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def bsearch(arr,key,start=0,end=None):
if end == None: end = len(arr) - 1
if start > end: return None
if start == end and arr[start] != key: return None
mid = (start+end)/2
if arr[mid] == key:
return mid
if arr[mid] > key:
return bsearch(arr,key,start,mid-1)
if arr[mid] < key:
return bsearch(arr,key,mid+1,end)
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