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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-310-nim-square.md

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+---
+id: 5900f4a21000cf542c50ffb5
+title: 'Problem 310: Nim Square'
+challengeType: 5
+forumTopicId: 301966
+dashedName: problem-310-nim-square
+---
+
+# --description--
+
+Alice and Bob play the game Nim Square.
+
+Nim Square is just like ordinary three-heap normal play Nim, but the players may only remove a square number of stones from a heap.
+
+The number of stones in the three heaps is represented by the ordered triple (a,b,c).
+
+If 0≤a≤b≤c≤29 then the number of losing positions for the next player is 1160.
+
+Find the number of losing positions for the next player if 0≤a≤b≤c≤100 000.
+
+# --hints--
+
+`euler310()` should return 2586528661783.
+
+```js
+assert.strictEqual(euler310(), 2586528661783);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler310() {
+
+  return true;
+}
+
+euler310();
+```
+
+# --solutions--
+
+```js
+// solution required
+```