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50271 - Number of Right Triangles

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Question by Ibrahim Mesecan.

Number of Right Triangles

Question: If a, b and c are the sides of a triangle, a right triangle complies the formula c2 = a2 + b2. You are given the sides of three triangles, How many of them are right triangles?

Input specification: You will be given 3 integers in three lines. (a, b and c) where 0 ≤ (a, b and c) ≤ 1 million.

Output specification: Show one number, the number of right triangles.

Sample Input I
3 4 5
12 5 13
7 10 15
 		Sample Input II
3 19 19
6 11 14
9 12 15
Sample Output I
2
 		Sample Output II
1

Explanation: for the first sample:52 = 32 + 42 and 132 = 122 + 52 comply but the other number triple does not comply the pythagorean theorem. For the second sample, only one number triple (152 = 122 + 92) complies the pythagorean theorem.

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