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Submission #914920

# Submission time Handle Problem Language Result Execution time Memory
914920 2024-01-22T22:56:17 Z asdasdqwer Graph (BOI20_graph) C++14
100 / 100
 353 ms 36604 KB 
#include <bits/stdc++.h>
using namespace std;

#define int int64_t
#define pii pair<int, int>
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define unas mp(1e9, 1e9)
#define undef 1e15

bool contradiction = false;

struct Node {
    int index;
    set<pii> neigh;
    pii exp = unas;
    double minVal = undef;
};

bool operator==(const pii &x1, const pii &x2) {
    return x1.f == x2.f && x1.s == x2.s;
}

bool operator!=(const pii &x1, const pii &x2) {
    return x1.f != x2.f || x1.s != x2.s;
}

pii operator+(const pii &x1, const pii &x2) {
    return mp(x1.f+x2.f, x1.s+x2.s);
}

int conv(const pii &x) {
    if (x.f <= 0) return x.s;
    else return -x.s;
}

void pPair(const pii &x) {
    cout << x.f << " " << x.s << "\n";
}

void assignExp(vector<Node> &g, int idx) {
    g[idx].exp = mp(1, 0);
    // bfs
    queue<int> q;
    q.push(idx);
    while (!q.empty()) {
        int t=q.front();q.pop();
        pii ex = g[t].exp;
        for (pii x : g[t].neigh) {
            if (g[x.f].exp != unas) continue;
            g[x.f].exp = mp(-ex.f, x.s - ex.s);
            q.push(x.f);
        }
    }

    double search = 1e15;
    q.push(idx);
    vector<bool> v((int)g.size(), false);
    v[idx]=true;
    while (!q.empty()) {
        int t=q.front();q.pop();
        pii ex = g[t].exp;
        for (pii x : g[t].neigh) {
            if ((ex + g[x.f].exp).first != 0) {
                // cout << t << " " << x.f << "\n";
                // pPair(ex);pPair(g[x.f].exp);
                pii res = ex + g[x.f].exp;
                double lft = (double)x.s;
                lft -= (double)res.s;
                search = lft / (double)res.f;

                while (!q.empty())q.pop();
                break;
            }

            else if (!v[x.f]) {
                v[x.f]=true;
                q.push(x.f);
            }
        }
    }

    if (search == 1e15) {
        q.push(idx);
        vector<bool> visited((int)g.size(), false);
        visited[idx]=true;
        vector<int> coeff;
        coeff.pb(conv(g[idx].exp));
        while (!q.empty()) {
            int t=q.front();q.pop();
            for (pii x : g[t].neigh) {
                if (!visited[x.f]) {
                    visited[x.f]=true;
                    coeff.pb(conv(g[x.f].exp));
                    q.push(x.f);
                }
            }
        }

        sort(coeff.begin(), coeff.end());
        search = (double)coeff[(int)coeff.size()/2];
    }

    q.push(idx);
    g[idx].minVal = search;
    while (!q.empty()) {
        int t=q.front();q.pop();
        for (pii x : g[t].neigh) {
            if (g[x.f].minVal == undef) {
                g[x.f].minVal = (double)(g[x.f].exp.f) * search + (double)g[x.f].exp.s;
                q.push(x.f);
            }
        }
    }

    q.push(idx);
    vector<bool> visited((int)g.size(), false);
    while (!q.empty()) {
        int t=q.front();q.pop();
        for (pii x : g[t].neigh) {
            if (g[t].minVal + g[x.f].minVal != (double)x.s) contradiction = true;
            // printf("case %ld %ld\n", t, x.f);
            // printf("value of first : %lf, value of second : %lf, value of edge : %ld\n\n", g[t].minVal, g[x.f].minVal, x.s);
            if (!visited[x.f]) {
                visited[x.f]=true;
                q.push(x.f);
            }
        }
    }
}

signed main() {
    ios::sync_with_stdio(false);cin.tie(0);
    int n, m;cin>>n>>m;
    vector<Node> g(n);

    for (int i=0;i<n;i++) {
        g[i].index = i;
    }

    for (int i=0;i<m;i++) {
        int start, end, code;
        cin >> start >> end >> code;

        start--;end--;
        if (g[start].neigh.find(mp(end, 3 - code)) != g[start].neigh.end()) {
            cout << "NO\n";
            return 0;
        }

        g[start].neigh.insert(mp(end, code));
        g[end].neigh.insert(mp(start, code));
    }

    for (int i=0;i<n;i++) {
        if (g[i].exp == unas) {
            assignExp(g, i);
            if (contradiction) {
                cout << "NO\n";
                return 0;
            }
        }
    }

