Directions: Chatia, Matia and Toni participated in a race and one of them won…

Directions:

Chatia, Matia and Toni participated in a race and one of them won the race. They belong to three different communities — Sororian, Nororian and Cororian. Sororians always speak the truth, Nororians always lie, and Cororians speak the truth and lie alternately. (Each of Chatia, Matia and Toni belongs to a different one of these three communities.)

After the race, they gave these statements.

Chatia:

1. I would have won the race if Toni had not obstructed me at the last moment.

2. Toni always speaks the truth.

3. Toni is the winner.

Matia:

1. Chatia won the race.

2. Toni is not a Nororian.

Toni:

1. I hadn’t obstructed Chatia at the last moment.

2. Matia won the race.

Who won the race?