oj.uz

Submission #538705

# Submission time Handle Problem Language Result Execution time Memory
538705 2022-03-17T14:55:14 Z huB1erTi2 Tug of War (BOI15_tug) C++17
71 / 100
 3000 ms 5180 KB 
//   _|                                                _|
//   _|  _|    _|    _|    _|_|    _|_|_|      _|_|_|  _|  _|      _|_|      _|_|
//   _|_|      _|    _|  _|_|_|_|  _|    _|  _|_|      _|_|      _|_|_|_|  _|_|_|_|
//   _|  _|    _|    _|  _|        _|    _|      _|_|  _|  _|    _|        _|
//   _|    _|    _|_|_|    _|_|_|  _|_|_|    _|_|_|    _|    _|    _|_|_|    _|_|_|
//                   _|            _|
//               _|_|              _|
#include <iostream>
#include <cassert>
#include <vector>

using namespace std;

// #define DEBUG
#ifdef DEBUG
#define dassert(x) assert(x);
#define df(...) printf(__VA_ARGS__)
#else
#define dassert(x)
#define df(...)
#endif

#define x first
#define y second
#define mp make_pair
#define pb push_back
#define ir(x, a, b) ((a) <= (x) && (x) <= (b))
#define vec vector
#define sz(x) (ll)x.size()
#define foru(i, n) for (int i = 0; (i) < (n); ++(i))
#define all(x) (x).begin(), (x).end()

typedef int64_t ll;

int read() {
    int n = 0; bool b = 0; char c = getchar();
    for (; !ir(c, '0', '9'); c = getchar()) b = (c == '-');
    for (; ir(c, '0', '9'); c = getchar()) n = 10*n + (c-'0');
    if (b) return -n;
    return n;
}

vec<vec<pair<int, int>>> g;
vec<int> ct;
vec<char> used;

// edges, vertices
pair<int, int> count(int v) {
    used[v] = 1;
    int se = ct[v], sv = 1;
    for (auto [c, _] : g[v]) {
        if (used[c]) continue;
        auto [ce, cv] = count(c);
        se += ce, sv += cv;
    }
    return {se, sv};
}

int cycle(int v, int p) {
    // df("visiting %d\n", v);
    used[v] = 1;
    int ret = -1;
    for (auto [c, _] : g[v]) {
        if (c == p) continue;
        if (used[c]) { ret = v; continue; }
        int res = cycle(c, v);
        if (res != -1) ret = res;
    }
    return ret;
}

pair<int, int> dfs(int v, int p, int val, int costdown) {
    used[v] = 1;
    int sum = 0, cycle = 1e9;
    bool covered = 0;
    // df("costdown: %d\n", costdown);
    for (auto [c, cost] : g[v]) {
        if (c == p && cost == -costdown && !covered) {
            covered = 1;
            continue;
        }
        if (used[c]) {
            if (v == p) continue;
            // cout << "set cycle " << v <<  " " << c << " " << cost << endl;
            cycle = val + cost;
            sum += cost;
        } else {
            auto [ss, cyc] = dfs(c, v, val + cost, cost);
            if (cyc != 1e9) cycle = cyc;
            sum += ss + cost;
        }
    }
    return {sum, cycle};
}

void fail() {
    cout << "NO\n";
    exit(0);
}

void succeed() {
    cout << "YES\n";
    exit(0);
}

int main() {
    df("debug mode\n");
#ifndef DEBUG
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
    int n, k;
    cin >> n >> k;
    g.resize(2*n);
    ct.resize(2*n);
    used.resize(2*n);
    foru (i, 2*n) {
        int v, u, s;
        cin >> v >> u >> s;
        u += n;
        --v, --u;
        df("%d--%d\n", v, u);
        g[v].pb({u, s});
        g[u].pb({v, -s});
        ++ct[u], ++ct[v];
    }
    foru (v, 2*n) {
        if (used[v]) continue;
        auto [ce, cv] = count(v);
        ce /= 2; // in and out counted twice
        if (ce != cv) fail();
    }
    used.assign(2*n, 0);
    foru (v, 2*n) {
        if (used[v]) continue;
        auto [ce, cv] = count(v);
        ce /= 2; // in and out counted twice
        if (ce != cv) fail();
    }
    used.assign(2*n, 0);
    vec<int> roots;
    foru (v, 2*n) {
        if (used[v]) continue;
        roots.pb(cycle(v, v));
        df("added root %d\n", roots.back());
        dassert(roots.back() != -1);
    }
    used.assign(2*n, 0);
    int zero = 0;
    vec<int> ns;
    for (auto root : roots) {
        df("root: %d\n", root);
        auto [sum, cycle] = dfs(root, root, 0, 0);
        // cout << sum << " " << cycle << "\n";
        int a = sum, b = sum - 2*cycle;
        if (b < a) swap(a, b);
        zero -= a, b -= a, a -= a; // moving everything by -a
        df("b: %d\n", b);
        if (b) ns.pb(b);
    }
    df("zero: %d\n", zero);
    // we want a number between zero - k, zero + k
    if (zero - k <= 0 && zero + k >= 0) succeed();
    if (zero < 0) fail();
    vec<char> dp(zero + k + 1);
    dp[0] = 1;
    for (auto x : ns) {
        // cout << x << endl;
        for (int i = zero + k; i > 0; --i) {
            if (i - x >= 0 && dp[i - x]) {
                dp[i] = 1;
            }
        }
    }
    for (int i = zero - k; i <= zero + k; ++i) {
        if (dp[i]) succeed();
    }
    fail();
    return 0;
}

