Tasks Details
easy
Count the number of triangles that can be built from a given set of edges.
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An array A consisting of N integers is given. A triplet (P, Q, R) is triangular if it is possible to build a triangle with sides of lengths A[P], A[Q] and A[R]. In other words, triplet (P, Q, R) is triangular if 0 ≤ P < Q < R < N and:
- A[P] + A[Q] > A[R],
- A[Q] + A[R] > A[P],
- A[R] + A[P] > A[Q].
For example, consider array A such that:
A[0] = 10 A[1] = 2 A[2] = 5 A[3] = 1 A[4] = 8 A[5] = 12There are four triangular triplets that can be constructed from elements of this array, namely (0, 2, 4), (0, 2, 5), (0, 4, 5), and (2, 4, 5).
Write a function:
function solution(A);
that, given an array A consisting of N integers, returns the number of triangular triplets in this array.
For example, given array A such that:
A[0] = 10 A[1] = 2 A[2] = 5 A[3] = 1 A[4] = 8 A[5] = 12the function should return 4, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [0..1,000];
- each element of array A is an integer within the range [1..1,000,000,000].
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Solution
Programming language used JavaScript
Time spent on task 14 minutes
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