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Submission #819927

# Submission time Handle Problem Language Result Execution time Memory
819927 2023-08-10T15:47:27 Z stefanopulos Zagrade (COI17_zagrade) C++17
10 / 100
 3000 ms 46904 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){
            // cout << "v: " << v << '\n';
            br += 1;
        }
    }

    if(f == 1){
        if(sumB == 0 && min(0, dlA + X) >= 0)br += 1;
        if(sumB == 0 && grB >= 0)br += 1;
    }

    if(grB == 0)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 5 ms 7440 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 5 ms 7444 KB Output is correct
4 Correct 6 ms 7380 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 6 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 7 ms 7484 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 664 ms 41992 KB Output is correct
2 Correct 239 ms 46148 KB Output is correct
3 Correct 915 ms 46160 KB Output is correct
4 Correct 271 ms 46176 KB Output is correct
5 Correct 1235 ms 46388 KB Output is correct
6 Execution timed out 3065 ms 46904 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7440 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 5 ms 7444 KB Output is correct
4 Correct 6 ms 7380 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 6 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 7 ms 7484 KB Output is correct
11 Correct 664 ms 41992 KB Output is correct
12 Correct 239 ms 46148 KB Output is correct
13 Correct 915 ms 46160 KB Output is correct
14 Correct 271 ms 46176 KB Output is correct
15 Correct 1235 ms 46388 KB Output is correct
16 Execution timed out 3065 ms 46904 KB Time limit exceeded
17 Halted 0 ms 0 KB -