organ synti update

14 files changed, 2038 insertions, 1343 deletions

diff --git a/muse/ChangeLog b/muse/ChangeLog
index 903d45cf..5cb159ed 100644
--- a/muse/ChangeLog
+++ b/muse/ChangeLog
@@ -1,3 +1,5 @@
+17.6. (ws)
+      - organ synthesizer plugin update
 9.6. (ws)
       - added new Drawbar() widget to awl lib
       - install libawlplugin.so into qt designer plugin library
diff --git a/muse/all.h b/muse/all.h
index f93135c4..3ec26518 100644
--- a/muse/all.h
+++ b/muse/all.h
@@ -50,6 +50,8 @@
 #include <QtCore/QTranslator>
 #include <QtCore/qatomic.h>
 #include <QtCore/QTemporaryFile>
+#include <QtCore/QQueue>
+#include <QtCore/QSettings>
 
 #include <QtDesigner/QDesignerCustomWidgetInterface>
 #include <QtDesigner/QDesignerFormEditorInterface>
diff --git a/muse/awl/drawbar.cpp b/muse/awl/drawbar.cpp
index 5db3ea60..bc58e4c3 100644
--- a/muse/awl/drawbar.cpp
+++ b/muse/awl/drawbar.cpp
@@ -37,7 +37,7 @@ Drawbar::Drawbar(QWidget* parent)
       setOrientation(Qt::Vertical);
       setInvertedAppearance(true);
       setRange(0.0, 8.0);
-      setLineStep(1.0);
+      setLineStep(0.3);
       }
 
 Drawbar::~Drawbar()
diff --git a/muse/synti/CMakeLists.txt b/muse/synti/CMakeLists.txt
index 30a27361..7e5274ac 100644
--- a/muse/synti/CMakeLists.txt
+++ b/muse/synti/CMakeLists.txt
@@ -19,9 +19,9 @@
 #=============================================================================
 
 include_directories(
-   . 
+   .
    ${CMAKE_CURRENT_BINARY}
-   ${PROJECT_SOURCE_DIR} 
+   ${PROJECT_SOURCE_DIR}
    ${PROJECT_SOURCE_DIR}/muse
    ${PROJECT_SOURCE_DIR}/muse/widgets
    ${PROJECT_SOURCE_DIR}/synti
@@ -32,7 +32,7 @@ set (SubDirs libsynti s1 organ deicsonze simpledrums vam mus)
 if (ENABLE_ZYNADDSUBFX)
       set (SubDirs ${SubDirs} zynaddsubfx)
 endif (ENABLE_ZYNADDSUBFX)
-      
+
 if (ENABLE_FLUID)
       set (SubDirs ${SubDirs} fluid fluidsynth )
 endif (ENABLE_FLUID)
diff --git a/muse/synti/libsynti/CMakeLists.txt b/muse/synti/libsynti/CMakeLists.txt
index 70dc7dc3..e3aeb72d 100644
--- a/muse/synti/libsynti/CMakeLists.txt
+++ b/muse/synti/libsynti/CMakeLists.txt
@@ -18,7 +18,14 @@
 #  Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 #=============================================================================
 
-add_library(synti mess.cpp gui.cpp mono.cpp poly.cpp midievent.cpp)
+add_library(synti
+      mess.cpp
+      mess2.cpp
+      gui.cpp
+      mono.cpp
+      poly.cpp
+      midievent.cpp
+      )
 
 #
 # -fPIC is necessary for 64 bit systems
diff --git a/muse/synti/libsynti/mess2.cpp b/muse/synti/libsynti/mess2.cpp
new file mode 100644
index 00000000..5e5599e1
--- /dev/null
+++ b/muse/synti/libsynti/mess2.cpp
@@ -0,0 +1,129 @@
+//=========================================================
+//  MusE
+//  Linux Music Editor
+//    $Id:$
+//  (C) Copyright 2007 Werner Schweer (ws@seh.de)
+//=========================================================
+
+#include "mess2.h"
+
+QList<SynthCtrl*> Mess2::ctrl;
+
+//---------------------------------------------------------
+//   Mess2
+//---------------------------------------------------------
+
+Mess2::Mess2(int channels)
+   : Mess(channels)
+      {
+      initData = 0;
+      }
+
+//---------------------------------------------------------
+//   Mess2
+//---------------------------------------------------------
+
+Mess2::~Mess2()
+      {
+      if (initData)
+            delete[] initData;
+      }
+
+//---------------------------------------------------------
+//   addController
+//---------------------------------------------------------
+
+void Mess2::addController(const char* name, int id, int min, int max, int init)
+      {
+      SynthCtrl* c = new SynthCtrl(name, id, min, max, init);
+      ctrl.append(c);
+      }
+
+//---------------------------------------------------------
+//   controllerIdx
+//---------------------------------------------------------
+
+int Mess2::controllerIdx(const char* name)
+      {
+      for (int i = 0; i < ctrl.size(); ++i) {
+            if (strcmp(ctrl[i]->name, name) == 0)
+                  return i;
+            }
+      return -1;
+      }
+
+//---------------------------------------------------------
+//   controllerIdx
+//---------------------------------------------------------
+
+int Mess2::controllerIdx(int ctrlId)
+      {
+      for (int i = 0; i < ctrl.size(); ++i) {
+            if (ctrl[i]->ctrl == ctrlId)
+                  return i;
+            }
+      return -1;
+      }
+
+//---------------------------------------------------------
+//   controllerId
+//---------------------------------------------------------
+
+int Mess2::controllerId(int idx)
+      {
+      if (idx < 0 || idx >= ctrl.size()) {
+            printf("controllId::illegal controller index %d\n", idx);
+            return -1;
+            }
+      return ctrl[idx]->ctrl;
+      }
+
+//---------------------------------------------------------
+//   controllerName
+//---------------------------------------------------------
+
+const char* Mess2::controllerName(int idx)
+      {
+      if (idx < 0 || idx >= ctrl.size()) {
+            printf("controllerName::illegal controller index %d\n", idx);
+            return "?";
+            }
+      return ctrl[idx]->name;
+      }
+
+//---------------------------------------------------------
+//   getInitData
+//---------------------------------------------------------
+
+void Mess2::getInitData(int* bytes, const unsigned char** data)
+      {
+      if (initData)
+            delete[] initData;
+      int n    = ctrl.size() * sizeof(int);
+      initData = new unsigned char[n];
+      int* p = (int*)initData;
+      foreach(SynthCtrl* c, ctrl) {
+            *p++ = c->val;
+            }
+      *data  = initData;
+      *bytes = n;
+      }
+
+//---------------------------------------------------------
+//   getControllerInfo
+//---------------------------------------------------------
+
+int Mess2::getControllerInfo(int idx, const char** name, int* id, int* min, int* max)
+      {
+      if (idx < 0 || idx >= ctrl.size())
+            return 0;
+      *name = ctrl[idx]->name;
+      *id   = ctrl[idx]->ctrl;
+      *min  = ctrl[idx]->min;
+      *max  = ctrl[idx]->max;
+      ++idx;
+      return (idx > ctrl.size()) ? 0 : idx;
+            return 0;
+      }
+
+
diff --git a/muse/synti/libsynti/mess2.h b/muse/synti/libsynti/mess2.h
new file mode 100644
index 00000000..207eb6c3
--- /dev/null
+++ b/muse/synti/libsynti/mess2.h
@@ -0,0 +1,57 @@
+//=========================================================
+//  MusE
+//  Linux Music Editor
+//    $Id:$
+//  (C) Copyright 2007 Werner Schweer (ws@seh.de)
+//=========================================================
+
+#ifndef __MESS2_H__
+#define __MESS2_H__
+
+#include "mess.h"
+
+//---------------------------------------------------------
+//   SynthCtlr
+//---------------------------------------------------------
+
+struct SynthCtrl {
+      const char* name;
+      int ctrl;
+      int min;
+      int max;
+      int init;
+      int val;
+      SynthCtrl(const char* n, int i, int a, int b, int c)
+         : name(n), ctrl(i), min(a), max(b), init(c)
+            {}
+      };
+
+//---------------------------------------------------------
+//  Mess2
+//    MusE experimental software synth
+//    extended interface
+//---------------------------------------------------------
+
+class Mess2 : public Mess {
+      unsigned char* initData;
+
+      void getInitData(int*, const unsigned char**);
+      int getControllerInfo(int, const char**, int*, int*, int*);
+
+   protected:
+      static QList<SynthCtrl*> ctrl;
+
+      static void addController(const char* name,
+         int ctrl, int min = 0, int max = 16384, int init = 0);
+      static int controllerIdx(const char* name);
+      static int controllerId(int idx);
+      static int controllerIdx(int id);
+      static const char* controllerName(int idx);
+
+   public:
+      Mess2(int channels);
+      virtual ~Mess2();
+      };
+
+#endif
+
diff --git a/muse/synti/organ/CMakeLists.txt b/muse/synti/organ/CMakeLists.txt
index 2c23daea..2dd6aa3f 100644
--- a/muse/synti/organ/CMakeLists.txt
+++ b/muse/synti/organ/CMakeLists.txt
@@ -21,26 +21,26 @@
 QT4_WRAP_CPP ( organ_mocs organgui.h )
 QT4_WRAP_UI (  organ_uis organgui.ui )
 
-add_library ( organ SHARED 
-      organ.cpp 
+add_library ( organ SHARED
+      organ.cpp
       organgui.cpp
       organgui.h
       ${organ_mocs}
       ${organ_uis}
       )
 
-# - tell cmake to name target organ.so instead of 
+# - tell cmake to name target organ.so instead of
 #   liborgan.so
 # - use precompiled header files
 #
-set_target_properties ( organ 
+set_target_properties ( organ
    PROPERTIES PREFIX ""
-   COMPILE_FLAGS "-include ${PROJECT_BINARY_DIR}/all-pic.h"
+   COMPILE_FLAGS "-O6 -include ${PROJECT_BINARY_DIR}/all-pic.h"
    )
 
 target_link_libraries(organ
-      widgets 
       synti
+      awl
       ${QT_LIBRARIES}
       )
 
diff --git a/muse/synti/organ/organ.cpp b/muse/synti/organ/organ.cpp
index 4b84fbfb..f8f6057c 100644
--- a/muse/synti/organ/organ.cpp
+++ b/muse/synti/organ/organ.cpp
@@ -16,38 +16,1346 @@
 #include "organ.h"
 #include "organgui.h"
 
