<div dir="ltr"><div>Hi <span style="color:rgb(31,31,31);font-size:0.875rem;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif;white-space:nowrap">Jürg, </span></div><div><span style="color:rgb(31,31,31);font-size:0.875rem;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif;white-space:nowrap"><br></span></div><div><font color="#1f1f1f" face="Google Sans, Roboto, RobotoDraft, Helvetica, Arial, sans-serif"><span style="font-size:14px;white-space:nowrap">Okay, I use a larger one, say 80Ry. That is 0.025 for PW_CUTOFF here in CP2K. However, as I tried to run it, it stopped with unknown errors</span></font></div><div><font color="#1f1f1f" face="Google Sans, Roboto, RobotoDraft, Helvetica, Arial, sans-serif"><span style="font-size:14px;white-space:nowrap"><br></span></font></div><div><font color="#1f1f1f" face="Google Sans, Roboto, RobotoDraft, Helvetica, Arial, sans-serif"><span style="font-size:14px;white-space:nowrap">... ... </span></font></div><div><br></div>XC functionals<br>==============<br>1) XC_GGA_X_PBE: Perdew, Burke & Ernzerhof<br>J. P. Perdew, K. Burke, and M. Ernzerhof.,  Phys. Rev. Lett. 77, 3865 (1996) (10.1103/PhysRevLett.77.3865)<br>J. P. Perdew, K. Burke, and M. Ernzerhof.,  Phys. Rev. Lett. 78, 1396 (1997) (10.1103/PhysRevLett.78.1396)<br><br>2) XC_GGA_C_PBE: Perdew, Burke & Ernzerhof<br>J. P. Perdew, K. Burke, and M. Ernzerhof.,  Phys. Rev. Lett. 77, 3865 (1996) (10.1103/PhysRevLett.77.3865)<br>J. P. Perdew, K. Burke, and M. Ernzerhof.,  Phys. Rev. Lett. 78, 1396 (1997) (10.1103/PhysRevLett.78.1396)<br><br><br>memory consumption<br>==================<br>approximate number of G+k vectors     : 0<br>approximate number of G vectors      : 0<br>approximate number of coarse G vectors  : 0<br>approximate size of wave-functions for each k-point: 0 Mb, 0 Mb/rank<br>approximate memory consumption of Davidson solver: 0 Mb/rank<br>approximate memory consumption of FFT transforms: 0 Mb/rank<br><br>===================================================================================<br>=  BAD TERMINATION OF ONE OF YOUR APPLICATION PROCESSES<br>=  RANK 0 PID 334186 RUNNING AT ubuntua<br>=  KILLED BY SIGNAL: 9 (Killed)<br>===================================================================================<br><br><div><br></div><div>&GLOBAL<br> PROJECT FCC_Copper<br> RUN_TYPE CELL_OPT<br> PRINT_LEVEL LOW<br>&END GLOBAL<br><br>&FORCE_EVAL<br> METHOD SIRIUS<br> STRESS_TENSOR ANALYTICAL<br> &SUBSYS<br>  &CELL<br>   A 3.61 0.00 0.00<br>   B 0.00 3.61 0.00<br>   C 0.00 0.00 3.61<br>   SYMMETRY CUBIC<br>   PERIODIC XYZ<br>  &END CELL<br>  &COORD<br>   Cu  0.000 0.000 0.000<br>   Cu  0.000 1.805 1.805<br>   Cu  1.805 0.000 1.805<br>   Cu  1.805 1.805 0.000<br>  &END COORD<br>  &KIND Cu<br>    POTENTIAL GTH-PBE-q11<br>  &END KIND<br> &END SUBSYS<br> &PW_DFT<br>  &CONTROL<br>    VERBOSITY 2<br>  &END CONTROL<br>  &PARAMETERS<br>    ELECTRONIC_STRUCTURE_METHOD  pseudopotential<br>    GK_CUTOFF 0.012<br>    PW_CUTOFF 0.025<br>    NUM_DFT_ITER 399<br>    NGRIDK 10 10 10<br>  &END PARAMETERS<br>  &ITERATIVE_SOLVER<br>    ENERGY_TOLERANCE 1e-5<br>    NUM_STEPS 20<br>    SUBSPACE_SIZE 4<br>  &END ITERATIVE_SOLVER<br>  &MIXER<br>    BETA 0.3<br>    TYPE BROYDEN2<br>  &END MIXER<br> &END PW_DFT<br> &DFT<br>  &XC<br>   &XC_FUNCTIONAL<br>    &GGA_X_PBE<br>    &END GGA_X_PBE<br>    &GGA_C_PBE<br>    &END GGA_C_PBE<br>   &END XC_FUNCTIONAL<br>  &END XC<br> &END DFT<br>&END FORCE_EVAL<br><br>&MOTION<br> &CELL_OPT<br>  MAX_ITER 200<br>  OPTIMIZER BFGS<br>  KEEP_SYMMETRY .TRUE.