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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.

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.

DodaTech Tools

Doda Browser's algorithm visualizer steps through DSA operations line by line. DodaZIP archives implementation patterns for team sharing. Durga Antivirus Pro detects memory corruption patterns in algorithm implementations.

FAQ

What is binary search?

Find element in sorted array by halving search range each step.

mid overflow?

(l+r)//2 overflows for large l+r. l+(r-l)//2 is safe.

Loop condition?

l<=r: inclusive range. l<r: exclusive range. Choose consistently.

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