题目描述:
思路:首先最短路不一定边数最短,所以我们肯定要求出所有的情况取最小值,求出每一天的最短路,dis[day][n],类似于最短路的转移方法就行;
看到现场赛有人暴力dfs加剪枝过的,也是很厉害OVO
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1000 + 7;
int n, m, k;
int ans = 0x3f3f3f3f;
int mp[maxn][maxn], a[12];
bool vis[maxn];
void dfs(int now, int day, int sum) {
if(day > k) return ;
if(sum >= ans) return ;
if(now == n) {
ans = min(ans, sum);
return ;
}
vis[now] = 1;
for(int i = 1; i <= n; i++) {
if(vis[i] || i == now) continue;
dfs(i, day + 1, sum + mp[now][i] + a[day + 1]);
}
vis[now] = 0;
}
int main() {
scanf("%d%d%d", &n, &m, &k);
memset(mp, 0x3f, sizeof(mp));
for(int i = 1; i <= m; i++) {
int u, v, cost;
scanf("%d %d %d", &u, &v, &cost);
mp[u][v] = mp[v][u] = min(mp[u][v], cost);
}
for(int i = 1; i <= k; i++) scanf("%d", a + i);
dfs(1, 0, 0);
if(ans >= 0x3f3f3f3f) puts("-1");
else printf("%lld\n", ans);
return 0;
}
#include<bits/stdc++.h>
using namespace std;
const int INF = 0x3f3f3f3f;
const int N = 1010;
const int M = 20010;
int h[N], e[M], ne[M], w[M], idx;
void add(int a, int b, int c) {
e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx++;
}
int q[N];
int dist[N][N];
int st[N];
int n, m, k;
struct Node{
int u, day, w;
bool operator < (const Node &A) const {
return w > A.w;
}
};
void dijkstra(int fir) {
memset(dist, 0x3f, sizeof dist);
dist[0][fir] = 0;
priority_queue<Node> que;
que.push({fir, 0, 0});
while(!que.empty()) {
Node t = que.top(); que.pop();
int u = t.u, d = t.day;
if(t.w > dist[d][u]) continue;
for(int i = h[u]; i != -1; i = ne[i]) {
int v = e[i];
if(d + 1 <= k && dist[d + 1][v] > dist[d][u] + w[i] + q[d + 1]) {
dist[d + 1][v] = dist[d][u] + w[i] + q[d + 1];
que.push({v, d + 1, dist[d + 1][v]});
}
}
}
}
int main()
{
memset(h, -1, sizeof h);
scanf("%d%d%d", &n, &m, &k);
for(int i = 1; i <= m; i++) {
int a, b, c; scanf("%d%d%d", &a, &b, &c);
add(a, b, c), add(b, a, c);
}
for(int i = 1; i <= k; i++) scanf("%d", &q[i]);
dijkstra(1);
int res = INF;
for(int i = 1; i <= k; i++) res = min(res, dist[i][n]);
if(res >= INF) res = -1;
printf("%d\n", res);
return 0;
} 
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