101001: [AtCoder]ABC100 B - Ringo's Favorite Numbers

Problem Statement

Today, the memorable AtCoder Beginner Contest 100 takes place. On this occasion, Takahashi would like to give an integer to Ringo.
As the name of the contest is AtCoder Beginner Contest 100, Ringo would be happy if he is given a positive integer that can be divided by $100$ exactly $D$ times.

Find the $N$-th smallest integer that would make Ringo happy.

Constraints

• $D$ is $0$, $1$ or $2$.
• $N$ is an integer between $1$ and $100$ (inclusive).

Input

Input is given from Standard Input in the following format:

$D$ $N$

Output

Print the $N$-th smallest integer that can be divided by $100$ exactly $D$ times.

Sample Input 1

0 5

Sample Output 1

5

The integers that can be divided by $100$ exactly $0$ times (that is, not divisible by $100$) are as follows: $1$, $2$, $3$, $4$, $5$, $6$, $7$, ...
Thus, the $5$-th smallest integer that would make Ringo happy is $5$.

Sample Input 2

1 11

Sample Output 2

1100

The integers that can be divided by $100$ exactly once are as follows: $100$, $200$, $300$, $400$, $500$, $600$, $700$, $800$, $900$, $1 \ 000$, $1 \ 100$, ...
Thus, the integer we are seeking is $1 \ 100$.

Sample Input 3

2 85

Sample Output 3

850000

The integers that can be divided by $100$ exactly twice are as follows: $10 \ 000$, $20 \ 000$, $30 \ 000$, ...
Thus, the integer we are seeking is $850 \ 000$.