H1N1 like to solve acm problems.But they are very busy, one day they meet a problem. Given three intergers a,b,c, the task is to compute a^(b^c))%317000011. 1412, ziyuan and qu317058542 don't have time to solve it, so the turn to you for help.

The first line contains an integer T which stands for the number of test cases. Each case consists of three integer a, b, c seperated by a space in a single line. 1 <= a,b,c <= 100000

For each case, print a^(b^c)%317000011 in a single line.

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黄庆浩