Difference between revisions of "The parallelizing Express"

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NOTE : The profiles for this project were quite large so only the most used functions are listed here. The entire profile file can be find through the links provided above the respective flat profile.
 
NOTE : The profiles for this project were quite large so only the most used functions are listed here. The entire profile file can be find through the links provided above the respective flat profile.
  
 +
Link to full profile : [http://pastebin.com/ah48EGab FULL]
 +
 +
Flat Profile :
 +
  %  cumulative  self              self    total         
 +
time  seconds  seconds    calls  s/call  s/call  name   
 +
65.87      0.81    0.81    59789    0.00    0.00  create_copy_board(Board*)
 +
21.14      1.07    0.26    59777    0.00    0.00  choose_cell_bf(Board*, int&, int&)
 +
  6.51      1.15    0.08    59790    0.00    0.00  Board::Board(int)
 +
  6.51      1.23    0.08    59777    0.00    0.00  Board::~Board()
 +
  0.00      1.23    0.00  179709    0.00    0.00  clear_number(Board*, int, Align, int)
 +
  0.00      1.23    0.00  179370    0.00    0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 +
  0.00      1.23    0.00    59903    0.00    0.00  update_solution(Board*, int, int, int)
 +
  0.00      1.23    0.00    59790    0.00    0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 +
  0.00      1.23    0.00    59790    0.00    0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 +
  0.00      1.23    0.00    59790    0.00    0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 +
  0.00      1.23    0.00    59790    0.00    0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 +
  0.00      1.23    0.00    59790    0.00    0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 +
  0.00      1.23    0.00    59790    0.00    0.00  operator new(unsigned long, void*)
 +
  0.00      1.23    0.00    59784    0.00    0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 +
  0.00      1.23    0.00    59780    0.00    0.00  std::deque<Board*, std::allocator<Board*> >::end()
 +
  0.00      1.23    0.00    59778    0.00    0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 +
  0.00      1.23    0.00    59778    0.00    0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::deque<Board*, std::allocator<Board*> >::back()
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 +
  0.00      1.23    0.00    59778    0.00    0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 +
