JavaScript: Sum of two square numbers equal to an integer

Last update on December 31 2022 10:38:44 (UTC/GMT +8 hours)

JavaScript Math: Exercise-110 with Solution

Write a JavaScript program to check whether the sum of two square integers is equal to another given integer.

For example a² + b² = c where c is the given integer.
Example: 13 = 2² + 3²

Test Data:
(2) -> true
(5) -> true
(13) -> true
(15) -> false

Sample Solution:

HTML Code:

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <title>JavaScript program to Sum of two square numbers equal to an integer</title>
</head>
<body>

</body>
</html>

Solution-1

JavaScript Code:

function test(n) {
   if (n<=1) return false;
    max_val = Math.floor(Math.sqrt(n - 1));
    while (max_val >= 0) {
       temp = Math.sqrt(n - max_val*max_val);
        if (!(temp % 1)) {
            return true;
        };
        max_val -= 1;
    };
    return false;
}

n = 2
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 5
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 13
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 15
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));

Sample Output:

n = 2
Check sum of two square integers is equal to said integer: true
n = 5
Check sum of two square integers is equal to said integer: true
n = 13
Check sum of two square integers is equal to said integer: true
n = 15
Check sum of two square integers is equal to said integer: false

Flowchart:

$JavaScript: Sum of two square numbers equal to an integer.$

Live Demo:

See the Pen javascript-math-exercise-110 by w3resource (@w3resource) on CodePen.

Solution-2

JavaScript Code:

function test(n) {
if (n<=1) return false;
    for(var i = 0; i*i <= n; i++){
        for(var j = 0; j*j <= n; j++)
        {
            var a= i*i;
            var b = j*j;
            if(a + b == n)
                return true;
        }
    }    
    return false;
}

n = 2
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 5
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 13
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 15
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));

Sample Output:

n = 2
Check sum of two square integers is equal to said integer: true
n = 5
Check sum of two square integers is equal to said integer: true
n = 13
Check sum of two square integers is equal to said integer: true
n = 15
Check sum of two square integers is equal to said integer: false

Flowchart:

$JavaScript: Sum of two square numbers equal to an integer.$

Live Demo:

See the Pen javascript-math-exercise-110-1 by w3resource (@w3resource) on CodePen.

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