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Submission #612014

# Submission time Handle Problem Language Result Execution time Memory
612014 2022-07-29T10:04:15 Z KoD Sky Walking (IOI19_walk) C++17
100 / 100
 2053 ms 193272 KB 
#include "walk.h"
#include <bits/stdc++.h>

using ll = long long;
using std::pair;
using std::vector;

template <class T>
using min_heap = std::priority_queue<T, vector<T>, std::greater<T>>;

ll min_distance(vector<int> X, vector<int> H, vector<int> L, vector<int> R, vector<int> Y, int src, int dst) {
    const int N = (int)X.size();
    for (const int pivot : {src, dst}) {
        const int M = (int)Y.size();
        vector<pair<int, int>> left, right;
        for (int i = pivot; i >= 0; --i) {
            if (left.empty() or left.back().first < H[i]) {
                left.emplace_back(H[i], i);
            }
        }
        for (int i = pivot; i < N; ++i) {
            if (right.empty() or right.back().first < H[i]) {
                right.emplace_back(H[i], i);
            }
        }
        for (int i = 0; i < M; ++i) {
            if (L[i] < pivot and pivot < R[i]) {
                const int a = std::lower_bound(left.begin(), left.end(), pair(Y[i], 0))->second;
                const int b = std::lower_bound(right.begin(), right.end(), pair(Y[i], 0))->second;
                L.push_back(L[i]);
                R.push_back(a);
                Y.push_back(Y[i]);
                L.push_back(b);
                R.push_back(R[i]);
                Y.push_back(Y[i]);
                L[i] = a;
                R[i] = b;
            }
        }
    }
    vector<vector<pair<int, int>>> graph(N);
    const auto add_vertex = [&] {
        graph.emplace_back();
        return (int)graph.size() - 1;
    };
    const auto add_edge = [&](const int u, const int v, const int c) {
        graph[u].emplace_back(v, c);
        graph[v].emplace_back(u, c);
    };
    vector<vector<pair<int, int>>> vertices(N);
    for (int i = 0; i < N; ++i) {
        vertices[i].emplace_back(0, i);
    }
    const int M = (int)Y.size();
    vector<int> order(M);
    std::iota(order.begin(), order.end(), 0);
    std::sort(order.begin(), order.end(), [&](const int i, const int j) {
        return Y[i] < Y[j];
    });
    for (int step = 0; step < 2; ++step) {
        std::set<int> remain;
        for (int i = 0; i < N; ++i) {
            remain.insert(i);
        }
        for (const int e : order) {
            if (L[e] == R[e]) {
                continue;
            }
            vector<int> list;
            list.push_back(L[e]);
            remain.insert(L[e]);
            for (auto itr = remain.upper_bound(L[e]); itr != remain.end() and *itr < R[e]; itr = remain.erase(itr)) {
                if (Y[e] <= H[*itr]) {
                    list.push_back(*itr);
                }
            }
            list.push_back(R[e]);
            remain.insert(R[e]);
            const int n = (int)list.size();
            vector<int> id(n);
            for (int i = 0; i < n; ++i) {
                id[i] = add_vertex();
                vertices[list[i]].emplace_back(Y[e], id[i]);
            }
            for (int i = 0; i + 1 < n; ++i) {
                add_edge(id[i], id[i + 1], X[list[i + 1]] - X[list[i]]);
            }
        }
        std::reverse(order.begin(), order.end());
    }
    for (auto& vec : vertices) {
        std::sort(vec.begin(), vec.end());
        const int n = (int)vec.size();
        for (int i = 0; i + 1 < n; ++i) {
            add_edge(vec[i].second, vec[i + 1].second, vec[i + 1].first - vec[i].first);
        }
    }
    vector<ll> dist(graph.size(), std::numeric_limits<ll>::max());
    min_heap<pair<ll, int>> heap;
    const auto push = [&](const int u, const ll d) {
        if (dist[u] > d) {
            dist[u] = d;
            heap.emplace(d, u);
        }
    };
    push(src, 0);
    while (!heap.empty()) {
        const auto [d, u] = heap.top();
        heap.pop();
        if (d > dist[u]) {
            continue;
        }
        for (const auto& [v, c] : graph[u]) {
            push(v, d + c);
        }
    }
    const ll ret = dist[dst];
    return ret == std::numeric_limits<ll>::max() ? -1 : ret;
}