-SynthCtrl Organ::synthCtrl[] = {
-      { "harm0",     HARM0,          0 },
-      { "harm1",     HARM1,          0 },
-      { "harm2",     HARM2,          0 },
-      { "harm3",     HARM3,          0 },
-      { "harm4",     HARM4,          0 },
-      { "harm5",     HARM5,          0 },
-      { "attackLo",  ATTACK_LO,     20 },
-      { "decayLo",   DECAY_LO,      20 },
-      { "sustainLo", SUSTAIN_LO,     0 },
-      { "releaseLo", RELEASE_LO,    20 },
-      { "attackHi",  ATTACK_HI,     10 },
-      { "decayHi",   DECAY_HI,      10 },
-      { "sustainHi", SUSTAIN_HI,     0 },
-      { "releaseHi", RELEASE_HI,    10 },
-      { "brass",     BRASS,          1 },
-      { "flute",     FLUTE,          1 },
-      { "reed",      REED,           1 },
-      { "velocity",  VELO,           0 },
-      // next controller not send as init data
-      { "volume",    CTRL_VOLUME,  100 },
-      };
-
-static int NUM_CONTROLLER = sizeof(Organ::synthCtrl)/sizeof(*(Organ::synthCtrl));
-static int NUM_INIT_CONTROLLER = NUM_CONTROLLER - 1;
-
-float* Organ::sine_table;
-float* Organ::g_triangle_table;
-float* Organ::g_pulse_table;
+int Organ::resolution;
+int Organ::resolution256;
+float* Organ::attackEnv;
+float* Organ::releaseEnv;
+int Organ::envSize;
+float* Organ::waveTable;
 int Organ::useCount = 0;
 double Organ::cb2amp_tab[MAX_ATTENUATION];
-unsigned Organ::freq256[128];
+unsigned Organ::freq256[128][NO_BUSES];
+Elem Organ::routing[NO_KEYS][NO_ELEMENTS] = {
+#if 1
+      { Elem(0,0,0.003210), Elem(0,1,0.000105), Elem(0,2,0.004516), Elem(0,3,0.000095), Elem(0,4,0.000080), Elem(0,5,0.000088), Elem(0,6,0.000116), Elem(0,7,0.000213),
+            Elem(0,8,0.020011), Elem(7,0,0.000067), Elem(7,1,0.006683), Elem(7,2,0.000067), Elem(7,3,0.000033), Elem(7,4,0.000022), Elem(7,5,0.000017), Elem(12,0,0.315277),
+            Elem(12,1,0.007553), Elem(12,2,0.443782), Elem(12,3,0.005466), Elem(12,4,0.002994), Elem(12,5,0.002100), Elem(12,6,0.001627), Elem(12,7,0.001332), Elem(12,8,0.001128),
+            Elem(19,0,0.006617), Elem(19,1,0.661660), Elem(19,2,0.006617), Elem(19,3,0.003308), Elem(19,4,0.002206), Elem(19,5,0.001654), Elem(19,6,0.001323), Elem(19,7,0.001103),
+            Elem(19,8,0.000945), Elem(24,0,0.002250), Elem(24,1,0.003364), Elem(24,2,0.006691), Elem(24,3,0.661772), Elem(24,4,0.006840), Elem(24,5,0.025696), Elem(24,6,0.002429),
+            Elem(24,7,0.001766), Elem(24,8,0.001398), Elem(28,0,0.000025), Elem(28,1,0.000030), Elem(28,2,0.000037), Elem(28,3,0.000050), Elem(28,4,0.000075), Elem(28,5,0.000150),
+            Elem(28,6,0.014962), Elem(28,7,0.000150), Elem(28,8,0.000075), Elem(31,0,0.005541), Elem(31,1,0.007388), Elem(31,2,0.011082), Elem(31,3,0.022163), Elem(31,4,2.216334),
+            Elem(31,5,0.022163), Elem(31,6,0.011082), Elem(31,7,0.007388), Elem(31,8,0.005541), Elem(36,0,0.004469), Elem(36,1,0.005591), Elem(36,2,0.007475), Elem(36,3,0.017790),
+            Elem(36,4,0.022264), Elem(36,5,2.216417), Elem(36,6,0.022286), Elem(36,7,0.021098), Elem(36,8,0.007501), Elem(40,0,0.002469), Elem(40,1,0.002963), Elem(40,2,0.003703),
+            Elem(40,3,0.004938), Elem(40,4,0.007406), Elem(40,5,0.014813), Elem(40,6,1.481273), Elem(40,7,0.014813), Elem(40,8,0.007406), Elem(43,0,0.001459), Elem(43,1,0.001706),
+            Elem(43,2,0.002055), Elem(43,3,0.002587), Elem(43,4,0.003524), Elem(43,5,0.027337), Elem(43,6,0.010124), Elem(43,7,0.990112), Elem(43,8,0.009975), Elem(47,0,0.000025),
+            Elem(47,1,0.000030), Elem(47,2,0.000037), Elem(47,3,0.000050), Elem(47,4,0.000075), Elem(47,5,0.000150), Elem(47,6,0.014962), Elem(47,7,0.000150), Elem(47,8,0.000075),
+            Elem(48,0,0.001237), Elem(48,1,0.001414), Elem(48,2,0.001650), Elem(48,3,0.001980), Elem(48,4,0.002475), Elem(48,5,0.003300), Elem(48,6,0.004950), Elem(48,7,0.009900),
+            Elem(48,8,0.990000), Elem(55,1,0.000017), Elem(55,2,0.000020), Elem(55,3,0.000025), Elem(55,4,0.000033), Elem(55,5,0.000050), Elem(55,6,0.000100), Elem(55,7,0.010000),
+            Elem(55,8,0.000100), Elem(60,0,0.006369), Elem(60,1,0.000153), Elem(60,2,0.008965), Elem(60,3,0.000110), Elem(60,4,0.000060), Elem(60,5,0.000042), Elem(60,6,0.000033),
+            Elem(60,7,0.000027), Elem(60,8,0.000023), Elem(67,0,0.000134), Elem(67,1,0.013367), Elem(67,2,0.000134), Elem(67,3,0.000067), Elem(67,4,0.000045), Elem(67,5,0.000033),
+            Elem(67,6,0.000027), Elem(67,7,0.000022), Elem(67,8,0.000019), Elem(72,0,0.000045), Elem(72,1,0.000067), Elem(72,2,0.000134), Elem(72,3,0.013367), Elem(72,4,0.000134),
+            Elem(72,5,0.000067), Elem(72,6,0.000045), Elem(72,7,0.000033), Elem(72,8,0.000027), Elem(79,0,0.000112), Elem(79,1,0.000149), Elem(79,2,0.000224), Elem(79,3,0.000448),
+            Elem(79,4,0.044774), Elem(79,5,0.000448), Elem(79,6,0.000224), Elem(79,7,0.000149), Elem(79,8,0.000112), Elem(86,0,0.000070), Elem(86,1,0.000091), Elem(86,2,0.000132),
+            Elem(86,3,0.000249), Elem(86,4,0.022421), Elem(86,5,0.000274), Elem(86,6,0.000212), Elem(86,7,0.010075), Elem(86,8,0.000156), },
+      { Elem(1,0,0.003210), Elem(1,1,0.000105), Elem(1,2,0.004516), Elem(1,3,0.000095), Elem(1,4,0.000080), Elem(1,5,0.000088), Elem(1,6,0.000116), Elem(1,7,0.000213),
+            Elem(1,8,0.020011), Elem(8,0,0.000067), Elem(8,1,0.006683), Elem(8,2,0.000067), Elem(8,3,0.000033), Elem(8,4,0.000022), Elem(8,5,0.000017), Elem(13,0,0.315277),
+            Elem(13,1,0.007553), Elem(13,2,0.443782), Elem(13,3,0.005466), Elem(13,4,0.002994), Elem(13,5,0.002100), Elem(13,6,0.001627), Elem(13,7,0.001332), Elem(13,8,0.001128),
+            Elem(20,0,0.006617), Elem(20,1,0.661660), Elem(20,2,0.006617), Elem(20,3,0.003308), Elem(20,4,0.002206), Elem(20,5,0.001654), Elem(20,6,0.001323), Elem(20,7,0.001103),
+            Elem(20,8,0.000945), Elem(25,0,0.002206), Elem(25,1,0.003308), Elem(25,2,0.006617), Elem(25,3,0.661660), Elem(25,4,0.006617), Elem(25,5,0.003308), Elem(25,6,0.002206),
+            Elem(25,7,0.001654), Elem(25,8,0.001323), Elem(29,0,0.000025), Elem(29,1,0.000030), Elem(29,2,0.000037), Elem(29,3,0.000050), Elem(29,4,0.000075), Elem(29,5,0.000150),
+            Elem(29,6,0.014962), Elem(29,7,0.000150), Elem(29,8,0.000075), Elem(32,0,0.005541), Elem(32,1,0.007388), Elem(32,2,0.011082), Elem(32,3,0.022163), Elem(32,4,2.216334),
+            Elem(32,5,0.022163), Elem(32,6,0.011082), Elem(32,7,0.007388), Elem(32,8,0.005541), Elem(33,0,0.000037), Elem(33,1,0.000050), Elem(33,2,0.000087), Elem(33,3,0.006708),
+            Elem(33,4,0.000100), Elem(33,5,0.000083), Elem(33,6,0.000122), Elem(33,7,0.010017), Elem(33,8,0.000113), Elem(37,0,0.004433), Elem(37,1,0.005541), Elem(37,2,0.007388),
+            Elem(37,3,0.011082), Elem(37,4,0.022163), Elem(37,5,2.216334), Elem(37,6,0.022163), Elem(37,7,0.011082), Elem(37,8,0.007388), Elem(41,0,0.002469), Elem(41,1,0.002963),
+            Elem(41,2,0.003703), Elem(41,3,0.004938), Elem(41,4,0.007406), Elem(41,5,0.014813), Elem(41,6,1.481273), Elem(41,7,0.014813), Elem(41,8,0.007406), Elem(44,0,0.001414),
+            Elem(44,1,0.001650), Elem(44,2,0.001980), Elem(44,3,0.002475), Elem(44,4,0.003300), Elem(44,5,0.004950), Elem(44,6,0.009900), Elem(44,7,0.990000), Elem(44,8,0.009900),
+            Elem(49,0,0.001237), Elem(49,1,0.001414), Elem(49,2,0.001650), Elem(49,3,0.001980), Elem(49,4,0.002475), Elem(49,5,0.003300), Elem(49,6,0.004950), Elem(49,7,0.009900),
+            Elem(49,8,0.990000), Elem(56,1,0.000017), Elem(56,2,0.000020), Elem(56,3,0.000025), Elem(56,4,0.000033), Elem(56,5,0.000050), Elem(56,6,0.000100), Elem(56,7,0.010000),
+            Elem(56,8,0.000100), Elem(61,0,0.006369), Elem(61,1,0.000153), Elem(61,2,0.008965), Elem(61,3,0.000110), Elem(61,4,0.000060), Elem(61,5,0.000042), Elem(61,6,0.000033),
+            Elem(61,7,0.000027), Elem(61,8,0.000023), Elem(68,0,0.000134), Elem(68,1,0.013367), Elem(68,2,0.000134), Elem(68,3,0.000067), Elem(68,4,0.000045), Elem(68,5,0.000033),
+            Elem(68,6,0.000027), Elem(68,7,0.000022), Elem(68,8,0.000019), Elem(73,0,0.000045), Elem(73,1,0.000067), Elem(73,2,0.000134), Elem(73,3,0.013367), Elem(73,4,0.000134),
+            Elem(73,5,0.000067), Elem(73,6,0.000045), Elem(73,7,0.000033), Elem(73,8,0.000027), Elem(80,0,0.000112), Elem(80,1,0.000149), Elem(80,2,0.000224), Elem(80,3,0.000448),
+            Elem(80,4,0.044774), Elem(80,5,0.000448), Elem(80,6,0.000224), Elem(80,7,0.000149), Elem(80,8,0.000112), Elem(84,0,0.000050), Elem(84,1,0.000060), Elem(84,2,0.000075),
+            Elem(84,3,0.000100), Elem(84,4,0.000150), Elem(84,5,0.000299), Elem(84,6,0.029925), Elem(84,7,0.000299), Elem(84,8,0.000150), Elem(85,2,0.000017), Elem(85,3,0.000020),
+            Elem(85,4,0.000025), Elem(85,5,0.000033), Elem(85,6,0.000050), Elem(85,7,0.000100), Elem(85,8,0.010000), Elem(87,0,0.000070), Elem(87,1,0.000091), Elem(87,2,0.000132),
+            Elem(87,3,0.000249), Elem(87,4,0.022421), Elem(87,5,0.000274), Elem(87,6,0.000212), Elem(87,7,0.010075), Elem(87,8,0.000156), },
+      { Elem(2,0,0.003210), Elem(2,1,0.000105), Elem(2,2,0.004516), Elem(2,3,0.000095), Elem(2,4,0.000080), Elem(2,5,0.000088), Elem(2,6,0.000116), Elem(2,7,0.000213),
+            Elem(2,8,0.020011), Elem(9,0,0.000067), Elem(9,1,0.006683), Elem(9,2,0.000067), Elem(9,3,0.000033), Elem(9,4,0.000022), Elem(9,5,0.000017), Elem(14,0,0.315277),
+            Elem(14,1,0.007553), Elem(14,2,0.443782), Elem(14,3,0.005466), Elem(14,4,0.002994), Elem(14,5,0.002100), Elem(14,6,0.001627), Elem(14,7,0.001332), Elem(14,8,0.001128),
+            Elem(21,0,0.006617), Elem(21,1,0.661660), Elem(21,2,0.006617), Elem(21,3,0.003308), Elem(21,4,0.002206), Elem(21,5,0.001654), Elem(21,6,0.001323), Elem(21,7,0.001103),
+            Elem(21,8,0.000945), Elem(25,0,0.000056), Elem(25,1,0.000075), Elem(25,2,0.000112), Elem(25,3,0.000224), Elem(25,4,0.022387), Elem(25,5,0.000224), Elem(25,6,0.000112),
+            Elem(25,7,0.000075), Elem(25,8,0.000056), Elem(26,0,0.002250), Elem(26,1,0.003364), Elem(26,2,0.006691), Elem(26,3,0.661772), Elem(26,4,0.006840), Elem(26,5,0.025696),
+            Elem(26,6,0.002429), Elem(26,7,0.001766), Elem(26,8,0.001398), Elem(30,0,0.000025), Elem(30,1,0.000030), Elem(30,2,0.000037), Elem(30,3,0.000050), Elem(30,4,0.000075),
+            Elem(30,5,0.000150), Elem(30,6,0.014962), Elem(30,7,0.000150), Elem(30,8,0.000075), Elem(33,0,0.005541), Elem(33,1,0.007388), Elem(33,2,0.011082), Elem(33,3,0.022163),
+            Elem(33,4,2.216334), Elem(33,5,0.022163), Elem(33,6,0.011082), Elem(33,7,0.007388), Elem(33,8,0.005541), Elem(38,0,0.004469), Elem(38,1,0.005591), Elem(38,2,0.007475),
+            Elem(38,3,0.017790), Elem(38,4,0.022264), Elem(38,5,2.216417), Elem(38,6,0.022286), Elem(38,7,0.021098), Elem(38,8,0.007501), Elem(42,0,0.002469), Elem(42,1,0.002963),
+            Elem(42,2,0.003703), Elem(42,3,0.004938), Elem(42,4,0.007406), Elem(42,5,0.014813), Elem(42,6,1.481273), Elem(42,7,0.014813), Elem(42,8,0.007406), Elem(44,0,0.000056),
+            Elem(44,1,0.000075), Elem(44,2,0.000112), Elem(44,3,0.000224), Elem(44,4,0.022387), Elem(44,5,0.000224), Elem(44,6,0.000112), Elem(44,7,0.000075), Elem(44,8,0.000056),
+            Elem(45,0,0.001459), Elem(45,1,0.001706), Elem(45,2,0.002055), Elem(45,3,0.002587), Elem(45,4,0.003524), Elem(45,5,0.027337), Elem(45,6,0.010124), Elem(45,7,0.990112),
+            Elem(45,8,0.009975), Elem(50,0,0.001237), Elem(50,1,0.001414), Elem(50,2,0.001650), Elem(50,3,0.001980), Elem(50,4,0.002475), Elem(50,5,0.003300), Elem(50,6,0.004950),
+            Elem(50,7,0.009900), Elem(50,8,0.990000), Elem(57,1,0.000017), Elem(57,2,0.000020), Elem(57,3,0.000025), Elem(57,4,0.000033), Elem(57,5,0.000050), Elem(57,6,0.000100),
+            Elem(57,7,0.010000), Elem(57,8,0.000100), Elem(62,0,0.006369), Elem(62,1,0.000153), Elem(62,2,0.008965), Elem(62,3,0.000110), Elem(62,4,0.000060), Elem(62,5,0.000042),
+            Elem(62,6,0.000033), Elem(62,7,0.000027), Elem(62,8,0.000023), Elem(69,0,0.000134), Elem(69,1,0.013367), Elem(69,2,0.000134), Elem(69,3,0.000067), Elem(69,4,0.000045),
+            Elem(69,5,0.000033), Elem(69,6,0.000027), Elem(69,7,0.000022), Elem(69,8,0.000019), Elem(74,0,0.000045), Elem(74,1,0.000067), Elem(74,2,0.000134), Elem(74,3,0.013367),
+            Elem(74,4,0.000134), Elem(74,5,0.000067), Elem(74,6,0.000045), Elem(74,7,0.000033), Elem(74,8,0.000027), Elem(81,0,0.000056), Elem(81,1,0.000075), Elem(81,2,0.000112),
+            Elem(81,3,0.000224), Elem(81,4,0.022387), Elem(81,5,0.000224), Elem(81,6,0.000112), Elem(81,7,0.000075), Elem(81,8,0.000056), Elem(85,0,0.000050), Elem(85,1,0.000060),
+            Elem(85,2,0.000075), Elem(85,3,0.000100), Elem(85,4,0.000150), Elem(85,5,0.000299), Elem(85,6,0.029925), Elem(85,7,0.000299), Elem(85,8,0.000150), Elem(86,2,0.000017),
+            Elem(86,3,0.000020), Elem(86,4,0.000025), Elem(86,5,0.000033), Elem(86,6,0.000050), Elem(86,7,0.000100), Elem(86,8,0.010000), Elem(88,1,0.000017), Elem(88,2,0.000020),
+            Elem(88,3,0.000025), Elem(88,4,0.000033), Elem(88,5,0.000050), Elem(88,6,0.000100), Elem(88,7,0.010000), Elem(88,8,0.000100), },
+      { Elem(3,0,0.003210), Elem(3,1,0.000105), Elem(3,2,0.004516), Elem(3,3,0.000095), Elem(3,4,0.000080), Elem(3,5,0.000088), Elem(3,6,0.000116), Elem(3,7,0.000213),
+            Elem(3,8,0.020011), Elem(10,0,0.000067), Elem(10,1,0.006683), Elem(10,2,0.000067), Elem(10,3,0.000033), Elem(10,4,0.000022), Elem(10,5,0.000017), Elem(15,0,0.315277),
+            Elem(15,1,0.007553), Elem(15,2,0.443782), Elem(15,3,0.005466), Elem(15,4,0.002994), Elem(15,5,0.002100), Elem(15,6,0.001627), Elem(15,7,0.001332), Elem(15,8,0.001128),
+            Elem(22,0,0.006617), Elem(22,1,0.661660), Elem(22,2,0.006617), Elem(22,3,0.003308), Elem(22,4,0.002206), Elem(22,5,0.001654), Elem(22,6,0.001323), Elem(22,7,0.001103),
+            Elem(22,8,0.000945), Elem(27,0,0.002250), Elem(27,1,0.003364), Elem(27,2,0.006691), Elem(27,3,0.661772), Elem(27,4,0.006840), Elem(27,5,0.025696), Elem(27,6,0.002429),
+            Elem(27,7,0.001766), Elem(27,8,0.001398), Elem(34,0,0.005541), Elem(34,1,0.007388), Elem(34,2,0.011082), Elem(34,3,0.022163), Elem(34,4,2.216334), Elem(34,5,0.022163),
+            Elem(34,6,0.011082), Elem(34,7,0.007388), Elem(34,8,0.005541), Elem(36,0,0.000025), Elem(36,1,0.000030), Elem(36,2,0.000037), Elem(36,3,0.000050), Elem(36,4,0.000075),
+            Elem(36,5,0.000150), Elem(36,6,0.014962), Elem(36,7,0.000150), Elem(36,8,0.000075), Elem(39,0,0.004469), Elem(39,1,0.005591), Elem(39,2,0.007475), Elem(39,3,0.017790),
+            Elem(39,4,0.022264), Elem(39,5,2.216417), Elem(39,6,0.022286), Elem(39,7,0.021098), Elem(39,8,0.007501), Elem(43,0,0.002469), Elem(43,1,0.002963), Elem(43,2,0.003703),
+            Elem(43,3,0.004938), Elem(43,4,0.007406), Elem(43,5,0.014813), Elem(43,6,1.481273), Elem(43,7,0.014813), Elem(43,8,0.007406), Elem(46,0,0.001459), Elem(46,1,0.001706),
+            Elem(46,2,0.002055), Elem(46,3,0.002587), Elem(46,4,0.003524), Elem(46,5,0.027337), Elem(46,6,0.010124), Elem(46,7,0.990112), Elem(46,8,0.009975), Elem(51,0,0.001237),
+            Elem(51,1,0.001414), Elem(51,2,0.001650), Elem(51,3,0.001980), Elem(51,4,0.002475), Elem(51,5,0.003300), Elem(51,6,0.004950), Elem(51,7,0.009900), Elem(51,8,0.990000),
+            Elem(55,0,0.000025), Elem(55,1,0.000030), Elem(55,2,0.000037), Elem(55,3,0.000050), Elem(55,4,0.000075), Elem(55,5,0.000150), Elem(55,6,0.014962), Elem(55,7,0.000150),
+            Elem(55,8,0.000075), Elem(58,1,0.000017), Elem(58,2,0.000020), Elem(58,3,0.000025), Elem(58,4,0.000033), Elem(58,5,0.000050), Elem(58,6,0.000100), Elem(58,7,0.010000),
+            Elem(58,8,0.000100), Elem(63,0,0.006369), Elem(63,1,0.000153), Elem(63,2,0.008965), Elem(63,3,0.000110), Elem(63,4,0.000060), Elem(63,5,0.000042), Elem(63,6,0.000033),
+            Elem(63,7,0.000027), Elem(63,8,0.000023), Elem(70,0,0.000134), Elem(70,1,0.013367), Elem(70,2,0.000134), Elem(70,3,0.000067), Elem(70,4,0.000045), Elem(70,5,0.000033),
+            Elem(70,6,0.000027), Elem(70,7,0.000022), Elem(70,8,0.000019), Elem(75,0,0.000045), Elem(75,1,0.000067), Elem(75,2,0.000134), Elem(75,3,0.013367), Elem(75,4,0.000134),
+            Elem(75,5,0.000067), Elem(75,6,0.000045), Elem(75,7,0.000033), Elem(75,8,0.000027), Elem(82,0,0.000112), Elem(82,1,0.000149), Elem(82,2,0.000224), Elem(82,3,0.000448),
+            Elem(82,4,0.044774), Elem(82,5,0.000448), Elem(82,6,0.000224), Elem(82,7,0.000149), Elem(82,8,0.000112), Elem(86,0,0.000025), Elem(86,1,0.000030), Elem(86,2,0.000037),
+            Elem(86,3,0.000050), Elem(86,4,0.000075), Elem(86,5,0.000150), Elem(86,6,0.014962), Elem(86,7,0.000150), Elem(86,8,0.000075), Elem(87,2,0.000017), Elem(87,3,0.000020),
+            Elem(87,4,0.000025), Elem(87,5,0.000033), Elem(87,6,0.000050), Elem(87,7,0.000100), Elem(87,8,0.010000), Elem(89,0,0.000070), Elem(89,1,0.000091), Elem(89,2,0.000132),
+            Elem(89,3,0.000249), Elem(89,4,0.022421), Elem(89,5,0.000274), Elem(89,6,0.000212), Elem(89,7,0.010075), Elem(89,8,0.000156), },
+      { Elem(4,0,0.003210), Elem(4,1,0.000105), Elem(4,2,0.004516), Elem(4,3,0.000095), Elem(4,4,0.000080), Elem(4,5,0.000088), Elem(4,6,0.000116), Elem(4,7,0.000213),
+            Elem(4,8,0.020011), Elem(11,0,0.000067), Elem(11,1,0.006683), Elem(11,2,0.000067), Elem(11,3,0.000033), Elem(11,4,0.000022), Elem(11,5,0.000017), Elem(16,0,0.315277),
+            Elem(16,1,0.007553), Elem(16,2,0.443782), Elem(16,3,0.005466), Elem(16,4,0.002994), Elem(16,5,0.002100), Elem(16,6,0.001627), Elem(16,7,0.001332), Elem(16,8,0.001128),
+            Elem(23,0,0.006617), Elem(23,1,0.661660), Elem(23,2,0.006617), Elem(23,3,0.003308), Elem(23,4,0.002206), Elem(23,5,0.001654), Elem(23,6,0.001323), Elem(23,7,0.001103),
+            Elem(23,8,0.000945), Elem(28,0,0.002250), Elem(28,1,0.003364), Elem(28,2,0.006691), Elem(28,3,0.661772), Elem(28,4,0.006840), Elem(28,5,0.025696), Elem(28,6,0.002429),
+            Elem(28,7,0.001766), Elem(28,8,0.001398), Elem(33,0,0.000025), Elem(33,1,0.000030), Elem(33,2,0.000037), Elem(33,3,0.000050), Elem(33,4,0.000075), Elem(33,5,0.000150),
+            Elem(33,6,0.014962), Elem(33,7,0.000150), Elem(33,8,0.000075), Elem(35,0,0.005541), Elem(35,1,0.007388), Elem(35,2,0.011082), Elem(35,3,0.022163), Elem(35,4,2.216334),
+            Elem(35,5,0.022163), Elem(35,6,0.011082), Elem(35,7,0.007388), Elem(35,8,0.005541), Elem(40,0,0.004469), Elem(40,1,0.005591), Elem(40,2,0.007475), Elem(40,3,0.017790),
+            Elem(40,4,0.022264), Elem(40,5,2.216417), Elem(40,6,0.022286), Elem(40,7,0.021098), Elem(40,8,0.007501), Elem(44,0,0.002469), Elem(44,1,0.002963), Elem(44,2,0.003703),
+            Elem(44,3,0.004938), Elem(44,4,0.007406), Elem(44,5,0.014813), Elem(44,6,1.481273), Elem(44,7,0.014813), Elem(44,8,0.007406), Elem(47,0,0.001459), Elem(47,1,0.001706),
+            Elem(47,2,0.002055), Elem(47,3,0.002587), Elem(47,4,0.003524), Elem(47,5,0.027337), Elem(47,6,0.010124), Elem(47,7,0.990112), Elem(47,8,0.009975), Elem(52,0,0.001237),
+            Elem(52,1,0.001414), Elem(52,2,0.001650), Elem(52,3,0.001980), Elem(52,4,0.002475), Elem(52,5,0.003300), Elem(52,6,0.004950), Elem(52,7,0.009900), Elem(52,8,0.990000),
+            Elem(56,0,0.000025), Elem(56,1,0.000030), Elem(56,2,0.000037), Elem(56,3,0.000050), Elem(56,4,0.000075), Elem(56,5,0.000150), Elem(56,6,0.014962), Elem(56,7,0.000150),
+            Elem(56,8,0.000075), Elem(59,1,0.000017), Elem(59,2,0.000020), Elem(59,3,0.000025), Elem(59,4,0.000033), Elem(59,5,0.000050), Elem(59,6,0.000100), Elem(59,7,0.010000),
+            Elem(59,8,0.000100), Elem(64,0,0.006369), Elem(64,1,0.000153), Elem(64,2,0.008965), Elem(64,3,0.000110), Elem(64,4,0.000060), Elem(64,5,0.000042), Elem(64,6,0.000033),
+            Elem(64,7,0.000027), Elem(64,8,0.000023), Elem(71,0,0.000134), Elem(71,1,0.013367), Elem(71,2,0.000134), Elem(71,3,0.000067), Elem(71,4,0.000045), Elem(71,5,0.000033),
+            Elem(71,6,0.000027), Elem(71,7,0.000022), Elem(71,8,0.000019), Elem(76,0,0.000045), Elem(76,1,0.000067), Elem(76,2,0.000134), Elem(76,3,0.013367), Elem(76,4,0.000134),
+            Elem(76,5,0.000067), Elem(76,6,0.000045), Elem(76,7,0.000033), Elem(76,8,0.000027), Elem(83,0,0.000112), Elem(83,1,0.000149), Elem(83,2,0.000224), Elem(83,3,0.000448),
+            Elem(83,4,0.044774), Elem(83,5,0.000448), Elem(83,6,0.000224), Elem(83,7,0.000149), Elem(83,8,0.000112), Elem(87,0,0.000025), Elem(87,1,0.000030), Elem(87,2,0.000037),
+            Elem(87,3,0.000050), Elem(87,4,0.000075), Elem(87,5,0.000150), Elem(87,6,0.014962), Elem(87,7,0.000150), Elem(87,8,0.000075), Elem(88,2,0.000017), Elem(88,3,0.000020),
+            Elem(88,4,0.000025), Elem(88,5,0.000033), Elem(88,6,0.000050), Elem(88,7,0.000100), Elem(88,8,0.010000), Elem(90,0,0.000070), Elem(90,1,0.000091), Elem(90,2,0.000132),
+            Elem(90,3,0.000249), Elem(90,4,0.022421), Elem(90,5,0.000274), Elem(90,6,0.000212), Elem(90,7,0.010075), Elem(90,8,0.000156), },
+      { Elem(0,0,0.000029), Elem(0,1,0.000033), Elem(0,2,0.000040), Elem(0,3,0.000050), Elem(0,4,0.000067), Elem(0,5,0.000100), Elem(0,6,0.000200), Elem(0,7,0.020000),
+            Elem(0,8,0.000200), Elem(5,0,0.003210), Elem(5,1,0.000105), Elem(5,2,0.004516), Elem(5,3,0.000095), Elem(5,4,0.000080), Elem(5,5,0.000088), Elem(5,6,0.000116),
+            Elem(5,7,0.000213), Elem(5,8,0.020011), Elem(17,0,0.315277), Elem(17,1,0.007553), Elem(17,2,0.443782), Elem(17,3,0.005466), Elem(17,4,0.002994), Elem(17,5,0.002100),
+            Elem(17,6,0.001627), Elem(17,7,0.001332), Elem(17,8,0.001128), Elem(24,0,0.006673), Elem(24,1,0.661735), Elem(24,2,0.006729), Elem(24,3,0.003532), Elem(24,4,0.024593),
+            Elem(24,5,0.001878), Elem(24,6,0.001435), Elem(24,7,0.001177), Elem(24,8,0.001001), Elem(29,0,0.002250), Elem(29,1,0.003364), Elem(29,2,0.006691), Elem(29,3,0.661772),
+            Elem(29,4,0.006840), Elem(29,5,0.025696), Elem(29,6,0.002429), Elem(29,7,0.001766), Elem(29,8,0.001398), Elem(36,0,0.005608), Elem(36,1,0.014071), Elem(36,2,0.011149),
+            Elem(36,3,0.022197), Elem(36,4,2.216356), Elem(36,5,0.022180), Elem(36,6,0.011095), Elem(36,7,0.007399), Elem(36,8,0.005550), Elem(38,0,0.000025), Elem(38,1,0.000030),
+            Elem(38,2,0.000037), Elem(38,3,0.000050), Elem(38,4,0.000075), Elem(38,5,0.000150), Elem(38,6,0.014962), Elem(38,7,0.000150), Elem(38,8,0.000075), Elem(41,0,0.004455),
+            Elem(41,1,0.005574), Elem(41,2,0.007455), Elem(41,3,0.017765), Elem(41,4,0.022230), Elem(41,5,2.216367), Elem(41,6,0.022186), Elem(41,7,0.011098), Elem(41,8,0.007401),
+            Elem(43,0,0.000056), Elem(43,1,0.000075), Elem(43,2,0.000112), Elem(43,3,0.000224), Elem(43,4,0.022387), Elem(43,5,0.000224), Elem(43,6,0.000112), Elem(43,7,0.000075),
+            Elem(43,8,0.000056), Elem(45,0,0.002469), Elem(45,1,0.002963), Elem(45,2,0.003703), Elem(45,3,0.004938), Elem(45,4,0.007406), Elem(45,5,0.014813), Elem(45,6,1.481273),
+            Elem(45,7,0.014813), Elem(45,8,0.007406), Elem(48,0,0.001414), Elem(48,1,0.001650), Elem(48,2,0.001980), Elem(48,3,0.002475), Elem(48,4,0.003300), Elem(48,5,0.004950),
+            Elem(48,6,0.009900), Elem(48,7,0.990000), Elem(48,8,0.009900), Elem(53,0,0.001237), Elem(53,1,0.001414), Elem(53,2,0.001650), Elem(53,3,0.001980), Elem(53,4,0.002475),
+            Elem(53,5,0.003300), Elem(53,6,0.004950), Elem(53,7,0.009900), Elem(53,8,0.990000), Elem(57,0,0.000025), Elem(57,1,0.000030), Elem(57,2,0.000037), Elem(57,3,0.000050),
+            Elem(57,4,0.000075), Elem(57,5,0.000150), Elem(57,6,0.014962), Elem(57,7,0.000150), Elem(57,8,0.000075), Elem(65,0,0.006369), Elem(65,1,0.000153), Elem(65,2,0.008965),
+            Elem(65,3,0.000110), Elem(65,4,0.000060), Elem(65,5,0.000042), Elem(65,6,0.000033), Elem(65,7,0.000027), Elem(65,8,0.000023), Elem(72,0,0.000134), Elem(72,1,0.013367),
+            Elem(72,2,0.000134), Elem(72,3,0.000067), Elem(72,4,0.000045), Elem(72,5,0.000033), Elem(72,6,0.000027), Elem(72,7,0.000022), Elem(72,8,0.000019), Elem(75,0,0.000022),
+            Elem(75,1,0.000033), Elem(75,2,0.000067), Elem(75,3,0.006683), Elem(75,4,0.000067), Elem(75,5,0.000033), Elem(75,6,0.000022), Elem(75,7,0.000017), Elem(77,0,0.000022),
+            Elem(77,1,0.000033), Elem(77,2,0.000067), Elem(77,3,0.006683), Elem(77,4,0.000067), Elem(77,5,0.000033), Elem(77,6,0.000022), Elem(77,7,0.000017), Elem(84,0,0.000090),
+            Elem(84,1,0.000112), Elem(84,2,0.000149), Elem(84,3,0.000224), Elem(84,4,0.000448), Elem(84,5,0.044774), Elem(84,6,0.000448), Elem(84,7,0.000224), Elem(84,8,0.000149),
+            Elem(88,0,0.000025), Elem(88,1,0.000030), Elem(88,2,0.000037), Elem(88,3,0.000050), Elem(88,4,0.000075), Elem(88,5,0.000150), Elem(88,6,0.014962), Elem(88,7,0.000150),
+            Elem(88,8,0.000075), Elem(89,2,0.000017), Elem(89,3,0.000020), Elem(89,4,0.000025), Elem(89,5,0.000033), Elem(89,6,0.000050), Elem(89,7,0.000100), Elem(89,8,0.010000),
+            },
+      { Elem(1,0,0.000029), Elem(1,1,0.000033), Elem(1,2,0.000040), Elem(1,3,0.000050), Elem(1,4,0.000067), Elem(1,5,0.000100), Elem(1,6,0.000200), Elem(1,7,0.020000),
+            Elem(1,8,0.000200), Elem(6,0,0.003210), Elem(6,1,0.000105), Elem(6,2,0.004516), Elem(6,3,0.000095), Elem(6,4,0.000080), Elem(6,5,0.000088), Elem(6,6,0.000116),
+            Elem(6,7,0.000213), Elem(6,8,0.020011), Elem(18,0,0.315277), Elem(18,1,0.007553), Elem(18,2,0.443782), Elem(18,3,0.005466), Elem(18,4,0.002994), Elem(18,5,0.002100),
+            Elem(18,6,0.001627), Elem(18,7,0.001332), Elem(18,8,0.001128), Elem(25,0,0.006617), Elem(25,1,0.661660), Elem(25,2,0.006617), Elem(25,3,0.003308), Elem(25,4,0.002206),
+            Elem(25,5,0.001654), Elem(25,6,0.001323), Elem(25,7,0.001103), Elem(25,8,0.000945), Elem(30,0,0.002250), Elem(30,1,0.003364), Elem(30,2,0.006691), Elem(30,3,0.661772),
+            Elem(30,4,0.006840), Elem(30,5,0.025696), Elem(30,6,0.002429), Elem(30,7,0.001766), Elem(30,8,0.001398), Elem(33,0,0.000067), Elem(33,1,0.006683), Elem(33,2,0.000067),
+            Elem(33,3,0.000033), Elem(33,4,0.000022), Elem(33,5,0.000017), Elem(37,0,0.005541), Elem(37,1,0.007388), Elem(37,2,0.011082), Elem(37,3,0.022163), Elem(37,4,2.216334),
+            Elem(37,5,0.022163), Elem(37,6,0.011082), Elem(37,7,0.007388), Elem(37,8,0.005541), Elem(39,0,0.000025), Elem(39,1,0.000030), Elem(39,2,0.000037), Elem(39,3,0.000050),
+            Elem(39,4,0.000075), Elem(39,5,0.000150), Elem(39,6,0.014962), Elem(39,7,0.000150), Elem(39,8,0.000075), Elem(42,0,0.004455), Elem(42,1,0.005574), Elem(42,2,0.007455),
+            Elem(42,3,0.017765), Elem(42,4,0.022230), Elem(42,5,2.216367), Elem(42,6,0.022186), Elem(42,7,0.011098), Elem(42,8,0.007401), Elem(46,0,0.002469), Elem(46,1,0.002963),
+            Elem(46,2,0.003703), Elem(46,3,0.004938), Elem(46,4,0.007406), Elem(46,5,0.014813), Elem(46,6,1.481273), Elem(46,7,0.014813), Elem(46,8,0.007406), Elem(49,0,0.001414),
+            Elem(49,1,0.001650), Elem(49,2,0.001980), Elem(49,3,0.002475), Elem(49,4,0.003300), Elem(49,5,0.004950), Elem(49,6,0.009900), Elem(49,7,0.990000), Elem(49,8,0.009900),
+            Elem(54,0,0.001237), Elem(54,1,0.001414), Elem(54,2,0.001650), Elem(54,3,0.001980), Elem(54,4,0.002475), Elem(54,5,0.003300), Elem(54,6,0.004950), Elem(54,7,0.009900),
+            Elem(54,8,0.990000), Elem(58,0,0.000025), Elem(58,1,0.000030), Elem(58,2,0.000037), Elem(58,3,0.000050), Elem(58,4,0.000075), Elem(58,5,0.000150), Elem(58,6,0.014962),
+            Elem(58,7,0.000150), Elem(58,8,0.000075), Elem(66,0,0.006369), Elem(66,1,0.000153), Elem(66,2,0.008965), Elem(66,3,0.000110), Elem(66,4,0.000060), Elem(66,5,0.000042),
+            Elem(66,6,0.000033), Elem(66,7,0.000027), Elem(66,8,0.000023), Elem(73,0,0.000134), Elem(73,1,0.013367), Elem(73,2,0.000134), Elem(73,3,0.000067), Elem(73,4,0.000045),
+            Elem(73,5,0.000033), Elem(73,6,0.000027), Elem(73,7,0.000022), Elem(73,8,0.000019), Elem(78,0,0.000045), Elem(78,1,0.000067), Elem(78,2,0.000134), Elem(78,3,0.013367),
+            Elem(78,4,0.000134), Elem(78,5,0.000067), Elem(78,6,0.000045), Elem(78,7,0.000033), Elem(78,8,0.000027), Elem(85,0,0.000104), Elem(85,1,0.000129), Elem(85,2,0.000169),
+            Elem(85,3,0.000249), Elem(85,4,0.000481), Elem(85,5,0.044824), Elem(85,6,0.000548), Elem(85,7,0.010224), Elem(85,8,0.000249), Elem(89,0,0.000025), Elem(89,1,0.000030),
+            Elem(89,2,0.000037), Elem(89,3,0.000050), Elem(89,4,0.000075), Elem(89,5,0.000150), Elem(89,6,0.014962), Elem(89,7,0.000150), Elem(89,8,0.000075), Elem(90,2,0.000017),
+            Elem(90,3,0.000020), Elem(90,4,0.000025), Elem(90,5,0.000033), Elem(90,6,0.000050), Elem(90,7,0.000100), Elem(90,8,0.010000), },
+      { Elem(2,0,0.000029), Elem(2,1,0.000033), Elem(2,2,0.000040), Elem(2,3,0.000050), Elem(2,4,0.000067), Elem(2,5,0.000100), Elem(2,6,0.000200), Elem(2,7,0.020000),
+            Elem(2,8,0.000200), Elem(7,0,0.003210), Elem(7,1,0.000105), Elem(7,2,0.004516), Elem(7,3,0.000095), Elem(7,4,0.000080), Elem(7,5,0.000088), Elem(7,6,0.000116),
+            Elem(7,7,0.000213), Elem(7,8,0.020011), Elem(19,0,0.315277), Elem(19,1,0.007553), Elem(19,2,0.443782), Elem(19,3,0.005466), Elem(19,4,0.002994), Elem(19,5,0.002100),
+            Elem(19,6,0.001627), Elem(19,7,0.001332), Elem(19,8,0.001128), Elem(26,0,0.006673), Elem(26,1,0.661735), Elem(26,2,0.006729), Elem(26,3,0.003532), Elem(26,4,0.024593),
+            Elem(26,5,0.001878), Elem(26,6,0.001435), Elem(26,7,0.001177), Elem(26,8,0.001001), Elem(31,0,0.002206), Elem(31,1,0.003308), Elem(31,2,0.006617), Elem(31,3,0.661660),
+            Elem(31,4,0.006617), Elem(31,5,0.003308), Elem(31,6,0.002206), Elem(31,7,0.001654), Elem(31,8,0.001323), Elem(36,0,0.000045), Elem(36,1,0.000056), Elem(36,2,0.000075),
+            Elem(36,3,0.000112), Elem(36,4,0.000224), Elem(36,5,0.022387), Elem(36,6,0.000224), Elem(36,7,0.000112), Elem(36,8,0.000075), Elem(38,0,0.005608), Elem(38,1,0.014071),
+            Elem(38,2,0.011149), Elem(38,3,0.022197), Elem(38,4,2.216356), Elem(38,5,0.022180), Elem(38,6,0.011095), Elem(38,7,0.007399), Elem(38,8,0.005550), Elem(40,0,0.000025),
+            Elem(40,1,0.000030), Elem(40,2,0.000037), Elem(40,3,0.000050), Elem(40,4,0.000075), Elem(40,5,0.000150), Elem(40,6,0.014962), Elem(40,7,0.000150), Elem(40,8,0.000075),
+            Elem(43,0,0.004445), Elem(43,1,0.005555), Elem(43,2,0.007404), Elem(43,3,0.011102), Elem(43,4,0.022188), Elem(43,5,2.216367), Elem(43,6,0.022213), Elem(43,7,0.011182),
+            Elem(43,8,0.017388), Elem(45,0,0.000056), Elem(45,1,0.000075), Elem(45,2,0.000112), Elem(45,3,0.000224), Elem(45,4,0.022387), Elem(45,5,0.000224), Elem(45,6,0.000112),
+            Elem(45,7,0.000075), Elem(45,8,0.000056), Elem(47,0,0.002469), Elem(47,1,0.002963), Elem(47,2,0.003703), Elem(47,3,0.004938), Elem(47,4,0.007406), Elem(47,5,0.014813),
+            Elem(47,6,1.481273), Elem(47,7,0.014813), Elem(47,8,0.007406), Elem(50,0,0.001414), Elem(50,1,0.001650), Elem(50,2,0.001980), Elem(50,3,0.002475), Elem(50,4,0.003300),
+            Elem(50,5,0.004950), Elem(50,6,0.009900), Elem(50,7,0.990000), Elem(50,8,0.009900), Elem(55,0,0.001282), Elem(55,1,0.001470), Elem(55,2,0.001725), Elem(55,3,0.002092),
+            Elem(55,4,0.002699), Elem(55,5,0.025687), Elem(55,6,0.005174), Elem(55,7,0.010012), Elem(55,8,0.990075), Elem(59,0,0.000025), Elem(59,1,0.000030), Elem(59,2,0.000037),
+            Elem(59,3,0.000050), Elem(59,4,0.000075), Elem(59,5,0.000150), Elem(59,6,0.014962), Elem(59,7,0.000150), Elem(59,8,0.000075), Elem(67,0,0.006369), Elem(67,1,0.000153),
+            Elem(67,2,0.008965), Elem(67,3,0.000110), Elem(67,4,0.000060), Elem(67,5,0.000042), Elem(67,6,0.000033), Elem(67,7,0.000027), Elem(67,8,0.000023), Elem(74,0,0.000134),
+            Elem(74,1,0.013367), Elem(74,2,0.000134), Elem(74,3,0.000067), Elem(74,4,0.000045), Elem(74,5,0.000033), Elem(74,6,0.000027), Elem(74,7,0.000022), Elem(74,8,0.000019),
+            Elem(79,0,0.000045), Elem(79,1,0.000067), Elem(79,2,0.000134), Elem(79,3,0.013367), Elem(79,4,0.000134), Elem(79,5,0.000067), Elem(79,6,0.000045), Elem(79,7,0.000033),
+            Elem(79,8,0.000027), Elem(86,0,0.000081), Elem(86,1,0.000106), Elem(86,2,0.000161), Elem(86,3,0.006820), Elem(86,4,0.000324), Elem(86,5,0.022471), Elem(86,6,0.000346),
+            Elem(86,7,0.010129), Elem(86,8,0.000188), Elem(90,0,0.000025), Elem(90,1,0.000030), Elem(90,2,0.000037), Elem(90,3,0.000050), Elem(90,4,0.000075), Elem(90,5,0.000150),
+            Elem(90,6,0.014962), Elem(90,7,0.000150), Elem(90,8,0.000075), },
+      { Elem(0,0,0.000050), Elem(0,1,0.000060), Elem(0,2,0.000075), Elem(0,3,0.000100), Elem(0,4,0.000150), Elem(0,5,0.000299), Elem(0,6,0.029925), Elem(0,7,0.000299),
+            Elem(0,8,0.000150), Elem(3,0,0.000029), Elem(3,1,0.000033), Elem(3,2,0.000040), Elem(3,3,0.000050), Elem(3,4,0.000067), Elem(3,5,0.000100), Elem(3,6,0.000200),
+            Elem(3,7,0.020000), Elem(3,8,0.000200), Elem(8,0,0.003210), Elem(8,1,0.000105), Elem(8,2,0.004516), Elem(8,3,0.000095), Elem(8,4,0.000080), Elem(8,5,0.000088),
+            Elem(8,6,0.000116), Elem(8,7,0.000213), Elem(8,8,0.020011), Elem(20,0,0.315277), Elem(20,1,0.007553), Elem(20,2,0.443782), Elem(20,3,0.005466), Elem(20,4,0.002994),
+            Elem(20,5,0.002100), Elem(20,6,0.001627), Elem(20,7,0.001332), Elem(20,8,0.001128), Elem(27,0,0.006673), Elem(27,1,0.661735), Elem(27,2,0.006729), Elem(27,3,0.003532),
+            Elem(27,4,0.024593), Elem(27,5,0.001878), Elem(27,6,0.001435), Elem(27,7,0.001177), Elem(27,8,0.001001), Elem(32,0,0.002206), Elem(32,1,0.003308), Elem(32,2,0.006617),
+            Elem(32,3,0.661660), Elem(32,4,0.006617), Elem(32,5,0.003308), Elem(32,6,0.002206), Elem(32,7,0.001654), Elem(32,8,0.001323), Elem(33,0,0.000045), Elem(33,1,0.000056),
+            Elem(33,2,0.000075), Elem(33,3,0.000112), Elem(33,4,0.000224), Elem(33,5,0.022387), Elem(33,6,0.000224), Elem(33,7,0.000112), Elem(33,8,0.000075), Elem(39,0,0.005608),
+            Elem(39,1,0.014071), Elem(39,2,0.011149), Elem(39,3,0.022197), Elem(39,4,2.216356), Elem(39,5,0.022180), Elem(39,6,0.011095), Elem(39,7,0.007399), Elem(39,8,0.005550),
+            Elem(44,0,0.004445), Elem(44,1,0.005555), Elem(44,2,0.007404), Elem(44,3,0.011102), Elem(44,4,0.022188), Elem(44,5,2.216367), Elem(44,6,0.022213), Elem(44,7,0.011182),
+            Elem(44,8,0.017388), Elem(46,0,0.000056), Elem(46,1,0.000075), Elem(46,2,0.000112), Elem(46,3,0.000224), Elem(46,4,0.022387), Elem(46,5,0.000224), Elem(46,6,0.000112),
+            Elem(46,7,0.000075), Elem(46,8,0.000056), Elem(48,0,0.002469), Elem(48,1,0.002963), Elem(48,2,0.003703), Elem(48,3,0.004938), Elem(48,4,0.007406), Elem(48,5,0.014813),
+            Elem(48,6,1.481273), Elem(48,7,0.014813), Elem(48,8,0.007406), Elem(51,0,0.001414), Elem(51,1,0.001650), Elem(51,2,0.001980), Elem(51,3,0.002475), Elem(51,4,0.003300),
+            Elem(51,5,0.004950), Elem(51,6,0.009900), Elem(51,7,0.990000), Elem(51,8,0.009900), Elem(56,0,0.001282), Elem(56,1,0.001470), Elem(56,2,0.001725), Elem(56,3,0.002092),
+            Elem(56,4,0.002699), Elem(56,5,0.025687), Elem(56,6,0.005174), Elem(56,7,0.010012), Elem(56,8,0.990075), Elem(68,0,0.006369), Elem(68,1,0.000153), Elem(68,2,0.008965),
+            Elem(68,3,0.000110), Elem(68,4,0.000060), Elem(68,5,0.000042), Elem(68,6,0.000033), Elem(68,7,0.000027), Elem(68,8,0.000023), Elem(75,0,0.000134), Elem(75,1,0.013367),
+            Elem(75,2,0.000134), Elem(75,3,0.000067), Elem(75,4,0.000045), Elem(75,5,0.000033), Elem(75,6,0.000027), Elem(75,7,0.000022), Elem(75,8,0.000019), Elem(80,0,0.000045),
+            Elem(80,1,0.000067), Elem(80,2,0.000134), Elem(80,3,0.013367), Elem(80,4,0.000134), Elem(80,5,0.000067), Elem(80,6,0.000045), Elem(80,7,0.000033), Elem(80,8,0.000027),
+            Elem(87,0,0.000081), Elem(87,1,0.000106), Elem(87,2,0.000161), Elem(87,3,0.006820), Elem(87,4,0.000324), Elem(87,5,0.022471), Elem(87,6,0.000346), Elem(87,7,0.010129),
+            Elem(87,8,0.000188), },
+      { Elem(1,0,0.000050), Elem(1,1,0.000060), Elem(1,2,0.000075), Elem(1,3,0.000100), Elem(1,4,0.000150), Elem(1,5,0.000299), Elem(1,6,0.029925), Elem(1,7,0.000299),
+            Elem(1,8,0.000150), Elem(4,0,0.000029), Elem(4,1,0.000033), Elem(4,2,0.000040), Elem(4,3,0.000050), Elem(4,4,0.000067), Elem(4,5,0.000100), Elem(4,6,0.000200),
+            Elem(4,7,0.020000), Elem(4,8,0.000200), Elem(9,0,0.003210), Elem(9,1,0.000105), Elem(9,2,0.004516), Elem(9,3,0.000095), Elem(9,4,0.000080), Elem(9,5,0.000088),
+            Elem(9,6,0.000116), Elem(9,7,0.000213), Elem(9,8,0.020011), Elem(21,0,0.315277), Elem(21,1,0.007553), Elem(21,2,0.443782), Elem(21,3,0.005466), Elem(21,4,0.002994),
+            Elem(21,5,0.002100), Elem(21,6,0.001627), Elem(21,7,0.001332), Elem(21,8,0.001128), Elem(25,0,0.000022), Elem(25,1,0.000033), Elem(25,2,0.000067), Elem(25,3,0.006683),
+            Elem(25,4,0.000067), Elem(25,5,0.000033), Elem(25,6,0.000022), Elem(25,7,0.000017), Elem(28,0,0.006673), Elem(28,1,0.661735), Elem(28,2,0.006729), Elem(28,3,0.003532),
+            Elem(28,4,0.024593), Elem(28,5,0.001878), Elem(28,6,0.001435), Elem(28,7,0.001177), Elem(28,8,0.001001), Elem(33,0,0.002206), Elem(33,1,0.003308), Elem(33,2,0.006617),
+            Elem(33,3,0.661660), Elem(33,4,0.006617), Elem(33,5,0.003308), Elem(33,6,0.002206), Elem(33,7,0.001654), Elem(33,8,0.001323), Elem(38,0,0.000045), Elem(38,1,0.000056),
+            Elem(38,2,0.000075), Elem(38,3,0.000112), Elem(38,4,0.000224), Elem(38,5,0.022387), Elem(38,6,0.000224), Elem(38,7,0.000112), Elem(38,8,0.000075), Elem(40,0,0.005608),
+            Elem(40,1,0.014071), Elem(40,2,0.011149), Elem(40,3,0.022197), Elem(40,4,2.216356), Elem(40,5,0.022180), Elem(40,6,0.011095), Elem(40,7,0.007399), Elem(40,8,0.005550),
+            Elem(44,0,0.000022), Elem(44,1,0.000033), Elem(44,2,0.000067), Elem(44,3,0.006683), Elem(44,4,0.000067), Elem(44,5,0.000033), Elem(44,6,0.000022), Elem(44,7,0.000017),
+            Elem(45,0,0.004445), Elem(45,1,0.005555), Elem(45,2,0.007404), Elem(45,3,0.011102), Elem(45,4,0.022188), Elem(45,5,2.216367), Elem(45,6,0.022213), Elem(45,7,0.011182),
+            Elem(45,8,0.017388), Elem(47,0,0.000056), Elem(47,1,0.000075), Elem(47,2,0.000112), Elem(47,3,0.000224), Elem(47,4,0.022387), Elem(47,5,0.000224), Elem(47,6,0.000112),
+            Elem(47,7,0.000075), Elem(47,8,0.000056), Elem(49,0,0.002469), Elem(49,1,0.002963), Elem(49,2,0.003703), Elem(49,3,0.004938), Elem(49,4,0.007406), Elem(49,5,0.014813),
+            Elem(49,6,1.481273), Elem(49,7,0.014813), Elem(49,8,0.007406), Elem(52,0,0.001414), Elem(52,1,0.001650), Elem(52,2,0.001980), Elem(52,3,0.002475), Elem(52,4,0.003300),
+            Elem(52,5,0.004950), Elem(52,6,0.009900), Elem(52,7,0.990000), Elem(52,8,0.009900), Elem(57,0,0.001282), Elem(57,1,0.001470), Elem(57,2,0.001725), Elem(57,3,0.002092),
+            Elem(57,4,0.002699), Elem(57,5,0.025687), Elem(57,6,0.005174), Elem(57,7,0.010012), Elem(57,8,0.990075), Elem(69,0,0.006369), Elem(69,1,0.000153), Elem(69,2,0.008965),
+            Elem(69,3,0.000110), Elem(69,4,0.000060), Elem(69,5,0.000042), Elem(69,6,0.000033), Elem(69,7,0.000027), Elem(69,8,0.000023), Elem(76,0,0.000134), Elem(76,1,0.013367),
+            Elem(76,2,0.000134), Elem(76,3,0.000067), Elem(76,4,0.000045), Elem(76,5,0.000033), Elem(76,6,0.000027), Elem(76,7,0.000022), Elem(76,8,0.000019), Elem(81,0,0.000022),
+            Elem(81,1,0.000033), Elem(81,2,0.000067), Elem(81,3,0.006683), Elem(81,4,0.000067), Elem(81,5,0.000033), Elem(81,6,0.000022), Elem(81,7,0.000017), Elem(85,0,0.000025),
+            Elem(85,1,0.000030), Elem(85,2,0.000037), Elem(85,3,0.000050), Elem(85,4,0.000075), Elem(85,5,0.000150), Elem(85,6,0.014962), Elem(85,7,0.000150), Elem(85,8,0.000075),
+            Elem(88,0,0.000059), Elem(88,1,0.000073), Elem(88,2,0.000095), Elem(88,3,0.000137), Elem(88,4,0.000257), Elem(88,5,0.022437), Elem(88,6,0.000324), Elem(88,7,0.010112),
+            Elem(88,8,0.000175), },
+      { Elem(2,0,0.000050), Elem(2,1,0.000060), Elem(2,2,0.000075), Elem(2,3,0.000100), Elem(2,4,0.000150), Elem(2,5,0.000299), Elem(2,6,0.029925), Elem(2,7,0.000299),
+            Elem(2,8,0.000150), Elem(5,0,0.000029), Elem(5,1,0.000033), Elem(5,2,0.000040), Elem(5,3,0.000050), Elem(5,4,0.000067), Elem(5,5,0.000100), Elem(5,6,0.000200),
+            Elem(5,7,0.020000), Elem(5,8,0.000200), Elem(10,0,0.003210), Elem(10,1,0.000105), Elem(10,2,0.004516), Elem(10,3,0.000095), Elem(10,4,0.000080), Elem(10,5,0.000088),
+            Elem(10,6,0.000116), Elem(10,7,0.000213), Elem(10,8,0.020011), Elem(22,0,0.315277), Elem(22,1,0.007553), Elem(22,2,0.443782), Elem(22,3,0.005466), Elem(22,4,0.002994),
+            Elem(22,5,0.002100), Elem(22,6,0.001627), Elem(22,7,0.001332), Elem(22,8,0.001128), Elem(29,0,0.006673), Elem(29,1,0.661735), Elem(29,2,0.006729), Elem(29,3,0.003532),
+            Elem(29,4,0.024593), Elem(29,5,0.001878), Elem(29,6,0.001435), Elem(29,7,0.001177), Elem(29,8,0.001001), Elem(34,0,0.002206), Elem(34,1,0.003308), Elem(34,2,0.006617),
+            Elem(34,3,0.661660), Elem(34,4,0.006617), Elem(34,5,0.003308), Elem(34,6,0.002206), Elem(34,7,0.001654), Elem(34,8,0.001323), Elem(39,0,0.000045), Elem(39,1,0.000056),
+            Elem(39,2,0.000075), Elem(39,3,0.000112), Elem(39,4,0.000224), Elem(39,5,0.022387), Elem(39,6,0.000224), Elem(39,7,0.000112), Elem(39,8,0.000075), Elem(41,0,0.005608),
+            Elem(41,1,0.014071), Elem(41,2,0.011149), Elem(41,3,0.022197), Elem(41,4,2.216356), Elem(41,5,0.022180), Elem(41,6,0.011095), Elem(41,7,0.007399), Elem(41,8,0.005550),
+            Elem(46,0,0.004445), Elem(46,1,0.005555), Elem(46,2,0.007404), Elem(46,3,0.011102), Elem(46,4,0.022188), Elem(46,5,2.216367), Elem(46,6,0.022213), Elem(46,7,0.011182),
+            Elem(46,8,0.017388), Elem(50,0,0.002469), Elem(50,1,0.002963), Elem(50,2,0.003703), Elem(50,3,0.004938), Elem(50,4,0.007406), Elem(50,5,0.014813), Elem(50,6,1.481273),
+            Elem(50,7,0.014813), Elem(50,8,0.007406), Elem(53,0,0.001414), Elem(53,1,0.001650), Elem(53,2,0.001980), Elem(53,3,0.002475), Elem(53,4,0.003300), Elem(53,5,0.004950),
+            Elem(53,6,0.009900), Elem(53,7,0.990000), Elem(53,8,0.009900), Elem(58,0,0.001282), Elem(58,1,0.001470), Elem(58,2,0.001725), Elem(58,3,0.002092), Elem(58,4,0.002699),
+            Elem(58,5,0.025687), Elem(58,6,0.005174), Elem(58,7,0.010012), Elem(58,8,0.990075), Elem(70,0,0.006369), Elem(70,1,0.000153), Elem(70,2,0.008965), Elem(70,3,0.000110),
+            Elem(70,4,0.000060), Elem(70,5,0.000042), Elem(70,6,0.000033), Elem(70,7,0.000027), Elem(70,8,0.000023), Elem(75,0,0.000067), Elem(75,1,0.006683), Elem(75,2,0.000067),
+            Elem(75,3,0.000033), Elem(75,4,0.000022), Elem(75,5,0.000017), Elem(77,0,0.000067), Elem(77,1,0.006683), Elem(77,2,0.000067), Elem(77,3,0.000033), Elem(77,4,0.000022),
+            Elem(77,5,0.000017), Elem(82,0,0.000045), Elem(82,1,0.000067), Elem(82,2,0.000134), Elem(82,3,0.013367), Elem(82,4,0.000134), Elem(82,5,0.000067), Elem(82,6,0.000045),
+            Elem(82,7,0.000033), Elem(82,8,0.000027), Elem(84,0,0.000112), Elem(84,1,0.000149), Elem(84,2,0.000224), Elem(84,3,0.000448), Elem(84,4,0.044774), Elem(84,5,0.000448),
+            Elem(84,6,0.000224), Elem(84,7,0.000149), Elem(84,8,0.000112), Elem(86,0,0.000025), Elem(86,1,0.000030), Elem(86,2,0.000037), Elem(86,3,0.000050), Elem(86,4,0.000075),
+            Elem(86,5,0.000150), Elem(86,6,0.014962), Elem(86,7,0.000150), Elem(86,8,0.000075), Elem(89,0,0.000081), Elem(89,1,0.000106), Elem(89,2,0.000161), Elem(89,3,0.006820),
+            Elem(89,4,0.000324), Elem(89,5,0.022471), Elem(89,6,0.000346), Elem(89,7,0.010129), Elem(89,8,0.000188), },
+      { Elem(3,0,0.000050), Elem(3,1,0.000060), Elem(3,2,0.000075), Elem(3,3,0.000100), Elem(3,4,0.000150), Elem(3,5,0.000299), Elem(3,6,0.029925), Elem(3,7,0.000299),
+            Elem(3,8,0.000150), Elem(6,0,0.000029), Elem(6,1,0.000033), Elem(6,2,0.000040), Elem(6,3,0.000050), Elem(6,4,0.000067), Elem(6,5,0.000100), Elem(6,6,0.000200),
+            Elem(6,7,0.020000), Elem(6,8,0.000200), Elem(11,0,0.003210), Elem(11,1,0.000105), Elem(11,2,0.004516), Elem(11,3,0.000095), Elem(11,4,0.000080), Elem(11,5,0.000088),
+            Elem(11,6,0.000116), Elem(11,7,0.000213), Elem(11,8,0.020011), Elem(23,0,0.315277), Elem(23,1,0.007553), Elem(23,2,0.443782), Elem(23,3,0.005466), Elem(23,4,0.002994),
+            Elem(23,5,0.002100), Elem(23,6,0.001627), Elem(23,7,0.001332), Elem(23,8,0.001128), Elem(30,0,0.006673), Elem(30,1,0.661735), Elem(30,2,0.006729), Elem(30,3,0.003532),
+            Elem(30,4,0.024593), Elem(30,5,0.001878), Elem(30,6,0.001435), Elem(30,7,0.001177), Elem(30,8,0.001001), Elem(35,0,0.002206), Elem(35,1,0.003308), Elem(35,2,0.006617),
+            Elem(35,3,0.661660), Elem(35,4,0.006617), Elem(35,5,0.003308), Elem(35,6,0.002206), Elem(35,7,0.001654), Elem(35,8,0.001323), Elem(40,0,0.000045), Elem(40,1,0.000056),
+            Elem(40,2,0.000075), Elem(40,3,0.000112), Elem(40,4,0.000224), Elem(40,5,0.022387), Elem(40,6,0.000224), Elem(40,7,0.000112), Elem(40,8,0.000075), Elem(42,0,0.005608),
+            Elem(42,1,0.014071), Elem(42,2,0.011149), Elem(42,3,0.022197), Elem(42,4,2.216356), Elem(42,5,0.022180), Elem(42,6,0.011095), Elem(42,7,0.007399), Elem(42,8,0.005550),
+            Elem(47,0,0.004445), Elem(47,1,0.005555), Elem(47,2,0.007404), Elem(47,3,0.011102), Elem(47,4,0.022188), Elem(47,5,2.216367), Elem(47,6,0.022213), Elem(47,7,0.011182),
+            Elem(47,8,0.017388), Elem(51,0,0.002469), Elem(51,1,0.002963), Elem(51,2,0.003703), Elem(51,3,0.004938), Elem(51,4,0.007406), Elem(51,5,0.014813), Elem(51,6,1.481273),
+            Elem(51,7,0.014813), Elem(51,8,0.007406), Elem(54,0,0.001414), Elem(54,1,0.001650), Elem(54,2,0.001980), Elem(54,3,0.002475), Elem(54,4,0.003300), Elem(54,5,0.004950),
+            Elem(54,6,0.009900), Elem(54,7,0.990000), Elem(54,8,0.009900), Elem(59,0,0.001282), Elem(59,1,0.001470), Elem(59,2,0.001725), Elem(59,3,0.002092), Elem(59,4,0.002699),
+            Elem(59,5,0.025687), Elem(59,6,0.005174), Elem(59,7,0.010012), Elem(59,8,0.990075), Elem(71,0,0.006369), Elem(71,1,0.000153), Elem(71,2,0.008965), Elem(71,3,0.000110),
+            Elem(71,4,0.000060), Elem(71,5,0.000042), Elem(71,6,0.000033), Elem(71,7,0.000027), Elem(71,8,0.000023), Elem(78,0,0.000134), Elem(78,1,0.013367), Elem(78,2,0.000134),
+            Elem(78,3,0.000067), Elem(78,4,0.000045), Elem(78,5,0.000033), Elem(78,6,0.000027), Elem(78,7,0.000022), Elem(78,8,0.000019), Elem(83,0,0.000045), Elem(83,1,0.000067),
+            Elem(83,2,0.000134), Elem(83,3,0.013367), Elem(83,4,0.000134), Elem(83,5,0.000067), Elem(83,6,0.000045), Elem(83,7,0.000033), Elem(83,8,0.000027), Elem(85,0,0.000112),
+            Elem(85,1,0.000149), Elem(85,2,0.000224), Elem(85,3,0.000448), Elem(85,4,0.044774), Elem(85,5,0.000448), Elem(85,6,0.000224), Elem(85,7,0.000149), Elem(85,8,0.000112),
+            Elem(87,0,0.000025), Elem(87,1,0.000030), Elem(87,2,0.000037), Elem(87,3,0.000050), Elem(87,4,0.000075), Elem(87,5,0.000150), Elem(87,6,0.014962), Elem(87,7,0.000150),
+            Elem(87,8,0.000075), Elem(90,0,0.000081), Elem(90,1,0.000106), Elem(90,2,0.000161), Elem(90,3,0.006820), Elem(90,4,0.000324), Elem(90,5,0.022471), Elem(90,6,0.000346),
+            Elem(90,7,0.010129), Elem(90,8,0.000188), },
+      { Elem(0,0,0.004527), Elem(0,1,0.000119), Elem(0,2,0.000122), Elem(0,3,0.000165), Elem(0,4,0.000310), Elem(0,5,0.029934), Elem(0,6,0.000307), Elem(0,7,0.000156),
+            Elem(0,8,0.000105), Elem(4,0,0.000050), Elem(4,1,0.000060), Elem(4,2,0.000075), Elem(4,3,0.000100), Elem(4,4,0.000150), Elem(4,5,0.000299), Elem(4,6,0.029925),
+            Elem(4,7,0.000299), Elem(4,8,0.000150), Elem(7,0,0.000029), Elem(7,1,0.000033), Elem(7,2,0.000040), Elem(7,3,0.000050), Elem(7,4,0.000067), Elem(7,5,0.000100),
+            Elem(7,6,0.000200), Elem(7,7,0.020000), Elem(7,8,0.000200), Elem(12,0,0.442242), Elem(12,1,0.004451), Elem(12,2,0.002244), Elem(12,3,0.001514), Elem(12,4,0.001156),
+            Elem(12,5,0.000951), Elem(12,6,0.000837), Elem(12,7,0.000832), Elem(12,8,0.020553), Elem(24,0,0.002233), Elem(24,1,0.004456), Elem(24,2,0.442284), Elem(24,3,0.011106),
+            Elem(24,4,0.002278), Elem(24,5,0.001507), Elem(24,6,0.001128), Elem(24,7,0.000901), Elem(24,8,0.000750), Elem(31,0,0.006617), Elem(31,1,0.661660), Elem(31,2,0.006617),
+            Elem(31,3,0.003308), Elem(31,4,0.002206), Elem(31,5,0.001654), Elem(31,6,0.001323), Elem(31,7,0.001103), Elem(31,8,0.000945), Elem(36,0,0.002284), Elem(36,1,0.003428),
+            Elem(36,2,0.011195), Elem(36,3,0.661929), Elem(36,4,0.029026), Elem(36,5,0.003547), Elem(36,6,0.002329), Elem(36,7,0.001738), Elem(36,8,0.001387), Elem(43,0,0.005577),
+            Elem(43,1,0.007438), Elem(43,2,0.011169), Elem(43,3,0.028872), Elem(43,4,2.216434), Elem(43,5,0.022247), Elem(43,6,0.011204), Elem(43,7,0.017404), Elem(43,8,0.005654),
+            Elem(48,0,0.002963), Elem(48,1,0.003703), Elem(48,2,0.004938), Elem(48,3,0.007406), Elem(48,4,0.014813), Elem(48,5,1.481273), Elem(48,6,0.014813), Elem(48,7,0.007406),
+            Elem(48,8,0.004938), Elem(52,0,0.002469), Elem(52,1,0.002963), Elem(52,2,0.003703), Elem(52,3,0.004938), Elem(52,4,0.007406), Elem(52,5,0.014813), Elem(52,6,1.481273),
+            Elem(52,7,0.014813), Elem(52,8,0.007406), Elem(55,0,0.001470), Elem(55,1,0.001725), Elem(55,2,0.002092), Elem(55,3,0.002699), Elem(55,4,0.025687), Elem(55,5,0.005174),
+            Elem(55,6,0.010012), Elem(55,7,0.990075), Elem(55,8,0.009956), Elem(60,0,0.010171), Elem(60,1,0.001504), Elem(60,2,0.001695), Elem(60,3,0.002010), Elem(60,4,0.002497),
+            Elem(60,5,0.003318), Elem(60,6,0.004965), Elem(60,7,0.009913), Elem(60,8,0.990011), Elem(72,0,0.000057), Elem(72,1,0.000104), Elem(72,2,0.008950), Elem(72,3,0.000109),
+            Elem(72,4,0.000070), Elem(72,5,0.000063), Elem(72,6,0.000072), Elem(72,7,0.000118), Elem(72,8,0.010015), Elem(79,0,0.000134), Elem(79,1,0.013367), Elem(79,2,0.000134),
+            Elem(79,3,0.000067), Elem(79,4,0.000045), Elem(79,5,0.000033), Elem(79,6,0.000027), Elem(79,7,0.000022), Elem(79,8,0.000019), Elem(86,0,0.000123), Elem(86,1,0.006758),
+            Elem(86,2,0.000179), Elem(86,3,0.000257), Elem(86,4,0.022409), Elem(86,5,0.000241), Elem(86,6,0.000125), Elem(86,7,0.000086), Elem(86,8,0.000066), Elem(88,0,0.000025),
+            Elem(88,1,0.000030), Elem(88,2,0.000037), Elem(88,3,0.000050), Elem(88,4,0.000075), Elem(88,5,0.000150), Elem(88,6,0.014962), Elem(88,7,0.000150), Elem(88,8,0.000075),
+            },
+      { Elem(1,0,0.004527), Elem(1,1,0.000119), Elem(1,2,0.000122), Elem(1,3,0.000165), Elem(1,4,0.000310), Elem(1,5,0.029934), Elem(1,6,0.000307), Elem(1,7,0.000156),
+            Elem(1,8,0.000105), Elem(5,0,0.000050), Elem(5,1,0.000060), Elem(5,2,0.000075), Elem(5,3,0.000100), Elem(5,4,0.000150), Elem(5,5,0.000299), Elem(5,6,0.029925),
+            Elem(5,7,0.000299), Elem(5,8,0.000150), Elem(8,0,0.000029), Elem(8,1,0.000033), Elem(8,2,0.000040), Elem(8,3,0.000050), Elem(8,4,0.000067), Elem(8,5,0.000100),
+            Elem(8,6,0.000200), Elem(8,7,0.020000), Elem(8,8,0.000200), Elem(13,0,0.442242), Elem(13,1,0.004451), Elem(13,2,0.002244), Elem(13,3,0.001514), Elem(13,4,0.001156),
+            Elem(13,5,0.000951), Elem(13,6,0.000837), Elem(13,7,0.000832), Elem(13,8,0.020553), Elem(25,0,0.002211), Elem(25,1,0.004422), Elem(25,2,0.442217), Elem(25,3,0.004422),
+            Elem(25,4,0.002211), Elem(25,5,0.001474), Elem(25,6,0.001106), Elem(25,7,0.000884), Elem(25,8,0.000737), Elem(32,0,0.006617), Elem(32,1,0.661660), Elem(32,2,0.006617),
+            Elem(32,3,0.003308), Elem(32,4,0.002206), Elem(32,5,0.001654), Elem(32,6,0.001323), Elem(32,7,0.001103), Elem(32,8,0.000945), Elem(33,0,0.000078), Elem(33,1,0.000119),
+            Elem(33,2,0.004579), Elem(33,3,0.000269), Elem(33,4,0.022410), Elem(33,5,0.000239), Elem(33,6,0.000123), Elem(33,7,0.000084), Elem(33,8,0.000063), Elem(37,0,0.002206),
+            Elem(37,1,0.003308), Elem(37,2,0.006617), Elem(37,3,0.661660), Elem(37,4,0.006617), Elem(37,5,0.003308), Elem(37,6,0.002206), Elem(37,7,0.001654), Elem(37,8,0.001323),
+            Elem(44,0,0.005555), Elem(44,1,0.007404), Elem(44,2,0.011102), Elem(44,3,0.022188), Elem(44,4,2.216367), Elem(44,5,0.022213), Elem(44,6,0.011182), Elem(44,7,0.017388),
+            Elem(44,8,0.005641), Elem(49,0,0.002963), Elem(49,1,0.003703), Elem(49,2,0.004938), Elem(49,3,0.007406), Elem(49,4,0.014813), Elem(49,5,1.481273), Elem(49,6,0.014813),
+            Elem(49,7,0.007406), Elem(49,8,0.004938), Elem(53,0,0.002469), Elem(53,1,0.002963), Elem(53,2,0.003703), Elem(53,3,0.004938), Elem(53,4,0.007406), Elem(53,5,0.014813),
+            Elem(53,6,1.481273), Elem(53,7,0.014813), Elem(53,8,0.007406), Elem(56,0,0.001470), Elem(56,1,0.001725), Elem(56,2,0.002092), Elem(56,3,0.002699), Elem(56,4,0.025687),
+            Elem(56,5,0.005174), Elem(56,6,0.010012), Elem(56,7,0.990075), Elem(56,8,0.009956), Elem(61,0,0.010171), Elem(61,1,0.001504), Elem(61,2,0.001695), Elem(61,3,0.002010),
+            Elem(61,4,0.002497), Elem(61,5,0.003318), Elem(61,6,0.004965), Elem(61,7,0.009913), Elem(61,8,0.990011), Elem(73,0,0.000057), Elem(73,1,0.000104), Elem(73,2,0.008950),
+            Elem(73,3,0.000109), Elem(73,4,0.000070), Elem(73,5,0.000063), Elem(73,6,0.000072), Elem(73,7,0.000118), Elem(73,8,0.010015), Elem(80,0,0.000134), Elem(80,1,0.013367),
+            Elem(80,2,0.000134), Elem(80,3,0.000067), Elem(80,4,0.000045), Elem(80,5,0.000033), Elem(80,6,0.000027), Elem(80,7,0.000022), Elem(80,8,0.000019), Elem(85,0,0.000030),
+            Elem(85,1,0.000037), Elem(85,2,0.000050), Elem(85,3,0.000075), Elem(85,4,0.000150), Elem(85,5,0.014962), Elem(85,6,0.000150), Elem(85,7,0.000075), Elem(85,8,0.000050),
+            Elem(87,0,0.000123), Elem(87,1,0.006758), Elem(87,2,0.000179), Elem(87,3,0.000257), Elem(87,4,0.022409), Elem(87,5,0.000241), Elem(87,6,0.000125), Elem(87,7,0.000086),
+            Elem(87,8,0.000066), Elem(89,0,0.000025), Elem(89,1,0.000030), Elem(89,2,0.000037), Elem(89,3,0.000050), Elem(89,4,0.000075), Elem(89,5,0.000150), Elem(89,6,0.014962),
+            Elem(89,7,0.000150), Elem(89,8,0.000075), },
+      { Elem(2,0,0.004527), Elem(2,1,0.000119), Elem(2,2,0.000122), Elem(2,3,0.000165), Elem(2,4,0.000310), Elem(2,5,0.029934), Elem(2,6,0.000307), Elem(2,7,0.000156),
+            Elem(2,8,0.000105), Elem(6,0,0.000033), Elem(6,1,0.000040), Elem(6,2,0.000050), Elem(6,3,0.000067), Elem(6,4,0.000100), Elem(6,5,0.000200), Elem(6,6,0.020000),
+            Elem(6,7,0.000200), Elem(6,8,0.000100), Elem(9,0,0.000029), Elem(9,1,0.000033), Elem(9,2,0.000040), Elem(9,3,0.000050), Elem(9,4,0.000067), Elem(9,5,0.000100),
+            Elem(9,6,0.000200), Elem(9,7,0.020000), Elem(9,8,0.000200), Elem(14,0,0.442242), Elem(14,1,0.004451), Elem(14,2,0.002244), Elem(14,3,0.001514), Elem(14,4,0.001156),
+            Elem(14,5,0.000951), Elem(14,6,0.000837), Elem(14,7,0.000832), Elem(14,8,0.020553), Elem(25,0,0.000067), Elem(25,1,0.006683), Elem(25,2,0.000067), Elem(25,3,0.000033),
+            Elem(25,4,0.000022), Elem(25,5,0.000017), Elem(26,0,0.002233), Elem(26,1,0.004456), Elem(26,2,0.442284), Elem(26,3,0.011106), Elem(26,4,0.002278), Elem(26,5,0.001507),
+            Elem(26,6,0.001128), Elem(26,7,0.000901), Elem(26,8,0.000750), Elem(33,0,0.006617), Elem(33,1,0.661660), Elem(33,2,0.006617), Elem(33,3,0.003308), Elem(33,4,0.002206),
+            Elem(33,5,0.001654), Elem(33,6,0.001323), Elem(33,7,0.001103), Elem(33,8,0.000945), Elem(38,0,0.002265), Elem(38,1,0.003403), Elem(38,2,0.011158), Elem(38,3,0.661855),
+            Elem(38,4,0.021601), Elem(38,5,0.003473), Elem(38,6,0.002292), Elem(38,7,0.001713), Elem(38,8,0.001368), Elem(44,0,0.000067), Elem(44,1,0.006683), Elem(44,2,0.000067),
+            Elem(44,3,0.000033), Elem(44,4,0.000022), Elem(44,5,0.000017), Elem(45,0,0.003740), Elem(45,1,0.004988), Elem(45,2,0.007493), Elem(45,3,0.021521), Elem(45,4,1.481374),
+            Elem(45,5,0.014896), Elem(45,6,0.007529), Elem(45,7,0.014954), Elem(45,8,0.003817), Elem(50,0,0.002963), Elem(50,1,0.003703), Elem(50,2,0.004938), Elem(50,3,0.007406),
+            Elem(50,4,0.014813), Elem(50,5,1.481273), Elem(50,6,0.014813), Elem(50,7,0.007406), Elem(50,8,0.004938), Elem(54,0,0.001650), Elem(54,1,0.001980), Elem(54,2,0.002475),
+            Elem(54,3,0.003300), Elem(54,4,0.004950), Elem(54,5,0.009900), Elem(54,6,0.990000), Elem(54,7,0.009900), Elem(54,8,0.004950), Elem(57,0,0.001452), Elem(57,1,0.001700),
+            Elem(57,2,0.002055), Elem(57,3,0.002625), Elem(57,4,0.018262), Elem(57,5,0.005100), Elem(57,6,0.009975), Elem(57,7,0.990050), Elem(57,8,0.009937), Elem(62,0,0.010171),
+            Elem(62,1,0.001504), Elem(62,2,0.001695), Elem(62,3,0.002010), Elem(62,4,0.002497), Elem(62,5,0.003318), Elem(62,6,0.004965), Elem(62,7,0.009913), Elem(62,8,0.990011),
+            Elem(74,0,0.000057), Elem(74,1,0.000104), Elem(74,2,0.008950), Elem(74,3,0.000109), Elem(74,4,0.000070), Elem(74,5,0.000063), Elem(74,6,0.000072), Elem(74,7,0.000118),
+            Elem(74,8,0.010015), Elem(81,0,0.000067), Elem(81,1,0.006683), Elem(81,2,0.000067), Elem(81,3,0.000033), Elem(81,4,0.000022), Elem(81,5,0.000017), Elem(86,0,0.000030),
+            Elem(86,1,0.000037), Elem(86,2,0.000050), Elem(86,3,0.000075), Elem(86,4,0.000150), Elem(86,5,0.014962), Elem(86,6,0.000150), Elem(86,7,0.000075), Elem(86,8,0.000050),
+            Elem(88,0,0.000037), Elem(88,1,0.000050), Elem(88,2,0.000075), Elem(88,3,0.000150), Elem(88,4,0.014962), Elem(88,5,0.000150), Elem(88,6,0.000075), Elem(88,7,0.000050),
+            Elem(88,8,0.000037), Elem(90,0,0.000017), Elem(90,1,0.000020), Elem(90,2,0.000025), Elem(90,3,0.000033), Elem(90,4,0.000050), Elem(90,5,0.000100), Elem(90,6,0.010000),
+            Elem(90,7,0.000100), Elem(90,8,0.000050), },
+      { Elem(3,0,0.004507), Elem(3,1,0.000095), Elem(3,2,0.000089), Elem(3,3,0.000115), Elem(3,4,0.000211), Elem(3,5,0.020009), Elem(3,6,0.000207), Elem(3,7,0.000106),
+            Elem(3,8,0.000072), Elem(7,0,0.000033), Elem(7,1,0.000040), Elem(7,2,0.000050), Elem(7,3,0.000067), Elem(7,4,0.000100), Elem(7,5,0.000200), Elem(7,6,0.020000),
+            Elem(7,7,0.000200), Elem(7,8,0.000100), Elem(10,0,0.000029), Elem(10,1,0.000033), Elem(10,2,0.000040), Elem(10,3,0.000050), Elem(10,4,0.000067), Elem(10,5,0.000100),
+            Elem(10,6,0.000200), Elem(10,7,0.020000), Elem(10,8,0.000200), Elem(15,0,0.442242), Elem(15,1,0.004451), Elem(15,2,0.002244), Elem(15,3,0.001514), Elem(15,4,0.001156),
+            Elem(15,5,0.000951), Elem(15,6,0.000837), Elem(15,7,0.000832), Elem(15,8,0.020553), Elem(27,0,0.002233), Elem(27,1,0.004456), Elem(27,2,0.442284), Elem(27,3,0.011106),
+            Elem(27,4,0.002278), Elem(27,5,0.001507), Elem(27,6,0.001128), Elem(27,7,0.000901), Elem(27,8,0.000750), Elem(34,0,0.009900), Elem(34,1,0.990000), Elem(34,2,0.009900),
+            Elem(34,3,0.004950), Elem(34,4,0.003300), Elem(34,5,0.002475), Elem(34,6,0.001980), Elem(34,7,0.001650), Elem(34,8,0.001414), Elem(39,0,0.002265), Elem(39,1,0.003403),
+            Elem(39,2,0.011158), Elem(39,3,0.661855), Elem(39,4,0.021601), Elem(39,5,0.003473), Elem(39,6,0.002292), Elem(39,7,0.001713), Elem(39,8,0.001368), Elem(43,0,0.000017),
+            Elem(43,1,0.000020), Elem(43,2,0.000025), Elem(43,3,0.000033), Elem(43,4,0.000050), Elem(43,5,0.000100), Elem(43,6,0.010000), Elem(43,7,0.000100), Elem(43,8,0.000050),
+            Elem(46,0,0.003740), Elem(46,1,0.004988), Elem(46,2,0.007493), Elem(46,3,0.021521), Elem(46,4,1.481374), Elem(46,5,0.014896), Elem(46,6,0.007529), Elem(46,7,0.014954),
+            Elem(46,8,0.003817), Elem(51,0,0.001980), Elem(51,1,0.002475), Elem(51,2,0.003300), Elem(51,3,0.004950), Elem(51,4,0.009900), Elem(51,5,0.990000), Elem(51,6,0.009900),
+            Elem(51,7,0.004950), Elem(51,8,0.003300), Elem(55,0,0.001650), Elem(55,1,0.001980), Elem(55,2,0.002475), Elem(55,3,0.003300), Elem(55,4,0.004950), Elem(55,5,0.009900),
+            Elem(55,6,0.990000), Elem(55,7,0.009900), Elem(55,8,0.004950), Elem(58,0,0.001452), Elem(58,1,0.001700), Elem(58,2,0.002055), Elem(58,3,0.002625), Elem(58,4,0.018262),
+            Elem(58,5,0.005100), Elem(58,6,0.009975), Elem(58,7,0.990050), Elem(58,8,0.009937), Elem(63,0,0.010171), Elem(63,1,0.001504), Elem(63,2,0.001695), Elem(63,3,0.002010),
+            Elem(63,4,0.002497), Elem(63,5,0.003318), Elem(63,6,0.004965), Elem(63,7,0.009913), Elem(63,8,0.990011), Elem(75,0,0.000057), Elem(75,1,0.000104), Elem(75,2,0.008950),
+            Elem(75,3,0.000109), Elem(75,4,0.000070), Elem(75,5,0.000063), Elem(75,6,0.000072), Elem(75,7,0.000118), Elem(75,8,0.010015), Elem(82,0,0.000200), Elem(82,1,0.020000),
+            Elem(82,2,0.000200), Elem(82,3,0.000100), Elem(82,4,0.000067), Elem(82,5,0.000050), Elem(82,6,0.000040), Elem(82,7,0.000033), Elem(82,8,0.000029), Elem(87,0,0.000020),
+            Elem(87,1,0.000025), Elem(87,2,0.000033), Elem(87,3,0.000050), Elem(87,4,0.000100), Elem(87,5,0.010000), Elem(87,6,0.000100), Elem(87,7,0.000050), Elem(87,8,0.000033),
+            Elem(89,0,0.000137), Elem(89,1,0.010050), Elem(89,2,0.000175), Elem(89,3,0.000200), Elem(89,4,0.014996), Elem(89,5,0.000175), Elem(89,6,0.000095), Elem(89,7,0.000067),
+            Elem(89,8,0.000052), },
+      { Elem(4,0,0.004507), Elem(4,1,0.000095), Elem(4,2,0.000089), Elem(4,3,0.000115), Elem(4,4,0.000211), Elem(4,5,0.020009), Elem(4,6,0.000207), Elem(4,7,0.000106),
+            Elem(4,8,0.000072), Elem(8,0,0.000033), Elem(8,1,0.000040), Elem(8,2,0.000050), Elem(8,3,0.000067), Elem(8,4,0.000100), Elem(8,5,0.000200), Elem(8,6,0.020000),
+            Elem(8,7,0.000200), Elem(8,8,0.000100), Elem(11,0,0.000029), Elem(11,1,0.000033), Elem(11,2,0.000040), Elem(11,3,0.000050), Elem(11,4,0.000067), Elem(11,5,0.000100),
+            Elem(11,6,0.000200), Elem(11,7,0.020000), Elem(11,8,0.000200), Elem(16,0,0.442242), Elem(16,1,0.004451), Elem(16,2,0.002244), Elem(16,3,0.001514), Elem(16,4,0.001156),
+            Elem(16,5,0.000951), Elem(16,6,0.000837), Elem(16,7,0.000832), Elem(16,8,0.020553), Elem(28,0,0.002233), Elem(28,1,0.004456), Elem(28,2,0.442284), Elem(28,3,0.011106),
+            Elem(28,4,0.002278), Elem(28,5,0.001507), Elem(28,6,0.001128), Elem(28,7,0.000901), Elem(28,8,0.000750), Elem(35,0,0.009900), Elem(35,1,0.990000), Elem(35,2,0.009900),
+            Elem(35,3,0.004950), Elem(35,4,0.003300), Elem(35,5,0.002475), Elem(35,6,0.001980), Elem(35,7,0.001650), Elem(35,8,0.001414), Elem(40,0,0.002265), Elem(40,1,0.003403),
+            Elem(40,2,0.011158), Elem(40,3,0.661855), Elem(40,4,0.021601), Elem(40,5,0.003473), Elem(40,6,0.002292), Elem(40,7,0.001713), Elem(40,8,0.001368), Elem(44,0,0.000017),
+            Elem(44,1,0.000020), Elem(44,2,0.000025), Elem(44,3,0.000033), Elem(44,4,0.000050), Elem(44,5,0.000100), Elem(44,6,0.010000), Elem(44,7,0.000100), Elem(44,8,0.000050),
+            Elem(47,0,0.003740), Elem(47,1,0.004988), Elem(47,2,0.007493), Elem(47,3,0.021521), Elem(47,4,1.481374), Elem(47,5,0.014896), Elem(47,6,0.007529), Elem(47,7,0.014954),
+            Elem(47,8,0.003817), Elem(52,0,0.001980), Elem(52,1,0.002475), Elem(52,2,0.003300), Elem(52,3,0.004950), Elem(52,4,0.009900), Elem(52,5,0.990000), Elem(52,6,0.009900),
+            Elem(52,7,0.004950), Elem(52,8,0.003300), Elem(56,0,0.001650), Elem(56,1,0.001980), Elem(56,2,0.002475), Elem(56,3,0.003300), Elem(56,4,0.004950), Elem(56,5,0.009900),
+            Elem(56,6,0.990000), Elem(56,7,0.009900), Elem(56,8,0.004950), Elem(59,0,0.001452), Elem(59,1,0.001700), Elem(59,2,0.002055), Elem(59,3,0.002625), Elem(59,4,0.018262),
+            Elem(59,5,0.005100), Elem(59,6,0.009975), Elem(59,7,0.990050), Elem(59,8,0.009937), Elem(64,0,0.010171), Elem(64,1,0.001504), Elem(64,2,0.001695), Elem(64,3,0.002010),
+            Elem(64,4,0.002497), Elem(64,5,0.003318), Elem(64,6,0.004965), Elem(64,7,0.009913), Elem(64,8,0.990011), Elem(76,0,0.000057), Elem(76,1,0.000104), Elem(76,2,0.008950),
+            Elem(76,3,0.000109), Elem(76,4,0.000070), Elem(76,5,0.000063), Elem(76,6,0.000072), Elem(76,7,0.000118), Elem(76,8,0.010015), Elem(83,0,0.000200), Elem(83,1,0.020000),
+            Elem(83,2,0.000200), Elem(83,3,0.000100), Elem(83,4,0.000067), Elem(83,5,0.000050), Elem(83,6,0.000040), Elem(83,7,0.000033), Elem(83,8,0.000029), Elem(88,0,0.000020),
+            Elem(88,1,0.000025), Elem(88,2,0.000033), Elem(88,3,0.000050), Elem(88,4,0.000100), Elem(88,5,0.010000), Elem(88,6,0.000100), Elem(88,7,0.000050), Elem(88,8,0.000033),
+            Elem(90,0,0.000137), Elem(90,1,0.010050), Elem(90,2,0.000175), Elem(90,3,0.000200), Elem(90,4,0.014996), Elem(90,5,0.000175), Elem(90,6,0.000095), Elem(90,7,0.000067),
+            Elem(90,8,0.000052), },
+      { Elem(0,0,0.000075), Elem(0,1,0.000100), Elem(0,2,0.000150), Elem(0,3,0.000299), Elem(0,4,0.029925), Elem(0,5,0.000299), Elem(0,6,0.000150), Elem(0,7,0.000100),
+            Elem(0,8,0.000075), Elem(5,0,0.006723), Elem(5,1,0.000117), Elem(5,2,0.000100), Elem(5,3,0.000122), Elem(5,4,0.000217), Elem(5,5,0.020013), Elem(5,6,0.000211),
+            Elem(5,7,0.000110), Elem(5,8,0.000075), Elem(9,0,0.000033), Elem(9,1,0.000040), Elem(9,2,0.000050), Elem(9,3,0.000067), Elem(9,4,0.000100), Elem(9,5,0.000200),
+            Elem(9,6,0.020000), Elem(9,7,0.000200), Elem(9,8,0.000100), Elem(12,0,0.000029), Elem(12,1,0.000033), Elem(12,2,0.000040), Elem(12,3,0.000050), Elem(12,4,0.000067),
+            Elem(12,5,0.000100), Elem(12,6,0.000200), Elem(12,7,0.020000), Elem(12,8,0.000200), Elem(17,0,0.661686), Elem(17,1,0.006645), Elem(17,2,0.003342), Elem(17,3,0.002246),
+            Elem(17,4,0.001704), Elem(17,5,0.001390), Elem(17,6,0.001203), Elem(17,7,0.001145), Elem(17,8,0.020827), Elem(24,0,0.000100), Elem(24,1,0.010000), Elem(24,2,0.000100),
+            Elem(24,3,0.000050), Elem(24,4,0.000033), Elem(24,5,0.000025), Elem(24,6,0.000020), Elem(24,7,0.000017), Elem(29,0,0.003342), Elem(29,1,0.006667), Elem(29,2,0.661761),
+            Elem(29,3,0.016617), Elem(29,4,0.003408), Elem(29,5,0.002256), Elem(29,6,0.001687), Elem(29,7,0.001348), Elem(29,8,0.001123), Elem(36,0,0.009900), Elem(36,1,0.990000),
+            Elem(36,2,0.009900), Elem(36,3,0.004950), Elem(36,4,0.003300), Elem(36,5,0.002475), Elem(36,6,0.001980), Elem(36,7,0.001650), Elem(36,8,0.001414), Elem(41,0,0.003333),
+            Elem(41,1,0.005017), Elem(41,2,0.016583), Elem(41,3,0.990067), Elem(41,4,0.009933), Elem(41,5,0.004972), Elem(41,6,0.003317), Elem(41,7,0.002488), Elem(41,8,0.001991),
+            Elem(43,0,0.000100), Elem(43,1,0.010000), Elem(43,2,0.000100), Elem(43,3,0.000050), Elem(43,4,0.000033), Elem(43,5,0.000025), Elem(43,6,0.000020), Elem(43,7,0.000017),
+            Elem(45,0,0.000017), Elem(45,1,0.000020), Elem(45,2,0.000025), Elem(45,3,0.000033), Elem(45,4,0.000050), Elem(45,5,0.000100), Elem(45,6,0.010000), Elem(45,7,0.000100),
+            Elem(45,8,0.000050), Elem(48,0,0.003703), Elem(48,1,0.004938), Elem(48,2,0.007406), Elem(48,3,0.014813), Elem(48,4,1.481273), Elem(48,5,0.014813), Elem(48,6,0.007406),
+            Elem(48,7,0.004938), Elem(48,8,0.003703), Elem(53,0,0.001980), Elem(53,1,0.002475), Elem(53,2,0.003300), Elem(53,3,0.004950), Elem(53,4,0.009900), Elem(53,5,0.990000),
+            Elem(53,6,0.009900), Elem(53,7,0.004950), Elem(53,8,0.003300), Elem(57,0,0.001650), Elem(57,1,0.001980), Elem(57,2,0.002475), Elem(57,3,0.003300), Elem(57,4,0.004950),
+            Elem(57,5,0.009900), Elem(57,6,0.990000), Elem(57,7,0.009900), Elem(57,8,0.004950), Elem(60,0,0.001414), Elem(60,1,0.001650), Elem(60,2,0.001980), Elem(60,3,0.002475),
+            Elem(60,4,0.003300), Elem(60,5,0.004950), Elem(60,6,0.009900), Elem(60,7,0.990000), Elem(60,8,0.009900), Elem(65,0,0.014604), Elem(65,1,0.001548), Elem(65,2,0.001717),
+            Elem(65,3,0.002025), Elem(65,4,0.002508), Elem(65,5,0.003327), Elem(65,6,0.004972), Elem(65,7,0.009919), Elem(65,8,0.990017), Elem(72,1,0.000017), Elem(72,2,0.000020),
+            Elem(72,3,0.000025), Elem(72,4,0.000033), Elem(72,5,0.000050), Elem(72,6,0.000100), Elem(72,7,0.010000), Elem(72,8,0.000100), Elem(75,0,0.000046), Elem(75,1,0.000081),
+            Elem(75,2,0.006700), Elem(75,3,0.000087), Elem(75,4,0.000058), Elem(75,5,0.000056), Elem(75,6,0.000067), Elem(75,7,0.000113), Elem(75,8,0.010011), Elem(77,0,0.000033),
+            Elem(77,1,0.000067), Elem(77,2,0.006683), Elem(77,3,0.000067), Elem(77,4,0.000033), Elem(77,5,0.000022), Elem(77,6,0.000017), Elem(84,0,0.000067), Elem(84,1,0.000100),
+            Elem(84,2,0.000200), Elem(84,3,0.020000), Elem(84,4,0.000200), Elem(84,5,0.000100), Elem(84,6,0.000067), Elem(84,7,0.000050), Elem(84,8,0.000040), Elem(89,0,0.000020),
+            Elem(89,1,0.000025), Elem(89,2,0.000033), Elem(89,3,0.000050), Elem(89,4,0.000100), Elem(89,5,0.010000), Elem(89,6,0.000100), Elem(89,7,0.000050), Elem(89,8,0.000033),
+            },
+      { Elem(1,0,0.000075), Elem(1,1,0.000100), Elem(1,2,0.000150), Elem(1,3,0.000299), Elem(1,4,0.029925), Elem(1,5,0.000299), Elem(1,6,0.000150), Elem(1,7,0.000100),
+            Elem(1,8,0.000075), Elem(6,0,0.006723), Elem(6,1,0.000117), Elem(6,2,0.000100), Elem(6,3,0.000122), Elem(6,4,0.000217), Elem(6,5,0.020013), Elem(6,6,0.000211),
+            Elem(6,7,0.000110), Elem(6,8,0.000075), Elem(10,0,0.000033), Elem(10,1,0.000040), Elem(10,2,0.000050), Elem(10,3,0.000067), Elem(10,4,0.000100), Elem(10,5,0.000200),
+            Elem(10,6,0.020000), Elem(10,7,0.000200), Elem(10,8,0.000100), Elem(13,0,0.000029), Elem(13,1,0.000033), Elem(13,2,0.000040), Elem(13,3,0.000050), Elem(13,4,0.000067),
+            Elem(13,5,0.000100), Elem(13,6,0.000200), Elem(13,7,0.020000), Elem(13,8,0.000200), Elem(18,0,0.661686), Elem(18,1,0.006645), Elem(18,2,0.003342), Elem(18,3,0.002246),
+            Elem(18,4,0.001704), Elem(18,5,0.001390), Elem(18,6,0.001203), Elem(18,7,0.001145), Elem(18,8,0.020827), Elem(30,0,0.003342), Elem(30,1,0.006667), Elem(30,2,0.661761),
+            Elem(30,3,0.016617), Elem(30,4,0.003408), Elem(30,5,0.002256), Elem(30,6,0.001687), Elem(30,7,0.001348), Elem(30,8,0.001123), Elem(37,0,0.009900), Elem(37,1,0.990000),
+            Elem(37,2,0.009900), Elem(37,3,0.004950), Elem(37,4,0.003300), Elem(37,5,0.002475), Elem(37,6,0.001980), Elem(37,7,0.001650), Elem(37,8,0.001414), Elem(42,0,0.003333),
+            Elem(42,1,0.005017), Elem(42,2,0.016583), Elem(42,3,0.990067), Elem(42,4,0.009933), Elem(42,5,0.004972), Elem(42,6,0.003317), Elem(42,7,0.002488), Elem(42,8,0.001991),
+            Elem(46,0,0.000017), Elem(46,1,0.000020), Elem(46,2,0.000025), Elem(46,3,0.000033), Elem(46,4,0.000050), Elem(46,5,0.000100), Elem(46,6,0.010000), Elem(46,7,0.000100),
+            Elem(46,8,0.000050), Elem(49,0,0.003703), Elem(49,1,0.004938), Elem(49,2,0.007406), Elem(49,3,0.014813), Elem(49,4,1.481273), Elem(49,5,0.014813), Elem(49,6,0.007406),
+            Elem(49,7,0.004938), Elem(49,8,0.003703), Elem(54,0,0.001980), Elem(54,1,0.002475), Elem(54,2,0.003300), Elem(54,3,0.004950), Elem(54,4,0.009900), Elem(54,5,0.990000),
+            Elem(54,6,0.009900), Elem(54,7,0.004950), Elem(54,8,0.003300), Elem(58,0,0.001650), Elem(58,1,0.001980), Elem(58,2,0.002475), Elem(58,3,0.003300), Elem(58,4,0.004950),
+            Elem(58,5,0.009900), Elem(58,6,0.990000), Elem(58,7,0.009900), Elem(58,8,0.004950), Elem(61,0,0.001414), Elem(61,1,0.001650), Elem(61,2,0.001980), Elem(61,3,0.002475),
+            Elem(61,4,0.003300), Elem(61,5,0.004950), Elem(61,6,0.009900), Elem(61,7,0.990000), Elem(61,8,0.009900), Elem(66,0,0.014604), Elem(66,1,0.001548), Elem(66,2,0.001717),
+            Elem(66,3,0.002025), Elem(66,4,0.002508), Elem(66,5,0.003327), Elem(66,6,0.004972), Elem(66,7,0.009919), Elem(66,8,0.990017), Elem(73,1,0.000017), Elem(73,2,0.000020),
+            Elem(73,3,0.000025), Elem(73,4,0.000033), Elem(73,5,0.000050), Elem(73,6,0.000100), Elem(73,7,0.010000), Elem(73,8,0.000100), Elem(78,0,0.000079), Elem(78,1,0.000148),
+            Elem(78,2,0.013384), Elem(78,3,0.000154), Elem(78,4,0.000092), Elem(78,5,0.000078), Elem(78,6,0.000083), Elem(78,7,0.000127), Elem(78,8,0.010022), Elem(85,0,0.000104),
+            Elem(85,1,0.000150), Elem(85,2,0.000275), Elem(85,3,0.020150), Elem(85,4,0.015162), Elem(85,5,0.000250), Elem(85,6,0.000141), Elem(85,7,0.000100), Elem(85,8,0.000077),
+            Elem(90,0,0.000020), Elem(90,1,0.000025), Elem(90,2,0.000033), Elem(90,3,0.000050), Elem(90,4,0.000100), Elem(90,5,0.010000), Elem(90,6,0.000100), Elem(90,7,0.000050),
+            Elem(90,8,0.000033), },
+      { Elem(2,0,0.000075), Elem(2,1,0.000100), Elem(2,2,0.000150), Elem(2,3,0.000299), Elem(2,4,0.029925), Elem(2,5,0.000299), Elem(2,6,0.000150), Elem(2,7,0.000100),
+            Elem(2,8,0.000075), Elem(7,0,0.006723), Elem(7,1,0.000117), Elem(7,2,0.000100), Elem(7,3,0.000122), Elem(7,4,0.000217), Elem(7,5,0.020013), Elem(7,6,0.000211),
+            Elem(7,7,0.000110), Elem(7,8,0.000075), Elem(11,0,0.000033), Elem(11,1,0.000040), Elem(11,2,0.000050), Elem(11,3,0.000067), Elem(11,4,0.000100), Elem(11,5,0.000200),
+            Elem(11,6,0.020000), Elem(11,7,0.000200), Elem(11,8,0.000100), Elem(14,0,0.000029), Elem(14,1,0.000033), Elem(14,2,0.000040), Elem(14,3,0.000050), Elem(14,4,0.000067),
+            Elem(14,5,0.000100), Elem(14,6,0.000200), Elem(14,7,0.020000), Elem(14,8,0.000200), Elem(19,0,0.661686), Elem(19,1,0.006645), Elem(19,2,0.003342), Elem(19,3,0.002246),
+            Elem(19,4,0.001704), Elem(19,5,0.001390), Elem(19,6,0.001203), Elem(19,7,0.001145), Elem(19,8,0.020827), Elem(26,0,0.000100), Elem(26,1,0.010000), Elem(26,2,0.000100),
+            Elem(26,3,0.000050), Elem(26,4,0.000033), Elem(26,5,0.000025), Elem(26,6,0.000020), Elem(26,7,0.000017), Elem(31,0,0.003308), Elem(31,1,0.006617), Elem(31,2,0.661660),
+            Elem(31,3,0.006617), Elem(31,4,0.003308), Elem(31,5,0.002206), Elem(31,6,0.001654), Elem(31,7,0.001323), Elem(31,8,0.001103), Elem(36,0,0.000033), Elem(36,1,0.000050),
+            Elem(36,2,0.000100), Elem(36,3,0.010000), Elem(36,4,0.000100), Elem(36,5,0.000050), Elem(36,6,0.000033), Elem(36,7,0.000025), Elem(36,8,0.000020), Elem(38,0,0.009900),
+            Elem(38,1,0.990000), Elem(38,2,0.009900), Elem(38,3,0.004950), Elem(38,4,0.003300), Elem(38,5,0.002475), Elem(38,6,0.001980), Elem(38,7,0.001650), Elem(38,8,0.001414),
+            Elem(43,0,0.003320), Elem(43,1,0.004975), Elem(43,2,0.009933), Elem(43,3,0.990050), Elem(43,4,0.010000), Elem(43,5,0.014950), Elem(43,6,0.003400), Elem(43,7,0.002525),
+            Elem(43,8,0.002013), Elem(45,0,0.000100), Elem(45,1,0.010000), Elem(45,2,0.000100), Elem(45,3,0.000050), Elem(45,4,0.000033), Elem(45,5,0.000025), Elem(45,6,0.000020),
+            Elem(45,7,0.000017), Elem(47,0,0.000017), Elem(47,1,0.000020), Elem(47,2,0.000025), Elem(47,3,0.000033), Elem(47,4,0.000050), Elem(47,5,0.000100), Elem(47,6,0.010000),
+            Elem(47,7,0.000100), Elem(47,8,0.000050), Elem(50,0,0.003703), Elem(50,1,0.004938), Elem(50,2,0.007406), Elem(50,3,0.014813), Elem(50,4,1.481273), Elem(50,5,0.014813),
+            Elem(50,6,0.007406), Elem(50,7,0.004938), Elem(50,8,0.003703), Elem(55,0,0.002013), Elem(55,1,0.002525), Elem(55,2,0.003400), Elem(55,3,0.014950), Elem(55,4,0.010000),
+            Elem(55,5,0.990050), Elem(55,6,0.009933), Elem(55,7,0.004975), Elem(55,8,0.003320), Elem(59,0,0.001650), Elem(59,1,0.001980), Elem(59,2,0.002475), Elem(59,3,0.003300),
+            Elem(59,4,0.004950), Elem(59,5,0.009900), Elem(59,6,0.990000), Elem(59,7,0.009900), Elem(59,8,0.004950), Elem(62,0,0.001414), Elem(62,1,0.001650), Elem(62,2,0.001980),
+            Elem(62,3,0.002475), Elem(62,4,0.003300), Elem(62,5,0.004950), Elem(62,6,0.009900), Elem(62,7,0.990000), Elem(62,8,0.009900), Elem(67,0,0.014604), Elem(67,1,0.001548),
+            Elem(67,2,0.001717), Elem(67,3,0.002025), Elem(67,4,0.002508), Elem(67,5,0.003327), Elem(67,6,0.004972), Elem(67,7,0.009919), Elem(67,8,0.990017), Elem(74,1,0.000017),
+            Elem(74,2,0.000020), Elem(74,3,0.000025), Elem(74,4,0.000033), Elem(74,5,0.000050), Elem(74,6,0.000100), Elem(74,7,0.010000), Elem(74,8,0.000100), Elem(79,0,0.000079),
+            Elem(79,1,0.000148), Elem(79,2,0.013384), Elem(79,3,0.000154), Elem(79,4,0.000092), Elem(79,5,0.000078), Elem(79,6,0.000083), Elem(79,7,0.000127), Elem(79,8,0.010022),
+            Elem(86,0,0.000104), Elem(86,1,0.000167), Elem(86,2,0.006858), Elem(86,3,0.010216), Elem(86,4,0.015096), Elem(86,5,0.000222), Elem(86,6,0.000125), Elem(86,7,0.000088),
+            Elem(86,8,0.000069), },
+      { Elem(3,0,0.000050), Elem(3,1,0.000067), Elem(3,2,0.000100), Elem(3,3,0.000200), Elem(3,4,0.020000), Elem(3,5,0.000200), Elem(3,6,0.000100), Elem(3,7,0.000067),
+            Elem(3,8,0.000050), Elem(8,0,0.006723), Elem(8,1,0.000117), Elem(8,2,0.000100), Elem(8,3,0.000122), Elem(8,4,0.000217), Elem(8,5,0.020013), Elem(8,6,0.000211),
+            Elem(8,7,0.000110), Elem(8,8,0.000075), Elem(12,0,0.000033), Elem(12,1,0.000040), Elem(12,2,0.000050), Elem(12,3,0.000067), Elem(12,4,0.000100), Elem(12,5,0.000200),
+            Elem(12,6,0.020000), Elem(12,7,0.000200), Elem(12,8,0.000100), Elem(15,0,0.000029), Elem(15,1,0.000033), Elem(15,2,0.000040), Elem(15,3,0.000050), Elem(15,4,0.000067),
+            Elem(15,5,0.000100), Elem(15,6,0.000200), Elem(15,7,0.020000), Elem(15,8,0.000200), Elem(20,0,0.661686), Elem(20,1,0.006645), Elem(20,2,0.003342), Elem(20,3,0.002246),
+            Elem(20,4,0.001704), Elem(20,5,0.001390), Elem(20,6,0.001203), Elem(20,7,0.001145), Elem(20,8,0.020827), Elem(27,0,0.000100), Elem(27,1,0.010000), Elem(27,2,0.000100),
+            Elem(27,3,0.000050), Elem(27,4,0.000033), Elem(27,5,0.000025), Elem(27,6,0.000020), Elem(27,7,0.000017), Elem(32,0,0.003308), Elem(32,1,0.006617), Elem(32,2,0.661660),
+            Elem(32,3,0.006617), Elem(32,4,0.003308), Elem(32,5,0.002206), Elem(32,6,0.001654), Elem(32,7,0.001323), Elem(32,8,0.001103), Elem(33,0,0.000033), Elem(33,1,0.000050),
+            Elem(33,2,0.000100), Elem(33,3,0.010000), Elem(33,4,0.000100), Elem(33,5,0.000050), Elem(33,6,0.000033), Elem(33,7,0.000025), Elem(33,8,0.000020), Elem(39,0,0.009900),
+            Elem(39,1,0.990000), Elem(39,2,0.009900), Elem(39,3,0.004950), Elem(39,4,0.003300), Elem(39,5,0.002475), Elem(39,6,0.001980), Elem(39,7,0.001650), Elem(39,8,0.001414),
+            Elem(44,0,0.003320), Elem(44,1,0.004975), Elem(44,2,0.009933), Elem(44,3,0.990050), Elem(44,4,0.010000), Elem(44,5,0.014950), Elem(44,6,0.003400), Elem(44,7,0.002525),
+            Elem(44,8,0.002013), Elem(46,0,0.000100), Elem(46,1,0.010000), Elem(46,2,0.000100), Elem(46,3,0.000050), Elem(46,4,0.000033), Elem(46,5,0.000025), Elem(46,6,0.000020),
+            Elem(46,7,0.000017), Elem(51,0,0.002475), Elem(51,1,0.003300), Elem(51,2,0.004950), Elem(51,3,0.009900), Elem(51,4,0.990000), Elem(51,5,0.009900), Elem(51,6,0.004950),
+            Elem(51,7,0.003300), Elem(51,8,0.002475), Elem(56,0,0.002013), Elem(56,1,0.002525), Elem(56,2,0.003400), Elem(56,3,0.014950), Elem(56,4,0.010000), Elem(56,5,0.990050),
+            Elem(56,6,0.009933), Elem(56,7,0.004975), Elem(56,8,0.003320), Elem(60,0,0.001650), Elem(60,1,0.001980), Elem(60,2,0.002475), Elem(60,3,0.003300), Elem(60,4,0.004950),
+            Elem(60,5,0.009900), Elem(60,6,0.990000), Elem(60,7,0.009900), Elem(60,8,0.004950), Elem(63,0,0.001414), Elem(63,1,0.001650), Elem(63,2,0.001980), Elem(63,3,0.002475),
+            Elem(63,4,0.003300), Elem(63,5,0.004950), Elem(63,6,0.009900), Elem(63,7,0.990000), Elem(63,8,0.009900), Elem(68,0,0.014604), Elem(68,1,0.001548), Elem(68,2,0.001717),
+            Elem(68,3,0.002025), Elem(68,4,0.002508), Elem(68,5,0.003327), Elem(68,6,0.004972), Elem(68,7,0.009919), Elem(68,8,0.990017), Elem(72,0,0.000017), Elem(72,1,0.000020),
+            Elem(72,2,0.000025), Elem(72,3,0.000033), Elem(72,4,0.000050), Elem(72,5,0.000100), Elem(72,6,0.010000), Elem(72,7,0.000100), Elem(72,8,0.000050), Elem(75,1,0.000017),
+            Elem(75,2,0.000020), Elem(75,3,0.000025), Elem(75,4,0.000033), Elem(75,5,0.000050), Elem(75,6,0.000100), Elem(75,7,0.010000), Elem(75,8,0.000100), Elem(80,0,0.000079),
+            Elem(80,1,0.000148), Elem(80,2,0.013384), Elem(80,3,0.000154), Elem(80,4,0.000092), Elem(80,5,0.000078), Elem(80,6,0.000083), Elem(80,7,0.000127), Elem(80,8,0.010022),
+            Elem(87,0,0.000092), Elem(87,1,0.000150), Elem(87,2,0.006833), Elem(87,3,0.010167), Elem(87,4,0.010133), Elem(87,5,0.000172), Elem(87,6,0.000100), Elem(87,7,0.000072),
+            Elem(87,8,0.000056), },
+      { Elem(4,0,0.000050), Elem(4,1,0.000067), Elem(4,2,0.000100), Elem(4,3,0.000200), Elem(4,4,0.020000), Elem(4,5,0.000200), Elem(4,6,0.000100), Elem(4,7,0.000067),
+            Elem(4,8,0.000050), Elem(9,0,0.006723), Elem(9,1,0.000117), Elem(9,2,0.000100), Elem(9,3,0.000122), Elem(9,4,0.000217), Elem(9,5,0.020013), Elem(9,6,0.000211),
+            Elem(9,7,0.000110), Elem(9,8,0.000075), Elem(13,0,0.000033), Elem(13,1,0.000040), Elem(13,2,0.000050), Elem(13,3,0.000067), Elem(13,4,0.000100), Elem(13,5,0.000200),
+            Elem(13,6,0.020000), Elem(13,7,0.000200), Elem(13,8,0.000100), Elem(16,0,0.000029), Elem(16,1,0.000033), Elem(16,2,0.000040), Elem(16,3,0.000050), Elem(16,4,0.000067),
+            Elem(16,5,0.000100), Elem(16,6,0.000200), Elem(16,7,0.020000), Elem(16,8,0.000200), Elem(21,0,0.661686), Elem(21,1,0.006645), Elem(21,2,0.003342), Elem(21,3,0.002246),
+            Elem(21,4,0.001704), Elem(21,5,0.001390), Elem(21,6,0.001203), Elem(21,7,0.001145), Elem(21,8,0.020827), Elem(25,0,0.000033), Elem(25,1,0.000067), Elem(25,2,0.006683),
+            Elem(25,3,0.000067), Elem(25,4,0.000033), Elem(25,5,0.000022), Elem(25,6,0.000017), Elem(28,0,0.000100), Elem(28,1,0.010000), Elem(28,2,0.000100), Elem(28,3,0.000050),
+            Elem(28,4,0.000033), Elem(28,5,0.000025), Elem(28,6,0.000020), Elem(28,7,0.000017), Elem(33,0,0.003308), Elem(33,1,0.006617), Elem(33,2,0.661660), Elem(33,3,0.006617),
+            Elem(33,4,0.003308), Elem(33,5,0.002206), Elem(33,6,0.001654), Elem(33,7,0.001323), Elem(33,8,0.001103), Elem(38,0,0.000033), Elem(38,1,0.000050), Elem(38,2,0.000100),
+            Elem(38,3,0.010000), Elem(38,4,0.000100), Elem(38,5,0.000050), Elem(38,6,0.000033), Elem(38,7,0.000025), Elem(38,8,0.000020), Elem(40,0,0.009900), Elem(40,1,0.990000),
+            Elem(40,2,0.009900), Elem(40,3,0.004950), Elem(40,4,0.003300), Elem(40,5,0.002475), Elem(40,6,0.001980), Elem(40,7,0.001650), Elem(40,8,0.001414), Elem(44,0,0.000033),
+            Elem(44,1,0.000067), Elem(44,2,0.006683), Elem(44,3,0.000067), Elem(44,4,0.000033), Elem(44,5,0.000022), Elem(44,6,0.000017), Elem(45,0,0.003320), Elem(45,1,0.004975),
+            Elem(45,2,0.009933), Elem(45,3,0.990050), Elem(45,4,0.010000), Elem(45,5,0.014950), Elem(45,6,0.003400), Elem(45,7,0.002525), Elem(45,8,0.002013), Elem(47,0,0.000100),
+            Elem(47,1,0.010000), Elem(47,2,0.000100), Elem(47,3,0.000050), Elem(47,4,0.000033), Elem(47,5,0.000025), Elem(47,6,0.000020), Elem(47,7,0.000017), Elem(52,0,0.002475),
+            Elem(52,1,0.003300), Elem(52,2,0.004950), Elem(52,3,0.009900), Elem(52,4,0.990000), Elem(52,5,0.009900), Elem(52,6,0.004950), Elem(52,7,0.003300), Elem(52,8,0.002475),
+            Elem(57,0,0.002013), Elem(57,1,0.002525), Elem(57,2,0.003400), Elem(57,3,0.014950), Elem(57,4,0.010000), Elem(57,5,0.990050), Elem(57,6,0.009933), Elem(57,7,0.004975),
+            Elem(57,8,0.003320), Elem(61,0,0.001650), Elem(61,1,0.001980), Elem(61,2,0.002475), Elem(61,3,0.003300), Elem(61,4,0.004950), Elem(61,5,0.009900), Elem(61,6,0.990000),
+            Elem(61,7,0.009900), Elem(61,8,0.004950), Elem(64,0,0.001414), Elem(64,1,0.001650), Elem(64,2,0.001980), Elem(64,3,0.002475), Elem(64,4,0.003300), Elem(64,5,0.004950),
+            Elem(64,6,0.009900), Elem(64,7,0.990000), Elem(64,8,0.009900), Elem(69,0,0.014604), Elem(69,1,0.001548), Elem(69,2,0.001717), Elem(69,3,0.002025), Elem(69,4,0.002508),
+            Elem(69,5,0.003327), Elem(69,6,0.004972), Elem(69,7,0.009919), Elem(69,8,0.990017), Elem(73,0,0.000017), Elem(73,1,0.000020), Elem(73,2,0.000025), Elem(73,3,0.000033),
+            Elem(73,4,0.000050), Elem(73,5,0.000100), Elem(73,6,0.010000), Elem(73,7,0.000100), Elem(73,8,0.000050), Elem(76,1,0.000017), Elem(76,2,0.000020), Elem(76,3,0.000025),
+            Elem(76,4,0.000033), Elem(76,5,0.000050), Elem(76,6,0.000100), Elem(76,7,0.010000), Elem(76,8,0.000100), Elem(81,0,0.000046), Elem(81,1,0.000081), Elem(81,2,0.006700),
+            Elem(81,3,0.000087), Elem(81,4,0.000058), Elem(81,5,0.000056), Elem(81,6,0.000067), Elem(81,7,0.000113), Elem(81,8,0.010011), Elem(88,0,0.000058), Elem(88,1,0.000083),
+            Elem(88,2,0.000150), Elem(88,3,0.010100), Elem(88,4,0.010100), Elem(88,5,0.000150), Elem(88,6,0.000083), Elem(88,7,0.000058), Elem(88,8,0.000045), },
+      { Elem(5,0,0.000050), Elem(5,1,0.000067), Elem(5,2,0.000100), Elem(5,3,0.000200), Elem(5,4,0.020000), Elem(5,5,0.000200), Elem(5,6,0.000100), Elem(5,7,0.000067),
+            Elem(5,8,0.000050), Elem(10,0,0.006723), Elem(10,1,0.000117), Elem(10,2,0.000100), Elem(10,3,0.000122), Elem(10,4,0.000217), Elem(10,5,0.020013), Elem(10,6,0.000211),
+            Elem(10,7,0.000110), Elem(10,8,0.000075), Elem(14,0,0.000033), Elem(14,1,0.000040), Elem(14,2,0.000050), Elem(14,3,0.000067), Elem(14,4,0.000100), Elem(14,5,0.000200),
+            Elem(14,6,0.020000), Elem(14,7,0.000200), Elem(14,8,0.000100), Elem(17,0,0.000029), Elem(17,1,0.000033), Elem(17,2,0.000040), Elem(17,3,0.000050), Elem(17,4,0.000067),
+            Elem(17,5,0.000100), Elem(17,6,0.000200), Elem(17,7,0.020000), Elem(17,8,0.000200), Elem(22,0,0.661686), Elem(22,1,0.006645), Elem(22,2,0.003342), Elem(22,3,0.002246),
+            Elem(22,4,0.001704), Elem(22,5,0.001390), Elem(22,6,0.001203), Elem(22,7,0.001145), Elem(22,8,0.020827), Elem(29,0,0.000100), Elem(29,1,0.010000), Elem(29,2,0.000100),
+            Elem(29,3,0.000050), Elem(29,4,0.000033), Elem(29,5,0.000025), Elem(29,6,0.000020), Elem(29,7,0.000017), Elem(34,0,0.004950), Elem(34,1,0.009900), Elem(34,2,0.990000),
+            Elem(34,3,0.009900), Elem(34,4,0.004950), Elem(34,5,0.003300), Elem(34,6,0.002475), Elem(34,7,0.001980), Elem(34,8,0.001650), Elem(39,0,0.000033), Elem(39,1,0.000050),
+            Elem(39,2,0.000100), Elem(39,3,0.010000), Elem(39,4,0.000100), Elem(39,5,0.000050), Elem(39,6,0.000033), Elem(39,7,0.000025), Elem(39,8,0.000020), Elem(41,0,0.009900),
+            Elem(41,1,0.990000), Elem(41,2,0.009900), Elem(41,3,0.004950), Elem(41,4,0.003300), Elem(41,5,0.002475), Elem(41,6,0.001980), Elem(41,7,0.001650), Elem(41,8,0.001414),
+            Elem(46,0,0.003320), Elem(46,1,0.004975), Elem(46,2,0.009933), Elem(46,3,0.990050), Elem(46,4,0.010000), Elem(46,5,0.014950), Elem(46,6,0.003400), Elem(46,7,0.002525),
+            Elem(46,8,0.002013), Elem(53,0,0.002475), Elem(53,1,0.003300), Elem(53,2,0.004950), Elem(53,3,0.009900), Elem(53,4,0.990000), Elem(53,5,0.009900), Elem(53,6,0.004950),
+            Elem(53,7,0.003300), Elem(53,8,0.002475), Elem(58,0,0.002013), Elem(58,1,0.002525), Elem(58,2,0.003400), Elem(58,3,0.014950), Elem(58,4,0.010000), Elem(58,5,0.990050),
+            Elem(58,6,0.009933), Elem(58,7,0.004975), Elem(58,8,0.003320), Elem(62,0,0.001650), Elem(62,1,0.001980), Elem(62,2,0.002475), Elem(62,3,0.003300), Elem(62,4,0.004950),
+            Elem(62,5,0.009900), Elem(62,6,0.990000), Elem(62,7,0.009900), Elem(62,8,0.004950), Elem(65,0,0.001414), Elem(65,1,0.001650), Elem(65,2,0.001980), Elem(65,3,0.002475),
+            Elem(65,4,0.003300), Elem(65,5,0.004950), Elem(65,6,0.009900), Elem(65,7,0.990000), Elem(65,8,0.009900), Elem(70,0,0.014604), Elem(70,1,0.001548), Elem(70,2,0.001717),
+            Elem(70,3,0.002025), Elem(70,4,0.002508), Elem(70,5,0.003327), Elem(70,6,0.004972), Elem(70,7,0.009919), Elem(70,8,0.990017), Elem(74,0,0.000017), Elem(74,1,0.000020),
+            Elem(74,2,0.000025), Elem(74,3,0.000033), Elem(74,4,0.000050), Elem(74,5,0.000100), Elem(74,6,0.010000), Elem(74,7,0.000100), Elem(74,8,0.000050), Elem(75,1,0.000017),
+            Elem(75,2,0.000020), Elem(75,3,0.000025), Elem(75,4,0.000033), Elem(75,5,0.000050), Elem(75,6,0.000100), Elem(75,7,0.010000), Elem(75,8,0.000100), Elem(82,0,0.000112),
+            Elem(82,1,0.000214), Elem(82,2,0.020017), Elem(82,3,0.000220), Elem(82,4,0.000125), Elem(82,5,0.000100), Elem(82,6,0.000100), Elem(82,7,0.000140), Elem(82,8,0.010033),
+            Elem(84,0,0.000200), Elem(84,1,0.020000), Elem(84,2,0.000200), Elem(84,3,0.000100), Elem(84,4,0.000067), Elem(84,5,0.000050), Elem(84,6,0.000040), Elem(84,7,0.000033),
+            Elem(84,8,0.000029), Elem(89,0,0.000108), Elem(89,1,0.000183), Elem(89,2,0.010150), Elem(89,3,0.010200), Elem(89,4,0.010150), Elem(89,5,0.000183), Elem(89,6,0.000108),
+            Elem(89,7,0.000078), Elem(89,8,0.000062), },
+      { Elem(6,0,0.000050), Elem(6,1,0.000067), Elem(6,2,0.000100), Elem(6,3,0.000200), Elem(6,4,0.020000), Elem(6,5,0.000200), Elem(6,6,0.000100), Elem(6,7,0.000067),
+            Elem(6,8,0.000050), Elem(11,0,0.006723), Elem(11,1,0.000117), Elem(11,2,0.000100), Elem(11,3,0.000122), Elem(11,4,0.000217), Elem(11,5,0.020013), Elem(11,6,0.000211),
+            Elem(11,7,0.000110), Elem(11,8,0.000075), Elem(15,0,0.000033), Elem(15,1,0.000040), Elem(15,2,0.000050), Elem(15,3,0.000067), Elem(15,4,0.000100), Elem(15,5,0.000200),
+            Elem(15,6,0.020000), Elem(15,7,0.000200), Elem(15,8,0.000100), Elem(18,0,0.000029), Elem(18,1,0.000033), Elem(18,2,0.000040), Elem(18,3,0.000050), Elem(18,4,0.000067),
+            Elem(18,5,0.000100), Elem(18,6,0.000200), Elem(18,7,0.020000), Elem(18,8,0.000200), Elem(23,0,0.661686), Elem(23,1,0.006645), Elem(23,2,0.003342), Elem(23,3,0.002246),
+            Elem(23,4,0.001704), Elem(23,5,0.001390), Elem(23,6,0.001203), Elem(23,7,0.001145), Elem(23,8,0.020827), Elem(30,0,0.000100), Elem(30,1,0.010000), Elem(30,2,0.000100),
+            Elem(30,3,0.000050), Elem(30,4,0.000033), Elem(30,5,0.000025), Elem(30,6,0.000020), Elem(30,7,0.000017), Elem(35,0,0.004950), Elem(35,1,0.009900), Elem(35,2,0.990000),
+            Elem(35,3,0.009900), Elem(35,4,0.004950), Elem(35,5,0.003300), Elem(35,6,0.002475), Elem(35,7,0.001980), Elem(35,8,0.001650), Elem(40,0,0.000033), Elem(40,1,0.000050),
+            Elem(40,2,0.000100), Elem(40,3,0.010000), Elem(40,4,0.000100), Elem(40,5,0.000050), Elem(40,6,0.000033), Elem(40,7,0.000025), Elem(40,8,0.000020), Elem(42,0,0.009900),
+            Elem(42,1,0.990000), Elem(42,2,0.009900), Elem(42,3,0.004950), Elem(42,4,0.003300), Elem(42,5,0.002475), Elem(42,6,0.001980), Elem(42,7,0.001650), Elem(42,8,0.001414),
+            Elem(47,0,0.003320), Elem(47,1,0.004975), Elem(47,2,0.009933), Elem(47,3,0.990050), Elem(47,4,0.010000), Elem(47,5,0.014950), Elem(47,6,0.003400), Elem(47,7,0.002525),
+            Elem(47,8,0.002013), Elem(54,0,0.002475), Elem(54,1,0.003300), Elem(54,2,0.004950), Elem(54,3,0.009900), Elem(54,4,0.990000), Elem(54,5,0.009900), Elem(54,6,0.004950),
+            Elem(54,7,0.003300), Elem(54,8,0.002475), Elem(59,0,0.002013), Elem(59,1,0.002525), Elem(59,2,0.003400), Elem(59,3,0.014950), Elem(59,4,0.010000), Elem(59,5,0.990050),
+            Elem(59,6,0.009933), Elem(59,7,0.004975), Elem(59,8,0.003320), Elem(63,0,0.001650), Elem(63,1,0.001980), Elem(63,2,0.002475), Elem(63,3,0.003300), Elem(63,4,0.004950),
+            Elem(63,5,0.009900), Elem(63,6,0.990000), Elem(63,7,0.009900), Elem(63,8,0.004950), Elem(66,0,0.001414), Elem(66,1,0.001650), Elem(66,2,0.001980), Elem(66,3,0.002475),
+            Elem(66,4,0.003300), Elem(66,5,0.004950), Elem(66,6,0.009900), Elem(66,7,0.990000), Elem(66,8,0.009900), Elem(71,0,0.014604), Elem(71,1,0.001548), Elem(71,2,0.001717),
+            Elem(71,3,0.002025), Elem(71,4,0.002508), Elem(71,5,0.003327), Elem(71,6,0.004972), Elem(71,7,0.009919), Elem(71,8,0.990017), Elem(75,0,0.000017), Elem(75,1,0.000020),
+            Elem(75,2,0.000025), Elem(75,3,0.000033), Elem(75,4,0.000050), Elem(75,5,0.000100), Elem(75,6,0.010000), Elem(75,7,0.000100), Elem(75,8,0.000050), Elem(78,1,0.000017),
+            Elem(78,2,0.000020), Elem(78,3,0.000025), Elem(78,4,0.000033), Elem(78,5,0.000050), Elem(78,6,0.000100), Elem(78,7,0.010000), Elem(78,8,0.000100), Elem(83,0,0.000112),
+            Elem(83,1,0.000214), Elem(83,2,0.020017), Elem(83,3,0.000220), Elem(83,4,0.000125), Elem(83,5,0.000100), Elem(83,6,0.000100), Elem(83,7,0.000140), Elem(83,8,0.010033),
+            Elem(85,0,0.000200), Elem(85,1,0.020000), Elem(85,2,0.000200), Elem(85,3,0.000100), Elem(85,4,0.000067), Elem(85,5,0.000050), Elem(85,6,0.000040), Elem(85,7,0.000033),
+            Elem(85,8,0.000029), Elem(90,0,0.000108), Elem(90,1,0.000183), Elem(90,2,0.010150), Elem(90,3,0.010200), Elem(90,4,0.010150), Elem(90,5,0.000183), Elem(90,6,0.000108),
+            Elem(90,7,0.000078), Elem(90,8,0.000062), },
+      { Elem(0,0,0.000067), Elem(0,1,0.000100), Elem(0,2,0.000200), Elem(0,3,0.020000), Elem(0,4,0.000200), Elem(0,5,0.000100), Elem(0,6,0.000067), Elem(0,7,0.000050),
+            Elem(0,8,0.000040), Elem(7,0,0.000050), Elem(7,1,0.000067), Elem(7,2,0.000100), Elem(7,3,0.000200), Elem(7,4,0.020000), Elem(7,5,0.000200), Elem(7,6,0.000100),
+            Elem(7,7,0.000067), Elem(7,8,0.000050), Elem(12,0,0.000040), Elem(12,1,0.000050), Elem(12,2,0.000067), Elem(12,3,0.000100), Elem(12,4,0.000200), Elem(12,5,0.020000),
+            Elem(12,6,0.000200), Elem(12,7,0.000100), Elem(12,8,0.000067), Elem(16,0,0.000033), Elem(16,1,0.000040), Elem(16,2,0.000050), Elem(16,3,0.000067), Elem(16,4,0.000100),
+            Elem(16,5,0.000200), Elem(16,6,0.020000), Elem(16,7,0.000200), Elem(16,8,0.000100), Elem(19,0,0.000029), Elem(19,1,0.000033), Elem(19,2,0.000040), Elem(19,3,0.000050),
+            Elem(19,4,0.000067), Elem(19,5,0.000100), Elem(19,6,0.000200), Elem(19,7,0.020000), Elem(19,8,0.000200), Elem(24,0,0.990075), Elem(24,1,0.010029), Elem(24,2,0.014983),
