sudoku.txt

easy,[0, 1, 2, 0, 0, 4, 8, 0, 3, 0, 7, 0, 6, 0, 0, 0, 0, 0, 9, 3, 0, 0, 0, 7, 5, 0, 0, 0, 0, 0, 3, 4, 0, 2, 6, 7, 0, 0, 3, 0, 8, 0, 1, 0, 0, 7, 6, 9, 0, 2, 5, 0, 0, 0, 0, 0, 5, 4, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 8, 0, 3, 0, 3, 0, 6, 2, 0, 0, 7, 5, 0],[6, 1, 2, 9, 5, 4, 8, 7, 3, 5, 7, 8, 6, 3, 2, 4, 1, 9, 9, 3, 4, 8, 1, 7, 5, 2, 6, 8, 5, 1, 3, 4, 9, 2, 6, 7, 4, 2, 3, 7, 8, 6, 1, 9, 5, 7, 6, 9, 1, 2, 5, 3, 4, 8, 2, 9, 5, 4, 7, 3, 6, 8, 1, 1, 4, 7, 5, 6, 8, 9, 3, 2, 3, 8, 6, 2, 9, 1, 7, 5, 4],
easy,[0, 0, 9, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 9, 3, 0, 0, 0, 8, 0, 1, 0, 3, 5, 4, 0, 1, 5, 0, 3, 0, 0, 2, 9, 4, 4, 0, 0, 0, 5, 0, 0, 0, 7, 2, 6, 3, 0, 0, 7, 0, 5, 1, 0, 4, 1, 5, 0, 2, 0, 7, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 1, 0, 0],[3, 1, 9, 8, 4, 5, 7, 6, 2, 5, 7, 4, 6, 2, 9, 3, 1, 8, 6, 8, 2, 1, 7, 3, 5, 4, 9, 1, 5, 7, 3, 8, 6, 2, 9, 4, 4, 9, 8, 2, 5, 1, 6, 3, 7, 2, 6, 3, 4, 9, 7, 8, 5, 1, 8, 4, 1, 5, 6, 2, 9, 7, 3, 7, 3, 6, 9, 1, 8, 4, 2, 5, 9, 2, 5, 7, 3, 4, 1, 8, 6],
medium,[7, 2, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 7, 9, 0, 0, 6, 0, 0, 8, 0, 0, 2, 2, 0, 0, 8, 0, 4, 0, 6, 7, 0, 0, 4, 5, 0, 7, 8, 0, 0, 3, 7, 0, 6, 0, 9, 0, 0, 1, 1, 0, 0, 3, 0, 0, 2, 0, 0, 9, 5, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 9, 8],[7, 2, 9, 1, 4, 3, 6, 8, 5, 8, 4, 1, 2, 6, 5, 3, 7, 9, 5, 3, 6, 9, 7, 8, 4, 1, 2, 2, 1, 5, 8, 3, 4, 9, 6, 7, 6, 9, 4, 5, 1, 7, 8, 2, 3, 3, 7, 8, 6, 2, 9, 5, 4, 1, 1, 8, 7, 3, 9, 6, 2, 5, 4, 9, 5, 2, 4, 8, 1, 7, 3, 6, 4, 6, 3, 7, 5, 2, 1, 9, 8],
easy,[4, 2, 0, 0, 0, 3, 0, 5, 0, 9, 5, 0, 0, 0, 0, 0, 7, 2, 6, 0, 0, 0, 5, 0, 4, 0, 1, 3, 6, 0, 0, 4, 0, 0, 0, 0, 7, 0, 9, 8, 0, 2, 5, 0, 3, 0, 0, 0, 0, 3, 0, 0, 9, 6, 5, 0, 6, 0, 1, 0, 0, 0, 7, 8, 9, 0, 0, 0, 0, 0, 6, 4, 0, 7, 0, 4, 0, 0, 0, 3, 5],[4, 2, 8, 1, 7, 3, 6, 5, 9, 9, 5, 1, 6, 8, 4, 3, 7, 2, 6, 3, 7, 2, 5, 9, 4, 8, 1, 3, 6, 5, 9, 4, 7, 2, 1, 8, 7, 1, 9, 8, 6, 2, 5, 4, 3, 2, 8, 4, 5, 3, 1, 7, 9, 6, 5, 4, 6, 3, 1, 8, 9, 2, 7, 8, 9, 3, 7, 2, 5, 1, 6, 4, 1, 7, 2, 4, 9, 6, 8, 3, 5],
medium,[0, 1, 0, 0, 0, 9, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 1, 0, 9, 0, 3, 0, 5, 8, 0, 7, 0, 0, 0, 0, 4, 1, 5, 0, 0, 0, 4, 9, 6, 0, 8, 7, 2, 0, 0, 0, 5, 7, 3, 0, 0, 0, 0, 5, 0, 6, 1, 0, 3, 0, 9, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 1, 0],[6, 1, 3, 8, 7, 9, 2, 5, 4, 7, 5, 8, 4, 2, 6, 9, 3, 1, 4, 9, 2, 3, 1, 5, 8, 6, 7, 2, 3, 7, 9, 4, 1, 5, 8, 6, 1, 4, 9, 6, 5, 8, 7, 2, 3, 8, 6, 5, 7, 3, 2, 1, 4, 9, 5, 7, 6, 1, 8, 3, 4, 9, 2, 3, 8, 1, 2, 9, 4, 6, 7, 5, 9, 2, 4, 5, 6, 7, 3, 1, 8],
easy,[6, 0, 0, 1, 0, 0, 0, 3, 0, 8, 7, 0, 0, 9, 3, 6, 0, 0, 4, 0, 9, 6, 2, 0, 0, 1, 0, 0, 0, 0, 8, 1, 6, 2, 0, 0, 0, 0, 0, 4, 0, 9, 0, 0, 0, 0, 0, 6, 7, 3, 2, 0, 0, 0, 0, 6, 0, 0, 8, 5, 1, 0, 2, 0, 0, 2, 3, 6, 0, 0, 9, 7, 0, 9, 0, 0, 0, 7, 0, 0, 3],[6, 2, 5, 1, 7, 4, 9, 3, 8, 8, 7, 1, 5, 9, 3, 6, 2, 4, 4, 3, 9, 6, 2, 8, 7, 1, 5, 3, 5, 4, 8, 1, 6, 2, 7, 9, 2, 1, 7, 4, 5, 9, 3, 8, 6, 9, 8, 6, 7, 3, 2, 4, 5, 1, 7, 6, 3, 9, 8, 5, 1, 4, 2, 5, 4, 2, 3, 6, 1, 8, 9, 7, 1, 9, 8, 2, 4, 7, 5, 6, 3],
easy,[0, 7, 6, 2, 5, 8, 4, 0, 9, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 9, 3, 5, 0, 7, 0, 0, 0, 0, 1, 8, 9, 0, 2, 5, 4, 0, 0, 0, 0, 6, 0, 1, 3, 9, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 7, 0, 7, 0, 4, 8, 1, 9, 2, 5, 0],[1, 7, 6, 2, 5, 8, 4, 3, 9, 8, 2, 9, 3, 7, 4, 6, 1, 5, 4, 3, 5, 1, 9, 6, 7, 2, 8, 2, 9, 3, 5, 4, 7, 1, 8, 6, 6, 1, 8, 9, 3, 2, 5, 4, 7, 5, 4, 7, 6, 8, 1, 3, 9, 2, 9, 5, 1, 7, 2, 3, 8, 6, 4, 3, 8, 2, 4, 6, 5, 9, 7, 1, 7, 6, 4, 8, 1, 9, 2, 5, 3],
hard,[0, 6, 9, 2, 3, 5, 0, 7, 8, 0, 0, 0, 4, 0, 0, 9, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 4, 2, 3, 0, 1, 0, 0, 0, 0, 9, 7, 6, 0, 2, 3, 5, 0, 0, 0, 0, 8, 0, 9, 2, 4, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 2, 7, 0, 5, 9, 6, 8, 1, 0],[4, 6, 9, 2, 3, 5, 1, 7, 8, 7, 5, 1, 4, 6, 8, 9, 3, 2, 3, 2, 8, 9, 1, 7, 5, 6, 4, 6, 4, 2, 3, 5, 1, 7, 8, 9, 8, 9, 7, 6, 4, 2, 3, 5, 1, 1, 3, 5, 8, 7, 9, 2, 4, 6, 9, 1, 3, 7, 8, 4, 6, 2, 5, 5, 8, 6, 1, 2, 3, 4, 9, 7, 2, 7, 4, 5, 9, 6, 8, 1, 3],
medium,[6, 7, 0, 0, 8, 9, 0, 3, 0, 8, 0, 9, 0, 1, 0, 5, 0, 0, 5, 0, 0, 2, 0, 7, 0, 8, 0, 0, 0, 6, 1, 0, 0, 4, 0, 5, 0, 0, 3, 0, 0, 0, 6, 0, 0, 1, 0, 7, 0, 0, 2, 8, 0, 0, 0, 6, 0, 4, 0, 1, 0, 0, 9, 0, 0, 2, 0, 3, 0, 7, 0, 8, 0, 9, 0, 7, 6, 0, 0, 2, 4],[6, 7, 4, 5, 8, 9, 2, 3, 1, 8, 2, 9, 3, 1, 6, 5, 4, 7, 5, 3, 1, 2, 4, 7, 9, 8, 6, 2, 8, 6, 1, 9, 3, 4, 7, 5, 9, 5, 3, 8, 7, 4, 6, 1, 2, 1, 4, 7, 6, 5, 2, 8, 9, 3, 7, 6, 8, 4, 2, 1, 3, 5, 9, 4, 1, 2, 9, 3, 5, 7, 6, 8, 3, 9, 5, 7, 6, 8, 1, 2, 4],
medium,[8, 0, 0, 0, 2, 0, 1, 0, 0, 7, 0, 5, 0, 4, 1, 0, 9, 3, 6, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 2, 3, 6, 0, 0, 0, 9, 4, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 1, 8, 2, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 7, 9, 7, 0, 5, 8, 0, 3, 0, 2, 0, 0, 8, 0, 9, 0, 0, 0, 5],[8, 9, 3, 6, 2, 5, 1, 7, 4, 7, 2, 5, 8, 4, 1, 6, 9, 3, 6, 4, 1, 9, 7, 3, 5, 2, 8, 1, 8, 2, 3, 6, 4, 7, 5, 9, 4, 6, 7, 2, 5, 9, 8, 3, 1, 3, 5, 9, 7, 1, 8, 2, 4, 6, 5, 1, 6, 4, 3, 2, 9, 8, 7, 9, 7, 4, 5, 8, 6, 3, 1, 2, 2, 3, 8, 1, 9, 7, 4, 6, 5],
medium,[0, 4, 0, 9, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 4, 0, 0, 1, 6, 7, 0, 0, 0, 8, 3, 0, 5, 0, 0, 0, 3, 8, 0, 4, 9, 6, 3, 0, 0, 0, 5, 0, 0, 0, 7, 2, 9, 4, 0, 6, 1, 0, 0, 0, 9, 0, 3, 6, 0, 0, 0, 1, 4, 1, 0, 0, 8, 0, 0, 7, 5, 0, 0, 0, 0, 0, 0, 5, 0, 3, 0],[5, 4, 1, 9, 3, 6, 2, 7, 8, 8, 3, 2, 5, 7, 4, 9, 6, 1, 6, 7, 9, 2, 1, 8, 3, 4, 5, 7, 1, 5, 3, 8, 2, 4, 9, 6, 3, 6, 8, 4, 5, 9, 1, 2, 7, 2, 9, 4, 7, 6, 1, 5, 8, 3, 9, 5, 3, 6, 2, 7, 8, 1, 4, 1, 2, 6, 8, 4, 3, 7, 5, 9, 4, 8, 7, 1, 9, 5, 6, 3, 2],
easy,[8, 0, 9, 4, 7, 0, 2, 0, 5, 0, 2, 0, 0, 0, 0, 9, 0, 0, 0, 0, 4, 2, 0, 0, 0, 1, 8, 9, 5, 0, 0, 3, 0, 4, 8, 0, 0, 0, 7, 0, 0, 0, 6, 0, 0, 0, 1, 6, 0, 5, 0, 0, 3, 9, 2, 7, 0, 0, 0, 4, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 7, 0, 6, 0, 5, 0, 1, 7, 8, 0, 4],[8, 3, 9, 4, 7, 1, 2, 6, 5, 5, 2, 1, 6, 8, 3, 9, 4, 7, 7, 6, 4, 2, 9, 5, 3, 1, 8, 9, 5, 2, 7, 3, 6, 4, 8, 1, 3, 8, 7, 1, 4, 9, 6, 5, 2, 4, 1, 6, 8, 5, 2, 7, 3, 9, 2, 7, 8, 5, 6, 4, 1, 9, 3, 1, 4, 3, 9, 2, 8, 5, 7, 6, 6, 9, 5, 3, 1, 7, 8, 2, 4],
medium,[6, 0, 0, 2, 0, 0, 7, 0, 4, 0, 0, 8, 0, 6, 0, 2, 0, 9, 0, 0, 0, 0, 4, 1, 6, 0, 0, 0, 6, 0, 0, 3, 8, 1, 0, 0, 8, 7, 0, 0, 0, 0, 0, 3, 6, 0, 0, 1, 4, 5, 0, 0, 7, 0, 0, 0, 6, 1, 7, 0, 0, 0, 0, 1, 0, 9, 0, 8, 0, 4, 0, 0, 5, 0, 7, 0, 0, 4, 0, 0, 1],[6, 1, 3, 2, 9, 5, 7, 8, 4, 4, 5, 8, 3, 6, 7, 2, 1, 9, 7, 9, 2, 8, 4, 1, 6, 5, 3, 9, 6, 5, 7, 3, 8, 1, 4, 2, 8, 7, 4, 9, 1, 2, 5, 3, 6, 2, 3, 1, 4, 5, 6, 9, 7, 8, 3, 4, 6, 1, 7, 9, 8, 2, 5, 1, 2, 9, 5, 8, 3, 4, 6, 7, 5, 8, 7, 6, 2, 4, 3, 9, 1],
easy,[0, 6, 1, 9, 0, 0, 0, 8, 0, 0, 2, 0, 4, 7, 0, 1, 5, 0, 9, 5, 0, 0, 0, 8, 0, 6, 0, 5, 0, 0, 0, 2, 0, 9, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 9, 0, 3, 0, 0, 0, 1, 0, 9, 0, 8, 0, 0, 0, 2, 4, 0, 1, 3, 0, 4, 2, 0, 9, 0, 0, 4, 0, 0, 0, 5, 6, 1, 0],[4, 6, 1, 9, 5, 3, 7, 8, 2, 3, 2, 8, 4, 7, 6, 1, 5, 9, 9, 5, 7, 2, 1, 8, 4, 6, 3, 5, 3, 6, 1, 2, 7, 9, 4, 8, 1, 7, 4, 5, 8, 9, 2, 3, 6, 2, 8, 9, 6, 3, 4, 5, 7, 1, 7, 9, 5, 8, 6, 1, 3, 2, 4, 6, 1, 3, 7, 4, 2, 8, 9, 5, 8, 4, 2, 3, 9, 5, 6, 1, 7],
easy,[8, 0, 7, 9, 6, 4, 3, 5, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0, 0, 0, 1, 0, 6, 2, 4, 0, 0, 6, 9, 4, 0, 3, 5, 7, 0, 0, 4, 2, 5, 0, 8, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 0, 8, 1, 3, 5, 9, 7, 0, 4],[8, 1, 7, 9, 6, 4, 3, 5, 2, 4, 5, 6, 8, 3, 2, 9, 1, 7, 2, 9, 3, 7, 1, 5, 4, 8, 6, 5, 7, 8, 1, 9, 6, 2, 4, 3, 1, 6, 9, 4, 2, 3, 5, 7, 8, 3, 4, 2, 5, 7, 8, 6, 9, 1, 9, 3, 4, 2, 8, 7, 1, 6, 5, 7, 2, 5, 6, 4, 1, 8, 3, 9, 6, 8, 1, 3, 5, 9, 7, 2, 4],
easy,[8, 0, 6, 0, 7, 0, 0, 1, 4, 4, 0, 2, 0, 0, 3, 0, 6, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 3, 5, 1, 0, 4, 5, 0, 8, 9, 0, 7, 7, 3, 0, 0, 9, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 4, 0, 3, 0, 0, 5, 0, 8, 6, 7, 0, 0, 5, 0, 2, 0, 3],[8, 9, 6, 2, 7, 5, 3, 1, 4, 4, 5, 2, 8, 1, 3, 7, 6, 9, 3, 1, 7, 6, 4, 9, 8, 5, 2, 2, 8, 9, 1, 6, 7, 4, 3, 5, 1, 6, 4, 5, 3, 8, 9, 2, 7, 7, 3, 5, 4, 9, 2, 6, 8, 1, 5, 2, 3, 7, 8, 4, 1, 9, 6, 9, 4, 1, 3, 2, 6, 5, 7, 8, 6, 7, 8, 9, 5, 1, 2, 4, 3],
easy,[0, 0, 8, 0, 0, 0, 1, 0, 2, 0, 0, 6, 0, 5, 0, 4, 9, 0, 9, 1, 0, 8, 3, 0, 0, 0, 0, 8, 5, 0, 1, 4, 9, 0, 0, 0, 0, 0, 3, 5, 0, 7, 8, 0, 0, 0, 0, 0, 2, 8, 3, 0, 7, 4, 0, 0, 0, 0, 2, 4, 0, 6, 5, 0, 9, 5, 0, 7, 0, 2, 0, 0, 6, 0, 2, 0, 0, 0, 9, 0, 0],[5, 7, 8, 4, 9, 6, 1, 3, 2, 2, 3, 6, 7, 5, 1, 4, 9, 8, 9, 1, 4, 8, 3, 2, 7, 5, 6, 8, 5, 7, 1, 4, 9, 6, 2, 3, 4, 2, 3, 5, 6, 7, 8, 1, 9, 1, 6, 9, 2, 8, 3, 5, 7, 4, 7, 8, 1, 9, 2, 4, 3, 6, 5, 3, 9, 5, 6, 7, 8, 2, 4, 1, 6, 4, 2, 3, 1, 5, 9, 8, 7],
hard,[8, 9, 6, 0, 0, 0, 0, 0, 2, 7, 1, 0, 6, 4, 9, 0, 0, 5, 0, 0, 3, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 9, 6, 0, 0, 8, 0, 6, 0, 1, 0, 5, 0, 7, 0, 9, 0, 0, 4, 8, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 1, 0, 0, 6, 0, 0, 9, 1, 4, 0, 2, 7, 1, 0, 0, 0, 0, 0, 9, 8, 4],[8, 9, 6, 3, 5, 1, 7, 4, 2, 7, 1, 2, 6, 4, 9, 8, 3, 5, 5, 4, 3, 8, 2, 7, 6, 9, 1, 3, 5, 4, 7, 9, 6, 2, 1, 8, 2, 6, 8, 1, 3, 5, 4, 7, 9, 9, 7, 1, 4, 8, 2, 5, 6, 3, 4, 3, 9, 2, 7, 8, 1, 5, 6, 6, 8, 5, 9, 1, 4, 3, 2, 7, 1, 2, 7, 5, 6, 3, 9, 8, 4],
easy,[9, 0, 0, 0, 4, 3, 0, 0, 7, 0, 0, 3, 2, 0, 1, 0, 6, 0, 0, 0, 0, 0, 0, 6, 3, 4, 0, 7, 6, 0, 9, 1, 4, 0, 8, 0, 0, 0, 0, 6, 0, 7, 0, 0, 0, 0, 1, 0, 3, 8, 5, 0, 7, 6, 0, 9, 4, 1, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 2, 6, 0, 0, 8, 0, 0, 7, 6, 0, 0, 0, 1],[9, 8, 6, 5, 4, 3, 1, 2, 7, 5, 4, 3, 2, 7, 1, 8, 6, 9, 2, 7, 1, 8, 9, 6, 3, 4, 5, 7, 6, 2, 9, 1, 4, 5, 8, 3, 3, 5, 8, 6, 2, 7, 9, 1, 4, 4, 1, 9, 3, 8, 5, 2, 7, 6, 6, 9, 4, 1, 3, 8, 7, 5, 2, 1, 3, 7, 4, 5, 2, 6, 9, 8, 8, 2, 5, 7, 6, 9, 4, 3, 1],
hard,[8, 0, 0, 0, 0, 2, 0, 0, 9, 0, 5, 0, 9, 0, 0, 0, 1, 0, 0, 2, 4, 0, 0, 0, 8, 0, 3, 0, 9, 0, 8, 4, 6, 2, 7, 0, 0, 0, 2, 0, 1, 0, 9, 0, 0, 0, 7, 6, 3, 2, 9, 0, 8, 0, 5, 0, 8, 0, 0, 0, 6, 4, 0, 0, 1, 0, 0, 0, 4, 0, 9, 0, 6, 0, 0, 5, 0, 0, 0, 0, 8],[8, 6, 1, 4, 3, 2, 7, 5, 9, 7, 5, 3, 9, 6, 8, 4, 1, 2, 9, 2, 4, 1, 5, 7, 8, 6, 3, 3, 9, 5, 8, 4, 6, 2, 7, 1, 4, 8, 2, 7, 1, 5, 9, 3, 6, 1, 7, 6, 3, 2, 9, 5, 8, 4, 5, 3, 8, 2, 9, 1, 6, 4, 7, 2, 1, 7, 6, 8, 4, 3, 9, 5, 6, 4, 9, 5, 7, 3, 1, 2, 8],
hard,[8, 3, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 4, 0, 0, 0, 5, 0, 3, 1, 4, 0, 5, 0, 0, 0, 9, 7, 0, 2, 0, 3, 5, 0, 7, 1, 0, 6, 0, 9, 1, 0, 0, 0, 5, 0, 2, 6, 5, 0, 2, 0, 0, 0, 1, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 9, 7],[8, 3, 2, 1, 6, 4, 7, 5, 9, 5, 1, 7, 9, 3, 8, 2, 6, 4, 9, 4, 6, 7, 2, 5, 8, 3, 1, 4, 6, 5, 8, 1, 2, 9, 7, 3, 2, 8, 3, 5, 9, 7, 1, 4, 6, 7, 9, 1, 6, 4, 3, 5, 8, 2, 6, 5, 4, 2, 7, 9, 3, 1, 8, 3, 7, 9, 4, 8, 1, 6, 2, 5, 1, 2, 8, 3, 5, 6, 4, 9, 7],
easy,[0, 0, 0, 4, 8, 7, 0, 6, 0, 0, 6, 0, 0, 3, 5, 7, 0, 0, 8, 0, 7, 0, 6, 0, 3, 0, 5, 6, 0, 0, 0, 7, 8, 0, 0, 9, 0, 0, 8, 0, 0, 0, 2, 0, 0, 7, 0, 0, 2, 1, 0, 0, 0, 8, 1, 0, 9, 0, 2, 0, 5, 0, 6, 0, 0, 6, 3, 5, 0, 0, 9, 0, 0, 3, 0, 7, 9, 6, 0, 0, 0],[3, 5, 1, 4, 8, 7, 9, 6, 2, 9, 6, 2, 1, 3, 5, 7, 8, 4, 8, 4, 7, 9, 6, 2, 3, 1, 5, 6, 2, 3, 5, 7, 8, 1, 4, 9, 5, 1, 8, 6, 4, 9, 2, 7, 3, 7, 9, 4, 2, 1, 3, 6, 5, 8, 1, 7, 9, 8, 2, 4, 5, 3, 6, 2, 8, 6, 3, 5, 1, 4, 9, 7, 4, 3, 5, 7, 9, 6, 8, 2, 1],
easy,[0, 0, 0, 0, 9, 7, 0, 4, 0, 7, 0, 4, 0, 1, 0, 5, 0, 8, 0, 5, 0, 0, 0, 4, 0, 0, 6, 0, 6, 0, 0, 4, 0, 0, 7, 5, 2, 0, 7, 0, 3, 0, 6, 0, 9, 5, 1, 0, 0, 2, 0, 0, 3, 0, 9, 0, 0, 4, 0, 0, 0, 6, 0, 4, 0, 2, 0, 6, 0, 9, 0, 1, 0, 3, 0, 9, 7, 0, 0, 0, 0],[8, 2, 6, 5, 9, 7, 1, 4, 3, 7, 9, 4, 6, 1, 3, 5, 2, 8, 1, 5, 3, 2, 8, 4, 7, 9, 6, 3, 6, 8, 1, 4, 9, 2, 7, 5, 2, 4, 7, 8, 3, 5, 6, 1, 9, 5, 1, 9, 7, 2, 6, 8, 3, 4, 9, 8, 1, 4, 5, 2, 3, 6, 7, 4, 7, 2, 3, 6, 8, 9, 5, 1, 6, 3, 5, 9, 7, 1, 4, 8, 2],
easy,[9, 0, 0, 1, 0, 0, 8, 0, 0, 0, 1, 0, 0, 6, 7, 0, 0, 0, 5, 8, 0, 0, 0, 4, 0, 0, 6, 6, 7, 0, 4, 0, 2, 0, 0, 0, 4, 3, 0, 5, 0, 9, 0, 6, 2, 0, 0, 0, 7, 0, 6, 0, 3, 4, 7, 0, 0, 2, 0, 0, 0, 4, 3, 0, 0, 0, 6, 7, 0, 0, 5, 0, 0, 0, 6, 0, 0, 5, 0, 0, 9],[9, 6, 4, 1, 5, 3, 8, 2, 7, 2, 1, 3, 8, 6, 7, 4, 9, 5, 5, 8, 7, 9, 2, 4, 3, 1, 6, 6, 7, 5, 4, 3, 2, 9, 8, 1, 4, 3, 8, 5, 1, 9, 7, 6, 2, 1, 9, 2, 7, 8, 6, 5, 3, 4, 7, 5, 1, 2, 9, 8, 6, 4, 3, 3, 4, 9, 6, 7, 1, 2, 5, 8, 8, 2, 6, 3, 4, 5, 1, 7, 9],
medium,[0, 9, 2, 6, 0, 1, 0, 0, 0, 0, 0, 6, 0, 5, 7, 0, 8, 0, 8, 1, 0, 0, 9, 0, 7, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 1, 0, 5, 7, 0, 4, 0, 8, 9, 0, 1, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 4, 0, 1, 0, 0, 3, 2, 0, 2, 0, 5, 7, 0, 9, 0, 0, 0, 0, 0, 3, 0, 2, 5, 4, 0],[7, 9, 2, 6, 8, 1, 3, 5, 4, 3, 4, 6, 2, 5, 7, 1, 8, 9, 8, 1, 5, 4, 9, 3, 7, 2, 6, 4, 6, 8, 9, 3, 5, 2, 7, 1, 2, 5, 7, 1, 4, 6, 8, 9, 3, 1, 3, 9, 7, 2, 8, 4, 6, 5, 5, 7, 4, 8, 1, 9, 6, 3, 2, 6, 2, 3, 5, 7, 4, 9, 1, 8, 9, 8, 1, 3, 6, 2, 5, 4, 7],
hard,[1, 0, 6, 0, 0, 7, 9, 5, 0, 0, 0, 9, 0, 5, 0, 4, 0, 7, 5, 0, 3, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, 0, 5, 4, 9, 0, 1, 0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 2, 0, 3, 8, 0, 4, 0, 7, 0, 6, 0, 0, 0, 9, 2, 3, 0, 0, 5, 0, 4],[1, 4, 6, 8, 3, 7, 9, 5, 2, 2, 8, 9, 1, 5, 6, 4, 3, 7, 5, 7, 3, 9, 2, 4, 1, 6, 8, 9, 6, 8, 7, 1, 2, 3, 4, 5, 3, 2, 7, 5, 4, 9, 8, 1, 6, 4, 1, 5, 6, 8, 3, 7, 2, 9, 6, 5, 1, 4, 9, 8, 2, 7, 3, 8, 3, 4, 2, 7, 5, 6, 9, 1, 7, 9, 2, 3, 6, 1, 5, 8, 4],
easy,[0, 0, 2, 0, 0, 4, 9, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 9, 6, 4, 1, 0, 0, 0, 0, 8, 2, 7, 5, 0, 3, 0, 0, 6, 9, 0, 0, 0, 4, 9, 5, 0, 0, 0, 3, 4, 0, 0, 2, 0, 8, 5, 1, 1, 0, 0, 0, 0, 2, 3, 8, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 7, 6, 0, 0, 5, 0, 0],[8, 5, 2, 3, 6, 4, 9, 1, 7, 7, 3, 1, 2, 8, 9, 6, 4, 5, 9, 6, 4, 1, 5, 7, 2, 3, 8, 2, 7, 5, 8, 3, 1, 4, 6, 9, 6, 1, 8, 4, 9, 5, 7, 2, 3, 3, 4, 9, 7, 2, 6, 8, 5, 1, 1, 9, 6, 5, 7, 2, 3, 8, 4, 5, 2, 3, 9, 4, 8, 1, 7, 6, 4, 8, 7, 6, 1, 3, 5, 9, 2],
medium,[9, 8, 0, 4, 6, 0, 1, 2, 0, 4, 0, 6, 3, 0, 0, 9, 0, 0, 0, 0, 5, 9, 0, 2, 0, 0, 3, 0, 0, 7, 0, 0, 3, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 7, 0, 0, 8, 0, 0, 5, 0, 0, 1, 0, 6, 3, 0, 0, 0, 0, 8, 0, 0, 4, 5, 0, 7, 0, 1, 9, 0, 3, 8, 0, 6, 2],[9, 8, 3, 4, 6, 7, 1, 2, 5, 4, 2, 6, 3, 1, 5, 9, 7, 8, 1, 7, 5, 9, 8, 2, 6, 4, 3, 8, 5, 7, 6, 4, 3, 2, 9, 1, 3, 9, 4, 8, 2, 1, 7, 5, 6, 2, 6, 1, 7, 5, 9, 8, 3, 4, 5, 4, 2, 1, 7, 6, 3, 8, 9, 6, 3, 8, 2, 9, 4, 5, 1, 7, 7, 1, 9, 5, 3, 8, 4, 6, 2],
medium,[0, 0, 8, 1, 0, 7, 0, 0, 0, 9, 7, 0, 0, 3, 0, 0, 0, 0, 3, 0, 6, 4, 0, 0, 5, 7, 0, 8, 6, 0, 0, 1, 4, 9, 0, 0, 0, 2, 0, 7, 0, 9, 0, 5, 0, 0, 0, 5, 3, 6, 0, 0, 4, 1, 0, 4, 9, 0, 0, 3, 2, 0, 5, 0, 0, 0, 0, 4, 0, 0, 3, 6, 0, 0, 0, 2, 0, 6, 4, 0, 0],[2, 5, 8, 1, 9, 7, 3, 6, 4, 9, 7, 4, 6, 3, 5, 1, 8, 2, 3, 1, 6, 4, 2, 8, 5, 7, 9, 8, 6, 3, 5, 1, 4, 9, 2, 7, 4, 2, 1, 7, 8, 9, 6, 5, 3, 7, 9, 5, 3, 6, 2, 8, 4, 1, 6, 4, 9, 8, 7, 3, 2, 1, 5, 5, 8, 2, 9, 4, 1, 7, 3, 6, 1, 3, 7, 2, 5, 6, 4, 9, 8],
easy,[2, 8, 4, 0, 5, 7, 6, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 5, 6, 0, 0, 0, 1, 4, 0, 0, 6, 0, 0, 1, 7, 0, 0, 0, 9, 0, 0, 0, 8, 0, 4, 0, 0, 0, 7, 0, 0, 0, 6, 3, 0, 0, 4, 0, 0, 3, 6, 0, 0, 0, 9, 7, 0, 0, 0, 0, 2, 0, 5, 0, 0, 0, 0, 7, 4, 3, 0, 1, 6, 8],[2, 8, 4, 9, 5, 7, 6, 3, 1, 3, 7, 1, 2, 4, 6, 9, 8, 5, 5, 6, 9, 3, 8, 1, 4, 7, 2, 6, 4, 8, 1, 7, 2, 3, 5, 9, 1, 3, 5, 8, 9, 4, 7, 2, 6, 7, 9, 2, 5, 6, 3, 8, 1, 4, 4, 5, 3, 6, 1, 8, 2, 9, 7, 8, 1, 6, 7, 2, 9, 5, 4, 3, 9, 2, 7, 4, 3, 5, 1, 6, 8],
hard,[0, 0, 9, 0, 0, 5, 0, 3, 0, 5, 7, 2, 6, 0, 0, 0, 0, 4, 0, 3, 0, 1, 7, 0, 0, 0, 0, 8, 4, 5, 2, 0, 0, 0, 1, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 1, 0, 0, 0, 4, 9, 8, 2, 0, 0, 0, 0, 6, 1, 0, 2, 0, 6, 0, 0, 0, 0, 7, 8, 5, 3, 0, 8, 0, 3, 0, 0, 6, 0, 0],[1, 6, 9, 4, 2, 5, 7, 3, 8, 5, 7, 2, 6, 8, 3, 1, 9, 4, 4, 3, 8, 1, 7, 9, 2, 6, 5, 8, 4, 5, 2, 9, 6, 3, 1, 7, 2, 9, 3, 7, 1, 8, 5, 4, 6, 7, 1, 6, 5, 3, 4, 9, 8, 2, 3, 5, 7, 8, 6, 1, 4, 2, 9, 6, 2, 1, 9, 4, 7, 8, 5, 3, 9, 8, 4, 3, 5, 2, 6, 7, 1],
medium,[0, 0, 0, 8, 0, 0, 0, 0, 6, 8, 0, 7, 0, 3, 9, 0, 0, 5, 4, 0, 0, 1, 0, 0, 0, 7, 0, 0, 7, 8, 9, 0, 3, 0, 2, 0, 9, 5, 0, 0, 1, 0, 0, 4, 3, 0, 4, 0, 5, 0, 2, 9, 6, 0, 0, 3, 0, 0, 0, 5, 0, 0, 2, 2, 0, 0, 3, 9, 0, 7, 0, 4, 5, 0, 0, 0, 0, 8, 0, 0, 0],[1, 2, 5, 8, 7, 4, 3, 9, 6, 8, 6, 7, 2, 3, 9, 4, 1, 5, 4, 9, 3, 1, 5, 6, 2, 7, 8, 6, 7, 8, 9, 4, 3, 5, 2, 1, 9, 5, 2, 6, 1, 7, 8, 4, 3, 3, 4, 1, 5, 8, 2, 9, 6, 7, 7, 3, 9, 4, 6, 5, 1, 8, 2, 2, 8, 6, 3, 9, 1, 7, 5, 4, 5, 1, 4, 7, 2, 8, 6, 3, 9],
medium,[0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 6, 0, 7, 9, 0, 0, 2, 0, 1, 7, 0, 5, 6, 0, 4, 0, 0, 6, 9, 0, 0, 0, 8, 3, 0, 5, 0, 8, 0, 2, 7, 5, 0, 6, 0, 5, 0, 7, 9, 0, 0, 0, 1, 8, 0, 0, 6, 0, 5, 9, 0, 4, 2, 0, 2, 0, 0, 1, 7, 0, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],[2, 5, 9, 4, 8, 1, 7, 3, 6, 8, 6, 4, 7, 9, 3, 5, 2, 1, 1, 7, 3, 5, 6, 2, 4, 8, 9, 6, 9, 2, 1, 4, 8, 3, 7, 5, 3, 8, 1, 2, 7, 5, 9, 6, 4, 5, 4, 7, 9, 3, 6, 2, 1, 8, 7, 1, 6, 3, 5, 9, 8, 4, 2, 4, 2, 5, 8, 1, 7, 6, 9, 3, 9, 3, 8, 6, 2, 4, 1, 5, 7],
hard,[0, 0, 0, 6, 0, 0, 3, 0, 7, 0, 6, 8, 9, 0, 7, 5, 0, 2, 0, 0, 0, 0, 1, 5, 6, 0, 0, 0, 0, 5, 0, 2, 1, 0, 6, 0, 0, 2, 0, 0, 8, 0, 0, 3, 0, 0, 4, 0, 3, 9, 0, 7, 0, 0, 0, 0, 3, 1, 7, 0, 0, 0, 0, 2, 0, 6, 4, 0, 3, 1, 9, 0, 5, 0, 9, 0, 0, 2, 0, 0, 0],[9, 5, 2, 6, 4, 8, 3, 1, 7, 1, 6, 8, 9, 3, 7, 5, 4, 2, 7, 3, 4, 2, 1, 5, 6, 8, 9, 3, 9, 5, 7, 2, 1, 8, 6, 4, 6, 2, 7, 5, 8, 4, 9, 3, 1, 8, 4, 1, 3, 9, 6, 7, 2, 5, 4, 8, 3, 1, 7, 9, 2, 5, 6, 2, 7, 6, 4, 5, 3, 1, 9, 8, 5, 1, 9, 8, 6, 2, 4, 7, 3],
easy,[0, 3, 0, 1, 0, 2, 4, 5, 0, 0, 0, 2, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 9, 0, 1, 8, 4, 7, 0, 0, 0, 0, 0, 7, 0, 6, 0, 5, 0, 3, 0, 8, 0, 0, 0, 0, 0, 6, 7, 2, 1, 0, 7, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 5, 0, 0, 0, 4, 1, 5, 0, 7, 0, 8, 0],[9, 3, 8, 1, 7, 2, 4, 5, 6, 6, 5, 2, 4, 9, 8, 1, 7, 3, 4, 1, 7, 6, 3, 5, 8, 9, 2, 1, 8, 4, 7, 2, 3, 9, 6, 5, 7, 2, 6, 9, 5, 1, 3, 4, 8, 5, 9, 3, 8, 4, 6, 7, 2, 1, 8, 7, 5, 2, 1, 9, 6, 3, 4, 2, 6, 9, 3, 8, 4, 5, 1, 7, 3, 4, 1, 5, 6, 7, 2, 8, 9],
hard,[0, 4, 6, 0, 0, 0, 7, 9, 5, 0, 7, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 5, 0, 4, 2, 0, 2, 0, 0, 0, 9, 0, 8, 3, 0, 0, 0, 2, 8, 1, 0, 0, 0, 9, 6, 0, 7, 0, 0, 0, 2, 0, 8, 9, 0, 3, 1, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 0, 7, 1, 5, 0, 0, 0, 2, 3, 0],[2, 4, 6, 1, 3, 8, 7, 9, 5, 5, 7, 9, 6, 2, 4, 3, 1, 8, 3, 8, 1, 9, 7, 5, 6, 4, 2, 1, 2, 7, 4, 6, 9, 5, 8, 3, 4, 5, 3, 2, 8, 1, 9, 6, 7, 9, 6, 8, 7, 5, 3, 1, 2, 4, 8, 9, 2, 3, 1, 7, 4, 5, 6, 6, 3, 4, 5, 9, 2, 8, 7, 1, 7, 1, 5, 8, 4, 6, 2, 3, 9],
medium,[5, 7, 1, 0, 9, 0, 3, 0, 4, 0, 9, 0, 7, 0, 3, 5, 0, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 3, 7, 1, 0, 0, 0, 0, 0, 9, 4, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 6, 8, 0, 4, 0, 9, 0, 1, 0, 7, 0, 6, 0, 2, 3, 8],[5, 7, 1, 6, 9, 8, 3, 2, 4, 6, 9, 2, 7, 4, 3, 5, 8, 1, 4, 8, 3, 1, 5, 2, 6, 7, 9, 7, 1, 4, 5, 2, 9, 8, 6, 3, 8, 6, 5, 3, 7, 1, 9, 4, 2, 3, 2, 9, 4, 8, 6, 1, 5, 7, 9, 5, 8, 2, 3, 7, 4, 1, 6, 2, 3, 6, 8, 1, 4, 7, 9, 5, 1, 4, 7, 9, 6, 5, 2, 3, 8],
easy,[0, 1, 0, 6, 4, 0, 0, 0, 2, 3, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0, 6, 1, 0, 0, 0, 3, 9, 0, 8, 0, 0, 3, 6, 0, 4, 0, 0, 0, 7, 0, 5, 0, 3, 0, 0, 0, 6, 0, 2, 1, 0, 0, 9, 0, 7, 2, 0, 0, 0, 5, 9, 0, 0, 8, 9, 0, 0, 0, 0, 4, 0, 6, 6, 0, 0, 0, 9, 2, 0, 5, 0],[9, 1, 8, 6, 4, 3, 5, 7, 2, 3, 7, 2, 5, 8, 9, 6, 1, 4, 4, 5, 6, 1, 2, 7, 8, 3, 9, 1, 8, 9, 7, 3, 6, 2, 4, 5, 2, 4, 7, 9, 5, 8, 3, 6, 1, 5, 6, 3, 2, 1, 4, 7, 9, 8, 7, 2, 1, 4, 6, 5, 9, 8, 3, 8, 9, 5, 3, 7, 1, 4, 2, 6, 6, 3, 4, 8, 9, 2, 1, 5, 7],
hard,[7, 0, 0, 8, 6, 3, 0, 2, 4, 0, 0, 8, 0, 5, 7, 0, 0, 0, 4, 0, 0, 9, 0, 0, 7, 3, 0, 9, 0, 0, 2, 0, 8, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 6, 0, 9, 0, 0, 5, 0, 9, 4, 0, 0, 2, 0, 0, 7, 0, 0, 0, 1, 7, 0, 9, 0, 0, 5, 2, 0, 3, 9, 6, 0, 0, 1],[7, 1, 9, 8, 6, 3, 5, 2, 4, 2, 3, 8, 4, 5, 7, 1, 9, 6, 4, 6, 5, 9, 2, 1, 7, 3, 8, 9, 5, 1, 2, 4, 8, 6, 7, 3, 6, 4, 2, 7, 3, 5, 8, 1, 9, 8, 7, 3, 6, 1, 9, 2, 4, 5, 1, 9, 4, 5, 8, 2, 3, 6, 7, 3, 8, 6, 1, 7, 4, 9, 5, 2, 5, 2, 7, 3, 9, 6, 4, 8, 1],
hard,[3, 1, 0, 2, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 8, 0, 6, 3, 0, 2, 8, 0, 1, 6, 3, 0, 0, 0, 0, 0, 4, 8, 0, 9, 2, 0, 0, 0, 0, 0, 7, 2, 4, 0, 9, 6, 0, 3, 8, 0, 9, 0, 7, 0, 0, 5, 0, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 6, 0, 5, 8],[3, 1, 6, 2, 4, 7, 9, 8, 5, 8, 9, 2, 6, 3, 5, 1, 4, 7, 7, 4, 5, 9, 8, 1, 6, 3, 2, 2, 8, 9, 1, 6, 3, 5, 7, 4, 6, 7, 4, 8, 5, 9, 2, 1, 3, 1, 5, 3, 7, 2, 4, 8, 9, 6, 4, 3, 8, 5, 9, 2, 7, 6, 1, 5, 6, 7, 4, 1, 8, 3, 2, 9, 9, 2, 1, 3, 7, 6, 4, 5, 8],
easy,[0, 0, 4, 0, 0, 5, 0, 0, 1, 1, 7, 0, 0, 0, 4, 3, 2, 0, 0, 0, 0, 1, 7, 9, 0, 0, 0, 8, 0, 0, 0, 0, 2, 9, 3, 0, 7, 3, 0, 0, 1, 0, 0, 4, 8, 0, 5, 6, 8, 0, 0, 0, 0, 2, 0, 0, 0, 3, 9, 1, 0, 0, 0, 0, 1, 3, 5, 0, 0, 0, 9, 7, 5, 0, 0, 4, 0, 0, 2, 0, 0],[6, 9, 4, 2, 3, 5, 7, 8, 1, 1, 7, 5, 6, 8, 4, 3, 2, 9, 3, 2, 8, 1, 7, 9, 4, 6, 5, 8, 4, 1, 7, 5, 2, 9, 3, 6, 7, 3, 2, 9, 1, 6, 5, 4, 8, 9, 5, 6, 8, 4, 3, 1, 7, 2, 2, 6, 7, 3, 9, 1, 8, 5, 4, 4, 1, 3, 5, 2, 8, 6, 9, 7, 5, 8, 9, 4, 6, 7, 2, 1, 3],
hard,[0, 5, 9, 1, 0, 0, 4, 0, 0, 8, 0, 0, 7, 2, 0, 0, 0, 0, 7, 0, 0, 3, 0, 4, 0, 0, 0, 3, 0, 1, 0, 4, 0, 0, 0, 8, 9, 2, 7, 0, 6, 0, 1, 4, 5, 4, 0, 0, 0, 1, 0, 2, 0, 3, 0, 0, 0, 6, 0, 2, 0, 0, 9, 0, 0, 0, 0, 7, 8, 0, 0, 6, 0, 0, 3, 0, 0, 1, 8, 2, 0],[2, 5, 9, 1, 8, 6, 4, 3, 7, 8, 3, 4, 7, 2, 9, 6, 5, 1, 7, 1, 6, 3, 5, 4, 9, 8, 2, 3, 6, 1, 2, 4, 5, 7, 9, 8, 9, 2, 7, 8, 6, 3, 1, 4, 5, 4, 8, 5, 9, 1, 7, 2, 6, 3, 1, 4, 8, 6, 3, 2, 5, 7, 9, 5, 9, 2, 4, 7, 8, 3, 1, 6, 6, 7, 3, 5, 9, 1, 8, 2, 4],
hard,[0, 1, 0, 7, 0, 0, 9, 0, 0, 0, 2, 9, 0, 0, 5, 7, 8, 4, 0, 0, 0, 3, 0, 0, 6, 0, 5, 0, 3, 0, 5, 0, 9, 8, 0, 0, 0, 8, 0, 6, 0, 1, 0, 5, 0, 0, 0, 5, 2, 0, 4, 0, 7, 0, 6, 0, 7, 0, 0, 3, 0, 0, 0, 2, 9, 3, 8, 0, 0, 1, 4, 0, 0, 0, 1, 0, 0, 7, 0, 3, 0],[5, 1, 6, 7, 4, 8, 9, 2, 3, 3, 2, 9, 1, 6, 5, 7, 8, 4, 4, 7, 8, 3, 9, 2, 6, 1, 5, 1, 3, 4, 5, 7, 9, 8, 6, 2, 7, 8, 2, 6, 3, 1, 4, 5, 9, 9, 6, 5, 2, 8, 4, 3, 7, 1, 6, 5, 7, 4, 1, 3, 2, 9, 8, 2, 9, 3, 8, 5, 6, 1, 4, 7, 8, 4, 1, 9, 2, 7, 5, 3, 6],
hard,[6, 0, 0, 0, 0, 0, 2, 1, 0, 0, 9, 4, 0, 0, 3, 5, 0, 7, 0, 2, 1, 6, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 2, 0, 7, 0, 3, 6, 2, 0, 0, 0, 1, 9, 4, 0, 7, 0, 3, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 4, 9, 5, 0, 9, 0, 6, 8, 0, 0, 7, 2, 0, 0, 3, 7, 0, 0, 0, 0, 0, 1],[6, 5, 3, 9, 4, 7, 2, 1, 8, 8, 9, 4, 1, 2, 3, 5, 6, 7, 7, 2, 1, 6, 8, 5, 4, 3, 9, 1, 8, 9, 4, 6, 2, 3, 7, 5, 3, 6, 2, 5, 7, 8, 1, 9, 4, 4, 7, 5, 3, 1, 9, 6, 8, 2, 2, 1, 8, 7, 3, 4, 9, 5, 6, 9, 4, 6, 8, 5, 1, 7, 2, 3, 5, 3, 7, 2, 9, 6, 8, 4, 1],
easy,[5, 0, 0, 0, 1, 0, 0, 6, 0, 0, 0, 4, 0, 7, 0, 0, 0, 8, 2, 0, 0, 8, 0, 4, 0, 3, 0, 8, 6, 1, 0, 0, 9, 3, 7, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 3, 2, 6, 0, 0, 5, 1, 4, 0, 5, 0, 9, 0, 8, 0, 0, 1, 4, 0, 0, 0, 6, 0, 7, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 3],[5, 9, 8, 3, 1, 2, 4, 6, 7, 3, 1, 4, 5, 7, 6, 9, 2, 8, 2, 7, 6, 8, 9, 4, 1, 3, 5, 8, 6, 1, 4, 5, 9, 3, 7, 2, 7, 4, 5, 1, 2, 3, 8, 9, 6, 9, 3, 2, 6, 8, 7, 5, 1, 4, 6, 5, 7, 9, 3, 8, 2, 4, 1, 4, 8, 3, 2, 6, 1, 7, 5, 9, 1, 2, 9, 7, 4, 5, 6, 8, 3],
medium,[0, 6, 7, 2, 3, 0, 5, 4, 0, 0, 4, 0, 0, 0, 6, 0, 0, 8, 5, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 0, 8, 2, 9, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 4, 1, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 6, 4, 0, 0, 9, 0, 0, 0, 8, 0, 0, 3, 5, 0, 6, 4, 9, 2, 0],[1, 6, 7, 2, 3, 8, 5, 4, 9, 9, 4, 3, 1, 5, 6, 2, 7, 8, 5, 8, 2, 4, 9, 7, 1, 6, 3, 6, 7, 1, 8, 2, 9, 3, 5, 4, 3, 9, 4, 6, 7, 5, 8, 1, 2, 2, 5, 8, 3, 4, 1, 6, 9, 7, 7, 1, 9, 5, 8, 2, 4, 3, 6, 4, 2, 6, 9, 1, 3, 7, 8, 5, 8, 3, 5, 7, 6, 4, 9, 2, 1],
easy,[0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 7, 0, 1, 2, 5, 0, 0, 0, 8, 6, 0, 0, 7, 0, 4, 9, 8, 1, 0, 4, 2, 0, 0, 3, 0, 0, 7, 4, 0, 8, 0, 6, 5, 0, 0, 3, 0, 0, 9, 5, 0, 8, 1, 5, 6, 0, 2, 0, 0, 3, 9, 0, 0, 0, 8, 5, 4, 0, 7, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0],[1, 5, 3, 9, 6, 4, 2, 7, 8, 4, 9, 7, 8, 1, 2, 5, 6, 3, 2, 8, 6, 3, 5, 7, 1, 4, 9, 8, 1, 5, 4, 2, 6, 9, 3, 7, 9, 7, 4, 1, 8, 3, 6, 5, 2, 6, 3, 2, 7, 9, 5, 4, 8, 1, 5, 6, 1, 2, 7, 8, 3, 9, 4, 3, 2, 8, 5, 4, 9, 7, 1, 6, 7, 4, 9, 6, 3, 1, 8, 2, 5],
easy,[0, 4, 7, 0, 0, 1, 0, 6, 9, 1, 3, 2, 9, 0, 0, 0, 0, 5, 0, 0, 9, 3, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 3, 0, 5, 0, 0, 9, 0, 0, 1, 0, 3, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 5, 0, 7, 6, 0, 0, 4, 0, 0, 0, 0, 6, 9, 2, 1, 6, 2, 0, 1, 0, 0, 5, 7, 0],[8, 4, 7, 2, 5, 1, 3, 6, 9, 1, 3, 2, 9, 6, 8, 7, 4, 5, 5, 6, 9, 3, 7, 4, 1, 8, 2, 2, 1, 6, 7, 8, 5, 4, 9, 3, 7, 5, 8, 4, 9, 3, 2, 1, 6, 3, 9, 4, 6, 1, 2, 8, 5, 7, 9, 8, 1, 5, 2, 7, 6, 3, 4, 4, 7, 5, 8, 3, 6, 9, 2, 1, 6, 2, 3, 1, 4, 9, 5, 7, 8],
hard,[4, 0, 9, 0, 0, 0, 0, 7, 3, 5, 0, 0, 0, 9, 0, 0, 0, 6, 7, 0, 2, 0, 3, 6, 0, 0, 5, 0, 4, 1, 0, 0, 2, 7, 0, 8, 0, 0, 0, 0, 5, 0, 0, 0, 0, 8, 0, 5, 7, 0, 0, 6, 4, 0, 1, 0, 0, 6, 8, 0, 2, 0, 4, 6, 0, 0, 0, 4, 0, 0, 0, 7, 9, 3, 0, 0, 0, 0, 8, 0, 1],[4, 6, 9, 5, 2, 8, 1, 7, 3, 5, 8, 3, 1, 9, 7, 4, 2, 6, 7, 1, 2, 4, 3, 6, 9, 8, 5, 3, 4, 1, 9, 6, 2, 7, 5, 8, 2, 7, 6, 8, 5, 4, 3, 1, 9, 8, 9, 5, 7, 1, 3, 6, 4, 2, 1, 5, 7, 6, 8, 9, 2, 3, 4, 6, 2, 8, 3, 4, 1, 5, 9, 7, 9, 3, 4, 2, 7, 5, 8, 6, 1],
easy,[0, 0, 9, 6, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 1, 0, 3, 0, 0, 5, 6, 7, 0, 0, 7, 0, 0, 1, 0, 0, 8, 3, 8, 5, 0, 0, 0, 2, 7, 1, 2, 0, 0, 7, 0, 0, 6, 0, 0, 1, 9, 2, 0, 0, 6, 0, 5, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 2, 7, 0, 0],[5, 2, 9, 6, 8, 7, 1, 4, 3, 6, 7, 3, 1, 4, 5, 8, 2, 9, 4, 1, 8, 3, 2, 9, 5, 6, 7, 9, 6, 7, 2, 5, 1, 4, 3, 8, 3, 8, 5, 9, 6, 4, 2, 7, 1, 2, 4, 1, 7, 3, 8, 6, 9, 5, 1, 9, 2, 8, 7, 6, 3, 5, 4, 7, 5, 6, 4, 1, 3, 9, 8, 2, 8, 3, 4, 5, 9, 2, 7, 1, 6],
medium,[9, 0, 0, 0, 0, 0, 7, 0, 0, 2, 3, 1, 6, 7, 5, 0, 0, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 4, 1, 0, 0, 3, 0, 2, 8, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 9, 3, 0, 2, 0, 0, 6, 5, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 5, 4, 2, 6, 3, 7, 0, 0, 4, 0, 0, 0, 0, 0, 2],[9, 4, 8, 2, 1, 3, 7, 5, 6, 2, 3, 1, 6, 7, 5, 9, 4, 8, 5, 6, 7, 8, 9, 4, 3, 2, 1, 4, 1, 5, 7, 3, 6, 2, 8, 9, 8, 2, 6, 1, 5, 9, 4, 7, 3, 7, 9, 3, 4, 2, 8, 1, 6, 5, 6, 7, 2, 3, 8, 1, 5, 9, 4, 1, 8, 9, 5, 4, 2, 6, 3, 7, 3, 5, 4, 9, 6, 7, 8, 1, 2],
hard,[2, 3, 1, 0, 0, 6, 0, 0, 7, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 5, 6, 0, 2, 7, 0, 0, 0, 8, 3, 0, 0, 7, 8, 4, 5, 6, 0, 0, 5, 1, 0, 0, 0, 3, 7, 0, 9, 1, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 4, 0, 0, 2, 0, 0, 3, 5, 1],[2, 3, 1, 4, 5, 6, 8, 9, 7, 8, 6, 5, 9, 7, 2, 1, 3, 4, 9, 7, 4, 1, 3, 8, 2, 6, 5, 6, 4, 2, 7, 9, 1, 5, 8, 3, 3, 9, 7, 8, 4, 5, 6, 1, 2, 5, 1, 8, 6, 2, 3, 7, 4, 9, 1, 2, 3, 5, 8, 9, 4, 7, 6, 7, 5, 6, 3, 1, 4, 9, 2, 8, 4, 8, 9, 2, 6, 7, 3, 5, 1],
medium,[0, 4, 0, 8, 0, 5, 1, 7, 0, 1, 0, 0, 3, 6, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 9, 0, 0, 0, 1, 0, 0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 4, 8, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 8, 7, 0, 0, 5, 0, 9, 1, 6, 0, 2, 0, 3, 0],[6, 4, 3, 8, 2, 5, 1, 7, 9, 1, 5, 7, 3, 6, 9, 2, 4, 8, 9, 8, 2, 7, 4, 1, 3, 5, 6, 2, 6, 8, 9, 7, 4, 5, 1, 3, 7, 3, 4, 5, 1, 8, 9, 6, 2, 5, 1, 9, 2, 3, 6, 7, 8, 4, 8, 7, 5, 4, 9, 3, 6, 2, 1, 3, 2, 6, 1, 8, 7, 4, 9, 5, 4, 9, 1, 6, 5, 2, 8, 3, 7],
medium,[3, 2, 0, 5, 0, 0, 1, 8, 0, 0, 5, 0, 0, 0, 0, 2, 0, 9, 0, 9, 7, 6, 1, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 9, 0, 0, 7, 0, 1, 0, 5, 0, 4, 0, 0, 6, 0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 3, 1, 7, 6, 0, 6, 0, 9, 0, 0, 0, 0, 2, 0, 0, 8, 1, 0, 0, 6, 0, 3, 5],[3, 2, 4, 5, 7, 9, 1, 8, 6, 1, 5, 6, 3, 8, 4, 2, 7, 9, 8, 9, 7, 6, 1, 2, 3, 5, 4, 4, 1, 5, 2, 6, 3, 8, 9, 7, 2, 7, 8, 1, 9, 5, 6, 4, 3, 9, 6, 3, 8, 4, 7, 5, 1, 2, 5, 4, 2, 9, 3, 1, 7, 6, 8, 6, 3, 9, 7, 5, 8, 4, 2, 1, 7, 8, 1, 4, 2, 6, 9, 3, 5],
medium,[7, 1, 0, 0, 2, 5, 0, 0, 0, 4, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 1, 0, 7, 0, 6, 0, 0, 9, 2, 0, 9, 0, 8, 1, 4, 0, 7, 0, 6, 4, 0, 0, 7, 0, 1, 0, 3, 0, 2, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 1, 8, 0, 5, 0, 0, 0, 7, 5, 0, 0, 1, 4],[7, 1, 9, 3, 2, 5, 6, 4, 8, 4, 5, 8, 1, 9, 6, 3, 2, 7, 2, 6, 3, 4, 8, 7, 9, 5, 1, 1, 8, 7, 5, 6, 3, 4, 9, 2, 3, 9, 2, 8, 1, 4, 5, 7, 6, 6, 4, 5, 9, 7, 2, 1, 8, 3, 5, 2, 1, 6, 4, 8, 7, 3, 9, 9, 7, 4, 2, 3, 1, 8, 6, 5, 8, 3, 6, 7, 5, 9, 2, 1, 4],
easy,[0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 5, 2, 0, 5, 9, 6, 2, 0, 0, 0, 0, 1, 4, 7, 8, 0, 3, 0, 0, 9, 5, 0, 0, 0, 6, 5, 8, 0, 0, 0, 3, 6, 0, 0, 4, 0, 1, 8, 2, 2, 0, 0, 0, 0, 4, 3, 1, 6, 0, 1, 7, 9, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0],[7, 3, 2, 4, 1, 5, 9, 6, 8, 1, 8, 4, 3, 9, 6, 5, 2, 7, 5, 9, 6, 2, 8, 7, 4, 3, 1, 4, 7, 8, 1, 3, 2, 6, 9, 5, 9, 2, 1, 6, 5, 8, 7, 4, 3, 3, 6, 5, 7, 4, 9, 1, 8, 2, 2, 5, 9, 8, 7, 4, 3, 1, 6, 6, 1, 7, 9, 2, 3, 8, 5, 4, 8, 4, 3, 5, 6, 1, 2, 7, 9],
hard,[9, 4, 0, 0, 2, 0, 0, 0, 6, 5, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 7, 6, 4, 0, 0, 1, 3, 0, 0, 0, 8, 5, 3, 0, 4, 9, 7, 0, 0, 0, 3, 8, 0, 0, 4, 6, 5, 0, 0, 0, 2, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 0, 4, 8, 0, 0, 0, 4, 0, 0, 9, 7],[9, 4, 1, 7, 2, 8, 5, 3, 6, 5, 3, 8, 4, 1, 6, 7, 2, 9, 6, 2, 7, 5, 3, 9, 1, 4, 8, 7, 6, 4, 9, 5, 1, 3, 8, 2, 2, 8, 5, 3, 6, 4, 9, 7, 1, 1, 9, 3, 8, 7, 2, 4, 6, 5, 4, 7, 9, 2, 8, 5, 6, 1, 3, 3, 1, 2, 6, 9, 7, 8, 5, 4, 8, 5, 6, 1, 4, 3, 2, 9, 7],
easy,[7, 5, 0, 0, 0, 0, 0, 0, 1, 4, 2, 8, 0, 0, 6, 0, 0, 5, 0, 0, 3, 7, 0, 0, 0, 9, 2, 6, 0, 0, 2, 0, 9, 0, 0, 7, 0, 9, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 4, 0, 7, 0, 0, 8, 9, 4, 0, 0, 0, 3, 2, 0, 0, 5, 0, 0, 9, 0, 0, 4, 7, 3, 3, 0, 0, 0, 0, 0, 0, 1, 9],[7, 5, 9, 8, 3, 2, 6, 4, 1, 4, 2, 8, 1, 9, 6, 7, 3, 5, 1, 6, 3, 7, 5, 4, 8, 9, 2, 6, 1, 4, 2, 8, 9, 3, 5, 7, 8, 9, 7, 3, 6, 5, 1, 2, 4, 2, 3, 5, 4, 1, 7, 9, 6, 8, 9, 4, 1, 5, 7, 3, 2, 8, 6, 5, 8, 6, 9, 2, 1, 4, 7, 3, 3, 7, 2, 6, 4, 8, 5, 1, 9],
medium,[0, 0, 2, 4, 3, 0, 6, 0, 8, 0, 7, 4, 8, 0, 0, 0, 0, 0, 5, 0, 0, 0, 6, 9, 0, 4, 0, 3, 0, 0, 2, 0, 0, 7, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 4, 0, 0, 3, 0, 5, 0, 9, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 5, 7, 0, 4, 0, 3, 0, 5, 2, 9, 0, 0],[9, 1, 2, 4, 3, 7, 6, 5, 8, 6, 7, 4, 8, 2, 5, 1, 3, 9, 5, 3, 8, 1, 6, 9, 2, 4, 7, 3, 4, 5, 2, 9, 8, 7, 1, 6, 7, 8, 9, 6, 1, 3, 4, 2, 5, 1, 2, 6, 5, 7, 4, 8, 9, 3, 2, 5, 7, 9, 8, 1, 3, 6, 4, 8, 9, 1, 3, 4, 6, 5, 7, 2, 4, 6, 3, 7, 5, 2, 9, 8, 1],
easy,[0, 0, 0, 0, 7, 3, 8, 0, 2, 6, 8, 0, 0, 0, 0, 4, 0, 0, 7, 0, 5, 0, 0, 4, 6, 1, 0, 0, 0, 8, 0, 3, 6, 0, 0, 0, 0, 0, 9, 4, 0, 7, 2, 0, 0, 0, 0, 0, 2, 9, 0, 3, 0, 0, 0, 4, 1, 3, 0, 0, 5, 0, 7, 0, 0, 6, 0, 0, 0, 0, 3, 8, 2, 0, 3, 7, 1, 0, 0, 0, 0],[1, 9, 4, 6, 7, 3, 8, 5, 2, 6, 8, 2, 9, 5, 1, 4, 7, 3, 7, 3, 5, 8, 2, 4, 6, 1, 9, 5, 2, 8, 1, 3, 6, 7, 9, 4, 3, 1, 9, 4, 8, 7, 2, 6, 5, 4, 6, 7, 2, 9, 5, 3, 8, 1, 8, 4, 1, 3, 6, 9, 5, 2, 7, 9, 7, 6, 5, 4, 2, 1, 3, 8, 2, 5, 3, 7, 1, 8, 9, 4, 6],
hard,[0, 6, 0, 4, 0, 0, 5, 0, 2, 8, 1, 5, 2, 7, 6, 0, 0, 9, 0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 7, 0, 4, 6, 0, 2, 1, 0, 5, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 3, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 3, 6, 9, 7, 2, 1, 1, 0, 9, 0, 0, 5, 0, 3, 0],[9, 6, 3, 4, 1, 8, 5, 7, 2, 8, 1, 5, 2, 7, 6, 3, 4, 9, 4, 7, 2, 9, 5, 3, 8, 1, 6, 3, 5, 6, 1, 9, 4, 2, 8, 7, 7, 8, 4, 6, 3, 2, 1, 9, 5, 2, 9, 1, 5, 8, 7, 4, 6, 3, 6, 3, 7, 8, 2, 1, 9, 5, 4, 5, 4, 8, 3, 6, 9, 7, 2, 1, 1, 2, 9, 7, 4, 5, 6, 3, 8],
easy,[0, 0, 0, 0, 0, 7, 0, 0, 0, 3, 0, 2, 4, 0, 0, 0, 1, 8, 4, 8, 0, 0, 2, 0, 9, 5, 6, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 9, 3, 5, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 2, 4, 1, 0, 8, 0, 0, 6, 3, 8, 7, 0, 0, 0, 3, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0],[9, 1, 6, 8, 5, 7, 3, 2, 4, 3, 5, 2, 4, 9, 6, 7, 1, 8, 4, 8, 7, 3, 2, 1, 9, 5, 6, 5, 9, 8, 1, 4, 2, 6, 3, 7, 7, 6, 4, 9, 3, 5, 2, 8, 1, 1, 2, 3, 6, 7, 8, 4, 9, 5, 2, 4, 1, 7, 8, 9, 5, 6, 3, 8, 7, 9, 5, 6, 3, 1, 4, 2, 6, 3, 5, 2, 1, 4, 8, 7, 9],
easy,[7, 0, 6, 2, 0, 0, 3, 0, 0, 0, 2, 1, 0, 0, 3, 6, 0, 0, 0, 0, 5, 4, 9, 0, 1, 0, 7, 0, 1, 0, 0, 5, 0, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 3, 0, 8, 0, 0, 7, 0, 8, 0, 7, 0, 4, 5, 2, 0, 0, 0, 0, 2, 3, 0, 0, 5, 4, 0, 0, 0, 4, 0, 0, 1, 7, 0, 6],[7, 4, 6, 2, 1, 8, 3, 5, 9, 9, 2, 1, 5, 7, 3, 6, 8, 4, 3, 8, 5, 4, 9, 6, 1, 2, 7, 6, 1, 8, 7, 5, 9, 4, 3, 2, 4, 7, 9, 1, 3, 2, 8, 6, 5, 2, 5, 3, 6, 8, 4, 9, 7, 1, 8, 6, 7, 9, 4, 5, 2, 1, 3, 1, 9, 2, 3, 6, 7, 5, 4, 8, 5, 3, 4, 8, 2, 1, 7, 9, 6],
medium,[6, 1, 7, 4, 0, 0, 2, 0, 0, 0, 5, 2, 0, 7, 0, 0, 4, 8, 0, 0, 0, 6, 0, 0, 3, 1, 0, 0, 0, 0, 3, 0, 0, 5, 8, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 8, 3, 5, 0, 0, 7, 0, 0, 0, 0, 8, 6, 0, 0, 1, 0, 0, 0, 1, 4, 0, 0, 5, 0, 8, 6, 0, 0, 0, 3, 0, 0, 6, 1, 5, 9],[6, 1, 7, 4, 3, 8, 2, 9, 5, 3, 5, 2, 1, 7, 9, 6, 4, 8, 4, 9, 8, 6, 2, 5, 3, 1, 7, 9, 7, 4, 3, 6, 2, 5, 8, 1, 2, 6, 1, 5, 8, 4, 9, 7, 3, 8, 3, 5, 9, 1, 7, 4, 2, 6, 5, 8, 6, 2, 9, 1, 7, 3, 4, 1, 4, 9, 7, 5, 3, 8, 6, 2, 7, 2, 3, 8, 4, 6, 1, 5, 9],
easy,[0, 1, 0, 0, 0, 0, 8, 0, 0, 8, 0, 6, 7, 9, 3, 0, 0, 1, 0, 0, 5, 0, 1, 8, 2, 0, 0, 0, 6, 7, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 8, 0, 7, 1, 2, 0, 0, 0, 2, 9, 3, 0, 7, 0, 0, 7, 0, 0, 4, 8, 6, 5, 0, 2, 0, 0, 9, 0, 0, 0, 0, 4, 0],[9, 1, 3, 5, 4, 2, 8, 7, 6, 8, 2, 6, 7, 9, 3, 4, 5, 1, 4, 7, 5, 6, 1, 8, 2, 3, 9, 2, 6, 7, 1, 5, 9, 3, 8, 4, 1, 5, 8, 3, 2, 4, 9, 6, 7, 3, 9, 4, 8, 6, 7, 1, 2, 5, 6, 4, 2, 9, 3, 5, 7, 1, 8, 7, 3, 1, 4, 8, 6, 5, 9, 2, 5, 8, 9, 2, 7, 1, 6, 4, 3],
hard,[0, 0, 5, 3, 0, 0, 2, 0, 8, 3, 0, 6, 0, 7, 0, 0, 0, 5, 8, 9, 0, 2, 0, 0, 3, 0, 1, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 0, 1, 3, 9, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 5, 0, 4, 0, 0, 7, 0, 1, 9, 9, 0, 0, 0, 1, 0, 7, 0, 3, 2, 0, 1, 0, 0, 3, 6, 0, 0],[4, 1, 5, 3, 9, 6, 2, 7, 8, 3, 2, 6, 8, 7, 1, 4, 9, 5, 8, 9, 7, 2, 5, 4, 3, 6, 1, 1, 4, 3, 5, 6, 2, 9, 8, 7, 7, 8, 2, 1, 3, 9, 5, 4, 6, 6, 5, 9, 7, 4, 8, 1, 3, 2, 5, 3, 4, 6, 2, 7, 8, 1, 9, 9, 6, 8, 4, 1, 5, 7, 2, 3, 2, 7, 1, 9, 8, 3, 6, 5, 4],
medium,[0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 7, 0, 4, 0, 6, 3, 2, 6, 0, 4, 2, 0, 5, 0, 9, 0, 0, 0, 9, 5, 0, 0, 0, 0, 7, 0, 0, 0, 3, 7, 1, 0, 0, 0, 7, 0, 0, 0, 0, 9, 2, 0, 0, 0, 9, 0, 7, 0, 3, 8, 0, 1, 8, 7, 1, 0, 9, 0, 3, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0],[9, 8, 2, 6, 3, 7, 5, 1, 4, 1, 5, 7, 9, 4, 8, 6, 3, 2, 6, 3, 4, 2, 1, 5, 7, 9, 8, 3, 6, 9, 5, 2, 4, 1, 8, 7, 2, 4, 8, 3, 7, 1, 9, 5, 6, 7, 1, 5, 8, 6, 9, 2, 4, 3, 4, 9, 6, 7, 5, 3, 8, 2, 1, 8, 7, 1, 4, 9, 2, 3, 6, 5, 5, 2, 3, 1, 8, 6, 4, 7, 9],
medium,[6, 0, 0, 5, 4, 0, 0, 8, 0, 9, 8, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 2, 8, 9, 5, 0, 0, 4, 0, 0, 0, 6, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 3, 0, 4, 0, 5, 0, 0, 2, 0, 0, 0, 8, 0, 0, 9, 8, 3, 2, 0, 0, 0, 0, 2, 0, 9, 0, 0, 0, 7, 3, 0, 4, 0, 0, 5, 7, 0, 0, 1],[6, 1, 2, 5, 4, 3, 7, 8, 9, 9, 8, 5, 1, 7, 6, 4, 3, 2, 7, 3, 4, 2, 8, 9, 5, 1, 6, 4, 9, 8, 3, 6, 5, 1, 2, 7, 2, 6, 1, 7, 9, 8, 3, 5, 4, 3, 5, 7, 4, 2, 1, 9, 6, 8, 1, 7, 9, 8, 3, 2, 6, 4, 5, 5, 2, 6, 9, 1, 4, 8, 7, 3, 8, 4, 3, 6, 5, 7, 2, 9, 1],
medium,[8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 1, 0, 7, 0, 0, 9, 0, 6, 0, 2, 0, 8, 0, 0, 0, 0, 0, 7, 0, 8, 6, 0, 2, 5, 4, 9, 0, 7, 2, 1, 0, 8, 6, 2, 8, 0, 5, 3, 0, 7, 0, 0, 0, 0, 0, 6, 0, 2, 0, 5, 0, 6, 0, 0, 8, 0, 9, 1, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 7],[8, 7, 9, 3, 4, 5, 6, 1, 2, 5, 2, 4, 1, 6, 7, 8, 3, 9, 3, 6, 1, 2, 9, 8, 5, 7, 4, 1, 3, 7, 9, 8, 6, 4, 2, 5, 4, 9, 5, 7, 2, 1, 3, 8, 6, 2, 8, 6, 5, 3, 4, 7, 9, 1, 7, 4, 3, 6, 1, 2, 9, 5, 8, 6, 5, 2, 8, 7, 9, 1, 4, 3, 9, 1, 8, 4, 5, 3, 2, 6, 7],
medium,[0, 0, 1, 0, 9, 6, 7, 0, 0, 0, 4, 0, 2, 0, 0, 0, 1, 9, 0, 3, 0, 7, 0, 0, 0, 0, 8, 0, 9, 0, 3, 7, 0, 2, 0, 0, 3, 6, 0, 1, 0, 9, 0, 5, 7, 0, 0, 7, 0, 6, 8, 0, 9, 0, 5, 0, 0, 0, 0, 4, 0, 7, 0, 9, 7, 0, 0, 0, 2, 0, 8, 0, 0, 0, 6, 9, 5, 0, 1, 0, 0],[8, 2, 1, 5, 9, 6, 7, 4, 3, 7, 4, 5, 2, 8, 3, 6, 1, 9, 6, 3, 9, 7, 4, 1, 5, 2, 8, 1, 9, 8, 3, 7, 5, 2, 6, 4, 3, 6, 4, 1, 2, 9, 8, 5, 7, 2, 5, 7, 4, 6, 8, 3, 9, 1, 5, 1, 2, 8, 3, 4, 9, 7, 6, 9, 7, 3, 6, 1, 2, 4, 8, 5, 4, 8, 6, 9, 5, 7, 1, 3, 2],
hard,[0, 0, 0, 8, 2, 7, 4, 0, 0, 1, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 1, 5, 9, 0, 2, 3, 6, 0, 0, 3, 2, 4, 0, 8, 9, 5, 0, 0, 9, 4, 3, 0, 1, 8, 2, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 5, 0, 0, 1, 7, 3, 4, 0, 0, 0],[3, 5, 6, 8, 2, 7, 4, 1, 9, 1, 8, 9, 5, 4, 3, 6, 7, 2, 2, 4, 7, 6, 1, 9, 5, 8, 3, 8, 1, 5, 9, 7, 2, 3, 6, 4, 7, 3, 2, 4, 6, 8, 9, 5, 1, 6, 9, 4, 3, 5, 1, 8, 2, 7, 4, 7, 8, 2, 9, 5, 1, 3, 6, 9, 2, 3, 1, 8, 6, 7, 4, 5, 5, 6, 1, 7, 3, 4, 2, 9, 8],
hard,[1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 2, 0, 0, 0, 1, 3, 0, 4, 0, 1, 9, 0, 0, 7, 2, 0, 5, 0, 0, 0, 2, 0, 0, 0, 6, 2, 9, 7, 0, 3, 5, 4, 1, 0, 0, 0, 6, 0, 0, 0, 3, 0, 8, 6, 0, 0, 3, 9, 0, 2, 0, 5, 9, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5],[1, 8, 2, 3, 4, 7, 9, 5, 6, 9, 7, 5, 2, 6, 8, 4, 1, 3, 3, 4, 6, 1, 9, 5, 8, 7, 2, 4, 5, 3, 9, 1, 2, 7, 6, 8, 6, 2, 9, 7, 8, 3, 5, 4, 1, 7, 1, 8, 6, 5, 4, 2, 3, 9, 8, 6, 7, 5, 3, 9, 1, 2, 4, 5, 9, 1, 4, 2, 6, 3, 8, 7, 2, 3, 4, 8, 7, 1, 6, 9, 5],
hard,[0, 5, 9, 0, 1, 7, 6, 0, 0, 0, 0, 1, 3, 0, 0, 9, 0, 0, 0, 3, 8, 5, 0, 4, 1, 7, 0, 0, 1, 5, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 4, 5, 0, 0, 6, 7, 2, 0, 1, 8, 4, 0, 0, 0, 3, 0, 0, 8, 7, 0, 0, 0, 0, 2, 7, 4, 0, 5, 6, 0],[2, 5, 9, 8, 1, 7, 6, 3, 4, 4, 7, 1, 3, 2, 6, 9, 8, 5, 6, 3, 8, 5, 9, 4, 1, 7, 2, 7, 1, 5, 4, 8, 2, 3, 9, 6, 3, 9, 4, 6, 7, 5, 2, 1, 8, 8, 2, 6, 1, 3, 9, 4, 5, 7, 9, 6, 7, 2, 5, 1, 8, 4, 3, 5, 4, 3, 9, 6, 8, 7, 2, 1, 1, 8, 2, 7, 4, 3, 5, 6, 9],
medium,[0, 0, 5, 8, 0, 2, 0, 0, 1, 2, 0, 9, 0, 5, 6, 7, 0, 0, 0, 0, 0, 7, 0, 3, 0, 0, 9, 4, 0, 0, 0, 0, 0, 2, 5, 3, 0, 0, 3, 2, 0, 5, 9, 0, 0, 5, 2, 6, 0, 0, 0, 0, 0, 7, 1, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 4, 3, 6, 0, 8, 0, 2, 3, 0, 0, 4, 0, 8, 6, 0, 0],[7, 3, 5, 8, 9, 2, 4, 6, 1, 2, 4, 9, 1, 5, 6, 7, 3, 8, 6, 8, 1, 7, 4, 3, 5, 2, 9, 4, 9, 7, 6, 8, 1, 2, 5, 3, 8, 1, 3, 2, 7, 5, 9, 4, 6, 5, 2, 6, 9, 3, 4, 1, 8, 7, 1, 6, 8, 5, 2, 9, 3, 7, 4, 9, 5, 4, 3, 6, 7, 8, 1, 2, 3, 7, 2, 4, 1, 8, 6, 9, 5],
easy,[3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 5, 0, 6, 4, 9, 0, 1, 2, 1, 4, 0, 8, 0, 0, 2, 0, 5, 8, 6, 0, 9, 0, 2, 0, 7, 1, 5, 0, 7, 0, 0, 4, 0, 9, 3, 2, 7, 0, 3, 8, 6, 0, 5, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8],[3, 9, 2, 5, 1, 8, 7, 4, 6, 6, 1, 4, 2, 7, 3, 5, 8, 9, 7, 5, 8, 6, 4, 9, 3, 1, 2, 1, 4, 9, 8, 3, 7, 2, 6, 5, 8, 6, 3, 9, 5, 2, 4, 7, 1, 5, 2, 7, 1, 6, 4, 8, 9, 3, 2, 7, 1, 3, 8, 6, 9, 5, 4, 9, 8, 6, 4, 2, 5, 1, 3, 7, 4, 3, 5, 7, 9, 1, 6, 2, 8],
medium,[0, 0, 0, 0, 7, 0, 9, 0, 0, 5, 0, 0, 1, 0, 0, 2, 7, 0, 7, 0, 4, 0, 5, 3, 6, 8, 1, 0, 0, 0, 0, 0, 9, 0, 0, 2, 0, 5, 6, 0, 2, 0, 7, 3, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 4, 7, 5, 3, 9, 0, 1, 0, 6, 0, 1, 3, 0, 0, 2, 0, 0, 5, 0, 0, 8, 0, 1, 0, 0, 0, 0],[3, 8, 1, 2, 7, 6, 9, 5, 4, 5, 6, 9, 1, 8, 4, 2, 7, 3, 7, 2, 4, 9, 5, 3, 6, 8, 1, 1, 4, 7, 8, 3, 9, 5, 6, 2, 9, 5, 6, 4, 2, 1, 7, 3, 8, 8, 3, 2, 5, 6, 7, 4, 1, 9, 4, 7, 5, 3, 9, 8, 1, 2, 6, 6, 1, 3, 7, 4, 2, 8, 9, 5, 2, 9, 8, 6, 1, 5, 3, 4, 7],
medium,[0, 0, 3, 0, 0, 6, 1, 0, 5, 4, 9, 2, 5, 0, 1, 0, 0, 0, 1, 0, 6, 0, 8, 0, 0, 0, 2, 0, 6, 9, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 5, 4, 0, 5, 0, 0, 0, 3, 0, 2, 0, 4, 0, 0, 0, 1, 0, 7, 9, 5, 8, 9, 0, 8, 6, 0, 0, 3, 0, 0],[7, 8, 3, 2, 4, 6, 1, 9, 5, 4, 9, 2, 5, 7, 1, 8, 3, 6, 1, 5, 6, 3, 8, 9, 4, 7, 2, 2, 6, 9, 4, 1, 5, 7, 8, 3, 8, 4, 5, 7, 9, 3, 6, 2, 1, 3, 1, 7, 8, 6, 2, 5, 4, 9, 5, 7, 1, 9, 3, 8, 2, 6, 4, 6, 3, 4, 1, 2, 7, 9, 5, 8, 9, 2, 8, 6, 5, 4, 3, 1, 7],
medium,[0, 0, 7, 8, 9, 0, 0, 0, 2, 0, 8, 0, 2, 5, 0, 0, 4, 0, 0, 0, 2, 4, 3, 1, 0, 6, 0, 4, 0, 0, 6, 7, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 7, 0, 0, 0, 8, 0, 4, 2, 0, 0, 5, 0, 3, 0, 9, 1, 5, 4, 0, 0, 0, 1, 0, 0, 6, 8, 0, 3, 0, 7, 0, 0, 0, 2, 4, 8, 0, 0],[1, 4, 7, 8, 9, 6, 3, 5, 2, 6, 8, 3, 2, 5, 7, 9, 4, 1, 5, 9, 2, 4, 3, 1, 7, 6, 8, 4, 2, 5, 6, 7, 9, 1, 8, 3, 9, 6, 1, 5, 8, 3, 2, 7, 4, 3, 7, 8, 1, 4, 2, 6, 9, 5, 8, 3, 6, 9, 1, 5, 4, 2, 7, 2, 1, 4, 7, 6, 8, 5, 3, 9, 7, 5, 9, 3, 2, 4, 8, 1, 6],
medium,[0, 5, 0, 0, 0, 0, 2, 1, 0, 0, 3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 9, 0, 6, 4, 0, 8, 0, 5, 1, 0, 7, 0, 1, 0, 5, 0, 6, 0, 5, 1, 0, 2, 0, 7, 4, 0, 3, 3, 0, 0, 0, 7, 0, 5, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 6, 5, 0, 0, 0, 0, 7, 0],[6, 5, 9, 3, 8, 4, 2, 1, 7, 8, 3, 1, 7, 2, 6, 9, 4, 5, 7, 4, 2, 5, 1, 9, 3, 8, 6, 9, 2, 6, 4, 3, 8, 7, 5, 1, 4, 7, 3, 1, 9, 5, 8, 6, 2, 5, 1, 8, 2, 6, 7, 4, 9, 3, 3, 8, 4, 6, 7, 1, 5, 2, 9, 1, 9, 7, 8, 5, 2, 6, 3, 4, 2, 6, 5, 9, 4, 3, 1, 7, 8],
medium,[0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 5, 0, 0, 1, 2, 4, 3, 0, 2, 1, 0, 4, 3, 5, 7, 0, 9, 0, 0, 0, 5, 2, 0, 0, 9, 0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 7, 1, 0, 0, 0, 3, 0, 5, 2, 8, 6, 0, 4, 1, 0, 2, 1, 3, 5, 0, 0, 7, 8, 0, 0, 0, 0, 0, 0, 5, 0, 0],[9, 3, 4, 7, 6, 8, 2, 1, 5, 8, 5, 7, 9, 1, 2, 4, 3, 6, 2, 1, 6, 4, 3, 5, 7, 8, 9, 1, 6, 3, 5, 2, 4, 8, 9, 7, 7, 8, 2, 6, 9, 3, 1, 5, 4, 5, 4, 9, 8, 7, 1, 3, 6, 2, 3, 7, 5, 2, 8, 6, 9, 4, 1, 4, 2, 1, 3, 5, 9, 6, 7, 8, 6, 9, 8, 1, 4, 7, 5, 2, 3],
medium,[0, 6, 0, 0, 0, 0, 8, 7, 4, 0, 0, 0, 0, 4, 9, 0, 0, 2, 0, 7, 0, 0, 0, 0, 0, 9, 0, 8, 2, 4, 5, 0, 6, 0, 1, 0, 6, 9, 0, 1, 0, 4, 0, 5, 8, 0, 1, 0, 2, 0, 7, 9, 4, 6, 0, 4, 0, 0, 0, 0, 0, 8, 0, 5, 0, 0, 4, 1, 0, 0, 0, 0, 2, 8, 6, 0, 0, 0, 0, 3, 0],[9, 6, 2, 3, 5, 1, 8, 7, 4, 1, 5, 8, 7, 4, 9, 3, 6, 2, 4, 7, 3, 8, 6, 2, 1, 9, 5, 8, 2, 4, 5, 9, 6, 7, 1, 3, 6, 9, 7, 1, 3, 4, 2, 5, 8, 3, 1, 5, 2, 8, 7, 9, 4, 6, 7, 4, 1, 6, 2, 3, 5, 8, 9, 5, 3, 9, 4, 1, 8, 6, 2, 7, 2, 8, 6, 9, 7, 5, 4, 3, 1],
hard,[0, 9, 0, 8, 0, 2, 6, 0, 0, 7, 0, 0, 0, 0, 6, 9, 8, 0, 8, 0, 3, 0, 0, 0, 1, 0, 2, 0, 8, 9, 6, 0, 0, 7, 0, 0, 0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 5, 0, 0, 1, 4, 6, 0, 6, 0, 7, 0, 0, 0, 2, 0, 4, 0, 1, 8, 3, 0, 0, 0, 0, 6, 0, 0, 2, 1, 0, 4, 0, 3, 0],[5, 9, 4, 8, 1, 2, 6, 7, 3, 7, 2, 1, 4, 3, 6, 9, 8, 5, 8, 6, 3, 7, 5, 9, 1, 4, 2, 2, 8, 9, 6, 4, 3, 7, 5, 1, 1, 4, 6, 5, 7, 8, 3, 2, 9, 3, 7, 5, 2, 9, 1, 4, 6, 8, 6, 3, 7, 9, 8, 5, 2, 1, 4, 4, 1, 8, 3, 2, 7, 5, 9, 6, 9, 5, 2, 1, 6, 4, 8, 3, 7],
hard,[5, 8, 9, 3, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 7, 5, 2, 9, 3, 0, 8, 9, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 7, 9, 6, 0, 6, 5, 8, 7, 3, 0, 1, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 8, 0, 0, 9, 4, 6, 3],[5, 8, 9, 3, 6, 4, 1, 7, 2, 7, 3, 2, 9, 1, 8, 6, 4, 5, 6, 1, 4, 7, 5, 2, 9, 3, 8, 8, 9, 6, 4, 3, 7, 5, 2, 1, 2, 5, 7, 1, 9, 6, 3, 8, 4, 3, 4, 1, 2, 8, 5, 7, 9, 6, 4, 6, 5, 8, 7, 3, 2, 1, 9, 9, 2, 3, 6, 4, 1, 8, 5, 7, 1, 7, 8, 5, 2, 9, 4, 6, 3],
hard,[0, 8, 1, 0, 0, 9, 3, 0, 0, 0, 6, 5, 0, 0, 0, 1, 0, 8, 0, 4, 0, 0, 1, 5, 2, 0, 0, 3, 7, 0, 0, 0, 0, 4, 1, 0, 4, 0, 6, 0, 0, 0, 7, 0, 5, 0, 1, 9, 0, 0, 0, 0, 3, 6, 0, 0, 7, 3, 6, 0, 0, 2, 0, 8, 0, 4, 0, 0, 0, 6, 7, 0, 0, 0, 2, 7, 0, 0, 5, 8, 0],[2, 8, 1, 6, 4, 9, 3, 5, 7, 9, 6, 5, 2, 3, 7, 1, 4, 8, 7, 4, 3, 8, 1, 5, 2, 6, 9, 3, 7, 8, 9, 5, 6, 4, 1, 2, 4, 2, 6, 1, 8, 3, 7, 9, 5, 5, 1, 9, 4, 7, 2, 8, 3, 6, 1, 5, 7, 3, 6, 8, 9, 2, 4, 8, 9, 4, 5, 2, 1, 6, 7, 3, 6, 3, 2, 7, 9, 4, 5, 8, 1],
easy,[0, 0, 8, 0, 0, 0, 9, 0, 0, 5, 1, 9, 0, 0, 0, 6, 0, 0, 0, 4, 0, 8, 1, 0, 0, 0, 0, 0, 0, 7, 6, 0, 3, 4, 5, 1, 0, 5, 3, 1, 0, 7, 8, 6, 0, 8, 6, 1, 9, 0, 4, 7, 0, 0, 0, 0, 0, 0, 7, 1, 0, 3, 0, 0, 0, 2, 0, 0, 0, 5, 4, 6, 0, 0, 5, 0, 0, 0, 1, 0, 0],[7, 3, 8, 4, 6, 5, 9, 1, 2, 5, 1, 9, 7, 3, 2, 6, 8, 4, 2, 4, 6, 8, 1, 9, 3, 7, 5, 9, 2, 7, 6, 8, 3, 4, 5, 1, 4, 5, 3, 1, 2, 7, 8, 6, 9, 8, 6, 1, 9, 5, 4, 7, 2, 3, 6, 9, 4, 5, 7, 1, 2, 3, 8, 1, 7, 2, 3, 9, 8, 5, 4, 6, 3, 8, 5, 2, 4, 6, 1, 9, 7],
easy,[6, 1, 0, 0, 7, 0, 0, 0, 2, 0, 0, 3, 1, 8, 0, 0, 6, 0, 2, 0, 0, 9, 0, 6, 7, 0, 0, 0, 0, 2, 0, 0, 0, 8, 3, 0, 0, 0, 0, 8, 2, 7, 0, 0, 0, 0, 4, 7, 0, 0, 0, 1, 0, 0, 0, 0, 9, 5, 0, 4, 0, 0, 8, 0, 7, 0, 0, 9, 1, 5, 0, 0, 4, 0, 0, 0, 3, 0, 0, 9, 1],[6, 1, 4, 3, 7, 5, 9, 8, 2, 7, 9, 3, 1, 8, 2, 4, 6, 5, 2, 8, 5, 9, 4, 6, 7, 1, 3, 5, 6, 2, 4, 1, 9, 8, 3, 7, 9, 3, 1, 8, 2, 7, 6, 5, 4, 8, 4, 7, 6, 5, 3, 1, 2, 9, 1, 2, 9, 5, 6, 4, 3, 7, 8, 3, 7, 8, 2, 9, 1, 5, 4, 6, 4, 5, 6, 7, 3, 8, 2, 9, 1],
hard,[0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 4, 6, 0, 0, 3, 9, 7, 0, 8, 0, 0, 0, 7, 0, 3, 0, 5, 0, 0, 0, 9, 3, 4, 0, 6, 0, 0, 0, 8, 0, 5, 0, 4, 0, 0, 0, 3, 0, 6, 8, 1, 0, 0, 0, 2, 0, 4, 0, 1, 0, 0, 0, 3, 0, 5, 3, 2, 0, 0, 8, 1, 4, 0, 0, 0, 0, 0, 0, 7, 0, 0],[3, 1, 7, 4, 9, 5, 2, 8, 6, 5, 4, 6, 8, 2, 3, 9, 7, 1, 8, 9, 2, 1, 7, 6, 3, 4, 5, 7, 2, 5, 9, 3, 4, 1, 6, 8, 1, 6, 8, 7, 5, 2, 4, 3, 9, 4, 3, 9, 6, 8, 1, 5, 2, 7, 2, 7, 4, 5, 1, 8, 6, 9, 3, 9, 5, 3, 2, 6, 7, 8, 1, 4, 6, 8, 1, 3, 4, 9, 7, 5, 2],
medium,[0, 0, 4, 1, 2, 0, 0, 7, 6, 0, 2, 3, 0, 6, 5, 0, 0, 1, 0, 7, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 9, 0, 2, 1, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 7, 0, 4, 2, 8, 0, 7, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 1, 0, 4, 0, 0, 3, 1, 0, 9, 5, 0, 2, 1, 0, 0, 8, 9, 7, 0, 0],[5, 9, 4, 1, 2, 8, 3, 7, 6, 8, 2, 3, 7, 6, 5, 4, 9, 1, 6, 7, 1, 4, 9, 3, 2, 8, 5, 7, 6, 8, 9, 5, 2, 1, 3, 4, 9, 3, 5, 6, 4, 1, 8, 2, 7, 1, 4, 2, 8, 3, 7, 5, 6, 9, 3, 5, 9, 2, 7, 4, 6, 1, 8, 4, 8, 7, 3, 1, 6, 9, 5, 2, 2, 1, 6, 5, 8, 9, 7, 4, 3],
easy,[5, 9, 2, 0, 0, 1, 4, 0, 0, 0, 0, 3, 7, 5, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 7, 4, 6, 0, 0, 0, 0, 6, 1, 0, 9, 0, 8, 0, 3, 4, 0, 0, 0, 0, 1, 7, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 3, 4, 1, 0, 0, 0, 0, 9, 8, 0, 0, 5, 4, 2],[5, 9, 2, 6, 8, 1, 4, 7, 3, 8, 4, 3, 7, 5, 9, 6, 2, 1, 7, 6, 1, 2, 4, 3, 9, 8, 5, 3, 8, 7, 4, 6, 5, 2, 1, 9, 6, 1, 5, 9, 2, 8, 7, 3, 4, 9, 2, 4, 3, 1, 7, 8, 5, 6, 4, 5, 8, 1, 9, 2, 3, 6, 7, 2, 7, 6, 5, 3, 4, 1, 9, 8, 1, 3, 9, 8, 7, 6, 5, 4, 2],
medium,[0, 0, 9, 5, 0, 4, 7, 6, 0, 0, 0, 8, 3, 0, 0, 9, 0, 1, 3, 0, 5, 0, 9, 0, 0, 0, 0, 9, 3, 0, 0, 0, 0, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 7, 0, 8, 0, 5, 2, 0, 1, 0, 0, 6, 4, 0, 0, 0, 4, 7, 9, 0, 5, 6, 0, 0],[1, 2, 9, 5, 8, 4, 7, 6, 3, 4, 6, 8, 3, 2, 7, 9, 5, 1, 3, 7, 5, 6, 9, 1, 2, 4, 8, 9, 3, 4, 7, 5, 8, 1, 2, 6, 7, 8, 2, 1, 6, 3, 5, 9, 4, 5, 1, 6, 2, 4, 9, 3, 8, 7, 6, 9, 3, 4, 7, 2, 8, 1, 5, 2, 5, 1, 8, 3, 6, 4, 7, 9, 8, 4, 7, 9, 1, 5, 6, 3, 2],
easy,[3, 2, 0, 0, 9, 0, 7, 0, 0, 7, 5, 0, 4, 0, 2, 9, 6, 3, 0, 1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 7, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 1, 0, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 0, 5, 6, 7, 9, 0, 8, 0, 1, 2, 0, 0, 1, 0, 7, 0, 0, 9, 6],[3, 2, 4, 8, 9, 6, 7, 5, 1, 7, 5, 8, 4, 1, 2, 9, 6, 3, 6, 1, 9, 7, 3, 5, 4, 2, 8, 4, 3, 5, 2, 6, 7, 1, 8, 9, 1, 9, 2, 3, 8, 4, 6, 7, 5, 8, 7, 6, 1, 5, 9, 2, 3, 4, 9, 8, 3, 6, 2, 1, 5, 4, 7, 5, 6, 7, 9, 4, 8, 3, 1, 2, 2, 4, 1, 5, 7, 3, 8, 9, 6],
hard,[0, 0, 1, 0, 0, 2, 9, 0, 0, 0, 2, 0, 7, 0, 3, 0, 0, 0, 0, 5, 0, 6, 8, 0, 0, 7, 0, 6, 0, 0, 0, 2, 9, 1, 4, 0, 0, 3, 7, 0, 1, 0, 2, 8, 0, 0, 4, 2, 8, 6, 0, 0, 0, 9, 0, 6, 0, 0, 4, 5, 0, 9, 0, 0, 0, 0, 2, 0, 8, 0, 1, 0, 0, 0, 3, 9, 0, 0, 8, 0, 0],[3, 7, 1, 4, 5, 2, 9, 6, 8, 8, 2, 6, 7, 9, 3, 4, 5, 1, 4, 5, 9, 6, 8, 1, 3, 7, 2, 6, 8, 5, 3, 2, 9, 1, 4, 7, 9, 3, 7, 5, 1, 4, 2, 8, 6, 1, 4, 2, 8, 6, 7, 5, 3, 9, 2, 6, 8, 1, 4, 5, 7, 9, 3, 7, 9, 4, 2, 3, 8, 6, 1, 5, 5, 1, 3, 9, 7, 6, 8, 2, 4],
hard,[8, 0, 0, 0, 9, 0, 5, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 7, 8, 0, 0, 9, 6, 4, 0, 0, 4, 9, 8, 3, 0, 0, 0, 3, 2, 6, 0, 0, 0, 1, 9, 8, 0, 0, 0, 2, 6, 1, 7, 0, 0, 9, 6, 3, 0, 0, 8, 4, 0, 0, 0, 7, 0, 6, 0, 0, 0, 0, 0, 1, 0, 8, 0, 3, 0, 0, 0, 9],[8, 4, 1, 7, 9, 6, 5, 3, 2, 6, 9, 5, 3, 4, 2, 8, 1, 7, 2, 3, 7, 8, 1, 5, 9, 6, 4, 7, 1, 4, 9, 8, 3, 2, 5, 6, 3, 2, 6, 5, 7, 4, 1, 9, 8, 5, 8, 9, 2, 6, 1, 7, 4, 3, 9, 6, 3, 1, 2, 8, 4, 7, 5, 4, 7, 2, 6, 5, 9, 3, 8, 1, 1, 5, 8, 4, 3, 7, 6, 2, 9],
easy,[0, 0, 0, 5, 0, 2, 0, 0, 4, 0, 4, 0, 0, 1, 0, 5, 0, 2, 0, 0, 5, 4, 0, 9, 8, 0, 0, 9, 7, 0, 0, 5, 1, 0, 2, 0, 3, 8, 0, 0, 0, 0, 0, 7, 5, 0, 5, 0, 8, 4, 0, 0, 1, 3, 0, 0, 7, 2, 0, 4, 3, 0, 0, 4, 0, 9, 0, 7, 0, 0, 5, 0, 8, 0, 0, 1, 0, 5, 0, 0, 0],[7, 9, 3, 5, 8, 2, 1, 6, 4, 6, 4, 8, 7, 1, 3, 5, 9, 2, 1, 2, 5, 4, 6, 9, 8, 3, 7, 9, 7, 4, 3, 5, 1, 6, 2, 8, 3, 8, 1, 9, 2, 6, 4, 7, 5, 2, 5, 6, 8, 4, 7, 9, 1, 3, 5, 1, 7, 2, 9, 4, 3, 8, 6, 4, 3, 9, 6, 7, 8, 2, 5, 1, 8, 6, 2, 1, 3, 5, 7, 4, 9],
easy,[0, 8, 0, 3, 0, 0, 9, 2, 0, 0, 7, 0, 0, 0, 8, 0, 0, 3, 0, 0, 9, 0, 0, 5, 8, 0, 0, 8, 0, 0, 1, 3, 0, 6, 0, 0, 6, 9, 0, 8, 5, 4, 0, 3, 2, 0, 0, 3, 0, 9, 7, 0, 0, 8, 0, 0, 5, 4, 0, 0, 3, 0, 0, 9, 0, 0, 5, 0, 0, 0, 1, 0, 0, 3, 6, 0, 0, 1, 0, 4, 0],[1, 8, 4, 3, 7, 6, 9, 2, 5, 5, 7, 2, 9, 1, 8, 4, 6, 3, 3, 6, 9, 2, 4, 5, 8, 7, 1, 8, 5, 7, 1, 3, 2, 6, 9, 4, 6, 9, 1, 8, 5, 4, 7, 3, 2, 4, 2, 3, 6, 9, 7, 1, 5, 8, 7, 1, 5, 4, 2, 9, 3, 8, 6, 9, 4, 8, 5, 6, 3, 2, 1, 7, 2, 3, 6, 7, 8, 1, 5, 4, 9],
medium,[8, 0, 3, 0, 0, 1, 0, 7, 0, 0, 0, 0, 0, 0, 9, 8, 1, 4, 1, 0, 6, 8, 7, 0, 0, 0, 9, 0, 0, 0, 0, 0, 4, 0, 2, 8, 0, 1, 8, 0, 0, 0, 9, 4, 0, 2, 5, 0, 6, 0, 0, 0, 0, 0, 7, 0, 0, 0, 8, 6, 5, 0, 2, 4, 6, 2, 9, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 4, 0, 1],[8, 9, 3, 5, 4, 1, 2, 7, 6, 5, 2, 7, 3, 6, 9, 8, 1, 4, 1, 4, 6, 8, 7, 2, 3, 5, 9, 3, 7, 9, 1, 5, 4, 6, 2, 8, 6, 1, 8, 7, 2, 3, 9, 4, 5, 2, 5, 4, 6, 9, 8, 1, 3, 7, 7, 3, 1, 4, 8, 6, 5, 9, 2, 4, 6, 2, 9, 1, 5, 7, 8, 3, 9, 8, 5, 2, 3, 7, 4, 6, 1],
medium,[6, 5, 9, 0, 0, 0, 0, 0, 0, 4, 1, 0, 6, 0, 8, 2, 9, 0, 0, 8, 0, 9, 0, 3, 0, 0, 0, 0, 0, 2, 8, 9, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 6, 4, 0, 0, 0, 0, 0, 5, 0, 2, 0, 8, 0, 0, 2, 8, 3, 0, 7, 0, 1, 4, 0, 0, 0, 0, 0, 0, 5, 2, 6],[6, 5, 9, 7, 2, 1, 3, 4, 8, 4, 1, 3, 6, 5, 8, 2, 9, 7, 2, 8, 7, 9, 4, 3, 1, 6, 5, 3, 4, 2, 8, 9, 5, 6, 7, 1, 1, 7, 6, 2, 3, 4, 8, 5, 9, 8, 9, 5, 1, 7, 6, 4, 3, 2, 9, 6, 4, 5, 1, 2, 7, 8, 3, 5, 2, 8, 3, 6, 7, 9, 1, 4, 7, 3, 1, 4, 8, 9, 5, 2, 6],
easy,[0, 9, 0, 0, 0, 0, 0, 6, 1, 2, 1, 6, 7, 9, 8, 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 6, 4, 0, 6, 2, 0, 0, 4, 0, 0, 5, 8, 0, 5, 4, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 5, 2, 9, 4, 1, 6, 9, 6, 0, 0, 0, 0, 0, 7, 0],[4, 9, 7, 2, 3, 5, 8, 6, 1, 2, 1, 6, 7, 9, 8, 5, 3, 4, 3, 8, 5, 4, 6, 1, 2, 9, 7, 7, 3, 8, 1, 5, 2, 6, 4, 9, 6, 2, 9, 3, 4, 7, 1, 5, 8, 1, 5, 4, 9, 8, 6, 7, 2, 3, 5, 4, 1, 6, 7, 3, 9, 8, 2, 8, 7, 3, 5, 2, 9, 4, 1, 6, 9, 6, 2, 8, 1, 4, 3, 7, 5],
hard,[0, 3, 5, 9, 0, 0, 0, 7, 4, 0, 0, 8, 0, 5, 0, 0, 1, 0, 0, 0, 4, 8, 0, 2, 3, 0, 5, 8, 2, 1, 0, 0, 0, 0, 0, 9, 0, 0, 6, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 0, 6, 8, 7, 6, 0, 3, 7, 0, 1, 2, 0, 0, 0, 8, 0, 0, 3, 0, 1, 0, 0, 1, 5, 0, 0, 0, 8, 7, 4, 0],[2, 3, 5, 9, 1, 6, 8, 7, 4, 7, 6, 8, 3, 5, 4, 9, 1, 2, 9, 1, 4, 8, 7, 2, 3, 6, 5, 8, 2, 1, 4, 6, 7, 5, 3, 9, 3, 7, 6, 5, 8, 9, 4, 2, 1, 5, 4, 9, 1, 2, 3, 6, 8, 7, 6, 9, 3, 7, 4, 1, 2, 5, 8, 4, 8, 7, 2, 3, 5, 1, 9, 6, 1, 5, 2, 6, 9, 8, 7, 4, 3],
medium,[6, 0, 0, 0, 9, 0, 0, 5, 3, 0, 0, 5, 6, 0, 0, 1, 7, 0, 4, 0, 7, 0, 1, 0, 0, 0, 8, 1, 0, 8, 4, 0, 0, 7, 0, 2, 0, 2, 0, 0, 0, 0, 0, 3, 0, 5, 0, 3, 0, 0, 9, 8, 0, 1, 2, 0, 0, 0, 7, 0, 3, 0, 5, 0, 3, 9, 0, 0, 1, 6, 0, 0, 7, 5, 0, 0, 3, 0, 0, 0, 4],[6, 1, 2, 7, 9, 8, 4, 5, 3, 3, 8, 5, 6, 2, 4, 1, 7, 9, 4, 9, 7, 3, 1, 5, 2, 6, 8, 1, 6, 8, 4, 5, 3, 7, 9, 2, 9, 2, 4, 1, 8, 7, 5, 3, 6, 5, 7, 3, 2, 6, 9, 8, 4, 1, 2, 4, 1, 9, 7, 6, 3, 8, 5, 8, 3, 9, 5, 4, 1, 6, 2, 7, 7, 5, 6, 8, 3, 2, 9, 1, 4],
hard,[0, 0, 4, 0, 5, 0, 0, 0, 9, 0, 8, 0, 0, 0, 7, 1, 2, 0, 2, 7, 0, 8, 0, 0, 0, 0, 3, 0, 9, 6, 5, 7, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 4, 8, 9, 7, 0, 8, 0, 0, 0, 0, 9, 0, 5, 6, 0, 6, 7, 4, 0, 0, 0, 9, 0, 5, 0, 0, 0, 3, 0, 8, 0, 0],[6, 3, 4, 1, 5, 2, 7, 8, 9, 9, 8, 5, 3, 6, 7, 1, 2, 4, 2, 7, 1, 8, 9, 4, 5, 6, 3, 4, 9, 6, 5, 7, 1, 2, 3, 8, 7, 1, 8, 9, 2, 3, 6, 4, 5, 3, 5, 2, 6, 4, 8, 9, 7, 1, 8, 2, 3, 7, 1, 9, 4, 5, 6, 1, 6, 7, 4, 8, 5, 3, 9, 2, 5, 4, 9, 2, 3, 6, 8, 1, 7],
easy,[0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 5, 1, 2, 0, 8, 0, 0, 0, 4, 6, 8, 9, 0, 0, 0, 0, 4, 0, 0, 2, 5, 8, 3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 8, 2, 3, 7, 1, 0, 0, 5, 0, 0, 0, 0, 1, 9, 2, 5, 0, 0, 0, 1, 0, 3, 2, 9, 0, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0],[2, 9, 8, 5, 6, 3, 4, 7, 1, 7, 3, 5, 1, 2, 4, 8, 9, 6, 1, 4, 6, 8, 9, 7, 5, 2, 3, 4, 6, 7, 2, 5, 8, 3, 1, 9, 5, 1, 3, 9, 4, 6, 7, 8, 2, 9, 8, 2, 3, 7, 1, 6, 4, 5, 3, 7, 4, 6, 1, 9, 2, 5, 8, 8, 5, 1, 4, 3, 2, 9, 6, 7, 6, 2, 9, 7, 8, 5, 1, 3, 4],
hard,[0, 0, 0, 0, 0, 0, 7, 0, 4, 9, 0, 8, 1, 0, 0, 0, 2, 6, 6, 0, 0, 3, 7, 0, 1, 5, 0, 0, 0, 0, 0, 8, 3, 9, 0, 0, 1, 0, 9, 6, 0, 5, 8, 0, 2, 0, 0, 7, 9, 1, 0, 0, 0, 0, 0, 4, 6, 0, 3, 1, 0, 0, 8, 2, 9, 0, 0, 0, 7, 4, 0, 5, 3, 0, 5, 0, 0, 0, 0, 0, 0],[5, 1, 3, 2, 9, 6, 7, 8, 4, 9, 7, 8, 1, 5, 4, 3, 2, 6, 6, 2, 4, 3, 7, 8, 1, 5, 9, 4, 5, 2, 7, 8, 3, 9, 6, 1, 1, 3, 9, 6, 4, 5, 8, 7, 2, 8, 6, 7, 9, 1, 2, 5, 4, 3, 7, 4, 6, 5, 3, 1, 2, 9, 8, 2, 9, 1, 8, 6, 7, 4, 3, 5, 3, 8, 5, 4, 2, 9, 6, 1, 7],
hard,[9, 8, 0, 4, 6, 7, 0, 0, 3, 0, 0, 1, 0, 0, 9, 0, 0, 8, 2, 7, 4, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 4, 0, 0, 2, 0, 4, 0, 8, 0, 3, 0, 9, 0, 7, 0, 0, 6, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 2, 6, 6, 0, 0, 5, 0, 0, 8, 0, 0, 4, 0, 0, 7, 8, 6, 0, 5, 9],[9, 8, 5, 4, 6, 7, 2, 1, 3, 3, 6, 1, 2, 5, 9, 4, 7, 8, 2, 7, 4, 1, 3, 8, 9, 6, 5, 1, 3, 6, 9, 7, 4, 5, 8, 2, 5, 4, 2, 8, 1, 3, 6, 9, 7, 7, 9, 8, 6, 2, 5, 3, 4, 1, 8, 5, 9, 3, 4, 1, 7, 2, 6, 6, 1, 7, 5, 9, 2, 8, 3, 4, 4, 2, 3, 7, 8, 6, 1, 5, 9],
easy,[3, 0, 0, 0, 7, 0, 0, 0, 0, 7, 5, 1, 0, 8, 6, 0, 0, 4, 0, 8, 4, 0, 0, 3, 0, 0, 7, 0, 4, 0, 3, 6, 0, 0, 2, 0, 0, 0, 0, 1, 0, 7, 0, 0, 0, 0, 6, 0, 0, 4, 9, 0, 7, 0, 9, 0, 0, 4, 0, 0, 2, 6, 0, 6, 0, 0, 7, 9, 0, 4, 1, 3, 0, 0, 0, 0, 5, 0, 0, 0, 8],[3, 9, 6, 5, 7, 4, 1, 8, 2, 7, 5, 1, 2, 8, 6, 9, 3, 4, 2, 8, 4, 9, 1, 3, 6, 5, 7, 1, 4, 7, 3, 6, 5, 8, 2, 9, 8, 3, 9, 1, 2, 7, 5, 4, 6, 5, 6, 2, 8, 4, 9, 3, 7, 1, 9, 7, 8, 4, 3, 1, 2, 6, 5, 6, 2, 5, 7, 9, 8, 4, 1, 3, 4, 1, 3, 6, 5, 2, 7, 9, 8],
medium,[0, 0, 6, 0, 0, 0, 3, 8, 0, 0, 4, 3, 7, 0, 0, 2, 6, 0, 0, 2, 0, 0, 3, 4, 5, 0, 0, 0, 3, 0, 0, 9, 0, 0, 0, 2, 0, 0, 2, 0, 4, 0, 6, 0, 0, 8, 0, 0, 0, 7, 0, 0, 4, 0, 0, 0, 9, 1, 2, 0, 0, 5, 0, 0, 6, 1, 0, 0, 7, 4, 2, 0, 0, 5, 7, 0, 0, 0, 1, 0, 0],[5, 7, 6, 9, 1, 2, 3, 8, 4, 9, 4, 3, 7, 8, 5, 2, 6, 1, 1, 2, 8, 6, 3, 4, 5, 9, 7, 6, 3, 4, 5, 9, 1, 8, 7, 2, 7, 9, 2, 3, 4, 8, 6, 1, 5, 8, 1, 5, 2, 7, 6, 9, 4, 3, 4, 8, 9, 1, 2, 3, 7, 5, 6, 3, 6, 1, 8, 5, 7, 4, 2, 9, 2, 5, 7, 4, 6, 9, 1, 3, 8],
medium,[6, 7, 9, 0, 0, 8, 0, 0, 0, 0, 2, 1, 5, 6, 4, 9, 0, 7, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 4, 0, 3, 9, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 2, 7, 0, 9, 0, 0, 0, 0, 0, 7, 0, 1, 0, 0, 2, 0, 5, 9, 4, 3, 8, 7, 0, 0, 0, 0, 1, 0, 0, 5, 4, 3],[6, 7, 9, 2, 3, 8, 4, 5, 1, 8, 2, 1, 5, 6, 4, 9, 3, 7, 5, 3, 4, 7, 1, 9, 2, 6, 8, 7, 4, 2, 3, 9, 1, 6, 8, 5, 3, 9, 8, 4, 5, 6, 7, 1, 2, 1, 5, 6, 8, 2, 7, 3, 9, 4, 4, 8, 3, 6, 7, 5, 1, 2, 9, 2, 1, 5, 9, 4, 3, 8, 7, 6, 9, 6, 7, 1, 8, 2, 5, 4, 3],
hard,[0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 8, 9, 0, 0, 0, 1, 0, 6, 0, 1, 2, 0, 3, 0, 0, 9, 3, 0, 2, 7, 0, 0, 6, 8, 0, 0, 4, 9, 8, 5, 1, 0, 0, 8, 7, 0, 0, 3, 1, 0, 9, 2, 0, 0, 9, 0, 4, 8, 0, 2, 0, 2, 0, 0, 0, 6, 9, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0],[1, 9, 2, 4, 5, 3, 8, 7, 6, 3, 5, 7, 8, 9, 6, 2, 4, 1, 4, 6, 8, 1, 2, 7, 3, 5, 9, 9, 3, 1, 2, 7, 4, 5, 6, 8, 6, 2, 4, 9, 8, 5, 1, 3, 7, 8, 7, 5, 6, 3, 1, 4, 9, 2, 5, 1, 9, 7, 4, 8, 6, 2, 3, 2, 8, 3, 5, 6, 9, 7, 1, 4, 7, 4, 6, 3, 1, 2, 9, 8, 5],
hard,[6, 1, 0, 5, 0, 8, 9, 4, 0, 2, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 4, 0, 0, 6, 3, 5, 0, 8, 0, 0, 0, 0, 8, 0, 7, 0, 0, 0, 0, 8, 0, 4, 1, 2, 0, 0, 9, 8, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 4, 0, 3, 6, 9, 0, 4, 0, 2, 8],[6, 1, 3, 5, 7, 8, 9, 4, 2, 2, 4, 8, 3, 6, 9, 7, 1, 5, 9, 5, 7, 2, 4, 1, 8, 3, 6, 4, 7, 9, 6, 3, 5, 2, 8, 1, 1, 6, 2, 8, 9, 7, 4, 5, 3, 3, 8, 5, 4, 1, 2, 6, 7, 9, 8, 9, 4, 1, 2, 3, 5, 6, 7, 5, 2, 1, 7, 8, 6, 3, 9, 4, 7, 3, 6, 9, 5, 4, 1, 2, 8],
medium,[1, 9, 0, 4, 3, 0, 2, 8, 0, 0, 0, 0, 1, 2, 0, 0, 4, 7, 2, 0, 0, 0, 0, 6, 0, 3, 0, 4, 0, 1, 0, 0, 0, 9, 5, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 3, 5, 0, 0, 0, 6, 0, 2, 0, 4, 0, 2, 0, 0, 0, 0, 5, 3, 1, 0, 0, 5, 8, 0, 0, 0, 0, 8, 9, 0, 7, 4, 0, 2, 1],[1, 9, 7, 4, 3, 5, 2, 8, 6, 8, 6, 3, 1, 2, 9, 5, 4, 7, 2, 5, 4, 7, 8, 6, 1, 3, 9, 4, 7, 1, 3, 6, 2, 9, 5, 8, 6, 2, 8, 5, 9, 1, 4, 7, 3, 9, 3, 5, 8, 4, 7, 6, 1, 2, 7, 4, 6, 2, 1, 3, 8, 9, 5, 3, 1, 2, 9, 5, 8, 7, 6, 4, 5, 8, 9, 6, 7, 4, 3, 2, 1],
hard,[0, 0, 0, 9, 6, 5, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 1, 8, 3, 0, 5, 0, 0, 3, 2, 4, 9, 7, 0, 8, 0, 0, 8, 0, 0, 0, 9, 0, 0, 2, 0, 7, 8, 3, 1, 4, 0, 0, 8, 0, 2, 3, 9, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 7, 0, 1, 8, 2, 0, 0, 0],[3, 8, 1, 9, 6, 5, 2, 4, 7, 6, 5, 4, 7, 2, 3, 1, 8, 9, 7, 2, 9, 4, 1, 8, 3, 6, 5, 5, 6, 3, 2, 4, 9, 7, 1, 8, 4, 1, 8, 6, 5, 7, 9, 2, 3, 2, 9, 7, 8, 3, 1, 4, 5, 6, 8, 4, 2, 3, 9, 6, 5, 7, 1, 1, 3, 6, 5, 7, 4, 8, 9, 2, 9, 7, 5, 1, 8, 2, 6, 3, 4],
medium,[0, 0, 0, 0, 3, 9, 4, 8, 0, 1, 0, 8, 4, 0, 0, 0, 0, 5, 0, 0, 0, 1, 5, 0, 9, 0, 7, 0, 0, 0, 9, 4, 6, 8, 0, 0, 0, 1, 0, 0, 8, 0, 0, 5, 0, 0, 0, 4, 5, 1, 2, 0, 0, 0, 4, 0, 3, 0, 7, 5, 0, 0, 0, 7, 0, 0, 0, 0, 4, 5, 0, 6, 0, 6, 5, 3, 2, 0, 0, 0, 0],[5, 7, 6, 2, 3, 9, 4, 8, 1, 1, 9, 8, 4, 6, 7, 3, 2, 5, 3, 4, 2, 1, 5, 8, 9, 6, 7, 2, 5, 7, 9, 4, 6, 8, 1, 3, 6, 1, 9, 7, 8, 3, 2, 5, 4, 8, 3, 4, 5, 1, 2, 6, 7, 9, 4, 8, 3, 6, 7, 5, 1, 9, 2, 7, 2, 1, 8, 9, 4, 5, 3, 6, 9, 6, 5, 3, 2, 1, 7, 4, 8],
hard,[1, 0, 0, 0, 8, 9, 5, 0, 6, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 9, 0, 5, 6, 0, 4, 3, 0, 0, 4, 0, 0, 0, 6, 0, 0, 6, 1, 5, 3, 0, 8, 4, 7, 2, 0, 0, 8, 0, 0, 0, 3, 0, 0, 9, 6, 0, 8, 4, 0, 2, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 3, 5, 6, 0, 0, 0, 8],[1, 3, 7, 4, 8, 9, 5, 2, 6, 5, 4, 6, 1, 2, 3, 8, 9, 7, 2, 8, 9, 7, 5, 6, 1, 4, 3, 3, 9, 4, 2, 7, 5, 6, 8, 1, 6, 1, 5, 3, 9, 8, 4, 7, 2, 7, 2, 8, 6, 1, 4, 3, 5, 9, 9, 6, 1, 8, 4, 7, 2, 3, 5, 8, 5, 2, 9, 3, 1, 7, 6, 4, 4, 7, 3, 5, 6, 2, 9, 1, 8],
medium,[0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 9, 5, 6, 4, 0, 9, 7, 5, 6, 2, 8, 0, 0, 0, 0, 0, 4, 8, 0, 7, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 5, 0, 6, 7, 0, 0, 0, 0, 0, 4, 3, 9, 1, 5, 7, 0, 8, 1, 8, 7, 0, 0, 2, 0, 0, 0, 0, 0, 5, 0, 3, 0, 0, 0, 0],[5, 2, 6, 1, 8, 9, 3, 4, 7, 7, 1, 8, 3, 2, 4, 9, 5, 6, 4, 3, 9, 7, 5, 6, 2, 8, 1, 3, 9, 1, 2, 4, 8, 6, 7, 5, 6, 7, 2, 5, 9, 1, 8, 3, 4, 8, 5, 4, 6, 7, 3, 1, 2, 9, 2, 4, 3, 9, 1, 5, 7, 6, 8, 1, 8, 7, 4, 6, 2, 5, 9, 3, 9, 6, 5, 8, 3, 7, 4, 1, 2],
easy,[3, 4, 9, 1, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 4, 0, 0, 9, 8, 0, 0, 5, 7, 0, 0, 0, 0, 9, 8, 2, 6, 0, 0, 0, 1, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 1, 0, 0, 0, 8, 3, 9, 6, 0, 0, 0, 0, 1, 5, 0, 0, 4, 4, 0, 0, 3, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 7, 8, 3, 1],[3, 4, 9, 1, 6, 2, 5, 7, 8, 1, 5, 7, 8, 3, 4, 6, 2, 9, 8, 2, 6, 5, 7, 9, 1, 4, 3, 9, 8, 2, 6, 4, 3, 7, 1, 5, 6, 7, 3, 9, 5, 1, 4, 8, 2, 5, 1, 4, 7, 2, 8, 3, 9, 6, 7, 3, 8, 2, 1, 5, 9, 6, 4, 4, 9, 1, 3, 8, 6, 2, 5, 7, 2, 6, 5, 4, 9, 7, 8, 3, 1],
medium,[0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 6, 0, 0, 8, 3, 0, 0, 0, 9, 5, 0, 0, 0, 0, 2, 3, 1, 3, 9, 0, 0, 4, 1, 0, 8, 0, 0, 1, 0, 0, 3, 0, 0, 2, 0, 0, 4, 0, 7, 2, 0, 0, 1, 5, 5, 2, 4, 0, 0, 0, 0, 7, 3, 0, 0, 0, 6, 7, 0, 0, 5, 0, 0, 8, 7, 0, 0, 0, 0, 0, 0],[4, 7, 3, 2, 1, 5, 8, 6, 9, 2, 6, 1, 9, 8, 3, 5, 4, 7, 9, 5, 8, 4, 6, 7, 2, 3, 1, 3, 9, 2, 5, 4, 1, 7, 8, 6, 7, 1, 5, 8, 3, 6, 9, 2, 4, 8, 4, 6, 7, 2, 9, 3, 1, 5, 5, 2, 4, 1, 9, 8, 6, 7, 3, 1, 3, 9, 6, 7, 2, 4, 5, 8, 6, 8, 7, 3, 5, 4, 1, 9, 2],
medium,[0, 9, 4, 0, 1, 0, 0, 2, 0, 5, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 4, 5, 8, 9, 3, 7, 1, 0, 0, 0, 0, 4, 3, 0, 5, 0, 8, 0, 0, 0, 0, 0, 7, 0, 3, 0, 6, 2, 0, 0, 0, 0, 9, 8, 6, 9, 5, 3, 1, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7, 0, 0, 4, 0, 6, 5, 0],[7, 9, 4, 3, 1, 6, 5, 2, 8, 5, 3, 8, 7, 9, 2, 4, 1, 6, 6, 1, 2, 4, 5, 8, 9, 3, 7, 1, 2, 7, 9, 8, 4, 3, 6, 5, 9, 8, 5, 1, 6, 3, 2, 7, 4, 3, 4, 6, 2, 7, 5, 1, 8, 9, 8, 6, 9, 5, 3, 1, 7, 4, 2, 4, 5, 3, 6, 2, 7, 8, 9, 1, 2, 7, 1, 8, 4, 9, 6, 5, 3],
medium,[1, 9, 0, 7, 3, 8, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 4, 0, 1, 0, 0, 0, 4, 2, 0, 0, 0, 0, 9, 0, 0, 6, 0, 8, 9, 7, 5, 3, 0, 2, 0, 0, 5, 0, 0, 0, 0, 7, 1, 0, 0, 0, 3, 0, 7, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 5, 8, 6, 0, 3, 9],[1, 9, 2, 7, 3, 8, 4, 6, 5, 3, 8, 4, 6, 5, 2, 1, 9, 7, 7, 5, 6, 4, 9, 1, 8, 2, 3, 4, 2, 7, 1, 6, 3, 9, 5, 8, 6, 1, 8, 9, 7, 5, 3, 4, 2, 9, 3, 5, 8, 2, 4, 6, 7, 1, 5, 6, 9, 3, 1, 7, 2, 8, 4, 8, 7, 3, 2, 4, 9, 5, 1, 6, 2, 4, 1, 5, 8, 6, 7, 3, 9],
hard,[0, 6, 4, 0, 8, 1, 0, 0, 0, 3, 5, 0, 0, 2, 9, 7, 4, 0, 0, 0, 2, 0, 0, 0, 0, 8, 6, 5, 0, 0, 7, 0, 0, 0, 3, 0, 0, 2, 3, 0, 0, 0, 4, 9, 0, 0, 4, 0, 0, 0, 3, 0, 0, 8, 2, 8, 0, 0, 0, 0, 6, 0, 0, 0, 3, 1, 8, 6, 0, 0, 7, 9, 0, 0, 0, 1, 3, 0, 8, 5, 0],[7, 6, 4, 3, 8, 1, 9, 2, 5, 3, 5, 8, 6, 2, 9, 7, 4, 1, 9, 1, 2, 4, 5, 7, 3, 8, 6, 5, 9, 6, 7, 4, 8, 1, 3, 2, 8, 2, 3, 5, 1, 6, 4, 9, 7, 1, 4, 7, 2, 9, 3, 5, 6, 8, 2, 8, 5, 9, 7, 4, 6, 1, 3, 4, 3, 1, 8, 6, 5, 2, 7, 9, 6, 7, 9, 1, 3, 2, 8, 5, 4],
medium,[0, 0, 0, 9, 5, 0, 7, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 8, 0, 1, 5, 0, 0, 2, 3, 4, 9, 0, 3, 0, 0, 9, 7, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 2, 1, 0, 0, 8, 0, 1, 4, 2, 6, 0, 0, 8, 9, 0, 3, 5, 0, 0, 0, 0, 0, 7, 0, 0, 7, 8, 0, 3, 4, 0, 0, 0],[4, 8, 3, 9, 5, 1, 7, 2, 6, 7, 2, 9, 3, 4, 6, 5, 1, 8, 6, 1, 5, 7, 8, 2, 3, 4, 9, 8, 3, 1, 5, 9, 7, 2, 6, 4, 2, 9, 7, 4, 6, 8, 1, 3, 5, 5, 6, 4, 2, 1, 3, 9, 8, 7, 1, 4, 2, 6, 7, 5, 8, 9, 3, 3, 5, 6, 8, 2, 9, 4, 7, 1, 9, 7, 8, 1, 3, 4, 6, 5, 2],
medium,[8, 0, 1, 6, 0, 0, 3, 0, 2, 7, 2, 3, 8, 1, 0, 0, 5, 4, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 5, 0, 1, 0, 7, 0, 3, 0, 0, 0, 7, 0, 9, 0, 0, 0, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 9, 3, 0, 0, 2, 1, 7, 8, 6, 6, 0, 2, 0, 0, 8, 4, 0, 3],[8, 4, 1, 6, 7, 5, 3, 9, 2, 7, 2, 3, 8, 1, 9, 6, 5, 4, 5, 6, 9, 2, 3, 4, 8, 7, 1, 3, 9, 8, 5, 4, 2, 1, 6, 7, 4, 5, 6, 1, 8, 7, 2, 3, 9, 2, 1, 7, 3, 9, 6, 5, 4, 8, 1, 8, 4, 7, 6, 3, 9, 2, 5, 9, 3, 5, 4, 2, 1, 7, 8, 6, 6, 7, 2, 9, 5, 8, 4, 1, 3],
easy,[3, 8, 0, 0, 0, 1, 2, 0, 0, 1, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 0, 6, 0, 0, 0, 8, 8, 6, 0, 7, 0, 4, 0, 2, 0, 5, 9, 0, 0, 3, 0, 0, 4, 7, 0, 4, 0, 2, 0, 9, 0, 3, 5, 2, 0, 0, 0, 7, 0, 3, 0, 0, 0, 0, 8, 0, 0, 0, 0, 5, 9, 0, 0, 5, 6, 0, 0, 0, 7, 2],[3, 8, 7, 5, 9, 1, 2, 6, 4, 1, 5, 6, 8, 4, 2, 7, 9, 3, 4, 2, 9, 3, 6, 7, 5, 1, 8, 8, 6, 3, 7, 5, 4, 9, 2, 1, 5, 9, 2, 1, 3, 6, 8, 4, 7, 7, 4, 1, 2, 8, 9, 6, 3, 5, 2, 1, 4, 9, 7, 5, 3, 8, 6, 6, 7, 8, 4, 2, 3, 1, 5, 9, 9, 3, 5, 6, 1, 8, 4, 7, 2],
hard,[0, 1, 0, 0, 0, 5, 0, 3, 6, 0, 0, 6, 1, 0, 3, 5, 0, 7, 8, 0, 3, 0, 7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 4, 0, 2, 8, 6, 0, 7, 9, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 7, 0, 5, 5, 0, 1, 7, 0, 9, 8, 0, 0, 7, 3, 0, 5, 0, 0, 0, 6, 0],[2, 1, 7, 8, 9, 5, 4, 3, 6, 4, 9, 6, 1, 2, 3, 5, 8, 7, 8, 5, 3, 6, 7, 4, 2, 9, 1, 6, 7, 9, 4, 5, 1, 3, 2, 8, 3, 4, 5, 2, 8, 6, 1, 7, 9, 1, 8, 2, 9, 3, 7, 6, 5, 4, 9, 6, 8, 3, 4, 2, 7, 1, 5, 5, 2, 1, 7, 6, 9, 8, 4, 3, 7, 3, 4, 5, 1, 8, 9, 6, 2],
easy,[0, 2, 3, 0, 7, 9, 0, 0, 1, 0, 8, 9, 0, 0, 2, 0, 0, 0, 0, 0, 0, 8, 6, 0, 2, 0, 0, 8, 0, 0, 0, 4, 1, 9, 0, 5, 0, 9, 4, 0, 0, 0, 1, 8, 0, 5, 0, 1, 3, 9, 0, 0, 0, 7, 0, 0, 8, 0, 2, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 1, 0, 2, 0, 0, 6, 1, 0, 7, 9, 0],[6, 2, 3, 5, 7, 9, 8, 4, 1, 4, 8, 9, 1, 3, 2, 5, 7, 6, 1, 5, 7, 8, 6, 4, 2, 3, 9, 8, 3, 2, 7, 4, 1, 9, 6, 5, 7, 9, 4, 2, 5, 6, 1, 8, 3, 5, 6, 1, 3, 9, 8, 4, 2, 7, 3, 1, 8, 9, 2, 7, 6, 5, 4, 9, 7, 6, 4, 8, 5, 3, 1, 2, 2, 4, 5, 6, 1, 3, 7, 9, 8],
easy,[0, 3, 0, 6, 2, 1, 7, 9, 4, 9, 1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 7, 1, 0, 0, 8, 0, 0, 2, 9, 0, 0, 7, 0, 0, 3, 6, 0, 0, 3, 0, 0, 2, 9, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 9, 4, 2, 9, 8, 1, 3, 0, 7, 0],[8, 3, 5, 6, 2, 1, 7, 9, 4, 9, 1, 2, 3, 4, 7, 5, 6, 8, 7, 6, 4, 9, 8, 5, 1, 2, 3, 6, 4, 7, 1, 3, 9, 8, 5, 2, 2, 9, 1, 5, 7, 8, 4, 3, 6, 5, 8, 3, 4, 6, 2, 9, 1, 7, 3, 5, 6, 7, 9, 4, 2, 8, 1, 1, 7, 8, 2, 5, 6, 3, 4, 9, 4, 2, 9, 8, 1, 3, 6, 7, 5],
