Created
September 27, 2014 21:27
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class Replier: | |
def __init__(self, secret): | |
self._diff = None | |
self._secret = secret | |
def answer(self, val): | |
last_diff = self._diff | |
self._diff = abs(val - self._secret) | |
return (-1 if last_diff and self._diff > last_diff else 1) if \ | |
self._diff else 0 | |
def find2(rep, N): | |
"""Find the secret in ~ 2 lg N guesses.""" | |
lo = 1 | |
hi = N | |
while lo < hi: | |
if not rep.answer(lo): | |
return lo | |
ans = rep.answer(hi) | |
if not ans: | |
return hi | |
mid = (lo + hi) / 2 | |
if ans > 0: | |
lo = mid | |
else: | |
hi = mid | |
return lo | |
def find(rep, N): | |
"""Find the secret in ~ lg N guesses.""" | |
lo = 1 | |
hi = N | |
guess = 1 | |
decision_pt = hi | |
if not rep.answer(1): | |
return lo | |
while hi - lo > 1: | |
guess = lo + hi - guess | |
ans = rep.answer(guess) | |
if not ans: | |
return ans | |
mid = (lo + hi) / 2 | |
if decision_pt == lo: | |
if ans > 0: | |
hi = mid | |
else: | |
lo = mid | |
decision_pt = hi | |
else: | |
if ans > 0: | |
lo = mid | |
else: | |
hi = mid | |
decision_pt = lo | |
return hi if rep.answer(lo) else lo |
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