#ifdef NACHIA #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #include #include #include #include #include #include #include #include #include using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(i64 i=0; i<(i64)(n); i++) #define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--) const i64 INF = 1001001001001001001; const char* yn(bool x){ return x ? "Yes" : "No"; } template void chmin(A& l, const A& r){ if(r < l) l = r; } template void chmax(A& l, const A& r){ if(l < r) l = r; } template using nega_queue = std::priority_queue,std::greater>; using Modint = atcoder::static_modint<998244353>; #include #include template struct vec; template struct seq_view{ using Ref = typename std::iterator_traits::reference; using Elem = typename std::iterator_traits::value_type; Iter a, b; Iter begin() const { return a; } Iter end() const { return b; } int size() const { return (int)(b-a); } seq_view(Iter first, Iter last) : a(first), b(last) {} seq_view sort() const { std::sort(a, b); return *this; } Ref& operator[](int x){ return *(a+x); } template, class ret = vec> ret sorti(F f = F()) const { ret x(size()); for(int i=0; i> ret col() const { return ret(begin(), end()); } template, class ret = vec>> ret rle(F eq = F()) const { auto x = ret(); for(auto& a : (*this)){ if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++; } return x; } template seq_view sort(F f) const { std::sort(a, b, f); return *this; } Iter uni() const { return std::unique(a, b); } Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); } Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); } int lbi(const Elem& x) const { return lb(x) - a; } int ubi(const Elem& x) const { return ub(x) - a; } seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; } template Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); } template Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); } template Iter when_true_to_false(F f) const { if(a == b) return a; return std::lower_bound(a, b, *a, [&](const Elem& x, const Elem&){ return f(x); }); } seq_view same(Elem x) const { return { lb(x), ub(x) }; } template auto map(F f) const { vec r; for(auto& x : *this) r.emp(f(x)); return r; } Iter max() const { return std::max_element(a, b); } Iter min() const { return std::min_element(a, b); } template> Iter min(F f) const { return std::min_element(a, b, f); } seq_view rev() const { std::reverse(a, b); return *this; } }; template struct vec { using Base = typename std::vector; using Iter = typename Base::iterator; using CIter = typename Base::const_iterator; using View = seq_view; using CView = seq_view; vec(){} explicit vec(int n, const Elem& value = Elem()) : a(0 vec(I2 first, I2 last) : a(first, last) {} vec(std::initializer_list il) : a(std::move(il)) {} vec(Base b) : a(std::move(b)) {} operator Base() const { return a; } Iter begin(){ return a.begin(); } CIter begin() const { return a.begin(); } Iter end(){ return a.end(); } CIter end() const { return a.end(); } int size() const { return a.size(); } bool empty() const { return a.empty(); } Elem& back(){ return a.back(); } const Elem& back() const { return a.back(); } vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; } Iter operator()(int x){ return a.begin() + x; } CIter operator()(int x) const { return a.begin() + x; } View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; } CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; } View operator()(){ return (*this)(0,size()); } CView operator()() const { return (*this)(0,size()); } Elem& operator[](int x){ return a[x]; } const Elem& operator[](int x) const { return a[x]; } Base& operator*(){ return a; } const Base& operator*() const { return a; } vec& push(Elem args){ a.push_back(std::move(args)); return *this; } template vec& emp(Args &&... args){ a.emplace_back(std::forward(args) ...); return *this; } template vec& app(Range& x){ for(auto& v : a) emp(v); } Elem pop(){ Elem x = std::move(a.back()); a.pop_back(); return x; } bool operator==(const vec& r) const { return a == r.a; } bool operator!=(const vec& r) const { return a != r.a; } bool operator<(const vec& r) const { return a < r.a; } bool operator<=(const vec& r) const { return a <= r.a; } bool operator>(const vec& r) const { return a > r.a; } bool operator>=(const vec& r) const { return a >= r.a; } vec> pile(int n) const { return vec>(n, *this); } template vec& filter(F f){ int p = 0; for(int q=0; q IStr& operator>>(IStr& is, vec>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; } template IStr& operator>>(IStr& is, vec& v){ for(auto& x:v){ is >> x; } return is; } template OStr& operator<<(OStr& os, const vec& v){ for(int i=0; i OStr& operator<<(OStr& os, const vec>& v){ for(int i=0; i, std::less> lque; std::priority_queue, std::greater> rque; std::priority_queue, std::less> lremque; std::priority_queue, std::greater> rremque; Value m_min; Value m_max; Value m_zero; Value m_minVal; Value argMinL() const { return lque.empty() ? m_min : lque.top(); } Value argMinR() const { return rque.empty() ? m_max : rque.top(); } Value minValue() const { return m_minVal; } SlopeTrick(Value MIN, Value MAX, Value ZERO = Value(0)) : m_min(MIN), m_max(MAX), m_zero(ZERO), m_minVal(ZERO) {} void leftUp(Value pos){ if(!rque.empty() && rque.top() < pos){ m_minVal += pos - rque.top(); lque.push(rPop()); rque.push(pos); } else { lque.push(pos); } } void rightUp(Value pos){ if(!lque.empty() && pos < lque.top()){ m_minVal += lque.top() - pos; rque.push(lPop()); lque.push(pos); } else { rque.push(pos); } } void leftRemove(Value pos){ Value x = lque.top(); if(x == pos){ lPop(); return; } if(pos < x){ lremque.push(pos); return; } m_minVal -= pos - x; rque.push(lPop()); rremque.push(pos); } void rightRemove(Value pos){ Value x = rque.top(); if(x == pos){ rPop(); return; } if(x < pos){ rremque.push(pos); return; } m_minVal -= x - pos; lque.push(rPop()); lremque.push(pos); } private: Value lPop(){ Value buf = lque.top(); lque.pop(); while(!lremque.empty() && lque.top() == lremque.top()){ lque.pop(); lremque.pop(); } return buf; } Value rPop(){ Value buf = rque.top(); rque.pop(); while(!rremque.empty() && rque.top() == rremque.top()){ rque.pop(); rremque.pop(); } return buf; } }; template Int FloorDiv(Int a, Int b){ if(b < Int(0)){ a = -a; b = -b; } if(a >= Int(0) || a % b == Int(0)) return a / b; return a / b - Int(1); } template Int CeilDiv(Int a, Int b){ if(b < Int(0)){ a = -a; b = -b; } if(a < Int(0) || a % b == Int(0)) return a / b; return a / b + Int(1); } void testcase(){ i64 N, K, L, R; cin >> N >> K >> L >> R; vec A(N); cin >> A; SlopeTrick slope(-INF, INF); vec>> query; rep(i,N){ i64 ld = CeilDiv(L - A[i], K); i64 lm = ld * K - (L - A[i]); slope.rightUp(-ld); query.push({ lm+1, { 1, -ld-1 } }); query.push({ lm+1, { 3, -ld } }); } rep(i,N){ i64 ld = CeilDiv(A[i] - R, K); i64 lm = ld * K - (A[i] - R); slope.leftUp(ld); query.push({ K-lm, { 2, ld-1 } }); query.push({ K-lm, { 4, ld } }); } query().sort(); i64 ans = slope.minValue(); for(auto [t, q] : query){ auto [c, x] = q; if(c == 1) slope.rightUp(x); if(c == 2) slope.leftUp(x); if(c == 3) slope.rightRemove(x); if(c == 4) slope.leftRemove(x); chmin(ans, slope.minValue()); } cout << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); #ifdef NACHIA int T; cin >> T; for(int t=0; t