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Submission #725066

# Submission time Handle Problem Language Result Execution time Memory
725066 2023-04-16T17:21:02 Z _martynas Graph (BOI20_graph) C++11
100 / 100
 251 ms 20932 KB 
#include <bits/stdc++.h>

using namespace std;

#define F first
#define S second
#define PB push_back
#define all(a) (a).begin(), (a).end()

using pii = pair<int, int>;
using vi = vector<int>;

// a*x+b
struct LinearEq {
    double a, b;
};

const int MXN = 1e5+5;
const double EPS = 1e-6;

int n, m;
vector<pii> adj[MXN];
bool visited[MXN];
LinearEq leq[MXN];
double X[MXN];
bool bad = false;
double x = -1.1e9;
vi comp;

void dfs(int u) {
    comp.PB(u);
    for(auto e : adj[u]) {
        int v = e.F; double w = e.S;
        if(visited[v]) {
            if(abs(leq[v].a)<EPS) {
                // v is known
                double xx = (w-(leq[u].b+leq[v].b))/leq[u].a;
                if(x > -1e9 && abs(x-xx) > EPS) bad = true;
                x = xx;
                continue;
            }
            if(abs(leq[u].a-leq[v].a)>EPS) {
                if(abs(w-(leq[u].b+leq[v].b)) > EPS) {
                    bad = true;
                }
            }
            else {
                double xx = (w-(leq[u].b+leq[v].b))/(leq[u].a+leq[v].a);
                if(x > -1e9 && abs(x-xx) > EPS) bad = true;
                x = xx;
            }
        }
        else {
            leq[v].a = -leq[u].a;
            leq[v].b = w-leq[u].b;
            visited[v] = true;
            dfs(v);
        }
    }
}

int main() {
    cin >> n >> m;
    for(int i = 0; i < m; i++) {
        int a, b, c; cin >> a >> b >> c;
        adj[a].PB({b, c});
        adj[b].PB({a, c});
    }

    for(int i = 1; i <= n; i++) {
        sort(all(adj[i]));
        for(int j = 1; j < adj[i].size(); j++) {
            if(adj[i][j].F == adj[i][j-1].F && adj[i][j].S != adj[i][j-1].S) {
                cout << "NO\n";
                return 0;
            }
            if(adj[i][j].F == i) {
                visited[i] = true;
                X[i] = 0.5*adj[i][j].S;
                leq[i].b = X[i];
            }
        }
    }

    for(int i = 1; i <= n; i++) {
        if(visited[i]) continue;
        visited[i] = true;
        leq[i] = {1, 0};
        x = -1.1e9;
        comp.clear();
        dfs(i);
        if(bad) {
            cout << "NO\n";
            return 0;
        }
        if(x < -1e9) {
            // if there was at least one known value all of the component would be known
            vector<double> vec;
            for(int u : comp) {
                vec.PB(-leq[u].a*leq[u].b);
            }
            sort(all(vec));
            x = vec[vec.size()/2];
        }
        for(int u : comp) {
            X[u] = leq[u].a*x+leq[u].b;
        }
    }
    cout << "YES\n";
    for(int i = 1; i <= n; i++) {
        cout << X[i] << " \n"[i == n];
    }
    return 0;
}

