Visual Servoing Platform  version 3.5.0 under development (2022-02-15)
vpFont.cpp
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32  * Draw text in an image.
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35 // Contains code from:
36 /*
37 * Simd Library (http://ermig1979.github.io/Simd).
38 *
39 * Copyright (c) 2011-2017 Yermalayeu Ihar.
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56 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
57 * SOFTWARE.
58 */
59 
60 #include <visp3/core/vpFont.h>
61 #include <visp3/core/vpIoException.h>
62 #include <visp3/core/vpIoTools.h>
63 #include <visp3/core/vpMath.h>
64 #if (VISP_CXX_STANDARD > VISP_CXX_STANDARD_98)
65 #include <iterator>
66 #else
67 #include <stdio.h>
68 #endif
69 #include "private/Font.hpp"
70 
71 #define STB_TRUETYPE_IMPLEMENTATION
72 #include "private/stb_truetype.h"
73 
74 #ifndef DOXYGEN_SHOULD_SKIP_THIS
75 class vpFont::Impl
76 {
77 private:
78  typedef Font::Point<int> Point;
79  typedef std::string String;
80  typedef Font::Rectangle<int> Rect;
81  typedef std::vector<Rect> Rects;
82  typedef std::vector<Point> Points;
83 
84 public:
92  Impl(unsigned int height = 16, const vpFontFamily & fontFamily = TRUETYPE_FILE,
93  const std::string & ttfFilename = std::string(VISP_RUBIK_REGULAR_FONT_RESOURCES))
94  {
95  _fontHeight = height;
96  _ttfFamily = fontFamily;
97 
98  switch (_ttfFamily) {
99  case GENERIC_MONOSPACE: {
100  LoadDefault();
101  Resize(height);
102  break;
103  }
104  case TRUETYPE_FILE: {
105  std::vector<std::string> ttfs = vpIoTools::splitChain(ttfFilename, ";");
106  std::string ttf_file = "";
107  for (size_t i=0; i < ttfs.size(); i++) {
108  if (vpIoTools::checkFilename(ttfs[i])) {
109  ttf_file = ttfs[i];
110  break;
111  }
112  }
113  if (ttf_file.empty()) {
114  throw(vpException(vpException::fatalError, "True type font file doesn't exist in %s", ttfFilename.c_str()));
115  }
116 
117  LoadTTF(ttf_file);
118 
119  /* calculate font scaling */
120  _fontScale = stbtt_ScaleForPixelHeight(&_info, static_cast<float>(_fontHeight));
121 
122  int lineGap = 0;
123  stbtt_GetFontVMetrics(&_info, &_fontAscent, &_fontDescent, &lineGap);
124 
125  _fontAscent = vpMath::round(_fontAscent * _fontScale);
126  _fontDescent = vpMath::round(_fontDescent * _fontScale);
127 
128  break;
129  }
130  }
131  }
132 
140  bool Resize(unsigned int height)
141  {
142  _fontHeight = height;
143 
144  switch (_ttfFamily) {
145  case GENERIC_MONOSPACE:
146  {
147  if (height == static_cast<unsigned int>(_currentSize.y)) {
148  return true;
149  }
150 
151  if (height < 4u || height > static_cast<unsigned int>(_originalSize.y*4)) {
152  return false;
153  }
154 
155  _currentSize.y = static_cast<int>(height);
156  _currentSize.x = static_cast<int>(height)*_originalSize.x / _originalSize.y;
157  _currentIndent.x = static_cast<int>(height)*_originalIndent.x / _originalSize.y;
158  _currentIndent.y = static_cast<int>(height)*_originalIndent.y / _originalSize.y;
159 
160  size_t level = 0;
161  for (; (height << (level + 1)) < static_cast<size_t>(_originalSize.y); level++);
162 
163  _currentSymbols.resize(_originalSymbols.size());
164  for (size_t i = 0; i < _originalSymbols.size(); i++) {
165  _currentSymbols[i].value = _originalSymbols[i].value;
166  _currentSymbols[i].image.resize(static_cast<unsigned int>(_currentSize.y), static_cast<unsigned int>(_currentSize.x));
167  vpImageTools::resize(_originalSymbols[i].image, _currentSymbols[i].image, vpImageTools::INTERPOLATION_LINEAR);
168  }
169 
170  break;
171  }
172 
173  case TRUETYPE_FILE:
174  break;
175  }
176 
177  return true;
178  }
179 
185  int Height() const
186  {
187  return _fontHeight;
188  }
189 
197  Point Measure(const String & text)
198  {
199  switch (_ttfFamily) {
200  case GENERIC_MONOSPACE:
201  {
202  Point size, curr;
203  for (size_t i = 0; i < text.size(); i++) {
204  if (text[i] >= _symbolMin && text[i] <= _symbolMax) {
205  curr.x += _currentSize.x;
206  size.x = std::max(size.x, curr.x);
207  size.y = std::max(size.y, curr.y + _currentSize.y);
208  } else if (text[i] == '\n') {
209  curr.x = 0;
210  curr.y += _currentSize.y;
211  }
212  }
213  return size.x ? size + 2 * _currentIndent : Point();
214  }
215 
216  case TRUETYPE_FILE:
217  {
218  ToUTF32(text, _wordUTF32);
219 
220  _bb = vpRect(std::numeric_limits<double>::max(), std::numeric_limits<double>::max(), -1, -1);
221  _ax_vec.clear();
222  _lsb_vec.clear();
223  _bb_vec.clear();
224  _y_vec.clear();
225 
226  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
227 
228  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
229  /* how wide is this character */
230  int ax = 0;
231  int lsb = 0;
232  stbtt_GetCodepointHMetrics(&_info, _wordUTF32[i], &ax, &lsb);
233  _ax_vec.push_back(ax);
234  _lsb_vec.push_back(lsb);
235  /* (Note that each Codepoint call has an alternative Glyph version which caches the work required to lookup the character word[i].) */
236 
237  /* get bounding box for character (may be offset to account for chars that dip above or below the line */
238  int c_x1 = 0, c_y1 = 0, c_x2 = 0, c_y2 = 0;
239  stbtt_GetCodepointBitmapBox(&_info, _wordUTF32[i], _fontScale, _fontScale, &c_x1, &c_y1, &c_x2, &c_y2);
240  _bb_vec.push_back(vpRect(c_x1, c_y1, c_x2-c_x1, c_y2-c_y1));
241 
242  /* compute y (different characters have different heights */
243  int y = _fontAscent + c_y1;
244  _y_vec.push_back(y);
245 
246  int d_x = x + vpMath::round(lsb * _fontScale);
247  int d_y = y;
248  int d_w = (c_x2 - c_x1);
249  int d_h = (c_y2 - c_y1);
250  _bb.setLeft(_bb.getLeft() > d_x ? d_x : _bb.getLeft());
251  _bb.setTop(_bb.getTop() > d_y ? d_y : _bb.getTop());
252 
253  _bb.setWidth(d_x+d_w - _bb.getLeft());
254  _bb.setBottom(_bb.getBottom() < d_y+d_h ? d_y+d_h : _bb.getBottom());
255 
256  /* advance x */
257  x += vpMath::round(ax * _fontScale);
258 
259  /* add kerning */
260  int kern = 0;
261  if (i < wordUTF32_size - 1) {
262  kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
263  x += vpMath::round(kern * _fontScale);
264  }
265  }
266 
267  Point bb;
268  bb.x = static_cast<int>(_bb.getWidth());
269  bb.y = static_cast<int>(_bb.getHeight());
270 
271  return bb;
272  }
273  }
274 
275  return Point();
276  }
277 
281  vpImagePoint Measure2(const String & text)
282  {
283  Point mes = Measure(text);
284  return vpImagePoint(mes.y, mes.x);
285  }
286 
297  bool Draw(vpImage<unsigned char> & canvas, const String & text, const vpImagePoint & position, unsigned char color)
298  {
299  switch (_ttfFamily) {
300  case GENERIC_MONOSPACE:
301  {
302  Rect canvasRect, alphaRect;
303  CreateAlpha(text, Rect(0, 0, canvas.getWidth(), canvas.getHeight()), Point(position.get_u(), position.get_v()), _alpha, canvasRect, alphaRect);
304 
305  if (_alpha.getSize()) {
306  for (int i = 0; i < alphaRect.Height(); i++) {
307  int dstY = canvasRect.Top() + i;
308  for (int j = 0; j < alphaRect.Width(); j++) {
309  unsigned int dstX = static_cast<unsigned int>(canvasRect.Left() + j);
310 
311  //dst[x, y, c] = (pixel[c]*_alpha[x, y] + dst[x, y, c]*(255 - _alpha[x, y]))/255;
312  int coeff = 255-_alpha[i][j];
313  unsigned char gray = static_cast<unsigned char>((color*_alpha[i][j] + coeff*canvas[dstY][dstX]) / 255);
314  canvas[dstY][dstX] = gray;
315  }
316  }
317  }
318 
319  break;
320  }
321 
322  case TRUETYPE_FILE:
323  {
324  Measure(text);
325  // Try to resize only if new size is bigger
326  _fontBuffer.resize(std::max(_fontBuffer.getHeight(), static_cast<unsigned int>(_bb.getBottom()+1)),
327  std::max(_fontBuffer.getWidth(), static_cast<unsigned int>(_bb.getRight()+1)));
328 
329  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
330 
331  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
332  /* render character (stride and offset is important here) */
333  int byteOffset = x + vpMath::round(_lsb_vec[i] * _fontScale) + (_y_vec[i] * _fontBuffer.getWidth());
334  stbtt_MakeCodepointBitmap(&_info, _fontBuffer.bitmap + byteOffset, static_cast<int>(_bb_vec[i].getWidth()), static_cast<int>(_bb_vec[i].getHeight()),
335  _fontBuffer.getWidth(), _fontScale, _fontScale, _wordUTF32[i]);
336 
337  int d_x = x + vpMath::round(_lsb_vec[i] * _fontScale);
338  int d_y = _y_vec[i];
339  int d_w = static_cast<int>(_bb_vec[i].getWidth());
340  int d_h = static_cast<int>(_bb_vec[i].getHeight());
341 
342  for (int y = d_y; y < d_y+d_h; y++) {
343  int dstY = static_cast<int>(position.get_v() + y - _bb.getTop());
344 
345  for (int x = d_x; x < d_x+d_w; x++) {
346  unsigned int dstX = static_cast<unsigned int>(position.get_u() + x - _bb.getLeft());
347 
348  int coeff = 255 - _fontBuffer[y][x];
349  unsigned char gray = static_cast<unsigned char>((color*_fontBuffer[y][x] + coeff*canvas[dstY][dstX]) / 255);
350  canvas[dstY][dstX] = gray;
351  }
352  }
353 
354  /* advance x */
355  x += vpMath::round(_ax_vec[i] * _fontScale);
356 
357  /* add kerning */
358  if (i < wordUTF32_size - 1) {
359  int kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
360  x += vpMath::round(kern * _fontScale);
361  }
362  }
363 
364  break;
365  }
366  }
367 
368  return true;
369  }
370 
382  bool Draw(vpImage<unsigned char> & canvas, const String & text, const vpImagePoint & position, unsigned char color, unsigned char background)
383  {
384  Rect canvasRect = Rect(Measure(text)).Shifted(position.get_u(), position.get_v());
385  for (int i = canvasRect.Top(); i < canvasRect.Bottom(); i++) {
386  for (int j = canvasRect.Left(); j < canvasRect.Right(); j++) {
387  canvas[i][j] = background;
388  }
389  }
390  return Draw(canvas, text, position, color);
391  }
392 
403  bool Draw(vpImage<vpRGBa> & canvas, const String & text, const vpImagePoint & position, const vpColor & color)
404  {
405  switch (_ttfFamily) {
406  case GENERIC_MONOSPACE:
407  {
408  Rect canvasRect, alphaRect;
409  CreateAlpha(text, Rect(0, 0, canvas.getWidth(), canvas.getHeight()), Point(position.get_u(), position.get_v()), _alpha, canvasRect, alphaRect);
410 
411  if (_alpha.getSize()) {
412  for (int i = 0; i < alphaRect.Height(); i++) {
413  int dstY = canvasRect.Top() + i;
414  for (int j = 0; j < alphaRect.Width(); j++) {
415  unsigned int dstX = static_cast<unsigned int>(canvasRect.Left() + j);
416 
417  //dst[x, y, c] = (pixel[c]*_alpha[x, y] + dst[x, y, c]*(255 - _alpha[x, y]))/255;
418  int coeff = 255-_alpha[i][j];
419  int R = (color.R*_alpha[i][j] + coeff*canvas[dstY][dstX].R) / 255;
420  int G = (color.G*_alpha[i][j] + coeff*canvas[dstY][dstX].G) / 255;
421  int B = (color.B*_alpha[i][j] + coeff*canvas[dstY][dstX].B) / 255;
422  canvas[dstY][dstX] = vpRGBa(static_cast<unsigned char>(R), static_cast<unsigned char>(G), static_cast<unsigned char>(B));
423  }
424  }
425  }
426 
427  break;
428  }
429 
430  case TRUETYPE_FILE:
431  {
432  Measure(text);
433  // Try to resize only if new size is bigger
434  _fontBuffer.resize(std::max(_fontBuffer.getHeight(), static_cast<unsigned int>(_bb.getBottom()+1)),
435  std::max(_fontBuffer.getWidth(), static_cast<unsigned int>(_bb.getRight()+1)));
436 
437  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
438 
439  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
440  /* render character (stride and offset is important here) */
441  int byteOffset = x + vpMath::round(_lsb_vec[i] * _fontScale) + (_y_vec[i] * _fontBuffer.getWidth());
442  stbtt_MakeCodepointBitmap(&_info, _fontBuffer.bitmap + byteOffset, static_cast<int>(_bb_vec[i].getWidth()), static_cast<int>(_bb_vec[i].getHeight()),
443  _fontBuffer.getWidth(), _fontScale, _fontScale, _wordUTF32[i]);
444 
445  int d_x = x + vpMath::round(_lsb_vec[i] * _fontScale);
446  int d_y = _y_vec[i];
447  int d_w = static_cast<int>(_bb_vec[i].getWidth());
448  int d_h = static_cast<int>(_bb_vec[i].getHeight());
449 
450  for (int y = d_y; y < d_y+d_h; y++) {
451  int dstY = static_cast<int>(position.get_v() + y - _bb.getTop());
452 
453  for (int x = d_x; x < d_x+d_w; x++) {
454  unsigned int dstX = static_cast<unsigned int>(position.get_u() + x - _bb.getLeft());
455 
456  int coeff = 255 - _fontBuffer[y][x];
457  int R = (color.R*_fontBuffer[y][x] + coeff*canvas[dstY][dstX].R) / 255;
458  int G = (color.G*_fontBuffer[y][x] + coeff*canvas[dstY][dstX].G) / 255;
459  int B = (color.B*_fontBuffer[y][x] + coeff*canvas[dstY][dstX].B) / 255;
460  canvas[dstY][dstX] =
461  vpRGBa(static_cast<unsigned char>(R), static_cast<unsigned char>(G), static_cast<unsigned char>(B));
462  }
463  }
464 
465  /* advance x */
466  x += vpMath::round(_ax_vec[i] * _fontScale);
467 
468  /* add kerning */
469  if (i < wordUTF32_size - 1) {
470  int kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
471  x += vpMath::round(kern * _fontScale);
472  }
473  }
474 
475  break;
476  }
477  }
478 
479  return true;
480  }
481 
493  bool Draw(vpImage<vpRGBa> & canvas, const String & text, const vpImagePoint & position, const vpColor & color, const vpColor & background)
494  {
495  Rect canvasRect = Rect(Measure(text)).Shifted(position.get_u(), position.get_v());
496  for (int i = canvasRect.Top(); i < canvasRect.Bottom(); i++) {
497  for (int j = canvasRect.Left(); j < canvasRect.Right(); j++) {
498  canvas[i][j] = background;
499  }
500  }
501  return Draw(canvas, text, position, color);
502  }
503 
504 private:
505  struct Symbol
506  {
507  char value;
508  vpImage<unsigned char> image;
509  };
510  typedef std::vector<Symbol> Symbols;
511 
512  Symbols _originalSymbols, _currentSymbols;
513  Point _originalSize, _currentSize, _originalIndent, _currentIndent;
514  char _symbolMin, _symbolMax;
515  vpImage<unsigned char> _alpha;
516 
517  // For font drawing using stb_truetype interface
518  std::vector<unsigned char> fontBuffer;
519  unsigned int _fontHeight;
520  float _fontScale;
521  int _fontAscent;
522  int _fontDescent;
523  vpFontFamily _ttfFamily;
524  stbtt_fontinfo _info;
525  vpImage<unsigned char> _fontBuffer;
526  std::vector<unsigned int> _wordUTF32;
527  vpRect _bb;
528  std::vector<int> _ax_vec;
529  std::vector<int> _lsb_vec;
530  std::vector<vpRect> _bb_vec;
531  std::vector<int> _y_vec;
532 
533  void CreateAlpha(const String & text, const Rect & canvas, const Point & shift, vpImage<unsigned char> & alpha, Rect & canvasRect, Rect & alphaRect) const
534  {
535  Rects rects;
536  rects.reserve(text.size());
537  String symbols;
538  symbols.reserve(text.size());
539  Point curr;
540  for (size_t i = 0; i < text.size(); i++) {
541  char value = text[i];
542  if (value >= _symbolMin && value <= _symbolMax) {
543  Rect current(curr, curr + _currentSize);
544  Rect shifted = current.Shifted(shift + _currentIndent);
545  if (!canvas.Intersection(shifted).Empty()) {
546  alphaRect |= current;
547  canvasRect |= shifted;
548  rects.push_back(current);
549  symbols.push_back(value);
550  }
551  curr.x += _currentSize.x;
552  } else if (value == '\n') {
553  curr.x = 0;
554  curr.y += _currentSize.y;
555  }
556  }
557 
558  alpha.resize(static_cast<unsigned int>(alphaRect.Size().y), static_cast<unsigned int>(alphaRect.Size().x), 0);
559  for (size_t i = 0; i < symbols.size(); i++) {
560  Rect r = rects[i].Shifted(-alphaRect.TopLeft());
561  alpha.insert(_currentSymbols[static_cast<size_t>(symbols[i] - _symbolMin)].image, vpImagePoint(r.Top(), r.Left()));
562  }
563  Rect old = canvasRect;
564  canvasRect &= canvas;
565  alphaRect.Shift(-alphaRect.TopLeft());
566  alphaRect.left += canvasRect.left - old.left;
567  alphaRect.top += canvasRect.top - old.top;
568  alphaRect.right += canvasRect.right - old.right;
569  alphaRect.bottom += canvasRect.bottom - old.bottom;
570  }
571 
572  uint8_t LoadValue(const uint8_t * & data, size_t & size)
573  {
574  if (size == 0) {
575  throw;
576  }
577  size--;
578  return *data++;
579  }
580 
581  bool Load(const uint8_t * data, size_t size)
582  {
583  try {
584  _symbolMin = static_cast<char>(LoadValue(data, size));
585  _symbolMax = static_cast<char>(LoadValue(data, size));
586  _originalSize.x = LoadValue(data, size);
587  _originalSize.y = LoadValue(data, size);
588  _originalIndent.x = LoadValue(data, size);
589  _originalIndent.y = LoadValue(data, size);
590  _originalSymbols.resize(static_cast<size_t>(_symbolMax - _symbolMin));
591  for (char s = _symbolMin; s < _symbolMax; s++) {
592  Symbol & symbol = _originalSymbols[static_cast<size_t>(s - _symbolMin)];
593  symbol.value = static_cast<char>(LoadValue(data, size));
594  if(symbol.value != s) {
595  throw;
596  }
597 
598  symbol.image.resize(static_cast<unsigned int>(_originalSize.y), static_cast<unsigned int>(_originalSize.x), 0);
599  size_t top = LoadValue(data, size);
600  size_t bottom = LoadValue(data, size);
601  for (size_t r = top; r < bottom; r++) {
602  size_t count = LoadValue(data, size);
603  for (size_t l = 0; l < count; l++) {
604  size_t left = LoadValue(data, size);
605  size_t right = LoadValue(data, size);
606  assert(left < right);
607  memset(symbol.image[static_cast<unsigned int>(r)] + left, 0xFF, right - left);
608  }
609  }
610  }
611  } catch (...) {
612  _originalSize = Point();
613  _originalSymbols.clear();
614  return false;
615  }
616  return true;
617  }
618 
619  bool LoadDefault()
620  {
621  static const uint8_t data[] = {
622  32, 127, 127, 231, 33, 12, 32, 0, 0, 33, 26, 160, 1, 57, 66, 1, 54, 69, 1, 52, 70, 1, 51, 72, 1, 50,
623  73, 1, 49, 74, 1, 48, 75, 1, 48, 75, 1, 47, 76, 1, 47, 76, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 45, 77,
624  1, 45, 77, 1, 45, 78, 1, 45, 78, 1, 45, 78, 1, 45, 78, 1, 45, 78, 1, 45, 77, 1, 45, 77, 1, 46, 77, 1,
625  46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 76, 1, 47,
626  76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 75,
627  1, 47, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1,
628  48, 75, 1, 48, 74, 1, 48, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49,
629  74, 1, 49, 74, 1, 49, 74, 1, 49, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73,
630  1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
631  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 52, 71, 1, 52, 71, 1, 52, 71, 1, 52,
632  71, 1, 53, 70, 1, 54, 69, 1, 54, 68, 1, 56, 67, 1, 57, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
633  0, 0, 0, 0, 0, 0, 1, 56, 67, 1, 54, 69, 1, 53, 71, 1, 52, 72, 1, 51, 72, 1, 50, 73, 1, 50, 73, 1, 50,
634  74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 50, 74, 1, 50, 74, 1, 50, 73, 1, 51, 73, 1, 51, 72, 1, 52, 71,
635  1, 53, 70, 1, 55, 68, 1, 56, 67, 34, 35, 90, 2, 27, 53, 70, 96, 2, 28, 53, 70, 96, 2, 28, 53, 70, 95,
636  2, 28, 53, 70, 95, 2, 28, 53, 70, 95, 2, 28, 53, 70, 95, 2, 28, 53, 71, 95, 2, 28, 52, 71, 95, 2, 29,
637  52, 71, 95, 2, 29, 52, 71, 94, 2, 29, 52, 71, 94, 2, 29, 52, 71, 94, 2, 29, 52, 71, 94, 2, 29, 52, 72,
638  94, 2, 30, 52, 72, 94, 2, 30, 51, 72, 94, 2, 30, 51, 72, 94, 2, 30, 51, 72, 93, 2, 30, 51, 72, 93, 2,
639  30, 51, 72, 93, 2, 30, 51, 73, 93, 2, 31, 51, 73, 93, 2, 31, 50, 73, 93, 2, 31, 50, 73, 93, 2, 31, 50,
640  73, 93, 2, 31, 50, 73, 92, 2, 31, 50, 74, 92, 2, 31, 50, 74, 92, 2, 32, 50, 74, 92, 2, 32, 50, 74, 92,
641  2, 32, 49, 74, 92, 2, 32, 49, 74, 92, 2, 32, 49, 74, 91, 2, 32, 49, 75, 91, 2, 32, 49, 75, 91, 2, 33,
642  49, 75, 91, 2, 33, 49, 75, 91, 2, 33, 48, 75, 91, 2, 33, 48, 75, 91, 2, 33, 48, 75, 91, 2, 33, 48, 76,
643  90, 2, 33, 48, 76, 90, 2, 34, 48, 76, 90, 2, 34, 48, 76, 90, 2, 34, 48, 76, 90, 2, 34, 47, 76, 90, 2,
644  34, 47, 76, 90, 2, 34, 47, 77, 89, 2, 34, 47, 77, 89, 2, 35, 47, 77, 89, 2, 35, 47, 77, 89, 2, 35, 46,
645  77, 89, 2, 36, 46, 78, 88, 2, 36, 45, 79, 87, 2, 38, 43, 80, 86, 35, 18, 176, 2, 47, 51, 83, 87, 2, 44,
646  54, 80, 89, 2, 43, 55, 78, 91, 2, 42, 56, 77, 92, 2, 41, 57, 76, 93, 2, 40, 58, 76, 93, 2, 40, 58, 75,
647  94, 2, 39, 59, 75, 94, 2, 39, 59, 75, 94, 2, 39, 59, 74, 94, 2, 39, 59, 74, 95, 2, 39, 59, 74, 95, 2,
648  39, 59, 74, 95, 2, 39, 59, 74, 94, 2, 39, 59, 74, 94, 2, 39, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 59,
649  74, 94, 2, 38, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 58, 74, 94, 2, 38, 58, 73, 94,
650  2, 38, 58, 73, 94, 2, 38, 58, 73, 94, 2, 38, 58, 73, 94, 2, 38, 58, 73, 93, 2, 38, 58, 73, 93, 2, 38,
651  58, 73, 93, 2, 38, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73,
652  93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 57, 73, 93, 2, 37, 57, 72, 93, 2, 37, 57, 72, 93, 2,
653  37, 57, 72, 93, 2, 37, 57, 72, 93, 2, 37, 57, 72, 92, 2, 37, 57, 72, 92, 2, 37, 57, 72, 92, 2, 37, 57,
654  72, 92, 2, 36, 57, 72, 92, 2, 36, 57, 72, 92, 2, 36, 57, 72, 92, 1, 26, 102, 1, 23, 105, 1, 21, 107,
655  1, 20, 108, 1, 19, 109, 1, 19, 109, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 18,
656  110, 1, 18, 110, 1, 18, 110, 1, 19, 109, 1, 19, 109, 1, 20, 108, 1, 21, 107, 1, 22, 106, 1, 25, 103,
657  2, 35, 55, 70, 91, 2, 35, 55, 70, 90, 2, 35, 55, 70, 90, 2, 35, 55, 70, 90, 2, 35, 55, 70, 90, 2, 34,
658  55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70,
659  90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2,
660  34, 54, 69, 89, 2, 34, 54, 69, 89, 2, 34, 54, 69, 89, 2, 34, 54, 69, 89, 2, 33, 54, 69, 89, 2, 33, 54,
661  69, 89, 1, 25, 95, 1, 19, 100, 1, 17, 102, 1, 16, 103, 1, 15, 104, 1, 15, 105, 1, 14, 105, 1, 14, 106,
662  1, 14, 106, 1, 13, 106, 1, 13, 106, 1, 13, 106, 1, 14, 106, 1, 14, 106, 1, 14, 105, 1, 15, 105, 1, 15,
663  104, 1, 16, 103, 1, 17, 102, 1, 19, 100, 1, 25, 95, 2, 32, 52, 67, 88, 2, 32, 52, 67, 87, 2, 32, 52,
664  67, 87, 2, 32, 52, 67, 87, 2, 32, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87,
665  2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 51, 67, 87, 2, 31, 51, 66, 87, 2, 31,
666  51, 66, 87, 2, 31, 51, 66, 87, 2, 31, 51, 66, 86, 2, 31, 51, 66, 86, 2, 31, 51, 66, 86, 2, 31, 51, 66,
667  86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2,
668  30, 51, 66, 86, 2, 30, 50, 66, 86, 2, 30, 50, 65, 86, 2, 30, 50, 65, 86, 2, 30, 50, 65, 86, 2, 30, 50,
669  65, 86, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85, 2, 29, 50, 65, 85,
670  2, 29, 50, 65, 85, 2, 29, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30, 50, 65, 84, 2, 30, 49, 65, 84, 2, 30,
671  49, 65, 84, 2, 31, 49, 66, 84, 2, 31, 48, 66, 83, 2, 32, 47, 67, 82, 2, 33, 46, 68, 81, 2, 34, 45, 70,
672  80, 2, 36, 43, 71, 78, 36, 16, 183, 1, 61, 63, 1, 58, 67, 1, 56, 68, 1, 55, 69, 1, 54, 70, 1, 53, 71,
673  1, 53, 71, 1, 53, 71, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
674  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 73, 1, 48, 77, 1, 44, 81, 2, 42, 84, 88, 96, 1, 40, 98,
675  1, 38, 99, 1, 37, 100, 1, 35, 100, 1, 34, 101, 1, 33, 101, 1, 32, 101, 1, 31, 102, 1, 30, 102, 1, 29,
676  102, 1, 28, 102, 1, 28, 102, 1, 27, 102, 1, 26, 102, 1, 26, 102, 1, 25, 102, 2, 25, 58, 69, 102, 2, 24,
677  53, 73, 102, 2, 24, 50, 76, 102, 2, 24, 49, 78, 102, 2, 23, 47, 80, 102, 2, 23, 46, 81, 102, 2, 23, 45,
678  82, 102, 2, 23, 44, 82, 102, 2, 22, 44, 82, 101, 2, 22, 43, 83, 101, 2, 22, 43, 83, 101, 2, 22, 43, 84,
679  100, 2, 22, 42, 84, 100, 2, 22, 42, 85, 99, 2, 22, 42, 87, 98, 2, 22, 43, 88, 96, 1, 22, 43, 1, 23, 44,
680  1, 23, 44, 1, 23, 45, 1, 23, 47, 1, 23, 48, 1, 24, 51, 1, 24, 54, 1, 24, 58, 1, 25, 62, 1, 25, 67, 1,
681  26, 72, 1, 26, 76, 1, 27, 80, 1, 28, 83, 1, 29, 85, 1, 29, 88, 1, 30, 90, 1, 31, 92, 1, 33, 93, 1, 34,
682  95, 1, 35, 96, 1, 37, 97, 1, 39, 98, 1, 41, 99, 1, 43, 100, 1, 46, 101, 1, 50, 101, 1, 54, 102, 1, 59,
683  102, 1, 64, 103, 1, 69, 104, 1, 73, 104, 1, 76, 104, 1, 79, 105, 1, 81, 105, 1, 82, 105, 1, 83, 105,
684  1, 84, 106, 2, 26, 29, 85, 106, 2, 23, 32, 85, 106, 2, 22, 34, 86, 106, 2, 20, 35, 86, 106, 2, 20, 36,
685  86, 106, 2, 19, 36, 86, 106, 2, 19, 37, 86, 106, 2, 18, 37, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86,
686  106, 2, 18, 38, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 84, 106, 2, 18, 40, 84, 106, 2, 18, 41, 83, 105,
687  2, 18, 42, 82, 105, 2, 18, 43, 81, 105, 2, 18, 44, 79, 104, 2, 18, 46, 77, 104, 2, 18, 49, 75, 104, 2,
688  18, 52, 73, 103, 2, 18, 56, 68, 103, 1, 18, 102, 1, 18, 101, 1, 18, 101, 1, 18, 100, 1, 18, 99, 1, 18,
689  98, 1, 18, 98, 1, 18, 97, 1, 18, 96, 1, 18, 95, 1, 18, 94, 1, 19, 92, 1, 19, 91, 1, 19, 89, 1, 20, 88,
690  2, 21, 35, 39, 86, 2, 22, 33, 41, 83, 2, 24, 31, 44, 81, 1, 47, 77, 1, 51, 73, 1, 52, 72, 1, 52, 72,
691  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
692  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
693  72, 1, 52, 72, 1, 52, 72, 1, 53, 71, 1, 53, 71, 1, 53, 71, 1, 54, 70, 1, 55, 69, 1, 56, 68, 1, 57, 67,
694  1, 61, 63, 37, 30, 160, 1, 44, 54, 1, 40, 58, 1, 37, 61, 1, 36, 62, 1, 34, 64, 1, 32, 66, 1, 31, 67,
695  1, 30, 68, 1, 29, 69, 1, 28, 70, 1, 27, 71, 1, 26, 72, 1, 25, 73, 2, 25, 44, 54, 73, 2, 24, 42, 56, 74,
696  2, 24, 40, 58, 74, 2, 23, 39, 59, 75, 2, 23, 38, 61, 75, 2, 22, 37, 61, 76, 2, 22, 36, 62, 76, 2, 22,
697  35, 63, 76, 2, 21, 35, 63, 77, 2, 21, 34, 64, 77, 2, 21, 34, 64, 77, 2, 21, 34, 65, 77, 2, 21, 33, 65,
698  77, 2, 21, 33, 65, 77, 2, 20, 33, 65, 78, 2, 20, 33, 65, 78, 2, 20, 33, 65, 78, 2, 21, 33, 65, 78, 2,
699  21, 33, 65, 77, 2, 21, 33, 65, 77, 2, 21, 34, 64, 77, 2, 21, 34, 64, 77, 2, 21, 34, 64, 77, 2, 21, 35,
700  63, 77, 2, 22, 36, 63, 76, 2, 22, 36, 62, 76, 2, 22, 37, 61, 76, 2, 23, 38, 60, 75, 2, 23, 39, 59, 75,
701  2, 24, 41, 57, 74, 2, 25, 42, 56, 74, 2, 25, 45, 53, 73, 1, 26, 72, 2, 27, 71, 100, 103, 2, 28, 71, 96,
702  105, 2, 28, 70, 93, 106, 2, 29, 69, 90, 107, 2, 31, 68, 87, 107, 2, 32, 66, 84, 107, 2, 33, 65, 81, 108,
703  2, 35, 63, 78, 107, 2, 37, 62, 75, 107, 2, 39, 59, 72, 107, 2, 42, 56, 68, 106, 1, 65, 105, 1, 62, 103,
704  1, 59, 100, 1, 56, 97, 1, 53, 94, 1, 50, 91, 1, 47, 88, 1, 44, 85, 1, 41, 82, 1, 38, 78, 1, 35, 75, 1,
705  31, 72, 1, 28, 69, 1, 25, 66, 1, 22, 63, 1, 20, 60, 2, 19, 57, 69, 81, 2, 18, 54, 66, 84, 2, 17, 51,
706  63, 87, 2, 17, 47, 61, 88, 2, 17, 44, 59, 90, 2, 17, 41, 58, 92, 2, 17, 38, 57, 93, 2, 18, 35, 55, 94,
707  2, 18, 32, 54, 95, 2, 19, 29, 53, 96, 2, 20, 26, 53, 97, 1, 52, 98, 1, 51, 99, 2, 50, 69, 80, 99, 2,
708  50, 67, 82, 100, 2, 49, 65, 84, 100, 2, 49, 64, 85, 101, 2, 48, 63, 86, 101, 2, 48, 62, 87, 102, 2, 48,
709  61, 88, 102, 2, 47, 61, 89, 102, 2, 47, 60, 89, 102, 2, 47, 60, 90, 103, 2, 46, 59, 90, 103, 2, 46, 59,
710  90, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91,
711  103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 90, 103, 2, 46, 59, 90, 103, 2, 47, 60, 90, 103,
712  2, 47, 60, 89, 103, 2, 47, 61, 89, 102, 2, 47, 61, 88, 102, 2, 48, 62, 87, 102, 2, 48, 63, 86, 101, 2,
713  49, 64, 85, 101, 2, 49, 65, 84, 100, 2, 50, 67, 83, 100, 2, 50, 69, 81, 99, 2, 51, 73, 76, 99, 1, 52,
714  98, 1, 53, 97, 1, 53, 96, 1, 54, 95, 1, 55, 94, 1, 56, 93, 1, 58, 92, 1, 59, 91, 1, 61, 89, 1, 63, 87,
715  1, 65, 84, 1, 68, 81, 38, 44, 160, 1, 65, 72, 1, 59, 76, 2, 56, 79, 85, 89, 1, 54, 92, 1, 52, 94, 1,
716  50, 95, 1, 49, 96, 1, 48, 96, 1, 47, 97, 1, 46, 97, 1, 45, 97, 1, 44, 97, 1, 43, 97, 1, 42, 97, 1, 42,
717  97, 1, 41, 97, 1, 40, 97, 1, 40, 96, 1, 39, 95, 1, 39, 94, 1, 38, 93, 2, 38, 63, 73, 92, 2, 38, 61, 74,
718  90, 2, 37, 60, 76, 88, 2, 37, 59, 77, 86, 2, 37, 58, 78, 84, 2, 37, 58, 80, 82, 1, 37, 57, 1, 37, 57,
719  1, 37, 57, 1, 36, 57, 1, 36, 57, 1, 37, 57, 1, 37, 57, 1, 37, 58, 1, 37, 58, 1, 37, 59, 1, 37, 59, 1,
720  37, 60, 1, 38, 60, 1, 38, 61, 1, 39, 62, 1, 39, 62, 1, 39, 63, 1, 40, 64, 1, 40, 64, 1, 41, 65, 1, 42,
721  66, 1, 42, 66, 1, 43, 67, 1, 43, 68, 1, 42, 68, 1, 41, 69, 1, 39, 70, 1, 38, 71, 1, 37, 71, 2, 36, 72,
722  88, 105, 2, 35, 73, 88, 108, 2, 34, 73, 87, 109, 2, 33, 74, 87, 110, 2, 32, 75, 87, 110, 2, 31, 75, 87,
723  111, 2, 30, 76, 86, 111, 2, 30, 77, 86, 112, 2, 29, 77, 86, 112, 2, 28, 78, 85, 112, 2, 28, 79, 85, 112,
724  2, 27, 79, 85, 112, 3, 27, 54, 56, 80, 84, 112, 3, 27, 52, 56, 81, 84, 111, 3, 26, 51, 57, 81, 84, 111,
725  3, 26, 49, 58, 82, 84, 110, 2, 25, 48, 58, 110, 2, 25, 48, 59, 109, 2, 25, 47, 60, 108, 2, 25, 46, 60,
726  106, 2, 24, 46, 61, 103, 2, 24, 45, 62, 103, 2, 24, 45, 62, 103, 2, 24, 44, 63, 102, 2, 24, 44, 64, 102,
727  2, 24, 44, 65, 102, 2, 24, 44, 65, 102, 2, 24, 44, 66, 101, 2, 24, 44, 67, 101, 2, 24, 44, 67, 101, 2,
728  24, 44, 68, 100, 2, 24, 44, 69, 100, 2, 24, 45, 69, 99, 2, 24, 45, 70, 99, 2, 24, 46, 71, 98, 2, 24,
729  47, 71, 98, 2, 25, 48, 72, 97, 2, 25, 49, 71, 105, 2, 25, 51, 69, 108, 2, 26, 55, 65, 109, 1, 26, 110,
730  1, 26, 111, 1, 27, 111, 1, 28, 112, 1, 28, 112, 1, 29, 112, 1, 29, 112, 1, 30, 112, 1, 31, 112, 1, 32,
731  112, 1, 33, 112, 1, 34, 111, 1, 35, 111, 1, 37, 110, 2, 38, 84, 85, 109, 2, 40, 82, 85, 108, 2, 42, 80,
732  86, 105, 1, 44, 78, 1, 48, 76, 1, 52, 71, 39, 33, 93, 1, 49, 75, 1, 49, 75, 1, 49, 75, 1, 49, 75, 1,
733  49, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 51,
734  73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 52, 73, 1, 52, 72, 1, 52, 72,
735  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 53, 72, 1, 53, 72, 1, 53, 71, 1, 53, 71, 1, 53, 71, 1,
736  53, 71, 1, 53, 71, 1, 53, 71, 1, 54, 71, 1, 54, 71, 1, 54, 70, 1, 54, 70, 1, 54, 70, 1, 54, 70, 1, 54,
737  70, 1, 55, 70, 1, 55, 70, 1, 55, 70, 1, 55, 69, 1, 55, 69, 1, 55, 69, 1, 55, 69, 1, 55, 69, 1, 56, 69,
738  1, 56, 69, 1, 56, 69, 1, 56, 68, 1, 56, 68, 1, 57, 68, 1, 57, 68, 1, 58, 67, 1, 58, 66, 1, 60, 64, 40,
739  27, 189, 1, 88, 92, 1, 85, 95, 1, 84, 97, 1, 82, 98, 1, 82, 98, 1, 81, 99, 1, 80, 100, 1, 79, 100, 1,
740  79, 100, 1, 78, 100, 1, 77, 100, 1, 77, 100, 1, 76, 100, 1, 76, 100, 1, 75, 99, 1, 74, 99, 1, 74, 98,
741  1, 73, 98, 1, 73, 97, 1, 72, 97, 1, 72, 96, 1, 71, 95, 1, 71, 95, 1, 70, 94, 1, 70, 94, 1, 69, 93, 1,
742  69, 93, 1, 68, 92, 1, 68, 92, 1, 67, 91, 1, 67, 90, 1, 66, 90, 1, 66, 89, 1, 65, 89, 1, 65, 88, 1, 65,
743  88, 1, 64, 88, 1, 64, 87, 1, 63, 87, 1, 63, 86, 1, 62, 86, 1, 62, 85, 1, 62, 85, 1, 61, 85, 1, 61, 84,
744  1, 61, 84, 1, 60, 84, 1, 60, 83, 1, 60, 83, 1, 60, 83, 1, 59, 82, 1, 59, 82, 1, 59, 82, 1, 58, 81, 1,
745  58, 81, 1, 58, 81, 1, 58, 81, 1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 57, 79, 1, 56, 79, 1, 56,
746  79, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 56, 78, 1, 56, 78, 1, 56, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78,
747  1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1,
748  55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55,
749  78, 1, 56, 78, 1, 56, 78, 1, 56, 78, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 57, 79, 1, 57, 79,
750  1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 58, 81, 1, 58, 81, 1, 58, 81, 1, 58, 81, 1, 59, 82, 1,
751  59, 82, 1, 59, 82, 1, 60, 83, 1, 60, 83, 1, 60, 83, 1, 60, 84, 1, 61, 84, 1, 61, 84, 1, 61, 85, 1, 62,
752  85, 1, 62, 85, 1, 63, 86, 1, 63, 86, 1, 63, 87, 1, 64, 87, 1, 64, 88, 1, 65, 88, 1, 65, 88, 1, 65, 89,
753  1, 66, 89, 1, 66, 90, 1, 67, 90, 1, 67, 91, 1, 68, 91, 1, 68, 92, 1, 69, 92, 1, 69, 93, 1, 70, 94, 1,
754  70, 94, 1, 71, 95, 1, 71, 95, 1, 72, 96, 1, 72, 96, 1, 73, 97, 1, 73, 98, 1, 74, 98, 1, 75, 99, 1, 75,
755  99, 1, 76, 100, 1, 76, 100, 1, 77, 100, 1, 77, 100, 1, 78, 100, 1, 79, 100, 1, 79, 100, 1, 80, 100, 1,
756  81, 99, 1, 82, 98, 1, 83, 98, 1, 84, 97, 1, 85, 95, 1, 88, 92, 41, 27, 189, 1, 33, 38, 1, 31, 40, 1,
757  29, 42, 1, 28, 43, 1, 27, 44, 1, 26, 45, 1, 26, 45, 1, 26, 46, 1, 26, 47, 1, 25, 47, 1, 25, 48, 1, 25,
758  49, 1, 26, 49, 1, 26, 50, 1, 26, 50, 1, 27, 51, 1, 27, 52, 1, 28, 52, 1, 28, 53, 1, 29, 53, 1, 30, 54,
759  1, 30, 54, 1, 31, 55, 1, 31, 55, 1, 32, 56, 1, 33, 56, 1, 33, 57, 1, 34, 57, 1, 34, 58, 1, 35, 58, 1,
760  35, 59, 1, 36, 59, 1, 36, 60, 1, 37, 60, 1, 37, 61, 1, 37, 61, 1, 38, 61, 1, 38, 62, 1, 39, 62, 1, 39,
761  63, 1, 40, 63, 1, 40, 63, 1, 41, 64, 1, 41, 64, 1, 41, 64, 1, 42, 65, 1, 42, 65, 1, 42, 66, 1, 43, 66,
762  1, 43, 66, 1, 43, 66, 1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 45, 68, 1, 45, 68, 1, 45, 68, 1,
763  45, 68, 1, 46, 68, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 47, 69, 1, 47, 70, 1, 47, 70, 1, 47,
764  70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 48, 70, 1, 48, 70, 1, 48, 70, 1, 48, 71, 1, 48, 71, 1, 48, 71,
765  1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1,
766  48, 71, 1, 48, 70, 1, 48, 70, 1, 48, 70, 1, 48, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 47,
767  70, 1, 47, 70, 1, 47, 69, 1, 47, 69, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 46, 68, 1, 46, 68, 1, 45, 68,
768  1, 45, 68, 1, 45, 68, 1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 43, 66, 1, 43, 66, 1, 43, 66, 1,
769  42, 65, 1, 42, 65, 1, 42, 65, 1, 41, 64, 1, 41, 64, 1, 41, 64, 1, 40, 63, 1, 40, 63, 1, 39, 63, 1, 39,
770  62, 1, 38, 62, 1, 38, 61, 1, 38, 61, 1, 37, 61, 1, 37, 60, 1, 36, 60, 1, 36, 59, 1, 35, 59, 1, 35, 58,
771  1, 34, 58, 1, 34, 57, 1, 33, 57, 1, 33, 56, 1, 32, 56, 1, 31, 55, 1, 31, 55, 1, 30, 54, 1, 30, 54, 1,
772  29, 53, 1, 28, 53, 1, 28, 52, 1, 27, 52, 1, 27, 51, 1, 26, 50, 1, 26, 50, 1, 26, 49, 1, 25, 49, 1, 25,
773  48, 1, 25, 47, 1, 26, 47, 1, 26, 46, 1, 26, 45, 1, 26, 45, 1, 27, 44, 1, 28, 43, 1, 29, 42, 1, 30, 40,
774  1, 33, 38, 42, 29, 114, 1, 59, 65, 1, 57, 67, 1, 55, 68, 1, 54, 69, 1, 54, 70, 1, 53, 71, 1, 53, 71,
775  1, 52, 71, 1, 52, 71, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
776  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 3, 25,
777  31, 52, 72, 93, 99, 3, 23, 34, 52, 72, 90, 101, 3, 21, 37, 52, 72, 86, 103, 3, 20, 40, 52, 72, 83, 104,
778  3, 20, 43, 52, 72, 80, 104, 3, 19, 47, 52, 72, 77, 105, 3, 18, 50, 52, 72, 74, 105, 1, 18, 106, 1, 18,
779  106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 19, 105, 1, 19, 104, 1, 20, 104,
780  1, 21, 103, 1, 22, 101, 1, 24, 99, 1, 27, 97, 1, 30, 94, 1, 33, 91, 1, 36, 88, 1, 39, 84, 1, 43, 81,
781  1, 45, 78, 1, 45, 79, 1, 44, 80, 1, 43, 81, 1, 43, 81, 1, 42, 82, 1, 41, 83, 1, 40, 83, 1, 40, 84, 1,
782  39, 85, 1, 38, 86, 1, 37, 86, 1, 37, 87, 2, 36, 61, 63, 88, 2, 35, 60, 63, 88, 2, 35, 60, 64, 89, 2,
783  34, 59, 65, 90, 2, 33, 58, 66, 91, 2, 33, 57, 66, 91, 2, 32, 57, 67, 92, 2, 32, 56, 68, 92, 2, 31, 55,
784  69, 93, 2, 31, 55, 69, 93, 2, 31, 54, 70, 93, 2, 31, 53, 71, 93, 2, 31, 52, 71, 93, 2, 31, 52, 72, 93,
785  2, 31, 51, 73, 92, 2, 32, 50, 74, 92, 2, 32, 49, 74, 91, 2, 33, 49, 75, 91, 2, 34, 48, 76, 90, 2, 35,
786  46, 77, 88, 2, 37, 45, 79, 87, 43, 42, 157, 1, 59, 65, 1, 57, 67, 1, 56, 69, 1, 55, 70, 1, 54, 70, 1,
787  53, 71, 1, 53, 71, 1, 53, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
788  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
789  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
790  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
791  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 21, 102, 1, 15, 109, 1, 13, 111, 1, 12, 112, 1, 11,
792  113, 1, 11, 113, 1, 10, 114, 1, 10, 114, 1, 10, 115, 1, 9, 115, 1, 9, 115, 1, 9, 115, 1, 10, 115, 1,
793  10, 114, 1, 10, 114, 1, 11, 114, 1, 11, 113, 1, 12, 112, 1, 13, 111, 1, 15, 109, 1, 19, 105, 1, 52, 72,
794  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
795  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
796  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
797  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
798  52, 72, 1, 53, 72, 1, 53, 71, 1, 53, 71, 1, 54, 71, 1, 54, 70, 1, 55, 69, 1, 56, 68, 1, 58, 66, 44, 130,
799  190, 1, 57, 84, 1, 57, 84, 1, 57, 83, 1, 56, 82, 1, 56, 82, 1, 56, 81, 1, 55, 81, 1, 55, 80, 1, 55, 80,
800  1, 55, 79, 1, 54, 79, 1, 54, 78, 1, 54, 78, 1, 54, 77, 1, 53, 77, 1, 53, 76, 1, 53, 76, 1, 52, 75, 1,
801  52, 75, 1, 52, 74, 1, 52, 73, 1, 51, 73, 1, 51, 72, 1, 51, 72, 1, 50, 71, 1, 50, 71, 1, 50, 70, 1, 50,
802  70, 1, 49, 69, 1, 49, 69, 1, 49, 68, 1, 49, 68, 1, 48, 67, 1, 48, 67, 1, 48, 66, 1, 47, 66, 1, 47, 65,
803  1, 47, 64, 1, 47, 64, 1, 46, 63, 1, 46, 63, 1, 46, 62, 1, 45, 62, 1, 45, 61, 1, 45, 61, 1, 45, 60, 1,
804  44, 60, 1, 44, 59, 1, 44, 59, 1, 43, 58, 1, 43, 58, 1, 43, 57, 1, 43, 56, 1, 43, 56, 1, 43, 55, 1, 43,
805  55, 1, 43, 54, 1, 44, 53, 1, 45, 52, 1, 47, 51, 45, 90, 109, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20,
806  105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105,
807  1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 46, 134, 160, 1,
808  56, 68, 1, 54, 71, 1, 52, 72, 1, 51, 74, 1, 50, 74, 1, 49, 75, 1, 49, 76, 1, 48, 76, 1, 48, 77, 1, 48,
809  77, 1, 47, 77, 1, 47, 77, 1, 47, 78, 1, 47, 78, 1, 47, 77, 1, 47, 77, 1, 48, 77, 1, 48, 77, 1, 48, 76,
810  1, 49, 76, 1, 49, 75, 1, 50, 75, 1, 51, 74, 1, 52, 72, 1, 54, 71, 1, 56, 69, 47, 14, 181, 1, 94, 98,
811  1, 91, 101, 1, 90, 102, 1, 89, 104, 1, 88, 104, 1, 88, 105, 1, 87, 106, 1, 86, 106, 1, 86, 106, 1, 85,
812  106, 1, 85, 106, 1, 84, 106, 1, 84, 106, 1, 83, 106, 1, 83, 105, 1, 83, 105, 1, 82, 104, 1, 82, 104,
813  1, 81, 103, 1, 81, 103, 1, 80, 103, 1, 80, 102, 1, 79, 102, 1, 79, 101, 1, 78, 101, 1, 78, 100, 1, 77,
814  100, 1, 77, 99, 1, 77, 99, 1, 76, 98, 1, 76, 98, 1, 75, 97, 1, 75, 97, 1, 74, 96, 1, 74, 96, 1, 73, 96,
815  1, 73, 95, 1, 72, 95, 1, 72, 94, 1, 71, 94, 1, 71, 93, 1, 70, 93, 1, 70, 92, 1, 70, 92, 1, 69, 91, 1,
816  69, 91, 1, 68, 90, 1, 68, 90, 1, 67, 90, 1, 67, 89, 1, 66, 89, 1, 66, 88, 1, 65, 88, 1, 65, 87, 1, 64,
817  87, 1, 64, 86, 1, 63, 86, 1, 63, 85, 1, 63, 85, 1, 62, 84, 1, 62, 84, 1, 61, 83, 1, 61, 83, 1, 60, 83,
818  1, 60, 82, 1, 59, 82, 1, 59, 81, 1, 58, 81, 1, 58, 80, 1, 57, 80, 1, 57, 79, 1, 56, 79, 1, 56, 78, 1,
819  56, 78, 1, 55, 77, 1, 55, 77, 1, 54, 77, 1, 54, 76, 1, 53, 76, 1, 53, 75, 1, 52, 75, 1, 52, 74, 1, 51,
820  74, 1, 51, 73, 1, 50, 73, 1, 50, 72, 1, 50, 72, 1, 49, 71, 1, 49, 71, 1, 48, 71, 1, 48, 70, 1, 47, 70,
821  1, 47, 69, 1, 46, 69, 1, 46, 68, 1, 45, 68, 1, 45, 67, 1, 44, 67, 1, 44, 66, 1, 43, 66, 1, 43, 65, 1,
822  43, 65, 1, 42, 64, 1, 42, 64, 1, 41, 64, 1, 41, 63, 1, 40, 63, 1, 40, 62, 1, 39, 62, 1, 39, 61, 1, 38,
823  61, 1, 38, 60, 1, 37, 60, 1, 37, 59, 1, 36, 59, 1, 36, 58, 1, 36, 58, 1, 35, 58, 1, 35, 57, 1, 34, 57,
824  1, 34, 56, 1, 33, 56, 1, 33, 55, 1, 32, 55, 1, 32, 54, 1, 31, 54, 1, 31, 53, 1, 30, 53, 1, 30, 52, 1,
825  29, 52, 1, 29, 51, 1, 29, 51, 1, 28, 51, 1, 28, 50, 1, 27, 50, 1, 27, 49, 1, 26, 49, 1, 26, 48, 1, 25,
826  48, 1, 25, 47, 1, 24, 47, 1, 24, 46, 1, 23, 46, 1, 23, 45, 1, 22, 45, 1, 22, 45, 1, 22, 44, 1, 21, 44,
827  1, 21, 43, 1, 20, 43, 1, 20, 42, 1, 19, 42, 1, 19, 41, 1, 19, 41, 1, 18, 40, 1, 18, 40, 1, 18, 39, 1,
828  18, 39, 1, 18, 38, 1, 19, 38, 1, 19, 37, 1, 19, 37, 1, 20, 36, 1, 21, 35, 1, 22, 34, 1, 24, 33, 1, 28,
829  29, 48, 26, 160, 1, 55, 69, 1, 51, 74, 1, 47, 77, 1, 45, 79, 1, 43, 81, 1, 42, 83, 1, 40, 84, 1, 39,
830  85, 1, 38, 87, 1, 36, 88, 1, 35, 89, 1, 34, 90, 1, 33, 90, 1, 33, 91, 1, 32, 92, 1, 31, 93, 1, 30, 93,
831  1, 30, 94, 1, 29, 95, 1, 29, 95, 2, 28, 60, 65, 96, 2, 27, 55, 69, 97, 2, 27, 53, 71, 97, 2, 26, 52,
832  73, 98, 2, 26, 50, 74, 98, 2, 25, 49, 75, 99, 2, 25, 48, 76, 99, 2, 24, 47, 77, 100, 2, 24, 47, 78, 100,
833  2, 23, 46, 78, 101, 2, 23, 45, 79, 101, 2, 23, 45, 80, 102, 2, 22, 44, 80, 102, 2, 22, 43, 81, 102, 2,
834  22, 43, 81, 103, 2, 21, 42, 82, 103, 2, 21, 42, 82, 103, 2, 21, 42, 82, 104, 2, 20, 41, 83, 104, 2, 20,
835  41, 83, 104, 2, 20, 40, 84, 105, 2, 20, 40, 84, 105, 2, 19, 40, 84, 105, 2, 19, 40, 84, 105, 2, 19, 39,
836  85, 105, 2, 19, 39, 85, 105, 2, 19, 39, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 86,
837  106, 2, 18, 39, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106,
838  2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2,
839  18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18,
840  38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38,
841  86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86,
842  106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106,
843  2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 85, 106, 2,
844  18, 39, 85, 106, 2, 19, 39, 85, 106, 2, 19, 39, 85, 106, 2, 19, 40, 85, 105, 2, 19, 40, 85, 105, 2, 19,
845  40, 84, 105, 2, 20, 40, 84, 105, 2, 20, 40, 84, 104, 2, 20, 41, 83, 104, 2, 20, 41, 83, 104, 2, 21, 42,
846  83, 104, 2, 21, 42, 82, 104, 2, 21, 43, 82, 103, 2, 22, 43, 81, 103, 2, 22, 43, 81, 102, 2, 22, 44, 80,
847  102, 2, 23, 45, 80, 102, 2, 23, 45, 79, 101, 2, 24, 46, 78, 101, 2, 24, 46, 78, 100, 2, 24, 47, 77, 100,
848  2, 25, 48, 76, 100, 2, 25, 49, 75, 99, 2, 26, 50, 74, 99, 2, 26, 51, 73, 98, 2, 27, 53, 71, 97, 2, 28,
849  55, 69, 97, 2, 28, 58, 67, 96, 1, 29, 96, 1, 29, 95, 1, 30, 95, 1, 31, 94, 1, 31, 93, 1, 32, 93, 1, 33,
850  92, 1, 34, 91, 1, 34, 90, 1, 35, 89, 1, 36, 88, 1, 37, 87, 1, 39, 86, 1, 40, 85, 1, 41, 83, 1, 43, 81,
851  1, 45, 79, 1, 47, 77, 1, 50, 74, 1, 54, 70, 49, 26, 157, 1, 70, 72, 1, 66, 72, 1, 63, 72, 1, 59, 72,
852  1, 55, 72, 1, 51, 72, 1, 47, 72, 1, 43, 72, 1, 39, 72, 1, 35, 72, 1, 31, 72, 1, 28, 72, 1, 25, 72, 1,
853  23, 72, 1, 21, 72, 1, 20, 72, 1, 19, 72, 1, 19, 72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 18,
854  72, 1, 18, 72, 1, 18, 72, 1, 19, 72, 1, 19, 72, 2, 20, 48, 52, 72, 2, 20, 44, 52, 72, 2, 21, 40, 52,
855  72, 2, 22, 36, 52, 72, 2, 24, 32, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
856  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
857  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
858  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
859  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
860  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
861  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
862  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
863  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 26, 98, 1,
864  23, 101, 1, 22, 103, 1, 21, 104, 1, 20, 105, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106,
865  1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 19, 106, 1, 19, 106, 1, 20, 105, 1, 20, 104, 1, 21, 103, 1, 23,
866  102, 1, 25, 99, 50, 26, 157, 1, 53, 68, 1, 48, 73, 1, 45, 77, 1, 42, 79, 1, 39, 81, 1, 37, 84, 1, 36,
867  86, 1, 34, 87, 1, 32, 88, 1, 31, 89, 1, 30, 91, 1, 28, 92, 1, 27, 93, 1, 26, 94, 1, 25, 95, 1, 25, 96,
868  1, 24, 97, 1, 23, 97, 1, 22, 98, 1, 22, 99, 2, 21, 57, 64, 99, 2, 21, 52, 69, 100, 2, 20, 49, 72, 100,
869  2, 19, 47, 74, 101, 2, 19, 45, 76, 101, 2, 19, 44, 77, 102, 2, 18, 42, 78, 102, 2, 18, 41, 79, 102, 2,
870  17, 40, 80, 103, 2, 17, 40, 81, 103, 2, 17, 39, 82, 103, 2, 17, 38, 82, 104, 2, 16, 38, 83, 104, 2, 16,
871  37, 83, 104, 2, 16, 37, 83, 104, 2, 16, 37, 84, 104, 2, 16, 36, 84, 104, 2, 17, 36, 84, 104, 2, 17, 35,
872  84, 104, 2, 18, 35, 84, 104, 2, 19, 34, 84, 104, 2, 20, 33, 84, 104, 2, 21, 32, 84, 104, 2, 23, 30, 83,
873  104, 1, 83, 104, 1, 82, 104, 1, 82, 104, 1, 81, 104, 1, 81, 103, 1, 80, 103, 1, 79, 103, 1, 78, 102,
874  1, 77, 102, 1, 77, 102, 1, 76, 101, 1, 75, 101, 1, 74, 100, 1, 73, 100, 1, 72, 99, 1, 71, 98, 1, 69,
875  98, 1, 68, 97, 1, 67, 96, 1, 66, 95, 1, 65, 94, 1, 64, 93, 1, 63, 92, 1, 62, 92, 1, 61, 91, 1, 60, 90,
876  1, 59, 89, 1, 57, 88, 1, 56, 87, 1, 55, 86, 1, 54, 85, 1, 53, 84, 1, 52, 83, 1, 51, 81, 1, 49, 80, 1,
877  48, 79, 1, 47, 78, 1, 46, 77, 1, 45, 76, 1, 44, 75, 1, 42, 74, 1, 41, 73, 1, 40, 71, 1, 39, 70, 1, 38,
878  69, 1, 37, 68, 1, 35, 67, 1, 34, 66, 1, 33, 65, 1, 32, 63, 1, 31, 62, 1, 29, 61, 1, 28, 60, 1, 27, 59,
879  1, 26, 58, 1, 25, 57, 1, 23, 55, 1, 22, 54, 1, 21, 53, 1, 20, 52, 1, 18, 51, 1, 17, 50, 1, 16, 48, 1,
880  15, 47, 2, 14, 46, 92, 98, 2, 12, 45, 90, 100, 2, 12, 44, 88, 101, 1, 12, 102, 1, 12, 103, 1, 12, 103,
881  1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 105, 1, 12, 105, 1, 12,
882  105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105,
883  51, 26, 160, 1, 53, 70, 1, 49, 75, 1, 44, 79, 1, 41, 82, 1, 39, 84, 1, 36, 86, 1, 35, 88, 1, 33, 89,
884  1, 31, 90, 1, 30, 92, 1, 28, 93, 1, 27, 94, 1, 26, 95, 1, 25, 96, 1, 24, 97, 1, 23, 97, 1, 23, 98, 1,
885  22, 99, 1, 22, 99, 1, 21, 100, 2, 21, 56, 67, 101, 2, 21, 51, 72, 101, 2, 21, 48, 75, 102, 2, 21, 46,
886  76, 102, 2, 21, 44, 78, 102, 2, 21, 43, 79, 103, 2, 21, 42, 80, 103, 2, 22, 40, 81, 103, 2, 23, 39, 82,
887  104, 2, 23, 38, 82, 104, 2, 24, 37, 83, 104, 2, 26, 36, 83, 104, 2, 29, 34, 84, 104, 1, 84, 104, 1, 84,
888  104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 83, 104, 1, 83, 104, 1, 82, 104,
889  1, 82, 104, 1, 81, 104, 1, 80, 103, 1, 80, 103, 1, 79, 103, 1, 77, 102, 1, 76, 102, 1, 74, 101, 1, 72,
890  101, 1, 57, 100, 1, 52, 100, 1, 51, 99, 1, 49, 98, 1, 48, 98, 1, 48, 97, 1, 47, 96, 1, 47, 95, 1, 47,
891  94, 1, 46, 93, 1, 46, 92, 1, 46, 91, 1, 46, 92, 1, 47, 94, 1, 47, 95, 1, 47, 96, 1, 48, 97, 1, 49, 98,
892  1, 50, 99, 1, 52, 100, 1, 55, 101, 1, 63, 102, 1, 69, 102, 1, 72, 103, 1, 74, 104, 1, 76, 104, 1, 78,
893  105, 1, 79, 105, 1, 80, 106, 1, 81, 106, 1, 82, 107, 1, 83, 107, 1, 84, 107, 1, 85, 108, 1, 86, 108,
894  1, 86, 108, 1, 87, 108, 1, 87, 108, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 89,
