Submission #83351

# Submission time Handle Problem Language Result Execution time Memory
83351 2018-11-07T09:21:28 Z teomrn Pipes (BOI13_pipes) C++14
100 / 100
252 ms 23948 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long i64;
const int NMAX = 100010;

vector <pair <int, int>> adia[NMAX + 10];
int tata[NMAX + 10];
int taken[NMAX + 10];
int h[NMAX + 10];
i64 ce_s_vrea[NMAX + 10];
int ans[5 * NMAX + 10];

vector <vector <int>> centers;

void Prost()
{
    cout << 0;
    exit(0);

}

bool dfs(int nod, bool did)
{
    for (auto i : adia[nod]) {
        if (i.first == tata[nod])
            continue;
        if (tata[i.first] != 0) {
            if (h[i.first] > h[nod])
                continue;
            if (did)
                Prost();
            vector <int> c;
            for (int j = nod; j != tata[i.first]; j = tata[j]) {
                if (taken[j])
                    Prost();
                taken[j] = 1;
                c.push_back(j);
            }
            centers.push_back(c);
            did = 1;
        }
        else {
            tata[i.first] = nod;
            h[i.first] = 1 + h[nod];
            did |= dfs(i.first, did);
        }
    }
    return did;
}

int solve_arb(int nod, int tata)
{
    int ce_tata;
    for (auto i : adia[nod]) {
        if (i.first != tata) {
            ans[i.second] = solve_arb(i.first, nod);
            ce_s_vrea[nod] -= ans[i.second];
        }
    }
    return ce_s_vrea[nod];
}

void solve_ciclu(vector <int> ciclu)
{
    vector <int> a(ciclu.size());
    vector <i64> s_st(ciclu.size() + 1), s_dr(ciclu.size() + 1);

    int n = ciclu.size();

    if (n % 2 == 0)
        Prost();

    for (int i = 0; i < n; i++) {
        for (auto j : adia[ciclu[i]]) {
            if (j.first != ciclu[(i + 1) % n] && j.first != ciclu[(i + n - 1) % n]) {
                int x = solve_arb(j.first, ciclu[i]);
                ce_s_vrea[ciclu[i]] -= x;
                ans[j.second] = x;
            }
            else if (j.first == ciclu[(i + 1) % n])
                a[i] = j.second;
        }
    }
    i64 s_total = 0;
    for (auto i : ciclu)
        s_total += ce_s_vrea[i];

    if ((s_total & 1LL) || (s_total && n == 1))
        Prost();

    s_st[0] = ce_s_vrea[ciclu[0]];
    for (int i = 1; i < n; i++)
        s_st[i] = ce_s_vrea[ciclu[i]] - s_st[i - 1];
    s_dr[n - 1] = ce_s_vrea[ciclu[n - 1]];
    for (int i = n - 2; i >= 0; i--)
        s_dr[i] = ce_s_vrea[ciclu[i]] - s_dr[i + 1];

    for (int i = 0; i < n; i++)
        ans[a[i]] = (s_st[i] + s_dr[i + 1]) / 2;
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n, m, a, b;

    cin >> n >> m;
    for (int i = 1; i <= n; i++)
        cin >> ce_s_vrea[i];

    for (int i = 1; i <= m; i++) {
        cin >> a >> b;
        adia[a].push_back({ b, i });
        adia[b].push_back({ a, i });
    }

    for (int i = 1; i <= n; i++) {
        if (!tata[i]) {
            tata[i] = -1;
            auto x = dfs(i, 0);
            if (!x)
                centers.push_back({ i });
        }
    }

    for (auto i : centers)
        solve_ciclu(i);

    for (int i = 1; i <= m; i++)
        cout << 2LL * ans[i] << '\n';

