【LOJ #3084】【GXOI / GZOI2019】—宝牌一大堆(DP)

传送门


首先把国士无双和七对子判掉

实际上可以发现杠根本没用
因为(43)>(44)2{4choose 3}>{4choose 4}*2

f[i][j][k][l][0/1]f[i][j][k][l][0/1]
表示前ii种,已经凑出jj个面子,有k,lk,l个从i1,i2i-1,i-2开始凑的顺子,是否有雀头
枚举当前选择新凑几个顺子,凑刻子,雀头
随便乱dpdp一下就完了

#include<bits/stdc++.h>
using namespace std;
const int RLEN=1<<20|1;
inline char gc(){
    static char ibuf[RLEN],*ib,*ob;
    (ob==ib)&&(ob=(ib=ibuf)+fread(ibuf,1,RLEN,stdin));
    return (ob==ib)?EOF:*ib++;
}
#define gc getchar
inline int read(){
    char ch=gc();
    int res=0,f=1;
    while(!isdigit(ch))f^=ch=='-',ch=gc();
    while(isdigit(ch))res=(res+(res<<2)<<1)+(ch^48),ch=gc();
    return f?res:-res;
}
#define ll long long
#define re register
#define pii pair<int,int>
#define fi first
#define se second
#define pb push_back
#define cs const
#define bg begin
#define poly vector<int>  
inline void chemx(ll &a,ll b){a<b?a=b:0;}
inline void chemn(int &a,int b){a>b?a=b:0;}
cs int N=40;
int a[N],b[N],n;
char s[5];
int tot;
ll q[N],f[N][5][3][3][2],c[5][5],ans;
inline void calc_qdz(){
	for(int i=1;i<=tot;i++)q[i]=0;
	tot=0;ll res=7;
	for(int i=1;i<=34;i++)
		if(a[i]>=2)q[++tot]=c[a[i]][2]*max(1,b[i]<<2);
	if(tot<7)res=0;
	sort(q+1,q+tot+1,greater<int>());
	for(int i=1;i<=7;i++)res*=q[i];
	chemx(ans,res);
}
int gp[14]={0,1,9,10,18,19,27,28,29,30,31,32,33,34};
inline void calc_gsws(){
	ll res=0;
	for(int i=1;i<=13;i++){
		if(a[gp[i]]<2)continue;
		ll tmp=1;
		for(int j=1;j<=13;j++){
			if(i==j)tmp*=c[a[gp[i]]][2]*max(1,b[gp[j]]<<2);
			else tmp*=c[a[gp[j]]][1]*max(1,b[gp[j]]<<1);
		}
		chemx(res,tmp);
	}
	chemx(ans,res*13);
}
inline void calc_342(){
	memset(f,0,sizeof(f));
	f[1][0][0][0][0]=1;
	for(int i=1;i<=34;i++){
		for(int j=0;j<=4;j++){
			for(int k=0;k<=2&&j+k<=4;k++){
				if(k&&(i==10||i==19||i>=28))break;
				for(int l=0;l<=2&&j+k+l<=4;l++){
					if(l&&(i==10||i==19||i>=28))break;
					for(int p=0;p<=a[i]-k-l&&j+p<=4;p++){
						int u=k+l+p;
						for(int o=0;o<=1;o++)
						chemx(f[i+1][j+l][p][k][o],f[i][j][k][l][o]*c[a[i]][u]*max(1,b[i]<<u));
						if(k+p+l<=a[i]-3&&j+l+1<=4){
							u=k+l+p+3;
							for(int o=0;o<=1;o++)
							chemx(f[i+1][j+l+1][p][k][o],f[i][j][k][l][o]*c[a[i]][u]*max(1,b[i]<<u));
						}
						if(k+p+l<=a[i]-2){
							u=l+k+p+2;
							chemx(f[i+1][j+l][p][k][1],f[i][j][k][l][0]*c[a[i]][u]*max(1,b[i]<<u));
						}
					}
				}
			}
		}
	}
	chemx(ans,f[35][4][0][0][1]);
}
inline void solve(){
	for(int i=1;i<=34;i++)a[i]=4,b[i]=0;ans=0;
	while(1){
		scanf("%s",s+1);
		if(strlen(s+1)==1){
			if(s[1]=='0')break;
			switch (s[1]){
				case 'E':a[28]--;break;
				case 'S':a[29]--;break;
				case 'W':a[30]--;break;
				case 'N':a[31]--;break;
				case 'Z':a[32]--;break;
				case 'B':a[33]--;break;
				case 'F':a[34]--;break;
			}
		}
		else{
			switch (s[2]){
				case 'm':a[s[1]-'0']--;break;
				case 'p':a[s[1]-'0'+9]--;break;
				case 's':a[s[1]-'0'+18]--;break;
			}
		}
	}
	while(1){
		scanf("%s",s+1);
		if(strlen(s+1)==1){
			if(s[1]=='0')break;
			switch (s[1]){
				case 'E':b[28]++;break;
				case 'S':b[29]++;break;
				case 'W':b[30]++;break;
				case 'N':b[31]++;break;
				case 'Z':b[32]++;break;
				case 'B':b[33]++;break;
				case 'F':b[34]++;break;
			}
		}
		else{
			switch (s[2]){
				case 'm':b[s[1]-'0']++;break;
				case 'p':b[s[1]-'0'+9]++;break;
				case 's':b[s[1]-'0'+18]++;break;
			}
		}
	}
	calc_qdz();
	calc_gsws();
	calc_342();
	cout<<ans<<'
';
}
inline void init(){
	for(int i=0;i<=4;i++){
		c[i][0]=c[i][i]=1;
		for(int j=1;j<i;j++)
		c[i][j]=c[i-1][j-1]+c[i-1][j];
	}
}
int main(){
	int T=read();init();
	while(T--)solve();
}
原文地址:https://www.cnblogs.com/stargazer-cyk/p/12328486.html