Submission #509964

# Submission time Handle Problem Language Result Execution time Memory
509964 2022-01-14T12:47:40 Z blue Robots (APIO13_robots) C++17
60 / 100
385 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*3];
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();

            for(int v: act_edge[u])
            {
                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];

    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;

            // 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[ind].push_back(dest[5*ind+q]);
            }

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

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

















    vi dp[n][n];
    for(int i = 0; i < n; i++)
    {
        occ[0].push_back(loc[i]);
        dp[i][i] = vi((h+2)*(w+2), INF);
        dp[i][i][loc[i]] = 0;
        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';
        // }
    }

    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((h+2)*(w+2), INF);

            for(int k = i; k < j; k++)
            {
                for(int x = 0; x < (h+2)*(w+2); x++)
                {
                    dp[i][j][x] = min(dp[i][j][x], dp[i][k][x] + dp[k+1][j][x]);
                }
            }

            vi elim;

            for(int u = 0; u < (h+2)*(w+2); 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 < (h+2)*(w+2); 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 17908 KB Output is correct
2 Correct 8 ms 17868 KB Output is correct
3 Correct 8 ms 17868 KB Output is correct
4 Correct 8 ms 17868 KB Output is correct
5 Correct 9 ms 17988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17908 KB Output is correct
2 Correct 8 ms 17868 KB Output is correct
3 Correct 8 ms 17868 KB Output is correct
4 Correct 8 ms 17868 KB Output is correct
5 Correct 9 ms 17988 KB Output is correct
6 Correct 9 ms 17932 KB Output is correct
7 Correct 9 ms 17868 KB Output is correct
8 Correct 9 ms 17808 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 9 ms 17868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17908 KB Output is correct
2 Correct 8 ms 17868 KB Output is correct
3 Correct 8 ms 17868 KB Output is correct
4 Correct 8 ms 17868 KB Output is correct
5 Correct 9 ms 17988 KB Output is correct
6 Correct 9 ms 17932 KB Output is correct
7 Correct 9 ms 17868 KB Output is correct
8 Correct 9 ms 17808 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 9 ms 17868 KB Output is correct
11 Correct 163 ms 74940 KB Output is correct
12 Correct 71 ms 58364 KB Output is correct
13 Correct 97 ms 69268 KB Output is correct
14 Correct 202 ms 74288 KB Output is correct
15 Correct 135 ms 74140 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 17908 KB Output is correct
2 Correct 8 ms 17868 KB Output is correct
3 Correct 8 ms 17868 KB Output is correct
4 Correct 8 ms 17868 KB Output is correct
5 Correct 9 ms 17988 KB Output is correct
6 Correct 9 ms 17932 KB Output is correct
7 Correct 9 ms 17868 KB Output is correct
8 Correct 9 ms 17808 KB Output is correct
9 Correct 10 ms 17868 KB Output is correct
10 Correct 9 ms 17868 KB Output is correct
11 Correct 163 ms 74940 KB Output is correct
12 Correct 71 ms 58364 KB Output is correct
13 Correct 97 ms 69268 KB Output is correct
14 Correct 202 ms 74288 KB Output is correct
15 Correct 135 ms 74140 KB Output is correct
16 Runtime error 385 ms 163844 KB Execution killed with signal 9
17 Halted 0 ms 0 KB -