Question: JAVA You are given seven hexagon tiles. Each tile has 6 colored segments. Colored segments can be any color from the following, R ed, B

JAVA

You are given seven hexagon tiles. Each tile has 6 colored segments.

JAVA You are given seven hexagon tiles. Each tile has 6 colored

Colored segments can be any color from the following, Red, Blue, Yellow, Green, Orange, Purple. Colors may also repeat on the same hexagon tile. The tiles themselves are also labeled 1 - 7.

You need to place the 7 hexagon tiles on a board such that the first hexagon is placed in the center, and the remaining 6 are placed going around the first. The trick is that adjacent segments of the hexagons must have the same color in order for the placement to be valid. Your program must use recursion to find a possible solution.

The program must read in a description of seven hexagons from a text file. Use a FileChooser the allow to user to select the input file. Each line of the file contains the hexagon tile number, followed by the colors of each segment. The colors are listed in clockwise order.

For example, the following would be an example of the user input for each hexagon in the above solution:

1 PPBGOY 2 GGGGGG 3 PPPPPP 4 ROYGBP 5 PROYGB 6 GOGYGB 7 BGPPOR

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for example file read this

1 YBGROG 2 BRPRYO 3 ROPGPG 4 BBGBPG 5 YPGORP 6 GRBYOY 7 YGOBRR 

adn the solution would be

Solutions:

Solution Number: 1 Position 1: BRPRYO Position 2: PGBBGB Position 3: YOYGRB Position 4: GPGROP Position 5: ROGYBG Position 6: RYGOBR Position 7: PGORPY

Solution Number: 2 Position 1: OBRPRY Position 2: YPGORP Position 3: BPGBBG Position 4: BYOYGR Position 5: PGPGRO Position 6: GROGYB Position 7: RRYGOB

Solution Number: 3 Position 1: YOBRPR Position 2: BRRYGO Position 3: PYPGOR Position 4: GBPGBB Position 5: RBYOYG Position 6: OPGPGR Position 7: BGROGY

Solution Number: 4 Position 1: RYOBRP Position 2: YBGROG Position 3: OBRRYG Position 4: RPYPGO Position 5: BGBPGB Position 6: GRBYOY Position 7: ROPGPG

Solution Number: 5 Position 1: PRYOBR Position 2: GROPGP Position 3: GYBGRO Position 4: GOBRRY Position 5: ORPYPG Position 6: BBGBPG Position 7: YGRBYO

Solution Number: 6 Position 1: RPRYOB Position 2: OYGRBY Position 3: PGROPG Position 4: OGYBGR Position 5: YGOBRR Position 6: GORPYP Position 7: GBBGBP

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