uva 10801 - Lift Hopping
2012-11-28 11:25
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乘坐电梯 寻找最短时间的路线 即最短路问题
d[e.to]>d[u]+e.dist+60 最后输出的时候减去60 因为第一次换电梯不需要时间
// 需要注意的是k==0时 要进行特判 不然会输出-60、
#include<cstdio>
#include<cstring>
#include<vector>
#include<queue>
#include<cstdlib>
#define maxn 100001
using namespace std;
struct Edge
{
int from,to,dist;
};
struct heapnode
{
int d,u;
bool operator < (const heapnode &rhs) const
{
return d>rhs.d;
}
};
vector<Edge> edges;
vector<int> G[maxn];
bool done[maxn];
int p[maxn];
int d[maxn];
int n,num[maxn],t[10],k;
void init(int n)
{
//this->n=n;
for(int i = 0; i <= maxn; i++)
G[i].clear();
edges.clear();
}
void Addedge(int from,int to,int dist)
{
edges.push_back((Edge)
{
from,to,dist
});
int m = edges.size();
G[from].push_back(m-1);
}
void dijkstra(int s)
{
int INF = 1<<30;
priority_queue<heapnode> Q;
for(int i = 0; i <= maxn; i++)
d[i] = INF;
d[s] = 0;
memset(done,0,sizeof(done));
Q.push((heapnode)
{
0,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]];
if(d[e.to]>d[u]+e.dist+60)
{
d[e.to] = d[u]+e.dist+60;
p[e.to] = G[u][i];
Q.push((heapnode)
{
d[e.to],e.to
});
}
}
}
}
int build(int l,int te)
{
for(int i = 0; i < l; i++)
for(int j = 0; j < l; j++)
if(i!=j)
{
int x = abs(num[j]-num[i])*te;
Addedge(num[i],num[j],x);
}
}
int main()
{
while(scanf("%d %d",&n,&k)==2)
{
init(maxn);
for(int i = 0; i < n; i++)
scanf("%d",&t[i]);
for(int i = 0; i < n; i++)
{
int l=0;
memset(num,0,sizeof(num));
while(1)
{
scanf("%d",&num[l++]);
if(getchar()=='\n') break;
}
build(l,t[i]);
}
dijkstra(0);
if(d[k]==1<<30)
puts("IMPOSSIBLE");
else if(k==0)
printf("0\n");
else
printf("%d\n",d[k]-60);
}
return 0;
}
d[e.to]>d[u]+e.dist+60 最后输出的时候减去60 因为第一次换电梯不需要时间
// 需要注意的是k==0时 要进行特判 不然会输出-60、
#include<cstdio>
#include<cstring>
#include<vector>
#include<queue>
#include<cstdlib>
#define maxn 100001
using namespace std;
struct Edge
{
int from,to,dist;
};
struct heapnode
{
int d,u;
bool operator < (const heapnode &rhs) const
{
return d>rhs.d;
}
};
vector<Edge> edges;
vector<int> G[maxn];
bool done[maxn];
int p[maxn];
int d[maxn];
int n,num[maxn],t[10],k;
void init(int n)
{
//this->n=n;
for(int i = 0; i <= maxn; i++)
G[i].clear();
edges.clear();
}
void Addedge(int from,int to,int dist)
{
edges.push_back((Edge)
{
from,to,dist
});
int m = edges.size();
G[from].push_back(m-1);
}
void dijkstra(int s)
{
int INF = 1<<30;
priority_queue<heapnode> Q;
for(int i = 0; i <= maxn; i++)
d[i] = INF;
d[s] = 0;
memset(done,0,sizeof(done));
Q.push((heapnode)
{
0,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]];
if(d[e.to]>d[u]+e.dist+60)
{
d[e.to] = d[u]+e.dist+60;
p[e.to] = G[u][i];
Q.push((heapnode)
{
d[e.to],e.to
});
}
}
}
}
int build(int l,int te)
{
for(int i = 0; i < l; i++)
for(int j = 0; j < l; j++)
if(i!=j)
{
int x = abs(num[j]-num[i])*te;
Addedge(num[i],num[j],x);
}
}
int main()
{
while(scanf("%d %d",&n,&k)==2)
{
init(maxn);
for(int i = 0; i < n; i++)
scanf("%d",&t[i]);
for(int i = 0; i < n; i++)
{
int l=0;
memset(num,0,sizeof(num));
while(1)
{
scanf("%d",&num[l++]);
if(getchar()=='\n') break;
}
build(l,t[i]);
}
dijkstra(0);
if(d[k]==1<<30)
puts("IMPOSSIBLE");
else if(k==0)
printf("0\n");
else
printf("%d\n",d[k]-60);
}
return 0;
}
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