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Submission #1100525

# Submission time Handle Problem Language Result Execution time Memory
1100525 2024-10-14T08:09:17 Z Seyyed_Mojtaba_Mortazavi Graph (BOI20_graph) C++17
100 / 100
 181 ms 21444 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long int ll;
typedef pair <int, int> pii;

const int INF = 1e9;
const int MAXN = 2e5 + 10;

bool d1[MAXN];
int d2[MAXN];
int cost[MAXN];
bool mark1[MAXN];
bool mark2[MAXN];
vector <pii> e[MAXN];
vector <int> vec;

void dfs1(int v, int val)
{
    mark1[v] = true;
    cost[v] = val;
    for (auto [u, w] : e[v])
    {
        if (mark1[u])
        {
            if (cost[v] + cost[u] != 2 * w)
            {
                cout << "NO" << endl;
                exit(0);
            }
        }
        else
        {
            dfs1(u, 2 * w - val);
        }
    }
}

int dfs2(int v)
{
    mark2[v] = true;
    vec.push_back((d1[v] ? d2[v] : -d2[v]));
    for (auto [u, w] : e[v])
    {
            if (!mark2[u])
            {
                d1[u] = !d1[v];
                d2[u] = 2 * w - d2[v];
                int x = dfs2(u);
                if (x < INF)
                    return x;
            }
            else
            {
                if (d1[v] ^ d1[u])
                {
                    if (2 * w - d2[v] != d2[u])
                    {
                        cout << "NO" << endl;
                        exit(0);
                    }
                }
                else
                {
                    return (w - (d2[v] + d2[u]) / 2) * (d1[v] ? -1 : 1);
                }
            }
    }
    return INF;
}

int main()
{
    int n, m;
    cin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int v, u, w;
        cin >> v >> u >> w;
        e[v].push_back({u, w});
        e[u].push_back({v, w});
    }
    for (int i = 1; i <= n; i++)
    {
        if (mark1[i])
            continue;
        int x = dfs2(i);
        if (x == INF)
        {
            sort(vec.begin(), vec.end());
            x = vec[(vec.size() / 2)];
        }
        dfs1(i, x);
        vec.clear();
    }
    cout << "YES" << endl;
    for (int i = 1; i <= n; i++)
        cout << (float) (cost[i] / (float) 2) << " ";
    cout << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6736 KB answer = YES
2 Correct 1 ms 6756 KB answer = YES
3 Correct 2 ms 6736 KB answer = YES
4 Correct 2 ms 6736 KB answer = NO
5 Correct 2 ms 6736 KB answer = YES
6 Correct 2 ms 6736 KB answer = YES
7 Correct 2 ms 6736 KB answer = YES
8 Correct 2 ms 6736 KB answer = YES
9 Correct 2 ms 6736 KB answer = NO
10 Correct 2 ms 6736 KB answer = YES
11 Correct 2 ms 6908 KB answer = YES
12 Correct 2 ms 6736 KB answer = NO
13 Correct 3 ms 6736 KB answer = YES
14 Correct 2 ms 6736 KB answer = YES
15 Correct 2 ms 6736 KB answer = YES
16 Correct 2 ms 6736 KB answer = YES
17 Correct 2 ms 6736 KB answer = YES
18 Correct 2 ms 6736 KB answer = YES
19 Correct 2 ms 6736 KB answer = YES
20 Correct 2 ms 6736 KB answer = YES
21 Correct 2 ms 6736 KB answer = YES
22 Correct 2 ms 6736 KB answer = NO
