oj.uz

Submission #307507

# Submission time Handle Problem Language Result Execution time Memory
307507 2020-09-28T11:45:37 Z KoD Monochrome Points (JOI20_monochrome) C++17
100 / 100
 503 ms 5448 KB 
#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp"

template <class T, class U>
constexpr bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) { lhs = rhs; return true; }
  return false;
}

template <class T, class U>
constexpr bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) { lhs = rhs; return true; }
  return false;
}

/**
 * @title Chmin/Chmax
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

class range {
public:
  class iterator {
  private:
    int64_t M_position;

  public:
    constexpr iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { ++M_position; }
    constexpr bool operator != (iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };

  class reverse_iterator {
  private:
    int64_t M_position;
  
  public:
    constexpr reverse_iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { --M_position; }
    constexpr bool operator != (reverse_iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };
  
private:
  const iterator M_first, M_last;

public:
  constexpr range(int64_t first, int64_t last) noexcept: M_first(first), M_last(std::max(first, last)) { }
  constexpr iterator begin() const noexcept { return M_first; }
  constexpr iterator end() const noexcept { return M_last; }
  constexpr reverse_iterator rbegin() const noexcept { return reverse_iterator(*M_last - 1); } 
  constexpr reverse_iterator rend() const noexcept { return reverse_iterator(*M_first - 1); } 
};

/**
 * @title Range
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

#include <type_traits>
#include <iterator>
#line 6 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

template <class T>
class rev_impl {
public:
  using iterator = decltype(std::rbegin(std::declval<T>()));

private:
  const iterator M_begin;
  const iterator M_end;

public:
  constexpr rev_impl(T &&cont) noexcept: M_begin(std::rbegin(cont)), M_end(std::rend(cont)) { }
  constexpr iterator begin() const noexcept { return M_begin; }
  constexpr iterator end() const noexcept { return M_end; }
};

template <class T>
constexpr decltype(auto) rev(T &&cont) {
  return rev_impl<T>(std::forward<T>(cont));
}

/**
 * @title Reverser
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/container/fenwick_tree.cpp"

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/bit_operation.cpp"

#include <cstddef>
#include <cstdint>

constexpr size_t bit_ppc(const uint64_t x) { return __builtin_popcountll(x); }
constexpr size_t bit_ctzr(const uint64_t x) { return x == 0 ? 64 : __builtin_ctzll(x); }
constexpr size_t bit_ctzl(const uint64_t x) { return x == 0 ? 64 : __builtin_clzll(x); }
constexpr size_t bit_width(const uint64_t x) { return 64 - bit_ctzl(x); }
constexpr uint64_t bit_msb(const uint64_t x) { return x == 0 ? 0 : uint64_t(1) << (bit_width(x) - 1); }
constexpr uint64_t bit_lsb(const uint64_t x) { return x & (-x); }
constexpr uint64_t bit_cover(const uint64_t x) { return x == 0 ? 0 : bit_msb(2 * x - 1); }

constexpr uint64_t bit_rev(uint64_t x) {
  x = ((x >> 1) & 0x5555555555555555) | ((x & 0x5555555555555555) << 1);
  x = ((x >> 2) & 0x3333333333333333) | ((x & 0x3333333333333333) << 2);
  x = ((x >> 4) & 0x0F0F0F0F0F0F0F0F) | ((x & 0x0F0F0F0F0F0F0F0F) << 4);
  x = ((x >> 8) & 0x00FF00FF00FF00FF) | ((x & 0x00FF00FF00FF00FF) << 8);
  x = ((x >> 16) & 0x0000FFFF0000FFFF) | ((x & 0x0000FFFF0000FFFF) << 16);
  x = (x >> 32) | (x << 32);
  return x;
}

/**
 * @title Bit Operations
 */
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/container/fenwick_tree.cpp"

#line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/container/fenwick_tree.cpp"
#include <type_traits>

template <class T>
class fenwick_tree {
public:
  using value_type = T;
  using size_type = size_t;

private:
  std::vector<value_type> M_tree;

public:
  fenwick_tree() = default;
  explicit fenwick_tree(size_type size) { initialize(size); }

  void initialize(size_type size) {
    M_tree.assign(size + 1, value_type { });
  }

  void add(size_type index, const value_type& x) {
    assert(index < size());
    ++index;
    while (index <= size()) {
      M_tree[index] += x;
      index += bit_lsb(index);
    }
  }

  template <size_type Indexed = 1>
  value_type get(size_type index) const {
    assert(index < size());
    index += Indexed;
    value_type res{ };
    while (index > 0) {
      res += M_tree[index];
      index -= bit_lsb(index);
    }
    return res;
  }
  value_type fold(size_type first, size_type last) const {
    assert(first <= last);
    assert(last <= size());
    value_type res{};
    while (first < last) {
      res += M_tree[last];
      last -= bit_lsb(last);
    }
    while (last < first) {
      res -= M_tree[first];
      first -= bit_lsb(first);
    }
    return res;
  }

  template <class Func>
  size_type satisfies(const size_type left, Func &&func) const {
    assert(left <= size());
    if (func(value_type { })) return left;
    value_type val = -get<0>(left);
    size_type res = 0;
    for (size_type cur = bit_cover(size() + 1) >> 1; cur > 0; cur >>= 1) {
      if ((res + cur <= left) || (res + cur <= size() && !func(val + M_tree[res + cur]))) {
        val += M_tree[res + cur];
        res += cur;
      }
    }
    return res + 1;
  }

  void clear() {
    M_tree.clear();
    M_tree.shrink_to_fit();
  }
  size_type size() const {
    return M_tree.size() - 1;
  }
};

