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Language: Color
Description Beads of N colors are connected together into a circular necklace of N beads (N<=1000000000). Your job is to calculate how many different kinds of the necklace can be produced. You should know that the necklace might not use up all the N colors, and the repetitions that are produced by rotation around the center of the circular necklace are all neglected.
You only need to output the answer module a given number P. Input The first line of the input is an integer X (X <= 3500) representing the number of test cases. The following X lines each contains two numbers N and P (1 <= N <= 1000000000, 1 <= P <= 30000), representing a test case. Output For each test case, output one line containing the answer. Sample Input 5 1 30000 2 30000 3 30000 4 30000 5 30000 Sample Output 1 3 11 70 629 Source POJ Monthly,Lou Tiancheng |

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