oj.uz

Submission #1061871

# Submission time Handle Problem Language Result Execution time Memory
1061871 2024-08-16T14:36:18 Z RecursiveCo Sky Walking (IOI19_walk) C++17
57 / 100
 3450 ms 320060 KB 
#include <bits/stdc++.h>
#include "walk.h"

using namespace std;

long long 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(); // = h.size()
    int m = l.size(); // = r.size() = y.size()
    
        // s and g can be anything, but n and m are small anyway so it doesn't matter.
        // or I suppose also with small numbers of intersections.
        vector<pair<int, int>> sorted;
        for (int i = 0; i < m; i++) {
            sorted.push_back({y[i], i});
        }
        sort(sorted.rbegin(), sorted.rend());
        int maxi = -1;
        map<pair<int, int>, vector<array<int, 3>>> adjList;
        vector<vector<int>> pts(n);
        set<int> tall;
        int ptr1 = 0;
        vector<pair<int, int>> buildings;
        for (int i = 0; i < n; i++) {
            buildings.push_back({h[i], i});
        }
        sort(buildings.rbegin(), buildings.rend());
        for (int k = 0; k < m; k++) {
            int yc = sorted[k].first;
            int i = sorted[k].second;
            while (ptr1 < n && buildings[ptr1].first >= yc) {
                tall.insert(buildings[ptr1].second);
                ptr1++;
            }
            vector<int> enough;
            for (auto it = tall.lower_bound(l[i]); it != tall.end(); it++) {
                if ((*it) > r[i]) break;
                enough.push_back(*it);
                pts[*it].push_back(y[i]);
            }
            int t = enough.size();
            maxi = max(maxi, t);
            if (maxi > 50) break;
            for (int j = 0; j < t - 1; j++) {
                int x1 = enough[j];
                int x2 = enough[j + 1];
                adjList[{x1, y[i]}].push_back({x2, y[i], x[x2] - x[x1]});
                adjList[{x2, y[i]}].push_back({x1, y[i], x[x2] - x[x1]});
            }
        }
        if (maxi <= 50) {
            for (int i = 0; i < n; i++) {
                pts[i].push_back(0);
                sort(pts[i].begin(), pts[i].end());
                int t = pts[i].size();
                for (int j = 0; j < t - 1; j++) {
                    int y1 = pts[i][j];
                    int y2 = pts[i][j + 1];
                    adjList[{i, y1}].push_back({i, y2, y2 - y1});
                    adjList[{i, y2}].push_back({i, y1, y2 - y1});
                }
            }
            priority_queue<pair<long long, pair<int, int>>, vector<pair<long long, pair<int, int>>>, greater<pair<long long, pair<int, int>>>> pq;
            map<pair<int, int>, long long> dist;
            set<pair<int, int>> visited;
            pq.push({0ll, {s, 0}});
            while (!pq.empty()) {
                auto top = pq.top();
                pq.pop();
                if (visited.find(top.second) != visited.end()) continue;
                visited.insert(top.second);
                dist[top.second] = top.first;
                for (auto con: adjList[top.second]) {
                    if (visited.find({con[0], con[1]}) == visited.end()) {
                        pq.push({top.first + con[2], {con[0], con[1]}});
                    }
                }
            }
            return dist.find({g, 0}) == dist.end()? -1: dist[{g, 0}];
        }
    
