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Submission #1092823

# Submission time Handle Problem Language Result Execution time Memory
1092823 2024-09-25T08:08:11 Z andrei_iorgulescu Graph (BOI20_graph) C++14
100 / 100
 100 ms 25028 KB 
#include <bits/stdc++.h>

using namespace std;

using ld = long double;

int inf = 1e9 + 123;

int n, m;
vector<pair<int,int>> g[100005];
vector<vector<int>> cc;
vector<int> cur_cc;
vector<ld> vls;
bool viz[100005];

ld coef[100005], ofs[100005];
ld ans[100005];

bool possible = true;
ld trb_x = inf;

void dfs(int nod)
{
    viz[nod] = true;
    cur_cc.push_back(nod);
    for (auto vecin : g[nod])
    {
        if (!viz[vecin.first])
        {
            coef[vecin.first] = -coef[nod];
            ofs[vecin.first] = vecin.second - ofs[nod];
            dfs(vecin.first);
        }
        else
        {
            ld ncf = -coef[nod];
            ld nofs = vecin.second - ofs[nod];
            if (ncf == coef[vecin.first] and nofs != ofs[vecin.first])
                possible = false;
            else if (ncf != coef[vecin.first])
            {
                //cout << nod << ' ' << vecin.first << ' ' << ncf << ' ' << nofs << ' ' << coef[vecin.first] << ' ' << ofs[vecin.first] << endl;
                ld ex_x = trb_x;
                if (ncf == -1)
                    trb_x = (ld)(nofs - ofs[vecin.first]) / 2.0d;
                else
                    trb_x = (ld)(ofs[vecin.first] - nofs) / 2.0d;
                //cout << ex_x << ' ' << trb_x << endl;
                if (ex_x != trb_x and ex_x != inf)
                    possible = false;
            }
        }
    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int x, y, z;
        cin >> x >> y >> z;
        g[x].push_back({y, z});
        g[y].push_back({x, z});
    }
    for (int i = 1; i <= n; i++)
    {
        if (!viz[i])
        {
            trb_x = inf;
            cur_cc.clear();
            coef[i] = 1, ofs[i] = 0;
            dfs(i);
            cc.push_back(cur_cc);
            vls.push_back(trb_x);
        }
    }
    if (!possible)
    {
        cout << "NO";
        return 0;
    }
    for (int i = 0; i < cc.size(); i++)
    {
        if (vls[i] != inf)
        {
            for (auto it : cc[i])
                ans[it] = coef[it] * vls[i] + ofs[it];
        }
        else
        {
            vector<ld> pct;
            for (auto it : cc[i])
                pct.push_back(-ofs[it] / coef[it]);
            sort(pct.begin(), pct.end());
            int pz = pct.size() / 2;
            vls[i] = pct[pz];
            for (auto it : cc[i])
                ans[it] = coef[it] * vls[i] + ofs[it];
        }
    }
    cout << "YES\n";
    cout << setprecision(10) << fixed;
    for (int i = 1; i <= n; i++)
        cout << ans[i] << ' ';
    return 0;
}

