HDU5521 Meeting【最短路】
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2022-05-22 14:34:03
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题意:一张图,双向边,A在1节点,B在n节点,两人都能动,问他们最短的相遇时间,可以哪些点碰面。给了很多集合,集合内的点相互到达的时间为t
思路:给每个集合建一个点,集合内的点都连到这个点上,分别从A、B跑spfa,取每个点的两次最短距离的最大值,就是在这个点最短的遇见时间。巧妙建图,想不出QWQ
#include<stdio.h>
#include<iostream>
#include<string.h>
#include<string>
#include<stdlib.h>
#include<math.h>
#include<vector>
#include<list>
#include<map>
#include<set>
#include<stack>
#include<queue>
#include<algorithm>
#include<numeric>
#include<functional>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int maxn = 1e6+5;
ll d[maxn],d2[maxn];
int t[maxn],inq[maxn];
int ans[maxn],go;
struct Edge
{
int to,next;
ll val;
}edge[maxn*2];
int head[maxn],tot;
void add(int x,int y,ll val)
{
edge[tot].to = y;
edge[tot].val = val;
edge[tot].next = head[x];
head[x] = tot++;
}
void init(int x)
{
memset(head,-1,sizeof head);
tot = 0;
}
void spfa1(int x)
{
queue<int> q;
while(!q.empty())
q.pop();
memset(inq,0,sizeof inq);
memset(d,0x3f,sizeof d);
d[x] = 0;
q.push(x);
while(!q.empty())
{
int now = q.front();q.pop();
inq[now] = 0;
for(int i = head[now]; i != -1; i = edge[i].next)
{
int temp = edge[i].to;
if(d[now] + edge[i].val < d[temp])
{
d[temp] = d[now] + edge[i].val;
if(!inq[temp])
{
inq[temp] = 1;
q.push(temp);
}
}
}
}
}
void spfa2(int x)
{
queue<int> q;
while(!q.empty())
q.pop();
memset(inq,0,sizeof inq);
memset(d2,0x3f,sizeof d2);
d2[x] = 0;
q.push(x);
while(!q.empty())
{
int now = q.front();q.pop();
inq[now] = 0;
for(int i = head[now]; i != -1; i = edge[i].next)
{
int temp = edge[i].to;
if(d2[now] + edge[i].val < d2[temp])
{
d2[temp] = d2[now] + edge[i].val;
if(!inq[temp])
{
inq[temp] = 1;
q.push(temp);
}
}
}
}
}
int main(void)
{
int n,m,T,kase = 1;
scanf("%d",&T);
while(T--)
{
scanf("%d%d",&n,&m);
init(n);
for(int i = 1; i <= m; i++)
{
int tt,tp;
ll val;
scanf("%lld%d",&val,&tt);
for(int j = 1; j <= tt; j++)
{
scanf("%d",&tp);
add(tp,i+n,val);
add(i+n,tp,val);
}
}
spfa1(1);
spfa2(n);
ll time = 0x3f3f3f3f3f3f3f3f;
go = 0;
for(int i = 1; i <= n; i++)
{
if(max(d[i],d2[i]) < time)
{
time = max(d[i],d2[i]);
go = 0;
ans[go++] = i;
}
else if(max(d[i],d2[i]) == time && time != 0x3f3f3f3f3f3f3f3f)
{
ans[go++] = i;
}
}
if(go == 0)
{
printf("Case #%d: Evil John\n",kase++);
continue;
}
printf("Case #%d: %lld\n",kase++,time/2);
for(int i = 0; i < go; i++)
{
printf("%d%c",ans[i],i == go-1?'\n':' ');
}
}
return 0;
}