Vasya, Petya and Kolya played tennis right through (the loser skipped the next game, giving up his place to the third). Vasya claims to have played x games, Petya – that played y parties, Kolya – z games.
Determine if it could be.
Input
Enter three non-negative integers x, y, z not exceeding 1000.
Imprint
Print YES (in capital letters) if it could be, and NO otherwise.
Examples
| # |
Input |
Output |
| 1 |
3 1 2 |
YES |
| 2 |
1 1 1 |
NO |