oj.uz

Submission #819976

# Submission time Handle Problem Language Result Execution time Memory
819976 2023-08-10T16:43:16 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 37940 KB 
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")

#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;
int kol[2 * mxN + 5];

int X = 0; bool f = 1;
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(dlA >= sumA)br += kol[sumA + mxN];

    br += (f && sumA + X == 0) * ((min(0, dlA + X) >= 0) + (grB >= 0));

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


}


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


    vector<int> svi;
    ff(_,0,1){
        for(auto u : g[cen]){
            if(!bio[u]){
                dfs(u, cen, 0, 0, min(0, X));
                
                for(auto c : cuvaj){
                    kol[c] += 1; svi.pb(c);
                }
                cuvaj.clear();

            }
        }

        for(auto c : svi)kol[c] = 0;
        svi.clear();

        reverse(all(g[cen])); f ^= 1;

    }

    for(auto u : g[cen]){
        if(!bio[u]){
            decompose(u);
        }
    }


}

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);

    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 7448 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 5 ms 7380 KB Output is correct
6 Correct 5 ms 7380 KB Output is correct
7 Correct 5 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 5 ms 7380 KB Output is correct
10 Correct 7 ms 7492 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 278 ms 35000 KB Output is correct
2 Correct 311 ms 35020 KB Output is correct
3 Correct 272 ms 34920 KB Output is correct
4 Correct 276 ms 34964 KB Output is correct
5 Correct 281 ms 34976 KB Output is correct
6 Correct 316 ms 36012 KB Output is correct
7 Correct 269 ms 34908 KB Output is correct
8 Correct 302 ms 36196 KB Output is correct
9 Correct 296 ms 34988 KB Output is correct
10 Correct 278 ms 37940 KB Output is correct
11 Correct 298 ms 36656 KB Output is correct

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 7448 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 5 ms 7380 KB Output is correct
6 Correct 5 ms 7380 KB Output is correct
7 Correct 5 ms 7380 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 5 ms 7380 KB Output is correct
10 Correct 7 ms 7492 KB Output is correct
11 Correct 278 ms 35000 KB Output is correct
12 Correct 311 ms 35020 KB Output is correct
13 Correct 272 ms 34920 KB Output is correct
14 Correct 276 ms 34964 KB Output is correct
15 Correct 281 ms 34976 KB Output is correct
16 Correct 316 ms 36012 KB Output is correct
17 Correct 269 ms 34908 KB Output is correct
18 Correct 302 ms 36196 KB Output is correct
19 Correct 296 ms 34988 KB Output is correct
20 Correct 278 ms 37940 KB Output is correct
21 Correct 298 ms 36656 KB Output is correct
22 Correct 927 ms 20972 KB Output is correct
23 Correct 713 ms 20340 KB Output is correct
24 Correct 721 ms 20512 KB Output is correct
25 Correct 630 ms 19928 KB Output is correct
26 Execution timed out 3046 ms 33804 KB Time limit exceeded
27 Halted 0 ms 0 KB -