+            Elem(24,3,0.003440), Elem(24,4,0.002575), Elem(24,5,0.002080), Elem(24,6,0.001775), Elem(24,7,0.001634), Elem(24,8,0.021254), Elem(36,0,0.015050), Elem(36,1,0.020000),
+            Elem(36,2,0.990150), Elem(36,3,0.009983), Elem(36,4,0.005008), Elem(36,5,0.003345), Elem(36,6,0.002512), Elem(36,7,0.002011), Elem(36,8,0.001677), Elem(43,0,0.009975),
+            Elem(43,1,0.990133), Elem(43,2,0.019950), Elem(43,3,0.005150), Elem(43,4,0.013350), Elem(43,5,0.002608), Elem(43,6,0.002055), Elem(43,7,0.001703), Elem(43,8,0.001456),
+            Elem(48,0,0.003300), Elem(48,1,0.004950), Elem(48,2,0.009900), Elem(48,3,0.990000), Elem(48,4,0.009900), Elem(48,5,0.004950), Elem(48,6,0.003300), Elem(48,7,0.002475),
+            Elem(48,8,0.001980), Elem(55,0,0.002575), Elem(55,1,0.013300), Elem(55,2,0.005050), Elem(55,3,0.009950), Elem(55,4,0.990033), Elem(55,5,0.009925), Elem(55,6,0.004970),
+            Elem(55,7,0.003317), Elem(55,8,0.002489), Elem(60,0,0.001993), Elem(60,1,0.002489), Elem(60,2,0.003317), Elem(60,3,0.004970), Elem(60,4,0.009925), Elem(60,5,0.990033),
+            Elem(60,6,0.009950), Elem(60,7,0.005050), Elem(60,8,0.013300), Elem(64,0,0.001650), Elem(64,1,0.001980), Elem(64,2,0.002475), Elem(64,3,0.003300), Elem(64,4,0.004950),
+            Elem(64,5,0.009900), Elem(64,6,0.990000), Elem(64,7,0.009900), Elem(64,8,0.004950), Elem(67,0,0.001414), Elem(67,1,0.001650), Elem(67,2,0.001980), Elem(67,3,0.002475),
+            Elem(67,4,0.003300), Elem(67,5,0.004950), Elem(67,6,0.009900), Elem(67,7,0.990000), Elem(67,8,0.009900), Elem(72,0,0.021257), Elem(72,1,0.001639), Elem(72,2,0.001783),
+            Elem(72,3,0.002097), Elem(72,4,0.002625), Elem(72,5,0.013340), Elem(72,6,0.005083), Elem(72,7,0.009979), Elem(72,8,0.990058), Elem(76,0,0.000017), Elem(76,1,0.000020),
+            Elem(76,2,0.000025), Elem(76,3,0.000033), Elem(76,4,0.000050), Elem(76,5,0.000100), Elem(76,6,0.010000), Elem(76,7,0.000100), Elem(76,8,0.000050), Elem(79,1,0.000017),
+            Elem(79,2,0.000020), Elem(79,3,0.000025), Elem(79,4,0.000033), Elem(79,5,0.000050), Elem(79,6,0.000100), Elem(79,7,0.010000), Elem(79,8,0.000100), Elem(86,0,0.000100),
+            Elem(86,1,0.010000), Elem(86,2,0.000100), Elem(86,3,0.000050), Elem(86,4,0.000033), Elem(86,5,0.000025), Elem(86,6,0.000020), Elem(86,7,0.000017), },
+      { Elem(1,0,0.000067), Elem(1,1,0.000100), Elem(1,2,0.000200), Elem(1,3,0.020000), Elem(1,4,0.000200), Elem(1,5,0.000100), Elem(1,6,0.000067), Elem(1,7,0.000050),
+            Elem(1,8,0.000040), Elem(8,0,0.000050), Elem(8,1,0.000067), Elem(8,2,0.000100), Elem(8,3,0.000200), Elem(8,4,0.020000), Elem(8,5,0.000200), Elem(8,6,0.000100),
+            Elem(8,7,0.000067), Elem(8,8,0.000050), Elem(13,0,0.000040), Elem(13,1,0.000050), Elem(13,2,0.000067), Elem(13,3,0.000100), Elem(13,4,0.000200), Elem(13,5,0.020000),
+            Elem(13,6,0.000200), Elem(13,7,0.000100), Elem(13,8,0.000067), Elem(17,0,0.000033), Elem(17,1,0.000040), Elem(17,2,0.000050), Elem(17,3,0.000067), Elem(17,4,0.000100),
+            Elem(17,5,0.000200), Elem(17,6,0.020000), Elem(17,7,0.000200), Elem(17,8,0.000100), Elem(20,0,0.000029), Elem(20,1,0.000033), Elem(20,2,0.000040), Elem(20,3,0.000050),
+            Elem(20,4,0.000067), Elem(20,5,0.000100), Elem(20,6,0.000200), Elem(20,7,0.020000), Elem(20,8,0.000200), Elem(25,0,0.990025), Elem(25,1,0.009929), Elem(25,2,0.004983),
+            Elem(25,3,0.003340), Elem(25,4,0.002525), Elem(25,5,0.002047), Elem(25,6,0.001750), Elem(25,7,0.001614), Elem(25,8,0.021238), Elem(33,0,0.010100), Elem(33,1,0.010100),
+            Elem(33,2,0.000150), Elem(33,3,0.000083), Elem(33,4,0.000058), Elem(33,5,0.000045), Elem(33,6,0.000037), Elem(33,7,0.000031), Elem(33,8,0.000027), Elem(37,0,0.004950),
+            Elem(37,1,0.009900), Elem(37,2,0.990000), Elem(37,3,0.009900), Elem(37,4,0.004950), Elem(37,5,0.003300), Elem(37,6,0.002475), Elem(37,7,0.001980), Elem(37,8,0.001650),
+            Elem(44,0,0.009925), Elem(44,1,0.990033), Elem(44,2,0.009950), Elem(44,3,0.005050), Elem(44,4,0.013300), Elem(44,5,0.002575), Elem(44,6,0.002030), Elem(44,7,0.001683),
+            Elem(44,8,0.001439), Elem(49,0,0.003300), Elem(49,1,0.004950), Elem(49,2,0.009900), Elem(49,3,0.990000), Elem(49,4,0.009900), Elem(49,5,0.004950), Elem(49,6,0.003300),
+            Elem(49,7,0.002475), Elem(49,8,0.001980), Elem(56,0,0.002575), Elem(56,1,0.013300), Elem(56,2,0.005050), Elem(56,3,0.009950), Elem(56,4,0.990033), Elem(56,5,0.009925),
+            Elem(56,6,0.004970), Elem(56,7,0.003317), Elem(56,8,0.002489), Elem(61,0,0.001993), Elem(61,1,0.002489), Elem(61,2,0.003317), Elem(61,3,0.004970), Elem(61,4,0.009925),
+            Elem(61,5,0.990033), Elem(61,6,0.009950), Elem(61,7,0.005050), Elem(61,8,0.013300), Elem(65,0,0.001650), Elem(65,1,0.001980), Elem(65,2,0.002475), Elem(65,3,0.003300),
+            Elem(65,4,0.004950), Elem(65,5,0.009900), Elem(65,6,0.990000), Elem(65,7,0.009900), Elem(65,8,0.004950), Elem(68,0,0.001414), Elem(68,1,0.001650), Elem(68,2,0.001980),
+            Elem(68,3,0.002475), Elem(68,4,0.003300), Elem(68,5,0.004950), Elem(68,6,0.009900), Elem(68,7,0.990000), Elem(68,8,0.009900), Elem(73,0,0.021257), Elem(73,1,0.001639),
+            Elem(73,2,0.001783), Elem(73,3,0.002097), Elem(73,4,0.002625), Elem(73,5,0.013340), Elem(73,6,0.005083), Elem(73,7,0.009979), Elem(73,8,0.990058), Elem(75,0,0.000017),
+            Elem(75,1,0.000020), Elem(75,2,0.000025), Elem(75,3,0.000033), Elem(75,4,0.000050), Elem(75,5,0.000100), Elem(75,6,0.010000), Elem(75,7,0.000100), Elem(75,8,0.000050),
+            Elem(80,1,0.000017), Elem(80,2,0.000020), Elem(80,3,0.000025), Elem(80,4,0.000033), Elem(80,5,0.000050), Elem(80,6,0.000100), Elem(80,7,0.010000), Elem(80,8,0.000100),
+            Elem(85,0,0.000033), Elem(85,1,0.000050), Elem(85,2,0.000100), Elem(85,3,0.010000), Elem(85,4,0.000100), Elem(85,5,0.000050), Elem(85,6,0.000033), Elem(85,7,0.000025),
+            Elem(85,8,0.000020), Elem(87,0,0.000100), Elem(87,1,0.010000), Elem(87,2,0.000100), Elem(87,3,0.000050), Elem(87,4,0.000033), Elem(87,5,0.000025), Elem(87,6,0.000020),
+            Elem(87,7,0.000017), },
+      { Elem(2,0,0.000067), Elem(2,1,0.000100), Elem(2,2,0.000200), Elem(2,3,0.020000), Elem(2,4,0.000200), Elem(2,5,0.000100), Elem(2,6,0.000067), Elem(2,7,0.000050),
+            Elem(2,8,0.000040), Elem(9,0,0.000050), Elem(9,1,0.000067), Elem(9,2,0.000100), Elem(9,3,0.000200), Elem(9,4,0.020000), Elem(9,5,0.000200), Elem(9,6,0.000100),
+            Elem(9,7,0.000067), Elem(9,8,0.000050), Elem(14,0,0.000040), Elem(14,1,0.000050), Elem(14,2,0.000067), Elem(14,3,0.000100), Elem(14,4,0.000200), Elem(14,5,0.020000),
+            Elem(14,6,0.000200), Elem(14,7,0.000100), Elem(14,8,0.000067), Elem(18,0,0.000033), Elem(18,1,0.000040), Elem(18,2,0.000050), Elem(18,3,0.000067), Elem(18,4,0.000100),
+            Elem(18,5,0.000200), Elem(18,6,0.020000), Elem(18,7,0.000200), Elem(18,8,0.000100), Elem(21,0,0.000029), Elem(21,1,0.000033), Elem(21,2,0.000040), Elem(21,3,0.000050),
+            Elem(21,4,0.000067), Elem(21,5,0.000100), Elem(21,6,0.000200), Elem(21,7,0.020000), Elem(21,8,0.000200), Elem(26,0,0.990075), Elem(26,1,0.010029), Elem(26,2,0.014983),
+            Elem(26,3,0.003440), Elem(26,4,0.002575), Elem(26,5,0.002080), Elem(26,6,0.001775), Elem(26,7,0.001634), Elem(26,8,0.021254), Elem(38,0,0.015050), Elem(38,1,0.020000),
+            Elem(38,2,0.990150), Elem(38,3,0.009983), Elem(38,4,0.005008), Elem(38,5,0.003345), Elem(38,6,0.002512), Elem(38,7,0.002011), Elem(38,8,0.001677), Elem(45,0,0.009975),
+            Elem(45,1,0.990133), Elem(45,2,0.019950), Elem(45,3,0.005150), Elem(45,4,0.013350), Elem(45,5,0.002608), Elem(45,6,0.002055), Elem(45,7,0.001703), Elem(45,8,0.001456),
+            Elem(50,0,0.003300), Elem(50,1,0.004950), Elem(50,2,0.009900), Elem(50,3,0.990000), Elem(50,4,0.009900), Elem(50,5,0.004950), Elem(50,6,0.003300), Elem(50,7,0.002475),
+            Elem(50,8,0.001980), Elem(57,0,0.002575), Elem(57,1,0.013300), Elem(57,2,0.005050), Elem(57,3,0.009950), Elem(57,4,0.990033), Elem(57,5,0.009925), Elem(57,6,0.004970),
+            Elem(57,7,0.003317), Elem(57,8,0.002489), Elem(62,0,0.001993), Elem(62,1,0.002489), Elem(62,2,0.003317), Elem(62,3,0.004970), Elem(62,4,0.009925), Elem(62,5,0.990033),
+            Elem(62,6,0.009950), Elem(62,7,0.005050), Elem(62,8,0.013300), Elem(66,0,0.001650), Elem(66,1,0.001980), Elem(66,2,0.002475), Elem(66,3,0.003300), Elem(66,4,0.004950),
+            Elem(66,5,0.009900), Elem(66,6,0.990000), Elem(66,7,0.009900), Elem(66,8,0.004950), Elem(69,0,0.001414), Elem(69,1,0.001650), Elem(69,2,0.001980), Elem(69,3,0.002475),
+            Elem(69,4,0.003300), Elem(69,5,0.004950), Elem(69,6,0.009900), Elem(69,7,0.990000), Elem(69,8,0.009900), Elem(74,0,0.021257), Elem(74,1,0.001639), Elem(74,2,0.001783),
+            Elem(74,3,0.002097), Elem(74,4,0.002625), Elem(74,5,0.013340), Elem(74,6,0.005083), Elem(74,7,0.009979), Elem(74,8,0.990058), Elem(78,0,0.000017), Elem(78,1,0.000020),
+            Elem(78,2,0.000025), Elem(78,3,0.000033), Elem(78,4,0.000050), Elem(78,5,0.000100), Elem(78,6,0.010000), Elem(78,7,0.000100), Elem(78,8,0.000050), Elem(81,1,0.000017),
+            Elem(81,2,0.000020), Elem(81,3,0.000025), Elem(81,4,0.000033), Elem(81,5,0.000050), Elem(81,6,0.000100), Elem(81,7,0.010000), Elem(81,8,0.000100), Elem(86,0,0.000033),
+            Elem(86,1,0.000050), Elem(86,2,0.000100), Elem(86,3,0.010000), Elem(86,4,0.000100), Elem(86,5,0.000050), Elem(86,6,0.000033), Elem(86,7,0.000025), Elem(86,8,0.000020),
+            Elem(88,0,0.000100), Elem(88,1,0.010000), Elem(88,2,0.000100), Elem(88,3,0.000050), Elem(88,4,0.000033), Elem(88,5,0.000025), Elem(88,6,0.000020), Elem(88,7,0.000017),
+            },
+      { Elem(3,0,0.000067), Elem(3,1,0.000100), Elem(3,2,0.000200), Elem(3,3,0.020000), Elem(3,4,0.000200), Elem(3,5,0.000100), Elem(3,6,0.000067), Elem(3,7,0.000050),
+            Elem(3,8,0.000040), Elem(10,0,0.000050), Elem(10,1,0.000067), Elem(10,2,0.000100), Elem(10,3,0.000200), Elem(10,4,0.020000), Elem(10,5,0.000200), Elem(10,6,0.000100),
+            Elem(10,7,0.000067), Elem(10,8,0.000050), Elem(15,0,0.000040), Elem(15,1,0.000050), Elem(15,2,0.000067), Elem(15,3,0.000100), Elem(15,4,0.000200), Elem(15,5,0.020000),
+            Elem(15,6,0.000200), Elem(15,7,0.000100), Elem(15,8,0.000067), Elem(19,0,0.000033), Elem(19,1,0.000040), Elem(19,2,0.000050), Elem(19,3,0.000067), Elem(19,4,0.000100),
+            Elem(19,5,0.000200), Elem(19,6,0.020000), Elem(19,7,0.000200), Elem(19,8,0.000100), Elem(22,0,0.000029), Elem(22,1,0.000033), Elem(22,2,0.000040), Elem(22,3,0.000050),
+            Elem(22,4,0.000067), Elem(22,5,0.000100), Elem(22,6,0.000200), Elem(22,7,0.020000), Elem(22,8,0.000200), Elem(27,0,0.990063), Elem(27,1,0.010014), Elem(27,2,0.014967),
+            Elem(27,3,0.003420), Elem(27,4,0.002550), Elem(27,5,0.002047), Elem(27,6,0.001725), Elem(27,7,0.001534), Elem(27,8,0.011254), Elem(29,2,0.000017), Elem(29,3,0.000020),
+            Elem(29,4,0.000025), Elem(29,5,0.000033), Elem(29,6,0.000050), Elem(29,7,0.000100), Elem(29,8,0.010000), Elem(39,0,0.015050), Elem(39,1,0.020000), Elem(39,2,0.990150),
+            Elem(39,3,0.009983), Elem(39,4,0.005008), Elem(39,5,0.003345), Elem(39,6,0.002512), Elem(39,7,0.002011), Elem(39,8,0.001677), Elem(46,0,0.009975), Elem(46,1,0.990133),
+            Elem(46,2,0.019950), Elem(46,3,0.005150), Elem(46,4,0.013350), Elem(46,5,0.002608), Elem(46,6,0.002055), Elem(46,7,0.001703), Elem(46,8,0.001456), Elem(51,0,0.003300),
+            Elem(51,1,0.004950), Elem(51,2,0.009900), Elem(51,3,0.990000), Elem(51,4,0.009900), Elem(51,5,0.004950), Elem(51,6,0.003300), Elem(51,7,0.002475), Elem(51,8,0.001980),
+            Elem(58,0,0.002575), Elem(58,1,0.013300), Elem(58,2,0.005050), Elem(58,3,0.009950), Elem(58,4,0.990033), Elem(58,5,0.009925), Elem(58,6,0.004970), Elem(58,7,0.003317),
+            Elem(58,8,0.002489), Elem(63,0,0.001980), Elem(63,1,0.002475), Elem(63,2,0.003300), Elem(63,3,0.004950), Elem(63,4,0.009900), Elem(63,5,0.990000), Elem(63,6,0.009900),
+            Elem(63,7,0.004950), Elem(63,8,0.003300), Elem(65,2,0.000017), Elem(65,3,0.000020), Elem(65,4,0.000025), Elem(65,5,0.000033), Elem(65,6,0.000050), Elem(65,7,0.000100),
+            Elem(65,8,0.010000), Elem(67,0,0.001650), Elem(67,1,0.001980), Elem(67,2,0.002475), Elem(67,3,0.003300), Elem(67,4,0.004950), Elem(67,5,0.009900), Elem(67,6,0.990000),
+            Elem(67,7,0.009900), Elem(67,8,0.004950), Elem(70,0,0.001414), Elem(70,1,0.001650), Elem(70,2,0.001980), Elem(70,3,0.002475), Elem(70,4,0.003300), Elem(70,5,0.004950),
+            Elem(70,6,0.009900), Elem(70,7,0.990000), Elem(70,8,0.009900), Elem(75,0,0.021257), Elem(75,1,0.001639), Elem(75,2,0.001783), Elem(75,3,0.002097), Elem(75,4,0.002625),
+            Elem(75,5,0.013340), Elem(75,6,0.005083), Elem(75,7,0.009979), Elem(75,8,0.990058), Elem(79,0,0.000017), Elem(79,1,0.000020), Elem(79,2,0.000025), Elem(79,3,0.000033),
+            Elem(79,4,0.000050), Elem(79,5,0.000100), Elem(79,6,0.010000), Elem(79,7,0.000100), Elem(79,8,0.000050), Elem(82,1,0.000017), Elem(82,2,0.000020), Elem(82,3,0.000025),
+            Elem(82,4,0.000033), Elem(82,5,0.000050), Elem(82,6,0.000100), Elem(82,7,0.010000), Elem(82,8,0.000100), Elem(87,0,0.000033), Elem(87,1,0.000050), Elem(87,2,0.000100),
+            Elem(87,3,0.010000), Elem(87,4,0.000100), Elem(87,5,0.000050), Elem(87,6,0.000033), Elem(87,7,0.000025), Elem(87,8,0.000020), Elem(89,0,0.000100), Elem(89,1,0.010000),
+            Elem(89,2,0.000100), Elem(89,3,0.000050), Elem(89,4,0.000033), Elem(89,5,0.000025), Elem(89,6,0.000020), Elem(89,7,0.000017), },
+      { Elem(4,0,0.000067), Elem(4,1,0.000100), Elem(4,2,0.000200), Elem(4,3,0.020000), Elem(4,4,0.000200), Elem(4,5,0.000100), Elem(4,6,0.000067), Elem(4,7,0.000050),
+            Elem(4,8,0.000040), Elem(11,0,0.000050), Elem(11,1,0.000067), Elem(11,2,0.000100), Elem(11,3,0.000200), Elem(11,4,0.020000), Elem(11,5,0.000200), Elem(11,6,0.000100),
+            Elem(11,7,0.000067), Elem(11,8,0.000050), Elem(16,0,0.000040), Elem(16,1,0.000050), Elem(16,2,0.000067), Elem(16,3,0.000100), Elem(16,4,0.000200), Elem(16,5,0.020000),
+            Elem(16,6,0.000200), Elem(16,7,0.000100), Elem(16,8,0.000067), Elem(20,0,0.000033), Elem(20,1,0.000040), Elem(20,2,0.000050), Elem(20,3,0.000067), Elem(20,4,0.000100),
+            Elem(20,5,0.000200), Elem(20,6,0.020000), Elem(20,7,0.000200), Elem(20,8,0.000100), Elem(23,0,0.000029), Elem(23,1,0.000033), Elem(23,2,0.000040), Elem(23,3,0.000050),
+            Elem(23,4,0.000067), Elem(23,5,0.000100), Elem(23,6,0.000200), Elem(23,7,0.020000), Elem(23,8,0.000200), Elem(28,0,0.990075), Elem(28,1,0.010029), Elem(28,2,0.014983),
+            Elem(28,3,0.003440), Elem(28,4,0.002575), Elem(28,5,0.002080), Elem(28,6,0.001775), Elem(28,7,0.001634), Elem(28,8,0.021254), Elem(40,0,0.015050), Elem(40,1,0.020000),
+            Elem(40,2,0.990150), Elem(40,3,0.009983), Elem(40,4,0.005008), Elem(40,5,0.003345), Elem(40,6,0.002512), Elem(40,7,0.002011), Elem(40,8,0.001677), Elem(47,0,0.009975),
+            Elem(47,1,0.990133), Elem(47,2,0.019950), Elem(47,3,0.005150), Elem(47,4,0.013350), Elem(47,5,0.002608), Elem(47,6,0.002055), Elem(47,7,0.001703), Elem(47,8,0.001456),
+            Elem(52,0,0.003300), Elem(52,1,0.004950), Elem(52,2,0.009900), Elem(52,3,0.990000), Elem(52,4,0.009900), Elem(52,5,0.004950), Elem(52,6,0.003300), Elem(52,7,0.002475),
+            Elem(52,8,0.001980), Elem(59,0,0.002575), Elem(59,1,0.013300), Elem(59,2,0.005050), Elem(59,3,0.009950), Elem(59,4,0.990033), Elem(59,5,0.009925), Elem(59,6,0.004970),
+            Elem(59,7,0.003317), Elem(59,8,0.002489), Elem(64,0,0.001993), Elem(64,1,0.002489), Elem(64,2,0.003317), Elem(64,3,0.004970), Elem(64,4,0.009925), Elem(64,5,0.990033),
+            Elem(64,6,0.009950), Elem(64,7,0.005050), Elem(64,8,0.013300), Elem(68,0,0.001650), Elem(68,1,0.001980), Elem(68,2,0.002475), Elem(68,3,0.003300), Elem(68,4,0.004950),
+            Elem(68,5,0.009900), Elem(68,6,0.990000), Elem(68,7,0.009900), Elem(68,8,0.004950), Elem(71,0,0.001414), Elem(71,1,0.001650), Elem(71,2,0.001980), Elem(71,3,0.002475),
+            Elem(71,4,0.003300), Elem(71,5,0.004950), Elem(71,6,0.009900), Elem(71,7,0.990000), Elem(71,8,0.009900), Elem(76,0,0.021257), Elem(76,1,0.001639), Elem(76,2,0.001783),
+            Elem(76,3,0.002097), Elem(76,4,0.002625), Elem(76,5,0.013340), Elem(76,6,0.005083), Elem(76,7,0.009979), Elem(76,8,0.990058), Elem(80,0,0.000017), Elem(80,1,0.000020),
+            Elem(80,2,0.000025), Elem(80,3,0.000033), Elem(80,4,0.000050), Elem(80,5,0.000100), Elem(80,6,0.010000), Elem(80,7,0.000100), Elem(80,8,0.000050), Elem(83,1,0.000017),
+            Elem(83,2,0.000020), Elem(83,3,0.000025), Elem(83,4,0.000033), Elem(83,5,0.000050), Elem(83,6,0.000100), Elem(83,7,0.010000), Elem(83,8,0.000100), Elem(88,0,0.000033),
+            Elem(88,1,0.000050), Elem(88,2,0.000100), Elem(88,3,0.010000), Elem(88,4,0.000100), Elem(88,5,0.000050), Elem(88,6,0.000033), Elem(88,7,0.000025), Elem(88,8,0.000020),
+            Elem(90,0,0.000100), Elem(90,1,0.010000), Elem(90,2,0.000100), Elem(90,3,0.000050), Elem(90,4,0.000033), Elem(90,5,0.000025), Elem(90,6,0.000020), Elem(90,7,0.000017),
+            },
+      { Elem(0,0,0.000200), Elem(0,1,0.020000), Elem(0,2,0.000200), Elem(0,3,0.000100), Elem(0,4,0.000067), Elem(0,5,0.000050), Elem(0,6,0.000040), Elem(0,7,0.000033),
+            Elem(0,8,0.000029), Elem(5,0,0.000067), Elem(5,1,0.000100), Elem(5,2,0.000200), Elem(5,3,0.020000), Elem(5,4,0.000200), Elem(5,5,0.000100), Elem(5,6,0.000067),
+            Elem(5,7,0.000050), Elem(5,8,0.000040), Elem(12,0,0.000050), Elem(12,1,0.000067), Elem(12,2,0.000100), Elem(12,3,0.000200), Elem(12,4,0.020000), Elem(12,5,0.000200),
+            Elem(12,6,0.000100), Elem(12,7,0.000067), Elem(12,8,0.000050), Elem(17,0,0.000040), Elem(17,1,0.000050), Elem(17,2,0.000067), Elem(17,3,0.000100), Elem(17,4,0.000200),
+            Elem(17,5,0.020000), Elem(17,6,0.000200), Elem(17,7,0.000100), Elem(17,8,0.000067), Elem(21,0,0.000033), Elem(21,1,0.000040), Elem(21,2,0.000050), Elem(21,3,0.000067),
+            Elem(21,4,0.000100), Elem(21,5,0.000200), Elem(21,6,0.020000), Elem(21,7,0.000200), Elem(21,8,0.000100), Elem(24,0,0.000029), Elem(24,1,0.000033), Elem(24,2,0.000040),
+            Elem(24,3,0.000050), Elem(24,4,0.000067), Elem(24,5,0.000100), Elem(24,6,0.000200), Elem(24,7,0.020000), Elem(24,8,0.000200), Elem(29,0,0.990063), Elem(29,1,0.010014),
+            Elem(29,2,0.014967), Elem(29,3,0.003420), Elem(29,4,0.002550), Elem(29,5,0.002047), Elem(29,6,0.001725), Elem(29,7,0.001534), Elem(29,8,0.011254), Elem(41,0,0.014950),
+            Elem(41,1,0.010000), Elem(41,2,0.990050), Elem(41,3,0.009933), Elem(41,4,0.004975), Elem(41,5,0.003320), Elem(41,6,0.002492), Elem(41,7,0.001994), Elem(41,8,0.001663),
+            Elem(48,0,0.009900), Elem(48,1,0.990000), Elem(48,2,0.009900), Elem(48,3,0.004950), Elem(48,4,0.003300), Elem(48,5,0.002475), Elem(48,6,0.001980), Elem(48,7,0.001650),
+            Elem(48,8,0.001414), Elem(53,0,0.003300), Elem(53,1,0.004950), Elem(53,2,0.009900), Elem(53,3,0.990000), Elem(53,4,0.009900), Elem(53,5,0.004950), Elem(53,6,0.003300),
+            Elem(53,7,0.002475), Elem(53,8,0.001980), Elem(60,0,0.002489), Elem(60,1,0.003317), Elem(60,2,0.004970), Elem(60,3,0.009925), Elem(60,4,0.990033), Elem(60,5,0.009950),
+            Elem(60,6,0.005050), Elem(60,7,0.013300), Elem(60,8,0.002575), Elem(65,0,0.001980), Elem(65,1,0.002475), Elem(65,2,0.003300), Elem(65,3,0.004950), Elem(65,4,0.009900),
+            Elem(65,5,0.990000), Elem(65,6,0.009900), Elem(65,7,0.004950), Elem(65,8,0.003300), Elem(69,0,0.001650), Elem(69,1,0.001980), Elem(69,2,0.002475), Elem(69,3,0.003300),
+            Elem(69,4,0.004950), Elem(69,5,0.009900), Elem(69,6,0.990000), Elem(69,7,0.009900), Elem(69,8,0.004950), Elem(72,0,0.001439), Elem(72,1,0.001683), Elem(72,2,0.002030),
+            Elem(72,3,0.002575), Elem(72,4,0.013300), Elem(72,5,0.005050), Elem(72,6,0.009950), Elem(72,7,0.990033), Elem(72,8,0.009925), Elem(75,0,0.010020), Elem(75,1,0.000125),
+            Elem(75,2,0.000083), Elem(75,3,0.000083), Elem(75,4,0.000125), Elem(75,5,0.010020), Elem(75,6,0.000117), Elem(75,7,0.000064), Elem(75,8,0.000046), Elem(77,0,0.011237),
+            Elem(77,1,0.001514), Elem(77,2,0.001700), Elem(77,3,0.002013), Elem(77,4,0.002500), Elem(77,5,0.003320), Elem(77,6,0.004967), Elem(77,7,0.009914), Elem(77,8,0.990013),
+            Elem(81,0,0.000017), Elem(81,1,0.000020), Elem(81,2,0.000025), Elem(81,3,0.000033), Elem(81,4,0.000050), Elem(81,5,0.000100), Elem(81,6,0.010000), Elem(81,7,0.000100),
+            Elem(81,8,0.000050), Elem(84,0,0.000100), Elem(84,1,0.000200), Elem(84,2,0.020000), Elem(84,3,0.000200), Elem(84,4,0.000100), Elem(84,5,0.000067), Elem(84,6,0.000050),
+            Elem(84,7,0.000040), Elem(84,8,0.000033), Elem(89,0,0.000033), Elem(89,1,0.000050), Elem(89,2,0.000100), Elem(89,3,0.010000), Elem(89,4,0.000100), Elem(89,5,0.000050),
+            Elem(89,6,0.000033), Elem(89,7,0.000025), Elem(89,8,0.000020), },
+      { Elem(1,0,0.000200), Elem(1,1,0.020000), Elem(1,2,0.000200), Elem(1,3,0.000100), Elem(1,4,0.000067), Elem(1,5,0.000050), Elem(1,6,0.000040), Elem(1,7,0.000033),
+            Elem(1,8,0.000029), Elem(6,0,0.000067), Elem(6,1,0.000100), Elem(6,2,0.000200), Elem(6,3,0.020000), Elem(6,4,0.000200), Elem(6,5,0.000100), Elem(6,6,0.000067),
+            Elem(6,7,0.000050), Elem(6,8,0.000040), Elem(13,0,0.000050), Elem(13,1,0.000067), Elem(13,2,0.000100), Elem(13,3,0.000200), Elem(13,4,0.020000), Elem(13,5,0.000200),
+            Elem(13,6,0.000100), Elem(13,7,0.000067), Elem(13,8,0.000050), Elem(18,0,0.000040), Elem(18,1,0.000050), Elem(18,2,0.000067), Elem(18,3,0.000100), Elem(18,4,0.000200),
+            Elem(18,5,0.020000), Elem(18,6,0.000200), Elem(18,7,0.000100), Elem(18,8,0.000067), Elem(22,0,0.000033), Elem(22,1,0.000040), Elem(22,2,0.000050), Elem(22,3,0.000067),
+            Elem(22,4,0.000100), Elem(22,5,0.000200), Elem(22,6,0.020000), Elem(22,7,0.000200), Elem(22,8,0.000100), Elem(25,0,0.000029), Elem(25,1,0.000033), Elem(25,2,0.000040),
+            Elem(25,3,0.000050), Elem(25,4,0.000067), Elem(25,5,0.000100), Elem(25,6,0.000200), Elem(25,7,0.020000), Elem(25,8,0.000200), Elem(30,0,0.990075), Elem(30,1,0.010029),
+            Elem(30,2,0.014983), Elem(30,3,0.003440), Elem(30,4,0.002575), Elem(30,5,0.002080), Elem(30,6,0.001775), Elem(30,7,0.001634), Elem(30,8,0.021254), Elem(42,0,0.014950),
+            Elem(42,1,0.010000), Elem(42,2,0.990050), Elem(42,3,0.009933), Elem(42,4,0.004975), Elem(42,5,0.003320), Elem(42,6,0.002492), Elem(42,7,0.001994), Elem(42,8,0.001663),
+            Elem(49,0,0.009900), Elem(49,1,0.990000), Elem(49,2,0.009900), Elem(49,3,0.004950), Elem(49,4,0.003300), Elem(49,5,0.002475), Elem(49,6,0.001980), Elem(49,7,0.001650),
+            Elem(49,8,0.001414), Elem(54,0,0.003300), Elem(54,1,0.004950), Elem(54,2,0.009900), Elem(54,3,0.990000), Elem(54,4,0.009900), Elem(54,5,0.004950), Elem(54,6,0.003300),
+            Elem(54,7,0.002475), Elem(54,8,0.001980), Elem(61,0,0.002489), Elem(61,1,0.003317), Elem(61,2,0.004970), Elem(61,3,0.009925), Elem(61,4,0.990033), Elem(61,5,0.009950),
+            Elem(61,6,0.005050), Elem(61,7,0.013300), Elem(61,8,0.002575), Elem(66,0,0.001993), Elem(66,1,0.002489), Elem(66,2,0.003317), Elem(66,3,0.004970), Elem(66,4,0.009925),
+            Elem(66,5,0.990033), Elem(66,6,0.009950), Elem(66,7,0.005050), Elem(66,8,0.013300), Elem(70,0,0.001650), Elem(70,1,0.001980), Elem(70,2,0.002475), Elem(70,3,0.003300),
+            Elem(70,4,0.004950), Elem(70,5,0.009900), Elem(70,6,0.990000), Elem(70,7,0.009900), Elem(70,8,0.004950), Elem(73,0,0.001439), Elem(73,1,0.001683), Elem(73,2,0.002030),
+            Elem(73,3,0.002575), Elem(73,4,0.013300), Elem(73,5,0.005050), Elem(73,6,0.009950), Elem(73,7,0.990033), Elem(73,8,0.009925), Elem(78,0,0.021257), Elem(78,1,0.001639),
+            Elem(78,2,0.001783), Elem(78,3,0.002097), Elem(78,4,0.002625), Elem(78,5,0.013340), Elem(78,6,0.005083), Elem(78,7,0.009979), Elem(78,8,0.990058), Elem(82,0,0.000017),
+            Elem(82,1,0.000020), Elem(82,2,0.000025), Elem(82,3,0.000033), Elem(82,4,0.000050), Elem(82,5,0.000100), Elem(82,6,0.010000), Elem(82,7,0.000100), Elem(82,8,0.000050),
+            Elem(85,0,0.000200), Elem(85,1,0.010200), Elem(85,2,0.020100), Elem(85,3,0.000250), Elem(85,4,0.000133), Elem(85,5,0.000092), Elem(85,6,0.000070), Elem(85,7,0.000057),
+            Elem(85,8,0.000048), Elem(90,0,0.000033), Elem(90,1,0.000050), Elem(90,2,0.000100), Elem(90,3,0.010000), Elem(90,4,0.000100), Elem(90,5,0.000050), Elem(90,6,0.000033),
+            Elem(90,7,0.000025), Elem(90,8,0.000020), },
+      { Elem(2,0,0.000200), Elem(2,1,0.020000), Elem(2,2,0.000200), Elem(2,3,0.000100), Elem(2,4,0.000067), Elem(2,5,0.000050), Elem(2,6,0.000040), Elem(2,7,0.000033),
+            Elem(2,8,0.000029), Elem(7,0,0.000067), Elem(7,1,0.000100), Elem(7,2,0.000200), Elem(7,3,0.020000), Elem(7,4,0.000200), Elem(7,5,0.000100), Elem(7,6,0.000067),
+            Elem(7,7,0.000050), Elem(7,8,0.000040), Elem(14,0,0.000050), Elem(14,1,0.000067), Elem(14,2,0.000100), Elem(14,3,0.000200), Elem(14,4,0.020000), Elem(14,5,0.000200),
+            Elem(14,6,0.000100), Elem(14,7,0.000067), Elem(14,8,0.000050), Elem(19,0,0.000040), Elem(19,1,0.000050), Elem(19,2,0.000067), Elem(19,3,0.000100), Elem(19,4,0.000200),
+            Elem(19,5,0.020000), Elem(19,6,0.000200), Elem(19,7,0.000100), Elem(19,8,0.000067), Elem(23,0,0.000033), Elem(23,1,0.000040), Elem(23,2,0.000050), Elem(23,3,0.000067),
+            Elem(23,4,0.000100), Elem(23,5,0.000200), Elem(23,6,0.020000), Elem(23,7,0.000200), Elem(23,8,0.000100), Elem(26,0,0.000029), Elem(26,1,0.000033), Elem(26,2,0.000040),
+            Elem(26,3,0.000050), Elem(26,4,0.000067), Elem(26,5,0.000100), Elem(26,6,0.000200), Elem(26,7,0.020000), Elem(26,8,0.000200), Elem(31,0,0.990025), Elem(31,1,0.009929),
+            Elem(31,2,0.004983), Elem(31,3,0.003340), Elem(31,4,0.002525), Elem(31,5,0.002047), Elem(31,6,0.001750), Elem(31,7,0.001614), Elem(31,8,0.021238), Elem(36,0,0.000050),
+            Elem(36,1,0.000100), Elem(36,2,0.010000), Elem(36,3,0.000100), Elem(36,4,0.000050), Elem(36,5,0.000033), Elem(36,6,0.000025), Elem(36,7,0.000020), Elem(36,8,0.000017),
+            Elem(43,0,0.004983), Elem(43,1,0.009950), Elem(43,2,0.990100), Elem(43,3,0.019900), Elem(43,4,0.005050), Elem(43,5,0.003350), Elem(43,6,0.002508), Elem(43,7,0.002005),
+            Elem(43,8,0.001670), Elem(50,0,0.009900), Elem(50,1,0.990000), Elem(50,2,0.009900), Elem(50,3,0.004950), Elem(50,4,0.003300), Elem(50,5,0.002475), Elem(50,6,0.001980),
+            Elem(50,7,0.001650), Elem(50,8,0.001414), Elem(55,0,0.003350), Elem(55,1,0.005050), Elem(55,2,0.019900), Elem(55,3,0.990100), Elem(55,4,0.009950), Elem(55,5,0.004983),
+            Elem(55,6,0.003325), Elem(55,7,0.002495), Elem(55,8,0.001997), Elem(62,0,0.002489), Elem(62,1,0.003317), Elem(62,2,0.004970), Elem(62,3,0.009925), Elem(62,4,0.990033),
+            Elem(62,5,0.009950), Elem(62,6,0.005050), Elem(62,7,0.013300), Elem(62,8,0.002575), Elem(67,0,0.001993), Elem(67,1,0.002489), Elem(67,2,0.003317), Elem(67,3,0.004970),
+            Elem(67,4,0.009925), Elem(67,5,0.990033), Elem(67,6,0.009950), Elem(67,7,0.005050), Elem(67,8,0.013300), Elem(71,0,0.001650), Elem(71,1,0.001980), Elem(71,2,0.002475),
+            Elem(71,3,0.003300), Elem(71,4,0.004950), Elem(71,5,0.009900), Elem(71,6,0.990000), Elem(71,7,0.009900), Elem(71,8,0.004950), Elem(74,0,0.001439), Elem(74,1,0.001683),
+            Elem(74,2,0.002030), Elem(74,3,0.002575), Elem(74,4,0.013300), Elem(74,5,0.005050), Elem(74,6,0.009950), Elem(74,7,0.990033), Elem(74,8,0.009925), Elem(79,0,0.021257),
+            Elem(79,1,0.001639), Elem(79,2,0.001783), Elem(79,3,0.002097), Elem(79,4,0.002625), Elem(79,5,0.013340), Elem(79,6,0.005083), Elem(79,7,0.009979), Elem(79,8,0.990058),
+            Elem(83,0,0.000017), Elem(83,1,0.000020), Elem(83,2,0.000025), Elem(83,3,0.000033), Elem(83,4,0.000050), Elem(83,5,0.000100), Elem(83,6,0.010000), Elem(83,7,0.000100),
+            Elem(83,8,0.000050), Elem(86,0,0.010150), Elem(86,1,0.010200), Elem(86,2,0.010150), Elem(86,3,0.000183), Elem(86,4,0.000108), Elem(86,5,0.000078), Elem(86,6,0.000062),
+            Elem(86,7,0.000051), Elem(86,8,0.000043), },
+      { Elem(3,0,0.000200), Elem(3,1,0.020000), Elem(3,2,0.000200), Elem(3,3,0.000100), Elem(3,4,0.000067), Elem(3,5,0.000050), Elem(3,6,0.000040), Elem(3,7,0.000033),
+            Elem(3,8,0.000029), Elem(8,0,0.000067), Elem(8,1,0.000100), Elem(8,2,0.000200), Elem(8,3,0.020000), Elem(8,4,0.000200), Elem(8,5,0.000100), Elem(8,6,0.000067),
+            Elem(8,7,0.000050), Elem(8,8,0.000040), Elem(15,0,0.000050), Elem(15,1,0.000067), Elem(15,2,0.000100), Elem(15,3,0.000200), Elem(15,4,0.020000), Elem(15,5,0.000200),
+            Elem(15,6,0.000100), Elem(15,7,0.000067), Elem(15,8,0.000050), Elem(20,0,0.000040), Elem(20,1,0.000050), Elem(20,2,0.000067), Elem(20,3,0.000100), Elem(20,4,0.000200),
+            Elem(20,5,0.020000), Elem(20,6,0.000200), Elem(20,7,0.000100), Elem(20,8,0.000067), Elem(24,0,0.000033), Elem(24,1,0.000040), Elem(24,2,0.000050), Elem(24,3,0.000067),
+            Elem(24,4,0.000100), Elem(24,5,0.000200), Elem(24,6,0.020000), Elem(24,7,0.000200), Elem(24,8,0.000100), Elem(27,1,0.000017), Elem(27,2,0.000020), Elem(27,3,0.000025),
+            Elem(27,4,0.000033), Elem(27,5,0.000050), Elem(27,6,0.000100), Elem(27,7,0.010000), Elem(27,8,0.000100), Elem(29,1,0.000017), Elem(29,2,0.000020), Elem(29,3,0.000025),
+            Elem(29,4,0.000033), Elem(29,5,0.000050), Elem(29,6,0.000100), Elem(29,7,0.010000), Elem(29,8,0.000100), Elem(32,0,0.990025), Elem(32,1,0.009929), Elem(32,2,0.004983),
+            Elem(32,3,0.003340), Elem(32,4,0.002525), Elem(32,5,0.002047), Elem(32,6,0.001750), Elem(32,7,0.001614), Elem(32,8,0.021238), Elem(33,0,0.000050), Elem(33,1,0.000100),
+            Elem(33,2,0.010000), Elem(33,3,0.000100), Elem(33,4,0.000050), Elem(33,5,0.000033), Elem(33,6,0.000025), Elem(33,7,0.000020), Elem(33,8,0.000017), Elem(44,0,0.004983),
+            Elem(44,1,0.009950), Elem(44,2,0.990100), Elem(44,3,0.019900), Elem(44,4,0.005050), Elem(44,5,0.003350), Elem(44,6,0.002508), Elem(44,7,0.002005), Elem(44,8,0.001670),
+            Elem(51,0,0.009900), Elem(51,1,0.990000), Elem(51,2,0.009900), Elem(51,3,0.004950), Elem(51,4,0.003300), Elem(51,5,0.002475), Elem(51,6,0.001980), Elem(51,7,0.001650),
+            Elem(51,8,0.001414), Elem(56,0,0.003350), Elem(56,1,0.005050), Elem(56,2,0.019900), Elem(56,3,0.990100), Elem(56,4,0.009950), Elem(56,5,0.004983), Elem(56,6,0.003325),
+            Elem(56,7,0.002495), Elem(56,8,0.001997), Elem(60,0,0.000017), Elem(60,1,0.000020), Elem(60,2,0.000025), Elem(60,3,0.000033), Elem(60,4,0.000050), Elem(60,5,0.000100),
+            Elem(60,6,0.010000), Elem(60,7,0.000100), Elem(60,8,0.000050), Elem(63,0,0.002475), Elem(63,1,0.003300), Elem(63,2,0.004950), Elem(63,3,0.009900), Elem(63,4,0.990000),
+            Elem(63,5,0.009900), Elem(63,6,0.004950), Elem(63,7,0.003300), Elem(63,8,0.002475), Elem(65,1,0.000017), Elem(65,2,0.000020), Elem(65,3,0.000025), Elem(65,4,0.000033),
+            Elem(65,5,0.000050), Elem(65,6,0.000100), Elem(65,7,0.010000), Elem(65,8,0.000100), Elem(68,0,0.001993), Elem(68,1,0.002489), Elem(68,2,0.003317), Elem(68,3,0.004970),
+            Elem(68,4,0.009925), Elem(68,5,0.990033), Elem(68,6,0.009950), Elem(68,7,0.005050), Elem(68,8,0.013300), Elem(72,0,0.001650), Elem(72,1,0.001980), Elem(72,2,0.002475),
+            Elem(72,3,0.003300), Elem(72,4,0.004950), Elem(72,5,0.009900), Elem(72,6,0.990000), Elem(72,7,0.009900), Elem(72,8,0.004950), Elem(75,0,0.001439), Elem(75,1,0.001683),
+            Elem(75,2,0.002030), Elem(75,3,0.002575), Elem(75,4,0.013300), Elem(75,5,0.005050), Elem(75,6,0.009950), Elem(75,7,0.990033), Elem(75,8,0.009925), Elem(80,0,0.021257),
+            Elem(80,1,0.001639), Elem(80,2,0.001783), Elem(80,3,0.002097), Elem(80,4,0.002625), Elem(80,5,0.013340), Elem(80,6,0.005083), Elem(80,7,0.009979), Elem(80,8,0.990058),
+            Elem(87,0,0.010150), Elem(87,1,0.010200), Elem(87,2,0.010150), Elem(87,3,0.000183), Elem(87,4,0.000108), Elem(87,5,0.000078), Elem(87,6,0.000062), Elem(87,7,0.000051),
+            Elem(87,8,0.000043), },
+      { Elem(4,0,0.000200), Elem(4,1,0.020000), Elem(4,2,0.000200), Elem(4,3,0.000100), Elem(4,4,0.000067), Elem(4,5,0.000050), Elem(4,6,0.000040), Elem(4,7,0.000033),
+            Elem(4,8,0.000029), Elem(9,0,0.000067), Elem(9,1,0.000100), Elem(9,2,0.000200), Elem(9,3,0.020000), Elem(9,4,0.000200), Elem(9,5,0.000100), Elem(9,6,0.000067),
+            Elem(9,7,0.000050), Elem(9,8,0.000040), Elem(16,0,0.000050), Elem(16,1,0.000067), Elem(16,2,0.000100), Elem(16,3,0.000200), Elem(16,4,0.020000), Elem(16,5,0.000200),
+            Elem(16,6,0.000100), Elem(16,7,0.000067), Elem(16,8,0.000050), Elem(21,0,0.000040), Elem(21,1,0.000050), Elem(21,2,0.000067), Elem(21,3,0.000100), Elem(21,4,0.000200),
+            Elem(21,5,0.020000), Elem(21,6,0.000200), Elem(21,7,0.000100), Elem(21,8,0.000067), Elem(25,0,0.010033), Elem(25,1,0.000140), Elem(25,2,0.000100), Elem(25,3,0.000100),
+            Elem(25,4,0.000125), Elem(25,5,0.000220), Elem(25,6,0.020017), Elem(25,7,0.000214), Elem(25,8,0.000112), Elem(28,0,0.000029), Elem(28,1,0.000033), Elem(28,2,0.000040),
+            Elem(28,3,0.000050), Elem(28,4,0.000067), Elem(28,5,0.000100), Elem(28,6,0.000200), Elem(28,7,0.020000), Elem(28,8,0.000200), Elem(33,0,0.990025), Elem(33,1,0.009929),
+            Elem(33,2,0.004983), Elem(33,3,0.003340), Elem(33,4,0.002525), Elem(33,5,0.002047), Elem(33,6,0.001750), Elem(33,7,0.001614), Elem(33,8,0.021238), Elem(38,0,0.000050),
+            Elem(38,1,0.000100), Elem(38,2,0.010000), Elem(38,3,0.000100), Elem(38,4,0.000050), Elem(38,5,0.000033), Elem(38,6,0.000025), Elem(38,7,0.000020), Elem(38,8,0.000017),
+            Elem(44,0,0.010000), Elem(44,1,0.000100), Elem(44,2,0.000050), Elem(44,3,0.000033), Elem(44,4,0.000025), Elem(44,5,0.000020), Elem(44,6,0.000017), Elem(45,0,0.004983),
+            Elem(45,1,0.009950), Elem(45,2,0.990100), Elem(45,3,0.019900), Elem(45,4,0.005050), Elem(45,5,0.003350), Elem(45,6,0.002508), Elem(45,7,0.002005), Elem(45,8,0.001670),
+            Elem(52,0,0.009900), Elem(52,1,0.990000), Elem(52,2,0.009900), Elem(52,3,0.004950), Elem(52,4,0.003300), Elem(52,5,0.002475), Elem(52,6,0.001980), Elem(52,7,0.001650),
+            Elem(52,8,0.001414), Elem(57,0,0.003350), Elem(57,1,0.005050), Elem(57,2,0.019900), Elem(57,3,0.990100), Elem(57,4,0.009950), Elem(57,5,0.004983), Elem(57,6,0.003325),
+            Elem(57,7,0.002495), Elem(57,8,0.001997), Elem(61,0,0.000017), Elem(61,1,0.000020), Elem(61,2,0.000025), Elem(61,3,0.000033), Elem(61,4,0.000050), Elem(61,5,0.000100),
+            Elem(61,6,0.010000), Elem(61,7,0.000100), Elem(61,8,0.000050), Elem(64,0,0.002489), Elem(64,1,0.003317), Elem(64,2,0.004970), Elem(64,3,0.009925), Elem(64,4,0.990033),
+            Elem(64,5,0.009950), Elem(64,6,0.005050), Elem(64,7,0.013300), Elem(64,8,0.002575), Elem(69,0,0.001993), Elem(69,1,0.002489), Elem(69,2,0.003317), Elem(69,3,0.004970),
+            Elem(69,4,0.009925), Elem(69,5,0.990033), Elem(69,6,0.009950), Elem(69,7,0.005050), Elem(69,8,0.013300), Elem(73,0,0.001650), Elem(73,1,0.001980), Elem(73,2,0.002475),
+            Elem(73,3,0.003300), Elem(73,4,0.004950), Elem(73,5,0.009900), Elem(73,6,0.990000), Elem(73,7,0.009900), Elem(73,8,0.004950), Elem(76,0,0.001439), Elem(76,1,0.001683),
+            Elem(76,2,0.002030), Elem(76,3,0.002575), Elem(76,4,0.013300), Elem(76,5,0.005050), Elem(76,6,0.009950), Elem(76,7,0.990033), Elem(76,8,0.009925), Elem(81,0,0.011257),
+            Elem(81,1,0.001539), Elem(81,2,0.001733), Elem(81,3,0.002063), Elem(81,4,0.002600), Elem(81,5,0.013320), Elem(81,6,0.005067), Elem(81,7,0.009964), Elem(81,8,0.990046),
+            Elem(88,0,0.000150), Elem(88,1,0.010100), Elem(88,2,0.010100), Elem(88,3,0.000150), Elem(88,4,0.000083), Elem(88,5,0.000058), Elem(88,6,0.000045), Elem(88,7,0.000037),
+            Elem(88,8,0.000031), },
+      { Elem(5,0,0.000200), Elem(5,1,0.020000), Elem(5,2,0.000200), Elem(5,3,0.000100), Elem(5,4,0.000067), Elem(5,5,0.000050), Elem(5,6,0.000040), Elem(5,7,0.000033),
+            Elem(5,8,0.000029), Elem(10,0,0.000067), Elem(10,1,0.000100), Elem(10,2,0.000200), Elem(10,3,0.020000), Elem(10,4,0.000200), Elem(10,5,0.000100), Elem(10,6,0.000067),
+            Elem(10,7,0.000050), Elem(10,8,0.000040), Elem(17,0,0.000050), Elem(17,1,0.000067), Elem(17,2,0.000100), Elem(17,3,0.000200), Elem(17,4,0.020000), Elem(17,5,0.000200),
+            Elem(17,6,0.000100), Elem(17,7,0.000067), Elem(17,8,0.000050), Elem(22,0,0.000040), Elem(22,1,0.000050), Elem(22,2,0.000067), Elem(22,3,0.000100), Elem(22,4,0.000200),
+            Elem(22,5,0.020000), Elem(22,6,0.000200), Elem(22,7,0.000100), Elem(22,8,0.000067), Elem(26,0,0.000033), Elem(26,1,0.000040), Elem(26,2,0.000050), Elem(26,3,0.000067),
+            Elem(26,4,0.000100), Elem(26,5,0.000200), Elem(26,6,0.020000), Elem(26,7,0.000200), Elem(26,8,0.000100), Elem(29,1,0.000017), Elem(29,2,0.000020), Elem(29,3,0.000025),
+            Elem(29,4,0.000033), Elem(29,5,0.000050), Elem(29,6,0.000100), Elem(29,7,0.010000), Elem(29,8,0.000100), Elem(34,0,0.990025), Elem(34,1,0.009929), Elem(34,2,0.004983),
+            Elem(34,3,0.003340), Elem(34,4,0.002525), Elem(34,5,0.002047), Elem(34,6,0.001750), Elem(34,7,0.001614), Elem(34,8,0.021238), Elem(39,0,0.000050), Elem(39,1,0.000100),
+            Elem(39,2,0.010000), Elem(39,3,0.000100), Elem(39,4,0.000050), Elem(39,5,0.000033), Elem(39,6,0.000025), Elem(39,7,0.000020), Elem(39,8,0.000017), Elem(46,0,0.004983),
+            Elem(46,1,0.009950), Elem(46,2,0.990100), Elem(46,3,0.019900), Elem(46,4,0.005050), Elem(46,5,0.003350), Elem(46,6,0.002508), Elem(46,7,0.002005), Elem(46,8,0.001670),
+            Elem(53,0,0.009900), Elem(53,1,0.990000), Elem(53,2,0.009900), Elem(53,3,0.004950), Elem(53,4,0.003300), Elem(53,5,0.002475), Elem(53,6,0.001980), Elem(53,7,0.001650),
+            Elem(53,8,0.001414), Elem(58,0,0.003350), Elem(58,1,0.005050), Elem(58,2,0.019900), Elem(58,3,0.990100), Elem(58,4,0.009950), Elem(58,5,0.004983), Elem(58,6,0.003325),
+            Elem(58,7,0.002495), Elem(58,8,0.001997), Elem(62,0,0.000017), Elem(62,1,0.000020), Elem(62,2,0.000025), Elem(62,3,0.000033), Elem(62,4,0.000050), Elem(62,5,0.000100),
+            Elem(62,6,0.010000), Elem(62,7,0.000100), Elem(62,8,0.000050), Elem(65,0,0.002475), Elem(65,1,0.003300), Elem(65,2,0.004950), Elem(65,3,0.009900), Elem(65,4,0.990000),
+            Elem(65,5,0.009900), Elem(65,6,0.004950), Elem(65,7,0.003300), Elem(65,8,0.002475), Elem(70,0,0.001993), Elem(70,1,0.002489), Elem(70,2,0.003317), Elem(70,3,0.004970),
+            Elem(70,4,0.009925), Elem(70,5,0.990033), Elem(70,6,0.009950), Elem(70,7,0.005050), Elem(70,8,0.013300), Elem(74,0,0.001650), Elem(74,1,0.001980), Elem(74,2,0.002475),
+            Elem(74,3,0.003300), Elem(74,4,0.004950), Elem(74,5,0.009900), Elem(74,6,0.990000), Elem(74,7,0.009900), Elem(74,8,0.004950), Elem(75,0,0.000025), Elem(75,1,0.000033),
+            Elem(75,2,0.000050), Elem(75,3,0.000100), Elem(75,4,0.010000), Elem(75,5,0.000100), Elem(75,6,0.000050), Elem(75,7,0.000033), Elem(75,8,0.000025), Elem(77,0,0.001414),
+            Elem(77,1,0.001650), Elem(77,2,0.001980), Elem(77,3,0.002475), Elem(77,4,0.003300), Elem(77,5,0.004950), Elem(77,6,0.009900), Elem(77,7,0.990000), Elem(77,8,0.009900),
+            Elem(82,0,0.021257), Elem(82,1,0.001639), Elem(82,2,0.001783), Elem(82,3,0.002097), Elem(82,4,0.002625), Elem(82,5,0.013340), Elem(82,6,0.005083), Elem(82,7,0.009979),
+            Elem(82,8,0.990058), Elem(89,0,0.010150), Elem(89,1,0.010200), Elem(89,2,0.010150), Elem(89,3,0.000183), Elem(89,4,0.000108), Elem(89,5,0.000078), Elem(89,6,0.000062),
+            Elem(89,7,0.000051), Elem(89,8,0.000043), },
+      { Elem(6,0,0.000200), Elem(6,1,0.020000), Elem(6,2,0.000200), Elem(6,3,0.000100), Elem(6,4,0.000067), Elem(6,5,0.000050), Elem(6,6,0.000040), Elem(6,7,0.000033),
+            Elem(6,8,0.000029), Elem(11,0,0.000067), Elem(11,1,0.000100), Elem(11,2,0.000200), Elem(11,3,0.020000), Elem(11,4,0.000200), Elem(11,5,0.000100), Elem(11,6,0.000067),
+            Elem(11,7,0.000050), Elem(11,8,0.000040), Elem(18,0,0.000050), Elem(18,1,0.000067), Elem(18,2,0.000100), Elem(18,3,0.000200), Elem(18,4,0.020000), Elem(18,5,0.000200),
+            Elem(18,6,0.000100), Elem(18,7,0.000067), Elem(18,8,0.000050), Elem(23,0,0.000040), Elem(23,1,0.000050), Elem(23,2,0.000067), Elem(23,3,0.000100), Elem(23,4,0.000200),
+            Elem(23,5,0.020000), Elem(23,6,0.000200), Elem(23,7,0.000100), Elem(23,8,0.000067), Elem(27,0,0.000017), Elem(27,1,0.000020), Elem(27,2,0.000025), Elem(27,3,0.000033),
+            Elem(27,4,0.000050), Elem(27,5,0.000100), Elem(27,6,0.010000), Elem(27,7,0.000100), Elem(27,8,0.000050), Elem(29,0,0.000017), Elem(29,1,0.000020), Elem(29,2,0.000025),
+            Elem(29,3,0.000033), Elem(29,4,0.000050), Elem(29,5,0.000100), Elem(29,6,0.010000), Elem(29,7,0.000100), Elem(29,8,0.000050), Elem(30,0,0.000029), Elem(30,1,0.000033),
+            Elem(30,2,0.000040), Elem(30,3,0.000050), Elem(30,4,0.000067), Elem(30,5,0.000100), Elem(30,6,0.000200), Elem(30,7,0.020000), Elem(30,8,0.000200), Elem(35,0,0.990025),
+            Elem(35,1,0.009929), Elem(35,2,0.004983), Elem(35,3,0.003340), Elem(35,4,0.002525), Elem(35,5,0.002047), Elem(35,6,0.001750), Elem(35,7,0.001614), Elem(35,8,0.021238),
+            Elem(40,0,0.000050), Elem(40,1,0.000100), Elem(40,2,0.010000), Elem(40,3,0.000100), Elem(40,4,0.000050), Elem(40,5,0.000033), Elem(40,6,0.000025), Elem(40,7,0.000020),
+            Elem(40,8,0.000017), Elem(47,0,0.004983), Elem(47,1,0.009950), Elem(47,2,0.990100), Elem(47,3,0.019900), Elem(47,4,0.005050), Elem(47,5,0.003350), Elem(47,6,0.002508),
+            Elem(47,7,0.002005), Elem(47,8,0.001670), Elem(54,0,0.009900), Elem(54,1,0.990000), Elem(54,2,0.009900), Elem(54,3,0.004950), Elem(54,4,0.003300), Elem(54,5,0.002475),
+            Elem(54,6,0.001980), Elem(54,7,0.001650), Elem(54,8,0.001414), Elem(59,0,0.003350), Elem(59,1,0.005050), Elem(59,2,0.019900), Elem(59,3,0.990100), Elem(59,4,0.009950),
+            Elem(59,5,0.004983), Elem(59,6,0.003325), Elem(59,7,0.002495), Elem(59,8,0.001997), Elem(65,0,0.000017), Elem(65,1,0.000020), Elem(65,2,0.000025), Elem(65,3,0.000033),
+            Elem(65,4,0.000050), Elem(65,5,0.000100), Elem(65,6,0.010000), Elem(65,7,0.000100), Elem(65,8,0.000050), Elem(66,0,0.002489), Elem(66,1,0.003317), Elem(66,2,0.004970),
+            Elem(66,3,0.009925), Elem(66,4,0.990033), Elem(66,5,0.009950), Elem(66,6,0.005050), Elem(66,7,0.013300), Elem(66,8,0.002575), Elem(71,0,0.001993), Elem(71,1,0.002489),
+            Elem(71,2,0.003317), Elem(71,3,0.004970), Elem(71,4,0.009925), Elem(71,5,0.990033), Elem(71,6,0.009950), Elem(71,7,0.005050), Elem(71,8,0.013300), Elem(75,0,0.001650),
+            Elem(75,1,0.001980), Elem(75,2,0.002475), Elem(75,3,0.003300), Elem(75,4,0.004950), Elem(75,5,0.009900), Elem(75,6,0.990000), Elem(75,7,0.009900), Elem(75,8,0.004950),
+            Elem(78,0,0.001439), Elem(78,1,0.001683), Elem(78,2,0.002030), Elem(78,3,0.002575), Elem(78,4,0.013300), Elem(78,5,0.005050), Elem(78,6,0.009950), Elem(78,7,0.990033),
+            Elem(78,8,0.009925), Elem(83,0,0.021257), Elem(83,1,0.001639), Elem(83,2,0.001783), Elem(83,3,0.002097), Elem(83,4,0.002625), Elem(83,5,0.013340), Elem(83,6,0.005083),
+            Elem(83,7,0.009979), Elem(83,8,0.990058), Elem(90,0,0.010150), Elem(90,1,0.010200), Elem(90,2,0.010150), Elem(90,3,0.000183), Elem(90,4,0.000108), Elem(90,5,0.000078),
+            Elem(90,6,0.000062), Elem(90,7,0.000051), Elem(90,8,0.000043), },
+      { Elem(0,0,0.000100), Elem(0,1,0.000200), Elem(0,2,0.020000), Elem(0,3,0.000200), Elem(0,4,0.000100), Elem(0,5,0.000067), Elem(0,6,0.000050), Elem(0,7,0.000040),
+            Elem(0,8,0.000033), Elem(7,0,0.000200), Elem(7,1,0.020000), Elem(7,2,0.000200), Elem(7,3,0.000100), Elem(7,4,0.000067), Elem(7,5,0.000050), Elem(7,6,0.000040),
+            Elem(7,7,0.000033), Elem(7,8,0.000029), Elem(12,0,0.000067), Elem(12,1,0.000100), Elem(12,2,0.000200), Elem(12,3,0.020000), Elem(12,4,0.000200), Elem(12,5,0.000100),
+            Elem(12,6,0.000067), Elem(12,7,0.000050), Elem(12,8,0.000040), Elem(19,0,0.000050), Elem(19,1,0.000067), Elem(19,2,0.000100), Elem(19,3,0.000200), Elem(19,4,0.020000),
+            Elem(19,5,0.000200), Elem(19,6,0.000100), Elem(19,7,0.000067), Elem(19,8,0.000050), Elem(24,0,0.015002), Elem(24,1,0.000200), Elem(24,2,0.000141), Elem(24,3,0.000150),
+            Elem(24,4,0.000237), Elem(24,5,0.020030), Elem(24,6,0.000225), Elem(24,7,0.000121), Elem(24,8,0.000085), Elem(28,0,0.000033), Elem(28,1,0.000040), Elem(28,2,0.000050),
+            Elem(28,3,0.000067), Elem(28,4,0.000100), Elem(28,5,0.000200), Elem(28,6,0.020000), Elem(28,7,0.000200), Elem(28,8,0.000100), Elem(31,0,0.000029), Elem(31,1,0.000033),
+            Elem(31,2,0.000040), Elem(31,3,0.000050), Elem(31,4,0.000067), Elem(31,5,0.000100), Elem(31,6,0.000200), Elem(31,7,0.020000), Elem(31,8,0.000200), Elem(36,0,1.481273),
+            Elem(36,1,0.014813), Elem(36,2,0.007406), Elem(36,3,0.004938), Elem(36,4,0.003703), Elem(36,5,0.002963), Elem(36,6,0.002469), Elem(36,7,0.002116), Elem(36,8,0.001852),
+            Elem(41,0,0.000025), Elem(41,1,0.000029), Elem(41,2,0.000033), Elem(41,3,0.000040), Elem(41,4,0.000050), Elem(41,5,0.000067), Elem(41,6,0.000100), Elem(41,7,0.000200),
+            Elem(41,8,0.020000), Elem(43,0,0.015062), Elem(43,1,0.010150), Elem(43,2,0.000175), Elem(43,3,0.000100), Elem(43,4,0.000071), Elem(43,5,0.000055), Elem(43,6,0.000045),
+            Elem(43,7,0.000038), Elem(43,8,0.000033), Elem(48,0,0.004950), Elem(48,1,0.009900), Elem(48,2,0.990000), Elem(48,3,0.009900), Elem(48,4,0.004950), Elem(48,5,0.003300),
+            Elem(48,6,0.002475), Elem(48,7,0.001980), Elem(48,8,0.001650), Elem(55,0,0.009900), Elem(55,1,0.990000), Elem(55,2,0.009900), Elem(55,3,0.004950), Elem(55,4,0.003300),
+            Elem(55,5,0.002475), Elem(55,6,0.001980), Elem(55,7,0.001650), Elem(55,8,0.001414), Elem(60,0,0.003320), Elem(60,1,0.004975), Elem(60,2,0.009933), Elem(60,3,0.990050),
+            Elem(60,4,0.010000), Elem(60,5,0.014950), Elem(60,6,0.003400), Elem(60,7,0.002525), Elem(60,8,0.002013), Elem(64,0,0.000017), Elem(64,1,0.000020), Elem(64,2,0.000025),
+            Elem(64,3,0.000033), Elem(64,4,0.000050), Elem(64,5,0.000100), Elem(64,6,0.010000), Elem(64,7,0.000100), Elem(64,8,0.000050), Elem(67,0,0.002489), Elem(67,1,0.003317),
+            Elem(67,2,0.004970), Elem(67,3,0.009925), Elem(67,4,0.990033), Elem(67,5,0.009950), Elem(67,6,0.005050), Elem(67,7,0.013300), Elem(67,8,0.002575), Elem(72,0,0.002013),
