Submission #310947

# Submission time Handle Problem Language Result Execution time Memory
310947 2020-10-08T18:22:17 Z fishy15 Olympic Bus (JOI20_ho_t4) C++17
37 / 100
1000 ms 3704 KB
#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <array>
#include <algorithm>
#include <utility>
#include <map>
#include <queue>
#include <set>
#include <cmath>
#include <cstdio>
#include <cstring>

#define ll unsigned long long
#define ld long double
#define eps 1e-8
#define MOD 1000000007

#define INF 0x3f3f3f3f
#define INFLL 0x003f3f3f3f3f3f3f

// change if necessary
#define MAXN 210

using namespace std;

int n, m;
vector<array<int, 3>> adj[MAXN];
vector<array<int, 3>> radj[MAXN];
ll ans = INFLL;

ll dist_1[MAXN];
ll rdist_1[MAXN];
ll dist_n[MAXN];
ll rdist_n[MAXN];
bool vis[MAXN];

void solve(int rem) {
    for (int i = 0; i < n; i++) {
        dist_1[i] = INFLL;
        dist_n[i] = INFLL;
        rdist_1[i] = INFLL;
        rdist_n[i] = INFLL;
    }

    memset(vis, 0, sizeof vis);

    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
    pq.push({0, 0});
    while (!pq.empty()) {
        auto [d, e] = pq.top();
        pq.pop();
        if (vis[e]) continue;
        vis[e] = true;
        dist_1[e] = d;
        if (e == rem) continue;
        for (auto [u, c, dd] : adj[e]) {
            if (!vis[u] && d + c < dist_1[u]) {
                pq.push({d + c, u});
                dist_1[u] = d + c;
            }
        }
    }

    memset(vis, 0, sizeof vis);
    pq.push({0, n - 1});
    while (!pq.empty()) {
        auto [d, e] = pq.top();
        pq.pop();
        if (vis[e]) continue;
        vis[e] = true;
        rdist_n[e] = d;
        for (auto [u, c, dd] : radj[e]) {
            if (!vis[u] && d + c < rdist_n[u] && u != rem) {
                pq.push({d + c, u});
                rdist_n[u] = d + c;
            }
        }
    }

    memset(vis, 0, sizeof vis);
    pq.push({0, n - 1});
    while (!pq.empty()) {
        auto [d, e] = pq.top();
        pq.pop();
        if (vis[e]) continue;
        vis[e] = true;
        dist_n[e] = d;
        if (e == rem) continue;
        for (auto [u, c, dd] : adj[e]) {
            if (!vis[u] && d + c < dist_n[u]) {
                pq.push({d + c, u});
                dist_n[u] = d + c;
            }
        }
    }

    memset(vis, 0, sizeof vis);
    pq.push({0, 0});
    while (!pq.empty()) {
        auto [d, e] = pq.top();
        pq.pop();
        if (vis[e]) continue;
        vis[e] = true;
        rdist_1[e] = d;
        for (auto [u, c, dd] : radj[e]) {
            if (!vis[u] && d + c < rdist_1[u] && u != rem) {
                pq.push({d + c, u});
                rdist_1[u] = d + c;
            }
        }
    }

    /* cout << "rem " << rem << '\n'; */
    /* for (int i = 0; i < n; i++) { */
    /*     cout << dist_1[i] << ' '; */
    /* } */
    /* cout << '\n'; */
    /* for (int i = 0; i < n; i++) { */
    /*     cout << dist_n[i] << ' '; */
    /* } */
    /* cout << '\n'; */
    /* for (int i = 0; i < n; i++) { */
    /*     cout << rdist_n[i] << ' '; */
    /* } */
    /* cout << '\n'; */
    /* for (int i = 0; i < n; i++) { */
    /*     cout << rdist_1[i] << ' '; */
    /* } */
    /* cout << '\n'; */

    ans = min(ans, dist_1[n - 1] + dist_n[0]);
    if (rem == n || adj[rem].empty()) return;

    // path without flipping
    pair<ll, ll> max_to_n = {dist_1[n - 1], dist_1[n - 1]};
    pair<ll, ll> max_to_1 = {dist_n[0], dist_n[0]};
    pair<ll, ll> r_max_to_1 = {rdist_1[rem], rdist_1[rem]};
    pair<ll, ll> r_max_to_n = {rdist_n[rem], rdist_n[rem]};

    for (const auto &e : adj[rem]) {
        ll to_n = dist_1[rem] + e[1] + rdist_n[e[0]];
        ll to_1 = dist_n[rem] + e[1] + rdist_1[e[0]];

        if (to_n <= max_to_n.first) {
            max_to_n.second = max_to_n.first;
            max_to_n.first = to_n;
        } else if (to_n < max_to_n.second) {
            max_to_n.second = to_n;
        }

        if (to_1 <= max_to_1.first) {
            max_to_1.second = max_to_1.first;
            max_to_1.first = to_1;
        } else if (to_1 < max_to_1.second) {
            max_to_1.second = to_1;
        }

        // no flip best prev path
        ll r_to_n = e[1] + rdist_n[e[0]];
        ll r_to_1 = e[1] + rdist_1[e[0]];

        if (r_to_n <= r_max_to_n.first) {
            r_max_to_n.second = r_max_to_n.first;
            r_max_to_n.first = r_to_n;
        } else if (r_to_n < r_max_to_n.second) {
            r_max_to_n.second = r_to_n;
        }

        if (r_to_1 <= r_max_to_1.first) {
            r_max_to_1.second = r_max_to_1.first;
            r_max_to_1.first = r_to_1;
        } else if (r_to_1 < r_max_to_1.second) {
            r_max_to_1.second = r_to_1;
        }
    }

