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Submission #894977

# Submission time Handle Problem Language Result Execution time Memory
894977 2023-12-29T10:14:03 Z vjudge1 Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 736040 KB 
#include<bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
#define int ll
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mispertion ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define F first
#define S second
#define getlast(s) (*s.rbegin())
#define debg cout << "OK\n"

const ld PI = 3.1415926535;
const int N = 3e5 + 2;
const int M = 7e6 + 1;
int mod0 = 1e9+7, mod1 = 1e9+9;
const int infi = INT_MAX;
const ll infl = LLONG_MAX;
const int P = 31;

int mult(int a, int b, int mod) {
    return a * 1LL * b % mod;
}

int sum(int a, int b, int mod) {
    a %= mod; 
    if (a + b < 0)
        return a + b + mod;
    if (a + b >= mod)
        return a + b - mod;
    return a + b;
}

ll binpow(ll a, ll n, int mod) {
    if (n == 0)
        return 1;
    if (n % 2 == 1) {
        return binpow(a, n - 1, mod) * a % mod;
    } else {
        ll b = binpow(a, n / 2, mod);
        return b * b % mod;
    }
}

vector<int> g[N], ng[N];
int pc[N], used[N], sz[N], d[N];

void recalcsz(int v, int p){
    sz[v] = 1;
    for(auto u : g[v]){
        if(u != p && !used[u]){
            recalcsz(u, v);
            sz[v] += sz[u];
        }
    }
}

int getcentroid(int v, int p, int wh){
    for(auto u : g[v]){
        if(u != p && !used[u] && sz[u] > (wh / 2))
            return getcentroid(u, v, wh);
    }
    return v;
}

void decompose(int v, int p, int dp = 1){
    pc[v] = p;
    used[v] = 1;
    d[v] = dp;
    for(auto u : g[v]){
        if(!used[u]){
            recalcsz(u, -1);
            int c = getcentroid(u, -1, sz[u]);
            decompose(c, v, dp + 1);
        }
    }
}

unordered_map<int, pii> mp[N], mp1[N];
string s = "";

int ans;
vector<int> dfs1(int v){
    vector<int> vs[sz(ng[v])];
    unordered_map<int, int> mpp;
    vector<int> ret = {v};
    for(int i = 0; i < sz(ng[v]); i++){
        vs[i] = dfs1(ng[v][i]);
        for(auto u : vs[i]){
            ret.pb(u);
            if(mp[u][v].S >= 0){
                if(s[v] == ')' && mp[u][v].F == 1)
                    ans++;
                ans += mpp[-mp[u][v].F];
            }
        }
        for(auto u : vs[i]){
            if(mp1[v][u].S >= mp1[v][u].F){
                mpp[mp1[v][u].F]++;
                if(mp1[v][u].F == 0)
                    ans++;
            }
        }
    }

    mpp.clear();
    for(int i = sz(ng[v]) - 1; i >= 0; i--){
        for(auto u : vs[i]){
            if(mp[u][v].S >= 0){
                ans += mpp[-mp[u][v].F];
            }
        }
        for(auto u : vs[i]){
            if(mp1[v][u].S >= mp1[v][u].F)
                mpp[mp1[v][u].F]++;
        }
    }
    return ret;
}

void nudela(int v, int p, int r, int c, int mn){
    if(s[v] == '(')
        c++;
    else
        c--;
    mn = min(mn, c);
    mp1[r][v] = {c, mn};
    for(auto u : g[v]){
        if(u != p && d[u] > d[r])
            nudela(u, v, r, c, mn);
    }
}

void neveroyatno(int v, int p, int r, int ver, int mn){
    if(v != r){
        if(s[v] == '(')
            mn = min(mn + 1, 0LL), ver++;
        else
            mn = min(mn - 1, -1LL), ver--;
        mp[v][r] = {ver, mn};
    }
    for(auto u : g[v]){
        if(d[u] > d[r] && u != p)
            neveroyatno(u, v, r, ver, mn);
    }
}

void solve(){
    int n;
    cin >> n;
    cin >> s;
    s = "@" + s;
    for(int i = 1; i < n; i++){
        int u, v;
        cin >> u >> v;
        g[u].pb(v);
        g[v].pb(u);
    }
    recalcsz(1, -1);
    int c = getcentroid(1, -1, sz[1]);
    decompose(c, -1);
    for(int i = 1; i <= n; i++)
        ng[pc[i]].pb(i);
    for(int i = 1; i <= n; i++)
        nudela(i, -1, i, 0, 0);
    for(int i = 1; i <= n; i++)
        neveroyatno(i, -1, i, 0, 0);
    /*for(int i = 1; i <= n; i++)
        cout << d[i] << ' ';
    //cout << '\n';
    for(auto e : mp){
        //cout << e.F.F << ' ' << e.F.S << ' ' << e.S.F << ' ' << e.S.S << '\n';
    }
    //cout << '\n';
    for(auto e : mp1){
        //cout << e.F.F << ' ' << e.F.S << ' ' << e.S.F << ' ' << e.S.S << '\n';
    }*/
    dfs1(c);
    cout << ans << '\n';
}   

signed main() {
    mispertion;
    int t = 1;
    //cin >> t;
    while(t--){
        solve();
    }
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 53596 KB Output is correct
2 Correct 14 ms 53564 KB Output is correct
3 Correct 15 ms 53340 KB Output is correct
4 Correct 16 ms 53568 KB Output is correct
5 Correct 16 ms 53592 KB Output is correct
6 Correct 15 ms 53596 KB Output is correct
7 Correct 15 ms 53488 KB Output is correct
8 Correct 15 ms 53564 KB Output is correct
9 Correct 15 ms 53336 KB Output is correct
10 Correct 13 ms 53084 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2195 ms 726744 KB Output is correct
2 Correct 2234 ms 732556 KB Output is correct
3 Correct 2080 ms 725676 KB Output is correct
4 Correct 2237 ms 731308 KB Output is correct
5 Correct 2051 ms 725636 KB Output is correct
6 Correct 2147 ms 726860 KB Output is correct
7 Correct 2053 ms 723760 KB Output is correct
8 Correct 2144 ms 726436 KB Output is correct
9 Correct 2092 ms 724284 KB Output is correct
10 Correct 2401 ms 736040 KB Output is correct
11 Correct 2249 ms 723728 KB Output is correct

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 53596 KB Output is correct
2 Correct 14 ms 53564 KB Output is correct
3 Correct 15 ms 53340 KB Output is correct
4 Correct 16 ms 53568 KB Output is correct
5 Correct 16 ms 53592 KB Output is correct
6 Correct 15 ms 53596 KB Output is correct
7 Correct 15 ms 53488 KB Output is correct
8 Correct 15 ms 53564 KB Output is correct
9 Correct 15 ms 53336 KB Output is correct
10 Correct 13 ms 53084 KB Output is correct
11 Correct 2195 ms 726744 KB Output is correct
12 Correct 2234 ms 732556 KB Output is correct
13 Correct 2080 ms 725676 KB Output is correct
14 Correct 2237 ms 731308 KB Output is correct
15 Correct 2051 ms 725636 KB Output is correct
16 Correct 2147 ms 726860 KB Output is correct
17 Correct 2053 ms 723760 KB Output is correct
18 Correct 2144 ms 726436 KB Output is correct
19 Correct 2092 ms 724284 KB Output is correct
20 Correct 2401 ms 736040 KB Output is correct
21 Correct 2249 ms 723728 KB Output is correct
22 Execution timed out 3099 ms 436692 KB Time limit exceeded
23 Halted 0 ms 0 KB -