+            Elem(72,1,0.002525), Elem(72,2,0.003400), Elem(72,3,0.014950), Elem(72,4,0.010000), Elem(72,5,0.990050), Elem(72,6,0.009933), Elem(72,7,0.004975), Elem(72,8,0.003320),
+            Elem(76,0,0.001650), Elem(76,1,0.001980), Elem(76,2,0.002475), Elem(76,3,0.003300), Elem(76,4,0.004950), Elem(76,5,0.009900), Elem(76,6,0.990000), Elem(76,7,0.009900),
+            Elem(76,8,0.004950), Elem(79,0,0.001439), Elem(79,1,0.001683), Elem(79,2,0.002030), Elem(79,3,0.002575), Elem(79,4,0.013300), Elem(79,5,0.005050), Elem(79,6,0.009950),
+            Elem(79,7,0.990033), Elem(79,8,0.009925), Elem(84,0,0.001237), Elem(84,1,0.001414), Elem(84,2,0.001650), Elem(84,3,0.001980), Elem(84,4,0.002475), Elem(84,5,0.003300),
+            Elem(84,6,0.004950), Elem(84,7,0.009900), Elem(84,8,0.990000), },
+      { Elem(1,0,0.000150), Elem(1,1,0.000299), Elem(1,2,0.029925), Elem(1,3,0.000299), Elem(1,4,0.000150), Elem(1,5,0.000100), Elem(1,6,0.000075), Elem(1,7,0.000060),
+            Elem(1,8,0.000050), Elem(8,0,0.000200), Elem(8,1,0.020000), Elem(8,2,0.000200), Elem(8,3,0.000100), Elem(8,4,0.000067), Elem(8,5,0.000050), Elem(8,6,0.000040),
+            Elem(8,7,0.000033), Elem(8,8,0.000029), Elem(13,0,0.000067), Elem(13,1,0.000100), Elem(13,2,0.000200), Elem(13,3,0.020000), Elem(13,4,0.000200), Elem(13,5,0.000100),
+            Elem(13,6,0.000067), Elem(13,7,0.000050), Elem(13,8,0.000040), Elem(20,0,0.000050), Elem(20,1,0.000067), Elem(20,2,0.000100), Elem(20,3,0.000200), Elem(20,4,0.020000),
+            Elem(20,5,0.000200), Elem(20,6,0.000100), Elem(20,7,0.000067), Elem(20,8,0.000050), Elem(25,0,0.000040), Elem(25,1,0.000050), Elem(25,2,0.000067), Elem(25,3,0.000100),
+            Elem(25,4,0.000200), Elem(25,5,0.020000), Elem(25,6,0.000200), Elem(25,7,0.000100), Elem(25,8,0.000067), Elem(29,0,0.000017), Elem(29,1,0.000020), Elem(29,2,0.000025),
+            Elem(29,3,0.000033), Elem(29,4,0.000050), Elem(29,5,0.000100), Elem(29,6,0.010000), Elem(29,7,0.000100), Elem(29,8,0.000050), Elem(32,0,0.000029), Elem(32,1,0.000033),
+            Elem(32,2,0.000040), Elem(32,3,0.000050), Elem(32,4,0.000067), Elem(32,5,0.000100), Elem(32,6,0.000200), Elem(32,7,0.020000), Elem(32,8,0.000200), Elem(37,0,1.481273),
+            Elem(37,1,0.014813), Elem(37,2,0.007406), Elem(37,3,0.004938), Elem(37,4,0.003703), Elem(37,5,0.002963), Elem(37,6,0.002469), Elem(37,7,0.002116), Elem(37,8,0.001852),
+            Elem(42,0,0.000025), Elem(42,1,0.000029), Elem(42,2,0.000033), Elem(42,3,0.000040), Elem(42,4,0.000050), Elem(42,5,0.000067), Elem(42,6,0.000100), Elem(42,7,0.000200),
+            Elem(42,8,0.020000), Elem(44,0,0.000100), Elem(44,1,0.010000), Elem(44,2,0.000100), Elem(44,3,0.000050), Elem(44,4,0.000033), Elem(44,5,0.000025), Elem(44,6,0.000020),
+            Elem(44,7,0.000017), Elem(49,0,0.007419), Elem(49,1,0.014827), Elem(49,2,1.481290), Elem(49,3,0.014833), Elem(49,4,0.007431), Elem(49,5,0.004971), Elem(49,6,0.003753),
+            Elem(49,7,0.003063), Elem(49,8,0.012469), Elem(56,0,0.009900), Elem(56,1,0.990000), Elem(56,2,0.009900), Elem(56,3,0.004950), Elem(56,4,0.003300), Elem(56,5,0.002475),
+            Elem(56,6,0.001980), Elem(56,7,0.001650), Elem(56,8,0.001414), Elem(61,0,0.003320), Elem(61,1,0.004975), Elem(61,2,0.009933), Elem(61,3,0.990050), Elem(61,4,0.010000),
+            Elem(61,5,0.014950), Elem(61,6,0.003400), Elem(61,7,0.002525), Elem(61,8,0.002013), Elem(68,0,0.002489), Elem(68,1,0.003317), Elem(68,2,0.004970), Elem(68,3,0.009925),
+            Elem(68,4,0.990033), Elem(68,5,0.009950), Elem(68,6,0.005050), Elem(68,7,0.013300), Elem(68,8,0.002575), Elem(73,0,0.002013), Elem(73,1,0.002525), Elem(73,2,0.003400),
+            Elem(73,3,0.014950), Elem(73,4,0.010000), Elem(73,5,0.990050), Elem(73,6,0.009933), Elem(73,7,0.004975), Elem(73,8,0.003320), Elem(77,0,0.001650), Elem(77,1,0.001980),
+            Elem(77,2,0.002475), Elem(77,3,0.003300), Elem(77,4,0.004950), Elem(77,5,0.009900), Elem(77,6,0.990000), Elem(77,7,0.009900), Elem(77,8,0.004950), Elem(80,0,0.001439),
+            Elem(80,1,0.001683), Elem(80,2,0.002030), Elem(80,3,0.002575), Elem(80,4,0.013300), Elem(80,5,0.005050), Elem(80,6,0.009950), Elem(80,7,0.990033), Elem(80,8,0.009925),
+            Elem(85,0,0.001312), Elem(85,1,0.001564), Elem(85,2,0.016612), Elem(85,3,0.002130), Elem(85,4,0.002550), Elem(85,5,0.003350), Elem(85,6,0.004987), Elem(85,7,0.009930),
+            Elem(85,8,0.990025), },
+      { Elem(2,0,0.000150), Elem(2,1,0.000299), Elem(2,2,0.029925), Elem(2,3,0.000299), Elem(2,4,0.000150), Elem(2,5,0.000100), Elem(2,6,0.000075), Elem(2,7,0.000060),
+            Elem(2,8,0.000050), Elem(9,0,0.000299), Elem(9,1,0.029925), Elem(9,2,0.000299), Elem(9,3,0.000150), Elem(9,4,0.000100), Elem(9,5,0.000075), Elem(9,6,0.000060),
+            Elem(9,7,0.000050), Elem(9,8,0.000043), Elem(14,0,0.000067), Elem(14,1,0.000100), Elem(14,2,0.000200), Elem(14,3,0.020000), Elem(14,4,0.000200), Elem(14,5,0.000100),
+            Elem(14,6,0.000067), Elem(14,7,0.000050), Elem(14,8,0.000040), Elem(21,0,0.000050), Elem(21,1,0.000067), Elem(21,2,0.000100), Elem(21,3,0.000200), Elem(21,4,0.020000),
+            Elem(21,5,0.000200), Elem(21,6,0.000100), Elem(21,7,0.000067), Elem(21,8,0.000050), Elem(26,0,0.015002), Elem(26,1,0.000200), Elem(26,2,0.000141), Elem(26,3,0.000150),
+            Elem(26,4,0.000237), Elem(26,5,0.020030), Elem(26,6,0.000225), Elem(26,7,0.000121), Elem(26,8,0.000085), Elem(30,0,0.000033), Elem(30,1,0.000040), Elem(30,2,0.000050),
+            Elem(30,3,0.000067), Elem(30,4,0.000100), Elem(30,5,0.000200), Elem(30,6,0.020000), Elem(30,7,0.000200), Elem(30,8,0.000100), Elem(31,2,0.000017), Elem(31,3,0.000020),
+            Elem(31,4,0.000025), Elem(31,5,0.000033), Elem(31,6,0.000050), Elem(31,7,0.000100), Elem(31,8,0.010000), Elem(33,0,0.000029), Elem(33,1,0.000033), Elem(33,2,0.000040),
+            Elem(33,3,0.000050), Elem(33,4,0.000067), Elem(33,5,0.000100), Elem(33,6,0.000200), Elem(33,7,0.020000), Elem(33,8,0.000200), Elem(38,0,1.481273), Elem(38,1,0.014813),
+            Elem(38,2,0.007406), Elem(38,3,0.004938), Elem(38,4,0.003703), Elem(38,5,0.002963), Elem(38,6,0.002469), Elem(38,7,0.002116), Elem(38,8,0.001852), Elem(43,2,0.000017),
+            Elem(43,3,0.000020), Elem(43,4,0.000025), Elem(43,5,0.000033), Elem(43,6,0.000050), Elem(43,7,0.000100), Elem(43,8,0.010000), Elem(45,0,0.015112), Elem(45,1,0.015112),
+            Elem(45,2,0.000224), Elem(45,3,0.000125), Elem(45,4,0.000087), Elem(45,5,0.000067), Elem(45,6,0.000055), Elem(45,7,0.000046), Elem(45,8,0.000040), Elem(50,0,0.007419),
+            Elem(50,1,0.014827), Elem(50,2,1.481290), Elem(50,3,0.014833), Elem(50,4,0.007431), Elem(50,5,0.004971), Elem(50,6,0.003753), Elem(50,7,0.003063), Elem(50,8,0.012469),
+            Elem(57,0,0.014813), Elem(57,1,1.481273), Elem(57,2,0.014813), Elem(57,3,0.007406), Elem(57,4,0.004938), Elem(57,5,0.003703), Elem(57,6,0.002963), Elem(57,7,0.002469),
+            Elem(57,8,0.002116), Elem(62,0,0.003320), Elem(62,1,0.004975), Elem(62,2,0.009933), Elem(62,3,0.990050), Elem(62,4,0.010000), Elem(62,5,0.014950), Elem(62,6,0.003400),
+            Elem(62,7,0.002525), Elem(62,8,0.002013), Elem(66,0,0.000017), Elem(66,1,0.000020), Elem(66,2,0.000025), Elem(66,3,0.000033), Elem(66,4,0.000050), Elem(66,5,0.000100),
+            Elem(66,6,0.010000), Elem(66,7,0.000100), Elem(66,8,0.000050), Elem(69,0,0.002489), Elem(69,1,0.003317), Elem(69,2,0.004970), Elem(69,3,0.009925), Elem(69,4,0.990033),
+            Elem(69,5,0.009950), Elem(69,6,0.005050), Elem(69,7,0.013300), Elem(69,8,0.002575), Elem(74,0,0.002013), Elem(74,1,0.002525), Elem(74,2,0.003400), Elem(74,3,0.014950),
+            Elem(74,4,0.010000), Elem(74,5,0.990050), Elem(74,6,0.009933), Elem(74,7,0.004975), Elem(74,8,0.003320), Elem(78,0,0.001650), Elem(78,1,0.001980), Elem(78,2,0.002475),
+            Elem(78,3,0.003300), Elem(78,4,0.004950), Elem(78,5,0.009900), Elem(78,6,0.990000), Elem(78,7,0.009900), Elem(78,8,0.004950), Elem(81,0,0.001439), Elem(81,1,0.001683),
+            Elem(81,2,0.002030), Elem(81,3,0.002575), Elem(81,4,0.013300), Elem(81,5,0.005050), Elem(81,6,0.009950), Elem(81,7,0.990033), Elem(81,8,0.009925), Elem(86,0,0.001312),
+            Elem(86,1,0.001564), Elem(86,2,0.016612), Elem(86,3,0.002130), Elem(86,4,0.002550), Elem(86,5,0.003350), Elem(86,6,0.004987), Elem(86,7,0.009930), Elem(86,8,0.990025),
+            },
+      { Elem(3,0,0.000150), Elem(3,1,0.000299), Elem(3,2,0.029925), Elem(3,3,0.000299), Elem(3,4,0.000150), Elem(3,5,0.000100), Elem(3,6,0.000075), Elem(3,7,0.000060),
+            Elem(3,8,0.000050), Elem(10,0,0.000299), Elem(10,1,0.029925), Elem(10,2,0.000299), Elem(10,3,0.000150), Elem(10,4,0.000100), Elem(10,5,0.000075), Elem(10,6,0.000060),
+            Elem(10,7,0.000050), Elem(10,8,0.000043), Elem(15,0,0.000045), Elem(15,1,0.000067), Elem(15,2,0.000134), Elem(15,3,0.013367), Elem(15,4,0.000134), Elem(15,5,0.000067),
+            Elem(15,6,0.000045), Elem(15,7,0.000033), Elem(15,8,0.000027), Elem(22,0,0.000050), Elem(22,1,0.000067), Elem(22,2,0.000100), Elem(22,3,0.000200), Elem(22,4,0.020000),
+            Elem(22,5,0.000200), Elem(22,6,0.000100), Elem(22,7,0.000067), Elem(22,8,0.000050), Elem(27,0,0.014982), Elem(27,1,0.000175), Elem(27,2,0.000108), Elem(27,3,0.000100),
+            Elem(27,4,0.000137), Elem(27,5,0.010030), Elem(27,6,0.000125), Elem(27,7,0.000071), Elem(27,8,0.000052), Elem(29,0,0.000020), Elem(29,1,0.000025), Elem(29,2,0.000033),
+            Elem(29,3,0.000050), Elem(29,4,0.000100), Elem(29,5,0.010000), Elem(29,6,0.000100), Elem(29,7,0.000050), Elem(29,8,0.000033), Elem(31,0,0.000033), Elem(31,1,0.000040),
+            Elem(31,2,0.000050), Elem(31,3,0.000067), Elem(31,4,0.000100), Elem(31,5,0.000200), Elem(31,6,0.020000), Elem(31,7,0.000200), Elem(31,8,0.000100), Elem(32,2,0.000017),
+            Elem(32,3,0.000020), Elem(32,4,0.000025), Elem(32,5,0.000033), Elem(32,6,0.000050), Elem(32,7,0.000100), Elem(32,8,0.010000), Elem(34,0,0.000029), Elem(34,1,0.000033),
+            Elem(34,2,0.000040), Elem(34,3,0.000050), Elem(34,4,0.000067), Elem(34,5,0.000100), Elem(34,6,0.000200), Elem(34,7,0.020000), Elem(34,8,0.000200), Elem(39,0,1.481273),
+            Elem(39,1,0.014813), Elem(39,2,0.007406), Elem(39,3,0.004938), Elem(39,4,0.003703), Elem(39,5,0.002963), Elem(39,6,0.002469), Elem(39,7,0.002116), Elem(39,8,0.001852),
+            Elem(44,2,0.000017), Elem(44,3,0.000020), Elem(44,4,0.000025), Elem(44,5,0.000033), Elem(44,6,0.000050), Elem(44,7,0.000100), Elem(44,8,0.010000), Elem(46,0,0.015112),
+            Elem(46,1,0.015112), Elem(46,2,0.000224), Elem(46,3,0.000125), Elem(46,4,0.000087), Elem(46,5,0.000067), Elem(46,6,0.000055), Elem(46,7,0.000046), Elem(46,8,0.000040),
+            Elem(51,0,0.007419), Elem(51,1,0.014827), Elem(51,2,1.481290), Elem(51,3,0.014833), Elem(51,4,0.007431), Elem(51,5,0.004971), Elem(51,6,0.003753), Elem(51,7,0.003063),
+            Elem(51,8,0.012469), Elem(58,0,0.014813), Elem(58,1,1.481273), Elem(58,2,0.014813), Elem(58,3,0.007406), Elem(58,4,0.004938), Elem(58,5,0.003703), Elem(58,6,0.002963),
+            Elem(58,7,0.002469), Elem(58,8,0.002116), Elem(63,0,0.002206), Elem(63,1,0.003308), Elem(63,2,0.006617), Elem(63,3,0.661660), Elem(63,4,0.006617), Elem(63,5,0.003308),
+            Elem(63,6,0.002206), Elem(63,7,0.001654), Elem(63,8,0.001323), Elem(65,0,0.000020), Elem(65,1,0.000025), Elem(65,2,0.000033), Elem(65,3,0.000050), Elem(65,4,0.000100),
+            Elem(65,5,0.010000), Elem(65,6,0.000100), Elem(65,7,0.000050), Elem(65,8,0.000033), Elem(67,0,0.000017), Elem(67,1,0.000020), Elem(67,2,0.000025), Elem(67,3,0.000033),
+            Elem(67,4,0.000050), Elem(67,5,0.000100), Elem(67,6,0.010000), Elem(67,7,0.000100), Elem(67,8,0.000050), Elem(70,0,0.002489), Elem(70,1,0.003317), Elem(70,2,0.004970),
+            Elem(70,3,0.009925), Elem(70,4,0.990033), Elem(70,5,0.009950), Elem(70,6,0.005050), Elem(70,7,0.013300), Elem(70,8,0.002575), Elem(75,0,0.002002), Elem(75,1,0.002508),
+            Elem(75,2,0.003367), Elem(75,3,0.011633), Elem(75,4,0.009967), Elem(75,5,0.990033), Elem(75,6,0.009922), Elem(75,7,0.004967), Elem(75,8,0.003313), Elem(79,0,0.001650),
+            Elem(79,1,0.001980), Elem(79,2,0.002475), Elem(79,3,0.003300), Elem(79,4,0.004950), Elem(79,5,0.009900), Elem(79,6,0.990000), Elem(79,7,0.009900), Elem(79,8,0.004950),
+            Elem(82,0,0.001439), Elem(82,1,0.001683), Elem(82,2,0.002030), Elem(82,3,0.002575), Elem(82,4,0.013300), Elem(82,5,0.005050), Elem(82,6,0.009950), Elem(82,7,0.990033),
+            Elem(82,8,0.009925), Elem(87,0,0.001312), Elem(87,1,0.001564), Elem(87,2,0.016612), Elem(87,3,0.002130), Elem(87,4,0.002550), Elem(87,5,0.003350), Elem(87,6,0.004987),
+            Elem(87,7,0.009930), Elem(87,8,0.990025), },
+      { Elem(4,0,0.000150), Elem(4,1,0.000299), Elem(4,2,0.029925), Elem(4,3,0.000299), Elem(4,4,0.000150), Elem(4,5,0.000100), Elem(4,6,0.000075), Elem(4,7,0.000060),
+            Elem(4,8,0.000050), Elem(11,0,0.000299), Elem(11,1,0.029925), Elem(11,2,0.000299), Elem(11,3,0.000150), Elem(11,4,0.000100), Elem(11,5,0.000075), Elem(11,6,0.000060),
+            Elem(11,7,0.000050), Elem(11,8,0.000043), Elem(16,0,0.000045), Elem(16,1,0.000067), Elem(16,2,0.000134), Elem(16,3,0.013367), Elem(16,4,0.000134), Elem(16,5,0.000067),
+            Elem(16,6,0.000045), Elem(16,7,0.000033), Elem(16,8,0.000027), Elem(23,0,0.000033), Elem(23,1,0.000045), Elem(23,2,0.000067), Elem(23,3,0.000134), Elem(23,4,0.013367),
+            Elem(23,5,0.000134), Elem(23,6,0.000067), Elem(23,7,0.000045), Elem(23,8,0.000033), Elem(28,0,0.015002), Elem(28,1,0.000200), Elem(28,2,0.000141), Elem(28,3,0.000150),
+            Elem(28,4,0.000237), Elem(28,5,0.020030), Elem(28,6,0.000225), Elem(28,7,0.000121), Elem(28,8,0.000085), Elem(32,0,0.000033), Elem(32,1,0.000040), Elem(32,2,0.000050),
+            Elem(32,3,0.000067), Elem(32,4,0.000100), Elem(32,5,0.000200), Elem(32,6,0.020000), Elem(32,7,0.000200), Elem(32,8,0.000100), Elem(33,2,0.000017), Elem(33,3,0.000020),
+            Elem(33,4,0.000025), Elem(33,5,0.000033), Elem(33,6,0.000050), Elem(33,7,0.000100), Elem(33,8,0.010000), Elem(35,0,0.000029), Elem(35,1,0.000033), Elem(35,2,0.000040),
+            Elem(35,3,0.000050), Elem(35,4,0.000067), Elem(35,5,0.000100), Elem(35,6,0.000200), Elem(35,7,0.020000), Elem(35,8,0.000200), Elem(40,0,1.481273), Elem(40,1,0.014813),
+            Elem(40,2,0.007406), Elem(40,3,0.004938), Elem(40,4,0.003703), Elem(40,5,0.002963), Elem(40,6,0.002469), Elem(40,7,0.002116), Elem(40,8,0.001852), Elem(45,2,0.000017),
+            Elem(45,3,0.000020), Elem(45,4,0.000025), Elem(45,5,0.000033), Elem(45,6,0.000050), Elem(45,7,0.000100), Elem(45,8,0.010000), Elem(47,0,0.015112), Elem(47,1,0.015112),
+            Elem(47,2,0.000224), Elem(47,3,0.000125), Elem(47,4,0.000087), Elem(47,5,0.000067), Elem(47,6,0.000055), Elem(47,7,0.000046), Elem(47,8,0.000040), Elem(52,0,0.007419),
+            Elem(52,1,0.014827), Elem(52,2,1.481290), Elem(52,3,0.014833), Elem(52,4,0.007431), Elem(52,5,0.004971), Elem(52,6,0.003753), Elem(52,7,0.003063), Elem(52,8,0.012469),
+            Elem(59,0,0.014813), Elem(59,1,1.481273), Elem(59,2,0.014813), Elem(59,3,0.007406), Elem(59,4,0.004938), Elem(59,5,0.003703), Elem(59,6,0.002963), Elem(59,7,0.002469),
+            Elem(59,8,0.002116), Elem(64,0,0.002226), Elem(64,1,0.003333), Elem(64,2,0.006650), Elem(64,3,0.661711), Elem(64,4,0.006717), Elem(64,5,0.013308), Elem(64,6,0.002306),
+            Elem(64,7,0.001704), Elem(64,8,0.001357), Elem(68,0,0.000017), Elem(68,1,0.000020), Elem(68,2,0.000025), Elem(68,3,0.000033), Elem(68,4,0.000050), Elem(68,5,0.000100),
+            Elem(68,6,0.010000), Elem(68,7,0.000100), Elem(68,8,0.000050), Elem(71,0,0.001668), Elem(71,1,0.002222), Elem(71,2,0.003328), Elem(71,3,0.006642), Elem(71,4,0.661694),
+            Elem(71,5,0.006667), Elem(71,6,0.003408), Elem(71,7,0.012206), Elem(71,8,0.001754), Elem(76,0,0.002002), Elem(76,1,0.002508), Elem(76,2,0.003367), Elem(76,3,0.011633),
+            Elem(76,4,0.009967), Elem(76,5,0.990033), Elem(76,6,0.009922), Elem(76,7,0.004967), Elem(76,8,0.003313), Elem(80,0,0.001650), Elem(80,1,0.001980), Elem(80,2,0.002475),
+            Elem(80,3,0.003300), Elem(80,4,0.004950), Elem(80,5,0.009900), Elem(80,6,0.990000), Elem(80,7,0.009900), Elem(80,8,0.004950), Elem(83,0,0.001431), Elem(83,1,0.001672),
+            Elem(83,2,0.002013), Elem(83,3,0.002542), Elem(83,4,0.009983), Elem(83,5,0.005017), Elem(83,6,0.009933), Elem(83,7,0.990022), Elem(83,8,0.009917), Elem(88,0,0.001312),
+            Elem(88,1,0.001564), Elem(88,2,0.016612), Elem(88,3,0.002130), Elem(88,4,0.002550), Elem(88,5,0.003350), Elem(88,6,0.004987), Elem(88,7,0.009930), Elem(88,8,0.990025),
+            },
+      { Elem(5,0,0.000150), Elem(5,1,0.000299), Elem(5,2,0.029925), Elem(5,3,0.000299), Elem(5,4,0.000150), Elem(5,5,0.000100), Elem(5,6,0.000075), Elem(5,7,0.000060),
+            Elem(5,8,0.000050), Elem(12,0,0.000299), Elem(12,1,0.029925), Elem(12,2,0.000299), Elem(12,3,0.000150), Elem(12,4,0.000100), Elem(12,5,0.000075), Elem(12,6,0.000060),
+            Elem(12,7,0.000050), Elem(12,8,0.000043), Elem(17,0,0.000045), Elem(17,1,0.000067), Elem(17,2,0.000134), Elem(17,3,0.013367), Elem(17,4,0.000134), Elem(17,5,0.000067),
+            Elem(17,6,0.000045), Elem(17,7,0.000033), Elem(17,8,0.000027), Elem(24,0,0.000033), Elem(24,1,0.000045), Elem(24,2,0.000067), Elem(24,3,0.000134), Elem(24,4,0.013367),
+            Elem(24,5,0.000134), Elem(24,6,0.000067), Elem(24,7,0.000045), Elem(24,8,0.000033), Elem(29,0,0.014976), Elem(29,1,0.000166), Elem(29,2,0.000097), Elem(29,3,0.000083),
+            Elem(29,4,0.000104), Elem(29,5,0.006713), Elem(29,6,0.000092), Elem(29,7,0.000055), Elem(29,8,0.000041), Elem(33,0,0.000033), Elem(33,1,0.000040), Elem(33,2,0.000050),
+            Elem(33,3,0.000067), Elem(33,4,0.000100), Elem(33,5,0.000200), Elem(33,6,0.020000), Elem(33,7,0.000200), Elem(33,8,0.000100), Elem(34,2,0.000017), Elem(34,3,0.000020),
+            Elem(34,4,0.000025), Elem(34,5,0.000033), Elem(34,6,0.000050), Elem(34,7,0.000100), Elem(34,8,0.010000), Elem(41,0,1.481302), Elem(41,1,0.014846), Elem(41,2,0.007446),
+            Elem(41,3,0.004988), Elem(41,4,0.003770), Elem(41,5,0.003063), Elem(41,6,0.002669), Elem(41,7,0.022116), Elem(41,8,0.002052), Elem(46,2,0.000017), Elem(46,3,0.000020),
+            Elem(46,4,0.000025), Elem(46,5,0.000033), Elem(46,6,0.000050), Elem(46,7,0.000100), Elem(46,8,0.010000), Elem(53,0,0.007419), Elem(53,1,0.014827), Elem(53,2,1.481290),
+            Elem(53,3,0.014833), Elem(53,4,0.007431), Elem(53,5,0.004971), Elem(53,6,0.003753), Elem(53,7,0.003063), Elem(53,8,0.012469), Elem(60,0,0.014829), Elem(60,1,1.481296),
+            Elem(60,2,0.014846), Elem(60,3,0.007473), Elem(60,4,0.011621), Elem(60,5,0.003770), Elem(60,6,0.002996), Elem(60,7,0.002491), Elem(60,8,0.002133), Elem(65,0,0.002206),
+            Elem(65,1,0.003308), Elem(65,2,0.006617), Elem(65,3,0.661660), Elem(65,4,0.006617), Elem(65,5,0.003308), Elem(65,6,0.002206), Elem(65,7,0.001654), Elem(65,8,0.001323),
+            Elem(69,0,0.000017), Elem(69,1,0.000020), Elem(69,2,0.000025), Elem(69,3,0.000033), Elem(69,4,0.000050), Elem(69,5,0.000100), Elem(69,6,0.010000), Elem(69,7,0.000100),
+            Elem(69,8,0.000050), Elem(72,0,0.001804), Elem(72,1,0.017168), Elem(72,2,0.003458), Elem(72,3,0.006691), Elem(72,4,0.661710), Elem(72,5,0.006654), Elem(72,6,0.003338),
+            Elem(72,7,0.002230), Elem(72,8,0.001676), Elem(75,0,0.000022), Elem(75,1,0.000033), Elem(75,2,0.000067), Elem(75,3,0.006683), Elem(75,4,0.000067), Elem(75,5,0.000033),
+            Elem(75,6,0.000022), Elem(75,7,0.000017), Elem(77,0,0.001323), Elem(77,1,0.001654), Elem(77,2,0.002206), Elem(77,3,0.003308), Elem(77,4,0.006617), Elem(77,5,0.661660),
+            Elem(77,6,0.006617), Elem(77,7,0.003308), Elem(77,8,0.002206), Elem(81,0,0.001650), Elem(81,1,0.001980), Elem(81,2,0.002475), Elem(81,3,0.003300), Elem(81,4,0.004950),
+            Elem(81,5,0.009900), Elem(81,6,0.990000), Elem(81,7,0.009900), Elem(81,8,0.004950), Elem(84,0,0.031339), Elem(84,1,0.001949), Elem(84,2,0.002130), Elem(84,3,0.002575),
+            Elem(84,4,0.003375), Elem(84,5,0.005010), Elem(84,6,0.009950), Elem(84,7,0.990043), Elem(84,8,0.009937), Elem(89,0,0.001312), Elem(89,1,0.001564), Elem(89,2,0.016612),
+            Elem(89,3,0.002130), Elem(89,4,0.002550), Elem(89,5,0.003350), Elem(89,6,0.004987), Elem(89,7,0.009930), Elem(89,8,0.990025), },
+      { Elem(6,0,0.000150), Elem(6,1,0.000299), Elem(6,2,0.029925), Elem(6,3,0.000299), Elem(6,4,0.000150), Elem(6,5,0.000100), Elem(6,6,0.000075), Elem(6,7,0.000060),
+            Elem(6,8,0.000050), Elem(13,0,0.000299), Elem(13,1,0.029925), Elem(13,2,0.000299), Elem(13,3,0.000150), Elem(13,4,0.000100), Elem(13,5,0.000075), Elem(13,6,0.000060),
+            Elem(13,7,0.000050), Elem(13,8,0.000043), Elem(18,0,0.000045), Elem(18,1,0.000067), Elem(18,2,0.000134), Elem(18,3,0.013367), Elem(18,4,0.000134), Elem(18,5,0.000067),
+            Elem(18,6,0.000045), Elem(18,7,0.000033), Elem(18,8,0.000027), Elem(25,0,0.000033), Elem(25,1,0.000045), Elem(25,2,0.000067), Elem(25,3,0.000134), Elem(25,4,0.013367),
+            Elem(25,5,0.000134), Elem(25,6,0.000067), Elem(25,7,0.000045), Elem(25,8,0.000033), Elem(30,0,0.014989), Elem(30,1,0.000183), Elem(30,2,0.000119), Elem(30,3,0.000117),
+            Elem(30,4,0.000171), Elem(30,5,0.013397), Elem(30,6,0.000159), Elem(30,7,0.000088), Elem(30,8,0.000063), Elem(34,0,0.000022), Elem(34,1,0.000027), Elem(34,2,0.000033),
+            Elem(34,3,0.000045), Elem(34,4,0.000067), Elem(34,5,0.000134), Elem(34,6,0.013367), Elem(34,7,0.000134), Elem(34,8,0.000067), Elem(35,2,0.000017), Elem(35,3,0.000020),
+            Elem(35,4,0.000025), Elem(35,5,0.000033), Elem(35,6,0.000050), Elem(35,7,0.000100), Elem(35,8,0.010000), Elem(42,0,1.481302), Elem(42,1,0.014846), Elem(42,2,0.007446),
+            Elem(42,3,0.004988), Elem(42,4,0.003770), Elem(42,5,0.003063), Elem(42,6,0.002669), Elem(42,7,0.022116), Elem(42,8,0.002052), Elem(47,2,0.000017), Elem(47,3,0.000020),
+            Elem(47,4,0.000025), Elem(47,5,0.000033), Elem(47,6,0.000050), Elem(47,7,0.000100), Elem(47,8,0.010000), Elem(49,1,0.000017), Elem(49,2,0.000020), Elem(49,3,0.000025),
+            Elem(49,4,0.000033), Elem(49,5,0.000050), Elem(49,6,0.000100), Elem(49,7,0.010000), Elem(49,8,0.000100), Elem(54,0,0.007419), Elem(54,1,0.014827), Elem(54,2,1.481290),
+            Elem(54,3,0.014833), Elem(54,4,0.007431), Elem(54,5,0.004971), Elem(54,6,0.003753), Elem(54,7,0.003063), Elem(54,8,0.012469), Elem(61,0,0.014829), Elem(61,1,1.481296),
+            Elem(61,2,0.014846), Elem(61,3,0.007473), Elem(61,4,0.011621), Elem(61,5,0.003770), Elem(61,6,0.002996), Elem(61,7,0.002491), Elem(61,8,0.002133), Elem(66,0,0.002219),
+            Elem(66,1,0.003325), Elem(66,2,0.006639), Elem(66,3,0.661694), Elem(66,4,0.006683), Elem(66,5,0.009992), Elem(66,6,0.002272), Elem(66,7,0.001688), Elem(66,8,0.001346),
+            Elem(70,2,0.000017), Elem(70,3,0.000022), Elem(70,4,0.000033), Elem(70,5,0.000067), Elem(70,6,0.006683), Elem(70,7,0.000067), Elem(70,8,0.000033), Elem(73,0,0.001804),
+            Elem(73,1,0.017168), Elem(73,2,0.003458), Elem(73,3,0.006691), Elem(73,4,0.661710), Elem(73,5,0.006654), Elem(73,6,0.003338), Elem(73,7,0.002230), Elem(73,8,0.001676),
+            Elem(78,0,0.001346), Elem(78,1,0.001688), Elem(78,2,0.002272), Elem(78,3,0.009992), Elem(78,4,0.006683), Elem(78,5,0.661694), Elem(78,6,0.006639), Elem(78,7,0.003325),
+            Elem(78,8,0.002219), Elem(82,0,0.001103), Elem(82,1,0.001323), Elem(82,2,0.001654), Elem(82,3,0.002206), Elem(82,4,0.003308), Elem(82,5,0.006617), Elem(82,6,0.661660),
+            Elem(82,7,0.006617), Elem(82,8,0.003308), Elem(85,0,0.031339), Elem(85,1,0.001949), Elem(85,2,0.002130), Elem(85,3,0.002575), Elem(85,4,0.003375), Elem(85,5,0.005010),
+            Elem(85,6,0.009950), Elem(85,7,0.990043), Elem(85,8,0.009937), Elem(90,0,0.001312), Elem(90,1,0.001564), Elem(90,2,0.016612), Elem(90,3,0.002130), Elem(90,4,0.002550),
+            Elem(90,5,0.003350), Elem(90,6,0.004987), Elem(90,7,0.009930), Elem(90,8,0.990025), },
+      { Elem(7,0,0.000150), Elem(7,1,0.000299), Elem(7,2,0.029925), Elem(7,3,0.000299), Elem(7,4,0.000150), Elem(7,5,0.000100), Elem(7,6,0.000075), Elem(7,7,0.000060),
+            Elem(7,8,0.000050), Elem(14,0,0.000299), Elem(14,1,0.029925), Elem(14,2,0.000299), Elem(14,3,0.000150), Elem(14,4,0.000100), Elem(14,5,0.000075), Elem(14,6,0.000060),
+            Elem(14,7,0.000050), Elem(14,8,0.000043), Elem(19,0,0.000045), Elem(19,1,0.000067), Elem(19,2,0.000134), Elem(19,3,0.013367), Elem(19,4,0.000134), Elem(19,5,0.000067),
+            Elem(19,6,0.000045), Elem(19,7,0.000033), Elem(19,8,0.000027), Elem(26,0,0.000033), Elem(26,1,0.000045), Elem(26,2,0.000067), Elem(26,3,0.000134), Elem(26,4,0.013367),
+            Elem(26,5,0.000134), Elem(26,6,0.000067), Elem(26,7,0.000045), Elem(26,8,0.000033), Elem(31,0,0.000047), Elem(31,1,0.000057), Elem(31,2,0.000073), Elem(31,3,0.000101),
+            Elem(31,4,0.000178), Elem(31,5,0.013430), Elem(31,6,0.000245), Elem(31,7,0.006840), Elem(31,8,0.009045), Elem(35,0,0.000022), Elem(35,1,0.000027), Elem(35,2,0.000033),
+            Elem(35,3,0.000045), Elem(35,4,0.000067), Elem(35,5,0.000134), Elem(35,6,0.013367), Elem(35,7,0.000134), Elem(35,8,0.000067), Elem(36,0,0.014962), Elem(36,1,0.000150),
+            Elem(36,2,0.000075), Elem(36,3,0.000050), Elem(36,4,0.000037), Elem(36,5,0.000030), Elem(36,6,0.000025), Elem(36,7,0.000021), Elem(36,8,0.000019), Elem(43,0,1.481358),
+            Elem(43,1,0.014973), Elem(43,2,0.022382), Elem(43,3,0.005104), Elem(43,4,0.003800), Elem(43,5,0.003046), Elem(43,6,0.002573), Elem(43,7,0.008829), Elem(43,8,0.001943),
+            Elem(50,3,0.000017), Elem(50,4,0.000022), Elem(50,5,0.000033), Elem(50,6,0.000067), Elem(50,7,0.006683), Elem(50,8,0.000067), Elem(55,0,0.022369), Elem(55,1,0.014962),
+            Elem(55,2,1.481348), Elem(55,3,0.014863), Elem(55,4,0.007444), Elem(55,5,0.004968), Elem(55,6,0.003728), Elem(55,7,0.002984), Elem(55,8,0.002487), Elem(62,0,0.014829),
+            Elem(62,1,1.481296), Elem(62,2,0.014846), Elem(62,3,0.007473), Elem(62,4,0.011621), Elem(62,5,0.003770), Elem(62,6,0.002996), Elem(62,7,0.002491), Elem(62,8,0.002133),
+            Elem(67,0,0.002224), Elem(67,1,0.003331), Elem(67,2,0.006646), Elem(67,3,0.661703), Elem(67,4,0.006695), Elem(67,5,0.010007), Elem(67,6,0.002295), Elem(67,7,0.001732),
+            Elem(67,8,0.005812), Elem(71,2,0.000017), Elem(71,3,0.000022), Elem(71,4,0.000033), Elem(71,5,0.000067), Elem(71,6,0.006683), Elem(71,7,0.000067), Elem(71,8,0.000033),
+            Elem(74,0,0.001804), Elem(74,1,0.017168), Elem(74,2,0.003458), Elem(74,3,0.006691), Elem(74,4,0.661710), Elem(74,5,0.006654), Elem(74,6,0.003338), Elem(74,7,0.002230),
+            Elem(74,8,0.001676), Elem(79,0,0.001898), Elem(79,1,0.002319), Elem(79,2,0.003009), Elem(79,3,0.010876), Elem(79,4,0.007789), Elem(79,5,0.663168), Elem(79,6,0.008850),
+            Elem(79,7,0.007747), Elem(79,8,0.444436), Elem(83,0,0.001103), Elem(83,1,0.001323), Elem(83,2,0.001654), Elem(83,3,0.002206), Elem(83,4,0.003308), Elem(83,5,0.006617),
+            Elem(83,6,0.661660), Elem(83,7,0.006617), Elem(83,8,0.003308), Elem(86,0,0.015908), Elem(86,1,0.001252), Elem(86,2,0.001398), Elem(86,3,0.001704), Elem(86,4,0.002243),
+            Elem(86,5,0.003338), Elem(86,6,0.006642), Elem(86,7,0.661682), Elem(86,8,0.006635), },
+      { Elem(8,0,0.000150), Elem(8,1,0.000299), Elem(8,2,0.029925), Elem(8,3,0.000299), Elem(8,4,0.000150), Elem(8,5,0.000100), Elem(8,6,0.000075), Elem(8,7,0.000060),
+            Elem(8,8,0.000050), Elem(15,0,0.000299), Elem(15,1,0.029925), Elem(15,2,0.000299), Elem(15,3,0.000150), Elem(15,4,0.000100), Elem(15,5,0.000075), Elem(15,6,0.000060),
+            Elem(15,7,0.000050), Elem(15,8,0.000043), Elem(20,0,0.000045), Elem(20,1,0.000067), Elem(20,2,0.000134), Elem(20,3,0.013367), Elem(20,4,0.000134), Elem(20,5,0.000067),
+            Elem(20,6,0.000045), Elem(20,7,0.000033), Elem(20,8,0.000027), Elem(27,0,0.000017), Elem(27,1,0.000022), Elem(27,2,0.000033), Elem(27,3,0.000067), Elem(27,4,0.006683),
+            Elem(27,5,0.000067), Elem(27,6,0.000033), Elem(27,7,0.000022), Elem(27,8,0.000017), Elem(29,0,0.000017), Elem(29,1,0.000022), Elem(29,2,0.000033), Elem(29,3,0.000067),
+            Elem(29,4,0.006683), Elem(29,5,0.000067), Elem(29,6,0.000033), Elem(29,7,0.000022), Elem(29,8,0.000017), Elem(32,0,0.000047), Elem(32,1,0.000057), Elem(32,2,0.000073),
+            Elem(32,3,0.000101), Elem(32,4,0.000178), Elem(32,5,0.013430), Elem(32,6,0.000245), Elem(32,7,0.006840), Elem(32,8,0.009045), Elem(33,0,0.014962), Elem(33,1,0.000150),
+            Elem(33,2,0.000075), Elem(33,3,0.000050), Elem(33,4,0.000037), Elem(33,5,0.000030), Elem(33,6,0.000025), Elem(33,7,0.000021), Elem(33,8,0.000019), Elem(41,0,0.000022),
+            Elem(41,1,0.000027), Elem(41,2,0.000033), Elem(41,3,0.000045), Elem(41,4,0.000067), Elem(41,5,0.000134), Elem(41,6,0.013367), Elem(41,7,0.000134), Elem(41,8,0.000067),
+            Elem(44,0,1.481358), Elem(44,1,0.014973), Elem(44,2,0.022382), Elem(44,3,0.005104), Elem(44,4,0.003800), Elem(44,5,0.003046), Elem(44,6,0.002573), Elem(44,7,0.008829),
+            Elem(44,8,0.001943), Elem(51,3,0.000017), Elem(51,4,0.000022), Elem(51,5,0.000033), Elem(51,6,0.000067), Elem(51,7,0.006683), Elem(51,8,0.000067), Elem(56,0,0.022369),
+            Elem(56,1,0.014962), Elem(56,2,1.481348), Elem(56,3,0.014863), Elem(56,4,0.007444), Elem(56,5,0.004968), Elem(56,6,0.003728), Elem(56,7,0.002984), Elem(56,8,0.002487),
+            Elem(63,0,0.014813), Elem(63,1,1.481273), Elem(63,2,0.014813), Elem(63,3,0.007406), Elem(63,4,0.004938), Elem(63,5,0.003703), Elem(63,6,0.002963), Elem(63,7,0.002469),
+            Elem(63,8,0.002116), Elem(65,0,0.000017), Elem(65,1,0.000022), Elem(65,2,0.000033), Elem(65,3,0.000067), Elem(65,4,0.006683), Elem(65,5,0.000067), Elem(65,6,0.000033),
+            Elem(65,7,0.000022), Elem(65,8,0.000017), Elem(68,0,0.002224), Elem(68,1,0.003331), Elem(68,2,0.006646), Elem(68,3,0.661703), Elem(68,4,0.006695), Elem(68,5,0.010007),
+            Elem(68,6,0.002295), Elem(68,7,0.001732), Elem(68,8,0.005812), Elem(75,0,0.001804), Elem(75,1,0.017168), Elem(75,2,0.003458), Elem(75,3,0.006691), Elem(75,4,0.661710),
+            Elem(75,5,0.006654), Elem(75,6,0.003338), Elem(75,7,0.002230), Elem(75,8,0.001676), Elem(80,0,0.001898), Elem(80,1,0.002319), Elem(80,2,0.003009), Elem(80,3,0.010876),
+            Elem(80,4,0.007789), Elem(80,5,0.663168), Elem(80,6,0.008850), Elem(80,7,0.007747), Elem(80,8,0.444436), Elem(84,0,0.001103), Elem(84,1,0.001323), Elem(84,2,0.001654),
+            Elem(84,3,0.002206), Elem(84,4,0.003308), Elem(84,5,0.006617), Elem(84,6,0.661660), Elem(84,7,0.006617), Elem(84,8,0.003308), Elem(87,0,0.015908), Elem(87,1,0.001252),
+            Elem(87,2,0.001398), Elem(87,3,0.001704), Elem(87,4,0.002243), Elem(87,5,0.003338), Elem(87,6,0.006642), Elem(87,7,0.661682), Elem(87,8,0.006635), },
+      { Elem(9,0,0.000150), Elem(9,1,0.000299), Elem(9,2,0.029925), Elem(9,3,0.000299), Elem(9,4,0.000150), Elem(9,5,0.000100), Elem(9,6,0.000075), Elem(9,7,0.000060),
+            Elem(9,8,0.000050), Elem(16,0,0.000299), Elem(16,1,0.029925), Elem(16,2,0.000299), Elem(16,3,0.000150), Elem(16,4,0.000100), Elem(16,5,0.000075), Elem(16,6,0.000060),
+            Elem(16,7,0.000050), Elem(16,8,0.000043), Elem(21,0,0.000045), Elem(21,1,0.000067), Elem(21,2,0.000134), Elem(21,3,0.013367), Elem(21,4,0.000134), Elem(21,5,0.000067),
+            Elem(21,6,0.000045), Elem(21,7,0.000033), Elem(21,8,0.000027), Elem(28,0,0.000033), Elem(28,1,0.000045), Elem(28,2,0.000067), Elem(28,3,0.000134), Elem(28,4,0.013367),
+            Elem(28,5,0.000134), Elem(28,6,0.000067), Elem(28,7,0.000045), Elem(28,8,0.000033), Elem(33,0,0.000047), Elem(33,1,0.000057), Elem(33,2,0.000073), Elem(33,3,0.000101),
+            Elem(33,4,0.000178), Elem(33,5,0.013430), Elem(33,6,0.000245), Elem(33,7,0.006840), Elem(33,8,0.009045), Elem(38,0,0.014962), Elem(38,1,0.000150), Elem(38,2,0.000075),
+            Elem(38,3,0.000050), Elem(38,4,0.000037), Elem(38,5,0.000030), Elem(38,6,0.000025), Elem(38,7,0.000021), Elem(38,8,0.000019), Elem(42,0,0.000022), Elem(42,1,0.000027),
+            Elem(42,2,0.000033), Elem(42,3,0.000045), Elem(42,4,0.000067), Elem(42,5,0.000134), Elem(42,6,0.013367), Elem(42,7,0.000134), Elem(42,8,0.000067), Elem(45,0,1.481358),
+            Elem(45,1,0.014973), Elem(45,2,0.022382), Elem(45,3,0.005104), Elem(45,4,0.003800), Elem(45,5,0.003046), Elem(45,6,0.002573), Elem(45,7,0.008829), Elem(45,8,0.001943),
+            Elem(49,2,0.000017), Elem(49,3,0.000022), Elem(49,4,0.000033), Elem(49,5,0.000067), Elem(49,6,0.006683), Elem(49,7,0.000067), Elem(49,8,0.000033), Elem(52,3,0.000017),
+            Elem(52,4,0.000022), Elem(52,5,0.000033), Elem(52,6,0.000067), Elem(52,7,0.006683), Elem(52,8,0.000067), Elem(57,0,0.022369), Elem(57,1,0.014962), Elem(57,2,1.481348),
+            Elem(57,3,0.014863), Elem(57,4,0.007444), Elem(57,5,0.004968), Elem(57,6,0.003728), Elem(57,7,0.002984), Elem(57,8,0.002487), Elem(64,0,0.014829), Elem(64,1,1.481296),
+            Elem(64,2,0.014846), Elem(64,3,0.007473), Elem(64,4,0.011621), Elem(64,5,0.003770), Elem(64,6,0.002996), Elem(64,7,0.002491), Elem(64,8,0.002133), Elem(69,0,0.002224),
+            Elem(69,1,0.003331), Elem(69,2,0.006646), Elem(69,3,0.661703), Elem(69,4,0.006695), Elem(69,5,0.010007), Elem(69,6,0.002295), Elem(69,7,0.001732), Elem(69,8,0.005812),
+            Elem(76,0,0.001804), Elem(76,1,0.017168), Elem(76,2,0.003458), Elem(76,3,0.006691), Elem(76,4,0.661710), Elem(76,5,0.006654), Elem(76,6,0.003338), Elem(76,7,0.002230),
+            Elem(76,8,0.001676), Elem(81,0,0.001898), Elem(81,1,0.002319), Elem(81,2,0.003009), Elem(81,3,0.010876), Elem(81,4,0.007789), Elem(81,5,0.663168), Elem(81,6,0.008850),
+            Elem(81,7,0.007747), Elem(81,8,0.444436), Elem(85,0,0.001103), Elem(85,1,0.001323), Elem(85,2,0.001654), Elem(85,3,0.002206), Elem(85,4,0.003308), Elem(85,5,0.006617),
+            Elem(85,6,0.661660), Elem(85,7,0.006617), Elem(85,8,0.003308), Elem(88,0,0.015908), Elem(88,1,0.001252), Elem(88,2,0.001398), Elem(88,3,0.001704), Elem(88,4,0.002243),
+            Elem(88,5,0.003338), Elem(88,6,0.006642), Elem(88,7,0.661682), Elem(88,8,0.006635), },
+      { Elem(10,0,0.000150), Elem(10,1,0.000299), Elem(10,2,0.029925), Elem(10,3,0.000299), Elem(10,4,0.000150), Elem(10,5,0.000100), Elem(10,6,0.000075), Elem(10,7,0.000060),
+            Elem(10,8,0.000050), Elem(17,0,0.000299), Elem(17,1,0.029925), Elem(17,2,0.000299), Elem(17,3,0.000150), Elem(17,4,0.000100), Elem(17,5,0.000075), Elem(17,6,0.000060),
+            Elem(17,7,0.000050), Elem(17,8,0.000043), Elem(22,0,0.000045), Elem(22,1,0.000067), Elem(22,2,0.000134), Elem(22,3,0.013367), Elem(22,4,0.000134), Elem(22,5,0.000067),
+            Elem(22,6,0.000045), Elem(22,7,0.000033), Elem(22,8,0.000027), Elem(29,0,0.000017), Elem(29,1,0.000022), Elem(29,2,0.000033), Elem(29,3,0.000067), Elem(29,4,0.006683),
+            Elem(29,5,0.000067), Elem(29,6,0.000033), Elem(29,7,0.000022), Elem(29,8,0.000017), Elem(31,2,0.000017), Elem(31,3,0.000022), Elem(31,4,0.000033), Elem(31,5,0.000067),
+            Elem(31,6,0.006683), Elem(31,7,0.000067), Elem(31,8,0.000033), Elem(34,0,0.000047), Elem(34,1,0.000057), Elem(34,2,0.000073), Elem(34,3,0.000101), Elem(34,4,0.000178),
+            Elem(34,5,0.013430), Elem(34,6,0.000245), Elem(34,7,0.006840), Elem(34,8,0.009045), Elem(39,0,0.014962), Elem(39,1,0.000150), Elem(39,2,0.000075), Elem(39,3,0.000050),
+            Elem(39,4,0.000037), Elem(39,5,0.000030), Elem(39,6,0.000025), Elem(39,7,0.000021), Elem(39,8,0.000019), Elem(43,2,0.000017), Elem(43,3,0.000022), Elem(43,4,0.000033),
+            Elem(43,5,0.000067), Elem(43,6,0.006683), Elem(43,7,0.000067), Elem(43,8,0.000033), Elem(46,0,1.481358), Elem(46,1,0.014973), Elem(46,2,0.022382), Elem(46,3,0.005104),
+            Elem(46,4,0.003800), Elem(46,5,0.003046), Elem(46,6,0.002573), Elem(46,7,0.008829), Elem(46,8,0.001943), Elem(50,2,0.000017), Elem(50,3,0.000022), Elem(50,4,0.000033),
+            Elem(50,5,0.000067), Elem(50,6,0.006683), Elem(50,7,0.000067), Elem(50,8,0.000033), Elem(53,3,0.000017), Elem(53,4,0.000022), Elem(53,5,0.000033), Elem(53,6,0.000067),
+            Elem(53,7,0.006683), Elem(53,8,0.000067), Elem(58,0,0.022369), Elem(58,1,0.014962), Elem(58,2,1.481348), Elem(58,3,0.014863), Elem(58,4,0.007444), Elem(58,5,0.004968),
+            Elem(58,6,0.003728), Elem(58,7,0.002984), Elem(58,8,0.002487), Elem(65,0,0.014813), Elem(65,1,1.481273), Elem(65,2,0.014813), Elem(65,3,0.007406), Elem(65,4,0.004938),
+            Elem(65,5,0.003703), Elem(65,6,0.002963), Elem(65,7,0.002469), Elem(65,8,0.002116), Elem(70,0,0.002224), Elem(70,1,0.003331), Elem(70,2,0.006646), Elem(70,3,0.661703),
+            Elem(70,4,0.006695), Elem(70,5,0.010007), Elem(70,6,0.002295), Elem(70,7,0.001732), Elem(70,8,0.005812), Elem(75,0,0.000150), Elem(75,1,0.014962), Elem(75,2,0.000150),
+            Elem(75,3,0.000075), Elem(75,4,0.000050), Elem(75,5,0.000037), Elem(75,6,0.000030), Elem(75,7,0.000025), Elem(75,8,0.000021), Elem(77,0,0.001654), Elem(77,1,0.002206),
+            Elem(77,2,0.003308), Elem(77,3,0.006617), Elem(77,4,0.661660), Elem(77,5,0.006617), Elem(77,6,0.003308), Elem(77,7,0.002206), Elem(77,8,0.001654), Elem(82,0,0.001898),
+            Elem(82,1,0.002319), Elem(82,2,0.003009), Elem(82,3,0.010876), Elem(82,4,0.007789), Elem(82,5,0.663168), Elem(82,6,0.008850), Elem(82,7,0.007747), Elem(82,8,0.444436),
+            Elem(86,0,0.001103), Elem(86,1,0.001323), Elem(86,2,0.001654), Elem(86,3,0.002206), Elem(86,4,0.003308), Elem(86,5,0.006617), Elem(86,6,0.661660), Elem(86,7,0.006617),
+            Elem(86,8,0.003308), Elem(89,0,0.015908), Elem(89,1,0.001252), Elem(89,2,0.001398), Elem(89,3,0.001704), Elem(89,4,0.002243), Elem(89,5,0.003338), Elem(89,6,0.006642),
+            Elem(89,7,0.661682), Elem(89,8,0.006635), },
+      { Elem(11,0,0.000150), Elem(11,1,0.000299), Elem(11,2,0.029925), Elem(11,3,0.000299), Elem(11,4,0.000150), Elem(11,5,0.000100), Elem(11,6,0.000075), Elem(11,7,0.000060),
+            Elem(11,8,0.000050), Elem(18,0,0.000299), Elem(18,1,0.029925), Elem(18,2,0.000299), Elem(18,3,0.000150), Elem(18,4,0.000100), Elem(18,5,0.000075), Elem(18,6,0.000060),
+            Elem(18,7,0.000050), Elem(18,8,0.000043), Elem(23,0,0.000045), Elem(23,1,0.000067), Elem(23,2,0.000134), Elem(23,3,0.013367), Elem(23,4,0.000134), Elem(23,5,0.000067),
+            Elem(23,6,0.000045), Elem(23,7,0.000033), Elem(23,8,0.000027), Elem(30,0,0.000033), Elem(30,1,0.000045), Elem(30,2,0.000067), Elem(30,3,0.000134), Elem(30,4,0.013367),
+            Elem(30,5,0.000134), Elem(30,6,0.000067), Elem(30,7,0.000045), Elem(30,8,0.000033), Elem(32,2,0.000017), Elem(32,3,0.000022), Elem(32,4,0.000033), Elem(32,5,0.000067),
+            Elem(32,6,0.006683), Elem(32,7,0.000067), Elem(32,8,0.000033), Elem(35,0,0.000047), Elem(35,1,0.000057), Elem(35,2,0.000073), Elem(35,3,0.000101), Elem(35,4,0.000178),
+            Elem(35,5,0.013430), Elem(35,6,0.000245), Elem(35,7,0.006840), Elem(35,8,0.009045), Elem(40,0,0.014962), Elem(40,1,0.000150), Elem(40,2,0.000075), Elem(40,3,0.000050),
+            Elem(40,4,0.000037), Elem(40,5,0.000030), Elem(40,6,0.000025), Elem(40,7,0.000021), Elem(40,8,0.000019), Elem(44,2,0.000017), Elem(44,3,0.000022), Elem(44,4,0.000033),
+            Elem(44,5,0.000067), Elem(44,6,0.006683), Elem(44,7,0.000067), Elem(44,8,0.000033), Elem(47,0,1.481358), Elem(47,1,0.014973), Elem(47,2,0.022382), Elem(47,3,0.005104),
+            Elem(47,4,0.003800), Elem(47,5,0.003046), Elem(47,6,0.002573), Elem(47,7,0.008829), Elem(47,8,0.001943), Elem(51,2,0.000017), Elem(51,3,0.000022), Elem(51,4,0.000033),
+            Elem(51,5,0.000067), Elem(51,6,0.006683), Elem(51,7,0.000067), Elem(51,8,0.000033), Elem(54,3,0.000017), Elem(54,4,0.000022), Elem(54,5,0.000033), Elem(54,6,0.000067),
+            Elem(54,7,0.006683), Elem(54,8,0.000067), Elem(59,0,0.022369), Elem(59,1,0.014962), Elem(59,2,1.481348), Elem(59,3,0.014863), Elem(59,4,0.007444), Elem(59,5,0.004968),
+            Elem(59,6,0.003728), Elem(59,7,0.002984), Elem(59,8,0.002487), Elem(66,0,0.014829), Elem(66,1,1.481296), Elem(66,2,0.014846), Elem(66,3,0.007473), Elem(66,4,0.011621),
+            Elem(66,5,0.003770), Elem(66,6,0.002996), Elem(66,7,0.002491), Elem(66,8,0.002133), Elem(71,0,0.002224), Elem(71,1,0.003331), Elem(71,2,0.006646), Elem(71,3,0.661703),
+            Elem(71,4,0.006695), Elem(71,5,0.010007), Elem(71,6,0.002295), Elem(71,7,0.001732), Elem(71,8,0.005812), Elem(78,0,0.001804), Elem(78,1,0.017168), Elem(78,2,0.003458),
+            Elem(78,3,0.006691), Elem(78,4,0.661710), Elem(78,5,0.006654), Elem(78,6,0.003338), Elem(78,7,0.002230), Elem(78,8,0.001676), Elem(83,0,0.001898), Elem(83,1,0.002319),
+            Elem(83,2,0.003009), Elem(83,3,0.010876), Elem(83,4,0.007789), Elem(83,5,0.663168), Elem(83,6,0.008850), Elem(83,7,0.007747), Elem(83,8,0.444436), Elem(87,0,0.001103),
+            Elem(87,1,0.001323), Elem(87,2,0.001654), Elem(87,3,0.002206), Elem(87,4,0.003308), Elem(87,5,0.006617), Elem(87,6,0.661660), Elem(87,7,0.006617), Elem(87,8,0.003308),
+            Elem(90,0,0.015908), Elem(90,1,0.001252), Elem(90,2,0.001398), Elem(90,3,0.001704), Elem(90,4,0.002243), Elem(90,5,0.003338), Elem(90,6,0.006642), Elem(90,7,0.661682),
+            Elem(90,8,0.006635), },
+      { Elem(0,0,0.044774), Elem(0,1,0.000448), Elem(0,2,0.000224), Elem(0,3,0.000149), Elem(0,4,0.000112), Elem(0,5,0.000090), Elem(0,6,0.000075), Elem(0,7,0.000064),
+            Elem(0,8,0.000056), Elem(12,0,0.000150), Elem(12,1,0.000299), Elem(12,2,0.029925), Elem(12,3,0.000299), Elem(12,4,0.000150), Elem(12,5,0.000100), Elem(12,6,0.000075),
+            Elem(12,7,0.000060), Elem(12,8,0.000050), Elem(19,0,0.000299), Elem(19,1,0.029925), Elem(19,2,0.000299), Elem(19,3,0.000150), Elem(19,4,0.000100), Elem(19,5,0.000075),
+            Elem(19,6,0.000060), Elem(19,7,0.000050), Elem(19,8,0.000043), Elem(24,0,0.000045), Elem(24,1,0.000067), Elem(24,2,0.000134), Elem(24,3,0.013367), Elem(24,4,0.000134),
+            Elem(24,5,0.000067), Elem(24,6,0.000045), Elem(24,7,0.000033), Elem(24,8,0.000027), Elem(31,0,0.000046), Elem(31,1,0.000059), Elem(31,2,0.000085), Elem(31,3,0.000156),
+            Elem(31,4,0.013397), Elem(31,5,0.000178), Elem(31,6,0.000156), Elem(31,7,0.008978), Elem(31,8,0.000123), Elem(33,2,0.000017), Elem(33,3,0.000022), Elem(33,4,0.000033),
+            Elem(33,5,0.000067), Elem(33,6,0.006683), Elem(33,7,0.000067), Elem(33,8,0.000033), Elem(41,0,0.000038), Elem(41,1,0.000046), Elem(41,2,0.000059), Elem(41,3,0.000085),
+            Elem(41,4,0.000156), Elem(41,5,0.013397), Elem(41,6,0.000178), Elem(41,7,0.000156), Elem(41,8,0.008978), Elem(45,2,0.000017), Elem(45,3,0.000022), Elem(45,4,0.000033),
+            Elem(45,5,0.000067), Elem(45,6,0.006683), Elem(45,7,0.000067), Elem(45,8,0.000033), Elem(48,0,2.216334), Elem(48,1,0.022163), Elem(48,2,0.011082), Elem(48,3,0.007388),
+            Elem(48,4,0.005541), Elem(48,5,0.004433), Elem(48,6,0.003694), Elem(48,7,0.003166), Elem(48,8,0.002770), Elem(52,2,0.000017), Elem(52,3,0.000022), Elem(52,4,0.000033),
+            Elem(52,5,0.000067), Elem(52,6,0.006683), Elem(52,7,0.000067), Elem(52,8,0.000033), Elem(60,0,0.007429), Elem(60,1,0.014846), Elem(60,2,1.481340), Elem(60,3,0.021496),
+            Elem(60,4,0.007473), Elem(60,5,0.004971), Elem(60,6,0.003725), Elem(60,7,0.002979), Elem(60,8,0.002482), Elem(67,0,0.014836), Elem(67,1,1.481303), Elem(67,2,0.014855),
+            Elem(67,3,0.007484), Elem(67,4,0.011636), Elem(67,5,0.003792), Elem(67,6,0.003041), Elem(67,7,0.006958), Elem(67,8,0.002177), Elem(72,0,0.002280), Elem(72,1,0.003458),
+            Elem(72,2,0.021579), Elem(72,3,0.661810), Elem(72,4,0.006691), Elem(72,5,0.003358), Elem(72,6,0.002243), Elem(72,7,0.001684), Elem(72,8,0.001348), Elem(79,0,0.002436),
+            Elem(79,1,0.017905), Elem(79,2,0.004342), Elem(79,3,0.007797), Elem(79,4,0.663184), Elem(79,5,0.008865), Elem(79,6,0.007760), Elem(79,7,0.444447), Elem(79,8,0.006098),
+            Elem(84,0,0.001876), Elem(84,1,0.002286), Elem(84,2,0.002943), Elem(84,3,0.004193), Elem(84,4,0.007722), Elem(84,5,0.663135), Elem(84,6,0.008828), Elem(84,7,0.007730),
+            Elem(84,8,0.444422), Elem(88,0,0.001103), Elem(88,1,0.001323), Elem(88,2,0.001654), Elem(88,3,0.002206), Elem(88,4,0.003308), Elem(88,5,0.006617), Elem(88,6,0.661660),
+            Elem(88,7,0.006617), Elem(88,8,0.003308), },
+      { Elem(1,0,0.044774), Elem(1,1,0.000448), Elem(1,2,0.000224), Elem(1,3,0.000149), Elem(1,4,0.000112), Elem(1,5,0.000090), Elem(1,6,0.000075), Elem(1,7,0.000064),
+            Elem(1,8,0.000056), Elem(13,0,0.000224), Elem(13,1,0.000448), Elem(13,2,0.044774), Elem(13,3,0.000448), Elem(13,4,0.000224), Elem(13,5,0.000149), Elem(13,6,0.000112),
+            Elem(13,7,0.000090), Elem(13,8,0.000075), Elem(20,0,0.000299), Elem(20,1,0.029925), Elem(20,2,0.000299), Elem(20,3,0.000150), Elem(20,4,0.000100), Elem(20,5,0.000075),
+            Elem(20,6,0.000060), Elem(20,7,0.000050), Elem(20,8,0.000043), Elem(25,0,0.000045), Elem(25,1,0.000067), Elem(25,2,0.000134), Elem(25,3,0.013367), Elem(25,4,0.000134),
+            Elem(25,5,0.000067), Elem(25,6,0.000045), Elem(25,7,0.000033), Elem(25,8,0.000027), Elem(32,0,0.000046), Elem(32,1,0.000059), Elem(32,2,0.000085), Elem(32,3,0.000156),
+            Elem(32,4,0.013397), Elem(32,5,0.000178), Elem(32,6,0.000156), Elem(32,7,0.008978), Elem(32,8,0.000123), Elem(34,2,0.000017), Elem(34,3,0.000022), Elem(34,4,0.000033),
+            Elem(34,5,0.000067), Elem(34,6,0.006683), Elem(34,7,0.000067), Elem(34,8,0.000033), Elem(42,0,0.000038), Elem(42,1,0.000046), Elem(42,2,0.000059), Elem(42,3,0.000085),
+            Elem(42,4,0.000156), Elem(42,5,0.013397), Elem(42,6,0.000178), Elem(42,7,0.000156), Elem(42,8,0.008978), Elem(46,2,0.000017), Elem(46,3,0.000022), Elem(46,4,0.000033),
+            Elem(46,5,0.000067), Elem(46,6,0.006683), Elem(46,7,0.000067), Elem(46,8,0.000033), Elem(49,0,2.216353), Elem(49,1,0.022186), Elem(49,2,0.011111), Elem(49,3,0.007430),
+            Elem(49,4,0.005619), Elem(49,5,0.011131), Elem(49,6,0.003783), Elem(49,7,0.003244), Elem(49,8,0.007260), Elem(53,2,0.000017), Elem(53,3,0.000022), Elem(53,4,0.000033),
+            Elem(53,5,0.000067), Elem(53,6,0.006683), Elem(53,7,0.000067), Elem(53,8,0.000033), Elem(61,0,0.011104), Elem(61,1,0.022197), Elem(61,2,2.216401), Elem(61,3,0.028847),
+            Elem(61,4,0.011149), Elem(61,5,0.007421), Elem(61,6,0.005563), Elem(61,7,0.004449), Elem(61,8,0.003707), Elem(68,0,0.014836), Elem(68,1,1.481303), Elem(68,2,0.014855),