easy,[0, 8, 6, 5, 4, 2, 1, 0, 0, 0, 5, 0, 0, 0, 3, 6, 9, 2, 0, 0, 0, 0, 9, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 3, 4, 6, 0, 0, 0, 1, 0, 6, 0, 0, 0, 5, 6, 3, 0, 0, 0, 0, 0, 1, 0, 7, 0, 0, 1, 0, 0, 0, 0, 8, 3, 5, 2, 0, 0, 0, 1, 0, 0, 0, 1, 4, 8, 7, 2, 3, 0],[9, 8, 6, 5, 4, 2, 1, 7, 3, 1, 5, 4, 8, 7, 3, 6, 9, 2, 3, 2, 7, 6, 9, 1, 8, 5, 4, 2, 1, 9, 7, 5, 8, 3, 4, 6, 7, 4, 8, 1, 3, 6, 5, 2, 9, 5, 6, 3, 9, 2, 4, 7, 8, 1, 4, 7, 2, 3, 1, 5, 9, 6, 8, 8, 3, 5, 2, 6, 9, 4, 1, 7, 6, 9, 1, 4, 8, 7, 2, 3, 5],
easy,[4, 2, 0, 0, 7, 9, 0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 7, 8, 9, 0, 0, 3, 6, 0, 0, 2, 9, 0, 0, 0, 7, 5, 0, 0, 0, 0, 0, 2, 0, 5, 0, 0, 0, 0, 0, 3, 9, 0, 0, 0, 2, 1, 0, 0, 4, 7, 0, 0, 8, 6, 9, 0, 0, 0, 0, 0, 0, 4, 7, 0, 0, 7, 0, 8, 6, 0, 0, 3, 2],[4, 2, 6, 5, 7, 9, 3, 1, 8, 5, 3, 1, 4, 8, 6, 2, 9, 7, 7, 8, 9, 1, 2, 3, 6, 5, 4, 2, 9, 8, 6, 1, 7, 5, 4, 3, 1, 4, 7, 2, 3, 5, 9, 8, 6, 6, 5, 3, 9, 4, 8, 7, 2, 1, 3, 1, 4, 7, 5, 2, 8, 6, 9, 8, 6, 2, 3, 9, 1, 4, 7, 5, 9, 7, 5, 8, 6, 4, 1, 3, 2],
hard,[0, 0, 0, 0, 3, 9, 0, 6, 5, 0, 4, 5, 0, 6, 0, 0, 0, 2, 0, 6, 3, 0, 0, 2, 1, 0, 8, 0, 0, 6, 0, 0, 5, 0, 2, 7, 0, 0, 1, 0, 0, 0, 6, 0, 0, 7, 3, 0, 8, 0, 0, 5, 0, 0, 8, 0, 7, 6, 0, 0, 2, 3, 0, 6, 0, 0, 0, 7, 0, 9, 8, 0, 3, 1, 0, 2, 8, 0, 0, 0, 0],[2, 7, 8, 1, 3, 9, 4, 6, 5, 1, 4, 5, 7, 6, 8, 3, 9, 2, 9, 6, 3, 4, 5, 2, 1, 7, 8, 4, 9, 6, 3, 1, 5, 8, 2, 7, 5, 8, 1, 9, 2, 7, 6, 4, 3, 7, 3, 2, 8, 4, 6, 5, 1, 9, 8, 5, 7, 6, 9, 1, 2, 3, 4, 6, 2, 4, 5, 7, 3, 9, 8, 1, 3, 1, 9, 2, 8, 4, 7, 5, 6],
medium,[1, 0, 0, 0, 0, 0, 6, 0, 5, 0, 8, 6, 5, 7, 0, 0, 0, 4, 0, 0, 9, 0, 0, 4, 0, 0, 1, 0, 0, 1, 8, 0, 0, 0, 0, 6, 0, 9, 5, 1, 0, 7, 2, 4, 0, 8, 0, 0, 0, 0, 6, 9, 0, 0, 9, 0, 0, 6, 0, 0, 4, 0, 0, 4, 0, 0, 0, 1, 3, 7, 5, 0, 5, 0, 2, 0, 0, 0, 0, 0, 9],[1, 7, 4, 3, 8, 9, 6, 2, 5, 2, 8, 6, 5, 7, 1, 3, 9, 4, 3, 5, 9, 2, 6, 4, 8, 7, 1, 7, 4, 1, 8, 9, 2, 5, 3, 6, 6, 9, 5, 1, 3, 7, 2, 4, 8, 8, 2, 3, 4, 5, 6, 9, 1, 7, 9, 1, 7, 6, 2, 5, 4, 8, 3, 4, 6, 8, 9, 1, 3, 7, 5, 2, 5, 3, 2, 7, 4, 8, 1, 6, 9],
easy,[0, 0, 6, 0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 5, 9, 7, 0, 5, 1, 0, 0, 0, 6, 4, 8, 0, 9, 5, 0, 2, 0, 0, 0, 0, 1, 2, 0, 7, 5, 0, 0, 0, 0, 5, 0, 6, 3, 0, 7, 4, 7, 0, 0, 0, 2, 5, 0, 3, 8, 5, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 6, 0, 0],[8, 5, 6, 3, 9, 4, 7, 1, 2, 1, 2, 4, 6, 7, 8, 3, 9, 5, 9, 7, 3, 5, 1, 2, 8, 4, 6, 4, 8, 7, 9, 5, 1, 2, 6, 3, 6, 3, 1, 2, 4, 7, 5, 8, 9, 2, 9, 5, 8, 6, 3, 1, 7, 4, 7, 6, 9, 1, 2, 5, 4, 3, 8, 5, 1, 8, 4, 3, 6, 9, 2, 7, 3, 4, 2, 7, 8, 9, 6, 5, 1],
medium,[0, 0, 7, 0, 6, 9, 0, 5, 0, 0, 2, 0, 7, 0, 8, 0, 0, 1, 1, 0, 0, 0, 2, 0, 9, 0, 7, 0, 6, 5, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 3, 2, 0, 9, 0, 8, 0, 5, 0, 0, 0, 3, 6, 0, 0, 3, 0, 4, 0, 8, 0, 0, 4, 0, 9, 8, 0, 2, 0, 0],[4, 3, 7, 1, 6, 9, 8, 5, 2, 5, 2, 9, 7, 3, 8, 6, 4, 1, 1, 8, 6, 4, 2, 5, 9, 3, 7, 2, 6, 5, 8, 9, 3, 7, 1, 4, 3, 7, 4, 2, 1, 6, 5, 9, 8, 8, 9, 1, 5, 4, 7, 3, 2, 6, 9, 1, 8, 6, 5, 2, 4, 7, 3, 6, 5, 2, 3, 7, 4, 1, 8, 9, 7, 4, 3, 9, 8, 1, 2, 6, 5],
medium,[0, 5, 0, 0, 0, 9, 0, 0, 4, 0, 0, 0, 4, 0, 0, 7, 2, 6, 7, 0, 4, 3, 1, 0, 0, 0, 0, 4, 0, 0, 9, 0, 1, 5, 0, 7, 0, 1, 0, 8, 0, 7, 0, 9, 0, 2, 0, 7, 5, 0, 6, 0, 0, 3, 0, 0, 0, 0, 8, 4, 6, 0, 9, 6, 4, 8, 0, 0, 3, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 4, 0],[8, 5, 2, 6, 7, 9, 3, 1, 4, 9, 3, 1, 4, 5, 8, 7, 2, 6, 7, 6, 4, 3, 1, 2, 9, 5, 8, 4, 8, 3, 9, 2, 1, 5, 6, 7, 5, 1, 6, 8, 3, 7, 4, 9, 2, 2, 9, 7, 5, 4, 6, 1, 8, 3, 1, 2, 5, 7, 8, 4, 6, 3, 9, 6, 4, 8, 1, 9, 3, 2, 7, 5, 3, 7, 9, 2, 6, 5, 8, 4, 1],
medium,[0, 0, 0, 0, 0, 9, 6, 0, 8, 7, 0, 0, 5, 4, 0, 0, 3, 0, 0, 0, 0, 1, 0, 3, 5, 9, 0, 0, 9, 0, 0, 6, 0, 3, 0, 0, 0, 2, 0, 9, 3, 1, 0, 7, 0, 0, 0, 3, 0, 5, 0, 0, 2, 0, 0, 5, 2, 8, 0, 7, 0, 0, 0, 0, 3, 0, 0, 9, 4, 0, 0, 2, 9, 0, 6, 3, 0, 0, 0, 0, 0],[3, 1, 5, 2, 7, 9, 6, 4, 8, 7, 8, 9, 5, 4, 6, 2, 3, 1, 2, 6, 4, 1, 8, 3, 5, 9, 7, 1, 9, 7, 4, 6, 2, 3, 8, 5, 5, 2, 8, 9, 3, 1, 4, 7, 6, 6, 4, 3, 7, 5, 8, 1, 2, 9, 4, 5, 2, 8, 1, 7, 9, 6, 3, 8, 3, 1, 6, 9, 4, 7, 5, 2, 9, 7, 6, 3, 2, 5, 8, 1, 4],
easy,[8, 0, 0, 0, 7, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 7, 9, 0, 1, 7, 4, 3, 0, 0, 6, 0, 0, 0, 2, 7, 5, 8, 0, 0, 0, 0, 8, 0, 6, 0, 3, 0, 2, 0, 0, 0, 0, 2, 9, 4, 7, 0, 0, 0, 7, 0, 0, 6, 5, 4, 1, 0, 3, 4, 6, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 4, 0, 0, 0, 2],[8, 6, 3, 5, 7, 9, 2, 4, 1, 5, 2, 4, 1, 8, 6, 3, 7, 9, 9, 1, 7, 4, 3, 2, 8, 6, 5, 4, 9, 2, 7, 5, 8, 1, 3, 6, 7, 8, 5, 6, 1, 3, 9, 2, 4, 6, 3, 1, 2, 9, 4, 7, 5, 8, 2, 7, 8, 9, 6, 5, 4, 1, 3, 3, 4, 6, 8, 2, 1, 5, 9, 7, 1, 5, 9, 3, 4, 7, 6, 8, 2],
medium,[0, 8, 0, 0, 3, 4, 0, 0, 1, 1, 3, 0, 9, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 5, 4, 0, 3, 1, 0, 0, 8, 0, 0, 0, 1, 6, 0, 5, 7, 0, 0, 0, 2, 0, 0, 4, 8, 0, 1, 9, 2, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 7, 0, 5, 3, 9, 0, 0, 1, 8, 0, 0, 2, 0],[7, 8, 2, 5, 3, 4, 9, 6, 1, 1, 3, 4, 9, 6, 2, 8, 7, 5, 6, 5, 9, 8, 7, 1, 3, 4, 2, 5, 4, 7, 3, 1, 9, 2, 8, 6, 8, 9, 1, 6, 2, 5, 7, 3, 4, 3, 2, 6, 7, 4, 8, 5, 1, 9, 2, 7, 3, 4, 5, 6, 1, 9, 8, 4, 1, 8, 2, 9, 7, 6, 5, 3, 9, 6, 5, 1, 8, 3, 4, 2, 7],
medium,[0, 7, 0, 5, 0, 0, 0, 9, 0, 0, 5, 4, 1, 2, 0, 0, 6, 3, 1, 0, 0, 0, 8, 0, 0, 7, 0, 0, 4, 0, 0, 9, 5, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 7, 1, 0, 0, 5, 0, 0, 3, 0, 0, 4, 0, 0, 0, 7, 5, 8, 0, 0, 7, 3, 6, 4, 0, 0, 6, 0, 0, 0, 2, 0, 3, 0],[3, 7, 8, 5, 6, 4, 2, 9, 1, 9, 5, 4, 1, 2, 7, 8, 6, 3, 1, 2, 6, 3, 8, 9, 4, 7, 5, 6, 4, 3, 2, 9, 5, 7, 1, 8, 7, 1, 5, 4, 3, 8, 9, 2, 6, 8, 9, 2, 7, 1, 6, 3, 5, 4, 2, 3, 9, 6, 4, 1, 5, 8, 7, 5, 8, 1, 9, 7, 3, 6, 4, 2, 4, 6, 7, 8, 5, 2, 1, 3, 9],
medium,[0, 5, 0, 0, 6, 9, 0, 0, 0, 1, 0, 0, 0, 4, 7, 0, 2, 0, 0, 0, 7, 0, 2, 8, 0, 6, 3, 0, 0, 9, 8, 0, 0, 0, 0, 4, 7, 2, 0, 9, 0, 4, 0, 3, 1, 3, 0, 0, 0, 0, 1, 8, 0, 0, 9, 3, 0, 7, 1, 0, 5, 0, 0, 0, 7, 0, 2, 9, 0, 0, 0, 6, 0, 0, 0, 4, 8, 0, 0, 7, 0],[2, 5, 3, 1, 6, 9, 4, 8, 7, 1, 8, 6, 3, 4, 7, 9, 2, 5, 4, 9, 7, 5, 2, 8, 1, 6, 3, 6, 1, 9, 8, 3, 2, 7, 5, 4, 7, 2, 8, 9, 5, 4, 6, 3, 1, 3, 4, 5, 6, 7, 1, 8, 9, 2, 9, 3, 2, 7, 1, 6, 5, 4, 8, 8, 7, 4, 2, 9, 5, 3, 1, 6, 5, 6, 1, 4, 8, 3, 2, 7, 9],
medium,[5, 0, 0, 9, 2, 0, 6, 0, 8, 0, 0, 0, 5, 0, 6, 0, 0, 0, 6, 3, 1, 0, 0, 0, 2, 0, 9, 0, 8, 0, 3, 0, 0, 7, 0, 0, 0, 0, 9, 8, 5, 4, 3, 0, 0, 0, 0, 3, 0, 0, 1, 0, 8, 0, 9, 0, 6, 0, 0, 0, 1, 3, 7, 0, 0, 0, 1, 0, 9, 0, 0, 0, 2, 0, 8, 0, 3, 7, 0, 0, 6],[5, 7, 4, 9, 2, 3, 6, 1, 8, 8, 9, 2, 5, 1, 6, 4, 7, 3, 6, 3, 1, 7, 4, 8, 2, 5, 9, 1, 8, 5, 3, 9, 2, 7, 6, 4, 7, 6, 9, 8, 5, 4, 3, 2, 1, 4, 2, 3, 6, 7, 1, 9, 8, 5, 9, 4, 6, 2, 8, 5, 1, 3, 7, 3, 5, 7, 1, 6, 9, 8, 4, 2, 2, 1, 8, 4, 3, 7, 5, 9, 6],
easy,[6, 9, 4, 0, 7, 0, 5, 0, 0, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 6, 8, 4, 0, 9, 0, 0, 6, 8, 0, 1, 0, 0, 0, 5, 0, 4, 7, 0, 0, 0, 6, 8, 0, 5, 0, 0, 0, 6, 0, 9, 7, 0, 0, 3, 0, 1, 4, 7, 8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 6, 0, 3, 0, 7, 1, 2],[6, 9, 4, 2, 7, 1, 5, 3, 8, 8, 7, 2, 3, 5, 9, 1, 6, 4, 3, 5, 1, 6, 8, 4, 2, 9, 7, 9, 6, 8, 7, 1, 3, 4, 2, 5, 1, 4, 7, 5, 9, 2, 6, 8, 3, 5, 2, 3, 4, 6, 8, 9, 7, 1, 2, 3, 9, 1, 4, 7, 8, 5, 6, 7, 1, 5, 8, 2, 6, 3, 4, 9, 4, 8, 6, 9, 3, 5, 7, 1, 2],
hard,[0, 0, 9, 2, 0, 0, 0, 4, 0, 2, 0, 0, 5, 0, 0, 9, 0, 3, 5, 0, 3, 9, 0, 6, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 7, 1, 0, 0, 1, 7, 6, 8, 4, 0, 0, 9, 2, 0, 0, 5, 0, 0, 0, 6, 0, 0, 0, 8, 0, 2, 3, 0, 4, 7, 0, 8, 0, 0, 5, 0, 0, 9, 0, 3, 0, 0, 0, 1, 7, 0, 0],[8, 7, 9, 2, 1, 3, 6, 4, 5, 2, 6, 4, 5, 8, 7, 9, 1, 3, 5, 1, 3, 9, 4, 6, 2, 8, 7, 4, 8, 6, 3, 2, 9, 5, 7, 1, 3, 5, 1, 7, 6, 8, 4, 9, 2, 9, 2, 7, 1, 5, 4, 8, 3, 6, 1, 9, 5, 8, 7, 2, 3, 6, 4, 7, 4, 8, 6, 3, 5, 1, 2, 9, 6, 3, 2, 4, 9, 1, 7, 5, 8],
medium,[2, 0, 9, 0, 0, 0, 7, 3, 0, 0, 0, 5, 0, 4, 0, 6, 0, 0, 0, 0, 7, 5, 3, 0, 4, 1, 0, 0, 8, 3, 6, 0, 0, 0, 5, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 7, 0, 0, 0, 1, 3, 6, 0, 0, 1, 6, 0, 2, 5, 8, 0, 0, 0, 0, 8, 0, 9, 0, 5, 0, 0, 0, 9, 4, 0, 0, 0, 2, 0, 6],[2, 4, 9, 1, 6, 8, 7, 3, 5, 1, 3, 5, 2, 4, 7, 6, 8, 9, 8, 6, 7, 5, 3, 9, 4, 1, 2, 9, 8, 3, 6, 7, 2, 1, 5, 4, 6, 5, 1, 3, 8, 4, 9, 2, 7, 4, 7, 2, 9, 5, 1, 3, 6, 8, 7, 1, 6, 4, 2, 5, 8, 9, 3, 3, 2, 8, 7, 9, 6, 5, 4, 1, 5, 9, 4, 8, 1, 3, 2, 7, 6],
easy,[0, 8, 0, 0, 7, 5, 0, 0, 1, 0, 9, 5, 8, 0, 0, 2, 7, 4, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0, 1, 2, 0, 9, 0, 0, 0, 0, 0, 0, 0, 5, 0, 3, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 1, 4, 9, 0, 0, 2, 5, 8, 0, 3, 0, 0, 9, 5, 0, 0, 6, 0],[4, 8, 3, 2, 7, 5, 6, 9, 1, 6, 9, 5, 8, 1, 3, 2, 7, 4, 7, 1, 2, 6, 9, 4, 3, 5, 8, 8, 5, 7, 4, 3, 9, 1, 2, 6, 9, 6, 4, 1, 2, 7, 8, 3, 5, 2, 3, 1, 5, 8, 6, 9, 4, 7, 5, 2, 6, 3, 4, 8, 7, 1, 9, 1, 4, 9, 7, 6, 2, 5, 8, 3, 3, 7, 8, 9, 5, 1, 4, 6, 2],
easy,[2, 0, 0, 0, 0, 5, 0, 4, 1, 6, 3, 0, 0, 0, 2, 7, 0, 8, 0, 1, 5, 6, 4, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 3, 0, 0, 3, 0, 0, 5, 0, 1, 0, 0, 6, 0, 0, 9, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 6, 2, 7, 0, 4, 0, 2, 7, 0, 0, 0, 1, 9, 7, 8, 0, 2, 0, 0, 0, 0, 4],[2, 9, 7, 8, 3, 5, 6, 4, 1, 6, 3, 4, 1, 9, 2, 7, 5, 8, 8, 1, 5, 6, 4, 7, 9, 3, 2, 1, 4, 6, 9, 7, 8, 3, 2, 5, 3, 7, 8, 5, 2, 1, 4, 9, 6, 5, 2, 9, 3, 6, 4, 1, 8, 7, 9, 5, 1, 4, 8, 6, 2, 7, 3, 4, 6, 2, 7, 5, 3, 8, 1, 9, 7, 8, 3, 2, 1, 9, 5, 6, 4],
medium,[1, 0, 0, 0, 0, 0, 0, 0, 9, 3, 0, 9, 1, 0, 7, 0, 6, 2, 0, 0, 0, 0, 0, 3, 0, 1, 4, 0, 9, 1, 0, 8, 2, 0, 4, 0, 0, 8, 0, 0, 7, 0, 0, 9, 0, 0, 3, 0, 9, 1, 0, 5, 2, 0, 9, 7, 0, 2, 0, 0, 0, 0, 0, 8, 2, 0, 5, 0, 1, 9, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 5],[1, 6, 7, 8, 2, 4, 3, 5, 9, 3, 4, 9, 1, 5, 7, 8, 6, 2, 2, 5, 8, 6, 9, 3, 7, 1, 4, 5, 9, 1, 3, 8, 2, 6, 4, 7, 6, 8, 2, 4, 7, 5, 1, 9, 3, 7, 3, 4, 9, 1, 6, 5, 2, 8, 9, 7, 5, 2, 6, 8, 4, 3, 1, 8, 2, 3, 5, 4, 1, 9, 7, 6, 4, 1, 6, 7, 3, 9, 2, 8, 5],
easy,[1, 0, 0, 0, 0, 5, 4, 8, 7, 0, 4, 6, 8, 0, 0, 0, 5, 9, 8, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 5, 0, 0, 9, 0, 0, 6, 9, 2, 0, 3, 5, 7, 0, 0, 8, 0, 0, 1, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 0, 5, 5, 7, 0, 0, 0, 2, 9, 3, 0, 6, 3, 8, 5, 0, 0, 0, 0, 2],[1, 9, 3, 6, 2, 5, 4, 8, 7, 2, 4, 6, 8, 3, 7, 1, 5, 9, 8, 5, 7, 1, 4, 9, 2, 6, 3, 3, 1, 2, 7, 5, 6, 8, 9, 4, 4, 6, 9, 2, 8, 3, 5, 7, 1, 7, 8, 5, 9, 1, 4, 3, 2, 6, 9, 2, 4, 3, 7, 8, 6, 1, 5, 5, 7, 1, 4, 6, 2, 9, 3, 8, 6, 3, 8, 5, 9, 1, 7, 4, 2],
medium,[0, 8, 0, 5, 0, 0, 0, 0, 4, 0, 2, 9, 0, 8, 6, 0, 1, 5, 4, 0, 5, 0, 1, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 3, 8, 0, 0, 4, 6, 0, 0, 0, 5, 7, 0, 0, 5, 3, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 6, 0, 1, 0, 7, 5, 6, 0, 1, 7, 0, 4, 9, 0, 7, 0, 0, 0, 0, 9, 0, 6, 0],[6, 8, 1, 5, 2, 7, 9, 3, 4, 3, 2, 9, 4, 8, 6, 7, 1, 5, 4, 7, 5, 9, 1, 3, 8, 2, 6, 1, 9, 7, 6, 4, 5, 3, 8, 2, 2, 4, 6, 8, 3, 1, 5, 7, 9, 8, 5, 3, 7, 9, 2, 6, 4, 1, 9, 3, 8, 2, 6, 4, 1, 5, 7, 5, 6, 2, 1, 7, 8, 4, 9, 3, 7, 1, 4, 3, 5, 9, 2, 6, 8],
hard,[0, 0, 5, 0, 4, 0, 0, 7, 1, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 7, 0, 0, 8, 3, 0, 9, 6, 0, 0, 6, 0, 5, 8, 0, 1, 0, 1, 4, 8, 0, 0, 0, 7, 6, 5, 0, 2, 0, 7, 6, 0, 3, 0, 0, 6, 5, 0, 9, 3, 0, 0, 8, 0, 9, 0, 0, 0, 7, 0, 0, 0, 0, 4, 8, 0, 0, 2, 0, 5, 0, 0],[3, 6, 5, 2, 4, 9, 8, 7, 1, 8, 9, 4, 6, 1, 7, 2, 5, 3, 2, 7, 1, 5, 8, 3, 4, 9, 6, 7, 3, 6, 4, 5, 8, 9, 1, 2, 1, 4, 8, 3, 9, 2, 7, 6, 5, 5, 2, 9, 7, 6, 1, 3, 4, 8, 6, 5, 2, 9, 3, 4, 1, 8, 7, 9, 1, 3, 8, 7, 5, 6, 2, 4, 4, 8, 7, 1, 2, 6, 5, 3, 9],
medium,[0, 0, 5, 0, 0, 0, 0, 3, 0, 4, 0, 6, 0, 5, 2, 0, 8, 1, 1, 0, 0, 0, 3, 4, 0, 0, 2, 9, 0, 0, 0, 2, 0, 0, 0, 0, 5, 0, 3, 0, 7, 0, 1, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 6, 6, 0, 0, 9, 4, 0, 0, 0, 8, 8, 2, 0, 1, 6, 0, 7, 0, 3, 0, 9, 0, 0, 0, 0, 4, 0, 0],[2, 7, 5, 8, 1, 9, 6, 3, 4, 4, 3, 6, 7, 5, 2, 9, 8, 1, 1, 8, 9, 6, 3, 4, 5, 7, 2, 9, 1, 8, 5, 2, 6, 3, 4, 7, 5, 6, 3, 4, 7, 8, 1, 2, 9, 7, 4, 2, 3, 9, 1, 8, 5, 6, 6, 5, 7, 9, 4, 3, 2, 1, 8, 8, 2, 4, 1, 6, 5, 7, 9, 3, 3, 9, 1, 2, 8, 7, 4, 6, 5],
hard,[0, 0, 0, 0, 0, 5, 7, 0, 0, 5, 0, 1, 7, 2, 0, 6, 0, 0, 9, 0, 2, 0, 0, 0, 1, 0, 8, 0, 6, 0, 0, 5, 7, 0, 8, 2, 7, 0, 0, 0, 8, 0, 0, 0, 9, 4, 2, 0, 6, 3, 0, 0, 1, 0, 1, 0, 4, 0, 0, 0, 2, 0, 5, 0, 0, 6, 0, 7, 4, 9, 0, 1, 0, 0, 7, 5, 0, 0, 0, 0, 0],[6, 8, 3, 9, 1, 5, 7, 2, 4, 5, 4, 1, 7, 2, 8, 6, 9, 3, 9, 7, 2, 3, 4, 6, 1, 5, 8, 3, 6, 9, 1, 5, 7, 4, 8, 2, 7, 1, 5, 4, 8, 2, 3, 6, 9, 4, 2, 8, 6, 3, 9, 5, 1, 7, 1, 9, 4, 8, 6, 3, 2, 7, 5, 8, 5, 6, 2, 7, 4, 9, 3, 1, 2, 3, 7, 5, 9, 1, 8, 4, 6],
medium,[0, 0, 0, 5, 0, 0, 4, 0, 6, 2, 0, 0, 6, 1, 0, 3, 0, 7, 0, 3, 0, 2, 7, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 6, 0, 3, 0, 0, 1, 3, 5, 8, 2, 0, 0, 3, 0, 4, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 3, 5, 0, 6, 0, 9, 0, 3, 0, 6, 7, 0, 0, 1, 1, 0, 5, 0, 0, 2, 0, 0, 0],[7, 1, 9, 5, 8, 3, 4, 2, 6, 2, 4, 8, 6, 1, 9, 3, 5, 7, 5, 3, 6, 2, 7, 4, 8, 1, 9, 8, 5, 2, 7, 4, 1, 6, 9, 3, 6, 9, 1, 3, 5, 8, 2, 7, 4, 3, 7, 4, 9, 2, 6, 1, 8, 5, 4, 8, 7, 1, 3, 5, 9, 6, 2, 9, 2, 3, 8, 6, 7, 5, 4, 1, 1, 6, 5, 4, 9, 2, 7, 3, 8],
medium,[0, 7, 9, 0, 2, 8, 0, 0, 0, 5, 0, 2, 0, 3, 0, 0, 9, 0, 8, 0, 1, 0, 4, 5, 7, 0, 0, 0, 0, 4, 6, 0, 0, 0, 0, 2, 7, 0, 0, 0, 8, 0, 0, 0, 5, 6, 0, 0, 0, 0, 4, 9, 0, 0, 0, 0, 6, 5, 7, 0, 2, 0, 9, 0, 9, 0, 0, 6, 0, 1, 0, 4, 0, 0, 0, 4, 9, 0, 5, 6, 0],[3, 7, 9, 1, 2, 8, 4, 5, 6, 5, 4, 2, 7, 3, 6, 8, 9, 1, 8, 6, 1, 9, 4, 5, 7, 2, 3, 9, 5, 4, 6, 1, 7, 3, 8, 2, 7, 1, 3, 2, 8, 9, 6, 4, 5, 6, 2, 8, 3, 5, 4, 9, 1, 7, 4, 8, 6, 5, 7, 1, 2, 3, 9, 2, 9, 5, 8, 6, 3, 1, 7, 4, 1, 3, 7, 4, 9, 2, 5, 6, 8],
easy,[0, 0, 4, 1, 0, 9, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 7, 8, 0, 0, 6, 0, 3, 8, 0, 5, 0, 0, 9, 0, 2, 0, 0, 0, 8, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 4, 0, 7, 8, 0, 6, 0, 0, 7, 1, 0, 5, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 3, 0, 6, 8, 0, 0],[6, 3, 4, 1, 2, 9, 7, 8, 5, 9, 7, 8, 4, 6, 5, 3, 2, 1, 5, 2, 1, 7, 8, 3, 4, 6, 9, 3, 8, 6, 5, 1, 7, 9, 4, 2, 4, 5, 7, 8, 9, 2, 1, 3, 6, 1, 9, 2, 6, 3, 4, 5, 7, 8, 8, 6, 3, 9, 7, 1, 2, 5, 4, 7, 1, 5, 2, 4, 8, 6, 9, 3, 2, 4, 9, 3, 5, 6, 8, 1, 7],
easy,[0, 0, 1, 0, 7, 2, 0, 0, 0, 9, 0, 0, 6, 0, 3, 0, 0, 0, 3, 0, 0, 4, 5, 0, 1, 8, 2, 7, 0, 4, 0, 8, 6, 0, 0, 0, 0, 5, 0, 0, 9, 0, 0, 2, 0, 0, 0, 0, 2, 3, 0, 7, 0, 8, 4, 7, 5, 0, 2, 1, 0, 0, 6, 0, 0, 0, 7, 0, 8, 0, 0, 9, 0, 0, 0, 3, 6, 0, 2, 0, 0],[5, 4, 1, 8, 7, 2, 9, 6, 3, 9, 8, 2, 6, 1, 3, 4, 7, 5, 3, 6, 7, 4, 5, 9, 1, 8, 2, 7, 2, 4, 5, 8, 6, 3, 9, 1, 8, 5, 3, 1, 9, 7, 6, 2, 4, 6, 1, 9, 2, 3, 4, 7, 5, 8, 4, 7, 5, 9, 2, 1, 8, 3, 6, 2, 3, 6, 7, 4, 8, 5, 1, 9, 1, 9, 8, 3, 6, 5, 2, 4, 7],
easy,[0, 0, 5, 0, 0, 2, 0, 0, 4, 2, 4, 0, 6, 3, 7, 0, 0, 9, 1, 7, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 7, 6, 0, 0, 1, 0, 6, 0, 4, 0, 9, 0, 2, 0, 7, 0, 0, 3, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 1, 3, 6, 0, 0, 7, 4, 3, 0, 8, 2, 3, 0, 0, 8, 0, 0, 4, 0, 0],[9, 3, 5, 1, 8, 2, 6, 7, 4, 2, 4, 8, 6, 3, 7, 1, 5, 9, 1, 7, 6, 5, 9, 4, 2, 3, 8, 5, 9, 3, 2, 7, 6, 8, 4, 1, 8, 6, 1, 4, 5, 9, 3, 2, 7, 7, 2, 4, 3, 1, 8, 9, 6, 5, 4, 8, 2, 9, 6, 5, 7, 1, 3, 6, 1, 9, 7, 4, 3, 5, 8, 2, 3, 5, 7, 8, 2, 1, 4, 9, 6],
hard,[1, 0, 0, 0, 0, 0, 0, 4, 3, 0, 9, 5, 0, 0, 6, 0, 0, 0, 4, 7, 0, 0, 8, 3, 9, 0, 6, 9, 0, 0, 2, 0, 0, 0, 0, 5, 0, 0, 7, 8, 4, 1, 2, 0, 0, 2, 0, 0, 0, 0, 5, 0, 0, 7, 8, 0, 3, 9, 5, 0, 0, 7, 4, 0, 0, 0, 6, 0, 0, 5, 8, 0, 5, 6, 0, 0, 0, 0, 0, 0, 2],[1, 8, 6, 5, 2, 9, 7, 4, 3, 3, 9, 5, 4, 7, 6, 1, 2, 8, 4, 7, 2, 1, 8, 3, 9, 5, 6, 9, 3, 8, 2, 6, 7, 4, 1, 5, 6, 5, 7, 8, 4, 1, 2, 3, 9, 2, 4, 1, 3, 9, 5, 8, 6, 7, 8, 1, 3, 9, 5, 2, 6, 7, 4, 7, 2, 9, 6, 3, 4, 5, 8, 1, 5, 6, 4, 7, 1, 8, 3, 9, 2],
easy,[7, 0, 0, 1, 5, 0, 0, 8, 0, 0, 0, 0, 9, 3, 2, 7, 0, 0, 0, 0, 6, 0, 4, 0, 9, 1, 0, 6, 7, 0, 0, 0, 3, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 3, 2, 0, 0, 0, 4, 6, 0, 4, 5, 0, 7, 0, 6, 0, 0, 0, 0, 1, 3, 9, 5, 0, 0, 0, 0, 9, 0, 0, 2, 4, 0, 0, 1],[7, 3, 9, 1, 5, 6, 2, 8, 4, 1, 8, 4, 9, 3, 2, 7, 6, 5, 5, 2, 6, 7, 4, 8, 9, 1, 3, 6, 7, 2, 4, 1, 3, 8, 5, 9, 4, 1, 8, 5, 6, 9, 3, 2, 7, 9, 5, 3, 2, 8, 7, 1, 4, 6, 3, 4, 5, 8, 7, 1, 6, 9, 2, 2, 6, 1, 3, 9, 5, 4, 7, 8, 8, 9, 7, 6, 2, 4, 5, 3, 1],
medium,[0, 4, 7, 0, 0, 0, 0, 8, 5, 0, 8, 0, 0, 0, 4, 0, 0, 6, 9, 1, 3, 0, 0, 6, 7, 0, 0, 4, 2, 0, 0, 7, 0, 8, 0, 0, 0, 3, 0, 8, 0, 5, 0, 7, 0, 0, 0, 8, 0, 2, 0, 0, 9, 1, 0, 0, 4, 6, 0, 0, 1, 3, 8, 8, 0, 0, 2, 0, 0, 0, 4, 0, 3, 9, 0, 0, 0, 0, 2, 6, 0],[6, 4, 7, 3, 1, 2, 9, 8, 5, 5, 8, 2, 7, 9, 4, 3, 1, 6, 9, 1, 3, 5, 8, 6, 7, 2, 4, 4, 2, 6, 9, 7, 1, 8, 5, 3, 1, 3, 9, 8, 6, 5, 4, 7, 2, 7, 5, 8, 4, 2, 3, 6, 9, 1, 2, 7, 4, 6, 5, 9, 1, 3, 8, 8, 6, 1, 2, 3, 7, 5, 4, 9, 3, 9, 5, 1, 4, 8, 2, 6, 7],
easy,[0, 9, 8, 2, 6, 7, 1, 0, 0, 1, 2, 0, 0, 0, 5, 8, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 7, 6, 0, 0, 7, 0, 9, 5, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 5, 0, 6, 0, 0, 2, 5, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 5, 8, 0, 0, 3, 6, 5, 2, 4, 9, 0],[4, 9, 8, 2, 6, 7, 1, 3, 5, 1, 2, 7, 3, 9, 5, 8, 6, 4, 3, 5, 6, 1, 4, 8, 9, 2, 7, 6, 1, 2, 7, 8, 9, 5, 4, 3, 7, 3, 5, 4, 2, 1, 6, 8, 9, 9, 8, 4, 5, 3, 6, 7, 1, 2, 5, 4, 9, 8, 1, 3, 2, 7, 6, 2, 6, 1, 9, 7, 4, 3, 5, 8, 8, 7, 3, 6, 5, 2, 4, 9, 1],
hard,[0, 0, 0, 0, 6, 0, 8, 0, 0, 6, 7, 3, 8, 0, 0, 0, 1, 0, 0, 4, 0, 0, 7, 1, 9, 0, 6, 9, 0, 0, 0, 1, 8, 7, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 5, 9, 2, 0, 0, 0, 3, 3, 0, 2, 6, 4, 0, 0, 9, 0, 0, 6, 0, 0, 0, 9, 3, 7, 1, 0, 0, 7, 0, 3, 0, 0, 0, 0],[1, 5, 9, 4, 6, 3, 8, 2, 7, 6, 7, 3, 8, 9, 2, 4, 1, 5, 2, 4, 8, 5, 7, 1, 9, 3, 6, 9, 2, 6, 3, 1, 8, 7, 5, 4, 4, 3, 1, 7, 5, 6, 2, 8, 9, 7, 8, 5, 9, 2, 4, 1, 6, 3, 3, 1, 2, 6, 4, 7, 5, 9, 8, 5, 6, 4, 2, 8, 9, 3, 7, 1, 8, 9, 7, 1, 3, 5, 6, 4, 2],
medium,[0, 4, 9, 0, 0, 0, 6, 0, 7, 2, 7, 0, 6, 4, 1, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 2, 0, 0, 8, 0, 0, 0, 6, 8, 1, 3, 0, 0, 0, 9, 4, 2, 6, 0, 0, 0, 3, 0, 0, 7, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 7, 9, 3, 0, 8, 5, 9, 0, 2, 0, 0, 0, 7, 3, 0],[5, 4, 9, 3, 2, 8, 6, 1, 7, 2, 7, 8, 6, 4, 1, 5, 9, 3, 1, 3, 6, 9, 5, 7, 8, 2, 4, 7, 2, 4, 1, 8, 9, 3, 5, 6, 8, 1, 3, 5, 7, 6, 9, 4, 2, 6, 9, 5, 4, 3, 2, 1, 7, 8, 3, 8, 7, 2, 1, 5, 4, 6, 9, 4, 6, 1, 7, 9, 3, 2, 8, 5, 9, 5, 2, 8, 6, 4, 7, 3, 1],
easy,[2, 5, 0, 0, 4, 0, 0, 0, 3, 0, 6, 7, 0, 0, 0, 9, 0, 2, 3, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 8, 0, 9, 7, 0, 6, 9, 1, 8, 2, 0, 4, 9, 0, 8, 0, 0, 4, 0, 0, 0, 0, 9, 0, 0, 0, 5, 0, 0, 8, 8, 0, 4, 0, 0, 0, 5, 9, 0, 5, 0, 0, 0, 8, 0, 0, 3, 1],[2, 5, 9, 8, 4, 7, 1, 6, 3, 4, 6, 7, 5, 3, 1, 9, 8, 2, 3, 8, 1, 2, 9, 6, 7, 4, 5, 1, 4, 5, 6, 2, 3, 8, 7, 9, 7, 3, 6, 9, 1, 8, 2, 5, 4, 9, 2, 8, 7, 5, 4, 3, 1, 6, 6, 9, 3, 1, 7, 5, 4, 2, 8, 8, 1, 4, 3, 6, 2, 5, 9, 7, 5, 7, 2, 4, 8, 9, 6, 3, 1],
medium,[6, 0, 8, 3, 0, 1, 0, 4, 0, 0, 0, 0, 0, 5, 0, 6, 0, 3, 5, 3, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 4, 0, 8, 0, 4, 9, 2, 0, 7, 0, 9, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 6, 8, 8, 0, 7, 0, 2, 0, 0, 0, 0, 0, 9, 0, 8, 0, 7, 4, 0, 2],[6, 2, 8, 3, 7, 1, 5, 4, 9, 4, 7, 9, 2, 5, 8, 6, 1, 3, 5, 3, 1, 9, 6, 4, 2, 8, 7, 7, 1, 2, 6, 8, 5, 9, 3, 4, 3, 8, 5, 4, 9, 2, 1, 7, 6, 9, 6, 4, 7, 1, 3, 8, 2, 5, 2, 5, 3, 1, 4, 9, 7, 6, 8, 8, 4, 7, 5, 2, 6, 3, 9, 1, 1, 9, 6, 8, 3, 7, 4, 5, 2],
hard,[6, 0, 0, 7, 5, 2, 0, 0, 0, 0, 7, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 0, 0, 1, 0, 0, 2, 8, 0, 5, 0, 6, 0, 9, 3, 9, 5, 0, 2, 0, 3, 0, 1, 8, 1, 6, 0, 8, 0, 9, 0, 4, 5, 0, 0, 6, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 3, 9, 7, 0, 0, 2],[6, 4, 1, 7, 5, 2, 3, 8, 9, 3, 7, 2, 9, 8, 1, 4, 5, 6, 5, 9, 8, 6, 3, 4, 1, 2, 7, 2, 8, 4, 5, 1, 6, 7, 9, 3, 9, 5, 7, 2, 4, 3, 6, 1, 8, 1, 6, 3, 8, 7, 9, 2, 4, 5, 8, 3, 6, 1, 2, 5, 9, 7, 4, 7, 2, 9, 4, 6, 8, 5, 3, 1, 4, 1, 5, 3, 9, 7, 8, 6, 2],
medium,[0, 8, 0, 4, 0, 7, 0, 0, 2, 0, 0, 3, 5, 0, 0, 6, 0, 7, 2, 0, 7, 0, 9, 3, 1, 5, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 4, 6, 9, 8, 0, 5, 0, 3, 1, 0, 9, 0, 0, 5, 7, 0, 0, 8, 0, 0, 2, 0, 6, 0, 1, 0],[5, 8, 1, 4, 6, 7, 9, 3, 2, 4, 9, 3, 5, 1, 2, 6, 8, 7, 2, 6, 7, 8, 9, 3, 1, 5, 4, 3, 7, 8, 1, 5, 9, 2, 4, 6, 9, 1, 2, 6, 3, 4, 8, 7, 5, 6, 5, 4, 7, 2, 8, 3, 9, 1, 7, 4, 6, 9, 8, 1, 5, 2, 3, 1, 2, 9, 3, 4, 5, 7, 6, 8, 8, 3, 5, 2, 7, 6, 4, 1, 9],
medium,[0, 9, 0, 0, 4, 0, 6, 0, 1, 3, 2, 0, 7, 1, 0, 0, 0, 0, 0, 1, 4, 9, 0, 0, 7, 0, 2, 2, 4, 0, 1, 0, 0, 5, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 5, 0, 4, 7, 9, 0, 2, 0, 0, 7, 3, 1, 0, 0, 0, 0, 0, 2, 6, 0, 5, 9, 8, 0, 5, 0, 9, 0, 0, 7, 0],[7, 9, 8, 5, 4, 2, 6, 3, 1, 3, 2, 6, 7, 1, 8, 4, 9, 5, 5, 1, 4, 9, 6, 3, 7, 8, 2, 2, 4, 7, 1, 8, 9, 5, 6, 3, 1, 5, 3, 6, 7, 4, 9, 2, 8, 6, 8, 9, 2, 3, 5, 1, 4, 7, 9, 6, 2, 8, 5, 7, 3, 1, 4, 4, 7, 1, 3, 2, 6, 8, 5, 9, 8, 3, 5, 4, 9, 1, 2, 7, 6],
medium,[0, 8, 0, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 2, 3, 4, 0, 0, 0, 2, 7, 0, 5, 8, 0, 0, 0, 0, 0, 4, 0, 0, 9, 5, 2, 6, 8, 0, 3, 4, 7, 1, 1, 0, 0, 5, 0, 0, 0, 0, 0, 9, 4, 0, 6, 3, 0, 0, 0, 5, 3, 6, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 8, 0],[6, 8, 2, 3, 5, 9, 1, 4, 7, 7, 1, 5, 4, 6, 8, 9, 2, 3, 4, 3, 9, 1, 2, 7, 6, 5, 8, 8, 7, 3, 2, 1, 4, 5, 6, 9, 5, 2, 6, 8, 9, 3, 4, 7, 1, 1, 9, 4, 5, 7, 6, 8, 3, 2, 9, 4, 8, 6, 3, 2, 7, 1, 5, 3, 6, 1, 7, 8, 5, 2, 9, 4, 2, 5, 7, 9, 4, 1, 3, 8, 6],
hard,[0, 0, 9, 7, 1, 0, 3, 0, 0, 0, 5, 0, 0, 0, 8, 0, 6, 0, 0, 0, 8, 3, 0, 4, 0, 0, 0, 7, 0, 0, 0, 8, 6, 2, 5, 0, 0, 3, 4, 0, 5, 0, 1, 8, 0, 0, 8, 2, 1, 7, 0, 0, 0, 6, 0, 0, 0, 8, 0, 1, 5, 0, 0, 0, 4, 0, 6, 0, 0, 0, 1, 0, 0, 0, 7, 0, 2, 9, 6, 0, 0],[2, 6, 9, 7, 1, 5, 3, 4, 8, 4, 5, 3, 2, 9, 8, 7, 6, 1, 1, 7, 8, 3, 6, 4, 9, 2, 5, 7, 9, 1, 4, 8, 6, 2, 5, 3, 6, 3, 4, 9, 5, 2, 1, 8, 7, 5, 8, 2, 1, 7, 3, 4, 9, 6, 3, 2, 6, 8, 4, 1, 5, 7, 9, 9, 4, 5, 6, 3, 7, 8, 1, 2, 8, 1, 7, 5, 2, 9, 6, 3, 4],
medium,[0, 5, 8, 0, 0, 6, 0, 0, 9, 9, 0, 0, 0, 8, 0, 5, 1, 6, 1, 0, 4, 9, 5, 0, 0, 2, 0, 3, 0, 1, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 2, 0, 0, 0, 4, 0, 8, 0, 2, 0, 0, 4, 9, 1, 0, 7, 5, 1, 7, 0, 6, 0, 0, 0, 4, 4, 0, 0, 5, 0, 0, 6, 8, 0],[2, 5, 8, 1, 3, 6, 7, 4, 9, 9, 7, 3, 2, 8, 4, 5, 1, 6, 1, 6, 4, 9, 5, 7, 8, 2, 3, 3, 4, 1, 7, 9, 8, 2, 6, 5, 6, 8, 5, 4, 2, 3, 9, 7, 1, 7, 9, 2, 6, 1, 5, 4, 3, 8, 8, 2, 6, 3, 4, 9, 1, 5, 7, 5, 1, 7, 8, 6, 2, 3, 9, 4, 4, 3, 9, 5, 7, 1, 6, 8, 2],
easy,[0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 9, 6, 0, 0, 5, 7, 3, 0, 8, 0, 0, 0, 3, 0, 5, 0, 1, 0, 0, 0, 7, 5, 9, 0, 6, 0, 0, 0, 8, 0, 1, 0, 9, 0, 0, 0, 5, 0, 6, 8, 2, 0, 0, 0, 4, 0, 9, 0, 2, 0, 0, 0, 5, 0, 1, 5, 4, 0, 0, 8, 2, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0],[5, 2, 3, 9, 7, 1, 4, 8, 6, 1, 9, 6, 8, 4, 5, 7, 3, 2, 8, 7, 4, 2, 3, 6, 5, 9, 1, 3, 4, 1, 7, 5, 9, 2, 6, 8, 2, 6, 8, 3, 1, 4, 9, 5, 7, 9, 5, 7, 6, 8, 2, 1, 4, 3, 4, 3, 9, 1, 2, 8, 6, 7, 5, 7, 1, 5, 4, 6, 3, 8, 2, 9, 6, 8, 2, 5, 9, 7, 3, 1, 4],
medium,[8, 0, 0, 6, 7, 0, 9, 4, 0, 2, 4, 0, 0, 0, 0, 8, 0, 0, 7, 6, 5, 0, 0, 0, 0, 3, 2, 0, 0, 0, 1, 2, 0, 3, 0, 0, 5, 0, 3, 0, 0, 0, 2, 0, 8, 0, 0, 2, 0, 3, 8, 0, 0, 0, 1, 2, 0, 0, 0, 0, 7, 8, 9, 0, 0, 7, 0, 0, 0, 0, 1, 3, 0, 9, 8, 0, 4, 1, 0, 0, 6],[8, 3, 1, 6, 7, 2, 9, 4, 5, 2, 4, 9, 5, 1, 3, 8, 6, 7, 7, 6, 5, 8, 9, 4, 1, 3, 2, 9, 8, 6, 1, 2, 5, 3, 7, 4, 5, 1, 3, 4, 6, 7, 2, 9, 8, 4, 7, 2, 9, 3, 8, 6, 5, 1, 1, 2, 4, 3, 5, 6, 7, 8, 9, 6, 5, 7, 2, 8, 9, 4, 1, 3, 3, 9, 8, 7, 4, 1, 5, 2, 6],
easy,[7, 1, 3, 9, 2, 6, 0, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 2, 0, 0, 3, 8, 0, 0, 7, 0, 1, 0, 4, 0, 0, 9, 0, 0, 0, 8, 0, 0, 5, 0, 7, 0, 1, 0, 0, 6, 9, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 6, 8, 1, 9, 2, 7],[7, 1, 3, 9, 2, 6, 5, 4, 8, 9, 6, 2, 4, 5, 8, 7, 3, 1, 8, 5, 4, 1, 3, 7, 2, 9, 6, 3, 8, 6, 2, 7, 9, 1, 5, 4, 1, 4, 9, 3, 6, 5, 8, 7, 2, 5, 2, 7, 8, 1, 4, 3, 6, 9, 6, 7, 8, 5, 9, 2, 4, 1, 3, 2, 9, 1, 7, 4, 3, 6, 8, 5, 4, 3, 5, 6, 8, 1, 9, 2, 7],
easy,[0, 0, 8, 1, 0, 0, 0, 0, 7, 0, 7, 0, 3, 8, 9, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 4, 0, 7, 0, 0, 4, 5, 0, 3, 0, 6, 5, 4, 6, 0, 0, 0, 7, 8, 1, 1, 0, 3, 0, 6, 7, 0, 0, 2, 0, 3, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 5, 3, 8, 0, 1, 0, 2, 0, 0, 0, 0, 4, 5, 0, 0],[3, 2, 8, 1, 4, 5, 9, 6, 7, 6, 7, 4, 3, 8, 9, 1, 2, 5, 9, 5, 1, 7, 2, 6, 8, 4, 3, 7, 8, 2, 4, 5, 1, 3, 9, 6, 5, 4, 6, 2, 9, 3, 7, 8, 1, 1, 9, 3, 8, 6, 7, 4, 5, 2, 8, 3, 5, 9, 1, 2, 6, 7, 4, 4, 6, 7, 5, 3, 8, 2, 1, 9, 2, 1, 9, 6, 7, 4, 5, 3, 8],
hard,[3, 0, 4, 0, 1, 0, 9, 6, 8, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 6, 9, 4, 0, 0, 1, 0, 2, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 9, 0, 7, 4, 5, 0, 8, 0, 0, 3, 0, 0, 0, 0, 7, 0, 0, 6, 0, 1, 0, 0, 8, 4, 9, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 5, 3, 0, 9, 0, 8, 0, 1],[3, 7, 4, 5, 1, 2, 9, 6, 8, 2, 1, 5, 8, 6, 9, 3, 7, 4, 8, 6, 9, 4, 3, 7, 1, 5, 2, 5, 8, 7, 1, 2, 3, 6, 4, 9, 1, 9, 6, 7, 4, 5, 2, 8, 3, 4, 3, 2, 9, 8, 6, 7, 1, 5, 6, 2, 1, 3, 5, 8, 4, 9, 7, 9, 4, 8, 2, 7, 1, 5, 3, 6, 7, 5, 3, 6, 9, 4, 8, 2, 1],
easy,[0, 0, 0, 9, 0, 0, 2, 0, 0, 8, 7, 0, 0, 0, 0, 0, 4, 6, 0, 0, 9, 4, 8, 6, 0, 0, 0, 1, 0, 0, 0, 4, 5, 3, 0, 9, 4, 3, 0, 0, 0, 0, 0, 5, 7, 7, 0, 5, 3, 2, 0, 0, 0, 4, 0, 0, 0, 5, 6, 2, 4, 0, 0, 6, 2, 0, 0, 0, 0, 0, 9, 1, 0, 0, 8, 0, 0, 7, 0, 0, 0],[3, 6, 4, 9, 7, 1, 2, 8, 5, 8, 7, 1, 2, 5, 3, 9, 4, 6, 2, 5, 9, 4, 8, 6, 7, 1, 3, 1, 8, 6, 7, 4, 5, 3, 2, 9, 4, 3, 2, 6, 1, 9, 8, 5, 7, 7, 9, 5, 3, 2, 8, 1, 6, 4, 9, 1, 3, 5, 6, 2, 4, 7, 8, 6, 2, 7, 8, 3, 4, 5, 9, 1, 5, 4, 8, 1, 9, 7, 6, 3, 2],
easy,[0, 7, 1, 0, 0, 0, 0, 8, 4, 0, 6, 0, 3, 7, 0, 0, 1, 2, 0, 3, 0, 0, 4, 0, 0, 6, 0, 1, 9, 0, 2, 0, 0, 8, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 0, 1, 0, 9, 6, 0, 1, 0, 0, 8, 0, 0, 3, 0, 2, 8, 0, 0, 9, 3, 0, 5, 0, 9, 5, 0, 0, 0, 0, 7, 4, 0],[5, 7, 1, 9, 2, 6, 3, 8, 4, 4, 6, 9, 3, 7, 8, 5, 1, 2, 8, 3, 2, 1, 4, 5, 9, 6, 7, 1, 9, 6, 2, 3, 4, 8, 7, 5, 7, 4, 5, 8, 6, 9, 1, 2, 3, 3, 2, 8, 7, 5, 1, 4, 9, 6, 6, 1, 4, 5, 8, 7, 2, 3, 9, 2, 8, 7, 4, 9, 3, 6, 5, 1, 9, 5, 3, 6, 1, 2, 7, 4, 8],
hard,[6, 9, 0, 0, 7, 2, 5, 0, 8, 0, 4, 2, 0, 9, 0, 0, 0, 0, 0, 0, 5, 3, 0, 6, 0, 0, 9, 5, 0, 8, 9, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 8, 0, 0, 7, 0, 0, 0, 0, 0, 4, 8, 0, 3, 3, 0, 0, 7, 0, 1, 6, 0, 0, 0, 0, 0, 0, 8, 0, 7, 3, 0, 7, 0, 4, 2, 5, 0, 0, 8, 1],[6, 9, 3, 4, 7, 2, 5, 1, 8, 1, 4, 2, 8, 9, 5, 3, 7, 6, 8, 7, 5, 3, 1, 6, 2, 4, 9, 5, 1, 8, 9, 3, 7, 4, 6, 2, 4, 3, 6, 5, 2, 8, 1, 9, 7, 9, 2, 7, 1, 6, 4, 8, 5, 3, 3, 8, 9, 7, 4, 1, 6, 2, 5, 2, 5, 1, 6, 8, 9, 7, 3, 4, 7, 6, 4, 2, 5, 3, 9, 8, 1],
easy,[0, 1, 6, 4, 7, 9, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 0, 6, 0, 0, 0, 8, 0, 6, 0, 4, 0, 1, 0, 0, 9, 0, 0, 6, 5, 4, 5, 0, 0, 0, 0, 0, 0, 0, 7, 9, 6, 4, 0, 0, 3, 0, 0, 8, 0, 2, 0, 5, 0, 1, 0, 0, 0, 7, 0, 0, 2, 0, 0, 9, 0, 0, 0, 0, 0, 6, 4, 7, 8, 2, 0],[8, 1, 6, 4, 7, 9, 5, 3, 2, 4, 9, 7, 3, 2, 5, 1, 8, 6, 2, 3, 5, 8, 1, 6, 7, 4, 9, 1, 7, 3, 9, 8, 2, 6, 5, 4, 5, 8, 2, 1, 6, 4, 3, 9, 7, 9, 6, 4, 7, 5, 3, 2, 1, 8, 6, 2, 8, 5, 9, 1, 4, 7, 3, 7, 4, 1, 2, 3, 8, 9, 6, 5, 3, 5, 9, 6, 4, 7, 8, 2, 1],
easy,[0, 0, 0, 9, 3, 5, 1, 0, 0, 8, 3, 0, 0, 0, 1, 0, 0, 9, 0, 2, 0, 8, 6, 0, 0, 0, 7, 0, 5, 0, 0, 9, 0, 0, 0, 6, 0, 7, 3, 0, 0, 0, 2, 9, 0, 9, 0, 0, 0, 4, 0, 0, 7, 0, 5, 0, 0, 0, 7, 6, 0, 4, 0, 3, 0, 0, 4, 0, 0, 0, 1, 5, 0, 0, 6, 1, 5, 9, 0, 0, 0],[7, 6, 4, 9, 3, 5, 1, 2, 8, 8, 3, 5, 7, 2, 1, 4, 6, 9, 1, 2, 9, 8, 6, 4, 3, 5, 7, 4, 5, 1, 2, 9, 7, 8, 3, 6, 6, 7, 3, 5, 1, 8, 2, 9, 4, 9, 8, 2, 6, 4, 3, 5, 7, 1, 5, 1, 8, 3, 7, 6, 9, 4, 2, 3, 9, 7, 4, 8, 2, 6, 1, 5, 2, 4, 6, 1, 5, 9, 7, 8, 3],
medium,[0, 0, 3, 0, 0, 0, 4, 6, 9, 0, 0, 2, 9, 3, 4, 1, 8, 0, 0, 0, 4, 8, 0, 0, 0, 0, 3, 0, 0, 9, 4, 6, 0, 0, 0, 0, 0, 2, 0, 3, 0, 7, 0, 1, 0, 0, 0, 0, 0, 9, 2, 6, 0, 0, 5, 0, 0, 0, 0, 1, 3, 0, 0, 0, 3, 1, 2, 4, 9, 7, 0, 0, 2, 9, 6, 0, 0, 0, 8, 0, 0],[1, 8, 3, 7, 2, 5, 4, 6, 9, 7, 6, 2, 9, 3, 4, 1, 8, 5, 9, 5, 4, 8, 1, 6, 2, 7, 3, 3, 1, 9, 4, 6, 8, 5, 2, 7, 6, 2, 8, 3, 5, 7, 9, 1, 4, 4, 7, 5, 1, 9, 2, 6, 3, 8, 5, 4, 7, 6, 8, 1, 3, 9, 2, 8, 3, 1, 2, 4, 9, 7, 5, 6, 2, 9, 6, 5, 7, 3, 8, 4, 1],
hard,[0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 6, 3, 0, 5, 0, 0, 9, 2, 0, 5, 1, 0, 4, 7, 0, 5, 0, 0, 3, 0, 0, 0, 0, 0, 3, 1, 0, 2, 0, 9, 8, 0, 0, 0, 0, 0, 7, 0, 0, 3, 0, 4, 1, 0, 7, 8, 0, 5, 6, 0, 0, 7, 0, 6, 9, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 8, 0, 0],[5, 8, 6, 2, 4, 7, 1, 9, 3, 1, 4, 7, 9, 6, 3, 2, 5, 8, 3, 9, 2, 8, 5, 1, 6, 4, 7, 8, 5, 4, 1, 3, 9, 7, 2, 6, 7, 3, 1, 4, 2, 6, 9, 8, 5, 6, 2, 9, 5, 7, 8, 4, 3, 1, 4, 1, 3, 7, 8, 2, 5, 6, 9, 2, 7, 8, 6, 9, 5, 3, 1, 4, 9, 6, 5, 3, 1, 4, 8, 7, 2],
easy,[6, 0, 0, 0, 4, 9, 0, 0, 8, 1, 0, 0, 2, 6, 0, 4, 0, 0, 0, 4, 5, 7, 0, 0, 3, 6, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 9, 6, 0, 0, 4, 1, 3, 0, 0, 0, 1, 0, 5, 3, 0, 0, 7, 7, 0, 0, 6, 2, 0, 0, 0, 4],[6, 2, 7, 3, 4, 9, 5, 1, 8, 1, 3, 8, 2, 6, 5, 4, 7, 9, 9, 4, 5, 7, 1, 8, 3, 6, 2, 8, 1, 2, 5, 9, 6, 7, 4, 3, 3, 7, 4, 1, 8, 2, 9, 5, 6, 5, 6, 9, 4, 3, 7, 2, 8, 1, 2, 9, 6, 8, 7, 4, 1, 3, 5, 4, 8, 1, 9, 5, 3, 6, 2, 7, 7, 5, 3, 6, 2, 1, 8, 9, 4],
easy,[7, 0, 3, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 7, 6, 0, 3, 8, 0, 1, 0, 0, 0, 8, 7, 4, 2, 0, 0, 7, 6, 2, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 5, 0, 6, 0, 0, 0, 0, 4, 3, 9, 0, 0, 3, 6, 2, 8, 0, 0, 0, 1, 0, 5, 7, 0, 2, 3, 0, 0, 0, 0, 0, 0, 8, 0, 0, 1, 2, 0, 3],[7, 8, 3, 4, 1, 2, 6, 9, 5, 2, 4, 5, 9, 7, 6, 1, 3, 8, 6, 1, 9, 3, 5, 8, 7, 4, 2, 1, 5, 7, 6, 2, 9, 3, 8, 4, 9, 3, 4, 1, 8, 7, 5, 2, 6, 8, 2, 6, 5, 4, 3, 9, 7, 1, 3, 6, 2, 8, 9, 5, 4, 1, 7, 5, 7, 1, 2, 3, 4, 8, 6, 9, 4, 9, 8, 7, 6, 1, 2, 5, 3],
medium,[0, 0, 8, 0, 0, 6, 3, 1, 0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 2, 1, 0, 4, 9, 0, 2, 5, 7, 0, 6, 0, 5, 0, 4, 0, 2, 0, 1, 0, 2, 9, 7, 0, 5, 4, 0, 3, 9, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 8, 1, 2, 0, 0, 6, 0, 0],[5, 9, 8, 4, 2, 6, 3, 1, 7, 2, 4, 7, 1, 3, 8, 9, 5, 6, 3, 1, 6, 5, 9, 7, 8, 4, 2, 1, 3, 4, 9, 6, 2, 5, 7, 8, 6, 7, 5, 8, 4, 3, 2, 9, 1, 8, 2, 9, 7, 1, 5, 4, 6, 3, 9, 6, 2, 3, 7, 4, 1, 8, 5, 4, 5, 3, 6, 8, 1, 7, 2, 9, 7, 8, 1, 2, 5, 9, 6, 3, 4],
easy,[3, 0, 0, 1, 0, 7, 0, 9, 8, 4, 0, 0, 0, 2, 0, 1, 6, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 8, 1, 9, 0, 0, 0, 9, 5, 8, 0, 0, 0, 9, 8, 2, 0, 4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 0, 6, 3, 0, 7, 0, 0, 0, 1, 1, 7, 0, 5, 0, 2, 0, 0, 6],[3, 2, 5, 1, 6, 7, 4, 9, 8, 4, 9, 8, 3, 2, 5, 1, 6, 7, 7, 1, 6, 8, 9, 4, 3, 2, 5, 5, 4, 7, 2, 3, 6, 8, 1, 9, 6, 3, 1, 9, 5, 8, 2, 7, 4, 9, 8, 2, 7, 4, 1, 6, 5, 3, 8, 5, 9, 6, 1, 3, 7, 4, 2, 2, 6, 3, 4, 7, 9, 5, 8, 1, 1, 7, 4, 5, 8, 2, 9, 3, 6],
easy,[8, 0, 0, 0, 0, 6, 0, 0, 0, 7, 9, 0, 3, 1, 8, 4, 0, 0, 0, 0, 4, 0, 9, 0, 0, 3, 0, 5, 0, 7, 0, 8, 0, 0, 0, 3, 0, 4, 9, 5, 0, 1, 2, 8, 0, 1, 0, 0, 0, 7, 0, 9, 0, 5, 0, 8, 0, 0, 5, 0, 3, 0, 0, 0, 0, 1, 4, 2, 9, 0, 7, 6, 0, 0, 0, 8, 0, 0, 0, 0, 1],[8, 1, 3, 2, 4, 6, 7, 5, 9, 7, 9, 5, 3, 1, 8, 4, 6, 2, 2, 6, 4, 7, 9, 5, 1, 3, 8, 5, 2, 7, 9, 8, 4, 6, 1, 3, 6, 4, 9, 5, 3, 1, 2, 8, 7, 1, 3, 8, 6, 7, 2, 9, 4, 5, 9, 8, 6, 1, 5, 7, 3, 2, 4, 3, 5, 1, 4, 2, 9, 8, 7, 6, 4, 7, 2, 8, 6, 3, 5, 9, 1],
medium,[2, 0, 3, 0, 8, 0, 6, 0, 5, 0, 0, 6, 0, 2, 3, 0, 1, 7, 0, 0, 0, 0, 9, 0, 4, 0, 0, 7, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 4, 5, 2, 0, 7, 0, 0, 3, 2, 0, 0, 0, 0, 0, 6, 0, 0, 7, 0, 1, 0, 0, 0, 0, 1, 9, 0, 6, 4, 0, 2, 0, 0, 8, 0, 4, 0, 3, 0, 7, 0, 1],[2, 7, 3, 1, 8, 4, 6, 9, 5, 9, 4, 6, 5, 2, 3, 8, 1, 7, 5, 8, 1, 7, 9, 6, 4, 3, 2, 7, 5, 8, 3, 6, 9, 1, 2, 4, 6, 1, 9, 4, 5, 2, 3, 7, 8, 4, 3, 2, 8, 7, 1, 9, 5, 6, 3, 6, 7, 2, 1, 8, 5, 4, 9, 1, 9, 5, 6, 4, 7, 2, 8, 3, 8, 2, 4, 9, 3, 5, 7, 6, 1],
medium,[0, 0, 5, 7, 0, 8, 0, 0, 4, 0, 1, 0, 0, 0, 0, 5, 0, 0, 6, 4, 0, 0, 0, 3, 0, 0, 7, 4, 9, 0, 6, 0, 0, 2, 0, 0, 7, 0, 3, 0, 0, 0, 9, 0, 5, 0, 0, 2, 0, 0, 4, 0, 3, 6, 3, 0, 0, 1, 0, 0, 0, 5, 2, 0, 0, 4, 0, 0, 0, 0, 1, 0, 9, 0, 0, 3, 0, 7, 4, 0, 0],[2, 3, 5, 7, 1, 8, 6, 9, 4, 8, 1, 7, 4, 9, 6, 5, 2, 3, 6, 4, 9, 5, 2, 3, 1, 8, 7, 4, 9, 8, 6, 3, 5, 2, 7, 1, 7, 6, 3, 2, 8, 1, 9, 4, 5, 1, 5, 2, 9, 7, 4, 8, 3, 6, 3, 8, 6, 1, 4, 9, 7, 5, 2, 5, 7, 4, 8, 6, 2, 3, 1, 9, 9, 2, 1, 3, 5, 7, 4, 6, 8],
hard,[0, 6, 9, 7, 5, 0, 0, 0, 2, 0, 3, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 4, 1, 0, 5, 4, 0, 6, 0, 0, 0, 0, 1, 8, 0, 0, 3, 0, 0, 0, 5, 0, 0, 2, 8, 0, 0, 0, 0, 9, 0, 3, 9, 0, 8, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 8, 0, 3, 0, 0, 0, 2, 9, 4, 7, 0],[1, 6, 9, 7, 5, 3, 8, 4, 2, 5, 3, 4, 1, 8, 2, 6, 9, 7, 8, 2, 7, 6, 9, 4, 1, 3, 5, 4, 9, 6, 2, 3, 5, 7, 1, 8, 7, 1, 3, 9, 6, 8, 5, 2, 4, 2, 8, 5, 4, 7, 1, 9, 6, 3, 9, 7, 8, 3, 4, 6, 2, 5, 1, 6, 4, 2, 5, 1, 7, 3, 8, 9, 3, 5, 1, 8, 2, 9, 4, 7, 6],
medium,[9, 3, 0, 4, 0, 0, 6, 0, 0, 8, 2, 7, 0, 0, 0, 0, 9, 3, 5, 4, 0, 0, 0, 9, 0, 0, 0, 0, 5, 4, 0, 1, 0, 7, 0, 0, 0, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 8, 0, 6, 0, 3, 4, 0, 0, 0, 0, 6, 0, 0, 0, 3, 7, 7, 9, 0, 0, 0, 0, 5, 2, 6, 0, 0, 5, 0, 0, 3, 0, 1, 4],[9, 3, 1, 4, 8, 7, 6, 5, 2, 8, 2, 7, 1, 5, 6, 4, 9, 3, 5, 4, 6, 2, 3, 9, 1, 7, 8, 2, 5, 4, 3, 1, 8, 7, 6, 9, 3, 6, 9, 5, 7, 4, 2, 8, 1, 1, 7, 8, 9, 6, 2, 3, 4, 5, 4, 1, 2, 6, 9, 5, 8, 3, 7, 7, 9, 3, 8, 4, 1, 5, 2, 6, 6, 8, 5, 7, 2, 3, 9, 1, 4],
easy,[0, 8, 1, 0, 0, 4, 0, 0, 0, 0, 9, 2, 1, 8, 0, 0, 0, 4, 0, 0, 0, 9, 0, 6, 8, 0, 2, 0, 5, 3, 0, 0, 0, 0, 0, 8, 2, 0, 7, 0, 0, 0, 6, 0, 9, 9, 0, 0, 0, 0, 0, 2, 3, 0, 7, 0, 6, 4, 0, 8, 0, 0, 0, 5, 0, 0, 0, 7, 2, 9, 8, 0, 0, 0, 0, 5, 0, 0, 3, 4, 0],[6, 8, 1, 2, 5, 4, 7, 9, 3, 3, 9, 2, 1, 8, 7, 5, 6, 4, 4, 7, 5, 9, 3, 6, 8, 1, 2, 1, 5, 3, 6, 2, 9, 4, 7, 8, 2, 4, 7, 8, 1, 3, 6, 5, 9, 9, 6, 8, 7, 4, 5, 2, 3, 1, 7, 3, 6, 4, 9, 8, 1, 2, 5, 5, 1, 4, 3, 7, 2, 9, 8, 6, 8, 2, 9, 5, 6, 1, 3, 4, 7],
hard,[8, 3, 5, 0, 0, 0, 9, 7, 0, 0, 0, 0, 0, 0, 7, 3, 0, 0, 1, 0, 9, 8, 3, 5, 0, 0, 0, 4, 0, 2, 5, 0, 0, 1, 0, 0, 0, 0, 0, 6, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 3, 7, 0, 5, 0, 0, 0, 3, 6, 4, 5, 0, 2, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 6, 8, 3],[8, 3, 5, 2, 4, 6, 9, 7, 1, 2, 4, 6, 9, 1, 7, 3, 5, 8, 1, 7, 9, 8, 3, 5, 2, 6, 4, 4, 8, 2, 5, 7, 9, 1, 3, 6, 3, 5, 7, 6, 2, 1, 8, 4, 9, 9, 6, 1, 4, 8, 3, 7, 2, 5, 7, 9, 8, 3, 6, 4, 5, 1, 2, 6, 2, 3, 1, 5, 8, 4, 9, 7, 5, 1, 4, 7, 9, 2, 6, 8, 3],
hard,[0, 2, 0, 8, 0, 0, 0, 0, 9, 0, 0, 0, 6, 7, 2, 8, 0, 4, 0, 0, 8, 5, 0, 3, 0, 0, 0, 7, 9, 6, 0, 0, 1, 0, 4, 0, 0, 5, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 9, 0, 0, 5, 7, 6, 0, 0, 0, 4, 0, 6, 7, 0, 0, 6, 0, 3, 7, 2, 9, 0, 0, 0, 2, 0, 0, 0, 0, 5, 0, 6, 0],[3, 2, 7, 8, 1, 4, 6, 5, 9, 9, 1, 5, 6, 7, 2, 8, 3, 4, 4, 6, 8, 5, 9, 3, 2, 1, 7, 7, 9, 6, 2, 5, 1, 3, 4, 8, 8, 5, 4, 3, 6, 7, 9, 2, 1, 1, 3, 2, 9, 4, 8, 5, 7, 6, 5, 8, 1, 4, 3, 6, 7, 9, 2, 6, 4, 3, 7, 2, 9, 1, 8, 5, 2, 7, 9, 1, 8, 5, 4, 6, 3],
easy,[7, 0, 2, 9, 4, 0, 0, 5, 0, 0, 3, 0, 2, 0, 1, 0, 0, 0, 0, 6, 9, 0, 7, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 1, 0, 5, 5, 1, 0, 0, 9, 0, 0, 7, 2, 2, 0, 6, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0, 2, 0, 7, 1, 0, 0, 0, 0, 1, 0, 9, 0, 4, 0, 0, 9, 0, 0, 5, 4, 3, 0, 8],[7, 8, 2, 9, 4, 3, 6, 5, 1, 4, 3, 5, 2, 6, 1, 9, 8, 7, 1, 6, 9, 8, 7, 5, 2, 3, 4, 9, 7, 3, 4, 8, 2, 1, 6, 5, 5, 1, 8, 3, 9, 6, 4, 7, 2, 2, 4, 6, 5, 1, 7, 8, 9, 3, 3, 5, 4, 6, 2, 8, 7, 1, 9, 8, 2, 7, 1, 3, 9, 5, 4, 6, 6, 9, 1, 7, 5, 4, 3, 2, 8],
easy,[0, 0, 0, 0, 0, 0, 0, 6, 4, 2, 8, 0, 1, 4, 5, 0, 0, 9, 7, 5, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 1, 2, 0, 0, 8, 0, 0, 1, 0, 8, 0, 3, 0, 0, 3, 0, 0, 5, 6, 0, 0, 0, 7, 0, 0, 0, 9, 0, 0, 0, 2, 1, 6, 0, 0, 2, 3, 1, 0, 7, 5, 1, 7, 0, 0, 0, 0, 0, 0, 0],[9, 1, 3, 8, 2, 7, 5, 6, 4, 2, 8, 6, 1, 4, 5, 7, 3, 9, 7, 5, 4, 6, 9, 3, 1, 8, 2, 4, 6, 7, 3, 1, 2, 9, 5, 8, 5, 2, 1, 7, 8, 9, 3, 4, 6, 3, 9, 8, 5, 6, 4, 2, 1, 7, 8, 3, 5, 9, 7, 6, 4, 2, 1, 6, 4, 9, 2, 3, 1, 8, 7, 5, 1, 7, 2, 4, 5, 8, 6, 9, 3],
hard,[6, 3, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 7, 0, 0, 0, 4, 2, 5, 3, 0, 0, 9, 0, 0, 6, 0, 9, 0, 0, 0, 0, 0, 5, 9, 8, 7, 0, 3, 1, 6, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 2, 0, 0, 8, 1, 9, 7, 0, 0, 0, 7, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 8, 3, 4],[6, 3, 5, 1, 7, 9, 4, 2, 8, 1, 8, 9, 4, 2, 6, 7, 5, 3, 7, 4, 2, 5, 3, 8, 6, 9, 1, 2, 6, 4, 9, 1, 5, 3, 8, 7, 5, 9, 8, 7, 4, 3, 1, 6, 2, 3, 7, 1, 8, 6, 2, 5, 4, 9, 4, 2, 3, 6, 8, 1, 9, 7, 5, 8, 5, 7, 3, 9, 4, 2, 1, 6, 9, 1, 6, 2, 5, 7, 8, 3, 4],
easy,[8, 0, 4, 3, 0, 5, 0, 0, 1, 0, 6, 0, 8, 0, 0, 0, 3, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 6, 0, 0, 0, 0, 7, 0, 1, 2, 3, 0, 8, 2, 4, 1, 6, 0, 7, 2, 7, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 7, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 8, 0, 4, 0, 0, 1, 0, 6, 9, 0, 5],[8, 9, 4, 3, 6, 5, 7, 2, 1, 7, 6, 2, 8, 1, 4, 5, 3, 9, 1, 3, 5, 9, 7, 2, 8, 6, 4, 6, 4, 9, 5, 8, 7, 3, 1, 2, 3, 5, 8, 2, 4, 1, 6, 9, 7, 2, 7, 1, 6, 3, 9, 4, 5, 8, 5, 2, 6, 7, 9, 8, 1, 4, 3, 9, 1, 7, 4, 5, 3, 2, 8, 6, 4, 8, 3, 1, 2, 6, 9, 7, 5],
easy,[3, 0, 0, 0, 9, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 2, 0, 3, 4, 7, 0, 9, 0, 1, 5, 3, 0, 0, 0, 2, 3, 0, 5, 9, 0, 0, 0, 5, 3, 8, 0, 4, 0, 6, 2, 1, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 1],[3, 6, 1, 5, 9, 2, 8, 7, 4, 2, 4, 7, 1, 3, 8, 6, 5, 9, 5, 8, 9, 7, 4, 6, 2, 1, 3, 4, 7, 6, 9, 2, 1, 5, 3, 8, 8, 1, 2, 3, 6, 5, 9, 4, 7, 9, 5, 3, 8, 7, 4, 1, 6, 2, 1, 9, 5, 4, 8, 7, 3, 2, 6, 6, 3, 4, 2, 1, 9, 7, 8, 5, 7, 2, 8, 6, 5, 3, 4, 9, 1],
easy,[1, 0, 4, 0, 0, 5, 0, 6, 0, 0, 5, 0, 1, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 6, 1, 0, 5, 7, 1, 2, 0, 0, 3, 4, 0, 0, 0, 8, 0, 2, 0, 4, 0, 1, 0, 0, 0, 6, 7, 0, 0, 5, 2, 9, 2, 0, 1, 5, 0, 0, 6, 0, 0, 5, 0, 0, 0, 0, 8, 0, 7, 0, 0, 6, 0, 3, 0, 0, 2, 0, 4],[1, 9, 4, 8, 3, 5, 7, 6, 2, 6, 5, 7, 1, 9, 2, 8, 4, 3, 3, 2, 8, 4, 7, 6, 1, 9, 5, 7, 1, 2, 9, 5, 3, 4, 8, 6, 9, 8, 5, 2, 6, 4, 3, 1, 7, 4, 3, 6, 7, 8, 1, 5, 2, 9, 2, 7, 1, 5, 4, 9, 6, 3, 8, 5, 4, 3, 6, 2, 8, 9, 7, 1, 8, 6, 9, 3, 1, 7, 2, 5, 4],
easy,[0, 0, 0, 2, 0, 4, 0, 0, 5, 3, 0, 0, 0, 6, 7, 0, 0, 1, 0, 9, 0, 1, 0, 0, 0, 4, 0, 6, 2, 0, 4, 3, 0, 1, 0, 0, 9, 8, 0, 0, 5, 0, 0, 2, 4, 0, 0, 3, 0, 2, 1, 0, 5, 6, 0, 5, 0, 0, 0, 2, 0, 1, 0, 7, 0, 0, 3, 4, 0, 0, 0, 8, 2, 0, 0, 8, 0, 9, 0, 0, 0],[1, 6, 8, 2, 9, 4, 7, 3, 5, 3, 4, 2, 5, 6, 7, 9, 8, 1, 5, 9, 7, 1, 8, 3, 6, 4, 2, 6, 2, 5, 4, 3, 8, 1, 7, 9, 9, 8, 1, 7, 5, 6, 3, 2, 4, 4, 7, 3, 9, 2, 1, 8, 5, 6, 8, 5, 9, 6, 7, 2, 4, 1, 3, 7, 1, 6, 3, 4, 5, 2, 9, 8, 2, 3, 4, 8, 1, 9, 5, 6, 7],
easy,[0, 0, 0, 0, 0, 0, 9, 4, 0, 6, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 9, 5, 0, 1, 0, 0, 4, 0, 5, 2, 6, 7, 9, 0, 0, 0, 1, 0, 4, 0, 0, 0, 8, 5, 9, 6, 3, 0, 4, 0, 0, 7, 0, 3, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 8, 0, 6, 0, 6, 2, 0, 0, 0, 0, 0, 0],[5, 2, 1, 7, 6, 3, 9, 4, 8, 6, 9, 8, 4, 1, 5, 2, 3, 7, 4, 3, 7, 2, 8, 9, 5, 6, 1, 3, 1, 4, 8, 5, 2, 6, 7, 9, 2, 7, 6, 1, 9, 4, 3, 8, 5, 8, 5, 9, 6, 3, 7, 4, 1, 2, 7, 8, 3, 9, 2, 6, 1, 5, 4, 9, 4, 5, 3, 7, 1, 8, 2, 6, 1, 6, 2, 5, 4, 8, 7, 9, 3],
hard,[7, 0, 0, 2, 0, 0, 0, 1, 0, 6, 4, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 3, 5, 6, 8, 0, 9, 0, 0, 0, 0, 2, 0, 7, 0, 0, 6, 7, 3, 0, 8, 1, 4, 0, 0, 3, 0, 9, 0, 0, 0, 0, 2, 0, 2, 9, 6, 8, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 2, 6, 0, 7, 0, 0, 0, 1, 0, 0, 3],[7, 8, 3, 2, 4, 6, 9, 1, 5, 6, 4, 5, 8, 1, 9, 2, 3, 7, 1, 9, 2, 7, 3, 5, 6, 8, 4, 9, 5, 4, 1, 6, 2, 3, 7, 8, 2, 6, 7, 3, 5, 8, 1, 4, 9, 8, 3, 1, 9, 7, 4, 5, 6, 2, 4, 2, 9, 6, 8, 3, 7, 5, 1, 3, 1, 8, 5, 9, 7, 4, 2, 6, 5, 7, 6, 4, 2, 1, 8, 9, 3],
easy,[6, 7, 3, 5, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 7, 0, 0, 0, 0, 5, 0, 1, 0, 0, 6, 3, 0, 0, 4, 1, 0, 6, 3, 0, 0, 9, 0, 0, 8, 2, 3, 0, 0, 4, 0, 0, 7, 9, 0, 5, 1, 0, 0, 4, 1, 0, 0, 8, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 1, 2, 3, 9],[6, 7, 3, 5, 9, 4, 8, 1, 2, 1, 9, 8, 6, 3, 2, 7, 4, 5, 2, 4, 5, 7, 1, 8, 9, 6, 3, 5, 2, 4, 1, 7, 6, 3, 9, 8, 9, 6, 1, 8, 2, 3, 5, 7, 4, 8, 3, 7, 9, 4, 5, 1, 2, 6, 4, 1, 2, 3, 8, 9, 6, 5, 7, 3, 5, 9, 2, 6, 7, 4, 8, 1, 7, 8, 6, 4, 5, 1, 2, 3, 9],
hard,[6, 0, 0, 1, 3, 0, 0, 0, 0, 0, 5, 7, 0, 0, 6, 0, 3, 0, 0, 4, 3, 7, 2, 0, 8, 1, 0, 0, 6, 0, 0, 4, 0, 5, 0, 0, 3, 0, 4, 0, 0, 0, 6, 0, 7, 0, 0, 2, 0, 6, 0, 0, 8, 0, 0, 9, 6, 0, 7, 3, 1, 4, 0, 0, 3, 0, 6, 0, 0, 2, 7, 0, 0, 0, 0, 0, 9, 4, 0, 0, 5],[6, 2, 8, 1, 3, 9, 7, 5, 4, 1, 5, 7, 4, 8, 6, 9, 3, 2, 9, 4, 3, 7, 2, 5, 8, 1, 6, 8, 6, 9, 3, 4, 7, 5, 2, 1, 3, 1, 4, 8, 5, 2, 6, 9, 7, 5, 7, 2, 9, 6, 1, 4, 8, 3, 2, 9, 6, 5, 7, 3, 1, 4, 8, 4, 3, 5, 6, 1, 8, 2, 7, 9, 7, 8, 1, 2, 9, 4, 3, 6, 5],
hard,[0, 6, 4, 1, 0, 0, 0, 8, 0, 0, 2, 3, 0, 0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 9, 6, 3, 0, 0, 6, 9, 3, 0, 2, 0, 0, 0, 9, 0, 0, 5, 0, 0, 7, 0, 0, 0, 5, 0, 6, 2, 1, 0, 0, 1, 5, 9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 8, 3, 0, 0, 3, 0, 0, 0, 9, 7, 5, 0],[7, 6, 4, 1, 9, 3, 5, 8, 2, 9, 2, 3, 6, 8, 5, 4, 1, 7, 5, 8, 1, 7, 2, 4, 9, 6, 3, 8, 1, 6, 9, 3, 7, 2, 4, 5, 4, 9, 2, 8, 5, 1, 3, 7, 6, 3, 7, 5, 4, 6, 2, 1, 9, 8, 1, 5, 9, 3, 7, 8, 6, 2, 4, 2, 4, 7, 5, 1, 6, 8, 3, 9, 6, 3, 8, 2, 4, 9, 7, 5, 1],
hard,[0, 6, 0, 9, 0, 0, 0, 7, 0, 5, 0, 0, 2, 0, 8, 0, 0, 0, 2, 7, 4, 0, 0, 3, 9, 0, 0, 0, 8, 0, 0, 3, 1, 5, 2, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 4, 2, 7, 9, 0, 0, 6, 0, 0, 0, 1, 5, 0, 0, 4, 3, 9, 0, 0, 0, 3, 0, 9, 0, 0, 2, 0, 3, 0, 0, 0, 6, 0, 5, 0],[1, 6, 8, 9, 5, 4, 2, 7, 3, 5, 9, 3, 2, 7, 8, 1, 4, 6, 2, 7, 4, 6, 1, 3, 9, 8, 5, 9, 8, 6, 4, 3, 1, 5, 2, 7, 7, 1, 5, 8, 6, 2, 3, 9, 4, 3, 4, 2, 7, 9, 5, 8, 6, 1, 6, 2, 1, 5, 8, 7, 4, 3, 9, 8, 5, 7, 3, 4, 9, 6, 1, 2, 4, 3, 9, 1, 2, 6, 7, 5, 8],
hard,[9, 5, 0, 0, 0, 7, 3, 0, 0, 0, 0, 8, 0, 5, 0, 1, 9, 0, 1, 7, 0, 0, 0, 0, 8, 0, 6, 4, 0, 2, 0, 9, 0, 0, 1, 8, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 9, 0, 0, 3, 0, 7, 0, 2, 5, 0, 9, 0, 0, 0, 0, 8, 3, 0, 1, 3, 0, 6, 0, 2, 0, 0, 0, 0, 7, 3, 0, 0, 0, 6, 1],[9, 5, 6, 8, 1, 7, 3, 2, 4, 3, 2, 8, 6, 5, 4, 1, 9, 7, 1, 7, 4, 9, 2, 3, 8, 5, 6, 4, 3, 2, 7, 9, 6, 5, 1, 8, 7, 8, 5, 2, 4, 1, 6, 3, 9, 6, 9, 1, 5, 3, 8, 7, 4, 2, 5, 6, 9, 1, 7, 2, 4, 8, 3, 8, 1, 3, 4, 6, 9, 2, 7, 5, 2, 4, 7, 3, 8, 5, 9, 6, 1],
hard,[0, 0, 0, 4, 0, 9, 7, 0, 0, 3, 4, 0, 5, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 8, 0, 3, 4, 1, 0, 0, 2, 9, 0, 0, 0, 8, 0, 7, 2, 0, 4, 0, 6, 9, 0, 8, 0, 0, 0, 5, 1, 0, 0, 7, 9, 5, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 9, 0, 6, 0, 2, 5, 0, 0, 6, 3, 0, 5, 0, 0, 0],[6, 1, 5, 4, 3, 9, 7, 8, 2, 3, 4, 8, 5, 7, 2, 9, 1, 6, 2, 9, 7, 1, 6, 8, 5, 3, 4, 1, 6, 4, 2, 9, 7, 3, 5, 8, 5, 7, 2, 8, 4, 3, 6, 9, 1, 8, 3, 9, 6, 5, 1, 2, 4, 7, 9, 5, 1, 7, 2, 4, 8, 6, 3, 7, 8, 3, 9, 1, 6, 4, 2, 5, 4, 2, 6, 3, 8, 5, 1, 7, 9],
easy,[0, 2, 0, 6, 3, 0, 5, 7, 0, 0, 0, 8, 9, 0, 4, 0, 0, 0, 0, 0, 6, 2, 0, 7, 0, 3, 0, 5, 3, 9, 0, 0, 0, 1, 0, 0, 0, 6, 0, 5, 0, 9, 0, 4, 0, 0, 0, 2, 0, 0, 0, 6, 5, 9, 0, 9, 0, 7, 0, 5, 8, 0, 0, 0, 0, 0, 1, 0, 6, 4, 0, 0, 0, 4, 5, 0, 9, 3, 0, 1, 0],[9, 2, 4, 6, 3, 1, 5, 7, 8, 3, 7, 8, 9, 5, 4, 2, 6, 1, 1, 5, 6, 2, 8, 7, 9, 3, 4, 5, 3, 9, 4, 6, 2, 1, 8, 7, 8, 6, 7, 5, 1, 9, 3, 4, 2, 4, 1, 2, 3, 7, 8, 6, 5, 9, 6, 9, 1, 7, 4, 5, 8, 2, 3, 7, 8, 3, 1, 2, 6, 4, 9, 5, 2, 4, 5, 8, 9, 3, 7, 1, 6],
easy,[0, 5, 7, 0, 0, 0, 0, 8, 0, 3, 0, 0, 8, 2, 7, 0, 0, 5, 0, 0, 0, 6, 0, 0, 1, 7, 9, 0, 8, 4, 0, 0, 6, 3, 0, 0, 2, 7, 0, 0, 0, 0, 0, 9, 6, 0, 0, 6, 3, 0, 0, 8, 5, 0, 9, 4, 5, 0, 0, 1, 0, 0, 0, 8, 0, 0, 9, 7, 4, 0, 0, 1, 0, 3, 0, 0, 0, 0, 9, 2, 0],[6, 5, 7, 4, 1, 9, 2, 8, 3, 3, 1, 9, 8, 2, 7, 6, 4, 5, 4, 2, 8, 6, 5, 3, 1, 7, 9, 5, 8, 4, 7, 9, 6, 3, 1, 2, 2, 7, 3, 1, 8, 5, 4, 9, 6, 1, 9, 6, 3, 4, 2, 8, 5, 7, 9, 4, 5, 2, 3, 1, 7, 6, 8, 8, 6, 2, 9, 7, 4, 5, 3, 1, 7, 3, 1, 5, 6, 8, 9, 2, 4],
easy,[0, 1, 0, 2, 5, 9, 3, 4, 7, 0, 0, 0, 0, 0, 0, 0, 5, 0, 4, 9, 0, 0, 0, 0, 0, 0, 6, 2, 0, 3, 9, 0, 0, 6, 0, 0, 5, 4, 0, 0, 3, 0, 0, 1, 2, 0, 0, 1, 0, 0, 5, 4, 0, 3, 9, 0, 0, 0, 0, 0, 0, 7, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 5, 4, 6, 9, 1, 0, 3, 0],[6, 1, 8, 2, 5, 9, 3, 4, 7, 3, 2, 7, 4, 6, 8, 9, 5, 1, 4, 9, 5, 1, 7, 3, 8, 2, 6, 2, 7, 3, 9, 1, 4, 6, 8, 5, 5, 4, 9, 8, 3, 6, 7, 1, 2, 8, 6, 1, 7, 2, 5, 4, 9, 3, 9, 3, 6, 5, 8, 2, 1, 7, 4, 1, 8, 2, 3, 4, 7, 5, 6, 9, 7, 5, 4, 6, 9, 1, 2, 3, 8],
medium,[6, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0, 6, 0, 9, 2, 0, 9, 6, 5, 0, 0, 0, 1, 3, 0, 4, 9, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 3, 2, 0, 4, 8, 0, 0, 0, 9, 7, 5, 0, 2, 7, 0, 1, 0, 4, 0, 9, 0, 0, 0, 0, 0, 0, 3, 6, 0, 8, 7],[6, 4, 7, 2, 1, 9, 3, 5, 8, 1, 8, 5, 3, 7, 4, 6, 2, 9, 2, 3, 9, 6, 5, 8, 4, 7, 1, 3, 7, 4, 9, 2, 1, 8, 6, 5, 9, 2, 8, 4, 6, 5, 7, 1, 3, 5, 1, 6, 7, 8, 3, 2, 9, 4, 8, 6, 3, 1, 9, 7, 5, 4, 2, 7, 5, 1, 8, 4, 2, 9, 3, 6, 4, 9, 2, 5, 3, 6, 1, 8, 7],
medium,[7, 0, 5, 0, 0, 0, 0, 0, 0, 3, 6, 9, 0, 0, 7, 1, 0, 0, 4, 8, 0, 0, 6, 9, 0, 0, 5, 9, 4, 0, 0, 0, 6, 2, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 7, 9, 0, 0, 0, 5, 4, 6, 0, 0, 3, 1, 0, 0, 4, 7, 0, 0, 8, 6, 0, 0, 3, 9, 1, 0, 0, 0, 0, 0, 0, 8, 0, 6],[7, 2, 5, 8, 3, 1, 4, 6, 9, 3, 6, 9, 5, 4, 7, 1, 8, 2, 4, 8, 1, 2, 6, 9, 7, 3, 5, 9, 4, 3, 1, 5, 6, 2, 7, 8, 8, 5, 6, 4, 7, 2, 9, 1, 3, 2, 1, 7, 9, 8, 3, 6, 5, 4, 6, 9, 2, 3, 1, 8, 5, 4, 7, 5, 7, 8, 6, 2, 4, 3, 9, 1, 1, 3, 4, 7, 9, 5, 8, 2, 6],
easy,[0, 6, 8, 0, 3, 4, 1, 0, 0, 2, 0, 0, 8, 5, 0, 0, 0, 0, 3, 5, 0, 6, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 4, 0, 0, 0, 0, 0, 0, 0, 3, 7, 1, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 8, 0, 3, 7, 0, 0, 0, 0, 9, 6, 0, 0, 1, 0, 0, 9, 1, 4, 0, 6, 5, 0],[9, 6, 8, 2, 3, 4, 1, 7, 5, 2, 7, 1, 8, 5, 9, 3, 6, 4, 3, 5, 4, 6, 7, 1, 8, 2, 9, 6, 9, 5, 7, 1, 3, 2, 4, 8, 4, 8, 2, 9, 6, 5, 7, 1, 3, 7, 1, 3, 4, 8, 2, 5, 9, 6, 1, 4, 6, 5, 2, 8, 9, 3, 7, 5, 2, 7, 3, 9, 6, 4, 8, 1, 8, 3, 9, 1, 4, 7, 6, 5, 2],
easy,[0, 4, 0, 5, 7, 0, 0, 0, 0, 6, 2, 1, 0, 0, 0, 0, 0, 8, 5, 0, 0, 0, 0, 0, 0, 0, 6, 7, 0, 0, 2, 0, 9, 3, 1, 5, 3, 1, 0, 7, 0, 5, 0, 6, 4, 2, 6, 5, 4, 0, 1, 0, 0, 7, 9, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 6, 5, 9, 0, 0, 0, 0, 5, 3, 0, 2, 0],[8, 4, 3, 5, 7, 6, 1, 9, 2, 6, 2, 1, 3, 9, 4, 5, 7, 8, 5, 9, 7, 1, 2, 8, 4, 3, 6, 7, 8, 4, 2, 6, 9, 3, 1, 5, 3, 1, 9, 7, 8, 5, 2, 6, 4, 2, 6, 5, 4, 3, 1, 9, 8, 7, 9, 5, 8, 6, 1, 2, 7, 4, 3, 1, 3, 2, 8, 4, 7, 6, 5, 9, 4, 7, 6, 9, 5, 3, 8, 2, 1],
hard,[8, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 0, 0, 4, 9, 0, 0, 5, 0, 9, 6, 0, 8, 0, 1, 7, 0, 5, 0, 0, 0, 7, 0, 3, 0, 6, 0, 8, 9, 0, 5, 0, 7, 4, 0, 4, 0, 3, 0, 1, 0, 0, 0, 8, 0, 3, 2, 0, 6, 0, 4, 1, 0, 1, 0, 0, 4, 9, 0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 3],[8, 5, 4, 7, 3, 1, 9, 6, 2, 2, 1, 7, 6, 4, 9, 8, 3, 5, 3, 9, 6, 2, 8, 5, 1, 7, 4, 5, 2, 1, 8, 7, 4, 3, 9, 6, 6, 8, 9, 3, 5, 2, 7, 4, 1, 4, 7, 3, 9, 1, 6, 5, 2, 8, 7, 3, 2, 5, 6, 8, 4, 1, 9, 1, 6, 5, 4, 9, 3, 2, 8, 7, 9, 4, 8, 1, 2, 7, 6, 5, 3],
easy,[7, 0, 5, 8, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 5, 0, 1, 0, 2, 4, 0, 5, 0, 0, 9, 8, 1, 0, 0, 4, 0, 2, 0, 0, 3, 4, 0, 0, 6, 0, 3, 0, 0, 9, 3, 0, 0, 5, 0, 9, 0, 0, 4, 8, 4, 0, 0, 6, 0, 9, 2, 0, 2, 0, 9, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 8, 3, 0, 6],[7, 1, 5, 8, 9, 6, 4, 3, 2, 9, 3, 8, 2, 4, 7, 5, 6, 1, 6, 2, 4, 3, 5, 1, 7, 9, 8, 1, 9, 7, 4, 8, 2, 6, 5, 3, 4, 5, 2, 6, 7, 3, 1, 8, 9, 3, 8, 6, 5, 1, 9, 2, 7, 4, 8, 4, 3, 1, 6, 5, 9, 2, 7, 2, 6, 9, 7, 3, 4, 8, 1, 5, 5, 7, 1, 9, 2, 8, 3, 4, 6],
medium,[1, 5, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 6, 8, 0, 7, 6, 0, 0, 3, 0, 0, 0, 0, 1, 0, 5, 7, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 8, 1, 2, 0, 5, 0, 0, 0, 0, 4, 0, 0, 6, 9, 0, 3, 5, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 4, 8],[1, 5, 6, 7, 3, 2, 4, 8, 9, 4, 2, 3, 5, 9, 8, 1, 7, 6, 8, 9, 7, 6, 4, 1, 3, 2, 5, 6, 3, 1, 8, 5, 7, 2, 9, 4, 2, 7, 5, 4, 6, 9, 8, 3, 1, 9, 4, 8, 1, 2, 3, 5, 6, 7, 7, 8, 4, 2, 1, 6, 9, 5, 3, 5, 6, 9, 3, 8, 4, 7, 1, 2, 3, 1, 2, 9, 7, 5, 6, 4, 8],
hard,[3, 9, 7, 6, 0, 0, 5, 0, 0, 0, 6, 0, 3, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 7, 6, 0, 8, 0, 8, 0, 0, 0, 0, 3, 1, 0, 5, 0, 0, 0, 6, 0, 0, 0, 7, 0, 1, 3, 0, 0, 0, 0, 4, 0, 9, 0, 8, 7, 0, 0, 0, 5, 2, 0, 0, 0, 5, 0, 2, 0, 8, 0, 0, 0, 1, 0, 0, 8, 7, 6, 9],[3, 9, 7, 6, 8, 4, 5, 2, 1, 8, 6, 5, 3, 2, 1, 9, 7, 4, 1, 2, 4, 9, 5, 7, 6, 3, 8, 7, 8, 9, 2, 4, 5, 3, 1, 6, 5, 4, 2, 1, 6, 3, 8, 9, 7, 6, 1, 3, 8, 7, 9, 2, 4, 5, 9, 3, 8, 7, 1, 6, 4, 5, 2, 4, 7, 6, 5, 9, 2, 1, 8, 3, 2, 5, 1, 4, 3, 8, 7, 6, 9],
hard,[2, 0, 0, 0, 0, 0, 0, 5, 0, 8, 4, 1, 0, 6, 5, 0, 0, 9, 0, 0, 6, 0, 0, 0, 0, 1, 7, 4, 0, 5, 8, 7, 0, 0, 0, 0, 0, 0, 7, 5, 0, 3, 2, 0, 0, 0, 0, 0, 0, 4, 6, 7, 0, 5, 7, 8, 0, 0, 0, 0, 6, 0, 0, 9, 0, 0, 1, 3, 0, 5, 8, 2, 0, 1, 0, 0, 0, 0, 0, 0, 4],[2, 7, 9, 3, 8, 1, 4, 5, 6, 8, 4, 1, 7, 6, 5, 3, 2, 9, 3, 5, 6, 4, 9, 2, 8, 1, 7, 4, 2, 5, 8, 7, 9, 1, 6, 3, 6, 9, 7, 5, 1, 3, 2, 4, 8, 1, 3, 8, 2, 4, 6, 7, 9, 5, 7, 8, 2, 9, 5, 4, 6, 3, 1, 9, 6, 4, 1, 3, 7, 5, 8, 2, 5, 1, 3, 6, 2, 8, 9, 7, 4],
hard,[0, 0, 0, 2, 0, 5, 0, 4, 0, 0, 0, 0, 0, 3, 0, 2, 0, 9, 0, 6, 2, 0, 0, 1, 0, 8, 3, 0, 9, 0, 1, 5, 0, 8, 0, 4, 0, 0, 6, 9, 0, 2, 7, 0, 0, 5, 0, 1, 0, 8, 3, 0, 6, 0, 6, 7, 0, 3, 0, 0, 1, 9, 0, 8, 0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 8, 0, 7, 0, 0, 0],[1, 3, 8, 2, 9, 5, 6, 4, 7, 7, 5, 4, 6, 3, 8, 2, 1, 9, 9, 6, 2, 4, 7, 1, 5, 8, 3, 2, 9, 7, 1, 5, 6, 8, 3, 4, 3, 8, 6, 9, 4, 2, 7, 5, 1, 5, 4, 1, 7, 8, 3, 9, 6, 2, 6, 7, 5, 3, 2, 4, 1, 9, 8, 8, 2, 3, 5, 1, 9, 4, 7, 6, 4, 1, 9, 8, 6, 7, 3, 2, 5],
easy,[0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 5, 0, 4, 1, 7, 9, 0, 1, 8, 0, 0, 0, 9, 4, 0, 0, 4, 0, 2, 0, 5, 0, 0, 6, 3, 0, 0, 1, 0, 0, 0, 2, 0, 0, 5, 6, 0, 0, 3, 0, 9, 0, 7, 0, 0, 9, 8, 0, 0, 0, 7, 4, 0, 7, 6, 9, 1, 0, 8, 5, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0],[9, 4, 3, 6, 8, 7, 5, 2, 1, 6, 2, 5, 3, 4, 1, 7, 9, 8, 1, 8, 7, 5, 2, 9, 4, 3, 6, 4, 9, 2, 7, 5, 8, 1, 6, 3, 7, 3, 1, 4, 9, 6, 2, 8, 5, 5, 6, 8, 1, 3, 2, 9, 4, 7, 2, 1, 9, 8, 6, 5, 3, 7, 4, 3, 7, 6, 9, 1, 4, 8, 5, 2, 8, 5, 4, 2, 7, 3, 6, 1, 9],
hard,[7, 0, 0, 0, 8, 0, 3, 0, 6, 2, 0, 9, 3, 7, 0, 1, 0, 0, 0, 1, 3, 4, 5, 0, 0, 0, 0, 9, 0, 8, 5, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 7, 5, 0, 8, 0, 0, 0, 0, 6, 9, 4, 8, 0, 0, 0, 6, 0, 2, 4, 9, 0, 7, 4, 0, 7, 0, 3, 0, 0, 0, 2],[7, 5, 4, 9, 8, 1, 3, 2, 6, 2, 8, 9, 3, 7, 6, 1, 4, 5, 6, 1, 3, 4, 5, 2, 8, 7, 9, 9, 7, 8, 5, 1, 3, 2, 6, 4, 3, 6, 5, 2, 4, 8, 7, 9, 1, 1, 4, 2, 6, 9, 7, 5, 3, 8, 5, 2, 1, 7, 6, 9, 4, 8, 3, 8, 3, 6, 1, 2, 4, 9, 5, 7, 4, 9, 7, 8, 3, 5, 6, 1, 2],
hard,[0, 0, 3, 0, 0, 8, 0, 2, 0, 8, 4, 0, 2, 3, 5, 0, 9, 0, 6, 2, 5, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 2, 0, 5, 0, 4, 0, 0, 7, 0, 3, 0, 0, 9, 0, 6, 0, 9, 5, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 9, 6, 5, 0, 7, 0, 5, 2, 9, 0, 4, 3, 0, 3, 0, 4, 0, 0, 1, 0, 0],[7, 9, 3, 6, 4, 8, 5, 2, 1, 8, 4, 1, 2, 3, 5, 7, 9, 6, 6, 2, 5, 1, 9, 7, 4, 3, 8, 9, 1, 7, 8, 6, 2, 3, 5, 4, 4, 5, 2, 7, 1, 3, 6, 8, 9, 3, 6, 8, 9, 5, 4, 2, 1, 7, 2, 8, 4, 3, 7, 1, 9, 6, 5, 1, 7, 6, 5, 2, 9, 8, 4, 3, 5, 3, 9, 4, 8, 6, 1, 7, 2],
hard,[0, 1, 0, 0, 6, 0, 5, 0, 9, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 9, 7, 0, 1, 8, 4, 3, 0, 0, 0, 8, 1, 0, 0, 0, 4, 0, 0, 2, 0, 0, 7, 0, 0, 9, 0, 0, 5, 0, 0, 0, 3, 7, 0, 0, 0, 8, 2, 4, 5, 0, 9, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 3, 0, 4, 0, 2, 0, 0, 5, 0],[8, 1, 3, 7, 6, 4, 5, 2, 9, 5, 4, 6, 9, 3, 2, 8, 1, 7, 2, 9, 7, 5, 1, 8, 4, 3, 6, 7, 3, 8, 1, 9, 5, 6, 4, 2, 4, 2, 1, 8, 7, 6, 3, 9, 5, 6, 5, 9, 2, 4, 3, 7, 8, 1, 1, 8, 2, 4, 5, 7, 9, 6, 3, 9, 6, 5, 3, 8, 1, 2, 7, 4, 3, 7, 4, 6, 2, 9, 1, 5, 8],
hard,[2, 3, 0, 0, 5, 0, 8, 1, 0, 0, 0, 0, 1, 6, 0, 9, 0, 3, 0, 0, 0, 3, 0, 0, 0, 2, 5, 0, 0, 2, 8, 1, 0, 0, 0, 0, 8, 1, 0, 6, 0, 9, 0, 4, 2, 0, 0, 0, 0, 2, 5, 6, 0, 0, 9, 5, 0, 0, 0, 6, 0, 0, 0, 3, 0, 8, 0, 4, 1, 0, 0, 0, 0, 4, 6, 0, 3, 0, 0, 9, 8],[2, 3, 9, 7, 5, 4, 8, 1, 6, 5, 8, 4, 1, 6, 2, 9, 7, 3, 6, 7, 1, 3, 9, 8, 4, 2, 5, 4, 6, 2, 8, 1, 3, 7, 5, 9, 8, 1, 5, 6, 7, 9, 3, 4, 2, 7, 9, 3, 4, 2, 5, 6, 8, 1, 9, 5, 7, 2, 8, 6, 1, 3, 4, 3, 2, 8, 9, 4, 1, 5, 6, 7, 1, 4, 6, 5, 3, 7, 2, 9, 8],
hard,[0, 0, 0, 2, 4, 0, 6, 0, 0, 0, 2, 6, 3, 9, 0, 0, 1, 8, 0, 3, 0, 0, 8, 0, 0, 0, 0, 9, 6, 0, 1, 0, 0, 5, 0, 4, 3, 8, 0, 0, 0, 0, 0, 7, 9, 7, 0, 4, 0, 0, 9, 0, 6, 3, 0, 0, 0, 0, 5, 0, 0, 4, 0, 6, 9, 0, 0, 7, 2, 8, 5, 0, 0, 0, 7, 0, 1, 8, 0, 0, 0],[8, 7, 9, 2, 4, 1, 6, 3, 5, 4, 2, 6, 3, 9, 5, 7, 1, 8, 1, 3, 5, 7, 8, 6, 4, 9, 2, 9, 6, 2, 1, 3, 7, 5, 8, 4, 3, 8, 1, 5, 6, 4, 2, 7, 9, 7, 5, 4, 8, 2, 9, 1, 6, 3, 2, 1, 8, 6, 5, 3, 9, 4, 7, 6, 9, 3, 4, 7, 2, 8, 5, 1, 5, 4, 7, 9, 1, 8, 3, 2, 6],
hard,[0, 8, 3, 4, 7, 0, 9, 0, 0, 0, 1, 6, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 1, 7, 0, 0, 8, 0, 0, 0, 2, 9, 0, 4, 6, 0, 3, 0, 0, 5, 0, 0, 7, 0, 5, 6, 0, 7, 1, 0, 0, 0, 9, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 5, 8, 0, 0, 0, 6, 3, 0, 0, 0, 9, 0, 6, 7, 8, 1, 0],[2, 8, 3, 4, 7, 6, 9, 5, 1, 7, 1, 6, 2, 9, 5, 4, 8, 3, 4, 9, 5, 8, 3, 1, 7, 6, 2, 8, 7, 1, 3, 2, 9, 5, 4, 6, 9, 3, 2, 6, 5, 4, 1, 7, 8, 5, 6, 4, 7, 1, 8, 3, 2, 9, 6, 4, 7, 1, 8, 3, 2, 9, 5, 1, 5, 8, 9, 4, 2, 6, 3, 7, 3, 2, 9, 5, 6, 7, 8, 1, 4],
easy,[7, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 7, 0, 6, 0, 3, 0, 0, 0, 8, 0, 0, 0, 7, 4, 5, 5, 0, 9, 0, 8, 7, 0, 2, 3, 0, 0, 2, 0, 9, 0, 5, 0, 0, 3, 1, 0, 2, 6, 0, 8, 0, 4, 4, 5, 6, 0, 0, 0, 1, 0, 0, 0, 2, 0, 9, 0, 1, 0, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 2],[7, 3, 4, 5, 2, 8, 9, 6, 1, 1, 9, 5, 7, 4, 6, 2, 3, 8, 2, 6, 8, 3, 1, 9, 7, 4, 5, 5, 4, 9, 1, 8, 7, 6, 2, 3, 6, 8, 2, 4, 9, 3, 5, 1, 7, 3, 1, 7, 2, 6, 5, 8, 9, 4, 4, 5, 6, 8, 3, 2, 1, 7, 9, 8, 2, 3, 9, 7, 1, 4, 5, 6, 9, 7, 1, 6, 5, 4, 3, 8, 2],
hard,[0, 5, 0, 1, 0, 0, 6, 0, 0, 3, 9, 0, 0, 8, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 5, 3, 0, 4, 6, 0, 9, 3, 2, 8, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0, 0, 0, 0, 8, 7, 4, 1, 0, 5, 6, 0, 1, 3, 0, 0, 0, 0, 0, 9, 6, 8, 0, 0, 1, 0, 0, 2, 5, 0, 0, 4, 0, 0, 7, 0, 6, 0],[8, 5, 7, 1, 2, 3, 6, 9, 4, 3, 9, 6, 4, 8, 5, 1, 7, 2, 2, 4, 1, 6, 7, 9, 5, 3, 8, 4, 6, 5, 9, 3, 2, 8, 1, 7, 1, 7, 2, 5, 6, 8, 9, 4, 3, 9, 3, 8, 7, 4, 1, 2, 5, 6, 7, 1, 3, 2, 5, 6, 4, 8, 9, 6, 8, 9, 3, 1, 4, 7, 2, 5, 5, 2, 4, 8, 9, 7, 3, 6, 1],
hard,[0, 3, 0, 0, 0, 8, 0, 2, 0, 2, 0, 4, 9, 0, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 0, 0, 9, 8, 5, 4, 1, 2, 6, 0, 0, 0, 1, 0, 3, 0, 9, 0, 5, 0, 0, 0, 6, 7, 8, 5, 9, 4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 3, 1, 0, 5, 0, 9, 0, 1, 0, 0, 0, 8, 0],[1, 3, 9, 5, 4, 8, 7, 2, 6, 2, 6, 4, 9, 7, 1, 5, 3, 8, 5, 7, 8, 2, 3, 6, 4, 1, 9, 9, 8, 5, 4, 1, 2, 6, 7, 3, 4, 1, 7, 3, 6, 9, 8, 5, 2, 3, 2, 6, 7, 8, 5, 9, 4, 1, 8, 5, 1, 6, 2, 7, 3, 9, 4, 7, 4, 2, 8, 9, 3, 1, 6, 5, 6, 9, 3, 1, 5, 4, 2, 8, 7],
easy,[5, 0, 3, 0, 2, 9, 7, 0, 0, 2, 0, 7, 0, 0, 0, 4, 6, 0, 0, 0, 8, 0, 3, 0, 9, 0, 0, 9, 3, 0, 0, 0, 8, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 8, 0, 2, 5, 0, 0, 0, 3, 7, 0, 0, 9, 0, 4, 0, 1, 0, 0, 0, 8, 6, 0, 0, 0, 3, 0, 4, 0, 0, 1, 9, 6, 0, 8, 0, 5],[5, 6, 3, 4, 2, 9, 7, 1, 8, 2, 9, 7, 1, 8, 5, 4, 6, 3, 1, 4, 8, 7, 3, 6, 9, 5, 2, 9, 3, 5, 6, 7, 8, 2, 4, 1, 6, 7, 4, 3, 1, 2, 5, 8, 9, 8, 1, 2, 5, 9, 4, 6, 3, 7, 3, 5, 9, 8, 4, 7, 1, 2, 6, 7, 8, 6, 2, 5, 1, 3, 9, 4, 4, 2, 1, 9, 6, 3, 8, 7, 5],
medium,[0, 2, 4, 8, 7, 0, 5, 0, 9, 0, 0, 9, 5, 0, 6, 0, 2, 0, 0, 0, 0, 0, 9, 0, 0, 8, 3, 0, 0, 0, 0, 0, 9, 2, 4, 0, 0, 0, 7, 4, 0, 2, 3, 0, 0, 0, 4, 6, 3, 0, 0, 0, 0, 0, 6, 7, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 1, 0, 7, 6, 0, 0, 4, 0, 1, 0, 2, 8, 7, 3, 0],[1, 2, 4, 8, 7, 3, 5, 6, 9, 3, 8, 9, 5, 1, 6, 4, 2, 7, 7, 6, 5, 2, 9, 4, 1, 8, 3, 5, 3, 8, 7, 6, 9, 2, 4, 1, 9, 1, 7, 4, 8, 2, 3, 5, 6, 2, 4, 6, 3, 5, 1, 9, 7, 8, 6, 7, 3, 9, 4, 5, 8, 1, 2, 8, 5, 2, 1, 3, 7, 6, 9, 4, 4, 9, 1, 6, 2, 8, 7, 3, 5],
medium,[4, 0, 3, 0, 0, 9, 5, 7, 1, 9, 0, 1, 0, 5, 0, 0, 0, 0, 5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 1, 7, 9, 2, 0, 0, 0, 7, 9, 0, 4, 1, 0, 0, 0, 3, 9, 5, 6, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 3, 0, 2, 0, 4, 2, 1, 6, 4, 0, 0, 3, 0, 7],[4, 6, 3, 8, 2, 9, 5, 7, 1, 9, 7, 1, 6, 5, 3, 4, 8, 2, 5, 8, 2, 7, 4, 1, 6, 9, 3, 8, 4, 5, 3, 1, 7, 9, 2, 6, 6, 2, 7, 9, 8, 4, 1, 3, 5, 1, 3, 9, 5, 6, 2, 7, 4, 8, 3, 5, 4, 2, 7, 6, 8, 1, 9, 7, 9, 8, 1, 3, 5, 2, 6, 4, 2, 1, 6, 4, 9, 8, 3, 5, 7],
hard,[7, 0, 3, 0, 0, 5, 1, 0, 0, 9, 6, 8, 2, 1, 0, 0, 0, 5, 0, 0, 5, 3, 0, 0, 0, 9, 4, 0, 0, 0, 0, 4, 0, 9, 6, 0, 0, 0, 0, 7, 0, 1, 0, 0, 0, 0, 7, 9, 0, 5, 0, 0, 0, 0, 8, 5, 0, 0, 0, 6, 2, 0, 0, 2, 0, 0, 0, 8, 7, 3, 5, 6, 0, 0, 6, 5, 0, 0, 8, 0, 1],[7, 4, 3, 9, 6, 5, 1, 8, 2, 9, 6, 8, 2, 1, 4, 7, 3, 5, 1, 2, 5, 3, 7, 8, 6, 9, 4, 5, 1, 2, 8, 4, 3, 9, 6, 7, 6, 8, 4, 7, 9, 1, 5, 2, 3, 3, 7, 9, 6, 5, 2, 4, 1, 8, 8, 5, 7, 1, 3, 6, 2, 4, 9, 2, 9, 1, 4, 8, 7, 3, 5, 6, 4, 3, 6, 5, 2, 9, 8, 7, 1],
medium,[0, 0, 8, 0, 0, 9, 3, 4, 0, 4, 0, 0, 8, 0, 3, 0, 2, 9, 3, 6, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 7, 5, 6, 4, 2, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 9, 2, 8, 9, 0, 2, 0, 1, 0, 0, 6, 0, 2, 3, 9, 0, 0, 4, 0, 0],[2, 5, 8, 6, 1, 9, 3, 4, 7, 4, 7, 1, 8, 5, 3, 6, 2, 9, 3, 6, 9, 4, 2, 7, 1, 8, 5, 1, 4, 2, 7, 9, 8, 5, 6, 3, 9, 3, 7, 5, 6, 4, 2, 1, 8, 5, 8, 6, 1, 3, 2, 9, 7, 4, 6, 1, 4, 3, 7, 5, 8, 9, 2, 8, 9, 5, 2, 4, 1, 7, 3, 6, 7, 2, 3, 9, 8, 6, 4, 5, 1],
medium,[8, 5, 0, 2, 3, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 5, 1, 4, 0, 8, 5, 0, 7, 0, 0, 0, 0, 0, 1, 0, 3, 0, 6, 0, 0, 0, 5, 0, 2, 0, 9, 0, 0, 0, 9, 0, 4, 0, 5, 0, 0, 0, 0, 0, 4, 0, 8, 7, 0, 2, 6, 7, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 1, 9, 0, 7, 8],[8, 5, 7, 2, 3, 4, 6, 9, 1, 6, 3, 2, 9, 7, 1, 8, 4, 5, 1, 4, 9, 8, 5, 6, 7, 3, 2, 2, 7, 8, 1, 9, 3, 5, 6, 4, 4, 6, 5, 7, 2, 8, 9, 1, 3, 3, 9, 1, 4, 6, 5, 2, 8, 7, 9, 1, 4, 5, 8, 7, 3, 2, 6, 7, 8, 3, 6, 4, 2, 1, 5, 9, 5, 2, 6, 3, 1, 9, 4, 7, 8],
medium,[8, 0, 7, 3, 0, 0, 0, 0, 0, 2, 6, 0, 9, 0, 7, 0, 0, 5, 0, 3, 0, 0, 5, 0, 0, 7, 0, 5, 9, 0, 0, 2, 0, 0, 8, 3, 0, 0, 2, 0, 0, 0, 9, 0, 0, 4, 8, 0, 0, 6, 0, 0, 5, 1, 0, 7, 0, 0, 4, 0, 0, 2, 0, 6, 0, 0, 2, 0, 8, 0, 1, 7, 0, 0, 0, 0, 0, 6, 8, 0, 9],[8, 5, 7, 3, 1, 4, 6, 9, 2, 2, 6, 4, 9, 8, 7, 1, 3, 5, 1, 3, 9, 6, 5, 2, 4, 7, 8, 5, 9, 6, 4, 2, 1, 7, 8, 3, 7, 1, 2, 8, 3, 5, 9, 6, 4, 4, 8, 3, 7, 6, 9, 2, 5, 1, 9, 7, 8, 1, 4, 3, 5, 2, 6, 6, 4, 5, 2, 9, 8, 3, 1, 7, 3, 2, 1, 5, 7, 6, 8, 4, 9],
hard,[0, 0, 6, 0, 0, 0, 0, 0, 9, 7, 0, 0, 0, 8, 9, 0, 0, 1, 4, 1, 0, 3, 5, 6, 0, 7, 0, 2, 0, 1, 7, 0, 5, 0, 0, 0, 0, 0, 3, 0, 1, 0, 4, 0, 0, 0, 0, 0, 9, 0, 2, 3, 0, 7, 0, 2, 0, 8, 9, 7, 0, 5, 3, 1, 0, 0, 5, 2, 0, 0, 0, 4, 5, 0, 0, 0, 0, 0, 2, 0, 0],[3, 8, 6, 2, 7, 1, 5, 4, 9, 7, 5, 2, 4, 8, 9, 6, 3, 1, 4, 1, 9, 3, 5, 6, 8, 7, 2, 2, 4, 1, 7, 3, 5, 9, 8, 6, 9, 7, 3, 6, 1, 8, 4, 2, 5, 8, 6, 5, 9, 4, 2, 3, 1, 7, 6, 2, 4, 8, 9, 7, 1, 5, 3, 1, 9, 8, 5, 2, 3, 7, 6, 4, 5, 3, 7, 1, 6, 4, 2, 9, 8],
easy,[8, 1, 0, 4, 0, 7, 0, 0, 6, 0, 0, 0, 0, 6, 8, 0, 4, 0, 7, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 7, 2, 0, 3, 7, 0, 4, 0, 6, 5, 0, 6, 8, 1, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 9, 0, 2, 0, 8, 9, 0, 0, 0, 0, 5, 0, 0, 1, 0, 2, 0, 8, 4],[8, 1, 5, 4, 3, 7, 9, 2, 6, 3, 9, 2, 5, 6, 8, 7, 4, 1, 7, 4, 6, 2, 1, 9, 8, 3, 5, 9, 5, 4, 6, 8, 3, 1, 7, 2, 2, 3, 7, 9, 4, 1, 6, 5, 8, 6, 8, 1, 7, 2, 5, 4, 9, 3, 1, 7, 8, 3, 5, 4, 2, 6, 9, 4, 2, 3, 8, 9, 6, 5, 1, 7, 5, 6, 9, 1, 7, 2, 3, 8, 4],
hard,[2, 0, 0, 4, 8, 0, 0, 0, 5, 0, 1, 0, 0, 3, 0, 0, 0, 6, 0, 5, 0, 0, 1, 0, 8, 0, 0, 5, 3, 0, 6, 0, 0, 2, 0, 7, 0, 4, 0, 2, 0, 7, 0, 8, 0, 7, 0, 1, 0, 0, 3, 0, 5, 4, 0, 0, 7, 0, 6, 0, 0, 2, 0, 3, 0, 0, 0, 2, 0, 0, 4, 0, 4, 0, 0, 0, 7, 5, 0, 0, 1],[2, 7, 3, 4, 8, 6, 9, 1, 5, 8, 1, 9, 5, 3, 2, 4, 7, 6, 6, 5, 4, 7, 1, 9, 8, 3, 2, 5, 3, 8, 6, 4, 1, 2, 9, 7, 9, 4, 6, 2, 5, 7, 1, 8, 3, 7, 2, 1, 8, 9, 3, 6, 5, 4, 1, 9, 7, 3, 6, 4, 5, 2, 8, 3, 6, 5, 1, 2, 8, 7, 4, 9, 4, 8, 2, 9, 7, 5, 3, 6, 1],
medium,[8, 0, 0, 9, 0, 2, 0, 0, 0, 7, 0, 0, 6, 5, 0, 0, 0, 9, 0, 4, 0, 0, 0, 8, 0, 3, 0, 0, 0, 6, 0, 8, 3, 0, 4, 1, 2, 9, 0, 0, 4, 0, 0, 8, 5, 1, 8, 0, 5, 6, 0, 3, 0, 0, 0, 2, 0, 3, 0, 0, 0, 5, 0, 6, 0, 0, 0, 1, 7, 0, 0, 3, 0, 0, 0, 8, 0, 5, 0, 0, 4],[8, 6, 5, 9, 3, 2, 4, 1, 7, 7, 3, 1, 6, 5, 4, 8, 2, 9, 9, 4, 2, 1, 7, 8, 5, 3, 6, 5, 7, 6, 2, 8, 3, 9, 4, 1, 2, 9, 3, 7, 4, 1, 6, 8, 5, 1, 8, 4, 5, 6, 9, 3, 7, 2, 4, 2, 7, 3, 9, 6, 1, 5, 8, 6, 5, 8, 4, 1, 7, 2, 9, 3, 3, 1, 9, 8, 2, 5, 7, 6, 4],
easy,[0, 0, 0, 8, 0, 5, 0, 0, 1, 0, 0, 8, 0, 0, 0, 7, 3, 9, 0, 1, 0, 0, 9, 0, 0, 5, 0, 0, 3, 6, 0, 7, 1, 0, 2, 8, 0, 0, 9, 0, 5, 0, 1, 0, 0, 1, 2, 0, 4, 6, 0, 5, 9, 0, 0, 8, 0, 0, 1, 0, 0, 4, 0, 3, 9, 4, 0, 0, 0, 6, 0, 0, 2, 0, 0, 7, 0, 4, 0, 0, 0],[9, 7, 3, 8, 4, 5, 2, 6, 1, 4, 5, 8, 1, 2, 6, 7, 3, 9, 6, 1, 2, 3, 9, 7, 8, 5, 4, 5, 3, 6, 9, 7, 1, 4, 2, 8, 8, 4, 9, 2, 5, 3, 1, 7, 6, 1, 2, 7, 4, 6, 8, 5, 9, 3, 7, 8, 5, 6, 1, 9, 3, 4, 2, 3, 9, 4, 5, 8, 2, 6, 1, 7, 2, 6, 1, 7, 3, 4, 9, 8, 5],
hard,[8, 0, 0, 0, 0, 4, 2, 0, 1, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 9, 0, 4, 1, 5, 7, 2, 6, 0, 0, 0, 0, 2, 4, 0, 0, 5, 0, 0, 1, 8, 0, 0, 0, 0, 4, 1, 5, 7, 2, 4, 0, 5, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 4, 0, 3, 0, 8, 4, 0, 0, 0, 0, 7],[8, 7, 6, 5, 9, 4, 2, 3, 1, 9, 2, 4, 6, 1, 3, 7, 8, 5, 5, 3, 1, 8, 7, 2, 9, 6, 4, 1, 5, 7, 2, 6, 8, 4, 9, 3, 2, 4, 3, 7, 5, 9, 6, 1, 8, 6, 8, 9, 3, 4, 1, 5, 7, 2, 4, 1, 5, 9, 8, 7, 3, 2, 6, 7, 6, 2, 1, 3, 5, 8, 4, 9, 3, 9, 8, 4, 2, 6, 1, 5, 7],
medium,[0, 0, 0, 0, 4, 0, 7, 6, 0, 0, 0, 0, 2, 0, 6, 0, 0, 4, 8, 0, 4, 0, 0, 7, 0, 9, 2, 9, 0, 0, 7, 6, 0, 4, 3, 0, 0, 0, 2, 5, 0, 8, 9, 0, 0, 0, 1, 6, 0, 3, 4, 0, 0, 8, 6, 7, 0, 4, 0, 0, 5, 0, 9, 1, 0, 0, 3, 0, 5, 0, 0, 0, 0, 8, 5, 0, 7, 0, 0, 0, 0],[2, 9, 1, 8, 4, 3, 7, 6, 5, 5, 3, 7, 2, 9, 6, 8, 1, 4, 8, 6, 4, 1, 5, 7, 3, 9, 2, 9, 5, 8, 7, 6, 2, 4, 3, 1, 3, 4, 2, 5, 1, 8, 9, 7, 6, 7, 1, 6, 9, 3, 4, 2, 5, 8, 6, 7, 3, 4, 2, 1, 5, 8, 9, 1, 2, 9, 3, 8, 5, 6, 4, 7, 4, 8, 5, 6, 7, 9, 1, 2, 3],
easy,[0, 2, 0, 5, 4, 0, 9, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 0, 7, 1, 0, 2, 0, 5, 0, 1, 9, 5, 0, 3, 0, 6, 0, 4, 0, 3, 0, 0, 0, 0, 0, 9, 0, 2, 0, 6, 0, 5, 0, 8, 1, 3, 0, 5, 0, 8, 0, 3, 1, 0, 7, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 3, 0, 1, 9, 0, 8, 0],[3, 2, 8, 5, 4, 7, 9, 6, 1, 5, 1, 9, 3, 8, 6, 4, 7, 2, 4, 6, 7, 1, 9, 2, 3, 5, 8, 1, 9, 5, 7, 3, 8, 6, 2, 4, 8, 3, 4, 6, 2, 1, 7, 9, 5, 2, 7, 6, 9, 5, 4, 8, 1, 3, 9, 5, 2, 8, 6, 3, 1, 4, 7, 6, 8, 1, 4, 7, 5, 2, 3, 9, 7, 4, 3, 2, 1, 9, 5, 8, 6],
medium,[0, 0, 0, 5, 0, 1, 0, 0, 4, 3, 0, 0, 0, 0, 6, 9, 5, 0, 0, 7, 5, 4, 0, 9, 0, 0, 0, 0, 0, 6, 2, 5, 0, 3, 0, 0, 4, 9, 0, 0, 8, 0, 0, 6, 7, 0, 0, 3, 0, 9, 7, 2, 0, 0, 0, 0, 0, 7, 0, 5, 1, 8, 0, 0, 1, 8, 3, 0, 0, 0, 0, 6, 6, 0, 0, 9, 0, 8, 0, 0, 0],[2, 6, 9, 5, 3, 1, 8, 7, 4, 3, 4, 1, 8, 7, 6, 9, 5, 2, 8, 7, 5, 4, 2, 9, 6, 3, 1, 7, 8, 6, 2, 5, 4, 3, 1, 9, 4, 9, 2, 1, 8, 3, 5, 6, 7, 1, 5, 3, 6, 9, 7, 2, 4, 8, 9, 2, 4, 7, 6, 5, 1, 8, 3, 5, 1, 8, 3, 4, 2, 7, 9, 6, 6, 3, 7, 9, 1, 8, 4, 2, 5],
easy,[0, 0, 0, 4, 0, 0, 0, 0, 1, 1, 4, 3, 0, 0, 5, 9, 0, 6, 0, 2, 0, 6, 3, 0, 5, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 7, 0, 2, 0, 0, 8, 0, 6, 9, 0, 7, 0, 6, 0, 5, 1, 0, 0, 4, 2, 9, 3, 0, 0, 0, 0, 7, 0, 0, 0],[7, 5, 6, 4, 9, 8, 2, 3, 1, 1, 4, 3, 7, 2, 5, 9, 8, 6, 8, 2, 9, 6, 3, 1, 5, 4, 7, 2, 8, 1, 9, 7, 4, 6, 5, 3, 5, 6, 7, 3, 1, 2, 8, 9, 4, 9, 3, 4, 8, 5, 6, 7, 1, 2, 4, 1, 8, 2, 6, 9, 3, 7, 5, 6, 7, 5, 1, 8, 3, 4, 2, 9, 3, 9, 2, 5, 4, 7, 1, 6, 8],
medium,[4, 0, 3, 6, 9, 1, 0, 0, 0, 0, 5, 7, 0, 0, 3, 8, 0, 0, 1, 0, 0, 7, 5, 0, 9, 0, 0, 0, 3, 0, 0, 7, 0, 5, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7, 4, 0, 2, 0, 0, 8, 0, 0, 0, 6, 0, 8, 4, 0, 0, 3, 0, 0, 5, 9, 0, 0, 4, 2, 0, 0, 0, 0, 1, 3, 2, 6, 0, 9],[4, 8, 3, 6, 9, 1, 2, 7, 5, 9, 5, 7, 2, 4, 3, 8, 6, 1, 1, 6, 2, 7, 5, 8, 9, 3, 4, 8, 3, 1, 4, 7, 6, 5, 9, 2, 6, 2, 9, 8, 1, 5, 3, 4, 7, 5, 7, 4, 3, 2, 9, 1, 8, 6, 2, 9, 6, 5, 8, 4, 7, 1, 3, 3, 1, 5, 9, 6, 7, 4, 2, 8, 7, 4, 8, 1, 3, 2, 6, 5, 9],
easy,[0, 2, 1, 9, 0, 3, 5, 6, 0, 0, 5, 0, 0, 0, 0, 3, 0, 4, 0, 0, 8, 0, 6, 0, 0, 0, 9, 1, 0, 2, 0, 7, 9, 0, 0, 0, 0, 0, 4, 0, 5, 0, 9, 0, 0, 0, 0, 0, 6, 4, 0, 8, 0, 1, 9, 0, 0, 0, 3, 0, 2, 0, 0, 8, 0, 3, 0, 0, 0, 0, 1, 0, 0, 7, 5, 8, 0, 6, 4, 9, 0],[4, 2, 1, 9, 8, 3, 5, 6, 7, 6, 5, 9, 7, 2, 1, 3, 8, 4, 7, 3, 8, 5, 6, 4, 1, 2, 9, 1, 8, 2, 3, 7, 9, 6, 4, 5, 3, 6, 4, 1, 5, 8, 9, 7, 2, 5, 9, 7, 6, 4, 2, 8, 3, 1, 9, 1, 6, 4, 3, 7, 2, 5, 8, 8, 4, 3, 2, 9, 5, 7, 1, 6, 2, 7, 5, 8, 1, 6, 4, 9, 3],
easy,[5, 9, 0, 0, 1, 6, 0, 8, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 9, 3, 0, 1, 4, 0, 7, 0, 4, 8, 2, 6, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 8, 2, 1, 3, 5, 0, 7, 0, 8, 4, 0, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 6, 7, 0, 0, 9, 8],[5, 9, 4, 2, 1, 6, 7, 8, 3, 1, 3, 7, 5, 4, 8, 9, 6, 2, 2, 6, 8, 7, 9, 3, 5, 1, 4, 9, 7, 5, 4, 8, 2, 6, 3, 1, 4, 1, 3, 9, 6, 7, 8, 2, 5, 6, 8, 2, 1, 3, 5, 4, 7, 9, 8, 4, 6, 3, 2, 9, 1, 5, 7, 7, 2, 9, 8, 5, 1, 3, 4, 6, 3, 5, 1, 6, 7, 4, 2, 9, 8],
medium,[7, 5, 1, 0, 0, 3, 6, 8, 9, 3, 0, 0, 5, 0, 8, 0, 0, 0, 0, 9, 0, 0, 0, 1, 5, 0, 0, 0, 6, 7, 0, 0, 0, 0, 0, 8, 0, 0, 3, 4, 0, 7, 2, 0, 0, 8, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 4, 1, 0, 0, 0, 5, 0, 0, 0, 0, 7, 0, 6, 0, 0, 1, 1, 3, 5, 8, 0, 0, 7, 9, 6],[7, 5, 1, 2, 4, 3, 6, 8, 9, 3, 2, 6, 5, 9, 8, 1, 7, 4, 4, 9, 8, 6, 7, 1, 5, 2, 3, 5, 6, 7, 3, 1, 2, 9, 4, 8, 9, 1, 3, 4, 8, 7, 2, 6, 5, 8, 4, 2, 9, 6, 5, 3, 1, 7, 6, 7, 4, 1, 3, 9, 8, 5, 2, 2, 8, 9, 7, 5, 6, 4, 3, 1, 1, 3, 5, 8, 2, 4, 7, 9, 6],
