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Submission #801763

# Submission time Handle Problem Language Result Execution time Memory
801763 2023-08-02T07:31:16 Z GEN 이지후(#10129) Cultivation (JOI17_cultivation) C++17
80 / 100
 2000 ms 4604 KB 
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXT = 1050;

vector<lint> cy;

struct node {
	lint cmin, cmax, gap;
	node() {
		cmin = 1e18;
		cmax = -1e18;
		gap = 0;
	}
	node(lint pos) {
		cmin = cmax = pos;
		gap = 0;
	}
	node(lint fuck1, lint fuck2, lint fuck3) {
		cmin = fuck1;
		cmax = fuck2;
		gap = fuck3;
	}
	node operator+(const node &nd) {
		if (cmax < 0)
			return nd;
		if (nd.cmax < 0)
			return *this;
		return node(min(cmin, nd.cmin), max(cmax, nd.cmax), max({gap, nd.gap, nd.cmin - cmax - 1}));
	}
};

struct seg {
	node tree[MAXT];
	int lim;
	void init(int sz) {
		for (lim = 1; lim <= sz; lim <<= 1)
			;
		fill(tree, tree + MAXT, node());
	}
	void upd(int x, int cnt) {
		if (cnt == 0)
			tree[x + lim] = node();
		else
			tree[x + lim] = node(cy[x]);
		x += lim;
		while (x > 1) {
			x >>= 1;
			tree[x] = tree[2 * x] + tree[2 * x + 1];
		}
	}
} seg;

int cnt[1557];
pi dq[3][1557];
int fr[3], ed[3];

lint sumFixed(lint r, lint c, lint g, vector<pi> a) {
	vector<array<lint, 3>> e1, e2, event;
	e1.push_back({0, -1, 0});
	for (auto &[x, y] : a) {
		e1.push_back({x, y, +1});
		e2.push_back({x + 1 + g, y, -1});
	}
	e2.push_back({r + g, -1, 0});
	event.resize(sz(e1) + sz(e2));
	merge(all(e1), all(e2), event.begin());
	vector<array<lint, 5>> chop;
	for (int i = 0; i < sz(event);) {
		int j = i;
		while (j < sz(event) && event[i][0] == event[j][0]) {
			if (event[j][2]) {
				cnt[event[j][1]] += event[j][2];
				seg.upd(event[j][1], cnt[event[j][1]]);
			}
			j++;
		}
		if (j == sz(event))
			break;
		lint lmax = seg.tree[1].cmin, rmax = c - 1 - seg.tree[1].cmax, lrmax = seg.tree[1].gap;
		chop.push_back({event[i][0], event[j][0], lmax, rmax, lrmax});
		i = j;
	}
	int k = 0;
	memset(fr, 0, sizeof(fr));
	memset(ed, 0, sizeof(ed));
	lint ans = 1e18;
	for (int i = 0; i < sz(chop); i++) {
		if (chop[i][0] > g)
			break;
		while (k < sz(chop) && chop[k][0] < chop[i][0] + r) {
			for (int t = 0; t < 3; t++) {
				pi val = {chop[k][t + 2], chop[k][1]};
				while (fr[t] < ed[t] && dq[t][ed[t] - 1][0] <= val[0])
					ed[t]--;
				dq[t][ed[t]++] = val;
			}
			k++;
		}
		lint dap[3] = {0, 0, 0};
		for (int t = 0; t < 3; t++) {
			while (fr[t] < ed[t] && dq[t][fr[t]][1] <= chop[i][0])
				fr[t]++;
			dap[t] = dq[t][fr[t]][0];
		}
		ans = min(ans, max(dap[0] + dap[1], dap[2]));
	}
	return ans;
}

