oj.uz

Submission #774919

# Submission time Handle Problem Language Result Execution time Memory
774919 2023-07-06T05:47:33 Z t6twotwo Sky Walking (IOI19_walk) C++17
24 / 100
 4000 ms 199124 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];
            int a = -1, b = -1;
            for (int j = M - 1; j > i; j--) {
                int v = ord[j];
                if (L[v] > R[u]) {
                    continue;
                }
                if (Y[v] >= Y[u]) {
                    if (a == -1 || Y[v] < Y[a]) {
                        a = v;
                    }
                } else {
                    if (b == -1 || Y[v] > Y[b]) {
                        b = v;
                    }
                }
            }
            if (a != -1) {
                dp[a] = min(dp[a], dp[u] + Y[a] - Y[u] + X[R[a]] - X[R[u]]);
            }
            if (b != -1) {
                dp[b] = min(dp[b], dp[u] + Y[u] - Y[b] + X[R[b]] - X[R[u]]);
            }
        }
        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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 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 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 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 340 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1268 ms 127440 KB Output is correct
4 Correct 1154 ms 144784 KB Output is correct
5 Correct 714 ms 126072 KB Output is correct
6 Correct 599 ms 112040 KB Output is correct
7 Correct 709 ms 126216 KB Output is correct
8 Correct 2016 ms 163488 KB Output is correct
9 Correct 977 ms 123028 KB Output is correct
10 Correct 1800 ms 199124 KB Output is correct
11 Correct 690 ms 70412 KB Output is correct
12 Correct 459 ms 52668 KB Output is correct
13 Correct 1462 ms 175080 KB Output is correct
14 Correct 307 ms 50908 KB Output is correct
15 Correct 327 ms 52728 KB Output is correct
16 Correct 370 ms 54120 KB Output is correct
17 Correct 343 ms 51984 KB Output is correct
18 Correct 234 ms 56436 KB Output is correct
19 Correct 8 ms 2800 KB Output is correct
20 Correct 107 ms 25452 KB Output is correct
21 Correct 309 ms 49428 KB Output is correct
22 Correct 352 ms 52780 KB Output is correct
23 Correct 345 ms 68184 KB Output is correct
24 Correct 336 ms 52828 KB Output is correct
25 Correct 422 ms 51032 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 834 ms 7684 KB Output is correct
2 Execution timed out 4078 ms 13268 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 834 ms 7684 KB Output is correct
2 Execution timed out 4078 ms 13268 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 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 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 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 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1268 ms 127440 KB Output is correct
21 Correct 1154 ms 144784 KB Output is correct
22 Correct 714 ms 126072 KB Output is correct
23 Correct 599 ms 112040 KB Output is correct
24 Correct 709 ms 126216 KB Output is correct
25 Correct 2016 ms 163488 KB Output is correct
26 Correct 977 ms 123028 KB Output is correct
27 Correct 1800 ms 199124 KB Output is correct
28 Correct 690 ms 70412 KB Output is correct
29 Correct 459 ms 52668 KB Output is correct
30 Correct 1462 ms 175080 KB Output is correct
31 Correct 307 ms 50908 KB Output is correct
32 Correct 327 ms 52728 KB Output is correct
33 Correct 370 ms 54120 KB Output is correct
34 Correct 343 ms 51984 KB Output is correct
35 Correct 234 ms 56436 KB Output is correct
36 Correct 8 ms 2800 KB Output is correct
37 Correct 107 ms 25452 KB Output is correct
38 Correct 309 ms 49428 KB Output is correct
39 Correct 352 ms 52780 KB Output is correct
40 Correct 345 ms 68184 KB Output is correct
41 Correct 336 ms 52828 KB Output is correct
42 Correct 422 ms 51032 KB Output is correct
43 Correct 834 ms 7684 KB Output is correct
44 Execution timed out 4078 ms 13268 KB Time limit exceeded
45 Halted 0 ms 0 KB -