وزارت مسكن و شهرسازي

سكن و ساختمانمعاونت امور م

ساختمان ايرانملّيمقررات

بيستممبحث

عالئم و تابلوها

1384

ساختمان ملّيدفتر امور مقررات

www.mirjalili.net

A-PDF Watermark DEMO: Purchase from www.A-PDF.com to remove the watermark

پ

بسمه تعالي

گفتار پيش

ساختمان ايران، بـه عنـوان فراگيرتـرين ضـوابط موجـود در عرصـه ملّي مقررات

ترديد نقش مؤثري در نيل به اهداف عالي تأمين ايمني، بهداشـت، سـالمت و ساختمان، بي

ارتقـاي و رعايت آن ضمن تأمين اهداف مـذكور موجـب صرفه اقتصادي فرد و جامعه دارد

ـ . گردد يش عمر مفيد ساختمانها مي ت و افزا كيفي ي براساس اين اهميت، تدوين مقررات ملّ

شـود ساختمان كه به عنوان نقطه عطفي در تاريخ مهندسي ساختمان كشور محسوب مـي

شهرسـازي آغـاز و بـا مـشاركت جامعـه بيش از دو دهه است كه توسط وزارت مسكن و

هـاي تخصـصي اختمان و كميتـه مهندسي كشور و در قالب شوراي تدوين مقررات ملّي س

در ايـن مـسير ضـمن . وقفه سير تكامل خود را طي نموده اسـت مباحث، سازماندهي و بي

تكميل و تجديدنظر مباحث از پيش تعريف شده و مطابقت آنها با مقتضيات شرايط كـشور

از حيث اقتصادي، فني، فرهنگي و اجتماعي، تدوين مباحث جديدي هـم در دسـتور كـار

ته است كه پس از تدوين نهايي و طي مراحل تصويب در اختيار جامعـه مهندسـي قرار گرف

.خواهد گرفت قرار

هـا، نامـه در حال حاضر مدارك فني متعددي نظير مقررات ملّـي سـاختمان، آئـين

كننـدگان الزم اسـت شـود و اسـتفاده استانداردها و مشخصات فني در كشور منتشر مي

االجرا بودن، قلمـرو، حـدود تفـصيل، از تهيه هر مدرك، الزم به تفاوتهاي آنها از نظر هدف

محتوا و ساير ويژگيهاي خاص هر مدرك توجه داشته باشند كـه در مـورد مقـررات ملّـي

:توان ويژگيهاي زير را بر شمرد ساختمان مي

. االجرا است در سراسر كشور الزم» مقررات ملّي ساختمان« •

. شود ر خالصه و اجمالي تدوين ميبه طو» مقررات ملّي ساختمان «احكام •

اي اين مقررات فاقد موارد توصيه » مقررات ملّي ساختمان «با توجه به الزامي بودن •

. و راهنمايي است

بر هر گونه عمليات ساختمان نظير تخريب، احـداث بنـا، » مقررات ملّي ساختمان « •

. تغيير كاربري، توسعه بنا، تعمير اساسي و نظاير آن حاكم است

www.mirjalili.net

ت

قررات تدوين شده به خودي خود متضمن كيفيت ساختمانها نيستند بلكه در كنار م

تدوين مقررات مذكور توجه به امر ترويج و آموزش آن در ميان جامعـه مهندسـي كـشور

آموزان و آحاد مردم بطور عام از يك سـو و ايجـاد نظـامي بطور خاص و دانشجويان، دانش

،ات و تنظيم روابـط دخيـل در امـر سـاخت و سـاز كارآمد براي اعمال و كنترل اين مقرر

تغييـر كـاربري و ، توسـعه بنـا ، شرح وظايف و مراحل قانوني اقدامات احداث ،ها مسئوليت

هاي ساير موارد مربوط به ساختمان از طرف ديگر، بايد همواره به عنوان راهكارها و ضمانت

ركاران ساخت و سـاز قـرار اند گذاران، مجريان و دست اجرايي اين مقررات مدنظر سياست

.گيرد

در اجراي مفاد آن به ويژه مواد كنترل ساختمان و با تصويب قانون نظام مهندسي و

قانون مذكور، وضع مقررات ملي ساختمان و الـزام بـه رعايـت آنهـا در طراحـي، 34 و 33

شـت، برداري و نگهداري ساختمانها به منظور اطمينـان از ايمنـي، بهدا محاسبه، اجرا، بهره

دهي مناسب، آسايش و صرفه اقتصادي، اين اطمينان را در ميان مهندسان و صـاحبان بهره

اي كه در توسـعه و گرمي، به ايفاي وظيفه آورد كه با پشت هاي ساختماني به وجود مي حرفه

آباداني كشور دارند مبادرت ورزند و از اين رهگذر، سهم خود را در تحقق آرمانهـاي واالي

