An alternative to the Call Stack

Continuation-Passing Style


In [3]:
%%python

def fact(n):
    if n == 1:
        return 1
    else:
        return fact(n - 1) * n
    
fact(10000)


Traceback (most recent call last):
  File "/usr/local/lib/python3.4/dist-packages/metakernel-0.13.3-py3.4.egg/metakernel/magics/python_magic.py", line 19, in exec_code
    exec(code, env)
  File "<string>", line 7, in <module>
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  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 5, in fact
  File "<string>", line 2, in fact
RuntimeError: maximum recursion depth exceeded in comparison


In [4]:
(use-stack-trace #f)

In [5]:
(define fact 
  (lambda (n) 
    (if (= n 1) 
        1 
        (* (fact (- n 1))
           n))))

(fact 10000)


Out[5]:
28462596809170545189064132121198688901480514017027992307941799942744113400037644437729907867577847758158840621423175288300423399401535187390524211613827161748198241998275924182892597878981242531205946599625986706560161572036032397926328736717055741975962099479720346153698119897092611277500484198845410475544642442136573303076703628825803548967461117097369578603670191071512730587281041158640561281165385325968425825995584688146430425589836649317059251717204276597407446133400054194052462303436869154059404066227828248371512038322178644627183822923899638992827221879702459387693803094627332292570555459690027875282242544348021127559019169425429028916907219097083690539873747452483372899521802363282741217040268086769210451555840567172555372015852132829034279989818449313610640381489304499621599999359670892980190336998484404665419236258424947163178961192041233108268651071354516845540936033009607210346944377982349430780626069422302681885227592057029230843126188497606560742586279448827155956831533440534425446648416894580425709461673613187605234982286326452921529423479870603344290737158688499178932580691483168854251956006172372636323974420786924642956012306288720122652952964091508301336630982733806353972901506581822574295475894399765113865541208125788683704239208764484761569001264889271590706306409661628038784044485191643790807186112370622133415415065991843875961023926713276546986163657706626438638029848051952769536195259240930908614471907390768585755934786981720734372093104825475628567777694081564074962275254993384112809289637516990219870492405617531786346939798024619737079041868329931016554150742308393176878366923694849025999607729684293977427536263119825416681531891763234839190821000147178932184227805135181734921901146246875769835373441456013122615221391178759688367364087207937002992038279198038702372078039140312368997608152840306051116709484722224870389199993442071395836983063962232079115624044250808919914319837120445598344047556759489212101498152454543594285414390843564419984224855478532163624030098442855331829253154206551237079705816393460296247697010388742206441536626733715428700789122749340684336442889847100840641600093623935261248037975293343928764398316390312776450722479267851700826669598389526150759007349215197592659192708873202594066382118801988854748266048342256457705743973122259700671936061763513579529821794290797705327283267501488024443528681645026165662837546519006171873442260438919298506071515390031106684727360135816706437861756757439184376479658136100599638689552334648781746143243573224864326798481981458432703035895508420534788493364582482592033288089025782388233265770205248970937047210214248413342465268206806732314214483854074182139621846870108359582946965235632764870475718351616879235068366271743711915723361143070121120767608697851559721846485985918643641716850899625516820910793570231118518174775010804622585521314764897490660752877082897667514951009682329689732000622392888056658036140311285465929084078033974900664953205873164948093883816198658850827382468034897864757116679890423568018303504133875731972630897909435710687797301633918087868474943633533893373586906405848417828065196275826434429258058422212947649402948622670761832988229004072390403733168207417413251656688443079339447019208905620788387585342512820957359307018197708340163817638278562539516825426644614941044711579533262372815468794080423718587423026200264221822694188626212107297776657401018376182280136857586442185863011539843712299107010094061929413223202773193959467006713695377097897778118288242442920864816134179562017471831609687661043140497958198236445807368209404022211181530051433387076607063149616107771117448059552764348333385744040212757031851527298377435921878558552795591028664457917362007221858143309977294778923720717942857756271300923982397921957581197264742642878266682353915687857271620146192244266266708400765665625807109474398740110772811669918806268726626565583345665007890309050656074633078027158530817691223772813510584527326591626219647620571434880215630815259005343721141000303039242866457207328473481712034168186328968865048287367933398443971236735084527340196309427697652684170174990756947982757825835229994315633322107439131550124459005324702680312912392297979030417587823398622373535054642646913502503951009239286585108682088070662734733200354995720397086488066040929854607006339409885836349865466136727880748764700702458790118046518296111277090609016152022111461543158317669957060974618085359390400067892878548827850938637353703904049412684618991272871562655001270833039950257879931705431882752659225814948950746639976007316927310831735883056612614782997663188070063044632429112260691931278881566221591523270457695867512821990938942686601963904489718918597472925310322480210543841044325828472830584297804162405108110326914001900568784396341502696521048920272140232160234898588827371428695339681755106287470907473718188014223487248498558198439094651708364368994306189650243288353279667190184527620551085707626204244509623323204744707831190434499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