medium,[4, 6, 1, 7, 0, 0, 5, 0, 0, 0, 0, 9, 4, 0, 2, 0, 3, 0, 2, 7, 3, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 7, 0, 0, 0, 5, 0, 0, 0, 3, 0, 6, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 7, 0, 0, 0, 2, 0, 0, 0, 8, 5, 9, 0, 9, 0, 8, 0, 7, 2, 0, 0, 0, 0, 5, 0, 0, 9, 1, 4, 7],[4, 6, 1, 7, 8, 3, 5, 9, 2, 8, 5, 9, 4, 1, 2, 7, 3, 6, 2, 7, 3, 9, 6, 5, 4, 1, 8, 9, 4, 6, 1, 7, 8, 3, 2, 5, 5, 1, 7, 3, 2, 6, 9, 8, 4, 3, 2, 8, 5, 9, 4, 6, 7, 1, 7, 3, 2, 6, 4, 1, 8, 5, 9, 1, 9, 4, 8, 5, 7, 2, 6, 3, 6, 8, 5, 2, 3, 9, 1, 4, 7],
medium,[0, 2, 0, 0, 0, 9, 0, 0, 0, 8, 7, 0, 4, 0, 0, 1, 3, 6, 5, 0, 0, 0, 7, 3, 9, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 9, 0, 0, 7, 0, 0, 0, 3, 0, 0, 4, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 7, 2, 0, 0, 0, 8, 2, 4, 6, 0, 0, 8, 0, 7, 3, 0, 0, 0, 6, 0, 0, 0, 4, 0],[1, 2, 3, 8, 6, 9, 7, 5, 4, 8, 7, 9, 4, 5, 2, 1, 3, 6, 5, 6, 4, 1, 7, 3, 9, 8, 2, 6, 3, 2, 5, 8, 7, 4, 1, 9, 9, 8, 7, 2, 4, 1, 3, 6, 5, 4, 1, 5, 3, 9, 6, 8, 2, 7, 3, 5, 1, 7, 2, 4, 6, 9, 8, 2, 4, 6, 9, 1, 8, 5, 7, 3, 7, 9, 8, 6, 3, 5, 2, 4, 1],
hard,[1, 9, 6, 4, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 3, 4, 5, 0, 0, 3, 0, 8, 0, 2, 0, 0, 0, 0, 0, 2, 0, 5, 0, 0, 1, 9, 3, 6, 0, 0, 0, 0, 0, 7, 4, 5, 1, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 5, 0, 4, 0, 8, 0, 0, 5, 3, 1, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 6, 1, 9, 5],[1, 9, 6, 4, 7, 5, 8, 3, 2, 7, 2, 8, 9, 6, 3, 4, 5, 1, 4, 3, 5, 8, 1, 2, 9, 6, 7, 8, 4, 2, 3, 5, 7, 6, 1, 9, 3, 6, 9, 2, 8, 1, 5, 7, 4, 5, 1, 7, 6, 4, 9, 3, 2, 8, 6, 7, 1, 5, 9, 4, 2, 8, 3, 9, 5, 3, 1, 2, 8, 7, 4, 6, 2, 8, 4, 7, 3, 6, 1, 9, 5],
hard,[0, 5, 0, 0, 0, 6, 0, 0, 0, 0, 2, 7, 8, 0, 0, 1, 9, 4, 0, 0, 3, 0, 2, 9, 0, 0, 6, 0, 9, 0, 0, 0, 0, 6, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 8, 0, 0, 0, 0, 5, 0, 4, 0, 0, 2, 5, 0, 7, 0, 0, 1, 8, 5, 0, 0, 7, 9, 2, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0],[9, 5, 4, 7, 1, 6, 8, 3, 2, 6, 2, 7, 8, 3, 5, 1, 9, 4, 8, 1, 3, 4, 2, 9, 5, 7, 6, 5, 9, 1, 3, 7, 2, 6, 4, 8, 2, 7, 6, 5, 8, 4, 3, 1, 9, 3, 4, 8, 9, 6, 1, 2, 5, 7, 4, 3, 9, 2, 5, 8, 7, 6, 1, 1, 8, 5, 6, 4, 7, 9, 2, 3, 7, 6, 2, 1, 9, 3, 4, 8, 5],
medium,[0, 0, 0, 3, 0, 0, 5, 4, 0, 2, 0, 0, 5, 1, 0, 7, 3, 0, 0, 0, 3, 0, 6, 4, 0, 0, 0, 9, 0, 5, 2, 8, 0, 0, 0, 4, 0, 4, 2, 0, 0, 0, 8, 5, 0, 1, 0, 0, 0, 5, 7, 2, 0, 9, 0, 0, 0, 1, 3, 0, 4, 0, 0, 0, 5, 1, 0, 2, 6, 0, 0, 3, 0, 2, 7, 0, 0, 8, 0, 0, 0],[6, 1, 9, 3, 7, 2, 5, 4, 8, 2, 8, 4, 5, 1, 9, 7, 3, 6, 5, 7, 3, 8, 6, 4, 1, 9, 2, 9, 6, 5, 2, 8, 1, 3, 7, 4, 7, 4, 2, 6, 9, 3, 8, 5, 1, 1, 3, 8, 4, 5, 7, 2, 6, 9, 8, 9, 6, 1, 3, 5, 4, 2, 7, 4, 5, 1, 7, 2, 6, 9, 8, 3, 3, 2, 7, 9, 4, 8, 6, 1, 5],
easy,[0, 2, 0, 0, 1, 6, 4, 7, 3, 0, 9, 7, 0, 0, 8, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 5, 8, 7, 0, 4, 0, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 0, 7, 3, 1, 0, 0, 0, 2, 0, 0, 4, 6, 0, 0, 4, 0, 0, 2, 3, 0, 8, 4, 2, 5, 3, 0, 0, 6, 0],[5, 2, 8, 9, 1, 6, 4, 7, 3, 4, 9, 7, 3, 5, 8, 6, 1, 2, 1, 6, 3, 2, 4, 7, 9, 5, 8, 7, 5, 4, 8, 9, 3, 1, 2, 6, 2, 8, 6, 1, 7, 5, 3, 4, 9, 9, 3, 1, 6, 2, 4, 5, 8, 7, 3, 1, 5, 7, 6, 2, 8, 9, 4, 6, 7, 9, 4, 8, 1, 2, 3, 5, 8, 4, 2, 5, 3, 9, 7, 6, 1],
easy,[2, 0, 0, 0, 0, 0, 0, 9, 0, 0, 5, 6, 2, 0, 1, 4, 0, 7, 0, 9, 7, 8, 4, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2, 5, 0, 0, 3, 0, 4, 0, 0, 1, 7, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 6, 2, 3, 9, 5, 0, 4, 0, 2, 9, 0, 7, 6, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3],[2, 8, 4, 7, 3, 5, 1, 9, 6, 3, 5, 6, 2, 9, 1, 4, 8, 7, 1, 9, 7, 8, 4, 6, 3, 2, 5, 6, 4, 8, 1, 7, 9, 5, 3, 2, 5, 2, 9, 3, 8, 4, 7, 6, 1, 7, 1, 3, 5, 6, 2, 8, 4, 9, 8, 7, 1, 6, 2, 3, 9, 5, 4, 4, 3, 2, 9, 5, 7, 6, 1, 8, 9, 6, 5, 4, 1, 8, 2, 7, 3],
medium,[1, 0, 9, 2, 7, 0, 5, 0, 0, 4, 8, 0, 3, 0, 0, 6, 0, 7, 0, 2, 0, 0, 4, 0, 0, 0, 0, 8, 4, 0, 1, 0, 0, 0, 0, 0, 9, 5, 6, 0, 0, 0, 2, 3, 1, 0, 0, 0, 0, 0, 3, 0, 8, 6, 0, 0, 0, 0, 5, 0, 0, 7, 0, 5, 0, 1, 0, 0, 2, 0, 6, 4, 0, 0, 8, 0, 6, 4, 1, 0, 9],[1, 6, 9, 2, 7, 8, 5, 4, 3, 4, 8, 5, 3, 1, 9, 6, 2, 7, 3, 2, 7, 6, 4, 5, 9, 1, 8, 8, 4, 3, 1, 2, 6, 7, 9, 5, 9, 5, 6, 4, 8, 7, 2, 3, 1, 7, 1, 2, 5, 9, 3, 4, 8, 6, 6, 9, 4, 8, 5, 1, 3, 7, 2, 5, 7, 1, 9, 3, 2, 8, 6, 4, 2, 3, 8, 7, 6, 4, 1, 5, 9],
medium,[0, 0, 0, 0, 0, 0, 5, 0, 0, 7, 1, 0, 0, 2, 0, 6, 3, 8, 3, 8, 0, 7, 0, 6, 2, 0, 0, 5, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 8, 6, 7, 0, 0, 0, 0, 6, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 5, 0, 9, 4, 9, 5, 7, 0, 4, 0, 0, 8, 6, 0, 0, 8, 0, 0, 0, 0, 0, 0],[4, 2, 6, 9, 3, 8, 5, 1, 7, 7, 1, 9, 5, 2, 4, 6, 3, 8, 3, 8, 5, 7, 1, 6, 2, 4, 9, 5, 7, 4, 2, 9, 3, 8, 6, 1, 2, 9, 1, 8, 6, 7, 4, 5, 3, 8, 6, 3, 4, 5, 1, 9, 7, 2, 6, 3, 2, 1, 8, 5, 7, 9, 4, 9, 5, 7, 3, 4, 2, 1, 8, 6, 1, 4, 8, 6, 7, 9, 3, 2, 5],
medium,[0, 0, 6, 0, 1, 0, 0, 3, 0, 0, 3, 7, 5, 0, 6, 9, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 6, 1, 8, 0, 0, 9, 5, 0, 3, 7, 0, 0, 0, 5, 0, 0, 0, 9, 3, 0, 5, 1, 0, 0, 4, 6, 7, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 2, 3, 0, 1, 7, 5, 0, 0, 4, 0, 0, 7, 0, 8, 0, 0],[4, 5, 6, 9, 1, 7, 2, 3, 8, 2, 3, 7, 5, 8, 6, 9, 4, 1, 9, 8, 1, 4, 3, 2, 6, 7, 5, 6, 1, 8, 7, 4, 9, 5, 2, 3, 7, 2, 4, 6, 5, 3, 1, 8, 9, 3, 9, 5, 1, 2, 8, 4, 6, 7, 5, 7, 9, 8, 6, 4, 3, 1, 2, 8, 6, 2, 3, 9, 1, 7, 5, 4, 1, 4, 3, 2, 7, 5, 8, 9, 6],
hard,[0, 0, 0, 2, 7, 6, 1, 4, 0, 1, 0, 7, 8, 0, 5, 2, 3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 7, 0, 9, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 2, 1, 0, 4, 5, 0, 7, 0, 3, 4, 9, 5, 2, 0, 0, 0],[3, 5, 9, 2, 7, 6, 1, 4, 8, 1, 6, 7, 8, 4, 5, 2, 3, 9, 2, 4, 8, 3, 9, 1, 7, 6, 5, 5, 9, 3, 4, 1, 8, 6, 7, 2, 8, 2, 1, 7, 6, 9, 4, 5, 3, 4, 7, 6, 5, 2, 3, 9, 8, 1, 9, 1, 5, 6, 8, 7, 3, 2, 4, 6, 8, 2, 1, 3, 4, 5, 9, 7, 7, 3, 4, 9, 5, 2, 8, 1, 6],
medium,[0, 1, 3, 2, 4, 0, 0, 0, 5, 8, 0, 0, 0, 0, 0, 4, 2, 0, 0, 4, 2, 7, 8, 6, 0, 0, 0, 0, 0, 0, 9, 0, 5, 7, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 1, 6, 0, 8, 0, 0, 0, 0, 0, 0, 5, 6, 3, 9, 4, 0, 0, 9, 5, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 9, 4, 5, 8, 0],[6, 1, 3, 2, 4, 9, 8, 7, 5, 8, 7, 9, 3, 5, 1, 4, 2, 6, 5, 4, 2, 7, 8, 6, 3, 9, 1, 3, 2, 4, 9, 1, 5, 7, 6, 8, 7, 6, 8, 4, 3, 2, 1, 5, 9, 9, 5, 1, 6, 7, 8, 2, 3, 4, 1, 8, 7, 5, 6, 3, 9, 4, 2, 4, 9, 5, 8, 2, 7, 6, 1, 3, 2, 3, 6, 1, 9, 4, 5, 8, 7],
medium,[7, 1, 2, 5, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 5, 0, 0, 5, 0, 3, 0, 1, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 1, 6, 5, 4, 0, 8, 0, 9, 7, 3, 1, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 6, 0, 1, 0, 8, 0, 0, 5, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 3, 7, 5, 2],[7, 1, 2, 5, 4, 9, 8, 3, 6, 9, 4, 6, 2, 3, 8, 5, 1, 7, 5, 8, 3, 6, 1, 7, 2, 4, 9, 2, 7, 9, 3, 5, 6, 4, 8, 1, 6, 5, 4, 1, 8, 2, 9, 7, 3, 1, 3, 8, 9, 7, 4, 6, 2, 5, 3, 2, 7, 4, 6, 5, 1, 9, 8, 8, 9, 5, 7, 2, 1, 3, 6, 4, 4, 6, 1, 8, 9, 3, 7, 5, 2],
easy,[0, 6, 3, 0, 0, 0, 0, 0, 0, 8, 0, 1, 2, 0, 9, 0, 0, 7, 9, 0, 2, 0, 6, 4, 0, 3, 0, 1, 0, 0, 0, 0, 2, 0, 5, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 1, 0, 1, 0, 7, 2, 0, 9, 0, 5, 5, 0, 0, 6, 0, 3, 1, 0, 4, 0, 0, 0, 0, 0, 0, 7, 2, 0],[4, 6, 3, 5, 8, 7, 2, 1, 9, 8, 5, 1, 2, 3, 9, 6, 4, 7, 9, 7, 2, 1, 6, 4, 5, 3, 8, 1, 3, 8, 9, 7, 2, 4, 5, 6, 7, 4, 5, 3, 1, 6, 8, 9, 2, 2, 9, 6, 8, 4, 5, 3, 7, 1, 3, 1, 4, 7, 2, 8, 9, 6, 5, 5, 2, 7, 6, 9, 3, 1, 8, 4, 6, 8, 9, 4, 5, 1, 7, 2, 3],
easy,[8, 4, 0, 0, 6, 0, 3, 0, 1, 0, 0, 7, 3, 0, 0, 0, 6, 0, 0, 3, 6, 0, 0, 0, 9, 0, 0, 9, 0, 8, 1, 0, 5, 2, 0, 4, 0, 0, 0, 2, 0, 9, 0, 0, 0, 7, 0, 4, 6, 0, 3, 1, 0, 5, 0, 0, 2, 0, 0, 0, 6, 8, 0, 0, 7, 0, 0, 0, 8, 5, 0, 0, 3, 0, 1, 0, 9, 0, 0, 4, 2],[8, 4, 5, 9, 6, 7, 3, 2, 1, 1, 9, 7, 3, 5, 2, 4, 6, 8, 2, 3, 6, 8, 1, 4, 9, 5, 7, 9, 6, 8, 1, 7, 5, 2, 3, 4, 5, 1, 3, 2, 4, 9, 8, 7, 6, 7, 2, 4, 6, 8, 3, 1, 9, 5, 4, 5, 2, 7, 3, 1, 6, 8, 9, 6, 7, 9, 4, 2, 8, 5, 1, 3, 3, 8, 1, 5, 9, 6, 7, 4, 2],
hard,[0, 0, 9, 8, 1, 0, 2, 0, 7, 0, 0, 7, 2, 0, 0, 8, 0, 3, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 5, 3, 6, 1, 0, 4, 9, 8, 2, 0, 0, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5, 1, 0, 5, 0, 0, 9, 4, 0, 0, 9, 0, 4, 0, 8, 5, 6, 0, 0],[6, 5, 9, 8, 1, 3, 2, 4, 7, 4, 1, 7, 2, 9, 6, 8, 5, 3, 3, 2, 8, 5, 4, 7, 1, 6, 9, 8, 9, 1, 6, 3, 2, 5, 7, 4, 5, 3, 6, 1, 7, 4, 9, 8, 2, 7, 4, 2, 9, 5, 8, 3, 1, 6, 2, 8, 3, 4, 6, 1, 7, 9, 5, 1, 6, 5, 7, 2, 9, 4, 3, 8, 9, 7, 4, 3, 8, 5, 6, 2, 1],
easy,[0, 6, 0, 0, 2, 7, 1, 9, 0, 0, 2, 0, 0, 1, 0, 0, 7, 0, 0, 0, 1, 4, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 3, 3, 1, 0, 5, 4, 8, 0, 6, 2, 2, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 1, 7, 0, 0, 0, 5, 0, 0, 3, 0, 0, 8, 0, 0, 8, 2, 7, 5, 0, 0, 3, 0],[5, 6, 3, 8, 2, 7, 1, 9, 4, 8, 2, 4, 9, 1, 5, 3, 7, 6, 9, 7, 1, 4, 6, 3, 2, 5, 8, 6, 9, 5, 1, 7, 2, 8, 4, 3, 3, 1, 7, 5, 4, 8, 9, 6, 2, 2, 4, 8, 3, 9, 6, 5, 1, 7, 4, 3, 9, 6, 8, 1, 7, 2, 5, 7, 5, 6, 2, 3, 9, 4, 8, 1, 1, 8, 2, 7, 5, 4, 6, 3, 9],
easy,[4, 9, 0, 2, 1, 0, 0, 0, 3, 0, 5, 0, 8, 3, 4, 0, 0, 9, 0, 0, 3, 0, 0, 9, 0, 0, 0, 6, 0, 0, 7, 9, 0, 0, 0, 2, 5, 0, 9, 0, 0, 0, 1, 0, 7, 8, 0, 0, 0, 2, 5, 0, 0, 6, 0, 0, 0, 1, 0, 0, 7, 0, 0, 9, 0, 0, 4, 5, 3, 0, 8, 0, 1, 0, 0, 0, 6, 7, 0, 2, 4],[4, 9, 8, 2, 1, 6, 5, 7, 3, 7, 5, 1, 8, 3, 4, 2, 6, 9, 2, 6, 3, 5, 7, 9, 4, 1, 8, 6, 3, 4, 7, 9, 1, 8, 5, 2, 5, 2, 9, 6, 4, 8, 1, 3, 7, 8, 1, 7, 3, 2, 5, 9, 4, 6, 3, 4, 6, 1, 8, 2, 7, 9, 5, 9, 7, 2, 4, 5, 3, 6, 8, 1, 1, 8, 5, 9, 6, 7, 3, 2, 4],
hard,[3, 0, 0, 9, 0, 5, 0, 6, 0, 9, 0, 0, 4, 0, 0, 8, 0, 2, 0, 6, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 6, 9, 0, 7, 5, 9, 0, 0, 0, 0, 0, 3, 8, 6, 0, 3, 7, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 7, 0, 6, 0, 0, 9, 0, 0, 5, 0, 8, 0, 5, 0, 1, 0, 0, 6],[3, 4, 2, 9, 8, 5, 7, 6, 1, 9, 7, 1, 4, 6, 3, 8, 5, 2, 8, 6, 5, 1, 7, 2, 4, 9, 3, 4, 2, 8, 3, 5, 6, 9, 1, 7, 5, 9, 7, 2, 1, 4, 6, 3, 8, 6, 1, 3, 7, 9, 8, 5, 2, 4, 1, 5, 4, 6, 3, 7, 2, 8, 9, 7, 3, 6, 8, 2, 9, 1, 4, 5, 2, 8, 9, 5, 4, 1, 3, 7, 6],
medium,[0, 6, 1, 0, 8, 7, 0, 9, 0, 0, 8, 0, 6, 0, 9, 7, 0, 0, 0, 0, 0, 5, 0, 2, 4, 0, 0, 0, 0, 3, 0, 0, 0, 2, 8, 1, 0, 5, 0, 2, 0, 1, 0, 7, 0, 2, 1, 7, 0, 0, 0, 9, 0, 0, 0, 0, 5, 7, 0, 3, 0, 0, 0, 0, 0, 4, 1, 0, 6, 0, 2, 0, 0, 3, 0, 8, 2, 0, 1, 5, 0],[4, 6, 1, 3, 8, 7, 5, 9, 2, 5, 8, 2, 6, 4, 9, 7, 1, 3, 3, 7, 9, 5, 1, 2, 4, 6, 8, 6, 4, 3, 9, 7, 5, 2, 8, 1, 9, 5, 8, 2, 3, 1, 6, 7, 4, 2, 1, 7, 4, 6, 8, 9, 3, 5, 1, 2, 5, 7, 9, 3, 8, 4, 6, 8, 9, 4, 1, 5, 6, 3, 2, 7, 7, 3, 6, 8, 2, 4, 1, 5, 9],
easy,[0, 2, 0, 0, 0, 6, 3, 0, 0, 0, 6, 0, 0, 0, 4, 0, 1, 8, 0, 4, 0, 0, 2, 0, 0, 0, 0, 4, 0, 1, 5, 0, 0, 0, 6, 9, 0, 5, 9, 1, 8, 7, 4, 2, 0, 7, 3, 0, 0, 0, 9, 5, 0, 1, 0, 0, 0, 0, 5, 0, 0, 7, 0, 8, 9, 0, 7, 0, 0, 0, 5, 0, 0, 0, 5, 4, 0, 0, 0, 3, 0],[9, 2, 7, 8, 1, 6, 3, 4, 5, 5, 6, 3, 9, 7, 4, 2, 1, 8, 1, 4, 8, 3, 2, 5, 6, 9, 7, 4, 8, 1, 5, 3, 2, 7, 6, 9, 6, 5, 9, 1, 8, 7, 4, 2, 3, 7, 3, 2, 6, 4, 9, 5, 8, 1, 3, 1, 6, 2, 5, 8, 9, 7, 4, 8, 9, 4, 7, 6, 3, 1, 5, 2, 2, 7, 5, 4, 9, 1, 8, 3, 6],
easy,[0, 7, 8, 4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 7, 9, 0, 8, 4, 1, 0, 3, 5, 0, 0, 9, 2, 0, 2, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 9, 8, 0, 4, 2, 0, 0, 0, 0, 0, 7, 0, 2, 0, 0, 6, 0, 8, 6, 0, 0, 1, 7, 0, 5, 5, 1, 0, 9, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 5, 1, 3, 0],[9, 7, 8, 4, 2, 3, 5, 6, 1, 6, 2, 5, 1, 7, 9, 3, 8, 4, 1, 4, 3, 5, 6, 8, 9, 2, 7, 2, 5, 4, 3, 1, 6, 8, 7, 9, 7, 6, 9, 8, 5, 4, 2, 1, 3, 8, 3, 1, 7, 9, 2, 4, 5, 6, 3, 8, 6, 2, 4, 1, 7, 9, 5, 5, 1, 2, 9, 3, 7, 6, 4, 8, 4, 9, 7, 6, 8, 5, 1, 3, 2],
easy,[8, 0, 0, 4, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 7, 0, 5, 0, 9, 8, 0, 4, 0, 6, 0, 8, 0, 3, 0, 0, 0, 2, 5, 9, 0, 6, 1, 7, 0, 0, 0, 1, 0, 2, 0, 5, 0, 4, 0, 3, 4, 0, 6, 0, 8, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 0, 0, 4, 0, 0, 7],[8, 5, 2, 4, 1, 9, 7, 3, 6, 6, 9, 3, 2, 7, 8, 4, 5, 1, 1, 4, 7, 6, 5, 3, 9, 8, 2, 4, 7, 6, 5, 8, 1, 3, 2, 9, 3, 2, 5, 9, 4, 6, 1, 7, 8, 9, 8, 1, 3, 2, 7, 5, 6, 4, 7, 3, 4, 1, 6, 2, 8, 9, 5, 2, 1, 8, 7, 9, 5, 6, 4, 3, 5, 6, 9, 8, 3, 4, 2, 1, 7],
easy,[0, 4, 0, 0, 5, 3, 9, 0, 0, 0, 0, 5, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 3, 5, 0, 0, 0, 0, 2, 9, 0, 5, 7, 6, 8, 6, 7, 0, 0, 0, 4, 9, 2, 9, 5, 2, 0, 6, 4, 0, 0, 0, 0, 7, 8, 0, 3, 0, 0, 0, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 3, 6, 4, 0, 0, 8, 0],[7, 4, 6, 8, 5, 3, 9, 2, 1, 3, 8, 5, 9, 2, 1, 7, 6, 4, 1, 2, 9, 4, 7, 6, 3, 5, 8, 4, 3, 1, 2, 9, 8, 5, 7, 6, 8, 6, 7, 3, 1, 5, 4, 9, 2, 9, 5, 2, 7, 6, 4, 8, 1, 3, 2, 7, 8, 1, 3, 9, 6, 4, 5, 6, 9, 4, 5, 8, 2, 1, 3, 7, 5, 1, 3, 6, 4, 7, 2, 8, 9],
medium,[9, 5, 7, 4, 6, 0, 0, 8, 0, 0, 8, 0, 0, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 9, 2, 0, 0, 1, 0, 0, 8, 4, 5, 4, 0, 0, 0, 0, 0, 0, 0, 3, 8, 3, 1, 0, 0, 6, 0, 0, 2, 3, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 3, 0, 0, 4, 0, 0, 1, 3, 6, 9, 7],[9, 5, 7, 4, 6, 2, 3, 8, 1, 1, 8, 3, 9, 7, 5, 4, 2, 6, 6, 2, 4, 3, 8, 1, 7, 5, 9, 2, 7, 6, 1, 3, 9, 8, 4, 5, 4, 9, 5, 7, 2, 8, 1, 6, 3, 8, 3, 1, 5, 4, 6, 9, 7, 2, 3, 6, 2, 8, 9, 7, 5, 1, 4, 7, 1, 9, 6, 5, 4, 2, 3, 8, 5, 4, 8, 2, 1, 3, 6, 9, 7],
easy,[0, 9, 0, 6, 7, 0, 2, 0, 5, 2, 5, 8, 0, 9, 0, 7, 0, 6, 6, 0, 0, 0, 8, 5, 0, 9, 0, 3, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 4, 0, 1, 0, 9, 3, 0, 0, 0, 7, 8, 0, 9, 0, 5, 0, 4, 6, 1, 7, 0, 5, 0, 1, 6, 0, 3, 0],[1, 9, 3, 6, 7, 4, 2, 8, 5, 2, 5, 8, 3, 9, 1, 7, 4, 6, 6, 4, 7, 2, 8, 5, 1, 9, 3, 3, 6, 2, 5, 4, 7, 8, 1, 9, 5, 8, 4, 1, 6, 9, 3, 7, 2, 9, 7, 1, 8, 2, 3, 6, 5, 4, 4, 1, 6, 9, 3, 8, 5, 2, 7, 8, 3, 9, 7, 5, 2, 4, 6, 1, 7, 2, 5, 4, 1, 6, 9, 3, 8],
medium,[0, 0, 6, 0, 0, 0, 1, 5, 0, 3, 1, 0, 0, 2, 8, 0, 0, 4, 0, 0, 4, 0, 6, 1, 2, 0, 7, 2, 0, 0, 0, 1, 0, 6, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 3, 0, 8, 0, 0, 0, 9, 5, 0, 2, 1, 9, 0, 3, 0, 0, 7, 0, 0, 6, 3, 0, 0, 9, 2, 0, 3, 9, 0, 0, 0, 4, 0, 0],[9, 2, 6, 7, 4, 3, 1, 5, 8, 3, 1, 7, 5, 2, 8, 9, 6, 4, 8, 5, 4, 9, 6, 1, 2, 3, 7, 2, 7, 8, 3, 1, 9, 6, 4, 5, 1, 9, 5, 4, 7, 6, 8, 2, 3, 4, 6, 3, 2, 8, 5, 7, 1, 9, 5, 4, 2, 1, 9, 7, 3, 8, 6, 7, 8, 1, 6, 3, 4, 5, 9, 2, 6, 3, 9, 8, 5, 2, 4, 7, 1],
easy,[0, 6, 0, 0, 4, 7, 5, 0, 1, 7, 0, 0, 9, 0, 0, 3, 4, 0, 9, 1, 4, 0, 3, 0, 0, 0, 7, 0, 0, 6, 0, 0, 0, 1, 0, 2, 0, 8, 0, 0, 0, 0, 0, 3, 0, 3, 0, 5, 0, 0, 0, 6, 0, 0, 5, 0, 0, 0, 9, 0, 8, 1, 4, 0, 3, 9, 0, 0, 4, 0, 0, 5, 8, 0, 1, 7, 5, 0, 0, 6, 0],[2, 6, 3, 8, 4, 7, 5, 9, 1, 7, 5, 8, 9, 2, 1, 3, 4, 6, 9, 1, 4, 5, 3, 6, 2, 8, 7, 4, 9, 6, 3, 7, 8, 1, 5, 2, 1, 8, 7, 2, 6, 5, 4, 3, 9, 3, 2, 5, 4, 1, 9, 6, 7, 8, 5, 7, 2, 6, 9, 3, 8, 1, 4, 6, 3, 9, 1, 8, 4, 7, 2, 5, 8, 4, 1, 7, 5, 2, 9, 6, 3],
easy,[0, 0, 3, 5, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 5, 0, 7, 1, 9, 0, 6, 0, 7, 6, 0, 1, 5, 0, 3, 2, 0, 1, 0, 0, 0, 4, 0, 0, 0, 8, 0, 3, 9, 0, 7, 2, 0, 5, 1, 0, 9, 0, 2, 3, 7, 0, 4, 0, 0, 4, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 5, 0, 0],[2, 7, 3, 5, 8, 6, 9, 1, 4, 9, 1, 6, 3, 2, 4, 7, 8, 5, 4, 5, 8, 7, 1, 9, 2, 6, 3, 7, 6, 4, 1, 5, 8, 3, 2, 9, 1, 2, 5, 9, 4, 3, 6, 7, 8, 8, 3, 9, 6, 7, 2, 4, 5, 1, 5, 9, 1, 2, 3, 7, 8, 4, 6, 6, 4, 7, 8, 9, 5, 1, 3, 2, 3, 8, 2, 4, 6, 1, 5, 9, 7],
easy,[0, 0, 4, 0, 0, 3, 2, 1, 0, 2, 0, 0, 0, 5, 1, 0, 0, 6, 7, 1, 0, 0, 0, 8, 0, 9, 5, 4, 3, 0, 0, 0, 0, 9, 8, 0, 0, 0, 7, 0, 0, 0, 5, 0, 0, 0, 9, 5, 0, 0, 0, 0, 4, 7, 6, 4, 0, 7, 0, 0, 0, 5, 9, 3, 0, 0, 6, 9, 0, 0, 0, 1, 0, 7, 8, 1, 0, 0, 6, 0, 0],[5, 6, 4, 9, 7, 3, 2, 1, 8, 2, 8, 9, 4, 5, 1, 7, 3, 6, 7, 1, 3, 2, 6, 8, 4, 9, 5, 4, 3, 6, 5, 1, 7, 9, 8, 2, 1, 2, 7, 8, 4, 9, 5, 6, 3, 8, 9, 5, 3, 2, 6, 1, 4, 7, 6, 4, 1, 7, 8, 2, 3, 5, 9, 3, 5, 2, 6, 9, 4, 8, 7, 1, 9, 7, 8, 1, 3, 5, 6, 2, 4],
hard,[2, 0, 0, 1, 6, 0, 0, 9, 8, 0, 6, 9, 0, 0, 0, 3, 0, 0, 7, 0, 8, 5, 9, 0, 6, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 9, 5, 0, 0, 0, 2, 0, 0, 0, 6, 8, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 3, 0, 1, 5, 8, 0, 2, 0, 0, 1, 0, 0, 0, 5, 7, 0, 6, 5, 0, 0, 8, 4, 0, 0, 3],[2, 4, 5, 1, 6, 3, 7, 9, 8, 1, 6, 9, 4, 7, 8, 3, 2, 5, 7, 3, 8, 5, 9, 2, 6, 4, 1, 3, 1, 6, 8, 4, 7, 2, 5, 9, 5, 9, 7, 3, 2, 1, 4, 8, 6, 8, 2, 4, 6, 5, 9, 1, 3, 7, 4, 7, 3, 9, 1, 5, 8, 6, 2, 9, 8, 1, 2, 3, 6, 5, 7, 4, 6, 5, 2, 7, 8, 4, 9, 1, 3],
medium,[0, 0, 0, 2, 8, 4, 0, 0, 3, 0, 0, 0, 0, 7, 5, 8, 0, 0, 0, 0, 5, 0, 0, 9, 7, 0, 4, 0, 8, 0, 1, 4, 0, 0, 9, 0, 1, 0, 6, 0, 0, 0, 4, 0, 8, 0, 9, 0, 0, 2, 3, 0, 6, 0, 9, 0, 8, 7, 0, 0, 3, 0, 0, 0, 0, 4, 5, 3, 0, 0, 0, 0, 3, 0, 0, 4, 9, 2, 0, 0, 0],[7, 1, 9, 2, 8, 4, 6, 5, 3, 6, 4, 2, 3, 7, 5, 8, 1, 9, 8, 3, 5, 6, 1, 9, 7, 2, 4, 5, 8, 3, 1, 4, 6, 2, 9, 7, 1, 2, 6, 9, 5, 7, 4, 3, 8, 4, 9, 7, 8, 2, 3, 1, 6, 5, 9, 5, 8, 7, 6, 1, 3, 4, 2, 2, 6, 4, 5, 3, 8, 9, 7, 1, 3, 7, 1, 4, 9, 2, 5, 8, 6],
medium,[0, 0, 0, 8, 0, 4, 6, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 7, 0, 1, 0, 0, 0, 0, 5, 8, 3, 3, 9, 0, 0, 1, 8, 2, 0, 6, 0, 2, 0, 0, 9, 0, 0, 3, 0, 6, 0, 7, 2, 4, 0, 0, 1, 5, 5, 4, 3, 0, 0, 0, 0, 7, 0, 9, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 2, 9, 0, 7, 0, 0, 0],[7, 3, 9, 8, 5, 4, 6, 2, 1, 8, 5, 6, 3, 2, 1, 4, 9, 7, 2, 1, 4, 6, 7, 9, 5, 8, 3, 3, 9, 5, 7, 1, 8, 2, 4, 6, 4, 2, 1, 5, 9, 6, 7, 3, 8, 6, 8, 7, 2, 4, 3, 9, 1, 5, 5, 4, 3, 1, 6, 2, 8, 7, 9, 9, 7, 8, 4, 3, 5, 1, 6, 2, 1, 6, 2, 9, 8, 7, 3, 5, 4],
medium,[9, 0, 0, 6, 2, 0, 5, 3, 1, 0, 0, 6, 0, 0, 0, 0, 0, 4, 8, 0, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 4, 7, 0, 8, 3, 0, 8, 0, 3, 0, 2, 0, 1, 0, 4, 3, 0, 5, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 6, 0, 8, 1, 0, 0, 0, 0, 0, 3, 0, 0, 5, 6, 4, 0, 7, 3, 0, 0, 9],[9, 4, 7, 6, 2, 8, 5, 3, 1, 3, 2, 6, 7, 1, 5, 8, 9, 4, 8, 1, 5, 9, 3, 4, 2, 7, 6, 6, 5, 2, 1, 4, 7, 9, 8, 3, 7, 8, 9, 3, 6, 2, 4, 1, 5, 4, 3, 1, 5, 8, 9, 7, 6, 2, 2, 7, 3, 4, 9, 1, 6, 5, 8, 1, 9, 8, 2, 5, 6, 3, 4, 7, 5, 6, 4, 8, 7, 3, 1, 2, 9],
hard,[0, 0, 4, 0, 0, 0, 0, 0, 1, 8, 9, 1, 0, 0, 3, 0, 0, 5, 7, 0, 0, 6, 9, 0, 0, 3, 0, 6, 0, 0, 5, 4, 0, 0, 0, 0, 0, 4, 3, 1, 0, 2, 7, 5, 0, 0, 0, 0, 0, 3, 6, 0, 0, 2, 0, 8, 0, 0, 7, 5, 0, 0, 3, 1, 0, 0, 2, 0, 0, 5, 8, 9, 2, 0, 0, 0, 0, 0, 4, 0, 0],[3, 6, 4, 8, 5, 7, 2, 9, 1, 8, 9, 1, 4, 2, 3, 6, 7, 5, 7, 2, 5, 6, 9, 1, 8, 3, 4, 6, 7, 2, 5, 4, 9, 3, 1, 8, 9, 4, 3, 1, 8, 2, 7, 5, 6, 5, 1, 8, 7, 3, 6, 9, 4, 2, 4, 8, 6, 9, 7, 5, 1, 2, 3, 1, 3, 7, 2, 6, 4, 5, 8, 9, 2, 5, 9, 3, 1, 8, 4, 6, 7],
hard,[0, 7, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 9, 3, 0, 0, 2, 4, 3, 6, 8, 0, 0, 7, 0, 0, 0, 5, 9, 0, 0, 4, 6, 7, 0, 0, 6, 0, 0, 0, 1, 0, 0, 9, 1, 7, 0, 0, 8, 5, 0, 0, 0, 6, 0, 0, 9, 1, 2, 3, 8, 0, 0, 1, 7, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 1, 0],[1, 7, 9, 3, 2, 4, 8, 5, 6, 6, 5, 8, 1, 7, 9, 3, 4, 2, 2, 4, 3, 6, 8, 5, 9, 7, 1, 8, 2, 5, 9, 1, 3, 4, 6, 7, 4, 3, 6, 2, 5, 7, 1, 8, 9, 9, 1, 7, 4, 6, 8, 5, 2, 3, 7, 6, 4, 5, 9, 1, 2, 3, 8, 5, 8, 1, 7, 3, 2, 6, 9, 4, 3, 9, 2, 8, 4, 6, 7, 1, 5],
easy,[2, 0, 0, 8, 7, 0, 0, 3, 0, 3, 0, 5, 0, 6, 0, 2, 0, 7, 0, 8, 0, 1, 3, 2, 0, 0, 0, 0, 0, 1, 6, 5, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 1, 9, 3, 0, 0, 0, 0, 0, 4, 9, 1, 0, 2, 0, 1, 0, 9, 0, 2, 0, 7, 0, 8, 0, 2, 0, 0, 8, 7, 0, 0, 1],[2, 9, 6, 8, 7, 5, 1, 3, 4, 3, 1, 5, 9, 6, 4, 2, 8, 7, 7, 8, 4, 1, 3, 2, 5, 6, 9, 4, 3, 1, 6, 5, 8, 9, 7, 2, 9, 5, 7, 2, 4, 3, 8, 1, 6, 8, 6, 2, 7, 1, 9, 3, 4, 5, 5, 7, 8, 4, 9, 1, 6, 2, 3, 1, 4, 9, 3, 2, 6, 7, 5, 8, 6, 2, 3, 5, 8, 7, 4, 9, 1],
medium,[7, 0, 4, 0, 0, 5, 9, 3, 0, 0, 0, 5, 3, 0, 0, 1, 0, 8, 0, 0, 0, 0, 8, 4, 0, 0, 2, 0, 0, 0, 0, 9, 0, 0, 0, 7, 5, 2, 1, 0, 6, 0, 4, 8, 9, 4, 0, 0, 0, 5, 0, 0, 0, 0, 8, 0, 0, 5, 3, 0, 0, 0, 0, 3, 0, 6, 0, 0, 7, 8, 0, 0, 0, 9, 7, 8, 0, 0, 3, 0, 5],[7, 8, 4, 1, 2, 5, 9, 3, 6, 2, 6, 5, 3, 7, 9, 1, 4, 8, 9, 1, 3, 6, 8, 4, 5, 7, 2, 6, 3, 8, 4, 9, 1, 2, 5, 7, 5, 2, 1, 7, 6, 3, 4, 8, 9, 4, 7, 9, 2, 5, 8, 6, 1, 3, 8, 4, 2, 5, 3, 6, 7, 9, 1, 3, 5, 6, 9, 1, 7, 8, 2, 4, 1, 9, 7, 8, 4, 2, 3, 6, 5],
medium,[5, 7, 0, 0, 1, 4, 6, 0, 0, 9, 6, 0, 0, 0, 8, 0, 5, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 8, 0, 0, 0, 2, 7, 4, 0, 1, 0, 9, 0, 6, 0, 5, 0, 3, 0, 3, 7, 4, 0, 0, 0, 6, 0, 0, 0, 0, 3, 4, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 7, 4, 0, 0, 8, 7, 2, 0, 0, 3, 6],[5, 7, 3, 9, 1, 4, 6, 8, 2, 9, 6, 4, 2, 7, 8, 3, 5, 1, 8, 2, 1, 6, 5, 3, 4, 9, 7, 6, 8, 5, 1, 3, 2, 7, 4, 9, 1, 4, 9, 8, 6, 7, 5, 2, 3, 2, 3, 7, 4, 9, 5, 1, 6, 8, 7, 9, 2, 3, 4, 6, 8, 1, 5, 3, 1, 6, 5, 8, 9, 2, 7, 4, 4, 5, 8, 7, 2, 1, 9, 3, 6],
easy,[0, 0, 0, 2, 0, 8, 6, 0, 3, 8, 5, 0, 6, 0, 0, 9, 4, 0, 0, 3, 0, 0, 0, 9, 5, 8, 0, 5, 0, 0, 0, 2, 0, 1, 0, 4, 0, 0, 0, 4, 0, 3, 0, 0, 0, 4, 0, 6, 0, 7, 0, 0, 0, 8, 0, 4, 7, 5, 0, 0, 0, 6, 0, 0, 6, 9, 0, 0, 7, 0, 3, 5, 1, 0, 5, 3, 0, 4, 0, 0, 0],[7, 9, 4, 2, 5, 8, 6, 1, 3, 8, 5, 2, 6, 3, 1, 9, 4, 7, 6, 3, 1, 7, 4, 9, 5, 8, 2, 5, 7, 3, 8, 2, 6, 1, 9, 4, 9, 2, 8, 4, 1, 3, 7, 5, 6, 4, 1, 6, 9, 7, 5, 3, 2, 8, 3, 4, 7, 5, 9, 2, 8, 6, 1, 2, 6, 9, 1, 8, 7, 4, 3, 5, 1, 8, 5, 3, 6, 4, 2, 7, 9],
hard,[3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 9, 8, 4, 1, 7, 3, 4, 7, 0, 0, 0, 2, 9, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 6, 3, 0, 8, 0, 1, 0, 2, 7, 0, 0, 0, 7, 4, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 1, 2, 2, 5, 7, 1, 3, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 7, 0, 5],[3, 8, 9, 5, 1, 7, 2, 6, 4, 5, 2, 6, 9, 8, 4, 1, 7, 3, 4, 7, 1, 3, 6, 2, 9, 5, 8, 7, 1, 4, 2, 5, 3, 8, 9, 6, 6, 3, 5, 8, 9, 1, 4, 2, 7, 8, 9, 2, 7, 4, 6, 5, 3, 1, 9, 4, 8, 6, 7, 5, 3, 1, 2, 2, 5, 7, 1, 3, 8, 6, 4, 9, 1, 6, 3, 4, 2, 9, 7, 8, 5],
easy,[7, 9, 0, 0, 2, 8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 6, 1, 3, 5, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 5, 0, 9, 5, 4, 1, 0, 7, 0, 3, 8, 2, 9, 0, 7, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 3, 9, 6, 1, 0, 3, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 1, 9, 0, 0, 5, 3],[7, 9, 4, 3, 2, 8, 6, 1, 5, 8, 5, 2, 9, 6, 1, 4, 3, 7, 6, 1, 3, 5, 4, 7, 2, 9, 8, 3, 2, 6, 8, 1, 4, 5, 7, 9, 5, 4, 1, 6, 7, 9, 3, 8, 2, 9, 8, 7, 2, 3, 5, 1, 4, 6, 2, 7, 5, 4, 8, 3, 9, 6, 1, 1, 3, 9, 7, 5, 6, 8, 2, 4, 4, 6, 8, 1, 9, 2, 7, 5, 3],
hard,[0, 0, 0, 3, 0, 6, 5, 2, 0, 0, 0, 2, 0, 9, 0, 0, 3, 6, 0, 6, 0, 5, 7, 0, 8, 0, 0, 9, 0, 0, 0, 0, 0, 2, 0, 5, 0, 5, 7, 0, 2, 0, 4, 8, 0, 2, 0, 4, 0, 0, 0, 0, 0, 9, 0, 0, 1, 0, 5, 7, 0, 4, 0, 4, 9, 0, 0, 8, 0, 7, 0, 0, 0, 8, 6, 1, 0, 9, 0, 0, 0],[8, 4, 9, 3, 1, 6, 5, 2, 7, 5, 7, 2, 4, 9, 8, 1, 3, 6, 1, 6, 3, 5, 7, 2, 8, 9, 4, 9, 3, 8, 7, 6, 4, 2, 1, 5, 6, 5, 7, 9, 2, 1, 4, 8, 3, 2, 1, 4, 8, 3, 5, 6, 7, 9, 3, 2, 1, 6, 5, 7, 9, 4, 8, 4, 9, 5, 2, 8, 3, 7, 6, 1, 7, 8, 6, 1, 4, 9, 3, 5, 2],
easy,[0, 0, 0, 3, 5, 0, 0, 0, 7, 3, 5, 0, 0, 8, 2, 4, 6, 9, 8, 7, 4, 6, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 2, 7, 3, 2, 4, 8, 1, 3, 0, 0, 9, 5, 7, 0, 0, 0, 2, 6, 0, 0, 0],[6, 9, 2, 3, 5, 4, 1, 8, 7, 3, 5, 1, 7, 8, 2, 4, 6, 9, 8, 7, 4, 6, 1, 9, 3, 5, 2, 9, 2, 7, 4, 6, 3, 5, 1, 8, 4, 1, 3, 8, 7, 5, 9, 2, 6, 5, 8, 6, 2, 9, 1, 7, 3, 4, 1, 6, 5, 9, 4, 8, 2, 7, 3, 2, 4, 8, 1, 3, 7, 6, 9, 5, 7, 3, 9, 5, 2, 6, 8, 4, 1],
medium,[0, 7, 8, 1, 6, 0, 4, 0, 3, 5, 3, 0, 0, 9, 0, 1, 0, 6, 0, 1, 0, 0, 0, 0, 0, 7, 2, 0, 9, 0, 0, 8, 0, 5, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 3, 0, 4, 8, 0, 0, 0, 0, 0, 9, 0, 7, 0, 3, 0, 5, 0, 0, 4, 8, 1, 0, 9, 0, 4, 8, 3, 6, 0],[9, 7, 8, 1, 6, 2, 4, 5, 3, 5, 3, 2, 4, 9, 7, 1, 8, 6, 6, 1, 4, 8, 3, 5, 9, 7, 2, 3, 9, 7, 2, 8, 6, 5, 1, 4, 8, 5, 1, 3, 7, 4, 6, 2, 9, 2, 4, 6, 5, 1, 9, 8, 3, 7, 4, 8, 5, 6, 2, 3, 7, 9, 1, 7, 6, 3, 9, 5, 1, 2, 4, 8, 1, 2, 9, 7, 4, 8, 3, 6, 5],
medium,[1, 5, 3, 2, 0, 9, 0, 0, 0, 4, 0, 9, 0, 1, 7, 6, 2, 5, 0, 0, 0, 8, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 9, 0, 0, 0, 0, 0, 1, 0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4, 1, 0, 0, 0, 9, 6, 8, 5, 2, 0, 4, 0, 1, 0, 0, 0, 9, 0, 8, 3, 6, 2],[1, 5, 3, 2, 6, 9, 8, 4, 7, 4, 8, 9, 3, 1, 7, 6, 2, 5, 7, 2, 6, 8, 5, 4, 1, 9, 3, 6, 3, 1, 7, 9, 5, 2, 8, 4, 8, 9, 5, 4, 3, 2, 7, 1, 6, 2, 4, 7, 1, 8, 6, 5, 3, 9, 3, 7, 2, 6, 4, 1, 9, 5, 8, 9, 6, 8, 5, 2, 3, 4, 7, 1, 5, 1, 4, 9, 7, 8, 3, 6, 2],
easy,[0, 5, 0, 4, 0, 3, 7, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 3, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 4, 6, 2, 0, 0, 0, 8, 6, 9, 0, 7, 5, 1, 0, 0, 0, 2, 3, 1, 0, 0, 0, 0, 0, 0, 8, 5, 0, 0, 0, 3, 0, 3, 0, 0, 7, 0, 0, 0, 0, 0, 6, 0, 9, 2, 0, 4, 0, 5, 0],[8, 5, 1, 4, 9, 3, 7, 6, 2, 2, 6, 7, 1, 5, 8, 3, 9, 4, 9, 3, 4, 6, 7, 2, 1, 8, 5, 5, 1, 3, 8, 4, 6, 2, 7, 9, 4, 8, 6, 9, 2, 7, 5, 1, 3, 7, 9, 2, 3, 1, 5, 6, 4, 8, 1, 2, 8, 5, 6, 9, 4, 3, 7, 3, 4, 5, 7, 8, 1, 9, 2, 6, 6, 7, 9, 2, 3, 4, 8, 5, 1],
hard,[9, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 3, 4, 0, 9, 2, 0, 0, 7, 0, 2, 9, 0, 8, 1, 0, 4, 0, 7, 0, 5, 0, 0, 0, 0, 0, 5, 0, 8, 0, 4, 0, 0, 0, 0, 0, 3, 0, 6, 0, 1, 0, 3, 7, 0, 2, 5, 0, 9, 0, 0, 2, 5, 0, 8, 6, 7, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 7, 5],[9, 2, 6, 1, 7, 8, 3, 5, 4, 5, 8, 1, 6, 3, 4, 7, 9, 2, 4, 3, 7, 5, 2, 9, 6, 8, 1, 6, 4, 3, 7, 1, 5, 8, 2, 9, 7, 1, 5, 9, 8, 2, 4, 3, 6, 8, 9, 2, 3, 4, 6, 5, 1, 7, 3, 7, 4, 2, 5, 1, 9, 6, 8, 2, 5, 9, 8, 6, 7, 1, 4, 3, 1, 6, 8, 4, 9, 3, 2, 7, 5],
easy,[0, 0, 3, 6, 0, 0, 0, 5, 2, 8, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 5, 4, 8, 0, 0, 6, 0, 2, 3, 7, 8, 5, 0, 6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4, 0, 3, 9, 2, 1, 8, 0, 1, 0, 0, 7, 8, 9, 0, 0, 3, 0, 0, 0, 0, 0, 5, 0, 6, 5, 9, 0, 0, 0, 4, 7, 0, 0],[1, 4, 3, 6, 9, 7, 8, 5, 2, 8, 6, 9, 1, 2, 5, 4, 3, 7, 7, 2, 5, 4, 8, 3, 1, 6, 9, 2, 3, 7, 8, 5, 1, 6, 9, 4, 9, 8, 1, 2, 4, 6, 3, 7, 5, 6, 5, 4, 7, 3, 9, 2, 1, 8, 4, 1, 6, 5, 7, 8, 9, 2, 3, 3, 7, 8, 9, 1, 2, 5, 4, 6, 5, 9, 2, 3, 6, 4, 7, 8, 1],
medium,[0, 3, 1, 0, 0, 0, 8, 0, 7, 5, 0, 0, 8, 0, 0, 3, 2, 4, 0, 2, 0, 7, 0, 0, 5, 0, 0, 2, 0, 0, 0, 7, 0, 1, 4, 0, 0, 0, 3, 2, 0, 9, 6, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 2, 0, 0, 2, 0, 0, 5, 0, 8, 0, 3, 1, 4, 0, 0, 8, 0, 0, 6, 6, 0, 5, 0, 0, 0, 2, 9, 0],[9, 3, 1, 4, 5, 2, 8, 6, 7, 5, 7, 6, 8, 9, 1, 3, 2, 4, 4, 2, 8, 7, 3, 6, 5, 1, 9, 2, 6, 9, 5, 7, 3, 1, 4, 8, 1, 4, 3, 2, 8, 9, 6, 7, 5, 8, 5, 7, 1, 6, 4, 9, 3, 2, 7, 9, 2, 6, 1, 5, 4, 8, 3, 3, 1, 4, 9, 2, 8, 7, 5, 6, 6, 8, 5, 3, 4, 7, 2, 9, 1],
hard,[0, 9, 1, 4, 2, 0, 3, 0, 0, 8, 0, 6, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 2, 1, 3, 5, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 5, 9, 4, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 7, 2, 0, 1, 0, 0, 4, 0, 5, 2, 7, 9, 0],[5, 9, 1, 4, 2, 8, 3, 6, 7, 8, 4, 6, 3, 7, 9, 1, 5, 2, 7, 2, 3, 1, 6, 5, 8, 4, 9, 6, 8, 9, 2, 1, 3, 5, 7, 4, 4, 1, 5, 7, 8, 6, 9, 2, 3, 3, 7, 2, 5, 9, 4, 6, 1, 8, 2, 6, 7, 9, 3, 1, 4, 8, 5, 9, 5, 8, 6, 4, 7, 2, 3, 1, 1, 3, 4, 8, 5, 2, 7, 9, 6],
easy,[2, 0, 6, 0, 9, 0, 0, 5, 0, 4, 3, 0, 8, 0, 6, 0, 1, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 6, 4, 3, 0, 1, 0, 0, 0, 5, 0, 0, 0, 3, 7, 4, 0, 0, 0, 7, 0, 0, 0, 5, 0, 9, 4, 3, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 2, 0, 9, 0, 7, 0, 6, 8, 0, 6, 0, 0, 8, 0, 1, 0, 2],[2, 8, 6, 7, 9, 1, 3, 5, 4, 4, 3, 5, 8, 2, 6, 7, 1, 9, 9, 7, 1, 5, 4, 3, 2, 8, 6, 6, 4, 3, 2, 1, 9, 8, 7, 5, 8, 5, 9, 3, 7, 4, 6, 2, 1, 7, 1, 2, 6, 5, 8, 9, 4, 3, 5, 9, 8, 1, 6, 2, 4, 3, 7, 1, 2, 4, 9, 3, 7, 5, 6, 8, 3, 6, 7, 4, 8, 5, 1, 9, 2],
easy,[0, 3, 8, 0, 9, 0, 0, 0, 2, 0, 0, 1, 3, 0, 8, 0, 5, 9, 5, 0, 2, 0, 0, 7, 6, 8, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 5, 4, 0, 0, 0, 9, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 1, 5, 9, 0, 0, 4, 0, 6, 4, 8, 0, 5, 0, 3, 2, 0, 0, 9, 0, 0, 0, 1, 0, 8, 3, 0],[7, 3, 8, 6, 9, 5, 1, 4, 2, 6, 4, 1, 3, 2, 8, 7, 5, 9, 5, 9, 2, 1, 4, 7, 6, 8, 3, 2, 7, 9, 4, 5, 1, 3, 6, 8, 1, 5, 4, 8, 3, 6, 9, 2, 7, 8, 6, 3, 2, 7, 9, 5, 1, 4, 3, 1, 5, 9, 8, 2, 4, 7, 6, 4, 8, 7, 5, 6, 3, 2, 9, 1, 9, 2, 6, 7, 1, 4, 8, 3, 5],
medium,[0, 1, 0, 5, 9, 4, 0, 0, 3, 0, 0, 7, 0, 6, 3, 0, 0, 8, 0, 9, 0, 0, 2, 8, 0, 1, 0, 8, 0, 0, 0, 3, 6, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 3, 2, 7, 0, 0, 0, 9, 0, 8, 0, 6, 4, 0, 0, 3, 0, 7, 0, 0, 8, 5, 0, 6, 0, 0, 6, 0, 0, 3, 1, 9, 0, 2, 0],[2, 1, 8, 5, 9, 4, 7, 6, 3, 5, 4, 7, 1, 6, 3, 2, 9, 8, 3, 9, 6, 7, 2, 8, 5, 1, 4, 8, 7, 1, 9, 3, 6, 4, 5, 2, 9, 2, 5, 4, 8, 1, 3, 7, 6, 4, 6, 3, 2, 7, 5, 1, 8, 9, 1, 8, 2, 6, 4, 7, 9, 3, 5, 7, 3, 9, 8, 5, 2, 6, 4, 1, 6, 5, 4, 3, 1, 9, 8, 2, 7],
hard,[0, 1, 4, 0, 9, 0, 3, 0, 0, 0, 7, 0, 4, 8, 0, 0, 0, 5, 0, 0, 0, 3, 0, 5, 2, 0, 1, 0, 0, 5, 0, 0, 7, 0, 0, 2, 9, 0, 0, 0, 2, 0, 0, 0, 3, 4, 0, 0, 8, 0, 0, 6, 0, 0, 1, 0, 8, 5, 0, 4, 0, 0, 0, 7, 0, 0, 0, 1, 9, 0, 3, 0, 0, 0, 3, 0, 6, 0, 1, 9, 0],[5, 1, 4, 6, 9, 2, 3, 8, 7, 3, 7, 2, 4, 8, 1, 9, 6, 5, 8, 6, 9, 3, 7, 5, 2, 4, 1, 6, 3, 5, 9, 4, 7, 8, 1, 2, 9, 8, 7, 1, 2, 6, 4, 5, 3, 4, 2, 1, 8, 5, 3, 6, 7, 9, 1, 9, 8, 5, 3, 4, 7, 2, 6, 7, 4, 6, 2, 1, 9, 5, 3, 8, 2, 5, 3, 7, 6, 8, 1, 9, 4],
hard,[0, 1, 0, 7, 0, 6, 5, 0, 0, 8, 0, 7, 3, 0, 9, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7, 9, 7, 0, 0, 1, 0, 0, 3, 0, 0, 0, 9, 0, 4, 0, 3, 0, 8, 0, 0, 0, 4, 0, 0, 8, 0, 0, 1, 1, 8, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 8, 0, 7, 1, 0, 3, 0, 0, 3, 6, 0, 2, 0, 4, 0],[4, 1, 9, 7, 2, 6, 5, 3, 8, 8, 5, 7, 3, 4, 9, 6, 1, 2, 2, 3, 6, 5, 8, 1, 4, 7, 9, 7, 2, 8, 1, 9, 5, 3, 6, 4, 5, 9, 1, 4, 6, 3, 2, 8, 7, 3, 6, 4, 2, 7, 8, 9, 5, 1, 1, 8, 5, 9, 3, 4, 7, 2, 6, 6, 4, 2, 8, 5, 7, 1, 9, 3, 9, 7, 3, 6, 1, 2, 8, 4, 5],
easy,[0, 0, 3, 0, 0, 0, 0, 0, 7, 0, 5, 1, 0, 0, 9, 0, 8, 0, 7, 0, 0, 8, 0, 4, 0, 1, 0, 0, 1, 6, 5, 0, 0, 0, 0, 2, 9, 8, 0, 0, 0, 0, 0, 7, 6, 2, 0, 0, 0, 0, 1, 9, 5, 0, 0, 6, 0, 9, 0, 8, 0, 0, 1, 0, 9, 0, 3, 0, 0, 7, 2, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0],[8, 4, 3, 1, 6, 5, 2, 9, 7, 6, 5, 1, 7, 2, 9, 4, 8, 3, 7, 2, 9, 8, 3, 4, 6, 1, 5, 4, 1, 6, 5, 9, 7, 8, 3, 2, 9, 8, 5, 2, 4, 3, 1, 7, 6, 2, 3, 7, 6, 8, 1, 9, 5, 4, 3, 6, 2, 9, 7, 8, 5, 4, 1, 5, 9, 4, 3, 1, 6, 7, 2, 8, 1, 7, 8, 4, 5, 2, 3, 6, 9],
medium,[8, 0, 0, 0, 0, 0, 0, 0, 4, 9, 0, 0, 6, 1, 0, 5, 0, 0, 0, 5, 0, 0, 0, 7, 1, 0, 9, 0, 0, 5, 0, 9, 1, 6, 0, 3, 0, 2, 0, 3, 0, 4, 0, 9, 0, 7, 0, 9, 5, 6, 0, 8, 0, 0, 1, 0, 3, 2, 0, 0, 0, 5, 0, 0, 0, 8, 0, 5, 9, 0, 0, 7, 5, 0, 0, 0, 0, 0, 0, 0, 8],[8, 1, 6, 9, 2, 5, 3, 7, 4, 9, 7, 4, 6, 1, 3, 5, 8, 2, 3, 5, 2, 8, 4, 7, 1, 6, 9, 4, 8, 5, 7, 9, 1, 6, 2, 3, 6, 2, 1, 3, 8, 4, 7, 9, 5, 7, 3, 9, 5, 6, 2, 8, 4, 1, 1, 4, 3, 2, 7, 8, 9, 5, 6, 2, 6, 8, 1, 5, 9, 4, 3, 7, 5, 9, 7, 4, 3, 6, 2, 1, 8],
easy,[7, 4, 0, 0, 0, 8, 0, 5, 0, 0, 3, 5, 0, 0, 9, 0, 0, 0, 0, 1, 0, 6, 5, 7, 8, 0, 0, 0, 5, 0, 9, 0, 0, 7, 0, 0, 3, 2, 0, 0, 0, 0, 0, 9, 4, 0, 0, 9, 0, 0, 2, 0, 8, 0, 0, 0, 1, 4, 8, 6, 0, 3, 0, 0, 0, 0, 7, 0, 0, 4, 2, 0, 0, 7, 0, 5, 0, 0, 0, 1, 8],[7, 4, 6, 3, 1, 8, 2, 5, 9, 8, 3, 5, 2, 4, 9, 6, 7, 1, 9, 1, 2, 6, 5, 7, 8, 4, 3, 1, 5, 8, 9, 3, 4, 7, 6, 2, 3, 2, 7, 8, 6, 5, 1, 9, 4, 4, 6, 9, 1, 7, 2, 3, 8, 5, 2, 9, 1, 4, 8, 6, 5, 3, 7, 5, 8, 3, 7, 9, 1, 4, 2, 6, 6, 7, 4, 5, 2, 3, 9, 1, 8],
medium,[0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 6, 0, 5, 7, 1, 0, 0, 9, 2, 0, 1, 0, 9, 0, 5, 8, 0, 4, 0, 0, 3, 0, 8, 0, 7, 0, 0, 5, 0, 4, 6, 0, 7, 0, 2, 0, 8, 5, 0, 0, 9, 6, 2, 0, 3, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0],[9, 7, 8, 3, 4, 2, 6, 5, 1, 1, 4, 2, 5, 6, 9, 3, 8, 7, 6, 3, 5, 7, 1, 8, 4, 9, 2, 7, 1, 6, 9, 2, 5, 8, 3, 4, 2, 9, 3, 1, 8, 4, 7, 6, 5, 5, 8, 4, 6, 3, 7, 1, 2, 9, 8, 5, 7, 4, 9, 6, 2, 1, 3, 4, 6, 1, 2, 5, 3, 9, 7, 8, 3, 2, 9, 8, 7, 1, 5, 4, 6],
hard,[6, 2, 0, 0, 7, 9, 0, 1, 0, 7, 8, 0, 5, 0, 1, 0, 9, 6, 0, 9, 0, 8, 0, 0, 0, 4, 0, 2, 7, 0, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 0, 2, 5, 0, 3, 0, 0, 0, 4, 0, 5, 0, 9, 5, 0, 7, 0, 2, 0, 8, 4, 0, 6, 0, 9, 5, 0, 0, 3, 2],[6, 2, 3, 4, 7, 9, 5, 1, 8, 7, 8, 4, 5, 2, 1, 3, 9, 6, 1, 9, 5, 8, 6, 3, 2, 4, 7, 2, 7, 9, 3, 4, 5, 8, 6, 1, 5, 1, 8, 2, 9, 6, 4, 7, 3, 3, 4, 6, 1, 8, 7, 9, 2, 5, 8, 3, 2, 6, 1, 4, 7, 5, 9, 9, 5, 1, 7, 3, 2, 6, 8, 4, 4, 6, 7, 9, 5, 8, 1, 3, 2],
easy,[0, 0, 0, 2, 8, 6, 0, 0, 0, 0, 8, 2, 9, 0, 5, 0, 4, 0, 9, 6, 0, 7, 0, 0, 3, 0, 0, 3, 5, 0, 0, 0, 7, 0, 6, 0, 0, 0, 7, 0, 5, 0, 8, 0, 0, 0, 2, 0, 1, 0, 0, 0, 7, 3, 0, 0, 6, 0, 0, 2, 0, 5, 7, 0, 1, 0, 5, 0, 3, 9, 8, 0, 0, 0, 0, 6, 1, 8, 0, 0, 0],[1, 4, 3, 2, 8, 6, 7, 9, 5, 7, 8, 2, 9, 3, 5, 6, 4, 1, 9, 6, 5, 7, 4, 1, 3, 2, 8, 3, 5, 1, 8, 2, 7, 4, 6, 9, 6, 9, 7, 3, 5, 4, 8, 1, 2, 4, 2, 8, 1, 6, 9, 5, 7, 3, 8, 3, 6, 4, 9, 2, 1, 5, 7, 2, 1, 4, 5, 7, 3, 9, 8, 6, 5, 7, 9, 6, 1, 8, 2, 3, 4],
medium,[2, 0, 6, 0, 0, 0, 0, 4, 3, 0, 5, 4, 3, 6, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 0, 0, 5, 0, 1, 0, 0, 3, 0, 8, 1, 7, 0, 0, 0, 6, 5, 2, 0, 3, 0, 0, 8, 0, 4, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 2, 8, 1, 9, 0, 5, 2, 0, 0, 0, 0, 8, 0, 4],[2, 9, 6, 8, 5, 1, 7, 4, 3, 1, 5, 4, 3, 6, 7, 2, 8, 9, 3, 7, 8, 2, 9, 4, 5, 6, 1, 6, 4, 5, 7, 1, 2, 9, 3, 8, 8, 1, 7, 9, 4, 3, 6, 5, 2, 9, 3, 2, 6, 8, 5, 4, 1, 7, 4, 8, 1, 5, 7, 9, 3, 2, 6, 7, 6, 3, 4, 2, 8, 1, 9, 5, 5, 2, 9, 1, 3, 6, 8, 7, 4],
easy,[0, 0, 0, 0, 0, 2, 6, 0, 3, 0, 0, 0, 8, 6, 0, 9, 2, 0, 0, 7, 0, 0, 0, 0, 0, 0, 8, 0, 9, 4, 0, 8, 0, 5, 0, 2, 0, 1, 0, 3, 2, 9, 0, 8, 0, 8, 0, 2, 0, 4, 0, 7, 1, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 8, 0, 7, 6, 0, 0, 0, 3, 0, 9, 2, 0, 0, 0, 0, 0],[9, 8, 1, 7, 5, 2, 6, 4, 3, 4, 5, 3, 8, 6, 1, 9, 2, 7, 2, 7, 6, 4, 9, 3, 1, 5, 8, 6, 9, 4, 1, 8, 7, 5, 3, 2, 7, 1, 5, 3, 2, 9, 4, 8, 6, 8, 3, 2, 6, 4, 5, 7, 1, 9, 5, 4, 7, 9, 3, 8, 2, 6, 1, 1, 2, 8, 5, 7, 6, 3, 9, 4, 3, 6, 9, 2, 1, 4, 8, 7, 5],
medium,[0, 0, 2, 0, 0, 6, 5, 8, 9, 0, 0, 0, 2, 1, 0, 4, 0, 3, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 6, 3, 0, 0, 2, 0, 0, 0, 2, 8, 1, 0, 4, 0, 6, 9, 7, 0, 0, 0, 6, 0, 0, 3, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0, 3, 9, 0, 0, 0, 5, 3, 9, 8, 0, 0, 1, 0, 0],[3, 1, 2, 4, 7, 6, 5, 8, 9, 9, 5, 6, 2, 1, 8, 4, 7, 3, 8, 7, 4, 9, 5, 3, 2, 1, 6, 4, 6, 3, 7, 9, 2, 8, 5, 1, 2, 8, 1, 3, 4, 5, 6, 9, 7, 7, 9, 5, 6, 8, 1, 3, 4, 2, 1, 2, 7, 5, 6, 4, 9, 3, 8, 6, 4, 8, 1, 3, 9, 7, 2, 5, 5, 3, 9, 8, 2, 7, 1, 6, 4],
easy,[8, 0, 0, 5, 6, 0, 0, 0, 0, 0, 7, 1, 9, 0, 0, 0, 8, 0, 0, 4, 6, 0, 8, 0, 0, 9, 3, 0, 0, 0, 0, 0, 9, 0, 6, 4, 0, 0, 9, 2, 0, 6, 1, 0, 0, 7, 6, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 3, 0, 8, 7, 0, 0, 3, 0, 0, 0, 7, 6, 4, 0, 0, 0, 0, 0, 9, 2, 0, 0, 1],[8, 9, 2, 5, 6, 3, 4, 1, 7, 3, 7, 1, 9, 2, 4, 5, 8, 6, 5, 4, 6, 7, 8, 1, 2, 9, 3, 2, 1, 8, 3, 5, 9, 7, 6, 4, 4, 5, 9, 2, 7, 6, 1, 3, 8, 7, 6, 3, 1, 4, 8, 9, 2, 5, 1, 2, 4, 6, 3, 5, 8, 7, 9, 9, 3, 5, 8, 1, 7, 6, 4, 2, 6, 8, 7, 4, 9, 2, 3, 5, 1],
easy,[8, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 7, 0, 0, 4, 2, 0, 6, 8, 5, 4, 0, 9, 3, 0, 9, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 7, 8, 0, 6, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0, 1, 3, 0, 5, 2, 6, 9, 0, 7, 7, 0, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 2],[8, 4, 1, 9, 3, 2, 7, 5, 6, 3, 5, 9, 6, 1, 7, 8, 2, 4, 2, 7, 6, 8, 5, 4, 1, 9, 3, 5, 9, 7, 1, 6, 3, 2, 4, 8, 4, 1, 3, 2, 7, 8, 5, 6, 9, 6, 2, 8, 4, 9, 5, 3, 7, 1, 1, 3, 4, 5, 2, 6, 9, 8, 7, 7, 6, 2, 3, 8, 9, 4, 1, 5, 9, 8, 5, 7, 4, 1, 6, 3, 2],
hard,[7, 0, 4, 2, 0, 0, 0, 5, 0, 6, 0, 0, 7, 5, 1, 4, 0, 3, 0, 0, 0, 0, 4, 0, 1, 0, 6, 0, 0, 2, 0, 9, 0, 0, 0, 0, 9, 0, 0, 8, 0, 6, 0, 0, 7, 0, 0, 0, 0, 3, 0, 2, 0, 0, 1, 0, 9, 0, 8, 0, 0, 0, 0, 2, 0, 3, 5, 7, 9, 0, 0, 4, 0, 8, 0, 0, 0, 2, 6, 0, 5],[7, 1, 4, 2, 6, 3, 9, 5, 8, 6, 9, 8, 7, 5, 1, 4, 2, 3, 3, 2, 5, 9, 4, 8, 1, 7, 6, 8, 7, 2, 4, 9, 5, 3, 6, 1, 9, 3, 1, 8, 2, 6, 5, 4, 7, 5, 4, 6, 1, 3, 7, 2, 8, 9, 1, 5, 9, 6, 8, 4, 7, 3, 2, 2, 6, 3, 5, 7, 9, 8, 1, 4, 4, 8, 7, 3, 1, 2, 6, 9, 5],
easy,[0, 7, 0, 9, 3, 0, 1, 0, 8, 0, 0, 0, 6, 0, 0, 0, 9, 4, 9, 8, 0, 4, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 8, 3, 1, 0, 0, 0, 2, 3, 0, 6, 8, 0, 0, 0, 3, 5, 7, 0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 9, 0, 4, 6, 6, 4, 0, 0, 0, 3, 0, 0, 0, 2, 0, 9, 0, 6, 4, 0, 3, 0],[4, 7, 6, 9, 3, 5, 1, 2, 8, 5, 2, 3, 6, 8, 1, 7, 9, 4, 9, 8, 1, 4, 2, 7, 6, 5, 3, 7, 6, 4, 5, 9, 8, 3, 1, 2, 1, 9, 2, 3, 4, 6, 8, 7, 5, 8, 3, 5, 7, 1, 2, 4, 6, 9, 3, 5, 8, 1, 7, 9, 2, 4, 6, 6, 4, 7, 2, 5, 3, 9, 8, 1, 2, 1, 9, 8, 6, 4, 5, 3, 7],
hard,[0, 0, 0, 5, 1, 0, 9, 0, 0, 1, 5, 2, 7, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0, 5, 6, 7, 0, 0, 0, 4, 9, 0, 2, 0, 0, 9, 5, 0, 0, 0, 3, 6, 0, 0, 1, 0, 2, 6, 0, 0, 0, 7, 8, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 6, 4, 8, 0, 0, 6, 0, 3, 4, 0, 0, 0],[6, 8, 4, 5, 1, 3, 9, 7, 2, 1, 5, 2, 7, 9, 6, 4, 8, 3, 3, 7, 9, 4, 8, 2, 1, 5, 6, 7, 6, 8, 3, 4, 9, 5, 2, 1, 2, 9, 5, 1, 7, 8, 3, 6, 4, 4, 1, 3, 2, 6, 5, 8, 9, 7, 8, 4, 7, 6, 5, 1, 2, 3, 9, 5, 3, 1, 9, 2, 7, 6, 4, 8, 9, 2, 6, 8, 3, 4, 7, 1, 5],
medium,[0, 6, 0, 3, 5, 0, 0, 0, 0, 0, 7, 5, 0, 0, 4, 6, 0, 0, 0, 4, 1, 0, 6, 0, 0, 9, 0, 0, 3, 0, 9, 8, 0, 0, 0, 6, 8, 0, 6, 0, 0, 0, 9, 0, 7, 7, 0, 0, 0, 2, 5, 0, 3, 0, 0, 5, 0, 0, 9, 0, 3, 1, 0, 0, 0, 3, 5, 0, 0, 2, 7, 0, 0, 0, 0, 0, 7, 3, 0, 6, 0],[2, 6, 8, 3, 5, 9, 7, 4, 1, 9, 7, 5, 2, 1, 4, 6, 8, 3, 3, 4, 1, 7, 6, 8, 5, 9, 2, 5, 3, 4, 9, 8, 7, 1, 2, 6, 8, 2, 6, 4, 3, 1, 9, 5, 7, 7, 1, 9, 6, 2, 5, 4, 3, 8, 6, 5, 7, 8, 9, 2, 3, 1, 4, 1, 8, 3, 5, 4, 6, 2, 7, 9, 4, 9, 2, 1, 7, 3, 8, 6, 5],
hard,[0, 0, 5, 1, 0, 0, 0, 7, 4, 0, 0, 0, 0, 0, 9, 0, 0, 1, 0, 4, 6, 8, 0, 0, 2, 0, 3, 9, 1, 2, 0, 8, 4, 0, 0, 0, 0, 0, 3, 0, 6, 0, 4, 0, 0, 0, 0, 0, 5, 2, 0, 7, 1, 9, 5, 0, 1, 0, 0, 2, 9, 4, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 6, 3, 0, 0, 0, 8, 5, 0, 0],[2, 9, 5, 1, 3, 6, 8, 7, 4, 3, 7, 8, 2, 4, 9, 6, 5, 1, 1, 4, 6, 8, 5, 7, 2, 9, 3, 9, 1, 2, 7, 8, 4, 3, 6, 5, 7, 5, 3, 9, 6, 1, 4, 8, 2, 8, 6, 4, 5, 2, 3, 7, 1, 9, 5, 8, 1, 3, 7, 2, 9, 4, 6, 4, 2, 7, 6, 9, 5, 1, 3, 8, 6, 3, 9, 4, 1, 8, 5, 2, 7],
easy,[0, 0, 1, 0, 0, 2, 0, 0, 5, 0, 3, 7, 1, 6, 0, 9, 0, 0, 0, 0, 0, 9, 3, 5, 1, 0, 0, 7, 0, 3, 8, 0, 0, 0, 0, 0, 2, 6, 9, 0, 0, 0, 5, 4, 8, 0, 0, 0, 0, 0, 9, 7, 0, 6, 0, 0, 6, 2, 9, 3, 0, 0, 0, 0, 0, 8, 0, 5, 1, 4, 2, 0, 1, 0, 0, 4, 0, 0, 6, 0, 0],[9, 4, 1, 7, 8, 2, 3, 6, 5, 5, 3, 7, 1, 6, 4, 9, 8, 2, 6, 8, 2, 9, 3, 5, 1, 7, 4, 7, 5, 3, 8, 4, 6, 2, 1, 9, 2, 6, 9, 3, 1, 7, 5, 4, 8, 8, 1, 4, 5, 2, 9, 7, 3, 6, 4, 7, 6, 2, 9, 3, 8, 5, 1, 3, 9, 8, 6, 5, 1, 4, 2, 7, 1, 2, 5, 4, 7, 8, 6, 9, 3],
easy,[0, 0, 0, 6, 0, 0, 2, 0, 0, 4, 0, 2, 7, 0, 9, 0, 8, 6, 0, 0, 7, 0, 0, 0, 0, 1, 4, 0, 0, 9, 4, 1, 7, 0, 0, 2, 0, 0, 0, 5, 0, 2, 0, 0, 0, 2, 0, 0, 3, 6, 8, 7, 0, 0, 1, 5, 0, 0, 0, 0, 4, 0, 0, 7, 9, 0, 2, 0, 3, 8, 0, 1, 0, 0, 8, 0, 0, 4, 0, 0, 0],[8, 3, 5, 6, 4, 1, 2, 7, 9, 4, 1, 2, 7, 3, 9, 5, 8, 6, 9, 6, 7, 8, 2, 5, 3, 1, 4, 5, 8, 9, 4, 1, 7, 6, 3, 2, 3, 7, 6, 5, 9, 2, 1, 4, 8, 2, 4, 1, 3, 6, 8, 7, 9, 5, 1, 5, 3, 9, 8, 6, 4, 2, 7, 7, 9, 4, 2, 5, 3, 8, 6, 1, 6, 2, 8, 1, 7, 4, 9, 5, 3],
easy,[0, 0, 4, 0, 8, 0, 0, 9, 6, 6, 0, 0, 0, 5, 3, 0, 1, 4, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 5, 0, 1, 2, 0, 0, 8, 1, 4, 2, 0, 0, 0, 6, 7, 9, 7, 0, 0, 6, 4, 0, 1, 0, 0, 0, 5, 0, 0, 7, 0, 0, 0, 0, 3, 1, 0, 5, 6, 0, 0, 0, 2, 2, 7, 0, 0, 9, 0, 4, 0, 0],[5, 3, 4, 1, 8, 7, 2, 9, 6, 6, 2, 7, 9, 5, 3, 8, 1, 4, 8, 9, 1, 4, 2, 6, 5, 3, 7, 9, 6, 5, 7, 1, 2, 3, 4, 8, 1, 4, 2, 8, 3, 5, 6, 7, 9, 7, 8, 3, 6, 4, 9, 1, 2, 5, 4, 5, 8, 2, 7, 1, 9, 6, 3, 3, 1, 9, 5, 6, 4, 7, 8, 2, 2, 7, 6, 3, 9, 8, 4, 5, 1],
easy,[0, 3, 1, 5, 0, 0, 0, 0, 7, 0, 8, 0, 6, 0, 0, 2, 3, 0, 4, 6, 7, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 4, 0, 0, 1, 2, 0, 0, 3, 1, 0, 5, 6, 0, 0, 1, 9, 0, 0, 7, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 9, 4, 3, 0, 7, 4, 0, 0, 8, 0, 2, 0, 9, 0, 0, 0, 0, 1, 7, 8, 0],[2, 3, 1, 5, 9, 4, 8, 6, 7, 5, 8, 9, 6, 1, 7, 2, 3, 4, 4, 6, 7, 2, 8, 3, 5, 9, 1, 7, 5, 6, 8, 4, 9, 3, 1, 2, 8, 4, 3, 1, 2, 5, 6, 7, 9, 1, 9, 2, 3, 7, 6, 4, 5, 8, 6, 1, 8, 7, 5, 2, 9, 4, 3, 3, 7, 4, 9, 6, 8, 1, 2, 5, 9, 2, 5, 4, 3, 1, 7, 8, 6],
hard,[2, 8, 0, 0, 7, 0, 0, 0, 0, 9, 7, 0, 8, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 9, 0, 8, 0, 0, 0, 0, 0, 0, 3, 7, 2, 5, 0, 3, 2, 0, 8, 0, 1, 4, 0, 1, 9, 7, 2, 0, 0, 0, 0, 0, 0, 5, 0, 9, 6, 0, 0, 0, 0, 4, 0, 0, 7, 0, 5, 0, 9, 8, 0, 0, 0, 0, 4, 0, 0, 1, 6],[2, 8, 1, 5, 7, 6, 9, 3, 4, 9, 7, 4, 8, 3, 2, 6, 5, 1, 3, 6, 5, 4, 1, 9, 2, 8, 7, 6, 4, 8, 1, 9, 3, 7, 2, 5, 5, 3, 2, 6, 8, 7, 1, 4, 9, 1, 9, 7, 2, 5, 4, 8, 6, 3, 8, 5, 3, 9, 6, 1, 4, 7, 2, 4, 1, 6, 7, 2, 5, 3, 9, 8, 7, 2, 9, 3, 4, 8, 5, 1, 6],
easy,[0, 0, 0, 0, 0, 0, 7, 1, 0, 3, 0, 0, 9, 0, 4, 6, 0, 8, 0, 7, 0, 2, 1, 0, 4, 0, 9, 0, 5, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 1, 0, 7, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 9, 0, 5, 0, 9, 0, 4, 3, 0, 6, 0, 2, 0, 6, 7, 0, 1, 0, 0, 5, 0, 4, 3, 0, 0, 0, 0, 0, 0],[9, 6, 4, 3, 8, 5, 7, 1, 2, 3, 2, 1, 9, 7, 4, 6, 5, 8, 8, 7, 5, 2, 1, 6, 4, 3, 9, 1, 5, 2, 4, 3, 9, 8, 7, 6, 4, 9, 8, 1, 6, 7, 5, 2, 3, 6, 3, 7, 5, 2, 8, 1, 9, 4, 5, 1, 9, 8, 4, 3, 2, 6, 7, 2, 8, 6, 7, 9, 1, 3, 4, 5, 7, 4, 3, 6, 5, 2, 9, 8, 1],
easy,[8, 0, 3, 6, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 9, 9, 2, 0, 0, 3, 0, 6, 5, 0, 0, 0, 5, 9, 0, 4, 8, 0, 0, 0, 0, 9, 8, 0, 3, 5, 0, 0, 0, 0, 8, 2, 0, 5, 1, 0, 0, 0, 9, 6, 0, 4, 0, 0, 2, 5, 4, 0, 1, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 6, 7, 0, 4],[8, 5, 3, 6, 2, 9, 4, 7, 1, 6, 1, 4, 5, 8, 7, 2, 3, 9, 9, 2, 7, 4, 3, 1, 6, 5, 8, 2, 7, 5, 9, 1, 4, 8, 6, 3, 1, 6, 9, 8, 7, 3, 5, 4, 2, 3, 4, 8, 2, 6, 5, 1, 9, 7, 7, 9, 6, 1, 4, 8, 3, 2, 5, 4, 3, 1, 7, 5, 2, 9, 8, 6, 5, 8, 2, 3, 9, 6, 7, 1, 4],
medium,[5, 1, 0, 0, 9, 2, 0, 0, 0, 0, 9, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 7, 0, 9, 0, 1, 0, 6, 7, 0, 0, 5, 0, 9, 0, 7, 0, 9, 0, 5, 0, 4, 0, 9, 0, 5, 0, 0, 3, 1, 0, 7, 0, 5, 0, 4, 3, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 6, 0, 0, 0, 0, 6, 2, 0, 0, 5, 3],[5, 1, 4, 3, 9, 2, 8, 7, 6, 7, 9, 3, 8, 5, 6, 2, 1, 4, 8, 6, 2, 1, 4, 7, 3, 9, 5, 1, 2, 6, 7, 8, 4, 5, 3, 9, 3, 7, 8, 9, 1, 5, 6, 4, 2, 9, 4, 5, 2, 6, 3, 1, 8, 7, 6, 5, 1, 4, 3, 9, 7, 2, 8, 2, 3, 9, 5, 7, 8, 4, 6, 1, 4, 8, 7, 6, 2, 1, 9, 5, 3],
medium,[0, 2, 0, 0, 0, 0, 0, 0, 7, 7, 5, 0, 0, 2, 0, 6, 4, 0, 3, 4, 0, 7, 1, 8, 0, 5, 0, 0, 8, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 3, 0, 0, 0, 0, 0, 5, 0, 0, 6, 0, 2, 0, 0, 3, 0, 6, 8, 2, 0, 1, 4, 0, 1, 4, 0, 3, 0, 0, 6, 5, 6, 0, 0, 0, 0, 0, 0, 3, 0],[9, 2, 1, 5, 6, 4, 3, 8, 7, 7, 5, 8, 3, 2, 9, 6, 4, 1, 3, 4, 6, 7, 1, 8, 9, 5, 2, 4, 8, 3, 2, 9, 5, 1, 7, 6, 2, 6, 7, 1, 4, 3, 5, 9, 8, 1, 9, 5, 8, 7, 6, 4, 2, 3, 5, 3, 9, 6, 8, 2, 7, 1, 4, 8, 1, 4, 9, 3, 7, 2, 6, 5, 6, 7, 2, 4, 5, 1, 8, 3, 9],
easy,[0, 9, 2, 6, 0, 1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 1, 0, 0, 1, 8, 4, 0, 0, 2, 5, 7, 6, 0, 0, 0, 0, 0, 9, 0, 6, 0, 8, 2, 0, 0, 7, 0, 0, 5, 3, 0, 6, 0, 1, 0, 0, 0, 0, 0, 6, 4, 3, 2, 0, 0, 8, 1, 7, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 7, 0, 4, 3, 9, 0],[7, 9, 2, 6, 5, 1, 4, 3, 8, 3, 5, 6, 8, 4, 7, 1, 2, 9, 1, 8, 4, 9, 3, 2, 5, 7, 6, 4, 3, 7, 5, 8, 9, 2, 6, 1, 8, 2, 1, 4, 7, 6, 9, 5, 3, 5, 6, 9, 1, 2, 3, 7, 8, 4, 6, 4, 3, 2, 9, 5, 8, 1, 7, 9, 7, 5, 3, 1, 8, 6, 4, 2, 2, 1, 8, 7, 6, 4, 3, 9, 5],
medium,[5, 0, 0, 0, 0, 0, 6, 0, 0, 7, 4, 0, 0, 6, 0, 0, 3, 5, 1, 0, 6, 0, 0, 7, 0, 8, 0, 0, 0, 0, 9, 1, 8, 0, 2, 0, 0, 1, 7, 2, 0, 5, 8, 4, 0, 0, 8, 0, 7, 4, 6, 0, 0, 0, 0, 7, 0, 6, 0, 0, 5, 0, 4, 6, 3, 0, 0, 9, 0, 0, 7, 8, 0, 0, 9, 0, 0, 0, 0, 0, 1],[5, 2, 3, 4, 8, 9, 6, 1, 7, 7, 4, 8, 1, 6, 2, 9, 3, 5, 1, 9, 6, 3, 5, 7, 4, 8, 2, 4, 6, 5, 9, 1, 8, 7, 2, 3, 9, 1, 7, 2, 3, 5, 8, 4, 6, 3, 8, 2, 7, 4, 6, 1, 5, 9, 8, 7, 1, 6, 2, 3, 5, 9, 4, 6, 3, 4, 5, 9, 1, 2, 7, 8, 2, 5, 9, 8, 7, 4, 3, 6, 1],
medium,[0, 0, 6, 9, 0, 4, 0, 7, 3, 0, 0, 0, 0, 0, 3, 1, 2, 6, 0, 0, 7, 0, 0, 0, 8, 9, 0, 0, 0, 5, 0, 7, 2, 0, 4, 0, 0, 0, 1, 0, 3, 0, 2, 0, 0, 0, 4, 0, 6, 1, 0, 9, 0, 0, 0, 7, 3, 0, 0, 0, 6, 0, 0, 5, 9, 8, 3, 0, 0, 0, 0, 0, 6, 2, 0, 5, 0, 1, 7, 0, 0],[8, 1, 6, 9, 2, 4, 5, 7, 3, 4, 5, 9, 7, 8, 3, 1, 2, 6, 2, 3, 7, 1, 5, 6, 8, 9, 4, 9, 6, 5, 8, 7, 2, 3, 4, 1, 7, 8, 1, 4, 3, 9, 2, 6, 5, 3, 4, 2, 6, 1, 5, 9, 8, 7, 1, 7, 3, 2, 4, 8, 6, 5, 9, 5, 9, 8, 3, 6, 7, 4, 1, 2, 6, 2, 4, 5, 9, 1, 7, 3, 8],
medium,[0, 8, 0, 1, 5, 0, 0, 9, 6, 0, 0, 0, 4, 0, 0, 0, 8, 3, 0, 0, 5, 3, 6, 0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 0, 6, 2, 4, 0, 0, 7, 3, 6, 0, 0, 8, 5, 6, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 1, 4, 6, 0, 0, 2, 5, 0, 0, 0, 3, 0, 0, 0, 6, 1, 0, 0, 8, 5, 0, 4, 0],[3, 8, 2, 1, 5, 7, 4, 9, 6, 1, 7, 6, 4, 9, 2, 5, 8, 3, 9, 4, 5, 3, 6, 8, 7, 2, 1, 8, 3, 7, 5, 4, 9, 1, 6, 2, 4, 2, 1, 7, 3, 6, 9, 5, 8, 5, 6, 9, 8, 2, 1, 3, 7, 4, 7, 9, 8, 2, 1, 4, 6, 3, 5, 2, 5, 4, 6, 7, 3, 8, 1, 9, 6, 1, 3, 9, 8, 5, 2, 4, 7],
easy,[4, 0, 0, 7, 0, 0, 3, 6, 9, 0, 3, 9, 4, 0, 6, 0, 8, 0, 0, 6, 8, 0, 0, 9, 0, 0, 5, 0, 0, 0, 0, 9, 0, 7, 0, 0, 8, 0, 0, 3, 0, 5, 0, 0, 1, 0, 0, 3, 0, 4, 0, 0, 0, 0, 9, 0, 0, 5, 0, 0, 1, 7, 0, 0, 1, 0, 8, 0, 2, 5, 9, 0, 3, 5, 7, 0, 0, 4, 0, 0, 6],[4, 2, 5, 7, 8, 1, 3, 6, 9, 1, 3, 9, 4, 5, 6, 2, 8, 7, 7, 6, 8, 2, 3, 9, 4, 1, 5, 5, 4, 1, 6, 9, 8, 7, 3, 2, 8, 7, 6, 3, 2, 5, 9, 4, 1, 2, 9, 3, 1, 4, 7, 6, 5, 8, 9, 8, 2, 5, 6, 3, 1, 7, 4, 6, 1, 4, 8, 7, 2, 5, 9, 3, 3, 5, 7, 9, 1, 4, 8, 2, 6],
easy,[8, 0, 0, 3, 0, 6, 7, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 6, 0, 9, 3, 0, 0, 0, 0, 2, 0, 5, 0, 7, 0, 4, 0, 1, 0, 0, 4, 6, 0, 0, 3, 0, 0, 8, 7, 0, 0, 9, 0, 6, 0, 2, 0, 5, 0, 3, 0, 0, 0, 0, 4, 5, 0, 9, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 6, 4, 0, 5, 0, 0, 1],[8, 2, 1, 3, 5, 6, 7, 9, 4, 7, 5, 4, 9, 8, 2, 3, 1, 6, 6, 9, 3, 1, 7, 4, 5, 2, 8, 5, 8, 7, 2, 4, 9, 1, 6, 3, 4, 6, 2, 5, 3, 1, 9, 8, 7, 3, 1, 9, 7, 6, 8, 2, 4, 5, 1, 3, 8, 6, 2, 7, 4, 5, 9, 9, 4, 5, 8, 1, 3, 6, 7, 2, 2, 7, 6, 4, 9, 5, 8, 3, 1],
medium,[5, 7, 8, 2, 0, 0, 0, 9, 0, 2, 4, 9, 0, 0, 0, 0, 3, 0, 0, 3, 0, 5, 0, 4, 2, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 6, 0, 0, 0, 1, 0, 6, 0, 0, 0, 9, 0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 6, 3, 0, 8, 0, 2, 0, 0, 8, 0, 0, 0, 0, 5, 6, 3, 0, 9, 0, 0, 0, 5, 1, 7, 8],[5, 7, 8, 2, 6, 3, 4, 9, 1, 2, 4, 9, 7, 8, 1, 6, 3, 5, 6, 3, 1, 5, 9, 4, 2, 8, 7, 7, 1, 5, 8, 2, 9, 3, 4, 6, 8, 2, 4, 1, 3, 6, 7, 5, 9, 9, 6, 3, 4, 5, 7, 8, 1, 2, 1, 5, 6, 3, 7, 8, 9, 2, 4, 4, 8, 7, 9, 1, 2, 5, 6, 3, 3, 9, 2, 6, 4, 5, 1, 7, 8],
medium,[0, 2, 0, 0, 0, 0, 8, 0, 0, 1, 7, 0, 5, 8, 0, 0, 2, 0, 5, 0, 0, 1, 3, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 7, 0, 4, 0, 8, 0, 6, 4, 3, 0, 5, 0, 4, 0, 5, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 7, 6, 0, 0, 9, 0, 1, 0, 0, 5, 4, 0, 6, 8, 0, 0, 6, 0, 0, 0, 0, 7, 0],[9, 2, 3, 4, 6, 7, 8, 1, 5, 1, 7, 4, 5, 8, 9, 6, 2, 3, 5, 6, 8, 1, 3, 2, 4, 9, 7, 6, 3, 1, 9, 2, 5, 7, 8, 4, 2, 8, 7, 6, 4, 3, 9, 5, 1, 4, 9, 5, 7, 1, 8, 2, 3, 6, 3, 5, 2, 8, 7, 6, 1, 4, 9, 7, 1, 9, 2, 5, 4, 3, 6, 8, 8, 4, 6, 3, 9, 1, 5, 7, 2],
hard,[1, 0, 0, 0, 2, 0, 5, 0, 6, 0, 0, 5, 0, 0, 0, 0, 9, 0, 2, 0, 0, 5, 0, 1, 0, 0, 8, 0, 7, 0, 0, 0, 4, 9, 1, 0, 5, 2, 9, 1, 0, 8, 3, 6, 4, 0, 1, 3, 2, 0, 0, 0, 5, 0, 3, 0, 0, 6, 0, 2, 0, 0, 5, 0, 5, 0, 0, 0, 0, 6, 0, 0, 9, 0, 1, 0, 4, 0, 0, 0, 3],[1, 8, 4, 9, 2, 7, 5, 3, 6, 7, 3, 5, 4, 8, 6, 2, 9, 1, 2, 9, 6, 5, 3, 1, 4, 7, 8, 6, 7, 8, 3, 5, 4, 9, 1, 2, 5, 2, 9, 1, 7, 8, 3, 6, 4, 4, 1, 3, 2, 6, 9, 8, 5, 7, 3, 4, 7, 6, 9, 2, 1, 8, 5, 8, 5, 2, 7, 1, 3, 6, 4, 9, 9, 6, 1, 8, 4, 5, 7, 2, 3],
easy,[4, 2, 7, 0, 0, 5, 0, 0, 6, 0, 1, 0, 0, 0, 0, 0, 0, 5, 9, 0, 0, 2, 8, 0, 7, 0, 0, 5, 0, 0, 3, 9, 0, 0, 0, 0, 0, 8, 2, 5, 0, 6, 1, 9, 0, 0, 0, 0, 0, 1, 2, 0, 0, 3, 0, 0, 9, 0, 4, 3, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 9, 0, 0, 4, 6, 7],[4, 2, 7, 1, 3, 5, 9, 8, 6, 8, 1, 3, 7, 6, 9, 2, 4, 5, 9, 6, 5, 2, 8, 4, 7, 3, 1, 5, 4, 1, 3, 9, 8, 6, 7, 2, 3, 8, 2, 5, 7, 6, 1, 9, 4, 7, 9, 6, 4, 1, 2, 8, 5, 3, 1, 7, 9, 6, 4, 3, 5, 2, 8, 6, 5, 4, 8, 2, 7, 3, 1, 9, 2, 3, 8, 9, 5, 1, 4, 6, 7],
easy,[0, 0, 1, 0, 0, 0, 0, 5, 8, 0, 5, 4, 0, 3, 7, 0, 0, 1, 8, 9, 0, 0, 0, 0, 6, 7, 3, 0, 0, 9, 0, 8, 2, 0, 0, 0, 1, 0, 8, 0, 0, 0, 9, 0, 6, 0, 0, 0, 1, 9, 0, 8, 0, 0, 4, 1, 3, 0, 0, 0, 0, 8, 2, 7, 0, 0, 2, 5, 0, 1, 4, 0, 9, 2, 0, 0, 0, 0, 3, 0, 0],[3, 7, 1, 9, 2, 6, 4, 5, 8, 6, 5, 4, 8, 3, 7, 2, 9, 1, 8, 9, 2, 5, 4, 1, 6, 7, 3, 5, 3, 9, 6, 8, 2, 7, 1, 4, 1, 4, 8, 3, 7, 5, 9, 2, 6, 2, 6, 7, 1, 9, 4, 8, 3, 5, 4, 1, 3, 7, 6, 9, 5, 8, 2, 7, 8, 6, 2, 5, 3, 1, 4, 9, 9, 2, 5, 4, 1, 8, 3, 6, 7],
hard,[0, 0, 0, 2, 0, 9, 4, 0, 3, 3, 0, 9, 0, 0, 0, 7, 0, 0, 5, 2, 0, 0, 1, 0, 9, 0, 0, 0, 8, 0, 1, 3, 0, 6, 4, 0, 0, 0, 5, 7, 0, 6, 1, 0, 0, 0, 3, 6, 0, 9, 4, 0, 7, 0, 0, 0, 1, 0, 4, 0, 0, 2, 7, 0, 0, 3, 0, 0, 0, 8, 0, 1, 2, 0, 7, 9, 0, 1, 0, 0, 0],[6, 7, 8, 2, 5, 9, 4, 1, 3, 3, 1, 9, 4, 6, 8, 7, 5, 2, 5, 2, 4, 3, 1, 7, 9, 8, 6, 7, 8, 2, 1, 3, 5, 6, 4, 9, 9, 4, 5, 7, 2, 6, 1, 3, 8, 1, 3, 6, 8, 9, 4, 2, 7, 5, 8, 9, 1, 6, 4, 3, 5, 2, 7, 4, 6, 3, 5, 7, 2, 8, 9, 1, 2, 5, 7, 9, 8, 1, 3, 6, 4],
easy,[0, 8, 0, 5, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 5, 4, 0, 7, 2, 0, 8, 3, 0, 0, 0, 3, 0, 0, 0, 7, 8, 0, 3, 2, 7, 0, 6, 5, 9, 0, 9, 4, 0, 0, 0, 8, 0, 0, 0, 4, 2, 0, 8, 9, 0, 3, 1, 6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 4, 0],[2, 8, 9, 5, 3, 1, 7, 6, 4, 3, 7, 6, 9, 8, 4, 1, 2, 5, 1, 5, 4, 6, 7, 2, 9, 8, 3, 5, 6, 1, 3, 2, 9, 4, 7, 8, 8, 3, 2, 7, 4, 6, 5, 9, 1, 9, 4, 7, 1, 5, 8, 6, 3, 2, 4, 2, 5, 8, 9, 7, 3, 1, 6, 7, 1, 8, 4, 6, 3, 2, 5, 9, 6, 9, 3, 2, 1, 5, 8, 4, 7],
easy,[1, 0, 2, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 7, 8, 5, 0, 7, 0, 0, 0, 0, 0, 2, 9, 0, 6, 0, 7, 0, 4, 0, 1, 0, 0, 0, 7, 9, 8, 5, 2, 0, 0, 0, 2, 0, 1, 0, 3, 0, 5, 0, 7, 9, 0, 0, 0, 0, 0, 6, 0, 6, 5, 3, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 5, 0, 3],[1, 8, 2, 5, 9, 7, 6, 3, 4, 9, 3, 6, 2, 4, 1, 7, 8, 5, 4, 7, 5, 8, 3, 6, 1, 2, 9, 5, 6, 9, 7, 2, 4, 3, 1, 8, 3, 1, 7, 9, 8, 5, 2, 4, 6, 8, 2, 4, 1, 6, 3, 9, 5, 7, 7, 9, 1, 3, 5, 8, 4, 6, 2, 6, 5, 3, 4, 7, 2, 8, 9, 1, 2, 4, 8, 6, 1, 9, 5, 7, 3],
hard,[0, 3, 0, 0, 0, 9, 0, 0, 0, 0, 7, 9, 8, 6, 2, 4, 3, 0, 5, 2, 0, 0, 3, 7, 0, 0, 0, 9, 0, 0, 2, 8, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 9, 3, 0, 0, 6, 0, 0, 0, 3, 7, 0, 0, 9, 2, 0, 1, 7, 9, 5, 8, 6, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0],[6, 3, 8, 5, 4, 9, 1, 2, 7, 1, 7, 9, 8, 6, 2, 4, 3, 5, 5, 2, 4, 1, 3, 7, 9, 6, 8, 9, 6, 3, 2, 8, 5, 7, 1, 4, 8, 4, 2, 7, 1, 6, 3, 5, 9, 7, 5, 1, 4, 9, 3, 2, 8, 6, 4, 8, 6, 3, 7, 1, 5, 9, 2, 2, 1, 7, 9, 5, 8, 6, 4, 3, 3, 9, 5, 6, 2, 4, 8, 7, 1],
easy,[6, 0, 0, 8, 3, 0, 0, 0, 0, 4, 8, 0, 9, 0, 5, 0, 7, 0, 0, 2, 3, 7, 0, 6, 0, 0, 0, 2, 9, 8, 0, 0, 0, 6, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 3, 4, 0, 0, 0, 8, 1, 2, 0, 0, 0, 1, 0, 7, 5, 9, 0, 0, 6, 0, 5, 0, 8, 0, 4, 1, 0, 0, 0, 0, 4, 3, 0, 0, 8],[6, 7, 5, 8, 3, 4, 1, 2, 9, 4, 8, 1, 9, 2, 5, 3, 7, 6, 9, 2, 3, 7, 1, 6, 4, 8, 5, 2, 9, 8, 3, 7, 1, 6, 5, 4, 5, 1, 6, 4, 8, 2, 9, 3, 7, 7, 3, 4, 6, 5, 9, 8, 1, 2, 8, 4, 2, 1, 6, 7, 5, 9, 3, 3, 6, 7, 5, 9, 8, 2, 4, 1, 1, 5, 9, 2, 4, 3, 7, 6, 8],
medium,[0, 0, 0, 1, 0, 0, 0, 2, 5, 0, 1, 5, 9, 3, 0, 0, 7, 0, 0, 6, 3, 7, 0, 0, 0, 0, 1, 3, 0, 1, 0, 2, 0, 0, 5, 0, 0, 0, 7, 4, 0, 9, 1, 0, 0, 0, 5, 0, 0, 1, 0, 6, 0, 8, 1, 0, 0, 0, 0, 3, 2, 8, 0, 0, 2, 0, 0, 7, 1, 9, 6, 0, 7, 3, 0, 0, 0, 6, 0, 0, 0],[8, 7, 9, 1, 6, 4, 3, 2, 5, 4, 1, 5, 9, 3, 2, 8, 7, 6, 2, 6, 3, 7, 8, 5, 4, 9, 1, 3, 4, 1, 6, 2, 8, 7, 5, 9, 6, 8, 7, 4, 5, 9, 1, 3, 2, 9, 5, 2, 3, 1, 7, 6, 4, 8, 1, 9, 6, 5, 4, 3, 2, 8, 7, 5, 2, 4, 8, 7, 1, 9, 6, 3, 7, 3, 8, 2, 9, 6, 5, 1, 4],
hard,[0, 0, 1, 0, 9, 0, 8, 5, 2, 0, 9, 0, 5, 7, 8, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 3, 0, 0, 0, 1, 0, 4, 8, 0, 0, 7, 8, 0, 0, 0, 1, 6, 0, 0, 1, 6, 0, 5, 0, 0, 0, 3, 0, 8, 0, 0, 3, 0, 0, 0, 0, 0, 0, 5, 1, 6, 7, 0, 4, 0, 1, 4, 7, 0, 8, 0, 3, 0, 0],[7, 6, 1, 4, 9, 3, 8, 5, 2, 2, 9, 4, 5, 7, 8, 6, 3, 1, 8, 5, 3, 6, 2, 1, 9, 7, 4, 3, 2, 9, 7, 1, 6, 4, 8, 5, 5, 7, 8, 3, 4, 2, 1, 6, 9, 4, 1, 6, 8, 5, 9, 7, 2, 3, 6, 8, 2, 9, 3, 4, 5, 1, 7, 9, 3, 5, 1, 6, 7, 2, 4, 8, 1, 4, 7, 2, 8, 5, 3, 9, 6],
easy,[8, 0, 2, 5, 0, 1, 0, 0, 3, 3, 9, 0, 0, 0, 7, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 7, 1, 9, 0, 0, 0, 0, 0, 7, 3, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0, 0, 8, 6, 0, 0, 0, 0, 0, 2, 6, 1, 0, 0, 8, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 0, 4, 9, 2, 0, 0, 1, 0, 3, 5, 0, 8],[8, 7, 2, 5, 6, 1, 4, 9, 3, 3, 9, 1, 8, 4, 7, 2, 5, 6, 4, 6, 5, 9, 3, 2, 8, 7, 1, 9, 2, 4, 6, 1, 8, 7, 3, 5, 1, 5, 3, 7, 2, 9, 6, 8, 4, 7, 8, 6, 3, 5, 4, 9, 1, 2, 6, 1, 9, 4, 8, 5, 3, 2, 7, 5, 3, 8, 2, 7, 6, 1, 4, 9, 2, 4, 7, 1, 9, 3, 5, 6, 8],
easy,[6, 0, 0, 0, 0, 0, 7, 0, 8, 1, 2, 0, 0, 0, 3, 9, 0, 0, 0, 3, 0, 0, 8, 5, 2, 0, 0, 5, 0, 3, 0, 2, 8, 6, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 1, 7, 9, 0, 5, 0, 3, 0, 0, 7, 8, 6, 0, 0, 4, 0, 0, 0, 6, 5, 0, 0, 0, 7, 2, 3, 0, 2, 0, 0, 0, 0, 0, 9],[6, 9, 5, 2, 1, 4, 7, 3, 8, 1, 2, 8, 6, 7, 3, 9, 5, 4, 7, 3, 4, 9, 8, 5, 2, 1, 6, 5, 7, 3, 4, 2, 8, 6, 9, 1, 2, 6, 9, 3, 5, 1, 4, 8, 7, 8, 4, 1, 7, 9, 6, 5, 2, 3, 9, 1, 7, 8, 6, 2, 3, 4, 5, 4, 8, 6, 5, 3, 9, 1, 7, 2, 3, 5, 2, 1, 4, 7, 8, 6, 9],
medium,[9, 0, 1, 2, 0, 6, 0, 8, 0, 0, 5, 6, 4, 0, 8, 9, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 4, 0, 3, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 4, 0, 5, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 9, 5, 0, 4, 1, 7, 0, 0, 8, 0, 3, 0, 1, 2, 0, 4],[9, 7, 1, 2, 3, 6, 4, 8, 5, 3, 5, 6, 4, 7, 8, 9, 1, 2, 8, 4, 2, 9, 1, 5, 6, 3, 7, 2, 6, 8, 7, 4, 9, 3, 5, 1, 1, 3, 5, 8, 6, 2, 7, 4, 9, 7, 9, 4, 1, 5, 3, 8, 2, 6, 4, 1, 3, 6, 2, 7, 5, 9, 8, 6, 2, 9, 5, 8, 4, 1, 7, 3, 5, 8, 7, 3, 9, 1, 2, 6, 4],
hard,[1, 8, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 8, 3, 7, 6, 0, 3, 7, 0, 0, 0, 4, 8, 0, 2, 5, 0, 0, 0, 0, 8, 2, 7, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 2, 5, 0, 0, 0, 0, 4, 6, 0, 8, 3, 0, 0, 0, 4, 7, 0, 4, 5, 1, 7, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 9, 5],[1, 8, 6, 7, 2, 5, 4, 3, 9, 2, 5, 4, 9, 8, 3, 7, 6, 1, 3, 7, 9, 6, 1, 4, 8, 5, 2, 5, 6, 1, 4, 9, 8, 2, 7, 3, 4, 9, 7, 2, 3, 1, 5, 8, 6, 8, 3, 2, 5, 6, 7, 9, 1, 4, 6, 2, 8, 3, 5, 9, 1, 4, 7, 9, 4, 5, 1, 7, 6, 3, 2, 8, 7, 1, 3, 8, 4, 2, 6, 9, 5],
easy,[5, 0, 8, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 3, 2, 0, 5, 0, 0, 6, 0, 0, 0, 3, 0, 2, 0, 9, 5, 0, 1, 8, 4, 0, 1, 6, 5, 0, 3, 2, 2, 0, 5, 4, 0, 7, 0, 9, 0, 0, 0, 2, 0, 0, 6, 0, 5, 9, 0, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 2, 0, 8],[5, 9, 8, 6, 7, 4, 1, 2, 3, 6, 7, 4, 3, 1, 2, 9, 8, 5, 3, 2, 1, 5, 9, 8, 6, 7, 4, 7, 3, 6, 2, 8, 9, 5, 4, 1, 8, 4, 9, 1, 6, 5, 7, 3, 2, 2, 1, 5, 4, 3, 7, 8, 9, 6, 1, 8, 2, 7, 4, 6, 3, 5, 9, 9, 5, 3, 8, 2, 1, 4, 6, 7, 4, 6, 7, 9, 5, 3, 2, 1, 8],
hard,[5, 0, 6, 0, 9, 1, 4, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 5, 0, 6, 5, 0, 1, 0, 9, 0, 7, 0, 0, 4, 1, 0, 3, 0, 9, 8, 0, 0, 8, 0, 4, 0, 7, 0, 2, 1, 0, 9, 0, 0, 0, 4, 7, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 7, 9, 1, 0, 8, 0, 5],[5, 2, 6, 7, 9, 1, 4, 3, 8, 4, 7, 3, 6, 5, 8, 2, 1, 9, 9, 1, 8, 3, 4, 2, 6, 5, 7, 6, 5, 2, 1, 8, 9, 3, 7, 4, 7, 4, 1, 2, 3, 5, 9, 8, 6, 3, 8, 9, 4, 6, 7, 5, 2, 1, 1, 9, 5, 8, 2, 4, 7, 6, 3, 8, 3, 4, 5, 7, 6, 1, 9, 2, 2, 6, 7, 9, 1, 3, 8, 4, 5],
hard,[0, 3, 0, 0, 1, 8, 6, 0, 7, 1, 4, 0, 0, 9, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 9, 4, 7, 6, 0, 0, 4, 5, 0, 0, 0, 5, 0, 0, 7, 0, 1, 0, 0, 6, 0, 0, 0, 8, 2, 0, 0, 7, 5, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9, 5, 0, 7, 0, 0, 8, 2, 2, 0, 4, 6, 8, 0, 0, 1, 0],[9, 3, 2, 4, 1, 8, 6, 5, 7, 1, 4, 6, 5, 9, 7, 3, 2, 8, 8, 5, 7, 3, 6, 2, 1, 9, 4, 7, 6, 8, 9, 4, 5, 2, 3, 1, 5, 2, 9, 7, 3, 1, 8, 4, 6, 4, 1, 3, 8, 2, 6, 9, 7, 5, 3, 8, 1, 2, 5, 4, 7, 6, 9, 6, 9, 5, 1, 7, 3, 4, 8, 2, 2, 7, 4, 6, 8, 9, 5, 1, 3],
easy,[0, 0, 7, 0, 1, 0, 0, 0, 2, 6, 1, 5, 9, 0, 2, 0, 8, 0, 0, 3, 2, 0, 0, 0, 0, 0, 6, 0, 0, 9, 4, 2, 6, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 0, 7, 3, 9, 4, 0, 0, 9, 0, 0, 0, 0, 0, 8, 7, 0, 0, 7, 0, 8, 0, 1, 2, 3, 4, 1, 0, 0, 0, 7, 0, 6, 0, 0],[8, 9, 7, 6, 1, 3, 5, 4, 2, 6, 1, 5, 9, 4, 2, 3, 8, 7, 4, 3, 2, 5, 8, 7, 9, 1, 6, 7, 8, 9, 4, 2, 6, 1, 5, 3, 3, 6, 4, 1, 5, 8, 7, 2, 9, 2, 5, 1, 7, 3, 9, 4, 6, 8, 9, 4, 3, 2, 6, 5, 8, 7, 1, 5, 7, 6, 8, 9, 1, 2, 3, 4, 1, 2, 8, 3, 7, 4, 6, 9, 5],
hard,[3, 0, 9, 5, 0, 2, 1, 0, 0, 5, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 9, 0, 0, 0, 6, 8, 9, 6, 0, 0, 5, 3, 2, 0, 0, 4, 0, 0, 3, 0, 0, 9, 0, 0, 2, 3, 4, 0, 0, 7, 8, 5, 2, 0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 7, 0, 0, 4, 8, 0, 3, 9, 0, 2],[3, 6, 9, 5, 4, 2, 1, 7, 8, 5, 1, 2, 6, 8, 7, 4, 3, 9, 4, 8, 7, 3, 9, 1, 2, 5, 6, 8, 9, 6, 7, 1, 5, 3, 2, 4, 7, 4, 5, 2, 3, 8, 6, 9, 1, 1, 2, 3, 4, 6, 9, 7, 8, 5, 2, 7, 1, 9, 5, 4, 8, 6, 3, 9, 3, 8, 1, 2, 6, 5, 4, 7, 6, 5, 4, 8, 7, 3, 9, 1, 2],
medium,[0, 0, 3, 6, 0, 9, 0, 8, 0, 0, 0, 6, 1, 0, 5, 9, 0, 4, 1, 9, 0, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 0, 8, 0, 0, 9, 0, 4, 0, 5, 0, 2, 0, 1, 0, 8, 0, 0, 4, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 8, 5, 0, 8, 9, 0, 4, 7, 0, 0, 0, 2, 0, 7, 0, 6, 5, 0, 0],[4, 5, 3, 6, 7, 9, 1, 8, 2, 7, 8, 6, 1, 2, 5, 9, 3, 4, 1, 9, 2, 8, 4, 3, 6, 5, 7, 2, 6, 5, 3, 1, 8, 4, 7, 9, 9, 4, 7, 5, 6, 2, 8, 1, 3, 8, 3, 1, 4, 9, 7, 2, 6, 5, 6, 7, 9, 2, 5, 1, 3, 4, 8, 5, 1, 8, 9, 3, 4, 7, 2, 6, 3, 2, 4, 7, 8, 6, 5, 9, 1],
medium,[4, 8, 0, 7, 5, 0, 0, 0, 1, 6, 1, 0, 2, 0, 0, 7, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 2, 0, 4, 6, 0, 7, 0, 0, 0, 3, 0, 7, 0, 8, 0, 9, 0, 5, 0, 3, 0, 0, 0, 1, 0, 2, 7, 0, 1, 0, 3, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 2, 4, 5, 0, 0, 0, 2, 8, 0, 3, 7],[4, 8, 2, 7, 5, 6, 3, 9, 1, 6, 1, 5, 2, 9, 3, 7, 4, 8, 7, 3, 9, 4, 8, 1, 5, 6, 2, 9, 4, 6, 5, 7, 2, 8, 1, 3, 2, 7, 1, 8, 3, 9, 4, 5, 6, 3, 5, 8, 6, 1, 4, 2, 7, 9, 1, 2, 3, 9, 4, 7, 6, 8, 5, 8, 9, 7, 3, 6, 5, 1, 2, 4, 5, 6, 4, 1, 2, 8, 9, 3, 7],
medium,[0, 2, 4, 8, 3, 0, 0, 9, 0, 0, 7, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 2, 4, 7, 0, 6, 9, 0, 0, 4, 0, 0, 2, 0, 0, 0, 6, 2, 8, 0, 0, 0, 1, 0, 0, 7, 0, 0, 6, 8, 0, 9, 3, 7, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 9, 0, 7, 0, 0, 8, 0, 0, 7, 5, 4, 1, 0],[6, 2, 4, 8, 3, 7, 1, 9, 5, 5, 7, 1, 9, 4, 2, 3, 6, 8, 3, 9, 8, 1, 5, 6, 2, 4, 7, 8, 6, 9, 5, 1, 4, 7, 3, 2, 7, 4, 3, 6, 2, 8, 9, 5, 1, 1, 5, 2, 7, 9, 3, 6, 8, 4, 9, 3, 7, 4, 8, 1, 5, 2, 6, 4, 1, 5, 2, 6, 9, 8, 7, 3, 2, 8, 6, 3, 7, 5, 4, 1, 9],
hard,[5, 3, 0, 0, 1, 4, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 6, 9, 7, 0, 0, 5, 1, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 6, 7, 0, 9, 3, 8, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 9, 7, 0, 5, 7, 0, 0, 1, 4, 6, 0, 9, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 6, 9, 0, 0, 2, 3],[5, 3, 8, 2, 1, 4, 9, 7, 6, 7, 1, 2, 5, 6, 9, 3, 8, 4, 4, 6, 9, 7, 8, 3, 5, 1, 2, 8, 9, 1, 4, 7, 2, 6, 3, 5, 6, 7, 5, 9, 3, 8, 2, 4, 1, 2, 4, 3, 1, 5, 6, 8, 9, 7, 3, 5, 7, 8, 2, 1, 4, 6, 9, 9, 2, 6, 3, 4, 7, 1, 5, 8, 1, 8, 4, 6, 9, 5, 7, 2, 3],
easy,[0, 4, 0, 0, 0, 5, 0, 3, 0, 0, 5, 0, 0, 8, 1, 0, 0, 0, 1, 0, 0, 7, 0, 0, 6, 5, 0, 5, 2, 8, 9, 0, 4, 0, 0, 0, 0, 7, 0, 0, 3, 0, 0, 9, 0, 0, 0, 0, 5, 0, 2, 7, 4, 8, 0, 9, 5, 0, 0, 6, 0, 0, 2, 0, 0, 0, 3, 2, 0, 0, 6, 0, 0, 6, 0, 1, 0, 0, 0, 8, 0],[7, 4, 9, 2, 6, 5, 8, 3, 1, 6, 5, 3, 4, 8, 1, 9, 2, 7, 1, 8, 2, 7, 9, 3, 6, 5, 4, 5, 2, 8, 9, 7, 4, 3, 1, 6, 4, 7, 1, 6, 3, 8, 2, 9, 5, 9, 3, 6, 5, 1, 2, 7, 4, 8, 3, 9, 5, 8, 4, 6, 1, 7, 2, 8, 1, 4, 3, 2, 7, 5, 6, 9, 2, 6, 7, 1, 5, 9, 4, 8, 3],
easy,[0, 0, 8, 0, 0, 4, 9, 2, 0, 6, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 8, 7, 0, 0, 9, 0, 0, 3, 5, 0, 6, 0, 0, 0, 4, 0, 9, 0, 2, 0, 0, 0, 3, 0, 4, 8, 0, 0, 5, 0, 0, 8, 5, 0, 0, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 8, 0, 1, 3, 6, 0, 0, 7, 0, 0],[3, 7, 8, 5, 1, 4, 9, 2, 6, 6, 4, 9, 8, 2, 7, 5, 3, 1, 5, 2, 1, 9, 6, 3, 8, 7, 4, 8, 9, 2, 1, 3, 5, 4, 6, 7, 1, 5, 4, 7, 9, 6, 2, 8, 3, 7, 3, 6, 4, 8, 2, 1, 5, 9, 4, 8, 5, 3, 7, 9, 6, 1, 2, 9, 6, 7, 2, 5, 1, 3, 4, 8, 2, 1, 3, 6, 4, 8, 7, 9, 5],
medium,[6, 0, 0, 0, 0, 5, 0, 8, 4, 8, 9, 5, 1, 0, 0, 3, 0, 0, 0, 1, 4, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 0, 0, 8, 2, 6, 0, 0, 0, 0, 0, 7, 5, 7, 0, 0, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 8, 2, 0, 0, 0, 3, 0, 0, 1, 6, 4, 9, 9, 4, 0, 3, 0, 0, 0, 0, 1],[6, 2, 7, 9, 3, 5, 1, 8, 4, 8, 9, 5, 1, 2, 4, 3, 6, 7, 3, 1, 4, 6, 8, 7, 5, 9, 2, 4, 5, 1, 7, 9, 6, 2, 3, 8, 2, 6, 9, 8, 1, 3, 4, 7, 5, 7, 3, 8, 4, 5, 2, 9, 1, 6, 1, 7, 6, 5, 4, 9, 8, 2, 3, 5, 8, 3, 2, 7, 1, 6, 4, 9, 9, 4, 2, 3, 6, 8, 7, 5, 1],
easy,[3, 7, 0, 0, 6, 0, 0, 9, 4, 0, 0, 5, 0, 7, 0, 0, 2, 0, 6, 4, 0, 1, 9, 8, 0, 5, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 8, 0, 5, 2, 4, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 6, 0, 8, 4, 2, 0, 7, 1, 0, 2, 0, 0, 1, 0, 5, 0, 0, 4, 1, 0, 0, 5, 0, 0, 6, 3],[3, 7, 1, 2, 6, 5, 8, 9, 4, 8, 9, 5, 4, 7, 3, 1, 2, 6, 6, 4, 2, 1, 9, 8, 3, 5, 7, 7, 5, 4, 9, 3, 1, 6, 8, 2, 1, 8, 6, 5, 2, 4, 7, 3, 9, 2, 3, 9, 6, 8, 7, 4, 1, 5, 5, 6, 3, 8, 4, 2, 9, 7, 1, 9, 2, 7, 3, 1, 6, 5, 4, 8, 4, 1, 8, 7, 5, 9, 2, 6, 3],
easy,[1, 7, 0, 9, 0, 0, 0, 5, 4, 4, 6, 0, 0, 3, 8, 0, 0, 9, 0, 0, 8, 0, 7, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 3, 0, 7, 0, 2, 3, 0, 1, 5, 0, 6, 0, 3, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 5, 0, 3, 0, 0, 3, 0, 0, 6, 1, 0, 0, 7, 5, 2, 5, 0, 0, 0, 3, 0, 8, 1],[1, 7, 3, 9, 2, 6, 8, 5, 4, 4, 6, 5, 1, 3, 8, 7, 2, 9, 9, 2, 8, 5, 7, 4, 1, 6, 3, 5, 9, 1, 4, 6, 7, 2, 3, 8, 7, 4, 2, 3, 8, 1, 5, 9, 6, 8, 3, 6, 2, 9, 5, 4, 1, 7, 6, 1, 7, 8, 5, 9, 3, 4, 2, 3, 8, 4, 6, 1, 2, 9, 7, 5, 2, 5, 9, 7, 4, 3, 6, 8, 1],
hard,[0, 0, 0, 1, 0, 0, 8, 9, 0, 9, 0, 0, 5, 0, 3, 2, 0, 6, 8, 4, 6, 2, 0, 9, 0, 0, 0, 0, 5, 3, 4, 0, 0, 0, 0, 0, 0, 6, 0, 7, 0, 8, 0, 5, 0, 0, 0, 0, 0, 0, 5, 9, 3, 0, 0, 0, 0, 3, 0, 6, 7, 8, 4, 7, 0, 8, 9, 0, 2, 0, 0, 5, 0, 1, 4, 0, 0, 7, 0, 0, 0],[3, 2, 5, 1, 6, 4, 8, 9, 7, 9, 7, 1, 5, 8, 3, 2, 4, 6, 8, 4, 6, 2, 7, 9, 5, 1, 3, 2, 5, 3, 4, 9, 1, 6, 7, 8, 1, 6, 9, 7, 3, 8, 4, 5, 2, 4, 8, 7, 6, 2, 5, 9, 3, 1, 5, 9, 2, 3, 1, 6, 7, 8, 4, 7, 3, 8, 9, 4, 2, 1, 6, 5, 6, 1, 4, 8, 5, 7, 3, 2, 9],
medium,[0, 5, 0, 0, 0, 7, 8, 0, 0, 0, 2, 6, 3, 8, 5, 0, 0, 0, 4, 0, 0, 0, 0, 1, 7, 0, 0, 0, 4, 0, 0, 0, 0, 3, 5, 1, 9, 3, 0, 5, 0, 8, 0, 4, 7, 6, 7, 5, 0, 0, 0, 0, 9, 0, 0, 0, 2, 4, 0, 0, 0, 0, 3, 0, 0, 0, 9, 5, 3, 1, 2, 0, 0, 0, 4, 8, 0, 0, 0, 7, 0],[1, 5, 9, 6, 4, 7, 8, 3, 2, 7, 2, 6, 3, 8, 5, 4, 1, 9, 4, 8, 3, 2, 9, 1, 7, 6, 5, 2, 4, 8, 7, 6, 9, 3, 5, 1, 9, 3, 1, 5, 2, 8, 6, 4, 7, 6, 7, 5, 1, 3, 4, 2, 9, 8, 5, 1, 2, 4, 7, 6, 9, 8, 3, 8, 6, 7, 9, 5, 3, 1, 2, 4, 3, 9, 4, 8, 1, 2, 5, 7, 6],
easy,[4, 0, 0, 9, 0, 0, 0, 8, 1, 6, 0, 0, 4, 0, 0, 5, 2, 3, 5, 0, 0, 0, 2, 0, 6, 0, 0, 7, 5, 0, 0, 4, 0, 0, 0, 9, 0, 6, 0, 3, 0, 1, 0, 5, 0, 8, 0, 0, 0, 5, 0, 0, 3, 6, 0, 0, 6, 0, 3, 0, 0, 0, 5, 1, 2, 7, 0, 0, 4, 0, 0, 8, 3, 4, 0, 0, 0, 6, 0, 0, 2],[4, 3, 2, 9, 6, 5, 7, 8, 1, 6, 9, 1, 4, 7, 8, 5, 2, 3, 5, 7, 8, 1, 2, 3, 6, 9, 4, 7, 5, 3, 6, 4, 2, 8, 1, 9, 2, 6, 9, 3, 8, 1, 4, 5, 7, 8, 1, 4, 7, 5, 9, 2, 3, 6, 9, 8, 6, 2, 3, 7, 1, 4, 5, 1, 2, 7, 5, 9, 4, 3, 6, 8, 3, 4, 5, 8, 1, 6, 9, 7, 2],
easy,[1, 0, 8, 5, 0, 6, 7, 0, 9, 2, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 4, 0, 3, 0, 0, 1, 0, 0, 2, 6, 0, 8, 5, 0, 0, 0, 0, 0, 1, 0, 7, 0, 8, 0, 0, 0, 0, 0, 1, 9, 0, 4, 2, 0, 0, 1, 0, 0, 5, 0, 6, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 7, 5, 0, 7, 3, 0, 1, 2, 0, 4],[1, 3, 8, 5, 2, 6, 7, 4, 9, 2, 5, 9, 7, 1, 4, 3, 6, 8, 7, 6, 4, 9, 3, 8, 5, 1, 2, 3, 2, 6, 4, 8, 5, 9, 7, 1, 9, 4, 1, 6, 7, 2, 8, 3, 5, 8, 7, 5, 1, 9, 3, 4, 2, 6, 4, 1, 2, 8, 5, 7, 6, 9, 3, 6, 8, 3, 2, 4, 9, 1, 5, 7, 5, 9, 7, 3, 6, 1, 2, 8, 4],
hard,[0, 0, 0, 0, 2, 0, 5, 0, 8, 0, 2, 9, 3, 0, 5, 6, 0, 0, 1, 8, 0, 6, 0, 4, 0, 3, 2, 0, 0, 6, 7, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 6, 7, 0, 0, 0, 0, 0, 1, 9, 0, 0, 5, 4, 0, 8, 0, 6, 0, 1, 9, 0, 0, 7, 2, 0, 3, 8, 5, 0, 8, 0, 2, 0, 4, 0, 0, 0, 0],[6, 3, 4, 1, 2, 7, 5, 9, 8, 7, 2, 9, 3, 8, 5, 6, 4, 1, 1, 8, 5, 6, 9, 4, 7, 3, 2, 4, 9, 6, 7, 5, 2, 1, 8, 3, 2, 5, 1, 9, 3, 8, 4, 6, 7, 3, 7, 8, 4, 6, 1, 9, 2, 5, 5, 4, 3, 8, 7, 6, 2, 1, 9, 9, 6, 7, 2, 1, 3, 8, 5, 4, 8, 1, 2, 5, 4, 9, 3, 7, 6],
easy,[5, 0, 0, 6, 0, 0, 0, 0, 0, 8, 9, 0, 0, 4, 0, 2, 0, 0, 7, 0, 3, 5, 2, 0, 9, 0, 1, 0, 0, 7, 0, 0, 2, 0, 0, 5, 0, 0, 9, 0, 1, 0, 6, 0, 0, 1, 0, 0, 3, 0, 0, 8, 0, 0, 9, 0, 4, 0, 8, 7, 5, 0, 6, 0, 0, 8, 0, 6, 0, 0, 3, 7, 0, 0, 0, 0, 0, 3, 0, 0, 8],[5, 1, 2, 6, 3, 9, 7, 8, 4, 8, 9, 6, 7, 4, 1, 2, 5, 3, 7, 4, 3, 5, 2, 8, 9, 6, 1, 4, 6, 7, 8, 9, 2, 3, 1, 5, 3, 8, 9, 4, 1, 5, 6, 7, 2, 1, 2, 5, 3, 7, 6, 8, 4, 9, 9, 3, 4, 1, 8, 7, 5, 2, 6, 2, 5, 8, 9, 6, 4, 1, 3, 7, 6, 7, 1, 2, 5, 3, 4, 9, 8],
hard,[1, 3, 7, 8, 2, 0, 0, 5, 6, 0, 0, 0, 1, 0, 3, 7, 4, 2, 4, 0, 0, 0, 5, 6, 0, 0, 0, 0, 9, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 3, 8, 0, 0, 0, 4, 6, 4, 8, 2, 0, 1, 0, 0, 0, 5, 1, 0, 0, 6, 9, 2, 7, 8],[1, 3, 7, 8, 2, 4, 9, 5, 6, 8, 5, 6, 1, 9, 3, 7, 4, 2, 4, 2, 9, 7, 5, 6, 8, 1, 3, 2, 9, 5, 6, 3, 7, 4, 8, 1, 3, 8, 1, 5, 4, 2, 6, 9, 7, 7, 6, 4, 9, 1, 8, 3, 2, 5, 9, 7, 2, 3, 8, 5, 1, 6, 4, 6, 4, 8, 2, 7, 1, 5, 3, 9, 5, 1, 3, 4, 6, 9, 2, 7, 8],
