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Submission #597144

# Submission time Handle Problem Language Result Execution time Memory
597144 2022-07-15T14:55:12 Z alirezasamimi100 Rectangles (IOI19_rect) C++17
100 / 100
 2360 ms 738928 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define F first
#define S second
#define mp make_pair
using pii = pair<int,int>;
using ll = long long int;

const int N = 2.5e3 + 10;

int ans,n,m,f[N];
vector<pii> R[N][N],C[N][N];
void upd(int t, int x){
    for(t+=5; t<N; t+=t&-t) f[t]+=x;
}
int get(int t, int x=0){
    for(t+=5; t; t-=t&-t) x+=f[t];
    return x;
}

ll count_rectangles(vector<vector<int> > A) {
    n=A.size();
    m=A[0].size();
    for(int i=0; i<n; i++){
        vector<int> st;
        for(int j=0; j<m; j++){
            int f=0;
            while(!st.empty() && A[i][st.back()]<=A[i][j]){
                if(A[i][st.back()]==A[i][j]) f=1;
                if(j-st.back()>1){
                    R[i][st.back()+1].pb({j-1,i});
                }
                st.pop_back();
            }
            if(!f && !st.empty() && j-st.back()>1) R[i][st.back()+1].pb({j-1,i});
            st.pb(j);
        }
    }
    for(int j=0; j<m; j++){
        vector<int> st;
        for(int i=0; i<n; i++){
            int f=0;
            while(!st.empty() && A[st.back()][j]<=A[i][j]){
                if(A[st.back()][j]==A[i][j]) f=1;
                if(i-st.back()>1){
                    C[st.back()+1][j].pb({i-1,j});
                }
                st.pop_back();
            }
            if(!f && !st.empty() && i-st.back()>1) C[st.back()+1][j].pb({i-1,j});
            st.pb(i);
        }
    }
    for(int i=n-1; i--; ){
        for(int j=m-1; j--; ){
            for(int k=0; k<(int)R[i][j].size(); k++){
                auto it=lower_bound(R[i+1][j].begin(),R[i+1][j].end(),mp(R[i][j][k].F,-1));
                if(it!=R[i+1][j].end() && it->F==R[i][j][k].F) R[i][j][k].S=it->S;
            }
            for(int k=0; k<(int)C[i][j].size(); k++){
                auto it=lower_bound(C[i][j+1].begin(),C[i][j+1].end(),mp(C[i][j][k].F,-1));
                if(it!=C[i][j+1].end() && it->F==C[i][j][k].F) C[i][j][k].S=it->S;
            }
        }
    }
    for(int i=0; i<n; i++){
        for(int j=0; j<m; j++){
            for(int k=0; k<(int)C[i][j].size(); k++){
                upd(C[i][j][k].F,1);
            }
            sort(C[i][j].begin(),C[i][j].end(),[&](const pii &a, const pii &b){return a.S<b.S;});
            int p=0;
            for(int k=0; k<(int)R[i][j].size(); k++){
                while(p<(int)C[i][j].size() && C[i][j][p].S<R[i][j][k].F){
                    upd(C[i][j][p].F,-1);
                    p++;
                }
                ans+=get(R[i][j][k].S);
            }
            while(p<(int)C[i][j].size()){
                upd(C[i][j][p].F,-1);
                p++;
            }
        }
    }
    return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 296140 KB Output is correct
2 Correct 137 ms 296136 KB Output is correct
3 Correct 157 ms 296240 KB Output is correct
4 Correct 143 ms 296176 KB Output is correct
5 Correct 144 ms 296132 KB Output is correct
6 Correct 174 ms 296140 KB Output is correct
7 Correct 138 ms 296108 KB Output is correct
8 Correct 157 ms 296292 KB Output is correct
9 Correct 138 ms 296200 KB Output is correct
10 Correct 151 ms 296172 KB Output is correct
11 Correct 144 ms 296136 KB Output is correct
12 Correct 142 ms 296140 KB Output is correct
13 Correct 142 ms 296072 KB Output is correct
14 Correct 167 ms 296188 KB Output is correct
15 Correct 142 ms 296268 KB Output is correct
16 Correct 143 ms 296168 KB Output is correct
