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Ìýäýýëëèéí ñèñòåì, àëãîðèòìèéí ¿íäýñ   Ëåêö ¹12
Àãóóëãà 1. Òýìýãòýí õ¿ñíýãò  2.ªãºãäëèéí òºðºë 3.Áè÷ëýã 4.Áè÷ëýã òºðëèéí õ¿ñíýãò
Òýìäýãòýí õ¿ñíýãò ¯ñýã, öèôð, öýã òýìäýã ãýõ ìýò  áè÷èãäýæ ä¿ðñëýãääýã. òýìäýãò¿¿äèéí äàðààëëûã  áè÷âýð   áóþó  òåêñò  õýìæèãäýõ¿¿í ãýæ íýðëýäýã.
Èéì õýìæèãäýõ¿¿íèé óòãûã òýìäýãò¿¿äèéí êîäûí äàðààëàë õýëáýðòýé ñàíàõ îéí äýñ äàðààëëàñàí ¿¿ðò õàäãàëæ áîëîâñðóóëäàã. Áè÷âýðèéã òåêñò ãýñýí ò¿ëõ¿¿ð ¿ãýýð   òåêñò íýð;   ãýñýí åðºíõèé õýëáýðòýé òîäîðõîéëæ áè÷íý.
Õýðýâ òåêñò õýìæèãäýõ¿¿íèéã òîãòìîë óðòòàé òîäîðõîéëîõ øààðäëàãàòàé áîë òîîí õ¿ñíýãòòýé òºñòýé   òåêñò íýð(óðò); õýëáýðòýé òîäîðõîéëæ áè÷èæ áîëíî. Æèøýý íü: òåêñò reg(10), ner(20);
Òåêñò õýìæèãäýõ¿¿íèé óòãûí óðò áóþó  òýìäýãò¿¿äèéí òîîã çºâ ìýäýæ óëìààð çºâ áîëîâñðóóëàõûí òóëä:  1. Áè÷âýðèéí óðòûã õ¿ñíýãòèéí íýãä¿ãýýð  ýëåìåíò áîëãîí õàäãàëàõ 2. Óòãàò òýìäýãò¿¿äèéí àðä º.õ áè÷âýðèéí  òºãñòºëä òýã (0) êîäûã áè÷èæ òºãñãºëèéã òýìäýãëýõ ãýñýí õî¸ð àðãûã ãîëäóó õýðýãëýäýã.
Æèøýý: Ýõëýë áà òºãñãºëººñºº èæèë óíøèãääàã áè÷âýðèéã ïîëèíäðîì ãýæ íýðëýäýã áîë ºãºãäñºí áè÷âýð ïîëèíäðîì ýñýõèéã òîãòîî. àëã æ_3 òåêñò s, r; îðóóë (s); i:=1;
si<>0 áîë_äàâò i:=i+1;  len:=i-1; i:=1,len ¿åä_äàâò ri:=0;   Õýðýâ r=s áîë r:=‘ïîëèíäðîì ìºí’   r:=‘ïîëèíäðîì áèø’    Ãàðãà (s,r) Òºãñ.
ªãºãäëèéí òºðºë Àëãîðèòìä õýðýãëýæ áàéãàà õýìæèãäýõ¿¿í á¿ðèéí õóâüä óã õýìæèãäýõ¿¿í ÿìàð òºðëèéí óòãà àâàõ ¸ñòîéã òîäîðõîéëæ ºãºõ øààðäëàãàòàé. Ó÷èð íü õýìæèãäýõ¿¿íèé àâàõ óòãûã òîäîðõîéëæ ºãñºíººð
[object Object],[object Object]
[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object]
Áè÷ëýã Íýã èæèë ýñâýë ÿëãààòàé òºðëèéí íýãýýñ îëîí òîîíû ºãºãä뺺ñ òîãòñîí óòãàòàé õýìæèãäýõ¿¿íèéã òîäîðõîéîõ òºðëèéã  íèéëìýë   òºðºë  ãýíý.
