• February 16th, 2014, 04:30 PM
satyen
A zero-indexed array A consisting of N integers is given. A triplet (P, Q, R) is called a triangle 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].
The perimeter of such a triangle equals A[P] + A[Q] + A[R]. For example, consider the following array A:
A[0] = 10
A[1] = 2
A[2] = 5
A[3] = 1
A[4] = 8
A[5] = 20
Triplet (0, 2, 4) is a triangle and its perimeter equals 10 + 5 + 8 = 23. There is no other triangle in this array with a larger perimeter.
Write a function:
class Solution { public int solution(int[] A); }
that, given a zero-indexed array A of N integers, returns the maximum perimeter of any triangle in this array. The function should return −1 if there are no triangles.
For example, given:
A[0] = 10
A[1] = 2
A[2] = 5
A[3] = 1
A[4] = 8
A[5] = 20
the function should return 23, as explained above.
Given array A such that:
A[0] = 5
A[1] = 10
A[2] = 18
A[3] = 7
A[4] = 8
A[5] = 3
the function should return 25: the triangle with the maximum perimeter is (1, 3, 4).
While for an array A:
A[0] = 10
A[1] = 20
A[2] = 30
the function should return −1, as it is impossible to create a triangle.
Assume that:
N is an integer within the range [0..100,000];
each element of array A is an integer within the range [1..100,000,000].
Complexity:
expected worst-case time complexity is O(N*log(N));
expected worst-case space complexity is O(1), beyond input storage (not counting the storage required for input arguments).
Elements of input arrays can be modified.
• February 16th, 2014, 04:45 PM
GoodbyeWorld