You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


      subroutine eomccsd_1prdm(rtdb,omega,d_f1,d_v2,
     1                         k_f1_offset,k_v2_offset,
     1                         d_t1,d_t2,d_x1,d_x2,d_y1,d_y2,
     1                         k_t1_offset,k_t2_offset,
     2                         k_x1_offset,k_x2_offset,
     3                         k_y1_offset,k_y2_offset)
      implicit none
#include "global.fh"
#include "mafdecls.fh"
#include "util.fh"
#include "rtdb.fh"
#include "errquit.fh"
#include "tce.fh"
#include "tce_main.fh"
#include "stdio.fh"
      integer rtdb
      double precision omega
      integer d_f1,d_v2
      integer k_f1_offset,k_v2_offset
      integer d_t1,d_t2,d_x1,d_x2,d_y1,d_y2
      integer k_t1_offset,k_t2_offset
      integer k_x1_offset,k_x2_offset
      integer k_y1_offset,k_y2_offset
c
      integer d_e,l_e_offset,k_e_offset,size_e
      double precision r0
      integer d_d0,l_d0_offset,k_d0_offset,size_d0
      double precision denominator
      integer d_x0,l_x0_offset,k_x0_offset,size_x0
c
      character*256 filename
      logical nodezero
      integer d_hh,l_hh_offset,k_hh_offset,size_hh
      integer d_hp,l_hp_offset,k_hp_offset,size_hp
      integer d_ph,l_ph_offset,k_ph_offset,size_ph
      integer d_pp,l_pp_offset,k_pp_offset,size_pp
      integer dim_rdm_ao,l_rdm_ao,k_rdm_ao
      integer dim_mo_h,l_mo_h,k_mo_h,l_mo_h_tmp,k_mo_h_tmp
      integer dim_mo_p,l_mo_p,k_mo_p,l_mo_p_tmp,k_mo_p_tmp
      integer dim_mu_h,l_mu_h,k_mu_h
      integer dim_mu_p,l_mu_p,k_mu_p
      integer dim_rdm_mo_hh,l_rdm_mo_hh,k_rdm_mo_hh
      integer dim_rdm_mo_hp,l_rdm_mo_hp,k_rdm_mo_hp
      integer dim_rdm_mo_ph,l_rdm_mo_ph,k_rdm_mo_ph
      integer dim_rdm_mo_pp,l_rdm_mo_pp,k_rdm_mo_pp
      integer nh,np,i,j,particle,hole
      logical ao_rdm_write
      external ao_rdm_write
      
c
c
      nodezero=(ga_nodeid().eq.0)
c
c     calculate R0
c
      call tce_filename('e',filename)
      call tce_e_offset(l_e_offset,k_e_offset,size_e)
      call createfile(filename,d_e,size_e)
      call tce_zero(d_e,size_e)
      call  nr0(d_f1,d_e,d_t1,d_v2,d_x1,d_x2,k_f1_offset,
     1          k_e_offset,k_t1_offset,k_v2_offset,
     2          k_x1_offset,k_x2_offset)
      call reconcilefile(d_e,1)
      call get_block(d_e,r0,1,0)
      if(dabs(omega).gt.1.0d-7) then
         r0 = r0/omega
      else
         call errquit('eomccsd_1prdm: r0 is infinity',0,ma_err)
      end if
      call deletefile(d_e)
      if(.not.ma_pop_stack(l_e_offset))
     1 call errquit('eomccsd_1prdm: ma problem',1,ma_err)
c
c     calculate denominator
c
      call tce_filename('d_d0',filename)
      call tce_e_offset(l_d0_offset,k_d0_offset,size_d0)
      call createfile(filename,d_d0,size_d0)
      call tce_zero(d_d0,size_d0)
      call eomccsd_denominator(d_d0,d_x1,d_x2,d_y1,d_y2,
     1                k_d0_offset,k_x1_offset,
     2                k_x2_offset,k_y1_offset,k_y2_offset)
