oj.uz

Submission #256809

# Submission time Handle Problem Language Result Execution time Memory
256809 2020-08-03T08:49:53 Z atoiz Rectangles (IOI19_rect) C++14
100 / 100
 3219 ms 837336 KB 
#include "rect.h"
#include <iostream>
#include <vector>
#include <algorithm>
#include <cassert>
#include <cstring>

using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define x first
#define y second

#define FOR(i, a, b) for (int i = a; i <= b; ++i)
#define FORA(i, a) for (auto &i : a)
#define FORB(i, a, b) for (int i = a; i >= b; --i)

const int MAXN = 2505;
int R, C, A[MAXN][MAXN];

int prv[MAXN], nxt[MAXN], last[MAXN][MAXN], endp[MAXN][MAXN];
vector<pii> boundLR[MAXN][MAXN], boundUD[MAXN][MAXN];

int bit[MAXN];
void modify(int i, int x) {
	for (; i < MAXN; i += (i & (-i))) bit[i] += x;
}
int get(int i) {
	int ans = 0;
	for (; i > 0; i -= i & (-i)) ans += bit[i];
	return ans;
}

ll count_rectangles(vector<vector<int>> _A) {
	R = (int) _A.size(), C = (int) _A[0].size();
	FOR(i, 1, R) FOR(j, 1, C) A[i][j] = _A[i - 1][j - 1];

	// for each row
	FOR(l, 1, C) FOR(r, l + 2, C) last[l][r] = -1;
	FORB(r, R, 2) {
		prv[1] = 0, nxt[C] = C + 1;
		FOR(c, 2, C) for (prv[c] = c - 1; prv[c] > 0 && A[r][prv[c]] <= A[r][c]; prv[c] = prv[prv[c]]);
		FORB(c, C - 1, 1) for (nxt[c] = c + 1; nxt[c] <= C && A[r][nxt[c]] <= A[r][c]; nxt[c] = nxt[nxt[c]]);
		FOR(c, 1, C) if (1 <= prv[c] && nxt[c] <= C) {
			int c0 = prv[c], c1 = nxt[c];
			if (last[c0][c1] == r) continue;
			if (last[c0][c1] != r + 1) endp[c0][c1] = r + 1;
			last[c0][c1] = r;
			boundLR[r - 1][c0].emplace_back(endp[c0][c1], c1);
		}
	}

	// for each col
	FOR(r0, 1, R) FOR(r1, r0 + 2, R) last[r0][r1] = -1;
	FORB(c, C, 2) {
		prv[1] = 0, nxt[R] = R + 1;
		FOR(r, 2, R) for (prv[r] = r - 1; prv[r] >= 1 && A[prv[r]][c] <= A[r][c]; prv[r] = prv[prv[r]]);
		FORB(r, R - 1, 1) for (nxt[r] = r + 1; nxt[r] <= R && A[nxt[r]][c] <= A[r][c]; nxt[r] = nxt[nxt[r]]);
		FOR(r, 1, R) if (1 <= prv[r] && nxt[r] <= R) {
			int r0 = prv[r], r1 = nxt[r];
			if (last[r0][r1] == c) continue;
			if (last[r0][r1] != c + 1) endp[r0][r1] = c + 1;
			last[r0][r1] = c;
			boundUD[r0][c - 1].emplace_back(r1, endp[r0][r1]);
		}
	}

	ll ans = 0;
	FOR(rootR, 1, R - 2) FOR(rootC, 1, C - 2) if (!boundLR[rootR][rootC].empty() && !boundUD[rootR][rootC].empty()) {
		auto &curLR = boundLR[rootR][rootC], &curUD = boundUD[rootR][rootC];
		sort(curLR.begin(), curLR.end()), sort(curUD.begin(), curUD.end());
		auto itLR = curLR.begin();
		auto itUD = curUD.begin();
		while (itLR != curLR.end() || itUD != curUD.end()) {
			if (itLR != curLR.end() && (itUD == curUD.end() || itLR->x < itUD->x)) {
				ans += get((C + 5) - (itLR++)->second);
			} else {
				modify((C + 5) - (itUD++)->second, 1);
			}
		}
		for (auto p : curUD) modify((C + 5) - p.second, -1);
	}

