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Семинарын ажил №3. 5-р баг.
Д.Цэгмид /D.SE11D001
Д.Одсэлмаа /D.SE11D002/
Д.Оюунтунгалаг /D.SE11D019/
Г.Ариунбат /D.SE11D415/
3.6. Хавтгай газрын зургийг хөрш хоёр муж ижил өнгөтэй байхааргүйгээр бодож 4 өнгө ашиглан буд. Анхны төлөв | Өнгөгүй байх | Зорилго | Бүх муж будагдсан, хөрш мужууд өөр өөр өнгөтэй. | Гүйцэтгэх функц | * Хэрвээ салангид муж орсон байвалБиелэхгүй * Салангид биш бол * Four color theorem“Салангид биш мужуудаар хуваагдсан хавтгайг, хөрш мужууд ижил өнгөгүй байхаар будахад хамгийн багадаа 4 өнгө хүрэлцэнэ ” * Spiral chain coloring algorithm/http://en.wikipedia.org/wiki/Four_color_theorem/ | Зардал | Мужуудын тоо |

B. 3 foot өндөр сармагчин 8 foot өндөр таазнааас дүүжлэгдсэн гадилтай өрөөнд байв. Өрөөнд мөн зөөж, давхраар нь өрж болохуйц 3 foot өндөр хоёр хайрцаг байгаа бол сармагчинд гадилыг авахад тусал. Анхны төлөв | Гадил таазанд байх. | Зорилго | Сармагчинд гадил авсан байх. | Гүйцэтгэх функц | * Хайрцгуудыг давхарлаж өр * Гадилтай харгалзах газарт түрж аваач * Давхарласан хайрцган дээр авир. * Гадил ав. | Зардал | Нийт үйл хөдлөлийн тоо. |

C. Тодорхой тооны бичлэг оруулсны дараа “Алдаатай бичлэг” гэсэн анхааруулга өгдөг програм байв. Бичлэг бүр бие биенээсээ салангид бол алдаатай ганц бичлэгийг ол. Анхны төлөв | N тооны бичлэг байх. | Зорилго | 1 бичлэгийг N удаа оруулахад алдаа өгөх. | Гүйцэтгэх функц | Нийт бичлэгийг интервал гэж үзээдК = 2; Рекүрсив * Эхний хагасыг К удаа шалгана. * Хэрвээ алдаа гарвал Рекүрсив эхлүүлК++ * Алдаагүй бол сүүлийн хагасд Рекүрсив эхлүүлК++ | Зардал | К-1 * N |

D. 12, 8, 3 галлон хэмжээтэй савнууд ашиглан усан сангаас 1 галлон ус хэмжиж ав. Анхны төлөв | Савнууд хоосон, Усан сан дүүрэн байх | Зорилго | Аль нэг саванд 1 галлон ус үлдсэн байх | Гүйцэтгэх функц | * 8-ын саваар ус хутгаж 12 руу хийнэ. * 3-ын саваар ус хутгаж 12 руу хийнэ. * 3-ын саваар ус хутгаж 12 руу хийнэ(3-ын саванд 2 галлон үлдэнэ.) * 12-ын савыг хоослоно. * 8-ын саваар ус хутгаж 12 руу хийнэ. * 3-ын савтай 2 галлоныг 12 руу хийнэ. * 3-ын саваар ус хутгаж 12 руу хийнэ * 3-ын саванд 1 галлон ус үлдэнэ. | Зардал | 8 үйлдэл |

3.9. Санваартан болон махчингуудын бодлого нь ихэвчлэн дараах байдлаар тавигддаг:
- Гурван номлогч ба гурван махчид завийн хамт голын эргийн нэг талд байх ба завиар зөвхөн нэг эсвэл хоёр хүн явж болно. Аль нэг талд махчидийн тоо номлогчдийн тооноос давамгайлахгүй байхаар бүх хүнийг нөгөө талд гаргах замыг ол.

Зураг 1. Бодлогын шийдийг олох зураг
Давтагдсан төлөвийг шалгахад хайлтын тохирсон хайлтын алгоритм ашиглах нь зөв үү?
- Зөв. Учир нь аль нэг төлөв нь тохиолдоод анхны төлөврүүгээ давтан үргэлжлэнэ. Харин хайлтын хэмжээ нь бага учир бид оновчтой хайлтыг ашиглана.
Та яагаад хүмүүс үүнийг бодоход хэцүү гэж бодож байна вэ?
- Ихэнх хөдөлгөөн нь зүй бус учраас энэхүү бодлогыг шийдэхэд хүмүүст хэцүү байдаг.

