Visual Servoing Platform  version 3.6.1 under development (2024-07-27)
vpFont.cpp
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30  *
31  * Description:
32  * Draw text in an image.
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34 *****************************************************************************/
35 // Contains code from:
36 /*
37  * Simd Library (http://ermig1979.github.io/Simd).
38  *
39  * Copyright (c) 2011-2017 Yermalayeu Ihar.
40  *
41  * Permission is hereby granted, free of charge, to any person obtaining a copy
42  * of this software and associated documentation files (the "Software"), to deal
43  * in the Software without restriction, including without limitation the rights
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45  * copies of the Software, and to permit persons to whom the Software is
46  * furnished to do so, subject to the following conditions:
47  *
48  * The above copyright notice and this permission notice shall be included in
49  * all copies or substantial portions of the Software.
50  *
51  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
52  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
53  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
54  * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
55  * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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 #include <iterator>
65 #include "private/Font.hpp"
66 
67 #define STB_TRUETYPE_IMPLEMENTATION
68 #include "private/stb_truetype.h"
69 
70 BEGIN_VISP_NAMESPACE
71 #ifndef DOXYGEN_SHOULD_SKIP_THIS
72 class vpFont::Impl
73 {
74 private:
75  typedef Font::Point<int> Point;
76  typedef std::string String;
77  typedef Font::Rectangle<int> Rect;
78  typedef std::vector<Rect> Rects;
79  typedef std::vector<Point> Points;
80 
81 public:
90  Impl(unsigned int height = 16, const vpFontFamily &fontFamily = TRUETYPE_FILE,
91  const std::string &ttfFilename = std::string(VISP_RUBIK_REGULAR_FONT_RESOURCES))
92  {
93  _fontHeight = height;
94  _ttfFamily = fontFamily;
95 
96  switch (_ttfFamily) {
97  case GENERIC_MONOSPACE: {
98  LoadDefault();
99  Resize(height);
100  break;
101  }
102  case TRUETYPE_FILE: {
103  std::vector<std::string> ttfs = vpIoTools::splitChain(ttfFilename, ";");
104  std::string ttf_file = "";
105  for (size_t i = 0; i < ttfs.size(); i++) {
106  if (vpIoTools::checkFilename(ttfs[i])) {
107  ttf_file = ttfs[i];
108  break;
109  }
110  }
111  if (ttf_file.empty()) {
112  throw(vpException(vpException::fatalError, "True type font file doesn't exist in %s", ttfFilename.c_str()));
113  }
114 
115  LoadTTF(ttf_file);
116 
117  /* calculate font scaling */
118  _fontScale = stbtt_ScaleForPixelHeight(&_info, static_cast<float>(_fontHeight));
119 
120  int lineGap = 0;
121  stbtt_GetFontVMetrics(&_info, &_fontAscent, &_fontDescent, &lineGap);
122 
123  _fontAscent = vpMath::round(_fontAscent * _fontScale);
124  _fontDescent = vpMath::round(_fontDescent * _fontScale);
125 
126  break;
127  }
128  }
129  }
130 
138  bool Resize(unsigned int height)
139  {
140  _fontHeight = height;
141 
142  switch (_ttfFamily) {
143  case GENERIC_MONOSPACE: {
144  if (height == static_cast<unsigned int>(_currentSize.y)) {
145  return true;
146  }
147 
148  if (height < 4u || height > static_cast<unsigned int>(_originalSize.y * 4)) {
149  return false;
150  }
151 
152  _currentSize.y = static_cast<int>(height);
153  _currentSize.x = static_cast<int>(height) * _originalSize.x / _originalSize.y;
154  _currentIndent.x = static_cast<int>(height) * _originalIndent.x / _originalSize.y;
155  _currentIndent.y = static_cast<int>(height) * _originalIndent.y / _originalSize.y;
156 
157  size_t level = 0;
158  for (; (height << (level + 1)) < static_cast<size_t>(_originalSize.y); level++)
159  ;
160 
161  _currentSymbols.resize(_originalSymbols.size());
162  for (size_t i = 0; i < _originalSymbols.size(); i++) {
163  _currentSymbols[i].value = _originalSymbols[i].value;
164  _currentSymbols[i].image.resize(static_cast<unsigned int>(_currentSize.y),
165  static_cast<unsigned int>(_currentSize.x));
166  vpImageTools::resize(_originalSymbols[i].image, _currentSymbols[i].image, vpImageTools::INTERPOLATION_LINEAR);
167  }
168 
169  break;
170  }
171 
172  case TRUETYPE_FILE:
173  break;
174  }
175 
176  return true;
177  }
178 
184  int Height() const { return _fontHeight; }
185 
193  Point Measure(const String &text)
194  {
195  switch (_ttfFamily) {
196  case GENERIC_MONOSPACE: {
197  Point size, curr;
198  for (size_t i = 0; i < text.size(); i++) {
199  if (text[i] >= _symbolMin && text[i] <= _symbolMax) {
200  curr.x += _currentSize.x;
201  size.x = std::max<int>(size.x, curr.x);
202  size.y = std::max<int>(size.y, curr.y + _currentSize.y);
203  }
204  else if (text[i] == '\n') {
205  curr.x = 0;
206  curr.y += _currentSize.y;
207  }
208  }
209  return size.x ? size + 2 * _currentIndent : Point();
210  }
211 
212  case TRUETYPE_FILE: {
213  ToUTF32(text, _wordUTF32);
214 
215  _bb = vpRect(std::numeric_limits<double>::max(), std::numeric_limits<double>::max(), -1, -1);
216  _ax_vec.clear();
217  _lsb_vec.clear();
218  _bb_vec.clear();
219  _y_vec.clear();
220 
221  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
222 
223  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
224  /* how wide is this character */
225  int ax = 0;
226  int lsb = 0;
227  stbtt_GetCodepointHMetrics(&_info, _wordUTF32[i], &ax, &lsb);
228  _ax_vec.push_back(ax);
229  _lsb_vec.push_back(lsb);
230  /* (Note that each Codepoint call has an alternative Glyph version which caches the work required to lookup the
231  * character word[i].) */
232 
233  /* get bounding box for character (may be offset to account for chars that dip above or below the line */
234  int c_x1 = 0, c_y1 = 0, c_x2 = 0, c_y2 = 0;
235  stbtt_GetCodepointBitmapBox(&_info, _wordUTF32[i], _fontScale, _fontScale, &c_x1, &c_y1, &c_x2, &c_y2);
236  _bb_vec.push_back(vpRect(c_x1, c_y1, c_x2 - c_x1, c_y2 - c_y1));
237 
238  /* compute y (different characters have different heights */
239  int y = _fontAscent + c_y1;
240  _y_vec.push_back(y);
241 
242  int d_x = x + vpMath::round(lsb * _fontScale);
243  int d_y = y;
244  int d_w = (c_x2 - c_x1);
245  int d_h = (c_y2 - c_y1);
246  _bb.setLeft(_bb.getLeft() > d_x ? d_x : _bb.getLeft());
247  _bb.setTop(_bb.getTop() > d_y ? d_y : _bb.getTop());
248 
249  _bb.setWidth(d_x + d_w - _bb.getLeft());
250  _bb.setBottom(_bb.getBottom() < d_y + d_h ? d_y + d_h : _bb.getBottom());
251 
252  /* advance x */
253  x += vpMath::round(ax * _fontScale);
254 
255  /* add kerning */
256  int kern = 0;
257  if (i < wordUTF32_size - 1) {
258  kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
259  x += vpMath::round(kern * _fontScale);
260  }
261  }
262 
263  Point bb;
264  bb.x = static_cast<int>(_bb.getWidth());
265  bb.y = static_cast<int>(_bb.getHeight());
266 
267  return bb;
268  }
269  }
270 
271  return Point();
272  }
273 
277  vpImagePoint Measure2(const String &text)
278  {
279  Point mes = Measure(text);
280  return vpImagePoint(mes.y, mes.x);
281  }
282 
293  bool Draw(vpImage<unsigned char> &canvas, const String &text, const vpImagePoint &position, unsigned char color)
294  {
295  switch (_ttfFamily) {
296  case GENERIC_MONOSPACE: {
297  Rect canvasRect, alphaRect;
298  CreateAlpha(text, Rect(0, 0, canvas.getWidth(), canvas.getHeight()), Point(position.get_u(), position.get_v()),
299  _alpha, canvasRect, alphaRect);
300 
301  if (_alpha.getSize()) {
302  for (int i = 0; i < alphaRect.Height(); i++) {
303  int dstY = canvasRect.Top() + i;
304  for (int j = 0; j < alphaRect.Width(); j++) {
305  unsigned int dstX = static_cast<unsigned int>(canvasRect.Left() + j);
306 
307  // dst[x, y, c] = (pixel[c]*_alpha[x, y] + dst[x, y, c]*(255 - _alpha[x, y]))/255;
308  int coeff = 255 - _alpha[i][j];
309  unsigned char gray = static_cast<unsigned char>((color * _alpha[i][j] + coeff * canvas[dstY][dstX]) / 255);
310  canvas[dstY][dstX] = gray;
311  }
312  }
313  }
314 
315  break;
316  }
317 
318  case TRUETYPE_FILE: {
319  Measure(text);
320  // Try to resize only if new size is bigger
321  _fontBuffer.resize(std::max<unsigned int>(_fontBuffer.getHeight(), static_cast<unsigned int>(_bb.getBottom() + 1)),
322  std::max<unsigned int>(_fontBuffer.getWidth(), static_cast<unsigned int>(_bb.getRight() + 1)));
323 
324  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
325 
326  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
327  /* render character (stride and offset is important here) */
328  int byteOffset = x + vpMath::round(_lsb_vec[i] * _fontScale) + (_y_vec[i] * _fontBuffer.getWidth());
329  stbtt_MakeCodepointBitmap(&_info, _fontBuffer.bitmap + byteOffset, static_cast<int>(_bb_vec[i].getWidth()),
330  static_cast<int>(_bb_vec[i].getHeight()), _fontBuffer.getWidth(), _fontScale,
331  _fontScale, _wordUTF32[i]);
332 
333  int d_x = x + vpMath::round(_lsb_vec[i] * _fontScale);
334  int d_y = _y_vec[i];
335  int d_w = static_cast<int>(_bb_vec[i].getWidth());
336  int d_h = static_cast<int>(_bb_vec[i].getHeight());
337 
338  for (int y = d_y; y < d_y + d_h; y++) {
339  int dstY = static_cast<int>(position.get_v() + y - _bb.getTop());
340 
341  for (int x = d_x; x < d_x + d_w; x++) {
342  unsigned int dstX = static_cast<unsigned int>(position.get_u() + x - _bb.getLeft());
343 
344  int coeff = 255 - _fontBuffer[y][x];
345  unsigned char gray =
346  static_cast<unsigned char>((color * _fontBuffer[y][x] + coeff * canvas[dstY][dstX]) / 255);
347  canvas[dstY][dstX] = gray;
348  }
349  }
350 
351  /* advance x */
352  x += vpMath::round(_ax_vec[i] * _fontScale);
353 
354  /* add kerning */
355  if (i < wordUTF32_size - 1) {
356  int kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
357  x += vpMath::round(kern * _fontScale);
358  }
359  }
360 
361  break;
362  }
363  }
364 
365  return true;
366  }
367 
379  bool Draw(vpImage<unsigned char> &canvas, const String &text, const vpImagePoint &position, unsigned char color,
380  unsigned char background)
381  {
382  Rect canvasRect = Rect(Measure(text)).Shifted(position.get_u(), position.get_v());
383  for (int i = canvasRect.Top(); i < canvasRect.Bottom(); i++) {
384  for (int j = canvasRect.Left(); j < canvasRect.Right(); j++) {
385  canvas[i][j] = background;
386  }
387  }
388  return Draw(canvas, text, position, color);
389  }
390 
401  bool Draw(vpImage<vpRGBa> &canvas, const String &text, const vpImagePoint &position, const vpColor &color)
402  {
403  switch (_ttfFamily) {
404  case GENERIC_MONOSPACE: {
405  Rect canvasRect, alphaRect;
406  CreateAlpha(text, Rect(0, 0, canvas.getWidth(), canvas.getHeight()), Point(position.get_u(), position.get_v()),
407  _alpha, canvasRect, alphaRect);
408 
409  if (_alpha.getSize()) {
410  for (int i = 0; i < alphaRect.Height(); i++) {
411  int dstY = canvasRect.Top() + i;
412  for (int j = 0; j < alphaRect.Width(); j++) {
413  unsigned int dstX = static_cast<unsigned int>(canvasRect.Left() + j);
414 
415  // dst[x, y, c] = (pixel[c]*_alpha[x, y] + dst[x, y, c]*(255 - _alpha[x, y]))/255;
416  int coeff = 255 - _alpha[i][j];
417  int R = (color.R * _alpha[i][j] + coeff * canvas[dstY][dstX].R) / 255;
418  int G = (color.G * _alpha[i][j] + coeff * canvas[dstY][dstX].G) / 255;
419  int B = (color.B * _alpha[i][j] + coeff * canvas[dstY][dstX].B) / 255;
420  canvas[dstY][dstX] =
421  vpRGBa(static_cast<unsigned char>(R), static_cast<unsigned char>(G), static_cast<unsigned char>(B));
422  }
423  }
424  }
425 
426  break;
427  }
428 
429  case TRUETYPE_FILE: {
430  Measure(text);
431  // Try to resize only if new size is bigger
432  _fontBuffer.resize(std::max<unsigned int>(_fontBuffer.getHeight(), static_cast<unsigned int>(_bb.getBottom() + 1)),
433  std::max<unsigned int>(_fontBuffer.getWidth(), static_cast<unsigned int>(_bb.getRight() + 1)));
434 
435  int wordUTF32_size = static_cast<int>(_wordUTF32.size());
436 
437  for (int i = 0, x = 0; i < wordUTF32_size; i++) {
438  /* render character (stride and offset is important here) */
439  int byteOffset = x + vpMath::round(_lsb_vec[i] * _fontScale) + (_y_vec[i] * _fontBuffer.getWidth());
440  stbtt_MakeCodepointBitmap(&_info, _fontBuffer.bitmap + byteOffset, static_cast<int>(_bb_vec[i].getWidth()),
441  static_cast<int>(_bb_vec[i].getHeight()), _fontBuffer.getWidth(), _fontScale,
442  _fontScale, _wordUTF32[i]);
443 
444  int d_x = x + vpMath::round(_lsb_vec[i] * _fontScale);
445  int d_y = _y_vec[i];
446  int d_w = static_cast<int>(_bb_vec[i].getWidth());
447  int d_h = static_cast<int>(_bb_vec[i].getHeight());
448 
449  for (int y = d_y; y < d_y + d_h; y++) {
450  int dstY = static_cast<int>(position.get_v() + y - _bb.getTop());
451 
452  for (int x = d_x; x < d_x + d_w; x++) {
453  unsigned int dstX = static_cast<unsigned int>(position.get_u() + x - _bb.getLeft());
454 
455  int coeff = 255 - _fontBuffer[y][x];
456  int R = (color.R * _fontBuffer[y][x] + coeff * canvas[dstY][dstX].R) / 255;
457  int G = (color.G * _fontBuffer[y][x] + coeff * canvas[dstY][dstX].G) / 255;
458  int B = (color.B * _fontBuffer[y][x] + coeff * canvas[dstY][dstX].B) / 255;
459  canvas[dstY][dstX] =
460  vpRGBa(static_cast<unsigned char>(R), static_cast<unsigned char>(G), static_cast<unsigned char>(B));
461  }
462  }
463 
464  /* advance x */
465  x += vpMath::round(_ax_vec[i] * _fontScale);
466 
467  /* add kerning */
468  if (i < wordUTF32_size - 1) {
469  int kern = stbtt_GetCodepointKernAdvance(&_info, _wordUTF32[i], _wordUTF32[i + 1]);
470  x += vpMath::round(kern * _fontScale);
471  }
472  }
473 
474  break;
475  }
476  }
477 
478  return true;
479  }
480 
492  bool Draw(vpImage<vpRGBa> &canvas, const String &text, const vpImagePoint &position, const vpColor &color,
493  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,
534  Rect &canvasRect, Rect &alphaRect) const
535  {
536  Rects rects;
537  rects.reserve(text.size());
538  String symbols;
539  symbols.reserve(text.size());
540  Point curr;
541  for (size_t i = 0; i < text.size(); i++) {
542  char value = text[i];
543  if (value >= _symbolMin && value <= _symbolMax) {
544  Rect current(curr, curr + _currentSize);
545  Rect shifted = current.Shifted(shift + _currentIndent);
546  if (!canvas.Intersection(shifted).Empty()) {
547  alphaRect |= current;
548  canvasRect |= shifted;
549  rects.push_back(current);
550  symbols.push_back(value);
551  }
552  curr.x += _currentSize.x;
553  }
554  else if (value == '\n') {
555  curr.x = 0;
556  curr.y += _currentSize.y;
557  }
558  }
559 
560  alpha.resize(static_cast<unsigned int>(alphaRect.Size().y), static_cast<unsigned int>(alphaRect.Size().x), 0);
561  for (size_t i = 0; i < symbols.size(); i++) {
562  Rect r = rects[i].Shifted(-alphaRect.TopLeft());
563  alpha.insert(_currentSymbols[static_cast<size_t>(symbols[i] - _symbolMin)].image,
564  vpImagePoint(r.Top(), r.Left()));
565  }
566  Rect old = canvasRect;
567  canvasRect &= canvas;
568  alphaRect.Shift(-alphaRect.TopLeft());
569  alphaRect.left += canvasRect.left - old.left;
570  alphaRect.top += canvasRect.top - old.top;
571  alphaRect.right += canvasRect.right - old.right;
572  alphaRect.bottom += canvasRect.bottom - old.bottom;
573  }
574 
575  uint8_t LoadValue(const uint8_t *&data, size_t &size)
576  {
577  if (size == 0) {
578  throw;
579  }
580  size--;
581  return *data++;
582  }
583 
584  bool Load(const uint8_t *data, size_t size)
585  {
586  try {
587  _symbolMin = static_cast<char>(LoadValue(data, size));
588  _symbolMax = static_cast<char>(LoadValue(data, size));
589  _originalSize.x = LoadValue(data, size);
590  _originalSize.y = LoadValue(data, size);
591  _originalIndent.x = LoadValue(data, size);
592  _originalIndent.y = LoadValue(data, size);
593  _originalSymbols.resize(static_cast<size_t>(_symbolMax - _symbolMin));
594  for (char s = _symbolMin; s < _symbolMax; s++) {
595  Symbol &symbol = _originalSymbols[static_cast<size_t>(s - _symbolMin)];
596  symbol.value = static_cast<char>(LoadValue(data, size));
597  if (symbol.value != s) {
598  throw;
599  }
600 
601  symbol.image.resize(static_cast<unsigned int>(_originalSize.y), static_cast<unsigned int>(_originalSize.x), 0);
602  size_t top = LoadValue(data, size);
603  size_t bottom = LoadValue(data, size);
604  for (size_t r = top; r < bottom; r++) {
605  size_t count = LoadValue(data, size);
606  for (size_t l = 0; l < count; l++) {
607  size_t left = LoadValue(data, size);
608  size_t right = LoadValue(data, size);
609  assert(left < right);
610  memset(symbol.image[static_cast<unsigned int>(r)] + left, 0xFF, right - left);
611  }
612  }
613  }
614  }
615  catch (...) {
616  _originalSize = Point();
617  _originalSymbols.clear();
618  return false;
619  }
620  return true;
621  }
622 
623  bool LoadDefault()
624  {
625  static const uint8_t data[] = {
626  32, 127, 127, 231, 33, 12, 32, 0, 0, 33, 26, 160, 1, 57, 66, 1, 54, 69, 1, 52, 70, 1,
627  51, 72, 1, 50, 73, 1, 49, 74, 1, 48, 75, 1, 48, 75, 1, 47, 76, 1, 47, 76, 1, 46,
628  77, 1, 46, 77, 1, 46, 77, 1, 45, 77, 1, 45, 77, 1, 45, 78, 1, 45, 78, 1, 45, 78,
629  1, 45, 78, 1, 45, 78, 1, 45, 77, 1, 45, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1,
630  46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 77, 1, 46, 76, 1, 47,
631  76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76, 1, 47, 76,
632  1, 47, 76, 1, 47, 75, 1, 47, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1,
633  48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 75, 1, 48, 74, 1, 48, 74, 1, 49,
634  74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74,
635  1, 49, 74, 1, 49, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1,
636  50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 73, 1, 50, 72, 1, 51, 72, 1, 51,
637  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
638  1, 51, 72, 1, 52, 71, 1, 52, 71, 1, 52, 71, 1, 52, 71, 1, 53, 70, 1, 54, 69, 1,
639  54, 68, 1, 56, 67, 1, 57, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
640  0, 0, 0, 0, 0, 0, 1, 56, 67, 1, 54, 69, 1, 53, 71, 1, 52, 72, 1, 51, 72, 1,
641  50, 73, 1, 50, 73, 1, 50, 74, 1, 49, 74, 1, 49, 74, 1, 49, 74, 1, 50, 74, 1, 50,
642  74, 1, 50, 73, 1, 51, 73, 1, 51, 72, 1, 52, 71, 1, 53, 70, 1, 55, 68, 1, 56, 67,
643  34, 35, 90, 2, 27, 53, 70, 96, 2, 28, 53, 70, 96, 2, 28, 53, 70, 95, 2, 28, 53, 70,
644  95, 2, 28, 53, 70, 95, 2, 28, 53, 70, 95, 2, 28, 53, 71, 95, 2, 28, 52, 71, 95, 2,
645  29, 52, 71, 95, 2, 29, 52, 71, 94, 2, 29, 52, 71, 94, 2, 29, 52, 71, 94, 2, 29, 52,
646  71, 94, 2, 29, 52, 72, 94, 2, 30, 52, 72, 94, 2, 30, 51, 72, 94, 2, 30, 51, 72, 94,
647  2, 30, 51, 72, 93, 2, 30, 51, 72, 93, 2, 30, 51, 72, 93, 2, 30, 51, 73, 93, 2, 31,
648  51, 73, 93, 2, 31, 50, 73, 93, 2, 31, 50, 73, 93, 2, 31, 50, 73, 93, 2, 31, 50, 73,
649  92, 2, 31, 50, 74, 92, 2, 31, 50, 74, 92, 2, 32, 50, 74, 92, 2, 32, 50, 74, 92, 2,
650  32, 49, 74, 92, 2, 32, 49, 74, 92, 2, 32, 49, 74, 91, 2, 32, 49, 75, 91, 2, 32, 49,
651  75, 91, 2, 33, 49, 75, 91, 2, 33, 49, 75, 91, 2, 33, 48, 75, 91, 2, 33, 48, 75, 91,
652  2, 33, 48, 75, 91, 2, 33, 48, 76, 90, 2, 33, 48, 76, 90, 2, 34, 48, 76, 90, 2, 34,
653  48, 76, 90, 2, 34, 48, 76, 90, 2, 34, 47, 76, 90, 2, 34, 47, 76, 90, 2, 34, 47, 77,
654  89, 2, 34, 47, 77, 89, 2, 35, 47, 77, 89, 2, 35, 47, 77, 89, 2, 35, 46, 77, 89, 2,
655  36, 46, 78, 88, 2, 36, 45, 79, 87, 2, 38, 43, 80, 86, 35, 18, 176, 2, 47, 51, 83, 87,
656  2, 44, 54, 80, 89, 2, 43, 55, 78, 91, 2, 42, 56, 77, 92, 2, 41, 57, 76, 93, 2, 40,
657  58, 76, 93, 2, 40, 58, 75, 94, 2, 39, 59, 75, 94, 2, 39, 59, 75, 94, 2, 39, 59, 74,
658  94, 2, 39, 59, 74, 95, 2, 39, 59, 74, 95, 2, 39, 59, 74, 95, 2, 39, 59, 74, 94, 2,
659  39, 59, 74, 94, 2, 39, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 59,
660  74, 94, 2, 38, 59, 74, 94, 2, 38, 59, 74, 94, 2, 38, 58, 74, 94, 2, 38, 58, 73, 94,
661  2, 38, 58, 73, 94, 2, 38, 58, 73, 94, 2, 38, 58, 73, 94, 2, 38, 58, 73, 93, 2, 38,
662  58, 73, 93, 2, 38, 58, 73, 93, 2, 38, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73,
663  93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2, 37, 58, 73, 93, 2,
664  37, 57, 73, 93, 2, 37, 57, 72, 93, 2, 37, 57, 72, 93, 2, 37, 57, 72, 93, 2, 37, 57,
665  72, 93, 2, 37, 57, 72, 92, 2, 37, 57, 72, 92, 2, 37, 57, 72, 92, 2, 37, 57, 72, 92,
666  2, 36, 57, 72, 92, 2, 36, 57, 72, 92, 2, 36, 57, 72, 92, 1, 26, 102, 1, 23, 105, 1,
667  21, 107, 1, 20, 108, 1, 19, 109, 1, 19, 109, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 18,
668  110, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 18, 110, 1, 19, 109, 1, 19, 109, 1, 20, 108,
669  1, 21, 107, 1, 22, 106, 1, 25, 103, 2, 35, 55, 70, 91, 2, 35, 55, 70, 90, 2, 35, 55,
670  70, 90, 2, 35, 55, 70, 90, 2, 35, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90,
671  2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34, 55, 70, 90, 2, 34,
672  54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69, 90, 2, 34, 54, 69,
673  90, 2, 34, 54, 69, 89, 2, 34, 54, 69, 89, 2, 34, 54, 69, 89, 2, 34, 54, 69, 89, 2,
674  33, 54, 69, 89, 2, 33, 54, 69, 89, 1, 25, 95, 1, 19, 100, 1, 17, 102, 1, 16, 103, 1,
675  15, 104, 1, 15, 105, 1, 14, 105, 1, 14, 106, 1, 14, 106, 1, 13, 106, 1, 13, 106, 1, 13,
676  106, 1, 14, 106, 1, 14, 106, 1, 14, 105, 1, 15, 105, 1, 15, 104, 1, 16, 103, 1, 17, 102,
677  1, 19, 100, 1, 25, 95, 2, 32, 52, 67, 88, 2, 32, 52, 67, 87, 2, 32, 52, 67, 87, 2,
678  32, 52, 67, 87, 2, 32, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52,
679  67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 52, 67, 87, 2, 31, 51, 67, 87,
680  2, 31, 51, 66, 87, 2, 31, 51, 66, 87, 2, 31, 51, 66, 87, 2, 31, 51, 66, 86, 2, 31,
681  51, 66, 86, 2, 31, 51, 66, 86, 2, 31, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66,
682  86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2, 30, 51, 66, 86, 2,
683  30, 50, 66, 86, 2, 30, 50, 65, 86, 2, 30, 50, 65, 86, 2, 30, 50, 65, 86, 2, 30, 50,
684  65, 86, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30, 50, 65, 85,
685  2, 29, 50, 65, 85, 2, 29, 50, 65, 85, 2, 29, 50, 65, 85, 2, 30, 50, 65, 85, 2, 30,
686  50, 65, 84, 2, 30, 49, 65, 84, 2, 30, 49, 65, 84, 2, 31, 49, 66, 84, 2, 31, 48, 66,
687  83, 2, 32, 47, 67, 82, 2, 33, 46, 68, 81, 2, 34, 45, 70, 80, 2, 36, 43, 71, 78, 36,
688  16, 183, 1, 61, 63, 1, 58, 67, 1, 56, 68, 1, 55, 69, 1, 54, 70, 1, 53, 71, 1, 53,
689  71, 1, 53, 71, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
690  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 73, 1, 48, 77, 1,
691  44, 81, 2, 42, 84, 88, 96, 1, 40, 98, 1, 38, 99, 1, 37, 100, 1, 35, 100, 1, 34, 101,
692  1, 33, 101, 1, 32, 101, 1, 31, 102, 1, 30, 102, 1, 29, 102, 1, 28, 102, 1, 28, 102, 1,
693  27, 102, 1, 26, 102, 1, 26, 102, 1, 25, 102, 2, 25, 58, 69, 102, 2, 24, 53, 73, 102, 2,
694  24, 50, 76, 102, 2, 24, 49, 78, 102, 2, 23, 47, 80, 102, 2, 23, 46, 81, 102, 2, 23, 45,
695  82, 102, 2, 23, 44, 82, 102, 2, 22, 44, 82, 101, 2, 22, 43, 83, 101, 2, 22, 43, 83, 101,
696  2, 22, 43, 84, 100, 2, 22, 42, 84, 100, 2, 22, 42, 85, 99, 2, 22, 42, 87, 98, 2, 22,
697  43, 88, 96, 1, 22, 43, 1, 23, 44, 1, 23, 44, 1, 23, 45, 1, 23, 47, 1, 23, 48, 1,
698  24, 51, 1, 24, 54, 1, 24, 58, 1, 25, 62, 1, 25, 67, 1, 26, 72, 1, 26, 76, 1, 27,
699  80, 1, 28, 83, 1, 29, 85, 1, 29, 88, 1, 30, 90, 1, 31, 92, 1, 33, 93, 1, 34, 95,
700  1, 35, 96, 1, 37, 97, 1, 39, 98, 1, 41, 99, 1, 43, 100, 1, 46, 101, 1, 50, 101, 1,
701  54, 102, 1, 59, 102, 1, 64, 103, 1, 69, 104, 1, 73, 104, 1, 76, 104, 1, 79, 105, 1, 81,
702  105, 1, 82, 105, 1, 83, 105, 1, 84, 106, 2, 26, 29, 85, 106, 2, 23, 32, 85, 106, 2, 22,
703  34, 86, 106, 2, 20, 35, 86, 106, 2, 20, 36, 86, 106, 2, 19, 36, 86, 106, 2, 19, 37, 86,
704  106, 2, 18, 37, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 85, 106, 2,
705  18, 39, 85, 106, 2, 18, 39, 84, 106, 2, 18, 40, 84, 106, 2, 18, 41, 83, 105, 2, 18, 42,
706  82, 105, 2, 18, 43, 81, 105, 2, 18, 44, 79, 104, 2, 18, 46, 77, 104, 2, 18, 49, 75, 104,
707  2, 18, 52, 73, 103, 2, 18, 56, 68, 103, 1, 18, 102, 1, 18, 101, 1, 18, 101, 1, 18, 100,
708  1, 18, 99, 1, 18, 98, 1, 18, 98, 1, 18, 97, 1, 18, 96, 1, 18, 95, 1, 18, 94, 1,
709  19, 92, 1, 19, 91, 1, 19, 89, 1, 20, 88, 2, 21, 35, 39, 86, 2, 22, 33, 41, 83, 2,
710  24, 31, 44, 81, 1, 47, 77, 1, 51, 73, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
711  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
712  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
713  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 53, 71, 1, 53, 71, 1, 53, 71,
714  1, 54, 70, 1, 55, 69, 1, 56, 68, 1, 57, 67, 1, 61, 63, 37, 30, 160, 1, 44, 54, 1,
715  40, 58, 1, 37, 61, 1, 36, 62, 1, 34, 64, 1, 32, 66, 1, 31, 67, 1, 30, 68, 1, 29,
716  69, 1, 28, 70, 1, 27, 71, 1, 26, 72, 1, 25, 73, 2, 25, 44, 54, 73, 2, 24, 42, 56,
717  74, 2, 24, 40, 58, 74, 2, 23, 39, 59, 75, 2, 23, 38, 61, 75, 2, 22, 37, 61, 76, 2,
718  22, 36, 62, 76, 2, 22, 35, 63, 76, 2, 21, 35, 63, 77, 2, 21, 34, 64, 77, 2, 21, 34,
719  64, 77, 2, 21, 34, 65, 77, 2, 21, 33, 65, 77, 2, 21, 33, 65, 77, 2, 20, 33, 65, 78,
720  2, 20, 33, 65, 78, 2, 20, 33, 65, 78, 2, 21, 33, 65, 78, 2, 21, 33, 65, 77, 2, 21,
721  33, 65, 77, 2, 21, 34, 64, 77, 2, 21, 34, 64, 77, 2, 21, 34, 64, 77, 2, 21, 35, 63,
722  77, 2, 22, 36, 63, 76, 2, 22, 36, 62, 76, 2, 22, 37, 61, 76, 2, 23, 38, 60, 75, 2,
723  23, 39, 59, 75, 2, 24, 41, 57, 74, 2, 25, 42, 56, 74, 2, 25, 45, 53, 73, 1, 26, 72,
724  2, 27, 71, 100, 103, 2, 28, 71, 96, 105, 2, 28, 70, 93, 106, 2, 29, 69, 90, 107, 2, 31,
725  68, 87, 107, 2, 32, 66, 84, 107, 2, 33, 65, 81, 108, 2, 35, 63, 78, 107, 2, 37, 62, 75,
726  107, 2, 39, 59, 72, 107, 2, 42, 56, 68, 106, 1, 65, 105, 1, 62, 103, 1, 59, 100, 1, 56,
727  97, 1, 53, 94, 1, 50, 91, 1, 47, 88, 1, 44, 85, 1, 41, 82, 1, 38, 78, 1, 35, 75,
728  1, 31, 72, 1, 28, 69, 1, 25, 66, 1, 22, 63, 1, 20, 60, 2, 19, 57, 69, 81, 2, 18,
729  54, 66, 84, 2, 17, 51, 63, 87, 2, 17, 47, 61, 88, 2, 17, 44, 59, 90, 2, 17, 41, 58,
730  92, 2, 17, 38, 57, 93, 2, 18, 35, 55, 94, 2, 18, 32, 54, 95, 2, 19, 29, 53, 96, 2,
731  20, 26, 53, 97, 1, 52, 98, 1, 51, 99, 2, 50, 69, 80, 99, 2, 50, 67, 82, 100, 2, 49,
732  65, 84, 100, 2, 49, 64, 85, 101, 2, 48, 63, 86, 101, 2, 48, 62, 87, 102, 2, 48, 61, 88,
733  102, 2, 47, 61, 89, 102, 2, 47, 60, 89, 102, 2, 47, 60, 90, 103, 2, 46, 59, 90, 103, 2,
734  46, 59, 90, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59,
735  91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 91, 103, 2, 46, 59, 90, 103,
736  2, 46, 59, 90, 103, 2, 47, 60, 90, 103, 2, 47, 60, 89, 103, 2, 47, 61, 89, 102, 2, 47,
737  61, 88, 102, 2, 48, 62, 87, 102, 2, 48, 63, 86, 101, 2, 49, 64, 85, 101, 2, 49, 65, 84,
738  100, 2, 50, 67, 83, 100, 2, 50, 69, 81, 99, 2, 51, 73, 76, 99, 1, 52, 98, 1, 53, 97,
739  1, 53, 96, 1, 54, 95, 1, 55, 94, 1, 56, 93, 1, 58, 92, 1, 59, 91, 1, 61, 89, 1,
740  63, 87, 1, 65, 84, 1, 68, 81, 38, 44, 160, 1, 65, 72, 1, 59, 76, 2, 56, 79, 85, 89,
741  1, 54, 92, 1, 52, 94, 1, 50, 95, 1, 49, 96, 1, 48, 96, 1, 47, 97, 1, 46, 97, 1,
742  45, 97, 1, 44, 97, 1, 43, 97, 1, 42, 97, 1, 42, 97, 1, 41, 97, 1, 40, 97, 1, 40,
743  96, 1, 39, 95, 1, 39, 94, 1, 38, 93, 2, 38, 63, 73, 92, 2, 38, 61, 74, 90, 2, 37,
744  60, 76, 88, 2, 37, 59, 77, 86, 2, 37, 58, 78, 84, 2, 37, 58, 80, 82, 1, 37, 57, 1,
745  37, 57, 1, 37, 57, 1, 36, 57, 1, 36, 57, 1, 37, 57, 1, 37, 57, 1, 37, 58, 1, 37,
746  58, 1, 37, 59, 1, 37, 59, 1, 37, 60, 1, 38, 60, 1, 38, 61, 1, 39, 62, 1, 39, 62,
747  1, 39, 63, 1, 40, 64, 1, 40, 64, 1, 41, 65, 1, 42, 66, 1, 42, 66, 1, 43, 67, 1,
748  43, 68, 1, 42, 68, 1, 41, 69, 1, 39, 70, 1, 38, 71, 1, 37, 71, 2, 36, 72, 88, 105,
749  2, 35, 73, 88, 108, 2, 34, 73, 87, 109, 2, 33, 74, 87, 110, 2, 32, 75, 87, 110, 2, 31,
750  75, 87, 111, 2, 30, 76, 86, 111, 2, 30, 77, 86, 112, 2, 29, 77, 86, 112, 2, 28, 78, 85,
751  112, 2, 28, 79, 85, 112, 2, 27, 79, 85, 112, 3, 27, 54, 56, 80, 84, 112, 3, 27, 52, 56,
752  81, 84, 111, 3, 26, 51, 57, 81, 84, 111, 3, 26, 49, 58, 82, 84, 110, 2, 25, 48, 58, 110,
753  2, 25, 48, 59, 109, 2, 25, 47, 60, 108, 2, 25, 46, 60, 106, 2, 24, 46, 61, 103, 2, 24,
754  45, 62, 103, 2, 24, 45, 62, 103, 2, 24, 44, 63, 102, 2, 24, 44, 64, 102, 2, 24, 44, 65,
755  102, 2, 24, 44, 65, 102, 2, 24, 44, 66, 101, 2, 24, 44, 67, 101, 2, 24, 44, 67, 101, 2,
756  24, 44, 68, 100, 2, 24, 44, 69, 100, 2, 24, 45, 69, 99, 2, 24, 45, 70, 99, 2, 24, 46,
757  71, 98, 2, 24, 47, 71, 98, 2, 25, 48, 72, 97, 2, 25, 49, 71, 105, 2, 25, 51, 69, 108,
758  2, 26, 55, 65, 109, 1, 26, 110, 1, 26, 111, 1, 27, 111, 1, 28, 112, 1, 28, 112, 1, 29,
759  112, 1, 29, 112, 1, 30, 112, 1, 31, 112, 1, 32, 112, 1, 33, 112, 1, 34, 111, 1, 35, 111,
760  1, 37, 110, 2, 38, 84, 85, 109, 2, 40, 82, 85, 108, 2, 42, 80, 86, 105, 1, 44, 78, 1,
761  48, 76, 1, 52, 71, 39, 33, 93, 1, 49, 75, 1, 49, 75, 1, 49, 75, 1, 49, 75, 1, 49,
762  74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74, 1, 50, 74,
763  1, 50, 74, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1, 51, 73, 1,
764  51, 73, 1, 52, 73, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
765  72, 1, 53, 72, 1, 53, 72, 1, 53, 71, 1, 53, 71, 1, 53, 71, 1, 53, 71, 1, 53, 71,
766  1, 53, 71, 1, 54, 71, 1, 54, 71, 1, 54, 70, 1, 54, 70, 1, 54, 70, 1, 54, 70, 1,
767  54, 70, 1, 55, 70, 1, 55, 70, 1, 55, 70, 1, 55, 69, 1, 55, 69, 1, 55, 69, 1, 55,
768  69, 1, 55, 69, 1, 56, 69, 1, 56, 69, 1, 56, 69, 1, 56, 68, 1, 56, 68, 1, 57, 68,
769  1, 57, 68, 1, 58, 67, 1, 58, 66, 1, 60, 64, 40, 27, 189, 1, 88, 92, 1, 85, 95, 1,
770  84, 97, 1, 82, 98, 1, 82, 98, 1, 81, 99, 1, 80, 100, 1, 79, 100, 1, 79, 100, 1, 78,
771  100, 1, 77, 100, 1, 77, 100, 1, 76, 100, 1, 76, 100, 1, 75, 99, 1, 74, 99, 1, 74, 98,
772  1, 73, 98, 1, 73, 97, 1, 72, 97, 1, 72, 96, 1, 71, 95, 1, 71, 95, 1, 70, 94, 1,
773  70, 94, 1, 69, 93, 1, 69, 93, 1, 68, 92, 1, 68, 92, 1, 67, 91, 1, 67, 90, 1, 66,
774  90, 1, 66, 89, 1, 65, 89, 1, 65, 88, 1, 65, 88, 1, 64, 88, 1, 64, 87, 1, 63, 87,
775  1, 63, 86, 1, 62, 86, 1, 62, 85, 1, 62, 85, 1, 61, 85, 1, 61, 84, 1, 61, 84, 1,
776  60, 84, 1, 60, 83, 1, 60, 83, 1, 60, 83, 1, 59, 82, 1, 59, 82, 1, 59, 82, 1, 58,
777  81, 1, 58, 81, 1, 58, 81, 1, 58, 81, 1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 57, 80,
778  1, 57, 79, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 56, 79, 1, 56, 78, 1,
779  56, 78, 1, 56, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55,
780  78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78,
781  1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1, 55, 78, 1,
782  55, 78, 1, 55, 78, 1, 56, 78, 1, 56, 78, 1, 56, 78, 1, 56, 79, 1, 56, 79, 1, 56,
783  79, 1, 56, 79, 1, 57, 79, 1, 57, 79, 1, 57, 80, 1, 57, 80, 1, 57, 80, 1, 57, 80,
784  1, 58, 81, 1, 58, 81, 1, 58, 81, 1, 58, 81, 1, 59, 82, 1, 59, 82, 1, 59, 82, 1,
785  60, 83, 1, 60, 83, 1, 60, 83, 1, 60, 84, 1, 61, 84, 1, 61, 84, 1, 61, 85, 1, 62,
786  85, 1, 62, 85, 1, 63, 86, 1, 63, 86, 1, 63, 87, 1, 64, 87, 1, 64, 88, 1, 65, 88,
787  1, 65, 88, 1, 65, 89, 1, 66, 89, 1, 66, 90, 1, 67, 90, 1, 67, 91, 1, 68, 91, 1,
788  68, 92, 1, 69, 92, 1, 69, 93, 1, 70, 94, 1, 70, 94, 1, 71, 95, 1, 71, 95, 1, 72,
789  96, 1, 72, 96, 1, 73, 97, 1, 73, 98, 1, 74, 98, 1, 75, 99, 1, 75, 99, 1, 76, 100,
790  1, 76, 100, 1, 77, 100, 1, 77, 100, 1, 78, 100, 1, 79, 100, 1, 79, 100, 1, 80, 100, 1,
791  81, 99, 1, 82, 98, 1, 83, 98, 1, 84, 97, 1, 85, 95, 1, 88, 92, 41, 27, 189, 1, 33,
792  38, 1, 31, 40, 1, 29, 42, 1, 28, 43, 1, 27, 44, 1, 26, 45, 1, 26, 45, 1, 26, 46,
793  1, 26, 47, 1, 25, 47, 1, 25, 48, 1, 25, 49, 1, 26, 49, 1, 26, 50, 1, 26, 50, 1,
794  27, 51, 1, 27, 52, 1, 28, 52, 1, 28, 53, 1, 29, 53, 1, 30, 54, 1, 30, 54, 1, 31,
795  55, 1, 31, 55, 1, 32, 56, 1, 33, 56, 1, 33, 57, 1, 34, 57, 1, 34, 58, 1, 35, 58,
796  1, 35, 59, 1, 36, 59, 1, 36, 60, 1, 37, 60, 1, 37, 61, 1, 37, 61, 1, 38, 61, 1,
797  38, 62, 1, 39, 62, 1, 39, 63, 1, 40, 63, 1, 40, 63, 1, 41, 64, 1, 41, 64, 1, 41,
798  64, 1, 42, 65, 1, 42, 65, 1, 42, 66, 1, 43, 66, 1, 43, 66, 1, 43, 66, 1, 44, 67,
799  1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 45, 68, 1, 45, 68, 1, 45, 68, 1, 45, 68, 1,
800  46, 68, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 47, 69, 1, 47, 70, 1, 47,
801  70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 48, 70, 1, 48, 70, 1, 48, 70,
802  1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1,
803  48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 71, 1, 48, 70, 1, 48,
804  70, 1, 48, 70, 1, 48, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70, 1, 47, 70,
805  1, 47, 70, 1, 47, 69, 1, 47, 69, 1, 46, 69, 1, 46, 69, 1, 46, 69, 1, 46, 68, 1,
806  46, 68, 1, 45, 68, 1, 45, 68, 1, 45, 68, 1, 44, 67, 1, 44, 67, 1, 44, 67, 1, 44,
807  67, 1, 43, 66, 1, 43, 66, 1, 43, 66, 1, 42, 65, 1, 42, 65, 1, 42, 65, 1, 41, 64,
808  1, 41, 64, 1, 41, 64, 1, 40, 63, 1, 40, 63, 1, 39, 63, 1, 39, 62, 1, 38, 62, 1,
809  38, 61, 1, 38, 61, 1, 37, 61, 1, 37, 60, 1, 36, 60, 1, 36, 59, 1, 35, 59, 1, 35,
810  58, 1, 34, 58, 1, 34, 57, 1, 33, 57, 1, 33, 56, 1, 32, 56, 1, 31, 55, 1, 31, 55,
811  1, 30, 54, 1, 30, 54, 1, 29, 53, 1, 28, 53, 1, 28, 52, 1, 27, 52, 1, 27, 51, 1,
812  26, 50, 1, 26, 50, 1, 26, 49, 1, 25, 49, 1, 25, 48, 1, 25, 47, 1, 26, 47, 1, 26,
813  46, 1, 26, 45, 1, 26, 45, 1, 27, 44, 1, 28, 43, 1, 29, 42, 1, 30, 40, 1, 33, 38,
814  42, 29, 114, 1, 59, 65, 1, 57, 67, 1, 55, 68, 1, 54, 69, 1, 54, 70, 1, 53, 71, 1,
815  53, 71, 1, 52, 71, 1, 52, 71, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
816  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
817  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 3, 25, 31, 52, 72, 93, 99, 3, 23, 34,
818  52, 72, 90, 101, 3, 21, 37, 52, 72, 86, 103, 3, 20, 40, 52, 72, 83, 104, 3, 20, 43, 52,
819  72, 80, 104, 3, 19, 47, 52, 72, 77, 105, 3, 18, 50, 52, 72, 74, 105, 1, 18, 106, 1, 18,
820  106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 19, 105, 1, 19, 104,
821  1, 20, 104, 1, 21, 103, 1, 22, 101, 1, 24, 99, 1, 27, 97, 1, 30, 94, 1, 33, 91, 1,
822  36, 88, 1, 39, 84, 1, 43, 81, 1, 45, 78, 1, 45, 79, 1, 44, 80, 1, 43, 81, 1, 43,
823  81, 1, 42, 82, 1, 41, 83, 1, 40, 83, 1, 40, 84, 1, 39, 85, 1, 38, 86, 1, 37, 86,
824  1, 37, 87, 2, 36, 61, 63, 88, 2, 35, 60, 63, 88, 2, 35, 60, 64, 89, 2, 34, 59, 65,
825  90, 2, 33, 58, 66, 91, 2, 33, 57, 66, 91, 2, 32, 57, 67, 92, 2, 32, 56, 68, 92, 2,
826  31, 55, 69, 93, 2, 31, 55, 69, 93, 2, 31, 54, 70, 93, 2, 31, 53, 71, 93, 2, 31, 52,
827  71, 93, 2, 31, 52, 72, 93, 2, 31, 51, 73, 92, 2, 32, 50, 74, 92, 2, 32, 49, 74, 91,
828  2, 33, 49, 75, 91, 2, 34, 48, 76, 90, 2, 35, 46, 77, 88, 2, 37, 45, 79, 87, 43, 42,
829  157, 1, 59, 65, 1, 57, 67, 1, 56, 69, 1, 55, 70, 1, 54, 70, 1, 53, 71, 1, 53, 71,
830  1, 53, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
831  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
832  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
833  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
834  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
835  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 21, 102, 1, 15, 109, 1, 13, 111, 1, 12, 112,
836  1, 11, 113, 1, 11, 113, 1, 10, 114, 1, 10, 114, 1, 10, 115, 1, 9, 115, 1, 9, 115, 1,
837  9, 115, 1, 10, 115, 1, 10, 114, 1, 10, 114, 1, 11, 114, 1, 11, 113, 1, 12, 112, 1, 13,
838  111, 1, 15, 109, 1, 19, 105, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
839  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
840  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
841  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
842  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
843  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 53, 72, 1, 53, 71, 1, 53,
844  71, 1, 54, 71, 1, 54, 70, 1, 55, 69, 1, 56, 68, 1, 58, 66, 44, 130, 190, 1, 57, 84,
845  1, 57, 84, 1, 57, 83, 1, 56, 82, 1, 56, 82, 1, 56, 81, 1, 55, 81, 1, 55, 80, 1,
846  55, 80, 1, 55, 79, 1, 54, 79, 1, 54, 78, 1, 54, 78, 1, 54, 77, 1, 53, 77, 1, 53,
847  76, 1, 53, 76, 1, 52, 75, 1, 52, 75, 1, 52, 74, 1, 52, 73, 1, 51, 73, 1, 51, 72,
848  1, 51, 72, 1, 50, 71, 1, 50, 71, 1, 50, 70, 1, 50, 70, 1, 49, 69, 1, 49, 69, 1,
849  49, 68, 1, 49, 68, 1, 48, 67, 1, 48, 67, 1, 48, 66, 1, 47, 66, 1, 47, 65, 1, 47,
850  64, 1, 47, 64, 1, 46, 63, 1, 46, 63, 1, 46, 62, 1, 45, 62, 1, 45, 61, 1, 45, 61,
851  1, 45, 60, 1, 44, 60, 1, 44, 59, 1, 44, 59, 1, 43, 58, 1, 43, 58, 1, 43, 57, 1,
852  43, 56, 1, 43, 56, 1, 43, 55, 1, 43, 55, 1, 43, 54, 1, 44, 53, 1, 45, 52, 1, 47,
853  51, 45, 90, 109, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105,
854  1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1,
855  20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 1, 20, 105, 46, 134, 160, 1, 56,
856  68, 1, 54, 71, 1, 52, 72, 1, 51, 74, 1, 50, 74, 1, 49, 75, 1, 49, 76, 1, 48, 76,
857  1, 48, 77, 1, 48, 77, 1, 47, 77, 1, 47, 77, 1, 47, 78, 1, 47, 78, 1, 47, 77, 1,
858  47, 77, 1, 48, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49, 75, 1, 50, 75, 1, 51,
859  74, 1, 52, 72, 1, 54, 71, 1, 56, 69, 47, 14, 181, 1, 94, 98, 1, 91, 101, 1, 90, 102,
860  1, 89, 104, 1, 88, 104, 1, 88, 105, 1, 87, 106, 1, 86, 106, 1, 86, 106, 1, 85, 106, 1,
861  85, 106, 1, 84, 106, 1, 84, 106, 1, 83, 106, 1, 83, 105, 1, 83, 105, 1, 82, 104, 1, 82,
862  104, 1, 81, 103, 1, 81, 103, 1, 80, 103, 1, 80, 102, 1, 79, 102, 1, 79, 101, 1, 78, 101,
863  1, 78, 100, 1, 77, 100, 1, 77, 99, 1, 77, 99, 1, 76, 98, 1, 76, 98, 1, 75, 97, 1,
864  75, 97, 1, 74, 96, 1, 74, 96, 1, 73, 96, 1, 73, 95, 1, 72, 95, 1, 72, 94, 1, 71,
865  94, 1, 71, 93, 1, 70, 93, 1, 70, 92, 1, 70, 92, 1, 69, 91, 1, 69, 91, 1, 68, 90,
866  1, 68, 90, 1, 67, 90, 1, 67, 89, 1, 66, 89, 1, 66, 88, 1, 65, 88, 1, 65, 87, 1,
867  64, 87, 1, 64, 86, 1, 63, 86, 1, 63, 85, 1, 63, 85, 1, 62, 84, 1, 62, 84, 1, 61,
868  83, 1, 61, 83, 1, 60, 83, 1, 60, 82, 1, 59, 82, 1, 59, 81, 1, 58, 81, 1, 58, 80,
869  1, 57, 80, 1, 57, 79, 1, 56, 79, 1, 56, 78, 1, 56, 78, 1, 55, 77, 1, 55, 77, 1,
870  54, 77, 1, 54, 76, 1, 53, 76, 1, 53, 75, 1, 52, 75, 1, 52, 74, 1, 51, 74, 1, 51,
871  73, 1, 50, 73, 1, 50, 72, 1, 50, 72, 1, 49, 71, 1, 49, 71, 1, 48, 71, 1, 48, 70,
872  1, 47, 70, 1, 47, 69, 1, 46, 69, 1, 46, 68, 1, 45, 68, 1, 45, 67, 1, 44, 67, 1,
873  44, 66, 1, 43, 66, 1, 43, 65, 1, 43, 65, 1, 42, 64, 1, 42, 64, 1, 41, 64, 1, 41,
874  63, 1, 40, 63, 1, 40, 62, 1, 39, 62, 1, 39, 61, 1, 38, 61, 1, 38, 60, 1, 37, 60,
875  1, 37, 59, 1, 36, 59, 1, 36, 58, 1, 36, 58, 1, 35, 58, 1, 35, 57, 1, 34, 57, 1,
876  34, 56, 1, 33, 56, 1, 33, 55, 1, 32, 55, 1, 32, 54, 1, 31, 54, 1, 31, 53, 1, 30,
877  53, 1, 30, 52, 1, 29, 52, 1, 29, 51, 1, 29, 51, 1, 28, 51, 1, 28, 50, 1, 27, 50,
878  1, 27, 49, 1, 26, 49, 1, 26, 48, 1, 25, 48, 1, 25, 47, 1, 24, 47, 1, 24, 46, 1,
879  23, 46, 1, 23, 45, 1, 22, 45, 1, 22, 45, 1, 22, 44, 1, 21, 44, 1, 21, 43, 1, 20,
880  43, 1, 20, 42, 1, 19, 42, 1, 19, 41, 1, 19, 41, 1, 18, 40, 1, 18, 40, 1, 18, 39,
881  1, 18, 39, 1, 18, 38, 1, 19, 38, 1, 19, 37, 1, 19, 37, 1, 20, 36, 1, 21, 35, 1,
882  22, 34, 1, 24, 33, 1, 28, 29, 48, 26, 160, 1, 55, 69, 1, 51, 74, 1, 47, 77, 1, 45,
883  79, 1, 43, 81, 1, 42, 83, 1, 40, 84, 1, 39, 85, 1, 38, 87, 1, 36, 88, 1, 35, 89,
884  1, 34, 90, 1, 33, 90, 1, 33, 91, 1, 32, 92, 1, 31, 93, 1, 30, 93, 1, 30, 94, 1,
885  29, 95, 1, 29, 95, 2, 28, 60, 65, 96, 2, 27, 55, 69, 97, 2, 27, 53, 71, 97, 2, 26,
886  52, 73, 98, 2, 26, 50, 74, 98, 2, 25, 49, 75, 99, 2, 25, 48, 76, 99, 2, 24, 47, 77,
887  100, 2, 24, 47, 78, 100, 2, 23, 46, 78, 101, 2, 23, 45, 79, 101, 2, 23, 45, 80, 102, 2,
888  22, 44, 80, 102, 2, 22, 43, 81, 102, 2, 22, 43, 81, 103, 2, 21, 42, 82, 103, 2, 21, 42,
889  82, 103, 2, 21, 42, 82, 104, 2, 20, 41, 83, 104, 2, 20, 41, 83, 104, 2, 20, 40, 84, 105,
890  2, 20, 40, 84, 105, 2, 19, 40, 84, 105, 2, 19, 40, 84, 105, 2, 19, 39, 85, 105, 2, 19,
891  39, 85, 105, 2, 19, 39, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 86,
892  106, 2, 18, 39, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2,
893  18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38,
894  86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106,
895  2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18,
896  38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86,
897  106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2,
898  18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38,
899  86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 86, 106,
900  2, 18, 39, 85, 106, 2, 18, 39, 85, 106, 2, 19, 39, 85, 106, 2, 19, 39, 85, 106, 2, 19,
901  40, 85, 105, 2, 19, 40, 85, 105, 2, 19, 40, 84, 105, 2, 20, 40, 84, 105, 2, 20, 40, 84,
902  104, 2, 20, 41, 83, 104, 2, 20, 41, 83, 104, 2, 21, 42, 83, 104, 2, 21, 42, 82, 104, 2,
903  21, 43, 82, 103, 2, 22, 43, 81, 103, 2, 22, 43, 81, 102, 2, 22, 44, 80, 102, 2, 23, 45,
904  80, 102, 2, 23, 45, 79, 101, 2, 24, 46, 78, 101, 2, 24, 46, 78, 100, 2, 24, 47, 77, 100,
905  2, 25, 48, 76, 100, 2, 25, 49, 75, 99, 2, 26, 50, 74, 99, 2, 26, 51, 73, 98, 2, 27,
906  53, 71, 97, 2, 28, 55, 69, 97, 2, 28, 58, 67, 96, 1, 29, 96, 1, 29, 95, 1, 30, 95,
907  1, 31, 94, 1, 31, 93, 1, 32, 93, 1, 33, 92, 1, 34, 91, 1, 34, 90, 1, 35, 89, 1,
908  36, 88, 1, 37, 87, 1, 39, 86, 1, 40, 85, 1, 41, 83, 1, 43, 81, 1, 45, 79, 1, 47,
909  77, 1, 50, 74, 1, 54, 70, 49, 26, 157, 1, 70, 72, 1, 66, 72, 1, 63, 72, 1, 59, 72,
910  1, 55, 72, 1, 51, 72, 1, 47, 72, 1, 43, 72, 1, 39, 72, 1, 35, 72, 1, 31, 72, 1,
911  28, 72, 1, 25, 72, 1, 23, 72, 1, 21, 72, 1, 20, 72, 1, 19, 72, 1, 19, 72, 1, 18,
912  72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 18, 72, 1, 19, 72,
913  1, 19, 72, 2, 20, 48, 52, 72, 2, 20, 44, 52, 72, 2, 21, 40, 52, 72, 2, 22, 36, 52,
914  72, 2, 24, 32, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
915  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
916  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
917  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
918  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
919  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
920  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
921  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
922  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
923  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
924  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
925  72, 1, 26, 98, 1, 23, 101, 1, 22, 103, 1, 21, 104, 1, 20, 105, 1, 19, 105, 1, 19, 106,
926  1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 19, 106, 1,
927  19, 106, 1, 20, 105, 1, 20, 104, 1, 21, 103, 1, 23, 102, 1, 25, 99, 50, 26, 157, 1, 53,
928  68, 1, 48, 73, 1, 45, 77, 1, 42, 79, 1, 39, 81, 1, 37, 84, 1, 36, 86, 1, 34, 87,
929  1, 32, 88, 1, 31, 89, 1, 30, 91, 1, 28, 92, 1, 27, 93, 1, 26, 94, 1, 25, 95, 1,
930  25, 96, 1, 24, 97, 1, 23, 97, 1, 22, 98, 1, 22, 99, 2, 21, 57, 64, 99, 2, 21, 52,
931  69, 100, 2, 20, 49, 72, 100, 2, 19, 47, 74, 101, 2, 19, 45, 76, 101, 2, 19, 44, 77, 102,
932  2, 18, 42, 78, 102, 2, 18, 41, 79, 102, 2, 17, 40, 80, 103, 2, 17, 40, 81, 103, 2, 17,
933  39, 82, 103, 2, 17, 38, 82, 104, 2, 16, 38, 83, 104, 2, 16, 37, 83, 104, 2, 16, 37, 83,
934  104, 2, 16, 37, 84, 104, 2, 16, 36, 84, 104, 2, 17, 36, 84, 104, 2, 17, 35, 84, 104, 2,
935  18, 35, 84, 104, 2, 19, 34, 84, 104, 2, 20, 33, 84, 104, 2, 21, 32, 84, 104, 2, 23, 30,
936  83, 104, 1, 83, 104, 1, 82, 104, 1, 82, 104, 1, 81, 104, 1, 81, 103, 1, 80, 103, 1, 79,
937  103, 1, 78, 102, 1, 77, 102, 1, 77, 102, 1, 76, 101, 1, 75, 101, 1, 74, 100, 1, 73, 100,
938  1, 72, 99, 1, 71, 98, 1, 69, 98, 1, 68, 97, 1, 67, 96, 1, 66, 95, 1, 65, 94, 1,
939  64, 93, 1, 63, 92, 1, 62, 92, 1, 61, 91, 1, 60, 90, 1, 59, 89, 1, 57, 88, 1, 56,
940  87, 1, 55, 86, 1, 54, 85, 1, 53, 84, 1, 52, 83, 1, 51, 81, 1, 49, 80, 1, 48, 79,
941  1, 47, 78, 1, 46, 77, 1, 45, 76, 1, 44, 75, 1, 42, 74, 1, 41, 73, 1, 40, 71, 1,
942  39, 70, 1, 38, 69, 1, 37, 68, 1, 35, 67, 1, 34, 66, 1, 33, 65, 1, 32, 63, 1, 31,
943  62, 1, 29, 61, 1, 28, 60, 1, 27, 59, 1, 26, 58, 1, 25, 57, 1, 23, 55, 1, 22, 54,
944  1, 21, 53, 1, 20, 52, 1, 18, 51, 1, 17, 50, 1, 16, 48, 1, 15, 47, 2, 14, 46, 92,
945  98, 2, 12, 45, 90, 100, 2, 12, 44, 88, 101, 1, 12, 102, 1, 12, 103, 1, 12, 103, 1, 12,
946  104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 104, 1, 12, 105, 1, 12, 105,
947  1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1, 12, 105, 1,
948  12, 105, 1, 12, 105, 51, 26, 160, 1, 53, 70, 1, 49, 75, 1, 44, 79, 1, 41, 82, 1, 39,
949  84, 1, 36, 86, 1, 35, 88, 1, 33, 89, 1, 31, 90, 1, 30, 92, 1, 28, 93, 1, 27, 94,
950  1, 26, 95, 1, 25, 96, 1, 24, 97, 1, 23, 97, 1, 23, 98, 1, 22, 99, 1, 22, 99, 1,
951  21, 100, 2, 21, 56, 67, 101, 2, 21, 51, 72, 101, 2, 21, 48, 75, 102, 2, 21, 46, 76, 102,
952  2, 21, 44, 78, 102, 2, 21, 43, 79, 103, 2, 21, 42, 80, 103, 2, 22, 40, 81, 103, 2, 23,
953  39, 82, 104, 2, 23, 38, 82, 104, 2, 24, 37, 83, 104, 2, 26, 36, 83, 104, 2, 29, 34, 84,
954  104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104, 1, 84, 104,
955  1, 83, 104, 1, 83, 104, 1, 82, 104, 1, 82, 104, 1, 81, 104, 1, 80, 103, 1, 80, 103, 1,
956  79, 103, 1, 77, 102, 1, 76, 102, 1, 74, 101, 1, 72, 101, 1, 57, 100, 1, 52, 100, 1, 51,
957  99, 1, 49, 98, 1, 48, 98, 1, 48, 97, 1, 47, 96, 1, 47, 95, 1, 47, 94, 1, 46, 93,
958  1, 46, 92, 1, 46, 91, 1, 46, 92, 1, 47, 94, 1, 47, 95, 1, 47, 96, 1, 48, 97, 1,
959  49, 98, 1, 50, 99, 1, 52, 100, 1, 55, 101, 1, 63, 102, 1, 69, 102, 1, 72, 103, 1, 74,
960  104, 1, 76, 104, 1, 78, 105, 1, 79, 105, 1, 80, 106, 1, 81, 106, 1, 82, 107, 1, 83, 107,
961  1, 84, 107, 1, 85, 108, 1, 86, 108, 1, 86, 108, 1, 87, 108, 1, 87, 108, 1, 88, 109, 1,
962  88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 89, 109, 1, 89, 109, 1, 88, 109, 1, 88,
963  109, 1, 88, 109, 1, 88, 109, 1, 88, 108, 1, 87, 108, 1, 87, 108, 1, 86, 108, 1, 85, 108,
964  1, 84, 107, 2, 21, 28, 83, 107, 2, 19, 30, 82, 107, 2, 18, 32, 80, 106, 2, 17, 34, 78,
965  106, 2, 16, 36, 75, 105, 2, 16, 39, 71, 105, 2, 15, 45, 64, 104, 1, 15, 104, 1, 15, 103,
966  1, 15, 102, 1, 15, 102, 1, 15, 101, 1, 15, 100, 1, 15, 99, 1, 16, 98, 1, 16, 97, 1,
967  17, 96, 1, 18, 95, 1, 19, 93, 1, 21, 92, 1, 23, 90, 1, 25, 88, 1, 27, 86, 1, 29,
968  83, 1, 33, 80, 1, 37, 76, 1, 44, 69, 52, 29, 157, 1, 65, 92, 1, 64, 92, 1, 64, 92,
969  1, 63, 92, 1, 62, 92, 1, 62, 92, 1, 61, 92, 1, 61, 92, 1, 60, 92, 1, 60, 92, 1,
970  59, 92, 1, 58, 92, 1, 58, 92, 1, 57, 92, 1, 57, 92, 1, 56, 92, 1, 55, 92, 1, 55,
971  92, 1, 54, 92, 1, 54, 92, 1, 53, 92, 1, 52, 92, 1, 52, 92, 1, 51, 92, 1, 51, 92,
972  1, 50, 92, 1, 50, 92, 1, 49, 92, 1, 48, 92, 1, 48, 92, 2, 47, 71, 72, 92, 2, 47,