      call reconcilefile(d_d0,size_d0)
      call get_block(d_d0,denominator,1,0)
      call deletefile(d_d0)
      if(.not.ma_pop_stack(l_d0_offset))
     1 call errquit('eomccsd_1prdm: ma problem',2,ma_err)
c
c     put r0 value to d_x0
c
      call tce_filename('d_x0',filename)
      call tce_e_offset(l_x0_offset,k_x0_offset,size_x0)
      call createfile(filename,d_x0,size_x0)
      call tce_zero(d_x0,size_x0)
      call put_block(d_x0,r0,1,0)
c
c     allocate memory for 1PRDM with AO basis
c
      dim_rdm_ao=nbf*nbf
      if(.not.ma_push_get(mt_dbl,dim_rdm_ao,'rdm_ao',
     1     l_rdm_ao,k_rdm_ao))
     2     call errquit('eomccsd_1prdm: ma problem',1,ma_err)
      do i=1,dim_rdm_ao
         dbl_mb(k_rdm_ao+i-1)=0.d0
      enddo
c
c     allocate memory for MOs
c
      nh=nocc(1)+nocc(ipol)
      np=nmo(1)+nmo(ipol)-nh
      dim_mo_h=nh*nbf
      dim_mo_p=np*nbf
      if(.not.ma_push_get(mt_dbl,dim_mo_h,'mo_h',
     1 l_mo_h,k_mo_h))
     2 call errquit('eomccsd_1prdm: ma problem',2,ma_err)
      do i=1,dim_mo_h
         dbl_mb(k_mo_h+i-1)=0.d0
      enddo
      if(.not.ma_push_get(mt_dbl,dim_mo_p,'mo_p',
     1 l_mo_p,k_mo_p))
     2 call errquit('eomccsd_1prdm: ma problem',3,ma_err)
      do i=1,dim_mo_p
         dbl_mb(k_mo_p+i-1)=0.d0
      enddo
c
c     get the MOs from GA and make them sorted (list them according column)
c
      if(.not.ma_push_get(mt_dbl,dim_mo_h,'mo_h_tmp',
     1 l_mo_h_tmp,k_mo_h_tmp))
     2 call errquit('eomccsd_1prdm: ma problem',4,ma_err)
      do i=1,dim_mo_h
         dbl_mb(k_mo_h_tmp+i-1)=0.d0
      enddo
c
c     hole alpha
c
      do hole=1,nocc(1)
         i=2*hole-1
         call ga_get(g_movecs(1),1,nbf,hole,hole,
     1        dbl_mb(k_mo_h_tmp+(i-1)*nbf),nbf)
      enddo
c
c     hole beta
c
      do hole=1,nocc(ipol)
         i=2*hole
         call ga_get(g_movecs(ipol),1,nbf,hole,hole,
     1        dbl_mb(k_mo_h_tmp+(i-1)*nbf),nbf)
      enddo
c
c     make them sorted according to column index
c
      do i=1,nh
         do j=1,nbf
            dbl_mb(k_mo_h+(j-1)*nh+(i-1))=
     1           dbl_mb(k_mo_h_tmp+(i-1)*nbf+(j-1))
         enddo
      enddo
      if(.not.ma_pop_stack(l_mo_h_tmp))
     1     call errquit('eomccsd_1prdm: ma problem',5,ma_err)
c
c     particle alpha
c
      if(.not.ma_push_get(mt_dbl,dim_mo_p,'mo_p_tmp',
     1     l_mo_p_tmp,k_mo_p_tmp))
     2     call errquit('eomccsd_1prdm: ma problem',6, ma_err)
      do i=1,dim_mo_p
         dbl_mb(k_mo_p_tmp+i-1)=0.d0
      enddo
c
      do particle=nocc(1)+1, nmo(1)
         i=2*particle-1-nh
         call ga_get(g_movecs(1),1,nbf,particle,particle,
     1        dbl_mb(k_mo_p_tmp+(i-1)*nbf),nbf)
      enddo
c
c     particle beta
c
      do particle=nocc(ipol)+1,nmo(ipol)
         i=2*particle-nh
         call ga_get(g_movecs(ipol),1,nbf,particle,particle,
     1        dbl_mb(k_mo_p_tmp+(i-1)*nbf),nbf)
      enddo
c
c     make them sorted according to column index
c