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:72:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |         for(int j = 1; j < adj[i].size(); j++) {
      |                        ~~^~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 2 ms 2644 KB answer = YES
4 Correct 2 ms 2656 KB answer = NO
5 Correct 2 ms 2656 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 2 ms 2644 KB answer = YES
9 Correct 2 ms 2664 KB answer = NO
10 Correct 2 ms 2644 KB answer = YES
11 Correct 2 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 2 ms 2656 KB answer = YES
14 Correct 1 ms 2660 KB answer = YES
15 Correct 2 ms 2644 KB answer = YES
16 Correct 2 ms 2644 KB answer = YES
17 Correct 2 ms 2656 KB answer = YES
18 Correct 2 ms 2660 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 2 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 2 ms 2644 KB answer = YES
4 Correct 2 ms 2656 KB answer = NO
5 Correct 2 ms 2656 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 2 ms 2644 KB answer = YES
9 Correct 2 ms 2664 KB answer = NO
10 Correct 2 ms 2644 KB answer = YES
11 Correct 2 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 2 ms 2656 KB answer = YES
14 Correct 1 ms 2660 KB answer = YES
15 Correct 2 ms 2644 KB answer = YES
16 Correct 2 ms 2644 KB answer = YES
17 Correct 2 ms 2656 KB answer = YES
18 Correct 2 ms 2660 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 2 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2676 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 2 ms 2644 KB answer = YES
29 Correct 2 ms 2660 KB answer = YES
30 Correct 2 ms 2644 KB answer = NO
31 Correct 2 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 2 ms 2644 KB answer = YES
35 Correct 2 ms 2644 KB answer = YES
36 Correct 2 ms 2644 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 2 ms 2644 KB answer = YES
4 Correct 2 ms 2656 KB answer = NO
5 Correct 2 ms 2656 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 2 ms 2644 KB answer = YES
9 Correct 2 ms 2664 KB answer = NO
10 Correct 2 ms 2644 KB answer = YES
11 Correct 2 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 2 ms 2656 KB answer = YES
14 Correct 1 ms 2660 KB answer = YES
15 Correct 2 ms 2644 KB answer = YES
16 Correct 2 ms 2644 KB answer = YES
17 Correct 2 ms 2656 KB answer = YES
18 Correct 2 ms 2660 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 2 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2676 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 2 ms 2644 KB answer = YES
29 Correct 2 ms 2660 KB answer = YES
30 Correct 2 ms 2644 KB answer = NO
31 Correct 2 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 2 ms 2644 KB answer = YES
35 Correct 2 ms 2644 KB answer = YES
36 Correct 2 ms 2644 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2660 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2644 KB answer = YES
41 Correct 3 ms 2644 KB answer = NO
42 Correct 2 ms 2668 KB answer = YES
43 Correct 3 ms 2644 KB answer = YES
44 Correct 3 ms 2644 KB answer = YES
45 Correct 4 ms 2668 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 3 ms 2644 KB answer = YES
48 Correct 2 ms 2644 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 2 ms 2644 KB answer = YES
4 Correct 2 ms 2656 KB answer = NO
5 Correct 2 ms 2656 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 2 ms 2644 KB answer = YES
9 Correct 2 ms 2664 KB answer = NO
10 Correct 2 ms 2644 KB answer = YES
11 Correct 2 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 2 ms 2656 KB answer = YES
14 Correct 1 ms 2660 KB answer = YES
15 Correct 2 ms 2644 KB answer = YES
16 Correct 2 ms 2644 KB answer = YES
17 Correct 2 ms 2656 KB answer = YES
18 Correct 2 ms 2660 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 2 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2676 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 2 ms 2644 KB answer = YES
29 Correct 2 ms 2660 KB answer = YES
30 Correct 2 ms 2644 KB answer = NO
31 Correct 2 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 2 ms 2644 KB answer = YES
35 Correct 2 ms 2644 KB answer = YES
36 Correct 2 ms 2644 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2660 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2644 KB answer = YES