hard,[0, 6, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 6, 8, 0, 0, 0, 0, 6, 0, 2, 1, 3, 9, 0, 1, 5, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 3, 4, 0, 7, 2, 7, 8, 0, 6, 0, 0, 0, 0, 9, 6, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 5, 0],[4, 6, 1, 2, 7, 5, 3, 9, 8, 9, 7, 2, 3, 8, 1, 5, 4, 6, 8, 5, 3, 4, 9, 6, 7, 2, 1, 3, 9, 7, 1, 5, 2, 8, 6, 4, 2, 4, 8, 7, 6, 9, 1, 3, 5, 5, 1, 6, 8, 3, 4, 9, 7, 2, 7, 8, 5, 6, 4, 3, 2, 1, 9, 6, 2, 9, 5, 1, 7, 4, 8, 3, 1, 3, 4, 9, 2, 8, 6, 5, 7],
easy,[0, 0, 4, 0, 3, 5, 6, 0, 9, 0, 5, 0, 0, 0, 0, 0, 2, 1, 0, 2, 9, 0, 0, 0, 5, 4, 0, 2, 0, 0, 0, 1, 0, 0, 3, 5, 9, 0, 0, 7, 0, 3, 0, 0, 2, 5, 8, 0, 0, 9, 0, 0, 0, 4, 0, 3, 2, 0, 0, 0, 1, 9, 0, 8, 9, 0, 0, 0, 0, 0, 7, 0, 1, 0, 7, 9, 2, 0, 4, 0, 0],[7, 1, 4, 2, 3, 5, 6, 8, 9, 6, 5, 8, 4, 7, 9, 3, 2, 1, 3, 2, 9, 1, 8, 6, 5, 4, 7, 2, 7, 6, 8, 1, 4, 9, 3, 5, 9, 4, 1, 7, 5, 3, 8, 6, 2, 5, 8, 3, 6, 9, 2, 7, 1, 4, 4, 3, 2, 5, 6, 7, 1, 9, 8, 8, 9, 5, 3, 4, 1, 2, 7, 6, 1, 6, 7, 9, 2, 8, 4, 5, 3],
hard,[0, 0, 4, 0, 7, 0, 1, 8, 0, 8, 0, 3, 0, 0, 0, 9, 0, 5, 2, 0, 1, 0, 0, 3, 0, 0, 4, 5, 0, 8, 0, 2, 0, 0, 0, 0, 0, 1, 2, 6, 0, 9, 4, 5, 0, 0, 0, 0, 0, 3, 0, 2, 0, 8, 1, 0, 0, 2, 0, 0, 3, 0, 6, 4, 0, 6, 0, 0, 0, 5, 0, 1, 0, 3, 7, 0, 1, 0, 8, 0, 0],[6, 5, 4, 9, 7, 2, 1, 8, 3, 8, 7, 3, 1, 6, 4, 9, 2, 5, 2, 9, 1, 8, 5, 3, 7, 6, 4, 5, 4, 8, 7, 2, 1, 6, 3, 9, 3, 1, 2, 6, 8, 9, 4, 5, 7, 7, 6, 9, 4, 3, 5, 2, 1, 8, 1, 8, 5, 2, 4, 7, 3, 9, 6, 4, 2, 6, 3, 9, 8, 5, 7, 1, 9, 3, 7, 5, 1, 6, 8, 4, 2],
medium,[8, 1, 0, 0, 0, 3, 6, 0, 0, 7, 0, 0, 0, 0, 2, 0, 0, 8, 0, 5, 6, 4, 0, 0, 0, 2, 3, 4, 9, 7, 0, 0, 6, 8, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 3, 1, 0, 0, 2, 6, 9, 2, 4, 0, 0, 0, 1, 5, 7, 0, 3, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 5, 8, 0, 0, 0, 9, 2],[8, 1, 2, 9, 7, 3, 6, 4, 5, 7, 3, 4, 6, 5, 2, 9, 1, 8, 9, 5, 6, 4, 1, 8, 7, 2, 3, 4, 9, 7, 2, 3, 6, 8, 5, 1, 6, 2, 1, 5, 8, 9, 4, 3, 7, 5, 8, 3, 1, 4, 7, 2, 6, 9, 2, 4, 8, 3, 9, 1, 5, 7, 6, 3, 6, 9, 7, 2, 5, 1, 8, 4, 1, 7, 5, 8, 6, 4, 3, 9, 2],
medium,[8, 0, 2, 7, 6, 5, 0, 3, 9, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 2, 1, 6, 8, 0, 5, 0, 2, 0, 4, 7, 1, 2, 0, 4, 0, 9, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 5, 5, 6, 0, 2, 4, 7, 3, 0, 8],[8, 1, 2, 7, 6, 5, 4, 3, 9, 9, 4, 6, 8, 3, 1, 7, 5, 2, 3, 5, 7, 9, 2, 4, 8, 1, 6, 4, 7, 9, 3, 8, 6, 5, 2, 1, 6, 8, 3, 5, 1, 2, 9, 4, 7, 1, 2, 5, 4, 7, 9, 6, 8, 3, 7, 9, 8, 1, 5, 3, 2, 6, 4, 2, 3, 4, 6, 9, 8, 1, 7, 5, 5, 6, 1, 2, 4, 7, 3, 9, 8],
easy,[0, 5, 2, 7, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6, 0, 9, 1, 3, 0, 0, 0, 0, 0, 6, 0, 4, 2, 1, 8, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 8, 5, 7, 0, 2, 0, 0, 0, 0, 0, 7, 3, 4, 0, 2, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 8, 4, 3, 5, 0],[8, 5, 2, 7, 4, 6, 1, 9, 3, 3, 4, 1, 2, 9, 8, 6, 7, 5, 6, 7, 9, 1, 3, 5, 2, 8, 4, 9, 6, 5, 4, 2, 1, 8, 3, 7, 7, 2, 8, 3, 6, 9, 5, 4, 1, 1, 3, 4, 8, 5, 7, 9, 2, 6, 5, 8, 6, 9, 7, 3, 4, 1, 2, 4, 9, 3, 5, 1, 2, 7, 6, 8, 2, 1, 7, 6, 8, 4, 3, 5, 9],
hard,[0, 9, 0, 6, 3, 0, 0, 5, 2, 7, 0, 3, 1, 0, 9, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 6, 2, 1, 0, 8, 0, 3, 0, 5, 0, 8, 0, 0, 0, 0, 0, 2, 0, 5, 0, 9, 0, 6, 0, 8, 1, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 4, 0, 8, 7, 0, 1, 8, 3, 0, 0, 1, 2, 0, 4, 0],[4, 9, 8, 6, 3, 7, 1, 5, 2, 7, 5, 3, 1, 2, 9, 4, 6, 8, 2, 1, 6, 8, 4, 5, 9, 7, 3, 6, 2, 1, 7, 8, 4, 3, 9, 5, 3, 8, 4, 5, 9, 1, 6, 2, 7, 5, 7, 9, 2, 6, 3, 8, 1, 4, 1, 4, 5, 3, 7, 6, 2, 8, 9, 9, 6, 2, 4, 5, 8, 7, 3, 1, 8, 3, 7, 9, 1, 2, 5, 4, 6],
medium,[0, 8, 5, 1, 7, 0, 0, 0, 6, 0, 0, 0, 5, 0, 2, 0, 9, 7, 0, 4, 2, 0, 0, 6, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 8, 8, 9, 0, 0, 0, 0, 0, 7, 1, 5, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 2, 0, 0, 5, 3, 0, 1, 5, 0, 9, 0, 8, 0, 0, 0, 2, 0, 0, 0, 5, 3, 8, 1, 0],[9, 8, 5, 1, 7, 4, 3, 2, 6, 6, 3, 1, 5, 8, 2, 4, 9, 7, 7, 4, 2, 3, 9, 6, 1, 8, 5, 3, 1, 4, 6, 2, 7, 9, 5, 8, 8, 9, 6, 4, 3, 5, 2, 7, 1, 5, 2, 7, 8, 1, 9, 6, 4, 3, 4, 7, 8, 2, 6, 1, 5, 3, 9, 1, 5, 3, 9, 4, 8, 7, 6, 2, 2, 6, 9, 7, 5, 3, 8, 1, 4],
hard,[0, 0, 5, 4, 0, 6, 8, 1, 0, 6, 3, 0, 0, 1, 8, 9, 0, 0, 0, 1, 8, 0, 0, 9, 0, 0, 0, 5, 0, 9, 7, 0, 0, 0, 0, 0, 3, 0, 0, 9, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 4, 0, 9, 0, 0, 0, 1, 0, 0, 6, 8, 0, 0, 0, 7, 6, 9, 0, 0, 2, 4, 0, 6, 2, 8, 0, 7, 5, 0, 0],[2, 9, 5, 4, 7, 6, 8, 1, 3, 6, 3, 4, 2, 1, 8, 9, 7, 5, 7, 1, 8, 3, 5, 9, 2, 4, 6, 5, 2, 9, 7, 4, 3, 1, 6, 8, 3, 4, 6, 9, 8, 1, 7, 5, 2, 8, 7, 1, 5, 6, 2, 4, 3, 9, 9, 5, 3, 1, 2, 4, 6, 8, 7, 1, 8, 7, 6, 9, 5, 3, 2, 4, 4, 6, 2, 8, 3, 7, 5, 9, 1],
easy,[0, 3, 6, 1, 0, 4, 0, 7, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 4, 5, 8, 7, 0, 5, 0, 0, 0, 2, 0, 0, 6, 0, 2, 1, 9, 0, 8, 0, 0, 2, 0, 0, 0, 7, 0, 5, 3, 7, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 5, 0, 6, 0, 8, 2, 9, 0],[5, 3, 6, 1, 9, 4, 8, 7, 2, 2, 4, 7, 3, 8, 5, 9, 1, 6, 1, 8, 9, 7, 6, 2, 3, 4, 5, 8, 7, 4, 5, 3, 6, 1, 2, 9, 3, 6, 5, 2, 1, 9, 7, 8, 4, 9, 2, 1, 8, 4, 7, 6, 5, 3, 7, 1, 2, 9, 5, 3, 4, 6, 8, 6, 9, 8, 4, 2, 1, 5, 3, 7, 4, 5, 3, 6, 7, 8, 2, 9, 1],
easy,[8, 0, 4, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 9, 1, 0, 4, 0, 2, 3, 0, 0, 8, 5, 7, 0, 2, 4, 0, 0, 0, 2, 0, 1, 0, 7, 0, 0, 0, 6, 5, 0, 4, 2, 3, 0, 0, 9, 2, 0, 4, 0, 6, 5, 0, 7, 6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 5, 1, 0, 2],[8, 1, 4, 3, 2, 9, 6, 7, 5, 2, 3, 6, 8, 5, 7, 9, 1, 4, 5, 7, 9, 1, 6, 4, 8, 2, 3, 1, 9, 8, 5, 7, 3, 2, 4, 6, 3, 4, 2, 6, 1, 8, 7, 5, 9, 7, 6, 5, 9, 4, 2, 3, 8, 1, 9, 2, 1, 4, 8, 6, 5, 3, 7, 6, 5, 7, 2, 3, 1, 4, 9, 8, 4, 8, 3, 7, 9, 5, 1, 6, 2],
medium,[9, 0, 0, 0, 0, 5, 2, 0, 0, 5, 4, 0, 2, 8, 0, 0, 0, 1, 0, 0, 0, 6, 3, 4, 0, 0, 9, 7, 0, 9, 3, 0, 0, 0, 0, 0, 8, 5, 1, 0, 0, 0, 4, 9, 3, 0, 0, 0, 0, 0, 1, 7, 0, 6, 2, 0, 0, 8, 6, 3, 0, 0, 0, 3, 0, 0, 0, 9, 2, 0, 6, 7, 0, 0, 8, 4, 0, 0, 0, 0, 2],[9, 3, 6, 1, 7, 5, 2, 4, 8, 5, 4, 7, 2, 8, 9, 6, 3, 1, 1, 8, 2, 6, 3, 4, 5, 7, 9, 7, 6, 9, 3, 4, 8, 1, 2, 5, 8, 5, 1, 7, 2, 6, 4, 9, 3, 4, 2, 3, 9, 5, 1, 7, 8, 6, 2, 7, 5, 8, 6, 3, 9, 1, 4, 3, 1, 4, 5, 9, 2, 8, 6, 7, 6, 9, 8, 4, 1, 7, 3, 5, 2],
hard,[0, 0, 0, 0, 2, 0, 1, 9, 6, 0, 0, 6, 1, 0, 7, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 3, 5, 0, 0, 1, 0, 0, 4, 0, 6, 3, 0, 0, 4, 0, 0, 0, 8, 0, 0, 8, 9, 0, 3, 0, 0, 4, 0, 0, 6, 8, 0, 5, 0, 0, 0, 0, 9, 1, 0, 0, 9, 0, 8, 6, 0, 0, 7, 4, 9, 0, 3, 0, 0, 0, 0],[4, 7, 5, 8, 2, 3, 1, 9, 6, 9, 3, 6, 1, 5, 7, 2, 4, 8, 2, 1, 8, 4, 9, 6, 7, 3, 5, 5, 2, 1, 7, 8, 4, 9, 6, 3, 3, 6, 4, 2, 1, 9, 8, 5, 7, 8, 9, 7, 3, 6, 5, 4, 1, 2, 6, 8, 2, 5, 4, 1, 3, 7, 9, 1, 5, 3, 9, 7, 8, 6, 2, 4, 7, 4, 9, 6, 3, 2, 5, 8, 1],
medium,[0, 0, 0, 4, 6, 7, 5, 0, 8, 0, 0, 0, 0, 0, 8, 9, 0, 6, 0, 5, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 1, 6, 7, 0, 4, 0, 4, 0, 8, 0, 2, 0, 6, 0, 1, 0, 9, 3, 7, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 1, 0, 7, 0, 4, 6, 0, 0, 0, 0, 0, 2, 0, 6, 9, 8, 5, 0, 0, 0],[3, 9, 1, 4, 6, 7, 5, 2, 8, 4, 7, 2, 1, 5, 8, 9, 3, 6, 6, 5, 8, 2, 3, 9, 1, 4, 7, 8, 2, 3, 5, 1, 6, 7, 9, 4, 5, 4, 7, 8, 9, 2, 3, 6, 1, 1, 6, 9, 3, 7, 4, 2, 8, 5, 9, 8, 5, 7, 4, 3, 6, 1, 2, 7, 3, 4, 6, 2, 1, 8, 5, 9, 2, 1, 6, 9, 8, 5, 4, 7, 3],
medium,[4, 0, 0, 0, 0, 0, 8, 2, 5, 3, 0, 0, 6, 0, 0, 7, 0, 0, 1, 0, 0, 2, 9, 8, 0, 3, 6, 5, 0, 0, 8, 2, 0, 0, 0, 0, 0, 6, 0, 1, 0, 3, 0, 8, 0, 0, 0, 0, 0, 5, 9, 0, 0, 2, 6, 4, 0, 9, 3, 2, 0, 0, 8, 0, 0, 3, 0, 0, 4, 0, 0, 9, 9, 5, 2, 0, 0, 0, 0, 0, 3],[4, 9, 6, 3, 1, 7, 8, 2, 5, 3, 2, 8, 6, 4, 5, 7, 9, 1, 1, 7, 5, 2, 9, 8, 4, 3, 6, 5, 3, 4, 8, 2, 6, 9, 1, 7, 2, 6, 9, 1, 7, 3, 5, 8, 4, 7, 8, 1, 4, 5, 9, 3, 6, 2, 6, 4, 7, 9, 3, 2, 1, 5, 8, 8, 1, 3, 5, 6, 4, 2, 7, 9, 9, 5, 2, 7, 8, 1, 6, 4, 3],
medium,[3, 2, 0, 6, 0, 8, 0, 0, 0, 5, 4, 0, 0, 0, 0, 9, 6, 3, 6, 0, 0, 4, 3, 5, 1, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 6, 3, 4, 1, 0, 0, 5, 2, 9, 5, 0, 0, 0, 0, 3, 1, 0, 0, 0, 2, 0, 9, 0, 7, 6],[3, 2, 1, 6, 9, 8, 5, 4, 7, 5, 4, 8, 1, 7, 2, 9, 6, 3, 6, 7, 9, 4, 3, 5, 1, 2, 8, 8, 6, 4, 5, 2, 3, 7, 1, 9, 9, 3, 2, 8, 1, 7, 6, 5, 4, 1, 5, 7, 9, 6, 4, 3, 8, 2, 7, 8, 6, 3, 4, 1, 2, 9, 5, 2, 9, 5, 7, 8, 6, 4, 3, 1, 4, 1, 3, 2, 5, 9, 8, 7, 6],
medium,[0, 0, 0, 5, 2, 1, 7, 6, 0, 0, 1, 7, 0, 9, 0, 0, 0, 0, 0, 5, 4, 0, 3, 0, 9, 0, 2, 0, 3, 0, 0, 0, 4, 0, 0, 7, 0, 0, 1, 0, 0, 0, 2, 0, 0, 4, 0, 0, 1, 0, 0, 0, 3, 0, 9, 0, 5, 0, 8, 0, 3, 7, 0, 0, 0, 0, 0, 4, 0, 5, 2, 0, 0, 2, 3, 7, 1, 5, 0, 0, 0],[3, 9, 8, 5, 2, 1, 7, 6, 4, 2, 1, 7, 4, 9, 6, 8, 5, 3, 6, 5, 4, 8, 3, 7, 9, 1, 2, 5, 3, 9, 2, 6, 4, 1, 8, 7, 7, 6, 1, 3, 5, 8, 2, 4, 9, 4, 8, 2, 1, 7, 9, 6, 3, 5, 9, 4, 5, 6, 8, 2, 3, 7, 1, 1, 7, 6, 9, 4, 3, 5, 2, 8, 8, 2, 3, 7, 1, 5, 4, 9, 6],
easy,[0, 7, 3, 1, 0, 9, 0, 0, 0, 9, 8, 0, 3, 0, 6, 0, 0, 2, 5, 0, 2, 0, 0, 4, 0, 3, 0, 7, 9, 0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 4, 0, 7, 0, 0, 0, 4, 6, 0, 0, 0, 0, 0, 8, 7, 0, 3, 0, 2, 0, 0, 7, 0, 4, 2, 0, 0, 7, 0, 3, 0, 9, 1, 0, 0, 0, 5, 0, 8, 3, 2, 0],[6, 7, 3, 1, 2, 9, 5, 4, 8, 9, 8, 4, 3, 5, 6, 1, 7, 2, 5, 1, 2, 8, 7, 4, 6, 3, 9, 7, 9, 5, 6, 8, 2, 4, 1, 3, 3, 2, 8, 4, 1, 7, 9, 6, 5, 4, 6, 1, 9, 3, 5, 2, 8, 7, 8, 3, 9, 2, 6, 1, 7, 5, 4, 2, 5, 6, 7, 4, 3, 8, 9, 1, 1, 4, 7, 5, 9, 8, 3, 2, 6],
easy,[0, 0, 6, 1, 9, 0, 0, 7, 0, 0, 0, 9, 0, 4, 7, 6, 0, 0, 0, 2, 0, 0, 0, 5, 4, 0, 0, 6, 0, 0, 0, 0, 1, 7, 2, 4, 9, 0, 0, 0, 6, 0, 0, 0, 8, 8, 7, 2, 3, 0, 0, 0, 0, 6, 0, 0, 4, 8, 0, 0, 0, 3, 0, 0, 0, 3, 4, 2, 0, 8, 0, 0, 0, 6, 0, 0, 1, 3, 9, 0, 0],[4, 5, 6, 1, 9, 8, 2, 7, 3, 3, 8, 9, 2, 4, 7, 6, 1, 5, 1, 2, 7, 6, 3, 5, 4, 8, 9, 6, 3, 5, 9, 8, 1, 7, 2, 4, 9, 4, 1, 7, 6, 2, 3, 5, 8, 8, 7, 2, 3, 5, 4, 1, 9, 6, 2, 9, 4, 8, 7, 6, 5, 3, 1, 5, 1, 3, 4, 2, 9, 8, 6, 7, 7, 6, 8, 5, 1, 3, 9, 4, 2],
easy,[0, 0, 0, 0, 6, 2, 3, 0, 0, 0, 8, 0, 0, 0, 1, 0, 2, 9, 0, 0, 0, 3, 0, 9, 7, 0, 0, 0, 0, 4, 0, 1, 0, 8, 9, 0, 9, 6, 7, 0, 3, 0, 5, 1, 4, 0, 1, 8, 0, 4, 0, 2, 0, 0, 0, 0, 6, 8, 0, 4, 0, 0, 0, 5, 7, 0, 1, 0, 0, 0, 4, 0, 0, 0, 2, 6, 9, 0, 0, 0, 0],[7, 9, 5, 4, 6, 2, 3, 8, 1, 6, 8, 3, 5, 7, 1, 4, 2, 9, 4, 2, 1, 3, 8, 9, 7, 5, 6, 2, 5, 4, 7, 1, 6, 8, 9, 3, 9, 6, 7, 2, 3, 8, 5, 1, 4, 3, 1, 8, 9, 4, 5, 2, 6, 7, 1, 3, 6, 8, 5, 4, 9, 7, 2, 5, 7, 9, 1, 2, 3, 6, 4, 8, 8, 4, 2, 6, 9, 7, 1, 3, 5],
hard,[0, 8, 1, 2, 0, 5, 7, 0, 0, 0, 5, 0, 0, 6, 4, 0, 9, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 8, 0, 6, 7, 0, 0, 0, 7, 0, 3, 0, 0, 0, 2, 7, 0, 9, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 3, 0, 6, 7, 0, 0, 5, 0, 0, 0, 8, 4, 0, 1, 6, 7, 0],[3, 8, 1, 2, 9, 5, 7, 4, 6, 7, 5, 2, 1, 6, 4, 3, 9, 8, 6, 4, 9, 3, 8, 7, 5, 1, 2, 4, 1, 3, 5, 2, 8, 9, 6, 7, 8, 9, 6, 7, 1, 3, 4, 2, 5, 2, 7, 5, 9, 4, 6, 1, 8, 3, 1, 6, 7, 8, 5, 9, 2, 3, 4, 9, 3, 4, 6, 7, 2, 8, 5, 1, 5, 2, 8, 4, 3, 1, 6, 7, 9],
easy,[6, 0, 4, 0, 3, 0, 9, 5, 1, 2, 0, 3, 0, 1, 5, 0, 8, 0, 0, 1, 0, 4, 8, 0, 0, 0, 2, 0, 0, 1, 0, 0, 8, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 0, 0, 6, 0, 0, 5, 0, 0, 0, 6, 3, 0, 4, 0, 0, 4, 0, 5, 2, 0, 7, 0, 3, 7, 3, 6, 0, 4, 0, 2, 0, 5],[6, 8, 4, 2, 3, 7, 9, 5, 1, 2, 7, 3, 9, 1, 5, 4, 8, 6, 9, 1, 5, 4, 8, 6, 3, 7, 2, 4, 2, 1, 6, 7, 8, 5, 3, 9, 3, 6, 9, 1, 5, 4, 8, 2, 7, 8, 5, 7, 3, 9, 2, 6, 1, 4, 5, 9, 2, 7, 6, 3, 1, 4, 8, 1, 4, 8, 5, 2, 9, 7, 6, 3, 7, 3, 6, 8, 4, 1, 2, 9, 5],
medium,[0, 5, 3, 0, 4, 0, 7, 1, 0, 4, 0, 0, 0, 1, 0, 0, 8, 0, 0, 2, 1, 8, 7, 9, 0, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 7, 8, 4, 0, 9, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 0, 9, 6, 1, 5, 7, 0, 0, 8, 0, 0, 2, 0, 0, 0, 4, 0, 6, 7, 0, 5, 0, 3, 2, 0],[8, 5, 3, 6, 4, 2, 7, 1, 9, 4, 7, 9, 5, 1, 3, 6, 8, 2, 6, 2, 1, 8, 7, 9, 4, 5, 3, 7, 1, 4, 2, 9, 5, 8, 3, 6, 2, 3, 6, 7, 8, 4, 1, 9, 5, 5, 9, 8, 1, 3, 6, 2, 4, 7, 3, 4, 2, 9, 6, 1, 5, 7, 8, 1, 8, 5, 3, 2, 7, 9, 6, 4, 9, 6, 7, 4, 5, 8, 3, 2, 1],
medium,[6, 1, 2, 4, 0, 5, 0, 7, 3, 0, 0, 0, 0, 0, 0, 6, 9, 0, 0, 0, 7, 0, 2, 0, 0, 4, 1, 0, 2, 0, 7, 0, 4, 3, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 3, 0, 2, 0, 5, 0, 8, 3, 0, 0, 4, 0, 2, 0, 0, 0, 7, 4, 0, 0, 0, 0, 0, 0, 2, 6, 0, 9, 0, 3, 4, 1, 8],[6, 1, 2, 4, 9, 5, 8, 7, 3, 4, 5, 8, 1, 3, 7, 6, 9, 2, 3, 9, 7, 6, 2, 8, 5, 4, 1, 5, 2, 1, 7, 6, 4, 3, 8, 9, 7, 4, 3, 8, 5, 9, 1, 2, 6, 9, 8, 6, 3, 1, 2, 7, 5, 4, 8, 3, 9, 5, 4, 1, 2, 6, 7, 1, 7, 4, 2, 8, 6, 9, 3, 5, 2, 6, 5, 9, 7, 3, 4, 1, 8],
medium,[3, 0, 9, 6, 0, 2, 8, 0, 4, 8, 0, 0, 0, 0, 0, 2, 7, 0, 0, 0, 1, 0, 4, 0, 0, 6, 0, 0, 9, 3, 0, 5, 6, 0, 0, 0, 0, 0, 7, 0, 8, 0, 6, 0, 0, 0, 0, 0, 4, 7, 0, 1, 9, 0, 0, 6, 0, 0, 2, 0, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 9, 5, 0, 8, 1, 0, 4, 7, 0, 6],[3, 7, 9, 6, 1, 2, 8, 5, 4, 8, 4, 6, 5, 3, 9, 2, 7, 1, 2, 5, 1, 8, 4, 7, 9, 6, 3, 1, 9, 3, 2, 5, 6, 4, 8, 7, 4, 2, 7, 9, 8, 1, 6, 3, 5, 6, 8, 5, 4, 7, 3, 1, 9, 2, 9, 6, 4, 7, 2, 5, 3, 1, 8, 7, 1, 2, 3, 6, 8, 5, 4, 9, 5, 3, 8, 1, 9, 4, 7, 2, 6],
hard,[4, 0, 6, 0, 0, 9, 0, 0, 0, 2, 1, 0, 0, 4, 0, 9, 0, 0, 0, 5, 8, 0, 7, 0, 2, 0, 0, 0, 0, 0, 0, 6, 4, 0, 2, 7, 8, 0, 2, 9, 0, 7, 5, 0, 6, 7, 6, 0, 5, 1, 0, 0, 0, 0, 0, 0, 1, 0, 8, 0, 7, 9, 0, 0, 0, 4, 0, 9, 0, 0, 5, 2, 0, 0, 0, 6, 0, 0, 4, 0, 1],[4, 3, 6, 2, 5, 9, 1, 7, 8, 2, 1, 7, 3, 4, 8, 9, 6, 5, 9, 5, 8, 1, 7, 6, 2, 3, 4, 1, 9, 5, 8, 6, 4, 3, 2, 7, 8, 4, 2, 9, 3, 7, 5, 1, 6, 7, 6, 3, 5, 1, 2, 8, 4, 9, 6, 2, 1, 4, 8, 5, 7, 9, 3, 3, 8, 4, 7, 9, 1, 6, 5, 2, 5, 7, 9, 6, 2, 3, 4, 8, 1],
hard,[0, 0, 4, 0, 5, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 4, 3, 7, 0, 0, 4, 0, 2, 6, 9, 5, 0, 0, 0, 6, 4, 8, 0, 2, 0, 0, 0, 2, 0, 9, 0, 3, 0, 0, 0, 8, 0, 2, 3, 1, 0, 0, 0, 3, 4, 8, 5, 0, 7, 0, 0, 1, 1, 7, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 1, 0, 5, 0, 0],[8, 9, 4, 3, 5, 6, 7, 1, 2, 5, 2, 6, 1, 7, 9, 8, 4, 3, 7, 3, 1, 4, 8, 2, 6, 9, 5, 9, 5, 3, 6, 4, 8, 1, 2, 7, 4, 1, 2, 7, 9, 5, 3, 8, 6, 6, 8, 7, 2, 3, 1, 4, 5, 9, 3, 4, 8, 5, 2, 7, 9, 6, 1, 1, 7, 5, 9, 6, 4, 2, 3, 8, 2, 6, 9, 8, 1, 3, 5, 7, 4],
medium,[8, 0, 3, 7, 5, 0, 0, 1, 0, 7, 0, 9, 0, 3, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 1, 0, 3, 5, 3, 1, 2, 0, 7, 8, 9, 4, 2, 0, 4, 3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 1, 0, 7, 0, 6, 0, 8, 0, 0, 2, 6, 5, 0, 9],[8, 6, 3, 7, 5, 4, 9, 1, 2, 7, 2, 9, 1, 3, 8, 4, 6, 5, 4, 1, 5, 6, 9, 2, 3, 7, 8, 6, 7, 8, 9, 4, 5, 1, 2, 3, 5, 3, 1, 2, 6, 7, 8, 9, 4, 2, 9, 4, 3, 8, 1, 6, 5, 7, 9, 4, 6, 5, 7, 3, 2, 8, 1, 3, 5, 2, 8, 1, 9, 7, 4, 6, 1, 8, 7, 4, 2, 6, 5, 3, 9],
easy,[0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 3, 0, 4, 0, 0, 2, 4, 3, 0, 1, 0, 0, 9, 0, 7, 6, 0, 5, 0, 0, 0, 2, 7, 0, 0, 1, 3, 8, 5, 2, 6, 4, 0, 0, 8, 9, 0, 0, 0, 5, 0, 3, 8, 0, 6, 0, 0, 7, 0, 9, 1, 1, 0, 0, 6, 0, 8, 0, 0, 0, 0, 5, 7, 0, 0, 0, 0, 0, 0],[5, 7, 1, 2, 8, 9, 3, 6, 4, 9, 6, 8, 3, 7, 4, 1, 5, 2, 4, 3, 2, 1, 6, 5, 9, 8, 7, 6, 4, 5, 9, 1, 3, 2, 7, 8, 7, 1, 3, 8, 5, 2, 6, 4, 9, 2, 8, 9, 7, 4, 6, 5, 1, 3, 8, 2, 6, 5, 3, 7, 4, 9, 1, 1, 9, 4, 6, 2, 8, 7, 3, 5, 3, 5, 7, 4, 9, 1, 8, 2, 6],
medium,[9, 8, 0, 0, 3, 1, 4, 0, 0, 0, 0, 0, 4, 0, 5, 0, 7, 0, 4, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 2, 3, 0, 6, 2, 3, 0, 9, 7, 1, 0, 7, 9, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 9, 1, 0, 1, 0, 5, 0, 6, 0, 0, 0, 0, 0, 7, 9, 1, 0, 0, 6, 8],[9, 8, 6, 7, 3, 1, 4, 5, 2, 3, 2, 1, 4, 6, 5, 8, 7, 9, 4, 7, 5, 8, 9, 2, 1, 3, 6, 1, 5, 4, 6, 7, 8, 9, 2, 3, 8, 6, 2, 3, 5, 9, 7, 1, 4, 7, 9, 3, 1, 2, 4, 6, 8, 5, 6, 3, 8, 2, 4, 7, 5, 9, 1, 2, 1, 9, 5, 8, 6, 3, 4, 7, 5, 4, 7, 9, 1, 3, 2, 6, 8],
easy,[4, 8, 0, 0, 0, 3, 0, 0, 9, 0, 9, 0, 7, 0, 0, 0, 8, 0, 0, 0, 3, 9, 0, 0, 0, 0, 1, 0, 6, 0, 0, 3, 5, 9, 0, 0, 3, 0, 4, 2, 7, 9, 6, 0, 8, 0, 0, 9, 1, 8, 0, 0, 3, 0, 5, 0, 0, 0, 0, 7, 8, 0, 0, 0, 3, 0, 0, 0, 2, 0, 7, 0, 2, 0, 0, 5, 0, 0, 0, 6, 3],[4, 8, 7, 6, 1, 3, 5, 2, 9, 1, 9, 5, 7, 2, 4, 3, 8, 6, 6, 2, 3, 9, 5, 8, 7, 4, 1, 8, 6, 2, 4, 3, 5, 9, 1, 7, 3, 1, 4, 2, 7, 9, 6, 5, 8, 7, 5, 9, 1, 8, 6, 2, 3, 4, 5, 4, 1, 3, 6, 7, 8, 9, 2, 9, 3, 6, 8, 4, 2, 1, 7, 5, 2, 7, 8, 5, 9, 1, 4, 6, 3],
medium,[0, 0, 0, 0, 5, 0, 8, 3, 0, 8, 9, 0, 0, 4, 3, 0, 0, 2, 7, 5, 0, 0, 2, 1, 0, 0, 9, 0, 7, 0, 0, 8, 9, 0, 0, 0, 3, 6, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 1, 6, 0, 0, 8, 0, 1, 0, 0, 6, 9, 0, 0, 4, 8, 6, 0, 0, 2, 3, 0, 0, 1, 5, 0, 4, 2, 0, 1, 0, 0, 0, 0],[2, 1, 4, 9, 5, 6, 8, 3, 7, 8, 9, 6, 7, 4, 3, 1, 5, 2, 7, 5, 3, 8, 2, 1, 4, 6, 9, 5, 7, 1, 3, 8, 9, 6, 2, 4, 3, 6, 8, 4, 7, 2, 5, 9, 1, 4, 2, 9, 1, 6, 5, 7, 8, 3, 1, 3, 5, 6, 9, 7, 2, 4, 8, 6, 8, 7, 2, 3, 4, 9, 1, 5, 9, 4, 2, 5, 1, 8, 3, 7, 6],
easy,[0, 0, 0, 0, 3, 8, 9, 4, 0, 3, 9, 0, 0, 0, 0, 0, 0, 7, 4, 0, 7, 0, 2, 0, 0, 0, 3, 0, 0, 0, 3, 6, 5, 2, 8, 0, 5, 0, 0, 4, 0, 2, 0, 0, 6, 0, 6, 4, 1, 8, 7, 0, 0, 0, 9, 0, 0, 0, 4, 0, 7, 0, 8, 6, 0, 0, 0, 0, 0, 0, 3, 1, 0, 7, 1, 6, 5, 0, 0, 0, 0],[1, 2, 6, 7, 3, 8, 9, 4, 5, 3, 9, 8, 5, 1, 4, 6, 2, 7, 4, 5, 7, 9, 2, 6, 8, 1, 3, 7, 1, 9, 3, 6, 5, 2, 8, 4, 5, 8, 3, 4, 9, 2, 1, 7, 6, 2, 6, 4, 1, 8, 7, 3, 5, 9, 9, 3, 5, 2, 4, 1, 7, 6, 8, 6, 4, 2, 8, 7, 9, 5, 3, 1, 8, 7, 1, 6, 5, 3, 4, 9, 2],
medium,[0, 0, 4, 0, 0, 2, 8, 6, 0, 0, 0, 0, 3, 0, 8, 0, 9, 4, 8, 0, 6, 9, 0, 0, 5, 2, 0, 6, 0, 0, 0, 3, 0, 0, 1, 5, 0, 0, 0, 5, 0, 4, 0, 0, 0, 5, 9, 0, 0, 7, 0, 0, 0, 8, 0, 2, 9, 0, 0, 7, 4, 0, 6, 1, 6, 0, 4, 0, 5, 0, 0, 0, 0, 7, 5, 6, 0, 0, 9, 0, 0],[9, 1, 4, 7, 5, 2, 8, 6, 3, 7, 5, 2, 3, 6, 8, 1, 9, 4, 8, 3, 6, 9, 4, 1, 5, 2, 7, 6, 4, 7, 8, 3, 9, 2, 1, 5, 2, 8, 3, 5, 1, 4, 6, 7, 9, 5, 9, 1, 2, 7, 6, 3, 4, 8, 3, 2, 9, 1, 8, 7, 4, 5, 6, 1, 6, 8, 4, 9, 5, 7, 3, 2, 4, 7, 5, 6, 2, 3, 9, 8, 1],
easy,[0, 0, 0, 9, 0, 0, 6, 0, 0, 1, 6, 0, 2, 3, 0, 7, 0, 4, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 3, 7, 0, 6, 0, 5, 8, 0, 9, 0, 0, 5, 0, 0, 2, 0, 6, 8, 0, 1, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 9, 2, 0, 0, 5, 0, 6, 0, 7, 1, 0, 4, 9, 0, 0, 4, 0, 0, 3, 0, 0, 0],[7, 5, 2, 9, 8, 4, 6, 1, 3, 1, 6, 9, 2, 3, 5, 7, 8, 4, 3, 4, 8, 6, 1, 7, 5, 9, 2, 2, 1, 3, 7, 4, 6, 9, 5, 8, 4, 9, 7, 3, 5, 8, 1, 2, 6, 6, 8, 5, 1, 9, 2, 4, 3, 7, 8, 3, 1, 4, 6, 9, 2, 7, 5, 5, 2, 6, 8, 7, 1, 3, 4, 9, 9, 7, 4, 5, 2, 3, 8, 6, 1],
easy,[7, 0, 8, 0, 0, 2, 4, 9, 0, 0, 9, 0, 0, 0, 0, 3, 0, 5, 0, 5, 0, 0, 1, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 5, 1, 9, 6, 8, 4, 7, 3, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 6, 0, 0, 7, 0, 9, 0, 4, 0, 0, 0, 0, 6, 0, 0, 3, 2, 8, 0, 0, 1, 0, 9],[7, 6, 8, 3, 5, 2, 4, 9, 1, 2, 9, 1, 7, 4, 6, 3, 8, 5, 4, 5, 3, 9, 1, 8, 6, 2, 7, 3, 2, 6, 5, 9, 7, 8, 1, 4, 5, 1, 9, 6, 8, 4, 7, 3, 2, 8, 4, 7, 1, 2, 3, 9, 5, 6, 1, 8, 5, 4, 6, 9, 2, 7, 3, 9, 7, 4, 2, 3, 1, 5, 6, 8, 6, 3, 2, 8, 7, 5, 1, 4, 9],
easy,[5, 4, 0, 0, 0, 3, 2, 0, 0, 9, 0, 6, 2, 0, 4, 0, 0, 3, 0, 2, 3, 1, 0, 7, 0, 0, 0, 4, 0, 1, 0, 0, 0, 8, 0, 5, 0, 0, 0, 4, 0, 5, 0, 0, 0, 2, 0, 9, 0, 0, 0, 6, 0, 4, 0, 0, 0, 6, 0, 9, 4, 2, 0, 3, 0, 0, 8, 0, 2, 1, 0, 6, 0, 0, 2, 5, 0, 0, 0, 3, 7],[5, 4, 7, 9, 8, 3, 2, 6, 1, 9, 1, 6, 2, 5, 4, 7, 8, 3, 8, 2, 3, 1, 6, 7, 5, 4, 9, 4, 3, 1, 7, 2, 6, 8, 9, 5, 7, 6, 8, 4, 9, 5, 3, 1, 2, 2, 5, 9, 3, 1, 8, 6, 7, 4, 1, 7, 5, 6, 3, 9, 4, 2, 8, 3, 9, 4, 8, 7, 2, 1, 5, 6, 6, 8, 2, 5, 4, 1, 9, 3, 7],
hard,[0, 0, 4, 0, 0, 6, 0, 9, 0, 0, 0, 6, 9, 0, 0, 3, 0, 1, 1, 0, 0, 0, 0, 5, 0, 0, 6, 0, 6, 0, 2, 9, 0, 0, 0, 8, 0, 8, 1, 6, 5, 7, 9, 3, 0, 9, 0, 0, 0, 1, 4, 0, 6, 0, 5, 0, 0, 7, 0, 0, 0, 0, 9, 8, 0, 9, 0, 0, 2, 7, 0, 0, 0, 1, 0, 5, 0, 0, 2, 0, 0],[3, 5, 4, 1, 2, 6, 8, 9, 7, 7, 2, 6, 9, 4, 8, 3, 5, 1, 1, 9, 8, 3, 7, 5, 4, 2, 6, 4, 6, 5, 2, 9, 3, 1, 7, 8, 2, 8, 1, 6, 5, 7, 9, 3, 4, 9, 7, 3, 8, 1, 4, 5, 6, 2, 5, 4, 2, 7, 3, 1, 6, 8, 9, 8, 3, 9, 4, 6, 2, 7, 1, 5, 6, 1, 7, 5, 8, 9, 2, 4, 3],
easy,[0, 0, 8, 0, 0, 3, 7, 1, 6, 0, 0, 0, 0, 0, 8, 3, 0, 5, 6, 0, 0, 2, 0, 0, 0, 9, 4, 7, 0, 5, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 5, 4, 0, 1, 5, 8, 0, 0, 0, 7, 0, 0, 9, 1, 0, 9, 3, 0, 0, 0, 0, 0, 4, 7, 3, 5, 0, 0, 1, 0, 0],[2, 5, 8, 9, 4, 3, 7, 1, 6, 9, 1, 4, 7, 6, 8, 3, 2, 5, 6, 3, 7, 2, 5, 1, 8, 9, 4, 7, 6, 5, 1, 2, 4, 9, 8, 3, 3, 4, 1, 8, 7, 9, 6, 5, 2, 8, 9, 2, 6, 3, 5, 4, 7, 1, 5, 8, 6, 4, 1, 7, 2, 3, 9, 1, 2, 9, 3, 8, 6, 5, 4, 7, 4, 7, 3, 5, 9, 2, 1, 6, 8],
hard,[4, 0, 0, 0, 0, 2, 1, 9, 7, 0, 0, 8, 0, 7, 9, 0, 0, 0, 5, 9, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 8, 6, 0, 0, 0, 2, 0, 5, 4, 0, 0, 0, 9, 8, 0, 2, 0, 0, 0, 5, 1, 0, 7, 0, 0, 0, 0, 0, 9, 0, 0, 6, 3, 0, 0, 0, 6, 4, 0, 5, 0, 0, 3, 6, 5, 2, 0, 0, 0, 0, 9],[4, 3, 6, 5, 8, 2, 1, 9, 7, 1, 2, 8, 4, 7, 9, 6, 3, 5, 5, 9, 7, 1, 3, 6, 8, 2, 4, 7, 1, 9, 8, 6, 4, 3, 5, 2, 6, 5, 4, 3, 2, 7, 9, 8, 1, 2, 8, 3, 9, 5, 1, 4, 7, 6, 8, 4, 1, 7, 9, 5, 2, 6, 3, 9, 7, 2, 6, 4, 3, 5, 1, 8, 3, 6, 5, 2, 1, 8, 7, 4, 9],
hard,[8, 3, 0, 6, 1, 2, 4, 7, 0, 5, 1, 0, 0, 4, 7, 3, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 7, 0, 8, 2, 3, 0, 0, 1, 4, 0, 9, 5, 4, 7, 8, 0, 2, 3],[8, 3, 9, 6, 1, 2, 4, 7, 5, 5, 1, 6, 9, 4, 7, 3, 8, 2, 2, 7, 4, 5, 8, 3, 1, 6, 9, 6, 2, 7, 3, 5, 1, 9, 4, 8, 4, 8, 3, 7, 9, 6, 2, 5, 1, 9, 5, 1, 8, 2, 4, 7, 3, 6, 3, 4, 2, 1, 6, 5, 8, 9, 7, 7, 6, 8, 2, 3, 9, 5, 1, 4, 1, 9, 5, 4, 7, 8, 6, 2, 3],
hard,[0, 8, 0, 0, 4, 9, 0, 0, 1, 0, 0, 3, 0, 0, 0, 4, 0, 7, 0, 1, 5, 0, 0, 8, 0, 0, 6, 8, 0, 9, 0, 1, 4, 5, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 4, 7, 6, 0, 8, 0, 9, 3, 0, 0, 9, 0, 0, 1, 7, 0, 1, 0, 8, 0, 0, 0, 6, 0, 0, 7, 0, 0, 4, 3, 0, 0, 2, 0],[2, 8, 7, 6, 4, 9, 3, 5, 1, 9, 6, 3, 1, 5, 2, 4, 8, 7, 4, 1, 5, 3, 7, 8, 2, 9, 6, 8, 7, 9, 2, 1, 4, 5, 6, 3, 6, 3, 1, 8, 9, 5, 7, 4, 2, 5, 2, 4, 7, 6, 3, 8, 1, 9, 3, 4, 2, 9, 8, 6, 1, 7, 5, 1, 9, 8, 5, 2, 7, 6, 3, 4, 7, 5, 6, 4, 3, 1, 9, 2, 8],
medium,[6, 0, 0, 3, 0, 8, 0, 7, 5, 0, 1, 0, 5, 7, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 7, 9, 2, 0, 0, 1, 0, 8, 0, 0, 0, 7, 0, 1, 0, 0, 0, 1, 0, 3, 0, 0, 6, 7, 5, 0, 0, 3, 5, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 3, 0, 2, 0, 8, 6, 0, 9, 0, 4, 0, 0, 7],[6, 9, 4, 3, 1, 8, 2, 7, 5, 3, 1, 2, 5, 7, 9, 8, 4, 6, 7, 5, 8, 6, 4, 2, 3, 1, 9, 4, 7, 9, 2, 3, 5, 1, 6, 8, 5, 2, 6, 7, 8, 1, 4, 9, 3, 1, 8, 3, 4, 9, 6, 7, 5, 2, 2, 3, 5, 1, 6, 7, 9, 8, 4, 9, 4, 7, 8, 5, 3, 6, 2, 1, 8, 6, 1, 9, 2, 4, 5, 3, 7],
hard,[3, 8, 0, 0, 0, 1, 5, 4, 0, 5, 2, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 5, 8, 3, 0, 7, 0, 6, 0, 0, 0, 5, 4, 0, 3, 0, 1, 0, 0, 0, 0, 0, 7, 0, 8, 0, 4, 6, 0, 0, 0, 1, 0, 1, 0, 6, 2, 3, 0, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 6, 9, 0, 7, 5, 8, 0, 0, 0, 3, 1],[3, 8, 9, 7, 2, 1, 5, 4, 6, 5, 2, 7, 3, 4, 6, 1, 9, 8, 6, 4, 1, 9, 5, 8, 3, 2, 7, 7, 6, 2, 1, 9, 5, 4, 8, 3, 9, 1, 3, 4, 8, 2, 6, 7, 5, 8, 5, 4, 6, 7, 3, 9, 1, 2, 1, 9, 6, 2, 3, 7, 8, 5, 4, 2, 3, 8, 5, 1, 4, 7, 6, 9, 4, 7, 5, 8, 6, 9, 2, 3, 1],
medium,[0, 6, 0, 7, 0, 1, 4, 0, 0, 2, 0, 0, 0, 9, 6, 0, 0, 3, 0, 0, 0, 0, 0, 4, 9, 6, 0, 3, 0, 4, 2, 1, 9, 5, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 1, 6, 5, 8, 3, 0, 4, 0, 9, 2, 1, 0, 0, 0, 0, 0, 5, 0, 0, 3, 4, 0, 0, 0, 1, 0, 0, 6, 9, 0, 7, 0, 4, 0],[8, 6, 9, 7, 3, 1, 4, 5, 2, 2, 4, 5, 8, 9, 6, 7, 1, 3, 7, 1, 3, 5, 2, 4, 9, 6, 8, 3, 7, 4, 2, 1, 9, 5, 8, 6, 6, 5, 8, 4, 7, 3, 1, 2, 9, 9, 2, 1, 6, 5, 8, 3, 7, 4, 4, 9, 2, 1, 6, 5, 8, 3, 7, 5, 8, 7, 3, 4, 2, 6, 9, 1, 1, 3, 6, 9, 8, 7, 2, 4, 5],
hard,[0, 0, 5, 0, 0, 1, 9, 0, 4, 6, 0, 2, 0, 0, 0, 0, 0, 1, 0, 7, 1, 0, 9, 0, 0, 2, 6, 0, 0, 4, 5, 0, 6, 7, 0, 0, 0, 0, 7, 9, 0, 4, 6, 0, 0, 0, 0, 3, 7, 0, 2, 4, 0, 0, 7, 2, 0, 0, 5, 0, 1, 6, 0, 1, 0, 0, 0, 0, 0, 3, 0, 5, 5, 0, 8, 1, 0, 0, 2, 0, 0],[3, 8, 5, 6, 2, 1, 9, 7, 4, 6, 9, 2, 8, 4, 7, 5, 3, 1, 4, 7, 1, 3, 9, 5, 8, 2, 6, 9, 1, 4, 5, 3, 6, 7, 8, 2, 2, 5, 7, 9, 8, 4, 6, 1, 3, 8, 6, 3, 7, 1, 2, 4, 5, 9, 7, 2, 9, 4, 5, 3, 1, 6, 8, 1, 4, 6, 2, 7, 8, 3, 9, 5, 5, 3, 8, 1, 6, 9, 2, 4, 7],
medium,[3, 0, 0, 1, 8, 0, 4, 6, 0, 1, 0, 8, 6, 0, 2, 0, 0, 5, 0, 0, 0, 3, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 9, 0, 5, 3, 0, 7, 0, 8, 0, 3, 0, 4, 0, 2, 3, 0, 7, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 8, 0, 0, 0, 5, 0, 0, 9, 0, 1, 6, 0, 7, 0, 2, 7, 0, 3, 6, 0, 0, 9],[3, 5, 9, 1, 8, 7, 4, 6, 2, 1, 4, 8, 6, 9, 2, 3, 7, 5, 7, 6, 2, 3, 5, 4, 8, 9, 1, 8, 1, 6, 4, 2, 9, 7, 5, 3, 9, 7, 5, 8, 1, 3, 2, 4, 6, 2, 3, 4, 7, 6, 5, 9, 1, 8, 6, 9, 1, 2, 7, 8, 5, 3, 4, 5, 8, 3, 9, 4, 1, 6, 2, 7, 4, 2, 7, 5, 3, 6, 1, 8, 9],
hard,[0, 1, 2, 0, 8, 0, 7, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 0, 3, 0, 0, 0, 2, 6, 5, 9, 8, 0, 3, 0, 0, 7, 0, 6, 0, 2, 1, 9, 0, 0, 0, 0, 0, 7, 4, 2, 0, 6, 0, 3, 0, 0, 1, 0, 6, 2, 1, 7, 4, 0, 0, 0, 5, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 4, 0, 9, 0, 2, 8, 0],[5, 1, 2, 3, 8, 9, 7, 4, 6, 8, 6, 9, 4, 5, 7, 1, 2, 3, 3, 4, 7, 1, 2, 6, 5, 9, 8, 4, 3, 8, 9, 7, 1, 6, 5, 2, 1, 9, 5, 8, 6, 2, 3, 7, 4, 2, 7, 6, 5, 3, 4, 8, 1, 9, 6, 2, 1, 7, 4, 8, 9, 3, 5, 9, 8, 3, 2, 1, 5, 4, 6, 7, 7, 5, 4, 6, 9, 3, 2, 8, 1],
medium,[0, 2, 0, 0, 0, 0, 0, 5, 0, 5, 3, 0, 6, 0, 0, 0, 0, 0, 1, 8, 0, 9, 0, 5, 2, 6, 0, 3, 0, 0, 8, 4, 0, 5, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0, 4, 8, 0, 7, 0, 5, 2, 0, 0, 6, 0, 1, 2, 5, 0, 7, 0, 4, 8, 0, 0, 0, 0, 0, 8, 0, 2, 9, 0, 7, 0, 0, 0, 0, 0, 3, 0],[7, 2, 6, 3, 8, 4, 9, 5, 1, 5, 3, 9, 6, 2, 1, 4, 8, 7, 1, 8, 4, 9, 7, 5, 2, 6, 3, 3, 9, 1, 8, 4, 6, 5, 7, 2, 2, 6, 5, 7, 9, 3, 8, 1, 4, 8, 4, 7, 1, 5, 2, 3, 9, 6, 9, 1, 2, 5, 3, 7, 6, 4, 8, 6, 5, 3, 4, 1, 8, 7, 2, 9, 4, 7, 8, 2, 6, 9, 1, 3, 5],
medium,[0, 0, 0, 1, 4, 0, 5, 8, 0, 0, 1, 4, 8, 7, 0, 6, 0, 9, 2, 0, 8, 0, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 4, 0, 0, 8, 0, 4, 2, 0, 0, 0, 9, 3, 0, 5, 0, 0, 6, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 8, 0, 7, 4, 0, 5, 0, 2, 9, 3, 6, 0, 0, 3, 7, 0, 8, 1, 0, 0, 0],[7, 9, 6, 1, 4, 2, 5, 8, 3, 3, 1, 4, 8, 7, 5, 6, 2, 9, 2, 5, 8, 9, 6, 3, 1, 7, 4, 1, 6, 3, 2, 9, 4, 7, 5, 8, 8, 4, 2, 5, 1, 7, 9, 3, 6, 5, 7, 9, 6, 3, 8, 4, 1, 2, 9, 2, 1, 3, 5, 6, 8, 4, 7, 4, 8, 5, 7, 2, 9, 3, 6, 1, 6, 3, 7, 4, 8, 1, 2, 9, 5],
hard,[0, 0, 9, 0, 0, 0, 1, 5, 6, 0, 0, 0, 0, 2, 7, 0, 0, 8, 0, 0, 1, 0, 0, 0, 7, 0, 0, 5, 4, 7, 3, 0, 6, 2, 0, 0, 1, 0, 8, 7, 0, 2, 4, 0, 5, 0, 0, 2, 5, 0, 8, 6, 7, 1, 0, 0, 4, 0, 0, 0, 3, 0, 0, 6, 0, 0, 4, 7, 0, 0, 0, 0, 7, 1, 3, 0, 0, 0, 5, 0, 0],[2, 7, 9, 8, 3, 4, 1, 5, 6, 3, 5, 6, 1, 2, 7, 9, 4, 8, 4, 8, 1, 9, 6, 5, 7, 2, 3, 5, 4, 7, 3, 1, 6, 2, 8, 9, 1, 6, 8, 7, 9, 2, 4, 3, 5, 9, 3, 2, 5, 4, 8, 6, 7, 1, 8, 2, 4, 6, 5, 1, 3, 9, 7, 6, 9, 5, 4, 7, 3, 8, 1, 2, 7, 1, 3, 2, 8, 9, 5, 6, 4],
hard,[5, 2, 0, 0, 0, 1, 0, 6, 4, 1, 0, 0, 8, 3, 0, 0, 9, 5, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 2, 9, 0, 2, 4, 0, 3, 7, 0, 6, 6, 0, 5, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 2, 6, 0, 0, 4, 9, 0, 0, 3, 4, 8, 0, 3, 0, 0, 0, 2, 7],[5, 2, 8, 9, 7, 1, 3, 6, 4, 1, 7, 6, 8, 3, 4, 2, 9, 5, 3, 9, 4, 5, 6, 2, 8, 7, 1, 8, 3, 7, 6, 9, 5, 4, 1, 2, 9, 1, 2, 4, 8, 3, 7, 5, 6, 6, 4, 5, 2, 1, 7, 9, 3, 8, 7, 5, 3, 1, 2, 8, 6, 4, 9, 2, 6, 1, 7, 4, 9, 5, 8, 3, 4, 8, 9, 3, 5, 6, 1, 2, 7],
easy,[0, 0, 5, 4, 0, 0, 0, 9, 6, 0, 3, 0, 0, 5, 1, 2, 0, 7, 2, 7, 4, 0, 6, 0, 5, 0, 0, 3, 0, 0, 0, 0, 0, 9, 0, 5, 0, 9, 0, 0, 0, 0, 0, 2, 0, 7, 0, 8, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 9, 0, 6, 7, 4, 5, 0, 7, 1, 4, 0, 0, 3, 0, 9, 4, 0, 0, 0, 6, 1, 0, 0],[1, 8, 5, 4, 2, 7, 3, 9, 6, 6, 3, 9, 8, 5, 1, 2, 4, 7, 2, 7, 4, 9, 6, 3, 5, 1, 8, 3, 1, 2, 6, 7, 4, 9, 8, 5, 4, 9, 6, 5, 3, 8, 7, 2, 1, 7, 5, 8, 2, 1, 9, 4, 6, 3, 8, 2, 1, 3, 9, 5, 6, 7, 4, 5, 6, 7, 1, 4, 2, 8, 3, 9, 9, 4, 3, 7, 8, 6, 1, 5, 2],
medium,[0, 0, 6, 0, 0, 0, 0, 9, 5, 4, 1, 0, 9, 0, 7, 6, 0, 8, 0, 5, 0, 6, 0, 2, 0, 7, 0, 0, 0, 0, 8, 4, 1, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 5, 2, 3, 0, 0, 0, 0, 4, 0, 3, 0, 9, 0, 1, 0, 8, 0, 3, 1, 0, 4, 0, 5, 2, 7, 9, 0, 0, 0, 0, 8, 0, 0],[3, 7, 6, 4, 1, 8, 2, 9, 5, 4, 1, 2, 9, 5, 7, 6, 3, 8, 9, 5, 8, 6, 3, 2, 1, 7, 4, 6, 3, 9, 8, 4, 1, 5, 2, 7, 5, 2, 4, 7, 9, 6, 3, 8, 1, 1, 8, 7, 5, 2, 3, 4, 6, 9, 2, 4, 5, 3, 8, 9, 7, 1, 6, 8, 6, 3, 1, 7, 4, 9, 5, 2, 7, 9, 1, 2, 6, 5, 8, 4, 3],
easy,[0, 0, 0, 2, 0, 7, 0, 6, 0, 4, 6, 3, 5, 0, 0, 9, 7, 2, 1, 0, 0, 6, 0, 0, 4, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 3, 3, 0, 0, 1, 0, 2, 0, 0, 8, 2, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 6, 0, 0, 4, 6, 2, 4, 0, 0, 3, 5, 9, 7, 0, 3, 0, 4, 0, 5, 0, 0, 0],[9, 8, 5, 2, 4, 7, 3, 6, 1, 4, 6, 3, 5, 8, 1, 9, 7, 2, 1, 7, 2, 6, 3, 9, 4, 8, 5, 8, 5, 1, 9, 7, 4, 6, 2, 3, 3, 9, 6, 1, 5, 2, 7, 4, 8, 2, 4, 7, 3, 6, 8, 1, 5, 9, 5, 1, 9, 7, 2, 6, 8, 3, 4, 6, 2, 4, 8, 1, 3, 5, 9, 7, 7, 3, 8, 4, 9, 5, 2, 1, 6],
hard,[0, 4, 7, 0, 0, 0, 9, 3, 0, 0, 0, 0, 9, 7, 2, 0, 5, 6, 2, 0, 9, 0, 0, 6, 8, 0, 7, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 8, 0, 5, 0, 7, 0, 9, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 9, 0, 4, 8, 0, 0, 7, 0, 3, 5, 7, 0, 2, 9, 4, 0, 0, 0, 0, 1, 2, 0, 0, 0, 5, 4, 0],[6, 4, 7, 1, 5, 8, 9, 3, 2, 1, 3, 8, 9, 7, 2, 4, 5, 6, 2, 5, 9, 3, 4, 6, 8, 1, 7, 4, 9, 5, 6, 3, 1, 2, 7, 8, 3, 8, 6, 5, 2, 7, 1, 9, 4, 7, 2, 1, 4, 8, 9, 3, 6, 5, 9, 6, 4, 8, 1, 5, 7, 2, 3, 5, 7, 3, 2, 9, 4, 6, 8, 1, 8, 1, 2, 7, 6, 3, 5, 4, 9],
easy,[6, 0, 7, 0, 0, 8, 9, 3, 0, 0, 0, 0, 0, 5, 0, 7, 0, 4, 0, 3, 0, 0, 7, 0, 2, 0, 0, 0, 0, 3, 0, 8, 1, 0, 7, 0, 0, 9, 0, 4, 0, 3, 0, 5, 0, 0, 1, 0, 7, 6, 0, 8, 0, 0, 0, 0, 9, 0, 4, 0, 0, 2, 0, 4, 0, 6, 0, 3, 0, 0, 0, 0, 0, 5, 2, 1, 0, 0, 6, 0, 8],[6, 4, 7, 2, 1, 8, 9, 3, 5, 8, 2, 1, 3, 5, 9, 7, 6, 4, 9, 3, 5, 6, 7, 4, 2, 8, 1, 5, 6, 3, 9, 8, 1, 4, 7, 2, 7, 9, 8, 4, 2, 3, 1, 5, 6, 2, 1, 4, 7, 6, 5, 8, 9, 3, 1, 8, 9, 5, 4, 6, 3, 2, 7, 4, 7, 6, 8, 3, 2, 5, 1, 9, 3, 5, 2, 1, 9, 7, 6, 4, 8],
easy,[3, 0, 0, 0, 7, 9, 1, 0, 0, 0, 0, 0, 1, 0, 8, 0, 5, 2, 0, 0, 1, 0, 4, 0, 0, 0, 6, 4, 2, 0, 0, 5, 0, 0, 0, 9, 5, 0, 9, 4, 0, 6, 8, 0, 7, 1, 0, 0, 0, 8, 0, 0, 4, 3, 9, 0, 0, 0, 3, 0, 4, 0, 0, 6, 4, 0, 8, 0, 5, 0, 0, 0, 0, 0, 3, 6, 9, 0, 0, 0, 5],[3, 6, 5, 2, 7, 9, 1, 8, 4, 7, 9, 4, 1, 6, 8, 3, 5, 2, 2, 8, 1, 5, 4, 3, 7, 9, 6, 4, 2, 8, 3, 5, 7, 6, 1, 9, 5, 3, 9, 4, 1, 6, 8, 2, 7, 1, 7, 6, 9, 8, 2, 5, 4, 3, 9, 5, 2, 7, 3, 1, 4, 6, 8, 6, 4, 7, 8, 2, 5, 9, 3, 1, 8, 1, 3, 6, 9, 4, 2, 7, 5],
easy,[8, 2, 6, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 5, 7, 6, 8, 2, 0, 0, 0, 0, 9, 1, 2, 0, 0, 0, 7, 0, 0, 0, 0, 4, 9, 7, 0, 0, 0, 0, 7, 0, 0, 0, 8, 2, 3, 0, 0, 0, 0, 8, 4, 1, 9, 2, 0, 0, 8, 0, 7, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 8, 4, 6],[8, 2, 6, 9, 1, 4, 7, 5, 3, 1, 4, 9, 5, 7, 3, 6, 8, 2, 3, 5, 7, 6, 8, 2, 1, 9, 4, 6, 9, 1, 2, 3, 5, 4, 7, 8, 2, 3, 8, 4, 9, 7, 5, 6, 1, 4, 7, 5, 1, 6, 8, 2, 3, 9, 5, 6, 3, 8, 4, 1, 9, 2, 7, 9, 8, 4, 7, 2, 6, 3, 1, 5, 7, 1, 2, 3, 5, 9, 8, 4, 6],
medium,[7, 0, 0, 4, 0, 0, 6, 1, 0, 0, 8, 4, 0, 0, 0, 5, 0, 0, 9, 6, 3, 0, 0, 2, 8, 0, 0, 0, 0, 2, 6, 0, 1, 4, 0, 0, 0, 1, 0, 0, 2, 0, 0, 6, 0, 0, 0, 6, 3, 0, 4, 9, 0, 0, 0, 0, 8, 1, 0, 0, 7, 4, 3, 0, 0, 7, 0, 0, 0, 1, 5, 0, 0, 3, 1, 0, 0, 7, 0, 0, 6],[7, 2, 5, 4, 8, 3, 6, 1, 9, 1, 8, 4, 9, 7, 6, 5, 3, 2, 9, 6, 3, 5, 1, 2, 8, 7, 4, 3, 5, 2, 6, 9, 1, 4, 8, 7, 4, 1, 9, 7, 2, 8, 3, 6, 5, 8, 7, 6, 3, 5, 4, 9, 2, 1, 2, 9, 8, 1, 6, 5, 7, 4, 3, 6, 4, 7, 2, 3, 9, 1, 5, 8, 5, 3, 1, 8, 4, 7, 2, 9, 6],
medium,[0, 4, 0, 3, 0, 0, 0, 0, 6, 0, 0, 5, 0, 0, 0, 0, 7, 1, 0, 2, 8, 0, 7, 0, 4, 9, 0, 0, 8, 4, 7, 6, 3, 0, 0, 9, 5, 0, 0, 0, 0, 0, 0, 0, 2, 9, 0, 0, 2, 1, 5, 6, 4, 0, 0, 3, 2, 0, 9, 0, 1, 5, 0, 8, 1, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 7, 0, 8, 0],[1, 4, 7, 3, 5, 9, 8, 2, 6, 6, 9, 5, 4, 8, 2, 3, 7, 1, 3, 2, 8, 6, 7, 1, 4, 9, 5, 2, 8, 4, 7, 6, 3, 5, 1, 9, 5, 6, 1, 9, 4, 8, 7, 3, 2, 9, 7, 3, 2, 1, 5, 6, 4, 8, 7, 3, 2, 8, 9, 6, 1, 5, 4, 8, 1, 9, 5, 3, 4, 2, 6, 7, 4, 5, 6, 1, 2, 7, 9, 8, 3],
medium,[3, 0, 0, 0, 8, 6, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 3, 8, 0, 8, 1, 0, 3, 9, 7, 0, 0, 0, 0, 8, 0, 5, 0, 0, 0, 3, 0, 0, 3, 0, 7, 0, 6, 0, 0, 9, 0, 0, 0, 6, 0, 1, 0, 0, 0, 0, 2, 5, 1, 0, 3, 6, 0, 6, 4, 0, 0, 0, 0, 0, 0, 9, 1, 0, 7, 6, 9, 0, 0, 0, 2],[3, 5, 9, 7, 8, 6, 4, 2, 1, 2, 7, 6, 1, 4, 5, 9, 3, 8, 4, 8, 1, 2, 3, 9, 7, 5, 6, 7, 6, 8, 4, 5, 1, 2, 9, 3, 5, 1, 3, 9, 7, 2, 6, 8, 4, 9, 2, 4, 8, 6, 3, 1, 7, 5, 8, 9, 2, 5, 1, 4, 3, 6, 7, 6, 4, 5, 3, 2, 7, 8, 1, 9, 1, 3, 7, 6, 9, 8, 5, 4, 2],
hard,[0, 0, 8, 0, 9, 7, 0, 0, 0, 0, 5, 0, 0, 1, 2, 8, 0, 0, 4, 0, 0, 0, 6, 8, 3, 1, 0, 9, 0, 0, 6, 0, 0, 0, 3, 0, 0, 6, 3, 7, 0, 1, 2, 8, 0, 0, 7, 0, 0, 0, 9, 0, 0, 1, 0, 3, 5, 9, 2, 0, 0, 0, 8, 0, 0, 2, 8, 7, 0, 0, 6, 0, 0, 0, 0, 1, 5, 0, 4, 0, 0],[2, 1, 8, 3, 9, 7, 5, 4, 6, 3, 5, 6, 4, 1, 2, 8, 9, 7, 4, 9, 7, 5, 6, 8, 3, 1, 2, 9, 2, 1, 6, 8, 5, 7, 3, 4, 5, 6, 3, 7, 4, 1, 2, 8, 9, 8, 7, 4, 2, 3, 9, 6, 5, 1, 6, 3, 5, 9, 2, 4, 1, 7, 8, 1, 4, 2, 8, 7, 3, 9, 6, 5, 7, 8, 9, 1, 5, 6, 4, 2, 3],
medium,[2, 4, 0, 0, 9, 0, 5, 0, 8, 6, 0, 0, 0, 0, 3, 0, 0, 4, 9, 0, 5, 0, 0, 0, 7, 0, 0, 0, 0, 0, 6, 0, 9, 0, 0, 5, 0, 0, 6, 2, 7, 5, 4, 0, 0, 1, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 7, 7, 0, 0, 5, 0, 0, 0, 0, 9, 5, 0, 9, 0, 2, 0, 0, 4, 3],[2, 4, 3, 7, 9, 6, 5, 1, 8, 6, 7, 8, 1, 5, 3, 9, 2, 4, 9, 1, 5, 4, 8, 2, 7, 3, 6, 4, 8, 2, 6, 1, 9, 3, 7, 5, 3, 9, 6, 2, 7, 5, 4, 8, 1, 1, 5, 7, 3, 4, 8, 6, 9, 2, 8, 3, 1, 9, 6, 4, 2, 5, 7, 7, 2, 4, 5, 3, 1, 8, 6, 9, 5, 6, 9, 8, 2, 7, 1, 4, 3],
medium,[0, 0, 9, 4, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 7, 0, 3, 0, 3, 0, 6, 2, 0, 0, 8, 9, 0, 8, 6, 5, 0, 2, 9, 0, 0, 0, 0, 0, 3, 0, 7, 0, 1, 0, 0, 0, 0, 0, 3, 4, 0, 2, 6, 8, 0, 1, 2, 0, 0, 4, 7, 0, 3, 0, 8, 0, 6, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 8, 9, 0, 0],[2, 5, 9, 4, 8, 3, 6, 7, 1, 1, 4, 8, 9, 6, 7, 5, 3, 2, 3, 7, 6, 2, 5, 1, 8, 9, 4, 8, 6, 5, 1, 2, 9, 3, 4, 7, 4, 2, 3, 8, 7, 6, 1, 5, 9, 7, 9, 1, 3, 4, 5, 2, 6, 8, 6, 1, 2, 5, 9, 4, 7, 8, 3, 9, 8, 7, 6, 3, 2, 4, 1, 5, 5, 3, 4, 7, 1, 8, 9, 2, 6],
hard,[6, 8, 0, 1, 7, 0, 4, 0, 0, 0, 0, 0, 0, 6, 2, 7, 0, 3, 2, 5, 0, 3, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 9, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 9, 4, 0, 0, 0, 5, 0, 6, 0, 0, 0, 0, 0, 1, 0, 9, 5, 9, 0, 6, 5, 2, 0, 0, 0, 0, 0, 0, 5, 0, 4, 6, 0, 1, 2],[6, 8, 3, 1, 7, 5, 4, 2, 9, 1, 4, 9, 8, 6, 2, 7, 5, 3, 2, 5, 7, 3, 9, 4, 1, 6, 8, 8, 6, 2, 4, 5, 7, 9, 3, 1, 5, 3, 1, 6, 8, 9, 2, 4, 7, 7, 9, 4, 2, 1, 3, 5, 8, 6, 4, 2, 8, 7, 3, 1, 6, 9, 5, 9, 1, 6, 5, 2, 8, 3, 7, 4, 3, 7, 5, 9, 4, 6, 8, 1, 2],
medium,[0, 0, 6, 0, 0, 0, 0, 0, 9, 8, 0, 1, 5, 9, 0, 0, 0, 0, 0, 3, 0, 6, 4, 0, 2, 0, 0, 0, 6, 0, 0, 5, 1, 0, 9, 4, 4, 0, 5, 0, 7, 0, 8, 0, 3, 9, 7, 0, 4, 3, 0, 0, 5, 0, 0, 0, 4, 0, 6, 5, 0, 2, 0, 0, 0, 0, 0, 1, 9, 4, 0, 8, 2, 0, 0, 0, 0, 0, 6, 0, 0],[7, 4, 6, 1, 2, 3, 5, 8, 9, 8, 2, 1, 5, 9, 7, 3, 4, 6, 5, 3, 9, 6, 4, 8, 2, 7, 1, 3, 6, 2, 8, 5, 1, 7, 9, 4, 4, 1, 5, 9, 7, 2, 8, 6, 3, 9, 7, 8, 4, 3, 6, 1, 5, 2, 1, 8, 4, 3, 6, 5, 9, 2, 7, 6, 5, 7, 2, 1, 9, 4, 3, 8, 2, 9, 3, 7, 8, 4, 6, 1, 5],
easy,[0, 0, 0, 0, 3, 2, 7, 0, 4, 0, 0, 0, 0, 0, 0, 0, 5, 3, 9, 0, 5, 0, 7, 0, 0, 0, 0, 8, 0, 0, 0, 4, 5, 9, 1, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 5, 7, 2, 3, 1, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 5, 0, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 2, 9, 0, 0, 0, 0],[6, 1, 8, 5, 3, 2, 7, 9, 4, 7, 2, 4, 9, 8, 1, 6, 5, 3, 9, 3, 5, 6, 7, 4, 2, 8, 1, 8, 6, 3, 7, 4, 5, 9, 1, 2, 4, 9, 1, 8, 2, 6, 3, 7, 5, 5, 7, 2, 3, 1, 9, 4, 6, 8, 3, 4, 7, 1, 6, 8, 5, 2, 9, 2, 8, 9, 4, 5, 7, 1, 3, 6, 1, 5, 6, 2, 9, 3, 8, 4, 7],
easy,[0, 0, 0, 2, 9, 7, 4, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 7, 4, 0, 0, 0, 0, 6, 9, 0, 3, 0, 1, 0, 4, 2, 0, 0, 9, 0, 7, 0, 3, 0, 0, 0, 5, 0, 1, 0, 9, 0, 0, 7, 5, 0, 3, 0, 6, 0, 7, 9, 0, 0, 0, 0, 8, 3, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 4, 7, 3, 2, 0, 0, 0],[8, 3, 1, 2, 9, 7, 4, 6, 5, 9, 6, 5, 3, 4, 8, 2, 1, 7, 4, 7, 2, 5, 1, 6, 9, 8, 3, 5, 1, 8, 4, 2, 3, 7, 9, 6, 7, 4, 3, 6, 8, 9, 5, 2, 1, 2, 9, 6, 1, 7, 5, 8, 3, 4, 6, 2, 7, 9, 5, 1, 3, 4, 8, 3, 5, 9, 8, 6, 4, 1, 7, 2, 1, 8, 4, 7, 3, 2, 6, 5, 9],
medium,[7, 2, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 4, 0, 6, 7, 0, 0, 0, 6, 0, 7, 1, 3, 0, 0, 0, 4, 0, 0, 6, 0, 9, 3, 5, 5, 0, 0, 0, 2, 0, 0, 0, 7, 3, 7, 9, 0, 1, 0, 0, 8, 0, 0, 0, 3, 2, 5, 0, 8, 0, 0, 0, 9, 7, 0, 3, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 6, 3],[7, 2, 4, 6, 8, 3, 5, 9, 1, 9, 3, 1, 5, 4, 2, 6, 7, 8, 8, 5, 6, 9, 7, 1, 3, 2, 4, 1, 4, 2, 7, 6, 8, 9, 3, 5, 5, 6, 8, 3, 2, 9, 4, 1, 7, 3, 7, 9, 4, 1, 5, 2, 8, 6, 6, 1, 3, 2, 5, 7, 8, 4, 9, 4, 9, 7, 8, 3, 6, 1, 5, 2, 2, 8, 5, 1, 9, 4, 7, 6, 3],
easy,[9, 0, 0, 0, 0, 8, 0, 5, 0, 0, 0, 0, 4, 9, 0, 0, 1, 3, 1, 8, 0, 5, 2, 0, 6, 4, 0, 8, 0, 7, 0, 0, 0, 9, 3, 0, 0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 9, 6, 0, 0, 0, 1, 0, 5, 0, 4, 8, 0, 3, 5, 0, 6, 1, 2, 5, 0, 0, 8, 1, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 8],[9, 6, 4, 3, 1, 8, 7, 5, 2, 5, 7, 2, 4, 9, 6, 8, 1, 3, 1, 8, 3, 5, 2, 7, 6, 4, 9, 8, 1, 7, 2, 5, 4, 9, 3, 6, 3, 2, 5, 1, 6, 9, 4, 8, 7, 4, 9, 6, 8, 7, 3, 1, 2, 5, 7, 4, 8, 9, 3, 5, 2, 6, 1, 2, 5, 9, 6, 8, 1, 3, 7, 4, 6, 3, 1, 7, 4, 2, 5, 9, 8],
easy,[0, 7, 8, 1, 0, 0, 0, 6, 4, 1, 0, 0, 4, 2, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 9, 0, 0, 3, 0, 2, 9, 0, 4, 8, 6, 4, 0, 0, 0, 0, 0, 0, 0, 9, 8, 6, 9, 0, 4, 3, 0, 1, 0, 0, 8, 0, 0, 0, 0, 9, 0, 5, 0, 0, 0, 0, 5, 7, 0, 0, 8, 3, 2, 0, 0, 0, 4, 6, 7, 0],[5, 7, 8, 1, 3, 9, 2, 6, 4, 1, 9, 3, 4, 2, 6, 8, 5, 7, 2, 4, 6, 5, 7, 8, 1, 9, 3, 7, 3, 1, 2, 9, 5, 4, 8, 6, 4, 5, 2, 8, 6, 1, 7, 3, 9, 8, 6, 9, 7, 4, 3, 5, 1, 2, 6, 8, 7, 3, 1, 2, 9, 4, 5, 9, 1, 4, 6, 5, 7, 3, 2, 8, 3, 2, 5, 9, 8, 4, 6, 7, 1],
hard,[0, 0, 0, 0, 8, 0, 0, 4, 1, 0, 3, 0, 0, 1, 0, 7, 6, 9, 2, 6, 0, 0, 0, 9, 0, 3, 0, 9, 0, 0, 0, 0, 7, 0, 8, 0, 0, 7, 3, 0, 9, 0, 1, 2, 0, 0, 8, 0, 2, 0, 0, 0, 0, 3, 0, 5, 0, 4, 0, 0, 0, 1, 2, 8, 2, 4, 0, 6, 0, 0, 5, 0, 3, 1, 0, 0, 2, 0, 0, 0, 0],[7, 9, 5, 3, 8, 6, 2, 4, 1, 4, 3, 8, 5, 1, 2, 7, 6, 9, 2, 6, 1, 7, 4, 9, 5, 3, 8, 9, 4, 2, 1, 3, 7, 6, 8, 5, 5, 7, 3, 6, 9, 8, 1, 2, 4, 1, 8, 6, 2, 5, 4, 9, 7, 3, 6, 5, 9, 4, 7, 3, 8, 1, 2, 8, 2, 4, 9, 6, 1, 3, 5, 7, 3, 1, 7, 8, 2, 5, 4, 9, 6],
hard,[0, 0, 0, 0, 0, 0, 0, 3, 1, 3, 0, 7, 5, 0, 0, 4, 9, 0, 0, 0, 0, 3, 0, 7, 8, 0, 0, 0, 2, 1, 0, 0, 0, 0, 8, 4, 5, 3, 0, 6, 2, 8, 0, 1, 7, 6, 9, 0, 0, 0, 0, 3, 2, 0, 0, 0, 5, 1, 0, 6, 0, 0, 0, 0, 1, 6, 0, 0, 4, 5, 0, 9, 2, 4, 0, 0, 0, 0, 0, 0, 0],[4, 5, 2, 8, 6, 9, 7, 3, 1, 3, 8, 7, 5, 1, 2, 4, 9, 6, 1, 6, 9, 3, 4, 7, 8, 5, 2, 7, 2, 1, 9, 5, 3, 6, 8, 4, 5, 3, 4, 6, 2, 8, 9, 1, 7, 6, 9, 8, 4, 7, 1, 3, 2, 5, 9, 7, 5, 1, 8, 6, 2, 4, 3, 8, 1, 6, 2, 3, 4, 5, 7, 9, 2, 4, 3, 7, 9, 5, 1, 6, 8],
hard,[0, 4, 9, 0, 1, 0, 8, 0, 3, 0, 1, 8, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 9, 5, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 4, 6, 5, 3, 0, 0, 0, 7, 9, 1, 1, 0, 0, 9, 0, 0, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 4, 6, 0, 4, 0, 5, 0, 6, 0, 3, 8, 0],[7, 4, 9, 5, 1, 6, 8, 2, 3, 5, 1, 8, 3, 2, 7, 9, 4, 6, 3, 6, 2, 8, 4, 9, 5, 1, 7, 8, 9, 7, 6, 3, 1, 2, 5, 4, 6, 5, 3, 2, 8, 4, 7, 9, 1, 1, 2, 4, 9, 7, 5, 6, 3, 8, 9, 3, 6, 4, 5, 8, 1, 7, 2, 2, 8, 1, 7, 9, 3, 4, 6, 5, 4, 7, 5, 1, 6, 2, 3, 8, 9],
hard,[5, 0, 3, 0, 2, 1, 0, 0, 8, 0, 0, 0, 0, 8, 0, 3, 4, 0, 7, 0, 8, 0, 6, 4, 0, 0, 1, 0, 0, 5, 0, 1, 8, 0, 0, 0, 8, 0, 2, 0, 0, 0, 1, 0, 6, 0, 0, 0, 2, 5, 0, 9, 0, 0, 4, 0, 0, 6, 3, 0, 2, 0, 5, 0, 5, 6, 0, 7, 0, 0, 0, 0, 2, 0, 0, 8, 4, 0, 7, 0, 9],[5, 4, 3, 9, 2, 1, 6, 7, 8, 1, 6, 9, 5, 8, 7, 3, 4, 2, 7, 2, 8, 3, 6, 4, 5, 9, 1, 6, 9, 5, 7, 1, 8, 4, 2, 3, 8, 7, 2, 4, 9, 3, 1, 5, 6, 3, 1, 4, 2, 5, 6, 9, 8, 7, 4, 8, 7, 6, 3, 9, 2, 1, 5, 9, 5, 6, 1, 7, 2, 8, 3, 4, 2, 3, 1, 8, 4, 5, 7, 6, 9],
hard,[0, 0, 0, 0, 7, 8, 0, 0, 9, 0, 2, 4, 1, 0, 0, 0, 8, 0, 6, 7, 0, 0, 0, 9, 0, 0, 0, 0, 0, 1, 3, 0, 0, 6, 0, 4, 3, 9, 6, 0, 0, 0, 1, 7, 2, 7, 0, 2, 0, 0, 1, 3, 0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 5, 0, 8, 0, 0, 0, 5, 9, 6, 0, 4, 0, 0, 8, 9, 0, 0, 0, 0],[5, 1, 3, 6, 7, 8, 4, 2, 9, 9, 2, 4, 1, 5, 3, 7, 8, 6, 6, 7, 8, 2, 4, 9, 5, 3, 1, 8, 5, 1, 3, 2, 7, 6, 9, 4, 3, 9, 6, 5, 8, 4, 1, 7, 2, 7, 4, 2, 9, 6, 1, 3, 5, 8, 1, 6, 9, 7, 3, 2, 8, 4, 5, 2, 8, 7, 4, 1, 5, 9, 6, 3, 4, 3, 5, 8, 9, 6, 2, 1, 7],
medium,[1, 3, 0, 0, 0, 8, 4, 2, 0, 0, 0, 0, 0, 3, 9, 6, 0, 1, 5, 6, 0, 0, 1, 0, 8, 0, 0, 0, 1, 0, 0, 0, 6, 7, 0, 8, 0, 2, 0, 0, 0, 0, 0, 1, 0, 3, 0, 7, 4, 0, 0, 0, 6, 0, 0, 0, 1, 0, 7, 0, 0, 9, 4, 2, 0, 3, 8, 4, 0, 0, 0, 0, 0, 7, 4, 1, 0, 0, 0, 8, 3],[1, 3, 9, 5, 6, 8, 4, 2, 7, 7, 4, 8, 2, 3, 9, 6, 5, 1, 5, 6, 2, 7, 1, 4, 8, 3, 9, 9, 1, 5, 3, 2, 6, 7, 4, 8, 4, 2, 6, 9, 8, 7, 3, 1, 5, 3, 8, 7, 4, 5, 1, 9, 6, 2, 8, 5, 1, 6, 7, 3, 2, 9, 4, 2, 9, 3, 8, 4, 5, 1, 7, 6, 6, 7, 4, 1, 9, 2, 5, 8, 3],
easy,[6, 0, 5, 0, 0, 0, 0, 9, 0, 7, 0, 0, 8, 6, 0, 0, 0, 0, 0, 2, 1, 7, 0, 0, 0, 5, 8, 0, 3, 0, 6, 9, 0, 8, 1, 5, 8, 0, 0, 0, 0, 0, 0, 0, 9, 1, 5, 9, 0, 8, 3, 0, 7, 0, 3, 6, 0, 0, 0, 8, 5, 2, 0, 0, 0, 0, 0, 4, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 9, 0, 4],[6, 8, 5, 4, 2, 1, 7, 9, 3, 7, 9, 3, 8, 6, 5, 1, 4, 2, 4, 2, 1, 7, 3, 9, 6, 5, 8, 2, 3, 7, 6, 9, 4, 8, 1, 5, 8, 4, 6, 1, 5, 7, 2, 3, 9, 1, 5, 9, 2, 8, 3, 4, 7, 6, 3, 6, 4, 9, 1, 8, 5, 2, 7, 9, 7, 8, 5, 4, 2, 3, 6, 1, 5, 1, 2, 3, 7, 6, 9, 8, 4],
hard,[0, 0, 0, 0, 1, 9, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 5, 0, 4, 1, 7, 0, 5, 0, 8, 0, 0, 6, 0, 0, 0, 7, 0, 2, 9, 0, 9, 7, 5, 8, 2, 6, 3, 0, 5, 2, 0, 9, 0, 0, 0, 7, 0, 0, 5, 0, 4, 0, 3, 8, 6, 0, 3, 0, 0, 0, 0, 6, 0, 0, 7, 0, 0, 0, 2, 9, 0, 0, 0, 0],[8, 3, 5, 6, 1, 9, 7, 4, 2, 6, 7, 2, 3, 4, 8, 9, 1, 5, 9, 4, 1, 7, 2, 5, 3, 8, 6, 4, 6, 8, 1, 3, 7, 5, 2, 9, 1, 9, 7, 5, 8, 2, 6, 3, 4, 5, 2, 3, 9, 6, 4, 1, 7, 8, 2, 5, 9, 4, 7, 3, 8, 6, 1, 3, 1, 4, 8, 5, 6, 2, 9, 7, 7, 8, 6, 2, 9, 1, 4, 5, 3],
easy,[0, 0, 0, 7, 9, 2, 0, 0, 8, 0, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 4, 3, 5, 2, 0, 0, 0, 5, 6, 8, 7, 1, 3, 0, 0, 0, 3, 0, 0, 0, 7, 0, 0, 0, 6, 1, 3, 5, 4, 8, 0, 0, 0, 3, 6, 5, 7, 9, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 4, 3, 6, 0, 0, 0],[3, 5, 4, 7, 9, 2, 6, 1, 8, 2, 9, 8, 1, 6, 5, 4, 7, 3, 6, 1, 7, 8, 4, 3, 5, 2, 9, 9, 2, 5, 6, 8, 7, 1, 3, 4, 4, 8, 3, 9, 2, 1, 7, 5, 6, 7, 6, 1, 3, 5, 4, 8, 9, 2, 8, 3, 6, 5, 7, 9, 2, 4, 1, 5, 4, 9, 2, 1, 8, 3, 6, 7, 1, 7, 2, 4, 3, 6, 9, 8, 5],
hard,[5, 0, 0, 0, 0, 4, 8, 0, 0, 0, 6, 3, 2, 7, 1, 0, 0, 0, 0, 1, 0, 0, 0, 8, 7, 0, 0, 0, 5, 0, 0, 0, 0, 2, 1, 4, 9, 2, 0, 1, 0, 7, 0, 5, 8, 3, 8, 1, 0, 0, 0, 0, 9, 0, 0, 0, 5, 7, 0, 0, 0, 8, 0, 0, 0, 0, 9, 1, 2, 4, 6, 0, 0, 0, 6, 5, 0, 0, 0, 0, 2],[5, 7, 2, 6, 9, 4, 8, 3, 1, 8, 6, 3, 2, 7, 1, 5, 4, 9, 4, 1, 9, 3, 5, 8, 7, 2, 6, 6, 5, 7, 8, 3, 9, 2, 1, 4, 9, 2, 4, 1, 6, 7, 3, 5, 8, 3, 8, 1, 4, 2, 5, 6, 9, 7, 2, 9, 5, 7, 4, 6, 1, 8, 3, 7, 3, 8, 9, 1, 2, 4, 6, 5, 1, 4, 6, 5, 8, 3, 9, 7, 2],
hard,[0, 0, 0, 0, 1, 7, 3, 0, 6, 0, 8, 3, 0, 2, 0, 0, 5, 0, 0, 0, 6, 0, 5, 3, 9, 4, 0, 0, 0, 0, 0, 0, 1, 2, 9, 0, 9, 6, 0, 0, 0, 0, 0, 3, 8, 0, 2, 1, 5, 0, 0, 0, 0, 0, 0, 5, 9, 7, 4, 0, 8, 0, 0, 0, 4, 0, 0, 3, 0, 5, 7, 0, 2, 0, 7, 9, 8, 0, 0, 0, 0],[5, 9, 2, 4, 1, 7, 3, 8, 6, 4, 8, 3, 6, 2, 9, 7, 5, 1, 7, 1, 6, 8, 5, 3, 9, 4, 2, 8, 7, 4, 3, 6, 1, 2, 9, 5, 9, 6, 5, 2, 7, 4, 1, 3, 8, 3, 2, 1, 5, 9, 8, 4, 6, 7, 1, 5, 9, 7, 4, 6, 8, 2, 3, 6, 4, 8, 1, 3, 2, 5, 7, 9, 2, 3, 7, 9, 8, 5, 6, 1, 4],
hard,[0, 0, 0, 4, 0, 9, 0, 0, 0, 0, 3, 0, 8, 7, 0, 0, 4, 6, 0, 2, 4, 0, 0, 0, 0, 7, 9, 0, 0, 0, 5, 3, 0, 7, 0, 0, 6, 8, 0, 0, 0, 0, 0, 5, 2, 0, 0, 7, 0, 8, 1, 0, 0, 0, 2, 4, 0, 0, 0, 0, 6, 8, 0, 1, 7, 0, 0, 4, 8, 0, 3, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0],[7, 1, 6, 4, 5, 9, 8, 2, 3, 9, 3, 5, 8, 7, 2, 1, 4, 6, 8, 2, 4, 1, 6, 3, 5, 7, 9, 4, 9, 2, 5, 3, 6, 7, 1, 8, 6, 8, 1, 7, 9, 4, 3, 5, 2, 3, 5, 7, 2, 8, 1, 9, 6, 4, 2, 4, 3, 9, 1, 5, 6, 8, 7, 1, 7, 9, 6, 4, 8, 2, 3, 5, 5, 6, 8, 3, 2, 7, 4, 9, 1],
easy,[0, 4, 8, 0, 0, 0, 0, 7, 0, 7, 0, 1, 0, 8, 4, 0, 3, 6, 6, 0, 9, 0, 2, 0, 4, 8, 0, 3, 0, 0, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 4, 0, 0, 0, 2, 0, 6, 2, 0, 7, 0, 3, 0, 1, 4, 9, 0, 1, 3, 0, 6, 0, 8, 0, 1, 0, 0, 0, 0, 5, 9, 0],[2, 4, 8, 3, 5, 6, 1, 7, 9, 7, 5, 1, 9, 8, 4, 2, 3, 6, 6, 3, 9, 7, 2, 1, 4, 8, 5, 3, 8, 5, 2, 1, 7, 9, 6, 4, 1, 2, 4, 6, 9, 8, 7, 5, 3, 9, 7, 6, 5, 4, 3, 8, 1, 2, 5, 6, 2, 8, 7, 9, 3, 4, 1, 4, 9, 7, 1, 3, 5, 6, 2, 8, 8, 1, 3, 4, 6, 2, 5, 9, 7],
medium,[6, 3, 8, 4, 9, 0, 0, 2, 5, 7, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 0, 6, 0, 3, 8, 7, 9, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 0, 5, 7, 4, 9, 0, 6, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 0, 7, 2, 6, 0, 0, 5, 1, 9, 8, 4],[6, 3, 8, 4, 9, 7, 1, 2, 5, 7, 9, 1, 8, 2, 5, 4, 6, 3, 4, 2, 5, 6, 1, 3, 8, 7, 9, 9, 1, 2, 5, 3, 8, 7, 4, 6, 3, 4, 6, 2, 7, 9, 5, 1, 8, 8, 5, 7, 1, 6, 4, 3, 9, 2, 5, 7, 4, 9, 8, 6, 2, 3, 1, 1, 8, 9, 3, 4, 2, 6, 5, 7, 2, 6, 3, 7, 5, 1, 9, 8, 4],
easy,[0, 5, 0, 9, 0, 1, 3, 0, 0, 0, 0, 7, 6, 0, 4, 8, 0, 0, 0, 1, 0, 0, 0, 2, 9, 4, 7, 0, 3, 0, 0, 9, 0, 7, 0, 0, 0, 0, 0, 4, 8, 6, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 9, 0, 7, 2, 6, 5, 0, 0, 0, 8, 0, 0, 0, 9, 7, 0, 8, 5, 0, 0, 0, 0, 5, 2, 0, 3, 0, 7, 0],[4, 5, 8, 9, 7, 1, 3, 2, 6, 2, 9, 7, 6, 3, 4, 8, 5, 1, 6, 1, 3, 8, 5, 2, 9, 4, 7, 8, 3, 2, 1, 9, 5, 7, 6, 4, 9, 7, 1, 4, 8, 6, 2, 3, 5, 5, 6, 4, 3, 2, 7, 1, 9, 8, 7, 2, 6, 5, 1, 9, 4, 8, 3, 3, 4, 9, 7, 6, 8, 5, 1, 2, 1, 8, 5, 2, 4, 3, 6, 7, 9],
easy,[4, 0, 2, 1, 5, 0, 0, 8, 0, 1, 0, 5, 6, 7, 9, 0, 0, 0, 0, 7, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 3, 0, 8, 0, 0, 6, 0, 6, 0, 0, 4, 0, 0, 3, 0, 2, 0, 0, 9, 0, 7, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 9, 4, 5, 0, 3, 0, 1, 0, 0, 3, 5, 7, 0, 8],[4, 9, 2, 1, 5, 3, 6, 8, 7, 1, 8, 5, 6, 7, 9, 3, 2, 4, 3, 7, 6, 4, 8, 2, 1, 9, 5, 5, 4, 1, 3, 2, 8, 9, 7, 6, 7, 6, 9, 5, 4, 1, 8, 3, 2, 2, 3, 8, 9, 6, 7, 4, 5, 1, 8, 5, 3, 7, 1, 6, 2, 4, 9, 6, 2, 7, 8, 9, 4, 5, 1, 3, 9, 1, 4, 2, 3, 5, 7, 6, 8],
medium,[1, 0, 3, 0, 0, 0, 0, 0, 4, 0, 0, 2, 9, 4, 8, 6, 1, 3, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, 1, 0, 6, 0, 0, 0, 9, 0, 7, 0, 9, 0, 2, 0, 1, 0, 6, 0, 8, 0, 0, 0, 4, 0, 2, 7, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 2, 1, 4, 6, 7, 9, 0, 0, 8, 0, 0, 0, 0, 0, 4, 0, 1],[1, 9, 3, 7, 5, 6, 2, 8, 4, 5, 7, 2, 9, 4, 8, 6, 1, 3, 4, 6, 8, 3, 1, 2, 5, 7, 9, 2, 1, 4, 6, 7, 3, 8, 9, 5, 7, 3, 9, 8, 2, 5, 1, 4, 6, 6, 8, 5, 1, 9, 4, 3, 2, 7, 9, 4, 6, 5, 8, 1, 7, 3, 2, 3, 2, 1, 4, 6, 7, 9, 5, 8, 8, 5, 7, 2, 3, 9, 4, 6, 1],
hard,[1, 0, 3, 8, 0, 0, 0, 0, 0, 0, 8, 7, 0, 0, 9, 1, 0, 0, 6, 0, 0, 7, 4, 0, 5, 0, 0, 0, 2, 5, 0, 6, 3, 0, 4, 0, 3, 0, 0, 2, 0, 7, 0, 0, 5, 0, 6, 0, 5, 1, 0, 3, 7, 0, 0, 0, 6, 0, 9, 5, 0, 0, 3, 0, 0, 9, 1, 0, 0, 4, 5, 0, 0, 0, 0, 0, 0, 2, 9, 0, 7],[1, 4, 3, 8, 5, 6, 7, 2, 9, 5, 8, 7, 3, 2, 9, 1, 6, 4, 6, 9, 2, 7, 4, 1, 5, 3, 8, 7, 2, 5, 9, 6, 3, 8, 4, 1, 3, 1, 4, 2, 8, 7, 6, 9, 5, 9, 6, 8, 5, 1, 4, 3, 7, 2, 8, 7, 6, 4, 9, 5, 2, 1, 3, 2, 3, 9, 1, 7, 8, 4, 5, 6, 4, 5, 1, 6, 3, 2, 9, 8, 7],
hard,[0, 0, 0, 7, 4, 9, 5, 0, 8, 4, 0, 0, 2, 0, 0, 7, 0, 0, 2, 0, 0, 6, 0, 0, 0, 3, 0, 9, 6, 7, 0, 0, 0, 3, 0, 0, 0, 2, 3, 4, 0, 7, 9, 1, 0, 0, 0, 1, 0, 0, 0, 2, 8, 7, 0, 9, 0, 0, 0, 3, 0, 0, 5, 0, 0, 2, 0, 0, 4, 0, 0, 3, 6, 0, 5, 9, 7, 1, 0, 0, 0],[3, 1, 6, 7, 4, 9, 5, 2, 8, 4, 5, 9, 2, 3, 8, 7, 6, 1, 2, 7, 8, 6, 1, 5, 4, 3, 9, 9, 6, 7, 1, 8, 2, 3, 5, 4, 8, 2, 3, 4, 5, 7, 9, 1, 6, 5, 4, 1, 3, 9, 6, 2, 8, 7, 1, 9, 4, 8, 2, 3, 6, 7, 5, 7, 8, 2, 5, 6, 4, 1, 9, 3, 6, 3, 5, 9, 7, 1, 8, 4, 2],
hard,[3, 0, 0, 0, 5, 2, 6, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 3, 0, 7, 0, 0, 0, 5, 2, 0, 8, 1, 4, 1, 8, 5, 0, 0, 0, 7, 3, 2, 7, 2, 4, 0, 1, 8, 0, 0, 0, 4, 0, 6, 0, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 6, 4, 0, 0, 0, 5],[3, 1, 8, 7, 5, 2, 6, 4, 9, 6, 7, 9, 8, 3, 4, 5, 2, 1, 5, 4, 2, 1, 6, 9, 3, 8, 7, 9, 6, 3, 5, 2, 7, 8, 1, 4, 1, 8, 5, 4, 9, 6, 7, 3, 2, 7, 2, 4, 3, 1, 8, 9, 5, 6, 4, 3, 6, 2, 7, 5, 1, 9, 8, 2, 5, 7, 9, 8, 1, 4, 6, 3, 8, 9, 1, 6, 4, 3, 2, 7, 5],
hard,[3, 0, 0, 0, 7, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0, 2, 3, 0, 8, 0, 0, 0, 0, 0, 6, 0, 1, 0, 8, 7, 0, 9, 3, 5, 0, 0, 2, 0, 3, 0, 5, 0, 7, 0, 0, 3, 5, 4, 0, 1, 6, 0, 2, 0, 1, 0, 0, 0, 0, 0, 8, 0, 9, 5, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 5, 0, 0, 0, 9],[3, 9, 6, 5, 7, 2, 8, 4, 1, 5, 7, 4, 8, 1, 6, 9, 2, 3, 2, 8, 1, 9, 3, 4, 5, 6, 7, 1, 6, 8, 7, 2, 9, 3, 5, 4, 4, 2, 9, 3, 6, 5, 1, 7, 8, 7, 3, 5, 4, 8, 1, 6, 9, 2, 6, 1, 3, 2, 9, 7, 4, 8, 5, 9, 5, 7, 1, 4, 8, 2, 3, 6, 8, 4, 2, 6, 5, 3, 7, 1, 9],
medium,[8, 6, 4, 0, 0, 9, 0, 0, 0, 3, 2, 0, 4, 8, 1, 7, 6, 0, 0, 9, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 7, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 0, 0, 8, 0, 0, 0, 0, 9, 0, 0, 8, 0, 0, 1, 3, 8, 5, 6, 0, 9, 7, 0, 0, 0, 2, 0, 0, 5, 1, 3],[8, 6, 4, 7, 2, 9, 1, 3, 5, 3, 2, 5, 4, 8, 1, 7, 6, 9, 7, 9, 1, 6, 3, 5, 8, 4, 2, 1, 4, 8, 3, 7, 2, 9, 5, 6, 9, 3, 7, 5, 6, 8, 4, 2, 1, 2, 5, 6, 9, 1, 4, 3, 7, 8, 5, 7, 2, 1, 9, 3, 6, 8, 4, 4, 1, 3, 8, 5, 6, 2, 9, 7, 6, 8, 9, 2, 4, 7, 5, 1, 3],
hard,[4, 0, 0, 3, 0, 0, 7, 0, 2, 3, 0, 0, 9, 0, 8, 0, 4, 6, 5, 0, 9, 0, 6, 0, 0, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 3, 0, 0, 4, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 8, 0, 1, 0, 9, 6, 3, 0, 4, 0, 9, 0, 0, 8, 8, 0, 2, 0, 0, 1, 0, 0, 5],[4, 6, 8, 3, 1, 5, 7, 9, 2, 3, 1, 7, 9, 2, 8, 5, 4, 6, 5, 2, 9, 7, 6, 4, 3, 8, 1, 1, 5, 6, 8, 4, 7, 9, 2, 3, 9, 8, 4, 1, 3, 2, 6, 5, 7, 2, 7, 3, 5, 9, 6, 8, 1, 4, 7, 4, 5, 2, 8, 3, 1, 6, 9, 6, 3, 1, 4, 5, 9, 2, 7, 8, 8, 9, 2, 6, 7, 1, 4, 3, 5],
easy,[0, 7, 0, 3, 6, 0, 0, 5, 8, 0, 0, 8, 7, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 1, 0, 0, 2, 5, 0, 0, 0, 8, 3, 6, 0, 0, 8, 2, 4, 0, 0, 7, 1, 8, 0, 0, 0, 3, 4, 0, 0, 2, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 8, 2, 3, 0, 0, 8, 9, 0, 0, 3, 5, 0, 6, 0],[4, 7, 1, 3, 6, 9, 2, 5, 8, 3, 2, 8, 7, 5, 1, 6, 9, 4, 9, 5, 6, 2, 4, 8, 7, 3, 1, 7, 4, 2, 5, 1, 6, 9, 8, 3, 6, 3, 9, 8, 2, 4, 5, 1, 7, 1, 8, 5, 9, 7, 3, 4, 2, 6, 2, 6, 3, 1, 9, 7, 8, 4, 5, 5, 1, 4, 6, 8, 2, 3, 7, 9, 8, 9, 7, 4, 3, 5, 1, 6, 2],
hard,[0, 0, 0, 1, 0, 0, 0, 2, 9, 0, 9, 0, 7, 0, 0, 5, 4, 0, 7, 0, 0, 5, 9, 8, 0, 3, 0, 5, 0, 0, 0, 0, 1, 0, 9, 0, 0, 1, 4, 0, 0, 0, 2, 6, 0, 0, 7, 0, 6, 0, 0, 0, 0, 1, 0, 2, 0, 8, 7, 4, 0, 0, 3, 0, 3, 7, 0, 0, 9, 0, 5, 0, 4, 6, 0, 0, 0, 5, 0, 0, 0],[8, 5, 3, 1, 4, 6, 7, 2, 9, 6, 9, 1, 7, 3, 2, 5, 4, 8, 7, 4, 2, 5, 9, 8, 1, 3, 6, 5, 8, 6, 4, 2, 1, 3, 9, 7, 3, 1, 4, 9, 8, 7, 2, 6, 5, 2, 7, 9, 6, 5, 3, 4, 8, 1, 9, 2, 5, 8, 7, 4, 6, 1, 3, 1, 3, 7, 2, 6, 9, 8, 5, 4, 4, 6, 8, 3, 1, 5, 9, 7, 2],
medium,[0, 0, 0, 8, 0, 3, 0, 5, 0, 9, 0, 0, 4, 0, 0, 7, 3, 2, 0, 0, 7, 0, 0, 9, 6, 0, 0, 5, 0, 3, 1, 4, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 0, 9, 7, 2, 0, 3, 0, 0, 5, 6, 0, 0, 4, 0, 0, 2, 9, 4, 0, 0, 5, 0, 0, 1, 0, 3, 0, 9, 0, 4, 0, 0, 0],[1, 6, 2, 8, 7, 3, 9, 5, 4, 9, 5, 8, 4, 1, 6, 7, 3, 2, 3, 4, 7, 2, 5, 9, 6, 1, 8, 5, 7, 3, 1, 4, 2, 8, 9, 6, 4, 2, 9, 3, 6, 8, 1, 7, 5, 8, 1, 6, 5, 9, 7, 2, 4, 3, 7, 8, 5, 6, 3, 1, 4, 2, 9, 2, 9, 4, 7, 8, 5, 3, 6, 1, 6, 3, 1, 9, 2, 4, 5, 8, 7],
hard,[6, 0, 2, 0, 0, 0, 0, 1, 8, 3, 7, 9, 0, 0, 4, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 4, 0, 5, 6, 0, 0, 2, 0, 8, 0, 0, 9, 0, 0, 8, 0, 1, 0, 0, 2, 0, 0, 8, 0, 5, 0, 0, 3, 7, 0, 8, 0, 5, 0, 0, 0, 0, 6, 0, 0, 6, 4, 0, 0, 3, 8, 9, 7, 9, 0, 0, 0, 0, 5, 0, 4],[6, 4, 2, 9, 3, 5, 7, 1, 8, 3, 7, 9, 1, 8, 4, 2, 6, 5, 8, 1, 5, 2, 7, 6, 9, 4, 3, 5, 6, 4, 7, 2, 3, 8, 9, 1, 9, 3, 7, 8, 4, 1, 6, 5, 2, 1, 2, 8, 6, 5, 9, 4, 3, 7, 4, 8, 3, 5, 9, 2, 1, 7, 6, 2, 5, 6, 4, 1, 7, 3, 8, 9, 7, 9, 1, 3, 6, 8, 5, 2, 4],
hard,[7, 0, 0, 0, 8, 6, 0, 0, 2, 0, 4, 0, 5, 0, 3, 0, 7, 8, 0, 8, 1, 7, 0, 0, 5, 9, 0, 0, 0, 0, 0, 0, 0, 9, 8, 4, 0, 0, 6, 0, 0, 0, 3, 0, 0, 5, 2, 4, 0, 0, 0, 0, 0, 0, 0, 6, 9, 0, 0, 8, 4, 3, 0, 4, 3, 0, 2, 0, 7, 0, 6, 0, 1, 0, 0, 3, 6, 0, 0, 0, 9],[7, 5, 3, 9, 8, 6, 1, 4, 2, 9, 4, 2, 5, 1, 3, 6, 7, 8, 6, 8, 1, 7, 4, 2, 5, 9, 3, 3, 1, 7, 6, 2, 5, 9, 8, 4, 8, 9, 6, 4, 7, 1, 3, 2, 5, 5, 2, 4, 8, 3, 9, 7, 1, 6, 2, 6, 9, 1, 5, 8, 4, 3, 7, 4, 3, 5, 2, 9, 7, 8, 6, 1, 1, 7, 8, 3, 6, 4, 2, 5, 9],
easy,[0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 7, 7, 0, 0, 1, 2, 3, 8, 5, 0, 0, 0, 3, 0, 1, 0, 9, 0, 8, 6, 1, 0, 2, 0, 9, 0, 7, 5, 5, 0, 9, 0, 8, 0, 2, 0, 0, 0, 8, 4, 5, 6, 7, 0, 0, 2, 3, 0, 0, 0, 9, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0],[8, 9, 5, 4, 7, 6, 1, 2, 3, 2, 3, 1, 9, 5, 8, 6, 4, 7, 7, 4, 6, 1, 2, 3, 8, 5, 9, 4, 2, 3, 7, 1, 5, 9, 6, 8, 6, 1, 8, 2, 3, 9, 4, 7, 5, 5, 7, 9, 6, 8, 4, 2, 3, 1, 1, 8, 4, 5, 6, 7, 3, 9, 2, 3, 6, 7, 8, 9, 2, 5, 1, 4, 9, 5, 2, 3, 4, 1, 7, 8, 6],
medium,[6, 7, 8, 2, 0, 0, 3, 0, 0, 9, 0, 0, 0, 0, 0, 1, 8, 7, 0, 3, 0, 0, 0, 5, 0, 2, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 3, 7, 8, 0, 1, 9, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 1, 0, 9, 0, 0, 0, 6, 0, 5, 6, 4, 0, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 6, 2, 5, 1],[6, 7, 8, 2, 9, 1, 3, 4, 5, 9, 2, 5, 6, 3, 4, 1, 8, 7, 4, 3, 1, 7, 8, 5, 9, 2, 6, 1, 8, 3, 4, 6, 9, 5, 7, 2, 2, 5, 6, 3, 7, 8, 4, 1, 9, 7, 4, 9, 5, 1, 2, 6, 3, 8, 8, 1, 2, 9, 5, 3, 7, 6, 4, 5, 6, 4, 1, 2, 7, 8, 9, 3, 3, 9, 7, 8, 4, 6, 2, 5, 1],
medium,[0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 9, 0, 0, 4, 0, 6, 5, 8, 4, 0, 0, 8, 3, 5, 0, 7, 0, 0, 0, 1, 0, 9, 0, 0, 2, 5, 3, 5, 0, 0, 0, 0, 0, 9, 7, 9, 7, 0, 0, 8, 0, 1, 0, 0, 0, 8, 0, 9, 7, 3, 0, 0, 2, 2, 3, 9, 0, 5, 0, 0, 1, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0],[8, 1, 5, 7, 6, 9, 2, 4, 3, 7, 9, 3, 2, 4, 1, 6, 5, 8, 4, 2, 6, 8, 3, 5, 9, 7, 1, 6, 4, 1, 3, 9, 7, 8, 2, 5, 3, 5, 8, 1, 2, 6, 4, 9, 7, 9, 7, 2, 5, 8, 4, 1, 3, 6, 1, 8, 4, 9, 7, 3, 5, 6, 2, 2, 3, 9, 6, 5, 8, 7, 1, 4, 5, 6, 7, 4, 1, 2, 3, 8, 9],
medium,[0, 0, 0, 2, 1, 5, 9, 0, 0, 0, 0, 9, 0, 0, 8, 0, 0, 3, 0, 5, 8, 3, 7, 0, 4, 0, 0, 9, 0, 6, 1, 0, 0, 0, 0, 0, 4, 8, 7, 0, 0, 0, 1, 9, 5, 0, 0, 0, 0, 0, 4, 2, 0, 6, 0, 0, 1, 0, 9, 3, 6, 2, 0, 7, 0, 0, 5, 0, 0, 3, 0, 0, 0, 0, 3, 7, 2, 1, 0, 0, 0],[3, 7, 4, 2, 1, 5, 9, 6, 8, 2, 1, 9, 4, 6, 8, 7, 5, 3, 6, 5, 8, 3, 7, 9, 4, 1, 2, 9, 2, 6, 1, 5, 7, 8, 3, 4, 4, 8, 7, 6, 3, 2, 1, 9, 5, 1, 3, 5, 9, 8, 4, 2, 7, 6, 5, 4, 1, 8, 9, 3, 6, 2, 7, 7, 9, 2, 5, 4, 6, 3, 8, 1, 8, 6, 3, 7, 2, 1, 5, 4, 9],
hard,[6, 5, 0, 1, 0, 4, 3, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 4, 3, 6, 0, 8, 2, 0, 1, 3, 2, 0, 9, 0, 0, 8, 6, 0, 0, 9, 0, 0, 0, 2, 0, 0, 4, 8, 0, 0, 3, 0, 1, 7, 9, 0, 9, 6, 0, 1, 2, 7, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 7, 0, 9, 0, 1, 5],[6, 5, 8, 1, 2, 4, 3, 9, 7, 3, 2, 1, 9, 7, 8, 5, 6, 4, 9, 7, 4, 3, 6, 5, 8, 2, 1, 1, 3, 2, 5, 9, 7, 4, 8, 6, 7, 6, 9, 8, 4, 1, 2, 5, 3, 4, 8, 5, 2, 3, 6, 1, 7, 9, 5, 9, 6, 4, 1, 2, 7, 3, 8, 8, 1, 7, 6, 5, 3, 9, 4, 2, 2, 4, 3, 7, 8, 9, 6, 1, 5],
medium,[0, 0, 8, 3, 6, 0, 4, 0, 1, 0, 9, 4, 0, 0, 2, 7, 0, 0, 1, 0, 7, 9, 0, 0, 2, 0, 0, 0, 4, 0, 0, 8, 0, 3, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 2, 0, 5, 0, 0, 1, 0, 0, 0, 3, 0, 0, 4, 1, 0, 7, 0, 0, 9, 2, 0, 0, 8, 3, 0, 5, 0, 1, 0, 3, 8, 9, 0, 0],[2, 5, 8, 3, 6, 7, 4, 9, 1, 6, 9, 4, 8, 1, 2, 7, 5, 3, 1, 3, 7, 9, 4, 5, 2, 8, 6, 7, 4, 5, 1, 8, 6, 3, 2, 9, 3, 1, 6, 4, 2, 9, 5, 7, 8, 9, 8, 2, 7, 5, 3, 6, 1, 4, 8, 2, 3, 5, 9, 4, 1, 6, 7, 4, 6, 9, 2, 7, 1, 8, 3, 5, 5, 7, 1, 6, 3, 8, 9, 4, 2],
medium,[0, 2, 9, 0, 5, 0, 0, 0, 6, 0, 0, 0, 9, 0, 6, 0, 8, 7, 6, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 5, 8, 0, 7, 0, 3, 2, 0, 0, 4, 0, 3, 0, 0, 5, 3, 0, 8, 0, 6, 7, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 5, 1, 4, 9, 0, 6, 0, 5, 0, 0, 0, 5, 0, 0, 0, 7, 0, 9, 4, 0],[7, 2, 9, 8, 5, 4, 1, 3, 6, 1, 3, 4, 9, 2, 6, 5, 8, 7, 6, 8, 5, 7, 3, 1, 2, 9, 4, 9, 4, 1, 5, 8, 2, 7, 6, 3, 2, 6, 7, 4, 9, 3, 8, 1, 5, 3, 5, 8, 1, 6, 7, 4, 2, 9, 8, 7, 3, 2, 4, 9, 6, 5, 1, 4, 9, 2, 6, 1, 5, 3, 7, 8, 5, 1, 6, 3, 7, 8, 9, 4, 2],
hard,[8, 0, 0, 0, 0, 0, 1, 3, 4, 0, 4, 0, 0, 0, 5, 8, 0, 7, 1, 0, 7, 0, 0, 8, 6, 0, 0, 0, 5, 4, 0, 7, 9, 0, 0, 0, 3, 0, 0, 5, 0, 2, 0, 0, 9, 0, 0, 0, 8, 1, 0, 5, 6, 0, 0, 0, 8, 9, 0, 0, 3, 0, 6, 5, 0, 3, 2, 0, 0, 0, 7, 0, 7, 1, 9, 0, 0, 0, 0, 0, 2],[8, 9, 5, 7, 2, 6, 1, 3, 4, 2, 4, 6, 1, 3, 5, 8, 9, 7, 1, 3, 7, 4, 9, 8, 6, 2, 5, 6, 5, 4, 3, 7, 9, 2, 8, 1, 3, 8, 1, 5, 6, 2, 7, 4, 9, 9, 7, 2, 8, 1, 4, 5, 6, 3, 4, 2, 8, 9, 5, 7, 3, 1, 6, 5, 6, 3, 2, 4, 1, 9, 7, 8, 7, 1, 9, 6, 8, 3, 4, 5, 2],
medium,[5, 0, 2, 0, 1, 0, 0, 7, 0, 0, 3, 0, 0, 2, 0, 9, 8, 5, 0, 6, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 4, 1, 0, 3, 0, 1, 0, 0, 0, 3, 0, 0, 0, 4, 0, 8, 0, 6, 9, 0, 0, 0, 0, 0, 0, 5, 0, 8, 0, 0, 2, 0, 4, 9, 7, 0, 6, 0, 0, 1, 0, 0, 2, 0, 0, 7, 0, 4, 0, 6],[5, 4, 2, 8, 1, 9, 6, 7, 3, 7, 3, 1, 4, 2, 6, 9, 8, 5, 9, 6, 8, 7, 5, 3, 2, 4, 1, 2, 7, 6, 5, 4, 1, 8, 3, 9, 1, 5, 9, 2, 3, 8, 7, 6, 4, 3, 8, 4, 6, 9, 7, 1, 5, 2, 6, 1, 5, 9, 8, 4, 3, 2, 7, 4, 9, 7, 3, 6, 2, 5, 1, 8, 8, 2, 3, 1, 7, 5, 4, 9, 6],
medium,[0, 7, 9, 0, 1, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 1, 6, 0, 0, 7, 0, 0, 9, 0, 4, 8, 7, 0, 0, 9, 3, 0, 0, 6, 0, 1, 7, 0, 3, 8, 0, 9, 0, 0, 3, 5, 0, 0, 7, 6, 4, 0, 4, 0, 0, 2, 0, 0, 1, 7, 0, 0, 0, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 8, 0],[8, 7, 9, 6, 1, 4, 2, 3, 5, 5, 3, 4, 8, 9, 2, 1, 7, 6, 1, 6, 2, 3, 7, 5, 4, 9, 8, 4, 8, 7, 2, 6, 9, 3, 5, 1, 6, 5, 1, 7, 4, 3, 8, 2, 9, 9, 2, 3, 5, 8, 1, 7, 6, 4, 3, 4, 8, 9, 2, 6, 5, 1, 7, 7, 9, 5, 1, 3, 8, 6, 4, 2, 2, 1, 6, 4, 5, 7, 9, 8, 3],
medium,[0, 8, 0, 0, 0, 0, 0, 0, 4, 6, 0, 9, 8, 0, 0, 3, 7, 0, 0, 5, 0, 0, 0, 3, 8, 1, 9, 0, 2, 0, 0, 3, 0, 7, 0, 0, 7, 0, 6, 4, 0, 2, 1, 0, 3, 0, 0, 8, 0, 5, 0, 0, 6, 0, 8, 6, 2, 3, 0, 0, 0, 4, 0, 0, 3, 1, 0, 0, 4, 2, 0, 7, 9, 0, 0, 0, 0, 0, 0, 3, 0],[1, 8, 3, 5, 9, 7, 6, 2, 4, 6, 4, 9, 8, 2, 1, 3, 7, 5, 2, 5, 7, 6, 4, 3, 8, 1, 9, 4, 2, 5, 1, 3, 6, 7, 9, 8, 7, 9, 6, 4, 8, 2, 1, 5, 3, 3, 1, 8, 7, 5, 9, 4, 6, 2, 8, 6, 2, 3, 7, 5, 9, 4, 1, 5, 3, 1, 9, 6, 4, 2, 8, 7, 9, 7, 4, 2, 1, 8, 5, 3, 6],
easy,[0, 7, 0, 2, 0, 9, 0, 0, 4, 4, 0, 9, 0, 3, 8, 6, 1, 0, 0, 0, 8, 1, 0, 0, 5, 0, 9, 8, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 6, 0, 3, 0, 0, 1, 9, 0, 0, 0, 2, 5, 3, 7, 0, 1, 0, 8, 7, 0, 0, 4, 0, 5, 0, 6, 0],[1, 7, 6, 2, 5, 9, 3, 8, 4, 4, 5, 9, 7, 3, 8, 6, 1, 2, 2, 3, 8, 1, 6, 4, 5, 7, 9, 8, 9, 7, 6, 1, 3, 4, 2, 5, 3, 6, 4, 5, 8, 2, 7, 9, 1, 5, 1, 2, 9, 4, 7, 8, 3, 6, 6, 4, 3, 8, 2, 1, 9, 5, 7, 9, 2, 5, 3, 7, 6, 1, 4, 8, 7, 8, 1, 4, 9, 5, 2, 6, 3],
medium,[0, 8, 0, 0, 0, 4, 0, 0, 0, 5, 3, 0, 6, 0, 0, 4, 8, 7, 6, 0, 0, 0, 7, 3, 1, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1, 8, 0, 0, 5, 0, 0, 0, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2, 5, 3, 0, 0, 0, 9, 4, 5, 1, 0, 0, 8, 0, 3, 6, 0, 0, 0, 2, 0, 0, 0, 7, 0],[1, 8, 7, 9, 5, 4, 6, 2, 3, 5, 3, 9, 6, 1, 2, 4, 8, 7, 6, 2, 4, 8, 7, 3, 1, 9, 5, 3, 7, 6, 4, 2, 5, 9, 1, 8, 9, 4, 5, 1, 8, 7, 3, 6, 2, 2, 1, 8, 3, 6, 9, 7, 5, 4, 7, 6, 2, 5, 3, 1, 8, 4, 9, 4, 5, 1, 7, 9, 8, 2, 3, 6, 8, 9, 3, 2, 4, 6, 5, 7, 1],
easy,[8, 0, 0, 0, 9, 5, 0, 6, 0, 0, 0, 9, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 9, 4, 0, 0, 3, 5, 7, 8, 6, 0, 0, 0, 8, 5, 6, 0, 4, 7, 2, 0, 0, 0, 6, 9, 2, 1, 5, 0, 0, 9, 7, 4, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 3, 9, 0, 0, 0, 6, 0, 2, 1, 0, 0, 0, 7],[8, 2, 7, 4, 9, 5, 1, 6, 3, 4, 3, 9, 1, 6, 2, 8, 7, 5, 6, 5, 1, 3, 8, 7, 2, 9, 4, 2, 9, 3, 5, 7, 8, 6, 4, 1, 1, 8, 5, 6, 3, 4, 7, 2, 9, 7, 4, 6, 9, 2, 1, 5, 3, 8, 9, 7, 4, 8, 5, 6, 3, 1, 2, 5, 1, 2, 7, 4, 3, 9, 8, 6, 3, 6, 8, 2, 1, 9, 4, 5, 7],
medium,[0, 0, 0, 6, 0, 0, 8, 1, 7, 5, 0, 0, 0, 9, 0, 2, 3, 0, 0, 3, 0, 0, 2, 0, 5, 0, 0, 0, 7, 3, 0, 6, 2, 4, 8, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 8, 1, 5, 3, 0, 9, 7, 0, 0, 0, 9, 0, 7, 0, 0, 5, 0, 0, 1, 5, 0, 4, 0, 0, 0, 8, 3, 2, 6, 0, 0, 5, 0, 0, 0],[2, 9, 4, 6, 5, 3, 8, 1, 7, 5, 6, 8, 7, 9, 1, 2, 3, 4, 1, 3, 7, 4, 2, 8, 5, 9, 6, 9, 7, 3, 1, 6, 2, 4, 8, 5, 4, 5, 2, 9, 8, 7, 3, 6, 1, 6, 8, 1, 5, 3, 4, 9, 7, 2, 8, 4, 9, 2, 7, 6, 1, 5, 3, 7, 1, 5, 3, 4, 9, 6, 2, 8, 3, 2, 6, 8, 1, 5, 7, 4, 9],
hard,[8, 0, 6, 5, 0, 0, 2, 0, 7, 4, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 5, 0, 6, 0, 0, 0, 8, 5, 0, 7, 9, 0, 6, 5, 0, 0, 0, 0, 0, 8, 4, 0, 3, 8, 0, 9, 1, 0, 0, 0, 5, 0, 1, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 1, 2, 0, 7, 0, 0, 5, 4, 0, 9],[8, 1, 6, 5, 4, 9, 2, 3, 7, 4, 7, 5, 2, 6, 3, 9, 1, 8, 9, 2, 3, 7, 1, 8, 5, 4, 6, 1, 4, 2, 8, 5, 6, 7, 9, 3, 6, 5, 9, 3, 7, 2, 1, 8, 4, 7, 3, 8, 4, 9, 1, 6, 2, 5, 5, 9, 1, 6, 8, 4, 3, 7, 2, 3, 6, 4, 9, 2, 7, 8, 5, 1, 2, 8, 7, 1, 3, 5, 4, 6, 9],
hard,[0, 0, 0, 0, 0, 0, 0, 7, 0, 8, 7, 0, 0, 2, 0, 1, 0, 9, 0, 1, 0, 6, 0, 0, 4, 0, 8, 3, 6, 0, 0, 1, 0, 0, 0, 4, 2, 0, 5, 9, 0, 3, 8, 0, 7, 7, 0, 0, 0, 5, 0, 0, 6, 2, 9, 0, 3, 0, 0, 6, 0, 8, 0, 6, 0, 4, 0, 3, 0, 0, 2, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0],[4, 3, 9, 5, 8, 1, 2, 7, 6, 8, 7, 6, 3, 2, 4, 1, 5, 9, 5, 1, 2, 6, 7, 9, 4, 3, 8, 3, 6, 8, 2, 1, 7, 5, 9, 4, 2, 4, 5, 9, 6, 3, 8, 1, 7, 7, 9, 1, 4, 5, 8, 3, 6, 2, 9, 2, 3, 1, 4, 6, 7, 8, 5, 6, 8, 4, 7, 3, 5, 9, 2, 1, 1, 5, 7, 8, 9, 2, 6, 4, 3],
hard,[8, 0, 6, 5, 7, 0, 4, 0, 0, 0, 7, 2, 4, 6, 0, 0, 0, 9, 0, 0, 4, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 5, 1, 7, 8, 0, 4, 9, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 1, 0, 0, 3, 0, 0, 2, 0, 0, 0, 5, 7, 8, 6, 0, 0, 0, 1, 0, 4, 2, 7, 0, 5],[8, 3, 6, 5, 7, 9, 4, 1, 2, 1, 7, 2, 4, 6, 3, 5, 8, 9, 9, 5, 4, 2, 8, 1, 6, 7, 3, 4, 9, 3, 7, 1, 6, 2, 5, 8, 5, 1, 7, 8, 2, 4, 9, 3, 6, 6, 2, 8, 9, 3, 5, 1, 4, 7, 7, 6, 5, 1, 9, 8, 3, 2, 4, 2, 4, 9, 3, 5, 7, 8, 6, 1, 3, 8, 1, 6, 4, 2, 7, 9, 5],
medium,[8, 3, 0, 0, 7, 0, 0, 0, 0, 0, 0, 9, 0, 6, 3, 0, 0, 0, 7, 0, 0, 0, 0, 5, 9, 3, 8, 0, 1, 0, 2, 9, 0, 0, 0, 5, 0, 4, 7, 0, 0, 0, 6, 9, 0, 5, 0, 0, 0, 3, 4, 0, 2, 0, 1, 7, 2, 5, 0, 0, 0, 0, 6, 0, 0, 0, 7, 1, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 7, 9],[8, 3, 5, 9, 7, 1, 2, 6, 4, 4, 2, 9, 8, 6, 3, 5, 1, 7, 7, 6, 1, 4, 2, 5, 9, 3, 8, 3, 1, 6, 2, 9, 7, 8, 4, 5, 2, 4, 7, 1, 5, 8, 6, 9, 3, 5, 9, 8, 6, 3, 4, 7, 2, 1, 1, 7, 2, 5, 4, 9, 3, 8, 6, 9, 8, 3, 7, 1, 6, 4, 5, 2, 6, 5, 4, 3, 8, 2, 1, 7, 9],
easy,[3, 6, 2, 9, 0, 0, 0, 0, 0, 5, 7, 0, 0, 0, 0, 0, 2, 4, 0, 0, 4, 5, 0, 7, 0, 0, 6, 0, 3, 7, 0, 4, 0, 5, 0, 8, 0, 0, 0, 1, 0, 8, 0, 0, 0, 2, 0, 1, 0, 5, 0, 4, 6, 0, 7, 0, 0, 6, 0, 5, 9, 0, 0, 6, 4, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 2, 6, 8, 3],[3, 6, 2, 9, 8, 4, 1, 7, 5, 5, 7, 9, 3, 6, 1, 8, 2, 4, 8, 1, 4, 5, 2, 7, 3, 9, 6, 9, 3, 7, 2, 4, 6, 5, 1, 8, 4, 5, 6, 1, 9, 8, 2, 3, 7, 2, 8, 1, 7, 5, 3, 4, 6, 9, 7, 2, 8, 6, 3, 5, 9, 4, 1, 6, 4, 3, 8, 1, 9, 7, 5, 2, 1, 9, 5, 4, 7, 2, 6, 8, 3],
hard,[0, 0, 6, 0, 8, 0, 0, 0, 0, 8, 5, 0, 7, 1, 0, 9, 0, 0, 4, 0, 1, 0, 2, 0, 6, 0, 8, 0, 2, 9, 0, 0, 0, 0, 0, 7, 0, 8, 0, 1, 3, 9, 0, 6, 0, 6, 0, 0, 0, 0, 0, 8, 9, 0, 9, 0, 2, 0, 4, 0, 7, 0, 3, 0, 0, 7, 0, 9, 2, 0, 8, 6, 0, 0, 0, 0, 5, 0, 1, 0, 0],[2, 7, 6, 9, 8, 4, 3, 1, 5, 8, 5, 3, 7, 1, 6, 9, 4, 2, 4, 9, 1, 5, 2, 3, 6, 7, 8, 1, 2, 9, 4, 6, 8, 5, 3, 7, 7, 8, 5, 1, 3, 9, 2, 6, 4, 6, 3, 4, 2, 7, 5, 8, 9, 1, 9, 6, 2, 8, 4, 1, 7, 5, 3, 5, 1, 7, 3, 9, 2, 4, 8, 6, 3, 4, 8, 6, 5, 7, 1, 2, 9],
hard,[0, 4, 6, 0, 0, 0, 0, 9, 0, 7, 0, 0, 4, 0, 0, 5, 0, 0, 0, 3, 0, 7, 0, 1, 4, 6, 8, 4, 0, 0, 9, 1, 0, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 9, 0, 4, 5, 0, 0, 2, 9, 5, 7, 6, 0, 2, 0, 8, 0, 0, 0, 4, 0, 0, 9, 0, 0, 3, 0, 8, 0, 0, 0, 0, 9, 2, 0],[1, 4, 6, 8, 5, 3, 2, 9, 7, 7, 9, 8, 4, 2, 6, 5, 3, 1, 2, 3, 5, 7, 9, 1, 4, 6, 8, 4, 6, 2, 9, 1, 8, 3, 7, 5, 5, 1, 3, 2, 6, 7, 8, 4, 9, 8, 7, 9, 3, 4, 5, 6, 1, 2, 9, 5, 7, 6, 3, 2, 1, 8, 4, 6, 2, 4, 1, 8, 9, 7, 5, 3, 3, 8, 1, 5, 7, 4, 9, 2, 6],
easy,[9, 4, 6, 0, 3, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 7, 0, 3, 0, 0, 5, 0, 2, 8, 4, 0, 0, 1, 8, 9, 0, 4, 0, 2, 7, 6, 0, 0, 7, 9, 6, 0, 5, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 5, 0, 1, 4, 7],[9, 4, 6, 5, 3, 7, 8, 2, 1, 5, 7, 3, 1, 8, 2, 9, 6, 4, 2, 1, 8, 4, 9, 6, 7, 5, 3, 6, 3, 5, 7, 2, 8, 4, 1, 9, 1, 8, 9, 3, 4, 5, 2, 7, 6, 4, 2, 7, 9, 6, 1, 5, 3, 8, 3, 5, 1, 8, 7, 4, 6, 9, 2, 7, 6, 4, 2, 1, 9, 3, 8, 5, 8, 9, 2, 6, 5, 3, 1, 4, 7],
easy,[6, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 5, 0, 0, 0, 0, 7, 0, 8, 1, 4, 0, 2, 7, 9, 0, 0, 3, 0, 8, 6, 5, 0, 0, 0, 0, 4, 0, 0, 2, 0, 8, 0, 0, 3, 0, 0, 0, 0, 3, 1, 5, 0, 8, 0, 0, 9, 8, 6, 0, 1, 5, 7, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 6],[6, 2, 7, 5, 8, 9, 3, 1, 4, 9, 3, 5, 1, 4, 6, 8, 7, 2, 8, 1, 4, 3, 2, 7, 9, 6, 5, 3, 9, 8, 6, 5, 4, 7, 2, 1, 4, 5, 1, 2, 7, 8, 6, 9, 3, 7, 6, 2, 9, 3, 1, 5, 4, 8, 2, 4, 9, 8, 6, 3, 1, 5, 7, 5, 8, 6, 7, 1, 2, 4, 3, 9, 1, 7, 3, 4, 9, 5, 2, 8, 6],
hard,[9, 0, 0, 1, 3, 0, 4, 0, 0, 0, 7, 0, 9, 5, 0, 0, 8, 0, 1, 0, 0, 2, 8, 6, 0, 7, 0, 0, 0, 2, 3, 1, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 5, 0, 8, 0, 0, 0, 4, 5, 1, 0, 0, 0, 5, 0, 8, 7, 1, 0, 0, 3, 0, 1, 0, 0, 2, 3, 0, 9, 0, 0, 0, 3, 0, 6, 9, 0, 0, 4],[9, 8, 5, 1, 3, 7, 4, 2, 6, 2, 7, 6, 9, 5, 4, 3, 8, 1, 1, 3, 4, 2, 8, 6, 9, 7, 5, 5, 6, 2, 3, 1, 8, 7, 4, 9, 3, 4, 1, 7, 9, 2, 6, 5, 8, 8, 9, 7, 6, 4, 5, 1, 3, 2, 4, 5, 9, 8, 7, 1, 2, 6, 3, 6, 1, 8, 4, 2, 3, 5, 9, 7, 7, 2, 3, 5, 6, 9, 8, 1, 4],
easy,[9, 2, 4, 1, 0, 0, 6, 0, 0, 0, 0, 7, 9, 0, 8, 0, 1, 0, 1, 6, 8, 0, 0, 0, 7, 0, 0, 0, 9, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 3, 0, 5, 0, 0, 0, 6, 0, 0, 0, 9, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 5, 9, 7, 0, 5, 0, 7, 0, 2, 1, 0, 0, 0, 0, 6, 0, 0, 9, 4, 3, 2],[9, 2, 4, 1, 5, 7, 6, 8, 3, 5, 3, 7, 9, 6, 8, 2, 1, 4, 1, 6, 8, 4, 2, 3, 7, 5, 9, 4, 9, 3, 2, 1, 6, 8, 7, 5, 2, 8, 1, 3, 7, 5, 9, 4, 6, 6, 7, 5, 8, 9, 4, 3, 2, 1, 8, 4, 2, 6, 3, 1, 5, 9, 7, 3, 5, 9, 7, 4, 2, 1, 6, 8, 7, 1, 6, 5, 8, 9, 4, 3, 2],
