Submission #509975

# Submission time Handle Problem Language Result Execution time Memory
509975 2022-01-14T13:04:28 Z blue Robots (APIO13_robots) C++17
60 / 100
365 ms 163844 KB
#include <iostream>
#include <algorithm>
#include <set>
#include <queue>
#include <vector>
using namespace std;

using vi = vector<int>;
using ll = long long;
using vll = vector<ll>;
using pii = pair<int, int>;
using vvi = vector<vi>;

const int fr = 0;
const int lt = 3;
const int rt = 1;
const int bl = 2;

int n, h, w;

int mov[5];

// const int tm

vvi edge;
vvi rev_edge;

void add_edge(int u, int v)
{
    edge[u].push_back(v);
    rev_edge[v].push_back(u);
}





const int INF = 10'000'000;

vi occ[750'000];
vi* act_edge;

void bfs(vi& dst, int mxd)
{
    // cerr <<"bfs called\n";
    // bool flg = (mxd==0);
    queue<int> tbv;
    for(int d = 0; d <= mxd; d++)
    {
        // cerr << "d = " << d << ", mxd = " << mxd << '\n';
        for(int o: occ[d])
        {
            // cerr << "o = " << o << '\n';
            if(dst[o] != d) continue;
            tbv.push(o);
        }
        // cerr << "chk\n";

        while((!tbv.empty()) && dst[tbv.front()] == d)
        {
            int u = tbv.front();
            tbv.pop();

            // cerr << "Node = " << u << '\n';

            for(int v: act_edge[u])
            {
                // cerr << u << " -> " << v << '\n';
                if(dst[v] <= dst[u] + 1) continue;
                dst[v] = dst[u] + 1;
                tbv.push(v);
                mxd = max(mxd, dst[v]);
            }
        }
    }
}









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

    cin >> n >> w >> h;

    vi state((h+2)*(w+2), bl);

    int loc[n];

    vi actual_ind((h+2)*(w+2), -1);
    int ai = 0;
    // vi ai;

    for(int r = 1; r <= h; r++)
    {
        for(int c = 1; c <= w; c++)
        {
            int i = (w+2)*r+c;

            char z;
            cin >> z;

            if('1' <= z && z <= '9')
            {
                loc[z-'1'] = i;
                state[i] = fr;
            }
            else if(z == '.')
            {
                state[i] = fr;
            }
            else if(z == 'A')
            {
                state[i] = lt;
            }
            else if(z == 'C')
            {
                state[i] = rt;
            }
            else if(z == 'x')
            {
                state[i] = bl;
            }
        }
    }

    mov[0] = -(w+2); //0 = top
    mov[1] = +1; //1 = right
    mov[2] = +(w+2); //2 = down
    mov[3] = -1; //3 = left
    mov[4] = 0;

    // vi edge[5*(h+2)*(w+2)];
    // vi in_edgd
    edge = vvi(5*(h+2)*(w+2));
    rev_edge = vvi(5*(h+2)*(w+2));

    vi dest(5*(h+2)*(w+2), -1);
    queue<int> tbv;

    for(int r = 1; r <= h; r++)
    {
        for(int c = 1; c <= w; c++)
        {
            int i = (w+2)*r + c;

            if(state[i] == bl) continue;

            ai++;
            actual_ind[i] = ai-1;

            // cerr << r << ' ' << c << '\n';

            for(int dir = 0; dir <= 3; dir++)
            {
                // cerr << "   " << dir << '\n';
                add_edge(5*i + 4, 5*i + dir);
                // cerr << "A\n";
                if(state[i + mov[dir]] != bl)
                {
                    // cerr << "B\n";
                    add_edge(5*i + dir, 5*(i + mov[dir]) + (dir + state[i + mov[dir]])%4);
                    // cerr << "C\n";
                }
                else
                {
                    // cerr << "D\n";
                    add_edge(5*i + dir, 5*i + 4);
                    dest[5*i + dir] = i;
                    tbv.push(5*i + dir);
                    // cerr << "E\n";
                }
            }
        }
    }
    // cerr << "A\n";



    while(!tbv.empty())
    {
        int u = tbv.front();
        tbv.pop();
        for(int v: rev_edge[u])
        {
            if(v % 5 == 4) continue;
            if(dest[v] != -1) continue;
            dest[v] = dest[u];
            tbv.push(v);
        }
    }


    act_edge = new vi[(h+2)*(w+2)];
    for(int r = 1; r <= h; r++)
    {
        for(int c = 1; c <= w; c++)
        {
            int ind = (w+2)*r + c;

            for(int q = 0; q < 4; q++)
            {
                if(dest[5*ind + q] ==  -1 || dest[5*ind+q] == ind) continue;
                act_edge[actual_ind[ind]].push_back(actual_ind[dest[5*ind+q]]);
            }

