cmake: more necessary files added. Still a lot of testing needed.

This commit is contained in:
suter_a 2018-05-31 13:26:36 +02:00
parent 923b3c493f
commit aa2cc9ddd2
101 changed files with 8369 additions and 928 deletions

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@ -1,6 +1,5 @@
#--- add further sub-directories ----------------------------------------------
add_subdirectory(classes)
#[==[
add_subdirectory(external)
if (Qt5Core_FOUND)
add_subdirectory(musredit_qt5)
@ -9,7 +8,6 @@ elseif (Qt4_FOUND)
elseif (QT_FOUND)
add_subdirectory(musrgui)
endif (Qt5Core_FOUND)
#]==]
#--- define the musrfit libs --------------------------------------------------
set(MUSRFIT_LIBS ${MUSRFIT_LIBS} mud)

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@ -31,6 +31,7 @@
#include "cuba.h"
#define USERDATA NULL
#define SPIN NULL
#define SEED 0
#define STATEFILE NULL
@ -45,6 +46,7 @@ std::vector<double> TDWaveGapIntegralCuhre::fPar;
double TDWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -57,9 +59,9 @@ double TDWaveGapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -96,6 +98,7 @@ std::vector<double> TCosSqDWaveGapIntegralCuhre::fPar;
double TCosSqDWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-8);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -108,9 +111,9 @@ double TCosSqDWaveGapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -147,6 +150,7 @@ std::vector<double> TSinSqDWaveGapIntegralCuhre::fPar;
double TSinSqDWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-8);
const double EPSABS (1e-10);
const unsigned int VERBOSE (0);
@ -159,9 +163,9 @@ double TSinSqDWaveGapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -198,6 +202,7 @@ std::vector<double> TAnSWaveGapIntegralCuhre::fPar;
double TAnSWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -210,9 +215,9 @@ double TAnSWaveGapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -249,6 +254,7 @@ std::vector<double> TAnSWaveGapIntegralDivonne::fPar;
double TAnSWaveGapIntegralDivonne::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -268,10 +274,10 @@ double TAnSWaveGapIntegralDivonne::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Divonne(fNDim, NCOMP, Integrand, USERDATA,
Divonne(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE, SEED, MINEVAL, MAXEVAL,
KEY1, KEY2, KEY3, MAXPASS, BORDER, MAXCHISQ, MINDEVIATION,
NGIVEN, LDXGIVEN, NULL, NEXTRA, NULL, STATEFILE,
NGIVEN, LDXGIVEN, NULL, NEXTRA, NULL, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -308,6 +314,7 @@ std::vector<double> TAnSWaveGapIntegralSuave::fPar;
double TAnSWaveGapIntegralSuave::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -316,14 +323,15 @@ double TAnSWaveGapIntegralSuave::IntegrateFunc()
const unsigned int MAXEVAL (1000000);
const unsigned int NNEW (1000);
const unsigned int NMIN (2);
const double FLATNESS (25.);
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Suave(fNDim, NCOMP, Integrand, USERDATA,
Suave(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, SEED, MINEVAL, MAXEVAL,
NNEW, FLATNESS, STATEFILE,
NNEW, NMIN, FLATNESS, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -360,6 +368,7 @@ std::vector<double> TNonMonDWave1GapIntegralCuhre::fPar;
double TNonMonDWave1GapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -372,9 +381,9 @@ double TNonMonDWave1GapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
@ -411,6 +420,7 @@ std::vector<double> TNonMonDWave2GapIntegralCuhre::fPar;
double TNonMonDWave2GapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const unsigned int NVEC(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
@ -423,9 +433,9 @@ double TNonMonDWave2GapIntegralCuhre::IntegrateFunc()
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand, USERDATA,
Cuhre(fNDim, NCOMP, Integrand, USERDATA, NVEC,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY, STATEFILE,
KEY, STATEFILE, SPIN,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];

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@ -27,7 +27,7 @@
***************************************************************************/
// root dictionary stuff --------------------------------------------------
#ifdef __CLING__
#ifdef __CINT__
#pragma link off all globals;
#pragma link off all classes;
@ -35,6 +35,6 @@
#pragma link C++ class BMWStartupHandler+;
#endif //__CLING__
#endif //__CINT__
// root dictionary stuff --------------------------------------------------

70
src/external/BMWtools/CMakeLists.txt vendored Normal file
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@ -0,0 +1,70 @@
# - BMWtools library ----------------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(CUBA_INC ${CMAKE_SOURCE_DIR}/src/external/libCuba/src)
root_generate_dictionary(
BMWStartupHandlerDict
-I${MUSRFIT_INC}
BMWStartupHandler.h
LINKDEF BMWStartupHandlerLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(BMW_TOOLS_VERSION "1.0.0")
set(BMW_TOOLS_LIBRARY_NAME "BMWtools")
configure_file("BMWtools.pc.in" "BMWtools.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(BMWtools SHARED
BMWStartupHandler.cpp
BMWStartupHandlerDict.cxx
TTrimSPDataHandler.cpp
BMWIntegrator.cpp
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
BMWtools BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${CUBA_INC}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(BMWtools ${ROOT_LIBRARIES} cuba)
#--- install BMWtools solib ---------------------------------------------------
install(TARGETS BMWtools DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libBMWStartupHandlerDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libBMWStartupHandlerDict.rootmap
DESTINATION lib
)
#--- install BMWtools header --------------------------------------------------
install(
FILES
BMWStartupHandler.h
TTrimSPDataHandler.h
BMWIntegrator.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/BMWtools.pc
DESTINATION lib/pkgconfig
)
#]==]

26
src/external/CMakeLists.txt vendored Normal file
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@ -0,0 +1,26 @@
if (ASlibs)
add_subdirectory(Nonlocal)
add_subdirectory(MagProximity)
add_subdirectory(libPhotoMeissner)
add_subdirectory(libSpinValve)
endif (ASlibs)
if (BMWlibs)
add_subdirectory(libCuba)
add_subdirectory(BMWtools)
add_subdirectory(libCalcMeanFieldsLEM)
add_subdirectory(libFitPofB)
add_subdirectory(libGapIntegrals)
add_subdirectory(libLFRelaxation)
add_subdirectory(libZFRelaxation)
endif (BMWlibs)
add_subdirectory(mud)
add_subdirectory(MusrRoot)
add_subdirectory(TLemRunHeader)
add_subdirectory(MuSR_software)
if (nexus)
add_subdirectory(nexus)
endif (nexus)

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@ -0,0 +1,73 @@
# - Mag. Proximity library ----------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
root_generate_dictionary(
PMagProximityFitterDict
-I${FFTW3_INCLUDE}
-I${MUSRFIT_INC}
PMagProximityFitter.h
LINKDEF PMagProximityFitterLinkDef.h
)
root_generate_dictionary(
PMPStartupHandlerDict PMPStartupHandler.h LINKDEF PMPStartupHandlerLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(PNL_PIPPARDFITTER_VERSION "1.0.0")
set(PNL_PIPPARDFITTER_LIBRARY_NAME "PMagProximityFitter")
configure_file("PMagProximityFitter.pc.in" "PMagProximityFitter.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(PMagProximityFitter SHARED
PMagProximityFitter.cpp
PMagProximityFitterDict.cxx
PMPRgeHandler.cpp
PMPStartupHandler.cpp
PMPStartupHandlerDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
PMagProximityFitter BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(PMagProximityFitter ${FFTW3_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase)
#--- install PMagProximityFitter solib ----------------------------------------
install(TARGETS PMagProximityFitter DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libPMagProximityFitterDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPMagProximityFitterDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libPMPStartupHandlerDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPMPStartupHandlerDict.rootmap
DESTINATION lib
)
#--- install PMagProximityFitter header ---------------------------------------
install(
FILES
PMagProximity.h
PMagProximityFitter.h
PMPRgeHandler.h
PMPStartupHandler.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/PMagProximityFitter.pc
DESTINATION lib/pkgconfig
)

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@ -0,0 +1,10 @@
prefix=@prefix@
exec_prefix=@exec_prefix@
libdir=@libdir@
includedir=@includedir@
Name: PMagProximityFitter
Description: C++ shared library providing the mag. proximity fitter class
Version: @P_MAG_PROXIMITY_FITTER_VERSION@
Libs: -L${libdir} -l@P_MAG_PROXIMITY_FITTER_LIBRARY_NAME@
Cflags: -I${includedir}

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@ -0,0 +1 @@
add_subdirectory(Class_MuSR_PSI)

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@ -0,0 +1,34 @@
# - Class_MuSR_PSI library ----------------------------------------------------
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(PSIBIN_VERSION "0.1.0")
set(PSIBIN_LIBRARY_NAME "Class_MuSR_PSI")
configure_file("Class_MuSR_PSI.pc.in" "Class_MuSR_PSI.pc" @ONLY)
#--- OS dependent pre-compiler settings for PSI-BIN ---------------------------
if (${CMAKE_SYSTEM_NAME} STREQUAL "Linux")
add_definitions(-D__linux__)
elseif (${CMAKE_SYSTEM_NAME} STREQUAL "Darwin")
add_definitions(-D_Darwin_)
elseif (${CMAKE_SYSTEM_NAME} STREQUAL "Windows")
add_definitions(-D_WIN32)
endif (${CMAKE_SYSTEM_NAME} STREQUAL "Linux")
#--- lib creation -------------------------------------------------------------
add_library(Class_MuSR_PSI SHARED MuSR_td_PSI_bin.cpp)
#--- install Class_MuSR_PSI solib ---------------------------------------------
install(TARGETS Class_MuSR_PSI DESTINATION lib)
#--- install MuSR_td_PSI_bin header -------------------------------------------
install(FILES MuSR_td_PSI_bin.h DESTINATION include)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/Class_MuSR_PSI.pc
DESTINATION lib/pkgconfig
)

47
src/external/MusrRoot/CMakeLists.txt vendored Normal file
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@ -0,0 +1,47 @@
# - TMusrRunHeader library ----------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
root_generate_dictionary(
TMusrRunHeaderDict TMusrRunHeader.h LINKDEF TMusrRunHeaderLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(MUSR_ROOT_VERSION "1.0.0")
set(MUSR_ROOT_LIBRARY_NAME "TMusrRunHeader")
configure_file("TMusrRunHeader.pc.in" "TMusrRunHeader.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(TMusrRunHeader SHARED
TMusrRunHeader.cpp
TMusrRunHeaderDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
TMusrRunHeader BEFORE PRIVATE $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(TMusrRunHeader ${ROOT_LIBRARIES})
#--- install TMusrRunHeader solib ---------------------------------------------
install(TARGETS TMusrRunHeader DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTMusrRunHeaderDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTMusrRunHeaderDict.rootmap
DESTINATION lib
)
#--- install TMusrRunHeader header --------------------------------------------
install(FILES TMusrRunHeader.h DESTINATION include)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/TMusrRunHeader.pc
DESTINATION lib/pkgconfig
)

71
src/external/Nonlocal/CMakeLists.txt vendored Normal file
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@ -0,0 +1,71 @@
# - Nonlocal library ----------------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
root_generate_dictionary(
PNL_PippardFitterDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
PNL_PippardFitter.h
LINKDEF PNL_PippardFitterLinkDef.h
)
root_generate_dictionary(
PNL_StartupHandlerDict PNL_StartupHandler.h LINKDEF PNL_StartupHandlerLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(PNL_PIPPARDFITTER_VERSION "1.0.0")
set(PNL_PIPPARDFITTER_LIBRARY_NAME "PNL_PippardFitter")
configure_file("PNL_PippardFitter.pc.in" "PNL_PippardFitter.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(PNL_PippardFitter SHARED
PNL_PippardFitter.cpp
PNL_PippardFitterDict.cxx
PNL_RgeHandler.cpp
PNL_StartupHandler.cpp
PNL_StartupHandlerDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
PNL_PippardFitter BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(PNL_PippardFitter ${FFTW3_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase)
#--- install PNL_PippardFitter solib ------------------------------------------
install(TARGETS PNL_PippardFitter DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libPNL_PippardFitterDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPNL_PippardFitterDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libPNL_StartupHandlerDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPNL_StartupHandlerDict.rootmap
DESTINATION lib
)
#--- install PNL_PippardFitter header -----------------------------------------
install(
FILES
PNL_PippardFitter.h
PNL_RgeHandler.h
PNL_StartupHandler.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/PNL_PippardFitter.pc
DESTINATION lib/pkgconfig
)

View File

@ -0,0 +1,10 @@
prefix=@prefix@
exec_prefix=@exec_prefix@
libdir=@libdir@
includedir=@includedir@
Name: PNL_PippardFitter
Description: C++ shared library providing the nonlocal sc fitter class
Version: @PNL_PIPPARDFITTER_VERSION@
Libs: -L${libdir} -l@PNL_PIPPARDFITTER_LIBRARY_NAME@
Cflags: -I${includedir}

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@ -0,0 +1,54 @@
# -TLemRunHeader library ------------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
root_generate_dictionary(
TLemRunHeaderDict TLemRunHeader.h LINKDEF TLemRunHeaderLinkDef.h
)
root_generate_dictionary(
TLemStatsDict TLemStats.h LINKDEF TLemStatsLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(LEM_VERSION "1.5.0")
set(LEM_LIBRARY_NAME "TLemRunHeader")
configure_file("TLemRunHeader.pc.in" "TLemRunHeader.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(TLemRunHeader SHARED
TLemRunHeader.cxx
TLemRunHeaderDict.cxx
TLemStats.cxx
TLemStatsDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
TLemRunHeader BEFORE PRIVATE $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(TLemRunHeader ${ROOT_LIBRARIES})
#--- install TLemRunHeader solib ----------------------------------------------
install(TARGETS TLemRunHeader DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTLemRunHeaderDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTLemRunHeaderDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libTLemStatsDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTLemStatsDict.rootmap
DESTINATION lib
)
#--- install headers ----------------------------------------------------------
install(FILES TLemRunHeader.h TLemStats.h DESTINATION include)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/TLemRunHeader.pc
DESTINATION lib/pkgconfig
)

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@ -0,0 +1,74 @@
# - libCalcMeanFieldsLEM library ----------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(BMW_TOOLS_INC ${CMAKE_SOURCE_DIR}/src/external/BMWtools)
set(POFB_INC ${CMAKE_SOURCE_DIR}/src/external/libFitPofB/include)
root_generate_dictionary(
TCalcMeanFieldsLEMDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
-I${POFB_INC}
TCalcMeanFieldsLEM.h
LINKDEF TCalcMeanFieldsLEMLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(T_CALC_MEAN_FIELD_LEM_VERSION "1.0.0")
set(T_CALC_MEAN_FIELD_LEM_LIBRARY_NAME "TCalcMeanFieldsLEM")
configure_file("TCalcMeanFieldsLEM.pc.in" "TCalcMeanFieldsLEM.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(CalcMeanFieldsLEM SHARED
TCalcMeanFieldsLEM.cpp
TCalcMeanFieldsLEMDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
CalcMeanFieldsLEM BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${BMW_TOOLS_INC}>
$<BUILD_INTERFACE:${POFB_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(CalcMeanFieldsLEM
${FFTW3_LIBRARY} ${ROOT_LIBRARIES} BMWtools FitPofB PUserFcnBase
)
#--- install CalcMeanFieldsLEM solib ------------------------------------------
install(TARGETS CalcMeanFieldsLEM DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTCalcMeanFieldsLEMDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTCalcMeanFieldsLEMDict.rootmap
DESTINATION lib
)
#--- install CalcMeanFieldsLEM header -----------------------------------------
install(
FILES
TCalcMeanFieldsLEM.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/TCalcMeanFieldsLEM.pc
DESTINATION lib/pkgconfig
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#]==]

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add_subdirectory(src)

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# - cuba library --------------------------------------------------------------
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(CUBA_VERSION "4.2.0")
set(CUBA_LIBRARY_NAME "cuba")
configure_file("cuba.pc.in" "cuba.pc" @ONLY)
add_subdirectory(common)
add_subdirectory(cuhre)
add_subdirectory(divonne)
add_subdirectory(suave)
add_subdirectory(vegas)
#--- lib creation -------------------------------------------------------------
add_library(cuba SHARED
$<TARGET_OBJECTS:common>
$<TARGET_OBJECTS:cuhre>
$<TARGET_OBJECTS:divonne>
$<TARGET_OBJECTS:suave>
$<TARGET_OBJECTS:vegas>
)
#--- install cuba solib -------------------------------------------------------
install(TARGETS cuba DESTINATION lib)
#--- install cuba header ------------------------------------------------------
install(
FILES
cuba.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/cuba.pc
DESTINATION lib/pkgconfig
)

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.PRECIOUS: Makefile
# Tell versions [3.59,3.63) of GNU make to not export all variables.
# Otherwise a system limit (for SysV at least) may be exceeded.
.NOEXPORT:

View File

@ -0,0 +1,34 @@
#--- common -------------------------------------------------------------------
set(common_src Global.c)
set(common_src ${common_src} Data.c)
if (HAVE_FORK)
set(common_src ${common_src} Fork.c)
endif (HAVE_FORK)
#--- obj lib creation ---------------------------------------------------------
add_library(common OBJECT ${common_src})
#--- make sure that the include directory is found ----------------------------
target_include_directories(
common BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/..>
)
#--- check for pre compile flags ----------------------------------------------
set(COMP_DEF "-DHAVE_CONFIG_H")
set(COMP_DEF ${COMP_DEF} "-DNOUNDERSCORE")
target_compile_definitions(
common PRIVATE ${COMP_DEF}
)
set(COMP_OPT "-O3")
set(COMP_OPT ${COMP_OPT} "-fomit-frame-pointer")
set(COMP_OPT ${COMP_OPT} "-ffast-math")
set(COMP_OPT ${COMP_OPT} "-fPIC")
target_compile_options(
common PRIVATE ${COMP_OPT}
)

View File

@ -3,19 +3,27 @@
the serial sampling routine
for the C versions of the Cuba routines
by Thomas Hahn
last modified 19 Dec 11 th
last modified 9 Oct 14 th
*/
static inline number SampleRaw(cThis *t, number n, creal *x, real *f
VES_ONLY(, creal *w, ccount iter))
coreinit cubafun_;
extern int cubaverb_;
extern corespec cubaworkers_;
static inline number SampleRaw(This *t, number n, creal *x, real *f,
cint core VES_ONLY(, creal *w, ccount iter))
{
for( ; n; --n ) {
if( t->integrand(&t->ndim, x, &t->ncomp, f, t->userdata
VES_ONLY(, w++, &iter)
number nvec;
for( nvec = t->nvec; n > 0; n -= nvec ) {
nvec = IMin(n, nvec);
if( t->integrand(&t->ndim, x, &t->ncomp, f, t->userdata, &nvec, &core
VES_ONLY(, w, &iter)
DIV_ONLY(, &t->phase)) == ABORT ) return -1;
x += t->ndim;
f += t->ncomp;
VES_ONLY(w += nvec;)
x += nvec*t->ndim;
f += nvec*t->ncomp;
}
return 0;
}
@ -25,8 +33,9 @@ static inline number SampleRaw(cThis *t, number n, creal *x, real *f
static inline void DoSampleSerial(This *t, cnumber n, creal *x, real *f
VES_ONLY(, creal *w, ccount iter))
{
MasterInit();
t->neval += n;
if( SampleRaw(t, n, x, f VES_ONLY(, w, iter)) )
if( SampleRaw(t, n, x, f, -1 VES_ONLY(, w, iter)) )
longjmp(t->abort, -99);
}
@ -43,7 +52,13 @@ DIV_ONLY(static int Explore(This *t, cint iregion);)
#define DoSample DoSampleSerial
#define Explore ExploreSerial
#define ForkCores(t)
#define WaitCores(t)
static inline void WaitCores(This *t, Spin **pspin)
{
if( Invalid(pspin) ) MasterExit();
}
#define WaitCores(t, pspin)
#endif
@ -51,7 +66,7 @@ DIV_ONLY(static int Explore(This *t, cint iregion);)
static inline count SampleExtra(This *t, cBounds *b)
{
number n = t->nextra;
t->peakfinder(&t->ndim, b, &n, t->xextra);
t->peakfinder(&t->ndim, b, &n, t->xextra, t->userdata);
DoSample(t, n, t->xextra, t->fextra);
return n;
}
@ -60,7 +75,7 @@ static inline count SampleExtra(This *t, cBounds *b)
#include "common.c"
#ifdef HAVE_FORK
#include "Fork.c"
#include "Parallel.c"
#endif
#include "Integrate.c"

View File

@ -3,7 +3,7 @@
the chi-square cdf
after W.J. Kennedy and J.E. Gentle,
Statistical computing, p. 116
last modified 9 Feb 05 th
last modified 12 Mar 15 th
*/
#ifdef HAVE_ERF
@ -31,7 +31,7 @@ static real ChiSquare(creal x, cint df)
if( df > 1000 ) {
if( x < 2 ) return 0;
y = 2./(9*df);
y = (pow(x/df, 1/3.) - (1 - y))/sqrt(y);
y = (powx(x/df, 1/3.) - (1 - y))/sqrtx(y);
if( y > 5 ) return 1;
if( y < -18.8055 ) return 0;
return Normal(y);
@ -40,13 +40,13 @@ static real ChiSquare(creal x, cint df)
y = .5*x;
if( df & 1 ) {
creal sqrty = sqrt(y);
creal sqrty = sqrtx(y);
real h = Erf(sqrty);
count i;
if( df == 1 ) return h;
y = sqrty*exp(-y)/.8862269254527579825931;
y = sqrty*expx(-y)/.8862269254527579825931;
for( i = 3; i < df; i += 2 ) {
h -= y;
y *= x/i;
@ -54,7 +54,7 @@ static real ChiSquare(creal x, cint df)
y = h - y;
}
else {
real term = exp(-y), sum = term;
real term = expx(-y), sum = term;
count i;
for( i = 1; i < df/2; ++i )

18
src/external/libCuba/src/common/Data.c vendored Normal file
View File

@ -0,0 +1,18 @@
/*
Data.c
initialized data for Cuba
by Thomas Hahn
last modified 21 Jul 14 th
*/
#include "stddecl.h"
int cubaverb_ = uninitialized;
#ifdef HAVE_FORK
corespec cubaworkers_ = {
uninitialized, uninitialized,
uninitialized, uninitialized };
#endif

View File

@ -4,7 +4,7 @@
= 2/Sqrt[Pi] Integrate[Exp[-t^2], {t, 0, x}]
Code from Takuya Ooura's gamerf2a.f
http://www.kurims.kyoto-u.ac.jp/~ooura/gamerf.html
last modified 8 Feb 05 th
last modified 12 Mar 15 th
*/
@ -21,12 +21,12 @@ static real Erfc(creal x)
1.66642447174307753e-07, 1.48455557345597957e+01,
6.10399733098688199e+00, 1.26974899965115684e+01 };
real y = x*x;
y = exp(-y)*x*(
y = expx(-y)*x*(
c[0]/(y + c[1]) + c[2]/(y + c[3]) +
c[4]/(y + c[5]) + c[6]/(y + c[7]) +
c[8]/(y + c[9]) + c[10]/(y + c[11]) +
c[12]/(y + c[13]) + c[14]/(y + c[15]) );
if( x < c[16] ) y += 2/(exp(c[17]*x) + 1);
if( x < c[16] ) y += 2/(expx(c[17]*x) + 1);
return y;
}
@ -40,7 +40,7 @@ static real Erf(creal x)
-2.68661698447642378e-02,
5.22387877685618101e-03,
-8.49202435186918470e-04 };
real y = fabs(x);
real y = fabsx(x);
if( y > .125 ) {
y = 1 - Erfc(y);
return (x > 0) ? y : -y;

View File

@ -1,389 +1,98 @@
/*
Fork.c
the parallel sampling routine
for the C versions of the Cuba routines
fork the cores for parallel sampling
(C version only)
by Thomas Hahn
last modified 25 Sep 13 th
last modified 23 Apr 15 th
*/
#define MINSLICE 10
#define ROUTINE "cubafork"
#include "stddecl.h"
#ifdef HAVE_FORK
#include "sock.h"
#define MINCORES 1
/*#define MINCORES 2*/
typedef struct {
number n, m, i;
VES_ONLY(count iter;)
DIV_ONLY(int phase SHM_ONLY(, shmid);)
} Slice;
extern coreinit cubafun_;
extern int cubaverb_;
extern corespec cubaworkers_;
workerini cubaini;
/*********************************************************************/
#if defined HAVE_SHMGET && (defined SUAVE || defined DIVONNE)
#define FRAMECOPY
#endif
static inline void Child(cint fd, cint core)
{
dispatch d;
#ifdef DEBUG
#define TERM_RED "\e[31m"
#define TERM_BLUE "\e[34m"
#define TERM_RESET "\e[0m\n"
#define MASTER(s, ...) \
fprintf(stderr, TERM_RED ROUTINE " master %d(%d): " s TERM_RESET, core, getpid(), ##__VA_ARGS__)
#define WORKER(s, ...) \
fprintf(stderr, TERM_BLUE ROUTINE " worker %d(%d): " s TERM_RESET, core, getpid(), ##__VA_ARGS__)
while( readsock(fd, &d, sizeof d) == sizeof d ) {
if( d.thissize ) {
MemAlloc(d.thisptr, d.thissize);
WORKER("reading This (%lu)", d.thissize);
readsock(fd, d.thisptr, d.thissize);
}
WORKER("running %p on fd %d", d.thisptr, fd);
d.worker(d.thisptr, d.thissize, core, fd);
if( d.thissize ) free(d.thisptr);
}
}
/*********************************************************************/
Extern void SUFFIX(cubafork)(Spin **pspin)
{
char out[128];
int cores, core;
fdpid *pfp;
Spin *spin;
VerboseInit();
EnvInit(cubaworkers_.paccel, "CUBAACCELMAX", 1000);
EnvInit(cubaworkers_.pcores, "CUBACORESMAX", 10000);
EnvInit(cubaworkers_.naccel, "CUBAACCEL", 0);
EnvInit(cubaworkers_.ncores, "CUBACORES", -sysconf(_SC_NPROCESSORS_ONLN));
#ifdef HAVE_GETLOADAVG
if( cubaworkers_.ncores < 0 ) {
static int load = uninitialized;
if( load == uninitialized ) {
double loadavg;
getloadavg(&loadavg, 1);
load = floor(loadavg);
}
cubaworkers_.ncores = IMax(-cubaworkers_.ncores - load, 0);
}
#else
#define MASTER(s, ...)
#define WORKER(s, ...)
cubaworkers_.ncores = abs(cubaworkers_.ncores);
#endif
/*********************************************************************/
#ifndef MSG_WAITALL
/* Windows */
#define MSG_WAITALL 0
#endif
static inline int readsock(int fd, void *data, size_t n)
{
ssize_t got;
size_t remain = n;
do got = recv(fd, data, remain, MSG_WAITALL);
while( got > 0 && (data += got, remain -= got) > 0 );
return got;
}
static inline int writesock(int fd, const void *data, size_t n)
{
ssize_t got;
size_t remain = n;
do got = send(fd, data, remain, MSG_WAITALL);
while( got > 0 && (data += got, remain -= got) > 0 );
return got;
}
/*********************************************************************/
static void DoSample(This *t, number n, creal *x, real *f
VES_ONLY(, creal *w, ccount iter))
{
cint ncores = IMin(t->ncores, n/MINSLICE);
if( ncores < MINCORES ) DoSampleSerial(t, n, x, f VES_ONLY(, w, iter));
else {
Slice slice;
int core, abort;
number nx;
char s[128];
t->neval += n;
nx = n % ncores;
slice.m = slice.n = n/ncores + 1;
if( VERBOSE > 2 ) {
sprintf(s, "sampling " NUMBER " points each on %d cores",
slice.n, ncores);
Print(s);
}
slice.i = 0;
VES_ONLY(slice.iter = iter;)
DIV_ONLY(slice.phase = t->phase;)
#ifdef DIVONNE
if( n > t->nframe ) {
FrameFree(t, ShmRm(t));
t->nframe = n;
FrameAlloc(t);
}
SHM_ONLY(slice.shmid = t->shmid;)
#endif
SHM_ONLY(if( t->shmid != -1 ) {
slice.m = n;
#ifdef FRAMECOPY
VES_ONLY(Copy(t->frame, w, n);)
Copy(t->frame + n*NW, x, n*t->ndim);
#endif
})
for( core = 0; core < ncores; ++core ) {
cint fd = t->child[core];
slice.n -= (core == nx);
MASTER("sending samples (sli:%lu[+" VES_ONLY(NUMBER "w:%lu+")
NUMBER "x:%lu]) to fd %d",
sizeof slice, VES_ONLY(slice.n, sizeof *w,)
slice.n, t->ndim*sizeof *x, fd);
writesock(fd, &slice, sizeof slice);
SHM_ONLY(if( t->shmid == -1 )) {
VES_ONLY(writesock(fd, w, slice.n*sizeof *w);
w += slice.n;)
writesock(fd, x, slice.n*t->ndim*sizeof *x);
x += slice.n*t->ndim;
}
slice.i += slice.n;
}
abort = 0;
for( core = 0; core < ncores; ++core ) {
cint fd = t->child[core];
readsock(fd, &slice, sizeof slice);
MASTER("reading samples (sli:%lu[+" NUMBER "f:%lu]) from fd %d",
sizeof slice, slice.n, t->ncomp*sizeof *f, fd);
if( slice.n == -1 ) abort = 1;
else SHM_ONLY(if( t->shmid == -1 )) readsock(fd,
f + slice.i*t->ncomp, slice.n*t->ncomp*sizeof *f);
}
if( abort ) longjmp(t->abort, -99);
#ifdef FRAMECOPY
if( t->shmid != -1 )
Copy(f, t->frame + slice.m*(NW + t->ndim), slice.m*t->ncomp);
#endif
}
}
/*********************************************************************/
#ifdef DIVONNE
static inline int ReadyCore(cThis *t)
{
fd_set ready;
int core, n = 0;
FD_ZERO(&ready);
for( core = 0; core < t->ncores; ++core ) {
FD_SET(t->child[core], &ready);
n = IMax(n, t->child[core]);
}
select(n + 1, &ready, NULL, NULL, NULL);
for( core = 0; core < t->ncores; ++core )
if( FD_ISSET(t->child[core], &ready) ) break;
return core;
}
/*********************************************************************/
typedef struct {
number neval, neval_opt, neval_cut;
count nregions, iregion, retval;
} ExploreResult;
static int Explore(This *t, cint iregion)
{
csize_t regionsize = RegionSize;
Region *region;
int ireg = iregion, core = t->running;
Vector(Totals, totals, NCOMP);
if( t->ncores < MINCORES ) return ExploreSerial(t, iregion);
if( t->running >= ((iregion < 0) ? 1 : t->ncores) ) {
cint fd = t->child[core = ReadyCore(t)];
ExploreResult res;
count comp, succ;
--t->running;
MASTER("reading res + region (res:%lu+reg:%lu) from fd %d",
sizeof res, regionsize, fd);
readsock(fd, &res, sizeof res);
ireg = res.iregion;
region = RegionPtr(ireg);
succ = ireg + region->next;
readsock(fd, region, regionsize);
if( --res.nregions > 0 ) {
region->next = t->nregions - ireg;
EnlargeRegions(t, res.nregions);
MASTER("reading regions (%dreg:%lu) from fd %d",
res.nregions, regionsize, fd);
readsock(fd, RegionPtr(t->nregions), res.nregions*regionsize);
t->nregions += res.nregions;
RegionPtr(t->nregions-1)->next = succ - t->nregions + 1;
}
MASTER("reading totals (tot:%lu) from fd %d",
t->ncomp*sizeof(Totals), fd);
readsock(fd, totals, t->ncomp*sizeof(Totals));
for( comp = 0; comp < t->ncomp; ++comp )
t->totals[comp].secondspread =
Max(t->totals[comp].secondspread, totals[comp].secondspread);
t->neval += res.neval;
t->neval_opt += res.neval_opt;
t->neval_cut += res.neval_cut;
if( res.retval == -1 ) return -1;
cores = cubaworkers_.naccel + cubaworkers_.ncores;
if( cores < MINCORES ) {
*pspin = NULL;
return;
}
if( iregion >= 0 ) {
Slice slice;
cint fd = t->child[core];
slice.n = 0;
slice.i = iregion;
slice.phase = t->phase;
region = RegionPtr(iregion);
MASTER("writing region (sli:%lu+sam:%lu+reg:%lu+tot:%lu) to fd %d",
sizeof slice, sizeof(Samples), regionsize,
t->ncomp*sizeof(Totals), fd);
writesock(fd, &slice, sizeof slice);
writesock(fd, &t->samples[region->isamples], sizeof(Samples));
writesock(fd, region, regionsize);
writesock(fd, t->totals, t->ncomp*sizeof(Totals));
region->depth = 0;
++t->running;
}
return ireg;
}
#endif
/*********************************************************************/
static void DoChild(This *t, cint core, cint fd)
{
Slice slice;
#ifdef DIVONNE
csize_t regionsize = RegionSize;
Vector(Totals, totals, NCOMP);
ExploreResult res;
t->totals = totals;
t->ncores = 0; /* no recursive forks */
t->size = 2*t->ndim + 2;
AllocRegions(t);
#endif
#ifdef SUAVE
SHM_ONLY(if( t->shmid == -1 ))
MemAlloc(t->frame, t->nframe*SAMPLESIZE);
#endif
if( cubaini.initfun ) cubaini.initfun(cubaini.initarg);
while( readsock(fd, &slice, sizeof slice) ) {
number n = slice.n;
DIV_ONLY(t->phase = slice.phase;)
if( n > 0 ) {
real VES_ONLY(*w,) *x, *f;
WORKER("reading samples (sli:%lu[+" VES_ONLY(NUMBER "w:%lu+")
NUMBER "x:%lu]) from fd %d",
sizeof slice, VES_ONLY(n, sizeof *w,) n, t->ndim*sizeof *x, fd);
#ifdef DIVONNE
if( slice.m > t->nframe ) {
FrameFree(t);
t->nframe = slice.m;
SHM_ONLY(t->shmid = slice.shmid; ShmMap(t) else)
MemAlloc(t->frame, t->nframe*SAMPLESIZE);
}
#endif
VES_ONLY(w = t->frame;)
x = t->frame + slice.m*NW;
f = x + slice.m*t->ndim;
SHM_ONLY(if( t->shmid != -1 ) {
VES_ONLY(w += slice.i;)
x += slice.i*t->ndim;
f += slice.i*t->ncomp;
}
else) {
VES_ONLY(readsock(fd, w, n*sizeof *w);)
readsock(fd, x, n*t->ndim*sizeof *x);
}
slice.n |= SampleRaw(t, n, x, f VES_ONLY(, w, slice.iter));
WORKER("writing samples (sli:%lu[+" NUMBER "f:%lu]) to fd %d",
sizeof slice, slice.n, t->ncomp*sizeof *f, fd);
writesock(fd, &slice, sizeof slice);
if( SHM_ONLY(t->shmid == -1 &&) slice.n != -1 )
writesock(fd, f, slice.n*t->ncomp*sizeof *f);
}
#ifdef DIVONNE
else {
Samples *samples, psamples;
WORKER("reading region (sli:%lu+sam:%lu+reg:%lu+tot:%lu) from fd %d",
sizeof slice, sizeof(Samples), regionsize,
t->ncomp*sizeof(Totals), fd);
readsock(fd, &psamples, sizeof(Samples));
readsock(fd, t->region, regionsize);
readsock(fd, totals, t->ncomp*sizeof(Totals));
t->nregions = 1;
t->neval = t->neval_opt = t->neval_cut = 0;
samples = &t->samples[RegionPtr(0)->isamples];
if( psamples.n != samples->n ) {
SamplesFree(samples);
*samples = psamples;
SamplesAlloc(t, samples);
}
res.retval = ExploreSerial(t, 0);
res.neval = t->neval;
res.neval_opt = t->neval_opt;
res.neval_cut = t->neval_cut;
res.nregions = t->nregions;
res.iregion = slice.i;
WORKER("writing regions (res:%lu+%dreg:%lu+tot:%lu) to fd %d",
sizeof res, t->nregions, regionsize,
t->ncomp*sizeof(Totals), fd);
writesock(fd, &res, sizeof res);
writesock(fd, t->region, t->nregions*regionsize);
writesock(fd, totals, t->ncomp*sizeof(Totals));
}
#endif
}
WORKER("wrapping up");
if( cubaini.exitfun ) cubaini.exitfun(cubaini.exitarg);
exit(0);
}
/*********************************************************************/
#ifdef HAVE_GETLOADAVG
double cubaloadavg_;
#endif
static inline void ForkCores(This *t)
{
int core;
char s[128];
cchar *env = getenv("CUBACORES");
t->ncores = env ? atoi(env) : sysconf(_SC_NPROCESSORS_ONLN);
#ifdef HAVE_GETLOADAVG
if( env == NULL || t->ncores < 0 ) {
if( cubaloadavg_ < 0 ) getloadavg(&cubaloadavg_, 1);
t->ncores = abs(t->ncores) - floor(cubaloadavg_);
}
#endif
DIV_ONLY(t->running = 0;)
if( t->ncores < MINCORES ) return;
if( VERBOSE ) {
sprintf(s, "using %d cores via "
if( cubaverb_ ) {
sprintf(out, "using %d cores %d accelerators via "
#ifdef HAVE_SHMGET
"shared memory",
#else
"pipes",
#endif
t->ncores);
Print(s);
cubaworkers_.ncores, cubaworkers_.naccel);
Print(out);
}
fflush(NULL); /* make sure all buffers are flushed,
or else buffered content will be written
out multiply, at each child's exit(0) */
Alloc(t->child, t->ncores);
for( core = 0; core < t->ncores; ++core ) {
MemAlloc(spin, sizeof *spin + cores*sizeof *spin->fp);
spin->spec = cubaworkers_;
pfp = spin->fp;
for( core = -spin->spec.naccel; core < spin->spec.ncores; ++core ) {
int fd[2];
pid_t pid;
assert(
@ -391,32 +100,65 @@ static inline void ForkCores(This *t)
(pid = fork()) != -1 );
if( pid == 0 ) {
close(fd[0]);
DoChild(t, core, fd[1]);
free(spin);
Child(fd[1], core);
exit(0);
}
MASTER("forked pid %d pipe %d(master) -> %d(worker)",
pid, fd[0], fd[1]);
close(fd[1]);
t->child[core] = fd[0];
pfp->fd = fd[0];
pfp->pid = pid;
++pfp;
}
*pspin = spin;
}
/*********************************************************************/
static inline void WaitCores(cThis *t)
Extern void SUFFIX(cubawait)(Spin **pspin)
{
if( t->ncores >= MINCORES ) {
int core;
pid_t pid;
for( core = 0; core < t->ncores; ++core ) {
MASTER("closing fd %d", t->child[core]);
close(t->child[core]);
}
free(t->child);
for( core = 0; core < t->ncores; ++core ) {
MASTER("waiting for child");
wait(&pid);
MASTER("pid %d terminated", pid);
}
int cores, core, status;
Spin *spin;
MasterExit();
if( Invalid(pspin) || (spin = *pspin) == NULL ) return;
cores = spin->spec.naccel + spin->spec.ncores;
for( core = 0; core < cores; ++core ) {
MASTER("closing fd %d", spin->fp[core].fd);
close(spin->fp[core].fd);
}
#ifdef KILL_WORKERS
for( core = 0; core < cores; ++core ) {
MASTER("killing pid %d", spin->fp[core].pid);
kill(spin->fp[core].pid, SIGKILL);
}
#endif
for( core = 0; core < cores; ++core ) {
DEB_ONLY(pid_t pid;)
MASTER("waiting for child");
DEB_ONLY(pid =) wait(&status);
MASTER("pid %d terminated with exit code %d", pid, status);
}
free(spin);
*pspin = NULL;
}
#else
Extern void SUFFIX(cubafork)(Spin **pspin) {}
Extern void SUFFIX(cubawait)(Spin **pspin)
{
MasterExit();
}
#endif

View File

@ -0,0 +1,58 @@
/*
Global.c
set global vars
by Thomas Hahn
last modified 21 Jul 14 th
*/
#include "stddecl.h"
coreinit cubafun_;
extern int cubaverb_;
#ifdef HAVE_FORK
extern corespec cubaworkers_;
#endif
Extern void SUFFIX(cubaverbose)(cint verb)
{
cubaverb_ = verb;
}
/*********************************************************************/
Extern void SUFFIX(cubacores)(cint n, cint p)
{
#ifdef HAVE_FORK
cubaworkers_.ncores = n;
cubaworkers_.pcores = p;
#endif
}
Extern void SUFFIX(cubaaccel)(cint n, cint p)
{
#ifdef HAVE_FORK
cubaworkers_.naccel = n;
cubaworkers_.paccel = p;
#endif
}
/*********************************************************************/
Extern void SUFFIX(cubainit)(subroutine f, void *arg)
{
cubafun_.initfun = f;
cubafun_.initarg = arg;
}
/*********************************************************************/
Extern void SUFFIX(cubaexit)(subroutine f, void *arg)
{
cubafun_.exitfun = f;
cubafun_.exitarg = arg;
}

View File

@ -3,7 +3,7 @@
the sampling routine for the
Mathematica versions of the Cuba routines
by Thomas Hahn
last modified 19 Mar 12 th
last modified 13 Mar 15 th
*/
@ -11,20 +11,20 @@ static void DoSample(This *t, cnumber n, real *x, real *f
VES_ONLY(, real *w, ccount iter))
{
real *mma_f;
long mma_n;
int mma_n;
if( MLAbort ) longjmp(t->abort, -99);
MLPutFunction(stdlink, "EvaluatePacket", 1);
MLPutFunction(stdlink, "Cuba`" ROUTINE "`sample", 1 VES_ONLY(+2) DIV_ONLY(+1));
MLPutRealList(stdlink, x, n*t->ndim);
VES_ONLY(MLPutRealList(stdlink, w, n);
MLPutRealxList(stdlink, x, n*t->ndim);
VES_ONLY(MLPutRealxList(stdlink, w, n);
MLPutInteger(stdlink, iter);)
DIV_ONLY(MLPutInteger(stdlink, t->phase);)
MLEndPacket(stdlink);
MLNextPacket(stdlink);
if( !MLGetRealList(stdlink, &mma_f, &mma_n) ) {
if( !MLGetRealxList(stdlink, &mma_f, &mma_n) ) {
MLClearError(stdlink);
MLNewPacket(stdlink);
longjmp(t->abort, -99);
@ -33,12 +33,12 @@ static void DoSample(This *t, cnumber n, real *x, real *f
t->neval += mma_n;
if( mma_n != n*t->ncomp ) {
MLDisownRealList(stdlink, mma_f, mma_n);
MLReleaseRealxList(stdlink, mma_f, mma_n);
longjmp(t->abort, -3);
}
Copy(f, mma_f, n*t->ncomp);
MLDisownRealList(stdlink, mma_f, mma_n);
MLReleaseRealxList(stdlink, mma_f, mma_n);
}
/*********************************************************************/
@ -50,16 +50,16 @@ static count SampleExtra(This *t, cBounds *b)
{
count n, nget;
real *mma_f;
long mma_n;
int mma_n;
MLPutFunction(stdlink, "EvaluatePacket", 1);
MLPutFunction(stdlink, "Cuba`Divonne`findpeak", 2);
MLPutRealList(stdlink, (real *)b, 2*t->ndim);
MLPutRealxList(stdlink, (real *)b, 2*t->ndim);
MLPutInteger(stdlink, t->phase);
MLEndPacket(stdlink);
MLNextPacket(stdlink);
if( !MLGetRealList(stdlink, &mma_f, &mma_n) ) {
if( !MLGetRealxList(stdlink, &mma_f, &mma_n) ) {
MLClearError(stdlink);
MLNewPacket(stdlink);
longjmp(t->abort, -99);
@ -73,7 +73,7 @@ static count SampleExtra(This *t, cBounds *b)
Copy(t->fextra, mma_f + nget*t->ndim, n*t->ncomp);
}
MLDisownRealList(stdlink, mma_f, mma_n);
MLReleaseRealxList(stdlink, mma_f, mma_n);
return n;
}

View File

@ -1,12 +1,14 @@
## Process this file with automake to create Makefile.in
c_sources = WorkerIni.c
c_sources = \
Global.c \
Data.c
AM_CPPFLAGS = -I. -I.. -I../common -DNOUNDERSCORE
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS)
AM_LDFLAGS = $(LOCAL_LIB_LDFLAGS)
noinst_LTLIBRARIES = libworkerini.la
noinst_LTLIBRARIES = libcommon.la
libworkerini_la_SOURCES = $(c_sources)
libworkerini_la_LDFLAGS = $(AM_LDFLAGS)
libcommon_la_SOURCES = $(c_sources)
libcommon_la_LDFLAGS = $(AM_LDFLAGS)

