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本文详细介绍了如何在给定的n位二进制数中执行加一操作，并通过实例展示了该操作导致的不同位数变化情况。

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Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of n bits. These bits are numbered from 1 to n. 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 n-th bit.

Now Sergey wants to test the following instruction: "add 1 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?

Input

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

The second line contains a string consisting of n 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.

Output

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

Sample test(s)

Input

4
1100

Output

Input

4
1111

Output

Note

In the first sample the cell ends up with value 0010, in the second sample — with 0000.

输入一个二进制数，从左往右加1，判断两数不同位数

#include <cstdio>
int main(){
    int n;
    char s[117];
    while(~scanf("%d",&n)){
        getchar();
        gets(s);
        int ans = 0;
        for(int i = 0; i < n; i++){
            ans++;
            if(s[i] == '0')
                break;
        }
        printf("%d\n",ans);
    }
    return 0;
}