oj.uz

Submission #143394

# Submission time Handle Problem Language Result Execution time Memory
143394 2019-08-13T23:17:28 Z model_code Rectangles (IOI19_rect) C++17
100 / 100
 2412 ms 323592 KB 
// model_solution/rect-mruxim-n2lg.cpp

// ... ... .. ....!
// ... ....... .... ...!

#include<bits/stdc++.h>
using namespace std;

#define rep(i, n) for(int i = 0, i##__n = (int)(n); i < i##__n; ++i)
#define fer(i, a, b) for(int i = (int)(a), i##__b = (int)(b); i < i##__b; ++i)
#define rof(i, b, a) for(int i = (int)(b), i##__a = (int)(a); i-- > i##__a; )
#define sz(x) (int((x).size()))
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define X first
#define Y second
//#define endl '\n'

template<class P, class Q> inline void smin(P &a, Q b) { if (b < a) a = b; }
template<class P, class Q> inline void smax(P &a, Q b) { if (a < b) a = b; }

typedef long long ll;
typedef pair<int, int> pii;

////////////////////////////////////////////////////////////////////////////////

const int maxn = 3000 + 10;


int n, m;
vector<vector<int>> H;

short L[maxn][maxn], R[maxn][maxn], U[maxn][maxn], D[maxn][maxn];
short UL[maxn][maxn], DL[maxn][maxn], LU[maxn][maxn], RU[maxn][maxn];

vector<ll> v;

void precalc() {
	short st[maxn];
	
	rep(i, n) {
		int t = 0;
		rep(j, m) {
			while(t && H[i][j] > H[i][st[t-1]]) t--;
			L[i][j] = (t ? st[t-1] : -1);
			st[t++] = j;
		}
	}
	rep(i, n) {
		int t = 0;
		rof(j, m, 0) {
			while(t && H[i][j] > H[i][st[t-1]]) t--;
			R[i][j] = (t ? st[t-1] : -1);
			st[t++] = j;
		}
	}
	rep(j, m) {
		int t = 0;
		rep(i, n) {
			while(t && H[i][j] > H[st[t-1]][j]) t--;
			U[i][j] = (t ? st[t-1] : -1);
			st[t++] = i;
		}
	}
	rep(j, m) {
		int t = 0;
		rof(i, n, 0) {
			while(t && H[i][j] > H[st[t-1]][j]) t--;
			D[i][j] = (t ? st[t-1] : -1);
			st[t++] = i;
		}
	}

	rep(j, m) rep(i, n) {
		if(U[i][j] != -1) {
			if(j > 0 && U[i][j] == U[i][j-1]) UL[i][j] = UL[i][j-1];
			else if(j > 0 && i == D[U[i][j]][j-1]) UL[i][j] = DL[U[i][j]][j-1];
			else UL[i][j] = j;
		}
		if(D[i][j] != -1) {
			if(j > 0 && D[i][j] == D[i][j-1]) DL[i][j] = DL[i][j-1];
			else if(j > 0 && i == U[D[i][j]][j-1]) DL[i][j] = UL[D[i][j]][j-1];
			else DL[i][j] = j;
		}
	}

	rep(i, n) rep(j, m) {
		if(L[i][j] != -1) {
			if(i > 0 && L[i][j] == L[i-1][j]) LU[i][j] = LU[i-1][j];
			else if(i > 0 && j == R[i-1][L[i][j]]) LU[i][j] = RU[i-1][L[i][j]];
			else LU[i][j] = i;
		}
		if(R[i][j] != -1) {
			if(i > 0 && R[i][j] == R[i-1][j]) RU[i][j] = RU[i-1][j];
			else if(i > 0 && j == L[i-1][R[i][j]]) RU[i][j] = LU[i-1][R[i][j]];
			else RU[i][j] = i;
		}
	}
}

void check(int i1, int i2, int j1, int j2) {
	if(i2 < i1 || j2 < j1) return;
	if(!((R[i2][j1-1]-1 == j2 && RU[i2][j1-1] <= i1) || (L[i2][j2+1]+1 == j1 && LU[i2][j2+1] <= i1))) return;
	if(!((D[i1-1][j2]-1 == i2 && DL[i1-1][j2] <= j1) || (U[i2+1][j2]+1 == i1 && UL[i2+1][j2] <= j1))) return;
	v.pb((((ll)i1 * maxn + i2) * maxn + j1) * maxn + j2);
}

