oj.uz

Submission #274186

# Submission time Handle Problem Language Result Execution time Memory
274186 2020-08-19T09:33:52 Z ne4eHbKa Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 506604 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;

#define ft first
#define sd second
#define _ <<' '<<

void* MEM = malloc(600 << 20);

void* operator new(const size_t f) {
    void* res = MEM;
    MEM += f;
    return res;
}

void operator delete(void*) {}

#pragma GCC optimize("Ofast,O3")

namespace S {

//#include <ext/pb_ds/assoc_container.hpp>

//typedef __gnu_pbds::cc_hash_table<int, int> ht;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vv;
typedef pair<int, int> pii;

const int N = 2505;

int n, m;
forward_list<short> l[N][N], u[N][N];
int p[N], length[N], la[N];
map<int, int> fl[N], cl, fu, cu;
bool mk[N];
int c[2 * N], cn, xn, yn, rc[2 * N];
pii x[N], y[N];
int f[N], fn;

int fw[2 * N], fmax;
inline void finit(const int n) { fmax = n; memset(fw, 0, n + 1 << 2); }
inline void fadd(int i) { for(i = fmax - i; i <= fmax; i += i & -i) fw[i]++; }
inline int fget(int i) { int v{}; for(i = fmax - i; i; i -= i & -i) v += fw[i]; return v; }

inline int get(const map<int, int> &a, const int &b) {
    const auto f = a.find(b);
    if(f == a.end()) return 0;
    return f->sd;
}

ll solve() {
    ll ans = 0;
    for(int i = 0; i < n; ++i) {
        for(int j = 0; j < m; ++j) {
            swap(cl, fl[j]);
            for(const int &t : l[i][j])
                fl[j][t] = get(cl, t) + 1;
            cl.clear();
            swap(cu, fu);
            for(const int &t : u[i][j])
                fu[t] = get(cu, t) + 1;
            cu.clear();
            const auto &a = fl[j], &b = fu;
            if(a.size() * b.size() < 5) {
                for(const auto &i : a)
                    for(const auto &j : b)
                        ans += i.ft <= j.sd && j.ft <= i.sd;
                continue;
            }
            cn = 0;
            for(const auto &i : a) c[cn++] = i.ft;
            for(const auto &i : b) c[cn++] = i.sd;
            sort(c, c + cn);
            cn = unique(c, c + cn) - c;
            xn = yn = 0;
            finit(cn);
            for(int i = 0; i < cn; ++i) rc[c[i]] = i;
            for(const auto &i : a) x[xn++] = {i.sd, rc[i.ft]};
            for(const auto &i : b) y[yn++] = {i.ft, rc[i.sd]};
            sort(x, x + xn);
            sort(y, y + yn);
            int it = 0;
            for(int i = 0; i < xn; ++i) {
                for(; it < yn && y[it].ft <= x[i].ft; ++it)
                    fadd(y[it].sd);
                ans += fget(x[i].sd);
            }
        }
        fu.clear();
    }
    return ans;
}

int last(int i) {
    return la[i] == i ? i : la[i] = last(la[i]);
}

void unite(int i, int j) {
    i = last(i), j = last(j);
    length[j] += length[i];
    la[i] = j;
}

}

S::ll count_rectangles(S::vv a) {
    using namespace S;
    n = a.size();
    m = a[0].size();
    for(int i = 0; i < n; ++i) {
        iota(p, p + m, 0);
        iota(la, la + m, 0);
        memset(mk, 0, m);
        sort(p, p + m, [&] (const int &fi, const int &se) {return a[i][fi] < a[i][se];});
        for(int t = 0; t < m; ) {
            int v = a[i][p[t]];
            fn = 0;
            for(; t < m && a[i][p[t]] == v; ++t) {
                int j = p[t];
                mk[j] = true;
                length[j] = 1;
                f[fn++] = j;
                if(j + 1 < m && mk[j + 1]) unite(j, j + 1);
                if(j && mk[j - 1]) unite(j - 1, j);
            }
            for(int it = 0; it < fn; ++it) mk[f[it] = last(f[it])] = false;
            for(int it = 0; it < fn; ++it) {
                int j = f[it];
                if(mk[j]) continue;
                mk[j] = true;
                if(i == 0 || i == n - 1) continue;
                if(j == m - 1 || length[j] == j + 1) continue;
                l[i][j].push_front(length[j]);
            }
        }
    }
    for(int j = 0; j < m; ++j) {
        iota(p, p + n, 0);
        iota(la, la + n, 0);
        memset(mk, 0, n);
        sort(p, p + n, [&] (const int &fi, const int &se) {return a[fi][j] < a[se][j];});
        for(int t = 0; t < n; ) {
            int v = a[p[t]][j];
            fn = 0;
            for(; t < n && a[p[t]][j] == v; ++t) {
                int i = p[t];
                mk[i] = true;
                length[i] = 1;
                f[fn++] = i;
                if(i + 1 < n && mk[i + 1]) unite(i, i + 1);
                if(i && mk[i - 1]) unite(i - 1, i);
            }
            for(int it = 0; it < fn; ++it) mk[f[it] = last(f[it])] = false;
            for(int it = 0; it < fn; ++it) {
                int i = f[it];
                if(mk[i]) continue;
                mk[i] = true;
                if(j == 0 || j == m - 1) continue;
                if(i == n - 1 || length[i] == i + 1) continue;
                u[i][j].push_front(length[i]);
            }
        }
    }
    return solve();
}

