Submission #447116

# Submission time Handle Problem Language Result Execution time Memory
447116 2021-07-24T15:07:45 Z thebitninja T-Covering (eJOI19_covering) C++14
100 / 100
351 ms 14668 KB
#include <bits/stdc++.h>
using namespace std;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<bool> vb;
typedef vector<vb> vvb;

pair<int,int> pom[4] = {{0,1}, {0,-1}, {1, 0}, {-1, 0}};
pair<int,int> pom2[8] = {{1,1}, {1,-1}, {-1, 1}, {-1, -1}, {0,2}, {0,-2}, {2, 0}, {-2, 0}};
pair<int,int> pom3[4] = {{0,2}, {0,-2}, {2, 0}, {-2, 0}};

bool edge(int r, int c, int n, int m){
    return (r==0 || r==n-1 || c==0 || c==m-1);
}

int getSum(int i, int n, int m, vvi& grid, vi& row, vi& col, vvb& taken){
    int res = grid[row[i]][col[i]];
    for(int p=0; p<4; p++){
        int r = row[i] + pom[p].first, 
            c = col[i] + pom[p].second; 
        if(r<0 || r>=n || c<0 || c>=m) continue;
        if(!taken[r][c])
            res += grid[r][c];
        taken[r][c] = true;
    }
    return res;
}

int getSumCount(int i, int n, int m, vvi& grid, vi& row, vi& col, vvb& taken, int& cnt, int& mr, int& mc){
    int res = grid[row[i]][col[i]];
    for(int p=0; p<4; p++){
        int r = row[i] + pom[p].first, 
            c = col[i] + pom[p].second; 
        if(r<0 || r>=n || c<0 || c>=m) continue;
        if(!taken[r][c]){
            res += grid[r][c];
            taken[r][c] = true;
            cnt++;
            if(mr == -1 || grid[r][c] < grid[mr][mc]){
                mr = r; mc = c;
            }
        }
    }
    return res;
}


int solve(int n, int m, vvi& grid, int k, vi& row, vi& col, vvi& cellidx){
    int res = 0;
    vb solved(k, false);
    vvb taken(n, vb(m, false));

    for(int i=0; i<k; i++)
        taken[row[i]][col[i]] = true;
    
    for(int i=0; i<k; i++){
        if(!solved[i]){
            bool foundPair = false;
            for(int r=-1; r<=1; r++){
                for(int c=-1; c<=1; c++){
                    if(row[i]+r<0 || row[i]+r>=n || col[i]+c<0 || col[i]+c>=m)
                        continue;
                    if(r == 0 && c == 0) 
                        continue;
                    int ci = cellidx[row[i]+r][col[i]+c];
                    if(ci == -1)
                        continue;
                    if(solved[ci] || foundPair)
                        return -1;
                    if(edge(row[i], col[i], n, m) || edge(row[ci], col[ci], n, m))
                        return -1;
                    solved[i] = solved[ci] = true;
                    res += getSum(i, n, m, grid, row, col, taken);
                    res += getSum(ci, n, m, grid, row, col, taken);
                    foundPair = true;
                }
            }
        } 
    }

    stack<int> st;
    for(int i=0; i<k; i++){
        if(!solved[i]){
            int t = 0;
            for(int p=0; p<4; p++){
                int r = row[i] + pom[p].first, 
                    c = col[i] + pom[p].second; 
                if(r<0 || r>=n || c<0 || c>=m || taken[r][c]) t++;
            }
            if(t > 1) return -1;
            if(t == 1) st.push(i);
        }
    }

    while(!st.empty()){
        int i = st.top();
        st.pop();
        if(solved[i]) continue;
        solved[i] = true;
        res += grid[row[i]][col[i]];
        int t = 0;
        for(int p=0; p<4; p++){
            int r = row[i] + pom[p].first, 
                c = col[i] + pom[p].second; 
            if(r<0 || r>=n || c<0 || c>=m) {
                t++;
                continue;
            }
            if(taken[r][c]) t++;
            else {
                taken[r][c] = true;
                res += grid[r][c];
            }
        }
        if(t > 1) return -1;
        for(int p=0; p<8; p++){
            int r = row[i] + pom2[p].first, 
                c = col[i] + pom2[p].second; 
            if(r<0 || r>=n || c<0 || c>=m) continue;
            int ci = cellidx[r][c];
            if(ci != -1) st.push(ci);
        }
    }

