CodeForces 672A Summer Camp

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Every year, hundreds of people come to summer camps, they learn new algorithms and solve hard problems.

This is your first year at summer camp, and you are asked to solve the following problem. All integers starting with 1 are written in one line. The prefix of these line is "123456789101112131415...". Your task is to print the n-th digit of this string (digits are numbered starting with 1.

Input

The only line of the input contains a single integer n (1 ≤ n ≤ 1000) — the position of the digit you need to print.

Output

Print the n-th digit of the line.

Examples
input
3
output
3
input
11
output
0

Note

In the first sample the digit at position 3 is '3', as both integers 1 and 2 consist on one digit.

In the second sample, the digit at position 11 is '0', it belongs to the integer 10.

题意：就是12345678910111213……问你第几位是哪个数。

#include<stdio.h>#include<string.h>#include<algorithm>using namespace std;int num[1100000];void init(){int i;for(i=1;i<=9;i++){num[i]=i;}int k=10;for(i=10;i<=99;i++){num[k++]=i/10;num[k++]=i%10; }for(i=100;i<=400;i++){num[k++]=i/100;num[k++]=i/10%10;num[k++]=i%100%10;}}int main(){int n;init();while(scanf("%d",&n)!=EOF){printf("%d\n",num[n]);}return 0;}

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