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Submission #774916

# Submission time Handle Problem Language Result Execution time Memory
774916 2023-07-06T05:40:07 Z t6twotwo Sky Walking (IOI19_walk) C++17
24 / 100
 4000 ms 200384 KB 
#include "walk.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr ll inf = 1e18;
ll min_distance(vector<int> X, vector<int> H, vector<int> L, vector<int> R, vector<int> Y, int s, int g) {
    int N = X.size();
    int M = Y.size();
    if (s == 0 && g == N - 1 && (*min_element(H.begin(), H.end())) == (*max_element(H.begin(), H.end()))) {
        vector<set<pair<int, int>>> SL(N), SR(N);
        for (int i = 0; i < M; i++) {
            SL[L[i]].emplace(Y[i], i);
            SR[R[i]].emplace(Y[i], i);
        }
        vector<int> ord(M);
        iota(ord.begin(), ord.end(), 0);
        sort(ord.begin(), ord.end(), [&](int i, int j) {
            return R[i] < R[j];
        });
        vector<ll> dp(M, inf);
        for (auto [y, z] : SL[0]) {
            dp[z] = y + X[R[z]] - X[L[z]];
        }
        for (int i = 0; i < M; i++) {
            int u = ord[i];
            for (int j = i - 1; j >= 0; j--) {
                int v = ord[j];
                if (R[v] < L[u]) {
                    break;
                }
                dp[u] = min(dp[u], dp[v] + abs(Y[u] - Y[v]) + X[R[u]] - X[R[v]]);
            }
        }
        ll ans = inf;
        for (auto [y, z] : SR[N - 1]) {
            ans = min(ans, dp[z] + y);
        }
        if (ans == inf) {
            ans = -1;
        }
        return ans;
    }
    map<pair<int, int>, int> mp;
    vector<pair<int, int>> p;
    for (int i = 0; i < N; i++) {
        mp[{X[i], 0}] = i;
        p.emplace_back(X[i], 0);
    }
    vector<vector<pair<int, int>>> adj(N);
    vector<tuple<int, int, int>> T(N + M);
    for (int i = 0; i < N; i++) {
        T[i] = {H[i], 1, i};
    }
    for (int i = 0; i < M; i++) {
        T[N + i] = {Y[i], 0, i};
    }
    sort(T.rbegin(), T.rend());
    set<int> S;
    int q;
    for (auto [y, t, k] : T) {
        if (t == 1) {
            S.insert(k);
        } else {
            q = -1;
            auto it = S.lower_bound(L[k]);
            while (it != S.end() && (*it) <= R[k]) {
                int z = *it, w; it++;
                if (!mp.count({X[z], y})) {
                    mp[{X[z], y}] = w = p.size();
                    p.emplace_back(X[z], y);
                    adj.push_back({});
                } else {
                    w = mp[{X[z], y}];
                }
                if (q != -1) {
                    adj[q].emplace_back(w, X[z] - p[q].first);
                    adj[w].emplace_back(q, X[z] - p[q].first);
                }
                q = w;
            }
        }
    }
    q = -1;
    for (auto [P, k] : mp) {
        auto [x, y] = P;
        if (q != -1 && p[q].first == x) {
            adj[k].emplace_back(q, y - p[q].second);
            adj[q].emplace_back(k, y - p[q].second);
        }
        q = k;
    }
    int K = adj.size();
    vector<ll> dis(K, -1);
    priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
    pq.emplace(0, s);
    while (!pq.empty()) {
        auto [d, x] = pq.top();
        pq.pop();
        if (dis[x] != -1) {
            continue;
        }
        dis[x] = d;
        for (auto [y, z] : adj[x]) {
            pq.emplace(d + z, y);
        }
    }
    return dis[g];
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 300 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 424 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 428 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1248 ms 128804 KB Output is correct
4 Correct 1161 ms 145960 KB Output is correct
5 Correct 683 ms 127432 KB Output is correct
6 Correct 604 ms 113236 KB Output is correct
7 Correct 706 ms 127548 KB Output is correct
8 Correct 1657 ms 164868 KB Output is correct
9 Correct 914 ms 124392 KB Output is correct
10 Correct 1764 ms 200384 KB Output is correct
11 Correct 617 ms 71588 KB Output is correct
12 Correct 401 ms 53968 KB Output is correct
13 Correct 1419 ms 176252 KB Output is correct
14 Correct 287 ms 52152 KB Output is correct
15 Correct 325 ms 54000 KB Output is correct
16 Correct 337 ms 55404 KB Output is correct
17 Correct 346 ms 53252 KB Output is correct
18 Correct 243 ms 57804 KB Output is correct
19 Correct 11 ms 2928 KB Output is correct
20 Correct 95 ms 27340 KB Output is correct
21 Correct 312 ms 52200 KB Output is correct
22 Correct 349 ms 55968 KB Output is correct
23 Correct 354 ms 71084 KB Output is correct
24 Correct 321 ms 55796 KB Output is correct
25 Correct 367 ms 53804 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 7708 KB Output is correct
2 Correct 2537 ms 13320 KB Output is correct
3 Correct 2680 ms 14312 KB Output is correct
4 Correct 2405 ms 24060 KB Output is correct
5 Execution timed out 4083 ms 28236 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 7708 KB Output is correct
2 Correct 2537 ms 13320 KB Output is correct
3 Correct 2680 ms 14312 KB Output is correct
4 Correct 2405 ms 24060 KB Output is correct
5 Execution timed out 4083 ms 28236 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 300 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 424 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 428 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1248 ms 128804 KB Output is correct
21 Correct 1161 ms 145960 KB Output is correct
22 Correct 683 ms 127432 KB Output is correct
23 Correct 604 ms 113236 KB Output is correct
24 Correct 706 ms 127548 KB Output is correct
25 Correct 1657 ms 164868 KB Output is correct
26 Correct 914 ms 124392 KB Output is correct
27 Correct 1764 ms 200384 KB Output is correct
28 Correct 617 ms 71588 KB Output is correct
29 Correct 401 ms 53968 KB Output is correct
30 Correct 1419 ms 176252 KB Output is correct
31 Correct 287 ms 52152 KB Output is correct
32 Correct 325 ms 54000 KB Output is correct
33 Correct 337 ms 55404 KB Output is correct
34 Correct 346 ms 53252 KB Output is correct
35 Correct 243 ms 57804 KB Output is correct
36 Correct 11 ms 2928 KB Output is correct
37 Correct 95 ms 27340 KB Output is correct
38 Correct 312 ms 52200 KB Output is correct
39 Correct 349 ms 55968 KB Output is correct
40 Correct 354 ms 71084 KB Output is correct
41 Correct 321 ms 55796 KB Output is correct
42 Correct 367 ms 53804 KB Output is correct
43 Correct 27 ms 7708 KB Output is correct
44 Correct 2537 ms 13320 KB Output is correct
45 Correct 2680 ms 14312 KB Output is correct
46 Correct 2405 ms 24060 KB Output is correct
47 Execution timed out 4083 ms 28236 KB Time limit exceeded
48 Halted 0 ms 0 KB -