Submission #212036

# Submission time Handle Problem Language Result Execution time Memory
212036 2020-03-22T06:13:39 Z anonymous Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 1003016 KB
#include "rect.h"
#include<set>
#include<vector>
#include<algorithm>
#include<utility>
#define MAXN 2505
using namespace std;
int N,M,A[MAXN][MAXN];
vector<pair<int,int> > Hor[MAXN][MAXN], Vert[MAXN][MAXN];
set<pair<int,int> > HorM[MAXN], VertM[MAXN]; //unordered?
vector<pair<int,int> > S;

class fenwick {
    int ft[MAXN + 5];
public:
    void add(int v, int p) {
        for (int i=p; i<=MAXN; i+=i&(-i)) {ft[i]+=v;}
    }
    int ask(int p) {
        int res = 0;
        for (int i=p; i>0; i-=i&(-i)) {res+=ft[i];}
        return(res);
    }
} BIT;

void pairs() {
    for (int i=1; i<=N; i++) { //init horizontal
        while (S.size()) {S.pop_back();}
        for (int j=1; j<=M; j++) {
            bool same = false;
            while(S.size() && S.back().first <= A[i][j]) {
                if (A[i][j] == S.back().first) {same=true;}
                if (j - S.back().second > 1) {HorM[i].insert({S.back().second, j});}
                S.pop_back();
            }
            if (!same && S.size() && j - S.back().second > 1) {HorM[i].insert({S.back().second, j});}
            S.push_back({A[i][j], j});
        }
    }
    for (int j=1; j<=M; j++) {
        while (S.size()) {S.pop_back();}
        for (int i=1; i<=N; i++) {
            bool same = false;
            while (S.size() && S.back().first <= A[i][j]) {
                if (A[i][j] == S.back().first) {same=true;}
                if (i - S.back().second > 1) {VertM[j].insert({S.back().second,i});}
                S.pop_back();
            }
            if (!same && S.size() && i - S.back().second > 1) {VertM[j].insert({S.back().second,i});}
            S.push_back({A[i][j], i});
        }
    }
    for (int i=N; i>=1; i--) {
        while (HorM[i].size()) {
            int pt = i;
            pair <int,int> p = *HorM[i].begin();
            while (HorM[pt].find(p) != HorM[pt].end()) {
                Hor[pt][p.first].push_back({p.second, i}); //i is goes up to
                HorM[pt].erase(p), pt--;
            }
        }
    }
    for (int j=M; j>=1; j--) {
        while (VertM[j].size()) {
            int pt = j;
            pair <int,int> p = *VertM[j].begin();
            while (VertM[pt].find(p) != VertM[pt].end()) {
                Vert[p.first][pt].push_back({j, p.second});
                VertM[pt].erase(p), pt--;
            }
        }
    }
    for (int i=1; i<=N; i++) {
        for (int j=1; j<=M; j++) {
            sort(Hor[i][j].begin(), Hor[i][j].end());
            sort(Vert[i][j].begin(), Vert[i][j].end());
        }
    }
}

long long count_rectangles(vector<vector<int> > a) {
    long long ans = 0;
    N = a.size(), M = a[0].size();
    for (int i=0; i<N; i++) {
        for (int j=0; j<M; j++) {
            A[i+1][j+1]=a[i][j]; //zero index
        }
    }
    pairs();
    for (int i=1; i<=N; i++) {
        for (int j=1; j<=M; j++) {
            //(i,j) top left
            int pt1 = Hor[i+1][j].size()-1, pt2 = Vert[i][j+1].size()-1; //go (i,j+1) for vert and (i+1,j) for hor
            while (pt1 >= 0 || pt2 >= 0) {
                if (pt1 == -1 || (pt2 >= 0 && Hor[i+1][j][pt1].first <= Vert[i][j+1][pt2].first+1)) {
                    BIT.add(1, Vert[i][j+1][pt2].second);
                    pt2--;
                } else {
                    ans += (long long) BIT.ask(Hor[i+1][j][pt1].second+1) - BIT.ask(i+1);
                    pt1--;
                }
            }
            for (auto v: Vert[i][j+1]) {
                BIT.add(-1, v.second);
