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Submission #823545

# Submission time Handle Problem Language Result Execution time Memory
823545 2023-08-12T17:28:43 Z vjudge1 Rectangles (IOI19_rect) C++17
100 / 100
 2023 ms 577320 KB 
#include<bits/stdc++.h>
#include "rect.h"

using namespace std;
using ll = long long;

const int M = (1 << 13);
int t[2 * M];

void update(int pos, int val) {
	for(t[pos += M] += val; pos > 1; pos >>= 1) 
		t[pos >> 1] = t[pos] + t[(pos ^ 1)];
}
int get(int ql, int qr) {
	int sum = 0;
	for(ql += M, qr += M + 1; ql < qr; ql >>= 1, qr >>= 1) {
		if(ql & 1) sum += t[ql++];
		if(qr & 1) sum += t[--qr];
	}
	return sum;
}

// O(nlogn)
vector<pair<int, int>> get_segments(vector<int> a) {
	int n = (int)a.size();
	
	vector<pair<int, int>> res;
	vector<int> st;
	for(int i = 0; i < n; i++) {
		while(!st.empty() && a[st.back()] < a[i]) {
			if(i - st.back() > 1) res.push_back({st.back() + 1, i - 1});
			st.pop_back();
		} 
		if(!st.empty()) {
			if(i - st.back() > 1) res.push_back({st.back() + 1, i - 1});
			if(a[st.back()] == a[i]) st.pop_back();
		}
		st.push_back(i);
	}
	return res;	
}

const int N = 2505;

struct segment {
	int l, d;
};

vector<segment> h[N][N], g[N][N];

ll count_rectangles(vector<vector<int>> a) {
	int n = (int)a.size(), m = (int)a[0].size();
	if(n < 3 || m < 3) return 0;
	for(int i = 0; i < n; i++) {
		vector<pair<int, int>> s = get_segments(a[i]);
		for(auto [l, r] : s) 
			g[i][r].push_back({l, 0});
	}
	for(int i = 0; i < m; i++) {
		vector<int> b;
		for(int j = 0; j < n; j++) 
			b.push_back(a[j][i]);
		vector<pair<int, int>> s = get_segments(b);
		for(auto [l, r] : s) 
			h[r][i].push_back({l, 0});
	}
	for(int i = 0; i < n; i++) {
		int cnt[n] = {};
		bool us[n] = {};
		for(int j = 0; j < m; j++) {
			if(!j) {
				for(auto c : h[i][j]) 
					cnt[c.l]++;
			} else {
				for(auto c : h[i][j])
					us[c.l] = 1;
				for(auto c : h[i][j - 1])
					if(!us[c.l]) cnt[c.l] = 0;
				
