oj.uz

Submission #819974

# Submission time Handle Problem Language Result Execution time Memory
819974 2023-08-10T16:42:52 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 45024 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];

    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 4 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 4 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 5 ms 7372 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 8 ms 7508 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 42128 KB Output is correct
2 Correct 265 ms 42000 KB Output is correct
3 Correct 294 ms 42076 KB Output is correct
4 Correct 280 ms 42000 KB Output is correct
5 Correct 281 ms 42024 KB Output is correct
6 Correct 281 ms 43104 KB Output is correct
7 Correct 268 ms 42052 KB Output is correct
8 Correct 305 ms 43088 KB Output is correct
9 Correct 285 ms 42160 KB Output is correct
10 Correct 250 ms 45024 KB Output is correct
11 Correct 288 ms 43628 KB Output is correct

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 5 ms 7380 KB Output is correct
4 Correct 4 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 5 ms 7372 KB Output is correct
8 Correct 4 ms 7380 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 8 ms 7508 KB Output is correct
11 Correct 258 ms 42128 KB Output is correct
12 Correct 265 ms 42000 KB Output is correct
13 Correct 294 ms 42076 KB Output is correct
14 Correct 280 ms 42000 KB Output is correct
15 Correct 281 ms 42024 KB Output is correct
16 Correct 281 ms 43104 KB Output is correct
17 Correct 268 ms 42052 KB Output is correct
18 Correct 305 ms 43088 KB Output is correct
19 Correct 285 ms 42160 KB Output is correct
20 Correct 250 ms 45024 KB Output is correct
21 Correct 288 ms 43628 KB Output is correct
22 Correct 811 ms 20876 KB Output is correct
23 Correct 729 ms 20364 KB Output is correct
24 Correct 775 ms 20424 KB Output is correct
25 Correct 756 ms 19920 KB Output is correct
26 Execution timed out 3068 ms 33096 KB Time limit exceeded
27 Halted 0 ms 0 KB -