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Submission #1113427

# Submission time Handle Problem Language Result Execution time Memory
1113427 2024-11-16T14:50:14 Z duckindog Line Town (CCO23_day1problem3) C++17
9 / 25
 2000 ms 21800 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

const int N = 500'000 + 10,
          MAX = 1'000'000'000'000'000;
int n;
int h[N];

namespace sub2 { 
  int pref[N];
  void solve() { 
    int answer = MAX;  
    { // the number of 1 is odd
      deque<int> odd, even;
      for (int i = 1; i <= n; ++i) { 
        auto& vt = (i ^ (h[i] == 1)) & 1 ? odd : even;
        vt.push_back(i);
      }

      vector<int> sequence;
      for (int i = 1; i < n; ++i) { 
        auto& ret = pref[i];
        ret = pref[i - 1];

        auto& vt = i & 1 ? odd : even;
        if (!vt.size()) { ret = MAX; continue; }

        sequence.push_back(vt.front());
        ret += max(0ll, i - vt.front());
        vt.pop_front();
      }

      if (pref[n - 1] < MAX) { 
        answer = min(answer, pref[n - 1]);
        
        int total = 0;      
        { // i == n
          int i = n;

          auto& ret = pref[i];
          ret = pref[i - 1];

          auto& vt = (i ^ 1) & 1 ? odd : even;
          if (!vt.size()) ret = MAX;

          sequence.push_back(vt.front());
          ret += max(0ll, i - vt.front());
          total += max(0ll, i - vt.front());
          vt.pop_front();
        }
        
        for (int i = n - 2; i >= 1; i -= 2) { 
          swap(sequence[i - 1], sequence[i]);

          total += max(0ll, i - sequence[i - 1]);
          total += max(0ll, i + 1 - sequence[i]);
          
          answer = min(answer, pref[i - 1] + total);
        }
      }
    }
    
    { // the number of 1 is even
      deque<int> odd, even;
      for (int i = 1; i <= n; ++i) { 
        auto& vt = (i ^ (h[i] == 1)) & 1 ? odd : even;
        vt.push_back(i);
      }

      vector<int> sequence;
      for (int i = 1; i <= n; ++i) { 
        auto& ret = pref[i];
        ret = pref[i - 1];

        auto& vt = i & 1 ? odd : even;
        if (!vt.size()) { ret = MAX; continue; }

        sequence.push_back(vt.front());
        ret += max(0ll, i - vt.front());
        vt.pop_front();
      }
      
      if (pref[n] < MAX) { 
        answer = min(answer, pref[n]);
        
        int total = 0;
        for (int i = n - 1; i >= 1; i -= 2) { 
          swap(sequence[i - 1], sequence[i]);

          total += max(0ll, i - sequence[i - 1]);
          total += max(0ll, i + 1 - sequence[i]);

          answer = min(answer, pref[i - 1] + total);
        }
      }
    }

    cout << (answer == MAX ? -1 : answer) << "\n";
  }
}

namespace sub3 { 
  int bit[N];
  inline void upd(int i, int x) { 
    for (; i <= n; i += i & -i) bit[i] += x;
  }
  inline int que(int i) { 
    int ret = 0;
    for (; i; i -= i & -i) ret += bit[i];
    return ret;
  }

  void solve() { 
    int cntZero = 0;
    for (int i = 1; i <= n; ++i) { 
      if (!h[i]) cntZero += 1;
    }

    int answer = MAX;
    for (int negNum = 0; negNum <= n - cntZero; ++negNum) { 
      auto cal = [&]() { 
        deque<int> odd, even;
        for (int i = 1; i <= n; ++i) { 
          if (h[i]) { 
            auto& vt = ((i ^ (h[i] == 1)) & 1) ? odd : even;
            vt.push_back(i);
          }
        }

        memset(bit, 0, sizeof bit);
        int ret = 0;
        for (int i = 1; i <= negNum; ++i) { 
          auto& vt = i & 1 ? odd : even;
          
          if (!vt.size()) return MAX;
          ret += vt.front() - 1 - que(vt.front() - 1);
          upd(vt.front(), 1);
           
          vt.pop_front();
        }
        for (int i = 1; i <= n; ++i) {
          if (h[i]) continue;
          ret += i - 1 - que(i - 1);
          upd(i, 1);
        }
        for (int i = negNum + cntZero + 1; i <= n; ++i) { 
          auto& vt = (i ^ 1) & 1 ? odd : even;
          
          if (!vt.size()) return MAX;
          ret += vt.front() - 1 - que(vt.front() - 1);
          upd(vt.front(), 1);
          
          vt.pop_front();
        }
        
        return ret;
      };

      answer = min(answer, cal());
    }

    cout << (answer == MAX ? -1 : answer) << "\n";
  }
}

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n;
  for (int i = 1; i <= n; ++i) cin >> h[i];

  if (all_of(h + 1, h + n + 1, [](const auto& a) { return abs(a) == 1; })) {
    sub2::solve();
    return 0;
  }

  if (all_of(h + 1, h + n + 1, [](const auto& a) { return abs(a) <= 1; })) {
    sub3::solve();
    return 0;
  }
  
  assert(false);
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 45 ms 21800 KB Output is correct
16 Correct 50 ms 21428 KB Output is correct
17 Correct 42 ms 21432 KB Output is correct
18 Correct 46 ms 21620 KB Output is correct
19 Correct 52 ms 21624 KB Output is correct
20 Correct 48 ms 21632 KB Output is correct
21 Correct 44 ms 21624 KB Output is correct
22 Correct 44 ms 21624 KB Output is correct
23 Correct 44 ms 21484 KB Output is correct
24 Correct 45 ms 21624 KB Output is correct

