Consider the following sequence S which is constrcuted by writting nature numbers one by one: "012345678910111213...".
The first digit of S, S[0], is 0. The second digit S[1] is 1. And the 11th digit S[10] is 1.
Given an integer N, can you find the digit S[N]?
输入
An integer N. (0 <= N <= 1018)
输出
Digit S[N].
样例输入
17
样例输出
3
思路：
可以找到一位数所占的位数，二位数所占的位数......
这样首先可以知道要查询的数是在k位数中的，然后可以知道在k位数中的第m个，接着可以计算在k位数中第m个数的第i位（从左往右数）
#include <cstdio>
#include <iostream>
using namespace std;
typedef long long LL;
const LL UP = 1e18;
LL fac[20]={1,1};
LL bar[20];
int digit[20];
LL n;
int main()
{
for(int i = 2; i < 18; i++) fac[i] = fac[i-1] * 10;
LL sum = 0;
for(int i = 1; i < 18; i++)
{
bar[i] = fac[i]*9*i;
}
bar[1] = 9;
while(cin >> n)
{
int dig = 1;
while(n > bar[dig])
{
n -= bar[dig];
dig++;
}
int num = n / dig + (n % dig != 0);
int weishu = n % dig == 0? dig : n%dig;
num = fac[dig] + num-1;
int len = 0;
while(num)
{
digit[len++] = num % 10;
num /= 10;
}
int ans = 0;
for(int i = 0; i < weishu; i++)
ans = digit[--len];
cout << ans << endl;
}
return 0;
}
就当自己又回来了吧