973  70, 72, 92, 2, 46, 70, 72, 92, 2, 45, 69, 72, 92, 2, 45, 69, 72, 92, 2, 44, 68, 72,
974  92, 2, 44, 68, 72, 92, 2, 43, 67, 72, 92, 2, 43, 66, 72, 92, 2, 42, 66, 72, 92, 2,
975  41, 65, 72, 92, 2, 41, 65, 72, 92, 2, 40, 64, 72, 92, 2, 40, 63, 72, 92, 2, 39, 63,
976  72, 92, 2, 38, 62, 72, 92, 2, 38, 62, 72, 92, 2, 37, 61, 72, 92, 2, 37, 60, 72, 92,
977  2, 36, 60, 72, 92, 2, 35, 59, 72, 92, 2, 35, 59, 72, 92, 2, 34, 58, 72, 92, 2, 34,
978  58, 72, 92, 2, 33, 57, 72, 92, 2, 33, 56, 72, 92, 2, 32, 56, 72, 92, 2, 31, 55, 72,
979  92, 2, 31, 55, 72, 92, 2, 30, 54, 72, 92, 2, 30, 53, 72, 92, 2, 29, 53, 72, 92, 2,
980  28, 52, 72, 92, 2, 28, 52, 72, 92, 2, 27, 51, 72, 92, 2, 27, 50, 72, 92, 2, 26, 50,
981  72, 92, 2, 25, 49, 72, 92, 2, 25, 49, 72, 92, 2, 24, 48, 72, 92, 2, 24, 47, 72, 92,
982  2, 23, 47, 72, 92, 2, 23, 46, 72, 92, 2, 22, 46, 72, 92, 2, 21, 45, 72, 92, 2, 21,
983  45, 72, 92, 2, 20, 44, 72, 92, 2, 20, 43, 72, 92, 2, 19, 43, 72, 92, 2, 18, 42, 72,
984  92, 1, 18, 98, 1, 17, 100, 1, 17, 101, 1, 16, 102, 1, 16, 103, 1, 16, 104, 1, 16, 104,
985  1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1,
986  16, 103, 1, 16, 103, 1, 16, 102, 1, 16, 101, 1, 16, 99, 1, 16, 96, 1, 72, 92, 1, 72,
987  92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 72, 92, 1, 58, 97,
988  1, 55, 99, 1, 54, 101, 1, 53, 102, 1, 52, 103, 1, 51, 103, 1, 51, 104, 1, 50, 104, 1,
989  50, 104, 1, 50, 104, 1, 50, 104, 1, 50, 104, 1, 50, 104, 1, 51, 104, 1, 51, 103, 1, 52,
990  103, 1, 52, 102, 1, 53, 101, 1, 55, 100, 1, 57, 97, 53, 29, 160, 1, 25, 91, 1, 25, 95,
991  1, 25, 96, 1, 25, 98, 1, 25, 99, 1, 25, 99, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1,
992  25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 100, 1, 25, 99, 1, 25,
993  98, 1, 25, 97, 1, 25, 96, 1, 25, 94, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45,
994  1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1,
995  25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25,
996  45, 1, 25, 45, 1, 25, 45, 2, 25, 45, 59, 72, 2, 25, 45, 53, 77, 2, 25, 45, 49, 80,
997  1, 25, 83, 1, 25, 85, 1, 25, 87, 1, 25, 89, 1, 25, 90, 1, 25, 92, 1, 25, 93, 1,
998  25, 94, 1, 25, 95, 1, 25, 96, 1, 25, 97, 1, 25, 98, 1, 25, 99, 1, 25, 100, 1, 25,
999  100, 1, 25, 101, 1, 25, 102, 2, 25, 64, 67, 102, 2, 25, 57, 73, 103, 2, 26, 53, 76, 104,
1000  2, 26, 50, 77, 104, 2, 27, 47, 79, 105, 2, 27, 45, 80, 105, 2, 28, 43, 81, 105, 2, 29,
1001  40, 82, 106, 2, 31, 38, 83, 106, 1, 84, 107, 1, 85, 107, 1, 85, 107, 1, 86, 107, 1, 86,
1002  108, 1, 87, 108, 1, 87, 108, 1, 87, 108, 1, 88, 108, 1, 88, 108, 1, 88, 109, 1, 88, 109,
1003  1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1,
1004  88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 108, 1, 88, 108, 1, 87,
1005  108, 1, 87, 108, 1, 87, 108, 1, 86, 108, 1, 86, 107, 2, 22, 27, 85, 107, 2, 20, 29, 84,
1006  107, 2, 18, 31, 83, 106, 2, 17, 32, 82, 106, 2, 16, 34, 81, 106, 2, 16, 35, 80, 105, 2,
1007  15, 37, 78, 105, 2, 15, 39, 75, 104, 2, 14, 42, 72, 104, 2, 14, 48, 66, 103, 1, 14, 103,
1008  1, 15, 102, 1, 15, 101, 1, 15, 101, 1, 15, 100, 1, 16, 99, 1, 16, 98, 1, 17, 97, 1,
1009  18, 96, 1, 19, 95, 1, 21, 94, 1, 22, 92, 1, 24, 91, 1, 26, 89, 1, 28, 87, 1, 30,
1010  85, 1, 33, 83, 1, 36, 80, 1, 40, 76, 1, 46, 70, 54, 26, 160, 1, 79, 94, 1, 74, 99,
1011  1, 71, 102, 1, 68, 104, 1, 65, 106, 1, 63, 107, 1, 61, 108, 1, 59, 109, 1, 57, 110, 1,
1012  56, 110, 1, 54, 110, 1, 53, 111, 1, 51, 111, 1, 50, 111, 1, 49, 111, 1, 48, 110, 1, 46,
1013  110, 1, 45, 110, 1, 44, 109, 1, 43, 109, 2, 42, 82, 92, 108, 2, 41, 78, 95, 107, 2, 40,
1014  75, 97, 105, 2, 39, 73, 100, 101, 1, 38, 70, 1, 38, 68, 1, 37, 67, 1, 36, 65, 1, 35,
1015  64, 1, 35, 62, 1, 34, 61, 1, 33, 60, 1, 33, 59, 1, 32, 58, 1, 31, 57, 1, 31, 56,
1016  1, 30, 55, 1, 30, 54, 1, 29, 53, 1, 29, 53, 1, 28, 52, 1, 28, 51, 1, 27, 50, 1,
1017  27, 50, 1, 27, 49, 1, 26, 49, 1, 26, 48, 1, 26, 48, 1, 25, 47, 1, 25, 47, 2, 25,
1018  46, 68, 76, 2, 25, 46, 62, 81, 2, 24, 46, 59, 84, 2, 24, 45, 56, 86, 2, 24, 45, 54,
1019  88, 2, 24, 45, 52, 90, 2, 24, 44, 50, 92, 2, 23, 44, 49, 93, 2, 23, 44, 48, 94, 2,
1020  23, 44, 46, 95, 2, 23, 43, 45, 97, 2, 23, 43, 44, 98, 1, 23, 99, 1, 23, 100, 1, 23,
1021  100, 1, 23, 101, 1, 23, 102, 1, 23, 103, 1, 23, 103, 1, 23, 104, 1, 23, 105, 2, 23, 66,
1022  76, 105, 2, 23, 63, 78, 106, 2, 23, 62, 80, 106, 2, 23, 60, 82, 107, 2, 23, 59, 83, 107,
1023  2, 23, 58, 84, 108, 2, 23, 57, 85, 108, 2, 23, 56, 85, 108, 2, 23, 55, 86, 109, 2, 23,
1024  54, 87, 109, 2, 23, 53, 88, 109, 2, 23, 52, 88, 109, 2, 23, 51, 88, 110, 2, 24, 51, 89,
1025  110, 2, 24, 50, 89, 110, 2, 24, 50, 90, 110, 2, 24, 49, 90, 110, 2, 24, 48, 90, 110, 2,
1026  24, 48, 90, 111, 2, 24, 47, 90, 111, 2, 25, 47, 91, 111, 2, 25, 46, 91, 111, 2, 25, 46,
1027  91, 111, 2, 25, 46, 91, 111, 2, 25, 47, 91, 111, 2, 26, 47, 91, 111, 2, 26, 47, 91, 111,
1028  2, 26, 48, 90, 111, 2, 27, 48, 90, 111, 2, 27, 48, 90, 111, 2, 27, 49, 90, 110, 2, 27,
1029  49, 89, 110, 2, 28, 50, 89, 110, 2, 28, 50, 88, 110, 2, 29, 51, 88, 110, 2, 29, 52, 87,
1030  109, 2, 29, 53, 86, 109, 2, 30, 54, 85, 109, 2, 30, 55, 84, 109, 2, 31, 56, 83, 108, 2,
1031  31, 58, 81, 108, 2, 32, 60, 79, 107, 2, 32, 64, 75, 107, 1, 33, 106, 1, 33, 106, 1, 34,
1032  105, 1, 34, 105, 1, 35, 104, 1, 36, 103, 1, 37, 102, 1, 38, 101, 1, 39, 101, 1, 40, 100,
1033  1, 41, 98, 1, 42, 97, 1, 43, 96, 1, 45, 95, 1, 46, 93, 1, 48, 91, 1, 50, 89, 1,
1034  53, 87, 1, 56, 83, 1, 61, 79, 55, 29, 157, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16,
1035  104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104,
1036  1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1,
1037  16, 104, 1, 16, 104, 2, 16, 37, 83, 104, 2, 16, 36, 83, 104, 2, 17, 36, 82, 104, 2, 17,
1038  36, 82, 103, 2, 17, 36, 82, 103, 2, 17, 36, 81, 103, 2, 18, 35, 81, 102, 2, 18, 35, 81,
1039  102, 2, 19, 34, 80, 102, 2, 20, 33, 80, 101, 2, 22, 31, 80, 101, 2, 24, 28, 79, 101, 1,
1040  79, 100, 1, 79, 100, 1, 78, 100, 1, 78, 99, 1, 78, 99, 1, 77, 99, 1, 77, 98, 1, 77,
1041  98, 1, 76, 98, 1, 76, 97, 1, 76, 97, 1, 75, 97, 1, 75, 96, 1, 75, 96, 1, 74, 96,
1042  1, 74, 95, 1, 74, 95, 1, 73, 95, 1, 73, 94, 1, 73, 94, 1, 72, 94, 1, 72, 93, 1,
1043  71, 93, 1, 71, 93, 1, 71, 92, 1, 70, 92, 1, 70, 92, 1, 70, 91, 1, 69, 91, 1, 69,
1044  91, 1, 69, 90, 1, 68, 90, 1, 68, 90, 1, 68, 89, 1, 67, 89, 1, 67, 89, 1, 67, 88,
1045  1, 66, 88, 1, 66, 88, 1, 66, 87, 1, 65, 87, 1, 65, 87, 1, 65, 86, 1, 64, 86, 1,
1046  64, 86, 1, 64, 85, 1, 63, 85, 1, 63, 85, 1, 63, 84, 1, 62, 84, 1, 62, 84, 1, 62,
1047  83, 1, 61, 83, 1, 61, 83, 1, 61, 82, 1, 60, 82, 1, 60, 82, 1, 60, 81, 1, 59, 81,
1048  1, 59, 81, 1, 59, 80, 1, 58, 80, 1, 58, 80, 1, 58, 79, 1, 57, 79, 1, 57, 79, 1,
1049  57, 78, 1, 56, 78, 1, 56, 78, 1, 56, 77, 1, 55, 77, 1, 55, 77, 1, 55, 76, 1, 54,
1050  76, 1, 54, 76, 1, 54, 75, 1, 53, 75, 1, 53, 74, 1, 53, 74, 1, 52, 74, 1, 52, 73,
1051  1, 52, 73, 1, 51, 73, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 71, 1, 51, 71, 1,
1052  51, 71, 1, 51, 70, 1, 51, 70, 1, 52, 69, 1, 53, 69, 1, 54, 68, 1, 55, 67, 1, 57,
1053  65, 56, 26, 160, 1, 55, 70, 1, 50, 74, 1, 46, 78, 1, 44, 81, 1, 42, 83, 1, 40, 85,
1054  1, 38, 87, 1, 37, 88, 1, 35, 89, 1, 34, 91, 1, 33, 92, 1, 31, 93, 1, 31, 94, 1,
1055  30, 95, 1, 29, 96, 1, 28, 96, 1, 27, 97, 1, 26, 98, 1, 26, 99, 1, 25, 99, 2, 25,
1056  58, 66, 100, 2, 24, 53, 71, 100, 2, 23, 51, 73, 101, 2, 23, 49, 75, 102, 2, 22, 47, 77,
1057  102, 2, 22, 46, 78, 102, 2, 22, 45, 79, 103, 2, 22, 44, 80, 103, 2, 21, 43, 81, 103, 2,
1058  21, 43, 81, 104, 2, 21, 42, 82, 104, 2, 21, 42, 82, 104, 2, 20, 41, 83, 104, 2, 20, 41,
1059  83, 104, 2, 20, 41, 83, 104, 2, 20, 40, 84, 104, 2, 20, 40, 84, 104, 2, 20, 40, 84, 105,
1060  2, 20, 40, 84, 105, 2, 20, 40, 84, 104, 2, 20, 40, 84, 104, 2, 20, 41, 83, 104, 2, 20,
1061  41, 83, 104, 2, 20, 41, 83, 104, 2, 21, 41, 83, 104, 2, 21, 42, 82, 104, 2, 21, 42, 82,
1062  104, 2, 21, 43, 81, 103, 2, 22, 44, 80, 103, 2, 22, 44, 80, 103, 2, 22, 45, 79, 102, 2,
1063  23, 46, 78, 102, 2, 23, 48, 76, 101, 2, 24, 49, 75, 101, 2, 24, 51, 73, 100, 2, 25, 54,
1064  70, 100, 2, 25, 61, 63, 99, 1, 26, 99, 1, 27, 98, 1, 27, 97, 1, 28, 96, 1, 29, 96,
1065  1, 30, 95, 1, 31, 94, 1, 32, 93, 1, 33, 92, 1, 34, 91, 1, 32, 92, 1, 31, 93, 1,
1066  30, 94, 1, 29, 95, 1, 28, 96, 1, 27, 97, 1, 26, 98, 1, 26, 99, 1, 25, 100, 1, 24,
1067  100, 2, 23, 57, 67, 101, 2, 23, 53, 71, 102, 2, 22, 51, 73, 102, 2, 22, 49, 75, 103, 2,
1068  21, 48, 77, 103, 2, 21, 46, 78, 104, 2, 20, 45, 79, 104, 2, 20, 44, 80, 104, 2, 20, 43,
1069  81, 105, 2, 19, 43, 82, 105, 2, 19, 42, 83, 105, 2, 19, 41, 83, 106, 2, 19, 41, 84, 106,
1070  2, 19, 40, 84, 106, 2, 18, 40, 85, 106, 2, 18, 39, 85, 106, 2, 18, 39, 86, 106, 2, 18,
1071  39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86,
1072  106, 2, 18, 38, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 86, 106, 2, 18, 39, 85, 106, 2,
1073  19, 40, 85, 106, 2, 19, 40, 84, 106, 2, 19, 41, 84, 105, 2, 19, 41, 83, 105, 2, 20, 42,
1074  82, 105, 2, 20, 43, 81, 105, 2, 20, 45, 80, 104, 2, 21, 46, 78, 104, 2, 21, 48, 76, 104,
1075  2, 21, 51, 74, 103, 2, 22, 56, 69, 103, 1, 22, 102, 1, 23, 102, 1, 24, 101, 1, 24, 100,
1076  1, 25, 100, 1, 26, 99, 1, 27, 98, 1, 28, 97, 1, 28, 96, 1, 29, 95, 1, 31, 94, 1,
1077  32, 92, 1, 33, 91, 1, 35, 89, 1, 37, 87, 1, 39, 85, 1, 42, 83, 1, 44, 80, 1, 48,
1078  76, 1, 53, 71, 57, 26, 160, 1, 56, 71, 1, 52, 75, 1, 49, 78, 1, 46, 80, 1, 44, 83,
1079  1, 43, 84, 1, 41, 86, 1, 40, 87, 1, 38, 89, 1, 37, 90, 1, 36, 91, 1, 35, 92, 1,
1080  34, 93, 1, 34, 94, 1, 33, 95, 1, 32, 96, 1, 31, 97, 1, 31, 97, 1, 30, 98, 1, 29,
1081  99, 2, 29, 61, 66, 99, 2, 28, 57, 71, 100, 2, 28, 55, 73, 101, 2, 27, 53, 75, 101, 2,
1082  27, 51, 76, 102, 2, 26, 50, 77, 102, 2, 26, 49, 78, 103, 2, 26, 48, 79, 103, 2, 25, 48,
1083  80, 104, 2, 25, 47, 81, 104, 2, 25, 46, 82, 104, 2, 24, 46, 82, 105, 2, 24, 45, 83, 105,
1084  2, 24, 45, 83, 105, 2, 24, 44, 84, 106, 2, 23, 44, 84, 106, 2, 23, 44, 85, 106, 2, 23,
1085  44, 85, 107, 2, 23, 43, 86, 107, 2, 23, 43, 86, 107, 2, 23, 43, 86, 107, 2, 23, 43, 86,
1086  108, 2, 23, 43, 87, 108, 2, 23, 43, 87, 108, 2, 23, 43, 87, 108, 2, 23, 43, 88, 109, 2,
1087  23, 43, 88, 109, 2, 23, 43, 87, 109, 2, 23, 43, 87, 109, 2, 23, 43, 86, 109, 2, 23, 43,
1088  86, 110, 2, 23, 44, 85, 110, 2, 23, 44, 84, 110, 2, 23, 44, 84, 110, 2, 23, 44, 83, 110,
1089  2, 24, 45, 83, 110, 2, 24, 45, 82, 110, 2, 24, 46, 81, 110, 2, 24, 46, 80, 111, 2, 25,
1090  47, 80, 111, 2, 25, 47, 79, 111, 2, 25, 48, 78, 111, 2, 26, 49, 77, 111, 2, 26, 50, 76,
1091  111, 2, 27, 51, 75, 111, 2, 27, 52, 74, 111, 2, 27, 53, 73, 111, 2, 28, 55, 71, 111, 2,
1092  29, 57, 69, 111, 2, 29, 61, 64, 111, 1, 30, 111, 1, 30, 111, 1, 31, 111, 1, 32, 111, 1,
1093  33, 111, 1, 34, 111, 1, 34, 111, 1, 35, 111, 1, 36, 111, 2, 37, 89, 90, 110, 2, 38, 88,
1094  90, 110, 2, 40, 86, 90, 110, 2, 41, 85, 89, 110, 2, 42, 83, 89, 110, 2, 44, 82, 89, 110,
1095  2, 46, 80, 88, 109, 2, 48, 78, 88, 109, 2, 50, 76, 87, 109, 2, 53, 73, 87, 109, 2, 57,
1096  68, 86, 108, 1, 86, 108, 1, 85, 108, 1, 85, 107, 1, 84, 107, 1, 83, 107, 1, 82, 106, 1,
1097  82, 106, 1, 81, 105, 1, 80, 105, 1, 79, 104, 1, 78, 104, 1, 77, 103, 1, 76, 103, 1, 75,
1098  102, 1, 73, 101, 1, 72, 101, 1, 70, 100, 1, 69, 99, 1, 67, 98, 1, 65, 98, 1, 63, 97,
1099  2, 28, 37, 60, 96, 2, 27, 40, 57, 95, 2, 26, 43, 52, 94, 1, 25, 93, 1, 24, 92, 1,
1100  24, 91, 1, 23, 90, 1, 23, 89, 1, 23, 87, 1, 23, 86, 1, 23, 85, 1, 23, 83, 1, 23,
1101  82, 1, 24, 80, 1, 24, 78, 1, 25, 77, 1, 25, 75, 1, 26, 73, 1, 28, 70, 1, 29, 68,
1102  1, 31, 65, 1, 34, 61, 1, 38, 56, 58, 68, 161, 1, 56, 68, 1, 54, 71, 1, 52, 72, 1,
1103  51, 73, 1, 50, 74, 1, 49, 75, 1, 49, 76, 1, 48, 76, 1, 48, 77, 1, 47, 77, 1, 47,
1104  77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 48, 77,
1105  1, 48, 76, 1, 49, 76, 1, 49, 75, 1, 50, 74, 1, 51, 73, 1, 52, 72, 1, 54, 71, 1,
1106  56, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1107  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 57,
1108  67, 1, 55, 70, 1, 53, 72, 1, 51, 73, 1, 50, 74, 1, 50, 75, 1, 49, 76, 1, 48, 76,
1109  1, 48, 77, 1, 48, 77, 1, 47, 77, 1, 47, 77, 1, 47, 77, 1, 47, 78, 1, 47, 77, 1,
1110  47, 77, 1, 47, 77, 1, 48, 77, 1, 48, 77, 1, 49, 76, 1, 49, 75, 1, 50, 75, 1, 51,
1111  74, 1, 52, 73, 1, 53, 71, 1, 55, 69, 1, 59, 66, 59, 68, 179, 1, 67, 76, 1, 64, 79,
1112  1, 62, 81, 1, 61, 82, 1, 60, 83, 1, 59, 84, 1, 58, 85, 1, 58, 85, 1, 57, 86, 1,
1113  57, 86, 1, 57, 86, 1, 57, 87, 1, 56, 87, 1, 56, 87, 1, 56, 87, 1, 57, 87, 1, 57,
1114  86, 1, 57, 86, 1, 57, 86, 1, 58, 85, 1, 58, 85, 1, 59, 84, 1, 60, 83, 1, 61, 82,
1115  1, 62, 81, 1, 64, 79, 1, 67, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1116  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 55,
1117  81, 1, 55, 80, 1, 54, 80, 1, 54, 79, 1, 54, 78, 1, 54, 78, 1, 53, 77, 1, 53, 76,
1118  1, 53, 76, 1, 52, 75, 1, 52, 75, 1, 52, 74, 1, 51, 73, 1, 51, 73, 1, 51, 72, 1,
1119  50, 71, 1, 50, 71, 1, 50, 70, 1, 49, 70, 1, 49, 69, 1, 49, 68, 1, 49, 68, 1, 48,
1120  67, 1, 48, 67, 1, 48, 66, 1, 47, 65, 1, 47, 65, 1, 47, 64, 1, 46, 63, 1, 46, 63,
1121  1, 46, 62, 1, 45, 62, 1, 45, 61, 1, 45, 60, 1, 44, 60, 1, 44, 59, 1, 44, 59, 1,
1122  44, 58, 1, 43, 57, 1, 43, 57, 1, 43, 56, 1, 42, 55, 1, 42, 55, 1, 42, 54, 1, 41,
1123  54, 1, 41, 53, 1, 41, 52, 1, 42, 52, 1, 42, 51, 1, 43, 50, 1, 46, 48, 60, 42, 157,
1124  1, 103, 107, 1, 100, 109, 1, 98, 111, 1, 96, 112, 1, 94, 113, 1, 92, 113, 1, 90, 114, 1,
1125  89, 114, 1, 87, 115, 1, 85, 115, 1, 83, 115, 1, 81, 115, 1, 80, 115, 1, 78, 114, 1, 76,
1126  114, 1, 74, 113, 1, 72, 113, 1, 71, 112, 1, 69, 111, 1, 67, 109, 1, 65, 107, 1, 63, 106,
1127  1, 62, 104, 1, 60, 102, 1, 58, 100, 1, 56, 99, 1, 54, 97, 1, 53, 95, 1, 51, 93, 1,
1128  49, 91, 1, 47, 90, 1, 45, 88, 1, 44, 86, 1, 42, 84, 1, 40, 82, 1, 38, 80, 1, 36,
1129  79, 1, 35, 77, 1, 33, 75, 1, 31, 73, 1, 29, 71, 1, 27, 70, 1, 26, 68, 1, 24, 66,
1130  1, 22, 64, 1, 20, 62, 1, 18, 61, 1, 17, 59, 1, 15, 57, 1, 13, 55, 1, 11, 53, 1,
1131  9, 52, 1, 8, 50, 1, 6, 48, 1, 4, 46, 1, 2, 44, 1, 0, 43, 1, 0, 41, 1, 1,
1132  43, 1, 2, 45, 1, 4, 46, 1, 6, 48, 1, 8, 50, 1, 10, 52, 1, 11, 54, 1, 13, 55,
1133  1, 15, 57, 1, 17, 59, 1, 19, 61, 1, 20, 63, 1, 22, 64, 1, 24, 66, 1, 26, 68, 1,
1134  28, 70, 1, 29, 72, 1, 31, 73, 1, 33, 75, 1, 35, 77, 1, 37, 79, 1, 38, 81, 1, 40,
1135  82, 1, 42, 84, 1, 44, 86, 1, 46, 88, 1, 47, 90, 1, 49, 91, 1, 51, 93, 1, 53, 95,
1136  1, 55, 97, 1, 56, 99, 1, 58, 100, 1, 60, 102, 1, 62, 104, 1, 64, 106, 1, 65, 108, 1,
1137  67, 109, 1, 69, 111, 1, 71, 112, 1, 73, 113, 1, 74, 113, 1, 76, 114, 1, 78, 114, 1, 80,
1138  115, 1, 82, 115, 1, 83, 115, 1, 85, 115, 1, 87, 115, 1, 89, 114, 1, 90, 114, 1, 92, 113,
1139  1, 94, 113, 1, 96, 112, 1, 98, 111, 1, 100, 109, 1, 103, 107, 61, 70, 129, 1, 15, 109, 1,
1140  11, 113, 1, 9, 115, 1, 8, 116, 1, 7, 117, 1, 7, 118, 1, 6, 118, 1, 6, 119, 1, 5,
1141  119, 1, 5, 119, 1, 5, 119, 1, 5, 119, 1, 5, 119, 1, 6, 119, 1, 6, 118, 1, 7, 118,
1142  1, 7, 117, 1, 8, 116, 1, 10, 115, 1, 12, 113, 1, 18, 107, 0, 0, 0, 0, 0, 0, 0,
1143  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 18, 107, 1, 12, 113, 1, 10, 115, 1, 8, 116,
1144  1, 7, 117, 1, 7, 118, 1, 6, 118, 1, 6, 119, 1, 5, 119, 1, 5, 119, 1, 5, 119, 1,
1145  5, 119, 1, 5, 119, 1, 6, 119, 1, 6, 118, 1, 7, 118, 1, 7, 117, 1, 8, 116, 1, 9,
1146  115, 1, 11, 113, 1, 15, 109, 62, 42, 157, 1, 17, 21, 1, 15, 24, 1, 14, 27, 1, 12, 29,
1147  1, 12, 30, 1, 11, 32, 1, 10, 34, 1, 10, 36, 1, 10, 38, 1, 10, 39, 1, 10, 41, 1,
1148  10, 43, 1, 10, 45, 1, 10, 47, 1, 10, 48, 1, 11, 50, 1, 12, 52, 1, 13, 54, 1, 14,
1149  56, 1, 15, 57, 1, 17, 59, 1, 19, 61, 1, 20, 63, 1, 22, 65, 1, 24, 66, 1, 26, 68,
1150  1, 28, 70, 1, 29, 72, 1, 31, 74, 1, 33, 75, 1, 35, 77, 1, 37, 79, 1, 38, 81, 1,
1151  40, 83, 1, 42, 84, 1, 44, 86, 1, 46, 88, 1, 47, 90, 1, 49, 92, 1, 51, 93, 1, 53,
1152  95, 1, 55, 97, 1, 57, 99, 1, 58, 101, 1, 60, 102, 1, 62, 104, 1, 64, 106, 1, 66, 108,
1153  1, 67, 110, 1, 69, 111, 1, 71, 113, 1, 73, 115, 1, 75, 117, 1, 76, 119, 1, 78, 120, 1,
1154  80, 122, 1, 82, 124, 1, 83, 126, 1, 82, 124, 1, 80, 122, 1, 78, 120, 1, 76, 118, 1, 74,
1155  117, 1, 73, 115, 1, 71, 113, 1, 69, 111, 1, 67, 109, 1, 65, 108, 1, 64, 106, 1, 62, 104,
1156  1, 60, 102, 1, 58, 100, 1, 56, 99, 1, 55, 97, 1, 53, 95, 1, 51, 93, 1, 49, 91, 1,
1157  47, 90, 1, 46, 88, 1, 44, 86, 1, 42, 84, 1, 40, 82, 1, 38, 81, 1, 37, 79, 1, 35,
1158  77, 1, 33, 75, 1, 31, 73, 1, 29, 72, 1, 28, 70, 1, 26, 68, 1, 24, 66, 1, 22, 64,
1159  1, 20, 63, 1, 18, 61, 1, 17, 59, 1, 15, 57, 1, 14, 55, 1, 12, 54, 1, 12, 52, 1,
1160  11, 50, 1, 10, 48, 1, 10, 46, 1, 10, 45, 1, 10, 43, 1, 10, 41, 1, 10, 39, 1, 10,
1161  37, 1, 10, 36, 1, 10, 34, 1, 11, 32, 1, 12, 30, 1, 12, 28, 1, 14, 27, 1, 15, 24,
1162  1, 17, 21, 63, 34, 160, 1, 60, 67, 1, 52, 75, 1, 47, 79, 1, 43, 82, 1, 40, 84, 1,
1163  38, 86, 1, 35, 88, 1, 33, 90, 1, 30, 91, 1, 28, 92, 1, 26, 94, 1, 24, 95, 1, 22,
1164  96, 1, 22, 97, 1, 22, 98, 1, 22, 98, 1, 22, 99, 1, 22, 100, 1, 22, 101, 1, 22, 101,
1165  1, 22, 102, 2, 22, 55, 72, 102, 2, 22, 51, 75, 103, 2, 22, 47, 77, 103, 2, 22, 45, 79,
1166  104, 2, 22, 43, 80, 104, 2, 22, 42, 81, 104, 2, 22, 42, 82, 105, 2, 22, 42, 83, 105, 2,
1167  22, 42, 83, 105, 2, 22, 42, 84, 105, 2, 22, 42, 85, 106, 2, 22, 42, 85, 106, 2, 23, 42,
1168  85, 106, 2, 23, 42, 86, 106, 2, 23, 41, 86, 106, 2, 23, 41, 86, 106, 2, 24, 41, 86, 106,
1169  2, 24, 40, 86, 106, 2, 25, 39, 86, 106, 2, 27, 38, 86, 106, 2, 29, 36, 85, 106, 1, 85,
1170  106, 1, 85, 106, 1, 84, 106, 1, 84, 106, 1, 83, 106, 1, 82, 105, 1, 81, 105, 1, 80, 105,
1171  1, 78, 104, 1, 77, 104, 1, 75, 104, 1, 73, 103, 1, 71, 103, 1, 69, 102, 1, 67, 101, 1,
1172  65, 101, 1, 62, 100, 1, 60, 99, 1, 57, 98, 1, 55, 97, 1, 52, 96, 1, 52, 95, 1, 52,
1173  94, 1, 52, 92, 1, 52, 91, 1, 52, 90, 1, 52, 88, 1, 52, 86, 1, 52, 84, 1, 52, 83,
1174  1, 52, 81, 1, 52, 79, 1, 52, 77, 1, 52, 74, 1, 52, 72, 1, 52, 72, 1, 53, 72, 1,
1175  53, 72, 1, 53, 72, 1, 53, 71, 1, 54, 71, 1, 54, 70, 1, 55, 69, 1, 56, 68, 1, 58,
1176  67, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 58, 67,
1177  1, 54, 71, 1, 52, 73, 1, 51, 74, 1, 50, 75, 1, 49, 75, 1, 49, 76, 1, 48, 76, 1,
1178  48, 77, 1, 48, 77, 1, 48, 77, 1, 48, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49,
1179  75, 1, 50, 75, 1, 51, 74, 1, 52, 73, 1, 53, 71, 1, 56, 68, 64, 26, 174, 1, 56, 68,
1180  1, 51, 73, 1, 48, 76, 1, 46, 79, 1, 44, 80, 1, 42, 82, 1, 41, 83, 1, 39, 85, 1,
1181  38, 86, 1, 37, 87, 1, 36, 88, 1, 35, 89, 1, 34, 90, 1, 33, 90, 1, 33, 91, 2, 32,
1182  58, 68, 92, 2, 31, 55, 71, 92, 2, 30, 52, 73, 93, 2, 30, 51, 74, 93, 2, 29, 49, 76,
1183  94, 2, 29, 48, 77, 94, 2, 28, 47, 78, 95, 2, 27, 46, 78, 95, 2, 27, 45, 79, 95, 2,
1184  26, 44, 80, 96, 2, 26, 43, 80, 96, 2, 25, 43, 81, 96, 2, 25, 42, 81, 97, 2, 24, 41,
1185  82, 97, 2, 24, 41, 82, 97, 2, 24, 40, 82, 97, 2, 23, 40, 82, 97, 2, 23, 39, 82, 98,
1186  2, 23, 39, 83, 98, 2, 22, 39, 83, 98, 2, 22, 38, 83, 98, 2, 22, 38, 83, 98, 2, 21,
1187  37, 83, 98, 2, 21, 37, 83, 98, 2, 21, 37, 83, 98, 2, 21, 37, 83, 98, 2, 21, 36, 83,
1188  98, 2, 20, 36, 83, 98, 2, 20, 36, 78, 98, 2, 20, 36, 73, 98, 2, 20, 35, 69, 98, 2,
1189  20, 35, 67, 98, 2, 20, 35, 65, 98, 2, 20, 35, 63, 98, 2, 20, 35, 61, 98, 2, 19, 35,
1190  60, 98, 2, 19, 34, 59, 98, 2, 19, 34, 57, 98, 2, 19, 34, 56, 98, 2, 19, 34, 55, 98,
1191  2, 19, 34, 54, 98, 2, 19, 34, 54, 98, 2, 19, 34, 53, 98, 3, 19, 34, 52, 80, 83, 98,
1192  3, 19, 34, 51, 76, 83, 98, 3, 19, 34, 51, 73, 83, 98, 3, 19, 34, 50, 71, 83, 98, 3,
1193  19, 34, 50, 69, 83, 98, 3, 19, 34, 49, 68, 83, 98, 3, 19, 34, 49, 67, 83, 98, 3, 19,
1194  34, 48, 66, 83, 98, 3, 19, 34, 48, 65, 83, 98, 3, 19, 34, 48, 64, 83, 98, 3, 19, 34,
1195  47, 63, 83, 98, 3, 19, 34, 47, 63, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47,
1196  62, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 61, 83, 98, 3, 19, 34, 46, 61,
1197  83, 98, 3, 19, 34, 46, 61, 83, 98, 3, 19, 34, 46, 61, 83, 98, 3, 19, 34, 47, 61, 83,
1198  98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 62, 83, 98, 3, 19, 34, 47, 62, 83, 98,
1199  3, 19, 34, 47, 63, 83, 98, 3, 19, 34, 47, 63, 83, 98, 3, 19, 34, 48, 64, 83, 98, 3,
1200  19, 34, 48, 65, 83, 98, 3, 19, 34, 48, 66, 83, 98, 3, 19, 34, 49, 67, 83, 98, 3, 19,
1201  34, 49, 69, 83, 98, 3, 19, 34, 50, 71, 83, 98, 3, 19, 34, 50, 74, 83, 98, 2, 19, 34,
1202  51, 98, 2, 19, 34, 51, 99, 2, 19, 34, 52, 100, 2, 19, 34, 53, 101, 2, 19, 34, 54, 102,
1203  2, 19, 34, 55, 102, 2, 19, 34, 55, 102, 2, 19, 35, 57, 102, 2, 20, 35, 58, 102, 2, 20,
1204  35, 59, 102, 2, 20, 35, 60, 101, 2, 20, 35, 62, 101, 2, 20, 35, 64, 100, 2, 20, 36, 67,
1205  99, 3, 20, 36, 70, 82, 83, 97, 1, 21, 36, 1, 21, 36, 1, 21, 36, 1, 21, 37, 1, 22,
1206  37, 1, 22, 37, 1, 22, 38, 1, 22, 38, 1, 23, 38, 1, 23, 39, 1, 23, 39, 1, 24, 40,
1207  1, 24, 40, 1, 24, 41, 1, 25, 41, 1, 25, 42, 1, 25, 43, 1, 26, 43, 1, 26, 44, 2,
1208  27, 44, 87, 92, 2, 27, 45, 85, 93, 2, 28, 46, 84, 94, 2, 28, 47, 82, 95, 2, 29, 48,
1209  81, 96, 2, 29, 50, 80, 96, 2, 30, 51, 77, 96, 2, 31, 54, 75, 96, 2, 31, 57, 71, 96,
1210  1, 32, 96, 1, 33, 96, 1, 34, 95, 1, 35, 95, 1, 36, 94, 1, 37, 93, 1, 38, 92, 1,
1211  39, 91, 1, 40, 89, 1, 42, 87, 1, 43, 86, 1, 45, 84, 1, 48, 80, 1, 50, 77, 1, 55,
1212  71, 65, 37, 157, 1, 25, 73, 1, 22, 74, 1, 20, 74, 1, 19, 74, 1, 18, 75, 1, 17, 75,
1213  1, 17, 76, 1, 16, 76, 1, 16, 77, 1, 16, 77, 1, 16, 77, 1, 16, 78, 1, 16, 78, 1,
1214  16, 79, 1, 17, 79, 1, 17, 79, 1, 18, 80, 1, 19, 80, 1, 20, 81, 1, 22, 81, 1, 27,
1215  81, 1, 42, 82, 1, 42, 82, 1, 41, 83, 1, 41, 83, 1, 41, 83, 1, 40, 84, 1, 40, 84,
1216  2, 39, 62, 63, 85, 2, 39, 61, 63, 85, 2, 39, 61, 63, 85, 2, 38, 60, 64, 86, 2, 38,
1217  60, 64, 86, 2, 37, 60, 65, 87, 2, 37, 59, 65, 87, 2, 37, 59, 66, 87, 2, 36, 58, 66,
1218  88, 2, 36, 58, 66, 88, 2, 35, 57, 67, 89, 2, 35, 57, 67, 89, 2, 35, 57, 68, 89, 2,
1219  34, 56, 68, 90, 2, 34, 56, 68, 90, 2, 33, 55, 69, 91, 2, 33, 55, 69, 91, 2, 33, 55,
1220  70, 92, 2, 32, 54, 70, 92, 2, 32, 54, 70, 92, 2, 31, 53, 71, 93, 2, 31, 53, 71, 93,
1221  2, 31, 53, 72, 94, 2, 30, 52, 72, 94, 2, 30, 52, 72, 94, 2, 29, 51, 73, 95, 2, 29,
1222  51, 73, 95, 2, 29, 51, 74, 96, 2, 28, 50, 74, 96, 2, 28, 50, 74, 96, 2, 27, 49, 75,
1223  97, 2, 27, 49, 75, 97, 2, 27, 48, 76, 98, 2, 26, 48, 76, 98, 2, 26, 48, 76, 98, 2,
1224  25, 47, 77, 99, 2, 25, 47, 77, 99, 2, 25, 46, 78, 100, 2, 24, 46, 78, 100, 1, 24, 100,
1225  1, 23, 101, 1, 23, 101, 1, 23, 102, 1, 22, 102, 1, 22, 102, 1, 21, 103, 1, 21, 103, 1,
1226  21, 104, 1, 20, 104, 1, 20, 104, 1, 19, 105, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18,
1227  106, 1, 17, 107, 1, 17, 107, 1, 17, 108, 1, 16, 108, 1, 16, 109, 2, 15, 37, 87, 109, 2,
1228  15, 37, 88, 109, 2, 15, 36, 88, 110, 2, 14, 36, 88, 110, 2, 14, 36, 89, 111, 2, 13, 35,
1229  89, 111, 2, 13, 35, 90, 111, 2, 13, 34, 90, 112, 2, 12, 34, 90, 112, 2, 12, 34, 91, 113,
1230  2, 11, 33, 91, 113, 2, 11, 33, 92, 113, 2, 5, 43, 81, 120, 2, 2, 46, 78, 123, 2, 0,
1231  48, 77, 124, 2, 0, 49, 76, 125, 2, 0, 50, 75, 126, 2, 0, 50, 74, 126, 2, 0, 51, 74,
1232  127, 2, 0, 51, 74, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 128, 2,
