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Submission #367409

# Submission time Handle Problem Language Result Execution time Memory
367409 2021-02-17T08:30:55 Z arujbansal Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 2382 ms 164300 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#include <map>
#include <set>
#include <array>
#include <stack>
#include <queue>
#include <random>
#include <numeric>
#include <functional>
#include <chrono>
#include <utility>
#include <iomanip>
#include <assert.h>

using namespace std;

void dbg_out() { cerr << endl; }
template<typename Head, typename... Tail>
void dbg_out(Head H, Tail... T) { cerr << ' ' << H; dbg_out(T...); }
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)

#define rng_init mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define rng_seed(x) mt19937 rng(x)
#define all(x) (x).begin(), (x).end()
#define sz(x) (int) (x).size()
// #define int long long

const int MXN = 1e5 + 5, INF = 1e9 + 5;
int N, M, K;
int par[MXN];
vector<pair<int, int>> g[MXN];
vector<array<int, 3>> edges;

vector<int> dijkstra(const vector<int> &src) {
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<>> pq;
    vector<int> dist(N, INF);

    for (int i = 0; i < N; i++)
        par[i] = i;

    for (const auto &x : src) {
        dist[x] = 0;
        pq.emplace(0, x);
    }

    while (!pq.empty()) {
        auto cur = pq.top();
        pq.pop();

        int u = cur.second, cur_dist = cur.first;
        if (cur_dist != dist[u]) continue;

        for (const auto &[v, wt] : g[u]) {
            int new_dist = cur_dist + wt;

            if (new_dist < dist[v]) {
                dist[v] = new_dist;
                pq.emplace(new_dist, v);

                par[v] = par[u];
            }
        }
    }

    return dist;
}

array<int, 3> best_pair(const vector<int> &dist) {
    pair<int, int> points = {-1, -1};
    int points_dist = INF;

    for (const auto &[u, v, w] : edges) {
        if (par[u] == par[v]) continue;

        int cur_dist = dist[u] + dist[v] + w;

        if (cur_dist < points_dist) {
            points.first = par[u];
            points.second = par[v];

            points_dist = cur_dist;
        }
    }

    return array<int, 3>{points.first, points.second, points_dist};
}

void solve() {
    cin >> N >> M >> K;

    for (int i = 0; i < M; i++) {
        int u, v, w;
        cin >> u >> v >> w;
        u--, v--;

        edges.push_back({u, v, w});

        g[u].emplace_back(v, w);
        g[v].emplace_back(u, w);
    }

    vector<int> special(K);
    for (auto &x : special) {
        cin >> x;
        x--;
    }

    vector<int> dist_special = dijkstra(special);

    array<int, 3> points1 = best_pair(dist_special);

    vector<int> special_new;
    for (const auto &x : special) {
        if (x == points1[0] || x == points1[1]) continue;

        special_new.push_back(x);
    }

    vector<int> dist_special_new = dijkstra(special_new);

    array<int, 3> points2 = best_pair(dist_special_new);

    int ans = points1[2] + points2[2];

    vector<int> dist1 = dijkstra(vector<int>{points1[0]});
    vector<int> dist2 = dijkstra(vector<int>{points1[1]});

    set<pair<int, int>> dist2_set;
    for (const auto &i : special) {
        if (i == points1[0] || i == points1[1]) continue;

        dist2_set.insert({dist2[i], i});
    }

    for (const auto &i : special) {
        if (i == points1[0] || i == points1[1]) continue;

        dist2_set.erase({dist2[i], i});
        pair<int, int> dist2_best = *dist2_set.begin();
        dist2_set.insert({dist2[i], i});

