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Submission #867708

# Submission time Handle Problem Language Result Execution time Memory
867708 2023-10-29T09:44:32 Z JakobZorz Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 639576 KB 
#include"rect.h"
#include<algorithm>
#include<unordered_set>
#include<set>
#include<iostream>
using namespace std;
typedef long long ll;
 
int gap_up[2500][2500];
short gap_up_max[2500][2500][12];
int gap_down[2500][2500];
short gap_down_min[2500][2500][12];
int gap_left[2500][2500];
short gap_left_max[2500][2500][12];
int gap_right[2500][2500];
short gap_right_min[2500][2500][12];
int arr[2500][2500];
int highest_pow2[2501];
int w,h;

void setup(){
    for(int i=1;i<2501;i++){
        int pow2=0;
        while((1<<pow2)<=i)
            pow2++;
        highest_pow2[i]=pow2-1;
    }
    
    for(int y=0;y<h;y++){
        for(int x=0;x<w;x++){
            gap_down_min[x][y][0]=x;
        }
        
        for(int p=1;p<12;p++){
            for(int x=0;x<w-(1<<(p-1));x++){
                int val1=gap_down[gap_down_min[x][y][p-1]][y];
                int val2=gap_down[gap_down_min[x+(1<<(p-1))][y][p-1]][y];
                if(val1<val2){
                    gap_down_min[x][y][p]=gap_down_min[x][y][p-1];
                }else{
                    gap_down_min[x][y][p]=gap_down_min[x+(1<<(p-1))][y][p-1];
                }
            }
        }
    }
    
    for(int y=0;y<h;y++){
        for(int x=0;x<w;x++){
            gap_up_max[x][y][0]=x;
        }
        
        for(int p=1;p<12;p++){
            for(int x=0;x<w-(1<<(p-1));x++){
                int val1=gap_up[gap_up_max[x][y][p-1]][y];
                int val2=gap_up[gap_up_max[x+(1<<(p-1))][y][p-1]][y];
                if(val1>val2){
                    gap_up_max[x][y][p]=gap_up_max[x][y][p-1];
                }else{
                    gap_up_max[x][y][p]=gap_up_max[x+(1<<(p-1))][y][p-1];
                }
            }
        }
    }
    
    for(int x=0;x<w;x++){
        for(int y=0;y<h;y++){
            gap_right_min[x][y][0]=y;
        }
        
        for(int p=1;p<12;p++){
            for(int y=0;y<h-(1<<(p-1));y++){
                int val1=gap_right[x][gap_right_min[x][y][p-1]];
                int val2=gap_right[x][gap_right_min[x][y+(1<<(p-1))][p-1]];
                if(val1<val2){
                    gap_right_min[x][y][p]=gap_right_min[x][y][p-1];
                }else{
                    gap_right_min[x][y][p]=gap_right_min[x][y+(1<<(p-1))][p-1];
                }
            }
        }
    }
}

int get_min_down(int y,int x1,int x2){
    if(x1==x2)
        return 2500;
    int pow2=highest_pow2[x2-x1];
    return min(gap_down[gap_down_min[x1][y][pow2]][y],gap_down[gap_down_min[x2-(1<<pow2)][y][pow2]][y]);
}

int get_max_up(int y,int x1,int x2){
    if(x1==x2)
        return -1;
    int pow2=highest_pow2[x2-x1];
    return max(gap_up[gap_up_max[x1][y][pow2]][y],gap_up[gap_up_max[x2-(1<<pow2)][y][pow2]][y]);
}

int get_min_right(int x,int y1,int y2){
    if(y1==y2)
        return 2500;
    int pow2=highest_pow2[y2-y1];
    return min(gap_right[x][gap_right_min[x][y1][pow2]],gap_right[x][gap_right_min[x][y2-(1<<pow2)][pow2]]);
}

int get_max_left(int x,int y1,int y2){
    int res=-1;
    for(int y=y1;y<y2;y++)
        res=max(res,gap_left[x][y]);
    return res;
}