View File

@ -0,0 +1,441 @@
/*
Parallel.c
the parallel sampling routine
for the C versions of the Cuba routines
by Thomas Hahn
last modified 23 Apr 15 th
*/
#include "sock.h"
#define MINSLICE 10
#define MINCORES 1
/*#define MINCORES 2*/
typedef struct {
number n, m, i;
VES_ONLY(count iter;)
DIV_ONLY(int phase SHM_ONLY(, shmid);)
} Slice;
#if defined HAVE_SHMGET && (defined SUAVE || defined DIVONNE)
#define FRAMECOPY
#endif
Extern void SUFFIX(cubafork)(Spin **);
Extern void SUFFIX(cubawait)(Spin **);
/*********************************************************************/
static inline void DoSampleParallel(This *t, number n, creal *x, real *f
VES_ONLY(, creal *w, ccount iter))
{
char out[128];
Slice slice, rslice;
fd_set ready;
int core, abort, running = 0;
const fdpid *pfp;
Spin *spin = t->spin;
cint paccel = spin->spec.paccel;
cint naccel = IMin(spin->spec.naccel, (n + paccel - 1)/IMax(paccel, 1));
cnumber nrest = IDim(n - naccel*paccel);
cint ncores = IMin(spin->spec.ncores, nrest/MINSLICE);
number pcores = IMin(spin->spec.pcores, nrest/IMax(ncores, 1));
number nx = nrest - ncores*pcores;
if( nx >= ncores ) nx = 0;
t->neval += n;
if( VERBOSE > 2 ) {
sprintf(out, "sampling " NUMBER " points each on %d cores",
pcores, ncores);
Print(out);
}
slice.n = paccel;
slice.m = IMax(slice.n, pcores);
slice.i = 0;
VES_ONLY(slice.iter = iter;)
DIV_ONLY(slice.phase = t->phase;)
#ifdef DIVONNE
if( n > t->nframe ) {
FrameFree(t, Master);
t->nframe = n;
FrameAlloc(t, Master);
}
SHM_ONLY(slice.shmid = t->shmid;)
#endif
SHM_ONLY(if( t->shmid != -1 ) {
slice.m = n;
#ifdef FRAMECOPY
VES_ONLY(Copy(t->frame, w, n);)
Copy(t->frame + n*NW, x, n*t->ndim);
#endif
})
#define PutSamples(fd) do { \
slice.n = IMin(slice.n, n); \
MASTER("sending samples (sli:%lu[+" VES_ONLY(NUMBER "w:%lu+") \
NUMBER "x:%lu]) to fd %d", \
sizeof slice, VES_ONLY(slice.n, sizeof *w,) \
slice.n, t->ndim*sizeof *x, fd); \
writesock(fd, &slice, sizeof slice); \
SHM_ONLY(if( t->shmid == -1 )) { \
VES_ONLY(writesock(fd, w, slice.n*sizeof *w); \
w += slice.n;) \
writesock(fd, x, slice.n*t->ndim*sizeof *x); \
x += slice.n*t->ndim; \
} \
slice.i += slice.n; \
n -= slice.n; \
++running; \
} while( 0 )
#define GetSamples(fd) do { \
readsock(fd, &rslice, sizeof rslice); \
MASTER("reading samples (sli:%lu[+" NUMBER "f:%lu]) from fd %d", \
sizeof rslice, rslice.n, t->ncomp*sizeof *f, fd); \
if( rslice.n == -1 ) abort = 1; \
else SHM_ONLY(if( t->shmid == -1 )) \
readsock(fd, f + rslice.i*t->ncomp, rslice.n*t->ncomp*sizeof *f); \
--running; \
} while( 0 )
++pcores;
pfp = spin->fp;
for( core = -naccel; n && core < ncores; ++core ) {
cint fd = pfp++->fd;
pcores -= (core == nx);
slice.n = (core < 0) ? paccel : pcores;
PutSamples(fd);
}
abort = 0;
while( running ) {
int fdmax = 0;
FD_ZERO(&ready);
pfp = spin->fp;
for( core = -naccel; core < ncores; ++core ) {
cint fd = pfp++->fd;
FD_SET(fd, &ready);
fdmax = IMax(fdmax, fd);
}
fdmax = select(fdmax + 1, &ready, NULL, NULL, NULL);
pfp = spin->fp;
for( core = -naccel; core < ncores; ++core ) {
cint fd = pfp++->fd;
if( FD_ISSET(fd, &ready) ) {
GetSamples(fd);
if( abort ) break;
if( n ) PutSamples(fd);
if( --fdmax == 0 ) break;
}
}
}
if( abort ) longjmp(t->abort, -99);
#ifdef FRAMECOPY
if( t->shmid != -1 )
Copy(f, t->frame + slice.m*(NW + t->ndim), slice.m*t->ncomp);
#endif
}
/*********************************************************************/
static void DoSample(This *t, number n, creal *x, real *f
VES_ONLY(, creal *w, ccount iter))
{
if( t->spin == NULL ||
t->spin->spec.ncores + t->spin->spec.naccel < MINCORES ||
n < MINCORES*MINSLICE )
DoSampleSerial(t, n, x, f VES_ONLY(, w, iter));
else
DoSampleParallel(t, n, x, f VES_ONLY(, w, iter));
}
/*********************************************************************/
#ifdef DIVONNE
typedef struct {
number neval, neval_opt, neval_cut;
count nregions, iregion, retval;
} ExploreResult;
static inline int ExploreParallel(This *t, cint iregion)
{
Vector(Totals, totals, NCOMP);
csize_t regionsize = RegionSize;
Region *region;
Spin *spin = t->spin;
cint cores = spin->spec.naccel + spin->spec.ncores;
int core = t->running;
int ireg = iregion;
if( core >= ((iregion < 0) ? 1 : cores) ) {
fd_set ready;
int fd = 0, fdmax = 0;
ExploreResult res;
count comp, succ;
FD_ZERO(&ready);
for( core = 0; core < cores; ++core ) {
fd = spin->fp[core].fd;
FD_SET(fd, &ready);
fdmax = IMax(fd, fdmax);
}
select(fdmax + 1, &ready, NULL, NULL, NULL);
for( core = 0; core < cores; ++core ) {
fd = spin->fp[core].fd;
if( FD_ISSET(fd, &ready) ) break;
}
--t->running;
MASTER("reading res + region (res:%lu+reg:%lu) from fd %d",
sizeof res, regionsize, fd);
readsock(fd, &res, sizeof res);
ireg = res.iregion;
region = RegionPtr(ireg);
succ = ireg + region->next;
readsock(fd, region, regionsize);
if( --res.nregions > 0 ) {
region->next = t->nregions - ireg;
EnlargeRegions(t, res.nregions);
MASTER("reading regions (%dreg:%lu) from fd %d",
res.nregions, regionsize, fd);
readsock(fd, RegionPtr(t->nregions), res.nregions*regionsize);
t->nregions += res.nregions;
RegionPtr(t->nregions-1)->next = succ - t->nregions + 1;
}
MASTER("reading totals (tot:%lu) from fd %d",
t->ncomp*sizeof(Totals), fd);
readsock(fd, totals, t->ncomp*sizeof(Totals));
for( comp = 0; comp < t->ncomp; ++comp )
t->totals[comp].secondspread =
Max(t->totals[comp].secondspread, totals[comp].secondspread);
t->neval += res.neval;
t->neval_opt += res.neval_opt;
t->neval_cut += res.neval_cut;
if( res.retval == -1 ) return -1;
}
if( iregion >= 0 ) {
Slice slice;
cint fd = spin->fp[core].fd;
slice.n = 0;
slice.i = iregion;
slice.phase = t->phase;
region = RegionPtr(iregion);
MASTER("writing region (sli:%lu+sam:%lu+reg:%lu+tot:%lu) to fd %d",
sizeof slice, sizeof(Samples), regionsize,
t->ncomp*sizeof(Totals), fd);
writesock(fd, &slice, sizeof slice);
writesock(fd, &t->samples[region->isamples], sizeof(Samples));
writesock(fd, region, regionsize);
writesock(fd, t->totals, t->ncomp*sizeof(Totals));
region->depth = 0;
++t->running;
}
return ireg;
}
/*********************************************************************/
static int Explore(This *t, cint iregion)
{
if( t->spin == NULL ||
t->spin->spec.ncores + t->spin->spec.naccel < MINCORES )
return ExploreSerial(t, iregion);
else
return ExploreParallel(t, iregion);
}
#endif
/*********************************************************************/
static void Worker(This *t, const size_t alloc, cint core, cint fd)
{
Slice slice;
if( readsock(fd, &slice, sizeof slice) == sizeof slice &&
slice.n != -1 ) {
#ifdef DIVONNE
csize_t regionsize = RegionSize;
Vector(Totals, totals, NCOMP);
Spin spin = {{0, 0, 0, 0}}; /* no recursive forks */
t->totals = totals;
t->spin = &spin;
t->size = 2*t->ndim + 2;
AllocRegions(t);
#endif
if( alloc ) {
#ifndef DIVONNE
FrameAlloc(t, Worker);
#endif
#if defined DIVONNE || defined CUHRE
RuleAlloc(t);
#endif
}
#ifdef SUAVE
else SHM_ONLY(if( t->shmid == -1 ))
MemAlloc(t->frame, t->nframe*SAMPLESIZE);
#endif
if( cubafun_.initfun ) cubafun_.initfun(cubafun_.initarg, &core);
do {
number n = slice.n;
WORKER("received slice.n = " NUMBER, n);
DIV_ONLY(t->phase = slice.phase;)
if( n > 0 ) {
real VES_ONLY(*w,) *x, *f;
WORKER("reading samples (sli:%lu[+" VES_ONLY(NUMBER "w:%lu+")
NUMBER "x:%lu]) from fd %d",
sizeof slice, VES_ONLY(n, sizeof *w,) n, t->ndim*sizeof *x, fd);
#ifdef DIVONNE
if( slice.m > t->nframe ) {
FrameFree(t, Worker);
t->nframe = slice.m;
SHM_ONLY(t->shmid = slice.shmid;)
FrameAlloc(t, Worker);
}
#endif
VES_ONLY(w = t->frame;)
x = t->frame + slice.m*NW;
f = x + slice.m*t->ndim;
SHM_ONLY(if( t->shmid != -1 ) {
VES_ONLY(w += slice.i;)
x += slice.i*t->ndim;
f += slice.i*t->ncomp;
}
else) {
VES_ONLY(readsock(fd, w, n*sizeof *w);)
readsock(fd, x, n*t->ndim*sizeof *x);
}
slice.n |= SampleRaw(t, n, x, f, core VES_ONLY(, w, slice.iter));
WORKER("writing samples (sli:%lu[+" NUMBER "f:%lu]) to fd %d",
sizeof slice, slice.n, t->ncomp*sizeof *f, fd);
writesock(fd, &slice, sizeof slice);
if( SHM_ONLY(t->shmid == -1 &&) slice.n != -1 )
writesock(fd, f, slice.n*t->ncomp*sizeof *f);
}
#ifdef DIVONNE
else {
Samples *samples, psamples;
ExploreResult res;
WORKER("reading region (sli:%lu+sam:%lu+reg:%lu+tot:%lu) from fd %d",
sizeof slice, sizeof psamples, regionsize,
t->ncomp*sizeof(Totals), fd);
readsock(fd, &psamples, sizeof psamples);
readsock(fd, t->region, regionsize);
readsock(fd, totals, t->ncomp*sizeof(Totals));
t->nregions = 1;
t->neval = t->neval_opt = t->neval_cut = 0;
samples = &t->samples[RegionPtr(0)->isamples];
if( psamples.n != samples->n ) {
SamplesFree(samples);
*samples = psamples;
SamplesAlloc(t, samples);
}
res.retval = ExploreSerial(t, 0);
res.neval = t->neval;
res.neval_opt = t->neval_opt;
res.neval_cut = t->neval_cut;
res.nregions = t->nregions;
res.iregion = slice.i;
WORKER("writing regions (res:%lu+%dreg:%lu+tot:%lu) to fd %d",
sizeof res, t->nregions, regionsize,
t->ncomp*sizeof(Totals), fd);
writesock(fd, &res, sizeof res);
writesock(fd, t->region, t->nregions*regionsize);
writesock(fd, totals, t->ncomp*sizeof(Totals));
}
#endif
} while( readsock(fd, &slice, sizeof slice) == sizeof slice &&
slice.n != -1 );
if( cubafun_.exitfun ) cubafun_.exitfun(cubafun_.exitarg, &core);
#if defined DIVONNE || defined CUHRE
RuleFree(t);
#endif
FrameFree(t, Worker);
#ifdef DIVONNE
free(t->region);
#endif
}
WORKER("worker wrapping up");
}
/*********************************************************************/
static inline void ForkCores(This *t)
{
dispatch d;
const fdpid *pfp;
int ncores, core;
DIV_ONLY(t->running = 0;)
d.worker = Worker;
d.thisptr = t;
d.thissize = sizeof *t;
if( t->spin == NULL ) {
SUFFIX(cubafork)(&t->spin);
if( t->spin == NULL ) return;
d.thissize = 0;
}
pfp = t->spin->fp;
ncores = t->spin->spec.ncores;
for( core = -t->spin->spec.naccel; core < ncores; ++core ) {
cint fd = pfp++->fd;
writesock(fd, &d, sizeof d);
if( d.thissize ) writesock(fd, t, d.thissize);
}
}
/*********************************************************************/
static inline void WaitCores(This *t, Spin **pspin)
{
if( Invalid(pspin) ) SUFFIX(cubawait)(&t->spin);
else {
Slice slice = { .n = -1 };
cint cores = t->spin->spec.naccel + t->spin->spec.ncores;
const fdpid *pfp = t->spin->fp;
int core;
for( core = 0; core < cores; ++core )
writesock(pfp[core].fd, &slice, sizeof slice);
*pspin = t->spin;
MasterExit();
}
}

View File

@ -1,7 +1,7 @@
/*
Random.c
quasi- and pseudo-random-number generation
last modified 7 Aug 13 th
last modified 18 Mar 14 th
*/
@ -88,14 +88,13 @@ static inline void SobolIni(This *t)
299, 1, 3, 3, 9, 9, 25, 107, 39 };
count dim, bit, nbits;
number max, *pini = ini;
cnumber nmax = 2*t->maxeval;
number *pini = ini, max;
for( nbits = 0, max = 1; max <= nmax; max <<= 1 ) ++nbits;
t->rng.sobol.norm = 1./max;
for( nbits = 0, max = t->maxeval; max; max >>= 1 ) ++nbits;
t->rng.sobol.norm = ldexp(.5, -nbits);
for( bit = 0; bit < nbits; ++bit )
t->rng.sobol.v[0][bit] = (max >>= 1);
for( bit = 0; bit <= nbits; ++bit )
t->rng.sobol.v[0][bit] = (number)1 << (nbits - bit);
for( dim = 1; dim < t->ndim; ++dim ) {
number *pv = t->rng.sobol.v[dim], *pvv = pv;
@ -103,10 +102,10 @@ static inline void SobolIni(This *t)
int inibits = -1, bit;
for( j = powers; j; j >>= 1 ) ++inibits;
memcpy(pv, pini, inibits*sizeof(*pini));
memcpy(pv, pini, inibits*sizeof *pini);
pini += 8;
for( bit = inibits; bit < nbits; ++bit ) {
for( bit = inibits; bit <= nbits; ++bit ) {
number newv = *pvv, j = powers;
int b;
for( b = 0; b < inibits; ++b ) {
@ -117,8 +116,8 @@ static inline void SobolIni(This *t)
++pvv;
}
for( bit = 0; bit < nbits - 1; ++bit )
pv[bit] <<= nbits - bit - 1;
for( bit = 0; bit < nbits; ++bit )
pv[bit] <<= nbits - bit;
}
t->rng.sobol.seq = 0;

View File

@ -1,37 +0,0 @@
/*
WorkerIni.c
set/run the init/exit functions for worker processes
by Thomas Hahn
last modified 6 Sep 12 th
*/
#include "stddecl.h"
extern workerini cubaini;
Extern void SUFFIX(cubasetinit)(subroutine f, void *arg)
{
cubaini.initfun = f;
cubaini.initarg = arg;
}
Extern void SUFFIX(cubasetexit)(subroutine f, void *arg)
{
cubaini.exitfun = f;
cubaini.exitarg = arg;
}
Extern void SUFFIX(cubaruninit)()
{
if( cubaini.initfun ) cubaini.initfun(cubaini.initarg);
}
Extern void SUFFIX(cubarunexit)()
{
if( cubaini.exitfun ) cubaini.exitfun(cubaini.exitarg);
}

65
src/external/libCuba/src/common/sock.h vendored Normal file
View File

@ -0,0 +1,65 @@
/*
sock.h
socket read/write
by Thomas Hahn
last modified 27 May 14 th
*/
#include <sys/socket.h>
#ifdef DEBUG
#define TERM_RED "\e[31m"
#define TERM_BLUE "\e[34m"
#define TERM_RESET "\e[0m\n"
#define MASTER(s, ...) \
fprintf(stderr, TERM_RED ROUTINE " master %d(%d): " s TERM_RESET, core, getpid(), ##__VA_ARGS__)
#define WORKER(s, ...) \
fprintf(stderr, TERM_BLUE ROUTINE " worker %d(%d): " s TERM_RESET, core, getpid(), ##__VA_ARGS__)
#define DEB_ONLY(...) __VA_ARGS__
#else
#define MASTER(s, ...)
#define WORKER(s, ...)
#define DEB_ONLY(...)
#endif
#ifdef LOW_LEVEL_DEBUG
#define TERM_GREEN "\e[32m"
#define TERM_MAGENTA "\e[35m"
#define READ(s, ...) \
fprintf(stderr, TERM_GREEN ROUTINE " pid %d: read " s TERM_RESET, getpid(), ##__VA_ARGS__)
#define WRITE(s, ...) \
fprintf(stderr, TERM_MAGENTA ROUTINE " pid %d: write " s TERM_RESET, getpid(), ##__VA_ARGS__)
#else
#define READ(s, ...)
#define WRITE(s, ...)
#endif
/*********************************************************************/
#ifndef MSG_WAITALL
/* Windows */
#define MSG_WAITALL 0
#endif
static inline int readsock(cint fd, void *data, csize_t n)
{
ssize_t got;
size_t remain = n;
do got = recv(fd, data, remain, MSG_WAITALL);
while( got > 0 && (data += got, remain -= got) > 0 );
READ("%lu bytes at %p from fd %d", n, data, fd);
return got;
}
/*********************************************************************/
static inline int writesock(cint fd, const void *data, csize_t n)
{
ssize_t got;
size_t remain = n;
do got = send(fd, data, remain, MSG_WAITALL);
while( got > 0 && (data += got, remain -= got) > 0 );
WRITE("%lu bytes at %p to fd %d", n, data, fd);
return got;
}

View File

@ -1,7 +1,7 @@
/*
stddecl.h
declarations common to all Cuba routines
last modified 17 Sep 13 th
last modified 23 Apr 15 th
*/
@ -12,8 +12,7 @@
#include "config.h"
#endif
#define _BSD_SOURCE
#define _XOPEN_SOURCE
#define _DEFAULT_SOURCE
#include <stdio.h>
#include <stdlib.h>
@ -30,6 +29,7 @@
#ifdef HAVE_FORK
#include <sys/wait.h>
#include <sys/socket.h>
#include <signal.h>
#ifdef HAVE_SHMGET
#include <sys/ipc.h>
#include <sys/shm.h>
@ -83,10 +83,31 @@ void *alloca (size_t);
#define SAMPLESIZE (NW + t->ndim + t->ncomp)*sizeof(real)
enum { uninitialized = 0x61627563 };
#define EnvInit(var, name, default) \
if( var == uninitialized ) { \
cchar *env = getenv(name); \
if( env == NULL ) var = default; \
else { \
var = atoi(env); \
if( cubaverb_ ) { \
char out[64]; \
sprintf(out, "env " name " = %d", (int)var); \
Print(out); \
} \
} \
}
#define VerboseInit() EnvInit(cubaverb_, "CUBAVERBOSE", 0)
#define MaxVerbose(flags) (flags + IDim(IMin(cubaverb_, 3) - ((flags) & 3)))
#define VERBOSE (t->flags & 3)
#define LAST (t->flags & 4)
#define SHARPEDGES (t->flags & 8)
#define KEEPFILE (t->flags & 16)
#define ZAPSTATE (t->flags & 32)
#define REGIONS (t->flags & 128)
#define RNG (t->flags >> 8)
@ -120,7 +141,7 @@ void *alloca (size_t);
#define Zap(d) memset(d, 0, sizeof(d))
#define MaxErr(avg) Max(t->epsrel*fabs(avg), t->epsabs)
#define MaxErr(avg) Max(t->epsrel*fabsx(avg), t->epsabs)
#ifdef __cplusplus
#define mallocset(p, n) (*(void **)&p = malloc(n))
@ -157,8 +178,21 @@ void *alloca (size_t);
#ifdef MLVERSION
#define ML_ONLY(...) __VA_ARGS__
#define ML_NOT(...)
#else
#define ML_ONLY(...)
#define ML_NOT(...) __VA_ARGS__
#define CORE_MASTER (int []){32768}
#define MasterInit() do if( !cubafun_.init ) { \
cubafun_.init = true; \
if( cubafun_.initfun ) cubafun_.initfun(cubafun_.initarg, CORE_MASTER); \
} while( 0 )
#define MasterExit() do if( cubafun_.init ) { \
cubafun_.init = false; \
if( cubafun_.exitfun ) cubafun_.exitfun(cubafun_.exitarg, CORE_MASTER); \
} while( 0 )
#define Invalid(s) ((s) == NULL || *(int *)(s) == -1)
#ifdef HAVE_FORK
#undef FORK_ONLY
@ -168,37 +202,40 @@ void *alloca (size_t);
#undef SHM_ONLY
#define SHM_ONLY(...) __VA_ARGS__
#define ShmMap(t, ...) if( t->shmid != -1 ) { \
t->frame = shmat(t->shmid, NULL, 0); \
if( t->frame == (void *)-1 ) Abort("shmat"); \
__VA_ARGS__ \
}
#define ShmRm(t) shmctl(t->shmid, IPC_RMID, NULL);
#define MasterAlloc(t) \
t->shmid = shmget(IPC_PRIVATE, t->nframe*SAMPLESIZE, IPC_CREAT | 0600)
#define MasterFree(t) shmctl(t->shmid, IPC_RMID, NULL)
#define WorkerAlloc(t)
#define WorkerFree(r)
#undef ShmAlloc
#define ShmAlloc(t, ...) \
t->shmid = shmget(IPC_PRIVATE, t->nframe*SAMPLESIZE, IPC_CREAT | 0600); \
ShmMap(t, __VA_ARGS__)
#define ShmAlloc(t, who) \
who##Alloc(t); \
if( t->shmid != -1 ) { \
t->frame = shmat(t->shmid, NULL, 0); \
if( t->frame == (void *)-1 ) Abort("shmat"); \
}
#undef ShmFree
#define ShmFree(t, ...) if( t->shmid != -1 ) { \
shmdt(t->frame); \
__VA_ARGS__ \
}
#define ShmFree(t, who) \
if( t->shmid != -1 ) { \
shmdt(t->frame); \
who##Free(t); \
}
#endif
#endif
#endif
#define FrameAlloc(t, ...) \
SHM_ONLY(ShmAlloc(t, __VA_ARGS__) else) \
#define FrameAlloc(t, who) \
SHM_ONLY(ShmAlloc(t, who) else) \
MemAlloc(t->frame, t->nframe*SAMPLESIZE);
#define FrameFree(t, ...) DIV_ONLY(if( t->nframe )) { \
SHM_ONLY(ShmFree(t, __VA_ARGS__) else) \
free(t->frame); \
}
#define FrameFree(t, who) \
DIV_ONLY(if( t->nframe )) { \
SHM_ONLY(ShmFree(t, who) else) \
free(t->frame); \
}
#define StateDecl \
@ -219,7 +256,9 @@ struct stat st
typedef long long int signature_t;
#define StateSignature(t, i) (0x41425543 + \
enum { signature = 0x41425543 };
#define StateSignature(t, i) (signature + \
((signature_t)(i) << 60) + \
((signature_t)(t)->ncomp << 48) + \
((signature_t)(t)->ndim << 32))
@ -306,39 +345,100 @@ typedef const count ccount;
#define PREFIX(s) ll##s
#define NUMBER "%lld"
#define NUMBER7 "%7lld"
#define NUMBER_MAX LLONG_MAX
typedef long long int number;
#else
#define PREFIX(s) s
#define NUMBER "%d"
#define NUMBER7 "%7d"
#define NUMBER_MAX INT_MAX
typedef int number;
#endif
typedef const number cnumber;
#define REAL "%g"
#define REALF "%f"
typedef /*long*/ double real;
/* Switching to long double is not as trivial as it
might seem here. sqrt, erf, exp, pow need to be
replaced by their long double versions (sqrtl, ...),
printf formats need to be updated similarly, and
ferrying long doubles to Mathematica is of course
quite another matter, too. */
#define SHOW(r) (double)(r)
/* floating-point numbers are printed with SHOW */
#if REALSIZE == 16
#include <quadmath.h>
typedef __float128 real;
#define RC(x) x##Q
#define sqrtx sqrtq
#define expx expq
#define powx powq
#define erfx erfq
#define fabsx fabsq
#define ldexpx ldexpq
#define REAL_MAX_EXP FLT128_MAX_EXP
#define REAL_MAX FLT128_MAX
#elif REALSIZE == 10
typedef long double real;
#define RC(x) x##L
#define sqrtx sqrtl
#define expx expl
#define powx powl
#define erfx erfl
#define fabsx fabsl
#define ldexpx ldexpl
#define REAL_MAX_EXP LDBL_MAX_EXP
#define REAL_MAX LDBL_MAX
#define MLPutRealxList MLPutReal128List
#define MLGetRealxList MLGetReal128List
#define MLReleaseRealxList MLReleaseReal128List
#else
typedef double real;
#define RC(x) x
#define sqrtx sqrt
#define expx exp
#define powx pow
#define erfx erf
#define fabsx fabs
#define ldexpx ldexp
#define REAL_MAX_EXP DBL_MAX_EXP
#define REAL_MAX DBL_MAX
#define MLPutRealxList MLPutReal64List
#define MLGetRealxList MLGetReal64List
#define MLReleaseRealxList MLReleaseReal64List
#endif
typedef const real creal;
typedef void (*subroutine)();
typedef void (*subroutine)(void *, cint *);
typedef struct {
subroutine initfun;
void *initarg;
subroutine exitfun;
void *exitarg;
} workerini;
bool init;
} coreinit;
typedef struct {
int ncores, naccel;
int pcores, paccel;
} corespec;
typedef struct {
int fd, pid;
} fdpid;
typedef struct {
corespec spec;
fdpid fp[];
} Spin;
struct _this;
typedef struct {
void (*worker)(struct _this *, csize_t, cint, cint);
struct _this *thisptr;
size_t thissize;
} dispatch;
typedef unsigned int state_t;
#define SOBOL_MINDIM 1
@ -407,7 +507,7 @@ static inline real Max(creal a, creal b) {
}
static inline real Weight(creal sum, creal sqsum, cnumber n) {
creal w = sqrt(sqsum*n);
creal w = sqrtx(sqsum*n);
return (n - 1)/Max((w + sum)*(w - sum), NOTZERO);
}
@ -452,7 +552,7 @@ static inline void Print(MLCONST char *s)
#else
#define Print(s) puts(s); fflush(stdout)
#define Print(s) { puts(s); fflush(stdout); }
#endif

View File

@ -2,116 +2,122 @@
cuba.h
Prototypes for the Cuba library
this file is part of Cuba
last modified 30 Apr 13 th
last modified 13 Mar 15 th
*/
typedef double cubareal;
/* integrand_t is intentionally a minimalistic integrand type.
It includes neither the nvec and core arguments nor the
extra arguments passed by Vegas/Suave (weight, iter) and
Divonne (phase).
In most cases, integrand_t is just what you want, otherwise
simply use an explicit typecast to integrand_t in the Cuba
invocation. */
typedef int (*integrand_t)(const int *ndim, const cubareal x[],
const int *ncomp, cubareal f[], void *userdata);
typedef void (*peakfinder_t)(const int *ndim, const cubareal b[],
int *n, cubareal x[], void *userdata);
#ifdef __cplusplus
extern "C" {
#endif
/* NB: Divonne actually passes a fifth argument, a const int *
which points to the integration phase. This is used only
rarely and most users are confused by the warnings the
compiler emits if the `correct' prototype is used. Thus,
if you need to access this argument, use an explicit cast
to integrand_t when invoking Divonne. */
typedef int (*integrand_t)(const int *ndim, const double x[],
const int *ncomp, double f[], void *userdata);
typedef void (*peakfinder_t)(const int *ndim, const double b[],
int *n, double x[]);
void Vegas(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const int mineval, const int maxeval,
const int nstart, const int nincrease, const int nbatch,
const int gridno, const char *statefile,
const int gridno, const char *statefile, void *spin,
int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void llVegas(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const long long int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const long long int mineval, const long long int maxeval,
const long long int nstart, const long long int nincrease,
const long long int nbatch,
const int gridno, const char *statefile,
const int gridno, const char *statefile, void *spin,
long long int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void Suave(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const int mineval, const int maxeval,
const int nnew, const double flatness,
const char *statefile,
const int nnew, const int nmin,
const cubareal flatness, const char *statefile, void *spin,
int *nregions, int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void llSuave(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const long long int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const long long int mineval, const long long int maxeval,
const long long int nnew, const double flatness,
const char *statefile,
const long long int nnew, const long long int nmin,
const cubareal flatness, const char *statefile, void *spin,
int *nregions, long long int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void Divonne(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const int mineval, const int maxeval,
const int key1, const int key2, const int key3, const int maxpass,
const double border, const double maxchisq, const double mindeviation,
const int ngiven, const int ldxgiven, double xgiven[],
const cubareal border, const cubareal maxchisq, const cubareal mindeviation,
const int ngiven, const int ldxgiven, cubareal xgiven[],
const int nextra, peakfinder_t peakfinder,
const char *statefile,
const char *statefile, void *spin,
int *nregions, int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void llDivonne(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const long long int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int seed,
const long long int mineval, const long long int maxeval,
const int key1, const int key2, const int key3, const int maxpass,
const double border, const double maxchisq, const double mindeviation,
const long long int ngiven, const int ldxgiven, double xgiven[],
const long long int nextra,
void (*peakfinder)(const int *, const double [], int *, double []),
const char *statefile,
const cubareal border, const cubareal maxchisq, const cubareal mindeviation,
const long long int ngiven, const int ldxgiven, cubareal xgiven[],
const long long int nextra, peakfinder_t peakfinder,
const char *statefile, void *spin,
int *nregions, long long int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void Cuhre(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags, const int mineval, const int maxeval,
const int key,
const char *statefile,
const char *statefile, void *spin,
int *nregions, int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void llCuhre(const int ndim, const int ncomp,
integrand_t integrand, void *userdata,
const double epsrel, const double epsabs,
integrand_t integrand, void *userdata, const long long int nvec,
const cubareal epsrel, const cubareal epsabs,
const int flags,
const long long int mineval, const long long int maxeval,
const int key,
const char *statefile,
const char *statefile, void *spin,
int *nregions, long long int *neval, int *fail,
double integral[], double error[], double prob[]);
cubareal integral[], cubareal error[], cubareal prob[]);
void cubasetinit(void (*)(), void *);
void cubasetexit(void (*)(), void *);
void cubaruninit(void);
void cubaruninit(void);
void cubafork(void *pspin);
void cubawait(void *pspin);
void cubacores(const int n, const int p);
void cubaaccel(const int n, const int p);
void cubainit(void (*f)(), void *arg);
void cubaexit(void (*f)(), void *arg);
#ifdef __cplusplus
}

View File

@ -0,0 +1,32 @@
#--- cuhre --------------------------------------------------------------------
#--- obj lib creation ---------------------------------------------------------
add_library(cuhre OBJECT
Cuhre.c
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
cuhre BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../common>
)
#--- check for pre compile flags ----------------------------------------------
set(COMP_DEF "-DHAVE_CONFIG_H")
set(COMP_DEF ${COMP_DEF} "-DNOUNDERSCORE")
set(COMP_DEF ${COMP_DEF} "-Dcubafun_=libCuhrecubafun_")
target_compile_definitions(
cuhre PRIVATE ${COMP_DEF}
)
set(COMP_OPT "-O3")
set(COMP_OPT ${COMP_OPT} "-fomit-frame-pointer")
set(COMP_OPT ${COMP_OPT} "-ffast-math")
set(COMP_OPT ${COMP_OPT} "-fPIC")
target_compile_options(
cuhre PRIVATE ${COMP_OPT}
)

View File

@ -2,7 +2,7 @@
Cuhre.c
Adaptive integration using cubature rules
by Thomas Hahn
last modified 17 Sep 13 th
last modified 22 Jul 14 th
*/
@ -15,55 +15,70 @@
/*********************************************************************/
Extern void EXPORT(Cuhre)(ccount ndim, ccount ncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber nvec,
creal epsrel, creal epsabs,
cint flags, cnumber mineval, cnumber maxeval,
ccount key, cchar *statefile,
ccount key, cchar *statefile, Spin **pspin,
count *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob)
{
This t;
VerboseInit();
t.ndim = ndim;
t.ncomp = ncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = nvec;
t.epsrel = epsrel;
t.epsabs = epsabs;
t.flags = flags;
t.flags = MaxVerbose(flags);
t.mineval = mineval;
t.maxeval = maxeval;
t.key = key;
t.statefile = statefile;
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}
/*********************************************************************/
Extern void EXPORT(cuhre)(ccount *pndim, ccount *pncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber *pnvec,
creal *pepsrel, creal *pepsabs,
cint *pflags, cnumber *pmineval, cnumber *pmaxeval,
ccount *pkey, cchar *statefile,
ccount *pkey, cchar *statefile, Spin **pspin,
count *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob, cint statefilelen)
{
This t;
VerboseInit();
t.ndim = *pndim;
t.ncomp = *pncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = *pnvec;
t.epsrel = *pepsrel;
t.epsabs = *pepsabs;
t.flags = *pflags;
t.flags = MaxVerbose(*pflags);
t.mineval = *pmineval;
t.maxeval = *pmaxeval;
t.key = *pkey;
CString(t.statefile, statefile, statefilelen);
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}

View File

@ -3,7 +3,7 @@
integrate over the unit hypercube
this file is part of Cuhre
checkpointing by B. Chokoufe
last modified 17 Sep 13 th
last modified 14 Mar 15 th
*/
@ -11,6 +11,9 @@
typedef struct pool {
struct pool *next;
#if REALSIZE > 8
void *dummy; /* for alignment */
#endif
char region[];
} Pool;
@ -42,12 +45,14 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
if( VERBOSE > 1 ) {
sprintf(out, "Cuhre input parameters:\n"
" ndim " COUNT "\n ncomp " COUNT "\n"
ML_NOT(" nvec " NUMBER "\n")
" epsrel " REAL "\n epsabs " REAL "\n"
" flags %d\n mineval " NUMBER "\n maxeval " NUMBER "\n"
" key " COUNT "\n"
" statefile \"%s\"",
t->ndim, t->ncomp,
t->epsrel, t->epsabs,
ML_NOT(t->nvec,)
SHOW(t->epsrel), SHOW(t->epsabs),
t->flags, t->mineval, t->maxeval,
t->key,
t->statefile);
@ -61,7 +66,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
RuleAlloc(t);
t->mineval = IMax(t->mineval, t->rule.n + 1);
FrameAlloc(t, ShmRm(t));
FrameAlloc(t, Master);
ForkCores(t);
if( (fail = setjmp(t->abort)) ) goto abort;
@ -125,7 +130,8 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
for( tot = state->totals, comp = 0; tot < Tot; ++tot )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL " \tchisq " REAL " (" COUNT " df)",
++comp, tot->avg, tot->err, tot->chisq, t->nregions - 1);
++comp, SHOW(tot->avg), SHOW(tot->err),
SHOW(tot->chisq), t->nregions - 1);
Print(out);
}
@ -188,7 +194,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
tot->lastavg += diff = resL->avg + resR->avg - res->avg;
diff = fabs(.25*diff);
diff = fabsx(.25*diff);
err = resL->err + resR->err;
if( err > 0 ) {
creal c = 1 + 2*diff/err;
@ -213,7 +219,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
}
else {
tot->avg = avg;
tot->err = sqrt(sigsq);
tot->err = sqrtx(sigsq);
}
}
++t->nregions;
@ -249,13 +255,13 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
Result *Res;
MLPutFunction(stdlink, "Cuba`Cuhre`region", 2);
MLPutRealList(stdlink, (real *)region->bounds, 2*t->ndim);
MLPutRealxList(stdlink, (real *)region->bounds, 2*t->ndim);
MLPutFunction(stdlink, "List", t->ncomp);
for( Res = (res = RegionResult(region)) + t->ncomp;
res < Res; ++res ) {
real r[] = {res->avg, res->err};
MLPutRealList(stdlink, r, Elements(r));
MLPutRealxList(stdlink, r, Elements(r));
}
}
}
@ -266,9 +272,7 @@ abort:
cur = cur->next;
free(pool);
}
WaitCores(t);
FrameFree(t);
FrameFree(t, Master);
RuleFree(t);
StateRemove(t);

View File

@ -3,7 +3,7 @@
c_sources = Cuhre.c
AM_CPPFLAGS = -I. -I.. -I../common -DNOUNDERSCORE
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS)
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS) "-Dcubafun_=libCuhrecubafun_"
AM_LDFLAGS = $(LOCAL_LIB_LDFLAGS)
noinst_LTLIBRARIES = libcuhre.la

View File

@ -4,11 +4,12 @@
code lifted with minor modifications from DCUHRE
by J. Berntsen, T. Espelid, and A. Genz
this file is part of Cuhre
last modified 5 Aug 13 th
last modified 7 May 15 th
*/
#define NextSet(p) p = (Set *)((char *)p + setsize)
#define IndexSet(p, n) ((Set *)((char *)p + n*setsize))
/*********************************************************************/
@ -153,7 +154,7 @@ static void Rule13Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -298,7 +299,7 @@ static void Rule11Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -309,32 +310,55 @@ static void Rule11Alloc(This *t)
static void Rule9Alloc(This *t)
{
static creal w[] = {
-.0023611709677855117884, .11415390023857325268,
-.63833920076702389094, .74849988504685208004,
-.0014324017033399125142, .057471507864489725949,
-.14225104571434243234, -.062875028738286979989,
.254591133248959089, -1.207328566678236261,
.89567365764160676508, -.36479356986049146661,
.0035417564516782676826, -.072609367395893679605,
.10557491625218991012, .0021486025550098687713,
-.032268563892953949998, .010636783990231217481,
.014689102496143490175, .51134708346467591431,
.45976448120806344646, .18239678493024573331,
-.04508628929435784076, .21415883524352793401,
-.027351546526545644722, .054941067048711234101,
.11937596202570775297, .65089519391920250593,
.14744939829434460168, .057693384490973483573,
.034999626602143583822, -1.3868627719278281436,
-.2386668732575008879, .015532417276607053264,
.0035328099607090870236, .09231719987444221619,
.02254314464717892038, .013675773263272822361,
-.32544759695960125297, .0017708782258391338413,
.0010743012775049343856, .25150011495314791996 };
RC(-.002361170967785511788400941242259231309691),
RC(.1141539002385732526821323741697655347686),
RC(-.6383392007670238909386026193674701393074),
RC(.7484998850468520800423030047583803945205),
RC(-.001432401703339912514196154599769007103671),
RC(.05747150786448972594860897296200006759892),
RC(-.1422510457143424323449521620935950679394),
RC(-.06287502873828697998942424881040490136987),
RC(.2545911332489590890011611142429070613156),
RC(-1.207328566678236261002219995185143356737),
RC(.8956736576416067650809467826488567200939),
RC(-.3647935698604914666100134551377381205297),
RC(.003541756451678267682601411863388846964536),
RC(-.07260936739589367960492815865074633743652),
RC(.1055749162521899101218622863269817454540),
RC(.002148602555009868771294231899653510655506),
RC(-.03226856389295394999786630399875134318006),
RC(.01063678399023121748083624225818915724455),
RC(.01468910249614349017540783437728097691502),
RC(.5113470834646759143109387357149329909126),
RC(.4597644812080634464633352781605214342691),
RC(.1823967849302457333050067275688690602649),
RC(-.04508628929435784075980562738240804429658),
RC(.2141588352435279340097929526588394300172),
RC(-.02735154652654564472203690086290223507436),
RC(.05494106704871123410060080562462135546101),
RC(.1193759620257077529708962121565290178730),
RC(.6508951939192025059314756320878023215278),
RC(.1474493982943446016775696826942585013243),
RC(.05769338449097348357291272840392627722165),
RC(.03499962660214358382244159694487155861542),
RC(-1.386862771927828143599782668709014266770),
RC(-.2386668732575008878964134721962088068396),
RC(.01553241727660705326386197156586357005224),
RC(.003532809960709087023561817517751309380604),
RC(.09231719987444221619017126187763868745587),
RC(.02254314464717892037990281369120402214829),
RC(.01367577326327282236101845043145111753718),
RC(-.3254475969596012529657378160439011607639),
RC(.001770878225839133841300705931694423482268),
RC(.001074301277504934385647115949826755327753),
RC(.2515001149531479199576969952416196054795) };
static creal g[] = {
.47795365790226950619, .20302858736911986780,
.44762735462617812882, .125,
.34303789878087814570 };
RC(.4779536579022695061928604197171830064732),
RC(.2030285873691198677998034402373279133258),
RC(.4476273546261781288207704806530998539285),
RC(.125),
RC(.3430378987808781457001426145164678603407) };
enum { nsets = 9 };
@ -440,7 +464,7 @@ static void Rule9Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -451,21 +475,33 @@ static void Rule9Alloc(This *t)
static void Rule7Alloc(This *t)
{
static creal w[] = {
.019417866674748388428, -.40385257701150182546,
.64485668767465982223, .01177982690775806141,
-.18041318740733609012, -.088785828081335044443,
.056328645808285941374, -.0097089333373741942142,
-.99129176779582358138, -.17757165616267008889,
.12359398032043233572, .074978148702033690681,
.55489147051423559776, .088041241522692771226,
.021118358455513385083, -.0099302203239653333087,
-.064100053285010904179, .030381729038221007659,
.0058899134538790307051, -.0048544666686870971071,
.35514331232534017777 };
RC(.01941786667474838842844534313920462333850),
RC(-.4038525770115018254611834753723880293161),
RC(.6448566876746598222277360730193089551024),
RC(.01177982690775806141012214458820955067854),
RC(-.1804131874073360901182293138710989490609),
RC(-.08878582808133504444306598174517276122439),
RC(.05632864580828594137378124255408286479947),
RC(-.009708933337374194214222671569602311669249),
RC(-.9912917677958235813775106862002319060386),
RC(-.1775716561626700888861319634903455224488),
RC(.1235939803204323357183625846672135876752),
RC(.07497814870203369068087999555157339703666),
RC(.5548914705142355977605994477355651401434),
RC(.08804124152269277122645182458858273865209),
RC(.02111835845551338508329573367808085283304),
RC(-.009930220323965333308685820460105538586058),
RC(-.06410005328501090417895544042025034295870),
RC(.03038172903822100765927778829870429682489),
RC(.005889913453879030705061072294104775339268),
RC(-.004854466668687097107111335784801155834624),
RC(.3551433123253401777722639269806910448976) };
static creal g[] = {
.47795365790226950619, .20302858736911986780,
.375, .34303789878087814570 };
RC(.4779536579022695061928604197171830064732),
RC(.2030285873691198677998034402373279133258),
RC(.375),
RC(.3430378987808781457001426145164678603407) };
enum { nsets = 6 };
@ -541,7 +577,7 @@ static void Rule7Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -630,7 +666,8 @@ static void Sample(This *t, Region *region)
Bounds *b, *B = region->bounds + t->ndim;
Result *result = RegionResult(region), *res, *Res = result + t->ncomp;
creal *errcoeff = t->rule.errcoeff;
creal ratio = Sq(first[2].gen[0]/first[1].gen[0]);
creal ratio = Sq(IndexSet(first,2)->gen[0]/
IndexSet(first,1)->gen[0]);
ccount offset = 2*t->ndim*t->ncomp;
count dim, rul, n, maxdim = 0;
@ -659,7 +696,7 @@ static void Sample(This *t, Region *region)
for( dim = 0; dim < t->ndim; ++dim ) {
creal *fp = f1 + t->ncomp;
creal *fm = fp + t->ncomp;
creal fourthdiff = fabs(base +
creal fourthdiff = fabsx(base +
ratio*(fp[0] + fm[0]) - (fp[offset] + fm[offset]));
f1 = fm;
if( fourthdiff > maxdiff ) {
@ -688,7 +725,7 @@ static void Sample(This *t, Region *region)
real maxerr = 0;
for( s = first; s <= last; NextSet(s) )
maxerr = Max(maxerr,
fabs(sum[rul + 1] + s->scale[rul]*sum[rul])*s->norm[rul]);
fabsx(sum[rul + 1] + s->scale[rul]*sum[rul])*s->norm[rul]);
sum[rul] = maxerr;
}
@ -712,7 +749,7 @@ static void Sample(This *t, Region *region)
for( res = result, comp = 0; res < Res; ++res )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL, ++comp, res->avg, res->err);
REAL " +- " REAL, ++comp, SHOW(res->avg), SHOW(res->err));
Print(out);
}

View File

@ -2,7 +2,7 @@
decl.h
Type declarations
this file is part of Cuhre
last modified 26 Jul 13 th
last modified 21 Jul 14 th
*/
@ -47,16 +47,18 @@ typedef struct {
typedef const Rule cRule;
typedef int (*Integrand)(ccount *, creal *, ccount *, real *, void *);
typedef int (*Integrand)(ccount *, creal *, ccount *, real *,
void *, cnumber *, cint *);
typedef struct _this {
count ndim, ncomp;
#ifndef MLVERSION
Integrand integrand;
void *userdata;
number nvec;
#ifdef HAVE_FORK
int ncores, *child;
SHM_ONLY(int shmid;)
Spin *spin;
#endif
#endif
real *frame;

View File

@ -0,0 +1,32 @@
#--- divonne ------------------------------------------------------------------
#--- obj lib creation ---------------------------------------------------------
add_library(divonne OBJECT
Divonne.c
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
divonne BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../common>
)
#--- check for pre compile flags ----------------------------------------------
set(COMP_DEF "-DHAVE_CONFIG_H")
set(COMP_DEF ${COMP_DEF} "-DNOUNDERSCORE")
set(COMP_DEF ${COMP_DEF} "-Dcubafun_=libDivonnecubafun_")
target_compile_definitions(
divonne PRIVATE ${COMP_DEF}
)
set(COMP_OPT "-O3")
set(COMP_OPT ${COMP_OPT} "-fomit-frame-pointer")
set(COMP_OPT ${COMP_OPT} "-ffast-math")
set(COMP_OPT ${COMP_OPT} "-fPIC")
target_compile_options(
divonne PRIVATE ${COMP_OPT}
)

View File

@ -4,7 +4,7 @@
originally by J.H. Friedman and M.H. Wright
(CERNLIB subroutine D151)
this version by Thomas Hahn
last modified 17 Sep 13 th
last modified 22 Jul 14 th
*/
#define DIVONNE
@ -16,7 +16,7 @@
/*********************************************************************/
Extern void EXPORT(Divonne)(ccount ndim, ccount ncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber nvec,
creal epsrel, creal epsabs,
cint flags, cint seed,
cnumber mineval, cnumber maxeval,
@ -24,18 +24,22 @@ Extern void EXPORT(Divonne)(ccount ndim, ccount ncomp,
creal border, creal maxchisq, creal mindeviation,
cnumber ngiven, ccount ldxgiven, real *xgiven,
cnumber nextra, PeakFinder peakfinder,
cchar *statefile,
cchar *statefile, Spin **pspin,
int *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob)
{
This t;
VerboseInit();
t.ndim = ndim;
t.ncomp = ncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = nvec;
t.epsrel = epsrel;
t.epsabs = epsabs;
t.flags = flags;
t.flags = MaxVerbose(flags);
t.seed = seed;
t.mineval = mineval;
t.maxeval = maxeval;
@ -52,16 +56,19 @@ Extern void EXPORT(Divonne)(ccount ndim, ccount ncomp,
t.nextra = nextra;
t.peakfinder = peakfinder;
t.statefile = statefile;
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}
/*********************************************************************/
Extern void EXPORT(divonne)(ccount *pndim, ccount *pncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber *pnvec,
creal *pepsrel, creal *pepsabs,
cint *pflags, cint *pseed,
cnumber *pmineval, cnumber *pmaxeval,
@ -69,18 +76,22 @@ Extern void EXPORT(divonne)(ccount *pndim, ccount *pncomp,
creal *pborder, creal *pmaxchisq, creal *pmindeviation,
cnumber *pngiven, ccount *pldxgiven, real *xgiven,
cnumber *pnextra, PeakFinder peakfinder,
cchar *statefile,
cchar *statefile, Spin **pspin,
int *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob, cint statefilelen)
{
This t;
VerboseInit();
t.ndim = *pndim;
t.ncomp = *pncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = *pnvec;
t.epsrel = *pepsrel;
t.epsabs = *pepsabs;
t.flags = *pflags;
t.flags = MaxVerbose(*pflags);
t.seed = *pseed;
t.mineval = *pmineval;
t.maxeval = *pmaxeval;
@ -97,9 +108,12 @@ Extern void EXPORT(divonne)(ccount *pndim, ccount *pncomp,
t.nextra = *pnextra;
t.peakfinder = peakfinder;
CString(t.statefile, statefile, statefilelen);
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}

View File

@ -2,7 +2,7 @@
Explore.c
sample region, determine min and max, split if necessary
this file is part of Divonne
last modified 2 Aug 13 th
last modified 12 Mar 15 th
*/
@ -19,10 +19,11 @@ static int ExploreSerial(This *t, ccount iregion)
Region *region = RegionPtr(iregion);
cBounds *bounds = region->bounds;
Result *result = RegionResult(region);
real *minmax = RegionMinMax(region);
Vector(Extrema, extrema, NCOMP);
Vector(real, xtmp, NDIM);
Result *r, *r0;
Result *r;
creal *x;
real *f;
real halfvol, maxerr;
@ -102,7 +103,7 @@ skip:
ftmp = FindMinimum(t, bounds, xtmp, e->fmin);
if( ftmp < r->fmin ) {
r->fmin = ftmp;
XCopy(&r->xminmax[0], xtmp);
XCopy(&minmax[2*comp*t->ndim], xtmp);
}
t->selectedcomp = Tag(comp);
@ -110,12 +111,12 @@ skip:
ftmp = -FindMinimum(t, bounds, xtmp, -e->fmax);
if( ftmp > r->fmax ) {
r->fmax = ftmp;
XCopy(&r->xminmax[t->ndim], xtmp);
XCopy(&minmax[(2*comp + 1)*t->ndim], xtmp);
}
}
r->spread = halfvol*(r->fmax - r->fmin);
err = r->spread/Max(fabs(r->avg), NOTZERO);
err = r->spread/Max(fabsx(r->avg), NOTZERO);
if( err > maxerr ) {
maxerr = err;
maxcomp = comp;
@ -130,22 +131,22 @@ skip:
}
region->cutcomp = maxcomp;
r0 = RegionResult(region);
r = r0 + maxcomp;
r = RegionResult(region) + maxcomp;
if( halfvol*(r->fmin + r->fmax) > r->avg ) {
region->fminor = r->fmin;
region->fmajor = r->fmax;
region->xmajor = &r->xminmax[t->ndim] - (real *)r0;
region->xmajor = (2*maxcomp + 1)*t->ndim;
}
else {
region->fminor = r->fmax;
region->fmajor = r->fmin;
region->xmajor = &r->xminmax[0] - (real *)r0;
region->xmajor = 2*maxcomp*t->ndim;
}
if( region->isamples == 0 ) {
if( (region->depth < INIDEPTH && r->spread < samples->neff*r->err) ||
r->spread < t->totals[maxcomp].secondspread ) region->depth = 0;
r->spread < t->totals[maxcomp].secondspread )
region->depth = 0;
if( region->depth == 0 )
for( comp = 0; comp < t->ncomp; ++comp )
t->totals[comp].secondspread =

