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  • bzoj2973 入门oj4798 石头游戏

    我们人为地搞出来一个全能神,每次调用他他可以给一个节点 (1) 个石头。
    这样,当前的状态就可以由上一秒的状态搞过来,这就像是一个递推。用矩阵加速。

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    using namespace std;
    typedef long long ll;
    int n, m, t, act, len[15], wdt[105], hmn;
    char ss[15][15];
    ll ans;
    struct MATRIX{
    	ll num[105][105];
    	MATRIX operator*(const MATRIX &x)const{
    		MATRIX re;
    		for(int i=0; i<=n*m; i++)
    			for(int j=0; j<=n*m; j++){
    				re.num[i][j] = 0;
    				for(int k=0; k<=n*m; k++)
    					re.num[i][j] += num[i][k] * x.num[k][j];
    			}
    		return re;
    	}
    }yuan, zhu[65], dark, dan;
    int getNum(int x, int y){
    	return (x-1)*m+y;
    }
    void build(int x){
    	for(int i=0; i<=n*m; i++){
    		if(i==0)	zhu[x].num[0][i] = 1;
    		else{
    			int xx=(i-1)/m+1;
    			int yy=i-(xx-1)*m;
    			int pos=(x-1)%len[wdt[i]];
    			char ch=ss[wdt[i]][pos];
    			if(ch>='0' && ch<='9')	zhu[x].num[0][i] = ch - '0', zhu[x].num[i][i] = 1;
    			else if(ch=='D')	;
    			else if(ch=='N' && xx>1)
    				zhu[x].num[i][getNum(xx-1,yy)] = 1;
    			else if(ch=='S' && xx<n)
    				zhu[x].num[i][getNum(xx+1,yy)] = 1;
    			else if(ch=='W' && yy>1)
    				zhu[x].num[i][getNum(xx,yy-1)] = 1;
    			else if(ch=='E' && yy<m)
    				zhu[x].num[i][getNum(xx,yy+1)] = 1;
    		}
    	}
    }
    MATRIX ksm(MATRIX a, int b){
    	MATRIX re=dan;
    	while(b){
    		if(b&1)	re = re * a;
    		a = a * a;
    		b >>= 1;
    	}
    	return re;
    }
    int main(){
    	yuan.num[0][0] = 1;
    	cin>>n>>m>>t>>act;
    	for(int i=0; i<=n*m; i++)
    		dan.num[i][i] = 1;
    	dark = dan;
    	for(int i=1; i<=n; i++)
    		for(int j=1; j<=m; j++)
    			scanf("%1d", &wdt[getNum(i,j)]);
    	for(int i=0; i<act; i++){
    		scanf("%s", ss[i]);
    		len[i] = strlen(ss[i]);
    	}
    	for(int i=1; i<=60; i++){
    		build(i);
    		dark = dark*zhu[i];
    	}
    	hmn = t / 60;
    	t = t - hmn * 60;
    	MATRIX qwq=ksm(dark, hmn);
    	for(int i=1; i<=t; i++)
    		qwq = qwq * zhu[i];
    	qwq = yuan*qwq;
    	for(int i=1; i<=n*m; i++)
    		ans = max(ans, qwq.num[0][i]);
    	cout<<ans<<endl;
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/poorpool/p/8516633.html
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