oj.uz

Submission #819963

# Submission time Handle Problem Language Result Execution time Memory
819963 2023-08-10T16:25:33 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 49584 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,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(dlA >= sumA && kol.count(sumA) == 1)br += kol[sumA];

    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);

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

        }
    }

    reverse(all(g[cen]));

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

        }
    }

    // reverse(all(g[cen]));
    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 4 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 7380 KB Output is correct
6 Correct 5 ms 7424 KB Output is correct
7 Correct 5 ms 7380 KB Output is correct
8 Correct 5 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 293 ms 41992 KB Output is correct
2 Correct 297 ms 41904 KB Output is correct
3 Correct 326 ms 42044 KB Output is correct
4 Correct 274 ms 41952 KB Output is correct
5 Correct 301 ms 42032 KB Output is correct
6 Correct 364 ms 43128 KB Output is correct
7 Correct 296 ms 42028 KB Output is correct
8 Correct 406 ms 43108 KB Output is correct
9 Correct 315 ms 42032 KB Output is correct
10 Correct 484 ms 49584 KB Output is correct
11 Correct 252 ms 42736 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 4 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 5 ms 7380 KB Output is correct
8 Correct 5 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 293 ms 41992 KB Output is correct
12 Correct 297 ms 41904 KB Output is correct
13 Correct 326 ms 42044 KB Output is correct
14 Correct 274 ms 41952 KB Output is correct
15 Correct 301 ms 42032 KB Output is correct
16 Correct 364 ms 43128 KB Output is correct
17 Correct 296 ms 42028 KB Output is correct
18 Correct 406 ms 43108 KB Output is correct
19 Correct 315 ms 42032 KB Output is correct
20 Correct 484 ms 49584 KB Output is correct
21 Correct 252 ms 42736 KB Output is correct
22 Correct 746 ms 19560 KB Output is correct
23 Correct 808 ms 19184 KB Output is correct
24 Correct 951 ms 19592 KB Output is correct
25 Correct 785 ms 19284 KB Output is correct
26 Execution timed out 3075 ms 27756 KB Time limit exceeded
27 Halted 0 ms 0 KB -