SUMFOUR - 4 values whose sum is 0

The SUM problem can be formulated as follows: given four lists A, B, C, D of integer values, compute how many quadruplet (a, b, c, d ) belongs to A x B x C x D are such that a + b + c + d = 0. In the following, assume that all lists have the same size n.

Input

The first line of the input file contains the size of the lists n (this value can be as large as 4000). We then have n lines containing four integer values (with absolute value as large as 228 ) that belong respectively to A, B, C and D.

(Edited: n <= 2500)

Output

Output should be printed on a single line.

Example

Input:
6
-45 22 42 -16
-41 -27 56 30
-36 53 -37 77
-36 30 -75 -46
26 -38 -10 62
-32 -54 -6 45

Output:
5

Added by:Abhilash I
Date:2007-02-06
Time limit:1.419s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:South western 05-06

hide comments
2019-06-01 09:02:24
How did 1st ranker got it in 0.01sec? mine took 2+sec with O(n*n*log(n))...

Last edit: 2019-06-01 09:04:09
2019-05-18 08:28:58
Note that equal elements in a list are considered to be distinct
2019-04-13 13:19:50 mikroz
gp_hash_table
2019-04-12 20:07:25
unordered_map got me TLE, however equal_range passed.
2019-04-07 13:20:45


Last edit: 2019-04-14 08:06:25
2019-04-03 12:40:58
AC in first go using upper_bound() and lower_bound()
2019-04-03 03:44:13 Rahul Kathuria
Easy peasy :P AC in 1st go!
No need of equal range, hint :- just use vector with int data type and brute force(double pointer) in n^2 :)
2019-03-27 15:51:02
1. Do not remove duplicates.
2. Use unordered_map with reserve
Mine passed in 2.34 s
2019-03-22 02:30:56
use vectors , array gave a RE.......fast io worked here .....Hint- Complexity O(n^2*log(k))........Simple one

Last edit: 2019-03-22 02:33:16
2019-02-06 05:31:00
This is what happened for me:
Using map got TLE
Using unordered_map got TLE
Using unordered_map with reserved got TLE
Using Vectors wit h lower and upper_bound got TLE
Using arrays with lower and upper_bound got TLE
Using arrays with equal_range got accepted.

Many got AC with bounds and unordered_map. But they didnt work for me.
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