oj.uz

Submission #1069178

# Submission time Handle Problem Language Result Execution time Memory
1069178 2024-08-21T17:03:58 Z 0npata Tiles (BOI24_tiles) C++17
40 / 100
 257 ms 143964 KB 
#include<bits/stdc++.h>
using namespace std;

#define int long long
#define vec vector
#define arr array

const int INF = 1e17;

struct SegNode {
	int size = 0;
	int cnt_one = 0;
	arr<int, 2> pref_cnt{0, 0};
	arr<int, 2> suf_cnt{0, 0};
	bool valid = true;

	bool valid_all() {
		return valid && ((pref_cnt[0] % 2) + (pref_cnt[1] % 2) + (suf_cnt[0] % 2) + (suf_cnt[1] % 2) == 0);
	}

	void debug() {
		//cerr << size << ' ' << cnt_one  << ' ' << pref_cnt[0] << ' ' << pref_cnt[1] <<' ' << valid << '\n';
	}


	SegNode merge(SegNode other) {
		arr<int, 2> pref_cnt_n;
		arr<int, 2> suf_cnt_n;
		bool valid_n = valid & other.valid;

		assert(pref_cnt[0] == 0 || pref_cnt[1] == 0);
		assert(suf_cnt[0] == 0 || suf_cnt[1] == 0);

		if(size+other.size == cnt_one+other.cnt_one || 0 == cnt_one+other.cnt_one) {
			pref_cnt_n = {pref_cnt[0]+other.pref_cnt[0], pref_cnt[1]+other.pref_cnt[1]};
			suf_cnt_n = pref_cnt_n;
		}
		else {
			pref_cnt_n = pref_cnt;
			suf_cnt_n = other.suf_cnt;
			arr<int, 2> mid_cnt = {suf_cnt[0]+other.pref_cnt[0], suf_cnt[1]+other.pref_cnt[1]};
			valid &= (mid_cnt[0] % 2 == 0) & (mid_cnt[1] % 2 == 0);
		}

		return {size + other.size, cnt_one+other.cnt_one, pref_cnt_n, suf_cnt_n, valid_n};
	}


	SegNode invert() {
		return {size, size-cnt_one, {pref_cnt[1], pref_cnt[0]}, {suf_cnt[1], suf_cnt[0]}, valid};
	}
};

struct SegTree {
	int n;
	vec<SegNode> data;
	vec<bool> lazy;

	SegTree(int n_i) {
		n = 1;
		while(n < n_i) n*= 2;
		data = vec<SegNode>(n*2);
		for(int i = n; i<n*2; i++) {
			data[i].size = 1;
			data[i].pref_cnt = {1, 0};
			data[i].suf_cnt = {1, 0};
		}
		for(int i = n-1; i>=1; i--) {
			data[i] = data[i*2].merge(data[i*2+1]);
		}
		lazy = vec<bool>(n*2);
	}

	void push(int i) {
		if(!lazy[i]) {
			return;
		}
		lazy[i] = false;
		data[i] = data[i].invert();
		if(i*2 > n*2) {
			return;
		}
		lazy[i*2] = !lazy[i*2];
		lazy[i*2+1] = !lazy[i*2+1];
	}

	SegNode _query(int l, int r, int ti, int tl, int tr) {
		push(ti);
		if(tl >= r || tr <= l) {
			return {};
		}
		if(tl >= l && tr <= r) {
			return data[ti];
		}
		int tm = (tl+tr)/2;
		return _query(l, r, ti*2, tl, tm).merge(_query(l, r, ti*2+1, tm, tr));
	}

	SegNode query(int l, int r) {
		return _query(l, r, 1, 0, n);
	}

	void _invert(int l, int r, int ti, int tl, int tr) {
		push(ti);
		if(tl >= r || tr <= l) {
			return;
		}
		if(l <= tl && r >= tr) {
			lazy[ti] = true;
			push(ti);
			return;
		}

		int tm = (tl+tr)/2;
		_invert(l, r, ti*2, tl, tm);
		_invert(l, r, ti*2+1, tm, tr);
		data[ti] = data[ti*2].merge(data[ti*2+1]);
	}

	void invert(int l, int r) {
		_invert(l, r, 1, 0, n);
	}

};

int32_t main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);

	int N, M;
	cin >> N >> M;


	vec<pair<int, int>> ps(N);
	vec<int> ys(N);
	for(int i = 0; i<N; i++) {
		cin >> ps[i].first >> ps[i].second;
		ys[i] = ps[i].second;
	}

