#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(abs(a),abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(vector &v){ sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/fenwick_tree.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/fenwick_tree.hpp" namespace noya2{ template struct fenwick_tree { public: fenwick_tree() : _n(0) {} explicit 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] += 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; vector data; T sum(int r) { T s = 0; while (r > 0) { s += data[r - 1]; r -= r & -r; } return s; } }; } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" #include #line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" namespace noya2 { template struct csr { csr (int n_ = 0, int m_ = -1) : n(n_), m(m_) { if (m >= 0){ es.reserve(m); start.reserve(m); } if (m == 0){ build(); } } int add(int idx, E elem){ int eid = start.size(); es.emplace_back(elem); start.emplace_back(idx); if (eid+1 == m) build(); return eid; } void build(){ if (m == -2) return ; m = start.size(); std::vector nes(m); std::vector nstart(n+2,0); for (int i = 0; i < m; i++) nstart[start[i]+2]++; for (int i = 1; i < n; i++) nstart[i+2] += nstart[i+1]; for (int i = 0; i < m; i++) nes[nstart[start[i]+1]++] = es[i]; swap(es,nes); swap(start,nstart); m = -2; } const auto operator[](int idx) const { assert(m == -2); return std::ranges::subrange(es.begin()+start[idx],es.begin()+start[idx+1]); } private: int n, m; std::vector es; std::vector start; }; } // namespace noya2 #line 5 "c.cpp" void solve(){ ll n, k; in(n,k); ll w = [&]{ ll l, u; in(l,u); return u - l; }(); vector a(n); in(a); sort(all(a)); fenwick_tree fenl(n), fenr(n), fens(n); csr mods(k,n); ll wm = w % k; rep(i,n){ mods.add(a[i]%k,i); fens.add(i,a[i]/k); if (a[i]%k > wm){ fenr.add(i,1); } } ll ans = linf; rep(m,k){ auto eval = [&](ll x){ ll L = x*k + m; ll R = L + w; int il = lower_bound(all(a),L) - a.begin(); ll lsum = fenl.sum(0,il) + (L/k) * il - fens.sum(0,il); int ir = upper_bound(all(a),R) - a.begin(); ll rsum = fenr.sum(ir,n) + fens.sum(ir,n) - (R/k) * (n-ir); ll sum = lsum + rsum; return sum; }; ll le = -linf/k/100, ri = linf/k/100; while (ri - le > 2){ ll m1 = (le + le + ri) / 3; ll m2 = (le + ri + ri) / 3; ll v1 = eval(m1); ll v2 = eval(m2); if (v1 < v2){ ri = m2; } else { le = m1; } } for (ll x = le; x <= ri; x++){ chmin(ans,eval(x)); } for (int i : mods[m]){ fenl.add(i,1); } ll mp = (m+wm)%k; if (mp + 1 == k){ repp(q,1,k){ for (int i : mods[q]){ fenr.add(i, 1); } } } else { for (int i : mods[mp+1]){ fenr.add(i, -1); } } } out(ans); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }