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题目描述

Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of nn bits. These bits are numbered from 11 to nn . An integer is stored in the cell in the following way: the least significant bit is stored in the first bit of the cell, the next significant bit is stored in the second bit, and so on; the most significant bit is stored in the nn -th bit.

Now Sergey wants to test the following instruction: "add 11 to the value of the cell". As a result of the instruction, the integer that is written in the cell must be increased by one; if some of the most significant bits of the resulting number do not fit into the cell, they must be discarded.

Sergey wrote certain values ​​of the bits in the cell and is going to add one to its value. How many bits of the cell will change after the operation?

输入格式

The first line contains a single integer nn ( 1<=n<=1001<=n<=100 ) — the number of bits in the cell.

The second line contains a string consisting of nn characters — the initial state of the cell. The first character denotes the state of the first bit of the cell. The second character denotes the second least significant bit and so on. The last character denotes the state of the most significant bit.

输出格式

Print a single integer — the number of bits in the cell which change their state after we add 1 to the cell.

输入输出样例

  • 输入#1

    4
    1100
    

    输出#1

    3
    
  • 输入#2

    4
    1111
    

    输出#2

    4
    

说明/提示

In the first sample the cell ends up with value 00100010 , in the second sample — with 00000000 .

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