				for(auto c : h[i][j]) {
					cnt[c.l]++;
					us[c.l] = 0;
				}
			}
			for(auto &c : h[i][j]) {
				c.d = cnt[c.l];
			}
		}
	}
	for(int i = 0; i < m; i++) {
		int cnt[m] = {};
		bool us[m] = {};
		for(int j = 0; j < n; j++) {
			if(!j) {
				for(auto c : g[j][i]) 
					cnt[c.l]++;
			} else {
				for(auto c : g[j][i]) 
					us[c.l] = 1;
				for(auto c : g[j - 1][i]) 
					if(!us[c.l]) 
						cnt[c.l] = 0;
				for(auto c : g[j][i]) {
					cnt[c.l]++;
					us[c.l] = 0;
				}
			}
			for(auto &c : g[j][i])
				c.d = cnt[c.l];
		}
	}
	ll ans = 0;
	for(int i = 0; i < n; i++) {
		for(int j = 0; j < m; j++) {
			sort(g[i][j].begin(), g[i][j].end(), [](segment x, segment y) {return x.l < y.l;});
			sort(h[i][j].begin(), h[i][j].end(), [](segment x, segment y) {return x.d > y.d;});
			int h_l = 0;
			for(segment cur : g[i][j]) {
				while(h_l < (int)h[i][j].size() && j - h[i][j][h_l].d < cur.l) {
					update(h[i][j][h_l++].l, +1);
				} 
				ans += get(i - cur.d + 1, i);
			}
			while(h_l > 0) 
				update(h[i][j][--h_l].l, -1);
		}
	}
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 294968 KB Output is correct
2 Correct 122 ms 294960 KB Output is correct
3 Correct 124 ms 294964 KB Output is correct
4 Correct 122 ms 294972 KB Output is correct
5 Correct 123 ms 294956 KB Output is correct
6 Correct 121 ms 295020 KB Output is correct
7 Correct 122 ms 294944 KB Output is correct
8 Correct 137 ms 295008 KB Output is correct
9 Correct 122 ms 295028 KB Output is correct
10 Correct 136 ms 294988 KB Output is correct
11 Correct 121 ms 294936 KB Output is correct
12 Correct 124 ms 294976 KB Output is correct
13 Correct 119 ms 294988 KB Output is correct
14 Correct 127 ms 294944 KB Output is correct
15 Correct 122 ms 295004 KB Output is correct
16 Correct 121 ms 294980 KB Output is correct
17 Correct 122 ms 294956 KB Output is correct
18 Correct 122 ms 294956 KB Output is correct
19 Correct 124 ms 294976 KB Output is correct
20 Correct 123 ms 294924 KB Output is correct
21 Correct 123 ms 294928 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 294968 KB Output is correct
2 Correct 122 ms 294960 KB Output is correct
3 Correct 124 ms 294964 KB Output is correct
4 Correct 122 ms 294972 KB Output is correct
5 Correct 123 ms 294956 KB Output is correct
6 Correct 121 ms 295020 KB Output is correct
7 Correct 122 ms 294944 KB Output is correct
8 Correct 137 ms 295008 KB Output is correct
9 Correct 122 ms 295028 KB Output is correct
10 Correct 136 ms 294988 KB Output is correct
11 Correct 121 ms 294936 KB Output is correct
12 Correct 124 ms 294976 KB Output is correct
13 Correct 119 ms 294988 KB Output is correct
14 Correct 127 ms 294944 KB Output is correct
15 Correct 122 ms 295004 KB Output is correct
16 Correct 121 ms 294980 KB Output is correct
17 Correct 122 ms 294956 KB Output is correct
18 Correct 122 ms 294956 KB Output is correct
19 Correct 124 ms 294976 KB Output is correct
20 Correct 123 ms 294924 KB Output is correct
21 Correct 123 ms 294928 KB Output is correct
22 Correct 122 ms 295164 KB Output is correct
23 Correct 124 ms 295212 KB Output is correct
24 Correct 135 ms 295152 KB Output is correct
25 Correct 155 ms 295116 KB Output is correct
26 Correct 156 ms 295224 KB Output is correct
27 Correct 126 ms 295244 KB Output is correct
28 Correct 123 ms 295264 KB Output is correct
29 Correct 121 ms 295124 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 294968 KB Output is correct
2 Correct 122 ms 294960 KB Output is correct
3 Correct 124 ms 294964 KB Output is correct
4 Correct 122 ms 294972 KB Output is correct
5 Correct 123 ms 294956 KB Output is correct
6 Correct 121 ms 295020 KB Output is correct
7 Correct 122 ms 294944 KB Output is correct
8 Correct 137 ms 295008 KB Output is correct
9 Correct 122 ms 295028 KB Output is correct
10 Correct 136 ms 294988 KB Output is correct
11 Correct 121 ms 294936 KB Output is correct
12 Correct 124 ms 294976 KB Output is correct
13 Correct 119 ms 294988 KB Output is correct
14 Correct 127 ms 294944 KB Output is correct
15 Correct 122 ms 295004 KB Output is correct
16 Correct 121 ms 294980 KB Output is correct
17 Correct 122 ms 295164 KB Output is correct
18 Correct 124 ms 295212 KB Output is correct
19 Correct 135 ms 295152 KB Output is correct
