Dsa Sort Counting

In this tutorial, you'll learn about How to Fix Counting Sort Errors. We cover key concepts, practical examples, and best practices.

Fix counting sort errors when counts array size wrong or number range assumption exceeds memory.

Quick Fix

Wrong

def cs(a):
    m=max(a); c=[0]*(m+1)
    for x in a: c[x]+=1
    return [i for i,v in enumerate(c) for _ in range(v)]

Works but doesn't handle negative numbers. O(n+k) space where k = range.

Right

def cs(a):
    if not a: return a
    m=max(a); mn=min(a); r=mn-m+1; c=[0]*r
    for x in a: c[x-mn]+=1
    out=[]
    for i in range(mn,m+1):
        out.extend([i]*c[i-mn])
    return out

[4,2,2,8,3,3,1] -> [1,2,2,3,3,4,8]. O(n+k) time, O(k) space.

Prevention

Shift indices by min value for negative support. Sum k = max-min+1.

DodaTech Tools

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FAQ