oj.uz

Submission #1064928

# Submission time Handle Problem Language Result Execution time Memory
1064928 2024-08-18T19:34:02 Z jerzyk Rectangles (IOI19_rect) C++17
72 / 100
 1494 ms 1048576 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
using namespace __gnu_pbds;
using namespace std;
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef long double ld;
const ll I = 1000LL * 1000LL * 1000LL * 1000LL * 1000LL * 1000LL;
const int II = 2 * 1000 * 1000 * 1000;
const ll M = 1000LL * 1000LL * 1000LL + 7LL;
const int N = 1<<12;
int drz[2 * N];

int tab[N][N];
vector<int> intr[N][N];
vector<pair<int, int>> que[N][N];
bool czy[N];
long long answer = 0;

void Add(int v, int x)
{
    v += N;
    while(v > 0)
        {drz[v] += x; v /= 2;}
}

int Query(int a, int b)
{
    a += N - 1; b += N + 1;
    int ans = 0;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) ans += drz[a + 1];
        if(b % 2 == 1) ans += drz[b - 1];
        a /= 2; b /= 2;
    }
    return ans;
}

void CntR(int n, int m)
{
    for(int i = 1; i <= n; ++i)
    {
        vector<pair<int, int>> kol;
        for(int j = m; j >= 1; --j)
        {
            while((int)kol.size() > 0 && kol.back().st <= tab[i][j])
                kol.pop_back();
            int xd = tab[i][j];
            //cerr << "R: " << i << " " << j << "\n";
            for(int k = kol.size() - 1; k >= 0 && tab[i][j - 1] > xd; --k)
            {
                intr[i][j].pb(kol[k].nd - 1);
                //cerr << kol[k].nd - 1 << " ";
                xd = max(xd, kol[k].st);
            }
            //cout << "\n";
            kol.pb(make_pair(tab[i][j], j));
        }
    }
    for(int j = 1; j <= m; ++j)
    {
        vector<pair<int, int>> akt;
        for(int i = j; i <= m; ++i)
            akt.pb(make_pair(i, 1));
        for(int i = 1; i <= n; ++i)
        {
            vector<pair<int, int>> nxt;
            int k = 0;
            //cerr << "DP: " << i << " " << j << "\n";
            for(int l = 0; l < (int)intr[i][j].size(); ++l)
            {
                while(k < (int)akt.size() && akt[k].st < intr[i][j][l])
                    ++k;
                if(k < (int)akt.size() && akt[k].st == intr[i][j][l])
                {
                    nxt.pb(akt[k]);
                    ++k;
                }else
                    nxt.pb(make_pair(intr[i][j][l], i));

                que[i][intr[i][j][l]].pb(make_pair(j, i - nxt.back().nd + 1));
                //cerr << nxt.back().st << " " << nxt.back().nd << "\n";
            }
            akt = nxt;
            intr[i][j].clear();
        }
    }
}

void CntL(int n, int m)
{
    for(int j = 1; j <= m; ++j)
    {
        vector<pair<int, int>> kol;
        for(int i = 1; i <= n; ++i)
        {
            while((int)kol.size() > 0 && kol.back().st <= tab[i][j])
                kol.pop_back();
            int xd = tab[i][j];
            //cerr << "U: " << i << " " << j << "\n";
            for(int k = kol.size() - 1; k >= 0 && tab[i + 1][j] > xd; --k)
            {
                intr[i][j].pb(kol[k].nd + 1);
                //cerr << kol[k].nd + 1 << "\n";
                xd = max(xd, kol[k].st);
            }
            sort(intr[i][j].begin(), intr[i][j].end());
            kol.pb(make_pair(tab[i][j], i));
        }
    }
    for(int i = 1; i <= n; ++i)
    {
        vector<pair<int, int>> akt;
        for(int j = i; j <= n; ++j)
            akt.pb(make_pair(j, 1));
        for(int j = 1; j <= m; ++j)
        {
            vector<pair<int, int>> nxt;
            int k = 0;
            //cerr << "DP: " << i << " " <<  j << "\n";
            for(int l = 0; l < (int)intr[i][j].size(); ++l)
            {
                while(k < (int)akt.size() && akt[k].st < intr[i][j][l])
                    ++k;
                if(k < (int)akt.size() && akt[k].st == intr[i][j][l])
                {
                    nxt.pb(make_pair(akt[k].nd, akt[k].st));
                    ++k;
                }else
                    nxt.pb(make_pair(j, intr[i][j][l]));
                //cerr << nxt.back().nd << " " << nxt.back().st << "\n";
            }
            akt = nxt;
            sort(akt.begin(), akt.end());
            int lim = akt.size();
            k = -1;
            //cout << "QUE: " << i << " " << j << "\n";
            for(int l = 0; l < (int)que[i][j].size(); ++l)
            {
                while(k < lim - 1 && akt[k + 1].st <= que[i][j][l].st)
                {
                    ++k;
                    Add(i - akt[k].nd + 1, 1);
                }
                answer += (ll)Query(1, que[i][j][l].nd);
                //for(int r = 0; r < lim; ++r)
                    //if(akt[r].st <= que[i][j][l].st && i - akt[r].nd + 1 <= que[i][j][l].nd)
                         //++answer;
            }
            for(k = k; k >= 0; --k)
                Add(i - akt[k].nd + 1, -1);