/**
 * @title Fenwick Tree
 */
#line 18 "main.cpp"

using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;

constexpr i32 inf32 = (i32(1) << 30) - 1;
constexpr i64 inf64 = (i64(1) << 62) - 1;

int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(nullptr);
  size_t N;
  std::cin >> N;
  std::vector<bool> color(2 * N);
  for (auto i: range(0, 2 * N)) {
    char c;
    std::cin >> c;
    color[i] = (c == 'B');
  }
  if (color[0]) {
    for (auto i: range(0, 2 * N)) {
      color[i] = !color[i];
    }
  }
  std::vector<i32> W, B;
  W.reserve(N);
  B.reserve(N);
  for (auto i: range(0, 2 * N)) {
    (color[i] ? B : W).push_back(i);
  }
  const auto solve = [&](const size_t K) {
    std::vector<i32> partner(2 * N);
    for (auto i: range(0, N)) {
      const auto j = (i + K) % N;
      partner[W[i]] = B[j];
      partner[B[j]] = W[i];
    }
    fenwick_tree<i32> fen(2 * N);
    i64 sum = 0;
    for (auto i: range(0, 2 * N)) {
      if (partner[i] > i) {
        sum += fen.fold(i + 1, partner[i]);
        fen.add(partner[i], 1);
      }
    }
    return sum;
  };
  i64 ans = 0;
  i32 l = 0, r = N - 1;
  while (r - l > 2) {
    const auto m1 = (l + r) / 2;
    const auto m2 = m1 + 1;
    const auto v1 = solve(m1);
    const auto v2 = solve(m2);
    if (v1 < v2) {
      l = m1;
    }
    else {
      r = m2;
    }
  }
  for (auto k: range(l, r + 1)) {
    chmax(ans, solve(k));
  }
  std::cout << ans << '\n';
  return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 416 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 416 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 3 ms 416 KB Output is correct
35 Correct 3 ms 384 KB Output is correct
36 Correct 3 ms 384 KB Output is correct
37 Correct 3 ms 384 KB Output is correct
38 Correct 2 ms 416 KB Output is correct
39 Correct 3 ms 384 KB Output is correct
40 Correct 2 ms 384 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 3 ms 384 KB Output is correct
43 Correct 3 ms 384 KB Output is correct
44 Correct 3 ms 384 KB Output is correct
45 Correct 2 ms 384 KB Output is correct
46 Correct 3 ms 384 KB Output is correct
47 Correct 3 ms 384 KB Output is correct
48 Correct 3 ms 384 KB Output is correct
49 Correct 2 ms 384 KB Output is correct
50 Correct 2 ms 384 KB Output is correct
51 Correct 3 ms 384 KB Output is correct
52 Correct 2 ms 384 KB Output is correct

Subtask #4
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 416 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 3 ms 416 KB Output is correct
35 Correct 3 ms 384 KB Output is correct
36 Correct 3 ms 384 KB Output is correct
37 Correct 3 ms 384 KB Output is correct
38 Correct 2 ms 416 KB Output is correct
39 Correct 3 ms 384 KB Output is correct
40 Correct 2 ms 384 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 3 ms 384 KB Output is correct
43 Correct 3 ms 384 KB Output is correct
44 Correct 3 ms 384 KB Output is correct
45 Correct 2 ms 384 KB Output is correct
46 Correct 3 ms 384 KB Output is correct
47 Correct 3 ms 384 KB Output is correct
48 Correct 3 ms 384 KB Output is correct
49 Correct 2 ms 384 KB Output is correct
50 Correct 2 ms 384 KB Output is correct
51 Correct 3 ms 384 KB Output is correct
52 Correct 2 ms 384 KB Output is correct
53 Correct 503 ms 5172 KB Output is correct
54 Correct 493 ms 5396 KB Output is correct
55 Correct 460 ms 5048 KB Output is correct
56 Correct 486 ms 5224 KB Output is correct
57 Correct 465 ms 5448 KB Output is correct
58 Correct 460 ms 5192 KB Output is correct
59 Correct 445 ms 5184 KB Output is correct
60 Correct 462 ms 4972 KB Output is correct
61 Correct 476 ms 5196 KB Output is correct
62 Correct 471 ms 5084 KB Output is correct
63 Correct 479 ms 5116 KB Output is correct
64 Correct 440 ms 5064 KB Output is correct
65 Correct 434 ms 4748 KB Output is correct
66 Correct 436 ms 4896 KB Output is correct
67 Correct 462 ms 5000 KB Output is correct
68 Correct 435 ms 4692 KB Output is correct
69 Correct 464 ms 5276 KB Output is correct
70 Correct 439 ms 4712 KB Output is correct
71 Correct 489 ms 5268 KB Output is correct
72 Correct 493 ms 5200 KB Output is correct
73 Correct 478 ms 5140 KB Output is correct