    // Assume s = 0, g = n - 1 and h consists of equal elements.
    long long ans = x[n - 1] - x[0];
    map<pair<int, int>, long long> dp;
    vector<array<int, 4>> events;
    for (int i = 0; i < m; i++) {
        events.push_back({r[i] - 1, y[i], i, 1});
        events.push_back({l[i] - 1, y[i], i, 0});
    }
    sort(events.rbegin(), events.rend());
    vector<vector<int>> right(n);
    for (int i = 0; i < m; i++) right[r[i]].push_back(i);
    set<pair<int, int>> open;
    int ptr = 0;
    for (int i = n - 1; i >= 0; i--) {
        while (ptr < 2 * m && events[ptr][0] >= i) {
            int yc = events[ptr][1];
            int ind = events[ptr][2];
            int typ = events[ptr][3];
            if (typ) {
                open.insert({yc, ind});
            } else {
                open.erase({yc, ind});
            }
            ptr++;
        }
        for (int ind: right[i]) {
            long long val = 1e18;
            auto it = open.lower_bound({y[ind], -1});
            if (it != open.end()) {
                val = min(val, (long long) ((*it).first - y[ind]) + dp[{r[(*it).second], (*it).first}]);
            }
            if (it != open.begin()) {
                it--;
                val = min(val, (long long) (y[ind] - (*it).first) + dp[{r[(*it).second], (*it).first}]);
            }
            dp[{i, y[ind]}] = i == n - 1? y[ind]: val;
        }
    }
    long long extra = 1e18;
    for (int i = 0; i < m; i++) {
        if (l[i] == 0) {
            extra = min(extra, y[i] + dp[{r[i], y[i]}]);
        }
    }
    ans += extra;
    if (ans >= 1e18) return -1;
    return ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 604 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 2372 ms 201736 KB Output is correct
4 Correct 1774 ms 234052 KB Output is correct
5 Correct 663 ms 129608 KB Output is correct
6 Correct 576 ms 114720 KB Output is correct
7 Correct 714 ms 129312 KB Output is correct
8 Correct 3450 ms 261228 KB Output is correct
9 Correct 931 ms 137544 KB Output is correct
10 Correct 2525 ms 320060 KB Output is correct
11 Correct 851 ms 113864 KB Output is correct
12 Correct 519 ms 88880 KB Output is correct
13 Correct 2005 ms 281568 KB Output is correct
14 Correct 230 ms 53836 KB Output is correct
15 Correct 533 ms 88252 KB Output is correct
16 Correct 515 ms 89012 KB Output is correct
17 Correct 474 ms 85760 KB Output is correct
18 Correct 397 ms 69300 KB Output is correct
19 Correct 12 ms 4440 KB Output is correct
20 Correct 166 ms 42888 KB Output is correct
21 Correct 396 ms 81392 KB Output is correct
22 Correct 597 ms 87872 KB Output is correct
23 Correct 539 ms 103164 KB Output is correct
24 Correct 448 ms 87368 KB Output is correct
25 Correct 448 ms 84804 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 23752 KB Output is correct
2 Correct 174 ms 13620 KB Output is correct
3 Correct 141 ms 16004 KB Output is correct
4 Correct 181 ms 27608 KB Output is correct
5 Correct 215 ms 33080 KB Output is correct
6 Correct 200 ms 28472 KB Output is correct
7 Correct 99 ms 19844 KB Output is correct
8 Correct 455 ms 84800 KB Output is correct
9 Correct 187 ms 30260 KB Output is correct
10 Correct 146 ms 31076 KB Output is correct
11 Correct 16 ms 6096 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 23752 KB Output is correct
2 Correct 174 ms 13620 KB Output is correct
3 Correct 141 ms 16004 KB Output is correct
4 Correct 181 ms 27608 KB Output is correct
5 Correct 215 ms 33080 KB Output is correct
6 Correct 200 ms 28472 KB Output is correct
7 Correct 99 ms 19844 KB Output is correct
8 Correct 455 ms 84800 KB Output is correct
9 Correct 187 ms 30260 KB Output is correct
10 Correct 146 ms 31076 KB Output is correct
11 Correct 16 ms 6096 KB Output is correct
12 Correct 146 ms 15484 KB Output is correct
13 Correct 184 ms 22668 KB Output is correct
14 Correct 220 ms 25900 KB Output is correct
15 Correct 217 ms 40740 KB Output is correct
16 Correct 138 ms 22484 KB Output is correct
17 Correct 135 ms 22208 KB Output is correct
18 Correct 199 ms 41400 KB Output is correct
19 Correct 134 ms 23232 KB Output is correct
20 Correct 83 ms 15040 KB Output is correct
21 Correct 26 ms 8144 KB Output is correct
22 Correct 108 ms 19788 KB Output is correct
23 Correct 113 ms 20664 KB Output is correct
24 Correct 457 ms 92984 KB Output is correct
25 Correct 1349 ms 271216 KB Output is correct
26 Correct 234 ms 50268 KB Output is correct
27 Correct 220 ms 27908 KB Output is correct
28 Correct 132 ms 21864 KB Output is correct
29 Correct 189 ms 23228 KB Output is correct
30 Correct 95 ms 15568 KB Output is correct
31 Correct 182 ms 24136 KB Output is correct
32 Correct 134 ms 30264 KB Output is correct
33 Correct 126 ms 27084 KB Output is correct
34 Correct 117 ms 26304 KB Output is correct
35 Correct 119 ms 25028 KB Output is correct
36 Correct 634 ms 103948 KB Output is correct
37 Correct 360 ms 78708 KB Output is correct
38 Correct 500 ms 84808 KB Output is correct
39 Correct 578 ms 100412 KB Output is correct
40 Correct 439 ms 84544 KB Output is correct
41 Correct 454 ms 81988 KB Output is correct