            for(int l = 0; l < (int)akt.size(); ++l)
                swap(akt[l].st, akt[l].nd);
            sort(akt.begin(), akt.end());
            intr[i][j].clear();
        }
    }
}

long long count_rectangles(vector<vector<int>> xd)
{
    int n = xd.size(), m = xd[0].size();
    for(int i = 1; i <= n; ++i)
        for(int j = 1; j <= m; ++j)
            tab[i][j] = xd[i - 1][j - 1];
    CntR(n, m);
    CntL(n, m);
    return answer;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 788308 KB Output is correct
2 Correct 323 ms 788492 KB Output is correct
3 Correct 287 ms 788524 KB Output is correct
4 Correct 329 ms 788560 KB Output is correct
5 Correct 275 ms 788304 KB Output is correct
6 Correct 288 ms 788560 KB Output is correct
7 Correct 291 ms 788308 KB Output is correct
8 Correct 301 ms 788432 KB Output is correct
9 Correct 297 ms 788560 KB Output is correct
10 Correct 284 ms 788388 KB Output is correct
11 Correct 463 ms 788556 KB Output is correct
12 Correct 317 ms 788412 KB Output is correct
13 Correct 413 ms 788308 KB Output is correct
14 Correct 303 ms 788308 KB Output is correct
15 Correct 286 ms 788344 KB Output is correct
16 Correct 294 ms 788196 KB Output is correct
17 Correct 277 ms 788352 KB Output is correct
18 Correct 291 ms 788304 KB Output is correct
19 Correct 287 ms 788304 KB Output is correct
20 Correct 276 ms 788308 KB Output is correct
21 Correct 272 ms 788292 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 788308 KB Output is correct
2 Correct 323 ms 788492 KB Output is correct
3 Correct 287 ms 788524 KB Output is correct
4 Correct 329 ms 788560 KB Output is correct
5 Correct 275 ms 788304 KB Output is correct
6 Correct 288 ms 788560 KB Output is correct
7 Correct 291 ms 788308 KB Output is correct
8 Correct 301 ms 788432 KB Output is correct
9 Correct 297 ms 788560 KB Output is correct
10 Correct 284 ms 788388 KB Output is correct
11 Correct 463 ms 788556 KB Output is correct
12 Correct 317 ms 788412 KB Output is correct
13 Correct 413 ms 788308 KB Output is correct
14 Correct 303 ms 788308 KB Output is correct
15 Correct 286 ms 788344 KB Output is correct
16 Correct 294 ms 788196 KB Output is correct
17 Correct 277 ms 788352 KB Output is correct
18 Correct 291 ms 788304 KB Output is correct
19 Correct 287 ms 788304 KB Output is correct
20 Correct 276 ms 788308 KB Output is correct
21 Correct 272 ms 788292 KB Output is correct
22 Correct 293 ms 789072 KB Output is correct
23 Correct 282 ms 788956 KB Output is correct
24 Correct 303 ms 789072 KB Output is correct
25 Correct 286 ms 788832 KB Output is correct
26 Correct 285 ms 788816 KB Output is correct
27 Correct 282 ms 788924 KB Output is correct
28 Correct 278 ms 788988 KB Output is correct
29 Correct 293 ms 788988 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 788308 KB Output is correct
2 Correct 323 ms 788492 KB Output is correct
3 Correct 287 ms 788524 KB Output is correct
4 Correct 329 ms 788560 KB Output is correct
5 Correct 275 ms 788304 KB Output is correct
6 Correct 288 ms 788560 KB Output is correct
7 Correct 291 ms 788308 KB Output is correct
8 Correct 301 ms 788432 KB Output is correct
9 Correct 297 ms 788560 KB Output is correct
10 Correct 284 ms 788388 KB Output is correct
11 Correct 463 ms 788556 KB Output is correct
12 Correct 317 ms 788412 KB Output is correct
13 Correct 413 ms 788308 KB Output is correct
14 Correct 303 ms 788308 KB Output is correct
15 Correct 286 ms 788344 KB Output is correct
16 Correct 294 ms 788196 KB Output is correct
17 Correct 293 ms 789072 KB Output is correct
18 Correct 282 ms 788956 KB Output is correct
19 Correct 303 ms 789072 KB Output is correct
20 Correct 286 ms 788832 KB Output is correct
21 Correct 285 ms 788816 KB Output is correct
22 Correct 282 ms 788924 KB Output is correct
23 Correct 278 ms 788988 KB Output is correct
