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diff --git a/Lib/threading.py b/Lib/threading.py
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index e4c7f35..91b3849 100644
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--- a/Lib/threading.py
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+++ b/Lib/threading.py
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@@ -351,13 +351,14 @@ class _Condition(_Verbose):
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                     gotit = waiter.acquire(0)
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                     if gotit:
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                         break
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-                    remaining = endtime - _time()
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+                    remaining = min(endtime - _time(), timeout)
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                     if remaining <= 0:
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                         break
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                     if balancing:
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                         delay = min(delay * 2, remaining, 0.05)
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                     else:
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                         delay = remaining
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+                        endtime = _time() + remaining
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                     _sleep(delay)
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                 if not gotit:
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                     if __debug__: