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---
languages_supported:
    - NA
title: H4
category: NA
old_version: true
problem_code: H4
tags:
    - NA
layout: problem
---
###  All submissions for this problem are available. 

Given n and m, calculate 11 + 22 + 33 + ... + nn modulo m.

### Input

The first line contains 1 ≤ t ≤ 10, the number of test cases. Then the test case definitions follow. Each test case is of the form: 1 ≤ n ≤ 1018, 1 ≤ m ≤ 200000

### Output

For each test case simply write a single line containing the answer to the problem.

### Example

<pre><b>Input:</b>
6
1 100000
2 100000
3 100000
4 100000
5 100000
6 100000

<b>Output:</b>
1
5
32
288
3413
50069
</pre>