---
id: 5900f4b11000cf542c50ffc4
challengeType: 5
title: 'Problem 325: Stone Game II'
forumTopicId: 301982
---
## 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.
## Instructions
## Tests
```yml
tests:
- text: euler325() should return 54672965.
testString: assert.strictEqual(euler325(), 54672965);
```
## Challenge Seed
```js
function euler325() {
// Good luck!
return true;
}
euler325();
```
## Solution
```js
// solution required
```