20 Correct 155 ms 295116 KB Output is correct
21 Correct 156 ms 295224 KB Output is correct
22 Correct 126 ms 295244 KB Output is correct
23 Correct 123 ms 295264 KB Output is correct
24 Correct 121 ms 295124 KB Output is correct
25 Correct 122 ms 294956 KB Output is correct
26 Correct 122 ms 294956 KB Output is correct
27 Correct 124 ms 294976 KB Output is correct
28 Correct 123 ms 294924 KB Output is correct
29 Correct 123 ms 294928 KB Output is correct
30 Correct 125 ms 296164 KB Output is correct
31 Correct 133 ms 296152 KB Output is correct
32 Correct 126 ms 296164 KB Output is correct
33 Correct 129 ms 296132 KB Output is correct
34 Correct 134 ms 296764 KB Output is correct
35 Correct 137 ms 296692 KB Output is correct
36 Correct 138 ms 296688 KB Output is correct
37 Correct 139 ms 296672 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 294968 KB Output is correct
2 Correct 122 ms 294960 KB Output is correct
3 Correct 124 ms 294964 KB Output is correct
4 Correct 122 ms 294972 KB Output is correct
5 Correct 123 ms 294956 KB Output is correct
6 Correct 121 ms 295020 KB Output is correct
7 Correct 122 ms 294944 KB Output is correct
8 Correct 137 ms 295008 KB Output is correct
9 Correct 122 ms 295028 KB Output is correct
10 Correct 136 ms 294988 KB Output is correct
11 Correct 121 ms 294936 KB Output is correct
12 Correct 124 ms 294976 KB Output is correct
13 Correct 119 ms 294988 KB Output is correct
14 Correct 127 ms 294944 KB Output is correct
15 Correct 122 ms 295004 KB Output is correct
16 Correct 121 ms 294980 KB Output is correct
17 Correct 122 ms 295164 KB Output is correct
18 Correct 124 ms 295212 KB Output is correct
19 Correct 135 ms 295152 KB Output is correct
20 Correct 155 ms 295116 KB Output is correct
21 Correct 156 ms 295224 KB Output is correct
22 Correct 126 ms 295244 KB Output is correct
23 Correct 123 ms 295264 KB Output is correct
24 Correct 121 ms 295124 KB Output is correct
25 Correct 125 ms 296164 KB Output is correct
26 Correct 133 ms 296152 KB Output is correct
27 Correct 126 ms 296164 KB Output is correct
28 Correct 129 ms 296132 KB Output is correct
29 Correct 134 ms 296764 KB Output is correct
30 Correct 137 ms 296692 KB Output is correct
31 Correct 138 ms 296688 KB Output is correct
32 Correct 139 ms 296672 KB Output is correct
33 Correct 122 ms 294956 KB Output is correct
34 Correct 122 ms 294956 KB Output is correct
35 Correct 124 ms 294976 KB Output is correct
36 Correct 123 ms 294924 KB Output is correct
37 Correct 123 ms 294928 KB Output is correct
38 Correct 191 ms 304692 KB Output is correct
39 Correct 192 ms 309360 KB Output is correct
40 Correct 179 ms 309380 KB Output is correct
41 Correct 179 ms 314200 KB Output is correct
42 Correct 196 ms 310124 KB Output is correct
43 Correct 191 ms 310064 KB Output is correct
44 Correct 194 ms 310168 KB Output is correct
45 Correct 186 ms 309460 KB Output is correct
46 Correct 173 ms 306500 KB Output is correct
47 Correct 193 ms 309028 KB Output is correct
48 Correct 253 ms 316904 KB Output is correct
49 Correct 278 ms 317076 KB Output is correct
50 Correct 192 ms 306012 KB Output is correct
51 Correct 199 ms 306076 KB Output is correct
52 Correct 251 ms 315512 KB Output is correct
53 Correct 250 ms 315560 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 295412 KB Output is correct
2 Correct 128 ms 295196 KB Output is correct
3 Correct 125 ms 294964 KB Output is correct
4 Correct 120 ms 294976 KB Output is correct
5 Correct 138 ms 295152 KB Output is correct
6 Correct 121 ms 295220 KB Output is correct
7 Correct 131 ms 295244 KB Output is correct
8 Correct 124 ms 295128 KB Output is correct
9 Correct 123 ms 295196 KB Output is correct
10 Correct 130 ms 294984 KB Output is correct
11 Correct 120 ms 295020 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 122 ms 294956 KB Output is correct
2 Correct 122 ms 294956 KB Output is correct
3 Correct 124 ms 294976 KB Output is correct
4 Correct 123 ms 294924 KB Output is correct
5 Correct 123 ms 294928 KB Output is correct
6 Correct 119 ms 294904 KB Output is correct
7 Correct 506 ms 362408 KB Output is correct
8 Correct 1076 ms 441180 KB Output is correct
9 Correct 1037 ms 441908 KB Output is correct
10 Correct 950 ms 441948 KB Output is correct
