ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื–ื” ืžืืžืจ ืชืจื’ื•ื ืกืžื™ื ืจ ืกื˜ื ืคื•ืจื“. ืื‘ืœ ืœืคื ื™ ื›ืŸ ื™ืฉ ื”ืงื“ืžื” ืงืฆืจื”. ืื™ืš ื ื•ืฆืจื™ื ื–ื•ืžื‘ื™ื? ื›ืœ ืื—ื“ ืžืฆื ืืช ืขืฆืžื• ื‘ืžืฆื‘ ืฉื”ื•ื ืจื•ืฆื” ืœื”ืขืœื•ืช ื—ื‘ืจ ืื• ืงื•ืœื’ื” ืœืจืžื” ืฉืœื•, ืื‘ืœ ื–ื” ืœื ืžืฆืœื™ื—. ื™ืชืจื” ืžื›ืš, "ื–ื” ืœื ืžืกืชื“ืจ" ืœื ื›ืœ ื›ืš ื‘ืฉื‘ื™ืœืš, ืืœื ื‘ืฉื‘ื™ืœื•: ื‘ืฆื“ ืื—ื“ ืฉืœ ื”ืกืงืืœื” ื™ืฉ ืฉื›ืจ ืจื’ื™ืœ, ืžืฉื™ืžื•ืช ื•ื›ื•', ื•ืžืฆื“ ืฉื ื™ ื™ืฉ ืฆื•ืจืš ืœื—ืฉื•ื‘. ื—ืฉื™ื‘ื” ื”ื™ื ืœื ื ืขื™ืžื” ื•ื›ื•ืื‘ืช. ื”ื•ื ืžื•ื•ืชืจ ืžื”ืจ ื•ืžืžืฉื™ืš ืœื›ืชื•ื‘ ืงื•ื“ ืžื‘ืœื™ ืœื”ืฉืชืžืฉ ื‘ืžื•ื— ืฉืœื• ื‘ื›ืœืœ. ืืชื” ืžื‘ื™ืŸ ื›ืžื” ืžืืžืฅ ื ื“ืจืฉ ื›ื“ื™ ืœื”ืชื’ื‘ืจ ืขืœ ื”ืžื—ืกื•ื ืฉืœ ื—ื•ืกืจ ืื•ื ื™ื ื ืœืžื“, ื•ืืชื” ืคืฉื•ื˜ ืœื ืขื•ืฉื” ืืช ื–ื”. ื›ืš ื ื•ืฆืจื™ื ื–ื•ืžื‘ื™ื, ืฉื ืจืื” ืฉืืคืฉืจ ืœืจืคื, ืื‘ืœ ื ืจืื” ืฉืืฃ ืื—ื“ ืœื ื™ืขืฉื” ื–ืืช.

ื›ืฉืจืื™ืชื™ ืืช ื–ื” ืœืกืœื™ ืœืžืคื•ืจื˜ (ื›ืŸ, ืื•ืชื• ื—ื‘ืจ ืžืกืคืจื™ ื”ืœื™ืžื•ื“) ืžื’ื™ืข ืœืจื•ืกื™ื” ื•ืœื ื ื•ืชืŸ ื“ื•"ื—, ืืœื ืคื’ื™ืฉืช ืฉืืœื•ืช ื•ืชืฉื•ื‘ื•ืช, ืงืฆืช ื ื–ื”ืจืชื™. ืœื™ืชืจ ื‘ื˜ื—ื•ืŸ, ืœืกืœื™ ื”ื•ื ืžื“ืขืŸ ื‘ืขืœ ืฉื ืขื•ืœืžื™, ื”ืžื—ื‘ืจ ืฉืœ ื™ืฆื™ืจื•ืช ืžื›ื•ื ื ื•ืช ื‘ืชื—ื•ื ื”ืžื—ืฉื•ื‘ ื”ืžื‘ื•ื–ืจ, ื•ืื•ืœื™ ืืชื” ื’ื ืžื›ื™ืจ ืื•ืชื• ื‘ืื•ืชื™ื•ืช La ื‘-LaTeX - "Lamport TeX". ื”ื’ื•ืจื ื”ืžื“ืื™ื’ ื”ืฉื ื™ ื”ื•ื ื”ื“ืจื™ืฉื” ืฉืœื•: ื›ืœ ืžื™ ืฉืžื’ื™ืข ื—ื™ื™ื‘ (ืœื’ืžืจื™ ืœืœื ืชืฉืœื•ื) ืœื”ืื–ื™ืŸ ืœื›ืžื” ื“ื™ื•ื•ื—ื™ื ืฉืœื• ืžืจืืฉ, ืœื”ืขืœื•ืช ืขืœื™ื”ื ืœืคื—ื•ืช ืฉืืœื” ืื—ืช, ื•ืจืง ืื– ืœื”ื’ื™ืข. ื”ื—ืœื˜ืชื™ ืœืจืื•ืช ืžื” ืœืžืคื•ืจื˜ ืžืฉื“ืจืช ืฉื - ื•ื–ื” ื ื”ื“ืจ! ื–ื” ื‘ื“ื™ื•ืง ื”ื“ื‘ืจ ื”ื–ื”, ื’ืœื•ืœืช ืงื™ืฉื•ืจ ืงืกื•ืžื” ืœื˜ื™ืคื•ืœ ื‘ื–ื•ืžื‘ื™ื. ืื ื™ ืžื–ื”ื™ืจ ืื•ืชืš: ื”ื˜ืงืกื˜ ืขืœื•ืœ ืœืฉืจื•ืฃ ื‘ืจืฆื™ื ื•ืช ืืช ืืœื” ืฉืื•ื”ื‘ื™ื ืžืชื•ื“ื•ืœื•ื’ื™ื•ืช ืกื•ืคืจ-ื–ืจื™ื–ื•ืช ื•ืฉืœื ืื•ื”ื‘ื™ื ืœื‘ื“ื•ืง ืืช ืžื” ืฉื›ืชื‘ื•.

ืœืื—ืจ ื”ื”ื‘ืจืงื•ืช ืžืชื—ื™ืœ ืœืžืขืฉื” ืชืจื’ื•ื ื”ืกืžื™ื ืจ. ืงืจื™ืื” ืžื”ื ื”!

ื›ืœ ืžืฉื™ืžื” ืฉืชื™ืงื— ืขืœ ืขืฆืžืš, ืืชื” ืชืžื™ื“ ืฆืจื™ืš ืœืขื‘ื•ืจ ืฉืœื•ืฉื” ืฉืœื‘ื™ื:

  • ืœื”ื—ืœื™ื˜ ืžื” ื”ืžื˜ืจื” ืฉืืชื” ืจื•ืฆื” ืœื”ืฉื™ื’;
  • ืœื”ื—ืœื™ื˜ ืื™ืš ื‘ื“ื™ื•ืง ืชืฉื™ื’ ืืช ื”ืžื˜ืจื” ืฉืœืš;
  • ืชืฉื™ื’ ืืช ื”ืžื˜ืจื” ืฉืœืš.

ื–ื” ื—ืœ ื’ื ืขืœ ืชื›ื ื•ืช. ื›ืฉืื ื—ื ื• ื›ื•ืชื‘ื™ื ืงื•ื“, ืื ื—ื ื• ืฆืจื™ื›ื™ื:

  • ืœื”ื—ืœื™ื˜ ืžื” ื‘ื“ื™ื•ืง ื”ืชื•ื›ื ื™ืช ืฆืจื™ื›ื” ืœืขืฉื•ืช;
  • ืœืงื‘ื•ืข ื‘ื“ื™ื•ืง ื›ื™ืฆื“ ืขืœื™ื• ืœื‘ืฆืข ืืช ืžืฉื™ืžืชื•;
  • ืœื›ืชื•ื‘ ืืช ื”ืงื•ื“ ื”ืžืชืื™ื.

ื”ืฉืœื‘ ื”ืื—ืจื•ืŸ, ื›ืžื•ื‘ืŸ, ื—ืฉื•ื‘ ืžืื•ื“, ืื‘ืœ ืื ื™ ืœื ืื“ื‘ืจ ืขืœื™ื• ื”ื™ื•ื. ื‘ืžืงื•ื ื–ืืช, ื ื“ื•ืŸ ื‘ืฉื ื™ื™ื ื”ืจืืฉื•ื ื™ื. ื›ืœ ืžืชื›ื ืช ืžื‘ืฆืข ืื•ืชื ืœืคื ื™ ืฉืžืชื—ื™ืœ ืœืขื‘ื•ื“. ืืชื” ืœื ื™ื•ืฉื‘ ืœื›ืชื•ื‘ ืืœื ืื ื›ืŸ ื”ื—ืœื˜ืช ืžื” ืืชื” ื›ื•ืชื‘: ื“ืคื“ืคืŸ ืื• ืžืกื“ ื ืชื•ื ื™ื. ืจืขื™ื•ืŸ ืžืกื•ื™ื ืฉืœ ื”ืžื˜ืจื” ื—ื™ื™ื‘ ืœื”ื™ื•ืช ื ื•ื›ื—. ื•ืืชื” ื‘ื”ื—ืœื˜ ื—ื•ืฉื‘ ืขืœ ืžื” ื‘ื“ื™ื•ืง ื”ืชื•ื›ื ื™ืช ืชืขืฉื”, ื•ืืœ ืชื›ืชื•ื‘ ืืช ื–ื” ื‘ืืงืจืื™ ื‘ืชืงื•ื•ื” ืฉื”ืงื•ื“ ืขืฆืžื• ื™ื”ืคื•ืš ืื™ื›ืฉื”ื• ืœื“ืคื“ืคืŸ.

ืื™ืš ื‘ื“ื™ื•ืง ืžืชืจื—ืฉืช ื”ื—ืฉื™ื‘ื” ื”ืžื•ืงื“ืžืช ื”ื–ื• ืฉืœ ืงื•ื“? ื›ืžื” ืžืืžืฅ ืขืœื™ื ื• ืœื”ืฉืงื™ืข ื‘ื–ื”? ื”ื›ืœ ืชืœื•ื™ ืขื“ ื›ืžื” ืžื•ืจื›ื‘ืช ื”ื‘ืขื™ื” ืฉืื ื• ืคื•ืชืจื™ื. ื ื ื™ื— ืฉืื ื• ืจื•ืฆื™ื ืœื›ืชื•ื‘ ืžืขืจื›ืช ืžื‘ื•ื–ืจืช ืขืžื™ื“ื” ื‘ืคื ื™ ืชืงืœื•ืช. ื‘ืžืงืจื” ื–ื”, ืขืœื™ื ื• ืœื—ืฉื•ื‘ ื”ื™ื˜ื‘ ืขืœ ื”ื“ื‘ืจื™ื ืœืคื ื™ ืฉื ืฉื‘ ืœืงื•ื“. ืžื” ืื ืื ื—ื ื• ืจืง ืฆืจื™ื›ื™ื ืœื”ื’ื“ื™ืœ ืžืฉืชื ื” ืžืกืคืจ ืฉืœื ื‘-1? ื‘ืžื‘ื˜ ืจืืฉื•ืŸ ื”ื›ืœ ื›ืืŸ ื˜ืจื™ื•ื•ื™ืืœื™ ื•ืื™ืŸ ืฆื•ืจืš ื‘ืžื—ืฉื‘ื”, ืื‘ืœ ืื– ื ื–ื›ื•ืจ ืฉื™ื›ื•ืœื” ืœื”ื™ื•ื•ืฆืจ ื”ืฆืคื”. ืœื›ืŸ, ื’ื ื›ื“ื™ ืœื”ื‘ื™ืŸ ื”ืื ื‘ืขื™ื” ืคืฉื•ื˜ื” ืื• ืžื•ืจื›ื‘ืช, ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื—ืฉื•ื‘.

ืื ืชื—ืฉื•ื‘ ืขืœ ืคืชืจื•ื ื•ืช ืืคืฉืจื™ื™ื ืœื‘ืขื™ื” ืžืจืืฉ, ืชื•ื›ืœ ืœื”ื™ืžื ืข ืžื˜ืขื•ื™ื•ืช. ืื‘ืœ ื–ื” ืžื—ื™ื™ื‘ ืืช ื”ื—ืฉื™ื‘ื” ืฉืœืš ืœื”ื™ื•ืช ื‘ืจื•ืจื”. ื›ื“ื™ ืœื”ืฉื™ื’ ื–ืืช, ืขืœื™ืš ืœืจืฉื•ื ืืช ื”ืžื—ืฉื‘ื•ืช ืฉืœืš. ืื ื™ ืื•ื”ื‘ ืืช ื”ืฆื™ื˜ื•ื˜ ืฉืœ ื“ื™ืง ื’ื™ื ื“ื•ืŸ: "ื›ืฉืืชื” ื›ื•ืชื‘, ื”ื˜ื‘ืข ืžืจืื” ืœืš ืขื“ ื›ืžื” ื”ื—ืฉื™ื‘ื” ืฉืœืš ืžืจื•ืฉืœืช." ืื ืืชื” ืœื ื›ื•ืชื‘, ืืชื” ืจืง ื—ื•ืฉื‘ ืฉืืชื” ื—ื•ืฉื‘. ื•ืืชื” ืฆืจื™ืš ืœืจืฉื•ื ืืช ื”ืžื—ืฉื‘ื•ืช ืฉืœืš ื‘ืฆื•ืจื” ืฉืœ ืžืคืจื˜ื™ื.

