Submission #797440

# Submission time Handle Problem Language Result Execution time Memory
797440 2023-07-29T11:26:30 Z finn__ L-triominoes (CEOI21_ltriominoes) C++17
0 / 100
8000 ms 136132 KB
#pragma GCC optimize("O3")

#include <bits/stdc++.h>
using namespace std;

constexpr size_t W = 13, K = 250;

pair<size_t, size_t> p[K];
vector<uint32_t> transitions[1 << 13];
bitset<1 << W> state[2];

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

    size_t w, h, k;
    cin >> w >> h >> k;
    assert(h <= 1000);

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

    for (size_t y = 0; y < 1 << w; ++y)
    {
        queue<uint32_t> q;
        q.push(y << W);

        while (!q.empty())
        {
            uint32_t u = q.front();
            q.pop();

            size_t i = u >> W, j = u & ((1 << W) - 1);

            if (i == (1 << w) - 1)
            {
                transitions[y].push_back(j);
                continue;
            }

            for (size_t h = 0; h < w; ++h)
                if (!(i & (1 << h)))
                {
                    if (h && !(j & (1 << h)) && !(j & (1 << (h - 1))))
                    {
                        size_t ni = i ^ (1 << h), nj = j ^ (1 << h) ^ (1 << (h - 1));
                        q.push((ni << W) | nj);
                    }
                    if (h + 1 < w && !(j & (1 << h)) && !(j & (1 << (h + 1))))
                    {
                        size_t ni = i ^ (1 << h), nj = j ^ (1 << h) ^ (1 << (h + 1));
                        q.push((ni << W) | nj);
                    }
                    if (h + 1 < w && !(i & (1 << (h + 1))) && !(j & (1 << h)))
                    {
                        size_t ni = i ^ (1 << h) ^ (1 << (h + 1)), nj = j ^ (1 << h);
                        q.push((ni << W) | nj);
                    }
                    if (h + 1 < w && !(i & (1 << (h + 1))) && !(j & (1 << (h + 1))))
                    {
                        size_t ni = i ^ (1 << h) ^ (1 << (h + 1)), nj = j ^ (1 << (h + 1));
                        q.push((ni << W) | nj);
                    }
                }
        }
    }

    if (w >= 12)
        exit(-1);

    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 (!p[i].second)
            x |= 1ULL << p[i].first, ++i;
        state[0][x] = 1;
    }
    else
        state[0][0] = 1;

    while (i < k)
    {
        while (pos < p[i].second)
        {
            state[1].reset();
            for (size_t i = 0; i < 1 << w; ++i)
                if (state[0][i])
                    for (size_t j : transitions[i])
                        state[1][j] = 1;
            swap(state[0], state[1]);
            ++pos;
        }

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

    while (pos < h - 1)
    {
        state[1].reset();
        for (size_t i = 0; i < 1 << w; ++i)
            if (state[0][i])
                for (size_t j : transitions[i])
                    state[1][j] = 1;
        swap(state[0], state[1]);
        ++pos;
    }

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

Compilation message

ltrominoes.cpp: In function 'int main()':
ltrominoes.cpp:24:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   24 |     for (size_t y = 0; y < 1 << w; ++y)
      |                        ~~^~~~~~~~
ltrominoes.cpp:36:19: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   36 |             if (i == (1 << w) - 1)
      |                 ~~^~~~~~~~~~~~~~~
ltrominoes.cpp:90:34: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   90 |             for (size_t i = 0; i < 1 << w; ++i)
      |                                ~~^~~~~~~~
ltrominoes.cpp:105:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  105 |         for (size_t i = 0; i < 1 << w; ++i)
      |                            ~~^~~~~~~~
ltrominoes.cpp:114:30: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  114 |         for (size_t i = 0; i < 1 << w; ++i)
      |                            ~~^~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Execution timed out 8053 ms 136132 KB Time limit exceeded
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 852 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 852 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 852 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 852 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Execution timed out 8053 ms 136132 KB Time limit exceeded
9 Halted 0 ms 0 KB -