View File

@ -2,7 +2,7 @@
FindMinimum.c
find minimum (maximum) of hyperrectangular region
this file is part of Divonne
last modified 7 Aug 13 th
last modified 12 Mar 15 th
*/
@ -42,7 +42,7 @@ static inline real Dot(ccount n, creal *a, creal *b)
static inline real Length(ccount n, creal *vec)
{
return sqrt(Dot(n, vec, vec));
return sqrtx(Dot(n, vec, vec));
}
/*********************************************************************/
@ -120,7 +120,7 @@ static void UpdateCholesky(cThis *t, ccount n, real *hessian,
p[i] = dir;
gamma += Sq(dir)/Hessian(i, i);
}
gamma = Max(fabs(1 - gamma), EPS);
gamma = Max(fabsx(1 - gamma), EPS);
while( --i >= 0 ) {
creal dir = z[i] = p[i];
@ -154,7 +154,7 @@ static inline void BFGS(cThis *t, ccount n, real *hessian,
c = Dot(n, g, p);
if( c >= 0 ) return;
c = 1/sqrt(-c);
c = 1/sqrtx(-c);
for( i = 0; i < n; ++i )
y[i] = c*g[i];
UpdateCholesky(t, n, hessian, y, p);
@ -199,7 +199,7 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
c) the gradient is positive, i.e. we'd move uphill */
if( step > 0 && range > tol2 && grad <= 0 ) {
creal eps = RTEPS*fabs(range) + ftol;
creal eps = RTEPS*fabsx(range) + ftol;
creal mingrad = -1e-4*grad, maxgrad = -gtol*grad;
real end = range + eps;
@ -225,7 +225,7 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
maxstep = maxstep*(1 + .75*RTEPS) + .75*tol;
}
cur.dx = (fabs(step) >= tol) ? step : (step > 0) ? tol : -tol;
cur.dx = (fabsx(step) >= tol) ? step : (step > 0) ? tol : -tol;
dist = distmin + cur.dx;
for( i = 0; i < nfree; ++i ) {
ccount dim = ifree[i];
@ -248,7 +248,7 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
if( cur.dx < 0 ) b = w;
else a = w;
tol = RTEPS*fabs(distmin) + ftol;
tol = RTEPS*fabsx(distmin) + ftol;
tol2 = tol + tol;
}
else {
@ -260,14 +260,14 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
if( distmin + b.dx <= xtol ) break;
if( min.f < fini &&
a.f - min.f <= fabs(a.dx)*maxgrad &&
(fabs(distmin - range) > tol || maxstep < b.dx) ) break;
a.f - min.f <= fabsx(a.dx)*maxgrad &&
(fabsx(distmin - range) > tol || maxstep < b.dx) ) break;
mid = .5*(a.dx + b.dx);
if( fabs(mid) <= tol2 - .5*(b.dx - a.dx) ) break;
if( fabsx(mid) <= tol2 - .5*(b.dx - a.dx) ) break;
r = q = s = 0;
if( fabs(end) > tol ) {
if( fabsx(end) > tol ) {
if( first ) {
creal s1 = w.dx*grad;
creal s2 = w.f - min.f;
@ -281,7 +281,7 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
q = 2*(s2 - s1);
}
if( q > 0 ) s = -s;
q = fabs(q);
q = fabsx(q);
r = end;
if( step != b1 || b.dx <= maxstep ) end = step;
}
@ -290,15 +290,15 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
else if( b.dx > maxstep ) step = (step < b.dx) ? -4*a.dx : maxstep;
else {
real num = a.dx, den = b.dx;
if( fabs(b.dx) <= tol || (w.dx > 0 && fabs(a.dx) > tol) )
if( fabsx(b.dx) <= tol || (w.dx > 0 && fabsx(a.dx) > tol) )
num = b.dx, den = a.dx;
num /= -den;
step = (num < 1) ? .5*den*sqrt(num) : 5/11.*den*(.1 + 1/num);
step = (num < 1) ? .5*den*sqrtx(num) : 5/11.*den*(.1 + 1/num);
}
if( step > 0 ) a1 = a.dx, b1 = step;
else a1 = step, b1 = b.dx;
if( fabs(s) < fabs(.5*q*r) && s > q*a1 && s < q*b1 ) {
if( fabsx(s) < fabsx(.5*q*r) && s > q*a1 && s < q*b1 ) {
step = s/q;
if( step - a.dx < tol2 || b.dx - step < tol2 )
step = (mid > 0) ? tol : -tol;
@ -307,7 +307,7 @@ static Point LineSearch(This *t, ccount nfree, ccount *ifree,
}
first = true;
if( fabs(distmin - range) < tol ) {
if( fabsx(distmin - range) < tol ) {
distmin = range;
if( maxstep > b.dx ) first = false;
}
@ -372,7 +372,7 @@ static real LocalSearch(This *t, ccount nfree, ccount *ifree,
or we come close to a border. */
XCopy(y, x);
ftest = SUFTOL*(1 + fabs(fx));
ftest = SUFTOL*(1 + fabsx(fx));
delta = RTDELTA/5;
do {
delta = Min(5*delta, smax);
@ -381,7 +381,7 @@ static real LocalSearch(This *t, ccount nfree, ccount *ifree,
y[dim] = x[dim] + delta*p[i];
}
fy = Sample(t, y);
if( fabs(fy - fx) > ftest ) break;
if( fabsx(fy - fx) > ftest ) break;
} while( delta != smax );
/* Construct a second direction p' orthogonal to p, i.e. p.p' = 0.
@ -425,7 +425,7 @@ static real LocalSearch(This *t, ccount nfree, ccount *ifree,
or we come close to a border. */
XCopy(z, y);
ftest = SUFTOL*(1 + fabs(fy));
ftest = SUFTOL*(1 + fabsx(fy));
delta = RTDELTA/5;
do {
delta = Min(5*delta, smax);
@ -434,7 +434,7 @@ static real LocalSearch(This *t, ccount nfree, ccount *ifree,
z[dim] = y[dim] + delta*p[i];
}
fz = Sample(t, z);
if( fabs(fz - fy) > ftest ) break;
if( fabsx(fz - fy) > ftest ) break;
} while( delta != smax );
if( fy != fz ) {
@ -541,12 +541,12 @@ static real FindMinimum(This *t, cBounds *b, real *xmin, real fmin)
bool resample = false;
nfree = nfix = 0;
for( dim = 0; dim < t->ndim; ++dim ) {
if( xmin[dim] < b[dim].lower + (1 + fabs(b[dim].lower))*QEPS ) {
if( xmin[dim] < b[dim].lower + (1 + fabsx(b[dim].lower))*QEPS ) {
xmin[dim] = b[dim].lower;
ifix[nfix++] = dim;
resample = true;
}
else if( xmin[dim] > b[dim].upper - (1 + fabs(b[dim].upper))*QEPS ) {
else if( xmin[dim] > b[dim].upper - (1 + fabsx(b[dim].upper))*QEPS ) {
xmin[dim] = b[dim].upper;
ifix[nfix++] = Tag(dim);
resample = true;
@ -562,7 +562,7 @@ static real FindMinimum(This *t, cBounds *b, real *xmin, real fmin)
if( local || Length(nfree, gfree) > GTOL ) break;
ftmp = LocalSearch(t, nfree, ifree, b, xmin, fmin, tmp);
if( ftmp > fmin - (1 + fabs(fmin))*RTEPS )
if( ftmp > fmin - (1 + fabsx(fmin))*RTEPS )
goto releasebounds;
fmin = ftmp;
XCopy(xmin, tmp);
@ -586,7 +586,7 @@ static real FindMinimum(This *t, cBounds *b, real *xmin, real fmin)
minstep = INFTY;
for( i = 0; i < nfree; ++i ) {
count dim = Untag(ifree[i]);
if( fabs(p[i]) > EPS ) {
if( fabsx(p[i]) > EPS ) {
real step;
count fix;
if( p[i] < 0 ) {
@ -642,11 +642,11 @@ fixbound:
BFGS(t, nfree, hessian, tmp, gfree, p, low.dx);
XCopy(gfree, tmp);
if( fabs(low.dx - minstep) < QEPS*minstep ) goto fixbound;
if( fabsx(low.dx - minstep) < QEPS*minstep ) goto fixbound;
fdiff = fini - fmin;
fini = fmin;
if( fdiff > (1 + fabs(fmin))*FTOL ||
if( fdiff > (1 + fabsx(fmin))*FTOL ||
low.dx*plen > (1 + Length(t->ndim, xmin))*FTOL ) continue;
}
}

View File

@ -5,7 +5,7 @@
then do a main integration over all regions
this file is part of Divonne
checkpointing by B. Chokoufe
last modified 5 Aug 13 th
last modified 13 Mar 15 th
*/
@ -29,8 +29,8 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
Totals *tot, *Tot = state->totals + t->ncomp;
Bounds *b, *B;
Result *res;
count comp, err, iregion;
number nwant;
count comp, iregion;
number nwant, err;
real nneed;
ML_ONLY(number neff;)
int fail;
@ -38,6 +38,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
if( VERBOSE > 1 ) {
sprintf(out, "Divonne input parameters:\n"
" ndim " COUNT "\n ncomp " COUNT "\n"
ML_NOT(" nvec " NUMBER "\n")
" epsrel " REAL "\n epsabs " REAL "\n"
" flags %d\n seed %d\n"
" mineval " NUMBER "\n maxeval " NUMBER "\n"
@ -46,11 +47,12 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
" ngiven " NUMBER "\n nextra " NUMBER "\n"
" statefile \"%s\"",
t->ndim, t->ncomp,
t->epsrel, t->epsabs,
ML_NOT(t->nvec,)
SHOW(t->epsrel), SHOW(t->epsabs),
t->flags, t->seed,
t->mineval, t->maxeval,
t->key1, t->key2, t->key3, t->maxpass,
t->border.lower, t->maxchisq, t->mindeviation,
SHOW(t->border.lower), SHOW(t->maxchisq), SHOW(t->mindeviation),
t->ngiven, t->nextra,
t->statefile);
Print(out);
@ -132,7 +134,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
/* Step 1: partition the integration region */
if( t->phase == 1 ) {
if( VERBOSE ) Print("Partitioning phase:");
if( VERBOSE ) Print("\nPartitioning phase:");
if( ini ) Iterate(t, 0, INIDEPTH, 0, NULL);
@ -164,7 +166,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
integral[comp] = tot->avg;
valid += tot->avg == tot->avg;
if( tot->spreadsq > maxtot->spreadsq ) maxtot = tot;
tot->spread = sqrt(tot->spreadsq);
tot->spread = sqrtx(tot->spreadsq);
error[comp] = tot->spread/t->samples[0].neff;
}
@ -197,7 +199,7 @@ if( StateWriteTest(t) ) { \
for( comp = 0; comp < t->ncomp; ++comp )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL,
comp + 1, integral[comp], error[comp]);
comp + 1, SHOW(integral[comp]), SHOW(error[comp]));
Print(out);
}
@ -230,7 +232,7 @@ if( StateWriteTest(t) ) { \
tot->maxerrsq = Sq(maxerr);
tot->mindevsq = tot->maxerrsq*Sq(t->mindeviation);
}
nwant = (number)Min(ceil(nneed), MARKMASK/40.);
nwant = (number)Min(ceil(nneed), NWANTMAX/40.);
err = SamplesLookup(t, &t->samples[1], t->key2, nwant,
(t->maxeval - t->neval)/t->nregions + 1, t->samples[0].n + 1);
@ -308,11 +310,11 @@ refine:
Iterate(t, state->iregion, POSTDEPTH, 1, state->totals);
if( can_adjust ) {
cnumber nnew = (tot->spreadsq/Sq(MARKMASK) > tot->maxerrsq) ?
MARKMASK :
(number)ceil(sqrt(tot->spreadsq/tot->maxerrsq));
cnumber nnew = (tot->spreadsq/Sq(NWANTMAX) > tot->maxerrsq) ?
NWANTMAX :
(number)ceil(sqrtx(tot->spreadsq/tot->maxerrsq));
if( nnew > nwant + nwant/64 ) {
ccount err = SamplesLookup(t, &t->samples[1], t->key2, nnew,
cnumber err = SamplesLookup(t, &t->samples[1], t->key2, nnew,
(t->maxeval - t->neval)/t->nregions + 1, t->samples[1].n);
fail += Unmark(err)*t->nregions;
nwant = nnew;
@ -404,14 +406,14 @@ refine:
if( chisq > EPS ) chisq /= Max(chiden, NOTZERO);
if( VERBOSE > 2 ) {
#define Out2(f, r) (r)->avg, res->spread/t->samples[f].neff, (r)->err
#define Out2(f, r) SHOW((r)->avg), SHOW(res->spread/t->samples[f].neff), SHOW((r)->err)
#define Out(f) Out2(f, &tot->phase[f])
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL "(" REAL ")\n "
REAL " +- " REAL "(" REAL ")", ++comp, Out(0), Out(1));
if( todo == 3 ) oe += sprintf(oe, "\n "
REAL " +- " REAL "(" REAL ")", Out2(2, res));
oe += sprintf(oe, " \tchisq " REAL, chisq);
oe += sprintf(oe, " \tchisq " REAL, SHOW(chisq));
}
tot->integral += avg;
@ -419,7 +421,7 @@ refine:
tot->chisq += chisq;
res->avg = avg;
res->spread = sqrt(sigsq);
res->spread = sqrtx(sigsq);
res->chisq = chisq;
}
@ -433,7 +435,7 @@ refine:
for( tot = state->totals, comp = 0; tot < Tot; ++tot, ++comp ) {
integral[comp] = tot->integral;
error[comp] = sqrt(tot->sigsq);
error[comp] = sqrtx(tot->sigsq);
prob[comp] = ChiSquare(tot->chisq, df);
}
@ -442,7 +444,8 @@ refine:
for( tot = state->totals, comp = 0; tot < Tot; ++tot, ++comp )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL " \tchisq " REAL " (" COUNT " df)",
comp + 1, integral[comp], error[comp], tot->chisq, df);
comp + 1, SHOW(integral[comp]), SHOW(error[comp]),
SHOW(tot->chisq), df);
Print(out);
}
@ -468,12 +471,12 @@ refine:
MLPutFunction(stdlink, "Cuba`Divonne`region", 4);
MLPutRealList(stdlink, bounds, 2*t->ndim);
MLPutRealxList(stdlink, bounds, 2*t->ndim);
MLPutFunction(stdlink, "List", t->ncomp);
for( Res = (res = RegionResult(region)) + t->ncomp; res < Res; ++res ) {
real r[] = {res->avg, res->spread/neff, res->chisq};
MLPutRealList(stdlink, r, Elements(r));
MLPutRealxList(stdlink, r, Elements(r));
}
MLPutInteger(stdlink, region->depth + 1); /* misused for df */
@ -482,8 +485,7 @@ refine:
#endif
abort:
WaitCores(t);
FORK_ONLY(FrameFree(t, ShmRm(t));)
FORK_ONLY(FrameFree(t, Master);)
RuleFree(t);
SamplesFree(&t->samples[2]);

View File

@ -2,7 +2,7 @@
Iterate.c
recursion over regions
this file is part of Divonne
last modified 2 Aug 13 th
last modified 12 Mar 15 th
*/
@ -85,10 +85,10 @@ FORK_ONLY(more:)
norm = 1./nsplit--;
for( res = RegionResult(parent), c = corr; c < C; ++res, ++c ) {
creal diff = fabs(res->avg - c->avg)*norm;
creal diff = fabsx(res->avg - c->avg)*norm;
c->avg = diff*norm*nsplit;
c->err = (c->err == 0) ? 1 : 1 + diff/c->err;
c->spread = (c->spread == 0) ? 1 : 1 + diff/sqrt(c->spread);
c->spread = (c->spread == 0) ? 1 : 1 + diff/sqrtx(c->spread);
}
for( td = todo; td < tdmax; ++td )

File diff suppressed because it is too large Load Diff

View File

@ -0,0 +1,267 @@
#define KOROBOV_MINDIM 2
#define KOROBOV_MAXDIM 33
#define MAXPRIME 2423
#define Hash(x) ((4973 - x)*(-47 + x))/25245
static int prime[] = {
FIRST,47,53,59,61,67,73,79,83,89,97,101,103,109,113,127,131,137,139,149,
151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,
251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,
359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,
463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,
593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,
701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,
827,829,839,853,857,859,863,877,881,887,907,911,919,929,937,941,947,953,
967,971,977,983,991,997,1009,1019,1021,1033,1039,1051,1061,1069,1087,
1091,1097,1103,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,
1217,1229,1237,1249,1259,1277,1279,1289,1297,1307,1319,1327,1361,1367,
1373,1381,1399,1409,1423,1427,1429,1439,1453,1459,1481,1489,1499,1511,
1523,1543,1553,1567,1579,1597,1607,1621,1637,1657,1663,1669,1697,1709,
1723,1741,1759,1777,1789,1811,1831,1847,1867,1889,1907,1931,1951,1973,
1999,2027,2053,2081,2111,2143,2179,2221,2269,2333,MarkLast(2423)
};
static short coeff[][32] = {
{13,11,10,3,9,2,2,2,2,9,2,2,7,2,2,2,2,2,2,6,2,2,2,13,11,10,3,9,2,2,2,2},
{23,17,12,11,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,12,14,14,14},
{18,14,5,14,2,2,19,19,25,25,18,18,18,2,2,2,2,2,2,2,2,2,2,2,25,6,2,2,2,18,14,5},
{17,21,7,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,17,7},
{18,13,23,5,2,12,6,12,12,12,10,10,16,2,16,16,2,2,2,2,2,2,2,10,2,2,2,2,10,2,2,2},
{27,14,10,14,2,4,13,2,2,16,4,4,4,6,6,6,6,6,6,25,25,31,31,15,31,2,2,31,15,14,14,6},
{29,19,27,32,6,8,2,2,2,2,2,8,8,2,2,2,2,9,9,9,9,2,2,2,2,2,2,2,9,9,2,2},
{30,19,24,16,22,8,2,2,22,5,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{34,28,13,28,27,27,2,4,2,2,2,16,16,4,20,20,36,20,36,5,5,5,36,36,5,5,5,7,5,7,7,2},
{35,19,33,8,21,30,8,2,4,2,4,4,2,2,2,2,2,2,2,2,2,17,2,2,11,25,11,17,17,17,17,17},
{39,40,15,21,11,26,13,2,2,13,2,2,2,2,2,2,2,2,2,2,26,26,2,2,2,2,2,2,2,2,2,2},
{37,21,35,29,27,19,19,2,2,2,5,15,2,2,15,15,19,19,19,19,19,2,2,2,2,2,19,2,2,2,2,2},
{45,44,13,25,17,47,30,2,30,2,2,2,2,2,2,2,2,2,19,19,19,17,17,2,2,2,2,2,2,2,2,2},
{35,22,37,9,35,12,35,8,2,2,50,50,2,2,32,32,32,31,13,8,8,8,2,22,50,9,9,9,22,22,22,10},
{29,24,43,36,49,2,2,8,4,25,49,25,2,2,8,10,10,10,5,5,5,40,10,33,40,40,2,27,10,25,25,25},
{50,18,32,39,21,2,2,2,4,4,36,36,14,14,14,14,2,2,2,17,17,17,16,16,2,14,14,14,14,2,2,2},
{31,28,45,20,18,43,43,13,28,2,2,2,31,31,31,31,31,2,2,2,43,43,2,2,2,2,2,2,2,2,30,2},
{39,15,41,7,24,2,2,30,40,2,2,25,25,25,25,2,2,2,2,2,2,6,6,2,25,2,5,2,2,25,2,2},
{44,20,29,39,7,21,21,21,2,2,45,2,2,2,49,49,49,49,49,2,2,2,2,2,2,2,2,2,2,2,2,2},
{56,20,22,13,18,35,35,6,2,4,2,4,2,2,2,23,16,16,4,23,2,34,52,2,34,2,4,2,2,2,23,16},
{46,32,17,18,29,27,31,31,31,2,2,4,15,2,2,2,2,2,2,2,2,2,2,2,2,2,23,32,32,32,15,15},
{62,42,43,17,23,13,13,2,2,13,2,2,2,2,2,2,2,10,2,2,2,2,9,10,2,2,2,19,9,9,9,9},
{46,49,49,52,27,7,20,2,2,6,6,13,13,13,2,13,13,2,2,2,2,2,2,34,34,2,2,2,2,2,2,2},
{64,34,16,28,16,51,47,2,2,2,6,18,39,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,2},
{74,26,44,25,50,24,54,39,58,42,2,42,42,2,2,2,2,2,2,2,2,33,33,2,2,39,11,2,2,58,39,58},
{70,22,50,22,16,9,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{74,21,17,25,35,33,10,2,10,20,20,57,57,57,2,2,57,2,2,2,2,2,2,2,13,2,2,2,2,2,2,2},
{81,18,10,11,47,38,71,37,2,37,2,2,2,2,2,26,26,26,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{71,68,68,27,71,39,81,44,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{55,30,85,42,16,36,45,67,2,2,68,2,2,2,2,2,2,2,68,10,2,2,2,2,2,2,2,2,2,2,2,2},
{64,17,24,26,49,12,10,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,59,2,2},
{68,57,23,38,61,38,13,13,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,68,15,2,44,44,44,2,2,2},
{94,28,58,29,13,5,15,8,66,2,2,2,39,39,15,66,2,2,6,6,2,2,66,66,66,66,2,2,2,2,2,66},
{94,85,9,41,41,37,29,29,17,2,2,2,7,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8},
{89,32,75,77,77,13,2,30,30,2,2,2,2,2,2,2,2,2,2,67,67,2,2,2,2,2,2,2,2,8,19,32},
{70,45,58,63,67,10,72,72,70,6,2,36,2,70,70,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{101,33,76,13,45,63,2,2,6,19,2,2,32,32,32,32,32,65,2,63,63,11,11,11,19,19,19,19,9,63,63,63},
{70,89,44,37,19,45,2,2,2,8,10,8,54,54,80,80,80,80,80,2,116,2,116,2,2,80,40,51,100,100,8,2},
{71,54,83,51,42,98,2,2,8,8,14,30,93,22,15,15,30,30,30,44,44,44,2,2,22,22,22,117,44,11,11,11},
{109,37,51,113,17,10,2,2,17,17,55,2,55,55,55,55,55,55,2,2,2,57,48,48,55,55,2,2,55,2,2,55},
{75,38,68,89,11,52,2,2,81,39,2,38,2,2,2,2,2,2,2,2,2,2,2,19,2,2,2,2,2,2,2,2},
{80,38,62,66,39,59,2,36,48,33,2,2,41,2,48,48,2,2,2,2,2,2,48,2,2,2,2,2,2,2,2,2},
{81,84,35,34,20,93,2,12,12,12,2,96,2,96,96,2,96,2,2,2,2,2,2,2,2,2,2,2,2,56,56,56},
{109,72,60,96,67,32,85,84,27,91,91,2,10,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{104,32,56,46,77,11,35,35,24,56,19,2,2,2,78,2,2,75,2,2,2,2,78,2,2,2,2,2,2,2,2,2},
{81,103,25,35,28,15,20,20,20,2,2,2,2,20,20,20,107,107,2,2,2,2,2,2,2,2,2,2,2,2,13,13},
{119,75,42,29,74,23,54,36,39,2,2,4,4,19,19,2,2,2,2,2,2,2,2,54,2,2,2,2,2,2,2,54},
{115,73,22,102,75,138,16,73,50,16,2,50,2,2,2,133,2,2,2,2,2,2,2,2,2,2,2,2,2,33,33,33},
{119,48,66,51,14,22,20,20,2,2,2,2,2,60,2,2,2,2,2,2,2,2,60,2,2,2,2,2,2,60,2,65},
{121,94,80,29,51,69,42,36,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,17,2,2},
{129,123,41,79,43,34,24,11,2,2,4,2,2,2,2,75,16,16,16,75,75,75,16,16,16,25,2,99,2,2,75,16},
{128,33,35,68,22,8,62,94,2,2,2,62,62,2,98,2,2,4,98,2,2,32,81,32,32,32,98,98,98,98,98,98},
{101,109,154,15,57,6,27,36,2,2,37,37,2,2,2,2,2,2,2,107,2,2,2,107,107,2,2,2,2,2,2,2},
{106,40,24,38,61,118,106,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{149,111,58,79,127,13,41,33,27,16,30,2,61,2,72,2,2,2,2,2,2,2,2,2,2,2,2,75,75,2,2,2},
{105,92,43,156,25,53,57,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{99,40,62,67,66,29,99,99,99,78,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,79},
{109,42,96,95,66,41,103,84,13,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{111,72,16,89,25,86,117,29,14,14,2,2,2,2,2,60,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{106,72,49,94,140,44,97,157,75,2,2,4,123,123,2,2,123,123,123,123,2,2,2,2,2,2,2,2,2,2,2,2},
{115,67,74,32,43,50,21,36,135,36,85,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{151,71,157,42,41,37,80,27,18,2,2,2,2,2,2,2,2,2,2,2,2,2,115,128,128,128,128,128,32,2,128,80},
{119,91,38,30,92,44,32,76,22,2,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,129,2,2,129,2,2,2},
{121,126,31,52,120,37,57,10,171,2,2,2,2,35,35,35,2,2,97,97,97,97,97,97,97,35,35,35,97,97,97,2},
{155,86,49,104,87,94,64,45,61,91,91,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{164,121,44,166,47,33,7,15,13,2,2,122,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{128,120,133,17,71,52,25,107,42,21,21,2,2,2,2,4,4,96,2,9,9,2,9,94,94,94,94,94,94,94,94,96},
{179,82,157,76,61,35,13,90,197,2,69,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39},
{136,136,148,63,66,10,169,95,95,163,30,28,28,2,41,130,2,2,2,21,2,2,2,2,2,2,2,2,2,2,2,36},
{131,40,112,63,55,30,53,79,79,79,2,79,2,2,2,2,2,79,2,2,2,2,14,36,2,21,21,21,21,2,2,91},
{165,81,92,48,9,110,12,40,40,34,2,2,2,107,107,107,2,107,2,2,2,2,2,2,2,2,2,2,2,15,41,41},
{169,66,170,97,35,56,55,86,32,32,2,2,2,2,14,2,40,2,37,2,2,37,40,40,40,2,2,2,37,37,37,37},
{135,63,126,156,70,18,49,143,6,117,2,109,109,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{179,104,117,56,132,56,190,130,130,15,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{193,59,51,68,68,15,170,170,170,143,143,12,2,2,2,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{145,101,56,65,23,76,110,2,4,4,4,146,146,146,2,146,2,2,2,2,2,2,2,2,2,2,2,2,2,2,146,146},
{144,129,26,98,36,46,47,52,52,52,82,2,2,2,2,2,17,2,2,2,2,2,2,2,2,2,2,2,2,91,2,2},
{145,78,166,171,56,20,63,2,2,33,33,33,33,2,78,47,47,47,47,47,2,2,2,2,2,78,78,78,2,2,2,2},
{191,69,176,54,47,75,167,2,2,2,188,188,188,30,30,2,67,67,117,2,117,117,117,2,2,36,2,2,2,2,2,2},
{186,96,29,122,47,96,170,157,157,157,157,108,159,2,195,195,26,26,26,26,26,2,2,2,2,132,132,132,2,2,2,2},
{151,118,226,91,54,49,33,2,2,2,2,4,4,4,143,143,2,2,143,25,25,25,2,143,143,143,143,143,143,143,143,143},
{144,91,237,82,81,75,138,163,163,163,117,117,44,2,44,136,136,136,136,2,2,2,2,2,122,122,122,122,2,2,2,136},
{189,78,178,64,118,27,189,2,2,67,67,110,110,110,110,2,28,28,2,2,2,2,2,2,2,102,2,2,2,2,2,2},
{165,202,83,76,125,65,42,2,44,44,23,2,23,23,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{209,204,92,75,85,146,104,2,7,18,8,2,2,2,204,95,95,95,2,2,2,95,95,95,95,95,95,95,2,2,2,95},
{169,68,89,16,193,82,33,262,262,175,148,148,148,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{171,162,78,43,61,17,112,10,171,182,118,33,2,2,2,2,118,2,2,2,2,2,2,151,2,2,2,2,2,2,2,2},
{211,121,119,55,90,211,96,89,225,25,178,36,36,36,2,2,108,2,2,2,2,2,2,2,2,2,2,2,2,184,2,2},
{154,101,83,17,16,210,41,79,70,158,2,27,27,2,2,2,2,2,2,2,2,2,2,2,2,153,2,2,2,2,2,2},
{169,179,130,79,148,180,136,17,47,119,2,119,119,169,169,2,169,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{241,171,148,31,172,34,66,60,156,140,2,2,2,75,75,2,2,2,2,2,2,2,190,190,2,2,2,30,2,2,2,2},
{229,189,183,106,118,138,82,149,265,39,2,2,265,2,2,2,2,2,2,130,2,2,2,71,71,2,2,2,71,2,2,71},
{165,157,127,21,64,15,80,130,130,130,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,74,2},
{221,130,203,84,83,83,29,121,54,54,2,141,2,2,94,94,94,4,4,4,2,4,2,2,2,54,54,108,16,16,94,52},
{230,166,20,160,121,102,153,94,16,67,2,2,2,2,2,2,97,97,97,2,2,97,97,2,97,97,97,97,97,97,97,97},
{181,79,137,119,139,24,77,17,50,25,25,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,242,192,40,41,62,124,193,193,31,193,2,2,2,2,2,2,2,2,2,2,2,2,148,2,2,2,2,2,2,2,2},
{239,178,73,122,239,51,95,48,78,88,78,2,2,2,2,2,2,2,2,2,2,2,144,144,2,2,144,144,144,2,144,144},
{234,117,198,34,143,21,74,6,252,252,98,2,2,2,2,197,38,2,2,2,2,2,47,2,47,47,47,47,2,2,2,47},
{179,110,38,28,58,39,16,29,42,125,202,8,8,129,4,4,2,2,2,67,67,2,2,2,2,2,2,8,67,67,2,2},
{246,53,189,50,18,59,179,179,7,137,137,2,2,103,103,103,103,40,40,40,2,2,2,2,73,73,73,2,103,103,103,103},
{239,133,87,92,193,12,206,238,238,238,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{191,244,60,193,18,32,193,104,74,125,125,66,2,2,2,2,2,2,2,2,2,2,125,125,2,125,125,125,2,2,2,2},
{177,74,90,91,172,219,63,84,32,2,2,196,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{253,143,54,39,122,32,75,107,234,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{282,89,71,88,30,23,81,105,105,2,2,105,105,131,107,2,2,2,2,2,195,195,2,2,29,29,21,21,128,195,195,195},
{259,115,171,40,156,71,67,24,24,2,2,2,24,4,4,4,2,234,2,2,2,2,2,2,2,2,2,74,74,2,2,2},
{264,237,49,203,247,108,75,75,75,2,2,32,16,8,16,16,16,164,14,164,2,2,32,16,8,16,16,32,42,42,42,2},
{264,106,89,51,29,226,23,286,286,151,151,151,151,151,2,2,2,2,2,2,31,31,31,2,2,2,2,2,2,2,2,284},
{194,215,82,23,213,23,108,127,74,2,201,32,178,2,285,2,2,2,2,285,2,2,2,2,2,2,2,2,2,2,2,2},
{196,267,251,111,231,14,30,52,95,2,154,53,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{266,67,22,101,102,157,53,95,130,2,42,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{281,205,107,178,236,122,122,316,76,215,215,2,60,2,2,2,2,2,2,227,2,2,2,2,2,2,2,2,27,2,2,2},
{271,89,65,195,132,162,102,45,56,174,104,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{200,169,170,121,155,68,131,167,78,113,113,2,2,64,2,2,2,2,2,2,2,2,2,2,2,2,2,173,2,2,2,2},
{288,143,265,264,71,19,231,169,27,27,27,2,2,2,2,2,2,2,2,2,2,2,2,2,51,2,2,2,2,2,2,2},
{311,141,96,173,90,119,134,151,35,252,39,2,39,39,2,2,2,2,2,2,2,2,2,113,113,2,2,2,2,2,2,113},
{311,230,52,138,225,346,162,216,216,91,160,182,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{275,167,128,244,184,184,44,210,237,139,139,139,139,2,2,2,2,2,2,2,2,2,2,73,2,2,2,2,2,2,2,2},
{176,156,83,135,46,197,108,63,33,33,33,2,133,2,213,213,213,213,133,133,2,133,2,2,133,133,2,2,2,2,2,2},
{283,125,141,192,89,181,106,208,124,124,2,112,112,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{289,191,171,152,191,173,54,13,21,56,56,56,2,2,2,2,2,2,2,2,2,220,2,2,2,2,2,2,2,2,2,2},
{334,305,132,132,99,126,54,116,164,105,2,105,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,287,2,2,2,2},
{240,166,44,193,153,333,15,99,246,99,2,2,99,99,2,2,2,2,195,195,195,2,195,195,2,263,263,2,195,195,195,263},
{246,194,265,79,225,65,24,62,46,181,2,2,2,314,2,2,2,2,2,2,2,215,2,2,2,2,2,2,2,2,2,2},
{229,334,285,302,21,26,24,97,64,40,2,2,2,231,231,231,231,65,2,148,2,2,2,2,2,2,2,2,2,2,2,2},
{251,295,55,249,135,173,164,78,261,261,2,2,2,2,114,2,2,2,2,2,256,142,142,2,2,2,2,2,2,2,2,185},
{232,153,55,60,181,79,107,70,29,35,2,2,58,58,2,58,2,2,2,2,61,61,2,61,61,2,2,61,61,90,2,90},
{246,116,45,146,109,90,32,103,133,119,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{246,113,146,232,162,262,204,47,45,331,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,150,84,275,13,26,368,49,244,244,63,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,295,174,87,30,87,85,36,103,36,2,278,2,2,2,2,2,2,163,2,2,2,2,2,2,2,2,2,2,2,2,2},
{356,300,75,310,123,301,200,107,183,37,218,37,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{358,207,168,150,150,21,156,50,195,275,275,275,2,2,2,2,2,251,2,2,2,251,251,251,251,251,251,251,251,251,2,2},
{322,194,234,62,236,147,239,400,255,255,80,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{326,276,134,100,143,113,115,221,13,339,194,194,194,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{192,213,113,174,403,117,342,342,311,35,35,2,2,2,2,2,2,2,2,101,2,2,2,2,2,2,2,2,2,101,101,101},
{264,273,316,53,40,330,51,285,115,219,147,2,2,2,335,2,2,2,2,2,173,2,173,2,2,173,173,173,173,173,173,83},
{254,293,407,118,54,296,160,231,4,4,93,2,2,2,2,2,60,61,2,2,120,127,127,127,88,88,88,88,88,88,88,88},
{341,78,336,263,281,164,99,334,296,114,109,2,163,163,163,163,2,2,2,2,2,2,2,125,125,292,292,292,292,125,125,125},
{355,87,212,100,89,210,133,344,120,45,45,138,138,138,138,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{274,141,46,219,158,284,38,79,73,185,35,6,81,2,2,2,2,53,2,2,81,81,2,81,2,2,2,53,53,53,53,53},
{349,303,439,19,95,240,174,191,2,162,162,2,2,2,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,91,201,205,67,181,59,77,2,44,103,103,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,125},
{283,154,261,91,77,147,227,105,116,311,256,256,2,116,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,32,2},
{287,288,111,89,249,370,55,16,248,67,67,115,2,2,134,134,2,2,2,2,2,2,2,2,2,2,2,2,2,22,22,22},
{284,270,282,37,29,181,160,49,285,285,374,250,2,374,374,2,2,2,179,179,35,2,179,179,2,179,179,2,2,285,285,285},
{359,305,52,36,243,231,7,92,2,68,68,307,62,45,2,2,112,311,311,311,2,2,2,2,2,2,2,2,2,2,2,2},
{288,119,218,137,364,38,27,380,2,2,211,23,33,2,2,2,2,2,225,225,225,2,2,225,225,225,2,2,2,2,2,2},
{277,155,232,309,370,365,348,75,214,214,214,4,4,2,2,2,210,210,210,210,210,210,210,2,2,2,2,2,2,2,2,2},
{292,204,91,41,124,190,107,322,125,125,125,125,125,25,25,62,2,2,146,146,2,2,62,146,2,146,114,146,114,2,2,2},
{282,195,192,409,68,99,253,106,2,2,2,231,55,55,2,323,323,55,55,285,285,285,285,2,2,2,2,2,2,285,285,323},
{282,222,268,86,21,109,353,408,2,2,2,2,135,12,12,216,241,241,241,241,241,241,241,241,241,303,303,303,135,135,135,2},
{374,94,89,257,137,246,186,196,2,2,2,2,2,454,122,122,122,122,2,2,2,28,28,94,94,94,94,94,122,122,122,122},
{288,370,141,284,207,192,450,67,2,2,2,183,217,217,217,183,183,167,202,202,202,202,167,167,2,2,2,164,164,80,167,167},
{286,293,199,39,158,332,242,103,2,2,2,408,266,315,2,2,365,253,315,315,315,315,315,2,2,315,2,2,2,2,2,2},
{398,88,78,57,260,203,203,43,131,131,131,204,204,322,204,2,102,2,325,325,325,325,2,2,2,2,2,2,2,2,2,2},
{390,174,70,155,163,67,225,49,2,34,34,151,151,2,2,111,2,2,111,111,2,2,2,2,2,2,2,2,2,2,2,2},
{408,136,71,63,63,159,222,68,181,181,124,227,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{294,169,79,242,160,123,178,290,186,186,56,399,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,228,69,68,193,122,21,362,33,22,362,57,2,2,2,2,46,46,196,196,196,2,196,196,196,2,196,2,2,2,2,2},
{417,238,147,165,346,19,92,164,266,291,291,43,2,2,2,345,2,2,2,345,345,2,2,2,2,2,345,2,2,2,2,2},
{456,192,86,182,35,174,342,102,210,210,210,393,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,256,256,158},
{432,168,63,154,166,46,479,145,144,288,288,288,288,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{341,256,113,85,188,233,161,29,110,167,91,91,253,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{311,360,312,158,73,16,106,209,472,48,24,203,203,2,2,2,2,234,234,234,2,234,234,203,2,2,2,234,234,234,234,234},
{437,196,161,100,132,246,395,187,35,35,35,2,2,35,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{438,174,338,145,155,276,422,374,4,463,463,99,224,70,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{426,225,211,130,325,283,353,96,282,23,299,2,2,2,63,63,2,276,276,2,2,2,2,2,2,2,2,2,2,2,2,2},
{430,101,288,38,200,332,325,193,123,123,88,2,2,2,2,2,231,231,139,139,139,139,139,139,139,139,139,139,139,139,139,139},
{434,143,308,389,365,363,174,63,121,125,260,2,2,260,260,2,2,2,2,2,2,2,2,2,2,258,2,2,2,258,2,2},
{453,123,201,141,229,223,234,494,102,102,102,2,2,102,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,252},
{438,168,65,264,304,74,168,88,114,132,187,2,127,127,2,2,2,2,2,81,81,56,2,2,2,307,2,2,2,2,81,81},
{324,181,141,129,33,171,173,291,227,373,52,301,301,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{335,114,55,47,33,173,287,345,198,198,136,238,238,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{456,162,188,223,408,209,28,164,299,299,258,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,397,130,172,407,479,295,13,38,199,199,346,2,2,2,2,2,2,145,2,2,2,2,2,2,2,2,2,2,2,2,2},
{512,136,129,361,180,61,274,128,422,27,292,165,2,2,2,2,2,2,363,117,117,117,117,2,2,2,2,363,2,2,2,2},
{478,433,483,302,200,227,273,27,171,171,371,102,2,2,2,2,2,20,2,2,2,2,2,2,2,2,403,403,2,2,2,2},
{485,158,454,86,212,60,93,40,209,188,188,106,2,231,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{390,448,111,145,47,555,367,317,315,52,429,435,429,429,2,2,2,2,2,2,2,2,229,2,2,229,2,2,2,229,2,2},
{378,406,112,198,539,550,516,59,240,240,23,316,2,122,2,2,2,2,2,2,2,2,2,2,111,111,2,2,2,95,2,2},
{495,406,306,239,172,323,236,50,37,435,2,310,56,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{397,393,191,269,462,151,264,134,307,307,2,163,163,2,2,2,2,2,2,2,2,2,2,2,2,2,159,2,2,2,2,2},
{485,491,325,149,122,145,228,100,311,64,2,62,137,2,137,2,2,2,2,2,2,2,392,2,2,2,2,2,2,2,2,2},
{507,195,130,401,363,171,483,20,86,464,2,89,89,2,26,2,2,2,2,2,425,425,2,2,2,2,2,2,2,2,2,2},
{380,220,87,122,242,78,207,371,95,305,2,2,2,2,440,440,445,358,358,331,331,358,445,445,445,445,445,445,445,445,445,445},
{507,221,247,137,182,90,28,207,325,438,2,2,2,2,2,187,232,438,2,2,68,37,37,37,37,37,37,37,37,37,161,2},
{509,265,101,126,203,86,152,416,352,85,2,2,2,284,391,368,2,2,152,2,2,2,325,2,2,2,2,2,2,2,2,2},
{572,359,332,480,68,535,59,504,365,21,2,2,246,54,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,178,178,372,415,400,73,82,348,99,2,23,325,44,2,2,2,2,2,2,2,2,325,2,2,2,2,2,2,2,2,2},
{430,275,236,361,42,552,368,236,653,74,65,458,288,307,307,2,2,2,2,2,2,2,65,65,2,2,2,2,2,2,2,2},
{434,139,58,437,130,441,188,15,63,145,145,145,300,2,2,2,2,300,2,2,2,2,2,2,2,2,401,401,401,401,401,401},
{542,138,266,514,552,202,103,197,574,48,2,96,96,2,2,96,96,217,2,2,2,2,2,2,2,2,2,2,2,2,2,217},
{546,494,72,272,550,219,213,209,169,404,69,464,86,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{422,413,561,110,242,62,436,478,18,150,606,88,643,2,249,2,2,2,2,456,2,2,2,2,2,2,2,2,2,2,2,456},
{555,516,310,438,290,559,52,265,248,193,285,441,285,285,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{555,300,232,386,470,300,355,177,57,407,450,279,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{534,274,194,220,575,81,206,544,341,85,137,429,429,429,429,344,2,2,2,2,2,315,315,315,315,315,315,72,72,72,2,2},
{576,301,142,329,96,41,302,528,126,112,206,206,2,2,2,2,2,2,206,206,2,206,206,2,191,206,206,191,191,191,191,206},
{622,526,294,56,498,176,237,351,25,26,474,55,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{446,163,469,481,240,278,51,373,491,13,22,419,2,2,2,2,2,2,2,2,2,176,176,2,2,2,2,2,2,2,2,2},
{445,223,102,108,120,166,68,214,737,504,96,96,206,377,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39,528},
{425,355,128,58,194,82,438,117,10,34,34,35,112,107,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{433,294,192,205,152,70,99,68,392,169,309,390,390,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,199,2,2,2},
{437,561,384,619,363,420,614,117,217,247,405,142,142,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{437,133,516,423,305,90,135,25,266,487,6,286,286,2,2,2,2,2,2,2,2,2,2,2,2,510,510,2,2,2,2,2},
{610,477,478,516,318,184,267,423,190,494,494,2,336,336,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{590,463,461,162,162,622,167,254,29,377,377,75,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{448,126,129,168,209,340,40,96,509,509,509,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{635,212,284,356,187,591,275,361,194,317,488,2,2,2,2,2,2,97,6,2,6,247,2,2,2,2,2,2,2,2,2,6},
{612,395,104,86,264,321,521,325,252,53,178,100,100,100,16,343,343,343,343,343,2,2,2,2,2,2,2,2,2,343,343,343},
{486,428,287,472,292,141,504,178,585,98,282,2,2,2,2,2,2,2,2,2,2,2,2,284,284,284,78,284,2,2,2,2},
{462,579,236,447,60,162,427,258,73,742,742,2,742,742,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{469,507,276,227,66,237,260,386,27,666,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{626,196,111,465,386,431,181,414,614,391,349,318,389,2,389,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{653,169,261,533,488,282,213,443,337,480,503,174,534,2,2,2,2,2,534,2,2,2,2,534,2,2,2,2,534,2,2,2},
{639,253,95,380,108,448,223,254,381,30,6,644,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{512,347,65,546,434,87,18,123,672,412,316,6,699,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{657,233,108,38,147,53,136,168,408,477,477,279,268,289,2,2,2,2,2,2,289,2,2,2,2,2,2,2,2,289,289,2},
{521,249,388,155,467,245,134,311,72,312,312,623,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{669,421,230,70,212,845,237,347,148,76,823,472,2,2,2,132,2,2,2,2,2,2,2,383,132,383,2,2,383,383,383,383},
{672,150,164,622,196,75,302,119,42,314,314,132,60,60,60,298,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{705,302,411,705,691,160,809,40,32,867,826,826,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{707,323,409,27,31,157,492,463,886,412,251,251,304,190,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{793,279,264,566,252,495,872,492,482,107,294,503,350,350,2,2,2,2,2,2,2,285,285,273,273,273,273,2,2,2,2,2},
{791,275,60,137,352,839,67,476,356,216,216,563,563,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{709,509,697,145,252,194,304,192,192,623,623,4,423,2,2,2,199,423,2,2,2,222,222,2,2,623,623,623,623,623,2,222},
{539,310,463,103,553,45,609,326,197,2,62,113,272,2,62,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{750,703,182,242,92,335,272,466,594,2,701,569,474,129,140,140,2,507,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{872,630,513,218,719,174,197,104,86,281,281,281,541,642,281,94,2,45,94,2,335,335,2,2,2,2,2,2,2,2,2,84},
{744,466,389,280,229,134,363,177,389,2,2,2,536,273,536,536,536,536,168,45,45,45,45,2,2,2,2,2,2,2,2,2},
{468,430,849,689,202,427,45,34,105,2,2,2,2,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,2,2,2,2},
{563,325,717,766,440,705,290,123,228,2,2,2,32,64,146,2,2,2,116,79,79,2,146,146,79,79,79,2,2,146,146,79},
{781,638,410,399,336,465,856,426,28,2,4,4,6,6,2,2,2,449,372,372,449,449,449,2,2,449,449,449,449,449,449,2},
{818,280,99,873,165,426,341,74,479,342,727,684,684,662,662,2,2,2,2,2,2,662,2,2,2,2,2,2,2,2,2,2},
{901,490,693,410,666,119,703,593,201,61,70,70,774,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,418,418},
{859,584,475,745,506,900,40,869,143,612,175,275,209,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{612,237,272,53,534,682,372,935,494,536,536,599,599,599,2,536,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{708,442,186,698,345,103,687,463,163,416,416,107,2,2,2,375,375,416,6,2,2,2,2,2,2,2,2,2,2,2,2,2},
{927,493,988,194,97,1006,377,578,105,248,707,784,98,784,2,2,2,2,2,2,2,2,2,370,370,2,370,2,2,2,2,2}
};

