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Submission #482970

# Submission time Handle Problem Language Result Execution time Memory
482970 2021-10-27T06:11:33 Z sberens Graph (BOI20_graph) C++17
100 / 100
 241 ms 28164 KB 
#include <bits/stdc++.h>

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename K> using hset = gp_hash_table<K, null_type>;
template <typename K, typename V> using hmap = gp_hash_table<K, V>;


using namespace std;

#define all(x) (x).begin(), (x).end()
#define pb push_back
#define eb emplace_back
#define smax(x, y) (x = max(x, y))
#define smin(x, y) (x = min(x, y))

using ll = long long;
using ld = long double;

template <typename T>
using vv = vector<vector<T>>;

using vi = vector<int>;
using ii = array<int, 2>;
using vii = vector<ii>;
using vvi = vv<int>;

using vll = vector<ll>;
using l2 = array<ll, 2>;
using vl2 = vector<l2>;
using vvll = vv<ll>;

template <typename T>
using minq = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
using maxq = priority_queue<T>;

const ll M = 1000000007;

int n, m;
vv<ii> g;
using valt = ii;
vector<set<valt>> coefs;
vi vis;

tuple<bool, vvi> solve() {
    vvi comps;
    for (int i = 1; i <= n; ++i) {
        if (vis[i]) continue;
        comps.pb({});
        queue<tuple<int, valt>> q; // node, val
        q.push({i, {1, 0}});
        while (!q.empty()) {
            auto [u, val] = q.front(); q.pop();
            coefs[u].insert(val);
            if (vis[u]) {
                if (coefs[u].size() > 2) return {false, {}};
                continue;
            }
            vis[u] = true;
            comps.back().pb(u);
            auto [a, b] = val;
            for (auto [v, c]: g[u]) {
                q.push({v, {-a, c-b}});
            }
        }

    }
    return {true, comps};
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    g.assign(n + 1, vii{});
    coefs.assign(n + 1, set<valt>{});
    vis.assign(n + 1, false);

    for (int i = 0; i < m; ++i) {
        int a, b, c;
        cin >> a >> b >> c;
        g[a].pb({b, c});
        g[b].pb({a, c});
    }
    auto [poss, comps] = solve();
    if (poss) {
        vector<long double> vals(n + 1);
        for (const auto & comp : comps) {
            vi pts;
            long double x;
            bool fixed = false;
            for (int u : comp) {
                auto [a, b] = *coefs[u].begin();
                pts.pb(-a * b);
                if (coefs[u].size() == 2) {
                    auto [a1, b1] = *coefs[u].begin();
                    auto [a2, b2] = *(++coefs[u].begin());
                    long double tmp = (b2 - b1) / (0.l + a1 - a2);
                    if (b1 == b2) tmp = 0;
                    if ((a1 == a2) || (fixed && fabs(tmp - x) > DBL_EPSILON)) {
                        cout << "NO\n";
                        exit(0);
                    }
                    x = tmp;
                    fixed = true;
                }
            }
            if (!fixed) {
                sort(all(pts));
                if (pts.size() % 2 == 1) x = pts[pts.size() / 2];
                else x = (pts[pts.size() / 2 - 1] + pts[pts.size() / 2]) / 2.l;
            }
            for (int u : comp) {
                auto [a, b] = *coefs[u].begin();
                vals[u] = a * x + b;
            }
        }
        cout << "YES\n";
        for (int i = 1; i <= n; ++i) {
            cout << vals[i] << ' ';
        }
        cout << '\n';
    } else {
        cout << "NO\n";
    }

