Updating on the game help text

apps/web/src/components/GameHelpPopover.tsx

@@ -37,17 +37,17 @@ export default function GameHelpPopover({ displayText }: { displayText: string }
         <PopoverCloseButton />
         <PopoverBody>
           <Text fontSize="sm" pb={4}>
-            In this game, the goal of each player is to guess closest to the mean of submissions
-            from all participating players. Each game is divided into multiple rounds. In each
-            round, players first pick a commitment value from <b>{GameConfig.MIN_NUM}</b> to{" "}
-            <b>{GameConfig.MAX_NUM}</b>. The value is processed through a zk-SNARK circuit on the
-            client-side and the proof is submitted on-chain.
+            In this game, the goal of each player is to guess the closest to the mean of submissions
+            from all participating players. Each game is divided into multiple rounds. Players first
+            commit to a guess from <b>{GameConfig.MIN_NUM}</b> to <b>{GameConfig.MAX_NUM}</b>. The
+            guess value is processed through a zk-SNARK circuit on the client side, and the
+            commitment is submitted on-chain.
           </Text>
           <Text fontSize="sm" pb={4}>
-            After all players submit commitment proofs, they then open and reveal their committment
-            values. When all players have opened their commitments, the game host concludes the
-            round and the mean will be computed on-chain. The one closest to the mean will win the
-            round.
+            After all players have submitted commitments and proofs, they open and reveal their
+            guesses. When all players have opened their guesses, the game host concludes the round.
+            The mean of all guesses will be computed, and the player who submitted the guess closest
+            to the mean will win the round.
           </Text>
           <Text fontSize="sm" pb={4}>
             The player who win <b>{GameConfig.ROUNDS_TO_WIN}</b> rounds first win the game.
@@ -58,24 +58,25 @@ export default function GameHelpPopover({ displayText }: { displayText: string }
 
           <OrderedList spacing={3} mt={3}>
             <ListItem fontSize="sm">
-              When a player first submit a value, a nullifier is randomly generated and gone through
-              a zk-SNARK circuit. The circuit performs range check ({GameConfig.MIN_NUM} -{" "}
-              {GameConfig.MAX_NUM}) and returns{" "}
-              <MyCode>[Poseidon(value, nullifier), Poseidon(nullifier)]</MyCode>. These two hashes
-              are stored on-chain and preserve players&apos; privacy.
+              When a player submit a guess, a nullifier is randomly generated, and both values are
+              passed into a zk-SNARK circuit. The circuit performs range check on the guess (
+              {GameConfig.MIN_NUM} - {GameConfig.MAX_NUM}) and returns{" "}
+              <MyCode>[Poseidon(guess, nullifier), Poseidon(nullifier)]</MyCode>. These two hashes
+              are stored on-chain, committing players to their guesses yet preserving their privacy.
             </ListItem>
             <ListItem fontSize="sm">
-              Player chosen value and nullifier are saved in client local storage and thus are not
-              prompted again when opening. By toggling &quot;Advanced Mode&quot;, you can manually
-              change the value and nullifier upon opening and see what happen in the on-chain
-              verification.
+              Player guess and nullifier are saved in client local storage and thus are not prompted
+              again during the opening phase. By toggling &quot;Advanced Mode&quot;, player can
+              manually change the value and nullifier upon opening (and check that the value will
+              indeed be rejected by the verifier on-chain 😏).
             </ListItem>
             <ListItem fontSize="sm">
-              When a round is concluded, the winner submission, <b>NOT the actual mean</b>, is
+              When a round is concluded, the winner's guess, <b>NOT the actual mean</b>, is
               revealed. I think this will make the game a bit more interesting. But all the opening
-              values are stored on-chain, so players can still compute the mean by inspecting the
-              on-chain storage. Further work can be done to explore how to hide those openings but
-              still being able to compute the mean and determine a round winner.
+              values are stored on-chain in plain values, so players can still inspect the smart
+              contract storage on-chain and compute the mean off-chain. Further work can be done to
+              explore how to hide those openings but still being able to compute the mean and
+              distances from players' guesses.
             </ListItem>
           </OrderedList>
         </PopoverBody>