Cube Stacking
Farmer John and Betsy are playing a game with N (1 <= N <= 30,000)identical cubes labeled 1 through N. They start with N stacks, each containing a single cube. Farmer John asks Betsy to perform P (1<= P <= 100,000) operation. There are two types of operations:
moves and counts.
* In a move operation, Farmer John asks Bessie to move the stack containing cube X on top of the stack containing cube Y.
* In a count operation, Farmer John asks Bessie to count the number of cubes on the stack with cube X that are under the cube X and report that value.
Write a program that can verify the results of the game.
Input
* Line 1: A single integer, P
* Lines 2..P+1: Each of these lines describes a legal operation. Line 2 describes the first operation, etc. Each line begins with a 'M' for a move operation or a 'C' for a count operation. For move operations, the line also contains two integers: X and Y.For count operations, the line also contains a single integer: X.
Note that the value for N does not appear in the input file. No move operation will request a move a stack onto itself.
Output
Print the output from each of the count operations in the same order as the input file.
Sample Input
6 M 1 6 C 1 M 2 4 M 2 6 C 3 C 4
Sample Output
1 0 2
代码:
#include<cstdio>
using namespace std;
const int maxn = (int)3e4 + 10;
int f[maxn],root[maxn],sub[maxn];
int find(int x)
{
if (x != f[x])
{
int t = f[x];
f[x] = find(f[x]);
sub[x] += sub[t];
}
return f[x];
}
void join(int x,int y)
{
int fx = find(x),fy = find(y);
if (fx != fy)
{
f[fy] = fx;
sub[fy] = root[fx];
root[fx] += root[fy];
}
}
int main()
{
int n,x,y;
char q[3];
scanf("%d",&n);
for (int i = 1;i <= 30000;i ++)
f[i] = i,root[i] = 1;
while (n --)
{
scanf("%s",q);
if (q[0] == 'M')
{
scanf("%d %d",&x,&y);
join(x,y);
}
else
{
scanf("%d",&x);
printf("%d\n",root[find(x)] - sub[x] - 1);
}
}
return 0;
}