. يت بخشندانقالب عين

فرصت را مغتنم شمرده از اعضاي محترم شوراي تدوين مقررات ملّي ساختمان و

كساني كه به نحوي در تدوين، ترويج و كنترل اعمال مقررات هاي تخصصي و ساير كميته

ملّي ساختمان در كشور كوشش مي نمايند سپاسگزاري نموده و از اساتيد، صاحب نظران،

كاران ساخت و ساز انتظار دارد با نظرات و پيشنهادات خود اين اندر مهندسان وكليه دست

. دفتر را در غناي هر چه بيشتر مقررات مذكور ياري رسانند

دكتر غالمرضا هوائي مديركل امور مقررات ملّي ساختمان

www.mirjalili.net

ث

)عاليم و تابلوها(ي ساختمان بحث بيستم مقررات ملّكننده م تهيه هيأت

ساختمان ملّي مقررات تدوين شوراي) الف

عضو احمدي دكتر محمدتقي •

رييس مهندس محسن اكبرزاده •

عضو زاده دكتر محسن تهراني •

عضو زاده اصغر جالل ندس عليمه •

عضو نژاد دكتر قاسم حيدري •

عضو اكبر رمضانيانپور دكتر علي •

عضو دكتر عليرضا رهايي •

عضو اصغر ساعد سميعيدكتر •

عضو دكتر محسن غفوري آشتياني •

عضو دكتر محمود گالبچي •

عضو دكتر شاهرخ مالك •

عضو مهندس شاپور طاحوني•

عضو دكتر محمود مقدم •

دبير مهندس نادر نجيمي •

»عاليم و تابلوها « بيستممبحث تخصصي كميته) ب

رييس ناصر بنياديمهندس •

عضو حمدرضا بقاپورم •

عضو مهندس اسفنديار صديقي •

www.mirjalili.net

� � � � � � � � � W K � � �

� � �

� 5 7 @ F�> $ . J 4 � ���� 7 8 * 7 5 + , 8 K ,f

gh ifif "H R��G ��!�( � &�' �! 0�� ��@� f

gh ifig j�=?� f � ���6 D F 3 $ 4 � C � # 5 � / 3 $ � Lg

gh igif ����� -A\� g

gh igig ����� ��4C! ��'�( ��4;*' g

gh igiQ � ��L� -A\� � �?�%�� g

gh igik � ��L� -A\� � �?�%�� l��*� )( '�2 �4� ��( g

ghigikif�4?�6'�2 � �4*��#$�� '( ����� � ��L� -A\� � �?�%�� g

) f ( 3=*'�(�� � ��L� -A\� g

) g ( 3=�?('�=8? � ��L� -A\� k

) Q ( 3=��2 ��@�� � ��L� -A\� o

) k ( 0��� ��� G � �:* 3=��2 3�6H � ��L� -A\� p

) o ( '� � ��? )! � �'� q�� r� $ -A\� p

) p ( �'� q�� r� $ �4� "(�( "�8* �� 9�F! -A\� s

) s ( �)��� ��? d�2 � Z� ! � ��L� -A\� s

)t ( P� � ��C/� &�@)4 � � Z� ! � ��L� -A\� t

) u ( P� � ��C/� 9A��� � �� #�( �� '�( �4� 9�F! -A\� t

ghigikig � '�2 j �! ��%�� t

ghigikiQ ���5)%:� ��%�� t

ghigikik �!�.#*� ��%��)�F)�� �( u

ghigikio "��#$�� ��* ��%�� u

ghigikip )! ����?�' � � 4G ����?�' ��%�� u

ghigikis \/� ��%�� �*��' l u

gh igio � ��L� -A\� � �%�� l��*� ) R�L�� � 9FG �K��L! l�* �4� �� ( u

www.mirjalili.net

gh igip � ��L� -A\� � �%�� l��*� ) 3(�C#�� "�!� &=! �4� �� ( fh

gh igis �%�� � � ��L� -A\� 3��� fh

gh igit �%�� � � ��L� -A\� �46H fh

gh igiu %�� � � ��L� -A\� Kq� � fh

gh igifh &�' �! � v�?��?�* ��%�� � � ��L� -A\� fh

gh igiff �%�� � � ��L� -A\� R�`! � 3=*'�( fh

gh igifg �%�� � � ��L� -A\� �� ! fh

gh igifQ �%�� � � ��L� -A\� K��L! fh

gh igifk 3b�� P/��! ) w�$ ��? R #�2 R����( ff

gh igifo �%�� � -A\� �*�'�* ��? ff

gh igifp �'�* -A\� ff

gh igifs ����� ���W -A\� ff

gh igift �!\2 ����� -A\� ff

gh igifu ��( &�2 � � ����� -A\� fg � ���" J 4 � F 7 C ;fk

gh iQif �?�%�� � -A\� l��*� +L* 3(�=B! fk

gh iQig �?�%�� � -A\� +L* "�F! ��(�=B! fk

gh iQiQ �?�%�� � -A\� +L* � �$�� &�!�@�� fo

gh iQik �?�%�� � -A\� 3��� � �A�#�� &�!�@�� fo

gh iQio �?�%�� � -A\� K��L! �!���! � l�* &�!�@�� fp

gh iQip �?�%��� -A\� �F� #F�� &�!�@�� fp

gh iQis �?�%�� � -A\� �'�=4;* � )��� fs

gh iQit #�� �%2 ���� �?�%�� � � ��L� ����� -A\� �� 3(�C ft

gh iQiu P� � � '( ����� -A\� �� 3(�C#�� �%2 ���� ft

gh iQifh �'�* -A\� �� 3(�C#�� �%2 ���� fu

gh iQiff ���W -A\� �� 3(�C#�� �%2 ���� gh

gh iQifg �!\2 ����� -A\� �� 3(�C#�� �%2 ���� gf

gh iQifQ ���� ��( &�2 � � ����� -A\� �� 3(�C#�� �%2 gf

gh iQifk q$ � ��4��(�6 � �?@� 2�$ 9B! j� /� '( ����� -A\� �� 3(�C#�� �%2 ����

x �(�L� �� Z��� gg

www.mirjalili.net

� � � ��� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ���) 3 7 D � ; 7 5 D ' ) $ * � 7 D � 5 � � � �gQ

gh ikif \� �'� q�� r� $ -A gQ

gh ikig �'� q�� r� $ ��? y� D gk

� � � ��� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ���$ * � $ I 3 $ 4 3 6 " , 7 G H 7 � 8 < * 6 3 7 8 A * � � � � " J 4 � F 7 C ;gs � ���� $ # D � ' 6 7 C , ) 5 $ � + H C H � C � ' 5 2 1 $ @ , ) 5 3 D F " < % / 7 � � � � � ? # � 5 G Hgu

gh ipif 2 <�* q$ (��! ��'�( ��?� ! � "��,! �'�V6 �*�8* �� -A\� ( '� gu

gh ipig <�* q$ (��! ��'�( ��4*�F! � �? �/�B! �'�V6 �*�8* �� -A\� ( '�2 gu

gh ipiQ ��4*��)$ �82 �$ ��;�? �� �? 3(�� 9$�( ���! ��4?�6'�2 '( �'�V;#!\�

7*��! �\�� �� <�* q$ ��? 9B! � gu

� � � � � � ��� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ! � � � � � � � � � � � � ��"" J 4 � F 7 C ;Qf � ��#1 $ $ , D . % ) $ * C J F $ L 5 1 C $ , 8 < , 1 $ . # ) $ * C J F $ L E 8 # 3 7 8 # 1 C $ , + F 1 $ . # + 4 " / $ * C J F $ LQg

gh itif 4G ��? �� �=! �� �� ! � ��)* �2 ���?�%�� =*'�=* � Qg

gh itig �� ! )a ��?�%�� Qg

gh itiQ �� ! ��?�%�� � �42\O l��*� QQ � ��&$ * C J F $ L 1 $ $ , ' � (Qk � ��( �$ * C J F $ L ) 7 C # 7 � ? # � 6 5 8 � ,Qk

gh ifhif �?�%�� +L* �%2 3(�=B! Qk

gh ifhig �?�%�� 0� �� =� l�C�'� Qk

gh ifhiQ �%�� �*���� =� �� ! l�C�'� �? Qo

gh ifhik �!��� ��! -� � '( �?�%�� �� ! �� 8)O Qo

gh ifhio E%#,! ��?�%�� -� � Qo � ��( ($ * C J F $ L � H $ � , 5 � 'Qp

gh iffif �%�� +��q! Qp

gh iffig �%�� '( �$ Qs � ��( �$ * C J F $ L ) 1 7 6 D : 3 C # 5 * # 3Qt

www.mirjalili.net

gh ifgif v*' Qt

gh ifgig �?�%�� '( ���( O'�* Qt � ��( �* < * $ % * $ # ) $ * C J F $ LQu � � � ��� � � � � � � � � � � � kh

www.mirjalili.net

1

� � � � � ��� � � � ���� � � ��� � � �� � ������ � � � ! " # $ % & ' ( % ) * + $ , - % . ' / 012 3 4 5 6 7 8 2 3 6 9 : 2 ; < = > 6 ? @ 4 A B : 5 C > 6 4D 6 E F = G H = 7 9 I = ? 2 = G J = K L = M N O P Q R 4 2 N = Q = 4 P S L = M T 3 U 5 V ITW FX Y Z L 5 [ \ 49 4 ] ?32 3 6 \ 7 Q O T ^ 6 _ O R G F T ` F = \ 4 L ; 3 a 5 b W S P U 2 D Q = ? cTd e f 4W FM g B h 4 L ; 3 H = ? L d = B i2 P j @ 6 4 5 6 h H W 6 F d ; P 6 4 3 K R H k 2 L = l 5 f m 4n a ] 8 2 = J 5 f F = o g ? 5 o Tp ; 5 F2R Q = Fq h 4 L ;a = JP 6 m I r = 7 9 Z O W M 3sp R 6 \ \ M R 6 Q R G os O P 6 F 9 4 ] ?3; L O ; ; 5 b 2 ; O P S O 3 \ 7 Q O 2TR \ \ M t V H p R \ J ; L O R u J n a ] 8v t V H3 \ 7 Q O n a ] 8H < O L P w 4 A Q O L ; p R _ P x yR H O 5 o 3 7A B u H = b< = 4 O R z Od k {P | Q ;^ 6 G b6 9 \ M2 r P R \ H = 4 s P B | u B i< L = [ H3 ? R \ G 4 s = JTL = M g Q O P _ ; = } Q O 2 L = M ~ 2 L � ] U O; 5 _ 3 w f o P m I 3 Fv A Q OA B H O 5 z< = 4 O e : O P | Q ; 2 t V H q h 4 T p k = ? T d = B i k O s L O ; P F p P G F 2 ^ I = ? 2 3 Z O P � P F < L = [ H q 4 = _ W B f x s O P F= J 5 f F = o 2 n a ] 8sR \ H = 4 d 5 ? P 4= J � ] iT= J 5 f F = oP 6 | Q ; 2q a = 6 ? 2� ] 6 � O= 6 ? L3 Hq 6 B � z k O 3 o 5 U n a ] 8 T ^ ? ; 3 9 M P Z < O L = _ OTs L 5 HT2 P m I s = J P Q � c^ ? O p P B �v � �����%� % � �1

A B 4 � 6 o L 5 6 [ \ 4 W F n a ] 8 2 = J 5 f F = o W F 3 J R H = 4 = ? < O L P w 4 A Q O A Q 2 R o k O 3 f M � R J` F = \ 4 L ; 3 a 5 b W S P U 2 D Q = ? c T 3 \ 7 Q O T ^ _ O R G F 2 ^ 4 ] ?R _ = F 3 4v= 6 J 5 f F = o 2 n 6 a ] 8 L 5 [ \ 4 A Q R F R Q = Fk OW a O L O P [ H2 < = 8 ] � Oq 7 8 � B h U 3 \ 7 Q O s = J L O R u J2 p ; 5 7 H2 ^ I = ? P [ H k Ot V H3 6 FP 6 m I2 p ; 5 F A 7 Q O2d = B i3 H = ? L= G H cR _ = � H k = ? P m Iv � O R J OP [ H ; L 5 4A Q 2 R o L ;A Q O � f 9 E 4 s = J D E Fg F O 5 �R \ _ = F 3 4 P Q k � P _ W F� � � ��� � � � � �q 4 = _� O 5 H O 2 n a ] 8 2 = J 5 f F = o 3 f M s = J 3 K � Q 2 2 � Q L = � o= G H c 3 f M g F O 5 � 2v ��� � � � � �q 4 = _W F N = 7 9 I = ? q I O ; L ; N = ? L � ] � O 2 p R \ J ; L O R u J n a ] 8 2 = J 5 f F = o 3 f M < O L P w 4k = B H ; L 5 4 3 \ 7 Q O = J 5 f F = o 2 n a ] 8 A B 4 � o L 5 [ \ 4v ��� � � � � �q 4 = _< O L P w 4d k {W 6 a O L O L 5 6 [ \ 4 W 6 F = 6 G J = K L = x L ; p R \ J ; L O R u J n a ] 8 2 = J 5 f F = o ^ G b 3 \ 7 Q O n a ] 8 � B h UW FN O P K L = M2 3 9 � \ 6 U 2 3 H = 7 9 I = 6 ? s = J p = K L = x N = \ x L = x 2v v v2 W 6 Q 2 L < R 6 Z 2 2 n a ] 8 W H 5 | \ Q O s k = ? N = > 7 Jv ���   ¡ ¢ £ � � �q 4 = _n a ] 8 2 = J 5 f F = o 3 f x < O L P w 4¤2 3 o = ¥ B f � o T N = ? L � ] � O T p R \ J ; L O R u J¦ v v v^ G b 4 3 H = ? L � ] � O = Q 2 3 \ 7 Q O A B 4 � o L 5 [ \ 4 W F T N = 7 9 I = ? k O § L = I g B h 4 L ; t V Hk O p ; = Y 9 ? O N = 4 k L ; d ; P p ; = B i 2 p L O 5 ? L 2 P 4 2 L 5 � 8 p � Q 5 F 2 s P G _ s = J = ¨ Sv