ืžืคืจื˜ื™ื ืžืžืœืื™ื ืคื•ื ืงืฆื™ื•ืช ืจื‘ื•ืช, ื‘ืžื™ื•ื—ื“ ื‘ืคืจื•ื™ืงื˜ื™ื ื’ื“ื•ืœื™ื. ืื‘ืœ ืื ื™ ืื“ื‘ืจ ืจืง ืขืœ ืื—ื“ ืžื”ื: ื”ื ืขื•ื–ืจื™ื ืœื ื• ืœื—ืฉื•ื‘ ื‘ื‘ื”ื™ืจื•ืช. ื—ืฉื™ื‘ื” ื‘ืจื•ืจื” ื”ื™ื ื—ืฉื•ื‘ื” ืžืื•ื“ ื•ื“ื™ ืงืฉื”, ืื– ืื ื—ื ื• ืฆืจื™ื›ื™ื ื›ืœ ืขื–ืจื” ื›ืืŸ. ื‘ืื™ื–ื• ืฉืคื” ืขืœื™ื ื• ืœื›ืชื•ื‘ ืžืคืจื˜? ื‘ืื•ืคืŸ ื›ืœืœื™, ื–ื• ืชืžื™ื“ ื”ืฉืืœื” ื”ืจืืฉื•ื ื” ืœืžืชื›ื ืชื™ื: ื‘ืื™ื–ื• ืฉืคื” ื ื›ืชื•ื‘? ืื™ืŸ ืชืฉื•ื‘ื” ืื—ืช ื ื›ื•ื ื”: ื”ื‘ืขื™ื•ืช ืฉืื ื• ืคื•ืชืจื™ื ืžื’ื•ื•ื ื•ืช ืžื“ื™. ืขื‘ื•ืจ ืื ืฉื™ื ืžืกื•ื™ืžื™ื, TLA+ ืฉื™ืžื•ืฉื™ - ื–ื• ืฉืคืช ืžืคืจื˜ ืฉืคื™ืชื—ืชื™. ืœืื—ืจื™ื ื ื•ื— ื™ื•ืชืจ ืœื”ืฉืชืžืฉ ื‘ืกื™ื ื™ืช. ื”ื›ืœ ืชืœื•ื™ ื‘ืžืฆื‘.

ื”ืฉืืœื” ื”ื—ืฉื•ื‘ื” ื™ื•ืชืจ ื”ื™ื: ื›ื™ืฆื“ ื ื•ื›ืœ ืœื”ืฉื™ื’ ื—ืฉื™ื‘ื” ื‘ื”ื™ืจื” ื™ื•ืชืจ? ืชืฉื•ื‘ื”: ืขืœื™ื ื• ืœื—ืฉื•ื‘ ื›ืžื• ืžื“ืขื ื™ื. ื–ื•ื”ื™ ื“ืจืš ื—ืฉื™ื‘ื” ืฉืขื‘ื“ื” ื”ื™ื˜ื‘ ื‘-500 ื”ืฉื ื™ื ื”ืื—ืจื•ื ื•ืช. ื‘ืžื“ืข ืื ื• ื‘ื•ื ื™ื ืžื•ื“ืœื™ื ืžืชืžื˜ื™ื™ื ืฉืœ ื”ืžืฆื™ืื•ืช. ืืกื˜ืจื•ื ื•ืžื™ื” ื”ื™ื™ืชื” ืื•ืœื™ ื”ืžื“ืข ื”ืจืืฉื•ืŸ ื‘ืžื•ื‘ืŸ ื”ืžื•ื—ืœื˜ ืฉืœ ื”ืžื™ืœื”. ื‘ืžื•ื“ืœ ื”ืžืชืžื˜ื™ ื”ืžืฉืžืฉ ื‘ืืกื˜ืจื•ื ื•ืžื™ื”, ื’ืจืžื™ ื”ืฉืžื™ื™ื ืžื•ืคื™ืขื™ื ื›ื ืงื•ื“ื•ืช ื‘ืขืœื•ืช ืžืกื”, ืžื™ืงื•ื ื•ืชื ืข, ืœืžืจื•ืช ืฉื‘ืžืฆื™ืื•ืช ื”ื ืขืฆืžื™ื ืžื•ืจื›ื‘ื™ื ื‘ื™ื•ืชืจ ืขื ื”ืจื™ื ื•ืื•ืงื™ื™ื ื•ืกื™ื, ื’ืื•ืช ื•ืฉืคืœ. ืžื•ื“ืœ ื–ื”, ื›ืžื• ื›ืœ ืžื•ื“ืœ ืื—ืจ, ื ื•ืฆืจ ื›ื“ื™ ืœืคืชื•ืจ ื‘ืขื™ื•ืช ืžืกื•ื™ืžื•ืช. ื–ื” ื ื”ื“ืจ ื›ื“ื™ ืœืงื‘ื•ืข ืœืืŸ ืœื›ื•ื•ืŸ ื˜ืœืกืงื•ืค ืื ืืชื” ืจื•ืฆื” ืœืžืฆื•ื ื›ื•ื›ื‘ ืœื›ืช. ืื‘ืœ ืื ืืชื” ืจื•ืฆื” ืœื—ื–ื•ืช ืืช ืžื–ื’ ื”ืื•ื•ื™ืจ ืขืœ ื”ืคืœื ื˜ื” ื”ื–ื•, ื”ืžื•ื“ืœ ื”ื–ื” ืœื ื™ืขื‘ื•ื“.

ืžืชืžื˜ื™ืงื” ืžืืคืฉืจืช ืœื ื• ืœืงื‘ื•ืข ืืช ื”ืชื›ื•ื ื•ืช ืฉืœ ืžื•ื“ืœ. ื•ื”ืžื“ืข ืžืจืื” ื›ื™ืฆื“ ื”ืชื›ื•ื ื•ืช ื”ืœืœื• ืงืฉื•ืจื•ืช ืœืžืฆื™ืื•ืช. ื‘ื•ืื• ื ื“ื‘ืจ ืขืœ ื”ืžื“ืข ืฉืœื ื•, ืžื“ืขื™ ื”ืžื—ืฉื‘. ื”ืžืฆื™ืื•ืช ืื™ืชื” ืื ื—ื ื• ืขื•ื‘ื“ื™ื ื”ื™ื ืžืขืจื›ื•ืช ืžื—ืฉื•ื‘ ืžืกื•ื’ื™ื ืจื‘ื™ื ื•ืฉื•ื ื™ื: ืžืขื‘ื“ื™ื, ืงื•ื ืกื•ืœื•ืช ืžืฉื—ืงื™ื, ืžื—ืฉื‘ื™ื ืฉืžืจื™ืฆื™ื ืชื•ื›ื ื™ื•ืช ื•ื›ื•'. ืื ื™ ืื“ื‘ืจ ืขืœ ื”ืคืขืœืช ืชื•ื›ื ื™ืช ื‘ืžื—ืฉื‘, ืื‘ืœ, ื‘ื’ื“ื•ืœ, ื›ืœ ื”ืžืกืงื ื•ืช ื”ืœืœื• ื—ืœื•ืช ืขืœ ื›ืœ ืžืขืจื›ืช ืžื—ืฉื•ื‘. ื‘ืžื“ืข ืฉืœื ื• ืื ื• ืžืฉืชืžืฉื™ื ื‘ื“ื’ืžื™ื ืจื‘ื™ื ื•ืฉื•ื ื™ื: ืžื›ื•ื ืช ื˜ื™ื•ืจื™ื ื’, ืกื˜ื™ื ืžืกื•ื“ืจื™ื ื—ืœืงื™ืช ืฉืœ ืื™ืจื•ืขื™ื ื•ืจื‘ื™ื ืื—ืจื™ื.

ืžื”ื™ ื”ืชื•ื›ื ื™ืช? ื–ื”ื• ื›ืœ ืงื•ื“ ืฉื ื™ืชืŸ ืœืฉืงื•ืœ ื‘ืคื ื™ ืขืฆืžื•. ื ื ื™ื— ืฉืื ื—ื ื• ืฆืจื™ื›ื™ื ืœื›ืชื•ื‘ ื“ืคื“ืคืŸ. ืื ื• ืžื‘ืฆืขื™ื ืฉืœื•ืฉ ืžืฉื™ืžื•ืช: ืžืขืฆื‘ื™ื ืืช ื”ืฆื’ืช ื”ืชื•ื›ื ื” ืฉืœ ื”ืžืฉืชืžืฉ, ืœืื—ืจ ืžื›ืŸ ื›ื•ืชื‘ื™ื ืืช ื”ืชืจืฉื™ื ื‘ืจืžื” ื”ื’ื‘ื•ื”ื” ืฉืœ ื”ืชื•ื›ื ื™ืช, ื•ืœื‘ืกื•ืฃ ื›ื•ืชื‘ื™ื ืืช ื”ืงื•ื“. ื‘ื–ืžืŸ ืฉืื ื—ื ื• ื›ื•ืชื‘ื™ื ืืช ื”ืงื•ื“, ืื ื—ื ื• ืžื‘ื™ื ื™ื ืฉืื ื—ื ื• ืฆืจื™ื›ื™ื ืœื›ืชื•ื‘ ืคื•ืจืžื˜ ื˜ืงืกื˜. ื›ืืŸ ืฉื•ื‘ ืขืœื™ื ื• ืœืคืชื•ืจ ืฉืœื•ืฉ ื‘ืขื™ื•ืช: ืœืงื‘ื•ืข ืื™ื–ื” ื˜ืงืกื˜ ื”ื›ืœื™ ื”ื–ื” ื™ื—ื–ื™ืจ; ื‘ื—ืจ ืืœื’ื•ืจื™ืชื ืœืขื™ืฆื•ื‘; ืœื›ืชื•ื‘ ืงื•ื“. ืœืžืฉื™ืžื” ื–ื• ื™ืฉ ืชืช-ืžื˜ืœืช ืžืฉืœื”: ื”ื›ื ืกืช ืžืงืคื™ื ืœืžื™ืœื™ื ื‘ืฆื•ืจื” ื ื›ื•ื ื”. ืื ื—ื ื• ื’ื ืคื•ืชืจื™ื ืืช ื”ืžืฉื ื” ื”ื–ื• ื‘ืฉืœื•ืฉื” ืฉืœื‘ื™ื - ื›ืคื™ ืฉืื ื• ืจื•ืื™ื, ื”ื ื—ื•ื–ืจื™ื ืขืœ ืขืฆืžื ื‘ืจืžื•ืช ืจื‘ื•ืช.

ื‘ื•ืื• ื ืกืชื›ืœ ืžืงืจื•ื‘ ืขืœ ื”ืฉืœื‘ ื”ืจืืฉื•ืŸ: ืื™ื–ื• ื‘ืขื™ื” ื”ืชื•ื›ื ื™ืช ืคื•ืชืจืช. ื›ืืŸ ืœืจื•ื‘ ืื ื• ืžื“ื’ืžื™ื ืชื•ื›ื ื™ืช ื›ืคื•ื ืงืฆื™ื” ืฉืœื•ืงื—ืช ืงืœื˜ ื›ืœืฉื”ื• ื•ื ื•ืชื ืช ืคืœื˜ ื›ืœืฉื”ื•. ื‘ืžืชืžื˜ื™ืงื”, ืคื•ื ืงืฆื™ื” ืžืชื•ืืจืช ื‘ื“ืจืš ื›ืœืœ ื›ืงื‘ื•ืฆื” ืžืกื•ื“ืจืช ืฉืœ ื–ื•ื’ื•ืช. ืœื“ื•ื’ืžื”, ืคื•ื ืงืฆื™ื™ืช ื”ืจื™ื‘ื•ืข ืขื‘ื•ืจ ืžืกืคืจื™ื ื˜ื‘ืขื™ื™ื ืžืชื•ืืจืช ื›ืงื‘ื•ืฆื” {<0,0>, <1,1>, <2,4>, <3,9>, โ€ฆ}. ืชื—ื•ื ื”ื”ื’ื“ืจื” ืฉืœ ืคื•ื ืงืฆื™ื” ื›ื–ื• ื”ื•ื ืงื‘ื•ืฆืช ื”ืืœืžื ื˜ื™ื ื”ืจืืฉื•ื ื™ื ืฉืœ ื›ืœ ื–ื•ื’, ื›ืœื•ืžืจ, ืžืกืคืจื™ื ื˜ื‘ืขื™ื™ื. ื›ื“ื™ ืœื”ื’ื“ื™ืจ ืคื•ื ืงืฆื™ื”, ืขืœื™ื ื• ืœืฆื™ื™ืŸ ืืช ื”ืชื—ื•ื ื•ื”ื ื•ืกื—ื” ืฉืœื”.

ืื‘ืœ ืคื•ื ืงืฆื™ื•ืช ื‘ืžืชืžื˜ื™ืงื” ืื™ื ืŸ ื–ื”ื•ืช ืœืคื•ื ืงืฆื™ื•ืช ื‘ืฉืคื•ืช ืชื›ื ื•ืช. ื”ืžืชืžื˜ื™ืงื” ื”ืจื‘ื” ื™ื•ืชืจ ืคืฉื•ื˜ื”. ืžื›ื™ื•ื•ืŸ ืฉืื™ืŸ ืœื™ ื–ืžืŸ ืœื“ื•ื’ืžืื•ืช ืžื•ืจื›ื‘ื•ืช, ื‘ื•ื ื ื—ืฉื•ื‘ ืขืœ ืื—ืช ืคืฉื•ื˜ื”: ืคื•ื ืงืฆื™ื” ื‘-C ืื• ืฉื™ื˜ื” ืกื˜ื˜ื™ืช ื‘-Java ืฉืžื—ื–ื™ืจื” ืืช ื”ืžื—ืœืง ื”ืžืฉื•ืชืฃ ื”ื’ื“ื•ืœ ื‘ื™ื•ืชืจ ืฉืœ ืฉื ื™ ืžืกืคืจื™ื ืฉืœืžื™ื. ื‘ืžืคืจื˜ ืฉืœ ืฉื™ื˜ื” ื–ื• ื ื›ืชื•ื‘: ืžื—ื•ืฉื‘ GCD(M,N) ืœื˜ื™ืขื•ื ื™ื M ะธ Nืื™ืคื” GCD(M,N) - ืคื•ื ืงืฆื™ื” ืฉื”ืชื—ื•ื ืฉืœื” ื”ื•ื ืงื‘ื•ืฆื” ืฉืœ ื–ื•ื’ื•ืช ืฉืœ ืžืกืคืจื™ื ืฉืœืžื™ื, ื•ืขืจืš ื”ื”ื—ื–ืจ ื”ื•ื ื”ืžืกืคืจ ื”ืฉืœื ื”ื’ื“ื•ืœ ื‘ื™ื•ืชืจ ืฉืžื—ื•ืœืง ื‘ M ะธ N. ืื™ืš ื”ืžืฆื™ืื•ืช ื‘ื”ืฉื•ื•ืื” ืœืžื•ื“ืœ ื”ื–ื”? ื”ืžื•ื“ืœ ืคื•ืขืœ ืขื ืžืกืคืจื™ื ืฉืœืžื™ื, ื•ื‘-C ืื• Java ื™ืฉ ืœื ื• 32 ืกื™ื‘ื™ื•ืช int. ืžื•ื“ืœ ื–ื” ืžืืคืฉืจ ืœื ื• ืœื”ื—ืœื™ื˜ ื”ืื ื”ืืœื’ื•ืจื™ืชื ื ื›ื•ืŸ GCD, ืื‘ืœ ื–ื” ืœื ื™ืžื ืข ืฉื’ื™ืื•ืช ื”ืฆืคื”. ื–ื” ื™ื“ืจื•ืฉ ืžื•ื“ืœ ืžื•ืจื›ื‘ ื™ื•ืชืจ, ืฉืื™ืŸ ืœื• ื–ืžืŸ.

ื‘ื•ืื• ื ื“ื‘ืจ ืขืœ ื”ืžื’ื‘ืœื•ืช ืฉืœ ื”ืคื•ื ืงืฆื™ื” ื›ืžื•ื“ืœ. ืชื•ื›ื ื™ื•ืช ืžืกื•ื™ืžื•ืช (ื›ื’ื•ืŸ ืžืขืจื›ื•ืช ื”ืคืขืœื”) ืœื ืจืง ืžื—ื–ื™ืจื•ืช ืขืจืš ืกืคืฆื™ืคื™ ืขื‘ื•ืจ ืืจื’ื•ืžื ื˜ื™ื ืžืกื•ื™ืžื™ื; ื”ืŸ ื™ื›ื•ืœื•ืช ืœืคืขื•ืœ ื‘ืจืฆื™ืคื•ืช. ื‘ื ื•ืกืฃ, ื”ืคื•ื ืงืฆื™ื” ื›ืžื•ื“ืœ ืื™ื ื” ืžืชืื™ืžื” ืœืฉืœื‘ ื”ืฉื ื™: ืชื›ื ื•ืŸ ื›ื™ืฆื“ ืœืคืชื•ืจ ืืช ื”ื‘ืขื™ื”. Quicksort ื•ืžื™ื•ืŸ ื‘ื•ืขื•ืช ืžื—ืฉื‘ื™ื ืืช ืื•ืชื” ืคื•ื ืงืฆื™ื”, ืื‘ืœ ื”ื ืืœื’ื•ืจื™ืชืžื™ื ืฉื•ื ื™ื ืœื—ืœื•ื˜ื™ืŸ. ืœื›ืŸ, ื›ื“ื™ ืœืชืืจ ืืช ื”ื“ืจืš ืœื”ืฉื’ืช ืžื˜ืจืช ื”ืชื•ื›ื ื™ืช, ืื ื™ ืžืฉืชืžืฉ ื‘ืžื•ื“ืœ ืื—ืจ, ื ืงืจื ืœื• ื”ืžื•ื“ืœ ื”ื”ืชื ื”ื’ื•ืชื™ ื”ืกื˜ื ื“ืจื˜ื™. ื”ืชื•ื›ื ื™ืช ืžื™ื•ืฆื’ืช ื‘ื” ื›ืงื‘ื•ืฆื” ืฉืœ ื›ืœ ื”ื”ืชื ื”ื’ื•ื™ื•ืช ื”ืชืงืคื•ืช, ืฉื›ืœ ืื—ืช ืžื”ืŸ, ื‘ืชื•ืจื”, ื”ื™ื ืจืฆืฃ ืฉืœ ืžืฆื‘ื™ื, ื•ืžืฆื‘ ื”ื•ื ื”ืงืฆืืช ืขืจื›ื™ื ืœืžืฉืชื ื™ื.

ื‘ื•ืื• ื ืจืื” ืื™ืš ื™ื™ืจืื” ื”ืฉืœื‘ ื”ืฉื ื™ ืฉืœ ื”ืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™. ืื ื—ื ื• ืฆืจื™ื›ื™ื ืœื—ืฉื‘ GCD(M, N). ืื ื—ื ื• ืžืืชื—ืœื™ื M ืื™ืš xื• - N ืื™ืš y, ื•ืื– ืœื”ืคื—ื™ืช ืฉื•ื‘ ื•ืฉื•ื‘ ืืช ื”ืงื˜ืŸ ืžื‘ื™ืŸ ื”ืžืฉืชื ื™ื ื”ืœืœื• ืžื”ื’ื“ื•ืœ ืขื“ ืฉื”ื ืฉื•ื•ื™ื. ืœื“ื•ื’ืžื”, ืื M = 12ื• - N = 18, ื ื•ื›ืœ ืœืชืืจ ืืช ื”ื”ืชื ื”ื’ื•ืช ื”ื‘ืื”:

[x = 12, y = 18] โ†’ [x = 12, y = 6] โ†’ [x = 6, y = 6]

ื•ืื M = 0 ะธ N = 0? ื”ืืคืก ืžืชื—ืœืง ื‘ื›ืœ ื”ืžืกืคืจื™ื, ื•ืœื›ืŸ ืื™ืŸ ื”ืžื—ืœืง ื”ื’ื“ื•ืœ ื‘ื™ื•ืชืจ ื‘ืžืงืจื” ื–ื”. ื‘ืžืฆื‘ ื–ื” ืฆืจื™ืš ืœื—ื–ื•ืจ ืœืฉืœื‘ ื”ืจืืฉื•ืŸ ื•ืœืฉืื•ืœ: ื”ืื ื‘ืืžืช ืฆืจื™ืš ืœื—ืฉื‘ GCD ืœืžืกืคืจื™ื ืœื ื—ื™ื•ื‘ื™ื™ื? ืื ื–ื” ืœื ื”ื›ืจื—ื™, ืื– ืืชื” ืจืง ืฆืจื™ืš ืœืฉื ื•ืช ืืช ื”ืžืคืจื˜.

ื›ืืŸ ื™ืฉ ืžืงื•ื ืœืกื˜ื” ืงืฆืจื” ืขืœ ืคืจื•ื“ื•ืงื˜ื™ื‘ื™ื•ืช. ืœืขืชื™ื ืงืจื•ื‘ื•ืช ื”ื•ื ื ืžื“ื“ ื‘ืžืกืคืจ ืฉื•ืจื•ืช ื”ืงื•ื“ ื”ื ื›ืชื‘ื•ืช ื‘ื™ื•ื. ืื‘ืœ ื”ืขื‘ื•ื“ื” ืฉืœืš ื”ืจื‘ื” ื™ื•ืชืจ ืฉื™ืžื•ืฉื™ืช ืื ืืชื” ื ืคื˜ืจ ืžืžืกืคืจ ืžืกื•ื™ื ืฉืœ ืฉื•ืจื•ืช, ื›ื™ ื™ืฉ ืœืš ืคื—ื•ืช ืžืงื•ื ืœื‘ืื’ื™ื. ื•ื”ื“ืจืš ื”ืงืœื” ื‘ื™ื•ืชืจ ืœื”ื™ืคื˜ืจ ืžืงื•ื“ ื”ื™ื ื‘ืฉืœื‘ ื”ืจืืฉื•ืŸ. ื™ืชื›ืŸ ืฉืืชื” ืคืฉื•ื˜ ืœื ืฆืจื™ืš ืืช ื›ืœ ื”ืคืขืžื•ื ื™ื ื•ื”ืฉืจื™ืงื•ืช ืฉืืชื” ืžื ืกื” ืœื™ื™ืฉื. ื”ื“ืจืš ื”ืžื”ื™ืจื” ื‘ื™ื•ืชืจ ืœืคืฉื˜ ืชื•ื›ื ื™ืช ื•ืœื—ืกื•ืš ื–ืžืŸ ื”ื™ื ืœื ืœืขืฉื•ืช ื“ื‘ืจื™ื ืฉืืกื•ืจ ืœืขืฉื•ืช. ืœืฉืœื‘ ื”ืฉื ื™ ื™ืฉ ืืช ืคื•ื˜ื ืฆื™ืืœ ื”ื—ื™ืกื›ื•ืŸ ื‘ื–ืžืŸ ื”ืฉื ื™ ื‘ื’ื•ื‘ื”ื•. ืื ืืชื” ืžื•ื“ื“ ืคืจื•ื“ื•ืงื˜ื™ื‘ื™ื•ืช ื‘ืžื•ื ื—ื™ื ืฉืœ ืฉื•ืจื•ืช ืฉื ื›ืชื‘ื•, ืื– ื—ืฉื™ื‘ื” ืขืœ ืื™ืš ืœื”ืฉืœื™ื ืžืฉื™ืžื” ืชื’ืจื•ื ืœืš ืคื—ื•ืช ืคืจื•ื“ื•ืงื˜ื™ื‘ื™, ื›ื™ ืืชื” ื™ื›ื•ืœ ืœืคืชื•ืจ ืืช ืื•ืชื” ื‘ืขื™ื” ืขื ืคื—ื•ืช ืงื•ื“. ืื ื™ ืœื ื™ื›ื•ืœ ืœืชืช ื›ืืŸ ืกื˜ื˜ื™ืกื˜ื™ืงื” ืžื“ื•ื™ืงืช, ื›ื™ ืื™ืŸ ืœื™ ื“ืจืš ืœืกืคื•ืจ ืืช ืžืกืคืจ ื”ืฉื•ืจื•ืช ืฉืœื ื›ืชื‘ืชื™ ื‘ื’ืœืœ ื”ื–ืžืŸ ืฉื”ืฉืงืขืชื™ ื‘ืžืคืจื˜, ื›ืœื•ืžืจ ื‘ืฉืœื‘ ื”ืจืืฉื•ืŸ ื•ื”ืฉื ื™. ื•ื’ื ื›ืืŸ ืœื ื ื•ื›ืœ ืœืขืฉื•ืช ื ื™ืกื•ื™, ื›ื™ ื‘ื ื™ืกื•ื™ ืื™ืŸ ืœื ื• ืืช ื”ื–ื›ื•ืช ืœื”ืฉืœื™ื ืืช ื”ืฉืœื‘ ื”ืจืืฉื•ืŸ, ื”ืžืฉื™ืžื” ื ืงื‘ืขืช ืžืจืืฉ.

