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Kim
2021-07-07 19:34:04 +03:00
parent b941672b46
commit 22fcd2d5ee
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Project-Euler/Problem015.js
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@ -4,13 +4,12 @@ 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? 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. // A lattice path is composed of horizontal and vertical lines that pass through lattice points.
const latticePath = (gridSize) => { const latticePath = (gridSize) => {
for (var i = 1, paths = 1; i <= gridSize; i++)
for (var i = 1, paths = 1; i <= gridSize; i++) // The total number of paths can be found using the binomial coefficient (b+a)/a.
//The total number of paths can be found using the binomial coefficient (b+a)/a. { paths = paths * (gridSize + i) / i }
paths = paths * (gridSize + i) / i; return paths
return paths;
} }
console.log(latticePath(20)); //output = 137846528820 console.log(latticePath(20)) // output = 137846528820