Antagonistic game (Zero-sum game)

Rock-Paper-Scissors-Lizard-Spock is an extension of the Rock-Paper-Scissors game, that is proposed by our Star-Trek-geek department and can be formulated as follows:

Scissors cut Paper,

Paper covers Rock,

Rock crushes Lizard,

Lizard poisons Spock,

Spock smashes Scissors,

Scissors decapitate Lizard,

Lizard eats Paper,

Paper disproves Spock,

Spock vaporizes Rock,

And, as it always has, Rock crushes Scissors!

Considering everything that has just been said, fill in the payoff matrix of the game, assuming that a player gets one point for winning:

Give an answer using the following template:

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0