ืงืœ ืœื”ืชืขืœื ืžืงืฉื™ื™ื ืจื‘ื™ื ื‘ืžืคืจื˜ื™ื ืœื ืคื•ืจืžืœื™ื™ื. ืื™ืŸ ืฉื•ื ื“ื‘ืจ ืงืฉื” ื‘ื›ืชื™ื‘ืช ืžืคืจื˜ื™ื ืงืคื“ื ื™ื™ื ืœืคื•ื ืงืฆื™ื•ืช; ืื ื™ ืœื ืื“ื•ืŸ ื‘ื–ื”. ื‘ืžืงื•ื ื–ืืช, ื ื“ื‘ืจ ืขืœ ื›ืชื™ื‘ืช ืžืคืจื˜ื™ื ื—ื–ืงื™ื ืœื”ืชื ื”ื’ื•ื™ื•ืช ืกื˜ื ื“ืจื˜ื™ื•ืช. ื™ืฉื ื• ืžืฉืคื˜ ืฉืงื•ื‘ืข ืฉื ื™ืชืŸ ืœืชืืจ ื›ืœ ืงื‘ื•ืฆื” ืฉืœ ื”ืชื ื”ื’ื•ื™ื•ืช ื‘ืืžืฆืขื•ืช ืžืืคื™ื™ืŸ ื”ืื‘ื˜ื—ื” (ื‘ื˜ื™ื—ื•ืช) ื•ืžืืคื™ื™ื ื™ ืฉืจื™ื“ื•ืช (ื—ื™ื•ืช). ื‘ื˜ื™ื—ื•ืช ืคื™ืจื•ืฉื” ืฉืฉื•ื ื“ื‘ืจ ืจืข ืœื ื™ืงืจื”, ื”ืชื•ื›ื ื™ืช ืœื ืชื™ืชืŸ ืืช ื”ืชืฉื•ื‘ื” ื”ืฉื’ื•ื™ื”. ืฉืจื™ื“ื•ืช ืคื™ืจื•ืฉื” ืฉื‘ืžื•ืงื“ื ืื• ื‘ืžืื•ื—ืจ ื™ืงืจื” ืžืฉื”ื• ื˜ื•ื‘, ื›ืœื•ืžืจ ื”ืชื•ื›ื ื™ืช ืชื™ืชืŸ ื‘ืžื•ืงื“ื ืื• ื‘ืžืื•ื—ืจ ืืช ื”ืชืฉื•ื‘ื” ื”ื ื›ื•ื ื”. ื›ื›ืœืœ, ืื‘ื˜ื—ื” ื”ื™ื ืื™ื ื“ื™ืงื˜ื•ืจ ื—ืฉื•ื‘ ื™ื•ืชืจ; ืฉื’ื™ืื•ืช ืžืชืจื—ืฉื•ืช ื›ืืŸ ืœืจื•ื‘. ืœื›ืŸ, ื›ื“ื™ ืœื—ืกื•ืš ื–ืžืŸ, ืœื ืื“ื‘ืจ ืขืœ ืฉืจื™ื“ื•ืช, ืื ื›ื™ ื”ื™ื, ื›ืžื•ื‘ืŸ, ื’ื ื—ืฉื•ื‘ื”.

ืื ื• ืžืฉื™ื’ื™ื ื‘ื˜ื™ื—ื•ืช ืขืœ ื™ื“ื™ ืฆื™ื•ืŸ ืชื—ื™ืœื” ืงื‘ื•ืฆื” ืฉืœ ืžืฆื‘ื™ื ืจืืฉื•ื ื™ื™ื ืืคืฉืจื™ื™ื. ื•ืฉื ื™ืช, ื™ื—ืกื™ื ืขื ื›ืœ ื”ืžื“ื™ื ื•ืช ื”ื‘ืื•ืช ื”ืืคืฉืจื™ื•ืช ืขื‘ื•ืจ ื›ืœ ืžื“ื™ื ื”. ื‘ื•ืื• ื ืชื ื”ื’ ื›ืžื• ืžื“ืขื ื™ื ื•ื ื’ื“ื™ืจ ืžืฆื‘ื™ื ื‘ืื•ืคืŸ ืžืชืžื˜ื™. ืงื‘ื•ืฆืช ื”ืžืฆื‘ื™ื ื”ื”ืชื—ืœืชื™ื™ื ืžืชื•ืืจืช ืขืœ ื™ื“ื™ ื”ื ื•ืกื—ื”, ืœืžืฉืœ, ื‘ืžืงืจื” ืฉืœ ื”ืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™: (x = M) โˆง (y = N). ืœืขืจื›ื™ื ืžืกื•ื™ืžื™ื M ะธ N ื™ืฉ ืจืง ืžืฆื‘ ื”ืชื—ืœืชื™ ืื—ื“. ื”ืงืฉืจ ืขื ื”ืžืฆื‘ ื”ื‘ื ืžืชื•ืืจ ืขืœ ื™ื“ื™ ื ื•ืกื—ื” ืฉื‘ื” ื”ืžืฉืชื ื™ื ืฉืœ ื”ืžืฆื‘ ื”ื‘ื ื ื›ืชื‘ื™ื ืขื ืจืืฉื•ื ื™, ื•ื”ืžืฉืชื ื™ื ืฉืœ ื”ืžืฆื‘ ื”ื ื•ื›ื—ื™ ื ื›ืชื‘ื™ื ืœืœื ืจืืฉื™. ื‘ืžืงืจื” ืฉืœ ื”ืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™, ื ืขืกื•ืง ื‘ื ื™ืชื•ืง ืฉืœ ืฉืชื™ ื ื•ืกื—ืื•ืช, ื‘ืื—ืช ืžื”ืŸ x ื”ื•ื ื”ืขืจืš ื”ื’ื“ื•ืœ ื‘ื™ื•ืชืจ, ื•ื‘ืฉื ื™ - y:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื‘ืžืงืจื” ื”ืจืืฉื•ืŸ, ื”ืขืจืš ื”ื—ื“ืฉ ืฉืœ y ืฉื•ื•ื” ืœืขืจืš ื”ืงื•ื“ื ืฉืœ y, ื•ืื ื• ืžืงื‘ืœื™ื ืืช ื”ืขืจืš ื”ื—ื“ืฉ ืฉืœ x ืขืœ ื™ื“ื™ ื”ืคื—ืชืช ื”ืžืฉืชื ื” ื”ืงื˜ืŸ ืžื”ื’ื“ื•ืœ. ื‘ืžืงืจื” ื”ืฉื ื™, ืื ื—ื ื• ืขื•ืฉื™ื ืืช ื”ื”ื™ืคืš.

ื‘ื•ืื• ื ื—ื–ื•ืจ ืœืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™. ื ื ื™ื— ืฉื•ื‘ ืืช ื–ื” M = 12, N = 18. ื–ื” ืžื’ื“ื™ืจ ืžืฆื‘ ื”ืชื—ืœืชื™ ื™ื—ื™ื“, (x = 12) โˆง (y = 18). ืœืื—ืจ ืžื›ืŸ ืื ื• ืžื—ื‘ืจื™ื ืืช ื”ืขืจื›ื™ื ื”ืœืœื• ืœื ื•ืกื—ื” ืœืžืขืœื” ื•ืžืงื‘ืœื™ื:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื”ื ื” ื”ืคืชืจื•ืŸ ื”ืืคืฉืจื™ ื”ื™ื—ื™ื“: x' = 18 - 12 โˆง y' = 12, ื•ืื ื• ืžืงื‘ืœื™ื ืืช ื”ื”ืชื ื”ื’ื•ืช: [x = 12, y = 18]. ื‘ืื•ืชื• ืื•ืคืŸ, ืื ื• ื™ื›ื•ืœื™ื ืœืชืืจ ืืช ื›ืœ ื”ืžืฆื‘ื™ื ื‘ื”ืชื ื”ื’ื•ืช ืฉืœื ื•: [x = 12, y = 18] โ†’ [x = 12, y = 6] โ†’ [x = 6, y = 6].

ื‘ืžืฆื‘ ืื—ืจื•ืŸ [x = 6, y = 6] ืฉื ื™ ื—ืœืงื™ ื”ื‘ื™ื˜ื•ื™ ื™ื”ื™ื• ืฉืงืจื™ื™ื, ื•ืœื›ืŸ ืื™ืŸ ืœื• ืžืฆื‘ ื”ื‘ื. ืื– ื™ืฉ ืœื ื• ืžืคืจื˜ ืฉืœื ืฉืœ ื”ืฉืœื‘ ื”ืฉื ื™ - ื›ืคื™ ืฉืื ื• ืจื•ืื™ื, ืžื“ื•ื‘ืจ ื‘ืžืชืžื˜ื™ืงื” ื“ื™ ืจื’ื™ืœื”, ื›ืžื• ื–ื• ืฉืœ ืžื”ื ื“ืกื™ื ื•ืžื“ืขื ื™ื, ื•ืœื ืžื•ื–ืจ, ื›ืžื• ื‘ืžื“ืขื™ ื”ืžื—ืฉื‘.

ื ื™ืชืŸ ืœืฉืœื‘ ืืช ืฉืชื™ ื”ื ื•ืกื—ืื•ืช ื”ืœืœื• ืœื ื•ืกื—ื” ืื—ืช ืฉืœ ื”ื™ื’ื™ื•ืŸ ื–ืžื ื™. ื–ื” ืืœื’ื ื˜ื™ ื•ืงืœ ืœื”ืกื‘ืจ, ืื‘ืœ ืื™ืŸ ื–ืžืŸ ืœื–ื” ืขื›ืฉื™ื•. ืื ื• ืขืฉื•ื™ื™ื ืœื”ื–ื“ืงืง ืœื”ื™ื’ื™ื•ืŸ ื–ืžื ื™ ืจืง ืขื‘ื•ืจ ืจื›ื•ืฉ ื”ื—ื™ื•ืช; ืœืžืขืŸ ื”ื‘ื™ื˜ื—ื•ืŸ ืื™ืŸ ืฆื•ืจืš ื‘ื›ืš. ืื ื™ ืœื ืื•ื”ื‘ ืืช ื”ื”ื™ื’ื™ื•ืŸ ื”ื–ืžื ื™ ื›ื›ื–ื”, ื–ื• ืœื ืžืชืžื˜ื™ืงื” ืจื’ื™ืœื” ืœื’ืžืจื™, ืื‘ืœ ื‘ืžืงืจื” ืฉืœ ื—ื™ื•ื ื™ื•ืช ื–ื” ืจืข ื”ื›ืจื—ื™.

ื‘ืืœื’ื•ืจื™ืชื ืื•ืงืœื™ื“ื™ ืœื›ืœ ืขืจืš x ะธ y ื™ืฉ ืขืจื›ื™ื ื™ื™ื—ื•ื“ื™ื™ื x' ะธ y', ืืฉืจ ื”ื•ืคื›ื™ื ืืช ื”ื™ื—ืก ืขื ื”ืžืฆื‘ ื”ื‘ื ืœืืžื™ืชื™. ื‘ืžื™ืœื™ื ืื—ืจื•ืช, ื”ืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™ ื”ื•ื ื“ื˜ืจืžื™ื ื™ืกื˜ื™. ื›ื“ื™ ืœื™ืฆื•ืจ ืžื•ื“ืœ ืฉืœ ืืœื’ื•ืจื™ืชื ืœื ื“ื˜ืจืžื™ื ื™ืกื˜ื™, ื”ืžืฆื‘ ื”ื ื•ื›ื—ื™ ื—ื™ื™ื‘ ืœื”ื™ื•ืช ื‘ืขืœ ืžืกืคืจ ืžืฆื‘ื™ื ืขืชื™ื“ื™ื™ื ืืคืฉืจื™ื™ื, ื•ืœื›ืœ ืขืจืš ืฉืœ ื”ืžืฉืชื ื” ื”ืœื-ื“ืจื•ื ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืžืกืคืจ ืขืจื›ื™ื ืฉืœ ื”ืžืฉืชื ื” ื”ืžื‘ื•ืกืก ื›ืš ืฉื”ืงืฉืจ ืœืžืฆื‘ ื”ื‘ื ื™ื”ื™ื” ื ื›ื•ืŸ. ื–ื” ืœื ืงืฉื” ืœืขืฉื•ืช, ืื‘ืœ ืื ื™ ืœื ืืชืŸ ื“ื•ื’ืžืื•ืช ืขื›ืฉื™ื•.

ื›ื“ื™ ืœื™ืฆื•ืจ ื›ืœื™ ืขื‘ื•ื“ื”, ืืชื” ืฆืจื™ืš ืžืชืžื˜ื™ืงื” ืคื•ืจืžืœื™ืช. ืื™ืš ื”ื•ืคื›ื™ื ืžืคืจื˜ ืจืฉืžื™? ืœืฉื ื›ืš ื ืฆื˜ืจืš ืฉืคื” ืคื•ืจืžืœื™ืช, ืœืžืฉืœ. TLA+. ื”ืžืคืจื˜ ืฉืœ ื”ืืœื’ื•ืจื™ืชื ื”ืื•ืงืœื™ื“ื™ ื‘ืฉืคื” ื–ื• ื™ื™ืจืื” ื›ืš:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ืกืžืœ ืกื™ืžืŸ ื”ืฉื•ื•ื” ืขื ืžืฉื•ืœืฉ ืคื™ืจื•ืฉื• ืฉื”ืขืจืš ืžืฉืžืืœ ืœืกื™ืžืŸ ื ืงื‘ืข ื›ืฉื•ื•ื” ืœืขืจืš ืžื™ืžื™ืŸ ืœืกื™ืžืŸ. ื‘ืžื”ื•ืชื•, ืžืคืจื˜ ื”ื•ื ื”ื’ื“ืจื”, ื‘ืžืงืจื” ืฉืœื ื• ืฉืชื™ ื”ื’ื“ืจื•ืช. ืœืžืคืจื˜ ื‘-TLA+ ืฆืจื™ืš ืœื”ื•ืกื™ืฃ ื”ืฆื”ืจื•ืช ื•ืงืฆืช ืชื—ื‘ื™ืจ, ื›ืžื• ื‘ืฉืงื•ืคื™ืช ืœืžืขืœื”. ื‘-ASCII ื–ื” ื™ื™ืจืื” ื›ืš:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื›ืคื™ ืฉืืชื” ื™ื›ื•ืœ ืœืจืื•ืช, ืฉื•ื ื“ื‘ืจ ืœื ืžืกื•ื‘ืš. ื ื™ืชืŸ ืœืืžืช ืืช ื”ืžืคืจื˜ ื‘-TLA+, ื›ืœื•ืžืจ, ื ื™ืชืŸ ืœืขืงื•ืฃ ืืช ื›ืœ ื”ื”ืชื ื”ื’ื•ื™ื•ืช ื”ืืคืฉืจื™ื•ืช ื‘ืžื•ื“ืœ ืงื˜ืŸ. ื‘ืžืงืจื” ืฉืœื ื•, ื”ืžื•ื“ืœ ื”ื–ื” ื™ื”ื™ื” ืขืจื›ื™ื ืžืกื•ื™ืžื™ื M ะธ N. ื–ื•ื”ื™ ืฉื™ื˜ืช ืื™ืžื•ืช ืžืื•ื“ ื™ืขื™ืœื” ื•ืคืฉื•ื˜ื” ืฉื”ื™ื ืื•ื˜ื•ืžื˜ื™ืช ืœื—ืœื•ื˜ื™ืŸ. ื‘ื ื•ืกืฃ, ืืคืฉืจ ืœื›ืชื•ื‘ ื”ื•ื›ื—ื•ืช ืืžืช ืจืฉืžื™ื•ืช ื•ืœื‘ื“ื•ืง ืื•ืชืŸ ื‘ืฆื•ืจื” ืžื›ื ื™ืช, ืื‘ืœ ื–ื” ืœื•ืงื— ื”ืจื‘ื” ื–ืžืŸ, ืื– ื›ืžืขื˜ ืืฃ ืื—ื“ ืœื ืขื•ืฉื” ืืช ื–ื”.