www.mirjalili.net

2

� ��� � � � � �� � � � � � � �� � ������ ��� # - % �1] 8a3 7R \ 9 > J3 H O L 5 6 H ^ 4 ] 8 T � H L T 5 f F = o g ? 5 o W M¤3 Q = \ 6 _ 2 L¦= 6 Q n a ] 8W B U 5 o T ^ ? ; ^ M P Z k O 3 _ = H n a ] 8 = Q 3 4 ] M � = � o L O T 3 o 5 U3 o = 8 ] � O 2 = J3 6 \ 7 Q O p L = 6 F L ; 3 4 5 7 8L = M ^ _ O R G F 2O L3 4 r = w 9 H O\ J ;Rn 6 a ] 8 T 3 H O L 5 H n a ] 8 T s P Q 5 V o n a ] 8 2 = J 5 f F = o q 4 = _ 2R H ; P K 3 4 ^ ? ; < = M P Z = F 3 \ 7 Q O n a ] 8 2 3 4 ] M n a ] 8 T 3 o 5 U n a ] 8 T s L 5 Hv � ������ � � � � ). � � � $ � % ) % &� # - %1L ;n a ] 83 6 \ 7 Q O s L 5 H 2 3 H O L 5 H T s P Q 5 V o� = 6 I s = 6 G | H L s O L O ;n B J = Y 4^ ? O 3 V E u 4vr 2 R bP Q k� H L A Q O 3 f M p R \ \ M A B B � o= JO^ ?�v � 0 % ) � ! " & . � � � $ ' � # $ # � )� = H P m I L = x^ > Q O$p = | 9 ? ; s L O P m � O � z 5 o$W B f E o q a = ? 2 ^ B � z 5 4 2 3 S P � 4 $p R H L O ; k = F n a ] 8� $P m I s L 5 H n a ] 8� $% Q P Z s = Y � O q a = ? 2� e 4 P zR B _ = F t & O 5 4–R B \ M � = B 9 Z O$R B a = 4 k = B F n a ] 8p R \ J ; L O R u J� L k';3 a = F P G M= Q L = Md O R z O� = Is ; P S ^ & = Y Z q Q = ? 2 k O p ; = Y 9 ? O p R \ \ x d O e : O n a ] 8� 3 F c= G F L ;23 b 2 P I= JTL O P S s = G J O LTq Q = 6 ? 2 < = 6 H = ( 4 O W B : 2 O s = J ) 7 xW F ^ u K P Fs ; = 8 ^ : = Z $n 6 6 a ] 82 s L O P m 6 6 � O § 2 P 6 6 IW B : 2 O s = J * 7 M� $A 7 Q O g Q O P _� e � ? � ����+� , - � .��� * - � / . � � � � '13 7 a ] 8q 4 = _W H = u 6 H 2 q � 7 6 ? T W 9 _ 5 H T � H L T q 0 _ k O 3 � B x P o s P Q 5 V oW MR _ = F 3 V E u 4 d = B i s 2 = ZvR 6 z = S = 6 Q p k = 6 ? s O L O ; ^ ? O A ( 7 4 n a ] 8 A Q OcN5 6 F;T pW 6 F N = 7 9 I = ?L O 5 Q ; = Q4 k s 2 L = Q 1 = V : O sB2 p ; P H 2 AO42r =c; P B K L O P z Nv � ����3� , - � . 4 % � � %* - � / . � � � � ' � ��5) � 6 7 � 8 9 %& * -: ; <=>=?=@A B C A D E A F G A H I A J K L A M E N O P J Q R S T Q U V W X Y Z [ G A B U \ ] A W^s = J d = B i s O L O ; W x ^ ? O 3 7 a ] 8= 6 Q P 6 m I k O e 6 Q P K s = 6 G J O L = Q s L = x d = } H O W F d O e : O = Q s P m I ; 5 b 2 L O R u J = Q O k P m I s L = x p R \ \ x ` \ 4R _ = F W B : 2 O s = J ) 7 xv^ ? O P Q k � O 5 H O q 4 = _ 2� _`�a b c d e fg h i   � � j ¡ � k l m �n ` \ 4s L = M p R \ \ M^ ? OL P m I r = 7 9 Z O W MOD Q O e S O;O;p= QO L N c3 4 ; 5 b 2 W F; L 2 cv

�� o p q r s t uvw x y z u { | } ~ � � p s � � � p � p ~ � y o � u ~ � � � � � � � � � �| } { � � � � � � ��

www.mirjalili.net

3

� , � % ( � � � � / �1 � � R�

q 0 _ s O p P Q O ; ��

l L 5 4 g I 2 p P Q O ; W B _ = Z = F R B Y ? W \ B 4 k s 2 L p = B ? � H L W F s P Q 5 V o W H = u H¤^ ? O L W F � � k O¦W 6 F e 4 P z � H L¤� H L e 4 P z ^ 7 > zR Q = Fq z O R Z �] 8 � m ?R H = _ 5 � F O L ^ 4¦v p ; = B i L 5 � 8 R B u 0 H L = | B ?R Q k 2 P S = B H D o c � 5 \ 7 4

� 5 \ 7 4 W z P Y 9 4 ; O P S O ; 2 L 2l c^ > B H 3 H R B 4 = _ cR B \ 0 H ~ 5 4 = I l c = FR B H e H ^ ? ;W B f w H q a = ? 2 ; 2 L 2� 5 \ 7 4 3 9 � \ U

www.mirjalili.net

4

�>�V W X Y Z [C � P B N E R � � B S T Q U^ ] 87 aW M 3r = 7 9 Z Os P m IO LL O R u J3 4J ;\Rv � � � � � ¡ � � � a �n � � R�q 0 _ 3 2 f 2 4 ��

p = B ? W B _ = Z = F ; L k W \ B 4 k s 2 L p = B ? � H L W F s P Q 5 V o W H = u H¤q z O R Z � H L ; L k ^ 7 > z �� m ? R H = _ 5 � F O L ^ 4 ] 8v ¦p R H L 5 I ; O 5 4 P m I3 7 ? ; O 5 4 P m Ip P } Y \ 4 ; O 5 4 P m IO k D o c ; O 5 4 P m I 1 P F P m I3 9 � \ U W B f w H q a = ? 2 P m IL = F � 5 w ? P m I5 B 9 x O 5 Q ; O L ; O 5 4 P m I 5 B 9 x O 5 Q ; O L 5 o P i P m Ip R \ \ x R B > x O ; O 5 4 P m IL e B : W � _ O P m I P m I 3 F 2 P 0 B 4 P m IN ; = 9 S O P m I` H O 5 4 P m I 3 > B � = \ ¥ 4 N O R B 4 P m I

www.mirjalili.net

5

P ¨ 4 2 � P h 4 ; O 5 4 P m IN ; k � Q P m I ���C � P P F � R � � R S T Q U V W X Y Z [^ 7 a ] 8W M 3L = � b O 2 d O e : O^ ? O 3 U = I L = M p R \ \ Mv � � � � � ¡ � � � a �n � � ��q 0 _ s O p P Q O ; ��3 F c W \ B 4 k s 2 L � H L R B Y ? s P Q 5 V o W H = u H¤q z O R 6 Z � 6 H L 3 6 F c ^ 7 > 6 z �O L ^ 6 4 ] 8 � m 6 ? R H = _ 5 � Fv ¦3 \ 7 Q O 3 _ 5 K k O p ; = Y 9 ? O3 \ 7 Q O p ] x k O p ; = Y 9 ? O3 \ 7 Q O ) \ B 8 k O p ; = Y 9 ? O ^ ? O 3 4 O e : O^ ? O 3 4 O e : O^ ? O 3 4 O e : O

D 0 9 ? ; k O p ; = Y 9 ? OD Y x k O p ; = Y 9 ? O ) ? = 4 k O p ; = Y 9 ? O ^ ? O 3 4 O e : O 3 \ 7 Q O^ ? O 3 4 O e : O 3 \ 7 Q O ^ ? O 3 4 O e : O 3 \ 7 Q O

www.mirjalili.net

6

O p ; = Y 9 ? OR \ F P 7 x k X S = h 4 k O p ; = Y 9 ? O � = � : k O p ; = Y 9 ? O p ; = B i P F = 8 P B > 4

