Submission #156307

# Submission time Handle Problem Language Result Execution time Memory
156307 2019-10-05T02:17:20 Z wilwxk Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 515016 KB
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int MAXN=2503;
int v[MAXN][MAXN];
short limite[MAXN][MAXN][4];
short qv[MAXN][MAXN][4];
short seg[4][MAXN][4*MAXN];
set<tuple<int, int, int, int> > respf;
int n, m;

void histoi() {
	for(int i=0; i<n; i++) {
		stack<pair<int, int> > st;
		for(int j=0; j<m; j++) {
			while(st.size()&&st.top().first<v[i][j]) {
				qv[i][st.top().second][0]=j;
				st.pop();
			}
			limite[i][j][2]= st.size() ? st.top().second : -1;
			st.push({v[i][j], j});
		}
		while(st.size()) st.pop();
		for(int j=m-1; j>=0; j--) {
			while(st.size()&&st.top().first<v[i][j]) {
				qv[i][st.top().second][2]=j;
				st.pop();
			}
			limite[i][j][0]= st.size() ? st.top().second : m;
			st.push({v[i][j], j});
		}
	}
}

void histoj() {
	for(int j=0; j<m; j++) {
		stack<pair<int, int> > st;
		for(int i=0; i<n; i++) {
			while(st.size()&&st.top().first<v[i][j]) {
				qv[st.top().second][j][3]=i;
				st.pop();
			}
			limite[i][j][1]= st.size() ? st.top().second : -1;
			st.push({v[i][j], i});
		}
		while(st.size()) st.pop();
		for(int i=n-1; i>=0; i--) {
			while(st.size()&&st.top().first<v[i][j]) {
				qv[st.top().second][j][1]=i;
				st.pop();
			}
			limite[i][j][3]= st.size() ? st.top().second : n;
			st.push({v[i][j], i});
		}
	}
}

void junta(int sind, int e, int d, int k, int k2) {
	if(k==0||k==3) seg[k][k2][sind]=min(seg[k][k2][e], seg[k][k2][d]);
	else seg[k][k2][sind]=max(seg[k][k2][e], seg[k][k2][d]);
}

void build(int sind, int ini, int fim, int k, int k2) {
	if(ini==fim) {
		if(k==0||k==2) seg[k][k2][sind]=limite[ini][k2][k];
		else seg[k][k2][sind]=limite[k2][ini][k];
		return;
	}
	int mid=(ini+fim)/2;
	int e=sind*2; int d=e+1;
	build(e, ini, mid, k, k2); build(d, mid+1, fim, k, k2);
	junta(sind, e, d, k, k2);
} 

void query(int sind, int ini, int fim, int qini, int qfim, int k, int k2) {
	if(sind==1) {
		if(k==0||k==3) seg[k][k2][0]=MAXN;
		else seg[k][k2][0]=-1;
	}
	if(qini<=ini&&qfim>=fim) {
		junta(0, 0, sind, k, k2);
		return;
	}
	int mid=(ini+fim)/2;
	int e=sind*2; int d=e+1;
	if(qini<=mid) query(e, ini, mid, qini, qfim, k, k2);
	if(qfim>mid) query(d, mid+1, fim, qini, qfim, k, k2);
}

bool checa(int a, int b, int c, int d) {
	int i, j, i2, j2;
	i=min(a, c); i2=max(a, c);
	j=min(b, d); j2=max(b, d);
	if(i<0||j<0||i2>n-1||j2>m-1) return 0;
	// printf("checa %d %d %d %d\n", i, j, i2, j2);

	query(1, 0, m-1, j+1, j2-1, 3, i);
	int aa=seg[3][i][0];
	if(aa<i2) return 0;

	query(1, 0, m-1, j+1, j2-1, 1, i2);
	int bb=seg[1][i2][0];
	if(bb>i) return 0;

	query(1, 0, n-1, i+1, i2-1, 0, j);
	int cc=seg[0][j][0];
	if(cc<j2) return 0;

	query(1, 0, n-1, i+1, i2-1, 2, j2);
	int dd=seg[2][j2][0];
	if(dd>j) return 0;

	// printf("ok %d %d %d %d\n", aa, bb, cc, dd);

	return 1;
}

ll count_rectangles(vector< vector<int> > A) {
	n=A.size(); m=A[0].size();
	for(int i=0; i<n; i++) {
		for(int j=0; j<m; j++) {
			v[i][j]=A[i][j];
			qv[i][j][0]=m;
			qv[i][j][1]=-1;
			qv[i][j][2]=-1;
			qv[i][j][3]=n;
		}
	}
	histoi(); histoj();
	// for(int i=0; i<n; i++) {
	// 	for(int j=0; j<m; j++) printf("%d ", qv[i][j][0]);
	// 	printf("\n");
	// }

	for(int i=0; i<n; i++) build(1, 0, m-1, 1, i), build(1, 0, m-1, 3, i);
	for(int j=0; j<m; j++) build(1, 0, n-1, 0, j), build(1, 0, n-1, 2, j);

