#include using namespace std; #define double long double const int MAXN = int( 3e5 ); #define int long long int N, A, B, W; int D[ MAXN ]; double dp[ MAXN + 1 ]; struct Line { double s, c; // slope, constant Line( double _s, double _c ) { s = _s; c = _c; } double operator() ( double x ) { return s * x + c; } }; bool check( Line l1, Line l2, Line l3 ) { double x12 = ( l2.c - l1.c ) / ( l1.s - l2.s ); return l3( x12 ) <= l1( x12 ); } signed main() { ios::sync_with_stdio( 0 ); cin >> N >> A >> B >> W; for( int i = 0; i < N; ++i ) { cin >> D[ i ]; } if( B == 0 ) { cout << 1LL * W - 1LL * A * N << endl; exit( 0 ); } deque< Line > dq; dq.emplace_back( Line( 0.0, ( dp[ 0 ] = 1.0 * W ) + A ) ); for( int i = 1; i <= N; ++i ) { while( dq.size() >= 2 and dq[ 0 ]( i ) >= dq[ 1 ]( i ) ) { dq.pop_front(); } dp[ i ] = dq[ 0 ]( i ) + ( 1.0 * i * i - i ) * B / 2 - 1.0 * i * A + D[ i - 1 ]; Line newl( -1.0 * B * i, dp[ i ] + ( 1.0 * i * i + i ) * B / 2 + 1.0 * ( i + 1 ) * A ); while( dq.size() >= 2 and check( dq[ dq.size() - 2 ], dq[ dq.size() - 1 ], newl ) ) { dq.pop_back(); } dq.emplace_back( newl ); } double ans = 1e30; for( int i = 0; i <= N; ++i ) { ans = min( ans, dp[ i ] + 1.0 * B * ( N - i ) * ( N - i + 1 ) / 2 - 1.0 * A * ( N - i ) ); } cout << ( long long ) ans << endl; return 0; }