oj.uz

Submission #945465

# Submission time Handle Problem Language Result Execution time Memory
945465 2024-03-13T20:39:59 Z LucaIlie Graph (BOI20_graph) C++17
100 / 100
 202 ms 23496 KB 
#include <bits/stdc++.h>

using namespace std;

struct edge {
    int u, v, c;

    int other( int x ) {
        return u ^ v ^ x;
    }
};

const int MAX_N = 1e5;
const int MAX_M = 2e5;
bool vis[MAX_N + 1];
int a[MAX_N + 1], b[MAX_N + 1];
double val[MAX_N + 1];
edge edges[MAX_M];
vector<int> adj[MAX_N + 1];

bool sePoate;
bool fixedX;
double x;
vector<int> vert;
void dfs( int u ) {
    vert.push_back( u );
    vis[u] = true;
    for ( int e: adj[u] ) {
        int v = edges[e].other( u ), c = edges[e].c;

        if ( !vis[v] ) {
            a[v] = -a[u];
            b[v] = c - b[u];
            dfs( v );
        } else {
            if ( a[u] + a[v] == 0 ) {
                if ( b[u] + b[v] != c )
                    sePoate = false;
            } else {
                double xx = ((double)c - b[u] - b[v]) / (a[u] + a[v]);
                if ( fixedX && x != xx )
                    sePoate = false;
                else {
                    fixedX = true;
                    x = xx;
                }
            }
        }
    }
}

int main() {
    int n, m;

    cin >> n >> m;
    for ( int i = 0; i < m; i++ ) {
        cin >> edges[i].u >> edges[i].v >> edges[i].c;
        adj[edges[i].u].push_back( i );
        adj[edges[i].v].push_back( i );
    }

    for ( int v = 1; v <= n; v++ ) {
        if ( vis[v] )
            continue;

        a[v] = 1;
        b[v] = 0;
        sePoate = true;
        fixedX = false;
        vert.clear();
        dfs( v );

        if ( !sePoate ) {
            cout << "NO\n";
            return 0;
        }

        //for ( int u: vert )
           //cout << u << " " << a[u] << " " << b[u] << "\n";

        if ( !fixedX ) {
            map<int, vector<int>> events;
            int sa = 0, sb = 0;
            for ( int u: vert ) {
                sa--;
                if ( a[u] == 1 )
                    sb -= b[u];
                else
                    sb += b[u];
                events[(-b[u] / a[u])].push_back( u );
                //cout << (-b[u] / a[u]) << "\n";
            }

            int minS = 1e9;
            for ( auto p: events ) {
                for ( int u: p.second ) {
                    if ( a[u] == 1 ) {
                        sa += 2;
                        sb += b[u] * 2;
                    } else {
                        sa += 2;
                        sb -= b[u] * 2;
                    }
                }
                int xx = (sa >= 0 ? p.first : events.upper_bound( p.first )->first);
                if ( sa * xx + sb < minS ) {
                    minS = sa * xx + sb;
                    x = xx;
                }
                //cout << xx  << " " << sa << " " << sb << " " << sa * xx + sb << "\n";
            }
        }

        for ( int u: vert )
            val[u] = x * a[u] + b[u];
    }

    cout << "YES\n";
    for ( int v = 1; v <= n; v++ )
        cout << val[v] << " ";

