Stock Chase
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1787 Accepted Submission(s): 579
Problem Description
I
have to admit, the solution I proposed last year for solving the bank
cash crisis didn’t solve the whole economic crisis. As it turns out,
companies don’t have that much cash in the first place.
They have
assets which are primarily shares in other companies. It is common, and
acceptable, for one company to own shares in another. What complicates
the issue is for two companies to own shares in each other at the same
time. If you think of it for a moment, this means that each company now
(indirectly) controls its own shares.
New market regulation is being
implemented: No company can control shares in itself, whether directly
or indirectly. The Stock Market Authority is looking for a computerized
solution that will help it detect any buying activity that will result
in a company controlling its own shares. It is obvious why they need a
program to do so, just imagine the situation where company A buying
shares in B, B buying in C, and then C buying in A. While the first two
purchases are acceptable.
The third purchase should be rejected since
it will lead to the three companies controlling shares in themselves.
The program will be given all purchasing transactions in chronological
order. The program should reject any transaction that could lead to one
company controlling its own shares.
All other transactions are accepted.
have to admit, the solution I proposed last year for solving the bank
cash crisis didn’t solve the whole economic crisis. As it turns out,
companies don’t have that much cash in the first place.
They have
assets which are primarily shares in other companies. It is common, and
acceptable, for one company to own shares in another. What complicates
the issue is for two companies to own shares in each other at the same
time. If you think of it for a moment, this means that each company now
(indirectly) controls its own shares.
New market regulation is being
implemented: No company can control shares in itself, whether directly
or indirectly. The Stock Market Authority is looking for a computerized
solution that will help it detect any buying activity that will result
in a company controlling its own shares. It is obvious why they need a
program to do so, just imagine the situation where company A buying
shares in B, B buying in C, and then C buying in A. While the first two
purchases are acceptable.
The third purchase should be rejected since
it will lead to the three companies controlling shares in themselves.
The program will be given all purchasing transactions in chronological
order. The program should reject any transaction that could lead to one
company controlling its own shares.
All other transactions are accepted.
Input
Your
program will be tested on one or more test cases. Each test case is
specified on T + 1 lines. The first line specifies two positive numbers:
(0 < N <= 234) is the number of companies and (0 < T <=
100, 000) is the number of transactions. T lines follow, each describing
a buying transaction. Each transaction is specified using two numbers A
and B where (0 < A,B <= N) indicating that company A wants to buy
shares in company B.
The last line of the input file has two zeros.
program will be tested on one or more test cases. Each test case is
specified on T + 1 lines. The first line specifies two positive numbers:
(0 < N <= 234) is the number of companies and (0 < T <=
100, 000) is the number of transactions. T lines follow, each describing
a buying transaction. Each transaction is specified using two numbers A
and B where (0 < A,B <= N) indicating that company A wants to buy
shares in company B.
The last line of the input file has two zeros.
Output
For each test case, print the following line:
k. R
Where k is the test case number (starting at one,) R is the number of transactions that should be rejected.
Note: There is a blank space before R.
k. R
Where k is the test case number (starting at one,) R is the number of transactions that should be rejected.
Note: There is a blank space before R.
Sample Input
3 6
1 2
1 3
3 1
2 1
1 2
2 3
0 0
Sample Output
1. 2
Source
题意:
n个点,m条有向边,不能有环,不能有环,问有多少边如果加上会出现环
代码:
//如果a->b则能到a点的也能到b点,b点能到达的点a点以及能到a点的也能到达。
//注意重复。
#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
using namespace std;
int n,m,map[][];
void update(int a,int b)
{
map[a][b]=;
for(int i=;i<=n;i++)
{
if(map[i][a])
{
map[i][b]=;
}
}
for(int i=;i<=n;i++)
{
if(map[b][i])
for(int j=;j<=n;j++)
{
if(map[j][b])
map[j][i]=;
}
}
}
int main()
{
int a,b,k=;
while(scanf("%d%d",&n,&m)&&n&&m)
{
int ans=;
memset(map,,sizeof(map));
for(int i=;i<m;i++){
scanf("%d%d",&a,&b);
if(map[a][b])
continue;
if(map[b][a]||a==b)
{
ans++;
continue;
}
update(a,b);
}
printf("%d. %d\n",k++,ans);
}
return ;
}