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Dsa Search In Sorted Matrix

DodaTech 1 min read

In this tutorial, you'll learn about How to Fix Search in Sorted Matrix Errors. We cover key concepts, practical examples, and best practices.

Fix search in sorted matrix errors when binary search on wrong dimension or staircase fails.

Quick Fix

Wrong

def sm(m,t):
    for r in m:
        for c in r:
            if c==t: return True
    return False

O(n*m) brute force. Doesn't use sorted property.

def sm(m,t):
    if not m or not m[0]: return False
    r=0; c=len(m[0])-1
    while r<len(m) and c>=0:
        if m[r][c]==t: return True
        elif m[r][c]>t: c-=1
        else: r+=1
    return False
Matrix [[1,4,7,11],[2,5,8,12],[3,6,9,16],[10,13,14,17]], search 5 -> True. O(n+m).

Prevention

Staircase search from top-right corner. Move left for smaller, down for larger.

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 sorted matrix search?

Matrix sorted row-wise and column-wise. Staircase search O(n+m).

Why top-right?

Top-right has unique property: left smaller, down larger. Eliminates row or column each step.

Binary search variant?

Binary search rows then columns. O(log n + log m) if rows and columns are sorted.

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