Problem5224--Triangular

5224: Triangular

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Determine whether a triangle can be built from a given set of edges.
An array A consisting of N integers is given. A triplet (P, Q, R) istriangularif 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] = 20
Triplet (0, 2, 4) is triangular.
array A such that:
A[0] = 10
A[1] = 50
A[2] = 5
A[3] = 1
the function should return 0.

Input

First line, a number N.
Second line, N numbers.

Output

Returns 1 if there exists a triangular triplet for this array and returns 0 otherwise.

Sample 1 Input

6
10 2 5 1 8 20

Sample 1 Output

1

HINT

【数据范围】
N is an integer within the range [0..100,000];
each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].

Source/Category

基础算法 4.7.排序