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Submission #616026

# Submission time Handle Problem Language Result Execution time Memory
616026 2022-07-31T18:19:08 Z Bench0310 Rectangles (IOI19_rect) C++17
100 / 100
 3071 ms 587840 KB 
#include <bits/stdc++.h>
#include "rect.h"

using namespace std;
typedef long long ll;

vector<array<int,2>> get_opt(vector<int> a)
{
    int n=a.size();
    vector<array<int,2>> v;
    stack<int> s;
    for(int i=0;i<n;i++)
    {
        while(!s.empty()&&a[s.top()]<a[i]) s.pop();
        if(!s.empty()&&s.top()+2<=i) v.push_back({s.top(),i});
        s.push(i);
    }
    while(!s.empty()) s.pop();
    for(int i=n-1;i>=0;i--)
    {
        while(!s.empty()&&a[s.top()]<a[i]) s.pop();
        if(!s.empty()&&i+2<=s.top()&&a[s.top()]!=a[i]) v.push_back({i,s.top()});
        s.push(i);
    }
    return v;
}

const int N=2500;
int tree[N];

void upd(int p,int d)
{
    for(;p<N;p=(p|(p+1))) tree[p]+=d;
}

int sum(int p)
{
    int s=0;
    for(;p>=0;p=(p&(p+1))-1) s+=tree[p];
    return s;
}