ื”ื—ื™ืกืจื•ืŸ ื”ืขื™ืงืจื™ ืฉืœ TLA+ ื”ื•ื ืฉืžื“ื•ื‘ืจ ื‘ืžืชืžื˜ื™ืงื”, ื•ืžืชื›ื ืชื™ื ื•ืžื“ืขื ื™ ืžื—ืฉื‘ ืžืคื—ื“ื™ื ืžืžืชืžื˜ื™ืงื”. ื‘ืžื‘ื˜ ืจืืฉื•ืŸ ื–ื” ื ืฉืžืข ื›ืžื• ื‘ื“ื™ื—ื”, ืื‘ืœ, ืœืฆืขืจื™, ืื ื™ ืื•ืžืจ ืืช ื–ื” ื‘ืžืœื•ื ื”ืจืฆื™ื ื•ืช. ืขืžื™ืช ืฉืœื™ ื‘ื“ื™ื•ืง ืกื™ืคืจ ืœื™ ืื™ืš ื”ื•ื ื ื™ืกื” ืœื”ืกื‘ื™ืจ TLA+ ืœื›ืžื” ืžืคืชื—ื™ื. ื‘ืจื’ืข ืฉื”ืคื•ืจืžื•ืœื•ืช ื”ื•ืคื™ืขื• ืขืœ ื”ืžืกืš, ืขื™ื ื™ื”ื ื ืขืฉื• ืžื™ื“ ื–ื’ื•ื’ื™ื•ืช. ืื– ืื TLA+ ืžืคื—ื™ื“, ืืชื” ื™ื›ื•ืœ ืœื”ืฉืชืžืฉ PlusCal, ื”ื™ื ืกื•ื’ ืฉืœ ืฉืคืช ืชื›ื ื•ืช ืฆืขืฆื•ืข. ื‘ื™ื˜ื•ื™ ื‘- PlusCal ื™ื›ื•ืœ ืœื”ื™ื•ืช ื›ืœ ื‘ื™ื˜ื•ื™ TLA+, ื›ืœื•ืžืจ ื‘ืขืฆื ื›ืœ ื‘ื™ื˜ื•ื™ ืžืชืžื˜ื™. ื‘ื ื•ืกืฃ, ืœ- PlusCal ื™ืฉ ืชื—ื‘ื™ืจ ืขื‘ื•ืจ ืืœื’ื•ืจื™ืชืžื™ื ืœื ื“ื˜ืจืžื™ื ื™ืกื˜ื™ื™ื. ืžื›ื™ื•ื•ืŸ ืฉ-PlusCal ื™ื›ื•ืœื” ืœื›ืชื•ื‘ ื›ืœ ื‘ื™ื˜ื•ื™ TLA+, ื”ื•ื ืืงืกืคืจืกื™ื‘ื™ ื™ื•ืชืจ ื‘ืื•ืคืŸ ืžืฉืžืขื•ืชื™ ืžื›ืœ ืฉืคืช ืชื›ื ื•ืช ืืžื™ืชื™ืช. ืœืื—ืจ ืžื›ืŸ, PlusCal ืžื•ืจื›ื‘ ืœืžืคืจื˜ TLA+ ืงืœ ืœืงืจื™ืื”. ื–ื” ืœื ืื•ืžืจ ื›ืžื•ื‘ืŸ ืฉื”ืžืคืจื˜ ื”ืžื•ืจื›ื‘ ืฉืœ PlusCal ื™ื”ืคื•ืš ืœืคืฉื•ื˜ ื‘-TLA+ โ€“ ืจืง ืฉื”ื”ืชื›ืชื‘ื•ืช ื‘ื™ื ื™ื”ื ื‘ืจื•ืจื”, ืœื ืชื•ืคื™ืข ืžื•ืจื›ื‘ื•ืช ื ื•ืกืคืช. ืœื‘ืกื•ืฃ, ื ื™ืชืŸ ืœืืžืช ืžืคืจื˜ ื–ื” ื‘ืืžืฆืขื•ืช ื›ืœื™ TLA+. ื‘ืื•ืคืŸ ื›ืœืœื™, PlusCal ื™ื›ื•ืœื” ืœืขื–ื•ืจ ืœื”ืชื’ื‘ืจ ืขืœ ืคื•ื‘ื™ื” ืžืžืชืžื˜ื™ืงื”; ืงืœ ืœื”ื‘ื™ืŸ ืื•ืชื” ืืคื™ืœื• ืขื‘ื•ืจ ืžืชื›ื ืชื™ื ื•ืžื“ืขื ื™ ืžื—ืฉื‘. ืคืจืกืžืชื™ ืขืœื™ื• ืืœื’ื•ืจื™ืชืžื™ื ื‘ืžืฉืš ื–ืžืŸ ืžื” (ื‘ืขืจืš 10 ืฉื ื™ื) ื‘ืขื‘ืจ.

ืื•ืœื™ ืžื™ืฉื”ื• ื™ืชื ื’ื“ ืœื›ืš ืฉ-TLA+ ื•- PlusCal ื”ืŸ ืžืชืžื˜ื™ืงื”, ื•ืžืชืžื˜ื™ืงื” ืขื•ื‘ื“ืช ืจืง ืขื ื“ื•ื’ืžืื•ืช ืžื•ืžืฆืื•ืช. ื‘ืคื•ืขืœ ืฆืจื™ืš ืฉืคื” ืืžื™ืชื™ืช ืขื ื˜ื™ืคื•ืกื™ื, ื ื”ืœื™ื, ื—ืคืฆื™ื ื•ื›ื“ื•ืžื”. ื–ื” ืœื ื ื›ื•ืŸ. ื”ื ื” ืžื” ืฉื›ื•ืชื‘ ื›ืจื™ืก ื ื™ื•ืงื•ืžื‘, ืฉืขื‘ื“ ื‘ืืžื–ื•ืŸ: "ื”ืฉืชืžืฉื ื• ื‘-TLA+ ื‘ืขืฉืจื” ืคืจื•ื™ืงื˜ื™ื ื’ื“ื•ืœื™ื, ื•ื‘ื›ืœ ืžืงืจื” ื”ืฉื™ืžื•ืฉ ื‘ื• ืขืฉื” ื”ื‘ื“ืœ ืžืฉืžืขื•ืชื™ ื‘ืคื™ืชื•ื— ื›ื™ ื”ืฆืœื—ื ื• ืœืชืคื•ืก ื‘ืื’ื™ื ืžืกื•ื›ื ื™ื ืœืคื ื™ ืฉื”ื ื”ื’ื™ืขื• ืœื™ื™ืฆื•ืจ, ื•ื›ื™ ื–ื” ื ืชืŸ ืœื ื• ืืช ื”ืชื•ื‘ื ื” ื•ื”ื‘ื™ื˜ื—ื•ืŸ ืฉื”ื™ื™ื ื• ืฆืจื™ื›ื™ื ื›ื“ื™ ืœื”ืคื•ืš ืœืื’ืจืกื™ื‘ื™ื™ื ืื•ืคื˜ื™ืžื™ื–ืฆื™ื•ืช ืฉืœ ื‘ื™ืฆื•ืขื™ื ืžื‘ืœื™ ืœื”ืฉืคื™ืข ืขืœ ื”ืืžืช ืฉืœ ื”ืชื•ื›ื ื™ืช". ืœื ืคืขื ืืคืฉืจ ืœืฉืžื•ืข ืฉื‘ืฉื™ืžื•ืฉ ื‘ืฉื™ื˜ื•ืช ืคื•ืจืžืœื™ื•ืช ืื ื—ื ื• ืžืงื‘ืœื™ื ืงื•ื“ ืœื ื™ืขื™ืœ โ€“ ื‘ืคื•ืขืœ ื”ื›ืœ ื‘ื“ื™ื•ืง ื”ืคื•ืš. ื‘ื ื•ืกืฃ, ืงื™ื™ืžืช ืชืคื™ืกื” ืฉืœื ื ื™ืชืŸ ืœืฉื›ื ืข ืžื ื”ืœื™ื ื‘ืฆื•ืจืš ื‘ืฉื™ื˜ื•ืช ืคื•ืจืžืœื™ื•ืช, ื’ื ืื ืžืชื›ื ืชื™ื ืžืฉื•ื›ื ืขื™ื ื‘ืชื•ืขืœืช ืฉืœื”ืŸ. ื•ื ื™ื•ืงื•ืžื‘ ื›ื•ืชื‘: "ื”ืžื ื”ืœื™ื ื“ื•ื—ืคื™ื ื›ืขืช ื‘ื›ืœ ื“ืจืš ืืคืฉืจื™ืช ืœื›ืชื•ื‘ ืžืคืจื˜ื™ื ื‘-TLA+, ื•ืžืงืฆื™ื ื–ืžืŸ ืกืคืฆื™ืคื™ ืœื›ืš". ืื– ื›ืฉืžื ื”ืœื™ื ืจื•ืื™ื ืฉ+TLA ืขื•ื‘ื“, ื”ื ืžื—ื‘ืงื™ื ืืช ื–ื”. ื›ืจื™ืก ื ื™ื•ืงื•ืžื‘ ื›ืชื‘ ืืช ื–ื” ืœืคื ื™ ื›ื—ืฆื™ ืฉื ื” (ืื•ืงื˜ื•ื‘ืจ 2014), ืื‘ืœ ืขื›ืฉื™ื•, ืขื“ ื›ืžื” ืฉื™ื“ื•ืข ืœื™, ืžืฉืชืžืฉื™ื ื‘-TLA+ ื‘-14 ืคืจื•ื™ืงื˜ื™ื, ื•ืœื ื‘-10. ื“ื•ื’ืžื” ื ื•ืกืคืช ืžืชื™ื™ื—ืกืช ืœืขื™ืฆื•ื‘ ืฉืœ ื”-XBox 360. ืžืชืžื—ื” ื”ื’ื™ืข ืœืฆ'ืืจืœืก ืช'ืืงืจ ื›ืชื‘ ืžืคืจื˜ ืขื‘ื•ืจ ืžืขืจื›ืช ื”ื–ื™ื›ืจื•ืŸ. ื”ื•ื“ื•ืช ืœืžืคืจื˜ ื–ื”, ื ืžืฆื ื‘ืื’ ืฉืื—ืจืช ืœื ื”ื™ื” ืžืชื’ืœื” ื•ื™ื’ืจื•ื ืœื›ืœ XBox 360 ืœืงืจื•ืก ืœืื—ืจ ืืจื‘ืข ืฉืขื•ืช ืฉืœ ืฉื™ืžื•ืฉ. ืžื”ื ื“ืกื™ื ืž-IBM ืื™ืฉืจื• ืฉื”ื‘ื“ื™ืงื•ืช ืฉืœื”ื ืœื ื”ื™ื• ืžื–ื”ื•ืช ืืช ื”ื‘ืื’ ื”ื–ื”.

