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chore: Merge pull request #631 from anna-vodimed/master

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Add solution for Project-Euler Problem15
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Rak Laptudirm
2021-07-07 23:09:45 +05:30
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commit 8af25f1bb6
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// https://projecteuler.net/problem=15
/* Starting in the top left corner of a 2×2 grid, and only being able to move to
the right and down, there are exactly 6 routes to the bottom right corner.
How many such routes are there through a 20×20 grid?
*/
// A lattice path is composed of horizontal and vertical lines that pass through lattice points.
const latticePath = (gridSize) => {
let paths
for (let i = 1, paths = 1; i <= gridSize; i++) {
paths = paths * (gridSize + i) / i
}
// The total number of paths can be found using the binomial coefficient (b+a)/a.
return paths
}
console.log(latticePath(20)) // output = 137846528820