import math def tooHigh(num, real): return num>real biggestPayoff = 0 biggestPayoffGuess = 1 for s in range(1,1001): payoff = 0 for i in range(1,1001): upper = 1001 lower = 1 for j in range(0,9): if j == 0: guess = s else: guess = math.ceil((upper + lower)/2) if guess == i: payoff = payoff + i break; if tooHigh(guess,i): upper = guess else: lower = guess if payoff/1000>biggestPayoff: biggestPayoff = payoff/1000 biggestPayoffGuess = s print("Expected payoff for guessing " + str(s) + " is " + str(payoff/1000)) print("Biggest payoff is " + str(biggestPayoff) + " for guessing " + str(biggestPayoffGuess))
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