1233  0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 74, 127, 2, 0, 50, 74, 127, 2, 0, 50,
1234  75, 126, 2, 0, 49, 75, 125, 2, 0, 48, 76, 124, 2, 1, 47, 78, 123, 2, 4, 44, 80, 120,
1235  66, 37, 157, 1, 13, 73, 1, 10, 80, 1, 8, 84, 1, 7, 86, 1, 6, 89, 1, 5, 91, 1,
1236  5, 92, 1, 4, 94, 1, 4, 95, 1, 4, 97, 1, 4, 98, 1, 4, 99, 1, 4, 100, 1, 4,
1237  101, 1, 5, 101, 1, 5, 102, 1, 6, 103, 1, 7, 104, 1, 8, 104, 1, 10, 105, 1, 15, 105,
1238  2, 21, 41, 76, 106, 2, 21, 41, 79, 106, 2, 21, 41, 82, 107, 2, 21, 41, 83, 107, 2, 21,
1239  41, 84, 107, 2, 21, 41, 85, 108, 2, 21, 41, 86, 108, 2, 21, 41, 87, 108, 2, 21, 41, 87,
1240  108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2,
1241  21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 108, 2, 21, 41,
1242  88, 108, 2, 21, 41, 87, 108, 2, 21, 41, 86, 108, 2, 21, 41, 86, 108, 2, 21, 41, 85, 108,
1243  2, 21, 41, 84, 107, 2, 21, 41, 82, 107, 2, 21, 41, 81, 107, 2, 21, 41, 79, 106, 2, 21,
1244  41, 77, 106, 2, 21, 41, 74, 105, 2, 21, 41, 70, 105, 1, 21, 104, 1, 21, 104, 1, 21, 103,
1245  1, 21, 102, 1, 21, 101, 1, 21, 100, 1, 21, 99, 1, 21, 99, 1, 21, 100, 1, 21, 101, 1,
1246  21, 103, 1, 21, 104, 1, 21, 105, 1, 21, 106, 1, 21, 107, 1, 21, 108, 1, 21, 109, 1, 21,
1247  110, 1, 21, 111, 1, 21, 112, 2, 21, 41, 70, 112, 2, 21, 41, 78, 113, 2, 21, 41, 82, 113,
1248  2, 21, 41, 85, 114, 2, 21, 41, 87, 115, 2, 21, 41, 88, 115, 2, 21, 41, 90, 115, 2, 21,
1249  41, 91, 116, 2, 21, 41, 92, 116, 2, 21, 41, 93, 116, 2, 21, 41, 94, 117, 2, 21, 41, 95,
1250  117, 2, 21, 41, 95, 117, 2, 21, 41, 96, 117, 2, 21, 41, 96, 117, 2, 21, 41, 97, 117, 2,
1251  21, 41, 97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 97, 118, 2, 21, 41, 97, 117, 2, 21, 41,
1252  97, 117, 2, 21, 41, 97, 117, 2, 21, 41, 96, 117, 2, 21, 41, 96, 117, 2, 21, 41, 95, 117,
1253  2, 21, 41, 94, 117, 2, 21, 41, 93, 117, 2, 21, 41, 91, 116, 2, 21, 41, 88, 116, 2, 21,
1254  41, 83, 116, 1, 12, 115, 1, 9, 115, 1, 8, 114, 1, 6, 114, 1, 6, 113, 1, 5, 112, 1,
1255  5, 112, 1, 4, 111, 1, 4, 110, 1, 4, 109, 1, 4, 108, 1, 4, 107, 1, 4, 105, 1, 5,
1256  104, 1, 5, 102, 1, 5, 100, 1, 6, 98, 1, 7, 96, 1, 9, 92, 1, 11, 88, 67, 34, 160,
1257  1, 59, 67, 1, 52, 76, 1, 48, 80, 2, 45, 83, 101, 105, 2, 42, 86, 98, 108, 2, 40, 88,
1258  97, 109, 2, 38, 90, 96, 110, 2, 36, 92, 95, 111, 1, 34, 111, 1, 33, 112, 1, 31, 112, 1,
1259  30, 112, 1, 28, 113, 1, 27, 113, 1, 26, 113, 1, 25, 113, 1, 24, 113, 1, 23, 113, 1, 22,
1260  113, 1, 21, 113, 1, 21, 113, 2, 20, 56, 72, 113, 2, 19, 52, 76, 113, 2, 18, 49, 79, 113,
1261  2, 18, 47, 82, 113, 2, 17, 46, 84, 113, 2, 16, 44, 85, 113, 2, 16, 43, 87, 113, 2, 15,
1262  41, 88, 113, 2, 15, 40, 89, 113, 2, 14, 39, 90, 113, 2, 14, 38, 91, 113, 2, 13, 37, 91,
1263  113, 2, 13, 37, 92, 113, 2, 12, 36, 92, 113, 2, 12, 35, 92, 113, 2, 12, 34, 93, 113, 2,
1264  11, 34, 93, 113, 2, 11, 33, 93, 112, 2, 11, 33, 93, 112, 2, 10, 32, 94, 112, 2, 10, 31,
1265  94, 112, 2, 10, 31, 94, 111, 2, 9, 31, 95, 111, 2, 9, 30, 96, 110, 2, 9, 30, 97, 109,
1266  2, 9, 30, 98, 107, 2, 9, 29, 102, 104, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 28,
1267  1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1,
1268  8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8,
1269  28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28,
1270  1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1,
1271  9, 29, 1, 9, 30, 1, 9, 30, 1, 9, 30, 1, 9, 31, 1, 10, 31, 1, 10, 32, 1, 10,
1272  32, 1, 11, 33, 1, 11, 34, 2, 12, 34, 103, 109, 2, 12, 35, 101, 111, 2, 12, 36, 99, 113,
1273  2, 13, 37, 98, 114, 2, 13, 38, 97, 114, 2, 14, 39, 96, 115, 2, 14, 40, 95, 115, 2, 15,
1274  42, 94, 116, 2, 16, 43, 93, 116, 2, 16, 45, 91, 116, 2, 17, 47, 90, 116, 2, 18, 49, 88,
1275  116, 2, 18, 51, 85, 116, 2, 19, 56, 82, 115, 2, 20, 62, 76, 115, 1, 21, 114, 1, 22, 114,
1276  1, 22, 113, 1, 23, 112, 1, 24, 111, 1, 25, 110, 1, 27, 109, 1, 28, 108, 1, 29, 107, 1,
1277  30, 106, 1, 32, 104, 1, 34, 103, 1, 35, 101, 1, 37, 99, 1, 40, 97, 1, 42, 95, 1, 45,
1278  92, 1, 48, 89, 1, 52, 84, 1, 58, 79, 68, 37, 157, 1, 14, 64, 1, 10, 71, 1, 8, 75,
1279  1, 7, 78, 1, 6, 81, 1, 5, 83, 1, 5, 85, 1, 5, 87, 1, 4, 89, 1, 4, 90, 1,
1280  4, 92, 1, 4, 93, 1, 4, 94, 1, 5, 95, 1, 5, 96, 1, 6, 97, 1, 6, 98, 1, 7,
1281  98, 1, 8, 99, 1, 10, 100, 1, 15, 101, 2, 17, 37, 67, 101, 2, 17, 37, 71, 102, 2, 17,
1282  37, 74, 103, 2, 17, 37, 76, 103, 2, 17, 37, 77, 104, 2, 17, 37, 79, 105, 2, 17, 37, 80,
1283  105, 2, 17, 37, 81, 106, 2, 17, 37, 82, 106, 2, 17, 37, 83, 107, 2, 17, 37, 84, 107, 2,
1284  17, 37, 84, 108, 2, 17, 37, 85, 108, 2, 17, 37, 86, 109, 2, 17, 37, 87, 109, 2, 17, 37,
1285  87, 110, 2, 17, 37, 88, 110, 2, 17, 37, 88, 110, 2, 17, 37, 89, 111, 2, 17, 37, 89, 111,
1286  2, 17, 37, 90, 111, 2, 17, 37, 90, 112, 2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17,
1287  37, 91, 112, 2, 17, 37, 92, 112, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92,
1288  113, 2, 17, 37, 92, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2,
1289  17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37,
1290  93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113,
1291  2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17,
1292  37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93, 113, 2, 17, 37, 93,
1293  113, 2, 17, 37, 93, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2, 17, 37, 92, 113, 2,
1294  17, 37, 92, 113, 2, 17, 37, 92, 112, 2, 17, 37, 91, 112, 2, 17, 37, 91, 112, 2, 17, 37,
1295  91, 112, 2, 17, 37, 90, 112, 2, 17, 37, 90, 111, 2, 17, 37, 90, 111, 2, 17, 37, 89, 111,
1296  2, 17, 37, 88, 111, 2, 17, 37, 88, 110, 2, 17, 37, 87, 110, 2, 17, 37, 86, 109, 2, 17,
1297  37, 85, 109, 2, 17, 37, 85, 109, 2, 17, 37, 84, 108, 2, 17, 37, 82, 108, 2, 17, 37, 81,
1298  107, 2, 17, 37, 80, 107, 2, 17, 37, 78, 106, 2, 17, 37, 77, 105, 2, 17, 37, 74, 105, 2,
1299  17, 37, 71, 104, 2, 17, 37, 66, 104, 1, 12, 103, 1, 9, 102, 1, 8, 101, 1, 7, 100, 1,
1300  6, 99, 1, 5, 98, 1, 5, 97, 1, 4, 96, 1, 4, 95, 1, 4, 94, 1, 4, 92, 1, 4,
1301  91, 1, 4, 89, 1, 5, 88, 1, 5, 86, 1, 6, 84, 1, 6, 82, 1, 7, 79, 1, 9, 75,
1302  1, 11, 69, 69, 37, 157, 1, 14, 109, 1, 10, 109, 1, 8, 109, 1, 7, 109, 1, 6, 109, 1,
1303  5, 109, 1, 5, 109, 1, 5, 109, 1, 4, 109, 1, 4, 109, 1, 4, 109, 1, 4, 109, 1, 4,
1304  109, 1, 5, 109, 1, 5, 109, 1, 6, 109, 1, 6, 109, 1, 7, 109, 1, 8, 109, 1, 10, 109,
1305  1, 16, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89,
1306  109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2,
1307  21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41, 89, 109, 2, 21, 41,
1308  89, 109, 2, 21, 41, 89, 109, 3, 21, 41, 66, 73, 89, 108, 3, 21, 41, 64, 75, 89, 108, 3,
1309  21, 41, 62, 76, 89, 108, 3, 21, 41, 62, 77, 90, 108, 3, 21, 41, 61, 78, 90, 107, 3, 21,
1310  41, 60, 78, 91, 107, 3, 21, 41, 60, 78, 91, 106, 3, 21, 41, 60, 79, 92, 105, 3, 21, 41,
1311  59, 79, 94, 104, 3, 21, 41, 59, 79, 97, 100, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2,
1312  21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 1, 21, 79, 1, 21, 79, 1, 21,
1313  79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79,
1314  1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1, 21, 79, 1,
1315  21, 79, 1, 21, 79, 1, 21, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 2, 21, 41, 59,
1316  79, 2, 21, 41, 59, 79, 2, 21, 41, 59, 79, 3, 21, 41, 59, 79, 102, 104, 3, 21, 41, 59,
1317  79, 99, 108, 3, 21, 41, 60, 79, 97, 109, 3, 21, 41, 60, 79, 96, 110, 3, 21, 41, 60, 78,
1318  95, 111, 3, 21, 41, 61, 78, 95, 112, 3, 21, 41, 61, 77, 94, 112, 3, 21, 41, 62, 76, 94,
1319  113, 3, 21, 41, 63, 75, 94, 113, 3, 21, 41, 65, 73, 93, 113, 2, 21, 41, 93, 113, 2, 21,
1320  41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93,
1321  113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2,
1322  21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41, 93, 113, 2, 21, 41,
1323  93, 113, 1, 13, 113, 1, 9, 113, 1, 8, 113, 1, 7, 113, 1, 6, 113, 1, 5, 113, 1, 5,
1324  113, 1, 5, 113, 1, 4, 113, 1, 4, 113, 1, 4, 113, 1, 4, 113, 1, 5, 113, 1, 5, 113,
1325  1, 5, 113, 1, 6, 113, 1, 7, 113, 1, 7, 113, 1, 9, 113, 1, 11, 113, 70, 37, 157, 1,
1326  21, 120, 1, 17, 120, 1, 15, 120, 1, 14, 120, 1, 13, 120, 1, 12, 120, 1, 12, 120, 1, 12,
1327  120, 1, 11, 120, 1, 11, 120, 1, 11, 120, 1, 11, 120, 1, 11, 120, 1, 12, 120, 1, 12, 120,
1328  1, 13, 120, 1, 13, 120, 1, 14, 120, 1, 15, 120, 1, 17, 120, 1, 22, 120, 2, 28, 48, 100,
1329  120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2,
1330  28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48,
1331  100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120, 2, 28, 48, 100, 120,
1332  3, 28, 48, 73, 79, 100, 120, 3, 28, 48, 71, 82, 100, 120, 3, 28, 48, 69, 83, 101, 120, 3,
1333  28, 48, 69, 84, 101, 119, 3, 28, 48, 68, 84, 101, 119, 3, 28, 48, 67, 85, 102, 118, 3, 28,
1334  48, 67, 85, 103, 117, 3, 28, 48, 67, 86, 104, 116, 3, 28, 48, 66, 86, 105, 115, 3, 28, 48,
1335  66, 86, 108, 112, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48,
1336  66, 86, 2, 28, 48, 66, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86,
1337  1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1,
1338  28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28, 86, 1, 28,
1339  86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2,
1340  28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 66, 86, 2, 28, 48, 67, 86, 2, 28, 48,
1341  67, 85, 2, 28, 48, 67, 85, 2, 28, 48, 67, 85, 2, 28, 48, 68, 84, 2, 28, 48, 69, 83,
1342  2, 28, 48, 70, 82, 2, 28, 48, 72, 80, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48,
1343  1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1,
1344  28, 48, 1, 28, 48, 1, 28, 48, 1, 28, 48, 1, 19, 74, 1, 16, 77, 1, 15, 79, 1, 14,
1345  80, 1, 13, 81, 1, 12, 81, 1, 12, 82, 1, 12, 82, 1, 11, 82, 1, 11, 82, 1, 11, 82,
1346  1, 11, 82, 1, 11, 82, 1, 12, 82, 1, 12, 82, 1, 13, 81, 1, 13, 80, 1, 14, 79, 1,
1347  16, 78, 1, 18, 75, 71, 34, 160, 1, 60, 70, 1, 53, 78, 1, 49, 83, 2, 45, 86, 102, 105,
1348  2, 43, 89, 99, 108, 2, 40, 92, 97, 109, 2, 38, 94, 96, 111, 1, 36, 111, 1, 35, 112, 1,
1349  33, 112, 1, 32, 112, 1, 30, 113, 1, 29, 113, 1, 28, 113, 1, 27, 113, 1, 26, 113, 1, 25,
1350  113, 1, 24, 113, 1, 23, 113, 1, 22, 113, 1, 21, 113, 2, 20, 56, 76, 113, 2, 20, 52, 80,
1351  113, 2, 19, 49, 83, 113, 2, 18, 47, 86, 113, 2, 17, 45, 88, 113, 2, 17, 44, 89, 113, 2,
1352  16, 42, 90, 113, 2, 16, 41, 91, 113, 2, 15, 40, 92, 113, 2, 14, 39, 92, 113, 2, 14, 38,
1353  93, 113, 2, 13, 37, 93, 113, 2, 13, 37, 93, 113, 2, 12, 36, 94, 113, 2, 12, 35, 94, 113,
1354  2, 12, 34, 94, 112, 2, 11, 34, 95, 112, 2, 11, 33, 95, 112, 2, 11, 33, 95, 111, 2, 10,
1355  32, 96, 110, 2, 10, 32, 97, 109, 2, 10, 31, 99, 107, 1, 9, 31, 1, 9, 30, 1, 9, 30,
1356  1, 9, 30, 1, 9, 29, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 29, 1, 8, 28, 1,
1357  8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8,
1358  28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 1, 8, 28, 2, 8, 28, 66, 114, 2,
1359  8, 28, 63, 117, 2, 8, 28, 62, 119, 2, 8, 28, 61, 119, 2, 8, 28, 60, 120, 2, 8, 28,
1360  60, 121, 2, 8, 28, 59, 121, 2, 8, 28, 59, 122, 2, 8, 28, 59, 122, 2, 8, 28, 59, 122,
1361  2, 8, 28, 59, 122, 2, 8, 28, 59, 122, 2, 8, 28, 59, 121, 2, 8, 28, 59, 121, 2, 8,
1362  29, 60, 121, 2, 8, 29, 60, 120, 2, 9, 29, 61, 119, 2, 9, 29, 62, 118, 2, 9, 30, 64,
1363  117, 2, 9, 30, 66, 115, 2, 9, 30, 93, 113, 2, 10, 31, 93, 113, 2, 10, 31, 93, 113, 2,
1364  10, 32, 93, 113, 2, 10, 32, 93, 113, 2, 11, 33, 93, 113, 2, 11, 33, 93, 113, 2, 12, 34,
1365  93, 113, 2, 12, 35, 93, 113, 2, 12, 36, 93, 113, 2, 13, 37, 93, 113, 2, 13, 37, 93, 113,
1366  2, 14, 39, 93, 113, 2, 14, 40, 93, 113, 2, 15, 42, 93, 113, 2, 15, 44, 91, 113, 2, 16,
1367  46, 88, 113, 2, 17, 49, 85, 113, 2, 17, 53, 81, 113, 2, 18, 59, 75, 113, 1, 19, 113, 1,
1368  19, 113, 1, 20, 113, 1, 21, 113, 1, 22, 113, 1, 23, 113, 1, 24, 113, 1, 25, 113, 1, 26,
1369  111, 1, 28, 109, 1, 29, 107, 1, 31, 105, 1, 33, 103, 1, 35, 101, 1, 37, 98, 1, 40, 96,
1370  1, 43, 93, 1, 47, 90, 1, 51, 85, 1, 58, 80, 72, 37, 157, 2, 19, 47, 77, 105, 2, 16,
1371  52, 73, 109, 2, 14, 54, 72, 111, 2, 13, 55, 70, 113, 2, 12, 56, 69, 114, 2, 11, 56, 69,
1372  114, 2, 11, 57, 68, 115, 2, 10, 57, 68, 115, 2, 10, 58, 68, 115, 2, 10, 58, 68, 115, 2,
1373  10, 58, 68, 115, 2, 10, 58, 68, 115, 2, 10, 58, 68, 115, 2, 10, 57, 68, 115, 2, 11, 57,
1374  68, 115, 2, 11, 56, 69, 114, 2, 12, 56, 70, 113, 2, 13, 55, 70, 112, 2, 14, 54, 72, 111,
1375  2, 16, 52, 74, 109, 2, 20, 46, 79, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1376  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1377  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
1378  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1379  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
1380  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1381  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1382  105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105,
1383  1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1,
1384  21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 2, 21,
1385  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1386  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
1387  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
1388  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
1389  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
1390  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
1391  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 13, 49, 76, 112, 2, 10, 53, 73, 115, 2,
1392  9, 54, 71, 116, 2, 8, 55, 70, 117, 2, 7, 56, 69, 118, 2, 7, 57, 69, 118, 2, 6, 57,
1393  68, 119, 2, 6, 57, 68, 119, 2, 6, 58, 68, 119, 2, 6, 58, 68, 119, 2, 6, 58, 68, 119,
1394  2, 6, 58, 68, 119, 2, 6, 57, 68, 119, 2, 6, 57, 68, 119, 2, 7, 57, 69, 119, 2, 7,
1395  56, 69, 118, 2, 8, 55, 70, 117, 2, 9, 54, 71, 116, 2, 10, 53, 72, 115, 2, 13, 51, 75,
1396  112, 73, 37, 157, 1, 27, 96, 1, 24, 100, 1, 22, 102, 1, 21, 104, 1, 20, 104, 1, 19, 105,
1397  1, 19, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1,
1398  18, 106, 1, 19, 105, 1, 19, 105, 1, 20, 104, 1, 21, 103, 1, 22, 102, 1, 24, 100, 1, 29,
1399  95, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1400  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1401  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1402  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1403  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1404  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1405  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1406  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1407  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1408  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1409  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 26, 98, 1,
1410  23, 101, 1, 21, 103, 1, 20, 104, 1, 20, 105, 1, 19, 105, 1, 19, 106, 1, 18, 106, 1, 18,
1411  106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 18, 106, 1, 19, 105, 1, 19, 105,
1412  1, 20, 104, 1, 21, 103, 1, 23, 102, 1, 25, 99, 74, 37, 160, 1, 51, 115, 1, 48, 120, 1,
1413  46, 122, 1, 44, 123, 1, 44, 124, 1, 43, 124, 1, 43, 125, 1, 42, 125, 1, 42, 126, 1, 42,
1414  126, 1, 42, 126, 1, 42, 126, 1, 42, 126, 1, 42, 125, 1, 43, 125, 1, 43, 124, 1, 44, 124,
1415  1, 45, 123, 1, 46, 122, 1, 48, 120, 1, 53, 114, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1,
1416  80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80,
1417  100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100,
1418  1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1,
1419  80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80,
1420  100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100, 1, 80, 100,
1421  1, 80, 100, 1, 80, 100, 2, 19, 26, 80, 100, 2, 17, 28, 80, 100, 2, 16, 29, 80, 100, 2,
1422  15, 30, 80, 100, 2, 14, 31, 80, 100, 2, 13, 31, 80, 100, 2, 13, 31, 80, 100, 2, 13, 32,
1423  80, 100, 2, 13, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100,
1424  2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12,
1425  32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80,
1426  100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2, 12, 32, 80, 100, 2,
1427  12, 32, 79, 100, 2, 12, 32, 79, 100, 2, 12, 32, 78, 100, 2, 12, 32, 78, 99, 2, 12, 32,
1428  77, 99, 2, 12, 32, 77, 99, 2, 12, 32, 76, 99, 2, 12, 32, 75, 98, 2, 12, 33, 74, 98,
1429  2, 12, 35, 72, 98, 2, 12, 37, 71, 97, 2, 12, 40, 69, 97, 2, 12, 43, 67, 96, 2, 12,
1430  46, 64, 96, 2, 12, 51, 60, 95, 1, 12, 94, 1, 12, 94, 1, 12, 93, 1, 12, 92, 1, 12,
1431  91, 1, 12, 90, 1, 12, 89, 1, 14, 88, 1, 16, 87, 1, 18, 86, 1, 20, 85, 1, 22, 83,
1432  1, 25, 82, 1, 27, 80, 1, 30, 78, 1, 33, 76, 1, 36, 74, 1, 39, 71, 1, 43, 68, 1,
1433  47, 64, 75, 37, 157, 2, 13, 52, 81, 109, 2, 10, 56, 77, 113, 2, 8, 58, 75, 115, 2, 7,
1434  59, 74, 117, 2, 6, 60, 73, 117, 2, 5, 61, 73, 118, 2, 5, 61, 72, 118, 2, 4, 61, 72,
1435  119, 2, 4, 62, 72, 119, 2, 4, 62, 72, 119, 2, 4, 62, 71, 119, 2, 4, 62, 72, 119, 2,
1436  4, 62, 72, 119, 2, 4, 61, 72, 119, 2, 5, 61, 72, 118, 2, 5, 61, 73, 118, 2, 6, 60,
1437  73, 117, 2, 7, 59, 74, 116, 2, 8, 58, 76, 115, 2, 10, 56, 77, 113, 2, 15, 51, 76, 108,
1438  2, 21, 41, 75, 105, 2, 21, 41, 74, 104, 2, 21, 41, 73, 103, 2, 21, 41, 71, 102, 2, 21,
1439  41, 70, 101, 2, 21, 41, 69, 100, 2, 21, 41, 68, 99, 2, 21, 41, 67, 97, 2, 21, 41, 66,
1440  96, 2, 21, 41, 64, 95, 2, 21, 41, 63, 94, 2, 21, 41, 62, 93, 2, 21, 41, 61, 92, 2,
1441  21, 41, 60, 90, 2, 21, 41, 59, 89, 2, 21, 41, 57, 88, 2, 21, 41, 56, 87, 2, 21, 41,
1442  55, 86, 2, 21, 41, 54, 85, 2, 21, 41, 53, 84, 2, 21, 41, 52, 82, 2, 21, 41, 50, 81,
1443  2, 21, 41, 49, 80, 2, 21, 41, 48, 79, 2, 21, 41, 47, 78, 2, 21, 41, 46, 77, 2, 21,
1444  41, 45, 76, 2, 21, 41, 43, 74, 2, 21, 41, 42, 73, 1, 21, 72, 1, 21, 71, 1, 21, 70,
1445  1, 21, 72, 1, 21, 73, 1, 21, 75, 1, 21, 76, 1, 21, 77, 1, 21, 78, 1, 21, 79, 1,
1446  21, 80, 1, 21, 81, 1, 21, 82, 1, 21, 83, 1, 21, 84, 1, 21, 85, 1, 21, 86, 2, 21,
1447  53, 55, 87, 2, 21, 52, 57, 88, 2, 21, 50, 59, 89, 2, 21, 49, 60, 89, 2, 21, 48, 62,
1448  90, 2, 21, 47, 63, 91, 2, 21, 46, 64, 91, 2, 21, 44, 66, 92, 2, 21, 43, 67, 93, 2,
1449  21, 42, 68, 93, 2, 21, 41, 69, 94, 2, 21, 41, 70, 95, 2, 21, 41, 70, 95, 2, 21, 41,
1450  71, 96, 2, 21, 41, 72, 96, 2, 21, 41, 73, 97, 2, 21, 41, 73, 97, 2, 21, 41, 74, 98,
1451  2, 21, 41, 75, 98, 2, 21, 41, 75, 99, 2, 21, 41, 76, 99, 2, 21, 41, 77, 100, 2, 21,
1452  41, 77, 100, 2, 21, 41, 78, 101, 2, 21, 41, 78, 101, 2, 21, 41, 79, 102, 2, 21, 41, 79,
1453  102, 2, 21, 41, 80, 103, 2, 21, 41, 80, 103, 2, 21, 41, 81, 104, 2, 21, 41, 81, 104, 2,
1454  21, 41, 82, 104, 2, 21, 41, 82, 105, 2, 12, 54, 83, 116, 2, 9, 57, 83, 119, 2, 8, 58,
1455  84, 120, 2, 6, 59, 84, 121, 2, 6, 60, 85, 122, 2, 5, 61, 85, 123, 2, 5, 61, 86, 123,
1456  2, 4, 61, 86, 124, 2, 4, 62, 87, 124, 2, 4, 62, 87, 124, 2, 4, 62, 88, 124, 2, 4,
1457  62, 88, 124, 2, 4, 62, 89, 124, 2, 5, 61, 89, 123, 2, 5, 61, 89, 123, 2, 5, 60, 90,
1458  122, 2, 6, 60, 90, 122, 2, 7, 59, 91, 121, 2, 9, 57, 91, 119, 2, 11, 55, 92, 117, 76,
1459  37, 157, 1, 18, 69, 1, 14, 73, 1, 12, 75, 1, 11, 76, 1, 10, 77, 1, 9, 78, 1, 9,
1460  78, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79, 1, 8, 79,
1461  1, 9, 78, 1, 9, 78, 1, 10, 77, 1, 11, 76, 1, 12, 75, 1, 14, 73, 1, 19, 68, 1,
1462  33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33,
1463  54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54,
1464  1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1,
1465  33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33,
1466  54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54,
1467  1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1, 33, 54, 1,
1468  33, 54, 1, 33, 54, 2, 33, 54, 105, 110, 2, 33, 54, 103, 112, 2, 33, 54, 101, 114, 2, 33,
1469  54, 100, 115, 2, 33, 54, 99, 116, 2, 33, 54, 99, 116, 2, 33, 54, 98, 117, 2, 33, 54, 98,
1470  117, 2, 33, 54, 98, 117, 2, 33, 54, 98, 117, 2, 33, 54, 98, 117, 2, 33, 54, 97, 117, 2,
1471  33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54,
1472  97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118,
1473  2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33,
1474  54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97,
1475  118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 2, 33, 54, 97, 118, 1, 16, 118, 1, 13, 118,
1476  1, 12, 118, 1, 10, 118, 1, 10, 118, 1, 9, 118, 1, 9, 118, 1, 8, 118, 1, 8, 118, 1,
1477  8, 118, 1, 8, 118, 1, 8, 118, 1, 8, 118, 1, 9, 118, 1, 9, 118, 1, 10, 118, 1, 10,
1478  118, 1, 11, 118, 1, 13, 118, 1, 15, 118, 77, 37, 157, 2, 9, 35, 90, 116, 2, 5, 36, 89,
1479  120, 2, 3, 36, 89, 122, 2, 2, 37, 88, 123, 2, 1, 37, 88, 124, 2, 1, 37, 87, 125, 2,
1480  0, 38, 87, 125, 2, 0, 38, 87, 125, 2, 0, 39, 86, 126, 2, 0, 39, 86, 126, 2, 0, 40,
1481  85, 126, 2, 0, 40, 85, 126, 2, 0, 41, 84, 126, 2, 0, 41, 84, 125, 2, 0, 42, 83, 125,
1482  2, 1, 42, 83, 124, 2, 1, 42, 83, 124, 2, 2, 43, 82, 123, 2, 4, 43, 82, 121, 2, 5,
1483  44, 81, 120, 2, 10, 44, 81, 116, 2, 10, 45, 80, 115, 2, 10, 45, 80, 115, 2, 10, 46, 80,
1484  115, 2, 10, 46, 79, 115, 2, 10, 47, 79, 115, 2, 10, 47, 78, 115, 2, 10, 47, 78, 115, 2,
1485  10, 48, 77, 115, 2, 10, 48, 77, 115, 2, 10, 49, 76, 115, 2, 10, 49, 76, 115, 2, 10, 50,
1486  76, 115, 2, 10, 50, 75, 115, 2, 10, 51, 75, 115, 2, 10, 51, 74, 115, 2, 10, 51, 74, 115,
1487  2, 10, 52, 73, 115, 2, 10, 52, 73, 115, 2, 10, 53, 72, 115, 4, 10, 30, 31, 53, 72, 94,
1488  95, 115, 4, 10, 30, 31, 54, 72, 94, 95, 115, 4, 10, 30, 32, 54, 71, 93, 95, 115, 4, 10,
1489  30, 32, 55, 71, 93, 95, 115, 4, 10, 30, 33, 55, 70, 93, 95, 115, 4, 10, 30, 33, 56, 70,
1490  92, 95, 115, 4, 10, 30, 34, 56, 69, 92, 95, 115, 4, 10, 30, 34, 56, 69, 91, 95, 115, 4,
1491  10, 30, 34, 57, 68, 91, 95, 115, 4, 10, 30, 35, 57, 68, 90, 95, 115, 4, 10, 30, 35, 58,
1492  68, 90, 95, 115, 4, 10, 30, 36, 58, 67, 89, 95, 115, 4, 10, 30, 36, 59, 67, 89, 95, 115,
1493  4, 10, 30, 37, 59, 66, 89, 95, 115, 4, 10, 30, 37, 60, 66, 88, 95, 115, 4, 10, 30, 38,
1494  60, 65, 88, 95, 115, 4, 10, 30, 38, 61, 65, 87, 95, 115, 4, 10, 30, 38, 61, 64, 87, 95,
1495  115, 4, 10, 30, 39, 61, 64, 86, 95, 115, 4, 10, 30, 39, 62, 64, 86, 95, 115, 4, 10, 30,
1496  40, 62, 63, 85, 95, 115, 3, 10, 30, 40, 85, 95, 115, 3, 10, 30, 41, 85, 95, 115, 3, 10,
1497  30, 41, 84, 95, 115, 3, 10, 30, 42, 84, 95, 115, 3, 10, 30, 42, 83, 95, 115, 3, 10, 30,
1498  43, 83, 95, 115, 3, 10, 30, 43, 82, 95, 115, 3, 10, 30, 43, 82, 95, 115, 3, 10, 30, 44,
1499  81, 95, 115, 3, 10, 30, 44, 81, 95, 115, 3, 10, 30, 45, 81, 95, 115, 3, 10, 30, 45, 80,
1500  95, 115, 3, 10, 30, 46, 80, 95, 115, 3, 10, 30, 46, 79, 95, 115, 3, 10, 30, 47, 79, 95,
1501  115, 3, 10, 30, 47, 78, 95, 115, 3, 10, 30, 48, 78, 95, 115, 3, 10, 30, 48, 77, 95, 115,
1502  3, 10, 30, 48, 77, 95, 115, 3, 10, 30, 49, 77, 95, 115, 3, 10, 30, 49, 76, 95, 115, 3,
1503  10, 30, 50, 76, 95, 115, 3, 10, 30, 50, 75, 95, 115, 3, 10, 30, 51, 75, 95, 115, 3, 10,
1504  30, 51, 74, 95, 115, 3, 10, 30, 52, 74, 95, 115, 3, 10, 30, 52, 73, 95, 115, 3, 10, 30,
1505  52, 73, 95, 115, 3, 10, 30, 53, 73, 95, 115, 3, 10, 30, 53, 72, 95, 115, 3, 10, 30, 54,