24 Correct 293 ms 788988 KB Output is correct
25 Correct 277 ms 788352 KB Output is correct
26 Correct 291 ms 788304 KB Output is correct
27 Correct 287 ms 788304 KB Output is correct
28 Correct 276 ms 788308 KB Output is correct
29 Correct 272 ms 788292 KB Output is correct
30 Correct 293 ms 791376 KB Output is correct
31 Correct 305 ms 791556 KB Output is correct
32 Correct 299 ms 791332 KB Output is correct
33 Correct 278 ms 790476 KB Output is correct
34 Correct 299 ms 791120 KB Output is correct
35 Correct 295 ms 791088 KB Output is correct
36 Correct 320 ms 790952 KB Output is correct
37 Correct 307 ms 790980 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 788308 KB Output is correct
2 Correct 323 ms 788492 KB Output is correct
3 Correct 287 ms 788524 KB Output is correct
4 Correct 329 ms 788560 KB Output is correct
5 Correct 275 ms 788304 KB Output is correct
6 Correct 288 ms 788560 KB Output is correct
7 Correct 291 ms 788308 KB Output is correct
8 Correct 301 ms 788432 KB Output is correct
9 Correct 297 ms 788560 KB Output is correct
10 Correct 284 ms 788388 KB Output is correct
11 Correct 463 ms 788556 KB Output is correct
12 Correct 317 ms 788412 KB Output is correct
13 Correct 413 ms 788308 KB Output is correct
14 Correct 303 ms 788308 KB Output is correct
15 Correct 286 ms 788344 KB Output is correct
16 Correct 294 ms 788196 KB Output is correct
17 Correct 293 ms 789072 KB Output is correct
18 Correct 282 ms 788956 KB Output is correct
19 Correct 303 ms 789072 KB Output is correct
20 Correct 286 ms 788832 KB Output is correct
21 Correct 285 ms 788816 KB Output is correct
22 Correct 282 ms 788924 KB Output is correct
23 Correct 278 ms 788988 KB Output is correct
24 Correct 293 ms 788988 KB Output is correct
25 Correct 293 ms 791376 KB Output is correct
26 Correct 305 ms 791556 KB Output is correct
27 Correct 299 ms 791332 KB Output is correct
28 Correct 278 ms 790476 KB Output is correct
29 Correct 299 ms 791120 KB Output is correct
30 Correct 295 ms 791088 KB Output is correct
31 Correct 320 ms 790952 KB Output is correct
32 Correct 307 ms 790980 KB Output is correct
33 Correct 277 ms 788352 KB Output is correct
34 Correct 291 ms 788304 KB Output is correct
35 Correct 287 ms 788304 KB Output is correct
36 Correct 276 ms 788308 KB Output is correct
37 Correct 272 ms 788292 KB Output is correct
38 Correct 367 ms 809760 KB Output is correct
39 Correct 349 ms 806812 KB Output is correct
40 Correct 353 ms 815956 KB Output is correct
41 Correct 371 ms 814420 KB Output is correct
42 Correct 391 ms 821588 KB Output is correct
43 Correct 380 ms 821496 KB Output is correct
44 Correct 389 ms 821588 KB Output is correct
45 Correct 367 ms 819620 KB Output is correct
46 Correct 360 ms 807252 KB Output is correct
47 Correct 381 ms 810236 KB Output is correct
48 Correct 452 ms 817456 KB Output is correct
49 Correct 450 ms 817476 KB Output is correct
50 Correct 361 ms 802900 KB Output is correct
51 Correct 357 ms 802896 KB Output is correct
52 Correct 438 ms 816072 KB Output is correct
53 Correct 457 ms 816024 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 301 ms 788632 KB Output is correct
2 Correct 296 ms 788656 KB Output is correct
3 Correct 297 ms 788304 KB Output is correct
4 Correct 290 ms 788308 KB Output is correct
5 Correct 308 ms 788736 KB Output is correct
6 Correct 293 ms 788564 KB Output is correct
7 Correct 299 ms 788560 KB Output is correct
8 Correct 305 ms 788600 KB Output is correct
9 Correct 302 ms 788564 KB Output is correct
10 Correct 329 ms 788340 KB Output is correct
11 Correct 313 ms 788572 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 788352 KB Output is correct
2 Correct 291 ms 788304 KB Output is correct
3 Correct 287 ms 788304 KB Output is correct
4 Correct 276 ms 788308 KB Output is correct
5 Correct 272 ms 788292 KB Output is correct