ßëãààòàé òºðëèéí (òóõàéí òîõèîëäîëä èæèë òºðëèéí áàéæ áîëîõ ) õýä õýäýí óòãààñ òîãòñîí õýìæèãäýõ¿¿íèéã òîäîðõîéëîõ íèéëìýë òºðëèéã áè÷ëýã ãæ íýðëýõ áºãººä áè÷ëýãèéã á¿ðä¿¿ëýõ ýëåìåíò¿¿äèéã ò¿¿íèé òàëáàð ãýæ íýðëýíý.
Áè÷ëýãèéí òàëáàðóóä íü ÿëãààòàé òºðëèéí, º,õ. ÿëãààòàé óðòòàé áàéõ ó÷ðààñ õ¿ñíýãòòýé àäèë ýëåìåíòèéã äóãààðààð íü òîäîðõîéëîõ áîëîìæã¿é áàéäàã îíöëîãòîé.
Èéì áè÷ëýãèéí òàëáàðóóäûã õîîðîíä íü ÿëãàæ òîäîðõîé òàëáàðò õàíäàõ áîëîìæèéã õàíãàõûí òóëä òàëáàðûã åðäèéí õóâüñàã÷òàé àäèë íýðëæ ìºí óã òàëáàðûí óòãûí òºðëèéã çààæ ºãºõ àðãûã õýðýãëýäýã.
Áèä áè÷ëýãèéã äàðààõ åðºíõèé õýëáýðòýé òîäîðõîéëæ áè÷íý: áè÷ëýã  áè÷ëýã_òºðºë  {  òºðºë_1 òàëáàð_1;     òºðºë_2 òàëáàð_2;    …  …    òºðºë_n òàëáàð_n;  } ;
¯¿íä áè÷ëýã íü ò¿ëõ¿¿ð ¿ã; áè÷ëýã_òºðºë-óã òºðëèéã ÿëãàæ àëãîðèòì, ïðîãðàì çîõèîã÷èéí ºãºõ íýð; òàëáàð_1 áà òºðºë_1 íü õàðãàëçàõ òàëáàðûí íýð áà óòãûí òºðëèéã çààñàí òºðºë, ãýõ ìýò õàðãàëçàí õàìãèéí ñ¿¿ë÷èéí òàëáàðûí íýð, óòãûí òºðºë áàéíà.
Áè÷ëýãèéã òîäîðõîéëîõîä ò¿¿íèé òàëáàðóóäûã íýã á¿ð÷ëýí òîî÷èí íýðëýæ áàñ òºðëèéã íü çààæ ºã÷ áàéãàà ó÷ðààñ õàðüöàíãóé öººõºí òàëáàðòàé áàéõ ¿åä áè÷ëýãèéã õýðýãëýõ íü òîõèðîìæòîé.
Áè÷ëýã íü áîäèò, á¿õýë, íàò, áóëü, òýìäýãò ãýñýí ýíãèéí òºðºëòýé àäèëõàí, õýìæèãäýõ¿¿íèéã òîäîðõîéëîõîä àøèãëàõ òºðºë áîëíî. Èéì òºðëèéí õýìæèãäýõ¿¿íèéã àøèãëàõûí òóëä  áè÷ëýã_òºðºë õóâüñàã÷_1,õóâüñàã÷_2,…,õóâüñàã÷_n;  ãýñýí åðºíõèé õýëáýðòýé áè÷èæ òîäîðõîéëíî.
Òîäîðõîé òºðëèéí ýëåìåíò íü õ¿ñíýãòèéí íýð, óã ýëåìåíòèéí èíäåêñ õî¸ðîîð íýãýí óòãàòàé òîäîðõîéëîãääîã. Áè÷ëýã òºðëèéí õóâüñàã÷èéí õóüä òàëáàð íü äóãààðààð áèø õàðèí íýðýýð ÿëãàãääàã. Áè÷ëýã õóâüñàã÷èéí òàëáàð íü õóâüñàã÷èéí íýð áîëîí òàëáàðûí íýð õî¸ðîîð òîäîðõîéëîãäîíî.
