Ringo's Favorite Numbers

AtCoder

IDabc100_b

Time2000ms

Memory256MB

Difficulty—

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: $D$ $N$ [samples]

Samples

Input #1

0 5

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 $5$.

Input #2

1 11

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 $1 \ 100$.

Input #3

2 85

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 $850 \ 000$.

API Response (JSON)

{
  "problem": {
    "name": "Ringo's Favorite Numbers",
    "description": {
      "content": "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 w",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc100_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Today, the memorable AtCoder Beginner Contest 100 takes place. On this occasion, Takahashi would like to give an integer to Ringo.  \nAs the name of the contest is AtCoder Beginner Contest 100, Ringo w...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments