oj.uz

Submission #1031193

# Submission time Handle Problem Language Result Execution time Memory
1031193 2024-07-22T15:59:07 Z Dan4Life Rectangles (IOI19_rect) C++17
100 / 100
 3309 ms 818736 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;

#define pb push_back
#define sz(a) (int)a.size()
#define all(a) begin(a),end(a)

using ll = long long;
using vi = vector<int>;
using ar2 = array<int16_t,2>;

const int mxN = 2502;

int n, m;
bitset<mxN> grid[mxN];
vector<int16_t> row[mxN][mxN], col[mxN][mxN];
deque<ar2> lines[mxN];
vector<int16_t> grid2[mxN];
int16_t R[mxN][mxN];

struct Fenwick2D{
    int fen[mxN][mxN];
    void init(int n, int m){
        for(int i = 1; i <= n; i++)
            for(int j = 1; j <= m; j++)
                fen[i][j]=0;
    }
    void upd(int _x, int _y, int v){
        _x++, _y++;
        for(int x = _x; x<mxN; x+=x&-x)
            for(int y = _y; y < mxN; y+=y&-y)
                fen[x][y]+=v;
    }
    int sum(int _x, int _y){
        int s = 0; _x++, _y++;
        for(int x = _x; x>0; x-=x&-x)
            for(int y = _y; y>0; y-=y&-y)
                s+=fen[x][y];
        return s;
    }
    int sum(int x1, int y1, int x2, int y2){
        return sum(x2,y2)-sum(x1-1,y2)-sum(x2,y1-1)+sum(x1-1,y1-1);
    }
} fen2d;

ll count_rectangles(vector<vi> a) {
    n = sz(a); m = sz(a[0]); ll ans = 0;
    for(int i = 0; i < n; i++){
        stack<int> S = stack<int>();
        for(int j = m-1; j >= 0; j--){
            while(sz(S) and a[i][S.top()]<a[i][j]) S.pop();
            if(sz(S) and abs(S.top()-j)>1)
                row[i][j].pb(S.top());
            S.push(j);
        }
        S = stack<int>();
        for(int j = 0; j < m; j++){
            while(sz(S) and a[i][S.top()]<a[i][j]) S.pop();
            if(sz(S) and abs(S.top()-j)>1)
                if(a[i][S.top()]!=a[i][j]) 
                    row[i][S.top()].pb(j);
            S.push(j);
        }
    }
    for(int j = 0; j < m; j++){
        stack<int> S = stack<int>();
        for(int i = n-1; i >= 0; i--){
            while(sz(S) and a[S.top()][j]<a[i][j]) S.pop();
            if(sz(S) and abs(S.top()-i)>1)
                col[i][j].pb(S.top());
            S.push(i);
        }
        S = stack<int>();
        for(int i = 0; i < n; i++){
            while(sz(S) and a[S.top()][j]<a[i][j]) S.pop();
            if(sz(S) and abs(S.top()-i)>1)
                if(a[S.top()][j]!=a[i][j])
                    col[S.top()][j].pb(i);
            S.push(i);
        }
    }
    for(int i = 0; i < n; i++)
        for(int j = 0; j < m; j++)
            sort(all(row[i][j])), sort(all(col[i][j]));
    fen2d.init(n,m);
    for(int i = 1; i < n-1; i++){
        for(int j = 0; j < m; j++)
            for(auto u : col[i-1][j]) 
                grid[u][j]=1, grid2[u].pb(j);
        for(int k = 0; k < n; k++){
            for(auto u : grid2[k]){
                int y = u;
                if(!y or !grid[k][y-1]){
                    while(y<m-1 and grid[k][y+1]) y++;
                    lines[u].pb({k,y});
                }
            }
        }
        for(auto [x,y] : lines[0]) fen2d.upd(x,y,1);
        for(int j = 0; j < m; j++){
            for(auto [x,y] : lines[j+1]) fen2d.upd(x,y,1);
            for(auto k : row[i][j]){
                if(i==1 or !binary_search(all(row[i-1][j]),k)){
                    R[j][k] = i+1;
                    while(R[j][k]<n and binary_search(all(row[R[j][k]][j]),k)) R[j][k]++;
                }
                int xd = fen2d.sum(i+1,k-1,R[j][k],mxN-2); ans+=xd;
            }
            for(auto u : col[i-1][j]) grid[u][j]=0;
        }
        for(int j = 0; j < m; j++){
            for(auto [x,y] : lines[j]) fen2d.upd(x,y,-1);
            lines[j].clear();
        }
        for(int k = 0; k < n; k++) grid2[k].clear();
    }
    return ans;
}

