Question

How to count the number of possible triangles from a given array in Node.js

Answer 1

// Triangle = the sum of any two values (sides) > than the third value (third side)
 
// A + B > C
// B + C > A
// C + A > B

function CountTriangles(arr) {
    const size = arr.length;
    let count = 0;
     
    for (let i = 0; i < size; i++) {
        for (let j = i + 1; j < size; j++) {
            for (let k = j + 1; k < size; k++) {
                if (arr[i] + arr[j] > arr[k] && 
                    arr[i] + arr[k] > arr[j] && 
                    arr[k] + arr[j] > arr[i]) {
                    count++;
                    console.log(arr[i] + " + " + arr[j] + " > " + arr[k] + " | " +
                                arr[i] + " + " + arr[k] + " > " + arr[j] + " | " + 
                                arr[k] + " + " + arr[j] + " > " + arr[i]);
                }
            }
        }
    }
    return count;
}
 
const arr = [120, 80, 13, 16, 9, 14, 19];
 
const total_triangles = CountTriangles(arr);
 
console.log("Total triangles : " + total_triangles);
 
 
 
 
 
/*
run:
 
13 + 16 > 9 | 13 + 9 > 16 | 9 + 16 > 13
13 + 16 > 14 | 13 + 14 > 16 | 14 + 16 > 13
13 + 16 > 19 | 13 + 19 > 16 | 19 + 16 > 13
13 + 9 > 14 | 13 + 14 > 9 | 14 + 9 > 13
13 + 9 > 19 | 13 + 19 > 9 | 19 + 9 > 13
13 + 14 > 19 | 13 + 19 > 14 | 19 + 14 > 13
16 + 9 > 14 | 16 + 14 > 9 | 14 + 9 > 16
16 + 9 > 19 | 16 + 19 > 9 | 19 + 9 > 16
16 + 14 > 19 | 16 + 19 > 14 | 19 + 14 > 16
9 + 14 > 19 | 9 + 19 > 14 | 19 + 14 > 9
Total triangles : 10
 
*/

 

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