      do i=1,np
         do j=1,nbf
            dbl_mb(k_mo_p+(j-1)*np+(i-1))=
     1           dbl_mb(k_mo_p_tmp+(i-1)*nbf+(j-1))
         enddo
      enddo
      if(.not.ma_pop_stack(l_mo_p_tmp))
     1     call errquit('eomccsd_1prdm: ma problem',7,ma_err)
c
c     allocate memory for intermediates
c
      dim_mu_h = nbf*nh
      dim_mu_p = nbf*np
      if(.not.ma_push_get(mt_dbl,dim_mu_h,'mu_h',
     1     l_mu_h,k_mu_h))
     2     call errquit('eomccsd_1prdm: ma problem',8, ma_err)
      do i=1,dim_mu_h
         dbl_mb(k_mu_h+i-1)=0.d0
      enddo
      if(.not.ma_push_get(mt_dbl,dim_mu_p,'mu_p',
     1     l_mu_p,k_mu_p))
     2     call errquit('eomccsd_1prdm: ma problem',9, ma_err)
      do i=1, dim_mu_p
         dbl_mb(k_mu_p+i-1)=0.d0
      enddo
c
c-eomccsd_1prdm_hh
c
c     allocate memory for hh block
      dim_rdm_mo_hh = nh*nh
      if(.not.ma_push_get(mt_dbl,dim_rdm_mo_hh,'rdm_mo_hh',
     1     l_rdm_mo_hh,k_rdm_mo_hh))
     2     call errquit('eomccsd_1prdm: ma problem',10,ma_err)
      do i=1,dim_rdm_mo_hh
         dbl_mb(k_rdm_mo_hh+i-1)=0.d0
      enddo
c
      call tce_filename('hh',filename)
      call tce_dens_hh_offset(l_hh_offset,k_hh_offset,size_hh)
      call createfile(filename,d_hh,size_hh)
      call dratoga(d_x1)
      call dratoga(d_x2)
      call dratoga(d_y1)
      call dratoga(d_y2)
      call eomccsd_1prdm_hh(d_hh,d_t1,d_t2,d_x0,d_x1,d_x2,d_y1,d_y2,
     1   k_hh_offset,k_t1_offset,k_t2_offset,k_x0_offset,
     2   k_x1_offset,k_x2_offset,
     3   k_y1_offset,k_y2_offset)
      call reconcilefile(d_hh,size_hh)
      call gatodra(d_y2)
      call gatodra(d_y1)
      call gatodra(d_x2)
      call gatodra(d_x1)
      call get_mo_rdm_hh(d_hh,k_hh_offset,k_rdm_mo_hh,denominator)
      call deletefile(d_hh)
      if (.not.ma_pop_stack(l_hh_offset))
     1 call errquit("eomccsd_1prdm: ma problem",11,ma_err)
c
c    do the matrix multiplication
c
      call dgemm('t','n',nbf,nh,nh,1.d0,dbl_mb(k_mo_h),
     1     nh,dbl_mb(k_rdm_mo_hh),nh,
     2     0.d0,dbl_mb(k_mu_h),nbf)
      call dgemm('n','n',nbf,nbf,nh,1.0d0,dbl_mb(k_mu_h),nbf,
     1     dbl_mb(k_mo_h),nh,0.d0, dbl_mb(k_rdm_ao),nbf)
c
c     release hh block memory
c
      if(.not.ma_pop_stack(l_rdm_mo_hh))
     1     call errquit('ccsd_1prdm: ma problem',12,ma_err)
      do i=1,dim_mu_h
         dbl_mb(k_mu_h+i-1)=0.d0
      enddo
c
c     eomccsd_1prdm_hp
c
c
c     allocate memory for hp block
c
      dim_rdm_mo_hp = nh*np
      if(.not.ma_push_get(mt_dbl,dim_rdm_mo_hp,'rdm_mo_hp',
     1     l_rdm_mo_hp,k_rdm_mo_hp))
     2     call errquit('eomccsd_1prdm: ma problem',13,ma_err)
      do i=1,dim_rdm_mo_hp
         dbl_mb(k_rdm_mo_hp+i-1)=0.d0
      enddo
     
c
c-eomccsd_1prdm_hp
c
      call tce_filename('hp',filename)
      call tce_dens_hp_offset(l_hp_offset,k_hp_offset,size_hp)
      call createfile(filename,d_hp,size_hp)
      call dratoga(d_x1)
      call dratoga(d_x2)
      call dratoga(d_y1)