23 Correct 2 ms 6736 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6736 KB answer = YES
2 Correct 1 ms 6756 KB answer = YES
3 Correct 2 ms 6736 KB answer = YES
4 Correct 2 ms 6736 KB answer = NO
5 Correct 2 ms 6736 KB answer = YES
6 Correct 2 ms 6736 KB answer = YES
7 Correct 2 ms 6736 KB answer = YES
8 Correct 2 ms 6736 KB answer = YES
9 Correct 2 ms 6736 KB answer = NO
10 Correct 2 ms 6736 KB answer = YES
11 Correct 2 ms 6908 KB answer = YES
12 Correct 2 ms 6736 KB answer = NO
13 Correct 3 ms 6736 KB answer = YES
14 Correct 2 ms 6736 KB answer = YES
15 Correct 2 ms 6736 KB answer = YES
16 Correct 2 ms 6736 KB answer = YES
17 Correct 2 ms 6736 KB answer = YES
18 Correct 2 ms 6736 KB answer = YES
19 Correct 2 ms 6736 KB answer = YES
20 Correct 2 ms 6736 KB answer = YES
21 Correct 2 ms 6736 KB answer = YES
22 Correct 2 ms 6736 KB answer = NO
23 Correct 2 ms 6736 KB answer = NO
24 Correct 2 ms 6904 KB answer = YES
25 Correct 2 ms 6736 KB answer = YES
26 Correct 2 ms 6736 KB answer = YES
27 Correct 2 ms 6736 KB answer = YES
28 Correct 2 ms 6736 KB answer = YES
29 Correct 2 ms 6736 KB answer = YES
30 Correct 2 ms 6736 KB answer = NO
31 Correct 2 ms 6736 KB answer = YES
32 Correct 2 ms 6736 KB answer = YES
33 Correct 2 ms 6736 KB answer = YES
34 Correct 2 ms 6736 KB answer = YES
35 Correct 2 ms 6736 KB answer = YES
36 Correct 2 ms 6736 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6736 KB answer = YES
2 Correct 1 ms 6756 KB answer = YES
3 Correct 2 ms 6736 KB answer = YES
4 Correct 2 ms 6736 KB answer = NO
5 Correct 2 ms 6736 KB answer = YES
6 Correct 2 ms 6736 KB answer = YES
7 Correct 2 ms 6736 KB answer = YES
8 Correct 2 ms 6736 KB answer = YES
9 Correct 2 ms 6736 KB answer = NO
10 Correct 2 ms 6736 KB answer = YES
11 Correct 2 ms 6908 KB answer = YES
12 Correct 2 ms 6736 KB answer = NO
13 Correct 3 ms 6736 KB answer = YES
14 Correct 2 ms 6736 KB answer = YES
15 Correct 2 ms 6736 KB answer = YES
16 Correct 2 ms 6736 KB answer = YES
17 Correct 2 ms 6736 KB answer = YES
18 Correct 2 ms 6736 KB answer = YES
19 Correct 2 ms 6736 KB answer = YES
20 Correct 2 ms 6736 KB answer = YES
21 Correct 2 ms 6736 KB answer = YES
22 Correct 2 ms 6736 KB answer = NO
23 Correct 2 ms 6736 KB answer = NO
24 Correct 2 ms 6904 KB answer = YES
25 Correct 2 ms 6736 KB answer = YES
26 Correct 2 ms 6736 KB answer = YES
27 Correct 2 ms 6736 KB answer = YES
28 Correct 2 ms 6736 KB answer = YES
29 Correct 2 ms 6736 KB answer = YES
30 Correct 2 ms 6736 KB answer = NO
31 Correct 2 ms 6736 KB answer = YES
32 Correct 2 ms 6736 KB answer = YES
33 Correct 2 ms 6736 KB answer = YES
34 Correct 2 ms 6736 KB answer = YES
35 Correct 2 ms 6736 KB answer = YES
36 Correct 2 ms 6736 KB answer = YES
37 Correct 2 ms 6736 KB answer = YES
38 Correct 2 ms 6736 KB answer = YES
39 Correct 2 ms 6908 KB answer = YES
40 Correct 2 ms 6736 KB answer = YES
41 Correct 3 ms 6736 KB answer = NO
42 Correct 2 ms 6736 KB answer = YES
43 Correct 2 ms 6736 KB answer = YES
44 Correct 2 ms 6736 KB answer = YES
45 Correct 3 ms 6736 KB answer = YES
46 Correct 2 ms 6736 KB answer = YES
