oj.uz

Submission #819923

# Submission time Handle Problem Language Result Execution time Memory
819923 2023-08-10T15:45:56 Z stefanopulos Zagrade (COI17_zagrade) C++17
10 / 100
 3000 ms 50128 KB 
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
 
using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ldb;
 
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ldb,ldb> pdd;

#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for(auto& a : x)
 
#define sz(a) (int)(a).size()
#define fi first
#define se second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
 
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k)  print the k-th smallest number in os(0-based)

const int mod = 1000000007;
const int inf = 1e9 + 5;
const int mxN = 300005; 

int n;
string s;

vector<int> g[mxN];

int cnt[mxN];
bool bio[mxN];
void dfs_cnt(int v, int p){
    cnt[v] = 1;
    for(auto u : g[v]){
        if(u != p && !bio[u]){
            dfs_cnt(u, v);
            cnt[v] += cnt[u];
        }
    }
}

int centroid(int v, int p, int vel){
    for(auto u : g[v]){
        if(u == p || bio[u])continue;
        if(cnt[v] > vel / 2)return centroid(u, v, vel);
    }
    return v;
}

ll br = 0;
vector<pii> svi;
vector<pii> cuvaj;

void dfs(int v, int p, int sumA, int dlA, int sumB, int grB, int X, bool f){
    int Y = (s[v] == '(' ? 1 : -1);
    sumA += Y; dlA = min(dlA, sumA);
    sumB += Y; grB = min(0, grB + Y);

    // cout << "v: " << v << " " << sumA << " " << dlA << " " << sumB << " " << grB << '\n';

    for(auto c : svi){
        if(c.fi + sumA == 0 && c.fi + dlA >= 0 && c.se >= 0){
            // cout << "v: " << v << '\n';
            br += 1;
        }
    }

    if(f == 1){

        // ovo je od cen
        if(sumB == 0 && min(0, dlA + X) >= 0){
            br += 1;
            // cout << "v dva: " << v << '\n';
        }

        // ovo je do cen
        if(sumB == 0 && grB >= 0){
            br += 1;
        }

    }

    cuvaj.pb({sumB, grB});
    for(auto u : g[v]){
        if(u != p && !bio[u]){
            dfs(u, v, sumA, dlA, sumB, grB, X, f);
        }
    }


}


void decompose(int v, int p){
    dfs_cnt(v, -1); int cen = centroid(v, -1, cnt[v]);
    bio[cen] = 1; int X = (s[cen] == '(' ? 1 : -1);

    // cout << "cen: " << cen << '\n';

    svi.clear(); 
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            dfs(u, cen, 0, 0, X, min(0, X), X, 1);
            
            for(auto c : cuvaj)svi.pb(c);
            cuvaj.clear();

        }
    }

    // cout << "--------------------------------" << '\n';
    // cout << '\n';

    reverse(all(g[cen]));

    svi.clear(); 
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            dfs(u, cen, 0, 0, X, min(0, X), X, 0);
            
            for(auto c : cuvaj)svi.pb(c);
            cuvaj.clear();

        }
    }

    reverse(all(g[cen]));
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            decompose(u, cen);
        }
    }


}

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

    cin >> n >> s;
    s = ' ' + s;
    ff(i,1,n - 1){
        int u, v;
        cin >> u >> v;
        g[u].pb(v);
        g[v].pb(u);
    }

    decompose(1, -1);

    cout << br << '\n';

    return 0;
}
/*



// probati bojenje sahovski
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7392 KB Output is correct
2 Correct 5 ms 7396 KB Output is correct
3 Correct 7 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 7 ms 7380 KB Output is correct
6 Correct 7 ms 7400 KB Output is correct
7 Correct 5 ms 7396 KB Output is correct
8 Correct 5 ms 7380 KB Output is correct
9 Correct 6 ms 7400 KB Output is correct
10 Correct 10 ms 7480 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3061 ms 50128 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7392 KB Output is correct
2 Correct 5 ms 7396 KB Output is correct
3 Correct 7 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 7 ms 7380 KB Output is correct
6 Correct 7 ms 7400 KB Output is correct
7 Correct 5 ms 7396 KB Output is correct
8 Correct 5 ms 7380 KB Output is correct
9 Correct 6 ms 7400 KB Output is correct
10 Correct 10 ms 7480 KB Output is correct
11 Execution timed out 3061 ms 50128 KB Time limit exceeded
12 Halted 0 ms 0 KB -