^ ? O 3 4 O e : O 3 \ 7 Q O^ ? O 3 4 O e : O < L 5 U ^ ? O 3 4 O e : O 3 \ 7 Q O �?�� J Q R � Q R T � � ] � � � I C � P P F C A D � S T Q U V W X Y Z [^ s L O P m � O § 2 P I W F � 5 F P 4 s P Q 5 V o n a ] 8W 6 B : 2 O s = J ) 7 x 2�6 7 a ] 8W 6 F ` 6 b O L O L 3 o = 6 8 ] � O W 6 M 3 s L O P m � O § 2 P I q 2 4 s ; O R 4 O 2 < = } H < = H = ( 4 O2L O P S p O L2 W B : 2 O s = J * 7 M Tv v vR \ \ M 3 4 W a O L Ov � � � � � ¡ � � � a �n � � ��q 0 _ q B m 9 > 4 = Q ` F P 4 ��e � ? W \ B 4 k s 2 L � H L R B Y ? s P Q 5 V o W H = u H¤q z O R 6 Z � 6 H L e � 6 ? ^ 7 > z �O L ^ 6 4 ] 8 � m 6 ? R H = _ 5 � F¦v ��E R T S A B T � � � G S E R T � R � G T L X Y Z [

www.mirjalili.net

7

���S E R T � R � G T L � H � � N R N � A � I S R T ] � J � � X Y Z [���� � � G R S A B � J F � ] � U ] T � S T Q U V W X Y Z [ 7 a ] 8< = H = ( 4 O W F ` b O L O L 3 o = 8 ] � O W M 32 W B : 2 O s = J * 7 Mv v vR \ \ M 3 4 W a O L Ov n u � s 5 u 9 > _s L O P m � O ~ 2 ;W B : 2 O s = J ) 7 M

L = 0 H O P F;¤N O 2 L ^ E o¦s L O P m � O A Y f o

www.mirjalili.net

8

���� Q T � S A � � R � R � � H � W � ] � U ] T � S T Q U V W X Y Z [^ ] 87 a< = H = ( 4 O W F ` b O L O L 3 o = 8 ] � O W M 3% Q P Z s = Y � O < O e B G } o 2R \ \ M 3 4 W a O L Ov � � � � � ¡ � � � a �n � � ��q 0 _ q B m 9 > 4 = Q ` F P 4 ��

e 4 P z W \ B 4 k s 2 L � H L R B Y ? s P Q 5 V o W H = u H¤q z O R 6 Z � 6 H L e 4 P z ^ 7 > z �O L ^ 6 4 ] 8 � m 6 ? R H = _ 5 � Fv ¦ s L O P m � O A Y f o N = F p ; P H s = Y � O � \ f _ s = Y � O r 5 > � x

% Q P Z % Q P Z

% Q P Z

���K M N S R T ] E R N � H � � J � � X Y Z [� Q T � S A � � R � Y A M G � ] O M T

� �������� * - ) � 6 � * $ � � , - � .15 f F = oQ� 2 P 6 Z q 4 = _ W 9 _ 5 H W H 5 K P J s O L O ; W M ^ ? O 3T; O R 6 8 OT r = ( _ OT2 = V oQPTe oB a< = \T= J ; = 7 HTP a = [ H = Qc2 R _ = F = G Hi L 5 [ \ 4 W FBH = ? L d =3p L = F L ;3 S P � 4L ; s P F L = 6 M F = z 3 4 5 7 8 P � � 4 k O 2 ; 5 _ t V H N = 7 9 I = ? = Q * f 4 N = 7 J2 L qQR _ = F ^v¤< O L O ; O 2 = 6 J p k = ¥ 4 5 f F = o R \ H = 4 2¦ v v v� ������, . � � , - � .�� . � �15 f F = oQt > M W F p L = _ O W M ^ ? O 3T< = 4 R IQ2 < ] B G > o =o = > 6 B ? � o3 3 4P F L = M � P � 4 W M R \ Ms5 4 s = Jbt V H q h 4 L ; ; 5c2 R _ = � H NL ; P K O = Qcp R 6 _ t V 6 H q 6 h 4 Nk O T ; 5 _ l 5 > h 4 3 o = ¥ B f � o 3 4 = B i A B : 5 C > 4 P [ Hv

www.mirjalili.net

9

� ����3�3� $ � � ! � % � � , - � .5� � � � % * .1 :5 f F = oQ6 [ \ o ^ 6 G b O L 3 4 = B i W M ^ ? O 3BnT= 6 Q L O R u 6 J = 7 \ J O LQL 5 � 8 32L 2 P 4d ; P 4 = Q W B f w H q a = ? 2T� 2 P Z * 7 M W FQ] 8 =anT3 4 r = w 9 H OR J ;v � ����3��� � ! � � " . � � � � , - � .1N = 7 9 I = ? 3 S P � 4 L 5 [ \ 4 W F W M ^ ? O 3 Q 5 f F = oTk = } 4 s = G f h 4 L ; 3 4 t V HK; ; Pv � �������� * � ! � � # � % ) � � , - � .* � � $ � � # � % ) '15 f F = oQP 6 Z L ; W M ^ ? O 3Q= 6 Q 2 = 6 G H = F = B I n s P F L = M � 5 z 2 q h 4 W F p L = _ O 2 W 9 S P K L O P z s P G _ s = J = ¨ S P Q = ?R V w 4 TW 6 � b O P 4 s O P F t ? = \ 4 P B > 4 = Q d ; P 4¤p ; = B i = Q p L O 5 ?¦3 4R Q = 7 Hv � �������4 � � % � � , - � .)� � � "1W M ^ ? O 3 Q 5 f F = o= Zs 22 W 6 B Z = H T W f h 4 L ; s P G _ < = 8 ] � O= 6 Q R _ = F P G _v � ������ , - � . 4 % � � %� * - � / . � � � � '57 � 8 9 %' � � ! � 0 � / $ 4 � �� � / . %: � � �k l m � a b c d e f � � � � ¡ b� � � �_� � � ��n= 7 B w 9 > 4�P 6 U = \ 8 = 6 Q = 6 \ F 3 b L = 6 I p L O 5 Q ; W F q V 9 4 2 % � m \ 4 = \ F 3 b L = I L O 5 Q ; = F s k O 5 4 < L 5 U W F s O p k = ?t V H3 4; P KHRv �k l m � a b c d e f � � � � ¡ bg l �_k � � � f�nL O 5 Q ; P F ; 5 7 8 < L 5 U W FpN = 7 9 I = 6 ? s = 6 7 H = 6 Qp k = 6 ? 2t V 6 H 3 4; P KHRv �k l m � a b c d e f � � � � ¡ b  � � c � �n^ 4 = E �cH= Gk O D B F� �p ; 5 F P 9 7 B 9 H = ?TL ; = Q 2cH= Gk On 6 } Z P U = \ 8 ;k O D B F W M L O� P 9 7 B 9 H = ?R _ = F p R _ p ; = Y 9 ? O R H L O ; ^ 4 = E �v �k l m � a b c d e f � � � � ¡ b� ¡ � k �  n� 5 H P Js P Q 5 V o ^ 4 ] 8; ; P K t V H N = 7 9 I = ? d = F P F W Mv �=k l m � a b c d e f � � � � ¡ bg � ¡ � m �_� � � � � m ¡ � ¡ ��nL O P z A B 4 k s 2 L p R H L O R G | H W Q = i g ? 5 o3 4KBPR 6 HvW 6 Q = i 3 4 p R H L O R G | Hk = ? R H O 5 oR _ = F L O 5 Q ; = Q p ; P H = Q 5 f F = o � = I pv �k l m � a b c d e f � � � � ¡ b� ¡ � m ¡ � k �  nt V H = \ F s = G H = � Q = ? W Fn B ? P o = Qp R _2k O = Qc= G HcR \ 6 _ = F W 6 9 E Q 2v N = � Q = ? A Q OW F = JD _ 5 i = F W M 3 Q = J p k = ?p ; k N 2 P B F N = 7 9 I = ? p L O R b k O 2 p R _ p R H = _ 5 i t ? = \ 4 s = J 3 4 O L = \ F L 2 = } 4 s = ¨ S k O 3 u E F 2_ 5 i; 5 _ 3 4 W 9 Y K T R H =v jk l m � a b c d e f � � � � ¡ b� l �nk O 3 u E F = Q d = 7 ocH= GF3 U = I L 5 [ \ 4 WR \ M ^ M P Zv !� � � � � ¡ " k l m � a b c d e f � � � � ¡ bnR H L O ; P | Q ; 3 H = ( 4 W F 3 a = } F = b ^ B f F = zv #k l m � a b c d e f � � � � ¡ b$ � �� $ m l nn B ? W M ^ ? O 3 Q 5 f F = oO ; 1 P F 3 u MW 9 _2< = 6 z 2 O W 7 J L ; N c ; P M L = M 3 J = K = Q^ ? O 1 P F s 2 P B H = Fv3 : 22 s P Q 5 V o n a ] 8s k O ; P i L 5 H 3 b L = I 3 Q = \ _ 2 L ` � \ 4 = F W M 3 Q = J 5 f F = o r 5 7 u 4 R H 5 _ 3 4N cR \ 9 > B Hv k� � m � i � % � &nP Jcl 5 V \ 4 3 G K~ 5 w \ 4 TA Q P 9 Q 2 � = Y _ � m ? W F q V 9 4 22P z = QL ; W 9 S P K L Oi^ u ; 5 u B 4 l 5 > h 4 3 > Q 5 H W u B _ R _ = F ' B E u o q F = z N 2 P B F k O W M W u B _v