895  109, 1, 89, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 108, 1, 87, 108, 1, 87, 108,
896  1, 86, 108, 1, 85, 108, 1, 84, 107, 2, 21, 28, 83, 107, 2, 19, 30, 82, 107, 2, 18, 32, 80, 106, 2, 17,
897  34, 78, 106, 2, 16, 36, 75, 105, 2, 16, 39, 71, 105, 2, 15, 45, 64, 104, 1, 15, 104, 1, 15, 103, 1, 15,
898  102, 1, 15, 102, 1, 15, 101, 1, 15, 100, 1, 15, 99, 1, 16, 98, 1, 16, 97, 1, 17, 96, 1, 18, 95, 1, 19,
899  93, 1, 21, 92, 1, 23, 90, 1, 25, 88, 1, 27, 86, 1, 29, 83, 1, 33, 80, 1, 37, 76, 1, 44, 69, 52, 29, 157,
900  1, 65, 92, 1, 64, 92, 1, 64, 92, 1, 63, 92, 1, 62, 92, 1, 62, 92, 1, 61, 92, 1, 61, 92, 1, 60, 92, 1,
901  60, 92, 1, 59, 92, 1, 58, 92, 1, 58, 92, 1, 57, 92, 1, 57, 92, 1, 56, 92, 1, 55, 92, 1, 55, 92, 1, 54,
902  92, 1, 54, 92, 1, 53, 92, 1, 52, 92, 1, 52, 92, 1, 51, 92, 1, 51, 92, 1, 50, 92, 1, 50, 92, 1, 49, 92,
903  1, 48, 92, 1, 48, 92, 2, 47, 71, 72, 92, 2, 47, 70, 72, 92, 2, 46, 70, 72, 92, 2, 45, 69, 72, 92, 2,
904  45, 69, 72, 92, 2, 44, 68, 72, 92, 2, 44, 68, 72, 92, 2, 43, 67, 72, 92, 2, 43, 66, 72, 92, 2, 42, 66,
905  72, 92, 2, 41, 65, 72, 92, 2, 41, 65, 72, 92, 2, 40, 64, 72, 92, 2, 40, 63, 72, 92, 2, 39, 63, 72, 92,
906  2, 38, 62, 72, 92, 2, 38, 62, 72, 92, 2, 37, 61, 72, 92, 2, 37, 60, 72, 92, 2, 36, 60, 72, 92, 2, 35,
907  59, 72, 92, 2, 35, 59, 72, 92, 2, 34, 58, 72, 92, 2, 34, 58, 72, 92, 2, 33, 57, 72, 92, 2, 33, 56, 72,
908  92, 2, 32, 56, 72, 92, 2, 31, 55, 72, 92, 2, 31, 55, 72, 92, 2, 30, 54, 72, 92, 2, 30, 53, 72, 92, 2,
909  29, 53, 72, 92, 2, 28, 52, 72, 92, 2, 28, 52, 72, 92, 2, 27, 51, 72, 92, 2, 27, 50, 72, 92, 2, 26, 50,
910  72, 92, 2, 25, 49, 72, 92, 2, 25, 49, 72, 92, 2, 24, 48, 72, 92, 2, 24, 47, 72, 92, 2, 23, 47, 72, 92,
911  2, 23, 46, 72, 92, 2, 22, 46, 72, 92, 2, 21, 45, 72, 92, 2, 21, 45, 72, 92, 2, 20, 44, 72, 92, 2, 20,
912  43, 72, 92, 2, 19, 43, 72, 92, 2, 18, 42, 72, 92, 1, 18, 98, 1, 17, 100, 1, 17, 101, 1, 16, 102, 1, 16,
913  103, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104,
914  1, 16, 104, 1, 16, 103, 1, 16, 103, 1, 16, 102, 1, 16, 101, 1, 16, 99, 1, 16, 96, 1, 72, 92, 1, 72, 92,
915  1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 58, 97, 1, 55, 99, 1, 54, 101, 1,
916  53, 102, 1, 52, 103, 1, 51, 103, 1, 51, 104, 1, 50, 104, 1, 50, 104, 1, 50, 104, 1, 50, 104, 1, 50, 104,
917  1, 50, 104, 1, 51, 104, 1, 51, 103, 1, 52, 103, 1, 52, 102, 1, 53, 101, 1, 55, 100, 1, 57, 97, 53, 29,
918  160, 1, 25, 91, 1, 25, 95, 1, 25, 96, 1, 25, 98, 1, 25, 99, 1, 25, 99, 1, 25, 100, 1, 25, 100, 1, 25,
919  100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 99, 1, 25, 98, 1,
920  25, 97, 1, 25, 96, 1, 25, 94, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25,
921  45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45,
922  1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 2, 25, 45, 59, 72, 2, 25, 45, 53, 77, 2, 25, 45,
923  49, 80, 1, 25, 83, 1, 25, 85, 1, 25, 87, 1, 25, 89, 1, 25, 90, 1, 25, 92, 1, 25, 93, 1, 25, 94, 1, 25,
924  95, 1, 25, 96, 1, 25, 97, 1, 25, 98, 1, 25, 99, 1, 25, 100, 1, 25, 100, 1, 25, 101, 1, 25, 102, 2, 25,
925  64, 67, 102, 2, 25, 57, 73, 103, 2, 26, 53, 76, 104, 2, 26, 50, 77, 104, 2, 27, 47, 79, 105, 2, 27, 45,
926  80, 105, 2, 28, 43, 81, 105, 2, 29, 40, 82, 106, 2, 31, 38, 83, 106, 1, 84, 107, 1, 85, 107, 1, 85, 107,
927  1, 86, 107, 1, 86, 108, 1, 87, 108, 1, 87, 108, 1, 87, 108, 1, 88, 108, 1, 88, 108, 1, 88, 109, 1, 88,
928  109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 88, 109,
929  1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 108, 1, 88, 108, 1, 87, 108, 1, 87, 108, 1, 87,
930  108, 1, 86, 108, 1, 86, 107, 2, 22, 27, 85, 107, 2, 20, 29, 84, 107, 2, 18, 31, 83, 106, 2, 17, 32, 82,
931  106, 2, 16, 34, 81, 106, 2, 16, 35, 80, 105, 2, 15, 37, 78, 105, 2, 15, 39, 75, 104, 2, 14, 42, 72, 104,
932  2, 14, 48, 66, 103, 1, 14, 103, 1, 15, 102, 1, 15, 101, 1, 15, 101, 1, 15, 100, 1, 16, 99, 1, 16, 98,
933  1, 17, 97, 1, 18, 96, 1, 19, 95, 1, 21, 94, 1, 22, 92, 1, 24, 91, 1, 26, 89, 1, 28, 87, 1, 30, 85, 1,
934  33, 83, 1, 36, 80, 1, 40, 76, 1, 46, 70, 54, 26, 160, 1, 79, 94, 1, 74, 99, 1, 71, 102, 1, 68, 104, 1,
935  65, 106, 1, 63, 107, 1, 61, 108, 1, 59, 109, 1, 57, 110, 1, 56, 110, 1, 54, 110, 1, 53, 111, 1, 51, 111,
936  1, 50, 111, 1, 49, 111, 1, 48, 110, 1, 46, 110, 1, 45, 110, 1, 44, 109, 1, 43, 109, 2, 42, 82, 92, 108,
937  2, 41, 78, 95, 107, 2, 40, 75, 97, 105, 2, 39, 73, 100, 101, 1, 38, 70, 1, 38, 68, 1, 37, 67, 1, 36,
938  65, 1, 35, 64, 1, 35, 62, 1, 34, 61, 1, 33, 60, 1, 33, 59, 1, 32, 58, 1, 31, 57, 1, 31, 56, 1, 30, 55,
939  1, 30, 54, 1, 29, 53, 1, 29, 53, 1, 28, 52, 1, 28, 51, 1, 27, 50, 1, 27, 50, 1, 27, 49, 1, 26, 49, 1,
940  26, 48, 1, 26, 48, 1, 25, 47, 1, 25, 47, 2, 25, 46, 68, 76, 2, 25, 46, 62, 81, 2, 24, 46, 59, 84, 2,
941  24, 45, 56, 86, 2, 24, 45, 54, 88, 2, 24, 45, 52, 90, 2, 24, 44, 50, 92, 2, 23, 44, 49, 93, 2, 23, 44,
942  48, 94, 2, 23, 44, 46, 95, 2, 23, 43, 45, 97, 2, 23, 43, 44, 98, 1, 23, 99, 1, 23, 100, 1, 23, 100, 1,
943  23, 101, 1, 23, 102, 1, 23, 103, 1, 23, 103, 1, 23, 104, 1, 23, 105, 2, 23, 66, 76, 105, 2, 23, 63, 78,
944  106, 2, 23, 62, 80, 106, 2, 23, 60, 82, 107, 2, 23, 59, 83, 107, 2, 23, 58, 84, 108, 2, 23, 57, 85, 108,
945  2, 23, 56, 85, 108, 2, 23, 55, 86, 109, 2, 23, 54, 87, 109, 2, 23, 53, 88, 109, 2, 23, 52, 88, 109, 2,
946  23, 51, 88, 110, 2, 24, 51, 89, 110, 2, 24, 50, 89, 110, 2, 24, 50, 90, 110, 2, 24, 49, 90, 110, 2, 24,
947  48, 90, 110, 2, 24, 48, 90, 111, 2, 24, 47, 90, 111, 2, 25, 47, 91, 111, 2, 25, 46, 91, 111, 2, 25, 46,
948  91, 111, 2, 25, 46, 91, 111, 2, 25, 47, 91, 111, 2, 26, 47, 91, 111, 2, 26, 47, 91, 111, 2, 26, 48, 90,
949  111, 2, 27, 48, 90, 111, 2, 27, 48, 90, 111, 2, 27, 49, 90, 110, 2, 27, 49, 89, 110, 2, 28, 50, 89, 110,
950  2, 28, 50, 88, 110, 2, 29, 51, 88, 110, 2, 29, 52, 87, 109, 2, 29, 53, 86, 109, 2, 30, 54, 85, 109, 2,
951  30, 55, 84, 109, 2, 31, 56, 83, 108, 2, 31, 58, 81, 108, 2, 32, 60, 79, 107, 2, 32, 64, 75, 107, 1, 33,
952  106, 1, 33, 106, 1, 34, 105, 1, 34, 105, 1, 35, 104, 1, 36, 103, 1, 37, 102, 1, 38, 101, 1, 39, 101,
953  1, 40, 100, 1, 41, 98, 1, 42, 97, 1, 43, 96, 1, 45, 95, 1, 46, 93, 1, 48, 91, 1, 50, 89, 1, 53, 87, 1,
954  56, 83, 1, 61, 79, 55, 29, 157, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104,
955  1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16,
956  104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 2, 16, 37, 83, 104, 2, 16, 36, 83, 104,
957  2, 17, 36, 82, 104, 2, 17, 36, 82, 103, 2, 17, 36, 82, 103, 2, 17, 36, 81, 103, 2, 18, 35, 81, 102, 2,
958  18, 35, 81, 102, 2, 19, 34, 80, 102, 2, 20, 33, 80, 101, 2, 22, 31, 80, 101, 2, 24, 28, 79, 101, 1, 79,
959  100, 1, 79, 100, 1, 78, 100, 1, 78, 99, 1, 78, 99, 1, 77, 99, 1, 77, 98, 1, 77, 98, 1, 76, 98, 1, 76,
960  97, 1, 76, 97, 1, 75, 97, 1, 75, 96, 1, 75, 96, 1, 74, 96, 1, 74, 95, 1, 74, 95, 1, 73, 95, 1, 73, 94,
961  1, 73, 94, 1, 72, 94, 1, 72, 93, 1, 71, 93, 1, 71, 93, 1, 71, 92, 1, 70, 92, 1, 70, 92, 1, 70, 91, 1,
962  69, 91, 1, 69, 91, 1, 69, 90, 1, 68, 90, 1, 68, 90, 1, 68, 89, 1, 67, 89, 1, 67, 89, 1, 67, 88, 1, 66,
963  88, 1, 66, 88, 1, 66, 87, 1, 65, 87, 1, 65, 87, 1, 65, 86, 1, 64, 86, 1, 64, 86, 1, 64, 85, 1, 63, 85,
964  1, 63, 85, 1, 63, 84, 1, 62, 84, 1, 62, 84, 1, 62, 83, 1, 61, 83, 1, 61, 83, 1, 61, 82, 1, 60, 82, 1,
965  60, 82, 1, 60, 81, 1, 59, 81, 1, 59, 81, 1, 59, 80, 1, 58, 80, 1, 58, 80, 1, 58, 79, 1, 57, 79, 1, 57,
966  79, 1, 57, 78, 1, 56, 78, 1, 56, 78, 1, 56, 77, 1, 55, 77, 1, 55, 77, 1, 55, 76, 1, 54, 76, 1, 54, 76,
967  1, 54, 75, 1, 53, 75, 1, 53, 74, 1, 53, 74, 1, 52, 74, 1, 52, 73, 1, 52, 73, 1, 51, 73, 1, 51, 72, 1,
968  51, 72, 1, 51, 72, 1, 51, 71, 1, 51, 71, 1, 51, 71, 1, 51, 70, 1, 51, 70, 1, 52, 69, 1, 53, 69, 1, 54,
969  68, 1, 55, 67, 1, 57, 65, 56, 26, 160, 1, 55, 70, 1, 50, 74, 1, 46, 78, 1, 44, 81, 1, 42, 83, 1, 40,
970  85, 1, 38, 87, 1, 37, 88, 1, 35, 89, 1, 34, 91, 1, 33, 92, 1, 31, 93, 1, 31, 94, 1, 30, 95, 1, 29, 96,
971  1, 28, 96, 1, 27, 97, 1, 26, 98, 1, 26, 99, 1, 25, 99, 2, 25, 58, 66, 100, 2, 24, 53, 71, 100, 2, 23,
972  51, 73, 101, 2, 23, 49, 75, 102, 2, 22, 47, 77, 102, 2, 22, 46, 78, 102, 2, 22, 45, 79, 103, 2, 22, 44,
973  80, 103, 2, 21, 43, 81, 103, 2, 21, 43, 81, 104, 2, 21, 42, 82, 104, 2, 21, 42, 82, 104, 2, 20, 41, 83,
974  104, 2, 20, 41, 83, 104, 2, 20, 41, 83, 104, 2, 20, 40, 84, 104, 2, 20, 40, 84, 104, 2, 20, 40, 84, 105,
975  2, 20, 40, 84, 105, 2, 20, 40, 84, 104, 2, 20, 40, 84, 104, 2, 20, 41, 83, 104, 2, 20, 41, 83, 104, 2,
976  20, 41, 83, 104, 2, 21, 41, 83, 104, 2, 21, 42, 82, 104, 2, 21, 42, 82, 104, 2, 21, 43, 81, 103, 2, 22,
977  44, 80, 103, 2, 22, 44, 80, 103, 2, 22, 45, 79, 102, 2, 23, 46, 78, 102, 2, 23, 48, 76, 101, 2, 24, 49,
978  75, 101, 2, 24, 51, 73, 100, 2, 25, 54, 70, 100, 2, 25, 61, 63, 99, 1, 26, 99, 1, 27, 98, 1, 27, 97,
979  1, 28, 96, 1, 29, 96, 1, 30, 95, 1, 31, 94, 1, 32, 93, 1, 33, 92, 1, 34, 91, 1, 32, 92, 1, 31, 93, 1,
980  30, 94, 1, 29, 95, 1, 28, 96, 1, 27, 97, 1, 26, 98, 1, 26, 99, 1, 25, 100, 1, 24, 100, 2, 23, 57, 67,
981  101, 2, 23, 53, 71, 102, 2, 22, 51, 73, 102, 2, 22, 49, 75, 103, 2, 21, 48, 77, 103, 2, 21, 46, 78, 104,
982  2, 20, 45, 79, 104, 2, 20, 44, 80, 104, 2, 20, 43, 81, 105, 2, 19, 43, 82, 105, 2, 19, 42, 83, 105, 2,
983  19, 41, 83, 106, 2, 19, 41, 84, 106, 2, 19, 40, 84, 106, 2, 18, 40, 85, 106, 2, 18, 39, 85, 106, 2, 18,
984  39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38,
985  86, 106, 2, 18, 38, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 85, 106, 2, 19, 40, 85,
986  106, 2, 19, 40, 84, 106, 2, 19, 41, 84, 105, 2, 19, 41, 83, 105, 2, 20, 42, 82, 105, 2, 20, 43, 81, 105,
987  2, 20, 45, 80, 104, 2, 21, 46, 78, 104, 2, 21, 48, 76, 104, 2, 21, 51, 74, 103, 2, 22, 56, 69, 103, 1,
988  22, 102, 1, 23, 102, 1, 24, 101, 1, 24, 100, 1, 25, 100, 1, 26, 99, 1, 27, 98, 1, 28, 97, 1, 28, 96,
989  1, 29, 95, 1, 31, 94, 1, 32, 92, 1, 33, 91, 1, 35, 89, 1, 37, 87, 1, 39, 85, 1, 42, 83, 1, 44, 80, 1,
990  48, 76, 1, 53, 71, 57, 26, 160, 1, 56, 71, 1, 52, 75, 1, 49, 78, 1, 46, 80, 1, 44, 83, 1, 43, 84, 1,
991  41, 86, 1, 40, 87, 1, 38, 89, 1, 37, 90, 1, 36, 91, 1, 35, 92, 1, 34, 93, 1, 34, 94, 1, 33, 95, 1, 32,
992  96, 1, 31, 97, 1, 31, 97, 1, 30, 98, 1, 29, 99, 2, 29, 61, 66, 99, 2, 28, 57, 71, 100, 2, 28, 55, 73,
993  101, 2, 27, 53, 75, 101, 2, 27, 51, 76, 102, 2, 26, 50, 77, 102, 2, 26, 49, 78, 103, 2, 26, 48, 79, 103,
994  2, 25, 48, 80, 104, 2, 25, 47, 81, 104, 2, 25, 46, 82, 104, 2, 24, 46, 82, 105, 2, 24, 45, 83, 105, 2,
995  24, 45, 83, 105, 2, 24, 44, 84, 106, 2, 23, 44, 84, 106, 2, 23, 44, 85, 106, 2, 23, 44, 85, 107, 2, 23,
996  43, 86, 107, 2, 23, 43, 86, 107, 2, 23, 43, 86, 107, 2, 23, 43, 86, 108, 2, 23, 43, 87, 108, 2, 23, 43,
997  87, 108, 2, 23, 43, 87, 108, 2, 23, 43, 88, 109, 2, 23, 43, 88, 109, 2, 23, 43, 87, 109, 2, 23, 43, 87,
998  109, 2, 23, 43, 86, 109, 2, 23, 43, 86, 110, 2, 23, 44, 85, 110, 2, 23, 44, 84, 110, 2, 23, 44, 84, 110,
999  2, 23, 44, 83, 110, 2, 24, 45, 83, 110, 2, 24, 45, 82, 110, 2, 24, 46, 81, 110, 2, 24, 46, 80, 111, 2,
1000  25, 47, 80, 111, 2, 25, 47, 79, 111, 2, 25, 48, 78, 111, 2, 26, 49, 77, 111, 2, 26, 50, 76, 111, 2, 27,
1001  51, 75, 111, 2, 27, 52, 74, 111, 2, 27, 53, 73, 111, 2, 28, 55, 71, 111, 2, 29, 57, 69, 111, 2, 29, 61,
1002  64, 111, 1, 30, 111, 1, 30, 111, 1, 31, 111, 1, 32, 111, 1, 33, 111, 1, 34, 111, 1, 34, 111, 1, 35, 111,
1003  1, 36, 111, 2, 37, 89, 90, 110, 2, 38, 88, 90, 110, 2, 40, 86, 90, 110, 2, 41, 85, 89, 110, 2, 42, 83,
1004  89, 110, 2, 44, 82, 89, 110, 2, 46, 80, 88, 109, 2, 48, 78, 88, 109, 2, 50, 76, 87, 109, 2, 53, 73, 87,
1005  109, 2, 57, 68, 86, 108, 1, 86, 108, 1, 85, 108, 1, 85, 107, 1, 84, 107, 1, 83, 107, 1, 82, 106, 1, 82,
1006  106, 1, 81, 105, 1, 80, 105, 1, 79, 104, 1, 78, 104, 1, 77, 103, 1, 76, 103, 1, 75, 102, 1, 73, 101,
1007  1, 72, 101, 1, 70, 100, 1, 69, 99, 1, 67, 98, 1, 65, 98, 1, 63, 97, 2, 28, 37, 60, 96, 2, 27, 40, 57,
1008  95, 2, 26, 43, 52, 94, 1, 25, 93, 1, 24, 92, 1, 24, 91, 1, 23, 90, 1, 23, 89, 1, 23, 87, 1, 23, 86, 1,
1009  23, 85, 1, 23, 83, 1, 23, 82, 1, 24, 80, 1, 24, 78, 1, 25, 77, 1, 25, 75, 1, 26, 73, 1, 28, 70, 1, 29,
1010  68, 1, 31, 65, 1, 34, 61, 1, 38, 56, 58, 68, 161, 1, 56, 68, 1, 54, 71, 1, 52, 72, 1, 51, 73, 1, 50,
1011  74, 1, 49, 75, 1, 49, 76, 1, 48, 76, 1, 48, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77,
1012  1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49, 75, 1, 50, 74, 1, 51, 73, 1,
1013  52, 72, 1, 54, 71, 1, 56, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1014  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 57, 67, 1, 55, 70, 1, 53, 72, 1, 51, 73, 1, 50, 74,
1015  1, 50, 75, 1, 49, 76, 1, 48, 76, 1, 48, 77, 1, 48, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 78, 1,
1016  47, 77, 1, 47, 77, 1, 47, 77, 1, 48, 77, 1, 48, 77, 1, 49, 76, 1, 49, 75, 1, 50, 75, 1, 51, 74, 1, 52,
1017  73, 1, 53, 71, 1, 55, 69, 1, 59, 66, 59, 68, 179, 1, 67, 76, 1, 64, 79, 1, 62, 81, 1, 61, 82, 1, 60,
1018  83, 1, 59, 84, 1, 58, 85, 1, 58, 85, 1, 57, 86, 1, 57, 86, 1, 57, 86, 1, 57, 87, 1, 56, 87, 1, 56, 87,
1019  1, 56, 87, 1, 57, 87, 1, 57, 86, 1, 57, 86, 1, 57, 86, 1, 58, 85, 1, 58, 85, 1, 59, 84, 1, 60, 83, 1,
1020  61, 82, 1, 62, 81, 1, 64, 79, 1, 67, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1021  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 55, 81, 1, 55, 80, 1, 54, 80, 1, 54, 79, 1, 54, 78, 1, 54,
1022  78, 1, 53, 77, 1, 53, 76, 1, 53, 76, 1, 52, 75, 1, 52, 75, 1, 52, 74, 1, 51, 73, 1, 51, 73, 1, 51, 72,
1023  1, 50, 71, 1, 50, 71, 1, 50, 70, 1, 49, 70, 1, 49, 69, 1, 49, 68, 1, 49, 68, 1, 48, 67, 1, 48, 67, 1,
1024  48, 66, 1, 47, 65, 1, 47, 65, 1, 47, 64, 1, 46, 63, 1, 46, 63, 1, 46, 62, 1, 45, 62, 1, 45, 61, 1, 45,
1025  60, 1, 44, 60, 1, 44, 59, 1, 44, 59, 1, 44, 58, 1, 43, 57, 1, 43, 57, 1, 43, 56, 1, 42, 55, 1, 42, 55,
1026  1, 42, 54, 1, 41, 54, 1, 41, 53, 1, 41, 52, 1, 42, 52, 1, 42, 51, 1, 43, 50, 1, 46, 48, 60, 42, 157,
1027  1, 103, 107, 1, 100, 109, 1, 98, 111, 1, 96, 112, 1, 94, 113, 1, 92, 113, 1, 90, 114, 1, 89, 114, 1,
1028  87, 115, 1, 85, 115, 1, 83, 115, 1, 81, 115, 1, 80, 115, 1, 78, 114, 1, 76, 114, 1, 74, 113, 1, 72, 113,
1029  1, 71, 112, 1, 69, 111, 1, 67, 109, 1, 65, 107, 1, 63, 106, 1, 62, 104, 1, 60, 102, 1, 58, 100, 1, 56,
1030  99, 1, 54, 97, 1, 53, 95, 1, 51, 93, 1, 49, 91, 1, 47, 90, 1, 45, 88, 1, 44, 86, 1, 42, 84, 1, 40, 82,
1031  1, 38, 80, 1, 36, 79, 1, 35, 77, 1, 33, 75, 1, 31, 73, 1, 29, 71, 1, 27, 70, 1, 26, 68, 1, 24, 66, 1,
1032  22, 64, 1, 20, 62, 1, 18, 61, 1, 17, 59, 1, 15, 57, 1, 13, 55, 1, 11, 53, 1, 9, 52, 1, 8, 50, 1, 6, 48,
1033  1, 4, 46, 1, 2, 44, 1, 0, 43, 1, 0, 41, 1, 1, 43, 1, 2, 45, 1, 4, 46, 1, 6, 48, 1, 8, 50, 1, 10, 52,
1034  1, 11, 54, 1, 13, 55, 1, 15, 57, 1, 17, 59, 1, 19, 61, 1, 20, 63, 1, 22, 64, 1, 24, 66, 1, 26, 68, 1,
1035  28, 70, 1, 29, 72, 1, 31, 73, 1, 33, 75, 1, 35, 77, 1, 37, 79, 1, 38, 81, 1, 40, 82, 1, 42, 84, 1, 44,
1036  86, 1, 46, 88, 1, 47, 90, 1, 49, 91, 1, 51, 93, 1, 53, 95, 1, 55, 97, 1, 56, 99, 1, 58, 100, 1, 60, 102,
1037  1, 62, 104, 1, 64, 106, 1, 65, 108, 1, 67, 109, 1, 69, 111, 1, 71, 112, 1, 73, 113, 1, 74, 113, 1, 76,
1038  114, 1, 78, 114, 1, 80, 115, 1, 82, 115, 1, 83, 115, 1, 85, 115, 1, 87, 115, 1, 89, 114, 1, 90, 114,
1039  1, 92, 113, 1, 94, 113, 1, 96, 112, 1, 98, 111, 1, 100, 109, 1, 103, 107, 61, 70, 129, 1, 15, 109, 1,
1040  11, 113, 1, 9, 115, 1, 8, 116, 1, 7, 117, 1, 7, 118, 1, 6, 118, 1, 6, 119, 1, 5, 119, 1, 5, 119, 1, 5,
1041  119, 1, 5, 119, 1, 5, 119, 1, 6, 119, 1, 6, 118, 1, 7, 118, 1, 7, 117, 1, 8, 116, 1, 10, 115, 1, 12,
1042  113, 1, 18, 107, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 18, 107, 1, 12, 113, 1, 10, 115,
1043  1, 8, 116, 1, 7, 117, 1, 7, 118, 1, 6, 118, 1, 6, 119, 1, 5, 119, 1, 5, 119, 1, 5, 119, 1, 5, 119, 1,
1044  5, 119, 1, 6, 119, 1, 6, 118, 1, 7, 118, 1, 7, 117, 1, 8, 116, 1, 9, 115, 1, 11, 113, 1, 15, 109, 62,
1045  42, 157, 1, 17, 21, 1, 15, 24, 1, 14, 27, 1, 12, 29, 1, 12, 30, 1, 11, 32, 1, 10, 34, 1, 10, 36, 1, 10,
1046  38, 1, 10, 39, 1, 10, 41, 1, 10, 43, 1, 10, 45, 1, 10, 47, 1, 10, 48, 1, 11, 50, 1, 12, 52, 1, 13, 54,
1047  1, 14, 56, 1, 15, 57, 1, 17, 59, 1, 19, 61, 1, 20, 63, 1, 22, 65, 1, 24, 66, 1, 26, 68, 1, 28, 70, 1,
1048  29, 72, 1, 31, 74, 1, 33, 75, 1, 35, 77, 1, 37, 79, 1, 38, 81, 1, 40, 83, 1, 42, 84, 1, 44, 86, 1, 46,
1049  88, 1, 47, 90, 1, 49, 92, 1, 51, 93, 1, 53, 95, 1, 55, 97, 1, 57, 99, 1, 58, 101, 1, 60, 102, 1, 62,
1050  104, 1, 64, 106, 1, 66, 108, 1, 67, 110, 1, 69, 111, 1, 71, 113, 1, 73, 115, 1, 75, 117, 1, 76, 119,
1051  1, 78, 120, 1, 80, 122, 1, 82, 124, 1, 83, 126, 1, 82, 124, 1, 80, 122, 1, 78, 120, 1, 76, 118, 1, 74,
1052  117, 1, 73, 115, 1, 71, 113, 1, 69, 111, 1, 67, 109, 1, 65, 108, 1, 64, 106, 1, 62, 104, 1, 60, 102,
1053  1, 58, 100, 1, 56, 99, 1, 55, 97, 1, 53, 95, 1, 51, 93, 1, 49, 91, 1, 47, 90, 1, 46, 88, 1, 44, 86, 1,
1054  42, 84, 1, 40, 82, 1, 38, 81, 1, 37, 79, 1, 35, 77, 1, 33, 75, 1, 31, 73, 1, 29, 72, 1, 28, 70, 1, 26,
1055  68, 1, 24, 66, 1, 22, 64, 1, 20, 63, 1, 18, 61, 1, 17, 59, 1, 15, 57, 1, 14, 55, 1, 12, 54, 1, 12, 52,
1056  1, 11, 50, 1, 10, 48, 1, 10, 46, 1, 10, 45, 1, 10, 43, 1, 10, 41, 1, 10, 39, 1, 10, 37, 1, 10, 36, 1,
1057  10, 34, 1, 11, 32, 1, 12, 30, 1, 12, 28, 1, 14, 27, 1, 15, 24, 1, 17, 21, 63, 34, 160, 1, 60, 67, 1,
1058  52, 75, 1, 47, 79, 1, 43, 82, 1, 40, 84, 1, 38, 86, 1, 35, 88, 1, 33, 90, 1, 30, 91, 1, 28, 92, 1, 26,
1059  94, 1, 24, 95, 1, 22, 96, 1, 22, 97, 1, 22, 98, 1, 22, 98, 1, 22, 99, 1, 22, 100, 1, 22, 101, 1, 22,
1060  101, 1, 22, 102, 2, 22, 55, 72, 102, 2, 22, 51, 75, 103, 2, 22, 47, 77, 103, 2, 22, 45, 79, 104, 2, 22,
1061  43, 80, 104, 2, 22, 42, 81, 104, 2, 22, 42, 82, 105, 2, 22, 42, 83, 105, 2, 22, 42, 83, 105, 2, 22, 42,
1062  84, 105, 2, 22, 42, 85, 106, 2, 22, 42, 85, 106, 2, 23, 42, 85, 106, 2, 23, 42, 86, 106, 2, 23, 41, 86,
1063  106, 2, 23, 41, 86, 106, 2, 24, 41, 86, 106, 2, 24, 40, 86, 106, 2, 25, 39, 86, 106, 2, 27, 38, 86, 106,
1064  2, 29, 36, 85, 106, 1, 85, 106, 1, 85, 106, 1, 84, 106, 1, 84, 106, 1, 83, 106, 1, 82, 105, 1, 81, 105,
1065  1, 80, 105, 1, 78, 104, 1, 77, 104, 1, 75, 104, 1, 73, 103, 1, 71, 103, 1, 69, 102, 1, 67, 101, 1, 65,
1066  101, 1, 62, 100, 1, 60, 99, 1, 57, 98, 1, 55, 97, 1, 52, 96, 1, 52, 95, 1, 52, 94, 1, 52, 92, 1, 52,
1067  91, 1, 52, 90, 1, 52, 88, 1, 52, 86, 1, 52, 84, 1, 52, 83, 1, 52, 81, 1, 52, 79, 1, 52, 77, 1, 52, 74,
1068  1, 52, 72, 1, 52, 72, 1, 53, 72, 1, 53, 72, 1, 53, 72, 1, 53, 71, 1, 54, 71, 1, 54, 70, 1, 55, 69, 1,
1069  56, 68, 1, 58, 67, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 58, 67, 1, 54, 71, 1, 52,
1070  73, 1, 51, 74, 1, 50, 75, 1, 49, 75, 1, 49, 76, 1, 48, 76, 1, 48, 77, 1, 48, 77, 1, 48, 77, 1, 48, 77,
1071  1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49, 75, 1, 50, 75, 1, 51, 74, 1, 52, 73, 1, 53, 71, 1, 56, 68, 64,
1072  26, 174, 1, 56, 68, 1, 51, 73, 1, 48, 76, 1, 46, 79, 1, 44, 80, 1, 42, 82, 1, 41, 83, 1, 39, 85, 1, 38,
1073  86, 1, 37, 87, 1, 36, 88, 1, 35, 89, 1, 34, 90, 1, 33, 90, 1, 33, 91, 2, 32, 58, 68, 92, 2, 31, 55, 71,
1074  92, 2, 30, 52, 73, 93, 2, 30, 51, 74, 93, 2, 29, 49, 76, 94, 2, 29, 48, 77, 94, 2, 28, 47, 78, 95, 2,
1075  27, 46, 78, 95, 2, 27, 45, 79, 95, 2, 26, 44, 80, 96, 2, 26, 43, 80, 96, 2, 25, 43, 81, 96, 2, 25, 42,
1076  81, 97, 2, 24, 41, 82, 97, 2, 24, 41, 82, 97, 2, 24, 40, 82, 97, 2, 23, 40, 82, 97, 2, 23, 39, 82, 98,
1077  2, 23, 39, 83, 98, 2, 22, 39, 83, 98, 2, 22, 38, 83, 98, 2, 22, 38, 83, 98, 2, 21, 37, 83, 98, 2, 21,
1078  37, 83, 98, 2, 21, 37, 83, 98, 2, 21, 37, 83, 98, 2, 21, 36, 83, 98, 2, 20, 36, 83, 98, 2, 20, 36, 78,
1079  98, 2, 20, 36, 73, 98, 2, 20, 35, 69, 98, 2, 20, 35, 67, 98, 2, 20, 35, 65, 98, 2, 20, 35, 63, 98, 2,
1080  20, 35, 61, 98, 2, 19, 35, 60, 98, 2, 19, 34, 59, 98, 2, 19, 34, 57, 98, 2, 19, 34, 56, 98, 2, 19, 34,
1081  55, 98, 2, 19, 34, 54, 98, 2, 19, 34, 54, 98, 2, 19, 34, 53, 98, 3, 19, 34, 52, 80, 83, 98, 3, 19, 34,
1082  51, 76, 83, 98, 3, 19, 34, 51, 73, 83, 98, 3, 19, 34, 50, 71, 83, 98, 3, 19, 34, 50, 69, 83, 98, 3, 19,
1083  34, 49, 68, 83, 98, 3, 19, 34, 49, 67, 83, 98, 3, 19, 34, 48, 66, 83, 98, 3, 19, 34, 48, 65, 83, 98,
1084  3, 19, 34, 48, 64, 83, 98, 3, 19, 34, 47, 63, 83, 98, 3, 19, 34, 47, 63, 83, 98, 3, 19, 34, 47, 62, 83,
1085  98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 61, 83, 98, 3, 19, 34, 46, 61,
1086  83, 98, 3, 19, 34, 46, 61, 83, 98, 3, 19, 34, 46, 61, 83, 98, 3, 19, 34, 47, 61, 83, 98, 3, 19, 34, 47,
1087  62, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 63, 83, 98, 3, 19, 34,
1088  47, 63, 83, 98, 3, 19, 34, 48, 64, 83, 98, 3, 19, 34, 48, 65, 83, 98, 3, 19, 34, 48, 66, 83, 98, 3, 19,
1089  34, 49, 67, 83, 98, 3, 19, 34, 49, 69, 83, 98, 3, 19, 34, 50, 71, 83, 98, 3, 19, 34, 50, 74, 83, 98,
1090  2, 19, 34, 51, 98, 2, 19, 34, 51, 99, 2, 19, 34, 52, 100, 2, 19, 34, 53, 101, 2, 19, 34, 54, 102, 2,
1091  19, 34, 55, 102, 2, 19, 34, 55, 102, 2, 19, 35, 57, 102, 2, 20, 35, 58, 102, 2, 20, 35, 59, 102, 2, 20,
1092  35, 60, 101, 2, 20, 35, 62, 101, 2, 20, 35, 64, 100, 2, 20, 36, 67, 99, 3, 20, 36, 70, 82, 83, 97, 1,
1093  21, 36, 1, 21, 36, 1, 21, 36, 1, 21, 37, 1, 22, 37, 1, 22, 37, 1, 22, 38, 1, 22, 38, 1, 23, 38, 1, 23,
1094  39, 1, 23, 39, 1, 24, 40, 1, 24, 40, 1, 24, 41, 1, 25, 41, 1, 25, 42, 1, 25, 43, 1, 26, 43, 1, 26, 44,
1095  2, 27, 44, 87, 92, 2, 27, 45, 85, 93, 2, 28, 46, 84, 94, 2, 28, 47, 82, 95, 2, 29, 48, 81, 96, 2, 29,
1096  50, 80, 96, 2, 30, 51, 77, 96, 2, 31, 54, 75, 96, 2, 31, 57, 71, 96, 1, 32, 96, 1, 33, 96, 1, 34, 95,
1097  1, 35, 95, 1, 36, 94, 1, 37, 93, 1, 38, 92, 1, 39, 91, 1, 40, 89, 1, 42, 87, 1, 43, 86, 1, 45, 84, 1,
1098  48, 80, 1, 50, 77, 1, 55, 71, 65, 37, 157, 1, 25, 73, 1, 22, 74, 1, 20, 74, 1, 19, 74, 1, 18, 75, 1,
1099  17, 75, 1, 17, 76, 1, 16, 76, 1, 16, 77, 1, 16, 77, 1, 16, 77, 1, 16, 78, 1, 16, 78, 1, 16, 79, 1, 17,
1100  79, 1, 17, 79, 1, 18, 80, 1, 19, 80, 1, 20, 81, 1, 22, 81, 1, 27, 81, 1, 42, 82, 1, 42, 82, 1, 41, 83,
1101  1, 41, 83, 1, 41, 83, 1, 40, 84, 1, 40, 84, 2, 39, 62, 63, 85, 2, 39, 61, 63, 85, 2, 39, 61, 63, 85,
1102  2, 38, 60, 64, 86, 2, 38, 60, 64, 86, 2, 37, 60, 65, 87, 2, 37, 59, 65, 87, 2, 37, 59, 66, 87, 2, 36,
1103  58, 66, 88, 2, 36, 58, 66, 88, 2, 35, 57, 67, 89, 2, 35, 57, 67, 89, 2, 35, 57, 68, 89, 2, 34, 56, 68,
1104  90, 2, 34, 56, 68, 90, 2, 33, 55, 69, 91, 2, 33, 55, 69, 91, 2, 33, 55, 70, 92, 2, 32, 54, 70, 92, 2,
1105  32, 54, 70, 92, 2, 31, 53, 71, 93, 2, 31, 53, 71, 93, 2, 31, 53, 72, 94, 2, 30, 52, 72, 94, 2, 30, 52,
