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, we 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 2^{28} ) 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
hide comments
shikhars387:
20171006 12:29:16
Reduced complexity from O(N^2 LogN) to O(N^2) got AC; 

vengatesh15:
20170905 08:56:15
use equal_range. AC after 5 TLE 

dunjen_master:
20170825 00:25:04
whats feynman algo...can someone provide a link where i can know abt it? 

soham_12345:
20170718 20:25:13
O(n^2) complexity.. 

aditya9125:
20170618 14:12:45
Using map or unordered_map didn't work for me even after the prevailing "reserved" keyword.After having tried many approaches I come to know, this problem asks to use binary search either simply or through "equal range", I think this approach would be a finer one. 

sagnik_66:
20170607 11:55:21
Same question as @up79, TLE without reserve(), when using unordered_map


aman224:
20170524 10:47:06
sas1905 pro /\


sas1905:
20170523 16:00:22
TLE with bounds ..AC with equal_range 

anroc:
20170418 00:39:58
You can do it in 0.08s by using Feynman's algorithm. 

epsilonalpha:
20170418 00:02:30
TLE with lower bound and upper bound.

Added by:  Abhilash I 
Date:  20070206 
Time limit:  1.419s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  South western 0506 