www.mirjalili.net

10

�� e �nW M < O L P w 4 L ; p R _ A B B � o ^ Z = > 4 P 2 M O R Z = F * � 5 M s = J 5 f F = o3 6 S P � 4 N 5 6 � 3 a = 6 J d = B i P F L = MsO L = \ F L ; P w 9 > 4 s = J; L O ;v �c £ l �n2 W � L = i q 2 4 � = m � H O q F = z � : = V 4 k O W Q = i P F l 5 V \ 4 3 7 a ] 8v v v^ ? Ov � ������ , - � . 4 % � � %� * - � / . � � � � '5� & � � ! " % � � $ 9 ( � $ 7 � 8 9 %1 : � � �� k l m � a b c d e f� " � � k � � � ¡ bnL ; D Q = 6 7 H W 6 F ; 2 R h 4 3 o R 4 s O P Fc 3 6 4R 6 Qv3 Q = 6 J 5 f F = o A B 6 \ � L ; T ^ > B H 3 4 O e : O d 2 = w 4 � : = V 4 k O p ; = Y 9 ? O; ; P K ^ Q = 8 L R Q = F 3 \ 7 Q O < = ( H = 4 Ov �� k l m � a b c d e f� � k � � � ¡ bc dnW 9 6 _ O R H t V 6 H N = 6 4 k < R 6 4 P 6 [ H k O 3 9 Q ; 2 R h 4 W M R \ 9 > J 3 Q = J 5 f F = o R \ _ = Fvt V H k O 5 b W M 3 Q = J 5 f F = oc^ ? O ; 2 R h 4 N = 4 k s O L O ; = G He B H3 o L 5 U L ;W Mk O 5 6 b R 6 Q R 7 o N = ( 4 O R \ _ = F W 9 _ O ;T3 4 l 5 > h 4 n a O ; s 5 f F = oR H ; P Kv � ������ 9 � "' � * - � / . � � � �� , - � .1� m ? p R H L O R G | H W f B ? 23 G K c2 s P Q 5 V o n a ] 85 f F = o^ ?v � ������� � �' � * - � / . � � � �� , - � .1s P Q 5 V o d = B i q 4 = _Tt : = m 4 2 � H L= G H c^ ? Ov � ����� � "' � * - � / . � � � �� , - � .1p k = ? 2 l = z N 2 L ; W � L = � ( Q � m ?2 s P Q 5 V o n a ] 85 f F = 6 o= 6 Q l = z ; 5 � H < L 5 U L ;T( Q � m ?�W � L =c3 G KO N c d = B i^ ?v � ����� �/ . � � � �' � * - �( % ) * + $ � - # # � � � � � � � , - � .12 < O L P 6 w 4 A Q O = F P Q = ¥ 4 W M ^ ? O 3 Q 5 f F = o P | Q ; l 5 V 4 g F O 5 �R _ = Fv � ����� �� � � ) % &' � * - � / . � � � � � � � $ '� , - � .1L O ;T k O 5 b p R Hr 5 C > 42 s P Q 5 V 6 o n 6 a ] 85 f F = 6 o ; 5 u B 4 W 9 I = \ _vR _ = � H k O 5 b I O W F k = B H W M s ; L O 5 4 L ;TJ ; = G H 2 < = > ? @ 4 A B : 5 C > 42 3 4 5 6 7 8 s =v v v R H 5 _ 3 4 W 9 I = \ _ r 5 C > 4 ^ ? = G H c � Q = & 2 W m B Z L ; 5 f F = o 2 s P Q 5 V o n a ] 8 N c t V H W Mv � ����� �9 � � $' � * - � / . � � � �� , - � .15 f F = o t V H W H O 2 P i^ ? OW M= F N c 1 = � m H O k O � i< = V 6 E u 4 k = } 4T3 4 W a O L O 3 � = w 9 4 W F 2 L ; = U r 5 C > 4 ; = G H g ? 5 oKP; ;v � ����� + 0 � / $' � * - � / . � � � �� , - � .14^ I = ? s O P F W 9 S L L = ( F � : = V2 s P Q 5 V o n a ] 8T 5 f F = oW 6 F T ^ z 5 4 s = J 5 f F = o s = \ 2 9 ? O� 5 H 2 p k O R H O W F W 9 > FcNs P G _ p k = ? * Q N O 5 \ � F� \ J = 7 J R Q = F� : = V 6 4 = F k = } 4n } \ i h � 4 L ;R _ = F N = 7 9 I = ? 3 f 4 < O L P w 4v

www.mirjalili.net

11

� ����� 3� � - ' � � � # $5� � � � � � � * ! # 6 � � � %:1W 6 F W M P G _ k O 3 u E F = Q W 8 5 7 } 4 = Q N = 7 9 I = ?g F P Q y ` b O P 4 R Q R Z ] U = F 2 R Z O 2 ^ Q P Q R 4 � = h : W F = Q p P B � 2 3 � B � � T 3 E Q L = o < = B U 5 V I � = h :TW M ; 2 R h 4 < O L P w 4 ^ Q = 8 L = } H c L ;\ Ms O P F s P o p R \2 s P Q 5 V o n a ] 8= J 5 f F = oT2 % � = 6 \ 4 P Q = 6 ? W F ^ � > H = G H = 7 9 I = ?; ; P K r = 7 8 Ov � ����� �� � � �� � � � , - � . '� � % ) � �13 7 a ] 83 f I O ; s k O ; P i L 5 H = FW M= G H c � m ?W 9 I = 6 ? s ; O 5 4 k O p ; P M L 5 � 8 N c k O L 5 H W M p R _2 A _ 2 L 5 f F = o � m ? 2d = B i; 5 _ 3 4 � � O 2v6 a ] 8 d = 6 B i 2 q ( _ 2 � H Ln 3 \ 7 Q O s P Q 5 V o n a ] 8 R \ H = 7 J 3 \ 7 Q O 3 H O L 5 H¤R \ F� �$�$�¦< = B U 5 V 6 I 2 3 \ 7 Q O s = J � H L r 2 R b ` F = o R \ F L ; § L R \ 4� �$�$�^ ? Ov � ����� �� ) � � � � � �13 6 \ 7 Q O s = 6 G | H L d 5 G Y 4 s O L O ; s = J L 5 H D F = o k O p ; = Y 9 ? O = F = G H c L = u 9 H O W M ^ ? O s P V F 3 a = J d = B i¤R 6 \ F � �$�$�¦O 5 o 3 4 2 ; P B K 3 4 < L 5 U2 ~ 5 4 = 6 I � H = 6 M P S 2 L 2 ; = 6 F N k * 7 u 6 � = 6 Q ^ F = j < L 5 V F R H _ 2 L3 \R Q = 7 H W a O L O O L ; 5 I d = B i � f 9 E 4vp = | 9 ? ; W � H = \ �T p R 6 \ J ; ^ 4 ] 8W 9 6 ? 5 B i ^ 6 4 ] 8¤n 6 a O ;¦2 l 2 = \ 9 4s L 5 HR Q = 7 H P u 9 \ 4Ts L 5 6 S s = 6 J k = B H = 6 Q 2 P 6 m I s { = F < = b L ; s O P F 3 9 > Q = F l 2 = \ 9 4 n a ] 8 k O ; 5 7 H p ; = Y 9 ? Ov* 7 u � N = 4 k < R 4] 8 N ; k= Q 2 l 2 = \ 9 4 n a; O R � oQ = F A B � 4 < R 4 L ; N cR6 �L 5R 6 _ = F s W M^ _ O ; P F � 5 � 5 F 3 � ] F O d = B i d 5 G Y 45 _;2W H 5 K P J k O2 q I O R od = G F O; = F] 8 P | QaR \ M s P B K 5 f b nv � ����� �� � � �� . � �� # - %1 d = B i3 a = J_\R BL Os= G H c L = u 9 H O W x ^ ? OFs O R U P B ¥ 9 4 = Q ^ F = j � H = M P S =3 8 5 \ V 4O6 } Q=;6 _ 3 6 45; ¤P m I P Q � c R \ H = 4¦v3 H { 5 � q U O 5 S L ; 3 o 5 U n a ] 8 W ( \ Q O s O P F� H = M P S ^ ? O d k { R \ _ = F ; 5 \ _ q F = z P oR _ = F P o { = F g B h 4 s = J O R U ; 2 R Z k O 3 G b 5 o q F = z k P � W F 3 o 5 U ^ 4 ] 8¤r = 6 2 4 s O P 6 Fdb� �k O P o { = 6 F � H = M P S N = 7 J L ; g B h 4 s O R U � m ?¦TFQ L 5 mW (~ O P 6 I ~ 5 6 K 2 ' B E u 6 o q F = z 3 K ; = ? W F < O 5 U O HR _ = �v � ����� �� # - % � � � �� 6$�1d = B i3 \ 7 Q O s = Jq � z k O2 � \ J = 7 JA B B � o= Q 2 N = > H O g ? 5 o W M p R _ p R _ g � � = Q p R H k < L 5 V F 3 8 5 \ V 4 s O R UW a O L O3 4; 5 _vk On a ] 8L 5 6 [ \ 4 W 6 F N O 5 o 3 4 3 4 ] M 3 \ 7 Q O ^ Q O R J< = B f 7 84E=P �e B 4 c p; 5 7 H p ; = Y 9 ? Ov< = 7 : = ( 4= 6 J d = B i W H 5 | \ Q O6 � O 2 R 6 Q = F2 �W 6 F 2 W 6 U ] I R _ = F � L ; q F = z 3 9 Z O Lvk O 3 9 ? ; n a ] 8 s = b W F W � H = \ �3 4 ] M n a ] 8Q = F ; 5 _ p ; = Y 9 ? OR< = ¥ : k Or 2 R bP Q kp ; = Y 9 6 ? O2 ; 5 6 _ p ; = Y 9 ? O < L 5 U L ;R \ _ = F � \ J = 7 J d � 5 ov