medium,[0, 4, 9, 6, 0, 0, 3, 1, 8, 3, 2, 0, 0, 0, 0, 7, 0, 6, 0, 0, 1, 0, 9, 0, 0, 0, 0, 4, 0, 8, 0, 6, 0, 0, 0, 0, 0, 5, 0, 2, 4, 7, 0, 6, 0, 0, 0, 0, 0, 1, 0, 5, 0, 4, 0, 0, 0, 0, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 0, 0, 5, 2, 9, 3, 6, 0, 0, 8, 1, 4, 0],[7, 4, 9, 6, 5, 2, 3, 1, 8, 3, 2, 5, 4, 8, 1, 7, 9, 6, 6, 8, 1, 7, 9, 3, 4, 2, 5, 4, 9, 8, 3, 6, 5, 2, 7, 1, 1, 5, 3, 2, 4, 7, 8, 6, 9, 2, 6, 7, 8, 1, 9, 5, 3, 4, 5, 1, 2, 9, 7, 4, 6, 8, 3, 8, 7, 4, 1, 3, 6, 9, 5, 2, 9, 3, 6, 5, 2, 8, 1, 4, 7],
medium,[0, 0, 0, 1, 6, 3, 0, 2, 7, 2, 7, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 2, 7, 0, 4, 5, 3, 0, 0, 8, 0, 9, 0, 0, 0, 0, 0, 9, 0, 5, 0, 3, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 4, 8, 6, 0, 2, 9, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0, 9, 8, 9, 2, 0, 5, 1, 8, 0, 0, 0],[5, 9, 4, 1, 6, 3, 8, 2, 7, 2, 7, 1, 4, 8, 5, 6, 3, 9, 6, 3, 8, 9, 2, 7, 1, 4, 5, 3, 1, 6, 8, 4, 9, 5, 7, 2, 4, 8, 9, 7, 5, 2, 3, 1, 6, 7, 5, 2, 6, 3, 1, 9, 8, 4, 8, 6, 3, 2, 9, 4, 7, 5, 1, 1, 4, 5, 3, 7, 6, 2, 9, 8, 9, 2, 7, 5, 1, 8, 4, 6, 3],
medium,[0, 0, 5, 0, 2, 3, 6, 1, 8, 0, 6, 0, 8, 0, 0, 4, 2, 0, 8, 0, 2, 0, 0, 6, 0, 5, 0, 3, 9, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 6, 0, 8, 0, 1, 0, 0, 7, 0, 9, 0, 1, 3, 0, 0, 8, 0, 4, 0, 6, 2, 9, 5, 4, 0, 8, 0, 0],[9, 4, 5, 7, 2, 3, 6, 1, 8, 1, 6, 7, 8, 5, 9, 4, 2, 3, 8, 3, 2, 4, 1, 6, 9, 5, 7, 3, 9, 1, 6, 8, 5, 2, 7, 4, 2, 7, 6, 3, 9, 4, 1, 8, 5, 4, 5, 8, 2, 7, 1, 3, 9, 6, 5, 8, 4, 1, 3, 2, 7, 6, 9, 7, 1, 3, 9, 6, 8, 5, 4, 2, 6, 2, 9, 5, 4, 7, 8, 3, 1],
medium,[0, 7, 0, 6, 0, 0, 3, 2, 0, 0, 9, 0, 0, 5, 2, 4, 0, 0, 6, 0, 0, 1, 3, 7, 0, 0, 0, 0, 5, 0, 0, 7, 0, 1, 0, 0, 4, 0, 7, 0, 0, 0, 9, 0, 3, 0, 0, 9, 0, 8, 0, 0, 7, 0, 0, 0, 0, 7, 1, 6, 0, 0, 5, 0, 0, 8, 5, 9, 0, 0, 1, 0, 0, 1, 6, 0, 0, 8, 0, 3, 0],[8, 7, 5, 6, 4, 9, 3, 2, 1, 3, 9, 1, 8, 5, 2, 4, 6, 7, 6, 2, 4, 1, 3, 7, 5, 9, 8, 2, 5, 3, 9, 7, 4, 1, 8, 6, 4, 8, 7, 2, 6, 1, 9, 5, 3, 1, 6, 9, 3, 8, 5, 2, 7, 4, 9, 3, 2, 7, 1, 6, 8, 4, 5, 7, 4, 8, 5, 9, 3, 6, 1, 2, 5, 1, 6, 4, 2, 8, 7, 3, 9],
easy,[0, 0, 6, 0, 0, 0, 0, 9, 0, 8, 0, 1, 5, 9, 0, 6, 0, 0, 5, 0, 0, 8, 2, 0, 0, 0, 1, 0, 8, 0, 0, 0, 0, 0, 1, 4, 0, 0, 9, 3, 4, 2, 5, 0, 0, 4, 5, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 1, 3, 0, 0, 7, 0, 0, 8, 0, 5, 4, 3, 0, 9, 0, 3, 0, 0, 0, 0, 1, 0, 0],[7, 2, 6, 4, 3, 1, 8, 9, 5, 8, 4, 1, 5, 9, 7, 6, 3, 2, 5, 9, 3, 8, 2, 6, 7, 4, 1, 3, 8, 2, 7, 6, 5, 9, 1, 4, 6, 1, 9, 3, 4, 2, 5, 7, 8, 4, 5, 7, 1, 8, 9, 2, 6, 3, 2, 6, 5, 9, 1, 3, 4, 8, 7, 1, 7, 8, 6, 5, 4, 3, 2, 9, 9, 3, 4, 2, 7, 8, 1, 5, 6],
easy,[9, 0, 0, 0, 0, 8, 0, 5, 1, 8, 0, 4, 0, 5, 0, 9, 3, 0, 2, 5, 0, 0, 0, 0, 0, 8, 0, 7, 0, 0, 9, 0, 3, 0, 0, 2, 4, 0, 0, 7, 0, 6, 0, 0, 3, 3, 0, 0, 4, 0, 5, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 4, 9, 0, 4, 9, 0, 6, 0, 3, 0, 8, 6, 7, 0, 8, 0, 0, 0, 0, 5],[9, 3, 7, 6, 4, 8, 2, 5, 1, 8, 1, 4, 2, 5, 7, 9, 3, 6, 2, 5, 6, 1, 3, 9, 7, 8, 4, 7, 6, 5, 9, 8, 3, 4, 1, 2, 4, 2, 8, 7, 1, 6, 5, 9, 3, 3, 9, 1, 4, 2, 5, 8, 6, 7, 5, 8, 2, 3, 7, 1, 6, 4, 9, 1, 4, 9, 5, 6, 2, 3, 7, 8, 6, 7, 3, 8, 9, 4, 1, 2, 5],
easy,[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 6, 0, 0, 8, 5, 3, 6, 0, 8, 7, 0, 0, 0, 0, 4, 3, 1, 0, 5, 0, 0, 4, 0, 6, 0, 0, 6, 9, 0, 1, 3, 0, 0, 2, 0, 4, 0, 0, 6, 0, 9, 7, 8, 0, 0, 0, 0, 3, 7, 0, 9, 4, 9, 2, 0, 0, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],[9, 3, 5, 4, 1, 8, 6, 7, 2, 1, 4, 7, 6, 2, 9, 8, 5, 3, 6, 2, 8, 7, 3, 5, 9, 1, 4, 3, 1, 9, 5, 7, 2, 4, 8, 6, 7, 8, 6, 9, 4, 1, 3, 2, 5, 2, 5, 4, 3, 8, 6, 1, 9, 7, 8, 6, 1, 2, 5, 3, 7, 4, 9, 4, 9, 2, 8, 6, 7, 5, 3, 1, 5, 7, 3, 1, 9, 4, 2, 6, 8],
hard,[5, 0, 0, 0, 4, 0, 7, 3, 9, 0, 9, 0, 6, 7, 0, 0, 0, 1, 0, 0, 0, 0, 3, 1, 0, 4, 5, 3, 8, 0, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 0, 1, 8, 6, 3, 0, 4, 5, 0, 0, 0, 0, 7, 0, 0, 0, 1, 8, 0, 6, 0, 8, 2, 1, 0, 6, 0, 0, 0, 7],[5, 1, 6, 8, 4, 2, 7, 3, 9, 4, 9, 3, 6, 7, 5, 8, 2, 1, 2, 7, 8, 9, 3, 1, 6, 4, 5, 3, 8, 5, 1, 9, 6, 2, 7, 4, 1, 4, 2, 7, 8, 3, 5, 9, 6, 9, 6, 7, 5, 2, 4, 3, 1, 8, 6, 3, 9, 4, 5, 7, 1, 8, 2, 7, 5, 4, 2, 1, 8, 9, 6, 3, 8, 2, 1, 3, 6, 9, 4, 5, 7],
medium,[0, 4, 9, 3, 0, 6, 0, 0, 7, 0, 0, 3, 5, 0, 0, 0, 0, 9, 0, 0, 1, 0, 7, 0, 0, 4, 0, 0, 7, 0, 2, 3, 9, 6, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 4, 7, 8, 5, 0, 1, 0, 0, 5, 0, 0, 2, 0, 4, 0, 0, 4, 0, 0, 0, 0, 3, 8, 0, 0, 3, 0, 0, 4, 0, 1, 9, 6, 0],[8, 4, 9, 3, 1, 6, 5, 2, 7, 7, 6, 3, 5, 4, 2, 1, 8, 9, 5, 2, 1, 9, 7, 8, 3, 4, 6, 1, 7, 8, 2, 3, 9, 6, 5, 4, 2, 3, 5, 1, 6, 4, 7, 9, 8, 6, 9, 4, 7, 8, 5, 2, 1, 3, 9, 5, 6, 8, 2, 7, 4, 3, 1, 4, 1, 2, 6, 9, 3, 8, 7, 5, 3, 8, 7, 4, 5, 1, 9, 6, 2],
medium,[0, 0, 9, 7, 1, 0, 0, 0, 2, 5, 0, 2, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 6, 3, 4, 0, 7, 1, 0, 0, 0, 7, 2, 5, 0, 0, 0, 1, 4, 3, 0, 0, 0, 4, 3, 0, 6, 7, 5, 0, 0, 6, 3, 0, 0, 0, 0, 0, 0, 8, 0, 0, 5, 0, 9, 0, 6, 1, 0, 0, 0, 6, 9, 3, 0, 0],[8, 6, 9, 7, 1, 5, 4, 3, 2, 5, 4, 2, 8, 9, 3, 7, 6, 1, 3, 7, 1, 6, 2, 4, 8, 5, 9, 6, 3, 4, 5, 7, 1, 2, 9, 8, 7, 2, 5, 9, 8, 6, 1, 4, 3, 9, 1, 8, 4, 3, 2, 6, 7, 5, 2, 9, 6, 3, 4, 8, 5, 1, 7, 4, 8, 3, 1, 5, 7, 9, 2, 6, 1, 5, 7, 2, 6, 9, 3, 8, 4],
hard,[0, 1, 0, 9, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 2, 8, 4, 2, 7, 5, 1, 3, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 9, 0, 5, 1, 0, 7, 8, 0, 4, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 8, 6, 1, 3, 4, 7, 5, 5, 6, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 8, 0, 6, 0],[6, 1, 3, 9, 4, 2, 7, 5, 8, 7, 5, 9, 3, 8, 6, 1, 4, 2, 8, 4, 2, 7, 5, 1, 3, 9, 6, 1, 8, 6, 4, 3, 9, 5, 2, 7, 9, 2, 5, 1, 6, 7, 8, 3, 4, 4, 3, 7, 8, 2, 5, 6, 1, 9, 2, 9, 8, 6, 1, 3, 4, 7, 5, 5, 6, 1, 2, 7, 4, 9, 8, 3, 3, 7, 4, 5, 9, 8, 2, 6, 1],
medium,[0, 0, 0, 0, 2, 0, 3, 7, 4, 0, 1, 0, 0, 7, 4, 0, 6, 8, 2, 0, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 9, 3, 8, 7, 0, 2, 4, 1, 5, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 0, 2, 1, 2, 0, 9, 5, 0, 0, 8, 0, 5, 7, 6, 0, 4, 0, 0, 0, 0],[6, 8, 5, 1, 2, 9, 3, 7, 4, 3, 1, 9, 5, 7, 4, 2, 6, 8, 2, 4, 7, 3, 8, 6, 9, 5, 1, 7, 5, 2, 4, 9, 1, 8, 3, 6, 9, 3, 8, 7, 6, 2, 4, 1, 5, 4, 6, 1, 8, 3, 5, 7, 2, 9, 8, 9, 3, 6, 1, 7, 5, 4, 2, 1, 2, 4, 9, 5, 3, 6, 8, 7, 5, 7, 6, 2, 4, 8, 1, 9, 3],
hard,[1, 0, 0, 8, 0, 4, 5, 0, 0, 0, 0, 7, 0, 0, 1, 9, 3, 0, 0, 0, 0, 0, 7, 0, 1, 6, 8, 8, 0, 0, 0, 0, 2, 3, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 6, 5, 3, 0, 0, 0, 0, 2, 6, 2, 4, 0, 3, 0, 0, 0, 0, 0, 5, 1, 9, 0, 0, 6, 0, 0, 0, 0, 8, 6, 0, 5, 0, 0, 1],[1, 3, 6, 8, 9, 4, 5, 2, 7, 5, 8, 7, 2, 6, 1, 9, 3, 4, 9, 4, 2, 5, 7, 3, 1, 6, 8, 8, 7, 9, 4, 5, 2, 3, 1, 6, 2, 1, 3, 7, 8, 6, 4, 9, 5, 4, 6, 5, 3, 1, 9, 7, 8, 2, 6, 2, 4, 1, 3, 7, 8, 5, 9, 7, 5, 1, 9, 2, 8, 6, 4, 3, 3, 9, 8, 6, 4, 5, 2, 7, 1],
medium,[0, 8, 0, 6, 0, 9, 0, 0, 3, 0, 0, 5, 0, 0, 0, 2, 9, 0, 6, 0, 0, 5, 0, 0, 4, 0, 0, 0, 1, 0, 0, 7, 0, 0, 8, 4, 8, 0, 3, 0, 9, 0, 6, 0, 7, 4, 5, 0, 0, 6, 0, 0, 2, 0, 0, 0, 8, 0, 0, 3, 0, 0, 2, 0, 7, 4, 0, 0, 0, 9, 0, 0, 1, 0, 0, 4, 0, 7, 0, 6, 0],[7, 8, 2, 6, 4, 9, 5, 1, 3, 3, 4, 5, 7, 8, 1, 2, 9, 6, 6, 9, 1, 5, 3, 2, 4, 7, 8, 9, 1, 6, 2, 7, 5, 3, 8, 4, 8, 2, 3, 1, 9, 4, 6, 5, 7, 4, 5, 7, 3, 6, 8, 1, 2, 9, 5, 6, 8, 9, 1, 3, 7, 4, 2, 2, 7, 4, 8, 5, 6, 9, 3, 1, 1, 3, 9, 4, 2, 7, 8, 6, 5],
easy,[0, 0, 0, 0, 6, 0, 7, 4, 0, 0, 6, 2, 8, 0, 0, 0, 0, 3, 0, 0, 7, 2, 3, 4, 1, 6, 0, 0, 8, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 5, 0, 7, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 1, 8, 3, 2, 9, 6, 0, 0, 5, 0, 0, 0, 0, 8, 3, 7, 0, 0, 9, 4, 0, 5, 0, 0, 0, 0],[8, 3, 1, 9, 6, 5, 7, 4, 2, 4, 6, 2, 8, 7, 1, 5, 9, 3, 9, 5, 7, 2, 3, 4, 1, 6, 8, 2, 8, 5, 6, 9, 3, 4, 1, 7, 1, 4, 9, 5, 8, 7, 2, 3, 6, 6, 7, 3, 4, 1, 2, 9, 8, 5, 7, 1, 8, 3, 2, 9, 6, 5, 4, 5, 2, 6, 1, 4, 8, 3, 7, 9, 3, 9, 4, 7, 5, 6, 8, 2, 1],
easy,[7, 0, 6, 2, 0, 4, 0, 0, 0, 0, 0, 5, 6, 0, 0, 7, 0, 2, 2, 0, 0, 5, 0, 0, 0, 9, 0, 0, 0, 9, 0, 5, 0, 3, 1, 0, 3, 0, 0, 1, 4, 8, 0, 0, 9, 0, 5, 2, 0, 6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 1, 8, 0, 1, 0, 0, 6, 2, 0, 0, 0, 0, 0, 8, 0, 5, 9, 0, 7],[7, 3, 6, 2, 9, 4, 1, 8, 5, 9, 4, 5, 6, 8, 1, 7, 3, 2, 2, 1, 8, 5, 3, 7, 6, 9, 4, 4, 8, 9, 7, 5, 2, 3, 1, 6, 3, 6, 7, 1, 4, 8, 5, 2, 9, 1, 5, 2, 3, 6, 9, 4, 7, 8, 5, 7, 4, 9, 2, 3, 8, 6, 1, 8, 9, 1, 4, 7, 6, 2, 5, 3, 6, 2, 3, 8, 1, 5, 9, 4, 7],
hard,[0, 0, 0, 7, 1, 4, 0, 6, 0, 0, 0, 7, 8, 0, 0, 0, 0, 0, 0, 4, 8, 0, 9, 0, 5, 0, 1, 8, 3, 0, 9, 0, 1, 6, 0, 0, 0, 0, 6, 0, 3, 0, 9, 0, 0, 0, 0, 9, 6, 0, 5, 0, 1, 8, 2, 0, 1, 0, 6, 0, 4, 5, 0, 0, 0, 0, 0, 0, 9, 7, 0, 0, 0, 7, 0, 5, 4, 2, 0, 0, 0],[5, 9, 2, 7, 1, 4, 8, 6, 3, 1, 6, 7, 8, 5, 3, 2, 9, 4, 3, 4, 8, 2, 9, 6, 5, 7, 1, 8, 3, 5, 9, 2, 1, 6, 4, 7, 7, 1, 6, 4, 3, 8, 9, 2, 5, 4, 2, 9, 6, 7, 5, 3, 1, 8, 2, 8, 1, 3, 6, 7, 4, 5, 9, 6, 5, 4, 1, 8, 9, 7, 3, 2, 9, 7, 3, 5, 4, 2, 1, 8, 6],
medium,[0, 4, 0, 0, 0, 0, 6, 7, 3, 8, 0, 0, 6, 0, 7, 9, 2, 0, 0, 7, 6, 0, 9, 0, 0, 0, 0, 3, 0, 8, 0, 0, 4, 0, 0, 0, 6, 0, 0, 2, 8, 9, 0, 0, 7, 0, 0, 0, 3, 0, 0, 2, 0, 4, 0, 0, 0, 0, 5, 0, 4, 3, 0, 0, 6, 3, 4, 0, 1, 0, 0, 2, 4, 1, 5, 0, 0, 0, 0, 9, 0],[5, 4, 9, 1, 2, 8, 6, 7, 3, 8, 3, 1, 6, 4, 7, 9, 2, 5, 2, 7, 6, 5, 9, 3, 1, 4, 8, 3, 2, 8, 7, 1, 4, 5, 6, 9, 6, 5, 4, 2, 8, 9, 3, 1, 7, 1, 9, 7, 3, 6, 5, 2, 8, 4, 7, 8, 2, 9, 5, 6, 4, 3, 1, 9, 6, 3, 4, 7, 1, 8, 5, 2, 4, 1, 5, 8, 3, 2, 7, 9, 6],
hard,[0, 3, 0, 0, 4, 0, 5, 0, 0, 7, 0, 0, 0, 0, 0, 0, 3, 4, 6, 0, 0, 0, 0, 0, 0, 0, 9, 0, 5, 8, 9, 0, 1, 4, 0, 7, 2, 0, 0, 4, 0, 7, 0, 0, 5, 4, 0, 7, 3, 0, 2, 6, 9, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 5, 7, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 0, 2, 0, 0, 7, 0],[9, 3, 2, 7, 4, 8, 5, 6, 1, 7, 8, 5, 6, 1, 9, 2, 3, 4, 6, 4, 1, 2, 3, 5, 7, 8, 9, 3, 5, 8, 9, 6, 1, 4, 2, 7, 2, 6, 9, 4, 8, 7, 3, 1, 5, 4, 1, 7, 3, 5, 2, 6, 9, 8, 8, 2, 4, 1, 7, 3, 9, 5, 6, 5, 7, 3, 8, 9, 6, 1, 4, 2, 1, 9, 6, 5, 2, 4, 8, 7, 3],
hard,[5, 0, 3, 4, 0, 0, 0, 8, 0, 8, 0, 7, 9, 3, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 7, 2, 0, 3, 8, 0, 2, 0, 0, 0, 7, 0, 0, 4, 6, 0, 9, 8, 0, 0, 7, 0, 0, 0, 8, 0, 5, 1, 0, 3, 4, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 4, 8, 9, 0, 5, 0, 8, 0, 0, 0, 3, 2, 0, 1],[5, 2, 3, 4, 1, 7, 6, 8, 9, 8, 6, 7, 9, 3, 2, 1, 5, 4, 4, 1, 9, 8, 5, 6, 3, 7, 2, 6, 3, 8, 5, 2, 1, 4, 9, 7, 1, 5, 4, 6, 7, 9, 8, 2, 3, 7, 9, 2, 3, 8, 4, 5, 1, 6, 3, 4, 1, 2, 9, 5, 7, 6, 8, 2, 7, 6, 1, 4, 8, 9, 3, 5, 9, 8, 5, 7, 6, 3, 2, 4, 1],
medium,[5, 7, 0, 0, 9, 1, 0, 3, 4, 2, 1, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 6, 9, 8, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 5, 8, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 8, 0, 0, 6, 9, 9, 2, 0, 6, 4, 0, 0, 8, 3],[5, 7, 6, 8, 9, 1, 2, 3, 4, 2, 1, 9, 3, 5, 4, 8, 7, 6, 3, 8, 4, 2, 7, 6, 9, 1, 5, 1, 4, 2, 5, 3, 7, 6, 9, 8, 6, 9, 3, 1, 2, 8, 4, 5, 7, 7, 5, 8, 4, 6, 9, 3, 2, 1, 8, 6, 5, 9, 1, 3, 7, 4, 2, 4, 3, 1, 7, 8, 2, 5, 6, 9, 9, 2, 7, 6, 4, 5, 1, 8, 3],
hard,[6, 0, 0, 0, 8, 4, 0, 0, 0, 0, 7, 0, 6, 0, 0, 1, 0, 0, 1, 3, 0, 0, 0, 2, 0, 8, 0, 4, 8, 0, 2, 0, 9, 0, 0, 0, 5, 2, 0, 3, 0, 7, 0, 9, 8, 0, 0, 0, 4, 0, 8, 0, 2, 5, 0, 4, 0, 9, 0, 0, 0, 5, 2, 0, 0, 8, 0, 0, 3, 0, 7, 0, 0, 0, 0, 8, 4, 0, 0, 0, 3],[6, 9, 5, 1, 8, 4, 2, 3, 7, 8, 7, 2, 6, 3, 5, 1, 4, 9, 1, 3, 4, 7, 9, 2, 5, 8, 6, 4, 8, 3, 2, 5, 9, 7, 6, 1, 5, 2, 1, 3, 6, 7, 4, 9, 8, 7, 6, 9, 4, 1, 8, 3, 2, 5, 3, 4, 6, 9, 7, 1, 8, 5, 2, 9, 1, 8, 5, 2, 3, 6, 7, 4, 2, 5, 7, 8, 4, 6, 9, 1, 3],
hard,[0, 3, 6, 0, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 1, 5, 0, 0, 5, 0, 7, 0, 6, 0, 4, 0, 2, 0, 7, 0, 1, 8, 6, 2, 0, 5, 0, 4, 0, 0, 0, 0, 0, 9, 0, 8, 0, 5, 9, 3, 4, 0, 7, 0, 3, 0, 9, 0, 7, 0, 1, 0, 4, 0, 0, 2, 6, 0, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 3, 2, 0],[1, 3, 6, 4, 2, 5, 7, 8, 9, 2, 8, 4, 7, 9, 1, 5, 3, 6, 5, 9, 7, 3, 6, 8, 4, 1, 2, 9, 7, 3, 1, 8, 6, 2, 4, 5, 6, 4, 1, 2, 5, 7, 8, 9, 3, 8, 2, 5, 9, 3, 4, 6, 7, 1, 3, 5, 9, 8, 7, 2, 1, 6, 4, 7, 1, 2, 6, 4, 3, 9, 5, 8, 4, 6, 8, 5, 1, 9, 3, 2, 7],
medium,[0, 3, 0, 5, 0, 4, 9, 0, 0, 0, 0, 4, 0, 6, 0, 7, 0, 3, 1, 0, 0, 0, 3, 7, 0, 5, 0, 4, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 8, 1, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 9, 6, 0, 6, 0, 7, 9, 0, 0, 0, 2, 7, 0, 2, 0, 1, 0, 8, 0, 0, 0, 0, 8, 3, 0, 2, 0, 1, 0],[8, 3, 7, 5, 2, 4, 9, 6, 1, 5, 2, 4, 1, 6, 9, 7, 8, 3, 1, 9, 6, 8, 3, 7, 2, 5, 4, 4, 1, 9, 2, 5, 6, 3, 7, 8, 6, 7, 3, 9, 8, 1, 4, 2, 5, 2, 8, 5, 4, 7, 3, 1, 9, 6, 3, 6, 1, 7, 9, 8, 5, 4, 2, 7, 4, 2, 6, 1, 5, 8, 3, 9, 9, 5, 8, 3, 4, 2, 6, 1, 7],
medium,[1, 3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 5, 0, 3, 0, 0, 0, 1, 0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 4, 3, 2, 0, 8, 9, 0, 5, 0, 5, 0, 4, 0, 3, 0, 6, 0, 8, 0, 7, 6, 0, 1, 4, 3, 0, 0, 7, 0, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 6, 0, 7, 0, 0, 0, 6, 0, 0, 0, 0, 0, 5, 4],[1, 3, 6, 8, 2, 7, 5, 4, 9, 7, 2, 5, 9, 3, 4, 6, 8, 1, 9, 8, 4, 5, 1, 6, 2, 7, 3, 6, 4, 3, 2, 7, 8, 9, 1, 5, 2, 5, 1, 4, 9, 3, 8, 6, 7, 8, 9, 7, 6, 5, 1, 4, 3, 2, 5, 7, 8, 1, 4, 2, 3, 9, 6, 4, 1, 9, 3, 6, 5, 7, 2, 8, 3, 6, 2, 7, 8, 9, 1, 5, 4],
hard,[7, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 5, 0, 8, 0, 2, 0, 0, 0, 0, 6, 2, 1, 9, 7, 0, 0, 0, 3, 0, 8, 0, 0, 0, 1, 4, 0, 6, 0, 5, 0, 1, 0, 7, 0, 2, 5, 0, 0, 0, 3, 0, 6, 0, 0, 0, 9, 1, 2, 4, 6, 0, 0, 0, 0, 4, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0, 5],[7, 8, 2, 3, 5, 6, 9, 4, 1, 1, 9, 5, 4, 8, 7, 2, 3, 6, 3, 4, 6, 2, 1, 9, 7, 5, 8, 9, 3, 7, 8, 6, 2, 5, 1, 4, 4, 6, 8, 5, 9, 1, 3, 7, 2, 2, 5, 1, 7, 4, 3, 8, 6, 9, 5, 7, 9, 1, 2, 4, 6, 8, 3, 8, 2, 4, 6, 3, 5, 1, 9, 7, 6, 1, 3, 9, 7, 8, 4, 2, 5],
medium,[0, 5, 0, 4, 0, 2, 6, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 7, 7, 0, 9, 6, 3, 0, 0, 0, 1, 0, 9, 7, 0, 0, 0, 0, 0, 0, 2, 1, 0, 3, 5, 7, 0, 9, 4, 0, 0, 0, 0, 0, 0, 7, 1, 0, 4, 0, 0, 0, 9, 6, 2, 0, 8, 9, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 2, 5, 0, 1, 0, 7, 0],[1, 5, 8, 4, 7, 2, 6, 3, 9, 3, 6, 4, 9, 1, 8, 5, 2, 7, 7, 2, 9, 6, 3, 5, 4, 8, 1, 5, 9, 7, 1, 8, 4, 3, 6, 2, 2, 1, 6, 3, 5, 7, 8, 9, 4, 8, 4, 3, 2, 6, 9, 7, 1, 5, 4, 3, 1, 7, 9, 6, 2, 5, 8, 9, 7, 5, 8, 2, 3, 1, 4, 6, 6, 8, 2, 5, 4, 1, 9, 7, 3],
medium,[0, 3, 0, 0, 0, 5, 2, 7, 0, 5, 0, 0, 8, 0, 4, 0, 9, 0, 0, 0, 0, 0, 3, 0, 6, 5, 8, 8, 0, 0, 0, 0, 1, 5, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 6, 2, 0, 0, 0, 0, 1, 6, 4, 1, 0, 2, 0, 0, 0, 0, 0, 8, 0, 6, 0, 9, 0, 0, 5, 0, 5, 9, 7, 0, 0, 0, 6, 0],[9, 3, 8, 1, 6, 5, 2, 7, 4, 5, 6, 2, 8, 7, 4, 1, 9, 3, 7, 1, 4, 9, 3, 2, 6, 5, 8, 8, 7, 3, 4, 9, 1, 5, 2, 6, 1, 2, 5, 3, 8, 6, 7, 4, 9, 4, 9, 6, 2, 5, 7, 8, 3, 1, 6, 4, 1, 5, 2, 3, 9, 8, 7, 2, 8, 7, 6, 4, 9, 3, 1, 5, 3, 5, 9, 7, 1, 8, 4, 6, 2],
easy,[7, 4, 8, 9, 1, 0, 0, 0, 2, 0, 0, 2, 6, 0, 0, 0, 7, 5, 3, 0, 6, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 5, 0, 7, 4, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 3, 7, 0, 2, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 8, 0, 1, 8, 2, 0, 0, 0, 4, 9, 0, 0, 9, 0, 0, 0, 8, 3, 6, 2, 4],[7, 4, 8, 9, 1, 5, 3, 6, 2, 1, 9, 2, 6, 3, 8, 4, 7, 5, 3, 5, 6, 7, 4, 2, 1, 8, 9, 2, 1, 9, 8, 5, 6, 7, 4, 3, 4, 8, 5, 3, 7, 1, 2, 9, 6, 6, 3, 7, 4, 2, 9, 5, 1, 8, 5, 6, 4, 2, 9, 7, 8, 3, 1, 8, 2, 3, 1, 6, 4, 9, 5, 7, 9, 7, 1, 5, 8, 3, 6, 2, 4],
easy,[0, 0, 6, 0, 7, 0, 2, 1, 4, 0, 3, 4, 0, 0, 0, 9, 0, 8, 2, 1, 0, 4, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0, 0, 8, 0, 5, 0, 4, 0, 2, 0, 0, 6, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 5, 0, 3, 1, 6, 0, 1, 0, 0, 0, 5, 8, 0, 5, 9, 3, 0, 1, 0, 4, 0, 0],[9, 5, 6, 8, 7, 3, 2, 1, 4, 7, 3, 4, 2, 6, 1, 9, 5, 8, 2, 1, 8, 4, 5, 9, 7, 6, 3, 4, 2, 5, 3, 8, 6, 1, 9, 7, 1, 8, 7, 5, 9, 4, 3, 2, 6, 3, 6, 9, 1, 2, 7, 8, 4, 5, 8, 7, 2, 9, 4, 5, 6, 3, 1, 6, 4, 1, 7, 3, 2, 5, 8, 9, 5, 9, 3, 6, 1, 8, 4, 7, 2],
easy,[0, 0, 0, 7, 0, 8, 1, 0, 0, 9, 2, 1, 5, 0, 0, 8, 4, 7, 3, 0, 0, 1, 0, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 0, 1, 2, 2, 0, 0, 3, 0, 7, 0, 0, 6, 7, 8, 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 1, 0, 0, 9, 1, 9, 7, 0, 0, 2, 4, 5, 8, 0, 0, 2, 9, 0, 5, 0, 0, 0],[4, 5, 6, 7, 9, 8, 1, 2, 3, 9, 2, 1, 5, 6, 3, 8, 4, 7, 3, 7, 8, 1, 2, 4, 6, 9, 5, 6, 3, 5, 4, 8, 9, 7, 1, 2, 2, 1, 4, 3, 5, 7, 9, 8, 6, 7, 8, 9, 2, 1, 6, 5, 3, 4, 5, 4, 3, 8, 7, 1, 2, 6, 9, 1, 9, 7, 6, 3, 2, 4, 5, 8, 8, 6, 2, 9, 4, 5, 3, 7, 1],
hard,[0, 9, 5, 4, 3, 0, 7, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 5, 4, 0, 2, 1, 8, 0, 4, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 1, 7, 0, 2, 5, 4, 0, 6, 9, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 1, 0, 5, 6, 3, 7, 0],[8, 9, 5, 4, 3, 1, 7, 2, 6, 1, 4, 2, 5, 6, 7, 9, 3, 8, 6, 7, 3, 8, 2, 9, 5, 4, 1, 2, 1, 8, 3, 4, 5, 6, 9, 7, 7, 5, 4, 6, 9, 2, 8, 1, 3, 9, 3, 6, 1, 7, 8, 2, 5, 4, 5, 6, 9, 7, 1, 3, 4, 8, 2, 3, 2, 7, 9, 8, 4, 1, 6, 5, 4, 8, 1, 2, 5, 6, 3, 7, 9],
easy,[5, 0, 0, 0, 0, 0, 1, 0, 8, 0, 8, 9, 3, 6, 0, 0, 0, 2, 0, 0, 2, 0, 0, 7, 0, 0, 5, 0, 0, 5, 7, 0, 0, 0, 0, 4, 0, 2, 1, 9, 0, 6, 8, 5, 0, 7, 0, 0, 0, 0, 4, 6, 0, 0, 6, 0, 0, 2, 0, 0, 5, 0, 0, 2, 0, 0, 0, 9, 8, 7, 4, 0, 8, 0, 7, 0, 0, 0, 0, 0, 6],[5, 7, 6, 4, 2, 9, 1, 3, 8, 1, 8, 9, 3, 6, 5, 4, 7, 2, 3, 4, 2, 8, 1, 7, 9, 6, 5, 9, 6, 5, 7, 8, 2, 3, 1, 4, 4, 2, 1, 9, 3, 6, 8, 5, 7, 7, 3, 8, 1, 5, 4, 6, 2, 9, 6, 9, 4, 2, 7, 1, 5, 8, 3, 2, 5, 3, 6, 9, 8, 7, 4, 1, 8, 1, 7, 5, 4, 3, 2, 9, 6],
hard,[7, 0, 0, 0, 5, 0, 0, 6, 0, 0, 1, 5, 6, 9, 4, 0, 8, 0, 0, 8, 2, 0, 7, 0, 9, 5, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 9, 6, 7, 0, 4, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 9, 0, 8, 0, 2, 1, 0, 0, 7, 0, 4, 3, 5, 8, 9, 0, 0, 6, 0, 0, 1, 0, 0, 0, 7],[7, 9, 4, 8, 5, 2, 3, 6, 1, 3, 1, 5, 6, 9, 4, 7, 8, 2, 6, 8, 2, 3, 7, 1, 9, 5, 4, 9, 5, 7, 1, 4, 8, 6, 2, 3, 1, 2, 3, 9, 6, 7, 5, 4, 8, 8, 4, 6, 5, 2, 3, 1, 7, 9, 4, 3, 9, 7, 8, 6, 2, 1, 5, 2, 7, 1, 4, 3, 5, 8, 9, 6, 5, 6, 8, 2, 1, 9, 4, 3, 7],
easy,[0, 0, 0, 4, 1, 0, 2, 3, 0, 0, 0, 0, 0, 0, 3, 9, 0, 6, 0, 4, 0, 0, 0, 0, 0, 0, 7, 0, 5, 1, 0, 8, 0, 3, 0, 2, 0, 2, 0, 9, 3, 6, 0, 5, 0, 3, 0, 7, 0, 2, 0, 8, 9, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 4, 3, 0, 0, 0, 0, 0, 0, 3, 9, 0, 4, 2, 0, 0, 0],[8, 9, 6, 4, 1, 7, 2, 3, 5, 7, 1, 2, 8, 5, 3, 9, 4, 6, 5, 4, 3, 2, 6, 9, 1, 8, 7, 9, 5, 1, 7, 8, 4, 3, 6, 2, 4, 2, 8, 9, 3, 6, 7, 5, 1, 3, 6, 7, 1, 2, 5, 8, 9, 4, 2, 7, 5, 6, 9, 8, 4, 1, 3, 6, 8, 4, 3, 7, 1, 5, 2, 9, 1, 3, 9, 5, 4, 2, 6, 7, 8],
easy,[0, 4, 0, 6, 3, 5, 8, 0, 0, 3, 0, 0, 9, 0, 0, 4, 0, 0, 9, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 1, 8, 0, 2, 0, 6, 2, 1, 8, 0, 0, 0, 9, 3, 4, 6, 0, 9, 0, 2, 4, 7, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 0, 1, 0, 0, 8, 0, 0, 1, 8, 6, 3, 0, 9, 0],[1, 4, 2, 6, 3, 5, 8, 7, 9, 3, 7, 6, 9, 1, 8, 4, 2, 5, 9, 8, 5, 4, 7, 2, 6, 1, 3, 7, 3, 4, 1, 8, 9, 2, 5, 6, 2, 1, 8, 7, 5, 6, 9, 3, 4, 6, 5, 9, 3, 2, 4, 7, 8, 1, 8, 6, 3, 5, 9, 7, 1, 4, 2, 5, 9, 7, 2, 4, 1, 3, 6, 8, 4, 2, 1, 8, 6, 3, 5, 9, 7],
easy,[0, 0, 9, 0, 2, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 1, 9, 0, 3, 0, 7, 0, 0, 8, 0, 0, 0, 8, 0, 2, 4, 3, 0, 6, 0, 4, 9, 0, 1, 0, 6, 0, 8, 5, 0, 6, 0, 5, 9, 8, 0, 7, 0, 0, 0, 8, 0, 0, 2, 0, 3, 0, 3, 4, 1, 0, 0, 0, 0, 0, 0, 6, 0, 0, 8, 3, 0, 5, 0, 0],[8, 1, 9, 3, 2, 4, 7, 5, 6, 2, 7, 4, 6, 8, 5, 3, 1, 9, 5, 3, 6, 7, 1, 9, 8, 4, 2, 7, 8, 5, 2, 4, 3, 9, 6, 1, 4, 9, 3, 1, 7, 6, 2, 8, 5, 1, 6, 2, 5, 9, 8, 4, 7, 3, 9, 5, 8, 4, 6, 2, 1, 3, 7, 3, 4, 1, 9, 5, 7, 6, 2, 8, 6, 2, 7, 8, 3, 1, 5, 9, 4],
easy,[9, 0, 5, 7, 8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 9, 7, 8, 0, 7, 0, 0, 0, 3, 1, 0, 0, 0, 0, 1, 9, 0, 6, 3, 0, 4, 0, 5, 0, 4, 0, 8, 0, 2, 0, 6, 0, 4, 2, 0, 5, 7, 0, 0, 0, 0, 7, 5, 0, 0, 0, 6, 0, 4, 3, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 0, 7],[9, 1, 5, 7, 8, 4, 2, 3, 6, 3, 4, 6, 1, 5, 2, 9, 7, 8, 8, 7, 2, 6, 9, 3, 1, 4, 5, 2, 8, 1, 9, 7, 6, 3, 5, 4, 7, 5, 3, 4, 1, 8, 6, 2, 9, 6, 9, 4, 2, 3, 5, 7, 8, 1, 1, 2, 7, 5, 4, 9, 8, 6, 3, 4, 3, 9, 8, 6, 7, 5, 1, 2, 5, 6, 8, 3, 2, 1, 4, 9, 7],
medium,[8, 2, 3, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 7, 0, 2, 0, 0, 6, 7, 2, 4, 8, 0, 1, 0, 0, 0, 0, 0, 3, 2, 0, 8, 0, 0, 0, 6, 9, 0, 4, 1, 0, 0, 0, 3, 0, 1, 8, 0, 0, 0, 0, 0, 9, 0, 8, 2, 1, 4, 6, 0, 0, 4, 0, 6, 0, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 8, 3, 1],[8, 2, 3, 5, 1, 9, 7, 4, 6, 4, 1, 9, 3, 6, 7, 5, 2, 8, 5, 6, 7, 2, 4, 8, 3, 1, 9, 9, 5, 1, 7, 3, 2, 6, 8, 4, 2, 8, 6, 9, 5, 4, 1, 7, 3, 7, 3, 4, 1, 8, 6, 9, 5, 2, 3, 9, 5, 8, 2, 1, 4, 6, 7, 1, 4, 8, 6, 7, 3, 2, 9, 5, 6, 7, 2, 4, 9, 5, 8, 3, 1],
medium,[6, 0, 7, 1, 0, 0, 2, 4, 0, 3, 0, 0, 0, 0, 6, 7, 8, 1, 0, 0, 0, 4, 0, 2, 0, 6, 0, 9, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 8, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 9, 0, 8, 0, 9, 0, 3, 0, 0, 0, 1, 7, 9, 8, 0, 0, 0, 0, 4, 0, 2, 3, 0, 0, 1, 6, 0, 8],[6, 9, 7, 1, 3, 8, 2, 4, 5, 3, 4, 2, 5, 9, 6, 7, 8, 1, 8, 1, 5, 4, 7, 2, 9, 6, 3, 9, 3, 8, 6, 1, 7, 4, 5, 2, 2, 5, 4, 3, 8, 9, 1, 7, 6, 7, 6, 1, 2, 5, 4, 8, 3, 9, 4, 8, 6, 9, 2, 3, 5, 1, 7, 1, 7, 9, 8, 6, 5, 3, 2, 4, 5, 2, 3, 7, 4, 1, 6, 9, 8],
medium,[7, 4, 0, 6, 0, 8, 0, 2, 0, 0, 1, 8, 3, 0, 7, 0, 0, 0, 6, 0, 0, 5, 4, 0, 0, 0, 0, 9, 7, 6, 0, 0, 0, 4, 5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 2, 0, 0, 0, 6, 1, 9, 0, 0, 0, 0, 5, 6, 0, 0, 2, 0, 0, 0, 2, 0, 3, 5, 9, 0, 0, 3, 0, 8, 0, 1, 0, 6, 4],[7, 4, 9, 6, 1, 8, 3, 2, 5, 5, 1, 8, 3, 2, 7, 9, 4, 6, 6, 2, 3, 5, 4, 9, 1, 8, 7, 9, 7, 6, 1, 8, 2, 4, 5, 3, 3, 5, 1, 9, 6, 4, 2, 7, 8, 4, 8, 2, 7, 3, 5, 6, 1, 9, 1, 9, 7, 4, 5, 6, 8, 3, 2, 8, 6, 4, 2, 7, 3, 5, 9, 1, 2, 3, 5, 8, 9, 1, 7, 6, 4],
medium,[4, 0, 1, 6, 0, 2, 8, 0, 5, 0, 7, 5, 0, 1, 0, 0, 0, 0, 0, 2, 0, 7, 0, 4, 0, 9, 1, 0, 0, 0, 0, 0, 3, 0, 2, 0, 2, 0, 3, 0, 0, 0, 1, 0, 7, 0, 9, 0, 8, 0, 0, 0, 0, 0, 7, 5, 0, 4, 0, 1, 0, 3, 0, 0, 0, 0, 0, 6, 0, 5, 1, 0, 8, 0, 9, 2, 0, 5, 7, 0, 6],[4, 3, 1, 6, 9, 2, 8, 7, 5, 9, 7, 5, 3, 1, 8, 2, 6, 4, 6, 2, 8, 7, 5, 4, 3, 9, 1, 5, 8, 4, 1, 7, 3, 6, 2, 9, 2, 6, 3, 5, 4, 9, 1, 8, 7, 1, 9, 7, 8, 2, 6, 4, 5, 3, 7, 5, 6, 4, 8, 1, 9, 3, 2, 3, 4, 2, 9, 6, 7, 5, 1, 8, 8, 1, 9, 2, 3, 5, 7, 4, 6],
easy,[0, 6, 5, 0, 3, 0, 0, 1, 7, 1, 7, 0, 0, 0, 0, 0, 0, 9, 0, 2, 9, 0, 7, 1, 5, 0, 8, 0, 0, 8, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 1, 0, 3, 0, 0, 6, 0, 1, 2, 8, 0, 7, 5, 0, 2, 0, 0, 0, 0, 0, 0, 4, 6, 5, 3, 0, 0, 9, 0, 2, 8, 0],[8, 6, 5, 9, 3, 2, 4, 1, 7, 1, 7, 3, 8, 4, 5, 6, 2, 9, 4, 2, 9, 6, 7, 1, 5, 3, 8, 7, 4, 8, 3, 2, 9, 1, 6, 5, 3, 1, 2, 5, 6, 7, 8, 9, 4, 9, 5, 6, 4, 1, 8, 3, 7, 2, 6, 9, 1, 2, 8, 4, 7, 5, 3, 2, 8, 7, 1, 5, 3, 9, 4, 6, 5, 3, 4, 7, 9, 6, 2, 8, 1],
medium,[4, 0, 0, 8, 0, 0, 6, 3, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 9, 6, 0, 7, 0, 0, 1, 5, 5, 1, 0, 7, 6, 0, 0, 0, 8, 2, 0, 8, 0, 0, 0, 9, 0, 6, 9, 0, 0, 0, 8, 5, 0, 4, 1, 7, 4, 0, 0, 1, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 8, 5, 0, 0, 6, 0, 0, 4],[4, 5, 2, 8, 9, 1, 6, 3, 7, 1, 3, 7, 6, 5, 4, 8, 9, 2, 8, 9, 6, 3, 7, 2, 4, 1, 5, 5, 1, 4, 7, 6, 9, 3, 2, 8, 2, 7, 8, 1, 4, 3, 9, 5, 6, 9, 6, 3, 2, 8, 5, 7, 4, 1, 7, 4, 9, 5, 1, 8, 2, 6, 3, 6, 2, 1, 4, 3, 7, 5, 8, 9, 3, 8, 5, 9, 2, 6, 1, 7, 4],
hard,[7, 0, 0, 2, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 1, 0, 3, 9, 0, 0, 0, 5, 6, 6, 4, 2, 0, 9, 3, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 7, 6, 0, 2, 4, 8, 2, 7, 0, 0, 0, 6, 3, 0, 4, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 9, 0, 0, 7],[7, 6, 4, 2, 5, 1, 8, 3, 9, 9, 5, 8, 6, 3, 4, 7, 2, 1, 1, 2, 3, 9, 7, 8, 4, 5, 6, 6, 4, 2, 8, 9, 3, 1, 7, 5, 5, 8, 7, 4, 1, 2, 9, 6, 3, 3, 9, 1, 7, 6, 5, 2, 4, 8, 2, 7, 9, 5, 8, 6, 3, 1, 4, 8, 3, 6, 1, 4, 7, 5, 9, 2, 4, 1, 5, 3, 2, 9, 6, 8, 7],
hard,[0, 0, 7, 3, 0, 9, 0, 0, 5, 0, 6, 0, 0, 0, 0, 9, 1, 0, 3, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 4, 0, 2, 0, 7, 0, 8, 7, 5, 0, 0, 9, 0, 0, 3, 2, 8, 0, 6, 0, 3, 0, 1, 0, 0, 0, 7, 0, 0, 0, 5, 0, 0, 1, 0, 8, 2, 0, 0, 0, 0, 9, 0, 4, 0, 0, 8, 0, 2, 3, 0, 0],[2, 1, 7, 3, 8, 9, 4, 6, 5, 5, 6, 8, 2, 7, 4, 9, 1, 3, 3, 4, 9, 6, 5, 1, 2, 8, 7, 9, 3, 4, 1, 2, 6, 7, 5, 8, 7, 5, 1, 4, 9, 8, 6, 3, 2, 8, 2, 6, 5, 3, 7, 1, 4, 9, 6, 7, 3, 9, 4, 5, 8, 2, 1, 1, 8, 2, 7, 6, 3, 5, 9, 4, 4, 9, 5, 8, 1, 2, 3, 7, 6],
medium,[4, 0, 0, 0, 0, 1, 3, 0, 0, 0, 1, 9, 0, 0, 5, 7, 8, 0, 0, 3, 5, 0, 6, 0, 0, 0, 0, 2, 6, 0, 0, 7, 3, 0, 0, 0, 5, 0, 4, 0, 0, 0, 8, 0, 6, 0, 0, 0, 6, 5, 0, 0, 1, 7, 0, 0, 0, 0, 3, 0, 4, 5, 0, 0, 4, 6, 5, 0, 0, 1, 9, 0, 0, 0, 8, 9, 0, 0, 0, 0, 3],[4, 8, 2, 7, 9, 1, 3, 6, 5, 6, 1, 9, 3, 2, 5, 7, 8, 4, 7, 3, 5, 4, 6, 8, 9, 2, 1, 2, 6, 1, 8, 7, 3, 5, 4, 9, 5, 7, 4, 2, 1, 9, 8, 3, 6, 8, 9, 3, 6, 5, 4, 2, 1, 7, 9, 2, 7, 1, 3, 6, 4, 5, 8, 3, 4, 6, 5, 8, 7, 1, 9, 2, 1, 5, 8, 9, 4, 2, 6, 7, 3],
easy,[5, 0, 4, 7, 0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0, 0, 8, 1, 0, 0, 2, 9, 0, 0, 0, 0, 8, 0, 0, 0, 0, 1, 2, 0, 7, 0, 0, 0, 0, 0, 4, 0, 9, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 5, 0, 0, 8, 6, 0, 0, 3, 9, 0, 4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 1, 4, 0, 7],[5, 2, 4, 7, 9, 3, 1, 8, 6, 7, 9, 6, 8, 1, 5, 3, 2, 4, 3, 8, 1, 4, 6, 2, 9, 7, 5, 6, 5, 8, 9, 3, 4, 7, 1, 2, 1, 7, 3, 2, 5, 8, 6, 4, 9, 9, 4, 2, 1, 7, 6, 5, 3, 8, 4, 1, 7, 5, 2, 9, 8, 6, 3, 8, 3, 9, 6, 4, 7, 2, 5, 1, 2, 6, 5, 3, 8, 1, 4, 9, 7],
hard,[0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 9, 0, 7, 0, 0, 8, 0, 0, 0, 4, 6, 5, 1, 9, 0, 1, 0, 0, 0, 0, 0, 2, 7, 0, 6, 2, 0, 3, 5, 1, 0, 8, 4, 0, 9, 5, 0, 0, 0, 0, 0, 3, 0, 1, 6, 8, 4, 3, 0, 0, 0, 2, 0, 0, 5, 0, 6, 0, 0, 0, 0, 8, 0, 0, 7, 0, 0, 0, 0],[9, 5, 1, 2, 3, 8, 4, 6, 7, 4, 6, 2, 9, 1, 7, 3, 5, 8, 7, 3, 8, 4, 6, 5, 1, 9, 2, 1, 4, 3, 6, 8, 9, 2, 7, 5, 6, 2, 7, 3, 5, 1, 9, 8, 4, 8, 9, 5, 7, 2, 4, 6, 1, 3, 5, 1, 6, 8, 4, 3, 7, 2, 9, 2, 7, 4, 5, 9, 6, 8, 3, 1, 3, 8, 9, 1, 7, 2, 5, 4, 6],
medium,[0, 0, 1, 8, 2, 4, 3, 9, 0, 0, 2, 9, 0, 6, 0, 1, 5, 0, 0, 0, 4, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 8, 6, 4, 2, 5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 4, 0, 0, 0, 5, 3, 0, 1, 0, 7, 2, 0, 0, 1, 2, 9, 7, 8, 6, 0, 0],[5, 6, 1, 8, 2, 4, 3, 9, 7, 8, 2, 9, 3, 6, 7, 1, 5, 4, 3, 7, 4, 5, 9, 1, 2, 8, 6, 7, 4, 5, 1, 8, 3, 9, 6, 2, 1, 9, 8, 6, 4, 2, 5, 7, 3, 2, 3, 6, 7, 5, 9, 8, 4, 1, 6, 8, 7, 2, 3, 5, 4, 1, 9, 9, 5, 3, 4, 1, 6, 7, 2, 8, 4, 1, 2, 9, 7, 8, 6, 3, 5],
hard,[0, 5, 0, 1, 7, 0, 4, 8, 0, 4, 2, 8, 0, 6, 3, 0, 0, 9, 1, 9, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 4, 0, 0, 6, 7, 2, 0, 0, 7, 9, 0, 8, 3, 5, 0, 1, 3, 0, 5, 8, 0, 9, 0],[3, 5, 6, 1, 7, 9, 4, 8, 2, 4, 2, 8, 5, 6, 3, 7, 1, 9, 1, 9, 7, 2, 8, 4, 6, 5, 3, 8, 3, 9, 4, 1, 7, 5, 2, 6, 5, 4, 1, 9, 2, 6, 3, 7, 8, 6, 7, 2, 8, 3, 5, 9, 4, 1, 9, 8, 5, 3, 4, 2, 1, 6, 7, 2, 6, 4, 7, 9, 1, 8, 3, 5, 7, 1, 3, 6, 5, 8, 2, 9, 4],
easy,[0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 0, 0, 8, 1, 3, 0, 4, 9, 0, 0, 0, 4, 0, 2, 7, 0, 0, 0, 0, 8, 0, 0, 0, 0, 2, 5, 3, 0, 1, 9, 2, 8, 4, 0, 7, 6, 7, 0, 0, 0, 0, 9, 0, 0, 0, 0, 3, 6, 0, 5, 0, 0, 0, 5, 9, 0, 2, 4, 1, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0],[1, 2, 4, 7, 6, 9, 8, 5, 3, 7, 6, 5, 8, 1, 3, 2, 4, 9, 8, 3, 9, 4, 5, 2, 7, 1, 6, 9, 4, 8, 1, 7, 6, 3, 2, 5, 3, 5, 1, 9, 2, 8, 4, 6, 7, 6, 7, 2, 5, 3, 4, 9, 8, 1, 2, 8, 3, 6, 9, 5, 1, 7, 4, 5, 9, 7, 2, 4, 1, 6, 3, 8, 4, 1, 6, 3, 8, 7, 5, 9, 2],
medium,[0, 0, 0, 4, 2, 9, 3, 0, 6, 0, 3, 6, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 5, 0, 2, 0, 0, 0, 3, 8, 2, 9, 0, 4, 0, 4, 0, 6, 0, 7, 0, 2, 0, 8, 0, 5, 1, 9, 4, 0, 0, 0, 9, 0, 4, 2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 8, 0, 7, 0, 2, 5, 6, 3, 0, 0, 0],[1, 5, 8, 4, 2, 9, 3, 7, 6, 2, 3, 6, 7, 1, 5, 8, 4, 9, 4, 9, 7, 8, 3, 6, 5, 1, 2, 6, 7, 1, 3, 8, 2, 9, 5, 4, 3, 4, 9, 6, 5, 7, 1, 2, 8, 8, 2, 5, 1, 9, 4, 7, 6, 3, 9, 1, 4, 2, 7, 8, 6, 3, 5, 5, 6, 3, 9, 4, 1, 2, 8, 7, 7, 8, 2, 5, 6, 3, 4, 9, 1],
easy,[0, 0, 5, 2, 0, 0, 0, 6, 0, 6, 0, 0, 7, 3, 5, 2, 0, 8, 3, 8, 0, 0, 4, 6, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 9, 1, 3, 0, 2, 8, 4, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 6, 0, 0, 2, 7, 9, 0, 6, 8, 7, 1, 0, 0, 4, 0, 3, 0, 0, 0, 9, 6, 0, 0],[1, 7, 5, 2, 9, 8, 4, 6, 3, 6, 4, 9, 7, 3, 5, 2, 1, 8, 3, 8, 2, 1, 4, 6, 7, 9, 5, 8, 6, 4, 9, 1, 7, 5, 3, 2, 7, 9, 1, 3, 5, 2, 8, 4, 6, 2, 5, 3, 6, 8, 4, 1, 7, 9, 4, 1, 8, 5, 6, 3, 9, 2, 7, 9, 2, 6, 8, 7, 1, 3, 5, 4, 5, 3, 7, 4, 2, 9, 6, 8, 1],
easy,[0, 6, 0, 9, 0, 4, 0, 0, 7, 5, 4, 8, 2, 0, 0, 0, 0, 0, 2, 0, 9, 0, 0, 0, 1, 0, 4, 0, 1, 4, 0, 9, 0, 0, 3, 2, 0, 0, 0, 8, 0, 3, 0, 0, 0, 8, 9, 0, 0, 1, 0, 5, 7, 0, 1, 0, 2, 0, 0, 0, 7, 0, 9, 0, 0, 0, 0, 0, 6, 4, 2, 5, 4, 0, 0, 7, 0, 9, 0, 1, 0],[3, 6, 1, 9, 5, 4, 2, 8, 7, 5, 4, 8, 2, 7, 1, 6, 9, 3, 2, 7, 9, 6, 3, 8, 1, 5, 4, 6, 1, 4, 5, 9, 7, 8, 3, 2, 7, 2, 5, 8, 6, 3, 9, 4, 1, 8, 9, 3, 4, 1, 2, 5, 7, 6, 1, 8, 2, 3, 4, 5, 7, 6, 9, 9, 3, 7, 1, 8, 6, 4, 2, 5, 4, 5, 6, 7, 2, 9, 3, 1, 8],
hard,[0, 4, 0, 6, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 6, 0, 8, 4, 0, 9, 0, 0, 4, 1, 0, 0, 0, 5, 7, 0, 8, 0, 5, 0, 2, 6, 8, 0, 4, 0, 8, 0, 6, 1, 0, 0, 0, 3, 5, 0, 0, 4, 0, 8, 1, 0, 9, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 3, 6, 0, 1, 0],[5, 4, 9, 6, 1, 7, 8, 2, 3, 2, 8, 1, 9, 5, 3, 6, 7, 4, 3, 6, 7, 8, 4, 2, 9, 5, 1, 4, 1, 2, 3, 9, 5, 7, 6, 8, 7, 5, 3, 2, 6, 8, 1, 4, 9, 8, 9, 6, 1, 7, 4, 2, 3, 5, 6, 3, 4, 7, 8, 1, 5, 9, 2, 1, 7, 5, 4, 2, 9, 3, 8, 6, 9, 2, 8, 5, 3, 6, 4, 1, 7],
hard,[1, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 9, 0, 5, 0, 0, 2, 7, 0, 2, 8, 0, 3, 6, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 8, 0, 6, 2, 7, 0, 4, 0, 2, 9, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 3, 9, 0, 7, 6, 0, 8, 6, 0, 0, 1, 0, 4, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 2],[1, 5, 3, 2, 7, 9, 6, 8, 4, 6, 4, 9, 8, 5, 1, 3, 2, 7, 7, 2, 8, 4, 3, 6, 5, 9, 1, 4, 7, 5, 9, 8, 3, 2, 1, 6, 3, 8, 1, 6, 2, 7, 9, 4, 5, 2, 9, 6, 1, 4, 5, 8, 7, 3, 5, 1, 2, 3, 9, 4, 7, 6, 8, 8, 6, 7, 5, 1, 2, 4, 3, 9, 9, 3, 4, 7, 6, 8, 1, 5, 2],
hard,[9, 0, 1, 0, 7, 0, 6, 0, 5, 4, 0, 0, 0, 9, 0, 0, 7, 0, 5, 0, 0, 3, 1, 4, 9, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 7, 4, 1, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, 1, 0, 5, 9, 8, 3, 0, 0, 7, 0, 7, 0, 0, 2, 0, 0, 0, 4, 2, 0, 6, 0, 5, 0, 1, 0, 8],[9, 3, 1, 2, 7, 8, 6, 4, 5, 4, 2, 8, 6, 9, 5, 3, 7, 1, 5, 6, 7, 3, 1, 4, 9, 8, 2, 6, 8, 4, 5, 3, 2, 7, 1, 9, 3, 5, 9, 7, 4, 1, 8, 2, 6, 7, 1, 2, 8, 6, 9, 4, 5, 3, 1, 4, 5, 9, 8, 3, 2, 6, 7, 8, 7, 3, 1, 2, 6, 5, 9, 4, 2, 9, 6, 4, 5, 7, 1, 3, 8],
hard,[4, 9, 0, 3, 0, 0, 7, 0, 0, 6, 8, 7, 0, 0, 0, 0, 1, 2, 3, 1, 0, 0, 0, 8, 0, 0, 0, 9, 0, 3, 0, 8, 0, 5, 0, 0, 0, 0, 0, 9, 0, 7, 0, 0, 0, 0, 0, 1, 0, 4, 0, 9, 0, 7, 0, 0, 0, 2, 0, 0, 0, 7, 9, 2, 3, 0, 0, 0, 0, 1, 5, 6, 0, 0, 8, 0, 0, 9, 0, 2, 3],[4, 9, 2, 3, 6, 1, 7, 8, 5, 6, 8, 7, 4, 9, 5, 3, 1, 2, 3, 1, 5, 7, 2, 8, 6, 9, 4, 9, 7, 3, 6, 8, 2, 5, 4, 1, 5, 4, 6, 9, 1, 7, 2, 3, 8, 8, 2, 1, 5, 4, 3, 9, 6, 7, 1, 5, 4, 2, 3, 6, 8, 7, 9, 2, 3, 9, 8, 7, 4, 1, 5, 6, 7, 6, 8, 1, 5, 9, 4, 2, 3],
medium,[4, 0, 0, 0, 0, 7, 0, 9, 0, 9, 6, 0, 0, 5, 0, 0, 7, 1, 0, 0, 8, 6, 0, 3, 4, 5, 0, 0, 4, 0, 0, 0, 2, 0, 8, 0, 6, 8, 0, 0, 0, 0, 0, 3, 4, 0, 5, 0, 4, 0, 0, 0, 6, 0, 0, 1, 7, 8, 0, 9, 6, 0, 0, 2, 3, 0, 0, 1, 0, 0, 4, 8, 0, 9, 0, 3, 0, 0, 0, 0, 7],[4, 2, 5, 1, 8, 7, 3, 9, 6, 9, 6, 3, 2, 5, 4, 8, 7, 1, 1, 7, 8, 6, 9, 3, 4, 5, 2, 3, 4, 1, 9, 6, 2, 7, 8, 5, 6, 8, 9, 5, 7, 1, 2, 3, 4, 7, 5, 2, 4, 3, 8, 1, 6, 9, 5, 1, 7, 8, 4, 9, 6, 2, 3, 2, 3, 6, 7, 1, 5, 9, 4, 8, 8, 9, 4, 3, 2, 6, 5, 1, 7],
medium,[0, 0, 3, 0, 1, 0, 6, 8, 0, 8, 0, 0, 0, 0, 5, 0, 9, 4, 0, 9, 0, 7, 4, 0, 3, 0, 0, 4, 1, 0, 0, 2, 3, 0, 0, 0, 0, 7, 9, 0, 0, 0, 5, 1, 0, 0, 0, 0, 9, 7, 0, 0, 3, 8, 0, 0, 7, 0, 5, 2, 0, 4, 0, 9, 3, 0, 1, 0, 0, 0, 0, 7, 0, 5, 4, 0, 9, 0, 2, 0, 0],[7, 4, 3, 2, 1, 9, 6, 8, 5, 8, 2, 1, 6, 3, 5, 7, 9, 4, 5, 9, 6, 7, 4, 8, 3, 2, 1, 4, 1, 8, 5, 2, 3, 9, 7, 6, 3, 7, 9, 4, 8, 6, 5, 1, 2, 2, 6, 5, 9, 7, 1, 4, 3, 8, 6, 8, 7, 3, 5, 2, 1, 4, 9, 9, 3, 2, 1, 6, 4, 8, 5, 7, 1, 5, 4, 8, 9, 7, 2, 6, 3],
medium,[2, 0, 1, 3, 4, 8, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 0, 2, 3, 8, 0, 0, 0, 0, 4, 7, 0, 8, 0, 0, 0, 3, 0, 6, 0, 0, 5, 4, 7, 0, 0, 0, 2, 3, 9, 0, 0, 6, 0, 2, 0, 0, 0, 7, 0, 6, 8, 0, 0, 0, 0, 4, 5, 7, 0, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, 9, 5, 6, 7, 0, 8],[2, 7, 1, 3, 4, 8, 5, 9, 6, 6, 5, 4, 1, 9, 7, 3, 8, 2, 3, 8, 9, 5, 6, 2, 4, 7, 1, 8, 9, 2, 7, 3, 5, 6, 1, 4, 5, 4, 7, 6, 8, 1, 2, 3, 9, 1, 3, 6, 4, 2, 9, 8, 5, 7, 9, 6, 8, 2, 7, 3, 1, 4, 5, 7, 2, 5, 8, 1, 4, 9, 6, 3, 4, 1, 3, 9, 5, 6, 7, 2, 8],
easy,[4, 0, 0, 8, 0, 0, 1, 0, 0, 7, 0, 2, 0, 6, 1, 0, 4, 0, 9, 6, 0, 4, 3, 0, 8, 0, 0, 0, 0, 0, 7, 8, 4, 0, 3, 0, 0, 0, 0, 9, 0, 6, 0, 0, 0, 0, 4, 0, 2, 1, 3, 0, 0, 0, 0, 0, 4, 0, 7, 5, 0, 8, 3, 0, 3, 0, 1, 4, 0, 6, 0, 2, 0, 0, 6, 0, 0, 2, 0, 0, 1],[4, 5, 3, 8, 2, 9, 1, 6, 7, 7, 8, 2, 5, 6, 1, 3, 4, 9, 9, 6, 1, 4, 3, 7, 8, 2, 5, 1, 9, 5, 7, 8, 4, 2, 3, 6, 3, 2, 8, 9, 5, 6, 7, 1, 4, 6, 4, 7, 2, 1, 3, 5, 9, 8, 2, 1, 4, 6, 7, 5, 9, 8, 3, 5, 3, 9, 1, 4, 8, 6, 7, 2, 8, 7, 6, 3, 9, 2, 4, 5, 1],
easy,[0, 4, 8, 0, 5, 0, 0, 0, 0, 9, 6, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 8, 9, 2, 0, 0, 6, 0, 0, 1, 6, 8, 9, 0, 0, 7, 0, 0, 7, 1, 0, 4, 6, 0, 0, 2, 0, 0, 7, 3, 5, 9, 0, 0, 6, 0, 0, 9, 4, 8, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 3, 9, 0, 0, 0, 0, 1, 0, 8, 6, 0],[7, 4, 8, 3, 5, 6, 1, 9, 2, 9, 6, 2, 4, 7, 1, 5, 8, 3, 1, 3, 5, 8, 9, 2, 4, 7, 6, 4, 5, 1, 6, 8, 9, 3, 2, 7, 3, 9, 7, 1, 2, 4, 6, 5, 8, 2, 8, 6, 7, 3, 5, 9, 4, 1, 6, 2, 3, 9, 4, 8, 7, 1, 5, 8, 1, 4, 5, 6, 7, 2, 3, 9, 5, 7, 9, 2, 1, 3, 8, 6, 4],
easy,[0, 8, 0, 0, 5, 0, 4, 0, 0, 5, 7, 0, 0, 0, 0, 3, 0, 0, 9, 1, 2, 4, 0, 7, 0, 0, 5, 0, 2, 0, 3, 9, 5, 0, 0, 0, 0, 0, 3, 0, 6, 0, 9, 0, 0, 0, 0, 0, 8, 1, 2, 0, 3, 0, 7, 0, 0, 1, 0, 3, 8, 6, 4, 0, 0, 8, 0, 0, 0, 0, 1, 9, 0, 0, 1, 0, 4, 0, 0, 5, 0],[3, 8, 6, 2, 5, 9, 4, 7, 1, 5, 7, 4, 6, 8, 1, 3, 9, 2, 9, 1, 2, 4, 3, 7, 6, 8, 5, 8, 2, 7, 3, 9, 5, 1, 4, 6, 1, 5, 3, 7, 6, 4, 9, 2, 8, 6, 4, 9, 8, 1, 2, 5, 3, 7, 7, 9, 5, 1, 2, 3, 8, 6, 4, 4, 3, 8, 5, 7, 6, 2, 1, 9, 2, 6, 1, 9, 4, 8, 7, 5, 3],
medium,[9, 0, 0, 7, 6, 3, 0, 1, 0, 0, 3, 0, 4, 0, 0, 0, 9, 8, 0, 2, 1, 0, 8, 0, 0, 0, 7, 8, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 2, 0, 0, 0, 3, 0, 7, 6, 0, 5, 4, 0, 0, 0, 9, 0, 2, 0, 0, 7, 0, 8, 2, 4, 0, 0, 9],[9, 8, 4, 7, 6, 3, 2, 1, 5, 7, 3, 5, 4, 1, 2, 6, 9, 8, 6, 2, 1, 9, 8, 5, 4, 3, 7, 8, 5, 2, 1, 4, 6, 9, 7, 3, 3, 1, 7, 2, 9, 8, 5, 4, 6, 4, 6, 9, 3, 5, 7, 1, 8, 2, 2, 9, 8, 5, 3, 1, 7, 6, 4, 5, 4, 3, 6, 7, 9, 8, 2, 1, 1, 7, 6, 8, 2, 4, 3, 5, 9],
hard,[0, 7, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 7, 0, 9, 0, 0, 9, 0, 2, 3, 0, 6, 1, 0, 1, 0, 0, 7, 0, 9, 3, 0, 5, 7, 3, 0, 0, 4, 0, 0, 2, 1, 6, 0, 8, 3, 0, 2, 0, 0, 9, 0, 8, 6, 0, 2, 3, 0, 7, 0, 0, 1, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 5, 0],[4, 7, 1, 6, 9, 8, 5, 3, 2, 2, 6, 3, 1, 5, 7, 4, 9, 8, 8, 9, 5, 2, 3, 4, 6, 1, 7, 1, 2, 4, 7, 8, 9, 3, 6, 5, 7, 3, 9, 5, 4, 6, 8, 2, 1, 6, 5, 8, 3, 1, 2, 7, 4, 9, 5, 8, 6, 9, 2, 3, 1, 7, 4, 3, 1, 2, 4, 7, 5, 9, 8, 6, 9, 4, 7, 8, 6, 1, 2, 5, 3],
hard,[0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 9, 0, 0, 8, 5, 0, 1, 0, 0, 2, 3, 0, 0, 9, 6, 0, 4, 3, 0, 8, 6, 5, 0, 7, 0, 0, 0, 6, 9, 0, 3, 0, 1, 2, 0, 0, 0, 7, 0, 4, 1, 3, 0, 8, 1, 0, 2, 5, 0, 0, 4, 7, 0, 0, 3, 0, 1, 6, 0, 0, 9, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0],[8, 7, 1, 4, 2, 6, 9, 5, 3, 6, 9, 4, 3, 8, 5, 2, 1, 7, 5, 2, 3, 7, 1, 9, 6, 8, 4, 3, 1, 8, 6, 5, 2, 7, 4, 9, 4, 6, 9, 8, 3, 7, 1, 2, 5, 2, 5, 7, 9, 4, 1, 3, 6, 8, 1, 8, 2, 5, 9, 3, 4, 7, 6, 7, 3, 5, 1, 6, 4, 8, 9, 2, 9, 4, 6, 2, 7, 8, 5, 3, 1],
hard,[3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 5, 0, 0, 6, 0, 0, 0, 0, 0, 7, 8, 5, 4, 1, 0, 0, 0, 0, 9, 2, 0, 0, 0, 0, 0, 1, 8, 3, 0, 1, 2, 7, 0, 5, 4, 7, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 4, 8, 2, 7, 9, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 0, 0, 9, 0, 6, 0, 0, 5],[3, 6, 4, 2, 9, 8, 5, 1, 7, 1, 5, 9, 7, 6, 3, 2, 4, 8, 2, 7, 8, 5, 4, 1, 6, 3, 9, 5, 9, 2, 6, 3, 4, 8, 7, 1, 8, 3, 6, 1, 2, 7, 9, 5, 4, 7, 4, 1, 8, 5, 9, 3, 6, 2, 6, 1, 5, 4, 8, 2, 7, 9, 3, 9, 2, 7, 3, 1, 5, 4, 8, 6, 4, 8, 3, 9, 7, 6, 1, 2, 5],
hard,[0, 0, 2, 0, 7, 5, 9, 0, 3, 0, 3, 4, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 2, 6, 0, 7, 0, 0, 3, 0, 4, 0, 0, 7, 9, 9, 0, 0, 5, 0, 1, 0, 0, 2, 6, 8, 0, 0, 9, 0, 3, 0, 0, 4, 0, 8, 7, 0, 0, 0, 9, 0, 0, 0, 0, 6, 0, 0, 7, 2, 0, 5, 0, 6, 9, 2, 0, 4, 0, 0],[8, 6, 2, 4, 7, 5, 9, 1, 3, 7, 3, 4, 1, 6, 9, 2, 8, 5, 1, 9, 5, 3, 8, 2, 6, 4, 7, 2, 5, 3, 8, 4, 6, 1, 7, 9, 9, 4, 7, 5, 3, 1, 8, 6, 2, 6, 8, 1, 2, 9, 7, 3, 5, 4, 4, 2, 8, 7, 1, 3, 5, 9, 6, 3, 1, 9, 6, 5, 4, 7, 2, 8, 5, 7, 6, 9, 2, 8, 4, 3, 1],
easy,[0, 0, 6, 0, 4, 0, 9, 0, 2, 7, 0, 0, 0, 2, 5, 0, 1, 0, 0, 2, 0, 0, 0, 0, 7, 0, 5, 0, 0, 5, 6, 0, 1, 4, 7, 8, 0, 0, 7, 0, 0, 0, 1, 0, 0, 1, 6, 3, 4, 0, 7, 2, 0, 0, 6, 0, 2, 0, 0, 0, 0, 9, 0, 0, 7, 0, 3, 5, 0, 0, 0, 1, 8, 0, 1, 0, 7, 0, 3, 0, 0],[5, 1, 6, 7, 4, 3, 9, 8, 2, 7, 4, 8, 9, 2, 5, 6, 1, 3, 3, 2, 9, 1, 6, 8, 7, 4, 5, 2, 9, 5, 6, 3, 1, 4, 7, 8, 4, 8, 7, 5, 9, 2, 1, 3, 6, 1, 6, 3, 4, 8, 7, 2, 5, 9, 6, 3, 2, 8, 1, 4, 5, 9, 7, 9, 7, 4, 3, 5, 6, 8, 2, 1, 8, 5, 1, 2, 7, 9, 3, 6, 4],
easy,[0, 0, 0, 0, 0, 3, 9, 0, 8, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 9, 7, 2, 0, 4, 1, 0, 3, 3, 4, 0, 0, 2, 9, 0, 0, 5, 9, 0, 0, 0, 8, 0, 0, 0, 1, 6, 0, 0, 3, 1, 0, 0, 2, 9, 7, 0, 3, 8, 0, 2, 5, 9, 0, 0, 0, 9, 0, 0, 0, 2, 0, 0, 2, 0, 6, 5, 0, 0, 0, 0, 0],[5, 6, 2, 1, 7, 3, 9, 4, 8, 1, 3, 4, 9, 5, 8, 6, 7, 2, 8, 9, 7, 2, 6, 4, 1, 5, 3, 3, 4, 1, 7, 2, 9, 8, 6, 5, 9, 2, 5, 4, 8, 6, 7, 3, 1, 6, 7, 8, 3, 1, 5, 4, 2, 9, 7, 1, 3, 8, 4, 2, 5, 9, 6, 4, 5, 9, 6, 3, 1, 2, 8, 7, 2, 8, 6, 5, 9, 7, 3, 1, 4],
hard,[7, 2, 0, 0, 5, 3, 0, 0, 9, 0, 0, 0, 9, 0, 1, 0, 7, 0, 5, 0, 0, 6, 0, 2, 0, 8, 0, 0, 4, 0, 0, 0, 0, 5, 1, 2, 1, 0, 0, 2, 0, 5, 0, 0, 7, 3, 5, 2, 0, 0, 0, 0, 9, 0, 0, 1, 0, 4, 0, 6, 0, 0, 3, 0, 8, 0, 5, 0, 7, 0, 0, 0, 4, 0, 0, 1, 3, 0, 0, 2, 6],[7, 2, 4, 8, 5, 3, 1, 6, 9, 8, 3, 6, 9, 4, 1, 2, 7, 5, 5, 9, 1, 6, 7, 2, 3, 8, 4, 9, 4, 7, 3, 6, 8, 5, 1, 2, 1, 6, 8, 2, 9, 5, 4, 3, 7, 3, 5, 2, 7, 1, 4, 6, 9, 8, 2, 1, 9, 4, 8, 6, 7, 5, 3, 6, 8, 3, 5, 2, 7, 9, 4, 1, 4, 7, 5, 1, 3, 9, 8, 2, 6],
easy,[0, 0, 2, 5, 0, 0, 0, 0, 1, 0, 4, 0, 6, 0, 8, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 6, 8, 0, 2, 0, 0, 4, 0, 8, 3, 0, 4, 0, 6, 0, 7, 0, 1, 0, 5, 0, 1, 8, 0, 6, 0, 0, 9, 0, 2, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 7, 0, 4, 0, 1, 0, 8, 0, 0, 0, 0, 3, 4, 0, 0],[6, 8, 2, 5, 9, 7, 3, 4, 1, 1, 4, 3, 6, 2, 8, 9, 5, 7, 7, 5, 9, 4, 3, 1, 2, 6, 8, 9, 2, 7, 1, 4, 5, 8, 3, 6, 4, 3, 6, 8, 7, 9, 1, 2, 5, 5, 1, 8, 3, 6, 2, 7, 9, 4, 2, 7, 4, 9, 1, 6, 5, 8, 3, 3, 9, 5, 7, 8, 4, 6, 1, 2, 8, 6, 1, 2, 5, 3, 4, 7, 9],
easy,[0, 2, 0, 6, 0, 0, 7, 0, 8, 0, 1, 0, 0, 0, 0, 9, 0, 2, 0, 0, 7, 0, 8, 0, 0, 3, 0, 4, 0, 0, 7, 0, 9, 2, 0, 3, 9, 0, 2, 0, 3, 0, 8, 0, 4, 6, 0, 1, 8, 0, 4, 0, 0, 7, 0, 9, 0, 0, 6, 0, 1, 0, 0, 2, 0, 5, 0, 0, 0, 0, 8, 0, 1, 0, 3, 0, 0, 5, 0, 7, 0],[3, 2, 9, 6, 5, 1, 7, 4, 8, 8, 1, 6, 4, 7, 3, 9, 5, 2, 5, 4, 7, 9, 8, 2, 6, 3, 1, 4, 5, 8, 7, 1, 9, 2, 6, 3, 9, 7, 2, 5, 3, 6, 8, 1, 4, 6, 3, 1, 8, 2, 4, 5, 9, 7, 7, 9, 4, 3, 6, 8, 1, 2, 5, 2, 6, 5, 1, 4, 7, 3, 8, 9, 1, 8, 3, 2, 9, 5, 4, 7, 6],
medium,[0, 8, 2, 5, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 7, 0, 1, 9, 4, 0, 0, 0, 0, 3, 0, 4, 1, 6, 3, 7, 0, 9, 0, 0, 3, 0, 2, 0, 5, 0, 1, 0, 0, 7, 0, 9, 8, 1, 3, 2, 0, 1, 0, 0, 0, 0, 2, 4, 7, 0, 5, 0, 0, 0, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 1, 3, 0],[4, 8, 2, 5, 7, 3, 9, 6, 1, 3, 5, 6, 1, 9, 8, 2, 4, 7, 7, 1, 9, 4, 2, 6, 8, 5, 3, 2, 4, 1, 6, 3, 7, 5, 9, 8, 9, 3, 8, 2, 4, 5, 7, 1, 6, 6, 7, 5, 9, 8, 1, 3, 2, 4, 1, 9, 3, 8, 6, 2, 4, 7, 5, 5, 2, 7, 3, 1, 4, 6, 8, 9, 8, 6, 4, 7, 5, 9, 1, 3, 2],
hard,[0, 0, 4, 7, 0, 0, 0, 3, 0, 3, 6, 0, 0, 8, 0, 7, 9, 0, 9, 0, 0, 4, 0, 0, 8, 5, 6, 0, 0, 0, 0, 7, 6, 2, 0, 5, 0, 0, 0, 9, 0, 3, 0, 0, 0, 6, 0, 7, 5, 2, 0, 0, 0, 0, 1, 3, 6, 0, 0, 7, 0, 0, 8, 0, 4, 9, 0, 5, 0, 0, 2, 1, 0, 8, 0, 0, 0, 1, 9, 0, 0],[8, 5, 4, 7, 6, 9, 1, 3, 2, 3, 6, 2, 1, 8, 5, 7, 9, 4, 9, 7, 1, 4, 3, 2, 8, 5, 6, 4, 9, 3, 8, 7, 6, 2, 1, 5, 5, 2, 8, 9, 1, 3, 4, 6, 7, 6, 1, 7, 5, 2, 4, 3, 8, 9, 1, 3, 6, 2, 9, 7, 5, 4, 8, 7, 4, 9, 3, 5, 8, 6, 2, 1, 2, 8, 5, 6, 4, 1, 9, 7, 3],
medium,[1, 0, 0, 0, 6, 3, 9, 0, 0, 4, 0, 0, 2, 0, 0, 0, 5, 3, 0, 0, 0, 8, 9, 5, 2, 0, 1, 3, 7, 0, 0, 5, 0, 0, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 9, 0, 0, 7, 0, 0, 2, 4, 9, 0, 3, 1, 2, 8, 0, 0, 0, 7, 4, 0, 0, 0, 9, 0, 0, 6, 0, 0, 8, 7, 4, 0, 0, 0, 2],[1, 2, 5, 4, 6, 3, 9, 8, 7, 4, 8, 9, 2, 1, 7, 6, 5, 3, 6, 3, 7, 8, 9, 5, 2, 4, 1, 3, 7, 4, 9, 5, 2, 1, 6, 8, 2, 5, 1, 6, 8, 4, 7, 3, 9, 8, 9, 6, 3, 7, 1, 5, 2, 4, 9, 6, 3, 1, 2, 8, 4, 7, 5, 7, 4, 2, 5, 3, 9, 8, 1, 6, 5, 1, 8, 7, 4, 6, 3, 9, 2],
easy,[0, 0, 0, 0, 0, 9, 8, 0, 4, 0, 1, 9, 8, 3, 0, 0, 0, 0, 0, 6, 0, 0, 1, 2, 3, 0, 5, 9, 7, 0, 0, 0, 0, 5, 8, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 4, 3, 0, 0, 0, 0, 6, 7, 2, 0, 8, 3, 6, 0, 0, 4, 0, 0, 0, 0, 0, 8, 4, 7, 3, 0, 7, 0, 4, 2, 0, 0, 0, 0, 0],[3, 2, 5, 6, 7, 9, 8, 1, 4, 4, 1, 9, 8, 3, 5, 2, 7, 6, 8, 6, 7, 4, 1, 2, 3, 9, 5, 9, 7, 2, 1, 4, 6, 5, 8, 3, 6, 8, 1, 7, 5, 3, 4, 2, 9, 5, 4, 3, 9, 2, 8, 1, 6, 7, 2, 5, 8, 3, 6, 7, 9, 4, 1, 1, 9, 6, 5, 8, 4, 7, 3, 2, 7, 3, 4, 2, 9, 1, 6, 5, 8],
medium,[0, 0, 0, 0, 0, 0, 9, 1, 8, 5, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 8, 0, 0, 0, 5, 0, 0, 0, 7, 2, 1, 9, 0, 8, 3, 0, 9, 8, 7, 0, 3, 5, 6, 0, 2, 4, 0, 6, 5, 8, 7, 0, 0, 0, 3, 0, 0, 0, 6, 8, 0, 0, 0, 0, 5, 0, 0, 0, 0, 3, 7, 7, 6, 2, 0, 0, 0, 0, 0, 0],[3, 2, 4, 5, 6, 7, 9, 1, 8, 5, 8, 1, 9, 3, 4, 2, 7, 6, 9, 7, 6, 8, 2, 1, 3, 5, 4, 6, 5, 7, 2, 1, 9, 4, 8, 3, 1, 9, 8, 7, 4, 3, 5, 6, 2, 2, 4, 3, 6, 5, 8, 7, 9, 1, 4, 3, 9, 1, 7, 6, 8, 2, 5, 8, 1, 5, 4, 9, 2, 6, 3, 7, 7, 6, 2, 3, 8, 5, 1, 4, 9],
medium,[1, 0, 0, 9, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 5, 9, 6, 0, 0, 0, 7, 3, 0, 0, 6, 1, 0, 4, 8, 3, 0, 0, 1, 3, 0, 7, 0, 4, 2, 0, 0, 4, 2, 3, 0, 6, 9, 0, 0, 4, 7, 0, 0, 0, 1, 5, 6, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 9, 7, 0, 0, 8],[1, 6, 7, 9, 5, 3, 2, 8, 4, 3, 8, 4, 7, 1, 2, 6, 9, 5, 2, 5, 9, 6, 4, 8, 1, 7, 3, 5, 9, 6, 1, 2, 4, 8, 3, 7, 8, 1, 3, 5, 7, 9, 4, 2, 6, 7, 4, 2, 3, 8, 6, 9, 5, 1, 4, 7, 8, 2, 3, 1, 5, 6, 9, 9, 3, 1, 8, 6, 5, 7, 4, 2, 6, 2, 5, 4, 9, 7, 3, 1, 8],
hard,[7, 3, 0, 0, 4, 5, 9, 6, 0, 0, 6, 8, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 8, 9, 1, 0, 0, 3, 0, 0, 8, 5, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 9, 0, 0, 0, 0, 0, 9, 1, 0, 0, 6, 0, 0, 5, 9, 3, 0, 6, 0, 0, 1, 0, 0, 0, 0, 0, 5, 7, 0, 0, 7, 3, 5, 1, 0, 0, 2, 9],[7, 3, 1, 2, 4, 5, 9, 6, 8, 9, 6, 8, 1, 7, 3, 2, 4, 5, 2, 5, 4, 6, 8, 9, 1, 3, 7, 3, 9, 6, 8, 5, 4, 7, 1, 2, 5, 1, 7, 3, 2, 6, 8, 9, 4, 8, 4, 2, 7, 9, 1, 3, 5, 6, 4, 2, 5, 9, 3, 7, 6, 8, 1, 1, 8, 9, 4, 6, 2, 5, 7, 3, 6, 7, 3, 5, 1, 8, 4, 2, 9],
easy,[0, 2, 0, 0, 0, 3, 0, 1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 6, 0, 0, 3, 4, 0, 0, 2, 9, 0, 7, 0, 0, 5, 6, 0, 0, 2, 0, 8, 0, 2, 3, 1, 7, 6, 0, 9, 0, 9, 0, 0, 2, 4, 0, 0, 7, 0, 6, 8, 0, 0, 2, 7, 0, 0, 2, 0, 0, 7, 0, 0, 5, 0, 0, 0, 7, 0, 1, 0, 0, 0, 6, 0],[9, 2, 7, 6, 8, 3, 4, 1, 5, 5, 8, 4, 2, 9, 1, 3, 7, 6, 6, 1, 3, 4, 7, 5, 2, 9, 8, 7, 4, 1, 5, 6, 9, 8, 2, 3, 8, 5, 2, 3, 1, 7, 6, 4, 9, 3, 9, 6, 8, 2, 4, 1, 5, 7, 1, 6, 8, 9, 5, 2, 7, 3, 4, 2, 3, 9, 7, 4, 6, 5, 8, 1, 4, 7, 5, 1, 3, 8, 9, 6, 2],
medium,[0, 0, 5, 0, 0, 4, 0, 9, 0, 0, 9, 0, 0, 5, 0, 6, 4, 0, 7, 4, 0, 0, 0, 0, 3, 0, 1, 2, 7, 0, 0, 0, 3, 0, 0, 0, 4, 5, 0, 2, 8, 7, 0, 1, 3, 0, 0, 0, 5, 0, 0, 0, 7, 2, 6, 0, 7, 0, 0, 0, 0, 2, 5, 0, 8, 9, 0, 2, 0, 0, 6, 0, 0, 2, 0, 6, 0, 0, 7, 0, 0],[1, 6, 5, 3, 7, 4, 2, 9, 8, 8, 9, 3, 1, 5, 2, 6, 4, 7, 7, 4, 2, 8, 9, 6, 3, 5, 1, 2, 7, 1, 9, 4, 3, 5, 8, 6, 4, 5, 6, 2, 8, 7, 9, 1, 3, 9, 3, 8, 5, 6, 1, 4, 7, 2, 6, 1, 7, 4, 3, 9, 8, 2, 5, 3, 8, 9, 7, 2, 5, 1, 6, 4, 5, 2, 4, 6, 1, 8, 7, 3, 9],
easy,[0, 0, 0, 0, 0, 0, 1, 0, 5, 1, 0, 0, 0, 0, 2, 6, 0, 3, 5, 0, 6, 7, 0, 0, 0, 2, 0, 9, 6, 0, 5, 2, 7, 0, 0, 4, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, 0, 0, 9, 8, 6, 0, 3, 7, 0, 5, 0, 0, 0, 4, 7, 0, 2, 7, 0, 1, 2, 0, 0, 0, 0, 6, 4, 0, 8, 0, 0, 0, 0, 0, 0],[3, 8, 2, 4, 6, 9, 1, 7, 5, 1, 9, 7, 8, 5, 2, 6, 4, 3, 5, 4, 6, 7, 1, 3, 9, 2, 8, 9, 6, 3, 5, 2, 7, 8, 1, 4, 8, 7, 5, 3, 4, 1, 2, 6, 9, 2, 1, 4, 9, 8, 6, 5, 3, 7, 6, 5, 9, 1, 3, 4, 7, 8, 2, 7, 3, 1, 2, 9, 8, 4, 5, 6, 4, 2, 8, 6, 7, 5, 3, 9, 1],
hard,[0, 1, 0, 0, 8, 0, 5, 0, 0, 3, 0, 0, 0, 7, 6, 0, 8, 4, 8, 7, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 5, 9, 8, 0, 1, 0, 1, 0, 0, 7, 0, 3, 0, 0, 5, 0, 8, 0, 6, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 3, 6, 4, 6, 0, 9, 3, 0, 0, 0, 8, 0, 0, 1, 0, 6, 0, 0, 2, 0],[6, 1, 4, 2, 8, 9, 5, 7, 3, 3, 5, 9, 1, 7, 6, 2, 8, 4, 8, 7, 2, 3, 5, 4, 9, 6, 1, 7, 4, 3, 5, 9, 8, 6, 1, 2, 1, 2, 6, 7, 4, 3, 8, 9, 5, 9, 8, 5, 6, 2, 1, 3, 4, 7, 2, 9, 8, 4, 1, 5, 7, 3, 6, 4, 6, 7, 9, 3, 2, 1, 5, 8, 5, 3, 1, 8, 6, 7, 4, 2, 9],
easy,[1, 0, 8, 0, 2, 5, 6, 0, 0, 9, 0, 3, 1, 0, 4, 2, 0, 5, 0, 0, 2, 9, 0, 0, 8, 0, 0, 2, 0, 1, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 4, 0, 1, 0, 0, 9, 0, 0, 3, 5, 0, 0, 6, 0, 5, 7, 0, 2, 3, 0, 4, 0, 0, 7, 5, 4, 0, 1, 0, 6],[1, 7, 8, 3, 2, 5, 6, 4, 9, 9, 6, 3, 1, 8, 4, 2, 7, 5, 5, 4, 2, 9, 7, 6, 8, 1, 3, 2, 5, 1, 4, 3, 7, 9, 6, 8, 8, 9, 4, 6, 5, 1, 7, 3, 2, 7, 3, 6, 2, 9, 8, 4, 5, 1, 4, 1, 9, 8, 6, 3, 5, 2, 7, 6, 8, 5, 7, 1, 2, 3, 9, 4, 3, 2, 7, 5, 4, 9, 1, 8, 6],
medium,[0, 0, 9, 2, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0, 1, 9, 2, 0, 6, 8, 3, 9, 0, 5, 0, 0, 0, 4, 5, 0, 0, 9, 0, 0, 8, 0, 0, 0, 5, 7, 4, 0, 0, 0, 7, 0, 0, 6, 0, 0, 4, 2, 0, 0, 0, 2, 0, 1, 5, 7, 6, 0, 9, 7, 6, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 2, 9, 0, 0],[1, 5, 9, 2, 4, 7, 8, 3, 6, 4, 3, 7, 8, 5, 6, 1, 9, 2, 2, 6, 8, 3, 9, 1, 5, 4, 7, 6, 4, 5, 1, 2, 9, 3, 7, 8, 8, 2, 3, 5, 7, 4, 6, 1, 9, 7, 9, 1, 6, 8, 3, 4, 2, 5, 3, 8, 2, 9, 1, 5, 7, 6, 4, 9, 7, 6, 4, 3, 8, 2, 5, 1, 5, 1, 4, 7, 6, 2, 9, 8, 3],
easy,[8, 0, 0, 0, 0, 3, 0, 9, 1, 0, 0, 3, 0, 4, 8, 7, 0, 0, 0, 6, 4, 0, 0, 9, 8, 5, 0, 0, 5, 9, 0, 0, 0, 0, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 9, 4, 1, 0, 0, 0, 0, 5, 7, 0, 0, 4, 6, 1, 0, 0, 9, 3, 0, 0, 0, 8, 3, 6, 0, 2, 0, 0, 2, 3, 0, 7, 0, 0, 0, 0, 5],[8, 2, 5, 6, 7, 3, 4, 9, 1, 1, 9, 3, 5, 4, 8, 7, 6, 2, 7, 6, 4, 2, 1, 9, 8, 5, 3, 3, 5, 9, 8, 2, 7, 1, 4, 6, 6, 8, 7, 4, 5, 1, 3, 2, 9, 4, 1, 2, 9, 3, 6, 5, 7, 8, 5, 4, 6, 1, 8, 2, 9, 3, 7, 9, 7, 8, 3, 6, 5, 2, 1, 4, 2, 3, 1, 7, 9, 4, 6, 8, 5],
easy,[0, 0, 8, 0, 0, 5, 2, 0, 0, 0, 3, 7, 0, 0, 0, 0, 0, 0, 0, 4, 2, 3, 7, 8, 6, 0, 5, 2, 0, 0, 8, 0, 0, 0, 0, 0, 3, 0, 0, 1, 2, 7, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 4, 4, 0, 5, 9, 8, 1, 7, 3, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 9, 2, 0, 0, 5, 0, 0],[6, 9, 8, 4, 1, 5, 2, 7, 3, 5, 3, 7, 6, 9, 2, 4, 8, 1, 1, 4, 2, 3, 7, 8, 6, 9, 5, 2, 5, 6, 8, 4, 9, 3, 1, 7, 3, 8, 4, 1, 2, 7, 9, 5, 6, 9, 7, 1, 5, 3, 6, 8, 2, 4, 4, 6, 5, 9, 8, 1, 7, 3, 2, 8, 2, 3, 7, 5, 4, 1, 6, 9, 7, 1, 9, 2, 6, 3, 5, 4, 8],
easy,[3, 0, 0, 5, 0, 9, 6, 1, 0, 0, 9, 5, 0, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 5, 9, 7, 7, 0, 3, 0, 0, 8, 0, 0, 0, 5, 0, 0, 1, 3, 6, 0, 0, 9, 0, 0, 0, 7, 0, 0, 1, 0, 8, 8, 4, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 8, 7, 0, 0, 5, 7, 8, 0, 4, 0, 0, 1],[3, 7, 4, 5, 8, 9, 6, 1, 2, 1, 9, 5, 2, 6, 7, 4, 8, 3, 2, 8, 6, 4, 1, 3, 5, 9, 7, 7, 1, 3, 9, 4, 8, 2, 5, 6, 5, 2, 8, 1, 3, 6, 7, 4, 9, 4, 6, 9, 7, 5, 2, 1, 3, 8, 8, 4, 2, 3, 7, 1, 9, 6, 5, 9, 3, 1, 6, 2, 5, 8, 7, 4, 6, 5, 7, 8, 9, 4, 3, 2, 1],
easy,[7, 9, 0, 0, 0, 0, 0, 2, 0, 0, 8, 4, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 3, 2, 9, 0, 4, 0, 0, 0, 4, 8, 9, 1, 0, 2, 0, 2, 0, 5, 0, 1, 0, 3, 0, 8, 0, 5, 3, 2, 7, 0, 0, 0, 1, 0, 6, 8, 7, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 4, 1, 0, 0, 4, 0, 0, 0, 0, 0, 7, 6],[7, 9, 3, 6, 4, 8, 5, 2, 1, 2, 8, 4, 9, 1, 5, 3, 6, 7, 6, 5, 1, 7, 3, 2, 9, 8, 4, 3, 6, 7, 4, 8, 9, 1, 5, 2, 4, 2, 9, 5, 6, 1, 7, 3, 8, 8, 1, 5, 3, 2, 7, 6, 4, 9, 1, 3, 6, 8, 7, 4, 2, 9, 5, 9, 7, 8, 2, 5, 6, 4, 1, 3, 5, 4, 2, 1, 9, 3, 8, 7, 6],
hard,[6, 0, 4, 3, 0, 1, 0, 5, 8, 0, 0, 9, 5, 0, 7, 1, 0, 0, 0, 5, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 8, 6, 4, 0, 9, 0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 1, 0, 9, 7, 2, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 8, 0, 0, 0, 6, 2, 0, 3, 4, 0, 0, 8, 2, 0, 4, 0, 6, 9, 0, 7],[6, 7, 4, 3, 9, 1, 2, 5, 8, 3, 8, 9, 5, 2, 7, 1, 4, 6, 2, 5, 1, 6, 4, 8, 3, 7, 9, 5, 3, 2, 8, 6, 4, 7, 9, 1, 9, 6, 7, 1, 3, 5, 8, 2, 4, 4, 1, 8, 9, 7, 2, 5, 6, 3, 1, 4, 3, 7, 5, 9, 6, 8, 2, 7, 9, 6, 2, 8, 3, 4, 1, 5, 8, 2, 5, 4, 1, 6, 9, 3, 7],
hard,[2, 0, 9, 0, 0, 0, 0, 3, 0, 3, 0, 0, 4, 0, 9, 0, 0, 0, 0, 0, 1, 0, 2, 6, 9, 8, 5, 0, 3, 0, 5, 8, 0, 0, 1, 0, 5, 0, 0, 9, 0, 1, 0, 0, 7, 0, 1, 0, 0, 6, 7, 0, 5, 0, 1, 7, 8, 6, 5, 0, 4, 0, 0, 0, 0, 0, 7, 0, 8, 0, 0, 3, 0, 9, 0, 0, 0, 0, 5, 0, 8],[2, 6, 9, 8, 1, 5, 7, 3, 4, 3, 8, 5, 4, 7, 9, 6, 2, 1, 7, 4, 1, 3, 2, 6, 9, 8, 5, 9, 3, 7, 5, 8, 4, 2, 1, 6, 5, 2, 6, 9, 3, 1, 8, 4, 7, 8, 1, 4, 2, 6, 7, 3, 5, 9, 1, 7, 8, 6, 5, 3, 4, 9, 2, 4, 5, 2, 7, 9, 8, 1, 6, 3, 6, 9, 3, 1, 4, 2, 5, 7, 8],
hard,[0, 8, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 5, 1, 4, 6, 0, 4, 9, 3, 0, 0, 0, 0, 0, 0, 6, 2, 0, 3, 4, 0, 8, 0, 3, 0, 7, 0, 4, 0, 2, 0, 4, 0, 1, 8, 0, 5, 9, 0, 0, 0, 0, 0, 0, 7, 6, 2, 0, 5, 7, 6, 5, 0, 0, 9, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 6, 0],[1, 8, 7, 5, 4, 2, 6, 3, 9, 3, 9, 2, 6, 8, 7, 5, 1, 4, 6, 5, 4, 9, 3, 1, 7, 8, 2, 9, 7, 6, 2, 1, 3, 4, 5, 8, 5, 3, 8, 7, 9, 4, 1, 2, 6, 4, 2, 1, 8, 6, 5, 9, 7, 3, 8, 1, 3, 4, 7, 6, 2, 9, 5, 7, 6, 5, 3, 2, 9, 8, 4, 1, 2, 4, 9, 1, 5, 8, 3, 6, 7],
easy,[0, 1, 0, 0, 0, 0, 7, 0, 8, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 9, 7, 1, 0, 2, 5, 0, 4, 0, 2, 0, 7, 8, 1, 9, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 0, 0, 9, 6, 5, 4, 0, 1, 0, 2, 0, 1, 9, 0, 6, 8, 4, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 7, 0],[5, 1, 2, 4, 9, 3, 7, 6, 8, 6, 3, 4, 5, 7, 8, 2, 9, 1, 8, 9, 7, 1, 6, 2, 5, 3, 4, 4, 2, 3, 7, 8, 1, 9, 5, 6, 1, 5, 6, 3, 2, 9, 4, 8, 7, 7, 8, 9, 6, 5, 4, 3, 1, 2, 2, 7, 1, 9, 3, 6, 8, 4, 5, 9, 4, 5, 8, 1, 7, 6, 2, 3, 3, 6, 8, 2, 4, 5, 1, 7, 9],
easy,[1, 0, 3, 0, 0, 6, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 4, 0, 0, 0, 0, 9, 8, 2, 0, 0, 1, 0, 7, 6, 2, 0, 0, 3, 8, 4, 0, 0, 1, 0, 0, 0, 6, 0, 0, 8, 3, 2, 0, 0, 5, 1, 9, 0, 3, 0, 0, 6, 1, 7, 0, 0, 0, 0, 6, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 3, 0, 0, 7, 0, 2],[1, 8, 3, 5, 4, 6, 2, 7, 9, 2, 5, 9, 1, 7, 3, 8, 4, 6, 6, 4, 7, 9, 8, 2, 5, 3, 1, 5, 7, 6, 2, 9, 1, 3, 8, 4, 4, 9, 1, 7, 3, 8, 6, 2, 5, 8, 3, 2, 4, 6, 5, 1, 9, 7, 3, 2, 4, 6, 1, 7, 9, 5, 8, 7, 6, 5, 8, 2, 9, 4, 1, 3, 9, 1, 8, 3, 5, 4, 7, 6, 2],
medium,[0, 8, 0, 4, 0, 9, 5, 0, 3, 0, 0, 1, 5, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 6, 7, 2, 0, 0, 3, 0, 0, 0, 7, 1, 0, 4, 1, 0, 0, 0, 4, 0, 0, 0, 5, 4, 0, 5, 9, 0, 0, 0, 6, 0, 0, 1, 8, 2, 0, 0, 0, 0, 0, 0, 0, 3, 7, 0, 5, 9, 0, 0, 7, 0, 6, 8, 0, 4, 0, 3, 0],[6, 8, 7, 4, 2, 9, 5, 1, 3, 3, 2, 1, 5, 7, 8, 6, 4, 9, 5, 9, 4, 1, 3, 6, 7, 2, 8, 8, 3, 2, 6, 5, 7, 1, 9, 4, 1, 6, 9, 3, 4, 2, 8, 7, 5, 4, 7, 5, 9, 8, 1, 3, 6, 2, 9, 1, 8, 2, 6, 3, 4, 5, 7, 2, 4, 3, 7, 1, 5, 9, 8, 6, 7, 5, 6, 8, 9, 4, 2, 3, 1],
hard,[9, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 6, 0, 0, 7, 0, 1, 6, 0, 3, 2, 4, 0, 8, 0, 0, 4, 3, 0, 0, 6, 7, 1, 0, 0, 0, 9, 0, 0, 0, 4, 4, 3, 0, 0, 1, 7, 0, 0, 5, 0, 4, 8, 3, 0, 9, 7, 0, 2, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 5, 0, 3],[9, 6, 4, 7, 2, 1, 3, 5, 8, 3, 2, 5, 9, 8, 4, 6, 7, 1, 7, 8, 1, 6, 5, 3, 2, 4, 9, 8, 5, 9, 4, 3, 2, 1, 6, 7, 1, 7, 2, 5, 9, 6, 8, 3, 4, 4, 3, 6, 8, 1, 7, 9, 2, 5, 5, 4, 8, 3, 6, 9, 7, 1, 2, 2, 9, 3, 1, 7, 5, 4, 8, 6, 6, 1, 7, 2, 4, 8, 5, 9, 3],
medium,[0, 1, 3, 0, 0, 0, 0, 2, 0, 8, 0, 0, 2, 4, 0, 0, 0, 5, 9, 0, 0, 7, 0, 0, 1, 0, 8, 1, 0, 8, 0, 0, 0, 0, 6, 0, 0, 7, 4, 0, 0, 0, 5, 1, 0, 0, 5, 0, 0, 0, 0, 7, 0, 3, 5, 0, 9, 0, 0, 7, 0, 0, 4, 6, 0, 0, 0, 3, 9, 0, 0, 1, 0, 3, 0, 0, 0, 0, 9, 5, 0],[4, 1, 3, 9, 5, 8, 6, 2, 7, 8, 6, 7, 2, 4, 1, 3, 9, 5, 9, 2, 5, 7, 6, 3, 1, 4, 8, 1, 9, 8, 3, 7, 5, 4, 6, 2, 3, 7, 4, 8, 2, 6, 5, 1, 9, 2, 5, 6, 1, 9, 4, 7, 8, 3, 5, 8, 9, 6, 1, 7, 2, 3, 4, 6, 4, 2, 5, 3, 9, 8, 7, 1, 7, 3, 1, 4, 8, 2, 9, 5, 6],
medium,[6, 0, 5, 0, 9, 4, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 7, 0, 4, 2, 0, 8, 6, 9, 5, 0, 0, 0, 0, 7, 0, 1, 0, 8, 0, 5, 0, 1, 0, 9, 0, 4, 0, 2, 0, 1, 0, 4, 0, 0, 0, 0, 1, 9, 8, 3, 0, 6, 7, 0, 4, 0, 0, 0, 0, 0, 0, 3, 8, 0, 0, 0, 0, 9, 8, 0, 5, 0, 1],[6, 2, 5, 7, 9, 4, 8, 1, 3, 3, 8, 9, 6, 1, 5, 4, 7, 2, 7, 1, 4, 2, 3, 8, 6, 9, 5, 9, 4, 6, 5, 7, 2, 1, 3, 8, 8, 5, 3, 1, 6, 9, 2, 4, 7, 2, 7, 1, 8, 4, 3, 9, 5, 6, 1, 9, 8, 3, 5, 6, 7, 2, 4, 5, 6, 7, 4, 2, 1, 3, 8, 9, 4, 3, 2, 9, 8, 7, 5, 6, 1],
easy,[6, 9, 8, 0, 3, 0, 1, 0, 0, 0, 3, 7, 0, 2, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 8, 4, 0, 0, 0, 2, 6, 0, 0, 0, 9, 0, 3, 0, 4, 0, 9, 0, 6, 0, 1, 0, 1, 0, 0, 0, 4, 2, 0, 0, 0, 4, 3, 0, 0, 7, 5, 0, 0, 0, 0, 0, 0, 4, 0, 3, 1, 0, 0, 0, 5, 0, 8, 0, 4, 2, 7],[6, 9, 8, 4, 3, 5, 1, 7, 2, 4, 3, 7, 8, 2, 1, 9, 6, 5, 5, 2, 1, 9, 7, 6, 8, 4, 3, 8, 5, 2, 6, 1, 3, 7, 9, 4, 3, 7, 4, 2, 9, 8, 6, 5, 1, 9, 1, 6, 7, 5, 4, 2, 3, 8, 2, 4, 3, 1, 6, 7, 5, 8, 9, 7, 8, 9, 5, 4, 2, 3, 1, 6, 1, 6, 5, 3, 8, 9, 4, 2, 7],
medium,[0, 0, 2, 0, 7, 0, 0, 0, 0, 7, 3, 0, 0, 0, 1, 0, 4, 9, 0, 6, 5, 0, 9, 4, 3, 2, 7, 9, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 7, 2, 0, 9, 5, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 2, 2, 1, 4, 9, 3, 0, 7, 8, 0, 6, 7, 0, 4, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 0, 4, 0, 0],[4, 9, 2, 6, 7, 3, 1, 5, 8, 7, 3, 8, 5, 2, 1, 6, 4, 9, 1, 6, 5, 8, 9, 4, 3, 2, 7, 9, 2, 1, 3, 6, 5, 8, 7, 4, 3, 8, 7, 2, 4, 9, 5, 6, 1, 5, 4, 6, 1, 8, 7, 9, 3, 2, 2, 1, 4, 9, 3, 6, 7, 8, 5, 6, 7, 9, 4, 5, 8, 2, 1, 3, 8, 5, 3, 7, 1, 2, 4, 9, 6],
medium,[3, 0, 2, 4, 0, 8, 5, 6, 0, 7, 0, 0, 6, 0, 1, 0, 0, 8, 0, 6, 0, 0, 0, 0, 7, 0, 4, 0, 0, 0, 5, 2, 3, 0, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 8, 0, 7, 1, 9, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 5, 0, 2, 0, 0, 9, 0, 4, 0, 0, 3, 0, 9, 5, 3, 0, 2, 1, 0, 7],[3, 1, 2, 4, 7, 8, 5, 6, 9, 7, 5, 4, 6, 9, 1, 2, 3, 8, 8, 6, 9, 2, 3, 5, 7, 1, 4, 9, 4, 6, 5, 2, 3, 8, 7, 1, 1, 2, 7, 8, 4, 6, 3, 9, 5, 5, 8, 3, 7, 1, 9, 4, 2, 6, 4, 3, 8, 1, 6, 7, 9, 5, 2, 2, 7, 1, 9, 5, 4, 6, 8, 3, 6, 9, 5, 3, 8, 2, 1, 4, 7],
medium,[0, 0, 8, 0, 0, 0, 0, 9, 0, 0, 9, 1, 0, 0, 2, 0, 0, 7, 5, 0, 2, 0, 9, 0, 8, 0, 3, 0, 0, 0, 4, 1, 7, 0, 0, 6, 1, 2, 0, 6, 0, 8, 0, 7, 5, 7, 0, 0, 2, 5, 9, 0, 0, 0, 3, 0, 9, 0, 4, 0, 7, 0, 2, 2, 0, 0, 9, 0, 0, 5, 8, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0],[6, 3, 8, 5, 7, 4, 2, 9, 1, 4, 9, 1, 3, 8, 2, 6, 5, 7, 5, 7, 2, 1, 9, 6, 8, 4, 3, 9, 8, 5, 4, 1, 7, 3, 2, 6, 1, 2, 4, 6, 3, 8, 9, 7, 5, 7, 6, 3, 2, 5, 9, 4, 1, 8, 3, 5, 9, 8, 4, 1, 7, 6, 2, 2, 1, 7, 9, 6, 3, 5, 8, 4, 8, 4, 6, 7, 2, 5, 1, 3, 9],
easy,[4, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 2, 5, 0, 1, 6, 0, 0, 0, 9, 5, 6, 0, 4, 0, 2, 0, 7, 0, 4, 0, 0, 0, 2, 0, 0, 0, 3, 0, 7, 0, 9, 0, 6, 0, 0, 0, 9, 0, 0, 0, 8, 0, 1, 0, 2, 0, 4, 0, 8, 7, 1, 0, 0, 0, 7, 3, 0, 6, 9, 0, 4, 0, 0, 0, 0, 9, 0, 0, 0, 2],[4, 6, 1, 9, 8, 2, 5, 3, 7, 8, 7, 2, 5, 3, 1, 6, 4, 9, 3, 9, 5, 6, 7, 4, 1, 2, 8, 7, 1, 4, 8, 6, 5, 2, 9, 3, 2, 3, 8, 7, 1, 9, 4, 6, 5, 6, 5, 9, 2, 4, 3, 8, 7, 1, 9, 2, 3, 4, 5, 8, 7, 1, 6, 1, 8, 7, 3, 2, 6, 9, 5, 4, 5, 4, 6, 1, 9, 7, 3, 8, 2],
medium,[2, 4, 0, 0, 7, 0, 6, 0, 0, 0, 5, 1, 0, 2, 4, 7, 0, 8, 0, 0, 7, 1, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0, 0, 8, 6, 0, 0, 8, 2, 0, 0, 0, 5, 7, 0, 0, 6, 3, 0, 0, 7, 0, 0, 0, 5, 0, 0, 0, 0, 8, 3, 0, 0, 8, 0, 4, 7, 3, 0, 9, 1, 0, 0, 0, 9, 0, 4, 0, 0, 8, 5],[2, 4, 8, 5, 7, 9, 6, 3, 1, 6, 5, 1, 3, 2, 4, 7, 9, 8, 3, 9, 7, 1, 8, 6, 4, 5, 2, 4, 7, 5, 9, 1, 2, 8, 6, 3, 1, 8, 2, 4, 6, 3, 5, 7, 9, 9, 6, 3, 8, 5, 7, 1, 2, 4, 5, 1, 6, 2, 9, 8, 3, 4, 7, 8, 2, 4, 7, 3, 5, 9, 1, 6, 7, 3, 9, 6, 4, 1, 2, 8, 5],
medium,[0, 0, 9, 6, 0, 0, 0, 0, 4, 7, 0, 6, 0, 4, 0, 9, 0, 0, 5, 8, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 5, 0, 0, 1, 3, 0, 0, 5, 8, 1, 2, 3, 4, 6, 0, 0, 3, 1, 0, 0, 4, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 7, 1, 0, 0, 7, 0, 3, 0, 2, 0, 9, 1, 0, 0, 0, 0, 7, 3, 0, 0],[3, 2, 9, 6, 1, 5, 7, 8, 4, 7, 1, 6, 3, 4, 8, 9, 2, 5, 5, 8, 4, 7, 9, 2, 6, 1, 3, 4, 7, 2, 5, 6, 9, 1, 3, 8, 9, 5, 8, 1, 2, 3, 4, 6, 7, 6, 3, 1, 8, 7, 4, 5, 9, 2, 2, 4, 3, 9, 5, 6, 8, 7, 1, 8, 6, 7, 4, 3, 1, 2, 5, 9, 1, 9, 5, 2, 8, 7, 3, 4, 6],
medium,[6, 0, 0, 0, 0, 9, 0, 3, 0, 3, 7, 4, 8, 0, 0, 0, 5, 6, 9, 0, 1, 0, 0, 3, 0, 0, 0, 2, 0, 0, 4, 0, 5, 0, 9, 0, 0, 8, 0, 1, 0, 6, 0, 2, 0, 0, 3, 0, 2, 0, 7, 0, 0, 8, 0, 0, 0, 3, 0, 0, 2, 0, 1, 7, 4, 0, 0, 0, 2, 5, 8, 9, 0, 6, 0, 9, 0, 0, 0, 0, 7],[6, 5, 8, 7, 4, 9, 1, 3, 2, 3, 7, 4, 8, 2, 1, 9, 5, 6, 9, 2, 1, 5, 6, 3, 8, 7, 4, 2, 1, 7, 4, 8, 5, 6, 9, 3, 4, 8, 9, 1, 3, 6, 7, 2, 5, 5, 3, 6, 2, 9, 7, 4, 1, 8, 8, 9, 5, 3, 7, 4, 2, 6, 1, 7, 4, 3, 6, 1, 2, 5, 8, 9, 1, 6, 2, 9, 5, 8, 3, 4, 7],
easy,[0, 0, 0, 6, 0, 0, 0, 2, 4, 5, 4, 0, 0, 3, 0, 6, 7, 0, 0, 0, 0, 8, 7, 0, 5, 0, 3, 0, 0, 6, 2, 1, 0, 0, 0, 0, 1, 7, 0, 4, 0, 6, 0, 8, 5, 0, 0, 0, 0, 8, 5, 1, 0, 0, 3, 0, 4, 0, 6, 8, 0, 0, 0, 0, 8, 5, 0, 2, 0, 0, 3, 1, 2, 1, 0, 0, 0, 3, 0, 0, 0],[7, 3, 8, 6, 5, 1, 9, 2, 4, 5, 4, 1, 9, 3, 2, 6, 7, 8, 9, 6, 2, 8, 7, 4, 5, 1, 3, 8, 5, 6, 2, 1, 7, 3, 4, 9, 1, 7, 3, 4, 9, 6, 2, 8, 5, 4, 2, 9, 3, 8, 5, 1, 6, 7, 3, 9, 4, 1, 6, 8, 7, 5, 2, 6, 8, 5, 7, 2, 9, 4, 3, 1, 2, 1, 7, 5, 4, 3, 8, 9, 6],
medium,[0, 0, 0, 0, 5, 0, 0, 0, 4, 5, 0, 0, 0, 0, 8, 3, 7, 1, 1, 0, 8, 4, 7, 2, 5, 0, 0, 0, 5, 0, 0, 0, 0, 1, 3, 6, 0, 0, 0, 6, 0, 5, 0, 0, 0, 2, 6, 1, 0, 0, 0, 0, 8, 0, 0, 0, 5, 8, 2, 3, 6, 0, 7, 9, 8, 6, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 9, 0, 0, 0, 0],[6, 7, 9, 3, 5, 1, 8, 2, 4, 5, 4, 2, 9, 6, 8, 3, 7, 1, 1, 3, 8, 4, 7, 2, 5, 6, 9, 7, 5, 4, 2, 8, 9, 1, 3, 6, 8, 9, 3, 6, 1, 5, 7, 4, 2, 2, 6, 1, 7, 3, 4, 9, 8, 5, 4, 1, 5, 8, 2, 3, 6, 9, 7, 9, 8, 6, 1, 4, 7, 2, 5, 3, 3, 2, 7, 5, 9, 6, 4, 1, 8],
easy,[0, 0, 8, 0, 3, 6, 1, 2, 0, 0, 0, 7, 2, 9, 5, 0, 0, 0, 6, 0, 0, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 9, 4, 0, 7, 2, 7, 9, 0, 0, 0, 3, 1, 8, 4, 0, 5, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 3, 0, 0, 0, 9, 5, 3, 6, 0, 0, 0, 5, 4, 6, 7, 0, 9, 0, 0],[5, 9, 8, 7, 3, 6, 1, 2, 4, 1, 4, 7, 2, 9, 5, 8, 3, 6, 6, 2, 3, 1, 4, 8, 7, 9, 5, 8, 6, 1, 3, 2, 9, 4, 5, 7, 2, 7, 9, 5, 6, 4, 3, 1, 8, 4, 3, 5, 8, 1, 7, 2, 6, 9, 9, 1, 6, 4, 8, 2, 5, 7, 3, 7, 8, 2, 9, 5, 3, 6, 4, 1, 3, 5, 4, 6, 7, 1, 9, 8, 2],
hard,[0, 0, 0, 9, 0, 0, 0, 3, 6, 0, 0, 0, 0, 7, 2, 0, 4, 0, 0, 2, 3, 4, 0, 1, 0, 8, 9, 0, 7, 0, 0, 3, 4, 1, 0, 0, 0, 0, 4, 0, 5, 0, 9, 0, 0, 0, 0, 8, 2, 9, 0, 0, 6, 0, 9, 6, 0, 7, 0, 3, 8, 5, 0, 0, 8, 0, 6, 2, 0, 0, 0, 0, 7, 4, 0, 0, 0, 8, 0, 0, 0],[4, 1, 7, 9, 8, 5, 2, 3, 6, 8, 9, 6, 3, 7, 2, 5, 4, 1, 5, 2, 3, 4, 6, 1, 7, 8, 9, 6, 7, 9, 8, 3, 4, 1, 2, 5, 2, 3, 4, 1, 5, 6, 9, 7, 8, 1, 5, 8, 2, 9, 7, 3, 6, 4, 9, 6, 1, 7, 4, 3, 8, 5, 2, 3, 8, 5, 6, 2, 9, 4, 1, 7, 7, 4, 2, 5, 1, 8, 6, 9, 3],
medium,[0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 1, 0, 5, 2, 0, 0, 0, 0, 5, 9, 0, 6, 3, 2, 1, 4, 5, 0, 0, 0, 0, 9, 4, 0, 0, 1, 0, 0, 5, 3, 0, 0, 0, 0, 8, 3, 2, 1, 4, 4, 0, 3, 5, 0, 0, 0, 0, 9, 5, 0, 7, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0],[7, 5, 9, 1, 6, 4, 3, 8, 2, 8, 3, 6, 2, 9, 7, 1, 4, 5, 2, 1, 4, 8, 3, 5, 9, 7, 6, 3, 2, 1, 4, 5, 6, 7, 9, 8, 9, 4, 8, 7, 1, 2, 6, 5, 3, 6, 7, 5, 9, 8, 3, 2, 1, 4, 4, 6, 3, 5, 7, 1, 8, 2, 9, 5, 8, 7, 3, 2, 9, 4, 6, 1, 1, 9, 2, 6, 4, 8, 5, 3, 7],
easy,[6, 0, 0, 0, 9, 4, 3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 7, 8, 0, 5, 0, 0, 7, 0, 5, 4, 6, 0, 3, 9, 0, 9, 0, 0, 0, 0, 0, 6, 0, 8, 4, 0, 9, 3, 1, 0, 7, 0, 0, 3, 0, 8, 6, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 1, 4, 2, 0, 0, 0, 3],[6, 5, 7, 2, 9, 4, 3, 1, 8, 4, 1, 8, 6, 5, 3, 7, 9, 2, 9, 2, 3, 1, 7, 8, 4, 5, 6, 1, 7, 2, 5, 4, 6, 8, 3, 9, 3, 9, 5, 7, 8, 2, 1, 6, 4, 8, 4, 6, 9, 3, 1, 2, 7, 5, 7, 3, 4, 8, 6, 9, 5, 2, 1, 2, 8, 9, 3, 1, 5, 6, 4, 7, 5, 6, 1, 4, 2, 7, 9, 8, 3],
medium,[5, 7, 0, 0, 2, 3, 0, 1, 4, 0, 0, 0, 0, 1, 5, 9, 0, 0, 1, 0, 0, 9, 0, 0, 0, 3, 8, 0, 8, 0, 0, 4, 0, 0, 0, 9, 0, 9, 3, 0, 0, 0, 1, 4, 0, 7, 0, 0, 0, 9, 0, 0, 2, 0, 3, 2, 0, 0, 0, 9, 0, 0, 1, 0, 0, 8, 4, 6, 0, 0, 0, 0, 4, 5, 0, 1, 3, 0, 0, 9, 6],[5, 7, 9, 8, 2, 3, 6, 1, 4, 8, 3, 4, 6, 1, 5, 9, 7, 2, 1, 6, 2, 9, 7, 4, 5, 3, 8, 2, 8, 5, 3, 4, 1, 7, 6, 9, 6, 9, 3, 2, 8, 7, 1, 4, 5, 7, 4, 1, 5, 9, 6, 8, 2, 3, 3, 2, 6, 7, 5, 9, 4, 8, 1, 9, 1, 8, 4, 6, 2, 3, 5, 7, 4, 5, 7, 1, 3, 8, 2, 9, 6],
hard,[0, 0, 0, 3, 0, 0, 7, 5, 0, 2, 0, 3, 0, 1, 0, 8, 0, 0, 8, 1, 5, 9, 0, 0, 3, 0, 0, 7, 5, 0, 0, 2, 0, 0, 1, 4, 0, 6, 0, 0, 0, 0, 0, 3, 0, 9, 3, 0, 0, 4, 0, 0, 6, 8, 0, 0, 9, 0, 0, 4, 1, 8, 3, 0, 0, 7, 0, 3, 0, 6, 0, 9, 0, 8, 1, 0, 0, 6, 0, 0, 0],[4, 9, 6, 3, 8, 2, 7, 5, 1, 2, 7, 3, 4, 1, 5, 8, 9, 6, 8, 1, 5, 9, 6, 7, 3, 4, 2, 7, 5, 8, 6, 2, 3, 9, 1, 4, 1, 6, 4, 8, 5, 9, 2, 3, 7, 9, 3, 2, 7, 4, 1, 5, 6, 8, 6, 2, 9, 5, 7, 4, 1, 8, 3, 5, 4, 7, 1, 3, 8, 6, 2, 9, 3, 8, 1, 2, 9, 6, 4, 7, 5],
easy,[7, 0, 9, 8, 1, 0, 5, 4, 0, 0, 0, 0, 7, 9, 0, 6, 0, 8, 0, 3, 8, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 9, 0, 8, 0, 9, 0, 3, 0, 0, 0, 4, 0, 2, 0, 6, 0, 5, 0, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 8, 1, 0, 2, 0, 1, 0, 8, 7, 0, 0, 0, 0, 9, 6, 0, 3, 4, 2, 0, 5],[7, 2, 9, 8, 1, 6, 5, 4, 3, 4, 1, 5, 7, 9, 3, 6, 2, 8, 6, 3, 8, 4, 5, 2, 7, 9, 1, 5, 7, 2, 3, 4, 9, 1, 8, 6, 9, 8, 3, 6, 7, 1, 4, 5, 2, 1, 6, 4, 5, 2, 8, 9, 3, 7, 3, 4, 7, 2, 6, 5, 8, 1, 9, 2, 5, 1, 9, 8, 7, 3, 6, 4, 8, 9, 6, 1, 3, 4, 2, 7, 5],
easy,[0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 4, 7, 0, 1, 0, 3, 3, 0, 6, 2, 5, 0, 0, 9, 0, 0, 5, 3, 9, 2, 8, 7, 0, 0, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 0, 7, 6, 3, 5, 2, 4, 0, 0, 3, 0, 0, 1, 2, 9, 0, 6, 8, 0, 1, 0, 9, 4, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0],[7, 1, 5, 3, 8, 9, 6, 2, 4, 2, 9, 8, 4, 7, 6, 1, 5, 3, 3, 4, 6, 2, 5, 1, 8, 9, 7, 4, 5, 3, 9, 2, 8, 7, 6, 1, 6, 2, 9, 1, 4, 7, 5, 3, 8, 1, 8, 7, 6, 3, 5, 2, 4, 9, 5, 3, 4, 7, 1, 2, 9, 8, 6, 8, 6, 1, 5, 9, 4, 3, 7, 2, 9, 7, 2, 8, 6, 3, 4, 1, 5],
hard,[4, 0, 0, 0, 7, 2, 0, 1, 5, 1, 2, 0, 0, 6, 0, 0, 7, 0, 0, 0, 0, 0, 4, 5, 8, 0, 2, 0, 0, 0, 0, 0, 1, 0, 8, 3, 0, 6, 4, 0, 0, 0, 5, 9, 0, 8, 5, 0, 3, 0, 0, 0, 0, 0, 6, 0, 9, 2, 3, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 4, 6, 5, 7, 0, 6, 1, 0, 0, 0, 9],[4, 8, 6, 9, 7, 2, 3, 1, 5, 1, 2, 5, 8, 6, 3, 9, 7, 4, 9, 3, 7, 1, 4, 5, 8, 6, 2, 7, 9, 2, 4, 5, 1, 6, 8, 3, 3, 6, 4, 7, 2, 8, 5, 9, 1, 8, 5, 1, 3, 9, 6, 4, 2, 7, 6, 4, 9, 2, 3, 7, 1, 5, 8, 2, 1, 3, 5, 8, 9, 7, 4, 6, 5, 7, 8, 6, 1, 4, 2, 3, 9],
hard,[5, 0, 0, 4, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 2, 9, 7, 0, 0, 9, 1, 0, 0, 8, 0, 0, 6, 9, 2, 3, 0, 0, 5, 0, 6, 0, 7, 0, 0, 1, 0, 9, 0, 0, 4, 0, 1, 0, 8, 0, 0, 5, 9, 7, 6, 0, 0, 2, 0, 0, 7, 1, 0, 0, 7, 2, 6, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 7, 0, 0, 2],[5, 3, 7, 4, 9, 6, 2, 8, 1, 8, 6, 4, 3, 1, 2, 9, 7, 5, 2, 9, 1, 5, 7, 8, 4, 3, 6, 9, 2, 3, 7, 4, 5, 1, 6, 8, 7, 8, 5, 1, 6, 9, 3, 2, 4, 4, 1, 6, 8, 2, 3, 5, 9, 7, 6, 5, 9, 2, 8, 4, 7, 1, 3, 3, 7, 2, 6, 5, 1, 8, 4, 9, 1, 4, 8, 9, 3, 7, 6, 5, 2],
easy,[6, 0, 4, 3, 0, 0, 1, 5, 0, 0, 1, 0, 0, 7, 0, 6, 0, 8, 0, 8, 0, 0, 1, 6, 3, 2, 0, 0, 6, 0, 0, 9, 0, 5, 0, 0, 0, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 5, 0, 3, 0, 0, 9, 0, 0, 5, 6, 7, 2, 0, 0, 3, 0, 9, 0, 8, 0, 5, 0, 0, 7, 0, 0, 7, 2, 0, 0, 1, 9, 0, 5],[6, 9, 4, 3, 8, 2, 1, 5, 7, 2, 1, 3, 9, 7, 5, 6, 4, 8, 5, 8, 7, 4, 1, 6, 3, 2, 9, 4, 6, 1, 2, 9, 7, 5, 8, 3, 8, 3, 9, 5, 6, 4, 7, 1, 2, 7, 2, 5, 1, 3, 8, 4, 9, 6, 1, 5, 6, 7, 2, 9, 8, 3, 4, 9, 4, 8, 6, 5, 3, 2, 7, 1, 3, 7, 2, 8, 4, 1, 9, 6, 5],
medium,[0, 0, 1, 5, 0, 0, 0, 0, 0, 6, 3, 7, 0, 0, 8, 0, 9, 0, 5, 4, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 2, 8, 3, 0, 6, 0, 8, 1, 3, 0, 0, 0, 5, 7, 2, 0, 9, 0, 1, 7, 5, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 8, 1, 0, 6, 0, 8, 0, 0, 7, 2, 3, 0, 0, 0, 0, 0, 7, 9, 0, 0],[9, 8, 1, 5, 6, 2, 3, 4, 7, 6, 3, 7, 4, 1, 8, 2, 9, 5, 5, 4, 2, 7, 3, 9, 6, 1, 8, 7, 5, 4, 2, 8, 3, 1, 6, 9, 8, 1, 3, 6, 9, 4, 5, 7, 2, 2, 9, 6, 1, 7, 5, 8, 3, 4, 3, 7, 5, 9, 2, 6, 4, 8, 1, 4, 6, 9, 8, 5, 1, 7, 2, 3, 1, 2, 8, 3, 4, 7, 9, 5, 6],
easy,[0, 3, 4, 1, 2, 0, 0, 5, 7, 6, 2, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 6, 0, 0, 2, 0, 3, 0, 9, 0, 0, 0, 2, 0, 7, 0, 0, 0, 7, 3, 5, 8, 9, 0, 0, 0, 1, 0, 9, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, 5, 7, 5, 0, 0, 3, 4, 1, 6, 0],[8, 3, 4, 1, 2, 9, 6, 5, 7, 6, 2, 5, 7, 8, 3, 4, 9, 1, 9, 7, 1, 6, 4, 5, 2, 8, 3, 5, 9, 8, 4, 1, 2, 3, 7, 6, 2, 6, 7, 3, 5, 8, 9, 1, 4, 4, 1, 3, 9, 6, 7, 5, 2, 8, 1, 4, 2, 5, 7, 6, 8, 3, 9, 3, 8, 6, 2, 9, 1, 7, 4, 5, 7, 5, 9, 8, 3, 4, 1, 6, 2],
