답안 #587807

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
587807 2022-07-02T11:41:07 Z 8e7 Reconstruction Project (JOI22_reconstruction) C++17
10 / 100
4220 ms 28336 KB
//Challenge: Accepted
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...);}
template<class T> void pary(T l, T r) {
	while (l != r) cout << *l << " ", l++;
	cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 505
#define maxm 100005
#define maxq 1000005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const int inf = 1<<30;
struct edge{
	int u, v, w, id;
	edge(){u = v = w = id = 0;}
	edge(int a, int b, int c, int d){u = a, v = b, w = c, id = d;}
};

struct DSU{
	int par[maxn], siz[maxn];	
	vector<pii> op;
	void init(int n) {
		for (int i = 1;i <= n;i++) par[i] = i, siz[i] = 1;
	}
	int find(int a) {
		return a == par[a] ? a : (find(par[a]));
	}
	bool Union(int a, int b) {
		a = find(a), b = find(b);
		if (a == b) {
			op.push_back({0, 0});
			return 0;
		}
		if (siz[a] < siz[b]) swap(a, b);
		siz[a] += siz[b];
		par[b] = a;
		op.push_back({a, b});
		return 1;
	}
	void undo(int x) {
		while (x--) {
			assert(op.size() > 0);	
			int a = op.back().ff, b = op.back().ss;
			if (a) {
				siz[a] -= siz[b];
				par[b] = b;
			}
			op.pop_back();
		}
	}
} dsu;
vector<int> wei;
pii ran[maxm];

void solve(int l, int r, vector<edge> ed, vector<edge> lef, vector<edge> rig) {
	int m = (l + r) / 2;
	vector<edge> el, er, l0, r0, e1, l1, r1;

	int tot = ed.size() + lef.size() + rig.size();
	if (tot == 0) return;
	/*
	debug(l, r);
	for (auto e:ed) debug(e.id);
	debug();
	for (auto e:lef) debug(e.id);
	debug();
	for (auto e:rig) debug(e.id);
	debug("pick");
	*/

	auto cmp = [&] (edge &x, edge &y){
		return abs(x.w - m) < abs(y.w - m);
	};
	sort(ed.begin(), ed.end(), cmp);
	sort(lef.begin(), lef.end(), cmp);
	sort(rig.begin(), rig.end(), cmp);
	int s0 = ed.size(), s1 = lef.size(), s2 = rig.size();
	int i0 = 0, i1 = 0, i2 = 0;	
	for (int tmp = 0;tmp < tot;tmp++) {
		int mi = (i0 < s0 ? 0 : (i1 < s1 ? 1 : 2));
		edge cur = i0 < s0 ? ed[i0] : (i1 < s1 ? lef[i1] : rig[i2]);	
		if (i1 < s1 && cmp(lef[i1], cur)) {
			cur = lef[i1], mi = 1;
		}
		if (i2 < s2 && cmp(rig[i2], cur)) {
			cur = rig[i2], mi = 2;
		}
		if (mi == 0) {
			i0++;
			if (dsu.Union(cur.u, cur.v)) e1.push_back(cur);
			else if (cur.w <= m) el.push_back(cur);
			else er.push_back(cur);
		} else if (mi == 1) {
			i1++;
			if (dsu.Union(cur.u, cur.v)) l1.push_back(cur);
			else l0.push_back(cur);
		} else {
			i2++;
			if (dsu.Union(cur.u, cur.v)) r1.push_back(cur);
			else r0.push_back(cur);
		}
	}
	dsu.undo(tot);

	for (auto e:e1) ran[e.id] = {m, m+1};
	for (auto e:l1) ran[e.id].ff = m;
	for (auto e:l0) ran[e.id].ff = r;
	for (auto e:r1) ran[e.id].ss = m+1;
	for (auto e:r0) ran[e.id].ss = l;
	if (r - l == 1) return;

	vector<edge> tr = r1, tl = l1;
	tr.insert(tr.end(), e1.begin(), e1.end());
	tl.insert(tl.end(), e1.begin(), e1.end());

	int cnt = l1.size();
	for (auto e:l1) dsu.Union(e.u, e.v);
	solve(m+1, r, er, l0, tr);
	dsu.undo(cnt);
	