      call dratoga(d_y2)
      call eomccsd_1prdm_hp(d_hp,d_x0,d_x1,d_y1,d_y2,
     1      k_hp_offset,k_x0_offset,k_x1_offset,
     2      k_y1_offset,k_y2_offset)
      call reconcilefile(d_hp,size_hp)
      call gatodra(d_y2)
      call gatodra(d_y1)
      call gatodra(d_x2)
      call gatodra(d_x1)
      call get_mo_rdm_hp(d_hp,k_hp_offset,k_rdm_mo_hp,denominator)
      call deletefile(d_hp)
      if (.not.ma_pop_stack(l_hp_offset))
     1 call errquit("eomccsd_1prdm: ma problem",14,ma_err)
c
c     do the matrices multiplication
c
      call dgemm('t','n',nbf,np,nh,1.0d0,dbl_mb(k_mo_h),
     1     nh,dbl_mb(k_rdm_mo_hp),nh,
     2     0.d0,dbl_mb(k_mu_p),nbf)
      call dgemm('n','n',nbf,nbf,np,1.0d0,dbl_mb(k_mu_p),nbf,
     1     dbl_mb(k_mo_p),np,1.0d0, dbl_mb(k_rdm_ao),nbf)
c
c     release hp block memory
c
      if(.not.ma_pop_stack(l_rdm_mo_hp))
     1     call errquit('eomccsd_1prdm: ma problem',15,ma_err)
      do i=1,dim_mu_p
         dbl_mb(k_mu_p+i-1)=0.d0
      enddo
c
c     eomccsd_1prdm_ph
c
c     allocate memory for ph block
c
      dim_rdm_mo_ph=np*nh
      if(.not.ma_push_get(mt_dbl,dim_rdm_mo_ph,'rdm_mo_ph',
     1     l_rdm_mo_ph, k_rdm_mo_ph))
     2     call errquit('ccsd_1prdm: ma problem',91,ma_err)
      do i=1,dim_rdm_mo_ph
         dbl_mb(k_rdm_mo_ph+i-1)=0.d0
      enddo
      call tce_filename('ph',filename)
      call tce_dens_ph_offset(l_ph_offset,k_ph_offset,
     1  size_ph)
      call createfile(filename,d_ph,size_ph)
      call dratoga(d_x1)
      call dratoga(d_x2)
      call dratoga(d_y1)
      call dratoga(d_y2)
      call eomccsd_1prdm_ph(d_ph,d_t1,d_t2,d_x0,d_x1,d_x2,d_y1,d_y2,
     1 k_ph_offset,k_t1_offset,k_t2_offset,
     2 k_x0_offset,k_x1_offset,k_x2_offset,
     2 k_y1_offset,k_y2_offset)
      call reconcilefile(d_ph,size_ph)
      call gatodra(d_y2)
      call gatodra(d_y1)
      call gatodra(d_x2)
      call gatodra(d_x1)
      call get_mo_rdm_ph(d_ph,k_ph_offset,k_rdm_mo_ph,denominator)
      call deletefile(d_ph)
      if(.not.ma_pop_stack(l_ph_offset))
     1 call errquit("eomccsd_1prdm: ma problem",16,ma_err)
c
c
c     do the matrix multiplication
c
      call dgemm('t','n',nbf,nh,np,1.0d0,dbl_mb(k_mo_p),
     1     np,dbl_mb(k_rdm_mo_ph),np,
     2     0.d0,dbl_mb(k_mu_h),nbf)
      call dgemm('n','n',nbf,nbf,nh,1.0d0,dbl_mb(k_mu_h),nbf,
     1     dbl_mb(k_mo_h),nh,1.0d0, dbl_mb(k_rdm_ao),nbf)
c
c     release memory for ph block
c
      if(.not.ma_pop_stack(l_rdm_mo_ph))
     1     call errquit('eomccsd_1prdm: ma problem',17,ma_err)
      do i=1,dim_mu_h
         dbl_mb(k_mu_h+i-1)=0.d0
      enddo
c
c-eomccsd_1prdm_pp
c
c     allocate memory for pp block
c
      dim_rdm_mo_pp=np*np
      if(.not.ma_push_get(mt_dbl,dim_rdm_mo_pp,'rdm_mo_pp',
     1     l_rdm_mo_pp,k_rdm_mo_pp))
     2     call errquit('eomccsd_1prdm: ma problem',18,ma_err)
      do i=1,dim_rdm_mo_pp
         dbl_mb(k_rdm_mo_pp+i-1)=0.d0
      enddo