map<pi, lint> mp;
// abandon
lint solve(lint r, lint c, lint dl, lint dr, vector<pi> a) {
	if (mp.count({dl, dr}))
		return mp[pi{dl, dr}];
	vector<array<lint, 3>> e1, e2, event;
	for (auto &[x, y] : a) {
		int l = max(0ll, x - dl);
		int e = min(r * 1ll, x + 1 + dr);
		e1.push_back({l, y, +1});
		e2.push_back({e, y, -1});
	}
	event.resize(sz(e1) + sz(e2));
	merge(all(e1), all(e2), event.begin());
	if (event[0][0] != 0 || event.back()[0] != r)
		return mp[pi{dl, dr}] = 1e18;

	lint lmax = 0, rmax = 0, lrmax = 0;
	multiset<lint> s;
	for (int i = 0; i < sz(event);) {
		int j = i;
		while (j < sz(event) && event[i][0] == event[j][0]) {
			if (event[j][2]) {
				cnt[event[j][1]] += event[j][2];
				seg.upd(event[j][1], cnt[event[j][1]]);
			}
			j++;
		}
		if (j == sz(event))
			break;
		lmax = max(lmax, seg.tree[1].cmin);
		rmax = max(rmax, c - 1 - seg.tree[1].cmax);
		lrmax = max(lrmax, seg.tree[1].gap);
		i = j;
	}
	return mp[pi{dl, dr}] = max(lmax + rmax, lrmax);
}

