freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/algorithms/pairwise.english.md

id, title, challengeType, forumTopicId

id	title	challengeType	forumTopicId
a3f503de51cfab748ff001aa	Pairwise	5	301617

Description

Given an array arr, find element pairs whose sum equal the second argument arg and return the sum of their indices.

You may use multiple pairs that have the same numeric elements but different indices. Each pair should use the lowest possible available indices. Once an element has been used it cannot be reused to pair with another element. For instance, pairwise([1, 1, 2], 3) creates a pair [2, 1] using the 1 at index 0 rather than the 1 at index 1, because 0+2 < 1+2.

For example pairwise([7, 9, 11, 13, 15], 20) returns 6. The pairs that sum to 20 are [7, 13] and [9, 11]. We can then write out the array with their indices and values.

Index	0	1	2	3	4
Value	7	9	11	13	15

Below we'll take their corresponding indices and add them.

7 + 13 = 20 → Indices 0 + 3 = 3
9 + 11 = 20 → Indices 1 + 2 = 3
3 + 3 = 6 &#8594 Return 6

Instructions

Tests

tests:
  - text: <code>pairwise([1, 4, 2, 3, 0, 5], 7)</code> should return 11.
    testString: assert.deepEqual(pairwise([1, 4, 2, 3, 0, 5], 7), 11);
  - text: <code>pairwise([1, 3, 2, 4], 4)</code> should return 1.
    testString: assert.deepEqual(pairwise([1, 3, 2, 4], 4), 1);
  - text: <code>pairwise([1, 1, 1], 2)</code> should return 1.
    testString: assert.deepEqual(pairwise([1, 1, 1], 2), 1);
  - text: <code>pairwise([0, 0, 0, 0, 1, 1], 1)</code> should return 10.
    testString: assert.deepEqual(pairwise([0, 0, 0, 0, 1, 1], 1), 10);
  - text: <code>pairwise([], 100)</code> should return 0.
    testString: assert.deepEqual(pairwise([], 100), 0);

Challenge Seed

function pairwise(arr, arg) {
  return arg;
}

pairwise([1,4,2,3,0,5], 7);

Solution

function pairwise(arr, arg) {
  var sum = 0;
  arr.forEach(function(e, i, a) {
    if (e != null) {
      var diff = arg-e;
      a[i] = null;
      var dix = a.indexOf(diff);
      if (dix !== -1) {
        sum += dix;
        sum += i;
        a[dix] = null;
      }
    }
  });
  return sum;
}

pairwise([1,4,2,3,0,5], 7);