1106  72, 94, 2, 29, 51, 73, 95, 2, 29, 51, 73, 95, 2, 29, 51, 74, 96, 2, 28, 50, 74, 96, 2, 28, 50, 74, 96,
1107  2, 27, 49, 75, 97, 2, 27, 49, 75, 97, 2, 27, 48, 76, 98, 2, 26, 48, 76, 98, 2, 26, 48, 76, 98, 2, 25,
1108  47, 77, 99, 2, 25, 47, 77, 99, 2, 25, 46, 78, 100, 2, 24, 46, 78, 100, 1, 24, 100, 1, 23, 101, 1, 23,
1109  101, 1, 23, 102, 1, 22, 102, 1, 22, 102, 1, 21, 103, 1, 21, 103, 1, 21, 104, 1, 20, 104, 1, 20, 104,
1110  1, 19, 105, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18, 106, 1, 17, 107, 1, 17, 107, 1, 17, 108, 1, 16,
1111  108, 1, 16, 109, 2, 15, 37, 87, 109, 2, 15, 37, 88, 109, 2, 15, 36, 88, 110, 2, 14, 36, 88, 110, 2, 14,
1112  36, 89, 111, 2, 13, 35, 89, 111, 2, 13, 35, 90, 111, 2, 13, 34, 90, 112, 2, 12, 34, 90, 112, 2, 12, 34,
1113  91, 113, 2, 11, 33, 91, 113, 2, 11, 33, 92, 113, 2, 5, 43, 81, 120, 2, 2, 46, 78, 123, 2, 0, 48, 77,
1114  124, 2, 0, 49, 76, 125, 2, 0, 50, 75, 126, 2, 0, 50, 74, 126, 2, 0, 51, 74, 127, 2, 0, 51, 74, 127, 2,
1115  0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 128, 2, 0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51,
1116  74, 127, 2, 0, 50, 74, 127, 2, 0, 50, 75, 126, 2, 0, 49, 75, 125, 2, 0, 48, 76, 124, 2, 1, 47, 78, 123,
1117  2, 4, 44, 80, 120, 66, 37, 157, 1, 13, 73, 1, 10, 80, 1, 8, 84, 1, 7, 86, 1, 6, 89, 1, 5, 91, 1, 5, 92,
1118  1, 4, 94, 1, 4, 95, 1, 4, 97, 1, 4, 98, 1, 4, 99, 1, 4, 100, 1, 4, 101, 1, 5, 101, 1, 5, 102, 1, 6, 103,
1119  1, 7, 104, 1, 8, 104, 1, 10, 105, 1, 15, 105, 2, 21, 41, 76, 106, 2, 21, 41, 79, 106, 2, 21, 41, 82,
1120  107, 2, 21, 41, 83, 107, 2, 21, 41, 84, 107, 2, 21, 41, 85, 108, 2, 21, 41, 86, 108, 2, 21, 41, 87, 108,
1121  2, 21, 41, 87, 108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2,
1122  21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 108, 2, 21, 41, 88, 108, 2, 21,
1123  41, 87, 108, 2, 21, 41, 86, 108, 2, 21, 41, 86, 108, 2, 21, 41, 85, 108, 2, 21, 41, 84, 107, 2, 21, 41,
1124  82, 107, 2, 21, 41, 81, 107, 2, 21, 41, 79, 106, 2, 21, 41, 77, 106, 2, 21, 41, 74, 105, 2, 21, 41, 70,
1125  105, 1, 21, 104, 1, 21, 104, 1, 21, 103, 1, 21, 102, 1, 21, 101, 1, 21, 100, 1, 21, 99, 1, 21, 99, 1,
1126  21, 100, 1, 21, 101, 1, 21, 103, 1, 21, 104, 1, 21, 105, 1, 21, 106, 1, 21, 107, 1, 21, 108, 1, 21, 109,
1127  1, 21, 110, 1, 21, 111, 1, 21, 112, 2, 21, 41, 70, 112, 2, 21, 41, 78, 113, 2, 21, 41, 82, 113, 2, 21,
1128  41, 85, 114, 2, 21, 41, 87, 115, 2, 21, 41, 88, 115, 2, 21, 41, 90, 115, 2, 21, 41, 91, 116, 2, 21, 41,
1129  92, 116, 2, 21, 41, 93, 116, 2, 21, 41, 94, 117, 2, 21, 41, 95, 117, 2, 21, 41, 95, 117, 2, 21, 41, 96,
1130  117, 2, 21, 41, 96, 117, 2, 21, 41, 97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 97, 118,
1131  2, 21, 41, 97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 96, 117, 2, 21, 41, 96, 117, 2,
1132  21, 41, 95, 117, 2, 21, 41, 94, 117, 2, 21, 41, 93, 117, 2, 21, 41, 91, 116, 2, 21, 41, 88, 116, 2, 21,
1133  41, 83, 116, 1, 12, 115, 1, 9, 115, 1, 8, 114, 1, 6, 114, 1, 6, 113, 1, 5, 112, 1, 5, 112, 1, 4, 111,
1134  1, 4, 110, 1, 4, 109, 1, 4, 108, 1, 4, 107, 1, 4, 105, 1, 5, 104, 1, 5, 102, 1, 5, 100, 1, 6, 98, 1,
1135  7, 96, 1, 9, 92, 1, 11, 88, 67, 34, 160, 1, 59, 67, 1, 52, 76, 1, 48, 80, 2, 45, 83, 101, 105, 2, 42,
1136  86, 98, 108, 2, 40, 88, 97, 109, 2, 38, 90, 96, 110, 2, 36, 92, 95, 111, 1, 34, 111, 1, 33, 112, 1, 31,
1137  112, 1, 30, 112, 1, 28, 113, 1, 27, 113, 1, 26, 113, 1, 25, 113, 1, 24, 113, 1, 23, 113, 1, 22, 113,
1138  1, 21, 113, 1, 21, 113, 2, 20, 56, 72, 113, 2, 19, 52, 76, 113, 2, 18, 49, 79, 113, 2, 18, 47, 82, 113,
1139  2, 17, 46, 84, 113, 2, 16, 44, 85, 113, 2, 16, 43, 87, 113, 2, 15, 41, 88, 113, 2, 15, 40, 89, 113, 2,
1140  14, 39, 90, 113, 2, 14, 38, 91, 113, 2, 13, 37, 91, 113, 2, 13, 37, 92, 113, 2, 12, 36, 92, 113, 2, 12,
1141  35, 92, 113, 2, 12, 34, 93, 113, 2, 11, 34, 93, 113, 2, 11, 33, 93, 112, 2, 11, 33, 93, 112, 2, 10, 32,
1142  94, 112, 2, 10, 31, 94, 112, 2, 10, 31, 94, 111, 2, 9, 31, 95, 111, 2, 9, 30, 96, 110, 2, 9, 30, 97,
1143  109, 2, 9, 30, 98, 107, 2, 9, 29, 102, 104, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 28, 1, 8, 28, 1, 8, 28,
1144  1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1,
1145  8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8,
1146  28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 9, 29, 1, 9, 30, 1, 9, 30, 1, 9, 30,
1147  1, 9, 31, 1, 10, 31, 1, 10, 32, 1, 10, 32, 1, 11, 33, 1, 11, 34, 2, 12, 34, 103, 109, 2, 12, 35, 101,
1148  111, 2, 12, 36, 99, 113, 2, 13, 37, 98, 114, 2, 13, 38, 97, 114, 2, 14, 39, 96, 115, 2, 14, 40, 95, 115,
1149  2, 15, 42, 94, 116, 2, 16, 43, 93, 116, 2, 16, 45, 91, 116, 2, 17, 47, 90, 116, 2, 18, 49, 88, 116, 2,
1150  18, 51, 85, 116, 2, 19, 56, 82, 115, 2, 20, 62, 76, 115, 1, 21, 114, 1, 22, 114, 1, 22, 113, 1, 23, 112,
1151  1, 24, 111, 1, 25, 110, 1, 27, 109, 1, 28, 108, 1, 29, 107, 1, 30, 106, 1, 32, 104, 1, 34, 103, 1, 35,
1152  101, 1, 37, 99, 1, 40, 97, 1, 42, 95, 1, 45, 92, 1, 48, 89, 1, 52, 84, 1, 58, 79, 68, 37, 157, 1, 14,
1153  64, 1, 10, 71, 1, 8, 75, 1, 7, 78, 1, 6, 81, 1, 5, 83, 1, 5, 85, 1, 5, 87, 1, 4, 89, 1, 4, 90, 1, 4,
1154  92, 1, 4, 93, 1, 4, 94, 1, 5, 95, 1, 5, 96, 1, 6, 97, 1, 6, 98, 1, 7, 98, 1, 8, 99, 1, 10, 100, 1, 15,
1155  101, 2, 17, 37, 67, 101, 2, 17, 37, 71, 102, 2, 17, 37, 74, 103, 2, 17, 37, 76, 103, 2, 17, 37, 77, 104,
1156  2, 17, 37, 79, 105, 2, 17, 37, 80, 105, 2, 17, 37, 81, 106, 2, 17, 37, 82, 106, 2, 17, 37, 83, 107, 2,
1157  17, 37, 84, 107, 2, 17, 37, 84, 108, 2, 17, 37, 85, 108, 2, 17, 37, 86, 109, 2, 17, 37, 87, 109, 2, 17,
1158  37, 87, 110, 2, 17, 37, 88, 110, 2, 17, 37, 88, 110, 2, 17, 37, 89, 111, 2, 17, 37, 89, 111, 2, 17, 37,
1159  90, 111, 2, 17, 37, 90, 112, 2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17, 37, 92,
1160  112, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 93, 113,
1161  2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2,
1162  17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17,
1163  37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37,
1164  93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93,
1165  113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 112,
1166  2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17, 37, 90, 112, 2, 17, 37, 90, 111, 2,
1167  17, 37, 90, 111, 2, 17, 37, 89, 111, 2, 17, 37, 88, 111, 2, 17, 37, 88, 110, 2, 17, 37, 87, 110, 2, 17,
1168  37, 86, 109, 2, 17, 37, 85, 109, 2, 17, 37, 85, 109, 2, 17, 37, 84, 108, 2, 17, 37, 82, 108, 2, 17, 37,
1169  81, 107, 2, 17, 37, 80, 107, 2, 17, 37, 78, 106, 2, 17, 37, 77, 105, 2, 17, 37, 74, 105, 2, 17, 37, 71,
1170  104, 2, 17, 37, 66, 104, 1, 12, 103, 1, 9, 102, 1, 8, 101, 1, 7, 100, 1, 6, 99, 1, 5, 98, 1, 5, 97, 1,
1171  4, 96, 1, 4, 95, 1, 4, 94, 1, 4, 92, 1, 4, 91, 1, 4, 89, 1, 5, 88, 1, 5, 86, 1, 6, 84, 1, 6, 82, 1, 7,
1172  79, 1, 9, 75, 1, 11, 69, 69, 37, 157, 1, 14, 109, 1, 10, 109, 1, 8, 109, 1, 7, 109, 1, 6, 109, 1, 5,
1173  109, 1, 5, 109, 1, 5, 109, 1, 4, 109, 1, 4, 109, 1, 4, 109, 1, 4, 109, 1, 4, 109, 1, 5, 109, 1, 5, 109,
1174  1, 6, 109, 1, 6, 109, 1, 7, 109, 1, 8, 109, 1, 10, 109, 1, 16, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89,
1175  109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109,
1176  2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2,
1177  21, 41, 89, 109, 2, 21, 41, 89, 109, 3, 21, 41, 66, 73, 89, 108, 3, 21, 41, 64, 75, 89, 108, 3, 21, 41,
1178  62, 76, 89, 108, 3, 21, 41, 62, 77, 90, 108, 3, 21, 41, 61, 78, 90, 107, 3, 21, 41, 60, 78, 91, 107,
1179  3, 21, 41, 60, 78, 91, 106, 3, 21, 41, 60, 79, 92, 105, 3, 21, 41, 59, 79, 94, 104, 3, 21, 41, 59, 79,
1180  97, 100, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79,
1181  1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1,
1182  21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21,
1183  79, 1, 21, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41,
1184  59, 79, 3, 21, 41, 59, 79, 102, 104, 3, 21, 41, 59, 79, 99, 108, 3, 21, 41, 60, 79, 97, 109, 3, 21, 41,
1185  60, 79, 96, 110, 3, 21, 41, 60, 78, 95, 111, 3, 21, 41, 61, 78, 95, 112, 3, 21, 41, 61, 77, 94, 112,
1186  3, 21, 41, 62, 76, 94, 113, 3, 21, 41, 63, 75, 94, 113, 3, 21, 41, 65, 73, 93, 113, 2, 21, 41, 93, 113,
1187  2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2,
1188  21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21,
1189  41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 1, 13, 113, 1, 9, 113, 1, 8,
1190  113, 1, 7, 113, 1, 6, 113, 1, 5, 113, 1, 5, 113, 1, 5, 113, 1, 4, 113, 1, 4, 113, 1, 4, 113, 1, 4, 113,
1191  1, 5, 113, 1, 5, 113, 1, 5, 113, 1, 6, 113, 1, 7, 113, 1, 7, 113, 1, 9, 113, 1, 11, 113, 70, 37, 157,
1192  1, 21, 120, 1, 17, 120, 1, 15, 120, 1, 14, 120, 1, 13, 120, 1, 12, 120, 1, 12, 120, 1, 12, 120, 1, 11,
1193  120, 1, 11, 120, 1, 11, 120, 1, 11, 120, 1, 11, 120, 1, 12, 120, 1, 12, 120, 1, 13, 120, 1, 13, 120,
1194  1, 14, 120, 1, 15, 120, 1, 17, 120, 1, 22, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48,
1195  100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28,
1196  48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2,
1197  28, 48, 100, 120, 2, 28, 48, 100, 120, 3, 28, 48, 73, 79, 100, 120, 3, 28, 48, 71, 82, 100, 120, 3, 28,
1198  48, 69, 83, 101, 120, 3, 28, 48, 69, 84, 101, 119, 3, 28, 48, 68, 84, 101, 119, 3, 28, 48, 67, 85, 102,
1199  118, 3, 28, 48, 67, 85, 103, 117, 3, 28, 48, 67, 86, 104, 116, 3, 28, 48, 66, 86, 105, 115, 3, 28, 48,
1200  66, 86, 108, 112, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28,
1201  48, 66, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1,
1202  28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28,
1203  86, 1, 28, 86, 1, 28, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86,
1204  2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 67, 86, 2, 28, 48, 67, 85, 2, 28,
1205  48, 67, 85, 2, 28, 48, 67, 85, 2, 28, 48, 68, 84, 2, 28, 48, 69, 83, 2, 28, 48, 70, 82, 2, 28, 48, 72,
1206  80, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48,
1207  1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 19, 74, 1, 16, 77, 1, 15, 79, 1,
1208  14, 80, 1, 13, 81, 1, 12, 81, 1, 12, 82, 1, 12, 82, 1, 11, 82, 1, 11, 82, 1, 11, 82, 1, 11, 82, 1, 11,
1209  82, 1, 12, 82, 1, 12, 82, 1, 13, 81, 1, 13, 80, 1, 14, 79, 1, 16, 78, 1, 18, 75, 71, 34, 160, 1, 60,
1210  70, 1, 53, 78, 1, 49, 83, 2, 45, 86, 102, 105, 2, 43, 89, 99, 108, 2, 40, 92, 97, 109, 2, 38, 94, 96,
1211  111, 1, 36, 111, 1, 35, 112, 1, 33, 112, 1, 32, 112, 1, 30, 113, 1, 29, 113, 1, 28, 113, 1, 27, 113,
1212  1, 26, 113, 1, 25, 113, 1, 24, 113, 1, 23, 113, 1, 22, 113, 1, 21, 113, 2, 20, 56, 76, 113, 2, 20, 52,
1213  80, 113, 2, 19, 49, 83, 113, 2, 18, 47, 86, 113, 2, 17, 45, 88, 113, 2, 17, 44, 89, 113, 2, 16, 42, 90,
1214  113, 2, 16, 41, 91, 113, 2, 15, 40, 92, 113, 2, 14, 39, 92, 113, 2, 14, 38, 93, 113, 2, 13, 37, 93, 113,
1215  2, 13, 37, 93, 113, 2, 12, 36, 94, 113, 2, 12, 35, 94, 113, 2, 12, 34, 94, 112, 2, 11, 34, 95, 112, 2,
1216  11, 33, 95, 112, 2, 11, 33, 95, 111, 2, 10, 32, 96, 110, 2, 10, 32, 97, 109, 2, 10, 31, 99, 107, 1, 9,
1217  31, 1, 9, 30, 1, 9, 30, 1, 9, 30, 1, 9, 29, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 28, 1, 8, 28,
1218  1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1,
1219  8, 28, 1, 8, 28, 2, 8, 28, 66, 114, 2, 8, 28, 63, 117, 2, 8, 28, 62, 119, 2, 8, 28, 61, 119, 2, 8, 28,
1220  60, 120, 2, 8, 28, 60, 121, 2, 8, 28, 59, 121, 2, 8, 28, 59, 122, 2, 8, 28, 59, 122, 2, 8, 28, 59, 122,
1221  2, 8, 28, 59, 122, 2, 8, 28, 59, 122, 2, 8, 28, 59, 121, 2, 8, 28, 59, 121, 2, 8, 29, 60, 121, 2, 8,
1222  29, 60, 120, 2, 9, 29, 61, 119, 2, 9, 29, 62, 118, 2, 9, 30, 64, 117, 2, 9, 30, 66, 115, 2, 9, 30, 93,
1223  113, 2, 10, 31, 93, 113, 2, 10, 31, 93, 113, 2, 10, 32, 93, 113, 2, 10, 32, 93, 113, 2, 11, 33, 93, 113,
1224  2, 11, 33, 93, 113, 2, 12, 34, 93, 113, 2, 12, 35, 93, 113, 2, 12, 36, 93, 113, 2, 13, 37, 93, 113, 2,
1225  13, 37, 93, 113, 2, 14, 39, 93, 113, 2, 14, 40, 93, 113, 2, 15, 42, 93, 113, 2, 15, 44, 91, 113, 2, 16,
1226  46, 88, 113, 2, 17, 49, 85, 113, 2, 17, 53, 81, 113, 2, 18, 59, 75, 113, 1, 19, 113, 1, 19, 113, 1, 20,
1227  113, 1, 21, 113, 1, 22, 113, 1, 23, 113, 1, 24, 113, 1, 25, 113, 1, 26, 111, 1, 28, 109, 1, 29, 107,
1228  1, 31, 105, 1, 33, 103, 1, 35, 101, 1, 37, 98, 1, 40, 96, 1, 43, 93, 1, 47, 90, 1, 51, 85, 1, 58, 80,
1229  72, 37, 157, 2, 19, 47, 77, 105, 2, 16, 52, 73, 109, 2, 14, 54, 72, 111, 2, 13, 55, 70, 113, 2, 12, 56,
1230  69, 114, 2, 11, 56, 69, 114, 2, 11, 57, 68, 115, 2, 10, 57, 68, 115, 2, 10, 58, 68, 115, 2, 10, 58, 68,
1231  115, 2, 10, 58, 68, 115, 2, 10, 58, 68, 115, 2, 10, 58, 68, 115, 2, 10, 57, 68, 115, 2, 11, 57, 68, 115,
1232  2, 11, 56, 69, 114, 2, 12, 56, 70, 113, 2, 13, 55, 70, 112, 2, 14, 54, 72, 111, 2, 16, 52, 74, 109, 2,
1233  20, 46, 79, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1234  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1235  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1236  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
1237  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
1238  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 1, 21, 105, 1, 21, 105,
1239  1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21,
1240  105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105,
1241  1, 21, 105, 1, 21, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
1242  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
1243  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1244  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1245  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1246  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 13, 49, 76, 112,
1247  2, 10, 53, 73, 115, 2, 9, 54, 71, 116, 2, 8, 55, 70, 117, 2, 7, 56, 69, 118, 2, 7, 57, 69, 118, 2, 6,
1248  57, 68, 119, 2, 6, 57, 68, 119, 2, 6, 58, 68, 119, 2, 6, 58, 68, 119, 2, 6, 58, 68, 119, 2, 6, 58, 68,
1249  119, 2, 6, 57, 68, 119, 2, 6, 57, 68, 119, 2, 7, 57, 69, 119, 2, 7, 56, 69, 118, 2, 8, 55, 70, 117, 2,
1250  9, 54, 71, 116, 2, 10, 53, 72, 115, 2, 13, 51, 75, 112, 73, 37, 157, 1, 27, 96, 1, 24, 100, 1, 22, 102,
1251  1, 21, 104, 1, 20, 104, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18,
1252  106, 1, 18, 106, 1, 18, 106, 1, 19, 105, 1, 19, 105, 1, 20, 104, 1, 21, 103, 1, 22, 102, 1, 24, 100,
1253  1, 29, 95, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1254  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1255  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1256  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1257  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1258  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1259  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1260  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1261  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 26, 98, 1, 23, 101, 1, 21, 103, 1, 20,
1262  104, 1, 20, 105, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106,
1263  1, 18, 106, 1, 18, 106, 1, 19, 105, 1, 19, 105, 1, 20, 104, 1, 21, 103, 1, 23, 102, 1, 25, 99, 74, 37,
1264  160, 1, 51, 115, 1, 48, 120, 1, 46, 122, 1, 44, 123, 1, 44, 124, 1, 43, 124, 1, 43, 125, 1, 42, 125,
1265  1, 42, 126, 1, 42, 126, 1, 42, 126, 1, 42, 126, 1, 42, 126, 1, 42, 125, 1, 43, 125, 1, 43, 124, 1, 44,
1266  124, 1, 45, 123, 1, 46, 122, 1, 48, 120, 1, 53, 114, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100,
1267  1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80,
1268  100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100,
1269  1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80,
1270  100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100,
1271  1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 2, 19, 26, 80, 100, 2, 17, 28, 80, 100, 2, 16, 29, 80,
1272  100, 2, 15, 30, 80, 100, 2, 14, 31, 80, 100, 2, 13, 31, 80, 100, 2, 13, 31, 80, 100, 2, 13, 32, 80, 100,
1273  2, 13, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2,
1274  12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12,
1275  32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32,
1276  80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 79, 100, 2, 12, 32, 79, 100, 2, 12, 32, 78, 100, 2, 12, 32, 78,
1277  99, 2, 12, 32, 77, 99, 2, 12, 32, 77, 99, 2, 12, 32, 76, 99, 2, 12, 32, 75, 98, 2, 12, 33, 74, 98, 2,
1278  12, 35, 72, 98, 2, 12, 37, 71, 97, 2, 12, 40, 69, 97, 2, 12, 43, 67, 96, 2, 12, 46, 64, 96, 2, 12, 51,
1279  60, 95, 1, 12, 94, 1, 12, 94, 1, 12, 93, 1, 12, 92, 1, 12, 91, 1, 12, 90, 1, 12, 89, 1, 14, 88, 1, 16,
1280  87, 1, 18, 86, 1, 20, 85, 1, 22, 83, 1, 25, 82, 1, 27, 80, 1, 30, 78, 1, 33, 76, 1, 36, 74, 1, 39, 71,
1281  1, 43, 68, 1, 47, 64, 75, 37, 157, 2, 13, 52, 81, 109, 2, 10, 56, 77, 113, 2, 8, 58, 75, 115, 2, 7, 59,
1282  74, 117, 2, 6, 60, 73, 117, 2, 5, 61, 73, 118, 2, 5, 61, 72, 118, 2, 4, 61, 72, 119, 2, 4, 62, 72, 119,
1283  2, 4, 62, 72, 119, 2, 4, 62, 71, 119, 2, 4, 62, 72, 119, 2, 4, 62, 72, 119, 2, 4, 61, 72, 119, 2, 5,
1284  61, 72, 118, 2, 5, 61, 73, 118, 2, 6, 60, 73, 117, 2, 7, 59, 74, 116, 2, 8, 58, 76, 115, 2, 10, 56, 77,
1285  113, 2, 15, 51, 76, 108, 2, 21, 41, 75, 105, 2, 21, 41, 74, 104, 2, 21, 41, 73, 103, 2, 21, 41, 71, 102,
1286  2, 21, 41, 70, 101, 2, 21, 41, 69, 100, 2, 21, 41, 68, 99, 2, 21, 41, 67, 97, 2, 21, 41, 66, 96, 2, 21,
1287  41, 64, 95, 2, 21, 41, 63, 94, 2, 21, 41, 62, 93, 2, 21, 41, 61, 92, 2, 21, 41, 60, 90, 2, 21, 41, 59,
1288  89, 2, 21, 41, 57, 88, 2, 21, 41, 56, 87, 2, 21, 41, 55, 86, 2, 21, 41, 54, 85, 2, 21, 41, 53, 84, 2,
1289  21, 41, 52, 82, 2, 21, 41, 50, 81, 2, 21, 41, 49, 80, 2, 21, 41, 48, 79, 2, 21, 41, 47, 78, 2, 21, 41,
1290  46, 77, 2, 21, 41, 45, 76, 2, 21, 41, 43, 74, 2, 21, 41, 42, 73, 1, 21, 72, 1, 21, 71, 1, 21, 70, 1,
1291  21, 72, 1, 21, 73, 1, 21, 75, 1, 21, 76, 1, 21, 77, 1, 21, 78, 1, 21, 79, 1, 21, 80, 1, 21, 81, 1, 21,
1292  82, 1, 21, 83, 1, 21, 84, 1, 21, 85, 1, 21, 86, 2, 21, 53, 55, 87, 2, 21, 52, 57, 88, 2, 21, 50, 59,
1293  89, 2, 21, 49, 60, 89, 2, 21, 48, 62, 90, 2, 21, 47, 63, 91, 2, 21, 46, 64, 91, 2, 21, 44, 66, 92, 2,
1294  21, 43, 67, 93, 2, 21, 42, 68, 93, 2, 21, 41, 69, 94, 2, 21, 41, 70, 95, 2, 21, 41, 70, 95, 2, 21, 41,
1295  71, 96, 2, 21, 41, 72, 96, 2, 21, 41, 73, 97, 2, 21, 41, 73, 97, 2, 21, 41, 74, 98, 2, 21, 41, 75, 98,
1296  2, 21, 41, 75, 99, 2, 21, 41, 76, 99, 2, 21, 41, 77, 100, 2, 21, 41, 77, 100, 2, 21, 41, 78, 101, 2,
1297  21, 41, 78, 101, 2, 21, 41, 79, 102, 2, 21, 41, 79, 102, 2, 21, 41, 80, 103, 2, 21, 41, 80, 103, 2, 21,
1298  41, 81, 104, 2, 21, 41, 81, 104, 2, 21, 41, 82, 104, 2, 21, 41, 82, 105, 2, 12, 54, 83, 116, 2, 9, 57,
1299  83, 119, 2, 8, 58, 84, 120, 2, 6, 59, 84, 121, 2, 6, 60, 85, 122, 2, 5, 61, 85, 123, 2, 5, 61, 86, 123,
1300  2, 4, 61, 86, 124, 2, 4, 62, 87, 124, 2, 4, 62, 87, 124, 2, 4, 62, 88, 124, 2, 4, 62, 88, 124, 2, 4,
1301  62, 89, 124, 2, 5, 61, 89, 123, 2, 5, 61, 89, 123, 2, 5, 60, 90, 122, 2, 6, 60, 90, 122, 2, 7, 59, 91,
1302  121, 2, 9, 57, 91, 119, 2, 11, 55, 92, 117, 76, 37, 157, 1, 18, 69, 1, 14, 73, 1, 12, 75, 1, 11, 76,
1303  1, 10, 77, 1, 9, 78, 1, 9, 78, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79,
1304  1, 9, 78, 1, 9, 78, 1, 10, 77, 1, 11, 76, 1, 12, 75, 1, 14, 73, 1, 19, 68, 1, 33, 54, 1, 33, 54, 1, 33,
1305  54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54,
1306  1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1,
1307  33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33,
1308  54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54,
1309  1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 2, 33, 54, 105, 110, 2, 33, 54, 103,
1310  112, 2, 33, 54, 101, 114, 2, 33, 54, 100, 115, 2, 33, 54, 99, 116, 2, 33, 54, 99, 116, 2, 33, 54, 98,
1311  117, 2, 33, 54, 98, 117, 2, 33, 54, 98, 117, 2, 33, 54, 98, 117, 2, 33, 54, 98, 117, 2, 33, 54, 97, 117,
1312  2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2,
1313  33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33,
1314  54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54,
1315  97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97,
1316  118, 1, 16, 118, 1, 13, 118, 1, 12, 118, 1, 10, 118, 1, 10, 118, 1, 9, 118, 1, 9, 118, 1, 8, 118, 1,
1317  8, 118, 1, 8, 118, 1, 8, 118, 1, 8, 118, 1, 8, 118, 1, 9, 118, 1, 9, 118, 1, 10, 118, 1, 10, 118, 1,
1318  11, 118, 1, 13, 118, 1, 15, 118, 77, 37, 157, 2, 9, 35, 90, 116, 2, 5, 36, 89, 120, 2, 3, 36, 89, 122,
1319  2, 2, 37, 88, 123, 2, 1, 37, 88, 124, 2, 1, 37, 87, 125, 2, 0, 38, 87, 125, 2, 0, 38, 87, 125, 2, 0,
1320  39, 86, 126, 2, 0, 39, 86, 126, 2, 0, 40, 85, 126, 2, 0, 40, 85, 126, 2, 0, 41, 84, 126, 2, 0, 41, 84,
1321  125, 2, 0, 42, 83, 125, 2, 1, 42, 83, 124, 2, 1, 42, 83, 124, 2, 2, 43, 82, 123, 2, 4, 43, 82, 121, 2,
1322  5, 44, 81, 120, 2, 10, 44, 81, 116, 2, 10, 45, 80, 115, 2, 10, 45, 80, 115, 2, 10, 46, 80, 115, 2, 10,
1323  46, 79, 115, 2, 10, 47, 79, 115, 2, 10, 47, 78, 115, 2, 10, 47, 78, 115, 2, 10, 48, 77, 115, 2, 10, 48,
1324  77, 115, 2, 10, 49, 76, 115, 2, 10, 49, 76, 115, 2, 10, 50, 76, 115, 2, 10, 50, 75, 115, 2, 10, 51, 75,
1325  115, 2, 10, 51, 74, 115, 2, 10, 51, 74, 115, 2, 10, 52, 73, 115, 2, 10, 52, 73, 115, 2, 10, 53, 72, 115,
1326  4, 10, 30, 31, 53, 72, 94, 95, 115, 4, 10, 30, 31, 54, 72, 94, 95, 115, 4, 10, 30, 32, 54, 71, 93, 95,
1327  115, 4, 10, 30, 32, 55, 71, 93, 95, 115, 4, 10, 30, 33, 55, 70, 93, 95, 115, 4, 10, 30, 33, 56, 70, 92,
1328  95, 115, 4, 10, 30, 34, 56, 69, 92, 95, 115, 4, 10, 30, 34, 56, 69, 91, 95, 115, 4, 10, 30, 34, 57, 68,
1329  91, 95, 115, 4, 10, 30, 35, 57, 68, 90, 95, 115, 4, 10, 30, 35, 58, 68, 90, 95, 115, 4, 10, 30, 36, 58,
1330  67, 89, 95, 115, 4, 10, 30, 36, 59, 67, 89, 95, 115, 4, 10, 30, 37, 59, 66, 89, 95, 115, 4, 10, 30, 37,
1331  60, 66, 88, 95, 115, 4, 10, 30, 38, 60, 65, 88, 95, 115, 4, 10, 30, 38, 61, 65, 87, 95, 115, 4, 10, 30,
1332  38, 61, 64, 87, 95, 115, 4, 10, 30, 39, 61, 64, 86, 95, 115, 4, 10, 30, 39, 62, 64, 86, 95, 115, 4, 10,
1333  30, 40, 62, 63, 85, 95, 115, 3, 10, 30, 40, 85, 95, 115, 3, 10, 30, 41, 85, 95, 115, 3, 10, 30, 41, 84,
1334  95, 115, 3, 10, 30, 42, 84, 95, 115, 3, 10, 30, 42, 83, 95, 115, 3, 10, 30, 43, 83, 95, 115, 3, 10, 30,
1335  43, 82, 95, 115, 3, 10, 30, 43, 82, 95, 115, 3, 10, 30, 44, 81, 95, 115, 3, 10, 30, 44, 81, 95, 115,
1336  3, 10, 30, 45, 81, 95, 115, 3, 10, 30, 45, 80, 95, 115, 3, 10, 30, 46, 80, 95, 115, 3, 10, 30, 46, 79,
1337  95, 115, 3, 10, 30, 47, 79, 95, 115, 3, 10, 30, 47, 78, 95, 115, 3, 10, 30, 48, 78, 95, 115, 3, 10, 30,
1338  48, 77, 95, 115, 3, 10, 30, 48, 77, 95, 115, 3, 10, 30, 49, 77, 95, 115, 3, 10, 30, 49, 76, 95, 115,
1339  3, 10, 30, 50, 76, 95, 115, 3, 10, 30, 50, 75, 95, 115, 3, 10, 30, 51, 75, 95, 115, 3, 10, 30, 51, 74,
1340  95, 115, 3, 10, 30, 52, 74, 95, 115, 3, 10, 30, 52, 73, 95, 115, 3, 10, 30, 52, 73, 95, 115, 3, 10, 30,
1341  53, 73, 95, 115, 3, 10, 30, 53, 72, 95, 115, 3, 10, 30, 54, 72, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30,
1342  95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95,
1343  115, 2, 10, 30, 95, 115, 2, 5, 43, 82, 120, 2, 2, 46, 79, 123, 2, 1, 48, 77, 124, 2, 0, 49, 76, 125,
1344  2, 0, 50, 76, 126, 2, 0, 50, 75, 127, 2, 0, 51, 75, 127, 2, 0, 51, 74, 127, 2, 0, 51, 74, 127, 2, 0,
1345  51, 74, 128, 2, 0, 51, 74, 128, 2, 0, 51, 74, 128, 2, 0, 51, 74, 127, 2, 0, 51, 74, 127, 2, 0, 50, 75,
1346  127, 2, 0, 50, 75, 126, 2, 0, 49, 76, 125, 2, 1, 48, 77, 124, 2, 2, 47, 79, 123, 2, 5, 44, 81, 120, 78,
1347  37, 157, 2, 9, 37, 77, 111, 2, 5, 37, 73, 115, 2, 4, 38, 72, 117, 2, 2, 39, 70, 119, 2, 1, 39, 69, 120,
1348  2, 1, 40, 69, 120, 2, 0, 41, 68, 121, 2, 0, 41, 68, 121, 2, 0, 42, 68, 121, 2, 0, 43, 68, 121, 2, 0,
1349  43, 68, 121, 2, 0, 44, 68, 121, 2, 0, 44, 68, 121, 2, 0, 45, 68, 121, 2, 0, 46, 68, 121, 2, 1, 46, 69,
1350  120, 2, 2, 47, 70, 119, 2, 3, 48, 71, 119, 2, 4, 48, 72, 117, 2, 6, 49, 74, 115, 2, 11, 50, 79, 111,
1351  2, 16, 50, 89, 109, 2, 16, 51, 89, 109, 2, 16, 51, 89, 109, 2, 16, 52, 89, 109, 2, 16, 53, 89, 109, 2,
1352  16, 53, 89, 109, 2, 16, 54, 89, 109, 2, 16, 55, 89, 109, 2, 16, 55, 89, 109, 2, 16, 56, 89, 109, 2, 16,
1353  57, 89, 109, 2, 16, 57, 89, 109, 2, 16, 58, 89, 109, 2, 16, 58, 89, 109, 2, 16, 59, 89, 109, 2, 16, 60,
1354  89, 109, 2, 16, 60, 89, 109, 2, 16, 61, 89, 109, 2, 16, 62, 89, 109, 3, 16, 37, 38, 62, 89, 109, 3, 16,
1355  37, 39, 63, 89, 109, 3, 16, 37, 39, 64, 89, 109, 3, 16, 37, 40, 64, 89, 109, 3, 16, 37, 40, 65, 89, 109,
1356  3, 16, 37, 41, 65, 89, 109, 3, 16, 37, 42, 66, 89, 109, 3, 16, 37, 42, 67, 89, 109, 3, 16, 37, 43, 67,
1357  89, 109, 3, 16, 37, 44, 68, 89, 109, 3, 16, 37, 44, 69, 89, 109, 3, 16, 37, 45, 69, 89, 109, 3, 16, 37,
1358  46, 70, 89, 109, 3, 16, 37, 46, 71, 89, 109, 3, 16, 37, 47, 71, 89, 109, 3, 16, 37, 47, 72, 89, 109,
1359  3, 16, 37, 48, 73, 89, 109, 3, 16, 37, 49, 73, 89, 109, 3, 16, 37, 49, 74, 89, 109, 3, 16, 37, 50, 74,
1360  89, 109, 3, 16, 37, 51, 75, 89, 109, 3, 16, 37, 51, 76, 89, 109, 3, 16, 37, 52, 76, 89, 109, 3, 16, 37,
1361  53, 77, 89, 109, 3, 16, 37, 53, 78, 89, 109, 3, 16, 37, 54, 78, 89, 109, 3, 16, 37, 55, 79, 89, 109,
1362  3, 16, 37, 55, 80, 89, 109, 3, 16, 37, 56, 80, 89, 109, 3, 16, 37, 56, 81, 89, 109, 3, 16, 37, 57, 81,
1363  89, 109, 3, 16, 37, 58, 82, 89, 109, 3, 16, 37, 58, 83, 89, 109, 3, 16, 37, 59, 83, 89, 109, 3, 16, 37,
1364  60, 84, 89, 109, 3, 16, 37, 60, 85, 89, 109, 3, 16, 37, 61, 85, 89, 109, 3, 16, 37, 62, 86, 89, 109,
1365  3, 16, 37, 62, 87, 89, 109, 3, 16, 37, 63, 87, 89, 109, 3, 16, 37, 63, 88, 89, 109, 3, 16, 37, 64, 88,
1366  89, 109, 2, 16, 37, 65, 109, 2, 16, 37, 65, 109, 2, 16, 37, 66, 109, 2, 16, 37, 67, 109, 2, 16, 37, 67,
1367  109, 2, 16, 37, 68, 109, 2, 16, 37, 69, 109, 2, 16, 37, 69, 109, 2, 16, 37, 70, 109, 2, 16, 37, 70, 109,
1368  2, 16, 37, 71, 109, 2, 16, 37, 72, 109, 2, 16, 37, 72, 109, 2, 16, 37, 73, 109, 2, 16, 37, 74, 109, 2,
1369  16, 37, 74, 109, 2, 16, 37, 75, 109, 2, 16, 37, 76, 109, 2, 12, 49, 76, 109, 2, 9, 52, 77, 109, 2, 7,
1370  54, 78, 109, 2, 6, 55, 78, 109, 2, 5, 56, 79, 109, 2, 5, 56, 79, 109, 2, 4, 57, 80, 109, 2, 4, 57, 81,
1371  109, 2, 4, 57, 81, 109, 2, 4, 58, 82, 109, 2, 4, 58, 83, 109, 2, 4, 57, 83, 109, 2, 4, 57, 84, 109, 2,
1372  4, 57, 85, 109, 2, 5, 57, 85, 109, 2, 5, 56, 86, 109, 2, 6, 55, 86, 109, 2, 7, 54, 87, 109, 2, 8, 53,
1373  88, 109, 2, 11, 50, 88, 109, 79, 34, 160, 1, 57, 68, 1, 51, 74, 1, 47, 77, 1, 44, 80, 1, 42, 83, 1, 40,
1374  85, 1, 38, 87, 1, 36, 89, 1, 34, 90, 1, 33, 92, 1, 31, 93, 1, 30, 94, 1, 29, 96, 1, 27, 97, 1, 26, 98,
1375  1, 25, 99, 1, 24, 100, 1, 23, 101, 1, 22, 102, 1, 21, 103, 1, 20, 104, 2, 20, 55, 70, 105, 2, 19, 51,
1376  73, 106, 2, 18, 49, 75, 106, 2, 17, 47, 77, 107, 2, 16, 45, 79, 108, 2, 16, 44, 81, 108, 2, 15, 42, 82,
1377  109, 2, 15, 41, 83, 110, 2, 14, 40, 84, 110, 2, 13, 39, 85, 111, 2, 13, 38, 86, 111, 2, 12, 37, 87, 112,
1378  2, 12, 36, 88, 113, 2, 11, 35, 89, 113, 2, 11, 35, 90, 113, 2, 10, 34, 90, 114, 2, 10, 33, 91, 114, 2,
1379  10, 32, 92, 115, 2, 9, 32, 93, 115, 2, 9, 31, 93, 115, 2, 9, 31, 94, 116, 2, 8, 30, 94, 116, 2, 8, 30,
1380  95, 116, 2, 8, 29, 95, 117, 2, 7, 29, 96, 117, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117, 2, 7, 28, 96, 118,
1381  2, 7, 28, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 98, 118, 2, 6, 27, 98, 118, 2, 6,
1382  26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 5, 26, 98,
1383  119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2,
1384  5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26,
1385  98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 118, 2, 6, 27, 98, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118,
1386  2, 6, 27, 97, 118, 2, 7, 28, 97, 118, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117, 2, 7, 29, 96, 117, 2, 8,
1387  29, 95, 117, 2, 8, 30, 95, 117, 2, 8, 30, 94, 116, 2, 8, 31, 94, 116, 2, 9, 31, 93, 116, 2, 9, 32, 93,
1388  115, 2, 9, 32, 92, 115, 2, 10, 33, 92, 115, 2, 10, 34, 91, 114, 2, 11, 34, 90, 114, 2, 11, 35, 89, 113,
1389  2, 12, 36, 89, 113, 2, 12, 37, 88, 112, 2, 13, 37, 87, 112, 2, 13, 38, 86, 111, 2, 14, 39, 85, 111, 2,
1390  14, 41, 84, 110, 2, 15, 42, 83, 110, 2, 16, 43, 81, 109, 2, 16, 45, 80, 108, 2, 17, 46, 78, 107, 2, 18,
1391  48, 76, 107, 2, 18, 50, 74, 106, 2, 19, 53, 71, 105, 2, 20, 57, 67, 104, 1, 21, 103, 1, 22, 103, 1, 23,
1392  102, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27, 97, 1, 28, 96, 1, 29, 95, 1, 31, 94, 1, 32, 92, 1, 33,
1393  91, 1, 35, 89, 1, 37, 88, 1, 39, 86, 1, 41, 84, 1, 43, 81, 1, 46, 79, 1, 49, 75, 1, 54, 71, 80, 37, 157,
1394  1, 23, 76, 1, 19, 85, 1, 17, 90, 1, 16, 93, 1, 15, 95, 1, 15, 97, 1, 14, 99, 1, 14, 101, 1, 14, 102,
1395  1, 13, 104, 1, 13, 105, 1, 13, 106, 1, 14, 107, 1, 14, 108, 1, 14, 109, 1, 15, 110, 1, 15, 111, 1, 16,
1396  111, 1, 17, 112, 1, 19, 113, 1, 25, 113, 2, 30, 50, 82, 114, 2, 30, 50, 85, 114, 2, 30, 50, 88, 115,
1397  2, 30, 50, 90, 115, 2, 30, 50, 91, 116, 2, 30, 50, 92, 116, 2, 30, 50, 93, 116, 2, 30, 50, 94, 117, 2,
1398  30, 50, 95, 117, 2, 30, 50, 96, 117, 2, 30, 50, 96, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97, 118, 2, 30,
1399  50, 97, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50,
1400  98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97,
1401  118, 2, 30, 50, 96, 118, 2, 30, 50, 96, 117, 2, 30, 50, 95, 117, 2, 30, 50, 94, 117, 2, 30, 50, 94, 117,
1402  2, 30, 50, 93, 116, 2, 30, 50, 92, 116, 2, 30, 50, 91, 116, 2, 30, 50, 89, 115, 2, 30, 50, 87, 115, 2,
1403  30, 50, 86, 114, 2, 30, 50, 83, 114, 2, 30, 50, 80, 113, 2, 30, 50, 74, 112, 1, 30, 112, 1, 30, 111,
1404  1, 30, 110, 1, 30, 109, 1, 30, 108, 1, 30, 107, 1, 30, 106, 1, 30, 105, 1, 30, 104, 1, 30, 102, 1, 30,
1405  101, 1, 30, 100, 1, 30, 98, 1, 30, 97, 1, 30, 95, 1, 30, 93, 1, 30, 91, 1, 30, 88, 1, 30, 85, 1, 30,
1406  79, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50,
1407  1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1,
1408  30, 50, 1, 30, 50, 1, 30, 50, 1, 22, 76, 1, 18, 79, 1, 17, 81, 1, 16, 82, 1, 15, 83, 1, 14, 83, 1, 14,
1409  84, 1, 14, 84, 1, 14, 84, 1, 13, 84, 1, 13, 84, 1, 13, 84, 1, 14, 84, 1, 14, 84, 1, 14, 83, 1, 15, 83,
1410  1, 16, 82, 1, 17, 81, 1, 18, 80, 1, 20, 77, 81, 34, 187, 1, 57, 67, 1, 51, 73, 1, 47, 77, 1, 44, 80,
1411  1, 42, 82, 1, 40, 85, 1, 38, 87, 1, 36, 88, 1, 34, 90, 1, 33, 91, 1, 31, 93, 1, 30, 94, 1, 29, 95, 1,
1412  27, 97, 1, 26, 98, 1, 25, 99, 1, 24, 100, 1, 23, 101, 1, 22, 102, 1, 21, 103, 1, 20, 104, 2, 20, 55,
1413  70, 105, 2, 19, 51, 73, 105, 2, 18, 49, 75, 106, 2, 17, 47, 77, 107, 2, 16, 45, 79, 108, 2, 16, 44, 80,
1414  108, 2, 15, 42, 82, 109, 2, 15, 41, 83, 110, 2, 14, 40, 84, 110, 2, 13, 39, 85, 111, 2, 13, 38, 86, 111,
1415  2, 12, 37, 87, 112, 2, 12, 36, 88, 112, 2, 11, 35, 89, 113, 2, 11, 35, 90, 113, 2, 10, 34, 90, 114, 2,
1416  10, 33, 91, 114, 2, 10, 32, 92, 115, 2, 9, 32, 93, 115, 2, 9, 31, 93, 115, 2, 9, 31, 94, 116, 2, 8, 30,
1417  94, 116, 2, 8, 30, 94, 116, 2, 8, 29, 95, 117, 2, 7, 29, 95, 117, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117,
1418  2, 7, 28, 96, 118, 2, 6, 28, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 6,
1419  26, 98, 118, 2, 6, 26, 98, 118, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 5, 26, 98,
1420  119, 2, 5, 26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2,
1421  5, 26, 99, 119, 2, 5, 26, 98, 119, 2, 5, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26,
1422  98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 118, 2, 6, 26, 98, 118, 2, 6, 27, 98, 118, 2, 6, 27, 97, 118,
1423  2, 6, 27, 97, 118, 2, 7, 27, 97, 118, 2, 7, 28, 97, 118, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117, 2, 7,
1424  28, 96, 117, 2, 8, 29, 95, 117, 2, 8, 29, 95, 116, 2, 8, 30, 94, 116, 2, 9, 30, 94, 116, 2, 9, 31, 93,
1425  115, 2, 9, 31, 93, 115, 2, 10, 32, 92, 115, 2, 10, 33, 92, 114, 2, 10, 33, 91, 114, 2, 11, 34, 90, 114,
1426  2, 11, 35, 89, 113, 2, 12, 36, 88, 113, 2, 12, 36, 88, 112, 2, 13, 37, 87, 112, 2, 13, 38, 86, 111, 2,
1427  14, 39, 85, 111, 2, 14, 41, 84, 110, 2, 15, 42, 82, 109, 2, 16, 43, 81, 109, 2, 16, 44, 80, 108, 2, 17,
1428  46, 78, 107, 2, 18, 48, 76, 107, 2, 19, 50, 74, 106, 2, 19, 53, 71, 105, 2, 20, 57, 67, 104, 1, 21, 103,
1429  1, 22, 103, 1, 23, 102, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27, 97, 1, 28, 96, 1, 29, 95, 1, 31, 94,
1430  1, 32, 92, 1, 33, 91, 1, 35, 89, 1, 37, 88, 1, 39, 86, 1, 41, 84, 1, 41, 81, 1, 40, 79, 1, 39, 75, 1,
1431  38, 70, 2, 37, 66, 107, 110, 2, 36, 73, 105, 114, 2, 35, 78, 103, 115, 2, 34, 82, 101, 116, 2, 33, 84,
1432  99, 117, 2, 32, 87, 97, 118, 2, 31, 89, 95, 118, 1, 30, 119, 1, 29, 119, 1, 28, 119, 1, 27, 119, 1, 26,
1433  119, 1, 26, 119, 1, 25, 119, 1, 25, 118, 1, 25, 118, 1, 25, 117, 1, 25, 116, 1, 25, 115, 1, 25, 114,
1434  1, 25, 112, 1, 26, 110, 2, 27, 56, 73, 109, 2, 27, 51, 76, 107, 2, 29, 46, 79, 105, 2, 30, 42, 82, 102,
1435  2, 33, 37, 86, 98, 82, 37, 157, 1, 14, 66, 1, 10, 76, 1, 8, 80, 1, 7, 84, 1, 6, 86, 1, 5, 89, 1, 5, 91,
1436  1, 5, 92, 1, 4, 94, 1, 4, 95, 1, 4, 96, 1, 4, 97, 1, 4, 98, 1, 5, 99, 1, 5, 100, 1, 5, 101, 1, 6, 102,
1437  1, 7, 103, 1, 8, 103, 1, 10, 104, 1, 15, 104, 2, 21, 41, 73, 105, 2, 21, 41, 77, 106, 2, 21, 41, 79,
1438  106, 2, 21, 41, 81, 106, 2, 21, 41, 82, 107, 2, 21, 41, 83, 107, 2, 21, 41, 84, 107, 2, 21, 41, 85, 108,
1439  2, 21, 41, 86, 108, 2, 21, 41, 87, 108, 2, 21, 41, 87, 108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 108, 2,
1440  21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21,
1441  41, 88, 109, 2, 21, 41, 87, 108, 2, 21, 41, 87, 108, 2, 21, 41, 86, 108, 2, 21, 41, 86, 108, 2, 21, 41,
1442  85, 108, 2, 21, 41, 84, 107, 2, 21, 41, 82, 107, 2, 21, 41, 81, 107, 2, 21, 41, 79, 106, 2, 21, 41, 77,
1443  106, 2, 21, 41, 75, 105, 2, 21, 41, 73, 105, 2, 21, 41, 69, 104, 2, 21, 41, 65, 104, 1, 21, 103, 1, 21,
1444  102, 1, 21, 101, 1, 21, 100, 1, 21, 99, 1, 21, 98, 1, 21, 97, 1, 21, 96, 1, 21, 95, 1, 21, 93, 1, 21,
1445  92, 1, 21, 90, 1, 21, 89, 1, 21, 87, 1, 21, 87, 1, 21, 88, 1, 21, 89, 1, 21, 90, 1, 21, 91, 1, 21, 92,
1446  2, 21, 41, 61, 93, 2, 21, 41, 63, 94, 2, 21, 41, 65, 95, 2, 21, 41, 66, 96, 2, 21, 41, 68, 97, 2, 21,
1447  41, 69, 98, 2, 21, 41, 70, 99, 2, 21, 41, 71, 99, 2, 21, 41, 72, 100, 2, 21, 41, 74, 101, 2, 21, 41,
1448  75, 102, 2, 21, 41, 76, 103, 2, 21, 41, 77, 103, 2, 21, 41, 77, 104, 2, 21, 41, 78, 105, 2, 21, 41, 79,
1449  106, 2, 21, 41, 80, 106, 2, 21, 41, 81, 107, 2, 21, 41, 82, 108, 2, 21, 41, 83, 108, 2, 21, 41, 84, 109,
1450  2, 21, 41, 84, 110, 2, 21, 41, 85, 110, 2, 21, 41, 86, 111, 2, 21, 41, 87, 112, 2, 21, 41, 88, 112, 2,
1451  12, 54, 88, 119, 2, 9, 57, 89, 123, 2, 8, 58, 90, 124, 2, 7, 60, 91, 125, 2, 6, 60, 91, 126, 2, 5, 61,
1452  92, 126, 2, 5, 61, 93, 127, 2, 4, 62, 93, 127, 2, 4, 62, 94, 127, 2, 4, 62, 95, 127, 2, 4, 62, 96, 127,
1453  2, 4, 62, 96, 127, 2, 4, 62, 97, 127, 2, 5, 61, 98, 127, 2, 5, 61, 98, 126, 2, 6, 61, 99, 126, 2, 6,
1454  60, 100, 125, 2, 7, 59, 100, 124, 2, 9, 57, 101, 123, 2, 11, 55, 102, 120, 83, 34, 160, 1, 58, 66, 1,
1455  50, 74, 1, 46, 78, 2, 43, 81, 96, 97, 2, 41, 83, 92, 101, 2, 39, 85, 90, 102, 2, 36, 87, 89, 103, 1,
1456  35, 104, 1, 34, 105, 1, 32, 105, 1, 31, 106, 1, 30, 106, 1, 29, 106, 1, 28, 106, 1, 27, 106, 1, 26, 106,
1457  1, 25, 106, 1, 24, 106, 1, 24, 106, 1, 23, 106, 1, 22, 106, 2, 22, 54, 70, 106, 2, 21, 50, 73, 106, 2,
1458  21, 48, 76, 106, 2, 20, 46, 78, 106, 2, 20, 45, 79, 106, 2, 19, 44, 81, 106, 2, 19, 42, 82, 106, 2, 19,
1459  41, 83, 106, 2, 19, 41, 84, 106, 2, 18, 40, 84, 106, 2, 18, 39, 85, 106, 2, 18, 39, 85, 106, 2, 18, 38,
1460  86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 87, 106, 2, 18, 38, 87,
1461  106, 2, 18, 39, 87, 105, 2, 18, 39, 88, 105, 2, 18, 40, 88, 104, 2, 18, 40, 89, 104, 2, 19, 41, 90, 103,
1462  2, 19, 42, 92, 101, 2, 19, 43, 95, 98, 1, 19, 44, 1, 20, 45, 1, 20, 47, 1, 21, 50, 1, 21, 53, 1, 22,
1463  58, 1, 22, 62, 1, 23, 67, 1, 23, 72, 1, 24, 76, 1, 25, 80, 1, 26, 84, 1, 27, 87, 1, 27, 89, 1, 28, 92,
1464  1, 30, 94, 1, 31, 96, 1, 32, 97, 1, 34, 98, 1, 35, 100, 1, 37, 101, 1, 40, 102, 1, 42, 103, 1, 45, 103,
1465  1, 49, 104, 1, 52, 105, 1, 57, 106, 1, 61, 106, 1, 67, 107, 1, 71, 107, 1, 76, 108, 1, 79, 108, 1, 81,
1466  109, 1, 83, 109, 1, 85, 109, 1, 86, 110, 2, 23, 25, 87, 110, 2, 19, 29, 88, 110, 2, 18, 30, 89, 110,
1467  2, 17, 31, 89, 110, 2, 16, 32, 90, 110, 2, 15, 33, 90, 111, 2, 15, 33, 90, 111, 2, 15, 33, 90, 111, 2,
1468  14, 34, 91, 111, 2, 14, 34, 90, 111, 2, 14, 35, 90, 111, 2, 14, 35, 90, 110, 2, 14, 35, 90, 110, 2, 14,
1469  36, 89, 110, 2, 14, 36, 88, 110, 2, 14, 38, 87, 110, 2, 14, 39, 86, 110, 2, 14, 40, 85, 109, 2, 14, 42,
1470  84, 109, 2, 14, 44, 82, 109, 2, 14, 46, 80, 108, 2, 14, 49, 77, 108, 2, 14, 52, 74, 108, 2, 14, 57, 69,
1471  107, 1, 14, 106, 1, 14, 106, 1, 14, 105, 1, 14, 105, 1, 14, 104, 1, 14, 103, 1, 14, 102, 1, 14, 101,
1472  1, 14, 100, 1, 14, 98, 1, 15, 97, 1, 15, 96, 2, 16, 32, 33, 94, 2, 16, 31, 35, 93, 2, 17, 30, 38, 90,
1473  2, 19, 29, 40, 88, 2, 21, 27, 43, 86, 1, 46, 83, 1, 50, 79, 1, 55, 75, 84, 37, 157, 1, 9, 114, 1, 9,
1474  114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114,
1475  1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1,
1476  9, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52,
1477  72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30,
1478  52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3,
1479  9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114,
1480  3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94,
1481  114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 10, 30, 52, 72, 94, 114, 3, 10, 29, 52,
1482  72, 94, 114, 3, 10, 29, 52, 72, 95, 114, 3, 10, 29, 52, 72, 95, 114, 3, 10, 29, 52, 72, 95, 114, 3, 11,
1483  28, 52, 72, 95, 113, 3, 11, 28, 52, 72, 96, 113, 3, 12, 27, 52, 72, 96, 112, 3, 12, 27, 52, 72, 97, 111,
1484  3, 14, 26, 52, 72, 98, 110, 3, 15, 24, 52, 72, 100, 109, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1485  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1486  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1487  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1488  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1489  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 33, 91, 1, 30, 94, 1, 28, 96, 1, 27,
1490  97, 1, 26, 97, 1, 26, 98, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99,
1491  1, 25, 99, 1, 25, 98, 1, 26, 98, 1, 27, 97, 1, 28, 96, 1, 29, 94, 1, 32, 92, 85, 37, 160, 2, 14, 48,
1492  77, 111, 2, 9, 51, 73, 115, 2, 7, 53, 71, 117, 2, 6, 54, 70, 118, 2, 6, 55, 69, 119, 2, 5, 56, 68, 120,
1493  2, 4, 56, 68, 120, 2, 4, 57, 68, 121, 2, 4, 57, 67, 121, 2, 4, 57, 67, 121, 2, 3, 57, 67, 121, 2, 4,
1494  57, 67, 121, 2, 4, 57, 67, 121, 2, 4, 57, 68, 121, 2, 4, 56, 68, 120, 2, 5, 56, 69, 120, 2, 6, 55, 69,
1495  119, 2, 6, 54, 70, 118, 2, 8, 53, 71, 117, 2, 9, 51, 73, 115, 2, 14, 46, 79, 110, 2, 16, 36, 88, 108,
1496  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1497  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16,
1498  36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36,
1499  88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88,
1500  108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108,
1501  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1502  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16,
1503  36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36,
1504  88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88,
1505  108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108,
1506  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1507  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 37, 88, 108, 2, 16, 37, 88, 108, 2, 16,
1508  37, 88, 108, 2, 17, 37, 87, 108, 2, 17, 38, 87, 108, 2, 17, 38, 87, 108, 2, 17, 38, 86, 107, 2, 17, 39,
1509  86, 107, 2, 17, 39, 85, 107, 2, 18, 40, 84, 107, 2, 18, 41, 84, 106, 2, 18, 42, 83, 106, 2, 19, 43, 82,
1510  105, 2, 19, 43, 81, 105, 2, 20, 45, 80, 105, 2, 20, 46, 79, 104, 2, 21, 47, 77, 104, 2, 21, 49, 76, 103,
1511  2, 22, 51, 74, 103, 2, 23, 53, 71, 102, 2, 23, 57, 67, 101, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27,
1512  98, 1, 28, 97, 1, 28, 96, 1, 29, 95, 1, 30, 94, 1, 32, 93, 1, 33, 92, 1, 34, 91, 1, 35, 90, 1, 37, 88,
1513  1, 38, 87, 1, 40, 85, 1, 42, 83, 1, 44, 81, 1, 46, 78, 1, 49, 75, 1, 54, 71, 86, 37, 157, 2, 6, 41, 83,
1514  117, 2, 2, 45, 79, 122, 2, 1, 47, 77, 124, 2, 0, 48, 76, 125, 2, 0, 49, 75, 126, 2, 0, 50, 74, 126, 2,
1515  0, 50, 74, 127, 2, 0, 51, 74, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 128, 2, 0, 51,
1516  73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 74, 127, 2, 0, 50, 74, 127, 2, 0, 50, 75, 126, 2, 0, 49, 75, 125,
1517  2, 0, 48, 76, 125, 2, 1, 47, 77, 123, 2, 2, 45, 79, 122, 2, 7, 40, 84, 117, 2, 11, 33, 91, 113, 2, 12,
1518  34, 91, 113, 2, 12, 34, 90, 112, 2, 12, 34, 90, 112, 2, 13, 35, 89, 111, 2, 13, 35, 89, 111, 2, 14, 36,
1519  89, 111, 2, 14, 36, 88, 110, 2, 14, 37, 88, 110, 2, 15, 37, 87, 109, 2, 15, 37, 87, 109, 2, 16, 38, 86,
1520  109, 2, 16, 38, 86, 108, 2, 17, 39, 86, 108, 2, 17, 39, 85, 107, 2, 17, 39, 85, 107, 2, 18, 40, 84, 106,
1521  2, 18, 40, 84, 106, 2, 19, 41, 84, 106, 2, 19, 41, 83, 105, 2, 19, 42, 83, 105, 2, 20, 42, 82, 104, 2,
1522  20, 42, 82, 104, 2, 21, 43, 81, 104, 2, 21, 43, 81, 103, 2, 22, 44, 81, 103, 2, 22, 44, 80, 102, 2, 22,
1523  44, 80, 102, 2, 23, 45, 79, 101, 2, 23, 45, 79, 101, 2, 24, 46, 78, 101, 2, 24, 46, 78, 100, 2, 24, 47,
1524  78, 100, 2, 25, 47, 77, 99, 2, 25, 47, 77, 99, 2, 26, 48, 76, 98, 2, 26, 48, 76, 98, 2, 27, 49, 76, 98,
1525  2, 27, 49, 75, 97, 2, 27, 49, 75, 97, 2, 28, 50, 74, 96, 2, 28, 50, 74, 96, 2, 29, 51, 73, 96, 2, 29,
1526  51, 73, 95, 2, 29, 52, 73, 95, 2, 30, 52, 72, 94, 2, 30, 52, 72, 94, 2, 31, 53, 71, 93, 2, 31, 53, 71,
1527  93, 2, 32, 54, 71, 93, 2, 32, 54, 70, 92, 2, 32, 54, 70, 92, 2, 33, 55, 69, 91, 2, 33, 55, 69, 91, 2,
1528  34, 56, 68, 91, 2, 34, 56, 68, 90, 2, 34, 57, 68, 90, 2, 35, 57, 67, 89, 2, 35, 57, 67, 89, 2, 36, 58,
1529  66, 88, 2, 36, 58, 66, 88, 2, 37, 59, 65, 88, 2, 37, 59, 65, 87, 2, 37, 59, 65, 87, 2, 38, 60, 64, 86,
1530  2, 38, 60, 64, 86, 2, 39, 61, 63, 86, 2, 39, 61, 63, 85, 2, 39, 62, 63, 85, 1, 40, 84, 1, 40, 84, 1,
1531  41, 83, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 42, 82, 1, 43, 81, 1, 43, 81, 1, 44, 80, 1, 44, 80, 1, 44,
1532  80, 1, 45, 79, 1, 45, 79, 1, 46, 78, 1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 47, 77, 1, 48, 76, 1, 48, 76,
1533  1, 49, 75, 1, 49, 75, 1, 49, 75, 1, 50, 74, 1, 50, 74, 1, 51, 73, 1, 51, 73, 1, 52, 73, 1, 52, 72, 87,
1534  37, 157, 2, 9, 43, 81, 115, 2, 5, 47, 77, 119, 2, 3, 49, 75, 121, 2, 2, 51, 74, 123, 2, 1, 51, 73, 123,
1535  2, 0, 52, 72, 124, 2, 0, 52, 72, 125, 2, 0, 53, 72, 125, 2, 0, 53, 71, 125, 2, 0, 53, 71, 125, 2, 0,
1536  53, 71, 125, 2, 0, 53, 71, 125, 2, 0, 53, 71, 125, 2, 0, 53, 72, 125, 2, 0, 52, 72, 124, 2, 0, 52, 73,
1537  124, 2, 1, 51, 73, 123, 2, 2, 50, 74, 122, 2, 3, 49, 75, 121, 2, 4, 47, 77, 119, 2, 8, 42, 83, 116, 2,
1538  9, 29, 95, 116, 2, 9, 29, 95, 115, 2, 9, 29, 95, 115, 2, 9, 30, 95, 115, 2, 9, 30, 95, 115, 2, 9, 30,
1539  95, 115, 2, 9, 30, 95, 115, 2, 9, 30, 94, 115, 2, 10, 30, 94, 115, 3, 10, 30, 52, 73, 94, 115, 3, 10,
1540  30, 51, 73, 94, 114, 3, 10, 30, 51, 74, 94, 114, 3, 10, 31, 51, 74, 94, 114, 3, 10, 31, 50, 74, 94, 114,
1541  3, 10, 31, 50, 75, 94, 114, 3, 10, 31, 50, 75, 93, 114, 3, 11, 31, 49, 75, 93, 114, 3, 11, 31, 49, 76,
1542  93, 114, 3, 11, 31, 49, 76, 93, 113, 3, 11, 31, 48, 76, 93, 113, 3, 11, 32, 48, 77, 93, 113, 3, 11, 32,
1543  48, 77, 93, 113, 3, 11, 32, 47, 77, 93, 113, 3, 11, 32, 47, 78, 93, 113, 3, 12, 32, 47, 78, 92, 113,
1544  3, 12, 32, 46, 78, 92, 113, 3, 12, 32, 46, 79, 92, 113, 3, 12, 32, 46, 79, 92, 112, 3, 12, 33, 45, 79,
1545  92, 112, 3, 12, 33, 45, 80, 92, 112, 3, 12, 33, 45, 80, 92, 112, 3, 12, 33, 44, 80, 92, 112, 3, 12, 33,
1546  44, 81, 91, 112, 3, 13, 33, 44, 81, 91, 112, 3, 13, 33, 43, 81, 91, 112, 3, 13, 33, 43, 82, 91, 111,
1547  3, 13, 33, 43, 82, 91, 111, 3, 13, 34, 42, 82, 91, 111, 3, 13, 34, 42, 83, 91, 111, 3, 13, 34, 41, 83,
1548  91, 111, 3, 13, 34, 41, 83, 91, 111, 3, 14, 34, 41, 84, 90, 111, 3, 14, 34, 40, 84, 90, 111, 4, 14, 34,
1549  40, 62, 63, 84, 90, 111, 4, 14, 34, 40, 61, 63, 85, 90, 110, 4, 14, 35, 39, 61, 63, 85, 90, 110, 4, 14,
1550  35, 39, 61, 64, 85, 90, 110, 4, 14, 35, 39, 60, 64, 86, 90, 110, 4, 14, 35, 38, 60, 64, 86, 90, 110,
1551  4, 15, 35, 38, 60, 65, 86, 89, 110, 4, 15, 35, 38, 59, 65, 87, 89, 110, 4, 15, 35, 37, 59, 65, 87, 89,
1552  110, 4, 15, 35, 37, 59, 66, 87, 89, 109, 4, 15, 35, 37, 58, 66, 88, 89, 109, 3, 15, 58, 66, 88, 89, 109,
1553  3, 15, 58, 67, 88, 89, 109, 2, 15, 57, 67, 109, 2, 16, 57, 67, 109, 2, 16, 57, 68, 109, 2, 16, 56, 68,
