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답안 #518450

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
518450 2022-01-23T20:36:30 Z sidon Rectangles (IOI19_rect) C++17
100 / 100
 3384 ms 586448 KB 
#include <bits/stdc++.h>
using namespace std;
#define C(X, Y) ((X)*m+Y)

const int Z = 2500;

struct SegmentTree {
	int S[2*Z];
	void operator()() {
		for(int i = Z; --i; ) S[i] = max(S[2*i], S[2*i+1]);
	}
	int operator()(int l, int r) const {
		int x = -1;
		l += Z, r += Z + 1;
		for(; l < r; l /= 2, r /= 2){
			if(l & 1) x = max(x, S[l++]);
			if(r & 1) x = max(x, S[--r]);
		}
		return x;
	}
} s[4][Z];

int n, m, c[4][Z*Z], d[4][Z*Z], ans;
int sL[Z], *sR;
vector<array<int, 4>> q;

long long count_rectangles(vector<vector<int>> a) {
	n = size(a), m = size(a[0]); int add = 0;
	for(auto &u : {c, d}) {
		for(int i = 0; i < n; i++) {
			for(int k : {0, 1}) {
				sR = sL;
				for(int j = 0; j < m; j++) {
					while(sL != sR && a[i][sR[-1]] < a[i][j] + add) --sR;
					u[k][C(i, j)] = sL == sR ? -1 : sR[-1];
					*sR++ = j;
				}
				reverse(begin(a[i]), end(a[i]));	
			}
			for(int j = 0; j < m-1-j; j++)
				swap(u[1][C(i, j)], u[1][C(i, m-1-j)]);
		}
		for(int j = 0; j < m; j++) {
			for(int k : {2, 3}) {
				sR = sL;
				for(int i = 0; i < n; i++) {
					while(sL != sR && a[sR[-1]][j] < a[i][j] + add) --sR;
					u[k][C(i, j)] = sL == sR ? -1 : sR[-1];
					*sR++ = i;
				}
				for(int i = 0; i < n-1-i; i++)
					swap(a[i][j], a[n-1-i][j]);
			}
			for(int i = 0; i < n-1-i; i++)
				swap(u[3][C(i, j)], u[3][C(n-1-i, j)]);
		}
		++add;
	}

	for(int j = 0; j < m; j++) {
		for(int k : {0, 1}) {
			for(int i = 0; i < n; i++)
				s[k][j].S[i+Z] = c[k][C(i, j)];
			s[k][j]();
		}
	}
	for(int i = 0; i < n; i++) {
		for(int k : {2, 3}) {
			for(int j = 0; j < m; j++)
				s[k][i].S[j+Z] = c[k][C(i, j)];
			s[k][i]();
		}
	}

	q.reserve(n*m);
	for(int i = n*m; --i >=0; )
		if(min({d[0][i], d[1][i], d[2][i], d[3][i]}) >= 0)
			q.push_back({d[0][i], m-1-d[1][i], d[2][i], n-1-d[3][i]});
	sort(begin(q), end(q));
	q.resize(unique(begin(q), end(q)) - begin(q));

	for(auto &[j1, j2, i1, i2] : q) {
		if(s[0][j2](i1+1, i2-1) > j1) continue;
		if(s[2][i2](j1+1, j2-1) > i1) continue;
		if(s[1][j1](i1+1, i2-1) > m-1-j2) continue;
		if(s[3][i1](j1+1, j2-1) > n-1-i2) continue;
		++ans;
	}
	return ans;
}

