#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template class SlidingMaximum{ public: deque dq; vector a; SlidingMaximum(int sz){ a.resize(sz); } void push_right(int r, T x){ a[r] = x; while(!dq.empty() && a[dq.back()] <= x) dq.pop_back(); dq.push_back(r); } void pop_left(int l){ while(!dq.empty() && dq.front() <= l) dq.pop_front(); } T query(){ return a[dq.front()]; } }; const ll INF = 1e18; ll dp[3001][3001]; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, k, m; cin >> n >> k >> m; vector a(n+1), a_cumsum(n+2); for(int i = 1; i <= n; i++) { cin >> a[i]; a_cumsum[i+1] = a_cumsum[i]+a[i]; } for(int i = 0; i <= n; i++){ for(int j = 0; j <= k; j++){ dp[i][j] = -INF; } } dp[0][0] = 0; vector> sm_pos(k+1, SlidingMaximum(n+1)); vector> sm_neg(k+1, SlidingMaximum(n+1)); auto sect_sum = [&](int l, int r){ return a_cumsum[r]-a_cumsum[l]; }; for(int i = 1; i <= n; i++){ for(int j = 1; j <= k; j++){ // [max(0, i-m), i) int l = max(0, i-m), r = i-1; // cout << dp[r][j-1] << endl; sm_pos[j-1].push_right(r, dp[r][j-1]+sect_sum(r+1, n+1)); sm_pos[j-1].pop_left(l-1); sm_neg[j-1].push_right(r, dp[r][j-1]-sect_sum(r+1, n+1)); sm_neg[j-1].pop_left(l-1); dp[i][j] = max( sm_pos[j-1].query()-sect_sum(i+1, n+1), sm_neg[j-1].query()+sect_sum(i+1, n+1) ); } } cout << dp[n][k] << endl; }