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 at most 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
atomic_lattice:
20230522 10:01:12
REMEMBER a < b and EXACTLY 6 digits 

mreza5760:
20221028 11:31:26
3 important thing


ppap_1264589:
20210912 17:33:47
Make sure your output is (a < b)


princemishra:
20210605 14:53:36
even n(logn)^2 worked 

shashwat28:
20210102 13:23:43
Those who are stuck on TC 12 ,it wants exactly 6 digits after decimal no more no less :) 

cis_pie:
20200818 17:37:05
Can be done using line sweep algorithm in nlogn 

manish1101:
20200613 11:02:06
I have submitted more than 15 times but still stuck at line 179 in my code <snip>


Saksham :
20200403 21:30:21
'rounding to 6 digits'  this got me. 

Eddy Cael:
20200116 05:09:30
You can use long long or double, it no makes a real difference. 

Eddy Cael:
20200116 05:04:33
Don't waste time in precision issues... Make sure that the algorithm is right and a<b. That's all. 
Added by:  SALVO 
Date:  20110414 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Standard Problem 