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답안 #153570

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
153570 2019-09-14T16:05:01 Z myungwoo Rectangles (IOI19_rect) C++14
72 / 100
 5000 ms 335584 KB 
#include <bits/stdc++.h>
#include "rect.h"
using namespace std;

#define fr first
#define sc second
#define pb push_back
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
typedef long long lld;
typedef pair<int, int> pii;

int N, M;
int A[2502][2502];
pii ver[2502][2502], hor[2502][2502];

struct SEGMENT {
	short a, b, t, dp;
	bool operator < (const SEGMENT &ot)const{
		if (t != ot.t) return t < ot.t;
		if (a != ot.a) return a < ot.a;
		return b < ot.b;
	}
	bool operator == (const SEGMENT &ot)const{
		return a == ot.a && b == ot.b && t == ot.t;
	}
	bool operator != (const SEGMENT &ot)const{
		return a != ot.a || b != ot.b || t != ot.t;
	}
};

struct RECT {
	short a, b, c, d;
	bool operator < (const RECT &ot)const{
		if (a != ot.a) return a < ot.a;
		if (b != ot.b) return b < ot.b;
		if (c != ot.c) return c < ot.c;
		return d < ot.d;
	}
	bool operator != (const RECT &ot)const{
		return a != ot.a || b != ot.b || c != ot.c || d != ot.d;
	}
};

lld count_rectangles(vector<vector<int>> a)
{
	N = sz(a); M = sz(a[0]);
	for (int i=1;i<=N;i++) for (int j=1;j<=M;j++) A[i][j] = a[i-1][j-1];
	vector <SEGMENT> vertical, horizontal;
	for (int i=1;i<=N;i++){
		{
			stack <int> stk;
			for (int j=1;j<=M;j++){
				while (!stk.empty() && A[i][stk.top()] <= A[i][j]) stk.pop();
				hor[i][j].fr = stk.empty() ? 1 : stk.top()+1;
				stk.push(j);
			}
		}
		{
			stack <int> stk;
			for (int j=M;j;j--){
				while (!stk.empty() && A[i][stk.top()] <= A[i][j]) stk.pop();
				hor[i][j].sc = stk.empty() ? M : stk.top()-1;
				stk.push(j);
			}
		}
	}
	for (int j=1;j<=M;j++){
		{
			stack <int> stk;
			for (int i=1;i<=N;i++){
				while (!stk.empty() && A[stk.top()][j] <= A[i][j]) stk.pop();
				ver[i][j].fr = stk.empty() ? 1 : stk.top()+1;
				stk.push(i);
			}
		}
		{
			stack <int> stk;
			for (int i=N;i;i--){
				while (!stk.empty() && A[stk.top()][j] <= A[i][j]) stk.pop();
				ver[i][j].sc = stk.empty() ? N : stk.top()-1;
				stk.push(i);
			}
		}
	}

	for (int i=1;i<=N;i++) for (int j=1;j<=M;j++){
		horizontal.pb({hor[i][j].fr, hor[i][j].sc, i});
		vertical.pb({ver[i][j].fr, ver[i][j].sc, j});
	}

	sort(all(horizontal));
	sort(all(vertical));
	for (auto i=horizontal.begin(),j=i;i!=horizontal.end();i++){
		while (*j < SEGMENT{i->a, i->b, i->t-1}) j++;
		if (*j == SEGMENT{i->a, i->b, i->t-1}) i->dp = j->dp+1;
		else i->dp = 1;
	}
	for (auto i=vertical.begin(),j=i;i!=vertical.end();i++){
		while (*j < SEGMENT{i->a, i->b, i->t-1}) j++;
		if (*j == SEGMENT{i->a, i->b, i->t-1}) i->dp = j->dp+1;
		else i->dp = 1;
	}

	vector <RECT> rects;
	for (int i=1;i<=N;i++) for (int j=1;j<=M;j++){
		int sy = ver[i][j].fr, ey = ver[i][j].sc;
		int sx = hor[i][j].fr, ex = hor[i][j].sc;

		if (sy == 1 || sx == 1 || ey == N || ex == M) continue;
		{
			auto it = lower_bound(all(vertical), SEGMENT{sy, ey, ex});
			if (it == vertical.end() || *it != SEGMENT{sy, ey, ex} || it->dp <= ex-sx) continue;
		}
		{
			auto it = lower_bound(all(horizontal), SEGMENT{sx, ex, ey});
			if (it == horizontal.end() || *it != SEGMENT{sx, ex, ey} || it->dp <= ey-sy) continue;
		}
		rects.pb({sy, sx, ey, ex});
	}
	sort(all(rects));
	int ans = 0;
	for (int i=0;i<sz(rects);i++) if (i == 0 || rects[i-1] != rects[i]) ans++;
	return ans;
}

