Easy Way To Shuffle Poker Chips

  
PokerEasy Way To Shuffle Poker Chips

With just about four chips, you can master the thumb flip, just by watching this video. Yes, that's right. Watch and learn. Not only will you be taking everybody's money now, but you'll look cool doing it. Place the blinds (starting bets) or 'ante up.' In poker, bets are placed at the beginning of the game in one of 2 ways. In Texas Hold’em, the player next to the dealer typically places a small blind bet that’s half of the usual minimum bet, while the player to that person’s left places a big blind that’s at least the minimum bet. Here's a list of four poker chip tricks that anyone can master with minimum effort. This little trick is like the shuffle. First stack up 6-8 poker chips, then put your hand over it. Your pointer finger and thumb should be placed on one side of the stack and the rest of your fingers on the other. Take one of the stack and set aside, then flip the other1/2 on top of the stack with a smooth and easy move. Now this will impress your friends! The Finger Flip. When the chip is partially inserted, then you can push the chip up by lowering your middle finger and raising your index finger. Then you just repeat the process for the following fingers until the chip gets to the end (between your ring finger and pinky). Then you can do it in reverse and make the chip go back the other way. Almost anyone who has watched poker events on TV would have seen professional players shuffling their chips. Shuffling chips is usually done to intimidate the opponents at the table. Also, the act can be distracting because it simply looks very impressive if it is done in the right way. Just like cards, shuffling chips is.

Shuffle'm Up
Time Limit: 1000MSMemory Limit: 65536K
Total Submissions: 21601Accepted: 9730

Description

A common pastime for poker players at a poker table is to shuffle stacks of chips. Shuffling chips is performed by starting with two stacks of poker chips, S1 and S2, each stack containing C chips. Each stack may contain chips of several different colors.

Easy Way To Shuffle Poker ChipsShuffle

The actual shuffle operation is performed by interleaving a chip from S1 with a chip from S2 as shown below for C = 5:

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The single resultant stack, S12, contains 2 * C chips. The bottommost chip of S12 is the bottommost chip from S2. On top of that chip, is the bottommost chip from S1. The interleaving process continues taking the 2nd chip from the bottom of S2 and placing that on S12, followed by the 2nd chip from the bottom of S1 and so on until the topmost chip from S1 is placed on top of S12.

After the shuffle operation, S12 is split into 2 new stacks by taking the bottommost C chips from S12 to form a new S1 and the topmost C chips from S12 to form a new S2. The shuffle operation may then be repeated to form a new S12.

For this problem, you will write a program to determine if a particular resultant stack S12 can be formed by shuffling two stacks some number of times.

Input

The first line of input contains a single integer N, (1 ≤ N ≤ 1000) which is the number of datasets that follow.

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Each dataset consists of four lines of input. The first line of a dataset specifies an integer C, (1 ≤ C ≤ 100) which is the number of chips in each initial stack (S1 and S2). The second line of each dataset specifies the colors of each of the C chips in stack S1, starting with the bottommost chip. The third line of each dataset specifies the colors of each of the C chips in stack S2 starting with the bottommost chip. Colors are expressed as a single uppercase letter (A through H). There are no blanks or separators between the chip colors. The fourth line of each dataset contains 2 * C uppercase letters (A through H), representing the colors of the desired result of the shuffling of S1 and S2 zero or more times. The bottommost chip’s color is specified first.

Output

Output for each dataset consists of a single line that displays the dataset number (1 though N), a space, and an integer value which is the minimum number of shuffle operations required to get the desired resultant stack. If the desired result can not be reached using the input for the dataset, display the value negative 1 (−1) for the number of shuffle operations.

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Sample Input

How To Shuffle Poker Chips

Sample Output

Source