            }
        }
    }
    return(ans);
}
# Verdict Execution time Memory Grader output
1 Correct 158 ms 295288 KB Output is correct
2 Correct 157 ms 295544 KB Output is correct
3 Correct 167 ms 295544 KB Output is correct
4 Correct 160 ms 295548 KB Output is correct
5 Correct 166 ms 295416 KB Output is correct
6 Correct 157 ms 295452 KB Output is correct
7 Correct 158 ms 295416 KB Output is correct
8 Correct 159 ms 295288 KB Output is correct
9 Correct 167 ms 295672 KB Output is correct
10 Correct 162 ms 295416 KB Output is correct
11 Correct 160 ms 295416 KB Output is correct
12 Correct 167 ms 295544 KB Output is correct
13 Correct 160 ms 295288 KB Output is correct
14 Correct 161 ms 295288 KB Output is correct
15 Correct 158 ms 295288 KB Output is correct
16 Correct 174 ms 295236 KB Output is correct
17 Correct 160 ms 295164 KB Output is correct
18 Correct 158 ms 295288 KB Output is correct
19 Correct 159 ms 295416 KB Output is correct
20 Correct 164 ms 295416 KB Output is correct
21 Correct 159 ms 295288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 295288 KB Output is correct
2 Correct 157 ms 295544 KB Output is correct
3 Correct 167 ms 295544 KB Output is correct
4 Correct 160 ms 295548 KB Output is correct
5 Correct 166 ms 295416 KB Output is correct
6 Correct 157 ms 295452 KB Output is correct
7 Correct 158 ms 295416 KB Output is correct
8 Correct 159 ms 295288 KB Output is correct
9 Correct 167 ms 295672 KB Output is correct
10 Correct 162 ms 295416 KB Output is correct
11 Correct 160 ms 295416 KB Output is correct
12 Correct 167 ms 295544 KB Output is correct
13 Correct 160 ms 295288 KB Output is correct
14 Correct 161 ms 295288 KB Output is correct
15 Correct 158 ms 295288 KB Output is correct
16 Correct 174 ms 295236 KB Output is correct
17 Correct 160 ms 296312 KB Output is correct
18 Correct 170 ms 296316 KB Output is correct
19 Correct 159 ms 296312 KB Output is correct
20 Correct 163 ms 295928 KB Output is correct
21 Correct 167 ms 296184 KB Output is correct
22 Correct 171 ms 296440 KB Output is correct
23 Correct 162 ms 296184 KB Output is correct
24 Correct 163 ms 295928 KB Output is correct
25 Correct 160 ms 295164 KB Output is correct
26 Correct 158 ms 295288 KB Output is correct
27 Correct 159 ms 295416 KB Output is correct
28 Correct 164 ms 295416 KB Output is correct
29 Correct 159 ms 295288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 295288 KB Output is correct
2 Correct 157 ms 295544 KB Output is correct
3 Correct 167 ms 295544 KB Output is correct
4 Correct 160 ms 295548 KB Output is correct
5 Correct 166 ms 295416 KB Output is correct
6 Correct 157 ms 295452 KB Output is correct
7 Correct 158 ms 295416 KB Output is correct
8 Correct 159 ms 295288 KB Output is correct
9 Correct 167 ms 295672 KB Output is correct
10 Correct 162 ms 295416 KB Output is correct
11 Correct 160 ms 295416 KB Output is correct
12 Correct 167 ms 295544 KB Output is correct
13 Correct 160 ms 295288 KB Output is correct
14 Correct 161 ms 295288 KB Output is correct
15 Correct 158 ms 295288 KB Output is correct
16 Correct 174 ms 295236 KB Output is correct
17 Correct 160 ms 296312 KB Output is correct
18 Correct 170 ms 296316 KB Output is correct
19 Correct 159 ms 296312 KB Output is correct
20 Correct 163 ms 295928 KB Output is correct
21 Correct 167 ms 296184 KB Output is correct
22 Correct 171 ms 296440 KB Output is correct
23 Correct 162 ms 296184 KB Output is correct
24 Correct 163 ms 295928 KB Output is correct
25 Correct 186 ms 300536 KB Output is correct
26 Correct 188 ms 300536 KB Output is correct
27 Correct 188 ms 300664 KB Output is correct
28 Correct 175 ms 298104 KB Output is correct
