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Submission #684463

# Submission time Handle Problem Language Result Execution time Memory
684463 2023-01-21T09:54:38 Z JooDdae None (JOI14_ho_t4) C++17
100 / 100
 199 ms 25292 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;


const ll INF = 1e18;
int n, m, X;
ll h[100100];
vector<array<int, 2>> v[300300];

ll d1[100100];
priority_queue<array<ll, 2>> pq;

ll d2[100100];

int main(){
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> m >> X;
    for(int i=1;i<=n;i++) cin >> h[i];
    for(int i=1;i<=m;i++) {
        int a, b, c; cin >> a >> b >> c;
        v[a].push_back({b, c}), v[b].push_back({a, c});
    }

    memset(d1, -1, sizeof d1);
    d1[1] = X; pq.push({X, 1});
    while(!pq.empty()) {
        auto [c, u] = pq.top(); pq.pop();
        if(c < d1[u]) continue;
        for(auto [x, y] : v[u]) if(d1[x] < min(h[x], c-y)) d1[x] = min(h[x], c-y), pq.push({d1[x], x});
    }
    
    if(d1[n] > -1) return cout << X-d1[n] + h[n]-d1[n], 0;


    for(int i=1;i<=n;i++) d2[i] = (d1[i] < 0 ? INF : X);

    for(int i=1;i<=n;i++) if(d1[i] > -1) {
        for(auto [x, y] : v[i]) if(h[i] >= y && y > d1[i]) d2[x] = min(d2[x], X-d1[i] + y-d1[i] + y);
    }

    for(int i=1;i<=n;i++) if(d2[i] < INF) pq.push({-d2[i], i});
    while(!pq.empty()) {
        auto [c, u] = pq.top(); pq.pop();
        if(-c > d2[u]) continue;
        for(auto [x, y] : v[u]) if(h[u] >= y && y+y-c < d2[x]) d2[x] = y+y-c, pq.push({-d2[x], x});
    }
    
    ll ans = d2[n] + h[n];
    cout << (ans >= INF ? -1 : ans);
}

Subtask #1
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 6 ms 8276 KB Output is correct
3 Correct 6 ms 8304 KB Output is correct
4 Correct 5 ms 8172 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 4 ms 8164 KB Output is correct
8 Correct 5 ms 8276 KB Output is correct
9 Correct 5 ms 8276 KB Output is correct
10 Correct 7 ms 8228 KB Output is correct
11 Correct 4 ms 8156 KB Output is correct
12 Correct 5 ms 8276 KB Output is correct
13 Correct 5 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8276 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 4 ms 8164 KB Output is correct
18 Correct 4 ms 8148 KB Output is correct
19 Correct 4 ms 8164 KB Output is correct
20 Correct 5 ms 8148 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 190 ms 25292 KB Output is correct
2 Correct 111 ms 23080 KB Output is correct
3 Correct 92 ms 17432 KB Output is correct
4 Correct 139 ms 23820 KB Output is correct
5 Correct 115 ms 21992 KB Output is correct
6 Correct 9 ms 8924 KB Output is correct
7 Correct 149 ms 23708 KB Output is correct
8 Correct 181 ms 22576 KB Output is correct
9 Correct 153 ms 23484 KB Output is correct
10 Correct 96 ms 19856 KB Output is correct
11 Correct 16 ms 9812 KB Output is correct
12 Correct 84 ms 18272 KB Output is correct
13 Correct 45 ms 14184 KB Output is correct
14 Correct 171 ms 23408 KB Output is correct
15 Correct 8 ms 8660 KB Output is correct
16 Correct 102 ms 21428 KB Output is correct
17 Correct 16 ms 9708 KB Output is correct
18 Correct 18 ms 10084 KB Output is correct
19 Correct 63 ms 14844 KB Output is correct
20 Correct 20 ms 10192 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 6 ms 8276 KB Output is correct
3 Correct 6 ms 8304 KB Output is correct
4 Correct 5 ms 8172 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 4 ms 8164 KB Output is correct
8 Correct 5 ms 8276 KB Output is correct
9 Correct 5 ms 8276 KB Output is correct
10 Correct 7 ms 8228 KB Output is correct
11 Correct 4 ms 8156 KB Output is correct
12 Correct 5 ms 8276 KB Output is correct
13 Correct 5 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8276 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 4 ms 8164 KB Output is correct
18 Correct 4 ms 8148 KB Output is correct
19 Correct 4 ms 8164 KB Output is correct
20 Correct 5 ms 8148 KB Output is correct
21 Correct 190 ms 25292 KB Output is correct
22 Correct 111 ms 23080 KB Output is correct
23 Correct 92 ms 17432 KB Output is correct
24 Correct 139 ms 23820 KB Output is correct
25 Correct 115 ms 21992 KB Output is correct
26 Correct 9 ms 8924 KB Output is correct
27 Correct 149 ms 23708 KB Output is correct
28 Correct 181 ms 22576 KB Output is correct
29 Correct 153 ms 23484 KB Output is correct
30 Correct 96 ms 19856 KB Output is correct
31 Correct 16 ms 9812 KB Output is correct
32 Correct 84 ms 18272 KB Output is correct
33 Correct 45 ms 14184 KB Output is correct
34 Correct 171 ms 23408 KB Output is correct
35 Correct 8 ms 8660 KB Output is correct
36 Correct 102 ms 21428 KB Output is correct
37 Correct 16 ms 9708 KB Output is correct
38 Correct 18 ms 10084 KB Output is correct
39 Correct 63 ms 14844 KB Output is correct
40 Correct 20 ms 10192 KB Output is correct
41 Correct 110 ms 22404 KB Output is correct
42 Correct 26 ms 11748 KB Output is correct
43 Correct 110 ms 20372 KB Output is correct
44 Correct 63 ms 14528 KB Output is correct
45 Correct 112 ms 21180 KB Output is correct
46 Correct 12 ms 9576 KB Output is correct
47 Correct 141 ms 21240 KB Output is correct
48 Correct 199 ms 23880 KB Output is correct
49 Correct 120 ms 20380 KB Output is correct
50 Correct 126 ms 22136 KB Output is correct
51 Correct 26 ms 10668 KB Output is correct
52 Correct 127 ms 23360 KB Output is correct
53 Correct 140 ms 24136 KB Output is correct
54 Correct 135 ms 23428 KB Output is correct
55 Correct 155 ms 23168 KB Output is correct
56 Correct 151 ms 23748 KB Output is correct
57 Correct 33 ms 12620 KB Output is correct
58 Correct 6 ms 8532 KB Output is correct
59 Correct 139 ms 23640 KB Output is correct
60 Correct 39 ms 12496 KB Output is correct