17 Correct 136 ms 296080 KB Output is correct
18 Correct 149 ms 296140 KB Output is correct
19 Correct 140 ms 296140 KB Output is correct
20 Correct 149 ms 296276 KB Output is correct
21 Correct 148 ms 296140 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 296140 KB Output is correct
2 Correct 137 ms 296136 KB Output is correct
3 Correct 157 ms 296240 KB Output is correct
4 Correct 143 ms 296176 KB Output is correct
5 Correct 144 ms 296132 KB Output is correct
6 Correct 174 ms 296140 KB Output is correct
7 Correct 138 ms 296108 KB Output is correct
8 Correct 157 ms 296292 KB Output is correct
9 Correct 138 ms 296200 KB Output is correct
10 Correct 151 ms 296172 KB Output is correct
11 Correct 144 ms 296136 KB Output is correct
12 Correct 142 ms 296140 KB Output is correct
13 Correct 142 ms 296072 KB Output is correct
14 Correct 167 ms 296188 KB Output is correct
15 Correct 142 ms 296268 KB Output is correct
16 Correct 143 ms 296168 KB Output is correct
17 Correct 136 ms 296080 KB Output is correct
18 Correct 149 ms 296140 KB Output is correct
19 Correct 140 ms 296140 KB Output is correct
20 Correct 149 ms 296276 KB Output is correct
21 Correct 148 ms 296140 KB Output is correct
22 Correct 164 ms 296608 KB Output is correct
23 Correct 142 ms 296652 KB Output is correct
24 Correct 141 ms 296612 KB Output is correct
25 Correct 152 ms 296360 KB Output is correct
26 Correct 149 ms 296400 KB Output is correct
27 Correct 144 ms 296424 KB Output is correct
28 Correct 155 ms 296488 KB Output is correct
29 Correct 155 ms 296296 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 296140 KB Output is correct
2 Correct 137 ms 296136 KB Output is correct
3 Correct 157 ms 296240 KB Output is correct
4 Correct 143 ms 296176 KB Output is correct
5 Correct 144 ms 296132 KB Output is correct
6 Correct 174 ms 296140 KB Output is correct
7 Correct 138 ms 296108 KB Output is correct
8 Correct 157 ms 296292 KB Output is correct
9 Correct 138 ms 296200 KB Output is correct
10 Correct 151 ms 296172 KB Output is correct
11 Correct 144 ms 296136 KB Output is correct
12 Correct 142 ms 296140 KB Output is correct
13 Correct 142 ms 296072 KB Output is correct
14 Correct 167 ms 296188 KB Output is correct
15 Correct 142 ms 296268 KB Output is correct
16 Correct 143 ms 296168 KB Output is correct
17 Correct 164 ms 296608 KB Output is correct
18 Correct 142 ms 296652 KB Output is correct
19 Correct 141 ms 296612 KB Output is correct
20 Correct 152 ms 296360 KB Output is correct
21 Correct 149 ms 296400 KB Output is correct
22 Correct 144 ms 296424 KB Output is correct
23 Correct 155 ms 296488 KB Output is correct
24 Correct 155 ms 296296 KB Output is correct
25 Correct 136 ms 296080 KB Output is correct
26 Correct 149 ms 296140 KB Output is correct
27 Correct 140 ms 296140 KB Output is correct
28 Correct 149 ms 296276 KB Output is correct
29 Correct 148 ms 296140 KB Output is correct
30 Correct 145 ms 299128 KB Output is correct
31 Correct 152 ms 299168 KB Output is correct
32 Correct 157 ms 299288 KB Output is correct
33 Correct 145 ms 297408 KB Output is correct
34 Correct 160 ms 297980 KB Output is correct
35 Correct 158 ms 298248 KB Output is correct
36 Correct 150 ms 298132 KB Output is correct
37 Correct 155 ms 298124 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 296140 KB Output is correct
2 Correct 137 ms 296136 KB Output is correct
3 Correct 157 ms 296240 KB Output is correct
4 Correct 143 ms 296176 KB Output is correct
5 Correct 144 ms 296132 KB Output is correct
6 Correct 174 ms 296140 KB Output is correct
7 Correct 138 ms 296108 KB Output is correct
8 Correct 157 ms 296292 KB Output is correct