void process_column(int x){
    vector<pair<int,int>>vals;
    for(int y=0;y<h;y++){
        while(!vals.empty()&&vals.back().first<arr[x][y])
            vals.pop_back();
        gap_up[x][y]=-1;
        if(!vals.empty())
            gap_up[x][y]=vals.back().second;
        vals.emplace_back(arr[x][y],y);
    }
    
    vals.clear();
    for(int y=h-1;y>=0;y--){
        while(!vals.empty()&&vals.back().first<arr[x][y])
            vals.pop_back();
        gap_down[x][y]=2500;
        if(!vals.empty())
            gap_down[x][y]=vals.back().second;
        vals.emplace_back(arr[x][y],y);
    }
}
 
void process_row(int y){
    vector<pair<int,int>>vals;
    for(int x=0;x<w;x++){
        while(!vals.empty()&&vals.back().first<arr[x][y])
            vals.pop_back();
        gap_left[x][y]=-1;
        if(!vals.empty())
            gap_left[x][y]=vals.back().second;
        vals.emplace_back(arr[x][y],x);
    }
    
    vals.clear();
    for(int x=w;x>=0;x--){
        while(!vals.empty()&&vals.back().first<arr[x][y])
            vals.pop_back();
        gap_right[x][y]=2500;
        if(!vals.empty())
            gap_right[x][y]=vals.back().second;
        vals.emplace_back(arr[x][y],x);
    }
}
 
int check1(int x1,int x2,int y){
    if(x1==-1||x2==2500||x1==x2-1)
        return 0;
    
    int y1=y-1;
    
    int y2=get_min_down(y1,x1+1,x2);
    
    if(y2>=h)
        return 0;
    
    if(y1==y2-1)
        return 0;
    
    if(get_max_up(y2,x1+1,x2)>y1)
        return 0;
    
    if(get_min_right(x1,y1+1,y2)<x2)
        return 0;
    
    if(get_max_left(x2,y1+1,y2)>x1)
        return 0;
    
    for(int x=x1+1;x<x2;x++)
        if(gap_down[x][y1]!=y2&&gap_up[x][y2]!=y1)
            return 0;
    
    for(int y=y1+1;y<y2;y++)
        if(gap_right[x1][y]!=x2&&gap_left[x2][y]!=x1)
            return 0;
    
    return 1;
}

int check2(int x1,int x2,int y){
    if(x1==-1||x2==2500||x1==x2-1)
        return 0;
    
    int y2=y+1;
    
    int y1=get_max_up(y2,x1+1,x2);
    
    if(y1==-1)
        return 0;
    
    if(y1==y2-1)
        return 0;
    
    if(get_min_down(y1,x1+1,x2)<y2)
        return 0;
    
    if(get_min_right(x1,y1+1,y2)<x2)
        return 0;
    
    if(get_max_left(x2,y1+1,y2)>x1)
        return 0;
    
    for(int x=x1+1;x<x2;x++)
        if((gap_down[x][y1]!=y2&&gap_up[x][y2]!=y1)||gap_down[x][y1]==y2)
            return 0;
    
    for(int y=y1+1;y<y2;y++)
        if(gap_right[x1][y]!=x2&&gap_left[x2][y]!=x1)
            return 0;
    
    return 1;
}
 
int check(int x1,int x2,int y){
    return check1(x1,x2,y)+check2(x1,x2,y);
}
 
ll count_rectangles(vector<vector<int>>a_){
    h=(int)a_.size();
    w=(int)a_[0].size();
    for(int x=0;x<w;x++){
        for(int y=0;y<h;y++){
            arr[x][y]=a_[y][x];
        }
    }
    
    for(int x=0;x<w;x++)
        process_column(x);
    
    for(int y=0;y<h;y++)
        process_row(y);
    
    setup();
    
