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답안 #1052300

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1052300 2024-08-10T13:11:16 Z rxlfd314 Nafta (COI15_nafta) C++17
34 / 100
 1000 ms 26692 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);
      if (uf[i] > uf[j])
        swap(i, j);
      dif[i] += dif[j];
      uf[i] += uf[j];
      uf[j] = i;
      cnt[i] = max(cnt[i], cnt[j]);
      lft[i] = min(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)]};
}
 
void solve(int l, int r, long double vl, long double vr) {
  if (l > r)
    return;
  long double lo = vl, hi = vr;
  int m = l + r >> 1;
  FOR(_, 1, 25) {
    long double mid = (lo + hi) / 2.0;
    if (calc(mid).second <= m)
      hi = mid;
    else
      lo = mid;
  }
  solve(l, m-1, lo, vr);
  
  cout << (ll)round(calc(lo).first + lo * m) << '\n';
  
  solve(m+1, r, vl, lo);
}

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';
    }
  
  ll tot = 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});
      tot += sum;
    }
  
  sort(all(ranges), [&](const ari3 &a, const ari3 &b) {
    return a[1] < b[1];    
  });
  
  solve(1, M, 0, 1.5e6);
}

Compilation message

nafta.cpp: In function 'void solve(int, int, long double, long double)':
nafta.cpp:86:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   86 |   int m = l + r >> 1;
      |           ~~^~~

Subtask #1
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 4700 KB Output is correct
2 Correct 4 ms 4444 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4440 KB Output is correct

Subtask #2
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 4700 KB Output is correct
2 Correct 4 ms 4444 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4440 KB Output is correct
7 Correct 858 ms 7352 KB Output is correct
8 Correct 458 ms 7388 KB Output is correct
9 Correct 111 ms 8028 KB Output is correct
10 Correct 514 ms 7260 KB Output is correct
11 Correct 169 ms 7284 KB Output is correct
12 Correct 95 ms 7232 KB Output is correct

Subtask #3
0 / 66.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 4700 KB Output is correct
2 Correct 4 ms 4444 KB Output is correct
3 Correct 2 ms 4700 KB Output is correct
4 Correct 6 ms 4444 KB Output is correct
5 Correct 3 ms 4444 KB Output is correct
6 Correct 2 ms 4440 KB Output is correct
7 Correct 858 ms 7352 KB Output is correct
8 Correct 458 ms 7388 KB Output is correct
9 Correct 111 ms 8028 KB Output is correct
10 Correct 514 ms 7260 KB Output is correct
11 Correct 169 ms 7284 KB Output is correct
12 Correct 95 ms 7232 KB Output is correct
13 Execution timed out 1066 ms 26692 KB Time limit exceeded
14 Halted 0 ms 0 KB -