1506  72, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95,
1507  115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2, 10, 30, 95, 115, 2,
1508  5, 43, 82, 120, 2, 2, 46, 79, 123, 2, 1, 48, 77, 124, 2, 0, 49, 76, 125, 2, 0, 50,
1509  76, 126, 2, 0, 50, 75, 127, 2, 0, 51, 75, 127, 2, 0, 51, 74, 127, 2, 0, 51, 74, 127,
1510  2, 0, 51, 74, 128, 2, 0, 51, 74, 128, 2, 0, 51, 74, 128, 2, 0, 51, 74, 127, 2, 0,
1511  51, 74, 127, 2, 0, 50, 75, 127, 2, 0, 50, 75, 126, 2, 0, 49, 76, 125, 2, 1, 48, 77,
1512  124, 2, 2, 47, 79, 123, 2, 5, 44, 81, 120, 78, 37, 157, 2, 9, 37, 77, 111, 2, 5, 37,
1513  73, 115, 2, 4, 38, 72, 117, 2, 2, 39, 70, 119, 2, 1, 39, 69, 120, 2, 1, 40, 69, 120,
1514  2, 0, 41, 68, 121, 2, 0, 41, 68, 121, 2, 0, 42, 68, 121, 2, 0, 43, 68, 121, 2, 0,
1515  43, 68, 121, 2, 0, 44, 68, 121, 2, 0, 44, 68, 121, 2, 0, 45, 68, 121, 2, 0, 46, 68,
1516  121, 2, 1, 46, 69, 120, 2, 2, 47, 70, 119, 2, 3, 48, 71, 119, 2, 4, 48, 72, 117, 2,
1517  6, 49, 74, 115, 2, 11, 50, 79, 111, 2, 16, 50, 89, 109, 2, 16, 51, 89, 109, 2, 16, 51,
1518  89, 109, 2, 16, 52, 89, 109, 2, 16, 53, 89, 109, 2, 16, 53, 89, 109, 2, 16, 54, 89, 109,
1519  2, 16, 55, 89, 109, 2, 16, 55, 89, 109, 2, 16, 56, 89, 109, 2, 16, 57, 89, 109, 2, 16,
1520  57, 89, 109, 2, 16, 58, 89, 109, 2, 16, 58, 89, 109, 2, 16, 59, 89, 109, 2, 16, 60, 89,
1521  109, 2, 16, 60, 89, 109, 2, 16, 61, 89, 109, 2, 16, 62, 89, 109, 3, 16, 37, 38, 62, 89,
1522  109, 3, 16, 37, 39, 63, 89, 109, 3, 16, 37, 39, 64, 89, 109, 3, 16, 37, 40, 64, 89, 109,
1523  3, 16, 37, 40, 65, 89, 109, 3, 16, 37, 41, 65, 89, 109, 3, 16, 37, 42, 66, 89, 109, 3,
1524  16, 37, 42, 67, 89, 109, 3, 16, 37, 43, 67, 89, 109, 3, 16, 37, 44, 68, 89, 109, 3, 16,
1525  37, 44, 69, 89, 109, 3, 16, 37, 45, 69, 89, 109, 3, 16, 37, 46, 70, 89, 109, 3, 16, 37,
1526  46, 71, 89, 109, 3, 16, 37, 47, 71, 89, 109, 3, 16, 37, 47, 72, 89, 109, 3, 16, 37, 48,
1527  73, 89, 109, 3, 16, 37, 49, 73, 89, 109, 3, 16, 37, 49, 74, 89, 109, 3, 16, 37, 50, 74,
1528  89, 109, 3, 16, 37, 51, 75, 89, 109, 3, 16, 37, 51, 76, 89, 109, 3, 16, 37, 52, 76, 89,
1529  109, 3, 16, 37, 53, 77, 89, 109, 3, 16, 37, 53, 78, 89, 109, 3, 16, 37, 54, 78, 89, 109,
1530  3, 16, 37, 55, 79, 89, 109, 3, 16, 37, 55, 80, 89, 109, 3, 16, 37, 56, 80, 89, 109, 3,
1531  16, 37, 56, 81, 89, 109, 3, 16, 37, 57, 81, 89, 109, 3, 16, 37, 58, 82, 89, 109, 3, 16,
1532  37, 58, 83, 89, 109, 3, 16, 37, 59, 83, 89, 109, 3, 16, 37, 60, 84, 89, 109, 3, 16, 37,
1533  60, 85, 89, 109, 3, 16, 37, 61, 85, 89, 109, 3, 16, 37, 62, 86, 89, 109, 3, 16, 37, 62,
1534  87, 89, 109, 3, 16, 37, 63, 87, 89, 109, 3, 16, 37, 63, 88, 89, 109, 3, 16, 37, 64, 88,
1535  89, 109, 2, 16, 37, 65, 109, 2, 16, 37, 65, 109, 2, 16, 37, 66, 109, 2, 16, 37, 67, 109,
1536  2, 16, 37, 67, 109, 2, 16, 37, 68, 109, 2, 16, 37, 69, 109, 2, 16, 37, 69, 109, 2, 16,
1537  37, 70, 109, 2, 16, 37, 70, 109, 2, 16, 37, 71, 109, 2, 16, 37, 72, 109, 2, 16, 37, 72,
1538  109, 2, 16, 37, 73, 109, 2, 16, 37, 74, 109, 2, 16, 37, 74, 109, 2, 16, 37, 75, 109, 2,
1539  16, 37, 76, 109, 2, 12, 49, 76, 109, 2, 9, 52, 77, 109, 2, 7, 54, 78, 109, 2, 6, 55,
1540  78, 109, 2, 5, 56, 79, 109, 2, 5, 56, 79, 109, 2, 4, 57, 80, 109, 2, 4, 57, 81, 109,
1541  2, 4, 57, 81, 109, 2, 4, 58, 82, 109, 2, 4, 58, 83, 109, 2, 4, 57, 83, 109, 2, 4,
1542  57, 84, 109, 2, 4, 57, 85, 109, 2, 5, 57, 85, 109, 2, 5, 56, 86, 109, 2, 6, 55, 86,
1543  109, 2, 7, 54, 87, 109, 2, 8, 53, 88, 109, 2, 11, 50, 88, 109, 79, 34, 160, 1, 57, 68,
1544  1, 51, 74, 1, 47, 77, 1, 44, 80, 1, 42, 83, 1, 40, 85, 1, 38, 87, 1, 36, 89, 1,
1545  34, 90, 1, 33, 92, 1, 31, 93, 1, 30, 94, 1, 29, 96, 1, 27, 97, 1, 26, 98, 1, 25,
1546  99, 1, 24, 100, 1, 23, 101, 1, 22, 102, 1, 21, 103, 1, 20, 104, 2, 20, 55, 70, 105, 2,
1547  19, 51, 73, 106, 2, 18, 49, 75, 106, 2, 17, 47, 77, 107, 2, 16, 45, 79, 108, 2, 16, 44,
1548  81, 108, 2, 15, 42, 82, 109, 2, 15, 41, 83, 110, 2, 14, 40, 84, 110, 2, 13, 39, 85, 111,
1549  2, 13, 38, 86, 111, 2, 12, 37, 87, 112, 2, 12, 36, 88, 113, 2, 11, 35, 89, 113, 2, 11,
1550  35, 90, 113, 2, 10, 34, 90, 114, 2, 10, 33, 91, 114, 2, 10, 32, 92, 115, 2, 9, 32, 93,
1551  115, 2, 9, 31, 93, 115, 2, 9, 31, 94, 116, 2, 8, 30, 94, 116, 2, 8, 30, 95, 116, 2,
1552  8, 29, 95, 117, 2, 7, 29, 96, 117, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117, 2, 7, 28,
1553  96, 118, 2, 7, 28, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 98, 118,
1554  2, 6, 27, 98, 118, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6,
1555  26, 98, 119, 2, 6, 26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99,
1556  119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2,
1557  5, 26, 99, 119, 2, 5, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26,
1558  98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 118, 2, 6, 27, 98, 118, 2, 6, 27, 97, 118,
1559  2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 7, 28, 97, 118, 2, 7, 28, 96, 117, 2, 7,
1560  28, 96, 117, 2, 7, 29, 96, 117, 2, 8, 29, 95, 117, 2, 8, 30, 95, 117, 2, 8, 30, 94,
1561  116, 2, 8, 31, 94, 116, 2, 9, 31, 93, 116, 2, 9, 32, 93, 115, 2, 9, 32, 92, 115, 2,
1562  10, 33, 92, 115, 2, 10, 34, 91, 114, 2, 11, 34, 90, 114, 2, 11, 35, 89, 113, 2, 12, 36,
1563  89, 113, 2, 12, 37, 88, 112, 2, 13, 37, 87, 112, 2, 13, 38, 86, 111, 2, 14, 39, 85, 111,
1564  2, 14, 41, 84, 110, 2, 15, 42, 83, 110, 2, 16, 43, 81, 109, 2, 16, 45, 80, 108, 2, 17,
1565  46, 78, 107, 2, 18, 48, 76, 107, 2, 18, 50, 74, 106, 2, 19, 53, 71, 105, 2, 20, 57, 67,
1566  104, 1, 21, 103, 1, 22, 103, 1, 23, 102, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27, 97,
1567  1, 28, 96, 1, 29, 95, 1, 31, 94, 1, 32, 92, 1, 33, 91, 1, 35, 89, 1, 37, 88, 1,
1568  39, 86, 1, 41, 84, 1, 43, 81, 1, 46, 79, 1, 49, 75, 1, 54, 71, 80, 37, 157, 1, 23,
1569  76, 1, 19, 85, 1, 17, 90, 1, 16, 93, 1, 15, 95, 1, 15, 97, 1, 14, 99, 1, 14, 101,
1570  1, 14, 102, 1, 13, 104, 1, 13, 105, 1, 13, 106, 1, 14, 107, 1, 14, 108, 1, 14, 109, 1,
1571  15, 110, 1, 15, 111, 1, 16, 111, 1, 17, 112, 1, 19, 113, 1, 25, 113, 2, 30, 50, 82, 114,
1572  2, 30, 50, 85, 114, 2, 30, 50, 88, 115, 2, 30, 50, 90, 115, 2, 30, 50, 91, 116, 2, 30,
1573  50, 92, 116, 2, 30, 50, 93, 116, 2, 30, 50, 94, 117, 2, 30, 50, 95, 117, 2, 30, 50, 96,
1574  117, 2, 30, 50, 96, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97, 118, 2,
1575  30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50,
1576  98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 98, 118, 2, 30, 50, 97, 118, 2, 30, 50, 97, 118,
1577  2, 30, 50, 97, 118, 2, 30, 50, 96, 118, 2, 30, 50, 96, 117, 2, 30, 50, 95, 117, 2, 30,
1578  50, 94, 117, 2, 30, 50, 94, 117, 2, 30, 50, 93, 116, 2, 30, 50, 92, 116, 2, 30, 50, 91,
1579  116, 2, 30, 50, 89, 115, 2, 30, 50, 87, 115, 2, 30, 50, 86, 114, 2, 30, 50, 83, 114, 2,
1580  30, 50, 80, 113, 2, 30, 50, 74, 112, 1, 30, 112, 1, 30, 111, 1, 30, 110, 1, 30, 109, 1,
1581  30, 108, 1, 30, 107, 1, 30, 106, 1, 30, 105, 1, 30, 104, 1, 30, 102, 1, 30, 101, 1, 30,
1582  100, 1, 30, 98, 1, 30, 97, 1, 30, 95, 1, 30, 93, 1, 30, 91, 1, 30, 88, 1, 30, 85,
1583  1, 30, 79, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1,
1584  30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30,
1585  50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50, 1, 30, 50,
1586  1, 22, 76, 1, 18, 79, 1, 17, 81, 1, 16, 82, 1, 15, 83, 1, 14, 83, 1, 14, 84, 1,
1587  14, 84, 1, 14, 84, 1, 13, 84, 1, 13, 84, 1, 13, 84, 1, 14, 84, 1, 14, 84, 1, 14,
1588  83, 1, 15, 83, 1, 16, 82, 1, 17, 81, 1, 18, 80, 1, 20, 77, 81, 34, 187, 1, 57, 67,
1589  1, 51, 73, 1, 47, 77, 1, 44, 80, 1, 42, 82, 1, 40, 85, 1, 38, 87, 1, 36, 88, 1,
1590  34, 90, 1, 33, 91, 1, 31, 93, 1, 30, 94, 1, 29, 95, 1, 27, 97, 1, 26, 98, 1, 25,
1591  99, 1, 24, 100, 1, 23, 101, 1, 22, 102, 1, 21, 103, 1, 20, 104, 2, 20, 55, 70, 105, 2,
1592  19, 51, 73, 105, 2, 18, 49, 75, 106, 2, 17, 47, 77, 107, 2, 16, 45, 79, 108, 2, 16, 44,
1593  80, 108, 2, 15, 42, 82, 109, 2, 15, 41, 83, 110, 2, 14, 40, 84, 110, 2, 13, 39, 85, 111,
1594  2, 13, 38, 86, 111, 2, 12, 37, 87, 112, 2, 12, 36, 88, 112, 2, 11, 35, 89, 113, 2, 11,
1595  35, 90, 113, 2, 10, 34, 90, 114, 2, 10, 33, 91, 114, 2, 10, 32, 92, 115, 2, 9, 32, 93,
1596  115, 2, 9, 31, 93, 115, 2, 9, 31, 94, 116, 2, 8, 30, 94, 116, 2, 8, 30, 94, 116, 2,
1597  8, 29, 95, 117, 2, 7, 29, 95, 117, 2, 7, 28, 96, 117, 2, 7, 28, 96, 117, 2, 7, 28,
1598  96, 118, 2, 6, 28, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118, 2, 6, 27, 97, 118,
1599  2, 6, 26, 98, 118, 2, 6, 26, 98, 118, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6,
1600  26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 98, 119, 2, 5, 26, 98,
1601  119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 99, 119, 2, 5, 26, 98, 119, 2,
1602  5, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26, 98, 119, 2, 6, 26,
1603  98, 119, 2, 6, 26, 98, 118, 2, 6, 26, 98, 118, 2, 6, 27, 98, 118, 2, 6, 27, 97, 118,
1604  2, 6, 27, 97, 118, 2, 7, 27, 97, 118, 2, 7, 28, 97, 118, 2, 7, 28, 96, 117, 2, 7,
1605  28, 96, 117, 2, 7, 28, 96, 117, 2, 8, 29, 95, 117, 2, 8, 29, 95, 116, 2, 8, 30, 94,
1606  116, 2, 9, 30, 94, 116, 2, 9, 31, 93, 115, 2, 9, 31, 93, 115, 2, 10, 32, 92, 115, 2,
1607  10, 33, 92, 114, 2, 10, 33, 91, 114, 2, 11, 34, 90, 114, 2, 11, 35, 89, 113, 2, 12, 36,
1608  88, 113, 2, 12, 36, 88, 112, 2, 13, 37, 87, 112, 2, 13, 38, 86, 111, 2, 14, 39, 85, 111,
1609  2, 14, 41, 84, 110, 2, 15, 42, 82, 109, 2, 16, 43, 81, 109, 2, 16, 44, 80, 108, 2, 17,
1610  46, 78, 107, 2, 18, 48, 76, 107, 2, 19, 50, 74, 106, 2, 19, 53, 71, 105, 2, 20, 57, 67,
1611  104, 1, 21, 103, 1, 22, 103, 1, 23, 102, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27, 97,
1612  1, 28, 96, 1, 29, 95, 1, 31, 94, 1, 32, 92, 1, 33, 91, 1, 35, 89, 1, 37, 88, 1,
1613  39, 86, 1, 41, 84, 1, 41, 81, 1, 40, 79, 1, 39, 75, 1, 38, 70, 2, 37, 66, 107, 110,
1614  2, 36, 73, 105, 114, 2, 35, 78, 103, 115, 2, 34, 82, 101, 116, 2, 33, 84, 99, 117, 2, 32,
1615  87, 97, 118, 2, 31, 89, 95, 118, 1, 30, 119, 1, 29, 119, 1, 28, 119, 1, 27, 119, 1, 26,
1616  119, 1, 26, 119, 1, 25, 119, 1, 25, 118, 1, 25, 118, 1, 25, 117, 1, 25, 116, 1, 25, 115,
1617  1, 25, 114, 1, 25, 112, 1, 26, 110, 2, 27, 56, 73, 109, 2, 27, 51, 76, 107, 2, 29, 46,
1618  79, 105, 2, 30, 42, 82, 102, 2, 33, 37, 86, 98, 82, 37, 157, 1, 14, 66, 1, 10, 76, 1,
1619  8, 80, 1, 7, 84, 1, 6, 86, 1, 5, 89, 1, 5, 91, 1, 5, 92, 1, 4, 94, 1, 4,
1620  95, 1, 4, 96, 1, 4, 97, 1, 4, 98, 1, 5, 99, 1, 5, 100, 1, 5, 101, 1, 6, 102,
1621  1, 7, 103, 1, 8, 103, 1, 10, 104, 1, 15, 104, 2, 21, 41, 73, 105, 2, 21, 41, 77, 106,
1622  2, 21, 41, 79, 106, 2, 21, 41, 81, 106, 2, 21, 41, 82, 107, 2, 21, 41, 83, 107, 2, 21,
1623  41, 84, 107, 2, 21, 41, 85, 108, 2, 21, 41, 86, 108, 2, 21, 41, 87, 108, 2, 21, 41, 87,
1624  108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 108, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2,
1625  21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41, 88, 109, 2, 21, 41,
1626  87, 108, 2, 21, 41, 87, 108, 2, 21, 41, 86, 108, 2, 21, 41, 86, 108, 2, 21, 41, 85, 108,
1627  2, 21, 41, 84, 107, 2, 21, 41, 82, 107, 2, 21, 41, 81, 107, 2, 21, 41, 79, 106, 2, 21,
1628  41, 77, 106, 2, 21, 41, 75, 105, 2, 21, 41, 73, 105, 2, 21, 41, 69, 104, 2, 21, 41, 65,
1629  104, 1, 21, 103, 1, 21, 102, 1, 21, 101, 1, 21, 100, 1, 21, 99, 1, 21, 98, 1, 21, 97,
1630  1, 21, 96, 1, 21, 95, 1, 21, 93, 1, 21, 92, 1, 21, 90, 1, 21, 89, 1, 21, 87, 1,
1631  21, 87, 1, 21, 88, 1, 21, 89, 1, 21, 90, 1, 21, 91, 1, 21, 92, 2, 21, 41, 61, 93,
1632  2, 21, 41, 63, 94, 2, 21, 41, 65, 95, 2, 21, 41, 66, 96, 2, 21, 41, 68, 97, 2, 21,
1633  41, 69, 98, 2, 21, 41, 70, 99, 2, 21, 41, 71, 99, 2, 21, 41, 72, 100, 2, 21, 41, 74,
1634  101, 2, 21, 41, 75, 102, 2, 21, 41, 76, 103, 2, 21, 41, 77, 103, 2, 21, 41, 77, 104, 2,
1635  21, 41, 78, 105, 2, 21, 41, 79, 106, 2, 21, 41, 80, 106, 2, 21, 41, 81, 107, 2, 21, 41,
1636  82, 108, 2, 21, 41, 83, 108, 2, 21, 41, 84, 109, 2, 21, 41, 84, 110, 2, 21, 41, 85, 110,
1637  2, 21, 41, 86, 111, 2, 21, 41, 87, 112, 2, 21, 41, 88, 112, 2, 12, 54, 88, 119, 2, 9,
1638  57, 89, 123, 2, 8, 58, 90, 124, 2, 7, 60, 91, 125, 2, 6, 60, 91, 126, 2, 5, 61, 92,
1639  126, 2, 5, 61, 93, 127, 2, 4, 62, 93, 127, 2, 4, 62, 94, 127, 2, 4, 62, 95, 127, 2,
1640  4, 62, 96, 127, 2, 4, 62, 96, 127, 2, 4, 62, 97, 127, 2, 5, 61, 98, 127, 2, 5, 61,
1641  98, 126, 2, 6, 61, 99, 126, 2, 6, 60, 100, 125, 2, 7, 59, 100, 124, 2, 9, 57, 101, 123,
1642  2, 11, 55, 102, 120, 83, 34, 160, 1, 58, 66, 1, 50, 74, 1, 46, 78, 2, 43, 81, 96, 97,
1643  2, 41, 83, 92, 101, 2, 39, 85, 90, 102, 2, 36, 87, 89, 103, 1, 35, 104, 1, 34, 105, 1,
1644  32, 105, 1, 31, 106, 1, 30, 106, 1, 29, 106, 1, 28, 106, 1, 27, 106, 1, 26, 106, 1, 25,
1645  106, 1, 24, 106, 1, 24, 106, 1, 23, 106, 1, 22, 106, 2, 22, 54, 70, 106, 2, 21, 50, 73,
1646  106, 2, 21, 48, 76, 106, 2, 20, 46, 78, 106, 2, 20, 45, 79, 106, 2, 19, 44, 81, 106, 2,
1647  19, 42, 82, 106, 2, 19, 41, 83, 106, 2, 19, 41, 84, 106, 2, 18, 40, 84, 106, 2, 18, 39,
1648  85, 106, 2, 18, 39, 85, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106, 2, 18, 38, 86, 106,
1649  2, 18, 38, 86, 106, 2, 18, 38, 87, 106, 2, 18, 38, 87, 106, 2, 18, 39, 87, 105, 2, 18,
1650  39, 88, 105, 2, 18, 40, 88, 104, 2, 18, 40, 89, 104, 2, 19, 41, 90, 103, 2, 19, 42, 92,
1651  101, 2, 19, 43, 95, 98, 1, 19, 44, 1, 20, 45, 1, 20, 47, 1, 21, 50, 1, 21, 53, 1,
1652  22, 58, 1, 22, 62, 1, 23, 67, 1, 23, 72, 1, 24, 76, 1, 25, 80, 1, 26, 84, 1, 27,
1653  87, 1, 27, 89, 1, 28, 92, 1, 30, 94, 1, 31, 96, 1, 32, 97, 1, 34, 98, 1, 35, 100,
1654  1, 37, 101, 1, 40, 102, 1, 42, 103, 1, 45, 103, 1, 49, 104, 1, 52, 105, 1, 57, 106, 1,
1655  61, 106, 1, 67, 107, 1, 71, 107, 1, 76, 108, 1, 79, 108, 1, 81, 109, 1, 83, 109, 1, 85,
1656  109, 1, 86, 110, 2, 23, 25, 87, 110, 2, 19, 29, 88, 110, 2, 18, 30, 89, 110, 2, 17, 31,
1657  89, 110, 2, 16, 32, 90, 110, 2, 15, 33, 90, 111, 2, 15, 33, 90, 111, 2, 15, 33, 90, 111,
1658  2, 14, 34, 91, 111, 2, 14, 34, 90, 111, 2, 14, 35, 90, 111, 2, 14, 35, 90, 110, 2, 14,
1659  35, 90, 110, 2, 14, 36, 89, 110, 2, 14, 36, 88, 110, 2, 14, 38, 87, 110, 2, 14, 39, 86,
1660  110, 2, 14, 40, 85, 109, 2, 14, 42, 84, 109, 2, 14, 44, 82, 109, 2, 14, 46, 80, 108, 2,
1661  14, 49, 77, 108, 2, 14, 52, 74, 108, 2, 14, 57, 69, 107, 1, 14, 106, 1, 14, 106, 1, 14,
1662  105, 1, 14, 105, 1, 14, 104, 1, 14, 103, 1, 14, 102, 1, 14, 101, 1, 14, 100, 1, 14, 98,
1663  1, 15, 97, 1, 15, 96, 2, 16, 32, 33, 94, 2, 16, 31, 35, 93, 2, 17, 30, 38, 90, 2,
1664  19, 29, 40, 88, 2, 21, 27, 43, 86, 1, 46, 83, 1, 50, 79, 1, 55, 75, 84, 37, 157, 1,
1665  9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9,
1666  114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114,
1667  1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 1, 9, 114, 3, 9, 30, 52,
1668  72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72,
1669  94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94,
1670  114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114,
1671  3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3,
1672  9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9,
1673  30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 9, 30,
1674  52, 72, 94, 114, 3, 9, 30, 52, 72, 94, 114, 3, 10, 30, 52, 72, 94, 114, 3, 10, 29, 52,
1675  72, 94, 114, 3, 10, 29, 52, 72, 95, 114, 3, 10, 29, 52, 72, 95, 114, 3, 10, 29, 52, 72,
1676  95, 114, 3, 11, 28, 52, 72, 95, 113, 3, 11, 28, 52, 72, 96, 113, 3, 12, 27, 52, 72, 96,
1677  112, 3, 12, 27, 52, 72, 97, 111, 3, 14, 26, 52, 72, 98, 110, 3, 15, 24, 52, 72, 100, 109,
1678  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1679  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1680  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1681  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1682  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1683  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1684  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 33, 91, 1, 30, 94, 1, 28, 96, 1, 27, 97, 1,
1685  26, 97, 1, 26, 98, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25, 99, 1, 25,
1686  99, 1, 25, 99, 1, 25, 99, 1, 25, 98, 1, 26, 98, 1, 27, 97, 1, 28, 96, 1, 29, 94,
1687  1, 32, 92, 85, 37, 160, 2, 14, 48, 77, 111, 2, 9, 51, 73, 115, 2, 7, 53, 71, 117, 2,
1688  6, 54, 70, 118, 2, 6, 55, 69, 119, 2, 5, 56, 68, 120, 2, 4, 56, 68, 120, 2, 4, 57,
1689  68, 121, 2, 4, 57, 67, 121, 2, 4, 57, 67, 121, 2, 3, 57, 67, 121, 2, 4, 57, 67, 121,
1690  2, 4, 57, 67, 121, 2, 4, 57, 68, 121, 2, 4, 56, 68, 120, 2, 5, 56, 69, 120, 2, 6,
1691  55, 69, 119, 2, 6, 54, 70, 118, 2, 8, 53, 71, 117, 2, 9, 51, 73, 115, 2, 14, 46, 79,
1692  110, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1693  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36,
1694  88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108,
1695  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16,
1696  36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88,
1697  108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1698  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36,
1699  88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108,
1700  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16,
1701  36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88,
1702  108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2,
1703  16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36,
1704  88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108,
1705  2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16, 36, 88, 108, 2, 16,
1706  37, 88, 108, 2, 16, 37, 88, 108, 2, 16, 37, 88, 108, 2, 17, 37, 87, 108, 2, 17, 38, 87,
1707  108, 2, 17, 38, 87, 108, 2, 17, 38, 86, 107, 2, 17, 39, 86, 107, 2, 17, 39, 85, 107, 2,
1708  18, 40, 84, 107, 2, 18, 41, 84, 106, 2, 18, 42, 83, 106, 2, 19, 43, 82, 105, 2, 19, 43,
1709  81, 105, 2, 20, 45, 80, 105, 2, 20, 46, 79, 104, 2, 21, 47, 77, 104, 2, 21, 49, 76, 103,
1710  2, 22, 51, 74, 103, 2, 23, 53, 71, 102, 2, 23, 57, 67, 101, 1, 24, 101, 1, 25, 100, 1,
1711  26, 99, 1, 27, 98, 1, 28, 97, 1, 28, 96, 1, 29, 95, 1, 30, 94, 1, 32, 93, 1, 33,
1712  92, 1, 34, 91, 1, 35, 90, 1, 37, 88, 1, 38, 87, 1, 40, 85, 1, 42, 83, 1, 44, 81,
1713  1, 46, 78, 1, 49, 75, 1, 54, 71, 86, 37, 157, 2, 6, 41, 83, 117, 2, 2, 45, 79, 122,
1714  2, 1, 47, 77, 124, 2, 0, 48, 76, 125, 2, 0, 49, 75, 126, 2, 0, 50, 74, 126, 2, 0,
1715  50, 74, 127, 2, 0, 51, 74, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 73,
1716  128, 2, 0, 51, 73, 127, 2, 0, 51, 73, 127, 2, 0, 51, 74, 127, 2, 0, 50, 74, 127, 2,
1717  0, 50, 75, 126, 2, 0, 49, 75, 125, 2, 0, 48, 76, 125, 2, 1, 47, 77, 123, 2, 2, 45,
1718  79, 122, 2, 7, 40, 84, 117, 2, 11, 33, 91, 113, 2, 12, 34, 91, 113, 2, 12, 34, 90, 112,
1719  2, 12, 34, 90, 112, 2, 13, 35, 89, 111, 2, 13, 35, 89, 111, 2, 14, 36, 89, 111, 2, 14,
1720  36, 88, 110, 2, 14, 37, 88, 110, 2, 15, 37, 87, 109, 2, 15, 37, 87, 109, 2, 16, 38, 86,
1721  109, 2, 16, 38, 86, 108, 2, 17, 39, 86, 108, 2, 17, 39, 85, 107, 2, 17, 39, 85, 107, 2,
1722  18, 40, 84, 106, 2, 18, 40, 84, 106, 2, 19, 41, 84, 106, 2, 19, 41, 83, 105, 2, 19, 42,
1723  83, 105, 2, 20, 42, 82, 104, 2, 20, 42, 82, 104, 2, 21, 43, 81, 104, 2, 21, 43, 81, 103,
1724  2, 22, 44, 81, 103, 2, 22, 44, 80, 102, 2, 22, 44, 80, 102, 2, 23, 45, 79, 101, 2, 23,
1725  45, 79, 101, 2, 24, 46, 78, 101, 2, 24, 46, 78, 100, 2, 24, 47, 78, 100, 2, 25, 47, 77,
1726  99, 2, 25, 47, 77, 99, 2, 26, 48, 76, 98, 2, 26, 48, 76, 98, 2, 27, 49, 76, 98, 2,
1727  27, 49, 75, 97, 2, 27, 49, 75, 97, 2, 28, 50, 74, 96, 2, 28, 50, 74, 96, 2, 29, 51,
1728  73, 96, 2, 29, 51, 73, 95, 2, 29, 52, 73, 95, 2, 30, 52, 72, 94, 2, 30, 52, 72, 94,
1729  2, 31, 53, 71, 93, 2, 31, 53, 71, 93, 2, 32, 54, 71, 93, 2, 32, 54, 70, 92, 2, 32,
1730  54, 70, 92, 2, 33, 55, 69, 91, 2, 33, 55, 69, 91, 2, 34, 56, 68, 91, 2, 34, 56, 68,
1731  90, 2, 34, 57, 68, 90, 2, 35, 57, 67, 89, 2, 35, 57, 67, 89, 2, 36, 58, 66, 88, 2,
1732  36, 58, 66, 88, 2, 37, 59, 65, 88, 2, 37, 59, 65, 87, 2, 37, 59, 65, 87, 2, 38, 60,
1733  64, 86, 2, 38, 60, 64, 86, 2, 39, 61, 63, 86, 2, 39, 61, 63, 85, 2, 39, 62, 63, 85,
1734  1, 40, 84, 1, 40, 84, 1, 41, 83, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 42, 82, 1,
1735  43, 81, 1, 43, 81, 1, 44, 80, 1, 44, 80, 1, 44, 80, 1, 45, 79, 1, 45, 79, 1, 46,
1736  78, 1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 47, 77, 1, 48, 76, 1, 48, 76, 1, 49, 75,
1737  1, 49, 75, 1, 49, 75, 1, 50, 74, 1, 50, 74, 1, 51, 73, 1, 51, 73, 1, 52, 73, 1,
1738  52, 72, 87, 37, 157, 2, 9, 43, 81, 115, 2, 5, 47, 77, 119, 2, 3, 49, 75, 121, 2, 2,
1739  51, 74, 123, 2, 1, 51, 73, 123, 2, 0, 52, 72, 124, 2, 0, 52, 72, 125, 2, 0, 53, 72,
1740  125, 2, 0, 53, 71, 125, 2, 0, 53, 71, 125, 2, 0, 53, 71, 125, 2, 0, 53, 71, 125, 2,
1741  0, 53, 71, 125, 2, 0, 53, 72, 125, 2, 0, 52, 72, 124, 2, 0, 52, 73, 124, 2, 1, 51,
1742  73, 123, 2, 2, 50, 74, 122, 2, 3, 49, 75, 121, 2, 4, 47, 77, 119, 2, 8, 42, 83, 116,
1743  2, 9, 29, 95, 116, 2, 9, 29, 95, 115, 2, 9, 29, 95, 115, 2, 9, 30, 95, 115, 2, 9,
1744  30, 95, 115, 2, 9, 30, 95, 115, 2, 9, 30, 95, 115, 2, 9, 30, 94, 115, 2, 10, 30, 94,
1745  115, 3, 10, 30, 52, 73, 94, 115, 3, 10, 30, 51, 73, 94, 114, 3, 10, 30, 51, 74, 94, 114,
1746  3, 10, 31, 51, 74, 94, 114, 3, 10, 31, 50, 74, 94, 114, 3, 10, 31, 50, 75, 94, 114, 3,
1747  10, 31, 50, 75, 93, 114, 3, 11, 31, 49, 75, 93, 114, 3, 11, 31, 49, 76, 93, 114, 3, 11,
1748  31, 49, 76, 93, 113, 3, 11, 31, 48, 76, 93, 113, 3, 11, 32, 48, 77, 93, 113, 3, 11, 32,
1749  48, 77, 93, 113, 3, 11, 32, 47, 77, 93, 113, 3, 11, 32, 47, 78, 93, 113, 3, 12, 32, 47,
1750  78, 92, 113, 3, 12, 32, 46, 78, 92, 113, 3, 12, 32, 46, 79, 92, 113, 3, 12, 32, 46, 79,
1751  92, 112, 3, 12, 33, 45, 79, 92, 112, 3, 12, 33, 45, 80, 92, 112, 3, 12, 33, 45, 80, 92,
1752  112, 3, 12, 33, 44, 80, 92, 112, 3, 12, 33, 44, 81, 91, 112, 3, 13, 33, 44, 81, 91, 112,
1753  3, 13, 33, 43, 81, 91, 112, 3, 13, 33, 43, 82, 91, 111, 3, 13, 33, 43, 82, 91, 111, 3,
1754  13, 34, 42, 82, 91, 111, 3, 13, 34, 42, 83, 91, 111, 3, 13, 34, 41, 83, 91, 111, 3, 13,
1755  34, 41, 83, 91, 111, 3, 14, 34, 41, 84, 90, 111, 3, 14, 34, 40, 84, 90, 111, 4, 14, 34,
1756  40, 62, 63, 84, 90, 111, 4, 14, 34, 40, 61, 63, 85, 90, 110, 4, 14, 35, 39, 61, 63, 85,
1757  90, 110, 4, 14, 35, 39, 61, 64, 85, 90, 110, 4, 14, 35, 39, 60, 64, 86, 90, 110, 4, 14,
1758  35, 38, 60, 64, 86, 90, 110, 4, 15, 35, 38, 60, 65, 86, 89, 110, 4, 15, 35, 38, 59, 65,
1759  87, 89, 110, 4, 15, 35, 37, 59, 65, 87, 89, 110, 4, 15, 35, 37, 59, 66, 87, 89, 109, 4,
1760  15, 35, 37, 58, 66, 88, 89, 109, 3, 15, 58, 66, 88, 89, 109, 3, 15, 58, 67, 88, 89, 109,
1761  2, 15, 57, 67, 109, 2, 16, 57, 67, 109, 2, 16, 57, 68, 109, 2, 16, 56, 68, 109, 2, 16,
1762  56, 68, 109, 2, 16, 56, 69, 108, 2, 16, 55, 69, 108, 2, 16, 55, 70, 108, 2, 16, 55, 70,
1763  108, 2, 16, 54, 70, 108, 2, 17, 54, 71, 108, 2, 17, 54, 71, 108, 2, 17, 53, 71, 108, 2,
1764  17, 53, 72, 107, 2, 17, 53, 72, 107, 2, 17, 52, 72, 107, 2, 17, 52, 73, 107, 2, 17, 52,
1765  73, 107, 2, 18, 51, 73, 107, 2, 18, 51, 74, 107, 2, 18, 51, 74, 107, 2, 18, 50, 74, 107,
1766  2, 18, 50, 75, 106, 2, 18, 50, 75, 106, 2, 18, 49, 75, 106, 2, 18, 49, 76, 106, 2, 19,