medium,[0, 4, 8, 3, 0, 7, 0, 2, 6, 2, 0, 0, 9, 6, 0, 1, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 7, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 9, 3, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 9, 0, 0, 1, 0, 7, 5, 0, 0, 3, 5, 2, 0, 8, 0, 6, 7, 4, 0],[1, 4, 8, 3, 5, 7, 9, 2, 6, 2, 3, 5, 9, 6, 4, 1, 8, 7, 6, 7, 9, 2, 1, 8, 4, 3, 5, 4, 9, 7, 6, 8, 3, 5, 1, 2, 3, 5, 2, 7, 4, 1, 6, 9, 8, 8, 1, 6, 5, 2, 9, 3, 7, 4, 7, 6, 4, 1, 3, 2, 8, 5, 9, 9, 8, 1, 4, 7, 5, 2, 6, 3, 5, 2, 3, 8, 9, 6, 7, 4, 1],
hard,[0, 8, 5, 3, 0, 2, 9, 1, 0, 2, 0, 0, 7, 0, 5, 8, 0, 4, 7, 9, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 6, 2, 0, 0, 0, 7, 8, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 9, 8, 9, 0, 7, 5, 0, 8, 0, 0, 6, 0, 4, 1, 2, 0, 9, 3, 7, 0],[6, 8, 5, 3, 4, 2, 9, 1, 7, 2, 1, 3, 7, 9, 5, 8, 6, 4, 7, 9, 4, 6, 8, 1, 5, 2, 3, 1, 5, 9, 8, 7, 6, 4, 3, 2, 3, 6, 2, 9, 5, 4, 7, 8, 1, 4, 7, 8, 1, 2, 3, 6, 5, 9, 5, 2, 6, 4, 3, 7, 1, 9, 8, 9, 3, 7, 5, 1, 8, 2, 4, 6, 8, 4, 1, 2, 6, 9, 3, 7, 5],
medium,[8, 0, 0, 4, 0, 5, 0, 3, 0, 0, 6, 0, 0, 0, 8, 2, 7, 0, 0, 0, 0, 0, 6, 0, 1, 8, 4, 4, 0, 0, 0, 0, 9, 8, 2, 0, 9, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 1, 2, 0, 0, 0, 0, 9, 1, 5, 9, 0, 2, 0, 0, 0, 0, 0, 8, 3, 7, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 3, 0, 0, 8],[8, 1, 2, 4, 7, 5, 9, 3, 6, 3, 6, 4, 9, 1, 8, 2, 7, 5, 7, 9, 5, 3, 6, 2, 1, 8, 4, 4, 7, 6, 5, 3, 9, 8, 2, 1, 9, 2, 8, 6, 4, 1, 7, 5, 3, 5, 3, 1, 2, 8, 7, 4, 6, 9, 1, 5, 9, 8, 2, 6, 3, 4, 7, 6, 8, 3, 7, 9, 4, 5, 1, 2, 2, 4, 7, 1, 5, 3, 6, 9, 8],
medium,[2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 9, 2, 0, 8, 9, 8, 7, 2, 0, 0, 0, 1, 0, 5, 4, 3, 0, 6, 0, 7, 8, 0, 0, 0, 0, 9, 8, 5, 0, 0, 0, 0, 6, 9, 0, 4, 0, 5, 2, 1, 0, 2, 0, 0, 0, 4, 1, 9, 6, 3, 0, 1, 7, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2],[2, 3, 6, 4, 1, 8, 9, 5, 7, 4, 1, 5, 6, 7, 9, 2, 3, 8, 9, 8, 7, 2, 5, 3, 6, 1, 4, 5, 4, 3, 1, 6, 2, 7, 8, 9, 1, 7, 2, 9, 8, 5, 4, 6, 3, 8, 6, 9, 3, 4, 7, 5, 2, 1, 7, 2, 8, 5, 3, 4, 1, 9, 6, 3, 9, 1, 7, 2, 6, 8, 4, 5, 6, 5, 4, 8, 9, 1, 3, 7, 2],
hard,[0, 0, 6, 0, 4, 3, 8, 0, 9, 0, 0, 0, 0, 2, 5, 3, 6, 0, 1, 0, 3, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 7, 0, 8, 6, 8, 0, 0, 0, 0, 0, 1, 3, 7, 0, 2, 4, 0, 0, 0, 0, 0, 9, 0, 0, 0, 3, 0, 4, 0, 5, 0, 7, 5, 8, 1, 0, 0, 0, 0, 4, 0, 8, 5, 9, 0, 1, 0, 0],[2, 5, 6, 1, 4, 3, 8, 7, 9, 8, 4, 7, 9, 2, 5, 3, 6, 1, 1, 9, 3, 6, 7, 8, 5, 2, 4, 5, 1, 9, 3, 6, 2, 7, 4, 8, 6, 8, 4, 7, 5, 9, 2, 1, 3, 7, 3, 2, 4, 8, 1, 9, 5, 6, 9, 6, 1, 2, 3, 7, 4, 8, 5, 3, 7, 5, 8, 1, 4, 6, 9, 2, 4, 2, 8, 5, 9, 6, 1, 3, 7],
easy,[0, 6, 4, 0, 1, 2, 3, 0, 0, 0, 5, 3, 0, 9, 0, 0, 4, 0, 1, 0, 7, 0, 4, 0, 0, 0, 0, 5, 0, 0, 8, 0, 1, 9, 0, 0, 0, 4, 0, 9, 0, 7, 0, 8, 0, 0, 0, 9, 4, 0, 5, 0, 0, 7, 0, 0, 0, 0, 5, 0, 7, 0, 2, 0, 9, 0, 0, 8, 0, 4, 1, 0, 0, 0, 2, 3, 7, 0, 8, 9, 0],[9, 6, 4, 5, 1, 2, 3, 7, 8, 2, 5, 3, 7, 9, 8, 6, 4, 1, 1, 8, 7, 6, 4, 3, 2, 5, 9, 5, 7, 6, 8, 3, 1, 9, 2, 4, 3, 4, 1, 9, 2, 7, 5, 8, 6, 8, 2, 9, 4, 6, 5, 1, 3, 7, 4, 3, 8, 1, 5, 9, 7, 6, 2, 7, 9, 5, 2, 8, 6, 4, 1, 3, 6, 1, 2, 3, 7, 4, 8, 9, 5],
hard,[5, 9, 0, 2, 7, 0, 0, 4, 1, 0, 0, 7, 9, 0, 1, 0, 0, 0, 0, 8, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 6, 2, 4, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 9, 8, 0, 0, 0, 0, 0, 8, 7, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 2, 1, 0, 0, 1, 2, 0, 0, 4, 9, 0, 7, 3],[5, 9, 6, 2, 7, 3, 8, 4, 1, 2, 4, 7, 9, 8, 1, 3, 6, 5, 3, 8, 1, 4, 6, 5, 2, 9, 7, 7, 5, 3, 6, 2, 4, 9, 1, 8, 8, 6, 9, 1, 3, 7, 4, 5, 2, 4, 1, 2, 5, 9, 8, 7, 3, 6, 9, 3, 8, 7, 1, 6, 5, 2, 4, 6, 7, 4, 3, 5, 2, 1, 8, 9, 1, 2, 5, 8, 4, 9, 6, 7, 3],
hard,[0, 0, 7, 0, 0, 3, 0, 5, 6, 0, 1, 4, 0, 0, 7, 0, 0, 0, 0, 3, 0, 0, 6, 9, 0, 7, 4, 0, 4, 0, 0, 1, 0, 6, 0, 7, 7, 0, 0, 9, 0, 8, 0, 0, 3, 5, 0, 2, 0, 7, 0, 0, 4, 0, 9, 5, 0, 7, 3, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 3, 6, 0, 1, 2, 0, 6, 0, 0, 7, 0, 0],[8, 9, 7, 4, 2, 3, 1, 5, 6, 6, 1, 4, 8, 5, 7, 2, 3, 9, 2, 3, 5, 1, 6, 9, 8, 7, 4, 3, 4, 9, 2, 1, 5, 6, 8, 7, 7, 6, 1, 9, 4, 8, 5, 2, 3, 5, 8, 2, 3, 7, 6, 9, 4, 1, 9, 5, 6, 7, 3, 2, 4, 1, 8, 4, 7, 8, 5, 9, 1, 3, 6, 2, 1, 2, 3, 6, 8, 4, 7, 9, 5],
easy,[9, 4, 0, 0, 2, 0, 3, 0, 0, 7, 0, 2, 0, 6, 5, 9, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 0, 3, 1, 0, 0, 0, 7, 0, 9, 0, 8, 0, 3, 0, 0, 0, 8, 2, 0, 0, 0, 9, 4, 1, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 3, 7, 8, 0, 4, 0, 9, 0, 0, 7, 0, 5, 0, 0, 6, 3],[9, 4, 6, 8, 2, 1, 3, 5, 7, 7, 1, 2, 3, 6, 5, 9, 4, 8, 8, 3, 5, 4, 9, 7, 6, 2, 1, 4, 2, 9, 5, 7, 3, 1, 8, 6, 6, 7, 1, 9, 4, 8, 2, 3, 5, 3, 5, 8, 2, 1, 6, 7, 9, 4, 1, 8, 4, 6, 3, 9, 5, 7, 2, 5, 6, 3, 7, 8, 2, 4, 1, 9, 2, 9, 7, 1, 5, 4, 8, 6, 3],
medium,[0, 0, 9, 4, 0, 0, 1, 2, 0, 2, 0, 0, 6, 0, 3, 0, 5, 0, 0, 7, 4, 0, 5, 1, 6, 0, 8, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 8, 0, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 7, 0, 4, 0, 2, 7, 1, 0, 9, 3, 0, 0, 3, 0, 9, 0, 8, 0, 0, 5, 0, 9, 6, 0, 0, 4, 7, 0, 0],[6, 5, 9, 4, 8, 7, 1, 2, 3, 2, 1, 8, 6, 9, 3, 4, 5, 7, 3, 7, 4, 2, 5, 1, 6, 9, 8, 1, 2, 7, 5, 3, 9, 8, 6, 4, 9, 4, 5, 8, 7, 6, 3, 1, 2, 8, 6, 3, 1, 4, 2, 5, 7, 9, 4, 8, 2, 7, 1, 5, 9, 3, 6, 7, 3, 1, 9, 6, 8, 2, 4, 5, 5, 9, 6, 3, 2, 4, 7, 8, 1],
easy,[0, 0, 6, 0, 5, 0, 0, 4, 9, 0, 9, 0, 2, 6, 0, 5, 3, 7, 5, 0, 3, 0, 1, 4, 0, 0, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 9, 0, 0, 5, 8, 0, 2, 0, 4, 2, 8, 5, 0, 9, 1, 0, 7, 0, 6, 1, 0, 0, 3, 0, 8, 0, 0],[8, 2, 6, 3, 5, 7, 1, 4, 9, 4, 9, 1, 2, 6, 8, 5, 3, 7, 5, 7, 3, 9, 1, 4, 6, 2, 8, 7, 6, 8, 1, 4, 3, 9, 5, 2, 1, 5, 2, 6, 7, 9, 4, 8, 3, 3, 4, 9, 8, 2, 5, 7, 6, 1, 9, 3, 7, 5, 8, 6, 2, 1, 4, 2, 8, 5, 4, 9, 1, 3, 7, 6, 6, 1, 4, 7, 3, 2, 8, 9, 5],
medium,[8, 0, 7, 1, 0, 5, 0, 3, 0, 2, 0, 1, 0, 3, 0, 8, 5, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 3, 0, 0, 0, 0, 5, 0, 0, 0, 8, 5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 2, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 1, 6, 0, 9, 0, 5, 0, 8, 0, 3, 0, 2, 0, 4, 9, 0, 6],[8, 4, 7, 1, 2, 5, 6, 3, 9, 2, 6, 1, 4, 3, 9, 8, 5, 7, 3, 5, 9, 6, 7, 8, 1, 4, 2, 1, 9, 4, 3, 6, 7, 2, 8, 5, 6, 2, 3, 8, 5, 1, 7, 9, 4, 5, 7, 8, 9, 4, 2, 3, 6, 1, 9, 8, 2, 5, 1, 6, 4, 7, 3, 4, 1, 6, 7, 9, 3, 5, 2, 8, 7, 3, 5, 2, 8, 4, 9, 1, 6],
hard,[0, 5, 0, 2, 0, 0, 7, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 9, 1, 0, 0, 5, 0, 3, 2, 4, 8, 0, 2, 0, 9, 3, 0, 1, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 0, 2, 7, 0, 6, 0, 7, 9, 5, 8, 0, 6, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 0, 6, 0, 0, 2, 0, 0, 9, 0, 1, 0],[9, 5, 4, 2, 6, 8, 7, 3, 1, 2, 3, 8, 4, 7, 1, 6, 5, 9, 1, 6, 7, 5, 9, 3, 2, 4, 8, 8, 2, 6, 9, 3, 4, 1, 7, 5, 3, 7, 1, 6, 8, 5, 4, 9, 2, 5, 4, 9, 1, 2, 7, 8, 6, 3, 7, 9, 5, 8, 1, 6, 3, 2, 4, 4, 1, 3, 7, 5, 2, 9, 8, 6, 6, 8, 2, 3, 4, 9, 5, 1, 7],
hard,[0, 0, 0, 9, 0, 0, 0, 0, 3, 5, 0, 0, 0, 0, 0, 0, 4, 0, 3, 4, 0, 7, 2, 8, 5, 6, 0, 7, 9, 0, 2, 0, 1, 0, 0, 0, 6, 3, 0, 4, 0, 7, 0, 8, 2, 0, 0, 0, 5, 0, 3, 0, 9, 7, 0, 6, 7, 8, 3, 4, 0, 1, 5, 0, 1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0],[1, 8, 6, 9, 4, 5, 7, 2, 3, 5, 7, 2, 3, 1, 6, 9, 4, 8, 3, 4, 9, 7, 2, 8, 5, 6, 1, 7, 9, 4, 2, 8, 1, 3, 5, 6, 6, 3, 5, 4, 9, 7, 1, 8, 2, 8, 2, 1, 5, 6, 3, 4, 9, 7, 9, 6, 7, 8, 3, 4, 2, 1, 5, 2, 1, 3, 6, 5, 9, 8, 7, 4, 4, 5, 8, 1, 7, 2, 6, 3, 9],
easy,[1, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 0, 0, 0, 9, 8, 1, 0, 0, 0, 0, 7, 3, 2, 0, 0, 3, 4, 8, 6, 0, 9, 0, 0, 7, 2, 0, 1, 3, 0, 7, 8, 0, 4, 7, 0, 0, 8, 0, 2, 1, 3, 9, 0, 0, 9, 4, 3, 0, 0, 0, 0, 6, 1, 3, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 6],[1, 2, 4, 5, 9, 8, 6, 7, 3, 5, 3, 7, 2, 6, 4, 9, 8, 1, 9, 8, 6, 1, 7, 3, 2, 4, 5, 3, 4, 8, 6, 1, 9, 5, 2, 7, 2, 9, 1, 3, 5, 7, 8, 6, 4, 7, 6, 5, 8, 4, 2, 1, 3, 9, 8, 5, 9, 4, 3, 6, 7, 1, 2, 6, 1, 3, 7, 2, 5, 4, 9, 8, 4, 7, 2, 9, 8, 1, 3, 5, 6],
medium,[0, 0, 0, 8, 0, 7, 0, 6, 2, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 2, 0, 0, 8, 0, 0, 4, 0, 0, 9, 8, 6, 5, 2, 3, 0, 0, 2, 7, 0, 3, 6, 0, 0, 6, 3, 8, 5, 2, 1, 0, 0, 4, 0, 0, 7, 0, 0, 8, 1, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 5, 5, 1, 0, 3, 0, 2, 0, 0, 0],[1, 9, 5, 8, 3, 7, 4, 6, 2, 2, 8, 6, 4, 1, 9, 3, 5, 7, 7, 4, 3, 2, 6, 5, 8, 9, 1, 4, 7, 1, 9, 8, 6, 5, 2, 3, 9, 5, 2, 7, 4, 3, 6, 1, 8, 6, 3, 8, 5, 2, 1, 9, 7, 4, 3, 2, 7, 6, 5, 8, 1, 4, 9, 8, 6, 9, 1, 7, 4, 2, 3, 5, 5, 1, 4, 3, 9, 2, 7, 8, 6],
medium,[1, 7, 0, 0, 4, 8, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 5, 0, 2, 0, 0, 8, 0, 0, 4, 0, 9, 5, 0, 2, 7, 0, 0, 0, 8, 7, 0, 3, 0, 2, 4, 0, 0, 0, 5, 8, 0, 4, 1, 0, 6, 0, 0, 1, 0, 0, 3, 0, 7, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 4, 8, 0, 0, 6, 1],[1, 7, 2, 3, 4, 8, 6, 5, 9, 9, 4, 8, 6, 5, 1, 3, 2, 7, 3, 5, 6, 2, 9, 7, 8, 1, 4, 4, 1, 9, 5, 6, 2, 7, 8, 3, 6, 8, 7, 1, 3, 9, 2, 4, 5, 2, 3, 5, 8, 7, 4, 1, 9, 6, 5, 6, 1, 9, 2, 3, 4, 7, 8, 8, 9, 4, 7, 1, 6, 5, 3, 2, 7, 2, 3, 4, 8, 5, 9, 6, 1],
medium,[0, 0, 5, 3, 0, 0, 1, 9, 0, 8, 4, 9, 0, 0, 0, 0, 3, 0, 0, 1, 3, 6, 0, 0, 0, 0, 4, 0, 0, 0, 7, 1, 0, 4, 0, 6, 0, 7, 0, 2, 0, 6, 0, 8, 0, 5, 0, 6, 0, 9, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 8, 6, 0, 0, 2, 0, 0, 0, 0, 7, 1, 9, 0, 5, 8, 0, 0, 7, 3, 0, 0],[2, 6, 5, 3, 7, 4, 1, 9, 8, 8, 4, 9, 5, 2, 1, 6, 3, 7, 7, 1, 3, 6, 8, 9, 5, 2, 4, 3, 9, 2, 7, 1, 8, 4, 5, 6, 4, 7, 1, 2, 5, 6, 9, 8, 3, 5, 8, 6, 4, 9, 3, 2, 7, 1, 1, 3, 7, 9, 4, 2, 8, 6, 5, 6, 2, 4, 8, 3, 5, 7, 1, 9, 9, 5, 8, 1, 6, 7, 3, 4, 2],
hard,[0, 9, 0, 0, 7, 6, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 5, 9, 0, 0, 8, 7, 4, 0, 0, 0, 0, 1, 5, 6, 0, 0, 2, 5, 0, 3, 0, 4, 0, 1, 9, 0, 0, 3, 6, 9, 0, 0, 0, 0, 5, 8, 7, 0, 0, 3, 4, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 5, 2, 0, 0, 8, 0],[8, 9, 1, 4, 7, 6, 2, 3, 5, 3, 7, 4, 2, 5, 8, 9, 6, 1, 6, 2, 5, 9, 3, 1, 8, 7, 4, 9, 4, 8, 7, 1, 5, 6, 2, 3, 2, 5, 6, 3, 8, 4, 7, 1, 9, 7, 1, 3, 6, 9, 2, 5, 4, 8, 5, 8, 7, 1, 6, 3, 4, 9, 2, 1, 6, 2, 8, 4, 9, 3, 5, 7, 4, 3, 9, 5, 2, 7, 1, 8, 6],
hard,[6, 0, 8, 0, 0, 0, 9, 5, 0, 3, 0, 7, 0, 6, 1, 8, 0, 0, 0, 0, 2, 0, 7, 0, 1, 0, 0, 1, 7, 0, 0, 0, 2, 6, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 6, 3, 0, 0, 0, 7, 8, 0, 0, 1, 0, 9, 0, 4, 0, 0, 0, 0, 4, 1, 5, 0, 2, 0, 3, 0, 2, 5, 0, 0, 0, 7, 0, 9],[6, 1, 8, 4, 2, 3, 9, 5, 7, 3, 5, 7, 9, 6, 1, 8, 4, 2, 4, 9, 2, 8, 7, 5, 1, 3, 6, 1, 7, 3, 5, 8, 2, 6, 9, 4, 5, 8, 9, 7, 4, 6, 3, 2, 1, 2, 4, 6, 3, 1, 9, 5, 7, 8, 7, 3, 1, 2, 9, 8, 4, 6, 5, 9, 6, 4, 1, 5, 7, 2, 8, 3, 8, 2, 5, 6, 3, 4, 7, 1, 9],
easy,[0, 8, 7, 0, 2, 1, 0, 0, 0, 1, 0, 4, 0, 8, 0, 0, 2, 0, 2, 0, 3, 0, 5, 7, 8, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 8, 7, 0, 0, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 5, 7, 1, 0, 4, 0, 6, 0, 2, 0, 0, 9, 0, 3, 0, 7, 0, 0, 0, 6, 3, 0, 2, 5, 0],[6, 8, 7, 3, 2, 1, 5, 9, 4, 1, 5, 4, 9, 8, 6, 7, 2, 3, 2, 9, 3, 4, 5, 7, 8, 6, 1, 5, 4, 2, 1, 7, 9, 6, 3, 8, 7, 1, 8, 2, 6, 3, 9, 4, 5, 3, 6, 9, 5, 4, 8, 1, 7, 2, 9, 3, 5, 7, 1, 2, 4, 8, 6, 4, 2, 6, 8, 9, 5, 3, 1, 7, 8, 7, 1, 6, 3, 4, 2, 5, 9],
easy,[4, 9, 0, 0, 3, 0, 0, 2, 0, 0, 8, 0, 0, 7, 2, 0, 9, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 8, 9, 0, 2, 5, 4, 0, 0, 2, 7, 0, 3, 9, 0, 0, 9, 5, 8, 0, 4, 6, 0, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 3, 6, 0, 5, 1, 0, 0, 8, 0, 0, 2, 0, 0, 8, 0, 0, 7, 9],[4, 9, 7, 1, 3, 5, 8, 2, 6, 6, 8, 5, 4, 7, 2, 1, 9, 3, 2, 1, 3, 9, 6, 8, 7, 4, 5, 7, 3, 6, 8, 9, 1, 2, 5, 4, 1, 4, 2, 7, 5, 3, 9, 6, 8, 9, 5, 8, 2, 4, 6, 3, 1, 7, 8, 7, 4, 6, 2, 9, 5, 3, 1, 3, 6, 9, 5, 1, 7, 4, 8, 2, 5, 2, 1, 3, 8, 4, 6, 7, 9],
medium,[7, 0, 3, 1, 5, 0, 0, 0, 2, 1, 8, 0, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 2, 3, 5, 0, 9, 1, 0, 9, 0, 0, 0, 0, 0, 2, 0, 5, 2, 0, 9, 8, 1, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 4, 6, 9, 0, 0, 0, 1, 2, 3, 0, 8],[7, 6, 3, 1, 5, 4, 9, 8, 2, 1, 8, 9, 7, 2, 6, 5, 3, 4, 2, 5, 4, 8, 9, 3, 6, 1, 7, 6, 4, 8, 2, 3, 5, 7, 9, 1, 3, 9, 1, 6, 4, 7, 8, 2, 5, 5, 2, 7, 9, 8, 1, 4, 6, 3, 4, 3, 2, 5, 6, 8, 1, 7, 9, 8, 1, 5, 3, 7, 9, 2, 4, 6, 9, 7, 6, 4, 1, 2, 3, 5, 8],
easy,[0, 0, 0, 5, 2, 7, 0, 8, 0, 0, 8, 0, 0, 6, 4, 0, 0, 7, 7, 0, 2, 0, 8, 0, 4, 0, 6, 0, 0, 8, 0, 7, 2, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 7, 1, 9, 0, 2, 0, 0, 3, 0, 9, 0, 1, 0, 8, 0, 4, 8, 0, 0, 6, 4, 0, 0, 3, 0, 0, 6, 0, 7, 3, 8, 0, 0, 0],[9, 4, 6, 5, 2, 7, 1, 8, 3, 1, 8, 3, 9, 6, 4, 5, 2, 7, 7, 5, 2, 3, 8, 1, 4, 9, 6, 6, 1, 8, 4, 7, 2, 3, 5, 9, 2, 9, 4, 8, 5, 3, 6, 7, 1, 5, 3, 7, 1, 9, 6, 2, 4, 8, 3, 7, 9, 2, 1, 5, 8, 6, 4, 8, 2, 1, 6, 4, 9, 7, 3, 5, 4, 6, 5, 7, 3, 8, 9, 1, 2],
hard,[3, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 4, 7, 0, 0, 0, 0, 0, 8, 0, 1, 2, 0, 4, 0, 9, 0, 1, 0, 0, 6, 4, 0, 0, 0, 0, 9, 3, 0, 8, 0, 5, 0, 7, 6, 0, 0, 0, 0, 3, 2, 0, 0, 1, 0, 9, 0, 4, 0, 1, 6, 0, 5, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2, 0, 0, 0, 9, 0, 0, 7],[3, 7, 9, 1, 8, 6, 5, 2, 4, 2, 5, 4, 7, 9, 3, 1, 6, 8, 8, 6, 1, 2, 5, 4, 7, 9, 3, 1, 8, 5, 6, 4, 7, 9, 3, 2, 9, 3, 2, 8, 1, 5, 4, 7, 6, 6, 4, 7, 9, 3, 2, 8, 5, 1, 7, 9, 3, 4, 2, 1, 6, 8, 5, 5, 1, 6, 3, 7, 8, 2, 4, 9, 4, 2, 8, 5, 6, 9, 3, 1, 7],
medium,[0, 0, 4, 0, 0, 0, 6, 2, 0, 3, 2, 0, 5, 4, 8, 0, 0, 0, 1, 9, 0, 2, 0, 0, 0, 0, 0, 6, 5, 0, 7, 1, 9, 0, 0, 0, 0, 0, 9, 4, 0, 3, 2, 0, 0, 0, 0, 0, 8, 6, 2, 0, 1, 9, 0, 0, 0, 0, 0, 4, 0, 5, 2, 0, 0, 0, 9, 2, 1, 0, 8, 4, 0, 4, 8, 0, 0, 0, 9, 0, 0],[5, 8, 4, 1, 9, 7, 6, 2, 3, 3, 2, 6, 5, 4, 8, 1, 9, 7, 1, 9, 7, 2, 3, 6, 8, 4, 5, 6, 5, 2, 7, 1, 9, 4, 3, 8, 8, 1, 9, 4, 5, 3, 2, 7, 6, 4, 7, 3, 8, 6, 2, 5, 1, 9, 9, 3, 1, 6, 8, 4, 7, 5, 2, 7, 6, 5, 9, 2, 1, 3, 8, 4, 2, 4, 8, 3, 7, 5, 9, 6, 1],
hard,[5, 0, 0, 0, 9, 0, 0, 8, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 4, 3, 0, 0, 0, 9, 4, 8, 9, 0, 2, 1, 0, 0, 3, 0, 0, 5, 6, 0, 7, 8, 0, 0, 7, 0, 0, 9, 8, 0, 5, 2, 4, 9, 0, 0, 0, 6, 5, 0, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 2, 0, 0, 7, 0, 0, 0, 5],[5, 4, 3, 7, 9, 2, 1, 8, 6, 6, 9, 2, 1, 5, 8, 4, 3, 7, 1, 7, 8, 4, 3, 6, 2, 5, 9, 4, 8, 9, 5, 2, 1, 7, 6, 3, 2, 3, 5, 6, 4, 7, 8, 9, 1, 7, 6, 1, 9, 8, 3, 5, 2, 4, 9, 1, 4, 2, 6, 5, 3, 7, 8, 3, 5, 7, 8, 1, 9, 6, 4, 2, 8, 2, 6, 3, 7, 4, 9, 1, 5],
medium,[5, 6, 8, 4, 0, 9, 7, 1, 0, 0, 0, 0, 5, 6, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 6, 0, 8, 3, 0, 7, 0, 0, 0, 0, 2, 0, 0, 8, 0, 5, 0, 0, 7, 0, 0, 0, 0, 1, 0, 6, 8, 0, 6, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 0, 5, 7, 0, 0, 0, 0, 7, 1, 3, 0, 6, 2, 9, 5],[5, 6, 8, 4, 2, 9, 7, 1, 3, 4, 3, 7, 5, 6, 1, 8, 2, 9, 9, 1, 2, 7, 3, 8, 5, 4, 6, 1, 8, 3, 6, 7, 4, 9, 5, 2, 2, 4, 6, 8, 9, 5, 1, 3, 7, 7, 9, 5, 2, 1, 3, 6, 8, 4, 6, 5, 4, 9, 8, 2, 3, 7, 1, 3, 2, 9, 1, 5, 7, 4, 6, 8, 8, 7, 1, 3, 4, 6, 2, 9, 5],
hard,[0, 3, 0, 8, 0, 2, 7, 0, 0, 9, 0, 2, 0, 0, 0, 0, 0, 6, 0, 8, 0, 9, 0, 1, 0, 2, 5, 0, 1, 0, 0, 0, 7, 0, 0, 2, 0, 0, 5, 1, 0, 4, 9, 0, 0, 7, 0, 0, 5, 0, 0, 0, 4, 0, 1, 7, 0, 2, 0, 5, 0, 6, 0, 8, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 4, 6, 0, 8, 0, 1, 0],[5, 3, 1, 8, 6, 2, 7, 9, 4, 9, 4, 2, 7, 5, 3, 1, 8, 6, 6, 8, 7, 9, 4, 1, 3, 2, 5, 4, 1, 8, 3, 9, 7, 6, 5, 2, 2, 6, 5, 1, 8, 4, 9, 7, 3, 7, 9, 3, 5, 2, 6, 8, 4, 1, 1, 7, 9, 2, 3, 5, 4, 6, 8, 8, 2, 6, 4, 1, 9, 5, 3, 7, 3, 5, 4, 6, 7, 8, 2, 1, 9],
easy,[0, 8, 0, 2, 9, 1, 3, 0, 0, 7, 0, 0, 0, 0, 0, 8, 9, 0, 0, 0, 0, 0, 7, 0, 4, 0, 1, 0, 5, 0, 9, 1, 8, 0, 0, 6, 8, 0, 0, 4, 0, 6, 0, 0, 5, 9, 0, 0, 7, 3, 5, 0, 2, 0, 1, 0, 8, 0, 6, 0, 0, 0, 0, 0, 9, 3, 0, 0, 0, 0, 0, 4, 0, 0, 6, 1, 4, 9, 0, 8, 0],[4, 8, 5, 2, 9, 1, 3, 6, 7, 7, 3, 1, 6, 5, 4, 8, 9, 2, 6, 2, 9, 8, 7, 3, 4, 5, 1, 3, 5, 2, 9, 1, 8, 7, 4, 6, 8, 1, 7, 4, 2, 6, 9, 3, 5, 9, 6, 4, 7, 3, 5, 1, 2, 8, 1, 4, 8, 3, 6, 2, 5, 7, 9, 2, 9, 3, 5, 8, 7, 6, 1, 4, 5, 7, 6, 1, 4, 9, 2, 8, 3],
hard,[8, 0, 5, 6, 2, 0, 9, 0, 1, 0, 0, 6, 3, 0, 0, 0, 0, 0, 0, 1, 7, 0, 4, 0, 0, 0, 2, 5, 0, 0, 0, 0, 2, 6, 0, 0, 1, 0, 0, 0, 9, 0, 0, 0, 3, 0, 0, 9, 8, 0, 0, 0, 0, 7, 7, 0, 0, 0, 3, 0, 5, 8, 0, 0, 0, 0, 0, 0, 8, 7, 0, 0, 4, 0, 1, 0, 7, 5, 3, 0, 6],[8, 4, 5, 6, 2, 7, 9, 3, 1, 2, 9, 6, 3, 8, 1, 4, 7, 5, 3, 1, 7, 5, 4, 9, 8, 6, 2, 5, 3, 4, 7, 1, 2, 6, 9, 8, 1, 7, 8, 4, 9, 6, 2, 5, 3, 6, 2, 9, 8, 5, 3, 1, 4, 7, 7, 6, 2, 1, 3, 4, 5, 8, 9, 9, 5, 3, 2, 6, 8, 7, 1, 4, 4, 8, 1, 9, 7, 5, 3, 2, 6],
medium,[0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 0, 0, 5, 0, 0, 4, 6, 8, 2, 0, 1, 0, 8, 6, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 7, 4, 1, 0, 3, 0, 9, 0, 8, 0, 6, 5, 8, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 4, 2, 0, 6, 0, 3, 4, 5, 6, 0, 0, 9, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0],[8, 6, 5, 9, 4, 3, 7, 2, 1, 9, 3, 7, 5, 1, 2, 4, 6, 8, 2, 4, 1, 7, 8, 6, 9, 3, 5, 6, 2, 9, 1, 5, 8, 3, 7, 4, 1, 7, 3, 2, 9, 4, 8, 5, 6, 5, 8, 4, 6, 3, 7, 2, 1, 9, 7, 1, 8, 4, 2, 5, 6, 9, 3, 4, 5, 6, 3, 7, 9, 1, 8, 2, 3, 9, 2, 8, 6, 1, 5, 4, 7],
medium,[0, 0, 0, 0, 0, 0, 5, 0, 3, 2, 0, 0, 0, 0, 7, 1, 8, 4, 3, 6, 0, 4, 5, 0, 0, 0, 7, 0, 4, 6, 3, 2, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 1, 5, 6, 4, 0, 8, 0, 0, 0, 7, 6, 0, 2, 9, 6, 2, 4, 5, 0, 0, 0, 0, 8, 9, 0, 1, 0, 0, 0, 0, 0, 0],[4, 1, 7, 2, 8, 9, 5, 6, 3, 2, 5, 9, 6, 3, 7, 1, 8, 4, 3, 6, 8, 4, 5, 1, 2, 9, 7, 1, 4, 6, 3, 2, 8, 9, 7, 5, 5, 9, 2, 7, 6, 4, 8, 3, 1, 7, 8, 3, 9, 1, 5, 6, 4, 2, 8, 3, 5, 1, 7, 6, 4, 2, 9, 6, 2, 4, 5, 9, 3, 7, 1, 8, 9, 7, 1, 8, 4, 2, 3, 5, 6],
easy,[0, 0, 0, 4, 7, 0, 0, 6, 0, 0, 0, 0, 2, 0, 5, 0, 0, 8, 4, 6, 3, 0, 9, 1, 0, 0, 2, 0, 0, 0, 5, 3, 0, 0, 1, 7, 0, 0, 4, 0, 8, 0, 9, 0, 0, 3, 7, 0, 0, 2, 4, 0, 0, 0, 5, 0, 0, 6, 4, 0, 7, 9, 1, 8, 0, 0, 3, 0, 7, 0, 0, 0, 0, 4, 0, 0, 5, 2, 0, 0, 0],[2, 8, 5, 4, 7, 3, 1, 6, 9, 9, 1, 7, 2, 6, 5, 3, 4, 8, 4, 6, 3, 8, 9, 1, 5, 7, 2, 6, 2, 8, 5, 3, 9, 4, 1, 7, 1, 5, 4, 7, 8, 6, 9, 2, 3, 3, 7, 9, 1, 2, 4, 6, 8, 5, 5, 3, 2, 6, 4, 8, 7, 9, 1, 8, 9, 6, 3, 1, 7, 2, 5, 4, 7, 4, 1, 9, 5, 2, 8, 3, 6],
easy,[0, 7, 3, 2, 8, 0, 0, 9, 0, 0, 0, 1, 7, 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 3, 7, 0, 0, 0, 3, 5, 0, 9, 2, 0, 0, 0, 0, 2, 7, 0, 3, 0, 5, 1, 0, 0, 0, 0, 8, 5, 0, 2, 3, 0, 0, 0, 4, 6, 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 8, 9, 0, 0, 0, 9, 0, 0, 7, 1, 4, 2, 0],[5, 7, 3, 2, 8, 4, 1, 9, 6, 9, 8, 1, 7, 6, 5, 3, 4, 2, 2, 4, 6, 9, 1, 3, 7, 5, 8, 4, 3, 5, 1, 9, 2, 6, 8, 7, 8, 2, 7, 4, 3, 6, 5, 1, 9, 1, 6, 9, 8, 5, 7, 2, 3, 4, 3, 5, 4, 6, 2, 9, 8, 7, 1, 7, 1, 2, 5, 4, 8, 9, 6, 3, 6, 9, 8, 3, 7, 1, 4, 2, 5],
easy,[0, 0, 2, 0, 0, 7, 1, 3, 6, 0, 0, 0, 0, 3, 6, 8, 9, 0, 6, 3, 0, 2, 0, 0, 0, 0, 7, 5, 0, 0, 3, 4, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 5, 4, 0, 0, 0, 0, 6, 1, 0, 0, 8, 1, 0, 0, 0, 0, 4, 0, 8, 3, 0, 7, 3, 1, 8, 0, 0, 0, 0, 8, 6, 4, 7, 0, 0, 2, 0, 0],[4, 8, 2, 9, 5, 7, 1, 3, 6, 7, 5, 1, 4, 3, 6, 8, 9, 2, 6, 3, 9, 2, 1, 8, 5, 4, 7, 5, 2, 8, 3, 4, 9, 6, 7, 1, 9, 1, 6, 8, 7, 2, 3, 5, 4, 3, 4, 7, 5, 6, 1, 9, 2, 8, 1, 9, 5, 6, 2, 4, 7, 8, 3, 2, 7, 3, 1, 8, 5, 4, 6, 9, 8, 6, 4, 7, 9, 3, 2, 1, 5],
hard,[0, 1, 7, 0, 0, 0, 0, 0, 5, 6, 0, 3, 0, 0, 5, 0, 8, 7, 0, 0, 0, 0, 3, 4, 2, 0, 1, 1, 0, 0, 0, 4, 7, 0, 0, 0, 9, 0, 0, 5, 0, 3, 0, 0, 2, 0, 0, 0, 2, 9, 0, 0, 0, 4, 4, 0, 2, 3, 8, 0, 0, 0, 0, 8, 5, 0, 4, 0, 0, 3, 0, 6, 7, 0, 0, 0, 0, 0, 1, 4, 0],[2, 1, 7, 9, 6, 8, 4, 3, 5, 6, 4, 3, 1, 2, 5, 9, 8, 7, 5, 9, 8, 7, 3, 4, 2, 6, 1, 1, 2, 6, 8, 4, 7, 5, 9, 3, 9, 8, 4, 5, 1, 3, 6, 7, 2, 3, 7, 5, 2, 9, 6, 8, 1, 4, 4, 6, 2, 3, 8, 1, 7, 5, 9, 8, 5, 1, 4, 7, 9, 3, 2, 6, 7, 3, 9, 6, 5, 2, 1, 4, 8],
medium,[0, 0, 7, 1, 0, 4, 9, 8, 5, 9, 0, 5, 0, 0, 0, 3, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 6, 0, 5, 0, 3, 4, 0, 0, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 0, 0, 5, 6, 0, 2, 0, 5, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 8, 0, 0, 0, 2, 0, 3, 1, 3, 6, 9, 0, 2, 8, 0, 0],[6, 2, 7, 1, 3, 4, 9, 8, 5, 9, 4, 5, 8, 6, 7, 3, 1, 2, 8, 1, 3, 5, 2, 9, 7, 4, 6, 2, 5, 9, 3, 4, 8, 1, 6, 7, 7, 6, 4, 2, 9, 1, 5, 3, 8, 3, 8, 1, 7, 5, 6, 4, 2, 9, 5, 9, 2, 4, 8, 3, 6, 7, 1, 4, 7, 8, 6, 1, 5, 2, 9, 3, 1, 3, 6, 9, 7, 2, 8, 5, 4],
easy,[6, 0, 0, 8, 0, 0, 0, 1, 4, 0, 0, 8, 7, 1, 6, 0, 0, 0, 9, 0, 0, 0, 5, 4, 0, 2, 0, 5, 0, 0, 0, 6, 0, 0, 7, 0, 0, 6, 2, 0, 0, 0, 1, 9, 0, 0, 9, 0, 0, 3, 0, 0, 0, 6, 0, 3, 0, 5, 9, 0, 0, 0, 7, 0, 0, 0, 6, 7, 8, 5, 0, 0, 7, 8, 0, 0, 0, 3, 0, 0, 1],[6, 5, 3, 8, 2, 9, 7, 1, 4, 4, 2, 8, 7, 1, 6, 3, 5, 9, 9, 7, 1, 3, 5, 4, 6, 2, 8, 5, 1, 4, 9, 6, 2, 8, 7, 3, 3, 6, 2, 4, 8, 7, 1, 9, 5, 8, 9, 7, 1, 3, 5, 2, 4, 6, 2, 3, 6, 5, 9, 1, 4, 8, 7, 1, 4, 9, 6, 7, 8, 5, 3, 2, 7, 8, 5, 2, 4, 3, 9, 6, 1],
hard,[0, 6, 0, 0, 1, 7, 9, 0, 0, 0, 0, 0, 2, 9, 4, 3, 6, 0, 0, 5, 0, 3, 0, 0, 0, 7, 4, 8, 7, 0, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 9, 0, 0, 0, 8, 0, 0, 5, 3, 5, 8, 0, 0, 0, 9, 0, 1, 0, 0, 9, 7, 6, 3, 2, 0, 0, 0, 0, 0, 2, 8, 5, 0, 0, 3, 0],[3, 6, 4, 5, 1, 7, 9, 8, 2, 7, 1, 8, 2, 9, 4, 3, 6, 5, 2, 5, 9, 3, 6, 8, 1, 7, 4, 8, 7, 5, 9, 4, 3, 6, 2, 1, 4, 3, 6, 1, 2, 5, 8, 9, 7, 9, 2, 1, 7, 8, 6, 4, 5, 3, 5, 8, 3, 4, 7, 9, 2, 1, 6, 1, 9, 7, 6, 3, 2, 5, 4, 8, 6, 4, 2, 8, 5, 1, 7, 3, 9],
medium,[0, 9, 0, 3, 8, 0, 4, 0, 0, 4, 0, 3, 0, 0, 0, 0, 8, 0, 6, 0, 8, 0, 1, 0, 0, 0, 5, 1, 4, 2, 9, 0, 5, 0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 4, 0, 1, 9, 5, 7, 7, 0, 0, 0, 4, 0, 2, 0, 9, 0, 6, 0, 0, 0, 0, 5, 0, 8, 0, 0, 9, 0, 3, 7, 0, 4, 0],[5, 9, 7, 3, 8, 6, 4, 1, 2, 4, 1, 3, 2, 5, 9, 7, 8, 6, 6, 2, 8, 7, 1, 4, 3, 9, 5, 1, 4, 2, 9, 7, 5, 8, 6, 3, 9, 7, 5, 8, 6, 3, 1, 2, 4, 8, 3, 6, 4, 2, 1, 9, 5, 7, 7, 5, 1, 6, 4, 8, 2, 3, 9, 3, 6, 4, 1, 9, 2, 5, 7, 8, 2, 8, 9, 5, 3, 7, 6, 4, 1],
easy,[0, 0, 5, 0, 0, 1, 0, 0, 7, 0, 0, 0, 7, 6, 4, 0, 0, 0, 7, 6, 0, 0, 0, 5, 9, 2, 0, 3, 0, 0, 0, 0, 2, 4, 9, 0, 6, 9, 0, 0, 7, 0, 0, 5, 3, 0, 1, 8, 3, 0, 0, 0, 0, 2, 0, 7, 9, 1, 0, 0, 0, 4, 6, 0, 0, 0, 9, 4, 7, 0, 0, 0, 1, 0, 0, 5, 0, 0, 2, 0, 0],[8, 4, 5, 2, 9, 1, 6, 3, 7, 9, 2, 3, 7, 6, 4, 5, 8, 1, 7, 6, 1, 8, 3, 5, 9, 2, 4, 3, 5, 7, 6, 1, 2, 4, 9, 8, 6, 9, 2, 4, 7, 8, 1, 5, 3, 4, 1, 8, 3, 5, 9, 7, 6, 2, 5, 7, 9, 1, 2, 3, 8, 4, 6, 2, 8, 6, 9, 4, 7, 3, 1, 5, 1, 3, 4, 5, 8, 6, 2, 7, 9],
easy,[2, 0, 3, 0, 9, 0, 0, 8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 9, 0, 8, 9, 1, 0, 6, 0, 3, 0, 6, 5, 4, 0, 7, 0, 1, 0, 0, 0, 0, 0, 5, 1, 4, 0, 0, 0, 0, 0, 7, 0, 2, 0, 8, 5, 4, 0, 2, 0, 8, 0, 9, 5, 4, 0, 3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 7, 0, 0, 6, 0, 3, 0, 8],[2, 6, 3, 7, 9, 5, 4, 8, 1, 5, 4, 1, 3, 8, 2, 7, 6, 9, 7, 8, 9, 1, 4, 6, 2, 3, 5, 6, 5, 4, 9, 7, 8, 1, 2, 3, 8, 3, 2, 5, 1, 4, 9, 7, 6, 9, 1, 7, 6, 2, 3, 8, 5, 4, 1, 2, 6, 8, 3, 9, 5, 4, 7, 3, 9, 8, 4, 5, 7, 6, 1, 2, 4, 7, 5, 2, 6, 1, 3, 9, 8],
hard,[9, 0, 6, 0, 4, 3, 0, 0, 0, 0, 4, 5, 0, 0, 0, 0, 0, 0, 1, 0, 7, 8, 0, 5, 4, 3, 9, 0, 0, 0, 0, 1, 0, 9, 0, 2, 0, 1, 0, 3, 0, 9, 0, 6, 0, 4, 0, 9, 0, 7, 0, 0, 0, 0, 6, 3, 8, 4, 0, 2, 1, 0, 7, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 0, 0, 1, 3, 0, 6, 0, 8],[9, 8, 6, 7, 4, 3, 2, 5, 1, 3, 4, 5, 9, 2, 1, 7, 8, 6, 1, 2, 7, 8, 6, 5, 4, 3, 9, 8, 6, 3, 5, 1, 4, 9, 7, 2, 7, 1, 2, 3, 8, 9, 5, 6, 4, 4, 5, 9, 2, 7, 6, 8, 1, 3, 6, 3, 8, 4, 5, 2, 1, 9, 7, 2, 7, 1, 6, 9, 8, 3, 4, 5, 5, 9, 4, 1, 3, 7, 6, 2, 8],
hard,[0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 9, 3, 0, 0, 0, 6, 0, 8, 0, 0, 0, 7, 0, 9, 2, 4, 0, 0, 6, 4, 0, 9, 1, 0, 0, 0, 9, 0, 8, 4, 0, 3, 1, 0, 5, 0, 0, 0, 6, 2, 0, 9, 3, 0, 0, 8, 5, 3, 0, 4, 0, 0, 0, 6, 0, 9, 0, 0, 0, 4, 1, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0],[2, 4, 1, 8, 5, 6, 3, 7, 9, 7, 9, 3, 1, 4, 2, 6, 5, 8, 8, 5, 6, 7, 3, 9, 2, 4, 1, 3, 6, 4, 5, 9, 1, 8, 2, 7, 9, 2, 8, 4, 7, 3, 1, 6, 5, 5, 1, 7, 6, 2, 8, 9, 3, 4, 1, 8, 5, 3, 6, 4, 7, 9, 2, 6, 7, 9, 2, 8, 5, 4, 1, 3, 4, 3, 2, 9, 1, 7, 5, 8, 6],
easy,[0, 8, 3, 6, 0, 0, 4, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7, 1, 0, 9, 0, 4, 7, 0, 0, 3, 5, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 6, 8, 9, 5, 7, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 6, 4, 0, 0, 3, 8, 0, 2, 0, 9, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 1, 0, 0, 4, 3, 7, 0],[7, 8, 3, 6, 5, 9, 4, 1, 2, 6, 2, 4, 1, 3, 8, 5, 9, 7, 1, 5, 9, 2, 4, 7, 6, 8, 3, 5, 4, 8, 7, 6, 2, 9, 3, 1, 3, 1, 6, 8, 9, 5, 7, 2, 4, 2, 9, 7, 4, 1, 3, 8, 5, 6, 4, 7, 5, 3, 8, 1, 2, 6, 9, 8, 3, 2, 9, 7, 6, 1, 4, 5, 9, 6, 1, 5, 2, 4, 3, 7, 8],
hard,[0, 6, 9, 5, 0, 0, 2, 1, 4, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 4, 0, 1, 0, 0, 0, 9, 0, 9, 0, 7, 2, 1, 0, 0, 0, 0, 0, 2, 0, 6, 0, 4, 0, 0, 0, 0, 0, 8, 9, 4, 0, 7, 0, 2, 0, 0, 0, 3, 0, 9, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 4, 7, 0, 0, 9, 8, 3, 0],[8, 6, 9, 5, 7, 3, 2, 1, 4, 7, 2, 1, 9, 4, 8, 3, 6, 5, 5, 3, 4, 6, 1, 2, 7, 8, 9, 4, 9, 8, 7, 2, 1, 6, 5, 3, 1, 7, 2, 3, 6, 5, 4, 9, 8, 3, 5, 6, 8, 9, 4, 1, 7, 2, 2, 8, 5, 1, 3, 7, 9, 4, 6, 9, 1, 3, 4, 8, 6, 5, 2, 7, 6, 4, 7, 2, 5, 9, 8, 3, 1],
medium,[0, 8, 1, 5, 6, 0, 0, 0, 0, 3, 6, 7, 0, 8, 0, 1, 0, 0, 0, 0, 5, 0, 3, 2, 0, 7, 0, 9, 0, 0, 2, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 0, 0, 1, 0, 0, 3, 0, 2, 0, 4, 5, 0, 3, 0, 0, 0, 0, 3, 0, 2, 0, 4, 9, 5, 0, 0, 0, 0, 1, 8, 2, 6, 0],[2, 8, 1, 5, 6, 7, 9, 3, 4, 3, 6, 7, 9, 8, 4, 1, 5, 2, 4, 9, 5, 1, 3, 2, 8, 7, 6, 9, 3, 8, 2, 7, 5, 6, 4, 1, 1, 7, 2, 6, 4, 3, 5, 8, 9, 6, 5, 4, 8, 9, 1, 7, 2, 3, 7, 2, 6, 4, 5, 9, 3, 1, 8, 8, 1, 3, 7, 2, 6, 4, 9, 5, 5, 4, 9, 3, 1, 8, 2, 6, 7],
easy,[3, 1, 5, 6, 0, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 9, 0, 1, 0, 7, 0, 4, 0, 1, 0, 0, 2, 0, 9, 1, 0, 4, 0, 0, 8, 6, 0, 0, 0, 5, 0, 8, 0, 0, 0, 5, 4, 0, 0, 9, 0, 3, 2, 0, 1, 0, 0, 2, 0, 4, 0, 9, 0, 9, 0, 6, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 7, 1, 6, 3],[3, 1, 5, 6, 2, 9, 7, 4, 8, 6, 2, 4, 7, 8, 5, 9, 3, 1, 8, 7, 9, 4, 3, 1, 6, 5, 2, 7, 9, 1, 3, 4, 2, 5, 8, 6, 2, 6, 3, 5, 7, 8, 4, 1, 9, 5, 4, 8, 1, 9, 6, 3, 2, 7, 1, 3, 7, 2, 6, 4, 8, 9, 5, 9, 5, 6, 8, 1, 3, 2, 7, 4, 4, 8, 2, 9, 5, 7, 1, 6, 3],
easy,[7, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 1, 9, 0, 7, 0, 0, 0, 5, 1, 0, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 4, 7, 3, 0, 1, 6, 8, 9, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 7, 6, 0, 4, 3, 0, 0, 0, 9, 0, 3, 8, 0, 0, 5, 3, 0, 4, 2, 0, 0, 0, 0, 7],[7, 9, 3, 5, 4, 2, 8, 1, 6, 8, 2, 6, 1, 9, 3, 7, 5, 4, 4, 5, 1, 6, 8, 7, 2, 9, 3, 1, 6, 8, 9, 5, 4, 3, 7, 2, 5, 4, 7, 3, 2, 1, 6, 8, 9, 9, 3, 2, 8, 7, 6, 5, 4, 1, 2, 1, 5, 7, 6, 9, 4, 3, 8, 6, 7, 9, 4, 3, 8, 1, 2, 5, 3, 8, 4, 2, 1, 5, 9, 6, 7],
medium,[0, 9, 0, 0, 0, 0, 8, 0, 2, 0, 0, 8, 2, 0, 4, 1, 3, 6, 0, 4, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 8, 1, 9, 0, 0, 3, 0, 1, 0, 0, 7, 0, 0, 9, 0, 9, 0, 0, 3, 6, 5, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 6, 0, 7, 5, 4, 9, 0, 6, 2, 0, 0, 6, 0, 1, 0, 0, 0, 0, 5, 0],[1, 9, 3, 6, 5, 7, 8, 4, 2, 5, 7, 8, 2, 9, 4, 1, 3, 6, 2, 4, 6, 1, 8, 3, 9, 7, 5, 4, 6, 7, 8, 1, 9, 5, 2, 3, 3, 1, 5, 4, 7, 2, 6, 9, 8, 9, 8, 2, 3, 6, 5, 7, 1, 4, 8, 2, 9, 5, 4, 1, 3, 6, 7, 7, 5, 4, 9, 3, 6, 2, 8, 1, 6, 3, 1, 7, 2, 8, 4, 5, 9],
medium,[0, 9, 2, 0, 6, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 5, 0, 2, 0, 8, 0, 7, 2, 0, 0, 9, 0, 4, 3, 8, 0, 9, 0, 6, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 4, 0, 0, 1, 0, 7, 0, 2, 3, 8, 0, 1, 0, 0, 4, 5, 0, 8, 0, 8, 0, 9, 0, 0, 0, 1, 0, 0, 5, 0, 0, 0, 8, 0, 3, 2, 0],[1, 9, 2, 5, 6, 4, 8, 7, 3, 7, 4, 3, 8, 1, 9, 5, 6, 2, 6, 8, 5, 7, 2, 3, 4, 9, 1, 4, 3, 8, 1, 9, 2, 6, 5, 7, 2, 6, 7, 3, 5, 8, 9, 1, 4, 9, 5, 1, 4, 7, 6, 2, 3, 8, 3, 1, 6, 2, 4, 5, 7, 8, 9, 8, 2, 9, 6, 3, 7, 1, 4, 5, 5, 7, 4, 9, 8, 1, 3, 2, 6],
hard,[0, 6, 0, 8, 5, 0, 0, 0, 9, 0, 8, 5, 0, 7, 0, 6, 0, 0, 0, 0, 0, 4, 0, 3, 2, 0, 5, 0, 0, 7, 0, 0, 2, 0, 0, 4, 6, 0, 0, 0, 1, 0, 0, 0, 8, 1, 0, 0, 9, 0, 0, 3, 0, 0, 5, 0, 1, 3, 0, 6, 0, 0, 0, 0, 0, 6, 0, 8, 0, 4, 5, 0, 3, 0, 0, 0, 2, 4, 0, 9, 0],[2, 6, 3, 8, 5, 1, 7, 4, 9, 4, 8, 5, 2, 7, 9, 6, 3, 1, 7, 1, 9, 4, 6, 3, 2, 8, 5, 8, 9, 7, 6, 3, 2, 5, 1, 4, 6, 3, 4, 7, 1, 5, 9, 2, 8, 1, 5, 2, 9, 4, 8, 3, 6, 7, 5, 4, 1, 3, 9, 6, 8, 7, 2, 9, 2, 6, 1, 8, 7, 4, 5, 3, 3, 7, 8, 5, 2, 4, 1, 9, 6],
hard,[0, 0, 0, 0, 0, 5, 0, 6, 1, 4, 0, 0, 7, 0, 8, 9, 2, 0, 0, 3, 0, 2, 0, 4, 0, 5, 0, 9, 0, 0, 0, 0, 6, 7, 3, 0, 0, 0, 3, 0, 7, 0, 2, 0, 0, 0, 2, 7, 8, 0, 0, 0, 0, 5, 0, 9, 0, 6, 0, 2, 0, 8, 0, 0, 5, 6, 4, 0, 7, 0, 0, 9, 3, 4, 0, 1, 0, 0, 0, 0, 0],[8, 7, 2, 3, 9, 5, 4, 6, 1, 4, 6, 5, 7, 1, 8, 9, 2, 3, 1, 3, 9, 2, 6, 4, 8, 5, 7, 9, 1, 4, 5, 2, 6, 7, 3, 8, 5, 8, 3, 9, 7, 1, 2, 4, 6, 6, 2, 7, 8, 4, 3, 1, 9, 5, 7, 9, 1, 6, 3, 2, 5, 8, 4, 2, 5, 6, 4, 8, 7, 3, 1, 9, 3, 4, 8, 1, 5, 9, 6, 7, 2],
hard,[3, 0, 5, 8, 4, 0, 6, 2, 0, 0, 9, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 3, 5, 0, 7, 0, 8, 0, 0, 1, 0, 0, 5, 0, 8, 0, 5, 0, 9, 0, 0, 0, 2, 0, 1, 0, 7, 0, 6, 0, 0, 5, 0, 0, 1, 0, 4, 0, 8, 3, 0, 0, 0, 9, 0, 0, 0, 0, 0, 8, 4, 0, 0, 5, 7, 0, 9, 2, 1, 0, 6],[3, 1, 5, 8, 4, 7, 6, 2, 9, 7, 9, 8, 2, 6, 1, 3, 5, 4, 2, 4, 6, 3, 5, 9, 7, 1, 8, 6, 3, 1, 9, 2, 5, 4, 8, 7, 5, 8, 9, 7, 3, 4, 2, 6, 1, 4, 7, 2, 6, 1, 8, 5, 9, 3, 1, 6, 4, 5, 8, 3, 9, 7, 2, 9, 2, 3, 1, 7, 6, 8, 4, 5, 8, 5, 7, 4, 9, 2, 1, 3, 6],
easy,[0, 1, 0, 0, 0, 8, 5, 4, 0, 0, 0, 4, 2, 3, 0, 7, 0, 0, 3, 0, 0, 4, 7, 0, 0, 8, 6, 5, 0, 0, 0, 0, 3, 6, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 2, 8, 0, 0, 0, 0, 7, 8, 6, 0, 0, 1, 2, 0, 0, 5, 0, 0, 3, 0, 5, 4, 9, 0, 0, 0, 5, 1, 7, 0, 0, 0, 6, 0],[2, 1, 7, 9, 6, 8, 5, 4, 3, 6, 8, 4, 2, 3, 5, 7, 9, 1, 3, 9, 5, 4, 7, 1, 2, 8, 6, 5, 7, 8, 1, 9, 3, 6, 2, 4, 1, 4, 6, 5, 2, 7, 8, 3, 9, 9, 3, 2, 8, 4, 6, 1, 5, 7, 8, 6, 9, 3, 1, 2, 4, 7, 5, 7, 2, 3, 6, 5, 4, 9, 1, 8, 4, 5, 1, 7, 8, 9, 3, 6, 2],
easy,[9, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 9, 0, 2, 1, 5, 0, 0, 0, 5, 7, 0, 4, 0, 0, 6, 0, 0, 6, 0, 0, 9, 0, 1, 0, 8, 0, 0, 6, 0, 5, 0, 0, 9, 0, 2, 0, 1, 0, 0, 5, 0, 0, 1, 0, 0, 2, 0, 7, 3, 0, 0, 0, 9, 2, 5, 0, 8, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 2],[9, 1, 3, 8, 5, 6, 2, 7, 4, 6, 7, 4, 9, 3, 2, 1, 5, 8, 2, 8, 5, 7, 1, 4, 9, 3, 6, 7, 5, 6, 4, 2, 9, 8, 1, 3, 8, 3, 1, 6, 7, 5, 4, 2, 9, 4, 2, 9, 1, 8, 3, 5, 6, 7, 1, 6, 8, 2, 4, 7, 3, 9, 5, 3, 9, 2, 5, 6, 8, 7, 4, 1, 5, 4, 7, 3, 9, 1, 6, 8, 2],
medium,[0, 2, 4, 0, 0, 8, 3, 0, 0, 0, 3, 7, 2, 9, 0, 6, 1, 0, 8, 0, 0, 6, 3, 0, 0, 0, 0, 0, 0, 8, 0, 7, 0, 0, 4, 0, 3, 7, 0, 0, 0, 0, 0, 8, 2, 0, 9, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 5, 7, 0, 0, 4, 0, 8, 5, 0, 2, 3, 7, 6, 0, 0, 0, 3, 8, 0, 0, 2, 9, 0],[6, 2, 4, 7, 1, 8, 3, 5, 9, 5, 3, 7, 2, 9, 4, 6, 1, 8, 8, 1, 9, 6, 3, 5, 4, 2, 7, 1, 5, 8, 3, 7, 2, 9, 4, 6, 3, 7, 6, 1, 4, 9, 5, 8, 2, 4, 9, 2, 5, 8, 6, 1, 7, 3, 2, 6, 1, 9, 5, 7, 8, 3, 4, 9, 8, 5, 4, 2, 3, 7, 6, 1, 7, 4, 3, 8, 6, 1, 2, 9, 5],
hard,[6, 0, 0, 9, 7, 0, 0, 5, 0, 0, 1, 8, 0, 0, 0, 0, 0, 4, 0, 3, 5, 0, 6, 0, 9, 0, 0, 1, 5, 9, 2, 0, 6, 8, 0, 0, 0, 0, 6, 0, 0, 0, 5, 0, 0, 0, 0, 7, 1, 0, 5, 2, 3, 6, 0, 0, 1, 0, 2, 0, 4, 8, 0, 8, 0, 0, 0, 0, 0, 6, 7, 0, 0, 6, 0, 0, 8, 7, 0, 0, 5],[6, 4, 2, 9, 7, 1, 3, 5, 8, 9, 1, 8, 3, 5, 2, 7, 6, 4, 7, 3, 5, 8, 6, 4, 9, 2, 1, 1, 5, 9, 2, 3, 6, 8, 4, 7, 3, 2, 6, 7, 4, 8, 5, 1, 9, 4, 8, 7, 1, 9, 5, 2, 3, 6, 5, 7, 1, 6, 2, 9, 4, 8, 3, 8, 9, 4, 5, 1, 3, 6, 7, 2, 2, 6, 3, 4, 8, 7, 1, 9, 5],
easy,[0, 7, 0, 2, 5, 0, 3, 8, 0, 0, 8, 6, 0, 0, 7, 1, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 0, 6, 9, 6, 3, 0, 9, 0, 5, 0, 1, 4, 8, 1, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 6, 0, 0, 0, 0, 0, 9, 2, 5, 0, 0, 6, 4, 0, 0, 6, 1, 0, 9, 3, 0, 5, 0],[1, 7, 4, 2, 5, 9, 3, 8, 6, 2, 8, 6, 3, 4, 7, 1, 9, 5, 9, 5, 3, 8, 1, 6, 4, 7, 2, 4, 2, 5, 1, 3, 8, 7, 6, 9, 6, 3, 7, 9, 2, 5, 8, 1, 4, 8, 1, 9, 6, 7, 4, 5, 2, 3, 5, 4, 8, 7, 6, 2, 9, 3, 1, 3, 9, 2, 5, 8, 1, 6, 4, 7, 7, 6, 1, 4, 9, 3, 2, 5, 8],
medium,[1, 0, 0, 0, 0, 0, 3, 9, 0, 6, 5, 9, 4, 3, 0, 7, 0, 0, 0, 0, 0, 6, 0, 9, 0, 8, 0, 5, 0, 0, 0, 4, 6, 0, 0, 3, 0, 3, 0, 1, 0, 5, 0, 6, 0, 8, 0, 0, 3, 9, 0, 0, 0, 5, 0, 8, 0, 7, 0, 1, 0, 0, 0, 0, 0, 5, 0, 2, 4, 1, 3, 9, 0, 2, 1, 0, 0, 0, 0, 0, 8],[1, 4, 8, 5, 7, 2, 3, 9, 6, 6, 5, 9, 4, 3, 8, 7, 2, 1, 3, 7, 2, 6, 1, 9, 5, 8, 4, 5, 9, 7, 2, 4, 6, 8, 1, 3, 2, 3, 4, 1, 8, 5, 9, 6, 7, 8, 1, 6, 3, 9, 7, 2, 4, 5, 9, 8, 3, 7, 6, 1, 4, 5, 2, 7, 6, 5, 8, 2, 4, 1, 3, 9, 4, 2, 1, 9, 5, 3, 6, 7, 8],
medium,[0, 0, 4, 0, 7, 1, 0, 0, 0, 1, 0, 0, 6, 4, 2, 0, 8, 3, 7, 0, 0, 8, 0, 0, 9, 4, 0, 3, 0, 0, 4, 0, 6, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 5, 0, 8, 0, 0, 4, 0, 2, 7, 0, 0, 4, 0, 0, 9, 9, 8, 0, 2, 6, 5, 0, 0, 7, 0, 0, 0, 7, 3, 0, 5, 0, 0],[8, 3, 4, 9, 7, 1, 6, 5, 2, 1, 5, 9, 6, 4, 2, 7, 8, 3, 7, 6, 2, 8, 5, 3, 9, 4, 1, 3, 9, 8, 4, 1, 6, 2, 7, 5, 4, 1, 5, 3, 2, 7, 8, 9, 6, 2, 7, 6, 5, 9, 8, 1, 3, 4, 5, 2, 7, 1, 8, 4, 3, 6, 9, 9, 8, 3, 2, 6, 5, 4, 1, 7, 6, 4, 1, 7, 3, 9, 5, 2, 8],
medium,[0, 0, 0, 2, 0, 4, 3, 0, 0, 9, 0, 2, 0, 0, 8, 1, 6, 0, 3, 0, 0, 0, 0, 9, 4, 0, 2, 7, 0, 0, 0, 4, 0, 9, 0, 3, 5, 2, 0, 0, 0, 0, 0, 1, 8, 8, 0, 3, 0, 2, 0, 0, 0, 6, 2, 0, 6, 9, 0, 0, 0, 0, 4, 0, 7, 9, 4, 0, 0, 6, 0, 5, 0, 0, 5, 6, 0, 3, 0, 0, 0],[6, 5, 7, 2, 1, 4, 3, 8, 9, 9, 4, 2, 5, 3, 8, 1, 6, 7, 3, 1, 8, 7, 6, 9, 4, 5, 2, 7, 6, 1, 8, 4, 5, 9, 2, 3, 5, 2, 4, 3, 9, 6, 7, 1, 8, 8, 9, 3, 1, 2, 7, 5, 4, 6, 2, 3, 6, 9, 5, 1, 8, 7, 4, 1, 7, 9, 4, 8, 2, 6, 3, 5, 4, 8, 5, 6, 7, 3, 2, 9, 1],
medium,[0, 2, 6, 0, 0, 9, 0, 7, 1, 0, 0, 4, 0, 1, 7, 6, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0, 1, 4, 2, 3, 1, 0, 0, 0, 9, 6, 8, 7, 4, 0, 6, 0, 0, 0, 0, 0, 9, 0, 0, 0, 7, 0, 0, 0, 0, 0, 6, 3, 9, 5, 0, 2, 0, 0, 4, 7, 0, 8, 0, 0, 1, 5, 0],[5, 2, 6, 3, 8, 9, 4, 7, 1, 8, 9, 4, 5, 1, 7, 6, 3, 2, 3, 1, 7, 4, 2, 6, 8, 9, 5, 6, 5, 9, 2, 3, 8, 7, 1, 4, 2, 3, 1, 7, 4, 5, 9, 6, 8, 7, 4, 8, 6, 9, 1, 5, 2, 3, 9, 8, 5, 1, 7, 2, 3, 4, 6, 1, 6, 3, 9, 5, 4, 2, 8, 7, 4, 7, 2, 8, 6, 3, 1, 5, 9],
medium,[0, 1, 0, 0, 0, 8, 0, 0, 7, 0, 0, 4, 7, 0, 5, 1, 0, 9, 2, 5, 0, 0, 9, 0, 0, 6, 8, 4, 0, 0, 0, 0, 2, 0, 0, 3, 8, 2, 0, 0, 0, 0, 0, 4, 5, 5, 0, 0, 6, 0, 0, 0, 0, 2, 1, 9, 0, 0, 3, 0, 0, 7, 4, 3, 0, 2, 8, 0, 4, 5, 0, 0, 7, 0, 0, 1, 0, 0, 0, 2, 0],[9, 1, 3, 4, 6, 8, 2, 5, 7, 6, 8, 4, 7, 2, 5, 1, 3, 9, 2, 5, 7, 3, 9, 1, 4, 6, 8, 4, 7, 9, 5, 8, 2, 6, 1, 3, 8, 2, 6, 9, 1, 3, 7, 4, 5, 5, 3, 1, 6, 4, 7, 9, 8, 2, 1, 9, 5, 2, 3, 6, 8, 7, 4, 3, 6, 2, 8, 7, 4, 5, 9, 1, 7, 4, 8, 1, 5, 9, 3, 2, 6],
hard,[7, 9, 8, 0, 5, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 6, 6, 0, 3, 9, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 7, 0, 8, 1, 7, 0, 8, 0, 6, 0, 3, 9, 9, 0, 5, 0, 0, 3, 0, 0, 4, 0, 0, 0, 0, 0, 8, 9, 0, 3, 3, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0, 3, 0, 2, 7, 5],[7, 9, 8, 6, 5, 1, 3, 4, 2, 5, 2, 1, 3, 4, 7, 8, 9, 6, 6, 4, 3, 9, 8, 2, 1, 5, 7, 2, 3, 6, 4, 9, 5, 7, 1, 8, 1, 7, 4, 8, 2, 6, 5, 3, 9, 9, 8, 5, 7, 1, 3, 6, 2, 4, 4, 1, 2, 5, 7, 8, 9, 6, 3, 3, 5, 7, 2, 6, 9, 4, 8, 1, 8, 6, 9, 1, 3, 4, 2, 7, 5],
medium,[0, 0, 0, 0, 0, 6, 0, 5, 0, 9, 0, 6, 1, 0, 3, 2, 0, 0, 5, 3, 0, 0, 4, 0, 8, 0, 0, 3, 6, 9, 0, 2, 0, 0, 0, 8, 0, 0, 0, 6, 7, 9, 0, 0, 0, 7, 0, 0, 0, 8, 0, 9, 4, 6, 0, 0, 3, 0, 1, 0, 0, 2, 5, 0, 0, 5, 4, 0, 7, 3, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0],[4, 2, 7, 8, 9, 6, 1, 5, 3, 9, 8, 6, 1, 5, 3, 2, 7, 4, 5, 3, 1, 7, 4, 2, 8, 6, 9, 3, 6, 9, 5, 2, 4, 7, 1, 8, 1, 4, 8, 6, 7, 9, 5, 3, 2, 7, 5, 2, 3, 8, 1, 9, 4, 6, 6, 7, 3, 9, 1, 8, 4, 2, 5, 2, 9, 5, 4, 6, 7, 3, 8, 1, 8, 1, 4, 2, 3, 5, 6, 9, 7],
hard,[0, 0, 0, 8, 2, 6, 1, 0, 9, 0, 1, 2, 4, 0, 7, 8, 0, 5, 9, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 2, 0, 3, 0, 5, 0, 0, 0, 6, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 8, 4, 0, 8, 1, 0, 9, 7, 2, 0, 5, 0, 9, 3, 7, 8, 0, 0, 0],[7, 5, 3, 8, 2, 6, 1, 4, 9, 6, 1, 2, 4, 9, 7, 8, 3, 5, 9, 8, 4, 5, 3, 1, 2, 7, 6, 3, 7, 5, 9, 1, 4, 6, 8, 2, 8, 4, 1, 2, 6, 3, 9, 5, 7, 2, 9, 6, 7, 8, 5, 3, 1, 4, 1, 3, 7, 6, 4, 2, 5, 9, 8, 4, 6, 8, 1, 5, 9, 7, 2, 3, 5, 2, 9, 3, 7, 8, 4, 6, 1],
medium,[3, 0, 0, 6, 0, 9, 0, 5, 8, 0, 6, 8, 0, 0, 0, 0, 7, 0, 2, 0, 0, 3, 0, 8, 1, 0, 0, 9, 0, 0, 0, 0, 1, 0, 8, 0, 0, 0, 5, 9, 0, 4, 6, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 4, 0, 0, 4, 7, 0, 3, 0, 0, 9, 0, 3, 0, 0, 0, 0, 5, 1, 0, 1, 9, 0, 8, 0, 5, 0, 0, 7],[3, 7, 1, 6, 4, 9, 2, 5, 8, 4, 6, 8, 1, 5, 2, 9, 7, 3, 2, 5, 9, 3, 7, 8, 1, 4, 6, 9, 4, 3, 2, 6, 1, 7, 8, 5, 7, 8, 5, 9, 3, 4, 6, 2, 1, 6, 1, 2, 5, 8, 7, 3, 9, 4, 5, 2, 4, 7, 1, 3, 8, 6, 9, 8, 3, 7, 4, 9, 6, 5, 1, 2, 1, 9, 6, 8, 2, 5, 4, 3, 7],
hard,[0, 2, 1, 3, 7, 0, 0, 0, 0, 0, 6, 3, 0, 0, 1, 9, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 7, 3, 7, 8, 0, 4, 0, 0, 0, 0, 0, 0, 2, 9, 0, 3, 7, 0, 0, 0, 0, 0, 0, 8, 0, 3, 2, 6, 1, 3, 0, 0, 0, 5, 0, 0, 0, 9, 0, 7, 1, 0, 0, 6, 5, 0, 0, 0, 0, 0, 3, 6, 8, 9, 0],[8, 2, 1, 3, 7, 9, 4, 6, 5, 7, 6, 3, 4, 5, 1, 9, 8, 2, 5, 9, 4, 2, 6, 8, 1, 3, 7, 3, 7, 8, 6, 4, 2, 5, 1, 9, 6, 5, 2, 9, 1, 3, 7, 4, 8, 4, 1, 9, 5, 8, 7, 3, 2, 6, 1, 3, 6, 8, 9, 5, 2, 7, 4, 9, 8, 7, 1, 2, 4, 6, 5, 3, 2, 4, 5, 7, 3, 6, 8, 9, 1],
medium,[0, 0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 1, 0, 9, 8, 2, 0, 3, 0, 4, 0, 0, 5, 0, 1, 0, 7, 0, 3, 0, 0, 4, 9, 7, 0, 0, 7, 9, 5, 0, 0, 0, 3, 1, 4, 0, 0, 6, 1, 3, 0, 0, 8, 0, 5, 0, 9, 0, 6, 0, 0, 4, 0, 3, 0, 4, 2, 8, 0, 9, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0],[9, 5, 2, 3, 7, 1, 4, 6, 8, 6, 7, 1, 4, 9, 8, 2, 5, 3, 8, 4, 3, 6, 5, 2, 1, 9, 7, 1, 3, 8, 5, 4, 9, 7, 2, 6, 7, 9, 5, 8, 2, 6, 3, 1, 4, 4, 2, 6, 1, 3, 7, 5, 8, 9, 5, 1, 9, 7, 6, 3, 8, 4, 2, 3, 6, 4, 2, 8, 5, 9, 7, 1, 2, 8, 7, 9, 1, 4, 6, 3, 5],
hard,[0, 6, 0, 9, 7, 0, 0, 5, 0, 7, 0, 0, 4, 3, 1, 0, 8, 9, 0, 9, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0, 7, 8, 1, 0, 0, 0, 8, 0, 6, 0, 5, 0, 0, 0, 7, 6, 1, 0, 9, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 6, 5, 0, 8, 9, 2, 0, 0, 1, 0, 1, 0, 0, 4, 3, 0, 6, 0],[3, 6, 4, 9, 7, 8, 1, 5, 2, 7, 2, 5, 4, 3, 1, 6, 8, 9, 8, 9, 1, 6, 2, 5, 7, 4, 3, 2, 4, 9, 3, 5, 7, 8, 1, 6, 1, 3, 8, 2, 6, 4, 5, 9, 7, 5, 7, 6, 1, 8, 9, 3, 2, 4, 4, 8, 2, 7, 1, 6, 9, 3, 5, 6, 5, 3, 8, 9, 2, 4, 7, 1, 9, 1, 7, 5, 4, 3, 2, 6, 8],
easy,[0, 0, 0, 0, 0, 8, 7, 1, 0, 7, 0, 0, 0, 6, 0, 0, 0, 8, 0, 6, 0, 7, 0, 4, 0, 9, 5, 1, 8, 0, 0, 9, 0, 0, 6, 4, 0, 0, 4, 0, 0, 0, 9, 0, 0, 6, 2, 0, 0, 5, 0, 0, 3, 1, 2, 7, 0, 1, 0, 9, 0, 5, 0, 9, 0, 0, 0, 3, 0, 0, 0, 7, 0, 4, 1, 5, 0, 0, 0, 0, 0],[4, 9, 5, 3, 2, 8, 7, 1, 6, 7, 1, 3, 9, 6, 5, 4, 2, 8, 8, 6, 2, 7, 1, 4, 3, 9, 5, 1, 8, 7, 2, 9, 3, 5, 6, 4, 5, 3, 4, 6, 8, 1, 9, 7, 2, 6, 2, 9, 4, 5, 7, 8, 3, 1, 2, 7, 8, 1, 4, 9, 6, 5, 3, 9, 5, 6, 8, 3, 2, 1, 4, 7, 3, 4, 1, 5, 7, 6, 2, 8, 9],
easy,[0, 4, 0, 5, 0, 0, 0, 0, 0, 1, 2, 8, 0, 0, 3, 0, 4, 0, 7, 9, 0, 0, 0, 8, 6, 0, 0, 8, 0, 0, 6, 0, 0, 3, 0, 0, 9, 7, 4, 0, 0, 0, 8, 6, 1, 0, 0, 6, 0, 0, 1, 0, 0, 7, 0, 0, 2, 3, 0, 0, 0, 5, 9, 0, 1, 0, 9, 0, 0, 4, 3, 6, 0, 0, 0, 0, 0, 4, 0, 8, 0],[6, 4, 3, 5, 1, 9, 2, 7, 8, 1, 2, 8, 7, 6, 3, 9, 4, 5, 7, 9, 5, 4, 2, 8, 6, 1, 3, 8, 5, 1, 6, 9, 7, 3, 2, 4, 9, 7, 4, 2, 3, 5, 8, 6, 1, 2, 3, 6, 8, 4, 1, 5, 9, 7, 4, 8, 2, 3, 7, 6, 1, 5, 9, 5, 1, 7, 9, 8, 2, 4, 3, 6, 3, 6, 9, 1, 5, 4, 7, 8, 2],
medium,[6, 0, 8, 0, 9, 0, 0, 5, 7, 0, 0, 7, 3, 0, 0, 6, 9, 2, 0, 3, 0, 5, 0, 0, 0, 0, 8, 0, 0, 0, 0, 5, 6, 2, 1, 0, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 5, 6, 2, 1, 0, 0, 0, 0, 9, 0, 0, 0, 0, 4, 0, 7, 0, 8, 6, 4, 0, 0, 5, 9, 0, 0, 3, 7, 0, 0, 2, 0, 4, 0, 1],[6, 1, 8, 4, 9, 2, 3, 5, 7, 5, 4, 7, 3, 8, 1, 6, 9, 2, 2, 3, 9, 5, 6, 7, 1, 4, 8, 7, 8, 3, 9, 5, 6, 2, 1, 4, 1, 9, 2, 7, 4, 8, 5, 3, 6, 4, 5, 6, 2, 1, 3, 7, 8, 9, 9, 2, 1, 6, 3, 4, 8, 7, 5, 8, 6, 4, 1, 7, 5, 9, 2, 3, 3, 7, 5, 8, 2, 9, 4, 6, 1],
medium,[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 4, 0, 0, 3, 1, 5, 6, 0, 0, 6, 0, 0, 5, 3, 2, 0, 0, 6, 3, 0, 0, 8, 4, 0, 1, 0, 4, 0, 1, 0, 9, 0, 3, 0, 9, 0, 5, 3, 0, 0, 7, 6, 0, 0, 5, 9, 4, 0, 0, 2, 0, 0, 4, 8, 1, 5, 0, 0, 6, 7, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0],[5, 3, 7, 2, 1, 6, 9, 8, 4, 8, 2, 4, 9, 7, 3, 1, 5, 6, 1, 9, 6, 8, 4, 5, 3, 2, 7, 2, 6, 3, 7, 5, 8, 4, 9, 1, 7, 4, 8, 1, 6, 9, 5, 3, 2, 9, 1, 5, 3, 2, 4, 7, 6, 8, 6, 5, 9, 4, 8, 7, 2, 1, 3, 4, 8, 1, 5, 3, 2, 6, 7, 9, 3, 7, 2, 6, 9, 1, 8, 4, 5],
easy,[0, 5, 0, 0, 0, 3, 9, 0, 0, 3, 0, 8, 9, 5, 7, 2, 0, 0, 1, 7, 9, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 9, 7, 0, 0, 8, 0, 0, 6, 0, 5, 0, 0, 2, 0, 0, 1, 2, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 2, 7, 0, 0, 6, 7, 9, 2, 8, 0, 5, 0, 0, 5, 8, 0, 0, 0, 4, 0],[6, 5, 2, 1, 8, 3, 9, 7, 4, 3, 4, 8, 9, 5, 7, 2, 6, 1, 1, 7, 9, 4, 2, 6, 5, 8, 3, 2, 6, 4, 3, 1, 9, 7, 5, 8, 8, 9, 7, 6, 4, 5, 3, 1, 2, 5, 3, 1, 2, 7, 8, 4, 9, 6, 9, 8, 3, 5, 6, 4, 1, 2, 7, 4, 1, 6, 7, 9, 2, 8, 3, 5, 7, 2, 5, 8, 3, 1, 6, 4, 9],
medium,[5, 0, 0, 0, 0, 6, 9, 0, 1, 0, 0, 0, 8, 0, 1, 2, 0, 0, 3, 0, 0, 7, 0, 9, 0, 8, 0, 7, 3, 6, 0, 0, 0, 0, 0, 0, 2, 0, 8, 3, 0, 5, 6, 0, 7, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 7, 0, 1, 0, 3, 0, 0, 5, 0, 0, 3, 5, 0, 8, 0, 0, 0, 6, 0, 2, 9, 0, 0, 0, 0, 8],[5, 8, 4, 2, 3, 6, 9, 7, 1, 9, 6, 7, 8, 5, 1, 2, 3, 4, 3, 2, 1, 7, 4, 9, 5, 8, 6, 7, 3, 6, 4, 1, 2, 8, 5, 9, 2, 1, 8, 3, 9, 5, 6, 4, 7, 4, 9, 5, 6, 8, 7, 1, 2, 3, 8, 7, 9, 1, 2, 3, 4, 6, 5, 1, 4, 3, 5, 6, 8, 7, 9, 2, 6, 5, 2, 9, 7, 4, 3, 1, 8],
hard,[0, 0, 4, 0, 0, 0, 0, 1, 6, 0, 0, 1, 0, 5, 0, 0, 8, 0, 7, 0, 0, 1, 0, 3, 4, 9, 5, 0, 0, 0, 4, 1, 2, 0, 3, 0, 0, 0, 3, 0, 9, 0, 6, 0, 0, 0, 2, 0, 3, 6, 8, 0, 0, 0, 6, 1, 2, 5, 0, 7, 0, 0, 8, 0, 4, 0, 0, 8, 0, 5, 0, 0, 8, 7, 0, 0, 0, 0, 3, 0, 0],[5, 3, 4, 8, 7, 9, 2, 1, 6, 2, 9, 1, 6, 5, 4, 7, 8, 3, 7, 6, 8, 1, 2, 3, 4, 9, 5, 9, 5, 6, 4, 1, 2, 8, 3, 7, 1, 8, 3, 7, 9, 5, 6, 2, 4, 4, 2, 7, 3, 6, 8, 1, 5, 9, 6, 1, 2, 5, 3, 7, 9, 4, 8, 3, 4, 9, 2, 8, 6, 5, 7, 1, 8, 7, 5, 9, 4, 1, 3, 6, 2],
easy,[0, 8, 0, 3, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 7, 0, 9, 0, 0, 6, 5, 0, 8, 0, 0, 0, 1, 2, 7, 1, 0, 3, 4, 0, 0, 0, 6, 5, 3, 0, 0, 0, 2, 4, 7, 0, 0, 0, 7, 2, 0, 5, 1, 3, 9, 0, 0, 0, 5, 0, 1, 8, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 8, 0, 2, 0],[1, 8, 9, 3, 4, 5, 6, 7, 2, 3, 4, 2, 1, 6, 7, 8, 9, 5, 7, 6, 5, 9, 8, 2, 4, 3, 1, 2, 7, 1, 5, 3, 4, 9, 6, 8, 6, 5, 3, 8, 9, 1, 2, 4, 7, 4, 9, 8, 7, 2, 6, 5, 1, 3, 9, 2, 7, 4, 5, 3, 1, 8, 6, 8, 1, 6, 2, 7, 9, 3, 5, 4, 5, 3, 4, 6, 1, 8, 7, 2, 9],
easy,[0, 5, 9, 0, 6, 7, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 2, 8, 5, 6, 0, 9, 4, 0, 3, 6, 0, 0, 0, 0, 1, 7, 0, 0, 5, 0, 9, 0, 0, 4, 9, 0, 0, 0, 0, 3, 8, 0, 7, 3, 0, 2, 8, 9, 6, 0, 0, 0, 0, 7, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 7, 5, 0, 4, 8, 0],[2, 5, 9, 3, 6, 7, 1, 4, 8, 8, 6, 7, 9, 4, 1, 5, 3, 2, 1, 3, 4, 2, 8, 5, 6, 7, 9, 4, 2, 3, 6, 7, 8, 9, 5, 1, 7, 8, 6, 5, 1, 9, 3, 2, 4, 9, 1, 5, 4, 2, 3, 8, 6, 7, 3, 4, 2, 8, 9, 6, 7, 1, 5, 5, 7, 8, 1, 3, 4, 2, 9, 6, 6, 9, 1, 7, 5, 2, 4, 8, 3],
easy,[0, 0, 0, 8, 0, 0, 1, 6, 3, 0, 6, 5, 4, 3, 1, 0, 7, 9, 0, 0, 0, 0, 9, 0, 0, 8, 0, 0, 0, 0, 0, 5, 9, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 9, 0, 3, 0, 0, 1, 4, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 5, 8, 0, 6, 2, 3, 9, 4, 0, 9, 4, 2, 0, 0, 7, 0, 0, 0],[2, 9, 4, 8, 7, 5, 1, 6, 3, 8, 6, 5, 4, 3, 1, 2, 7, 9, 7, 1, 3, 2, 9, 6, 4, 8, 5, 6, 2, 8, 7, 5, 9, 3, 1, 4, 4, 7, 1, 3, 6, 2, 5, 9, 8, 3, 5, 9, 1, 4, 8, 6, 2, 7, 1, 3, 6, 9, 8, 4, 7, 5, 2, 5, 8, 7, 6, 2, 3, 9, 4, 1, 9, 4, 2, 5, 1, 7, 8, 3, 6],
hard,[5, 0, 0, 3, 0, 1, 6, 2, 0, 2, 8, 0, 0, 0, 4, 9, 0, 1, 6, 0, 3, 0, 9, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 4, 0, 5, 0, 0, 0, 1, 0, 2, 0, 0, 8, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 4, 0, 3, 0, 6, 8, 0, 6, 7, 0, 0, 0, 1, 5, 0, 4, 1, 6, 0, 3, 0, 0, 9],[5, 9, 4, 3, 8, 1, 6, 2, 7, 2, 8, 7, 5, 6, 4, 9, 3, 1, 6, 1, 3, 2, 9, 7, 5, 4, 8, 1, 2, 9, 4, 7, 5, 8, 6, 3, 4, 7, 5, 8, 3, 6, 1, 9, 2, 3, 6, 8, 9, 1, 2, 7, 5, 4, 9, 5, 2, 1, 4, 8, 3, 7, 6, 8, 3, 6, 7, 2, 9, 4, 1, 5, 7, 4, 1, 6, 5, 3, 2, 8, 9],
hard,[0, 7, 0, 0, 9, 6, 1, 3, 0, 0, 0, 0, 5, 0, 0, 0, 7, 0, 0, 0, 8, 0, 3, 7, 0, 2, 9, 0, 0, 1, 0, 0, 0, 7, 0, 0, 4, 8, 3, 7, 0, 1, 6, 9, 5, 0, 0, 9, 0, 0, 0, 3, 0, 0, 3, 1, 0, 9, 6, 0, 2, 0, 0, 0, 4, 0, 0, 0, 5, 0, 0, 0, 0, 9, 6, 2, 7, 0, 0, 5, 0],[5, 7, 2, 8, 9, 6, 1, 3, 4, 9, 3, 4, 5, 1, 2, 8, 7, 6, 1, 6, 8, 4, 3, 7, 5, 2, 9, 6, 2, 1, 3, 5, 9, 7, 4, 8, 4, 8, 3, 7, 2, 1, 6, 9, 5, 7, 5, 9, 6, 4, 8, 3, 1, 2, 3, 1, 5, 9, 6, 4, 2, 8, 7, 2, 4, 7, 1, 8, 5, 9, 6, 3, 8, 9, 6, 2, 7, 3, 4, 5, 1],
easy,[4, 8, 5, 0, 1, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 3, 0, 0, 0, 9, 8, 0, 0, 1, 0, 0, 7, 6, 0, 5, 0, 5, 3, 7, 0, 4, 0, 8, 6, 2, 0, 4, 0, 2, 3, 0, 0, 1, 0, 0, 5, 9, 0, 0, 0, 3, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 9, 0, 6, 7, 4],[4, 8, 5, 9, 1, 7, 2, 3, 6, 2, 9, 1, 6, 8, 3, 5, 4, 7, 6, 7, 3, 4, 5, 2, 9, 8, 1, 9, 1, 2, 8, 7, 6, 4, 5, 3, 5, 3, 7, 1, 4, 9, 8, 6, 2, 8, 4, 6, 2, 3, 5, 7, 1, 9, 1, 5, 9, 7, 6, 4, 3, 2, 8, 7, 6, 4, 3, 2, 8, 1, 9, 5, 3, 2, 8, 5, 9, 1, 6, 7, 4],
medium,[6, 8, 9, 3, 0, 0, 0, 7, 0, 0, 1, 3, 5, 6, 0, 0, 0, 0, 5, 0, 0, 0, 0, 8, 6, 0, 1, 0, 0, 0, 0, 9, 5, 0, 0, 6, 4, 0, 5, 0, 0, 0, 2, 0, 8, 2, 0, 0, 1, 8, 0, 0, 0, 0, 9, 0, 1, 7, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 9, 4, 6, 0, 0, 7, 0, 0, 0, 3, 1, 5, 9],[6, 8, 9, 3, 4, 1, 5, 7, 2, 7, 1, 3, 5, 6, 2, 9, 8, 4, 5, 2, 4, 9, 7, 8, 6, 3, 1, 1, 3, 8, 2, 9, 5, 7, 4, 6, 4, 9, 5, 6, 3, 7, 2, 1, 8, 2, 6, 7, 1, 8, 4, 3, 9, 5, 9, 4, 1, 7, 5, 6, 8, 2, 3, 3, 5, 2, 8, 1, 9, 4, 6, 7, 8, 7, 6, 4, 2, 3, 1, 5, 9],
hard,[0, 0, 0, 0, 0, 0, 8, 1, 2, 9, 0, 8, 0, 0, 0, 0, 4, 0, 0, 7, 0, 2, 0, 0, 0, 0, 9, 0, 8, 0, 7, 4, 2, 1, 0, 3, 2, 4, 0, 9, 0, 8, 0, 7, 6, 7, 0, 9, 6, 5, 1, 0, 8, 0, 4, 0, 0, 0, 0, 7, 0, 2, 0, 0, 1, 0, 0, 0, 0, 4, 0, 7, 5, 6, 7, 0, 0, 0, 0, 0, 0],[3, 5, 6, 4, 7, 9, 8, 1, 2, 9, 2, 8, 1, 6, 3, 7, 4, 5, 1, 7, 4, 2, 8, 5, 3, 6, 9, 6, 8, 5, 7, 4, 2, 1, 9, 3, 2, 4, 1, 9, 3, 8, 5, 7, 6, 7, 3, 9, 6, 5, 1, 2, 8, 4, 4, 9, 3, 5, 1, 7, 6, 2, 8, 8, 1, 2, 3, 9, 6, 4, 5, 7, 5, 6, 7, 8, 2, 4, 9, 3, 1],
hard,[3, 0, 0, 0, 1, 0, 8, 0, 0, 4, 6, 0, 9, 0, 8, 0, 0, 0, 0, 0, 8, 7, 2, 0, 0, 0, 5, 7, 0, 0, 0, 6, 0, 0, 4, 1, 2, 0, 9, 3, 0, 1, 7, 0, 6, 5, 1, 0, 0, 9, 0, 0, 0, 8, 6, 0, 0, 0, 7, 3, 5, 0, 0, 0, 0, 0, 6, 0, 9, 0, 1, 3, 0, 0, 1, 0, 5, 0, 0, 0, 7],[3, 7, 2, 5, 1, 6, 8, 9, 4, 4, 6, 5, 9, 3, 8, 1, 7, 2, 1, 9, 8, 7, 2, 4, 6, 3, 5, 7, 8, 3, 2, 6, 5, 9, 4, 1, 2, 4, 9, 3, 8, 1, 7, 5, 6, 5, 1, 6, 4, 9, 7, 3, 2, 8, 6, 2, 4, 1, 7, 3, 5, 8, 9, 8, 5, 7, 6, 4, 9, 2, 1, 3, 9, 3, 1, 8, 5, 2, 4, 6, 7],
easy,[5, 4, 0, 0, 0, 6, 3, 0, 8, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 9, 7, 0, 0, 1, 0, 0, 4, 0, 0, 0, 4, 6, 0, 5, 8, 2, 7, 0, 0, 0, 9, 0, 0, 0, 3, 6, 8, 5, 0, 1, 3, 0, 0, 0, 4, 0, 0, 5, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 9, 0, 3, 1, 0, 0, 0, 7, 6],[5, 4, 1, 7, 2, 6, 3, 9, 8, 2, 3, 6, 9, 8, 4, 7, 1, 5, 8, 9, 7, 3, 5, 1, 6, 2, 4, 3, 1, 9, 4, 6, 7, 5, 8, 2, 7, 2, 4, 8, 9, 5, 1, 6, 3, 6, 8, 5, 2, 1, 3, 9, 4, 7, 4, 6, 8, 5, 7, 9, 2, 3, 1, 1, 7, 2, 6, 3, 8, 4, 5, 9, 9, 5, 3, 1, 4, 2, 8, 7, 6],
medium,[9, 0, 0, 0, 8, 6, 0, 3, 5, 0, 4, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 6, 8, 0, 0, 0, 0, 0, 9, 0, 0, 2, 2, 7, 3, 8, 0, 4, 6, 1, 9, 5, 0, 0, 3, 0, 0, 0, 0, 0, 8, 1, 5, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 4, 0, 4, 9, 0, 7, 1, 0, 0, 0, 3],[9, 2, 7, 1, 8, 6, 4, 3, 5, 6, 4, 8, 2, 3, 5, 7, 9, 1, 3, 5, 1, 9, 4, 7, 2, 6, 8, 1, 8, 4, 6, 7, 9, 3, 5, 2, 2, 7, 3, 8, 5, 4, 6, 1, 9, 5, 6, 9, 3, 2, 1, 8, 7, 4, 8, 1, 5, 4, 6, 3, 9, 2, 7, 7, 3, 2, 5, 9, 8, 1, 4, 6, 4, 9, 6, 7, 1, 2, 5, 8, 3],
easy,[8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 8, 2, 9, 0, 0, 0, 2, 6, 3, 1, 5, 0, 8, 0, 6, 0, 3, 8, 0, 1, 0, 0, 0, 4, 0, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 2, 0, 3, 8, 0, 9, 0, 3, 0, 7, 2, 6, 4, 9, 0, 0, 0, 9, 1, 5, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7],[8, 1, 5, 4, 7, 9, 2, 6, 3, 3, 7, 4, 6, 8, 2, 9, 1, 5, 9, 2, 6, 3, 1, 5, 7, 8, 4, 6, 9, 3, 8, 4, 1, 5, 7, 2, 4, 8, 2, 5, 9, 7, 1, 3, 6, 1, 5, 7, 2, 6, 3, 8, 4, 9, 5, 3, 8, 7, 2, 6, 4, 9, 1, 7, 6, 9, 1, 5, 4, 3, 2, 8, 2, 4, 1, 9, 3, 8, 6, 5, 7],
hard,[3, 2, 0, 0, 6, 7, 0, 0, 8, 0, 7, 4, 8, 0, 0, 1, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0, 6, 1, 6, 0, 0, 0, 0, 0, 0, 0, 8, 4, 0, 9, 3, 6, 0, 1, 7, 0, 0, 0, 0, 0, 0, 0, 6, 9, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 5, 0, 0, 1, 6, 7, 0, 7, 0, 0, 4, 8, 0, 0, 3, 5],[3, 2, 1, 5, 6, 7, 4, 9, 8, 6, 7, 4, 8, 2, 9, 1, 5, 3, 9, 5, 8, 1, 4, 3, 7, 2, 6, 1, 6, 9, 7, 5, 8, 3, 4, 2, 8, 4, 2, 9, 3, 6, 5, 1, 7, 5, 3, 7, 2, 1, 4, 8, 6, 9, 4, 9, 3, 6, 7, 5, 2, 8, 1, 2, 8, 5, 3, 9, 1, 6, 7, 4, 7, 1, 6, 4, 8, 2, 9, 3, 5],
hard,[0, 3, 0, 0, 1, 0, 8, 4, 2, 4, 0, 0, 0, 0, 0, 1, 0, 9, 0, 5, 8, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 9, 0, 3, 0, 8, 1, 3, 0, 7, 0, 5, 9, 4, 0, 6, 0, 5, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 9, 2, 0, 5, 0, 6, 0, 0, 0, 0, 0, 7, 7, 9, 4, 0, 5, 0, 0, 6, 0],[6, 3, 9, 7, 1, 5, 8, 4, 2, 4, 7, 2, 8, 3, 6, 1, 5, 9, 1, 5, 8, 9, 2, 4, 6, 7, 3, 2, 4, 5, 1, 8, 9, 7, 3, 6, 8, 1, 3, 6, 7, 2, 5, 9, 4, 9, 6, 7, 5, 4, 3, 2, 8, 1, 3, 8, 1, 4, 6, 7, 9, 2, 5, 5, 2, 6, 3, 9, 8, 4, 1, 7, 7, 9, 4, 2, 5, 1, 3, 6, 8],
easy,[0, 6, 0, 3, 0, 0, 1, 8, 4, 8, 0, 4, 6, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 8, 0, 7, 0, 0, 0, 0, 0, 8, 0, 0, 0, 3, 0, 2, 0, 4, 0, 7, 0, 9, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 0, 7, 0, 0, 3, 0, 9, 0, 0, 9, 2, 0, 5, 8, 0, 7, 3, 4, 7, 0, 0, 6, 0, 1, 0],[7, 6, 5, 3, 2, 9, 1, 8, 4, 8, 9, 4, 6, 7, 1, 2, 3, 5, 2, 3, 1, 5, 4, 8, 9, 7, 6, 9, 7, 6, 1, 8, 2, 4, 5, 3, 1, 2, 3, 4, 5, 7, 6, 9, 8, 4, 5, 8, 9, 6, 3, 7, 2, 1, 5, 8, 2, 7, 1, 4, 3, 6, 9, 6, 1, 9, 2, 3, 5, 8, 4, 7, 3, 4, 7, 8, 9, 6, 5, 1, 2],
medium,[7, 8, 4, 0, 0, 0, 1, 6, 0, 0, 5, 6, 0, 0, 0, 0, 0, 7, 0, 2, 0, 6, 3, 0, 8, 0, 4, 0, 0, 0, 4, 5, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 0, 9, 5, 5, 0, 0, 0, 1, 6, 0, 0, 0, 8, 0, 3, 0, 7, 2, 0, 4, 0, 4, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 5, 0, 0, 0, 2, 7, 9],[7, 8, 4, 2, 9, 5, 1, 6, 3, 3, 5, 6, 8, 4, 1, 9, 2, 7, 9, 2, 1, 6, 3, 7, 8, 5, 4, 2, 6, 9, 4, 5, 8, 7, 3, 1, 1, 4, 8, 7, 2, 3, 6, 9, 5, 5, 3, 7, 9, 1, 6, 4, 8, 2, 8, 9, 3, 1, 7, 2, 5, 4, 6, 4, 7, 2, 5, 6, 9, 3, 1, 8, 6, 1, 5, 3, 8, 4, 2, 7, 9],
medium,[0, 0, 0, 9, 3, 0, 0, 7, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 6, 9, 2, 0, 0, 0, 0, 8, 5, 0, 3, 0, 6, 1, 0, 0, 5, 9, 0, 2, 0, 0, 9, 0, 0, 6, 0, 8, 6, 0, 0, 2, 4, 0, 1, 0, 9, 4, 0, 0, 0, 0, 1, 2, 8, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 8, 0, 0, 4, 7, 0, 0, 0],[4, 1, 8, 9, 3, 5, 6, 7, 2, 5, 7, 3, 8, 6, 2, 9, 4, 1, 6, 9, 2, 4, 7, 1, 3, 8, 5, 7, 3, 4, 6, 1, 8, 2, 5, 9, 1, 2, 5, 7, 9, 3, 8, 6, 4, 8, 6, 9, 5, 2, 4, 7, 1, 3, 9, 4, 7, 3, 5, 6, 1, 2, 8, 2, 5, 6, 1, 8, 9, 4, 3, 7, 3, 8, 1, 2, 4, 7, 5, 9, 6],
easy,[0, 9, 0, 3, 4, 0, 6, 0, 0, 8, 0, 0, 0, 6, 0, 3, 5, 0, 0, 0, 0, 9, 0, 2, 0, 0, 8, 0, 0, 0, 1, 0, 0, 9, 0, 2, 3, 0, 9, 2, 7, 4, 1, 0, 5, 5, 0, 2, 0, 0, 3, 0, 0, 0, 4, 0, 0, 5, 0, 7, 0, 0, 0, 0, 5, 1, 0, 2, 0, 0, 0, 3, 0, 0, 6, 0, 3, 9, 0, 8, 0],[1, 9, 5, 3, 4, 8, 6, 2, 7, 8, 2, 4, 7, 6, 1, 3, 5, 9, 7, 6, 3, 9, 5, 2, 4, 1, 8, 6, 4, 7, 1, 8, 5, 9, 3, 2, 3, 8, 9, 2, 7, 4, 1, 6, 5, 5, 1, 2, 6, 9, 3, 8, 7, 4, 4, 3, 8, 5, 1, 7, 2, 9, 6, 9, 5, 1, 8, 2, 6, 7, 4, 3, 2, 7, 6, 4, 3, 9, 5, 8, 1],
easy,[0, 7, 0, 0, 0, 8, 1, 5, 0, 4, 2, 0, 0, 5, 1, 7, 0, 9, 0, 0, 8, 4, 0, 7, 0, 6, 0, 7, 0, 2, 8, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 3, 4, 0, 5, 0, 8, 0, 5, 0, 2, 6, 0, 0, 5, 0, 4, 9, 8, 0, 0, 7, 2, 0, 6, 3, 1, 0, 0, 0, 9, 0],[3, 7, 9, 6, 2, 8, 1, 5, 4, 4, 2, 6, 3, 5, 1, 7, 8, 9, 1, 5, 8, 4, 9, 7, 2, 6, 3, 7, 4, 2, 8, 1, 5, 9, 3, 6, 6, 3, 5, 2, 4, 9, 8, 1, 7, 8, 9, 1, 7, 6, 3, 4, 2, 5, 9, 8, 7, 5, 3, 2, 6, 4, 1, 5, 1, 4, 9, 8, 6, 3, 7, 2, 2, 6, 3, 1, 7, 4, 5, 9, 8],
medium,[0, 0, 9, 0, 0, 1, 0, 3, 0, 7, 3, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 5, 9, 4, 0, 5, 0, 8, 6, 0, 1, 8, 0, 2, 0, 1, 0, 7, 0, 4, 1, 0, 7, 9, 0, 4, 0, 5, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 7, 6, 0, 7, 0, 8, 0, 0, 4, 0, 0],[4, 2, 9, 6, 5, 1, 8, 3, 7, 7, 3, 5, 4, 8, 9, 1, 6, 2, 6, 8, 1, 2, 3, 7, 9, 4, 5, 9, 4, 3, 5, 7, 8, 6, 2, 1, 8, 5, 2, 3, 1, 6, 7, 9, 4, 1, 6, 7, 9, 2, 4, 3, 5, 8, 5, 1, 4, 7, 6, 3, 2, 8, 9, 3, 9, 8, 1, 4, 2, 5, 7, 6, 2, 7, 6, 8, 9, 5, 4, 1, 3],
hard,[0, 0, 0, 8, 1, 0, 7, 0, 5, 0, 0, 1, 2, 0, 0, 3, 6, 0, 0, 4, 0, 7, 0, 0, 0, 9, 0, 0, 2, 3, 0, 0, 0, 6, 0, 9, 4, 1, 0, 0, 0, 0, 0, 7, 3, 6, 0, 9, 0, 0, 0, 2, 1, 0, 0, 6, 0, 0, 0, 5, 0, 2, 0, 0, 3, 7, 0, 0, 1, 5, 0, 0, 2, 0, 8, 0, 7, 9, 0, 0, 0],[3, 9, 2, 8, 1, 6, 7, 4, 5, 5, 7, 1, 2, 9, 4, 3, 6, 8, 8, 4, 6, 7, 5, 3, 1, 9, 2, 7, 2, 3, 1, 4, 8, 6, 5, 9, 4, 1, 5, 9, 6, 2, 8, 7, 3, 6, 8, 9, 5, 3, 7, 2, 1, 4, 1, 6, 4, 3, 8, 5, 9, 2, 7, 9, 3, 7, 4, 2, 1, 5, 8, 6, 2, 5, 8, 6, 7, 9, 4, 3, 1],
medium,[0, 0, 0, 2, 1, 0, 3, 0, 8, 0, 0, 8, 3, 5, 0, 9, 1, 0, 1, 0, 0, 0, 8, 0, 4, 2, 0, 0, 8, 0, 0, 0, 2, 1, 0, 0, 0, 5, 0, 0, 7, 0, 0, 3, 0, 0, 0, 2, 8, 0, 0, 0, 9, 0, 0, 3, 9, 0, 6, 0, 0, 0, 1, 0, 7, 4, 0, 2, 3, 5, 0, 0, 5, 0, 1, 0, 9, 7, 0, 0, 0],[6, 4, 5, 2, 1, 9, 3, 7, 8, 7, 2, 8, 3, 5, 4, 9, 1, 6, 1, 9, 3, 7, 8, 6, 4, 2, 5, 9, 8, 7, 6, 3, 2, 1, 5, 4, 4, 5, 6, 9, 7, 1, 8, 3, 2, 3, 1, 2, 8, 4, 5, 6, 9, 7, 2, 3, 9, 5, 6, 8, 7, 4, 1, 8, 7, 4, 1, 2, 3, 5, 6, 9, 5, 6, 1, 4, 9, 7, 2, 8, 3],
medium,[7, 4, 9, 0, 1, 0, 3, 0, 8, 0, 0, 1, 7, 0, 9, 2, 0, 0, 2, 3, 0, 0, 0, 0, 0, 9, 0, 9, 0, 7, 0, 0, 5, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 9, 0, 0, 6, 0, 5, 0, 9, 0, 0, 0, 0, 0, 4, 7, 0, 0, 3, 4, 0, 1, 8, 0, 0, 4, 0, 2, 0, 8, 0, 5, 3, 9],[7, 4, 9, 2, 1, 6, 3, 5, 8, 8, 5, 1, 7, 3, 9, 2, 6, 4, 2, 3, 6, 5, 4, 8, 7, 9, 1, 9, 2, 7, 1, 6, 5, 4, 8, 3, 3, 6, 5, 8, 7, 4, 9, 1, 2, 1, 8, 4, 9, 2, 3, 6, 7, 5, 6, 9, 8, 3, 5, 2, 1, 4, 7, 5, 7, 3, 4, 9, 1, 8, 2, 6, 4, 1, 2, 6, 8, 7, 5, 3, 9],
hard,[0, 0, 0, 1, 0, 8, 3, 0, 0, 0, 5, 6, 3, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 5, 2, 9, 7, 2, 0, 7, 0, 6, 0, 0, 1, 0, 5, 0, 4, 0, 0, 0, 9, 0, 3, 0, 3, 0, 0, 5, 0, 7, 0, 6, 6, 7, 2, 9, 0, 0, 8, 0, 0, 9, 0, 0, 0, 0, 7, 6, 3, 0, 0, 0, 8, 5, 0, 6, 0, 0, 0],[4, 2, 9, 1, 7, 8, 3, 6, 5, 7, 5, 6, 3, 9, 2, 1, 8, 4, 1, 8, 3, 6, 4, 5, 2, 9, 7, 2, 9, 7, 4, 6, 3, 5, 1, 8, 5, 6, 4, 7, 8, 1, 9, 2, 3, 8, 3, 1, 2, 5, 9, 7, 4, 6, 6, 7, 2, 9, 3, 4, 8, 5, 1, 9, 4, 5, 8, 1, 7, 6, 3, 2, 3, 1, 8, 5, 2, 6, 4, 7, 9],
hard,[0, 0, 6, 0, 4, 8, 0, 0, 9, 5, 9, 0, 0, 3, 0, 8, 0, 0, 3, 0, 7, 6, 0, 5, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 5, 0, 4, 0, 8, 0, 1, 0, 9, 0, 3, 0, 5, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 2, 0, 7, 4, 0, 1, 0, 0, 1, 0, 5, 0, 0, 7, 2, 7, 0, 0, 4, 8, 0, 3, 0, 0],[1, 2, 6, 7, 4, 8, 5, 3, 9, 5, 9, 4, 1, 3, 2, 8, 6, 7, 3, 8, 7, 6, 9, 5, 2, 1, 4, 6, 1, 9, 3, 2, 4, 7, 5, 8, 4, 7, 8, 5, 1, 6, 9, 2, 3, 2, 5, 3, 8, 7, 9, 1, 4, 6, 9, 3, 5, 2, 6, 7, 4, 8, 1, 8, 4, 1, 9, 5, 3, 6, 7, 2, 7, 6, 2, 4, 8, 1, 3, 9, 5],
medium,[6, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 1, 0, 0, 8, 0, 0, 2, 7, 8, 3, 0, 2, 4, 0, 0, 1, 0, 0, 4, 2, 8, 0, 1, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 9, 0, 1, 7, 8, 0, 0, 8, 0, 0, 1, 6, 0, 5, 3, 4, 4, 0, 0, 7, 0, 0, 6, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 7],[6, 4, 2, 9, 5, 1, 3, 7, 8, 5, 9, 1, 3, 7, 8, 4, 6, 2, 7, 8, 3, 6, 2, 4, 9, 5, 1, 3, 7, 4, 2, 8, 6, 1, 9, 5, 1, 5, 8, 4, 9, 3, 7, 2, 6, 2, 6, 9, 5, 1, 7, 8, 4, 3, 8, 2, 7, 1, 6, 9, 5, 3, 4, 4, 1, 5, 7, 3, 2, 6, 8, 9, 9, 3, 6, 8, 4, 5, 2, 1, 7],
medium,[2, 7, 4, 0, 0, 0, 0, 0, 5, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 5, 0, 0, 0, 0, 4, 3, 0, 6, 4, 0, 2, 7, 0, 8, 0, 0, 0, 6, 0, 9, 0, 0, 0, 4, 0, 8, 7, 0, 3, 5, 0, 9, 5, 0, 0, 0, 0, 1, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 6, 0, 0, 0, 0, 0, 4, 5, 2],[2, 7, 4, 1, 9, 6, 3, 8, 5, 1, 3, 5, 8, 2, 4, 6, 9, 7, 8, 6, 9, 5, 3, 7, 1, 2, 4, 3, 9, 6, 4, 5, 2, 7, 1, 8, 7, 5, 1, 6, 8, 9, 2, 4, 3, 4, 2, 8, 7, 1, 3, 5, 6, 9, 5, 8, 2, 3, 4, 1, 9, 7, 6, 9, 4, 7, 2, 6, 5, 8, 3, 1, 6, 1, 3, 9, 7, 8, 4, 5, 2],
hard,[4, 9, 6, 0, 5, 0, 0, 0, 0, 1, 0, 0, 8, 0, 9, 0, 4, 0, 2, 0, 7, 4, 0, 0, 0, 0, 5, 7, 0, 4, 3, 0, 0, 0, 9, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 7, 6, 0, 1, 6, 0, 0, 0, 0, 2, 1, 0, 4, 0, 4, 0, 1, 0, 6, 0, 0, 9, 0, 0, 0, 0, 7, 0, 3, 6, 8],[4, 9, 6, 7, 5, 1, 8, 2, 3, 1, 5, 3, 8, 2, 9, 7, 4, 6, 2, 8, 7, 4, 6, 3, 9, 1, 5, 7, 6, 4, 3, 1, 8, 5, 9, 2, 8, 1, 2, 6, 9, 5, 4, 3, 7, 5, 3, 9, 2, 4, 7, 6, 8, 1, 6, 7, 8, 9, 3, 2, 1, 5, 4, 3, 4, 5, 1, 8, 6, 2, 7, 9, 9, 2, 1, 5, 7, 4, 3, 6, 8],
medium,[6, 0, 4, 0, 3, 8, 0, 7, 0, 0, 0, 0, 1, 5, 0, 6, 0, 0, 1, 0, 8, 0, 0, 6, 0, 0, 0, 0, 1, 0, 0, 9, 7, 8, 2, 0, 8, 0, 9, 0, 0, 0, 7, 0, 1, 0, 2, 7, 4, 8, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 4, 0, 7, 0, 0, 1, 0, 6, 3, 0, 0, 0, 0, 6, 0, 5, 7, 0, 3, 0, 8],[6, 5, 4, 2, 3, 8, 1, 7, 9, 2, 7, 3, 1, 5, 9, 6, 8, 4, 1, 9, 8, 7, 4, 6, 2, 5, 3, 4, 1, 6, 3, 9, 7, 8, 2, 5, 8, 3, 9, 6, 2, 5, 7, 4, 1, 5, 2, 7, 4, 8, 1, 9, 3, 6, 3, 8, 5, 9, 1, 2, 4, 6, 7, 7, 4, 1, 8, 6, 3, 5, 9, 2, 9, 6, 2, 5, 7, 4, 3, 1, 8],
hard,[0, 0, 0, 0, 0, 9, 0, 8, 0, 1, 0, 0, 3, 0, 0, 7, 9, 0, 2, 0, 8, 5, 0, 0, 0, 1, 4, 6, 2, 4, 0, 5, 1, 0, 0, 0, 8, 0, 0, 0, 9, 0, 0, 0, 7, 0, 0, 0, 8, 3, 0, 4, 2, 5, 5, 7, 0, 0, 0, 3, 8, 0, 9, 0, 8, 6, 0, 0, 4, 0, 0, 1, 0, 4, 0, 2, 0, 0, 0, 0, 0],[4, 3, 7, 1, 2, 9, 5, 8, 6, 1, 6, 5, 3, 4, 8, 7, 9, 2, 2, 9, 8, 5, 6, 7, 3, 1, 4, 6, 2, 4, 7, 5, 1, 9, 3, 8, 8, 5, 3, 4, 9, 2, 1, 6, 7, 7, 1, 9, 8, 3, 6, 4, 2, 5, 5, 7, 2, 6, 1, 3, 8, 4, 9, 3, 8, 6, 9, 7, 4, 2, 5, 1, 9, 4, 1, 2, 8, 5, 6, 7, 3],
medium,[0, 0, 9, 0, 0, 1, 0, 0, 0, 3, 0, 4, 0, 7, 0, 1, 0, 8, 0, 0, 0, 0, 2, 0, 6, 0, 9, 4, 1, 0, 5, 0, 0, 0, 6, 0, 8, 0, 0, 4, 0, 3, 0, 0, 1, 0, 3, 0, 0, 0, 7, 0, 8, 4, 5, 0, 2, 0, 9, 0, 0, 0, 0, 1, 0, 8, 0, 4, 0, 2, 0, 3, 0, 0, 0, 1, 0, 0, 8, 0, 0],[2, 8, 9, 6, 3, 1, 7, 4, 5, 3, 6, 4, 9, 7, 5, 1, 2, 8, 7, 5, 1, 8, 2, 4, 6, 3, 9, 4, 1, 7, 5, 8, 9, 3, 6, 2, 8, 2, 5, 4, 6, 3, 9, 7, 1, 9, 3, 6, 2, 1, 7, 5, 8, 4, 5, 7, 2, 3, 9, 8, 4, 1, 6, 1, 9, 8, 7, 4, 6, 2, 5, 3, 6, 4, 3, 1, 5, 2, 8, 9, 7],
easy,[3, 0, 7, 9, 8, 0, 0, 0, 5, 0, 0, 8, 0, 6, 0, 2, 0, 9, 9, 5, 0, 1, 4, 0, 0, 0, 0, 6, 0, 3, 4, 0, 0, 0, 0, 0, 0, 2, 9, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 8, 6, 0, 4, 0, 0, 0, 0, 2, 3, 0, 6, 1, 8, 0, 1, 0, 9, 0, 7, 0, 0, 2, 0, 0, 0, 7, 1, 8, 0, 3],[3, 6, 7, 9, 8, 2, 4, 1, 5, 1, 4, 8, 3, 6, 5, 2, 7, 9, 9, 5, 2, 1, 4, 7, 3, 8, 6, 6, 8, 3, 4, 5, 9, 1, 2, 7, 4, 2, 9, 7, 1, 6, 5, 3, 8, 7, 1, 5, 2, 3, 8, 6, 9, 4, 5, 7, 4, 8, 2, 3, 9, 6, 1, 8, 3, 1, 6, 9, 4, 7, 5, 2, 2, 9, 6, 5, 7, 1, 8, 4, 3],
hard,[0, 0, 0, 0, 9, 0, 0, 0, 1, 0, 0, 0, 3, 7, 6, 4, 5, 0, 6, 0, 0, 0, 5, 2, 0, 0, 7, 0, 8, 0, 0, 0, 0, 5, 6, 2, 0, 0, 5, 2, 8, 3, 9, 0, 0, 2, 9, 4, 0, 0, 0, 0, 3, 0, 4, 0, 0, 9, 2, 0, 0, 0, 3, 0, 7, 8, 6, 1, 4, 0, 0, 0, 9, 0, 0, 0, 3, 0, 0, 0, 0],[5, 3, 7, 4, 9, 8, 6, 2, 1, 8, 2, 1, 3, 7, 6, 4, 5, 9, 6, 4, 9, 1, 5, 2, 3, 8, 7, 1, 8, 3, 7, 4, 9, 5, 6, 2, 7, 6, 5, 2, 8, 3, 9, 1, 4, 2, 9, 4, 5, 6, 1, 7, 3, 8, 4, 1, 6, 9, 2, 5, 8, 7, 3, 3, 7, 8, 6, 1, 4, 2, 9, 5, 9, 5, 2, 8, 3, 7, 1, 4, 6],
medium,[8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 8, 4, 6, 0, 0, 0, 0, 4, 0, 1, 0, 0, 9, 0, 0, 7, 6, 0, 4, 0, 1, 0, 2, 5, 4, 5, 0, 6, 0, 2, 0, 7, 9, 1, 9, 0, 7, 0, 5, 0, 4, 3, 0, 0, 1, 0, 0, 4, 0, 3, 0, 0, 0, 0, 2, 5, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2],[8, 2, 6, 5, 7, 9, 3, 1, 4, 3, 1, 9, 8, 4, 6, 2, 5, 7, 5, 4, 7, 1, 2, 3, 9, 8, 6, 7, 6, 3, 4, 9, 1, 8, 2, 5, 4, 5, 8, 6, 3, 2, 1, 7, 9, 1, 9, 2, 7, 8, 5, 6, 4, 3, 2, 7, 1, 9, 6, 4, 5, 3, 8, 9, 3, 4, 2, 5, 8, 7, 6, 1, 6, 8, 5, 3, 1, 7, 4, 9, 2],
hard,[9, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 7, 0, 5, 2, 0, 0, 6, 0, 2, 0, 0, 6, 0, 8, 7, 0, 0, 4, 0, 6, 0, 3, 7, 2, 1, 0, 7, 0, 0, 0, 0, 0, 6, 0, 6, 3, 8, 7, 0, 1, 0, 5, 0, 0, 9, 4, 0, 3, 0, 0, 1, 0, 7, 0, 0, 5, 4, 0, 6, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 4],[9, 5, 6, 3, 7, 8, 1, 4, 2, 4, 8, 7, 1, 5, 2, 9, 3, 6, 1, 2, 3, 9, 6, 4, 8, 7, 5, 5, 4, 9, 6, 8, 3, 7, 2, 1, 2, 7, 1, 4, 9, 5, 3, 6, 8, 6, 3, 8, 7, 2, 1, 4, 5, 9, 8, 9, 4, 2, 3, 6, 5, 1, 7, 7, 1, 2, 5, 4, 9, 6, 8, 3, 3, 6, 5, 8, 1, 7, 2, 9, 4],
hard,[0, 0, 2, 0, 3, 4, 0, 7, 0, 0, 7, 4, 0, 0, 5, 9, 0, 3, 0, 6, 5, 0, 0, 7, 0, 1, 4, 4, 0, 6, 8, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 1, 0, 6, 7, 1, 0, 3, 0, 0, 4, 5, 0, 6, 0, 3, 5, 0, 0, 8, 9, 0, 0, 4, 0, 7, 9, 0, 6, 0, 0],[1, 9, 2, 6, 3, 4, 5, 7, 8, 8, 7, 4, 1, 2, 5, 9, 6, 3, 3, 6, 5, 9, 8, 7, 2, 1, 4, 4, 3, 6, 8, 1, 9, 7, 2, 5, 2, 5, 1, 4, 7, 6, 3, 8, 9, 9, 8, 7, 2, 5, 3, 1, 4, 6, 7, 1, 9, 3, 6, 8, 4, 5, 2, 6, 2, 3, 5, 4, 1, 8, 9, 7, 5, 4, 8, 7, 9, 2, 6, 3, 1],
medium,[0, 2, 4, 0, 1, 0, 0, 6, 0, 7, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 5, 3, 0, 4, 0, 0, 0, 4, 2, 3, 1, 0, 5, 0, 5, 0, 8, 0, 1, 0, 9, 0, 2, 0, 8, 9, 5, 7, 0, 0, 0, 1, 0, 6, 2, 7, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 6, 0, 7, 0, 0, 8, 0, 4, 1, 0],[5, 2, 4, 3, 1, 8, 9, 6, 7, 7, 3, 9, 6, 4, 2, 8, 5, 1, 6, 8, 1, 7, 9, 5, 3, 2, 4, 9, 6, 7, 4, 2, 3, 1, 8, 5, 4, 5, 3, 8, 6, 1, 7, 9, 2, 2, 1, 8, 9, 5, 7, 6, 4, 3, 1, 9, 6, 2, 7, 4, 5, 3, 8, 8, 4, 5, 1, 3, 9, 2, 7, 6, 3, 7, 2, 5, 8, 6, 4, 1, 9],
hard,[1, 0, 0, 8, 0, 7, 0, 6, 9, 6, 0, 9, 5, 0, 0, 4, 1, 0, 8, 0, 0, 0, 6, 0, 3, 0, 0, 3, 8, 7, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 8, 4, 2, 0, 0, 8, 0, 9, 0, 0, 0, 3, 0, 3, 6, 0, 0, 8, 1, 0, 4, 9, 2, 0, 4, 0, 3, 0, 0, 7],[1, 5, 3, 8, 4, 7, 2, 6, 9, 6, 7, 9, 5, 3, 2, 4, 1, 8, 8, 4, 2, 9, 6, 1, 3, 7, 5, 3, 8, 7, 1, 2, 4, 9, 5, 6, 2, 9, 4, 6, 8, 5, 7, 3, 1, 5, 6, 1, 3, 7, 9, 8, 4, 2, 4, 1, 8, 7, 9, 6, 5, 2, 3, 7, 3, 6, 2, 5, 8, 1, 9, 4, 9, 2, 5, 4, 1, 3, 6, 8, 7],
easy,[5, 0, 0, 0, 0, 2, 3, 0, 0, 0, 3, 6, 5, 4, 7, 0, 0, 0, 0, 8, 0, 0, 0, 9, 2, 0, 0, 0, 7, 0, 0, 0, 0, 4, 8, 1, 8, 2, 0, 9, 0, 4, 0, 5, 7, 6, 4, 5, 0, 0, 0, 0, 2, 0, 0, 0, 9, 8, 0, 0, 0, 4, 0, 0, 0, 0, 4, 9, 5, 1, 3, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2],[5, 9, 7, 1, 8, 2, 3, 6, 4, 2, 3, 6, 5, 4, 7, 8, 1, 9, 1, 8, 4, 3, 6, 9, 2, 7, 5, 9, 7, 3, 2, 5, 6, 4, 8, 1, 8, 2, 1, 9, 3, 4, 6, 5, 7, 6, 4, 5, 7, 1, 8, 9, 2, 3, 3, 5, 9, 8, 2, 1, 7, 4, 6, 7, 6, 2, 4, 9, 5, 1, 3, 8, 4, 1, 8, 6, 7, 3, 5, 9, 2],
medium,[0, 0, 3, 0, 7, 0, 0, 8, 0, 5, 9, 0, 6, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 5, 2, 0, 9, 8, 0, 4, 7, 5, 0, 9, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 9, 0, 3, 6, 8, 0, 5, 4, 0, 5, 3, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 8, 0, 4, 7, 0, 7, 0, 0, 1, 0, 6, 0, 0],[1, 4, 3, 2, 7, 9, 5, 8, 6, 5, 9, 2, 6, 8, 3, 7, 1, 4, 6, 8, 7, 1, 4, 5, 2, 3, 9, 8, 3, 4, 7, 5, 2, 9, 6, 1, 2, 5, 6, 8, 9, 1, 4, 7, 3, 7, 1, 9, 4, 3, 6, 8, 2, 5, 4, 2, 5, 3, 6, 7, 1, 9, 8, 9, 6, 1, 5, 2, 8, 3, 4, 7, 3, 7, 8, 9, 1, 4, 6, 5, 2],
medium,[0, 0, 0, 0, 8, 0, 0, 0, 3, 0, 5, 0, 2, 0, 0, 4, 0, 0, 3, 0, 0, 0, 6, 4, 8, 5, 1, 4, 1, 3, 0, 0, 2, 0, 7, 0, 0, 9, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0, 6, 0, 0, 2, 3, 9, 5, 8, 6, 9, 2, 0, 0, 0, 4, 0, 0, 1, 0, 0, 3, 0, 9, 0, 9, 0, 0, 0, 1, 0, 0, 0, 0],[7, 6, 4, 1, 8, 5, 9, 2, 3, 1, 5, 8, 2, 3, 9, 4, 6, 7, 3, 2, 9, 7, 6, 4, 8, 5, 1, 4, 1, 3, 5, 9, 2, 6, 7, 8, 6, 9, 2, 3, 7, 8, 1, 4, 5, 8, 7, 5, 6, 4, 1, 2, 3, 9, 5, 8, 6, 9, 2, 7, 3, 1, 4, 2, 4, 1, 8, 5, 3, 7, 9, 6, 9, 3, 7, 4, 1, 6, 5, 8, 2],
hard,[0, 9, 3, 0, 8, 0, 0, 0, 5, 0, 1, 0, 4, 0, 5, 0, 0, 0, 0, 0, 8, 2, 0, 9, 6, 0, 0, 5, 0, 0, 1, 9, 0, 0, 6, 4, 1, 6, 0, 0, 0, 0, 0, 5, 8, 8, 3, 0, 0, 5, 4, 0, 0, 2, 0, 0, 5, 9, 0, 3, 1, 0, 0, 0, 0, 0, 5, 0, 2, 0, 9, 0, 9, 0, 0, 0, 4, 0, 5, 2, 0],[6, 9, 3, 7, 8, 1, 2, 4, 5, 7, 1, 2, 4, 6, 5, 8, 3, 9, 4, 5, 8, 2, 3, 9, 6, 7, 1, 5, 2, 7, 1, 9, 8, 3, 6, 4, 1, 6, 4, 3, 2, 7, 9, 5, 8, 8, 3, 9, 6, 5, 4, 7, 1, 2, 2, 4, 5, 9, 7, 3, 1, 8, 6, 3, 8, 6, 5, 1, 2, 4, 9, 7, 9, 7, 1, 8, 4, 6, 5, 2, 3],
medium,[9, 6, 0, 7, 5, 0, 1, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 0, 8, 3, 6, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 8, 0, 0, 6, 4, 3, 8, 0, 7, 5, 2, 1, 0, 0, 5, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 7, 9, 3, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 9, 0, 3, 6, 0, 5, 8],[9, 6, 4, 7, 5, 2, 1, 8, 3, 7, 3, 1, 9, 8, 4, 2, 6, 5, 5, 2, 8, 3, 6, 1, 9, 4, 7, 2, 1, 7, 6, 4, 5, 8, 3, 9, 6, 4, 3, 8, 9, 7, 5, 2, 1, 8, 9, 5, 1, 2, 3, 6, 7, 4, 4, 8, 2, 5, 7, 9, 3, 1, 6, 3, 5, 6, 4, 1, 8, 7, 9, 2, 1, 7, 9, 2, 3, 6, 4, 5, 8],
easy,[0, 0, 9, 7, 0, 0, 0, 0, 5, 0, 5, 2, 4, 0, 9, 0, 6, 0, 3, 0, 7, 0, 2, 0, 8, 0, 4, 0, 0, 1, 8, 0, 0, 6, 0, 0, 6, 0, 4, 0, 0, 0, 7, 0, 8, 0, 0, 8, 0, 0, 3, 4, 0, 0, 9, 0, 6, 0, 1, 0, 5, 0, 2, 0, 4, 0, 6, 0, 7, 1, 8, 0, 8, 0, 0, 0, 0, 5, 9, 0, 0],[4, 8, 9, 7, 3, 6, 2, 1, 5, 1, 5, 2, 4, 8, 9, 3, 6, 7, 3, 6, 7, 5, 2, 1, 8, 9, 4, 5, 3, 1, 8, 7, 4, 6, 2, 9, 6, 9, 4, 1, 5, 2, 7, 3, 8, 7, 2, 8, 9, 6, 3, 4, 5, 1, 9, 7, 6, 3, 1, 8, 5, 4, 2, 2, 4, 5, 6, 9, 7, 1, 8, 3, 8, 1, 3, 2, 4, 5, 9, 7, 6],
hard,[0, 2, 9, 0, 0, 5, 3, 0, 7, 3, 0, 1, 0, 0, 0, 0, 0, 0, 6, 7, 0, 0, 1, 8, 4, 0, 0, 5, 0, 0, 2, 8, 0, 0, 0, 0, 2, 0, 8, 6, 0, 3, 9, 0, 4, 0, 0, 0, 0, 4, 1, 0, 0, 2, 0, 0, 6, 1, 5, 0, 0, 3, 8, 0, 0, 0, 0, 0, 0, 7, 0, 5, 4, 0, 2, 8, 0, 0, 6, 9, 0],[8, 2, 9, 4, 6, 5, 3, 1, 7, 3, 4, 1, 7, 9, 2, 5, 8, 6, 6, 7, 5, 3, 1, 8, 4, 2, 9, 5, 6, 4, 2, 8, 9, 1, 7, 3, 2, 1, 8, 6, 7, 3, 9, 5, 4, 9, 3, 7, 5, 4, 1, 8, 6, 2, 7, 9, 6, 1, 5, 4, 2, 3, 8, 1, 8, 3, 9, 2, 6, 7, 4, 5, 4, 5, 2, 8, 3, 7, 6, 9, 1],
