oj.uz

Submission #419181

# Submission time Handle Problem Language Result Execution time Memory
419181 2021-06-06T14:09:48 Z Kevin_Zhang_TW Cultivation (JOI17_cultivation) C++17
65 / 100
 2000 ms 1620 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;

	DE(ul);
	auto all_op = [&]() {
		must.pb();
		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:69:2: note: in expansion of macro 'DE'
   69 |  DE(ul);
      |  ^~
cultivation.cpp:147:21: 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]
  147 |  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:162:20:   required from here
cultivation.cpp:150:12: 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]
  150 |    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:180:5: note: in expansion of macro 'DE'
  180 |     DE(ul, dl, A, B);
      |     ^~

Subtask #1
5.0 / 5.0

# 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 0 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 1 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 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

Subtask #2
10.0 / 10.0

# 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 0 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 1 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 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 17 ms 356 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 392 KB Output is correct
23 Correct 4 ms 332 KB Output is correct
24 Correct 427 ms 452 KB Output is correct
25 Correct 195 ms 380 KB Output is correct
26 Correct 1231 ms 504 KB Output is correct
27 Correct 1251 ms 712 KB Output is correct
28 Correct 415 ms 420 KB Output is correct
29 Correct 1268 ms 532 KB Output is correct
30 Correct 1287 ms 584 KB Output is correct
31 Correct 1269 ms 556 KB Output is correct
32 Correct 1303 ms 536 KB Output is correct

Subtask #3
0 / 15.0

# 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 0 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 1 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 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 17 ms 356 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 392 KB Output is correct
23 Correct 4 ms 332 KB Output is correct
24 Correct 427 ms 452 KB Output is correct
25 Correct 195 ms 380 KB Output is correct
26 Correct 1231 ms 504 KB Output is correct
27 Correct 1251 ms 712 KB Output is correct
28 Correct 415 ms 420 KB Output is correct
29 Correct 1268 ms 532 KB Output is correct
30 Correct 1287 ms 584 KB Output is correct
31 Correct 1269 ms 556 KB Output is correct
32 Correct 1303 ms 536 KB Output is correct
33 Correct 1552 ms 1620 KB Output is correct
34 Correct 1515 ms 420 KB Output is correct
35 Correct 1967 ms 636 KB Output is correct
36 Execution timed out 2072 ms 700 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #4
30.0 / 30.0

# 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 204 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 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 204 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 204 KB Output is correct
16 Correct 2 ms 204 KB Output is correct
17 Correct 2 ms 204 KB Output is correct
18 Correct 2 ms 204 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct

Subtask #5
20.0 / 20.0

# 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 204 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 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 204 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 204 KB Output is correct
16 Correct 2 ms 204 KB Output is correct
17 Correct 2 ms 204 KB Output is correct
18 Correct 2 ms 204 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 86 ms 376 KB Output is correct
22 Correct 81 ms 392 KB Output is correct
23 Correct 81 ms 356 KB Output is correct
24 Correct 81 ms 340 KB Output is correct
25 Correct 87 ms 392 KB Output is correct
26 Correct 58 ms 348 KB Output is correct
27 Correct 64 ms 332 KB Output is correct
28 Correct 99 ms 392 KB Output is correct
29 Correct 81 ms 332 KB Output is correct
30 Correct 83 ms 332 KB Output is correct
31 Correct 80 ms 400 KB Output is correct
32 Correct 81 ms 384 KB Output is correct
33 Correct 56 ms 332 KB Output is correct
34 Correct 80 ms 344 KB Output is correct
35 Correct 66 ms 340 KB Output is correct
36 Correct 95 ms 452 KB Output is correct

Subtask #6
0 / 20.0

# 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 0 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 1 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 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 17 ms 356 KB Output is correct
19 Correct 2 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 108 ms 392 KB Output is correct
23 Correct 4 ms 332 KB Output is correct
24 Correct 427 ms 452 KB Output is correct
25 Correct 195 ms 380 KB Output is correct
26 Correct 1231 ms 504 KB Output is correct
27 Correct 1251 ms 712 KB Output is correct
28 Correct 415 ms 420 KB Output is correct
29 Correct 1268 ms 532 KB Output is correct
30 Correct 1287 ms 584 KB Output is correct
31 Correct 1269 ms 556 KB Output is correct
32 Correct 1303 ms 536 KB Output is correct
33 Correct 1552 ms 1620 KB Output is correct
34 Correct 1515 ms 420 KB Output is correct
35 Correct 1967 ms 636 KB Output is correct
36 Execution timed out 2072 ms 700 KB Time limit exceeded
37 Halted 0 ms 0 KB -