//=========================================================================
#define PROGRAMMER "SOLUTIONS, NoFrills"
#define PROG_CODE  "soln"
#define COURSE     "ECE-1021"
#define YEAR       (2004)
#define TERM       "Spring"
#define SECTION    (0)
#define ASSIGNMENT "HW #6A"
#define REVISION   (0)
#define TITLE      "The Monty Hall Problem"
#define SUBTITLE   "Problem 5.20"
#define EMAIL      "wbahn@eas.uccs.edu"
#define FILENAME   "06a0soln.txt"
//=========================================================================

// PROBLEM:
//
// Write a program that simulates the Monty Hall game to answer the
// question of the best strategy for playing the game.
//
// SOLUTION:
//
// The main part is to write a function that plays the game according to
// the rules of the the game. So the first step is to clearly detail the
// rules of the game.
//
// The Rules of the Game:
//
// Step 1: Randomly place a car behind one of three doors.
// Step 2: The player picks a door.
// Step 3: One of the non-picked, non-winning doors is opened.
// Step 4: The player has the choice to switch doors.
// Step 5: The player's final selection is revealed.
//
// Per the statement of the problem, the program is to play the game
// according to one of three user-selected strategies.
//
// Strategy 1: Always stay with the door initially picked.
// Strategy 1: Randomly choose whether to stay or switch.
// Strategy 3: Always switch to the unpicked, unopened door.
//
// Our game playing function can take that as an argument and return
// a logical value indicating whether the game was won or lost. Also,
// per the additional material given in the homework assignment, the
// function needs to know the "verbosity level" and print out information
// accordingly.
//
// PSEUDOCODE:
//
// 1) TASK: Get information from user
// 1.1) GET: Number of games to play.
// 1.2) GET: Strategy to use.
// 1.3) GET: Verbosity level.
// 2) TASK: Simulate the games
// 2.1) REP:
// 2.1.1) PRE:
// 2.1.1.1) TASK: Initialize necessary variables.
// 2.1.2) WHILE: More games to play
// 2.1.2.1) TASK: Play the game based on strategy and verbosity.
// 2.1.2.2) TASK: Update variables based on game outcome.
// 2.1.2.3) TASK: Generate output based on verbosity.
// 3) TASK: Output final results.