// n^3 log n

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n, r, c;
	cin >> r >> c >> n;
	vector<pi> a(n);
	for (auto &[x, y] : a)
		cin >> x >> y, x--, y--;
	sort(all(a));
	lint ans = 1e18;
	vector<lint> gaps = {0};
	for (int i = 0; i < n; i++) {
		cy.push_back(a[i][1]);
		for (int j = i + 1; j < n; j++) {
			if (a[j][0] > a[i][0])
				gaps.push_back(a[j][0] - a[i][0] - 1);
		}
	}
	sort(all(cy));
	cy.resize(unique(all(cy)) - cy.begin());
	for (int i = 0; i < n; i++) {
		a[i][1] = lower_bound(all(cy), a[i][1]) - cy.begin();
	}
	seg.init(sz(cy));
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			ans = min(ans, a[i][0] + r - 1 - a[j][0] + solve(r, c, a[i][0], r - 1 - a[j][0], a));
		}
	}
	sort(all(gaps));
	gaps.resize(unique(all(gaps)) - gaps.begin());
	for (auto &dy : gaps) {
		if (ans > dy)
			ans = min(ans, sumFixed(r, c, dy, a) + dy);
	}
	cout << ans << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 448 KB Output is correct
22 Correct 17 ms 468 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 31 ms 724 KB Output is correct
25 Correct 23 ms 468 KB Output is correct
26 Correct 54 ms 984 KB Output is correct
27 Correct 53 ms 984 KB Output is correct
28 Correct 29 ms 724 KB Output is correct
29 Correct 51 ms 984 KB Output is correct
30 Correct 56 ms 984 KB Output is correct
31 Correct 53 ms 984 KB Output is correct
32 Correct 54 ms 984 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 448 KB Output is correct
22 Correct 17 ms 468 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 31 ms 724 KB Output is correct
25 Correct 23 ms 468 KB Output is correct
26 Correct 54 ms 984 KB Output is correct
27 Correct 53 ms 984 KB Output is correct
28 Correct 29 ms 724 KB Output is correct
29 Correct 51 ms 984 KB Output is correct
30 Correct 56 ms 984 KB Output is correct
31 Correct 53 ms 984 KB Output is correct
32 Correct 54 ms 984 KB Output is correct
33 Correct 10 ms 724 KB Output is correct
34 Correct 60 ms 984 KB Output is correct
35 Correct 70 ms 984 KB Output is correct
36 Correct 73 ms 984 KB Output is correct
37 Correct 60 ms 984 KB Output is correct
38 Correct 69 ms 984 KB Output is correct
39 Correct 66 ms 984 KB Output is correct
40 Correct 65 ms 984 KB Output is correct
41 Correct 28 ms 724 KB Output is correct
42 Correct 50 ms 984 KB Output is correct
43 Correct 70 ms 984 KB Output is correct
44 Correct 62 ms 984 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 412 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 3 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 3 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 348 KB Output is correct
20 Correct 3 ms 340 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 412 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 3 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 3 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 3 ms 348 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 97 ms 864 KB Output is correct
22 Correct 134 ms 1016 KB Output is correct
23 Correct 155 ms 984 KB Output is correct
24 Correct 153 ms 996 KB Output is correct
25 Correct 140 ms 1056 KB Output is correct
26 Correct 61 ms 712 KB Output is correct
27 Correct 164 ms 1052 KB Output is correct
28 Correct 147 ms 1060 KB Output is correct
29 Correct 130 ms 996 KB Output is correct
30 Correct 142 ms 1048 KB Output is correct
31 Correct 136 ms 1032 KB Output is correct
32 Correct 142 ms 1008 KB Output is correct
33 Correct 141 ms 1052 KB Output is correct
34 Correct 151 ms 968 KB Output is correct
35 Correct 157 ms 996 KB Output is correct
36 Correct 156 ms 1052 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 448 KB Output is correct
22 Correct 17 ms 468 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 31 ms 724 KB Output is correct
25 Correct 23 ms 468 KB Output is correct
26 Correct 54 ms 984 KB Output is correct
27 Correct 53 ms 984 KB Output is correct
28 Correct 29 ms 724 KB Output is correct
29 Correct 51 ms 984 KB Output is correct
30 Correct 56 ms 984 KB Output is correct
31 Correct 53 ms 984 KB Output is correct
32 Correct 54 ms 984 KB Output is correct
33 Correct 10 ms 724 KB Output is correct
34 Correct 60 ms 984 KB Output is correct
35 Correct 70 ms 984 KB Output is correct
36 Correct 73 ms 984 KB Output is correct
37 Correct 60 ms 984 KB Output is correct
38 Correct 69 ms 984 KB Output is correct
39 Correct 66 ms 984 KB Output is correct
40 Correct 65 ms 984 KB Output is correct
41 Correct 28 ms 724 KB Output is correct
42 Correct 50 ms 984 KB Output is correct
43 Correct 70 ms 984 KB Output is correct
44 Correct 62 ms 984 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 3 ms 340 KB Output is correct
47 Correct 3 ms 340 KB Output is correct
48 Correct 3 ms 412 KB Output is correct
49 Correct 4 ms 340 KB Output is correct
50 Correct 2 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 3 ms 348 KB Output is correct
53 Correct 2 ms 340 KB Output is correct
54 Correct 3 ms 340 KB Output is correct
55 Correct 3 ms 340 KB Output is correct
56 Correct 3 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 2 ms 340 KB Output is correct
59 Correct 2 ms 340 KB Output is correct
60 Correct 3 ms 340 KB Output is correct
61 Correct 3 ms 340 KB Output is correct
62 Correct 2 ms 340 KB Output is correct
63 Correct 3 ms 348 KB Output is correct
64 Correct 3 ms 340 KB Output is correct
65 Correct 97 ms 864 KB Output is correct
66 Correct 134 ms 1016 KB Output is correct
67 Correct 155 ms 984 KB Output is correct
68 Correct 153 ms 996 KB Output is correct
69 Correct 140 ms 1056 KB Output is correct
70 Correct 61 ms 712 KB Output is correct
71 Correct 164 ms 1052 KB Output is correct
72 Correct 147 ms 1060 KB Output is correct
73 Correct 130 ms 996 KB Output is correct
74 Correct 142 ms 1048 KB Output is correct
75 Correct 136 ms 1032 KB Output is correct
76 Correct 142 ms 1008 KB Output is correct
77 Correct 141 ms 1052 KB Output is correct
78 Correct 151 ms 968 KB Output is correct
79 Correct 157 ms 996 KB Output is correct
80 Correct 156 ms 1052 KB Output is correct
81 Correct 1525 ms 3640 KB Output is correct
82 Correct 1494 ms 3560 KB Output is correct
83 Correct 1933 ms 4604 KB Output is correct
84 Execution timed out 2082 ms 4564 KB Time limit exceeded
85 Halted 0 ms 0 KB -