oj.uz

Submission #1109529

# Submission time Handle Problem Language Result Execution time Memory
1109529 2024-11-07T02:05:34 Z Zero_OP Stranded Far From Home (BOI22_island) C++14
35 / 100
 139 ms 57416 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX = 2e5 + 5;

int N, M, a[MAX];
vector<int> adj[MAX];

namespace subtask1{
    bool check(){
        return N <= 2000 && M <= 2000;
    }

    void solve(){
        vector<bool> vis(N);
        auto solve = [&](int s) -> bool{
            priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
            fill(vis.begin(), vis.end(), false);

            long long have = a[s];
            vis[s] = true;
            for(int u : adj[s]){
                if(!vis[u]){
                    vis[u] = true;
                    pq.push({a[u], u});
                }
            }

            while(!pq.empty()){
                int demand, u;
                tie(demand, u) = pq.top(); pq.pop();
                if(demand > have) return false;
                have += demand;

                for(auto v : adj[u]){
                    if(!vis[v]){
                        vis[v] = true;
                        pq.push({a[v], v});
                    }
                }
            }

            return true;
        };

        for(int i = 0; i < N; ++i){
            cout << solve(i);
        }
    }
}

namespace subtask2{
    bool check(){
        for(int i = 1; i < N; ++i){
            if(a[i - 1] < a[i]) return false;
            int lower = 0;
            for(int j : adj[i]){
                if(j < i){
                    ++lower;
                    if(lower == 2) return false;
                }
            }
        }

        return true;
    }

    int diff[MAX], tin[MAX], tout[MAX], tour[MAX], timer_dfs;
    long long sum_subtree[MAX];

    void block(int l, int r){
        ++diff[l];
        --diff[r + 1];
    }

    void pre_dfs(int u, int p){
        tour[tin[u] = timer_dfs++] = u;
        sum_subtree[u] = a[u];
        for(int v : adj[u]) if(v != p){
            pre_dfs(v, u);
            sum_subtree[u] += sum_subtree[v];
        }

        tout[u] = timer_dfs - 1;
    }

    void dfs_solve(int u, int p){
        for(int v : adj[u]) if(v != p){
            dfs_solve(v, u);

            if(a[u] > sum_subtree[v]){
                block(tin[v], tout[v]);
            }
        }
    }

    void solve(){
        pre_dfs(0, -1);
        dfs_solve(0, -1);

        for(int i = 1; i < N; ++i){
            diff[i] += diff[i - 1];
        }

        vector<bool> answer(N, true);
        for(int i = 0; i < N; ++i){
            if(diff[i] > 0){
                answer[tour[i]] = false;
            }
        }

        for(int i = 0; i < N; ++i){
            cout << answer[i];
        }
    }
}

namespace subtask3{
    bool check(){
        for(int i = 0; i < N; ++i){
            for(int j : adj[i]){
                if(abs(i - j) != 1) return false;
            }
        }
        return true;
    }

    long long pref[MAX];
    pair<int, int> rmq[20][MAX];
    int diff[MAX];

    void block(int l, int r){
        diff[l] += 1;
        diff[r + 1] -= 1;
    }

    pair<int, int> query(int l, int r){
        int k = 31 - __builtin_clz(r - l + 1);
        return max(rmq[k][l], rmq[k][r - (1 << k) + 1]);
    }

    long long sum(int l, int r){
        return pref[r] - (l > 0 ? pref[l - 1] : 0);
    }

    void solve(int l, int r){
        if(l >= r) return;

        int mx, mid; tie(mx, mid) = query(l, r);

        if(l < mid){
            if(sum(l, mid - 1) >= mx) solve(l, mid - 1);
            else block(l, mid - 1);
        }

        if(mid < r){
            if(sum(mid + 1, r) >= mx) solve(mid + 1, r);
            else block(mid + 1, r);
        }
    }

    void solve(){
        copy(a, a + N, pref);
        for(int i = 1; i < N; ++i){
            pref[i] += pref[i - 1];
        }

        for(int i = 0; i < N; ++i){
            rmq[0][i] = {a[i], i};
        }

        for(int i = 1; (1 << i) <= N; ++i){
            for(int j = 0; j + (1 << i) - 1 < N; ++j){
                rmq[i][j] = max(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))]);
            }
        }

        solve(0, N - 1);
        for(int i = 1; i < N; ++i) diff[i] += diff[i - 1];
        for(int i = 0; i < N; ++i){
            cout << (diff[i] == 0);
        }
    }
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

#ifdef LOCAL
    freopen("task.inp", "r", stdin);
    freopen("task.out", "w", stdout);
#endif // LOCAL

    cin >> N >> M;
    for(int i = 0; i < N; ++i){
        cin >> a[i];
    }

    while(M--){
        int u, v;
        cin >> u >> v;
        --u, --v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    if(subtask1::check()) return subtask1::solve(), 0;
    if(subtask2::check()) return subtask2::solve(), 0;
    if(subtask3::check()) return subtask3::solve(), 0;