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct
14 Correct 4 ms 4176 KB Output is correct
15 Correct 4 ms 4176 KB Output is correct
16 Correct 4 ms 4176 KB Output is correct
17 Correct 110 ms 4408 KB Output is correct
18 Correct 94 ms 4176 KB Output is correct
19 Correct 107 ms 6736 KB Output is correct
20 Correct 94 ms 6620 KB Output is correct
21 Correct 140 ms 6736 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 86 ms 6796 KB Output is correct
24 Correct 103 ms 6736 KB Output is correct
25 Correct 95 ms 6736 KB Output is correct
26 Correct 100 ms 6736 KB Output is correct
27 Correct 136 ms 6736 KB Output is correct
28 Correct 134 ms 4432 KB Output is correct
29 Correct 113 ms 6804 KB Output is correct
30 Correct 2 ms 6736 KB Output is correct
31 Correct 2 ms 6788 KB Output is correct
32 Correct 2 ms 6736 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 45 ms 21800 KB Output is correct
16 Correct 50 ms 21428 KB Output is correct
17 Correct 42 ms 21432 KB Output is correct
18 Correct 46 ms 21620 KB Output is correct
19 Correct 52 ms 21624 KB Output is correct
20 Correct 48 ms 21632 KB Output is correct
21 Correct 44 ms 21624 KB Output is correct
22 Correct 44 ms 21624 KB Output is correct
23 Correct 44 ms 21484 KB Output is correct
24 Correct 45 ms 21624 KB Output is correct
25 Correct 4 ms 4176 KB Output is correct
26 Correct 4 ms 4176 KB Output is correct
27 Correct 4 ms 4176 KB Output is correct
28 Correct 110 ms 4408 KB Output is correct
29 Correct 94 ms 4176 KB Output is correct
30 Correct 107 ms 6736 KB Output is correct
31 Correct 94 ms 6620 KB Output is correct
32 Correct 140 ms 6736 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 86 ms 6796 KB Output is correct
35 Correct 103 ms 6736 KB Output is correct
36 Correct 95 ms 6736 KB Output is correct
37 Correct 100 ms 6736 KB Output is correct
38 Correct 136 ms 6736 KB Output is correct
39 Correct 134 ms 4432 KB Output is correct
40 Correct 113 ms 6804 KB Output is correct
41 Correct 2 ms 6736 KB Output is correct
42 Correct 2 ms 6788 KB Output is correct
43 Correct 2 ms 6736 KB Output is correct
44 Execution timed out 2053 ms 13328 KB Time limit exceeded
45 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 4688 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #6
0 / 3.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 4688 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #7
0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct
14 Correct 4 ms 4176 KB Output is correct
15 Correct 4 ms 4176 KB Output is correct
16 Correct 4 ms 4176 KB Output is correct
17 Correct 110 ms 4408 KB Output is correct
18 Correct 94 ms 4176 KB Output is correct
19 Correct 107 ms 6736 KB Output is correct
20 Correct 94 ms 6620 KB Output is correct
21 Correct 140 ms 6736 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 86 ms 6796 KB Output is correct
24 Correct 103 ms 6736 KB Output is correct
25 Correct 95 ms 6736 KB Output is correct
26 Correct 100 ms 6736 KB Output is correct
27 Correct 136 ms 6736 KB Output is correct
28 Correct 134 ms 4432 KB Output is correct
29 Correct 113 ms 6804 KB Output is correct
30 Correct 2 ms 6736 KB Output is correct
31 Correct 2 ms 6788 KB Output is correct
32 Correct 2 ms 6736 KB Output is correct
33 Runtime error 6 ms 4688 KB Execution killed with signal 6
34 Halted 0 ms 0 KB -

Subtask #8
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2556 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 2 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 2 ms 2384 KB Output is correct
8 Correct 2 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2552 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 45 ms 21800 KB Output is correct
16 Correct 50 ms 21428 KB Output is correct
17 Correct 42 ms 21432 KB Output is correct
18 Correct 46 ms 21620 KB Output is correct
19 Correct 52 ms 21624 KB Output is correct
20 Correct 48 ms 21632 KB Output is correct
21 Correct 44 ms 21624 KB Output is correct
22 Correct 44 ms 21624 KB Output is correct
23 Correct 44 ms 21484 KB Output is correct
24 Correct 45 ms 21624 KB Output is correct
25 Correct 4 ms 4176 KB Output is correct
26 Correct 4 ms 4176 KB Output is correct
27 Correct 4 ms 4176 KB Output is correct
28 Correct 110 ms 4408 KB Output is correct
29 Correct 94 ms 4176 KB Output is correct
30 Correct 107 ms 6736 KB Output is correct
31 Correct 94 ms 6620 KB Output is correct
32 Correct 140 ms 6736 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 86 ms 6796 KB Output is correct
35 Correct 103 ms 6736 KB Output is correct
36 Correct 95 ms 6736 KB Output is correct
37 Correct 100 ms 6736 KB Output is correct
38 Correct 136 ms 6736 KB Output is correct
39 Correct 134 ms 4432 KB Output is correct
40 Correct 113 ms 6804 KB Output is correct
41 Correct 2 ms 6736 KB Output is correct
42 Correct 2 ms 6788 KB Output is correct
43 Correct 2 ms 6736 KB Output is correct
44 Execution timed out 2053 ms 13328 KB Time limit exceeded
45 Halted 0 ms 0 KB -