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Submission #488904

# Submission time Handle Problem Language Result Execution time Memory
488904 2021-11-20T19:10:03 Z Victor Logičari (COCI21_logicari) C++17
110 / 110
 211 ms 27312 KB 
#include <bits/stdc++.h>

using namespace std;

#define rep(i, a, b) for (int i = (a); i < (b); ++i)
#define per(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define trav(a, x) for (auto &a : x)

#define all(x) x.begin(), x.end()
#define sz(x) x.size()
#define pb push_back
#define debug(x) cout << #x << " = " << x << endl

#define umap unordered_map
#define uset unordered_set

typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<vi> vvi;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef vector<ll> vll;
typedef vector<pll> vpll;

const int INF = 1'000'000'007;

struct union_find {
    vi p, rank;
    union_find(int n) {
        p.resize(n);
        rep(i, 0, n) p[i] = i;
        rank.assign(n, 0);
    }

    int find(int i) { return p[i] == i ? i : p[i] = find(p[i]); }
    bool same(int i, int j) { return find(i) == find(j); }
    void union_set(int i, int j) {
        i = find(i);
        j = find(j);
        if (i == j) return;

        if (rank[i] < rank[j]) swap(i, j);
        p[j] = i;
        if (rank[i] == rank[j]) ++rank[i];
    }
};

vi graph[100001];
int root, rem, memo[100001][2][2][2][2], dfs_parent[100001];

int dp(int u, bool take_cur, bool parent, bool taken, bool root_taken) {
    if (u == rem) {
        if (taken != take_cur) return INF;
        if (root_taken && parent) return INF;
    }

    int &ans = memo[u][take_cur][parent][taken][root_taken];
    if (ans != -1) return ans;

    if(u==rem)parent |= root_taken;
    ans = 0;
    int cnt = 0;
    ll mn = INF,cur_ans=0;

    trav(v, graph[u]) if (v != dfs_parent[u]) {
        dfs_parent[v]=u;
        ++cnt;
        ll val = dp(v, 0, take_cur, taken, root_taken);
        cur_ans+=val;
        if (!parent) {
            ll diff = dp(v,1,take_cur,taken,root_taken)-val;
            mn=min(mn,diff);
        }
    }

    if(!parent&&!cnt)return ans= INF;

    if(!parent)ans=min((ll)INF,cur_ans+mn);
    else ans=min((ll)INF,cur_ans);

    //cout<<"u = "<<u+1<<" take_cur = "<<take_cur<<" parent = "<<parent<<" ans = "<<ans<<endl;
    return ans+take_cur;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit);

    memset(memo, -1, sizeof(memo));
    int n;

    cin >> n;
    union_find ufds(n);
    rep(i, 0, n) {
        int u, v;
        cin >> u >> v;
        if (ufds.same(--u, --v)) {
            root = u;
            rem = v;
            continue;
        }

        graph[u].pb(v);
        graph[v].pb(u);
        ufds.union_set(u, v);
    }

    dfs_parent[root] = root;
    int ans = INF;
    ans = dp(root, 1, 0, 0, 1);
    ans = min(ans, dp(root, 1, 1, 1, 1));
    ans = min(ans, dp(root, 0, 0, 0, 0));
    ans = min(ans, dp(root, 0, 1, 1, 0));

