from random import random

def printInfo():
    print("產品名稱： 排球競技模擬分析器")
    print("產品概述： 通過輸入2個隊伍A和B的能力值(0到1之間的小數表示)，能夠模擬多次2個隊伍A和B的排球競技比賽，從而得出各自的勝率！")
    print("產品作者： 孔明最帥 - 34\n")

def getInputs():
    probA = eval(input("請輸入隊伍A的能力值(0~1)："))
    probB = eval(input("請輸入隊伍B的能力值(0~1)："))
    n = eval(input("請輸入需要模擬比賽的場次數："))
    return probA, probB, n

def simNGames(n, probA, probB):
    winsA, winsB = 0, 0
    for _ in range(n):
        winA, winB = simOneGame(probA, probB)
        if winA > winB:
            winsA += 1
        else:
            winsB += 1
    return winsA, winsB

def simOneGame(probA, probB):
    N = 1
    winA, winB = 0, 0
    for _ in range(5):
        scoreA, scoreB = simAGame(N, probA, probB)
        if scoreA > scoreB:
            winA += 1
        else:
                winB += 1
                N += 1
        if winA == 3 or winB == 3:
            break
    return winA, winB

def simAGame(N, probA, probB):
    scoreA, scoreB = 0, 0
    serving = 'A'
    while not GameOver(N, scoreA, scoreB):
        if serving == 'A':
            if random() > probA:
                scoreB += 1
                serving = 'B'
            else:
                scoreA += 1
        if serving == 'B':
            if random() > probB:
                scoreA += 1
                serving = 'A'
            else:
                scoreB += 1
    return scoreA, scoreB

def GameOver(N, scoreA, scoreB):
    if N <= 4:
        return (scoreA>=25 and scoreB>=25 and abs(scoreA-scoreB)>=2)
    else:
        return (scoreA>=15 and abs(scoreA-scoreB)>=2) or (scoreB>=15 and abs(scoreA-scoreB)>=2)

def printResult(n, winsA, winsB):
    print("競技分析開始，共模擬{}場比賽。".format(n))
    print(">>>隊伍A獲勝{}場比賽，占比{:.2f}".format(winsA,winsA/n))
    print(">>>隊伍B獲勝{}場比賽，占比{:.2f}".format(winsB,winsB/n))

if __name__ == "__main__":
    printInfo()
    probA, probB, n = getInputs()
    winsA, winsB = simNGames(n, probA, probB)
    printResult(n, winsA, winsB)