1767  49, 76, 106, 2, 19, 48, 76, 106, 2, 19, 48, 77, 106, 2, 19, 48, 77, 106, 2, 19, 47, 77,
1768  105, 2, 19, 47, 78, 105, 2, 19, 47, 78, 105, 2, 19, 46, 78, 105, 2, 20, 46, 79, 105, 2,
1769  20, 46, 79, 105, 2, 20, 46, 79, 105, 2, 20, 45, 80, 105, 2, 20, 45, 80, 105, 2, 20, 45,
1770  80, 104, 2, 20, 44, 81, 104, 2, 20, 44, 81, 104, 2, 20, 44, 81, 104, 88, 37, 157, 2, 15,
1771  41, 83, 109, 2, 11, 45, 79, 113, 2, 9, 47, 77, 115, 2, 8, 48, 76, 116, 2, 7, 49, 75,
1772  117, 2, 7, 50, 74, 118, 2, 6, 50, 74, 118, 2, 6, 51, 74, 118, 2, 5, 51, 73, 119, 2,
1773  5, 51, 73, 119, 2, 5, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 118, 2, 6, 51,
1774  74, 118, 2, 6, 50, 74, 118, 2, 7, 50, 75, 117, 2, 8, 49, 75, 117, 2, 8, 48, 76, 116,
1775  2, 9, 47, 77, 114, 2, 11, 45, 79, 113, 2, 16, 44, 81, 108, 2, 18, 44, 80, 106, 2, 19,
1776  45, 79, 106, 2, 20, 46, 78, 105, 2, 20, 47, 78, 104, 2, 21, 48, 77, 103, 2, 22, 48, 76,
1777  102, 2, 23, 49, 75, 101, 2, 24, 50, 74, 101, 2, 25, 51, 74, 100, 2, 25, 52, 73, 99, 2,
1778  26, 53, 72, 98, 2, 27, 53, 71, 97, 2, 28, 54, 70, 96, 2, 29, 55, 69, 96, 2, 30, 56,
1779  69, 95, 2, 30, 57, 68, 94, 2, 31, 58, 67, 93, 2, 32, 58, 66, 92, 2, 33, 59, 65, 92,
1780  2, 34, 60, 65, 91, 2, 35, 61, 64, 90, 2, 35, 62, 63, 89, 1, 36, 88, 1, 37, 87, 1,
1781  38, 87, 1, 39, 86, 1, 40, 85, 1, 40, 84, 1, 41, 83, 1, 42, 82, 1, 43, 82, 1, 44,
1782  81, 1, 45, 80, 1, 46, 79, 1, 46, 78, 1, 47, 78, 1, 48, 77, 1, 49, 76, 1, 49, 76,
1783  1, 48, 77, 1, 47, 77, 1, 46, 78, 1, 45, 79, 1, 45, 80, 1, 44, 81, 1, 43, 81, 1,
1784  42, 82, 1, 41, 83, 1, 40, 84, 1, 40, 85, 1, 39, 86, 1, 38, 86, 1, 37, 87, 1, 36,
1785  88, 2, 36, 62, 63, 89, 2, 35, 61, 64, 90, 2, 34, 60, 65, 91, 2, 33, 59, 65, 91, 2,
1786  32, 59, 66, 92, 2, 31, 58, 67, 93, 2, 31, 57, 68, 94, 2, 30, 56, 69, 95, 2, 29, 55,
1787  70, 96, 2, 28, 55, 70, 96, 2, 27, 54, 71, 97, 2, 27, 53, 72, 98, 2, 26, 52, 73, 99,
1788  2, 25, 51, 74, 100, 2, 24, 50, 74, 101, 2, 23, 50, 75, 101, 2, 22, 49, 76, 102, 2, 22,
1789  48, 77, 103, 2, 21, 47, 78, 104, 2, 20, 46, 79, 105, 2, 19, 46, 79, 106, 2, 18, 45, 80,
1790  106, 2, 17, 44, 81, 107, 2, 17, 43, 82, 108, 2, 16, 42, 83, 109, 2, 12, 45, 80, 113, 2,
1791  9, 48, 77, 116, 2, 7, 50, 75, 118, 2, 6, 51, 74, 119, 2, 5, 51, 73, 119, 2, 5, 52,
1792  73, 120, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 3, 53, 72, 121,
1793  2, 3, 53, 71, 121, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4, 53, 72, 121, 2, 4,
1794  52, 72, 120, 2, 5, 52, 73, 120, 2, 6, 51, 74, 119, 2, 7, 50, 75, 118, 2, 8, 49, 76,
1795  117, 2, 11, 46, 79, 114, 89, 37, 157, 2, 15, 41, 83, 109, 2, 11, 45, 79, 113, 2, 9, 47,
1796  77, 115, 2, 8, 48, 76, 116, 2, 7, 49, 75, 117, 2, 7, 50, 74, 118, 2, 6, 50, 74, 118,
1797  2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6,
1798  51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 50, 74, 118, 2, 7, 50, 74,
1799  118, 2, 8, 49, 75, 117, 2, 8, 48, 76, 116, 2, 10, 47, 77, 115, 2, 12, 45, 79, 113, 2,
1800  16, 43, 81, 108, 2, 19, 44, 80, 105, 2, 20, 44, 80, 104, 2, 20, 45, 79, 104, 2, 21, 46,
1801  78, 103, 2, 22, 46, 78, 102, 2, 23, 47, 77, 102, 2, 23, 48, 76, 101, 2, 24, 48, 76, 100,
1802  2, 25, 49, 75, 100, 2, 25, 50, 74, 99, 2, 26, 50, 74, 98, 2, 27, 51, 73, 98, 2, 27,
1803  52, 72, 97, 2, 28, 52, 72, 96, 2, 29, 53, 71, 96, 2, 29, 54, 70, 95, 2, 30, 55, 70,
1804  94, 2, 31, 55, 69, 93, 2, 31, 56, 68, 93, 2, 32, 57, 68, 92, 2, 33, 57, 67, 91, 2,
1805  33, 58, 66, 91, 2, 34, 59, 66, 90, 2, 35, 59, 65, 89, 2, 35, 60, 64, 89, 2, 36, 61,
1806  64, 88, 2, 37, 61, 63, 87, 1, 37, 87, 1, 38, 86, 1, 39, 85, 1, 40, 85, 1, 40, 84,
1807  1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 43, 81, 1, 44, 81, 1, 44, 80, 1, 45, 79, 1,
1808  46, 79, 1, 46, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 75, 1, 50, 75, 1, 50,
1809  74, 1, 51, 73, 1, 52, 73, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1810  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1811  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1812  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1813  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 33, 91, 1, 30, 94, 1, 29, 96, 1, 27, 97, 1,
1814  27, 98, 1, 26, 98, 1, 26, 99, 1, 25, 99, 1, 25, 99, 1, 25, 100, 1, 25, 100, 1, 25,
1815  99, 1, 25, 99, 1, 25, 99, 1, 26, 99, 1, 26, 98, 1, 27, 97, 1, 28, 96, 1, 30, 95,
1816  1, 32, 92, 90, 37, 157, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1,
1817  20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20,
1818  104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104, 1, 20, 104,
1819  1, 20, 104, 2, 20, 41, 77, 103, 2, 20, 41, 77, 102, 2, 20, 41, 76, 102, 2, 20, 41, 75,
1820  101, 2, 20, 41, 74, 100, 2, 20, 41, 73, 99, 2, 20, 41, 73, 99, 2, 20, 41, 72, 98, 2,
1821  20, 41, 71, 97, 2, 20, 41, 70, 96, 2, 20, 41, 70, 95, 2, 20, 41, 69, 95, 2, 20, 41,
1822  68, 94, 2, 20, 41, 67, 93, 2, 20, 41, 66, 92, 2, 20, 41, 66, 92, 2, 21, 41, 65, 91,
1823  2, 21, 40, 64, 90, 2, 21, 40, 63, 89, 2, 21, 40, 63, 88, 2, 21, 40, 62, 88, 2, 21,
1824  40, 61, 87, 2, 22, 39, 60, 86, 2, 22, 39, 59, 85, 2, 23, 38, 59, 85, 2, 24, 37, 58,
1825  84, 2, 26, 35, 57, 83, 2, 28, 33, 56, 82, 1, 56, 81, 1, 55, 81, 1, 54, 80, 1, 53,
1826  79, 1, 52, 78, 1, 52, 78, 1, 51, 77, 1, 50, 76, 1, 49, 75, 1, 49, 74, 1, 48, 74,
1827  1, 47, 73, 1, 46, 72, 1, 45, 71, 1, 45, 71, 1, 44, 70, 1, 43, 69, 1, 42, 68, 1,
1828  41, 67, 1, 41, 67, 1, 40, 66, 1, 39, 65, 2, 38, 64, 97, 100, 2, 38, 64, 94, 103, 2,
1829  37, 63, 92, 105, 2, 36, 62, 91, 106, 2, 35, 61, 90, 106, 2, 34, 60, 90, 107, 2, 34, 60,
1830  89, 107, 2, 33, 59, 89, 108, 2, 32, 58, 89, 108, 2, 31, 57, 89, 108, 2, 31, 56, 88, 108,
1831  2, 30, 56, 88, 108, 2, 29, 55, 88, 108, 2, 28, 54, 88, 109, 2, 27, 53, 88, 109, 2, 27,
1832  53, 88, 109, 2, 26, 52, 88, 109, 2, 25, 51, 88, 109, 2, 24, 50, 88, 109, 2, 24, 49, 88,
1833  109, 2, 23, 49, 88, 109, 2, 22, 48, 88, 109, 2, 21, 47, 88, 109, 2, 20, 46, 88, 109, 2,
1834  20, 46, 88, 109, 2, 19, 45, 88, 109, 2, 18, 44, 88, 109, 2, 17, 43, 88, 109, 2, 17, 42,
1835  88, 109, 1, 16, 109, 1, 16, 109, 1, 16, 109, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16,
1836  108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108,
1837  1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 91, 29, 189, 1,
1838  52, 88, 1, 52, 92, 1, 52, 94, 1, 52, 95, 1, 52, 96, 1, 52, 97, 1, 52, 97, 1, 52,
1839  97, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 97, 1, 52, 97,
1840  1, 52, 96, 1, 52, 96, 1, 52, 95, 1, 52, 93, 1, 52, 91, 1, 52, 72, 1, 52, 72, 1,
1841  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1842  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1843  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1844  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1845  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1846  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1847  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1848  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1849  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1850  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1851  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1852  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1853  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1854  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1855  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1856  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1857  72, 1, 52, 91, 1, 52, 93, 1, 52, 95, 1, 52, 96, 1, 52, 96, 1, 52, 97, 1, 52, 97,
1858  1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 98, 1, 52, 97, 1, 52, 97, 1,
1859  52, 97, 1, 52, 96, 1, 52, 95, 1, 52, 94, 1, 52, 93, 1, 52, 89, 92, 14, 180, 1, 27,
1860  31, 1, 23, 33, 1, 22, 35, 1, 21, 36, 1, 20, 36, 1, 19, 37, 1, 19, 38, 1, 19, 38,
1861  1, 18, 39, 1, 18, 39, 1, 18, 40, 1, 18, 40, 1, 19, 40, 1, 19, 41, 1, 19, 41, 1,
1862  20, 42, 1, 20, 42, 1, 20, 43, 1, 21, 43, 1, 21, 44, 1, 22, 44, 1, 22, 45, 1, 23,
1863  45, 1, 23, 46, 1, 24, 46, 1, 24, 47, 1, 25, 47, 1, 25, 47, 1, 26, 48, 1, 26, 48,
1864  1, 27, 49, 1, 27, 49, 1, 27, 50, 1, 28, 50, 1, 28, 51, 1, 29, 51, 1, 29, 52, 1,
1865  30, 52, 1, 30, 53, 1, 31, 53, 1, 31, 54, 1, 32, 54, 1, 32, 54, 1, 33, 55, 1, 33,
1866  55, 1, 34, 56, 1, 34, 56, 1, 34, 57, 1, 35, 57, 1, 35, 58, 1, 36, 58, 1, 36, 59,
1867  1, 37, 59, 1, 37, 60, 1, 38, 60, 1, 38, 61, 1, 39, 61, 1, 39, 61, 1, 40, 62, 1,
1868  40, 62, 1, 40, 63, 1, 41, 63, 1, 41, 64, 1, 42, 64, 1, 42, 65, 1, 43, 65, 1, 43,
1869  66, 1, 44, 66, 1, 44, 67, 1, 45, 67, 1, 45, 68, 1, 46, 68, 1, 46, 68, 1, 47, 69,
1870  1, 47, 69, 1, 47, 70, 1, 48, 70, 1, 48, 71, 1, 49, 71, 1, 49, 72, 1, 50, 72, 1,
1871  50, 73, 1, 51, 73, 1, 51, 74, 1, 52, 74, 1, 52, 75, 1, 53, 75, 1, 53, 75, 1, 54,
1872  76, 1, 54, 76, 1, 54, 77, 1, 55, 77, 1, 55, 78, 1, 56, 78, 1, 56, 79, 1, 57, 79,
1873  1, 57, 80, 1, 58, 80, 1, 58, 81, 1, 59, 81, 1, 59, 82, 1, 60, 82, 1, 60, 82, 1,
1874  61, 83, 1, 61, 83, 1, 61, 84, 1, 62, 84, 1, 62, 85, 1, 63, 85, 1, 63, 86, 1, 64,
1875  86, 1, 64, 87, 1, 65, 87, 1, 65, 88, 1, 66, 88, 1, 66, 89, 1, 67, 89, 1, 67, 89,
1876  1, 67, 90, 1, 68, 90, 1, 68, 91, 1, 69, 91, 1, 69, 92, 1, 70, 92, 1, 70, 93, 1,
1877  71, 93, 1, 71, 94, 1, 72, 94, 1, 72, 95, 1, 73, 95, 1, 73, 96, 1, 74, 96, 1, 74,
1878  96, 1, 74, 97, 1, 75, 97, 1, 75, 98, 1, 76, 98, 1, 76, 99, 1, 77, 99, 1, 77, 100,
1879  1, 78, 100, 1, 78, 101, 1, 79, 101, 1, 79, 102, 1, 80, 102, 1, 80, 103, 1, 81, 103, 1,
1880  81, 103, 1, 81, 104, 1, 82, 104, 1, 82, 105, 1, 83, 105, 1, 83, 105, 1, 84, 106, 1, 84,
1881  106, 1, 85, 106, 1, 85, 106, 1, 86, 106, 1, 86, 106, 1, 87, 106, 1, 87, 106, 1, 88, 105,
1882  1, 89, 104, 1, 90, 103, 1, 91, 102, 1, 93, 99, 93, 29, 189, 1, 36, 72, 1, 32, 72, 1,
1883  30, 72, 1, 29, 72, 1, 28, 72, 1, 28, 72, 1, 27, 72, 1, 27, 72, 1, 26, 72, 1, 26,
1884  72, 1, 26, 72, 1, 26, 72, 1, 26, 72, 1, 27, 72, 1, 27, 72, 1, 28, 72, 1, 28, 72,
1885  1, 29, 72, 1, 31, 72, 1, 33, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1886  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1887  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1888  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1889  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1890  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1891  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1892  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1893  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1894  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1895  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1896  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1897  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1898  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
1899  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
1900  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
1901  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 33, 72, 1, 31,
1902  72, 1, 29, 72, 1, 29, 72, 1, 28, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72,
1903  1, 26, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72, 1, 27, 72, 1, 28, 72, 1, 28, 72, 1,
1904  29, 72, 1, 30, 72, 1, 32, 72, 1, 35, 72, 94, 24, 90, 1, 61, 63, 1, 60, 64, 1, 59,
1905  65, 1, 58, 65, 1, 57, 66, 1, 57, 67, 1, 56, 68, 1, 55, 69, 1, 54, 70, 1, 53, 70,
1906  1, 52, 71, 1, 52, 72, 1, 51, 73, 1, 50, 74, 1, 49, 75, 1, 48, 75, 1, 47, 76, 1,
1907  47, 77, 1, 46, 78, 1, 45, 79, 1, 44, 80, 1, 43, 80, 1, 42, 81, 1, 42, 82, 1, 41,
1908  83, 1, 40, 84, 1, 39, 85, 1, 38, 85, 1, 38, 86, 1, 37, 87, 1, 36, 88, 1, 35, 89,
1909  2, 34, 61, 63, 90, 2, 33, 60, 64, 90, 2, 33, 59, 65, 91, 2, 32, 58, 65, 92, 2, 31,
1910  57, 66, 93, 2, 30, 57, 67, 94, 2, 29, 56, 68, 95, 2, 28, 55, 69, 95, 2, 28, 54, 70,
1911  96, 2, 27, 53, 70, 97, 2, 26, 52, 71, 98, 2, 25, 52, 72, 99, 2, 24, 51, 73, 100, 2,
1912  23, 50, 74, 100, 2, 23, 49, 75, 101, 2, 22, 48, 76, 102, 2, 21, 47, 76, 103, 2, 20, 47,
1913  77, 104, 2, 20, 46, 78, 104, 2, 19, 45, 79, 105, 2, 19, 44, 80, 106, 2, 18, 43, 81, 106,
1914  2, 18, 43, 81, 106, 2, 18, 42, 82, 106, 2, 18, 41, 83, 106, 2, 18, 40, 84, 106, 2, 18,
1915  39, 85, 106, 2, 18, 38, 86, 106, 2, 19, 37, 87, 105, 2, 20, 37, 87, 104, 2, 20, 36, 88,
1916  104, 2, 21, 35, 89, 103, 2, 23, 33, 91, 101, 2, 24, 32, 92, 100, 95, 198, 218, 1, 1, 124,
1917  1, 0, 127, 1, 0, 128, 1, 0, 129, 1, 0, 130, 1, 0, 131, 1, 0, 131, 1, 0, 131, 1,
1918  0, 132, 1, 0, 132, 1, 0, 132, 1, 0, 132, 1, 0, 131, 1, 0, 131, 1, 0, 131, 1, 0,
1919  130, 1, 0, 129, 1, 0, 128, 1, 0, 127, 1, 1, 124, 96, 22, 56, 1, 47, 51, 1, 45, 53,
1920  1, 44, 55, 1, 44, 56, 1, 43, 57, 1, 43, 59, 1, 43, 60, 1, 43, 61, 1, 43, 62, 1,
1921  44, 64, 1, 44, 65, 1, 45, 66, 1, 46, 67, 1, 48, 68, 1, 49, 70, 1, 50, 71, 1, 51,
1922  72, 1, 53, 73, 1, 54, 75, 1, 55, 76, 1, 56, 77, 1, 58, 78, 1, 59, 79, 1, 60, 80,
1923  1, 61, 81, 1, 62, 81, 1, 64, 81, 1, 65, 81, 1, 66, 81, 1, 67, 81, 1, 69, 80, 1,
1924  70, 80, 1, 72, 78, 1, 74, 76, 97, 65, 161, 1, 50, 71, 1, 44, 76, 1, 39, 80, 1, 35,
1925  82, 1, 31, 85, 1, 27, 86, 1, 25, 88, 1, 23, 90, 1, 22, 91, 1, 22, 92, 1, 21, 93,
1926  1, 21, 94, 1, 20, 95, 1, 20, 95, 1, 20, 96, 1, 20, 97, 1, 21, 97, 1, 21, 98, 1,
1927  21, 98, 1, 21, 99, 2, 22, 55, 69, 99, 2, 23, 48, 74, 99, 2, 24, 43, 76, 100, 2, 25,
1928  38, 77, 100, 2, 28, 34, 78, 100, 1, 79, 100, 1, 79, 100, 1, 80, 100, 1, 80, 100, 1, 80,
1929  101, 1, 80, 101, 1, 80, 101, 1, 80, 101, 2, 54, 65, 80, 101, 2, 45, 75, 80, 101, 1, 41,
1930  101, 1, 37, 101, 1, 35, 101, 1, 32, 101, 1, 30, 101, 1, 28, 101, 1, 27, 101, 1, 26, 101,
1931  1, 24, 101, 1, 23, 101, 1, 22, 101, 1, 20, 101, 1, 19, 101, 1, 19, 101, 1, 18, 101, 1,
1932  17, 101, 1, 16, 101, 1, 15, 101, 1, 15, 101, 2, 14, 49, 71, 101, 2, 13, 45, 77, 101, 2,
1933  13, 42, 80, 101, 2, 12, 40, 80, 101, 2, 12, 39, 80, 101, 2, 12, 37, 80, 101, 2, 11, 36,
1934  80, 101, 2, 11, 34, 80, 101, 2, 11, 33, 80, 101, 2, 10, 32, 80, 101, 2, 10, 32, 80, 101,
1935  2, 10, 31, 79, 101, 2, 10, 31, 77, 101, 2, 10, 31, 75, 101, 2, 10, 31, 74, 101, 2, 10,
1936  32, 71, 101, 2, 10, 32, 69, 101, 2, 11, 33, 66, 101, 2, 11, 35, 64, 109, 2, 11, 36, 60,
1937  113, 2, 11, 40, 56, 114, 1, 12, 115, 1, 12, 116, 1, 12, 117, 1, 13, 117, 1, 14, 117, 1,
1938  14, 117, 1, 15, 118, 1, 16, 118, 1, 17, 118, 1, 18, 117, 1, 19, 117, 1, 20, 117, 1, 21,
1939  116, 2, 23, 78, 80, 115, 2, 24, 76, 80, 114, 2, 25, 74, 80, 113, 2, 27, 71, 80, 111, 1,
1940  30, 67, 1, 32, 64, 1, 37, 58, 1, 45, 49, 98, 29, 160, 1, 7, 36, 1, 4, 36, 1, 3,
1941  36, 1, 2, 36, 1, 1, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36,
1942  1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 0, 36, 1, 1, 36, 1, 2, 36, 1,
1943  2, 36, 1, 4, 36, 1, 6, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16,
1944  36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36,
1945  1, 16, 36, 1, 16, 36, 1, 16, 36, 1, 16, 36, 2, 16, 36, 59, 76, 2, 16, 36, 54, 81,
1946  2, 16, 36, 51, 84, 2, 16, 36, 48, 87, 2, 16, 36, 46, 89, 2, 16, 36, 43, 91, 2, 16,
1947  36, 42, 93, 2, 16, 36, 40, 94, 2, 16, 36, 38, 96, 1, 16, 97, 1, 16, 99, 1, 16, 100,
1948  1, 16, 101, 1, 16, 102, 1, 16, 103, 1, 16, 104, 1, 16, 105, 1, 16, 106, 1, 16, 107, 1,
1949  16, 107, 2, 16, 61, 72, 108, 2, 16, 57, 76, 109, 2, 16, 54, 79, 110, 2, 16, 53, 81, 110,
1950  2, 16, 51, 83, 111, 2, 16, 49, 84, 111, 2, 16, 48, 86, 112, 2, 16, 47, 87, 112, 2, 16,
1951  46, 88, 113, 2, 16, 45, 89, 113, 2, 16, 44, 90, 114, 2, 16, 43, 91, 114, 2, 16, 42, 92,
1952  115, 2, 16, 41, 92, 115, 2, 16, 41, 93, 115, 2, 16, 40, 93, 116, 2, 16, 40, 94, 116, 2,
1953  16, 39, 95, 116, 2, 16, 39, 95, 116, 2, 16, 38, 95, 116, 2, 16, 38, 96, 117, 2, 16, 38,
1954  96, 117, 2, 16, 37, 96, 117, 2, 16, 37, 96, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117,
1955  2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16,
1956  37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97, 117, 2, 16, 37, 97,
1957  117, 2, 16, 37, 97, 117, 2, 16, 37, 96, 117, 2, 16, 38, 96, 117, 2, 16, 38, 96, 117, 2,
1958  16, 38, 95, 116, 2, 16, 39, 95, 116, 2, 16, 39, 94, 116, 2, 16, 40, 94, 116, 2, 16, 41,
1959  93, 115, 2, 16, 41, 92, 115, 2, 16, 42, 92, 115, 2, 16, 43, 91, 114, 2, 16, 44, 90, 114,
1960  2, 16, 45, 89, 113, 2, 16, 46, 87, 113, 2, 16, 48, 86, 112, 2, 16, 50, 84, 112, 2, 7,
1961  52, 82, 111, 2, 4, 54, 79, 111, 2, 3, 59, 75, 110, 1, 2, 109, 1, 1, 109, 1, 0, 108,
1962  1, 0, 107, 1, 0, 106, 1, 0, 105, 1, 0, 104, 1, 0, 103, 1, 0, 102, 1, 0, 101, 1,
1963  0, 100, 1, 0, 98, 2, 1, 36, 37, 97, 2, 1, 36, 39, 95, 2, 2, 36, 41, 93, 2, 4,
1964  36, 43, 91, 2, 6, 36, 45, 89, 1, 48, 86, 1, 51, 83, 1, 56, 78, 99, 65, 161, 1, 55,
1965  75, 1, 50, 81, 1, 46, 84, 2, 43, 88, 97, 105, 2, 41, 90, 96, 107, 2, 39, 92, 94, 108,
1966  1, 37, 109, 1, 35, 110, 1, 34, 110, 1, 32, 110, 1, 31, 111, 1, 30, 111, 1, 29, 111, 1,
1967  27, 111, 1, 26, 111, 1, 26, 111, 1, 25, 111, 1, 24, 111, 1, 23, 111, 1, 22, 111, 2, 21,
1968  58, 72, 111, 2, 21, 54, 77, 111, 2, 20, 51, 80, 111, 2, 19, 49, 82, 111, 2, 19, 47, 84,
1969  111, 2, 18, 45, 86, 111, 2, 18, 44, 87, 111, 2, 17, 43, 88, 111, 2, 17, 41, 89, 111, 2,
1970  16, 41, 89, 111, 2, 16, 40, 90, 111, 2, 16, 39, 90, 111, 2, 15, 38, 91, 111, 2, 15, 37,
1971  91, 111, 2, 15, 37, 91, 111, 2, 14, 36, 91, 110, 2, 14, 36, 92, 110, 2, 14, 35, 92, 110,
1972  2, 14, 35, 93, 109, 2, 13, 35, 93, 108, 2, 13, 34, 95, 107, 2, 13, 34, 96, 106, 2, 13,
1973  34, 101, 102, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1,
1974  13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13, 33, 1, 13,
1975  34, 1, 13, 34, 1, 13, 34, 1, 13, 35, 1, 14, 35, 1, 14, 36, 1, 14, 36, 1, 14, 37,
1976  2, 15, 37, 102, 110, 2, 15, 38, 101, 112, 2, 15, 39, 100, 113, 2, 16, 40, 98, 114, 2, 16,
1977  41, 97, 115, 2, 17, 43, 96, 115, 2, 17, 44, 94, 116, 2, 18, 46, 92, 116, 2, 18, 49, 90,
1978  116, 2, 19, 52, 87, 116, 2, 19, 58, 81, 116, 1, 20, 116, 1, 21, 116, 1, 22, 116, 1, 22,
1979  115, 1, 23, 115, 1, 24, 114, 1, 25, 113, 1, 26, 112, 1, 28, 111, 1, 29, 110, 1, 30, 109,
1980  1, 32, 107, 1, 33, 106, 1, 35, 104, 1, 37, 102, 1, 39, 100, 1, 41, 97, 1, 44, 94, 1,
1981  48, 90, 1, 53, 84, 1, 65, 74, 100, 29, 160, 1, 79, 109, 1, 76, 109, 1, 75, 109, 1, 74,
1982  109, 1, 73, 109, 1, 72, 109, 1, 72, 109, 1, 72, 109, 1, 71, 109, 1, 71, 109, 1, 71, 109,
1983  1, 71, 109, 1, 72, 109, 1, 72, 109, 1, 72, 109, 1, 73, 109, 1, 74, 109, 1, 75, 109, 1,
1984  76, 109, 1, 79, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88,
1985  109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109, 1, 88, 109,
1986  1, 88, 109, 1, 88, 109, 1, 88, 109, 2, 49, 66, 88, 109, 2, 44, 71, 88, 109, 2, 41, 74,
1987  88, 109, 2, 38, 77, 88, 109, 2, 36, 79, 88, 109, 2, 34, 81, 88, 109, 2, 32, 83, 88, 109,
1988  2, 30, 85, 88, 109, 2, 29, 87, 88, 109, 1, 28, 109, 1, 26, 109, 1, 25, 109, 1, 24, 109,
1989  1, 23, 109, 1, 22, 109, 1, 21, 109, 1, 20, 109, 1, 19, 109, 1, 18, 109, 1, 18, 109, 2,
1990  17, 53, 63, 109, 2, 16, 49, 67, 109, 2, 15, 46, 70, 109, 2, 15, 44, 72, 109, 2, 14, 42,
1991  74, 109, 2, 13, 40, 76, 109, 2, 13, 39, 77, 109, 2, 12, 38, 78, 109, 2, 12, 37, 79, 109,
1992  2, 12, 36, 80, 109, 2, 11, 35, 81, 109, 2, 11, 34, 82, 109, 2, 10, 33, 83, 109, 2, 10,
1993  33, 84, 109, 2, 10, 32, 84, 109, 2, 9, 31, 85, 109, 2, 9, 31, 85, 109, 2, 9, 30, 86,
1994  109, 2, 9, 30, 86, 109, 2, 8, 30, 87, 109, 2, 8, 29, 87, 109, 2, 8, 29, 87, 109, 2,
1995  8, 29, 87, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28,
1996  88, 109, 2, 8, 28, 88, 109, 2, 7, 28, 88, 109, 2, 7, 28, 88, 109, 2, 7, 28, 88, 109,
1997  2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8, 28, 88, 109, 2, 8,
1998  28, 88, 109, 2, 8, 29, 87, 109, 2, 8, 29, 87, 109, 2, 8, 29, 87, 109, 2, 8, 30, 87,
1999  109, 2, 9, 30, 86, 109, 2, 9, 31, 85, 109, 2, 9, 31, 85, 109, 2, 9, 32, 84, 109, 2,
2000  10, 32, 84, 109, 2, 10, 33, 83, 109, 2, 11, 34, 82, 109, 2, 11, 35, 81, 109, 2, 11, 36,
2001  80, 109, 2, 12, 38, 78, 109, 2, 12, 39, 77, 109, 2, 13, 41, 75, 109, 2, 13, 43, 73, 117,
2002  2, 14, 45, 70, 121, 2, 15, 50, 66, 122, 1, 15, 123, 1, 16, 124, 1, 17, 125, 1, 18, 125,
2003  1, 19, 125, 1, 20, 126, 1, 21, 126, 1, 22, 126, 1, 23, 126, 1, 24, 125, 1, 25, 125, 1,
2004  27, 125, 1, 28, 124, 2, 30, 86, 88, 123, 2, 32, 84, 88, 122, 2, 33, 82, 88, 121, 2, 36,
2005  79, 88, 119, 1, 39, 77, 1, 42, 74, 1, 46, 69, 101, 65, 160, 1, 50, 70, 1, 46, 75, 1,
2006  42, 78, 1, 40, 81, 1, 37, 84, 1, 35, 86, 1, 33, 88, 1, 31, 90, 1, 30, 91, 1, 28,
2007  93, 1, 27, 94, 1, 26, 96, 1, 24, 97, 1, 23, 98, 1, 22, 99, 1, 21, 100, 1, 20, 101,
2008  1, 19, 102, 1, 18, 102, 1, 17, 103, 2, 17, 54, 67, 104, 2, 16, 49, 71, 104, 2, 15, 46,
2009  75, 105, 2, 14, 44, 77, 106, 2, 14, 42, 79, 106, 2, 13, 41, 80, 107, 2, 13, 39, 82, 107,
2010  2, 12, 38, 83, 108, 2, 12, 37, 84, 108, 2, 11, 36, 85, 109, 2, 11, 35, 86, 109, 2, 11,
2011  34, 87, 110, 2, 10, 34, 87, 110, 2, 10, 33, 88, 110, 2, 10, 32, 89, 111, 2, 9, 32, 89,
2012  111, 2, 9, 31, 90, 111, 1, 9, 112, 1, 9, 112, 1, 9, 112, 1, 8, 112, 1, 8, 112, 1,
2013  8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8,
2014  113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 8, 113, 1, 9, 113,
2015  1, 9, 113, 1, 9, 30, 1, 9, 31, 1, 9, 31, 1, 10, 32, 1, 10, 32, 1, 10, 33, 1,
2016  11, 34, 1, 11, 35, 1, 11, 36, 1, 12, 37, 2, 12, 38, 102, 104, 2, 13, 40, 96, 108, 2,
2017  13, 41, 92, 109, 2, 14, 43, 88, 110, 2, 15, 45, 84, 111, 2, 15, 49, 79, 112, 2, 16, 53,
2018  72, 112, 1, 17, 113, 1, 18, 113, 1, 18, 113, 1, 19, 113, 1, 20, 113, 1, 21, 113, 1, 22,
2019  113, 1, 23, 112, 1, 24, 111, 1, 26, 111, 1, 27, 110, 1, 28, 108, 1, 30, 106, 1, 32, 104,
2020  1, 34, 101, 1, 36, 98, 1, 38, 94, 1, 41, 89, 1, 44, 84, 1, 49, 77, 102, 29, 157, 1,
2021  71, 91, 1, 66, 100, 1, 63, 106, 1, 60, 110, 1, 58, 112, 1, 56, 114, 1, 55, 115, 1, 53,
2022  116, 1, 52, 116, 1, 51, 117, 1, 50, 117, 1, 49, 117, 1, 48, 117, 1, 47, 117, 1, 47, 117,
2023  1, 46, 117, 1, 45, 117, 1, 45, 116, 1, 44, 116, 1, 44, 115, 2, 43, 74, 85, 114, 2, 43,
2024  69, 94, 113, 2, 43, 67, 101, 111, 1, 43, 65, 1, 42, 64, 1, 42, 64, 1, 42, 63, 1, 42,
2025  63, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62,
2026  1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 30, 95, 1, 25, 101, 1, 23, 103, 1, 21, 104, 1,
2027  20, 105, 1, 20, 105, 1, 19, 106, 1, 19, 106, 1, 19, 107, 1, 18, 107, 1, 18, 107, 1, 18,
2028  107, 1, 19, 107, 1, 19, 106, 1, 19, 106, 1, 20, 105, 1, 20, 105, 1, 21, 104, 1, 22, 103,
2029  1, 24, 101, 1, 29, 97, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1,
2030  42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42,
2031  62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62,
2032  1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1,
2033  42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42,
2034  62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62,
2035  1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1, 42, 62, 1,
2036  24, 96, 1, 21, 99, 1, 20, 101, 1, 18, 102, 1, 18, 103, 1, 17, 103, 1, 17, 104, 1, 16,
2037  104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 16, 104, 1, 17, 104, 1, 17, 103,
2038  1, 18, 103, 1, 18, 102, 1, 19, 101, 1, 21, 100, 1, 23, 97, 103, 64, 200, 1, 55, 57, 1,
2039  46, 66, 1, 41, 70, 2, 38, 73, 84, 110, 2, 36, 76, 84, 115, 2, 34, 78, 84, 117, 2, 32,