<br> &END CELL_OPT<br>&END MOTION<br></div><div><br></div><div>Regards</div><div><br></div><div>Jibiao Li</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Thu, 29 Jun 2023 at 19:39, Jürg Hutter <<a href="mailto:hutter@chem.uzh.ch">hutter@chem.uzh.ch</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Hi<br>
<br>
where are these numbers from? To me 41 Ry for a 11 electron Cu PP seems very low.<br>
According to the manual units for PW_CUTOFF and GK_CUTOFF are [a.u.^-1]<br>
<br>
JH<br>
<br>
________________________________________<br>
From: <a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a> <<a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a>> on behalf of Jibiao Li <<a href="mailto:science.sweden@gmail.com" target="_blank">science.sweden@gmail.com</a>><br>
Sent: Thursday, June 29, 2023 1:32 PM<br>
To: <a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a><br>
Subject: Re: [CP2K:19033] Terrible lattice constant of FCC copper from cell optimization<br>
<br>
Hi Jürg,<br>
<br>
For cell optimization for lattice constants, 500 eV or 41 Ry is sufficient. The problem is how should I convert eV or Ry to the unit of PW_CUTOFF.<br>
<br>
May I get an answer for it?<br>
<br>
Best<br>
<br>
Jibiao Li<br>
<br>
<br>
On Thu, 29 Jun 2023 at 19:12, Jürg Hutter <<a href="mailto:hutter@chem.uzh.ch" target="_blank">hutter@chem.uzh.ch</a><mailto:<a href="mailto:hutter@chem.uzh.ch" target="_blank">hutter@chem.uzh.ch</a>>> wrote:<br>
Hi<br>
<br>
removing the basis doesn't change the calculation (in this case).<br>
The SIRIUS output is in Bohr (6.82) the input was in Angstrom (3.61).<br>
<br>
Have you investigated if these parameters are adequate for your system/pseudopotential?<br>
<br>
    GK_CUTOFF 5<br>
    PW_CUTOFF 20<br>
    NGRIDK 10 10 10<br>
<br>
regards<br>
JH<br>
<br>
________________________________________<br>
From: <a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a><mailto:<a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a>> <<a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a><mailto:<a href="mailto:cp2k@googlegroups.com" target="_blank">cp2k@googlegroups.com</a>>> on behalf of Jibiao Li <<a href="mailto:science.sweden@gmail.com" target="_blank">science.sweden@gmail.com</a><mailto:<a href="mailto:science.sweden@gmail.com" target="_blank">science.sweden@gmail.com</a>>><br>
Sent: Thursday, June 29, 2023 12:36 PM<br>
To: cp2k<br>
Subject: Re: [CP2K:19031] Terrible lattice constant of FCC copper from cell optimization<br>
<br>
Hi Jürg,<br>
<br>
I have removed basis set and found that the problem remains. A difficult thing hard to understand : Why a different value (6.8219113397) was taken in the very beginning of the calculations? There must be somthing hard to understand.<br>
<br>
The lattice prior to the optimization:<br>
lattice vectors<br>
 a1 :    6.8219113397    0.0000000000    0.0000000000<br>
 a2 :    0.0000000000    6.8219113397    0.0000000000<br>