29 Correct 194 ms 300280 KB Output is correct
30 Correct 192 ms 300408 KB Output is correct
31 Correct 198 ms 300280 KB Output is correct
32 Correct 200 ms 300152 KB Output is correct
33 Correct 160 ms 295164 KB Output is correct
34 Correct 158 ms 295288 KB Output is correct
35 Correct 159 ms 295416 KB Output is correct
36 Correct 164 ms 295416 KB Output is correct
37 Correct 159 ms 295288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 295288 KB Output is correct
2 Correct 157 ms 295544 KB Output is correct
3 Correct 167 ms 295544 KB Output is correct
4 Correct 160 ms 295548 KB Output is correct
5 Correct 166 ms 295416 KB Output is correct
6 Correct 157 ms 295452 KB Output is correct
7 Correct 158 ms 295416 KB Output is correct
8 Correct 159 ms 295288 KB Output is correct
9 Correct 167 ms 295672 KB Output is correct
10 Correct 162 ms 295416 KB Output is correct
11 Correct 160 ms 295416 KB Output is correct
12 Correct 167 ms 295544 KB Output is correct
13 Correct 160 ms 295288 KB Output is correct
14 Correct 161 ms 295288 KB Output is correct
15 Correct 158 ms 295288 KB Output is correct
16 Correct 174 ms 295236 KB Output is correct
17 Correct 160 ms 296312 KB Output is correct
18 Correct 170 ms 296316 KB Output is correct
19 Correct 159 ms 296312 KB Output is correct
20 Correct 163 ms 295928 KB Output is correct
21 Correct 167 ms 296184 KB Output is correct
22 Correct 171 ms 296440 KB Output is correct
23 Correct 162 ms 296184 KB Output is correct
24 Correct 163 ms 295928 KB Output is correct
25 Correct 186 ms 300536 KB Output is correct
26 Correct 188 ms 300536 KB Output is correct
27 Correct 188 ms 300664 KB Output is correct
28 Correct 175 ms 298104 KB Output is correct
29 Correct 194 ms 300280 KB Output is correct
30 Correct 192 ms 300408 KB Output is correct
31 Correct 198 ms 300280 KB Output is correct
32 Correct 200 ms 300152 KB Output is correct
33 Correct 352 ms 330080 KB Output is correct
34 Correct 351 ms 330104 KB Output is correct
35 Correct 333 ms 329980 KB Output is correct
36 Correct 316 ms 329976 KB Output is correct
37 Correct 596 ms 353016 KB Output is correct
38 Correct 604 ms 353144 KB Output is correct
39 Correct 610 ms 353400 KB Output is correct
40 Correct 560 ms 349688 KB Output is correct
41 Correct 293 ms 316604 KB Output is correct
42 Correct 346 ms 322680 KB Output is correct
43 Correct 669 ms 350440 KB Output is correct
44 Correct 688 ms 352888 KB Output is correct
45 Correct 419 ms 325240 KB Output is correct
46 Correct 409 ms 323844 KB Output is correct
47 Correct 672 ms 348152 KB Output is correct
48 Correct 655 ms 349176 KB Output is correct
49 Correct 160 ms 295164 KB Output is correct
50 Correct 158 ms 295288 KB Output is correct
51 Correct 159 ms 295416 KB Output is correct
52 Correct 164 ms 295416 KB Output is correct
53 Correct 159 ms 295288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 159 ms 295928 KB Output is correct
2 Correct 164 ms 295804 KB Output is correct
3 Correct 158 ms 295288 KB Output is correct
4 Correct 170 ms 295416 KB Output is correct
5 Correct 161 ms 295800 KB Output is correct
6 Correct 164 ms 295800 KB Output is correct
7 Correct 161 ms 295800 KB Output is correct
8 Correct 164 ms 295804 KB Output is correct
9 Correct 162 ms 295800 KB Output is correct
10 Correct 164 ms 295416 KB Output is correct
11 Correct 172 ms 295800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 157 ms 295288 KB Output is correct
2 Correct 970 ms 402936 KB Output is correct
3 Correct 1984 ms 526712 KB Output is correct
4 Correct 1972 ms 527756 KB Output is correct
5 Correct 1991 ms 527776 KB Output is correct
6 Correct 313 ms 337752 KB Output is correct