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 2 ms 2124 KB Output is correct
3 Correct 2 ms 2124 KB Output is correct
4 Correct 2 ms 2124 KB Output is correct
5 Correct 2 ms 1996 KB Output is correct
6 Correct 2 ms 2124 KB Output is correct
7 Correct 1 ms 1612 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 2 ms 2124 KB Output is correct
10 Correct 2 ms 2128 KB Output is correct
11 Correct 2 ms 2128 KB Output is correct
12 Correct 2 ms 2128 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 676 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 1 ms 428 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 2 ms 2128 KB Output is correct
20 Correct 1 ms 1616 KB Output is correct
21 Correct 1 ms 720 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 2 ms 2124 KB Output is correct
3 Correct 2 ms 2124 KB Output is correct
4 Correct 2 ms 2124 KB Output is correct
5 Correct 2 ms 1996 KB Output is correct
6 Correct 2 ms 2124 KB Output is correct
7 Correct 1 ms 1612 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 2 ms 2124 KB Output is correct
10 Correct 2 ms 2128 KB Output is correct
11 Correct 2 ms 2128 KB Output is correct
12 Correct 2 ms 2128 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 676 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 1 ms 428 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 2 ms 2128 KB Output is correct
20 Correct 1 ms 1616 KB Output is correct
21 Correct 1 ms 720 KB Output is correct
22 Correct 5 ms 5200 KB Output is correct
23 Correct 6 ms 5224 KB Output is correct
24 Correct 5 ms 5200 KB Output is correct
25 Correct 6 ms 5200 KB Output is correct
26 Correct 5 ms 5168 KB Output is correct
27 Correct 6 ms 5136 KB Output is correct
28 Correct 5 ms 5200 KB Output is correct
29 Correct 3 ms 3892 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 2 ms 2124 KB Output is correct
3 Correct 2 ms 2124 KB Output is correct
4 Correct 2 ms 2124 KB Output is correct
5 Correct 2 ms 1996 KB Output is correct
6 Correct 2 ms 2124 KB Output is correct
7 Correct 1 ms 1612 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 2 ms 2124 KB Output is correct
10 Correct 2 ms 2128 KB Output is correct
11 Correct 2 ms 2128 KB Output is correct
12 Correct 2 ms 2128 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 676 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 5 ms 5200 KB Output is correct
18 Correct 6 ms 5224 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 6 ms 5200 KB Output is correct
21 Correct 5 ms 5168 KB Output is correct
22 Correct 6 ms 5136 KB Output is correct
23 Correct 5 ms 5200 KB Output is correct
24 Correct 3 ms 3892 KB Output is correct
25 Correct 1 ms 428 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 2 ms 2128 KB Output is correct
28 Correct 1 ms 1616 KB Output is correct
29 Correct 1 ms 720 KB Output is correct
30 Correct 20 ms 14396 KB Output is correct
31 Correct 20 ms 14372 KB Output is correct
32 Correct 21 ms 14524 KB Output is correct
33 Correct 21 ms 14064 KB Output is correct
34 Correct 24 ms 14232 KB Output is correct
35 Correct 20 ms 14380 KB Output is correct
36 Correct 20 ms 14416 KB Output is correct
37 Correct 21 ms 14288 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 2 ms 2124 KB Output is correct
3 Correct 2 ms 2124 KB Output is correct
4 Correct 2 ms 2124 KB Output is correct
5 Correct 2 ms 1996 KB Output is correct
6 Correct 2 ms 2124 KB Output is correct
7 Correct 1 ms 1612 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 2 ms 2124 KB Output is correct
10 Correct 2 ms 2128 KB Output is correct
11 Correct 2 ms 2128 KB Output is correct
12 Correct 2 ms 2128 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 676 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 5 ms 5200 KB Output is correct
18 Correct 6 ms 5224 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 6 ms 5200 KB Output is correct
21 Correct 5 ms 5168 KB Output is correct
22 Correct 6 ms 5136 KB Output is correct
23 Correct 5 ms 5200 KB Output is correct
24 Correct 3 ms 3892 KB Output is correct
25 Correct 20 ms 14396 KB Output is correct
26 Correct 20 ms 14372 KB Output is correct
27 Correct 21 ms 14524 KB Output is correct
28 Correct 21 ms 14064 KB Output is correct
29 Correct 24 ms 14232 KB Output is correct
30 Correct 20 ms 14380 KB Output is correct
31 Correct 20 ms 14416 KB Output is correct
32 Correct 21 ms 14288 KB Output is correct
33 Correct 1 ms 428 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 2 ms 2128 KB Output is correct
36 Correct 1 ms 1616 KB Output is correct
37 Correct 1 ms 720 KB Output is correct
38 Correct 73 ms 68900 KB Output is correct
39 Correct 76 ms 69028 KB Output is correct
40 Correct 73 ms 68900 KB Output is correct
41 Correct 86 ms 68964 KB Output is correct
42 Correct 213 ms 76572 KB Output is correct
43 Correct 226 ms 76688 KB Output is correct
44 Correct 215 ms 76968 KB Output is correct
45 Correct 199 ms 73456 KB Output is correct
46 Correct 123 ms 70460 KB Output is correct
47 Correct 140 ms 71752 KB Output is correct
48 Correct 188 ms 74896 KB Output is correct
49 Correct 200 ms 76836 KB Output is correct
50 Correct 104 ms 48196 KB Output is correct
51 Correct 126 ms 48228 KB Output is correct
52 Correct 194 ms 76008 KB Output is correct
53 Correct 193 ms 76832 KB Output is correct

Subtask #5
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 46 ms 69760 KB Output is correct
2 Correct 37 ms 59220 KB Output is correct
3 Correct 45 ms 69708 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 44 ms 69700 KB Output is correct
6 Correct 42 ms 69632 KB Output is correct
7 Correct 42 ms 69672 KB Output is correct
8 Correct 44 ms 69644 KB Output is correct
9 Correct 45 ms 69696 KB Output is correct
10 Correct 42 ms 69364 KB Output is correct
11 Correct 43 ms 69456 KB Output is correct

Subtask #6
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 428 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 2 ms 2128 KB Output is correct
4 Correct 1 ms 1616 KB Output is correct
5 Correct 1 ms 720 KB Output is correct
6 Correct 1 ms 844 KB Output is correct
7 Correct 802 ms 269584 KB Output is correct
8 Correct 1760 ms 499808 KB Output is correct
9 Correct 1971 ms 501840 KB Output is correct
10 Correct 1733 ms 501720 KB Output is correct
11 Correct 482 ms 268460 KB Output is correct
12 Correct 1000 ms 431016 KB Output is correct
13 Correct 1044 ms 453036 KB Output is correct