 a3 :    0.0000000000    0.0000000000    6.8219113397<br>
<br>
<br>
<br>
The head of The output file:<br>
<br>
 DBCSR| CPU Multiplication driver                      XSMM (U)<br>
 DBCSR| Multrec recursion limit                       512 (U)<br>
 DBCSR| Multiplication stack size                      1000 (D)<br>
 DBCSR| Maximum elements for images                  UNLIMITED (U)<br>
 DBCSR| Multiplicative factor virtual images                  1 (U)<br>
 DBCSR| Use multiplication densification                    T (D)<br>
 DBCSR| Multiplication size stacks                       3 (U)<br>
 DBCSR| Use memory pool for CPU allocation                   F (U)<br>
 DBCSR| Number of 3D layers                        SINGLE (U)<br>
 DBCSR| Use MPI memory allocation                       F (U)<br>
 DBCSR| Use RMA algorithm                           F (U)<br>
 DBCSR| Use Communication thread                        T (U)<br>
 DBCSR| Communication thread load                       42 (D)<br>
 DBCSR| MPI: My process id                           0<br>
 DBCSR| MPI: Number of processes                        8<br>
 DBCSR| OMP: Current number of threads                    13<br>
 DBCSR| OMP: Max number of threads                      13<br>
 DBCSR| Split modifier for TAS multiplication algorithm         1.0E+00 (U)<br>
<br>
SIRIUS 7.3.2, git hash: <a href="https://api.github.com/repos/electronic-structure/SIRIUS/git/ref/tags/v7.3.2" rel="noreferrer" target="_blank">https://api.github.com/repos/electronic-structure/SIRIUS/git/ref/tags/v7.3.2</a><br>
<br>
 **** **** ****** ** PROGRAM STARTED AT        2023-06-29 18:25:42.062<br>
 ***** ** *** *** **  PROGRAM STARTED ON                ubuntua<br>
 **  ****  ******  PROGRAM STARTED BY               jibiaoli<br>
 ***** **  ** ** **  PROGRAM PROCESS ID                333548<br>
 **** ** ******* ** PROGRAM STARTED IN       /home/jibiaoli/calc/test<br>
<br>
 CP2K| version string:                    CP2K version 2023.1<br>
 CP2K| source code revision number:                 git:b888bd8<br>
 CP2K| cp2kflags: omp fftw3 libxc pexsi elpa parallel scalapack cosma xsmm max_c<br>
 CP2K|      ontr=4 plumed2 spglib mkl sirius libvori libbqb libvdwxc<br>
 CP2K| is freely available from              <a href="https://www.cp2k.org/" rel="noreferrer" target="_blank">https://www.cp2k.org/</a><br>
 CP2K| Program compiled at      2023年 06月 28日 星期三 23:59:21 CST<br>
 CP2K| Program compiled on                        ubuntua<br>
 CP2K| Program compiled for                  Linux-intel-x86_64<br>
 CP2K| Data directory path         /home/jibiaoli/codes/cp2k-2023.1/data<br>
 CP2K| Input file name                        copper.inp<br>
<br>
 GLOBAL| Force Environment number                       1<br>
 GLOBAL| Basis set file name                      BASIS_SET<br>
 GLOBAL| Potential file name                      POTENTIAL<br>
 GLOBAL| MM Potential file name                   MM_POTENTIAL<br>
 GLOBAL| Coordinate file name                   __STD_INPUT__<br>
 GLOBAL| Method name                            CP2K<br>
 GLOBAL| Project name                         FCC_Copper<br>
 GLOBAL| Run type                            CELL_OPT<br>
