JavaScript: Least number of perfect square that sums upto n

Last update on April 22 2023 12:18:59 (UTC/GMT +8 hours)

JavaScript Math: Exercise-106 with Solution

Write a JavaScript program that accepts an integer (n) as input and calculates the lowest number of exact square numbers that sum to n.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3.

Example:
Input: 12
Output: 3
Explanation: 12 = 3² + 1² + 1²
Input: 63
Output: 4
Explanation: 63 = 7² + 3² + 2² + 1².

Test Data:
(12) -> 3
(13) -> 2
(63) -> 4

Sample Solution:

HTML Code:

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <title>JavaScript program to Least number of perfect square that sums upto n</title>
</head>
<body>

</body>
</html>

JavaScript Code:

function test(n) {
    var maps = []
    maps[0] = 0
    maps[1] = 1
    maps[2] = 2
    maps[3] = 3
    
     for (var i = 3; i <= n; i++) {
        maps[i] = maps[i-1] + 1
        for (var j = 1; j*j <= i; j++) {
            maps[i] = Math.min(maps[i], maps[i-j*j] + 1)
          }
      }
    return maps[n]
}

n = 12
console.log("Number n = " +n)
console.log("Least number of perfect square that sums upto n: "+test(n));
n = 13
console.log("Number n = " +n)
console.log("Least number of perfect square that sums upto n: "+test(n));
n = 63
console.log("Number n = " +n)
console.log("Least number of perfect square that sums upto n: "+test(n));

Sample Output:

Number n = 12
Least number of perfect square that sums upto n: 3
Number n = 13
Least number of perfect square that sums upto n: 2
Number n = 63
Least number of perfect square that sums upto n: 4

Flowchart:

$JavaScript: Least number of perfect square that sums upto n.$

Live Demo:

See the Pen javascript-math-exercise-106 by w3resource (@w3resource) on CodePen.

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