ืืชื” ื™ื›ื•ืœ ืœืงืจื•ื ืขื•ื“ ืขืœ TLA+ ื‘ืื™ื ื˜ืจื ื˜, ืื‘ืœ ืขื›ืฉื™ื• ื‘ื•ืื• ื ื“ื‘ืจ ืขืœ ืžืคืจื˜ื™ื ืœื ืคื•ืจืžืœื™ื™ื. ืœืขืชื™ื ืจื—ื•ืงื•ืช ืื ื—ื ื• ืฆืจื™ื›ื™ื ืœื›ืชื•ื‘ ืชื•ื›ื ื™ื•ืช ืฉืžื—ืฉื‘ื•ืช ืืช ื”ืžื—ืœืง ื”ื›ื™ ืคื—ื•ืช ืžืฉื•ืชืฃ ื•ื›ื“ื•ืžื”. ืœืขืชื™ื ืงืจื•ื‘ื•ืช ื”ืจื‘ื” ื™ื•ืชืจ ืื ื• ื›ื•ืชื‘ื™ื ืชื•ื›ื ื™ื•ืช ื›ืžื• ื›ืœื™ ื”ืžื“ืคืกืช ื”ื™ืคื” ืฉื›ืชื‘ืชื™ ืขื‘ื•ืจ TLA+. ืœืื—ืจ ื”ืขื™ื‘ื•ื“ ื”ืคืฉื•ื˜ ื‘ื™ื•ืชืจ, ืงื•ื“ TLA+ ื™ื™ืจืื” ื›ืš:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ืื‘ืœ ื‘ื“ื•ื’ืžื” ืฉืœืžืขืœื”, ืกื‘ื™ืจ ืœื”ื ื™ื— ืฉื”ืžืฉืชืžืฉ ืจืฆื” ืฉืกื™ืžื ื™ ื”ื—ื™ื‘ื•ืจ ื•ื”ืฉื•ื•ื™ื•ืŸ ื™ื”ื™ื• ืžื™ื•ืฉืจื™ื. ืื– ื”ืขื™ืฆื•ื‘ ื”ื ื›ื•ืŸ ื™ื™ืจืื” ื™ื•ืชืจ ื›ืš:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ืงื—ื• ื“ื•ื’ืžื” ื ื•ืกืคืช:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื›ืืŸ, ืœื”ื™ืคืš, ื”ื™ื™ืฉื•ืจ ืฉืœ ืกื™ืžื ื™ ืฉื•ื•ื™ื•ืŸ, ื—ื™ื‘ื•ืจ ื•ื›ืคืœ ื‘ืžืงื•ืจ ื”ื™ื” ืืงืจืื™, ื›ืš ืฉื”ืขื™ื‘ื•ื“ ื”ืคืฉื•ื˜ ื‘ื™ื•ืชืจ ืžืกืคื™ืง. ื‘ืื•ืคืŸ ื›ืœืœื™, ืื™ืŸ ื”ื’ื“ืจื” ืžืชืžื˜ื™ืช ืžื“ื•ื™ืงืช ืœืขื™ืฆื•ื‘ ื ื›ื•ืŸ, ื›ื™ "ื ื›ื•ืŸ" ื‘ืžืงืจื” ื–ื” ืื•ืžืจ "ืžื” ืฉื”ืžืฉืชืžืฉ ืจื•ืฆื”", ื•ืœื ื ื™ืชืŸ ืœืงื‘ื•ืข ื–ืืช ืžืชืžื˜ื™ืช.

ื ืจืื” ืฉืื ืื™ืŸ ืœื ื• ื”ื’ื“ืจื” ืฉืœ ืืžืช, ืื– ื”ืžืคืจื˜ ื—ืกืจ ืชื•ืขืœืช. ืื‘ืœ ื–ื” ืœื ื ื›ื•ืŸ. ื–ื” ืฉืื ื—ื ื• ืœื ื™ื•ื“ืขื™ื ืžื” ืชื•ื›ื ื™ืช ืฆืจื™ื›ื” ืœืขืฉื•ืช ืœื ืื•ืžืจ ืฉืื ื—ื ื• ืœื ืฆืจื™ื›ื™ื ืœื—ืฉื•ื‘ ืื™ืš ื”ื™ื ืืžื•ืจื” ืœืขื‘ื•ื“ - ืœื”ื™ืคืš, ืื ื—ื ื• ืฆืจื™ื›ื™ื ืœื”ืฉืงื™ืข ื‘ื” ืืคื™ืœื• ื™ื•ืชืจ ืžืืžืฅ. ื”ืžืคืจื˜ ื—ืฉื•ื‘ ื›ืืŸ ื‘ืžื™ื•ื—ื“. ืื™ ืืคืฉืจ ืœืงื‘ื•ืข ืืช ื”ืชื•ื›ื ื™ืช ื”ืื•ืคื˜ื™ืžืœื™ืช ืœื”ื“ืคืกื” ืžื•ื‘ื ื™ืช, ืื‘ืœ ื–ื” ืœื ืื•ืžืจ ืฉืืกื•ืจ ืœื ื• ืœืขืฉื•ืช ืื•ืชื” ื‘ื›ืœืœ, ื•ื›ืชื™ื‘ืช ืงื•ื“ ื›ื–ืจื ืชื•ื“ืขื” ืื™ื ื• ื”ืžืงืจื”. ื‘ืกื•ืคื• ืฉืœ ื“ื‘ืจ ื›ืชื‘ืชื™ ืžืคืจื˜ ืฉืœ ืฉื™ืฉื” ื›ืœืœื™ื ืขื ื”ื’ื“ืจื•ืช ื‘ืฆื•ืจื” ืฉืœ ื”ืขืจื•ืช ื‘ืงื•ื‘ืฅ Java. ื”ื ื” ื“ื•ื’ืžื” ืœืื—ื“ ื”ื›ืœืœื™ื: a left-comment token is LeftComment aligned with its covering token. ื›ืœืœ ื–ื” ื›ืชื•ื‘, ื ื ื™ื—, ื‘ืื ื’ืœื™ืช ืžืชืžื˜ื™ืช: LeftComment aligned, left-comment ะธ covering token - ืžื•ื ื—ื™ื ืขื ื”ื’ื“ืจื•ืช. ื›ืš ืžืชืžื˜ื™ืงืื™ื ืžืชืืจื™ื ืžืชืžื˜ื™ืงื”: ื”ื ื›ื•ืชื‘ื™ื ื”ื’ื“ืจื•ืช ืฉืœ ืžื•ื ื—ื™ื ื•ืขืœ ื‘ืกื™ืกื ื™ื•ืฆืจื™ื ื›ืœืœื™ื. ื”ื™ืชืจื•ืŸ ืฉืœ ืžืคืจื˜ ื–ื” ื”ื•ื ืฉืฉื™ืฉื” ื›ืœืœื™ื ื”ืจื‘ื” ื™ื•ืชืจ ืงืœื™ื ืœื”ื‘ื ื” ื•ืœื ื™ืคื•ื™ ื‘ืื’ื™ื ืžืืฉืจ 850 ืฉื•ืจื•ืช ืงื•ื“. ืื ื™ ื—ื™ื™ื‘ ืœื•ืžืจ ืฉื›ืชื™ื‘ืช ื”ื›ืœืœื™ื ื”ืืœื” ืœื ื”ื™ื™ืชื” ืงืœื”; ืœืงื— ื“ื™ ื”ืจื‘ื” ื–ืžืŸ ืœื ืคื•ืช ืื•ืชื. ื›ืชื‘ืชื™ ืงื•ื“ ื‘ืžื™ื•ื—ื“ ืœืžื˜ืจื” ื–ื• ืฉืืžืจ ืœื™ ื‘ืื™ื–ื” ื›ืœืœ ื ืขืฉื” ืฉื™ืžื•ืฉ. ืžื›ื™ื•ื•ืŸ ืฉื‘ื“ืงืชื™ ืืช ืฉืฉืช ื”ื›ืœืœื™ื ื”ืืœื” ืขื ื›ืžื” ื“ื•ื’ืžืื•ืช, ืœื ื”ื™ื™ืชื™ ืฆืจื™ืš ืœื ืคื•ืช ื‘ืื’ื™ื ื‘-850 ืฉื•ืจื•ืช ืงื•ื“, ื•ื”ื‘ืื’ื™ื ื”ื™ื• ื“ื™ ืงืœื™ื ืœืžืฆื•ื. ืœ-Java ื™ืฉ ื›ืœื™ื ืžืฆื•ื™ื ื™ื ืœื›ืš. ืื ืจืง ื”ื™ื™ืชื™ ื›ื•ืชื‘ ืืช ื”ืงื•ื“, ื–ื” ื”ื™ื” ืœื•ืงื— ืœื™ ื”ืจื‘ื” ื™ื•ืชืจ ื–ืžืŸ ื•ื”ืขื™ืฆื•ื‘ ื”ื™ื” ื‘ืื™ื›ื•ืช ื™ืจื•ื“ื” ื™ื•ืชืจ.

ืžื“ื•ืข ืœื ื ื™ืชืŸ ื”ื™ื” ืœื”ืฉืชืžืฉ ื‘ืžืคืจื˜ ืจืฉืžื™? ืžืฆื“ ืื—ื“, ื‘ื™ืฆื•ืข ื ื›ื•ืŸ ืœื ื—ืฉื•ื‘ ื›ืืŸ ืžื“ื™. ืชื“ืคื™ืก ืžื•ื‘ื ื” ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืœื ืžืกืคืง ืขื‘ื•ืจ ื—ืœืงื, ืื– ืœื ื”ื™ื™ืชื™ ืฆืจื™ืš ืœื’ืจื•ื ืœื• ืœืขื‘ื•ื“ ื›ืจืื•ื™ ื‘ื›ืœ ื”ืžืฆื‘ื™ื ื”ื—ืจื™ื’ื™ื. ืขื•ื“ ื™ื•ืชืจ ื—ืฉื•ื‘ื” ื”ื™ื ื”ืขื•ื‘ื“ื” ืฉืœื ื”ื™ื• ืœื™ ื›ืœื™ื ืžืชืื™ืžื™ื. ื‘ื•ื“ืง ื”ื“ื’ื TLA+ ื”ื•ื ื—ืกืจ ืชื•ืขืœืช ื›ืืŸ, ืื– ืื ื™ ืืฆื˜ืจืš ืœื›ืชื•ื‘ ืืช ื”ื“ื•ื’ืžืื•ืช ื‘ื™ื“.

ืœืžืคืจื˜ ื”ื ืชื•ืŸ ื™ืฉ ืชื›ื•ื ื•ืช ืžืฉื•ืชืคื•ืช ืœื›ืœ ื”ืžืคืจื˜ื™ื. ื–ื” ืจืžื” ื’ื‘ื•ื”ื” ื™ื•ืชืจ ืžืงื•ื“. ื ื™ืชืŸ ืœื™ื™ืฉื ืื•ืชื• ื‘ื›ืœ ืฉืคื”. ืื™ืŸ ื›ืœื™ื ืื• ืฉื™ื˜ื•ืช ืœื›ืชื™ื‘ืชื•. ืฉื•ื ืงื•ืจืก ืชื›ื ื•ืช ืœื ื™ืขื–ื•ืจ ืœืš ืœื›ืชื•ื‘ ืืช ื”ืžืคืจื˜ ื”ื–ื”. ื•ืื™ืŸ ื›ืœื™ื ืฉื™ื›ื•ืœื™ื ืœื”ืคื•ืš ืืช ื”ืžืคืจื˜ ื”ื–ื” ืœืžื™ื•ืชืจ, ืืœื ืื ื›ืžื•ื‘ืŸ ืืชื” ื›ื•ืชื‘ ืฉืคื” ื‘ืžื™ื•ื—ื“ ืœื›ืชื™ื‘ืช ืชื•ื›ื ื™ื•ืช ืชื“ืคื™ืก ืžื•ื‘ื ื•ืช ื‘-TLA+. ืœื‘ืกื•ืฃ, ื”ืžืคืจื˜ ื”ื–ื” ืœื ืื•ืžืจ ื›ืœื•ื ืขืœ ืื™ืš ื‘ื“ื™ื•ืง ื ื›ืชื•ื‘ ืืช ื”ืงื•ื“, ื”ื•ื ืจืง ืžืฆื™ื™ืŸ ืžื” ื”ืงื•ื“ ืขื•ืฉื”. ืื ื• ื›ื•ืชื‘ื™ื ืžืคืจื˜ ืฉื™ืขื–ื•ืจ ืœื ื• ืœื—ืฉื•ื‘ ืขืœ ื”ื‘ืขื™ื” ืœืคื ื™ ืฉื ืชื—ื™ืœ ืœื—ืฉื•ื‘ ืขืœ ื”ืงื•ื“.

ืื‘ืœ ืœืžืคืจื˜ ื”ื–ื” ื™ืฉ ื’ื ืชื›ื•ื ื•ืช ืฉืžื‘ื“ื™ืœื•ืช ืื•ืชื• ืžืžืคืจื˜ื™ื ืื—ืจื™ื. 95% ืžื”ืžืคืจื˜ื™ื ื”ืื—ืจื™ื ื”ื ื”ืจื‘ื” ื™ื•ืชืจ ืงืฆืจื™ื ื•ืคืฉื•ื˜ื™ื:

ืชื›ื ื•ืช ื”ื•ื ื™ื•ืชืจ ืžืงื™ื“ื•ื“

ื™ืชืจ ืขืœ ื›ืŸ, ืžืคืจื˜ ื–ื” ื”ื•ื ืžืขืจื›ืช ืฉืœ ื›ืœืœื™ื. ื–ื” ื‘ื“ืจืš ื›ืœืœ ืกื™ืžืŸ ืœืžืคืจื˜ ื’ืจื•ืข. ื”ื‘ื ืช ื”ื”ืฉืœื›ื•ืช ืฉืœ ืžืขืจื›ืช ื›ืœืœื™ื ื”ื™ื ื“ื™ ืงืฉื”, ื•ื–ื• ื”ืกื™ื‘ื” ืฉื”ื™ื™ืชื™ ืฆืจื™ืš ืœื”ืฉืงื™ืข ื–ืžืŸ ืจื‘ ื‘ื ื™ืคื•ื™ ื‘ืื’ื™ื. ืขื ื–ืืช, ื‘ืžืงืจื” ื–ื” ืœื ื”ืฆืœื—ืชื™ ืœืžืฆื•ื ื“ืจืš ื˜ื•ื‘ื” ื™ื•ืชืจ.