 GLOBAL| FFT library                            FFTW3<br>
 GLOBAL| Diagonalization library                      ELPA<br>
 GLOBAL| DGEMM library                           BLAS<br>
 GLOBAL| Minimum number of eigenvectors for ELPA usage            16<br>
 GLOBAL| Orthonormality check for eigenvectors             DISABLED<br>
 GLOBAL| Matrix multiplication library                   COSMA<br>
 GLOBAL| All-to-all communication in single precision             F<br>
 GLOBAL| FFTs using library dependent lengths                 F<br>
 GLOBAL| Grid backend                            AUTO<br>
 GLOBAL| Global print level                         LOW<br>
 GLOBAL| MPI I/O enabled                            T<br>
 GLOBAL| Total number of message passing processes               8<br>
 GLOBAL| Number of threads for this process                  13<br>
 GLOBAL| This output is from process                      0<br>
 GLOBAL| Stack size for threads created by OpenMP (OMP_STACKSIZE)    default<br>
 GLOBAL| CPU model name      Intel(R) Xeon(R) Platinum 8171M CPU @ 2.30GHz<br>
 GLOBAL| CPUID                               1003<br>
<br>
 MEMORY| system memory details [Kb]<br>
 MEMORY|            rank 0      min      max    average<br>
 MEMORY| MemTotal       98585440   98585440   98585440   98585440<br>
 MEMORY| MemFree       57901124   57901124   57901124   57901124<br>
 MEMORY| Buffers        521896    521896    521896    521896<br>
 MEMORY| Cached        29522272   29522272   29522272   29522272<br>
 MEMORY| Slab         2499004    2499004    2499004    2499004<br>
 MEMORY| SReclaimable     1413276    1413276    1413276    1413276<br>
 MEMORY| MemLikelyFree    89358568   89358568   89358568   89358568<br>
<br>
<br>
 GENERATE| Preliminary Number of Bonds generated:               0<br>
 GENERATE| Achieved consistency in connectivity generation.<br>
<br>
 *******************************************************************************<br>
 *******************************************************************************<br>
 **                                      **<br>
 **  #### ##  ## #### ##### #####      #### ## #### ## ## ## ####  **<br>
 **  ## ####  ## ## ## ###  #####     ##  ## ## # ## ## ## ##   **<br>
 **  #### ## # ## ## ## ##### ###      ##### ## #### ## ## ## #####  **<br>
 **  ##  ####### ## ## ##   ###       ## ## ## # ## #####  ##  **<br>
 **  ##  ## # ## #### ##   ###      #### ## ## # ## ##### ####  **<br>
 **                                      **<br>
 **  SIRIUS: Domain specific library for electronic structure calculations  **<br>
 **                                      **<br>
 *******************************************************************************<br>
<br>
SIRIUS version : 7.3.2<br>
git hash    : <a href="https://api.github.com/repos/electronic-structure/SIRIUS/git/ref/tags/v7.3.2" rel="noreferrer" target="_blank">https://api.github.com/repos/electronic-structure/SIRIUS/git/ref/tags/v7.3.2</a><br>
git branch   : release v7.3.2<br>
build time   : 2023-06-28 23:11:48<br>
start time   : Thu, 29 Jun 2023 18:25:42<br>
<br>
number of MPI ranks      : 8<br>
MPI grid           : 1 1<br>
maximum number of OMP threads : 13<br>
number of MPI ranks per node : 8<br>
