oj.uz

Submission #819937

# Submission time Handle Problem Language Result Execution time Memory
819937 2023-08-10T16:02:04 Z stefanopulos Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 59164 KB 
#pragma gcc optimize("Ofast")

#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;

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(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);
        }
    }


}


void decompose(int v, int p){
    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(u != p && !bio[u]){
            dfs(u, cen, 0, 0, min(0, X));
            
            for(auto c : cuvaj)kol[c].pb(c);
            cuvaj.clear();

        }
    }

    reverse(all(g[cen]));

    kol.clear(); f = 0;
    for(auto u : g[cen]){
        if(u != p && !bio[u]){
            dfs(u, cen, 0, 0, min(0, X));
            
            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
*/

Compilation message

zagrade.cpp:1: warning: ignoring '#pragma gcc optimize' [-Wunknown-pragmas]
    1 | #pragma gcc optimize("Ofast")
      |

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 6 ms 7420 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 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 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 7436 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 389 ms 42036 KB Output is correct
2 Correct 325 ms 41876 KB Output is correct
3 Correct 411 ms 42100 KB Output is correct
4 Correct 280 ms 42004 KB Output is correct
5 Correct 380 ms 42028 KB Output is correct
6 Correct 508 ms 44644 KB Output is correct
7 Correct 426 ms 41968 KB Output is correct
8 Correct 533 ms 44596 KB Output is correct
9 Correct 399 ms 42096 KB Output is correct
10 Correct 679 ms 59164 KB Output is correct
11 Correct 363 ms 43540 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 6 ms 7420 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 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 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 7436 KB Output is correct
11 Correct 389 ms 42036 KB Output is correct
12 Correct 325 ms 41876 KB Output is correct
13 Correct 411 ms 42100 KB Output is correct
14 Correct 280 ms 42004 KB Output is correct
15 Correct 380 ms 42028 KB Output is correct
16 Correct 508 ms 44644 KB Output is correct
17 Correct 426 ms 41968 KB Output is correct
18 Correct 533 ms 44596 KB Output is correct
19 Correct 399 ms 42096 KB Output is correct
20 Correct 679 ms 59164 KB Output is correct
21 Correct 363 ms 43540 KB Output is correct
22 Correct 1035 ms 19900 KB Output is correct
23 Correct 1020 ms 19508 KB Output is correct
24 Correct 1218 ms 19780 KB Output is correct
25 Correct 1046 ms 19336 KB Output is correct
26 Execution timed out 3079 ms 29332 KB Time limit exceeded
27 Halted 0 ms 0 KB -