結果
| 問題 |
No.924 紲星
|
| コンテスト | |
| ユーザー |
keijak
|
| 提出日時 | 2020-12-25 03:22:28 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 9,688 bytes |
| コンパイル時間 | 2,638 ms |
| コンパイル使用メモリ | 213,816 KB |
| 最終ジャッジ日時 | 2025-01-17 07:02:46 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 6 TLE * 10 |
ソースコード
#include <bits/stdc++.h>
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value,
__uint128_t,
unsigned __int128>;
template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value,
make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#define REP_(i, a_, b_, a, b, ...) \
for (int i = (a), _Z_##i = (b); i < _Z_##i; ++i)
#define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
#define ALL(x) std::begin(x), std::end(x)
using i64 = long long;
using u64 = unsigned long long;
template <typename T, typename U>
inline bool chmax(T &a, U b) {
return a < b and ((a = std::move(b)), true);
}
template <typename T, typename U>
inline bool chmin(T &a, U b) {
return a > b and ((a = std::move(b)), true);
}
template <typename T>
inline int ssize(const T &a) {
return (int)std::size(a);
}
template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &a) {
for (auto &x : a) is >> x;
return is;
}
template <typename Container>
std::ostream &print_seq(const Container &a, std::string_view sep = " ",
std::string_view ends = "\n",
std::ostream *os = nullptr) {
if (os == nullptr) os = &std::cout;
auto b = std::begin(a), e = std::end(a);
for (auto it = std::begin(a); it != e; ++it) {
if (it != b) *os << sep;
*os << *it;
}
return *os << ends;
}
template <typename T, typename = void>
struct is_iterable : std::false_type {};
template <typename T>
struct is_iterable<T, std::void_t<decltype(std::begin(std::declval<T>())),
decltype(std::end(std::declval<T>()))>>
: std::true_type {};
template <typename T, typename = std::enable_if_t<
is_iterable<T>::value &&
!std::is_same<T, std::string_view>::value &&
!std::is_same<T, std::string>::value>>
std::ostream &operator<<(std::ostream &os, const T &a) {
return print_seq(a, ", ", "", &(os << "{")) << "}";
}
template <typename T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &a) {
return os << "(" << a.first << ", " << a.second << ")";
}
#ifdef ENABLE_DEBUG
template <typename T>
void pdebug(const T &value) {
std::cerr << value;
}
template <typename T, typename... Ts>
void pdebug(const T &value, const Ts &...args) {
pdebug(value);
std::cerr << ", ";
pdebug(args...);
}
#define DEBUG(...) \
do { \
std::cerr << " \033[33m (L" << __LINE__ << ") "; \
std::cerr << #__VA_ARGS__ << ":\033[0m "; \
pdebug(__VA_ARGS__); \
std::cerr << std::endl; \
} while (0)
#else
#define pdebug(...)
#define DEBUG(...)
#endif
using namespace std;
const int INF = 1e9 + 100;
template <typename T>
struct Compress {
std::vector<T> vec;
explicit Compress(std::vector<T> v) : vec(v) {
std::sort(vec.begin(), vec.end());
vec.erase(std::unique(vec.begin(), vec.end()), vec.end());
}
int size() const { return vec.size(); }
int index(T x) const {
return lower_bound(vec.begin(), vec.end(), x) - vec.begin();
}
const T &value(int i) const { return vec[i]; }
};
int main() {
std::ios::sync_with_stdio(false), cin.tie(nullptr);
int n, q;
cin >> n >> q;
int bsize = 3000; // sqrt(n) + 1;
int bcount = n / bsize + 1;
vector<int> a(n);
cin >> a;
Compress<int> comp(a);
vector<atcoder::fenwick_tree<int>> bits;
vector<atcoder::fenwick_tree<i64>> bits2;
REP(bi, bcount) {
bits.emplace_back(comp.size());
bits2.emplace_back(comp.size());
REP(j, bsize) {
int p = bi * bsize + j;
if (p < n) {
int ai = comp.index(a[p]);
bits[bi].add(ai, 1);
bits2[bi].add(ai, a[p]);
}
}
}
auto check = [&](int mi, int l, int r) -> bool {
int lb = l / bsize, rb = r / bsize;
assert(lb < rb);
i64 count = 0;
for (int i = l; i < (lb + 1) * bsize; ++i) {
if (comp.index(a[i]) < mi) ++count;
}
for (int i = rb * bsize; i < r; ++i) {
if (comp.index(a[i]) < mi) ++count;
}
for (int bi = lb + 1; bi < rb; ++bi) {
count += bits[bi].sum(0, mi);
}
return count <= (r - l) / 2;
};
REP(qi, q) {
int l, r;
cin >> l >> r;
--l;
int lb = l / bsize, rb = r / bsize;
if (lb == rb) {
vector<int> xs;
xs.reserve(r - l);
for (int i = l; i < r; ++i) {
xs.push_back(a[i]);
}
int m = (r - l) / 2;
nth_element(xs.begin(), xs.begin() + m, xs.end());
int medval = xs.at(m);
i64 dsum = 0;
for (auto x : xs) {
dsum += abs(x - medval);
}
cout << dsum << "\n";
} else {
int tv = 0, fv = comp.size();
while (fv - tv > 1) {
int mid = (tv + fv) / 2;
if (check(mid, l, r)) {
tv = mid;
} else {
fv = mid;
}
}
assert(0 <= tv and tv < comp.size());
int medi = tv;
int medval = comp.value(medi);
DEBUG(medi, medval);
i64 dsum = 0;
for (int i = l; i < (lb + 1) * bsize; ++i) {
dsum += abs(a[i] - medval);
}
for (int i = rb * bsize; i < r; ++i) {
dsum += abs(a[i] - medval);
}
for (int bi = lb + 1; bi < rb; ++bi) {
i64 lower_cnt = bits[bi].sum(0, medi);
i64 lower_sum = bits2[bi].sum(0, medi);
dsum += medval * lower_cnt - lower_sum;
i64 upper_cnt = bits[bi].sum(medi, comp.size());
i64 upper_sum = bits2[bi].sum(medi, comp.size());
dsum += upper_sum - medval * upper_cnt;
}
cout << dsum << '\n';
}
}
}
keijak