Submission #744522

# Submission time Handle Problem Language Result Execution time Memory
744522 2023-05-18T16:36:54 Z t6twotwo Road Closures (APIO21_roads) C++17
36 / 100
613 ms 220360 KB
#include "roads.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr ll inf = 1E18;
vector<ll> minimum_closure_costs(int N, vector<int> U, vector<int> V, vector<int> W) {
    if (N <= 2000) {
        vector<vector<pair<int, int>>> adj(N);
        for (int i = 0; i < N - 1; i++) {
            adj[U[i]].emplace_back(V[i], W[i]);
            adj[V[i]].emplace_back(U[i], W[i]);
        }
        vector dp(N, vector(N, vector<ll>(2, inf)));
        auto dfs = [&](auto dfs, int x, int p) -> void {
            dp[x][0][0] = 0;
            vector<pair<int, int>> ch;
            for (auto [y, z] : adj[x]) {
                if (y == p) {
                    continue;
                }
                dfs(dfs, y, x);
                dp[x][0][0] += dp[y][0][0] + z;
                ch.emplace_back(y, z);
            }
            for (int i = 1; i < N; i++) {
                int cnt = ch.size();
                ll sum = 0;
                for (auto [y, z] : ch) {
                    sum += dp[y][i][1];
                }
                if (cnt <= i - 1) {
                    dp[x][i][1] = sum;
                }
                if (cnt <= i) {
                    dp[x][i][0] = sum;
                }
                vector<ll> v;
                for (auto [y, z] : ch) {
                    v.push_back(z + dp[y][i][0] - dp[y][i][1]);
                }
                sort(v.begin(), v.end());
                for (int j = 0; j < v.size(); j++) {
                    sum += v[j];
                    cnt--;
                    if (cnt <= i - 1) {
                        dp[x][i][1] = min(dp[x][i][1], sum);
                    }
                    if (cnt <= i) {
                        dp[x][i][0] = min(dp[x][i][0], sum);
                    }
                }
            }
        };
        dfs(dfs, 0, -1);
        vector<ll> ans(N);
        for (int i = 0; i < N; i++) {
            ans[i] = dp[0][i][0];
        }
        return ans;
    }
    if (U == vector<int>(N - 1)) {
        vector<ll> ans(N);
        sort(W.begin(),  W.end());
        for (int i = 0; i < N - 1; i++) {
            ans[N - i - 2] = ans[N - i - 1] + W[i];
        }
        return ans;
    }
    ll dp0 = 0, dp1 = 0;
    for (int i = 0; i < N; i++) {
        ll pd0 = dp0;
        dp0 = max(dp0, dp1);
        dp1 = W[i] + pd0;
    }
    vector<ll> ans(N);
    ans[0] = accumulate(W.begin(), W.end(), 0LL);
    ans[1] = ans[0] - max(dp0, dp1);
    return ans;
}

Compilation message

roads.cpp: In lambda function:
roads.cpp:42:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |                 for (int j = 0; j < v.size(); j++) {
      |                                 ~~^~~~~~~~~~
roads.cpp: In instantiation of 'minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:23, int, int)> [with auto:23 = minimum_closure_costs(int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:23, int, int)>]':
roads.cpp:54:23:   required from here
roads.cpp:42:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 548 ms 194508 KB Output is correct
3 Correct 613 ms 219852 KB Output is correct
4 Correct 483 ms 219816 KB Output is correct
5 Correct 2 ms 1236 KB Output is correct
6 Correct 5 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 357 ms 156248 KB Output is correct
9 Correct 551 ms 219856 KB Output is correct
10 Correct 4 ms 2260 KB Output is correct
11 Correct 4 ms 2528 KB Output is correct
12 Correct 23 ms 2188 KB Output is correct
13 Correct 39 ms 3392 KB Output is correct
14 Correct 46 ms 3320 KB Output is correct
15 Correct 45 ms 3644 KB Output is correct
16 Correct 47 ms 3672 KB Output is correct
17 Correct 42 ms 3796 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 37 ms 3068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 30 ms 2828 KB Output is correct
3 Correct 33 ms 3212 KB Output is correct
4 Correct 36 ms 3392 KB Output is correct
