【DP】ZOJ 3605 Find the Marble
2015-04-22 21:32
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题意:
N个杯子,开始小球在第S个杯子中,
M次 杯子互换,但是只看到了K次互换,问小球最后在哪个杯子的概率最大
三维记录:第几次互换,第几次看到,球的位置
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
#define ll long long
ll t,n,m,k,d,a[111],b[111],dp[55][55][55];
int main()
{
cin>>t;
while(t--)
{
cin>>n>>m>>k>>d;
for(int i=1;i<=m;i++)
cin>>a[i]>>b[i];
memset(dp,0,sizeof(dp));
for(int i=0;i<=m;i++)
dp[i][0][d]=1;
for(int i=1;i<=m;i++)//m
{
for(int j=1;j<=i&&j<=k;j++)//枚举k
{
dp[i][j][a[i]]+=dp[i-1][j-1][b[i]];//看到
dp[i][j][b[i]]+=dp[i-1][j-1][a[i]];
for(int l=1;l<=n;l++)//没看到
{
dp[i][j][l]+=dp[i-1][j][l];
if(l!=a[i]&&l!=b[i])
dp[i][j][l]+=dp[i-1][j-1][l];
}
}
}
ll Max=0,p;
for(int i=1;i<=n;i++)
{
if(Max<dp[m][k][i])
Max=dp[m][k][i],p=i;
}
cout<<p<<endl;
}
return 0;
}
题意:
N个杯子,开始小球在第S个杯子中,
M次 杯子互换,但是只看到了K次互换,问小球最后在哪个杯子的概率最大
三维记录:第几次互换,第几次看到,球的位置
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
#define ll long long
ll t,n,m,k,d,a[111],b[111],dp[55][55][55];
int main()
{
cin>>t;
while(t--)
{
cin>>n>>m>>k>>d;
for(int i=1;i<=m;i++)
cin>>a[i]>>b[i];
memset(dp,0,sizeof(dp));
for(int i=0;i<=m;i++)
dp[i][0][d]=1;
for(int i=1;i<=m;i++)//m
{
for(int j=1;j<=i&&j<=k;j++)//枚举k
{
dp[i][j][a[i]]+=dp[i-1][j-1][b[i]];//看到
dp[i][j][b[i]]+=dp[i-1][j-1][a[i]];
for(int l=1;l<=n;l++)//没看到
{
dp[i][j][l]+=dp[i-1][j][l];
if(l!=a[i]&&l!=b[i])
dp[i][j][l]+=dp[i-1][j-1][l];
}
}
}
ll Max=0,p;
for(int i=1;i<=n;i++)
{
if(Max<dp[m][k][i])
Max=dp[m][k][i],p=i;
}
cout<<p<<endl;
}
return 0;
}
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