Problem 8 (2023 AMC 8)

Lola, Lolo, Tiya, and Tiyo participated in a ping pong tournament. Each player competed against each of the other three players exactly twice. Shown below are the win-loss records for the players. The numbers $1$ and $0$ represent a win or loss, respectively. For example, Lola won five matches and lost the fourth match. What was Tiyo's win-loss record? Lola: $111011$ Lolo: $101010$ Tiya: $010100$ Tiyo: ??????