5 Correct 35 ms 3388 KB Output is correct
6 Correct 305 ms 165220 KB Output is correct
7 Correct 398 ms 220108 KB Output is correct
8 Correct 307 ms 178668 KB Output is correct
9 Correct 4 ms 1876 KB Output is correct
10 Correct 6 ms 2260 KB Output is correct
11 Correct 4 ms 2516 KB Output is correct
12 Correct 28 ms 2112 KB Output is correct
13 Correct 31 ms 3404 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 37 ms 3056 KB Output is correct
16 Correct 32 ms 3396 KB Output is correct
# 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 0 ms 212 KB Output is correct
4 Correct 3 ms 1492 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2216 KB Output is correct
7 Correct 5 ms 2132 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 4 ms 1876 KB Output is correct
11 Correct 4 ms 2260 KB Output is correct
12 Correct 4 ms 2516 KB Output is correct
13 Correct 2 ms 1236 KB Output is correct
14 Correct 5 ms 2476 KB Output is correct
15 Correct 4 ms 2516 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 5 ms 2516 KB Output is correct
18 Correct 4 ms 2516 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2476 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
# 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 0 ms 212 KB Output is correct
4 Correct 3 ms 1492 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2216 KB Output is correct
7 Correct 5 ms 2132 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 4 ms 1876 KB Output is correct
11 Correct 4 ms 2260 KB Output is correct
12 Correct 4 ms 2516 KB Output is correct
13 Correct 2 ms 1236 KB Output is correct
14 Correct 5 ms 2476 KB Output is correct
15 Correct 4 ms 2516 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 5 ms 2516 KB Output is correct
18 Correct 4 ms 2516 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2476 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 183 ms 82744 KB Output is correct
24 Correct 401 ms 219948 KB Output is correct
25 Correct 296 ms 160400 KB Output is correct
26 Correct 372 ms 219840 KB Output is correct
27 Correct 378 ms 219872 KB Output is correct
28 Correct 364 ms 219204 KB Output is correct
29 Correct 323 ms 185908 KB Output is correct
30 Correct 372 ms 219916 KB Output is correct
31 Correct 374 ms 219864 KB Output is correct
32 Correct 416 ms 219856 KB Output is correct
33 Correct 308 ms 165264 KB Output is correct
34 Correct 398 ms 220360 KB Output is correct
35 Correct 338 ms 178736 KB Output is correct
36 Correct 517 ms 194504 KB Output is correct
37 Correct 583 ms 219856 KB Output is correct
38 Correct 492 ms 219848 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 3 ms 1492 KB Output is correct
42 Correct 4 ms 2516 KB Output is correct
43 Correct 4 ms 2224 KB Output is correct
44 Correct 4 ms 2004 KB Output is correct
45 Correct 5 ms 2532 KB Output is correct
46 Correct 5 ms 2492 KB Output is correct
47 Correct 3 ms 1876 KB Output is correct
48 Correct 4 ms 2364 KB Output is correct
49 Correct 5 ms 2516 KB Output is correct
50 Correct 2 ms 1236 KB Output is correct
51 Correct 5 ms 2516 KB Output is correct
52 Correct 4 ms 2476 KB Output is correct
53 Correct 242 ms 131676 KB Output is correct
54 Correct 398 ms 219884 KB Output is correct
55 Correct 383 ms 219852 KB Output is correct
56 Correct 347 ms 156160 KB Output is correct
57 Correct 564 ms 219832 KB Output is correct
58 Correct 2 ms 852 KB Output is correct
59 Correct 5 ms 2516 KB Output is correct
60 Correct 5 ms 2644 KB Output is correct
61 Correct 3 ms 2224 KB Output is correct
62 Correct 5 ms 2516 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 383 ms 213312 KB Output is correct
65 Correct 388 ms 219848 KB Output is correct
66 Correct 345 ms 219800 KB Output is correct
67 Correct 429 ms 219840 KB Output is correct
68 Correct 341 ms 219764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 38 ms 3232 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 38 ms 3232 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 548 ms 194508 KB Output is correct
3 Correct 613 ms 219852 KB Output is correct