      call tce_filename('pp',filename)
      call tce_dens_pp_offset(l_pp_offset,k_pp_offset,size_pp)
      call createfile(filename,d_pp,size_pp)
      call dratoga(d_x1)
      call dratoga(d_x2)
      call dratoga(d_y1)
      call dratoga(d_y2)
      call eomccsd_1prdm_pp(d_pp,d_t1,d_t2,d_x0,d_x1,d_x2,
     1  d_y1,d_y2,k_pp_offset,k_t1_offset,k_t2_offset,
     2  k_x0_offset,k_x1_offset,k_x2_offset,
     3  k_y1_offset,k_y2_offset)
      call reconcilefile(d_pp,size_pp)
      call gatodra(d_y2)
      call gatodra(d_y1)
      call gatodra(d_x2)
      call gatodra(d_x1)
      call get_mo_rdm_pp(d_pp,k_pp_offset,k_rdm_mo_pp,denominator)
      call deletefile(d_pp)
      if (.not.ma_pop_stack(l_pp_offset))
     1 call errquit("eomccsd_1prdm: ma problem",19,ma_err)
      call dgemm('t','n',nbf,np,np,1.0d0,dbl_mb(k_mo_p),
     1     np,dbl_mb(k_rdm_mo_pp),np,
     2     0.d0,dbl_mb(k_mu_p),nbf)
      call dgemm('n','n',nbf,nbf,np,1.0d0,dbl_mb(k_mu_p),nbf,
     1     dbl_mb(k_mo_p),np,1.0d0, dbl_mb(k_rdm_ao),nbf)
c
c
      if(nodezero.and.util_print('densmat',print_high)) then
        write(luout,*) '==================================='
        write(luout,*) 'Debug information of density matrix'
        write(luout,*) '==================================='
        do i=1,nbf
           do j=1,nbf
              if(abs(dbl_mb(k_rdm_ao+(i-1)+(j-1)*nbf)).gt.1.d-8)
     1           write(luout,'(i5,i5,f20.16)') i,j,
     1            (dbl_mb(k_rdm_ao+(i-1)+(j-1)*nbf)+
     1             dbl_mb(k_rdm_ao+(j-1)+(i-1)*nbf))/2.d0
           enddo
        enddo
        write(luout,*) '==================================='
        write(luout,*) '      End of debug information     '
        write(luout,*) '==================================='
      endif
c
c     release the memory for pp block
c
      if(.not.ma_pop_stack(l_rdm_mo_pp))
     1     call errquit('eomccsd_1prdm: ma problem',20,ma_err)
c
c     release the memory for intermediates
c
      if(.not.ma_pop_stack(l_mu_p))
     1     call errquit('eomccsd_1prdm: ma problem',21,ma_err)
      if(.not.ma_pop_stack(l_mu_h))
     1     call errquit('eomccsd_1prdm: ma problem',22,ma_err)
c
c     release the memory for MOs
c
      if(.not.ma_pop_stack(l_mo_p))
     1     call errquit('eomccsd_1prdm: ma problem',23,ma_err)
      if(.not.ma_pop_stack(l_mo_h))
     1     call errquit('eomccsd_1prdm: ma problem',24,ma_err)
c
c     dump the ao rdm to a file
c
      if (.not.rtdb_cget(rtdb,'tce:file_densmat',1,filename))
     1   call errquit('eomccsd_1prdm: rtdb_cget failed - file_densmat',
     1        0,RTDB_ERR)
      if(.not.ao_rdm_write(filename,k_rdm_ao))
     1     call errquit('eomccsd_1prdm: disk problem',1,disk_err)
      if(.not.ma_pop_stack(l_rdm_ao))
     1     call errquit('eomccsd_1prdm: ma problem',03,ma_err)
c
c
c
      call deletefile(d_x0)
      if(.not.ma_pop_stack(l_x0_offset))
     1     call errquit('eomccsd_1prdm: ma problem',04,ma_err)

      end
c $Id$