int sum(int l,int r)
{
    return (sum(r)-sum(l-1));
}

ll count_rectangles(vector<vector<int>> a)
{
    int n=a.size();
    int m=a[0].size();
    vector<array<int,3>> events[n][m]; //c,t,r
    vector one(n,vector(n,array<int,2>{-1,0}));
    for(int j=m-1;j>=0;j--)
    {
        vector<int> tmp(n);
        for(int i=0;i<n;i++) tmp[i]=a[i][j];
        auto opt=get_opt(tmp);
        for(auto [l,r]:opt)
        {
            if(one[l][r][0]==j+1) one[l][r][0]=j;
            else one[l][r]={j,j};
            events[l+1][j].push_back({one[l][r][1]+1,1,r-1});
        }
    }
    vector two(m,vector(m,array<int,2>{-1,0}));
    for(int i=n-1;i>=0;i--)
    {
        vector<int> tmp(m);
        for(int j=0;j<m;j++) tmp[j]=a[i][j];
        auto opt=get_opt(tmp);
        for(auto [l,r]:opt)
        {
            if(two[l][r][0]==i+1) two[l][r][0]=i;
            else two[l][r]={i,i};
            events[i][l+1].push_back({r,0,two[l][r][1]});
        }
    }
    ll res=0;
    for(int i=0;i<n;i++)
    {
        for(int j=0;j<m;j++)
        {
            auto &e=events[i][j];
            sort(e.begin(),e.end());
            for(auto [c,t,r]:e)
            {
                if(t==0) upd(r,1);
                else res+=sum(r,n-1);
            }
            for(auto [c,t,r]:e) if(t==0) upd(r,-1);
        }
    }
    return res;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 4 ms 724 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 724 KB Output is correct
29 Correct 1 ms 468 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 4 ms 724 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 9 ms 3460 KB Output is correct
31 Correct 9 ms 3412 KB Output is correct
32 Correct 10 ms 3412 KB Output is correct
33 Correct 7 ms 2772 KB Output is correct
34 Correct 13 ms 3668 KB Output is correct
35 Correct 14 ms 3668 KB Output is correct
36 Correct 12 ms 3540 KB Output is correct
37 Correct 14 ms 3540 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 4 ms 724 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 9 ms 3460 KB Output is correct
26 Correct 9 ms 3412 KB Output is correct
27 Correct 10 ms 3412 KB Output is correct
28 Correct 7 ms 2772 KB Output is correct
29 Correct 13 ms 3668 KB Output is correct
30 Correct 14 ms 3668 KB Output is correct
31 Correct 12 ms 3540 KB Output is correct
32 Correct 14 ms 3540 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 93 ms 38716 KB Output is correct
39 Correct 84 ms 35328 KB Output is correct
40 Correct 96 ms 35396 KB Output is correct
41 Correct 71 ms 31436 KB Output is correct
42 Correct 139 ms 38752 KB Output is correct
43 Correct 147 ms 42000 KB Output is correct
44 Correct 151 ms 42448 KB Output is correct
45 Correct 133 ms 39720 KB Output is correct
46 Correct 76 ms 30220 KB Output is correct
47 Correct 114 ms 32748 KB Output is correct
48 Correct 200 ms 44024 KB Output is correct
49 Correct 202 ms 46172 KB Output is correct
50 Correct 102 ms 24236 KB Output is correct
51 Correct 99 ms 24152 KB Output is correct
52 Correct 186 ms 43596 KB Output is correct
53 Correct 189 ms 44708 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 49748 KB Output is correct
2 Correct 16 ms 36004 KB Output is correct
3 Correct 21 ms 49484 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 21 ms 49648 KB Output is correct
6 Correct 23 ms 49720 KB Output is correct
7 Correct 22 ms 49644 KB Output is correct
8 Correct 22 ms 49748 KB Output is correct
9 Correct 28 ms 49696 KB Output is correct
10 Correct 22 ms 49364 KB Output is correct
11 Correct 22 ms 49512 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 540 ms 177868 KB Output is correct
8 Correct 1206 ms 365852 KB Output is correct
9 Correct 1222 ms 367740 KB Output is correct
10 Correct 1207 ms 367756 KB Output is correct
11 Correct 183 ms 157972 KB Output is correct
12 Correct 333 ms 276076 KB Output is correct
13 Correct 379 ms 294220 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 4 ms 724 KB Output is correct
22 Correct 2 ms 724 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 9 ms 3460 KB Output is correct
26 Correct 9 ms 3412 KB Output is correct
27 Correct 10 ms 3412 KB Output is correct
28 Correct 7 ms 2772 KB Output is correct
29 Correct 13 ms 3668 KB Output is correct
30 Correct 14 ms 3668 KB Output is correct
31 Correct 12 ms 3540 KB Output is correct
32 Correct 14 ms 3540 KB Output is correct
33 Correct 93 ms 38716 KB Output is correct
34 Correct 84 ms 35328 KB Output is correct
35 Correct 96 ms 35396 KB Output is correct
36 Correct 71 ms 31436 KB Output is correct
37 Correct 139 ms 38752 KB Output is correct
38 Correct 147 ms 42000 KB Output is correct
39 Correct 151 ms 42448 KB Output is correct
40 Correct 133 ms 39720 KB Output is correct
41 Correct 76 ms 30220 KB Output is correct
42 Correct 114 ms 32748 KB Output is correct
43 Correct 200 ms 44024 KB Output is correct
44 Correct 202 ms 46172 KB Output is correct
45 Correct 102 ms 24236 KB Output is correct
46 Correct 99 ms 24152 KB Output is correct
47 Correct 186 ms 43596 KB Output is correct
48 Correct 189 ms 44708 KB Output is correct
49 Correct 25 ms 49748 KB Output is correct
50 Correct 16 ms 36004 KB Output is correct
51 Correct 21 ms 49484 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 21 ms 49648 KB Output is correct
54 Correct 23 ms 49720 KB Output is correct
55 Correct 22 ms 49644 KB Output is correct
56 Correct 22 ms 49748 KB Output is correct
57 Correct 28 ms 49696 KB Output is correct
58 Correct 22 ms 49364 KB Output is correct
59 Correct 22 ms 49512 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 540 ms 177868 KB Output is correct
62 Correct 1206 ms 365852 KB Output is correct
63 Correct 1222 ms 367740 KB Output is correct
64 Correct 1207 ms 367756 KB Output is correct
65 Correct 183 ms 157972 KB Output is correct
66 Correct 333 ms 276076 KB Output is correct
67 Correct 379 ms 294220 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 0 ms 212 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 1643 ms 536416 KB Output is correct
74 Correct 1372 ms 482044 KB Output is correct
75 Correct 1411 ms 482056 KB Output is correct
76 Correct 983 ms 436716 KB Output is correct
77 Correct 2593 ms 537876 KB Output is correct
78 Correct 1712 ms 343532 KB Output is correct
79 Correct 1804 ms 369496 KB Output is correct
80 Correct 2909 ms 559400 KB Output is correct
81 Correct 1810 ms 360460 KB Output is correct
82 Correct 2350 ms 472208 KB Output is correct
83 Correct 3071 ms 587840 KB Output is correct
84 Correct 1625 ms 341748 KB Output is correct
85 Correct 2907 ms 570304 KB Output is correct
86 Correct 2729 ms 553760 KB Output is correct
87 Correct 1596 ms 330736 KB Output is correct
88 Correct 2765 ms 537344 KB Output is correct
89 Correct 2697 ms 537752 KB Output is correct
90 Correct 2645 ms 537952 KB Output is correct