Dijstra
1.设定mid=left+(right-left+1)等,二分可以根据自己的需求,产生很好的灵活性
2.其实题目也没有说清楚,这个第二个输出实在模棱两可
#include<iostream>
#include<cstring>
#include<cstdio>
#include<vector>
#include<algorithm>
#include<queue>
#include<map>
#define INF 1e9
using namespace std;
const int maxn = 1000+10;
const int maxm = 1000000+10;
struct Edge
{
int from,to,height,dist;
Edge(int f,int t,int h,int d):from(f),to(t),height(h),dist(d){}
};
struct HeapNode
{
int d,u;
HeapNode(int d,int u):d(d),u(u){}
bool operator<(const HeapNode&rhs)const
{
return d>rhs.d;
}
};
struct Dijkstra
{
int n,m;
vector<Edge> edges;
vector<int> G[maxn];
bool done[maxn];
int d[maxn];
void init(int n)
{
this->n=n;
for(int i=1;i<=n;i++) G[i].clear();
edges.clear();
}
void AddEdge(int from,int to,int height,int dist)
{
edges.push_back(Edge(from,to,height,dist));
m = edges.size();
G[from].push_back(m-1);
}
int dijkstra(int s,int e,int limit)
{
if(s==e) return 0;
priority_queue<HeapNode> Q;
for(int i=1;i<=n;i++) d[i]=INF;
d[s]=0;
memset(done,0,sizeof(done));
Q.push(HeapNode(d[s],s));
while(!Q.empty())
{
HeapNode x=Q.top(); Q.pop();
int u=x.u;
if(done[u]) continue;
done[u]=true;
for(int i=0;i<G[u].size();i++)
{
Edge &e=edges[G[u][i]];
int cur_lmt=e.height;
if(d[e.to] > d[u]+e.dist&&(cur_lmt>=limit||cur_lmt==-1))
{
d[e.to] = d[u]+e.dist;
Q.push(HeapNode(d[e.to],e.to));
}
}
}
if(d[e]==INF) return -1;
return d[e];
}
}DJ;
int n,m;
int main()
{
int cas=1;
while(scanf("%d%d",&n,&m))
{
if(!n&&!m)break;
DJ.init(n);
for(int i=0;i<m;i++)
{
int u,v,h,c;
scanf("%d%d%d%d",&u,&v,&h,&c);
DJ.AddEdge(u,v,h,c);
DJ.AddEdge(v,u,h,c);
}
int u,v,h;
scanf("%d%d%d",&u,&v,&h);
int left=0,right=h;
while(left!=right)
{
int mid=left+(right-left+1)/2;
if(DJ.dijkstra(u,v,mid)==-1)right=mid-1;
else left=mid;
}
int ans=left;
if(cas>=2)printf("\n");
printf("Case %d:\n",cas++);
if(ans>0)
printf("maximum height = %d\nlength of shortest route = %d\n",ans,DJ.dijkstra(u,v,ans));
else
printf("cannot reach destination\n\n");
}
return 0;
}