}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB answer = YES
2 Correct 0 ms 204 KB answer = YES
3 Correct 1 ms 204 KB answer = YES
4 Correct 1 ms 204 KB answer = NO
5 Correct 1 ms 204 KB answer = YES
6 Correct 0 ms 204 KB answer = YES
7 Correct 0 ms 204 KB answer = YES
8 Correct 1 ms 204 KB answer = YES
9 Correct 0 ms 204 KB answer = NO
10 Correct 1 ms 204 KB answer = YES
11 Correct 1 ms 204 KB answer = YES
12 Correct 1 ms 204 KB answer = NO
13 Correct 1 ms 204 KB answer = YES
14 Correct 1 ms 204 KB answer = YES
15 Correct 1 ms 204 KB answer = YES
16 Correct 0 ms 204 KB answer = YES
17 Correct 0 ms 204 KB answer = YES
18 Correct 1 ms 204 KB answer = YES
19 Correct 0 ms 204 KB answer = YES
20 Correct 1 ms 204 KB answer = YES
21 Correct 0 ms 204 KB answer = YES
22 Correct 0 ms 204 KB answer = NO
23 Correct 0 ms 204 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB answer = YES
2 Correct 0 ms 204 KB answer = YES
3 Correct 1 ms 204 KB answer = YES
4 Correct 1 ms 204 KB answer = NO
5 Correct 1 ms 204 KB answer = YES
6 Correct 0 ms 204 KB answer = YES
7 Correct 0 ms 204 KB answer = YES
8 Correct 1 ms 204 KB answer = YES
9 Correct 0 ms 204 KB answer = NO
10 Correct 1 ms 204 KB answer = YES
11 Correct 1 ms 204 KB answer = YES
12 Correct 1 ms 204 KB answer = NO
13 Correct 1 ms 204 KB answer = YES
14 Correct 1 ms 204 KB answer = YES
15 Correct 1 ms 204 KB answer = YES
16 Correct 0 ms 204 KB answer = YES
17 Correct 0 ms 204 KB answer = YES
18 Correct 1 ms 204 KB answer = YES
19 Correct 0 ms 204 KB answer = YES
20 Correct 1 ms 204 KB answer = YES
21 Correct 0 ms 204 KB answer = YES
22 Correct 0 ms 204 KB answer = NO
23 Correct 0 ms 204 KB answer = NO
24 Correct 0 ms 204 KB answer = YES
25 Correct 0 ms 312 KB answer = YES
26 Correct 0 ms 332 KB answer = YES
27 Correct 1 ms 204 KB answer = YES
28 Correct 0 ms 332 KB answer = YES
29 Correct 1 ms 280 KB answer = YES
30 Correct 0 ms 204 KB answer = NO
31 Correct 0 ms 204 KB answer = YES
32 Correct 1 ms 332 KB answer = YES
33 Correct 1 ms 204 KB answer = YES
34 Correct 0 ms 332 KB answer = YES
35 Correct 1 ms 204 KB answer = YES
36 Correct 0 ms 204 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB answer = YES
2 Correct 0 ms 204 KB answer = YES
3 Correct 1 ms 204 KB answer = YES
4 Correct 1 ms 204 KB answer = NO
5 Correct 1 ms 204 KB answer = YES
6 Correct 0 ms 204 KB answer = YES
7 Correct 0 ms 204 KB answer = YES
8 Correct 1 ms 204 KB answer = YES
9 Correct 0 ms 204 KB answer = NO
10 Correct 1 ms 204 KB answer = YES
11 Correct 1 ms 204 KB answer = YES
12 Correct 1 ms 204 KB answer = NO
13 Correct 1 ms 204 KB answer = YES
14 Correct 1 ms 204 KB answer = YES
15 Correct 1 ms 204 KB answer = YES
16 Correct 0 ms 204 KB answer = YES
17 Correct 0 ms 204 KB answer = YES
18 Correct 1 ms 204 KB answer = YES
19 Correct 0 ms 204 KB answer = YES
20 Correct 1 ms 204 KB answer = YES
21 Correct 0 ms 204 KB answer = YES
22 Correct 0 ms 204 KB answer = NO
23 Correct 0 ms 204 KB answer = NO
24 Correct 0 ms 204 KB answer = YES
25 Correct 0 ms 312 KB answer = YES
26 Correct 0 ms 332 KB answer = YES
27 Correct 1 ms 204 KB answer = YES
28 Correct 0 ms 332 KB answer = YES
29 Correct 1 ms 280 KB answer = YES
30 Correct 0 ms 204 KB answer = NO
31 Correct 0 ms 204 KB answer = YES
32 Correct 1 ms 332 KB answer = YES
