A1111 Online Map [dj+dfs]
程序员文章站
2022-06-11 18:03:25
...
**
思路:用两个Dijkstra。一个求最短路径(如果相同求时间最短的那条),一个求最快路径(如果相同求结点数最小的那条)
数组记录结点,dfs遍历输出结点
#include<iostream>
#include<vector>
#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn = 501;
const int inf = 999999999;
int dis[501], Time[501], d[501][501], T[501][501], dispre[501], timepre[501], t1[501], nodenum[501];
bool visit[501];
int st, ed;
vector<int>shortpath, quickpath, temppath;
void dfs_shortpath(int v)
{
shortpath.push_back(v);
if (v == st) return;
dfs_shortpath(dispre[v]);
}
void dfs_quickpath(int v)
{
quickpath.push_back(v);
if (v == st) return;
dfs_quickpath(timepre[v]);
}
int main()
{
fill(dis, dis + 501, inf);
fill(Time, Time + 501, inf);
fill(t1, t1 + 501, inf);
fill(d[0], d[0] + 501 * 501, inf);
fill(T[0], T[0] + 501 * 501, inf);
int n, m;
cin >> n >> m;
int a, b, flag, len, t;
for (int i = 0; i < m; i++)
{
cin >> a >> b >> flag >> len >> t;
d[a][b] = len;
T[a][b] = t;
if (flag != 1)
{
d[b][a] = len;
T[b][a] = t;
}
}
cin >> st >> ed;
dis[st] = 0;
for (int i = 0; i < n; i++)
{
int u = -1, min = inf;
for (int j = 0; j < n; j++)
{
if (visit[j] == false && dis[j] < min)
{
u = j;
min = dis[j];
}
}
if (u == -1) break;
visit[u] = true;
for (int v = 0; v < n; v++)
{
if (visit[v] == false)
{
if (d[u][v] + dis[u] < dis[v])
{
dis[v] = d[u][v] + dis[u];
dispre[v] = u;
t1[v] = T[u][v] + t1[u];
}
else if (d[u][v] + dis[u] == dis[v] && t1[v] > T[u][v] + t1[u])
{
dispre[v] = u;
t1[v] = T[u][v] + t1[u];
}
}
}
}
dfs_shortpath(ed);
Time[st] = 0;
fill(visit, visit + 501, false);
for (int i = 0; i < n; i++)
{
int u = -1, min = inf;
for (int j = 0; j < n; j++)
{
if (visit[j] == false && Time[j] < min)
{
u = j;
min = Time[j];
}
}
if (u == -1) break;
visit[u] = true;
for (int v = 0; v < n; v++)
{
if (visit[v] == false)
{
if (T[u][v] + Time[u] < Time[v])
{
Time[v] = T[u][v] + Time[u];
timepre[v] = u;
nodenum[v] = nodenum[u] + 1;
}
else if (Time[v] == T[u][v] + Time[u]&&nodenum[u]+1<nodenum[v])
{
timepre[v] = u;
nodenum[v] = nodenum[u] + 1;
}
}
}
}
dfs_quickpath(ed);
printf("Distance = %d", dis[ed]);
if (shortpath == quickpath)
{
printf("; Time = %d: ", Time[ed]);
}
else {
printf(": ");
for (int i = shortpath.size() - 1; i >= 0; i--) {
printf("%d", shortpath[i]);
if (i != 0) printf(" -> ");
}
printf("\nTime = %d: ", Time[ed]);
}
for (int i = quickpath.size() - 1; i >= 0; i--) {
printf("%d", quickpath[i]);
if (i != 0) printf(" -> ");
}
return 0;
}
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