Submission #698128

# Submission time Handle Problem Language Result Execution time Memory
698128 2023-02-12T12:36:51 Z finn__ RLE (BOI06_rle) C++17
70 / 100
1028 ms 134972 KB
#include <bits/stdc++.h>
using namespace std;

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

    size_t n, m;
    cin >> n >> m;

    vector<pair<unsigned, uint64_t>> seq;
    unsigned e = 0;

    for (size_t i = 0; i < m; i++)
    {
        unsigned x;
        cin >> x;
        if (x == e)
        {
            i += 2;
            unsigned y, z;
            cin >> y >> z;
            if (y == e)
            { // Repeat e.
                if (!seq.empty() && seq.back().first == x)
                    seq.back().second += z + 1;
                else
                    seq.emplace_back(x, z + 1);
            }
            else
            {
                if (z)
                { // Repeat y.
                    if (!seq.empty() && seq.back().first == y)
                        seq.back().second += z + 3;
                    else
                        seq.emplace_back(y, z + 3);
                }
                else
                    e = y;
            }
        }
        else
        {
            if (!seq.empty() && seq.back().first == x)
                seq.back().second++;
            else
                seq.emplace_back(x, 1);
        }
    }

    vector<uint64_t> additional_cost(seq.size());

    for (size_t i = 0; i < seq.size(); i++)
    {
        auto const &[l, a] = seq[i];
        uint64_t b = a, c = 0;
        while (b > 3)
        {
            c += 3;
            b -= min(b, n + 2);
        }
        if (b)
            c += b;
        b = a;
        while (b)
        {
            additional_cost[i] += 3;
            b -= min(b, n);
        }
        additional_cost[i] -= c;
    }

    priority_queue<pair<uint64_t, unsigned>, vector<pair<uint64_t, unsigned>>, greater<pair<uint64_t, unsigned>>> q;
    vector<uint64_t> dp(n, 3);
    vector<vector<unsigned>> prev_letter(n), position(n);
    q.emplace(0, 0);
    dp[0] = 0;
    for (size_t i = 1; i < n; i++)
        q.emplace(3, i);

    for (size_t i = 0; i < seq.size(); i++)
    {
        unsigned const l = seq[i].first;
        while (!q.empty() && (dp[q.top().second] != q.top().first || q.top().second == l))
            q.pop();

        if (!q.empty() && q.top().first + 3 < dp[l] + additional_cost[i])
        {
            dp[l] = q.top().first + 3;
            prev_letter[l].push_back(q.top().second);
            position[l].push_back(i); // Means switch directly after i.
        }
        else
            dp[l] += additional_cost[i];

        q.emplace(dp[l], l);
    }

    while (q.top().first != dp[q.top().second])
        q.pop();
    vector<unsigned> code, switches, switch_positions;
    unsigned x = q.top().second, p = seq.size();
    while (1)
    {
        size_t i = lower_bound(position[x].begin(), position[x].end(), p) - position[x].begin();
        if (!i)
            break;
        unsigned y = prev_letter[x][i - 1];
        p = position[x][i - 1];
        switches.push_back(x);
        switch_positions.push_back(p);
        x = y;
    }

    reverse(switches.begin(), switches.end());
    reverse(switch_positions.begin(), switch_positions.end());
    e = 0;
    size_t j = 0;

    for (size_t i = 0; i < seq.size(); i++)
    {
        if (j < switches.size() && switch_positions[j] < i)
        {
            code.push_back(e);
            code.push_back(switches[j]);
            code.push_back(0);
            e = switches[j];
            j++;
        }

        if (seq[i].first != e)
        {
            while (seq[i].second > 3)
            {
                code.push_back(e);
                code.push_back(seq[i].first);
                code.push_back(min(seq[i].second - 3, n - 1));
                seq[i].second -= min(seq[i].second, n + 2);
            }
            if (seq[i].second)
            {
                for (size_t k = 0; k < seq[i].second; k++)
                    code.push_back(seq[i].first);
            }
        }
        else
        {
            while (seq[i].second)
            {
                code.push_back(e);
                code.push_back(e);
                code.push_back(min(seq[i].second - 1, n - 1));
                seq[i].second -= min(seq[i].second, n);
            }
        }
    }

    cout << code.size() << '\n';
    for (unsigned const &x : code)
        cout << x << ' ';
    cout << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Incorrect 0 ms 212 KB code is not the shortest
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 16 ms 1456 KB Output is correct
7 Correct 101 ms 7664 KB Output is correct
8 Incorrect 135 ms 9984 KB code is not the shortest
9 Correct 240 ms 35120 KB Output is correct
10 Correct 105 ms 7232 KB Output is correct
11 Correct 80 ms 7220 KB Output is correct
12 Correct 187 ms 26760 KB Output is correct
13 Correct 218 ms 17252 KB Output is correct
14 Incorrect 90 ms 12880 KB code is not the shortest
15 Incorrect 44 ms 8360 KB code is not the shortest
16 Incorrect 246 ms 16908 KB code is not the shortest
17 Incorrect 274 ms 25416 KB code is not the shortest
18 Correct 302 ms 35488 KB Output is correct
19 Correct 661 ms 91840 KB Output is correct
20 Correct 1028 ms 134972 KB Output is correct