孩子參加上海的圍棋升級賽，規則如下：1. 初學者（1級）需要在7場比賽中贏得5場才能晉升至初段。2. 2級選手在7場比賽中贏得5場即可晉升至1級。3. 3級至5級選手在7場比賽中贏得4場可晉升一級。4. 6級至8級選手在6場比賽中贏得3場可晉升一級。5. 9級至10級選手在5場比賽中贏得2場即可晉升一級。同時，如果一場比賽中，選手已經贏得了晉升所需的場次，則無需再比。如果失敗了剩余的比賽，即使全部勝利也無法晉升。對于升級的概率，我編寫了一個模擬程序，計算出的通過率大約為：- 初學者（1級）在7場比賽中贏得5場晉升至初段的概率為5/7，即17%。- 2級選手在7場比賽中贏得5場晉升至1級的概率也為5/7，即17%。- 3級至5級選手在7場比賽中贏得4場晉升一級的概率為4/7，即50%。- 6級至8級選手在6場比賽中贏得3場晉升一級的概率為3/6，即50%。- 9級至10級選手在5場比賽中贏得2場晉升一級的概率為2/5，即80%。由此可見，一開始通過率較高，但到了后面升級變得相當困難。程序如下：```pythonimport randomdef check_if_passed(list_item, win_count_to_pass):cnt = 0for i in range(7):if list_item[i+1] is True:cnt += 1if cnt >= win_count_to_pass:return Trueelse:return Falsedef check_if_kicked(list_item, raced_cnt, total_games, win_count_to_pass):fail_cnt = total_games - win_count_to_pass + 1# 對于需要2/5勝率晉升的情況，失敗3場將無法晉升；對于5/7勝率晉升的情況，失敗2場將無法晉升if raced_cnt < fail_cnt:# 還未達到失敗的場次return Falsecnt = 0for i in range(raced_cnt):if list_item[i+1] is False:cnt += 1if cnt == fail_cnt:return Trueelse:return Falsedef check_if_raced(list_item, which_game):if list_item[which_game+1] is True:return Trueelse:return Falsedef getPasRate(total_games, win_count_to_pass):students_win_list = []students_raced = []for i in range(100):students_win_list.append([i, False, False, False, False, False, False, False, False])# 最后的布爾值為True表示晉升students_raced.append([i, False, False, False, False, False, False, False])for i in range(total_games):for j in range(0, 100):if check_if_raced(students_raced[j], i) or check_if_passed(students_win_list[j], win_count_to_pass) or check_if_kicked(students_win_list[j], i, total_games, win_count_to_pass):continueelse:for k in range(j+1, 100):if check_if_raced(students_raced[k], i) or check_if_passed(students_win_list[k], win_count_to_pass) or check_if_kicked(students_win_list[k], i, total_games, win_count_to_pass):continueelse:if random.randint(1,100) % 2 == 0:# j贏students_raced[j][i+1] = Truestudents_raced[k][i+1] = Truestudents_win_list[j][i+1] = Truestudents_win_list[k][i+1] = Falseprint("Race " + str(i+1) + ", player " + str(j) + " vs " + str(k) + ", player " + str(j) + " wins")else:# k贏students_raced[j][i+1] = Truestudents_raced[k][i+1] = Truestudents_win_list[j][i+1] = Falsestudents_win_list[k][i+1] = Trueprint("Race " + str(i+1) + ", player " + str(j) + " vs " + str(k) + ", player " + str(k) + " wins")break# 玩家1已經與2對戰，無需與其他玩家對戰win_count = 0for i in range(100):if check_if_passed(students_win_list[i], win_count_to_pass):win_count += 1students_win_list[i][8] = True#print("player " + str(i) + ": ")#print(students_win_list[i])return win_countif __name__ == '__main__':pass_count = getPasRate(5,2)print(pass_count)```請注意，程序中的函數和變量命名應使用英文，以保持代碼的清晰性和可讀性。此外，程序中的打印語句可能會干擾輸出結果的整齊性，建議在實際使用時移除或替換。