Today I have solved the problem in javascript

 Write a program that determines the smallest number of perfect squares that sum up to N.


Here are a few examples:

Given N = 4, return 1 (4)

Given N = 17, return 2 (16 + 1)

Given N = 18, return 2 (9 + 9)


function numSquares(N) {

    const dp = new Array(N + 1).fill(Infinity);

    dp[0] = 0;


    for (let i = 1; i <= N; i++) {

        for (let j = 1; j * j <= i; j++) {

            dp[i] = Math.min(dp[i], dp[i - j * j] + 1);

        }

    }return dp[N];

}

console.log(numSquares(4)); 

console.log(numSquares(17)); 

console.log(numSquares(18)); 

Output:

1
2
2

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