#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>
using namespace std;
// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(1) cerr
// END NO SAD
template<class Fun>
class y_combinator_result {
Fun fun_;
public:
template<class T>
explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
template<class ...Args>
decltype(auto) operator()(Args &&...args) {
return fun_(std::ref(*this), std::forward<Args>(args)...);
}
};
template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<vector<ll>> matrix;
void solve() {
int n, m;
cin >> n >> m;
vector<pii> gasprices(n);
for(int i = 0; i < n; i++) {
int x;
cin >> x;
gasprices[i] = {x, i};
}
sort(all(gasprices));
vector<vector<pii>> edges(n);
while(m--) {
int a, b, w;
cin >> a >> b >> w;
a--; b--;
edges[a].eb(b, w);
edges[b].eb(a, w);
}
vector<ll> cost(n, 1e18);
cost[0] = 0;
while(sz(gasprices)) {
auto [currp, src] = gasprices.back(); gasprices.pop_back();
vector<int> dp(n, 2e9);
dp[src] = 0;
priority_queue<pii> q;
q.emplace(-dp[src], src);
while(sz(q)) {
auto [w, v] = q.top(); q.pop();
w *= -1;
if(dp[v] != w) continue;
for(auto [nv, gain]: edges[v]) {
if(dp[v] + gain < dp[nv]) {
dp[nv] = dp[v] + gain;
q.emplace(-dp[nv], nv);
}
}
}
for(int i = 0; i < n; i++) {
cost[i] = min(cost[i], cost[src] + dp[i] * (ll)currp);
}
}
cout << cost[n-1] << "\n";
}
// what would chika do
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
// are you doing geometry in floating points
// are you not using modint when you should
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
312 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
151 ms |
460 KB |
Output is correct |
2 |
Correct |
152 ms |
524 KB |
Output is correct |
3 |
Correct |
147 ms |
512 KB |
Output is correct |
4 |
Correct |
146 ms |
460 KB |
Output is correct |
5 |
Correct |
147 ms |
536 KB |
Output is correct |
6 |
Correct |
145 ms |
460 KB |
Output is correct |
7 |
Correct |
153 ms |
460 KB |
Output is correct |
8 |
Correct |
138 ms |
460 KB |
Output is correct |
9 |
Correct |
136 ms |
528 KB |
Output is correct |
10 |
Correct |
136 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
148 ms |
528 KB |
Output is correct |
2 |
Correct |
655 ms |
588 KB |
Output is correct |
3 |
Correct |
667 ms |
588 KB |
Output is correct |
4 |
Correct |
657 ms |
708 KB |
Output is correct |
5 |
Correct |
655 ms |
632 KB |
Output is correct |
6 |
Correct |
795 ms |
656 KB |
Output is correct |
7 |
Correct |
796 ms |
708 KB |
Output is correct |
8 |
Correct |
799 ms |
632 KB |
Output is correct |
9 |
Correct |
662 ms |
596 KB |
Output is correct |
10 |
Correct |
662 ms |
604 KB |
Output is correct |
11 |
Correct |
659 ms |
596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
312 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
8 ms |
356 KB |
Output is correct |
15 |
Correct |
9 ms |
316 KB |
Output is correct |
16 |
Correct |
7 ms |
332 KB |
Output is correct |
17 |
Correct |
46 ms |
332 KB |
Output is correct |
18 |
Correct |
48 ms |
424 KB |
Output is correct |
19 |
Correct |
20 ms |
372 KB |
Output is correct |
20 |
Correct |
19 ms |
332 KB |
Output is correct |
21 |
Correct |
22 ms |
332 KB |
Output is correct |
22 |
Correct |
20 ms |
372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
312 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
151 ms |
460 KB |
Output is correct |
15 |
Correct |
152 ms |
524 KB |
Output is correct |
16 |
Correct |
147 ms |
512 KB |
Output is correct |
17 |
Correct |
146 ms |
460 KB |
Output is correct |
18 |
Correct |
147 ms |
536 KB |
Output is correct |
19 |
Correct |
145 ms |
460 KB |
Output is correct |
20 |
Correct |
153 ms |
460 KB |
Output is correct |
21 |
Correct |
138 ms |
460 KB |
Output is correct |
22 |
Correct |
136 ms |
528 KB |
Output is correct |
23 |
Correct |
136 ms |
460 KB |
Output is correct |
24 |
Correct |
148 ms |
528 KB |
Output is correct |
25 |
Correct |
655 ms |
588 KB |
Output is correct |
26 |
Correct |
667 ms |
588 KB |
Output is correct |
27 |
Correct |
657 ms |
708 KB |
Output is correct |
28 |
Correct |
655 ms |
632 KB |
Output is correct |
29 |
Correct |
795 ms |
656 KB |
Output is correct |
30 |
Correct |
796 ms |
708 KB |
Output is correct |
31 |
Correct |
799 ms |
632 KB |
Output is correct |
32 |
Correct |
662 ms |
596 KB |
Output is correct |
33 |
Correct |
662 ms |
604 KB |
Output is correct |
34 |
Correct |
659 ms |
596 KB |
Output is correct |
35 |
Correct |
8 ms |
356 KB |
Output is correct |
36 |
Correct |
9 ms |
316 KB |
Output is correct |
37 |
Correct |
7 ms |
332 KB |
Output is correct |
38 |
Correct |
46 ms |
332 KB |
Output is correct |
39 |
Correct |
48 ms |
424 KB |
Output is correct |
40 |
Correct |
20 ms |
372 KB |
Output is correct |
41 |
Correct |
19 ms |
332 KB |
Output is correct |
42 |
Correct |
22 ms |
332 KB |
Output is correct |
43 |
Correct |
20 ms |
372 KB |
Output is correct |
44 |
Correct |
191 ms |
524 KB |
Output is correct |
45 |
Correct |
299 ms |
460 KB |
Output is correct |
46 |
Correct |
325 ms |
536 KB |
Output is correct |
47 |
Correct |
674 ms |
636 KB |
Output is correct |
48 |
Correct |
657 ms |
632 KB |
Output is correct |
49 |
Correct |
572 ms |
588 KB |
Output is correct |
50 |
Correct |
571 ms |
708 KB |
Output is correct |
51 |
Correct |
584 ms |
596 KB |
Output is correct |
52 |
Correct |
572 ms |
588 KB |
Output is correct |