Description: Alice and Bob are playing a game. This game is played with several identical pots and one marble. When the game starts, Alice puts the pots in one line and puts the marble in one of the pots. After that, Bob cannot see the inside of the pots. Then Alice makes a sequence of swappings and Bob guesses which pot the marble is in. In each of the swapping, Alice chooses two different pots and swaps their positions.
Unfortunately, Alice s actions are very fast, so Bob can only catch k of m swappings and regard these k swappings as all actions Alice has performed. Now given the initial pot the marble is in, and the sequence of swappings, you are asked to calculate which pot Bob most possibly guesses. You can assume that Bob missed any of the swappings with equal possibility.
Input
There are several test cases in the input file. The first line of the input file contains an integer N (N ≈ 100), then N cases follow.
The first line of each test case contains 4 integers n, m, k and s(0 < s
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File list (Check if you may need any files):
find_the_marble.txt
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