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@ -0,0 +1,356 @@
#define KOROBOV_MINDIM 2
#define KOROBOV_MAXDIM 33
#define MAXPRIME 3319
#define Hash(x) ((6967 - x)*(-47 + x))/36952
static int prime[] = {
FIRST,47,53,59,61,67,73,79,83,89,97,101,107,113,127,131,137,139,149,
151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,
251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,
359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,
463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,
593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,
701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,
827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,
953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,
1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,
1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,
1259,1277,1279,1283,1291,1297,1307,1319,1321,1327,1361,1367,1373,1381,
1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1493,
1499,1511,1523,1531,1543,1549,1559,1567,1579,1583,1597,1607,1613,1621,
1637,1657,1663,1667,1669,1693,1697,1699,1709,1723,1733,1747,1753,1759,
1777,1787,1801,1811,1823,1831,1847,1861,1867,1877,1889,1901,1913,1931,
1933,1949,1951,1973,1979,1993,2003,2017,2029,2039,2053,2069,2081,2099,
2111,2129,2137,2153,2161,2179,2203,2207,2221,2237,2243,2267,2273,2293,
2309,2333,2339,2351,2371,2389,2399,2417,2437,2459,2473,2503,2521,2531,
2549,2557,2591,2609,2621,2647,2671,2693,2713,2741,2767,2789,2819,2843,
2879,2897,2927,2963,2999,3037,3079,3121,3181,3229,MarkLast(3319)
};
static short coeff[][32] = {
{13,11,10,3,9,2,2,2,2,9,2,2,7,2,2,2,2,2,2,6,2,2,2,13,11,10,3,9,2,2,2,2},
{23,17,12,11,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,12,14,14,14},
{18,14,5,14,2,2,19,19,25,25,18,18,18,2,2,2,2,2,2,2,2,2,2,2,25,6,2,2,2,18,14,5},
{17,21,7,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,17,7},
{18,13,23,5,2,12,6,12,12,12,10,10,16,2,16,16,2,2,2,2,2,2,2,10,2,2,2,2,10,2,2,2},
{27,14,10,14,2,4,13,2,2,16,4,4,4,6,6,6,6,6,6,25,25,31,31,15,31,2,2,31,15,14,14,6},
{29,19,27,32,6,8,2,2,2,2,2,8,8,2,2,2,2,9,9,9,9,2,2,2,2,2,2,2,9,9,2,2},
{30,19,24,16,22,8,2,2,22,5,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{34,28,13,28,27,27,2,4,2,2,2,16,16,4,20,20,36,20,36,5,5,5,36,36,5,5,5,7,5,7,7,2},
{35,19,33,8,21,30,8,2,4,2,4,4,2,2,2,2,2,2,2,2,2,17,2,2,11,25,11,17,17,17,17,17},
{39,40,15,21,11,26,13,2,2,13,2,2,2,2,2,2,2,2,2,2,26,26,2,2,2,2,2,2,2,2,2,2},
{41,22,15,7,26,29,29,2,2,2,2,2,2,41,41,2,2,2,31,31,2,31,31,2,31,2,2,2,2,2,2,2},
{35,22,37,9,35,12,35,8,2,2,50,50,2,2,32,32,32,31,13,8,8,8,2,22,50,9,9,9,22,22,22,10},
{29,24,43,36,49,2,2,8,4,25,49,25,2,2,8,10,10,10,5,5,5,40,10,33,40,40,2,27,10,25,25,25},
{50,18,32,39,21,2,2,2,4,4,36,36,14,14,14,14,2,2,2,17,17,17,16,16,2,14,14,14,14,2,2,2},
{31,28,45,20,18,43,43,13,28,2,2,2,31,31,31,31,31,2,2,2,43,43,2,2,2,2,2,2,2,2,30,2},
{39,15,41,7,24,2,2,30,40,2,2,25,25,25,25,2,2,2,2,2,2,6,6,2,25,2,5,2,2,25,2,2},
{44,20,29,39,7,21,21,21,2,2,45,2,2,2,49,49,49,49,49,2,2,2,2,2,2,2,2,2,2,2,2,2},
{56,20,22,13,18,35,35,6,2,4,2,4,2,2,2,23,16,16,4,23,2,34,52,2,34,2,4,2,2,2,23,16},
{46,32,17,18,29,27,31,31,31,2,2,4,15,2,2,2,2,2,2,2,2,2,2,2,2,2,23,32,32,32,15,15},
{62,42,43,17,23,13,13,2,2,13,2,2,2,2,2,2,2,10,2,2,2,2,9,10,2,2,2,19,9,9,9,9},
{46,49,49,52,27,7,20,2,2,6,6,13,13,13,2,13,13,2,2,2,2,2,2,34,34,2,2,2,2,2,2,2},
{64,34,16,28,16,51,47,2,2,2,6,18,39,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,2},
{74,26,44,25,50,24,54,39,58,42,2,42,42,2,2,2,2,2,2,2,2,33,33,2,2,39,11,2,2,58,39,58},
{70,22,50,22,16,9,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{74,21,17,25,35,33,10,2,10,20,20,57,57,57,2,2,57,2,2,2,2,2,2,2,13,2,2,2,2,2,2,2},
{81,18,10,11,47,38,71,37,2,37,2,2,2,2,2,26,26,26,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{71,68,68,27,71,39,81,44,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{55,30,85,42,16,36,45,67,2,2,68,2,2,2,2,2,2,2,68,10,2,2,2,2,2,2,2,2,2,2,2,2},
{64,17,24,26,49,12,10,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,59,2,2},
{68,57,23,38,61,38,13,13,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,68,15,2,44,44,44,2,2,2},
{94,28,58,29,13,5,15,8,66,2,2,2,39,39,15,66,2,2,6,6,2,2,66,66,66,66,2,2,2,2,2,66},
{94,85,9,41,41,37,29,29,17,2,2,2,7,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8},
{89,32,75,77,77,13,2,30,30,2,2,2,2,2,2,2,2,2,2,67,67,2,2,2,2,2,2,2,2,8,19,32},
{70,45,58,63,67,10,72,72,70,6,2,36,2,70,70,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{101,33,76,13,45,63,2,2,6,19,2,2,32,32,32,32,32,65,2,63,63,11,11,11,19,19,19,19,9,63,63,63},
{70,89,44,37,19,45,2,2,2,8,10,8,54,54,80,80,80,80,80,2,116,2,116,2,2,80,40,51,100,100,8,2},
{71,54,83,51,42,98,2,2,8,8,14,30,93,22,15,15,30,30,30,44,44,44,2,2,22,22,22,117,44,11,11,11},
{109,37,51,113,17,10,2,2,17,17,55,2,55,55,55,55,55,55,2,2,2,57,48,48,55,55,2,2,55,2,2,55},
{75,38,68,89,11,52,2,2,81,39,2,38,2,2,2,2,2,2,2,2,2,2,2,19,2,2,2,2,2,2,2,2},
{80,38,62,66,39,59,2,36,48,33,2,2,41,2,48,48,2,2,2,2,2,2,48,2,2,2,2,2,2,2,2,2},
{81,84,35,34,20,93,2,12,12,12,2,96,2,96,96,2,96,2,2,2,2,2,2,2,2,2,2,2,2,56,56,56},
{109,72,60,96,67,32,85,84,27,91,91,2,10,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{104,32,56,46,77,11,35,35,24,56,19,2,2,2,78,2,2,75,2,2,2,2,78,2,2,2,2,2,2,2,2,2},
{81,103,25,35,28,15,20,20,20,2,2,2,2,20,20,20,107,107,2,2,2,2,2,2,2,2,2,2,2,2,13,13},
{119,75,42,29,74,23,54,36,39,2,2,4,4,19,19,2,2,2,2,2,2,2,2,54,2,2,2,2,2,2,2,54},
{115,73,22,102,75,138,16,73,50,16,2,50,2,2,2,133,2,2,2,2,2,2,2,2,2,2,2,2,2,33,33,33},
{119,48,66,51,14,22,20,20,2,2,2,2,2,60,2,2,2,2,2,2,2,2,60,2,2,2,2,2,2,60,2,65},
{121,94,80,29,51,69,42,36,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,17,2,2},
{129,123,41,79,43,34,24,11,2,2,4,2,2,2,2,75,16,16,16,75,75,75,16,16,16,25,2,99,2,2,75,16},
{128,33,35,68,22,8,62,94,2,2,2,62,62,2,98,2,2,4,98,2,2,32,81,32,32,32,98,98,98,98,98,98},
{101,109,154,15,57,6,27,36,2,2,37,37,2,2,2,2,2,2,2,107,2,2,2,107,107,2,2,2,2,2,2,2},
{106,40,24,38,61,118,106,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{149,111,58,79,127,13,41,33,27,16,30,2,61,2,72,2,2,2,2,2,2,2,2,2,2,2,2,75,75,2,2,2},
{105,92,43,156,25,53,57,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{99,40,62,67,66,29,99,99,99,78,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,79},
{109,42,96,95,66,41,103,84,13,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{111,72,16,89,25,86,117,29,14,14,2,2,2,2,2,60,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{106,72,49,94,140,44,97,157,75,2,2,4,123,123,2,2,123,123,123,123,2,2,2,2,2,2,2,2,2,2,2,2},
{115,67,74,32,43,50,21,36,135,36,85,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{151,71,157,42,41,37,80,27,18,2,2,2,2,2,2,2,2,2,2,2,2,2,115,128,128,128,128,128,32,2,128,80},
{119,91,38,30,92,44,32,76,22,2,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,129,2,2,129,2,2,2},
{121,126,31,52,120,37,57,10,171,2,2,2,2,35,35,35,2,2,97,97,97,97,97,97,97,35,35,35,97,97,97,2},
{155,86,49,104,87,94,64,45,61,91,91,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{164,121,44,166,47,33,7,15,13,2,2,122,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{128,120,133,17,71,52,25,107,42,21,21,2,2,2,2,4,4,96,2,9,9,2,9,94,94,94,94,94,94,94,94,96},
{179,82,157,76,61,35,13,90,197,2,69,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39},
{136,136,148,63,66,10,169,95,95,163,30,28,28,2,41,130,2,2,2,21,2,2,2,2,2,2,2,2,2,2,2,36},
{131,40,112,63,55,30,53,79,79,79,2,79,2,2,2,2,2,79,2,2,2,2,14,36,2,21,21,21,21,2,2,91},
{165,81,92,48,9,110,12,40,40,34,2,2,2,107,107,107,2,107,2,2,2,2,2,2,2,2,2,2,2,15,41,41},
{169,66,170,97,35,56,55,86,32,32,2,2,2,2,14,2,40,2,37,2,2,37,40,40,40,2,2,2,37,37,37,37},
{135,63,126,156,70,18,49,143,6,117,2,109,109,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{179,104,117,56,132,56,190,130,130,15,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{193,59,51,68,68,15,170,170,170,143,143,12,2,2,2,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{145,101,56,65,23,76,110,2,4,4,4,146,146,146,2,146,2,2,2,2,2,2,2,2,2,2,2,2,2,2,146,146},
{144,129,26,98,36,46,47,52,52,52,82,2,2,2,2,2,17,2,2,2,2,2,2,2,2,2,2,2,2,91,2,2},
{145,78,166,171,56,20,63,2,2,33,33,33,33,2,78,47,47,47,47,47,2,2,2,2,2,78,78,78,2,2,2,2},
{191,69,176,54,47,75,167,2,2,2,188,188,188,30,30,2,67,67,117,2,117,117,117,2,2,36,2,2,2,2,2,2},
{186,96,29,122,47,96,170,157,157,157,157,108,159,2,195,195,26,26,26,26,26,2,2,2,2,132,132,132,2,2,2,2},
{151,118,226,91,54,49,33,2,2,2,2,4,4,4,143,143,2,2,143,25,25,25,2,143,143,143,143,143,143,143,143,143},
{144,91,237,82,81,75,138,163,163,163,117,117,44,2,44,136,136,136,136,2,2,2,2,2,122,122,122,122,2,2,2,136},
{189,78,178,64,118,27,189,2,2,67,67,110,110,110,110,2,28,28,2,2,2,2,2,2,2,102,2,2,2,2,2,2},
{165,202,83,76,125,65,42,2,44,44,23,2,23,23,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{209,204,92,75,85,146,104,2,7,18,8,2,2,2,204,95,95,95,2,2,2,95,95,95,95,95,95,95,2,2,2,95},
{169,68,89,16,193,82,33,262,262,175,148,148,148,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{171,162,78,43,61,17,112,10,171,182,118,33,2,2,2,2,118,2,2,2,2,2,2,151,2,2,2,2,2,2,2,2},
{211,121,119,55,90,211,96,89,225,25,178,36,36,36,2,2,108,2,2,2,2,2,2,2,2,2,2,2,2,184,2,2},
{154,101,83,17,16,210,41,79,70,158,2,27,27,2,2,2,2,2,2,2,2,2,2,2,2,153,2,2,2,2,2,2},
{169,179,130,79,148,180,136,17,47,119,2,119,119,169,169,2,169,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{241,171,148,31,172,34,66,60,156,140,2,2,2,75,75,2,2,2,2,2,2,2,190,190,2,2,2,30,2,2,2,2},
{229,189,183,106,118,138,82,149,265,39,2,2,265,2,2,2,2,2,2,130,2,2,2,71,71,2,2,2,71,2,2,71},
{165,157,127,21,64,15,80,130,130,130,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,74,2},
{221,130,203,84,83,83,29,121,54,54,2,141,2,2,94,94,94,4,4,4,2,4,2,2,2,54,54,108,16,16,94,52},
{230,166,20,160,121,102,153,94,16,67,2,2,2,2,2,2,97,97,97,2,2,97,97,2,97,97,97,97,97,97,97,97},
{181,79,137,119,139,24,77,17,50,25,25,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,242,192,40,41,62,124,193,193,31,193,2,2,2,2,2,2,2,2,2,2,2,2,148,2,2,2,2,2,2,2,2},
{239,178,73,122,239,51,95,48,78,88,78,2,2,2,2,2,2,2,2,2,2,2,144,144,2,2,144,144,144,2,144,144},
{234,117,198,34,143,21,74,6,252,252,98,2,2,2,2,197,38,2,2,2,2,2,47,2,47,47,47,47,2,2,2,47},
{179,110,38,28,58,39,16,29,42,125,202,8,8,129,4,4,2,2,2,67,67,2,2,2,2,2,2,8,67,67,2,2},
{246,53,189,50,18,59,179,179,7,137,137,2,2,103,103,103,103,40,40,40,2,2,2,2,73,73,73,2,103,103,103,103},
{239,133,87,92,193,12,206,238,238,238,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{191,244,60,193,18,32,193,104,74,125,125,66,2,2,2,2,2,2,2,2,2,2,125,125,2,125,125,125,2,2,2,2},
{177,74,90,91,172,219,63,84,32,2,2,196,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{253,143,54,39,122,32,75,107,234,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{282,89,71,88,30,23,81,105,105,2,2,105,105,131,107,2,2,2,2,2,195,195,2,2,29,29,21,21,128,195,195,195},
{259,115,171,40,156,71,67,24,24,2,2,2,24,4,4,4,2,234,2,2,2,2,2,2,2,2,2,74,74,2,2,2},
{264,237,49,203,247,108,75,75,75,2,2,32,16,8,16,16,16,164,14,164,2,2,32,16,8,16,16,32,42,42,42,2},
{264,106,89,51,29,226,23,286,286,151,151,151,151,151,2,2,2,2,2,2,31,31,31,2,2,2,2,2,2,2,2,284},
{194,215,82,23,213,23,108,127,74,2,201,32,178,2,285,2,2,2,2,285,2,2,2,2,2,2,2,2,2,2,2,2},
{196,267,251,111,231,14,30,52,95,2,154,53,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{266,67,22,101,102,157,53,95,130,2,42,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{281,205,107,178,236,122,122,316,76,215,215,2,60,2,2,2,2,2,2,227,2,2,2,2,2,2,2,2,27,2,2,2},
{271,89,65,195,132,162,102,45,56,174,104,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{200,169,170,121,155,68,131,167,78,113,113,2,2,64,2,2,2,2,2,2,2,2,2,2,2,2,2,173,2,2,2,2},
{288,143,265,264,71,19,231,169,27,27,27,2,2,2,2,2,2,2,2,2,2,2,2,2,51,2,2,2,2,2,2,2},
{311,141,96,173,90,119,134,151,35,252,39,2,39,39,2,2,2,2,2,2,2,2,2,113,113,2,2,2,2,2,2,113},
{311,230,52,138,225,346,162,216,216,91,160,182,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{275,167,128,244,184,184,44,210,237,139,139,139,139,2,2,2,2,2,2,2,2,2,2,73,2,2,2,2,2,2,2,2},
{176,156,83,135,46,197,108,63,33,33,33,2,133,2,213,213,213,213,133,133,2,133,2,2,133,133,2,2,2,2,2,2},
{283,125,141,192,89,181,106,208,124,124,2,112,112,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{289,191,171,152,191,173,54,13,21,56,56,56,2,2,2,2,2,2,2,2,2,220,2,2,2,2,2,2,2,2,2,2},
{334,305,132,132,99,126,54,116,164,105,2,105,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,287,2,2,2,2},
{240,166,44,193,153,333,15,99,246,99,2,2,99,99,2,2,2,2,195,195,195,2,195,195,2,263,263,2,195,195,195,263},
{246,194,265,79,225,65,24,62,46,181,2,2,2,314,2,2,2,2,2,2,2,215,2,2,2,2,2,2,2,2,2,2},
{229,334,285,302,21,26,24,97,64,40,2,2,2,231,231,231,231,65,2,148,2,2,2,2,2,2,2,2,2,2,2,2},
{251,295,55,249,135,173,164,78,261,261,2,2,2,2,114,2,2,2,2,2,256,142,142,2,2,2,2,2,2,2,2,185},
{232,153,55,60,181,79,107,70,29,35,2,2,58,58,2,58,2,2,2,2,61,61,2,61,61,2,2,61,61,90,2,90},
{246,116,45,146,109,90,32,103,133,119,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{246,113,146,232,162,262,204,47,45,331,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,150,84,275,13,26,368,49,244,244,63,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,295,174,87,30,87,85,36,103,36,2,278,2,2,2,2,2,2,163,2,2,2,2,2,2,2,2,2,2,2,2,2},
{356,300,75,310,123,301,200,107,183,37,218,37,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{358,207,168,150,150,21,156,50,195,275,275,275,2,2,2,2,2,251,2,2,2,251,251,251,251,251,251,251,251,251,2,2},
{322,194,234,62,236,147,239,400,255,255,80,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{326,276,134,100,143,113,115,221,13,339,194,194,194,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{337,132,27,45,14,81,110,84,238,224,211,2,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{192,213,113,174,403,117,342,342,311,35,35,2,2,2,2,2,2,2,2,101,2,2,2,2,2,2,2,2,2,101,101,101},
{264,273,316,53,40,330,51,285,115,219,147,2,2,2,335,2,2,2,2,2,173,2,173,2,2,173,173,173,173,173,173,83},
{254,293,407,118,54,296,160,231,4,4,93,2,2,2,2,2,60,61,2,2,120,127,127,127,88,88,88,88,88,88,88,88},
{341,78,336,263,281,164,99,334,296,114,109,2,163,163,163,163,2,2,2,2,2,2,2,125,125,292,292,292,292,125,125,125},
{355,87,212,100,89,210,133,344,120,45,45,138,138,138,138,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{274,141,46,219,158,284,38,79,73,185,35,6,81,2,2,2,2,53,2,2,81,81,2,81,2,2,2,53,53,53,53,53},
{349,303,439,19,95,240,174,191,2,162,162,2,2,2,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,91,201,205,67,181,59,77,2,44,103,103,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,125},
{283,154,261,91,77,147,227,105,116,311,256,256,2,116,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,32,2},
{287,288,111,89,249,370,55,16,248,67,67,115,2,2,134,134,2,2,2,2,2,2,2,2,2,2,2,2,2,22,22,22},
{284,270,282,37,29,181,160,49,285,285,374,250,2,374,374,2,2,2,179,179,35,2,179,179,2,179,179,2,2,285,285,285},
{359,305,52,36,243,231,7,92,2,68,68,307,62,45,2,2,112,311,311,311,2,2,2,2,2,2,2,2,2,2,2,2},
{288,119,218,137,364,38,27,380,2,2,211,23,33,2,2,2,2,2,225,225,225,2,2,225,225,225,2,2,2,2,2,2},
{277,155,232,309,370,365,348,75,214,214,214,4,4,2,2,2,210,210,210,210,210,210,210,2,2,2,2,2,2,2,2,2},
{292,204,91,41,124,190,107,322,125,125,125,125,125,25,25,62,2,2,146,146,2,2,62,146,2,146,114,146,114,2,2,2},
{282,195,192,409,68,99,253,106,2,2,2,231,55,55,2,323,323,55,55,285,285,285,285,2,2,2,2,2,2,285,285,323},
{299,122,174,403,113,77,63,275,2,2,2,138,276,227,38,227,2,237,2,2,2,2,2,2,2,2,2,2,352,352,352,2},
{282,222,268,86,21,109,353,408,2,2,2,2,135,12,12,216,241,241,241,241,241,241,241,241,241,303,303,303,135,135,135,2},
{374,94,89,257,137,246,186,196,2,2,2,2,2,454,122,122,122,122,2,2,2,28,28,94,94,94,94,94,122,122,122,122},
{288,92,62,428,122,153,481,66,2,2,2,250,250,177,177,177,177,279,279,279,279,279,279,279,2,2,279,177,177,177,177,177},
{288,370,141,284,207,192,450,67,2,2,2,183,217,217,217,183,183,167,202,202,202,202,167,167,2,2,2,164,164,80,167,167},
{286,293,199,39,158,332,242,103,2,2,2,408,266,315,2,2,365,253,315,315,315,315,315,2,2,315,2,2,2,2,2,2},
{407,83,435,187,40,16,52,65,2,2,244,39,77,119,119,2,2,2,119,342,342,2,2,2,2,2,342,2,2,58,58,119},
{398,88,78,57,260,203,203,43,131,131,131,204,204,322,204,2,102,2,325,325,325,325,2,2,2,2,2,2,2,2,2,2},
{390,174,70,155,163,67,225,49,2,34,34,151,151,2,2,111,2,2,111,111,2,2,2,2,2,2,2,2,2,2,2,2},
{393,129,393,169,23,192,168,47,2,2,312,150,71,2,150,2,2,2,61,2,2,61,2,2,2,2,2,2,2,2,2,2},
{408,136,71,63,63,159,222,68,181,181,124,227,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{294,169,79,242,160,123,178,290,186,186,56,399,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,228,69,68,193,122,21,362,33,22,362,57,2,2,2,2,46,46,196,196,196,2,196,196,196,2,196,2,2,2,2,2},
{415,130,241,185,312,175,309,199,94,281,47,47,2,2,2,2,206,307,221,2,2,2,2,2,239,239,239,239,239,206,206,206},
{417,238,147,165,346,19,92,164,266,291,291,43,2,2,2,345,2,2,2,345,345,2,2,2,2,2,345,2,2,2,2,2},
{456,192,86,182,35,174,342,102,210,210,210,393,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,256,256,158},
{307,255,92,38,325,61,103,246,176,319,80,89,2,241,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,168,63,154,166,46,479,145,144,288,288,288,288,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{341,256,113,85,188,233,161,29,110,167,91,91,253,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{311,360,312,158,73,16,106,209,472,48,24,203,203,2,2,2,2,234,234,234,2,234,234,203,2,2,2,234,234,234,234,234},
{437,196,161,100,132,246,395,187,35,35,35,2,2,35,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{438,174,338,145,155,276,422,374,4,463,463,99,224,70,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{426,225,211,130,325,283,353,96,282,23,299,2,2,2,63,63,2,276,276,2,2,2,2,2,2,2,2,2,2,2,2,2},
{430,101,288,38,200,332,325,193,123,123,88,2,2,2,2,2,231,231,139,139,139,139,139,139,139,139,139,139,139,139,139,139},
{434,143,308,389,365,363,174,63,121,125,260,2,2,260,260,2,2,2,2,2,2,2,2,2,2,258,2,2,2,258,2,2},
{453,123,201,141,229,223,234,494,102,102,102,2,2,102,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,252},
{438,168,65,264,304,74,168,88,114,132,187,2,127,127,2,2,2,2,2,81,81,56,2,2,2,307,2,2,2,2,81,81},
{324,181,141,129,33,171,173,291,227,373,52,301,301,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{448,119,431,111,135,50,242,95,148,49,49,49,68,2,2,2,2,2,2,2,2,49,2,2,2,2,2,2,2,2,2,2},
{335,114,55,47,33,173,287,345,198,198,136,238,238,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{468,377,243,237,332,512,27,167,22,169,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{456,162,188,223,408,209,28,164,299,299,258,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{445,391,115,226,96,456,239,214,556,158,158,282,2,2,2,2,2,2,2,2,2,2,2,2,2,331,2,2,2,2,2,2},
{360,397,130,172,407,479,295,13,38,199,199,346,2,2,2,2,2,2,145,2,2,2,2,2,2,2,2,2,2,2,2,2},
{512,136,129,361,180,61,274,128,422,27,292,165,2,2,2,2,2,2,363,117,117,117,117,2,2,2,2,363,2,2,2,2},
{478,433,483,302,200,227,273,27,171,171,371,102,2,2,2,2,2,20,2,2,2,2,2,2,2,2,403,403,2,2,2,2},
{485,158,454,86,212,60,93,40,209,188,188,106,2,231,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{390,448,111,145,47,555,367,317,315,52,429,435,429,429,2,2,2,2,2,2,2,2,229,2,2,229,2,2,2,229,2,2},
{490,331,187,398,407,373,497,219,423,423,378,378,2,419,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{474,373,248,330,40,113,105,273,103,407,2,165,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,406,306,239,172,323,236,50,37,435,2,310,56,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{397,393,191,269,462,151,264,134,307,307,2,163,163,2,2,2,2,2,2,2,2,2,2,2,2,2,159,2,2,2,2,2},
{485,491,325,149,122,145,228,100,311,64,2,62,137,2,137,2,2,2,2,2,2,2,392,2,2,2,2,2,2,2,2,2},
{364,462,360,383,182,187,123,69,129,146,2,156,149,2,149,2,2,2,2,2,2,2,303,303,303,2,2,2,2,2,149,266},
{507,195,130,401,363,171,483,20,86,464,2,89,89,2,26,2,2,2,2,2,425,425,2,2,2,2,2,2,2,2,2,2},
{380,220,87,122,242,78,207,371,95,305,2,2,2,2,440,440,445,358,358,331,331,358,445,445,445,445,445,445,445,445,445,445},
{507,221,247,137,182,90,28,207,325,438,2,2,2,2,2,187,232,438,2,2,68,37,37,37,37,37,37,37,37,37,161,2},
{509,265,101,126,203,86,152,416,352,85,2,2,2,284,391,368,2,2,152,2,2,2,325,2,2,2,2,2,2,2,2,2},
{572,359,332,480,68,535,59,504,365,21,2,2,246,54,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,178,178,372,415,400,73,82,348,99,2,23,325,44,2,2,2,2,2,2,2,2,325,2,2,2,2,2,2,2,2,2},
{430,275,236,361,42,552,368,236,653,74,65,458,288,307,307,2,2,2,2,2,2,2,65,65,2,2,2,2,2,2,2,2},
{434,139,58,437,130,441,188,15,63,145,145,145,300,2,2,2,2,300,2,2,2,2,2,2,2,2,401,401,401,401,401,401},
{542,138,266,514,552,202,103,197,574,48,2,96,96,2,2,96,96,217,2,2,2,2,2,2,2,2,2,2,2,2,2,217},
{546,494,72,272,550,219,213,209,169,404,69,464,86,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{602,466,332,458,99,244,255,183,446,670,2,186,323,2,2,2,2,2,2,2,2,2,2,2,2,2,2,292,165,165,165,165},
{422,413,561,110,242,62,436,478,18,150,606,88,643,2,249,2,2,2,2,456,2,2,2,2,2,2,2,2,2,2,2,456},
{522,141,154,253,264,53,120,93,274,52,44,203,556,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{600,249,375,555,421,322,317,84,517,517,268,106,353,2,2,2,2,2,2,2,2,2,268,2,2,2,2,2,2,302,2,2},
{555,516,310,438,290,559,52,265,248,193,285,441,285,285,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{555,300,232,386,470,300,355,177,57,407,450,279,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{544,177,79,306,256,402,205,496,398,115,115,43,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{534,274,194,220,575,81,206,544,341,85,137,429,429,429,429,344,2,2,2,2,2,315,315,315,315,315,315,72,72,72,2,2},
{548,538,508,250,539,102,73,285,119,433,480,480,2,2,2,480,480,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{622,526,294,56,498,176,237,351,25,26,474,55,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{446,163,469,481,240,278,51,373,491,13,22,419,2,2,2,2,2,2,2,2,2,176,176,2,2,2,2,2,2,2,2,2},
{445,223,102,108,120,166,68,214,737,504,96,96,206,377,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39,528},
{453,121,489,84,434,505,78,575,468,372,468,468,83,468,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{425,355,128,58,194,82,438,117,10,34,34,35,112,107,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,479,328,443,253,634,271,429,406,543,406,543,543,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{456,383,487,311,57,579,673,264,582,187,184,43,43,2,2,2,2,501,501,501,2,2,2,2,2,2,2,2,2,2,2,2},
{437,561,384,619,363,420,614,117,217,247,405,142,142,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{437,133,516,423,305,90,135,25,266,487,6,286,286,2,2,2,2,2,2,2,2,2,2,2,2,510,510,2,2,2,2,2},
{463,341,170,401,178,79,305,98,162,166,32,392,335,335,335,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{610,477,478,516,318,184,267,423,190,494,494,2,336,336,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{590,463,461,162,162,622,167,254,29,377,377,75,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{629,225,67,623,298,588,354,49,41,185,176,63,63,63,2,2,2,2,2,2,2,2,2,2,2,2,8,435,32,32,435,435},
{448,126,129,168,209,340,40,96,509,509,509,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{635,212,284,356,187,591,275,361,194,317,488,2,2,2,2,2,2,97,6,2,6,247,2,2,2,2,2,2,2,2,2,6},
{612,395,104,86,264,321,521,325,252,53,178,100,100,100,16,343,343,343,343,343,2,2,2,2,2,2,2,2,2,343,343,343},
{486,428,287,472,292,141,504,178,585,98,282,2,2,2,2,2,2,2,2,2,2,2,2,284,284,284,78,284,2,2,2,2},
{612,327,212,565,450,385,201,649,423,491,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{462,579,236,447,60,162,427,258,73,742,742,2,742,742,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,440,89,439,65,207,459,407,139,131,624,2,380,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{469,507,276,227,66,237,260,386,27,666,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{646,393,273,238,24,13,253,127,368,316,316,316,150,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{626,196,111,465,386,431,181,414,614,391,349,318,389,2,389,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{653,169,261,533,488,282,213,443,337,480,503,174,534,2,2,2,2,2,534,2,2,2,2,534,2,2,2,2,534,2,2,2},
{670,555,160,90,604,604,50,459,376,545,316,180,526,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{642,160,702,90,157,254,278,521,650,277,74,554,122,2,2,2,2,2,2,517,174,174,174,2,2,2,2,2,2,2,2,2},
{678,254,190,197,637,49,130,25,374,357,357,411,643,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,537,2,2},
{512,347,65,546,434,87,18,123,672,412,316,6,699,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{657,233,108,38,147,53,136,168,408,477,477,279,268,289,2,2,2,2,2,2,289,2,2,2,2,2,2,2,2,289,289,2},
{660,624,376,472,165,66,158,308,492,779,305,305,2,576,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{408,348,216,299,302,668,347,63,172,141,272,168,678,2,2,2,512,2,2,2,2,4,2,2,2,494,64,64,64,128,16,512},
{669,421,230,70,212,845,237,347,148,76,823,472,2,2,2,132,2,2,2,2,2,2,2,383,132,383,2,2,383,383,383,383},
{693,530,139,82,780,416,270,278,330,484,484,200,2,2,2,2,137,94,2,2,2,2,2,2,2,2,484,2,2,2,2,2},
{672,150,164,622,196,75,302,119,42,314,314,132,60,60,60,298,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{705,302,411,705,691,160,809,40,32,867,826,826,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{684,229,138,46,407,399,82,254,267,31,31,45,2,209,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{707,323,409,27,31,157,492,463,886,412,251,251,304,190,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{555,543,434,78,850,174,277,194,4,100,471,69,69,424,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{793,279,264,566,252,495,872,492,482,107,294,503,350,350,2,2,2,2,2,2,2,285,285,273,273,273,273,2,2,2,2,2},
{703,427,225,320,136,47,103,547,239,217,73,68,68,204,204,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{703,312,472,588,228,512,386,668,477,617,389,389,389,2,296,2,2,2,2,343,343,2,2,343,343,2,2,617,617,617,617,2},
{709,509,697,145,252,194,304,192,192,623,623,4,423,2,2,2,199,423,2,2,2,222,222,2,2,623,623,623,623,623,2,222},
{587,453,117,107,672,86,248,568,568,294,294,513,78,2,2,164,82,2,2,2,2,22,2,2,2,2,2,2,2,2,2,2},
{741,466,378,135,737,131,159,469,59,2,59,59,187,2,204,2,2,2,2,2,2,2,2,2,798,2,2,798,798,798,798,798},
{539,310,463,103,553,45,609,326,197,2,62,113,272,2,62,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{750,703,182,242,92,335,272,466,594,2,701,569,474,129,140,140,2,507,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{547,210,113,361,584,121,65,307,98,2,2,552,514,514,2,514,207,514,514,514,2,2,2,2,2,2,2,2,2,2,2,2},
{580,145,358,434,630,73,604,366,366,2,2,398,398,207,2,207,487,2,2,487,207,2,2,207,207,207,2,2,2,2,207,207},
{765,421,129,298,867,365,222,476,401,142,90,22,22,88,226,657,2,2,477,2,2,2,2,2,226,226,2,226,2,2,2,226},
{587,553,360,539,227,800,312,143,536,2,2,2,64,64,64,2,2,2,179,179,493,2,2,184,184,184,58,2,2,2,493,493},
{841,222,158,469,253,91,347,241,766,2,2,2,88,88,88,439,439,439,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{462,653,478,67,269,150,474,711,220,669,669,669,669,669,390,352,325,2,229,545,545,545,545,545,545,545,545,2,545,352,309,352},
{468,430,849,689,202,427,45,34,105,2,2,2,2,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,2,2,2,2},
{792,169,306,843,246,123,293,229,483,2,2,2,165,163,163,163,163,440,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{563,325,717,766,440,705,290,123,228,2,2,2,32,64,146,2,2,2,116,79,79,2,146,146,79,79,79,2,2,146,146,79},
{802,533,869,638,67,192,805,223,219,2,2,191,178,178,77,77,2,2,2,2,431,431,2,2,2,431,431,2,2,431,2,2},
{781,638,410,399,336,465,856,426,28,2,4,4,6,6,2,2,2,449,372,372,449,449,449,2,2,449,449,449,449,449,449,2},
{780,359,766,618,41,596,86,636,287,707,707,96,49,373,613,373,2,2,2,2,2,2,2,613,613,613,2,2,2,2,2,2},
{622,309,913,550,994,90,257,588,29,526,526,526,496,496,576,2,2,2,2,2,182,182,182,2,2,447,447,447,447,447,447,182},
{593,411,953,203,89,57,785,354,349,424,424,707,707,707,829,2,2,2,2,2,670,670,670,2,2,424,424,424,2,2,670,424},
{629,560,621,245,683,633,495,551,472,2,31,74,489,684,555,684,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{901,490,693,410,666,119,703,593,201,61,70,70,774,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,418,418},
{669,321,391,548,189,157,337,42,796,871,276,622,30,2,2,2,2,2,2,2,580,580,107,2,2,2,2,2,434,434,434,434},
{610,236,633,300,681,358,72,281,148,466,466,283,275,2,386,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{859,584,475,745,506,900,40,869,143,612,175,275,209,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{822,581,76,382,72,347,964,324,137,61,61,28,623,351,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{867,820,301,252,61,331,105,309,562,218,365,326,768,672,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{859,844,510,859,118,190,550,29,159,622,622,382,258,382,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{843,730,235,233,816,495,598,134,131,604,227,378,378,553,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{670,595,333,257,907,413,548,341,327,350,612,700,700,700,700,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{877,181,375,79,199,256,223,295,135,371,395,354,2,307,944,2,813,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{708,442,186,698,345,103,687,463,163,416,416,107,2,2,2,375,375,416,6,2,2,2,2,2,2,2,2,2,2,2,2,2},
{865,675,786,568,112,197,225,348,372,497,215,215,2,2,2,2,159,159,150,224,224,141,2,2,2,2,141,141,141,141,141,141},
{898,559,396,742,51,143,411,221,116,756,756,756,2,2,2,701,701,2,2,2,2,240,225,256,322,322,240,240,240,240,240,322},
{982,579,548,413,416,103,71,101,1039,526,684,684,2,2,656,2,2,2,2,2,2,2,2,2,2,2,656,656,656,2,656,656},
{642,757,247,513,372,54,546,971,271,61,61,1018,2,143,332,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{865,827,614,74,725,685,724,190,178,272,835,722,2,35,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{718,359,103,558,684,560,67,35,120,342,680,265,265,265,2,2,265,2,2,2,2,2,2,2,2,2,430,2,2,2,2,2},
{900,455,485,601,353,69,67,965,25,226,314,314,883,923,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{912,516,108,555,306,274,55,197,565,174,659,208,441,441,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{940,226,320,666,269,54,542,174,109,290,754,524,649,2,202,2,2,2,2,2,2,2,776,202,776,776,776,2,2,202,202,202},
{672,652,792,253,796,404,171,90,406,433,43,159,72,2,2,372,2,540,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{733,439,537,37,149,650,916,443,743,621,921,664,664,2,2,2,2,2,682,523,523,523,2,2,523,523,523,523,523,523,523,523},
{982,344,812,567,243,52,246,369,439,205,600,739,730,2,2,2,61,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{936,409,217,57,574,395,481,245,548,268,447,598,375,2,192,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{755,796,877,981,259,194,1180,215,90,658,662,662,662,2,36,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{949,422,941,491,66,786,592,429,307,123,40,478,478,478,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1077,496,819,340,974,122,39,1209,819,18,461,648,648,394,2,2,2,2,2,2,61,2,2,2,2,2,394,2,2,2,2,394},
{1083,356,367,357,559,213,606,477,71,103,790,103,299,299,2,2,2,2,2,2,406,406,2,2,2,2,2,2,2,2,2,2},
{738,749,769,610,306,326,328,578,479,840,840,840,68,192,2,150,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1094,640,912,223,67,472,623,623,1244,65,1009,1209,1209,812,387,2,2,2,513,2,2,2,2,2,2,2,2,2,2,2,1209,234},
{1028,730,807,119,209,146,230,498,164,309,309,2,2,2,693,912,430,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{802,298,672,424,104,623,152,159,476,760,66,2,2,2,215,215,490,490,490,2,2,2,2,2,490,490,490,490,490,490,490,490},
{1004,719,1041,460,551,516,135,417,130,698,698,2,2,2,655,655,655,655,655,2,2,2,2,2,2,2,2,2,2,2,2,2},
{818,301,273,664,206,971,895,590,912,523,523,2,2,452,384,255,2,130,130,130,130,865,2,2,2,255,2,2,2,2,2,2},
{1078,527,589,244,170,892,827,606,1165,773,189,2,2,240,22,2,2,2,2,2,2,759,621,621,621,621,621,621,621,621,621,621},
{1157,395,446,280,1130,695,668,271,111,882,477,615,615,615,2,2,2,2,2,2,2,2,615,615,615,615,615,615,615,2,305,2},
{1050,749,809,479,87,757,288,172,597,722,4,418,418,390,2,2,2,2,2,390,390,2,2,2,2,2,2,2,2,2,2,2},
{1057,385,263,395,901,274,727,340,1117,263,813,870,858,429,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1120,665,311,695,319,1033,511,297,602,1030,1030,714,240,240,2,2,2,2,2,2,2,2,2,2,2,2,2,953,2,2,2,2},
{1120,1159,358,347,838,207,357,167,476,52,672,38,822,2,2,2,2,2,2,213,2,2,2,2,2,2,2,2,2,2,2,2},
{820,461,681,382,273,273,358,274,274,91,887,676,386,2,676,676,2,2,2,2,2,2,2,200,2,2,2,2,200,2,2,2},
{1148,585,868,1282,666,417,733,1231,515,332,1213,337,337,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{898,782,478,1208,196,983,608,537,196,1141,141,296,715,715,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1142,370,287,925,307,1232,129,11,1284,1056,33,33,536,521,2,1286,2,2,2,2,2,2,2,2,2,2,2,2,847,847,847,847},
{1192,555,586,516,1288,733,64,653,364,273,421,215,75,75,2,2,2,2,2,2,953,953,953,953,8,383,383,2,161,383,953,953},
{966,590,140,297,189,844,633,12,847,742,742,244,281,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1247,353,973,217,1044,1318,1115,319,203,390,1244,225,2,2,508,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1015,593,112,1408,51,104,199,221,931,1010,928,928,2,2,878,878,2,2,2,2,731,731,2,731,731,2,731,2,731,731,731,2}
};

View File

@ -0,0 +1,571 @@
#define KOROBOV_MINDIM 2
#define KOROBOV_MAXDIM 33
#define MAXPRIME 5879
#define Hash(x) ((12013 - x)*(-47 + x))/68400
static int prime[] = {
FIRST,47,53,59,67,71,73,83,89,97,101,103,109,113,127,131,137,139,149,
151,157,163,167,173,179,181,191,197,199,211,223,227,229,233,239,241,251,
257,263,269,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,
373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,
479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,
601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,
719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,
839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,
971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,
1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,
1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,
1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,
1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,
1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,
1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,
1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,
1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,
1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,
2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,
2113,2129,2131,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,
2243,2251,2267,2269,2273,2281,2293,2297,2309,2311,2333,2339,2347,2357,
2371,2377,2383,2393,2399,2411,2423,2437,2441,2447,2459,2467,2477,2503,
2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,
2647,2657,2659,2671,2677,2687,2699,2707,2719,2729,2741,2749,2753,2767,
2777,2791,2803,2819,2833,2837,2843,2857,2861,2879,2887,2897,2909,2917,
2927,2939,2953,2963,2971,2999,3001,3011,3023,3037,3041,3061,3067,3079,
3089,3109,3119,3121,3137,3163,3167,3169,3187,3191,3209,3221,3229,3251,
3259,3271,3299,3301,3307,3319,3331,3347,3359,3371,3389,3391,3413,3433,
3449,3457,3463,3469,3491,3499,3517,3529,3547,3559,3571,3583,3593,3613,
3631,3643,3659,3671,3691,3701,3719,3733,3739,3761,3779,3793,3803,3821,
3833,3853,3863,3881,3907,3917,3931,3947,3967,3989,4001,4013,4027,4049,
4073,4079,4099,4127,4139,4157,4177,4201,4211,4231,4253,4271,4289,4297,
4327,4349,4373,4391,4409,4423,4451,4481,4493,4519,4547,4567,4591,4621,
4637,4663,4691,4721,4733,4759,4793,4817,4861,4877,4909,4943,4973,5003,
5039,5077,5113,5147,5189,5231,5273,5323,5381,5431,5483,5557,5623,5737,
MarkLast(5879)
};
static short coeff[][32] = {
{13,11,10,3,9,2,2,2,2,9,2,2,7,2,2,2,2,2,2,6,2,2,2,13,11,10,3,9,2,2,2,2},
{23,17,12,11,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,12,14,14,14},
{18,14,5,14,2,2,19,19,25,25,18,18,18,2,2,2,2,2,2,2,2,2,2,2,25,6,2,2,2,18,14,5},
{18,13,23,5,2,12,6,12,12,12,10,10,16,2,16,16,2,2,2,2,2,2,2,10,2,2,2,2,10,2,2,2},
{21,22,7,21,2,20,20,2,2,2,2,22,2,2,2,2,2,2,2,6,6,21,2,2,2,2,2,2,2,2,6,6},
{27,14,10,14,2,4,13,2,2,16,4,4,4,6,6,6,6,6,6,25,25,31,31,15,31,2,2,31,15,14,14,6},
{30,19,24,16,22,8,2,2,22,5,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{34,28,13,28,27,27,2,4,2,2,2,16,16,4,20,20,36,20,36,5,5,5,36,36,5,5,5,7,5,7,7,2},
{35,19,33,8,21,30,8,2,4,2,4,4,2,2,2,2,2,2,2,2,2,17,2,2,11,25,11,17,17,17,17,17},
{39,40,15,21,11,26,13,2,2,13,2,2,2,2,2,2,2,2,2,2,26,26,2,2,2,2,2,2,2,2,2,2},
{37,21,35,29,27,19,19,2,2,2,5,15,2,2,15,15,19,19,19,19,19,2,2,2,2,2,19,2,2,2,2,2},
{45,44,13,25,17,47,30,2,30,2,2,2,2,2,2,2,2,2,19,19,19,17,17,2,2,2,2,2,2,2,2,2},
{35,22,37,9,35,12,35,8,2,2,50,50,2,2,32,32,32,31,13,8,8,8,2,22,50,9,9,9,22,22,22,10},
{29,24,43,36,49,2,2,8,4,25,49,25,2,2,8,10,10,10,5,5,5,40,10,33,40,40,2,27,10,25,25,25},
{50,18,32,39,21,2,2,2,4,4,36,36,14,14,14,14,2,2,2,17,17,17,16,16,2,14,14,14,14,2,2,2},
{31,28,45,20,18,43,43,13,28,2,2,2,31,31,31,31,31,2,2,2,43,43,2,2,2,2,2,2,2,2,30,2},
{39,15,41,7,24,2,2,30,40,2,2,25,25,25,25,2,2,2,2,2,2,6,6,2,25,2,5,2,2,25,2,2},
{44,20,29,39,7,21,21,21,2,2,45,2,2,2,49,49,49,49,49,2,2,2,2,2,2,2,2,2,2,2,2,2},
{56,20,22,13,18,35,35,6,2,4,2,4,2,2,2,23,16,16,4,23,2,34,52,2,34,2,4,2,2,2,23,16},
{46,32,17,18,29,27,31,31,31,2,2,4,15,2,2,2,2,2,2,2,2,2,2,2,2,2,23,32,32,32,15,15},
{62,42,43,17,23,13,13,2,2,13,2,2,2,2,2,2,2,10,2,2,2,2,9,10,2,2,2,19,9,9,9,9},
{46,49,49,52,27,7,20,2,2,6,6,13,13,13,2,13,13,2,2,2,2,2,2,34,34,2,2,2,2,2,2,2},
{64,34,16,28,16,51,47,2,2,2,6,18,39,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,2},
{74,26,44,25,50,24,54,39,58,42,2,42,42,2,2,2,2,2,2,2,2,33,33,2,2,39,11,2,2,58,39,58},
{70,22,50,22,16,9,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{74,21,17,25,35,33,10,2,10,20,20,57,57,57,2,2,57,2,2,2,2,2,2,2,13,2,2,2,2,2,2,2},
{71,68,68,27,71,39,81,44,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{55,30,85,42,16,36,45,67,2,2,68,2,2,2,2,2,2,2,68,10,2,2,2,2,2,2,2,2,2,2,2,2},
{64,17,24,26,49,12,10,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,59,2,2},
{68,57,23,38,61,38,13,13,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,68,15,2,44,44,44,2,2,2},
{94,28,58,29,13,5,15,8,66,2,2,2,39,39,15,66,2,2,6,6,2,2,66,66,66,66,2,2,2,2,2,66},
{94,85,9,41,41,37,29,29,17,2,2,2,7,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8},
{89,32,75,77,77,13,2,30,30,2,2,2,2,2,2,2,2,2,2,67,67,2,2,2,2,2,2,2,2,8,19,32},
{70,45,58,63,67,10,72,72,70,6,2,36,2,70,70,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{101,33,76,13,45,63,2,2,6,19,2,2,32,32,32,32,32,65,2,63,63,11,11,11,19,19,19,19,9,63,63,63},
{70,89,44,37,19,45,2,2,2,8,10,8,54,54,80,80,80,80,80,2,116,2,116,2,2,80,40,51,100,100,8,2},
{71,54,83,51,42,98,2,2,8,8,14,30,93,22,15,15,30,30,30,44,44,44,2,2,22,22,22,117,44,11,11,11},
{109,37,51,113,17,10,2,2,17,17,55,2,55,55,55,55,55,55,2,2,2,57,48,48,55,55,2,2,55,2,2,55},
{75,38,68,89,11,52,2,2,81,39,2,38,2,2,2,2,2,2,2,2,2,2,2,19,2,2,2,2,2,2,2,2},
{81,84,35,34,20,93,2,12,12,12,2,96,2,96,96,2,96,2,2,2,2,2,2,2,2,2,2,2,2,56,56,56},
{109,72,60,96,67,32,85,84,27,91,91,2,10,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{104,32,56,46,77,11,35,35,24,56,19,2,2,2,78,2,2,75,2,2,2,2,78,2,2,2,2,2,2,2,2,2},
{81,103,25,35,28,15,20,20,20,2,2,2,2,20,20,20,107,107,2,2,2,2,2,2,2,2,2,2,2,2,13,13},
{119,75,42,29,74,23,54,36,39,2,2,4,4,19,19,2,2,2,2,2,2,2,2,54,2,2,2,2,2,2,2,54},
{115,73,22,102,75,138,16,73,50,16,2,50,2,2,2,133,2,2,2,2,2,2,2,2,2,2,2,2,2,33,33,33},
{119,48,66,51,14,22,20,20,2,2,2,2,2,60,2,2,2,2,2,2,2,2,60,2,2,2,2,2,2,60,2,65},
{121,94,80,29,51,69,42,36,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,17,2,2},
{129,123,41,79,43,34,24,11,2,2,4,2,2,2,2,75,16,16,16,75,75,75,16,16,16,25,2,99,2,2,75,16},
{128,33,35,68,22,8,62,94,2,2,2,62,62,2,98,2,2,4,98,2,2,32,81,32,32,32,98,98,98,98,98,98},
{101,109,154,15,57,6,27,36,2,2,37,37,2,2,2,2,2,2,2,107,2,2,2,107,107,2,2,2,2,2,2,2},
{106,40,24,38,61,118,106,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{149,111,58,79,127,13,41,33,27,16,30,2,61,2,72,2,2,2,2,2,2,2,2,2,2,2,2,75,75,2,2,2},
{105,92,43,156,25,53,57,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{99,40,62,67,66,29,99,99,99,78,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,79},
{109,42,96,95,66,41,103,84,13,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{111,72,16,89,25,86,117,29,14,14,2,2,2,2,2,60,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{106,72,49,94,140,44,97,157,75,2,2,4,123,123,2,2,123,123,123,123,2,2,2,2,2,2,2,2,2,2,2,2},
{115,67,74,32,43,50,21,36,135,36,85,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{151,71,157,42,41,37,80,27,18,2,2,2,2,2,2,2,2,2,2,2,2,2,115,128,128,128,128,128,32,2,128,80},
{119,91,38,30,92,44,32,76,22,2,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,129,2,2,129,2,2,2},
{121,126,31,52,120,37,57,10,171,2,2,2,2,35,35,35,2,2,97,97,97,97,97,97,97,35,35,35,97,97,97,2},
{155,86,49,104,87,94,64,45,61,91,91,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{164,121,44,166,47,33,7,15,13,2,2,122,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{128,120,133,17,71,52,25,107,42,21,21,2,2,2,2,4,4,96,2,9,9,2,9,94,94,94,94,94,94,94,94,96},
{179,82,157,76,61,35,13,90,197,2,69,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39},
{136,136,148,63,66,10,169,95,95,163,30,28,28,2,41,130,2,2,2,21,2,2,2,2,2,2,2,2,2,2,2,36},
{131,40,112,63,55,30,53,79,79,79,2,79,2,2,2,2,2,79,2,2,2,2,14,36,2,21,21,21,21,2,2,91},
{165,81,92,48,9,110,12,40,40,34,2,2,2,107,107,107,2,107,2,2,2,2,2,2,2,2,2,2,2,15,41,41},
{169,66,170,97,35,56,55,86,32,32,2,2,2,2,14,2,40,2,37,2,2,37,40,40,40,2,2,2,37,37,37,37},
{135,63,126,156,70,18,49,143,6,117,2,109,109,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{179,104,117,56,132,56,190,130,130,15,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{193,59,51,68,68,15,170,170,170,143,143,12,2,2,2,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{145,101,56,65,23,76,110,2,4,4,4,146,146,146,2,146,2,2,2,2,2,2,2,2,2,2,2,2,2,2,146,146},
{144,129,26,98,36,46,47,52,52,52,82,2,2,2,2,2,17,2,2,2,2,2,2,2,2,2,2,2,2,91,2,2},
{145,78,166,171,56,20,63,2,2,33,33,33,33,2,78,47,47,47,47,47,2,2,2,2,2,78,78,78,2,2,2,2},
{191,69,176,54,47,75,167,2,2,2,188,188,188,30,30,2,67,67,117,2,117,117,117,2,2,36,2,2,2,2,2,2},
{186,96,29,122,47,96,170,157,157,157,157,108,159,2,195,195,26,26,26,26,26,2,2,2,2,132,132,132,2,2,2,2},
{151,118,226,91,54,49,33,2,2,2,2,4,4,4,143,143,2,2,143,25,25,25,2,143,143,143,143,143,143,143,143,143},
{144,91,237,82,81,75,138,163,163,163,117,117,44,2,44,136,136,136,136,2,2,2,2,2,122,122,122,122,2,2,2,136},
{189,78,178,64,118,27,189,2,2,67,67,110,110,110,110,2,28,28,2,2,2,2,2,2,2,102,2,2,2,2,2,2},
{165,202,83,76,125,65,42,2,44,44,23,2,23,23,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{209,204,92,75,85,146,104,2,7,18,8,2,2,2,204,95,95,95,2,2,2,95,95,95,95,95,95,95,2,2,2,95},
{169,68,89,16,193,82,33,262,262,175,148,148,148,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{171,162,78,43,61,17,112,10,171,182,118,33,2,2,2,2,118,2,2,2,2,2,2,151,2,2,2,2,2,2,2,2},
{211,121,119,55,90,211,96,89,225,25,178,36,36,36,2,2,108,2,2,2,2,2,2,2,2,2,2,2,2,184,2,2},
{154,101,83,17,16,210,41,79,70,158,2,27,27,2,2,2,2,2,2,2,2,2,2,2,2,153,2,2,2,2,2,2},
{169,179,130,79,148,180,136,17,47,119,2,119,119,169,169,2,169,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{241,171,148,31,172,34,66,60,156,140,2,2,2,75,75,2,2,2,2,2,2,2,190,190,2,2,2,30,2,2,2,2},
{229,189,183,106,118,138,82,149,265,39,2,2,265,2,2,2,2,2,2,130,2,2,2,71,71,2,2,2,71,2,2,71},
{165,157,127,21,64,15,80,130,130,130,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,74,2},
{221,130,203,84,83,83,29,121,54,54,2,141,2,2,94,94,94,4,4,4,2,4,2,2,2,54,54,108,16,16,94,52},
{230,166,20,160,121,102,153,94,16,67,2,2,2,2,2,2,97,97,97,2,2,97,97,2,97,97,97,97,97,97,97,97},
{181,79,137,119,139,24,77,17,50,25,25,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,242,192,40,41,62,124,193,193,31,193,2,2,2,2,2,2,2,2,2,2,2,2,148,2,2,2,2,2,2,2,2},
{239,178,73,122,239,51,95,48,78,88,78,2,2,2,2,2,2,2,2,2,2,2,144,144,2,2,144,144,144,2,144,144},
{234,117,198,34,143,21,74,6,252,252,98,2,2,2,2,197,38,2,2,2,2,2,47,2,47,47,47,47,2,2,2,47},
{179,110,38,28,58,39,16,29,42,125,202,8,8,129,4,4,2,2,2,67,67,2,2,2,2,2,2,8,67,67,2,2},
{246,53,189,50,18,59,179,179,7,137,137,2,2,103,103,103,103,40,40,40,2,2,2,2,73,73,73,2,103,103,103,103},
{239,133,87,92,193,12,206,238,238,238,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{191,244,60,193,18,32,193,104,74,125,125,66,2,2,2,2,2,2,2,2,2,2,125,125,2,125,125,125,2,2,2,2},
{177,74,90,91,172,219,63,84,32,2,2,196,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{253,143,54,39,122,32,75,107,234,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{282,89,71,88,30,23,81,105,105,2,2,105,105,131,107,2,2,2,2,2,195,195,2,2,29,29,21,21,128,195,195,195},
{259,115,171,40,156,71,67,24,24,2,2,2,24,4,4,4,2,234,2,2,2,2,2,2,2,2,2,74,74,2,2,2},
{264,237,49,203,247,108,75,75,75,2,2,32,16,8,16,16,16,164,14,164,2,2,32,16,8,16,16,32,42,42,42,2},
{264,106,89,51,29,226,23,286,286,151,151,151,151,151,2,2,2,2,2,2,31,31,31,2,2,2,2,2,2,2,2,284},
{194,215,82,23,213,23,108,127,74,2,201,32,178,2,285,2,2,2,2,285,2,2,2,2,2,2,2,2,2,2,2,2},
{196,267,251,111,231,14,30,52,95,2,154,53,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{266,67,22,101,102,157,53,95,130,2,42,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{281,205,107,178,236,122,122,316,76,215,215,2,60,2,2,2,2,2,2,227,2,2,2,2,2,2,2,2,27,2,2,2},
{271,89,65,195,132,162,102,45,56,174,104,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{200,169,170,121,155,68,131,167,78,113,113,2,2,64,2,2,2,2,2,2,2,2,2,2,2,2,2,173,2,2,2,2},
{288,143,265,264,71,19,231,169,27,27,27,2,2,2,2,2,2,2,2,2,2,2,2,2,51,2,2,2,2,2,2,2},
{311,141,96,173,90,119,134,151,35,252,39,2,39,39,2,2,2,2,2,2,2,2,2,113,113,2,2,2,2,2,2,113},
{311,230,52,138,225,346,162,216,216,91,160,182,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{275,167,128,244,184,184,44,210,237,139,139,139,139,2,2,2,2,2,2,2,2,2,2,73,2,2,2,2,2,2,2,2},
{176,156,83,135,46,197,108,63,33,33,33,2,133,2,213,213,213,213,133,133,2,133,2,2,133,133,2,2,2,2,2,2},
{283,125,141,192,89,181,106,208,124,124,2,112,112,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{289,191,171,152,191,173,54,13,21,56,56,56,2,2,2,2,2,2,2,2,2,220,2,2,2,2,2,2,2,2,2,2},
{334,305,132,132,99,126,54,116,164,105,2,105,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,287,2,2,2,2},
{240,166,44,193,153,333,15,99,246,99,2,2,99,99,2,2,2,2,195,195,195,2,195,195,2,263,263,2,195,195,195,263},
{246,194,265,79,225,65,24,62,46,181,2,2,2,314,2,2,2,2,2,2,2,215,2,2,2,2,2,2,2,2,2,2},
{229,334,285,302,21,26,24,97,64,40,2,2,2,231,231,231,231,65,2,148,2,2,2,2,2,2,2,2,2,2,2,2},
{251,295,55,249,135,173,164,78,261,261,2,2,2,2,114,2,2,2,2,2,256,142,142,2,2,2,2,2,2,2,2,185},
{232,153,55,60,181,79,107,70,29,35,2,2,58,58,2,58,2,2,2,2,61,61,2,61,61,2,2,61,61,90,2,90},
{246,116,45,146,109,90,32,103,133,119,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{246,113,146,232,162,262,204,47,45,331,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,150,84,275,13,26,368,49,244,244,63,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,295,174,87,30,87,85,36,103,36,2,278,2,2,2,2,2,2,163,2,2,2,2,2,2,2,2,2,2,2,2,2},
{356,300,75,310,123,301,200,107,183,37,218,37,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{358,207,168,150,150,21,156,50,195,275,275,275,2,2,2,2,2,251,2,2,2,251,251,251,251,251,251,251,251,251,2,2},
{322,194,234,62,236,147,239,400,255,255,80,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{326,276,134,100,143,113,115,221,13,339,194,194,194,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{337,132,27,45,14,81,110,84,238,224,211,2,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{192,213,113,174,403,117,342,342,311,35,35,2,2,2,2,2,2,2,2,101,2,2,2,2,2,2,2,2,2,101,101,101},
{264,273,316,53,40,330,51,285,115,219,147,2,2,2,335,2,2,2,2,2,173,2,173,2,2,173,173,173,173,173,173,83},
{254,293,407,118,54,296,160,231,4,4,93,2,2,2,2,2,60,61,2,2,120,127,127,127,88,88,88,88,88,88,88,88},
{341,78,336,263,281,164,99,334,296,114,109,2,163,163,163,163,2,2,2,2,2,2,2,125,125,292,292,292,292,125,125,125},
{355,87,212,100,89,210,133,344,120,45,45,138,138,138,138,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{274,141,46,219,158,284,38,79,73,185,35,6,81,2,2,2,2,53,2,2,81,81,2,81,2,2,2,53,53,53,53,53},
{349,303,439,19,95,240,174,191,2,162,162,2,2,2,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,91,201,205,67,181,59,77,2,44,103,103,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,125},
{283,154,261,91,77,147,227,105,116,311,256,256,2,116,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,32,2},
{287,288,111,89,249,370,55,16,248,67,67,115,2,2,134,134,2,2,2,2,2,2,2,2,2,2,2,2,2,22,22,22},
{284,270,282,37,29,181,160,49,285,285,374,250,2,374,374,2,2,2,179,179,35,2,179,179,2,179,179,2,2,285,285,285},
{359,305,52,36,243,231,7,92,2,68,68,307,62,45,2,2,112,311,311,311,2,2,2,2,2,2,2,2,2,2,2,2},
{288,119,218,137,364,38,27,380,2,2,211,23,33,2,2,2,2,2,225,225,225,2,2,225,225,225,2,2,2,2,2,2},
{277,155,232,309,370,365,348,75,214,214,214,4,4,2,2,2,210,210,210,210,210,210,210,2,2,2,2,2,2,2,2,2},
{292,204,91,41,124,190,107,322,125,125,125,125,125,25,25,62,2,2,146,146,2,2,62,146,2,146,114,146,114,2,2,2},
{282,195,192,409,68,99,253,106,2,2,2,231,55,55,2,323,323,55,55,285,285,285,285,2,2,2,2,2,2,285,285,323},
{299,122,174,403,113,77,63,275,2,2,2,138,276,227,38,227,2,237,2,2,2,2,2,2,2,2,2,2,352,352,352,2},
{282,222,268,86,21,109,353,408,2,2,2,2,135,12,12,216,241,241,241,241,241,241,241,241,241,303,303,303,135,135,135,2},
{374,94,89,257,137,246,186,196,2,2,2,2,2,454,122,122,122,122,2,2,2,28,28,94,94,94,94,94,122,122,122,122},
{288,92,62,428,122,153,481,66,2,2,2,250,250,177,177,177,177,279,279,279,279,279,279,279,2,2,279,177,177,177,177,177},
{288,370,141,284,207,192,450,67,2,2,2,183,217,217,217,183,183,167,202,202,202,202,167,167,2,2,2,164,164,80,167,167},
{286,293,199,39,158,332,242,103,2,2,2,408,266,315,2,2,365,253,315,315,315,315,315,2,2,315,2,2,2,2,2,2},
{407,83,435,187,40,16,52,65,2,2,244,39,77,119,119,2,2,2,119,342,342,2,2,2,2,2,342,2,2,58,58,119},
{398,88,78,57,260,203,203,43,131,131,131,204,204,322,204,2,102,2,325,325,325,325,2,2,2,2,2,2,2,2,2,2},
{390,174,70,155,163,67,225,49,2,34,34,151,151,2,2,111,2,2,111,111,2,2,2,2,2,2,2,2,2,2,2,2},
{393,129,393,169,23,192,168,47,2,2,312,150,71,2,150,2,2,2,61,2,2,61,2,2,2,2,2,2,2,2,2,2},
{408,136,71,63,63,159,222,68,181,181,124,227,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{294,169,79,242,160,123,178,290,186,186,56,399,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,228,69,68,193,122,21,362,33,22,362,57,2,2,2,2,46,46,196,196,196,2,196,196,196,2,196,2,2,2,2,2},
{415,130,241,185,312,175,309,199,94,281,47,47,2,2,2,2,206,307,221,2,2,2,2,2,239,239,239,239,239,206,206,206},
{417,238,147,165,346,19,92,164,266,291,291,43,2,2,2,345,2,2,2,345,345,2,2,2,2,2,345,2,2,2,2,2},
{456,192,86,182,35,174,342,102,210,210,210,393,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,256,256,158},
{307,255,92,38,325,61,103,246,176,319,80,89,2,241,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,168,63,154,166,46,479,145,144,288,288,288,288,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{341,256,113,85,188,233,161,29,110,167,91,91,253,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{311,360,312,158,73,16,106,209,472,48,24,203,203,2,2,2,2,234,234,234,2,234,234,203,2,2,2,234,234,234,234,234},
{437,196,161,100,132,246,395,187,35,35,35,2,2,35,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{438,174,338,145,155,276,422,374,4,463,463,99,224,70,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{426,225,211,130,325,283,353,96,282,23,299,2,2,2,63,63,2,276,276,2,2,2,2,2,2,2,2,2,2,2,2,2},
{430,101,288,38,200,332,325,193,123,123,88,2,2,2,2,2,231,231,139,139,139,139,139,139,139,139,139,139,139,139,139,139},
{434,143,308,389,365,363,174,63,121,125,260,2,2,260,260,2,2,2,2,2,2,2,2,2,2,258,2,2,2,258,2,2},
{453,123,201,141,229,223,234,494,102,102,102,2,2,102,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,252},
{438,168,65,264,304,74,168,88,114,132,187,2,127,127,2,2,2,2,2,81,81,56,2,2,2,307,2,2,2,2,81,81},
{324,181,141,129,33,171,173,291,227,373,52,301,301,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{448,119,431,111,135,50,242,95,148,49,49,49,68,2,2,2,2,2,2,2,2,49,2,2,2,2,2,2,2,2,2,2},
{335,114,55,47,33,173,287,345,198,198,136,238,238,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{468,377,243,237,332,512,27,167,22,169,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{456,162,188,223,408,209,28,164,299,299,258,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{445,391,115,226,96,456,239,214,556,158,158,282,2,2,2,2,2,2,2,2,2,2,2,2,2,331,2,2,2,2,2,2},
{360,397,130,172,407,479,295,13,38,199,199,346,2,2,2,2,2,2,145,2,2,2,2,2,2,2,2,2,2,2,2,2},
{512,136,129,361,180,61,274,128,422,27,292,165,2,2,2,2,2,2,363,117,117,117,117,2,2,2,2,363,2,2,2,2},
{478,433,483,302,200,227,273,27,171,171,371,102,2,2,2,2,2,20,2,2,2,2,2,2,2,2,403,403,2,2,2,2},
{485,158,454,86,212,60,93,40,209,188,188,106,2,231,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{390,448,111,145,47,555,367,317,315,52,429,435,429,429,2,2,2,2,2,2,2,2,229,2,2,229,2,2,2,229,2,2},
{490,331,187,398,407,373,497,219,423,423,378,378,2,419,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{378,406,112,198,539,550,516,59,240,240,23,316,2,122,2,2,2,2,2,2,2,2,2,2,111,111,2,2,2,95,2,2},
{474,373,248,330,40,113,105,273,103,407,2,165,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,406,306,239,172,323,236,50,37,435,2,310,56,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{498,447,112,241,552,119,227,189,140,140,140,140,140,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{505,132,169,418,342,28,319,301,172,530,317,317,335,2,2,2,2,2,2,376,2,2,2,2,2,2,2,2,2,2,2,2},
{397,393,191,269,462,151,264,134,307,307,2,163,163,2,2,2,2,2,2,2,2,2,2,2,2,2,159,2,2,2,2,2},
{485,491,325,149,122,145,228,100,311,64,2,62,137,2,137,2,2,2,2,2,2,2,392,2,2,2,2,2,2,2,2,2},
{364,462,360,383,182,187,123,69,129,146,2,156,149,2,149,2,2,2,2,2,2,2,303,303,303,2,2,2,2,2,149,266},
{507,195,130,401,363,171,483,20,86,464,2,89,89,2,26,2,2,2,2,2,425,425,2,2,2,2,2,2,2,2,2,2},
{380,220,87,122,242,78,207,371,95,305,2,2,2,2,440,440,445,358,358,331,331,358,445,445,445,445,445,445,445,445,445,445},
{507,221,247,137,182,90,28,207,325,438,2,2,2,2,2,187,232,438,2,2,68,37,37,37,37,37,37,37,37,37,161,2},
{509,265,101,126,203,86,152,416,352,85,2,2,2,284,391,368,2,2,152,2,2,2,325,2,2,2,2,2,2,2,2,2},
{572,359,332,480,68,535,59,504,365,21,2,2,246,54,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,178,178,372,415,400,73,82,348,99,2,23,325,44,2,2,2,2,2,2,2,2,325,2,2,2,2,2,2,2,2,2},
{430,275,236,361,42,552,368,236,653,74,65,458,288,307,307,2,2,2,2,2,2,2,65,65,2,2,2,2,2,2,2,2},
{434,139,58,437,130,441,188,15,63,145,145,145,300,2,2,2,2,300,2,2,2,2,2,2,2,2,401,401,401,401,401,401},
{542,138,266,514,552,202,103,197,574,48,2,96,96,2,2,96,96,217,2,2,2,2,2,2,2,2,2,2,2,2,2,217},
{546,494,72,272,550,219,213,209,169,404,69,464,86,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{602,466,332,458,99,244,255,183,446,670,2,186,323,2,2,2,2,2,2,2,2,2,2,2,2,2,2,292,165,165,165,165},
{422,413,561,110,242,62,436,478,18,150,606,88,643,2,249,2,2,2,2,456,2,2,2,2,2,2,2,2,2,2,2,456},
{522,141,154,253,264,53,120,93,274,52,44,203,556,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{600,249,375,555,421,322,317,84,517,517,268,106,353,2,2,2,2,2,2,2,2,2,268,2,2,2,2,2,2,302,2,2},
{555,516,310,438,290,559,52,265,248,193,285,441,285,285,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{555,300,232,386,470,300,355,177,57,407,450,279,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{544,177,79,306,256,402,205,496,398,115,115,43,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{534,274,194,220,575,81,206,544,341,85,137,429,429,429,429,344,2,2,2,2,2,315,315,315,315,315,315,72,72,72,2,2},
{400,136,112,136,273,277,205,578,122,122,230,230,2,2,2,2,2,2,2,2,2,2,2,2,2,2,302,2,2,2,2,2},
{576,421,115,52,253,373,17,657,43,178,178,58,485,485,485,485,485,485,2,2,2,159,159,159,159,2,619,2,2,2,2,2},
{576,301,142,329,96,41,302,528,126,112,206,206,2,2,2,2,2,2,206,206,2,206,206,2,191,206,206,191,191,191,191,206},
{548,538,508,250,539,102,73,285,119,433,480,480,2,2,2,480,480,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{622,526,294,56,498,176,237,351,25,26,474,55,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{446,163,469,481,240,278,51,373,491,13,22,419,2,2,2,2,2,2,2,2,2,176,176,2,2,2,2,2,2,2,2,2},
{445,223,102,108,120,166,68,214,737,504,96,96,206,377,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39,528},
{453,121,489,84,434,505,78,575,468,372,468,468,83,468,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{425,355,128,58,194,82,438,117,10,34,34,35,112,107,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,479,328,443,253,634,271,429,406,543,406,543,543,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{433,294,192,205,152,70,99,68,392,169,309,390,390,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,199,2,2,2},
{456,383,487,311,57,579,673,264,582,187,184,43,43,2,2,2,2,501,501,501,2,2,2,2,2,2,2,2,2,2,2,2},
{437,561,384,619,363,420,614,117,217,247,405,142,142,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{434,372,239,508,478,26,375,255,151,151,650,112,251,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{437,133,516,423,305,90,135,25,266,487,6,286,286,2,2,2,2,2,2,2,2,2,2,2,2,510,510,2,2,2,2,2},
{463,341,170,401,178,79,305,98,162,166,32,392,335,335,335,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{610,477,478,516,318,184,267,423,190,494,494,2,336,336,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{611,211,491,224,47,54,124,268,271,271,223,2,2,2,2,2,2,2,2,2,2,2,2,359,2,2,2,2,2,2,2,2},
{590,463,461,162,162,622,167,254,29,377,377,75,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{478,388,612,404,491,561,180,80,262,58,94,2,2,275,2,2,2,2,2,151,2,2,2,2,2,312,312,312,2,2,2,275},
{629,225,67,623,298,588,354,49,41,185,176,63,63,63,2,2,2,2,2,2,2,2,2,2,2,2,8,435,32,32,435,435},
{671,275,392,298,612,328,337,215,58,58,124,2,2,490,392,2,2,2,125,457,457,2,2,2,2,2,2,2,2,2,2,457},
{448,126,129,168,209,340,40,96,509,509,509,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{667,246,160,68,737,203,168,628,46,128,358,2,2,2,121,121,2,2,2,2,2,2,560,121,2,2,2,2,2,2,2,121},
{635,212,284,356,187,591,275,361,194,317,488,2,2,2,2,2,2,97,6,2,6,247,2,2,2,2,2,2,2,2,2,6},
{612,395,104,86,264,321,521,325,252,53,178,100,100,100,16,343,343,343,343,343,2,2,2,2,2,2,2,2,2,343,343,343},
{486,428,287,472,292,141,504,178,585,98,282,2,2,2,2,2,2,2,2,2,2,2,2,284,284,284,78,284,2,2,2,2},
{612,327,212,565,450,385,201,649,423,491,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{462,579,236,447,60,162,427,258,73,742,742,2,742,742,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,440,89,439,65,207,459,407,139,131,624,2,380,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{469,507,276,227,66,237,260,386,27,666,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{646,393,273,238,24,13,253,127,368,316,316,316,150,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{626,196,111,465,386,431,181,414,614,391,349,318,389,2,389,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{667,257,290,122,109,523,95,26,282,49,374,236,236,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,88,2,2},
{653,169,261,533,488,282,213,443,337,480,503,174,534,2,2,2,2,2,534,2,2,2,2,534,2,2,2,2,534,2,2,2},
{670,555,160,90,604,604,50,459,376,545,316,180,526,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{639,253,95,380,108,448,223,254,381,30,6,644,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{642,160,702,90,157,254,278,521,650,277,74,554,122,2,2,2,2,2,2,517,174,174,174,2,2,2,2,2,2,2,2,2},
{678,254,190,197,637,49,130,25,374,357,357,411,643,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,537,2,2},
{512,347,65,546,434,87,18,123,672,412,316,6,699,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{657,233,108,38,147,53,136,168,408,477,477,279,268,289,2,2,2,2,2,2,289,2,2,2,2,2,2,2,2,289,289,2},
{498,431,217,101,78,143,111,113,181,825,458,140,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{660,624,376,472,165,66,158,308,492,779,305,305,2,576,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{521,249,388,155,467,245,134,311,72,312,312,623,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{408,348,216,299,302,668,347,63,172,141,272,168,678,2,2,2,512,2,2,2,2,4,2,2,2,494,64,64,64,128,16,512},
{669,421,230,70,212,845,237,347,148,76,823,472,2,2,2,132,2,2,2,2,2,2,2,383,132,383,2,2,383,383,383,383},
{693,530,139,82,780,416,270,278,330,484,484,200,2,2,2,2,137,94,2,2,2,2,2,2,2,2,484,2,2,2,2,2},
{672,150,164,622,196,75,302,119,42,314,314,132,60,60,60,298,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{705,302,411,705,691,160,809,40,32,867,826,826,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{684,229,138,46,407,399,82,254,267,31,31,45,2,209,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{707,323,409,27,31,157,492,463,886,412,251,251,304,190,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{715,521,636,304,402,459,435,571,611,214,214,43,43,358,2,2,2,2,358,2,2,2,2,2,2,358,358,358,2,2,358,358},
{768,224,219,425,467,147,151,643,316,263,263,263,263,263,2,2,2,2,2,272,139,2,2,2,2,2,2,2,2,2,272,53},
{555,543,434,78,850,174,277,194,4,100,471,69,69,424,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{690,206,572,877,600,129,288,52,19,147,222,222,147,147,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{793,279,264,566,252,495,872,492,482,107,294,503,350,350,2,2,2,2,2,2,2,285,285,273,273,273,273,2,2,2,2,2},
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{791,275,60,137,352,839,67,476,356,216,216,563,563,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{563,325,717,766,440,705,290,123,228,2,2,2,32,64,146,2,2,2,116,79,79,2,146,146,79,79,79,2,2,146,146,79},
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{1005,260,389,960,501,714,118,73,334,1019,704,204,504,205,822,822,2,2,2,2,2,2,2,2,2,2,684,2,2,2,2,2},
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{807,433,721,434,449,242,170,842,21,4,642,2,2,2,2,2,4,4,4,4,2,856,856,856,885,885,856,856,856,856,856,885},
{1004,719,1041,460,551,516,135,417,130,698,698,2,2,2,655,655,655,655,655,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{820,249,292,1017,1017,143,403,37,433,456,515,2,2,69,640,2,2,2,2,2,2,2,2,2,2,2,2,824,824,824,2,2},
{865,1132,428,582,254,408,536,376,825,116,116,1266,1266,1266,705,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{635,503,594,203,456,1246,221,396,1151,178,66,2,781,587,86,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1157,395,446,280,1130,695,668,271,111,882,477,615,615,615,2,2,2,2,2,2,2,2,615,615,615,615,615,615,615,2,305,2},
{830,397,932,519,818,113,367,694,88,535,535,414,343,175,2,2,2,2,2,2,2,2,2,2,414,864,2,2,864,864,864,864},
{793,463,329,730,390,551,968,92,511,470,424,563,672,563,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1050,749,809,479,87,757,288,172,597,722,4,418,418,390,2,2,2,2,2,390,390,2,2,2,2,2,2,2,2,2,2,2},
{1090,255,271,110,159,235,158,236,271,815,1300,416,416,416,2,2,416,416,2,2,2,399,791,791,2,791,2,2,2,2,791,791},
{1058,417,271,172,312,363,184,191,28,183,759,214,759,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1057,385,263,395,901,274,727,340,1117,263,813,870,858,429,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1102,846,985,1085,764,124,764,51,874,612,478,801,478,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1120,665,311,695,319,1033,511,297,602,1030,1030,714,240,240,2,2,2,2,2,2,2,2,2,2,2,2,2,953,2,2,2,2},
{1106,662,258,190,1315,214,530,263,318,904,877,1317,318,2,510,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1206,469,299,1052,655,114,189,213,321,188,64,475,475,2,2,662,662,662,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1120,1159,358,347,838,207,357,167,476,52,672,38,822,2,2,2,2,2,2,213,2,2,2,2,2,2,2,2,2,2,2,2},
{1076,596,553,545,79,727,881,121,298,169,639,368,695,115,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1130,177,84,673,350,543,543,95,128,954,430,884,884,2,884,884,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{820,461,681,382,273,273,358,274,274,91,887,676,386,2,676,676,2,2,2,2,2,2,2,200,2,2,2,2,200,2,2,2},
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{1001,644,263,164,136,939,624,95,489,1023,1107,331,331,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{1058,454,1557,191,129,297,695,1390,1274,460,923,923,923,2,4,1059,2,2,2,2,2,2,2,2,2,2,2,2,2,1059,2,2},
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{1062,212,784,63,252,873,1302,1108,1380,84,1375,1375,1375,2,2,2,375,374,2,980,2,2,2,980,980,980,2,2,2,2,2,2},
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{1531,621,210,755,482,82,1308,317,427,168,2,232,116,190,701,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,701},
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{1102,785,118,93,1491,988,275,53,1328,26,2,2,240,647,240,761,761,761,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1478,722,113,1534,1751,115,1728,1234,777,282,508,508,1184,63,1184,855,855,2,2,2,738,738,578,578,2,2,2,2,2,2,2,2},
{1482,961,1093,556,1746,628,427,689,510,751,684,37,37,1229,1256,882,1507,1507,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1228,425,1030,699,407,171,568,925,1104,97,2,2,1286,1286,1286,502,2,1219,1219,1219,1290,2,1219,1219,1219,1219,2,2,2,59,2,2},
{1547,657,777,695,1254,224,933,367,212,385,2,2,2,1422,749,245,885,710,2,2,710,710,710,45,710,710,710,710,2,336,710,2},
{1559,462,850,289,1570,71,512,858,810,835,2,2,2,2,1028,1205,1205,546,546,546,1205,1205,1205,1205,1205,2,1205,1205,1205,1205,1205,1205},
{1192,888,701,164,131,613,282,237,525,366,2,2,2,2,1737,845,845,750,2,1062,1062,1062,1062,1062,1062,1062,1062,1062,1062,2,1261,1261},
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{1605,1499,454,1072,686,732,309,295,940,551,2,2,880,264,264,973,2,2,72,314,2,2,2,890,890,2,2,2,2,2,2,2},
{1598,397,1471,1471,1162,866,236,948,1557,737,2,2,153,737,1408,765,765,608,2,2,2,171,608,608,608,608,2,608,608,2,2,2},
{1598,434,107,270,148,1317,835,123,642,1236,2,2,67,633,771,878,771,878,878,2,2,2,771,2,2,2,2,2,2,2,2,2},
{1628,1502,1042,822,80,403,1335,684,464,426,671,671,336,336,336,2,425,896,2,2,2,2,1337,1337,1337,1337,1337,1337,2,2,2,2},
{1607,1503,1072,471,221,277,854,1236,263,752,2,694,1657,934,553,2,2,2,498,498,2,802,2,46,2,2,2,2,2,2,2,2},
{1756,1359,698,1584,446,724,729,419,660,1305,2,244,244,244,540,540,540,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1263,835,1533,789,1259,174,1497,557,644,203,2,289,604,434,434,434,2,844,844,2,2,2,1111,1111,1111,2,2,2,2,2,2,2},
{1797,904,172,659,349,177,692,448,1141,990,640,99,1073,806,640,640,2,640,640,911,911,911,640,640,640,640,2,2,2,2,2,2},
{1276,442,1008,1352,243,162,711,301,552,1002,668,668,384,71,384,384,2,2,2,2,2,727,727,727,777,777,777,777,777,777,2,777},
{1600,1130,171,1113,813,722,117,990,37,24,969,94,825,1398,1398,1398,1398,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1682,449,1067,393,136,854,36,492,637,1053,247,1111,1111,1111,2,247,247,247,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1601,697,532,408,697,1140,1568,47,1499,780,1171,318,318,318,2,2,2,2,318,318,2,2,2,2,2,2,2,2,2,2,2,2},
{1283,1078,791,873,655,412,389,835,292,958,1245,678,1611,1519,2,2,185,2,2,2,2,2,2,1245,1245,2,2,2,2,2,2,1245},
{1822,589,236,205,797,39,241,1048,181,386,102,102,102,111,1361,1361,1361,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1342,705,302,595,1200,52,83,647,519,139,103,103,103,513,2,513,2,2,2,2,2,513,2,2,2,2,2,2,2,2,2,2},
{1636,974,279,419,893,1608,1491,156,1486,115,730,730,863,509,924,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1732,1771,584,533,297,1056,669,293,146,311,1176,311,590,590,277,2,2,2,2,2,2,2,2,2,539,539,2,2,2,2,2,2},
{1360,383,1470,502,1010,153,1588,619,1246,396,1107,1107,112,423,423,2,2,2,2,2,202,2,2,2,2,2,2,2,2,2,2,2},
{1747,611,1788,1446,152,1335,710,1040,639,1279,788,788,265,1441,107,2,2,2,2,1441,1441,1441,1441,938,938,938,938,2,2,867,867,1441},
{1682,867,333,102,628,891,654,506,995,684,961,563,1313,1313,1313,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1875,1576,924,677,461,134,1525,1619,44,701,299,743,728,791,791,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,791,791},
{1744,1011,935,492,158,1645,795,1056,74,679,367,675,675,1229,1229,1229,2,2,2,2,2,2,2,2,2,2,2,2,2,1229,2,2},
{1763,1018,1859,432,717,723,874,1294,1050,1800,1237,619,1074,2,10,1237,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1376,652,461,225,361,936,1073,1279,149,619,983,511,1994,2,2,1076,1076,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1780,1739,1357,1684,1586,736,208,966,1691,339,339,128,128,2,2,128,128,128,2,2,128,2,2,2,2,1929,2,2,338,2,2,338},
{1289,907,228,665,1695,1735,489,214,762,1777,321,1674,932,2,2,2,2,1358,709,2,1959,1959,372,2,2,372,372,2,2,372,372,372},
{1802,1645,453,1079,604,618,334,855,541,167,37,88,849,2,2,518,518,2,2,530,2,2,2,2,2,2,2,119,119,2,2,2},
{1322,512,560,432,365,87,1835,1137,515,1271,1739,309,309,1229,1229,1229,2,2,2,2,2,2,2,2,416,416,416,416,2,2,2,2},
{1444,394,1613,796,645,1406,186,158,402,1364,314,588,606,2,577,117,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1325,1300,1353,1575,33,730,46,1476,84,84,189,457,352,2,1479,2,2,2,2,2,2,2,2,2,2,2,2,1565,2,2,2,2},
{1343,365,790,1047,983,1015,918,1469,1416,126,1238,1238,1238,1238,151,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1861,1487,419,97,799,1791,458,1029,370,627,57,414,414,1540,247,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1480,1131,1089,1688,340,962,505,1816,139,44,1350,403,1385,1996,173,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1328,601,601,617,554,467,391,1545,162,1361,807,1565,1565,243,1344,2,725,510,510,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1892,441,977,228,1252,604,735,136,889,878,1319,1319,2127,2127,1963,367,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1898,787,769,1166,799,479,1066,390,821,1061,201,201,1339,703,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1850,1476,792,840,2037,229,1578,526,431,1485,1450,1001,1001,1001,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1948,1530,576,582,1069,119,2131,41,1178,1677,1677,1677,325,346,2,2,2,2,2,2,1401,2,33,2,2,2,2,2,2,71,71,71},
{1540,791,518,419,1130,1068,299,1386,1378,134,859,859,71,162,2,71,71,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1889,1210,1246,1326,668,1199,77,565,1277,1607,874,1433,1433,77,2,681,2,2,2,2,2,2,2,679,2,2,2,2,2,2,2,2},
{1520,1107,1082,687,484,1732,676,1595,467,653,1091,428,2113,332,332,332,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1534,854,2007,1207,947,1773,1571,1505,909,1471,1655,1655,2334,1327,409,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2145,1069,662,709,737,1141,1737,827,1384,1628,107,107,1032,277,277,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1600,1823,1698,1268,623,583,1932,1674,522,529,1862,1281,246,989,246,2,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1570,1504,1414,1143,1999,1932,1015,1015,556,514,626,79,2,79,1795,1461,1461,2,2,2,2,2,2,2,1461,1461,1461,1461,1461,2,2,2},
{1976,1433,820,504,421,1007,388,1083,635,82,1524,750,2,2,870,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2008,1773,416,1954,1314,742,1694,505,202,1747,785,375,2,2,2,477,1538,477,2,2,2,2,2,1309,1309,1309,1309,2,2,2,1309,2},
{1480,807,1596,520,1139,213,1581,460,923,617,1305,939,2,2,2,2,53,53,1589,284,2,2,1589,1589,1589,1589,1589,1589,1589,1589,1589,1589},
{1628,846,1504,138,464,401,501,506,967,1027,1540,1035,2,1921,1539,1539,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2304,1948,316,1063,237,607,1143,2575,1388,1022,127,251,2,438,1570,1570,1570,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1600,1338,196,1510,1371,1138,957,169,545,1176,1131,2460,1708,541,541,2,363,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1736,2186,725,1844,1638,825,592,648,193,1241,462,462,45,264,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
};

