It's not a Bug, it's a Feature! UVA - 658

It's not a Bug, it's a Feature! UVA - 658_第1张图片

analysis

这个是可以抽象为最短路问题的

用状态压缩来表示bug的有无(0没有,1有)

那么就可以把每个bug的状态表示的数看做点,然后就可以从(11111…111)开始,枚举每一个补丁,判断并且进行状态转移

跑一个dij后直接看0号点(00000…000)的距离就可以判断答案了

话说不要乱用map来hash,因为map的每一次操作都是logn的,我就是因为乱用map来Hash导致TLE。。。只有在操作数比较少的时候才适合用map

code

#include 
using namespace std;
#define loop(i,start,end) for(register int i=start;i<=end;++i)
#define anti_loop(i,start,end) for(register int i=start;i>=end;--i)
#define clean(arry,num) memset(arry,num,sizeof(arry))
#define ll long long
template<typename T>void read(T &x){
	x=0;char r=getchar();T neg=1;
	while(r>'9'||r<'0'){if(r=='-')neg=-1;r=getchar();}
	while(r>='0'&&r<='9'){x=(x<<1)+(x<<3)+r-'0';r=getchar();}
	x*=neg;
}
const int maxn=50;
const int maxm=150;
char patch[maxm][2][maxn];
ll cost[maxm];
int n,m;
int nfp;
//vectordis;
ll dis[(1<<21)+10];
struct node{
	int e;
	ll w;
	node():e(0),w(0){}
	node(int e,int w):e(e),w(w){}
	friend bool operator<(node a,node b){
		return a.w>b.w;
	}
};
inline bool check(node f,int acc){
	int state=f.e;
	loop(i,0,n-1)
		if((patch[acc][0][i]=='-'&&(state&(1<<i)))||(patch[acc][0][i]=='+'&&(state&(1<<i))==0))
			return false;
	return true;
}
inline int update(node f,int acc){
	int state=f.e;
	loop(i,0,n-1){
		if(patch[acc][1][i]=='+')
			state=state|(1<<i);
		else if(patch[acc][1][i]=='-')
			if(state&(1<<i))
				state=state^(1<<i);
	}
	return state;
}
priority_queue<node>q;
void dijkstra(){
	q.push(node((1<<n)-1,0));
	dis[(1<<n)-1]=0;
	while(q.empty()==false){
		node f=q.top();
		int staf=f.e;
		q.pop();
		loop(i,1,m){
			if(check(f,i)){
				int v=update(f,i);
				if(v==staf)
					continue;
				if(dis[v]>dis[f.e]+cost[i]){
					dis[v]=dis[f.e]+cost[i];
					q.push(node(v,dis[v]));
				}
			}
		}
	}
	if(dis[0]>=0x3f3f3f3f3f3f3f3f)
		printf("Bugs cannot be fixed.\n");
	else printf("Fastest sequence takes %lld seconds.\n",dis[0]);
}
int main(){
	int cnt=0;
	while(++cnt){
		if(cnt==24){
			int tttt=0;
		}
		read(n);
		read(m);
		if(n==0&&m==0)
			break;
		if(cnt-1)
			printf("\n");
		nfp=0;
		clean(dis,0x3f);
		printf("Product %d\n",cnt);
		loop(i,1,m){
			read(cost[i]);
			scanf("%s",patch[i][0]);
			getchar();
			scanf("%s",patch[i][1]);
		}
		dijkstra();
	}
	printf("\n");
	return 0;
}

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