1.1 KiB
1.1 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4a61000cf542c50ffb8 | Problem 313: Sliding game | 5 | 301969 | 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.
assert.strictEqual(euler313(), 2057774861813004);
--seed--
--seed-contents--
function euler313() {
return true;
}
euler313();
--solutions--
// solution required