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

    cout << "YES\n";
    cout << g[0].minVal;

    for (int i=1;i<n;i++) {
        cout << " " << g[i].minVal;
    }

    cout << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB answer = YES
2 Correct 0 ms 348 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 456 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 1 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 1 ms 348 KB answer = YES
12 Correct 0 ms 344 KB answer = NO
13 Correct 1 ms 348 KB answer = YES
14 Correct 0 ms 456 KB answer = YES
15 Correct 1 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 1 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 348 KB answer = NO
23 Correct 0 ms 348 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB answer = YES
2 Correct 0 ms 348 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 456 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 1 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 1 ms 348 KB answer = YES
12 Correct 0 ms 344 KB answer = NO
13 Correct 1 ms 348 KB answer = YES
14 Correct 0 ms 456 KB answer = YES
15 Correct 1 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 1 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 348 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 1 ms 600 KB answer = YES
25 Correct 1 ms 348 KB answer = YES
26 Correct 0 ms 456 KB answer = YES
27 Correct 1 ms 424 KB answer = YES
28 Correct 1 ms 452 KB answer = YES
29 Correct 0 ms 600 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 1 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 1 ms 348 KB answer = YES
34 Correct 1 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 452 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB answer = YES
2 Correct 0 ms 348 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 456 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 1 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 1 ms 348 KB answer = YES
12 Correct 0 ms 344 KB answer = NO
13 Correct 1 ms 348 KB answer = YES
14 Correct 0 ms 456 KB answer = YES
15 Correct 1 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 1 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 348 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 1 ms 600 KB answer = YES
25 Correct 1 ms 348 KB answer = YES
26 Correct 0 ms 456 KB answer = YES
27 Correct 1 ms 424 KB answer = YES
28 Correct 1 ms 452 KB answer = YES
29 Correct 0 ms 600 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 1 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 1 ms 348 KB answer = YES
34 Correct 1 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 452 KB answer = YES
37 Correct 1 ms 600 KB answer = YES
38 Correct 1 ms 348 KB answer = YES
39 Correct 1 ms 344 KB answer = YES
40 Correct 1 ms 604 KB answer = YES
41 Correct 1 ms 520 KB answer = NO
42 Correct 1 ms 604 KB answer = YES
43 Correct 1 ms 604 KB answer = YES
44 Correct 1 ms 604 KB answer = YES
45 Correct 1 ms 592 KB answer = YES
46 Correct 1 ms 568 KB answer = YES
47 Correct 1 ms 604 KB answer = YES
48 Correct 1 ms 604 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB answer = YES
2 Correct 0 ms 348 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 456 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 1 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 1 ms 348 KB answer = YES
12 Correct 0 ms 344 KB answer = NO
13 Correct 1 ms 348 KB answer = YES
14 Correct 0 ms 456 KB answer = YES
15 Correct 1 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 1 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 348 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 1 ms 600 KB answer = YES
25 Correct 1 ms 348 KB answer = YES
26 Correct 0 ms 456 KB answer = YES
27 Correct 1 ms 424 KB answer = YES
28 Correct 1 ms 452 KB answer = YES
29 Correct 0 ms 600 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 1 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 1 ms 348 KB answer = YES
34 Correct 1 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 452 KB answer = YES
37 Correct 1 ms 600 KB answer = YES
38 Correct 1 ms 348 KB answer = YES
39 Correct 1 ms 344 KB answer = YES
40 Correct 1 ms 604 KB answer = YES
