#include #if __has_include() #include using namespace atcoder; using mint = modint998244353; // using mint = modint1000000007; #endif //#pragma GCC target("avx2") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") using namespace std; inline void scan(int &a) { cin >> a; } inline void scan(unsigned int &a) { cin >> a; } inline void scan(long long &a) { cin >> a; } inline void scan(unsigned long long &a) { cin >> a; } inline void scan(float &a) { cin >> a; } inline void scan(double &a) { cin >> a; } inline void scan(long double &a) { cin >> a; } inline void scan(char &a) { cin >> a; } inline void scan(string &a) { cin >> a; } inline void scan(vector &vec) { for (int i = 0; i < int(vec.size()); i++) { int a; scan(a); vec[i] = a; } } template inline void scan(vector &vec); template inline void scan(array &vec); template inline void scan(deque &deq); template inline void scan(pair &p); template inline void scan(vector &vec) { for (auto &i : vec) scan(i); } template inline void scan(array &vec) { for (auto &i : vec) scan(i); } template inline void scan(deque &deq) { for (auto &i : deq) scan(i); } template inline void scan(pair &p) { scan(p.first); scan(p.second); } template inline void scan(T &a) { cin >> a; } inline void read() { } template inline void read(T &a, U &...b) { scan(a); read(b...); } inline void write(const int &a) { cout << a; } inline void write(const unsigned int &a) { cout << a; } inline void write(const long long &a) { cout << a; } inline void write(const unsigned long long &a) { cout << a; } inline void write(const float &a) { cout << a; } inline void write(const double &a) { cout << a; } inline void write(const long double &a) { cout << a; } inline void write(const char &a) { cout << a; } inline void write(const string &a) { cout << a; } template inline void write(const vector &vec); template inline void write(const array &vec); template inline void write(const deque &deq); template inline void write(const pair &p); template inline void write(const vector &vec) { for (int i = 0; i < int(vec.size()); i++) { if (i) write(' '); write(vec[i]); } } template inline void write(const array &vec) { for (int i = 0; i < int(vec.size()); i++) { if (i) write(' '); write(vec[i]); } } template inline void write(const deque &deq) { for (int i = 0; i < int(deq.size()); i++) { if (i) write(' '); write(deq[i]); } } template inline void write(const pair &p) { write(p.first); write(' '); write(p.second); } template inline void write(const T &a) { cout << a; } inline void print() { cout << '\n'; } template inline void print(const T &a) { write(a); cout << '\n'; } template inline void print(const T &a, const U &...b) { write(a); ((cout << ' ', write(b)), ...); write('\n'); } template inline void debug_impl(const char *name, const T &value) { cerr << name << " = "; write(value); cerr << '\n'; } template inline void debug_impl(const char *names, const T &value, const U &...values) { const char *comma = strchr(names, ','); cerr.write(names, comma - names); cerr << " = "; write(value); cerr << ", "; while (*++comma == ' '); debug_impl(comma, values...); } using ll = long long; using ld = long double; using ull = unsigned long long; using pii = pair; using pll = pair; template using pq = priority_queue; template using pq_g = priority_queue, greater>; #define overload3(a, b, c, d, ...) d #define overload4(a, b, c, d, e, ...) e #define rep1(n) for (ll i = 0; i < (n); i++) #define rep2(i, n) for (ll i = 0; i < (n); i++) #define rep3(i, a, b) for (ll i = (a); i < (b); i++) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for (ll i = (n) - 1; i >= 0; i--) #define rrep2(i, n) for (ll i = (n) - 1; i >= 0; i--) #define rrep3(i, a, b) for (ll i = (b) - 1; i >= (a); i--) #define rrep4(i, a, b, c) for (ll i = (a) + ((b) - (a) - 1) / (c) * (c); i >= (a); i -= (c)) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(v) (v).begin(), (v).end() #define all2(v, n) (v).begin(), (v).begin() + (n) #define all3(v, a, b) (v).begin() + (a), (v).begin() + (b) #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define rall(v) (v).rbegin(), (v).rend() #define UNIQUE(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) #define NP next_permutation #define endl '\n' #define INT(...) int __VA_ARGS__; read(__VA_ARGS__); #define LL(...) long long __VA_ARGS__; read(__VA_ARGS__); #define ULL(...) unsigned long long __VA_ARGS__; read(__VA_ARGS__); #define STR(...) string __VA_ARGS__; read(__VA_ARGS__); #define CHAR(...) char __VA_ARGS__; read(__VA_ARGS__); #define LD(...) long double __VA_ARGS__; read(__VA_ARGS__); #define VEC(type, name, size) vector name(size); read(name); #define VV(type, name, h, w) vector> name(h, vector(w)); read(name); #ifdef LOCAL #define debug(...) debug_impl(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) ((void)0) #endif inline void Yes(bool a = true) { cout << (a ? "Yes" : "No") << endl; } inline void No(bool a = true) { cout << (a ? "No" : "Yes") << endl; } inline void YES(bool a = true) { cout << (a ? "YES" : "NO") << endl; } inline void NO(bool a = true) { cout << (a ? "NO" : "YES") << endl; } inline void Takahashi(bool a = true) { cout << (a ? "Takahashi" : "Aoki") << endl; } inline void Alice(bool a = true) { cout << (a ? "Alice" : "Bob") << endl; } inline void Possible(bool a = true) { cout << (a ? "Possible" : "Impossible") << endl; } constexpr int INF = 1001001001; constexpr ll LINF = 4004004004004004004LL; constexpr ld pi = 3.14159265358979323846; constexpr ld eps = 1e-9; constexpr int dx[8] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[8] = { 0, 1, 0, -1, 1, 1, -1, -1 }; ll modPow(ll a, ll n, ll mod = LINF) { ll ret = 1; ll x = a % mod; while (n) { if (n & 1) ret = ret * x % mod; x = x * x % mod; n >>= 1; } return ret; } int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int popcount(int x) { return __builtin_popcount(x); } ll popcount(ll x) { return __builtin_popcountll(x); } ll isqrt(ll x) { ll n = sqrtl(x); while ((n + 1) * (n + 1) <= x) n++; while (n * n > x) n--; return n; } template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T a, T b) { return floor(a + b - 1, b); } template T bmod(T a, T b) { return a - b * floor(a, b); } template pair divmod(T a, T b) { return { floor(a, b), a - b * floor(a, b) }; } template auto MIN(const vector &a) { return *min_element(all(a)); } template auto MAX(const vector &a) { return *max_element(all(a)); } template auto SUM(const vector &a) { return accumulate(all(a), T(0)); } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } void cincout() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); } template struct AdvancedMultiset { private: int n; vector> data; vector sum; T sum_all; static constexpr int BUCKET_RATIO = 50, REBUILD_RATIO = 170; vector get_all() const { vector ret; ret.reserve(n); for (auto &v : data) ret.append_range(v); return ret; } void modify() { build(get_all(), true); } pair position(T x) const { int i = 0; while (i + 1 < int(data.size()) && data[i].back() < x) i++; int j = lower_bound(data[i].begin(), data[i].end(), x) - data[i].begin(); return {i, j}; } public: AdvancedMultiset() : n(0), data(1), sum(1), sum_all(T(0)) {} void build(vector v, bool sorted = false) { n = v.size(); if (!sorted) sort(v.begin(), v.end()); int K = sqrt(n / BUCKET_RATIO) + 1; data.resize(K); sum.resize(K, T(0)); for (int i = 0; i < K; i++) { int l = n * i / K, r = n * (i + 1) / K; data[i] = vector(v.begin() + l, v.begin() + r); sum[i] = accumulate(data[i].begin(), data[i].end(), T(0)); } } void insert(T x) { if (!n) { data[0].push_back(x); n = 1, sum[0] += x, sum_all += x; return; } auto [i, j] = position(x); data[i].insert(data[i].begin() + j, x); n++, sum[i] += x, sum_all += x; if (int(data[i].size()) > int(data.size()) * REBUILD_RATIO) modify(); } void erase(T x) { if (!n) return; auto [i, j] = position(x); if (j == int(data[i].size()) || data[i][j] != x) return; data[i].erase(data[i].begin() + j); n--, sum[i] -= x, sum_all -= x; if (data[i].empty() && data.size() > 1) { data.erase(data.begin() + i); sum.erase(sum.begin() + i); } } bool contains(T x) const { if (!n) return false; auto [i, j] = position(x); return j < int(data[i].size()) && data[i][j] == x; } int count(T x) const { if (!n) return 0; auto [i, j] = position(x); return upper_bound(data[i].begin(), data[i].end(), x) - data[i].begin() - j; } // return {kth smallest, sum of elements before it} pair get_kth_smallest(int k) const { assert(0 <= k && k <= n); if (k == n) { return {numeric_limits::max(), sum_all}; } T s = 0; for (int i = 0; i < int(data.size()); i++) { if (int(data[i].size()) <= k) { k -= data[i].size(); s += sum[i]; } else { for (int j = 0; j < k; j++) s += data[i][j]; return {data[i][k], s}; } } assert(false); } // return {kth largest, sum of elements after it} pair get_kth_largest(int k) const { assert(0 <= k && k <= n); if (k == n) { return {numeric_limits::min(), sum_all}; } auto [x, s] = get_kth_smallest(n - 1 - k); return {x, sum_all - s - x}; } // return {count, sum} (l <= x < r) pair range(T l, T r) const { assert(l <= r); if (!n) return {0, 0}; int cnt = 0; T s = 0; for (int i = 0; i < int(data.size()); i++) { auto &v = data[i]; if (v.back() < l) continue; if (r <= v.front()) break; if (l <= v.front() && v.back() < r) { cnt += int(v.size()); s += sum[i]; } else { int L = lower_bound(data[i].begin(), data[i].end(), l) - data[i].begin(); int R = lower_bound(data[i].begin(), data[i].end(), r) - data[i].begin(); cnt += R - L; for (int j = L; j < R; j++) s += data[i][j]; } } return {cnt, s}; } T min() const { assert(n); return data.front().front(); } T max() const { assert(n); return data.back().back(); } size_t size() const { return size_t(n); } bool empty() const { return !n; } void dump() { for (auto &v : data) for (auto &x : v) cout << x << " "; cout << '\n'; } }; void solve() { LL(N, K, X); VEC(ll, A, N); AdvancedMultiset s; ll ans = -LINF; for (int i = 0; i < N; i++) { s.insert(A[i]); chmax(ans, s.get_kth_largest(min(ll(i + 1), K)).second - X * (i + 1)); } print(ans); } int main() { cincout(); int t = 1; // cin >> t; while (t--) solve(); return 0; }