  0.00      1.23    0.00    59778    0.00    0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 +
  0.00      1.23    0.00    59777    0.00    0.00  update_stack(Board*)
 +
  0.00      1.23    0.00      24    0.00    0.00  std::__deque_buf_size(unsigned long)
 +
 +
==== 16x16 easy 2 ====
 +
 +
    Before :                                                  After :
 +
    00 00 00 00 | 13 00 12 00 | 03 00 05 00 | 00 08 01 10    09 16 06 02 | 13 04 12 07 | 03 11 05 15 | 14 08 01 10
 +
    01 00 15 04 | 09 00 16 14 | 13 12 00 00 | 06 00 00 03    01 07 15 04 | 09 05 16 14 | 13 12 10 08 | 06 11 02 03 
 +
    00 13 00 05 | 00 00 00 10 | 00 09 00 02 | 07 12 00 00    11 13 03 05 | 01 08 06 10 | 14 09 04 02 | 07 12 15 16 
 +
    08 00 00 00 | 00 15 02 00 | 00 01 06 00 | 00 00 04 00    08 14 10 12 | 03 15 02 11 | 07 01 06 16 | 05 13 04 09 
 +
    -----------------------------------------------------    -----------------------------------------------------
 +
    00 04 00 00 | 00 00 00 00 | 00 00 00 05 | 02 00 00 14    16 04 07 09 | 06 10 15 12 | 11 08 01 05 | 02 03 13 14 
 +
    00 00 01 06 | 00 00 00 00 | 15 13 00 14 | 00 00 16 12    03 08 01 06 | 11 02 04 09 | 15 13 07 14 | 10 05 16 12 
 +
    00 12 00 00 | 00 00 00 08 | 00 03 00 04 | 01 00 07 00    10 12 11 13 | 16 14 05 08 | 02 03 09 04 | 01 06 07 15 
 +
    00 00 00 15 | 00 03 01 00 | 16 00 00 10 | 00 04 08 11    05 02 14 15 | 07 03 01 13 | 16 06 12 10 | 09 04 08 11 
 +
    -----------------------------------------------------    -----------------------------------------------------
 +
    00 00 00 00 | 00 00 08 16 | 00 04 00 01 | 00 14 00 00    12 03 02 10 | 15 07 08 16 | 09 04 13 01 | 11 14 05 06 
 +
    00 15 00 00 | 00 06 09 00 | 10 05 11 00 | 00 16 12 01    04 15 08 07 | 14 06 09 02 | 10 05 11 03 | 13 16 12 01 
 +
    00 11 09 00 | 00 00 00 00 | 08 00 00 00 | 00 02 03 07    06 11 09 16 | 10 01 13 05 | 08 15 14 12 | 04 02 03 07 
 +
    13 00 00 00 | 00 12 11 00 | 06 02 16 07 | 00 00 00 00    13 01 05 14 | 04 12 11 03 | 06 02 16 07 | 15 09 10 08 
 +
    -----------------------------------------------------    -----------------------------------------------------
 +
    00 10 12 00 | 00 13 03 00 | 04 00 15 00 | 16 00 00 05    14 10 12 08 | 02 13 03 06 | 04 07 15 09 | 16 01 11 05 
 +
    02 00 04 00 | 00 00 07 01 | 00 00 00 06 | 00 00 14 13    02 09 04 11 | 05 16 07 01 | 12 10 03 06 | 08 15 14 13 
 +
    00 00 00 03 | 08 09 00 00 | 01 16 02 11 | 12 10 00 00    07 05 13 03 | 08 09 14 15 | 01 16 02 11 | 12 10 06 04 
 +
    00 00 16 01 | 12 11 00 00 | 05 14 00 00 | 03 07 09 00    15 06 16 01 | 12 11 10 04 | 05 14 08 13 | 03 07 09 02 
 +
 