easy,[0, 0, 4, 0, 0, 7, 0, 2, 0, 0, 9, 0, 0, 2, 0, 4, 0, 5, 0, 2, 6, 5, 4, 0, 0, 7, 1, 9, 6, 0, 0, 0, 3, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 4, 6, 0, 0, 0, 2, 0, 0, 0, 8, 9, 7, 3, 0, 0, 8, 2, 6, 5, 0, 6, 0, 1, 0, 5, 0, 0, 3, 0, 0, 8, 0, 6, 0, 0, 1, 0, 0],[1, 5, 4, 9, 6, 7, 8, 2, 3, 8, 9, 7, 3, 2, 1, 4, 6, 5, 3, 2, 6, 5, 4, 8, 9, 7, 1, 9, 6, 8, 4, 7, 3, 5, 1, 2, 2, 1, 3, 8, 9, 5, 7, 4, 6, 4, 7, 5, 2, 1, 6, 3, 8, 9, 7, 3, 9, 1, 8, 2, 6, 5, 4, 6, 4, 1, 7, 5, 9, 2, 3, 8, 5, 8, 2, 6, 3, 4, 1, 9, 7],
easy,[0, 0, 0, 0, 7, 9, 0, 2, 1, 0, 4, 0, 5, 0, 0, 9, 0, 0, 7, 1, 9, 0, 0, 4, 0, 0, 0, 8, 5, 0, 3, 0, 1, 0, 4, 0, 0, 0, 6, 7, 0, 8, 2, 0, 0, 0, 9, 0, 2, 0, 6, 0, 8, 3, 0, 0, 0, 9, 0, 0, 5, 1, 8, 0, 0, 3, 0, 0, 2, 0, 9, 0, 9, 8, 0, 4, 6, 0, 0, 0, 0],[3, 6, 5, 8, 7, 9, 4, 2, 1, 2, 4, 8, 5, 1, 3, 9, 6, 7, 7, 1, 9, 6, 2, 4, 8, 3, 5, 8, 5, 2, 3, 9, 1, 7, 4, 6, 1, 3, 6, 7, 4, 8, 2, 5, 9, 4, 9, 7, 2, 5, 6, 1, 8, 3, 6, 2, 4, 9, 3, 7, 5, 1, 8, 5, 7, 3, 1, 8, 2, 6, 9, 4, 9, 8, 1, 4, 6, 5, 3, 7, 2],
medium,[0, 0, 1, 4, 3, 0, 0, 2, 0, 4, 0, 7, 1, 0, 0, 6, 9, 0, 3, 5, 0, 9, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 8, 0, 6, 4, 0, 0, 8, 0, 0, 0, 9, 0, 0, 6, 7, 0, 3, 0, 0, 0, 0, 0, 0, 8, 5, 0, 0, 9, 0, 3, 6, 0, 4, 9, 0, 0, 3, 7, 0, 1, 0, 6, 0, 0, 5, 1, 4, 0, 0],[8, 9, 1, 4, 3, 6, 5, 2, 7, 4, 2, 7, 1, 8, 5, 6, 9, 3, 3, 5, 6, 9, 2, 7, 1, 4, 8, 9, 1, 2, 5, 7, 8, 3, 6, 4, 5, 3, 8, 6, 1, 4, 9, 7, 2, 6, 7, 4, 3, 9, 2, 8, 1, 5, 1, 8, 5, 7, 4, 9, 2, 3, 6, 2, 4, 9, 8, 6, 3, 7, 5, 1, 7, 6, 3, 2, 5, 1, 4, 8, 9],
medium,[0, 0, 9, 0, 1, 0, 5, 0, 0, 8, 4, 0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 6, 0, 0, 9, 0, 0, 6, 2, 0, 7, 9, 5, 0, 0, 1, 9, 0, 0, 4, 0, 3, 0, 0, 2, 5, 0, 0, 1, 8, 2, 0, 9, 4, 0, 0, 2, 0, 0, 4, 0, 6, 5, 0, 0, 0, 0, 0, 1, 0, 2, 9, 0, 0, 3, 0, 2, 0, 1, 0, 0],[3, 7, 9, 2, 1, 8, 5, 4, 6, 8, 4, 6, 3, 5, 9, 2, 1, 7, 2, 1, 5, 6, 4, 7, 9, 8, 3, 6, 2, 4, 7, 9, 5, 8, 3, 1, 9, 8, 1, 4, 6, 3, 7, 5, 2, 5, 3, 7, 1, 8, 2, 6, 9, 4, 1, 9, 2, 8, 7, 4, 3, 6, 5, 7, 6, 8, 5, 3, 1, 4, 2, 9, 4, 5, 3, 9, 2, 6, 1, 7, 8],
hard,[4, 8, 9, 1, 0, 0, 0, 0, 0, 3, 0, 1, 5, 0, 6, 0, 9, 0, 6, 2, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 4, 3, 0, 0, 7, 0, 0, 4, 0, 0, 1, 0, 0, 8, 0, 0, 6, 0, 0, 8, 9, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 1, 3, 0, 3, 0, 8, 0, 7, 9, 0, 4, 0, 0, 0, 0, 0, 1, 7, 2, 6],[4, 8, 9, 1, 2, 3, 5, 6, 7, 3, 7, 1, 5, 4, 6, 2, 9, 8, 6, 2, 5, 9, 7, 8, 4, 3, 1, 5, 1, 8, 4, 3, 2, 6, 7, 9, 9, 4, 7, 6, 1, 5, 3, 8, 2, 2, 6, 3, 7, 8, 9, 1, 4, 5, 7, 9, 6, 2, 5, 4, 8, 1, 3, 1, 3, 2, 8, 6, 7, 9, 5, 4, 8, 5, 4, 3, 9, 1, 7, 2, 6],
medium,[0, 0, 1, 9, 6, 4, 0, 0, 8, 8, 9, 4, 0, 7, 0, 2, 0, 0, 7, 0, 0, 0, 2, 0, 0, 0, 0, 9, 0, 6, 0, 1, 0, 0, 2, 0, 4, 0, 7, 0, 0, 0, 9, 0, 6, 0, 2, 0, 0, 9, 0, 8, 0, 7, 0, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 9, 0, 5, 0, 7, 3, 1, 5, 0, 0, 1, 4, 7, 6, 0, 0],[2, 5, 1, 9, 6, 4, 3, 7, 8, 8, 9, 4, 3, 7, 1, 2, 6, 5, 7, 6, 3, 5, 2, 8, 1, 4, 9, 9, 8, 6, 7, 1, 5, 4, 2, 3, 4, 1, 7, 2, 8, 3, 9, 5, 6, 3, 2, 5, 4, 9, 6, 8, 1, 7, 1, 7, 2, 6, 3, 9, 5, 8, 4, 6, 4, 9, 8, 5, 2, 7, 3, 1, 5, 3, 8, 1, 4, 7, 6, 9, 2],
hard,[0, 0, 1, 5, 0, 9, 0, 0, 7, 0, 0, 0, 3, 0, 2, 0, 0, 6, 4, 0, 5, 0, 1, 7, 9, 0, 0, 8, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 3, 2, 0, 4, 7, 0, 0, 7, 2, 4, 0, 0, 0, 0, 0, 9, 0, 0, 8, 1, 2, 0, 3, 0, 4, 3, 0, 0, 7, 0, 8, 0, 0, 0, 6, 0, 0, 4, 0, 5, 2, 0, 0],[2, 3, 1, 5, 6, 9, 4, 8, 7, 9, 8, 7, 3, 4, 2, 5, 1, 6, 4, 6, 5, 8, 1, 7, 9, 2, 3, 8, 5, 6, 9, 7, 3, 1, 4, 2, 1, 9, 3, 2, 8, 4, 7, 6, 5, 7, 2, 4, 6, 5, 1, 8, 3, 9, 5, 7, 8, 1, 2, 6, 3, 9, 4, 3, 4, 2, 7, 9, 8, 6, 5, 1, 6, 1, 9, 4, 3, 5, 2, 7, 8],
hard,[0, 7, 4, 0, 8, 5, 0, 6, 0, 5, 0, 0, 7, 6, 0, 0, 0, 0, 2, 0, 9, 1, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 9, 2, 9, 0, 0, 0, 0, 0, 0, 0, 8, 1, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 7, 4, 0, 9, 0, 0, 0, 0, 4, 1, 0, 0, 3, 0, 5, 0, 8, 9, 0, 7, 1, 0],[3, 7, 4, 2, 8, 5, 9, 6, 1, 5, 8, 1, 7, 6, 9, 3, 2, 4, 2, 6, 9, 1, 3, 4, 8, 7, 5, 7, 4, 6, 3, 1, 8, 5, 9, 2, 9, 2, 5, 4, 7, 6, 1, 3, 8, 1, 3, 8, 9, 5, 2, 6, 4, 7, 6, 1, 3, 5, 2, 7, 4, 8, 9, 8, 9, 7, 6, 4, 1, 2, 5, 3, 4, 5, 2, 8, 9, 3, 7, 1, 6],
hard,[9, 0, 0, 7, 2, 0, 0, 3, 0, 0, 5, 7, 0, 4, 0, 1, 9, 8, 0, 3, 4, 0, 9, 8, 0, 0, 2, 0, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 5, 0, 0, 7, 0, 0, 8, 3, 0, 6, 4, 0, 4, 6, 5, 0, 7, 0, 3, 8, 0, 0, 8, 0, 0, 5, 4, 0, 0, 7],[9, 1, 8, 7, 2, 5, 4, 3, 6, 2, 5, 7, 3, 4, 6, 1, 9, 8, 6, 3, 4, 1, 9, 8, 7, 5, 2, 3, 7, 9, 5, 6, 2, 8, 1, 4, 5, 4, 1, 9, 8, 7, 2, 6, 3, 8, 2, 6, 4, 1, 3, 5, 7, 9, 7, 9, 2, 8, 3, 1, 6, 4, 5, 4, 6, 5, 2, 7, 9, 3, 8, 1, 1, 8, 3, 6, 5, 4, 9, 2, 7],
hard,[0, 7, 4, 0, 0, 0, 5, 0, 0, 2, 0, 3, 4, 5, 0, 9, 0, 0, 9, 0, 0, 1, 3, 0, 0, 4, 8, 0, 0, 5, 0, 4, 0, 0, 0, 3, 8, 0, 0, 0, 2, 0, 0, 0, 4, 6, 0, 0, 0, 1, 0, 8, 0, 0, 3, 6, 0, 0, 8, 5, 0, 0, 2, 0, 0, 8, 0, 6, 4, 3, 0, 7, 0, 0, 9, 0, 0, 0, 6, 8, 0],[1, 7, 4, 8, 9, 2, 5, 3, 6, 2, 8, 3, 4, 5, 6, 9, 7, 1, 9, 5, 6, 1, 3, 7, 2, 4, 8, 7, 9, 5, 6, 4, 8, 1, 2, 3, 8, 3, 1, 5, 2, 9, 7, 6, 4, 6, 4, 2, 7, 1, 3, 8, 5, 9, 3, 6, 7, 9, 8, 5, 4, 1, 2, 5, 1, 8, 2, 6, 4, 3, 9, 7, 4, 2, 9, 3, 7, 1, 6, 8, 5],
easy,[0, 0, 7, 0, 0, 0, 0, 4, 5, 0, 2, 0, 0, 6, 0, 0, 0, 1, 0, 8, 9, 1, 0, 4, 6, 7, 0, 8, 9, 0, 0, 3, 1, 0, 0, 0, 0, 5, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 6, 5, 0, 0, 2, 8, 0, 7, 3, 2, 0, 6, 1, 5, 0, 1, 0, 0, 0, 4, 0, 0, 9, 0, 2, 4, 0, 0, 0, 0, 8, 0, 0],[6, 1, 7, 3, 9, 8, 2, 4, 5, 3, 2, 4, 7, 6, 5, 9, 8, 1, 5, 8, 9, 1, 2, 4, 6, 7, 3, 8, 9, 2, 4, 3, 1, 5, 6, 7, 4, 5, 6, 8, 7, 2, 3, 1, 9, 7, 3, 1, 6, 5, 9, 4, 2, 8, 9, 7, 3, 2, 8, 6, 1, 5, 4, 1, 6, 8, 5, 4, 3, 7, 9, 2, 2, 4, 5, 9, 1, 7, 8, 3, 6],
hard,[3, 0, 0, 7, 0, 0, 0, 0, 6, 0, 9, 4, 5, 0, 6, 8, 0, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 3, 0, 0, 5, 2, 0, 1, 0, 5, 1, 6, 8, 2, 7, 3, 0, 6, 0, 2, 1, 0, 0, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 6, 4, 0, 7, 3, 8, 0, 7, 0, 0, 0, 0, 3, 0, 0, 5],[3, 2, 5, 7, 4, 8, 9, 1, 6, 1, 9, 4, 5, 2, 6, 8, 7, 3, 8, 6, 7, 3, 9, 1, 4, 5, 2, 4, 8, 3, 9, 7, 5, 2, 6, 1, 9, 5, 1, 6, 8, 2, 7, 3, 4, 6, 7, 2, 1, 3, 4, 5, 9, 8, 5, 3, 8, 2, 1, 9, 6, 4, 7, 2, 1, 6, 4, 5, 7, 3, 8, 9, 7, 4, 9, 8, 6, 3, 1, 2, 5],
medium,[0, 0, 5, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 2, 0, 5, 0, 0, 2, 1, 0, 9, 0, 3, 0, 4, 6, 3, 0, 2, 0, 9, 7, 0, 0, 0, 0, 7, 0, 8, 0, 9, 0, 0, 0, 0, 9, 3, 0, 7, 0, 8, 6, 3, 0, 2, 0, 7, 0, 6, 1, 0, 0, 9, 0, 1, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 5, 0, 0],[4, 8, 5, 7, 6, 3, 1, 2, 9, 9, 6, 3, 4, 1, 2, 8, 5, 7, 7, 2, 1, 5, 9, 8, 3, 6, 4, 6, 3, 8, 2, 5, 9, 7, 4, 1, 2, 4, 7, 6, 8, 1, 9, 3, 5, 5, 1, 9, 3, 4, 7, 2, 8, 6, 3, 5, 2, 9, 7, 4, 6, 1, 8, 8, 9, 6, 1, 3, 5, 4, 7, 2, 1, 7, 4, 8, 2, 6, 5, 9, 3],
hard,[0, 0, 1, 0, 9, 3, 0, 0, 8, 5, 0, 7, 0, 0, 8, 0, 3, 0, 8, 0, 9, 0, 0, 0, 5, 1, 0, 9, 0, 0, 3, 5, 0, 0, 0, 2, 0, 5, 0, 0, 4, 0, 0, 6, 0, 7, 0, 0, 0, 8, 1, 0, 0, 3, 0, 9, 3, 0, 0, 0, 2, 0, 7, 0, 7, 0, 4, 0, 0, 6, 0, 1, 4, 0, 0, 1, 7, 0, 3, 0, 0],[6, 4, 1, 5, 9, 3, 7, 2, 8, 5, 2, 7, 6, 1, 8, 9, 3, 4, 8, 3, 9, 7, 2, 4, 5, 1, 6, 9, 1, 4, 3, 5, 6, 8, 7, 2, 3, 5, 8, 2, 4, 7, 1, 6, 9, 7, 6, 2, 9, 8, 1, 4, 5, 3, 1, 9, 3, 8, 6, 5, 2, 4, 7, 2, 7, 5, 4, 3, 9, 6, 8, 1, 4, 8, 6, 1, 7, 2, 3, 9, 5],
medium,[0, 0, 4, 0, 2, 7, 0, 0, 0, 0, 8, 5, 0, 0, 9, 0, 2, 0, 0, 6, 0, 4, 0, 0, 0, 0, 7, 0, 5, 8, 7, 0, 2, 0, 0, 0, 0, 9, 7, 6, 0, 4, 8, 5, 0, 0, 0, 0, 9, 0, 5, 2, 7, 0, 1, 0, 0, 0, 0, 3, 0, 6, 0, 0, 7, 0, 5, 0, 0, 1, 4, 0, 0, 0, 0, 2, 7, 0, 3, 0, 0],[9, 1, 4, 3, 2, 7, 5, 8, 6, 7, 8, 5, 1, 6, 9, 4, 2, 3, 3, 6, 2, 4, 5, 8, 9, 1, 7, 4, 5, 8, 7, 1, 2, 6, 3, 9, 2, 9, 7, 6, 3, 4, 8, 5, 1, 6, 3, 1, 9, 8, 5, 2, 7, 4, 1, 2, 9, 8, 4, 3, 7, 6, 5, 8, 7, 3, 5, 9, 6, 1, 4, 2, 5, 4, 6, 2, 7, 1, 3, 9, 8],
medium,[5, 2, 1, 0, 0, 0, 9, 0, 7, 0, 0, 0, 3, 0, 5, 0, 0, 0, 3, 0, 0, 7, 9, 0, 5, 0, 8, 0, 8, 0, 2, 0, 0, 6, 0, 0, 0, 0, 7, 8, 3, 4, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 8, 0, 9, 0, 8, 0, 2, 6, 0, 0, 5, 0, 0, 0, 1, 0, 7, 0, 0, 0, 7, 0, 5, 0, 0, 0, 1, 2, 6],[5, 2, 1, 6, 4, 8, 9, 3, 7, 8, 7, 9, 3, 1, 5, 4, 6, 2, 3, 6, 4, 7, 9, 2, 5, 1, 8, 1, 8, 3, 2, 7, 9, 6, 5, 4, 6, 5, 7, 8, 3, 4, 2, 9, 1, 4, 9, 2, 5, 6, 1, 7, 8, 3, 9, 1, 8, 4, 2, 6, 3, 7, 5, 2, 3, 6, 1, 5, 7, 8, 4, 9, 7, 4, 5, 9, 8, 3, 1, 2, 6],
hard,[0, 5, 2, 0, 4, 9, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 9, 4, 0, 0, 0, 7, 2, 6, 0, 0, 8, 0, 0, 6, 0, 0, 5, 0, 0, 6, 3, 1, 5, 9, 0, 0, 5, 0, 0, 7, 0, 0, 6, 0, 0, 6, 8, 7, 0, 0, 0, 2, 9, 0, 0, 0, 0, 9, 0, 7, 0, 0, 0, 0, 2, 0, 8, 6, 0, 5, 4, 0],[7, 5, 2, 6, 4, 9, 3, 1, 8, 8, 6, 3, 2, 7, 1, 4, 5, 9, 1, 9, 4, 5, 3, 8, 7, 2, 6, 2, 3, 8, 4, 9, 6, 1, 7, 5, 4, 7, 6, 3, 1, 5, 9, 8, 2, 5, 1, 9, 7, 8, 2, 6, 3, 4, 6, 8, 7, 1, 5, 4, 2, 9, 3, 3, 4, 5, 9, 2, 7, 8, 6, 1, 9, 2, 1, 8, 6, 3, 5, 4, 7],
easy,[6, 0, 0, 0, 0, 4, 9, 7, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 5, 7, 9, 0, 0, 2, 0, 0, 0, 0, 9, 3, 1, 2, 7, 0, 8, 0, 0, 0, 8, 0, 5, 0, 0, 0, 2, 0, 3, 6, 9, 7, 4, 0, 0, 0, 0, 5, 0, 0, 9, 8, 2, 0, 0, 0, 0, 0, 0, 0, 6, 5, 0, 0, 2, 6, 7, 0, 0, 0, 0, 9],[6, 3, 2, 5, 8, 4, 9, 7, 1, 9, 1, 4, 2, 7, 6, 5, 8, 3, 8, 5, 7, 9, 3, 1, 2, 4, 6, 5, 4, 9, 3, 1, 2, 7, 6, 8, 7, 6, 1, 8, 4, 5, 3, 9, 2, 2, 8, 3, 6, 9, 7, 4, 1, 5, 3, 7, 5, 1, 6, 9, 8, 2, 4, 1, 9, 8, 4, 2, 3, 6, 5, 7, 4, 2, 6, 7, 5, 8, 1, 3, 9],
medium,[0, 0, 3, 0, 5, 9, 0, 0, 0, 0, 8, 0, 6, 0, 1, 0, 0, 0, 0, 5, 0, 4, 3, 0, 7, 2, 1, 0, 6, 1, 0, 9, 3, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 5, 6, 0, 2, 1, 0, 6, 3, 4, 0, 7, 2, 0, 9, 0, 0, 0, 0, 9, 0, 5, 0, 8, 0, 0, 0, 0, 3, 1, 0, 4, 0, 0],[2, 1, 3, 7, 5, 9, 6, 4, 8, 4, 8, 7, 6, 2, 1, 5, 3, 9, 9, 5, 6, 4, 3, 8, 7, 2, 1, 7, 6, 1, 2, 9, 3, 8, 5, 4, 3, 2, 5, 1, 8, 4, 9, 6, 7, 8, 4, 9, 5, 6, 7, 2, 1, 3, 6, 3, 4, 8, 7, 2, 1, 9, 5, 1, 7, 2, 9, 4, 5, 3, 8, 6, 5, 9, 8, 3, 1, 6, 4, 7, 2],
medium,[0, 3, 8, 0, 5, 0, 0, 4, 9, 0, 1, 0, 0, 0, 9, 8, 0, 0, 9, 6, 7, 0, 0, 2, 0, 0, 1, 7, 0, 2, 5, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 7, 4, 0, 5, 8, 0, 0, 3, 0, 0, 1, 5, 7, 0, 0, 3, 2, 0, 0, 0, 6, 0, 6, 7, 0, 0, 1, 0, 2, 8, 0],[2, 3, 8, 6, 5, 1, 7, 4, 9, 4, 1, 5, 7, 3, 9, 8, 2, 6, 9, 6, 7, 4, 8, 2, 5, 3, 1, 7, 9, 2, 5, 4, 3, 6, 1, 8, 5, 4, 1, 8, 9, 6, 3, 7, 2, 3, 8, 6, 1, 2, 7, 4, 9, 5, 8, 2, 9, 3, 6, 4, 1, 5, 7, 1, 5, 3, 2, 7, 8, 9, 6, 4, 6, 7, 4, 9, 1, 5, 2, 8, 3],
easy,[0, 0, 0, 7, 0, 6, 3, 4, 5, 0, 3, 0, 0, 9, 8, 0, 0, 0, 5, 7, 6, 1, 4, 0, 9, 8, 0, 9, 0, 2, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 6, 0, 9, 7, 0, 8, 2, 5, 1, 4, 0, 0, 0, 6, 1, 0, 0, 3, 0, 1, 8, 3, 4, 0, 7, 0, 0, 0],[8, 1, 9, 7, 2, 6, 3, 4, 5, 2, 3, 4, 5, 9, 8, 7, 6, 1, 5, 7, 6, 1, 4, 3, 9, 8, 2, 9, 4, 2, 8, 6, 5, 1, 7, 3, 7, 6, 1, 9, 3, 4, 2, 5, 8, 3, 5, 8, 2, 7, 1, 4, 9, 6, 6, 9, 7, 3, 8, 2, 5, 1, 4, 4, 2, 5, 6, 1, 9, 8, 3, 7, 1, 8, 3, 4, 5, 7, 6, 2, 9],
easy,[0, 0, 0, 0, 8, 4, 0, 0, 0, 0, 5, 4, 0, 1, 3, 0, 0, 2, 0, 8, 3, 0, 0, 7, 6, 0, 0, 0, 0, 5, 0, 0, 8, 4, 0, 3, 7, 4, 0, 0, 5, 0, 0, 6, 9, 3, 0, 8, 1, 0, 0, 2, 0, 0, 0, 0, 7, 2, 0, 0, 5, 9, 0, 5, 0, 0, 8, 6, 0, 3, 7, 0, 0, 0, 0, 4, 7, 0, 0, 0, 0],[2, 7, 6, 5, 8, 4, 9, 3, 1, 9, 5, 4, 6, 1, 3, 7, 8, 2, 1, 8, 3, 9, 2, 7, 6, 4, 5, 6, 2, 5, 7, 9, 8, 4, 1, 3, 7, 4, 1, 3, 5, 2, 8, 6, 9, 3, 9, 8, 1, 4, 6, 2, 5, 7, 4, 6, 7, 2, 3, 1, 5, 9, 8, 5, 1, 2, 8, 6, 9, 3, 7, 4, 8, 3, 9, 4, 7, 5, 1, 2, 6],
hard,[0, 0, 0, 2, 4, 3, 6, 0, 7, 7, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 7, 9, 0, 5, 0, 0, 0, 5, 9, 8, 1, 0, 3, 0, 7, 0, 6, 0, 4, 0, 5, 0, 9, 0, 5, 7, 1, 2, 0, 0, 0, 3, 0, 7, 4, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 2, 4, 2, 0, 4, 9, 7, 5, 0, 0, 0],[5, 9, 8, 2, 4, 3, 6, 1, 7, 7, 1, 6, 8, 5, 9, 3, 4, 2, 4, 2, 3, 1, 6, 7, 9, 8, 5, 6, 4, 2, 5, 9, 8, 1, 7, 3, 8, 7, 1, 6, 3, 4, 2, 5, 9, 9, 3, 5, 7, 1, 2, 4, 6, 8, 3, 8, 7, 4, 2, 1, 5, 9, 6, 1, 5, 9, 3, 8, 6, 7, 2, 4, 2, 6, 4, 9, 7, 5, 8, 3, 1],
hard,[0, 0, 0, 6, 0, 4, 1, 0, 3, 0, 0, 0, 0, 0, 5, 0, 2, 7, 0, 3, 0, 9, 2, 0, 5, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 5, 0, 0, 6, 8, 5, 2, 3, 0, 0, 5, 0, 0, 0, 7, 0, 2, 0, 0, 0, 0, 5, 0, 9, 1, 0, 6, 0, 7, 4, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 5, 0, 8, 0, 0, 0],[2, 5, 7, 6, 8, 4, 1, 9, 3, 4, 9, 8, 1, 3, 5, 6, 2, 7, 6, 3, 1, 9, 2, 7, 5, 4, 8, 8, 2, 3, 4, 1, 6, 9, 7, 5, 9, 7, 6, 8, 5, 2, 3, 1, 4, 5, 1, 4, 3, 7, 9, 2, 8, 6, 3, 8, 5, 7, 9, 1, 4, 6, 2, 7, 4, 9, 2, 6, 3, 8, 5, 1, 1, 6, 2, 5, 4, 8, 7, 3, 9],
hard,[0, 0, 7, 0, 3, 9, 0, 0, 5, 0, 9, 0, 0, 5, 0, 8, 7, 0, 2, 0, 0, 0, 0, 0, 4, 6, 0, 0, 6, 0, 5, 0, 1, 7, 9, 4, 0, 7, 0, 0, 0, 0, 0, 5, 0, 5, 1, 8, 7, 0, 4, 0, 3, 0, 0, 5, 3, 0, 0, 0, 0, 0, 6, 0, 2, 6, 0, 1, 0, 0, 4, 0, 7, 0, 0, 3, 6, 0, 5, 0, 0],[6, 8, 7, 4, 3, 9, 2, 1, 5, 4, 9, 1, 2, 5, 6, 8, 7, 3, 2, 3, 5, 1, 7, 8, 4, 6, 9, 3, 6, 2, 5, 8, 1, 7, 9, 4, 9, 7, 4, 6, 2, 3, 1, 5, 8, 5, 1, 8, 7, 9, 4, 6, 3, 2, 1, 5, 3, 8, 4, 7, 9, 2, 6, 8, 2, 6, 9, 1, 5, 3, 4, 7, 7, 4, 9, 3, 6, 2, 5, 8, 1],
hard,[0, 7, 6, 0, 9, 2, 3, 0, 0, 0, 4, 9, 8, 0, 0, 2, 6, 1, 2, 0, 0, 0, 3, 0, 0, 0, 9, 0, 6, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 8, 0, 6, 0, 0, 9, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 6, 0, 0, 0, 5, 6, 3, 4, 0, 0, 5, 1, 2, 0, 0, 0, 5, 4, 2, 0, 9, 3, 0],[5, 7, 6, 1, 9, 2, 3, 8, 4, 3, 4, 9, 8, 5, 7, 2, 6, 1, 2, 8, 1, 6, 3, 4, 7, 5, 9, 1, 6, 8, 2, 4, 3, 5, 9, 7, 4, 2, 7, 5, 8, 9, 6, 1, 3, 9, 5, 3, 7, 1, 6, 8, 4, 2, 8, 9, 2, 3, 6, 1, 4, 7, 5, 6, 3, 4, 9, 7, 5, 1, 2, 8, 7, 1, 5, 4, 2, 8, 9, 3, 6],
hard,[1, 0, 0, 9, 0, 6, 0, 0, 0, 0, 8, 3, 7, 0, 0, 6, 0, 0, 5, 0, 0, 1, 2, 0, 0, 0, 0, 9, 0, 7, 0, 6, 0, 0, 0, 5, 3, 2, 1, 0, 4, 0, 7, 6, 8, 6, 0, 0, 0, 7, 0, 2, 0, 9, 0, 0, 0, 0, 1, 5, 0, 0, 4, 0, 0, 9, 0, 0, 7, 5, 2, 0, 0, 0, 0, 4, 0, 2, 0, 0, 3],[1, 7, 4, 9, 8, 6, 3, 5, 2, 2, 8, 3, 7, 5, 4, 6, 9, 1, 5, 9, 6, 1, 2, 3, 4, 8, 7, 9, 4, 7, 2, 6, 8, 1, 3, 5, 3, 2, 1, 5, 4, 9, 7, 6, 8, 6, 5, 8, 3, 7, 1, 2, 4, 9, 8, 3, 2, 6, 1, 5, 9, 7, 4, 4, 1, 9, 8, 3, 7, 5, 2, 6, 7, 6, 5, 4, 9, 2, 8, 1, 3],
hard,[0, 0, 0, 0, 9, 0, 0, 0, 8, 0, 0, 2, 1, 0, 0, 3, 0, 0, 8, 0, 0, 5, 7, 3, 0, 0, 9, 2, 1, 0, 3, 5, 0, 9, 0, 7, 0, 4, 0, 0, 8, 0, 0, 1, 0, 3, 0, 7, 0, 2, 1, 0, 5, 6, 6, 0, 0, 9, 1, 5, 0, 0, 2, 0, 0, 9, 0, 0, 2, 7, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0],[7, 3, 1, 2, 9, 4, 5, 6, 8, 9, 5, 2, 1, 6, 8, 3, 7, 4, 8, 6, 4, 5, 7, 3, 1, 2, 9, 2, 1, 8, 3, 5, 6, 9, 4, 7, 5, 4, 6, 7, 8, 9, 2, 1, 3, 3, 9, 7, 4, 2, 1, 8, 5, 6, 6, 7, 3, 9, 1, 5, 4, 8, 2, 1, 8, 9, 6, 4, 2, 7, 3, 5, 4, 2, 5, 8, 3, 7, 6, 9, 1],
hard,[9, 0, 0, 0, 0, 3, 1, 0, 0, 4, 3, 0, 1, 8, 0, 0, 6, 2, 0, 0, 8, 4, 0, 6, 0, 0, 0, 0, 0, 0, 7, 1, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 4, 9, 0, 0, 0, 0, 0, 0, 5, 0, 1, 6, 0, 0, 1, 6, 0, 0, 2, 4, 0, 5, 8, 0, 0, 9, 8, 0, 0, 0, 0, 1],[9, 5, 6, 2, 7, 3, 1, 8, 4, 4, 3, 7, 1, 8, 5, 9, 6, 2, 2, 1, 8, 4, 9, 6, 5, 3, 7, 3, 8, 5, 7, 1, 2, 4, 9, 6, 7, 9, 4, 6, 5, 8, 2, 1, 3, 6, 2, 1, 3, 4, 9, 8, 7, 5, 8, 7, 2, 5, 3, 1, 6, 4, 9, 1, 6, 3, 9, 2, 4, 7, 5, 8, 5, 4, 9, 8, 6, 7, 3, 2, 1],
easy,[0, 0, 7, 0, 5, 0, 0, 4, 0, 3, 6, 0, 0, 0, 1, 9, 2, 0, 0, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 9, 5, 4, 6, 2, 8, 3, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 2, 0, 0, 0, 0, 4, 0, 0, 0, 1, 8, 6, 0, 0, 0, 5, 9, 0, 7, 0, 0, 4, 0, 3, 0, 0],[2, 8, 7, 9, 5, 6, 1, 4, 3, 3, 6, 4, 8, 7, 1, 9, 2, 5, 1, 5, 9, 3, 2, 4, 6, 8, 7, 8, 4, 1, 7, 9, 3, 5, 6, 2, 7, 9, 5, 4, 6, 2, 8, 3, 1, 6, 3, 2, 5, 1, 8, 7, 9, 4, 9, 2, 3, 1, 8, 5, 4, 7, 6, 4, 1, 8, 6, 3, 7, 2, 5, 9, 5, 7, 6, 2, 4, 9, 3, 1, 8],
easy,[9, 7, 0, 5, 0, 2, 0, 4, 0, 0, 8, 2, 0, 0, 4, 0, 0, 5, 4, 0, 5, 1, 0, 6, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 2, 0, 8, 0, 0, 0, 7, 5, 0, 0, 0, 0, 0, 2, 9, 0, 0, 0, 9, 0, 7, 5, 0, 2, 5, 0, 0, 8, 0, 0, 4, 6, 0, 0, 4, 0, 3, 0, 5, 0, 9, 1],[9, 7, 1, 5, 8, 2, 3, 4, 6, 6, 8, 2, 7, 3, 4, 9, 1, 5, 4, 3, 5, 1, 9, 6, 2, 7, 8, 1, 2, 4, 6, 5, 9, 7, 8, 3, 3, 6, 9, 2, 7, 8, 1, 5, 4, 7, 5, 8, 4, 1, 3, 6, 2, 9, 8, 1, 6, 9, 4, 7, 5, 3, 2, 5, 9, 3, 8, 2, 1, 4, 6, 7, 2, 4, 7, 3, 6, 5, 8, 9, 1],
hard,[0, 0, 0, 0, 0, 0, 1, 0, 7, 5, 0, 0, 0, 7, 3, 9, 4, 0, 7, 0, 9, 0, 8, 0, 0, 2, 6, 8, 0, 2, 0, 9, 7, 0, 0, 0, 0, 0, 3, 5, 0, 8, 2, 0, 0, 0, 0, 0, 2, 4, 0, 8, 0, 3, 9, 1, 0, 0, 6, 0, 5, 0, 4, 0, 3, 8, 7, 5, 0, 0, 0, 1, 6, 0, 4, 0, 0, 0, 0, 0, 0],[3, 8, 6, 4, 2, 9, 1, 5, 7, 5, 2, 1, 6, 7, 3, 9, 4, 8, 7, 4, 9, 1, 8, 5, 3, 2, 6, 8, 6, 2, 3, 9, 7, 4, 1, 5, 4, 7, 3, 5, 1, 8, 2, 6, 9, 1, 9, 5, 2, 4, 6, 8, 7, 3, 9, 1, 7, 8, 6, 2, 5, 3, 4, 2, 3, 8, 7, 5, 4, 6, 9, 1, 6, 5, 4, 9, 3, 1, 7, 8, 2],
easy,[0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 9, 3, 0, 4, 1, 0, 7, 3, 0, 0, 1, 0, 6, 2, 9, 0, 7, 2, 8, 0, 4, 0, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 7, 0, 4, 5, 9, 0, 4, 6, 2, 0, 8, 0, 0, 3, 5, 0, 2, 4, 0, 7, 9, 0, 0, 9, 3, 0, 0, 0, 0, 0, 0, 0],[8, 5, 1, 7, 2, 9, 6, 3, 4, 2, 6, 9, 3, 5, 4, 1, 8, 7, 3, 7, 4, 1, 8, 6, 2, 9, 5, 7, 2, 8, 9, 4, 5, 3, 6, 1, 4, 9, 5, 6, 1, 3, 7, 2, 8, 6, 1, 3, 8, 7, 2, 4, 5, 9, 1, 4, 6, 2, 9, 8, 5, 7, 3, 5, 8, 2, 4, 3, 7, 9, 1, 6, 9, 3, 7, 5, 6, 1, 8, 4, 2],
easy,[7, 0, 3, 9, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 5, 0, 3, 7, 0, 0, 0, 7, 2, 0, 9, 0, 5, 0, 0, 0, 6, 4, 7, 0, 0, 9, 0, 7, 0, 0, 8, 0, 0, 4, 0, 8, 0, 0, 3, 9, 1, 0, 0, 0, 1, 0, 2, 0, 7, 4, 0, 0, 0, 9, 8, 0, 1, 5, 0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 4, 0, 8],[7, 5, 3, 9, 1, 8, 2, 6, 4, 2, 9, 8, 4, 6, 5, 1, 3, 7, 4, 1, 6, 7, 2, 3, 9, 8, 5, 3, 2, 1, 6, 4, 7, 8, 5, 9, 6, 7, 9, 5, 8, 2, 3, 4, 1, 8, 4, 5, 3, 9, 1, 6, 7, 2, 1, 3, 2, 8, 7, 4, 5, 9, 6, 9, 8, 4, 1, 5, 6, 7, 2, 3, 5, 6, 7, 2, 3, 9, 4, 1, 8],
hard,[4, 6, 0, 8, 3, 1, 5, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 3, 9, 5, 0, 8, 2, 0, 0, 0, 6, 0, 9, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 4, 0, 1, 0, 0, 0, 2, 4, 0, 8, 3, 9, 0, 5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 7, 2, 9, 0, 3, 8],[4, 6, 2, 8, 3, 1, 5, 9, 7, 9, 8, 5, 2, 7, 4, 3, 6, 1, 1, 7, 3, 9, 5, 6, 8, 2, 4, 2, 4, 6, 1, 9, 8, 7, 5, 3, 5, 1, 8, 3, 6, 7, 2, 4, 9, 3, 9, 7, 5, 4, 2, 1, 8, 6, 7, 2, 4, 6, 8, 3, 9, 1, 5, 8, 3, 9, 4, 1, 5, 6, 7, 2, 6, 5, 1, 7, 2, 9, 4, 3, 8],
easy,[0, 0, 0, 0, 8, 0, 7, 0, 1, 5, 1, 0, 0, 7, 2, 0, 3, 4, 6, 0, 2, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 2, 9, 6, 0, 8, 7, 0, 0, 0, 0, 0, 0, 0, 4, 6, 0, 0, 0, 0, 0, 0, 8, 0, 5, 8, 5, 0, 1, 2, 0, 0, 6, 3, 9, 0, 4, 0, 3, 0, 0, 0, 0],[4, 9, 3, 6, 8, 5, 7, 2, 1, 5, 1, 8, 9, 7, 2, 6, 3, 4, 6, 7, 2, 4, 1, 3, 9, 5, 8, 3, 2, 6, 8, 4, 7, 5, 1, 9, 1, 4, 5, 2, 9, 6, 3, 8, 7, 7, 8, 9, 3, 5, 1, 2, 4, 6, 2, 3, 1, 7, 6, 4, 8, 9, 5, 8, 5, 7, 1, 2, 9, 4, 6, 3, 9, 6, 4, 5, 3, 8, 1, 7, 2],
medium,[0, 7, 9, 0, 0, 6, 3, 0, 0, 6, 0, 0, 0, 0, 0, 7, 9, 0, 0, 3, 2, 0, 4, 0, 0, 5, 0, 0, 6, 0, 9, 0, 0, 5, 3, 0, 0, 5, 7, 3, 0, 4, 9, 2, 0, 0, 9, 3, 0, 0, 7, 0, 8, 0, 0, 1, 0, 0, 6, 0, 2, 7, 0, 0, 4, 6, 0, 0, 0, 0, 0, 9, 0, 0, 5, 1, 0, 0, 4, 6, 0],[5, 7, 9, 8, 2, 6, 3, 4, 1, 6, 8, 4, 5, 3, 1, 7, 9, 2, 1, 3, 2, 7, 4, 9, 6, 5, 8, 4, 6, 1, 9, 8, 2, 5, 3, 7, 8, 5, 7, 3, 1, 4, 9, 2, 6, 2, 9, 3, 6, 5, 7, 1, 8, 4, 9, 1, 8, 4, 6, 3, 2, 7, 5, 3, 4, 6, 2, 7, 5, 8, 1, 9, 7, 2, 5, 1, 9, 8, 4, 6, 3],
medium,[0, 0, 5, 0, 0, 0, 0, 4, 6, 7, 0, 6, 0, 8, 0, 5, 0, 2, 4, 0, 0, 3, 0, 0, 0, 9, 0, 9, 0, 1, 7, 6, 5, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 0, 8, 0, 2, 1, 3, 9, 0, 4, 0, 1, 0, 0, 0, 2, 0, 0, 9, 8, 0, 9, 0, 3, 0, 4, 0, 5, 3, 6, 0, 0, 0, 0, 7, 0, 0],[1, 3, 5, 9, 2, 7, 8, 4, 6, 7, 9, 6, 1, 8, 4, 5, 3, 2, 4, 2, 8, 3, 5, 6, 1, 9, 7, 9, 4, 1, 7, 6, 5, 2, 8, 3, 2, 5, 3, 4, 9, 8, 6, 7, 1, 6, 8, 7, 2, 1, 3, 9, 5, 4, 5, 1, 4, 8, 7, 2, 3, 6, 9, 8, 7, 9, 6, 3, 1, 4, 2, 5, 3, 6, 2, 5, 4, 9, 7, 1, 8],
easy,[7, 0, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 5, 9, 0, 0, 8, 5, 0, 0, 6, 3, 0, 7, 0, 0, 7, 0, 6, 1, 0, 0, 5, 3, 0, 0, 9, 0, 7, 0, 0, 2, 1, 0, 0, 5, 8, 0, 6, 0, 0, 2, 0, 4, 1, 0, 0, 8, 6, 0, 0, 9, 8, 0, 7, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 4],[7, 3, 2, 8, 5, 9, 4, 1, 6, 4, 6, 1, 7, 2, 3, 5, 9, 8, 9, 8, 5, 4, 1, 6, 3, 2, 7, 8, 2, 7, 3, 6, 1, 9, 4, 5, 3, 5, 6, 9, 4, 7, 1, 8, 2, 1, 4, 9, 5, 8, 2, 6, 7, 3, 2, 7, 4, 1, 3, 5, 8, 6, 9, 5, 9, 8, 6, 7, 4, 2, 3, 1, 6, 1, 3, 2, 9, 8, 7, 5, 4],
easy,[6, 0, 0, 7, 8, 4, 0, 3, 0, 8, 0, 0, 0, 1, 9, 0, 6, 7, 0, 0, 0, 6, 0, 0, 8, 0, 0, 9, 0, 0, 0, 6, 5, 0, 0, 2, 5, 0, 1, 0, 0, 0, 6, 0, 3, 2, 0, 0, 3, 9, 0, 0, 0, 4, 0, 0, 5, 0, 0, 1, 0, 0, 0, 7, 9, 0, 5, 2, 0, 0, 0, 1, 0, 4, 0, 8, 3, 7, 0, 0, 6],[6, 2, 9, 7, 8, 4, 1, 3, 5, 8, 5, 3, 2, 1, 9, 4, 6, 7, 4, 1, 7, 6, 5, 3, 8, 2, 9, 9, 3, 4, 1, 6, 5, 7, 8, 2, 5, 8, 1, 4, 7, 2, 6, 9, 3, 2, 7, 6, 3, 9, 8, 5, 1, 4, 3, 6, 5, 9, 4, 1, 2, 7, 8, 7, 9, 8, 5, 2, 6, 3, 4, 1, 1, 4, 2, 8, 3, 7, 9, 5, 6],
hard,[0, 5, 0, 0, 9, 0, 0, 8, 0, 2, 0, 1, 0, 6, 4, 0, 0, 5, 3, 0, 6, 5, 0, 0, 1, 9, 4, 0, 0, 4, 0, 0, 0, 0, 2, 0, 9, 0, 0, 0, 8, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 9, 0, 0, 6, 3, 9, 0, 0, 8, 4, 0, 2, 1, 0, 0, 6, 2, 0, 7, 0, 9, 0, 2, 0, 0, 1, 0, 0, 6, 0],[4, 5, 7, 3, 9, 1, 2, 8, 6, 2, 9, 1, 8, 6, 4, 3, 7, 5, 3, 8, 6, 5, 7, 2, 1, 9, 4, 8, 6, 4, 9, 3, 7, 5, 2, 1, 9, 1, 3, 2, 8, 5, 6, 4, 7, 5, 7, 2, 1, 4, 6, 9, 3, 8, 6, 3, 9, 7, 5, 8, 4, 1, 2, 1, 4, 8, 6, 2, 3, 7, 5, 9, 7, 2, 5, 4, 1, 9, 8, 6, 3],
hard,[7, 0, 0, 8, 0, 0, 0, 9, 0, 0, 0, 1, 0, 5, 9, 2, 0, 7, 0, 0, 0, 6, 0, 3, 0, 0, 1, 0, 0, 0, 3, 6, 0, 4, 0, 2, 5, 0, 2, 0, 4, 0, 9, 0, 6, 6, 0, 4, 0, 1, 2, 0, 0, 0, 9, 0, 0, 5, 0, 6, 0, 0, 0, 4, 0, 5, 2, 3, 0, 1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 5],[7, 4, 6, 8, 2, 1, 5, 9, 3, 3, 8, 1, 4, 5, 9, 2, 6, 7, 2, 5, 9, 6, 7, 3, 8, 4, 1, 1, 9, 8, 3, 6, 5, 4, 7, 2, 5, 3, 2, 7, 4, 8, 9, 1, 6, 6, 7, 4, 9, 1, 2, 3, 5, 8, 9, 1, 3, 5, 8, 6, 7, 2, 4, 4, 6, 5, 2, 3, 7, 1, 8, 9, 8, 2, 7, 1, 9, 4, 6, 3, 5],
medium,[0, 0, 3, 6, 0, 0, 0, 0, 2, 1, 0, 5, 0, 0, 0, 0, 6, 8, 0, 2, 0, 8, 0, 0, 3, 7, 5, 0, 3, 0, 0, 6, 0, 7, 0, 1, 5, 0, 0, 3, 0, 9, 0, 0, 4, 6, 0, 2, 0, 4, 0, 0, 3, 0, 7, 5, 1, 0, 0, 8, 0, 4, 0, 2, 4, 0, 0, 0, 0, 9, 0, 3, 3, 0, 0, 0, 0, 2, 8, 0, 0],[8, 7, 3, 6, 5, 4, 1, 9, 2, 1, 9, 5, 7, 2, 3, 4, 6, 8, 4, 2, 6, 8, 9, 1, 3, 7, 5, 9, 3, 4, 2, 6, 5, 7, 8, 1, 5, 1, 7, 3, 8, 9, 6, 2, 4, 6, 8, 2, 1, 4, 7, 5, 3, 9, 7, 5, 1, 9, 3, 8, 2, 4, 6, 2, 4, 8, 5, 7, 6, 9, 1, 3, 3, 6, 9, 4, 1, 2, 8, 5, 7],
easy,[0, 6, 5, 8, 9, 2, 0, 0, 0, 3, 2, 9, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 5, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 6, 9, 0, 0, 0, 0, 0, 1, 0, 0, 5, 6, 8, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 5, 3, 2, 0, 0, 0, 5, 2, 3, 7, 1, 0],[1, 6, 5, 8, 9, 2, 3, 4, 7, 3, 2, 9, 6, 7, 4, 8, 5, 1, 7, 4, 8, 3, 5, 1, 2, 9, 6, 6, 5, 4, 2, 3, 8, 1, 7, 9, 8, 7, 3, 1, 6, 9, 4, 2, 5, 2, 9, 1, 7, 4, 5, 6, 8, 3, 5, 3, 2, 4, 1, 7, 9, 6, 8, 4, 1, 7, 9, 8, 6, 5, 3, 2, 9, 8, 6, 5, 2, 3, 7, 1, 4],
medium,[0, 7, 2, 8, 0, 0, 0, 9, 0, 5, 0, 0, 0, 1, 3, 0, 4, 0, 0, 1, 6, 0, 0, 0, 0, 0, 2, 0, 4, 5, 0, 9, 0, 7, 1, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 2, 7, 0, 5, 0, 8, 3, 0, 7, 0, 0, 0, 0, 0, 2, 6, 0, 0, 9, 0, 4, 6, 0, 0, 0, 3, 0, 3, 0, 0, 0, 8, 4, 7, 0],[3, 7, 2, 8, 4, 6, 5, 9, 1, 5, 8, 9, 2, 1, 3, 6, 4, 7, 4, 1, 6, 9, 7, 5, 3, 8, 2, 8, 4, 5, 3, 9, 2, 7, 1, 6, 1, 6, 3, 7, 8, 4, 9, 2, 5, 9, 2, 7, 6, 5, 1, 8, 3, 4, 7, 5, 4, 1, 3, 9, 2, 6, 8, 2, 9, 8, 4, 6, 7, 1, 5, 3, 6, 3, 1, 5, 2, 8, 4, 7, 9],
medium,[0, 0, 9, 1, 0, 0, 0, 4, 0, 1, 8, 0, 0, 3, 0, 9, 5, 0, 4, 0, 0, 2, 0, 0, 7, 6, 1, 0, 0, 0, 0, 8, 3, 2, 0, 7, 0, 0, 0, 6, 0, 9, 0, 0, 0, 3, 0, 8, 7, 2, 0, 0, 0, 0, 7, 3, 4, 0, 0, 5, 0, 0, 9, 0, 9, 2, 0, 4, 0, 0, 7, 6, 0, 6, 0, 0, 0, 2, 5, 0, 0],[6, 2, 9, 1, 5, 7, 3, 4, 8, 1, 8, 7, 4, 3, 6, 9, 5, 2, 4, 5, 3, 2, 9, 8, 7, 6, 1, 9, 4, 6, 5, 8, 3, 2, 1, 7, 2, 7, 5, 6, 1, 9, 4, 8, 3, 3, 1, 8, 7, 2, 4, 6, 9, 5, 7, 3, 4, 8, 6, 5, 1, 2, 9, 5, 9, 2, 3, 4, 1, 8, 7, 6, 8, 6, 1, 9, 7, 2, 5, 3, 4],
hard,[2, 1, 0, 0, 0, 3, 4, 0, 0, 0, 0, 5, 0, 8, 4, 0, 0, 2, 0, 4, 0, 5, 0, 1, 7, 8, 0, 0, 2, 6, 3, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 6, 2, 5, 0, 0, 5, 1, 2, 0, 7, 0, 4, 0, 3, 0, 0, 1, 4, 0, 5, 0, 0, 0, 0, 7, 9, 0, 0, 0, 2, 6],[2, 1, 8, 7, 9, 3, 4, 6, 5, 7, 3, 5, 6, 8, 4, 9, 1, 2, 6, 4, 9, 5, 2, 1, 7, 8, 3, 5, 2, 6, 3, 1, 9, 8, 7, 4, 1, 7, 4, 8, 5, 2, 6, 3, 9, 8, 9, 3, 4, 7, 6, 2, 5, 1, 9, 5, 1, 2, 6, 7, 3, 4, 8, 3, 6, 2, 1, 4, 8, 5, 9, 7, 4, 8, 7, 9, 3, 5, 1, 2, 6],
easy,[9, 0, 0, 0, 8, 2, 6, 0, 0, 0, 6, 0, 0, 4, 0, 2, 8, 0, 8, 7, 0, 1, 0, 3, 0, 0, 0, 3, 0, 0, 7, 0, 0, 0, 4, 0, 2, 0, 0, 0, 5, 0, 0, 0, 6, 0, 1, 0, 0, 0, 9, 0, 0, 5, 0, 0, 0, 6, 0, 1, 0, 5, 8, 0, 3, 8, 0, 2, 0, 0, 6, 0, 0, 0, 9, 3, 7, 0, 0, 0, 1],[9, 4, 3, 5, 8, 2, 6, 1, 7, 5, 6, 1, 9, 4, 7, 2, 8, 3, 8, 7, 2, 1, 6, 3, 5, 9, 4, 3, 8, 5, 7, 1, 6, 9, 4, 2, 2, 9, 7, 8, 5, 4, 1, 3, 6, 4, 1, 6, 2, 3, 9, 8, 7, 5, 7, 2, 4, 6, 9, 1, 3, 5, 8, 1, 3, 8, 4, 2, 5, 7, 6, 9, 6, 5, 9, 3, 7, 8, 4, 2, 1],
medium,[0, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 8, 0, 2, 4, 0, 3, 8, 4, 2, 0, 0, 1, 5, 0, 9, 2, 0, 3, 4, 0, 0, 8, 0, 0, 4, 0, 1, 0, 2, 0, 3, 0, 0, 3, 0, 0, 7, 8, 0, 2, 5, 0, 5, 3, 0, 0, 1, 9, 7, 4, 0, 9, 1, 0, 5, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0],[2, 7, 5, 4, 1, 3, 8, 9, 6, 6, 1, 9, 5, 8, 7, 2, 4, 3, 3, 8, 4, 2, 9, 6, 1, 5, 7, 9, 2, 7, 3, 4, 5, 6, 8, 1, 5, 4, 8, 1, 6, 2, 7, 3, 9, 1, 3, 6, 9, 7, 8, 4, 2, 5, 8, 5, 3, 6, 2, 1, 9, 7, 4, 7, 9, 1, 8, 5, 4, 3, 6, 2, 4, 6, 2, 7, 3, 9, 5, 1, 8],
hard,[0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 3, 5, 0, 0, 4, 7, 1, 2, 1, 0, 0, 0, 0, 7, 5, 0, 4, 4, 0, 1, 0, 0, 3, 0, 2, 9, 0, 0, 9, 2, 0, 6, 4, 0, 0, 7, 6, 0, 4, 0, 0, 1, 0, 8, 6, 0, 7, 9, 0, 0, 0, 0, 5, 2, 9, 3, 7, 0, 0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],[8, 7, 4, 5, 2, 1, 3, 9, 6, 9, 3, 5, 6, 8, 4, 7, 1, 2, 1, 2, 6, 3, 9, 7, 5, 8, 4, 4, 5, 1, 8, 7, 3, 6, 2, 9, 3, 8, 9, 2, 1, 6, 4, 5, 7, 7, 6, 2, 4, 5, 9, 1, 3, 8, 6, 1, 7, 9, 3, 8, 2, 4, 5, 2, 9, 3, 7, 4, 5, 8, 6, 1, 5, 4, 8, 1, 6, 2, 9, 7, 3],
easy,[3, 0, 0, 0, 0, 0, 0, 0, 9, 1, 6, 5, 7, 2, 9, 0, 3, 0, 0, 8, 0, 0, 3, 0, 6, 7, 0, 2, 0, 6, 4, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 0, 8, 0, 9, 0, 0, 0, 0, 3, 2, 0, 7, 0, 5, 3, 0, 9, 0, 0, 4, 0, 0, 9, 0, 3, 7, 1, 5, 2, 8, 7, 0, 0, 0, 0, 0, 0, 0, 6],[3, 7, 2, 6, 4, 8, 1, 5, 9, 1, 6, 5, 7, 2, 9, 8, 3, 4, 4, 8, 9, 1, 3, 5, 6, 7, 2, 2, 3, 6, 4, 8, 7, 9, 1, 5, 5, 1, 7, 9, 6, 2, 4, 8, 3, 9, 4, 8, 5, 1, 3, 2, 6, 7, 8, 5, 3, 2, 9, 6, 7, 4, 1, 6, 9, 4, 3, 7, 1, 5, 2, 8, 7, 2, 1, 8, 5, 4, 3, 9, 6],
hard,[3, 0, 0, 7, 0, 0, 8, 4, 6, 0, 7, 0, 0, 6, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 9, 0, 0, 4, 0, 0, 6, 7, 5, 0, 0, 0, 8, 5, 1, 0, 0, 0, 6, 7, 9, 0, 0, 0, 1, 8, 9, 0, 0, 3, 0, 0, 3, 8, 0, 0, 0, 0, 0, 7, 9, 0, 0, 5, 0, 0, 6, 0, 5, 6, 8, 0, 0, 7, 0, 0, 4],[3, 1, 5, 7, 9, 2, 8, 4, 6, 9, 7, 4, 3, 6, 8, 5, 1, 2, 2, 8, 6, 5, 4, 1, 9, 3, 7, 4, 3, 9, 6, 7, 5, 2, 8, 1, 8, 5, 1, 2, 3, 4, 6, 7, 9, 6, 2, 7, 1, 8, 9, 4, 5, 3, 1, 4, 3, 8, 2, 6, 7, 9, 5, 7, 9, 2, 4, 5, 3, 1, 6, 8, 5, 6, 8, 9, 1, 7, 3, 2, 4],
medium,[0, 0, 8, 6, 0, 9, 0, 0, 7, 1, 9, 0, 4, 8, 0, 5, 3, 0, 0, 4, 7, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 6, 0, 9, 0, 1, 0, 8, 0, 0, 8, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 3, 0, 0, 2, 9, 0, 0, 2, 6, 0, 4, 5, 0, 7, 3, 8, 0, 0, 1, 0, 2, 6, 0, 0],[5, 3, 8, 6, 2, 9, 4, 1, 7, 1, 9, 2, 4, 8, 7, 5, 3, 6, 6, 4, 7, 5, 1, 3, 8, 2, 9, 3, 1, 9, 2, 6, 8, 7, 5, 4, 7, 6, 4, 9, 5, 1, 3, 8, 2, 2, 8, 5, 7, 3, 4, 9, 6, 1, 4, 5, 1, 3, 7, 6, 2, 9, 8, 9, 2, 6, 8, 4, 5, 1, 7, 3, 8, 7, 3, 1, 9, 2, 6, 4, 5],
medium,[0, 0, 8, 0, 0, 0, 0, 5, 9, 4, 3, 0, 0, 5, 0, 0, 0, 7, 5, 9, 0, 0, 0, 7, 0, 2, 0, 1, 0, 0, 4, 0, 0, 0, 6, 8, 3, 8, 0, 9, 0, 6, 0, 4, 2, 6, 2, 0, 0, 0, 8, 0, 0, 5, 0, 6, 0, 5, 0, 0, 0, 8, 4, 2, 0, 0, 0, 9, 0, 0, 3, 6, 8, 4, 0, 0, 0, 0, 5, 0, 0],[7, 1, 8, 2, 4, 3, 6, 5, 9, 4, 3, 2, 6, 5, 9, 8, 1, 7, 5, 9, 6, 1, 8, 7, 4, 2, 3, 1, 7, 9, 4, 2, 5, 3, 6, 8, 3, 8, 5, 9, 7, 6, 1, 4, 2, 6, 2, 4, 3, 1, 8, 9, 7, 5, 9, 6, 7, 5, 3, 1, 2, 8, 4, 2, 5, 1, 8, 9, 4, 7, 3, 6, 8, 4, 3, 7, 6, 2, 5, 9, 1],
medium,[0, 0, 0, 6, 8, 2, 0, 7, 9, 0, 0, 2, 0, 9, 3, 8, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 5, 0, 0, 0, 0, 0, 3, 9, 2, 0, 9, 0, 3, 5, 6, 0, 4, 0, 4, 7, 3, 0, 0, 0, 0, 0, 6, 0, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 7, 4, 3, 0, 6, 0, 0, 8, 5, 0, 2, 1, 7, 0, 0, 0],[3, 1, 5, 6, 8, 2, 4, 7, 9, 7, 4, 2, 1, 9, 3, 8, 6, 5, 6, 8, 9, 7, 4, 5, 1, 2, 3, 5, 6, 1, 8, 7, 4, 3, 9, 2, 2, 9, 8, 3, 5, 6, 7, 4, 1, 4, 7, 3, 9, 2, 1, 5, 8, 6, 9, 3, 4, 5, 6, 8, 2, 1, 7, 1, 2, 7, 4, 3, 9, 6, 5, 8, 8, 5, 6, 2, 1, 7, 9, 3, 4],
hard,[0, 0, 0, 2, 4, 7, 3, 8, 0, 6, 0, 0, 0, 3, 8, 1, 5, 0, 0, 3, 8, 0, 0, 0, 0, 0, 4, 0, 7, 0, 6, 0, 9, 0, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 7, 0, 0, 0, 4, 0, 2, 0, 1, 0, 5, 0, 0, 0, 0, 0, 9, 6, 0, 0, 6, 4, 3, 9, 0, 0, 0, 8, 0, 9, 3, 5, 2, 6, 0, 0, 0],[1, 5, 9, 2, 4, 7, 3, 8, 6, 6, 4, 7, 9, 3, 8, 1, 5, 2, 2, 3, 8, 1, 6, 5, 7, 9, 4, 4, 7, 2, 6, 1, 9, 8, 3, 5, 9, 1, 6, 8, 5, 3, 2, 4, 7, 3, 8, 5, 4, 7, 2, 6, 1, 9, 5, 2, 1, 7, 8, 4, 9, 6, 3, 7, 6, 4, 3, 9, 1, 5, 2, 8, 8, 9, 3, 5, 2, 6, 4, 7, 1],
easy,[0, 0, 0, 0, 1, 0, 9, 7, 0, 0, 8, 5, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 6, 4, 0, 5, 8, 9, 2, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 2, 7, 6, 0, 4, 9, 0, 0, 0, 0, 0, 0, 0, 1, 6, 1, 9, 0, 6, 3, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 4, 3, 0, 5, 0, 0, 0, 0],[3, 6, 4, 5, 1, 8, 9, 7, 2, 7, 8, 5, 9, 2, 3, 4, 6, 1, 2, 1, 9, 7, 6, 4, 3, 5, 8, 9, 2, 6, 4, 8, 1, 7, 3, 5, 5, 3, 1, 2, 7, 6, 8, 4, 9, 4, 7, 8, 3, 9, 5, 2, 1, 6, 1, 9, 2, 6, 3, 7, 5, 8, 4, 8, 5, 7, 1, 4, 9, 6, 2, 3, 6, 4, 3, 8, 5, 2, 1, 9, 7],
easy,[0, 4, 1, 3, 0, 8, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 0, 1, 0, 7, 0, 0, 1, 2, 4, 0, 8, 0, 1, 0, 0, 0, 0, 5, 0, 6, 0, 8, 3, 0, 0, 0, 9, 4, 0, 5, 0, 4, 0, 0, 0, 0, 8, 0, 1, 0, 8, 4, 9, 0, 0, 6, 0, 7, 0, 5, 0, 0, 6, 0, 0, 0, 0, 0, 0, 1, 0, 7, 3, 9, 0],[2, 4, 1, 3, 5, 8, 6, 7, 9, 8, 5, 9, 7, 6, 4, 2, 3, 1, 3, 7, 6, 9, 1, 2, 4, 5, 8, 9, 1, 7, 8, 4, 3, 5, 2, 6, 6, 8, 3, 5, 2, 1, 9, 4, 7, 5, 2, 4, 6, 7, 9, 1, 8, 3, 1, 3, 8, 4, 9, 5, 7, 6, 2, 7, 9, 5, 2, 3, 6, 8, 1, 4, 4, 6, 2, 1, 8, 7, 3, 9, 5],
hard,[4, 0, 0, 0, 0, 2, 0, 0, 0, 7, 8, 0, 0, 5, 0, 0, 2, 4, 0, 0, 0, 0, 1, 0, 0, 6, 7, 0, 5, 4, 3, 0, 0, 8, 0, 0, 0, 2, 0, 8, 0, 5, 0, 4, 0, 0, 0, 9, 0, 0, 6, 2, 5, 0, 9, 1, 0, 0, 7, 0, 0, 0, 0, 2, 4, 0, 0, 3, 0, 0, 8, 5, 0, 0, 0, 2, 0, 0, 0, 0, 1],[4, 3, 1, 7, 6, 2, 5, 9, 8, 7, 8, 6, 9, 5, 3, 1, 2, 4, 5, 9, 2, 4, 1, 8, 3, 6, 7, 6, 5, 4, 3, 2, 7, 8, 1, 9, 1, 2, 3, 8, 9, 5, 7, 4, 6, 8, 7, 9, 1, 4, 6, 2, 5, 3, 9, 1, 8, 5, 7, 4, 6, 3, 2, 2, 4, 7, 6, 3, 1, 9, 8, 5, 3, 6, 5, 2, 8, 9, 4, 7, 1],
hard,[2, 3, 9, 5, 0, 0, 6, 0, 0, 5, 0, 7, 4, 3, 0, 0, 0, 0, 0, 4, 0, 0, 0, 9, 0, 7, 3, 0, 0, 0, 0, 2, 4, 0, 3, 0, 4, 1, 0, 0, 0, 0, 0, 9, 8, 0, 8, 0, 7, 9, 0, 0, 0, 0, 7, 2, 0, 6, 0, 0, 0, 5, 0, 0, 0, 0, 0, 7, 2, 3, 0, 1, 0, 0, 6, 0, 0, 5, 4, 2, 7],[2, 3, 9, 5, 1, 7, 6, 8, 4, 5, 6, 7, 4, 3, 8, 9, 1, 2, 1, 4, 8, 2, 6, 9, 5, 7, 3, 9, 7, 5, 8, 2, 4, 1, 3, 6, 4, 1, 2, 3, 5, 6, 7, 9, 8, 6, 8, 3, 7, 9, 1, 2, 4, 5, 7, 2, 1, 6, 4, 3, 8, 5, 9, 8, 5, 4, 9, 7, 2, 3, 6, 1, 3, 9, 6, 1, 8, 5, 4, 2, 7],
hard,[0, 0, 5, 2, 0, 3, 1, 0, 4, 6, 4, 0, 1, 0, 7, 0, 8, 9, 0, 1, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 4, 2, 0, 0, 0, 0, 0, 5, 7, 0, 0, 7, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 1, 0, 1, 9, 0, 7, 0, 6, 0, 2, 3, 2, 0, 8, 3, 0, 4, 7, 0, 0],[7, 8, 5, 2, 9, 3, 1, 6, 4, 6, 4, 3, 1, 5, 7, 2, 8, 9, 9, 1, 2, 4, 6, 8, 3, 7, 5, 5, 3, 1, 6, 7, 9, 8, 4, 2, 4, 2, 9, 8, 3, 1, 6, 5, 7, 8, 6, 7, 5, 4, 2, 9, 3, 1, 3, 7, 6, 9, 2, 5, 4, 1, 8, 1, 9, 4, 7, 8, 6, 5, 2, 3, 2, 5, 8, 3, 1, 4, 7, 9, 6],
hard,[2, 4, 0, 0, 3, 0, 6, 7, 0, 7, 0, 0, 8, 0, 0, 3, 5, 4, 0, 0, 8, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 4, 9, 0, 5, 0, 0, 0, 7, 0, 2, 0, 0, 0, 4, 0, 6, 5, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 7, 0, 0, 1, 2, 4, 0, 0, 6, 0, 0, 3, 0, 8, 7, 0, 5, 0, 0, 9, 1],[2, 4, 9, 1, 3, 5, 6, 7, 8, 7, 6, 1, 8, 2, 9, 3, 5, 4, 3, 5, 8, 6, 4, 7, 1, 2, 9, 8, 7, 2, 3, 6, 4, 9, 1, 5, 5, 9, 3, 7, 1, 2, 8, 4, 6, 4, 1, 6, 5, 9, 8, 2, 3, 7, 9, 3, 5, 4, 8, 1, 7, 6, 2, 1, 2, 4, 9, 7, 6, 5, 8, 3, 6, 8, 7, 2, 5, 3, 4, 9, 1],
medium,[1, 0, 9, 0, 4, 0, 0, 6, 0, 0, 8, 4, 0, 7, 0, 0, 2, 0, 2, 6, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 9, 5, 0, 8, 5, 9, 0, 8, 0, 4, 0, 1, 7, 8, 0, 1, 6, 5, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 5, 6, 0, 1, 0, 0, 8, 0, 9, 7, 0, 0, 4, 0, 0, 6, 0, 2, 0, 1],[1, 5, 9, 2, 4, 8, 7, 6, 3, 3, 8, 4, 9, 7, 6, 1, 2, 5, 2, 6, 7, 3, 1, 5, 8, 4, 9, 4, 7, 6, 1, 2, 9, 5, 3, 8, 5, 9, 2, 8, 3, 4, 6, 1, 7, 8, 3, 1, 6, 5, 7, 4, 9, 2, 7, 2, 8, 4, 9, 1, 3, 5, 6, 6, 1, 3, 5, 8, 2, 9, 7, 4, 9, 4, 5, 7, 6, 3, 2, 8, 1],
medium,[9, 0, 7, 0, 0, 6, 0, 2, 5, 0, 0, 3, 5, 0, 0, 9, 0, 0, 0, 2, 0, 1, 0, 0, 7, 0, 4, 0, 3, 0, 6, 0, 0, 4, 7, 8, 0, 0, 8, 0, 0, 0, 5, 0, 0, 4, 5, 9, 0, 0, 8, 0, 1, 0, 6, 0, 1, 0, 0, 3, 0, 8, 0, 0, 0, 5, 0, 0, 7, 1, 0, 0, 2, 8, 0, 9, 0, 0, 3, 0, 7],[9, 1, 7, 3, 4, 6, 8, 2, 5, 8, 4, 3, 5, 7, 2, 9, 6, 1, 5, 2, 6, 1, 8, 9, 7, 3, 4, 1, 3, 2, 6, 9, 5, 4, 7, 8, 7, 6, 8, 2, 1, 4, 5, 9, 3, 4, 5, 9, 7, 3, 8, 6, 1, 2, 6, 7, 1, 4, 5, 3, 2, 8, 9, 3, 9, 5, 8, 2, 7, 1, 4, 6, 2, 8, 4, 9, 6, 1, 3, 5, 7],
medium,[0, 0, 1, 7, 0, 9, 0, 2, 0, 6, 0, 0, 0, 5, 0, 0, 0, 4, 5, 0, 0, 0, 4, 1, 3, 0, 6, 0, 0, 0, 0, 0, 0, 6, 3, 0, 9, 3, 0, 6, 2, 4, 0, 5, 7, 0, 5, 6, 0, 0, 0, 0, 0, 0, 8, 0, 7, 1, 3, 0, 0, 0, 9, 1, 0, 0, 0, 7, 0, 0, 0, 3, 0, 6, 0, 5, 0, 2, 7, 0, 0],[3, 4, 1, 7, 6, 9, 8, 2, 5, 6, 7, 2, 8, 5, 3, 9, 1, 4, 5, 8, 9, 2, 4, 1, 3, 7, 6, 7, 1, 4, 9, 8, 5, 6, 3, 2, 9, 3, 8, 6, 2, 4, 1, 5, 7, 2, 5, 6, 3, 1, 7, 4, 9, 8, 8, 2, 7, 1, 3, 6, 5, 4, 9, 1, 9, 5, 4, 7, 8, 2, 6, 3, 4, 6, 3, 5, 9, 2, 7, 8, 1],
hard,[0, 0, 0, 0, 3, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 3, 3, 0, 0, 0, 0, 5, 1, 7, 0, 1, 3, 0, 9, 0, 4, 7, 0, 0, 0, 8, 9, 2, 5, 1, 6, 3, 0, 0, 0, 6, 3, 0, 7, 0, 2, 1, 0, 6, 3, 1, 0, 0, 0, 0, 5, 8, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 2, 0, 0, 0, 0],[6, 7, 1, 8, 3, 2, 5, 4, 9, 4, 9, 5, 7, 1, 6, 2, 8, 3, 3, 2, 8, 4, 9, 5, 1, 7, 6, 1, 3, 2, 9, 6, 4, 7, 5, 8, 7, 8, 9, 2, 5, 1, 6, 3, 4, 5, 4, 6, 3, 8, 7, 9, 2, 1, 2, 6, 3, 1, 7, 8, 4, 9, 5, 8, 1, 7, 5, 4, 9, 3, 6, 2, 9, 5, 4, 6, 2, 3, 8, 1, 7],
hard,[0, 8, 0, 0, 6, 1, 3, 0, 0, 0, 1, 3, 0, 0, 9, 0, 4, 6, 0, 9, 5, 0, 0, 3, 2, 0, 1, 1, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 5, 3, 0, 2, 6, 0, 0, 9, 1, 0, 5, 6, 0, 9, 0, 0, 4, 7, 0, 0, 0, 1, 3, 4, 0, 0, 5, 0],[2, 8, 4, 5, 6, 1, 3, 9, 7, 7, 1, 3, 2, 8, 9, 5, 4, 6, 6, 9, 5, 4, 7, 3, 2, 8, 1, 1, 5, 6, 7, 2, 4, 8, 3, 9, 8, 2, 9, 1, 3, 5, 7, 6, 4, 4, 3, 7, 8, 9, 6, 1, 2, 5, 3, 4, 2, 6, 5, 7, 9, 1, 8, 5, 6, 8, 9, 1, 2, 4, 7, 3, 9, 7, 1, 3, 4, 8, 6, 5, 2],
easy,[6, 0, 0, 0, 4, 0, 8, 0, 0, 4, 0, 0, 0, 3, 2, 0, 1, 0, 2, 0, 0, 7, 0, 0, 0, 9, 4, 7, 0, 4, 0, 0, 6, 0, 0, 0, 0, 9, 2, 1, 0, 8, 5, 4, 0, 0, 0, 0, 3, 0, 0, 1, 0, 7, 5, 8, 0, 0, 0, 7, 0, 0, 9, 0, 4, 0, 6, 8, 0, 0, 0, 1, 0, 0, 3, 0, 5, 0, 0, 0, 8],[6, 3, 1, 9, 4, 5, 8, 7, 2, 4, 7, 9, 8, 3, 2, 6, 1, 5, 2, 5, 8, 7, 6, 1, 3, 9, 4, 7, 1, 4, 5, 2, 6, 9, 8, 3, 3, 9, 2, 1, 7, 8, 5, 4, 6, 8, 6, 5, 3, 9, 4, 1, 2, 7, 5, 8, 6, 2, 1, 7, 4, 3, 9, 9, 4, 7, 6, 8, 3, 2, 5, 1, 1, 2, 3, 4, 5, 9, 7, 6, 8],
easy,[2, 9, 0, 0, 7, 0, 4, 5, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 8, 7, 9, 0, 0, 0, 2, 6, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 9, 4, 8, 3, 7, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3, 0, 1, 2, 0, 0, 0, 8, 6, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 9, 7, 6, 0, 2, 0, 0, 8, 5],[2, 9, 1, 8, 7, 6, 4, 5, 3, 6, 4, 5, 2, 3, 1, 8, 9, 7, 3, 8, 7, 9, 4, 5, 1, 2, 6, 4, 3, 2, 6, 9, 7, 5, 1, 8, 5, 1, 9, 4, 8, 3, 7, 6, 2, 7, 6, 8, 5, 1, 2, 9, 3, 4, 1, 2, 4, 3, 5, 8, 6, 7, 9, 8, 5, 3, 7, 6, 9, 2, 4, 1, 9, 7, 6, 1, 2, 4, 3, 8, 5],
medium,[7, 0, 3, 0, 9, 5, 0, 1, 0, 0, 0, 0, 3, 1, 0, 8, 0, 0, 9, 0, 2, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 7, 2, 9, 4, 0, 8, 0, 9, 0, 0, 0, 6, 0, 7, 0, 4, 7, 9, 6, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 7, 0, 8, 0, 0, 1, 0, 5, 8, 0, 0, 0, 0, 9, 0, 7, 3, 0, 2, 0, 1],[7, 8, 3, 2, 9, 5, 4, 1, 6, 4, 6, 5, 3, 1, 7, 8, 2, 9, 9, 1, 2, 4, 8, 6, 5, 7, 3, 1, 3, 6, 8, 7, 2, 9, 4, 5, 8, 2, 9, 5, 4, 1, 6, 3, 7, 5, 4, 7, 9, 6, 3, 1, 8, 2, 3, 5, 4, 1, 2, 9, 7, 6, 8, 2, 7, 1, 6, 5, 8, 3, 9, 4, 6, 9, 8, 7, 3, 4, 2, 5, 1],
easy,[0, 4, 0, 9, 5, 0, 0, 0, 3, 2, 0, 8, 7, 0, 4, 0, 0, 0, 6, 0, 0, 0, 1, 0, 0, 4, 0, 9, 0, 0, 0, 8, 0, 2, 0, 1, 5, 7, 0, 6, 0, 1, 0, 9, 8, 3, 0, 1, 0, 7, 0, 0, 0, 4, 0, 1, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 8, 0, 7, 1, 0, 6, 8, 0, 0, 0, 9, 6, 0, 3, 0],[1, 4, 7, 9, 5, 2, 6, 8, 3, 2, 3, 8, 7, 6, 4, 9, 1, 5, 6, 5, 9, 3, 1, 8, 7, 4, 2, 9, 6, 4, 5, 8, 3, 2, 7, 1, 5, 7, 2, 6, 4, 1, 3, 9, 8, 3, 8, 1, 2, 7, 9, 5, 6, 4, 7, 1, 6, 4, 3, 5, 8, 2, 9, 4, 9, 3, 8, 2, 7, 1, 5, 6, 8, 2, 5, 1, 9, 6, 4, 3, 7],
easy,[0, 5, 0, 0, 0, 4, 0, 7, 1, 1, 2, 0, 0, 6, 9, 0, 8, 0, 0, 7, 0, 5, 0, 0, 4, 2, 0, 4, 9, 5, 0, 8, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 8, 5, 4, 0, 8, 9, 0, 0, 5, 0, 4, 0, 0, 4, 0, 8, 9, 0, 0, 1, 3, 7, 1, 0, 2, 0, 0, 0, 9, 0],[6, 5, 8, 3, 2, 4, 9, 7, 1, 1, 2, 4, 7, 6, 9, 3, 8, 5, 9, 7, 3, 5, 1, 8, 4, 2, 6, 4, 9, 5, 6, 8, 1, 2, 3, 7, 8, 3, 7, 4, 5, 2, 1, 6, 9, 2, 6, 1, 9, 3, 7, 8, 5, 4, 3, 8, 9, 1, 7, 5, 6, 4, 2, 5, 4, 2, 8, 9, 6, 7, 1, 3, 7, 1, 6, 2, 4, 3, 5, 9, 8],
easy,[0, 7, 0, 0, 0, 5, 0, 6, 4, 1, 0, 3, 0, 7, 0, 0, 0, 8, 0, 0, 0, 6, 8, 0, 7, 0, 0, 3, 0, 0, 2, 1, 0, 6, 9, 0, 0, 0, 0, 4, 9, 7, 0, 0, 0, 0, 1, 9, 0, 6, 3, 0, 0, 7, 0, 0, 4, 0, 5, 6, 0, 0, 0, 7, 0, 0, 0, 4, 0, 2, 0, 6, 5, 9, 0, 7, 0, 0, 0, 4, 0],[9, 7, 8, 3, 2, 5, 1, 6, 4, 1, 6, 3, 9, 7, 4, 5, 2, 8, 4, 5, 2, 6, 8, 1, 7, 3, 9, 3, 4, 7, 2, 1, 8, 6, 9, 5, 6, 8, 5, 4, 9, 7, 3, 1, 2, 2, 1, 9, 5, 6, 3, 4, 8, 7, 8, 2, 4, 1, 5, 6, 9, 7, 3, 7, 3, 1, 8, 4, 9, 2, 5, 6, 5, 9, 6, 7, 3, 2, 8, 4, 1],
easy,[7, 3, 1, 0, 0, 8, 0, 9, 6, 0, 0, 9, 7, 0, 1, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 2, 8, 5, 1, 0, 0, 0, 5, 0, 3, 0, 0, 0, 2, 5, 6, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 7, 8, 0, 0, 2, 0, 6, 5, 0, 0, 6, 2, 0, 9, 0, 0, 1, 4, 8],[7, 3, 1, 4, 5, 8, 2, 9, 6, 5, 6, 9, 7, 2, 1, 3, 8, 4, 4, 8, 2, 3, 6, 9, 7, 1, 5, 3, 7, 4, 6, 9, 2, 8, 5, 1, 1, 9, 8, 5, 7, 3, 4, 6, 2, 2, 5, 6, 8, 1, 4, 9, 7, 3, 9, 4, 3, 1, 8, 5, 6, 2, 7, 8, 1, 7, 2, 4, 6, 5, 3, 9, 6, 2, 5, 9, 3, 7, 1, 4, 8],
hard,[0, 0, 0, 1, 0, 0, 5, 3, 9, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0, 0, 8, 0, 6, 0, 0, 4, 1, 7, 2, 0, 0, 5, 1, 0, 8, 4, 5, 0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 0, 3, 9, 0, 0, 2, 5, 3, 5, 0, 0, 7, 0, 1, 0, 0, 1, 0, 0, 0, 3, 0, 0, 5, 0, 8, 4, 2, 0, 0, 9, 0, 0, 0],[2, 6, 7, 1, 4, 8, 5, 3, 9, 4, 1, 5, 9, 2, 3, 8, 6, 7, 9, 3, 8, 7, 6, 5, 2, 4, 1, 7, 2, 3, 6, 5, 1, 9, 8, 4, 5, 9, 4, 2, 8, 7, 6, 1, 3, 6, 8, 1, 3, 9, 4, 7, 2, 5, 3, 5, 6, 4, 7, 2, 1, 9, 8, 1, 7, 9, 8, 3, 6, 4, 5, 2, 8, 4, 2, 5, 1, 9, 3, 7, 6],
easy,[0, 0, 0, 1, 0, 3, 7, 0, 2, 7, 9, 0, 0, 4, 0, 0, 0, 8, 0, 8, 0, 9, 7, 0, 6, 0, 0, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 8, 0, 5, 0, 9, 0, 0, 0, 0, 5, 6, 0, 0, 0, 0, 3, 0, 0, 3, 0, 2, 1, 0, 6, 0, 8, 0, 0, 0, 9, 0, 0, 7, 1, 5, 0, 7, 3, 0, 8, 0, 0, 0],[6, 5, 4, 1, 8, 3, 7, 9, 2, 7, 9, 1, 2, 4, 6, 5, 3, 8, 3, 8, 2, 9, 7, 5, 6, 1, 4, 4, 6, 9, 8, 3, 2, 1, 5, 7, 1, 3, 8, 4, 5, 7, 9, 2, 6, 2, 7, 5, 6, 1, 9, 4, 8, 3, 9, 4, 3, 7, 2, 1, 8, 6, 5, 8, 2, 6, 5, 9, 4, 3, 7, 1, 5, 1, 7, 3, 6, 8, 2, 4, 9],
hard,[0, 0, 0, 0, 4, 0, 0, 0, 0, 7, 0, 2, 0, 1, 0, 0, 3, 0, 4, 0, 1, 0, 9, 7, 8, 0, 6, 0, 0, 0, 1, 6, 0, 3, 5, 9, 0, 0, 5, 0, 0, 0, 4, 0, 0, 1, 3, 4, 0, 5, 9, 0, 0, 0, 2, 0, 9, 5, 8, 0, 6, 0, 3, 0, 7, 0, 0, 3, 0, 9, 0, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0],[3, 8, 6, 2, 4, 5, 1, 9, 7, 7, 9, 2, 6, 1, 8, 5, 3, 4, 4, 5, 1, 3, 9, 7, 8, 2, 6, 8, 2, 7, 1, 6, 4, 3, 5, 9, 9, 6, 5, 7, 2, 3, 4, 8, 1, 1, 3, 4, 8, 5, 9, 7, 6, 2, 2, 4, 9, 5, 8, 1, 6, 7, 3, 6, 7, 8, 4, 3, 2, 9, 1, 5, 5, 1, 3, 9, 7, 6, 2, 4, 8],
hard,[0, 0, 0, 3, 0, 9, 0, 0, 8, 0, 8, 0, 6, 2, 0, 0, 7, 1, 9, 7, 0, 0, 8, 0, 4, 0, 2, 6, 0, 0, 7, 0, 0, 0, 0, 5, 2, 0, 0, 0, 3, 0, 0, 0, 7, 7, 0, 0, 0, 0, 2, 0, 0, 9, 8, 0, 2, 0, 9, 0, 0, 1, 3, 1, 5, 0, 0, 6, 3, 0, 8, 0, 3, 0, 0, 5, 0, 8, 0, 0, 0],[4, 2, 1, 3, 7, 9, 6, 5, 8, 5, 8, 3, 6, 2, 4, 9, 7, 1, 9, 7, 6, 1, 8, 5, 4, 3, 2, 6, 9, 8, 7, 4, 1, 3, 2, 5, 2, 1, 5, 9, 3, 6, 8, 4, 7, 7, 3, 4, 8, 5, 2, 1, 6, 9, 8, 6, 2, 4, 9, 7, 5, 1, 3, 1, 5, 9, 2, 6, 3, 7, 8, 4, 3, 4, 7, 5, 1, 8, 2, 9, 6],
easy,[0, 0, 8, 0, 5, 0, 0, 7, 0, 0, 4, 5, 3, 0, 0, 0, 1, 2, 0, 0, 2, 8, 0, 9, 4, 0, 5, 8, 9, 7, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 6, 8, 1, 6, 0, 4, 1, 0, 7, 9, 0, 0, 7, 5, 0, 0, 0, 8, 1, 2, 0, 0, 8, 0, 0, 4, 0, 7, 0, 0],[1, 6, 8, 4, 5, 2, 3, 7, 9, 9, 4, 5, 3, 7, 6, 8, 1, 2, 3, 7, 2, 8, 1, 9, 4, 6, 5, 8, 9, 7, 2, 6, 1, 5, 4, 3, 4, 1, 6, 5, 8, 3, 2, 9, 7, 5, 2, 3, 7, 9, 4, 6, 8, 1, 6, 3, 4, 1, 2, 7, 9, 5, 8, 7, 5, 9, 6, 3, 8, 1, 2, 4, 2, 8, 1, 9, 4, 5, 7, 3, 6],
medium,[0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 9, 0, 5, 0, 0, 0, 9, 8, 0, 7, 0, 4, 2, 0, 0, 0, 0, 6, 1, 0, 7, 0, 0, 9, 6, 3, 0, 4, 5, 2, 0, 0, 7, 0, 2, 8, 0, 0, 0, 0, 7, 3, 0, 1, 0, 8, 9, 0, 0, 0, 6, 0, 7, 0, 0, 1, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0],[2, 4, 7, 6, 5, 3, 8, 9, 1, 3, 8, 1, 4, 2, 9, 7, 5, 6, 6, 5, 9, 8, 1, 7, 3, 4, 2, 5, 2, 8, 9, 6, 1, 4, 7, 3, 1, 9, 6, 3, 7, 4, 5, 2, 8, 4, 7, 3, 2, 8, 5, 6, 1, 9, 7, 3, 2, 1, 4, 8, 9, 6, 5, 9, 6, 5, 7, 3, 2, 1, 8, 4, 8, 1, 4, 5, 9, 6, 2, 3, 7],
medium,[0, 0, 9, 0, 3, 0, 8, 5, 0, 0, 0, 0, 8, 6, 1, 2, 0, 0, 2, 0, 0, 5, 4, 0, 0, 7, 0, 9, 2, 0, 0, 0, 6, 7, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 1, 0, 0, 0, 3, 9, 0, 8, 0, 0, 1, 3, 0, 0, 5, 0, 0, 5, 6, 8, 4, 0, 0, 0, 0, 3, 4, 0, 2, 0, 9, 0, 0],[4, 1, 9, 2, 3, 7, 8, 5, 6, 5, 7, 3, 8, 6, 1, 2, 9, 4, 2, 6, 8, 5, 4, 9, 1, 7, 3, 9, 2, 1, 3, 5, 6, 7, 4, 8, 3, 5, 7, 4, 9, 8, 6, 1, 2, 8, 4, 6, 1, 7, 2, 5, 3, 9, 7, 8, 2, 9, 1, 3, 4, 6, 5, 1, 9, 5, 6, 8, 4, 3, 2, 7, 6, 3, 4, 7, 2, 5, 9, 8, 1],
medium,[0, 0, 0, 7, 0, 5, 6, 4, 1, 5, 1, 0, 3, 0, 2, 0, 7, 0, 4, 0, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 3, 0, 0, 2, 4, 0, 8, 1, 0, 0, 7, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 9, 0, 6, 0, 2, 0, 5, 0, 7, 0, 8, 4, 8, 6, 4, 1, 0, 3, 0, 0, 0],[2, 3, 9, 7, 8, 5, 6, 4, 1, 5, 1, 6, 3, 4, 2, 8, 7, 9, 4, 8, 7, 6, 1, 9, 5, 3, 2, 1, 4, 8, 9, 7, 6, 2, 5, 3, 6, 5, 2, 4, 3, 8, 1, 9, 7, 7, 9, 3, 2, 5, 1, 4, 6, 8, 3, 7, 5, 8, 2, 4, 9, 1, 6, 9, 2, 1, 5, 6, 7, 3, 8, 4, 8, 6, 4, 1, 9, 3, 7, 2, 5],
medium,[0, 0, 0, 1, 0, 0, 4, 9, 0, 5, 0, 0, 9, 0, 0, 2, 7, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 6, 1, 0, 2, 9, 7, 0, 4, 0, 7, 9, 4, 0, 5, 6, 8, 0, 4, 0, 8, 6, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 0, 3, 5, 0, 0, 6, 0, 0, 1, 0, 4, 7, 0, 0, 1, 0, 0, 0],[7, 2, 3, 1, 5, 8, 4, 9, 6, 5, 1, 4, 9, 6, 3, 2, 7, 8, 9, 8, 6, 7, 4, 2, 3, 1, 5, 3, 6, 1, 8, 2, 9, 7, 5, 4, 2, 7, 9, 4, 1, 5, 6, 8, 3, 4, 5, 8, 6, 3, 7, 1, 2, 9, 1, 9, 2, 3, 8, 4, 5, 6, 7, 8, 3, 5, 2, 7, 6, 9, 4, 1, 6, 4, 7, 5, 9, 1, 8, 3, 2],
hard,[1, 0, 6, 0, 2, 8, 5, 0, 0, 0, 5, 0, 0, 9, 0, 0, 4, 0, 2, 0, 3, 5, 0, 0, 8, 9, 1, 8, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 9, 0, 4, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 9, 9, 3, 2, 0, 0, 4, 6, 0, 8, 0, 6, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 6, 0, 9, 0, 7],[1, 9, 6, 4, 2, 8, 5, 7, 3, 7, 5, 8, 3, 9, 1, 2, 4, 6, 2, 4, 3, 5, 7, 6, 8, 9, 1, 8, 2, 4, 9, 3, 7, 1, 6, 5, 3, 1, 9, 6, 4, 5, 7, 8, 2, 6, 7, 5, 1, 8, 2, 4, 3, 9, 9, 3, 2, 7, 5, 4, 6, 1, 8, 5, 6, 7, 8, 1, 9, 3, 2, 4, 4, 8, 1, 2, 6, 3, 9, 5, 7],
hard,[0, 0, 9, 4, 0, 5, 0, 0, 7, 0, 0, 5, 3, 0, 2, 8, 9, 0, 3, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 3, 0, 8, 0, 6, 0, 0, 7, 0, 9, 0, 0, 3, 0, 2, 0, 8, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 2, 0, 3, 2, 9, 0, 6, 4, 0, 0, 8, 0, 0, 2, 0, 4, 1, 0, 0],[2, 6, 9, 4, 8, 5, 3, 1, 7, 7, 4, 5, 3, 1, 2, 8, 9, 6, 3, 8, 1, 6, 9, 7, 2, 4, 5, 4, 9, 7, 5, 2, 3, 6, 8, 1, 6, 1, 8, 7, 4, 9, 5, 2, 3, 5, 2, 3, 8, 6, 1, 9, 7, 4, 9, 5, 4, 1, 3, 8, 7, 6, 2, 1, 3, 2, 9, 7, 6, 4, 5, 8, 8, 7, 6, 2, 5, 4, 1, 3, 9],
hard,[3, 8, 0, 0, 0, 0, 0, 6, 0, 0, 7, 6, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 8, 2, 3, 0, 7, 0, 0, 0, 8, 9, 4, 5, 0, 2, 0, 4, 0, 7, 0, 5, 0, 9, 0, 9, 0, 7, 1, 2, 6, 0, 0, 0, 6, 0, 1, 9, 4, 0, 0, 0, 0, 0, 3, 0, 0, 7, 0, 6, 2, 0, 0, 9, 0, 0, 0, 0, 0, 1, 8],[3, 8, 2, 4, 1, 7, 9, 6, 5, 4, 7, 6, 3, 5, 9, 2, 8, 1, 5, 1, 9, 6, 8, 2, 3, 4, 7, 1, 6, 3, 8, 9, 4, 5, 7, 2, 2, 4, 8, 7, 3, 5, 1, 9, 6, 9, 5, 7, 1, 2, 6, 8, 3, 4, 6, 2, 1, 9, 4, 8, 7, 5, 3, 8, 3, 4, 5, 7, 1, 6, 2, 9, 7, 9, 5, 2, 6, 3, 4, 1, 8],
hard,[0, 0, 7, 4, 0, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 6, 0, 9, 5, 6, 0, 7, 0, 0, 2, 0, 5, 0, 8, 7, 0, 0, 0, 0, 3, 2, 0, 9, 0, 1, 0, 8, 4, 0, 0, 0, 0, 3, 6, 0, 5, 0, 2, 0, 0, 7, 0, 5, 8, 1, 0, 6, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 9, 6, 0, 0],[1, 6, 7, 4, 2, 3, 5, 9, 8, 4, 3, 2, 5, 9, 8, 1, 7, 6, 8, 9, 5, 6, 1, 7, 4, 3, 2, 9, 5, 1, 8, 7, 4, 2, 6, 3, 3, 2, 6, 9, 5, 1, 7, 8, 4, 7, 8, 4, 2, 3, 6, 9, 5, 1, 2, 4, 3, 7, 6, 5, 8, 1, 9, 6, 7, 9, 1, 8, 2, 3, 4, 5, 5, 1, 8, 3, 4, 9, 6, 2, 7],
hard,[0, 0, 2, 0, 7, 0, 0, 8, 3, 6, 0, 7, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 9, 2, 0, 7, 0, 5, 0, 0, 0, 4, 0, 7, 3, 8, 0, 0, 8, 0, 2, 0, 9, 0, 0, 7, 3, 9, 0, 6, 0, 0, 0, 1, 0, 7, 0, 4, 8, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 8, 0, 2, 8, 6, 0, 0, 1, 0, 3, 0, 0],[9, 4, 2, 6, 7, 5, 1, 8, 3, 6, 8, 7, 1, 3, 4, 2, 9, 5, 1, 5, 3, 8, 9, 2, 6, 7, 4, 5, 2, 6, 9, 4, 1, 7, 3, 8, 4, 1, 8, 3, 2, 7, 9, 5, 6, 7, 3, 9, 5, 6, 8, 4, 2, 1, 2, 7, 1, 4, 8, 3, 5, 6, 9, 3, 9, 4, 7, 5, 6, 8, 1, 2, 8, 6, 5, 2, 1, 9, 3, 4, 7],
medium,[0, 4, 0, 0, 9, 0, 2, 8, 0, 0, 0, 9, 0, 3, 8, 0, 0, 0, 5, 3, 0, 4, 0, 0, 0, 0, 9, 6, 0, 5, 0, 8, 1, 0, 4, 0, 0, 0, 0, 9, 5, 4, 0, 0, 0, 0, 1, 0, 2, 6, 0, 8, 0, 5, 4, 0, 0, 0, 0, 3, 0, 9, 8, 0, 0, 0, 8, 7, 0, 4, 0, 0, 0, 6, 1, 0, 4, 0, 0, 7, 0],[1, 4, 6, 7, 9, 5, 2, 8, 3, 2, 7, 9, 6, 3, 8, 5, 1, 4, 5, 3, 8, 4, 1, 2, 7, 6, 9, 6, 2, 5, 3, 8, 1, 9, 4, 7, 7, 8, 3, 9, 5, 4, 1, 2, 6, 9, 1, 4, 2, 6, 7, 8, 3, 5, 4, 5, 7, 1, 2, 3, 6, 9, 8, 3, 9, 2, 8, 7, 6, 4, 5, 1, 8, 6, 1, 5, 4, 9, 3, 7, 2],
medium,[8, 0, 4, 7, 0, 0, 3, 1, 0, 0, 0, 0, 2, 3, 1, 0, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 7, 2, 0, 8, 4, 0, 0, 0, 5, 0, 0, 5, 7, 0, 1, 0, 8, 3, 0, 0, 4, 0, 0, 0, 5, 6, 0, 9, 4, 0, 0, 0, 0, 7, 0, 6, 0, 0, 0, 0, 1, 2, 8, 0, 0, 0, 0, 3, 2, 0, 0, 6, 1, 0, 8],[8, 2, 4, 7, 5, 9, 3, 1, 6, 7, 6, 9, 2, 3, 1, 4, 8, 5, 3, 1, 5, 6, 8, 4, 2, 9, 7, 2, 9, 8, 4, 6, 3, 7, 5, 1, 6, 5, 7, 9, 1, 2, 8, 3, 4, 1, 4, 3, 8, 7, 5, 6, 2, 9, 4, 8, 1, 3, 9, 7, 5, 6, 2, 5, 7, 6, 1, 2, 8, 9, 4, 3, 9, 3, 2, 5, 4, 6, 1, 7, 8],
hard,[1, 0, 8, 0, 0, 7, 3, 0, 0, 6, 0, 0, 9, 1, 0, 2, 0, 0, 0, 4, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 7, 2, 0, 3, 5, 0, 2, 0, 1, 0, 8, 6, 0, 6, 7, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 6, 0, 0, 1, 0, 0, 0, 6, 0, 4, 5, 0, 0, 2, 0, 0, 5, 7, 0, 0, 6, 0, 3],[1, 9, 8, 5, 2, 7, 3, 6, 4, 6, 7, 3, 9, 1, 4, 2, 5, 8, 5, 4, 2, 6, 8, 3, 1, 7, 9, 9, 8, 1, 4, 3, 6, 7, 2, 5, 3, 5, 4, 2, 7, 1, 9, 8, 6, 2, 6, 7, 8, 5, 9, 4, 3, 1, 4, 2, 9, 3, 6, 8, 5, 1, 7, 7, 3, 6, 1, 4, 5, 8, 9, 2, 8, 1, 5, 7, 9, 2, 6, 4, 3],
easy,[0, 5, 3, 0, 8, 0, 0, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 1, 0, 0, 1, 0, 4, 3, 5, 8, 0, 7, 0, 0, 0, 3, 5, 6, 2, 0, 3, 0, 0, 8, 0, 7, 0, 0, 4, 0, 8, 6, 9, 1, 0, 0, 0, 3, 0, 9, 2, 3, 7, 0, 8, 0, 0, 1, 0, 0, 0, 0, 8, 0, 0, 7, 0, 0, 0, 0, 9, 0, 3, 4, 0],[9, 5, 3, 2, 8, 1, 4, 7, 6, 8, 4, 7, 6, 5, 9, 2, 3, 1, 2, 6, 1, 7, 4, 3, 5, 8, 9, 7, 1, 9, 4, 3, 5, 6, 2, 8, 3, 2, 5, 8, 6, 7, 1, 9, 4, 4, 8, 6, 9, 1, 2, 7, 5, 3, 6, 9, 2, 3, 7, 4, 8, 1, 5, 1, 3, 4, 5, 2, 8, 9, 6, 7, 5, 7, 8, 1, 9, 6, 3, 4, 2],
easy,[0, 1, 0, 0, 0, 0, 9, 7, 8, 0, 0, 0, 0, 8, 3, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 3, 0, 9, 5, 8, 2, 0, 1, 0, 4, 0, 1, 3, 0, 4, 0, 8, 0, 2, 9, 0, 4, 0, 5, 0, 7, 3, 8, 1, 0, 8, 0, 0, 0, 0, 0, 9, 0, 2, 0, 0, 8, 4, 0, 0, 0, 0, 5, 9, 1, 0, 0, 0, 0, 6, 0],[3, 1, 5, 6, 2, 4, 9, 7, 8, 4, 2, 9, 7, 8, 3, 6, 1, 5, 8, 7, 6, 9, 1, 5, 4, 3, 2, 9, 5, 8, 2, 3, 1, 7, 4, 6, 1, 3, 7, 4, 6, 8, 5, 2, 9, 6, 4, 2, 5, 9, 7, 3, 8, 1, 7, 8, 4, 1, 5, 6, 2, 9, 3, 2, 6, 3, 8, 4, 9, 1, 5, 7, 5, 9, 1, 3, 7, 2, 8, 6, 4],
medium,[0, 5, 2, 0, 0, 1, 7, 0, 3, 8, 0, 0, 0, 4, 0, 9, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 4, 8, 3, 9, 2, 7, 5, 1, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 0, 0, 0, 9, 0, 0, 8, 0, 9, 0, 0, 0, 5, 6, 0, 1, 2, 0, 0, 4, 3, 0],[9, 5, 2, 6, 8, 1, 7, 4, 3, 8, 7, 6, 3, 4, 2, 9, 5, 1, 3, 1, 4, 5, 7, 9, 6, 8, 2, 1, 6, 9, 8, 3, 5, 2, 7, 4, 4, 8, 3, 9, 2, 7, 5, 1, 6, 7, 2, 5, 4, 1, 6, 3, 9, 8, 5, 3, 7, 1, 6, 4, 8, 2, 9, 2, 4, 8, 7, 9, 3, 1, 6, 5, 6, 9, 1, 2, 5, 8, 4, 3, 7],
medium,[6, 0, 0, 8, 1, 0, 0, 0, 3, 0, 8, 7, 0, 0, 5, 9, 0, 0, 0, 1, 0, 0, 0, 2, 7, 0, 0, 7, 0, 0, 0, 6, 9, 8, 0, 0, 0, 4, 6, 3, 0, 8, 1, 7, 0, 0, 0, 8, 4, 7, 0, 0, 0, 5, 0, 0, 4, 7, 0, 0, 0, 9, 0, 0, 0, 2, 5, 0, 0, 3, 8, 0, 3, 0, 0, 0, 8, 6, 0, 0, 7],[6, 2, 9, 8, 1, 7, 4, 5, 3, 4, 8, 7, 6, 3, 5, 9, 1, 2, 5, 1, 3, 9, 4, 2, 7, 6, 8, 7, 5, 1, 2, 6, 9, 8, 3, 4, 2, 4, 6, 3, 5, 8, 1, 7, 9, 9, 3, 8, 4, 7, 1, 6, 2, 5, 8, 6, 4, 7, 2, 3, 5, 9, 1, 1, 7, 2, 5, 9, 4, 3, 8, 6, 3, 9, 5, 1, 8, 6, 2, 4, 7],
easy,[0, 0, 0, 0, 0, 2, 0, 0, 3, 4, 0, 1, 0, 0, 0, 0, 8, 0, 3, 7, 2, 9, 0, 0, 4, 0, 1, 0, 0, 9, 3, 7, 0, 5, 0, 0, 7, 0, 5, 0, 1, 0, 2, 0, 9, 0, 0, 3, 0, 2, 9, 8, 0, 0, 2, 0, 7, 0, 0, 5, 1, 9, 4, 0, 3, 0, 0, 0, 0, 7, 0, 8, 1, 0, 0, 4, 0, 0, 0, 0, 0],[9, 5, 8, 1, 4, 2, 6, 7, 3, 4, 6, 1, 7, 5, 3, 9, 8, 2, 3, 7, 2, 9, 6, 8, 4, 5, 1, 8, 2, 9, 3, 7, 4, 5, 1, 6, 7, 4, 5, 8, 1, 6, 2, 3, 9, 6, 1, 3, 5, 2, 9, 8, 4, 7, 2, 8, 7, 6, 3, 5, 1, 9, 4, 5, 3, 4, 2, 9, 1, 7, 6, 8, 1, 9, 6, 4, 8, 7, 3, 2, 5],
easy,[0, 9, 0, 0, 6, 4, 0, 0, 0, 0, 0, 4, 3, 9, 5, 2, 0, 1, 0, 0, 6, 1, 0, 0, 0, 7, 9, 0, 0, 2, 9, 0, 3, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 3, 0, 8, 0, 1, 9, 0, 0, 5, 6, 0, 0, 0, 9, 7, 0, 0, 1, 0, 7, 5, 3, 8, 6, 0, 0, 0, 0, 0, 6, 2, 0, 0, 8, 0],[2, 9, 1, 7, 6, 4, 5, 3, 8, 8, 7, 4, 3, 9, 5, 2, 6, 1, 3, 5, 6, 1, 8, 2, 4, 7, 9, 7, 1, 2, 9, 4, 3, 8, 5, 6, 4, 8, 9, 2, 5, 6, 3, 1, 7, 6, 3, 5, 8, 7, 1, 9, 4, 2, 5, 6, 8, 4, 1, 9, 7, 2, 3, 1, 2, 7, 5, 3, 8, 6, 9, 4, 9, 4, 3, 6, 2, 7, 1, 8, 5],
hard,[0, 2, 7, 9, 0, 0, 0, 6, 0, 5, 0, 6, 0, 4, 0, 0, 0, 8, 8, 0, 0, 0, 2, 1, 7, 0, 0, 0, 0, 0, 8, 3, 0, 4, 2, 0, 9, 0, 4, 0, 0, 0, 1, 0, 7, 0, 6, 8, 0, 1, 7, 0, 0, 0, 0, 0, 2, 3, 9, 0, 0, 0, 1, 3, 0, 0, 0, 7, 0, 9, 0, 2, 0, 1, 0, 0, 0, 4, 8, 7, 0],[1, 2, 7, 9, 8, 5, 3, 6, 4, 5, 9, 6, 7, 4, 3, 2, 1, 8, 8, 4, 3, 6, 2, 1, 7, 9, 5, 7, 5, 1, 8, 3, 9, 4, 2, 6, 9, 3, 4, 5, 6, 2, 1, 8, 7, 2, 6, 8, 4, 1, 7, 5, 3, 9, 4, 7, 2, 3, 9, 8, 6, 5, 1, 3, 8, 5, 1, 7, 6, 9, 4, 2, 6, 1, 9, 2, 5, 4, 8, 7, 3],
hard,[8, 6, 0, 0, 0, 0, 7, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 8, 0, 0, 7, 4, 0, 0, 5, 3, 2, 0, 0, 8, 0, 7, 0, 0, 1, 9, 7, 0, 0, 6, 0, 8, 0, 0, 5, 3, 2, 0, 0, 9, 0, 8, 0, 0, 5, 8, 2, 0, 0, 4, 1, 0, 0, 1, 0, 0, 0, 0, 9, 0, 8, 0, 4, 0, 9, 0, 0, 0, 0, 5, 3],[8, 6, 3, 9, 2, 5, 7, 4, 1, 2, 4, 5, 1, 3, 7, 9, 6, 8, 9, 1, 7, 4, 8, 6, 5, 3, 2, 6, 5, 8, 2, 7, 3, 4, 1, 9, 7, 9, 1, 6, 4, 8, 3, 2, 5, 3, 2, 4, 5, 9, 1, 8, 7, 6, 5, 8, 2, 3, 6, 4, 1, 9, 7, 1, 3, 6, 7, 5, 9, 2, 8, 4, 4, 7, 9, 8, 1, 2, 6, 5, 3],
medium,[0, 7, 0, 8, 5, 0, 6, 1, 0, 1, 0, 0, 0, 9, 0, 4, 0, 8, 0, 5, 0, 6, 0, 3, 7, 0, 0, 8, 0, 3, 0, 0, 1, 0, 0, 4, 9, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 3, 0, 0, 2, 0, 6, 0, 0, 2, 1, 0, 8, 0, 4, 0, 7, 0, 4, 0, 3, 0, 0, 0, 2, 0, 8, 5, 0, 4, 7, 0, 9, 0],[2, 7, 9, 8, 5, 4, 6, 1, 3, 1, 3, 6, 7, 9, 2, 4, 5, 8, 4, 5, 8, 6, 1, 3, 7, 2, 9, 8, 6, 3, 5, 2, 1, 9, 7, 4, 9, 2, 7, 4, 8, 6, 1, 3, 5, 5, 4, 1, 3, 7, 9, 2, 8, 6, 3, 9, 2, 1, 6, 8, 5, 4, 7, 7, 1, 4, 9, 3, 5, 8, 6, 2, 6, 8, 5, 2, 4, 7, 3, 9, 1],
hard,[0, 5, 3, 9, 7, 1, 0, 0, 0, 0, 0, 6, 0, 0, 5, 0, 9, 3, 9, 0, 0, 0, 8, 6, 0, 0, 0, 0, 0, 7, 0, 5, 0, 8, 4, 9, 0, 0, 4, 0, 0, 0, 5, 0, 0, 2, 1, 5, 0, 4, 0, 7, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 7, 1, 4, 0, 7, 0, 0, 2, 0, 0, 0, 0, 0, 5, 9, 8, 3, 1, 0],[4, 5, 3, 9, 7, 1, 6, 8, 2, 7, 8, 6, 4, 2, 5, 1, 9, 3, 9, 2, 1, 3, 8, 6, 4, 7, 5, 3, 6, 7, 1, 5, 2, 8, 4, 9, 8, 9, 4, 6, 3, 7, 5, 2, 1, 2, 1, 5, 8, 4, 9, 7, 3, 6, 5, 3, 8, 2, 1, 4, 9, 6, 7, 1, 4, 9, 7, 6, 3, 2, 5, 8, 6, 7, 2, 5, 9, 8, 3, 1, 4],
medium,[3, 4, 0, 9, 0, 8, 0, 0, 6, 1, 0, 8, 7, 0, 4, 0, 0, 0, 0, 9, 0, 5, 3, 0, 0, 0, 0, 4, 2, 9, 0, 0, 0, 3, 0, 5, 0, 7, 0, 0, 0, 0, 0, 8, 0, 8, 0, 6, 0, 0, 0, 9, 2, 1, 0, 0, 0, 0, 5, 9, 0, 6, 0, 0, 0, 0, 6, 0, 7, 5, 0, 2, 7, 0, 0, 8, 0, 1, 0, 3, 9],[3, 4, 2, 9, 1, 8, 7, 5, 6, 1, 5, 8, 7, 6, 4, 2, 9, 3, 6, 9, 7, 5, 3, 2, 1, 4, 8, 4, 2, 9, 1, 8, 6, 3, 7, 5, 5, 7, 1, 2, 9, 3, 6, 8, 4, 8, 3, 6, 4, 7, 5, 9, 2, 1, 2, 1, 4, 3, 5, 9, 8, 6, 7, 9, 8, 3, 6, 4, 7, 5, 1, 2, 7, 6, 5, 8, 2, 1, 4, 3, 9],
medium,[0, 7, 6, 0, 0, 0, 0, 3, 4, 0, 3, 4, 0, 0, 2, 0, 1, 0, 0, 0, 9, 0, 3, 7, 0, 8, 0, 1, 0, 5, 0, 0, 0, 3, 9, 0, 9, 6, 0, 0, 0, 0, 0, 5, 7, 0, 2, 3, 0, 0, 0, 1, 0, 6, 0, 5, 0, 1, 6, 0, 8, 0, 0, 0, 8, 0, 5, 0, 0, 4, 7, 0, 4, 9, 0, 0, 0, 0, 5, 6, 0],[2, 7, 6, 8, 1, 5, 9, 3, 4, 8, 3, 4, 6, 9, 2, 7, 1, 5, 5, 1, 9, 4, 3, 7, 6, 8, 2, 1, 4, 5, 2, 7, 6, 3, 9, 8, 9, 6, 8, 3, 4, 1, 2, 5, 7, 7, 2, 3, 9, 5, 8, 1, 4, 6, 3, 5, 7, 1, 6, 4, 8, 2, 9, 6, 8, 1, 5, 2, 9, 4, 7, 3, 4, 9, 2, 7, 8, 3, 5, 6, 1],
easy,[0, 0, 2, 4, 0, 0, 5, 0, 8, 0, 0, 6, 7, 5, 0, 0, 0, 3, 0, 8, 5, 0, 0, 0, 7, 0, 9, 5, 0, 3, 0, 0, 0, 0, 2, 1, 0, 7, 1, 0, 0, 0, 9, 3, 0, 2, 9, 0, 0, 0, 0, 4, 0, 5, 1, 0, 9, 0, 0, 0, 3, 8, 0, 6, 0, 0, 0, 9, 2, 1, 0, 0, 8, 0, 7, 0, 0, 1, 6, 0, 0],[7, 1, 2, 4, 3, 9, 5, 6, 8, 9, 4, 6, 7, 5, 8, 2, 1, 3, 3, 8, 5, 1, 2, 6, 7, 4, 9, 5, 6, 3, 9, 7, 4, 8, 2, 1, 4, 7, 1, 2, 8, 5, 9, 3, 6, 2, 9, 8, 6, 1, 3, 4, 7, 5, 1, 2, 9, 5, 6, 7, 3, 8, 4, 6, 3, 4, 8, 9, 2, 1, 5, 7, 8, 5, 7, 3, 4, 1, 6, 9, 2],
easy,[3, 0, 1, 0, 7, 8, 0, 5, 4, 4, 2, 9, 6, 0, 0, 0, 0, 0, 0, 5, 8, 0, 0, 0, 0, 0, 0, 0, 8, 3, 5, 0, 0, 0, 9, 0, 0, 0, 0, 7, 3, 4, 0, 0, 0, 0, 7, 0, 0, 0, 2, 3, 6, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 6, 2, 4, 9, 5, 4, 0, 9, 2, 0, 7, 0, 1],[3, 6, 1, 2, 7, 8, 9, 5, 4, 4, 2, 9, 6, 1, 5, 8, 7, 3, 7, 5, 8, 3, 4, 9, 6, 1, 2, 2, 8, 3, 5, 6, 1, 4, 9, 7, 6, 9, 5, 7, 3, 4, 1, 2, 8, 1, 7, 4, 8, 9, 2, 3, 6, 5, 9, 1, 2, 4, 8, 7, 5, 3, 6, 8, 3, 7, 1, 5, 6, 2, 4, 9, 5, 4, 6, 9, 2, 3, 7, 8, 1],
medium,[0, 8, 4, 7, 0, 0, 6, 0, 2, 5, 0, 0, 8, 3, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 8, 5, 9, 0, 3, 0, 1, 0, 5, 0, 8, 0, 4, 0, 5, 9, 3, 7, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 9, 7, 0, 0, 8, 4, 0, 5, 0, 0, 1, 3, 6, 0],[9, 8, 4, 7, 1, 5, 6, 3, 2, 5, 2, 7, 8, 3, 6, 9, 4, 1, 6, 1, 3, 4, 2, 9, 7, 8, 5, 7, 4, 2, 1, 6, 8, 5, 9, 3, 3, 6, 1, 9, 5, 2, 8, 7, 4, 8, 5, 9, 3, 7, 4, 2, 1, 6, 2, 9, 8, 6, 4, 3, 1, 5, 7, 1, 3, 6, 5, 9, 7, 4, 2, 8, 4, 7, 5, 2, 8, 1, 3, 6, 9],
easy,[0, 0, 0, 5, 0, 9, 6, 0, 0, 0, 1, 0, 2, 0, 0, 0, 9, 0, 0, 0, 4, 0, 7, 8, 2, 0, 0, 0, 5, 7, 9, 4, 0, 0, 0, 2, 0, 3, 1, 0, 6, 0, 9, 5, 0, 4, 0, 0, 0, 5, 2, 7, 6, 0, 0, 0, 8, 4, 9, 0, 3, 0, 0, 0, 6, 0, 0, 0, 5, 0, 2, 0, 0, 0, 5, 3, 0, 1, 0, 0, 0],[3, 7, 2, 5, 1, 9, 6, 4, 8, 8, 1, 6, 2, 3, 4, 5, 9, 7, 5, 9, 4, 6, 7, 8, 2, 3, 1, 6, 5, 7, 9, 4, 3, 1, 8, 2, 2, 3, 1, 8, 6, 7, 9, 5, 4, 4, 8, 9, 1, 5, 2, 7, 6, 3, 7, 2, 8, 4, 9, 6, 3, 1, 5, 1, 6, 3, 7, 8, 5, 4, 2, 9, 9, 4, 5, 3, 2, 1, 8, 7, 6],
easy,[0, 8, 0, 7, 6, 0, 4, 5, 1, 0, 0, 5, 0, 3, 0, 0, 7, 2, 9, 0, 1, 0, 5, 4, 0, 0, 6, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 0, 0, 9, 7, 0, 3, 0, 4, 6, 9, 0, 0, 4, 0, 2, 0, 0, 8, 3, 4, 0, 2, 1, 0, 6, 0],[2, 8, 3, 7, 6, 9, 4, 5, 1, 4, 6, 5, 1, 3, 8, 9, 7, 2, 9, 7, 1, 2, 5, 4, 8, 3, 6, 7, 2, 8, 4, 1, 5, 6, 9, 3, 3, 5, 9, 6, 8, 2, 1, 4, 7, 1, 4, 6, 3, 9, 7, 5, 2, 8, 5, 1, 2, 9, 7, 6, 3, 8, 4, 6, 9, 7, 8, 4, 3, 2, 1, 5, 8, 3, 4, 5, 2, 1, 7, 6, 9],
hard,[0, 0, 0, 4, 0, 0, 3, 0, 5, 4, 0, 5, 0, 1, 0, 0, 0, 0, 8, 2, 0, 5, 0, 0, 4, 7, 0, 0, 4, 3, 6, 0, 1, 0, 0, 8, 6, 0, 8, 0, 0, 0, 9, 0, 4, 1, 0, 0, 7, 0, 4, 2, 3, 0, 0, 8, 2, 0, 0, 3, 0, 6, 7, 0, 0, 0, 0, 7, 0, 8, 0, 9, 7, 0, 1, 0, 0, 8, 0, 0, 0],[9, 1, 7, 4, 2, 6, 3, 8, 5, 4, 3, 5, 8, 1, 7, 6, 9, 2, 8, 2, 6, 5, 3, 9, 4, 7, 1, 2, 4, 3, 6, 9, 1, 7, 5, 8, 6, 7, 8, 3, 5, 2, 9, 1, 4, 1, 5, 9, 7, 8, 4, 2, 3, 6, 5, 8, 2, 9, 4, 3, 1, 6, 7, 3, 6, 4, 1, 7, 5, 8, 2, 9, 7, 9, 1, 2, 6, 8, 5, 4, 3],
medium,[0, 0, 6, 0, 3, 0, 0, 0, 2, 3, 4, 0, 0, 0, 6, 0, 0, 9, 1, 9, 7, 0, 0, 4, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 3, 6, 0, 6, 0, 3, 0, 1, 0, 2, 0, 7, 2, 0, 0, 4, 0, 0, 0, 5, 6, 0, 0, 4, 0, 0, 2, 9, 3, 4, 0, 0, 5, 0, 0, 0, 8, 1, 2, 0, 0, 0, 9, 0, 6, 0, 0],[5, 8, 6, 9, 3, 7, 1, 4, 2, 3, 4, 2, 8, 1, 6, 5, 7, 9, 1, 9, 7, 2, 5, 4, 3, 6, 8, 8, 1, 4, 7, 2, 5, 9, 3, 6, 9, 6, 5, 3, 8, 1, 4, 2, 7, 7, 2, 3, 6, 4, 9, 8, 1, 5, 6, 5, 1, 4, 7, 8, 2, 9, 3, 4, 3, 9, 5, 6, 2, 7, 8, 1, 2, 7, 8, 1, 9, 3, 6, 5, 4],
medium,[0, 5, 0, 3, 0, 0, 0, 0, 4, 0, 9, 6, 8, 0, 0, 3, 1, 0, 0, 0, 0, 0, 4, 0, 8, 6, 0, 0, 0, 0, 9, 8, 0, 1, 0, 2, 8, 6, 0, 0, 0, 0, 0, 5, 9, 7, 0, 9, 0, 2, 4, 0, 0, 0, 0, 8, 4, 0, 9, 0, 0, 0, 0, 0, 3, 1, 0, 0, 8, 5, 2, 0, 6, 0, 0, 0, 0, 1, 0, 4, 0],[1, 5, 8, 3, 6, 7, 2, 9, 4, 4, 9, 6, 8, 5, 2, 3, 1, 7, 3, 2, 7, 1, 4, 9, 8, 6, 5, 5, 4, 3, 9, 8, 6, 1, 7, 2, 8, 6, 2, 7, 1, 3, 4, 5, 9, 7, 1, 9, 5, 2, 4, 6, 8, 3, 2, 8, 4, 6, 9, 5, 7, 3, 1, 9, 3, 1, 4, 7, 8, 5, 2, 6, 6, 7, 5, 2, 3, 1, 9, 4, 8],
medium,[0, 3, 0, 0, 0, 8, 4, 7, 9, 6, 0, 0, 4, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 7, 0, 6, 3, 3, 9, 0, 8, 7, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 3, 0, 8, 4, 8, 7, 0, 5, 0, 0, 0, 0, 0, 9, 0, 6, 0, 0, 1, 0, 0, 2, 2, 4, 3, 7, 0, 0, 0, 5, 0],[5, 3, 2, 1, 6, 8, 4, 7, 9, 6, 1, 7, 4, 3, 9, 5, 2, 8, 4, 8, 9, 2, 5, 7, 1, 6, 3, 3, 9, 4, 8, 7, 2, 6, 1, 5, 1, 2, 8, 6, 4, 5, 9, 3, 7, 7, 6, 5, 9, 1, 3, 2, 8, 4, 8, 7, 1, 5, 2, 4, 3, 9, 6, 9, 5, 6, 3, 8, 1, 7, 4, 2, 2, 4, 3, 7, 9, 6, 8, 5, 1],
medium,[0, 0, 2, 0, 7, 0, 1, 3, 0, 3, 7, 0, 0, 0, 1, 9, 0, 0, 1, 4, 0, 0, 0, 0, 8, 0, 5, 2, 0, 9, 0, 1, 0, 0, 8, 7, 0, 0, 0, 3, 0, 2, 0, 0, 0, 4, 3, 0, 0, 8, 0, 2, 0, 6, 7, 0, 4, 0, 0, 0, 0, 9, 3, 0, 0, 1, 9, 0, 0, 0, 5, 8, 0, 8, 3, 0, 5, 0, 4, 0, 0],[5, 9, 2, 8, 7, 6, 1, 3, 4, 3, 7, 8, 5, 4, 1, 9, 6, 2, 1, 4, 6, 2, 9, 3, 8, 7, 5, 2, 6, 9, 4, 1, 5, 3, 8, 7, 8, 1, 7, 3, 6, 2, 5, 4, 9, 4, 3, 5, 7, 8, 9, 2, 1, 6, 7, 5, 4, 1, 2, 8, 6, 9, 3, 6, 2, 1, 9, 3, 4, 7, 5, 8, 9, 8, 3, 6, 5, 7, 4, 2, 1],
medium,[3, 0, 8, 7, 0, 0, 1, 2, 0, 0, 0, 2, 3, 6, 0, 0, 4, 0, 4, 7, 0, 1, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 7, 0, 8, 4, 0, 0, 1, 0, 0, 0, 9, 0, 0, 2, 4, 0, 9, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 1, 0, 6, 7, 0, 5, 0, 0, 7, 2, 3, 0, 0, 0, 1, 4, 0, 0, 3, 8, 0, 2],[3, 6, 8, 7, 4, 9, 1, 2, 5, 1, 9, 2, 3, 6, 5, 7, 4, 8, 4, 7, 5, 1, 2, 8, 6, 9, 3, 6, 3, 9, 5, 1, 7, 2, 8, 4, 5, 8, 1, 2, 3, 4, 9, 7, 6, 2, 4, 7, 9, 8, 6, 5, 3, 1, 9, 2, 3, 8, 5, 1, 4, 6, 7, 8, 5, 6, 4, 7, 2, 3, 1, 9, 7, 1, 4, 6, 9, 3, 8, 5, 2],
medium,[0, 0, 0, 0, 3, 0, 0, 9, 2, 3, 1, 0, 0, 0, 9, 0, 0, 0, 0, 7, 9, 0, 0, 6, 8, 0, 3, 1, 0, 0, 3, 0, 5, 6, 7, 0, 8, 9, 0, 0, 0, 0, 0, 2, 5, 0, 6, 5, 8, 0, 1, 0, 0, 9, 9, 0, 7, 4, 0, 0, 3, 5, 0, 0, 0, 0, 5, 0, 0, 0, 6, 4, 5, 4, 0, 0, 1, 0, 0, 0, 0],[6, 5, 8, 1, 3, 4, 7, 9, 2, 3, 1, 2, 7, 8, 9, 5, 4, 6, 4, 7, 9, 2, 5, 6, 8, 1, 3, 1, 2, 4, 3, 9, 5, 6, 7, 8, 8, 9, 3, 6, 4, 7, 1, 2, 5, 7, 6, 5, 8, 2, 1, 4, 3, 9, 9, 8, 7, 4, 6, 2, 3, 5, 1, 2, 3, 1, 5, 7, 8, 9, 6, 4, 5, 4, 6, 9, 1, 3, 2, 8, 7],
hard,[8, 3, 0, 0, 0, 9, 0, 0, 1, 1, 6, 0, 0, 0, 0, 0, 8, 7, 0, 2, 0, 0, 1, 0, 3, 4, 0, 2, 9, 0, 0, 3, 0, 0, 0, 0, 0, 7, 6, 5, 0, 8, 1, 9, 0, 0, 0, 0, 0, 9, 0, 0, 2, 6, 0, 1, 2, 0, 4, 0, 0, 7, 0, 6, 5, 0, 0, 0, 0, 0, 3, 2, 7, 0, 0, 3, 0, 0, 0, 1, 9],[8, 3, 5, 4, 7, 9, 2, 6, 1, 1, 6, 4, 2, 5, 3, 9, 8, 7, 9, 2, 7, 8, 1, 6, 3, 4, 5, 2, 9, 1, 6, 3, 7, 8, 5, 4, 4, 7, 6, 5, 2, 8, 1, 9, 3, 5, 8, 3, 1, 9, 4, 7, 2, 6, 3, 1, 2, 9, 4, 5, 6, 7, 8, 6, 5, 9, 7, 8, 1, 4, 3, 2, 7, 4, 8, 3, 6, 2, 5, 1, 9],
easy,[9, 8, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 7, 3, 0, 0, 0, 0, 0, 0, 8, 0, 2, 5, 0, 0, 0, 3, 8, 6, 9, 4, 0, 0, 0, 5, 0, 1, 0, 0, 0, 8, 4, 7, 2, 6, 0, 0, 0, 5, 4, 0, 5, 0, 0, 0, 0, 0, 0, 6, 1, 0, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 8, 9],[9, 8, 2, 1, 7, 3, 5, 4, 6, 1, 5, 6, 8, 2, 4, 9, 7, 3, 7, 3, 4, 9, 5, 6, 8, 1, 2, 5, 2, 1, 7, 3, 8, 6, 9, 4, 3, 6, 9, 5, 4, 1, 7, 2, 8, 8, 4, 7, 2, 6, 9, 1, 3, 5, 4, 9, 5, 3, 8, 7, 2, 6, 1, 6, 1, 8, 4, 9, 2, 3, 5, 7, 2, 7, 3, 6, 1, 5, 4, 8, 9],
easy,[8, 7, 4, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0, 2, 6, 8, 4, 5, 0, 7, 1, 0, 0, 5, 6, 1, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 5, 8, 4, 0, 0, 6, 5, 0, 4, 3, 7, 1, 9, 0, 0, 0, 0, 0, 9, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 6, 5, 3],[8, 7, 4, 1, 2, 9, 3, 6, 5, 5, 9, 1, 7, 6, 3, 2, 8, 4, 3, 2, 6, 8, 4, 5, 9, 7, 1, 4, 8, 5, 6, 1, 2, 7, 3, 9, 1, 6, 9, 3, 7, 4, 5, 2, 8, 7, 3, 2, 9, 5, 8, 4, 1, 6, 6, 5, 8, 4, 3, 7, 1, 9, 2, 2, 1, 3, 5, 9, 6, 8, 4, 7, 9, 4, 7, 2, 8, 1, 6, 5, 3],
hard,[9, 1, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 4, 0, 0, 7, 0, 1, 0, 7, 6, 0, 4, 0, 8, 1, 0, 2, 4, 0, 1, 0, 2, 0, 3, 0, 7, 2, 0, 9, 7, 0, 6, 0, 4, 8, 0, 5, 0, 2, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 5, 1],[9, 1, 6, 3, 4, 2, 7, 8, 5, 8, 7, 3, 5, 9, 1, 4, 2, 6, 5, 2, 4, 6, 8, 7, 9, 1, 3, 7, 6, 5, 4, 3, 8, 1, 9, 2, 4, 8, 1, 9, 2, 5, 3, 6, 7, 2, 3, 9, 7, 1, 6, 5, 4, 8, 1, 5, 7, 2, 6, 9, 8, 3, 4, 6, 4, 8, 1, 5, 3, 2, 7, 9, 3, 9, 2, 8, 7, 4, 6, 5, 1],
medium,[9, 6, 5, 2, 0, 0, 0, 0, 0, 0, 7, 0, 6, 0, 0, 9, 0, 1, 0, 0, 2, 0, 7, 9, 6, 0, 3, 0, 8, 9, 5, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 3, 8, 4, 0, 4, 0, 8, 3, 9, 0, 7, 0, 0, 5, 0, 6, 0, 0, 8, 0, 9, 0, 0, 0, 0, 0, 0, 2, 5, 3, 8],[9, 6, 5, 2, 3, 1, 4, 8, 7, 8, 7, 3, 6, 5, 4, 9, 2, 1, 1, 4, 2, 8, 7, 9, 6, 5, 3, 3, 8, 9, 5, 4, 6, 1, 7, 2, 2, 5, 4, 1, 8, 7, 3, 6, 9, 6, 1, 7, 9, 2, 3, 8, 4, 5, 4, 2, 8, 3, 9, 5, 7, 1, 6, 5, 3, 6, 7, 1, 8, 2, 9, 4, 7, 9, 1, 4, 6, 2, 5, 3, 8],
easy,[7, 9, 5, 0, 0, 8, 2, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 8, 0, 7, 0, 0, 0, 2, 8, 9, 0, 5, 0, 0, 0, 3, 0, 7, 0, 9, 0, 0, 0, 8, 0, 5, 3, 4, 0, 0, 0, 1, 0, 9, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 8, 1, 0, 0, 3, 4, 9],[7, 9, 5, 3, 1, 8, 2, 6, 4, 8, 4, 6, 9, 2, 7, 1, 3, 5, 3, 2, 1, 4, 6, 5, 8, 9, 7, 6, 1, 7, 2, 8, 9, 4, 5, 3, 4, 5, 3, 6, 7, 1, 9, 8, 2, 9, 8, 2, 5, 3, 4, 7, 1, 6, 1, 6, 9, 7, 4, 3, 5, 2, 8, 5, 3, 4, 8, 9, 2, 6, 7, 1, 2, 7, 8, 1, 5, 6, 3, 4, 9],
hard,[4, 3, 0, 8, 9, 0, 1, 7, 0, 6, 0, 0, 0, 0, 4, 0, 9, 0, 0, 7, 0, 0, 3, 0, 4, 0, 6, 0, 9, 2, 0, 0, 8, 0, 0, 0, 0, 5, 4, 0, 0, 0, 8, 6, 0, 0, 0, 0, 7, 0, 0, 2, 4, 0, 5, 0, 3, 0, 8, 0, 0, 2, 0, 0, 8, 0, 1, 0, 0, 0, 0, 5, 0, 1, 6, 0, 5, 3, 0, 8, 4],[4, 3, 5, 8, 9, 6, 1, 7, 2, 6, 2, 1, 5, 7, 4, 3, 9, 8, 8, 7, 9, 2, 3, 1, 4, 5, 6, 7, 9, 2, 4, 6, 8, 5, 1, 3, 1, 5, 4, 3, 2, 9, 8, 6, 7, 3, 6, 8, 7, 1, 5, 2, 4, 9, 5, 4, 3, 6, 8, 7, 9, 2, 1, 9, 8, 7, 1, 4, 2, 6, 3, 5, 2, 1, 6, 9, 5, 3, 7, 8, 4],
hard,[0, 0, 2, 1, 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 6, 7, 5, 0, 8, 0, 0, 6, 3, 9, 1, 0, 0, 4, 6, 0, 5, 0, 0, 3, 0, 0, 3, 7, 0, 2, 6, 0, 0, 6, 0, 0, 8, 0, 9, 1, 0, 0, 4, 8, 5, 3, 0, 0, 9, 0, 2, 1, 7, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0],[7, 6, 2, 1, 9, 3, 8, 4, 5, 3, 9, 1, 4, 5, 8, 2, 6, 7, 5, 4, 8, 2, 7, 6, 3, 9, 1, 9, 2, 4, 6, 1, 5, 7, 8, 3, 8, 1, 3, 7, 4, 2, 6, 5, 9, 6, 5, 7, 8, 3, 9, 1, 2, 4, 4, 8, 5, 3, 6, 7, 9, 1, 2, 1, 7, 6, 9, 2, 4, 5, 3, 8, 2, 3, 9, 5, 8, 1, 4, 7, 6],
hard,[4, 5, 0, 0, 1, 0, 3, 0, 6, 0, 0, 0, 0, 3, 8, 0, 1, 0, 1, 0, 0, 0, 0, 4, 9, 0, 2, 3, 6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 9, 3, 0, 7, 4, 0, 0, 0, 0, 0, 0, 0, 9, 0, 2, 3, 6, 0, 3, 2, 0, 0, 0, 0, 5, 0, 9, 0, 7, 4, 0, 0, 0, 0, 2, 0, 1, 0, 5, 0, 0, 9, 7],[4, 5, 7, 9, 1, 2, 3, 8, 6, 9, 2, 6, 5, 3, 8, 7, 1, 4, 1, 3, 8, 6, 7, 4, 9, 5, 2, 3, 6, 2, 4, 8, 5, 1, 7, 9, 5, 1, 9, 3, 2, 7, 4, 6, 8, 7, 8, 4, 1, 6, 9, 5, 2, 3, 6, 7, 3, 2, 9, 1, 8, 4, 5, 8, 9, 5, 7, 4, 6, 2, 3, 1, 2, 4, 1, 8, 5, 3, 6, 9, 7],
hard,[0, 0, 8, 5, 0, 0, 0, 1, 6, 0, 4, 9, 0, 0, 0, 0, 7, 0, 0, 0, 6, 3, 4, 0, 0, 0, 5, 8, 1, 7, 4, 6, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 8, 9, 1, 4, 2, 2, 0, 0, 0, 7, 4, 9, 0, 0, 0, 8, 0, 0, 0, 0, 6, 5, 0, 9, 6, 0, 0, 0, 3, 7, 0, 0],[3, 2, 8, 5, 9, 7, 4, 1, 6, 5, 4, 9, 2, 1, 6, 3, 7, 8, 1, 7, 6, 3, 4, 8, 2, 9, 5, 8, 1, 7, 4, 6, 2, 5, 3, 9, 4, 9, 2, 1, 3, 5, 8, 6, 7, 6, 5, 3, 7, 8, 9, 1, 4, 2, 2, 3, 5, 6, 7, 4, 9, 8, 1, 7, 8, 4, 9, 2, 1, 6, 5, 3, 9, 6, 1, 8, 5, 3, 7, 2, 4],
