oj.uz

Submission #819967

# Submission time Handle Problem Language Result Execution time Memory
819967 2023-08-10T16:36:54 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 45020 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;
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];

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

    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){
    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 + mxN] += 1;
                    svi.pb(c + mxN);
                }
                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 5 ms 7380 KB Output is correct
2 Correct 5 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7444 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7360 KB Output is correct
8 Correct 4 ms 7312 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 263 ms 41980 KB Output is correct
2 Correct 256 ms 41976 KB Output is correct
3 Correct 258 ms 42216 KB Output is correct
4 Correct 267 ms 41928 KB Output is correct
5 Correct 254 ms 41972 KB Output is correct
6 Correct 279 ms 43216 KB Output is correct
7 Correct 257 ms 42080 KB Output is correct
8 Correct 278 ms 43124 KB Output is correct
9 Correct 278 ms 42148 KB Output is correct
10 Correct 236 ms 45020 KB Output is correct
11 Correct 284 ms 43692 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 5 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7444 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7360 KB Output is correct
8 Correct 4 ms 7312 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 6 ms 7380 KB Output is correct
11 Correct 263 ms 41980 KB Output is correct
12 Correct 256 ms 41976 KB Output is correct
13 Correct 258 ms 42216 KB Output is correct
14 Correct 267 ms 41928 KB Output is correct
15 Correct 254 ms 41972 KB Output is correct
16 Correct 279 ms 43216 KB Output is correct
17 Correct 257 ms 42080 KB Output is correct
18 Correct 278 ms 43124 KB Output is correct
19 Correct 278 ms 42148 KB Output is correct
20 Correct 236 ms 45020 KB Output is correct
21 Correct 284 ms 43692 KB Output is correct
22 Correct 772 ms 20964 KB Output is correct
23 Correct 740 ms 20340 KB Output is correct
24 Correct 773 ms 20420 KB Output is correct
25 Correct 706 ms 19880 KB Output is correct
26 Execution timed out 3056 ms 32792 KB Time limit exceeded
27 Halted 0 ms 0 KB -