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답안 #769290

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
769290 2023-06-29T11:31:08 Z jakobrs Village (BOI20_village) C++17
50 / 100
 96 ms 28540 KB 
#include <iostream>
#include <vector>

using i64 = int64_t;

const i64 INFINITY = __INT64_MAX__ / 1000;

std::pair<i64, i64> dfs(std::vector<std::vector<i64>> const &neighbours,
                        std::vector<std::pair<i64, i64>> &ann, i64 node,
                        i64 parent) {
    auto child_count = neighbours[node].size() - (parent != -1);
    if (child_count == 0) {
        return ann[node] = {INFINITY, 2};
    } else {
        std::vector<std::pair<i64, i64>> results;
        for (auto neighbour : neighbours[node]) {
            if (neighbour == parent) continue;
            results.push_back(dfs(neighbours, ann, neighbour, node));
        }

        // for k we have to move the root at least once
        i64 best_choice = -1;
        i64 why = INFINITY;
        for (i64 i = 0; i < child_count; i++) {
            if (results[i].second - results[i].first < why) {
                best_choice = i;
                why = results[i].second - results[i].first;
            }
        }

        i64 k = 0;
        for (i64 i = 0; i < child_count; i++) {
            if (i == best_choice) {
                k += results[i].second;
            } else {
                k += std::min(results[i].first, results[i].second);
            }
        }

        i64 l = 2;
        for (i64 i = 0; i < child_count; i++) {
            l += std::min(results[i].first, results[i].second);
        }

        return ann[node] = {k, l};
    }
}

std::pair<i64, i64> dfs_constructive(
    std::vector<std::vector<i64>> const &neighbours,
    std::vector<std::pair<i64, i64>> const &ann, i64 node, i64 parent, i64 mode,
    std::vector<i64> &assignment) {
    auto child_count = neighbours[node].size() - (parent != -1);
    if (child_count == 0) {
        if (mode & 0b01) {
            return {node, node};
        } else {
            std::cerr << "SOMETHING IS WRONG\n";
            return {-1, -1};
        }
    } else {
        std::vector<i64> children;
        for (auto neighbour : neighbours[node]) {
            if (neighbour == parent) continue;
            children.push_back(neighbour);
        }

        if (mode & 0b10 ||
            (mode == 0b11 && ann[node].first <= ann[node].second)) {
            // for k we have to move the root at least once
            i64 best_choice = -1;
            i64 why = INFINITY;
            for (i64 i = 0; i < child_count; i++) {
                if (ann[children[i]].second - ann[children[i]].first < why) {
                    best_choice = i;
                    why = ann[children[i]].second - ann[children[i]].first;
                }
            }

            i64 moving = node;

            for (i64 i = 0; i < child_count; i++) {
                auto [to, from] = dfs_constructive(
                    neighbours, ann, children[i], node,
                    i == best_choice ? 0b01 : 0b11, assignment);

                if (to != -1) {
                    assignment[moving] = to;
                    moving = from;
                }
            }

            assignment[moving] = node;  // ig

            return {-1, -1};
        } else {
            i64 moving = node;
            for (auto child : children) {
                auto [to, from] = dfs_constructive(neighbours, ann, child, node,
                                                   0b11, assignment);

                if (to != -1) {
                    assignment[moving] = to;
                    moving = from;
                }
            }

            return {node, moving};
        }
    }
}

int main() {
    i64 n;
    std::cin >> n;

    std::vector<std::vector<i64>> neighbours(n);
    for (i64 i = 0; i < n - 1; i++) {
        i64 a, b;
        std::cin >> a >> b;
        a--, b--;

        neighbours[a].push_back(b);
        neighbours[b].push_back(a);
    }

    std::vector<std::pair<i64, i64>> ann(n);

    auto [k, l] = dfs(neighbours, ann, 0, -1);

    std::cout << k << " 1\n";

    std::vector<i64> assignment(n);
    dfs_constructive(neighbours, ann, 0, -1, 0b10, assignment);

    for (i64 x : assignment) {
        std::cout << x + 1 << ' ';
    }
    std::cout << "\n";
    for (i64 x : assignment) {
        std::cout << x + 1 << ' ';
    }
}

Compilation message

Village.cpp: In function 'std::pair<long int, long int> dfs(const std::vector<std::vector<long int> >&, std::vector<std::pair<long int, long int> >&, i64, i64)':
Village.cpp:24:27: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   24 |         for (i64 i = 0; i < child_count; i++) {
      |                         ~~^~~~~~~~~~~~~
Village.cpp:32:27: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   32 |         for (i64 i = 0; i < child_count; i++) {
      |                         ~~^~~~~~~~~~~~~
Village.cpp:41:27: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   41 |         for (i64 i = 0; i < child_count; i++) {
      |                         ~~^~~~~~~~~~~~~
Village.cpp: In function 'std::pair<long int, long int> dfs_constructive(const std::vector<std::vector<long int> >&, const std::vector<std::pair<long int, long int> >&, i64, i64, i64, std::vector<long int>&)':
Village.cpp:73:31: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   73 |             for (i64 i = 0; i < child_count; i++) {
      |                             ~~^~~~~~~~~~~~~
Village.cpp:82:31: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   82 |             for (i64 i = 0; i < child_count; i++) {
      |                             ~~^~~~~~~~~~~~~

Subtask #1
6.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Partially correct 1 ms 212 KB Partially correct
2 Partially correct 0 ms 212 KB Partially correct
3 Partially correct 0 ms 212 KB Partially correct
4 Partially correct 0 ms 212 KB Partially correct
5 Partially correct 0 ms 212 KB Partially correct
6 Partially correct 1 ms 212 KB Partially correct
7 Partially correct 0 ms 212 KB Partially correct
8 Partially correct 0 ms 212 KB Partially correct
9 Partially correct 1 ms 212 KB Partially correct
10 Partially correct 0 ms 212 KB Partially correct
11 Partially correct 1 ms 212 KB Partially correct
12 Partially correct 1 ms 212 KB Partially correct
13 Partially correct 1 ms 304 KB Partially correct
14 Partially correct 1 ms 212 KB Partially correct
15 Partially correct 1 ms 212 KB Partially correct
16 Partially correct 1 ms 212 KB Partially correct
17 Partially correct 1 ms 212 KB Partially correct

Subtask #2
19.0 / 38.0

# 결과 실행 시간 메모리 Grader output
1 Partially correct 1 ms 296 KB Partially correct
2 Partially correct 1 ms 340 KB Partially correct
3 Partially correct 1 ms 340 KB Partially correct
4 Partially correct 1 ms 304 KB Partially correct
5 Partially correct 1 ms 340 KB Partially correct
6 Partially correct 1 ms 340 KB Partially correct
7 Partially correct 1 ms 468 KB Partially correct
8 Partially correct 1 ms 340 KB Partially correct
9 Partially correct 1 ms 340 KB Partially correct
10 Partially correct 1 ms 340 KB Partially correct
11 Partially correct 1 ms 340 KB Partially correct
12 Partially correct 1 ms 304 KB Partially correct
13 Partially correct 1 ms 340 KB Partially correct
14 Partially correct 1 ms 340 KB Partially correct
15 Partially correct 1 ms 340 KB Partially correct
16 Partially correct 1 ms 340 KB Partially correct
17 Partially correct 1 ms 340 KB Partially correct
18 Partially correct 1 ms 340 KB Partially correct
19 Partially correct 1 ms 304 KB Partially correct
20 Partially correct 1 ms 300 KB Partially correct
21 Partially correct 1 ms 340 KB Partially correct
22 Partially correct 1 ms 312 KB Partially correct
23 Partially correct 2 ms 340 KB Partially correct
24 Partially correct 1 ms 340 KB Partially correct
25 Partially correct 1 ms 304 KB Partially correct
26 Partially correct 2 ms 308 KB Partially correct
27 Partially correct 1 ms 340 KB Partially correct
28 Partially correct 1 ms 340 KB Partially correct
29 Partially correct 1 ms 340 KB Partially correct
30 Partially correct 1 ms 340 KB Partially correct