www.mirjalili.net

12

$" , � . � � � 6" ,< = B f 7 8 � 2 P _ � 2 P _` m z^ z 5 4< = B f 7 8 ^ > Q O< = B f 7 8 N = Q = i N = Q = iL = F * Q N ; P F { = F { = FA B Q = iL = F * Q N ; P F A B Q = i5 f b W F ^ M P Z 5 f bt w 8 W F ^ M P Z t w 8^ 4 ] 8 ^ ? O L ^ 7 ? W F ^ M P Zp R \ J ; ^ ? O L^ 4 ] 8 � � ^ 7 ? W F ^ M P Zp R \ J ; � �s L O P m � O � z 5 o P m I^ M P Z ` Q P > o s O P F ` Q P ? � ����� �� � � �( � 6 * � � - � # - %7 " &1W F = b = Q ^ M P Z= G 9 6 ? ; = 6 Q 2 = 6 J 2 k = F 3 a = b; T5 6 G Y 4 s O L Od U = I3L L ;?W F d = B i N R H =' E _� = H P m I L = M d = } H O r = Z L ;¤W FP � = 6 I3 6 \ 7 Q O X 6 Y Z2 ; 5 6 I N = 6 b A Q P Q = ?¦^ ? Ovn a ] 8 W M 3 Q = J = b L ;< = x P Z 3 \ 7 Q O3 4 L O P z p ; = Y 9 ? O ; L 5 4 ^ ? ;R H P B Kn 6 a ] 8 k O R Q = F ; 5 _ p ; = Y 9 ? O P Q k� � � � �� � �� � � � , 6 � � � � � � � � � �� � � � � �� � � �� � � ��� � �� � � �� ! " � � � � � � # $ % � & � � ' � � � & ! ! ! ( )� � ! ! ! * � + , - ( . / � 0�� ! � � � � # $ % � & � � � 1 � 2 3 � � 4 2 � � / % 5 � 1 � � � �' � � � " � 6 � 7 " 8 9 : � � * � +' ; � / < = � > 7 % ? @ 5 0 � � / % � � �

www.mirjalili.net

13

� & � � ( � 6 * � � � 3 � � " � � � � � / % � & � � � 1 � 2 3 � � 4 - � / % 5 � 1 � � � �� 5 �' � � � � $ � � � 1 5 � * 5 � / � 0 1 5 � � � � � 7 � � +� ! � � � / ! % � & � � � � 7 � � + 4 - � / % 5 � / % � 1 � � � �' � � � � $ � � � 1 5 � * 5 � / � 0 1 5 � 5 � � : � 5 � 1 � 8 9 � " � � �' � � � � " � � � � � ' 0 � ; � 7 � / % � � � � 7 � � " � � � � + � % ( � 6 * � " � � � / � 0� � ' 9 � ! % � 3 � ! � � ! � � � � # $ % � & � � � ' � � � # $ % �0' ; � 5 � ' � / 8 % � � � $ � � � / � � 9 � � / � 0� � ' 9 � ! % � � 7 � � ! + � � � � � # $ % � & � � � ' � � � # $ % �' ; � 5 � ' � / 8 % 4 � � � � $ � � � / � 0 / % 5 �� ! � / % � & � . � ' � � � � � ' 7 � � 6 � � / % 5 � / % �/ ! % 5 � / 8 ! % � � 1 � � ' � � / � 0 � � � � � � 7 � � + / 8 %� � 5 � � =� ! � / ! % � & ! � . � ' � � � � � ' 7 � � 6 � � � = / % �� ! = / 8 ! % � ! � 1 � � ' � � / � 0 � � � � � � 7 � � + / 8 %� � 5 � ? � � 5 � " � � �' � � ? � � � ; 5 � ? � * � ) � " � � � � # $ % � * � �1 � 5 - � 5 & ( ), * %� $ � � �3 � � / 8 % � � " � � � / % � & � � � � # $ % � $ � * % 6 � � 0 � 8 � ) � $ � � � 6 � � 0 � 8 �

www.mirjalili.net

14

� ��� � � � � � � � � ��+��4 % � � % � / � � & ' � � $' � � � �� � � , - � .1 ; <=�==@S U E A � � T ] � U L � R � \ A ^L = u 6 9 H O s = J p = | 9 ? ; 2 n a ] 8 p k = ? 2 = J 5 f F = o t V H q h 4 R Q = F = G H c p R \ J ;q z O R Z� ���P 9 43 w S O W f U = S2� ���P 9 4s ; 5 7 8 W f U = Sk O1 P F r = w 9 H O � 5 m IL = u 6 S s 5 zR _ = F W 9 _ O ;v ; <=�=@=;\ � � R � \ A �G E R T O � G T LA B^5 f F = o= ? = Qp k= 6 G H c p R 6 \ J ; L = u 9 H O s = G J = | 9 ? ; 2 n a ] 8W Q = i = Q � m ? k O 3 u E F � B J W M R H 5 _ W 9 I = ? s O W H 5 K W F R Q = Fcf i � 5 H P J k O p ; = Y 9 ? O ` H = 4 = G HW2 L O P 6 S R _ = � H = J 3 b 2 P Iv ; <=�=@=�A B � I � G E � N T � I N G � � �^= J 5 f F = os P Q 5 V o n a ] 8 2` H = 4 R Q = � HL 5 � 8= \ F q I O ; W F L 5 H 2 O 5 J R H 5 _v5 f F = oL ; W M 3 Q = J���T R H 5 u B 4 W 9 I = ? 5 _ k = F s O L O ; s = J = \ F 3 b L = I L O 5 Q ; s P 9 4� \ 6 b k O R Q = F 2 k 5 > H ; O 5 4o s = J * B 9 ? ] i = Q�R _ = F p R _ R B Qv ; <=�=@=?k O P o R \ f F s = J p k = ? 2 = G H = 7 9 I = ? W 7 J W m w H A Q P o { = F P F� ^ 4 ] 8 ) Q q z O R Z R Q = F P 9 4 s L 5 H¤N k ) 7 u � � O P �¦; ; P K t V H � H L e 4 P zv ; <=�=@=s = 6 Y � O q Q = 6 ? 2 q h 4 2 § 2 P I s = G J O L p R \ \ M ' E u 4 s = J 5 f F = o = J N = 7 9 I = ? q I O ; L ;� w ? k O P o A B a = i � = Y o L O L ; R Q = F T { = F L ; % Q P Z k O 3 _ = H ; 2 ; N R _ ` 7 b ^ f � F T % Q P Z¤s 2 L s = 6 J 5 f F = o � = Y o L O L ; L O 5 Q ;���= o�P 2 M O R Z = o = J l L ; s 2 L s = J 5 f F = o 2 P 9 4��� M k O P o { = F P 9 4¦; ; P 6 K t V 6 Hvt V H T 3 4 O e : O s = J 5 f F = o 2 n a ] 8 P F p 2 ] 8 T ; = Q k r = � 9 _ O q F = z ; O 5 4 ; 5 b 2 = Q P m I r = 7 9 Z O = F s = J q h 4 L ;; 5 _ 3 4 W B U 5 o � M s 2 L n a ] 8 3 9 Z 2 � M * Q ; e H � = Y o L O L ; s L O 5 Q ; * � 5 M s = J 5 f F = ov � ��+��� / � � � � $ 7 - & ' � � $' � � � �� � � , - � .1 ; <=�=>=@T 1 P F s = J P B o P F = J 5 f F = o 2 n a ] 8 t V H3 K R 6 \ H O L s = 6 7 \ J O L s = 6 G � O P � 2 n a ] 8 s = J W Q = iT N = 9 I L ;T^ ? O � 5 \ 7 4 3 � B � � P U = \ 8 P Q = ? 2 = J p P E Uv ; <=�=>=>P 6 | Q ; 3 H 5 H = 6 z p R _ t V H s 5 f F = o N R _ p R Q ; k O ` H = 4 W M 3 o L 5 V F 3 o = ¥ B f � o s 5 f F = o t V H^ ? O � 5 \ 7 4 T ; ; P Kv ; <=�=>=�8 = F A B : 5 C > 4 ' B E u o W F W M s P | Q ; n a ] 8 2 5 f F = o t V H \ i3 9 7 > z = Q W 7 J N R _ N = G � O P � = Q 5 f F = o P J k O2 3 4 = [ 9 H O 2 p R \ J ; L O R u JP 6 J W 6 F = Q 2 R _ = F s P G _ s = 7 \ J O L 2 3 K R \ H O L s = 7 \ J O L ; P M L = M n Z O e 4 < L 5 Uc; ; P K = G HT^ ? O � 5 \ 7 4v ; <=�=>=?l L ; = Q p P } \ i W ( B o L 5 V F T = J 5 f F = o 2 n a ] 8 t V HTd = F ; P H 2 W f i p O LT% Q P Z k O e Q P K p O LTp O L L 5 � 8cD o= J N = u HT^ ? O � 5 \ 7 4 ; R \ � F 3 H = 7 9 I = ? L ; O L W Q 5 G o p O L 2 P B K L 5 H 2 5 _ k = Fv