Subtask #7
28.0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 2 ms 2124 KB Output is correct
3 Correct 2 ms 2124 KB Output is correct
4 Correct 2 ms 2124 KB Output is correct
5 Correct 2 ms 1996 KB Output is correct
6 Correct 2 ms 2124 KB Output is correct
7 Correct 1 ms 1612 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 2 ms 2124 KB Output is correct
10 Correct 2 ms 2128 KB Output is correct
11 Correct 2 ms 2128 KB Output is correct
12 Correct 2 ms 2128 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 676 KB Output is correct
15 Correct 1 ms 848 KB Output is correct
16 Correct 1 ms 552 KB Output is correct
17 Correct 5 ms 5200 KB Output is correct
18 Correct 6 ms 5224 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 6 ms 5200 KB Output is correct
21 Correct 5 ms 5168 KB Output is correct
22 Correct 6 ms 5136 KB Output is correct
23 Correct 5 ms 5200 KB Output is correct
24 Correct 3 ms 3892 KB Output is correct
25 Correct 20 ms 14396 KB Output is correct
26 Correct 20 ms 14372 KB Output is correct
27 Correct 21 ms 14524 KB Output is correct
28 Correct 21 ms 14064 KB Output is correct
29 Correct 24 ms 14232 KB Output is correct
30 Correct 20 ms 14380 KB Output is correct
31 Correct 20 ms 14416 KB Output is correct
32 Correct 21 ms 14288 KB Output is correct
33 Correct 73 ms 68900 KB Output is correct
34 Correct 76 ms 69028 KB Output is correct
35 Correct 73 ms 68900 KB Output is correct
36 Correct 86 ms 68964 KB Output is correct
37 Correct 213 ms 76572 KB Output is correct
38 Correct 226 ms 76688 KB Output is correct
39 Correct 215 ms 76968 KB Output is correct
40 Correct 199 ms 73456 KB Output is correct
41 Correct 123 ms 70460 KB Output is correct
42 Correct 140 ms 71752 KB Output is correct
43 Correct 188 ms 74896 KB Output is correct
44 Correct 200 ms 76836 KB Output is correct
45 Correct 104 ms 48196 KB Output is correct
46 Correct 126 ms 48228 KB Output is correct
47 Correct 194 ms 76008 KB Output is correct
48 Correct 193 ms 76832 KB Output is correct
49 Correct 46 ms 69760 KB Output is correct
50 Correct 37 ms 59220 KB Output is correct
51 Correct 45 ms 69708 KB Output is correct
52 Correct 0 ms 460 KB Output is correct
53 Correct 44 ms 69700 KB Output is correct
54 Correct 42 ms 69632 KB Output is correct
55 Correct 42 ms 69672 KB Output is correct
56 Correct 44 ms 69644 KB Output is correct
57 Correct 45 ms 69696 KB Output is correct
58 Correct 42 ms 69364 KB Output is correct
59 Correct 43 ms 69456 KB Output is correct
60 Correct 1 ms 844 KB Output is correct
61 Correct 802 ms 269584 KB Output is correct
62 Correct 1760 ms 499808 KB Output is correct
63 Correct 1971 ms 501840 KB Output is correct
64 Correct 1733 ms 501720 KB Output is correct
65 Correct 482 ms 268460 KB Output is correct
66 Correct 1000 ms 431016 KB Output is correct
67 Correct 1044 ms 453036 KB Output is correct
68 Correct 1 ms 428 KB Output is correct
69 Correct 1 ms 464 KB Output is correct
70 Correct 2 ms 2128 KB Output is correct
71 Correct 1 ms 1616 KB Output is correct
72 Correct 1 ms 720 KB Output is correct
73 Correct 1195 ms 487576 KB Output is correct
74 Correct 1151 ms 487744 KB Output is correct
75 Correct 1158 ms 487780 KB Output is correct
76 Correct 1136 ms 487616 KB Output is correct
77 Correct 3384 ms 586448 KB Output is correct
78 Correct 1615 ms 375272 KB Output is correct
79 Correct 1725 ms 397532 KB Output is correct
80 Correct 2741 ms 560196 KB Output is correct
81 Correct 1569 ms 390456 KB Output is correct
82 Correct 2184 ms 488188 KB Output is correct
83 Correct 2713 ms 585492 KB Output is correct
84 Correct 1606 ms 382804 KB Output is correct
85 Correct 2714 ms 585020 KB Output is correct
86 Correct 2733 ms 571888 KB Output is correct
87 Correct 1977 ms 391268 KB Output is correct
88 Correct 3336 ms 586076 KB Output is correct
89 Correct 3348 ms 586440 KB Output is correct
90 Correct 3295 ms 586424 KB Output is correct