    ll res=0;
    for(int x=0;x<w;x++)
        for(int y=1;y<h-1;y++){
            res+=check(x,gap_right[x][y],y);
            if(arr[gap_left[x][y]][y]!=arr[x][y])
                res+=check(gap_left[x][y],x,y);
        }
    
    return res;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 3 ms 22872 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 3 ms 22876 KB Output is correct
5 Correct 3 ms 22876 KB Output is correct
6 Correct 3 ms 22872 KB Output is correct
7 Correct 3 ms 18776 KB Output is correct
8 Correct 3 ms 22876 KB Output is correct
9 Correct 3 ms 23100 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct
11 Correct 3 ms 22876 KB Output is correct
12 Correct 3 ms 22876 KB Output is correct
13 Correct 2 ms 14792 KB Output is correct
14 Correct 2 ms 14684 KB Output is correct
15 Correct 2 ms 16732 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 2 ms 14684 KB Output is correct
18 Correct 2 ms 14828 KB Output is correct
19 Correct 3 ms 22876 KB Output is correct
20 Correct 2 ms 18780 KB Output is correct
21 Correct 2 ms 14680 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 3 ms 22872 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 3 ms 22876 KB Output is correct
5 Correct 3 ms 22876 KB Output is correct
6 Correct 3 ms 22872 KB Output is correct
7 Correct 3 ms 18776 KB Output is correct
8 Correct 3 ms 22876 KB Output is correct
9 Correct 3 ms 23100 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct
11 Correct 3 ms 22876 KB Output is correct
12 Correct 3 ms 22876 KB Output is correct
13 Correct 2 ms 14792 KB Output is correct
14 Correct 2 ms 14684 KB Output is correct
15 Correct 2 ms 16732 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 2 ms 14684 KB Output is correct
18 Correct 2 ms 14828 KB Output is correct
19 Correct 3 ms 22876 KB Output is correct
20 Correct 2 ms 18780 KB Output is correct
21 Correct 2 ms 14680 KB Output is correct
22 Correct 5 ms 35420 KB Output is correct
23 Correct 6 ms 35436 KB Output is correct
24 Correct 5 ms 35420 KB Output is correct
25 Correct 4 ms 35420 KB Output is correct
26 Correct 5 ms 35420 KB Output is correct
27 Correct 5 ms 35420 KB Output is correct
28 Correct 5 ms 35420 KB Output is correct
29 Correct 3 ms 24924 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 3 ms 22872 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 3 ms 22876 KB Output is correct
5 Correct 3 ms 22876 KB Output is correct
6 Correct 3 ms 22872 KB Output is correct
7 Correct 3 ms 18776 KB Output is correct
8 Correct 3 ms 22876 KB Output is correct
9 Correct 3 ms 23100 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct
11 Correct 3 ms 22876 KB Output is correct
12 Correct 3 ms 22876 KB Output is correct
13 Correct 2 ms 14792 KB Output is correct
14 Correct 2 ms 14684 KB Output is correct
15 Correct 2 ms 16732 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 5 ms 35420 KB Output is correct
18 Correct 6 ms 35436 KB Output is correct
19 Correct 5 ms 35420 KB Output is correct
20 Correct 4 ms 35420 KB Output is correct
21 Correct 5 ms 35420 KB Output is correct
22 Correct 5 ms 35420 KB Output is correct
23 Correct 5 ms 35420 KB Output is correct
24 Correct 3 ms 24924 KB Output is correct
25 Correct 2 ms 14684 KB Output is correct
26 Correct 2 ms 14828 KB Output is correct
27 Correct 3 ms 22876 KB Output is correct
28 Correct 2 ms 18780 KB Output is correct
29 Correct 2 ms 14680 KB Output is correct
30 Correct 20 ms 60504 KB Output is correct
31 Correct 20 ms 60368 KB Output is correct
32 Correct 20 ms 60248 KB Output is correct
33 Correct 10 ms 60252 KB Output is correct
34 Correct 14 ms 60360 KB Output is correct
35 Correct 13 ms 60252 KB Output is correct
36 Correct 13 ms 60252 KB Output is correct
37 Correct 13 ms 60360 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 3 ms 22872 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 3 ms 22876 KB Output is correct
5 Correct 3 ms 22876 KB Output is correct
6 Correct 3 ms 22872 KB Output is correct
7 Correct 3 ms 18776 KB Output is correct
8 Correct 3 ms 22876 KB Output is correct
9 Correct 3 ms 23100 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct
11 Correct 3 ms 22876 KB Output is correct
12 Correct 3 ms 22876 KB Output is correct
13 Correct 2 ms 14792 KB Output is correct
14 Correct 2 ms 14684 KB Output is correct
15 Correct 2 ms 16732 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 5 ms 35420 KB Output is correct
18 Correct 6 ms 35436 KB Output is correct
19 Correct 5 ms 35420 KB Output is correct
20 Correct 4 ms 35420 KB Output is correct
21 Correct 5 ms 35420 KB Output is correct
22 Correct 5 ms 35420 KB Output is correct
23 Correct 5 ms 35420 KB Output is correct
24 Correct 3 ms 24924 KB Output is correct
25 Correct 20 ms 60504 KB Output is correct
26 Correct 20 ms 60368 KB Output is correct
27 Correct 20 ms 60248 KB Output is correct
28 Correct 10 ms 60252 KB Output is correct
29 Correct 14 ms 60360 KB Output is correct
30 Correct 13 ms 60252 KB Output is correct
31 Correct 13 ms 60252 KB Output is correct
32 Correct 13 ms 60360 KB Output is correct
33 Correct 2 ms 14684 KB Output is correct
34 Correct 2 ms 14828 KB Output is correct
35 Correct 3 ms 22876 KB Output is correct
36 Correct 2 ms 18780 KB Output is correct
37 Correct 2 ms 14680 KB Output is correct
38 Correct 69 ms 178768 KB Output is correct
39 Correct 67 ms 178768 KB Output is correct
40 Correct 70 ms 178768 KB Output is correct
41 Correct 67 ms 178616 KB Output is correct
42 Correct 513 ms 178860 KB Output is correct
43 Correct 555 ms 178864 KB Output is correct
44 Correct 505 ms 178768 KB Output is correct
45 Correct 469 ms 178608 KB Output is correct
46 Correct 75 ms 178772 KB Output is correct
47 Correct 82 ms 178860 KB Output is correct
48 Correct 109 ms 178860 KB Output is correct
49 Correct 116 ms 178604 KB Output is correct
50 Correct 55 ms 96852 KB Output is correct
51 Correct 64 ms 176884 KB Output is correct
52 Correct 106 ms 178768 KB Output is correct
53 Correct 107 ms 178768 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 311632 KB Output is correct
2 Correct 37 ms 306008 KB Output is correct
3 Correct 36 ms 311640 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 40 ms 311628 KB Output is correct
6 Correct 38 ms 311636 KB Output is correct
7 Correct 36 ms 311632 KB Output is correct
8 Correct 37 ms 311900 KB Output is correct
9 Correct 37 ms 311636 KB Output is correct
10 Correct 36 ms 313432 KB Output is correct
11 Correct 36 ms 311548 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14828 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 2 ms 18780 KB Output is correct
5 Correct 2 ms 14680 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 501 ms 450388 KB Output is correct
8 Correct 1123 ms 615108 KB Output is correct
9 Correct 1295 ms 622152 KB Output is correct
10 Correct 904 ms 622088 KB Output is correct
11 Correct 328 ms 593704 KB Output is correct
12 Correct 615 ms 592468 KB Output is correct