Subtask #3
25.0 / 50.0

# 결과 실행 시간 메모리 Grader output
1 Partially correct 1 ms 212 KB Partially correct
2 Partially correct 0 ms 212 KB Partially correct
3 Partially correct 0 ms 212 KB Partially correct
4 Partially correct 0 ms 212 KB Partially correct
5 Partially correct 0 ms 212 KB Partially correct
6 Partially correct 1 ms 212 KB Partially correct
7 Partially correct 0 ms 212 KB Partially correct
8 Partially correct 0 ms 212 KB Partially correct
9 Partially correct 1 ms 212 KB Partially correct
10 Partially correct 0 ms 212 KB Partially correct
11 Partially correct 1 ms 212 KB Partially correct
12 Partially correct 1 ms 212 KB Partially correct
13 Partially correct 1 ms 304 KB Partially correct
14 Partially correct 1 ms 212 KB Partially correct
15 Partially correct 1 ms 212 KB Partially correct
16 Partially correct 1 ms 212 KB Partially correct
17 Partially correct 1 ms 212 KB Partially correct
18 Partially correct 1 ms 296 KB Partially correct
19 Partially correct 1 ms 340 KB Partially correct
20 Partially correct 1 ms 340 KB Partially correct
21 Partially correct 1 ms 304 KB Partially correct
22 Partially correct 1 ms 340 KB Partially correct
23 Partially correct 1 ms 340 KB Partially correct
24 Partially correct 1 ms 468 KB Partially correct
25 Partially correct 1 ms 340 KB Partially correct
26 Partially correct 1 ms 340 KB Partially correct
27 Partially correct 1 ms 340 KB Partially correct
28 Partially correct 1 ms 340 KB Partially correct
29 Partially correct 1 ms 304 KB Partially correct
30 Partially correct 1 ms 340 KB Partially correct
31 Partially correct 1 ms 340 KB Partially correct
32 Partially correct 1 ms 340 KB Partially correct
33 Partially correct 1 ms 340 KB Partially correct
34 Partially correct 1 ms 340 KB Partially correct
35 Partially correct 1 ms 340 KB Partially correct
36 Partially correct 1 ms 304 KB Partially correct
37 Partially correct 1 ms 300 KB Partially correct
38 Partially correct 1 ms 340 KB Partially correct
39 Partially correct 1 ms 312 KB Partially correct
40 Partially correct 2 ms 340 KB Partially correct
41 Partially correct 1 ms 340 KB Partially correct
42 Partially correct 1 ms 304 KB Partially correct
43 Partially correct 2 ms 308 KB Partially correct
44 Partially correct 1 ms 340 KB Partially correct
45 Partially correct 1 ms 340 KB Partially correct
46 Partially correct 1 ms 340 KB Partially correct
47 Partially correct 1 ms 340 KB Partially correct
48 Partially correct 67 ms 10080 KB Partially correct
49 Partially correct 75 ms 11092 KB Partially correct
50 Partially correct 82 ms 11036 KB Partially correct
51 Partially correct 70 ms 8680 KB Partially correct
52 Partially correct 73 ms 10956 KB Partially correct
53 Partially correct 80 ms 9932 KB Partially correct
54 Partially correct 41 ms 13772 KB Partially correct
55 Partially correct 96 ms 28540 KB Partially correct
56 Partially correct 90 ms 19416 KB Partially correct
57 Partially correct 85 ms 16588 KB Partially correct
58 Partially correct 84 ms 13972 KB Partially correct
59 Partially correct 80 ms 11508 KB Partially correct
60 Partially correct 61 ms 12852 KB Partially correct
61 Partially correct 64 ms 11424 KB Partially correct
62 Partially correct 66 ms 11464 KB Partially correct
63 Partially correct 59 ms 10828 KB Partially correct
64 Partially correct 68 ms 11448 KB Partially correct
65 Partially correct 63 ms 11636 KB Partially correct
66 Partially correct 58 ms 10924 KB Partially correct
67 Partially correct 47 ms 8932 KB Partially correct
68 Partially correct 53 ms 9804 KB Partially correct
69 Partially correct 73 ms 11692 KB Partially correct
70 Partially correct 58 ms 10956 KB Partially correct
71 Partially correct 42 ms 8092 KB Partially correct
72 Partially correct 48 ms 9236 KB Partially correct
73 Partially correct 65 ms 11620 KB Partially correct
74 Partially correct 61 ms 10636 KB Partially correct
75 Partially correct 74 ms 11524 KB Partially correct
76 Partially correct 78 ms 10916 KB Partially correct
77 Partially correct 66 ms 11060 KB Partially correct
78 Partially correct 45 ms 7628 KB Partially correct
79 Partially correct 59 ms 8708 KB Partially correct
80 Partially correct 78 ms 11508 KB Partially correct
81 Partially correct 66 ms 11320 KB Partially correct
82 Partially correct 70 ms 11160 KB Partially correct