Cube Stacking
Time Limit: 2000MS | Memory Limit: 30000K | |
Total Submissions: 18514 | Accepted: 6426 | |
Case Time Limit: 1000MS |
Description
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.
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.
* 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
1 #include"iostream" 2 #include"cstdio" 3 #include"cstring" 4 using namespace std; 5 const int ms=30001; 6 int parent[ms]; 7 int sum[ms]; 8 int under[ms]; 9 int find(int x) 10 { 11 if(parent[x]==x) 12 return x; 13 int t=find(parent[x]); 14 under[x]+=under[parent[x]]; 15 parent[x]=t; 16 return parent[x]; 17 } 18 void merge(int a,int b) 19 { 20 int n; 21 int fa=find(a); 22 int fb=find(b); 23 if(fa==fb) 24 return ; 25 under[fb]=sum[fa]; 26 parent[fb]=fa; 27 sum[fa]+=sum[fb]; 28 } 29 int main() 30 { 31 int i,j,p; 32 for(i=0;i<ms;i++) 33 { 34 parent[i]=i; 35 under[i]=0; 36 sum[i]=1; 37 } 38 cin>>p; 39 char c; 40 while(p--) 41 { 42 cin>>c; 43 if(c=='M') 44 { 45 cin>>i>>j; 46 merge(j,i); 47 } 48 else 49 { 50 cin>>i; 51 find(i); 52 cout<<under[i]<<endl; 53 } 54 } 55 return 0; 56 }