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#2549 - Count Distinct Numbers on Board
Problem Description
You are given a positive integer n, that is initially placed on a board. Every day, for 109 days, you perform the following procedure:
- For each number x present on the board, find all numbers 1 <= i <= n such that x % i == 1.
- Then, place those numbers on the board.
Return the number of distinct integers present on the board after 109 days have elapsed.
Note:
- Once a number is placed on the board, it will remain on it until the end.
- % stands for the modulo operation. For example, 14 % 3 is 2.
Solution
/**
* @param {number} n
* @return {number}
*/
var distinctIntegers = function(n) {
return n === 1 ? 1 : n - 1;
};