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@ -0,0 +1,881 @@
#define KOROBOV_MINDIM 2
#define KOROBOV_MAXDIM 33
#define MAXPRIME 9689
#define Hash(x) ((19945 - x)*(-47 + x))/121634
static int prime[] = {
FIRST,47,53,59,67,71,79,83,89,97,103,109,113,127,131,137,139,149,151,
157,163,173,179,181,191,193,199,211,223,227,229,233,239,241,251,257,263,
269,277,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,
389,397,401,409,419,421,431,433,439,443,449,457,461,467,479,487,491,499,
503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,
619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,
743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,
863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,
997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,
1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,
1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,
1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,
1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,
1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,
1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,
1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,
1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,
1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,
2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,
2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,
2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,
2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,
2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,
2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,
2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,
2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,
2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,
3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,
3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,
3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,
3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,
3511,3517,3527,3529,3533,3539,3547,3557,3571,3581,3583,3593,3607,3613,
3623,3631,3643,3659,3671,3673,3677,3691,3701,3709,3719,3733,3739,3761,
3767,3769,3779,3793,3797,3803,3821,3833,3847,3851,3853,3863,3877,3889,
3907,3911,3917,3929,3943,3947,3967,3989,4001,4003,4007,4013,4019,4027,
4049,4051,4057,4073,4079,4091,4099,4111,4127,4133,4139,4153,4159,4177,
4201,4211,4217,4219,4229,4231,4243,4259,4271,4283,4289,4297,4327,4337,
4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4451,4463,4481,
4483,4493,4507,4517,4523,4547,4549,4561,4567,4583,4597,4603,4621,4637,
4639,4651,4663,4673,4691,4703,4721,4723,4733,4751,4759,4783,4787,4789,
4801,4813,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4943,4957,
4969,4987,4993,5003,5021,5023,5039,5051,5059,5077,5087,5101,5119,5147,
5153,5167,5171,5179,5189,5209,5227,5231,5237,5261,5273,5281,5297,5309,
5323,5333,5347,5351,5381,5387,5399,5413,5431,5437,5449,5471,5479,5501,
5507,5519,5531,5557,5563,5573,5591,5623,5639,5641,5647,5657,5669,5683,
5701,5711,5737,5743,5749,5779,5783,5801,5813,5827,5843,5857,5869,5881,
5903,5923,5927,5953,5981,5987,6007,6011,6029,6037,6053,6067,6089,6101,
6113,6131,6151,6163,6173,6197,6211,6229,6247,6257,6277,6287,6311,6323,
6343,6359,6373,6389,6421,6427,6449,6469,6481,6491,6521,6529,6547,6563,
6581,6599,6619,6637,6653,6673,6691,6709,6733,6737,6763,6781,6803,6823,
6841,6863,6883,6899,6917,6947,6961,6983,7001,7019,7043,7057,7079,7103,
7127,7151,7159,7187,7211,7229,7253,7283,7297,7321,7349,7369,7393,7417,
7433,7459,7487,7507,7537,7561,7583,7607,7639,7669,7687,7717,7741,7759,
7793,7823,7853,7883,7907,7937,7963,7993,8039,8059,8093,8123,8161,8191,
8221,8263,8297,8329,8369,8419,8447,8501,8527,8563,8609,8663,8699,8747,
8803,8849,8893,8963,9029,9091,9157,9239,9319,9413,9533,MarkLast(9689)
};
static short coeff[][32] = {
{13,11,10,3,9,2,2,2,2,9,2,2,7,2,2,2,2,2,2,6,2,2,2,13,11,10,3,9,2,2,2,2},
{23,17,12,11,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,12,14,14,14},
{18,14,5,14,2,2,19,19,25,25,18,18,18,2,2,2,2,2,2,2,2,2,2,2,25,6,2,2,2,18,14,5},
{18,13,23,5,2,12,6,12,12,12,10,10,16,2,16,16,2,2,2,2,2,2,2,10,2,2,2,2,10,2,2,2},
{21,22,7,21,2,20,20,2,2,2,2,22,2,2,2,2,2,2,2,6,6,21,2,2,2,2,2,2,2,2,6,6},
{29,19,27,32,6,8,2,2,2,2,2,8,8,2,2,2,2,9,9,9,9,2,2,2,2,2,2,2,9,9,2,2},
{30,19,24,16,22,8,2,2,22,5,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{34,28,13,28,27,27,2,4,2,2,2,16,16,4,20,20,36,20,36,5,5,5,36,36,5,5,5,7,5,7,7,2},
{35,19,33,8,21,30,8,2,4,2,4,4,2,2,2,2,2,2,2,2,2,17,2,2,11,25,11,17,17,17,17,17},
{37,21,35,29,27,19,19,2,2,2,5,15,2,2,15,15,19,19,19,19,19,2,2,2,2,2,19,2,2,2,2,2},
{45,44,13,25,17,47,30,2,30,2,2,2,2,2,2,2,2,2,19,19,19,17,17,2,2,2,2,2,2,2,2,2},
{35,22,37,9,35,12,35,8,2,2,50,50,2,2,32,32,32,31,13,8,8,8,2,22,50,9,9,9,22,22,22,10},
{29,24,43,36,49,2,2,8,4,25,49,25,2,2,8,10,10,10,5,5,5,40,10,33,40,40,2,27,10,25,25,25},
{50,18,32,39,21,2,2,2,4,4,36,36,14,14,14,14,2,2,2,17,17,17,16,16,2,14,14,14,14,2,2,2},
{31,28,45,20,18,43,43,13,28,2,2,2,31,31,31,31,31,2,2,2,43,43,2,2,2,2,2,2,2,2,30,2},
{39,15,41,7,24,2,2,30,40,2,2,25,25,25,25,2,2,2,2,2,2,6,6,2,25,2,5,2,2,25,2,2},
{44,20,29,39,7,21,21,21,2,2,45,2,2,2,49,49,49,49,49,2,2,2,2,2,2,2,2,2,2,2,2,2},
{56,20,22,13,18,35,35,6,2,4,2,4,2,2,2,23,16,16,4,23,2,34,52,2,34,2,4,2,2,2,23,16},
{46,32,17,18,29,27,31,31,31,2,2,4,15,2,2,2,2,2,2,2,2,2,2,2,2,2,23,32,32,32,15,15},
{62,42,43,17,23,13,13,2,2,13,2,2,2,2,2,2,2,10,2,2,2,2,9,10,2,2,2,19,9,9,9,9},
{64,34,16,28,16,51,47,2,2,2,6,18,39,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,2},
{74,26,44,25,50,24,54,39,58,42,2,42,42,2,2,2,2,2,2,2,2,33,33,2,2,39,11,2,2,58,39,58},
{70,22,50,22,16,9,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{74,21,17,25,35,33,10,2,10,20,20,57,57,57,2,2,57,2,2,2,2,2,2,2,13,2,2,2,2,2,2,2},
{81,18,10,11,47,38,71,37,2,37,2,2,2,2,2,26,26,26,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{55,30,85,42,16,36,45,67,2,2,68,2,2,2,2,2,2,2,68,10,2,2,2,2,2,2,2,2,2,2,2,2},
{64,17,24,26,49,12,10,39,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,59,2,2},
{68,57,23,38,61,38,13,13,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,68,15,2,44,44,44,2,2,2},
{94,28,58,29,13,5,15,8,66,2,2,2,39,39,15,66,2,2,6,6,2,2,66,66,66,66,2,2,2,2,2,66},
{94,85,9,41,41,37,29,29,17,2,2,2,7,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8},
{89,32,75,77,77,13,2,30,30,2,2,2,2,2,2,2,2,2,2,67,67,2,2,2,2,2,2,2,2,8,19,32},
{70,45,58,63,67,10,72,72,70,6,2,36,2,70,70,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{101,33,76,13,45,63,2,2,6,19,2,2,32,32,32,32,32,65,2,63,63,11,11,11,19,19,19,19,9,63,63,63},
{70,89,44,37,19,45,2,2,2,8,10,8,54,54,80,80,80,80,80,2,116,2,116,2,2,80,40,51,100,100,8,2},
{71,54,83,51,42,98,2,2,8,8,14,30,93,22,15,15,30,30,30,44,44,44,2,2,22,22,22,117,44,11,11,11},
{109,37,51,113,17,10,2,2,17,17,55,2,55,55,55,55,55,55,2,2,2,57,48,48,55,55,2,2,55,2,2,55},
{75,38,68,89,11,52,2,2,81,39,2,38,2,2,2,2,2,2,2,2,2,2,2,19,2,2,2,2,2,2,2,2},
{81,84,35,34,20,93,2,12,12,12,2,96,2,96,96,2,96,2,2,2,2,2,2,2,2,2,2,2,2,56,56,56},
{104,32,56,46,77,11,35,35,24,56,19,2,2,2,78,2,2,75,2,2,2,2,78,2,2,2,2,2,2,2,2,2},
{81,103,25,35,28,15,20,20,20,2,2,2,2,20,20,20,107,107,2,2,2,2,2,2,2,2,2,2,2,2,13,13},
{119,75,42,29,74,23,54,36,39,2,2,4,4,19,19,2,2,2,2,2,2,2,2,54,2,2,2,2,2,2,2,54},
{115,73,22,102,75,138,16,73,50,16,2,50,2,2,2,133,2,2,2,2,2,2,2,2,2,2,2,2,2,33,33,33},
{119,48,66,51,14,22,20,20,2,2,2,2,2,60,2,2,2,2,2,2,2,2,60,2,2,2,2,2,2,60,2,65},
{121,94,80,29,51,69,42,36,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,17,2,2},
{129,123,41,79,43,34,24,11,2,2,4,2,2,2,2,75,16,16,16,75,75,75,16,16,16,25,2,99,2,2,75,16},
{128,33,35,68,22,8,62,94,2,2,2,62,62,2,98,2,2,4,98,2,2,32,81,32,32,32,98,98,98,98,98,98},
{101,109,154,15,57,6,27,36,2,2,37,37,2,2,2,2,2,2,2,107,2,2,2,107,107,2,2,2,2,2,2,2},
{106,40,24,38,61,118,106,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{149,111,58,79,127,13,41,33,27,16,30,2,61,2,72,2,2,2,2,2,2,2,2,2,2,2,2,75,75,2,2,2},
{105,92,43,156,25,53,57,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{99,40,62,67,66,29,99,99,99,78,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,79},
{109,42,96,95,66,41,103,84,13,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{111,72,16,89,25,86,117,29,14,14,2,2,2,2,2,60,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{106,72,49,94,140,44,97,157,75,2,2,4,123,123,2,2,123,123,123,123,2,2,2,2,2,2,2,2,2,2,2,2},
{115,67,74,32,43,50,21,36,135,36,85,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{151,71,157,42,41,37,80,27,18,2,2,2,2,2,2,2,2,2,2,2,2,2,115,128,128,128,128,128,32,2,128,80},
{119,91,38,30,92,44,32,76,22,2,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,129,2,2,129,2,2,2},
{121,126,31,52,120,37,57,10,171,2,2,2,2,35,35,35,2,2,97,97,97,97,97,97,97,35,35,35,97,97,97,2},
{155,86,49,104,87,94,64,45,61,91,91,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{164,121,44,166,47,33,7,15,13,2,2,122,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{128,120,133,17,71,52,25,107,42,21,21,2,2,2,2,4,4,96,2,9,9,2,9,94,94,94,94,94,94,94,94,96},
{179,82,157,76,61,35,13,90,197,2,69,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39},
{136,136,148,63,66,10,169,95,95,163,30,28,28,2,41,130,2,2,2,21,2,2,2,2,2,2,2,2,2,2,2,36},
{131,40,112,63,55,30,53,79,79,79,2,79,2,2,2,2,2,79,2,2,2,2,14,36,2,21,21,21,21,2,2,91},
{165,81,92,48,9,110,12,40,40,34,2,2,2,107,107,107,2,107,2,2,2,2,2,2,2,2,2,2,2,15,41,41},
{169,66,170,97,35,56,55,86,32,32,2,2,2,2,14,2,40,2,37,2,2,37,40,40,40,2,2,2,37,37,37,37},
{135,63,126,156,70,18,49,143,6,117,2,109,109,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{193,59,51,68,68,15,170,170,170,143,143,12,2,2,2,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{145,101,56,65,23,76,110,2,4,4,4,146,146,146,2,146,2,2,2,2,2,2,2,2,2,2,2,2,2,2,146,146},
{144,129,26,98,36,46,47,52,52,52,82,2,2,2,2,2,17,2,2,2,2,2,2,2,2,2,2,2,2,91,2,2},
{145,78,166,171,56,20,63,2,2,33,33,33,33,2,78,47,47,47,47,47,2,2,2,2,2,78,78,78,2,2,2,2},
{191,69,176,54,47,75,167,2,2,2,188,188,188,30,30,2,67,67,117,2,117,117,117,2,2,36,2,2,2,2,2,2},
{186,96,29,122,47,96,170,157,157,157,157,108,159,2,195,195,26,26,26,26,26,2,2,2,2,132,132,132,2,2,2,2},
{151,118,226,91,54,49,33,2,2,2,2,4,4,4,143,143,2,2,143,25,25,25,2,143,143,143,143,143,143,143,143,143},
{144,91,237,82,81,75,138,163,163,163,117,117,44,2,44,136,136,136,136,2,2,2,2,2,122,122,122,122,2,2,2,136},
{189,78,178,64,118,27,189,2,2,67,67,110,110,110,110,2,28,28,2,2,2,2,2,2,2,102,2,2,2,2,2,2},
{165,202,83,76,125,65,42,2,44,44,23,2,23,23,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{209,204,92,75,85,146,104,2,7,18,8,2,2,2,204,95,95,95,2,2,2,95,95,95,95,95,95,95,2,2,2,95},
{169,68,89,16,193,82,33,262,262,175,148,148,148,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{171,162,78,43,61,17,112,10,171,182,118,33,2,2,2,2,118,2,2,2,2,2,2,151,2,2,2,2,2,2,2,2},
{211,121,119,55,90,211,96,89,225,25,178,36,36,36,2,2,108,2,2,2,2,2,2,2,2,2,2,2,2,184,2,2},
{154,101,83,17,16,210,41,79,70,158,2,27,27,2,2,2,2,2,2,2,2,2,2,2,2,153,2,2,2,2,2,2},
{169,179,130,79,148,180,136,17,47,119,2,119,119,169,169,2,169,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{241,171,148,31,172,34,66,60,156,140,2,2,2,75,75,2,2,2,2,2,2,2,190,190,2,2,2,30,2,2,2,2},
{229,189,183,106,118,138,82,149,265,39,2,2,265,2,2,2,2,2,2,130,2,2,2,71,71,2,2,2,71,2,2,71},
{165,157,127,21,64,15,80,130,130,130,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,74,2},
{221,130,203,84,83,83,29,121,54,54,2,141,2,2,94,94,94,4,4,4,2,4,2,2,2,54,54,108,16,16,94,52},
{230,166,20,160,121,102,153,94,16,67,2,2,2,2,2,2,97,97,97,2,2,97,97,2,97,97,97,97,97,97,97,97},
{181,79,137,119,139,24,77,17,50,25,25,25,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,242,192,40,41,62,124,193,193,31,193,2,2,2,2,2,2,2,2,2,2,2,2,148,2,2,2,2,2,2,2,2},
{239,178,73,122,239,51,95,48,78,88,78,2,2,2,2,2,2,2,2,2,2,2,144,144,2,2,144,144,144,2,144,144},
{234,117,198,34,143,21,74,6,252,252,98,2,2,2,2,197,38,2,2,2,2,2,47,2,47,47,47,47,2,2,2,47},
{179,110,38,28,58,39,16,29,42,125,202,8,8,129,4,4,2,2,2,67,67,2,2,2,2,2,2,8,67,67,2,2},
{246,53,189,50,18,59,179,179,7,137,137,2,2,103,103,103,103,40,40,40,2,2,2,2,73,73,73,2,103,103,103,103},
{239,133,87,92,193,12,206,238,238,238,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{191,244,60,193,18,32,193,104,74,125,125,66,2,2,2,2,2,2,2,2,2,2,125,125,2,125,125,125,2,2,2,2},
{177,74,90,91,172,219,63,84,32,2,2,196,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{253,143,54,39,122,32,75,107,234,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{282,89,71,88,30,23,81,105,105,2,2,105,105,131,107,2,2,2,2,2,195,195,2,2,29,29,21,21,128,195,195,195},
{259,115,171,40,156,71,67,24,24,2,2,2,24,4,4,4,2,234,2,2,2,2,2,2,2,2,2,74,74,2,2,2},
{264,237,49,203,247,108,75,75,75,2,2,32,16,8,16,16,16,164,14,164,2,2,32,16,8,16,16,32,42,42,42,2},
{264,106,89,51,29,226,23,286,286,151,151,151,151,151,2,2,2,2,2,2,31,31,31,2,2,2,2,2,2,2,2,284},
{194,215,82,23,213,23,108,127,74,2,201,32,178,2,285,2,2,2,2,285,2,2,2,2,2,2,2,2,2,2,2,2},
{196,267,251,111,231,14,30,52,95,2,154,53,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{266,67,22,101,102,157,53,95,130,2,42,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{281,205,107,178,236,122,122,316,76,215,215,2,60,2,2,2,2,2,2,227,2,2,2,2,2,2,2,2,27,2,2,2},
{271,89,65,195,132,162,102,45,56,174,104,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{200,169,170,121,155,68,131,167,78,113,113,2,2,64,2,2,2,2,2,2,2,2,2,2,2,2,2,173,2,2,2,2},
{288,143,265,264,71,19,231,169,27,27,27,2,2,2,2,2,2,2,2,2,2,2,2,2,51,2,2,2,2,2,2,2},
{311,141,96,173,90,119,134,151,35,252,39,2,39,39,2,2,2,2,2,2,2,2,2,113,113,2,2,2,2,2,2,113},
{311,230,52,138,225,346,162,216,216,91,160,182,91,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{275,167,128,244,184,184,44,210,237,139,139,139,139,2,2,2,2,2,2,2,2,2,2,73,2,2,2,2,2,2,2,2},
{176,156,83,135,46,197,108,63,33,33,33,2,133,2,213,213,213,213,133,133,2,133,2,2,133,133,2,2,2,2,2,2},
{283,125,141,192,89,181,106,208,124,124,2,112,112,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{289,191,171,152,191,173,54,13,21,56,56,56,2,2,2,2,2,2,2,2,2,220,2,2,2,2,2,2,2,2,2,2},
{334,305,132,132,99,126,54,116,164,105,2,105,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,287,2,2,2,2},
{240,166,44,193,153,333,15,99,246,99,2,2,99,99,2,2,2,2,195,195,195,2,195,195,2,263,263,2,195,195,195,263},
{246,194,265,79,225,65,24,62,46,181,2,2,2,314,2,2,2,2,2,2,2,215,2,2,2,2,2,2,2,2,2,2},
{229,334,285,302,21,26,24,97,64,40,2,2,2,231,231,231,231,65,2,148,2,2,2,2,2,2,2,2,2,2,2,2},
{251,295,55,249,135,173,164,78,261,261,2,2,2,2,114,2,2,2,2,2,256,142,142,2,2,2,2,2,2,2,2,185},
{232,153,55,60,181,79,107,70,29,35,2,2,58,58,2,58,2,2,2,2,61,61,2,61,61,2,2,61,61,90,2,90},
{246,116,45,146,109,90,32,103,133,119,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{246,113,146,232,162,262,204,47,45,331,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,150,84,275,13,26,368,49,244,244,63,63,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{239,295,174,87,30,87,85,36,103,36,2,278,2,2,2,2,2,2,163,2,2,2,2,2,2,2,2,2,2,2,2,2},
{356,300,75,310,123,301,200,107,183,37,218,37,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{358,207,168,150,150,21,156,50,195,275,275,275,2,2,2,2,2,251,2,2,2,251,251,251,251,251,251,251,251,251,2,2},
{322,194,234,62,236,147,239,400,255,255,80,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{326,276,134,100,143,113,115,221,13,339,194,194,194,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{337,132,27,45,14,81,110,84,238,224,211,2,29,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{192,213,113,174,403,117,342,342,311,35,35,2,2,2,2,2,2,2,2,101,2,2,2,2,2,2,2,2,2,101,101,101},
{264,273,316,53,40,330,51,285,115,219,147,2,2,2,335,2,2,2,2,2,173,2,173,2,2,173,173,173,173,173,173,83},
{254,293,407,118,54,296,160,231,4,4,93,2,2,2,2,2,60,61,2,2,120,127,127,127,88,88,88,88,88,88,88,88},
{341,78,336,263,281,164,99,334,296,114,109,2,163,163,163,163,2,2,2,2,2,2,2,125,125,292,292,292,292,125,125,125},
{355,87,212,100,89,210,133,344,120,45,45,138,138,138,138,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{274,141,46,219,158,284,38,79,73,185,35,6,81,2,2,2,2,53,2,2,81,81,2,81,2,2,2,53,53,53,53,53},
{349,303,439,19,95,240,174,191,2,162,162,2,2,2,76,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{360,91,201,205,67,181,59,77,2,44,103,103,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,125},
{283,154,261,91,77,147,227,105,116,311,256,256,2,116,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,32,2},
{287,288,111,89,249,370,55,16,248,67,67,115,2,2,134,134,2,2,2,2,2,2,2,2,2,2,2,2,2,22,22,22},
{284,270,282,37,29,181,160,49,285,285,374,250,2,374,374,2,2,2,179,179,35,2,179,179,2,179,179,2,2,285,285,285},
{359,305,52,36,243,231,7,92,2,68,68,307,62,45,2,2,112,311,311,311,2,2,2,2,2,2,2,2,2,2,2,2},
{288,119,218,137,364,38,27,380,2,2,211,23,33,2,2,2,2,2,225,225,225,2,2,225,225,225,2,2,2,2,2,2},
{277,155,232,309,370,365,348,75,214,214,214,4,4,2,2,2,210,210,210,210,210,210,210,2,2,2,2,2,2,2,2,2},
{292,204,91,41,124,190,107,322,125,125,125,125,125,25,25,62,2,2,146,146,2,2,62,146,2,146,114,146,114,2,2,2},
{282,195,192,409,68,99,253,106,2,2,2,231,55,55,2,323,323,55,55,285,285,285,285,2,2,2,2,2,2,285,285,323},
{299,122,174,403,113,77,63,275,2,2,2,138,276,227,38,227,2,237,2,2,2,2,2,2,2,2,2,2,352,352,352,2},
{282,222,268,86,21,109,353,408,2,2,2,2,135,12,12,216,241,241,241,241,241,241,241,241,241,303,303,303,135,135,135,2},
{374,94,89,257,137,246,186,196,2,2,2,2,2,454,122,122,122,122,2,2,2,28,28,94,94,94,94,94,122,122,122,122},
{288,92,62,428,122,153,481,66,2,2,2,250,250,177,177,177,177,279,279,279,279,279,279,279,2,2,279,177,177,177,177,177},
{288,370,141,284,207,192,450,67,2,2,2,183,217,217,217,183,183,167,202,202,202,202,167,167,2,2,2,164,164,80,167,167},
{286,293,199,39,158,332,242,103,2,2,2,408,266,315,2,2,365,253,315,315,315,315,315,2,2,315,2,2,2,2,2,2},
{407,83,435,187,40,16,52,65,2,2,244,39,77,119,119,2,2,2,119,342,342,2,2,2,2,2,342,2,2,58,58,119},
{398,88,78,57,260,203,203,43,131,131,131,204,204,322,204,2,102,2,325,325,325,325,2,2,2,2,2,2,2,2,2,2},
{390,174,70,155,163,67,225,49,2,34,34,151,151,2,2,111,2,2,111,111,2,2,2,2,2,2,2,2,2,2,2,2},
{393,129,393,169,23,192,168,47,2,2,312,150,71,2,150,2,2,2,61,2,2,61,2,2,2,2,2,2,2,2,2,2},
{408,136,71,63,63,159,222,68,181,181,124,227,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{294,169,79,242,160,123,178,290,186,186,56,399,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,228,69,68,193,122,21,362,33,22,362,57,2,2,2,2,46,46,196,196,196,2,196,196,196,2,196,2,2,2,2,2},
{415,130,241,185,312,175,309,199,94,281,47,47,2,2,2,2,206,307,221,2,2,2,2,2,239,239,239,239,239,206,206,206},
{417,238,147,165,346,19,92,164,266,291,291,43,2,2,2,345,2,2,2,345,345,2,2,2,2,2,345,2,2,2,2,2},
{456,192,86,182,35,174,342,102,210,210,210,393,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,256,256,158},
{307,255,92,38,325,61,103,246,176,319,80,89,2,241,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,168,63,154,166,46,479,145,144,288,288,288,288,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{341,256,113,85,188,233,161,29,110,167,91,91,253,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{311,360,312,158,73,16,106,209,472,48,24,203,203,2,2,2,2,234,234,234,2,234,234,203,2,2,2,234,234,234,234,234},
{437,196,161,100,132,246,395,187,35,35,35,2,2,35,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{438,174,338,145,155,276,422,374,4,463,463,99,224,70,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{426,225,211,130,325,283,353,96,282,23,299,2,2,2,63,63,2,276,276,2,2,2,2,2,2,2,2,2,2,2,2,2},
{430,101,288,38,200,332,325,193,123,123,88,2,2,2,2,2,231,231,139,139,139,139,139,139,139,139,139,139,139,139,139,139},
{434,143,308,389,365,363,174,63,121,125,260,2,2,260,260,2,2,2,2,2,2,2,2,2,2,258,2,2,2,258,2,2},
{453,123,201,141,229,223,234,494,102,102,102,2,2,102,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,252},
{438,168,65,264,304,74,168,88,114,132,187,2,127,127,2,2,2,2,2,81,81,56,2,2,2,307,2,2,2,2,81,81},
{324,181,141,129,33,171,173,291,227,373,52,301,301,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{448,119,431,111,135,50,242,95,148,49,49,49,68,2,2,2,2,2,2,2,2,49,2,2,2,2,2,2,2,2,2,2},
{335,114,55,47,33,173,287,345,198,198,136,238,238,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{468,377,243,237,332,512,27,167,22,169,14,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{456,162,188,223,408,209,28,164,299,299,258,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{445,391,115,226,96,456,239,214,556,158,158,282,2,2,2,2,2,2,2,2,2,2,2,2,2,331,2,2,2,2,2,2},
{360,397,130,172,407,479,295,13,38,199,199,346,2,2,2,2,2,2,145,2,2,2,2,2,2,2,2,2,2,2,2,2},
{512,136,129,361,180,61,274,128,422,27,292,165,2,2,2,2,2,2,363,117,117,117,117,2,2,2,2,363,2,2,2,2},
{478,433,483,302,200,227,273,27,171,171,371,102,2,2,2,2,2,20,2,2,2,2,2,2,2,2,403,403,2,2,2,2},
{485,158,454,86,212,60,93,40,209,188,188,106,2,231,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{390,448,111,145,47,555,367,317,315,52,429,435,429,429,2,2,2,2,2,2,2,2,229,2,2,229,2,2,2,229,2,2},
{490,331,187,398,407,373,497,219,423,423,378,378,2,419,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{378,406,112,198,539,550,516,59,240,240,23,316,2,122,2,2,2,2,2,2,2,2,2,2,111,111,2,2,2,95,2,2},
{474,373,248,330,40,113,105,273,103,407,2,165,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,406,306,239,172,323,236,50,37,435,2,310,56,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{498,447,112,241,552,119,227,189,140,140,140,140,140,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{505,132,169,418,342,28,319,301,172,530,317,317,335,2,2,2,2,2,2,376,2,2,2,2,2,2,2,2,2,2,2,2},
{397,393,191,269,462,151,264,134,307,307,2,163,163,2,2,2,2,2,2,2,2,2,2,2,2,2,159,2,2,2,2,2},
{485,491,325,149,122,145,228,100,311,64,2,62,137,2,137,2,2,2,2,2,2,2,392,2,2,2,2,2,2,2,2,2},
{364,462,360,383,182,187,123,69,129,146,2,156,149,2,149,2,2,2,2,2,2,2,303,303,303,2,2,2,2,2,149,266},
{507,195,130,401,363,171,483,20,86,464,2,89,89,2,26,2,2,2,2,2,425,425,2,2,2,2,2,2,2,2,2,2},
{380,220,87,122,242,78,207,371,95,305,2,2,2,2,440,440,445,358,358,331,331,358,445,445,445,445,445,445,445,445,445,445},
{507,221,247,137,182,90,28,207,325,438,2,2,2,2,2,187,232,438,2,2,68,37,37,37,37,37,37,37,37,37,161,2},
{509,265,101,126,203,86,152,416,352,85,2,2,2,284,391,368,2,2,152,2,2,2,325,2,2,2,2,2,2,2,2,2},
{572,359,332,480,68,535,59,504,365,21,2,2,246,54,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{415,178,178,372,415,400,73,82,348,99,2,23,325,44,2,2,2,2,2,2,2,2,325,2,2,2,2,2,2,2,2,2},
{430,275,236,361,42,552,368,236,653,74,65,458,288,307,307,2,2,2,2,2,2,2,65,65,2,2,2,2,2,2,2,2},
{434,139,58,437,130,441,188,15,63,145,145,145,300,2,2,2,2,300,2,2,2,2,2,2,2,2,401,401,401,401,401,401},
{542,138,266,514,552,202,103,197,574,48,2,96,96,2,2,96,96,217,2,2,2,2,2,2,2,2,2,2,2,2,2,217},
{546,494,72,272,550,219,213,209,169,404,69,464,86,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{602,466,332,458,99,244,255,183,446,670,2,186,323,2,2,2,2,2,2,2,2,2,2,2,2,2,2,292,165,165,165,165},
{422,413,561,110,242,62,436,478,18,150,606,88,643,2,249,2,2,2,2,456,2,2,2,2,2,2,2,2,2,2,2,456},
{522,141,154,253,264,53,120,93,274,52,44,203,556,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{600,249,375,555,421,322,317,84,517,517,268,106,353,2,2,2,2,2,2,2,2,2,268,2,2,2,2,2,2,302,2,2},
{555,516,310,438,290,559,52,265,248,193,285,441,285,285,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{555,300,232,386,470,300,355,177,57,407,450,279,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{544,177,79,306,256,402,205,496,398,115,115,43,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{534,274,194,220,575,81,206,544,341,85,137,429,429,429,429,344,2,2,2,2,2,315,315,315,315,315,315,72,72,72,2,2},
{400,136,112,136,273,277,205,578,122,122,230,230,2,2,2,2,2,2,2,2,2,2,2,2,2,2,302,2,2,2,2,2},
{576,421,115,52,253,373,17,657,43,178,178,58,485,485,485,485,485,485,2,2,2,159,159,159,159,2,619,2,2,2,2,2},
{576,301,142,329,96,41,302,528,126,112,206,206,2,2,2,2,2,2,206,206,2,206,206,2,191,206,206,191,191,191,191,206},
{548,538,508,250,539,102,73,285,119,433,480,480,2,2,2,480,480,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{622,526,294,56,498,176,237,351,25,26,474,55,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{446,163,469,481,240,278,51,373,491,13,22,419,2,2,2,2,2,2,2,2,2,176,176,2,2,2,2,2,2,2,2,2},
{445,223,102,108,120,166,68,214,737,504,96,96,206,377,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,39,39,528},
{453,121,489,84,434,505,78,575,468,372,468,468,83,468,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{425,355,128,58,194,82,438,117,10,34,34,35,112,107,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{432,479,328,443,253,634,271,429,406,543,406,543,543,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{433,294,192,205,152,70,99,68,392,169,309,390,390,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,199,2,2,2},
{456,383,487,311,57,579,673,264,582,187,184,43,43,2,2,2,2,501,501,501,2,2,2,2,2,2,2,2,2,2,2,2},
{437,561,384,619,363,420,614,117,217,247,405,142,142,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{434,372,239,508,478,26,375,255,151,151,650,112,251,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{437,133,516,423,305,90,135,25,266,487,6,286,286,2,2,2,2,2,2,2,2,2,2,2,2,510,510,2,2,2,2,2},
{463,341,170,401,178,79,305,98,162,166,32,392,335,335,335,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{610,477,478,516,318,184,267,423,190,494,494,2,336,336,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{611,211,491,224,47,54,124,268,271,271,223,2,2,2,2,2,2,2,2,2,2,2,2,359,2,2,2,2,2,2,2,2},
{590,463,461,162,162,622,167,254,29,377,377,75,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{478,388,612,404,491,561,180,80,262,58,94,2,2,275,2,2,2,2,2,151,2,2,2,2,2,312,312,312,2,2,2,275},
{629,225,67,623,298,588,354,49,41,185,176,63,63,63,2,2,2,2,2,2,2,2,2,2,2,2,8,435,32,32,435,435},
{671,275,392,298,612,328,337,215,58,58,124,2,2,490,392,2,2,2,125,457,457,2,2,2,2,2,2,2,2,2,2,457},
{448,126,129,168,209,340,40,96,509,509,509,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{667,246,160,68,737,203,168,628,46,128,358,2,2,2,121,121,2,2,2,2,2,2,560,121,2,2,2,2,2,2,2,121},
{635,212,284,356,187,591,275,361,194,317,488,2,2,2,2,2,2,97,6,2,6,247,2,2,2,2,2,2,2,2,2,6},
{612,395,104,86,264,321,521,325,252,53,178,100,100,100,16,343,343,343,343,343,2,2,2,2,2,2,2,2,2,343,343,343},
{486,428,287,472,292,141,504,178,585,98,282,2,2,2,2,2,2,2,2,2,2,2,2,284,284,284,78,284,2,2,2,2},
{612,327,212,565,450,385,201,649,423,491,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{462,579,236,447,60,162,427,258,73,742,742,2,742,742,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{495,440,89,439,65,207,459,407,139,131,624,2,380,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{469,507,276,227,66,237,260,386,27,666,31,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{646,393,273,238,24,13,253,127,368,316,316,316,150,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{626,196,111,465,386,431,181,414,614,391,349,318,389,2,389,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{667,257,290,122,109,523,95,26,282,49,374,236,236,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,88,2,2},
{653,169,261,533,488,282,213,443,337,480,503,174,534,2,2,2,2,2,534,2,2,2,2,534,2,2,2,2,534,2,2,2},
{670,555,160,90,604,604,50,459,376,545,316,180,526,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{639,253,95,380,108,448,223,254,381,30,6,644,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{642,160,702,90,157,254,278,521,650,277,74,554,122,2,2,2,2,2,2,517,174,174,174,2,2,2,2,2,2,2,2,2},
{678,254,190,197,637,49,130,25,374,357,357,411,643,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,537,2,2},
{512,347,65,546,434,87,18,123,672,412,316,6,699,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{657,233,108,38,147,53,136,168,408,477,477,279,268,289,2,2,2,2,2,2,289,2,2,2,2,2,2,2,2,289,289,2},
{498,431,217,101,78,143,111,113,181,825,458,140,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{660,624,376,472,165,66,158,308,492,779,305,305,2,576,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{521,249,388,155,467,245,134,311,72,312,312,623,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{408,348,216,299,302,668,347,63,172,141,272,168,678,2,2,2,512,2,2,2,2,4,2,2,2,494,64,64,64,128,16,512},
{669,421,230,70,212,845,237,347,148,76,823,472,2,2,2,132,2,2,2,2,2,2,2,383,132,383,2,2,383,383,383,383},
{693,530,139,82,780,416,270,278,330,484,484,200,2,2,2,2,137,94,2,2,2,2,2,2,2,2,484,2,2,2,2,2},
{672,150,164,622,196,75,302,119,42,314,314,132,60,60,60,298,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{705,302,411,705,691,160,809,40,32,867,826,826,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{684,229,138,46,407,399,82,254,267,31,31,45,2,209,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{707,323,409,27,31,157,492,463,886,412,251,251,304,190,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{715,521,636,304,402,459,435,571,611,214,214,43,43,358,2,2,2,2,358,2,2,2,2,2,2,358,358,358,2,2,358,358},
{768,224,219,425,467,147,151,643,316,263,263,263,263,263,2,2,2,2,2,272,139,2,2,2,2,2,2,2,2,2,272,53},
{555,543,434,78,850,174,277,194,4,100,471,69,69,424,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{690,206,572,877,600,129,288,52,19,147,222,222,147,147,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{793,279,264,566,252,495,872,492,482,107,294,503,350,350,2,2,2,2,2,2,2,285,285,273,273,273,273,2,2,2,2,2},
{703,427,225,320,136,47,103,547,239,217,73,68,68,204,204,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{791,275,60,137,352,839,67,476,356,216,216,563,563,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{703,312,472,588,228,512,386,668,477,617,389,389,389,2,296,2,2,2,2,343,343,2,2,343,343,2,2,617,617,617,617,2},
{709,509,697,145,252,194,304,192,192,623,623,4,423,2,2,2,199,423,2,2,2,222,222,2,2,623,623,623,623,623,2,222},
{587,453,117,107,672,86,248,568,568,294,294,513,78,2,2,164,82,2,2,2,2,22,2,2,2,2,2,2,2,2,2,2},
{741,466,378,135,737,131,159,469,59,2,59,59,187,2,204,2,2,2,2,2,2,2,2,2,798,2,2,798,798,798,798,798},
{539,310,463,103,553,45,609,326,197,2,62,113,272,2,62,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{750,703,182,242,92,335,272,466,594,2,701,569,474,129,140,140,2,507,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{547,210,113,361,584,121,65,307,98,2,2,552,514,514,2,514,207,514,514,514,2,2,2,2,2,2,2,2,2,2,2,2},
{555,229,328,91,272,815,483,749,468,2,92,92,4,92,2,2,2,258,258,258,2,258,258,2,2,2,2,258,2,2,258,258},
{580,145,358,434,630,73,604,366,366,2,2,398,398,207,2,207,487,2,2,487,207,2,2,207,207,207,2,2,2,2,207,207},
{457,520,93,460,275,525,300,184,354,147,147,147,147,179,82,82,82,82,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{872,630,513,218,719,174,197,104,86,281,281,281,541,642,281,94,2,45,94,2,335,335,2,2,2,2,2,2,2,2,2,84},
{765,421,129,298,867,365,222,476,401,142,90,22,22,88,226,657,2,2,477,2,2,2,2,2,226,226,2,226,2,2,2,226},
{833,634,228,520,113,329,279,420,581,2,2,385,385,110,450,2,733,2,2,2,561,561,2,561,2,2,2,2,2,2,2,2},
{587,553,360,539,227,800,312,143,536,2,2,2,64,64,64,2,2,2,179,179,493,2,2,184,184,184,58,2,2,2,493,493},
{744,466,389,280,229,134,363,177,389,2,2,2,536,273,536,536,536,536,168,45,45,45,45,2,2,2,2,2,2,2,2,2},
{841,222,158,469,253,91,347,241,766,2,2,2,88,88,88,439,439,439,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{462,653,478,67,269,150,474,711,220,669,669,669,669,669,390,352,325,2,229,545,545,545,545,545,545,545,545,2,545,352,309,352},
{468,430,849,689,202,427,45,34,105,2,2,2,2,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,2,2,2,2},
{610,289,503,744,775,512,605,454,484,2,2,2,444,466,145,631,2,631,631,631,631,631,631,631,631,631,2,2,631,631,631,858},
{792,169,306,843,246,123,293,229,483,2,2,2,165,163,163,163,163,440,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{563,325,717,766,440,705,290,123,228,2,2,2,32,64,146,2,2,2,116,79,79,2,146,146,79,79,79,2,2,146,146,79},
{795,185,350,211,82,537,106,680,62,2,2,537,423,423,423,2,2,501,501,2,501,2,501,2,2,2,2,2,2,2,2,2},
{633,425,295,548,497,163,381,461,89,2,2,831,583,896,38,2,625,2,2,2,276,276,2,2,276,2,2,2,2,2,2,2},
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{802,533,869,638,67,192,805,223,219,2,2,191,178,178,77,77,2,2,2,2,431,431,2,2,2,431,431,2,2,431,2,2},
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{814,293,763,661,575,631,524,636,112,691,595,1103,405,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{1206,469,299,1052,655,114,189,213,321,188,64,475,475,2,2,662,662,662,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{1076,596,553,545,79,727,881,121,298,169,639,368,695,115,115,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{1096,1166,209,407,1127,400,974,322,428,906,631,134,171,2,2,2,2,664,664,664,2,2,2,2,2,2,2,2,2,2,2,2},
{1091,946,437,51,527,802,597,639,587,645,510,586,586,2,2,2,2,2,2,2,2,2,2,2,2,2,2,168,168,168,168,168},
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{1103,276,174,408,233,170,955,108,530,354,585,38,677,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,476},
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{1108,437,1160,324,868,686,361,399,786,1161,1161,707,731,731,655,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1116,331,280,422,1109,341,570,243,849,241,566,61,608,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{898,782,478,1208,196,983,608,537,196,1141,141,296,715,715,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1099,1187,300,240,268,413,1366,634,184,768,773,365,783,224,783,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1158,945,300,1115,205,495,435,302,187,774,774,843,843,284,284,2,2,2,2,909,933,933,933,2,2,909,909,2,2,2,2,909},
{904,660,1283,46,33,124,416,218,152,970,1241,305,307,307,307,260,894,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1127,553,287,58,739,99,514,739,766,42,580,241,598,598,936,936,936,629,629,629,629,2,2,2,2,2,2,2,2,2,2,2},
{1142,370,287,925,307,1232,129,11,1284,1056,33,33,536,521,2,1286,2,2,2,2,2,2,2,2,2,2,2,2,847,847,847,847},
{1140,814,528,677,84,1192,305,637,335,451,103,325,77,969,2,651,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1297,600,419,985,846,493,186,109,147,239,197,762,762,327,327,1004,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1181,615,482,653,238,130,313,506,98,1314,730,730,730,730,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{921,613,628,1288,111,150,191,233,633,83,387,602,105,394,2,2,2,2,2,2,2,351,2,2,351,351,351,2,2,2,351,351},
{1192,555,586,516,1288,733,64,653,364,273,421,215,75,75,2,2,2,2,2,2,953,953,953,953,8,383,383,2,161,383,953,953},
{1160,617,505,1205,374,906,23,408,194,91,91,91,585,984,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1203,1101,497,352,254,309,464,123,607,1080,265,1145,1145,1145,284,284,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1210,656,1026,782,802,442,1319,734,794,165,165,796,93,796,2,829,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{963,646,721,1161,219,667,1088,485,692,692,663,535,553,662,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,686,686,2},
{966,590,140,297,189,844,633,12,847,742,742,244,281,34,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{941,231,1038,309,173,770,413,560,855,660,721,1103,721,721,721,2,2,2,2,2,2,2,2,2,2,2,2,174,2,2,2,2},
{1213,305,656,983,1399,1196,692,986,9,339,754,308,2,308,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{972,768,1109,523,642,546,1452,29,1296,13,813,813,2,1496,2,2,2,2,2,2,2,165,165,165,165,165,165,2,2,2,2,544},
{1330,671,528,831,1426,735,33,425,364,119,363,978,2,761,483,476,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1188,217,838,237,379,202,785,949,479,169,348,872,2,872,872,2,2,2,2,2,2,1028,2,2,2,2,2,2,2,2,2,2},
{1190,286,513,881,390,215,387,130,749,554,1110,519,160,160,160,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1247,353,973,217,1044,1318,1115,319,203,390,1244,225,2,2,508,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{893,560,132,1420,721,191,568,799,412,22,322,93,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{987,774,678,175,145,264,588,97,1308,6,828,1129,2,2,2,45,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{955,980,753,96,574,259,1327,556,342,1415,1036,1036,478,478,478,478,507,2,2,2,2,151,2,2,317,2,2,2,2,2,595,595},
{882,1038,211,110,942,337,1305,1225,661,183,381,381,2,2,2,2,347,2,2,2,2,2,2,2,600,431,431,431,431,431,431,431},
{1208,486,343,725,677,1204,135,139,924,170,1111,317,2,2,2,2,202,706,202,107,107,107,2,2,706,706,107,107,2,2,2,706},
{1259,1017,456,298,443,838,137,744,551,334,36,951,2,2,2,699,718,2,2,984,2,2,2,2,2,2,984,984,2,2,2,2},
{1212,1186,641,284,565,636,895,82,690,117,184,184,2,2,2,397,902,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1263,370,132,635,381,47,537,179,1192,301,1282,33,2,2,2,1553,2,2,2,2,2,2,2,2,2,2,2,307,307,2,2,2},
{1223,433,252,572,424,82,221,107,382,430,203,461,2,915,362,964,2,2,964,2,2,2,2,2,964,964,964,964,964,485,485,485},
{1015,593,112,1408,51,104,199,221,931,1010,928,928,2,2,878,878,2,2,2,2,731,731,2,731,731,2,731,2,731,731,731,2},
{1220,410,1193,352,260,434,469,41,1090,961,961,728,2,2,330,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{898,1043,391,1289,29,830,184,321,1136,85,1133,1082,864,864,2,2,2,2,2,2,2,2,789,789,2,789,789,2,2,789,789,2},
{1223,434,851,152,140,1495,190,397,925,37,1080,430,2,2,204,2,759,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{989,1043,184,232,64,403,284,745,171,171,995,223,380,380,1400,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{939,1070,1288,254,973,901,321,109,568,713,336,988,2,946,262,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1276,636,569,258,325,675,342,85,88,579,833,833,833,833,520,2,2,2,2,520,520,2,2,2,2,2,2,2,2,2,2,2},
{982,508,815,214,206,602,448,685,446,572,1549,8,1047,1047,1047,2,2,2,2,2,2,2,363,502,2,2,71,363,2,2,363,363},
{1288,1398,789,514,151,600,1618,1194,1419,441,234,204,1191,438,828,2,857,857,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1002,342,1045,757,1008,979,322,240,1211,171,552,123,2,129,129,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1401,402,525,293,97,223,452,808,61,169,1023,1023,886,886,1023,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1001,644,263,164,136,939,624,95,489,1023,1107,331,331,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1011,475,845,532,567,951,663,295,877,1275,227,39,618,683,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1401,741,509,797,47,157,1256,482,1513,899,736,780,780,210,2,2,2,2,783,783,2,2,2,2,2,2,2,2,2,2,2,2},
{1047,880,369,402,641,446,639,586,277,396,419,275,825,820,2,2,2,238,238,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1273,701,831,1294,1580,137,162,415,563,11,92,116,116,116,2,2,2,2,2,2,1029,1029,1029,504,504,877,877,877,877,877,1029,1029},
{1335,400,315,412,172,125,568,1024,58,601,398,985,640,577,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1453,947,486,485,453,415,1164,684,504,605,422,998,727,727,2,2,2,1136,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1057,1198,146,529,284,1286,160,135,75,686,648,1425,821,586,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1052,442,936,64,132,1378,1323,161,161,161,230,131,12,12,2,2,2,2,2,2,2,2,2,2,2,998,998,998,998,2,2,2},
{1422,838,234,554,736,243,344,526,1108,33,1303,699,249,305,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1279,681,423,813,806,269,412,420,985,485,761,1013,649,796,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{938,614,523,557,898,624,178,461,287,985,371,371,260,613,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1335,834,652,528,536,523,497,60,173,777,238,59,4,59,4,8,2,2,2,559,559,559,559,559,559,559,2,2,559,559,559,2},
{1040,998,324,93,887,497,1326,443,152,1193,595,80,80,80,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1302,1116,283,1006,891,838,768,373,468,968,1178,1178,1269,1269,876,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1027,1128,114,395,357,417,848,22,389,1257,734,838,838,301,900,2,90,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1072,724,717,877,873,369,1031,698,917,1641,1641,1641,53,549,549,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{987,1243,424,240,53,1150,558,292,1107,574,814,1474,1474,1068,1186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,859,2,2},
{1040,420,960,882,64,661,292,146,976,427,689,248,248,248,638,2,2,2,2,2,2,2,2,2,2,2,2,861,861,861,2,861},
{1040,522,666,398,78,208,293,818,134,867,147,147,482,2,4,629,629,629,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{987,1280,1245,1300,926,676,56,546,541,690,84,42,1000,1383,1383,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1324,588,1378,592,1445,1029,759,1296,739,931,363,704,312,704,704,704,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1058,454,1557,191,129,297,695,1390,1274,460,923,923,923,2,4,1059,2,2,2,2,2,2,2,2,2,2,2,2,2,1059,2,2},
{1327,572,282,1022,907,1276,409,643,1050,633,187,187,187,2,228,45,2,2,2,2,2,2,320,2,2,2,2,2,2,2,2,2},
{1395,958,237,101,559,891,560,47,524,747,197,589,589,917,887,887,887,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1395,529,461,402,194,392,122,781,111,162,780,593,593,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1378,541,848,848,347,856,102,104,183,156,395,130,1377,2,2,2,159,159,159,2,2,2,772,2,2,2,2,2,2,2,2,2},
{1062,212,784,63,252,873,1302,1108,1380,84,1375,1375,1375,2,2,2,375,374,2,980,2,2,2,980,980,980,2,2,2,2,2,2},
{1384,549,430,781,946,879,901,924,741,114,14,451,36,2,2,2,2,287,287,287,803,803,803,803,2,2,2,803,803,803,803,803},
{1413,627,1329,1092,526,197,31,417,1149,981,964,1003,685,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,717,717,2,2},
{1084,1174,1601,949,910,960,500,461,1290,23,1042,636,212,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1420,531,626,738,376,537,814,206,990,235,847,812,201,201,201,201,726,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1420,624,363,537,1436,278,292,377,263,820,376,382,382,2,654,655,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1091,793,1353,208,506,599,846,503,1011,247,289,61,1050,61,61,61,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1533,978,284,156,914,162,685,1184,252,1375,189,256,640,2,640,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1531,692,414,277,541,1371,1447,682,536,109,432,1240,1240,2,1022,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1128,398,791,1170,76,661,408,259,756,495,79,553,10,10,1532,1532,1532,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1040,704,618,854,374,1470,274,383,941,519,351,351,351,351,351,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1427,988,498,1529,99,678,1323,149,33,426,543,543,335,1507,772,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1102,349,490,266,144,220,599,437,743,764,647,1128,605,265,324,324,324,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1118,496,645,592,354,1133,935,428,72,532,182,182,1370,660,123,2,294,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1102,1042,315,745,1006,771,630,68,587,1187,295,295,295,408,408,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1118,724,1322,405,199,614,1087,885,1313,317,769,660,660,1158,535,2,2,2,373,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1120,772,743,488,346,126,784,584,943,153,311,133,133,969,605,605,2,2,2,2,2,2,2,605,2,2,2,2,2,2,2,2},
{1404,284,176,590,1128,1371,322,543,1136,546,1315,174,174,777,777,891,2,2,2,2,2,2,2,579,579,579,579,2,2,2,2,2},
{1441,791,233,141,141,316,89,296,462,1263,758,482,599,599,578,341,2,2,2,2,2,2,2,2,2,2,2,525,525,525,2,2},
{1413,406,700,547,1166,250,518,543,104,331,205,205,691,691,2,2,118,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1485,400,1497,168,82,680,1103,554,249,702,493,101,296,236,2,236,236,944,944,2,2,394,2,2,2,2,2,2,2,2,2,2},
{1127,869,558,533,1215,194,1762,784,593,777,1153,1079,1079,1079,2,2,2,330,1045,2,1045,1045,2,2,2,2,2,2,2,2,2,787},
{1459,1243,467,533,266,1364,1031,890,1402,486,1678,1678,93,978,2,2,2,978,947,947,2,978,2,2,2,2,2,2,2,2,2,2},
{1139,809,117,522,955,1096,1120,1470,116,184,1565,1565,557,557,2,2,2,2,2,829,1326,2,2,2,2,2,2,2,2,2,2,2},
{1142,984,1044,590,340,241,662,357,366,1305,2,125,631,474,2,2,2,980,2,2,2,2,2,2,2,2,2,2,2,2,2,1273},
{1469,1247,1277,616,209,486,106,552,219,217,471,272,272,1201,2,2,503,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1148,542,1478,496,950,464,1011,235,136,180,2,416,758,453,2,909,2,2,2,2,2,2,2,2,2,2,1019,1019,2,2,2,2},
{1495,1178,874,415,1100,368,1057,1228,562,215,31,31,680,680,680,1208,2,2,2,2,2,2,2,2,1208,2,2,2,2,1208,1208,2},
{1497,1166,1613,1403,107,803,993,539,1436,1289,2,240,334,634,532,1147,2,2,2,2,2,2,2,117,2,2,2,2,2,2,2,117},
{1617,289,1033,169,355,260,30,45,721,906,88,44,44,418,417,218,2,2,846,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1628,721,400,239,728,1336,984,425,65,120,1232,463,463,640,349,616,616,2,2,2,2,2,2,2,2,147,147,2,2,2,2,2},
{1628,286,541,530,1610,201,1220,1592,272,181,2,38,263,1586,1157,1157,1157,2,2,2,1157,1157,2,2,2,1157,2,2,2,2,1157,1157},
{1531,621,210,755,482,82,1308,317,427,168,2,232,116,190,701,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,701},
{1532,575,1245,360,249,630,133,1406,920,1539,63,63,76,82,82,2,2,2,770,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1102,785,118,93,1491,988,275,53,1328,26,2,2,240,647,240,761,761,761,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1478,722,113,1534,1751,115,1728,1234,777,282,508,508,1184,63,1184,855,855,2,2,2,738,738,578,578,2,2,2,2,2,2,2,2},
{1480,536,1421,164,429,84,970,1673,548,497,2,2,530,156,156,128,245,2,2,2,2,260,2,2,2,2,2,2,2,2,2,2},
{1533,1302,1286,538,619,526,1669,145,1034,125,2,1038,1038,388,388,387,729,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
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{1472,852,533,433,924,57,53,1036,410,675,1212,1212,1212,600,600,1212,1259,1245,1245,1245,1245,2,2,2,2,2,2,2,2,2,2,2},
{1228,425,1030,699,407,171,568,925,1104,97,2,2,1286,1286,1286,502,2,1219,1219,1219,1290,2,1219,1219,1219,1219,2,2,2,59,2,2},
{1547,657,777,695,1254,224,933,367,212,385,2,2,2,1422,749,245,885,710,2,2,710,710,710,45,710,710,710,710,2,336,710,2},
{1678,466,549,145,351,816,1041,334,192,192,2,2,348,1017,130,4,4,180,180,180,180,512,2,2,2,512,512,512,512,512,128,8},
{1550,569,481,1041,1680,1114,1265,160,386,194,2,2,2,533,929,531,422,531,1355,1355,1355,1355,531,216,216,2,2,2,2,2,2,2},
{1559,462,850,289,1570,71,512,858,810,835,2,2,2,2,1028,1205,1205,546,546,546,1205,1205,1205,1205,1205,2,1205,1205,1205,1205,1205,1205},
{1192,888,701,164,131,613,282,237,525,366,2,2,2,2,1737,845,845,750,2,1062,1062,1062,1062,1062,1062,1062,1062,1062,1062,2,1261,1261},
{1208,426,412,1072,274,248,1544,627,9,458,2,2,2,2,2,2,270,270,270,150,715,282,150,150,150,150,150,150,150,150,150,150},
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{1202,538,171,1177,1090,690,1566,746,1012,1012,2,2,2,2,313,781,808,313,1125,1117,930,1117,1117,1117,1117,1117,1117,1117,1117,2,2,2},
{1567,1265,372,1633,613,484,243,1523,21,275,2,2,2,431,431,431,431,2,2,978,489,889,889,889,889,889,889,889,2,2,2,2},
{1566,982,815,133,891,412,1179,831,651,268,2,2,2,367,366,367,367,63,63,767,2,2,2,2,2,2,2,2,2,2,2,2},
{1522,1422,1017,124,499,451,731,1112,1355,1355,2,2,2,854,854,336,854,336,1297,2,2,2,193,193,193,193,193,2,2,2,2,2},
{1160,1331,917,1696,401,547,122,592,863,863,2,2,703,703,703,703,495,495,495,2,2,495,495,495,495,495,269,2,2,2,269,269},
{1538,814,1027,677,524,226,756,202,242,102,2,2,912,564,1289,682,2,1125,1125,1125,1125,2,1289,1289,1289,1125,1125,1125,2,1289,1289,1289},
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{1598,434,107,270,148,1317,835,123,642,1236,2,2,67,633,771,878,771,878,878,2,2,2,771,2,2,2,2,2,2,2,2,2},
{1628,1502,1042,822,80,403,1335,684,464,426,671,671,336,336,336,2,425,896,2,2,2,2,1337,1337,1337,1337,1337,1337,2,2,2,2},
{1630,715,1368,1273,993,293,385,545,1267,896,1038,1038,270,1325,1325,2,2,961,961,961,961,961,961,2,2,961,961,2,2,961,2,961},
{1612,723,409,641,796,1087,1228,1398,623,262,740,740,870,870,397,2,2,893,893,2,2,1367,328,2,328,2,2,2,2,2,2,2},
{1614,588,652,105,441,844,734,912,532,878,1073,1073,62,1415,693,1431,1431,1431,1431,925,925,925,925,925,925,925,2,2,2,2,2,2},
{1607,1503,1072,471,221,277,854,1236,263,752,2,694,1657,934,553,2,2,2,498,498,2,802,2,46,2,2,2,2,2,2,2,2},
{1172,987,140,1964,584,600,852,1725,456,1199,718,718,791,981,791,2,2,2,2,2,1260,2,2,2,2,2,718,2,2,718,2,718},
{1746,771,620,415,1057,437,613,1034,1662,837,2,1149,1466,1149,1149,1149,1466,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1263,835,1533,789,1259,174,1497,557,644,203,2,289,604,434,434,434,2,844,844,2,2,2,1111,1111,1111,2,2,2,2,2,2,2},
{1272,884,388,1889,956,159,1172,595,219,645,2,629,107,107,1279,75,2,2,2,211,2,2,2,2,2,2,2,2,2,2,2,2},
{1797,904,172,659,349,177,692,448,1141,990,640,99,1073,806,640,640,2,640,640,911,911,911,640,640,640,640,2,2,2,2,2,2},
{1276,442,1008,1352,243,162,711,301,552,1002,668,668,384,71,384,384,2,2,2,2,2,727,727,727,777,777,777,777,777,777,2,777},
{1600,1130,171,1113,813,722,117,990,37,24,969,94,825,1398,1398,1398,1398,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1198,496,714,609,644,1159,873,249,186,1539,136,239,379,1994,2,68,68,68,68,68,2,2,192,2,969,2,2,969,2,2,969,969},
{1678,1316,460,1133,1003,150,1236,1316,1417,218,1763,1763,77,77,2,1491,771,771,771,771,771,2,771,2,2,2,2,2,2,2,2,2},
{1682,449,1067,393,136,854,36,492,637,1053,247,1111,1111,1111,2,247,247,247,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1288,1690,702,760,420,333,1213,1911,805,351,67,67,1568,1568,2,2,604,142,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1288,1858,152,894,346,104,997,203,249,1006,1278,1489,1489,555,2,2,2,1074,1074,518,2,2,518,2,2,518,2,2,2,2,2,2},
{1601,697,532,408,697,1140,1568,47,1499,780,1171,318,318,318,2,2,2,2,318,318,2,2,2,2,2,2,2,2,2,2,2,2},
{1283,1078,791,873,655,412,389,835,292,958,1245,678,1611,1519,2,2,185,2,2,2,2,2,2,1245,1245,2,2,2,2,2,2,1245},
{1685,1610,1447,1093,1255,937,703,431,522,1384,988,988,253,988,2,1892,1892,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1822,589,236,205,797,39,241,1048,181,386,102,102,102,111,1361,1361,1361,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1233,843,813,157,396,669,1531,439,640,733,996,996,996,1566,951,608,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1342,705,302,595,1200,52,83,647,519,139,103,103,103,513,2,513,2,2,2,2,2,513,2,2,2,2,2,2,2,2,2,2},
{1630,1244,142,767,1299,719,629,1716,419,837,1145,1136,1148,1405,1405,1405,2,2,2,2,2,309,309,309,309,309,2,2,2,2,2,2},
{1636,974,279,419,893,1608,1491,156,1486,115,730,730,863,509,924,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1318,1234,213,1089,1567,602,1330,404,467,718,249,215,354,177,59,332,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1732,1771,584,533,297,1056,669,293,146,311,1176,311,590,590,277,2,2,2,2,2,2,2,2,2,539,539,2,2,2,2,2,2},
{1026,512,1196,394,1259,1313,762,549,311,1576,1576,465,465,140,465,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1360,383,1470,502,1010,153,1588,619,1246,396,1107,1107,112,423,423,2,2,2,2,2,202,2,2,2,2,2,2,2,2,2,2,2},
{1320,1636,858,1210,509,194,1575,154,1424,455,1860,832,1075,581,262,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1670,1350,689,1074,437,956,587,642,1154,439,196,1108,1108,1108,990,2,2,2,2,2,1112,2,2,2,2,2,2,2,2,2,2,2},
{1873,890,920,874,591,651,768,478,331,76,760,760,760,760,67,2,2,2,2,1241,1241,1241,1241,2,2,2,2,2,2,2,1241,1241},
{1682,867,333,102,628,891,654,506,995,684,961,563,1313,1313,1313,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1672,1248,429,813,262,92,809,1248,560,1365,1392,753,753,1259,1261,2,2,2,2,2,2,2,2,177,177,2,2,2,2,2,2,2},
{1391,1598,1112,590,797,584,1354,47,1473,1291,1874,48,491,463,990,463,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1875,1576,924,677,461,134,1525,1619,44,701,299,743,728,791,791,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,791,791},
{1267,904,1187,1595,765,1451,494,1573,950,909,87,1265,757,1371,1005,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1360,1091,1478,1237,97,578,1616,494,1422,223,865,1092,359,2,1080,4,2,2,2,688,1965,2,1965,2,2,2,2,2,2,2,2,2},
{1750,386,393,840,723,791,1707,1319,1525,83,1302,571,280,2,280,73,2,2,2,1207,2,2,2,2,2,2,2,2,2,2,2,2},
{1763,1018,1859,432,717,723,874,1294,1050,1800,1237,619,1074,2,10,1237,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1376,652,461,225,361,936,1073,1279,149,619,983,511,1994,2,2,1076,1076,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1947,393,495,946,1375,391,2128,582,1143,695,1872,760,760,2,2,1456,974,974,435,974,974,435,974,2,974,974,2,2,2,2,2,2},
{1768,1463,531,1008,95,1677,362,1105,985,177,1682,1682,244,2,2,1234,1041,1041,1041,2,2,2,1041,1041,2,2,2,2,2,2,1894,2},
{1780,1739,1357,1684,1586,736,208,966,1691,339,339,128,128,2,2,128,128,128,2,2,128,2,2,2,2,1929,2,2,338,2,2,338},
{1387,1459,358,1409,1919,917,777,223,313,1847,1012,1024,1024,2,2,2,2,1420,1420,1428,1420,2,1420,1420,2,2,2,1420,1117,1117,1117,1117},
{1289,907,228,665,1695,1735,489,214,762,1777,321,1674,932,2,2,2,2,1358,709,2,1959,1959,372,2,2,372,372,2,2,372,372,372},
{1378,680,1117,1367,759,62,319,563,505,1138,1093,345,693,2,2,2,780,780,2,2,2,729,729,729,2,2,2,2,2,2,729,729},
{1802,1645,453,1079,604,618,334,855,541,167,37,88,849,2,2,518,518,2,2,530,2,2,2,2,2,2,2,119,119,2,2,2},
{1275,1612,143,1586,502,987,555,436,2236,1826,494,494,358,2,2,213,2,2,2,2,2,2,1585,1585,1585,1585,1585,1585,1585,1585,1585,1585},
{1322,512,560,432,365,87,1835,1137,515,1271,1739,309,309,1229,1229,1229,2,2,2,2,2,2,2,2,416,416,416,416,2,2,2,2},
{1758,835,287,888,391,875,1834,516,1432,1171,98,408,302,976,976,1963,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1444,394,1613,796,645,1406,186,158,402,1364,314,588,606,2,577,117,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1337,1391,137,371,165,87,1026,20,419,99,572,572,918,854,918,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1323,589,526,1555,1636,1172,86,42,1545,57,627,1769,1769,2,867,343,2,2,2,2,2,2,2,724,2,2,2,2,724,724,2,2},
{1323,1647,384,301,270,549,1098,1144,1066,55,88,1805,683,2,945,120,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1327,1075,539,1017,926,350,1102,236,494,1268,286,286,1293,267,227,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1472,661,1538,487,94,2209,563,138,881,1735,718,203,1382,1473,1473,1473,1473,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1413,766,349,1471,45,625,733,1082,170,58,1268,207,1081,1081,1081,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1861,1487,419,97,799,1791,458,1029,370,627,57,414,414,1540,247,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1881,716,268,387,2138,1212,999,408,1363,434,1429,1429,1648,1648,1007,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1480,1131,1089,1688,340,962,505,1816,139,44,1350,403,1385,1996,173,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1868,650,1146,1690,948,43,497,692,1628,1302,1302,108,462,731,731,2,2,2,2,2,2,2,185,185,185,2,2,2,2,2,2,2},
{2023,1204,531,733,1054,618,668,363,783,218,1302,2055,559,2055,2055,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1328,601,601,617,554,467,391,1545,162,1361,807,1565,1565,243,1344,2,725,510,510,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1808,1525,1129,652,1195,329,1410,558,1322,911,161,536,737,94,306,2,2,2,2,2,2,2,2,2,541,541,541,2,2,2,2,2},
{1911,1338,639,1106,854,128,19,1353,847,253,618,517,2054,2054,93,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1825,850,180,1483,864,953,50,81,106,432,1372,1372,1212,10,10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1892,441,977,228,1252,604,735,136,889,878,1319,1319,2127,2127,1963,367,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1820,1553,536,1351,425,1268,227,1742,429,348,1397,552,1151,1151,2,180,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1453,1044,556,833,305,1493,989,1158,726,1790,532,1229,1229,1229,2,2,2,2,2,2,2,2,2,2,259,2,2,2,2,2,420,2},
{2059,592,492,973,137,1331,392,334,635,1480,2254,1796,1796,284,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1460,986,709,268,755,824,83,893,115,656,2071,1323,1001,144,2,2,2,2,2,2,2,2,1527,1527,1527,1527,1527,1527,1527,2,801,801},
{1850,1476,792,840,2037,229,1578,526,431,1485,1450,1001,1001,1001,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1922,1383,813,346,1247,666,1931,1111,2042,79,682,501,1349,1930,2,2,681,681,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1922,542,1739,625,88,1376,259,49,338,318,505,788,1314,657,2,2,2,1314,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1948,1530,576,582,1069,119,2131,41,1178,1677,1677,1677,325,346,2,2,2,2,2,2,1401,2,33,2,2,2,2,2,2,71,71,71},
{1928,1111,168,1252,1467,1083,1927,603,1278,714,1027,50,751,1970,2,2,2,2,621,2,100,2,2,10,10,2,2,2,2,793,793,793},
{1394,896,674,2350,1375,1599,1858,135,762,722,628,685,705,28,2,2,2,2,2,2,2,2,2,2,2,855,2,2,2,2,2,2},
{1540,791,518,419,1130,1068,299,1386,1378,134,859,859,71,162,2,71,71,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2107,709,828,154,542,184,1094,1665,307,1549,177,2007,85,773,2,2,2,2,2,2,2,2,2,2,2,697,2,2,2,2,697,2},
{1977,1218,244,365,576,666,761,238,629,913,1907,986,1351,986,704,1257,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1496,1912,1291,1053,510,2322,1048,1530,2223,673,894,594,628,332,2,2,2,2,2,295,295,295,2,2,2,2,2,2,2,2,2,2},
{1520,1107,1082,687,484,1732,676,1595,467,653,1091,428,2113,332,332,332,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1905,612,920,848,562,2032,230,1305,1073,851,731,798,798,357,516,2,2,2,2,2,2,2,2,1465,1465,373,2,2,2,2,2,2},
{1428,1062,1016,75,297,1130,533,768,464,753,48,1510,1510,418,375,1626,2,221,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1396,729,1710,337,371,489,1341,2117,132,1870,853,853,408,1079,328,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1978,1051,977,588,1423,1001,508,409,825,497,659,1063,384,463,463,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1534,854,2007,1207,947,1773,1571,1505,909,1471,1655,1655,2334,1327,409,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2157,2106,679,238,378,49,1101,588,811,1313,1556,2301,475,812,812,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2187,1515,549,1416,1073,1613,47,1046,390,252,1214,1404,1404,933,1013,2,2,2,1025,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2145,1069,662,709,737,1141,1737,827,1384,1628,107,107,1032,277,277,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2173,1379,155,393,1578,610,1911,899,697,58,185,597,597,1249,1369,2,2,2,2,1369,2,2,2,2,2,2,2,2,2,2,2,2},
{1413,1589,1603,2268,520,333,1416,859,1619,867,1154,512,1291,413,413,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1600,1823,1698,1268,623,583,1932,1674,522,529,1862,1281,246,989,246,2,246,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1559,992,174,1313,612,1487,1487,461,702,37,1660,839,2,95,1628,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2066,1719,710,1294,2041,377,1005,690,132,756,1618,187,187,726,187,615,615,2,2,2,2,851,2,2,2,2,2,2,2,2,2,744},
{2192,1029,310,1609,592,1542,265,117,2006,82,162,205,2,2009,2009,1201,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1570,1504,1414,1143,1999,1932,1015,1015,556,514,626,79,2,79,1795,1461,1461,2,2,2,2,2,2,2,1461,1461,1461,1461,1461,2,2,2},
{1562,937,1964,934,1349,378,459,109,1676,1655,1339,1809,2,768,768,188,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1965,949,1057,1043,2256,1571,970,348,69,1324,1174,485,105,105,105,2172,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2044,1869,838,1424,1097,155,1142,230,1335,420,235,1510,2,431,425,622,2,2,2,2,2,625,2,2,2,625,625,2,2,2,2,2},
{1976,1433,820,504,421,1007,388,1083,635,82,1524,750,2,2,870,106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1990,1948,1138,1787,253,115,312,1912,341,1624,260,1783,1315,1315,790,790,790,790,790,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1993,585,327,1393,1013,1671,1758,1436,1989,1217,1109,1476,2,2,1042,756,1042,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2056,1062,1605,1943,680,445,113,857,650,1388,2016,1231,2,2,1292,1292,1292,2,1039,1039,1039,1039,1039,2,2,2,2,2,2,2,2,2},
{2008,1773,416,1954,1314,742,1694,505,202,1747,785,375,2,2,2,477,1538,477,2,2,2,2,2,1309,1309,1309,1309,2,2,2,1309,2},
{1658,1008,258,749,427,1071,2052,263,1047,2152,1602,1602,2,2,2,1311,669,669,2,1897,1897,1897,669,669,669,669,669,669,669,669,669,669},
{2258,1887,1875,1021,863,604,543,1115,509,1243,312,213,2,2,2,2,335,770,770,2,1143,567,2,2,567,567,567,411,2,2,2,411},
{2266,1872,991,1468,1168,939,907,833,624,701,386,1713,2,2,2,2,2,931,861,381,1299,2,861,2,2,2,861,861,861,861,861,2},
{2273,1510,803,2278,842,1245,1389,230,822,1564,113,1276,2,2,2,2,1350,273,273,2,2,2,2,2,1281,1281,1281,2,2,1281,1281,1281},
{2278,1028,548,373,190,1443,614,2386,1940,930,557,2069,2,2,2,558,112,103,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2108,776,1568,342,2215,1882,681,1292,1601,586,1481,618,1930,1930,1930,1930,2146,89,89,2,2,2,2,2,2,2,1171,2,2,2,2,2},
{2139,2177,1652,392,715,605,778,632,472,1619,64,64,2,2,2,1747,859,2,2,2,2,2,216,216,216,216,1747,1747,1747,1747,1747,1747},
{1492,448,271,135,1288,417,130,83,235,2313,482,746,2,2,746,609,611,611,611,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1628,846,1504,138,464,401,501,506,967,1027,1540,1035,2,1921,1539,1539,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1630,1677,1624,301,1038,909,887,374,411,143,1021,174,2,1393,19,634,2,2,2,2,2,2,2,873,2,2,873,873,2,2,2,2},
{1654,1131,2054,994,2170,548,801,252,87,219,488,2239,2,1232,1839,1822,2,2,2,968,2,2,2,2,2,2,2,2,2,2,2,2},
{2065,1520,1423,1797,899,1425,1801,776,2365,58,646,695,2,998,998,1342,2,2,2,2,2,2,2,2,2,2,2,2,1150,1150,2,2},
{2304,1948,316,1063,237,607,1143,2575,1388,1022,127,251,2,438,1570,1570,1570,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2177,710,1912,617,809,1078,199,905,673,519,457,52,2,1348,1348,410,2,2,2,2,2,340,2,2,2,2,2,2,2,2,2,2},
{2073,1543,1586,1296,2466,753,455,46,119,1694,2035,1592,206,206,206,2,2,2,2,2,2,2,2,1172,2,2,2,2,2,2,2,2},
{2075,1056,874,2101,566,1790,1333,386,538,1560,2254,331,717,717,717,454,454,2,2,2,2,2,2,2,2,2,2,2,454,454,2,2},
{1670,977,1540,553,855,1729,239,757,191,62,732,549,1092,1092,199,199,199,199,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2096,1155,2257,125,1986,245,1208,2146,2287,680,1413,73,467,1410,1410,2,2,2,2,2,133,133,133,2,2,2,2,2,2,2,2,2},
{1538,1026,2157,1457,1784,2559,184,29,614,273,697,697,1922,697,697,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2106,856,1025,382,389,272,425,672,1021,216,601,292,510,510,876,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1662,608,2478,266,1330,505,40,2058,964,724,596,1221,1221,310,42,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1600,1338,196,1510,1371,1138,957,169,545,1176,1131,2460,1708,541,541,2,363,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1682,1008,737,444,822,999,2066,283,646,1860,1008,778,1178,1178,458,1743,2,2,2,2,2,2,2,2,2,2,2,2,2,1743,1743,1743},
{2132,756,1097,166,202,411,640,717,514,1389,633,633,633,633,633,633,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2386,748,620,478,647,898,320,53,1115,190,60,1860,1860,802,802,2,2,2,2,1264,1346,1346,2,2,2,2,2,2,2,2,2,2},
{2125,996,1081,124,1140,628,1668,1913,151,2495,523,430,260,708,2190,2190,2190,2,2,2,2,2,1660,2,2,497,497,497,497,497,497,2},
{1602,1489,895,383,56,698,2081,1728,794,789,16,16,797,302,52,2,2,2,2,2,2,2,2,2,2,797,797,797,797,797,797,1808},
{2210,606,901,547,131,1924,1852,1271,194,766,390,390,520,795,1429,1429,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1731,599,817,724,718,1038,1082,2503,1341,936,421,1802,1304,1304,1491,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1614,1058,847,689,749,1028,1047,1474,117,1369,1442,1442,1540,700,104,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1733,679,2041,2420,326,934,1172,1431,193,370,1073,1073,1073,260,2,2,2,2,2,2,2,2,2,2,2,2,1193,2,2,2,2,2},
{2168,1532,769,2570,1303,357,1793,1633,1226,1025,205,1218,1984,764,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2234,1706,356,581,532,933,1704,387,1345,1345,34,135,350,307,614,614,307,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1656,2093,354,310,306,1553,106,459,175,55,1482,958,254,254,2,356,356,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1654,1035,330,533,1446,953,499,142,1527,1748,265,1437,265,510,2,2,2,2,2,2,2,1835,1835,1835,1835,2,2,2,2,2,2,2},
{1600,479,1457,246,2025,618,1612,2139,169,1492,1097,1327,2007,2007,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1744,447,845,2145,748,1555,1193,1312,916,1770,1294,546,794,323,2,2,2,2,2,1733,1733,2,2,1730,2,1733,1733,2,2,1733,551,551},
{1766,1558,1901,1393,987,1859,815,1165,50,2065,88,88,1453,1453,2,2,2,995,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1615,1267,1242,1494,399,663,68,1209,1573,528,640,1200,248,640,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1678,592,1351,509,312,721,163,1597,1262,199,2643,1330,1661,992,2,2,719,2,2,2,2,2,2,2,2,2,2,2,2,2,1704,2},
{2207,970,838,2043,1016,561,267,329,584,608,679,303,832,1613,959,959,959,1409,1409,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2217,352,447,914,1200,561,614,1616,509,2292,1114,1114,1229,52,1053,1053,1053,2,2,2,2,2,2,2,2,2,2,2,2,2,795,795},
{2313,595,1593,1951,133,282,372,2396,1117,226,2104,267,374,267,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2312,1231,1604,997,652,1096,1070,320,481,662,911,1610,342,2527,606,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2245,1541,1828,783,615,428,1282,1892,848,1219,2465,314,314,314,2,2,2,2,2,2,2,2,2,2,2,2,1323,2,2,2,2,1323},
{2522,1030,324,1264,628,1339,480,234,2351,1085,1979,2333,1339,1356,1356,2286,2,2,2,2,2,2,2,2,2,2,2,2,2530,2,2,2},
{2519,1136,612,209,994,1179,1060,2621,130,485,661,1444,2122,124,258,1114,2,2,806,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2524,1894,253,2072,1242,355,888,1362,28,480,452,1216,595,545,354,1145,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2569,1356,1053,410,437,58,1508,831,2272,383,1725,615,1191,1191,1191,2493,186,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2386,1106,709,251,784,929,1551,2481,304,2148,1546,955,2453,866,866,2,2,2264,2264,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2228,1163,1995,649,1000,680,325,1591,774,767,711,711,1418,524,711,401,976,2,2,2,2,2005,2005,2,2,2,2,2,2,1390,1390,2},
{2362,1706,564,1088,1296,1267,70,1015,496,1298,758,154,240,240,154,154,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1715,2260,357,557,783,1195,2288,1997,1120,144,247,175,1277,203,203,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2294,2360,1353,748,1439,226,940,2316,1112,1527,214,1406,1429,712,1124,2,595,595,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2303,1018,316,280,1616,909,97,1126,1295,736,216,54,2045,726,1673,2,2,2,2,2,779,779,2,2,2,2,2,2,2,2,2,2},
{2390,491,1217,1148,2314,2250,2180,308,613,662,1346,1346,1346,1280,778,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1732,527,1303,664,71,294,404,917,1074,180,2618,2412,441,1987,1750,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1695,1287,1346,1181,1412,1653,830,2025,957,1720,1614,887,964,964,964,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1756,2308,1986,101,957,633,1940,1002,390,1237,95,1441,95,95,705,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2461,1412,540,1183,229,300,47,585,518,402,1863,1863,560,1326,1326,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1707,717,366,287,1883,50,599,1371,474,1551,947,2142,1885,947,2008,1004,1004,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2632,567,1149,1227,1156,2052,643,1585,1197,581,63,718,699,149,149,1940,2,2,2,2,2,2,2,2,2,2,2,2146,2,2,2,2},
{1773,2024,377,340,1938,103,1180,600,199,848,2449,2449,506,506,762,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2435,1920,394,1482,266,1637,911,1697,1689,1249,1085,1085,397,2292,1355,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2345,662,270,324,1061,1080,1952,593,1480,2111,2667,2093,2059,2120,955,1447,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1777,455,1487,1190,455,1542,977,2308,437,1129,410,856,1420,412,412,766,2,2034,2034,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2662,2224,1142,656,59,598,730,458,226,1151,741,1286,1015,2,688,2017,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2666,768,529,990,2329,130,1678,2466,318,1083,387,1524,511,2,731,731,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2501,1216,246,1278,718,704,2019,88,273,1203,67,1488,1828,2,2,1489,1489,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2474,2292,1818,2061,2833,751,2172,1708,1210,1675,370,131,163,2,2,163,163,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1751,1575,889,828,82,1956,712,499,1420,1686,339,2326,2035,2,2,558,558,2,1234,2,2,2,2,2,2,2,2,2,2,2,1239,1239},
{2522,1148,1943,168,218,252,543,1535,2004,130,353,353,42,2,2,2,1173,1173,2,1547,2,2,2,2,2,2,2,1547,1173,1547,1547,2},
{2695,432,1213,579,865,1637,1857,84,447,155,2492,347,1980,2,2,2,1155,1155,1155,2,1933,1933,1933,2,2,2,2,2,2,2,1901,1901},
{1808,1683,474,1761,106,602,1416,217,1351,1602,366,393,1966,2,2,2,2,2,378,378,606,606,606,2,2,2,2,2,919,919,919,919},
{2428,1576,1692,449,2012,240,1167,418,272,1557,2197,645,645,2,2,2,2,2,2150,2150,2,2,562,715,2,2,2,81,81,2,2,2},
{2727,781,1689,1709,997,2563,1032,468,44,992,1214,725,75,2,2,2,2,360,360,380,2,2,2,2,2,2,2,2,2,2,2,2},
{1948,1085,1344,2090,1435,2389,3193,1007,1003,244,667,1838,2062,2,2,2,1802,299,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2433,932,689,818,2014,1498,749,1645,867,1627,47,1766,2193,2,2,2030,2030,2,430,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2463,712,1525,2092,2942,352,761,242,2178,2339,483,1905,1347,2,2,65,529,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2547,920,386,925,74,579,323,2319,520,2332,1535,751,1591,2,770,770,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2452,2588,2055,665,818,2622,413,1260,965,211,989,1219,166,2,1251,1251,2,1256,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1957,2311,993,276,293,2826,1087,880,927,1811,1122,2974,2974,2,2,590,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2552,998,533,827,1619,831,1861,918,750,1955,241,1899,448,2151,2151,449,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1860,579,1000,1575,898,170,185,1032,293,2754,438,459,459,2,1199,1199,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2602,2417,1888,2528,1410,669,1543,233,814,2478,225,1449,1449,224,1671,1671,2,2,931,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1889,2527,1366,1371,387,925,1751,162,250,1064,292,467,467,546,1244,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2492,1186,1350,1616,2749,1962,33,708,279,813,1390,489,1203,268,173,2410,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2500,1575,423,541,561,380,262,1564,1923,1242,2084,1758,1283,2213,924,924,2,2,2,2,2,2,2,2,2,2,2,1827,1827,2,2,2},
{1842,1736,489,743,1539,1681,683,1412,1418,312,2778,2778,1975,1975,803,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2824,1183,2201,278,241,2230,1591,1648,1036,818,1321,1312,754,813,813,813,813,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1900,2506,952,1059,163,870,681,1235,1271,1188,2071,1705,1183,648,404,2,2,2,2,2,2,2,2,2236,2236,2,2,2,2,2,2,2},
{2662,1443,2327,132,490,1149,1572,744,429,621,1763,2383,1903,1246,964,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2673,2182,1307,1776,1233,1828,1828,340,249,216,503,160,160,582,926,2129,2129,2129,2129,2129,2129,2129,2129,2129,2129,2129,2129,2,1018,1018,1103,1103},
{2042,620,1074,2057,2758,859,815,1127,766,1693,252,808,981,416,416,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2102,881,2170,1673,705,101,58,1712,1568,214,758,488,1007,269,243,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2692,2665,961,1478,324,429,1311,376,1648,130,2083,1047,409,343,343,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2122,1087,563,1669,647,2996,151,2458,250,310,71,1348,355,965,2815,1333,1333,2,2,2,2,2218,2,2,2,2,2,2,2,2,2,2},
{1952,1968,2260,2945,2464,1055,2626,570,1316,1828,1828,970,970,221,220,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2072,1947,1779,254,2822,1552,855,804,3452,202,695,82,684,208,1270,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1947,1699,1341,486,1765,1960,264,899,1082,1674,987,1878,930,1008,930,930,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1953,1527,1643,591,1517,2427,1232,1555,2542,495,675,2534,2534,3106,83,3106,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2744,1728,2213,792,761,1667,1908,31,447,442,815,2865,762,762,762,762,2,2,2,2,2,2,2,2,2,2,2,2,649,649,649,2},
{2722,1406,1257,807,2191,3017,1330,1023,602,2124,794,530,733,733,1083,2528,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{1963,1525,437,398,609,393,2420,3059,435,1251,1977,1672,450,1960,1954,1960,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2626,2468,2838,845,2060,218,1080,912,911,1973,1365,920,1316,1316,2,1316,1316,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2734,1727,1743,1026,809,1154,779,244,1238,1616,812,784,825,1810,1810,1810,1810,1559,1559,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2180,2262,1651,204,3193,2121,2725,1016,629,1834,603,2848,26,26,728,728,728,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2648,1328,2578,133,1377,105,2485,2139,323,1045,145,761,1201,1848,2,814,814,814,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2999,358,250,1379,102,2349,1491,2074,42,376,2811,1220,296,296,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2810,1274,499,742,1724,425,190,1561,1302,2603,2255,917,661,661,2,2,2,495,2,2,2,2,2,2,2,2,2,2575,2,2,2,2},
{2150,589,876,1616,2655,432,902,1028,433,1375,574,1400,1400,1400,2,2,2,2,2,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529},
{1665,1856,201,824,796,249,1217,590,1375,1175,1599,824,824,3319,2,2,2,601,1961,1961,2,2,2,1961,2,2,2,2,2,2,1961,2},
{2704,2239,1260,140,2161,2781,1840,574,2353,343,3218,61,2108,2038,1873,2,1833,1408,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2173,876,802,2197,3338,176,1783,224,1763,1160,1264,1264,2864,554,2,552,552,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2708,1663,2279,824,836,1598,2101,1620,1202,1606,1368,1079,1167,1999,2848,2848,2848,1101,1101,1101,2,2,2,662,2,2,2,2272,2,2,2,2},
{1987,1463,2328,1890,1443,2086,283,2895,522,1577,1514,1657,2605,891,2,1181,1181,2,2,2121,2,2,2,2,2,2,2,2,2,2,2,2},
{2173,1637,1139,905,1802,1378,296,439,1507,1017,1427,209,708,462,1508,1508,1508,2,2,2,2,2,2,2,2,2,2,2240,2240,1459,1459,1459},
{2206,1526,628,2877,802,2587,1253,1258,1044,2195,3246,40,2898,2898,1704,598,2,2145,2,2,2,2145,2,2,2,2,2,2,2,2,2,2},
{2182,618,1022,1433,1138,1580,2590,149,796,2090,743,294,294,1117,720,3003,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2025,1805,1466,1213,2006,1903,568,1700,1355,865,1783,1006,1006,1070,1070,268,2,2,2,2,2388,2388,845,845,845,2,2,2,2,2,2,2},
{2185,1038,3050,1461,2270,2159,958,1637,233,2483,525,987,437,437,437,3065,2,2,2160,2160,2,2,2,2,2,2,2,2,2,2,2160,2160},
{2083,1465,847,1450,502,447,2168,794,1761,1324,162,188,2853,2853,636,973,2,563,2,2,2,2,2,2,2,2089,2089,2089,2089,2089,2,2},
{2923,2303,203,508,472,648,3169,269,515,3147,2415,1700,1700,1700,1461,1461,1461,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2300,1116,1555,2794,1095,998,1999,894,963,753,324,2130,2675,2675,554,2045,2,2,2,2,2,2,2,2130,2130,2130,2,2,2,2,2,2},
{2103,768,702,1548,1486,2228,2846,861,665,1497,1046,1046,2252,394,394,1901,1155,2,2,2,2,2,2,2,2,2,2,2,192,192,192,192},
{2923,640,661,2179,1207,182,872,171,738,269,1372,222,908,2069,2069,2,1550,516,2,2,2,2,2,2,2,2,2,2,1109,2,2,2},
{2833,2005,387,733,562,468,317,224,94,478,1606,2522,1606,2001,1087,2,2,1087,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2125,2479,1749,1226,1169,1681,459,652,1087,2211,1613,686,2213,1689,2446,2,2,2925,2925,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2953,1059,205,3093,138,132,2148,1345,1499,216,151,1296,2446,1610,1632,2,2,2,2,4,4,2,2,2,987,987,2,2,2,2,2,2},
{3199,1431,593,2050,2785,507,1540,1103,1740,459,62,1766,1781,1121,1600,2,1600,1600,125,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2258,1714,415,373,1919,2605,693,827,1918,496,1479,1903,86,1083,415,2,2,38,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3289,2032,329,2169,2323,1599,517,1704,1847,804,632,40,40,40,40,40,40,40,40,2,2,1600,2,2,1600,2,2,2,2,2,2,2},
{2165,2725,2293,368,705,3063,494,103,12,1332,175,2331,3144,2165,1709,1709,2090,2,2,2,2,1363,1363,2,566,2,2,2,2,2,2,2},
{2300,1070,2169,2540,734,1002,912,1386,2215,224,1285,880,2052,2052,1301,959,563,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3267,1852,1037,648,611,1250,432,853,1467,179,715,2,2033,841,2607,2607,2607,2607,2,2,2,2,1874,1874,2,1874,899,2,2,2,2,2},
{2348,2565,794,859,1740,1596,532,462,457,1014,1227,2,2761,954,249,249,2,458,458,2,2,2,2,2,909,909,2,2,2,2,2,2},
{3038,2399,1450,1276,1222,727,552,646,1055,2351,686,63,252,504,3166,1802,2,2,1165,1165,1165,2,2,2,2,1165,1165,1165,2,2,1165,2},
{3038,2519,1494,107,2597,802,535,1669,1695,1928,1940,1580,1580,85,2274,1551,2,2,2431,560,560,560,2,2,1098,2,2,2,2,2,2,2},
{3040,1044,1927,1952,1479,3124,1373,1990,588,2550,1277,2,629,2671,1842,2712,840,1702,2,1669,2,1347,2,2,2,2,1669,1669,1669,1669,2,1669},
{3056,1567,691,1243,653,751,248,842,1954,480,458,2,2,2451,934,3172,3556,2259,2312,2,2562,2562,2,2,2562,2562,2562,2562,2562,2,2,2},
{2959,2553,1333,877,2492,3169,2498,686,2030,2820,3233,1313,1313,1471,1471,1471,1471,2,2,1471,1471,2,2,1481,2,1887,2,2,2,2,2,2},
{3398,964,862,301,1705,2002,310,644,144,1091,1507,2,2,2460,496,496,2517,2517,1842,2,2,1964,2,2,2,2,2,1676,2,2,2,2},
{2379,3034,166,302,2108,1078,2976,68,158,134,1567,2,2,1514,1514,1514,1883,1883,2,2,1883,1883,1883,1883,1883,1883,1883,1883,1883,2,2,2},
{2386,1270,1204,1032,1474,224,496,2296,1536,1219,311,2,2,2,2,1238,2108,2108,2108,2108,2108,2108,2108,2108,1444,1444,1444,1444,1444,1444,1444,2},
{2431,739,2488,1386,1632,2107,2602,2139,1751,349,3147,2,2,64,16,8,32,4,4,32,728,728,728,728,2,2,64,16,8,180,180,180},
{3405,2142,1621,110,2112,2097,807,740,747,282,372,2,2,2,2,2493,2493,2493,1299,2,132,1872,2,1843,2,2,2,2,2,2,2,2},
{3157,1230,685,1513,663,1335,2100,1441,1826,1670,1539,2,2,2,2899,2899,1378,54,2,46,46,2,2,1362,1362,2,2,2,2,2,2,2},
{2415,822,3658,449,1980,891,129,823,1787,621,514,2668,2668,2668,2668,2668,666,269,2830,2,2,2,2,241,370,370,370,370,2,2,2,2},
{2463,2664,2825,1208,882,629,428,428,356,343,1730,2,769,769,769,1714,769,2,2,955,769,2,2,955,955,955,2,2,2,955,955,955},
{2447,1588,1077,831,1413,2362,1499,1812,1112,815,129,1034,1034,1867,194,518,1454,723,723,1251,2,160,2,2,1251,1251,2,2,2,2,2,2},
{3094,1638,1514,843,1503,1884,1481,727,723,1319,226,2,676,2401,1699,562,639,639,1176,2,2,2,2,824,2,2,2,2,2,2,2,2},
{3125,2004,547,2986,2919,471,948,1747,201,1862,802,2,1238,1277,1277,1277,2,2,1245,1245,1245,2,2,2743,1245,1245,2,2,2,2,2,2},
{2582,2469,533,1726,1575,1505,2448,2031,1257,427,588,1633,202,3553,1938,672,195,195,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2378,636,1958,1628,1255,2285,2208,1626,719,2944,1086,1436,1436,1719,2111,655,2637,2637,2,2,2,2637,2637,2,2637,2637,2637,2637,2637,2,2637,2637},
{2372,3079,2161,515,368,847,955,1257,1937,315,2666,1938,1723,1252,1252,362,362,2,2205,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2518,2060,1055,362,1455,1899,1105,1560,2237,2451,2080,181,2346,181,1829,1829,1829,2,2,1509,1509,1509,2,1509,2,2,2,2,2,2,2,2},
{3580,1671,674,1838,814,1409,323,3021,1047,2579,2579,2968,2968,102,2656,2638,2638,4006,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3194,1576,1084,859,2879,1600,953,1429,471,867,1105,1490,293,293,293,2,2,198,2619,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3215,2004,3333,2271,3283,1660,2135,1696,1413,1362,834,253,253,253,3802,2,2,2,1881,690,690,2,2,2,1881,1881,1881,1881,1881,2,1881,1881},
{3719,2441,2094,1665,1707,1827,1310,230,1635,143,386,1029,1070,1062,1062,2,1062,1062,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3249,1309,1232,472,711,2557,1479,1027,145,489,1377,2928,2928,3522,3522,3522,968,415,415,2,2,2,2,1332,1332,1332,2,1332,2891,2,1332,2891},
{2462,1962,257,2244,1966,1905,204,262,799,319,752,1696,971,971,3781,1426,1426,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3434,3131,1399,3413,1533,281,3288,1242,810,135,2506,2506,1742,946,1015,1044,1044,1044,2,2,2,2,1044,1837,1837,1837,1837,1837,2,2,2,2},
{2518,1200,631,596,1946,365,2960,413,592,3878,242,2714,2364,1402,1402,2322,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3362,2012,1759,2002,1365,150,3120,471,1590,3246,1296,196,196,196,2984,2323,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{3382,899,3140,2860,1155,1840,2822,355,1753,1856,1018,822,52,52,52,1102,1102,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2728,1334,274,1330,2674,2614,931,2250,883,1506,2193,1345,1089,500,2,219,390,2,2,2,2,2,2,2,390,2,2,2,2,2,2,2},
{3911,3343,202,675,1733,71,166,176,1323,2864,899,2155,1108,2172,2,2,1829,2172,1107,2,2,2,2,1107,1107,1107,2,2,2,1107,2,2},
{2757,3466,1411,1168,340,2760,1053,524,53,2090,1227,26,260,830,2,2,2,1139,2,2,2,2,2,2,2,2,2,2,2,2,2,2},
{2662,902,2371,1920,1097,1476,1008,1012,3556,468,3374,2560,591,1446,2,298,298,149,149,149,149,149,3135,3135,3135,3135,3135,2,2,2,2,2},
{2861,1407,1848,245,2186,1209,164,2577,625,132,657,2333,2333,2213,2213,2213,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
};

