답안 #1052232

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1052232 2024-08-10T12:37:16 Z rxlfd314 Nafta (COI15_nafta) C++17
34 / 100
1000 ms 30916 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 = 1e7;
    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';
  }
}
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 4 ms 4700 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 4444 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 4 ms 4700 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 4444 KB Output is correct
7 Correct 950 ms 7452 KB Output is correct
8 Correct 530 ms 7256 KB Output is correct
9 Correct 88 ms 8028 KB Output is correct
10 Correct 629 ms 7512 KB Output is correct
11 Correct 204 ms 7260 KB Output is correct
12 Correct 98 ms 7256 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4444 KB Output is correct
2 Correct 4 ms 4700 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 4444 KB Output is correct
7 Correct 950 ms 7452 KB Output is correct
8 Correct 530 ms 7256 KB Output is correct
9 Correct 88 ms 8028 KB Output is correct
10 Correct 629 ms 7512 KB Output is correct
11 Correct 204 ms 7260 KB Output is correct
12 Correct 98 ms 7256 KB Output is correct
13 Execution timed out 1053 ms 30916 KB Time limit exceeded
14 Halted 0 ms 0 KB -