41 Correct 1 ms 520 KB answer = NO
42 Correct 1 ms 604 KB answer = YES
43 Correct 1 ms 604 KB answer = YES
44 Correct 1 ms 604 KB answer = YES
45 Correct 1 ms 592 KB answer = YES
46 Correct 1 ms 568 KB answer = YES
47 Correct 1 ms 604 KB answer = YES
48 Correct 1 ms 604 KB answer = YES
49 Correct 9 ms 2652 KB answer = YES
50 Correct 12 ms 2876 KB answer = YES
51 Correct 8 ms 2652 KB answer = YES
52 Correct 5 ms 2648 KB answer = NO
53 Correct 1 ms 604 KB answer = YES
54 Correct 3 ms 1044 KB answer = YES
55 Correct 5 ms 1624 KB answer = YES
56 Correct 9 ms 2904 KB answer = YES
57 Correct 9 ms 2396 KB answer = YES
58 Correct 8 ms 2396 KB answer = YES
59 Correct 8 ms 2396 KB answer = YES
60 Correct 9 ms 2652 KB answer = YES
61 Correct 4 ms 1372 KB answer = YES
62 Correct 6 ms 2904 KB answer = NO
63 Correct 353 ms 28152 KB answer = YES
64 Correct 335 ms 28544 KB answer = NO
65 Correct 339 ms 28240 KB answer = YES
66 Correct 2 ms 860 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB answer = YES
2 Correct 0 ms 348 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 456 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 1 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 1 ms 348 KB answer = YES
12 Correct 0 ms 344 KB answer = NO
13 Correct 1 ms 348 KB answer = YES
14 Correct 0 ms 456 KB answer = YES
15 Correct 1 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 1 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 348 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 1 ms 600 KB answer = YES
25 Correct 1 ms 348 KB answer = YES
26 Correct 0 ms 456 KB answer = YES
27 Correct 1 ms 424 KB answer = YES
28 Correct 1 ms 452 KB answer = YES
29 Correct 0 ms 600 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 1 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 1 ms 348 KB answer = YES
34 Correct 1 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 452 KB answer = YES
37 Correct 1 ms 600 KB answer = YES
38 Correct 1 ms 348 KB answer = YES
39 Correct 1 ms 344 KB answer = YES
40 Correct 1 ms 604 KB answer = YES
41 Correct 1 ms 520 KB answer = NO
42 Correct 1 ms 604 KB answer = YES
43 Correct 1 ms 604 KB answer = YES
44 Correct 1 ms 604 KB answer = YES
45 Correct 1 ms 592 KB answer = YES
46 Correct 1 ms 568 KB answer = YES
47 Correct 1 ms 604 KB answer = YES
48 Correct 1 ms 604 KB answer = YES
49 Correct 9 ms 2652 KB answer = YES
50 Correct 12 ms 2876 KB answer = YES
51 Correct 8 ms 2652 KB answer = YES
52 Correct 5 ms 2648 KB answer = NO
53 Correct 1 ms 604 KB answer = YES
54 Correct 3 ms 1044 KB answer = YES
55 Correct 5 ms 1624 KB answer = YES
56 Correct 9 ms 2904 KB answer = YES
57 Correct 9 ms 2396 KB answer = YES
58 Correct 8 ms 2396 KB answer = YES
59 Correct 8 ms 2396 KB answer = YES
60 Correct 9 ms 2652 KB answer = YES
61 Correct 4 ms 1372 KB answer = YES
62 Correct 6 ms 2904 KB answer = NO
63 Correct 353 ms 28152 KB answer = YES
64 Correct 335 ms 28544 KB answer = NO
65 Correct 339 ms 28240 KB answer = YES
66 Correct 2 ms 860 KB answer = YES
67 Correct 79 ms 23248 KB answer = YES
68 Correct 71 ms 23248 KB answer = YES
69 Correct 64 ms 22356 KB answer = YES
70 Correct 101 ms 36020 KB answer = YES
71 Correct 76 ms 22348 KB answer = YES
72 Correct 161 ms 23152 KB answer = YES
73 Correct 135 ms 22356 KB answer = YES
74 Correct 52 ms 14672 KB answer = YES
75 Correct 38 ms 15068 KB answer = NO
76 Correct 11 ms 3160 KB answer = YES
77 Correct 22 ms 6104 KB answer = YES
78 Correct 42 ms 10220 KB answer = YES
79 Correct 115 ms 19936 KB answer = YES
80 Correct 55 ms 15324 KB answer = YES
81 Correct 75 ms 22100 KB answer = NO
82 Correct 98 ms 22636 KB answer = YES
83 Correct 142 ms 22356 KB answer = YES
84 Correct 151 ms 23284 KB answer = YES
85 Correct 71 ms 23136 KB answer = YES
86 Correct 68 ms 22356 KB answer = YES
87 Correct 72 ms 22488 KB answer = NO
88 Correct 133 ms 22668 KB answer = YES
89 Correct 103 ms 22352 KB answer = YES
90 Correct 100 ms 22436 KB answer = YES
91 Correct 107 ms 22356 KB answer = YES
92 Correct 43 ms 11356 KB answer = YES
93 Correct 41 ms 11352 KB answer = YES
94 Correct 107 ms 23248 KB answer = NO
95 Correct 48 ms 22000 KB answer = NO
96 Correct 347 ms 36604 KB answer = YES
97 Correct 41 ms 23432 KB answer = NO