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#650 - 2 Keys Keyboard

Problem Description

There is only one character 'A' on the screen of a notepad. You can perform one of two operations on this notepad for each step:

  • Copy All: You can copy all the characters present on the screen (a partial copy is not allowed).
  • Paste: You can paste the characters which are copied last time.

Given an integer n, return the minimum number of operations to get the character 'A' exactly n times on the screen.

Solution

/**
 * @param {number} n
 * @return {number}
 */
var minSteps = function(n) {
  let result = 0;

  for (let factor = 2; n > 1;) {
    while (n % factor === 0) {
      result += factor;
      n /= factor;
    }
    factor++;
  }

  return result;
};