/*
3 3
1 2 1
2 3 2
1 3 2
*/

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:86:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |     for (int i = 0; i < cc.size(); i++)
      |                     ~~^~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 2 ms 2652 KB answer = YES
3 Correct 1 ms 2808 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2904 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2648 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2648 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2808 KB answer = YES
17 Correct 2 ms 2652 KB answer = YES
18 Correct 2 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 2 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 2 ms 2652 KB answer = YES
3 Correct 1 ms 2808 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2904 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2648 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2648 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2808 KB answer = YES
17 Correct 2 ms 2652 KB answer = YES
18 Correct 2 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 2 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 2 ms 2652 KB answer = YES
27 Correct 1 ms 2812 KB answer = YES
28 Correct 1 ms 2904 KB answer = YES
29 Correct 1 ms 2652 KB answer = YES
30 Correct 1 ms 2652 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2816 KB answer = YES
35 Correct 1 ms 2652 KB answer = YES
36 Correct 1 ms 2732 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 2 ms 2652 KB answer = YES
3 Correct 1 ms 2808 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2904 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2648 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2648 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2808 KB answer = YES
17 Correct 2 ms 2652 KB answer = YES
18 Correct 2 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 2 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 2 ms 2652 KB answer = YES
27 Correct 1 ms 2812 KB answer = YES
28 Correct 1 ms 2904 KB answer = YES
29 Correct 1 ms 2652 KB answer = YES
30 Correct 1 ms 2652 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2816 KB answer = YES
35 Correct 1 ms 2652 KB answer = YES
36 Correct 1 ms 2732 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2908 KB answer = YES
40 Correct 3 ms 2908 KB answer = YES
41 Correct 2 ms 2908 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2908 KB answer = YES
44 Correct 2 ms 2908 KB answer = YES
45 Correct 2 ms 2908 KB answer = YES
46 Correct 1 ms 2828 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 2 ms 2908 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 2 ms 2652 KB answer = YES
3 Correct 1 ms 2808 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2904 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2648 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2648 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2808 KB answer = YES
17 Correct 2 ms 2652 KB answer = YES
18 Correct 2 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 2 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 2 ms 2652 KB answer = YES
27 Correct 1 ms 2812 KB answer = YES
28 Correct 1 ms 2904 KB answer = YES
29 Correct 1 ms 2652 KB answer = YES
30 Correct 1 ms 2652 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2816 KB answer = YES
35 Correct 1 ms 2652 KB answer = YES
36 Correct 1 ms 2732 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2908 KB answer = YES
40 Correct 3 ms 2908 KB answer = YES
41 Correct 2 ms 2908 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2908 KB answer = YES
44 Correct 2 ms 2908 KB answer = YES
45 Correct 2 ms 2908 KB answer = YES
46 Correct 1 ms 2828 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 2 ms 2908 KB answer = YES
49 Correct 8 ms 4152 KB answer = YES
50 Correct 7 ms 4320 KB answer = YES
51 Correct 8 ms 4432 KB answer = YES
52 Correct 4 ms 3932 KB answer = NO
53 Correct 2 ms 2908 KB answer = YES
54 Correct 3 ms 3080 KB answer = YES
55 Correct 5 ms 3420 KB answer = YES
56 Correct 7 ms 4052 KB answer = YES
57 Correct 7 ms 3928 KB answer = YES
58 Correct 7 ms 3928 KB answer = YES
59 Correct 7 ms 3744 KB answer = YES
60 Correct 7 ms 4088 KB answer = YES
61 Correct 5 ms 3420 KB answer = YES
62 Correct 57 ms 10436 KB answer = NO
63 Correct 45 ms 10624 KB answer = YES
64 Correct 43 ms 10576 KB answer = NO
65 Correct 53 ms 10652 KB answer = YES
66 Correct 2 ms 2908 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 2 ms 2652 KB answer = YES
3 Correct 1 ms 2808 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2904 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2648 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2648 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2808 KB answer = YES
17 Correct 2 ms 2652 KB answer = YES
18 Correct 2 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 2 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 2 ms 2652 KB answer = YES
27 Correct 1 ms 2812 KB answer = YES
28 Correct 1 ms 2904 KB answer = YES
29 Correct 1 ms 2652 KB answer = YES
30 Correct 1 ms 2652 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2816 KB answer = YES
35 Correct 1 ms 2652 KB answer = YES
36 Correct 1 ms 2732 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2908 KB answer = YES
40 Correct 3 ms 2908 KB answer = YES
41 Correct 2 ms 2908 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2908 KB answer = YES
44 Correct 2 ms 2908 KB answer = YES
45 Correct 2 ms 2908 KB answer = YES
46 Correct 1 ms 2828 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 2 ms 2908 KB answer = YES
49 Correct 8 ms 4152 KB answer = YES
50 Correct 7 ms 4320 KB answer = YES
51 Correct 8 ms 4432 KB answer = YES
52 Correct 4 ms 3932 KB answer = NO
53 Correct 2 ms 2908 KB answer = YES
54 Correct 3 ms 3080 KB answer = YES
55 Correct 5 ms 3420 KB answer = YES
56 Correct 7 ms 4052 KB answer = YES
57 Correct 7 ms 3928 KB answer = YES
58 Correct 7 ms 3928 KB answer = YES
59 Correct 7 ms 3744 KB answer = YES
60 Correct 7 ms 4088 KB answer = YES
61 Correct 5 ms 3420 KB answer = YES
62 Correct 57 ms 10436 KB answer = NO
63 Correct 45 ms 10624 KB answer = YES
64 Correct 43 ms 10576 KB answer = NO
65 Correct 53 ms 10652 KB answer = YES
66 Correct 2 ms 2908 KB answer = YES
67 Correct 80 ms 20804 KB answer = YES
68 Correct 65 ms 20804 KB answer = YES
69 Correct 64 ms 20428 KB answer = YES
70 Correct 80 ms 25028 KB answer = YES
71 Correct 61 ms 20372 KB answer = YES
72 Correct 70 ms 15172 KB answer = YES
73 Correct 68 ms 14792 KB answer = YES
74 Correct 47 ms 13516 KB answer = YES
75 Correct 20 ms 11480 KB answer = NO
76 Correct 9 ms 4400 KB answer = YES
77 Correct 18 ms 5844 KB answer = YES
78 Correct 31 ms 8020 KB answer = YES
79 Correct 60 ms 13136 KB answer = YES
80 Correct 50 ms 13644 KB answer = YES
81 Correct 29 ms 14536 KB answer = NO
82 Correct 82 ms 19916 KB answer = YES
83 Correct 78 ms 20680 KB answer = YES
84 Correct 83 ms 20804 KB answer = YES
85 Correct 73 ms 20760 KB answer = YES
86 Correct 69 ms 20688 KB answer = YES
87 Correct 37 ms 13016 KB answer = NO
88 Correct 75 ms 16804 KB answer = YES
89 Correct 65 ms 14852 KB answer = YES
90 Correct 59 ms 14600 KB answer = YES
91 Correct 67 ms 14600 KB answer = YES
92 Correct 32 ms 8928 KB answer = YES
93 Correct 30 ms 8916 KB answer = YES
94 Correct 38 ms 17612 KB answer = NO
95 Correct 30 ms 11916 KB answer = NO
96 Correct 100 ms 22296 KB answer = YES
97 Correct 33 ms 17612 KB answer = NO