41 Correct 3 ms 2644 KB answer = NO
42 Correct 2 ms 2668 KB answer = YES
43 Correct 3 ms 2644 KB answer = YES
44 Correct 3 ms 2644 KB answer = YES
45 Correct 4 ms 2668 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 3 ms 2644 KB answer = YES
48 Correct 2 ms 2644 KB answer = YES
49 Correct 13 ms 3600 KB answer = YES
50 Correct 17 ms 3824 KB answer = YES
51 Correct 14 ms 3936 KB answer = YES
52 Correct 11 ms 3696 KB answer = NO
53 Correct 4 ms 2644 KB answer = YES
54 Correct 4 ms 2848 KB answer = YES
55 Correct 8 ms 3156 KB answer = YES
56 Correct 14 ms 3568 KB answer = YES
57 Correct 14 ms 3540 KB answer = YES
58 Correct 13 ms 3436 KB answer = YES
59 Correct 14 ms 3412 KB answer = YES
60 Correct 14 ms 3436 KB answer = YES
61 Correct 10 ms 3100 KB answer = YES
62 Correct 128 ms 9504 KB answer = NO
63 Correct 163 ms 10340 KB answer = YES
64 Correct 145 ms 10308 KB answer = NO
65 Correct 151 ms 10316 KB answer = YES
66 Correct 4 ms 2772 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 2 ms 2644 KB answer = YES
4 Correct 2 ms 2656 KB answer = NO
5 Correct 2 ms 2656 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 2 ms 2644 KB answer = YES
9 Correct 2 ms 2664 KB answer = NO
10 Correct 2 ms 2644 KB answer = YES
11 Correct 2 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 2 ms 2656 KB answer = YES
14 Correct 1 ms 2660 KB answer = YES
15 Correct 2 ms 2644 KB answer = YES
16 Correct 2 ms 2644 KB answer = YES
17 Correct 2 ms 2656 KB answer = YES
18 Correct 2 ms 2660 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 2 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2676 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 2 ms 2644 KB answer = YES
29 Correct 2 ms 2660 KB answer = YES
30 Correct 2 ms 2644 KB answer = NO
31 Correct 2 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 2 ms 2644 KB answer = YES
35 Correct 2 ms 2644 KB answer = YES
36 Correct 2 ms 2644 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2660 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2644 KB answer = YES
41 Correct 3 ms 2644 KB answer = NO
42 Correct 2 ms 2668 KB answer = YES
43 Correct 3 ms 2644 KB answer = YES
44 Correct 3 ms 2644 KB answer = YES
45 Correct 4 ms 2668 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 3 ms 2644 KB answer = YES
48 Correct 2 ms 2644 KB answer = YES
49 Correct 13 ms 3600 KB answer = YES
50 Correct 17 ms 3824 KB answer = YES
51 Correct 14 ms 3936 KB answer = YES
52 Correct 11 ms 3696 KB answer = NO
53 Correct 4 ms 2644 KB answer = YES
54 Correct 4 ms 2848 KB answer = YES
55 Correct 8 ms 3156 KB answer = YES
56 Correct 14 ms 3568 KB answer = YES
57 Correct 14 ms 3540 KB answer = YES
58 Correct 13 ms 3436 KB answer = YES
59 Correct 14 ms 3412 KB answer = YES
60 Correct 14 ms 3436 KB answer = YES
61 Correct 10 ms 3100 KB answer = YES
62 Correct 128 ms 9504 KB answer = NO
63 Correct 163 ms 10340 KB answer = YES
64 Correct 145 ms 10308 KB answer = NO
65 Correct 151 ms 10316 KB answer = YES
66 Correct 4 ms 2772 KB answer = YES
67 Correct 125 ms 16592 KB answer = YES
68 Correct 123 ms 16548 KB answer = YES
69 Correct 146 ms 16540 KB answer = YES
70 Correct 192 ms 20932 KB answer = YES
71 Correct 127 ms 16764 KB answer = YES
72 Correct 127 ms 10892 KB answer = YES
73 Correct 125 ms 10828 KB answer = YES
74 Correct 90 ms 10984 KB answer = YES
75 Correct 61 ms 10208 KB answer = NO
76 Correct 16 ms 3760 KB answer = YES
77 Correct 31 ms 4776 KB answer = YES
78 Correct 58 ms 6268 KB answer = YES
79 Correct 127 ms 9812 KB answer = YES
80 Correct 89 ms 10936 KB answer = YES
81 Correct 93 ms 15164 KB answer = NO
82 Correct 138 ms 13772 KB answer = YES
83 Correct 151 ms 16672 KB answer = YES
84 Correct 171 ms 16584 KB answer = YES
85 Correct 122 ms 16596 KB answer = YES
86 Correct 124 ms 16588 KB answer = YES
87 Correct 113 ms 11584 KB answer = NO
88 Correct 149 ms 12900 KB answer = YES
89 Correct 143 ms 9864 KB answer = YES
90 Correct 130 ms 9856 KB answer = YES
91 Correct 153 ms 9816 KB answer = YES
92 Correct 89 ms 6856 KB answer = YES
93 Correct 62 ms 6756 KB answer = YES
94 Correct 124 ms 15548 KB answer = NO
95 Correct 105 ms 9556 KB answer = NO
96 Correct 251 ms 18648 KB answer = YES
97 Correct 95 ms 15528 KB answer = NO