www.mirjalili.net

15

; <=�=>=� P � L ; W M 3 a = G H = 7 9 I = ? L ;cp R _ 3 \ B F D B i = J 5 f F = o t V H q h 4 = G H¤2t V H q h 4 A Q O R _ = F W 9 _ O R H 3 o = S = \ 4 < O L P w 4 A Q O = F 2 p R B ? L 5 f F = o L 5 4 O A B : 5 C > 4 R B a = o W F¦TR 6 \ Y & 5 4 5 f F = o N = K R H L O ; ; 5 I 5 f F = oR \ Q = 7 H t V H p R _ A B B � o q h 4 L ; O Lv � ��+�+( � $ % / 0 %� / � ' 7 � � "' � � � �� � � , - � .1 ; <=�=�=@= J 5 f F = o W B f M L ;n a ] 8 2R 6 Q = F T R 6 _ = F 3 f I O ; 3 ( Q P 9 ( : O < O e B G } o s O L O ; W M 3 o L 5 U L ;y 5 Y H k O s P B K 5 f b L 5 [ \ 4 W F d k { < O R B G 7 ocF lWq I O ;N cT; ; P K 3 \ B F D B iv ; <=�=�=>B i n B ? P od =2 s P Q 5 V o n a ] 85 f F = o= Jp P B � 2 � H L = FTP Q = 6 ? s 2 L = Q L O 5 Q ; s 2 L n B w 9 > 4^ ? O � 5 \ 7 4 R _ = � H N R B � P F q F = z W M 3 o L 5 V F p P E U 2 ^ I L ; R \ H = 4 3 � B � � 2 3 H = 7 9 I = ? P U = \ 8v ; <=�=�=�= J 5 f F = oq 4 = 6 _ T � P 6 h 9 4 n a ] 8 2 = J 5 f F = o k O P B � W F s P Q 5 V o n a ] 8 2< O 2 ; O 2 = 6 J W 6 Q = i O ; P i L 5 H 2 3 ( Q P 9 ( : Os kc< L 5 V F R Q = F = G HjR H 5 _ 3 Z O P � ^ F =vt V H5 f F = os P Q 5 V o n a ] 8 23 o L 5 V FW 6 M t V H k O � iTk O 3 u E F = Q 3 4 = 7 oc~ k P : < L 5 U W F 3 9 M P Z W H 5 K P J s O L O ; NTg ? 5 o ^ M P Z 2 D I P � ^ ? O � 5 \ 7 4 R _ = F O 5 J N = Q P bv ; <=�=�=?= J 5 f F = o ^ I = ? L ;n a ] 8 2= J 5 ( ? ; = } Q O k O R Q = F N = ( 4 { O 3 9 ZT� O L 5 ?= JP B � s = J k L ; 2 ; 5 b 5 F 2 L = � � 2 ; P K N R _ ` 7 b q h 4 W M r 5 7 � 4cL = � H O 2 N = K R H P i W H { N R 42 < O e B G } o3 S = 6 � O q a = ? 2 ; 5 _T; P M l = \ 9 b Ov � ��+�3( � $ % / 0 %� 9 � " ' � � � ! � - %' � � � �� � � , - � .1 ; <=�=?=@= J 5 f F = on a ] 8 2L ; W 6 M R H 5 6 _ W 9 I = 6 ? s O W H 5 | F R Q = F = G H c p R \ \ M P u 9 \ 4 s = J p = | 9 ? ; 2 w 4R Q R _ s = J ; = F N 5 � 3 F P E 4 q 4 O 5 8 q F =Tp k P : A B 4 kT^ F 5 � LT2 % Q P Zv v vL O ; L 5 6 I P F 3 S = M ^ 4 2 = w 4 k O R _ = Fv ; <=�=?=>= J 5 f F = o 3 Z O P �s P Q 5 V o n a ] 8 2k O P 9 K L e F 3 h m ? W M�o W 6 F R Q = F R H L O ; ` F P 4 P 9 4a �R 6 B r = ¥ 9 _ O W H O 2 P i s O L O ; t ? = h 4 � R \ G 4¤W ? W Q = i q z O R Z¦R ? P Fv6 J p k = ? 2 = J 5 f F = o A Q Os =cR 6 Q = � H = 6 G H ; ; P K 3 ( 9 4 N = 7 9 I = ? e B H P z 2 k O R H O ^ ? ; N 5 � 3 4 2 = w 4 P B � P U = \ 8 P F = G \ ov ; <=�=?=�= J 5 f F = o 1 = V : O L ;s P Q 5 V o n a ] 8 2k O R 6 Q = F = 6 J N = 7 9 I = ? 3 b L = I W H R F P F p P � 2 s L O 5 Q ; 2 s ; { 5 S p R H L O R G | H s = J ^ > Fs e f S � ] i r 2 LTR 6 _ = F L O ; L 5 6 I P F 3 F 5 f m 4 d = ( h 9 ? O k O W M s 5 h H W F ? O; 5 _ p ; = Y 9vH W M ; 5 _ n B [ \ o s 5 h H W F R Q = F L 5 M 4 s = J p R H L O R G | H 2 = J ^ > F ; O R � o 2 ^ B Y B Mk O 3 7 B cH= GR _ = F 3 S = M 3 : = 7 9 Z O g Q O P _ W B f M P F O P F L ; ^ 4 2 = w 4 s O P F e B Hv

www.mirjalili.net

16

; <=�=?=?4< = � ? = h3 i5 f F = o p k = 6 ? k = 6 B H ; L 5 4n 6 a ] 8 2 = 6 J6 h � 4 = 6 F % F = 6 m 4 R 6 Q = F �¤2 3 6 i s k = ? 3 i¦T( B \ ( o 5 a � 3 ? L P F = F2 � = I 3 a = ? = \ _ 2 3h � 4 A B \ � 7 J �¤s = G H = 7 9 I = 6 ? s O P b O 2 � P � W 4 L c A 9 F¦; P B K d = } H Ov ; <=�=?=s = 6 J N = 7 9 I = 6 ? L ; < { = V 6 o O s = 7 \ J O L = F % F = m 4 R Q = F s ; { 5 S s = J p k = ? < { = V o O p 5 h H s ; { 5 ST6 h � 4 s = 7 \ J O L A B \ � 7 J 2 N = 7 9 I = ? 3 f 4 < O L P w 4 � Q 2 P o 2 A Q 2 R o P 9 S ; g ? 5 o p R _ P u 9 \ 4 < O L P w 4 n J ;N = 7 9 I = ? 3 f 4TR _ = F d 2 ; R f bv ; <=�=?=�5 f F = o p k = ?n a ] 8 2 = Jh � 4 L ; p R _ P M y ; L O 5 4 % F = m 4 R Q = F N = 7 9 I = ? 3 f 4 < O L P w 4 n G H ¤W 4 L c A 9 F s = G H = 7 9 I = ? s O P b O 2 � P �¦; ; P K W � ? = h 4 2 � P �T^ ? O P Q k L O P z W F = G H c A Q P o p R 7 8 W M� � P F L = F W f 7 b k O p R H k s = J L = F 2 = J L = F P ? T p ; P 4 L = FT� = I D H O LT; = 6 F s 2 P 6 B H * B o = 9 6 ? O 2 L R B J L = u 6 ST k k O 3 _ = H s = J 2 P B He := ? 2 W :Q= 4 ; k O 3 _ = H � = > � H O 2 � = � w H O R \ H = 4 q 4 O 5 8 PTA 9 6 F 3 K R 6 B M P oT< O P 6 B B ¥ o � H = } 9 4 = H s = G 9 > u H 2 ^ F 5 � Lv6 h � 4 L ; § L R 6 \ 4 < O L P w 4 2 g F O 5 � ^ Q = 8 L = F R Q = F = J L = F A Q O n u 6 _ P K W � ? = h 4 2 3 F = Q k L O N O P Q O N = 7 9 I = ? 3 f 4 < O L P w 4; ;v � ��+��( � $ % / 0 % 0 � / $ 7 $ ' � + $ ' 4 � �� � � , - � . ' � � � �1 ; <=�==@5 f F = o � : = V 4 � 5 Hn a ] 8 2 = J¤= 6 J 5 f F = o k O P 6 B �n 6 a ] 8 2^ 6 z 5 4 s P Q 5 V 6 o¦s = 6 J W 6 Q = i 2 p R H L O R G | HcR H 5 u H l O P I 2 p R B ? 5 i 2 R \ _ = F d 2 = w 4 2 d O 2 ; = F R Q = F Nv ; <=�==>l 5 � N 5 � 1 O P 9 Z O q F = z � : = V 4 k O p ; = Y 9 ? OT� = M2 ` Q P ? r = � 9 _ O q F = z s = J * B 9 ? ] iT = J 5 f F = o L ;s P Q 5 V o n a ] 8 2^ ? O � 5 \ 7 4 3 ( Q P 9 ( : O < O 2 ; O s O L O ;v ; <=�==�5 f F = o L ; s O W u B _ � 5 m ? k O p ; = Y 9 ? Os P Q 5 V 6 o n 6 a ] 8 2 = J¤3 > 6 Q 5 H W u 6 B _ k O P 6 B �¦ P | 4 ^ ? O � 5 \ 7 4cR \ _ = F 3 f I O ; X S = h 4 W ( � _ s O L O ; = Q p ; 5 F A ( u H s = J W u B _ k O W ( Hv ; <=�==?= J 5 f F = o p R H L O R G | H s = J W Q = is P Q 5 V o n a ] 8 2W 9 6 _ O K L = 6 M A B 4 k q I O ; W M 3 o L 5 U L ; R H P B K L O P z 3 \ 9 F p ; 5 : = _ N 2 L ; R Q = F ; 5 _v ; <=�=== J 5 f F = o L ;s P Q 5 V o n a ] 8 22 s L = K k = 6 ? s O P 6 F T R H P B K 3 4 L O P z N = 7 9 I = ? s = 7 H s 2 L W M= 7 H � : = V 4 k O p ; = Y 9 ? O T N = 7 9 I = ? s L = 7 � 4 = F 3 | \ J = 7 JT4 W B U 5 o; 5 _ 3v � ��+��� � - * ! � 0 % ( � $ % / 0 %' � � � �� � � , - � .1 ; <=�=�=@3 6 f 4 < O L P 6 w 4 n J ; e B 6 ? 6 h � 4 g F O 5 6 � % F = 6 m 4 R Q = F 3 ( Q P 9 ( : O < O e B G } o 2 = J n B ? N = 7 9 I = ?¤= J N = 7 9 I = ? 3 z P F < = > B ? = o s O P b O 2 � P �¦2 p R _ O P b Ot 6 ? = \ 4 % Q = 6 8 2 D 6 M 2 L s O L O ; 2 p ; 5 FR H ; P K t V H ^ F = j < L 5 V Fv

