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44 changes: 44 additions & 0 deletions Python/923-3Sum With Multiplicity.py
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# Link to problem: https://leetcode.com/problems/3sum-with-multiplicity/

# Given an integer array arr, and an integer target, return the number of tuples i, j, k such that i < j < k and arr[i] + arr[j] + arr[k] == target.

class Solution:
def threeSumMulti(self, arr: List[int], target: int) -> int:
N=len(arr)
arr.sort()
ans=0
for i in range(N):
T=target-arr[i]
j=i+1 ; k=N-1
while k > j:
if arr[k]+arr[j]<T:
j+=1
elif arr[k]+arr[j]>T:
k-=1
else:
if arr[j]==arr[k]:
total=k-j+1
ans+=total*(total-1)//2
ans%=(int(1e9)+7)
break
else:
cnt1=0
cnt2=0
st=arr[j];en=arr[k]
while arr[j]==st:
cnt1+=1
j+=1
while arr[k]==en:
cnt2+=1
k-=1
ans+=cnt1*cnt2
ans%=(int(1e9)+7)
return ans%(int(1e9)+7)

'''
Input: arr = [1,1,2,2,3,3,4,4,5,5], target = 8
Output: 20

Input: arr = [1,1,2,2,2,2], target = 5
Output: 12
'''