int count_rectangles(vector<vector<int>> _H) {
	H = _H;
	n = sz(H);
	m = sz(H[0]);

	precalc();

	fer(i, 1, n-1) fer(j, 1, m-1) {
		if(U[i+1][j] != -1 && L[i][j+1] != -1) check(U[i+1][j]+1, i, L[i][j+1]+1, j);
		if(U[i+1][j] != -1 && R[i][j-1] != -1) check(U[i+1][j]+1, i, j, R[i][j-1]-1);
		if(D[i-1][j] != -1 && L[i][j+1] != -1) check(i, D[i-1][j]-1, L[i][j+1]+1, j);
		if(D[i-1][j] != -1 && R[i][j-1] != -1) check(i, D[i-1][j]-1, j, R[i][j-1]-1);
		if(D[i-1][j] != -1 && R[D[i-1][j]-1][j-1] != -1) check(i, D[i-1][j]-1, j, R[D[i-1][j]-1][j-1]-1);
		if(D[i-1][j] != -1 && L[D[i-1][j]-1][j+1] != -1) check(i, D[i-1][j]-1, L[D[i-1][j]-1][j+1]+1, j);
	}
	
	sort(all(v));
	v.resize(unique(all(v)) - v.begin());

	return sz(v);
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1400 KB Output is correct
3 Correct 3 ms 1400 KB Output is correct
4 Correct 3 ms 1400 KB Output is correct
5 Correct 3 ms 1400 KB Output is correct
6 Correct 3 ms 1400 KB Output is correct
7 Correct 3 ms 1400 KB Output is correct
8 Correct 2 ms 760 KB Output is correct
9 Correct 3 ms 1400 KB Output is correct
10 Correct 3 ms 1400 KB Output is correct
11 Correct 3 ms 1400 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 632 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 3 ms 1404 KB Output is correct
20 Correct 3 ms 1272 KB Output is correct
21 Correct 2 ms 632 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1400 KB Output is correct
3 Correct 3 ms 1400 KB Output is correct
4 Correct 3 ms 1400 KB Output is correct
5 Correct 3 ms 1400 KB Output is correct
6 Correct 3 ms 1400 KB Output is correct
7 Correct 3 ms 1400 KB Output is correct
8 Correct 2 ms 760 KB Output is correct
9 Correct 3 ms 1400 KB Output is correct
10 Correct 3 ms 1400 KB Output is correct
11 Correct 3 ms 1400 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 632 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 5 ms 3320 KB Output is correct
18 Correct 5 ms 3320 KB Output is correct
19 Correct 5 ms 3324 KB Output is correct
20 Correct 5 ms 3064 KB Output is correct
21 Correct 5 ms 3192 KB Output is correct
22 Correct 5 ms 3192 KB Output is correct
23 Correct 5 ms 3192 KB Output is correct
24 Correct 5 ms 3064 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 3 ms 1404 KB Output is correct
28 Correct 3 ms 1272 KB Output is correct
29 Correct 2 ms 632 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1400 KB Output is correct
3 Correct 3 ms 1400 KB Output is correct
4 Correct 3 ms 1400 KB Output is correct
5 Correct 3 ms 1400 KB Output is correct
6 Correct 3 ms 1400 KB Output is correct
7 Correct 3 ms 1400 KB Output is correct
8 Correct 2 ms 760 KB Output is correct
9 Correct 3 ms 1400 KB Output is correct
10 Correct 3 ms 1400 KB Output is correct
11 Correct 3 ms 1400 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 632 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 5 ms 3320 KB Output is correct
18 Correct 5 ms 3320 KB Output is correct
19 Correct 5 ms 3324 KB Output is correct
20 Correct 5 ms 3064 KB Output is correct
21 Correct 5 ms 3192 KB Output is correct
22 Correct 5 ms 3192 KB Output is correct
23 Correct 5 ms 3192 KB Output is correct
24 Correct 5 ms 3064 KB Output is correct
25 Correct 14 ms 9076 KB Output is correct
26 Correct 15 ms 9084 KB Output is correct
27 Correct 15 ms 9076 KB Output is correct
28 Correct 14 ms 8184 KB Output is correct
29 Correct 16 ms 8312 KB Output is correct
30 Correct 16 ms 8184 KB Output is correct
31 Correct 16 ms 8312 KB Output is correct
