Submission #419183

# Submission time Handle Problem Language Result Execution time Memory
419183 2021-06-06T14:11:25 Z Kevin_Zhang_TW Cultivation (JOI17_cultivation) C++17
65 / 100
2000 ms 1436 KB
#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];

	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.size() && pq.top().second <= sep[i])
				pq.pop();
			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:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
cultivation.cpp:72:2: note: in expansion of macro 'DE'
   72 |  DE(ul);
      |  ^~
cultivation.cpp:150:21: 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]
  150 |  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:165:20:   required from here
cultivation.cpp:153:12: 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]
  153 |    for (;i < op.size();++i) {
      |          ~~^~~~~~~~~~~
cultivation.cpp: In function 'll brute()':
cultivation.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
cultivation.cpp:183:5: note: in expansion of macro 'DE'
  183 |     DE(ul, dl, A, B);
      |     ^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 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 0 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 1 ms 204 KB Output is correct
11 Correct 1 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 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 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 1 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 0 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 1 ms 204 KB Output is correct
11 Correct 1 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 1 ms 204 KB Output is correct
15 Correct 1 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 1 ms 204 KB Output is correct
21 Correct 8 ms 332 KB Output is correct
22 Correct 102 ms 428 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 423 ms 488 KB Output is correct
25 Correct 192 ms 440 KB Output is correct
26 Correct 1246 ms 692 KB Output is correct
27 Correct 1268 ms 680 KB Output is correct
28 Correct 416 ms 480 KB Output is correct
29 Correct 1268 ms 564 KB Output is correct
30 Correct 1312 ms 592 KB Output is correct
31 Correct 1292 ms 572 KB Output is correct
32 Correct 1278 ms 576 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 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 0 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 1 ms 204 KB Output is correct
11 Correct 1 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 1 ms 204 KB Output is correct
15 Correct 1 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 1 ms 204 KB Output is correct
21 Correct 8 ms 332 KB Output is correct
22 Correct 102 ms 428 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 423 ms 488 KB Output is correct
25 Correct 192 ms 440 KB Output is correct
26 Correct 1246 ms 692 KB Output is correct
27 Correct 1268 ms 680 KB Output is correct
28 Correct 416 ms 480 KB Output is correct
29 Correct 1268 ms 564 KB Output is correct
30 Correct 1312 ms 592 KB Output is correct
31 Correct 1292 ms 572 KB Output is correct
32 Correct 1278 ms 576 KB Output is correct
33 Correct 1432 ms 1436 KB Output is correct
34 Correct 1494 ms 544 KB Output is correct
35 Correct 1956 ms 652 KB Output is correct
36 Execution timed out 2076 ms 668 KB Time limit exceeded
37 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 332 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 204 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 2 ms 332 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 332 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 204 KB Output is correct
16 Correct 2 ms 204 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 2 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 332 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 204 KB Output is correct
6 Correct 2 ms 332 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 2 ms 332 KB Output is correct
9 Correct 2 ms 332 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 332 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 204 KB Output is correct
16 Correct 2 ms 204 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 2 ms 332 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 79 ms 332 KB Output is correct
22 Correct 81 ms 332 KB Output is correct
23 Correct 81 ms 332 KB Output is correct
24 Correct 78 ms 428 KB Output is correct
25 Correct 83 ms 392 KB Output is correct
26 Correct 57 ms 400 KB Output is correct
27 Correct 61 ms 332 KB Output is correct
28 Correct 81 ms 332 KB Output is correct
29 Correct 84 ms 424 KB Output is correct
30 Correct 83 ms 412 KB Output is correct
31 Correct 82 ms 332 KB Output is correct
32 Correct 80 ms 396 KB Output is correct
33 Correct 55 ms 344 KB Output is correct
34 Correct 77 ms 356 KB Output is correct
35 Correct 66 ms 332 KB Output is correct
36 Correct 82 ms 396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 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 0 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 1 ms 204 KB Output is correct
11 Correct 1 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 1 ms 204 KB Output is correct
15 Correct 1 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 1 ms 204 KB Output is correct
21 Correct 8 ms 332 KB Output is correct
22 Correct 102 ms 428 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 423 ms 488 KB Output is correct
25 Correct 192 ms 440 KB Output is correct
26 Correct 1246 ms 692 KB Output is correct
27 Correct 1268 ms 680 KB Output is correct
28 Correct 416 ms 480 KB Output is correct
29 Correct 1268 ms 564 KB Output is correct
30 Correct 1312 ms 592 KB Output is correct
31 Correct 1292 ms 572 KB Output is correct
32 Correct 1278 ms 576 KB Output is correct
33 Correct 1432 ms 1436 KB Output is correct
34 Correct 1494 ms 544 KB Output is correct
35 Correct 1956 ms 652 KB Output is correct
36 Execution timed out 2076 ms 668 KB Time limit exceeded
37 Halted 0 ms 0 KB -