Submission #420673

#	Time	Username	Problem	Language	Result	Execution time	Memory
420673		Return_0	Bridges (APIO19_bridges)	C++17	100 / 100	2602 ms	130668 KiB

bridges

#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")

#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 = 50'003, M = 100'003, SQ = 1000;

ll V [M], U [M], W [M], T [M], X [M], Y [M], ans [M], par [N], sz [N], n, m, q, lst;
vector <ll> query, upd, nupd, vec [M];
vector <ll> his;
bool mark [M];

inline ll root (ll v) {
	for (; par[v]; v = par[v]);
	return v;
}

inline bool unite (ll v, ll u) {
	v = root(v); u = root(u);
	if (v == u) return false;
	if (sz[v] < sz[u]) swap(v, u);
	par[u] = v; sz[v] += sz[u];
	his.push_back(u);
	return true;
}

inline void undo (ll x) {
	for (; x--; his.pop_back()) {
		ll &v = his.back();
		sz[par[v]] -= sz[v];
		par[v] = 0;
	}
}

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

	cin>> n >> m;
	for (ll i = 1; i <= m; i++) cin>> V[i] >> U[i] >> W[i];
	cin>> q;
	for (ll i = 1; i <= q; i++) cin>> T[i] >> X [i] >> Y [i];

	for (ll l = 1, r; l <= q; l += SQ) {
		memset(par, 0, sizeof par);
		fill(sz + 1, sz + n + 1, 1);
		query.clear(); upd.clear(); nupd.clear(); his.clear();
		r = min(l + SQ, q + 1);

		for (ll i = l; i < r; i++) {
			if (T[i] == 1) {
				mark[X[i]] = 1;
				upd.push_back(X[i]);
			} else query.push_back(i);
		}
	
		for (ll i = 1; i <= m; i++) { if (!mark[i]) nupd.push_back(i); else mark[i] = false; }
		for (ll i = l; i < r; i++) {
			if (T[i] == 1) W[X[i]] = Y[i];
			else for (auto &id : upd) if (W[id] >= Y[i]) vec[i].push_back(id);
		}

		sort(All(query), [&](cl &i, cl &j) { return Y[i] > Y[j]; });
		sort(All(nupd), [&](cl &i, cl &j) { return W[i] > W[j]; });
		lst = 0; for (auto &id : query) {
			for (; lst < SZ(nupd) && W[nupd[lst]] >= Y[id]; lst++) unite(V[nupd[lst]], U[nupd[lst]]);
			ll sv = SZ(his);
			for (auto &e : vec[id]) unite(V[e], U[e]);
			ans[id] = sz[root(X[id])];
			undo(SZ(his) - sv);
		}
	}

	for (ll i = 1; i <= q; i++) if (T[i] == 2) cout<< ans[i] << '\n';

	cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";

	return 0;
}
/*
3 4
1 2 5
2 3 2
3 1 4
2 3 8
5
2 1 5
1 4 1
2 2 5
1 1 1
2 3 2

7 8
1 2 5
1 6 5
2 3 5
2 7 5
3 4 5
4 5 5
5 6 5
6 7 5
12
2 1 6
1 1 1
2 1 2
1 2 3
2 2 2
1 5 2
1 3 1
2 2 4
2 4 2
1 8 1
2 1 1
2 1 3

*/

• Subtask 1: 13 / 13
• Subtask 2: 16 / 16
• Subtask 3: 17 / 17
• Subtask 4: 14 / 14
• Subtask 5: 13 / 13
• Subtask 6: 27 / 27