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Chtholly's request code force-897B

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If a number is palindrome and length of its decimal representation without leading zeros is even, we call it a zcy number. A number is palindrome means when written in decimal representation, it contains no leading zeros and reads the same forwards and backwards. For example 12321 and 1221 are palindromes and 123 and 12451 are not. Moreover, 1221 is zcy number and 12321 is not.

Given integers k and p, calculate the sum of the k smallest zcy numbers and output this sum modulo p.

Unfortunately, Willem isn‘t good at solving this kind of problems, so he asks you for help!

Input

The first line contains two integers k and p (1?≤?k?≤?105,?1?≤?p?≤?109).

Output

Output single integer — answer to the problem.

Examples Input
2 100
Output
33
Input
5 30
Output
15
Note

In the first example, the smallest zcy number is 11, and the second smallest zcy number is 22.

In the second example, 技術分享圖片.

題解:怎麽枚舉偶數位的回文數?從小到大該怎麽想?把一個數與它翻轉後的數連接在一起,就構成了偶數位的回文數,比如12,翻轉後21,連在一起1221。

 1 // ConsoleApplication3.cpp: 定義控制臺應用程序的入口點。
2 // 3 4 #include"stdafx.h" 5 #include<cstdio> 6 #include<cstring> 7 #include<iostream> 8 #include<algorithm> 9 using namespace std; 10 typedef long long ll; 11 12 ll cal(int m) { 13 ll ans = m, t = m; 14 while (t) { 15 ans = ans * 10 + t % 10; 16 t = t / 10; 17 } 18 return ans; 19 } 20 21 int main() 22 { 23 int k, p; 24 cin >> k >> p; 25 ll sum = 0; 26 for (int i = 1; i <= k; i++) sum = (sum + cal(i)) % p; 27 cout << sum << endl; 28 return 0; 29 }

Chtholly's request code force-897B