In a remote island, three people Abe, Ben and Cal took part in a running race. They belong to three different types: Knights, who always tell the truth; Liars who always lie and, Knaves who alternatively tell a truth or lie. It is known that precisely one of Abe, Ben and Cal is a knight, precisely one of them is a liar and the remaining is a knave. It is also known that there was precisely one person who reached the first position in the said race.
Following are some statements made by them:
1. I would have won the race if Cal had not come in my way to restrain me in the final part.
2. Cal won the race.
1. I won the race.
2. Cal came in Abe’s way, to restrain him from winning the race.
1. Ben won the race.
2. I did not come in Abe’s way, to restrain him from winning the race.
Find the types each of the three men belong to. Who won the race?