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB Output is correct
2 Correct 2 ms 6480 KB Output is correct
3 Correct 2 ms 6480 KB Output is correct
4 Correct 123 ms 6648 KB Output is correct
5 Correct 106 ms 6480 KB Output is correct
6 Correct 139 ms 6480 KB Output is correct
7 Correct 124 ms 6480 KB Output is correct
8 Correct 86 ms 6480 KB Output is correct
9 Correct 139 ms 6480 KB Output is correct
10 Correct 46 ms 6684 KB Output is correct
11 Correct 44 ms 6480 KB Output is correct
12 Correct 36 ms 6480 KB Output is correct
13 Correct 84 ms 6480 KB Output is correct
14 Correct 65 ms 6480 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB Output is correct
2 Correct 2 ms 6480 KB Output is correct
3 Correct 88 ms 23880 KB Output is correct
4 Correct 86 ms 23880 KB Output is correct
5 Correct 84 ms 21508 KB Output is correct
6 Correct 82 ms 22088 KB Output is correct
7 Correct 79 ms 17744 KB Output is correct
8 Correct 78 ms 17740 KB Output is correct
9 Correct 70 ms 18376 KB Output is correct
10 Correct 56 ms 18364 KB Output is correct
11 Correct 55 ms 18512 KB Output is correct
12 Correct 80 ms 17860 KB Output is correct
13 Correct 84 ms 34892 KB Output is correct
14 Correct 82 ms 33356 KB Output is correct
15 Correct 90 ms 35912 KB Output is correct
16 Correct 68 ms 33096 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB Output is correct
2 Correct 80 ms 46440 KB Output is correct
3 Correct 88 ms 50976 KB Output is correct
4 Correct 88 ms 37704 KB Output is correct
5 Correct 76 ms 49408 KB Output is correct
6 Correct 77 ms 51008 KB Output is correct
7 Correct 92 ms 57160 KB Output is correct
8 Correct 106 ms 57416 KB Output is correct
9 Correct 77 ms 36784 KB Output is correct
10 Correct 91 ms 56648 KB Output is correct
11 Correct 97 ms 49484 KB Output is correct

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB Output is correct
2 Incorrect 69 ms 13364 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB Output is correct
2 Correct 2 ms 6480 KB Output is correct
3 Correct 2 ms 6480 KB Output is correct
4 Correct 123 ms 6648 KB Output is correct
5 Correct 106 ms 6480 KB Output is correct
6 Correct 139 ms 6480 KB Output is correct
7 Correct 124 ms 6480 KB Output is correct
8 Correct 86 ms 6480 KB Output is correct
9 Correct 139 ms 6480 KB Output is correct
10 Correct 46 ms 6684 KB Output is correct
11 Correct 44 ms 6480 KB Output is correct
12 Correct 36 ms 6480 KB Output is correct
13 Correct 84 ms 6480 KB Output is correct
14 Correct 65 ms 6480 KB Output is correct
15 Correct 2 ms 6480 KB Output is correct
16 Correct 2 ms 6480 KB Output is correct
17 Correct 88 ms 23880 KB Output is correct
18 Correct 86 ms 23880 KB Output is correct
19 Correct 84 ms 21508 KB Output is correct
20 Correct 82 ms 22088 KB Output is correct
21 Correct 79 ms 17744 KB Output is correct
22 Correct 78 ms 17740 KB Output is correct
23 Correct 70 ms 18376 KB Output is correct
24 Correct 56 ms 18364 KB Output is correct
25 Correct 55 ms 18512 KB Output is correct
26 Correct 80 ms 17860 KB Output is correct
27 Correct 84 ms 34892 KB Output is correct
28 Correct 82 ms 33356 KB Output is correct
29 Correct 90 ms 35912 KB Output is correct
30 Correct 68 ms 33096 KB Output is correct
31 Correct 2 ms 6480 KB Output is correct
32 Correct 80 ms 46440 KB Output is correct
33 Correct 88 ms 50976 KB Output is correct
34 Correct 88 ms 37704 KB Output is correct
35 Correct 76 ms 49408 KB Output is correct
36 Correct 77 ms 51008 KB Output is correct
37 Correct 92 ms 57160 KB Output is correct
38 Correct 106 ms 57416 KB Output is correct
39 Correct 77 ms 36784 KB Output is correct
40 Correct 91 ms 56648 KB Output is correct
41 Correct 97 ms 49484 KB Output is correct
42 Correct 2 ms 6480 KB Output is correct
43 Incorrect 69 ms 13364 KB Output isn't correct
44 Halted 0 ms 0 KB -