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 212 KB Output is correct
4 Correct 0 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 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 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 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 720 ms 69112 KB Output is correct
4 Correct 1020 ms 91100 KB Output is correct
5 Correct 591 ms 71920 KB Output is correct
6 Correct 587 ms 68500 KB Output is correct
7 Correct 610 ms 72008 KB Output is correct
8 Correct 753 ms 72404 KB Output is correct
9 Correct 774 ms 80776 KB Output is correct
10 Correct 1020 ms 91180 KB Output is correct
11 Correct 735 ms 64208 KB Output is correct
12 Correct 605 ms 57156 KB Output is correct
13 Correct 1052 ms 96244 KB Output is correct
14 Correct 485 ms 57372 KB Output is correct
15 Correct 532 ms 60048 KB Output is correct
16 Correct 495 ms 57796 KB Output is correct
17 Correct 581 ms 55896 KB Output is correct
18 Correct 287 ms 59016 KB Output is correct
19 Correct 12 ms 3216 KB Output is correct
20 Correct 139 ms 29520 KB Output is correct
21 Correct 490 ms 51956 KB Output is correct
22 Correct 564 ms 57116 KB Output is correct
23 Correct 420 ms 71296 KB Output is correct
24 Correct 538 ms 56464 KB Output is correct
25 Correct 629 ms 55128 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 178 ms 23800 KB Output is correct
2 Correct 804 ms 80540 KB Output is correct
3 Correct 960 ms 86028 KB Output is correct
4 Correct 1323 ms 118600 KB Output is correct
5 Correct 1342 ms 123408 KB Output is correct
6 Correct 1249 ms 116988 KB Output is correct
7 Correct 692 ms 75524 KB Output is correct
8 Correct 598 ms 57200 KB Output is correct
9 Correct 1146 ms 111296 KB Output is correct
10 Correct 507 ms 79628 KB Output is correct
11 Correct 44 ms 9276 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 178 ms 23800 KB Output is correct
2 Correct 804 ms 80540 KB Output is correct
3 Correct 960 ms 86028 KB Output is correct
4 Correct 1323 ms 118600 KB Output is correct
5 Correct 1342 ms 123408 KB Output is correct
6 Correct 1249 ms 116988 KB Output is correct
7 Correct 692 ms 75524 KB Output is correct
8 Correct 598 ms 57200 KB Output is correct
9 Correct 1146 ms 111296 KB Output is correct
10 Correct 507 ms 79628 KB Output is correct
11 Correct 44 ms 9276 KB Output is correct
12 Correct 908 ms 85276 KB Output is correct
13 Correct 890 ms 107548 KB Output is correct
14 Correct 1255 ms 114716 KB Output is correct
15 Correct 1008 ms 91284 KB Output is correct
16 Correct 1027 ms 96532 KB Output is correct
17 Correct 1258 ms 108956 KB Output is correct
18 Correct 1060 ms 91332 KB Output is correct
19 Correct 1040 ms 96752 KB Output is correct
20 Correct 681 ms 67508 KB Output is correct
21 Correct 155 ms 26376 KB Output is correct
22 Correct 768 ms 87892 KB Output is correct
23 Correct 697 ms 83184 KB Output is correct
24 Correct 567 ms 65872 KB Output is correct
25 Correct 642 ms 78604 KB Output is correct
26 Correct 429 ms 54064 KB Output is correct
27 Correct 1227 ms 116940 KB Output is correct
28 Correct 888 ms 105072 KB Output is correct
29 Correct 1200 ms 106224 KB Output is correct
30 Correct 633 ms 67788 KB Output is correct
31 Correct 1089 ms 101100 KB Output is correct
32 Correct 573 ms 64248 KB Output is correct
33 Correct 614 ms 68236 KB Output is correct
34 Correct 496 ms 73724 KB Output is correct
35 Correct 609 ms 71432 KB Output is correct
36 Correct 688 ms 62852 KB Output is correct
37 Correct 604 ms 52072 KB Output is correct
38 Correct 611 ms 57108 KB Output is correct
39 Correct 472 ms 71420 KB Output is correct
40 Correct 497 ms 56320 KB Output is correct
41 Correct 562 ms 55068 KB Output is correct

