For villains that intend to take over the world, a common way to avoid getting caught is to clone themselves. You have managed to catch an evil villain and her N−1 clones, and you are now trying to figure out which one of them is the real villain.
To your aid you have each person’s DNA sequence, consisting of M characters, each being either A, C, G or T. You also know that the clones are not perfectly made; rather, their sequences differ in exactly K places compared to the real villain’s.
Can you identify the real villain?
The first line contains the three integers N, M, and K, where 1≤K≤M. The following N lines represent the DNA sequences. Each of these lines consists of M characters, each of which is either A, C, G or T.
In the input, there is exactly one sequence that differs from all the other sequences in exactly K places.
Warning: this problem has rather large amounts of input, and will require fast IO in Java.
Output an integer – the index of the DNA sequence that belongs to the villain. The sequences are numbered starting from 1.
4 3 1 ACC CCA ACA AAA
4 4 3 CATT CAAA ATGA TCTA