【AtCoder - 4242 】To Infinity（思维）

题干：

Problem Statement

Mr. Infinity has a string S consisting of digits from 1 to 9. Each time the date changes, this string changes as follows:

• Each occurrence of 2 in S is replaced with 22. Similarly, each 3 becomes 333, 4becomes 4444, 5 becomes 55555, 6 becomes 666666, 7 becomes 7777777, 8 becomes 88888888 and 9 becomes 999999999. 1 remains as 1.

For example, if S is 1324, it becomes 1333224444 the next day, and it becomes 133333333322224444444444444444 the day after next. You are interested in what the string looks like after 5×1015 days. What is the K-th character from the left in the string after 5×1015 days?

Constraints

• S is a string of length between 1 and 100 (inclusive).
• K is an integer between 1 and 1018 (inclusive).
• The length of the string after 5×1015 days is at least K.

Input

Input is given from Standard Input in the following format:

S
K

Output

Print the K-th character from the left in Mr. Infinity's string after 5×1015days.

Sample Input 1

1214
4

Sample Output 1

2

The string S changes as follows:

• Now: 1214
• After one day: 12214444
• After two days: 1222214444444444444444
• After three days: 12222222214444444444444444444444444444444444444444444444444444444444444444

The first five characters in the string after 5×1015 days is 12222. As K=4, we should print the fourth character, 2.

Sample Input 2

3
157

Sample Output 2

3

The initial string is 3. The string after 5×1015 days consists only of 3.

Sample Input 3

299792458
9460730472580800

Sample Output 3

2

题目大意：

给定初始的一串数字，之后每一天每个数字会复制该数字次，比如’12223’，下一天变为’1222222333’，如此类推，
问经过5e15天后第k位数字是多少。

解题报告：

   因为是个给定的数字啊！！5e15这个数字谁都承受不了啊！！读入的字符串的大小小于100位数。所以显然我们只需要找前缀1的个数就可以了。如果查询的k大于前缀1的个数，那么就输出1后面的第一个数就是了。

AC代码：

#include
#include
#include
#include
#include