Òîäîðõîé õóâüñàã÷èéí òàëáàðò õàíäàæ óòãà îëãîõ, óòãûã íü óíøèõûí òóëä óã õóâüñàã÷èéí íýð, øààðäëàãàòàé òàëáàðûí íýð õî¸ðûã öýãýýð õîëáîíî. áè÷ëýã_õóâüñàã÷.òàëáàð_íýð
Õýðýâ íýã èæèë áè÷ëýãèéí õî¸ð õóâüñàã÷ òîäîðõîéëîãäñîí áàéâàë óòãàòàé áàéãàà íýã õóâüñàã÷èéíõ íü óòãûã íºãººä îëãîõ ¿éëäëèéã øóóä  õóâüñàã÷_1: =õóâüñàã÷_2 ;   õýëáýðòýé áè÷èæ áîëíî.
Áè÷ëýã òºðëèéí õ¿ñíýãò Ýëåìåíò íü áè÷ëýã áàéõ õ¿ñíýãòèéã õýðýãëýõ øààðäëàãà ãàðäàã. Òîäîðõîé òºðëèéí ýëåìåíòòýé õ¿ñíýãòèéã òîäîðõîéëîõäîî òºðºë   õ¿ñíýãò  íýð(õýìæýýñ) ;
ãýñýí òîäîðõîéëîõ ìºðèéã áè÷äýã. ͺ㺺 òàëààñ áè÷ëýãèéí øèíý ìºð áîëãîí òîäîðõîéëäîã ó÷ðààñ áè÷ëýã òºðëèéí ýëåìåíòòýé õ¿ñíýãòèéã äýýðõòýé ÿã èæèë  áè÷ëýã_òºðºë   õ¿ñíýãò  íýð(õýìæýýñ) ;  õýëáýðòýé áè÷íý.

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  • 2. Àãóóëãà 1. Òýìýãòýí õ¿ñíýãò 2.ªãºãäëèéí òºðºë 3.Áè÷ëýã 4.Áè÷ëýã òºðëèéí õ¿ñíýãò
  • 3. Òýìäýãòýí õ¿ñíýãò ¯ñýã, öèôð, öýã òýìäýã ãýõ ìýò áè÷èãäýæ ä¿ðñëýãääýã. òýìäýãò¿¿äèéí äàðààëëûã áè÷âýð áóþó òåêñò õýìæèãäýõ¿¿í ãýæ íýðëýäýã.
  • 4. Èéì õýìæèãäýõ¿¿íèé óòãûã òýìäýãò¿¿äèéí êîäûí äàðààëàë õýëáýðòýé ñàíàõ îéí äýñ äàðààëëàñàí ¿¿ðò õàäãàëæ áîëîâñðóóëäàã. Áè÷âýðèéã òåêñò ãýñýí ò¿ëõ¿¿ð ¿ãýýð òåêñò íýð; ãýñýí åðºíõèé õýëáýðòýé òîäîðõîéëæ áè÷íý.
  • 5. Õýðýâ òåêñò õýìæèãäýõ¿¿íèéã òîãòìîë óðòòàé òîäîðõîéëîõ øààðäëàãàòàé áîë òîîí õ¿ñíýãòòýé òºñòýé òåêñò íýð(óðò); õýëáýðòýé òîäîðõîéëæ áè÷èæ áîëíî. Æèøýý íü: òåêñò reg(10), ner(20);
  • 6. Òåêñò õýìæèãäýõ¿¿íèé óòãûí óðò áóþó òýìäýãò¿¿äèéí òîîã çºâ ìýäýæ óëìààð çºâ áîëîâñðóóëàõûí òóëä: 1. Áè÷âýðèéí óðòûã õ¿ñíýãòèéí íýãä¿ãýýð ýëåìåíò áîëãîí õàäãàëàõ 2. Óòãàò òýìäýãò¿¿äèéí àðä º.õ áè÷âýðèéí òºãñòºëä òýã (0) êîäûã áè÷èæ òºãñãºëèéã òýìäýãëýõ ãýñýí õî¸ð àðãûã ãîëäóó õýðýãëýäýã.
