oj.uz

Submission #819934

# Submission time Handle Problem Language Result Execution time Memory
819934 2023-08-10T16:00:35 Z stefanopulos Zagrade (COI17_zagrade) C++17
10 / 100
 3000 ms 55448 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<int> cuvaj;
unordered_map<int,vector<int>> kol;

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

    if(kol.count(sumA) == 1){

        int l = 0, r = sz(kol[sumA]) - 1, ans = -1;
        while(l <= r){
            int mid = (l + r) / 2;
            if(dlA >= kol[sumA][mid]){
                ans = mid;
                l = mid + 1;
            }
            else r = mid - 1;
        }

        br += ans + 1;

    }    

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

    if(grB == 0)cuvaj.pb(-(sumA + X));
    for(auto u : g[v]){
        if(u != p && !bio[u]){
            dfs(u, v, sumA, dlA, grB);
        }
    }


}


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

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

        }
    }

    reverse(all(g[cen]));

    kol.clear(); f = 0;
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            dfs(u, cen, 0, 0, min(0, X));
            
            for(auto c : cuvaj)kol[c].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 6 ms 7380 KB Output is correct
2 Correct 5 ms 7380 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 5 ms 7392 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 5 ms 7380 KB Output is correct
8 Correct 4 ms 7428 KB Output is correct
9 Correct 5 ms 7380 KB Output is correct
10 Correct 8 ms 7480 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 437 ms 42112 KB Output is correct
2 Correct 322 ms 41996 KB Output is correct
3 Correct 433 ms 42024 KB Output is correct
4 Correct 332 ms 41960 KB Output is correct
5 Correct 453 ms 42096 KB Output is correct
6 Correct 2517 ms 44440 KB Output is correct
7 Correct 457 ms 42176 KB Output is correct
8 Correct 2773 ms 44328 KB Output is correct
9 Correct 438 ms 41956 KB Output is correct
10 Execution timed out 3087 ms 55448 KB Time limit exceeded
11 Halted 0 ms 0 KB -

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7380 KB Output is correct
2 Correct 5 ms 7380 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 5 ms 7392 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 5 ms 7380 KB Output is correct
8 Correct 4 ms 7428 KB Output is correct
9 Correct 5 ms 7380 KB Output is correct
10 Correct 8 ms 7480 KB Output is correct
11 Correct 437 ms 42112 KB Output is correct
12 Correct 322 ms 41996 KB Output is correct
13 Correct 433 ms 42024 KB Output is correct
14 Correct 332 ms 41960 KB Output is correct
15 Correct 453 ms 42096 KB Output is correct
16 Correct 2517 ms 44440 KB Output is correct
17 Correct 457 ms 42176 KB Output is correct
18 Correct 2773 ms 44328 KB Output is correct
19 Correct 438 ms 41956 KB Output is correct
20 Execution timed out 3087 ms 55448 KB Time limit exceeded
21 Halted 0 ms 0 KB -