	for(int ii=1; ii<n-1; ii++) {
		for(int jj=1; jj<m-1; jj++) {
			// printf("%d %d\n", ii, jj);
			int i=qv[ii][jj][1];
			int j=qv[ii][jj][2];
			int i2=qv[ii][jj][3];
			int j2=qv[ii][jj][0];
			if(checa(i, j, i2, j2)) respf.insert({i, j, i2, j2});
		}
	}

	return respf.size();
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1272 KB Output is correct
3 Correct 3 ms 1272 KB Output is correct
4 Correct 3 ms 1272 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 3 ms 1272 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 3 ms 1272 KB Output is correct
10 Correct 3 ms 1272 KB Output is correct
11 Correct 3 ms 1272 KB Output is correct
12 Correct 4 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 4 ms 1272 KB Output is correct
20 Correct 3 ms 1144 KB Output is correct
21 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1272 KB Output is correct
3 Correct 3 ms 1272 KB Output is correct
4 Correct 3 ms 1272 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 3 ms 1272 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 3 ms 1272 KB Output is correct
10 Correct 3 ms 1272 KB Output is correct
11 Correct 3 ms 1272 KB Output is correct
12 Correct 4 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 10 ms 3320 KB Output is correct
18 Correct 10 ms 3448 KB Output is correct
19 Correct 9 ms 3320 KB Output is correct
20 Correct 3 ms 2936 KB Output is correct
21 Correct 8 ms 3064 KB Output is correct
22 Correct 15 ms 3064 KB Output is correct
23 Correct 7 ms 3064 KB Output is correct
24 Correct 10 ms 2552 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 4 ms 1272 KB Output is correct
28 Correct 3 ms 1144 KB Output is correct
29 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1272 KB Output is correct
3 Correct 3 ms 1272 KB Output is correct
4 Correct 3 ms 1272 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 3 ms 1272 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 3 ms 1272 KB Output is correct
10 Correct 3 ms 1272 KB Output is correct
11 Correct 3 ms 1272 KB Output is correct
12 Correct 4 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 10 ms 3320 KB Output is correct
18 Correct 10 ms 3448 KB Output is correct
19 Correct 9 ms 3320 KB Output is correct
20 Correct 3 ms 2936 KB Output is correct
21 Correct 8 ms 3064 KB Output is correct
22 Correct 15 ms 3064 KB Output is correct
23 Correct 7 ms 3064 KB Output is correct
24 Correct 10 ms 2552 KB Output is correct
25 Correct 52 ms 10524 KB Output is correct
26 Correct 51 ms 10524 KB Output is correct
27 Correct 53 ms 10616 KB Output is correct
28 Correct 24 ms 8184 KB Output is correct
29 Correct 30 ms 8824 KB Output is correct
30 Correct 27 ms 8952 KB Output is correct
31 Correct 34 ms 8952 KB Output is correct
32 Correct 34 ms 8952 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 4 ms 1272 KB Output is correct
36 Correct 3 ms 1144 KB Output is correct
37 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1272 KB Output is correct
3 Correct 3 ms 1272 KB Output is correct
4 Correct 3 ms 1272 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 3 ms 1272 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 3 ms 1272 KB Output is correct
10 Correct 3 ms 1272 KB Output is correct
11 Correct 3 ms 1272 KB Output is correct
12 Correct 4 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 10 ms 3320 KB Output is correct
18 Correct 10 ms 3448 KB Output is correct
19 Correct 9 ms 3320 KB Output is correct
20 Correct 3 ms 2936 KB Output is correct
21 Correct 8 ms 3064 KB Output is correct
22 Correct 15 ms 3064 KB Output is correct
23 Correct 7 ms 3064 KB Output is correct
24 Correct 10 ms 2552 KB Output is correct
25 Correct 52 ms 10524 KB Output is correct
26 Correct 51 ms 10524 KB Output is correct
27 Correct 53 ms 10616 KB Output is correct
28 Correct 24 ms 8184 KB Output is correct
29 Correct 30 ms 8824 KB Output is correct
30 Correct 27 ms 8952 KB Output is correct
31 Correct 34 ms 8952 KB Output is correct
32 Correct 34 ms 8952 KB Output is correct
33 Correct 194 ms 47964 KB Output is correct
34 Correct 186 ms 48088 KB Output is correct
35 Correct 179 ms 48036 KB Output is correct
36 Correct 179 ms 48036 KB Output is correct
37 Correct 774 ms 78504 KB Output is correct
38 Correct 761 ms 78568 KB Output is correct
39 Correct 776 ms 78852 KB Output is correct
40 Correct 673 ms 74588 KB Output is correct
41 Correct 199 ms 46948 KB Output is correct
