Submission #509974

# Submission time Handle Problem Language Result Execution time Memory
509974 2022-01-14T13:04:00 Z blue Robots (APIO13_robots) C++17
60 / 100
366 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[500*500*4];
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 14 ms 23756 KB Output is correct
2 Correct 13 ms 23704 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 11 ms 23756 KB Output is correct
5 Correct 12 ms 23756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 13 ms 23704 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 11 ms 23756 KB Output is correct
5 Correct 12 ms 23756 KB Output is correct
6 Correct 12 ms 23804 KB Output is correct
7 Correct 14 ms 23756 KB Output is correct
8 Correct 13 ms 23756 KB Output is correct
9 Correct 11 ms 23796 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 13 ms 23704 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 11 ms 23756 KB Output is correct
5 Correct 12 ms 23756 KB Output is correct
6 Correct 12 ms 23804 KB Output is correct
7 Correct 14 ms 23756 KB Output is correct
8 Correct 13 ms 23756 KB Output is correct
9 Correct 11 ms 23796 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct
11 Correct 157 ms 72964 KB Output is correct
12 Correct 93 ms 64508 KB Output is correct
13 Correct 107 ms 70392 KB Output is correct
14 Correct 200 ms 72248 KB Output is correct
15 Correct 127 ms 72208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 23756 KB Output is correct
2 Correct 13 ms 23704 KB Output is correct
3 Correct 12 ms 23756 KB Output is correct
4 Correct 11 ms 23756 KB Output is correct
5 Correct 12 ms 23756 KB Output is correct
6 Correct 12 ms 23804 KB Output is correct
7 Correct 14 ms 23756 KB Output is correct
8 Correct 13 ms 23756 KB Output is correct
9 Correct 11 ms 23796 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct
11 Correct 157 ms 72964 KB Output is correct
12 Correct 93 ms 64508 KB Output is correct
13 Correct 107 ms 70392 KB Output is correct
14 Correct 200 ms 72248 KB Output is correct
15 Correct 127 ms 72208 KB Output is correct
16 Runtime error 366 ms 163844 KB Execution killed with signal 9
17 Halted 0 ms 0 KB -