1554  109, 2, 16, 56, 68, 109, 2, 16, 56, 69, 108, 2, 16, 55, 69, 108, 2, 16, 55, 70, 108, 2, 16, 55, 70, 108,
1555  2, 16, 54, 70, 108, 2, 17, 54, 71, 108, 2, 17, 54, 71, 108, 2, 17, 53, 71, 108, 2, 17, 53, 72, 107, 2,
1556  17, 53, 72, 107, 2, 17, 52, 72, 107, 2, 17, 52, 73, 107, 2, 17, 52, 73, 107, 2, 18, 51, 73, 107, 2, 18,
1557  51, 74, 107, 2, 18, 51, 74, 107, 2, 18, 50, 74, 107, 2, 18, 50, 75, 106, 2, 18, 50, 75, 106, 2, 18, 49,
1558  75, 106, 2, 18, 49, 76, 106, 2, 19, 49, 76, 106, 2, 19, 48, 76, 106, 2, 19, 48, 77, 106, 2, 19, 48, 77,
1559  106, 2, 19, 47, 77, 105, 2, 19, 47, 78, 105, 2, 19, 47, 78, 105, 2, 19, 46, 78, 105, 2, 20, 46, 79, 105,
1560  2, 20, 46, 79, 105, 2, 20, 46, 79, 105, 2, 20, 45, 80, 105, 2, 20, 45, 80, 105, 2, 20, 45, 80, 104, 2,
1561  20, 44, 81, 104, 2, 20, 44, 81, 104, 2, 20, 44, 81, 104, 88, 37, 157, 2, 15, 41, 83, 109, 2, 11, 45,
1562  79, 113, 2, 9, 47, 77, 115, 2, 8, 48, 76, 116, 2, 7, 49, 75, 117, 2, 7, 50, 74, 118, 2, 6, 50, 74, 118,
1563  2, 6, 51, 74, 118, 2, 5, 51, 73, 119, 2, 5, 51, 73, 119, 2, 5, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6,
1564  51, 73, 118, 2, 6, 51, 74, 118, 2, 6, 50, 74, 118, 2, 7, 50, 75, 117, 2, 8, 49, 75, 117, 2, 8, 48, 76,
1565  116, 2, 9, 47, 77, 114, 2, 11, 45, 79, 113, 2, 16, 44, 81, 108, 2, 18, 44, 80, 106, 2, 19, 45, 79, 106,
1566  2, 20, 46, 78, 105, 2, 20, 47, 78, 104, 2, 21, 48, 77, 103, 2, 22, 48, 76, 102, 2, 23, 49, 75, 101, 2,
1567  24, 50, 74, 101, 2, 25, 51, 74, 100, 2, 25, 52, 73, 99, 2, 26, 53, 72, 98, 2, 27, 53, 71, 97, 2, 28,
1568  54, 70, 96, 2, 29, 55, 69, 96, 2, 30, 56, 69, 95, 2, 30, 57, 68, 94, 2, 31, 58, 67, 93, 2, 32, 58, 66,
1569  92, 2, 33, 59, 65, 92, 2, 34, 60, 65, 91, 2, 35, 61, 64, 90, 2, 35, 62, 63, 89, 1, 36, 88, 1, 37, 87,
1570  1, 38, 87, 1, 39, 86, 1, 40, 85, 1, 40, 84, 1, 41, 83, 1, 42, 82, 1, 43, 82, 1, 44, 81, 1, 45, 80, 1,
1571  46, 79, 1, 46, 78, 1, 47, 78, 1, 48, 77, 1, 49, 76, 1, 49, 76, 1, 48, 77, 1, 47, 77, 1, 46, 78, 1, 45,
1572  79, 1, 45, 80, 1, 44, 81, 1, 43, 81, 1, 42, 82, 1, 41, 83, 1, 40, 84, 1, 40, 85, 1, 39, 86, 1, 38, 86,
1573  1, 37, 87, 1, 36, 88, 2, 36, 62, 63, 89, 2, 35, 61, 64, 90, 2, 34, 60, 65, 91, 2, 33, 59, 65, 91, 2,
1574  32, 59, 66, 92, 2, 31, 58, 67, 93, 2, 31, 57, 68, 94, 2, 30, 56, 69, 95, 2, 29, 55, 70, 96, 2, 28, 55,
1575  70, 96, 2, 27, 54, 71, 97, 2, 27, 53, 72, 98, 2, 26, 52, 73, 99, 2, 25, 51, 74, 100, 2, 24, 50, 74, 101,
1576  2, 23, 50, 75, 101, 2, 22, 49, 76, 102, 2, 22, 48, 77, 103, 2, 21, 47, 78, 104, 2, 20, 46, 79, 105, 2,
1577  19, 46, 79, 106, 2, 18, 45, 80, 106, 2, 17, 44, 81, 107, 2, 17, 43, 82, 108, 2, 16, 42, 83, 109, 2, 12,
1578  45, 80, 113, 2, 9, 48, 77, 116, 2, 7, 50, 75, 118, 2, 6, 51, 74, 119, 2, 5, 51, 73, 119, 2, 5, 52, 73,
1579  120, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 3, 53, 72, 121, 2, 3, 53, 71, 121, 2,
1580  4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4, 52, 72, 120, 2, 5, 52, 73, 120, 2, 6, 51,
1581  74, 119, 2, 7, 50, 75, 118, 2, 8, 49, 76, 117, 2, 11, 46, 79, 114, 89, 37, 157, 2, 15, 41, 83, 109, 2,
1582  11, 45, 79, 113, 2, 9, 47, 77, 115, 2, 8, 48, 76, 116, 2, 7, 49, 75, 117, 2, 7, 50, 74, 118, 2, 6, 50,
1583  74, 118, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119,
1584  2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 50, 74, 118, 2, 7, 50, 74, 118, 2, 8, 49, 75, 117, 2, 8,
1585  48, 76, 116, 2, 10, 47, 77, 115, 2, 12, 45, 79, 113, 2, 16, 43, 81, 108, 2, 19, 44, 80, 105, 2, 20, 44,
1586  80, 104, 2, 20, 45, 79, 104, 2, 21, 46, 78, 103, 2, 22, 46, 78, 102, 2, 23, 47, 77, 102, 2, 23, 48, 76,
1587  101, 2, 24, 48, 76, 100, 2, 25, 49, 75, 100, 2, 25, 50, 74, 99, 2, 26, 50, 74, 98, 2, 27, 51, 73, 98,
1588  2, 27, 52, 72, 97, 2, 28, 52, 72, 96, 2, 29, 53, 71, 96, 2, 29, 54, 70, 95, 2, 30, 55, 70, 94, 2, 31,
1589  55, 69, 93, 2, 31, 56, 68, 93, 2, 32, 57, 68, 92, 2, 33, 57, 67, 91, 2, 33, 58, 66, 91, 2, 34, 59, 66,
1590  90, 2, 35, 59, 65, 89, 2, 35, 60, 64, 89, 2, 36, 61, 64, 88, 2, 37, 61, 63, 87, 1, 37, 87, 1, 38, 86,
1591  1, 39, 85, 1, 40, 85, 1, 40, 84, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 43, 81, 1, 44, 81, 1, 44, 80, 1,
1592  45, 79, 1, 46, 79, 1, 46, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 75, 1, 50, 75, 1, 50, 74, 1, 51,
1593  73, 1, 52, 73, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1594  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1595  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1596  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 33, 91, 1, 30, 94, 1, 29, 96, 1, 27, 97, 1, 27, 98, 1, 26, 98,
1597  1, 26, 99, 1, 25, 99, 1, 25, 99, 1, 25, 100, 1, 25, 100, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 26, 99,
1598  1, 26, 98, 1, 27, 97, 1, 28, 96, 1, 30, 95, 1, 32, 92, 90, 37, 157, 1, 20, 104, 1, 20, 104, 1, 20, 104,
1599  1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20,
1600  104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104,
1601  1, 20, 104, 2, 20, 41, 77, 103, 2, 20, 41, 77, 102, 2, 20, 41, 76, 102, 2, 20, 41, 75, 101, 2, 20, 41,
1602  74, 100, 2, 20, 41, 73, 99, 2, 20, 41, 73, 99, 2, 20, 41, 72, 98, 2, 20, 41, 71, 97, 2, 20, 41, 70, 96,
1603  2, 20, 41, 70, 95, 2, 20, 41, 69, 95, 2, 20, 41, 68, 94, 2, 20, 41, 67, 93, 2, 20, 41, 66, 92, 2, 20,
1604  41, 66, 92, 2, 21, 41, 65, 91, 2, 21, 40, 64, 90, 2, 21, 40, 63, 89, 2, 21, 40, 63, 88, 2, 21, 40, 62,
1605  88, 2, 21, 40, 61, 87, 2, 22, 39, 60, 86, 2, 22, 39, 59, 85, 2, 23, 38, 59, 85, 2, 24, 37, 58, 84, 2,
1606  26, 35, 57, 83, 2, 28, 33, 56, 82, 1, 56, 81, 1, 55, 81, 1, 54, 80, 1, 53, 79, 1, 52, 78, 1, 52, 78,
1607  1, 51, 77, 1, 50, 76, 1, 49, 75, 1, 49, 74, 1, 48, 74, 1, 47, 73, 1, 46, 72, 1, 45, 71, 1, 45, 71, 1,
1608  44, 70, 1, 43, 69, 1, 42, 68, 1, 41, 67, 1, 41, 67, 1, 40, 66, 1, 39, 65, 2, 38, 64, 97, 100, 2, 38,
1609  64, 94, 103, 2, 37, 63, 92, 105, 2, 36, 62, 91, 106, 2, 35, 61, 90, 106, 2, 34, 60, 90, 107, 2, 34, 60,
1610  89, 107, 2, 33, 59, 89, 108, 2, 32, 58, 89, 108, 2, 31, 57, 89, 108, 2, 31, 56, 88, 108, 2, 30, 56, 88,
1611  108, 2, 29, 55, 88, 108, 2, 28, 54, 88, 109, 2, 27, 53, 88, 109, 2, 27, 53, 88, 109, 2, 26, 52, 88, 109,
1612  2, 25, 51, 88, 109, 2, 24, 50, 88, 109, 2, 24, 49, 88, 109, 2, 23, 49, 88, 109, 2, 22, 48, 88, 109, 2,
1613  21, 47, 88, 109, 2, 20, 46, 88, 109, 2, 20, 46, 88, 109, 2, 19, 45, 88, 109, 2, 18, 44, 88, 109, 2, 17,
1614  43, 88, 109, 2, 17, 42, 88, 109, 1, 16, 109, 1, 16, 109, 1, 16, 109, 1, 16, 108, 1, 16, 108, 1, 16, 108,
1615  1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16,
1616  108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 91, 29, 189, 1, 52, 88, 1, 52, 92, 1,
1617  52, 94, 1, 52, 95, 1, 52, 96, 1, 52, 97, 1, 52, 97, 1, 52, 97, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52,
1618  98, 1, 52, 98, 1, 52, 97, 1, 52, 97, 1, 52, 96, 1, 52, 96, 1, 52, 95, 1, 52, 93, 1, 52, 91, 1, 52, 72,
1619  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1620  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1621  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1622  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1623  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1624  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1625  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1626  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1627  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1628  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1629  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1630  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1631  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 91, 1, 52, 93, 1,
1632  52, 95, 1, 52, 96, 1, 52, 96, 1, 52, 97, 1, 52, 97, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52,
1633  98, 1, 52, 97, 1, 52, 97, 1, 52, 97, 1, 52, 96, 1, 52, 95, 1, 52, 94, 1, 52, 93, 1, 52, 89, 92, 14, 180,
1634  1, 27, 31, 1, 23, 33, 1, 22, 35, 1, 21, 36, 1, 20, 36, 1, 19, 37, 1, 19, 38, 1, 19, 38, 1, 18, 39, 1,
1635  18, 39, 1, 18, 40, 1, 18, 40, 1, 19, 40, 1, 19, 41, 1, 19, 41, 1, 20, 42, 1, 20, 42, 1, 20, 43, 1, 21,
1636  43, 1, 21, 44, 1, 22, 44, 1, 22, 45, 1, 23, 45, 1, 23, 46, 1, 24, 46, 1, 24, 47, 1, 25, 47, 1, 25, 47,
1637  1, 26, 48, 1, 26, 48, 1, 27, 49, 1, 27, 49, 1, 27, 50, 1, 28, 50, 1, 28, 51, 1, 29, 51, 1, 29, 52, 1,
1638  30, 52, 1, 30, 53, 1, 31, 53, 1, 31, 54, 1, 32, 54, 1, 32, 54, 1, 33, 55, 1, 33, 55, 1, 34, 56, 1, 34,
1639  56, 1, 34, 57, 1, 35, 57, 1, 35, 58, 1, 36, 58, 1, 36, 59, 1, 37, 59, 1, 37, 60, 1, 38, 60, 1, 38, 61,
1640  1, 39, 61, 1, 39, 61, 1, 40, 62, 1, 40, 62, 1, 40, 63, 1, 41, 63, 1, 41, 64, 1, 42, 64, 1, 42, 65, 1,
1641  43, 65, 1, 43, 66, 1, 44, 66, 1, 44, 67, 1, 45, 67, 1, 45, 68, 1, 46, 68, 1, 46, 68, 1, 47, 69, 1, 47,
1642  69, 1, 47, 70, 1, 48, 70, 1, 48, 71, 1, 49, 71, 1, 49, 72, 1, 50, 72, 1, 50, 73, 1, 51, 73, 1, 51, 74,
1643  1, 52, 74, 1, 52, 75, 1, 53, 75, 1, 53, 75, 1, 54, 76, 1, 54, 76, 1, 54, 77, 1, 55, 77, 1, 55, 78, 1,
1644  56, 78, 1, 56, 79, 1, 57, 79, 1, 57, 80, 1, 58, 80, 1, 58, 81, 1, 59, 81, 1, 59, 82, 1, 60, 82, 1, 60,
1645  82, 1, 61, 83, 1, 61, 83, 1, 61, 84, 1, 62, 84, 1, 62, 85, 1, 63, 85, 1, 63, 86, 1, 64, 86, 1, 64, 87,
1646  1, 65, 87, 1, 65, 88, 1, 66, 88, 1, 66, 89, 1, 67, 89, 1, 67, 89, 1, 67, 90, 1, 68, 90, 1, 68, 91, 1,
1647  69, 91, 1, 69, 92, 1, 70, 92, 1, 70, 93, 1, 71, 93, 1, 71, 94, 1, 72, 94, 1, 72, 95, 1, 73, 95, 1, 73,
1648  96, 1, 74, 96, 1, 74, 96, 1, 74, 97, 1, 75, 97, 1, 75, 98, 1, 76, 98, 1, 76, 99, 1, 77, 99, 1, 77, 100,
1649  1, 78, 100, 1, 78, 101, 1, 79, 101, 1, 79, 102, 1, 80, 102, 1, 80, 103, 1, 81, 103, 1, 81, 103, 1, 81,
1650  104, 1, 82, 104, 1, 82, 105, 1, 83, 105, 1, 83, 105, 1, 84, 106, 1, 84, 106, 1, 85, 106, 1, 85, 106,
1651  1, 86, 106, 1, 86, 106, 1, 87, 106, 1, 87, 106, 1, 88, 105, 1, 89, 104, 1, 90, 103, 1, 91, 102, 1, 93,
1652  99, 93, 29, 189, 1, 36, 72, 1, 32, 72, 1, 30, 72, 1, 29, 72, 1, 28, 72, 1, 28, 72, 1, 27, 72, 1, 27,
1653  72, 1, 26, 72, 1, 26, 72, 1, 26, 72, 1, 26, 72, 1, 26, 72, 1, 27, 72, 1, 27, 72, 1, 28, 72, 1, 28, 72,
1654  1, 29, 72, 1, 31, 72, 1, 33, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1655  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1656  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1657  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1658  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1659  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1660  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1661  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1662  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1663  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1664  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1665  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1666  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1667  52, 72, 1, 52, 72, 1, 33, 72, 1, 31, 72, 1, 29, 72, 1, 29, 72, 1, 28, 72, 1, 27, 72, 1, 27, 72, 1, 27,
1668  72, 1, 27, 72, 1, 26, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72, 1, 28, 72, 1, 28, 72, 1, 29, 72,
1669  1, 30, 72, 1, 32, 72, 1, 35, 72, 94, 24, 90, 1, 61, 63, 1, 60, 64, 1, 59, 65, 1, 58, 65, 1, 57, 66, 1,
1670  57, 67, 1, 56, 68, 1, 55, 69, 1, 54, 70, 1, 53, 70, 1, 52, 71, 1, 52, 72, 1, 51, 73, 1, 50, 74, 1, 49,
1671  75, 1, 48, 75, 1, 47, 76, 1, 47, 77, 1, 46, 78, 1, 45, 79, 1, 44, 80, 1, 43, 80, 1, 42, 81, 1, 42, 82,
1672  1, 41, 83, 1, 40, 84, 1, 39, 85, 1, 38, 85, 1, 38, 86, 1, 37, 87, 1, 36, 88, 1, 35, 89, 2, 34, 61, 63,
1673  90, 2, 33, 60, 64, 90, 2, 33, 59, 65, 91, 2, 32, 58, 65, 92, 2, 31, 57, 66, 93, 2, 30, 57, 67, 94, 2,
1674  29, 56, 68, 95, 2, 28, 55, 69, 95, 2, 28, 54, 70, 96, 2, 27, 53, 70, 97, 2, 26, 52, 71, 98, 2, 25, 52,
1675  72, 99, 2, 24, 51, 73, 100, 2, 23, 50, 74, 100, 2, 23, 49, 75, 101, 2, 22, 48, 76, 102, 2, 21, 47, 76,
1676  103, 2, 20, 47, 77, 104, 2, 20, 46, 78, 104, 2, 19, 45, 79, 105, 2, 19, 44, 80, 106, 2, 18, 43, 81, 106,
1677  2, 18, 43, 81, 106, 2, 18, 42, 82, 106, 2, 18, 41, 83, 106, 2, 18, 40, 84, 106, 2, 18, 39, 85, 106, 2,
1678  18, 38, 86, 106, 2, 19, 37, 87, 105, 2, 20, 37, 87, 104, 2, 20, 36, 88, 104, 2, 21, 35, 89, 103, 2, 23,
1679  33, 91, 101, 2, 24, 32, 92, 100, 95, 198, 218, 1, 1, 124, 1, 0, 127, 1, 0, 128, 1, 0, 129, 1, 0, 130,
1680  1, 0, 131, 1, 0, 131, 1, 0, 131, 1, 0, 132, 1, 0, 132, 1, 0, 132, 1, 0, 132, 1, 0, 131, 1, 0, 131, 1,
1681  0, 131, 1, 0, 130, 1, 0, 129, 1, 0, 128, 1, 0, 127, 1, 1, 124, 96, 22, 56, 1, 47, 51, 1, 45, 53, 1, 44,
1682  55, 1, 44, 56, 1, 43, 57, 1, 43, 59, 1, 43, 60, 1, 43, 61, 1, 43, 62, 1, 44, 64, 1, 44, 65, 1, 45, 66,
1683  1, 46, 67, 1, 48, 68, 1, 49, 70, 1, 50, 71, 1, 51, 72, 1, 53, 73, 1, 54, 75, 1, 55, 76, 1, 56, 77, 1,
1684  58, 78, 1, 59, 79, 1, 60, 80, 1, 61, 81, 1, 62, 81, 1, 64, 81, 1, 65, 81, 1, 66, 81, 1, 67, 81, 1, 69,
1685  80, 1, 70, 80, 1, 72, 78, 1, 74, 76, 97, 65, 161, 1, 50, 71, 1, 44, 76, 1, 39, 80, 1, 35, 82, 1, 31,
1686  85, 1, 27, 86, 1, 25, 88, 1, 23, 90, 1, 22, 91, 1, 22, 92, 1, 21, 93, 1, 21, 94, 1, 20, 95, 1, 20, 95,
1687  1, 20, 96, 1, 20, 97, 1, 21, 97, 1, 21, 98, 1, 21, 98, 1, 21, 99, 2, 22, 55, 69, 99, 2, 23, 48, 74, 99,
1688  2, 24, 43, 76, 100, 2, 25, 38, 77, 100, 2, 28, 34, 78, 100, 1, 79, 100, 1, 79, 100, 1, 80, 100, 1, 80,
1689  100, 1, 80, 101, 1, 80, 101, 1, 80, 101, 1, 80, 101, 2, 54, 65, 80, 101, 2, 45, 75, 80, 101, 1, 41, 101,
1690  1, 37, 101, 1, 35, 101, 1, 32, 101, 1, 30, 101, 1, 28, 101, 1, 27, 101, 1, 26, 101, 1, 24, 101, 1, 23,
1691  101, 1, 22, 101, 1, 20, 101, 1, 19, 101, 1, 19, 101, 1, 18, 101, 1, 17, 101, 1, 16, 101, 1, 15, 101,
1692  1, 15, 101, 2, 14, 49, 71, 101, 2, 13, 45, 77, 101, 2, 13, 42, 80, 101, 2, 12, 40, 80, 101, 2, 12, 39,
1693  80, 101, 2, 12, 37, 80, 101, 2, 11, 36, 80, 101, 2, 11, 34, 80, 101, 2, 11, 33, 80, 101, 2, 10, 32, 80,
1694  101, 2, 10, 32, 80, 101, 2, 10, 31, 79, 101, 2, 10, 31, 77, 101, 2, 10, 31, 75, 101, 2, 10, 31, 74, 101,
1695  2, 10, 32, 71, 101, 2, 10, 32, 69, 101, 2, 11, 33, 66, 101, 2, 11, 35, 64, 109, 2, 11, 36, 60, 113, 2,
1696  11, 40, 56, 114, 1, 12, 115, 1, 12, 116, 1, 12, 117, 1, 13, 117, 1, 14, 117, 1, 14, 117, 1, 15, 118,
1697  1, 16, 118, 1, 17, 118, 1, 18, 117, 1, 19, 117, 1, 20, 117, 1, 21, 116, 2, 23, 78, 80, 115, 2, 24, 76,
1698  80, 114, 2, 25, 74, 80, 113, 2, 27, 71, 80, 111, 1, 30, 67, 1, 32, 64, 1, 37, 58, 1, 45, 49, 98, 29,
1699  160, 1, 7, 36, 1, 4, 36, 1, 3, 36, 1, 2, 36, 1, 1, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0,
1700  36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 1, 36, 1, 2, 36, 1, 2, 36, 1, 4, 36, 1, 6, 36,
1701  1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1,
1702  16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 2, 16, 36, 59, 76, 2, 16, 36,
1703  54, 81, 2, 16, 36, 51, 84, 2, 16, 36, 48, 87, 2, 16, 36, 46, 89, 2, 16, 36, 43, 91, 2, 16, 36, 42, 93,
1704  2, 16, 36, 40, 94, 2, 16, 36, 38, 96, 1, 16, 97, 1, 16, 99, 1, 16, 100, 1, 16, 101, 1, 16, 102, 1, 16,
1705  103, 1, 16, 104, 1, 16, 105, 1, 16, 106, 1, 16, 107, 1, 16, 107, 2, 16, 61, 72, 108, 2, 16, 57, 76, 109,
1706  2, 16, 54, 79, 110, 2, 16, 53, 81, 110, 2, 16, 51, 83, 111, 2, 16, 49, 84, 111, 2, 16, 48, 86, 112, 2,
1707  16, 47, 87, 112, 2, 16, 46, 88, 113, 2, 16, 45, 89, 113, 2, 16, 44, 90, 114, 2, 16, 43, 91, 114, 2, 16,
1708  42, 92, 115, 2, 16, 41, 92, 115, 2, 16, 41, 93, 115, 2, 16, 40, 93, 116, 2, 16, 40, 94, 116, 2, 16, 39,
1709  95, 116, 2, 16, 39, 95, 116, 2, 16, 38, 95, 116, 2, 16, 38, 96, 117, 2, 16, 38, 96, 117, 2, 16, 37, 96,
1710  117, 2, 16, 37, 96, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117,
1711  2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2,
1712  16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 96, 117, 2, 16, 38, 96, 117, 2, 16,
1713  38, 96, 117, 2, 16, 38, 95, 116, 2, 16, 39, 95, 116, 2, 16, 39, 94, 116, 2, 16, 40, 94, 116, 2, 16, 41,
1714  93, 115, 2, 16, 41, 92, 115, 2, 16, 42, 92, 115, 2, 16, 43, 91, 114, 2, 16, 44, 90, 114, 2, 16, 45, 89,
1715  113, 2, 16, 46, 87, 113, 2, 16, 48, 86, 112, 2, 16, 50, 84, 112, 2, 7, 52, 82, 111, 2, 4, 54, 79, 111,
1716  2, 3, 59, 75, 110, 1, 2, 109, 1, 1, 109, 1, 0, 108, 1, 0, 107, 1, 0, 106, 1, 0, 105, 1, 0, 104, 1, 0,
1717  103, 1, 0, 102, 1, 0, 101, 1, 0, 100, 1, 0, 98, 2, 1, 36, 37, 97, 2, 1, 36, 39, 95, 2, 2, 36, 41, 93,
1718  2, 4, 36, 43, 91, 2, 6, 36, 45, 89, 1, 48, 86, 1, 51, 83, 1, 56, 78, 99, 65, 161, 1, 55, 75, 1, 50, 81,
1719  1, 46, 84, 2, 43, 88, 97, 105, 2, 41, 90, 96, 107, 2, 39, 92, 94, 108, 1, 37, 109, 1, 35, 110, 1, 34,
1720  110, 1, 32, 110, 1, 31, 111, 1, 30, 111, 1, 29, 111, 1, 27, 111, 1, 26, 111, 1, 26, 111, 1, 25, 111,
1721  1, 24, 111, 1, 23, 111, 1, 22, 111, 2, 21, 58, 72, 111, 2, 21, 54, 77, 111, 2, 20, 51, 80, 111, 2, 19,
1722  49, 82, 111, 2, 19, 47, 84, 111, 2, 18, 45, 86, 111, 2, 18, 44, 87, 111, 2, 17, 43, 88, 111, 2, 17, 41,
1723  89, 111, 2, 16, 41, 89, 111, 2, 16, 40, 90, 111, 2, 16, 39, 90, 111, 2, 15, 38, 91, 111, 2, 15, 37, 91,
1724  111, 2, 15, 37, 91, 111, 2, 14, 36, 91, 110, 2, 14, 36, 92, 110, 2, 14, 35, 92, 110, 2, 14, 35, 93, 109,
1725  2, 13, 35, 93, 108, 2, 13, 34, 95, 107, 2, 13, 34, 96, 106, 2, 13, 34, 101, 102, 1, 13, 33, 1, 13, 33,
1726  1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1,
1727  13, 33, 1, 13, 33, 1, 13, 34, 1, 13, 34, 1, 13, 34, 1, 13, 35, 1, 14, 35, 1, 14, 36, 1, 14, 36, 1, 14,
1728  37, 2, 15, 37, 102, 110, 2, 15, 38, 101, 112, 2, 15, 39, 100, 113, 2, 16, 40, 98, 114, 2, 16, 41, 97,
1729  115, 2, 17, 43, 96, 115, 2, 17, 44, 94, 116, 2, 18, 46, 92, 116, 2, 18, 49, 90, 116, 2, 19, 52, 87, 116,
1730  2, 19, 58, 81, 116, 1, 20, 116, 1, 21, 116, 1, 22, 116, 1, 22, 115, 1, 23, 115, 1, 24, 114, 1, 25, 113,
1731  1, 26, 112, 1, 28, 111, 1, 29, 110, 1, 30, 109, 1, 32, 107, 1, 33, 106, 1, 35, 104, 1, 37, 102, 1, 39,
1732  100, 1, 41, 97, 1, 44, 94, 1, 48, 90, 1, 53, 84, 1, 65, 74, 100, 29, 160, 1, 79, 109, 1, 76, 109, 1,
1733  75, 109, 1, 74, 109, 1, 73, 109, 1, 72, 109, 1, 72, 109, 1, 72, 109, 1, 71, 109, 1, 71, 109, 1, 71, 109,
1734  1, 71, 109, 1, 72, 109, 1, 72, 109, 1, 72, 109, 1, 73, 109, 1, 74, 109, 1, 75, 109, 1, 76, 109, 1, 79,
1735  109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109,
1736  1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 2, 49,
1737  66, 88, 109, 2, 44, 71, 88, 109, 2, 41, 74, 88, 109, 2, 38, 77, 88, 109, 2, 36, 79, 88, 109, 2, 34, 81,
1738  88, 109, 2, 32, 83, 88, 109, 2, 30, 85, 88, 109, 2, 29, 87, 88, 109, 1, 28, 109, 1, 26, 109, 1, 25, 109,
1739  1, 24, 109, 1, 23, 109, 1, 22, 109, 1, 21, 109, 1, 20, 109, 1, 19, 109, 1, 18, 109, 1, 18, 109, 2, 17,
1740  53, 63, 109, 2, 16, 49, 67, 109, 2, 15, 46, 70, 109, 2, 15, 44, 72, 109, 2, 14, 42, 74, 109, 2, 13, 40,
1741  76, 109, 2, 13, 39, 77, 109, 2, 12, 38, 78, 109, 2, 12, 37, 79, 109, 2, 12, 36, 80, 109, 2, 11, 35, 81,
1742  109, 2, 11, 34, 82, 109, 2, 10, 33, 83, 109, 2, 10, 33, 84, 109, 2, 10, 32, 84, 109, 2, 9, 31, 85, 109,
1743  2, 9, 31, 85, 109, 2, 9, 30, 86, 109, 2, 9, 30, 86, 109, 2, 8, 30, 87, 109, 2, 8, 29, 87, 109, 2, 8,
1744  29, 87, 109, 2, 8, 29, 87, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88,
1745  109, 2, 8, 28, 88, 109, 2, 7, 28, 88, 109, 2, 7, 28, 88, 109, 2, 7, 28, 88, 109, 2, 8, 28, 88, 109, 2,
1746  8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 29, 87, 109, 2, 8, 29,
1747  87, 109, 2, 8, 29, 87, 109, 2, 8, 30, 87, 109, 2, 9, 30, 86, 109, 2, 9, 31, 85, 109, 2, 9, 31, 85, 109,
1748  2, 9, 32, 84, 109, 2, 10, 32, 84, 109, 2, 10, 33, 83, 109, 2, 11, 34, 82, 109, 2, 11, 35, 81, 109, 2,
1749  11, 36, 80, 109, 2, 12, 38, 78, 109, 2, 12, 39, 77, 109, 2, 13, 41, 75, 109, 2, 13, 43, 73, 117, 2, 14,
1750  45, 70, 121, 2, 15, 50, 66, 122, 1, 15, 123, 1, 16, 124, 1, 17, 125, 1, 18, 125, 1, 19, 125, 1, 20, 126,
1751  1, 21, 126, 1, 22, 126, 1, 23, 126, 1, 24, 125, 1, 25, 125, 1, 27, 125, 1, 28, 124, 2, 30, 86, 88, 123,
1752  2, 32, 84, 88, 122, 2, 33, 82, 88, 121, 2, 36, 79, 88, 119, 1, 39, 77, 1, 42, 74, 1, 46, 69, 101, 65,
1753  160, 1, 50, 70, 1, 46, 75, 1, 42, 78, 1, 40, 81, 1, 37, 84, 1, 35, 86, 1, 33, 88, 1, 31, 90, 1, 30, 91,
1754  1, 28, 93, 1, 27, 94, 1, 26, 96, 1, 24, 97, 1, 23, 98, 1, 22, 99, 1, 21, 100, 1, 20, 101, 1, 19, 102,
1755  1, 18, 102, 1, 17, 103, 2, 17, 54, 67, 104, 2, 16, 49, 71, 104, 2, 15, 46, 75, 105, 2, 14, 44, 77, 106,
1756  2, 14, 42, 79, 106, 2, 13, 41, 80, 107, 2, 13, 39, 82, 107, 2, 12, 38, 83, 108, 2, 12, 37, 84, 108, 2,
1757  11, 36, 85, 109, 2, 11, 35, 86, 109, 2, 11, 34, 87, 110, 2, 10, 34, 87, 110, 2, 10, 33, 88, 110, 2, 10,
1758  32, 89, 111, 2, 9, 32, 89, 111, 2, 9, 31, 90, 111, 1, 9, 112, 1, 9, 112, 1, 9, 112, 1, 8, 112, 1, 8,
1759  112, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113,
1760  1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 9, 113, 1, 9, 113, 1, 9, 30, 1, 9, 31, 1, 9,
1761  31, 1, 10, 32, 1, 10, 32, 1, 10, 33, 1, 11, 34, 1, 11, 35, 1, 11, 36, 1, 12, 37, 2, 12, 38, 102, 104,
1762  2, 13, 40, 96, 108, 2, 13, 41, 92, 109, 2, 14, 43, 88, 110, 2, 15, 45, 84, 111, 2, 15, 49, 79, 112, 2,
1763  16, 53, 72, 112, 1, 17, 113, 1, 18, 113, 1, 18, 113, 1, 19, 113, 1, 20, 113, 1, 21, 113, 1, 22, 113,
1764  1, 23, 112, 1, 24, 111, 1, 26, 111, 1, 27, 110, 1, 28, 108, 1, 30, 106, 1, 32, 104, 1, 34, 101, 1, 36,
1765  98, 1, 38, 94, 1, 41, 89, 1, 44, 84, 1, 49, 77, 102, 29, 157, 1, 71, 91, 1, 66, 100, 1, 63, 106, 1, 60,
1766  110, 1, 58, 112, 1, 56, 114, 1, 55, 115, 1, 53, 116, 1, 52, 116, 1, 51, 117, 1, 50, 117, 1, 49, 117,
1767  1, 48, 117, 1, 47, 117, 1, 47, 117, 1, 46, 117, 1, 45, 117, 1, 45, 116, 1, 44, 116, 1, 44, 115, 2, 43,
1768  74, 85, 114, 2, 43, 69, 94, 113, 2, 43, 67, 101, 111, 1, 43, 65, 1, 42, 64, 1, 42, 64, 1, 42, 63, 1,
1769  42, 63, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42,
1770  62, 1, 42, 62, 1, 30, 95, 1, 25, 101, 1, 23, 103, 1, 21, 104, 1, 20, 105, 1, 20, 105, 1, 19, 106, 1,
1771  19, 106, 1, 19, 107, 1, 18, 107, 1, 18, 107, 1, 18, 107, 1, 19, 107, 1, 19, 106, 1, 19, 106, 1, 20, 105,
1772  1, 20, 105, 1, 21, 104, 1, 22, 103, 1, 24, 101, 1, 29, 97, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62,
1773  1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1,
1774  42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42,
1775  62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62,
1776  1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1,
1777  42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 24, 96, 1, 21,
1778  99, 1, 20, 101, 1, 18, 102, 1, 18, 103, 1, 17, 103, 1, 17, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1,
