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Submission #675943

# Submission time Handle Problem Language Result Execution time Memory
675943 2022-12-28T13:04:00 Z stevancv Graph (BOI20_graph) C++14
100 / 100
 185 ms 32288 KB 
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 3e5 + 2;
const int mod = 1e9 + 7;
const double inf = -1e6;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, m;
    cin >> n >> m;
    vector<vector<pair<int, int>>> g(n);
    for (int i = 0; i < m; i++) {
        int u, v, w;
        cin >> u >> v >> w;
        u -= 1; v -= 1;
        g[u].push_back({v, w});
        g[v].push_back({u, w});
    }
    vector<int> comp, was(n);
    vector<double> ans(n);
    vector<vector<pair<int, int>>> r(n);
    function<void(int, int, int, int)> Dfs = [&] (int s, int e, int a, int b) {
        was[s] = 1;
        r[s].push_back({a, b});
        comp.push_back(s);
        for (auto u : g[s]) {
            if (u.first == e) continue;
            if (was[u.first] == 0) {
                Dfs(u.first, s, -a, u.second - b);
            }
            else {
                int aa = r[u.first].back().first;
                int bb = r[u.first].back().second;
                r[s].push_back({-aa, u.second - bb});
            }
        }
    };
    for (int i = 0; i < n; i++) {
        if (was[i] == 1) continue;
        Dfs(i, -1, 1, 0);
        int ok = 1;
        double pot = inf;
        for (int j : comp) {
            sort(r[j].begin(), r[j].end());
            r[j].erase(unique(r[j].begin(), r[j].end()), r[j].end());
            for (int k = 1; k < r[j].size(); k++) {
                if (r[j][k].first == r[j][k - 1].first) {
                    cout << "NO\n";
                    return 0;
                }
                double x = (double)(r[j][k].second - r[j][k - 1].second) / (r[j][k - 1].first - r[j][k].first);
                if (pot == inf) pot = x;
                else if (pot != x) {
                    cout << "NO\n";
                    return 0;
                }
            }
        }
        if (pot == inf) {
            vector<int> v;
            for (int j : comp) {
                v.push_back(-1 * r[j][0].first * r[j][0].second);
            }
            sort(v.begin(), v.end());
            int ind = comp.size() / 2;
            pot = v[ind];
        }
        for (int j : comp) {
            ans[j] = 1.0 * r[j][0].first * pot + r[j][0].second;
        }
        comp.clear();
    }
    cout << "YES\n";
    for (int i = 0; i < n; i++) cout << fixed << showpoint << setprecision(1) << ans[i] << sp;
    return 0;
}

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:53:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |             for (int k = 1; k < r[j].size(); k++) {
      |                             ~~^~~~~~~~~~~~~
Graph.cpp:48:13: warning: unused variable 'ok' [-Wunused-variable]
   48 |         int ok = 1;
      |             ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 340 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 0 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 0 ms 320 KB answer = YES
7 Correct 1 ms 212 KB answer = YES
8 Correct 1 ms 320 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 1 ms 324 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 1 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 1 ms 212 KB answer = YES
20 Correct 0 ms 316 KB answer = YES
21 Correct 1 ms 212 KB answer = YES
22 Correct 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 340 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 0 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 0 ms 320 KB answer = YES
7 Correct 1 ms 212 KB answer = YES
8 Correct 1 ms 320 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 1 ms 324 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 1 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 1 ms 212 KB answer = YES
20 Correct 0 ms 316 KB answer = YES
21 Correct 1 ms 212 KB answer = YES
22 Correct 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 320 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 1 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 1 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 340 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 312 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 340 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 0 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 0 ms 320 KB answer = YES
7 Correct 1 ms 212 KB answer = YES
8 Correct 1 ms 320 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 1 ms 324 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 1 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 1 ms 212 KB answer = YES
20 Correct 0 ms 316 KB answer = YES
21 Correct 1 ms 212 KB answer = YES
22 Correct 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 320 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 1 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 1 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 340 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 312 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 320 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 1 ms 468 KB answer = YES
43 Correct 1 ms 468 KB answer = YES