	SegTree st(N*3);

	sort(ys.begin(), ys.end());
	map<int, int> ycompr;
	int sub = ys[0];

	for(int i = 0; i<ys.size(); i++) {
		if(i>0) {
			int diff = ys[i]-ys[i-1];
			if(diff > 0) {
				sub += diff;
				sub -= 2;
				sub += diff%2;
			}
		}
		ycompr[ys[i]] = ys[i]-sub;
	}

	for(int i = 0; i<N; i++) ps[i].second = ycompr[ps[i].second];

	map<int, vec<pair<int, int>>> versegs;

	for(int i = 0; i<N; i++) {
		if(ps[i].first == ps[(i+1)%N].first) {
			versegs[ps[i].first].push_back({min(ps[i].second, ps[(i+1)%N].second), max(ps[i].second, ps[(i+1)%N].second)});
		}
	}


 	int ans = M;

	map<int, pair<int, int>> actsegs;

	auto handlerectangle = [&](int l, int r, int u, int d) {
		if(r-l == 0) return;
		auto node = st.query(d, u);
		node.debug();
		if(!node.valid_all()) {
			ans = min(ans, l - (node.cnt_one > 0));
		}
		else {
			assert((u-d) % 2 == 0);
		}

		if((r-l) % 2) st.invert(d, u);
	};

	for(auto [x, versegs_x] : versegs) {
		for(auto verseg : versegs_x) {
			auto actseg_u_it = actsegs.upper_bound(verseg.first);
			if(actseg_u_it != actsegs.begin()) {
				auto actseg_d_it = actseg_u_it;
				actseg_d_it--;
				auto actseg_d = *actseg_d_it;
				if(actseg_d.first <= verseg.first && actseg_d.second.first > verseg.first) {
					assert(actseg_d.second.first >= verseg.second);
					// removal
					actsegs.erase(actseg_d.first);
					if(verseg.first > actseg_d.first) {
						actsegs.insert({actseg_d.first, {verseg.first, x}});
					}
					if(verseg.second < actseg_d.second.first) {
						actsegs.insert({verseg.second, {actseg_d.second.first, x}});
					}
					handlerectangle(actseg_d.second.second, x, actseg_d.second.first, actseg_d.first);
					if(st.query(verseg.first, verseg.second).cnt_one != 0) {
						ans = min(ans, x-1);
					}
					continue;
				}
			}

			// we haven't removed anything, maybe we are touchign tho
			actseg_u_it = actsegs.upper_bound(verseg.first);
			if(actseg_u_it != actsegs.end()) {
				auto actseg_u = *actseg_u_it;
				assert(actseg_u.first >= verseg.second);
				if(actseg_u.first == verseg.second) {
					actsegs.erase(actseg_u.first);
					handlerectangle(actseg_u.second.second, x, actseg_u.second.first, actseg_u.first);
					verseg.second = actseg_u.second.first;
				}
			}
			actseg_u_it = actsegs.upper_bound(verseg.first);
			if(actseg_u_it != actsegs.begin()) {
				auto actseg_d_it = actseg_u_it;
				actseg_d_it--;
				auto actseg_d = *actseg_d_it;
				assert(actseg_d.second.first <= verseg.first);
				if(actseg_d.second.first == verseg.first) {
					actsegs.erase(actseg_d.first);
					handlerectangle(actseg_d.second.second, x, actseg_d.second.first, actseg_d.first);
					verseg.first = actseg_d.first;
				}
			}

			actsegs.insert({verseg.first, {verseg.second, x}});
		}
	}

	cout << ans << '\n';
}

Compilation message

Main.cpp: In function 'int32_t main()':
Main.cpp:147:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |  for(int i = 0; i<ys.size(); i++) {
      |                 ~^~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct

Subtask #2
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Halted 0 ms 0 KB -

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1368 KB Output is correct
2 Correct 29 ms 18732 KB Output is correct
3 Correct 187 ms 140368 KB Output is correct
4 Correct 79 ms 70744 KB Output is correct
5 Correct 82 ms 70736 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 188 ms 141336 KB Output is correct
9 Correct 95 ms 72784 KB Output is correct
10 Correct 209 ms 141324 KB Output is correct
11 Correct 74 ms 69592 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 183 ms 141340 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 460 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct

Subtask #4
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 1372 KB Output is correct
5 Incorrect 100 ms 121988 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #5
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 82 ms 68972 KB Output is correct
3 Correct 82 ms 68844 KB Output is correct
4 Incorrect 101 ms 123540 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #6
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 173 ms 136532 KB Output is correct
2 Correct 83 ms 70736 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 175 ms 141140 KB Output is correct
5 Correct 1 ms 600 KB Output is correct
6 Correct 111 ms 126548 KB Output is correct
7 Correct 2 ms 1368 KB Output is correct
8 Correct 257 ms 139036 KB Output is correct
9 Correct 127 ms 126288 KB Output is correct
10 Correct 219 ms 137808 KB Output is correct
11 Correct 163 ms 141396 KB Output is correct
12 Correct 227 ms 141212 KB Output is correct
13 Correct 124 ms 126052 KB Output is correct
14 Correct 119 ms 126032 KB Output is correct
15 Correct 127 ms 126036 KB Output is correct
16 Correct 227 ms 143964 KB Output is correct
17 Correct 223 ms 143904 KB Output is correct
18 Correct 242 ms 143952 KB Output is correct
19 Correct 81 ms 69332 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 193 ms 141220 KB Output is correct
22 Correct 99 ms 72788 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 93 ms 69344 KB Output is correct
37 Correct 107 ms 123728 KB Output is correct
38 Correct 107 ms 123952 KB Output is correct
39 Correct 122 ms 123416 KB Output is correct
40 Correct 100 ms 123480 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 1436 KB Output is correct

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Halted 0 ms 0 KB -