        ans = min(ans, dist1[i] + dist2_best.first);
    }

    cout << ans;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int TC = 1;
    // cin >> TC;
    while (TC--) solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2816 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 3 ms 2668 KB Output is correct
13 Correct 2 ms 2796 KB Output is correct
14 Correct 2 ms 2796 KB Output is correct
15 Correct 3 ms 2816 KB Output is correct
16 Correct 2 ms 2668 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2668 KB Output is correct
19 Correct 2 ms 2796 KB Output is correct
20 Correct 2 ms 2668 KB Output is correct
21 Correct 2 ms 2796 KB Output is correct
22 Correct 2 ms 2668 KB Output is correct
23 Correct 2 ms 2668 KB Output is correct
24 Correct 2 ms 2668 KB Output is correct
25 Correct 2 ms 2668 KB Output is correct
26 Correct 2 ms 2668 KB Output is correct
27 Correct 2 ms 2668 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 2 ms 2796 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2816 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 3 ms 2668 KB Output is correct
13 Correct 2 ms 2796 KB Output is correct
14 Correct 2 ms 2796 KB Output is correct
15 Correct 3 ms 2816 KB Output is correct
16 Correct 2 ms 2668 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2668 KB Output is correct
19 Correct 2 ms 2796 KB Output is correct
20 Correct 2 ms 2668 KB Output is correct
21 Correct 2 ms 2796 KB Output is correct
22 Correct 2 ms 2668 KB Output is correct
23 Correct 2 ms 2668 KB Output is correct
24 Correct 2 ms 2668 KB Output is correct
25 Correct 2 ms 2668 KB Output is correct
26 Correct 2 ms 2668 KB Output is correct
27 Correct 2 ms 2668 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 2 ms 2796 KB Output is correct
31 Correct 2 ms 2668 KB Output is correct
32 Correct 3 ms 2944 KB Output is correct
33 Correct 3 ms 2796 KB Output is correct
34 Correct 2 ms 2668 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 4 ms 2924 KB Output is correct
37 Correct 5 ms 3052 KB Output is correct
38 Correct 3 ms 2796 KB Output is correct
39 Correct 32 ms 7076 KB Output is correct
40 Correct 11 ms 3820 KB Output is correct
41 Correct 3 ms 2796 KB Output is correct
42 Correct 9 ms 3820 KB Output is correct
43 Correct 4 ms 2924 KB Output is correct
44 Correct 3 ms 2796 KB Output is correct
45 Correct 2 ms 2668 KB Output is correct
46 Correct 35 ms 7456 KB Output is correct
47 Correct 7 ms 3308 KB Output is correct
48 Correct 28 ms 7076 KB Output is correct
49 Correct 30 ms 7204 KB Output is correct
50 Correct 2 ms 2796 KB Output is correct
51 Correct 3 ms 2796 KB Output is correct
52 Correct 2 ms 2796 KB Output is correct
53 Correct 18 ms 5028 KB Output is correct
54 Correct 31 ms 7076 KB Output is correct
55 Correct 2 ms 2796 KB Output is correct
56 Correct 2 ms 2668 KB Output is correct
57 Correct 3 ms 2796 KB Output is correct
58 Correct 42 ms 7840 KB Output is correct
59 Correct 2 ms 2668 KB Output is correct
60 Correct 3 ms 2796 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 9232 KB Output is correct
2 Correct 8 ms 5356 KB Output is correct
3 Correct 2049 ms 139696 KB Output is correct
4 Correct 1012 ms 61056 KB Output is correct
5 Correct 196 ms 14876 KB Output is correct
6 Correct 153 ms 12856 KB Output is correct
7 Correct 235 ms 16304 KB Output is correct
8 Correct 86 ms 9376 KB Output is correct
9 Correct 145 ms 12196 KB Output is correct
10 Correct 105 ms 10408 KB Output is correct
11 Correct 2128 ms 142220 KB Output is correct
12 Correct 110 ms 10784 KB Output is correct
13 Correct 774 ms 40576 KB Output is correct
14 Correct 349 ms 17216 KB Output is correct
15 Correct 2013 ms 139668 KB Output is correct
16 Correct 54 ms 8868 KB Output is correct
17 Correct 1369 ms 94720 KB Output is correct
18 Correct 8 ms 5484 KB Output is correct
19 Correct 2085 ms 144512 KB Output is correct
20 Correct 209 ms 15900 KB Output is correct
21 Correct 184 ms 14236 KB Output is correct
22 Correct 102 ms 10016 KB Output is correct
23 Correct 28 ms 7716 KB Output is correct
24 Correct 1549 ms 106476 KB Output is correct
25 Correct 157 ms 12192 KB Output is correct
26 Correct 85 ms 9384 KB Output is correct
27 Correct 115 ms 11040 KB Output is correct
28 Correct 17 ms 6568 KB Output is correct
29 Correct 203 ms 15900 KB Output is correct
30 Correct 527 ms 29840 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2816 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 3 ms 2668 KB Output is correct
13 Correct 2 ms 2796 KB Output is correct
14 Correct 2 ms 2796 KB Output is correct
