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Submission #801782

# Submission time Handle Problem Language Result Execution time Memory
801782 2023-08-02T07:38:36 Z GEN 이지후(#10129) Cultivation (JOI17_cultivation) C++17
80 / 100
 2000 ms 4580 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 {
	int cmin, cmax, gap;
	node() {
		cmin = 2e9;
		cmax = -2e9;
		gap = 0;
	}
	node(int pos) {
		cmin = cmax = pos;
		gap = 0;
	}
	node(int fuck1, int fuck2, int 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;
	for (int i = 0; i < sz(event);) {
		int j = i;
		while (j < sz(event) && event[i][0] == event[j][0]) {
			if (event[j][2]) {
				bool prv = (cnt[event[j][1]] > 0);
				cnt[event[j][1]] += event[j][2];
				bool cur = (cnt[event[j][1]] > 0);
				if (prv && !cur) {
					seg.upd(event[j][1], cnt[event[j][1]]);
				} else if (!prv && cur) {
					seg.upd(event[j][1], cnt[event[j][1]]);
				}
			}
			j++;
		}
		if (j == sz(event))
			break;
		lmax = max(lmax, 1ll * seg.tree[1].cmin);
		rmax = max(rmax, c - 1 - seg.tree[1].cmax);
		lrmax = max(lrmax, 1ll * seg.tree[1].gap);
		if (lmax + rmax > 1e17 || lrmax > 1e17)
			return 1e18;
		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 = n - 1; j >= 0; j--) {
			if (a[i][0] + r - 1 - a[j][0] >= ans)
				break;
			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 1 ms 340 KB Output is correct
3 Correct 1 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 1 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 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 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 1 ms 340 KB Output is correct
3 Correct 1 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 1 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 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 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 3 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 724 KB Output is correct
25 Correct 3 ms 468 KB Output is correct
26 Correct 6 ms 984 KB Output is correct
27 Correct 5 ms 984 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 3 ms 984 KB Output is correct
30 Correct 4 ms 984 KB Output is correct
31 Correct 3 ms 984 KB Output is correct
32 Correct 4 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 1 ms 340 KB Output is correct
3 Correct 1 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 1 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 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 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 3 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 724 KB Output is correct
25 Correct 3 ms 468 KB Output is correct
26 Correct 6 ms 984 KB Output is correct
27 Correct 5 ms 984 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 3 ms 984 KB Output is correct
30 Correct 4 ms 984 KB Output is correct
31 Correct 3 ms 984 KB Output is correct
32 Correct 4 ms 984 KB Output is correct
33 Correct 9 ms 724 KB Output is correct
34 Correct 67 ms 984 KB Output is correct
35 Correct 57 ms 984 KB Output is correct
36 Correct 67 ms 984 KB Output is correct
37 Correct 54 ms 984 KB Output is correct
38 Correct 74 ms 984 KB Output is correct
39 Correct 66 ms 984 KB Output is correct
40 Correct 67 ms 984 KB Output is correct
41 Correct 28 ms 724 KB Output is correct
42 Correct 53 ms 984 KB Output is correct
43 Correct 66 ms 984 KB Output is correct
44 Correct 51 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 2 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 2 ms 352 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 2 ms 380 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 368 KB Output is correct
19 Correct 2 ms 340 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 2 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 2 ms 352 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 2 ms 380 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 368 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 25 ms 440 KB Output is correct
22 Correct 55 ms 496 KB Output is correct
23 Correct 156 ms 1032 KB Output is correct
24 Correct 161 ms 1012 KB Output is correct
25 Correct 68 ms 492 KB Output is correct
26 Correct 35 ms 496 KB Output is correct
27 Correct 165 ms 976 KB Output is correct
28 Correct 59 ms 460 KB Output is correct
29 Correct 47 ms 476 KB Output is correct
30 Correct 78 ms 536 KB Output is correct
31 Correct 59 ms 496 KB Output is correct
32 Correct 60 ms 496 KB Output is correct
33 Correct 143 ms 956 KB Output is correct
34 Correct 135 ms 904 KB Output is correct
35 Correct 127 ms 776 KB Output is correct
36 Correct 75 ms 588 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 1 ms 340 KB Output is correct
3 Correct 1 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 1 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 0 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 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 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 3 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 724 KB Output is correct
25 Correct 3 ms 468 KB Output is correct
26 Correct 6 ms 984 KB Output is correct
27 Correct 5 ms 984 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 3 ms 984 KB Output is correct
30 Correct 4 ms 984 KB Output is correct
31 Correct 3 ms 984 KB Output is correct
32 Correct 4 ms 984 KB Output is correct
33 Correct 9 ms 724 KB Output is correct
34 Correct 67 ms 984 KB Output is correct
35 Correct 57 ms 984 KB Output is correct
36 Correct 67 ms 984 KB Output is correct
37 Correct 54 ms 984 KB Output is correct
38 Correct 74 ms 984 KB Output is correct
39 Correct 66 ms 984 KB Output is correct
40 Correct 67 ms 984 KB Output is correct
41 Correct 28 ms 724 KB Output is correct
42 Correct 53 ms 984 KB Output is correct
43 Correct 66 ms 984 KB Output is correct
44 Correct 51 ms 984 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 2 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 2 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 2 ms 340 KB Output is correct
53 Correct 2 ms 352 KB Output is correct
54 Correct 3 ms 340 KB Output is correct
55 Correct 3 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 2 ms 340 KB Output is correct
60 Correct 2 ms 380 KB Output is correct
61 Correct 2 ms 340 KB Output is correct
62 Correct 2 ms 368 KB Output is correct
63 Correct 2 ms 340 KB Output is correct
64 Correct 3 ms 340 KB Output is correct
65 Correct 25 ms 440 KB Output is correct
66 Correct 55 ms 496 KB Output is correct
67 Correct 156 ms 1032 KB Output is correct
68 Correct 161 ms 1012 KB Output is correct
69 Correct 68 ms 492 KB Output is correct
70 Correct 35 ms 496 KB Output is correct
71 Correct 165 ms 976 KB Output is correct
72 Correct 59 ms 460 KB Output is correct
73 Correct 47 ms 476 KB Output is correct
74 Correct 78 ms 536 KB Output is correct
75 Correct 59 ms 496 KB Output is correct
76 Correct 60 ms 496 KB Output is correct
77 Correct 143 ms 956 KB Output is correct
78 Correct 135 ms 904 KB Output is correct
79 Correct 127 ms 776 KB Output is correct
80 Correct 75 ms 588 KB Output is correct
81 Correct 498 ms 824 KB Output is correct
82 Correct 512 ms 852 KB Output is correct
83 Correct 401 ms 832 KB Output is correct
84 Execution timed out 2057 ms 4580 KB Time limit exceeded
85 Halted 0 ms 0 KB -