    /* cout << max_to_n.first << ' ' << max_to_n.second << '\n'; */
    /* cout << max_to_1.first << ' ' << max_to_1.second << '\n'; */

    // consider flipping this
    for (const auto &e : adj[rem]) {
        ll to_n = dist_1[rem] + e[1] + rdist_n[e[0]];
        ll r_to_n = e[1] + rdist_n[e[0]];
        if (to_n == max_to_n.first) {
            to_n = max_to_n.second;
        } else {
            to_n = max_to_n.first;
        }
        if (r_to_n == r_max_to_n.first) {
            r_to_n = r_max_to_n.second;
        } else {
            r_to_n = r_max_to_n.first;
        }
        to_n = min(to_n, dist_1[e[0]] + e[1] + r_to_n);

        ll to_1 = dist_n[rem] + e[1] + rdist_1[e[0]];
        ll r_to_1 = e[1] + rdist_1[e[0]];
        if (to_1 == max_to_1.first) {
            to_1 = max_to_1.second;
        } else {
            to_1 = max_to_1.first;
        }
        if (r_to_1 == r_max_to_1.first) {
            r_to_1 = r_max_to_1.second;
        } else {
            r_to_1 = r_max_to_1.first;
        }
        to_1 = min(to_1, dist_n[e[0]] + e[1] + r_to_1);

        ans = min(ans, to_n + to_1 + e[2]);
    }
}

int main() {
    cin.tie(0)->sync_with_stdio(0);

    cin >> n >> m;
    for (int i = 0; i < m; i++) {
        int u, v, c, d; cin >> u >> v >> c >> d;
        u--; v--;
        adj[u].push_back({v, c, d});
        radj[v].push_back({u, c, d});
    }

    for (int i = 0; i <= n; i++) {
        solve(i);
    }

    if (ans == INFLL) {
        cout << "-1\n";
    } else {
        cout << ans << '\n';
    }

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 17 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 24 ms 384 KB Output is correct
4 Correct 26 ms 512 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 35 ms 384 KB Output is correct
11 Correct 34 ms 384 KB Output is correct
12 Correct 42 ms 504 KB Output is correct
13 Correct 7 ms 384 KB Output is correct
14 Correct 17 ms 384 KB Output is correct
15 Correct 15 ms 384 KB Output is correct
16 Correct 18 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 227 ms 3320 KB Output is correct
2 Correct 217 ms 3232 KB Output is correct
3 Correct 225 ms 3576 KB Output is correct
4 Correct 28 ms 512 KB Output is correct
5 Correct 14 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 93 ms 3448 KB Output is correct
10 Correct 92 ms 3328 KB Output is correct
11 Correct 167 ms 3456 KB Output is correct
12 Correct 165 ms 3584 KB Output is correct
13 Correct 165 ms 3576 KB Output is correct
14 Correct 164 ms 3704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 172 ms 2432 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 211 ms 3192 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 80 ms 3200 KB Output is correct
9 Correct 81 ms 3192 KB Output is correct
10 Correct 161 ms 3200 KB Output is correct
11 Correct 164 ms 3200 KB Output is correct
12 Correct 166 ms 3448 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 162 ms 3448 KB Output is correct
20 Correct 162 ms 3200 KB Output is correct
21 Correct 160 ms 3200 KB Output is correct
22 Correct 160 ms 3192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 24 ms 384 KB Output is correct
4 Correct 26 ms 512 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 35 ms 384 KB Output is correct
11 Correct 34 ms 384 KB Output is correct
12 Correct 42 ms 504 KB Output is correct
13 Correct 7 ms 384 KB Output is correct
14 Correct 17 ms 384 KB Output is correct
15 Correct 15 ms 384 KB Output is correct
16 Correct 18 ms 384 KB Output is correct
17 Correct 227 ms 3320 KB Output is correct
18 Correct 217 ms 3232 KB Output is correct
19 Correct 225 ms 3576 KB Output is correct
20 Correct 28 ms 512 KB Output is correct
21 Correct 14 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 93 ms 3448 KB Output is correct
26 Correct 92 ms 3328 KB Output is correct
27 Correct 167 ms 3456 KB Output is correct
28 Correct 165 ms 3584 KB Output is correct
29 Correct 165 ms 3576 KB Output is correct
30 Correct 164 ms 3704 KB Output is correct
31 Correct 17 ms 384 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 172 ms 2432 KB Output is correct
34 Correct 2 ms 384 KB Output is correct
35 Correct 211 ms 3192 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 80 ms 3200 KB Output is correct
39 Correct 81 ms 3192 KB Output is correct
40 Correct 161 ms 3200 KB Output is correct
41 Correct 164 ms 3200 KB Output is correct
42 Correct 166 ms 3448 KB Output is correct
43 Correct 1 ms 384 KB Output is correct
44 Correct 1 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 162 ms 3448 KB Output is correct
50 Correct 162 ms 3200 KB Output is correct
51 Correct 160 ms 3200 KB Output is correct
52 Correct 160 ms 3192 KB Output is correct
53 Correct 287 ms 3200 KB Output is correct
54 Correct 287 ms 3324 KB Output is correct
55 Correct 291 ms 3320 KB Output is correct
56 Correct 25 ms 416 KB Output is correct
57 Correct 28 ms 384 KB Output is correct
58 Correct 246 ms 2680 KB Output is correct
59 Correct 258 ms 2560 KB Output is correct
60 Correct 260 ms 2560 KB Output is correct
61 Correct 252 ms 2560 KB Output is correct
62 Correct 252 ms 2680 KB Output is correct
63 Correct 258 ms 2560 KB Output is correct
64 Execution timed out 1089 ms 3164 KB Time limit exceeded
65 Halted 0 ms 0 KB -