CF913A.Modular Exponentiation

普及/提高-

通过率:0%

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题目描述

The following problem is well-known: given integers nn and mm , calculate

, where 2n=22...22^{n}=2·2·...·2 ( nn factors), and denotes the remainder of division of xx by yy .

You are asked to solve the "reverse" problem. Given integers nn and mm , calculate

.

输入格式

The first line contains a single integer nn ( 1<=n<=1081<=n<=10^{8} ).

The second line contains a single integer mm ( 1<=m<=1081<=m<=10^{8} ).

输出格式

Output a single integer — the value of .

输入输出样例

  • 输入#1

    4
    42
    

    输出#1

    10
    
  • 输入#2

    1
    58
    

    输出#2

    0
    
  • 输入#3

    98765432
    23456789
    

    输出#3

    23456789
    

说明/提示

In the first example, the remainder of division of 42 by 24=162^{4}=16 is equal to 10.

In the second example, 58 is divisible by 21=22^{1}=2 without remainder, and the answer is 0.

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