	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 295160 KB Output is correct
2 Correct 169 ms 295416 KB Output is correct
3 Correct 181 ms 295540 KB Output is correct
4 Correct 178 ms 295544 KB Output is correct
5 Correct 169 ms 295288 KB Output is correct
6 Correct 169 ms 295416 KB Output is correct
7 Correct 173 ms 295416 KB Output is correct
8 Correct 179 ms 295336 KB Output is correct
9 Correct 177 ms 295476 KB Output is correct
10 Correct 172 ms 295412 KB Output is correct
11 Correct 179 ms 295544 KB Output is correct
12 Correct 181 ms 295368 KB Output is correct
13 Correct 172 ms 295032 KB Output is correct
14 Correct 170 ms 295160 KB Output is correct
15 Correct 179 ms 295288 KB Output is correct
16 Correct 186 ms 295032 KB Output is correct
17 Correct 184 ms 295032 KB Output is correct
18 Correct 168 ms 295056 KB Output is correct
19 Correct 184 ms 295416 KB Output is correct
20 Correct 186 ms 295288 KB Output is correct
21 Correct 169 ms 295108 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 295160 KB Output is correct
2 Correct 169 ms 295416 KB Output is correct
3 Correct 181 ms 295540 KB Output is correct
4 Correct 178 ms 295544 KB Output is correct
5 Correct 169 ms 295288 KB Output is correct
6 Correct 169 ms 295416 KB Output is correct
7 Correct 173 ms 295416 KB Output is correct
8 Correct 179 ms 295336 KB Output is correct
9 Correct 177 ms 295476 KB Output is correct
10 Correct 172 ms 295412 KB Output is correct
11 Correct 179 ms 295544 KB Output is correct
12 Correct 181 ms 295368 KB Output is correct
13 Correct 172 ms 295032 KB Output is correct
14 Correct 170 ms 295160 KB Output is correct
15 Correct 179 ms 295288 KB Output is correct
16 Correct 186 ms 295032 KB Output is correct
17 Correct 166 ms 296440 KB Output is correct
18 Correct 173 ms 296568 KB Output is correct
19 Correct 179 ms 296440 KB Output is correct
20 Correct 170 ms 296184 KB Output is correct
21 Correct 176 ms 296312 KB Output is correct
22 Correct 171 ms 296312 KB Output is correct
23 Correct 164 ms 296344 KB Output is correct
24 Correct 176 ms 296184 KB Output is correct
25 Correct 184 ms 295032 KB Output is correct
26 Correct 168 ms 295056 KB Output is correct
27 Correct 184 ms 295416 KB Output is correct
28 Correct 186 ms 295288 KB Output is correct
29 Correct 169 ms 295108 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 295160 KB Output is correct
2 Correct 169 ms 295416 KB Output is correct
3 Correct 181 ms 295540 KB Output is correct
4 Correct 178 ms 295544 KB Output is correct
5 Correct 169 ms 295288 KB Output is correct
6 Correct 169 ms 295416 KB Output is correct
7 Correct 173 ms 295416 KB Output is correct
8 Correct 179 ms 295336 KB Output is correct
9 Correct 177 ms 295476 KB Output is correct
10 Correct 172 ms 295412 KB Output is correct
11 Correct 179 ms 295544 KB Output is correct
12 Correct 181 ms 295368 KB Output is correct
13 Correct 172 ms 295032 KB Output is correct
14 Correct 170 ms 295160 KB Output is correct
15 Correct 179 ms 295288 KB Output is correct
16 Correct 186 ms 295032 KB Output is correct
17 Correct 166 ms 296440 KB Output is correct
18 Correct 173 ms 296568 KB Output is correct
19 Correct 179 ms 296440 KB Output is correct
20 Correct 170 ms 296184 KB Output is correct
21 Correct 176 ms 296312 KB Output is correct
22 Correct 171 ms 296312 KB Output is correct
23 Correct 164 ms 296344 KB Output is correct
24 Correct 176 ms 296184 KB Output is correct
25 Correct 179 ms 300712 KB Output is correct
26 Correct 178 ms 300664 KB Output is correct
27 Correct 188 ms 300764 KB Output is correct
28 Correct 174 ms 298872 KB Output is correct
29 Correct 178 ms 299640 KB Output is correct
30 Correct 173 ms 299768 KB Output is correct
31 Correct 182 ms 299640 KB Output is correct
32 Correct 174 ms 299640 KB Output is correct
33 Correct 184 ms 295032 KB Output is correct
34 Correct 168 ms 295056 KB Output is correct
35 Correct 184 ms 295416 KB Output is correct
