#include #include #include using namespace std; #define INF 100000000 #define YJ 1145141919 #define INF_INT_MAX 2147483647 #define INF_LL_MAX 9223372036854775807 #define EPS 1e-10 #define MOD 1000000007 #define Pi acos(-1) #define LL long long #define ULL unsigned long long #define LD long double #define int long long template< class T > struct ConvexHullTrickAddQueryMonotone { deque< pair< T, T > > L; int isdec; ConvexHullTrickAddQueryMonotone() : isdec(-1) {} inline T getX(const pair< T, T > &a, const T &x) { return (a.first * x + a.second); } inline bool check(const pair< T, T > &a, const pair< T, T > &b, const pair< T, T > &c) { return ((b.first - a.first) * (c.second - b.second) >= (b.second - a.second) * (c.first - b.first)); } inline bool empty() { return (L.empty()); } void add(T a, T b) { pair< T, T > line(a, b); if(!L.empty() && L.back().first == a) { line.second = min(line.second, L.back().second); L.pop_back(); } while(L.size() >= 2 && check(L[L.size() - 2], L.back(), line)) L.pop_back(); L.emplace_back(line); } T getMinimumQuery(T x) { int low = -1, high = (int) L.size() - 1; while(high - low > 1) { int mid = (low + high) >> 1; if((getX(L[mid], x) >= getX(L[mid + 1], x))) low = mid; else high = mid; } return (getX(L[high], x)); } T getMinimumQueryMonotone(T x) { while(L.size() >= 2 && getX(L[0], x) >= getX(L[1], x)) { L.pop_front(); } return (getX(L[0], x)); } }; const int MAX_N = 300005; int N, A, B, W; int D[MAX_N]; int dp[MAX_N]; signed main() { cin >> N >> A >> B >> W; for(int i = 0; i < N; i++) { cin >> D[i]; } dp[0] = 0; ConvexHullTrickAddQueryMonotone cht; cht.add(0, 0); for(int i = 1; i <= N; i++) { dp[i] = cht.getMinimumQueryMonotone(i) - A*(i-1) + (i-1)*i/2*B + D[i-1]; cht.add(-i*B, dp[i] + i*A + (i+1)*i/2*B); //cerr << dp[i] << " " << cht.get(i-1) << " " << D[i-1] << endl; } int ans = 114514191981036436; for(int i = 0; i < N+1; i++) { //cerr << i << " " << dp[i] << endl; ans = min(ans, dp[i] + (-(N-i)*A + (N-i)*(N-i+1)/2*B)); } cout << ans+W << endl; return 0; }