oj.uz

Submission #370149

# Submission time Handle Problem Language Result Execution time Memory
370149 2021-02-23T12:17:19 Z Return_0 Zagrade (COI17_zagrade) C++17
100 / 100
 718 ms 40044 KB 
// #pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;

#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()

cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;

template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
	out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;

cl N = 3e5 + 7;

ll a [N], sz [N], arr1 [N], arr2 [N], cnt [N], L1, L2, R1, R2, n;
vector <ll> adj [N];
bool hide [N];
long long ans;

ll plant (cl &v, cl &pr = -1) {
	sz[v] = 1;
	for (auto &u : adj[v]) if (!hide[u] && u != pr) sz[v] += plant(u, v);
	return sz[v];
}

inline ll find_centroid (ll v, cl &_n, ll pr = -1) {
	for (ll i = 0; i < SZ(adj[v]); i++) if (sz[adj[v][i]] << 1 > _n && !hide[adj[v][i]] && adj[v][i] != pr)
		pr = v, v = adj[v][i], i = -1;
	return v;
}

void dfs (ll v, ll pr, ll df = 0, ll psf = 0, ll nsf  = 0) {
	df += a[v];
	if (a[v] < 0) nsf--;
	else if (nsf < 0) nsf++;
	if (a[v] > 0) psf++;
	else if (psf > 0) psf--;
	if (!nsf) arr1[R1++] = abs(df);
	if (!psf) arr2[R2++] = abs(df);
	for (auto &u : adj[v]) if (!hide[u] && u != pr) dfs(u, v, df, psf, nsf);
}

long long calc (ll v) {
	long long ret = 0;
	for (ll i = L2; i < R2; i++) cnt[arr2[i]]++;
	for (ll i = L1, x; i < R1; i++) {
		x = arr1[i] + a[v];
		if (x >= 0) ret += cnt[x];
	}
	for (ll i = L2; i < R2; i++) cnt[arr2[i]]--;
	return ret;
}

void centroid_decomposition (ll v = 1) {
	v = find_centroid(v, plant(v));
	arr1[0] = arr2[0] = 0;
	L1 = L2 = R1 = R2 = 1;
	
	for (auto &u : adj[v]) if (!hide[u]) {
		dfs(u, v);
		ans -= calc(v);
		L1 = R1, L2 = R2;
	}

	L1 = L2 = 0;
	ans += calc(v);

	hide[v] = 1;
	for (auto &u : adj[v]) if (!hide[u]) centroid_decomposition(u);
}

int main ()
{
	ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	cin>> n;
	for (ll i = 1; i <= n; i++) {
		char c; cin>> c;
		a[i] = (c == '(' ? +1 : -1);
	}

	for (ll i = 1, v, u; i < n; i++) {
		cin>> v >> u;
		adj[v].push_back(u);
		adj[u].push_back(v);
	}

	centroid_decomposition();
	cout<< ans << endl;

	return 0;
}
/*

*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 6 ms 7404 KB Output is correct
4 Correct 6 ms 7404 KB Output is correct
5 Correct 6 ms 7404 KB Output is correct
6 Correct 7 ms 7404 KB Output is correct
7 Correct 7 ms 7424 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 6 ms 7404 KB Output is correct
10 Correct 6 ms 7404 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 315 ms 38252 KB Output is correct
2 Correct 340 ms 39404 KB Output is correct
3 Correct 327 ms 38380 KB Output is correct
4 Correct 349 ms 39020 KB Output is correct
5 Correct 321 ms 38388 KB Output is correct
6 Correct 320 ms 38488 KB Output is correct
7 Correct 318 ms 38252 KB Output is correct
8 Correct 319 ms 38508 KB Output is correct
9 Correct 324 ms 38380 KB Output is correct
10 Correct 331 ms 39916 KB Output is correct
11 Correct 321 ms 39368 KB Output is correct

Subtask #3
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 6 ms 7404 KB Output is correct
4 Correct 6 ms 7404 KB Output is correct
5 Correct 6 ms 7404 KB Output is correct
6 Correct 7 ms 7404 KB Output is correct
7 Correct 7 ms 7424 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 6 ms 7404 KB Output is correct
10 Correct 6 ms 7404 KB Output is correct
11 Correct 315 ms 38252 KB Output is correct
12 Correct 340 ms 39404 KB Output is correct
13 Correct 327 ms 38380 KB Output is correct
14 Correct 349 ms 39020 KB Output is correct
15 Correct 321 ms 38388 KB Output is correct
16 Correct 320 ms 38488 KB Output is correct
17 Correct 318 ms 38252 KB Output is correct
18 Correct 319 ms 38508 KB Output is correct
19 Correct 324 ms 38380 KB Output is correct
20 Correct 331 ms 39916 KB Output is correct
21 Correct 321 ms 39368 KB Output is correct
22 Correct 685 ms 20356 KB Output is correct
23 Correct 718 ms 20460 KB Output is correct
24 Correct 683 ms 20332 KB Output is correct
25 Correct 697 ms 20440 KB Output is correct
26 Correct 373 ms 25744 KB Output is correct
27 Correct 355 ms 23148 KB Output is correct
28 Correct 365 ms 21868 KB Output is correct
29 Correct 323 ms 40044 KB Output is correct
30 Correct 346 ms 40044 KB Output is correct
31 Correct 104 ms 21728 KB Output is correct
32 Correct 322 ms 39532 KB Output is correct