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4700 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 2 ms 4696 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 2 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 2 ms 4700 KB answer = YES
9 Correct 2 ms 4696 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 1 ms 4700 KB answer = YES
14 Correct 2 ms 4696 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 2 ms 4700 KB answer = YES
17 Correct 1 ms 4696 KB answer = YES
18 Correct 1 ms 4696 KB answer = YES
19 Correct 2 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 4696 KB answer = NO
23 Correct 1 ms 4696 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4700 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 2 ms 4696 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 2 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 2 ms 4700 KB answer = YES
9 Correct 2 ms 4696 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 1 ms 4700 KB answer = YES
14 Correct 2 ms 4696 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 2 ms 4700 KB answer = YES
17 Correct 1 ms 4696 KB answer = YES
18 Correct 1 ms 4696 KB answer = YES
19 Correct 2 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 4696 KB answer = NO
23 Correct 1 ms 4696 KB answer = NO
24 Correct 2 ms 4696 KB answer = YES
25 Correct 2 ms 4952 KB answer = YES
26 Correct 1 ms 4696 KB answer = YES
27 Correct 1 ms 4696 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 2 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 4700 KB answer = YES
32 Correct 2 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 2 ms 4700 KB answer = YES
35 Correct 2 ms 4700 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4700 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 2 ms 4696 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 2 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 2 ms 4700 KB answer = YES
9 Correct 2 ms 4696 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 1 ms 4700 KB answer = YES
14 Correct 2 ms 4696 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 2 ms 4700 KB answer = YES
17 Correct 1 ms 4696 KB answer = YES
18 Correct 1 ms 4696 KB answer = YES
19 Correct 2 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 4696 KB answer = NO
23 Correct 1 ms 4696 KB answer = NO
24 Correct 2 ms 4696 KB answer = YES
25 Correct 2 ms 4952 KB answer = YES
26 Correct 1 ms 4696 KB answer = YES
27 Correct 1 ms 4696 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 2 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 4700 KB answer = YES
32 Correct 2 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 2 ms 4700 KB answer = YES
35 Correct 2 ms 4700 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 4700 KB answer = YES
39 Correct 2 ms 4700 KB answer = YES
40 Correct 2 ms 4696 KB answer = YES
41 Correct 2 ms 4700 KB answer = NO
42 Correct 3 ms 4700 KB answer = YES
43 Correct 2 ms 4700 KB answer = YES
44 Correct 2 ms 4700 KB answer = YES
45 Correct 2 ms 4700 KB answer = YES
46 Correct 1 ms 4700 KB answer = YES
47 Correct 2 ms 4700 KB answer = YES
48 Correct 2 ms 4856 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4700 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 2 ms 4696 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 2 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 2 ms 4700 KB answer = YES
9 Correct 2 ms 4696 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 1 ms 4700 KB answer = YES
14 Correct 2 ms 4696 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 2 ms 4700 KB answer = YES
17 Correct 1 ms 4696 KB answer = YES
18 Correct 1 ms 4696 KB answer = YES
19 Correct 2 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 4696 KB answer = NO
23 Correct 1 ms 4696 KB answer = NO
24 Correct 2 ms 4696 KB answer = YES
25 Correct 2 ms 4952 KB answer = YES
26 Correct 1 ms 4696 KB answer = YES
27 Correct 1 ms 4696 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 2 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 4700 KB answer = YES
32 Correct 2 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 2 ms 4700 KB answer = YES
35 Correct 2 ms 4700 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 4700 KB answer = YES
39 Correct 2 ms 4700 KB answer = YES
40 Correct 2 ms 4696 KB answer = YES
