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countTheDigits.js
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26 lines (25 loc) · 923 Bytes
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// Take an integer n (n >= 0) and a digit d (0 <= d <= 9) as an integer.
// Square all numbers k (0 <= k <= n) between 0 and n.
// Count the numbers of digits d used in the writing of all the k**2.
// Call nb_dig (or nbDig or ...) the function taking n and d as parameters and returning this count.
// Examples:
// n = 10, d = 1
// the k*k are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
// We are using the digit 1 in: 1, 16, 81, 100. The total count is then 4.
// nb_dig(25, 1) returns 11 since
// the k*k that contain the digit 1 are:
// 1, 16, 81, 100, 121, 144, 169, 196, 361, 441.
// So there are 11 digits 1 for the squares of numbers between 0 and 25.
// Note that 121 has twice the digit 1.
function nbDig(n, d) {
// your code
let catcher = [];
for (let i = 0; i <= n; i++) {
let mult = i * i;
catcher.push(mult);
}
return catcher
.toString()
.split("")
.filter((l) => l == d).length;
}