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Submission #797967

# Submission time Handle Problem Language Result Execution time Memory
797967 2023-07-30T08:04:12 Z finn__ L-triominoes (CEOI21_ltriominoes) C++17
62 / 100
 3193 ms 340 KB 
#include <bits/stdc++.h>
using namespace std;

constexpr size_t W = 13, K = 250, C = 12;

size_t w;
pair<size_t, size_t> p[K];
bitset<1 << W> state[2];
size_t r, s;

void find_transitions(uint32_t i, uint32_t j, bitset<1 << W> &next_state, size_t l = 0)
{
    if (i == (1 << w) - 1)
    {
        next_state[j] = 1;
        return;
    }

    for (size_t h = l; h < w; ++h)
        if (!(i & (1 << h)))
        {
            if (h && !(j & (1 << h)) && !(j & (1 << (h - 1))))
                find_transitions(i ^ (1 << h), j ^ (1 << h) ^ (1 << (h - 1)), next_state, h + 1);
            if (h + 1 < w && !(j & (1 << h)) && !(j & (1 << (h + 1))))
                find_transitions(i ^ (1 << h), j ^ (1 << h) ^ (1 << (h + 1)), next_state, h + 1);
            if (h + 1 < w && !(i & (1 << (h + 1))) && !(j & (1 << h)))
                find_transitions(i ^ (1 << h) ^ (1 << (h + 1)), j ^ (1 << h), next_state, h + 2);
            if (h + 1 < w && !(i & (1 << (h + 1))) && !(j & (1 << (h + 1))))
                find_transitions(i ^ (1 << h) ^ (1 << (h + 1)), j ^ (1 << (h + 1)), next_state, h + 2);
            break;
        }
}

void advance_state(size_t l)
{
    if (l <= C)
    {
        while (l--)
        {
            state[1].reset();
            for (size_t i = 0; i < 1 << w; ++i)
                if (state[0][i])
                    find_transitions(i, 0, state[1]);
            swap(state[0], state[1]);
        }
    }
    else
    {
        bitset<3> curr_components;
        for (size_t i = 0; i < 1 << w; ++i)
            if ((!(w & 1) || i != s) && state[0][i])
                curr_components[__builtin_popcount(i) % 3] = 1;

        state[0].reset();

        size_t d = ((l * w) % 3);
        for (size_t i = 0; i < 1 << w; ++i)
            if ((!(w & 1) || i != r) && curr_components[(__builtin_popcount(i) + d) % 3])
                state[0][i] = 1;
    }
};

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    size_t h, k;
    cin >> w >> h >> k;

    for (size_t i = 0; i < w; i += 2)
        r |= 1 << i;
    for (size_t i = 1; i < w; i += 2)
        s |= 1 << i;

    for (size_t i = 0; i < k; ++i)
        cin >> p[i].first >> p[i].second, --p[i].first, --p[i].second;

    sort(p, p + k, [](auto const &a, auto const &b)
         { return a.second < b.second; });
    size_t i = 0, pos = 0;
    if (k && !p[0].second)
    {
        size_t x = 0;
        while (i < k && !p[i].second)
            x |= 1ULL << p[i].first, ++i;
        state[0][x] = 1;
    }
    else
        state[0][0] = 1;

    while (i < k)
    {
        advance_state(p[i].second - pos);
        pos = p[i].second;

        size_t x = 0;
        size_t j = i;
        while (j < k && p[j].second == p[i].second)
            x |= 1ULL << p[j].first, ++j;
        i = j;

        state[1].reset();
        for (size_t i = 0; i < 1 << w; ++i)
            if (!(i & x) && state[0][i])
                state[1][i ^ x] = 1;
        swap(state[0], state[1]);
    }

    advance_state(h - 1 - pos);

