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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-325-stone-game-ii.md

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+---
+id: 5900f4b11000cf542c50ffc4
+title: 'Problem 325: Stone Game II'
+challengeType: 5
+forumTopicId: 301982
+dashedName: problem-325-stone-game-ii
+---
+
+# --description--
+
+A game is played with two piles of stones and two players. At her turn, a player removes a number of stones from the larger pile. The number of stones she removes must be a positive multiple of the number of stones in the smaller pile.
+
+E.g., let the ordered pair(6,14) describe a configuration with 6 stones in the smaller pile and 14 stones in the larger pile, then the first player can remove 6 or 12 stones from the larger pile.
+
+The player taking all the stones from a pile wins the game.
+
+A winning configuration is one where the first player can force a win. For example, (1,5), (2,6) and (3,12) are winning configurations because the first player can immediately remove all stones in the second pile.
+
+A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (2,3) and (3,4) are losing configurations: any legal move leaves a winning configuration for the second player.
+
+Define S(N) as the sum of (xi+yi) for all losing configurations (xi,yi), 0 < xi < yi ≤ N. We can verify that S(10) = 211 and S(104) = 230312207313.
+
+Find S(1016) mod 710.
+
+# --hints--
+
+`euler325()` should return 54672965.
+
+```js
+assert.strictEqual(euler325(), 54672965);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler325() {
+
+  return true;
+}
+
+euler325();
+```
+
+# --solutions--
+
+```js
+// solution required
+```