Subtask #1
18.0 / 18.0

# 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 316 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct

Subtask #2
30.0 / 30.0

# 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 316 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 31 ms 596 KB Output is correct
27 Correct 13 ms 608 KB Output is correct
28 Correct 32 ms 576 KB Output is correct
29 Correct 14 ms 596 KB Output is correct
30 Correct 30 ms 596 KB Output is correct
31 Correct 14 ms 596 KB Output is correct
32 Correct 38 ms 604 KB Output is correct
33 Correct 13 ms 596 KB Output is correct
34 Correct 7 ms 580 KB Output is correct
35 Correct 18 ms 604 KB Output is correct
36 Correct 34 ms 468 KB Output is correct
37 Correct 14 ms 604 KB Output is correct
38 Correct 35 ms 596 KB Output is correct
39 Correct 14 ms 596 KB Output is correct
40 Correct 32 ms 468 KB Output is correct
41 Correct 13 ms 592 KB Output is correct
42 Correct 32 ms 576 KB Output is correct
43 Correct 14 ms 604 KB Output is correct
44 Correct 32 ms 468 KB Output is correct
45 Correct 17 ms 600 KB Output is correct
46 Correct 34 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 2 ms 468 KB Output is correct
49 Correct 2 ms 468 KB Output is correct
50 Correct 89 ms 648 KB Output is correct
51 Correct 88 ms 652 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1620 KB Output is correct
2 Correct 7 ms 1536 KB Output is correct
3 Correct 8 ms 1620 KB Output is correct
4 Correct 7 ms 1608 KB Output is correct
5 Correct 8 ms 1620 KB Output is correct
6 Correct 8 ms 1596 KB Output is correct
7 Correct 7 ms 1620 KB Output is correct
8 Correct 7 ms 1620 KB Output is correct
9 Correct 7 ms 1620 KB Output is correct
10 Correct 7 ms 1620 KB Output is correct
11 Correct 9 ms 1632 KB Output is correct
12 Correct 8 ms 1620 KB Output is correct
13 Correct 7 ms 1620 KB Output is correct
14 Correct 8 ms 1528 KB Output is correct
15 Correct 8 ms 1576 KB Output is correct
16 Correct 8 ms 1620 KB Output is correct
17 Correct 7 ms 1620 KB Output is correct
18 Correct 9 ms 1620 KB Output is correct
19 Correct 7 ms 1620 KB Output is correct
20 Correct 8 ms 1620 KB Output is correct
21 Correct 8 ms 1620 KB Output is correct
22 Correct 10 ms 1620 KB Output is correct

Subtask #4
0 / 29.0

# 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 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 316 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 31 ms 596 KB Output is correct
27 Correct 13 ms 608 KB Output is correct
28 Correct 32 ms 576 KB Output is correct
29 Correct 14 ms 596 KB Output is correct
30 Correct 30 ms 596 KB Output is correct
31 Correct 14 ms 596 KB Output is correct
32 Correct 38 ms 604 KB Output is correct
33 Correct 13 ms 596 KB Output is correct
34 Correct 7 ms 580 KB Output is correct
35 Correct 18 ms 604 KB Output is correct
36 Correct 34 ms 468 KB Output is correct
37 Correct 14 ms 604 KB Output is correct
38 Correct 35 ms 596 KB Output is correct
39 Correct 14 ms 596 KB Output is correct
40 Correct 32 ms 468 KB Output is correct
41 Correct 13 ms 592 KB Output is correct
42 Correct 32 ms 576 KB Output is correct
43 Correct 14 ms 604 KB Output is correct
44 Correct 32 ms 468 KB Output is correct
45 Correct 17 ms 600 KB Output is correct
46 Correct 34 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 2 ms 468 KB Output is correct
49 Correct 2 ms 468 KB Output is correct
50 Correct 89 ms 648 KB Output is correct
51 Correct 88 ms 652 KB Output is correct
52 Correct 7 ms 1620 KB Output is correct
53 Correct 7 ms 1536 KB Output is correct
54 Correct 8 ms 1620 KB Output is correct
55 Correct 7 ms 1608 KB Output is correct
56 Correct 8 ms 1620 KB Output is correct
57 Correct 8 ms 1596 KB Output is correct
58 Correct 7 ms 1620 KB Output is correct
59 Correct 7 ms 1620 KB Output is correct
60 Correct 7 ms 1620 KB Output is correct
61 Correct 7 ms 1620 KB Output is correct
62 Correct 9 ms 1632 KB Output is correct
63 Correct 8 ms 1620 KB Output is correct
64 Correct 7 ms 1620 KB Output is correct
65 Correct 8 ms 1528 KB Output is correct
66 Correct 8 ms 1576 KB Output is correct
67 Correct 8 ms 1620 KB Output is correct
68 Correct 7 ms 1620 KB Output is correct
69 Correct 9 ms 1620 KB Output is correct
70 Correct 7 ms 1620 KB Output is correct
71 Correct 8 ms 1620 KB Output is correct
72 Correct 8 ms 1620 KB Output is correct
73 Correct 10 ms 1620 KB Output is correct
74 Execution timed out 3063 ms 5180 KB Time limit exceeded
75 Halted 0 ms 0 KB -