CLOPPAIR - Closest Point Pair


You are given N points on a plane and your task is to find a pair of points with the smallest euclidean distance between them.

All points will be unique and there is only one pair with the smallest distance.

Input

First line of input will contain N (2<=N<=50000) and then N lines follow each line contains two integers giving the X and Y coordinate of the point. Absolute value of X,Y will be atmost 10^6.

Output

Output 3 numbers a b c, where a,b (a<b) are the indexes (0 based) of the point pair in the input and c is the distance between them. Round c to 6 decimal digits.

See samples for more clarification.

 

Input: 
5
0 0
0 1
100 45
2 3
9 9

Output:

0 1 1.000000
Input: 
5
0 0
-4 1
-7 -2
4 5
1 1

Output:

0 4 1.414214

hide comments
ameernsr: 2019-02-10 14:04:48

badihijat

tommydong: 2018-12-15 04:27:01

I got WA on test 12. It was not just a presentation error. I was totally wrong. Perhaps the test before 12 is weak.

yaseenmollik: 2018-11-30 10:36:50

AC in 5 go -_-

No need to use long long int instead of double...just make sure that a < b and your algorithm is correct..

edit: You must also use "cout << fixed << setprecision(6);" before printing the answer...otherwise it will give WA

Last edit: 2018-11-30 10:39:11
pkhrag: 2018-09-19 11:25:41

Getting TLE with n*logn algo in C++. Can anyone help?

gooolakh: 2018-08-25 10:43:10

What the hell if wrong with that test 12, what do you mean to use long long int??

k3rnelpan1c: 2018-04-25 07:54:38

This problem isn't suitable for python. An n*logn divide and conquer algorithm will pass in c++ but get a TLE in python.
For the people getting WA in test case 11/12, it's the precision of the output ( you should use << fixed << setprecision(6)<< ). It might also be a problem in the order of the two outputs a and b so make sure a < b.

darshit05: 2017-10-04 13:05:27

For test case 12 use std::fixed; before using std::setprecision(6);

miaortizma: 2017-08-20 03:46:02

12th case solved by checking my minimum (default) distance.

bruceoutdoors: 2017-08-19 18:01:53

also this problem was never pass with python. The time limit set is too little!

bruceoutdoors: 2017-08-19 17:52:06

I used double instead of long long int and still passed (?_?)


Added by:SALVO
Date:2011-04-14
Time limit:0.169s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Standard Problem