6 Correct 276 ms 788560 KB Output is correct
7 Correct 754 ms 881748 KB Output is correct
8 Correct 1370 ms 988756 KB Output is correct
9 Correct 1399 ms 989688 KB Output is correct
10 Correct 1407 ms 989776 KB Output is correct
11 Correct 464 ms 827476 KB Output is correct
12 Correct 632 ms 864340 KB Output is correct
13 Correct 627 ms 867412 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 788308 KB Output is correct
2 Correct 323 ms 788492 KB Output is correct
3 Correct 287 ms 788524 KB Output is correct
4 Correct 329 ms 788560 KB Output is correct
5 Correct 275 ms 788304 KB Output is correct
6 Correct 288 ms 788560 KB Output is correct
7 Correct 291 ms 788308 KB Output is correct
8 Correct 301 ms 788432 KB Output is correct
9 Correct 297 ms 788560 KB Output is correct
10 Correct 284 ms 788388 KB Output is correct
11 Correct 463 ms 788556 KB Output is correct
12 Correct 317 ms 788412 KB Output is correct
13 Correct 413 ms 788308 KB Output is correct
14 Correct 303 ms 788308 KB Output is correct
15 Correct 286 ms 788344 KB Output is correct
16 Correct 294 ms 788196 KB Output is correct
17 Correct 293 ms 789072 KB Output is correct
18 Correct 282 ms 788956 KB Output is correct
19 Correct 303 ms 789072 KB Output is correct
20 Correct 286 ms 788832 KB Output is correct
21 Correct 285 ms 788816 KB Output is correct
22 Correct 282 ms 788924 KB Output is correct
23 Correct 278 ms 788988 KB Output is correct
24 Correct 293 ms 788988 KB Output is correct
25 Correct 293 ms 791376 KB Output is correct
26 Correct 305 ms 791556 KB Output is correct
27 Correct 299 ms 791332 KB Output is correct
28 Correct 278 ms 790476 KB Output is correct
29 Correct 299 ms 791120 KB Output is correct
30 Correct 295 ms 791088 KB Output is correct
31 Correct 320 ms 790952 KB Output is correct
32 Correct 307 ms 790980 KB Output is correct
33 Correct 367 ms 809760 KB Output is correct
34 Correct 349 ms 806812 KB Output is correct
35 Correct 353 ms 815956 KB Output is correct
36 Correct 371 ms 814420 KB Output is correct
37 Correct 391 ms 821588 KB Output is correct
38 Correct 380 ms 821496 KB Output is correct
39 Correct 389 ms 821588 KB Output is correct
40 Correct 367 ms 819620 KB Output is correct
41 Correct 360 ms 807252 KB Output is correct
42 Correct 381 ms 810236 KB Output is correct
43 Correct 452 ms 817456 KB Output is correct
44 Correct 450 ms 817476 KB Output is correct
45 Correct 361 ms 802900 KB Output is correct
46 Correct 357 ms 802896 KB Output is correct
47 Correct 438 ms 816072 KB Output is correct
48 Correct 457 ms 816024 KB Output is correct
49 Correct 301 ms 788632 KB Output is correct
50 Correct 296 ms 788656 KB Output is correct
51 Correct 297 ms 788304 KB Output is correct
52 Correct 290 ms 788308 KB Output is correct
53 Correct 308 ms 788736 KB Output is correct
54 Correct 293 ms 788564 KB Output is correct
55 Correct 299 ms 788560 KB Output is correct
56 Correct 305 ms 788600 KB Output is correct
57 Correct 302 ms 788564 KB Output is correct
58 Correct 329 ms 788340 KB Output is correct
59 Correct 313 ms 788572 KB Output is correct
60 Correct 276 ms 788560 KB Output is correct
61 Correct 754 ms 881748 KB Output is correct
62 Correct 1370 ms 988756 KB Output is correct
63 Correct 1399 ms 989688 KB Output is correct
64 Correct 1407 ms 989776 KB Output is correct
65 Correct 464 ms 827476 KB Output is correct
66 Correct 632 ms 864340 KB Output is correct
67 Correct 627 ms 867412 KB Output is correct
68 Correct 277 ms 788352 KB Output is correct
69 Correct 291 ms 788304 KB Output is correct
70 Correct 287 ms 788304 KB Output is correct
71 Correct 276 ms 788308 KB Output is correct
72 Correct 272 ms 788292 KB Output is correct
73 Correct 1494 ms 1017168 KB Output is correct
74 Correct 1079 ms 983512 KB Output is correct
75 Runtime error 1028 ms 1048576 KB Execution killed with signal 9
76 Halted 0 ms 0 KB -