Compilation message

rect.cpp: In function 'lld count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:5:12: warning: narrowing conversion of 'hor[i][j].std::pair<int, int>::first' from 'int' to 'short int' inside { } [-Wnarrowing]
 #define fr first
            ^
rect.cpp:88:28: note: in expansion of macro 'fr'
   horizontal.pb({hor[i][j].fr, hor[i][j].sc, i});
                            ^~
rect.cpp:6:12: warning: narrowing conversion of 'hor[i][j].std::pair<int, int>::second' from 'int' to 'short int' inside { } [-Wnarrowing]
 #define sc second
            ^
rect.cpp:88:42: note: in expansion of macro 'sc'
   horizontal.pb({hor[i][j].fr, hor[i][j].sc, i});
                                          ^~
rect.cpp:88:48: warning: narrowing conversion of 'i' from 'int' to 'short int' inside { } [-Wnarrowing]
   horizontal.pb({hor[i][j].fr, hor[i][j].sc, i});
                                                ^
rect.cpp:5:12: warning: narrowing conversion of 'ver[i][j].std::pair<int, int>::first' from 'int' to 'short int' inside { } [-Wnarrowing]
 #define fr first
            ^
rect.cpp:89:26: note: in expansion of macro 'fr'
   vertical.pb({ver[i][j].fr, ver[i][j].sc, j});
                          ^~
rect.cpp:6:12: warning: narrowing conversion of 'ver[i][j].std::pair<int, int>::second' from 'int' to 'short int' inside { } [-Wnarrowing]
 #define sc second
            ^
rect.cpp:89:40: note: in expansion of macro 'sc'
   vertical.pb({ver[i][j].fr, ver[i][j].sc, j});
                                        ^~
rect.cpp:89:46: warning: narrowing conversion of 'j' from 'int' to 'short int' inside { } [-Wnarrowing]
   vertical.pb({ver[i][j].fr, ver[i][j].sc, j});
                                              ^
rect.cpp:95:39: warning: narrowing conversion of '(((int)i.__gnu_cxx::__normal_iterator<SEGMENT*, std::vector<SEGMENT> >::operator->()->SEGMENT::t) - 1)' from 'int' to 'short int' inside { } [-Wnarrowing]
   while (*j < SEGMENT{i->a, i->b, i->t-1}) j++;
                                   ~~~~^~
rect.cpp:96:37: warning: narrowing conversion of '(((int)i.__gnu_cxx::__normal_iterator<SEGMENT*, std::vector<SEGMENT> >::operator->()->SEGMENT::t) - 1)' from 'int' to 'short int' inside { } [-Wnarrowing]
   if (*j == SEGMENT{i->a, i->b, i->t-1}) i->dp = j->dp+1;
                                 ~~~~^~
rect.cpp:100:39: warning: narrowing conversion of '(((int)i.__gnu_cxx::__normal_iterator<SEGMENT*, std::vector<SEGMENT> >::operator->()->SEGMENT::t) - 1)' from 'int' to 'short int' inside { } [-Wnarrowing]
   while (*j < SEGMENT{i->a, i->b, i->t-1}) j++;
                                   ~~~~^~
rect.cpp:101:37: warning: narrowing conversion of '(((int)i.__gnu_cxx::__normal_iterator<SEGMENT*, std::vector<SEGMENT> >::operator->()->SEGMENT::t) - 1)' from 'int' to 'short int' inside { } [-Wnarrowing]
   if (*j == SEGMENT{i->a, i->b, i->t-1}) i->dp = j->dp+1;
                                 ~~~~^~
rect.cpp:112:59: warning: narrowing conversion of 'sy' from 'int' to 'short int' inside { } [-Wnarrowing]
    auto it = lower_bound(all(vertical), SEGMENT{sy, ey, ex});
                                                           ^
rect.cpp:112:59: warning: narrowing conversion of 'ey' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:112:59: warning: narrowing conversion of 'ex' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:113:57: warning: narrowing conversion of 'sy' from 'int' to 'short int' inside { } [-Wnarrowing]
    if (it == vertical.end() || *it != SEGMENT{sy, ey, ex} || it->dp <= ex-sx) continue;
                                                         ^
rect.cpp:113:57: warning: narrowing conversion of 'ey' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:113:57: warning: narrowing conversion of 'ex' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:116:61: warning: narrowing conversion of 'sx' from 'int' to 'short int' inside { } [-Wnarrowing]
    auto it = lower_bound(all(horizontal), SEGMENT{sx, ex, ey});
                                                             ^
rect.cpp:116:61: warning: narrowing conversion of 'ex' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:116:61: warning: narrowing conversion of 'ey' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:117:59: warning: narrowing conversion of 'sx' from 'int' to 'short int' inside { } [-Wnarrowing]
    if (it == horizontal.end() || *it != SEGMENT{sx, ex, ey} || it->dp <= ey-sy) continue;
                                                           ^
rect.cpp:117:59: warning: narrowing conversion of 'ex' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:117:59: warning: narrowing conversion of 'ey' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:119:28: warning: narrowing conversion of 'sy' from 'int' to 'short int' inside { } [-Wnarrowing]
   rects.pb({sy, sx, ey, ex});
                            ^
rect.cpp:119:28: warning: narrowing conversion of 'sx' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:119:28: warning: narrowing conversion of 'ey' from 'int' to 'short int' inside { } [-Wnarrowing]
rect.cpp:119:28: warning: narrowing conversion of 'ex' from 'int' to 'short int' inside { } [-Wnarrowing]

