oj.uz

Submission #1078230

# Submission time Handle Problem Language Result Execution time Memory
1078230 2024-08-27T14:17:03 Z BF001 Nafta (COI15_nafta) C++17
100 / 100
 407 ms 152144 KB 
#include<bits/stdc++.h>
using namespace std;
 
#define N 2005
#define int long long
#define oo 1e18

int cst[N][N], par[N * N], mi[N * N], n, m, sum[N * N], vs[N * N];
char a[N][N];
int dx[4] = {0, 1, -1, 0};
int dy[4] = {1, 0, 0, -1};
vector<int> cur, lst;

int find(int u){
    if (u == par[u]) return u;
    return par[u] = find(par[u]);
}

void unin(int u, int v){
    u = find(u);
    v = find(v);
    if (u == v) return;
    par[v] = u;
    sum[u] += sum[v];
    mi[u] = min(mi[u], mi[v]);
}

bool in(int x, int y){
    return (a[x][y] >= '0' && a[x][y] <= '9' && x >= 1 && x <= n && y >= 1 && y <= m);
}
 
int getidx(int x, int y){
    return (x - 1) * m + y;
}

void cpt(int l, int r, int ol, int opr){
    if (l > r) return;
    int mid = (l + r) >> 1;
    int bst = -oo, pos = -1;
    for (int t = ol; t <= min(opr, mid); t++){
        if (bst < lst[t - 1] + cst[t][mid]){
            bst = lst[t - 1] + cst[t][mid];
            pos = t;
        }
    }
    cur[mid] = bst;
    cpt(l, mid - 1, ol, pos);
    cpt(mid + 1, r, pos, opr);
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    
    cin >> n >> m;
    for (int i = 1; i <= n; i++){
        for (int j = 1; j <= m; j++){
            cin >> a[i][j];
            if (a[i][j] >= '0' && a[i][j] <= '9'){
                par[getidx(i, j)] = getidx(i, j);
                mi[getidx(i, j)] = j;
                sum[getidx(i, j)] = a[i][j] - '0';
            }
        }
    }

    for (int i = 1; i <= n; i++){
        for (int j = 1; j <= m; j++){
            if (!in(i, j)) continue;
            for (int k = 0; k < 4; k++){
                int newi = i + dx[k];
                int newj = j + dy[k];
                if (!in(newi, newj)) continue;
                unin(getidx(i, j), getidx(newi, newj));
            }
        }
    }
 
    for (int j = 1; j <= m; j++){
        for (int i = 1; i <= n; i++){
            if (!in(i, j)) continue;
            int u = find(getidx(i, j));
            if (vs[u]) continue;
            vs[u] = 1;
            cst[mi[u]][j] += sum[u];
        }
        for (int i = 1; i <= n; i++){
            if (!in(i, j)) continue;
            int u = find(getidx(i, j));
            vs[u] = 0;
        }
        for (int i = j - 1; i >= 1; i--){
            cst[i][j] += cst[i + 1][j];
        }
    }

    cur.resize(m + 1, 0);
    lst.resize(m + 1, 0);

    for (int k = 1; k <= m; k++){
        lst = cur;
        cpt(1, m, 1, m);
        int res = 0;
        for (int i = 1; i <= m; i++) res = max(res, cur[i]);
        cout << res << "\n";
    } 

    return 0;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 0 ms 860 KB Output is correct
6 Correct 1 ms 860 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 0 ms 860 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 6 ms 5468 KB Output is correct
8 Correct 10 ms 5468 KB Output is correct
9 Correct 8 ms 5212 KB Output is correct
10 Correct 8 ms 5208 KB Output is correct
11 Correct 8 ms 5272 KB Output is correct
12 Correct 5 ms 5212 KB Output is correct

Subtask #3
66.0 / 66.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 856 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 0 ms 860 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 6 ms 5468 KB Output is correct
8 Correct 10 ms 5468 KB Output is correct
9 Correct 8 ms 5212 KB Output is correct
10 Correct 8 ms 5208 KB Output is correct
11 Correct 8 ms 5272 KB Output is correct
12 Correct 5 ms 5212 KB Output is correct
13 Correct 382 ms 152144 KB Output is correct
14 Correct 407 ms 152144 KB Output is correct
15 Correct 397 ms 151604 KB Output is correct
16 Correct 272 ms 105296 KB Output is correct
17 Correct 305 ms 104784 KB Output is correct
18 Correct 282 ms 104812 KB Output is correct