+            Elem(68,3,0.007484), Elem(68,4,0.011636), Elem(68,5,0.003792), Elem(68,6,0.003041), Elem(68,7,0.006958), Elem(68,8,0.002177), Elem(73,0,0.002317), Elem(73,1,0.003532),
+            Elem(73,2,0.029004), Elem(73,3,0.661884), Elem(73,4,0.006729), Elem(73,5,0.003383), Elem(73,6,0.002262), Elem(73,7,0.001699), Elem(73,8,0.001361), Elem(80,0,0.002436),
+            Elem(80,1,0.017905), Elem(80,2,0.004342), Elem(80,3,0.007797), Elem(80,4,0.663184), Elem(80,5,0.008865), Elem(80,6,0.007760), Elem(80,7,0.444447), Elem(80,8,0.006098),
+            Elem(85,0,0.024263), Elem(85,1,0.002510), Elem(85,2,0.003054), Elem(85,3,0.004267), Elem(85,4,0.007778), Elem(85,5,0.663179), Elem(85,6,0.008865), Elem(85,7,0.007762),
+            Elem(85,8,0.444450), Elem(89,0,0.001103), Elem(89,1,0.001323), Elem(89,2,0.001654), Elem(89,3,0.002206), Elem(89,4,0.003308), Elem(89,5,0.006617), Elem(89,6,0.661660),
+            Elem(89,7,0.006617), Elem(89,8,0.003308), },
+      { Elem(2,0,0.044774), Elem(2,1,0.000448), Elem(2,2,0.000224), Elem(2,3,0.000149), Elem(2,4,0.000112), Elem(2,5,0.000090), Elem(2,6,0.000075), Elem(2,7,0.000064),
+            Elem(2,8,0.000056), Elem(14,0,0.000224), Elem(14,1,0.000448), Elem(14,2,0.044774), Elem(14,3,0.000448), Elem(14,4,0.000224), Elem(14,5,0.000149), Elem(14,6,0.000112),
+            Elem(14,7,0.000090), Elem(14,8,0.000075), Elem(21,0,0.000448), Elem(21,1,0.044774), Elem(21,2,0.000448), Elem(21,3,0.000224), Elem(21,4,0.000149), Elem(21,5,0.000112),
+            Elem(21,6,0.000090), Elem(21,7,0.000075), Elem(21,8,0.000064), Elem(26,0,0.000045), Elem(26,1,0.000067), Elem(26,2,0.000134), Elem(26,3,0.013367), Elem(26,4,0.000134),
+            Elem(26,5,0.000067), Elem(26,6,0.000045), Elem(26,7,0.000033), Elem(26,8,0.000027), Elem(31,0,0.000019), Elem(31,1,0.000023), Elem(31,2,0.000030), Elem(31,3,0.000042),
+            Elem(31,4,0.000078), Elem(31,5,0.006698), Elem(31,6,0.000089), Elem(31,7,0.000078), Elem(31,8,0.004489), Elem(33,0,0.000035), Elem(33,1,0.000045), Elem(33,2,0.000063),
+            Elem(33,3,0.000112), Elem(33,4,0.008963), Elem(33,5,0.000134), Elem(33,6,0.000134), Elem(33,7,0.008963), Elem(33,8,0.000112), Elem(35,4,0.000022), Elem(35,5,0.000045),
+            Elem(35,6,0.004467), Elem(35,7,0.000045), Elem(35,8,0.000022), Elem(43,0,0.000019), Elem(43,1,0.000023), Elem(43,2,0.000030), Elem(43,3,0.000042), Elem(43,4,0.000078),
+            Elem(43,5,0.006698), Elem(43,6,0.000089), Elem(43,7,0.000078), Elem(43,8,0.004489), Elem(47,4,0.000022), Elem(47,5,0.000045), Elem(47,6,0.004467), Elem(47,7,0.000045),
+            Elem(47,8,0.000022), Elem(50,0,2.216353), Elem(50,1,0.022186), Elem(50,2,0.011111), Elem(50,3,0.007430), Elem(50,4,0.005619), Elem(50,5,0.011131), Elem(50,6,0.003783),
+            Elem(50,7,0.003244), Elem(50,8,0.007260), Elem(54,4,0.000022), Elem(54,5,0.000045), Elem(54,6,0.004467), Elem(54,7,0.000045), Elem(54,8,0.000022), Elem(62,0,0.011104),
+            Elem(62,1,0.022197), Elem(62,2,2.216401), Elem(62,3,0.028847), Elem(62,4,0.011149), Elem(62,5,0.007421), Elem(62,6,0.005563), Elem(62,7,0.004449), Elem(62,8,0.003707),
+            Elem(69,0,0.022181), Elem(69,1,2.216356), Elem(69,2,0.022195), Elem(69,3,0.011138), Elem(69,4,0.011870), Elem(69,5,0.005608), Elem(69,6,0.004500), Elem(69,7,0.008176),
+            Elem(69,8,0.003222), Elem(74,0,0.002317), Elem(74,1,0.003532), Elem(74,2,0.029004), Elem(74,3,0.661884), Elem(74,4,0.006729), Elem(74,5,0.003383), Elem(74,6,0.002262),
+            Elem(74,7,0.001699), Elem(74,8,0.001361), Elem(81,0,0.001961), Elem(81,1,0.024598), Elem(81,2,0.003319), Elem(81,3,0.005640), Elem(81,4,0.443765), Elem(81,5,0.006689),
+            Elem(81,6,0.006678), Elem(81,7,0.443728), Elem(81,8,0.005560), Elem(86,0,0.024263), Elem(86,1,0.002510), Elem(86,2,0.003054), Elem(86,3,0.004267), Elem(86,4,0.007778),
+            Elem(86,5,0.663179), Elem(86,6,0.008865), Elem(86,7,0.007762), Elem(86,8,0.444450), Elem(90,0,0.000737), Elem(90,1,0.000884), Elem(90,2,0.001106), Elem(90,3,0.001474),
+            Elem(90,4,0.002211), Elem(90,5,0.004422), Elem(90,6,0.442217), Elem(90,7,0.004422), Elem(90,8,0.002211), },
+      { Elem(3,0,0.044774), Elem(3,1,0.000448), Elem(3,2,0.000224), Elem(3,3,0.000149), Elem(3,4,0.000112), Elem(3,5,0.000090), Elem(3,6,0.000075), Elem(3,7,0.000064),
+            Elem(3,8,0.000056), Elem(15,0,0.000224), Elem(15,1,0.000448), Elem(15,2,0.044774), Elem(15,3,0.000448), Elem(15,4,0.000224), Elem(15,5,0.000149), Elem(15,6,0.000112),
+            Elem(15,7,0.000090), Elem(15,8,0.000075), Elem(22,0,0.000448), Elem(22,1,0.044774), Elem(22,2,0.000448), Elem(22,3,0.000224), Elem(22,4,0.000149), Elem(22,5,0.000112),
+            Elem(22,6,0.000090), Elem(22,7,0.000075), Elem(22,8,0.000064), Elem(27,0,0.000022), Elem(27,1,0.000033), Elem(27,2,0.000067), Elem(27,3,0.006683), Elem(27,4,0.000067),
+            Elem(27,5,0.000033), Elem(27,6,0.000022), Elem(27,7,0.000017), Elem(29,0,0.000022), Elem(29,1,0.000033), Elem(29,2,0.000067), Elem(29,3,0.006683), Elem(29,4,0.000067),
+            Elem(29,5,0.000033), Elem(29,6,0.000022), Elem(29,7,0.000017), Elem(31,1,0.000018), Elem(31,2,0.000022), Elem(31,3,0.000030), Elem(31,4,0.000045), Elem(31,5,0.000089),
+            Elem(31,6,0.008934), Elem(31,7,0.000089), Elem(31,8,0.000045), Elem(32,0,0.000019), Elem(32,1,0.000023), Elem(32,2,0.000030), Elem(32,3,0.000042), Elem(32,4,0.000078),
+            Elem(32,5,0.006698), Elem(32,6,0.000089), Elem(32,7,0.000078), Elem(32,8,0.004489), Elem(34,0,0.000035), Elem(34,1,0.000045), Elem(34,2,0.000063), Elem(34,3,0.000112),
+            Elem(34,4,0.008963), Elem(34,5,0.000134), Elem(34,6,0.000134), Elem(34,7,0.008963), Elem(34,8,0.000112), Elem(44,0,0.000019), Elem(44,1,0.000023), Elem(44,2,0.000030),
+            Elem(44,3,0.000042), Elem(44,4,0.000078), Elem(44,5,0.006698), Elem(44,6,0.000089), Elem(44,7,0.000078), Elem(44,8,0.004489), Elem(51,0,2.216353), Elem(51,1,0.022186),
+            Elem(51,2,0.011111), Elem(51,3,0.007430), Elem(51,4,0.005619), Elem(51,5,0.011131), Elem(51,6,0.003783), Elem(51,7,0.003244), Elem(51,8,0.007260), Elem(63,0,0.011082),
+            Elem(63,1,0.022163), Elem(63,2,2.216334), Elem(63,3,0.022163), Elem(63,4,0.011082), Elem(63,5,0.007388), Elem(63,6,0.005541), Elem(63,7,0.004433), Elem(63,8,0.003694),
+            Elem(65,0,0.000022), Elem(65,1,0.000033), Elem(65,2,0.000067), Elem(65,3,0.006683), Elem(65,4,0.000067), Elem(65,5,0.000033), Elem(65,6,0.000022), Elem(65,7,0.000017),
+            Elem(67,4,0.000022), Elem(67,5,0.000045), Elem(67,6,0.004467), Elem(67,7,0.000045), Elem(67,8,0.000022), Elem(70,0,0.022181), Elem(70,1,2.216356), Elem(70,2,0.022195),
+            Elem(70,3,0.011138), Elem(70,4,0.011870), Elem(70,5,0.005608), Elem(70,6,0.004500), Elem(70,7,0.008176), Elem(70,8,0.003222), Elem(75,0,0.002317), Elem(75,1,0.003532),
+            Elem(75,2,0.029004), Elem(75,3,0.661884), Elem(75,4,0.006729), Elem(75,5,0.003383), Elem(75,6,0.002262), Elem(75,7,0.001699), Elem(75,8,0.001361), Elem(79,0,0.000737),
+            Elem(79,1,0.000884), Elem(79,2,0.001106), Elem(79,3,0.001474), Elem(79,4,0.002211), Elem(79,5,0.004422), Elem(79,6,0.442217), Elem(79,7,0.004422), Elem(79,8,0.002211),
+            Elem(82,0,0.001961), Elem(82,1,0.024598), Elem(82,2,0.003319), Elem(82,3,0.005640), Elem(82,4,0.443765), Elem(82,5,0.006689), Elem(82,6,0.006678), Elem(82,7,0.443728),
+            Elem(82,8,0.005560), Elem(87,0,0.024263), Elem(87,1,0.002510), Elem(87,2,0.003054), Elem(87,3,0.004267), Elem(87,4,0.007778), Elem(87,5,0.663179), Elem(87,6,0.008865),
+            Elem(87,7,0.007762), Elem(87,8,0.444450), },
+      { Elem(4,0,0.044774), Elem(4,1,0.000448), Elem(4,2,0.000224), Elem(4,3,0.000149), Elem(4,4,0.000112), Elem(4,5,0.000090), Elem(4,6,0.000075), Elem(4,7,0.000064),
+            Elem(4,8,0.000056), Elem(16,0,0.000224), Elem(16,1,0.000448), Elem(16,2,0.044774), Elem(16,3,0.000448), Elem(16,4,0.000224), Elem(16,5,0.000149), Elem(16,6,0.000112),
+            Elem(16,7,0.000090), Elem(16,8,0.000075), Elem(23,0,0.000448), Elem(23,1,0.044774), Elem(23,2,0.000448), Elem(23,3,0.000224), Elem(23,4,0.000149), Elem(23,5,0.000112),
+            Elem(23,6,0.000090), Elem(23,7,0.000075), Elem(23,8,0.000064), Elem(28,0,0.000045), Elem(28,1,0.000067), Elem(28,2,0.000134), Elem(28,3,0.013367), Elem(28,4,0.000134),
+            Elem(28,5,0.000067), Elem(28,6,0.000045), Elem(28,7,0.000033), Elem(28,8,0.000027), Elem(32,1,0.000018), Elem(32,2,0.000022), Elem(32,3,0.000030), Elem(32,4,0.000045),
+            Elem(32,5,0.000089), Elem(32,6,0.008934), Elem(32,7,0.000089), Elem(32,8,0.000045), Elem(33,0,0.000019), Elem(33,1,0.000023), Elem(33,2,0.000030), Elem(33,3,0.000042),
+            Elem(33,4,0.000078), Elem(33,5,0.006698), Elem(33,6,0.000089), Elem(33,7,0.000078), Elem(33,8,0.004489), Elem(35,0,0.000035), Elem(35,1,0.000045), Elem(35,2,0.000063),
+            Elem(35,3,0.000112), Elem(35,4,0.008963), Elem(35,5,0.000134), Elem(35,6,0.000134), Elem(35,7,0.008963), Elem(35,8,0.000112), Elem(45,0,0.000019), Elem(45,1,0.000023),
+            Elem(45,2,0.000030), Elem(45,3,0.000042), Elem(45,4,0.000078), Elem(45,5,0.006698), Elem(45,6,0.000089), Elem(45,7,0.000078), Elem(45,8,0.004489), Elem(52,0,2.216353),
+            Elem(52,1,0.022186), Elem(52,2,0.011111), Elem(52,3,0.007430), Elem(52,4,0.005619), Elem(52,5,0.011131), Elem(52,6,0.003783), Elem(52,7,0.003244), Elem(52,8,0.007260),
+            Elem(64,0,0.011104), Elem(64,1,0.022197), Elem(64,2,2.216401), Elem(64,3,0.028847), Elem(64,4,0.011149), Elem(64,5,0.007421), Elem(64,6,0.005563), Elem(64,7,0.004449),
+            Elem(64,8,0.003707), Elem(68,4,0.000022), Elem(68,5,0.000045), Elem(68,6,0.004467), Elem(68,7,0.000045), Elem(68,8,0.000022), Elem(71,0,0.022181), Elem(71,1,2.216356),
+            Elem(71,2,0.022195), Elem(71,3,0.011138), Elem(71,4,0.011870), Elem(71,5,0.005608), Elem(71,6,0.004500), Elem(71,7,0.008176), Elem(71,8,0.003222), Elem(76,0,0.002317),
+            Elem(76,1,0.003532), Elem(76,2,0.029004), Elem(76,3,0.661884), Elem(76,4,0.006729), Elem(76,5,0.003383), Elem(76,6,0.002262), Elem(76,7,0.001699), Elem(76,8,0.001361),
+            Elem(80,0,0.000737), Elem(80,1,0.000884), Elem(80,2,0.001106), Elem(80,3,0.001474), Elem(80,4,0.002211), Elem(80,5,0.004422), Elem(80,6,0.442217), Elem(80,7,0.004422),
+            Elem(80,8,0.002211), Elem(83,0,0.001961), Elem(83,1,0.024598), Elem(83,2,0.003319), Elem(83,3,0.005640), Elem(83,4,0.443765), Elem(83,5,0.006689), Elem(83,6,0.006678),
+            Elem(83,7,0.443728), Elem(83,8,0.005560), Elem(88,0,0.024263), Elem(88,1,0.002510), Elem(88,2,0.003054), Elem(88,3,0.004267), Elem(88,4,0.007778), Elem(88,5,0.663179),
+            Elem(88,6,0.008865), Elem(88,7,0.007762), Elem(88,8,0.444450), },
+      { Elem(5,0,0.044774), Elem(5,1,0.000448), Elem(5,2,0.000224), Elem(5,3,0.000149), Elem(5,4,0.000112), Elem(5,5,0.000090), Elem(5,6,0.000075), Elem(5,7,0.000064),
+            Elem(5,8,0.000056), Elem(17,0,0.000224), Elem(17,1,0.000448), Elem(17,2,0.044774), Elem(17,3,0.000448), Elem(17,4,0.000224), Elem(17,5,0.000149), Elem(17,6,0.000112),
+            Elem(17,7,0.000090), Elem(17,8,0.000075), Elem(24,0,0.000448), Elem(24,1,0.044774), Elem(24,2,0.000448), Elem(24,3,0.000224), Elem(24,4,0.000149), Elem(24,5,0.000112),
+            Elem(24,6,0.000090), Elem(24,7,0.000075), Elem(24,8,0.000064), Elem(29,0,0.000022), Elem(29,1,0.000033), Elem(29,2,0.000067), Elem(29,3,0.006683), Elem(29,4,0.000067),
+            Elem(29,5,0.000033), Elem(29,6,0.000022), Elem(29,7,0.000017), Elem(33,1,0.000018), Elem(33,2,0.000022), Elem(33,3,0.000030), Elem(33,4,0.000045), Elem(33,5,0.000089),
+            Elem(33,6,0.008934), Elem(33,7,0.000089), Elem(33,8,0.000045), Elem(34,0,0.000019), Elem(34,1,0.000023), Elem(34,2,0.000030), Elem(34,3,0.000042), Elem(34,4,0.000078),
+            Elem(34,5,0.006698), Elem(34,6,0.000089), Elem(34,7,0.000078), Elem(34,8,0.004489), Elem(41,0,0.000035), Elem(41,1,0.000045), Elem(41,2,0.000063), Elem(41,3,0.000112),
+            Elem(41,4,0.008963), Elem(41,5,0.000134), Elem(41,6,0.000134), Elem(41,7,0.008963), Elem(41,8,0.000112), Elem(46,0,0.000019), Elem(46,1,0.000023), Elem(46,2,0.000030),
+            Elem(46,3,0.000042), Elem(46,4,0.000078), Elem(46,5,0.006698), Elem(46,6,0.000089), Elem(46,7,0.000078), Elem(46,8,0.004489), Elem(53,0,2.216353), Elem(53,1,0.022186),
+            Elem(53,2,0.011111), Elem(53,3,0.007430), Elem(53,4,0.005619), Elem(53,5,0.011131), Elem(53,6,0.003783), Elem(53,7,0.003244), Elem(53,8,0.007260), Elem(60,0,0.000224),
+            Elem(60,1,0.022387), Elem(60,2,0.000224), Elem(60,3,0.000112), Elem(60,4,0.000075), Elem(60,5,0.000056), Elem(60,6,0.000045), Elem(60,7,0.000037), Elem(60,8,0.000032),
+            Elem(65,0,0.011082), Elem(65,1,0.022163), Elem(65,2,2.216334), Elem(65,3,0.022163), Elem(65,4,0.011082), Elem(65,5,0.007388), Elem(65,6,0.005541), Elem(65,7,0.004433),
+            Elem(65,8,0.003694), Elem(69,4,0.000022), Elem(69,5,0.000045), Elem(69,6,0.004467), Elem(69,7,0.000045), Elem(69,8,0.000022), Elem(72,0,0.022163), Elem(72,1,2.216334),
+            Elem(72,2,0.022163), Elem(72,3,0.011082), Elem(72,4,0.007388), Elem(72,5,0.005541), Elem(72,6,0.004433), Elem(72,7,0.003694), Elem(72,8,0.003166), Elem(75,0,0.000112),
+            Elem(75,1,0.000224), Elem(75,2,0.022387), Elem(75,3,0.000224), Elem(75,4,0.000112), Elem(75,5,0.000075), Elem(75,6,0.000056), Elem(75,7,0.000045), Elem(75,8,0.000037),
+            Elem(77,0,0.002206), Elem(77,1,0.003308), Elem(77,2,0.006617), Elem(77,3,0.661660), Elem(77,4,0.006617), Elem(77,5,0.003308), Elem(77,6,0.002206), Elem(77,7,0.001654),
+            Elem(77,8,0.001323), Elem(81,0,0.000737), Elem(81,1,0.000884), Elem(81,2,0.001106), Elem(81,3,0.001474), Elem(81,4,0.002211), Elem(81,5,0.004422), Elem(81,6,0.442217),
+            Elem(81,7,0.004422), Elem(81,8,0.002211), Elem(84,0,0.001737), Elem(84,1,0.002211), Elem(84,2,0.003096), Elem(84,3,0.005528), Elem(84,4,0.443691), Elem(84,5,0.006633),
+            Elem(84,6,0.006633), Elem(84,7,0.443691), Elem(84,8,0.005528), Elem(89,0,0.024263), Elem(89,1,0.002510), Elem(89,2,0.003054), Elem(89,3,0.004267), Elem(89,4,0.007778),
+            Elem(89,5,0.663179), Elem(89,6,0.008865), Elem(89,7,0.007762), Elem(89,8,0.444450), },
+      { Elem(6,0,0.044774), Elem(6,1,0.000448), Elem(6,2,0.000224), Elem(6,3,0.000149), Elem(6,4,0.000112), Elem(6,5,0.000090), Elem(6,6,0.000075), Elem(6,7,0.000064),
+            Elem(6,8,0.000056), Elem(18,0,0.000224), Elem(18,1,0.000448), Elem(18,2,0.044774), Elem(18,3,0.000448), Elem(18,4,0.000224), Elem(18,5,0.000149), Elem(18,6,0.000112),
+            Elem(18,7,0.000090), Elem(18,8,0.000075), Elem(25,0,0.000448), Elem(25,1,0.044774), Elem(25,2,0.000448), Elem(25,3,0.000224), Elem(25,4,0.000149), Elem(25,5,0.000112),
+            Elem(25,6,0.000090), Elem(25,7,0.000075), Elem(25,8,0.000064), Elem(30,0,0.000045), Elem(30,1,0.000067), Elem(30,2,0.000134), Elem(30,3,0.013367), Elem(30,4,0.000134),
+            Elem(30,5,0.000067), Elem(30,6,0.000045), Elem(30,7,0.000033), Elem(30,8,0.000027), Elem(34,1,0.000018), Elem(34,2,0.000022), Elem(34,3,0.000030), Elem(34,4,0.000045),
+            Elem(34,5,0.000089), Elem(34,6,0.008934), Elem(34,7,0.000089), Elem(34,8,0.000045), Elem(35,1,0.000018), Elem(35,2,0.000022), Elem(35,3,0.000031), Elem(35,4,0.000056),
+            Elem(35,5,0.004482), Elem(35,6,0.000067), Elem(35,7,0.000067), Elem(35,8,0.004482), Elem(42,0,0.000035), Elem(42,1,0.000045), Elem(42,2,0.000063), Elem(42,3,0.000112),
+            Elem(42,4,0.008963), Elem(42,5,0.000134), Elem(42,6,0.000134), Elem(42,7,0.008963), Elem(42,8,0.000112), Elem(47,1,0.000018), Elem(47,2,0.000022), Elem(47,3,0.000031),
+            Elem(47,4,0.000056), Elem(47,5,0.004482), Elem(47,6,0.000067), Elem(47,7,0.000067), Elem(47,8,0.004482), Elem(49,0,0.000018), Elem(49,1,0.000022), Elem(49,2,0.000031),
+            Elem(49,3,0.000056), Elem(49,4,0.004482), Elem(49,5,0.000067), Elem(49,6,0.000067), Elem(49,7,0.004482), Elem(49,8,0.000056), Elem(54,0,2.216348), Elem(54,1,0.022181),
+            Elem(54,2,0.011104), Elem(54,3,0.007419), Elem(54,4,0.005597), Elem(54,5,0.008914), Elem(54,6,0.003761), Elem(54,7,0.003233), Elem(54,8,0.007252), Elem(61,0,0.000224),
+            Elem(61,1,0.022387), Elem(61,2,0.000224), Elem(61,3,0.000112), Elem(61,4,0.000075), Elem(61,5,0.000056), Elem(61,6,0.000045), Elem(61,7,0.000037), Elem(61,8,0.000032),
+            Elem(66,0,0.011104), Elem(66,1,0.022197), Elem(66,2,2.216401), Elem(66,3,0.028847), Elem(66,4,0.011149), Elem(66,5,0.007421), Elem(66,6,0.005563), Elem(66,7,0.004449),
+            Elem(66,8,0.003707), Elem(70,4,0.000022), Elem(70,5,0.000045), Elem(70,6,0.004467), Elem(70,7,0.000045), Elem(70,8,0.000022), Elem(73,0,0.022163), Elem(73,1,2.216334),
+            Elem(73,2,0.022163), Elem(73,3,0.011082), Elem(73,4,0.007388), Elem(73,5,0.005541), Elem(73,6,0.004433), Elem(73,7,0.003694), Elem(73,8,0.003166), Elem(78,0,0.002317),
+            Elem(78,1,0.003532), Elem(78,2,0.029004), Elem(78,3,0.661884), Elem(78,4,0.006729), Elem(78,5,0.003383), Elem(78,6,0.002262), Elem(78,7,0.001699), Elem(78,8,0.001361),
+            Elem(82,0,0.000737), Elem(82,1,0.000884), Elem(82,2,0.001106), Elem(82,3,0.001474), Elem(82,4,0.002211), Elem(82,5,0.004422), Elem(82,6,0.442217), Elem(82,7,0.004422),
+            Elem(82,8,0.002211), Elem(85,0,0.001737), Elem(85,1,0.002211), Elem(85,2,0.003096), Elem(85,3,0.005528), Elem(85,4,0.443691), Elem(85,5,0.006633), Elem(85,6,0.006633),
+            Elem(85,7,0.443691), Elem(85,8,0.005528), Elem(90,0,0.023824), Elem(90,1,0.001961), Elem(90,2,0.002323), Elem(90,3,0.003170), Elem(90,4,0.005584), Elem(90,5,0.443736),
+            Elem(90,6,0.006671), Elem(90,7,0.006665), Elem(90,8,0.443719), },
+      { Elem(7,0,0.044774), Elem(7,1,0.000448), Elem(7,2,0.000224), Elem(7,3,0.000149), Elem(7,4,0.000112), Elem(7,5,0.000090), Elem(7,6,0.000075), Elem(7,7,0.000064),
+            Elem(7,8,0.000056), Elem(19,0,0.000224), Elem(19,1,0.000448), Elem(19,2,0.044774), Elem(19,3,0.000448), Elem(19,4,0.000224), Elem(19,5,0.000149), Elem(19,6,0.000112),
+            Elem(19,7,0.000090), Elem(19,8,0.000075), Elem(26,0,0.000448), Elem(26,1,0.044774), Elem(26,2,0.000448), Elem(26,3,0.000224), Elem(26,4,0.000149), Elem(26,5,0.000112),
+            Elem(26,6,0.000090), Elem(26,7,0.000075), Elem(26,8,0.000064), Elem(31,0,0.000091), Elem(31,1,0.000124), Elem(31,2,0.000210), Elem(31,3,0.013485), Elem(31,4,0.004727),
+            Elem(31,5,0.009097), Elem(31,6,0.000246), Elem(31,7,0.004649), Elem(31,8,0.009046), Elem(35,1,0.000018), Elem(35,2,0.000022), Elem(35,3,0.000030), Elem(35,4,0.000045),
+            Elem(35,5,0.000089), Elem(35,6,0.008934), Elem(35,7,0.000089), Elem(35,8,0.000045), Elem(43,0,0.022405), Elem(43,1,0.000246), Elem(43,2,0.000143), Elem(43,3,0.000130),
+            Elem(43,4,0.004538), Elem(43,5,0.000112), Elem(43,6,0.000104), Elem(43,7,0.004514), Elem(43,8,0.000084), Elem(50,0,0.000018), Elem(50,1,0.000022), Elem(50,2,0.000031),
+            Elem(50,3,0.000056), Elem(50,4,0.004482), Elem(50,5,0.000067), Elem(50,6,0.000067), Elem(50,7,0.004482), Elem(50,8,0.000056), Elem(55,0,2.216334), Elem(55,1,0.022163),
+            Elem(55,2,0.011082), Elem(55,3,0.007388), Elem(55,4,0.005541), Elem(55,5,0.004433), Elem(55,6,0.003694), Elem(55,7,0.003166), Elem(55,8,0.002770), Elem(62,0,0.000224),
+            Elem(62,1,0.022387), Elem(62,2,0.000224), Elem(62,3,0.000112), Elem(62,4,0.000075), Elem(62,5,0.000056), Elem(62,6,0.000045), Elem(62,7,0.000037), Elem(62,8,0.000032),
+            Elem(67,0,0.011118), Elem(67,1,0.022214), Elem(67,2,2.216423), Elem(67,3,0.028878), Elem(67,4,0.011204), Elem(67,5,0.011903), Elem(67,6,0.005630), Elem(67,7,0.004516),
+            Elem(67,8,0.008189), Elem(71,4,0.000022), Elem(71,5,0.000045), Elem(71,6,0.004467), Elem(71,7,0.000045), Elem(71,8,0.000022), Elem(74,0,0.022163), Elem(74,1,2.216334),
+            Elem(74,2,0.022163), Elem(74,3,0.011082), Elem(74,4,0.007388), Elem(74,5,0.005541), Elem(74,6,0.004433), Elem(74,7,0.003694), Elem(74,8,0.003166), Elem(79,0,0.003755),
+            Elem(79,1,0.005269), Elem(79,2,0.031215), Elem(79,3,0.664980), Elem(79,4,0.012256), Elem(79,5,0.447074), Elem(79,6,0.008895), Elem(79,7,0.008332), Elem(79,8,0.445051),
+            Elem(83,0,0.000737), Elem(83,1,0.000884), Elem(83,2,0.001106), Elem(83,3,0.001474), Elem(83,4,0.002211), Elem(83,5,0.004422), Elem(83,6,0.442217), Elem(83,7,0.004422),
+            Elem(83,8,0.002211), Elem(86,0,0.001737), Elem(86,1,0.002211), Elem(86,2,0.003096), Elem(86,3,0.005528), Elem(86,4,0.443691), Elem(86,5,0.006633), Elem(86,6,0.006633),
+            Elem(86,7,0.443691), Elem(86,8,0.005528), },
+      { Elem(8,0,0.044774), Elem(8,1,0.000448), Elem(8,2,0.000224), Elem(8,3,0.000149), Elem(8,4,0.000112), Elem(8,5,0.000090), Elem(8,6,0.000075), Elem(8,7,0.000064),
+            Elem(8,8,0.000056), Elem(20,0,0.000224), Elem(20,1,0.000448), Elem(20,2,0.044774), Elem(20,3,0.000448), Elem(20,4,0.000224), Elem(20,5,0.000149), Elem(20,6,0.000112),
+            Elem(20,7,0.000090), Elem(20,8,0.000075), Elem(27,0,0.000224), Elem(27,1,0.022387), Elem(27,2,0.000224), Elem(27,3,0.000112), Elem(27,4,0.000075), Elem(27,5,0.000056),
+            Elem(27,6,0.000045), Elem(27,7,0.000037), Elem(27,8,0.000032), Elem(29,0,0.000224), Elem(29,1,0.022387), Elem(29,2,0.000224), Elem(29,3,0.000112), Elem(29,4,0.000075),
+            Elem(29,5,0.000056), Elem(29,6,0.000045), Elem(29,7,0.000037), Elem(29,8,0.000032), Elem(32,0,0.000091), Elem(32,1,0.000124), Elem(32,2,0.000210), Elem(32,3,0.013485),
+            Elem(32,4,0.004727), Elem(32,5,0.009097), Elem(32,6,0.000246), Elem(32,7,0.004649), Elem(32,8,0.009046), Elem(41,1,0.000018), Elem(41,2,0.000022), Elem(41,3,0.000030),
+            Elem(41,4,0.000045), Elem(41,5,0.000089), Elem(41,6,0.008934), Elem(41,7,0.000089), Elem(41,8,0.000045), Elem(44,0,0.022405), Elem(44,1,0.000246), Elem(44,2,0.000143),
+            Elem(44,3,0.000130), Elem(44,4,0.004538), Elem(44,5,0.000112), Elem(44,6,0.000104), Elem(44,7,0.004514), Elem(44,8,0.000084), Elem(51,0,0.000018), Elem(51,1,0.000022),
+            Elem(51,2,0.000031), Elem(51,3,0.000056), Elem(51,4,0.004482), Elem(51,5,0.000067), Elem(51,6,0.000067), Elem(51,7,0.004482), Elem(51,8,0.000056), Elem(56,0,2.216334),
+            Elem(56,1,0.022163), Elem(56,2,0.011082), Elem(56,3,0.007388), Elem(56,4,0.005541), Elem(56,5,0.004433), Elem(56,6,0.003694), Elem(56,7,0.003166), Elem(56,8,0.002770),
+            Elem(65,0,0.000224), Elem(65,1,0.022387), Elem(65,2,0.000224), Elem(65,3,0.000112), Elem(65,4,0.000075), Elem(65,5,0.000056), Elem(65,6,0.000045), Elem(65,7,0.000037),
+            Elem(65,8,0.000032), Elem(68,0,0.011118), Elem(68,1,0.022214), Elem(68,2,2.216423), Elem(68,3,0.028878), Elem(68,4,0.011204), Elem(68,5,0.011903), Elem(68,6,0.005630),
+            Elem(68,7,0.004516), Elem(68,8,0.008189), Elem(75,0,0.022163), Elem(75,1,2.216334), Elem(75,2,0.022163), Elem(75,3,0.011082), Elem(75,4,0.007388), Elem(75,5,0.005541),
+            Elem(75,6,0.004433), Elem(75,7,0.003694), Elem(75,8,0.003166), Elem(80,0,0.003755), Elem(80,1,0.005269), Elem(80,2,0.031215), Elem(80,3,0.664980), Elem(80,4,0.012256),
+            Elem(80,5,0.447074), Elem(80,6,0.008895), Elem(80,7,0.008332), Elem(80,8,0.445051), Elem(84,0,0.000737), Elem(84,1,0.000884), Elem(84,2,0.001106), Elem(84,3,0.001474),
+            Elem(84,4,0.002211), Elem(84,5,0.004422), Elem(84,6,0.442217), Elem(84,7,0.004422), Elem(84,8,0.002211), Elem(87,0,0.001737), Elem(87,1,0.002211), Elem(87,2,0.003096),
+            Elem(87,3,0.005528), Elem(87,4,0.443691), Elem(87,5,0.006633), Elem(87,6,0.006633), Elem(87,7,0.443691), Elem(87,8,0.005528), },
+      { Elem(9,0,0.044774), Elem(9,1,0.000448), Elem(9,2,0.000224), Elem(9,3,0.000149), Elem(9,4,0.000112), Elem(9,5,0.000090), Elem(9,6,0.000075), Elem(9,7,0.000064),
+            Elem(9,8,0.000056), Elem(21,0,0.000224), Elem(21,1,0.000448), Elem(21,2,0.044774), Elem(21,3,0.000448), Elem(21,4,0.000224), Elem(21,5,0.000149), Elem(21,6,0.000112),
+            Elem(21,7,0.000090), Elem(21,8,0.000075), Elem(28,0,0.000448), Elem(28,1,0.044774), Elem(28,2,0.000448), Elem(28,3,0.000224), Elem(28,4,0.000149), Elem(28,5,0.000112),
+            Elem(28,6,0.000090), Elem(28,7,0.000075), Elem(28,8,0.000064), Elem(33,0,0.000091), Elem(33,1,0.000124), Elem(33,2,0.000210), Elem(33,3,0.013485), Elem(33,4,0.004727),
+            Elem(33,5,0.009097), Elem(33,6,0.000246), Elem(33,7,0.004649), Elem(33,8,0.009046), Elem(42,1,0.000018), Elem(42,2,0.000022), Elem(42,3,0.000030), Elem(42,4,0.000045),
+            Elem(42,5,0.000089), Elem(42,6,0.008934), Elem(42,7,0.000089), Elem(42,8,0.000045), Elem(45,0,0.022405), Elem(45,1,0.000246), Elem(45,2,0.000143), Elem(45,3,0.000130),
+            Elem(45,4,0.004538), Elem(45,5,0.000112), Elem(45,6,0.000104), Elem(45,7,0.004514), Elem(45,8,0.000084), Elem(49,4,0.000022), Elem(49,5,0.000045), Elem(49,6,0.004467),
+            Elem(49,7,0.000045), Elem(49,8,0.000022), Elem(52,0,0.000018), Elem(52,1,0.000022), Elem(52,2,0.000031), Elem(52,3,0.000056), Elem(52,4,0.004482), Elem(52,5,0.000067),
+            Elem(52,6,0.000067), Elem(52,7,0.004482), Elem(52,8,0.000056), Elem(57,0,2.216334), Elem(57,1,0.022163), Elem(57,2,0.011082), Elem(57,3,0.007388), Elem(57,4,0.005541),
+            Elem(57,5,0.004433), Elem(57,6,0.003694), Elem(57,7,0.003166), Elem(57,8,0.002770), Elem(64,0,0.000224), Elem(64,1,0.022387), Elem(64,2,0.000224), Elem(64,3,0.000112),
+            Elem(64,4,0.000075), Elem(64,5,0.000056), Elem(64,6,0.000045), Elem(64,7,0.000037), Elem(64,8,0.000032), Elem(69,0,0.011118), Elem(69,1,0.022214), Elem(69,2,2.216423),
+            Elem(69,3,0.028878), Elem(69,4,0.011204), Elem(69,5,0.011903), Elem(69,6,0.005630), Elem(69,7,0.004516), Elem(69,8,0.008189), Elem(76,0,0.022163), Elem(76,1,2.216334),
+            Elem(76,2,0.022163), Elem(76,3,0.011082), Elem(76,4,0.007388), Elem(76,5,0.005541), Elem(76,6,0.004433), Elem(76,7,0.003694), Elem(76,8,0.003166), Elem(81,0,0.003755),
+            Elem(81,1,0.005269), Elem(81,2,0.031215), Elem(81,3,0.664980), Elem(81,4,0.012256), Elem(81,5,0.447074), Elem(81,6,0.008895), Elem(81,7,0.008332), Elem(81,8,0.445051),
+            Elem(85,0,0.000737), Elem(85,1,0.000884), Elem(85,2,0.001106), Elem(85,3,0.001474), Elem(85,4,0.002211), Elem(85,5,0.004422), Elem(85,6,0.442217), Elem(85,7,0.004422),
+            Elem(85,8,0.002211), Elem(88,0,0.001737), Elem(88,1,0.002211), Elem(88,2,0.003096), Elem(88,3,0.005528), Elem(88,4,0.443691), Elem(88,5,0.006633), Elem(88,6,0.006633),
+            Elem(88,7,0.443691), Elem(88,8,0.005528), },
+      { Elem(10,0,0.044774), Elem(10,1,0.000448), Elem(10,2,0.000224), Elem(10,3,0.000149), Elem(10,4,0.000112), Elem(10,5,0.000090), Elem(10,6,0.000075), Elem(10,7,0.000064),
+            Elem(10,8,0.000056), Elem(22,0,0.000224), Elem(22,1,0.000448), Elem(22,2,0.044774), Elem(22,3,0.000448), Elem(22,4,0.000224), Elem(22,5,0.000149), Elem(22,6,0.000112),
+            Elem(22,7,0.000090), Elem(22,8,0.000075), Elem(29,0,0.000224), Elem(29,1,0.022387), Elem(29,2,0.000224), Elem(29,3,0.000112), Elem(29,4,0.000075), Elem(29,5,0.000056),
+            Elem(29,6,0.000045), Elem(29,7,0.000037), Elem(29,8,0.000032), Elem(31,4,0.000022), Elem(31,5,0.000045), Elem(31,6,0.004467), Elem(31,7,0.000045), Elem(31,8,0.000022),
+            Elem(34,0,0.000091), Elem(34,1,0.000124), Elem(34,2,0.000210), Elem(34,3,0.013485), Elem(34,4,0.004727), Elem(34,5,0.009097), Elem(34,6,0.000246), Elem(34,7,0.004649),
+            Elem(34,8,0.009046), Elem(43,4,0.000022), Elem(43,5,0.000045), Elem(43,6,0.004467), Elem(43,7,0.000045), Elem(43,8,0.000022), Elem(46,0,0.022405), Elem(46,1,0.000246),
+            Elem(46,2,0.000143), Elem(46,3,0.000130), Elem(46,4,0.004538), Elem(46,5,0.000112), Elem(46,6,0.000104), Elem(46,7,0.004514), Elem(46,8,0.000084), Elem(50,4,0.000022),
+            Elem(50,5,0.000045), Elem(50,6,0.004467), Elem(50,7,0.000045), Elem(50,8,0.000022), Elem(53,0,0.000018), Elem(53,1,0.000022), Elem(53,2,0.000031), Elem(53,3,0.000056),
+            Elem(53,4,0.004482), Elem(53,5,0.000067), Elem(53,6,0.000067), Elem(53,7,0.004482), Elem(53,8,0.000056), Elem(58,0,2.216334), Elem(58,1,0.022163), Elem(58,2,0.011082),
+            Elem(58,3,0.007388), Elem(58,4,0.005541), Elem(58,5,0.004433), Elem(58,6,0.003694), Elem(58,7,0.003166), Elem(58,8,0.002770), Elem(70,0,0.011118), Elem(70,1,0.022214),
+            Elem(70,2,2.216423), Elem(70,3,0.028878), Elem(70,4,0.011204), Elem(70,5,0.011903), Elem(70,6,0.005630), Elem(70,7,0.004516), Elem(70,8,0.008189), Elem(77,0,0.022163),
+            Elem(77,1,2.216334), Elem(77,2,0.022163), Elem(77,3,0.011082), Elem(77,4,0.007388), Elem(77,5,0.005541), Elem(77,6,0.004433), Elem(77,7,0.003694), Elem(77,8,0.003166),
+            Elem(82,0,0.003755), Elem(82,1,0.005269), Elem(82,2,0.031215), Elem(82,3,0.664980), Elem(82,4,0.012256), Elem(82,5,0.447074), Elem(82,6,0.008895), Elem(82,7,0.008332),
+            Elem(82,8,0.445051), Elem(86,0,0.000737), Elem(86,1,0.000884), Elem(86,2,0.001106), Elem(86,3,0.001474), Elem(86,4,0.002211), Elem(86,5,0.004422), Elem(86,6,0.442217),
+            Elem(86,7,0.004422), Elem(86,8,0.002211), Elem(89,0,0.001737), Elem(89,1,0.002211), Elem(89,2,0.003096), Elem(89,3,0.005528), Elem(89,4,0.443691), Elem(89,5,0.006633),
+            Elem(89,6,0.006633), Elem(89,7,0.443691), Elem(89,8,0.005528), },
+      { Elem(11,0,0.044774), Elem(11,1,0.000448), Elem(11,2,0.000224), Elem(11,3,0.000149), Elem(11,4,0.000112), Elem(11,5,0.000090), Elem(11,6,0.000075), Elem(11,7,0.000064),
+            Elem(11,8,0.000056), Elem(23,0,0.000224), Elem(23,1,0.000448), Elem(23,2,0.044774), Elem(23,3,0.000448), Elem(23,4,0.000224), Elem(23,5,0.000149), Elem(23,6,0.000112),
+            Elem(23,7,0.000090), Elem(23,8,0.000075), Elem(30,0,0.000448), Elem(30,1,0.044774), Elem(30,2,0.000448), Elem(30,3,0.000224), Elem(30,4,0.000149), Elem(30,5,0.000112),
+            Elem(30,6,0.000090), Elem(30,7,0.000075), Elem(30,8,0.000064), Elem(32,4,0.000022), Elem(32,5,0.000045), Elem(32,6,0.004467), Elem(32,7,0.000045), Elem(32,8,0.000022),
+            Elem(35,0,0.000091), Elem(35,1,0.000124), Elem(35,2,0.000210), Elem(35,3,0.013485), Elem(35,4,0.004727), Elem(35,5,0.009097), Elem(35,6,0.000246), Elem(35,7,0.004649),
+            Elem(35,8,0.009046), Elem(44,4,0.000022), Elem(44,5,0.000045), Elem(44,6,0.004467), Elem(44,7,0.000045), Elem(44,8,0.000022), Elem(47,0,0.022405), Elem(47,1,0.000246),
+            Elem(47,2,0.000143), Elem(47,3,0.000130), Elem(47,4,0.004538), Elem(47,5,0.000112), Elem(47,6,0.000104), Elem(47,7,0.004514), Elem(47,8,0.000084), Elem(51,4,0.000022),
+            Elem(51,5,0.000045), Elem(51,6,0.004467), Elem(51,7,0.000045), Elem(51,8,0.000022), Elem(54,0,0.000018), Elem(54,1,0.000022), Elem(54,2,0.000031), Elem(54,3,0.000056),
+            Elem(54,4,0.004482), Elem(54,5,0.000067), Elem(54,6,0.000067), Elem(54,7,0.004482), Elem(54,8,0.000056), Elem(59,0,2.216334), Elem(59,1,0.022163), Elem(59,2,0.011082),
+            Elem(59,3,0.007388), Elem(59,4,0.005541), Elem(59,5,0.004433), Elem(59,6,0.003694), Elem(59,7,0.003166), Elem(59,8,0.002770), Elem(66,0,0.000224), Elem(66,1,0.022387),
+            Elem(66,2,0.000224), Elem(66,3,0.000112), Elem(66,4,0.000075), Elem(66,5,0.000056), Elem(66,6,0.000045), Elem(66,7,0.000037), Elem(66,8,0.000032), Elem(71,0,0.011118),
+            Elem(71,1,0.022214), Elem(71,2,2.216423), Elem(71,3,0.028878), Elem(71,4,0.011204), Elem(71,5,0.011903), Elem(71,6,0.005630), Elem(71,7,0.004516), Elem(71,8,0.008189),
+            Elem(78,0,0.022163), Elem(78,1,2.216334), Elem(78,2,0.022163), Elem(78,3,0.011082), Elem(78,4,0.007388), Elem(78,5,0.005541), Elem(78,6,0.004433), Elem(78,7,0.003694),
+            Elem(78,8,0.003166), Elem(83,0,0.003755), Elem(83,1,0.005269), Elem(83,2,0.031215), Elem(83,3,0.664980), Elem(83,4,0.012256), Elem(83,5,0.447074), Elem(83,6,0.008895),
+            Elem(83,7,0.008332), Elem(83,8,0.445051), Elem(87,0,0.000737), Elem(87,1,0.000884), Elem(87,2,0.001106), Elem(87,3,0.001474), Elem(87,4,0.002211), Elem(87,5,0.004422),
+            Elem(87,6,0.442217), Elem(87,7,0.004422), Elem(87,8,0.002211), Elem(90,0,0.001737), Elem(90,1,0.002211), Elem(90,2,0.003096), Elem(90,3,0.005528), Elem(90,4,0.443691),
+            Elem(90,5,0.006633), Elem(90,6,0.006633), Elem(90,7,0.443691), Elem(90,8,0.005528), },
+      { Elem(12,0,0.044774), Elem(12,1,0.000448), Elem(12,2,0.000224), Elem(12,3,0.000149), Elem(12,4,0.000112), Elem(12,5,0.000090), Elem(12,6,0.000075), Elem(12,7,0.000064),
+            Elem(12,8,0.000056), Elem(24,0,0.000224), Elem(24,1,0.000448), Elem(24,2,0.044774), Elem(24,3,0.000448), Elem(24,4,0.000224), Elem(24,5,0.000149), Elem(24,6,0.000112),
+            Elem(24,7,0.000090), Elem(24,8,0.000075), Elem(31,0,0.000483), Elem(31,1,0.044819), Elem(31,2,0.000510), Elem(31,3,0.000336), Elem(31,4,0.009113), Elem(31,5,0.000246),
+            Elem(31,6,0.000224), Elem(31,7,0.009038), Elem(31,8,0.000176), Elem(33,4,0.000022), Elem(33,5,0.000045), Elem(33,6,0.004467), Elem(33,7,0.000045), Elem(33,8,0.000022),
+            Elem(41,0,0.000074), Elem(41,1,0.000102), Elem(41,2,0.000178), Elem(41,3,0.013429), Elem(41,4,0.000245), Elem(41,5,0.009030), Elem(41,6,0.000179), Elem(41,7,0.000167),
+            Elem(41,8,0.008990), Elem(45,4,0.000022), Elem(45,5,0.000045), Elem(45,6,0.004467), Elem(45,7,0.000045), Elem(45,8,0.000022), Elem(52,4,0.000022), Elem(52,5,0.000045),
+            Elem(52,6,0.004467), Elem(52,7,0.000045), Elem(52,8,0.000022), Elem(60,0,2.216446), Elem(60,1,0.022387), Elem(60,2,0.033469), Elem(60,3,0.007612), Elem(60,4,0.005653),
+            Elem(60,5,0.004507), Elem(60,6,0.003750), Elem(60,7,0.003211), Elem(60,8,0.002808), Elem(67,0,0.000241), Elem(67,1,0.022410), Elem(67,2,0.000255), Elem(67,3,0.000168),
+            Elem(67,4,0.004556), Elem(67,5,0.000123), Elem(67,6,0.000112), Elem(67,7,0.004519), Elem(67,8,0.000088), Elem(72,0,0.033469), Elem(72,1,0.022387), Elem(72,2,2.216446),
+            Elem(72,3,0.022238), Elem(72,4,0.011138), Elem(72,5,0.007433), Elem(72,6,0.005578), Elem(72,7,0.004465), Elem(72,8,0.003722), Elem(79,0,0.023901), Elem(79,1,2.218545),
+            Elem(79,2,0.025259), Elem(79,3,0.016609), Elem(79,4,0.451079), Elem(79,5,0.012174), Elem(79,6,0.011066), Elem(79,7,0.447385), Elem(79,8,0.008694), Elem(84,0,0.003643),
+            Elem(84,1,0.005046), Elem(84,2,0.008828), Elem(84,3,0.664756), Elem(84,4,0.012144), Elem(84,5,0.446999), Elem(84,6,0.008839), Elem(84,7,0.008287), Elem(84,8,0.445014),
+            Elem(88,0,0.000737), Elem(88,1,0.000884), Elem(88,2,0.001106), Elem(88,3,0.001474), Elem(88,4,0.002211), Elem(88,5,0.004422), Elem(88,6,0.442217), Elem(88,7,0.004422),
+            Elem(88,8,0.002211), },
+#else
+      { Elem(12,0,0.315277), Elem(19,1,0.661660), Elem(12,2,0.443782), Elem(24,3,0.661772), Elem(31,4,2.216334), Elem(36,5,2.216417), Elem(40,6,1.481273), Elem(43,7,0.990112), Elem(48,8,0.990000) },
+      { Elem(13,0,0.315277), Elem(20,1,0.661660), Elem(13,2,0.443782), Elem(25,3,0.661660), Elem(32,4,2.216334), Elem(37,5,2.216334), Elem(41,6,1.481273), Elem(44,7,0.990000), Elem(49,8,0.990000) },
+      { Elem(14,0,0.315277), Elem(21,1,0.661660), Elem(14,2,0.443782), Elem(26,3,0.661772), Elem(33,4,2.216334), Elem(38,5,2.216417), Elem(42,6,1.481273), Elem(45,7,0.990112), Elem(50,8,0.990000) },
+      { Elem(15,0,0.315277), Elem(22,1,0.661660), Elem(15,2,0.443782), Elem(27,3,0.661772), Elem(34,4,2.216334), Elem(39,5,2.216417), Elem(43,6,1.481273), Elem(46,7,0.990112), Elem(51,8,0.990000) },
+      { Elem(16,0,0.315277), Elem(23,1,0.661660), Elem(16,2,0.443782), Elem(28,3,0.661772), Elem(35,4,2.216334), Elem(40,5,2.216417), Elem(44,6,1.481273), Elem(47,7,0.990112), Elem(52,8,0.990000) },
+      { Elem(17,0,0.315277), Elem(24,1,0.661735), Elem(17,2,0.443782), Elem(29,3,0.661772), Elem(36,4,2.216356), Elem(41,5,2.216367), Elem(45,6,1.481273), Elem(48,7,0.990000), Elem(53,8,0.990000) },
+      { Elem(18,0,0.315277), Elem(25,1,0.661660), Elem(18,2,0.443782), Elem(30,3,0.661772), Elem(37,4,2.216334), Elem(42,5,2.216367), Elem(46,6,1.481273), Elem(49,7,0.990000), Elem(54,8,0.990000) },
+      { Elem(19,0,0.315277), Elem(26,1,0.661735), Elem(19,2,0.443782), Elem(31,3,0.661660), Elem(38,4,2.216356), Elem(43,5,2.216367), Elem(47,6,1.481273), Elem(50,7,0.990000), Elem(55,8,0.990075) },
+      { Elem(20,0,0.315277), Elem(27,1,0.661735), Elem(20,2,0.443782), Elem(32,3,0.661660), Elem(39,4,2.216356), Elem(44,5,2.216367), Elem(48,6,1.481273), Elem(51,7,0.990000), Elem(56,8,0.990075) },
+      { Elem(21,0,0.315277), Elem(28,1,0.661735), Elem(21,2,0.443782), Elem(33,3,0.661660), Elem(40,4,2.216356), Elem(45,5,2.216367), Elem(49,6,1.481273), Elem(52,7,0.990000), Elem(57,8,0.990075) },
+      { Elem(22,0,0.315277), Elem(29,1,0.661735), Elem(22,2,0.443782), Elem(34,3,0.661660), Elem(41,4,2.216356), Elem(46,5,2.216367), Elem(50,6,1.481273), Elem(53,7,0.990000), Elem(58,8,0.990075) },
+      { Elem(23,0,0.315277), Elem(30,1,0.661735), Elem(23,2,0.443782), Elem(35,3,0.661660), Elem(42,4,2.216356), Elem(47,5,2.216367), Elem(51,6,1.481273), Elem(54,7,0.990000), Elem(59,8,0.990075) },
+      { Elem(12,0,0.442242), Elem(31,1,0.661660), Elem(24,2,0.442284), Elem(36,3,0.661929), Elem(43,4,2.216434), Elem(48,5,1.481273), Elem(52,6,1.481273), Elem(55,7,0.990075), Elem(60,8,0.990011) },
+      { Elem(13,0,0.442242), Elem(32,1,0.661660), Elem(25,2,0.442217), Elem(37,3,0.661660), Elem(44,4,2.216367), Elem(49,5,1.481273), Elem(53,6,1.481273), Elem(56,7,0.990075), Elem(61,8,0.990011) },
+      { Elem(14,0,0.442242), Elem(33,1,0.661660), Elem(26,2,0.442284), Elem(38,3,0.661855), Elem(45,4,1.481374), Elem(50,5,1.481273), Elem(54,6,0.990000), Elem(57,7,0.990050), Elem(62,8,0.990011) },
+      { Elem(15,0,0.442242), Elem(34,1,0.990000), Elem(27,2,0.442284), Elem(39,3,0.661855), Elem(46,4,1.481374), Elem(51,5,0.990000), Elem(55,6,0.990000), Elem(58,7,0.990050), Elem(63,8,0.990011) },
+      { Elem(16,0,0.442242), Elem(35,1,0.990000), Elem(28,2,0.442284), Elem(40,3,0.661855), Elem(47,4,1.481374), Elem(52,5,0.990000), Elem(56,6,0.990000), Elem(59,7,0.990050), Elem(64,8,0.990011) },
+      { Elem(17,0,0.661686), Elem(36,1,0.990000), Elem(29,2,0.661761), Elem(41,3,0.990067), Elem(48,4,1.481273), Elem(53,5,0.990000), Elem(57,6,0.990000), Elem(60,7,0.990000), Elem(65,8,0.990017) },
+      { Elem(18,0,0.661686), Elem(37,1,0.990000), Elem(30,2,0.661761), Elem(42,3,0.990067), Elem(49,4,1.481273), Elem(54,5,0.990000), Elem(58,6,0.990000), Elem(61,7,0.990000), Elem(66,8,0.990017) },
+      { Elem(19,0,0.661686), Elem(38,1,0.990000), Elem(31,2,0.661660), Elem(43,3,0.990050), Elem(50,4,1.481273), Elem(55,5,0.990050), Elem(59,6,0.990000), Elem(62,7,0.990000), Elem(67,8,0.990017) },
+      { Elem(20,0,0.661686), Elem(39,1,0.990000), Elem(32,2,0.661660), Elem(44,3,0.990050), Elem(51,4,0.990000), Elem(56,5,0.990050), Elem(60,6,0.990000), Elem(63,7,0.990000), Elem(68,8,0.990017) },
+      { Elem(21,0,0.661686), Elem(40,1,0.990000), Elem(33,2,0.661660), Elem(45,3,0.990050), Elem(52,4,0.990000), Elem(57,5,0.990050), Elem(61,6,0.990000), Elem(64,7,0.990000), Elem(69,8,0.990017) },
+      { Elem(22,0,0.661686), Elem(41,1,0.990000), Elem(34,2,0.990000), Elem(46,3,0.990050), Elem(53,4,0.990000), Elem(58,5,0.990050), Elem(62,6,0.990000), Elem(65,7,0.990000), Elem(70,8,0.990017) },
+      { Elem(23,0,0.661686), Elem(42,1,0.990000), Elem(35,2,0.990000), Elem(47,3,0.990050), Elem(54,4,0.990000), Elem(59,5,0.990050), Elem(63,6,0.990000), Elem(66,7,0.990000), Elem(71,8,0.990017) },
+      { Elem(24,0,0.990075), Elem(43,1,0.990133), Elem(36,2,0.990150), Elem(48,3,0.990000), Elem(55,4,0.990033), Elem(60,5,0.990033), Elem(64,6,0.990000), Elem(67,7,0.990000), Elem(72,8,0.990058) },
+      { Elem(25,0,0.990025), Elem(44,1,0.990033), Elem(37,2,0.990000), Elem(49,3,0.990000), Elem(56,4,0.990033), Elem(61,5,0.990033), Elem(65,6,0.990000), Elem(68,7,0.990000), Elem(73,8,0.990058) },
+      { Elem(26,0,0.990075), Elem(45,1,0.990133), Elem(38,2,0.990150), Elem(50,3,0.990000), Elem(57,4,0.990033), Elem(62,5,0.990033), Elem(66,6,0.990000), Elem(69,7,0.990000), Elem(74,8,0.990058) },
+      { Elem(27,0,0.990063), Elem(46,1,0.990133), Elem(39,2,0.990150), Elem(51,3,0.990000), Elem(58,4,0.990033), Elem(63,5,0.990000), Elem(67,6,0.990000), Elem(70,7,0.990000), Elem(75,8,0.990058) },
+      { Elem(28,0,0.990075), Elem(47,1,0.990133), Elem(40,2,0.990150), Elem(52,3,0.990000), Elem(59,4,0.990033), Elem(64,5,0.990033), Elem(68,6,0.990000), Elem(71,7,0.990000), Elem(76,8,0.990058) },
+      { Elem(29,0,0.990063), Elem(48,1,0.990000), Elem(41,2,0.990050), Elem(53,3,0.990000), Elem(60,4,0.990033), Elem(65,5,0.990000), Elem(69,6,0.990000), Elem(72,7,0.990033), Elem(77,8,0.990013) },
+      { Elem(30,0,0.990075), Elem(49,1,0.990000), Elem(42,2,0.990050), Elem(54,3,0.990000), Elem(61,4,0.990033), Elem(66,5,0.990033), Elem(70,6,0.990000), Elem(73,7,0.990033), Elem(78,8,0.990058) },
+      { Elem(31,0,0.990025), Elem(50,1,0.990000), Elem(43,2,0.990100), Elem(55,3,0.990100), Elem(62,4,0.990033), Elem(67,5,0.990033), Elem(71,6,0.990000), Elem(74,7,0.990033), Elem(79,8,0.990058) },
+      { Elem(32,0,0.990025), Elem(51,1,0.990000), Elem(44,2,0.990100), Elem(56,3,0.990100), Elem(63,4,0.990000), Elem(68,5,0.990033), Elem(72,6,0.990000), Elem(75,7,0.990033), Elem(80,8,0.990058) },
+      { Elem(33,0,0.990025), Elem(52,1,0.990000), Elem(45,2,0.990100), Elem(57,3,0.990100), Elem(64,4,0.990033), Elem(69,5,0.990033), Elem(73,6,0.990000), Elem(76,7,0.990033), Elem(81,8,0.990046) },
+      { Elem(34,0,0.990025), Elem(53,1,0.990000), Elem(46,2,0.990100), Elem(58,3,0.990100), Elem(65,4,0.990000), Elem(70,5,0.990033), Elem(74,6,0.990000), Elem(77,7,0.990000), Elem(82,8,0.990058) },
+      { Elem(35,0,0.990025), Elem(54,1,0.990000), Elem(47,2,0.990100), Elem(59,3,0.990100), Elem(66,4,0.990033), Elem(71,5,0.990033), Elem(75,6,0.990000), Elem(78,7,0.990033), Elem(83,8,0.990058) },
+      { Elem(36,0,1.481273), Elem(55,1,0.990000), Elem(48,2,0.990000), Elem(60,3,0.990050), Elem(67,4,0.990033), Elem(72,5,0.990050), Elem(76,6,0.990000), Elem(79,7,0.990033), Elem(84,8,0.990000) },
+      { Elem(37,0,1.481273), Elem(56,1,0.990000), Elem(49,2,1.481290), Elem(61,3,0.990050), Elem(68,4,0.990033), Elem(73,5,0.990050), Elem(77,6,0.990000), Elem(80,7,0.990033), Elem(85,8,0.990025) },
+      { Elem(38,0,1.481273), Elem(57,1,1.481273), Elem(50,2,1.481290), Elem(62,3,0.990050), Elem(69,4,0.990033), Elem(74,5,0.990050), Elem(78,6,0.990000), Elem(81,7,0.990033), Elem(86,8,0.990025) },
+      { Elem(39,0,1.481273), Elem(58,1,1.481273), Elem(51,2,1.481290), Elem(63,3,0.661660), Elem(70,4,0.990033), Elem(75,5,0.990033), Elem(79,6,0.990000), Elem(82,7,0.990033), Elem(87,8,0.990025) },
+      { Elem(40,0,1.481273), Elem(59,1,1.481273), Elem(52,2,1.481290), Elem(64,3,0.661711), Elem(71,4,0.661694), Elem(76,5,0.990033), Elem(80,6,0.990000), Elem(83,7,0.990022), Elem(88,8,0.990025) },
+      { Elem(41,0,1.481302), Elem(60,1,1.481296), Elem(53,2,1.481290), Elem(65,3,0.661660), Elem(72,4,0.661710), Elem(77,5,0.661660), Elem(81,6,0.990000), Elem(84,7,0.990043), Elem(89,8,0.990025) },
+      { Elem(42,0,1.481302), Elem(61,1,1.481296), Elem(54,2,1.481290), Elem(66,3,0.661694), Elem(73,4,0.661710), Elem(78,5,0.661694), Elem(82,6,0.661660), Elem(85,7,0.990043), Elem(90,8,0.990025) },
+      { Elem(43,0,1.481358), Elem(62,1,1.481296), Elem(55,2,1.481348), Elem(67,3,0.661703), Elem(74,4,0.661710), Elem(79,5,0.663168), Elem(83,6,0.661660), Elem(86,7,0.661682), Elem(79,8,0.444436) },
+      { Elem(44,0,1.481358), Elem(63,1,1.481273), Elem(56,2,1.481348), Elem(68,3,0.661703), Elem(75,4,0.661710), Elem(80,5,0.663168), Elem(84,6,0.661660), Elem(87,7,0.661682), Elem(80,8,0.444436) },
+      { Elem(45,0,1.481358), Elem(64,1,1.481296), Elem(57,2,1.481348), Elem(69,3,0.661703), Elem(76,4,0.661710), Elem(81,5,0.663168), Elem(85,6,0.661660), Elem(88,7,0.661682), Elem(81,8,0.444436) },
+      { Elem(46,0,1.481358), Elem(65,1,1.481273), Elem(58,2,1.481348), Elem(70,3,0.661703), Elem(77,4,0.661660), Elem(82,5,0.663168), Elem(86,6,0.661660), Elem(89,7,0.661682), Elem(82,8,0.444436) },
+      { Elem(47,0,1.481358), Elem(66,1,1.481296), Elem(59,2,1.481348), Elem(71,3,0.661703), Elem(78,4,0.661710), Elem(83,5,0.663168), Elem(87,6,0.661660), Elem(90,7,0.661682), Elem(83,8,0.444436) },
+      { Elem(48,0,2.216334), Elem(67,1,1.481303), Elem(60,2,1.481340), Elem(72,3,0.661810), Elem(79,4,0.663184), Elem(84,5,0.663135), Elem(88,6,0.661660), Elem(79,7,0.444447), Elem(84,8,0.444422) },
+      { Elem(49,0,2.216353), Elem(68,1,1.481303), Elem(61,2,2.216401), Elem(73,3,0.661884), Elem(80,4,0.663184), Elem(85,5,0.663179), Elem(89,6,0.661660), Elem(80,7,0.444447), Elem(85,8,0.444450) },
+      { Elem(50,0,2.216353), Elem(69,1,2.216356), Elem(62,2,2.216401), Elem(74,3,0.661884), Elem(81,4,0.443765), Elem(86,5,0.663179), Elem(90,6,0.442217), Elem(81,7,0.443728), Elem(86,8,0.444450) },
+      { Elem(51,0,2.216353), Elem(70,1,2.216356), Elem(63,2,2.216334), Elem(75,3,0.661884), Elem(82,4,0.443765), Elem(87,5,0.663179), Elem(79,6,0.442217), Elem(82,7,0.443728), Elem(87,8,0.444450) },
+      { Elem(52,0,2.216353), Elem(71,1,2.216356), Elem(64,2,2.216401), Elem(76,3,0.661884), Elem(83,4,0.443765), Elem(88,5,0.663179), Elem(80,6,0.442217), Elem(83,7,0.443728), Elem(88,8,0.444450) },
+      { Elem(53,0,2.216353), Elem(72,1,2.216334), Elem(65,2,2.216334), Elem(77,3,0.661660), Elem(84,4,0.443691), Elem(89,5,0.663179), Elem(81,6,0.442217), Elem(84,7,0.443691), Elem(89,8,0.444450) },
+      { Elem(54,0,2.216348), Elem(73,1,2.216334), Elem(66,2,2.216401), Elem(78,3,0.661884), Elem(85,4,0.443691), Elem(90,5,0.443736), Elem(82,6,0.442217), Elem(85,7,0.443691), Elem(90,8,0.443719) },
+      { Elem(55,0,2.216334), Elem(74,1,2.216334), Elem(67,2,2.216423), Elem(79,3,0.664980), Elem(86,4,0.443691), Elem(79,5,0.447074), Elem(83,6,0.442217), Elem(86,7,0.443691), Elem(79,8,0.445051) },
+      { Elem(56,0,2.216334), Elem(75,1,2.216334), Elem(68,2,2.216423), Elem(80,3,0.664980), Elem(87,4,0.443691), Elem(80,5,0.447074), Elem(84,6,0.442217), Elem(87,7,0.443691), Elem(80,8,0.445051) },
+      { Elem(57,0,2.216334), Elem(76,1,2.216334), Elem(69,2,2.216423), Elem(81,3,0.664980), Elem(88,4,0.443691), Elem(81,5,0.447074), Elem(85,6,0.442217), Elem(88,7,0.443691), Elem(81,8,0.445051) },
+      { Elem(58,0,2.216334), Elem(77,1,2.216334), Elem(70,2,2.216423), Elem(82,3,0.664980), Elem(89,4,0.443691), Elem(82,5,0.447074), Elem(86,6,0.442217), Elem(89,7,0.443691), Elem(82,8,0.445051) },
+      { Elem(59,0,2.216334), Elem(78,1,2.216334), Elem(71,2,2.216423), Elem(83,3,0.664980), Elem(90,4,0.443691), Elem(83,5,0.447074), Elem(87,6,0.442217), Elem(90,7,0.443691), Elem(83,8,0.445051) },
+      { Elem(60,0,2.216446), Elem(79,1,2.218545), Elem(72,2,2.216446), Elem(84,3,0.664756), Elem(79,4,0.451079), Elem(84,5,0.446999), Elem(88,6,0.442217), Elem(79,7,0.447385), Elem(84,8,0.445014) },
+#endif
+      };
 