Link to full profile : [http://pastebin.com/ah48EGab FULL]
 
Link to full profile : [http://pastebin.com/ah48EGab FULL]
  

Revision as of 23:34, 7 February 2017

The parallelizing Express

Repository

Team Members

  1. Abbas Zoeb
  2. Jadrian Sunga
  3. Marko Radmanovic
Email All

Progress

Assignment 1

SudokuMP

SudokuMP solves sudoku puzzles given a txt file arranging the puzzle and the size of the puzzle. There are two methods to solve said puzzles the brute force method and the humanistic solver. Profiling wasn't performed on the humanistic solver since it manages to solve all the 16x16 puzzles extremely quickly the worst of them still being under 12ms. The project can be found here: SudokuMP

16x16 easy 1

   Before :                                                  After :
   00 00 00 00 | 00 00 00 08 | 00 00 07 00 | 00 05 04 00     11 01 09 10 | 06 13 03 08 | 02 14 07 12 | 16 05 04 15  
   00 00 04 00 | 00 02 16 00 | 01 05 00 11 | 09 12 00 00     06 15 04 13 | 10 02 16 14 | 01 05 03 11 | 09 12 08 07  
   00 08 00 07 | 05 00 15 11 | 09 04 16 00 | 02 00 00 00     14 08 03 07 | 05 12 15 11 | 09 04 16 06 | 02 10 13 01  
   05 00 12 16 | 01 09 00 00 | 00 13 00 00 | 00 00 00 06     05 02 12 16 | 01 09 07 04 | 08 13 10 15 | 03 11 14 06
   -----------------------------------------------------     -----------------------------------------------------
   15 00 10 00 | 00 00 02 00 | 00 00 05 00 | 00 00 16 03     15 11 10 09 | 08 07 02 12 | 13 01 05 04 | 14 06 16 03  
   00 07 00 00 | 00 00 00 10 | 06 15 08 00 | 00 09 02 00     12 07 14 03 | 13 05 04 10 | 06 15 08 16 | 01 09 02 11  
   01 00 13 00 | 14 00 00 00 | 10 07 00 09 | 00 08 00 05     01 16 13 04 | 14 06 11 03 | 10 07 02 09 | 12 08 15 05  
   08 06 00 00 | 00 00 01 00 | 14 00 00 03 | 13 04 00 10     08 06 02 05 | 09 15 01 16 | 14 12 11 03 | 13 04 07 10  
   -----------------------------------------------------     -----------------------------------------------------
   13 00 16 06 | 15 00 00 09 | 00 11 00 00 | 00 00 01 02     13 14 16 06 | 15 10 05 09 | 04 11 12 08 | 07 03 01 02  
   03 00 08 00 | 12 00 06 01 | 00 00 00 07 | 00 16 00 13     03 10 08 11 | 12 04 06 01 | 15 02 14 07 | 05 16 09 13  
   00 05 01 00 | 00 14 08 07 | 16 00 00 00 | 00 00 12 00     09 05 01 02 | 03 14 08 07 | 16 06 13 10 | 11 15 12 04  
   07 04 00 00 | 00 11 00 00 | 00 09 00 00 | 00 14 00 08     07 04 15 12 | 16 11 13 02 | 03 09 01 05 | 10 14 06 08  
   -----------------------------------------------------     -----------------------------------------------------
   16 00 00 00 | 00 00 12 00 | 00 00 06 01 | 15 02 00 09     16 13 07 14 | 04 03 12 05 | 11 08 06 01 | 15 02 10 09  
   00 00 00 01 | 00 08 10 06 | 12 16 00 13 | 04 00 03 00     02 09 05 01 | 11 08 10 06 | 12 16 15 13 | 04 07 03 14  
   00 00 11 08 | 02 00 09 15 | 00 03 04 00 | 00 13 00 00     10 12 11 08 | 02 01 09 15 | 07 03 04 14 | 06 13 05 16  
   00 03 06 00 | 00 16 00 00 | 05 00 00 00 | 00 00 00 00     04 03 06 15 | 07 16 14 13 | 05 10 09 02 | 08 01 11 12


NOTE : The profiles for this project were quite large so only the most used functions are listed here. The entire profile file can be find through the links provided above the respective flat profile.

Link to full profile : FULL

Flat Profile : 

 %   cumulative   self              self     total           
time   seconds   seconds    calls   s/call   s/call  name    
65.87      0.81     0.81    59789     0.00     0.00  create_copy_board(Board*)
21.14      1.07     0.26    59777     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 6.51      1.15     0.08    59790     0.00     0.00  Board::Board(int)
 6.51      1.23     0.08    59777     0.00     0.00  Board::~Board()
 0.00      1.23     0.00   179709     0.00     0.00  clear_number(Board*, int, Align, int)
 0.00      1.23     0.00   179370     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      1.23     0.00    59903     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      1.23     0.00    59790     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      1.23     0.00    59790     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  operator new(unsigned long, void*)
 0.00      1.23     0.00    59784     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59780     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      1.23     0.00    59778     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      1.23     0.00    59778     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      1.23     0.00    59778     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59777     0.00     0.00  update_stack(Board*)
 0.00      1.23     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)