11 Correct 207 ms 319288 KB Output is correct
12 Correct 343 ms 341120 KB Output is correct
13 Correct 357 ms 344172 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 294968 KB Output is correct
2 Correct 122 ms 294960 KB Output is correct
3 Correct 124 ms 294964 KB Output is correct
4 Correct 122 ms 294972 KB Output is correct
5 Correct 123 ms 294956 KB Output is correct
6 Correct 121 ms 295020 KB Output is correct
7 Correct 122 ms 294944 KB Output is correct
8 Correct 137 ms 295008 KB Output is correct
9 Correct 122 ms 295028 KB Output is correct
10 Correct 136 ms 294988 KB Output is correct
11 Correct 121 ms 294936 KB Output is correct
12 Correct 124 ms 294976 KB Output is correct
13 Correct 119 ms 294988 KB Output is correct
14 Correct 127 ms 294944 KB Output is correct
15 Correct 122 ms 295004 KB Output is correct
16 Correct 121 ms 294980 KB Output is correct
17 Correct 122 ms 295164 KB Output is correct
18 Correct 124 ms 295212 KB Output is correct
19 Correct 135 ms 295152 KB Output is correct
20 Correct 155 ms 295116 KB Output is correct
21 Correct 156 ms 295224 KB Output is correct
22 Correct 126 ms 295244 KB Output is correct
23 Correct 123 ms 295264 KB Output is correct
24 Correct 121 ms 295124 KB Output is correct
25 Correct 125 ms 296164 KB Output is correct
26 Correct 133 ms 296152 KB Output is correct
27 Correct 126 ms 296164 KB Output is correct
28 Correct 129 ms 296132 KB Output is correct
29 Correct 134 ms 296764 KB Output is correct
30 Correct 137 ms 296692 KB Output is correct
31 Correct 138 ms 296688 KB Output is correct
32 Correct 139 ms 296672 KB Output is correct
33 Correct 191 ms 304692 KB Output is correct
34 Correct 192 ms 309360 KB Output is correct
35 Correct 179 ms 309380 KB Output is correct
36 Correct 179 ms 314200 KB Output is correct
37 Correct 196 ms 310124 KB Output is correct
38 Correct 191 ms 310064 KB Output is correct
39 Correct 194 ms 310168 KB Output is correct
40 Correct 186 ms 309460 KB Output is correct
41 Correct 173 ms 306500 KB Output is correct
42 Correct 193 ms 309028 KB Output is correct
43 Correct 253 ms 316904 KB Output is correct
44 Correct 278 ms 317076 KB Output is correct
45 Correct 192 ms 306012 KB Output is correct
46 Correct 199 ms 306076 KB Output is correct
47 Correct 251 ms 315512 KB Output is correct
48 Correct 250 ms 315560 KB Output is correct
49 Correct 125 ms 295412 KB Output is correct
50 Correct 128 ms 295196 KB Output is correct
51 Correct 125 ms 294964 KB Output is correct
52 Correct 120 ms 294976 KB Output is correct
53 Correct 138 ms 295152 KB Output is correct
54 Correct 121 ms 295220 KB Output is correct
55 Correct 131 ms 295244 KB Output is correct
56 Correct 124 ms 295128 KB Output is correct
57 Correct 123 ms 295196 KB Output is correct
58 Correct 130 ms 294984 KB Output is correct
59 Correct 120 ms 295020 KB Output is correct
60 Correct 119 ms 294904 KB Output is correct
61 Correct 506 ms 362408 KB Output is correct
62 Correct 1076 ms 441180 KB Output is correct
63 Correct 1037 ms 441908 KB Output is correct
64 Correct 950 ms 441948 KB Output is correct
65 Correct 207 ms 319288 KB Output is correct
66 Correct 343 ms 341120 KB Output is correct
67 Correct 357 ms 344172 KB Output is correct
68 Correct 122 ms 294956 KB Output is correct
69 Correct 122 ms 294956 KB Output is correct
70 Correct 124 ms 294976 KB Output is correct
71 Correct 123 ms 294924 KB Output is correct
72 Correct 123 ms 294928 KB Output is correct
73 Correct 740 ms 407752 KB Output is correct
74 Correct 917 ms 472680 KB Output is correct
75 Correct 1056 ms 473684 KB Output is correct
76 Correct 1115 ms 539736 KB Output is correct
77 Correct 981 ms 462012 KB Output is correct
78 Correct 1203 ms 462888 KB Output is correct
79 Correct 1320 ms 472980 KB Output is correct
80 Correct 2005 ms 575076 KB Output is correct
81 Correct 1249 ms 464236 KB Output is correct
82 Correct 1700 ms 520828 KB Output is correct
83 Correct 2023 ms 577320 KB Output is correct
84 Correct 1193 ms 453480 KB Output is correct
85 Correct 1997 ms 560944 KB Output is correct
86 Correct 1886 ms 552780 KB Output is correct
87 Correct 626 ms 399432 KB Output is correct
88 Correct 968 ms 462016 KB Output is correct
89 Correct 960 ms 462120 KB Output is correct
90 Correct 998 ms 462072 KB Output is correct