9 Correct 138 ms 296200 KB Output is correct
10 Correct 151 ms 296172 KB Output is correct
11 Correct 144 ms 296136 KB Output is correct
12 Correct 142 ms 296140 KB Output is correct
13 Correct 142 ms 296072 KB Output is correct
14 Correct 167 ms 296188 KB Output is correct
15 Correct 142 ms 296268 KB Output is correct
16 Correct 143 ms 296168 KB Output is correct
17 Correct 164 ms 296608 KB Output is correct
18 Correct 142 ms 296652 KB Output is correct
19 Correct 141 ms 296612 KB Output is correct
20 Correct 152 ms 296360 KB Output is correct
21 Correct 149 ms 296400 KB Output is correct
22 Correct 144 ms 296424 KB Output is correct
23 Correct 155 ms 296488 KB Output is correct
24 Correct 155 ms 296296 KB Output is correct
25 Correct 145 ms 299128 KB Output is correct
26 Correct 152 ms 299168 KB Output is correct
27 Correct 157 ms 299288 KB Output is correct
28 Correct 145 ms 297408 KB Output is correct
29 Correct 160 ms 297980 KB Output is correct
30 Correct 158 ms 298248 KB Output is correct
31 Correct 150 ms 298132 KB Output is correct
32 Correct 155 ms 298124 KB Output is correct
33 Correct 136 ms 296080 KB Output is correct
34 Correct 149 ms 296140 KB Output is correct
35 Correct 140 ms 296140 KB Output is correct
36 Correct 149 ms 296276 KB Output is correct
37 Correct 148 ms 296140 KB Output is correct
38 Correct 225 ms 318420 KB Output is correct
39 Correct 201 ms 313640 KB Output is correct
40 Correct 192 ms 313696 KB Output is correct
41 Correct 182 ms 308924 KB Output is correct
42 Correct 234 ms 333832 KB Output is correct
43 Correct 265 ms 333776 KB Output is correct
44 Correct 233 ms 334160 KB Output is correct
45 Correct 243 ms 331844 KB Output is correct
46 Correct 208 ms 308564 KB Output is correct
47 Correct 206 ms 311204 KB Output is correct
48 Correct 280 ms 319932 KB Output is correct
49 Correct 285 ms 321816 KB Output is correct
50 Correct 217 ms 309108 KB Output is correct
51 Correct 210 ms 308976 KB Output is correct
52 Correct 270 ms 319476 KB Output is correct
53 Correct 278 ms 320460 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 296492 KB Output is correct
2 Correct 158 ms 296540 KB Output is correct
3 Correct 145 ms 296184 KB Output is correct
4 Correct 146 ms 296232 KB Output is correct
5 Correct 141 ms 296380 KB Output is correct
6 Correct 143 ms 296460 KB Output is correct
7 Correct 155 ms 296460 KB Output is correct
8 Correct 145 ms 296380 KB Output is correct
9 Correct 143 ms 296400 KB Output is correct
10 Correct 145 ms 296260 KB Output is correct
11 Correct 151 ms 296388 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 136 ms 296080 KB Output is correct
2 Correct 149 ms 296140 KB Output is correct
3 Correct 140 ms 296140 KB Output is correct
4 Correct 149 ms 296276 KB Output is correct
5 Correct 148 ms 296140 KB Output is correct
6 Correct 139 ms 296108 KB Output is correct
7 Correct 539 ms 368992 KB Output is correct
8 Correct 990 ms 450696 KB Output is correct
9 Correct 1028 ms 451656 KB Output is correct
10 Correct 988 ms 451616 KB Output is correct
11 Correct 250 ms 326572 KB Output is correct
12 Correct 326 ms 350156 KB Output is correct
13 Correct 357 ms 353924 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 296140 KB Output is correct
2 Correct 137 ms 296136 KB Output is correct
3 Correct 157 ms 296240 KB Output is correct
4 Correct 143 ms 296176 KB Output is correct
5 Correct 144 ms 296132 KB Output is correct
6 Correct 174 ms 296140 KB Output is correct
7 Correct 138 ms 296108 KB Output is correct
8 Correct 157 ms 296292 KB Output is correct
9 Correct 138 ms 296200 KB Output is correct
10 Correct 151 ms 296172 KB Output is correct
