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Write a program to find all the triangles with integer side lengths and a user specified perimeter.
Perimeter is the sum of all the sides of the triangle. Integers a, b and c form a triangle if the sum of the lengths of any two sides is greater than the third side.
Your program should find all the triples a, b and c where a + b + c is user specified perimeter value. Print each triple only once in increasing order.
For example, 3, 4 and 5 forms a triple with perimeter 12.
Only print 3 4 5 instead of printing all the permutations of the triple.
Output example:
Please Enter Perimeter: 24
Traingles with perimeter 24
2 11 11
3 10 11
4 9 11
4 10 10
5 8 11
5 9 10
6 7 11
6 8 10
6 9 9
7 7 10
7 8 9
8 8 8
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