Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are n forms of worms. Worms of these forms have lengths a 1 , a 2 , ..., a n . To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. The first line contains integer n ( 3 ≤ n ≤ 100 ) — amount of worm's forms. The second line contains n space-separated integers a i ( 1 ≤ a i ≤ 1000 ) — lengths of worms of each form. Output 3 distinct integers i j k ( 1 ≤ i , j , k ≤ n ) — such indexes of worm's forms that a i = a j + a k . If there is no such triple, output -1 . If there are several solutions, output any of them. It possible that a j = a k .