7 Correct 438 ms 377212 KB Output is correct
8 Correct 471 ms 381180 KB Output is correct
9 Correct 160 ms 295164 KB Output is correct
10 Correct 158 ms 295288 KB Output is correct
11 Correct 159 ms 295416 KB Output is correct
12 Correct 164 ms 295416 KB Output is correct
13 Correct 159 ms 295288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 158 ms 295288 KB Output is correct
2 Correct 157 ms 295544 KB Output is correct
3 Correct 167 ms 295544 KB Output is correct
4 Correct 160 ms 295548 KB Output is correct
5 Correct 166 ms 295416 KB Output is correct
6 Correct 157 ms 295452 KB Output is correct
7 Correct 158 ms 295416 KB Output is correct
8 Correct 159 ms 295288 KB Output is correct
9 Correct 167 ms 295672 KB Output is correct
10 Correct 162 ms 295416 KB Output is correct
11 Correct 160 ms 295416 KB Output is correct
12 Correct 167 ms 295544 KB Output is correct
13 Correct 160 ms 295288 KB Output is correct
14 Correct 161 ms 295288 KB Output is correct
15 Correct 158 ms 295288 KB Output is correct
16 Correct 174 ms 295236 KB Output is correct
17 Correct 160 ms 296312 KB Output is correct
18 Correct 170 ms 296316 KB Output is correct
19 Correct 159 ms 296312 KB Output is correct
20 Correct 163 ms 295928 KB Output is correct
21 Correct 167 ms 296184 KB Output is correct
22 Correct 171 ms 296440 KB Output is correct
23 Correct 162 ms 296184 KB Output is correct
24 Correct 163 ms 295928 KB Output is correct
25 Correct 186 ms 300536 KB Output is correct
26 Correct 188 ms 300536 KB Output is correct
27 Correct 188 ms 300664 KB Output is correct
28 Correct 175 ms 298104 KB Output is correct
29 Correct 194 ms 300280 KB Output is correct
30 Correct 192 ms 300408 KB Output is correct
31 Correct 198 ms 300280 KB Output is correct
32 Correct 200 ms 300152 KB Output is correct
33 Correct 352 ms 330080 KB Output is correct
34 Correct 351 ms 330104 KB Output is correct
35 Correct 333 ms 329980 KB Output is correct
36 Correct 316 ms 329976 KB Output is correct
37 Correct 596 ms 353016 KB Output is correct
38 Correct 604 ms 353144 KB Output is correct
39 Correct 610 ms 353400 KB Output is correct
40 Correct 560 ms 349688 KB Output is correct
41 Correct 293 ms 316604 KB Output is correct
42 Correct 346 ms 322680 KB Output is correct
43 Correct 669 ms 350440 KB Output is correct
44 Correct 688 ms 352888 KB Output is correct
45 Correct 419 ms 325240 KB Output is correct
46 Correct 409 ms 323844 KB Output is correct
47 Correct 672 ms 348152 KB Output is correct
48 Correct 655 ms 349176 KB Output is correct
49 Correct 159 ms 295928 KB Output is correct
50 Correct 164 ms 295804 KB Output is correct
51 Correct 158 ms 295288 KB Output is correct
52 Correct 170 ms 295416 KB Output is correct
53 Correct 161 ms 295800 KB Output is correct
54 Correct 164 ms 295800 KB Output is correct
55 Correct 161 ms 295800 KB Output is correct
56 Correct 164 ms 295804 KB Output is correct
57 Correct 162 ms 295800 KB Output is correct
58 Correct 164 ms 295416 KB Output is correct
59 Correct 172 ms 295800 KB Output is correct
60 Correct 157 ms 295288 KB Output is correct
61 Correct 970 ms 402936 KB Output is correct
62 Correct 1984 ms 526712 KB Output is correct
63 Correct 1972 ms 527756 KB Output is correct
64 Correct 1991 ms 527776 KB Output is correct
65 Correct 313 ms 337752 KB Output is correct
66 Correct 438 ms 377212 KB Output is correct
67 Correct 471 ms 381180 KB Output is correct
68 Correct 3132 ms 665124 KB Output is correct
69 Correct 3002 ms 664952 KB Output is correct
70 Correct 2492 ms 664940 KB Output is correct
71 Correct 2292 ms 664952 KB Output is correct
72 Execution timed out 5115 ms 1003016 KB Time limit exceeded
73 Halted 0 ms 0 KB -