#include #define REP_(i, a_, b_, a, b, ...) for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using Int = long long; using Uint = unsigned long long; using Real = long double; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int) a.size(); } struct Void {}; template inline std::ostream &print_one(const T &x, char endc) { if constexpr (std::is_same::value) { return std::cout; // print nothing } else if constexpr (std::is_same::value) { return std::cout << (x ? "Yes" : "No") << endc; } else { return std::cout << x << endc; } } template inline std::ostream &print(const T &x) { return print_one(x, '\n'); } template std::ostream &print(const T &head, Ts... tail) { return print_one(head, ' '), print(tail...); } inline std::ostream &print() { return std::cout << '\n'; } template std::ostream &print_seq(const Container &seq, const char *sep = " ", const char *ends = "\n", std::ostream &os = std::cout) { const auto itl = std::begin(seq), itr = std::end(seq); for (auto it = itl; it != itr; ++it) { if (it != itl) os << sep; os << *it; } return os << ends; } struct CastInput { template operator T() const { T x; std::cin >> x; return x; } struct Sized { std::size_t n; template operator T() const { T x(n); for (auto &e: x) std::cin >> e; return x; } }; Sized operator()(std::size_t n) const { return {n}; } } in; #ifdef MY_DEBUG #include "debug_dump.hpp" #include "backward.hpp" backward::SignalHandling kSignalHandling; #else #define DUMP(...) #define cerr if(false)cerr #endif using namespace std; template, class Compare = std::greater> struct SlideMinQueue { Container vals; Compare compare; // comparison funcation. int left, right; // [left, right) std::deque index_queue; // indices where min values are stored. SlideMinQueue() : compare(), left(0), right(0) {} explicit SlideMinQueue(Container v) : vals(std::move(v)), compare(), left(0), right(0) {} // Shifts the window to the right. // Sets `left` to `l`, and `right` to `r`. void slide(int l, int r) { l = std::max(l, 0); r = std::min(r, (int) vals.size()); assert(l >= left); assert(r >= right); for (int i = right; i < r; ++i) { push_right(i); } right = r; pop_left(l); left = l; } // Returns the minimum value in [left, right). T fold() const { int i = index_queue.front(); return vals[i]; } bool empty() const { return index_queue.empty(); } private: // Enqueues the i-th value. void push_right(int i) { while (!index_queue.empty() && compare(vals[index_queue.back()], vals[i])) { index_queue.pop_back(); } index_queue.emplace_back(i); } // Dequeues indices less than i. void pop_left(int i) { while (!index_queue.empty() && index_queue.front() < i) { index_queue.pop_front(); } } }; template> using SlideMaxQueue = SlideMinQueue>; const Int kBig = 1e16; auto solve() { int n = in, K = in, M = in; vector a = in(n); vector acc(n + 1); REP(i, n) acc[i + 1] = acc[i] + a[i]; vector acc_minus(n + 1); REP(i, n + 1) acc_minus[i] = -acc[i]; auto dp = vector(n + 1, vector(K + 1, -kBig)); dp[0][0] = 0; REP(k, 1, K + 1) { vector nv1(n + 1, -kBig), nv2(n + 1, -kBig); for (int l = 0; l <= n; ++l) { Int v = dp[l][k - 1]; if (v == -kBig) continue; nv1[l] = v - acc[l]; nv2[l] = v - acc_minus[l]; } SlideMaxQueue rmq1(nv1), rmq2(nv2); REP(r, 1, n + 1) { { rmq1.slide(max(r - M, 0), r); auto v = rmq1.fold(); chmax(dp[r][k], v + acc[r]); } { rmq2.slide(max(r - M, 0), r); auto v = rmq2.fold(); chmax(dp[r][k], v + acc_minus[r]); } } } return dp[n][K]; } int main() { std::ios::sync_with_stdio(false), cin.tie(nullptr); cout << std::fixed << std::setprecision(18); const int T = 1;//in; REP(t, T) { auto ans = solve(); print(ans); } }