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 760 KB Output is correct
5 Correct 3 ms 760 KB Output is correct
6 Correct 3 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 760 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 760 KB Output is correct
12 Correct 3 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 356 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 760 KB Output is correct
20 Correct 2 ms 760 KB Output is correct
21 Correct 2 ms 376 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 760 KB Output is correct
5 Correct 3 ms 760 KB Output is correct
6 Correct 3 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 760 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 760 KB Output is correct
12 Correct 3 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 4 ms 1656 KB Output is correct
18 Correct 6 ms 1656 KB Output is correct
19 Correct 6 ms 1656 KB Output is correct
20 Correct 5 ms 1656 KB Output is correct
21 Correct 6 ms 1656 KB Output is correct
22 Correct 6 ms 1596 KB Output is correct
23 Correct 6 ms 1656 KB Output is correct
24 Correct 5 ms 1528 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 760 KB Output is correct
28 Correct 2 ms 760 KB Output is correct
29 Correct 2 ms 376 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 760 KB Output is correct
5 Correct 3 ms 760 KB Output is correct
6 Correct 3 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 760 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 760 KB Output is correct
12 Correct 3 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 4 ms 1656 KB Output is correct
18 Correct 6 ms 1656 KB Output is correct
19 Correct 6 ms 1656 KB Output is correct
20 Correct 5 ms 1656 KB Output is correct
21 Correct 6 ms 1656 KB Output is correct
22 Correct 6 ms 1596 KB Output is correct
23 Correct 6 ms 1656 KB Output is correct
24 Correct 5 ms 1528 KB Output is correct
25 Correct 21 ms 5224 KB Output is correct
26 Correct 21 ms 5200 KB Output is correct
27 Correct 22 ms 5352 KB Output is correct
28 Correct 22 ms 4852 KB Output is correct
29 Correct 27 ms 4856 KB Output is correct
30 Correct 28 ms 4852 KB Output is correct
31 Correct 28 ms 4916 KB Output is correct
32 Correct 28 ms 4808 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 760 KB Output is correct
36 Correct 2 ms 760 KB Output is correct
37 Correct 2 ms 376 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 760 KB Output is correct
5 Correct 3 ms 760 KB Output is correct
6 Correct 3 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 760 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 760 KB Output is correct
12 Correct 3 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 4 ms 1656 KB Output is correct
18 Correct 6 ms 1656 KB Output is correct
19 Correct 6 ms 1656 KB Output is correct
20 Correct 5 ms 1656 KB Output is correct
21 Correct 6 ms 1656 KB Output is correct
22 Correct 6 ms 1596 KB Output is correct
23 Correct 6 ms 1656 KB Output is correct
24 Correct 5 ms 1528 KB Output is correct
25 Correct 21 ms 5224 KB Output is correct
26 Correct 21 ms 5200 KB Output is correct
27 Correct 22 ms 5352 KB Output is correct
28 Correct 22 ms 4852 KB Output is correct
29 Correct 27 ms 4856 KB Output is correct
30 Correct 28 ms 4852 KB Output is correct
31 Correct 28 ms 4916 KB Output is correct
32 Correct 28 ms 4808 KB Output is correct
33 Correct 162 ms 30128 KB Output is correct
34 Correct 156 ms 30280 KB Output is correct
35 Correct 165 ms 30160 KB Output is correct
36 Correct 149 ms 30156 KB Output is correct
37 Correct 255 ms 36092 KB Output is correct
38 Correct 259 ms 36132 KB Output is correct
39 Correct 257 ms 36032 KB Output is correct
40 Correct 241 ms 34120 KB Output is correct
41 Correct 226 ms 30456 KB Output is correct
42 Correct 261 ms 30968 KB Output is correct
43 Correct 358 ms 33228 KB Output is correct
44 Correct 349 ms 33356 KB Output is correct
45 Correct 178 ms 21080 KB Output is correct
46 Correct 168 ms 16812 KB Output is correct
47 Correct 363 ms 33960 KB Output is correct
48 Correct 366 ms 33876 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 760 KB Output is correct
52 Correct 2 ms 760 KB Output is correct
53 Correct 2 ms 376 KB Output is correct

