Q14 Perfect Squares - LeetCode

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Thu Mar 02 2023 14:03:44 GMT+0000 (Coordinated Universal Time)

Saved by @Ayush_dabas07

class Solution {
    public int numSquares(int n) {
        /* dp solution , storage - 1d array , 
        meaning - every element will store minimum number of perfect squares it needs
         to sum to that element

            algo - solve left to right (smaller to larger)
        */

        int[] dp = new int[n+1];
        dp[0] = 0;
        dp[1] = 1;

        for(int i = 2 ; i <= n ; i++){

     //subtracting for all perfect squares smaller than i and finding previous answers
            int min = Integer.MAX_VALUE;
            for(int j = 1 ; j*j <= i ; j++){

                min = Math.min(min,dp[i - j*j]);
            }
            
            //adding 1 for subtracting current perfect square that is 
            // dp[i] = previous answer(dp[i - j*j]) + current(1 which is j*j)
            // if(min != Integer.MAX_VALUE)
            dp[i] = min +1;
        }

        return dp[n];
    }
}

https://leetcode.com/problems/perfect-squares/

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DP level 2

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