	cnt = r1.size();
	for (auto e:r1) dsu.Union(e.u, e.v);
	solve(l, m, el, tl, r0);
	dsu.undo(cnt);
}
bool on[maxm];
int main() {
	io
	int n, m;
	cin >> n >> m;
	vector<edge> ed, inil, inir;
	for (int i = 0;i < m;i++) {
		int u, v, w;
		cin >> u >> v >> w;
		wei.push_back(w);
		ed.push_back(edge(u, v, w, i));	
	}
	sort(ed.begin(), ed.end(), [&] (edge x, edge y){return x.w < y.w;});
	for (int i = 0;i < m;i++) ed[i].id = i;
	sort(wei.begin(), wei.end());
	dsu.init(n);
	solve(1, inf, ed, inil, inir);

	vector<pii> ev;
	for (int i = 0;i < m;i++) {
		//debug(ed[i].u, ed[i].v, ed[i].w, ran[i].ff, ran[i].ss);
		if (ran[i].ff) {
			ev.push_back({ran[i].ff, i});
			ev.push_back({ran[i].ss, i});
		}
	}
	sort(ev.begin(), ev.end());
 
	int q;
	cin >> q;
	vector<int> que(q);
	multiset<int> se;

	int ind = 0;
	for (int i = 0;i < q;i++) {
		cin >> que[i];
		while (ind < ev.size() && ev[ind].ff <= que[i]) {
			if (!on[ev[ind].ss]) {
				se.insert(wei[ev[ind].ss]);
				on[ev[ind].ss] = 1;
			} else {
				se.erase(se.find(wei[ev[ind].ss]));
			}
			ind++;
		}
		assert(se.size() == n - 1);
		ll ans = 0;
		for (int j:se) ans += abs(j - que[i]);
		cout << ans << "\n";
	}
	//for (int i = m - 1;i >= 0;i--) debug(ed[i].u, ed[i].v, ed[i].w);
 
}

Compilation message

reconstruction.cpp: In function 'int main()':
reconstruction.cpp:174:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  174 |   while (ind < ev.size() && ev[ind].ff <= que[i]) {
      |          ~~~~^~~~~~~~~~~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from reconstruction.cpp:2:
reconstruction.cpp:183:20: warning: comparison of integer expressions of different signedness: 'std::multiset<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  183 |   assert(se.size() == n - 1);
      |          ~~~~~~~~~~^~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 752 ms 12280 KB Output is correct
21 Correct 795 ms 12188 KB Output is correct
22 Correct 733 ms 12568 KB Output is correct
23 Correct 761 ms 12256 KB Output is correct
24 Correct 741 ms 12228 KB Output is correct
25 Correct 778 ms 12244 KB Output is correct
26 Correct 744 ms 12152 KB Output is correct
27 Correct 747 ms 12484 KB Output is correct
28 Incorrect 471 ms 12528 KB Output isn't correct
29 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 3718 ms 27696 KB Output is correct
5 Correct 3832 ms 26516 KB Output is correct
6 Correct 4220 ms 26332 KB Output is correct
7 Correct 4019 ms 28156 KB Output is correct
8 Correct 3733 ms 28196 KB Output is correct
9 Correct 3208 ms 28288 KB Output is correct
10 Correct 3792 ms 27932 KB Output is correct
11 Correct 3485 ms 28336 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2820 ms 17568 KB Output is correct
21 Correct 2950 ms 17760 KB Output is correct
22 Correct 3166 ms 17636 KB Output is correct
23 Correct 3118 ms 17564 KB Output is correct
24 Correct 3150 ms 17420 KB Output is correct
25 Correct 3067 ms 17636 KB Output is correct
26 Correct 3028 ms 17580 KB Output is correct
27 Incorrect 2907 ms 17704 KB Output isn't correct
28 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 752 ms 12280 KB Output is correct
21 Correct 795 ms 12188 KB Output is correct
22 Correct 733 ms 12568 KB Output is correct
23 Correct 761 ms 12256 KB Output is correct
24 Correct 741 ms 12228 KB Output is correct
25 Correct 778 ms 12244 KB Output is correct
26 Correct 744 ms 12152 KB Output is correct
27 Correct 747 ms 12484 KB Output is correct
28 Incorrect 471 ms 12528 KB Output isn't correct
29 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 752 ms 12280 KB Output is correct
21 Correct 795 ms 12188 KB Output is correct
22 Correct 733 ms 12568 KB Output is correct
23 Correct 761 ms 12256 KB Output is correct
24 Correct 741 ms 12228 KB Output is correct
25 Correct 778 ms 12244 KB Output is correct
26 Correct 744 ms 12152 KB Output is correct
27 Correct 747 ms 12484 KB Output is correct
28 Incorrect 471 ms 12528 KB Output isn't correct
29 Halted 0 ms 0 KB -