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Submission #564366

# Submission time Handle Problem Language Result Execution time Memory
564366 2022-05-19T04:25:35 Z KoD Tug of War (BOI15_tug) C++17
100 / 100
 63 ms 8372 KB 
#include <bits/stdc++.h>

using std::pair;
using std::vector;

constexpr int MAX_S = 20;
constexpr int MAX_N = 30000;

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int N, K;
    std::cin >> N >> K;
    const int V = 2 * N;
    vector<int> L(V), R(V), S(V);
    vector<vector<pair<int, int>>> graph(V);
    for (int i = 0; i < V; ++i) {
        std::cin >> L[i] >> R[i] >> S[i];
        L[i] -= 1;
        R[i] -= 1;
        R[i] += N;
        graph[L[i]].emplace_back(R[i], i);
        graph[R[i]].emplace_back(L[i], i);
    }
    vector<int> deg(V);
    std::queue<int> que;
    for (int i = 0; i < V; ++i) {
        deg[i] = graph[i].size();
        if (deg[i] <= 1) {
            que.push(i);
        }
    }
    int fixed = 0;
    vector<char> done(V);
    while (!que.empty()) {
        const int u = que.front();
        que.pop();
        bool found = false;
        for (const auto& [v, e] : graph[u]) {
            if (!done[v]) {
                deg[v] -= 1;
                if (deg[v] == 1) {
                    que.push(v);
                }
                fixed += u < N ? S[e] : -S[e];
                found = true;
                break;
            }
        }
        if (!found) {
            std::cout << "NO\n";
            return 0;
        }
        done[u] = true;
    }
    const int W = MAX_S * N + 1;
    vector<int> count(W);
    for (int i = 0; i < V; ++i) {
        if (done[i]) {
            continue;
        }
        int u = i, p = -1, sum = 0;
        vector<int> cycle;
        while (true) {
            cycle.push_back(u);
            for (const auto& [v, e] : graph[u]) {
                if (!done[v] and e != p) {
                    sum += u < N ? S[e] : -S[e];
                    p = e;
                    u = v;
                    break;
                }
            }
            if (u == i) {
                break;
            }
        }
        for (const int u : cycle) {
            done[u] = true;
        }
        if (sum < 0) {
            sum = -sum;
        }
        fixed -= sum;
        count[sum] += 1;
    }
    std::bitset<MAX_S * MAX_N + 1> dp;
    dp.set(0);
    for (int i = 0; i < W; ++i) {
        if (count[i] == 0) {
            continue;
        }
        if (count[i] >= 3) {
            const int t = (count[i] - 1) / 2;
            count[i] -= 2 * t;
            count[2 * i] += t;
        }
        while (count[i]--) {
            dp |= dp << i;
        }
    }
    for (int i = 0; i < W; ++i) {
        if (std::abs(fixed + 2 * i) <= K and dp.test(i)) {
            std::cout << "YES\n";
            return 0;
        }
    }
    std::cout << "NO\n";
    return 0;
}