#undef ft
#undef sd
#undef _

Compilation message

rect.cpp: In function 'void* operator new(size_t)':
rect.cpp:13:9: warning: pointer of type 'void *' used in arithmetic [-Wpointer-arith]
   13 |     MEM += f;
      |     ~~~~^~~~
rect.cpp: In function 'void S::finit(int)':
rect.cpp:43:60: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   43 | inline void finit(const int n) { fmax = n; memset(fw, 0, n + 1 << 2); }
      |                                                          ~~^~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 98680 KB Output is correct
2 Correct 79 ms 98808 KB Output is correct
3 Correct 79 ms 98808 KB Output is correct
4 Correct 92 ms 98808 KB Output is correct
5 Correct 79 ms 98680 KB Output is correct
6 Correct 98 ms 98812 KB Output is correct
7 Correct 79 ms 98680 KB Output is correct
8 Correct 81 ms 98684 KB Output is correct
9 Correct 80 ms 98808 KB Output is correct
10 Correct 91 ms 98764 KB Output is correct
11 Correct 80 ms 98808 KB Output is correct
12 Correct 104 ms 98808 KB Output is correct
13 Correct 92 ms 98680 KB Output is correct
14 Correct 80 ms 98680 KB Output is correct
15 Correct 89 ms 98736 KB Output is correct
16 Correct 90 ms 98680 KB Output is correct
17 Correct 108 ms 98684 KB Output is correct
18 Correct 80 ms 98680 KB Output is correct
19 Correct 93 ms 98680 KB Output is correct
20 Correct 90 ms 98684 KB Output is correct
21 Correct 79 ms 98680 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 98680 KB Output is correct
2 Correct 79 ms 98808 KB Output is correct
3 Correct 79 ms 98808 KB Output is correct
4 Correct 92 ms 98808 KB Output is correct
5 Correct 79 ms 98680 KB Output is correct
6 Correct 98 ms 98812 KB Output is correct
7 Correct 79 ms 98680 KB Output is correct
8 Correct 81 ms 98684 KB Output is correct
9 Correct 80 ms 98808 KB Output is correct
10 Correct 91 ms 98764 KB Output is correct
11 Correct 80 ms 98808 KB Output is correct
12 Correct 104 ms 98808 KB Output is correct
13 Correct 92 ms 98680 KB Output is correct
14 Correct 80 ms 98680 KB Output is correct
15 Correct 89 ms 98736 KB Output is correct
16 Correct 90 ms 98680 KB Output is correct
17 Correct 84 ms 99576 KB Output is correct
18 Correct 95 ms 99576 KB Output is correct
19 Correct 89 ms 99448 KB Output is correct
20 Correct 77 ms 99064 KB Output is correct
21 Correct 79 ms 99320 KB Output is correct
22 Correct 88 ms 99320 KB Output is correct
23 Correct 88 ms 99320 KB Output is correct
24 Correct 77 ms 98936 KB Output is correct
25 Correct 108 ms 98684 KB Output is correct
26 Correct 80 ms 98680 KB Output is correct
27 Correct 93 ms 98680 KB Output is correct
28 Correct 90 ms 98684 KB Output is correct
29 Correct 79 ms 98680 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 98680 KB Output is correct
2 Correct 79 ms 98808 KB Output is correct
3 Correct 79 ms 98808 KB Output is correct
4 Correct 92 ms 98808 KB Output is correct
5 Correct 79 ms 98680 KB Output is correct
6 Correct 98 ms 98812 KB Output is correct
7 Correct 79 ms 98680 KB Output is correct
8 Correct 81 ms 98684 KB Output is correct
9 Correct 80 ms 98808 KB Output is correct
10 Correct 91 ms 98764 KB Output is correct
11 Correct 80 ms 98808 KB Output is correct
12 Correct 104 ms 98808 KB Output is correct
13 Correct 92 ms 98680 KB Output is correct
14 Correct 80 ms 98680 KB Output is correct
15 Correct 89 ms 98736 KB Output is correct
16 Correct 90 ms 98680 KB Output is correct
17 Correct 84 ms 99576 KB Output is correct
18 Correct 95 ms 99576 KB Output is correct
19 Correct 89 ms 99448 KB Output is correct
20 Correct 77 ms 99064 KB Output is correct
21 Correct 79 ms 99320 KB Output is correct
22 Correct 88 ms 99320 KB Output is correct