Compilation message

rect.cpp: In function 'll count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:96:34: warning: narrowing conversion of 'k' from 'int' to 'short int' [-Wnarrowing]
   96 |                     lines[u].pb({k,y});
      |                                  ^
rect.cpp:96:36: warning: narrowing conversion of 'y' from 'int' to 'short int' [-Wnarrowing]
   96 |                     lines[u].pb({k,y});
      |                                    ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 296292 KB Output is correct
2 Correct 119 ms 296596 KB Output is correct
3 Correct 137 ms 296528 KB Output is correct
4 Correct 124 ms 296532 KB Output is correct
5 Correct 116 ms 296272 KB Output is correct
6 Correct 119 ms 296744 KB Output is correct
7 Correct 137 ms 296784 KB Output is correct
8 Correct 143 ms 296432 KB Output is correct
9 Correct 119 ms 296708 KB Output is correct
10 Correct 119 ms 296532 KB Output is correct
11 Correct 143 ms 296528 KB Output is correct
12 Correct 118 ms 296532 KB Output is correct
13 Correct 151 ms 296004 KB Output is correct
14 Correct 125 ms 296276 KB Output is correct
15 Correct 122 ms 296016 KB Output is correct
16 Correct 121 ms 296276 KB Output is correct
17 Correct 125 ms 296016 KB Output is correct
18 Correct 119 ms 296184 KB Output is correct
19 Correct 123 ms 296552 KB Output is correct
20 Correct 127 ms 296232 KB Output is correct
21 Correct 121 ms 296064 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 296292 KB Output is correct
2 Correct 119 ms 296596 KB Output is correct
3 Correct 137 ms 296528 KB Output is correct
4 Correct 124 ms 296532 KB Output is correct
5 Correct 116 ms 296272 KB Output is correct
6 Correct 119 ms 296744 KB Output is correct
7 Correct 137 ms 296784 KB Output is correct
8 Correct 143 ms 296432 KB Output is correct
9 Correct 119 ms 296708 KB Output is correct
10 Correct 119 ms 296532 KB Output is correct
11 Correct 143 ms 296528 KB Output is correct
12 Correct 118 ms 296532 KB Output is correct
13 Correct 151 ms 296004 KB Output is correct
14 Correct 125 ms 296276 KB Output is correct
15 Correct 122 ms 296016 KB Output is correct
16 Correct 121 ms 296276 KB Output is correct
17 Correct 125 ms 296016 KB Output is correct
18 Correct 119 ms 296184 KB Output is correct
19 Correct 123 ms 296552 KB Output is correct
20 Correct 127 ms 296232 KB Output is correct
21 Correct 121 ms 296064 KB Output is correct
22 Correct 121 ms 297416 KB Output is correct
23 Correct 143 ms 297368 KB Output is correct
24 Correct 119 ms 297296 KB Output is correct
25 Correct 124 ms 297552 KB Output is correct
26 Correct 127 ms 297552 KB Output is correct
27 Correct 126 ms 297608 KB Output is correct
28 Correct 118 ms 297536 KB Output is correct
29 Correct 128 ms 297252 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 296292 KB Output is correct
2 Correct 119 ms 296596 KB Output is correct
3 Correct 137 ms 296528 KB Output is correct
4 Correct 124 ms 296532 KB Output is correct
5 Correct 116 ms 296272 KB Output is correct
6 Correct 119 ms 296744 KB Output is correct
7 Correct 137 ms 296784 KB Output is correct
8 Correct 143 ms 296432 KB Output is correct
9 Correct 119 ms 296708 KB Output is correct
10 Correct 119 ms 296532 KB Output is correct
11 Correct 143 ms 296528 KB Output is correct
12 Correct 118 ms 296532 KB Output is correct
13 Correct 151 ms 296004 KB Output is correct
14 Correct 125 ms 296276 KB Output is correct
15 Correct 122 ms 296016 KB Output is correct
16 Correct 121 ms 296276 KB Output is correct
17 Correct 121 ms 297416 KB Output is correct
18 Correct 143 ms 297368 KB Output is correct
19 Correct 119 ms 297296 KB Output is correct
20 Correct 124 ms 297552 KB Output is correct
21 Correct 127 ms 297552 KB Output is correct
22 Correct 126 ms 297608 KB Output is correct
23 Correct 118 ms 297536 KB Output is correct
24 Correct 128 ms 297252 KB Output is correct
25 Correct 125 ms 296016 KB Output is correct
26 Correct 119 ms 296184 KB Output is correct
27 Correct 123 ms 296552 KB Output is correct
28 Correct 127 ms 296232 KB Output is correct
