oj.uz

Submission #509962

# Submission time Handle Problem Language Result Execution time Memory
509962 2022-01-14T12:47:05 Z blue Robots (APIO13_robots) C++17
60 / 100
 344 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();

            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';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23720 KB Output is correct
2 Correct 11 ms 23756 KB Output is correct
3 Correct 12 ms 23720 KB Output is correct
4 Correct 13 ms 23748 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23720 KB Output is correct
2 Correct 11 ms 23756 KB Output is correct
3 Correct 12 ms 23720 KB Output is correct
4 Correct 13 ms 23748 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 14 ms 23796 KB Output is correct
7 Correct 14 ms 23732 KB Output is correct
8 Correct 13 ms 23748 KB Output is correct
9 Correct 12 ms 23736 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23720 KB Output is correct
2 Correct 11 ms 23756 KB Output is correct
3 Correct 12 ms 23720 KB Output is correct
4 Correct 13 ms 23748 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 14 ms 23796 KB Output is correct
7 Correct 14 ms 23732 KB Output is correct
8 Correct 13 ms 23748 KB Output is correct
9 Correct 12 ms 23736 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct
11 Correct 169 ms 80832 KB Output is correct
12 Correct 76 ms 64260 KB Output is correct
13 Correct 101 ms 75076 KB Output is correct
14 Correct 229 ms 80312 KB Output is correct
15 Correct 145 ms 79996 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23720 KB Output is correct
2 Correct 11 ms 23756 KB Output is correct
3 Correct 12 ms 23720 KB Output is correct
4 Correct 13 ms 23748 KB Output is correct
5 Correct 12 ms 23776 KB Output is correct
6 Correct 14 ms 23796 KB Output is correct
7 Correct 14 ms 23732 KB Output is correct
8 Correct 13 ms 23748 KB Output is correct
9 Correct 12 ms 23736 KB Output is correct
10 Correct 12 ms 23756 KB Output is correct
11 Correct 169 ms 80832 KB Output is correct
12 Correct 76 ms 64260 KB Output is correct
13 Correct 101 ms 75076 KB Output is correct
14 Correct 229 ms 80312 KB Output is correct
15 Correct 145 ms 79996 KB Output is correct
16 Runtime error 344 ms 163844 KB Execution killed with signal 9
17 Halted 0 ms 0 KB -