Currency Exchange(最短路)
Time Limit: 1000MS | Memory Limit: 30000K | |
Total Submissions: 29851 | Accepted: 11245 |
Description
For example, if you want to exchange 100 US Dollars into Russian Rubles at the exchange point, where the exchange rate is 29.75, and the commission is 0.39 you will get (100 - 0.39) * 29.75 = 2963.3975RUR.
You surely know that there are N different currencies you can deal with in our city. Let us assign unique integer number from 1 to N to each currency. Then each exchange point can be described with 6 numbers: integer A and B - numbers of currencies it exchanges, and real RAB, CAB, RBA and CBA - exchange rates and commissions when exchanging A to B and B to A respectively.
Nick has some money in currency S and wonders if he can somehow, after some exchange operations, increase his capital. Of course, he wants to have his money in currency S in the end. Help him to answer this difficult question. Nick must always have non-negative sum of money while making his operations.
Input
For each point exchange rates and commissions are real, given with at most two digits after the decimal point, 10-2<=rate<=102, 0<=commission<=102.
Let us call some sequence of the exchange operations simple if no exchange point is used more than once in this sequence. You may assume that ratio of the numeric values of the sums at the end and at the beginning of any simple sequence of the exchange operations will be less than 104.
Output
Sample Input
3 2 1 20.0 1 2 1.00 1.00 1.00 1.00 2 3 1.10 1.00 1.10 1.00
Sample Output
YES 题目大意:
题目中主要是说存在货币兑换点,然后现在手里有一种货币,要各种换来换去,最后再换回去的时候看能不能使原本的钱数增多,每一种货币都有对应的汇率,而货币A到货币B的汇率即为1货币A换得得货币B的数量,但兑换点是要收取佣金的,且佣金从源货币中扣除,例如,你想在汇率29.75,佣金为0.39的兑换点把100美元换成卢布,得到的卢布数即为(100-0.39)*29.75 = 2963.3975.
样例解释:
3
2 1 20.0 1 2 1.00 1.00 1.00 1.00 2 3 1.10 1.00 1.10 1.00
多组输入,第一行中N代表有N种货币可以互相兑换,M代表有M个货币兑换点,S代表这个人手中的的货币的编号,V代表这个人手中拥有的货币数量,底下M行
每行六个数,A,B代表可以交换的货币A和B,剩下的实数RAB,CAB,RBA,CBA,代表A到B的汇率,佣金,B到A的汇率,佣金。以某种兑换方式增加原本的钱数,而且必须兑换为原来的货币。
#include<queue> #include<cstdio> #include<cstdlib> #include<cstring> #include<iostream> #include<algorithm> #define N 1010 using namespace std; int n,m,head[N],sum[N],tot,num,u,v; bool vis[N]; double dis[N],x,y,xx,yy,money; struct Edge { int u,v,next; double x,y; }edge[N<<]; int add(int u,int v,double x,double y)//注意:传上来的是double类型的,开始时一直传的是int导致wa { tot++;//从1开始用,开始时一直是在后面++,导致一直wa edge[tot].u=u; edge[tot].v=v; edge[tot].x=x; edge[tot].y=y; edge[tot].next=head[u]; head[u]=tot; } void begin() { memset(head,,sizeof(head)); memset(sum,,sizeof(sum)); memset(dis,,sizeof(dis)); memset(vis,false,sizeof(vis)); tot=; } int spfa(int s) { queue<int>q; dis[s]=money; vis[s]=true; q.push(s); while(!q.empty()) { int x=q.front(); q.pop();vis[x]=false; for(int i=head[x];i;i=edge[i].next) { int v=edge[i].v; if(dis[v]<(dis[x]-edge[i].y)*edge[i].x) { dis[v]=(dis[x]-edge[i].y)*edge[i].x; if(!vis[v]) { vis[v]=true; q.push(v); } sum[v]++; if(sum[v]>n) ; } } } ; } int main() { while(scanf("%d %d %d %lf",&n,&m,&num,&money)!=EOF) { begin(); ;i<=m;i++) { scanf("%d %d %lf %lf %lf %lf",&u,&v,&x,&y,&xx,&yy); add(u,v,x,y); add(v,u,xx,yy); } ) printf("NO\n"); else printf("YES\n"); } ; }
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