Two person(A and B) were competing in a game. If A won the game, there was a 60% chance that he would break the national record. If B won the game, there was a 30% chance that he would break the national record. There was a 45% chance that the A could win the game, and 55% chance that B could win the game. So if the national record was broken in the game. What was the probability that A won the game? Probability that B won the game?