13 Correct 665 ms 621680 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14680 KB Output is correct
2 Correct 3 ms 22872 KB Output is correct
3 Correct 3 ms 22876 KB Output is correct
4 Correct 3 ms 22876 KB Output is correct
5 Correct 3 ms 22876 KB Output is correct
6 Correct 3 ms 22872 KB Output is correct
7 Correct 3 ms 18776 KB Output is correct
8 Correct 3 ms 22876 KB Output is correct
9 Correct 3 ms 23100 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct
11 Correct 3 ms 22876 KB Output is correct
12 Correct 3 ms 22876 KB Output is correct
13 Correct 2 ms 14792 KB Output is correct
14 Correct 2 ms 14684 KB Output is correct
15 Correct 2 ms 16732 KB Output is correct
16 Correct 2 ms 14684 KB Output is correct
17 Correct 5 ms 35420 KB Output is correct
18 Correct 6 ms 35436 KB Output is correct
19 Correct 5 ms 35420 KB Output is correct
20 Correct 4 ms 35420 KB Output is correct
21 Correct 5 ms 35420 KB Output is correct
22 Correct 5 ms 35420 KB Output is correct
23 Correct 5 ms 35420 KB Output is correct
24 Correct 3 ms 24924 KB Output is correct
25 Correct 20 ms 60504 KB Output is correct
26 Correct 20 ms 60368 KB Output is correct
27 Correct 20 ms 60248 KB Output is correct
28 Correct 10 ms 60252 KB Output is correct
29 Correct 14 ms 60360 KB Output is correct
30 Correct 13 ms 60252 KB Output is correct
31 Correct 13 ms 60252 KB Output is correct
32 Correct 13 ms 60360 KB Output is correct
33 Correct 69 ms 178768 KB Output is correct
34 Correct 67 ms 178768 KB Output is correct
35 Correct 70 ms 178768 KB Output is correct
36 Correct 67 ms 178616 KB Output is correct
37 Correct 513 ms 178860 KB Output is correct
38 Correct 555 ms 178864 KB Output is correct
39 Correct 505 ms 178768 KB Output is correct
40 Correct 469 ms 178608 KB Output is correct
41 Correct 75 ms 178772 KB Output is correct
42 Correct 82 ms 178860 KB Output is correct
43 Correct 109 ms 178860 KB Output is correct
44 Correct 116 ms 178604 KB Output is correct
45 Correct 55 ms 96852 KB Output is correct
46 Correct 64 ms 176884 KB Output is correct
47 Correct 106 ms 178768 KB Output is correct
48 Correct 107 ms 178768 KB Output is correct
49 Correct 43 ms 311632 KB Output is correct
50 Correct 37 ms 306008 KB Output is correct
51 Correct 36 ms 311640 KB Output is correct
52 Correct 2 ms 14680 KB Output is correct
53 Correct 40 ms 311628 KB Output is correct
54 Correct 38 ms 311636 KB Output is correct
55 Correct 36 ms 311632 KB Output is correct
56 Correct 37 ms 311900 KB Output is correct
57 Correct 37 ms 311636 KB Output is correct
58 Correct 36 ms 313432 KB Output is correct
59 Correct 36 ms 311548 KB Output is correct
60 Correct 2 ms 16732 KB Output is correct
61 Correct 501 ms 450388 KB Output is correct
62 Correct 1123 ms 615108 KB Output is correct
63 Correct 1295 ms 622152 KB Output is correct
64 Correct 904 ms 622088 KB Output is correct
65 Correct 328 ms 593704 KB Output is correct
66 Correct 615 ms 592468 KB Output is correct
67 Correct 665 ms 621680 KB Output is correct
68 Correct 2 ms 14684 KB Output is correct
69 Correct 2 ms 14828 KB Output is correct
70 Correct 3 ms 22876 KB Output is correct
71 Correct 2 ms 18780 KB Output is correct
72 Correct 2 ms 14680 KB Output is correct
73 Correct 845 ms 639292 KB Output is correct
74 Correct 837 ms 639024 KB Output is correct
75 Correct 854 ms 638688 KB Output is correct
76 Correct 931 ms 639000 KB Output is correct
77 Execution timed out 5071 ms 639576 KB Time limit exceeded
78 Halted 0 ms 0 KB -