oj.uz

Submission #310863

# Submission time Handle Problem Language Result Execution time Memory
310863 2020-10-08T09:24:45 Z fishy15 Olympic Bus (JOI20_ho_t4) C++17
0 / 100
 220 ms 2424 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 long long
#define ld long double
#define eps 1e-8
#define MOD 1000000007

#define INF 0x3f3f3f3f
#define INFLL 0x0f3f3f3f3f3f3f3f

// 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;
            }
        }
    }

    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]};

    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;
        }
    }

    // consider flipping this
    for (const auto &e : adj[rem]) {
        ll to_n = dist_1[rem] + 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;
        }
        to_n = min(to_n, dist_1[e[0]] + e[1] + rdist_n[rem]);

        ll to_1 = dist_n[rem] + 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;
        }
        to_1 = min(to_1, dist_n[e[0]] + e[1] + rdist_1[rem]);

        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;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 25 ms 384 KB Output is correct
4 Correct 26 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 36 ms 384 KB Output is correct
11 Correct 36 ms 384 KB Output is correct
12 Incorrect 35 ms 384 KB Output isn't correct
13 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 217 ms 2304 KB Output is correct
2 Incorrect 216 ms 2424 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 168 ms 1664 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 220 ms 2176 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Incorrect 80 ms 2176 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #4
0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 25 ms 384 KB Output is correct
4 Correct 26 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 36 ms 384 KB Output is correct
11 Correct 36 ms 384 KB Output is correct
12 Incorrect 35 ms 384 KB Output isn't correct
13 Halted 0 ms 0 KB -