32 Correct 15 ms 8184 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 3 ms 1404 KB Output is correct
36 Correct 3 ms 1272 KB Output is correct
37 Correct 2 ms 632 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1400 KB Output is correct
3 Correct 3 ms 1400 KB Output is correct
4 Correct 3 ms 1400 KB Output is correct
5 Correct 3 ms 1400 KB Output is correct
6 Correct 3 ms 1400 KB Output is correct
7 Correct 3 ms 1400 KB Output is correct
8 Correct 2 ms 760 KB Output is correct
9 Correct 3 ms 1400 KB Output is correct
10 Correct 3 ms 1400 KB Output is correct
11 Correct 3 ms 1400 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 632 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 5 ms 3320 KB Output is correct
18 Correct 5 ms 3320 KB Output is correct
19 Correct 5 ms 3324 KB Output is correct
20 Correct 5 ms 3064 KB Output is correct
21 Correct 5 ms 3192 KB Output is correct
22 Correct 5 ms 3192 KB Output is correct
23 Correct 5 ms 3192 KB Output is correct
24 Correct 5 ms 3064 KB Output is correct
25 Correct 14 ms 9076 KB Output is correct
26 Correct 15 ms 9084 KB Output is correct
27 Correct 15 ms 9076 KB Output is correct
28 Correct 14 ms 8184 KB Output is correct
29 Correct 16 ms 8312 KB Output is correct
30 Correct 16 ms 8184 KB Output is correct
31 Correct 16 ms 8312 KB Output is correct
32 Correct 15 ms 8184 KB Output is correct
33 Correct 80 ms 35360 KB Output is correct
34 Correct 80 ms 35320 KB Output is correct
35 Correct 78 ms 35328 KB Output is correct
36 Correct 77 ms 35320 KB Output is correct
37 Correct 157 ms 44804 KB Output is correct
38 Correct 160 ms 44668 KB Output is correct
39 Correct 159 ms 44768 KB Output is correct
40 Correct 149 ms 42228 KB Output is correct
41 Correct 109 ms 37360 KB Output is correct
42 Correct 124 ms 38380 KB Output is correct
43 Correct 146 ms 38508 KB Output is correct
44 Correct 154 ms 38412 KB Output is correct
45 Correct 84 ms 30704 KB Output is correct
46 Correct 68 ms 19440 KB Output is correct
47 Correct 146 ms 38440 KB Output is correct
48 Correct 149 ms 38504 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 2 ms 376 KB Output is correct
51 Correct 3 ms 1404 KB Output is correct
52 Correct 3 ms 1272 KB Output is correct
53 Correct 2 ms 632 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 660 KB Output is correct
2 Correct 3 ms 632 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 3 ms 632 KB Output is correct
6 Correct 3 ms 632 KB Output is correct
7 Correct 3 ms 632 KB Output is correct
8 Correct 3 ms 632 KB Output is correct
9 Correct 3 ms 632 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 3 ms 504 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 632 KB Output is correct
2 Correct 638 ms 100692 KB Output is correct
3 Correct 1495 ms 207532 KB Output is correct
4 Correct 1474 ms 208564 KB Output is correct
5 Correct 1493 ms 208600 KB Output is correct
6 Correct 467 ms 94840 KB Output is correct
7 Correct 1038 ms 187344 KB Output is correct
8 Correct 1099 ms 192004 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 3 ms 1404 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 632 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 1400 KB Output is correct
3 Correct 3 ms 1400 KB Output is correct
4 Correct 3 ms 1400 KB Output is correct
5 Correct 3 ms 1400 KB Output is correct
6 Correct 3 ms 1400 KB Output is correct
7 Correct 3 ms 1400 KB Output is correct
8 Correct 2 ms 760 KB Output is correct
9 Correct 3 ms 1400 KB Output is correct
