oj.uz

Submission #219182

# Submission time Handle Problem Language Result Execution time Memory
219182 2020-04-04T06:21:45 Z atoiz Sweeping (JOI20_sweeping) C++14
100 / 100
 5137 ms 115412 KB 
/*input
8 1 8
1 5
4 4 1
2 6
1 2
2 3
4 2 2
2 5
1 1
1 3
*/

#include <iostream>
#include <vector>
#include <algorithm>
#include <cassert>
#include <numeric>

using namespace std;

const int MAXN = 1500007, INF = 1e9 + 8;
int N, M, Q;
pair<int, int> ans[MAXN];
#define x first
#define y second

void minimize(int &x, int y) { x = (x < y ? x : y); }
void maximize(int &x, int y) { x = (x > y ? x : y); }

struct Event
{
	int type, x, id;
} events[MAXN];

struct SegmentTree
{
	int N;
	vector<int> val, lazy;
	
	void init(int _N, int x = -1)
	{
		N = _N;
		val.assign(N << 2, x);
		lazy.assign(N << 2, x);
	}

	void pushdown(int rt)
	{
		if (~lazy[rt]) {
			maximize(val[rt << 1], lazy[rt]);
			maximize(val[rt << 1 | 1], lazy[rt]);
			maximize(lazy[rt << 1], lazy[rt]);
			maximize(lazy[rt << 1 | 1], lazy[rt]);
			lazy[rt] = -1;
		}
	}

	void modify(int l, int r, int x, int rt, int lo, int hi)
	{
		if (hi < l || r < lo) return;
		if (l <= lo && hi <= r) return maximize(val[rt], x), maximize(lazy[rt], x);

		pushdown(rt);
		int md = (lo + hi) >> 1;
		modify(l, r, x, rt << 1, lo, md);
		modify(l, r, x, rt << 1 | 1, md + 1, hi);
	}
	void modify(int l, int r, int x)
	{
		modify(l, r, x, 1, 0, N - 1);
	}

	int get(int i, int rt, int lo, int hi)
	{
		if (lo == hi) return val[rt];
		pushdown(rt);
		int md = (lo + hi) >> 1;
		if (i <= md) return get(i, rt << 1, lo, md);
		else return get(i, rt << 1 | 1, md + 1, hi);
	}
	int get(int i)
	{
		return get(i, 1, 0, N - 1);
	}
} st_h, st_v;

struct DSU
{	
	int N = 0;
	vector<int> dsu, lo, hi;

	void init(int _N)
	{
		N = _N;
		dsu.resize(N), lo.resize(N), hi.resize(N);
		for (int i = 0; i < N; ++i) dsu[i] = -1, lo[i] = i, hi[i] = i + 1;
	}

	int root(int x) { return (dsu[x] < 0 ? x : dsu[x] = root(dsu[x])); }
	void join(int x, int y)
	{
		x = root(x), y = root(y);
		if (x == y) return;
		if (dsu[x] > dsu[y]) swap(x, y);
		dsu[x] += dsu[y];
		dsu[y] = x;
		minimize(lo[x], lo[y]);
		maximize(hi[x], hi[y]);
	}
	pair<int, int> get(int id) { return id = root(id), make_pair(lo[id], hi[id]); }
} dsu;

pair<int, int> cur_pos[MAXN];
vector<int> pos_x, rem, seg_h, seg_v, dusts, group;
vector<pair<int, int>> tmp_pos;
vector<vector<int>> segs_h;
void solve(int lo, int hi)
{
	if (lo == hi) return;
	int mid = (lo + hi) >> 1;
	solve(lo, mid), solve(mid + 1, hi);

	// identify dust IDs
	int from_id = INF, to_id = 0;
	for (int i = lo; i <= mid; ++i) {
		if (events[i].type == 4) {
			minimize(from_id, events[i].id);
			maximize(to_id, events[i].id);
		}
	}
	if (from_id > to_id) return;
	// cout << "\nrange " << lo << ' ' << hi << endl;

	// identify pos_x
	pos_x.clear(), pos_x.push_back(-1);
	for (int i = mid + 1; i <= hi; ++i) {
		if (events[i].type == 2 || events[i].type == 3) {
			pos_x.push_back(events[i].x);		
		}
	}
	sort(pos_x.begin(), pos_x.end()), pos_x.erase(unique(pos_x.begin(), pos_x.end()), pos_x.end());
	auto get_x = [&](int x) -> int { return int(lower_bound(pos_x.begin(), pos_x.end(), x) - pos_x.begin()); };
	int X = (int) pos_x.size();
	pos_x.push_back(N);
	// cout << "pos_x "; for (int x : pos_x) cout << x << ' '; cout << endl;

