Problem E
Elo Rating
In chess, players are rated using the Elo system. The system is designed such that if a player has 100 more Elo than the opponent, then the player will win 64% of the time. Elo rankings can be split into multiple categories.
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A super grandmaster has $\geq 2700$ Elo.
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A grandmaster has $\geq 2500$ Elo.
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A international grandmaster has $\geq 2400$ Elo.
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Let’s call a chess player with $<2400$ Elo amateur.
Ratings are considered valid if they are $>999$.
Write a program that reads in a chess Elo rating and prints
Super grandmaster, Grandmaster, International
grandmaster, Amateur or
Invalid depending on the input.
Input
Input consists of one line containing one integer $rating$, where $-10^6 \leq rating \leq 10^6$.
Output
Output consists of one line, the Elo category.
| Sample Input 1 | Sample Output 1 |
|---|---|
1 |
Invalid |
| Sample Input 2 | Sample Output 2 |
|---|---|
1000 |
Amateur |
| Sample Input 3 | Sample Output 3 |
|---|---|
2401 |
International grandmaster |
| Sample Input 4 | Sample Output 4 |
|---|---|
2600 |
Grandmaster |
| Sample Input 5 | Sample Output 5 |
|---|---|
2800 |
Super grandmaster |
