New Year Games Part 1

Me and my friend Prateek Mehra were playing a game yesterday. My highest score was A {A} and his highest score was B 1 {B} - {1} . And there was something unusual with this score, that is-

A 2 = 2015 + B 2 {A}^{2} = {2015} + {B}^{2}

Now we found out that A B 3 {A} * {B} * {3} minus 400 {400} gives us the name of the game. Tell me the number of characters in the name of creator of this game.


The answer is 15.

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1 solution

A^2 = 2015 + B^2

The nearest perfect square numbers to 2015 are 2116, 2209, 2304.. Out of these, 2304 satisfies the given condition.

2304= 2015 + 289 which gives A=48, B=17.

Now, A* B* 3 - 400 = 48* 17*3- 400 = 2048.

The game is 2048 and creator is Gabriele Cirulli.

The number of characters in his name are 15. So, the answer is 15.

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