 //---------------------------------------------------------
 //   cb2amp
@@ -63,14 +1371,16 @@ double Organ::cb2amp(int cb)
       return cb2amp_tab[cb];
       }
 
+static const int SHIFT = 10;
+static const int RESO  = 1024;
+
 //---------------------------------------------------------
 //   Organ
 //---------------------------------------------------------
 
 Organ::Organ(int sr)
-   : Mess(1)
+   : Mess2(1)
       {
-      idata = new int[NUM_CONTROLLER];
       setSampleRate(sr);
       gui = 0;
 
@@ -78,43 +1388,39 @@ Organ::Organ(int sr)
       if (useCount > 1)
             return;
 
+      resolution    = sr / 1000;
+      resolution256 = resolution << SHIFT;
+
       // centibels to amplitude conversion
       for (int i = 0; i < MAX_ATTENUATION; i++)
             cb2amp_tab[i] = pow(10.0, double(i) / -200.0);
 
-      for (int i = 0; i < 128; ++i) {
-            double freq = 8.176 * exp(double(i)*log(2.0)/12.0);
-            freq256[i]  = (int) (freq * ((double) RESOLUTION) / sr * 256.0);
+      // Initialize sine table.
+      waveTable = new float[resolution];
+      for (int i = 0; i < resolution; i++)
+            waveTable[i] = sin (i * 2.0 * M_PI / double(resolution));
+
+      // Initialize envelope tables
+
+      envSize    = sr * 4 / 1000;     // 4 msec
+      attackEnv  = new float[envSize];
+      releaseEnv = new float[envSize];
+
+      for (int i = 0; i < envSize; ++i) {
+            attackEnv[i]  = float(i) / float(envSize);
+            releaseEnv[i] = float(i) / float(envSize);
             }
-      int size  = RESOLUTION;
-      int half  = size / 2;
-      int slope = size / 10;
-      int i;
 
-      // Initialize sine table.
-      sine_table = new float[size];
-      for (i = 0; i < size; i++)
-            sine_table[i] = sin ((i * 2.0 * M_PI) / size) / 6.0;
-
-      // Initialize triangle table.
-      g_triangle_table = new float[size];
-      for (i = 0; i < half; i++)
-            g_triangle_table[i] = (4.0 / size * i - 1.0) / 6.0;
-      for (; i < size; i++)
-            g_triangle_table[i] = (4.0 / size * (size - i) - 1.0) / 6.0;
-
-      // Initialize pulse table.
-      g_pulse_table = new float[size];
-      for (i = 0; i < slope; i++)
-            g_pulse_table[i] = (((double) -i) / slope) / 6.0;
-      for (; i < half - slope; i++)
-            g_pulse_table[i] = -1.0 / 6.0;
-      for (; i < half + slope; i++)
-            g_pulse_table[i] = (((double) i - half) / slope) / 6.0;
-      for (; i < size - slope; i++)
-            g_pulse_table[i] = 1.0 / 6.0;
-      for (; i < size; i++)
-            g_pulse_table[i] = (((double) size - i) / slope) / 6.0;
+      addController("drawbar16",  DRAWBAR0,   0, 8, 8);
+      addController("drawbar513", DRAWBAR1,   0, 8, 8);
+      addController("drawbar8",   DRAWBAR2,   0, 8, 8);
+      addController("drawbar4",   DRAWBAR3,   0, 8, 0);
+      addController("drawbar223", DRAWBAR4,   0, 8, 0);
+      addController("drawbar2",   DRAWBAR5,   0, 8, 0);
+      addController("drawbar135", DRAWBAR6,   0, 8, 0);
+      addController("drawbar113", DRAWBAR7,   0, 8, 0);
+      addController("drawbar1",   DRAWBAR8,   0, 8, 0);
+      addController("volume",     CTRL_VOLUME, 0, 127, 100);
       }
 
 //---------------------------------------------------------
@@ -125,28 +1431,15 @@ Organ::~Organ()
       {
       if (gui)
             delete gui;
-      delete[] idata;
       --useCount;
       if (useCount == 0) {
-            delete[] g_pulse_table;
-            delete[] g_triangle_table;
-            delete[] sine_table;
+            delete[] waveTable;
+            delete[] attackEnv;
+            delete[] releaseEnv;
             }
       }
 
 //---------------------------------------------------------
-//   table_pos
-//---------------------------------------------------------
-
-static inline float table_pos (float* table, unsigned long freq_256, unsigned *accum)
-      {
-      *accum += freq_256;
-      while (*accum >= RESOLUTION * 256)
-            *accum -= RESOLUTION * 256;
-      return table[*accum >> 8];
-      }
-
-//---------------------------------------------------------
 //   init
 //---------------------------------------------------------
 
@@ -156,10 +1449,35 @@ bool Organ::init(const char* name)
       gui->hide();
       gui->setWindowTitle(QString(name));
 
-      for (int i = 0; i < NUM_CONTROLLER; ++i)
-            setController(0, synthCtrl[i].num, synthCtrl[i].val);
+      int idx = 0;
+      foreach(SynthCtrl* c, ctrl) {
+            setController(c->ctrl, c->init);
+            gui->setParamIdx(idx, c->init);
+            ++idx;
+            }
+
+      // see: http://www.dairiki.org/HammondWiki/GearRatio
+      static const int gearA[12] = { 85, 71,67,35,69,12,37,49,48,11,67,54 };
+      static const int gearB[12] = { 104,82,73,36,67,11,32,40,37, 8,46,35 };
+      static const int teeth[]   = { 2, 4, 8, 16, 32, 64, 128, 192 };
 
