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36 changes: 36 additions & 0 deletions Algorithms/sorting/quickSort_3partition.py
Original file line number Diff line number Diff line change
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# Uses python3
import sys
import random

def partition3(a, l, r):
x=a[l]
m1=l
m2=l
for i in range(l + 1, r + 1):
if a[i] < x:
a[i], a[m1] = a[m1], a[i]
a[i], a[m2+1] = a[m2+1], a[i]
m1 += 1
m2 += 1
elif a[i] == x:
a[i], a[m2+1] = a[m2+1], a[i]
m2 += 1
return (m1,m2)

def randomized_quick_sort(a, l, r):
if l >= r:
return
k = random.randint(l, r)
a[l], a[k] = a[k], a[l]
#use partition3
m1,m2 = partition3(a, l, r)
randomized_quick_sort(a, l, m1 - 1);
randomized_quick_sort(a, m2 + 1, r);


n=int(input())
lst=list(map(int,input().split()))
randomized_quick_sort(lst,0,n-1)
lst=list(map(str,lst))
st=" "
print(st.join(lst))