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Submission #894975

# Submission time Handle Problem Language Result Execution time Memory
894975 2023-12-29T10:12:37 Z vjudge1 Zagrade (COI17_zagrade) C++17
40 / 100
 3000 ms 737324 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;
    for(int i = 1; i <= n; i++){
        int c = rand() % 2;
        if(c)
            s += "(";
        else
            s += ")";
    }
    cin >> s;
    s = "@" + s;
    for(int i = 1; i < n; i++){
        int u = i, v = i + 1;
        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 15 ms 53596 KB Output is correct
2 Correct 14 ms 53576 KB Output is correct
3 Correct 14 ms 53340 KB Output is correct
4 Correct 14 ms 53512 KB Output is correct
5 Correct 14 ms 53340 KB Output is correct
6 Correct 15 ms 53596 KB Output is correct
7 Correct 15 ms 53384 KB Output is correct
8 Correct 14 ms 53340 KB Output is correct
9 Correct 17 ms 53852 KB Output is correct
10 Correct 13 ms 53336 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2025 ms 724968 KB Output is correct
2 Correct 2159 ms 728808 KB Output is correct
3 Correct 1965 ms 723940 KB Output is correct
4 Correct 2121 ms 729268 KB Output is correct
5 Correct 1965 ms 726296 KB Output is correct
6 Correct 2105 ms 726180 KB Output is correct
7 Correct 1955 ms 723464 KB Output is correct
8 Correct 2057 ms 726084 KB Output is correct
9 Correct 1957 ms 725692 KB Output is correct
10 Correct 2335 ms 737324 KB Output is correct
11 Correct 2110 ms 723676 KB Output is correct

Subtask #3
0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 53596 KB Output is correct
2 Correct 14 ms 53576 KB Output is correct
3 Correct 14 ms 53340 KB Output is correct
4 Correct 14 ms 53512 KB Output is correct
5 Correct 14 ms 53340 KB Output is correct
6 Correct 15 ms 53596 KB Output is correct
7 Correct 15 ms 53384 KB Output is correct
8 Correct 14 ms 53340 KB Output is correct
9 Correct 17 ms 53852 KB Output is correct
10 Correct 13 ms 53336 KB Output is correct
11 Correct 2025 ms 724968 KB Output is correct
12 Correct 2159 ms 728808 KB Output is correct
13 Correct 1965 ms 723940 KB Output is correct
14 Correct 2121 ms 729268 KB Output is correct
15 Correct 1965 ms 726296 KB Output is correct
16 Correct 2105 ms 726180 KB Output is correct
17 Correct 1955 ms 723464 KB Output is correct
18 Correct 2057 ms 726084 KB Output is correct
19 Correct 1957 ms 725692 KB Output is correct
20 Correct 2335 ms 737324 KB Output is correct
21 Correct 2110 ms 723676 KB Output is correct
22 Execution timed out 3121 ms 439896 KB Time limit exceeded
23 Halted 0 ms 0 KB -