page size (Kb)Â Â Â Â Â Â Â Â : 4<br>
number of pages        : 24646360<br>
available memory (GB)Â Â Â Â Â : 94<br>
<br>
FFT context for density and potential<br>
=====================================<br>
 comm size               : 8<br>
 plane wave cutoff           : 20.000000<br>
 grid size               : 48 48 48  total : 110592<br>
 grid limits              : -23 24  -23 24  -23 24<br>
 number of G-vectors within the cutoff : 21466<br>
 local number of G-vectors       : 2672<br>
 number of G-shells          : 395<br>
<br>
FFT context for coarse grid<br>
=====================================<br>
 comm size               : 1<br>
 plane wave cutoff           : 10.000000<br>
 grid size               : 24 24 24  total : 13824<br>
 grid limits              : -11 12  -11 12  -11 12<br>
 number of G-vectors within the cutoff : 2689<br>
 local number of G-vectors       : 337<br>
 number of G-shells          : 100<br>
<br>
number of local G-vector blocks: 1<br>
<br>
Unit cell<br>
--------------------------------------------------------------------------------<br>
lattice vectors<br>
 a1 :    6.8219113397    0.0000000000    0.0000000000<br>
 a2 :    0.0000000000    6.8219113397    0.0000000000<br>
 a3 :    0.0000000000    0.0000000000    6.8219113397<br>
reciprocal lattice vectors<br>
 b1 :    0.9210300448    0.0000000000    0.0000000000<br>
 b2 :    0.0000000000    0.9210300448    0.0000000000<br>
 b3 :    0.0000000000    0.0000000000    0.9210300448<br>
<br>
unit cell volume :Â Â Â Â 317.48134574 [a.u.^3]<br>
1/sqrt(omega)Â Â :Â Â Â Â Â 0.05612300<br>
MT volume    : 0.000000 ( 0.00%)<br>
IT volume    : 317.481346 (100.00%)<br>
<br>
<br>
&GLOBAL<br>
 PROJECT FCC_Copper<br>
 RUN_TYPE CELL_OPT<br>
 PRINT_LEVEL LOW<br>
&END GLOBAL<br>
<br>
&FORCE_EVAL<br>
 METHOD SIRIUS<br>
 STRESS_TENSOR ANALYTICAL<br>
 &SUBSYS<br>
  &CELL<br>
   A 3.61 0.00 0.00<br>
   B 0.00 3.61 0.00<br>
   C 0.00 0.00 3.61<br>
   SYMMETRY CUBIC<br>
   PERIODIC XYZ<br>
  &END CELL<br>
  &COORD<br>
   Cu  0.000 0.000 0.000<br>
   Cu  0.000 1.805 1.805<br>
   Cu  1.805 0.000 1.805<br>
   Cu  1.805 1.805 0.000<br>
  &END COORD<br>
  &KIND Cu<br>
    POTENTIAL GTH-PBE-q11<br>
  &END KIND<br>
 &END SUBSYS<br>
 &PW_DFT<br>
  &CONTROL<br>
    VERBOSITY 2<br>
  &END CONTROL<br>
  &PARAMETERS<br>
    ELECTRONIC_STRUCTURE_METHOD pseudopotential<br>
    GK_CUTOFF 5<br>
    PW_CUTOFF 20<br>
    NUM_DFT_ITER 399<br>
    NGRIDK 10 10 10<br>
  &END PARAMETERS<br>
  &ITERATIVE_SOLVER<br>
    ENERGY_TOLERANCE 1e-5<br>
    NUM_STEPS 20<br>
    SUBSPACE_SIZE 4<br>
  &END ITERATIVE_SOLVER<br>
  &MIXER<br>
    BETA 0.3<br>
    TYPE BROYDEN2<br>
  &END MIXER<br>
 &END PW_DFT<br>
 &DFT<br>
  &XC<br>
   &XC_FUNCTIONAL<br>
    &GGA_X_PBE<br>
    &END GGA_X_PBE<br>
    &GGA_C_PBE<br>
    &END GGA_C_PBE<br>
   &END XC_FUNCTIONAL<br>
  &END XC<br>
 &END DFT<br>
&END FORCE_EVAL<br>
<br>
&MOTION<br>
 &CELL_OPT<br>
  MAX_ITER 200<br>
  OPTIMIZER BFGS<br>
  KEEP_SYMMETRY .TRUE.<br>
 &END CELL_OPT<br>
&END MOTION<br>
<br>
Best<br>
<br>
Jibiao Li<br>
On Thursday, 29 June 2023 at 16:24:04 UTC+8 Jürg Hutter wrote:<br>
Hi<br>
<br>
you are doing a plane wave calculation, so you don't have to specify a Gaussian basis set.<br>