ื›ื“ืื™ ืœื•ืžืจ ื›ืžื” ืžื™ืœื™ื ืขืœ ืชื•ื›ื ื•ืช ื”ืคื•ืขืœื•ืช ื‘ืจืฆื™ืคื•ืช. ื‘ื“ืจืš ื›ืœืœ ื”ื ืคื•ืขืœื™ื ื‘ืžืงื‘ื™ืœ, ื›ื’ื•ืŸ ืžืขืจื›ื•ืช ื”ืคืขืœื” ืื• ืžืขืจื›ื•ืช ืžื‘ื•ื–ืจื•ืช. ืžืขื˜ ืžืื•ื“ ืื ืฉื™ื ื™ื›ื•ืœื™ื ืœื”ื‘ื™ืŸ ืื•ืชื ื‘ืžื•ื—ื ืื• ืขืœ ื”ื ื™ื™ืจ, ื•ืื ื™ ืœื ืื—ื“ ืžื”ื, ืœืžืจื•ืช ืฉืคืขื ื”ื™ื™ืชื™ ืžืกื•ื’ืœ ืœืขืฉื•ืช ืืช ื–ื”. ืœื›ืŸ ืื ื—ื ื• ืฆืจื™ื›ื™ื ื›ืœื™ื ืฉื™ื‘ื“ืงื• ืืช ื”ืขื‘ื•ื“ื” ืฉืœื ื• - ืœืžืฉืœ TLA+ ืื• PlusCal.

ืœืžื” ื”ื™ื™ืชื™ ืฆืจื™ืš ืœื›ืชื•ื‘ ืžืคืจื˜ ืื ื›ื‘ืจ ื™ื“ืขืชื™ ืžื” ื”ืงื•ื“ ืฆืจื™ืš ืœืขืฉื•ืช? ืœืžืขืฉื”, ืจืง ื—ืฉื‘ืชื™ ืฉืื ื™ ื™ื•ื“ืข ืืช ื–ื”. ื‘ื ื•ืกืฃ, ืขื ืžืคืจื˜ ื‘ืžืงื•ื, ื’ื•ืจื ื—ื™ืฆื•ื ื™ ื›ื‘ืจ ืœื ืฆืจื™ืš ืœื”ืกืชื›ืœ ืœืชื•ืš ื”ืงื•ื“ ื›ื“ื™ ืœื”ื‘ื™ืŸ ืžื” ื‘ื“ื™ื•ืง ื”ื•ื ืขื•ืฉื”. ื™ืฉ ืœื™ ื›ืœืœ: ืืกื•ืจ ืฉื™ื”ื™ื• ื›ืœืœื™ื ื›ืœืœื™ื™ื. ื™ืฉ ื—ืจื™ื’ ืœื›ืœืœ ื”ื–ื” ื›ืžื•ื‘ืŸ, ื–ื” ื”ื›ืœืœ ื”ื›ืœืœื™ ื”ื™ื—ื™ื“ ืฉืื ื™ ืขื•ืงื‘ ืื—ืจื™ื•: ื”ืžืคืจื˜ ืฉืœ ืžื” ืฉื”ืงื•ื“ ืขื•ืฉื” ืฆืจื™ืš ืœื”ื’ื™ื“ ืœืื ืฉื™ื ืืช ื›ืœ ืžื” ืฉื”ื ืฆืจื™ื›ื™ื ืœื“ืขืช ื›ืฉื”ื ืžืฉืชืžืฉื™ื ื‘ืงื•ื“ ื”ื–ื”.

ืื– ืžื” ื‘ื“ื™ื•ืง ืžืชื›ื ืชื™ื ืฆืจื™ื›ื™ื ืœื“ืขืช ืขืœ ื—ืฉื™ื‘ื”? ืžืœื›ืชื—ื™ืœื”, ื›ืžื• ืืฆืœ ื›ื•ืœื: ืื ืืชื” ืœื ื›ื•ืชื‘, ืื– ืจืง ืœืš ื ืจืื” ืฉืืชื” ื—ื•ืฉื‘. ื›ืžื• ื›ืŸ, ืืชื” ืฆืจื™ืš ืœื—ืฉื•ื‘ ืœืคื ื™ ืฉืืชื” ืžืงื•ื“ื“, ืžื” ืฉืื•ืžืจ ืฉืืชื” ืฆืจื™ืš ืœื›ืชื•ื‘ ืœืคื ื™ ืฉืืชื” ืžืงื•ื“ื“. ืžืคืจื˜ ื”ื•ื ืžื” ืฉืื ื—ื ื• ื›ื•ืชื‘ื™ื ืœืคื ื™ ืฉืื ื—ื ื• ืžืชื—ื™ืœื™ื ื‘ืงื™ื“ื•ื“. ื™ืฉ ืฆื•ืจืš ื‘ืžืคืจื˜ ืขื‘ื•ืจ ื›ืœ ืงื•ื“ ืฉื ื™ืชืŸ ืœื”ืฉืชืžืฉ ื‘ื• ืื• ืœืฉื ื•ืช ืขืœ ื™ื“ื™ ื›ืœ ืื—ื“. ื•ื”"ืžื™ืฉื”ื•" ื”ื–ื” ืขืฉื•ื™ ืœื”ืชื‘ืจืจ ื›ืžื—ื‘ืจ ื”ืงื•ื“ ื—ื•ื“ืฉ ืœืื—ืจ ื›ืชื™ื‘ืชื•. ื™ืฉ ืฆื•ืจืš ื‘ืžืคืจื˜ ืขื‘ื•ืจ ืชื•ื›ื ื™ื•ืช ื•ืžืขืจื›ื•ืช ื’ื“ื•ืœื•ืช, ืขื‘ื•ืจ ืžื—ืœืงื•ืช, ืขื‘ื•ืจ ืžืชื•ื“ื•ืช, ื•ืœืคืขืžื™ื ืืคื™ืœื• ืขื‘ื•ืจ ื—ืœืงื™ื ืžื•ืจื›ื‘ื™ื ืฉืœ ืฉื™ื˜ื” ืื—ืช. ืžื” ื‘ื“ื™ื•ืง ืฆืจื™ืš ืœื›ืชื•ื‘ ืขืœ ื”ืงื•ื“? ืืชื” ืฆืจื™ืš ืœืชืืจ ืžื” ื–ื” ืขื•ืฉื”, ื›ืœื•ืžืจ ืžืฉื”ื• ืฉื™ื›ื•ืœ ืœื”ื™ื•ืช ืฉื™ืžื•ืฉื™ ืœื›ืœ ืžื™ ืฉืžืฉืชืžืฉ ื‘ืงื•ื“ ื”ื–ื”. ืœืคืขืžื™ื ื™ื™ืชื›ืŸ ืฉื™ื”ื™ื” ืฆื•ืจืš ื’ื ืœืฆื™ื™ืŸ ื›ื™ืฆื“ ื‘ื“ื™ื•ืง ื”ืงื•ื“ ืžืฉื™ื’ ืืช ืžื˜ืจืชื•. ืื ืขื‘ืจื ื• ืืช ื”ืฉื™ื˜ื” ื”ื–ื• ื‘ืงื•ืจืก ื”ืืœื’ื•ืจื™ืชืžื™ื, ืื– ื ืงืจื ืœื–ื” ืืœื’ื•ืจื™ืชื. ืื ื–ื” ืžืฉื”ื• ื™ื•ืชืจ ืžื™ื•ื—ื“ ื•ื—ื“ืฉ, ืื– ืื ื—ื ื• ืงื•ืจืื™ื ืœื–ื” ืขื™ืฆื•ื‘ ื‘ืจืžื” ื’ื‘ื•ื”ื”. ืื™ืŸ ื›ืืŸ ื”ื‘ื“ืœ ืคื•ืจืžืœื™: ืฉื ื™ื”ื ืžื•ื“ืœื™ื ืžื•ืคืฉื˜ื™ื ืฉืœ ื”ืชื•ื›ื ื™ืช.

ืื™ืš ื‘ื“ื™ื•ืง ื›ื“ืื™ ืœื›ืชื•ื‘ ืžืคืจื˜ ืงื•ื“? ื”ืขื™ืงืจ: ื–ื” ืฆืจื™ืš ืœื”ื™ื•ืช ื‘ืจืžื” ืื—ืช ื’ื‘ื•ื” ื™ื•ืชืจ ืžื”ืงื•ื“ ืขืฆืžื•. ืขืœื™ื• ืœืชืืจ ืžืฆื‘ื™ื ื•ื”ืชื ื”ื’ื•ื™ื•ืช. ื–ื” ืฆืจื™ืš ืœื”ื™ื•ืช ืงืคื“ื ื™ ื›ื›ืœ ืฉื”ืžืฉื™ืžื” ื“ื•ืจืฉืช. ืื ืืชื” ื›ื•ืชื‘ ืžืคืจื˜ ื›ื™ืฆื“ ืœื™ื™ืฉื ืžืฉื™ืžื”, ืื– ื–ื” ื™ื›ื•ืœ ืœื”ื™ื›ืชื‘ ื‘ืคืกืื•ื“ื•ืงื•ื“ ืื• ื‘ืืžืฆืขื•ืช PlusCal. ืืชื” ืฆืจื™ืš ืœืœืžื•ื“ ืœื›ืชื•ื‘ ืžืคืจื˜ื™ื ื‘ืืžืฆืขื•ืช ืžืคืจื˜ื™ื ืคื•ืจืžืœื™ื™ื. ื–ื” ื™ื™ืชืŸ ืœืš ืืช ื”ื›ื™ืฉื•ืจื™ื ื”ื“ืจื•ืฉื™ื ืฉื™ืขื–ืจื• ื’ื ืขื ืืœื” ืœื ืคื•ืจืžืœื™ื™ื. ืื™ืš ืืชื” ื™ื›ื•ืœ ืœืœืžื•ื“ ืœื›ืชื•ื‘ ืžืคืจื˜ื™ื ืคื•ืจืžืœื™ื™ื? ื›ืฉืœืžื“ื ื• ืœืชื›ื ืช, ื›ืชื‘ื ื• ืชื•ื›ื ื™ื•ืช ื•ืœืื—ืจ ืžื›ืŸ ื ื™ืคื•ื™ ื‘ืื’ื™ื. ืื•ืชื• ื“ื‘ืจ ื›ืืŸ: ืืชื” ืฆืจื™ืš ืœื›ืชื•ื‘ ืžืคืจื˜, ืœื‘ื“ื•ืง ืื•ืชื• ืขื ื‘ื•ื“ืง ื“ื’ืžื™ื ื•ืœืชืงืŸ ืืช ื”ืฉื’ื™ืื•ืช. TLA+ ืขืฉื•ื™ื” ืœื”ื™ื•ืช ืœื ื”ืฉืคื” ื”ื˜ื•ื‘ื” ื‘ื™ื•ืชืจ ืœืžืคืจื˜ ืจืฉืžื™, ื•ืกื‘ื™ืจ ืœื”ื ื™ื— ืฉืฉืคื” ืื—ืจืช ืชืชืื™ื ื™ื•ืชืจ ืœืฆืจื›ื™ื ื”ืกืคืฆื™ืคื™ื™ื ืฉืœืš. ื”ื“ื‘ืจ ื”ื’ื“ื•ืœ ื‘-TLA+ ื”ื•ื ืฉื”ื•ื ืขื•ืฉื” ืขื‘ื•ื“ื” ื ื”ื“ืจืช ื‘ืœื™ืžื•ื“ ื—ืฉื™ื‘ื” ืžืชืžื˜ื™ืช.

ืื™ืš ืœืงืฉืจ ื‘ื™ืŸ ืžืคืจื˜ ื•ืงื•ื“? ืฉื™ืžื•ืฉ ื‘ื”ืขืจื•ืช ื”ืžืงืฉืจื•ืช ื‘ื™ืŸ ืžื•ืฉื’ื™ื ืžืชืžื˜ื™ื™ื ื•ืžื™ืžื•ืฉื. ืื ืืชื” ืขื•ื‘ื“ ืขื ื’ืจืคื™ื, ืื– ื‘ืจืžืช ื”ืชื•ื›ื ื™ืช ื™ื”ื™ื• ืœืš ืžืขืจื›ื™ื ืฉืœ ืฆืžืชื™ื ื•ืžืขืจื›ื™ื ืฉืœ ืงื™ืฉื•ืจื™ื. ืื– ืืชื” ืฆืจื™ืš ืœื›ืชื•ื‘ ืื™ืš ื‘ื“ื™ื•ืง ื”ื’ืจืฃ ืžื™ื•ืฉื ืขืœ ื™ื“ื™ ืžื‘ื ื™ ื”ืชื›ื ื•ืช ื”ืืœื”.

