10144: ABC100 —— B - Ringo's Favorite Numbers
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Description
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.
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.
Input
Input is given from Standard Input in the following format:
```
$D$ $N$
```
```
$D$ $N$
```
Output
Print the $N$-th smallest integer that can be divided by $100$ exactly $D$ times.
Constraints
- $D$ is $0$, $1$ or $2$.
- $N$ is an integer between $1$ and $100$ (inclusive).
- $N$ is an integer between $1$ and $100$ (inclusive).
Sample 1 Input
0 5
Sample 1 Output
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.
Thus, the 5-th smallest integer that would make Ringo happy is 5.
Sample 2 Input
1 11
Sample 2 Output
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.
Thus, the integer we are seeking is 1 100.
Sample 3 Input
2 85
Sample 3 Output
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.
Thus, the integer we are seeking is 850 000.