#include #include #include #include #define repeat(i,n) for (int i = 0; (i) < (n); ++(i)) #define repeat_reverse(i,n) for (int i = (n)-1; (i) >= 0; --(i)) #define whole(f,x,...) ([&](decltype((x)) y) { return (f)(begin(y), end(y), ## __VA_ARGS__); })(x) typedef long long ll; using namespace std; template void setmin(T & a, T const & b) { if (b < a) a = b; } const ll inf = ll(1e18)+9; int main() { // input int n, a, b, w; cin >> n >> a >> b >> w; vector d(n); repeat (i,n) cin >> d[i]; if (b == 0) { // output cout << w - a*(ll)n << endl; } else { // dp n += 1; d.push_back(0); int limit = 2 * sqrt((*whole(max_element, d) + a) / b) + 3; vector dp(n+1); dp[0] = w; repeat (i,n) { ll acc = inf; repeat_reverse (j,i+1) { setmin(acc, dp[j] - a *(ll) ll(i-j) + b *(ll) (i-j)*(i-j+1)/2); if (i-j > limit) break; } dp[i+1] = acc + d[i]; } // output cout << dp[n] << endl; } return 0; }