#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif int main() { int N, K; lint L_, U_; cin >> N >> K >> L_ >> U_; const lint W = U_ - L_; vector A(N); cin >> A; // REP(i, N) A.at(i) += K; sort(ALL(A)); dbg(make_tuple(K, W, A)); auto eval = [&](lint lo) -> __int128 { const lint hi = lo + W; __int128 ret = 0; for (const lint &v : A) { if (v < lo) { ret += (lo - v + K - 1) / K; } else if (v > hi) { ret += (v - hi + K - 1) / K; } assert(ret >= 0); } return ret; }; lint lo = 0, hi = 1LL << 40; dbg(hi); __int128 ans = __int128(1) << 120; while (hi - lo > 2) { const auto c1 = (lo * 2 + hi) / 3, c2 = (lo + hi * 2) / 3; auto e1 = eval(c1); auto e2 = eval(c2); chmin(ans, e1); chmin(ans, e2); if (e1 < e2) { hi = c2; } else { lo = c1; } } for (lint i = lo; i <= hi; ++i) { chmin(ans, eval(i)); } dbg(make_tuple(lo, hi)); cout << (lint)ans - 1 << '\n'; // vector> mod2i(K); // multiset lo, hi; // lint losum = 0; // lint hisum = 0; // auto get_eval = [&]() -> lint { // if (hi.size()) { // const lint c = *hi.begin(); // return (c * (lint)lo.size() - losum) + hisum - c * (lint)hi.size(); // } else { // return 0; // } // }; // auto balance = [&]() { // while (hi.size() > lo.size() + 1) { // auto it = hi.begin(); // lo.insert(*it); // losum += *it; // hisum -= *it; // hi.erase(it); // } // while (lo.size() > hi.size() + 1) { // auto it = lo.end(); // --it; // hi.insert(*it); // hisum += *it; // losum -= *it; // lo.erase(it); // } // while (lo.size() and hi.size() and *lo.rbegin() > *hi.begin()) { // auto itlo = lo.end(); // --itlo; // auto ithi = hi.begin(); // losum += *ithi; // hisum -= *ithi; // hisum += *itlo; // losum -= *itlo; // lo.insert(*ithi); // hi.insert(*itlo); // lo.erase(itlo); // hi.erase(ithi); // } // }; // auto add = [&](lint x) { // if (lo.size() < hi.size()) { // lo.insert(x); // losum += x; // } else { // hi.insert(x); // hisum += x; // } // balance(); // }; // auto remove = [&](lint x) { // if (lo.count(x)) { // lo.erase(lo.find(x)); // losum -= x; // } else { // assert(hi.count(x)); // hi.erase(hi.find(x)); // hisum -= x; // } // balance(); // }; // lint ret = 1LL << 60; // REP(i, N) { // const lint a = A.at(i); // mod2i.at(a % K).emplace_back(a / K); // dbg(a / K); // add(a / K); // } // chmin(ret, get_eval()); // dbg(ret); // dbg(lo); // dbg(hi); // dbg(losum); // dbg(hisum); // REP(k, K) { // for (auto a : mod2i.at(k)) { // remove(a); // add(a - 1); // } // dbgif(K <= 100, make_tuple(lo, hi, losum, hisum, get_eval())); // chmin(ret, get_eval()); // } // cout << ret << '\n'; }