oj.uz

Submission #1052234

# Submission time Handle Problem Language Result Execution time Memory
1052234 2024-08-10T12:38:03 Z rxlfd314 Nafta (COI15_nafta) C++17
34 / 100
 1000 ms 26308 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 = 5e6;
    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 5 ms 4440 KB Output is correct
2 Correct 4 ms 4696 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4440 KB Output is correct
2 Correct 4 ms 4696 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 956 ms 7452 KB Output is correct
8 Correct 523 ms 7380 KB Output is correct
9 Correct 88 ms 8148 KB Output is correct
10 Correct 655 ms 7400 KB Output is correct
11 Correct 211 ms 7256 KB Output is correct
12 Correct 93 ms 7000 KB Output is correct

Subtask #3
0 / 66.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4440 KB Output is correct
2 Correct 4 ms 4696 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 3 ms 4444 KB Output is correct
7 Correct 956 ms 7452 KB Output is correct
8 Correct 523 ms 7380 KB Output is correct
9 Correct 88 ms 8148 KB Output is correct
10 Correct 655 ms 7400 KB Output is correct
11 Correct 211 ms 7256 KB Output is correct
12 Correct 93 ms 7000 KB Output is correct
13 Execution timed out 1069 ms 26308 KB Time limit exceeded
14 Halted 0 ms 0 KB -