44 Correct 1 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 456 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 340 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 0 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 0 ms 320 KB answer = YES
7 Correct 1 ms 212 KB answer = YES
8 Correct 1 ms 320 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 1 ms 324 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 1 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 1 ms 212 KB answer = YES
20 Correct 0 ms 316 KB answer = YES
21 Correct 1 ms 212 KB answer = YES
22 Correct 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 320 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 1 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 1 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 340 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 312 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 320 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 1 ms 468 KB answer = YES
43 Correct 1 ms 468 KB answer = YES
44 Correct 1 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 456 KB answer = YES
49 Correct 9 ms 1996 KB answer = YES
50 Correct 8 ms 2360 KB answer = YES
51 Correct 9 ms 2388 KB answer = YES
52 Correct 6 ms 2260 KB answer = NO
53 Correct 1 ms 468 KB answer = YES
54 Correct 2 ms 664 KB answer = YES
55 Correct 6 ms 1108 KB answer = YES
56 Correct 9 ms 1876 KB answer = YES
57 Correct 8 ms 1744 KB answer = YES
58 Correct 8 ms 1616 KB answer = YES
59 Correct 7 ms 1620 KB answer = YES
60 Correct 8 ms 1748 KB answer = YES
61 Correct 4 ms 1060 KB answer = YES
62 Correct 66 ms 12624 KB answer = NO
63 Correct 64 ms 12564 KB answer = YES
64 Correct 86 ms 12532 KB answer = NO
65 Correct 68 ms 12644 KB answer = YES
66 Correct 2 ms 596 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB answer = YES
2 Correct 1 ms 340 KB answer = YES
3 Correct 1 ms 212 KB answer = YES
4 Correct 0 ms 212 KB answer = NO
5 Correct 1 ms 212 KB answer = YES
6 Correct 0 ms 320 KB answer = YES
7 Correct 1 ms 212 KB answer = YES
8 Correct 1 ms 320 KB answer = YES
9 Correct 1 ms 212 KB answer = NO
10 Correct 1 ms 324 KB answer = YES
11 Correct 0 ms 212 KB answer = YES
12 Correct 0 ms 212 KB answer = NO
13 Correct 0 ms 212 KB answer = YES
14 Correct 1 ms 212 KB answer = YES
15 Correct 0 ms 212 KB answer = YES
16 Correct 1 ms 212 KB answer = YES
17 Correct 1 ms 212 KB answer = YES
18 Correct 1 ms 212 KB answer = YES
19 Correct 1 ms 212 KB answer = YES
20 Correct 0 ms 316 KB answer = YES
21 Correct 1 ms 212 KB answer = YES
22 Correct 1 ms 212 KB answer = NO
23 Correct 0 ms 212 KB answer = NO
24 Correct 1 ms 320 KB answer = YES
25 Correct 1 ms 212 KB answer = YES
26 Correct 1 ms 212 KB answer = YES
27 Correct 0 ms 212 KB answer = YES
28 Correct 1 ms 212 KB answer = YES
29 Correct 1 ms 212 KB answer = YES
30 Correct 1 ms 340 KB answer = NO
31 Correct 1 ms 212 KB answer = YES
32 Correct 0 ms 212 KB answer = YES
33 Correct 1 ms 212 KB answer = YES
34 Correct 1 ms 212 KB answer = YES
35 Correct 1 ms 212 KB answer = YES
36 Correct 1 ms 312 KB answer = YES
37 Correct 1 ms 340 KB answer = YES
38 Correct 1 ms 320 KB answer = YES
39 Correct 1 ms 340 KB answer = YES
40 Correct 1 ms 468 KB answer = YES
41 Correct 1 ms 468 KB answer = NO
42 Correct 1 ms 468 KB answer = YES
43 Correct 1 ms 468 KB answer = YES
44 Correct 1 ms 468 KB answer = YES
45 Correct 1 ms 468 KB answer = YES
46 Correct 1 ms 340 KB answer = YES
47 Correct 1 ms 468 KB answer = YES
48 Correct 1 ms 456 KB answer = YES
49 Correct 9 ms 1996 KB answer = YES
50 Correct 8 ms 2360 KB answer = YES
51 Correct 9 ms 2388 KB answer = YES
52 Correct 6 ms 2260 KB answer = NO
53 Correct 1 ms 468 KB answer = YES
54 Correct 2 ms 664 KB answer = YES
55 Correct 6 ms 1108 KB answer = YES
56 Correct 9 ms 1876 KB answer = YES
57 Correct 8 ms 1744 KB answer = YES
58 Correct 8 ms 1616 KB answer = YES
59 Correct 7 ms 1620 KB answer = YES
60 Correct 8 ms 1748 KB answer = YES
61 Correct 4 ms 1060 KB answer = YES
62 Correct 66 ms 12624 KB answer = NO
63 Correct 64 ms 12564 KB answer = YES
64 Correct 86 ms 12532 KB answer = NO
65 Correct 68 ms 12644 KB answer = YES
66 Correct 2 ms 596 KB answer = YES
67 Correct 86 ms 25868 KB answer = YES
68 Correct 76 ms 25812 KB answer = YES
69 Correct 71 ms 25536 KB answer = YES
70 Correct 109 ms 32288 KB answer = YES
71 Correct 89 ms 25540 KB answer = YES
72 Correct 95 ms 15556 KB answer = YES
73 Correct 111 ms 15172 KB answer = YES
74 Correct 69 ms 15332 KB answer = YES
75 Correct 32 ms 14900 KB answer = NO
76 Correct 10 ms 2200 KB answer = YES
77 Correct 20 ms 4084 KB answer = YES
78 Correct 34 ms 6944 KB answer = YES
79 Correct 114 ms 13376 KB answer = YES
80 Correct 61 ms 15436 KB answer = YES
81 Correct 57 ms 19984 KB answer = NO
82 Correct 106 ms 24636 KB answer = YES
83 Correct 132 ms 25704 KB answer = YES
84 Correct 111 ms 25848 KB answer = YES
85 Correct 81 ms 25796 KB answer = YES
86 Correct 87 ms 25600 KB answer = YES
87 Correct 54 ms 15180 KB answer = NO
88 Correct 106 ms 19080 KB answer = YES
89 Correct 104 ms 14204 KB answer = YES
90 Correct 88 ms 14104 KB answer = YES
91 Correct 109 ms 14156 KB answer = YES
92 Correct 42 ms 7704 KB answer = YES
93 Correct 39 ms 7744 KB answer = YES
94 Correct 87 ms 25156 KB answer = NO
95 Correct 46 ms 10956 KB answer = NO
96 Correct 185 ms 26796 KB answer = YES
97 Correct 48 ms 25064 KB answer = NO