10 Correct 3 ms 1400 KB Output is correct
11 Correct 3 ms 1400 KB Output is correct
12 Correct 3 ms 1272 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 632 KB Output is correct
15 Correct 2 ms 632 KB Output is correct
16 Correct 2 ms 504 KB Output is correct
17 Correct 5 ms 3320 KB Output is correct
18 Correct 5 ms 3320 KB Output is correct
19 Correct 5 ms 3324 KB Output is correct
20 Correct 5 ms 3064 KB Output is correct
21 Correct 5 ms 3192 KB Output is correct
22 Correct 5 ms 3192 KB Output is correct
23 Correct 5 ms 3192 KB Output is correct
24 Correct 5 ms 3064 KB Output is correct
25 Correct 14 ms 9076 KB Output is correct
26 Correct 15 ms 9084 KB Output is correct
27 Correct 15 ms 9076 KB Output is correct
28 Correct 14 ms 8184 KB Output is correct
29 Correct 16 ms 8312 KB Output is correct
30 Correct 16 ms 8184 KB Output is correct
31 Correct 16 ms 8312 KB Output is correct
32 Correct 15 ms 8184 KB Output is correct
33 Correct 80 ms 35360 KB Output is correct
34 Correct 80 ms 35320 KB Output is correct
35 Correct 78 ms 35328 KB Output is correct
36 Correct 77 ms 35320 KB Output is correct
37 Correct 157 ms 44804 KB Output is correct
38 Correct 160 ms 44668 KB Output is correct
39 Correct 159 ms 44768 KB Output is correct
40 Correct 149 ms 42228 KB Output is correct
41 Correct 109 ms 37360 KB Output is correct
42 Correct 124 ms 38380 KB Output is correct
43 Correct 146 ms 38508 KB Output is correct
44 Correct 154 ms 38412 KB Output is correct
45 Correct 84 ms 30704 KB Output is correct
46 Correct 68 ms 19440 KB Output is correct
47 Correct 146 ms 38440 KB Output is correct
48 Correct 149 ms 38504 KB Output is correct
49 Correct 3 ms 660 KB Output is correct
50 Correct 3 ms 632 KB Output is correct
51 Correct 2 ms 504 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 3 ms 632 KB Output is correct
54 Correct 3 ms 632 KB Output is correct
55 Correct 3 ms 632 KB Output is correct
56 Correct 3 ms 632 KB Output is correct
57 Correct 3 ms 632 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 3 ms 504 KB Output is correct
60 Correct 2 ms 632 KB Output is correct
61 Correct 638 ms 100692 KB Output is correct
62 Correct 1495 ms 207532 KB Output is correct
63 Correct 1474 ms 208564 KB Output is correct
64 Correct 1493 ms 208600 KB Output is correct
65 Correct 467 ms 94840 KB Output is correct
66 Correct 1038 ms 187344 KB Output is correct
67 Correct 1099 ms 192004 KB Output is correct
68 Correct 1237 ms 190328 KB Output is correct
69 Correct 1240 ms 190328 KB Output is correct
70 Correct 1115 ms 190100 KB Output is correct
71 Correct 1129 ms 190320 KB Output is correct
72 Correct 2388 ms 323592 KB Output is correct
73 Correct 1142 ms 131868 KB Output is correct
74 Correct 1331 ms 181376 KB Output is correct
75 Correct 1951 ms 224768 KB Output is correct
76 Correct 1191 ms 131896 KB Output is correct
77 Correct 1663 ms 210320 KB Output is correct
78 Correct 2049 ms 224968 KB Output is correct
79 Correct 1156 ms 132048 KB Output is correct
80 Correct 2019 ms 225108 KB Output is correct
81 Correct 1947 ms 219836 KB Output is correct
82 Correct 1377 ms 228392 KB Output is correct
83 Correct 2412 ms 323348 KB Output is correct
84 Correct 2380 ms 323396 KB Output is correct
85 Correct 2359 ms 323492 KB Output is correct
86 Correct 2 ms 376 KB Output is correct
87 Correct 2 ms 376 KB Output is correct
88 Correct 3 ms 1404 KB Output is correct
89 Correct 3 ms 1272 KB Output is correct
90 Correct 2 ms 632 KB Output is correct