N,X = map(int,input().split()) A = list(map(int,input().split())) A = A+A ans = 0 cur = 0 cnt = 0 for l in range(N): for r in range(cur,min(l+N,2*N)): cnt += A[r] cur = r if cnt>X: break if cnt>X: cnt -= A[cur] cur -= 1 ans = max(ans,cnt) cur += 1 cnt -= A[l] print(ans)