Problem Description
Due to the popular strategy card game “The Killers of Three Kingdom”, iSea detects the immense market of this game kind, so he decides to SHANZHAI a similar game, The Killers of Two Kingdom.
In this game, there are four kinds of card:
1.Kill: make the enemy loss one unit of life
2.Evade: evade the hurt of “Kill” from enemy, i.e. no loss of life
3.Snitch: steal one card from the enemy if he/she has
4.Defend: stay yourself away from “Snitch” of enemy, i.e. no loss of card
The game is played by only two players; all own three units of life in the beginning. At first, there are N cards in the original pile. Before the rounds begin, the first player takes four cards, then then second player take four cards, and both them will always keep the cards exactly in the order they get them, including the snitched card. There is no limit of card’s number for the players.
While playing the game, two players make an operation in turn, from the first player. As they are stupid AI written by iSea, both of them will take the same strategy.
The one who is in his round will act in this order:
1.Get min {2, the number of left cards} cards first
2.Check if he/she still has “Snitch” Card, use it until none left or can’t use, and try to snitch the first card of the enemy
3.Check if he/she has “Kill” Card, use the first “Kill” card if exists, he/she can use at most one “Kill” in each round
The other one will response in this way:
1.If the enemy play “Snitch” and he/she has “Defend”, use the first one
2.If the enemy play “Kill” and he/she has “Evade”, use the first one
The game ends when one of the played is dead, means own zero unit of life, or when no more cards in the original pile and both of the players can’t play card any more. Once a card had been played, it won’t be used again.
After inventing the rule, iSea find the game is extraordinary boring to play, so he don’t want to play it even only once, try to simulate the game and show him who is the winner or just a tie.
Input
The first line contains a single integer T, indicating the number of test cases.
Each test case begins with an integer N, indicating the number of cards.
Then N Cards’ description following, each of them will be one of the four kinds of cards according to the rules, short for “K”, “E”, “S” and “D”.
Technical Specification
- 1 <= T <= 50
- 8 <= N <= 100
Output
For each test case, output the case number first, then print “The winner is the first.” or “The winner is the second” or “Just a tie.” (without quotes).
Sample Input
2
8
K K K E K K S S
10
K K S S K K D D E E
Sample Output
Case 1: The winner is the second.
Case 2: Just a tie.
