Algorithm


Problem Name: 633. Sum of Square Numbers

Given a non-negative integer c, decide whether there're two integers a and b such that a2 + b2 = c.

 

Example 1:

Input: c = 5
Output: true
Explanation: 1 * 1 + 2 * 2 = 5

Example 2:

Input: c = 3
Output: false

 

Constraints:

  • 0 <= c <= 231 - 1

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    bool judgeSquareSum(int c) {
        for(int a = 0, b = sqrt(c); a  < = sqrt(c); a++, b = sqrt(c - a * a))
            if(b * b == c - a * a) return true;
        return false;
    }
};
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Input

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c = 5

Output

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true

#2 Code Example with Javascript Programming

Code - Javascript Programming


const judgeSquareSum = function(c) {
  if (c < 0) return false;
  const max = Math.floor(Math.sqrt(c));
  for (let i = 0; i  <  max + 1; i++) {
    if (Number.isInteger(Math.sqrt(c - i * i))) {
      return true;
    }
  }
  return false;
};
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Input

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c = 5

Output

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true

#3 Code Example with Python Programming

Code - Python Programming


class Solution:
    def judgeSquareSum(self, c: int) -> bool:
        return not all(((c - i ** 2) ** 0.5) % 1 for i in range(int(c ** 0.5) + 1))
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Input

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c = 3

Output

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false

#4 Code Example with C# Programming

Code - C# Programming


using System;

namespace LeetCode
{
    public class _0633_SumOfSquareNumbers
    {
        public bool JudgeSquareSum(int c)
        {
            int i = (int)Math.Sqrt(c);
            if (i * i == c) return true;

            int j = 1;
            while (j  < = i)
            {
                if (i * i + j * j == c) return true;
                else if (i * i + j * j < c) j++;
                else i--;
            }

            return false;
        }
    }
}
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Input

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c = 3

Output

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false
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