    for(int i=0; i<k; i++){
        if(!solved[i]){
            vector<int> cmp;
            queue<int> q;
            q.push(i);
            while(!q.empty()){
                int v = q.front();
                q.pop();
                if(solved[v]) continue;
                solved[v] = true;
                cmp.push_back(v);
                for(int p=0; p<4; p++){
                    int r = row[v] + pom3[p].first,
                        c = col[v] + pom3[p].second;
                    if(r<0 || r>=n || c<0 || c>=m) continue;
                    int ci = cellidx[r][c];
                    if(ci != -1) q.push(ci);
                }
            }
            int cnt = 0, mr = -1, mc = -1;
            for(int j : cmp)
                res += getSumCount(j, n, m, grid, row, col, taken, cnt, mr, mc);
            if(cnt > 3*cmp.size()){
                res -= grid[mr][mc];
                taken[mr][mc] = false;
            } else if(cnt < 3*cmp.size())
                return -1;
        }
    }

    return res;
}

int main()
{
    int n, m;
    cin >> n >> m;
    vvi grid(n, vi(m));
    for(int i=0; i<n; i++)
        for(int j=0; j<m; j++)
            cin >> grid[i][j];

    int k;
    cin >> k;
    vi row(k), col(k);
    vvi cellidx(n, vi(m, -1));
    for(int i=0; i<k; i++){
        cin >> row[i] >> col[i];
        cellidx[row[i]][col[i]] = i;
    }

    int res = solve(n, m, grid, k, row, col, cellidx);
    if(res == -1) cout << "No\n";
    else cout << res << '\n';

    return 0;
}

Compilation message

covering.cpp: In function 'int solve(int, int, vvi&, int, vi&, vi&, vvi&)':
covering.cpp:148:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  148 |             if(cnt > 3*cmp.size()){
      |                ~~~~^~~~~~~~~~~~~~
covering.cpp:151:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  151 |             } else if(cnt < 3*cmp.size())
      |                       ~~~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 9 ms 460 KB Output is correct
3 Correct 25 ms 1060 KB Output is correct
4 Correct 75 ms 2640 KB Output is correct
5 Correct 247 ms 8388 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 8 ms 548 KB Output is correct
3 Correct 25 ms 1076 KB Output is correct
4 Correct 78 ms 2748 KB Output is correct
5 Correct 245 ms 8328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 8 ms 544 KB Output is correct
3 Correct 25 ms 1068 KB Output is correct
4 Correct 75 ms 2756 KB Output is correct
5 Correct 269 ms 8320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 13 ms 828 KB Output is correct
4 Correct 9 ms 660 KB Output is correct
5 Correct 27 ms 1472 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 9 ms 460 KB Output is correct
3 Correct 25 ms 1060 KB Output is correct
4 Correct 75 ms 2640 KB Output is correct
5 Correct 247 ms 8388 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 8 ms 548 KB Output is correct
8 Correct 25 ms 1076 KB Output is correct
9 Correct 78 ms 2748 KB Output is correct
10 Correct 245 ms 8328 KB Output is correct
11 Correct 3 ms 332 KB Output is correct
12 Correct 8 ms 544 KB Output is correct
13 Correct 25 ms 1068 KB Output is correct
14 Correct 75 ms 2756 KB Output is correct
15 Correct 269 ms 8320 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 13 ms 828 KB Output is correct
19 Correct 9 ms 660 KB Output is correct
20 Correct 27 ms 1472 KB Output is correct
21 Correct 3 ms 332 KB Output is correct
22 Correct 9 ms 660 KB Output is correct
23 Correct 26 ms 1436 KB Output is correct
24 Correct 79 ms 3904 KB Output is correct
25 Correct 254 ms 12228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 9 ms 460 KB Output is correct
3 Correct 25 ms 1060 KB Output is correct
4 Correct 75 ms 2640 KB Output is correct
5 Correct 247 ms 8388 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 8 ms 548 KB Output is correct
8 Correct 25 ms 1076 KB Output is correct
9 Correct 78 ms 2748 KB Output is correct
10 Correct 245 ms 8328 KB Output is correct
11 Correct 3 ms 332 KB Output is correct
12 Correct 8 ms 544 KB Output is correct
13 Correct 25 ms 1068 KB Output is correct
14 Correct 75 ms 2756 KB Output is correct
15 Correct 269 ms 8320 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 13 ms 828 KB Output is correct
19 Correct 9 ms 660 KB Output is correct
20 Correct 27 ms 1472 KB Output is correct
21 Correct 1 ms 256 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 3 ms 332 KB Output is correct
27 Correct 9 ms 660 KB Output is correct
28 Correct 26 ms 1436 KB Output is correct
29 Correct 79 ms 3904 KB Output is correct
30 Correct 254 ms 12228 KB Output is correct
31 Correct 351 ms 14356 KB Output is correct
32 Correct 251 ms 12228 KB Output is correct
33 Correct 261 ms 14668 KB Output is correct
34 Correct 251 ms 12240 KB Output is correct
35 Correct 285 ms 13252 KB Output is correct