Submission #419188

# Submission time Handle Problem Language Result Execution time Memory
419188 2021-06-06T14:13:35 Z Kevin_Zhang_TW Cultivation (JOI17_cultivation) C++17
65 / 100
2000 ms 1456 KB
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif

const int MAX_N = 305;

#define int ll
const int inf = 1ll << 55;
int R, C, n;
vector<pair<int,int>> loc;

bool can_cover(int ul, int dl, int al, int bl) {

	vector<vector<int>> pf_sum(50, vector<int> (50) );
	for (auto [x, y] : loc) {
		int A = y - ul, B = y + dl;
		int C = x - bl, D = x + al;
		chmax(A, 1ll);
		chmax(C, 1ll);
		chmin(D, R);
		chmin(B, ::C);
		++pf_sum[C][A];
		--pf_sum[D+1][A];
		--pf_sum[C][B+1];
		++pf_sum[D+1][B+1];
	}

	for (int i = 1;i <= R;++i) {
		for (int j = 1;j <= C;++j) {
			pf_sum[i][j] += pf_sum[i-1][j] + pf_sum[i][j-1] - pf_sum[i-1][j-1];
			if (pf_sum[i][j] == 0) return false;
		}
	}
	return true;
}

int cal_up(int ul) {
	int dnmn = 0;
	{
		vector<int> ys;
		for (auto [x, y] : loc)
			ys.pb(y - ul);
		sort(AI(ys));
		int lst_end = 0;
		for (int y : ys) {
			chmax(dnmn, y - 1 - lst_end);
			lst_end = y + ul;
		}
		chmax(dnmn, C - lst_end);
	}

	vector<vector<tuple<int,int,int>>> must;
	vector<tuple<int,int,int>> op2;
	vector<int> sep;

	sep.reserve(n * n * 5);


	DE(ul);
	auto all_op = [&]() {
		must.pb();
		must.reserve(n * n * 5);
		sort(AI(loc));

		bool sig = must.size() == 2;

		for (int i = 0;i < n;++i) {
			auto [x, y] = loc[i];

			auto segmx = [&](int l, int r, int v) {
				chmax(l, dnmn);
				chmin(r, C);
				if (l > r) return;

				sep.pb(l), sep.pb(r+1);
				op2.pb(l, r+1, v - x - 1);
			};
			auto allmx = [&](int l, int r, int v) {
				chmax(l, dnmn);
				chmin(r, C);
				if (l > r) return;

				sep.pb(l), sep.pb(r+1);
				must.back().pb(l, r+1, v - x - 1);
			};

			set<int> ys;
			ys.insert(-inf);
			ys.insert(inf);

			int nl = 1, nr = C;
			for (int j = i+1;j < n;++j) {
				auto [cx, cy] = loc[j];
				if (cx == x) continue;

				if (cy <= y) chmax(nl, cy + 1);
				if (cy >= y) chmin(nr, cy - ul - 1);
				if (sig) continue;

				auto it = ys.lower_bound(cy);
				int ly = *prev(it), ry = *it;  ys.insert(cy);
				int s = 0, e = min(C - ly - 1, (ry - ul - 1) - ly - 1);
				if (cy >= y) chmax(s, cy - ul - y);
				else chmax(s, y - ul - cy);
				if (y <= ly || ry <= y || s > e || ry == cy || ry - ul <= 1) continue;
				segmx(s, e, cx);
			}

			if (nl > nr) continue;
			if (nl == 1) allmx(0, C, R + 1);
			else if (nl <= nr) allmx(0, nr - nl, R + 1);
		}
   	};

	all_op();
	for (auto &[x, y] : loc) 
		x = R - x + 1;

	all_op();
	for (auto &[x, y] : loc) 
		x = R - x + 1;

	sep.pb(C+1);

	sort(AI(sep)); sep.erase(unique(AI(sep)), end(sep));

	priority_queue<pair<int,int>> pq, pq2[2];
	pq.emplace(0, inf);
	pq2[0].emplace(0, inf);
	pq2[1].emplace(0, inf);

	sort(AI(op2));

	sort(AI(must[0]));
	sort(AI(must[1]));

	int h{}, h2[2]{};

	int res = inf;
	for (int i = 0;i+1 < sep.size();++i) {
		int M = sep[i];
		auto add_in = [&](auto &pq, auto &op, int &i) {
			for (;i < op.size();++i) {
				auto [l, r, v] = op[i];
				if (l > M) break;
				pq.emplace(v, r);
			}
		};
		auto pops = [&](auto &pq) -> ll{
			while (pq.top().second <= sep[i])
				pq.pop();
			return pq.top().first;
			//return pq.size() ? pq.top().first : 0;
		};

		add_in(pq, op2, h);
		add_in(pq2[0], must[0], h2[0]);
		add_in(pq2[1], must[1], h2[1]);

		chmin(res, sep[i] + ul + 
				max(pops(pq), pops(pq2[0]) + pops(pq2[1])));

