ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
51 lines
1.5 KiB
Markdown
51 lines
1.5 KiB
Markdown
---
|
|
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
|
|
```
|