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Rotated Digits

Problem statement

An integer x is a good if after rotating each digit individually by 180 degrees, we get a valid number that is different from x. Each digit must be rotated - we cannot choose to leave it alone.

A number is valid if each digit remains a digit after rotation. For example:

  • 0, 1, and 8 rotate to themselves,
  • 2 and 5 rotate to each other (in this case they are rotated in a different direction, in other words, 2 or 5 gets mirrored),
  • 6 and 9 rotate to each other, and
  • the rest of the numbers do not rotate to any other number and become invalid.

Given an integer n, return the number of good integers in the range [1, n].

Example 1:

Input: n = 10Output: 4Explanation: There are four good numbers in the range [1, 10] : 2, 5, 6, 9.Note that 1 and 10 are not good numbers, since they remain unchanged after rotating.

Example 2:

Input: n = 1Output: 0

Example 3:

Input: n = 2Output: 1

Constraints:

  • 1 <= n <= 104

My solution

/**
* @param {number} n
* @return {number}
*/
var rotatedDigits = function(n) {
let count = 0;
for (let i = 1; i <= n; i++) {
if (isValid(i)) {
count++
}
}

return count
};

function isValid(n) {
let isValid = false;
while (n) {
const compare = n % 10;
if (compare === 3 || compare === 4 || compare === 7) {
return false;
}
if (compare === 2 || compare === 5 || compare === 6 || compare === 9) {
isValid = true
}
n = Math.trunc(n / 10)
}
return isValid;
}