1674: [Usaco2005]Part Acquisition
Time Limit: 5 Sec Memory Limit: 64 MBSubmit: 308 Solved: 143
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Description
The cows have been sent on a mission through space to acquire a new milking machine for their barn. They are flying through a cluster of stars containing N (1 <= N <= 50,000) planets, each with a trading post. The cows have determined which of K (1 <= K <= 1,000) types of objects (numbered 1..K) each planet in the cluster desires, and which products they have to trade. No planet has developed currency, so they work under the barter system: all trades consist of each party trading exactly one object (presumably of different types). The cows start from Earth with a canister of high quality hay (item 1), and they desire a new milking machine (item K). Help them find the best way to make a series of trades at the planets in the cluster to get item K. If this task is impossible, output -1.
Input
* Line 1: Two space-separated integers, N and K. * Lines 2..N+1: Line i+1 contains two space-separated integers, a_i and b_i respectively, that are planet i's trading trading products. The planet will give item b_i in order to receive item a_i.
Output
* Line 1: One more than the minimum number of trades to get the milking machine which is item K (or -1 if the cows cannot obtain item K).
Sample Input
6 5 //6个星球,希望得到5,开始时你手中有1号货物.
1 3 //1号星球,希望得到1号货物,将给你3号货物
3 2
2 3
3 1
2 5
5 4
1 3 //1号星球,希望得到1号货物,将给你3号货物
3 2
2 3
3 1
2 5
5 4
Sample Output
4
OUTPUT DETAILS:
The cows possess 4 objects in total: first they trade object 1 for
object 3, then object 3 for object 2, then object 2 for object 5.
OUTPUT DETAILS:
The cows possess 4 objects in total: first they trade object 1 for
object 3, then object 3 for object 2, then object 2 for object 5.
HINT
Source
抄了个堆优化dijkstra的模板……
#include<iostream> #include<cstdio> #include<cstring> #include<cstdlib> #include<algorithm> #include<queue> #include<map> #define inf 1000000000 #define pa pair<int,int> using namespace std; int n,m,cnt,dis[1005],head[1005]; bool vis[1005]; int next[50005],list[50005],key[50005]; inline int read() { int a=0,f=1; char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1; c=getchar();} while (c>='0'&&c<='9') {a=a*10+c-'0'; c=getchar();} return a*f; } inline void insert(int u,int v,int w) { next[++cnt]=head[u]; head[u]=cnt; list[cnt]=v; key[cnt]=w; } inline void dijkstra() { priority_queue<pa,vector<pa>,greater<pa> > q; for (int i=1;i<=n;i++) dis[i]=inf,vis[i]=0; dis[1]=0; q.push(make_pair(0,1)); while (!q.empty()) { int now=q.top().second; q.pop(); if (vis[now]) continue; vis[now]=1; for (int i=head[now];i;i=next[i]) { if (dis[list[i]]>dis[now]+key[i]) { dis[list[i]]=dis[now]+key[i]; q.push(make_pair(dis[list[i]],list[i])); } } } } int main() { m=read(); n=read(); for (int i=1;i<=m;i++) { int u=read(),v=read(); insert(u,v,1); } dijkstra(); if (dis[n]==inf) puts("-1"); else printf("%d",dis[n]+1); return 0; }