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 2372 ms 201736 KB Output is correct
21 Correct 1774 ms 234052 KB Output is correct
22 Correct 663 ms 129608 KB Output is correct
23 Correct 576 ms 114720 KB Output is correct
24 Correct 714 ms 129312 KB Output is correct
25 Correct 3450 ms 261228 KB Output is correct
26 Correct 931 ms 137544 KB Output is correct
27 Correct 2525 ms 320060 KB Output is correct
28 Correct 851 ms 113864 KB Output is correct
29 Correct 519 ms 88880 KB Output is correct
30 Correct 2005 ms 281568 KB Output is correct
31 Correct 230 ms 53836 KB Output is correct
32 Correct 533 ms 88252 KB Output is correct
33 Correct 515 ms 89012 KB Output is correct
34 Correct 474 ms 85760 KB Output is correct
35 Correct 397 ms 69300 KB Output is correct
36 Correct 12 ms 4440 KB Output is correct
37 Correct 166 ms 42888 KB Output is correct
38 Correct 396 ms 81392 KB Output is correct
39 Correct 597 ms 87872 KB Output is correct
40 Correct 539 ms 103164 KB Output is correct
41 Correct 448 ms 87368 KB Output is correct
42 Correct 448 ms 84804 KB Output is correct
43 Correct 129 ms 23752 KB Output is correct
44 Correct 174 ms 13620 KB Output is correct
45 Correct 141 ms 16004 KB Output is correct
46 Correct 181 ms 27608 KB Output is correct
47 Correct 215 ms 33080 KB Output is correct
48 Correct 200 ms 28472 KB Output is correct
49 Correct 99 ms 19844 KB Output is correct
50 Correct 455 ms 84800 KB Output is correct
51 Correct 187 ms 30260 KB Output is correct
52 Correct 146 ms 31076 KB Output is correct
53 Correct 16 ms 6096 KB Output is correct
54 Correct 146 ms 15484 KB Output is correct
55 Correct 184 ms 22668 KB Output is correct
56 Correct 220 ms 25900 KB Output is correct
57 Correct 217 ms 40740 KB Output is correct
58 Correct 138 ms 22484 KB Output is correct
59 Correct 135 ms 22208 KB Output is correct
60 Correct 199 ms 41400 KB Output is correct
61 Correct 134 ms 23232 KB Output is correct
62 Correct 83 ms 15040 KB Output is correct
63 Correct 26 ms 8144 KB Output is correct
64 Correct 108 ms 19788 KB Output is correct
65 Correct 113 ms 20664 KB Output is correct
66 Correct 457 ms 92984 KB Output is correct
67 Correct 1349 ms 271216 KB Output is correct
68 Correct 234 ms 50268 KB Output is correct
69 Correct 220 ms 27908 KB Output is correct
70 Correct 132 ms 21864 KB Output is correct
71 Correct 189 ms 23228 KB Output is correct
72 Correct 95 ms 15568 KB Output is correct
73 Correct 182 ms 24136 KB Output is correct
74 Correct 134 ms 30264 KB Output is correct
75 Correct 126 ms 27084 KB Output is correct
76 Correct 117 ms 26304 KB Output is correct
77 Correct 119 ms 25028 KB Output is correct
78 Correct 634 ms 103948 KB Output is correct
79 Correct 360 ms 78708 KB Output is correct
80 Correct 500 ms 84808 KB Output is correct
81 Correct 578 ms 100412 KB Output is correct
82 Correct 439 ms 84544 KB Output is correct
83 Correct 454 ms 81988 KB Output is correct
84 Correct 110 ms 21960 KB Output is correct
85 Incorrect 145 ms 17296 KB Output isn't correct
86 Halted 0 ms 0 KB -