However, the crucial parameter is now the PW cutoff. Make sure you have a reasonable value,<br>
either by testing or by comparing to literature.<br>
<br>
regards<br>
JH<br>
<br>
________________________________________<br>
From: <a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a><mailto:<a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a>> <<a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a><mailto:<a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a>>> on behalf of Jibiao Li <<a href="mailto:science...@gmail.com" target="_blank">science...@gmail.com</a><mailto:<a href="mailto:science...@gmail.com" target="_blank">science...@gmail.com</a>>><br>
Sent: Thursday, June 29, 2023 3:23 AM<br>
To: <a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a><mailto:<a href="mailto:cp...@googlegroups.com" target="_blank">cp...@googlegroups.com</a>><br>
Subject: [CP2K:19024] Terrible lattice constant of FCC copper from cell optimization<br>
<br>
Hi all,<br>
<br>
I got a terrible lattice constant (2.71) that is in significant disagreement with the experimental value (3.61). Something wrong with my input file ?<br>
<br>
*******************************************************************************<br>
*** GEOMETRY OPTIMIZATION COMPLETED ***<br>
*******************************************************************************<br>
<br>
Reevaluating energy at the minimum<br>
<br>
CELL| Volume [angstrom^3]: 19.962031<br>
CELL| Vector a [angstrom]: 2.713 0.000 0.000 |a| = 2.712699<br>
CELL| Vector b [angstrom]: 0.000 2.713 0.000 |b| = 2.712699<br>
CELL| Vector c [angstrom]: 0.000 0.000 2.713 |c| = 2.712699<br>
CELL| Angle (b,c), alpha [degree]: 90.000000<br>
CELL| Angle (a,c), beta [degree]: 90.000000<br>
CELL| Angle (a,b), gamma [degree]: 90.000000<br>
CELL| Requested initial symmetry: CUBIC<br>
CELL| Numerically orthorhombic: YES<br>
CELL| Periodicity XYZ<br>
<br>
<br>
&GLOBAL<br>
PROJECT FCC_Copper<br>
RUN_TYPE CELL_OPT<br>
PRINT_LEVEL LOW<br>
&END GLOBAL<br>
<br>
&FORCE_EVAL<br>
METHOD SIRIUS<br>
STRESS_TENSOR ANALYTICAL<br>
&SUBSYS<br>
&CELL<br>
A 3.61 0.00 0.00<br>
B 0.00 3.61 0.00<br>
C 0.00 0.00 3.61<br>
SYMMETRY CUBIC<br>
PERIODIC XYZ<br>
&END CELL<br>
&COORD<br>
Cu 0.000 0.000 0.000<br>
Cu 0.000 1.805 1.805<br>
Cu 1.805 0.000 1.805<br>
Cu 1.805 1.805 0.000<br>
&END COORD<br>
&KIND Cu<br>
BASIS_SET DZVP-MOLOPT-SR-GTH<br>
POTENTIAL GTH-PBE-q11<br>
&END KIND<br>
&END SUBSYS<br>
&PW_DFT<br>
&CONTROL<br>
VERBOSITY 2<br>
&END CONTROL<br>
&PARAMETERS<br>
ELECTRONIC_STRUCTURE_METHOD pseudopotential<br>
GK_CUTOFF 5.0<br>
PW_CUTOFF 20.00<br>
NUM_DFT_ITER 399<br>
NGRIDK 10 10 10<br>
&END PARAMETERS<br>
&ITERATIVE_SOLVER<br>
ENERGY_TOLERANCE 1e-5<br>
NUM_STEPS 20<br>
SUBSPACE_SIZE 4<br>
&END ITERATIVE_SOLVER<br>
&MIXER<br>
BETA 0.3<br>
TYPE BROYDEN2<br>
&END MIXER<br>
&END PW_DFT<br>
&DFT<br>
&XC<br>
&XC_FUNCTIONAL<br>
&GGA_X_PBE<br>
&END GGA_X_PBE<br>
&GGA_C_PBE<br>
&END GGA_C_PBE<br>
&END XC_FUNCTIONAL<br>
&END XC<br>
&END DFT<br>
&END FORCE_EVAL<br>
<br>
&MOTION<br>
&CELL_OPT<br>
MAX_ITER 200<br>
OPTIMIZER BFGS<br>
KEEP_SYMMETRY .TRUE.<br>
&END CELL_OPT<br>
&END MOTION<br>
<br>
Best Regards<br>
<br>
Jibiao Li<br>
<br>
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