11 Correct 144 ms 296136 KB Output is correct
12 Correct 142 ms 296140 KB Output is correct
13 Correct 142 ms 296072 KB Output is correct
14 Correct 167 ms 296188 KB Output is correct
15 Correct 142 ms 296268 KB Output is correct
16 Correct 143 ms 296168 KB Output is correct
17 Correct 164 ms 296608 KB Output is correct
18 Correct 142 ms 296652 KB Output is correct
19 Correct 141 ms 296612 KB Output is correct
20 Correct 152 ms 296360 KB Output is correct
21 Correct 149 ms 296400 KB Output is correct
22 Correct 144 ms 296424 KB Output is correct
23 Correct 155 ms 296488 KB Output is correct
24 Correct 155 ms 296296 KB Output is correct
25 Correct 145 ms 299128 KB Output is correct
26 Correct 152 ms 299168 KB Output is correct
27 Correct 157 ms 299288 KB Output is correct
28 Correct 145 ms 297408 KB Output is correct
29 Correct 160 ms 297980 KB Output is correct
30 Correct 158 ms 298248 KB Output is correct
31 Correct 150 ms 298132 KB Output is correct
32 Correct 155 ms 298124 KB Output is correct
33 Correct 225 ms 318420 KB Output is correct
34 Correct 201 ms 313640 KB Output is correct
35 Correct 192 ms 313696 KB Output is correct
36 Correct 182 ms 308924 KB Output is correct
37 Correct 234 ms 333832 KB Output is correct
38 Correct 265 ms 333776 KB Output is correct
39 Correct 233 ms 334160 KB Output is correct
40 Correct 243 ms 331844 KB Output is correct
41 Correct 208 ms 308564 KB Output is correct
42 Correct 206 ms 311204 KB Output is correct
43 Correct 280 ms 319932 KB Output is correct
44 Correct 285 ms 321816 KB Output is correct
45 Correct 217 ms 309108 KB Output is correct
46 Correct 210 ms 308976 KB Output is correct
47 Correct 270 ms 319476 KB Output is correct
48 Correct 278 ms 320460 KB Output is correct
49 Correct 139 ms 296492 KB Output is correct
50 Correct 158 ms 296540 KB Output is correct
51 Correct 145 ms 296184 KB Output is correct
52 Correct 146 ms 296232 KB Output is correct
53 Correct 141 ms 296380 KB Output is correct
54 Correct 143 ms 296460 KB Output is correct
55 Correct 155 ms 296460 KB Output is correct
56 Correct 145 ms 296380 KB Output is correct
57 Correct 143 ms 296400 KB Output is correct
58 Correct 145 ms 296260 KB Output is correct
59 Correct 151 ms 296388 KB Output is correct
60 Correct 139 ms 296108 KB Output is correct
61 Correct 539 ms 368992 KB Output is correct
62 Correct 990 ms 450696 KB Output is correct
63 Correct 1028 ms 451656 KB Output is correct
64 Correct 988 ms 451616 KB Output is correct
65 Correct 250 ms 326572 KB Output is correct
66 Correct 326 ms 350156 KB Output is correct
67 Correct 357 ms 353924 KB Output is correct
68 Correct 136 ms 296080 KB Output is correct
69 Correct 149 ms 296140 KB Output is correct
70 Correct 140 ms 296140 KB Output is correct
71 Correct 149 ms 296276 KB Output is correct
72 Correct 148 ms 296140 KB Output is correct
73 Correct 1303 ms 543388 KB Output is correct
74 Correct 1287 ms 476468 KB Output is correct
75 Correct 789 ms 476404 KB Output is correct
76 Correct 680 ms 409288 KB Output is correct
77 Correct 2271 ms 738928 KB Output is correct
78 Correct 1378 ms 477792 KB Output is correct
79 Correct 1408 ms 475324 KB Output is correct
80 Correct 2185 ms 577528 KB Output is correct
81 Correct 1434 ms 466580 KB Output is correct
82 Correct 1786 ms 524348 KB Output is correct
83 Correct 2274 ms 580840 KB Output is correct
84 Correct 1292 ms 455816 KB Output is correct
85 Correct 2188 ms 564504 KB Output is correct
86 Correct 2162 ms 556332 KB Output is correct
87 Correct 1291 ms 561540 KB Output is correct
88 Correct 2240 ms 738628 KB Output is correct
89 Correct 2246 ms 738832 KB Output is correct
90 Correct 2360 ms 738924 KB Output is correct