41 Correct 2 ms 4700 KB answer = NO
42 Correct 3 ms 4700 KB answer = YES
43 Correct 2 ms 4700 KB answer = YES
44 Correct 2 ms 4700 KB answer = YES
45 Correct 2 ms 4700 KB answer = YES
46 Correct 1 ms 4700 KB answer = YES
47 Correct 2 ms 4700 KB answer = YES
48 Correct 2 ms 4856 KB answer = YES
49 Correct 10 ms 5468 KB answer = YES
50 Correct 11 ms 5724 KB answer = YES
51 Correct 11 ms 5924 KB answer = YES
52 Correct 7 ms 5724 KB answer = NO
53 Correct 3 ms 4700 KB answer = YES
54 Correct 3 ms 4700 KB answer = YES
55 Correct 6 ms 4956 KB answer = YES
56 Correct 10 ms 5468 KB answer = YES
57 Correct 10 ms 5212 KB answer = YES
58 Correct 12 ms 5212 KB answer = YES
59 Correct 10 ms 5212 KB answer = YES
60 Correct 10 ms 5212 KB answer = YES
61 Correct 6 ms 4956 KB answer = YES
62 Correct 104 ms 11860 KB answer = NO
63 Correct 107 ms 12084 KB answer = YES
64 Correct 112 ms 12192 KB answer = NO
65 Correct 113 ms 12116 KB answer = YES
66 Correct 3 ms 4696 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4700 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 2 ms 4696 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 2 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 2 ms 4700 KB answer = YES
9 Correct 2 ms 4696 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 1 ms 4700 KB answer = YES
14 Correct 2 ms 4696 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 2 ms 4700 KB answer = YES
17 Correct 1 ms 4696 KB answer = YES
18 Correct 1 ms 4696 KB answer = YES
19 Correct 2 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 4696 KB answer = NO
23 Correct 1 ms 4696 KB answer = NO
24 Correct 2 ms 4696 KB answer = YES
25 Correct 2 ms 4952 KB answer = YES
26 Correct 1 ms 4696 KB answer = YES
27 Correct 1 ms 4696 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 2 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 4700 KB answer = YES
32 Correct 2 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 2 ms 4700 KB answer = YES
35 Correct 2 ms 4700 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 4700 KB answer = YES
39 Correct 2 ms 4700 KB answer = YES
40 Correct 2 ms 4696 KB answer = YES
41 Correct 2 ms 4700 KB answer = NO
42 Correct 3 ms 4700 KB answer = YES
43 Correct 2 ms 4700 KB answer = YES
44 Correct 2 ms 4700 KB answer = YES
45 Correct 2 ms 4700 KB answer = YES
46 Correct 1 ms 4700 KB answer = YES
47 Correct 2 ms 4700 KB answer = YES
48 Correct 2 ms 4856 KB answer = YES
49 Correct 10 ms 5468 KB answer = YES
50 Correct 11 ms 5724 KB answer = YES
51 Correct 11 ms 5924 KB answer = YES
52 Correct 7 ms 5724 KB answer = NO
53 Correct 3 ms 4700 KB answer = YES
54 Correct 3 ms 4700 KB answer = YES
55 Correct 6 ms 4956 KB answer = YES
56 Correct 10 ms 5468 KB answer = YES
57 Correct 10 ms 5212 KB answer = YES
58 Correct 12 ms 5212 KB answer = YES
59 Correct 10 ms 5212 KB answer = YES
60 Correct 10 ms 5212 KB answer = YES
61 Correct 6 ms 4956 KB answer = YES
62 Correct 104 ms 11860 KB answer = NO
63 Correct 107 ms 12084 KB answer = YES
64 Correct 112 ms 12192 KB answer = NO
65 Correct 113 ms 12116 KB answer = YES
66 Correct 3 ms 4696 KB answer = YES
67 Correct 102 ms 19656 KB answer = YES
68 Correct 107 ms 19352 KB answer = YES
69 Correct 99 ms 19152 KB answer = YES
70 Correct 158 ms 23496 KB answer = YES
71 Correct 101 ms 19412 KB answer = YES
72 Correct 103 ms 11768 KB answer = YES
73 Correct 101 ms 11476 KB answer = YES
74 Correct 80 ms 13124 KB answer = YES
75 Correct 44 ms 12504 KB answer = NO
76 Correct 12 ms 5464 KB answer = YES
77 Correct 25 ms 6464 KB answer = YES
78 Correct 43 ms 7728 KB answer = YES
79 Correct 86 ms 10568 KB answer = YES
80 Correct 71 ms 13572 KB answer = YES
81 Correct 67 ms 14544 KB answer = NO
82 Correct 104 ms 18888 KB answer = YES
83 Correct 114 ms 19408 KB answer = YES
84 Correct 115 ms 20176 KB answer = YES
85 Correct 120 ms 19580 KB answer = YES
86 Correct 100 ms 19316 KB answer = YES
87 Correct 66 ms 13264 KB answer = NO
88 Correct 111 ms 14684 KB answer = YES
89 Correct 108 ms 11344 KB answer = YES
90 Correct 96 ms 11092 KB answer = YES
91 Correct 100 ms 11148 KB answer = YES
92 Correct 63 ms 8344 KB answer = YES
93 Correct 55 ms 8144 KB answer = YES
94 Correct 76 ms 18388 KB answer = NO
95 Correct 61 ms 10832 KB answer = NO
96 Correct 202 ms 19160 KB answer = YES
97 Correct 67 ms 18388 KB answer = NO