2040  80, 84, 119, 2, 30, 81, 84, 120, 2, 29, 83, 84, 120, 1, 27, 121, 1, 26, 121, 1, 25, 122,
2041  1, 24, 122, 1, 23, 122, 1, 22, 122, 1, 21, 122, 1, 20, 121, 1, 19, 121, 1, 18, 120, 1,
2042  17, 120, 1, 16, 119, 2, 16, 50, 63, 118, 2, 15, 46, 66, 116, 2, 14, 44, 68, 111, 2, 14,
2043  42, 70, 105, 2, 13, 40, 72, 105, 2, 13, 39, 73, 105, 2, 12, 38, 74, 105, 2, 12, 37, 76,
2044  105, 2, 11, 36, 77, 105, 2, 11, 35, 77, 105, 2, 11, 34, 78, 105, 2, 10, 33, 79, 105, 2,
2045  10, 33, 80, 105, 2, 10, 32, 80, 105, 2, 9, 31, 81, 105, 2, 9, 31, 81, 105, 2, 9, 30,
2046  82, 105, 2, 9, 30, 82, 105, 2, 9, 30, 83, 105, 2, 8, 29, 83, 105, 2, 8, 29, 83, 105,
2047  2, 8, 29, 84, 105, 2, 8, 29, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8,
2048  28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 28, 84,
2049  105, 2, 8, 28, 84, 105, 2, 8, 28, 84, 105, 2, 8, 29, 84, 105, 2, 8, 29, 84, 105, 2,
2050  8, 29, 83, 105, 2, 8, 29, 83, 105, 2, 9, 30, 83, 105, 2, 9, 30, 82, 105, 2, 9, 31,
2051  82, 105, 2, 9, 31, 81, 105, 2, 9, 32, 81, 105, 2, 10, 32, 80, 105, 2, 10, 33, 80, 105,
2052  2, 10, 34, 79, 105, 2, 11, 34, 78, 105, 2, 11, 35, 77, 105, 2, 12, 36, 76, 105, 2, 12,
2053  37, 75, 105, 2, 12, 38, 74, 105, 2, 13, 40, 73, 105, 2, 13, 41, 71, 105, 2, 14, 43, 69,
2054  105, 2, 15, 45, 68, 105, 2, 15, 48, 65, 105, 2, 16, 51, 61, 105, 1, 17, 105, 1, 17, 105,
2055  1, 18, 105, 1, 19, 105, 1, 20, 105, 1, 21, 105, 1, 22, 105, 1, 23, 105, 1, 24, 105, 1,
2056  25, 105, 1, 26, 105, 1, 28, 105, 2, 29, 83, 84, 105, 2, 31, 81, 84, 105, 2, 32, 79, 84,
2057  105, 2, 34, 77, 84, 105, 2, 37, 75, 84, 105, 2, 39, 72, 84, 105, 2, 42, 69, 84, 105, 2,
2058  47, 65, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 105, 1, 84, 104,
2059  1, 84, 104, 1, 83, 104, 1, 83, 104, 1, 83, 104, 1, 82, 104, 1, 82, 104, 1, 81, 103, 1,
2060  80, 103, 1, 79, 103, 1, 78, 102, 1, 76, 102, 1, 74, 101, 1, 71, 101, 1, 39, 101, 1, 35,
2061  100, 1, 33, 99, 1, 32, 99, 1, 31, 98, 1, 30, 97, 1, 30, 96, 1, 29, 95, 1, 29, 95,
2062  1, 29, 93, 1, 29, 92, 1, 29, 91, 1, 29, 90, 1, 29, 88, 1, 30, 87, 1, 30, 85, 1,
2063  31, 83, 1, 32, 81, 1, 33, 78, 1, 35, 75, 1, 40, 67, 104, 29, 157, 1, 12, 41, 1, 9,
2064  41, 1, 7, 41, 1, 6, 41, 1, 5, 41, 1, 5, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41,
2065  1, 4, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41, 1, 4, 41, 1, 5, 41, 1, 5, 41, 1,
2066  6, 41, 1, 7, 41, 1, 9, 41, 1, 11, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21,
2067  41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41,
2068  1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 1, 21, 41, 2, 21, 41, 59, 76, 2, 21,
2069  41, 54, 81, 2, 21, 41, 51, 84, 2, 21, 41, 49, 86, 2, 21, 41, 46, 88, 2, 21, 41, 44,
2070  90, 2, 21, 41, 42, 91, 1, 21, 93, 1, 21, 94, 1, 21, 95, 1, 21, 96, 1, 21, 97, 1,
2071  21, 98, 1, 21, 99, 1, 21, 99, 1, 21, 100, 1, 21, 101, 1, 21, 101, 1, 21, 102, 1, 21,
2072  102, 2, 21, 62, 72, 102, 2, 21, 58, 76, 103, 2, 21, 56, 78, 103, 2, 21, 54, 80, 104, 2,
2073  21, 52, 81, 104, 2, 21, 51, 82, 104, 2, 21, 49, 83, 104, 2, 21, 48, 83, 104, 2, 21, 47,
2074  83, 105, 2, 21, 46, 84, 105, 2, 21, 45, 84, 105, 2, 21, 44, 84, 105, 2, 21, 43, 84, 105,
2075  2, 21, 42, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
2076  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
2077  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
2078  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41,
2079  84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105,
2080  2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21,
2081  41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84,
2082  105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2,
2083  21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 21, 41, 84, 105, 2, 13, 48,
2084  77, 112, 2, 11, 51, 74, 115, 2, 9, 53, 73, 116, 2, 8, 54, 72, 117, 2, 8, 54, 71, 118,
2085  2, 7, 55, 71, 119, 2, 7, 55, 70, 119, 2, 6, 56, 70, 119, 2, 6, 56, 70, 119, 2, 6,
2086  56, 70, 120, 2, 6, 56, 70, 120, 2, 6, 56, 70, 120, 2, 6, 56, 70, 119, 2, 6, 56, 70,
2087  119, 2, 7, 55, 71, 119, 2, 7, 55, 71, 118, 2, 8, 54, 72, 117, 2, 9, 53, 73, 116, 2,
2088  11, 51, 74, 115, 2, 13, 49, 77, 113, 105, 29, 157, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1,
2089  45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45,
2090  69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69, 1, 45, 69,
2091  1, 45, 69, 1, 45, 69, 1, 45, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2092  0, 0, 0, 0, 1, 33, 72, 1, 28, 72, 1, 26, 72, 1, 25, 72, 1, 24, 72, 1, 23, 72,
2093  1, 23, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1,
2094  22, 72, 1, 23, 72, 1, 23, 72, 1, 24, 72, 1, 25, 72, 1, 26, 72, 1, 28, 72, 1, 32,
2095  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2096  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2097  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2098  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2099  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2100  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2101  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 22, 102, 1, 19, 105,
2102  1, 18, 106, 1, 16, 108, 1, 16, 108, 1, 15, 109, 1, 15, 109, 1, 14, 110, 1, 14, 110, 1,
2103  14, 110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 15, 109, 1, 15, 109, 1, 15, 109, 1, 16,
2104  108, 1, 17, 107, 1, 19, 105, 1, 21, 103, 106, 29, 200, 1, 58, 82, 1, 58, 82, 1, 58, 82,
2105  1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1,
2106  58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 1, 58,
2107  82, 1, 58, 82, 1, 58, 82, 1, 58, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2108  0, 0, 0, 0, 0, 1, 31, 94, 1, 25, 94, 1, 23, 94, 1, 22, 94, 1, 21, 94, 1, 21,
2109  94, 1, 20, 94, 1, 20, 94, 1, 19, 94, 1, 19, 94, 1, 19, 94, 1, 19, 94, 1, 19, 94,
2110  1, 20, 94, 1, 20, 94, 1, 21, 94, 1, 21, 94, 1, 22, 94, 1, 23, 94, 1, 25, 94, 1,
2111  29, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
2112  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
2113  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1,
2114  74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
2115  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
2116  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1,
2117  74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
2118  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94,
2119  1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1,
2120  74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74,
2121  94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 74, 94, 1, 73, 94,
2122  1, 73, 94, 1, 72, 94, 1, 72, 94, 1, 71, 93, 1, 71, 93, 1, 70, 93, 1, 69, 92, 1,
2123  67, 92, 1, 66, 92, 1, 64, 91, 1, 61, 91, 1, 29, 90, 1, 25, 90, 1, 23, 89, 1, 21,
2124  88, 1, 21, 88, 1, 20, 87, 1, 19, 86, 1, 19, 85, 1, 19, 84, 1, 19, 83, 1, 19, 82,
2125  1, 19, 81, 1, 19, 80, 1, 19, 78, 1, 19, 77, 1, 20, 75, 1, 21, 73, 1, 22, 71, 1,
2126  23, 68, 1, 25, 65, 1, 30, 57, 107, 29, 157, 1, 16, 45, 1, 13, 45, 1, 12, 45, 1, 11,
2127  45, 1, 10, 45, 1, 9, 45, 1, 9, 45, 1, 8, 45, 1, 8, 45, 1, 8, 45, 1, 8, 45,
2128  1, 8, 45, 1, 8, 45, 1, 9, 45, 1, 9, 45, 1, 10, 45, 1, 10, 45, 1, 11, 45, 1,
2129  13, 45, 1, 15, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25,
2130  45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45,
2131  1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 1, 25, 45, 2, 25, 45, 70, 98, 2, 25,
2132  45, 65, 103, 2, 25, 45, 63, 105, 2, 25, 45, 62, 106, 2, 25, 45, 61, 107, 2, 25, 45, 60,
2133  108, 2, 25, 45, 60, 108, 2, 25, 45, 59, 108, 2, 25, 45, 59, 109, 2, 25, 45, 59, 109, 2,
2134  25, 45, 59, 109, 2, 25, 45, 59, 109, 2, 25, 45, 59, 109, 2, 25, 45, 59, 108, 2, 25, 45,
2135  60, 108, 2, 25, 45, 60, 108, 2, 25, 45, 61, 107, 2, 25, 45, 61, 106, 2, 25, 45, 60, 105,
2136  2, 25, 45, 59, 103, 2, 25, 45, 58, 99, 2, 25, 45, 56, 89, 2, 25, 45, 55, 88, 2, 25,
2137  45, 54, 86, 2, 25, 45, 53, 85, 2, 25, 45, 51, 84, 2, 25, 45, 50, 83, 2, 25, 45, 49,
2138  81, 2, 25, 45, 48, 80, 2, 25, 45, 46, 79, 1, 25, 78, 1, 25, 76, 1, 25, 75, 1, 25,
2139  74, 1, 25, 73, 1, 25, 72, 1, 25, 70, 1, 25, 69, 1, 25, 68, 1, 25, 67, 1, 25, 65,
2140  1, 25, 66, 1, 25, 67, 1, 25, 68, 1, 25, 69, 1, 25, 71, 1, 25, 72, 1, 25, 73, 1,
2141  25, 74, 1, 25, 75, 1, 25, 76, 1, 25, 77, 1, 25, 79, 1, 25, 80, 2, 25, 48, 50, 81,
2142  2, 25, 47, 52, 82, 2, 25, 45, 53, 83, 2, 25, 45, 54, 84, 2, 25, 45, 55, 85, 2, 25,
2143  45, 56, 86, 2, 25, 45, 57, 88, 2, 25, 45, 58, 89, 2, 25, 45, 59, 90, 2, 25, 45, 61,
2144  91, 2, 25, 45, 62, 92, 2, 25, 45, 63, 93, 2, 25, 45, 64, 94, 2, 25, 45, 65, 95, 2,
2145  25, 45, 66, 97, 2, 25, 45, 67, 98, 2, 16, 45, 68, 109, 2, 13, 45, 70, 113, 2, 12, 45,
2146  71, 114, 2, 11, 45, 70, 115, 2, 10, 45, 69, 116, 2, 9, 45, 69, 117, 2, 9, 45, 68, 117,
2147  2, 8, 45, 68, 117, 2, 8, 45, 67, 118, 2, 8, 45, 67, 118, 2, 8, 45, 67, 118, 2, 8,
2148  45, 67, 118, 2, 8, 45, 68, 117, 2, 9, 45, 68, 117, 2, 9, 45, 68, 117, 2, 10, 45, 69,
2149  116, 2, 10, 45, 70, 115, 2, 11, 45, 70, 115, 2, 13, 45, 72, 113, 2, 15, 45, 74, 111, 108,
2150  29, 157, 1, 30, 72, 1, 27, 72, 1, 26, 72, 1, 24, 72, 1, 24, 72, 1, 23, 72, 1, 23,
2151  72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 22, 72, 1, 23, 72,
2152  1, 23, 72, 1, 24, 72, 1, 24, 72, 1, 25, 72, 1, 27, 72, 1, 29, 72, 1, 52, 72, 1,
2153  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2154  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2155  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2156  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2157  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2158  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2159  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2160  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2161  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2162  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2163  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2164  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 22, 102, 1,
2165  19, 105, 1, 18, 107, 1, 17, 108, 1, 16, 108, 1, 15, 109, 1, 15, 109, 1, 14, 110, 1, 14,
2166  110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 14, 110, 1, 15, 110, 1, 15, 109, 1, 16, 109,
2167  1, 16, 108, 1, 17, 107, 1, 19, 105, 1, 21, 103, 109, 65, 157, 2, 43, 54, 82, 95, 2, 40,
2168  57, 78, 99, 3, 9, 31, 38, 59, 76, 101, 3, 4, 31, 36, 60, 74, 103, 3, 2, 31, 35, 62,
2169  72, 104, 3, 1, 31, 34, 63, 70, 106, 3, 0, 31, 33, 64, 69, 107, 2, 0, 65, 67, 108, 1,
2170  0, 109, 1, 0, 110, 1, 0, 111, 1, 0, 111, 1, 0, 112, 1, 0, 112, 1, 0, 113, 1, 0,
2171  113, 1, 0, 114, 1, 0, 114, 1, 0, 114, 1, 1, 115, 3, 2, 43, 49, 85, 92, 115, 3, 4,
2172  41, 51, 83, 93, 115, 3, 7, 39, 52, 81, 94, 115, 3, 10, 37, 52, 80, 94, 115, 3, 10, 36,
2173  53, 79, 95, 115, 3, 10, 35, 53, 78, 95, 115, 3, 10, 34, 53, 77, 95, 116, 3, 10, 34, 53,
2174  76, 95, 116, 3, 10, 33, 53, 75, 95, 116, 3, 10, 32, 53, 75, 95, 116, 3, 10, 31, 53, 74,
2175  95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95,
2176  116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116,
2177  3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3,
2178  10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10,
2179  31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31,
2180  53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53,
2181  73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73,
2182  95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95,
2183  116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116,
2184  3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3,
2185  10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10,
2186  31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31,
2187  53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53, 73, 95, 116, 3, 10, 31, 53,
2188  73, 95, 116, 3, 6, 35, 53, 78, 95, 120, 3, 3, 38, 53, 81, 95, 123, 3, 1, 40, 53, 82,
2189  95, 125, 3, 0, 41, 53, 83, 95, 125, 3, 0, 42, 53, 84, 95, 126, 3, 0, 42, 53, 85, 95,
2190  127, 3, 0, 43, 53, 85, 95, 127, 3, 0, 43, 53, 85, 95, 128, 3, 0, 43, 53, 86, 95, 128,
2191  3, 0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 86, 95, 128, 3,
2192  0, 43, 53, 86, 95, 128, 3, 0, 43, 53, 85, 95, 128, 3, 0, 42, 53, 85, 95, 127, 3, 0,
2193  42, 53, 84, 95, 126, 3, 0, 41, 53, 84, 95, 126, 3, 1, 40, 53, 83, 95, 125, 3, 3, 39,
2194  53, 81, 95, 123, 3, 5, 36, 53, 79, 95, 121, 110, 65, 157, 1, 60, 77, 1, 56, 81, 2, 20,
2195  42, 53, 84, 2, 15, 42, 51, 86, 2, 13, 42, 49, 88, 2, 12, 42, 47, 90, 2, 11, 42, 45,
2196  92, 2, 10, 42, 44, 93, 2, 9, 42, 43, 94, 1, 9, 95, 1, 9, 96, 1, 9, 97, 1, 9,
2197  98, 1, 9, 99, 1, 9, 99, 1, 9, 100, 1, 9, 101, 1, 10, 101, 1, 11, 102, 1, 11, 102,
2198  2, 13, 62, 73, 103, 2, 15, 58, 77, 103, 2, 18, 56, 79, 103, 2, 21, 54, 80, 104, 2, 21,
2199  52, 82, 104, 2, 21, 51, 83, 104, 2, 21, 50, 83, 104, 2, 21, 48, 84, 105, 2, 21, 47, 84,
2200  105, 2, 21, 46, 84, 105, 2, 21, 45, 85, 105, 2, 21, 44, 85, 105, 2, 21, 43, 85, 105, 2,
2201  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
2202  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
2203  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2204  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85,
2205  105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
2206  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
2207  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
2208  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2209  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 14, 49, 80,
2210  110, 2, 11, 52, 77, 113, 2, 10, 53, 76, 114, 2, 9, 54, 75, 115, 2, 8, 55, 74, 116, 2,
2211  7, 55, 73, 117, 2, 7, 56, 73, 117, 2, 7, 56, 73, 117, 2, 6, 56, 72, 117, 2, 6, 56,
2212  72, 118, 2, 6, 56, 72, 118, 2, 6, 56, 72, 118, 2, 7, 56, 73, 117, 2, 7, 56, 73, 117,
2213  2, 7, 56, 73, 117, 2, 8, 55, 74, 116, 2, 9, 54, 75, 115, 2, 10, 53, 75, 114, 2, 11,
2214  52, 77, 113, 2, 13, 49, 79, 111, 111, 65, 160, 1, 54, 71, 1, 49, 76, 1, 45, 79, 1, 42,
2215  82, 1, 40, 84, 1, 38, 86, 1, 36, 89, 1, 34, 90, 1, 33, 92, 1, 31, 93, 1, 29, 95,
2216  1, 28, 96, 1, 27, 97, 1, 26, 99, 1, 25, 100, 1, 24, 101, 1, 23, 102, 1, 22, 103, 1,
2217  21, 104, 1, 20, 104, 2, 19, 56, 68, 105, 2, 19, 52, 72, 106, 2, 18, 49, 76, 106, 2, 17,
2218  47, 78, 107, 2, 17, 45, 79, 108, 2, 16, 43, 81, 108, 2, 16, 42, 83, 109, 2, 15, 41, 84,
2219  109, 2, 15, 40, 85, 110, 2, 14, 39, 86, 110, 2, 14, 38, 87, 111, 2, 13, 37, 88, 111, 2,
2220  13, 36, 88, 112, 2, 13, 35, 89, 112, 2, 12, 35, 90, 112, 2, 12, 34, 91, 113, 2, 12, 33,
2221  91, 113, 2, 11, 33, 92, 113, 2, 11, 32, 92, 113, 2, 11, 32, 93, 114, 2, 11, 32, 93, 114,
2222  2, 11, 31, 93, 114, 2, 10, 31, 94, 114, 2, 10, 31, 94, 114, 2, 10, 31, 94, 114, 2, 10,
2223  30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94,
2224  115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 30, 94, 115, 2, 10, 31, 94, 114, 2,
2225  10, 31, 94, 114, 2, 10, 31, 93, 114, 2, 11, 32, 93, 114, 2, 11, 32, 93, 114, 2, 11, 32,
2226  92, 114, 2, 11, 33, 91, 113, 2, 11, 34, 91, 113, 2, 12, 34, 90, 113, 2, 12, 35, 89, 112,
2227  2, 13, 36, 89, 112, 2, 13, 37, 88, 112, 2, 13, 38, 87, 111, 2, 14, 39, 86, 111, 2, 14,
2228  40, 85, 110, 2, 15, 41, 83, 110, 2, 15, 43, 82, 109, 2, 16, 44, 80, 109, 2, 16, 46, 78,
2229  108, 2, 17, 48, 76, 108, 2, 18, 51, 74, 107, 2, 18, 55, 70, 106, 1, 19, 106, 1, 20, 105,
2230  1, 21, 104, 1, 22, 103, 1, 23, 102, 1, 24, 101, 1, 25, 100, 1, 26, 99, 1, 27, 98, 1,
2231  28, 96, 1, 30, 95, 1, 31, 93, 1, 33, 92, 1, 35, 90, 1, 37, 88, 1, 39, 86, 1, 41,
2232  83, 1, 44, 80, 1, 47, 77, 1, 52, 73, 112, 65, 200, 1, 59, 76, 1, 54, 81, 2, 11, 37,
2233  51, 84, 2, 6, 37, 48, 87, 2, 4, 37, 46, 89, 2, 2, 37, 43, 91, 2, 2, 37, 42, 93,
2234  2, 1, 37, 40, 95, 2, 0, 37, 38, 96, 1, 0, 98, 1, 0, 99, 1, 0, 100, 1, 0, 101,
2235  1, 0, 102, 1, 0, 103, 1, 0, 104, 1, 0, 105, 1, 1, 106, 1, 1, 107, 1, 2, 108, 2,
2236  4, 62, 73, 109, 2, 6, 57, 77, 109, 2, 10, 54, 80, 110, 2, 17, 52, 82, 111, 2, 17, 51,
2237  83, 111, 2, 17, 49, 85, 112, 2, 17, 48, 86, 112, 2, 17, 47, 87, 113, 2, 17, 46, 88, 113,
2238  2, 17, 45, 90, 114, 2, 17, 44, 90, 114, 2, 17, 43, 91, 115, 2, 17, 42, 92, 115, 2, 17,
2239  41, 93, 115, 2, 17, 41, 93, 116, 2, 17, 40, 94, 116, 2, 17, 40, 94, 116, 2, 17, 39, 95,
2240  116, 2, 17, 39, 95, 117, 2, 17, 38, 96, 117, 2, 17, 38, 96, 117, 2, 17, 38, 96, 117, 2,
2241  17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37,
2242  97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 97, 117, 2, 17, 37, 96, 117,
2243  2, 17, 38, 96, 117, 2, 17, 38, 96, 117, 2, 17, 39, 95, 117, 2, 17, 39, 95, 117, 2, 17,
2244  40, 94, 116, 2, 17, 40, 93, 116, 2, 17, 41, 93, 116, 2, 17, 42, 92, 115, 2, 17, 43, 91,
2245  115, 2, 17, 44, 90, 115, 2, 17, 45, 89, 114, 2, 17, 46, 88, 114, 2, 17, 47, 87, 113, 2,
2246  17, 49, 85, 113, 2, 17, 50, 84, 112, 2, 17, 52, 82, 112, 2, 17, 54, 80, 111, 2, 17, 57,
2247  77, 111, 2, 17, 62, 72, 110, 1, 17, 109, 1, 17, 108, 1, 17, 107, 1, 17, 106, 1, 17, 106,
2248  1, 17, 105, 1, 17, 103, 1, 17, 102, 1, 17, 101, 1, 17, 100, 1, 17, 98, 2, 17, 37, 38,
2249  97, 2, 17, 37, 40, 95, 2, 17, 37, 41, 93, 2, 17, 37, 43, 92, 2, 17, 37, 46, 89, 2,
2250  17, 37, 48, 87, 2, 17, 37, 51, 85, 2, 17, 37, 55, 80, 2, 17, 37, 59, 76, 1, 17, 37,
2251  1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1,
2252  17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17,
2253  37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37, 1, 17, 37,
2254  1, 17, 37, 1, 10, 52, 1, 6, 57, 1, 4, 59, 1, 2, 60, 1, 1, 61, 1, 1, 61, 1,
2255  0, 62, 1, 0, 62, 1, 0, 62, 1, 0, 63, 1, 0, 63, 1, 0, 63, 1, 0, 62, 1, 0,
2256  62, 1, 0, 62, 1, 1, 61, 1, 1, 61, 1, 2, 60, 1, 4, 59, 1, 6, 56, 1, 11, 51,
2257  113, 65, 200, 1, 49, 67, 1, 45, 72, 2, 41, 75, 89, 115, 2, 39, 78, 89, 120, 2, 37, 80,
2258  89, 122, 2, 34, 82, 89, 123, 2, 33, 84, 89, 124, 2, 31, 86, 89, 125, 2, 30, 87, 89, 125,
2259  1, 28, 126, 1, 27, 126, 1, 26, 126, 1, 25, 126, 1, 23, 126, 1, 22, 126, 1, 21, 126, 1,
2260  21, 125, 1, 20, 125, 1, 19, 124, 1, 18, 123, 2, 17, 54, 65, 122, 2, 16, 49, 69, 120, 2,
2261  16, 46, 71, 116, 2, 15, 44, 73, 109, 2, 14, 43, 75, 109, 2, 14, 41, 77, 109, 2, 13, 39,
2262  78, 109, 2, 13, 38, 79, 109, 2, 12, 38, 80, 109, 2, 12, 37, 81, 109, 2, 11, 36, 82, 109,
2263  2, 11, 35, 83, 109, 2, 11, 34, 84, 109, 2, 10, 33, 84, 109, 2, 10, 33, 85, 109, 2, 10,
2264  32, 86, 109, 2, 10, 31, 86, 109, 2, 9, 31, 86, 109, 2, 9, 30, 87, 109, 2, 9, 30, 87,
2265  109, 2, 9, 30, 88, 109, 2, 9, 29, 88, 109, 2, 9, 29, 88, 109, 2, 9, 29, 89, 109, 2,
2266  8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29, 89, 109, 2, 8, 29,
2267  89, 109, 2, 9, 29, 88, 109, 2, 9, 29, 88, 109, 2, 9, 30, 88, 109, 2, 9, 30, 88, 109,
2268  2, 9, 30, 87, 109, 2, 9, 31, 87, 109, 2, 9, 32, 86, 109, 2, 10, 32, 85, 109, 2, 10,
2269  33, 85, 109, 2, 10, 34, 84, 109, 2, 11, 35, 83, 109, 2, 11, 36, 82, 109, 2, 11, 37, 81,
2270  109, 2, 12, 38, 80, 109, 2, 12, 39, 79, 109, 2, 13, 40, 77, 109, 2, 13, 42, 76, 109, 2,
2271  14, 44, 74, 109, 2, 15, 46, 72, 109, 2, 15, 49, 69, 109, 2, 16, 54, 63, 109, 1, 17, 109,
2272  1, 17, 109, 1, 18, 109, 1, 19, 109, 1, 20, 109, 1, 21, 109, 1, 22, 109, 1, 24, 109, 1,
2273  25, 109, 1, 26, 109, 1, 28, 109, 2, 29, 88, 89, 109, 2, 31, 86, 89, 109, 2, 32, 84, 89,
2274  109, 2, 34, 82, 89, 109, 2, 36, 80, 89, 109, 2, 39, 77, 89, 109, 2, 41, 75, 89, 109, 2,
2275  45, 71, 89, 109, 2, 49, 67, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1,
2276  89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89,
2277  109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109,
2278  1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 89, 109, 1, 73, 116, 1, 69, 120, 1,
2279  67, 122, 1, 66, 123, 1, 65, 124, 1, 64, 125, 1, 64, 125, 1, 64, 126, 1, 63, 126, 1, 63,
2280  126, 1, 63, 126, 1, 63, 126, 1, 63, 126, 1, 64, 126, 1, 64, 125, 1, 65, 125, 1, 65, 124,
2281  1, 66, 123, 1, 67, 122, 1, 69, 120, 1, 74, 115, 114, 65, 157, 1, 85, 98, 1, 81, 101, 2,
2282  28, 58, 79, 103, 2, 23, 58, 77, 106, 2, 21, 58, 74, 107, 2, 20, 58, 73, 109, 2, 19, 58,
2283  71, 110, 2, 18, 58, 69, 111, 2, 17, 58, 68, 113, 2, 17, 58, 66, 114, 2, 17, 58, 65, 115,
2284  2, 17, 58, 63, 115, 2, 17, 58, 62, 116, 2, 17, 58, 60, 116, 2, 17, 58, 59, 117, 1, 17,
2285  117, 1, 17, 117, 1, 18, 117, 1, 19, 117, 1, 19, 117, 2, 21, 89, 94, 117, 2, 23, 86, 96,
2286  116, 2, 27, 84, 98, 116, 2, 38, 82, 99, 115, 2, 38, 80, 100, 114, 2, 38, 79, 101, 113, 2,
2287  38, 77, 103, 111, 2, 38, 76, 107, 108, 1, 38, 74, 1, 38, 73, 1, 38, 72, 1, 38, 70, 1,
2288  38, 69, 1, 38, 68, 1, 38, 66, 1, 38, 65, 1, 38, 64, 1, 38, 63, 1, 38, 61, 1, 38,
2289  60, 1, 38, 59, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58,
2290  1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1,
2291  38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38,
2292  58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 38, 58,
2293  1, 38, 58, 1, 38, 58, 1, 38, 58, 1, 20, 92, 1, 17, 95, 1, 16, 97, 1, 14, 98, 1,
2294  14, 99, 1, 13, 99, 1, 13, 100, 1, 12, 100, 1, 12, 100, 1, 12, 100, 1, 12, 100, 1, 12,
2295  100, 1, 12, 100, 1, 13, 100, 1, 13, 99, 1, 13, 99, 1, 14, 98, 1, 15, 97, 1, 17, 96,
2296  1, 19, 93, 115, 65, 160, 1, 52, 72, 1, 47, 77, 2, 43, 81, 94, 96, 2, 41, 84, 91, 99,
2297  2, 38, 86, 89, 100, 1, 36, 101, 1, 34, 102, 1, 33, 103, 1, 31, 103, 1, 30, 103, 1, 28,
2298  104, 1, 27, 104, 1, 26, 104, 1, 25, 104, 1, 25, 104, 1, 24, 104, 1, 23, 104, 1, 23, 104,
2299  1, 22, 104, 1, 22, 104, 2, 21, 55, 69, 104, 2, 21, 50, 73, 104, 2, 21, 47, 76, 104, 2,
2300  21, 44, 79, 104, 2, 21, 43, 81, 104, 2, 20, 41, 83, 104, 2, 20, 41, 84, 104, 2, 20, 40,
2301  84, 104, 2, 20, 41, 85, 103, 2, 20, 41, 85, 103, 2, 20, 42, 86, 102, 2, 21, 44, 87, 101,
2302  2, 21, 46, 88, 100, 2, 21, 49, 90, 98, 1, 21, 55, 1, 22, 62, 1, 22, 68, 1, 22, 74,
2303  1, 23, 79, 1, 23, 83, 1, 24, 86, 1, 25, 89, 1, 26, 91, 1, 26, 93, 1, 27, 95, 1,
2304  28, 96, 1, 30, 98, 1, 31, 99, 1, 33, 100, 1, 35, 101, 1, 37, 102, 1, 40, 103, 1, 44,
2305  104, 1, 48, 104, 1, 54, 105, 1, 62, 106, 1, 69, 106, 1, 75, 106, 2, 24, 29, 79, 107, 2,
2306  21, 31, 82, 107, 2, 20, 33, 84, 108, 2, 19, 34, 85, 108, 2, 18, 34, 86, 108, 2, 18, 35,
2307  87, 108, 2, 17, 35, 88, 108, 2, 17, 36, 88, 108, 2, 17, 36, 88, 109, 2, 17, 37, 88, 108,
2308  2, 16, 38, 87, 108, 2, 16, 40, 86, 108, 2, 16, 41, 85, 108, 2, 16, 43, 83, 108, 2, 16,
2309  46, 81, 108, 2, 16, 49, 77, 107, 2, 16, 53, 73, 107, 1, 16, 107, 1, 16, 106, 1, 16, 106,
2310  1, 16, 105, 1, 16, 104, 1, 16, 104, 1, 16, 103, 1, 16, 102, 1, 17, 101, 1, 17, 99, 1,
2311  17, 98, 1, 18, 96, 1, 18, 95, 1, 19, 93, 1, 20, 92, 2, 21, 32, 36, 89, 2, 23, 30,
2312  38, 87, 1, 41, 84, 1, 45, 80, 1, 50, 75, 116, 36, 160, 1, 43, 51, 1, 41, 53, 1, 40,
2313  54, 1, 39, 55, 1, 38, 56, 1, 38, 56, 1, 38, 56, 1, 37, 56, 1, 37, 57, 1, 37, 57,
2314  1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1,
2315  37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37,
2316  57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 27, 97,
2317  1, 22, 102, 1, 20, 104, 1, 19, 105, 1, 18, 106, 1, 17, 107, 1, 17, 107, 1, 16, 108, 1,
