1.5 KiB
1.5 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) = p^2
, where p < 100
is prime.
How many grids does S(m, n) = p^2
, where p < {10}^6
is prime?
--hints--
slidingGame()
should return 2057774861813004
.
assert.strictEqual(slidingGame(), 2057774861813004);
--seed--
--seed-contents--
function slidingGame() {
return true;
}
slidingGame();
--solutions--
// solution required