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FlipFlaps fltk project, C/C++ Programming

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The project is to design and write a C++11/FLTKgame program with a graphical user interface.The game is based on "pancake sorting," as described at
https://en.wikipedia.org/wiki/Pancake_sorting, which actually has some mathematical significance. (Note that Bill Gates was a freshman at Harvard when he and one of his professors wrote a research paper about this!)

The heart of the game is a centered stack of pancakes, each one a different size. The goal is to get the stack into order (from smallest on top to largest on bottom) by flipping over the top partial stack of some number of pancakes. See the Wikipedia article for an example flipping the top three pancakes. Since we''re flipping flapjacks, the game is named "FlipFlaps
The program must:
1. Start with an attractive splash screen showing (at least) the name of the game ("FlipFlaps"), the team number, and the team members'' names. Feel free to add team members'' pictures, animations (see extra credit section below), etc.
2. Explain how to play the game.
3. Ask for the player''s initials and display the top 5 scores read in from the disk (see item 6 below) followed by the player''s initials. The top scores file starts out empty.
4. Ask for a difficulty level from 2 to 9; this is the number of pancakes. Each pancake is a different size. Display the pancakes in a centered stack in a random order. Hint: Look up "permutation" at cplusplus.com.
5. Allow the player to select where to insert the spatula(below some pancake); you may decide to have a button beside each possible spatula position, or choose some other way to indicate where to flip. When the player clicks the "Flip!" button, flip over the partial stack above the spatula and redraw the screen.
6. If the pancake stack is now in order, from smallest on top to largest on the bottom, calculate the player''s score (see "Scoring" below) and display it next to the player''s initials. Sort the list of 6 scores and write the top 5 out to disk with initials. Then the next time the game is played that file will be read in and displayed in step 3 above. Note: The game is also over if the player makes too many flips (see "Scoring" below).Ask the player if they want to play another game or quit.

Scoring: The instructors will provide a function named find_solution which calculates the minimum number of flips needed for a particular stack of pancakes. The score for one game is 100 minus 10 times the number of unnecessary flips more than the minimum, multiplied by the difficulty level.For example, if a particular stack of 6 pancakes could be flipped into order with 5 flips (according to the find_solution function), but the player takes 7 flips, then the score is [100 – 10 * (7 – 5)] * 6 = 480. The score for a game cannot go below zero, so in this case the game ends after 15 flips even if the pancakes are still not in order.
Display "Can be done in xx flips" (use the information from find_solution). Also display a running count of how many flips so far, and the player''s score so far.

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