    return 0;
}

Compilation message

pipes.cpp: In function 'int solve_arb(int, int)':
pipes.cpp:54:9: warning: unused variable 'ce_tata' [-Wunused-variable]
     int ce_tata;
         ^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2680 KB Output is correct
2 Correct 4 ms 2680 KB Output is correct
3 Correct 4 ms 2848 KB Output is correct
4 Correct 83 ms 9004 KB Output is correct
5 Correct 4 ms 9004 KB Output is correct
6 Correct 4 ms 9004 KB Output is correct
7 Correct 5 ms 9004 KB Output is correct
8 Correct 4 ms 9004 KB Output is correct
9 Correct 5 ms 9004 KB Output is correct
10 Correct 5 ms 9004 KB Output is correct
11 Correct 5 ms 9004 KB Output is correct
12 Correct 5 ms 9004 KB Output is correct
13 Correct 83 ms 9004 KB Output is correct
14 Correct 114 ms 9004 KB Output is correct
15 Correct 96 ms 9396 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Correct 89 ms 9412 KB Output is correct
18 Correct 95 ms 9412 KB Output is correct
19 Correct 118 ms 15752 KB Output is correct
20 Correct 6 ms 15752 KB Output is correct
21 Correct 6 ms 15752 KB Output is correct
22 Correct 98 ms 15752 KB Output is correct
23 Correct 62 ms 15752 KB Output is correct
24 Correct 80 ms 15752 KB Output is correct
25 Correct 72 ms 15752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 15752 KB Output is correct
2 Correct 5 ms 15752 KB Output is correct
3 Correct 102 ms 16108 KB Output is correct
4 Correct 96 ms 19516 KB Output is correct
5 Correct 62 ms 19516 KB Output is correct
6 Correct 252 ms 19516 KB Output is correct
7 Correct 4 ms 19516 KB Output is correct
8 Correct 4 ms 19516 KB Output is correct
9 Correct 9 ms 19516 KB Output is correct
10 Correct 4 ms 19516 KB Output is correct
11 Correct 4 ms 19516 KB Output is correct
12 Correct 5 ms 19516 KB Output is correct
13 Correct 5 ms 19516 KB Output is correct
14 Correct 5 ms 19516 KB Output is correct
15 Correct 6 ms 19516 KB Output is correct
16 Correct 5 ms 19516 KB Output is correct
17 Correct 4 ms 19516 KB Output is correct
18 Correct 4 ms 19516 KB Output is correct
19 Correct 5 ms 19516 KB Output is correct
20 Correct 4 ms 19516 KB Output is correct
21 Correct 5 ms 19516 KB Output is correct
22 Correct 6 ms 19516 KB Output is correct
23 Correct 80 ms 19516 KB Output is correct
24 Correct 120 ms 19516 KB Output is correct
25 Correct 75 ms 19516 KB Output is correct
26 Correct 142 ms 19516 KB Output is correct
27 Correct 121 ms 19516 KB Output is correct
28 Correct 62 ms 19516 KB Output is correct
29 Correct 233 ms 19516 KB Output is correct
30 Correct 139 ms 22384 KB Output is correct
31 Correct 116 ms 23948 KB Output is correct
32 Correct 94 ms 23948 KB Output is correct
33 Correct 88 ms 23948 KB Output is correct
34 Correct 86 ms 23948 KB Output is correct
35 Correct 127 ms 23948 KB Output is correct
36 Correct 75 ms 23948 KB Output is correct
37 Correct 232 ms 23948 KB Output is correct
38 Correct 109 ms 23948 KB Output is correct
39 Correct 95 ms 23948 KB Output is correct
40 Correct 96 ms 23948 KB Output is correct
41 Correct 110 ms 23948 KB Output is correct
42 Correct 80 ms 23948 KB Output is correct
43 Correct 87 ms 23948 KB Output is correct
44 Correct 55 ms 23948 KB Output is correct
45 Correct 209 ms 23948 KB Output is correct
46 Correct 111 ms 23948 KB Output is correct
47 Correct 86 ms 23948 KB Output is correct
48 Correct 114 ms 23948 KB Output is correct
49 Correct 78 ms 23948 KB Output is correct
50 Correct 95 ms 23948 KB Output is correct
51 Correct 80 ms 23948 KB Output is correct
52 Correct 66 ms 23948 KB Output is correct
53 Correct 213 ms 23948 KB Output is correct
54 Correct 122 ms 23948 KB Output is correct