program yukicoder_2601
  use, intrinsic :: iso_fortran_env
  implicit none
  integer(int32) :: n, x
  integer(int64) :: ans
  integer(int64), allocatable :: arr(:), cumm_summ(:)
  integer(int32) :: i, j
  read(input_unit, *) n, x
  allocate(arr(n))
  read(input_unit, *) arr(:)
  allocate(cumm_summ(0 : 2 * n))
  cumm_summ(0) = 0_int64
  do i = 1, 2 * n
     cumm_summ(i) = cumm_summ(i - 1) + arr(mod(i - 1, n) + 1)
  end do
  ans = 0
  j = 0
  do i = 1, 2 * n
     j = max(j, i - 1)
     do
        if (j + 1 > 2 * n) exit
        if (j + 1 - i + 1 > n) exit
        if (cumm_summ(j + 1) - cumm_summ(i - 1) > x) exit
        j = j + 1
     end do
     ! write(error_unit, *) j, i - 1
     ans = max(ans, cumm_summ(j) - cumm_summ(i - 1))
  end do
  write(output_unit, '(i0)') ans
end program yukicoder_2601