23 Correct 88 ms 99320 KB Output is correct
24 Correct 77 ms 98936 KB Output is correct
25 Correct 107 ms 103272 KB Output is correct
26 Correct 114 ms 103288 KB Output is correct
27 Correct 117 ms 103288 KB Output is correct
28 Correct 121 ms 100728 KB Output is correct
29 Correct 109 ms 103052 KB Output is correct
30 Correct 103 ms 103160 KB Output is correct
31 Correct 106 ms 102904 KB Output is correct
32 Correct 116 ms 102764 KB Output is correct
33 Correct 108 ms 98684 KB Output is correct
34 Correct 80 ms 98680 KB Output is correct
35 Correct 93 ms 98680 KB Output is correct
36 Correct 90 ms 98684 KB Output is correct
37 Correct 79 ms 98680 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 98680 KB Output is correct
2 Correct 79 ms 98808 KB Output is correct
3 Correct 79 ms 98808 KB Output is correct
4 Correct 92 ms 98808 KB Output is correct
5 Correct 79 ms 98680 KB Output is correct
6 Correct 98 ms 98812 KB Output is correct
7 Correct 79 ms 98680 KB Output is correct
8 Correct 81 ms 98684 KB Output is correct
9 Correct 80 ms 98808 KB Output is correct
10 Correct 91 ms 98764 KB Output is correct
11 Correct 80 ms 98808 KB Output is correct
12 Correct 104 ms 98808 KB Output is correct
13 Correct 92 ms 98680 KB Output is correct
14 Correct 80 ms 98680 KB Output is correct
15 Correct 89 ms 98736 KB Output is correct
16 Correct 90 ms 98680 KB Output is correct
17 Correct 84 ms 99576 KB Output is correct
18 Correct 95 ms 99576 KB Output is correct
19 Correct 89 ms 99448 KB Output is correct
20 Correct 77 ms 99064 KB Output is correct
21 Correct 79 ms 99320 KB Output is correct
22 Correct 88 ms 99320 KB Output is correct
23 Correct 88 ms 99320 KB Output is correct
24 Correct 77 ms 98936 KB Output is correct
25 Correct 107 ms 103272 KB Output is correct
26 Correct 114 ms 103288 KB Output is correct
27 Correct 117 ms 103288 KB Output is correct
28 Correct 121 ms 100728 KB Output is correct
29 Correct 109 ms 103052 KB Output is correct
30 Correct 103 ms 103160 KB Output is correct
31 Correct 106 ms 102904 KB Output is correct
32 Correct 116 ms 102764 KB Output is correct
33 Correct 294 ms 129400 KB Output is correct
34 Correct 251 ms 129400 KB Output is correct
35 Correct 263 ms 129336 KB Output is correct
36 Correct 239 ms 129292 KB Output is correct
37 Correct 420 ms 156112 KB Output is correct
38 Correct 398 ms 155916 KB Output is correct
39 Correct 407 ms 156060 KB Output is correct
40 Correct 380 ms 152184 KB Output is correct
41 Correct 191 ms 115956 KB Output is correct
42 Correct 219 ms 123384 KB Output is correct
43 Correct 456 ms 154456 KB Output is correct
44 Correct 484 ms 155232 KB Output is correct
45 Correct 257 ms 126776 KB Output is correct
46 Correct 227 ms 126712 KB Output is correct
47 Correct 376 ms 150752 KB Output is correct
48 Correct 381 ms 151032 KB Output is correct
49 Correct 108 ms 98684 KB Output is correct
50 Correct 80 ms 98680 KB Output is correct
51 Correct 93 ms 98680 KB Output is correct
52 Correct 90 ms 98684 KB Output is correct
53 Correct 79 ms 98680 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 99096 KB Output is correct
2 Correct 95 ms 99064 KB Output is correct
3 Correct 78 ms 98808 KB Output is correct
4 Correct 77 ms 98680 KB Output is correct
5 Correct 81 ms 98936 KB Output is correct
6 Correct 79 ms 98936 KB Output is correct
7 Correct 91 ms 98936 KB Output is correct
8 Correct 80 ms 99068 KB Output is correct
9 Correct 93 ms 98936 KB Output is correct
10 Correct 78 ms 98716 KB Output is correct
11 Correct 81 ms 98808 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 98736 KB Output is correct
2 Correct 919 ms 199448 KB Output is correct
3 Correct 2001 ms 317380 KB Output is correct
