2778. Sum of Squares of Special Elements

Description

You are given a 1-indexed integer array nums of length n.

An element nums[i] of nums is called special if i divides n, i.e. n % i == 0.

Return the sum of the squares of all special elements of nums.

 

Example 1:

Input: nums = [1,2,3,4]
Output: 21
Explanation: There are exactly 3 special elements in nums: nums[1] since 1 divides 4, nums[2] since 2 divides 4, and nums[4] since 4 divides 4. 
Hence, the sum of the squares of all special elements of nums is nums[1] * nums[1] + nums[2] * nums[2] + nums[4] * nums[4] = 1 * 1 + 2 * 2 + 4 * 4 = 21.

Example 2:

Input: nums = [2,7,1,19,18,3]
Output: 63
Explanation: There are exactly 4 special elements in nums: nums[1] since 1 divides 6, nums[2] since 2 divides 6, nums[3] since 3 divides 6, and nums[6] since 6 divides 6. 
Hence, the sum of the squares of all special elements of nums is nums[1] * nums[1] + nums[2] * nums[2] + nums[3] * nums[3] + nums[6] * nums[6] = 2 * 2 + 7 * 7 + 1 * 1 + 3 * 3 = 63.

 

Constraints:

  • 1 <= nums.length == n <= 50
  • 1 <= nums[i] <= 50

Solutions

Solution 1

Python Code
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class Solution:
    def sumOfSquares(self, nums: List[int]) -> int:
        n = len(nums)
        return sum(x * x for i, x in enumerate(nums, 1) if n % i == 0)

Java Code
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class Solution {
    public int sumOfSquares(int[] nums) {
        int n = nums.length;
        int ans = 0;
        for (int i = 1; i <= n; ++i) {
            if (n % i == 0) {
                ans += nums[i - 1] * nums[i - 1];
            }
        }
        return ans;
    }
}

C++ Code
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class Solution {
public:
    int sumOfSquares(vector<int>& nums) {
        int n = nums.size();
        int ans = 0;
        for (int i = 1; i <= n; ++i) {
            if (n % i == 0) {
                ans += nums[i - 1] * nums[i - 1];
            }
        }
        return ans;
    }
};

Go Code
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func sumOfSquares(nums []int) (ans int) {
	n := len(nums)
	for i, x := range nums {
		if n%(i+1) == 0 {
			ans += x * x
		}
	}
	return
}

TypeScript Code
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function sumOfSquares(nums: number[]): number {
    const n = nums.length;
    let ans = 0;
    for (let i = 0; i < n; ++i) {
        if (n % (i + 1) === 0) {
            ans += nums[i] * nums[i];
        }
    }
    return ans;
}