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650. 2 Keys Keyboard

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Problem Statement

650. 2 Keys Keyboard

Medium


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:

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

 

Example 1:

Input: n = 3
Output: 3
Explanation: Initially, we have one character 'A'.
In step 1, we use Copy All operation.
In step 2, we use Paste operation to get 'AA'.
In step 3, we use Paste operation to get 'AAA'.

Example 2:

Input: n = 1
Output: 0

 

Constraints:

Java โ€” bottomUp

Source file
class Solution {
    public int minSteps(int n) {
        int[] minOps = new int[n + 1];
        Arrays.fill(minOps, n + 1);
        minOps[1] = 0;
        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= i / 2; j++)
                if (i % j == 0)
                    minOps[i] = Math.min(minOps[i], minOps[j] + i / j);
        }
        // System.out.println(Arrays.toString(minOps));
        return minOps[n];
    }
}