D-City
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65535/65535 K (Java/Others)
Total Submission(s): 840 Accepted Submission(s): 340
Problem Description
Luxer is a really bad guy. He destroys everything he met.
One day Luxer went to D-city. D-city has N D-points and M D-lines. Each D-line connects exactly two D-points. Luxer will destroy all the D-lines. The mayor of D-city wants to know how many connected blocks of D-city left after Luxer destroying the first K D-lines in the input.
Two points are in the same connected blocks if and only if they connect to each other directly or indirectly.
One day Luxer went to D-city. D-city has N D-points and M D-lines. Each D-line connects exactly two D-points. Luxer will destroy all the D-lines. The mayor of D-city wants to know how many connected blocks of D-city left after Luxer destroying the first K D-lines in the input.
Two points are in the same connected blocks if and only if they connect to each other directly or indirectly.
Input
First line of the input contains two integers N and M.
Then following M lines each containing 2 space-separated integers u and v, which denotes an D-line.
Constraints:
0 < N <= 10000
0 < M <= 100000
0 <= u, v < N.
Then following M lines each containing 2 space-separated integers u and v, which denotes an D-line.
Constraints:
0 < N <= 10000
0 < M <= 100000
0 <= u, v < N.
Output
Output M lines, the ith line is the answer after deleting the first i edges in the input.
Sample Input
5 10
0 1
1 2
1 3
1 4
0 2
2 3
0 4
0 3
3 4
2 4
0 1
1 2
1 3
1 4
0 2
2 3
0 4
0 3
3 4
2 4
Sample Output
1
1
1
2
2
2
2
3
4
5
1
1
2
2
2
2
3
4
5
思路：并查集应用，处理是倒过来处理。
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int father[], a[], b[], block[];
int find(int x)
{
return x == father[x] ? x : father[x] = find(father[x]);
} void unit(int x, int y)
{
int a = find(x);
int b = find(y);
father[a] = father[b];
return ;
} int main(int argc, char const *argv[])
{
int n, m;
//freopen("in.c", "r", stdin);
while(~scanf("%d%d", &n, &m))
{
memset(block, , sizeof(block));
for(int i = ; i < n; i ++)
father[i] = i;
for(int i = ; i < m; i ++)
scanf("%d%d", &a[i], &b[i]);
for(int i = m-; i >= ; i --)
{
block[i] = n;
if(find(a[i]) != find(b[i]))
{
n--;
unit(a[i], b[i]);
}
}
for(int i = ;i < m; i ++)
printf("%d\n", block[i]);
}
return ;
}