29 Correct 121 ms 296064 KB Output is correct
30 Correct 131 ms 301020 KB Output is correct
31 Correct 128 ms 300852 KB Output is correct
32 Correct 132 ms 301052 KB Output is correct
33 Correct 140 ms 300112 KB Output is correct
34 Correct 139 ms 300880 KB Output is correct
35 Correct 137 ms 300884 KB Output is correct
36 Correct 163 ms 300852 KB Output is correct
37 Correct 138 ms 300776 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 296292 KB Output is correct
2 Correct 119 ms 296596 KB Output is correct
3 Correct 137 ms 296528 KB Output is correct
4 Correct 124 ms 296532 KB Output is correct
5 Correct 116 ms 296272 KB Output is correct
6 Correct 119 ms 296744 KB Output is correct
7 Correct 137 ms 296784 KB Output is correct
8 Correct 143 ms 296432 KB Output is correct
9 Correct 119 ms 296708 KB Output is correct
10 Correct 119 ms 296532 KB Output is correct
11 Correct 143 ms 296528 KB Output is correct
12 Correct 118 ms 296532 KB Output is correct
13 Correct 151 ms 296004 KB Output is correct
14 Correct 125 ms 296276 KB Output is correct
15 Correct 122 ms 296016 KB Output is correct
16 Correct 121 ms 296276 KB Output is correct
17 Correct 121 ms 297416 KB Output is correct
18 Correct 143 ms 297368 KB Output is correct
19 Correct 119 ms 297296 KB Output is correct
20 Correct 124 ms 297552 KB Output is correct
21 Correct 127 ms 297552 KB Output is correct
22 Correct 126 ms 297608 KB Output is correct
23 Correct 118 ms 297536 KB Output is correct
24 Correct 128 ms 297252 KB Output is correct
25 Correct 131 ms 301020 KB Output is correct
26 Correct 128 ms 300852 KB Output is correct
27 Correct 132 ms 301052 KB Output is correct
28 Correct 140 ms 300112 KB Output is correct
29 Correct 139 ms 300880 KB Output is correct
30 Correct 137 ms 300884 KB Output is correct
31 Correct 163 ms 300852 KB Output is correct
32 Correct 138 ms 300776 KB Output is correct
33 Correct 125 ms 296016 KB Output is correct
34 Correct 119 ms 296184 KB Output is correct
35 Correct 123 ms 296552 KB Output is correct
36 Correct 127 ms 296232 KB Output is correct
37 Correct 121 ms 296064 KB Output is correct
38 Correct 230 ms 328784 KB Output is correct
39 Correct 241 ms 321872 KB Output is correct
40 Correct 207 ms 321876 KB Output is correct
41 Correct 201 ms 314960 KB Output is correct
42 Correct 252 ms 341328 KB Output is correct
43 Correct 247 ms 341280 KB Output is correct
44 Correct 259 ms 341764 KB Output is correct
45 Correct 252 ms 338920 KB Output is correct
46 Correct 214 ms 318744 KB Output is correct
47 Correct 248 ms 321340 KB Output is correct
48 Correct 440 ms 327768 KB Output is correct
49 Correct 357 ms 329736 KB Output is correct
50 Correct 244 ms 316496 KB Output is correct
51 Correct 242 ms 314536 KB Output is correct
52 Correct 313 ms 327248 KB Output is correct
53 Correct 337 ms 328272 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 123 ms 306516 KB Output is correct
2 Correct 150 ms 304980 KB Output is correct
3 Correct 125 ms 296068 KB Output is correct
4 Correct 126 ms 296280 KB Output is correct
5 Correct 126 ms 301476 KB Output is correct
6 Correct 166 ms 301652 KB Output is correct
7 Correct 134 ms 301608 KB Output is correct
8 Correct 129 ms 301168 KB Output is correct
9 Correct 140 ms 301004 KB Output is correct
10 Correct 113 ms 296272 KB Output is correct
11 Correct 114 ms 296272 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 296016 KB Output is correct
2 Correct 119 ms 296184 KB Output is correct
3 Correct 123 ms 296552 KB Output is correct
4 Correct 127 ms 296232 KB Output is correct
5 Correct 121 ms 296064 KB Output is correct
6 Correct 115 ms 296316 KB Output is correct
7 Correct 645 ms 392280 KB Output is correct
8 Correct 1383 ms 492328 KB Output is correct
9 Correct 1316 ms 493156 KB Output is correct
10 Correct 1382 ms 493268 KB Output is correct
11 Correct 246 ms 338504 KB Output is correct
12 Correct 391 ms 378196 KB Output is correct
13 Correct 436 ms 381972 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 296292 KB Output is correct
2 Correct 119 ms 296596 KB Output is correct