View File

@ -3,7 +3,7 @@
c_sources = Divonne.c
AM_CPPFLAGS = -I. -I.. -I../common -DNOUNDERSCORE
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS)
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS) "-Dcubafun_=libDivonnecubafun_"
AM_LDFLAGS = $(LOCAL_LIB_LDFLAGS)
noinst_LTLIBRARIES = libdivonne.la

View File

@ -4,14 +4,10 @@
code lifted with minor modifications from DCUHRE
by J. Berntsen, T. Espelid, and A. Genz
this file is part of Divonne
last modified 26 Jul 13 th
last modified 7 May 15 th
*/
#define NextSet(p) p = (Set *)((char *)p + setsize)
/*********************************************************************/
static void Rule13Alloc(This *t)
{
static creal w[][nrules] = {
@ -153,7 +149,7 @@ static void Rule13Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -298,7 +294,7 @@ static void Rule11Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -309,32 +305,55 @@ static void Rule11Alloc(This *t)
static void Rule9Alloc(This *t)
{
static creal w[] = {
-.0023611709677855117884, .11415390023857325268,
-.63833920076702389094, .74849988504685208004,
-.0014324017033399125142, .057471507864489725949,
-.14225104571434243234, -.062875028738286979989,
.254591133248959089, -1.207328566678236261,
.89567365764160676508, -.36479356986049146661,
.0035417564516782676826, -.072609367395893679605,
.10557491625218991012, .0021486025550098687713,
-.032268563892953949998, .010636783990231217481,
.014689102496143490175, .51134708346467591431,
.45976448120806344646, .18239678493024573331,
-.04508628929435784076, .21415883524352793401,
-.027351546526545644722, .054941067048711234101,
.11937596202570775297, .65089519391920250593,
.14744939829434460168, .057693384490973483573,
.034999626602143583822, -1.3868627719278281436,
-.2386668732575008879, .015532417276607053264,
.0035328099607090870236, .09231719987444221619,
.02254314464717892038, .013675773263272822361,
-.32544759695960125297, .0017708782258391338413,
.0010743012775049343856, .25150011495314791996 };
RC(-.002361170967785511788400941242259231309691),
RC(.1141539002385732526821323741697655347686),
RC(-.6383392007670238909386026193674701393074),
RC(.7484998850468520800423030047583803945205),
RC(-.001432401703339912514196154599769007103671),
RC(.05747150786448972594860897296200006759892),
RC(-.1422510457143424323449521620935950679394),
RC(-.06287502873828697998942424881040490136987),
RC(.2545911332489590890011611142429070613156),
RC(-1.207328566678236261002219995185143356737),
RC(.8956736576416067650809467826488567200939),
RC(-.3647935698604914666100134551377381205297),
RC(.003541756451678267682601411863388846964536),
RC(-.07260936739589367960492815865074633743652),
RC(.1055749162521899101218622863269817454540),
RC(.002148602555009868771294231899653510655506),
RC(-.03226856389295394999786630399875134318006),
RC(.01063678399023121748083624225818915724455),
RC(.01468910249614349017540783437728097691502),
RC(.5113470834646759143109387357149329909126),
RC(.4597644812080634464633352781605214342691),
RC(.1823967849302457333050067275688690602649),
RC(-.04508628929435784075980562738240804429658),
RC(.2141588352435279340097929526588394300172),
RC(-.02735154652654564472203690086290223507436),
RC(.05494106704871123410060080562462135546101),
RC(.1193759620257077529708962121565290178730),
RC(.6508951939192025059314756320878023215278),
RC(.1474493982943446016775696826942585013243),
RC(.05769338449097348357291272840392627722165),
RC(.03499962660214358382244159694487155861542),
RC(-1.386862771927828143599782668709014266770),
RC(-.2386668732575008878964134721962088068396),
RC(.01553241727660705326386197156586357005224),
RC(.003532809960709087023561817517751309380604),
RC(.09231719987444221619017126187763868745587),
RC(.02254314464717892037990281369120402214829),
RC(.01367577326327282236101845043145111753718),
RC(-.3254475969596012529657378160439011607639),
RC(.001770878225839133841300705931694423482268),
RC(.001074301277504934385647115949826755327753),
RC(.2515001149531479199576969952416196054795) };
static creal g[] = {
.47795365790226950619, .20302858736911986780,
.44762735462617812882, .125,
.34303789878087814570 };
RC(.4779536579022695061928604197171830064732),
RC(.2030285873691198677998034402373279133258),
RC(.4476273546261781288207704806530998539285),
RC(.125),
RC(.3430378987808781457001426145164678603407) };
enum { nsets = 9 };
@ -440,7 +459,7 @@ static void Rule9Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -451,21 +470,33 @@ static void Rule9Alloc(This *t)
static void Rule7Alloc(This *t)
{
static creal w[] = {
.019417866674748388428, -.40385257701150182546,
.64485668767465982223, .01177982690775806141,
-.18041318740733609012, -.088785828081335044443,
.056328645808285941374, -.0097089333373741942142,
-.99129176779582358138, -.17757165616267008889,
.12359398032043233572, .074978148702033690681,
.55489147051423559776, .088041241522692771226,
.021118358455513385083, -.0099302203239653333087,
-.064100053285010904179, .030381729038221007659,
.0058899134538790307051, -.0048544666686870971071,
.35514331232534017777 };
RC(.01941786667474838842844534313920462333850),
RC(-.4038525770115018254611834753723880293161),
RC(.6448566876746598222277360730193089551024),
RC(.01177982690775806141012214458820955067854),
RC(-.1804131874073360901182293138710989490609),
RC(-.08878582808133504444306598174517276122439),
RC(.05632864580828594137378124255408286479947),
RC(-.009708933337374194214222671569602311669249),
RC(-.9912917677958235813775106862002319060386),
RC(-.1775716561626700888861319634903455224488),
RC(.1235939803204323357183625846672135876752),
RC(.07497814870203369068087999555157339703666),
RC(.5548914705142355977605994477355651401434),
RC(.08804124152269277122645182458858273865209),
RC(.02111835845551338508329573367808085283304),
RC(-.009930220323965333308685820460105538586058),
RC(-.06410005328501090417895544042025034295870),
RC(.03038172903822100765927778829870429682489),
RC(.005889913453879030705061072294104775339268),
RC(-.004854466668687097107111335784801155834624),
RC(.3551433123253401777722639269806910448976) };
static creal g[] = {
.47795365790226950619, .20302858736911986780,
.375, .34303789878087814570 };
RC(.4779536579022695061928604197171830064732),
RC(.2030285873691198677998034402373279133258),
RC(.375),
RC(.3430378987808781457001426145164678603407) };
enum { nsets = 6 };
@ -541,7 +572,7 @@ static void Rule7Alloc(This *t)
-s->weight[r + 1]/s->weight[r];
real sum = 0;
for( x = first; x <= last; NextSet(x) )
sum += x->n*fabs(x->weight[r + 1] + scale*x->weight[r]);
sum += x->n*fabsx(x->weight[r + 1] + scale*x->weight[r]);
s->scale[r] = scale;
s->norm[r] = 1/sum;
}
@ -666,7 +697,7 @@ static void SampleRule(This *t, ccount iregion)
real maxerr = 0;
for( s = first; s <= last; NextSet(s) )
maxerr = Max(maxerr,
fabs(sum[rul + 1] + s->scale[rul]*sum[rul])*s->norm[rul]);
fabsx(sum[rul + 1] + s->scale[rul]*sum[rul])*s->norm[rul]);
sum[rul] = maxerr;
}

View File

@ -2,14 +2,16 @@
Sample.c
most of what is related to sampling
this file is part of Divonne
last modified 30 Aug 13 th
last modified 12 Mar 15 th
*/
#define MARKMASK 0xfffffff
#define MARKMASK NUMBER_MAX
#define Marked(x) ((x) & ~MARKMASK)
#define Unmark(x) ((x) & MARKMASK)
#define NWANTMAX NUMBER_MAX
#define EXTRAPOLATE_EPS (.25*t->border.lower)
/*#define EXTRAPOLATE_EPS 0x1p-26*/
@ -96,7 +98,7 @@ static void SampleKorobov(This *t, ccount iregion)
}
if( dist > 0 ) {
dist = sqrt(dist)/EXTRAPOLATE_EPS;
dist = sqrtx(dist)/EXTRAPOLATE_EPS;
for( dim = 0; dim < t->ndim; ++dim ) {
real x2 = x[dim], dx = x2 - t->border.upper;
if( dx > 0 ) {
@ -148,7 +150,7 @@ static void SampleKorobov(This *t, ccount iregion)
1..39 = multiplicator, Korobov numbers,
40..inf = absolute # of points, Korobov numbers. */
static count SamplesLookup(This *t, Samples *samples, cint key,
static number SamplesLookup(This *t, Samples *samples, cint key,
cnumber nwant, cnumber nmax, number nmin)
{
number n;
@ -191,7 +193,8 @@ static count SamplesLookup(This *t, Samples *samples, cint key,
static void SamplesAlloc(cThis *t, Samples *samples)
{
#define FIRST -INT_MAX
#define MarkLast(x) (x | Marked(INT_MAX))
#define MarkLast(x) ((x) | 0x40000000)
#define UnmarkLast(x) ((x) & 0x3fffffff)
#include "KorobovCoeff.c"
@ -205,12 +208,12 @@ static void SamplesAlloc(cThis *t, Samples *samples)
while( i = IMin(IDim(i), max),
n > (p = prime[i + 1]) || n <= prime[i] ) {
cint d = (n - Unmark(p)) >> ++shift;
cint d = (n - UnmarkLast(p)) >> ++shift;
i += Min1(d);
}
samples->coeff = coeff[i][t->ndim - KOROBOV_MINDIM];
samples->neff = p = Unmark(p);
samples->neff = p = UnmarkLast(p);
samples->n = p/2 + 1;
}
@ -240,7 +243,7 @@ static real Sample(This *t, creal *x0)
}
if( dist > 0 ) {
dist = sqrt(dist)/EXTRAPOLATE_EPS;
dist = sqrtx(dist)/EXTRAPOLATE_EPS;
for( dim = 0; dim < t->ndim; ++dim ) {
real x2 = xtmp[dim], dx, b;
if( (dx = x2 - (b = t->border.lower)) < 0 ||

View File

@ -2,7 +2,7 @@
Split.c
determine optimal cuts for splitting a region
this file is part of Divonne
last modified 31 Aug 13 th
last modified 12 Mar 15 th
*/
@ -31,7 +31,7 @@ typedef struct {
static inline real Div(creal a, creal b)
{
return (b != 0 /*&& fabs(a) > SMALL*fabs(b)*/) ? a/b : a;
return (b != 0 /*&& fabsx(a) > SMALL*fabsx(b)*/) ? a/b : a;
}
/*********************************************************************/
@ -58,7 +58,7 @@ static void SomeCut(This *t, Cut *cut, Bounds *b)
yupper = Sample(t, xmid);
xmid[dim] = x;
dev = fabs(ymid - .5*(ylower + yupper));
dev = fabsx(ymid - .5*(ylower + yupper));
if( dev >= maxdev ) {
maxdev = dev;
maxdim = dim;
@ -178,7 +178,7 @@ static count FindCuts(This *t, Cut *cut, Bounds *bounds, creal vol,
for( icut = 0; icut < ncuts; ++icut ) {
Cut *c = &cut[icut];
creal diff = fabs(fmajor - c->f);
creal diff = fabsx(fmajor - c->f);
if( diff <= mindiff ) {
mindiff = diff;
mincut = c;
@ -230,18 +230,18 @@ repeat:
if( lhssqnew <= lhssq ) {
real fmax;
if( fabs(gammanew - gamma) < GAMMATOL*gamma ) break;
if( fabsx(gammanew - gamma) < GAMMATOL*gamma ) break;
gamma = gammanew;
fmax = fabs(fgamma);
fmax = fabsx(fgamma);
for( icut = 0; icut < ncuts; ++icut ) {
Cut *c = &cut[icut];
creal dfmin = SINGTOL*c->df;
creal sol = c->sol/div;
real df = c->f - c->fold;
df = (fabs(df) > SMALL*fabs(sol)) ? df/sol : 1;
c->df = (fabs(df) < fabs(dfmin)) ? dfmin : df;
fmax = Max(fmax, fabs(c->f));
df = (fabsx(df) > SMALL*fabsx(sol)) ? df/sol : 1;
c->df = (fabsx(df) < fabsx(dfmin)) ? dfmin : df;
fmax = Max(fmax, fabsx(c->f));
c->fold = c->f;
}
@ -276,7 +276,7 @@ static void Split(This *t, ccount iregion)
t->selectedcomp = region->cutcomp;
t->neval_cut -= t->neval;
ncuts = FindCuts(t, cut, region->bounds, region->vol,
(real *)RegionResult(region) + region->xmajor, region->fmajor,
RegionMinMax(region) + region->xmajor, region->fmajor,
region->fmajor - region->fminor);
t->neval_cut += t->neval;

View File

@ -2,7 +2,7 @@
decl.h
Type declarations
this file is part of Divonne
last modified 26 Jul 13 th
last modified 9 Oct 14 th
*/
@ -44,6 +44,8 @@ typedef struct {
#define SetSize (sizeof(Set) + t->ndim*sizeof(real))
#define NextSet(p) p = (Set *)((char *)p + setsize)
typedef struct {
Set *first, *last;
real errcoeff[3];
@ -71,12 +73,11 @@ typedef const Errors cErrors;
typedef struct {
real avg, err, spread, chisq;
real fmin, fmax;
real xminmax[];
} Result;
typedef const Result cResult;
#define ResultSize (sizeof(Result) + t->ndim*2*sizeof(real))
#define MinMaxSize (t->ncomp*t->ndim*2*sizeof(real))
typedef struct region {
int depth, next;
@ -85,29 +86,34 @@ typedef struct region {
Bounds bounds[];
} Region;
#define RegionSize (sizeof(Region) + t->ndim*sizeof(Bounds) + t->ncomp*ResultSize)
#define RegionSize (sizeof(Region) + t->ndim*sizeof(Bounds) + t->ncomp*sizeof(Result) + MinMaxSize)
#define RegionResult(r) ((Result *)(r->bounds + t->ndim))
#define RegionMinMax(r) ((real *)(RegionResult(r) + t->ncomp))
#define RegionPtr(n) ((Region *)((char *)t->region + (n)*regionsize))
typedef int (*Integrand)(ccount *, creal *, ccount *, real *, void *, cint *);
typedef int (*Integrand)(ccount *, creal *, ccount *, real *,
void *, cnumber *, cint *, cint *);
typedef void (*PeakFinder)(ccount *, cBounds *, number *, real *);
typedef void (*PeakFinder)(ccount *, cBounds *, number *, real *, void *);
typedef struct _this {
count ndim, ncomp;
#ifndef MLVERSION
Integrand integrand;
void *userdata;
PeakFinder peakfinder;
number nvec;
#ifdef HAVE_FORK
int ncores, running, *child;
SHM_ONLY(int shmid;)
Spin *spin;
real *frame;
number nframe;
SHM_ONLY(int shmid;)
int running;
#endif
PeakFinder peakfinder;
#endif
real epsrel, epsabs;
int flags, seed;

View File

@ -0,0 +1,32 @@
#--- suave --------------------------------------------------------------------
#--- obj lib creation ---------------------------------------------------------
add_library(suave OBJECT
Suave.c
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
suave BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../common>
)
#--- check for pre compile flags ----------------------------------------------
set(COMP_DEF "-DHAVE_CONFIG_H")
set(COMP_DEF ${COMP_DEF} "-DNOUNDERSCORE")
set(COMP_DEF ${COMP_DEF} "-Dcubafun_=libSuavecubafun_")
target_compile_definitions(
suave PRIVATE ${COMP_DEF}
)
set(COMP_OPT "-O3")
set(COMP_OPT ${COMP_OPT} "-fomit-frame-pointer")
set(COMP_OPT ${COMP_OPT} "-ffast-math")
set(COMP_OPT ${COMP_OPT} "-fPIC")
target_compile_options(
suave PRIVATE ${COMP_OPT}
)

View File

@ -2,35 +2,43 @@
Fluct.c
compute the fluctuation in the left and right half
this file is part of Suave
last modified 29 Jul 13 th
last modified 14 Mar 15 th
*/
#if defined(HAVE_LONG_DOUBLE) && defined(HAVE_POWL)
#if defined(HAVE_LONG_DOUBLE) && defined(HAVE_POWL) && REALSIZE <= 10
typedef long double realx;
#define XDBL_MAX_EXP LDBL_MAX_EXP
#define XDBL_MAX LDBL_MAX
#define powx powl
#define ldexpx ldexpl
typedef long double realL;
#define REALL_MAX_EXP LDBL_MAX_EXP
#define REALL_MAX LDBL_MAX
#define powL powl
#define ldexpL ldexpl
#else
typedef double realx;
#define XDBL_MAX_EXP DBL_MAX_EXP
#define XDBL_MAX DBL_MAX
#define powx pow
#define ldexpx ldexp
typedef real realL;
#define REALL_MAX_EXP REAL_MAX_EXP
#define REALL_MAX REAL_MAX
#define powL powx
#define ldexpL ldexpx
#endif
typedef const realx crealx;
typedef const realL crealL;
typedef struct {
realx fluct;
realL fluct;
number n;
} Var;
static inline realL MinL(crealL a, crealL b) {
return (a < b) ? a : b;
}
static inline realL MaxL(crealL a, crealL b) {
return (a > b) ? a : b;
}
/*********************************************************************/
static void Fluct(cThis *t, Var *var,
@ -41,27 +49,27 @@ static void Fluct(cThis *t, Var *var,
count nvar = 2*t->ndim;
creal norm = 1/(err*Max(fabs(avg), err));
creal flat = 2/3./t->flatness;
crealx max = ldexpx(1., (int)((XDBL_MAX_EXP - 2)/t->flatness));
crealL max = ldexpL(1., (int)((REALL_MAX_EXP - 2)/t->flatness));
Clear(var, nvar);
while( n-- ) {
count dim;
crealx arg = 1 + fabs(*w++)*Sq(*f - avg)*norm;
crealx ft = powx(arg < max ? arg : max, t->flatness);
crealL arg = 1 + fabs(*w++)*Sq(*f - avg)*norm;
crealL ft = powL(MinL(arg, max), t->flatness);
f += t->ncomp;
for( dim = 0; dim < t->ndim; ++dim ) {
Var *v = &var[2*dim + (*x++ >= .5*(b[dim].lower + b[dim].upper))];
crealx f = v->fluct + ft;
v->fluct = (f > XDBL_MAX/2) ? XDBL_MAX/2 : f;
crealL f = v->fluct + ft;
v->fluct = MaxL(f, REALL_MAX/2);
++v->n;
}
}
while( nvar-- ) {
var->fluct = powx(var->fluct, flat);
var->fluct = powL(var->fluct, flat);
++var;
}
}

View File

@ -2,7 +2,7 @@
Grid.c
utility functions for the Vegas grid
this file is part of Suave
last modified 7 Aug 13 th
last modified 12 Mar 15 th
*/
@ -33,7 +33,7 @@ static void RefineGrid(cThis *t, Grid grid, Grid margsum)
real impfun = 0;
if( margsum[bin] > 0 ) {
creal r = margsum[bin]*norm;
avgperbin += impfun = pow((r - 1)/log(r), 1.5);
avgperbin += impfun = powx((r - 1)/log(r), 1.5);
}
imp[bin] = impfun;
}

View File

@ -3,7 +3,7 @@
integrate over the unit hypercube
this file is part of Suave
checkpointing by B. Chokoufe
last modified 5 Aug 13 th
last modified 13 Mar 15 th
*/
@ -26,22 +26,27 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
Result *tot, *Tot = state->totals + t->ncomp;
Result *res, *resL, *resR;
Bounds *b, *B;
cnumber minsamples = IMax(t->nmin, MINSAMPLES);
count dim, comp;
int fail;
if( VERBOSE > 1 ) {
sprintf(out, "Suave input parameters:\n"
" ndim " COUNT "\n ncomp " COUNT "\n"
ML_NOT(" nvec " NUMBER "\n")
" epsrel " REAL "\n epsabs " REAL "\n"
" flags %d\n seed %d\n"
" mineval " NUMBER "\n maxeval " NUMBER "\n"
" nnew " NUMBER "\n flatness " REAL "\n"
" statefile \"%s\"\n",
" nnew " NUMBER "\n nmin " NUMBER "\n"
" flatness " REAL "\n"
" statefile \"%s\"",
t->ndim, t->ncomp,
t->epsrel, t->epsabs,
ML_NOT(t->nvec,)
SHOW(t->epsrel), SHOW(t->epsabs),
t->flags, t->seed,
t->mineval, t->maxeval,
t->nnew, t->flatness,
t->nnew, t->nmin,
SHOW(t->flatness),
t->statefile);
Print(out);
}
@ -49,7 +54,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
if( BadComponent(t) ) return -2;
if( BadDimension(t) ) return -1;
ShmAlloc(t, ShmRm(t));
ShmAlloc(t, Master);
ForkCores(t);
if( (fail = setjmp(t->abort)) ) goto abort;
@ -132,7 +137,8 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
for( tot = state->totals, comp = 0; tot < Tot; ++tot )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL " \tchisq " REAL " (" COUNT " df)",
++comp, tot->avg, tot->err, tot->chisq, state->df);
++comp, SHOW(tot->avg), SHOW(tot->err),
SHOW(tot->chisq), state->df);
Print(out);
}
@ -173,7 +179,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
region->result[maxcomp].avg, Max(maxerr, t->epsabs));
bias = (t->epsrel < 1e-50) ? 2 :
Max(pow(2., -(real)region->div/t->ndim)/t->epsrel, 2.);
Max(powx(2., -(real)region->div/t->ndim)/t->epsrel, 2.);
minfluct = INFTY;
bisectdim = 0;
for( dim = 0; dim < t->ndim; ++dim ) {
@ -190,9 +196,9 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
minfluct = vLR[0].fluct + vLR[1].fluct;
nnewL = IMax(
(minfluct == 0) ? t->nnew/2 : (count)(vLR[0].fluct/minfluct*t->nnew),
MINSAMPLES );
minsamples );
nL = vLR[0].n + nnewL;
nnewR = IMax(t->nnew - nnewL, MINSAMPLES);
nnewR = IMax(t->nnew - nnewL, minsamples);
nR = vLR[1].n + nnewR;
regionL = RegionAlloc(t, nL, nnewL);
@ -211,7 +217,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
while( n-- ) {
cbool final = (*w < 0);
if( x[bisectdim] < mid ) {
if( final && wR > RegionW(regionR) ) wR[-1] = -fabs(wR[-1]);
if( final && wR > RegionW(regionR) ) wR[-1] = -fabsx(wR[-1]);
*wL++ = *w++;
XCopy(xL, x);
xL += t->ndim;
@ -219,7 +225,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
fL += t->ncomp;
}
else {
if( final && wL > RegionW(regionL) ) wL[-1] = -fabs(wL[-1]);
if( final && wL > RegionW(regionL) ) wL[-1] = -fabsx(wL[-1]);
*wR++ = *w++;
XCopy(xR, x);
xR += t->ndim;
@ -259,15 +265,15 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
diff = Sq(.25*diff);
sigsq = resL->sigsq + resR->sigsq;
if( sigsq > 0 ) {
creal c = Sq(1 + sqrt(diff/sigsq));
creal c = Sq(1 + sqrtx(diff/sigsq));
resL->sigsq *= c;
resR->sigsq *= c;
}
resL->err = sqrt(resL->sigsq += diff);
resR->err = sqrt(resR->sigsq += diff);
resL->err = sqrtx(resL->sigsq += diff);
resR->err = sqrtx(resR->sigsq += diff);
tot->sigsq += resL->sigsq + resR->sigsq - res->sigsq;
tot->err = sqrt(tot->sigsq);
tot->err = sqrtx(tot->sigsq);
tot->chisq += resL->chisq + resR->chisq - res->chisq;
}
@ -319,12 +325,12 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
MLPutFunction(stdlink, "Cuba`Suave`region", 3);
MLPutRealList(stdlink, bounds, 2*t->ndim);
MLPutRealxList(stdlink, bounds, 2*t->ndim);
MLPutFunction(stdlink, "List", t->ncomp);
for( Res = (res = region->result) + t->ncomp; res < Res; ++res ) {
real r[] = {res->avg, res->err, res->chisq};
MLPutRealList(stdlink, r, Elements(r));
MLPutRealxList(stdlink, r, Elements(r));
}
MLPutInteger(stdlink, region->df);
@ -338,8 +344,7 @@ abort:
anchor = anchor->next;
free(region);
}
WaitCores(t);
ShmFree(t);
ShmFree(t, Master);
StateRemove(t);

