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 228 ) that belong respectively to A, B, C and D .

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
candide: 2016-04-25 10:33:17

Done in PyPy. No sort, no binary sort, only arrays. ABCDEF is very similar.

Last edit: 2016-05-06 10:33:12
Akshay Damle: 2016-04-12 23:17:17

AC in 1 go :D Try ABCDEF before this. Using vectors for the sums and upper_bound, lower_bound works.

wh1t3_r0s3: 2016-03-22 20:25:41

getting TLE on the 9th test case? what should i do?

nonushikhar: 2016-03-11 18:11:47

hint: sort() is faster than qsort()
syntax: #include <alogrithm>
std::sort(arr,arr+n) //n is size of array arr

prateek1985: 2016-02-24 12:06:40

n^2 logn in java is giving TLE !!

Rehas Mehar Kaur Sachdeva: 2016-01-08 12:29:57

Can someone please give a hint how to optimise unordered_map based solution, no long long int used, n^2logn algorithm, no cin cout used.....

cat_got_bored: 2016-01-01 20:18:12

while doing binary search remember that the value can appear multiple times.

cat_got_bored: 2016-01-01 20:10:00

I couldn't get AC with STL map anyhow .... even with optimizations :-(
Then used only arrays,and binary search and got AC!
Didn't know STL map is this slow
AND DONT TAKE THE ARRAY LONG . WILL GET YOU TLE

Last edit: 2016-01-01 20:13:07
SHIVEK SACKLECHA: 2015-12-27 21:39:58

Dont know why but long long gives a TLE and int gives an accepted solution! Strange.

Arjav Patel: 2015-12-23 16:29:48

long long => tle
int => AC


Added by:Abhilash I
Date:2007-02-06
Time limit:1.419s
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Memory limit:1536MB
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