    cout << (state[0][(1 << w) - 1] ? "YES" : "NO") << '\n';
}

Compilation message

ltrominoes.cpp: In function 'void find_transitions(uint32_t, uint32_t, std::bitset<8192>&, size_t)':
ltrominoes.cpp:13:11: warning: comparison of integer expressions of different signedness: 'uint32_t' {aka 'unsigned int'} and 'int' [-Wsign-compare]
   13 |     if (i == (1 << w) - 1)
      |         ~~^~~~~~~~~~~~~~~
ltrominoes.cpp: In function 'void advance_state(size_t)':
ltrominoes.cpp:41:34: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   41 |             for (size_t i = 0; i < 1 << w; ++i)
      |                                ~~^~~~~~~~
ltrominoes.cpp:50:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   50 |         for (size_t i = 0; i < 1 << w; ++i)
      |                            ~~^~~~~~~~
ltrominoes.cpp:57:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   57 |         for (size_t i = 0; i < 1 << w; ++i)
      |                            ~~^~~~~~~~
ltrominoes.cpp: In function 'int main()':
ltrominoes.cpp:104:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  104 |         for (size_t i = 0; i < 1 << w; ++i)
      |                            ~~^~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 943 ms 308 KB Output is correct
17 Correct 12 ms 212 KB Output is correct
18 Correct 336 ms 312 KB Output is correct
19 Correct 2 ms 212 KB Output is correct
20 Correct 636 ms 312 KB Output is correct
21 Correct 237 ms 308 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 2 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 104 ms 308 KB Output is correct
26 Correct 469 ms 304 KB Output is correct
27 Correct 1 ms 212 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Incorrect 1 ms 212 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 328 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 324 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Incorrect 1 ms 212 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 328 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 4 ms 280 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 328 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 3 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 2 ms 212 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 5 ms 212 KB Output is correct
5 Correct 7 ms 212 KB Output is correct
6 Correct 7 ms 328 KB Output is correct
7 Correct 3 ms 212 KB Output is correct
8 Correct 4 ms 212 KB Output is correct
9 Correct 5 ms 332 KB Output is correct
10 Correct 6 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 2 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 3 ms 212 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 3 ms 324 KB Output is correct
18 Correct 2 ms 332 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 6 ms 212 KB Output is correct
21 Correct 3 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 212 KB Output is correct
24 Correct 17 ms 324 KB Output is correct
25 Correct 13 ms 212 KB Output is correct
26 Correct 16 ms 328 KB Output is correct
27 Correct 24 ms 212 KB Output is correct
28 Correct 35 ms 212 KB Output is correct
29 Correct 41 ms 212 KB Output is correct
30 Correct 272 ms 212 KB Output is correct
31 Correct 10 ms 336 KB Output is correct
32 Correct 29 ms 320 KB Output is correct
33 Correct 6 ms 328 KB Output is correct
34 Correct 12 ms 212 KB Output is correct
35 Correct 17 ms 336 KB Output is correct
36 Correct 17 ms 328 KB Output is correct
37 Correct 9 ms 332 KB Output is correct
38 Correct 38 ms 212 KB Output is correct
39 Correct 4 ms 212 KB Output is correct
40 Correct 27 ms 308 KB Output is correct
41 Correct 13 ms 332 KB Output is correct
42 Correct 14 ms 212 KB Output is correct
43 Correct 231 ms 324 KB Output is correct
44 Correct 19 ms 212 KB Output is correct
45 Correct 12 ms 328 KB Output is correct
46 Correct 12 ms 324 KB Output is correct
47 Correct 3193 ms 312 KB Output is correct
48 Correct 2526 ms 320 KB Output is correct
49 Correct 689 ms 308 KB Output is correct
50 Correct 185 ms 212 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 943 ms 308 KB Output is correct
17 Correct 12 ms 212 KB Output is correct
18 Correct 336 ms 312 KB Output is correct
19 Correct 2 ms 212 KB Output is correct
20 Correct 636 ms 312 KB Output is correct
21 Correct 237 ms 308 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 2 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 104 ms 308 KB Output is correct
26 Correct 469 ms 304 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 332 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Incorrect 1 ms 212 KB Output isn't correct
37 Halted 0 ms 0 KB -