2318  16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 16, 108, 1, 17, 107, 1, 17,
2319  107, 1, 18, 106, 1, 19, 105, 1, 20, 104, 1, 22, 102, 1, 26, 98, 1, 37, 57, 1, 37, 57,
2320  1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1,
2321  37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37,
2322  57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57,
2323  1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1,
2324  37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37,
2325  57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 1, 37, 57, 2, 37, 57, 109, 114, 2, 37, 57, 106,
2326  116, 2, 37, 58, 104, 117, 2, 37, 58, 101, 118, 2, 37, 59, 99, 119, 2, 37, 59, 97, 120, 2,
2327  37, 61, 93, 120, 2, 38, 63, 90, 121, 2, 38, 66, 84, 121, 1, 38, 121, 1, 39, 121, 1, 39,
2328  121, 1, 39, 121, 1, 40, 120, 1, 41, 120, 1, 41, 119, 1, 42, 118, 1, 43, 117, 1, 43, 116,
2329  1, 44, 115, 1, 45, 113, 1, 46, 111, 1, 48, 108, 1, 49, 106, 1, 51, 102, 1, 53, 99, 1,
2330  56, 95, 1, 58, 91, 1, 63, 86, 117, 67, 160, 2, 16, 42, 75, 105, 2, 10, 42, 70, 105, 2,
2331  8, 42, 68, 105, 2, 7, 42, 67, 105, 2, 6, 42, 66, 105, 2, 6, 42, 65, 105, 2, 5, 42,
2332  65, 105, 2, 5, 42, 64, 105, 2, 4, 42, 64, 105, 2, 4, 42, 64, 105, 2, 4, 42, 64, 105,
2333  2, 4, 42, 64, 105, 2, 4, 42, 64, 105, 2, 5, 42, 64, 105, 2, 5, 42, 65, 105, 2, 6,
2334  42, 65, 105, 2, 6, 42, 66, 105, 2, 7, 42, 67, 105, 2, 8, 42, 68, 105, 2, 10, 42, 70,
2335  105, 2, 14, 42, 74, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
2336  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
2337  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
2338  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2339  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85,
2340  105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2,
2341  21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42,
2342  85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105,
2343  2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21,
2344  42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 85, 105, 2, 21, 42, 84, 105, 2, 21, 42, 82,
2345  105, 2, 21, 42, 81, 105, 2, 21, 42, 79, 105, 2, 21, 42, 77, 105, 2, 21, 43, 75, 105, 2,
2346  21, 43, 73, 105, 2, 22, 44, 71, 105, 2, 22, 45, 68, 110, 2, 22, 46, 65, 113, 2, 22, 49,
2347  61, 114, 1, 23, 115, 1, 23, 116, 1, 23, 117, 1, 24, 117, 1, 24, 117, 1, 25, 118, 1, 26,
2348  118, 1, 26, 118, 1, 27, 118, 1, 28, 117, 1, 29, 117, 1, 30, 117, 1, 31, 116, 2, 32, 83,
2349  85, 115, 2, 33, 80, 85, 115, 2, 35, 78, 85, 113, 2, 36, 75, 85, 111, 1, 38, 72, 1, 41,
2350  68, 1, 44, 63, 118, 67, 157, 2, 13, 44, 80, 112, 2, 7, 49, 75, 117, 2, 5, 51, 73, 119,
2351  2, 4, 53, 72, 121, 2, 3, 54, 71, 122, 2, 3, 54, 70, 122, 2, 2, 55, 70, 123, 2, 2,
2352  55, 69, 123, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124, 2, 1, 55, 69, 124, 2, 1, 55, 69,
2353  124, 2, 1, 55, 69, 124, 2, 2, 55, 69, 123, 2, 2, 55, 70, 123, 2, 3, 54, 70, 122, 2,
2354  3, 54, 71, 122, 2, 4, 53, 71, 121, 2, 5, 52, 73, 120, 2, 7, 50, 74, 118, 2, 11, 45,
2355  79, 113, 2, 18, 41, 84, 106, 2, 19, 41, 83, 106, 2, 19, 42, 83, 105, 2, 20, 42, 82, 105,
2356  2, 20, 43, 82, 104, 2, 21, 43, 81, 104, 2, 21, 44, 81, 103, 2, 21, 44, 80, 103, 2, 22,
2357  45, 80, 102, 2, 22, 45, 79, 102, 2, 23, 45, 79, 101, 2, 23, 46, 78, 101, 2, 24, 46, 78,
2358  100, 2, 24, 47, 77, 100, 2, 25, 47, 77, 100, 2, 25, 48, 76, 99, 2, 26, 48, 76, 99, 2,
2359  26, 49, 75, 98, 2, 27, 49, 75, 98, 2, 27, 50, 74, 97, 2, 28, 50, 74, 97, 2, 28, 51,
2360  74, 96, 2, 29, 51, 73, 96, 2, 29, 52, 73, 95, 2, 30, 52, 72, 95, 2, 30, 53, 72, 94,
2361  2, 31, 53, 71, 94, 2, 31, 54, 71, 93, 2, 32, 54, 70, 93, 2, 32, 55, 70, 92, 2, 33,
2362  55, 69, 92, 2, 33, 56, 69, 91, 2, 34, 56, 68, 91, 2, 34, 57, 68, 90, 2, 35, 57, 67,
2363  90, 2, 35, 58, 67, 89, 2, 36, 58, 66, 89, 2, 36, 59, 66, 88, 2, 37, 59, 65, 88, 2,
2364  37, 60, 65, 87, 2, 38, 60, 64, 87, 2, 38, 61, 64, 86, 2, 39, 61, 63, 86, 2, 39, 62,
2365  63, 85, 1, 40, 85, 1, 40, 84, 1, 41, 84, 1, 41, 83, 1, 42, 83, 1, 42, 82, 1, 42,
2366  82, 1, 43, 81, 1, 43, 81, 1, 44, 80, 1, 44, 80, 1, 45, 80, 1, 45, 79, 1, 46, 79,
2367  1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76, 1, 49, 75, 1,
2368  50, 75, 1, 50, 74, 1, 51, 74, 1, 51, 73, 119, 67, 157, 2, 12, 36, 88, 112, 2, 7, 41,
2369  83, 117, 2, 5, 43, 81, 119, 2, 4, 44, 80, 120, 2, 3, 45, 79, 121, 2, 2, 46, 78, 122,
2370  2, 2, 46, 78, 122, 2, 1, 46, 78, 123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2, 1,
2371  47, 77, 123, 2, 1, 47, 77, 123, 2, 1, 47, 77, 123, 2, 1, 46, 78, 123, 2, 2, 46, 78,
2372  123, 2, 2, 46, 78, 122, 2, 3, 45, 79, 121, 2, 4, 44, 80, 121, 2, 5, 43, 81, 119, 2,
2373  7, 41, 82, 117, 3, 11, 37, 53, 71, 87, 113, 3, 12, 33, 53, 72, 92, 112, 3, 13, 33, 52,
2374  72, 91, 112, 3, 13, 33, 52, 73, 91, 112, 3, 13, 34, 51, 73, 91, 112, 3, 13, 34, 51, 73,
2375  91, 111, 3, 13, 34, 51, 74, 90, 111, 3, 14, 34, 50, 74, 90, 111, 3, 14, 35, 50, 74, 90,
2376  111, 3, 14, 35, 49, 75, 90, 110, 3, 14, 35, 49, 75, 89, 110, 3, 15, 35, 49, 76, 89, 110,
2377  3, 15, 36, 48, 76, 89, 110, 3, 15, 36, 48, 76, 89, 109, 3, 15, 36, 48, 77, 88, 109, 3,
2378  16, 36, 47, 77, 88, 109, 3, 16, 37, 47, 78, 88, 109, 3, 16, 37, 46, 78, 88, 108, 3, 16,
2379  37, 46, 78, 87, 108, 3, 17, 37, 46, 79, 87, 108, 3, 17, 38, 45, 79, 87, 108, 3, 17, 38,
2380  45, 79, 87, 108, 3, 17, 38, 45, 80, 86, 107, 3, 18, 38, 44, 80, 86, 107, 3, 18, 39, 44,
2381  81, 86, 107, 3, 18, 39, 43, 81, 86, 107, 3, 18, 39, 43, 81, 85, 106, 3, 19, 39, 43, 82,
2382  85, 106, 3, 19, 40, 42, 82, 85, 106, 3, 19, 40, 42, 83, 85, 106, 3, 19, 40, 41, 83, 84,
2383  105, 3, 20, 40, 41, 83, 84, 105, 2, 20, 40, 41, 105, 1, 20, 105, 2, 20, 62, 63, 104, 2,
2384  21, 61, 63, 104, 2, 21, 61, 64, 104, 2, 21, 61, 64, 104, 2, 21, 60, 64, 103, 2, 22, 60,
2385  65, 103, 2, 22, 59, 65, 103, 2, 22, 59, 66, 103, 2, 22, 59, 66, 103, 2, 23, 58, 66, 102,
2386  2, 23, 58, 67, 102, 2, 23, 57, 67, 102, 2, 23, 57, 68, 102, 2, 24, 57, 68, 101, 2, 24,
2387  56, 68, 101, 2, 24, 56, 69, 101, 2, 24, 56, 69, 101, 2, 24, 55, 70, 100, 2, 25, 55, 70,
2388  100, 2, 25, 54, 70, 100, 2, 25, 54, 71, 100, 2, 25, 54, 71, 99, 2, 26, 53, 72, 99, 2,
2389  26, 53, 72, 99, 2, 26, 53, 72, 99, 2, 26, 52, 73, 98, 2, 27, 52, 73, 98, 2, 27, 51,
2390  74, 98, 2, 27, 51, 74, 98, 2, 27, 51, 74, 97, 2, 28, 50, 75, 97, 2, 28, 50, 75, 97,
2391  2, 28, 50, 76, 97, 2, 28, 49, 76, 97, 2, 29, 49, 76, 96, 2, 29, 48, 77, 96, 120, 67,
2392  157, 2, 21, 44, 80, 103, 2, 16, 49, 75, 109, 2, 14, 51, 73, 111, 2, 12, 53, 72, 112, 2,
2393  11, 54, 71, 113, 2, 11, 54, 70, 113, 2, 10, 55, 70, 114, 2, 10, 55, 69, 114, 2, 10, 55,
2394  69, 115, 2, 9, 55, 69, 115, 2, 9, 55, 69, 115, 2, 10, 55, 69, 115, 2, 10, 55, 69, 114,
2395  2, 10, 55, 69, 114, 2, 10, 55, 70, 114, 2, 11, 54, 70, 113, 2, 11, 53, 71, 113, 2, 12,
2396  53, 72, 112, 2, 14, 52, 73, 111, 2, 15, 50, 74, 109, 2, 19, 51, 73, 105, 2, 21, 52, 72,
2397  103, 2, 22, 53, 71, 102, 2, 23, 54, 70, 101, 2, 25, 56, 69, 100, 2, 26, 57, 68, 98, 2,
2398  27, 58, 66, 97, 2, 28, 59, 65, 96, 2, 29, 60, 64, 95, 2, 30, 62, 63, 94, 1, 32, 93,
2399  1, 33, 91, 1, 34, 90, 1, 35, 89, 1, 36, 88, 1, 37, 87, 1, 39, 86, 1, 40, 84, 1,
2400  41, 83, 1, 42, 82, 1, 43, 81, 1, 44, 80, 1, 46, 78, 1, 47, 77, 1, 45, 78, 1, 44,
2401  80, 1, 43, 81, 1, 42, 82, 1, 41, 83, 1, 40, 84, 1, 39, 85, 1, 38, 87, 1, 36, 88,
2402  1, 35, 89, 1, 34, 90, 1, 33, 91, 1, 32, 92, 2, 31, 61, 63, 94, 2, 30, 60, 64, 95,
2403  2, 28, 59, 65, 96, 2, 27, 58, 66, 97, 2, 26, 57, 67, 98, 2, 25, 55, 69, 99, 2, 24,
2404  54, 70, 101, 2, 23, 53, 71, 102, 2, 22, 52, 72, 103, 2, 21, 51, 73, 104, 2, 19, 50, 74,
2405  105, 2, 18, 48, 76, 106, 2, 17, 47, 77, 108, 2, 14, 48, 76, 111, 2, 11, 51, 74, 114, 2,
2406  9, 52, 73, 115, 2, 8, 53, 71, 117, 2, 7, 54, 71, 117, 2, 7, 54, 70, 118, 2, 6, 55,
2407  70, 118, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 69, 119,
2408  2, 6, 55, 69, 119, 2, 6, 55, 69, 119, 2, 6, 55, 70, 119, 2, 6, 54, 70, 118, 2, 7,
2409  54, 70, 118, 2, 8, 53, 71, 117, 2, 9, 52, 72, 116, 2, 10, 51, 74, 114, 2, 13, 48, 76,
2410  112, 121, 67, 200, 2, 17, 40, 84, 108, 2, 12, 45, 79, 113, 2, 10, 47, 77, 115, 2, 8, 48,
2411  76, 116, 2, 7, 49, 75, 117, 2, 7, 50, 74, 118, 2, 6, 50, 74, 118, 2, 6, 51, 74, 119,
2412  2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6, 51, 73, 119, 2, 6,
2413  51, 73, 119, 2, 6, 51, 74, 119, 2, 6, 50, 74, 118, 2, 7, 50, 74, 118, 2, 8, 49, 75,
2414  117, 2, 8, 48, 76, 117, 2, 10, 47, 77, 115, 2, 11, 45, 79, 114, 2, 15, 41, 83, 109, 2,
2415  16, 39, 85, 108, 2, 17, 39, 85, 108, 2, 17, 40, 84, 107, 2, 18, 40, 84, 107, 2, 18, 41,
2416  83, 106, 2, 19, 41, 83, 106, 2, 19, 42, 82, 105, 2, 20, 42, 82, 105, 2, 20, 43, 81, 104,
2417  2, 21, 43, 81, 104, 2, 21, 44, 80, 103, 2, 22, 44, 80, 103, 2, 22, 45, 79, 102, 2, 23,
2418  45, 79, 102, 2, 23, 46, 78, 101, 2, 24, 46, 78, 101, 2, 24, 47, 77, 100, 2, 25, 47, 77,
2419  100, 2, 25, 48, 76, 99, 2, 26, 48, 76, 99, 2, 26, 49, 75, 98, 2, 27, 49, 75, 98, 2,
2420  27, 50, 74, 97, 2, 28, 50, 74, 97, 2, 28, 51, 73, 96, 2, 29, 51, 73, 96, 2, 29, 52,
2421  72, 95, 2, 30, 52, 72, 95, 2, 30, 53, 71, 94, 2, 31, 53, 71, 93, 2, 31, 54, 70, 93,
2422  2, 32, 55, 70, 92, 2, 32, 55, 69, 92, 2, 33, 56, 69, 91, 2, 33, 56, 68, 91, 2, 34,
2423  57, 68, 90, 2, 34, 57, 67, 90, 2, 35, 58, 67, 89, 2, 35, 58, 66, 89, 2, 36, 59, 66,
2424  88, 2, 36, 59, 65, 88, 2, 37, 60, 65, 87, 2, 37, 60, 64, 87, 2, 38, 61, 64, 86, 2,
2425  38, 61, 63, 86, 2, 39, 62, 63, 85, 1, 39, 85, 1, 40, 84, 1, 41, 84, 1, 41, 83, 1,
2426  42, 83, 1, 42, 82, 1, 43, 82, 1, 43, 81, 1, 44, 81, 1, 44, 80, 1, 45, 80, 1, 45,
2427  79, 1, 46, 79, 1, 46, 78, 1, 47, 78, 1, 47, 77, 1, 48, 77, 1, 48, 76, 1, 49, 76,
2428  1, 49, 75, 1, 50, 75, 1, 50, 74, 1, 51, 74, 1, 50, 73, 1, 50, 73, 1, 49, 72, 1,
2429  49, 72, 1, 48, 71, 1, 48, 71, 1, 47, 70, 1, 47, 70, 1, 46, 69, 1, 46, 69, 1, 45,
2430  68, 1, 45, 68, 1, 44, 67, 1, 44, 67, 1, 43, 66, 1, 43, 66, 1, 42, 65, 1, 42, 65,
2431  1, 41, 64, 1, 41, 64, 1, 40, 63, 1, 40, 63, 1, 16, 66, 1, 11, 71, 1, 10, 73, 1,
2432  8, 74, 1, 7, 75, 1, 7, 76, 1, 6, 76, 1, 6, 76, 1, 6, 77, 1, 6, 77, 1, 5,
2433  77, 1, 6, 77, 1, 6, 77, 1, 6, 76, 1, 6, 76, 1, 7, 76, 1, 7, 75, 1, 8, 74,
2434  1, 10, 73, 1, 12, 71, 1, 17, 66, 122, 67, 157, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1,
2435  21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21,
2436  105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 105, 1, 21, 104,
2437  1, 21, 103, 1, 21, 102, 1, 21, 101, 2, 21, 41, 71, 100, 2, 21, 41, 70, 99, 2, 21, 41,
2438  69, 98, 2, 21, 41, 68, 97, 2, 21, 41, 67, 96, 2, 21, 41, 66, 95, 2, 21, 41, 65, 94,
2439  2, 21, 41, 64, 93, 2, 22, 40, 63, 92, 2, 22, 40, 62, 91, 2, 23, 39, 61, 90, 2, 23,
2440  39, 60, 89, 2, 24, 38, 59, 88, 2, 25, 37, 58, 87, 2, 27, 34, 57, 86, 1, 56, 85, 1,
2441  55, 84, 1, 54, 83, 1, 53, 82, 1, 52, 81, 1, 51, 80, 1, 50, 79, 1, 49, 78, 1, 48,
2442  77, 1, 47, 76, 1, 46, 75, 1, 45, 74, 1, 44, 73, 1, 43, 72, 1, 42, 71, 1, 41, 70,
2443  1, 40, 69, 1, 39, 68, 1, 38, 67, 1, 37, 66, 1, 36, 65, 1, 35, 64, 1, 34, 63, 2,
2444  33, 62, 93, 101, 2, 32, 61, 91, 103, 2, 31, 60, 90, 104, 2, 30, 59, 89, 105, 2, 29, 58,
2445  89, 105, 2, 28, 57, 88, 106, 2, 27, 56, 88, 106, 2, 26, 55, 87, 106, 2, 25, 54, 87, 107,
2446  2, 24, 53, 87, 107, 2, 23, 52, 87, 107, 1, 22, 107, 1, 21, 107, 1, 20, 107, 1, 19, 107,
2447  1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1,
2448  19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19, 107, 1, 19,
2449  107, 1, 19, 107, 123, 29, 189, 1, 74, 80, 1, 70, 84, 1, 68, 85, 1, 66, 86, 1, 64, 87,
2450  1, 63, 88, 1, 62, 88, 1, 61, 89, 1, 60, 89, 1, 59, 89, 1, 58, 89, 1, 57, 89, 1,
2451  56, 89, 1, 56, 88, 1, 55, 88, 1, 55, 88, 1, 54, 87, 1, 54, 86, 1, 54, 85, 1, 53,
2452  83, 1, 53, 80, 1, 53, 75, 1, 52, 74, 1, 52, 74, 1, 52, 73, 1, 52, 73, 1, 52, 73,
2453  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2454  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2455  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2456  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2457  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2458  72, 1, 52, 72, 1, 51, 72, 1, 51, 72, 1, 50, 72, 1, 46, 72, 1, 42, 71, 1, 40, 71,
2459  1, 38, 71, 1, 37, 70, 1, 37, 70, 1, 36, 69, 1, 36, 69, 1, 36, 68, 1, 36, 67, 1,
2460  35, 67, 1, 35, 67, 1, 36, 67, 1, 36, 68, 1, 36, 69, 1, 36, 69, 1, 37, 70, 1, 37,
2461  70, 1, 38, 71, 1, 40, 71, 1, 42, 71, 1, 46, 72, 1, 49, 72, 1, 51, 72, 1, 51, 72,
2462  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2463  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2464  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2465  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2466  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2467  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 73, 1, 52, 73, 1, 52, 73, 1, 52, 73,
2468  1, 53, 74, 1, 53, 76, 1, 53, 80, 1, 53, 84, 1, 54, 85, 1, 54, 86, 1, 54, 87, 1,
2469  55, 88, 1, 55, 88, 1, 56, 88, 1, 57, 89, 1, 57, 89, 1, 58, 89, 1, 59, 89, 1, 60,
2470  89, 1, 61, 89, 1, 62, 88, 1, 63, 88, 1, 64, 87, 1, 66, 86, 1, 68, 85, 1, 70, 84,
2471  1, 74, 81, 124, 29, 189, 1, 60, 64, 1, 57, 67, 1, 56, 69, 1, 55, 69, 1, 54, 70, 1,
2472  53, 71, 1, 53, 71, 1, 53, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2473  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2474  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2475  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2476  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2477  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2478  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2479  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2480  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2481  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2482  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2483  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2484  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2485  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2486  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2487  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2488  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2489  1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1,
2490  52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52,
2491  72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72, 1, 52, 72,
2492  1, 53, 72, 1, 53, 71, 1, 53, 71, 1, 54, 71, 1, 55, 70, 1, 56, 69, 1, 57, 67, 1,
2493  59, 65, 125, 29, 189, 1, 43, 49, 1, 40, 53, 1, 38, 56, 1, 37, 58, 1, 37, 59, 1, 36,
2494  61, 1, 35, 62, 1, 35, 63, 1, 35, 64, 1, 35, 65, 1, 35, 66, 1, 35, 66, 1, 35, 67,
2495  1, 35, 68, 1, 36, 68, 1, 36, 69, 1, 37, 69, 1, 38, 70, 1, 39, 70, 1, 40, 70, 1,
2496  44, 71, 1, 48, 71, 1, 50, 71, 1, 50, 71, 1, 51, 71, 1, 51, 71, 1, 51, 72, 1, 51,
2497  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2498  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2499  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51,
2500  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2501  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 52, 72, 1,
2502  52, 72, 1, 52, 72, 1, 52, 73, 1, 52, 74, 1, 52, 77, 1, 52, 82, 1, 53, 84, 1, 53,
2503  85, 1, 53, 86, 1, 54, 87, 1, 54, 87, 1, 55, 88, 1, 56, 88, 1, 56, 88, 1, 57, 88,
2504  1, 57, 88, 1, 56, 88, 1, 56, 88, 1, 55, 88, 1, 54, 87, 1, 54, 87, 1, 53, 86, 1,
2505  53, 85, 1, 52, 84, 1, 52, 82, 1, 52, 78, 1, 52, 74, 1, 52, 73, 1, 52, 73, 1, 52,
2506  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2507  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2508  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51,
2509  72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72,
2510  1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1,
2511  51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 72, 1, 51, 71, 1, 51, 71, 1, 50, 71, 1, 50,
2512  71, 1, 48, 71, 1, 44, 71, 1, 40, 70, 1, 39, 70, 1, 38, 70, 1, 37, 69, 1, 36, 69,
2513  1, 36, 68, 1, 35, 68, 1, 35, 67, 1, 35, 67, 1, 35, 66, 1, 35, 65, 1, 35, 64, 1,
2514  35, 63, 1, 35, 62, 1, 36, 61, 1, 37, 59, 1, 37, 58, 1, 38, 56, 1, 40, 53, 1, 43,
2515  50, 126, 79, 121, 1, 38, 50, 1, 36, 53, 1, 33, 56, 1, 32, 57, 1, 30, 59, 1, 28, 60,
2516  2, 27, 61, 98, 102, 2, 26, 63, 96, 105, 2, 25, 64, 94, 107, 2, 24, 65, 93, 108, 2, 23,
2517  66, 92, 109, 2, 22, 67, 92, 109, 2, 21, 68, 91, 110, 2, 20, 69, 90, 110, 2, 19, 70, 89,
2518  110, 2, 18, 71, 88, 110, 2, 17, 72, 87, 111, 2, 17, 74, 86, 110, 2, 16, 75, 85, 110, 2,
2519  15, 76, 84, 110, 3, 15, 42, 46, 77, 83, 110, 2, 14, 41, 48, 109, 2, 14, 40, 49, 108, 2,
2520  14, 39, 50, 108, 2, 14, 38, 51, 107, 2, 14, 37, 52, 106, 2, 14, 36, 53, 105, 2, 14, 35,
2521  55, 105, 2, 14, 34, 56, 104, 2, 15, 33, 57, 103, 2, 15, 32, 58, 102, 2, 16, 31, 59, 101,
2522  2, 17, 30, 60, 100, 2, 18, 29, 61, 99, 2, 20, 27, 63, 98, 1, 64, 97, 1, 65, 95, 1,
2523  67, 94, 1, 69, 92, 1, 71, 90, 1, 73, 88, 1, 79, 84,
2524  };
2525 
2526  return Load(data, sizeof(data));
2527  }
2528 
2529  void LoadTTF(const std::string &filename)
2530  {
2531  std::ifstream fontFile(filename.c_str(), std::ios::binary | std::ios::ate);
2532  fontFile >> std::noskipws;
2533 
2534  std::streampos fileSize = fontFile.tellg();
2535  fontFile.seekg(0, std::ios::beg);
2536 
2537  fontBuffer.clear();
2538  fontBuffer.reserve(fileSize);
2539 
2540  std::copy(std::istream_iterator<unsigned char>(fontFile), std::istream_iterator<unsigned char>(),
2541  std::back_inserter(fontBuffer));
2542 
2543  /* prepare font */
2544  if (!stbtt_InitFont(&_info, fontBuffer.data(), 0)) {
2545  throw vpIoException(vpIoException::ioError, "Error when initializing the font data.");
2546  }
2547  }
2548 
2549  void ToUTF32(const std::string &str, std::vector<unsigned int> &utf32)
2550  {
2551  // convert UTF8 to UTF32
2552  utf32.clear();
2553  for (size_t i = 0; i < str.size(); i++) {
2554  unsigned char ch = (unsigned char)str[i];
2555  unsigned int charcode;
2556  if (ch <= 127) {
2557  charcode = ch;
2558  }
2559  else if (ch <= 223 && i + 1 < str.size() && (str[i + 1] & 0xc0) == 0x80) {
2560  charcode = ((ch & 31) << 6) | (str[i + 1] & 63);
2561  i++;
2562  }
2563  else if (ch <= 239 && i + 2 < str.size() && (str[i + 1] & 0xc0) == 0x80 && (str[i + 2] & 0xc0) == 0x80) {
2564  charcode = ((ch & 15) << 12) | ((str[i + 1] & 63) << 6) | (str[i + 2] & 63);
2565  i += 2;
2566  }
2567  else if (ch <= 247 && i + 3 < str.size() && (str[i + 1] & 0xc0) == 0x80 && (str[i + 2] & 0xc0) == 0x80 &&
2568  (str[i + 3] & 0xc0) == 0x80) {
2569  int val = (int)(((ch & 15) << 18) | ((str[i + 1] & 63) << 12) | ((str[i + 2] & 63) << 6) | (str[i + 3] & 63));
2570  if (val > 1114111) {
2571  val = 65533;
2572  }
2573  charcode = val;
2574  i += 3;
2575  }
2576  else {
2577  charcode = 65533;
2578  while (i + 1 < str.size() && (str[i + 1] & 0xc0) == 0x80) {
2579  i++;
2580  }
2581  }
2582  utf32.push_back(charcode);
2583  }
2584  }
2585 };
2586 #endif // DOXYGEN_SHOULD_SKIP_THIS
2587 
2599 vpFont::vpFont(unsigned int height, const vpFontFamily &fontFamily, const std::string &ttfFilename)
2600  : m_impl(new Impl(height, fontFamily, ttfFilename))
2601 { }
2602 
2606 vpFont::~vpFont() { delete m_impl; }
2607 
2618 bool vpFont::drawText(vpImage<unsigned char> &I, const std::string &text, const vpImagePoint &position,
2619  unsigned char color) const
2620 {
2621  return m_impl->Draw(I, text, position, color);
2622 }
2623 
2635 bool vpFont::drawText(vpImage<unsigned char> &I, const std::string &text, const vpImagePoint &position,
2636  unsigned char color, unsigned char background) const
2637 {
2638  return m_impl->Draw(I, text, position, color, background);
2639 }
2640 
2651 bool vpFont::drawText(vpImage<vpRGBa> &I, const std::string &text, const vpImagePoint &position,
2652  const vpColor &color) const
2653 {
2654  return m_impl->Draw(I, text, position, color);
2655 }
2656 
2668 bool vpFont::drawText(vpImage<vpRGBa> &I, const std::string &text, const vpImagePoint &position, const vpColor &color,
2669  const vpColor &background) const
2670 {
2671  return m_impl->Draw(I, text, position, color, background);
2672 }
2673 
2679 unsigned int vpFont::getHeight() const { return static_cast<unsigned int>(m_impl->Height()); }
2680 
2686 vpImagePoint vpFont::getMeasure(const std::string &text) const { return m_impl->Measure2(text); }
2687 
2695 bool vpFont::setHeight(unsigned int height) { return m_impl->Resize(height); }
2696 END_VISP_NAMESPACE
vpColor
Class to define RGB colors available for display functionalities.
Definition: vpColor.h:157
vpException
error that can be emitted by ViSP classes.
Definition: vpException.h:60
vpException::ioError
@ ioError
I/O error.
Definition: vpException.h:67
vpException::fatalError
@ fatalError
Fatal error.
Definition: vpException.h:72
vpFont::drawText
bool drawText(vpImage< unsigned char > &I, const std::string &text, const vpImagePoint &position, unsigned char color) const
Definition: vpFont.cpp:2618
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:2599
vpFont::getMeasure
vpImagePoint getMeasure(const std::string &text) const
Definition: vpFont.cpp:2686
vpFont::getHeight
unsigned int getHeight() const
Definition: vpFont.cpp:2679
vpFont::vpFontFamily
vpFontFamily
Definition: vpFont.h:57
vpFont::GENERIC_MONOSPACE
@ GENERIC_MONOSPACE
Definition: vpFont.h:57
vpFont::TRUETYPE_FILE
@ TRUETYPE_FILE
Definition: vpFont.h:57
vpFont::setHeight
bool setHeight(unsigned int height)
Definition: vpFont.cpp:2695
vpFont::~vpFont
~vpFont()
Definition: vpFont.cpp:2606
vpImagePoint
Class that defines a 2D point in an image. This class is useful for image processing and stores only ...
Definition: vpImagePoint.h:82
vpImagePoint::get_u
double get_u() const
Definition: vpImagePoint.h:136
vpImagePoint::get_v
double get_v() const
Definition: vpImagePoint.h:147
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:1066
vpImageTools::INTERPOLATION_LINEAR
@ INTERPOLATION_LINEAR
Definition: vpImageTools.h:81
vpImage::getWidth
unsigned int getWidth() const
Definition: vpImage.h:242
vpImage::resize
void resize(unsigned int h, unsigned int w)
resize the image : Image initialization
Definition: vpImage.h:538
vpImage::insert
void insert(const vpImage< Type > &src, const vpImagePoint &topLeft)
Definition: vpImage.h:633
vpImage::getHeight
unsigned int getHeight() const
Definition: vpImage.h:181
vpIoException
Error that can be emitted by the vpIoTools class and its derivatives.
Definition: vpIoException.h:55
vpIoTools::splitChain
static std::vector< std::string > splitChain(const std::string &chain, const std::string &sep)
Definition: vpIoTools.cpp:1661
vpIoTools::checkFilename
static bool checkFilename(const std::string &filename)
Definition: vpIoTools.cpp:786
vpMath::round
static int round(double x)
Definition: vpMath.h:409
vpRGBa
Definition: vpRGBa.h:65
vpRGBa::B
unsigned char B
Blue component.
Definition: vpRGBa.h:169
vpRGBa::R
unsigned char R
Red component.
Definition: vpRGBa.h:167
vpRGBa::G
unsigned char G
Green component.
Definition: vpRGBa.h:168
vpRect
Defines a rectangle in the plane.
Definition: vpRect.h:79
BEGIN_VISP_NAMESPACE
Definition: vpCircleHoughTransform_centers.cpp:39