Short Problem Definition:
Determine whether a triangle can be built from a given set of edges.
Link
Complexity:
expected worst-case time complexity is O(N\*log(N))
expected worst-case space complexity is O(N)
Execution:
By sorting the array, we have guaranteed that P+R > Q and Q+R > P (because R is always the biggest). Now what remains, is the proof that P+Q > R, that can be found out by traversing the array. The chance to find such a combination is with three adjacent values as they provide the highest P and Q.
Solution:
def solution(A):
if 3 > len(A):
return 0
A.sort()
for i in xrange(len(A)-2):
if A[i] + A[i+1] > A[i+2]:
return 1
return 0