36 Correct 186 ms 295288 KB Output is correct
37 Correct 169 ms 295108 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 295160 KB Output is correct
2 Correct 169 ms 295416 KB Output is correct
3 Correct 181 ms 295540 KB Output is correct
4 Correct 178 ms 295544 KB Output is correct
5 Correct 169 ms 295288 KB Output is correct
6 Correct 169 ms 295416 KB Output is correct
7 Correct 173 ms 295416 KB Output is correct
8 Correct 179 ms 295336 KB Output is correct
9 Correct 177 ms 295476 KB Output is correct
10 Correct 172 ms 295412 KB Output is correct
11 Correct 179 ms 295544 KB Output is correct
12 Correct 181 ms 295368 KB Output is correct
13 Correct 172 ms 295032 KB Output is correct
14 Correct 170 ms 295160 KB Output is correct
15 Correct 179 ms 295288 KB Output is correct
16 Correct 186 ms 295032 KB Output is correct
17 Correct 166 ms 296440 KB Output is correct
18 Correct 173 ms 296568 KB Output is correct
19 Correct 179 ms 296440 KB Output is correct
20 Correct 170 ms 296184 KB Output is correct
21 Correct 176 ms 296312 KB Output is correct
22 Correct 171 ms 296312 KB Output is correct
23 Correct 164 ms 296344 KB Output is correct
24 Correct 176 ms 296184 KB Output is correct
25 Correct 179 ms 300712 KB Output is correct
26 Correct 178 ms 300664 KB Output is correct
27 Correct 188 ms 300764 KB Output is correct
28 Correct 174 ms 298872 KB Output is correct
29 Correct 178 ms 299640 KB Output is correct
30 Correct 173 ms 299768 KB Output is correct
31 Correct 182 ms 299640 KB Output is correct
32 Correct 174 ms 299640 KB Output is correct
33 Correct 261 ms 329524 KB Output is correct
34 Correct 238 ms 324856 KB Output is correct
35 Correct 237 ms 324860 KB Output is correct
36 Correct 217 ms 320120 KB Output is correct
37 Correct 333 ms 344060 KB Output is correct
38 Correct 352 ms 344024 KB Output is correct
39 Correct 336 ms 344312 KB Output is correct
40 Correct 319 ms 341752 KB Output is correct
41 Correct 248 ms 318840 KB Output is correct
42 Correct 283 ms 321400 KB Output is correct
43 Correct 336 ms 330744 KB Output is correct
44 Correct 338 ms 332920 KB Output is correct
45 Correct 256 ms 318840 KB Output is correct
46 Correct 249 ms 317560 KB Output is correct
47 Correct 337 ms 329816 KB Output is correct
48 Correct 331 ms 330904 KB Output is correct
49 Correct 184 ms 295032 KB Output is correct
50 Correct 168 ms 295056 KB Output is correct
51 Correct 184 ms 295416 KB Output is correct
52 Correct 186 ms 295288 KB Output is correct
53 Correct 169 ms 295108 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 178 ms 325624 KB Output is correct
2 Correct 175 ms 320468 KB Output is correct
3 Correct 175 ms 315384 KB Output is correct
4 Correct 163 ms 295032 KB Output is correct
5 Correct 184 ms 323320 KB Output is correct
6 Correct 176 ms 323212 KB Output is correct
7 Correct 178 ms 323064 KB Output is correct
8 Correct 179 ms 322552 KB Output is correct
9 Correct 177 ms 322296 KB Output is correct
10 Correct 178 ms 315256 KB Output is correct
11 Correct 179 ms 320504 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 168 ms 295160 KB Output is correct
2 Correct 642 ms 407576 KB Output is correct
3 Correct 1280 ms 508036 KB Output is correct
4 Correct 1286 ms 508964 KB Output is correct
5 Correct 1237 ms 509044 KB Output is correct
6 Correct 297 ms 357624 KB Output is correct
7 Correct 429 ms 397304 KB Output is correct
8 Correct 446 ms 401144 KB Output is correct
9 Correct 184 ms 295032 KB Output is correct
10 Correct 168 ms 295056 KB Output is correct
11 Correct 184 ms 295416 KB Output is correct
12 Correct 186 ms 295288 KB Output is correct
13 Correct 169 ms 295108 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 295160 KB Output is correct
2 Correct 169 ms 295416 KB Output is correct
3 Correct 181 ms 295540 KB Output is correct
4 Correct 178 ms 295544 KB Output is correct
5 Correct 169 ms 295288 KB Output is correct