4 Correct 483 ms 219816 KB Output is correct
5 Correct 2 ms 1236 KB Output is correct
6 Correct 5 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 357 ms 156248 KB Output is correct
9 Correct 551 ms 219856 KB Output is correct
10 Correct 4 ms 2260 KB Output is correct
11 Correct 4 ms 2528 KB Output is correct
12 Correct 23 ms 2188 KB Output is correct
13 Correct 39 ms 3392 KB Output is correct
14 Correct 46 ms 3320 KB Output is correct
15 Correct 45 ms 3644 KB Output is correct
16 Correct 47 ms 3672 KB Output is correct
17 Correct 42 ms 3796 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 37 ms 3068 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 30 ms 2828 KB Output is correct
22 Correct 33 ms 3212 KB Output is correct
23 Correct 36 ms 3392 KB Output is correct
24 Correct 35 ms 3388 KB Output is correct
25 Correct 305 ms 165220 KB Output is correct
26 Correct 398 ms 220108 KB Output is correct
27 Correct 307 ms 178668 KB Output is correct
28 Correct 4 ms 1876 KB Output is correct
29 Correct 6 ms 2260 KB Output is correct
30 Correct 4 ms 2516 KB Output is correct
31 Correct 28 ms 2112 KB Output is correct
32 Correct 31 ms 3404 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 37 ms 3056 KB Output is correct
35 Correct 32 ms 3396 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 3 ms 1492 KB Output is correct
40 Correct 5 ms 2516 KB Output is correct
41 Correct 4 ms 2216 KB Output is correct
42 Correct 5 ms 2132 KB Output is correct
43 Correct 5 ms 2516 KB Output is correct
44 Correct 5 ms 2516 KB Output is correct
45 Correct 4 ms 1876 KB Output is correct
46 Correct 4 ms 2260 KB Output is correct
47 Correct 4 ms 2516 KB Output is correct
48 Correct 2 ms 1236 KB Output is correct
49 Correct 5 ms 2476 KB Output is correct
50 Correct 4 ms 2516 KB Output is correct
51 Correct 1 ms 852 KB Output is correct
52 Correct 5 ms 2516 KB Output is correct
53 Correct 4 ms 2516 KB Output is correct
54 Correct 4 ms 2260 KB Output is correct
55 Correct 4 ms 2476 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 183 ms 82744 KB Output is correct
59 Correct 401 ms 219948 KB Output is correct
60 Correct 296 ms 160400 KB Output is correct
61 Correct 372 ms 219840 KB Output is correct
62 Correct 378 ms 219872 KB Output is correct
63 Correct 364 ms 219204 KB Output is correct
64 Correct 323 ms 185908 KB Output is correct
65 Correct 372 ms 219916 KB Output is correct
66 Correct 374 ms 219864 KB Output is correct
67 Correct 416 ms 219856 KB Output is correct
68 Correct 308 ms 165264 KB Output is correct
69 Correct 398 ms 220360 KB Output is correct
70 Correct 338 ms 178736 KB Output is correct
71 Correct 517 ms 194504 KB Output is correct
72 Correct 583 ms 219856 KB Output is correct
73 Correct 492 ms 219848 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 3 ms 1492 KB Output is correct
77 Correct 4 ms 2516 KB Output is correct
78 Correct 4 ms 2224 KB Output is correct
79 Correct 4 ms 2004 KB Output is correct
80 Correct 5 ms 2532 KB Output is correct
81 Correct 5 ms 2492 KB Output is correct
82 Correct 3 ms 1876 KB Output is correct
83 Correct 4 ms 2364 KB Output is correct
84 Correct 5 ms 2516 KB Output is correct
85 Correct 2 ms 1236 KB Output is correct
86 Correct 5 ms 2516 KB Output is correct
87 Correct 4 ms 2476 KB Output is correct
88 Correct 242 ms 131676 KB Output is correct
89 Correct 398 ms 219884 KB Output is correct
90 Correct 383 ms 219852 KB Output is correct
91 Correct 347 ms 156160 KB Output is correct
92 Correct 564 ms 219832 KB Output is correct
93 Correct 2 ms 852 KB Output is correct
94 Correct 5 ms 2516 KB Output is correct
95 Correct 5 ms 2644 KB Output is correct
96 Correct 3 ms 2224 KB Output is correct
97 Correct 5 ms 2516 KB Output is correct
98 Correct 1 ms 212 KB Output is correct
99 Correct 383 ms 213312 KB Output is correct
100 Correct 388 ms 219848 KB Output is correct
101 Correct 345 ms 219800 KB Output is correct
102 Correct 429 ms 219840 KB Output is correct
103 Correct 341 ms 219764 KB Output is correct
104 Incorrect 38 ms 3232 KB Output isn't correct
105 Halted 0 ms 0 KB -