medium,[0, 0, 0, 0, 9, 0, 4, 0, 2, 6, 0, 9, 2, 0, 4, 0, 7, 0, 2, 3, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 7, 3, 0, 0, 2, 0, 9, 7, 6, 0, 4, 0, 0, 1, 6, 0, 0, 3, 0, 0, 0, 9, 0, 0, 0, 0, 0, 5, 1, 8, 0, 6, 0, 8, 0, 1, 3, 0, 4, 3, 0, 1, 0, 5, 0, 0, 0, 0],[1, 7, 8, 3, 9, 5, 4, 6, 2, 6, 5, 9, 2, 1, 4, 8, 7, 3, 2, 3, 4, 7, 6, 8, 9, 5, 1, 4, 9, 5, 1, 8, 2, 7, 3, 6, 8, 2, 3, 9, 7, 6, 1, 4, 5, 7, 1, 6, 5, 4, 3, 2, 8, 9, 9, 4, 2, 6, 3, 7, 5, 1, 8, 5, 6, 7, 8, 2, 1, 3, 9, 4, 3, 8, 1, 4, 5, 9, 6, 2, 7],
medium,[7, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 9, 0, 3, 6, 4, 0, 0, 6, 3, 0, 0, 4, 0, 2, 0, 1, 8, 0, 0, 2, 0, 0, 7, 0, 0, 0, 7, 5, 9, 1, 8, 0, 0, 0, 9, 0, 0, 4, 0, 0, 3, 2, 0, 3, 0, 4, 0, 0, 5, 1, 0, 0, 7, 6, 2, 0, 5, 0, 0, 0, 0, 0, 1, 8, 0, 0, 0, 0, 6],[7, 4, 9, 6, 8, 2, 3, 5, 1, 5, 1, 2, 9, 7, 3, 6, 4, 8, 8, 6, 3, 1, 5, 4, 7, 2, 9, 1, 8, 4, 3, 2, 6, 9, 7, 5, 3, 2, 7, 5, 9, 1, 8, 6, 4, 6, 9, 5, 7, 4, 8, 1, 3, 2, 2, 3, 8, 4, 6, 9, 5, 1, 7, 9, 7, 6, 2, 1, 5, 4, 8, 3, 4, 5, 1, 8, 3, 7, 2, 9, 6],
medium,[0, 0, 0, 0, 5, 2, 3, 4, 0, 4, 5, 0, 3, 0, 0, 0, 0, 8, 8, 0, 3, 4, 0, 0, 0, 9, 7, 0, 0, 7, 6, 0, 8, 0, 0, 0, 6, 0, 0, 1, 0, 9, 0, 0, 2, 0, 0, 0, 7, 0, 5, 6, 0, 0, 2, 6, 0, 0, 0, 3, 4, 0, 5, 3, 0, 0, 0, 0, 1, 0, 8, 9, 0, 9, 1, 2, 8, 0, 0, 0, 0],[7, 1, 9, 8, 5, 2, 3, 4, 6, 4, 5, 6, 3, 9, 7, 1, 2, 8, 8, 2, 3, 4, 1, 6, 5, 9, 7, 1, 3, 7, 6, 2, 8, 9, 5, 4, 6, 4, 5, 1, 3, 9, 8, 7, 2, 9, 8, 2, 7, 4, 5, 6, 3, 1, 2, 6, 8, 9, 7, 3, 4, 1, 5, 3, 7, 4, 5, 6, 1, 2, 8, 9, 5, 9, 1, 2, 8, 4, 7, 6, 3],
easy,[0, 3, 4, 0, 6, 0, 0, 7, 9, 0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 9, 0, 0, 4, 8, 2, 0, 5, 0, 5, 2, 0, 3, 1, 0, 0, 0, 0, 0, 1, 2, 0, 4, 5, 0, 0, 0, 0, 0, 8, 7, 0, 1, 2, 0, 3, 0, 7, 5, 8, 0, 0, 4, 0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 2, 0, 7, 8, 0],[5, 3, 4, 1, 6, 2, 8, 7, 9, 2, 1, 8, 9, 5, 7, 3, 6, 4, 7, 9, 6, 3, 4, 8, 2, 1, 5, 8, 5, 2, 6, 3, 1, 4, 9, 7, 6, 7, 1, 2, 9, 4, 5, 3, 8, 9, 4, 3, 8, 7, 5, 1, 2, 6, 3, 2, 7, 5, 8, 6, 9, 4, 1, 4, 8, 9, 7, 1, 3, 6, 5, 2, 1, 6, 5, 4, 2, 9, 7, 8, 3],
hard,[0, 0, 3, 8, 0, 0, 4, 0, 0, 0, 7, 9, 6, 0, 2, 0, 5, 3, 8, 0, 0, 0, 3, 9, 1, 0, 0, 0, 0, 0, 9, 7, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 6, 1, 0, 0, 0, 0, 0, 7, 4, 2, 0, 0, 0, 8, 6, 5, 0, 1, 0, 3, 2, 7, 0, 0, 0, 2, 0, 0, 6, 9, 0, 0],[5, 2, 3, 8, 1, 7, 4, 9, 6, 1, 7, 9, 6, 4, 2, 8, 5, 3, 8, 6, 4, 5, 3, 9, 1, 2, 7, 2, 8, 6, 9, 7, 4, 5, 3, 1, 7, 9, 1, 3, 5, 8, 6, 4, 2, 3, 4, 5, 2, 6, 1, 7, 8, 9, 9, 1, 7, 4, 2, 5, 3, 6, 8, 6, 5, 8, 1, 9, 3, 2, 7, 4, 4, 3, 2, 7, 8, 6, 9, 1, 5],
medium,[0, 0, 5, 0, 0, 0, 0, 2, 0, 9, 2, 6, 4, 3, 5, 0, 0, 0, 0, 4, 3, 8, 0, 7, 0, 0, 5, 0, 0, 0, 2, 0, 0, 6, 0, 0, 7, 1, 0, 5, 0, 6, 0, 9, 3, 0, 0, 2, 0, 0, 3, 0, 0, 0, 2, 0, 0, 7, 0, 8, 4, 5, 0, 0, 0, 0, 9, 5, 1, 8, 3, 2, 0, 8, 0, 0, 0, 0, 7, 0, 0],[8, 7, 5, 6, 1, 9, 3, 2, 4, 9, 2, 6, 4, 3, 5, 1, 8, 7, 1, 4, 3, 8, 2, 7, 9, 6, 5, 3, 5, 8, 2, 9, 4, 6, 7, 1, 7, 1, 4, 5, 8, 6, 2, 9, 3, 6, 9, 2, 1, 7, 3, 5, 4, 8, 2, 3, 1, 7, 6, 8, 4, 5, 9, 4, 6, 7, 9, 5, 1, 8, 3, 2, 5, 8, 9, 3, 4, 2, 7, 1, 6],
easy,[0, 0, 0, 9, 4, 7, 6, 0, 8, 0, 0, 0, 0, 5, 0, 0, 1, 0, 0, 7, 0, 0, 8, 3, 0, 4, 0, 2, 0, 0, 0, 0, 0, 8, 3, 7, 0, 0, 8, 3, 2, 9, 5, 0, 0, 5, 3, 6, 0, 0, 0, 0, 0, 9, 0, 6, 0, 5, 3, 0, 0, 9, 0, 0, 5, 0, 0, 9, 0, 0, 0, 0, 4, 0, 2, 7, 1, 6, 0, 0, 0],[3, 2, 1, 9, 4, 7, 6, 5, 8, 9, 8, 4, 6, 5, 2, 7, 1, 3, 6, 7, 5, 1, 8, 3, 9, 4, 2, 2, 1, 9, 4, 6, 5, 8, 3, 7, 7, 4, 8, 3, 2, 9, 5, 6, 1, 5, 3, 6, 8, 7, 1, 4, 2, 9, 1, 6, 7, 5, 3, 8, 2, 9, 4, 8, 5, 3, 2, 9, 4, 1, 7, 6, 4, 9, 2, 7, 1, 6, 3, 8, 5],
hard,[0, 3, 6, 8, 0, 0, 0, 0, 1, 0, 0, 0, 9, 4, 1, 0, 0, 0, 2, 9, 0, 5, 0, 3, 0, 4, 0, 0, 6, 5, 0, 0, 4, 0, 8, 0, 9, 0, 0, 0, 3, 0, 0, 0, 6, 0, 1, 0, 6, 0, 0, 5, 3, 0, 0, 7, 0, 3, 0, 2, 0, 9, 8, 0, 0, 0, 1, 9, 8, 0, 0, 0, 5, 0, 0, 0, 0, 6, 2, 1, 0],[4, 3, 6, 8, 2, 7, 9, 5, 1, 8, 5, 7, 9, 4, 1, 3, 6, 2, 2, 9, 1, 5, 6, 3, 8, 4, 7, 3, 6, 5, 2, 1, 4, 7, 8, 9, 9, 4, 8, 7, 3, 5, 1, 2, 6, 7, 1, 2, 6, 8, 9, 5, 3, 4, 1, 7, 4, 3, 5, 2, 6, 9, 8, 6, 2, 3, 1, 9, 8, 4, 7, 5, 5, 8, 9, 4, 7, 6, 2, 1, 3],
hard,[0, 1, 0, 0, 4, 0, 0, 7, 0, 6, 0, 4, 0, 2, 7, 3, 9, 0, 2, 7, 0, 1, 6, 0, 8, 0, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 0, 0, 2, 3, 0, 9, 4, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 0, 6, 0, 3, 1, 0, 4, 9, 0, 2, 7, 6, 5, 0, 1, 0, 3, 0, 4, 0, 0, 9, 0, 0, 6, 0],[3, 1, 8, 9, 4, 5, 6, 7, 2, 6, 5, 4, 8, 2, 7, 3, 9, 1, 2, 7, 9, 1, 6, 3, 8, 5, 4, 7, 3, 5, 4, 1, 6, 9, 2, 8, 8, 6, 2, 3, 7, 9, 4, 1, 5, 4, 9, 1, 5, 8, 2, 7, 3, 6, 5, 8, 6, 7, 3, 1, 2, 4, 9, 9, 2, 7, 6, 5, 4, 1, 8, 3, 1, 4, 3, 2, 9, 8, 5, 6, 7],
hard,[1, 0, 9, 0, 0, 7, 5, 0, 4, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0, 7, 8, 3, 0, 9, 0, 6, 3, 0, 0, 0, 0, 0, 1, 5, 0, 0, 1, 6, 5, 0, 3, 4, 2, 0, 0, 9, 4, 0, 0, 0, 0, 0, 3, 4, 0, 1, 0, 5, 6, 3, 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 8, 0, 5, 3, 0, 0, 2, 0, 1],[1, 8, 9, 6, 2, 7, 5, 3, 4, 6, 5, 3, 9, 4, 1, 7, 8, 2, 2, 4, 7, 8, 3, 5, 9, 1, 6, 3, 2, 8, 4, 6, 9, 1, 5, 7, 7, 1, 6, 5, 8, 3, 4, 2, 9, 5, 9, 4, 1, 7, 2, 8, 6, 3, 4, 7, 1, 2, 5, 6, 3, 9, 8, 9, 3, 2, 7, 1, 8, 6, 4, 5, 8, 6, 5, 3, 9, 4, 2, 7, 1],
easy,[4, 8, 0, 5, 1, 9, 0, 7, 0, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 7, 0, 8, 0, 0, 2, 0, 3, 5, 1, 9, 0, 3, 0, 4, 0, 8, 6, 6, 2, 0, 1, 0, 0, 4, 0, 7, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 7, 0, 9, 2, 3, 0, 6, 4],[4, 8, 6, 5, 1, 9, 3, 7, 2, 3, 1, 9, 2, 4, 7, 6, 5, 8, 2, 5, 7, 8, 3, 6, 9, 4, 1, 7, 4, 8, 6, 9, 2, 1, 3, 5, 1, 9, 5, 3, 7, 4, 2, 8, 6, 6, 2, 3, 1, 5, 8, 4, 9, 7, 5, 3, 4, 7, 6, 1, 8, 2, 9, 9, 6, 2, 4, 8, 5, 7, 1, 3, 8, 7, 1, 9, 2, 3, 5, 6, 4],
medium,[0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 0, 1, 0, 7, 9, 6, 0, 0, 0, 0, 7, 2, 0, 0, 9, 4, 5, 0, 0, 0, 6, 0, 0, 4, 3, 0, 3, 0, 5, 0, 2, 0, 8, 0, 1, 0, 6, 9, 0, 0, 8, 0, 0, 0, 9, 5, 3, 0, 0, 4, 2, 0, 0, 0, 0, 4, 5, 3, 0, 7, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0],[4, 9, 6, 8, 5, 3, 1, 2, 7, 5, 2, 1, 4, 7, 9, 6, 8, 3, 8, 3, 7, 2, 6, 1, 9, 4, 5, 7, 8, 2, 6, 1, 5, 4, 3, 9, 3, 4, 5, 9, 2, 7, 8, 6, 1, 1, 6, 9, 3, 4, 8, 5, 7, 2, 9, 5, 3, 7, 8, 4, 2, 1, 6, 2, 1, 4, 5, 3, 6, 7, 9, 8, 6, 7, 8, 1, 9, 2, 3, 5, 4],
easy,[1, 0, 0, 2, 0, 5, 0, 0, 0, 8, 0, 0, 7, 6, 0, 0, 0, 4, 0, 2, 0, 0, 0, 8, 0, 9, 0, 0, 0, 8, 0, 4, 2, 0, 5, 6, 2, 5, 0, 0, 1, 0, 0, 3, 9, 6, 1, 0, 8, 5, 0, 4, 0, 0, 0, 8, 0, 5, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, 4, 0, 0, 7, 0, 0, 0, 9, 0, 3, 0, 0, 5],[1, 4, 7, 2, 9, 5, 3, 6, 8, 8, 3, 9, 7, 6, 1, 5, 2, 4, 5, 2, 6, 4, 3, 8, 7, 9, 1, 9, 7, 8, 3, 4, 2, 1, 5, 6, 2, 5, 4, 6, 1, 7, 8, 3, 9, 6, 1, 3, 8, 5, 9, 4, 7, 2, 4, 8, 2, 5, 7, 6, 9, 1, 3, 3, 9, 5, 1, 2, 4, 6, 8, 7, 7, 6, 1, 9, 8, 3, 2, 4, 5],
hard,[4, 1, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 5, 0, 9, 0, 7, 0, 0, 0, 9, 1, 0, 2, 4, 0, 8, 0, 0, 7, 0, 0, 1, 0, 0, 4, 0, 3, 0, 7, 0, 8, 0, 1, 0, 2, 0, 0, 4, 0, 0, 8, 0, 0, 1, 0, 2, 8, 0, 3, 5, 0, 0, 0, 4, 0, 2, 0, 5, 6, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 3],[4, 1, 6, 3, 8, 7, 2, 9, 5, 3, 2, 8, 5, 4, 9, 1, 7, 6, 5, 7, 9, 1, 6, 2, 4, 3, 8, 8, 5, 7, 9, 2, 1, 3, 6, 4, 6, 3, 4, 7, 5, 8, 9, 1, 2, 2, 9, 1, 4, 3, 6, 8, 5, 7, 1, 6, 2, 8, 7, 3, 5, 4, 9, 7, 4, 3, 2, 9, 5, 6, 8, 1, 9, 8, 5, 6, 1, 4, 7, 2, 3],
easy,[0, 0, 0, 5, 9, 0, 0, 0, 7, 7, 0, 8, 0, 0, 2, 0, 5, 0, 3, 0, 0, 7, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 4, 9, 7, 1, 4, 0, 0, 0, 3, 0, 0, 0, 2, 6, 9, 2, 1, 0, 7, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 8, 0, 1, 0, 8, 0, 0, 7, 0, 4, 8, 0, 0, 0, 1, 3, 0, 0, 0],[1, 2, 4, 5, 9, 6, 3, 8, 7, 7, 6, 8, 3, 4, 2, 1, 5, 9, 3, 5, 9, 7, 8, 1, 4, 2, 6, 5, 8, 3, 6, 2, 4, 9, 7, 1, 4, 7, 1, 9, 3, 8, 5, 6, 2, 6, 9, 2, 1, 5, 7, 8, 4, 3, 9, 3, 6, 4, 7, 5, 2, 1, 8, 2, 1, 5, 8, 6, 9, 7, 3, 4, 8, 4, 7, 2, 1, 3, 6, 9, 5],
hard,[8, 0, 9, 5, 1, 2, 0, 0, 6, 0, 1, 0, 0, 0, 9, 0, 0, 5, 5, 2, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 5, 0, 0, 2, 0, 0, 8, 7, 0, 1, 6, 0, 0, 3, 0, 0, 6, 2, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 2, 6, 3, 1, 0, 0, 8, 0, 0, 0, 4, 0, 7, 0, 0, 2, 5, 6, 1, 0, 8],[8, 4, 9, 5, 1, 2, 3, 7, 6, 6, 1, 7, 3, 8, 9, 4, 2, 5, 5, 2, 3, 4, 6, 7, 9, 8, 1, 4, 7, 6, 9, 3, 5, 8, 1, 2, 2, 5, 8, 7, 4, 1, 6, 3, 9, 3, 9, 1, 6, 2, 8, 7, 5, 4, 9, 8, 5, 1, 7, 4, 2, 6, 3, 1, 6, 2, 8, 9, 3, 5, 4, 7, 7, 3, 4, 2, 5, 6, 1, 9, 8],
hard,[1, 0, 7, 8, 0, 5, 6, 0, 0, 5, 8, 0, 6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 2, 0, 0, 7, 0, 3, 0, 4, 0, 0, 0, 7, 0, 0, 0, 6, 2, 9, 3, 1, 0, 0, 0, 4, 0, 0, 0, 6, 0, 9, 0, 2, 0, 0, 9, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 7, 0, 6, 1, 0, 0, 4, 1, 0, 8, 9, 0, 5],[1, 2, 7, 8, 4, 5, 6, 3, 9, 5, 8, 3, 6, 7, 9, 2, 1, 4, 4, 6, 9, 3, 1, 2, 8, 5, 7, 9, 3, 2, 4, 8, 1, 5, 7, 6, 7, 5, 6, 2, 9, 3, 1, 4, 8, 8, 4, 1, 7, 5, 6, 3, 9, 2, 2, 1, 5, 9, 6, 4, 7, 8, 3, 3, 9, 8, 5, 2, 7, 4, 6, 1, 6, 7, 4, 1, 3, 8, 9, 2, 5],
easy,[0, 4, 0, 2, 0, 0, 3, 0, 0, 8, 5, 0, 0, 4, 9, 2, 7, 0, 2, 0, 3, 0, 7, 0, 0, 5, 0, 0, 0, 0, 9, 0, 0, 0, 4, 6, 9, 3, 0, 0, 0, 0, 0, 1, 2, 6, 2, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 0, 9, 0, 1, 0, 7, 0, 9, 2, 7, 1, 0, 0, 8, 3, 0, 0, 1, 0, 0, 8, 0, 9, 0],[7, 4, 9, 2, 5, 1, 3, 6, 8, 8, 5, 6, 3, 4, 9, 2, 7, 1, 2, 1, 3, 8, 7, 6, 9, 5, 4, 1, 8, 7, 9, 3, 2, 5, 4, 6, 9, 3, 5, 4, 6, 7, 8, 1, 2, 6, 2, 4, 1, 8, 5, 7, 3, 9, 4, 6, 8, 5, 9, 3, 1, 2, 7, 5, 9, 2, 7, 1, 4, 6, 8, 3, 3, 7, 1, 6, 2, 8, 4, 9, 5],
easy,[0, 0, 0, 9, 0, 3, 8, 7, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 9, 0, 4, 0, 0, 2, 0, 6, 1, 0, 0, 6, 0, 1, 7, 0, 4, 0, 0, 0, 8, 3, 0, 6, 7, 0, 0, 0, 5, 0, 8, 2, 0, 3, 0, 0, 8, 7, 0, 4, 0, 0, 6, 0, 9, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 2, 9, 6, 0, 8, 0, 0, 0],[5, 6, 1, 9, 4, 3, 8, 7, 2, 7, 8, 2, 1, 6, 5, 9, 3, 4, 9, 3, 4, 7, 8, 2, 5, 6, 1, 3, 9, 6, 5, 1, 7, 2, 4, 8, 2, 4, 8, 3, 9, 6, 7, 1, 5, 1, 5, 7, 8, 2, 4, 3, 9, 6, 8, 7, 5, 4, 3, 1, 6, 2, 9, 6, 1, 3, 2, 5, 9, 4, 8, 7, 4, 2, 9, 6, 7, 8, 1, 5, 3],
easy,[0, 0, 0, 0, 0, 8, 0, 0, 7, 0, 6, 7, 1, 0, 0, 0, 2, 9, 0, 9, 0, 5, 0, 0, 3, 0, 8, 6, 4, 2, 0, 1, 9, 0, 0, 0, 0, 7, 0, 0, 8, 0, 0, 3, 0, 0, 0, 0, 7, 5, 0, 2, 1, 6, 7, 0, 4, 0, 0, 2, 0, 9, 0, 3, 1, 0, 0, 0, 5, 7, 8, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0],[5, 2, 3, 9, 6, 8, 1, 4, 7, 8, 6, 7, 1, 4, 3, 5, 2, 9, 4, 9, 1, 5, 2, 7, 3, 6, 8, 6, 4, 2, 3, 1, 9, 8, 7, 5, 1, 7, 5, 2, 8, 6, 9, 3, 4, 9, 3, 8, 7, 5, 4, 2, 1, 6, 7, 5, 4, 8, 3, 2, 6, 9, 1, 3, 1, 6, 4, 9, 5, 7, 8, 2, 2, 8, 9, 6, 7, 1, 4, 5, 3],
hard,[8, 0, 6, 2, 9, 0, 0, 5, 7, 2, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0, 3, 6, 0, 3, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 4, 1, 7, 9, 5, 0, 0, 5, 0, 0, 3, 0, 0, 0, 0, 4, 0, 9, 3, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 3, 7, 5, 0, 0, 3, 6, 2, 0, 9],[8, 3, 6, 2, 9, 1, 4, 5, 7, 2, 7, 5, 6, 4, 3, 8, 9, 1, 9, 4, 1, 8, 5, 7, 3, 6, 2, 3, 1, 7, 5, 8, 4, 9, 2, 6, 6, 2, 4, 1, 7, 9, 5, 3, 8, 5, 8, 9, 3, 6, 2, 1, 7, 4, 1, 9, 3, 7, 2, 8, 6, 4, 5, 4, 6, 2, 9, 1, 5, 7, 8, 3, 7, 5, 8, 4, 3, 6, 2, 1, 9],
medium,[0, 0, 2, 0, 0, 5, 0, 0, 1, 0, 0, 0, 4, 3, 1, 0, 7, 0, 0, 6, 4, 0, 0, 7, 0, 0, 0, 9, 0, 3, 8, 0, 0, 6, 5, 7, 0, 0, 1, 0, 0, 0, 3, 0, 0, 5, 2, 7, 0, 0, 6, 1, 0, 4, 0, 0, 0, 1, 0, 0, 7, 3, 0, 0, 3, 0, 6, 5, 9, 0, 0, 0, 2, 0, 0, 7, 0, 0, 9, 0, 0],[3, 7, 2, 9, 6, 5, 8, 4, 1, 8, 5, 9, 4, 3, 1, 2, 7, 6, 1, 6, 4, 2, 8, 7, 5, 9, 3, 9, 4, 3, 8, 1, 2, 6, 5, 7, 6, 8, 1, 5, 7, 4, 3, 2, 9, 5, 2, 7, 3, 9, 6, 1, 8, 4, 4, 9, 6, 1, 2, 8, 7, 3, 5, 7, 3, 8, 6, 5, 9, 4, 1, 2, 2, 1, 5, 7, 4, 3, 9, 6, 8],
easy,[0, 2, 8, 0, 0, 9, 5, 0, 0, 9, 0, 0, 0, 0, 0, 2, 8, 0, 0, 5, 4, 0, 1, 0, 0, 3, 0, 0, 9, 0, 8, 0, 0, 3, 5, 0, 0, 3, 2, 5, 0, 1, 8, 4, 0, 0, 8, 5, 0, 0, 2, 0, 6, 0, 0, 7, 0, 0, 9, 0, 4, 2, 0, 0, 1, 9, 0, 0, 0, 0, 0, 8, 0, 0, 3, 7, 0, 0, 1, 9, 0],[3, 2, 8, 6, 4, 9, 5, 1, 7, 9, 6, 1, 3, 5, 7, 2, 8, 4, 7, 5, 4, 2, 1, 8, 9, 3, 6, 1, 9, 7, 8, 6, 4, 3, 5, 2, 6, 3, 2, 5, 7, 1, 8, 4, 9, 4, 8, 5, 9, 3, 2, 7, 6, 1, 8, 7, 6, 1, 9, 5, 4, 2, 3, 5, 1, 9, 4, 2, 3, 6, 7, 8, 2, 4, 3, 7, 8, 6, 1, 9, 5],
medium,[0, 1, 9, 0, 4, 0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 0, 2, 6, 8, 0, 0, 2, 3, 5, 0, 9, 0, 3, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 0, 5, 0, 3, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 7, 0, 4, 1, 9, 0, 0, 8, 5, 8, 0, 0, 0, 2, 0, 4, 0, 9, 0, 0, 0, 5, 0, 7, 3, 0],[2, 1, 9, 7, 4, 6, 5, 8, 3, 7, 3, 5, 8, 9, 1, 4, 2, 6, 8, 6, 4, 2, 3, 5, 1, 9, 7, 3, 5, 7, 9, 6, 4, 8, 1, 2, 1, 2, 6, 5, 8, 3, 9, 7, 4, 4, 9, 8, 1, 2, 7, 3, 6, 5, 6, 7, 3, 4, 1, 9, 2, 5, 8, 5, 8, 1, 3, 7, 2, 6, 4, 9, 9, 4, 2, 6, 5, 8, 7, 3, 1],
easy,[8, 0, 0, 0, 0, 5, 1, 0, 2, 0, 0, 0, 7, 0, 2, 6, 8, 0, 1, 2, 0, 6, 0, 0, 5, 0, 4, 0, 1, 0, 0, 7, 0, 9, 4, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 4, 6, 0, 3, 0, 0, 2, 0, 6, 0, 5, 0, 0, 3, 0, 1, 8, 0, 9, 1, 8, 0, 4, 0, 0, 0, 4, 0, 3, 1, 0, 0, 0, 0, 6],[8, 6, 9, 3, 4, 5, 1, 7, 2, 5, 3, 4, 7, 1, 2, 6, 8, 9, 1, 2, 7, 6, 8, 9, 5, 3, 4, 3, 1, 8, 2, 7, 6, 9, 4, 5, 7, 5, 2, 4, 9, 8, 3, 6, 1, 9, 4, 6, 5, 3, 1, 8, 2, 7, 6, 7, 5, 9, 2, 3, 4, 1, 8, 2, 9, 1, 8, 6, 4, 7, 5, 3, 4, 8, 3, 1, 5, 7, 2, 9, 6],
easy,[6, 0, 0, 4, 0, 1, 7, 0, 8, 0, 3, 0, 7, 0, 0, 6, 0, 4, 4, 7, 8, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 7, 0, 0, 0, 0, 0, 9, 0, 3, 0, 8, 0, 6, 0, 0, 0, 0, 0, 1, 0, 8, 0, 0, 0, 4, 0, 1, 0, 0, 2, 8, 3, 2, 0, 9, 0, 0, 3, 0, 7, 0, 7, 0, 3, 5, 0, 6, 0, 0, 9],[6, 2, 5, 4, 3, 1, 7, 9, 8, 9, 3, 1, 7, 8, 5, 6, 2, 4, 4, 7, 8, 9, 6, 2, 3, 1, 5, 8, 5, 2, 6, 7, 4, 9, 3, 1, 1, 9, 7, 3, 5, 8, 4, 6, 2, 3, 6, 4, 2, 1, 9, 8, 5, 7, 5, 4, 6, 1, 9, 7, 2, 8, 3, 2, 1, 9, 8, 4, 3, 5, 7, 6, 7, 8, 3, 5, 2, 6, 1, 4, 9],
hard,[6, 0, 2, 0, 0, 0, 1, 0, 8, 0, 0, 4, 6, 0, 8, 0, 7, 0, 0, 8, 7, 4, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 4, 7, 8, 0, 0, 0, 0, 8, 0, 5, 0, 0, 0, 0, 4, 9, 2, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 1, 8, 2, 0, 0, 1, 0, 9, 0, 2, 6, 0, 0, 9, 0, 6, 0, 0, 0, 3, 0, 4],[6, 9, 2, 7, 5, 3, 1, 4, 8, 1, 3, 4, 6, 2, 8, 9, 7, 5, 5, 8, 7, 4, 1, 9, 2, 6, 3, 2, 5, 3, 1, 9, 4, 7, 8, 6, 7, 6, 1, 8, 3, 5, 4, 9, 2, 8, 4, 9, 2, 7, 6, 5, 3, 1, 4, 7, 5, 3, 6, 1, 8, 2, 9, 3, 1, 8, 9, 4, 2, 6, 5, 7, 9, 2, 6, 5, 8, 7, 3, 1, 4],
hard,[5, 0, 0, 8, 0, 4, 7, 0, 1, 9, 0, 0, 3, 0, 0, 0, 2, 5, 8, 3, 0, 0, 5, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 1, 0, 0, 8, 9, 2, 6, 0, 0, 0, 7, 0, 0, 4, 1, 0, 4, 5, 0, 8, 0, 0, 7],[5, 2, 6, 8, 9, 4, 7, 3, 1, 9, 4, 7, 3, 6, 1, 8, 2, 5, 8, 3, 1, 7, 5, 2, 4, 9, 6, 4, 5, 3, 1, 8, 9, 6, 7, 2, 6, 1, 9, 2, 7, 3, 5, 4, 8, 7, 8, 2, 6, 4, 5, 9, 1, 3, 3, 7, 5, 4, 1, 6, 2, 8, 9, 2, 6, 8, 9, 3, 7, 1, 5, 4, 1, 9, 4, 5, 2, 8, 3, 6, 7],
easy,[0, 0, 1, 0, 0, 0, 0, 0, 9, 9, 0, 4, 6, 7, 8, 0, 1, 2, 0, 0, 0, 5, 0, 0, 4, 0, 0, 5, 0, 6, 7, 0, 3, 0, 0, 0, 4, 0, 2, 9, 0, 6, 7, 0, 8, 0, 0, 0, 1, 0, 4, 6, 0, 5, 0, 0, 9, 0, 0, 7, 0, 0, 0, 2, 6, 0, 8, 4, 9, 1, 0, 3, 3, 0, 0, 0, 0, 0, 9, 0, 0],[6, 7, 1, 4, 3, 2, 8, 5, 9, 9, 5, 4, 6, 7, 8, 3, 1, 2, 8, 2, 3, 5, 9, 1, 4, 6, 7, 5, 9, 6, 7, 8, 3, 2, 4, 1, 4, 1, 2, 9, 5, 6, 7, 3, 8, 7, 3, 8, 1, 2, 4, 6, 9, 5, 1, 8, 9, 3, 6, 7, 5, 2, 4, 2, 6, 5, 8, 4, 9, 1, 7, 3, 3, 4, 7, 2, 1, 5, 9, 8, 6],
easy,[6, 0, 1, 0, 8, 0, 0, 2, 0, 5, 8, 4, 0, 2, 7, 6, 0, 0, 3, 0, 0, 1, 9, 0, 0, 4, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 7, 0, 0, 3, 8, 0, 0, 6, 0, 0, 5, 9, 6, 0, 3, 8, 7, 0, 3, 0, 0, 4, 0, 9, 0, 2],[6, 9, 1, 5, 8, 4, 7, 2, 3, 5, 8, 4, 3, 2, 7, 6, 9, 1, 3, 2, 7, 1, 9, 6, 5, 4, 8, 7, 6, 8, 4, 1, 9, 2, 3, 5, 4, 1, 3, 6, 5, 2, 8, 7, 9, 9, 5, 2, 8, 7, 3, 1, 6, 4, 1, 7, 9, 2, 3, 8, 4, 5, 6, 2, 4, 5, 9, 6, 1, 3, 8, 7, 8, 3, 6, 7, 4, 5, 9, 1, 2],
easy,[4, 5, 1, 0, 8, 0, 0, 0, 0, 0, 9, 3, 6, 0, 0, 4, 0, 0, 0, 0, 7, 4, 0, 9, 0, 0, 3, 0, 4, 9, 8, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 9, 7, 0, 0, 0, 0, 5, 8, 3, 0, 3, 0, 0, 7, 0, 1, 9, 0, 0, 0, 0, 2, 0, 0, 3, 6, 8, 0, 0, 0, 0, 0, 2, 0, 3, 4, 7],[4, 5, 1, 3, 8, 2, 7, 9, 6, 2, 9, 3, 6, 5, 7, 4, 1, 8, 8, 6, 7, 4, 1, 9, 5, 2, 3, 1, 4, 9, 8, 3, 6, 2, 7, 5, 5, 3, 8, 2, 7, 4, 1, 6, 9, 7, 2, 6, 1, 9, 5, 8, 3, 4, 3, 8, 4, 7, 6, 1, 9, 5, 2, 9, 7, 2, 5, 4, 3, 6, 8, 1, 6, 1, 5, 9, 2, 8, 3, 4, 7],
medium,[8, 7, 0, 3, 0, 1, 0, 2, 4, 5, 0, 0, 0, 9, 0, 7, 0, 0, 0, 6, 0, 0, 0, 0, 1, 0, 9, 1, 0, 6, 0, 8, 3, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 7, 2, 0, 6, 0, 5, 9, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 7, 0, 3, 0, 0, 0, 1, 4, 3, 0, 9, 0, 7, 0, 5, 6],[8, 7, 9, 3, 6, 1, 5, 2, 4, 5, 4, 1, 2, 9, 8, 7, 6, 3, 2, 6, 3, 4, 7, 5, 1, 8, 9, 1, 9, 6, 5, 8, 3, 4, 7, 2, 7, 2, 5, 1, 4, 6, 9, 3, 8, 3, 8, 4, 7, 2, 9, 6, 1, 5, 9, 1, 8, 6, 5, 2, 3, 4, 7, 6, 5, 7, 8, 3, 4, 2, 9, 1, 4, 3, 2, 9, 1, 7, 8, 5, 6],
medium,[0, 0, 3, 7, 0, 6, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 2, 0, 5, 1, 0, 0, 4, 0, 9, 1, 0, 8, 0, 0, 6, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 7, 0, 2, 0, 0, 3, 0, 5, 1, 0, 4, 0, 0, 5, 7, 0, 8, 0, 5, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 0, 4, 1, 0, 0],[4, 9, 3, 7, 2, 6, 5, 1, 8, 6, 5, 1, 3, 4, 8, 9, 2, 7, 8, 2, 7, 5, 1, 9, 3, 4, 6, 9, 1, 4, 8, 7, 5, 6, 3, 2, 3, 8, 5, 1, 6, 2, 7, 9, 4, 7, 6, 2, 4, 9, 3, 8, 5, 1, 1, 4, 9, 6, 5, 7, 2, 8, 3, 5, 7, 8, 2, 3, 1, 4, 6, 9, 2, 3, 6, 9, 8, 4, 1, 7, 5],
hard,[8, 0, 7, 0, 0, 0, 1, 2, 4, 0, 0, 4, 8, 1, 7, 0, 6, 0, 5, 0, 1, 4, 0, 3, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 5, 0, 2, 4, 0, 9, 0, 4, 0, 1, 8, 6, 7, 0, 0, 2, 7, 5, 0, 0, 0, 6, 0, 1],[8, 3, 7, 6, 9, 5, 1, 2, 4, 9, 2, 4, 8, 1, 7, 3, 6, 5, 5, 6, 1, 4, 2, 3, 9, 7, 8, 4, 8, 3, 7, 5, 1, 2, 9, 6, 1, 5, 2, 3, 6, 9, 8, 4, 7, 7, 9, 6, 2, 4, 8, 5, 1, 3, 6, 1, 8, 5, 7, 2, 4, 3, 9, 3, 4, 9, 1, 8, 6, 7, 5, 2, 2, 7, 5, 9, 3, 4, 6, 8, 1],
easy,[0, 7, 4, 5, 9, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 6, 4, 3, 0, 0, 0, 8, 1, 5, 0, 0, 9, 2, 1, 0, 7, 4, 6, 0, 0, 6, 8, 9, 0, 0, 0, 3, 7, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 8, 1, 6, 7, 0],[6, 7, 4, 5, 9, 2, 3, 8, 1, 3, 8, 5, 4, 1, 6, 7, 9, 2, 2, 1, 9, 8, 7, 3, 5, 4, 6, 4, 3, 7, 6, 2, 8, 1, 5, 9, 5, 9, 2, 1, 3, 7, 4, 6, 8, 1, 6, 8, 9, 5, 4, 2, 3, 7, 8, 2, 6, 7, 4, 5, 9, 1, 3, 7, 5, 1, 3, 6, 9, 8, 2, 4, 9, 4, 3, 2, 8, 1, 6, 7, 5],
medium,[2, 0, 0, 6, 9, 0, 0, 0, 8, 0, 0, 3, 7, 2, 0, 1, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4, 6, 0, 5, 0, 0, 3, 9, 0, 0, 0, 7, 3, 8, 6, 5, 0, 0, 0, 5, 1, 0, 0, 4, 0, 2, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 4, 0, 5, 7, 9, 0, 0, 5, 0, 0, 0, 6, 8, 0, 0, 4],[2, 7, 5, 6, 9, 1, 4, 3, 8, 8, 4, 3, 7, 2, 5, 1, 6, 9, 1, 9, 6, 8, 4, 3, 7, 5, 2, 4, 6, 8, 5, 1, 2, 3, 9, 7, 9, 2, 7, 3, 8, 6, 5, 4, 1, 3, 5, 1, 9, 7, 4, 8, 2, 6, 7, 1, 2, 4, 3, 9, 6, 8, 5, 6, 8, 4, 2, 5, 7, 9, 1, 3, 5, 3, 9, 1, 6, 8, 2, 7, 4],
medium,[4, 5, 1, 7, 9, 0, 8, 6, 0, 9, 0, 7, 3, 0, 0, 5, 0, 4, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 9, 0, 6, 0, 9, 0, 1, 0, 4, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 3, 0, 0, 0, 0, 5, 0, 3, 0, 0, 7, 4, 0, 8, 0, 4, 2, 0, 5, 9, 3, 7, 1],[4, 5, 1, 7, 9, 2, 8, 6, 3, 9, 8, 7, 3, 1, 6, 5, 2, 4, 2, 3, 6, 5, 4, 8, 9, 1, 7, 7, 2, 4, 6, 8, 5, 1, 3, 9, 3, 6, 8, 9, 7, 1, 2, 4, 5, 1, 9, 5, 4, 2, 3, 7, 8, 6, 8, 7, 9, 1, 3, 4, 6, 5, 2, 5, 1, 3, 2, 6, 7, 4, 9, 8, 6, 4, 2, 8, 5, 9, 3, 7, 1],
medium,[0, 5, 0, 2, 0, 0, 0, 4, 8, 0, 8, 0, 7, 0, 5, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 4, 0, 8, 9, 0, 6, 9, 0, 0, 0, 2, 5, 0, 2, 4, 0, 8, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 5, 0, 2, 0, 9, 0, 6, 3, 0, 0, 0, 1, 0, 2, 0],[7, 5, 1, 2, 3, 6, 9, 4, 8, 9, 8, 4, 7, 1, 5, 6, 3, 2, 3, 2, 6, 4, 9, 8, 5, 7, 1, 5, 1, 3, 6, 2, 4, 7, 8, 9, 8, 6, 9, 1, 7, 3, 2, 5, 4, 2, 4, 7, 8, 5, 9, 3, 1, 6, 1, 9, 2, 3, 4, 7, 8, 6, 5, 4, 7, 8, 5, 6, 2, 1, 9, 3, 6, 3, 5, 9, 8, 1, 4, 2, 7],
medium,[6, 5, 0, 0, 7, 0, 0, 0, 2, 0, 0, 4, 5, 3, 0, 0, 6, 0, 2, 0, 0, 1, 0, 6, 7, 0, 0, 0, 0, 2, 0, 0, 0, 3, 4, 0, 0, 0, 0, 3, 2, 7, 0, 0, 0, 0, 9, 7, 0, 0, 0, 5, 0, 0, 0, 0, 1, 8, 0, 9, 0, 0, 3, 0, 7, 0, 0, 1, 5, 8, 0, 0, 9, 0, 0, 0, 4, 0, 0, 1, 5],[6, 5, 9, 4, 7, 8, 1, 3, 2, 7, 1, 4, 5, 3, 2, 9, 6, 8, 2, 3, 8, 1, 9, 6, 7, 5, 4, 8, 6, 2, 9, 5, 1, 3, 4, 7, 1, 4, 5, 3, 2, 7, 6, 8, 9, 3, 9, 7, 6, 8, 4, 5, 2, 1, 5, 2, 1, 8, 6, 9, 4, 7, 3, 4, 7, 3, 2, 1, 5, 8, 9, 6, 9, 8, 6, 7, 4, 3, 2, 1, 5],
medium,[0, 0, 8, 0, 9, 7, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 7, 0, 9, 0, 6, 0, 0, 5, 0, 4, 1, 0, 0, 0, 0, 0, 2, 0, 1, 4, 2, 5, 7, 0, 0, 0, 6, 8, 3, 6, 4, 0, 5, 0, 0, 0, 0, 0, 1, 6, 0, 7, 0, 0, 2, 0, 8, 0, 9, 0, 0, 8, 0, 0, 0, 0, 3, 0, 2, 1, 6, 0, 4, 0, 0],[5, 1, 8, 4, 9, 7, 3, 6, 2, 4, 2, 3, 8, 1, 6, 9, 7, 5, 9, 7, 6, 3, 2, 5, 8, 4, 1, 8, 3, 9, 6, 7, 2, 5, 1, 4, 2, 5, 7, 9, 4, 1, 6, 8, 3, 6, 4, 1, 5, 3, 8, 7, 2, 9, 1, 6, 4, 7, 5, 3, 2, 9, 8, 7, 9, 5, 2, 8, 4, 1, 3, 6, 3, 8, 2, 1, 6, 9, 4, 5, 7],
hard,[0, 0, 0, 6, 0, 0, 0, 4, 7, 0, 6, 0, 0, 2, 7, 0, 0, 0, 0, 0, 5, 4, 3, 0, 0, 9, 6, 0, 4, 8, 5, 1, 0, 7, 0, 0, 7, 5, 0, 0, 0, 0, 0, 1, 4, 0, 0, 3, 0, 4, 9, 8, 5, 0, 4, 3, 0, 0, 5, 2, 6, 0, 0, 0, 0, 0, 3, 6, 0, 0, 7, 0, 5, 9, 0, 0, 0, 1, 0, 0, 0],[3, 8, 2, 6, 9, 5, 1, 4, 7, 9, 6, 4, 1, 2, 7, 5, 3, 8, 1, 7, 5, 4, 3, 8, 2, 9, 6, 2, 4, 8, 5, 1, 3, 7, 6, 9, 7, 5, 9, 2, 8, 6, 3, 1, 4, 6, 1, 3, 7, 4, 9, 8, 5, 2, 4, 3, 7, 9, 5, 2, 6, 8, 1, 8, 2, 1, 3, 6, 4, 9, 7, 5, 5, 9, 6, 8, 7, 1, 4, 2, 3],
hard,[2, 0, 0, 3, 0, 0, 0, 8, 6, 0, 6, 3, 0, 0, 2, 0, 0, 9, 0, 9, 0, 0, 6, 1, 3, 2, 4, 5, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 0, 2, 0, 5, 6, 5, 2, 9, 8, 0, 0, 3, 0, 3, 0, 0, 4, 0, 0, 5, 7, 0, 4, 1, 0, 0, 0, 3, 0, 0, 8],[2, 7, 4, 3, 9, 5, 1, 8, 6, 1, 6, 3, 8, 4, 2, 7, 5, 9, 8, 9, 5, 7, 6, 1, 3, 2, 4, 5, 4, 1, 2, 3, 9, 8, 6, 7, 7, 2, 6, 1, 5, 8, 9, 4, 3, 9, 3, 8, 6, 7, 4, 2, 1, 5, 6, 5, 2, 9, 8, 7, 4, 3, 1, 3, 8, 9, 4, 1, 6, 5, 7, 2, 4, 1, 7, 5, 2, 3, 6, 9, 8],
easy,[0, 8, 1, 5, 4, 0, 0, 0, 9, 5, 3, 0, 0, 0, 0, 2, 0, 7, 6, 0, 0, 0, 9, 0, 5, 8, 1, 0, 0, 0, 0, 0, 6, 0, 7, 0, 0, 2, 0, 4, 0, 5, 0, 1, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 3, 7, 4, 0, 8, 0, 0, 0, 5, 8, 0, 6, 0, 0, 0, 0, 2, 4, 1, 0, 0, 0, 5, 4, 8, 3, 0],[2, 8, 1, 5, 4, 7, 3, 6, 9, 5, 3, 9, 1, 6, 8, 2, 4, 7, 6, 4, 7, 2, 9, 3, 5, 8, 1, 4, 1, 5, 3, 2, 6, 9, 7, 8, 9, 2, 8, 4, 7, 5, 6, 1, 3, 7, 6, 3, 8, 1, 9, 4, 5, 2, 3, 7, 4, 6, 8, 2, 1, 9, 5, 8, 5, 6, 9, 3, 1, 7, 2, 4, 1, 9, 2, 7, 5, 4, 8, 3, 6],
hard,[0, 2, 0, 0, 5, 0, 0, 8, 1, 0, 0, 0, 0, 9, 0, 4, 3, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 7, 9, 0, 0, 1, 6, 2, 6, 0, 8, 1, 0, 7, 3, 0, 4, 2, 3, 1, 0, 0, 4, 7, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 1, 4, 0, 8, 0, 0, 0, 0, 8, 6, 0, 0, 1, 0, 0, 4, 0],[7, 2, 3, 4, 5, 6, 9, 8, 1, 5, 8, 6, 2, 9, 1, 4, 3, 7, 1, 4, 9, 8, 7, 3, 6, 2, 5, 4, 5, 7, 9, 3, 8, 1, 6, 2, 6, 9, 8, 1, 2, 7, 3, 5, 4, 2, 3, 1, 5, 6, 4, 7, 9, 8, 9, 7, 2, 3, 4, 5, 8, 1, 6, 3, 1, 4, 6, 8, 2, 5, 7, 9, 8, 6, 5, 7, 1, 9, 2, 4, 3],
medium,[0, 0, 8, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 2, 9, 9, 4, 0, 0, 0, 3, 6, 0, 8, 4, 0, 0, 0, 9, 5, 3, 0, 0, 0, 0, 6, 7, 0, 2, 1, 0, 0, 0, 0, 5, 3, 4, 0, 0, 0, 7, 1, 0, 7, 4, 0, 0, 0, 9, 5, 5, 2, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 7, 0, 0],[7, 5, 8, 9, 2, 6, 4, 3, 1, 6, 1, 3, 8, 7, 4, 5, 2, 9, 9, 4, 2, 5, 1, 3, 6, 7, 8, 4, 7, 1, 6, 9, 5, 3, 8, 2, 3, 9, 6, 7, 8, 2, 1, 5, 4, 2, 8, 5, 3, 4, 1, 9, 6, 7, 1, 6, 7, 4, 3, 8, 2, 9, 5, 5, 2, 9, 1, 6, 7, 8, 4, 3, 8, 3, 4, 2, 5, 9, 7, 1, 6],
medium,[0, 2, 0, 0, 0, 6, 0, 5, 0, 4, 7, 0, 0, 0, 8, 0, 0, 9, 6, 0, 1, 0, 9, 3, 0, 0, 0, 7, 0, 2, 0, 0, 0, 0, 8, 4, 0, 6, 4, 0, 0, 0, 5, 9, 0, 8, 9, 0, 0, 0, 0, 7, 0, 2, 0, 0, 0, 2, 6, 0, 8, 0, 3, 1, 0, 0, 9, 0, 0, 0, 4, 6, 0, 8, 0, 1, 0, 0, 0, 7, 0],[9, 2, 8, 4, 1, 6, 3, 5, 7, 4, 7, 3, 5, 2, 8, 1, 6, 9, 6, 5, 1, 7, 9, 3, 4, 2, 8, 7, 1, 2, 3, 5, 9, 6, 8, 4, 3, 6, 4, 8, 7, 2, 5, 9, 1, 8, 9, 5, 6, 4, 1, 7, 3, 2, 5, 4, 9, 2, 6, 7, 8, 1, 3, 1, 3, 7, 9, 8, 5, 2, 4, 6, 2, 8, 6, 1, 3, 4, 9, 7, 5],
hard,[5, 0, 0, 0, 0, 0, 3, 0, 0, 6, 2, 0, 8, 0, 9, 1, 0, 0, 3, 0, 0, 4, 0, 0, 0, 0, 6, 9, 0, 7, 0, 0, 6, 0, 0, 0, 8, 0, 2, 5, 0, 3, 6, 0, 1, 0, 0, 0, 7, 0, 0, 2, 0, 5, 7, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 3, 2, 0, 5, 0, 1, 8, 0, 0, 5, 0, 0, 0, 0, 0, 9],[5, 8, 9, 6, 7, 1, 3, 4, 2, 6, 2, 4, 8, 3, 9, 1, 5, 7, 3, 7, 1, 4, 5, 2, 9, 8, 6, 9, 5, 7, 1, 2, 6, 8, 3, 4, 8, 4, 2, 5, 9, 3, 6, 7, 1, 1, 3, 6, 7, 4, 8, 2, 9, 5, 7, 6, 8, 9, 1, 4, 5, 2, 3, 4, 9, 3, 2, 6, 5, 7, 1, 8, 2, 1, 5, 3, 8, 7, 4, 6, 9],
hard,[0, 0, 3, 0, 6, 0, 0, 0, 0, 6, 9, 4, 5, 7, 0, 3, 0, 0, 5, 0, 0, 0, 0, 8, 0, 9, 0, 0, 2, 0, 8, 0, 0, 5, 4, 3, 0, 5, 0, 0, 0, 0, 0, 1, 0, 8, 3, 1, 0, 0, 7, 0, 2, 0, 0, 1, 0, 3, 0, 0, 0, 0, 4, 0, 0, 5, 0, 8, 1, 9, 6, 7, 0, 0, 0, 0, 4, 0, 1, 0, 0],[1, 8, 3, 9, 6, 4, 2, 7, 5, 6, 9, 4, 5, 7, 2, 3, 8, 1, 5, 7, 2, 1, 3, 8, 4, 9, 6, 7, 2, 6, 8, 1, 9, 5, 4, 3, 4, 5, 9, 6, 2, 3, 7, 1, 8, 8, 3, 1, 4, 5, 7, 6, 2, 9, 2, 1, 7, 3, 9, 6, 8, 5, 4, 3, 4, 5, 2, 8, 1, 9, 6, 7, 9, 6, 8, 7, 4, 5, 1, 3, 2],
medium,[0, 2, 0, 0, 0, 0, 5, 8, 0, 0, 5, 0, 1, 0, 0, 7, 3, 9, 0, 7, 6, 0, 0, 8, 0, 0, 4, 0, 8, 0, 6, 0, 7, 0, 1, 0, 0, 0, 7, 0, 1, 0, 6, 0, 0, 0, 9, 0, 8, 0, 3, 0, 7, 0, 7, 0, 0, 4, 0, 0, 3, 6, 0, 3, 4, 8, 0, 0, 6, 0, 5, 0, 0, 6, 2, 0, 0, 0, 0, 4, 0],[1, 2, 3, 7, 4, 9, 5, 8, 6, 8, 5, 4, 1, 6, 2, 7, 3, 9, 9, 7, 6, 3, 5, 8, 1, 2, 4, 4, 8, 5, 6, 9, 7, 2, 1, 3, 2, 3, 7, 5, 1, 4, 6, 9, 8, 6, 9, 1, 8, 2, 3, 4, 7, 5, 7, 1, 9, 4, 8, 5, 3, 6, 2, 3, 4, 8, 2, 7, 6, 9, 5, 1, 5, 6, 2, 9, 3, 1, 8, 4, 7],
hard,[0, 0, 5, 0, 7, 0, 1, 0, 0, 8, 0, 1, 2, 5, 0, 7, 0, 0, 0, 3, 0, 6, 0, 9, 0, 0, 2, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 5, 3, 1, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 9, 0, 0, 3, 0, 7, 0, 1, 0, 0, 0, 6, 0, 8, 2, 4, 0, 9, 0, 0, 8, 0, 9, 0, 2, 0, 0],[6, 2, 5, 8, 7, 4, 1, 9, 3, 8, 9, 1, 2, 5, 3, 7, 4, 6, 4, 3, 7, 6, 1, 9, 8, 5, 2, 1, 8, 3, 7, 4, 6, 9, 2, 5, 2, 7, 9, 5, 3, 1, 6, 8, 4, 5, 6, 4, 9, 2, 8, 3, 7, 1, 9, 4, 2, 3, 6, 7, 5, 1, 8, 7, 5, 6, 1, 8, 2, 4, 3, 9, 3, 1, 8, 4, 9, 5, 2, 6, 7],
easy,[0, 2, 0, 0, 0, 3, 4, 0, 5, 8, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 5, 4, 0, 0, 1, 0, 0, 0, 0, 4, 9, 8, 1, 5, 6, 0, 0, 0, 0, 6, 0, 7, 0, 0, 0, 0, 1, 9, 2, 4, 5, 3, 0, 0, 0, 0, 7, 0, 0, 4, 6, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 7, 1, 0, 2, 5, 0, 0, 0, 4, 0],[9, 2, 1, 7, 6, 3, 4, 8, 5, 8, 4, 3, 1, 5, 2, 7, 9, 6, 7, 6, 5, 4, 9, 8, 1, 2, 3, 3, 7, 4, 9, 8, 1, 5, 6, 2, 2, 5, 8, 6, 3, 7, 9, 1, 4, 6, 1, 9, 2, 4, 5, 3, 7, 8, 5, 9, 7, 8, 2, 4, 6, 3, 1, 4, 8, 6, 3, 1, 9, 2, 5, 7, 1, 3, 2, 5, 7, 6, 8, 4, 9],
easy,[6, 0, 0, 0, 2, 1, 0, 8, 7, 0, 0, 5, 4, 0, 0, 0, 0, 1, 1, 0, 0, 5, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 0, 8, 5, 3, 9, 0, 0, 0, 4, 2, 6, 7, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 4, 0, 0, 2, 2, 0, 0, 0, 0, 3, 1, 0, 0, 3, 4, 0, 1, 5, 0, 0, 0, 9],[6, 9, 4, 3, 2, 1, 5, 8, 7, 8, 2, 5, 4, 9, 7, 6, 3, 1, 1, 7, 3, 5, 8, 6, 2, 9, 4, 4, 1, 6, 2, 3, 9, 7, 5, 8, 5, 3, 9, 7, 1, 8, 4, 2, 6, 7, 8, 2, 6, 4, 5, 9, 1, 3, 9, 5, 1, 8, 6, 4, 3, 7, 2, 2, 6, 8, 9, 7, 3, 1, 4, 5, 3, 4, 7, 1, 5, 2, 8, 6, 9],
easy,[0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 0, 4, 5, 9, 0, 1, 8, 0, 0, 3, 0, 2, 7, 4, 0, 0, 3, 0, 0, 0, 0, 0, 2, 4, 7, 0, 7, 0, 3, 1, 2, 0, 6, 0, 9, 6, 2, 0, 0, 0, 0, 0, 1, 0, 0, 8, 2, 6, 0, 9, 0, 0, 6, 4, 0, 9, 8, 3, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0],[4, 5, 9, 8, 3, 1, 7, 2, 6, 7, 2, 6, 4, 5, 9, 3, 1, 8, 8, 1, 3, 6, 2, 7, 4, 9, 5, 3, 8, 1, 5, 9, 6, 2, 4, 7, 5, 7, 4, 3, 1, 2, 8, 6, 9, 9, 6, 2, 7, 4, 8, 5, 3, 1, 1, 3, 8, 2, 6, 5, 9, 7, 4, 6, 4, 7, 9, 8, 3, 1, 5, 2, 2, 9, 5, 1, 7, 4, 6, 8, 3],
hard,[8, 4, 0, 0, 0, 0, 0, 6, 1, 2, 0, 0, 0, 0, 3, 8, 5, 0, 0, 0, 5, 8, 0, 1, 0, 3, 0, 0, 5, 8, 3, 0, 0, 0, 2, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 9, 0, 0, 0, 6, 3, 7, 0, 0, 1, 0, 6, 0, 7, 4, 0, 0, 0, 8, 6, 4, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 1, 7],[8, 4, 3, 2, 9, 5, 7, 6, 1, 2, 6, 1, 7, 4, 3, 8, 5, 9, 9, 7, 5, 8, 6, 1, 2, 3, 4, 1, 5, 8, 3, 7, 4, 9, 2, 6, 6, 3, 7, 9, 2, 8, 1, 4, 5, 4, 9, 2, 1, 5, 6, 3, 7, 8, 5, 1, 9, 6, 3, 7, 4, 8, 2, 7, 8, 6, 4, 1, 2, 5, 9, 3, 3, 2, 4, 5, 8, 9, 6, 1, 7],
easy,[3, 7, 0, 0, 0, 6, 0, 1, 0, 9, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 8, 5, 3, 0, 7, 0, 0, 0, 0, 6, 0, 8, 2, 0, 3, 0, 8, 4, 0, 3, 0, 7, 0, 5, 2, 0, 3, 0, 9, 5, 0, 8, 0, 0, 0, 0, 7, 0, 4, 3, 5, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 4, 0, 9, 0, 6, 0, 0, 0, 8, 3],[3, 7, 5, 2, 9, 6, 4, 1, 8, 9, 6, 4, 7, 1, 8, 3, 2, 5, 2, 1, 8, 5, 3, 4, 7, 6, 9, 1, 5, 6, 4, 8, 2, 9, 3, 7, 8, 4, 9, 3, 6, 7, 1, 5, 2, 7, 3, 2, 9, 5, 1, 8, 4, 6, 6, 2, 7, 8, 4, 3, 5, 9, 1, 5, 8, 3, 1, 2, 9, 6, 7, 4, 4, 9, 1, 6, 7, 5, 2, 8, 3],
medium,[0, 1, 6, 8, 0, 4, 2, 7, 0, 4, 0, 7, 3, 0, 9, 0, 0, 5, 0, 0, 0, 0, 2, 0, 0, 4, 9, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 5, 8, 0, 0, 0, 7, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 7, 4, 0, 0, 9, 0, 0, 0, 0, 8, 0, 0, 7, 0, 3, 9, 0, 1, 0, 9, 3, 2, 0, 8, 4, 6, 0],[9, 1, 6, 8, 5, 4, 2, 7, 3, 4, 2, 7, 3, 6, 9, 8, 1, 5, 3, 8, 5, 1, 2, 7, 6, 4, 9, 1, 7, 9, 6, 8, 2, 5, 3, 4, 2, 5, 8, 4, 3, 1, 7, 9, 6, 6, 3, 4, 9, 7, 5, 1, 2, 8, 7, 4, 1, 5, 9, 6, 3, 8, 2, 8, 6, 2, 7, 4, 3, 9, 5, 1, 5, 9, 3, 2, 1, 8, 4, 6, 7],
medium,[0, 0, 0, 0, 7, 0, 0, 0, 6, 0, 5, 7, 0, 0, 8, 3, 0, 1, 0, 9, 0, 0, 1, 3, 2, 5, 0, 0, 0, 0, 0, 0, 4, 1, 0, 9, 7, 1, 2, 0, 0, 0, 5, 8, 4, 3, 0, 9, 5, 0, 0, 0, 0, 0, 0, 2, 5, 8, 6, 0, 0, 7, 0, 9, 0, 3, 4, 0, 0, 6, 1, 0, 8, 0, 0, 0, 3, 0, 0, 0, 0],[2, 3, 1, 9, 7, 5, 8, 4, 6, 6, 5, 7, 2, 4, 8, 3, 9, 1, 4, 9, 8, 6, 1, 3, 2, 5, 7, 5, 8, 6, 7, 2, 4, 1, 3, 9, 7, 1, 2, 3, 9, 6, 5, 8, 4, 3, 4, 9, 5, 8, 1, 7, 6, 2, 1, 2, 5, 8, 6, 9, 4, 7, 3, 9, 7, 3, 4, 5, 2, 6, 1, 8, 8, 6, 4, 1, 3, 7, 9, 2, 5],
easy,[9, 0, 0, 0, 0, 4, 0, 0, 6, 0, 5, 6, 8, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 4, 3, 8, 5, 1, 6, 0, 7, 0, 1, 0, 0, 9, 0, 8, 0, 0, 3, 0, 7, 0, 2, 4, 3, 1, 8, 5, 0, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 0, 9, 3, 1, 0, 8, 0, 0, 1, 0, 0, 0, 0, 4],[9, 8, 1, 3, 5, 4, 7, 2, 6, 7, 5, 6, 8, 2, 1, 4, 3, 9, 2, 4, 3, 6, 9, 7, 8, 5, 1, 4, 3, 8, 5, 1, 6, 9, 7, 2, 1, 2, 5, 9, 7, 8, 6, 4, 3, 6, 7, 9, 2, 4, 3, 1, 8, 5, 3, 1, 4, 7, 6, 2, 5, 9, 8, 5, 6, 2, 4, 8, 9, 3, 1, 7, 8, 9, 7, 1, 3, 5, 2, 6, 4],
hard,[1, 8, 0, 0, 0, 4, 0, 5, 0, 3, 9, 7, 2, 5, 0, 0, 0, 4, 0, 4, 0, 8, 0, 0, 3, 0, 6, 0, 0, 0, 0, 6, 0, 7, 3, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 3, 1, 0, 4, 0, 0, 0, 0, 9, 0, 4, 0, 0, 7, 0, 2, 0, 2, 0, 0, 0, 9, 1, 4, 8, 7, 0, 7, 0, 4, 0, 0, 0, 9, 5],[1, 8, 6, 3, 7, 4, 9, 5, 2, 3, 9, 7, 2, 5, 6, 8, 1, 4, 5, 4, 2, 8, 1, 9, 3, 7, 6, 4, 2, 5, 9, 6, 8, 7, 3, 1, 7, 6, 9, 1, 3, 5, 2, 4, 8, 8, 3, 1, 7, 4, 2, 5, 6, 9, 9, 1, 4, 5, 8, 7, 6, 2, 3, 2, 5, 3, 6, 9, 1, 4, 8, 7, 6, 7, 8, 4, 2, 3, 1, 9, 5],
hard,[0, 0, 8, 0, 2, 9, 7, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 9, 0, 4, 0, 0, 1, 0, 8, 0, 6, 0, 3, 0, 0, 4, 2, 6, 0, 0, 6, 2, 1, 0, 0, 0, 3, 8, 4, 0, 0, 5, 8, 3, 0, 0, 9, 0, 1, 0, 2, 0, 5, 0, 0, 4, 0, 7, 0, 0, 0, 8, 0, 0, 0, 0, 3, 0, 4, 7, 9, 0, 2, 0, 0],[5, 6, 8, 4, 2, 9, 7, 1, 3, 2, 1, 7, 3, 6, 8, 4, 5, 9, 9, 4, 3, 5, 1, 7, 8, 2, 6, 8, 3, 9, 1, 4, 2, 6, 7, 5, 6, 2, 1, 9, 7, 5, 3, 8, 4, 4, 7, 5, 8, 3, 6, 1, 9, 2, 1, 8, 2, 6, 5, 3, 9, 4, 7, 7, 9, 6, 2, 8, 4, 5, 3, 1, 3, 5, 4, 7, 9, 1, 2, 6, 8],
easy,[0, 8, 9, 3, 0, 2, 0, 4, 7, 0, 0, 5, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 0, 6, 0, 0, 0, 7, 0, 0, 9, 0, 7, 3, 5, 0, 1, 0, 0, 7, 0, 0, 0, 4, 0, 6, 8, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 2, 0, 0, 2, 6, 0, 9, 0, 1, 7, 5, 0],[6, 8, 9, 3, 5, 2, 1, 4, 7, 3, 1, 5, 4, 9, 7, 8, 2, 6, 7, 2, 4, 8, 1, 6, 5, 3, 9, 1, 4, 2, 6, 8, 9, 3, 7, 5, 8, 9, 6, 7, 3, 5, 4, 1, 2, 5, 7, 3, 1, 2, 4, 9, 6, 8, 9, 5, 1, 2, 7, 3, 6, 8, 4, 4, 3, 7, 5, 6, 8, 2, 9, 1, 2, 6, 8, 9, 4, 1, 7, 5, 3],
medium,[0, 5, 9, 0, 0, 7, 0, 3, 2, 4, 0, 0, 0, 0, 0, 8, 5, 0, 0, 2, 6, 1, 0, 0, 0, 7, 0, 9, 0, 0, 0, 0, 8, 5, 0, 0, 1, 4, 2, 0, 0, 0, 3, 9, 8, 0, 0, 5, 9, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 3, 9, 4, 0, 0, 9, 4, 0, 0, 0, 0, 0, 3, 5, 6, 0, 8, 0, 0, 2, 1, 0],[8, 5, 9, 4, 6, 7, 1, 3, 2, 4, 7, 1, 3, 2, 9, 8, 5, 6, 3, 2, 6, 1, 8, 5, 4, 7, 9, 9, 3, 7, 2, 4, 8, 5, 6, 1, 1, 4, 2, 7, 5, 6, 3, 9, 8, 6, 8, 5, 9, 3, 1, 7, 2, 4, 2, 1, 8, 6, 7, 3, 9, 4, 5, 7, 9, 4, 5, 1, 2, 6, 8, 3, 5, 6, 3, 8, 9, 4, 2, 1, 7],
medium,[9, 0, 0, 7, 8, 3, 0, 0, 0, 0, 6, 7, 2, 1, 9, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 2, 3, 9, 5, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 9, 0, 1, 6, 2, 5, 4, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 3, 6, 2, 5, 0, 0, 0, 0, 5, 2, 1, 0, 0, 4],[9, 5, 4, 7, 8, 3, 6, 1, 2, 8, 6, 7, 2, 1, 9, 4, 3, 5, 2, 1, 3, 6, 5, 4, 8, 9, 7, 1, 4, 2, 3, 9, 5, 7, 6, 8, 5, 3, 6, 4, 7, 8, 9, 2, 1, 7, 9, 8, 1, 6, 2, 5, 4, 3, 3, 2, 5, 9, 4, 7, 1, 8, 6, 4, 7, 1, 8, 3, 6, 2, 5, 9, 6, 8, 9, 5, 2, 1, 3, 7, 4],
hard,[0, 8, 6, 0, 2, 0, 0, 0, 5, 9, 0, 5, 0, 6, 4, 0, 0, 0, 0, 4, 3, 0, 7, 8, 9, 0, 0, 0, 0, 7, 1, 0, 0, 0, 6, 0, 0, 9, 0, 0, 4, 0, 0, 8, 0, 0, 1, 0, 0, 0, 7, 5, 0, 0, 0, 0, 1, 8, 9, 0, 6, 5, 0, 0, 0, 0, 7, 5, 0, 8, 0, 1, 5, 0, 0, 0, 1, 0, 3, 7, 0],[7, 8, 6, 9, 2, 1, 4, 3, 5, 9, 2, 5, 3, 6, 4, 7, 1, 8, 1, 4, 3, 5, 7, 8, 9, 2, 6, 8, 5, 7, 1, 3, 9, 2, 6, 4, 3, 9, 2, 6, 4, 5, 1, 8, 7, 6, 1, 4, 2, 8, 7, 5, 9, 3, 4, 7, 1, 8, 9, 3, 6, 5, 2, 2, 3, 9, 7, 5, 6, 8, 4, 1, 5, 6, 8, 4, 1, 2, 3, 7, 9],
hard,[9, 5, 1, 6, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 8, 1, 0, 3, 0, 7, 0, 5, 0, 9, 0, 0, 8, 1, 0, 0, 3, 0, 0, 5, 2, 0, 4, 0, 0, 0, 0, 0, 7, 0, 6, 7, 0, 0, 2, 0, 0, 4, 9, 0, 0, 8, 0, 7, 0, 4, 0, 6, 0, 9, 5, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 2, 5, 9, 7],[9, 5, 1, 6, 4, 8, 7, 2, 3, 2, 6, 4, 7, 9, 3, 8, 1, 5, 3, 8, 7, 2, 5, 1, 9, 6, 4, 8, 1, 9, 4, 3, 7, 6, 5, 2, 5, 4, 2, 9, 1, 6, 3, 7, 8, 6, 7, 3, 8, 2, 5, 1, 4, 9, 1, 2, 8, 5, 7, 9, 4, 3, 6, 7, 9, 5, 3, 6, 4, 2, 8, 1, 4, 3, 6, 1, 8, 2, 5, 9, 7],
easy,[4, 9, 0, 8, 0, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 9, 3, 0, 5, 7, 0, 9, 0, 2, 0, 8, 3, 0, 0, 5, 0, 7, 0, 0, 6, 5, 0, 0, 1, 0, 6, 0, 0, 2, 6, 0, 0, 9, 0, 2, 0, 0, 5, 8, 0, 5, 0, 1, 0, 7, 2, 0, 7, 2, 0, 0, 0, 0, 0, 8, 0, 9, 0, 0, 0, 0, 8, 0, 6, 1],[4, 9, 3, 8, 2, 1, 6, 5, 7, 2, 8, 6, 7, 5, 4, 1, 9, 3, 1, 5, 7, 6, 9, 3, 2, 4, 8, 3, 4, 2, 5, 8, 7, 9, 1, 6, 5, 7, 9, 1, 4, 6, 8, 3, 2, 6, 1, 8, 9, 3, 2, 4, 7, 5, 8, 6, 5, 3, 1, 9, 7, 2, 4, 7, 2, 1, 4, 6, 5, 3, 8, 9, 9, 3, 4, 2, 7, 8, 5, 6, 1],
hard,[6, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 6, 0, 7, 9, 0, 3, 0, 0, 4, 1, 0, 9, 0, 8, 0, 0, 0, 7, 0, 0, 8, 0, 0, 9, 0, 3, 0, 7, 0, 5, 0, 6, 0, 8, 0, 0, 3, 0, 0, 5, 0, 0, 0, 5, 0, 2, 0, 1, 7, 0, 0, 7, 0, 8, 9, 0, 3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 8],[6, 9, 5, 8, 3, 4, 1, 7, 2, 2, 8, 1, 6, 5, 7, 9, 4, 3, 3, 7, 4, 1, 2, 9, 6, 8, 5, 5, 1, 7, 4, 6, 8, 3, 2, 9, 9, 3, 2, 7, 1, 5, 8, 6, 4, 8, 4, 6, 3, 9, 2, 5, 1, 7, 4, 5, 3, 2, 8, 1, 7, 9, 6, 7, 6, 8, 9, 4, 3, 2, 5, 1, 1, 2, 9, 5, 7, 6, 4, 3, 8],
medium,[0, 0, 0, 4, 0, 6, 0, 0, 3, 0, 2, 0, 0, 0, 5, 6, 1, 0, 0, 0, 0, 0, 7, 1, 0, 0, 4, 9, 0, 0, 0, 5, 0, 0, 6, 2, 3, 7, 6, 0, 4, 0, 9, 5, 8, 2, 5, 0, 0, 9, 0, 0, 0, 1, 1, 0, 0, 7, 6, 0, 0, 0, 0, 0, 3, 8, 5, 0, 0, 0, 9, 0, 7, 0, 0, 2, 0, 9, 0, 0, 0],[5, 1, 9, 4, 2, 6, 7, 8, 3, 4, 2, 7, 8, 3, 5, 6, 1, 9, 8, 6, 3, 9, 7, 1, 5, 2, 4, 9, 8, 1, 3, 5, 7, 4, 6, 2, 3, 7, 6, 1, 4, 2, 9, 5, 8, 2, 5, 4, 6, 9, 8, 3, 7, 1, 1, 9, 2, 7, 6, 3, 8, 4, 5, 6, 3, 8, 5, 1, 4, 2, 9, 7, 7, 4, 5, 2, 8, 9, 1, 3, 6],
hard,[4, 8, 5, 0, 0, 6, 2, 0, 3, 0, 3, 0, 5, 0, 8, 7, 0, 0, 0, 1, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1, 8, 6, 9, 0, 0, 0, 9, 0, 4, 0, 0, 0, 9, 2, 1, 6, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 6, 1, 0, 2, 0, 9, 0, 1, 0, 2, 3, 0, 0, 6, 8, 7],[4, 8, 5, 7, 9, 6, 2, 1, 3, 2, 3, 9, 5, 1, 8, 7, 4, 6, 6, 1, 7, 4, 2, 3, 9, 5, 8, 5, 7, 4, 2, 3, 1, 8, 6, 9, 3, 6, 8, 9, 5, 4, 1, 7, 2, 9, 2, 1, 6, 8, 7, 4, 3, 5, 7, 4, 3, 8, 6, 9, 5, 2, 1, 8, 5, 6, 1, 7, 2, 3, 9, 4, 1, 9, 2, 3, 4, 5, 6, 8, 7],
easy,[2, 0, 4, 1, 0, 7, 9, 0, 0, 9, 0, 6, 0, 0, 2, 0, 4, 0, 0, 8, 0, 5, 0, 0, 2, 3, 6, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 9, 0, 2, 0, 3, 0, 7, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 3, 4, 8, 0, 0, 6, 0, 5, 0, 0, 2, 0, 4, 0, 0, 8, 0, 7, 0, 0, 7, 8, 0, 5, 3, 0, 4],[2, 3, 4, 1, 6, 7, 9, 8, 5, 9, 5, 6, 3, 8, 2, 7, 4, 1, 7, 8, 1, 5, 9, 4, 2, 3, 6, 8, 7, 2, 6, 5, 9, 4, 1, 3, 4, 9, 5, 2, 1, 3, 6, 7, 8, 6, 1, 3, 7, 4, 8, 5, 2, 9, 3, 4, 8, 9, 7, 6, 1, 5, 2, 5, 2, 9, 4, 3, 1, 8, 6, 7, 1, 6, 7, 8, 2, 5, 3, 9, 4],
hard,[0, 0, 5, 0, 0, 6, 0, 0, 2, 0, 9, 7, 3, 1, 0, 0, 0, 6, 2, 0, 0, 0, 0, 0, 7, 0, 3, 0, 0, 2, 9, 0, 0, 0, 0, 7, 0, 5, 3, 2, 0, 1, 8, 6, 0, 9, 0, 0, 0, 0, 7, 5, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 5, 6, 0, 0, 0, 2, 4, 1, 3, 0, 5, 0, 0, 7, 0, 0, 6, 0, 0],[4, 3, 5, 8, 7, 6, 9, 1, 2, 8, 9, 7, 3, 1, 2, 4, 5, 6, 2, 1, 6, 4, 9, 5, 7, 8, 3, 1, 6, 2, 9, 5, 8, 3, 4, 7, 7, 5, 3, 2, 4, 1, 8, 6, 9, 9, 8, 4, 6, 3, 7, 5, 2, 1, 3, 4, 8, 1, 6, 9, 2, 7, 5, 6, 7, 9, 5, 2, 4, 1, 3, 8, 5, 2, 1, 7, 8, 3, 6, 9, 4],
easy,[0, 1, 0, 9, 0, 5, 2, 0, 8, 0, 4, 0, 0, 0, 1, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 3, 4, 5, 0, 0, 0, 3, 1, 6, 0, 2, 8, 7, 0, 0, 0, 5, 8, 9, 0, 0, 0, 0, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 0, 4, 0, 5, 0, 6, 4, 0, 9, 0, 1, 0],[3, 1, 7, 9, 4, 5, 2, 6, 8, 6, 4, 9, 2, 8, 1, 7, 5, 3, 8, 5, 2, 3, 7, 6, 1, 9, 4, 7, 9, 8, 1, 3, 4, 5, 2, 6, 4, 3, 1, 6, 5, 2, 8, 7, 9, 2, 6, 5, 8, 9, 7, 4, 3, 1, 9, 2, 4, 7, 1, 3, 6, 8, 5, 1, 7, 3, 5, 6, 8, 9, 4, 2, 5, 8, 6, 4, 2, 9, 3, 1, 7],
hard,[1, 3, 4, 0, 8, 7, 0, 0, 5, 9, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 6, 0, 0, 0, 0, 3, 2, 4, 0, 2, 6, 9, 0, 0, 0, 0, 0, 0, 1, 8, 0, 4, 2, 0, 0, 0, 0, 0, 0, 2, 3, 4, 0, 9, 2, 7, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 4, 6, 0, 7, 9, 3],[1, 3, 4, 2, 8, 7, 9, 6, 5, 9, 2, 5, 3, 1, 6, 8, 7, 4, 7, 8, 6, 9, 4, 5, 1, 3, 2, 4, 5, 2, 6, 9, 1, 3, 8, 7, 3, 9, 1, 8, 7, 4, 2, 5, 6, 8, 6, 7, 5, 2, 3, 4, 1, 9, 2, 7, 3, 1, 5, 9, 6, 4, 8, 6, 4, 9, 7, 3, 8, 5, 2, 1, 5, 1, 8, 4, 6, 2, 7, 9, 3],
medium,[7, 6, 8, 1, 4, 0, 5, 0, 0, 0, 0, 0, 6, 0, 7, 4, 0, 1, 5, 0, 0, 3, 0, 0, 0, 6, 7, 9, 0, 6, 0, 0, 0, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 1, 0, 6, 2, 1, 0, 0, 0, 6, 0, 0, 8, 8, 0, 7, 9, 0, 2, 0, 0, 0, 0, 0, 5, 0, 8, 4, 3, 1, 2],[7, 6, 8, 1, 4, 9, 5, 2, 3, 3, 2, 9, 6, 5, 7, 4, 8, 1, 5, 4, 1, 3, 2, 8, 9, 6, 7, 9, 5, 6, 8, 7, 1, 2, 3, 4, 1, 7, 2, 4, 6, 3, 8, 5, 9, 4, 8, 3, 2, 9, 5, 1, 7, 6, 2, 1, 4, 5, 3, 6, 7, 9, 8, 8, 3, 7, 9, 1, 2, 6, 4, 5, 6, 9, 5, 7, 8, 4, 3, 1, 2],
medium,[0, 0, 7, 0, 0, 6, 2, 0, 0, 0, 6, 1, 0, 9, 8, 0, 0, 7, 8, 4, 0, 0, 5, 0, 0, 3, 0, 0, 0, 5, 8, 0, 0, 0, 0, 3, 7, 9, 0, 3, 0, 2, 0, 1, 5, 2, 0, 0, 0, 0, 1, 9, 0, 0, 0, 8, 0, 0, 1, 0, 0, 7, 2, 1, 0, 0, 9, 2, 0, 8, 5, 0, 0, 0, 6, 7, 0, 0, 1, 0, 0],[9, 5, 7, 4, 3, 6, 2, 8, 1, 3, 6, 1, 2, 9, 8, 5, 4, 7, 8, 4, 2, 1, 5, 7, 6, 3, 9, 6, 1, 5, 8, 4, 9, 7, 2, 3, 7, 9, 8, 3, 6, 2, 4, 1, 5, 2, 3, 4, 5, 7, 1, 9, 6, 8, 4, 8, 9, 6, 1, 5, 3, 7, 2, 1, 7, 3, 9, 2, 4, 8, 5, 6, 5, 2, 6, 7, 8, 3, 1, 9, 4],
hard,[0, 0, 0, 1, 0, 9, 7, 2, 0, 0, 0, 7, 0, 0, 0, 0, 3, 0, 2, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 6, 2, 1, 7, 3, 9, 4, 3, 0, 0, 9, 0, 8, 0, 0, 1, 7, 1, 9, 3, 4, 5, 6, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 9, 0, 7, 0, 0, 0, 0, 1, 0, 0, 0, 3, 1, 8, 0, 4, 0, 0, 0],[8, 4, 3, 1, 5, 9, 7, 2, 6, 1, 9, 7, 6, 8, 2, 4, 3, 5, 2, 6, 5, 4, 7, 3, 9, 1, 8, 5, 8, 6, 2, 1, 7, 3, 9, 4, 3, 2, 4, 9, 6, 8, 5, 7, 1, 7, 1, 9, 3, 4, 5, 6, 8, 2, 4, 5, 2, 7, 3, 1, 8, 6, 9, 9, 7, 8, 5, 2, 6, 1, 4, 3, 6, 3, 1, 8, 9, 4, 2, 5, 7],
medium,[0, 0, 9, 5, 0, 4, 2, 6, 0, 0, 0, 0, 0, 2, 8, 0, 9, 0, 5, 0, 0, 3, 6, 0, 4, 0, 8, 9, 8, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 1, 6, 4, 0, 2, 0, 3, 5, 0, 0, 7, 0, 5, 0, 4, 7, 0, 0, 0, 0, 0, 1, 6, 8, 0, 2, 3, 0, 0],[8, 7, 9, 5, 1, 4, 2, 6, 3, 6, 3, 4, 7, 2, 8, 1, 9, 5, 5, 2, 1, 3, 6, 9, 4, 7, 8, 9, 8, 3, 6, 5, 1, 7, 4, 2, 1, 6, 5, 2, 4, 7, 8, 3, 9, 2, 4, 7, 9, 8, 3, 5, 1, 6, 4, 9, 2, 1, 3, 5, 6, 8, 7, 3, 5, 8, 4, 7, 6, 9, 2, 1, 7, 1, 6, 8, 9, 2, 3, 5, 4],
hard,[0, 0, 8, 0, 1, 0, 2, 6, 9, 0, 0, 0, 0, 0, 8, 1, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 7, 2, 0, 5, 0, 0, 1, 7, 0, 0, 0, 6, 3, 8, 0, 4, 5, 1, 0, 0, 0, 9, 7, 0, 0, 8, 0, 6, 3, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 4, 5, 0, 0, 0, 0, 0, 8, 5, 6, 0, 2, 0, 9, 0, 0],[5, 4, 8, 3, 1, 7, 2, 6, 9, 9, 3, 7, 2, 6, 8, 1, 4, 5, 6, 2, 1, 9, 4, 5, 3, 8, 7, 2, 8, 5, 6, 3, 1, 7, 9, 4, 7, 6, 3, 8, 9, 4, 5, 1, 2, 4, 1, 9, 7, 5, 2, 8, 3, 6, 3, 9, 2, 1, 7, 6, 4, 5, 8, 1, 7, 4, 5, 8, 9, 6, 2, 3, 8, 5, 6, 4, 2, 3, 9, 7, 1],
medium,[5, 0, 0, 0, 9, 7, 1, 0, 0, 2, 9, 0, 0, 0, 8, 0, 5, 6, 0, 0, 3, 4, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 6, 0, 0, 0, 0, 0, 8, 0, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 9, 8, 0, 0, 1, 2, 0, 5, 0, 0, 0, 4, 9, 0, 0, 8, 2, 6, 0, 0, 0, 1],[5, 8, 4, 6, 9, 7, 1, 2, 3, 2, 9, 7, 3, 1, 8, 4, 5, 6, 6, 1, 3, 4, 5, 2, 9, 7, 8, 8, 5, 2, 9, 4, 6, 3, 1, 7, 4, 6, 9, 7, 3, 1, 2, 8, 5, 7, 3, 1, 8, 2, 5, 6, 9, 4, 3, 4, 5, 1, 7, 9, 8, 6, 2, 1, 2, 6, 5, 8, 3, 7, 4, 9, 9, 7, 8, 2, 6, 4, 5, 3, 1],
hard,[0, 4, 0, 0, 0, 2, 6, 0, 7, 0, 0, 0, 6, 0, 9, 0, 3, 0, 6, 0, 1, 3, 0, 7, 0, 0, 0, 2, 0, 0, 5, 6, 0, 0, 0, 4, 0, 3, 7, 0, 8, 0, 2, 1, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 0, 0, 1, 0, 6, 8, 0, 9, 0, 2, 0, 7, 0, 8, 0, 0, 0, 8, 0, 9, 4, 0, 0, 0, 2, 0],[9, 4, 3, 8, 1, 2, 6, 5, 7, 7, 5, 2, 6, 4, 9, 1, 3, 8, 6, 8, 1, 3, 5, 7, 4, 9, 2, 2, 1, 8, 5, 6, 3, 9, 7, 4, 5, 3, 7, 9, 8, 4, 2, 1, 6, 4, 9, 6, 2, 7, 1, 3, 8, 5, 3, 7, 5, 1, 2, 6, 8, 4, 9, 1, 2, 4, 7, 9, 8, 5, 6, 3, 8, 6, 9, 4, 3, 5, 7, 2, 1],
hard,[0, 0, 0, 2, 0, 4, 3, 9, 5, 5, 4, 2, 8, 3, 0, 6, 7, 0, 0, 0, 9, 0, 7, 6, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 0, 4, 8, 0, 9, 0, 0, 0, 2, 7, 0, 6, 1, 8, 5, 3, 8, 9, 6, 3, 0, 2, 0, 0, 0],[6, 7, 8, 2, 1, 4, 3, 9, 5, 5, 4, 2, 8, 3, 9, 6, 7, 1, 1, 3, 9, 5, 7, 6, 4, 2, 8, 7, 1, 3, 6, 4, 5, 2, 8, 9, 2, 8, 4, 7, 9, 3, 5, 1, 6, 9, 6, 5, 1, 2, 8, 7, 3, 4, 3, 5, 1, 4, 8, 7, 9, 6, 2, 4, 2, 7, 9, 6, 1, 8, 5, 3, 8, 9, 6, 3, 5, 2, 1, 4, 7],
easy,[0, 0, 0, 3, 6, 1, 0, 8, 0, 0, 7, 1, 0, 0, 0, 3, 0, 0, 6, 8, 0, 0, 5, 7, 0, 0, 0, 9, 0, 2, 6, 0, 0, 8, 0, 3, 0, 1, 0, 8, 0, 3, 0, 9, 0, 3, 0, 8, 0, 0, 9, 7, 0, 2, 0, 0, 0, 5, 3, 0, 0, 2, 8, 0, 0, 5, 0, 0, 0, 6, 3, 0, 0, 3, 0, 9, 1, 2, 0, 0, 0],[4, 5, 9, 3, 6, 1, 2, 8, 7, 2, 7, 1, 4, 9, 8, 3, 6, 5, 6, 8, 3, 2, 5, 7, 9, 4, 1, 9, 4, 2, 6, 7, 5, 8, 1, 3, 5, 1, 7, 8, 2, 3, 4, 9, 6, 3, 6, 8, 1, 4, 9, 7, 5, 2, 7, 9, 4, 5, 3, 6, 1, 2, 8, 1, 2, 5, 7, 8, 4, 6, 3, 9, 8, 3, 6, 9, 1, 2, 5, 7, 4],
medium,[3, 0, 5, 1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 3, 8, 5, 0, 0, 8, 0, 7, 3, 5, 0, 0, 0, 2, 0, 5, 0, 4, 0, 7, 0, 9, 0, 6, 0, 0, 0, 8, 2, 1, 0, 5, 0, 0, 1, 5, 2, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 9, 3, 0, 7],[3, 8, 5, 1, 4, 6, 7, 2, 9, 7, 1, 4, 2, 9, 5, 6, 3, 8, 2, 6, 9, 7, 3, 8, 5, 1, 4, 8, 9, 7, 3, 5, 1, 4, 6, 2, 1, 5, 2, 4, 6, 7, 8, 9, 3, 6, 4, 3, 9, 8, 2, 1, 7, 5, 4, 7, 1, 5, 2, 3, 9, 8, 6, 9, 3, 6, 8, 7, 4, 2, 5, 1, 5, 2, 8, 6, 1, 9, 3, 4, 7],
hard,[0, 0, 0, 0, 8, 7, 1, 0, 0, 0, 5, 3, 0, 0, 2, 0, 7, 9, 0, 1, 0, 0, 0, 0, 8, 0, 4, 4, 9, 1, 0, 2, 3, 0, 6, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 3, 0, 5, 4, 0, 9, 1, 2, 9, 0, 5, 0, 0, 0, 0, 4, 0, 1, 7, 0, 6, 0, 0, 2, 9, 0, 0, 0, 6, 2, 5, 0, 0, 0, 0],[2, 6, 4, 9, 8, 7, 1, 5, 3, 8, 5, 3, 4, 1, 2, 6, 7, 9, 7, 1, 9, 3, 6, 5, 8, 2, 4, 4, 9, 1, 7, 2, 3, 5, 6, 8, 5, 8, 2, 1, 9, 6, 4, 3, 7, 6, 3, 7, 5, 4, 8, 9, 1, 2, 9, 2, 5, 8, 7, 1, 3, 4, 6, 1, 7, 8, 6, 3, 4, 2, 9, 5, 3, 4, 6, 2, 5, 9, 7, 8, 1],
easy,[0, 0, 1, 9, 0, 0, 4, 0, 0, 6, 0, 0, 0, 7, 0, 1, 0, 0, 0, 2, 9, 6, 8, 0, 3, 0, 5, 0, 0, 2, 0, 4, 9, 0, 0, 7, 0, 0, 6, 0, 0, 0, 8, 0, 0, 7, 0, 0, 1, 6, 0, 9, 0, 0, 9, 0, 7, 0, 1, 5, 2, 3, 0, 0, 0, 5, 0, 2, 0, 0, 0, 1, 0, 0, 3, 0, 0, 8, 5, 0, 0],[5, 7, 1, 9, 3, 2, 4, 8, 6, 6, 3, 8, 5, 7, 4, 1, 2, 9, 4, 2, 9, 6, 8, 1, 3, 7, 5, 3, 5, 2, 8, 4, 9, 6, 1, 7, 1, 9, 6, 2, 5, 7, 8, 4, 3, 7, 8, 4, 1, 6, 3, 9, 5, 2, 9, 6, 7, 4, 1, 5, 2, 3, 8, 8, 4, 5, 3, 2, 6, 7, 9, 1, 2, 1, 3, 7, 9, 8, 5, 6, 4],
medium,[2, 0, 6, 7, 3, 0, 0, 0, 1, 0, 0, 0, 0, 6, 0, 5, 0, 7, 0, 8, 0, 0, 0, 1, 0, 3, 0, 4, 0, 1, 6, 8, 0, 0, 7, 0, 0, 7, 0, 1, 0, 3, 0, 5, 0, 0, 3, 0, 0, 7, 9, 2, 0, 4, 0, 1, 0, 4, 0, 0, 0, 8, 0, 7, 0, 9, 0, 1, 0, 0, 0, 0, 8, 0, 0, 0, 5, 7, 1, 0, 9],[2, 4, 6, 7, 3, 5, 8, 9, 1, 1, 9, 3, 8, 6, 4, 5, 2, 7, 5, 8, 7, 9, 2, 1, 4, 3, 6, 4, 5, 1, 6, 8, 2, 9, 7, 3, 9, 7, 2, 1, 4, 3, 6, 5, 8, 6, 3, 8, 5, 7, 9, 2, 1, 4, 3, 1, 5, 4, 9, 6, 7, 8, 2, 7, 6, 9, 2, 1, 8, 3, 4, 5, 8, 2, 4, 3, 5, 7, 1, 6, 9],
easy,[0, 0, 0, 0, 7, 8, 4, 5, 0, 9, 0, 7, 5, 3, 0, 0, 8, 0, 4, 0, 8, 9, 0, 0, 0, 0, 0, 0, 8, 5, 0, 0, 0, 0, 3, 4, 0, 0, 1, 0, 0, 0, 8, 0, 0, 2, 4, 0, 0, 0, 0, 6, 7, 0, 0, 0, 0, 0, 0, 2, 7, 0, 8, 0, 3, 0, 0, 1, 9, 5, 0, 6, 0, 1, 2, 7, 5, 0, 0, 0, 0],[1, 2, 3, 6, 7, 8, 4, 5, 9, 9, 6, 7, 5, 3, 4, 2, 8, 1, 4, 5, 8, 9, 2, 1, 3, 6, 7, 6, 8, 5, 2, 9, 7, 1, 3, 4, 3, 7, 1, 4, 6, 5, 8, 9, 2, 2, 4, 9, 1, 8, 3, 6, 7, 5, 5, 9, 6, 3, 4, 2, 7, 1, 8, 7, 3, 4, 8, 1, 9, 5, 2, 6, 8, 1, 2, 7, 5, 6, 9, 4, 3],
medium,[8, 0, 0, 9, 5, 7, 0, 0, 1, 0, 0, 7, 0, 0, 0, 8, 9, 0, 6, 2, 9, 0, 0, 4, 0, 0, 0, 0, 1, 0, 4, 0, 0, 7, 3, 0, 4, 0, 6, 0, 0, 0, 9, 0, 5, 0, 7, 8, 0, 0, 1, 0, 4, 0, 0, 0, 0, 2, 0, 0, 3, 8, 6, 0, 6, 5, 0, 0, 0, 1, 0, 0, 2, 0, 0, 3, 9, 6, 0, 0, 7],[8, 4, 3, 9, 5, 7, 2, 6, 1, 1, 5, 7, 6, 2, 3, 8, 9, 4, 6, 2, 9, 1, 8, 4, 5, 7, 3, 5, 1, 2, 4, 6, 9, 7, 3, 8, 4, 3, 6, 8, 7, 2, 9, 1, 5, 9, 7, 8, 5, 3, 1, 6, 4, 2, 7, 9, 4, 2, 1, 5, 3, 8, 6, 3, 6, 5, 7, 4, 8, 1, 2, 9, 2, 8, 1, 3, 9, 6, 4, 5, 7],
easy,[0, 4, 9, 0, 0, 0, 0, 1, 8, 0, 0, 0, 0, 2, 0, 5, 0, 0, 7, 3, 5, 0, 0, 4, 6, 0, 9, 0, 0, 0, 0, 6, 0, 8, 9, 0, 8, 0, 0, 1, 9, 2, 0, 0, 5, 0, 9, 4, 0, 5, 0, 0, 0, 0, 9, 0, 3, 5, 0, 0, 7, 4, 6, 0, 0, 6, 0, 3, 0, 0, 0, 0, 1, 7, 0, 0, 0, 0, 2, 5, 0],[2, 4, 9, 6, 7, 5, 3, 1, 8, 6, 8, 1, 3, 2, 9, 5, 7, 4, 7, 3, 5, 8, 1, 4, 6, 2, 9, 5, 1, 2, 4, 6, 3, 8, 9, 7, 8, 6, 7, 1, 9, 2, 4, 3, 5, 3, 9, 4, 7, 5, 8, 1, 6, 2, 9, 2, 3, 5, 8, 1, 7, 4, 6, 4, 5, 6, 2, 3, 7, 9, 8, 1, 1, 7, 8, 9, 4, 6, 2, 5, 3],
hard,[5, 0, 8, 9, 0, 0, 1, 3, 0, 0, 6, 0, 7, 0, 0, 4, 5, 0, 0, 9, 7, 0, 5, 0, 8, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 3, 0, 0, 8, 7, 5, 0, 0, 2, 0, 0, 0, 0, 6, 0, 5, 0, 0, 0, 0, 1, 0, 9, 0, 7, 6, 0, 0, 4, 2, 0, 0, 7, 0, 1, 0, 0, 7, 5, 0, 0, 4, 2, 0, 8],[5, 2, 8, 9, 4, 6, 1, 3, 7, 1, 6, 3, 7, 2, 8, 4, 5, 9, 4, 9, 7, 1, 5, 3, 8, 2, 6, 7, 5, 4, 2, 3, 9, 6, 8, 1, 3, 1, 6, 8, 7, 5, 9, 4, 2, 2, 8, 9, 4, 6, 1, 5, 7, 3, 8, 3, 1, 5, 9, 2, 7, 6, 4, 9, 4, 2, 6, 8, 7, 3, 1, 5, 6, 7, 5, 3, 1, 4, 2, 9, 8],
medium,[8, 9, 0, 6, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 6, 0, 5, 2, 0, 4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 4, 3, 0, 5, 7, 6, 0, 8, 2, 5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 0, 7, 1, 0, 3, 0, 0, 0, 0, 0, 0, 9, 5, 0, 0, 6, 2, 0, 1, 3],[8, 9, 5, 6, 4, 7, 3, 2, 1, 3, 1, 7, 9, 2, 8, 6, 4, 5, 2, 6, 4, 1, 3, 5, 9, 7, 8, 7, 2, 1, 4, 8, 3, 5, 6, 9, 4, 3, 9, 5, 7, 6, 1, 8, 2, 5, 8, 6, 2, 1, 9, 7, 3, 4, 6, 4, 2, 3, 9, 1, 8, 5, 7, 1, 7, 3, 8, 5, 4, 2, 9, 6, 9, 5, 8, 7, 6, 2, 4, 1, 3],
medium,[0, 0, 0, 9, 0, 0, 0, 0, 8, 0, 0, 0, 1, 8, 0, 4, 0, 2, 5, 8, 0, 2, 3, 6, 0, 9, 7, 0, 0, 0, 7, 2, 1, 9, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 2, 4, 6, 3, 0, 0, 0, 8, 2, 0, 6, 9, 4, 0, 7, 1, 4, 0, 3, 0, 1, 8, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0],[2, 3, 1, 9, 4, 7, 5, 6, 8, 6, 9, 7, 1, 8, 5, 4, 3, 2, 5, 8, 4, 2, 3, 6, 1, 9, 7, 3, 5, 8, 7, 2, 1, 9, 4, 6, 7, 4, 6, 8, 5, 9, 2, 1, 3, 9, 1, 2, 4, 6, 3, 7, 8, 5, 8, 2, 5, 6, 9, 4, 3, 7, 1, 4, 7, 3, 5, 1, 8, 6, 2, 9, 1, 6, 9, 3, 7, 2, 8, 5, 4],
hard,[0, 2, 0, 1, 0, 0, 0, 0, 6, 1, 6, 0, 0, 0, 0, 0, 9, 0, 3, 0, 5, 0, 6, 0, 7, 1, 0, 0, 5, 9, 7, 0, 8, 3, 4, 0, 0, 0, 0, 4, 0, 9, 0, 0, 0, 0, 3, 2, 6, 0, 1, 8, 7, 0, 0, 7, 1, 0, 9, 0, 4, 0, 3, 0, 4, 0, 0, 0, 0, 0, 6, 5, 2, 0, 0, 0, 0, 5, 0, 8, 0],[9, 2, 7, 1, 8, 4, 5, 3, 6, 1, 6, 4, 5, 7, 3, 2, 9, 8, 3, 8, 5, 9, 6, 2, 7, 1, 4, 6, 5, 9, 7, 2, 8, 3, 4, 1, 7, 1, 8, 4, 3, 9, 6, 5, 2, 4, 3, 2, 6, 5, 1, 8, 7, 9, 5, 7, 1, 8, 9, 6, 4, 2, 3, 8, 4, 3, 2, 1, 7, 9, 6, 5, 2, 9, 6, 3, 4, 5, 1, 8, 7],
medium,[0, 0, 0, 5, 0, 4, 9, 0, 0, 0, 0, 0, 0, 6, 7, 0, 4, 1, 6, 0, 0, 9, 0, 1, 3, 0, 8, 9, 0, 5, 0, 0, 0, 6, 2, 4, 0, 2, 0, 0, 0, 0, 0, 8, 0, 3, 4, 6, 0, 0, 0, 1, 0, 9, 4, 0, 7, 3, 0, 2, 0, 0, 5, 8, 5, 0, 7, 9, 0, 0, 0, 0, 0, 0, 2, 4, 0, 8, 0, 0, 0],[2, 1, 8, 5, 3, 4, 9, 6, 7, 5, 3, 9, 8, 6, 7, 2, 4, 1, 6, 7, 4, 9, 2, 1, 3, 5, 8, 9, 8, 5, 1, 7, 3, 6, 2, 4, 7, 2, 1, 6, 4, 9, 5, 8, 3, 3, 4, 6, 2, 8, 5, 1, 7, 9, 4, 6, 7, 3, 1, 2, 8, 9, 5, 8, 5, 3, 7, 9, 6, 4, 1, 2, 1, 9, 2, 4, 5, 8, 7, 3, 6],
hard,[0, 9, 4, 0, 7, 3, 0, 8, 6, 6, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 5, 0, 2, 0, 0, 9, 7, 6, 0, 0, 1, 7, 0, 0, 0, 3, 4, 0, 0, 6, 3, 7, 0, 0, 1, 0, 2, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 4, 9, 0, 0, 0, 1, 4, 5, 0, 8, 1, 0, 6, 7, 0],[1, 9, 4, 5, 7, 3, 2, 8, 6, 6, 3, 5, 9, 2, 8, 4, 1, 7, 2, 7, 8, 6, 4, 1, 9, 3, 5, 5, 4, 2, 1, 3, 9, 7, 6, 8, 8, 1, 7, 2, 6, 5, 3, 4, 9, 9, 6, 3, 7, 8, 4, 1, 5, 2, 7, 2, 1, 3, 5, 6, 8, 9, 4, 3, 8, 6, 4, 9, 7, 5, 2, 1, 4, 5, 9, 8, 1, 2, 6, 7, 3],
hard,[0, 6, 0, 0, 3, 0, 0, 8, 4, 8, 0, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7, 0, 0, 9, 0, 0, 7, 5, 8, 9, 0, 0, 0, 0, 2, 2, 4, 9, 8, 0, 3, 1, 7, 6, 1, 0, 0, 0, 0, 4, 5, 9, 8, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 5, 0, 0, 3, 0, 9, 6, 2, 0, 0, 4, 0, 0, 5, 0],[9, 6, 2, 1, 3, 5, 7, 8, 4, 8, 7, 5, 4, 9, 2, 6, 1, 3, 3, 1, 4, 7, 8, 6, 9, 2, 5, 7, 5, 8, 9, 6, 1, 4, 3, 2, 2, 4, 9, 8, 5, 3, 1, 7, 6, 1, 3, 6, 2, 7, 4, 5, 9, 8, 5, 9, 3, 6, 1, 8, 2, 4, 7, 4, 8, 1, 5, 2, 7, 3, 6, 9, 6, 2, 7, 3, 4, 9, 8, 5, 1],
medium,[0, 9, 0, 2, 0, 0, 5, 0, 0, 6, 0, 0, 8, 0, 3, 1, 2, 7, 8, 0, 2, 0, 0, 0, 0, 0, 6, 0, 8, 0, 7, 5, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 4, 2, 0, 5, 0, 2, 0, 0, 0, 0, 0, 3, 0, 5, 3, 6, 5, 4, 0, 1, 0, 0, 9, 0, 0, 7, 0, 0, 5, 0, 1, 0],[7, 9, 1, 2, 6, 4, 5, 3, 8, 6, 5, 4, 8, 9, 3, 1, 2, 7, 8, 3, 2, 5, 1, 7, 4, 9, 6, 4, 8, 3, 7, 5, 9, 2, 6, 1, 5, 2, 6, 1, 3, 8, 9, 7, 4, 1, 7, 9, 6, 4, 2, 8, 5, 3, 2, 1, 8, 9, 7, 6, 3, 4, 5, 3, 6, 5, 4, 2, 1, 7, 8, 9, 9, 4, 7, 3, 8, 5, 6, 1, 2],
easy,[0, 0, 0, 8, 0, 7, 0, 9, 2, 0, 0, 2, 0, 0, 6, 0, 0, 4, 8, 4, 0, 0, 0, 1, 0, 3, 0, 0, 3, 7, 0, 1, 0, 0, 5, 0, 6, 0, 0, 4, 5, 8, 0, 0, 9, 0, 9, 0, 0, 7, 0, 4, 6, 0, 0, 7, 0, 1, 0, 0, 0, 2, 3, 3, 0, 0, 7, 0, 0, 9, 0, 0, 2, 1, 0, 3, 0, 5, 0, 0, 0],[1, 6, 3, 8, 4, 7, 5, 9, 2, 7, 5, 2, 9, 3, 6, 1, 8, 4, 8, 4, 9, 5, 2, 1, 7, 3, 6, 4, 3, 7, 6, 1, 9, 2, 5, 8, 6, 2, 1, 4, 5, 8, 3, 7, 9, 5, 9, 8, 2, 7, 3, 4, 6, 1, 9, 7, 5, 1, 8, 4, 6, 2, 3, 3, 8, 4, 7, 6, 2, 9, 1, 5, 2, 1, 6, 3, 9, 5, 8, 4, 7],
medium,[4, 1, 0, 2, 0, 5, 0, 0, 0, 6, 0, 8, 0, 0, 1, 0, 4, 0, 0, 7, 3, 4, 0, 6, 1, 0, 0, 0, 2, 6, 0, 0, 0, 8, 9, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 3, 4, 0, 0, 0, 6, 7, 0, 0, 0, 1, 9, 0, 4, 7, 2, 0, 0, 4, 0, 8, 0, 0, 5, 0, 1, 0, 0, 0, 7, 0, 3, 0, 6, 4],[4, 1, 9, 2, 7, 5, 3, 8, 6, 6, 5, 8, 3, 9, 1, 2, 4, 7, 2, 7, 3, 4, 8, 6, 1, 5, 9, 1, 2, 6, 5, 4, 7, 8, 9, 3, 7, 9, 5, 6, 3, 8, 4, 1, 2, 8, 3, 4, 1, 2, 9, 6, 7, 5, 3, 6, 1, 9, 5, 4, 7, 2, 8, 9, 4, 7, 8, 6, 2, 5, 3, 1, 5, 8, 2, 7, 1, 3, 9, 6, 4],
medium,[0, 0, 0, 9, 6, 5, 7, 0, 3, 1, 0, 9, 0, 4, 0, 0, 6, 2, 3, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 9, 9, 2, 0, 0, 8, 0, 3, 0, 4, 4, 0, 6, 3, 5, 9, 0, 0, 0],[8, 4, 2, 9, 6, 5, 7, 1, 3, 1, 7, 9, 8, 4, 3, 5, 6, 2, 3, 6, 5, 1, 2, 7, 9, 4, 8, 2, 9, 4, 6, 7, 1, 8, 3, 5, 5, 3, 7, 4, 9, 8, 1, 2, 6, 6, 1, 8, 5, 3, 2, 4, 9, 7, 7, 5, 3, 2, 1, 4, 6, 8, 9, 9, 2, 1, 7, 8, 6, 3, 5, 4, 4, 8, 6, 3, 5, 9, 2, 7, 1],
hard,[0, 8, 5, 0, 0, 0, 0, 7, 0, 4, 7, 3, 0, 0, 8, 0, 2, 0, 9, 0, 0, 7, 0, 0, 4, 8, 0, 0, 6, 0, 3, 0, 4, 0, 9, 0, 0, 0, 9, 0, 1, 0, 8, 0, 0, 0, 3, 0, 8, 0, 9, 0, 1, 0, 0, 9, 8, 0, 0, 3, 0, 0, 7, 0, 2, 0, 1, 0, 0, 9, 4, 6, 0, 5, 0, 0, 0, 0, 2, 3, 0],[2, 8, 5, 6, 4, 1, 3, 7, 9, 4, 7, 3, 5, 9, 8, 6, 2, 1, 9, 1, 6, 7, 3, 2, 4, 8, 5, 8, 6, 1, 3, 5, 4, 7, 9, 2, 5, 4, 9, 2, 1, 7, 8, 6, 3, 7, 3, 2, 8, 6, 9, 5, 1, 4, 6, 9, 8, 4, 2, 3, 1, 5, 7, 3, 2, 7, 1, 8, 5, 9, 4, 6, 1, 5, 4, 9, 7, 6, 2, 3, 8],
medium,[0, 0, 0, 0, 0, 6, 0, 2, 0, 3, 6, 0, 0, 2, 0, 9, 0, 0, 2, 0, 9, 1, 0, 7, 3, 0, 0, 4, 7, 5, 0, 8, 0, 0, 0, 1, 0, 0, 0, 5, 1, 4, 0, 0, 0, 8, 0, 0, 0, 6, 0, 5, 4, 9, 0, 0, 6, 9, 0, 2, 4, 0, 5, 0, 0, 8, 0, 7, 0, 0, 9, 3, 0, 3, 0, 4, 0, 0, 0, 0, 0],[1, 5, 4, 3, 9, 6, 7, 2, 8, 3, 6, 7, 8, 2, 5, 9, 1, 4, 2, 8, 9, 1, 4, 7, 3, 5, 6, 4, 7, 5, 2, 8, 9, 6, 3, 1, 6, 9, 3, 5, 1, 4, 8, 7, 2, 8, 2, 1, 7, 6, 3, 5, 4, 9, 7, 1, 6, 9, 3, 2, 4, 8, 5, 5, 4, 8, 6, 7, 1, 2, 9, 3, 9, 3, 2, 4, 5, 8, 1, 6, 7],
hard,[4, 0, 6, 5, 0, 0, 0, 7, 9, 0, 1, 3, 0, 0, 0, 0, 0, 8, 0, 8, 0, 4, 1, 0, 0, 0, 0, 2, 0, 0, 7, 5, 0, 3, 8, 6, 0, 3, 0, 0, 0, 0, 0, 5, 0, 8, 6, 5, 0, 3, 9, 0, 0, 7, 0, 0, 0, 0, 9, 5, 0, 2, 0, 3, 0, 0, 0, 0, 0, 6, 9, 0, 6, 5, 0, 0, 0, 2, 8, 0, 4],[4, 2, 6, 5, 8, 3, 1, 7, 9, 5, 1, 3, 9, 2, 7, 4, 6, 8, 9, 8, 7, 4, 1, 6, 5, 3, 2, 2, 9, 1, 7, 5, 4, 3, 8, 6, 7, 3, 4, 2, 6, 8, 9, 5, 1, 8, 6, 5, 1, 3, 9, 2, 4, 7, 1, 4, 8, 6, 9, 5, 7, 2, 3, 3, 7, 2, 8, 4, 1, 6, 9, 5, 6, 5, 9, 3, 7, 2, 8, 1, 4],
easy,[0, 7, 0, 9, 1, 0, 3, 4, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 2, 0, 6, 0, 0, 1, 0, 9, 4, 0, 3, 2, 1, 0, 0, 5, 0, 0, 9, 7, 8, 0, 9, 6, 0, 7, 0, 0, 2, 0, 6, 0, 7, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 2, 3, 0, 9, 1, 0, 6, 0],[5, 7, 2, 9, 1, 6, 3, 4, 8, 9, 8, 1, 2, 3, 4, 7, 5, 6, 3, 4, 6, 8, 7, 5, 1, 2, 9, 6, 5, 7, 1, 2, 9, 4, 8, 3, 2, 1, 4, 3, 5, 8, 6, 9, 7, 8, 3, 9, 6, 4, 7, 5, 1, 2, 4, 6, 5, 7, 8, 2, 9, 3, 1, 1, 9, 8, 4, 6, 3, 2, 7, 5, 7, 2, 3, 5, 9, 1, 8, 6, 4],
medium,[0, 0, 0, 0, 0, 8, 9, 0, 0, 1, 0, 0, 2, 0, 0, 6, 7, 3, 0, 2, 0, 0, 3, 0, 0, 8, 4, 7, 0, 0, 3, 2, 5, 0, 0, 0, 6, 5, 8, 0, 0, 0, 3, 2, 9, 0, 0, 0, 8, 6, 9, 0, 0, 1, 2, 9, 0, 0, 5, 0, 0, 3, 0, 5, 3, 6, 0, 0, 2, 0, 0, 7, 0, 0, 1, 6, 0, 0, 0, 0, 0],[4, 6, 3, 5, 7, 8, 9, 1, 2, 1, 8, 5, 2, 9, 4, 6, 7, 3, 9, 2, 7, 1, 3, 6, 5, 8, 4, 7, 1, 9, 3, 2, 5, 4, 6, 8, 6, 5, 8, 4, 1, 7, 3, 2, 9, 3, 4, 2, 8, 6, 9, 7, 5, 1, 2, 9, 4, 7, 5, 1, 8, 3, 6, 5, 3, 6, 9, 8, 2, 1, 4, 7, 8, 7, 1, 6, 4, 3, 2, 9, 5],
hard,[0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 9, 6, 8, 0, 3, 1, 5, 0, 0, 3, 7, 0, 0, 0, 8, 9, 0, 4, 0, 0, 6, 7, 0, 9, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 3, 0, 2, 9, 0, 0, 6, 0, 4, 6, 0, 0, 0, 9, 2, 0, 0, 9, 5, 7, 0, 2, 3, 6, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0],[5, 8, 4, 9, 3, 1, 7, 2, 6, 2, 7, 9, 6, 8, 4, 3, 1, 5, 6, 1, 3, 7, 5, 2, 4, 8, 9, 8, 4, 2, 1, 6, 7, 5, 9, 3, 1, 9, 6, 3, 4, 5, 8, 7, 2, 7, 3, 5, 2, 9, 8, 1, 6, 4, 4, 6, 1, 5, 7, 9, 2, 3, 8, 9, 5, 7, 8, 2, 3, 6, 4, 1, 3, 2, 8, 4, 1, 6, 9, 5, 7],
hard,[0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 9, 5, 3, 0, 7, 4, 0, 9, 0, 7, 0, 5, 0, 6, 2, 0, 7, 9, 0, 0, 0, 0, 0, 3, 6, 4, 5, 0, 8, 9, 7, 2, 0, 0, 0, 0, 0, 7, 8, 0, 4, 5, 0, 1, 0, 2, 0, 7, 0, 8, 9, 0, 6, 1, 8, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0],[7, 5, 3, 8, 6, 1, 4, 2, 9, 6, 2, 8, 4, 9, 5, 3, 1, 7, 4, 1, 9, 3, 7, 2, 5, 8, 6, 2, 8, 7, 9, 4, 6, 1, 5, 3, 3, 6, 4, 5, 1, 8, 9, 7, 2, 1, 9, 5, 2, 3, 7, 8, 6, 4, 5, 4, 1, 6, 2, 3, 7, 9, 8, 9, 7, 6, 1, 8, 4, 2, 3, 5, 8, 3, 2, 7, 5, 9, 6, 4, 1],
hard,[6, 4, 0, 8, 0, 9, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 8, 9, 9, 8, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 5, 0, 0, 8, 6, 5, 4, 9, 0, 0, 4, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 1, 7, 2, 3, 0, 0, 7, 0, 0, 0, 0, 0, 0, 4, 1, 0, 2, 0, 9, 3],[6, 4, 7, 8, 2, 9, 5, 3, 1, 1, 2, 5, 3, 6, 7, 4, 8, 9, 9, 8, 3, 5, 4, 1, 7, 2, 6, 7, 9, 6, 2, 1, 8, 3, 4, 5, 3, 1, 8, 6, 5, 4, 9, 7, 2, 4, 5, 2, 7, 9, 3, 1, 6, 8, 8, 6, 9, 4, 3, 5, 2, 1, 7, 2, 3, 1, 9, 7, 6, 8, 5, 4, 5, 7, 4, 1, 8, 2, 6, 9, 3],
easy,[6, 0, 0, 5, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 7, 0, 0, 5, 0, 0, 7, 2, 4, 0, 3, 8, 0, 0, 0, 1, 0, 9, 0, 9, 2, 4, 0, 0, 0, 3, 1, 8, 0, 1, 0, 9, 0, 0, 0, 2, 6, 0, 6, 8, 1, 0, 0, 5, 0, 0, 2, 0, 3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 4],[6, 7, 9, 5, 4, 2, 1, 8, 3, 1, 4, 2, 3, 9, 8, 6, 5, 7, 8, 3, 5, 6, 1, 7, 2, 4, 9, 3, 8, 6, 4, 2, 1, 7, 9, 5, 9, 2, 4, 7, 5, 6, 3, 1, 8, 5, 1, 7, 9, 8, 3, 4, 2, 6, 4, 6, 8, 1, 7, 9, 5, 3, 2, 2, 5, 3, 8, 6, 4, 9, 7, 1, 7, 9, 1, 2, 3, 5, 8, 6, 4],
easy,[0, 0, 0, 0, 7, 4, 0, 9, 6, 7, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 0, 0, 1, 8, 2, 0, 0, 1, 0, 7, 9, 4, 0, 8, 0, 0, 2, 6, 0, 0, 5, 0, 0, 4, 1, 0, 0, 4, 0, 2, 1, 5, 0, 7, 0, 0, 3, 4, 8, 0, 0, 1, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 6, 1, 0, 7, 9, 0, 0, 0, 0],[8, 2, 1, 5, 7, 4, 3, 9, 6, 7, 4, 6, 2, 3, 9, 1, 8, 5, 9, 3, 5, 6, 1, 8, 2, 7, 4, 1, 5, 7, 9, 4, 6, 8, 3, 2, 2, 6, 8, 3, 5, 7, 9, 4, 1, 3, 9, 4, 8, 2, 1, 5, 6, 7, 5, 7, 3, 4, 8, 2, 6, 1, 9, 4, 8, 9, 1, 6, 5, 7, 2, 3, 6, 1, 2, 7, 9, 3, 4, 5, 8],
medium,[0, 4, 0, 9, 0, 6, 5, 0, 0, 5, 7, 2, 8, 0, 0, 0, 0, 0, 6, 0, 9, 0, 0, 0, 4, 0, 7, 2, 6, 0, 0, 4, 0, 3, 9, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 1, 7, 0, 9, 0, 0, 4, 5, 4, 0, 5, 0, 0, 0, 7, 0, 9, 0, 0, 0, 0, 0, 7, 2, 5, 3, 0, 0, 6, 5, 0, 9, 0, 8, 0],[1, 4, 3, 9, 7, 6, 5, 2, 8, 5, 7, 2, 8, 3, 4, 9, 1, 6, 6, 8, 9, 2, 5, 1, 4, 3, 7, 2, 6, 8, 7, 4, 5, 3, 9, 1, 9, 5, 4, 1, 8, 3, 6, 7, 2, 3, 1, 7, 6, 9, 2, 8, 4, 5, 4, 2, 5, 3, 1, 8, 7, 6, 9, 8, 9, 1, 4, 6, 7, 2, 5, 3, 7, 3, 6, 5, 2, 9, 1, 8, 4],
hard,[3, 8, 0, 4, 5, 1, 7, 9, 0, 0, 9, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, 9, 8, 0, 0, 5, 9, 6, 0, 0, 1, 7, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 2, 0, 0, 5, 1, 6, 4, 2, 0, 3, 7],[3, 8, 2, 4, 5, 1, 7, 9, 6, 1, 9, 5, 3, 6, 7, 2, 4, 8, 6, 7, 4, 9, 2, 8, 1, 5, 3, 5, 1, 6, 2, 7, 4, 3, 8, 9, 8, 2, 3, 5, 9, 6, 4, 7, 1, 7, 4, 9, 8, 1, 3, 5, 6, 2, 2, 6, 8, 7, 3, 5, 9, 1, 4, 4, 3, 7, 1, 8, 9, 6, 2, 5, 9, 5, 1, 6, 4, 2, 8, 3, 7],
easy,[0, 0, 0, 3, 0, 6, 4, 0, 9, 1, 3, 0, 0, 0, 5, 2, 8, 0, 0, 0, 9, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 8, 4, 1, 0, 0, 9, 0, 0, 6, 0, 2, 0, 0, 4, 0, 0, 7, 9, 5, 0, 0, 0, 6, 0, 0, 0, 0, 7, 0, 9, 0, 0, 0, 9, 4, 1, 0, 0, 0, 3, 2, 3, 0, 5, 2, 0, 9, 0, 0, 0],[8, 7, 2, 3, 1, 6, 4, 5, 9, 1, 3, 6, 4, 9, 5, 2, 8, 7, 5, 4, 9, 8, 2, 7, 6, 1, 3, 2, 6, 3, 7, 8, 4, 1, 9, 5, 9, 5, 1, 6, 3, 2, 8, 7, 4, 4, 8, 7, 9, 5, 1, 3, 2, 6, 6, 2, 8, 5, 7, 3, 9, 4, 1, 7, 9, 4, 1, 6, 8, 5, 3, 2, 3, 1, 5, 2, 4, 9, 7, 6, 8],
easy,[4, 0, 8, 0, 9, 5, 0, 0, 0, 9, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 7, 1, 0, 0, 9, 0, 2, 4, 1, 0, 0, 9, 8, 0, 1, 0, 0, 9, 0, 8, 0, 0, 7, 0, 8, 9, 0, 0, 3, 1, 4, 0, 8, 0, 0, 7, 3, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 2, 5, 0, 3, 0, 8],[4, 7, 8, 3, 9, 5, 2, 6, 1, 9, 3, 1, 6, 8, 2, 7, 5, 4, 2, 5, 6, 4, 7, 1, 8, 3, 9, 5, 2, 4, 1, 6, 7, 9, 8, 3, 1, 6, 3, 9, 4, 8, 5, 2, 7, 7, 8, 9, 5, 2, 3, 1, 4, 6, 8, 4, 2, 7, 3, 9, 6, 1, 5, 3, 9, 5, 8, 1, 6, 4, 7, 2, 6, 1, 7, 2, 5, 4, 3, 9, 8],
medium,[0, 7, 0, 4, 6, 0, 3, 0, 0, 0, 0, 0, 8, 3, 5, 0, 0, 7, 2, 0, 0, 0, 1, 0, 4, 0, 8, 0, 2, 4, 0, 0, 6, 0, 0, 5, 0, 1, 0, 0, 0, 0, 0, 4, 0, 9, 0, 0, 5, 0, 0, 1, 2, 0, 3, 0, 7, 0, 4, 0, 0, 0, 2, 1, 0, 0, 6, 5, 3, 0, 0, 0, 0, 0, 9, 0, 8, 7, 0, 1, 0],[8, 7, 5, 4, 6, 2, 3, 9, 1, 4, 9, 1, 8, 3, 5, 2, 6, 7, 2, 6, 3, 7, 1, 9, 4, 5, 8, 7, 2, 4, 1, 9, 6, 8, 3, 5, 5, 1, 6, 3, 2, 8, 7, 4, 9, 9, 3, 8, 5, 7, 4, 1, 2, 6, 3, 5, 7, 9, 4, 1, 6, 8, 2, 1, 8, 2, 6, 5, 3, 9, 7, 4, 6, 4, 9, 2, 8, 7, 5, 1, 3],
hard,[0, 1, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 3, 9, 0, 0, 0, 0, 5, 0, 0, 1, 0, 7, 9, 0, 4, 8, 3, 0, 7, 0, 0, 0, 0, 6, 2, 0, 6, 8, 5, 1, 7, 0, 3, 7, 0, 0, 0, 0, 3, 0, 1, 8, 6, 0, 5, 2, 0, 4, 0, 0, 1, 0, 0, 0, 0, 3, 8, 0, 0, 0, 0, 7, 0, 6, 0, 0, 0, 2, 0],[9, 1, 3, 5, 4, 2, 8, 6, 7, 4, 8, 7, 3, 9, 6, 1, 5, 2, 5, 6, 2, 1, 8, 7, 9, 3, 4, 8, 3, 1, 7, 2, 9, 5, 4, 6, 2, 4, 6, 8, 5, 1, 7, 9, 3, 7, 5, 9, 4, 6, 3, 2, 1, 8, 6, 9, 5, 2, 7, 4, 3, 8, 1, 1, 2, 4, 9, 3, 8, 6, 7, 5, 3, 7, 8, 6, 1, 5, 4, 2, 9],
hard,[6, 4, 0, 0, 7, 0, 0, 2, 5, 0, 0, 0, 0, 8, 0, 0, 0, 3, 5, 0, 0, 0, 4, 6, 1, 9, 0, 0, 9, 0, 0, 0, 0, 4, 0, 1, 0, 0, 1, 3, 2, 4, 9, 0, 0, 4, 0, 6, 0, 0, 0, 0, 5, 0, 0, 1, 8, 5, 3, 0, 0, 0, 4, 9, 0, 0, 0, 1, 0, 0, 0, 0, 3, 7, 0, 0, 6, 0, 0, 1, 9],[6, 4, 9, 1, 7, 3, 8, 2, 5, 1, 2, 7, 9, 8, 5, 6, 4, 3, 5, 8, 3, 2, 4, 6, 1, 9, 7, 7, 9, 2, 6, 5, 8, 4, 3, 1, 8, 5, 1, 3, 2, 4, 9, 7, 6, 4, 3, 6, 7, 9, 1, 2, 5, 8, 2, 1, 8, 5, 3, 9, 7, 6, 4, 9, 6, 5, 4, 1, 7, 3, 8, 2, 3, 7, 4, 8, 6, 2, 5, 1, 9],
hard,[0, 4, 0, 5, 0, 7, 0, 0, 0, 0, 2, 1, 9, 0, 4, 6, 0, 0, 5, 0, 9, 8, 6, 0, 0, 0, 0, 3, 6, 5, 0, 0, 0, 4, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 4, 0, 0, 0, 2, 6, 5, 0, 0, 0, 0, 4, 8, 1, 0, 7, 0, 0, 7, 3, 0, 2, 5, 8, 0, 0, 0, 0, 1, 0, 5, 0, 3, 0],[6, 4, 8, 5, 2, 7, 3, 1, 9, 7, 2, 1, 9, 3, 4, 6, 5, 8, 5, 3, 9, 8, 6, 1, 7, 4, 2, 3, 6, 5, 2, 8, 9, 4, 7, 1, 1, 7, 2, 4, 5, 6, 8, 9, 3, 8, 9, 4, 7, 1, 3, 2, 6, 5, 9, 5, 3, 6, 4, 8, 1, 2, 7, 4, 1, 7, 3, 9, 2, 5, 8, 6, 2, 8, 6, 1, 7, 5, 9, 3, 4],
easy,[4, 3, 1, 5, 0, 0, 8, 6, 0, 2, 7, 0, 0, 0, 0, 0, 9, 0, 0, 9, 8, 0, 2, 3, 0, 0, 0, 7, 5, 0, 1, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 9, 0, 5, 3, 0, 0, 0, 6, 7, 0, 9, 1, 0, 0, 1, 0, 0, 0, 0, 0, 4, 8, 0, 4, 7, 0, 0, 1, 2, 3, 6],[4, 3, 1, 5, 9, 7, 8, 6, 2, 2, 7, 5, 8, 1, 6, 3, 9, 4, 6, 9, 8, 4, 2, 3, 5, 7, 1, 7, 5, 3, 1, 4, 2, 6, 8, 9, 1, 6, 9, 3, 5, 8, 4, 2, 7, 8, 2, 4, 7, 6, 9, 1, 5, 3, 3, 8, 2, 6, 7, 4, 9, 1, 5, 9, 1, 6, 2, 3, 5, 7, 4, 8, 5, 4, 7, 9, 8, 1, 2, 3, 6],
easy,[0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 5, 0, 0, 0, 4, 9, 8, 2, 0, 0, 0, 8, 2, 0, 3, 4, 0, 1, 2, 0, 0, 0, 3, 0, 0, 0, 8, 3, 7, 0, 1, 0, 6, 5, 4, 0, 0, 0, 6, 0, 0, 0, 2, 3, 0, 1, 2, 0, 5, 6, 0, 0, 0, 4, 9, 8, 3, 0, 0, 0, 6, 0, 5, 0, 0, 0, 0, 0, 4, 0, 0],[2, 8, 4, 1, 3, 9, 5, 7, 6, 3, 5, 1, 7, 6, 4, 9, 8, 2, 6, 7, 9, 8, 2, 5, 3, 4, 1, 1, 2, 6, 5, 4, 3, 7, 9, 8, 8, 3, 7, 9, 1, 2, 6, 5, 4, 9, 4, 5, 6, 8, 7, 1, 2, 3, 7, 1, 2, 4, 5, 6, 8, 3, 9, 4, 9, 8, 3, 7, 1, 2, 6, 5, 5, 6, 3, 2, 9, 8, 4, 1, 7],
medium,[0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 7, 0, 0, 5, 7, 0, 8, 0, 4, 2, 0, 9, 2, 0, 0, 0, 0, 1, 0, 3, 5, 8, 0, 0, 2, 6, 9, 0, 0, 4, 1, 4, 0, 5, 0, 0, 0, 0, 2, 3, 0, 8, 6, 0, 7, 0, 2, 1, 0, 0, 9, 0, 0, 0, 0, 5, 7, 0, 0, 0, 0, 4, 0, 0, 0, 0],[9, 8, 4, 7, 2, 6, 5, 1, 3, 6, 1, 2, 9, 5, 3, 7, 4, 8, 5, 7, 3, 8, 1, 4, 2, 6, 9, 2, 9, 6, 4, 7, 1, 8, 3, 5, 8, 3, 5, 2, 6, 9, 1, 7, 4, 1, 4, 7, 5, 3, 8, 6, 9, 2, 3, 5, 8, 6, 9, 7, 4, 2, 1, 4, 6, 9, 1, 8, 2, 3, 5, 7, 7, 2, 1, 3, 4, 5, 9, 8, 6],
medium,[0, 8, 6, 2, 7, 0, 0, 3, 0, 5, 2, 0, 8, 3, 0, 0, 0, 0, 0, 0, 7, 0, 4, 0, 2, 6, 0, 0, 9, 5, 6, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 9, 8, 5, 0, 0, 4, 3, 0, 5, 0, 6, 0, 0, 0, 0, 0, 0, 9, 2, 0, 4, 1, 0, 1, 0, 0, 6, 4, 7, 8, 0],[9, 8, 6, 2, 7, 1, 5, 3, 4, 5, 2, 4, 8, 3, 6, 9, 1, 7, 1, 3, 7, 9, 4, 5, 2, 6, 8, 4, 9, 5, 6, 8, 3, 1, 7, 2, 8, 6, 1, 5, 2, 7, 4, 9, 3, 3, 7, 2, 4, 1, 9, 8, 5, 6, 7, 4, 3, 1, 5, 8, 6, 2, 9, 6, 5, 8, 7, 9, 2, 3, 4, 1, 2, 1, 9, 3, 6, 4, 7, 8, 5],
easy,[0, 4, 0, 2, 3, 0, 0, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 8, 0, 0, 9, 1, 0, 0, 0, 1, 0, 9, 2, 4, 0, 6, 0, 3, 7, 0, 4, 0, 2, 5, 0, 4, 0, 6, 3, 8, 0, 1, 0, 0, 0, 5, 4, 0, 0, 7, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 7, 0, 0, 6, 8, 0, 2, 0],[1, 4, 8, 2, 3, 9, 6, 7, 5, 7, 9, 3, 5, 1, 6, 8, 4, 2, 2, 6, 5, 8, 7, 4, 9, 1, 3, 5, 8, 1, 7, 9, 2, 4, 3, 6, 9, 3, 7, 6, 4, 1, 2, 5, 8, 4, 2, 6, 3, 8, 5, 1, 9, 7, 8, 5, 4, 1, 2, 7, 3, 6, 9, 6, 1, 2, 9, 5, 3, 7, 8, 4, 3, 7, 9, 4, 6, 8, 5, 2, 1],
hard,[0, 0, 0, 1, 7, 6, 0, 8, 5, 0, 0, 0, 0, 0, 5, 0, 4, 7, 0, 5, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 9, 7, 0, 6, 1, 0, 0, 1, 5, 0, 2, 7, 0, 0, 9, 4, 0, 3, 6, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 9, 7, 0, 6, 1, 0, 7, 0, 0, 0, 0, 0, 2, 7, 0, 4, 5, 8, 0, 0, 0],[3, 9, 4, 1, 7, 6, 2, 8, 5, 1, 2, 6, 9, 8, 5, 3, 4, 7, 7, 5, 8, 2, 3, 4, 1, 9, 6, 5, 3, 2, 8, 9, 7, 4, 6, 1, 8, 6, 1, 5, 4, 2, 7, 3, 9, 9, 4, 7, 3, 6, 1, 5, 2, 8, 4, 8, 5, 6, 1, 3, 9, 7, 2, 6, 1, 3, 7, 2, 9, 8, 5, 4, 2, 7, 9, 4, 5, 8, 6, 1, 3],
easy,[0, 3, 5, 2, 0, 0, 1, 0, 8, 7, 0, 0, 9, 4, 0, 0, 0, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 5, 4, 1, 0, 8, 0, 7, 0, 1, 0, 2, 0, 5, 0, 4, 1, 7, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 5, 7, 0, 0, 1, 6, 0, 3, 0, 0, 9, 8, 7, 0],[4, 3, 5, 2, 7, 6, 1, 9, 8, 7, 6, 8, 9, 4, 1, 3, 5, 2, 9, 1, 2, 5, 8, 3, 7, 4, 6, 3, 2, 6, 8, 9, 5, 4, 1, 7, 8, 9, 7, 6, 1, 4, 2, 3, 5, 5, 4, 1, 7, 3, 2, 6, 8, 9, 1, 7, 9, 4, 6, 8, 5, 2, 3, 2, 8, 4, 3, 5, 7, 9, 6, 1, 6, 5, 3, 1, 2, 9, 8, 7, 4],
medium,[1, 7, 0, 0, 0, 0, 0, 5, 6, 0, 4, 5, 2, 0, 0, 9, 7, 0, 3, 0, 2, 9, 5, 7, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 5, 0, 3, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 9, 0, 0, 0, 6, 7, 9, 3, 0, 5, 0, 5, 1, 0, 0, 4, 7, 6, 0, 6, 3, 0, 0, 0, 0, 0, 9, 8],[1, 7, 9, 4, 3, 8, 2, 5, 6, 8, 4, 5, 2, 6, 1, 9, 7, 3, 3, 6, 2, 9, 5, 7, 8, 4, 1, 5, 9, 4, 8, 1, 2, 6, 3, 7, 7, 8, 6, 5, 9, 3, 1, 2, 4, 2, 1, 3, 7, 4, 6, 5, 8, 9, 4, 2, 8, 6, 7, 9, 3, 1, 5, 9, 5, 1, 3, 8, 4, 7, 6, 2, 6, 3, 7, 1, 2, 5, 4, 9, 8],