ื™ืฉ ืœืฆื™ื™ืŸ ืฉืืฃ ืื—ื“ ืžื”ืืžื•ืจ ืœืขื™ืœ ืื™ื ื• ื—ืœ ืขืœ ืชื”ืœื™ืš ื›ืชื™ื‘ืช ื”ืงื•ื“ ืขืฆืžื•. ื›ืฉื›ื•ืชื‘ื™ื ืงื•ื“, ื›ืœื•ืžืจ ืžื‘ืฆืขื™ื ืืช ื”ืฉืœื‘ ื”ืฉืœื™ืฉื™, ืฆืจื™ืš ื’ื ืœื—ืฉื•ื‘ ื•ืœื—ืฉื•ื‘ ื“ืจืš ื”ืชื•ื›ื ื™ืช. ืื ืชืช-ืžื˜ืœื” ืžืชื‘ืจืจืช ื›ืžื•ืจื›ื‘ืช ืื• ืœื ื‘ืจื•ืจื”, ืขืœื™ืš ืœื›ืชื•ื‘ ืœื” ืžืคืจื˜. ืื‘ืœ ืื ื™ ืœื ืžื“ื‘ืจ ื›ืืŸ ืขืœ ื”ืงื•ื“ ืขืฆืžื•. ืืชื” ื™ื›ื•ืœ ืœื”ืฉืชืžืฉ ื‘ื›ืœ ืฉืคืช ืชื›ื ื•ืช, ื‘ื›ืœ ืžืชื•ื“ื•ืœื•ื’ื™ื”, ื–ื” ืœื ืงืฉื•ืจ ืืœื™ื”ื. ื›ืžื• ื›ืŸ, ืืฃ ืื—ื“ ืžื”ืืžื•ืจ ืœืขื™ืœ ืœื ืžื‘ื˜ืœ ืืช ื”ืฆื•ืจืš ืœื‘ื“ื•ืง ื•ืœืชืงืŸ ื‘ืื’ื™ื ื‘ืงื•ื“ ืฉืœืš. ื’ื ืื ื”ืžื•ื“ืœ ื”ืžื•ืคืฉื˜ ื›ืชื•ื‘ ื ื›ื•ืŸ, ืขืœื•ืœื™ื ืœื”ื™ื•ืช ื‘ืื’ื™ื ื‘ื™ื™ืฉื•ื ืฉืœื•.

ื›ืชื™ื‘ืช ืžืคืจื˜ื™ื ื”ื™ื ืฉืœื‘ ื ื•ืกืฃ ื‘ืชื”ืœื™ืš ื”ืงื™ื“ื•ื“. ื‘ื–ื›ื•ืชื• ื ื™ืชืŸ ืœืชืคื•ืก ืฉื’ื™ืื•ืช ืจื‘ื•ืช ื‘ืคื—ื•ืช ืžืืžืฅ โ€“ ืื ื• ื™ื•ื“ืขื™ื ื–ืืช ืžื ื™ืกื™ื•ื ื ืฉืœ ืžืชื›ื ืชื™ื ืžืืžื–ื•ืŸ. ืขื ืžืคืจื˜ื™ื, ืื™ื›ื•ืช ื”ืชื•ื›ื ื™ื•ืช ื”ื•ืคื›ืช ื’ื‘ื•ื” ื™ื•ืชืจ. ืื– ืœืžื” ืื ื›ืŸ ืื ื—ื ื• ื”ื•ืœื›ื™ื ื›ืœ ื›ืš ื”ืจื‘ื” ื‘ืœืขื“ื™ื”ื? ื›ื™ ื”ื›ืชื™ื‘ื” ื”ื™ื ืงืฉื”. ืื‘ืœ ื”ื›ืชื™ื‘ื” ืงืฉื”, ื›ื™ ื‘ืฉื‘ื™ืœ ื–ื” ืฆืจื™ืš ืœื—ืฉื•ื‘, ื•ื’ื ืœื—ืฉื•ื‘ ืงืฉื”. ืชืžื™ื“ ืงืœ ื™ื•ืชืจ ืœื”ืขืžื™ื“ ืคื ื™ื ืฉืืชื” ื—ื•ืฉื‘. ื ื™ืชืŸ ืœืฉืจื˜ื˜ ื›ืืŸ ืื ืœื•ื’ื™ื” ืœืจื™ืฆื” - ื›ื›ืœ ืฉืืชื” ืจืฅ ืคื—ื•ืช, ืืชื” ืจืฅ ืœืื˜ ื™ื•ืชืจ. ืืชื” ืฆืจื™ืš ืœืืžืŸ ืืช ื”ืฉืจื™ืจื™ื ื•ืœืชืจื’ืœ ื›ืชื™ื‘ื”. ื–ื” ื“ื•ืจืฉ ืชืจื’ื•ืœ.

ื™ื™ืชื›ืŸ ืฉื”ืžืคืจื˜ ืฉื’ื•ื™. ื™ื™ืชื›ืŸ ืฉืขืฉื™ืช ื˜ืขื•ืช ืื™ืคืฉื”ื•, ืื• ืฉื”ื“ืจื™ืฉื•ืช ื”ืฉืชื ื•, ืื• ืฉื™ืฉ ืฆื•ืจืš ืœื‘ืฆืข ืฉื™ืคื•ืจ. ื™ืฉ ืœืฉื ื•ืช ื›ืœ ืงื•ื“ ืฉืžื™ืฉื”ื• ืžืฉืชืžืฉ ื‘ื•, ื›ืš ืฉื‘ืžื•ืงื“ื ืื• ื‘ืžืื•ื—ืจ ื”ืžืคืจื˜ ืœื ื™ืชืื™ื ื™ื•ืชืจ ืœืชื•ื›ื ื™ืช. ื‘ืื•ืคืŸ ืื™ื“ื™ืืœื™, ื‘ืžืงืจื” ื–ื”, ืขืœื™ืš ืœื›ืชื•ื‘ ืžืคืจื˜ ื—ื“ืฉ ื•ืœืฉื›ืชื‘ ืœื—ืœื•ื˜ื™ืŸ ืืช ื”ืงื•ื“. ืื ื—ื ื• ื™ื•ื“ืขื™ื ื”ื™ื˜ื‘ ืฉืืฃ ืื—ื“ ืœื ืขื•ืฉื” ืืช ื–ื”. ื‘ืคื•ืขืœ, ืื ื—ื ื• ืžืชืงื ื™ื ืืช ื”ืงื•ื“ ื•ืื•ืœื™ ืžืขื“ื›ื ื™ื ืืช ื”ืžืคืจื˜. ืื ื–ื” ื—ื™ื™ื‘ ืœืงืจื•ืช ื‘ืžื•ืงื“ื ืื• ื‘ืžืื•ื—ืจ, ืื– ืœืžื” ื‘ื›ืœืœ ืœื›ืชื•ื‘ ืžืคืจื˜ื™ื? ืจืืฉื™ืช, ืœืžื™ ืฉื™ืขืจื•ืš ืืช ื”ืงื•ื“ ืฉืœืš, ื›ืœ ืžื™ืœื” ื ื•ืกืคืช ื‘ืžืคืจื˜ ืชื”ื™ื” ืฉื•ื•ื” ื–ื”ื‘, ื•ื™ืชื›ืŸ ืฉื”ืื“ื ื”ื–ื” ื”ื•ื ืืชื”. ืœืขืชื™ื ืงืจื•ื‘ื•ืช ืื ื™ ื‘ื•ืขื˜ ื‘ืขืฆืžื™ ืขืœ ื–ื” ืฉืื ื™ ืœื ืžืกืคื™ืง ืกืคืฆื™ืคื™ ื›ืฉืื ื™ ืขื•ืจืš ืืช ื”ืงื•ื“ ืฉืœื™. ื•ืื ื™ ื›ื•ืชื‘ ื™ื•ืชืจ ืžืคืจื˜ื™ื ืžืืฉืจ ืงื•ื“. ืœื›ืŸ, ื›ืืฉืจ ืืชื” ืขื•ืจืš ืืช ื”ืงื•ื“, ืชืžื™ื“ ืฆืจื™ืš ืœืขื“ื›ืŸ ืืช ื”ืžืคืจื˜. ืฉื ื™ืช, ืขื ื›ืœ ืขืจื™ื›ื” ื”ืงื•ื“ ื ืขืฉื” ื’ืจื•ืข ื™ื•ืชืจ, ื”ื•ื ื”ื•ืคืš ืœื”ื™ื•ืช ืงืฉื” ื™ื•ืชืจ ืœืงืจื™ืื” ื•ืœืชื—ื–ื•ืงื”. ื–ื•ื”ื™ ืขืœื™ื™ื” ื‘ืื ื˜ืจื•ืคื™ื”. ืื‘ืœ ืื ืœื ืชืชื—ื™ืœ ืขื ืžืคืจื˜, ืื– ื›ืœ ืฉื•ืจื” ืฉืชื›ืชื•ื‘ ืชื”ื™ื” ืขืจื™ื›ื”, ื•ื”ืงื•ื“ ื™ื”ื™ื” ืžื’ื•ืฉื ื•ืงืฉื” ืœืงืจื™ืื” ืžื”ื”ืชื—ืœื”.

ื›ืืžื•ืจ ืื™ื™ื–ื ื”ืื•ืืจ, ืฉื•ื ืงืจื‘ ืœื ื ื™ืฆื— ืขืœ ืคื™ ืชื•ื›ื ื™ืช, ื•ืฉื•ื ืงืจื‘ ืœื ื ื™ืฆื— ื‘ืœื™ ืชื•ื›ื ื™ืช. ื•ื”ื•ื ื™ื“ืข ืžืฉื”ื• ืขืœ ืงืจื‘ื•ืช. ื™ืฉ ื“ืขื” ืฉื›ืชื™ื‘ืช ืžืคืจื˜ื™ื ื–ื” ื‘ื–ื‘ื•ื– ื–ืžืŸ. ืœืคืขืžื™ื ื–ื” ื ื›ื•ืŸ, ื•ื”ืžืฉื™ืžื” ื›ืœ ื›ืš ืคืฉื•ื˜ื” ืฉืื™ืŸ ื˜ืขื ืœื—ืฉื•ื‘ ืขืœื™ื”. ืื‘ืœ ืชืžื™ื“ ืฆืจื™ืš ืœื–ื›ื•ืจ ืฉื›ืืฉืจ ืžืžืœื™ืฆื™ื ืœืš ืœื ืœื›ืชื•ื‘ ืžืคืจื˜ื™ื, ื–ื” ืื•ืžืจ ืฉืžื•ืžืœืฅ ืœืš ืœื ืœื—ืฉื•ื‘. ื•ืืชื” ืฆืจื™ืš ืœื—ืฉื•ื‘ ืขืœ ื–ื” ื›ืœ ืคืขื. ื—ืฉื™ื‘ื” ืขืœ ืžืฉื™ืžื” ืื™ื ื” ืžื‘ื˜ื™ื—ื” ืฉืœื ืชืขืฉื” ื˜ืขื•ื™ื•ืช. ื›ื™ื“ื•ืข, ืืฃ ืื—ื“ ืœื ื”ืžืฆื™ื ืฉืจื‘ื™ื˜ ืงืกืžื™ื, ื•ืชื›ื ื•ืช ื”ื™ื ืžืฉื™ืžื” ืงืฉื”. ืื‘ืœ ืื ืœื ืชื—ืฉื•ื‘ ืขืœ ื”ืžืฉื™ืžื”, ืžื•ื‘ื˜ื— ืœืš ืฉืชืขืฉื” ื˜ืขื•ื™ื•ืช.

ืชื•ื›ืœื• ืœืงืจื•ื ืขื•ื“ ืขืœ TLA+ ื•-PlusCal ื‘ืืชืจ ืžื™ื•ื—ื“, ืœืฉื ืชื•ื›ืœื• ืœื”ื’ื™ืข ืžืขืžื•ื“ ื”ื‘ื™ืช ืฉืœื™ ะฟะพ ััั‹ะปะบะต. ื–ื” ื”ื›ืœ ื‘ืฉื‘ื™ืœื™, ืชื•ื“ื” ืขืœ ืชืฉื•ืžืช ื”ืœื‘.

ืื ื ื–ื›ืจื• ืฉื–ื”ื• ืชืจื’ื•ื. ื›ืืฉืจ ืืชื” ื›ื•ืชื‘ ื”ืขืจื•ืช, ื–ื›ื•ืจ ืฉื”ื›ื•ืชื‘ ืœื ื™ืงืจื ืื•ืชืŸ. ืื ืืชื” ื‘ืืžืช ืจื•ืฆื” ืœืฉื•ื—ื— ืขื ื”ืžื—ื‘ืจ, ื”ื•ื ื™ื”ื™ื” ื‘ื›ื ืก ื”ื™ื“ืจื” 2019, ืฉื™ืชืงื™ื™ื ื‘-11-12 ื‘ื™ื•ืœื™ 2019 ื‘ืกื ื˜ ืคื˜ืจืกื‘ื•ืจื’. ื ื™ืชืŸ ืœืจื›ื•ืฉ ื›ืจื˜ื™ืกื™ื ื‘ืืชืจ ื”ืจืฉืžื™.

ืžืงื•ืจ: www.habr.com

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