47 Correct 3 ms 6736 KB answer = YES
48 Correct 3 ms 6776 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6736 KB answer = YES
2 Correct 1 ms 6756 KB answer = YES
3 Correct 2 ms 6736 KB answer = YES
4 Correct 2 ms 6736 KB answer = NO
5 Correct 2 ms 6736 KB answer = YES
6 Correct 2 ms 6736 KB answer = YES
7 Correct 2 ms 6736 KB answer = YES
8 Correct 2 ms 6736 KB answer = YES
9 Correct 2 ms 6736 KB answer = NO
10 Correct 2 ms 6736 KB answer = YES
11 Correct 2 ms 6908 KB answer = YES
12 Correct 2 ms 6736 KB answer = NO
13 Correct 3 ms 6736 KB answer = YES
14 Correct 2 ms 6736 KB answer = YES
15 Correct 2 ms 6736 KB answer = YES
16 Correct 2 ms 6736 KB answer = YES
17 Correct 2 ms 6736 KB answer = YES
18 Correct 2 ms 6736 KB answer = YES
19 Correct 2 ms 6736 KB answer = YES
20 Correct 2 ms 6736 KB answer = YES
21 Correct 2 ms 6736 KB answer = YES
22 Correct 2 ms 6736 KB answer = NO
23 Correct 2 ms 6736 KB answer = NO
24 Correct 2 ms 6904 KB answer = YES
25 Correct 2 ms 6736 KB answer = YES
26 Correct 2 ms 6736 KB answer = YES
27 Correct 2 ms 6736 KB answer = YES
28 Correct 2 ms 6736 KB answer = YES
29 Correct 2 ms 6736 KB answer = YES
30 Correct 2 ms 6736 KB answer = NO
31 Correct 2 ms 6736 KB answer = YES
32 Correct 2 ms 6736 KB answer = YES
33 Correct 2 ms 6736 KB answer = YES
34 Correct 2 ms 6736 KB answer = YES
35 Correct 2 ms 6736 KB answer = YES
36 Correct 2 ms 6736 KB answer = YES
37 Correct 2 ms 6736 KB answer = YES
38 Correct 2 ms 6736 KB answer = YES
39 Correct 2 ms 6908 KB answer = YES
40 Correct 2 ms 6736 KB answer = YES
41 Correct 3 ms 6736 KB answer = NO
42 Correct 2 ms 6736 KB answer = YES
43 Correct 2 ms 6736 KB answer = YES
44 Correct 2 ms 6736 KB answer = YES
45 Correct 3 ms 6736 KB answer = YES
46 Correct 2 ms 6736 KB answer = YES
47 Correct 3 ms 6736 KB answer = YES
48 Correct 3 ms 6776 KB answer = YES
49 Correct 14 ms 7248 KB answer = YES
50 Correct 17 ms 7504 KB answer = YES
51 Correct 11 ms 7504 KB answer = YES
52 Correct 7 ms 6992 KB answer = NO
53 Correct 3 ms 6904 KB answer = YES
54 Correct 4 ms 6736 KB answer = YES
55 Correct 5 ms 6884 KB answer = YES
56 Correct 9 ms 7272 KB answer = YES
57 Correct 9 ms 7140 KB answer = YES
58 Correct 8 ms 6992 KB answer = YES
59 Correct 8 ms 6992 KB answer = YES
60 Correct 9 ms 7248 KB answer = YES
61 Correct 5 ms 7164 KB answer = YES
62 Correct 82 ms 11348 KB answer = NO
63 Correct 85 ms 11848 KB answer = YES
64 Correct 100 ms 11848 KB answer = NO
65 Correct 88 ms 11848 KB answer = YES
66 Correct 3 ms 6904 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6736 KB answer = YES
2 Correct 1 ms 6756 KB answer = YES
3 Correct 2 ms 6736 KB answer = YES
4 Correct 2 ms 6736 KB answer = NO
5 Correct 2 ms 6736 KB answer = YES
6 Correct 2 ms 6736 KB answer = YES
7 Correct 2 ms 6736 KB answer = YES
8 Correct 2 ms 6736 KB answer = YES
9 Correct 2 ms 6736 KB answer = NO
10 Correct 2 ms 6736 KB answer = YES
11 Correct 2 ms 6908 KB answer = YES
12 Correct 2 ms 6736 KB answer = NO
13 Correct 3 ms 6736 KB answer = YES
14 Correct 2 ms 6736 KB answer = YES
15 Correct 2 ms 6736 KB answer = YES