1779  16, 104, 1, 16, 104, 1, 16, 104, 1, 17, 104, 1, 17, 103, 1, 18, 103, 1, 18, 102, 1, 19, 101, 1, 21, 100,
1780  1, 23, 97, 103, 64, 200, 1, 55, 57, 1, 46, 66, 1, 41, 70, 2, 38, 73, 84, 110, 2, 36, 76, 84, 115, 2,
1781  34, 78, 84, 117, 2, 32, 80, 84, 119, 2, 30, 81, 84, 120, 2, 29, 83, 84, 120, 1, 27, 121, 1, 26, 121,
1782  1, 25, 122, 1, 24, 122, 1, 23, 122, 1, 22, 122, 1, 21, 122, 1, 20, 121, 1, 19, 121, 1, 18, 120, 1, 17,
1783  120, 1, 16, 119, 2, 16, 50, 63, 118, 2, 15, 46, 66, 116, 2, 14, 44, 68, 111, 2, 14, 42, 70, 105, 2, 13,
1784  40, 72, 105, 2, 13, 39, 73, 105, 2, 12, 38, 74, 105, 2, 12, 37, 76, 105, 2, 11, 36, 77, 105, 2, 11, 35,
1785  77, 105, 2, 11, 34, 78, 105, 2, 10, 33, 79, 105, 2, 10, 33, 80, 105, 2, 10, 32, 80, 105, 2, 9, 31, 81,
1786  105, 2, 9, 31, 81, 105, 2, 9, 30, 82, 105, 2, 9, 30, 82, 105, 2, 9, 30, 83, 105, 2, 8, 29, 83, 105, 2,
1787  8, 29, 83, 105, 2, 8, 29, 84, 105, 2, 8, 29, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28,
1788  84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105,
1789  2, 8, 28, 84, 105, 2, 8, 29, 84, 105, 2, 8, 29, 84, 105, 2, 8, 29, 83, 105, 2, 8, 29, 83, 105, 2, 9,
1790  30, 83, 105, 2, 9, 30, 82, 105, 2, 9, 31, 82, 105, 2, 9, 31, 81, 105, 2, 9, 32, 81, 105, 2, 10, 32, 80,
1791  105, 2, 10, 33, 80, 105, 2, 10, 34, 79, 105, 2, 11, 34, 78, 105, 2, 11, 35, 77, 105, 2, 12, 36, 76, 105,
1792  2, 12, 37, 75, 105, 2, 12, 38, 74, 105, 2, 13, 40, 73, 105, 2, 13, 41, 71, 105, 2, 14, 43, 69, 105, 2,
1793  15, 45, 68, 105, 2, 15, 48, 65, 105, 2, 16, 51, 61, 105, 1, 17, 105, 1, 17, 105, 1, 18, 105, 1, 19, 105,
1794  1, 20, 105, 1, 21, 105, 1, 22, 105, 1, 23, 105, 1, 24, 105, 1, 25, 105, 1, 26, 105, 1, 28, 105, 2, 29,
1795  83, 84, 105, 2, 31, 81, 84, 105, 2, 32, 79, 84, 105, 2, 34, 77, 84, 105, 2, 37, 75, 84, 105, 2, 39, 72,
1796  84, 105, 2, 42, 69, 84, 105, 2, 47, 65, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84,
1797  105, 1, 84, 104, 1, 84, 104, 1, 83, 104, 1, 83, 104, 1, 83, 104, 1, 82, 104, 1, 82, 104, 1, 81, 103,
1798  1, 80, 103, 1, 79, 103, 1, 78, 102, 1, 76, 102, 1, 74, 101, 1, 71, 101, 1, 39, 101, 1, 35, 100, 1, 33,
1799  99, 1, 32, 99, 1, 31, 98, 1, 30, 97, 1, 30, 96, 1, 29, 95, 1, 29, 95, 1, 29, 93, 1, 29, 92, 1, 29, 91,
1800  1, 29, 90, 1, 29, 88, 1, 30, 87, 1, 30, 85, 1, 31, 83, 1, 32, 81, 1, 33, 78, 1, 35, 75, 1, 40, 67, 104,
1801  29, 157, 1, 12, 41, 1, 9, 41, 1, 7, 41, 1, 6, 41, 1, 5, 41, 1, 5, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41, 1,
1802  4, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41, 1, 5, 41, 1, 5, 41, 1, 6, 41, 1, 7, 41, 1, 9, 41, 1, 11,
1803  41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41,
1804  1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 2, 21, 41, 59, 76, 2, 21,
1805  41, 54, 81, 2, 21, 41, 51, 84, 2, 21, 41, 49, 86, 2, 21, 41, 46, 88, 2, 21, 41, 44, 90, 2, 21, 41, 42,
1806  91, 1, 21, 93, 1, 21, 94, 1, 21, 95, 1, 21, 96, 1, 21, 97, 1, 21, 98, 1, 21, 99, 1, 21, 99, 1, 21, 100,
1807  1, 21, 101, 1, 21, 101, 1, 21, 102, 1, 21, 102, 2, 21, 62, 72, 102, 2, 21, 58, 76, 103, 2, 21, 56, 78,
1808  103, 2, 21, 54, 80, 104, 2, 21, 52, 81, 104, 2, 21, 51, 82, 104, 2, 21, 49, 83, 104, 2, 21, 48, 83, 104,
1809  2, 21, 47, 83, 105, 2, 21, 46, 84, 105, 2, 21, 45, 84, 105, 2, 21, 44, 84, 105, 2, 21, 43, 84, 105, 2,
1810  21, 42, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1811  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1812  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1813  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
1814  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
1815  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1816  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1817  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 13, 48, 77, 112, 2, 11, 51, 74, 115, 2, 9, 53, 73,
1818  116, 2, 8, 54, 72, 117, 2, 8, 54, 71, 118, 2, 7, 55, 71, 119, 2, 7, 55, 70, 119, 2, 6, 56, 70, 119, 2,
1819  6, 56, 70, 119, 2, 6, 56, 70, 120, 2, 6, 56, 70, 120, 2, 6, 56, 70, 120, 2, 6, 56, 70, 119, 2, 6, 56,
1820  70, 119, 2, 7, 55, 71, 119, 2, 7, 55, 71, 118, 2, 8, 54, 72, 117, 2, 9, 53, 73, 116, 2, 11, 51, 74, 115,
1821  2, 13, 49, 77, 113, 105, 29, 157, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1,
1822  45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45,
1823  69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1824  0, 0, 0, 1, 33, 72, 1, 28, 72, 1, 26, 72, 1, 25, 72, 1, 24, 72, 1, 23, 72, 1, 23, 72, 1, 22, 72, 1, 22,
1825  72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 23, 72, 1, 23, 72, 1, 24, 72, 1, 25, 72,
1826  1, 26, 72, 1, 28, 72, 1, 32, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1827  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1828  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1829  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1830  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1831  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 22, 102, 1, 19, 105, 1, 18, 106, 1, 16,
1832  108, 1, 16, 108, 1, 15, 109, 1, 15, 109, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 14, 110,
1833  1, 14, 110, 1, 15, 109, 1, 15, 109, 1, 15, 109, 1, 16, 108, 1, 17, 107, 1, 19, 105, 1, 21, 103, 106,
1834  29, 200, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58,
1835  82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82,
1836  1, 58, 82, 1, 58, 82, 1, 58, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 31, 94, 1, 25,
1837  94, 1, 23, 94, 1, 22, 94, 1, 21, 94, 1, 21, 94, 1, 20, 94, 1, 20, 94, 1, 19, 94, 1, 19, 94, 1, 19, 94,
1838  1, 19, 94, 1, 19, 94, 1, 20, 94, 1, 20, 94, 1, 21, 94, 1, 21, 94, 1, 22, 94, 1, 23, 94, 1, 25, 94, 1,
1839  29, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
1840  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
1841  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1,
1842  74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
1843  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
1844  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1,
1845  74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
1846  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
1847  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 73, 94, 1, 73, 94, 1, 72, 94, 1, 72, 94, 1,
1848  71, 93, 1, 71, 93, 1, 70, 93, 1, 69, 92, 1, 67, 92, 1, 66, 92, 1, 64, 91, 1, 61, 91, 1, 29, 90, 1, 25,
1849  90, 1, 23, 89, 1, 21, 88, 1, 21, 88, 1, 20, 87, 1, 19, 86, 1, 19, 85, 1, 19, 84, 1, 19, 83, 1, 19, 82,
1850  1, 19, 81, 1, 19, 80, 1, 19, 78, 1, 19, 77, 1, 20, 75, 1, 21, 73, 1, 22, 71, 1, 23, 68, 1, 25, 65, 1,
1851  30, 57, 107, 29, 157, 1, 16, 45, 1, 13, 45, 1, 12, 45, 1, 11, 45, 1, 10, 45, 1, 9, 45, 1, 9, 45, 1, 8,
1852  45, 1, 8, 45, 1, 8, 45, 1, 8, 45, 1, 8, 45, 1, 8, 45, 1, 9, 45, 1, 9, 45, 1, 10, 45, 1, 10, 45, 1, 11,
1853  45, 1, 13, 45, 1, 15, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45,
1854  1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1,
1855  25, 45, 1, 25, 45, 2, 25, 45, 70, 98, 2, 25, 45, 65, 103, 2, 25, 45, 63, 105, 2, 25, 45, 62, 106, 2,
1856  25, 45, 61, 107, 2, 25, 45, 60, 108, 2, 25, 45, 60, 108, 2, 25, 45, 59, 108, 2, 25, 45, 59, 109, 2, 25,
1857  45, 59, 109, 2, 25, 45, 59, 109, 2, 25, 45, 59, 109, 2, 25, 45, 59, 109, 2, 25, 45, 59, 108, 2, 25, 45,
1858  60, 108, 2, 25, 45, 60, 108, 2, 25, 45, 61, 107, 2, 25, 45, 61, 106, 2, 25, 45, 60, 105, 2, 25, 45, 59,
1859  103, 2, 25, 45, 58, 99, 2, 25, 45, 56, 89, 2, 25, 45, 55, 88, 2, 25, 45, 54, 86, 2, 25, 45, 53, 85, 2,
1860  25, 45, 51, 84, 2, 25, 45, 50, 83, 2, 25, 45, 49, 81, 2, 25, 45, 48, 80, 2, 25, 45, 46, 79, 1, 25, 78,
1861  1, 25, 76, 1, 25, 75, 1, 25, 74, 1, 25, 73, 1, 25, 72, 1, 25, 70, 1, 25, 69, 1, 25, 68, 1, 25, 67, 1,
1862  25, 65, 1, 25, 66, 1, 25, 67, 1, 25, 68, 1, 25, 69, 1, 25, 71, 1, 25, 72, 1, 25, 73, 1, 25, 74, 1, 25,
1863  75, 1, 25, 76, 1, 25, 77, 1, 25, 79, 1, 25, 80, 2, 25, 48, 50, 81, 2, 25, 47, 52, 82, 2, 25, 45, 53,
1864  83, 2, 25, 45, 54, 84, 2, 25, 45, 55, 85, 2, 25, 45, 56, 86, 2, 25, 45, 57, 88, 2, 25, 45, 58, 89, 2,
1865  25, 45, 59, 90, 2, 25, 45, 61, 91, 2, 25, 45, 62, 92, 2, 25, 45, 63, 93, 2, 25, 45, 64, 94, 2, 25, 45,
1866  65, 95, 2, 25, 45, 66, 97, 2, 25, 45, 67, 98, 2, 16, 45, 68, 109, 2, 13, 45, 70, 113, 2, 12, 45, 71,
1867  114, 2, 11, 45, 70, 115, 2, 10, 45, 69, 116, 2, 9, 45, 69, 117, 2, 9, 45, 68, 117, 2, 8, 45, 68, 117,
1868  2, 8, 45, 67, 118, 2, 8, 45, 67, 118, 2, 8, 45, 67, 118, 2, 8, 45, 67, 118, 2, 8, 45, 68, 117, 2, 9,
1869  45, 68, 117, 2, 9, 45, 68, 117, 2, 10, 45, 69, 116, 2, 10, 45, 70, 115, 2, 11, 45, 70, 115, 2, 13, 45,
1870  72, 113, 2, 15, 45, 74, 111, 108, 29, 157, 1, 30, 72, 1, 27, 72, 1, 26, 72, 1, 24, 72, 1, 24, 72, 1,
1871  23, 72, 1, 23, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 23, 72, 1, 23,
1872  72, 1, 24, 72, 1, 24, 72, 1, 25, 72, 1, 27, 72, 1, 29, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1873  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1874  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1875  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1876  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1877  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1878  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1879  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1880  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1881  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1882  1, 22, 102, 1, 19, 105, 1, 18, 107, 1, 17, 108, 1, 16, 108, 1, 15, 109, 1, 15, 109, 1, 14, 110, 1, 14,
1883  110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 15, 110, 1, 15, 109, 1, 16, 109, 1, 16, 108,
1884  1, 17, 107, 1, 19, 105, 1, 21, 103, 109, 65, 157, 2, 43, 54, 82, 95, 2, 40, 57, 78, 99, 3, 9, 31, 38,
1885  59, 76, 101, 3, 4, 31, 36, 60, 74, 103, 3, 2, 31, 35, 62, 72, 104, 3, 1, 31, 34, 63, 70, 106, 3, 0, 31,
1886  33, 64, 69, 107, 2, 0, 65, 67, 108, 1, 0, 109, 1, 0, 110, 1, 0, 111, 1, 0, 111, 1, 0, 112, 1, 0, 112,
1887  1, 0, 113, 1, 0, 113, 1, 0, 114, 1, 0, 114, 1, 0, 114, 1, 1, 115, 3, 2, 43, 49, 85, 92, 115, 3, 4, 41,
1888  51, 83, 93, 115, 3, 7, 39, 52, 81, 94, 115, 3, 10, 37, 52, 80, 94, 115, 3, 10, 36, 53, 79, 95, 115, 3,
1889  10, 35, 53, 78, 95, 115, 3, 10, 34, 53, 77, 95, 116, 3, 10, 34, 53, 76, 95, 116, 3, 10, 33, 53, 75, 95,
1890  116, 3, 10, 32, 53, 75, 95, 116, 3, 10, 31, 53, 74, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53,
1891  73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10,
1892  31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116,
1893  3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73,
1894  95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31,
1895  53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116,
1896  3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73,
1897  95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31,
1898  53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116,
1899  3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73,
1900  95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31,
1901  53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 6, 35, 53, 78, 95, 120, 3,
1902  3, 38, 53, 81, 95, 123, 3, 1, 40, 53, 82, 95, 125, 3, 0, 41, 53, 83, 95, 125, 3, 0, 42, 53, 84, 95, 126,
1903  3, 0, 42, 53, 85, 95, 127, 3, 0, 43, 53, 85, 95, 127, 3, 0, 43, 53, 85, 95, 128, 3, 0, 43, 53, 86, 95,
1904  128, 3, 0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 86,
1905  95, 128, 3, 0, 43, 53, 85, 95, 128, 3, 0, 42, 53, 85, 95, 127, 3, 0, 42, 53, 84, 95, 126, 3, 0, 41, 53,
1906  84, 95, 126, 3, 1, 40, 53, 83, 95, 125, 3, 3, 39, 53, 81, 95, 123, 3, 5, 36, 53, 79, 95, 121, 110, 65,
1907  157, 1, 60, 77, 1, 56, 81, 2, 20, 42, 53, 84, 2, 15, 42, 51, 86, 2, 13, 42, 49, 88, 2, 12, 42, 47, 90,
1908  2, 11, 42, 45, 92, 2, 10, 42, 44, 93, 2, 9, 42, 43, 94, 1, 9, 95, 1, 9, 96, 1, 9, 97, 1, 9, 98, 1, 9,
1909  99, 1, 9, 99, 1, 9, 100, 1, 9, 101, 1, 10, 101, 1, 11, 102, 1, 11, 102, 2, 13, 62, 73, 103, 2, 15, 58,
1910  77, 103, 2, 18, 56, 79, 103, 2, 21, 54, 80, 104, 2, 21, 52, 82, 104, 2, 21, 51, 83, 104, 2, 21, 50, 83,
1911  104, 2, 21, 48, 84, 105, 2, 21, 47, 84, 105, 2, 21, 46, 84, 105, 2, 21, 45, 85, 105, 2, 21, 44, 85, 105,
1912  2, 21, 43, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
1913  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
1914  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
1915  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85,
1916  105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
1917  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
1918  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
1919  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 14, 49, 80, 110, 2, 11, 52,
1920  77, 113, 2, 10, 53, 76, 114, 2, 9, 54, 75, 115, 2, 8, 55, 74, 116, 2, 7, 55, 73, 117, 2, 7, 56, 73, 117,
1921  2, 7, 56, 73, 117, 2, 6, 56, 72, 117, 2, 6, 56, 72, 118, 2, 6, 56, 72, 118, 2, 6, 56, 72, 118, 2, 7,
1922  56, 73, 117, 2, 7, 56, 73, 117, 2, 7, 56, 73, 117, 2, 8, 55, 74, 116, 2, 9, 54, 75, 115, 2, 10, 53, 75,
1923  114, 2, 11, 52, 77, 113, 2, 13, 49, 79, 111, 111, 65, 160, 1, 54, 71, 1, 49, 76, 1, 45, 79, 1, 42, 82,
1924  1, 40, 84, 1, 38, 86, 1, 36, 89, 1, 34, 90, 1, 33, 92, 1, 31, 93, 1, 29, 95, 1, 28, 96, 1, 27, 97, 1,
1925  26, 99, 1, 25, 100, 1, 24, 101, 1, 23, 102, 1, 22, 103, 1, 21, 104, 1, 20, 104, 2, 19, 56, 68, 105, 2,
1926  19, 52, 72, 106, 2, 18, 49, 76, 106, 2, 17, 47, 78, 107, 2, 17, 45, 79, 108, 2, 16, 43, 81, 108, 2, 16,
1927  42, 83, 109, 2, 15, 41, 84, 109, 2, 15, 40, 85, 110, 2, 14, 39, 86, 110, 2, 14, 38, 87, 111, 2, 13, 37,
1928  88, 111, 2, 13, 36, 88, 112, 2, 13, 35, 89, 112, 2, 12, 35, 90, 112, 2, 12, 34, 91, 113, 2, 12, 33, 91,
1929  113, 2, 11, 33, 92, 113, 2, 11, 32, 92, 113, 2, 11, 32, 93, 114, 2, 11, 32, 93, 114, 2, 11, 31, 93, 114,
1930  2, 10, 31, 94, 114, 2, 10, 31, 94, 114, 2, 10, 31, 94, 114, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2,
1931  10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10,
1932  30, 94, 115, 2, 10, 31, 94, 114, 2, 10, 31, 94, 114, 2, 10, 31, 93, 114, 2, 11, 32, 93, 114, 2, 11, 32,
1933  93, 114, 2, 11, 32, 92, 114, 2, 11, 33, 91, 113, 2, 11, 34, 91, 113, 2, 12, 34, 90, 113, 2, 12, 35, 89,
1934  112, 2, 13, 36, 89, 112, 2, 13, 37, 88, 112, 2, 13, 38, 87, 111, 2, 14, 39, 86, 111, 2, 14, 40, 85, 110,
1935  2, 15, 41, 83, 110, 2, 15, 43, 82, 109, 2, 16, 44, 80, 109, 2, 16, 46, 78, 108, 2, 17, 48, 76, 108, 2,
1936  18, 51, 74, 107, 2, 18, 55, 70, 106, 1, 19, 106, 1, 20, 105, 1, 21, 104, 1, 22, 103, 1, 23, 102, 1, 24,
1937  101, 1, 25, 100, 1, 26, 99, 1, 27, 98, 1, 28, 96, 1, 30, 95, 1, 31, 93, 1, 33, 92, 1, 35, 90, 1, 37,
1938  88, 1, 39, 86, 1, 41, 83, 1, 44, 80, 1, 47, 77, 1, 52, 73, 112, 65, 200, 1, 59, 76, 1, 54, 81, 2, 11,
1939  37, 51, 84, 2, 6, 37, 48, 87, 2, 4, 37, 46, 89, 2, 2, 37, 43, 91, 2, 2, 37, 42, 93, 2, 1, 37, 40, 95,
1940  2, 0, 37, 38, 96, 1, 0, 98, 1, 0, 99, 1, 0, 100, 1, 0, 101, 1, 0, 102, 1, 0, 103, 1, 0, 104, 1, 0, 105,
1941  1, 1, 106, 1, 1, 107, 1, 2, 108, 2, 4, 62, 73, 109, 2, 6, 57, 77, 109, 2, 10, 54, 80, 110, 2, 17, 52,
1942  82, 111, 2, 17, 51, 83, 111, 2, 17, 49, 85, 112, 2, 17, 48, 86, 112, 2, 17, 47, 87, 113, 2, 17, 46, 88,
1943  113, 2, 17, 45, 90, 114, 2, 17, 44, 90, 114, 2, 17, 43, 91, 115, 2, 17, 42, 92, 115, 2, 17, 41, 93, 115,
1944  2, 17, 41, 93, 116, 2, 17, 40, 94, 116, 2, 17, 40, 94, 116, 2, 17, 39, 95, 116, 2, 17, 39, 95, 117, 2,
1945  17, 38, 96, 117, 2, 17, 38, 96, 117, 2, 17, 38, 96, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17,
1946  37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37,
1947  97, 117, 2, 17, 37, 96, 117, 2, 17, 38, 96, 117, 2, 17, 38, 96, 117, 2, 17, 39, 95, 117, 2, 17, 39, 95,
1948  117, 2, 17, 40, 94, 116, 2, 17, 40, 93, 116, 2, 17, 41, 93, 116, 2, 17, 42, 92, 115, 2, 17, 43, 91, 115,
1949  2, 17, 44, 90, 115, 2, 17, 45, 89, 114, 2, 17, 46, 88, 114, 2, 17, 47, 87, 113, 2, 17, 49, 85, 113, 2,
1950  17, 50, 84, 112, 2, 17, 52, 82, 112, 2, 17, 54, 80, 111, 2, 17, 57, 77, 111, 2, 17, 62, 72, 110, 1, 17,
1951  109, 1, 17, 108, 1, 17, 107, 1, 17, 106, 1, 17, 106, 1, 17, 105, 1, 17, 103, 1, 17, 102, 1, 17, 101,
1952  1, 17, 100, 1, 17, 98, 2, 17, 37, 38, 97, 2, 17, 37, 40, 95, 2, 17, 37, 41, 93, 2, 17, 37, 43, 92, 2,
1953  17, 37, 46, 89, 2, 17, 37, 48, 87, 2, 17, 37, 51, 85, 2, 17, 37, 55, 80, 2, 17, 37, 59, 76, 1, 17, 37,
1954  1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1,
1955  17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17,
1956  37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 10, 52, 1, 6, 57, 1, 4, 59, 1, 2, 60, 1, 1, 61, 1,
1957  1, 61, 1, 0, 62, 1, 0, 62, 1, 0, 62, 1, 0, 63, 1, 0, 63, 1, 0, 63, 1, 0, 62, 1, 0, 62, 1, 0, 62, 1, 1,
1958  61, 1, 1, 61, 1, 2, 60, 1, 4, 59, 1, 6, 56, 1, 11, 51, 113, 65, 200, 1, 49, 67, 1, 45, 72, 2, 41, 75,
1959  89, 115, 2, 39, 78, 89, 120, 2, 37, 80, 89, 122, 2, 34, 82, 89, 123, 2, 33, 84, 89, 124, 2, 31, 86, 89,
1960  125, 2, 30, 87, 89, 125, 1, 28, 126, 1, 27, 126, 1, 26, 126, 1, 25, 126, 1, 23, 126, 1, 22, 126, 1, 21,
1961  126, 1, 21, 125, 1, 20, 125, 1, 19, 124, 1, 18, 123, 2, 17, 54, 65, 122, 2, 16, 49, 69, 120, 2, 16, 46,
1962  71, 116, 2, 15, 44, 73, 109, 2, 14, 43, 75, 109, 2, 14, 41, 77, 109, 2, 13, 39, 78, 109, 2, 13, 38, 79,
1963  109, 2, 12, 38, 80, 109, 2, 12, 37, 81, 109, 2, 11, 36, 82, 109, 2, 11, 35, 83, 109, 2, 11, 34, 84, 109,
1964  2, 10, 33, 84, 109, 2, 10, 33, 85, 109, 2, 10, 32, 86, 109, 2, 10, 31, 86, 109, 2, 9, 31, 86, 109, 2,
1965  9, 30, 87, 109, 2, 9, 30, 87, 109, 2, 9, 30, 88, 109, 2, 9, 29, 88, 109, 2, 9, 29, 88, 109, 2, 9, 29,
1966  89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109,
1967  2, 9, 29, 88, 109, 2, 9, 29, 88, 109, 2, 9, 30, 88, 109, 2, 9, 30, 88, 109, 2, 9, 30, 87, 109, 2, 9,
1968  31, 87, 109, 2, 9, 32, 86, 109, 2, 10, 32, 85, 109, 2, 10, 33, 85, 109, 2, 10, 34, 84, 109, 2, 11, 35,
1969  83, 109, 2, 11, 36, 82, 109, 2, 11, 37, 81, 109, 2, 12, 38, 80, 109, 2, 12, 39, 79, 109, 2, 13, 40, 77,
1970  109, 2, 13, 42, 76, 109, 2, 14, 44, 74, 109, 2, 15, 46, 72, 109, 2, 15, 49, 69, 109, 2, 16, 54, 63, 109,
1971  1, 17, 109, 1, 17, 109, 1, 18, 109, 1, 19, 109, 1, 20, 109, 1, 21, 109, 1, 22, 109, 1, 24, 109, 1, 25,
1972  109, 1, 26, 109, 1, 28, 109, 2, 29, 88, 89, 109, 2, 31, 86, 89, 109, 2, 32, 84, 89, 109, 2, 34, 82, 89,
1973  109, 2, 36, 80, 89, 109, 2, 39, 77, 89, 109, 2, 41, 75, 89, 109, 2, 45, 71, 89, 109, 2, 49, 67, 89, 109,
1974  1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89,
1975  109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109,
1976  1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 73, 116, 1, 69,
1977  120, 1, 67, 122, 1, 66, 123, 1, 65, 124, 1, 64, 125, 1, 64, 125, 1, 64, 126, 1, 63, 126, 1, 63, 126,
1978  1, 63, 126, 1, 63, 126, 1, 63, 126, 1, 64, 126, 1, 64, 125, 1, 65, 125, 1, 65, 124, 1, 66, 123, 1, 67,
1979  122, 1, 69, 120, 1, 74, 115, 114, 65, 157, 1, 85, 98, 1, 81, 101, 2, 28, 58, 79, 103, 2, 23, 58, 77,
1980  106, 2, 21, 58, 74, 107, 2, 20, 58, 73, 109, 2, 19, 58, 71, 110, 2, 18, 58, 69, 111, 2, 17, 58, 68, 113,
1981  2, 17, 58, 66, 114, 2, 17, 58, 65, 115, 2, 17, 58, 63, 115, 2, 17, 58, 62, 116, 2, 17, 58, 60, 116, 2,
1982  17, 58, 59, 117, 1, 17, 117, 1, 17, 117, 1, 18, 117, 1, 19, 117, 1, 19, 117, 2, 21, 89, 94, 117, 2, 23,
1983  86, 96, 116, 2, 27, 84, 98, 116, 2, 38, 82, 99, 115, 2, 38, 80, 100, 114, 2, 38, 79, 101, 113, 2, 38,
1984  77, 103, 111, 2, 38, 76, 107, 108, 1, 38, 74, 1, 38, 73, 1, 38, 72, 1, 38, 70, 1, 38, 69, 1, 38, 68,
1985  1, 38, 66, 1, 38, 65, 1, 38, 64, 1, 38, 63, 1, 38, 61, 1, 38, 60, 1, 38, 59, 1, 38, 58, 1, 38, 58, 1,
1986  38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38,
1987  58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58,
1988  1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1,
1989  38, 58, 1, 20, 92, 1, 17, 95, 1, 16, 97, 1, 14, 98, 1, 14, 99, 1, 13, 99, 1, 13, 100, 1, 12, 100, 1,
1990  12, 100, 1, 12, 100, 1, 12, 100, 1, 12, 100, 1, 12, 100, 1, 13, 100, 1, 13, 99, 1, 13, 99, 1, 14, 98,
1991  1, 15, 97, 1, 17, 96, 1, 19, 93, 115, 65, 160, 1, 52, 72, 1, 47, 77, 2, 43, 81, 94, 96, 2, 41, 84, 91,
1992  99, 2, 38, 86, 89, 100, 1, 36, 101, 1, 34, 102, 1, 33, 103, 1, 31, 103, 1, 30, 103, 1, 28, 104, 1, 27,
1993  104, 1, 26, 104, 1, 25, 104, 1, 25, 104, 1, 24, 104, 1, 23, 104, 1, 23, 104, 1, 22, 104, 1, 22, 104,
1994  2, 21, 55, 69, 104, 2, 21, 50, 73, 104, 2, 21, 47, 76, 104, 2, 21, 44, 79, 104, 2, 21, 43, 81, 104, 2,
1995  20, 41, 83, 104, 2, 20, 41, 84, 104, 2, 20, 40, 84, 104, 2, 20, 41, 85, 103, 2, 20, 41, 85, 103, 2, 20,
1996  42, 86, 102, 2, 21, 44, 87, 101, 2, 21, 46, 88, 100, 2, 21, 49, 90, 98, 1, 21, 55, 1, 22, 62, 1, 22,
1997  68, 1, 22, 74, 1, 23, 79, 1, 23, 83, 1, 24, 86, 1, 25, 89, 1, 26, 91, 1, 26, 93, 1, 27, 95, 1, 28, 96,
1998  1, 30, 98, 1, 31, 99, 1, 33, 100, 1, 35, 101, 1, 37, 102, 1, 40, 103, 1, 44, 104, 1, 48, 104, 1, 54,
1999  105, 1, 62, 106, 1, 69, 106, 1, 75, 106, 2, 24, 29, 79, 107, 2, 21, 31, 82, 107, 2, 20, 33, 84, 108,
2000  2, 19, 34, 85, 108, 2, 18, 34, 86, 108, 2, 18, 35, 87, 108, 2, 17, 35, 88, 108, 2, 17, 36, 88, 108, 2,
2001  17, 36, 88, 109, 2, 17, 37, 88, 108, 2, 16, 38, 87, 108, 2, 16, 40, 86, 108, 2, 16, 41, 85, 108, 2, 16,
2002  43, 83, 108, 2, 16, 46, 81, 108, 2, 16, 49, 77, 107, 2, 16, 53, 73, 107, 1, 16, 107, 1, 16, 106, 1, 16,
2003  106, 1, 16, 105, 1, 16, 104, 1, 16, 104, 1, 16, 103, 1, 16, 102, 1, 17, 101, 1, 17, 99, 1, 17, 98, 1,
2004  18, 96, 1, 18, 95, 1, 19, 93, 1, 20, 92, 2, 21, 32, 36, 89, 2, 23, 30, 38, 87, 1, 41, 84, 1, 45, 80,
2005  1, 50, 75, 116, 36, 160, 1, 43, 51, 1, 41, 53, 1, 40, 54, 1, 39, 55, 1, 38, 56, 1, 38, 56, 1, 38, 56,
2006  1, 37, 56, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1,
2007  37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37,
2008  57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 27, 97, 1, 22, 102, 1, 20, 104, 1, 19,
2009  105, 1, 18, 106, 1, 17, 107, 1, 17, 107, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108,
2010  1, 16, 108, 1, 16, 108, 1, 17, 107, 1, 17, 107, 1, 18, 106, 1, 19, 105, 1, 20, 104, 1, 22, 102, 1, 26,
2011  98, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57,
2012  1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1,
2013  37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37,
2014  57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57,
2015  1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 2, 37, 57, 109, 114, 2, 37, 57, 106,