4 Correct 1967 ms 318712 KB Output is correct
5 Correct 1968 ms 318808 KB Output is correct
6 Correct 586 ms 123000 KB Output is correct
7 Correct 1224 ms 144792 KB Output is correct
8 Correct 1327 ms 147832 KB Output is correct
9 Correct 108 ms 98684 KB Output is correct
10 Correct 80 ms 98680 KB Output is correct
11 Correct 93 ms 98680 KB Output is correct
12 Correct 90 ms 98684 KB Output is correct
13 Correct 79 ms 98680 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 98680 KB Output is correct
2 Correct 79 ms 98808 KB Output is correct
3 Correct 79 ms 98808 KB Output is correct
4 Correct 92 ms 98808 KB Output is correct
5 Correct 79 ms 98680 KB Output is correct
6 Correct 98 ms 98812 KB Output is correct
7 Correct 79 ms 98680 KB Output is correct
8 Correct 81 ms 98684 KB Output is correct
9 Correct 80 ms 98808 KB Output is correct
10 Correct 91 ms 98764 KB Output is correct
11 Correct 80 ms 98808 KB Output is correct
12 Correct 104 ms 98808 KB Output is correct
13 Correct 92 ms 98680 KB Output is correct
14 Correct 80 ms 98680 KB Output is correct
15 Correct 89 ms 98736 KB Output is correct
16 Correct 90 ms 98680 KB Output is correct
17 Correct 84 ms 99576 KB Output is correct
18 Correct 95 ms 99576 KB Output is correct
19 Correct 89 ms 99448 KB Output is correct
20 Correct 77 ms 99064 KB Output is correct
21 Correct 79 ms 99320 KB Output is correct
22 Correct 88 ms 99320 KB Output is correct
23 Correct 88 ms 99320 KB Output is correct
24 Correct 77 ms 98936 KB Output is correct
25 Correct 107 ms 103272 KB Output is correct
26 Correct 114 ms 103288 KB Output is correct
27 Correct 117 ms 103288 KB Output is correct
28 Correct 121 ms 100728 KB Output is correct
29 Correct 109 ms 103052 KB Output is correct
30 Correct 103 ms 103160 KB Output is correct
31 Correct 106 ms 102904 KB Output is correct
32 Correct 116 ms 102764 KB Output is correct
33 Correct 294 ms 129400 KB Output is correct
34 Correct 251 ms 129400 KB Output is correct
35 Correct 263 ms 129336 KB Output is correct
36 Correct 239 ms 129292 KB Output is correct
37 Correct 420 ms 156112 KB Output is correct
38 Correct 398 ms 155916 KB Output is correct
39 Correct 407 ms 156060 KB Output is correct
40 Correct 380 ms 152184 KB Output is correct
41 Correct 191 ms 115956 KB Output is correct
42 Correct 219 ms 123384 KB Output is correct
43 Correct 456 ms 154456 KB Output is correct
44 Correct 484 ms 155232 KB Output is correct
45 Correct 257 ms 126776 KB Output is correct
46 Correct 227 ms 126712 KB Output is correct
47 Correct 376 ms 150752 KB Output is correct
48 Correct 381 ms 151032 KB Output is correct
49 Correct 81 ms 99096 KB Output is correct
50 Correct 95 ms 99064 KB Output is correct
51 Correct 78 ms 98808 KB Output is correct
52 Correct 77 ms 98680 KB Output is correct
53 Correct 81 ms 98936 KB Output is correct
54 Correct 79 ms 98936 KB Output is correct
55 Correct 91 ms 98936 KB Output is correct
56 Correct 80 ms 99068 KB Output is correct
57 Correct 93 ms 98936 KB Output is correct
58 Correct 78 ms 98716 KB Output is correct
59 Correct 81 ms 98808 KB Output is correct
60 Correct 79 ms 98736 KB Output is correct
61 Correct 919 ms 199448 KB Output is correct
62 Correct 2001 ms 317380 KB Output is correct
63 Correct 1967 ms 318712 KB Output is correct
64 Correct 1968 ms 318808 KB Output is correct
65 Correct 586 ms 123000 KB Output is correct
66 Correct 1224 ms 144792 KB Output is correct
67 Correct 1327 ms 147832 KB Output is correct
68 Correct 3607 ms 489936 KB Output is correct
69 Correct 3115 ms 490124 KB Output is correct
70 Correct 3201 ms 489972 KB Output is correct
71 Correct 2467 ms 489872 KB Output is correct
72 Execution timed out 5098 ms 506604 KB Time limit exceeded
73 Halted 0 ms 0 KB -