	// find segments
	rem.assign(hi - mid, -1);
	seg_h.assign(X + 1, -1), seg_v.assign(X + 1, -1);
	st_h.init(X, -1), st_v.init(X, -1);
	segs_h.assign(X + 1, vector<int>(0));
	for (int i = mid + 1; i <= hi; ++i) {
		if (events[i].type == 2) {
			int x = get_x(events[i].x);
			int p = get_x(st_h.get(x));
			if (p == x) continue;
			assert(p < x);

			if (!~seg_h[x]) {
				rem[i - (mid + 1)] = x;
				seg_h[x] = p;
				segs_h[p + 1].push_back(x);
				st_v.modify(p + 1, x, N - events[i].x);
			}
		} else if (events[i].type == 3) {
			int x = get_x(events[i].x);
			int p = get_x(N - st_v.get(x));
			if (p == x) continue;
			assert(p > x);

			if (!~seg_v[x]) {
				rem[i - (mid + 1)] = x;
				seg_v[x] = p;
				st_h.modify(x, p - 1, events[i].x);
			}
		}
	}

	// find dusts
	dusts.resize(to_id - from_id + 1);
	iota(dusts.begin(), dusts.end(), from_id);
	sort(dusts.begin(), dusts.end(), [&](int i, int j) { return cur_pos[i].x < cur_pos[j].x; });

	// sort dusts into dsu groups
	group.assign(to_id - from_id + 1, -1);
	st_v.init(X + 1, 0);
	dsu.init(X);
	vector<int>::iterator dust_it = dusts.begin();
	for (int x = 0; x <= X; ++x) {
		for (int x1 : segs_h[x]) {
			// cout << "horizontal " << x1 << endl;
			st_v.modify(x1 + 1, X, x1);
		}

		for (; dust_it != dusts.end() && cur_pos[*dust_it].x <= pos_x[x]; ++dust_it) {
			int id = *dust_it;
			group[id - from_id] = st_v.get(get_x(N - cur_pos[id].y));
			// cout << "group " << id << ": " << group[id - from_id] << " | " << N - cur_pos[id].y << endl;
		}

		if (~seg_v[x]) {
			// cout << "vertical " << x << ": " << seg_v[x] << endl;
			st_v.modify(x + 1, seg_v[x], x);
		}
	}
	assert(dust_it == dusts.end());

	// calc final pos
	auto get_pos = [&](pair<int, int> pnt, int g) -> pair<int, int> {
		pair<int, int> lim = dsu.get(g);
		maximize(pnt.first, pos_x[lim.first] + 1);
		minimize(pnt.first, pos_x[lim.second]);
		maximize(pnt.second, N - pos_x[lim.second]);
		minimize(pnt.second, N - pos_x[lim.first] - 1);
		return pnt;
	};
	tmp_pos.resize(to_id - from_id + 1);
	for (int i = from_id; i <= to_id; ++i) {
		tmp_pos[i - from_id] = cur_pos[i];
		// cout << cur_pos[i].x << ' ' << cur_pos[i].y << " -> ";
		cur_pos[i] = get_pos(tmp_pos[i - from_id], group[i - from_id]);
		// cout << cur_pos[i].x << ' ' << cur_pos[i].y;
		// auto x = dsu.get(group[i - from_id]); cout << " = " << pos_x[x.x] << ' ' << pos_x[x.y] << endl;
	}

	for (int i = hi; i >= mid + 1; --i) {
		if (events[i].type == 1 && events[i].x >= from_id && events[i].x <= to_id) {
			int dust_id = events[i].x;
			// cout << "ans " << events[i].id << ": " << dust_id << " _ " << tmp_pos[dust_id - from_id].x << ' ' << tmp_pos[dust_id - from_id].y << " -> ";
			cout << flush;
			ans[events[i].id] = get_pos(tmp_pos[dust_id - from_id], group[dust_id - from_id]);
			// cout << ans[events[i].id].x << ' ' << ans[events[i].id].y;
			// auto x = dsu.get(group[dust_id - from_id]); cout << " = " << pos_x[x.x] << ' ' << pos_x[x.y] << endl;
		} else if (~rem[i - (mid + 1)]) {
			int x = rem[i - (mid + 1)];
			// cout << "rem " << i << ": " << x << endl;
			dsu.join(x - 1, x);
		}
	}
}