2016  116, 2, 37, 58, 104, 117, 2, 37, 58, 101, 118, 2, 37, 59, 99, 119, 2, 37, 59, 97, 120, 2, 37, 61, 93,
2017  120, 2, 38, 63, 90, 121, 2, 38, 66, 84, 121, 1, 38, 121, 1, 39, 121, 1, 39, 121, 1, 39, 121, 1, 40, 120,
2018  1, 41, 120, 1, 41, 119, 1, 42, 118, 1, 43, 117, 1, 43, 116, 1, 44, 115, 1, 45, 113, 1, 46, 111, 1, 48,
2019  108, 1, 49, 106, 1, 51, 102, 1, 53, 99, 1, 56, 95, 1, 58, 91, 1, 63, 86, 117, 67, 160, 2, 16, 42, 75,
2020  105, 2, 10, 42, 70, 105, 2, 8, 42, 68, 105, 2, 7, 42, 67, 105, 2, 6, 42, 66, 105, 2, 6, 42, 65, 105,
2021  2, 5, 42, 65, 105, 2, 5, 42, 64, 105, 2, 4, 42, 64, 105, 2, 4, 42, 64, 105, 2, 4, 42, 64, 105, 2, 4,
2022  42, 64, 105, 2, 4, 42, 64, 105, 2, 5, 42, 64, 105, 2, 5, 42, 65, 105, 2, 6, 42, 65, 105, 2, 6, 42, 66,
2023  105, 2, 7, 42, 67, 105, 2, 8, 42, 68, 105, 2, 10, 42, 70, 105, 2, 14, 42, 74, 105, 2, 21, 42, 85, 105,
2024  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
2025  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2026  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
2027  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85,
2028  105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
2029  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
2030  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2031  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 84, 105, 2, 21, 42,
2032  82, 105, 2, 21, 42, 81, 105, 2, 21, 42, 79, 105, 2, 21, 42, 77, 105, 2, 21, 43, 75, 105, 2, 21, 43, 73,
2033  105, 2, 22, 44, 71, 105, 2, 22, 45, 68, 110, 2, 22, 46, 65, 113, 2, 22, 49, 61, 114, 1, 23, 115, 1, 23,
2034  116, 1, 23, 117, 1, 24, 117, 1, 24, 117, 1, 25, 118, 1, 26, 118, 1, 26, 118, 1, 27, 118, 1, 28, 117,
2035  1, 29, 117, 1, 30, 117, 1, 31, 116, 2, 32, 83, 85, 115, 2, 33, 80, 85, 115, 2, 35, 78, 85, 113, 2, 36,
2036  75, 85, 111, 1, 38, 72, 1, 41, 68, 1, 44, 63, 118, 67, 157, 2, 13, 44, 80, 112, 2, 7, 49, 75, 117, 2,
2037  5, 51, 73, 119, 2, 4, 53, 72, 121, 2, 3, 54, 71, 122, 2, 3, 54, 70, 122, 2, 2, 55, 70, 123, 2, 2, 55,
2038  69, 123, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124,
2039  2, 2, 55, 69, 123, 2, 2, 55, 70, 123, 2, 3, 54, 70, 122, 2, 3, 54, 71, 122, 2, 4, 53, 71, 121, 2, 5,
2040  52, 73, 120, 2, 7, 50, 74, 118, 2, 11, 45, 79, 113, 2, 18, 41, 84, 106, 2, 19, 41, 83, 106, 2, 19, 42,
2041  83, 105, 2, 20, 42, 82, 105, 2, 20, 43, 82, 104, 2, 21, 43, 81, 104, 2, 21, 44, 81, 103, 2, 21, 44, 80,
2042  103, 2, 22, 45, 80, 102, 2, 22, 45, 79, 102, 2, 23, 45, 79, 101, 2, 23, 46, 78, 101, 2, 24, 46, 78, 100,
2043  2, 24, 47, 77, 100, 2, 25, 47, 77, 100, 2, 25, 48, 76, 99, 2, 26, 48, 76, 99, 2, 26, 49, 75, 98, 2, 27,
2044  49, 75, 98, 2, 27, 50, 74, 97, 2, 28, 50, 74, 97, 2, 28, 51, 74, 96, 2, 29, 51, 73, 96, 2, 29, 52, 73,
2045  95, 2, 30, 52, 72, 95, 2, 30, 53, 72, 94, 2, 31, 53, 71, 94, 2, 31, 54, 71, 93, 2, 32, 54, 70, 93, 2,
2046  32, 55, 70, 92, 2, 33, 55, 69, 92, 2, 33, 56, 69, 91, 2, 34, 56, 68, 91, 2, 34, 57, 68, 90, 2, 35, 57,
2047  67, 90, 2, 35, 58, 67, 89, 2, 36, 58, 66, 89, 2, 36, 59, 66, 88, 2, 37, 59, 65, 88, 2, 37, 60, 65, 87,
2048  2, 38, 60, 64, 87, 2, 38, 61, 64, 86, 2, 39, 61, 63, 86, 2, 39, 62, 63, 85, 1, 40, 85, 1, 40, 84, 1,
2049  41, 84, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 42, 82, 1, 43, 81, 1, 43, 81, 1, 44, 80, 1, 44, 80, 1, 45,
2050  80, 1, 45, 79, 1, 46, 79, 1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49, 75,
2051  1, 50, 75, 1, 50, 74, 1, 51, 74, 1, 51, 73, 119, 67, 157, 2, 12, 36, 88, 112, 2, 7, 41, 83, 117, 2, 5,
2052  43, 81, 119, 2, 4, 44, 80, 120, 2, 3, 45, 79, 121, 2, 2, 46, 78, 122, 2, 2, 46, 78, 122, 2, 1, 46, 78,
2053  123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2,
2054  1, 46, 78, 123, 2, 2, 46, 78, 123, 2, 2, 46, 78, 122, 2, 3, 45, 79, 121, 2, 4, 44, 80, 121, 2, 5, 43,
2055  81, 119, 2, 7, 41, 82, 117, 3, 11, 37, 53, 71, 87, 113, 3, 12, 33, 53, 72, 92, 112, 3, 13, 33, 52, 72,
2056  91, 112, 3, 13, 33, 52, 73, 91, 112, 3, 13, 34, 51, 73, 91, 112, 3, 13, 34, 51, 73, 91, 111, 3, 13, 34,
2057  51, 74, 90, 111, 3, 14, 34, 50, 74, 90, 111, 3, 14, 35, 50, 74, 90, 111, 3, 14, 35, 49, 75, 90, 110,
2058  3, 14, 35, 49, 75, 89, 110, 3, 15, 35, 49, 76, 89, 110, 3, 15, 36, 48, 76, 89, 110, 3, 15, 36, 48, 76,
2059  89, 109, 3, 15, 36, 48, 77, 88, 109, 3, 16, 36, 47, 77, 88, 109, 3, 16, 37, 47, 78, 88, 109, 3, 16, 37,
2060  46, 78, 88, 108, 3, 16, 37, 46, 78, 87, 108, 3, 17, 37, 46, 79, 87, 108, 3, 17, 38, 45, 79, 87, 108,
2061  3, 17, 38, 45, 79, 87, 108, 3, 17, 38, 45, 80, 86, 107, 3, 18, 38, 44, 80, 86, 107, 3, 18, 39, 44, 81,
2062  86, 107, 3, 18, 39, 43, 81, 86, 107, 3, 18, 39, 43, 81, 85, 106, 3, 19, 39, 43, 82, 85, 106, 3, 19, 40,
2063  42, 82, 85, 106, 3, 19, 40, 42, 83, 85, 106, 3, 19, 40, 41, 83, 84, 105, 3, 20, 40, 41, 83, 84, 105,
2064  2, 20, 40, 41, 105, 1, 20, 105, 2, 20, 62, 63, 104, 2, 21, 61, 63, 104, 2, 21, 61, 64, 104, 2, 21, 61,
2065  64, 104, 2, 21, 60, 64, 103, 2, 22, 60, 65, 103, 2, 22, 59, 65, 103, 2, 22, 59, 66, 103, 2, 22, 59, 66,
2066  103, 2, 23, 58, 66, 102, 2, 23, 58, 67, 102, 2, 23, 57, 67, 102, 2, 23, 57, 68, 102, 2, 24, 57, 68, 101,
2067  2, 24, 56, 68, 101, 2, 24, 56, 69, 101, 2, 24, 56, 69, 101, 2, 24, 55, 70, 100, 2, 25, 55, 70, 100, 2,
2068  25, 54, 70, 100, 2, 25, 54, 71, 100, 2, 25, 54, 71, 99, 2, 26, 53, 72, 99, 2, 26, 53, 72, 99, 2, 26,
2069  53, 72, 99, 2, 26, 52, 73, 98, 2, 27, 52, 73, 98, 2, 27, 51, 74, 98, 2, 27, 51, 74, 98, 2, 27, 51, 74,
2070  97, 2, 28, 50, 75, 97, 2, 28, 50, 75, 97, 2, 28, 50, 76, 97, 2, 28, 49, 76, 97, 2, 29, 49, 76, 96, 2,
2071  29, 48, 77, 96, 120, 67, 157, 2, 21, 44, 80, 103, 2, 16, 49, 75, 109, 2, 14, 51, 73, 111, 2, 12, 53,
2072  72, 112, 2, 11, 54, 71, 113, 2, 11, 54, 70, 113, 2, 10, 55, 70, 114, 2, 10, 55, 69, 114, 2, 10, 55, 69,
2073  115, 2, 9, 55, 69, 115, 2, 9, 55, 69, 115, 2, 10, 55, 69, 115, 2, 10, 55, 69, 114, 2, 10, 55, 69, 114,
2074  2, 10, 55, 70, 114, 2, 11, 54, 70, 113, 2, 11, 53, 71, 113, 2, 12, 53, 72, 112, 2, 14, 52, 73, 111, 2,
2075  15, 50, 74, 109, 2, 19, 51, 73, 105, 2, 21, 52, 72, 103, 2, 22, 53, 71, 102, 2, 23, 54, 70, 101, 2, 25,
2076  56, 69, 100, 2, 26, 57, 68, 98, 2, 27, 58, 66, 97, 2, 28, 59, 65, 96, 2, 29, 60, 64, 95, 2, 30, 62, 63,
2077  94, 1, 32, 93, 1, 33, 91, 1, 34, 90, 1, 35, 89, 1, 36, 88, 1, 37, 87, 1, 39, 86, 1, 40, 84, 1, 41, 83,
2078  1, 42, 82, 1, 43, 81, 1, 44, 80, 1, 46, 78, 1, 47, 77, 1, 45, 78, 1, 44, 80, 1, 43, 81, 1, 42, 82, 1,
2079  41, 83, 1, 40, 84, 1, 39, 85, 1, 38, 87, 1, 36, 88, 1, 35, 89, 1, 34, 90, 1, 33, 91, 1, 32, 92, 2, 31,
2080  61, 63, 94, 2, 30, 60, 64, 95, 2, 28, 59, 65, 96, 2, 27, 58, 66, 97, 2, 26, 57, 67, 98, 2, 25, 55, 69,
2081  99, 2, 24, 54, 70, 101, 2, 23, 53, 71, 102, 2, 22, 52, 72, 103, 2, 21, 51, 73, 104, 2, 19, 50, 74, 105,
2082  2, 18, 48, 76, 106, 2, 17, 47, 77, 108, 2, 14, 48, 76, 111, 2, 11, 51, 74, 114, 2, 9, 52, 73, 115, 2,
2083  8, 53, 71, 117, 2, 7, 54, 71, 117, 2, 7, 54, 70, 118, 2, 6, 55, 70, 118, 2, 6, 55, 69, 119, 2, 6, 55,
2084  69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 70, 119,
2085  2, 6, 54, 70, 118, 2, 7, 54, 70, 118, 2, 8, 53, 71, 117, 2, 9, 52, 72, 116, 2, 10, 51, 74, 114, 2, 13,
2086  48, 76, 112, 121, 67, 200, 2, 17, 40, 84, 108, 2, 12, 45, 79, 113, 2, 10, 47, 77, 115, 2, 8, 48, 76,
2087  116, 2, 7, 49, 75, 117, 2, 7, 50, 74, 118, 2, 6, 50, 74, 118, 2, 6, 51, 74, 119, 2, 6, 51, 73, 119, 2,
2088  6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 74, 119, 2, 6, 50,
2089  74, 118, 2, 7, 50, 74, 118, 2, 8, 49, 75, 117, 2, 8, 48, 76, 117, 2, 10, 47, 77, 115, 2, 11, 45, 79,
2090  114, 2, 15, 41, 83, 109, 2, 16, 39, 85, 108, 2, 17, 39, 85, 108, 2, 17, 40, 84, 107, 2, 18, 40, 84, 107,
2091  2, 18, 41, 83, 106, 2, 19, 41, 83, 106, 2, 19, 42, 82, 105, 2, 20, 42, 82, 105, 2, 20, 43, 81, 104, 2,
2092  21, 43, 81, 104, 2, 21, 44, 80, 103, 2, 22, 44, 80, 103, 2, 22, 45, 79, 102, 2, 23, 45, 79, 102, 2, 23,
2093  46, 78, 101, 2, 24, 46, 78, 101, 2, 24, 47, 77, 100, 2, 25, 47, 77, 100, 2, 25, 48, 76, 99, 2, 26, 48,
2094  76, 99, 2, 26, 49, 75, 98, 2, 27, 49, 75, 98, 2, 27, 50, 74, 97, 2, 28, 50, 74, 97, 2, 28, 51, 73, 96,
2095  2, 29, 51, 73, 96, 2, 29, 52, 72, 95, 2, 30, 52, 72, 95, 2, 30, 53, 71, 94, 2, 31, 53, 71, 93, 2, 31,
2096  54, 70, 93, 2, 32, 55, 70, 92, 2, 32, 55, 69, 92, 2, 33, 56, 69, 91, 2, 33, 56, 68, 91, 2, 34, 57, 68,
2097  90, 2, 34, 57, 67, 90, 2, 35, 58, 67, 89, 2, 35, 58, 66, 89, 2, 36, 59, 66, 88, 2, 36, 59, 65, 88, 2,
2098  37, 60, 65, 87, 2, 37, 60, 64, 87, 2, 38, 61, 64, 86, 2, 38, 61, 63, 86, 2, 39, 62, 63, 85, 1, 39, 85,
2099  1, 40, 84, 1, 41, 84, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 43, 82, 1, 43, 81, 1, 44, 81, 1, 44, 80, 1,
2100  45, 80, 1, 45, 79, 1, 46, 79, 1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49,
2101  75, 1, 50, 75, 1, 50, 74, 1, 51, 74, 1, 50, 73, 1, 50, 73, 1, 49, 72, 1, 49, 72, 1, 48, 71, 1, 48, 71,
2102  1, 47, 70, 1, 47, 70, 1, 46, 69, 1, 46, 69, 1, 45, 68, 1, 45, 68, 1, 44, 67, 1, 44, 67, 1, 43, 66, 1,
2103  43, 66, 1, 42, 65, 1, 42, 65, 1, 41, 64, 1, 41, 64, 1, 40, 63, 1, 40, 63, 1, 16, 66, 1, 11, 71, 1, 10,
2104  73, 1, 8, 74, 1, 7, 75, 1, 7, 76, 1, 6, 76, 1, 6, 76, 1, 6, 77, 1, 6, 77, 1, 5, 77, 1, 6, 77, 1, 6, 77,
2105  1, 6, 76, 1, 6, 76, 1, 7, 76, 1, 7, 75, 1, 8, 74, 1, 10, 73, 1, 12, 71, 1, 17, 66, 122, 67, 157, 1, 21,
2106  105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105,
2107  1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21,
2108  104, 1, 21, 103, 1, 21, 102, 1, 21, 101, 2, 21, 41, 71, 100, 2, 21, 41, 70, 99, 2, 21, 41, 69, 98, 2,
2109  21, 41, 68, 97, 2, 21, 41, 67, 96, 2, 21, 41, 66, 95, 2, 21, 41, 65, 94, 2, 21, 41, 64, 93, 2, 22, 40,
2110  63, 92, 2, 22, 40, 62, 91, 2, 23, 39, 61, 90, 2, 23, 39, 60, 89, 2, 24, 38, 59, 88, 2, 25, 37, 58, 87,
2111  2, 27, 34, 57, 86, 1, 56, 85, 1, 55, 84, 1, 54, 83, 1, 53, 82, 1, 52, 81, 1, 51, 80, 1, 50, 79, 1, 49,
2112  78, 1, 48, 77, 1, 47, 76, 1, 46, 75, 1, 45, 74, 1, 44, 73, 1, 43, 72, 1, 42, 71, 1, 41, 70, 1, 40, 69,
2113  1, 39, 68, 1, 38, 67, 1, 37, 66, 1, 36, 65, 1, 35, 64, 1, 34, 63, 2, 33, 62, 93, 101, 2, 32, 61, 91,
2114  103, 2, 31, 60, 90, 104, 2, 30, 59, 89, 105, 2, 29, 58, 89, 105, 2, 28, 57, 88, 106, 2, 27, 56, 88, 106,
2115  2, 26, 55, 87, 106, 2, 25, 54, 87, 107, 2, 24, 53, 87, 107, 2, 23, 52, 87, 107, 1, 22, 107, 1, 21, 107,
2116  1, 20, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19,
2117  107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107,
2118  1, 19, 107, 123, 29, 189, 1, 74, 80, 1, 70, 84, 1, 68, 85, 1, 66, 86, 1, 64, 87, 1, 63, 88, 1, 62, 88,
2119  1, 61, 89, 1, 60, 89, 1, 59, 89, 1, 58, 89, 1, 57, 89, 1, 56, 89, 1, 56, 88, 1, 55, 88, 1, 55, 88, 1,
2120  54, 87, 1, 54, 86, 1, 54, 85, 1, 53, 83, 1, 53, 80, 1, 53, 75, 1, 52, 74, 1, 52, 74, 1, 52, 73, 1, 52,
2121  73, 1, 52, 73, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2122  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2123  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2124  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2125  1, 52, 72, 1, 52, 72, 1, 51, 72, 1, 51, 72, 1, 50, 72, 1, 46, 72, 1, 42, 71, 1, 40, 71, 1, 38, 71, 1,
2126  37, 70, 1, 37, 70, 1, 36, 69, 1, 36, 69, 1, 36, 68, 1, 36, 67, 1, 35, 67, 1, 35, 67, 1, 36, 67, 1, 36,
2127  68, 1, 36, 69, 1, 36, 69, 1, 37, 70, 1, 37, 70, 1, 38, 71, 1, 40, 71, 1, 42, 71, 1, 46, 72, 1, 49, 72,
2128  1, 51, 72, 1, 51, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2129  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2130  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2131  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2132  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 73, 1, 52, 73, 1, 52, 73, 1, 52, 73, 1, 53,
2133  74, 1, 53, 76, 1, 53, 80, 1, 53, 84, 1, 54, 85, 1, 54, 86, 1, 54, 87, 1, 55, 88, 1, 55, 88, 1, 56, 88,
2134  1, 57, 89, 1, 57, 89, 1, 58, 89, 1, 59, 89, 1, 60, 89, 1, 61, 89, 1, 62, 88, 1, 63, 88, 1, 64, 87, 1,
2135  66, 86, 1, 68, 85, 1, 70, 84, 1, 74, 81, 124, 29, 189, 1, 60, 64, 1, 57, 67, 1, 56, 69, 1, 55, 69, 1,
2136  54, 70, 1, 53, 71, 1, 53, 71, 1, 53, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2137  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2138  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2139  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2140  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2141  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2142  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2143  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2144  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2145  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2146  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2147  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2148  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2149  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2150  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2151  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 53, 72, 1, 53,
2152  71, 1, 53, 71, 1, 54, 71, 1, 55, 70, 1, 56, 69, 1, 57, 67, 1, 59, 65, 125, 29, 189, 1, 43, 49, 1, 40,
2153  53, 1, 38, 56, 1, 37, 58, 1, 37, 59, 1, 36, 61, 1, 35, 62, 1, 35, 63, 1, 35, 64, 1, 35, 65, 1, 35, 66,
2154  1, 35, 66, 1, 35, 67, 1, 35, 68, 1, 36, 68, 1, 36, 69, 1, 37, 69, 1, 38, 70, 1, 39, 70, 1, 40, 70, 1,
2155  44, 71, 1, 48, 71, 1, 50, 71, 1, 50, 71, 1, 51, 71, 1, 51, 71, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51,
2156  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2157  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2158  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51,
2159  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 73,
2160  1, 52, 74, 1, 52, 77, 1, 52, 82, 1, 53, 84, 1, 53, 85, 1, 53, 86, 1, 54, 87, 1, 54, 87, 1, 55, 88, 1,
2161  56, 88, 1, 56, 88, 1, 57, 88, 1, 57, 88, 1, 56, 88, 1, 56, 88, 1, 55, 88, 1, 54, 87, 1, 54, 87, 1, 53,
2162  86, 1, 53, 85, 1, 52, 84, 1, 52, 82, 1, 52, 78, 1, 52, 74, 1, 52, 73, 1, 52, 73, 1, 52, 72, 1, 51, 72,
2163  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2164  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51,
2165  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2166  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2167  51, 72, 1, 51, 72, 1, 51, 71, 1, 51, 71, 1, 50, 71, 1, 50, 71, 1, 48, 71, 1, 44, 71, 1, 40, 70, 1, 39,
2168  70, 1, 38, 70, 1, 37, 69, 1, 36, 69, 1, 36, 68, 1, 35, 68, 1, 35, 67, 1, 35, 67, 1, 35, 66, 1, 35, 65,
2169  1, 35, 64, 1, 35, 63, 1, 35, 62, 1, 36, 61, 1, 37, 59, 1, 37, 58, 1, 38, 56, 1, 40, 53, 1, 43, 50, 126,
2170  79, 121, 1, 38, 50, 1, 36, 53, 1, 33, 56, 1, 32, 57, 1, 30, 59, 1, 28, 60, 2, 27, 61, 98, 102, 2, 26,
2171  63, 96, 105, 2, 25, 64, 94, 107, 2, 24, 65, 93, 108, 2, 23, 66, 92, 109, 2, 22, 67, 92, 109, 2, 21, 68,
2172  91, 110, 2, 20, 69, 90, 110, 2, 19, 70, 89, 110, 2, 18, 71, 88, 110, 2, 17, 72, 87, 111, 2, 17, 74, 86,
2173  110, 2, 16, 75, 85, 110, 2, 15, 76, 84, 110, 3, 15, 42, 46, 77, 83, 110, 2, 14, 41, 48, 109, 2, 14, 40,
2174  49, 108, 2, 14, 39, 50, 108, 2, 14, 38, 51, 107, 2, 14, 37, 52, 106, 2, 14, 36, 53, 105, 2, 14, 35, 55,
2175  105, 2, 14, 34, 56, 104, 2, 15, 33, 57, 103, 2, 15, 32, 58, 102, 2, 16, 31, 59, 101, 2, 17, 30, 60, 100,
2176  2, 18, 29, 61, 99, 2, 20, 27, 63, 98, 1, 64, 97, 1, 65, 95, 1, 67, 94, 1, 69, 92, 1, 71, 90, 1, 73, 88,
2177  1, 79, 84,
2178  };
2179 
2180  return Load(data, sizeof(data));
2181  }
2182 
2183  void LoadTTF(const std::string & filename)
2184  {
2185 #if (VISP_CXX_STANDARD > VISP_CXX_STANDARD_98)
2186  std::ifstream fontFile(filename.c_str(), std::ios::binary |std::ios::ate);
2187  fontFile >> std::noskipws;
2188 
2189  std::streampos fileSize = fontFile.tellg();
2190  fontFile.seekg(0, std::ios::beg);
2191 
2192  fontBuffer.clear();
2193  fontBuffer.reserve(fileSize);
2194 
2195  std::copy(std::istream_iterator<unsigned char>(fontFile),
2196  std::istream_iterator<unsigned char>(),
2197  std::back_inserter(fontBuffer));
2198 #else
2199  // for compatibility with old platform (e.g. Ubuntu 12.04)
2200  FILE* fontFile = fopen(filename.c_str(), "rb");
2201  if (!fontFile) {
2202  fclose(fontFile);
2203  throw vpIoException(vpIoException::ioError, "Cannot open TTF file: %s", filename.c_str());
2204  }
2205 
2206  fseek(fontFile, 0, SEEK_END);
2207  size_t fileSize = ftell(fontFile); /* how long is the file? */
2208  fseek(fontFile, 0, SEEK_SET); /* reset */
2209 
2210  fontBuffer.resize(fileSize);
2211  if (fread(&fontBuffer[0], sizeof(unsigned char), fontBuffer.size(), fontFile) != fontBuffer.size()) {
2212  fclose(fontFile);
2213  throw vpIoException(vpIoException::ioError, "Error when reading the font file.");
2214  }
2215  fclose(fontFile);
2216 #endif
2217 
2218  /* prepare font */
2219  if (!stbtt_InitFont(&_info, fontBuffer.data(), 0)) {
2220  throw vpIoException(vpIoException::ioError, "Error when initializing the font data.");
2221  }
2222  }
2223 
2224  void ToUTF32(const std::string & str, std::vector<unsigned int> & utf32)
2225  {
2226  // convert UTF8 to UTF32
2227  utf32.clear();
2228  for (size_t i = 0; i < str.size(); i++) {
2229  unsigned char ch = (unsigned char)str[i];
2230  unsigned int charcode;
2231  if ( ch <= 127 ) {
2232  charcode = ch;
2233  } else if (ch <= 223 && i+1 < str.size() && (str[i+1] & 0xc0) == 0x80) {
2234  charcode = ((ch & 31) << 6) | (str[i+1] & 63);
2235  i++;
2236  } else if (ch <= 239 && i+2 < str.size() && (str[i+1] & 0xc0) == 0x80 && (str[i+2] & 0xc0) == 0x80) {
2237  charcode = ((ch & 15) << 12) | ((str[i+1] & 63) << 6) | (str[i+2] & 63);
2238  i += 2;
2239  } else if (ch <= 247 && i+3 < str.size() && (str[i+1] & 0xc0) == 0x80 && (str[i+2] & 0xc0) == 0x80 && (str[i+3] & 0xc0) == 0x80) {
2240  int val = (int)(((ch & 15) << 18) | ((str[i+1] & 63) << 12) | ((str[i+2] & 63) << 6) | (str[i+3] & 63));
2241  if (val > 1114111) {
2242  val = 65533;
2243  }
2244  charcode = val;
2245  i += 3;
2246  } else {
2247  charcode = 65533;
2248  while (i+1 < str.size() && (str[i+1] & 0xc0) == 0x80) {
2249  i++;
2250  }
2251  }
2252  utf32.push_back(charcode);
2253  }
2254  }
2255 };
2256 #endif // DOXYGEN_SHOULD_SKIP_THIS
2257 
2258 
2268 vpFont::vpFont(unsigned int height, const vpFontFamily & fontFamily, const std::string & ttfFilename)
2269  : m_impl(new Impl(height, fontFamily, ttfFilename))
2270 {
2271 }
2272 
2276 vpFont::~vpFont()
2277 {
2278  delete m_impl;
2279 }
2280 
2291 bool vpFont::drawText(vpImage<unsigned char> & I, const std::string & text, const vpImagePoint & position,
2292  unsigned char color) const
2293 {
2294  return m_impl->Draw(I, text, position, color);
2295 }
2296 
2308 bool vpFont::drawText(vpImage<unsigned char> & I, const std::string & text, const vpImagePoint & position,
2309  unsigned char color, unsigned char background) const
2310 {
2311  return m_impl->Draw(I, text, position, color, background);
2312 }
2313 
2324 bool vpFont::drawText(vpImage<vpRGBa> & I, const std::string & text, const vpImagePoint & position,
2325  const vpColor & color) const
2326 {
2327  return m_impl->Draw(I, text, position, color);
2328 }
2329 
2341 bool vpFont::drawText(vpImage<vpRGBa> & I, const std::string & text, const vpImagePoint & position,
2342  const vpColor & color, const vpColor & background) const
2343 {
2344  return m_impl->Draw(I, text, position, color, background);
2345 }
2346 
2352 unsigned int vpFont::getHeight() const
2353 {
2354  return static_cast<unsigned int>(m_impl->Height());
2355 }
2356 
2362 vpImagePoint vpFont::getMeasure(const std::string & text) const
2363 {
2364  return m_impl->Measure2(text);
2365 }
2366 
2374 bool vpFont::setHeight(unsigned int height)
2375 {
2376  return m_impl->Resize(height);
2377 }
vpFont::vpFontFamily
vpFontFamily
Definition: vpFont.h:58
vpImage::resize
void resize(unsigned int h, unsigned int w)
resize the image : Image initialization
Definition: vpImage.h:800
vpRGBa::B
unsigned char B
Blue component.
Definition: vpRGBa.h:150
vpColor
Class to define RGB colors available for display functionnalities.
Definition: vpColor.h:157
vpException
error that can be emited by ViSP classes.
Definition: vpException.h:71
vpFont::setHeight
bool setHeight(unsigned int height)
Definition: vpFont.cpp:2374
vpFont::vpFont
vpFont(unsigned int height=16, const vpFontFamily &fontFamily=TRUETYPE_FILE, const std::string &ttfFilename=std::string(VISP_RUBIK_REGULAR_FONT_RESOURCES))
Definition: vpFont.cpp:2268
vpIoException
Error that can be emited by the vpIoTools class and its derivates.
Definition: vpIoException.h:72
vpRGBa::G
unsigned char G
Green component.
Definition: vpRGBa.h:149
vpRGBa
Definition: vpRGBa.h:66
vpFont::getHeight
unsigned int getHeight() const
Definition: vpFont.cpp:2352
vpImagePoint::get_u
double get_u() const
Definition: vpImagePoint.h:262
vpIoTools::splitChain
static std::vector< std::string > splitChain(const std::string &chain, const std::string &sep)
Definition: vpIoTools.cpp:1900
vpImage::insert
void insert(const vpImage< Type > &src, const vpImagePoint &topLeft)
Definition: vpImage.h:1115
vpFont::~vpFont
~vpFont()
Definition: vpFont.cpp:2276
vpMath::round
static int round(double x)
Definition: vpMath.h:247
vpImage::getHeight
unsigned int getHeight() const
Definition: vpImage.h:188
stbtt_fontinfo::data
unsigned char * data
Definition: stb_truetype.h:716
stbtt_fontinfo
Definition: stb_truetype.h:713
vpRGBa::R
unsigned char R
Red component.
Definition: vpRGBa.h:148
vpIoTools::checkFilename
static bool checkFilename(const std::string &filename)
Definition: vpIoTools.cpp:802
vpRect
Defines a rectangle in the plane.
Definition: vpRect.h:79
vpImagePoint
Class that defines a 2D point in an image. This class is useful for image processing and stores only ...
Definition: vpImagePoint.h:87
vpFont::getMeasure
vpImagePoint getMeasure(const std::string &text) const
Definition: vpFont.cpp:2362
vpImage::getWidth
unsigned int getWidth() const
Definition: vpImage.h:246
vpFont::drawText
bool drawText(vpImage< unsigned char > &I, const std::string &text, const vpImagePoint &position, unsigned char color) const
Definition: vpFont.cpp:2291
vpImagePoint::get_v
double get_v() const
Definition: vpImagePoint.h:273
vpImageTools::resize
static void resize(const vpImage< Type > &I, vpImage< Type > &Ires, unsigned int width, unsigned int height, const vpImageInterpolationType &method=INTERPOLATION_NEAREST, unsigned int nThreads=0)
Definition: vpImageTools.h:1060