3 Correct 137 ms 296528 KB Output is correct
4 Correct 124 ms 296532 KB Output is correct
5 Correct 116 ms 296272 KB Output is correct
6 Correct 119 ms 296744 KB Output is correct
7 Correct 137 ms 296784 KB Output is correct
8 Correct 143 ms 296432 KB Output is correct
9 Correct 119 ms 296708 KB Output is correct
10 Correct 119 ms 296532 KB Output is correct
11 Correct 143 ms 296528 KB Output is correct
12 Correct 118 ms 296532 KB Output is correct
13 Correct 151 ms 296004 KB Output is correct
14 Correct 125 ms 296276 KB Output is correct
15 Correct 122 ms 296016 KB Output is correct
16 Correct 121 ms 296276 KB Output is correct
17 Correct 121 ms 297416 KB Output is correct
18 Correct 143 ms 297368 KB Output is correct
19 Correct 119 ms 297296 KB Output is correct
20 Correct 124 ms 297552 KB Output is correct
21 Correct 127 ms 297552 KB Output is correct
22 Correct 126 ms 297608 KB Output is correct
23 Correct 118 ms 297536 KB Output is correct
24 Correct 128 ms 297252 KB Output is correct
25 Correct 131 ms 301020 KB Output is correct
26 Correct 128 ms 300852 KB Output is correct
27 Correct 132 ms 301052 KB Output is correct
28 Correct 140 ms 300112 KB Output is correct
29 Correct 139 ms 300880 KB Output is correct
30 Correct 137 ms 300884 KB Output is correct
31 Correct 163 ms 300852 KB Output is correct
32 Correct 138 ms 300776 KB Output is correct
33 Correct 230 ms 328784 KB Output is correct
34 Correct 241 ms 321872 KB Output is correct
35 Correct 207 ms 321876 KB Output is correct
36 Correct 201 ms 314960 KB Output is correct
37 Correct 252 ms 341328 KB Output is correct
38 Correct 247 ms 341280 KB Output is correct
39 Correct 259 ms 341764 KB Output is correct
40 Correct 252 ms 338920 KB Output is correct
41 Correct 214 ms 318744 KB Output is correct
42 Correct 248 ms 321340 KB Output is correct
43 Correct 440 ms 327768 KB Output is correct
44 Correct 357 ms 329736 KB Output is correct
45 Correct 244 ms 316496 KB Output is correct
46 Correct 242 ms 314536 KB Output is correct
47 Correct 313 ms 327248 KB Output is correct
48 Correct 337 ms 328272 KB Output is correct
49 Correct 123 ms 306516 KB Output is correct
50 Correct 150 ms 304980 KB Output is correct
51 Correct 125 ms 296068 KB Output is correct
52 Correct 126 ms 296280 KB Output is correct
53 Correct 126 ms 301476 KB Output is correct
54 Correct 166 ms 301652 KB Output is correct
55 Correct 134 ms 301608 KB Output is correct
56 Correct 129 ms 301168 KB Output is correct
57 Correct 140 ms 301004 KB Output is correct
58 Correct 113 ms 296272 KB Output is correct
59 Correct 114 ms 296272 KB Output is correct
60 Correct 115 ms 296316 KB Output is correct
61 Correct 645 ms 392280 KB Output is correct
62 Correct 1383 ms 492328 KB Output is correct
63 Correct 1316 ms 493156 KB Output is correct
64 Correct 1382 ms 493268 KB Output is correct
65 Correct 246 ms 338504 KB Output is correct
66 Correct 391 ms 378196 KB Output is correct
67 Correct 436 ms 381972 KB Output is correct
68 Correct 125 ms 296016 KB Output is correct
69 Correct 119 ms 296184 KB Output is correct
70 Correct 123 ms 296552 KB Output is correct
71 Correct 127 ms 296232 KB Output is correct
72 Correct 121 ms 296064 KB Output is correct
73 Correct 1733 ms 624664 KB Output is correct
74 Correct 1743 ms 536216 KB Output is correct
75 Correct 1310 ms 536544 KB Output is correct
76 Correct 1178 ms 448036 KB Output is correct
77 Correct 1886 ms 818548 KB Output is correct
78 Correct 1866 ms 486556 KB Output is correct
79 Correct 1910 ms 509912 KB Output is correct
80 Correct 2935 ms 605584 KB Output is correct
81 Correct 1822 ms 502176 KB Output is correct
82 Correct 2582 ms 570324 KB Output is correct
83 Correct 3309 ms 631408 KB Output is correct
84 Correct 1710 ms 484264 KB Output is correct
85 Correct 2942 ms 616628 KB Output is correct
86 Correct 2904 ms 607264 KB Output is correct
87 Correct 1265 ms 619460 KB Output is correct
88 Correct 1821 ms 818368 KB Output is correct
89 Correct 1874 ms 818468 KB Output is correct
90 Correct 1830 ms 818736 KB Output is correct