3.10. Дараах нэр томьёог өөрийн үгээр тайлбарла.
State – (Төлөв)нь агентийн өөрийн хийж болон олж чадах үйлдлийн дүрслэл. Төлөв нь үйлдлүүдийн үр нөлөөг урьдчилан таамаглах бөгөөд энэ нь зорилгын төлөв эсэхийг тодорхойлохын тулд шаардлагатай бүх мэдээллийг агуулдаг.
State space – (хайлтын орон зай) нь граф ба түүний зангилаанууд нь бүх төлвүүдийн олонлогийг агуулж, түүний холбоос нь нэг төлвөөс нөгөө рүү шилжих үйлдлүүдийг заана. Анхдагч төлөв, үйлдлүүд, шилжилтийн загвар нь цаад утгаараа хайлтын орон зайг тодорхойлдог. Тасралттай динамик системд боловсруулж болох утгуудын олонлогийг хэлнэ.
Search tree – (хайлтын мод) – Боломжит үйлдлүүдийн дараалаллын анхны төлөв нь модны үндэс дээр байрлаад, зангилаа нь бодлогын хайлтын орон зай дахь төлвүүдтэй нийцэж ажилладаг өгөглийн бүтцийг хэлнэ.
Search node – (хайлтын зангилаа) – хайлтын модны нэг зангилааг хэлнэ.
Goal - (зорилго) - нь агентийн хүрэхийн тулд, шийдэхийг зорьж бүй төлөв.
Action (үйлдэл) – нь агентийн хийж чадах үйлдлүүдийн сонголтыг хэлнэ.
Successor function – (Өвлөгч, залгамж функц) – энэ нь агентийн сонголтоор буюу хийж болох үйлдлүүдээр тодорхойлогдоно. Энэ нь өөр өөр төлвүүдийн хооронд шилжихэд хэрэглэгдэнэ.
Branching factor – энэ хайлтын модны зангилаанаас салбарласан зангилааг хэлнэ. Өөрөөр хэлбэл тус төлвөөс шилжих боломжтой төлвүүдийг хэлнэ.
3.11. Бодит ертөнцийн төлөв, төлвийн тайлбар, хайлтын зангилааны ялгаа юу вэ? Эдгээр нь яагаад хэрэгтэй вэ?
World state - \бодит ертөнцийн төлөв\ хамааралтай хамааралгүй маш олон хүчин зүйлс болоод асуудал, мэдээлэлийг агуулсан зүйл
State description - \төлвийн тайлбар\ тухайн төлвийн дэлгэрэнгүй, нарийвчилсан мэдээллийг өөртөө агуулах ба маш төвөгтэй бөгөөд маш олон хамааралгүй хүчин зүйлс, шийдэхийг оролдож буй асуудлуудыг агуулсан дэлхийн төлвийн хялбаршуулсан хувилбар.
Search node - \хайлтын зангилаа\ өмнө нь хялбаршуулсан бодлогын шийдийг олохын тулд хийх үйлдлийн үр дүнд үүссэн төлөв.
Эдгээр онцлог шинжүүд\distinction\ нь их маш их хэмжээний хэрэггүй мэдээлэл, хувьсагчийг авч үздэггүй тул бодлогын шийдийг олоход ихээхэн хялбар болгодог ач холбогдолтой.
3.15. 1-ээс к хүртэлх зангилаа бүрээс 2 зангилаа гарсан байхаар хайлтын орон зай байна гэе. 2к, 2к+1 A. 1-ээс 15 хүртэлх зангилааг зур

B. 11-г зорилгын зангилаа гээд өргөний-эхний хайлт, 3 гэсэн хязгаартай гүний-хязгаарлагдсан хайлт, итерацын хайлтаар аль аль зангилаагаар дамжихыг жагсааж бич. a. өргөний-эхний хайлт - 1 2 3 4 5 6 7 8 9 10 11 b. гүний-хязгаарлагдсан хайлт - 1 2 4 8 9 5 10 11 c. итерацын гүний хайлт - 1, 1 2 3, 1 2 4 5 3 6 7, 1 2 4 8 9 5 10 11 C. Энэхүү бодлогын хувьд хоёр чиглэлтэй хайлт хэр үр дүнтэй байна вэ? Хоёр чиглэлтэй хайлтын чиглэл бүрт салаалсан мөчирүүд нь аль аль вэ? d. Хоёр чиглэлтэй хайлт нь анхны төлөв болоод зорилгын төлвөөс нь өөд өөдөөс нь хайдаг учир хайлтын хугацаа маш их хэмнэдэг. Иймд хоёр чиглэлтэй хайлт нь маш үр дүнтэй гэж үзэж байна. | Дамжсан зангилаа | Дамжих боломжтой зангилаа | Эхний | 1 | 2 , 3 | Сүүлийн | 11 | 5 | Эхний | 2 | 4, 5 | Сүүлийн | 5 | 2 |

D. K-с 2к –руу явах үйлдлийг зүүн, 2к+1 –руу явах үйлдлийг баруун гэж нэрлэе. Тэгвэл ямар нэг хайлтгүйгээр дээрх бодлогын шийдийг гаргах алгоритмыг олж чадах уу? IF (n=1) THEN PRINT “OLDSON”; ELSEIF (even(n)) THEN LEFT(); f(floor(n/2)); ELSE RIGHT(); f(floor(n/2));
3.23 Lugoj-с Bucharest-руу хүрэх замыг A* аргаар ол.

Зураг 2. Хотуудын зайг илэрхийлсэн зураг

Зураг 3. Бодлогын шийдийг олох дарааллын зураг

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