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?
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.