View File

@ -3,7 +3,7 @@
c_sources = Suave.c
AM_CPPFLAGS = -I. -I.. -I../common -DNOUNDERSCORE
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS)
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS) "-Dcubafun_=libSuavecubafun_"
AM_LDFLAGS = $(LOCAL_LIB_LDFLAGS)
noinst_LTLIBRARIES = libsuave.la

View File

@ -2,7 +2,7 @@
Sample.c
the sampling step of Suave
this file is part of Suave
last modified 30 Jul 13 th
last modified 13 Mar 15 th
*/
@ -71,7 +71,7 @@ static void Sample(This *t, cnumber nnew, Region *region,
while( w < lastw ) {
cbool final = (*w < 0);
creal weight = fabs(*w++);
creal weight = fabsx(*w++);
++n;
for( c = cumul, comp = 0; c < C; ++c ) {
@ -80,20 +80,20 @@ static void Sample(This *t, cnumber nnew, Region *region,
c->sqsum += Sq(wfun);
if( final ) {
if( n > 1 ) {
if( n >= t->nmin ) {
real w = Weight(c->sum, c->sqsum, n);
c->weightsum += c->weight = w;
c->avgsum += c->avg = w*c->sum;
if( VERBOSE > 2 ) {
creal sig = sqrt(1/w);
creal sig = sqrtx(1/w);
ss[comp] += (df == 0) ?
sprintf(ss[comp], "\n[" COUNT "] "
REAL " +- " REAL " (" NUMBER ")", comp + 1,
c->sum, sig, n) :
SHOW(c->sum), SHOW(sig), n) :
sprintf(ss[comp], "\n "
REAL " +- " REAL " (" NUMBER ")",
c->sum, sig, n);
SHOW(c->sum), SHOW(sig), n);
}
if( df == 0 ) c->guess = c->sum;
@ -107,7 +107,7 @@ static void Sample(This *t, cnumber nnew, Region *region,
}
}
if( final ) ++df, n = 0;
if( final ) df -= NegQ(t->nmin - n - 1), n = 0;
}
region->df = --df;
@ -124,7 +124,7 @@ static void Sample(This *t, cnumber nnew, Region *region,
res->sigsq = sigsq;
res->avg = avg;
}
res->err = sqrt(res->sigsq);
res->err = sqrtx(res->sigsq);
res->chisq = (sigsq < .9*NOTZERO) ? 0 : c->chisqsum - avg*c->chisum;
/* This catches the special case where the integrand is constant
@ -153,7 +153,7 @@ static void Sample(This *t, cnumber nnew, Region *region,
for( comp = 0, res = region->result;
comp < t->ncomp; ++comp, ++res ) {
p += sprintf(p, "%s \tchisq " REAL " (" COUNT " df)",
p0, res->chisq, df);
p0, SHOW(res->chisq), df);
p0 += chars;
}

View File

@ -1,8 +1,8 @@
/*
Suave.c
Subregion-adaptive Vegas Monte-Carlo integration
Subregion-adaptive Vegas Monte Carlo integration
by Thomas Hahn
last modified 17 Sep 13 th
last modified 28 Nov 14 th
*/
@ -15,64 +15,80 @@
/*********************************************************************/
Extern void EXPORT(Suave)(ccount ndim, ccount ncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber nvec,
creal epsrel, creal epsabs,
cint flags, cint seed,
cnumber mineval, cnumber maxeval,
cnumber nnew, creal flatness,
cchar *statefile,
cnumber nnew, cnumber nmin, creal flatness,
cchar *statefile, Spin **pspin,
count *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob)
{
This t;
VerboseInit();
t.ndim = ndim;
t.ncomp = ncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = nvec;
t.epsrel = epsrel;
t.epsabs = epsabs;
t.flags = flags;
t.flags = MaxVerbose(flags);
t.seed = seed;
t.mineval = mineval;
t.maxeval = maxeval;
t.nnew = nnew;
t.nmin = IMax(nmin, 2);
t.flatness = flatness;
t.statefile = statefile;
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}
/*********************************************************************/
Extern void EXPORT(suave)(ccount *pndim, ccount *pncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber *pnvec,
creal *pepsrel, creal *pepsabs,
cint *pflags, cint *pseed,
cnumber *pmineval, cnumber *pmaxeval,
cnumber *pnnew, creal *pflatness,
cchar *statefile,
cnumber *pnnew, cnumber *pnmin, creal *pflatness,
cchar *statefile, Spin **pspin,
count *pnregions, number *pneval, int *pfail,
real *integral, real *error, real *prob, cint statefilelen)
{
This t;
VerboseInit();
t.ndim = *pndim;
t.ncomp = *pncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = *pnvec;
t.epsrel = *pepsrel;
t.epsabs = *pepsabs;
t.flags = *pflags;
t.flags = MaxVerbose(*pflags);
t.seed = *pseed;
t.mineval = *pmineval;
t.maxeval = *pmaxeval;
t.nnew = *pnnew;
t.nmin = IMax(*pnmin, 2);
t.flatness = *pflatness;
CString(t.statefile, statefile, statefilelen);
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pnregions = t.nregions;
*pneval = t.neval;
WaitCores(&t, pspin);
}

12
src/external/libCuba/src/suave/Suave.lo vendored Normal file
View File

@ -0,0 +1,12 @@
# Suave.lo - a libtool object file
# Generated by libtool (GNU libtool) 2.4.6
#
# Please DO NOT delete this file!
# It is necessary for linking the library.
# Name of the PIC object.
pic_object='.libs/Suave.o'
# Name of the non-PIC object
non_pic_object=none

View File

@ -2,7 +2,7 @@
decl.h
Type declarations
this file is part of Suave
last modified 29 Jul 13 th
last modified 25 Nov 14 th
*/
@ -35,23 +35,24 @@ typedef struct {
typedef const Bounds cBounds;
typedef int (*Integrand)(ccount *, creal *, ccount *, real *,
void *, creal *, cint *);
void *, cnumber *, cint *, creal *, cint *);
typedef struct _this {
count ndim, ncomp;
#ifndef MLVERSION
Integrand integrand;
void *userdata;
number nvec;
#ifdef HAVE_FORK
int ncores, *child;
real *frame;
SHM_ONLY(int shmid;)
Spin *spin;
real *frame;
#endif
#endif
real epsrel, epsabs;
int flags, seed;
number mineval, maxeval;
number nnew;
number nnew, nmin;
real flatness;
cchar *statefile;
count nregions;

View File

@ -0,0 +1,32 @@
#--- vegas --------------------------------------------------------------------
#--- obj lib creation ---------------------------------------------------------
add_library(vegas OBJECT
Vegas.c
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
vegas BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../common>
)
#--- check for pre compile flags ----------------------------------------------
set(COMP_DEF "-DHAVE_CONFIG_H")
set(COMP_DEF ${COMP_DEF} "-DNOUNDERSCORE")
set(COMP_DEF ${COMP_DEF} "-Dcubafun_=libVegascubafun_")
target_compile_definitions(
vegas PRIVATE ${COMP_DEF}
)
set(COMP_OPT "-O3")
set(COMP_OPT ${COMP_OPT} "-fomit-frame-pointer")
set(COMP_OPT ${COMP_OPT} "-ffast-math")
set(COMP_OPT ${COMP_OPT} "-fPIC")
target_compile_options(
vegas PRIVATE ${COMP_OPT}
)

View File

@ -2,7 +2,7 @@
Grid.c
utility functions for the Vegas grid
this file is part of Vegas
last modified 13 Dec 11 th
last modified 12 Mar 15 th
*/
@ -70,7 +70,7 @@ static void RefineGrid(cThis *t, Grid grid, Grid margsum)
real impfun = 0;
if( margsum[bin] > 0 ) {
creal r = margsum[bin]*norm;
avgperbin += impfun = pow((r - 1)/log(r), 1.5);
avgperbin += impfun = powx((r - 1)/log(r), 1.5);
}
imp[bin] = impfun;
}

View File

@ -2,7 +2,7 @@
Integrate.c
integrate over the unit hypercube
this file is part of Vegas
last modified 8 Aug 13 th
last modified 13 Mar 15 th
*/
@ -31,6 +31,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
if( VERBOSE > 1 ) {
sprintf(out, "Vegas input parameters:\n"
" ndim " COUNT "\n ncomp " COUNT "\n"
ML_NOT(" nvec " NUMBER "\n")
" epsrel " REAL "\n epsabs " REAL "\n"
" flags %d\n seed %d\n"
" mineval " NUMBER "\n maxeval " NUMBER "\n"
@ -38,7 +39,8 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
" nbatch " NUMBER "\n gridno %d\n"
" statefile \"%s\"",
t->ndim, t->ncomp,
t->epsrel, t->epsabs,
ML_NOT(t->nvec,)
SHOW(t->epsrel), SHOW(t->epsabs),
t->flags, t->seed,
t->mineval, t->maxeval,
t->nstart, t->nincrease, t->nbatch,
@ -49,7 +51,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
if( BadComponent(t) ) return -2;
if( BadDimension(t) ) return -1;
FrameAlloc(t, ShmRm(t));
FrameAlloc(t, Master);
ForkCores(t);
Alloc(bins, t->nbatch*t->ndim);
@ -68,12 +70,12 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
t->rng.skiprandom(t, t->neval);
}
if( ini ) {
if( ini | ZAPSTATE ) {
t->neval = 0;
state->niter = 0;
state->nsamples = t->nstart;
FClear(state->cumul);
GetGrid(t, state_grid);
t->neval = 0;
if( ini ) GetGrid(t, state_grid);
}
/* main iteration loop */
@ -143,7 +145,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
real avg = sigsq*(c->avgsum += w*c->sum);
c->avg = LAST ? (sigsq = 1/w, c->sum) : avg;
c->err = sqrt(sigsq);
c->err = sqrtx(sigsq);
fail |= (c->err > MaxErr(c->avg));
if( state->niter == 0 ) c->guess = c->sum;
@ -163,7 +165,8 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
for( c = state->cumul, comp = 0; c < C; ++c )
oe += sprintf(oe, "\n[" COUNT "] "
REAL " +- " REAL " \tchisq " REAL " (" COUNT " df)",
++comp, c->avg, c->err, c->chisq, state->niter);
++comp, SHOW(c->avg), SHOW(c->err),
SHOW(c->chisq), state->niter);
Print(out);
}
@ -215,8 +218,7 @@ static int Integrate(This *t, real *integral, real *error, real *prob)
abort:
PutGrid(t, state_grid);
free(bins);
WaitCores(t);
FrameFree(t);
FrameFree(t, Master);
StateRemove(t);

View File

@ -3,7 +3,7 @@
c_sources = Vegas.c
AM_CPPFLAGS = -I. -I.. -I../common -DNOUNDERSCORE
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS)
AM_CFLAGS = $(LOCAL_CUBA_LIB_CFLAGS) "-Dcubafun_=libVegascubafun_"
AM_LDFLAGS = $(LOCAL_LIB_LDFLAGS)
noinst_LTLIBRARIES = libvegas.la

View File

@ -1,8 +1,8 @@
/*
Vegas.c
Vegas Monte-Carlo integration
Vegas Monte Carlo integration
by Thomas Hahn
last modified 17 Sep 13 th
last modified 25 Nov 14 th
*/
@ -15,22 +15,27 @@
/*********************************************************************/
Extern void EXPORT(Vegas)(ccount ndim, ccount ncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber nvec,
creal epsrel, creal epsabs, cint flags, cint seed,
cnumber mineval, cnumber maxeval,
cnumber nstart, cnumber nincrease, cnumber nbatch,
cint gridno, cchar *statefile,
cnumber nstart, cnumber nincrease,
cnumber nbatch, cint gridno,
cchar *statefile, Spin **pspin,
number *pneval, int *pfail,
real *integral, real *error, real *prob)
{
This t;
VerboseInit();
t.ndim = ndim;
t.ncomp = ncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = nvec;
t.epsrel = epsrel;
t.epsabs = epsabs;
t.flags = flags;
t.flags = MaxVerbose(flags);
t.seed = seed;
t.mineval = mineval;
t.maxeval = maxeval;
@ -39,30 +44,38 @@ Extern void EXPORT(Vegas)(ccount ndim, ccount ncomp,
t.nbatch = nbatch;
t.gridno = gridno;
t.statefile = statefile;
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pneval = t.neval;
WaitCores(&t, pspin);
}
/*********************************************************************/
Extern void EXPORT(vegas)(ccount *pndim, ccount *pncomp,
Integrand integrand, void *userdata,
Integrand integrand, void *userdata, cnumber *pnvec,
creal *pepsrel, creal *pepsabs, cint *pflags, cint *pseed,
cnumber *pmineval, cnumber *pmaxeval,
cnumber *pnstart, cnumber *pnincrease,
cnumber *pnbatch, cint *pgridno, cchar *statefile,
cnumber *pnbatch, cint *pgridno,
cchar *statefile, Spin **pspin,
number *pneval, int *pfail,
real *integral, real *error, real *prob, cint statefilelen)
{
This t;
VerboseInit();
t.ndim = *pndim;
t.ncomp = *pncomp;
t.integrand = integrand;
t.userdata = userdata;
t.nvec = *pnvec;
t.epsrel = *pepsrel;
t.epsabs = *pepsabs;
t.flags = *pflags;
t.flags = MaxVerbose(*pflags);
t.seed = *pseed;
t.mineval = *pmineval;
t.maxeval = *pmaxeval;
@ -71,8 +84,11 @@ Extern void EXPORT(vegas)(ccount *pndim, ccount *pncomp,
t.nbatch = *pnbatch;
t.gridno = *pgridno;
CString(t.statefile, statefile, statefilelen);
FORK_ONLY(t.spin = Invalid(pspin) ? NULL : *pspin;)
*pfail = Integrate(&t, integral, error, prob);
*pneval = t.neval;
WaitCores(&t, pspin);
}

View File

@ -2,7 +2,7 @@
decl.h
Type declarations
this file is part of Vegas
last modified 21 Dec 11 th
last modified 21 Jul 14 th
*/
@ -29,16 +29,17 @@ typedef struct {
typedef const Cumulants cCumulants;
typedef int (*Integrand)(ccount *, creal *, ccount *, real *,
void *, creal *, cint *);
void *, cnumber *, cint *, creal *, cint *);
typedef struct _this {
count ndim, ncomp;
#ifndef MLVERSION
Integrand integrand;
void *userdata;
number nvec;
#ifdef HAVE_FORK
int ncores, *child;
SHM_ONLY(int shmid;)
Spin *spin;
#endif
#endif
real *frame;

View File

@ -0,0 +1 @@
add_subdirectory(classes)

View File

@ -0,0 +1,114 @@
# - libFitPofB library --------------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(BMW_TOOLS_INC ${CMAKE_SOURCE_DIR}/src/external/BMWtools)
set(POFB_INC ${CMAKE_SOURCE_DIR}/src/external/libFitPofB/include)
root_generate_dictionary(
TLondon1DDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
-I${POFB_INC}
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
TLondon1D.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/TLondon1DLinkDef.h
)
root_generate_dictionary(
TVortexDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
-I${POFB_INC}
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
TVortex.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/TVortexLinkDef.h
)
root_generate_dictionary(
TSkewedGssDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
-I${POFB_INC}
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
TSkewedGss.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/TSkewedGssLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(FIT_P_OF_B_VERSION "1.0.0")
set(FIT_P_OF_B_LIBRARY_NAME "FitPofB")
configure_file("FitPofB.pc.in" "FitPofB.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(FitPofB SHARED
TBofZCalc.cpp
TBulkTriVortexFieldCalc.cpp
TFilmTriVortexFieldCalc.cpp
TLondon1D.cpp
TLondon1DDict.cxx
TPofBCalc.cpp
TPofTCalc.cpp
TVortex.cpp
TVortexDict.cxx
TSkewedGss.cpp
TSkewedGssDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
FitPofB BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_SOURCE_DIR}/src/external/TLemRunHeader>
$<BUILD_INTERFACE:${BMW_TOOLS_INC}>
$<BUILD_INTERFACE:${POFB_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../include>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(FitPofB ${FFTW3_LIBRARY} ${FFTW3F_LIBRARY} ${ROOT_LIBRARIES} TLemRunHeader PUserFcnBase BMWtools)
#--- install FitPofB solib ----------------------------------------------------
install(TARGETS FitPofB DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTLondon1DDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTLondon1DDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libTVortexDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTVortexDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libTSkewedGssDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTSkewedGssDict.rootmap
DESTINATION lib
)
#--- install FitPofB header ---------------------------------------------------
install(
FILES
${CMAKE_CURRENT_SOURCE_DIR}/../include/TBofZCalc.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TBulkTriVortexFieldCalc.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TFilmTriVortexFieldCalc.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TLondon1D.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TPofBCalc.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TPofTCalc.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TSkewedGss.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/TVortex.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/FitPofB.pc
DESTINATION lib/pkgconfig
)
#]==]

View File

@ -0,0 +1,71 @@
# - libGapIntegrals library ---------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(BMW_TOOLS_INC ${CMAKE_SOURCE_DIR}/src/external/BMWtools)
root_generate_dictionary(
TGapIntegralsDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
TGapIntegrals.h
LINKDEF TGapIntegralsLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(GAP_INTEGRALS_VERSION "1.0.0")
set(GAP_INTEGRALS_LIBRARY_NAME "GapIntegrals")
configure_file("GapIntegrals.pc.in" "GapIntegrals.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(GapIntegrals SHARED
TGapIntegrals.cpp
TGapIntegralsDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
GapIntegrals BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${BMW_TOOLS_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(GapIntegrals
${GSL_LIBRARIES} ${FFTW3F_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase cuba BMWtools
)
#--- install LFRelaxation solib -----------------------------------------------
install(TARGETS GapIntegrals DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTGapIntegralsDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTGapIntegralsDict.rootmap
DESTINATION lib
)
#--- install GapIntegrals header ----------------------------------------------
install(
FILES
TGapIntegrals.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/GapIntegrals.pc
DESTINATION lib/pkgconfig
)
#]==]

View File

@ -0,0 +1,69 @@
# - libLFRelaxation library ---------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(BMW_TOOLS_INC ${CMAKE_SOURCE_DIR}/src/external/BMWtools)
root_generate_dictionary(
TLFRelaxationDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
TLFRelaxation.h
LINKDEF TLFRelaxationLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(T_LF_RELAXATION_VERSION "1.0.0")
set(T_LF_RELAXATION_LIBRARY_NAME "TLFRelaxation")
configure_file("TLFRelaxation.pc.in" "TLFRelaxation.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(LFRelaxation SHARED
TLFRelaxation.cpp
TLFRelaxationDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
LFRelaxation BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${BMW_TOOLS_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(LFRelaxation ${GSL_LIBRARIES} ${FFTW3F_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase BMWtools) # //as35 cuba lib still missing
#--- install LFRelaxation solib -----------------------------------------------
install(TARGETS LFRelaxation DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libTLFRelaxationDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libTLFRelaxationDict.rootmap
DESTINATION lib
)
#--- install TLFRelaxation header ---------------------------------------------
install(
FILES
TLFRelaxation.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/TLFRelaxation.pc
DESTINATION lib/pkgconfig
)
#]==]

View File

@ -0,0 +1 @@
add_subdirectory(classes)

View File

@ -0,0 +1,73 @@
# - Photo Meissner library ----------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
root_generate_dictionary(
PPhotoMeissnerDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
PPhotoMeissner.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/PPhotoMeissnerLinkDef.h
)
root_generate_dictionary(
PStartupHandler_PMDict
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
PStartupHandler_PM.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/PStartupHandler_PMLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(P_PHOTO_MEISSNER_VERSION "1.0.0")
set(P_PHOTO_MEISSNER_LIBRARY_NAME "PPhotoMeissner")
configure_file("PPhotoMeissner.pc.in" "PPhotoMeissner.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(PPhotoMeissner SHARED
PPhotoMeissner.cpp
PPhotoMeissnerDict.cxx
PStartupHandler_PM.cpp
PStartupHandler_PMDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
PPhotoMeissner BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../include>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(PPhotoMeissner ${FFTW3_LIBRARY} ${GSL_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase)
#--- install PPhotoMeissner solib ---------------------------------------------
install(TARGETS PPhotoMeissner DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libPPhotoMeissnerDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPPhotoMeissnerDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libPStartupHandler_PMDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPStartupHandler_PMDict.rootmap
DESTINATION lib
)
#--- install PPhotoMeissner header --------------------------------------------
install(
FILES
${CMAKE_CURRENT_SOURCE_DIR}/../include/PPhotoMeissner.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/PStartupHandler_PM.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/PPhotoMeissner.pc
DESTINATION lib/pkgconfig
)

View File

@ -0,0 +1,10 @@
prefix=@prefix@
exec_prefix=@exec_prefix@
libdir=@libdir@
includedir=@includedir@
Name: PPhotoMeissner
Description: C++ shared library providing the photo Meissner fitter class
Version: @P_PHOTO_MEISSNER_VERSION@
Libs: -L${libdir} -l@P_PHOTO_MEISSNER_LIBRARY_NAME@
Cflags: -I${includedir}

View File

@ -0,0 +1 @@
add_subdirectory(classes)

View File

@ -0,0 +1,74 @@
# - Spin Valve library --------------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
root_generate_dictionary(
PSkewedLorentzianDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
PSkewedLorentzian.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/PSkewedLorentzianLinkDef.h
)
root_generate_dictionary(
PStartupHandler_SVDict
-I${CMAKE_CURRENT_SOURCE_DIR}/../include
PStartupHandler_SV.h
LINKDEF ${CMAKE_CURRENT_SOURCE_DIR}/../include/PStartupHandler_SVLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(P_SPIN_VALVE_VERSION "1.0.0")
set(P_SPIN_VALVE_LIBRARY_NAME "PSpinValve")
configure_file("PSpinValve.pc.in" "PSpinValve.pc" @ONLY)
#--- lib creation -------------------------------------------------------------
add_library(PSpinValve SHARED
PSkewedLorentzian.cpp
PSkewedLorentzianDict.cxx
PStartupHandler_SV.cpp
PStartupHandler_SVDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
PSpinValve BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../include>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(PSpinValve ${FFTW3_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase)
#--- install PSpinValve solib -------------------------------------------------
install(TARGETS PSpinValve DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libPSkewedLorentzianDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPSkewedLorentzianDict.rootmap
${CMAKE_CURRENT_BINARY_DIR}/libPStartupHandler_SVDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libPStartupHandler_SVDict.rootmap
DESTINATION lib
)
#--- install PSpinValve header ------------------------------------------------
install(
FILES
${CMAKE_CURRENT_SOURCE_DIR}/../include/PSkewedLorentzian.h
${CMAKE_CURRENT_SOURCE_DIR}/../include/PStartupHandler_SV.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/PSpinValve.pc
DESTINATION lib/pkgconfig
)

View File

@ -0,0 +1,10 @@
prefix=@prefix@
exec_prefix=@exec_prefix@
libdir=@libdir@
includedir=@includedir@
Name: PSpinValve
Description: C++ shared library providing the spin valve fitter class
Version: @P_SPIN_VALVE_VERSION@
Libs: -L${libdir} -l@P_SPIN_VALVE_LIBRARY_NAME@
Cflags: -I${includedir}

View File

@ -0,0 +1,69 @@
# - libZFRelaxation library ---------------------------------------------------
#--- generate necessary dictionaries ------------------------------------------
set(MUSRFIT_INC ${CMAKE_SOURCE_DIR}/src/include)
set(BMW_TOOLS_INC ${CMAKE_SOURCE_DIR}/src/external/BMWtools)
root_generate_dictionary(
ZFRelaxationDict
-I${FFTW3_INCLUDE_DIR}
-I${MUSRFIT_INC}
-I${BMW_TOOLS_INC}
ZFRelaxation.h
LINKDEF ZFRelaxationLinkDef.h
)
#--- create pkg-config info ---------------------------------------------------
#[==[ //as35 for now do not create a pkgconfig file
set(prefix "${CMAKE_INSTALL_PREFIX}")
set(exec_prefix "\$\{prefix\}")
set(libdir "\$\{exec_prefix\}/lib")
set(includedir "\$\{prefix\}/include")
set(ZF_RELAXATION_VERSION "1.0.0")
set(ZF_RELAXATION_LIBRARY_NAME "ZFRelaxation")
configure_file("ZFRelaxation.pc.in" "ZFRelaxation.pc" @ONLY)
#]==]
#--- lib creation -------------------------------------------------------------
add_library(ZFRelaxation SHARED
ZFRelaxation.cpp
ZFRelaxationDict.cxx
)
#--- make sure that the include directory is found ----------------------------
target_include_directories(
ZFRelaxation BEFORE PRIVATE
$<BUILD_INTERFACE:${FFTW3_INCLUDE_DIR}>
$<BUILD_INTERFACE:${MUSRFIT_INC}>
$<BUILD_INTERFACE:${BMW_TOOLS_INC}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
#--- add library dependencies -------------------------------------------------
target_link_libraries(ZFRelaxation ${FFTW3_LIBRARY} ${ROOT_LIBRARIES} PUserFcnBase BMWtools)
#--- install ZFRelaxation solib -----------------------------------------------
install(TARGETS ZFRelaxation DESTINATION lib)
#--- install root pcm's and rootmaps ------------------------------------------
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/libZFRelaxationDict_rdict.pcm
${CMAKE_CURRENT_BINARY_DIR}/libZFRelaxationDict.rootmap
DESTINATION lib
)
#--- install ZFRelaxation header ----------------------------------------------
install(
FILES
ZFRelaxation.h
DESTINATION
include
)
#--- install pkg-config info --------------------------------------------------
#[==[ //as35 for now do not install a pkgconfig file
install(
FILES ${CMAKE_CURRENT_BINARY_DIR}/ZFRelaxation.pc
DESTINATION lib/pkgconfig
)
#]==]

141
src/musredit/CMakeLists.txt Normal file
View File

@ -0,0 +1,141 @@
#--- musredit for Qt > 4.6 and < 5.0 ------------------------------------------
#--- create musrfit-info.h ----------------------------------------------------
configure_file(
${CMAKE_SOURCE_DIR}/cmake/musrfit-info.h.in
${CMAKE_CURRENT_BINARY_DIR}/musrfit-info.h
)
#--- sources, headers, ... ----------------------------------------------------
set(musredit_src
main.cpp
PAdmin.cpp
PDumpOutputHandler.cpp
PFindDialog.cpp
PFitOutputHandler.cpp
PGetAsymmetryRunBlockDialog.cpp
PGetDefaultDialog.cpp
PGetFourierBlockDialog.cpp
PGetFunctionsBlockDialog.cpp
PGetMusrFTOptionsDialog.cpp
PGetNonMusrRunBlockDialog.cpp
PGetParameterBlockDialog.cpp
PGetPlotBlockDialog.cpp
PGetSingleHistoRunBlockDialog.cpp
PGetTheoryBlockDialog.cpp
PGetTitleBlockDialog.cpp
PHelp.cpp
PMsr2DataDialog.cpp
PMusrEditAbout.cpp
PPrefsDialog.cpp
PReplaceConfirmationDialog.cpp
PReplaceDialog.cpp
PSubTextEdit.cpp
PTextEdit.cpp
)
set(musredit_h
musredit.h
PAdmin.h
PDumpOutputHandler.h
PFindDialog.h
PFitOutputHandler.h
PGetAsymmetryRunBlockDialog.h
PGetDefaultDialog.h
PGetFourierBlockDialog.h
PGetFunctionsBlockDialog.h
PGetMusrFTOptionsDialog.h
PGetNonMusrRunBlockDialog.h
PGetParameterBlockDialog.h
PGetPlotBlockDialog.h
PGetSingleHistoRunBlockDialog.h
PGetTheoryBlockDialog.h
PGetTitleBlockDialog.h
PHelp.h
PMsr2DataDialog.h
PMusrEditAbout.h
PPrefsDialog.h
PReplaceConfirmationDialog.h
PReplaceDialog.h
PSubTextEdit.h
PTextEdit.h
)
set(musredit_ui
forms/PFindDialog.ui
forms/PGetAsymmetryRunBlockDialog.ui
forms/PGetDefaultDialog.ui
forms/PGetFourierBlockDialog.ui
forms/PGetFunctionsBlockDialog.ui
forms/PGetMusrFTOptionsDialog.ui
forms/PGetNonMusrRunBlockDialog.ui
forms/PGetParameterBlockDialog.ui
forms/PGetPlotBlockDialog.ui
forms/PGetSingleHistoRunBlockDialog.ui
forms/PGetTheoryBlockDialog.ui
forms/PGetTitleBlockDialog.ui
forms/PMsr2DataDialog.ui
forms/PMusrEditAbout.ui
forms/PPrefsDialog.ui
forms/PReplaceConfirmationDialog.ui
forms/PReplaceDialog.ui
)
set(musredit_rcc
musredit.qrc
)
# Next, using precompiler, compiler and linker
include(${QT_USE_FILE})
# using Qt meta-system (precompiler)
QT4_ADD_RESOURCES(RESOURCES ${musredit_rcc})
QT4_WRAP_UI( UI_HEADERS ${musredit_ui})
QT4_WRAP_CPP( MOC_SRCS ${musredit_h})
# define target
add_executable(musredit ${musredit_src} ${MOC_SRCS} ${RESOURCES} ${UI_HEADERS})
target_include_directories(musredit
BEFORE PRIVATE
$<BUILD_INTERFACE:${QT_INCLUDES}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/../..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../../include>
)
target_compile_definitions(musredit
PRIVATE
${QT_DEFINITIONS}
)
target_link_libraries(musredit
Qt4::QtCore
Qt4::QtGui
Qt4::QtNetwork
Qt4::QtWebKit
Qt4::QtXml
)
#--- installation info --------------------------------------------------------
install(
TARGETS
musredit
RUNTIME DESTINATION
bin
)
#--- documentation installation info ------------------------------------------
install(
DIRECTORY
${CMAKE_SOURCE_DIR}/doc/examples
${CMAKE_SOURCE_DIR}/doc/html
${CMAKE_SOURCE_DIR}/doc/memos
DESTINATION
${CMAKE_INSTALL_PREFIX}/share/doc/musrfit
MESSAGE_NEVER
)

View File

@ -20,7 +20,7 @@
<iconset resource="../musredit.qrc">
<normaloff>:/images/musrfit.xpm</normaloff>:/images/musrfit.xpm</iconset>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget0">
<property name="geometry">
<rect>
<x>10</x>
@ -66,7 +66,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget1">
<property name="geometry">
<rect>
<x>12</x>
@ -124,7 +124,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget2">
<property name="geometry">
<rect>
<x>99</x>

View File

@ -34,7 +34,7 @@
<property name="title">
<string> Fourier </string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget0">
<property name="geometry">
<rect>
<x>21</x>
@ -337,7 +337,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string> Histo Info </string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget1">
<property name="geometry">
<rect>
<x>20</x>
@ -605,7 +605,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>File Selection</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget2">
<property name="geometry">
<rect>
<x>19</x>
@ -711,7 +711,7 @@ p, li { white-space: pre-wrap; }
</layout>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget3">
<property name="geometry">
<rect>
<x>20</x>

View File

@ -32,7 +32,7 @@
<property name="title">
<string>Run Header Info</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget0">
<property name="geometry">
<rect>
<x>10</x>
@ -54,7 +54,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget1">
<property name="geometry">
<rect>
<x>11</x>
@ -105,7 +105,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget2">
<property name="geometry">
<rect>
<x>10</x>
@ -211,7 +211,7 @@
<property name="title">
<string>Required Entries</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget3">
<property name="geometry">
<rect>
<x>10</x>
@ -237,7 +237,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget4">
<property name="geometry">
<rect>
<x>11</x>
@ -275,7 +275,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget5">
<property name="geometry">
<rect>
<x>10</x>
@ -345,7 +345,7 @@
</layout>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget6">
<property name="geometry">
<rect>
<x>10</x>

View File

@ -44,7 +44,7 @@
<property name="checkable">
<bool>false</bool>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget0">
<property name="geometry">
<rect>
<x>11</x>
@ -160,7 +160,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>msr File Extension</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget1">
<property name="geometry">
<rect>
<x>10</x>
@ -228,7 +228,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>Template Run Input</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget2">
<property name="geometry">
<rect>
<x>10</x>
@ -295,7 +295,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>Data Output File Name</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget3">
<property name="geometry">
<rect>
<x>10</x>
@ -350,7 +350,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>Options</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget4">
<property name="geometry">
<rect>
<x>6</x>
@ -550,7 +550,7 @@ p, li { white-space: pre-wrap; }
</property>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget5">
<property name="geometry">
<rect>
<x>5</x>

View File

@ -20,7 +20,7 @@
<iconset resource="../musredit.qrc">
<normaloff>:/images/musrfit.xpm</normaloff>:/images/musrfit.xpm</iconset>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget0">
<property name="geometry">
<rect>
<x>0</x>
@ -39,7 +39,7 @@
<attribute name="title">
<string>general</string>
</attribute>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget1">
<property name="geometry">
<rect>
<x>10</x>

View File

@ -0,0 +1,11 @@
#--- musredit_qt5 for Qt > 5.0 ------------------------------------------------
#--- create musrfit-info.h ----------------------------------------------------
configure_file(
${CMAKE_SOURCE_DIR}/cmake/musrfit-info.h.in
${CMAKE_CURRENT_BINARY_DIR}/musrfit-info.h
)
add_subdirectory(musredit)
add_subdirectory(musrStep)
add_subdirectory(musrWiz)

View File

@ -0,0 +1,47 @@
#--- musrStep for Qt > 5.0 ----------------------------------------------------
set(qt_libs Qt5::Core Qt5::Widgets Qt5::Svg)
set(musrStep_src
PMusrStep.cpp
musrStep.cpp
)
# Instruct CMake to run moc automatically when needed
set(CMAKE_AUTOMOC ON)
#[==[
# as35 currently CMAKE_AUTOUIC -> ON doesn't work since it requires the ui-files
# in the same directory as the cpp-files.
# Create code from a list of Qt designer ui files
set(CMAKE_AUTOUIC ON)
#]==]
set(CMAKE_AUTOUIC OFF)
# add qt/rcc
qt5_add_resources(musrStep_rcc musrStep.qrc)
add_executable(musrStep
${musrStep_src}
${musrStep_rcc}
)
target_include_directories(musrStep
BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/../..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../../include>
)
target_link_libraries(musrStep ${qt_libs})
#--- installation info --------------------------------------------------------
install(
TARGETS
musrStep
RUNTIME DESTINATION
bin
)

View File

@ -0,0 +1,51 @@
#--- musrWiz for Qt > 5.0 -----------------------------------------------------
set(qt_libs Qt5::Core Qt5::Widgets Qt5::Svg Qt5::Xml)
set(musrWiz_src
PTheoTemplate.cpp
PMusrfitFunc.cpp
PInstrumentDef.cpp
PAdmin.cpp
PMusrWiz.cpp
musrWiz.cpp
)
# Instruct CMake to run moc automatically when needed
set(CMAKE_AUTOMOC ON)
#[==[
# as35 currently CMAKE_AUTOUIC -> ON doesn't work since it requires the ui-files
# in the same directory as the cpp-files.
# Create code from a list of Qt designer ui files
set(CMAKE_AUTOUIC ON)
#]==]
set(CMAKE_AUTOUIC OFF)
# add qt/rcc
qt5_add_resources(musrWiz_rcc musrWiz.qrc)
add_executable(musrWiz
${musrWiz_src}
${musrWiz_rcc}
)
target_include_directories(musrWiz
BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/../..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../../include>
)
target_link_libraries(musrWiz ${qt_libs})
#--- installation info --------------------------------------------------------
install(
TARGETS
musrWiz
RUNTIME DESTINATION
bin
)

View File

@ -0,0 +1,151 @@
#--- musredit for Qt > 5.0 ----------------------------------------------------
#--- check if Qt5WebEngine or Qt5WebKit is present ----------------------------
find_package(Qt5WebEngine QUIET)
find_package(Qt5WebKit QUIET)
set(qt_libs Qt5::Core Qt5::Widgets Qt5::Network Qt5::Xml Qt5::Svg Qt5::PrintSupport)
if (Qt5WebEngine_FOUND)
message("debug> Qt5WebEngine is present.")
find_package(Qt5WebEngineWidgets QUIET CONFIG REQUIRED)
set(qt_libs ${qt_libs} Qt5::WebEngine Qt5::WebEngineWidgets)
elseif (Qt5WebKit_FOUND)
message("debug> Qt5WebKit is present.")
find_package(Qt5WebKitWidgets QUIET CONFIG REQUIRED)
set(qt_libs ${qt_libs} Qt5::WebKit Qt5::WebKitWidgets)
else (Qt5WebEngine_FOUND)
message("debug> Neither Qt5WebEngine nor Qt5WebKit found.")
endif (Qt5WebEngine_FOUND)
set(musredit_src
PHelp.cpp
PTextEdit.cpp
PSubTextEdit.cpp
PAdmin.cpp
PFindDialog.cpp
PReplaceDialog.cpp
PReplaceConfirmationDialog.cpp
PFitOutputHandler.cpp
PDumpOutputHandler.cpp
PPrefsDialog.cpp
PGetMusrFTOptionsDialog.cpp
PGetTitleBlockDialog.cpp
PGetParameterBlockDialog.cpp
PGetTheoryBlockDialog.cpp
PGetFunctionsBlockDialog.cpp
PGetAsymmetryRunBlockDialog.cpp
PGetSingleHistoRunBlockDialog.cpp
PGetNonMusrRunBlockDialog.cpp
PGetFourierBlockDialog.cpp
PGetPlotBlockDialog.cpp
PMsr2DataDialog.cpp
PChangeDefaultPathsDialog.cpp
PMusrEditAbout.cpp
main.cpp
)
set(musredit_ui
forms/PFindDialog.ui
forms/PReplaceDialog.ui
forms/PReplaceConfirmationDialog.ui
forms/PMusrEditAbout.ui
forms/PPrefsDialog.ui
forms/PGetMusrFTOptionsDialog.ui
forms/PGetTitleBlockDialog.ui
forms/PGetParameterBlockDialog.ui
forms/PGetTheoryBlockDialog.ui
forms/PGetFunctionsBlockDialog.ui
forms/PGetAsymmetryRunBlockDialog.ui
forms/PGetSingleHistoRunBlockDialog.ui
forms/PGetNonMusrRunBlockDialog.ui
forms/PGetFourierBlockDialog.ui
forms/PGetPlotBlockDialog.ui
forms/PMsr2DataDialog.ui
forms/PChangeDefaultPathsDialog.ui
)
# Instruct CMake to run moc automatically when needed
set(CMAKE_AUTOMOC ON)
#[==[
# as35 currently CMAKE_AUTOUIC -> ON doesn't work since it requires the ui-files
# in the same directory as the cpp-files.
# Create code from a list of Qt designer ui files
set(CMAKE_AUTOUIC ON)
#]==]
set(CMAKE_AUTOUIC OFF)
# call qt/uic
qt5_wrap_ui(out_ui ${musredit_ui})
# add qt/rcc
qt5_add_resources(musredit_rcc musredit.qrc)
set(macosx_icon icons/musredit.icns)
if (APPLE)
add_executable(musredit MACOSX_BUNDLE
${musredit_src}
${out_ui}
${musredit_rcc}
${macosx_icon}
)
else (APPLE)
add_executable(musredit
${musredit_src}
${out_ui}
${musredit_rcc}
)
endif (APPLE)
if (Qt5WebEngine_FOUND)
target_compile_options(musredit
BEFORE PRIVATE
-DHAVE_QT_WEB_ENGINE
)
endif (Qt5WebEngine_FOUND)
target_include_directories(musredit
BEFORE PRIVATE
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_BINARY_DIR}/../..>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/../../include>
)
target_link_libraries(musredit ${qt_libs})
#--- installation info --------------------------------------------------------
if (APPLE)
set_target_properties(musredit PROPERTIES
MACOSX_BUNDLE TRUE
MACOSX_BUNDLE_BUNDLE_NAME "musredit"
MACOSX_BUNDLE_INFO_STRING "musredit simplifies the handling of the msr-files for uSR fitting."
MACOSX_BUNDLE_ICON_FILE "musredit.icns"
MACOSX_BUNDLE_LONG_VERSION_STRING "${PROJECT_VERSION}"
MACOSX_FRAMEWORK_IDENTIFIER ch.psi.musredit
MACOSX_BUNDLE_COPYRIGHT "Andreas Suter"
RESOURCE ${macosx_icon}
)
endif (APPLE)
if (APPLE)
install( TARGETS musredit
BUNDLE DESTINATION /Applications
)
else (APPLE)
install( TARGETS musredit
RUNTIME DESTINATION bin
)
endif (APPLE)
#--- documentation installation info ------------------------------------------
install(
DIRECTORY
${CMAKE_SOURCE_DIR}/doc/examples
${CMAKE_SOURCE_DIR}/doc/html
${CMAKE_SOURCE_DIR}/doc/memos
DESTINATION
${CMAKE_INSTALL_PREFIX}/share/doc/musrfit
MESSAGE_NEVER
)

View File

@ -103,7 +103,7 @@ PDumpOutputHandler::~PDumpOutputHandler()
fProc->waitForFinished();
}
if (fProc->state() == QProcess::Running) {
QString cmd = "kill -9 "+ fProcPID;
QString cmd = "kill -9 "+ QString("%1").arg(fProcPID);
QString msg = "fProc still running even after Qt kill, will try system kill cmd: "+cmd;
qDebug() << msg << endl;
system(cmd.toLatin1());

View File

@ -64,7 +64,7 @@ PFitOutputHandler::PFitOutputHandler(QString workingDirectory, QVector<QString>
// make sure that the system environment variables are properly set
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
fProc->setProcessEnvironment(env);
fProc->setWorkingDirectory(workingDirectory);
@ -106,7 +106,7 @@ PFitOutputHandler::~PFitOutputHandler()
fProc->waitForFinished();
}
if (fProc->state() == QProcess::Running) {
QString cmd = "kill -9 "+ fProcPID;
QString cmd = "kill -9 "+ QString("%1").arg(fProcPID);
QString msg = "fProc still running even after Qt kill, will try system kill cmd: "+cmd;
qDebug() << msg << endl;
system(cmd.toLatin1());

View File

@ -76,7 +76,7 @@ void PGetFourierBlockDialog::checkPhaseParameter()
ival = str.toInt(&ok);
if (!ok) { // i.e. the phase entry is not a number. Check for parXX
str.trimmed();
str = str.trimmed();
if (str.startsWith("par")) { //
str.remove("par");
ival = str.toInt(&ok);

View File

@ -1848,7 +1848,7 @@ void PTextEdit::musrWiz()
// make sure that the system environment variables are properly set
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
proc->setProcessEnvironment(env);
proc->setWorkingDirectory(workDir);
proc->start(cmd, arg);
@ -2262,7 +2262,7 @@ void PTextEdit::musrMsr2Data()
stream = new QTextStream(file);
while ( !stream->atEnd() ) {
str = stream->readLine(); // line of text excluding '\n'
str.trimmed();
str = str.trimmed();
if (!str.isEmpty() && !str.startsWith("#") && !str.startsWith("run", Qt::CaseInsensitive)) {
fln = str.section(' ', 0, 0, QString::SectionSkipEmpty);
if (fMsr2DataParam->msrFileExtension.isEmpty())
@ -2305,7 +2305,7 @@ void PTextEdit::musrMsr2Data()
stream = new QTextStream(file);
while ( !stream->atEnd() ) {
str = stream->readLine(); // line of text excluding '\n'
str.trimmed();
str = str.trimmed();
if (!str.isEmpty() && !str.startsWith("#") && !str.startsWith("run", Qt::CaseInsensitive)) {
fln = str.section(' ', 0, 0, QString::SectionSkipEmpty);
break;
@ -2382,7 +2382,7 @@ void PTextEdit::musrView()
// make sure that the system environment variables are properly set
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
proc->setProcessEnvironment(env);
proc->setWorkingDirectory(workDir);
proc->start(cmd, arg);
@ -2436,7 +2436,7 @@ void PTextEdit::musrT0()
// make sure that the system environment variables are properly set
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
proc->setProcessEnvironment(env);
proc->setWorkingDirectory(workDir);
proc->start(cmd, arg);
@ -2473,7 +2473,7 @@ void PTextEdit::musrFT()
proc->setStandardErrorFile("musrFT.log");
QString cmd = fAdmin->getExecPath() + "/musrFT";
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
proc->setProcessEnvironment(env);
proc->start(cmd, fMusrFTPrevCmd);
if (!proc->waitForStarted()) {
@ -2575,7 +2575,7 @@ void PTextEdit::musrSetSteps()
// make sure that the system environment variables are properly set
QProcessEnvironment env = QProcessEnvironment::systemEnvironment();
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("DKS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
env.insert("LD_LIBRARY_PATH", env.value("ROOTSYS") + "/lib:" + env.value("LD_LIBRARY_PATH"));
proc->setProcessEnvironment(env);
proc->setWorkingDirectory(workDir);
proc->start(cmd, arg);
@ -3041,10 +3041,15 @@ void PTextEdit::getTheme()
QString str = QIcon::themeName();
qDebug() << "debug> str=" << str << endl;
if (str.contains("dark", Qt::CaseInsensitive)) {
fDarkTheme = true;
if (str.contains("ubuntu", Qt::CaseInsensitive)) {
fDarkToolBarIcon = false;
} else if (str.contains("xfce", Qt::CaseInsensitive)) {
fDarkTheme = false;
fDarkToolBarIcon = false;
} else {
fDarkToolBarIcon = true;
}

View File

@ -332,7 +332,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string> Histo Info </string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_0">
<property name="geometry">
<rect>
<x>20</x>
@ -600,7 +600,7 @@ p, li { white-space: pre-wrap; }
<property name="title">
<string>File Selection</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_1">
<property name="geometry">
<rect>
<x>19</x>
@ -706,7 +706,7 @@ p, li { white-space: pre-wrap; }
</layout>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_3">
<property name="geometry">
<rect>
<x>20</x>

View File

@ -32,7 +32,7 @@
<property name="title">
<string>Run Header Info</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_0">
<property name="geometry">
<rect>
<x>10</x>
@ -54,7 +54,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_1">
<property name="geometry">
<rect>
<x>11</x>
@ -105,7 +105,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_2">
<property name="geometry">
<rect>
<x>10</x>
@ -211,7 +211,7 @@
<property name="title">
<string>Required Entries</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_3">
<property name="geometry">
<rect>
<x>10</x>
@ -237,7 +237,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_4">
<property name="geometry">
<rect>
<x>11</x>
@ -275,7 +275,7 @@
</item>
</layout>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_5">
<property name="geometry">
<rect>
<x>10</x>
@ -345,7 +345,7 @@
</layout>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_6">
<property name="geometry">
<rect>
<x>10</x>

View File

@ -44,7 +44,7 @@
<property name="checkable">
<bool>false</bool>
</property>
<widget class="QWidget" name="">
<widget class="QWidget" name="layoutWidget_0">
<property name="geometry">
<rect>
<x>10</x>
@ -147,7 +147,7 @@
<property name="title">
<string>msr File Extension</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_1">
<property name="geometry">
<rect>
<x>10</x>
@ -215,7 +215,7 @@
<property name="title">
<string>Template Run Input</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_2">
<property name="geometry">
<rect>
<x>10</x>
@ -277,7 +277,7 @@
<property name="title">
<string>Parameter Output File Name</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_3">
<property name="geometry">
<rect>
<x>10</x>
@ -332,7 +332,7 @@
<property name="title">
<string>Options</string>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_4">
<property name="geometry">
<rect>
<x>6</x>
@ -514,7 +514,7 @@
</property>
</widget>
</widget>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_5">
<property name="geometry">
<rect>
<x>5</x>

View File

@ -20,7 +20,7 @@
<iconset>
<normaloff>:/images/musrfit.xpm</normaloff>:/images/musrfit.xpm</iconset>
</property>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_0">
<property name="geometry">
<rect>
<x>0</x>
@ -39,7 +39,7 @@
<attribute name="title">
<string>general</string>
</attribute>
<widget class="QWidget" name="layoutWidget">
<widget class="QWidget" name="layoutWidget_1">
<property name="geometry">
<rect>
<x>10</x>

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