42 Correct 237 ms 48760 KB Output is correct
43 Correct 332 ms 57024 KB Output is correct
44 Correct 340 ms 58956 KB Output is correct
45 Correct 185 ms 36792 KB Output is correct
46 Correct 161 ms 32480 KB Output is correct
47 Correct 386 ms 57904 KB Output is correct
48 Correct 388 ms 58968 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 2 ms 376 KB Output is correct
51 Correct 4 ms 1272 KB Output is correct
52 Correct 3 ms 1144 KB Output is correct
53 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 21112 KB Output is correct
2 Correct 18 ms 17912 KB Output is correct
3 Correct 18 ms 20856 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 23 ms 20984 KB Output is correct
6 Correct 20 ms 20984 KB Output is correct
7 Correct 34 ms 20984 KB Output is correct
8 Correct 22 ms 20956 KB Output is correct
9 Correct 23 ms 20984 KB Output is correct
10 Correct 18 ms 20600 KB Output is correct
11 Correct 19 ms 20856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 632 KB Output is correct
2 Correct 1291 ms 200236 KB Output is correct
3 Correct 2937 ms 394276 KB Output is correct
4 Correct 2858 ms 395968 KB Output is correct
5 Correct 2820 ms 395904 KB Output is correct
6 Correct 830 ms 199616 KB Output is correct
7 Correct 1701 ms 370236 KB Output is correct
8 Correct 1771 ms 380284 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 4 ms 1272 KB Output is correct
12 Correct 3 ms 1144 KB Output is correct
13 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1272 KB Output is correct
3 Correct 3 ms 1272 KB Output is correct
4 Correct 3 ms 1272 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 3 ms 1272 KB Output is correct
7 Correct 3 ms 1016 KB Output is correct
8 Correct 3 ms 760 KB Output is correct
9 Correct 3 ms 1272 KB Output is correct
10 Correct 3 ms 1272 KB Output is correct
11 Correct 3 ms 1272 KB Output is correct
12 Correct 4 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 10 ms 3320 KB Output is correct
18 Correct 10 ms 3448 KB Output is correct
19 Correct 9 ms 3320 KB Output is correct
20 Correct 3 ms 2936 KB Output is correct
21 Correct 8 ms 3064 KB Output is correct
22 Correct 15 ms 3064 KB Output is correct
23 Correct 7 ms 3064 KB Output is correct
24 Correct 10 ms 2552 KB Output is correct
25 Correct 52 ms 10524 KB Output is correct
26 Correct 51 ms 10524 KB Output is correct
27 Correct 53 ms 10616 KB Output is correct
28 Correct 24 ms 8184 KB Output is correct
29 Correct 30 ms 8824 KB Output is correct
30 Correct 27 ms 8952 KB Output is correct
31 Correct 34 ms 8952 KB Output is correct
32 Correct 34 ms 8952 KB Output is correct
33 Correct 194 ms 47964 KB Output is correct
34 Correct 186 ms 48088 KB Output is correct
35 Correct 179 ms 48036 KB Output is correct
36 Correct 179 ms 48036 KB Output is correct
37 Correct 774 ms 78504 KB Output is correct
38 Correct 761 ms 78568 KB Output is correct
39 Correct 776 ms 78852 KB Output is correct
40 Correct 673 ms 74588 KB Output is correct
41 Correct 199 ms 46948 KB Output is correct
42 Correct 237 ms 48760 KB Output is correct
43 Correct 332 ms 57024 KB Output is correct
44 Correct 340 ms 58956 KB Output is correct
45 Correct 185 ms 36792 KB Output is correct
46 Correct 161 ms 32480 KB Output is correct
47 Correct 386 ms 57904 KB Output is correct
48 Correct 388 ms 58968 KB Output is correct
49 Correct 21 ms 21112 KB Output is correct
50 Correct 18 ms 17912 KB Output is correct
51 Correct 18 ms 20856 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 23 ms 20984 KB Output is correct
54 Correct 20 ms 20984 KB Output is correct
55 Correct 34 ms 20984 KB Output is correct
56 Correct 22 ms 20956 KB Output is correct
57 Correct 23 ms 20984 KB Output is correct
58 Correct 18 ms 20600 KB Output is correct
59 Correct 19 ms 20856 KB Output is correct
60 Correct 2 ms 632 KB Output is correct
61 Correct 1291 ms 200236 KB Output is correct
62 Correct 2937 ms 394276 KB Output is correct
63 Correct 2858 ms 395968 KB Output is correct
64 Correct 2820 ms 395904 KB Output is correct
65 Correct 830 ms 199616 KB Output is correct
66 Correct 1701 ms 370236 KB Output is correct
67 Correct 1771 ms 380284 KB Output is correct
68 Correct 2208 ms 399708 KB Output is correct
69 Correct 2361 ms 391704 KB Output is correct
70 Correct 2225 ms 391600 KB Output is correct
71 Correct 2254 ms 391684 KB Output is correct
72 Execution timed out 5114 ms 515016 KB Time limit exceeded
73 Halted 0 ms 0 KB -