    if (ans > n) ans = -1;
    cout << ans << endl;
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8908 KB Output is correct
2 Correct 4 ms 8908 KB Output is correct
3 Correct 4 ms 8908 KB Output is correct
4 Correct 4 ms 8908 KB Output is correct
5 Correct 203 ms 27232 KB Output is correct
6 Correct 202 ms 27312 KB Output is correct
7 Correct 211 ms 27308 KB Output is correct
8 Correct 190 ms 27312 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8908 KB Output is correct
2 Correct 4 ms 8912 KB Output is correct
3 Correct 4 ms 8908 KB Output is correct
4 Correct 4 ms 8908 KB Output is correct
5 Correct 4 ms 8908 KB Output is correct
6 Correct 4 ms 8864 KB Output is correct
7 Correct 4 ms 8908 KB Output is correct
8 Correct 4 ms 8908 KB Output is correct
9 Correct 4 ms 8908 KB Output is correct
10 Correct 4 ms 8884 KB Output is correct
11 Correct 5 ms 8908 KB Output is correct
12 Correct 4 ms 8908 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8908 KB Output is correct
2 Correct 4 ms 8912 KB Output is correct
3 Correct 4 ms 8908 KB Output is correct
4 Correct 4 ms 8908 KB Output is correct
5 Correct 4 ms 8908 KB Output is correct
6 Correct 4 ms 8864 KB Output is correct
7 Correct 4 ms 8908 KB Output is correct
8 Correct 4 ms 8908 KB Output is correct
9 Correct 4 ms 8908 KB Output is correct
10 Correct 4 ms 8884 KB Output is correct
11 Correct 5 ms 8908 KB Output is correct
12 Correct 4 ms 8908 KB Output is correct
13 Correct 5 ms 8908 KB Output is correct
14 Correct 4 ms 8928 KB Output is correct
15 Correct 4 ms 8908 KB Output is correct
16 Correct 4 ms 8928 KB Output is correct
17 Correct 4 ms 8908 KB Output is correct
18 Correct 5 ms 8908 KB Output is correct
19 Correct 4 ms 8908 KB Output is correct
20 Correct 5 ms 8908 KB Output is correct
21 Correct 4 ms 8908 KB Output is correct
22 Correct 5 ms 8960 KB Output is correct
23 Correct 5 ms 9036 KB Output is correct
24 Correct 7 ms 9036 KB Output is correct

Subtask #4
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8908 KB Output is correct
2 Correct 4 ms 8908 KB Output is correct
3 Correct 4 ms 8908 KB Output is correct
4 Correct 4 ms 8908 KB Output is correct
5 Correct 203 ms 27232 KB Output is correct
6 Correct 202 ms 27312 KB Output is correct
7 Correct 211 ms 27308 KB Output is correct
8 Correct 190 ms 27312 KB Output is correct
9 Correct 4 ms 8908 KB Output is correct
10 Correct 4 ms 8912 KB Output is correct
11 Correct 4 ms 8908 KB Output is correct
12 Correct 4 ms 8908 KB Output is correct
13 Correct 4 ms 8908 KB Output is correct
14 Correct 4 ms 8864 KB Output is correct
15 Correct 4 ms 8908 KB Output is correct
16 Correct 4 ms 8908 KB Output is correct
17 Correct 4 ms 8908 KB Output is correct
18 Correct 4 ms 8884 KB Output is correct
19 Correct 5 ms 8908 KB Output is correct
20 Correct 4 ms 8908 KB Output is correct
21 Correct 5 ms 8908 KB Output is correct
22 Correct 4 ms 8928 KB Output is correct
23 Correct 4 ms 8908 KB Output is correct
24 Correct 4 ms 8928 KB Output is correct
25 Correct 4 ms 8908 KB Output is correct
26 Correct 5 ms 8908 KB Output is correct
27 Correct 4 ms 8908 KB Output is correct
28 Correct 5 ms 8908 KB Output is correct
29 Correct 4 ms 8908 KB Output is correct
30 Correct 5 ms 8960 KB Output is correct
31 Correct 5 ms 9036 KB Output is correct
32 Correct 7 ms 9036 KB Output is correct
33 Correct 127 ms 12948 KB Output is correct
34 Correct 104 ms 12740 KB Output is correct
35 Correct 107 ms 12804 KB Output is correct
36 Correct 108 ms 12808 KB Output is correct
37 Correct 21 ms 9908 KB Output is correct
38 Correct 115 ms 12868 KB Output is correct
39 Correct 12 ms 9164 KB Output is correct
40 Correct 120 ms 12904 KB Output is correct
41 Correct 54 ms 13500 KB Output is correct
42 Correct 66 ms 13520 KB Output is correct
43 Correct 152 ms 27192 KB Output is correct
44 Correct 124 ms 20464 KB Output is correct