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# http://www.geeksforgeeks.org/find-number-of-triangles-possible/

def number_of_triangles(input):

input.sort()

count = 0

for i in range(len(input)-2):

k = i + 2

for j in range(i+1, len(input)):

while k < len(input) and input[i] + input[j] > input[k]:

k = k + 1

count += k - j - 1

return count

if __name__ == '__main__':

input = [15, 9, 8, 3, 4, 5, 6]

print(number_of_triangles(input))