16x16 easy 2

   Before :                                                  After :
   00 00 00 00 | 13 00 12 00 | 03 00 05 00 | 00 08 01 10     09 16 06 02 | 13 04 12 07 | 03 11 05 15 | 14 08 01 10
   01 00 15 04 | 09 00 16 14 | 13 12 00 00 | 06 00 00 03     01 07 15 04 | 09 05 16 14 | 13 12 10 08 | 06 11 02 03  
   00 13 00 05 | 00 00 00 10 | 00 09 00 02 | 07 12 00 00     11 13 03 05 | 01 08 06 10 | 14 09 04 02 | 07 12 15 16  
   08 00 00 00 | 00 15 02 00 | 00 01 06 00 | 00 00 04 00     08 14 10 12 | 03 15 02 11 | 07 01 06 16 | 05 13 04 09  
   -----------------------------------------------------     -----------------------------------------------------
   00 04 00 00 | 00 00 00 00 | 00 00 00 05 | 02 00 00 14     16 04 07 09 | 06 10 15 12 | 11 08 01 05 | 02 03 13 14  
   00 00 01 06 | 00 00 00 00 | 15 13 00 14 | 00 00 16 12     03 08 01 06 | 11 02 04 09 | 15 13 07 14 | 10 05 16 12  
   00 12 00 00 | 00 00 00 08 | 00 03 00 04 | 01 00 07 00     10 12 11 13 | 16 14 05 08 | 02 03 09 04 | 01 06 07 15  
   00 00 00 15 | 00 03 01 00 | 16 00 00 10 | 00 04 08 11     05 02 14 15 | 07 03 01 13 | 16 06 12 10 | 09 04 08 11  
   -----------------------------------------------------    -----------------------------------------------------
   00 00 00 00 | 00 00 08 16 | 00 04 00 01 | 00 14 00 00     12 03 02 10 | 15 07 08 16 | 09 04 13 01 | 11 14 05 06  
   00 15 00 00 | 00 06 09 00 | 10 05 11 00 | 00 16 12 01     04 15 08 07 | 14 06 09 02 | 10 05 11 03 | 13 16 12 01  
   00 11 09 00 | 00 00 00 00 | 08 00 00 00 | 00 02 03 07     06 11 09 16 | 10 01 13 05 | 08 15 14 12 | 04 02 03 07  
   13 00 00 00 | 00 12 11 00 | 06 02 16 07 | 00 00 00 00     13 01 05 14 | 04 12 11 03 | 06 02 16 07 | 15 09 10 08  
   -----------------------------------------------------     -----------------------------------------------------
   00 10 12 00 | 00 13 03 00 | 04 00 15 00 | 16 00 00 05     14 10 12 08 | 02 13 03 06 | 04 07 15 09 | 16 01 11 05  
   02 00 04 00 | 00 00 07 01 | 00 00 00 06 | 00 00 14 13     02 09 04 11 | 05 16 07 01 | 12 10 03 06 | 08 15 14 13  
   00 00 00 03 | 08 09 00 00 | 01 16 02 11 | 12 10 00 00     07 05 13 03 | 08 09 14 15 | 01 16 02 11 | 12 10 06 04  
   00 00 16 01 | 12 11 00 00 | 05 14 00 00 | 03 07 09 00     15 06 16 01 | 12 11 10 04 | 05 14 08 13 | 03 07 09 02

Link to full profile : FULL

Flat Profile : 

 %   cumulative   self              self     total           
time   seconds   seconds    calls   s/call   s/call  name    
65.87      0.81     0.81    59789     0.00     0.00  create_copy_board(Board*)
21.14      1.07     0.26    59777     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 6.51      1.15     0.08    59790     0.00     0.00  Board::Board(int)
 6.51      1.23     0.08    59777     0.00     0.00  Board::~Board()
 0.00      1.23     0.00   179709     0.00     0.00  clear_number(Board*, int, Align, int)
 0.00      1.23     0.00   179370     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      1.23     0.00    59903     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      1.23     0.00    59790     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      1.23     0.00    59790     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  operator new(unsigned long, void*)
 0.00      1.23     0.00    59784     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59780     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      1.23     0.00    59778     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      1.23     0.00    59778     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      1.23     0.00    59778     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59777     0.00     0.00  update_stack(Board*)
 0.00      1.23     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)
Retrieved from "https://wiki.cdot.senecapolytechnic.ca/w/index.php?title=The_parallelizing_Express&oldid=123290"