  • 7. Æèøýý: Ýõëýë áà òºãñãºëººñºº èæèë óíøèãääàã áè÷âýðèéã ïîëèíäðîì ãýæ íýðëýäýã áîë ºãºãäñºí áè÷âýð ïîëèíäðîì ýñýõèéã òîãòîî. àëã æ_3 òåêñò s, r; îðóóë (s); i:=1;
  • 8. si<>0 áîë_äàâò i:=i+1; len:=i-1; i:=1,len ¿åä_äàâò ri:=0; Õýðýâ r=s áîë r:=‘ïîëèíäðîì ìºí’ r:=‘ïîëèíäðîì áèø’ Ãàðãà (s,r) Òºãñ.
  • 9. ªãºãäëèéí òºðºë Àëãîðèòìä õýðýãëýæ áàéãàà õýìæèãäýõ¿¿í á¿ðèéí õóâüä óã õýìæèãäýõ¿¿í ÿìàð òºðëèéí óòãà àâàõ ¸ñòîéã òîäîðõîéëæ ºãºõ øààðäëàãàòàé. Ó÷èð íü õýìæèãäýõ¿¿íèé àâàõ óòãûã òîäîðõîéëæ ºãñºíººð
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. Áè÷ëýã Íýã èæèë ýñâýë ÿëãààòàé òºðëèéí íýãýýñ îëîí òîîíû ºãºãä뺺ñ òîãòñîí óòãàòàé õýìæèãäýõ¿¿íèéã òîäîðõîéîõ òºðëèéã íèéëìýë òºðºë ãýíý.
  • 16. ßëãààòàé òºðëèéí (òóõàéí òîõèîëäîëä èæèë òºðëèéí áàéæ áîëîõ ) õýä õýäýí óòãààñ òîãòñîí õýìæèãäýõ¿¿íèéã òîäîðõîéëîõ íèéëìýë òºðëèéã áè÷ëýã ãæ íýðëýõ áºãººä áè÷ëýãèéã á¿ðä¿¿ëýõ ýëåìåíò¿¿äèéã ò¿¿íèé òàëáàð ãýæ íýðëýíý.
  • 17. Áè÷ëýãèéí òàëáàðóóä íü ÿëãààòàé òºðëèéí, º,õ. ÿëãààòàé óðòòàé áàéõ ó÷ðààñ õ¿ñíýãòòýé àäèë ýëåìåíòèéã äóãààðààð íü òîäîðõîéëîõ áîëîìæã¿é áàéäàã îíöëîãòîé.
  • 18. Èéì áè÷ëýãèéí òàëáàðóóäûã õîîðîíä íü ÿëãàæ òîäîðõîé òàëáàðò õàíäàõ áîëîìæèéã õàíãàõûí òóëä òàëáàðûã åðäèéí õóâüñàã÷òàé àäèë íýðëæ ìºí óã òàëáàðûí óòãûí òºðëèéã çààæ ºãºõ àðãûã õýðýãëýäýã.
  • 19. Áèä áè÷ëýãèéã äàðààõ åðºíõèé õýëáýðòýé òîäîðõîéëæ áè÷íý: áè÷ëýã áè÷ëýã_òºðºë { òºðºë_1 òàëáàð_1; òºðºë_2 òàëáàð_2; … … òºðºë_n òàëáàð_n; } ;
  • 20. ¯¿íä áè÷ëýã íü ò¿ëõ¿¿ð ¿ã; áè÷ëýã_òºðºë-óã òºðëèéã ÿëãàæ àëãîðèòì, ïðîãðàì çîõèîã÷èéí ºãºõ íýð; òàëáàð_1 áà òºðºë_1 íü õàðãàëçàõ òàëáàðûí íýð áà óòãûí òºðëèéã çààñàí òºðºë, ãýõ ìýò õàðãàëçàí õàìãèéí ñ¿¿ë÷èéí òàëáàðûí íýð, óòãûí òºðºë áàéíà.