Subtask #5
43.0 / 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 212 KB Output is correct
4 Correct 0 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 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 720 ms 69112 KB Output is correct
21 Correct 1020 ms 91100 KB Output is correct
22 Correct 591 ms 71920 KB Output is correct
23 Correct 587 ms 68500 KB Output is correct
24 Correct 610 ms 72008 KB Output is correct
25 Correct 753 ms 72404 KB Output is correct
26 Correct 774 ms 80776 KB Output is correct
27 Correct 1020 ms 91180 KB Output is correct
28 Correct 735 ms 64208 KB Output is correct
29 Correct 605 ms 57156 KB Output is correct
30 Correct 1052 ms 96244 KB Output is correct
31 Correct 485 ms 57372 KB Output is correct
32 Correct 532 ms 60048 KB Output is correct
33 Correct 495 ms 57796 KB Output is correct
34 Correct 581 ms 55896 KB Output is correct
35 Correct 287 ms 59016 KB Output is correct
36 Correct 12 ms 3216 KB Output is correct
37 Correct 139 ms 29520 KB Output is correct
38 Correct 490 ms 51956 KB Output is correct
39 Correct 564 ms 57116 KB Output is correct
40 Correct 420 ms 71296 KB Output is correct
41 Correct 538 ms 56464 KB Output is correct
42 Correct 629 ms 55128 KB Output is correct
43 Correct 178 ms 23800 KB Output is correct
44 Correct 804 ms 80540 KB Output is correct
45 Correct 960 ms 86028 KB Output is correct
46 Correct 1323 ms 118600 KB Output is correct
47 Correct 1342 ms 123408 KB Output is correct
48 Correct 1249 ms 116988 KB Output is correct
49 Correct 692 ms 75524 KB Output is correct
50 Correct 598 ms 57200 KB Output is correct
51 Correct 1146 ms 111296 KB Output is correct
52 Correct 507 ms 79628 KB Output is correct
53 Correct 44 ms 9276 KB Output is correct
54 Correct 908 ms 85276 KB Output is correct
55 Correct 890 ms 107548 KB Output is correct
56 Correct 1255 ms 114716 KB Output is correct
57 Correct 1008 ms 91284 KB Output is correct
58 Correct 1027 ms 96532 KB Output is correct
59 Correct 1258 ms 108956 KB Output is correct
60 Correct 1060 ms 91332 KB Output is correct
61 Correct 1040 ms 96752 KB Output is correct
62 Correct 681 ms 67508 KB Output is correct
63 Correct 155 ms 26376 KB Output is correct
64 Correct 768 ms 87892 KB Output is correct
65 Correct 697 ms 83184 KB Output is correct
66 Correct 567 ms 65872 KB Output is correct
67 Correct 642 ms 78604 KB Output is correct
68 Correct 429 ms 54064 KB Output is correct
69 Correct 1227 ms 116940 KB Output is correct
70 Correct 888 ms 105072 KB Output is correct
71 Correct 1200 ms 106224 KB Output is correct
72 Correct 633 ms 67788 KB Output is correct
73 Correct 1089 ms 101100 KB Output is correct
74 Correct 573 ms 64248 KB Output is correct
75 Correct 614 ms 68236 KB Output is correct
76 Correct 496 ms 73724 KB Output is correct
77 Correct 609 ms 71432 KB Output is correct
78 Correct 688 ms 62852 KB Output is correct
79 Correct 604 ms 52072 KB Output is correct
80 Correct 611 ms 57108 KB Output is correct
81 Correct 472 ms 71420 KB Output is correct
82 Correct 497 ms 56320 KB Output is correct
83 Correct 562 ms 55068 KB Output is correct
84 Correct 170 ms 19468 KB Output is correct
85 Correct 950 ms 90308 KB Output is correct
86 Correct 1575 ms 146796 KB Output is correct
87 Correct 262 ms 41144 KB Output is correct
88 Correct 256 ms 35496 KB Output is correct
89 Correct 275 ms 41088 KB Output is correct
90 Correct 61 ms 7948 KB Output is correct
91 Correct 2 ms 724 KB Output is correct
92 Correct 32 ms 5980 KB Output is correct
93 Correct 498 ms 55512 KB Output is correct
94 Correct 148 ms 28596 KB Output is correct
95 Correct 716 ms 91580 KB Output is correct
96 Correct 710 ms 83776 KB Output is correct
97 Correct 612 ms 67120 KB Output is correct
98 Correct 636 ms 78576 KB Output is correct
99 Correct 2053 ms 193272 KB Output is correct
100 Correct 1266 ms 108084 KB Output is correct
101 Correct 1467 ms 133852 KB Output is correct
102 Correct 671 ms 68148 KB Output is correct
103 Correct 485 ms 59888 KB Output is correct
104 Correct 540 ms 62136 KB Output is correct
105 Correct 463 ms 67972 KB Output is correct
106 Correct 527 ms 63864 KB Output is correct
107 Correct 468 ms 65432 KB Output is correct
108 Correct 52 ms 9120 KB Output is correct
109 Correct 997 ms 90724 KB Output is correct
110 Correct 903 ms 106636 KB Output is correct
111 Correct 793 ms 106508 KB Output is correct
112 Correct 581 ms 69116 KB Output is correct
113 Correct 640 ms 64624 KB Output is correct