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update problem15

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Vodimed
2021-07-07 11:33:53 +00:00
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parent db3831401f
commit b941672b46
1 changed files with 8 additions and 5 deletions
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Project-Euler/Problem015.js
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@ -4,10 +4,13 @@ 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?
*/
const latticePath = n => {
//A lattice path is composed of horizontal and vertical lines that pass through lattice points.
for (var i = 1, c = 1; i <= n; i++)
c = c * (n + i) / i;
return c;
const latticePath = (gridSize) => {
for (var i = 1, paths = 1; i <= gridSize; i++)
//The total number of paths can be found using the binomial coefficient (b+a)/a.
paths = paths * (gridSize + i) / i;
return paths;
}
console.log(latticePath(20));
console.log(latticePath(20)); //output = 137846528820