16 Correct 2 ms 6736 KB answer = YES
17 Correct 2 ms 6736 KB answer = YES
18 Correct 2 ms 6736 KB answer = YES
19 Correct 2 ms 6736 KB answer = YES
20 Correct 2 ms 6736 KB answer = YES
21 Correct 2 ms 6736 KB answer = YES
22 Correct 2 ms 6736 KB answer = NO
23 Correct 2 ms 6736 KB answer = NO
24 Correct 2 ms 6904 KB answer = YES
25 Correct 2 ms 6736 KB answer = YES
26 Correct 2 ms 6736 KB answer = YES
27 Correct 2 ms 6736 KB answer = YES
28 Correct 2 ms 6736 KB answer = YES
29 Correct 2 ms 6736 KB answer = YES
30 Correct 2 ms 6736 KB answer = NO
31 Correct 2 ms 6736 KB answer = YES
32 Correct 2 ms 6736 KB answer = YES
33 Correct 2 ms 6736 KB answer = YES
34 Correct 2 ms 6736 KB answer = YES
35 Correct 2 ms 6736 KB answer = YES
36 Correct 2 ms 6736 KB answer = YES
37 Correct 2 ms 6736 KB answer = YES
38 Correct 2 ms 6736 KB answer = YES
39 Correct 2 ms 6908 KB answer = YES
40 Correct 2 ms 6736 KB answer = YES
41 Correct 3 ms 6736 KB answer = NO
42 Correct 2 ms 6736 KB answer = YES
43 Correct 2 ms 6736 KB answer = YES
44 Correct 2 ms 6736 KB answer = YES
45 Correct 3 ms 6736 KB answer = YES
46 Correct 2 ms 6736 KB answer = YES
47 Correct 3 ms 6736 KB answer = YES
48 Correct 3 ms 6776 KB answer = YES
49 Correct 14 ms 7248 KB answer = YES
50 Correct 17 ms 7504 KB answer = YES
51 Correct 11 ms 7504 KB answer = YES
52 Correct 7 ms 6992 KB answer = NO
53 Correct 3 ms 6904 KB answer = YES
54 Correct 4 ms 6736 KB answer = YES
55 Correct 5 ms 6884 KB answer = YES
56 Correct 9 ms 7272 KB answer = YES
57 Correct 9 ms 7140 KB answer = YES
58 Correct 8 ms 6992 KB answer = YES
59 Correct 8 ms 6992 KB answer = YES
60 Correct 9 ms 7248 KB answer = YES
61 Correct 5 ms 7164 KB answer = YES
62 Correct 82 ms 11348 KB answer = NO
63 Correct 85 ms 11848 KB answer = YES
64 Correct 100 ms 11848 KB answer = NO
65 Correct 88 ms 11848 KB answer = YES
66 Correct 3 ms 6904 KB answer = YES
67 Correct 90 ms 18632 KB answer = YES
68 Correct 113 ms 18376 KB answer = YES
69 Correct 79 ms 18380 KB answer = YES
70 Correct 131 ms 21444 KB answer = YES
71 Correct 91 ms 18632 KB answer = YES
72 Correct 99 ms 11204 KB answer = YES
73 Correct 78 ms 10904 KB answer = YES
74 Correct 58 ms 12364 KB answer = YES
75 Correct 36 ms 11088 KB answer = NO
76 Correct 11 ms 7248 KB answer = YES
77 Correct 23 ms 7760 KB answer = YES
78 Correct 39 ms 8784 KB answer = YES
79 Correct 79 ms 10696 KB answer = YES
80 Correct 60 ms 13292 KB answer = YES
81 Correct 62 ms 13368 KB answer = NO
82 Correct 91 ms 16332 KB answer = YES
83 Correct 131 ms 18632 KB answer = YES
84 Correct 98 ms 18512 KB answer = YES
85 Correct 90 ms 18632 KB answer = YES
86 Correct 125 ms 18516 KB answer = YES
87 Correct 81 ms 12360 KB answer = NO
88 Correct 100 ms 14040 KB answer = YES
89 Correct 80 ms 10056 KB answer = YES
90 Correct 88 ms 10056 KB answer = YES
91 Correct 102 ms 10056 KB answer = YES
92 Correct 42 ms 9032 KB answer = YES
93 Correct 42 ms 8800 KB answer = YES
94 Correct 66 ms 18228 KB answer = NO
95 Correct 56 ms 9800 KB answer = NO
96 Correct 181 ms 17224 KB answer = YES
97 Correct 60 ms 18104 KB answer = NO