HDU4951:Multiplication table
Problem Description
Teacher Mai has a multiplication table in base p.
For example, the following is a multiplication table in base 4:
* 0 1 2 3
0 00 00 00 00
1 00 01 02 03
2 00 02 10 12
3 00 03 12 21
But a naughty kid maps numbers 0..p-1 into another permutation and shuffle the multiplication table.
For example Teacher Mai only can see:
1*1=11 1*3=11 1*2=11 1*0=11
3*1=11 3*3=13 3*2=12 3*0=10
2*1=11 2*3=12 2*2=31 2*0=32
0*1=11 0*3=10 0*2=32 0*0=23
Teacher Mai wants you to recover the multiplication table. Output the permutation number 0..p-1 mapped into.
It's guaranteed the solution is unique.
Input
There are multiple test cases, terminated by a line "0".
For each test case, the first line contains one integer p(2<=p<=500).
In following p lines, each line contains 2*p integers.
The (2*j+1)-th number x and (2*j+2)-th number y in the i-th line indicates equation i*j=xy in the shuffled multiplication table.
Warning: Large IO!
Output
For each case, output one line.
First output "Case #k:", where k is the case number counting from 1. The following are p integers, indicating the permutation number 0..p-1 mapped into.
Sample Input
4
2 3 1 1 3 2 1 0
1 1 1 1 1 1 1 1
3 2 1 1 3 1 1 2
1 0 1 1 1 2 1 3
0
Sample Output
Case #1: 1 3 2 0
可以發現,0對應的情況下,這行的所有數字都相同其他數字則看第一位,假設有n種不同的情況,對應的數字就是n1的情況要對應0做特殊處理
用G++超時,用C++才過,因為一個細節沒有注意,WA了幾次,糾錯花了很久。。。
#include
#include
#include
using namespace std;
#define up(i,x,y,z) for(i=x;i<=y;i+=z)
#define mem(a,b) memset(a,b,sizeof(a))
#define w(x) while(x)
int n,a[505][1005],i,j,vis[505],ans[505],cas=1;
int main()
{
w((scanf("%d",&n),n))
{
up(i,0,n-1,1)
up(j,0,2*n-1,1)
scanf("%d",&a[i][j]);
up(i,0,n-1,1)
{
up(j,1,2*n-1,1)
{
if(a[i][j]!=a[i][j-1])
break;
}
if(j==2*n)
{
ans[0]=i;
break;
}
}
up(i,0,n-1,1)
{
int cnt=0;
mem(vis,0);
up(j,0,2*n-1,2)
{
if(!vis[a[i][j]])
{
vis[a[i][j]]=1;
cnt++;
}
}
if(cnt==1&&ans[0]!=i) ans[1]=i;
else if(cnt!=1)ans[cnt]=i;
}
printf("Case #%d:",cas++);
up(i,0,n-1,1)
printf(" %d",ans[i]);
printf("\n");
}
return 0;
}