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	cin >> N >> M >> Q;
	int num_events = 0, num_dusts = 0, num_questions = 0;
	for (int i = 0; i < M; ++i) {
		auto &cur = events[++num_events];
		cur.type = 4;
		cur.id = ++num_dusts;
		cin >> cur_pos[cur.id].first >> cur_pos[cur.id].second;
	}

	for (int i = 0; i < Q; ++i) {
		auto &cur = events[++num_events];
		cin >> cur.type;
		if (cur.type == 1) {
			cin >> cur.x;
			cur.id = ++num_questions;
		} else if (cur.type == 2) {
			cin >> cur.x;
			cur.x = N - cur.x - 1;
		} else if (cur.type == 3) {
			cin >> cur.x;
		} else {
			cur.id = ++num_dusts;
			cin >> cur_pos[cur.id].first >> cur_pos[cur.id].second;
		}
	}

	solve(1, num_events);
	for (int i = 1; i <= num_questions; ++i) {
		cout << ans[i].first << ' ' << ans[i].second << '\n';
	}
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 896 KB Output is correct
2 Correct 13 ms 768 KB Output is correct
3 Correct 10 ms 768 KB Output is correct
4 Correct 13 ms 896 KB Output is correct
5 Correct 19 ms 768 KB Output is correct
6 Correct 7 ms 640 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4320 ms 90112 KB Output is correct
2 Correct 4437 ms 107216 KB Output is correct
3 Correct 4426 ms 107908 KB Output is correct
4 Correct 3344 ms 107672 KB Output is correct
5 Correct 3274 ms 108868 KB Output is correct
6 Correct 2372 ms 104020 KB Output is correct
7 Correct 4363 ms 109132 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1926 ms 112576 KB Output is correct
2 Correct 1940 ms 114052 KB Output is correct
3 Correct 1475 ms 112072 KB Output is correct
4 Correct 1409 ms 111708 KB Output is correct
5 Correct 1888 ms 114276 KB Output is correct
6 Correct 1892 ms 114372 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 1926 ms 112576 KB Output is correct
2 Correct 1940 ms 114052 KB Output is correct
3 Correct 1475 ms 112072 KB Output is correct
4 Correct 1409 ms 111708 KB Output is correct
5 Correct 1888 ms 114276 KB Output is correct
6 Correct 1892 ms 114372 KB Output is correct
7 Correct 2305 ms 115056 KB Output is correct
8 Correct 2361 ms 112976 KB Output is correct
9 Correct 2422 ms 114152 KB Output is correct
10 Correct 1941 ms 112804 KB Output is correct
11 Correct 1869 ms 113312 KB Output is correct
12 Correct 2292 ms 113924 KB Output is correct
13 Correct 2306 ms 113572 KB Output is correct
14 Correct 180 ms 21120 KB Output is correct
15 Correct 1138 ms 66292 KB Output is correct
16 Correct 2288 ms 115412 KB Output is correct
17 Correct 2505 ms 104820 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 896 KB Output is correct
2 Correct 13 ms 768 KB Output is correct
3 Correct 10 ms 768 KB Output is correct
4 Correct 13 ms 896 KB Output is correct
5 Correct 19 ms 768 KB Output is correct
6 Correct 7 ms 640 KB Output is correct
7 Correct 4320 ms 90112 KB Output is correct
8 Correct 4437 ms 107216 KB Output is correct
9 Correct 4426 ms 107908 KB Output is correct
10 Correct 3344 ms 107672 KB Output is correct
11 Correct 3274 ms 108868 KB Output is correct
12 Correct 2372 ms 104020 KB Output is correct
13 Correct 4363 ms 109132 KB Output is correct
14 Correct 1926 ms 112576 KB Output is correct
15 Correct 1940 ms 114052 KB Output is correct
16 Correct 1475 ms 112072 KB Output is correct
17 Correct 1409 ms 111708 KB Output is correct
18 Correct 1888 ms 114276 KB Output is correct
19 Correct 1892 ms 114372 KB Output is correct
20 Correct 2305 ms 115056 KB Output is correct
21 Correct 2361 ms 112976 KB Output is correct
22 Correct 2422 ms 114152 KB Output is correct
23 Correct 1941 ms 112804 KB Output is correct
24 Correct 1869 ms 113312 KB Output is correct
25 Correct 2292 ms 113924 KB Output is correct
26 Correct 2306 ms 113572 KB Output is correct
27 Correct 180 ms 21120 KB Output is correct
28 Correct 1138 ms 66292 KB Output is correct
29 Correct 2288 ms 115412 KB Output is correct
30 Correct 2505 ms 104820 KB Output is correct
31 Correct 3711 ms 95600 KB Output is correct
32 Correct 4507 ms 108916 KB Output is correct
33 Correct 4486 ms 106180 KB Output is correct
34 Correct 5090 ms 105080 KB Output is correct
35 Correct 5137 ms 106604 KB Output is correct
36 Correct 3795 ms 105728 KB Output is correct
37 Correct 3569 ms 106572 KB Output is correct
38 Correct 4626 ms 107380 KB Output is correct
39 Correct 4602 ms 107240 KB Output is correct
40 Correct 4681 ms 108948 KB Output is correct