	}
	return res;
}
int brute() {
	int res = inf;
	for (int ul = 0;ul <= C;++ul) for (int dl = 0;dl <= C;++dl) {
		int A = R, B = R;
		while (A > 0 && can_cover(ul, dl, A-1, B)) --A;
		while (B > 0 && can_cover(ul, dl, A, B-1)) --B;
		if (can_cover(ul, dl, A, B)) {
			if (chmin(res, ul + dl + A + B))
				DE(ul, dl, A, B);
		}
	}
	return res;
}

int32_t main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> R >> C >> n; loc.resize(n);
	for (auto &[x, y] : loc) {
		cin >> x >> y;
	}
	sort(AI(loc));

	int res = inf;

	vector<int> ys;
	for (auto [x, y] : loc) ys.pb(y);



	for (int y : ys) {
		chmin(res, cal_up(y - 1));
	}

	cout << res << '\n';
}

Compilation message

cultivation.cpp: In function 'll cal_up(ll)':
cultivation.cpp:15:17: warning: statement has no effect [-Wunused-value]
   15 | #define DE(...) 0
      |                 ^
cultivation.cpp:73:2: note: in expansion of macro 'DE'
   73 |  DE(ul);
      |  ^~
cultivation.cpp:154:21: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  154 |  for (int i = 0;i+1 < sep.size();++i) {
      |                 ~~~~^~~~~~~~~~~~
cultivation.cpp: In instantiation of 'cal_up(ll)::<lambda(auto:23&, auto:24&, ll&)> [with auto:23 = std::priority_queue<std::pair<long long int, long long int> >; auto:24 = std::vector<std::tuple<long long int, long long int, long long int> >; ll = long long int]':
cultivation.cpp:170:20:   required from here
cultivation.cpp:157:12: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::tuple<long long int, long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  157 |    for (;i < op.size();++i) {
      |          ~~^~~~~~~~~~~
cultivation.cpp: In function 'll brute()':
cultivation.cpp:15:17: warning: statement has no effect [-Wunused-value]
   15 | #define DE(...) 0
      |                 ^
cultivation.cpp:188:5: note: in expansion of macro 'DE'
  188 |     DE(ul, dl, A, B);
      |     ^~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 18 ms 332 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 2 ms 332 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 420 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 453 ms 532 KB Output is correct
25 Correct 209 ms 440 KB Output is correct
26 Correct 1308 ms 560 KB Output is correct
27 Correct 1300 ms 572 KB Output is correct
28 Correct 441 ms 580 KB Output is correct
29 Correct 1307 ms 664 KB Output is correct
30 Correct 1349 ms 588 KB Output is correct
31 Correct 1373 ms 568 KB Output is correct
32 Correct 1360 ms 572 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 18 ms 332 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 2 ms 332 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 420 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 453 ms 532 KB Output is correct
25 Correct 209 ms 440 KB Output is correct
26 Correct 1308 ms 560 KB Output is correct
27 Correct 1300 ms 572 KB Output is correct
28 Correct 441 ms 580 KB Output is correct
29 Correct 1307 ms 664 KB Output is correct
30 Correct 1349 ms 588 KB Output is correct
31 Correct 1373 ms 568 KB Output is correct
32 Correct 1360 ms 572 KB Output is correct
33 Correct 1483 ms 1456 KB Output is correct
34 Correct 1598 ms 480 KB Output is correct
35 Execution timed out 2084 ms 636 KB Time limit exceeded
36 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 204 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 204 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 2 ms 204 KB Output is correct
9 Correct 2 ms 204 KB Output is correct
10 Correct 2 ms 332 KB Output is correct
11 Correct 2 ms 204 KB Output is correct
12 Correct 2 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 2 ms 204 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 3 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 204 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 204 KB Output is correct
5 Correct 2 ms 332 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 2 ms 204 KB Output is correct
9 Correct 2 ms 204 KB Output is correct
10 Correct 2 ms 332 KB Output is correct
11 Correct 2 ms 204 KB Output is correct
12 Correct 2 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 2 ms 204 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 3 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 86 ms 384 KB Output is correct
22 Correct 86 ms 332 KB Output is correct
23 Correct 87 ms 332 KB Output is correct
24 Correct 85 ms 388 KB Output is correct
25 Correct 100 ms 388 KB Output is correct
26 Correct 59 ms 332 KB Output is correct
27 Correct 62 ms 348 KB Output is correct
28 Correct 89 ms 392 KB Output is correct
29 Correct 101 ms 536 KB Output is correct
30 Correct 87 ms 332 KB Output is correct
31 Correct 86 ms 400 KB Output is correct
32 Correct 86 ms 380 KB Output is correct
33 Correct 58 ms 340 KB Output is correct
34 Correct 103 ms 476 KB Output is correct
35 Correct 69 ms 376 KB Output is correct
36 Correct 86 ms 388 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 18 ms 332 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 2 ms 332 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 420 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 453 ms 532 KB Output is correct
25 Correct 209 ms 440 KB Output is correct
26 Correct 1308 ms 560 KB Output is correct
27 Correct 1300 ms 572 KB Output is correct
28 Correct 441 ms 580 KB Output is correct
29 Correct 1307 ms 664 KB Output is correct
30 Correct 1349 ms 588 KB Output is correct
31 Correct 1373 ms 568 KB Output is correct
32 Correct 1360 ms 572 KB Output is correct
33 Correct 1483 ms 1456 KB Output is correct
34 Correct 1598 ms 480 KB Output is correct
35 Execution timed out 2084 ms 636 KB Time limit exceeded
36 Halted 0 ms 0 KB -