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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-313-sliding-game.md

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+---
+id: 5900f4a61000cf542c50ffb8
+title: 'Problem 313: Sliding game'
+challengeType: 5
+forumTopicId: 301969
+dashedName: problem-313-sliding-game
+---
+
+# --description--
+
+In a sliding game a counter may slide horizontally or vertically into an empty space. The objective of the game is to move the red counter from the top left corner of a grid to the bottom right corner; the space always starts in the bottom right corner. For example, the following sequence of pictures show how the game can be completed in five moves on a 2 by 2 grid.
+
+Let S(m,n) represent the minimum number of moves to complete the game on an m by n grid. For example, it can be verified that S(5,4) = 25.
+
+There are exactly 5482 grids for which S(m,n) = p2, where p < 100 is prime.
+
+How many grids does S(m,n) = p2, where p < 106 is prime?
+
+# --hints--
+
+`euler313()` should return 2057774861813004.
+
+```js
+assert.strictEqual(euler313(), 2057774861813004);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler313() {
+
+  return true;
+}
+
+euler313();
+```
+
+# --solutions--
+
+```js
+// solution required
+```