Subtask #5
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 760 KB Output is correct
2 Correct 5 ms 676 KB Output is correct
3 Correct 4 ms 760 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 5 ms 632 KB Output is correct
6 Correct 5 ms 760 KB Output is correct
7 Correct 5 ms 688 KB Output is correct
8 Correct 5 ms 692 KB Output is correct
9 Correct 5 ms 688 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 4 ms 632 KB Output is correct

Subtask #6
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 1506 ms 132792 KB Output is correct
3 Correct 3484 ms 275068 KB Output is correct
4 Correct 3473 ms 276264 KB Output is correct
5 Correct 3488 ms 276488 KB Output is correct
6 Correct 792 ms 134532 KB Output is correct
7 Correct 1598 ms 267576 KB Output is correct
8 Correct 1670 ms 270688 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 760 KB Output is correct
12 Correct 2 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct

Subtask #7
0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 760 KB Output is correct
3 Correct 3 ms 760 KB Output is correct
4 Correct 3 ms 760 KB Output is correct
5 Correct 3 ms 760 KB Output is correct
6 Correct 3 ms 760 KB Output is correct
7 Correct 2 ms 760 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 3 ms 760 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 760 KB Output is correct
12 Correct 3 ms 760 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 356 KB Output is correct
17 Correct 4 ms 1656 KB Output is correct
18 Correct 6 ms 1656 KB Output is correct
19 Correct 6 ms 1656 KB Output is correct
20 Correct 5 ms 1656 KB Output is correct
21 Correct 6 ms 1656 KB Output is correct
22 Correct 6 ms 1596 KB Output is correct
23 Correct 6 ms 1656 KB Output is correct
24 Correct 5 ms 1528 KB Output is correct
25 Correct 21 ms 5224 KB Output is correct
26 Correct 21 ms 5200 KB Output is correct
27 Correct 22 ms 5352 KB Output is correct
28 Correct 22 ms 4852 KB Output is correct
29 Correct 27 ms 4856 KB Output is correct
30 Correct 28 ms 4852 KB Output is correct
31 Correct 28 ms 4916 KB Output is correct
32 Correct 28 ms 4808 KB Output is correct
33 Correct 162 ms 30128 KB Output is correct
34 Correct 156 ms 30280 KB Output is correct
35 Correct 165 ms 30160 KB Output is correct
36 Correct 149 ms 30156 KB Output is correct
37 Correct 255 ms 36092 KB Output is correct
38 Correct 259 ms 36132 KB Output is correct
39 Correct 257 ms 36032 KB Output is correct
40 Correct 241 ms 34120 KB Output is correct
41 Correct 226 ms 30456 KB Output is correct
42 Correct 261 ms 30968 KB Output is correct
43 Correct 358 ms 33228 KB Output is correct
44 Correct 349 ms 33356 KB Output is correct
45 Correct 178 ms 21080 KB Output is correct
46 Correct 168 ms 16812 KB Output is correct
47 Correct 363 ms 33960 KB Output is correct
48 Correct 366 ms 33876 KB Output is correct
49 Correct 5 ms 760 KB Output is correct
50 Correct 5 ms 676 KB Output is correct
51 Correct 4 ms 760 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 5 ms 632 KB Output is correct
54 Correct 5 ms 760 KB Output is correct
55 Correct 5 ms 688 KB Output is correct
56 Correct 5 ms 692 KB Output is correct
57 Correct 5 ms 688 KB Output is correct
58 Correct 3 ms 504 KB Output is correct
59 Correct 4 ms 632 KB Output is correct
60 Correct 2 ms 504 KB Output is correct
61 Correct 1506 ms 132792 KB Output is correct
62 Correct 3484 ms 275068 KB Output is correct
63 Correct 3473 ms 276264 KB Output is correct
64 Correct 3488 ms 276488 KB Output is correct
65 Correct 792 ms 134532 KB Output is correct
66 Correct 1598 ms 267576 KB Output is correct
67 Correct 1670 ms 270688 KB Output is correct
68 Correct 2519 ms 270752 KB Output is correct
69 Correct 2303 ms 270656 KB Output is correct
70 Correct 2474 ms 270648 KB Output is correct
71 Correct 2366 ms 270620 KB Output is correct
72 Correct 3783 ms 335584 KB Output is correct
73 Correct 3108 ms 188624 KB Output is correct
74 Correct 3311 ms 226776 KB Output is correct
75 Execution timed out 5086 ms 301720 KB Time limit exceeded
76 Halted 0 ms 0 KB -