Dsa Search Binary
DodaTech
1 min read
In this tutorial, you'll learn about How to Fix Binary Search Errors. We cover key concepts, practical examples, and best practices.
Fix binary search errors when mid calculation overflows or loop termination condition infinite.
Quick Fix
Wrong
def bs(a,t):
l=0; r=len(a)-1
while l<r:
m=(l+r)//2
if a[m]==t: return m
elif a[m]<t: l=m+1
else: r=m-1
return -1
Loop condition l<r misses last element when l==r.
Right
def bs(a,t):
l=0; r=len(a)-1
while l<=r:
m=l+(r-l)//2
if a[m]==t: return m
elif a[m]<t: l=m+1
else: r=m-1
return -1
[2,3,4,10,40], search 10 -> 3. O(log n).
Prevention
Use l+(r-l)//2 to avoid overflow. Use l<=r to include final element.
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