-      for (int i = 0; i < VOICES; ++i)
+      srand(22);
+      for (int i = 0; i < NO_WHEELS; ++i) {
+            int note     = i % 12;
+            int octave   = i / 12;
+            if (octave == 7)
+                  note += 5;
+            // in 60Hz organs, the motor turns at 1200 RPM (20 revolutions /sec)
+            double freq        = 20.0 * teeth[octave] * gearA[note] / gearB[note];
+            wheels[i].freq256  = lrint(freq * double(resolution256) / double(sampleRate()));
+            wheels[i].accu     = rand() % resolution256;
+            wheels[i].refCount = 0;
+            wheels[i].active   = false;
+            for (int k = 0; k < NO_BUSES; ++k)
+                  wheels[i].envCount[k] = 0;
+            }
+
+      for (int i = 0; i < NO_VOICES; ++i)
             voices[i].isOn = false;
       return false;
       }
@@ -186,151 +1504,35 @@ void Organ::process(float** ports, int offset, int sampleCount)
             }
 
       float* buffer = *ports + offset;
-      for (int i = 0; i < VOICES; ++i) {
-            Voice* v = &voices[i];
-            if (!v->isOn)
-                  continue;
-            double vol = velo ? v->velocity : 1.0;
-            vol *= volume;
-
-            unsigned freq_256 = freq256[v->pitch];
-            unsigned* harm0_accum = &(v->harm0_accum);
-            unsigned* harm1_accum = &(v->harm1_accum);
-            unsigned* harm2_accum = &(v->harm2_accum);
-            unsigned* harm3_accum = &(v->harm3_accum);
-            unsigned* harm4_accum = &(v->harm4_accum);
-            unsigned* harm5_accum = &(v->harm5_accum);
-
-            unsigned long freq_256_harm2, freq_256_harm3;
-            unsigned long freq_256_harm4, freq_256_harm5;
-
-            float* reed_table  = reed  ? g_pulse_table    : sine_table;
-            float* flute_table = flute ? g_triangle_table : sine_table;
-
-            unsigned freq_256_harm0 = freq_256 / 2;
-            unsigned freq_256_harm1 = freq_256;
-
-            if (brass) {
-                  freq_256_harm2 = freq_256       * 2;
-                  freq_256_harm3 = freq_256_harm2 * 2;
-                  freq_256_harm4 = freq_256_harm3 * 2;
-                  freq_256_harm5 = freq_256_harm4 * 2;
-                  for (int i = 0; i < sampleCount; i++) {
-                        int a1, a2;
-                        switch(v->state1) {
-                              case ATTACK:
-                                    if (v->envL1.step(&a1))
-                                          break;
-                                    v->state1 = DECAY;
-                              case DECAY:
-                                    if (v->envL2.step(&a1))
-                                          break;
-                                    v->state1 = SUSTAIN;
-                              case SUSTAIN:
-                                    a1 = sustain0;
-                                    break;
-                              case RELEASE:
-                                    if (v->envL3.step(&a1))
-                                          break;
-                                    v->state1 = OFF;
-                                    a1 = MAX_ATTENUATION;
-                                    break;
-                              }
-                        switch(v->state2) {
-                              case ATTACK:
-                                    if (v->envH1.step(&a2))
-                                          break;
-                                    v->state2 = DECAY;
-                              case DECAY:
-                                    if (v->envH2.step(&a2))
-                                          break;
-                                    v->state2 = SUSTAIN;
-                              case SUSTAIN:
-                                    a2 = sustain1;
-                                    break;
-                              case RELEASE:
-                                    if (v->envH3.step(&a2))
-                                          break;
-                                    v->state2 = OFF;
-                                    a1 = MAX_ATTENUATION;
-                                    break;
-                              }
-                        if (v->state1 == OFF && v->state2 == OFF) {
-                              v->isOn = false;
-                              break;
-                              }
-                        buffer[i] +=
-                            (table_pos (sine_table, freq_256_harm0, harm0_accum) * harm0
-                           + table_pos (sine_table, freq_256_harm1, harm1_accum) * harm1
-                           + table_pos (reed_table, freq_256_harm2, harm2_accum) * harm2)
-                              * cb2amp(a1) * vol
-                           + (table_pos (sine_table,  freq_256_harm3, harm3_accum) * harm3
-                           +  table_pos (flute_table, freq_256_harm4, harm4_accum) * harm4
-                           +  table_pos (flute_table, freq_256_harm5, harm5_accum) * harm5)
-                             * cb2amp(a2) * vol;
-                        }
-                  }
-            else {
-                  freq_256_harm2 = freq_256 * 3 / 2;
-                  freq_256_harm3 = freq_256 * 2;
-                  freq_256_harm4 = freq_256 * 3;
-                  freq_256_harm5 = freq_256_harm3 * 2;
-                  for (int i = 0; i < sampleCount; i++) {
-                        int a1, a2;
-                        switch(v->state1) {
-                              case ATTACK:
-                                    if (v->envL1.step(&a1))
-                                          break;
-                                    v->state1 = DECAY;
-                              case DECAY:
-                                    if (v->envL2.step(&a1))
-                                          break;
-                                    v->state1 = SUSTAIN;
-                              case SUSTAIN:
-                                    a1 = sustain0;
-                                    break;
-                              case RELEASE:
-                                    if (v->envL3.step(&a1))
-                                          break;
-                                    v->state1 = OFF;
-                                    a1 = MAX_ATTENUATION;
-                                    break;
+      memset(buffer, 0, sizeof(float) * sampleCount);
+      foreach(Wheel* w, activeWheels) {
+            for (int i = 0; i < sampleCount; ++i) {
+
+                  w->accu   = (w->accu + w->freq256) % resolution256;
+                  float val = waveTable[w->accu >> SHIFT];
+
+                  for (int k = 0; k < NO_BUSES; ++k) {
+                        int* envCnt = &(w->envCount[k]);
+                        if (*envCnt > 0) {
+                              (*envCnt)--;
+                              float gain = w->gain[k] - w->deltaGain[k] * w->env[k][*envCnt];
+                              buffer[i] += val * gain * drawBarGain[k];
+                              if ((*envCnt == 0) && (w->refCount == 0)) {
+                                    int idx = activeWheels.indexOf(w);
+                                    if (idx != -1) {
+                                          activeWheels.removeAt(idx);
+                                          w->active = false;
+                                          }
+                                    }
                               }
-                        switch(v->state2) {
-                              case ATTACK:
-                                    if (v->envH1.step(&a2))
-                                          break;
-                                    v->state2 = DECAY;
-                              case DECAY:
-                                    if (v->envH2.step(&a2))
-                                          break;
-                                    v->state2 = SUSTAIN;
-                              case SUSTAIN:
-                                    a2 = sustain1;
-                                    break;
-                              case RELEASE:
-                                    if (v->envH3.step(&a2))
-                                          break;
-                                    v->state2 = OFF;
-                                    a1 = MAX_ATTENUATION;
-                                    break;
+                        else {
+                              buffer[i] += val * w->gain[k] * drawBarGain[k];
                               }
-                        if (v->state1 == OFF && v->state2 == OFF) {
-                              v->isOn = false;
-                              break;
-                              }
-                        buffer[i] +=
-                           (table_pos (sine_table, freq_256_harm0, harm0_accum) * harm0
-                           + table_pos (sine_table, freq_256_harm1, harm1_accum) * harm1
-                           + table_pos (sine_table, freq_256_harm2, harm2_accum) * harm2)
-                              * cb2amp(a1) * vol
-                           + (table_pos (reed_table, freq_256_harm3, harm3_accum) * harm3
-                           + table_pos (sine_table, freq_256_harm4,  harm4_accum) * harm4
-                           + table_pos (flute_table, freq_256_harm5, harm5_accum) * harm5)
-                             * cb2amp(a2) * vol;
                         }
                   }
             }
+      for (int i = 0; i < sampleCount; ++i)
+            buffer[i] *= volume;
       }
 
 //---------------------------------------------------------
@@ -339,34 +1541,44 @@ void Organ::process(float** ports, int offset, int sampleCount)
 
 bool Organ::playNote(int channel, int pitch, int velo)
       {
+      if (pitch < 36 || pitch > 97)
+            return false;
       if (velo == 0) {
             noteoff(channel, pitch);
             return false;
             }
-      for (int i = 0; i < VOICES; ++i) {
+      int tone = pitch - 36;
+      for (int i = 0; i < NO_VOICES; ++i) {
             if (voices[i].isOn)
                   continue;
-            voices[i].isOn     = true;
-            voices[i].pitch    = pitch;
-            voices[i].channel  = channel;
-            // velo is never 0
-            voices[i].velocity = cb2amp(int(200 * log10((127.0 * 127)/(velo*velo))));
-            voices[i].state1 = ATTACK;
-            voices[i].state2 = ATTACK;
-            voices[i].envL1.set(attack0,  MAX_ATTENUATION, 0);
-            voices[i].envL2.set(decay0,   MAX_ATTENUATION, sustain0);
-            voices[i].envL3.set(release0, sustain0, MAX_ATTENUATION);
-
-            voices[i].envH1.set(attack1,  MAX_ATTENUATION, 0);
-            voices[i].envH2.set(decay1,   MAX_ATTENUATION, sustain1);
-            voices[i].envH3.set(release1, sustain1, MAX_ATTENUATION);
-
-            voices[i].harm0_accum = 0;
-            voices[i].harm1_accum = 0;
-            voices[i].harm2_accum = 0;
-            voices[i].harm3_accum = 0;
-            voices[i].harm4_accum = 0;
-            voices[i].harm5_accum = 0;
+            voices[i].isOn  = true;
+            voices[i].pitch = pitch;
+            for (int k = 0; k < NO_ELEMENTS; ++k) {
+                  const Elem* e = &routing[tone][k];
+                  if (e->bus == -1)
+                        break;
+                  Wheel* w    = &wheels[e->wheel];
+                  int bus     = e->bus;
+                  float level = e->level;
+                  if (!w->active) {
+                        for (int k = 0; k < NO_BUSES; ++k) {
+                              w->gain[k] = 0.0;
+                              w->envCount[k] = 0;
+                              }
+                        activeWheels.append(w);
+                        w->active = true;
+                        w->envCount[bus] = 0;
+                        }
+                  float deltaGain = level;
+                  if (w->envCount[bus]) {
+                        deltaGain += w->deltaGain[bus] * w->env[bus][w->envCount[bus]];
+                        }
+                  w->envCount[bus]  = envSize;
+                  w->env[bus]       = attackEnv;
+                  w->deltaGain[bus] = deltaGain;
+                  w->gain[bus]      += level;
+                  w->refCount++;
+                  }
             return false;
             }
       printf("organ: voices overflow!\n");
@@ -379,145 +1591,79 @@ bool Organ::playNote(int channel, int pitch, int velo)
 
 void Organ::noteoff(int channel, int pitch)
       {
-      bool found = false;
-      for (int i = 0; i < VOICES; ++i) {
-            if (voices[i].isOn && (voices[i].pitch == pitch)
-               && (voices[i].channel == channel)) {
-                  found = true;
-                  voices[i].state1 = RELEASE;
-                  voices[i].state2 = RELEASE;
-                  }
-            }
-      if (!found) {
-            printf("Organ: noteoff %d:%d not found\n", channel, pitch);
-            for (int i = 0; i < VOICES; ++i) {
-                  if (voices[i].isOn)
-                        printf("  %d\n", voices[i].pitch);
+      int tone = pitch - 36;
+      for (int i = 0; i < NO_VOICES; ++i) {
+            if (voices[i].isOn && (voices[i].pitch == pitch)) {
+                  voices[i].isOn = false;
+                  for (int k = 0; k < NO_ELEMENTS; ++k) {
+                        const Elem* e = &routing[tone][k];
+                        if (e->bus == -1)
+                              break;
+                        Wheel* w    = &wheels[e->wheel];
+                        int bus     = e->bus;
+                        float level = e->level;
+
+                        float deltaGain = -level;
+                        if (w->envCount[bus]) {
+                              deltaGain += w->deltaGain[bus] * w->env[bus][w->envCount[bus]];
+                              }
+                        w->envCount[bus]  = envSize;
+                        w->env[bus]       = releaseEnv;
+                        w->deltaGain[bus] = deltaGain;
+                        w->gain[bus]     -= level;
+                        if (w->refCount)
+                              w->refCount--;
+                        }
+                  return;
                   }
             }
+      printf("Organ: noteoff %d:%d not found\n", channel, pitch);
       }
 
 //---------------------------------------------------------
 //   setController
 //---------------------------------------------------------
 
-void Organ::setController(int ctrl, int data)
+void Organ::setController(int ctrlId, int data)
       {
-      int sr = sampleRate();
-      switch (ctrl) {
-            case HARM0:
-                  harm0 = cb2amp(-data);
-                  break;
-            case HARM1:
-                  harm1 = cb2amp(-data);
-                  break;
-            case HARM2:
-                  harm2 = cb2amp(-data);
-                  break;
-            case HARM3:
-                  harm3 = cb2amp(-data);
-                  break;
-            case HARM4:
-                  harm4 = cb2amp(-data);
-                  break;
-            case HARM5:
-                  harm5 = cb2amp(-data);
-                  break;
-            case ATTACK_LO:   // maxval -> 500msec
-                  attack0 = (data * sr) / 1000;
-                  break;
-            case DECAY_LO:    // maxval -> 5000msec
-                  decay0 = (data * sr) / 1000;
-                  break;
-            case SUSTAIN_LO:
-                  sustain0 = -data;
-                  break;
-            case RELEASE_LO:
-                  release0 = (data * sr) / 1000;
-                  break;
-            case ATTACK_HI:
-                  attack1 = (data * sr) / 1000;
-                  break;
-            case DECAY_HI:
-                  decay1 =  (data * sr) / 1000;
-                  break;
-            case SUSTAIN_HI:
-                  sustain1 = -data;
-                  break;
-            case RELEASE_HI:
-                  release1 = (data * sr) / 1000;
-                  break;
-            case BRASS:
-                  brass = data;
-                  break;
-            case FLUTE:
-                  flute = data;
-                  break;
-            case REED:
-                  reed  = data;
-                  break;
-            case VELO:
-                  velo = data;
+      int ctrlIdx = controllerIdx(ctrlId);
+      if (ctrlIdx != -1)
+            ctrl[ctrlIdx]->val = data;
+
+      switch (ctrlId) {
+            case DRAWBAR0 ... DRAWBAR8:
+                  {
+                  int db = ctrlId - DRAWBAR0;
+                  drawBarGain[db] = float(data) / 8.0;
+                  }
                   break;
             case CTRL_VOLUME:
                   data &= 0x7f;
                   volume = data == 0 ? 0.0 : cb2amp(int(200 * log10((127.0 * 127)/(data*data))));
+                  volume *= .04;
                   break;
             case CTRL_ALL_SOUNDS_OFF:
-                  for (int i = 0; i < VOICES; ++i)
+                  for (int i = 0; i < NO_VOICES; ++i)
                         voices[i].isOn = false;
                   break;
             case CTRL_RESET_ALL_CTRL:
-                  for (int i = 0; i < NUM_CONTROLLER; ++i)
-                        setController(0, synthCtrl[i].num, synthCtrl[i].val);
+//                  for (int i = 0; i < NUM_CONTROLLER; ++i)
+//                        setController(0, synthCtrl[i].num, synthCtrl[i].val);
                   break;
             default:
-//                  fprintf(stderr, "Organ:set unknown Ctrl 0x%x to 0x%x\n", ctrl, data);
+                  fprintf(stderr, "Organ:set unknown Ctrl 0x%x to 0x%x\n", ctrlId, data);
                   return;
             }
-      for (int i = 0; i < NUM_CONTROLLER; ++i) {
-            if (synthCtrl[i].num == ctrl) {
-                  synthCtrl[i].val = data;
-                  break;
-                  }
-            }
       }
 
 //---------------------------------------------------------
 //   setController
 //---------------------------------------------------------
 
-bool Organ::setController(int channel, int ctrl, int data)
+bool Organ::setController(int channel, int ctrlId, int data)
       {
-      setController(ctrl, data);
-
-      switch (ctrl) {
-            case HARM0:
-            case HARM1:
-            case HARM2:
-            case HARM3:
-            case HARM4:
-            case HARM5:
-            case ATTACK_LO:
-            case DECAY_LO:
-            case SUSTAIN_LO:
-            case RELEASE_LO:
-            case ATTACK_HI:
-            case DECAY_HI:
-            case SUSTAIN_HI:
-            case RELEASE_HI:
-            case BRASS:
-            case FLUTE:
-            case REED:
-            case VELO:
-                  {
-                  MidiEvent ev(0, channel, ME_CONTROLLER, ctrl, data);
-                  gui->writeEvent(ev);
-                  }
-                  break;
-            default:
-                  break;
-            }
+      MidiEvent ev(0, channel, ME_CONTROLLER, ctrlId, data);
+      gui->writeEvent(ev);
       return false;
       }
 
@@ -527,52 +1673,25 @@ bool Organ::setController(int channel, int ctrl, int data)
 
 bool Organ::sysex(int n, const unsigned char* data)
       {
-      if (unsigned(n) != (NUM_INIT_CONTROLLER * sizeof(int))) {
-            printf("Organ: unknown sysex\n");
+      int nn = ctrl.size() * sizeof(int);
+      if (nn != n) {
+            printf("unknown sysex %d %02x %02x\n", n, data[0], data[1]);
             return false;
             }
-      int* s = (int*) data;
-      for (int i = 0; i < NUM_INIT_CONTROLLER; ++i) {
-            int val = *s++;
-            setController(0, synthCtrl[i].num, val);
+      const int* s = (const int*) data;
+      for (int i = 0; i < ctrl.size(); ++i) {
+            setController(0, ctrl[i]->ctrl, *s);
+            setController(ctrl[i]->ctrl, *s);
+            s++;
             }
       return false;
       }
 
 //---------------------------------------------------------
-//   getInitData
-//---------------------------------------------------------
-
-void Organ::getInitData(int* n, const unsigned char**p)
-      {
-      int* d = idata;
-      for (int i = 0; i < NUM_INIT_CONTROLLER; ++i)
-            *d++ = synthCtrl[i].val;
-      *n = NUM_INIT_CONTROLLER * sizeof(int); // sizeof(idata);
-      *p = (unsigned char*)idata;
-      }
-
-//---------------------------------------------------------
 //   MESS
 //---------------------------------------------------------
 
 //---------------------------------------------------------
-//   getControllerInfo
-//---------------------------------------------------------
-
-int Organ::getControllerInfo(int id, const char** name, int* controller,
-   int* min, int* max)
-      {
-      if (id >= NUM_CONTROLLER)
-            return 0;
-      *controller = synthCtrl[id].num;
-      *name       = synthCtrl[id].name;
-      *min        = 0;
-      *max        = 128*128-1;
-      return ++id;
-      }
-
-//---------------------------------------------------------
 //   guiVisible
 //---------------------------------------------------------
 
diff --git a/muse/synti/organ/organ.h b/muse/synti/organ/organ.h
index ec458f10..92f63114 100644
--- a/muse/synti/organ/organ.h
+++ b/muse/synti/organ/organ.h
@@ -14,91 +14,41 @@
 #define __ORGAN_H__
 
 #include "muse/midictrl.h"
-#include "libsynti/mess.h"
-
-#define RESOLUTION   (16384*2)
-#define VOICES          128    // max polyphony
+#include "libsynti/mess2.h"
 
+static const int NO_VOICES = 128;    // max polyphony
+static const int NO_KEYS = 97 - 36;
 class OrganGui;
 
 static const int MAX_ATTENUATION = 960;
-
-enum EnvelopeState {
-      ATTACK,
-      DECAY,
-      SUSTAIN,
-      RELEASE,
-      OFF
+static const int NO_BUSES        = 9;
+static const int NO_WHEELS       = 91;
+static const int NO_ELEMENTS     = 194;
+
+enum {
+      DRAWBAR0 = CTRL_RPN14_OFFSET, DRAWBAR1, DRAWBAR2,
+         DRAWBAR3, DRAWBAR4, DRAWBAR5, DRAWBAR6, DRAWBAR7, DRAWBAR8,
+      ATTACK_LO, DECAY_LO, SUSTAIN_LO, RELEASE_LO,
+      ATTACK_HI, DECAY_HI, SUSTAIN_HI, RELEASE_HI,
+      BRASS, FLUTE, REED, VELO
       };
 
 //---------------------------------------------------------
-//   Envelope
+//   Wheel
 //---------------------------------------------------------
 
-struct Envelope {
-      int ticks;        // len of segment
-      int error, delta, schritt;
-      int y, yinc;
-
-      void set(int t, int y1, int y2) {
-            ticks   = t;
-            y       = y1;
-            int dy  = y2 - y1;
-            int dx  = t;
-            error   = -dx;
-            schritt = 2*dx;
-            if (dy < 0) {
-                  yinc = -1;
-                  delta = -2 * dy;
-                  }
-            else {
-                  yinc = 1;
-                  delta   = 2 * dy;
-                  }
-            }
-
-      // return false on envelope end
-      bool step(int* a) {
-            *a = y;
-            if (ticks == 0)
-                  return false;
-            error += delta;
-            while (error > 0) {
-                  y += yinc;
-                  error -= schritt;
-                  }
-            --ticks;
-            return true;
-            }
-      };
-
-static const int HARM0      =  0 + CTRL_RPN14_OFFSET;
-static const int HARM1      =  1 + CTRL_RPN14_OFFSET;
-static const int HARM2      =  2 + CTRL_RPN14_OFFSET;
-static const int HARM3      =  3 + CTRL_RPN14_OFFSET;
-static const int HARM4      =  4 + CTRL_RPN14_OFFSET;
-static const int HARM5      =  5 + CTRL_RPN14_OFFSET;
-static const int ATTACK_LO  =  6 + CTRL_RPN14_OFFSET;
-static const int DECAY_LO   =  7 + CTRL_RPN14_OFFSET;
-static const int SUSTAIN_LO =  8 + CTRL_RPN14_OFFSET;
-static const int RELEASE_LO =  9 + CTRL_RPN14_OFFSET;
-static const int ATTACK_HI  = 10 + CTRL_RPN14_OFFSET;
-static const int DECAY_HI   = 11 + CTRL_RPN14_OFFSET;
-static const int SUSTAIN_HI = 12 + CTRL_RPN14_OFFSET;
-static const int RELEASE_HI = 13 + CTRL_RPN14_OFFSET;
-static const int BRASS      = 14 + CTRL_RPN14_OFFSET;
-static const int FLUTE      = 15 + CTRL_RPN14_OFFSET;
-static const int REED       = 16 + CTRL_RPN14_OFFSET;
-static const int VELO       = 17 + CTRL_RPN14_OFFSET;
+struct Wheel {
+      unsigned freq256;
+      unsigned accu;
 
-//---------------------------------------------------------
-//   SynthCtrl
-//---------------------------------------------------------
+      int refCount;
+      bool active;
+      float gain[NO_BUSES];
 
-struct SynthCtrl {
-      const char* name;
-      int num;
-      int val;
+      // envelopes:
+      float* env[NO_BUSES];
+      int envCount[NO_BUSES];
+      float deltaGain[NO_BUSES];
       };
 
 //---------------------------------------------------------
@@ -108,64 +58,41 @@ struct SynthCtrl {
 struct Voice {
       bool isOn;
       int pitch;
-      int channel;
-
-      double velocity;
-
-      int state1, state2;
-      Envelope envL1, envL2, envL3;
-      Envelope envH1, envH2, envH3;
-
-      unsigned harm0_accum;
-      unsigned harm1_accum;
-      unsigned harm2_accum;
-      unsigned harm3_accum;
-      unsigned harm4_accum;
-      unsigned harm5_accum;
       };
 
-//---------------------------------------------------------
-//   Preset
-//---------------------------------------------------------
+struct Elem {
+      short wheel;
+      short bus;
+      float level;
 
-struct Preset {
-      char* name;
-      bool brass, flute, reed;
-      int attack0, attack1;
-      int release0, release1;
-      int decay0, decay1;
-      double harm0, harm1, harm2, harm3, harm4, harm5;
-      bool velo;
+      Elem() { bus = -1; }
+      Elem(short w, short b, float l) : wheel(w), bus(b), level(l) {}
       };
 
 //---------------------------------------------------------
 //   Organ
 //---------------------------------------------------------
 
-class Organ : public Mess {
+class Organ : public Mess2 {
       static int useCount;
 
+      static float* waveTable;
       static double cb2amp_tab[MAX_ATTENUATION];
-      static unsigned freq256[128];
+      static unsigned freq256[128][NO_BUSES];
       static double cb2amp(int cb);
+      static Elem routing[NO_KEYS][NO_ELEMENTS];
+      static float* attackEnv;
+      static float* releaseEnv;
+      static int envSize;
+      static int resolution;
+      static int resolution256;
 
-      int* idata;  // buffer for init data
-
-      bool brass, flute, reed;
-      int attack0, attack1;
-      int release0, release1;
-      int decay0, decay1;        // ticks
-      int sustain0, sustain1;    // centibel
-      bool velo;
       double volume;
 
-      double harm0, harm1, harm2, harm3, harm4, harm5;
-
-      Voice voices[VOICES];
-
-      static float* sine_table;
-      static float* g_triangle_table;
-      static float* g_pulse_table;
+      float drawBarGain[NO_BUSES];
+      Wheel wheels[NO_WHEELS];
+      Voice voices[NO_VOICES];
+      QList<Wheel*> activeWheels;
 
       void noteoff(int channel, int pitch);
       void setController(int ctrl, int val);
@@ -175,9 +102,6 @@ class Organ : public Mess {
       virtual bool setController(int channel, int ctrl, int val);
 	virtual bool sysex(int, const unsigned char*);
 
-      virtual int getControllerInfo(int, const char**, int*, int*, int*);
-      virtual void getInitData(int*, const unsigned char**);
-
       virtual bool guiVisible() const;
       virtual void showGui(bool);
       virtual bool hasGui() const { return true; }
@@ -187,7 +111,7 @@ class Organ : public Mess {
       OrganGui* gui;
 
    public:
-      static SynthCtrl synthCtrl[];
+      friend class OrganGui;
       Organ(int sampleRate);
       ~Organ();
       bool init(const char* name);
diff --git a/muse/synti/organ/organgui.cpp b/muse/synti/organ/organgui.cpp
index 0264a073..c00d23fb 100644
--- a/muse/synti/organ/organgui.cpp
+++ b/muse/synti/organ/organgui.cpp
@@ -6,19 +6,19 @@
 //    This is a simple GUI implemented with QT for
 //    organ software synthesizer.
 //
-//  (C) Copyright 2001-2004 Werner Schweer (ws@seh.de)
+//  (C) Copyright 2001-2007 Werner Schweer (ws@seh.de)
 //=========================================================
 
 #include "organgui.h"
 #include "muse/midi.h"
 #include "muse/midictrl.h"
+#include "awl/knob.h"
 
 //---------------------------------------------------------
 //   OrganGui
 //---------------------------------------------------------
 
 OrganGui::OrganGui()
-//   : QWidget(0, "organgui", Qt::WType_TopLevel),
    : QWidget(0),
      MessGui()
       {
@@ -26,78 +26,139 @@ OrganGui::OrganGui()
       QSocketNotifier* s = new QSocketNotifier(readFd, QSocketNotifier::Read);
       connect(s, SIGNAL(activated(int)), SLOT(readMessage(int)));
 
-      dctrl[0]  = SynthGuiCtrl(p1,  lcd1,  SynthGuiCtrl::SLIDER);
-      dctrl[1]  = SynthGuiCtrl(p2,  lcd2,  SynthGuiCtrl::SLIDER);
-      dctrl[2]  = SynthGuiCtrl(p3,  lcd3,  SynthGuiCtrl::SLIDER);
-      dctrl[3]  = SynthGuiCtrl(p4,  lcd4,  SynthGuiCtrl::SLIDER);
-      dctrl[4]  = SynthGuiCtrl(p5,  lcd5,  SynthGuiCtrl::SLIDER);
-      dctrl[5]  = SynthGuiCtrl(p6,  lcd6,  SynthGuiCtrl::SLIDER);
-      dctrl[6]  = SynthGuiCtrl(p7,  lcd7,  SynthGuiCtrl::SLIDER);
-      dctrl[7]  = SynthGuiCtrl(p8,  lcd8,  SynthGuiCtrl::SLIDER);
-      dctrl[8]  = SynthGuiCtrl(p9,  lcd9,  SynthGuiCtrl::SLIDER);
-      dctrl[9]  = SynthGuiCtrl(p10, lcd10, SynthGuiCtrl::SLIDER);
-      dctrl[10] = SynthGuiCtrl(p11, lcd11, SynthGuiCtrl::SLIDER);
-      dctrl[11] = SynthGuiCtrl(p12, lcd12, SynthGuiCtrl::SLIDER);
-      dctrl[12] = SynthGuiCtrl(p13, lcd13, SynthGuiCtrl::SLIDER);
-      dctrl[13] = SynthGuiCtrl(p14, lcd14, SynthGuiCtrl::SLIDER);
-      dctrl[14] = SynthGuiCtrl(sw1,    0,  SynthGuiCtrl::SWITCH);
-      dctrl[15] = SynthGuiCtrl(sw3,    0,  SynthGuiCtrl::SWITCH);
-      dctrl[16] = SynthGuiCtrl(sw2,    0,  SynthGuiCtrl::SWITCH);
-      dctrl[17] = SynthGuiCtrl(sw4,    0,  SynthGuiCtrl::SWITCH);
-
       map = new QSignalMapper(this);
-      for (int i = 0; i < NUM_GUI_CONTROLLER; ++i) {
-            map->setMapping(dctrl[i].editor, i);
-            if (dctrl[i].type == SynthGuiCtrl::SLIDER)
-                  connect((QSlider*)(dctrl[i].editor), SIGNAL(valueChanged(int)), map, SLOT(map()));
-            else if (dctrl[i].type == SynthGuiCtrl::SWITCH)
-                  connect((QCheckBox*)(dctrl[i].editor), SIGNAL(toggled(bool)), map, SLOT(map()));
+      QList<QWidget*> wl = findChildren<QWidget*>();
+      foreach(QWidget* w, wl) {
+            int idx = Mess2::controllerIdx(w->objectName().toAscii().data());
+            if (idx == -1)
+                  continue;
+            w->setProperty("ctrlIdx", idx);
+            map->setMapping(w, w);
+            const char* cname = w->metaObject()->className();
+            if (strcmp(cname, "QSlider") == 0) {
+                  QSlider* slider = (QSlider*)w;
+                  w->setProperty("ctrlType", 0);
+                  connect(slider, SIGNAL(valueChanged(int)), map, SLOT(map()));
+                  }
+            else if (strcmp(cname, "QCheckBox") == 0) {
+                  w->setProperty("ctrlType", 1);
+                  connect(w, SIGNAL(toggled(bool)), map, SLOT(map()));
+                  }
+            else if (strcmp(cname, "QGroupBox") == 0) {
+                  w->setProperty("ctrlType", 2);
+                  connect(w, SIGNAL(toggled(bool)), map, SLOT(map()));
+                  }
+            else if (strcmp(cname, "Awl::Knob") == 0) {
+                  w->setProperty("ctrlType", 3);
+                  connect(w, SIGNAL(valueChanged(double,int)), map, SLOT(map()));
+                  }
+            else if (strcmp(cname, "QPushButton") == 0) {
+                  w->setProperty("ctrlType", 4);
+                  connect(w, SIGNAL(toggled(bool)), map, SLOT(map()));
+                  }
+            else if (strcmp(cname, "Awl::Drawbar") == 0) {
+                  Awl::Drawbar* drawbar = (Awl::Drawbar*)w;
+                  w->setProperty("ctrlType", 5);
+                  connect(drawbar, SIGNAL(valueChanged(double,int)), map, SLOT(map()));
+                  }
+            else
+                  printf("Gui Element <%s> not supported\n", cname);
             }
-      connect(map, SIGNAL(mapped(int)), this, SLOT(ctrlChanged(int)));
+      ignoreControllerChange = false;
+      connect(map, SIGNAL(mapped(QWidget*)), this, SLOT(ctrlChanged(QWidget*)));
       }
 
 //---------------------------------------------------------
 //   ctrlChanged
 //---------------------------------------------------------
 
-void OrganGui::ctrlChanged(int idx)
+void OrganGui::ctrlChanged(QWidget* w)
       {
-      SynthGuiCtrl* ctrl = &dctrl[idx];
-      int val = 0;
-      if (ctrl->type == SynthGuiCtrl::SLIDER) {
-            QSlider* slider = (QSlider*)(ctrl->editor);
-            val = slider->value();
-            }
-      else if (ctrl->type == SynthGuiCtrl::SWITCH) {
-            val = ((QCheckBox*)(ctrl->editor))->isChecked();
+      if (ignoreControllerChange)
+            return;
+      int ctrlIdx  = w->property("ctrlIdx").toInt();
+      int ctrlType = w->property("ctrlType").toInt();
+      int value    = 0;
+
+      switch(ctrlType) {
+            case 0:     // QSlider
+                  value = ((QSlider*)w)->value();
+                  break;
+            case 1:
+                  value = ((QCheckBox*)w)->isChecked();
+                  break;
+            case 2:
+                  value = ((QGroupBox*)w)->isChecked();
+                  break;
+            case 3:
+                  value = lrint(((Awl::Knob*)w)->value());
+                  break;
+            case 4:
+                  value = ((QPushButton*)w)->isChecked();
+                  break;
+            case 5:
+                  value = lrint(((Awl::Drawbar*)w)->value());
+                  break;
+            default:
+                  printf("OrganGui::ctrlChanged: illegal ctrlType %d\n", ctrlType);
+                  break;
             }
-      sendController(0, idx + CTRL_RPN14_OFFSET, val);
+      int id = Mess2::controllerId(ctrlIdx);
+      sendController(0, id, value);      // to synth
       }
 
 //---------------------------------------------------------
 //   setParam
-//    set param in gui
 //---------------------------------------------------------
 
-void OrganGui::setParam(int param, int val)
+void OrganGui::setParam(int ctrlId, int val)
       {
-      param &= 0xfff;
-      if (param >= int(sizeof(dctrl)/sizeof(*dctrl))) {
-            fprintf(stderr, "OrganGui: set unknown Ctrl 0x%x to 0x%x\n", param, val);
+      int ctrlIdx = Mess2::controllerIdx(ctrlId);
+      if (ctrlIdx == -1)
             return;
+      setParamIdx(ctrlIdx, val);
+      }
+
+//---------------------------------------------------------
+//   setParamIdx
+//    set controller value in gui
+//---------------------------------------------------------
+
+void OrganGui::setParamIdx(int ctrlIdx, int val)
+      {
+      const char* name = Organ::controllerName(ctrlIdx);
+      if (name == 0)
+            return;
+      ignoreControllerChange = true;
+      QList<QWidget*> wl = findChildren<QWidget*>(name);
+
+      foreach(QWidget* w, wl) {
+            int ctrlType = w->property("ctrlType").toInt();
+            switch(ctrlType) {
+                  case 0:
+                        ((QSlider*)w)->setValue(val);
+                        break;
+                  case 1:
+                        ((QCheckBox*)w)->setChecked(val);
+                        break;
+                  case 2:
+                        ((QGroupBox*)w)->setChecked(val);
+                        break;
+                  case 3:
+                        ((Awl::Knob*)w)->setValue(double(val));
+                        break;
+                  case 4:
+                        ((QPushButton*)w)->setChecked(val);
+                        break;
+                  case 5:
+                        ((Awl::Drawbar*)w)->setValue(double(val));
+                        break;
+                  default:
+                        printf("OrganGui::setParamIdx: illegal ctrlType %d\n", ctrlType);
+                        break;
+                  }
             }
-      SynthGuiCtrl* ctrl = &dctrl[param];
-      ctrl->editor->blockSignals(true);
-      if (ctrl->type == SynthGuiCtrl::SLIDER) {
-            QSlider* slider = (QSlider*)(ctrl->editor);
-            slider->setValue(val);
-            if (ctrl->label)
-                  ((QSpinBox*)(ctrl->label))->setValue(val);
-            }
-      else if (ctrl->type == SynthGuiCtrl::SWITCH) {
-            ((QCheckBox*)(ctrl->editor))->setChecked(val);
-            }
-      ctrl->editor->blockSignals(false);
+      ignoreControllerChange = false;
       }
 
 //---------------------------------------------------------
diff --git a/muse/synti/organ/organgui.h b/muse/synti/organ/organgui.h
index f8e1b5b7..c691b1a1 100644
--- a/muse/synti/organ/organgui.h
+++ b/muse/synti/organ/organgui.h
@@ -25,16 +25,22 @@ class QSignalMapper;
 class OrganGui : public QWidget, public Ui::OrganGuiBase, public MessGui {
       Q_OBJECT
 
+      bool ignoreControllerChange;
+
       QSignalMapper* map;
-      SynthGuiCtrl dctrl[NUM_GUI_CONTROLLER];
-      void setParam(int, int);
       virtual void processEvent(const MidiEvent&);
 
+   protected:
+      void setParam(int, int);
+      void setParamIdx(int ctrlIdx, int val);
+
    private slots:
-      void ctrlChanged(int idx);
+      void ctrlChanged(QWidget*);
       void readMessage(int);
 
    public:
+      friend class Organ;
+      friend class Mess2;
       OrganGui();
       };
 
diff --git a/muse/synti/organ/organgui.ui b/muse/synti/organ/organgui.ui
index bfd9ee85..74e52f07 100644
--- a/muse/synti/organ/organgui.ui
+++ b/muse/synti/organ/organgui.ui
@@ -5,14 +5,12 @@
    <rect>
     <x>0</x>
     <y>0</y>
-    <width>563</width>
-    <height>392</height>
+    <width>270</width>
+    <height>275</height>
    </rect>
   </property>
   <property name="sizePolicy" >
-   <sizepolicy>
-    <hsizetype>7</hsizetype>
-    <vsizetype>5</vsizetype>
+   <sizepolicy vsizetype="Preferred" hsizetype="Expanding" >
     <horstretch>0</horstretch>
     <verstretch>0</verstretch>
    </sizepolicy>
@@ -20,122 +18,74 @@
   <property name="windowTitle" >
    <string>MusE: Organ</string>
   </property>
+  <property name="styleSheet" >
+   <string>QWidget { 
+background-color: rgb(93,106,121);
+color: rgb(240, 240, 240); 
+} 
+QLabel#name {
+font-size: 64px;
+font-weight: bold;
+}
+Awl--Drawbar {
+font-size: 10px;
+}
+Awl--Knob {
+font-size: 10px;
+}
+
+QGroupBox::indicator:checked {
+background-color: yellow;
+}
+QGroupBox::indicator:unchecked {
+background-color: gray;
+}
+QCheckBox::indicator:checked:disabled {
+background-color: darkGray;
+}
+QCheckBox::indicator:unchecked:disabled {
+background-color: gray;
+}
+QCheckBox::indicator:checked:enabled {
+background-color: yellow;
+}
+QCheckBox::indicator:unchecked:enabled {
+background-color: gray;
+}
+</string>
+  </property>
   <layout class="QGridLayout" >
-   <property name="margin" >
+   <property name="leftMargin" >
+    <number>9</number>
+   </property>
+   <property name="topMargin" >
+    <number>9</number>
+   </property>
+   <property name="rightMargin" >
     <number>9</number>
    </property>
-   <property name="spacing" >
+   <property name="bottomMargin" >
+    <number>9</number>
+   </property>
+   <property name="horizontalSpacing" >
+    <number>6</number>
+   </property>
+   <property name="verticalSpacing" >
     <number>6</number>
    </property>
-   <item row="0" column="1" >
-    <widget class="QGroupBox" name="GroupBox3" >
-     <property name="sizePolicy" >
-      <sizepolicy>
-       <hsizetype>7</hsizetype>
-       <vsizetype>7</vsizetype>
-       <horstretch>0</horstretch>
-       <verstretch>0</verstretch>
-      </sizepolicy>
-     </property>
-     <property name="title" >
-      <string>Oscillator</string>
-     </property>
-     <layout class="QVBoxLayout" >
-      <property name="margin" >
-       <number>11</number>
-      </property>
-      <property name="spacing" >
-       <number>2</number>
-      </property>
-      <item>
-       <widget class="QCheckBox" name="sw1" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>1</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="text" >
-         <string>Brass</string>
-        </property>
-       </widget>
-      </item>
-      <item>
-       <widget class="QCheckBox" name="sw2" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>1</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="text" >
-         <string>Reed</string>
-        </property>
-       </widget>
-      </item>
-      <item>
-       <widget class="QCheckBox" name="sw3" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>1</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="text" >
-         <string>Flute</string>
-        </property>
-       </widget>
-      </item>
-      <item>
-       <spacer>
-        <property name="orientation" >
-         <enum>Qt::Vertical</enum>
-        </property>
-        <property name="sizeType" >
-         <enum>QSizePolicy::Expanding</enum>
-        </property>
-        <property name="sizeHint" >
-         <size>
-          <width>20</width>
-          <height>20</height>
-         </size>
-        </property>
-       </spacer>
-      </item>
-      <item>
-       <widget class="QCheckBox" name="sw4" >
-        <property name="text" >
-         <string>Velocity</string>
-        </property>
-       </widget>
-      </item>
-     </layout>
-    </widget>
-   </item>
    <item row="0" column="0" >
-    <widget class="QLabel" name="TextLabel1_2" >
+    <widget class="QLabel" name="name" >
      <property name="sizePolicy" >
-      <sizepolicy>
-       <hsizetype>7</hsizetype>
-       <vsizetype>5</vsizetype>
+      <sizepolicy vsizetype="Preferred" hsizetype="Expanding" >
        <horstretch>0</horstretch>
        <verstretch>0</verstretch>
       </sizepolicy>
      </property>
      <property name="font" >
       <font>
-       <pointsize>48</pointsize>
-       <weight>50</weight>
-       <italic>false</italic>
-       <bold>false</bold>
-       <underline>false</underline>
-       <strikeout>false</strikeout>
+       <pointsize>-1</pointsize>
+       <weight>75</weight>
+       <bold>true</bold>
       </font>
      </property>
      <property name="text" >
@@ -149,9 +99,7 @@
    <item rowspan="2" row="1" column="0" colspan="2" >
     <widget class="QGroupBox" name="GroupBox1" >
      <property name="sizePolicy" >
-      <sizepolicy>
-       <hsizetype>7</hsizetype>
-       <vsizetype>7</vsizetype>
+      <sizepolicy vsizetype="Expanding" hsizetype="Expanding" >
        <horstretch>0</horstretch>
        <verstretch>0</verstretch>
       </sizepolicy>
@@ -159,671 +107,123 @@
      <property name="title" >
       <string>Drawbars</string>
      </property>
-     <layout class="QGridLayout" >
-      <property name="margin" >
-       <number>6</number>
-      </property>
-      <property name="spacing" >
-       <number>2</number>
-      </property>
-      <item row="0" column="0" >
-       <widget class="QLabel" name="TextLabel1" >
-        <property name="text" >
-         <string>16'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="0" >
-       <widget class="QLabel" name="TextLabel4" >
-        <property name="text" >
-         <string>4'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="4" column="0" >
-       <widget class="QLabel" name="TextLabel5" >
-        <property name="text" >
-         <string>2 2/3'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="5" column="0" >
-       <widget class="QLabel" name="TextLabel6" >
-        <property name="text" >
-         <string>2'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="0" >
-       <widget class="QLabel" name="TextLabel2" >
-        <property name="text" >
-         <string>5 1/3'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="0" >
-       <widget class="QLabel" name="TextLabel3" >
-        <property name="text" >
-         <string>8'</string>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="2" >
-       <widget class="QSlider" name="p2" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="2" >
-       <widget class="QSlider" name="p3" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="2" >
-       <widget class="QSlider" name="p4" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="4" column="2" >
-       <widget class="QSlider" name="p5" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="5" column="2" >
-       <widget class="QSlider" name="p6" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="0" column="2" >
-       <widget class="QSlider" name="p1" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>7</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="0" column="1" >
-       <widget class="QSpinBox" name="lcd1" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="1" >
-       <widget class="QSpinBox" name="lcd2" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="singleStep" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="1" >
-       <widget class="QSpinBox" name="lcd3" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="singleStep" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="1" >
-       <widget class="QSpinBox" name="lcd4" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="singleStep" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="4" column="1" >
-       <widget class="QSpinBox" name="lcd5" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="singleStep" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="5" column="1" >
-       <widget class="QSpinBox" name="lcd6" >
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="singleStep" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-     </layout>
-    </widget>
-   </item>
-   <item row="0" column="2" >
-    <widget class="QGroupBox" name="GroupBox2" >
-     <property name="sizePolicy" >
-      <sizepolicy>
-       <hsizetype>7</hsizetype>
-       <vsizetype>7</vsizetype>
-       <horstretch>0</horstretch>
-       <verstretch>0</verstretch>
-      </sizepolicy>
-     </property>
-     <property name="title" >
-      <string>Envelope Lo</string>
-     </property>
-     <property name="alignment" >
-      <set>Qt::AlignLeading</set>
-     </property>
-     <layout class="QGridLayout" >
-      <property name="margin" >
-       <number>11</number>
-      </property>
-      <property name="spacing" >
-       <number>2</number>
-      </property>
-      <item row="0" column="0" >
-       <widget class="QLabel" name="TextLabel7" >
-        <property name="text" >
-         <string>Attack</string>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="0" >
-       <widget class="QLabel" name="TextLabel8" >
-        <property name="text" >
-         <string>Decay</string>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="0" >
-       <widget class="QLabel" name="TextLabel9" >
-        <property name="text" >
-         <string>Sustain</string>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="0" >
-       <widget class="QLabel" name="TextLabel10" >
-        <property name="text" >
-         <string>Release</string>
-        </property>
-       </widget>
-      </item>
-      <item row="0" column="2" >
-       <widget class="QSlider" name="p7" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>7</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="minimumSize" >
-         <size>
-          <width>80</width>
-          <height>0</height>
-         </size>
-        </property>
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>50</number>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="2" >
-       <widget class="QSlider" name="p8" >
-        <property name="maximum" >
-         <number>5000</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>500</number>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="2" >
-       <widget class="QSlider" name="p9" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>10</number>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="2" >
-       <widget class="QSlider" name="p10" >
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>50</number>
-        </property>
-       </widget>
-      </item>
-      <item row="0" column="1" >
-       <widget class="QSpinBox" name="lcd7" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>1</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
-        </property>
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-       </widget>
-      </item>
-      <item row="1" column="1" >
-       <widget class="QSpinBox" name="lcd8" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>1</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
-        </property>
-        <property name="maximum" >
-         <number>5000</number>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="1" >
-       <widget class="QSpinBox" name="lcd9" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>1</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>cB</string>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
+     <layout class="QHBoxLayout" >
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar16" >
         <property name="value" >
-         <number>0</number>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="1" >
-       <widget class="QSpinBox" name="lcd10" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>1</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
-        </property>
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-       </widget>
-      </item>
-     </layout>
-    </widget>
-   </item>
-   <item row="2" column="2" >
-    <widget class="QGroupBox" name="GroupBox4" >
-     <property name="sizePolicy" >
-      <sizepolicy>
-       <hsizetype>7</hsizetype>
-       <vsizetype>7</vsizetype>
-       <horstretch>0</horstretch>
-       <verstretch>0</verstretch>
-      </sizepolicy>
-     </property>
-     <property name="title" >
-      <string>Envelope Hi</string>
-     </property>
-     <layout class="QGridLayout" >
-      <property name="margin" >
-       <number>8</number>
-      </property>
-      <property name="spacing" >
-       <number>6</number>
-      </property>
-      <item row="3" column="2" >
-       <widget class="QSlider" name="p14" >
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
+         <double>4.319999999999999</double>
         </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>50</number>
-        </property>
-       </widget>
-      </item>
-      <item row="2" column="0" >
-       <widget class="QLabel" name="TextLabel13" >
-        <property name="text" >
-         <string>Sustain</string>
+        <property name="sliderColor" >
+         <color>
+          <red>60</red>
+          <green>60</green>
+          <blue>60</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="3" column="0" >
-       <widget class="QLabel" name="TextLabel14" >
-        <property name="text" >
-         <string>Release</string>
-        </property>
-       </widget>
-      </item>
-      <item row="3" column="1" >
-       <widget class="QSpinBox" name="lcd14" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar513" >
+        <property name="value" >
+         <double>5.039999999999999</double>
         </property>
-        <property name="maximum" >
-         <number>500</number>
+        <property name="sliderColor" >
+         <color>
+          <red>60</red>
+          <green>60</green>
+          <blue>60</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="2" column="1" >
-       <widget class="QSpinBox" name="lcd13" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>cB</string>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar8" >
+        <property name="value" >
+         <double>8.000000000000000</double>
         </property>
-        <property name="minimum" >
-         <number>-960</number>
+        <property name="sliderColor" >
+         <color>
+          <red>240</red>
+          <green>240</green>
+          <blue>240</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="1" column="1" >
-       <widget class="QSpinBox" name="lcd12" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar4" >
+        <property name="value" >
+         <double>8.000000000000000</double>
         </property>
-        <property name="maximum" >
-         <number>5000</number>
+        <property name="sliderColor" >
+         <color>
+          <red>240</red>
+          <green>240</green>
+          <blue>240</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="0" column="2" >
-       <widget class="QSlider" name="p11" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>7</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="maximum" >
-         <number>500</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
-        </property>
-        <property name="tickInterval" >
-         <number>50</number>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar223" >
+        <property name="value" >
+         <double>8.000000000000000</double>
         </property>
        </widget>
       </item>
-      <item row="0" column="1" >
-       <widget class="QSpinBox" name="lcd11" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>0</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="suffix" >
-         <string>ms</string>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar2" >
+        <property name="value" >
+         <double>0.000000000000000</double>
         </property>
-        <property name="maximum" >
-         <number>500</number>
+        <property name="sliderColor" >
+         <color>
+          <red>240</red>
+          <green>240</green>
+          <blue>240</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="1" column="2" >
-       <widget class="QSlider" name="p12" >
-        <property name="maximum" >
-         <number>5000</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar135" >
+        <property name="value" >
+         <double>0.000000000000000</double>
         </property>
-        <property name="tickInterval" >
-         <number>500</number>
+        <property name="sliderColor" >
+         <color>
+          <red>128</red>
+          <green>102</green>
+          <blue>86</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="2" column="2" >
-       <widget class="QSlider" name="p13" >
-        <property name="minimum" >
-         <number>-960</number>
-        </property>
-        <property name="maximum" >
-         <number>0</number>
-        </property>
-        <property name="pageStep" >
-         <number>1</number>
-        </property>
-        <property name="orientation" >
-         <enum>Qt::Horizontal</enum>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar113" >
+        <property name="value" >
+         <double>2.160000000000000</double>
         </property>
-        <property name="tickInterval" >
-         <number>10</number>
+        <property name="sliderColor" >
+         <color>
+          <red>128</red>
+          <green>102</green>
+          <blue>86</blue>
+         </color>
         </property>
        </widget>
       </item>
-      <item row="0" column="0" >
-       <widget class="QLabel" name="TextLabel11" >
-        <property name="sizePolicy" >
-         <sizepolicy>
-          <hsizetype>5</hsizetype>
-          <vsizetype>4</vsizetype>
-          <horstretch>0</horstretch>
-          <verstretch>0</verstretch>
-         </sizepolicy>
-        </property>
-        <property name="text" >
-         <string>Attack</string>
+      <item>
+       <widget class="Awl::Drawbar" name="drawbar1" >
+        <property name="value" >
+         <double>0.000000000000000</double>
         </property>
-       </widget>
-      </item>
-      <item row="1" column="0" >
-       <widget class="QLabel" name="TextLabel12" >
-        <property name="text" >
-         <string>Decay</string>
+        <property name="sliderColor" >
+         <color>
+          <red>240</red>
+          <green>240</green>
+          <blue>240</blue>
+         </color>
         </property>
        </widget>
       </item>
@@ -833,25 +233,13 @@
   </layout>
  </widget>
  <layoutdefault spacing="6" margin="11" />
- <tabstops>
-  <tabstop>p1</tabstop>
-  <tabstop>p3</tabstop>
-  <tabstop>p2</tabstop>
-  <tabstop>p4</tabstop>
-  <tabstop>p5</tabstop>
-  <tabstop>p6</tabstop>
-  <tabstop>p7</tabstop>
-  <tabstop>p8</tabstop>
-  <tabstop>p9</tabstop>
-  <tabstop>p10</tabstop>
-  <tabstop>p11</tabstop>
-  <tabstop>p12</tabstop>
-  <tabstop>p13</tabstop>
-  <tabstop>p14</tabstop>
-  <tabstop>sw1</tabstop>
-  <tabstop>sw2</tabstop>
-  <tabstop>sw3</tabstop>
- </tabstops>
+ <customwidgets>
+  <customwidget>
+   <class>Awl::Drawbar</class>
+   <extends>Awl::Slider</extends>
+   <header>awl/drawbar.h</header>
+  </customwidget>
+ </customwidgets>
  <resources/>
  <connections/>
 </ui>
diff --git a/muse/synti/s1/s1.cpp b/muse/synti/s1/s1.cpp
index 2dca23ee..596a5797 100644
--- a/muse/synti/s1/s1.cpp
+++ b/muse/synti/s1/s1.cpp
@@ -93,9 +93,9 @@ void S1::note(int /*channel*/, int pitch, int velo)
             //
             // note on
             //
-            accu     = 0;
-            gate     = 1;
-            freq     = 8.176 * exp(float(pitch)*log(2.0)/12.0);
+            accu = 0;
+            gate = 1;
+            freq = 8.176 * exp(float(pitch)*log(2.0)/12.0);
             }
       }