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@@ -1,23 +1,20 @@ | ||
// from 8BQube, plz ensure p is strict convex hull | ||
const llf INF = 1e18, qi = acos(-1) / 2 * 3; | ||
pair<llf, llf> solve(vector<P> &p) { | ||
#define Z(v) (p[v] - p[i]) | ||
llf mx = 0, mn = INF; | ||
int n = (int)p.size(); p.emplace_back(p[0]); | ||
pair<llf, llf> solve(const vector<P> &p) { | ||
llf mx = 0, mn = INF; int n = (int)p.size(); | ||
for (int i = 0, u = 1, r = 1, l = 1; i < n; ++i) { | ||
#define Z(v) (p[(v) % n] - p[i]) | ||
P e = Z(i + 1); | ||
while (cross(e, Z(u + 1)) > cross(e, Z(u))) | ||
u = (u + 1) % n; | ||
while (dot(e, Z(r + 1)) > dot(e, Z(r))) | ||
r = (r + 1) % n; | ||
if (!i) l = (r + 1) % n; | ||
while (dot(e, Z(l + 1)) < dot(e, Z(l))) | ||
l = (l + 1) % n; | ||
P D = p[r] - p[l]; | ||
mn = min(mn, dot(e, D) / llf(norm(e)) * cross(e, Z(u))); | ||
while (cross(e, Z(u + 1)) > cross(e, Z(u))) ++u; | ||
while (dot(e, Z(r + 1)) > dot(e, Z(r))) ++r; | ||
if (!i) l = r + 1; | ||
while (dot(e, Z(l + 1)) < dot(e, Z(l))) ++l; | ||
P D = p[r % n] - p[l % n]; | ||
llf H = cross(e, Z(u)) / llf(norm(e)); | ||
mn = min(mn, dot(e, D) * H); | ||
llf B = sqrt(norm(D)) * sqrt(norm(Z(u))); | ||
llf deg = (qi - acos(dot(D, Z(u)) / B)) / 2; | ||
mx = max(mx, B * sin(deg) * sin(deg)); | ||
} | ||
return {mn, mx}; | ||
} | ||
} // test @ UVA 819 |
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template <typename Cap = int64_t> class Dinic { | ||
private: | ||
struct E { int to, rev; Cap cap; }; int n, st, ed; | ||
vector<vector<E>> G; vector<int> lv, idx; | ||
bool BFS() { | ||
lv.assign(n, -1); | ||
queue<int> bfs; bfs.push(st); lv[st] = 0; | ||
while (not bfs.empty()) { | ||
int u = bfs.front(); bfs.pop(); | ||
for (auto e: G[u]) { | ||
if (e.cap <= 0 or lv[e.to] != -1) continue; | ||
bfs.push(e.to); lv[e.to] = lv[u] + 1; | ||
} | ||
} | ||
return lv[ed] != -1; | ||
} | ||
Cap DFS(int u, Cap f) { | ||
if (u == ed) return f; | ||
Cap ret = 0; | ||
for(int &i = idx[u]; i < int(G[u].size()); ++i) { | ||
auto &e = G[u][i]; | ||
if (e.cap <= 0 or lv[e.to] != lv[u]+1) continue; | ||
Cap nf = DFS(e.to, min(f, e.cap)); | ||
ret += nf; e.cap -= nf; f -= nf; | ||
G[e.to][e.rev].cap += nf; | ||
if (f == 0) return ret; | ||
} | ||
if (ret == 0) lv[u] = -1; | ||
return ret; | ||
} | ||
struct E { int to, rev; Cap cap; }; int n, st, ed; | ||
vector<vector<E>> G; vector<size_t> lv, idx; | ||
bool BFS() { | ||
lv.assign(n, 0); idx.assign(n, 0); | ||
queue<int> bfs; bfs.push(st); lv[st] = 1; | ||
while (not bfs.empty()) { | ||
int u = bfs.front(); bfs.pop(); | ||
for (auto e: G[u]) if (e.cap > 0 and !lv[e.to]) | ||
bfs.push(e.to), lv[e.to] = lv[u] + 1; | ||
} | ||
return lv[ed]; | ||
} | ||
Cap DFS(int u, Cap f = numeric_limits<Cap>::max()) { | ||
if (u == ed) return f; | ||
Cap ret = 0; | ||
for (auto &i = idx[u]; i < G[u].size(); ++i) { | ||
auto &[to, rev, cap] = G[u][i]; | ||
if (cap <= 0 or lv[to] != lv[u] + 1) continue; | ||
Cap nf = DFS(to, min(f, cap)); | ||
ret += nf; cap -= nf; f -= nf; | ||
G[to][rev].cap += nf; | ||
if (f == 0) return ret; | ||
} | ||
if (ret == 0) lv[u] = 0; | ||
return ret; | ||
} | ||
public: | ||
void init(int n_) { G.assign(n = n_, vector<E>()); } | ||
void add_edge(int u, int v, Cap c) { | ||
G[u].push_back({v, int(G[v].size()), c}); | ||
G[v].push_back({u, int(G[u].size())-1, 0}); | ||
} | ||
Cap max_flow(int st_, int ed_) { | ||
st = st_, ed = ed_; Cap ret = 0, f; | ||
while (BFS()) { | ||
idx.assign(n, 0); | ||
ret += (f = DFS(st, numeric_limits<Cap>::max())); | ||
if (f == 0) break; | ||
} | ||
return ret; | ||
} | ||
}; | ||
void init(int n_) { G.assign(n = n_, vector<E>()); } | ||
void add_edge(int u, int v, Cap c) { | ||
G[u].push_back({v, int(G[v].size()), c}); | ||
G[v].push_back({u, int(G[u].size())-1, 0}); | ||
} | ||
Cap max_flow(int st_, int ed_) { | ||
st = st_, ed = ed_; Cap ret = 0; | ||
while (BFS()) ret += DFS(st); | ||
return ret; | ||
} | ||
}; // test @ luogu P3376 |
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