33 Correct 1 ms 204 KB answer = YES
34 Correct 0 ms 332 KB answer = YES
35 Correct 1 ms 204 KB answer = YES
36 Correct 0 ms 204 KB answer = YES
37 Correct 1 ms 332 KB answer = YES
38 Correct 1 ms 332 KB answer = YES
39 Correct 1 ms 332 KB answer = YES
40 Correct 1 ms 460 KB answer = YES
41 Correct 1 ms 460 KB answer = NO
42 Correct 1 ms 460 KB answer = YES
43 Correct 1 ms 460 KB answer = YES
44 Correct 1 ms 460 KB answer = YES
45 Correct 1 ms 460 KB answer = YES
46 Correct 1 ms 332 KB answer = YES
47 Correct 1 ms 460 KB answer = YES
48 Correct 1 ms 460 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB answer = YES
2 Correct 0 ms 204 KB answer = YES
3 Correct 1 ms 204 KB answer = YES
4 Correct 1 ms 204 KB answer = NO
5 Correct 1 ms 204 KB answer = YES
6 Correct 0 ms 204 KB answer = YES
7 Correct 0 ms 204 KB answer = YES
8 Correct 1 ms 204 KB answer = YES
9 Correct 0 ms 204 KB answer = NO
10 Correct 1 ms 204 KB answer = YES
11 Correct 1 ms 204 KB answer = YES
12 Correct 1 ms 204 KB answer = NO
13 Correct 1 ms 204 KB answer = YES
14 Correct 1 ms 204 KB answer = YES
15 Correct 1 ms 204 KB answer = YES
16 Correct 0 ms 204 KB answer = YES
17 Correct 0 ms 204 KB answer = YES
18 Correct 1 ms 204 KB answer = YES
19 Correct 0 ms 204 KB answer = YES
20 Correct 1 ms 204 KB answer = YES
21 Correct 0 ms 204 KB answer = YES
22 Correct 0 ms 204 KB answer = NO
23 Correct 0 ms 204 KB answer = NO
24 Correct 0 ms 204 KB answer = YES
25 Correct 0 ms 312 KB answer = YES
26 Correct 0 ms 332 KB answer = YES
27 Correct 1 ms 204 KB answer = YES
28 Correct 0 ms 332 KB answer = YES
29 Correct 1 ms 280 KB answer = YES
30 Correct 0 ms 204 KB answer = NO
31 Correct 0 ms 204 KB answer = YES
32 Correct 1 ms 332 KB answer = YES
33 Correct 1 ms 204 KB answer = YES
34 Correct 0 ms 332 KB answer = YES
35 Correct 1 ms 204 KB answer = YES
36 Correct 0 ms 204 KB answer = YES
37 Correct 1 ms 332 KB answer = YES
38 Correct 1 ms 332 KB answer = YES
39 Correct 1 ms 332 KB answer = YES
40 Correct 1 ms 460 KB answer = YES
41 Correct 1 ms 460 KB answer = NO
42 Correct 1 ms 460 KB answer = YES
43 Correct 1 ms 460 KB answer = YES
44 Correct 1 ms 460 KB answer = YES
45 Correct 1 ms 460 KB answer = YES
46 Correct 1 ms 332 KB answer = YES
47 Correct 1 ms 460 KB answer = YES
48 Correct 1 ms 460 KB answer = YES
49 Correct 9 ms 2252 KB answer = YES
50 Correct 9 ms 2320 KB answer = YES
51 Correct 9 ms 2252 KB answer = YES
52 Correct 5 ms 2124 KB answer = NO
53 Correct 1 ms 460 KB answer = YES
54 Correct 2 ms 716 KB answer = YES
55 Correct 5 ms 1228 KB answer = YES
56 Correct 10 ms 2252 KB answer = YES
57 Correct 10 ms 2244 KB answer = YES
58 Correct 8 ms 2124 KB answer = YES
59 Correct 8 ms 2124 KB answer = YES
60 Correct 9 ms 2324 KB answer = YES
61 Correct 7 ms 1356 KB answer = YES
62 Correct 49 ms 8308 KB answer = NO
63 Correct 70 ms 12228 KB answer = YES
64 Correct 74 ms 12324 KB answer = NO
65 Correct 72 ms 12284 KB answer = YES
66 Correct 2 ms 716 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB answer = YES
2 Correct 0 ms 204 KB answer = YES
3 Correct 1 ms 204 KB answer = YES
4 Correct 1 ms 204 KB answer = NO
5 Correct 1 ms 204 KB answer = YES
6 Correct 0 ms 204 KB answer = YES
7 Correct 0 ms 204 KB answer = YES
8 Correct 1 ms 204 KB answer = YES
9 Correct 0 ms 204 KB answer = NO