6 Correct 169 ms 295416 KB Output is correct
7 Correct 173 ms 295416 KB Output is correct
8 Correct 179 ms 295336 KB Output is correct
9 Correct 177 ms 295476 KB Output is correct
10 Correct 172 ms 295412 KB Output is correct
11 Correct 179 ms 295544 KB Output is correct
12 Correct 181 ms 295368 KB Output is correct
13 Correct 172 ms 295032 KB Output is correct
14 Correct 170 ms 295160 KB Output is correct
15 Correct 179 ms 295288 KB Output is correct
16 Correct 186 ms 295032 KB Output is correct
17 Correct 166 ms 296440 KB Output is correct
18 Correct 173 ms 296568 KB Output is correct
19 Correct 179 ms 296440 KB Output is correct
20 Correct 170 ms 296184 KB Output is correct
21 Correct 176 ms 296312 KB Output is correct
22 Correct 171 ms 296312 KB Output is correct
23 Correct 164 ms 296344 KB Output is correct
24 Correct 176 ms 296184 KB Output is correct
25 Correct 179 ms 300712 KB Output is correct
26 Correct 178 ms 300664 KB Output is correct
27 Correct 188 ms 300764 KB Output is correct
28 Correct 174 ms 298872 KB Output is correct
29 Correct 178 ms 299640 KB Output is correct
30 Correct 173 ms 299768 KB Output is correct
31 Correct 182 ms 299640 KB Output is correct
32 Correct 174 ms 299640 KB Output is correct
33 Correct 261 ms 329524 KB Output is correct
34 Correct 238 ms 324856 KB Output is correct
35 Correct 237 ms 324860 KB Output is correct
36 Correct 217 ms 320120 KB Output is correct
37 Correct 333 ms 344060 KB Output is correct
38 Correct 352 ms 344024 KB Output is correct
39 Correct 336 ms 344312 KB Output is correct
40 Correct 319 ms 341752 KB Output is correct
41 Correct 248 ms 318840 KB Output is correct
42 Correct 283 ms 321400 KB Output is correct
43 Correct 336 ms 330744 KB Output is correct
44 Correct 338 ms 332920 KB Output is correct
45 Correct 256 ms 318840 KB Output is correct
46 Correct 249 ms 317560 KB Output is correct
47 Correct 337 ms 329816 KB Output is correct
48 Correct 331 ms 330904 KB Output is correct
49 Correct 178 ms 325624 KB Output is correct
50 Correct 175 ms 320468 KB Output is correct
51 Correct 175 ms 315384 KB Output is correct
52 Correct 163 ms 295032 KB Output is correct
53 Correct 184 ms 323320 KB Output is correct
54 Correct 176 ms 323212 KB Output is correct
55 Correct 178 ms 323064 KB Output is correct
56 Correct 179 ms 322552 KB Output is correct
57 Correct 177 ms 322296 KB Output is correct
58 Correct 178 ms 315256 KB Output is correct
59 Correct 179 ms 320504 KB Output is correct
60 Correct 168 ms 295160 KB Output is correct
61 Correct 642 ms 407576 KB Output is correct
62 Correct 1280 ms 508036 KB Output is correct
63 Correct 1286 ms 508964 KB Output is correct
64 Correct 1237 ms 509044 KB Output is correct
65 Correct 297 ms 357624 KB Output is correct
66 Correct 429 ms 397304 KB Output is correct
67 Correct 446 ms 401144 KB Output is correct
68 Correct 1501 ms 650800 KB Output is correct
69 Correct 1486 ms 584624 KB Output is correct
70 Correct 1090 ms 584440 KB Output is correct
71 Correct 925 ms 517368 KB Output is correct
72 Correct 3052 ms 837336 KB Output is correct
73 Correct 1594 ms 527864 KB Output is correct
74 Correct 1750 ms 558200 KB Output is correct
75 Correct 2651 ms 660788 KB Output is correct
76 Correct 1632 ms 545912 KB Output is correct
77 Correct 2143 ms 622712 KB Output is correct
78 Correct 2686 ms 689296 KB Output is correct
79 Correct 1573 ms 521168 KB Output is correct
80 Correct 2944 ms 663516 KB Output is correct
81 Correct 2756 ms 655312 KB Output is correct
82 Correct 1970 ms 648256 KB Output is correct
83 Correct 3219 ms 831064 KB Output is correct
84 Correct 3053 ms 836856 KB Output is correct
85 Correct 3055 ms 836312 KB Output is correct
86 Correct 184 ms 295032 KB Output is correct
87 Correct 168 ms 295056 KB Output is correct
88 Correct 184 ms 295416 KB Output is correct
89 Correct 186 ms 295288 KB Output is correct
90 Correct 169 ms 295108 KB Output is correct