```    Program g05thfe

!     G05THF Example Program Text

!     Mark 25 Release. NAG Copyright 2014.

!     .. Use Statements ..
Use nag_library, Only: g05kff, g05thf, nag_wp, x02amf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: lseed = 1, maxlr = 5000, nin = 5,    &
nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: p
Integer                          :: genid, ifail, lr, lstate, m, mode,   &
n, subid
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: r(:)
Integer                          :: seed(lseed)
Integer, Allocatable             :: state(:), x(:)
!     .. Intrinsic Procedures ..
Intrinsic                        :: int, real, sqrt
!     .. Executable Statements ..
Write (nout,*) 'G05THF Example Program Results'
Write (nout,*)

!     Skip heading in data file

!     Read in the base generator information and seed
Read (nin,*) genid, subid, seed(1)

!     Initial call to initialiser to get size of STATE array
lstate = 0
Allocate (state(lstate))
ifail = 0
Call g05kff(genid,subid,seed,lseed,state,lstate,ifail)

!     Reallocate STATE
Deallocate (state)
Allocate (state(lstate))

!     Initialize the generator to a repeatable sequence
ifail = 0
Call g05kff(genid,subid,seed,lseed,state,lstate,ifail)

!     Read in sample size

!     Read in the distribution parameters
Read (nin,*) p, m

!     Use suggested value for LR
If (1.0E0_nag_wp-p<x02amf()) Then
!       P is too close to 1.0 to calculate LR, so
!       set to MAXLR, which means we will use MODE = 3
lr = maxlr
Else
lr = int(2.8E1_nag_wp+(2.0E1_nag_wp*sqrt(real(m,kind=nag_wp)* &
p)+3.0E1_nag_wp*p)/(1.0E0_nag_wp-p))
End If

!     If R is a reasonable size use MODE = 2
!     else do not reference R and use MODE = 3
If (lr<maxlr) Then
mode = 2
Else
mode = 3
lr = 0
End If

Allocate (x(n),r(lr))

!     Generate the variates
ifail = 0
Call g05thf(mode,n,m,p,r,lr,state,x,ifail)

!     Display the variates
Write (nout,99999) x(1:n)

99999 Format (1X,I12)
End Program g05thfe
```