            // cerr << "current cell = " << r << ' ' << c << " : ";
            // for(int a: act_edge[ind]) cerr << a/(w+2) << " " << a%(w+2) << " | ";
            // cerr << '\n';
        }
    }
    // cerr << "B\n";

    // for(int f = )
    edge.clear();
    rev_edge.clear();
    dest.clear();
    state.clear();

















    vi dp[n][n];
    for(int i = 0; i < n; i++)
    {
        // cerr << ai << ' ' << actual_ind[loc[i]] << '\n';
        occ[0].push_back(actual_ind[loc[i]]);
        // cerr << "p\n";
        dp[i][i] = vi(ai, INF);
        // cerr << "q\n";
        dp[i][i][actual_ind[loc[i]]] = 0;
        // cerr << "r\n";
        bfs(dp[i][i], 0);
        occ[0].pop_back();

        // cerr << "\n\n\n";
        // cerr << "robot = " << i+1 << '\n';
        // for(int l = 0; l < (h+2)*(w+2); l++)
        // {
        //     if(dp[i][i][l] >= INF) continue;
        //     // cerr << l/(w+2) << ' ' << l%(w+2) << " : " << dp[i][i][l] << '\n';
        // }
    }

    // cerr << "C\n";

    // cerr << "check\n";

    for(int d = 1; d < n; d++)
    {
        for(int i = 0; i+d < n; i++)
        {
            int j = i+d;
            // cerr << "\n\n\n computing dp " << i << ' ' << j << '\n';

            dp[i][j] = vi(ai, INF);

            for(int k = i; k < j; k++)
            {
                for(int x = 0; x < ai; x++)
                {
                    dp[i][j][x] = min(dp[i][j][x], dp[i][k][x] + dp[k+1][j][x]);
                }
            }
            // cerr << "#\n";

            vi elim;
            // cerr << i << ' ' << j << " pre bfs\n";

            for(int u = 0; u < ai; u++)
                if(dp[i][j][u] < INF) //add constraint on bfs here?
                {
                    occ[dp[i][j][u]].push_back(u);
                    elim.push_back(dp[i][j][u]);
                }

            bfs(dp[i][j], d*h*w);

            for(int e: elim) occ[e].clear();
        }
    }

    int final_ans = INF;

    for(int u = 0; u < ai; u++)
    {
        final_ans = min(final_ans, dp[0][n-1][u]);
    }

    if(final_ans >= INF) final_ans = -1;
    cout << final_ans << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17868 KB Output is correct
2 Correct 10 ms 17848 KB Output is correct
3 Correct 9 ms 17868 KB Output is correct
4 Correct 10 ms 17868 KB Output is correct
5 Correct 10 ms 17988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17868 KB Output is correct
2 Correct 10 ms 17848 KB Output is correct
3 Correct 9 ms 17868 KB Output is correct
4 Correct 10 ms 17868 KB Output is correct
5 Correct 10 ms 17988 KB Output is correct
6 Correct 9 ms 17868 KB Output is correct
7 Correct 12 ms 17872 KB Output is correct
8 Correct 11 ms 17844 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 10 ms 17868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17868 KB Output is correct
2 Correct 10 ms 17848 KB Output is correct
3 Correct 9 ms 17868 KB Output is correct
4 Correct 10 ms 17868 KB Output is correct
5 Correct 10 ms 17988 KB Output is correct
6 Correct 9 ms 17868 KB Output is correct
7 Correct 12 ms 17872 KB Output is correct
8 Correct 11 ms 17844 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 10 ms 17868 KB Output is correct
11 Correct 141 ms 67144 KB Output is correct
12 Correct 76 ms 58520 KB Output is correct
13 Correct 108 ms 64568 KB Output is correct
14 Correct 204 ms 66468 KB Output is correct
15 Correct 123 ms 66252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17868 KB Output is correct
2 Correct 10 ms 17848 KB Output is correct
3 Correct 9 ms 17868 KB Output is correct
4 Correct 10 ms 17868 KB Output is correct
5 Correct 10 ms 17988 KB Output is correct
6 Correct 9 ms 17868 KB Output is correct
7 Correct 12 ms 17872 KB Output is correct
8 Correct 11 ms 17844 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 10 ms 17868 KB Output is correct
11 Correct 141 ms 67144 KB Output is correct
12 Correct 76 ms 58520 KB Output is correct
13 Correct 108 ms 64568 KB Output is correct
14 Correct 204 ms 66468 KB Output is correct
15 Correct 123 ms 66252 KB Output is correct
16 Runtime error 365 ms 163844 KB Execution killed with signal 9
17 Halted 0 ms 0 KB -