  • 21. Áè÷ëýãèéã òîäîðõîéëîõîä ò¿¿íèé òàëáàðóóäûã íýã á¿ð÷ëýí òîî÷èí íýðëýæ áàñ òºðëèéã íü çààæ ºã÷ áàéãàà ó÷ðààñ õàðüöàíãóé öººõºí òàëáàðòàé áàéõ ¿åä áè÷ëýãèéã õýðýãëýõ íü òîõèðîìæòîé.
  • 22. Áè÷ëýã íü áîäèò, á¿õýë, íàò, áóëü, òýìäýãò ãýñýí ýíãèéí òºðºëòýé àäèëõàí, õýìæèãäýõ¿¿íèéã òîäîðõîéëîõîä àøèãëàõ òºðºë áîëíî. Èéì òºðëèéí õýìæèãäýõ¿¿íèéã àøèãëàõûí òóëä áè÷ëýã_òºðºë õóâüñàã÷_1,õóâüñàã÷_2,…,õóâüñàã÷_n; ãýñýí åðºíõèé õýëáýðòýé áè÷èæ òîäîðõîéëíî.
  • 23. Òîäîðõîé òºðëèéí ýëåìåíò íü õ¿ñíýãòèéí íýð, óã ýëåìåíòèéí èíäåêñ õî¸ðîîð íýãýí óòãàòàé òîäîðõîéëîãääîã. Áè÷ëýã òºðëèéí õóâüñàã÷èéí õóüä òàëáàð íü äóãààðààð áèø õàðèí íýðýýð ÿëãàãääàã. Áè÷ëýã õóâüñàã÷èéí òàëáàð íü õóâüñàã÷èéí íýð áîëîí òàëáàðûí íýð õî¸ðîîð òîäîðõîéëîãäîíî.
  • 24. Òîäîðõîé õóâüñàã÷èéí òàëáàðò õàíäàæ óòãà îëãîõ, óòãûã íü óíøèõûí òóëä óã õóâüñàã÷èéí íýð, øààðäëàãàòàé òàëáàðûí íýð õî¸ðûã öýãýýð õîëáîíî. áè÷ëýã_õóâüñàã÷.òàëáàð_íýð
  • 25. Õýðýâ íýã èæèë áè÷ëýãèéí õî¸ð õóâüñàã÷ òîäîðõîéëîãäñîí áàéâàë óòãàòàé áàéãàà íýã õóâüñàã÷èéíõ íü óòãûã íºãººä îëãîõ ¿éëäëèéã øóóä õóâüñàã÷_1: =õóâüñàã÷_2 ; õýëáýðòýé áè÷èæ áîëíî.
  • 26. Áè÷ëýã òºðëèéí õ¿ñíýãò Ýëåìåíò íü áè÷ëýã áàéõ õ¿ñíýãòèéã õýðýãëýõ øààðäëàãà ãàðäàã. Òîäîðõîé òºðëèéí ýëåìåíòòýé õ¿ñíýãòèéã òîäîðõîéëîõäîî òºðºë õ¿ñíýãò íýð(õýìæýýñ) ;
  • 27. ãýñýí òîäîðõîéëîõ ìºðèéã áè÷äýã. ͺ㺺 òàëààñ áè÷ëýãèéí øèíý ìºð áîëãîí òîäîðõîéëäîã ó÷ðààñ áè÷ëýã òºðëèéí ýëåìåíòòýé õ¿ñíýãòèéã äýýðõòýé ÿã èæèë áè÷ëýã_òºðºë õ¿ñíýãò íýð(õýìæýýñ) ; õýëáýðòýé áè÷íý.