Originally Posted by

**ron3** Hi

It's seems to be not too hard and I'm hoping it's the right place to ask:

The rules of a new game with two players:

The first player choose four integers (x y z u) and the second player should guess the four numbers in order to win.

In each turn the second player can choose four integers (a b c d) and the first player tells him the sum:

ax + by + cz + du

What is the minimum number of turns the second player will need to win? and how he will solve it?

My answer:

Four turns, first turn (a=1,b=0,c=0,d=0) will find x, second turn (b=1,a=c=d=0) will find y, and in the same way he will find c and, total four turns.

What do you think? This is the right answer?

Any faster way to solve it?

Any comment will be appreciated.

Thanks