WEBISL - Web islands

For a given set of web pages, we want to find largest subsets such that from every page in a subset you can follow links to any other page in the same subset.

Input

On the first line, there are two numbers, number of the pages N, and total number of links M. Pages are numbered from 0 up to N-1. On lines 2 up to M+1, there are two numbers per line. The first is the source page and the second is the target page of a link.

Output

On N lines there is a component ID for every single page. The component ID is the smallest page index on the component.

Example

Input:
3 3
0 1
1 0
1 2

Output: 0
0
2

Added by:dRak
Date:2013-03-04
Time limit:1s-5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64

hide comments
2015-09-20 14:50:02
getting WA, someone give tough test case
2015-07-12 17:37:16 Jordan
Using STL gave TLE, even with fast input...
2015-05-30 09:57:28 Dipti Singhal
need more test cases. getting WA
2015-03-21 23:46:33 ashish jaiswal
plz explain with other test case..not able to understand.
2015-03-01 16:19:42 Deepak
Got AC with N = 100005
2015-02-07 00:17:25 sanchay
Got A.C assuming N < 10^7.
2014-11-15 13:39:48 Siya
What is the range of N?
2014-07-16 11:02:47 Ivan ©ego
@[Lakshman] No.
Correct output is:
0
0
0
3
2014-07-12 07:54:10 [Lakshman]
Need Help is answer for below case::
4 4
0 1
1 0
1 2
2 0
ans::
0
0
0
0
2014-04-19 16:34:16 Min_25
@kishlay
This problem asks for the strongly connected components of the web pages.

On the i-th (0-indexed) line, we need to print the smallest page index on the component which contains page i.

Last edit: 2014-06-24 19:56:10
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