#include #include #include #include #include #include #include #include #include #include #include #include #include #include typedef long long ll; using namespace std; #define debug(x) cerr << #x << " = " << x << endl; #define mod 1000000007 //1e9+7(prime number) #define INF 1000000000 //1e9 #define LLINF 2000000000000000000LL //2e18 #define SIZE 300010 int n; ll a,b,w; ll d[SIZE]; ll dp[SIZE]; ll f_a(int t){ return - b * t; } ll f_b(int t){ return dp[t] + a * t + b * ((ll)t*t + t)/2; } ll f(int t,int x){ return f_a(t) * x + f_b(t); } bool check(int f1, int f2, int f3){ return (f_a(f2)-f_a(f1)) * (f_b(f3)-f_b(f2)) >= (f_b(f2)-f_b(f1)) * (f_a(f3)-f_a(f2)); } int main(){ int deq[SIZE]; scanf("%d%lld%lld%lld",&n,&a,&b,&w); for(int i=1;i<=n;i++){ scanf("%lld",d+i); } d[n+1] = 0; dp[0] = w; int s=0, t=1; deq[0] = 0; for(int i=1;i<=n+1;i++){ while(s+1 < t && f(deq[s], i) >= f(deq[s+1],i)) s++; dp[i] = a * (1-i) + b * ((ll)i*i - i)/2 + d[i] + f(deq[s],i); while(s+1 < t && check(deq[t-2], deq[t-1], i)) t--; deq[t++] = i; } printf("%lld\n",dp[n+1]); return 0; }