oj.uz

Submission #1052235

# Submission time Handle Problem Language Result Execution time Memory
1052235 2024-08-10T12:38:23 Z rxlfd314 Nafta (COI15_nafta) C++17
34 / 100
 1000 ms 26148 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ari2 = array<int, 2>;
using ari3 = array<int, 3>;
using arl2 = array<ll, 2>;
using arl3 = array<ll, 3>;
 
#define vt vector
#define size(x) (int((x).size()))
#define all(x) begin(x), end(x)
 
#define REP(a,b,c,d) for(int a=(b);(d)>0?a<=(c):a>=(c);a+=(d))
#define FOR(a,b,c) REP(a,b,c,1)
#define ROF(a,b,c) REP(a,b,c,-1)
 
constexpr int mxN = 2005;
int N, M, grid[mxN][mxN];
 
bool seen[mxN][mxN];
constexpr int dir[5] = {1, 0, -1, 0, 1};
int L, R, sum;
void dfs(int i, int j) {
  if (i < 0 || i >= N || j < 1 || j > M || seen[i][j] || grid[i][j] < 0)
    return;
  L = min(L, j), R = max(R, j);
  sum += grid[i][j];
  seen[i][j] = true;
  FOR(k, 0, 3)
    dfs(i + dir[k], j + dir[k+1]);
}
 
struct DSU {
  long double dif[mxN];
  int uf[mxN], lft[mxN], cnt[mxN];
  void init() {
    memset(uf, -1, sizeof(uf));
    memset(cnt, 0, sizeof(cnt));
    fill(dif, dif+M+1, 0.0);
    iota(lft, lft+M+1, 0);
  }
  int find(int i) {
    return uf[i] < 0 ? i : uf[i] = find(uf[i]);
  }
  void compress(int i) {
    while (lft[i] > 0 && dif[i] >= 0) {
      int j = find(lft[i] - 1);
      dif[i] += dif[j];
      uf[j] = i;
      lft[i] = lft[j];
    }
  }
} uf;
 
vt<ari3> ranges;
 
pair<long double, int> calc(long double pen) {
  uf.init();
  int j = 0;
  FOR(i, 1, M) {
    int k = uf.find(0);
    uf.dif[i] += uf.dif[k] - pen;
    uf.dif[i+1] -= uf.dif[k] - pen;
    uf.cnt[i] = uf.cnt[k] + 1;
    uf.compress(i);
    for (; j < size(ranges) && ranges[j][1] == i; j++) {
      k = uf.find(ranges[j][0]);
      uf.dif[k] += ranges[j][2];
      uf.dif[i+1] -= ranges[j][2];
      uf.compress(k);
    }
  }
  return {uf.dif[uf.find(0)], uf.cnt[uf.find(0)]};
}
 
signed main() {
#ifndef DEBUG
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
#endif
  cin >> N >> M;
  FOR(i, 0, N-1)
    FOR(j, 1, M) {
      char c; cin >> c;
      grid[i][j] = (c == '.') ? -1 : c - '0';
    }
  
  FOR(i, 0, N-1)
    FOR(j, 1, M) {
      if (seen[i][j] || grid[i][j] < 0)
        continue;
      L = M, R = sum = 0;
      dfs(i, j);
      ranges.push_back({L, R, sum});
    }
  
  sort(all(ranges), [&](const ari3 &a, const ari3 &b) {
    return a[1] < b[1];    
  });
  
  FOR(i, 1, M) {
    long double lo = 0, hi = 2e6;
    FOR(_, 1, 29) {
      long double mid = (lo + hi) / 2.0;
      if (calc(mid).second <= i)
        hi = mid;
      else
        lo = mid;
    }
    auto [v, c] = calc(lo);
    cout << (ll)round(v + 1ll * lo * i) << '\n';
  }
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4700 KB Output is correct
2 Correct 4 ms 4568 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4700 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4692 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4700 KB Output is correct
2 Correct 4 ms 4568 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4700 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4692 KB Output is correct
7 Correct 946 ms 7452 KB Output is correct
8 Correct 530 ms 7256 KB Output is correct
9 Correct 88 ms 8024 KB Output is correct
10 Correct 621 ms 7400 KB Output is correct
11 Correct 199 ms 7296 KB Output is correct
12 Correct 96 ms 7232 KB Output is correct

Subtask #3
0 / 66.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4700 KB Output is correct
2 Correct 4 ms 4568 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4700 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4692 KB Output is correct
7 Correct 946 ms 7452 KB Output is correct
8 Correct 530 ms 7256 KB Output is correct
9 Correct 88 ms 8024 KB Output is correct
10 Correct 621 ms 7400 KB Output is correct
11 Correct 199 ms 7296 KB Output is correct
12 Correct 96 ms 7232 KB Output is correct
13 Execution timed out 1008 ms 26148 KB Time limit exceeded
14 Halted 0 ms 0 KB -