10 Correct 1 ms 204 KB answer = YES
11 Correct 1 ms 204 KB answer = YES
12 Correct 1 ms 204 KB answer = NO
13 Correct 1 ms 204 KB answer = YES
14 Correct 1 ms 204 KB answer = YES
15 Correct 1 ms 204 KB answer = YES
16 Correct 0 ms 204 KB answer = YES
17 Correct 0 ms 204 KB answer = YES
18 Correct 1 ms 204 KB answer = YES
19 Correct 0 ms 204 KB answer = YES
20 Correct 1 ms 204 KB answer = YES
21 Correct 0 ms 204 KB answer = YES
22 Correct 0 ms 204 KB answer = NO
23 Correct 0 ms 204 KB answer = NO
24 Correct 0 ms 204 KB answer = YES
25 Correct 0 ms 312 KB answer = YES
26 Correct 0 ms 332 KB answer = YES
27 Correct 1 ms 204 KB answer = YES
28 Correct 0 ms 332 KB answer = YES
29 Correct 1 ms 280 KB answer = YES
30 Correct 0 ms 204 KB answer = NO
31 Correct 0 ms 204 KB answer = YES
32 Correct 1 ms 332 KB answer = YES
33 Correct 1 ms 204 KB answer = YES
34 Correct 0 ms 332 KB answer = YES
35 Correct 1 ms 204 KB answer = YES
36 Correct 0 ms 204 KB answer = YES
37 Correct 1 ms 332 KB answer = YES
38 Correct 1 ms 332 KB answer = YES
39 Correct 1 ms 332 KB answer = YES
40 Correct 1 ms 460 KB answer = YES
41 Correct 1 ms 460 KB answer = NO
42 Correct 1 ms 460 KB answer = YES
43 Correct 1 ms 460 KB answer = YES
44 Correct 1 ms 460 KB answer = YES
45 Correct 1 ms 460 KB answer = YES
46 Correct 1 ms 332 KB answer = YES
47 Correct 1 ms 460 KB answer = YES
48 Correct 1 ms 460 KB answer = YES
49 Correct 9 ms 2252 KB answer = YES
50 Correct 9 ms 2320 KB answer = YES
51 Correct 9 ms 2252 KB answer = YES
52 Correct 5 ms 2124 KB answer = NO
53 Correct 1 ms 460 KB answer = YES
54 Correct 2 ms 716 KB answer = YES
55 Correct 5 ms 1228 KB answer = YES
56 Correct 10 ms 2252 KB answer = YES
57 Correct 10 ms 2244 KB answer = YES
58 Correct 8 ms 2124 KB answer = YES
59 Correct 8 ms 2124 KB answer = YES
60 Correct 9 ms 2324 KB answer = YES
61 Correct 7 ms 1356 KB answer = YES
62 Correct 49 ms 8308 KB answer = NO
63 Correct 70 ms 12228 KB answer = YES
64 Correct 74 ms 12324 KB answer = NO
65 Correct 72 ms 12284 KB answer = YES
66 Correct 2 ms 716 KB answer = YES
67 Correct 87 ms 19684 KB answer = YES
68 Correct 90 ms 19716 KB answer = YES
69 Correct 83 ms 19760 KB answer = YES
70 Correct 127 ms 28164 KB answer = YES
71 Correct 88 ms 19748 KB answer = YES
72 Correct 145 ms 20392 KB answer = YES
73 Correct 115 ms 20352 KB answer = YES
74 Correct 64 ms 12864 KB answer = YES
75 Correct 41 ms 12740 KB answer = NO
76 Correct 12 ms 2764 KB answer = YES
77 Correct 24 ms 5224 KB answer = YES
78 Correct 45 ms 8928 KB answer = YES
79 Correct 97 ms 17516 KB answer = YES
80 Correct 66 ms 12864 KB answer = YES
81 Correct 60 ms 18972 KB answer = NO
82 Correct 111 ms 19740 KB answer = YES
83 Correct 129 ms 19708 KB answer = YES
84 Correct 122 ms 19860 KB answer = YES
85 Correct 86 ms 19736 KB answer = YES
86 Correct 83 ms 19764 KB answer = YES
87 Correct 77 ms 19164 KB answer = NO
88 Correct 121 ms 19584 KB answer = YES
89 Correct 121 ms 22700 KB answer = YES
90 Correct 123 ms 22632 KB answer = YES
91 Correct 134 ms 22712 KB answer = YES
92 Correct 51 ms 10372 KB answer = YES
93 Correct 51 ms 10364 KB answer = YES
94 Correct 68 ms 19752 KB answer = NO
95 Correct 84 ms 22288 KB answer = NO
96 Correct 241 ms 27060 KB answer = YES
97 Correct 44 ms 19744 KB answer = NO