15 Correct 3 ms 2816 KB Output is correct
16 Correct 2 ms 2668 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2668 KB Output is correct
19 Correct 2 ms 2796 KB Output is correct
20 Correct 2 ms 2668 KB Output is correct
21 Correct 2 ms 2796 KB Output is correct
22 Correct 2 ms 2668 KB Output is correct
23 Correct 2 ms 2668 KB Output is correct
24 Correct 2 ms 2668 KB Output is correct
25 Correct 2 ms 2668 KB Output is correct
26 Correct 2 ms 2668 KB Output is correct
27 Correct 2 ms 2668 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 2 ms 2796 KB Output is correct
31 Correct 2 ms 2668 KB Output is correct
32 Correct 3 ms 2944 KB Output is correct
33 Correct 3 ms 2796 KB Output is correct
34 Correct 2 ms 2668 KB Output is correct
35 Correct 2 ms 2688 KB Output is correct
36 Correct 4 ms 2924 KB Output is correct
37 Correct 5 ms 3052 KB Output is correct
38 Correct 3 ms 2796 KB Output is correct
39 Correct 32 ms 7076 KB Output is correct
40 Correct 11 ms 3820 KB Output is correct
41 Correct 3 ms 2796 KB Output is correct
42 Correct 9 ms 3820 KB Output is correct
43 Correct 4 ms 2924 KB Output is correct
44 Correct 3 ms 2796 KB Output is correct
45 Correct 2 ms 2668 KB Output is correct
46 Correct 35 ms 7456 KB Output is correct
47 Correct 7 ms 3308 KB Output is correct
48 Correct 28 ms 7076 KB Output is correct
49 Correct 30 ms 7204 KB Output is correct
50 Correct 2 ms 2796 KB Output is correct
51 Correct 3 ms 2796 KB Output is correct
52 Correct 2 ms 2796 KB Output is correct
53 Correct 18 ms 5028 KB Output is correct
54 Correct 31 ms 7076 KB Output is correct
55 Correct 2 ms 2796 KB Output is correct
56 Correct 2 ms 2668 KB Output is correct
57 Correct 3 ms 2796 KB Output is correct
58 Correct 42 ms 7840 KB Output is correct
59 Correct 2 ms 2668 KB Output is correct
60 Correct 3 ms 2796 KB Output is correct
61 Correct 70 ms 9232 KB Output is correct
62 Correct 8 ms 5356 KB Output is correct
63 Correct 2049 ms 139696 KB Output is correct
64 Correct 1012 ms 61056 KB Output is correct
65 Correct 196 ms 14876 KB Output is correct
66 Correct 153 ms 12856 KB Output is correct
67 Correct 235 ms 16304 KB Output is correct
68 Correct 86 ms 9376 KB Output is correct
69 Correct 145 ms 12196 KB Output is correct
70 Correct 105 ms 10408 KB Output is correct
71 Correct 2128 ms 142220 KB Output is correct
72 Correct 110 ms 10784 KB Output is correct
73 Correct 774 ms 40576 KB Output is correct
74 Correct 349 ms 17216 KB Output is correct
75 Correct 2013 ms 139668 KB Output is correct
76 Correct 54 ms 8868 KB Output is correct
77 Correct 1369 ms 94720 KB Output is correct
78 Correct 8 ms 5484 KB Output is correct
79 Correct 2085 ms 144512 KB Output is correct
80 Correct 209 ms 15900 KB Output is correct
81 Correct 184 ms 14236 KB Output is correct
82 Correct 102 ms 10016 KB Output is correct
83 Correct 28 ms 7716 KB Output is correct
84 Correct 1549 ms 106476 KB Output is correct
85 Correct 157 ms 12192 KB Output is correct
86 Correct 85 ms 9384 KB Output is correct
87 Correct 115 ms 11040 KB Output is correct
88 Correct 17 ms 6568 KB Output is correct
89 Correct 203 ms 15900 KB Output is correct
90 Correct 527 ms 29840 KB Output is correct
91 Correct 191 ms 12064 KB Output is correct
92 Correct 2145 ms 153544 KB Output is correct
93 Correct 301 ms 17052 KB Output is correct
94 Correct 1300 ms 88164 KB Output is correct
95 Correct 8 ms 5484 KB Output is correct
96 Correct 9 ms 5612 KB Output is correct
97 Correct 413 ms 22160 KB Output is correct
98 Correct 195 ms 12064 KB Output is correct
99 Correct 154 ms 12448 KB Output is correct
100 Correct 2230 ms 163028 KB Output is correct
101 Correct 967 ms 59648 KB Output is correct
102 Correct 944 ms 58880 KB Output is correct
103 Correct 1654 ms 109896 KB Output is correct
104 Correct 1954 ms 139560 KB Output is correct
105 Correct 124 ms 9632 KB Output is correct
106 Correct 1640 ms 110228 KB Output is correct
107 Correct 615 ms 32408 KB Output is correct
108 Correct 319 ms 15644 KB Output is correct
109 Correct 23 ms 7080 KB Output is correct
110 Correct 88 ms 9136 KB Output is correct
111 Correct 314 ms 16176 KB Output is correct
112 Correct 2368 ms 163048 KB Output is correct
113 Correct 2382 ms 164300 KB Output is correct
114 Correct 298 ms 15644 KB Output is correct
115 Correct 969 ms 57088 KB Output is correct
116 Correct 2193 ms 150436 KB Output is correct
117 Correct 1568 ms 107496 KB Output is correct
118 Correct 1439 ms 96064 KB Output is correct
119 Correct 1950 ms 139724 KB Output is correct
120 Correct 1215 ms 78552 KB Output is correct