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 536 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 536 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 536 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 532 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 540 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 532 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 536 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 536 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 536 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 532 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 540 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 532 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 928 KB Output is correct
27 Correct 8 ms 920 KB Output is correct
28 Correct 6 ms 980 KB Output is correct
29 Correct 7 ms 980 KB Output is correct
30 Correct 5 ms 980 KB Output is correct
31 Correct 6 ms 1020 KB Output is correct
32 Correct 4 ms 980 KB Output is correct
33 Correct 7 ms 936 KB Output is correct
34 Correct 3 ms 980 KB Output is correct
35 Correct 7 ms 1016 KB Output is correct
36 Correct 5 ms 980 KB Output is correct
37 Correct 7 ms 980 KB Output is correct
38 Correct 4 ms 980 KB Output is correct
39 Correct 9 ms 980 KB Output is correct
40 Correct 5 ms 980 KB Output is correct
41 Correct 9 ms 980 KB Output is correct
42 Correct 4 ms 1024 KB Output is correct
43 Correct 8 ms 936 KB Output is correct
44 Correct 5 ms 936 KB Output is correct
45 Correct 7 ms 980 KB Output is correct
46 Correct 4 ms 980 KB Output is correct
47 Correct 2 ms 852 KB Output is correct
48 Correct 4 ms 980 KB Output is correct
49 Correct 4 ms 980 KB Output is correct
50 Correct 3 ms 980 KB Output is correct
51 Correct 3 ms 980 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 2980 KB Output is correct
2 Correct 9 ms 2260 KB Output is correct
3 Correct 63 ms 2900 KB Output is correct
4 Correct 8 ms 2292 KB Output is correct
5 Correct 53 ms 2992 KB Output is correct
6 Correct 7 ms 2296 KB Output is correct
7 Correct 59 ms 2980 KB Output is correct
8 Correct 8 ms 2260 KB Output is correct
9 Correct 55 ms 2948 KB Output is correct
10 Correct 9 ms 2304 KB Output is correct
11 Correct 60 ms 2980 KB Output is correct
12 Correct 7 ms 2260 KB Output is correct
13 Correct 54 ms 2980 KB Output is correct
14 Correct 56 ms 2976 KB Output is correct
15 Correct 8 ms 2340 KB Output is correct
16 Correct 56 ms 2900 KB Output is correct
17 Correct 9 ms 2260 KB Output is correct
18 Correct 59 ms 2900 KB Output is correct
19 Correct 8 ms 2260 KB Output is correct
20 Correct 54 ms 2952 KB Output is correct
21 Correct 8 ms 2276 KB Output is correct
22 Correct 34 ms 3140 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 536 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 536 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 536 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 532 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 540 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 532 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 928 KB Output is correct
27 Correct 8 ms 920 KB Output is correct
28 Correct 6 ms 980 KB Output is correct
29 Correct 7 ms 980 KB Output is correct
30 Correct 5 ms 980 KB Output is correct
31 Correct 6 ms 1020 KB Output is correct
32 Correct 4 ms 980 KB Output is correct
33 Correct 7 ms 936 KB Output is correct
34 Correct 3 ms 980 KB Output is correct
35 Correct 7 ms 1016 KB Output is correct
36 Correct 5 ms 980 KB Output is correct
37 Correct 7 ms 980 KB Output is correct
38 Correct 4 ms 980 KB Output is correct
39 Correct 9 ms 980 KB Output is correct
40 Correct 5 ms 980 KB Output is correct
41 Correct 9 ms 980 KB Output is correct
42 Correct 4 ms 1024 KB Output is correct
43 Correct 8 ms 936 KB Output is correct
44 Correct 5 ms 936 KB Output is correct
45 Correct 7 ms 980 KB Output is correct
46 Correct 4 ms 980 KB Output is correct
47 Correct 2 ms 852 KB Output is correct
48 Correct 4 ms 980 KB Output is correct
49 Correct 4 ms 980 KB Output is correct
50 Correct 3 ms 980 KB Output is correct
51 Correct 3 ms 980 KB Output is correct
52 Correct 59 ms 2980 KB Output is correct
53 Correct 9 ms 2260 KB Output is correct
54 Correct 63 ms 2900 KB Output is correct
55 Correct 8 ms 2292 KB Output is correct
56 Correct 53 ms 2992 KB Output is correct
57 Correct 7 ms 2296 KB Output is correct
58 Correct 59 ms 2980 KB Output is correct
59 Correct 8 ms 2260 KB Output is correct
60 Correct 55 ms 2948 KB Output is correct
61 Correct 9 ms 2304 KB Output is correct
62 Correct 60 ms 2980 KB Output is correct
63 Correct 7 ms 2260 KB Output is correct
64 Correct 54 ms 2980 KB Output is correct
65 Correct 56 ms 2976 KB Output is correct
66 Correct 8 ms 2340 KB Output is correct
67 Correct 56 ms 2900 KB Output is correct
68 Correct 9 ms 2260 KB Output is correct
69 Correct 59 ms 2900 KB Output is correct
70 Correct 8 ms 2260 KB Output is correct
71 Correct 54 ms 2952 KB Output is correct
72 Correct 8 ms 2276 KB Output is correct
73 Correct 34 ms 3140 KB Output is correct
74 Correct 36 ms 7968 KB Output is correct
75 Correct 47 ms 7968 KB Output is correct
76 Correct 48 ms 7992 KB Output is correct
77 Correct 51 ms 7940 KB Output is correct
78 Correct 37 ms 7920 KB Output is correct
79 Correct 41 ms 7976 KB Output is correct
80 Correct 45 ms 7888 KB Output is correct
81 Correct 28 ms 7952 KB Output is correct
82 Correct 26 ms 7868 KB Output is correct
83 Correct 47 ms 7972 KB Output is correct
84 Correct 52 ms 7972 KB Output is correct
85 Correct 37 ms 7864 KB Output is correct
86 Correct 47 ms 7976 KB Output is correct
87 Correct 43 ms 7888 KB Output is correct
88 Correct 58 ms 7984 KB Output is correct
89 Correct 51 ms 7880 KB Output is correct
90 Correct 50 ms 7872 KB Output is correct
91 Correct 37 ms 7880 KB Output is correct
92 Correct 44 ms 7920 KB Output is correct
93 Correct 38 ms 7992 KB Output is correct
94 Correct 27 ms 5840 KB Output is correct
95 Correct 43 ms 8268 KB Output is correct
96 Correct 43 ms 8372 KB Output is correct
97 Correct 28 ms 7892 KB Output is correct
98 Correct 30 ms 7900 KB Output is correct