D. Game with Strings
http://codeforces.com/contest/355/problem/D
这道题问了一下学妹,难道说哥已经老了!!!
首先题意理解上有些问题 比如说
a b c
b d e
f g h
第一个人写下 a ,第二个人写下 b,然后又该第一个人写了,这时候的 b 既可以是上边的 b
也可以是下边的 b 由将要写的人决定
dp[n][1<<20] 中dp[x][y] 表示的意思是到第x步时,选y这个状态为结尾(所对应的字符都相等)
且前面的字符串都一样时,接下来怎么选出的最优解
代码:
#include<iostream>
#include<stack>
#include<cstdio>
#include<queue>
#include<cstring>
#include<algorithm>
#include<vector>
#include<set>
#include<map>
#include<string>
#include<cmath> using namespace std; typedef long long ll;
typedef pair<int,int> pp;
const double eps=1e-6;
const int INF=0x3f3f3f3f;
const int N=41;
int dp[N][1<<20];
char c[N][N];
int a[N][N];
int n;
int dfs(int x,int y)
{
if(dp[x][y]!=INF)
return dp[x][y];
int w=(y|(y<<1));
int s[26]={0};
for(int h=0,x1=x,y1=1;h<n;++h,x1--,y1++)
if((y&(1<<h))&&x1>=1&&y1<=n)
{dp[x][y]=a[x1][y1];break;}
if(x==2*n-1)
return dp[x][y];
for(int h=0,x1=x+1,y1=1;h<n;++h,x1--,y1++)
if((w&(1<<h))&&x1>=1&&y1<=n)
{
int t=c[x1][y1]-'a';
s[t]=(s[t]|(1<<h));
}
int k0=-INF,k1=INF;
for(int i=0;i<26;++i)
if(s[i]>0)
{
k0=max(k0,dfs(x+1,s[i]));
k1=min(k1,dfs(x+1,s[i]));
}
if((x&1))
dp[x][y]+=k1;
else
dp[x][y]+=k0;
return dp[x][y];
}
int main()
{
//freopen("data.in","r",stdin); while(cin>>n)
{
int m=(1<<n);
for(int i=0;i<N;++i)
for(int j=0;j<m;++j)
dp[i][j]=INF;
memset(c,0,sizeof(c));
memset(a,0,sizeof(a));
for(int i=1;i<=n;++i)
for(int j=1;j<=n;++j)
{
cin>>c[i][j];
if(c[i][j]=='a') a[i][j]=1;
if(c[i][j]=='b') a[i][j]=-1;
}
int k=dfs(1,1);
//cout<<k<<endl;
if(k>0)
cout<<"FIRST"<<endl;
if(k<0)
cout<<"SECOND"<<endl;
if(k==0)
cout<<"DRAW"<<endl;
}
//fclose(stdin);
return 0;
}
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