#ifndef LOCAL #define FAST_IO #endif // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i) #define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using u128 = __uint128_t; using i32 = signed int; using i64 = signed long long; using i128 = __int128_t; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64) x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64) x; return os; } [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void) 0 #endif struct SlideMax { Vec> data; i32 l, r, it; SlideMax() : data(), l(0), r(0), it(0) {} void push(i64 val) { while (!data.empty() && data.back().first <= val) { data.pop_back(); } data.emplace_back(val, r++); } void pop() { if (data[it].second == l) { ++it; } ++l; } i64 max() const { return data[it].first; } i32 size() const { return r - l; } }; int main() { i32 n, k; cin >> n >> k; Vec a(n); REP(i, n) { cin >> a[i]; } Vec sum(n + 1, 0); REP(i, n) { sum[i + 1] = sum[i] + a[i]; } Vec dp(n + 1, 0); SlideMax mx; mx.push(-sum[1]); REP(i, 1, n + 1) { dp[i] = dp[i - 1]; if (i < k) { chmax(dp[i], sum[i]); } chmax(dp[i], mx.max() + sum[i]); if (i != n) { mx.push(dp[i] - sum[i + 1]); if (mx.size() > k) { mx.pop(); } } } cout << dp[n] << '\n'; }