oj.uz

Submission #819931

# Submission time Handle Problem Language Result Execution time Memory
819931 2023-08-10T15:58:03 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 59036 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;
map<int,vector<int>> kol;

void dfs(int v, int p, int sumA, int dlA, int grB, int X, bool f){
    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, 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);

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

        }
    }

    reverse(all(g[cen]));

    kol.clear();
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            dfs(u, cen, 0, 0, min(0, X), X, 0);
            
            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 5 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 5 ms 7424 KB Output is correct
7 Correct 4 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 6 ms 7380 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 390 ms 41972 KB Output is correct
2 Correct 278 ms 41952 KB Output is correct
3 Correct 391 ms 42140 KB Output is correct
4 Correct 310 ms 41908 KB Output is correct
5 Correct 449 ms 42064 KB Output is correct
6 Correct 514 ms 44604 KB Output is correct
7 Correct 420 ms 42164 KB Output is correct
8 Correct 552 ms 44552 KB Output is correct
9 Correct 401 ms 42192 KB Output is correct
10 Correct 731 ms 59036 KB Output is correct
11 Correct 380 ms 43536 KB Output is correct

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 4 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 5 ms 7424 KB Output is correct
7 Correct 4 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 6 ms 7380 KB Output is correct
11 Correct 390 ms 41972 KB Output is correct
12 Correct 278 ms 41952 KB Output is correct
13 Correct 391 ms 42140 KB Output is correct
14 Correct 310 ms 41908 KB Output is correct
15 Correct 449 ms 42064 KB Output is correct
16 Correct 514 ms 44604 KB Output is correct
17 Correct 420 ms 42164 KB Output is correct
18 Correct 552 ms 44552 KB Output is correct
19 Correct 401 ms 42192 KB Output is correct
20 Correct 731 ms 59036 KB Output is correct
21 Correct 380 ms 43536 KB Output is correct
22 Correct 1002 ms 19948 KB Output is correct
23 Correct 1036 ms 19536 KB Output is correct
24 Correct 1006 ms 19592 KB Output is correct
25 Correct 1151 ms 19496 KB Output is correct
26 Execution timed out 3038 ms 32444 KB Time limit exceeded
27 Halted 0 ms 0 KB -