www.mirjalili.net

17

; <=�=�=>5 4 L ;O` z1 P F ` m zL O e F O ; 5 b 2= J 5 f F = o s O P F N = � B 9 u is P Q 5 V 6 o n 6 a ] 8 2k O W 6 M 3 6 \ 7 Q O p P G F 1 P F < L R z3 4R H P B K3 4 O e : O^ ? Ov1 P F ` m z W M 3 o L 5 U L ; P | 4; 5 IR _ = F P m I p R H P F A B F k Ov ; <=�=�=�< R 6 4 L ; W x R H 5 _ < L = [ H 2 3 J R H = 4 k = ? s L 5 � R Q = F s L O P m � O 2 3 \ 7 Q O n a ] 8 2 = J 5 f F = oL s P F L = x ^ B : = � SR \ _ = F A _ 2v ; <=�=�=?= J 5 f F = o 3 ( Q P 9 ( : O < O e B G } o R Q ; k = F 2 k 5 B S s = J W � Q L ;3 \ 7 Q O n a ] 8 2s O W 6 H 5 K W 6 F R Q = F; 5 _ W 9 > F 2 k = F � 5 V E 4 R B f M = F = G \ o 2 p ; 5 F L 2 ; N = M ; 5 M � P 9 ? ; k O W M ; 5 _ 3 Z O P �v ; <=�=�== J 5 f F = o L ;n a ] 8 2O L 5 HH6 7 B H = 6 Q � = Y 6 _ * B 9 6 ? ] i � \ b k O 5 f F = o D Q = 7 H � m ? P K O 3W R _ = F W F = u 4 � : = V 4 = Q 2 � = Y _Tq z O R 6 Z R Q = F 3 ( Q P 9 ( : O < O e B G } o 2 3 a = \ _ 2 L s = J � 4 {�k O P 9 7 B 9 H = 6 ? R \ _ = F W 9 _ O ; W f U = S * B 9 ? ] i s = J W z L 2 � m ?v ; <=�=�=�5 f F = o � B J L ;s P Q 5 V o ^ 4 ] 8 23 7 H2 W f � 6 _ N 5 � 3 ( Q P 9 ( : O P B � s k O ; P i L 5 H k O N O 5 o c; P M p ; = Y 9 ? O D oTi R \ H = 4 � = I ; L O 5 4 L ; P | 4> 4 k O p k = b O t > M = F 2 3 9 Y H ; O 5 4 s = J p = | u Q { =CA B : 5 < O L P w 4 s O P b Ov � ��+��� ) % � � � � ' * � .' � � � �� � � , - � .1 ; <=�=�=5 f F = o p R H L O ;s P Q 5 V o n a ] 8 2 = J; O 5 6 Z P 6 F O P F L ; 3 H 5 H = 6 z ^ B : 5 C > 4�3 : = 6 7 9 Z OTR 6 \ H = 4 � 5 w ?T< = � m z l = o P iTs L O R G | H k O 3 _ = H < O P � = E 4 P Q = ? 2 3 | 9 S P K 1 P FH c= GO P 6 _ L ;QO L A 7 Q O P 6 B � g ; L O ;vp R 6 G 8 W F O L = J 5 f F = o 2 n a ] 8 ~ k 5 4 c 2 t V H ^ B : 5 C > 4 p = K L = M r 5 C > 4 3 H = 7 9 I = ? s = J p = K L = M L ; ; L O ;v ; <=�=�=>5 f F = o d = 7 o= JQ = F 3 \ 7 Q O n a ] 8 2Rt ? = \ 4 g Q O P _ L ;R H 5 _ s L O R G | HvF2 R V 6 z W 6 ( Q L 5 m L 5 [ \ 43 H = ? L � ] � O 3 9 ? L ; W F O L 3 f U OQ = 7 H\Rvs L O R G | Ht ? = \ 4 g Q O P _ L ;q 4 = _s ; = 8 N ; 5 7 H e B 7 o � O P � n a ] 8 t o P 4 r P 9 \ M = o�= 9 Q = G H 2 3 o 5 U 2 L O ;N = \ B 7 � O= G H c � B h U ; P M L = M k O; P K 3 4;v ; <=�=�=�^ S = [ HTR _ = F W 9 _ O R H k 5 } 4 < = V E u 4 = F 3 o P Q = ¥ 4 W ( B o L 5 U W F 5 f F = o s L = M � H L 2 P B 7 � o; L O R H k 5 } 4 ; R } 4 I O W F k = B H 2 ^ ? O s L 2 P �v ; <=�=�=?2 R 6 B Q � o < L 5 6 U L ; T R 6 _ = F t V H q h 4 k O N c 3 a = } F = b W F k = B H 5 f F = o P B 7 � o s O P F W � H = \ �^ ? O k = } 4 p = 7 ( Q < R 4 W F P 2 M O R Z A Q e | Q = b ^ z 5 4 5 f F = o k O p ; = Y 9 ? O g F P Q y A B : 5 C > 4 < L = [ H ^ h ov ; <=�=�=�5 f F = o N R B � P F = Q 3 a = } F = b 2 t V H W � H = \ �s P Q 5 V o n a ] 8 2 = Jt B ? c = Q < L = > I t b 5 4 t V H q h 4 W FR 6 \ M ; = 6 } Q O s P G 6 _ s = 7 H L ; 3 | \ J = 7 J = H 2 t V H q h 4 L ; L = } \ G F = H ^ B � � 2 = Q 2 ; 5 _T 2 5 f F = o p R H L O ;2 ^ 4 ] 8T 3 ? P 9 ? ; d R 8 < L 5 U L ;t V 6 H q h 4 s k = ? k = F 2 P B 7 � o W F � & 5 4 * f 4 * : = 4 ^ ? Ov

www.mirjalili.net

18

; <=�=�=�t V H q h 4 < = V E u 4 s 5 h H W F W � H = \ �2 s P Q 5 V o n a ] 85 f F = o= JR \ M P B B ¥ oTW M s L 5 m F b 5 4 P B B ¥ o A Q O< = V E u 4 P B B ¥ o t= G H c; ; P KTp R H L O ; 2 * : = 42 s P Q 5 V o n a ] 85 f F = o= J^ 6 ? O � 6 & 5 4; ; P K A B 4 = o l 5 V 4 < O L P w 4 = F 5 f F = o ^ w F = m 4 �O ; R } 4 W M R \ M � B h V o s L 5 � O L 5 f F = o s P B K L O P z ^ B � � 2v ; <=�=�=�T ] � E A � IX Y Z [ G A B U \ ] A W$R Q ; k = F= J 5 f F = o k Og ? 5 oy r 5 C > 4L O R 6 Q = i L 5 6 [ \ 4 W 6 F � ] V Q T N ; 5 F; P B K d = } H O P Q k q Z O P 4 L ; q z O R Z R Q = F N c p k = ? 2 5 f F = o 3 \ 7 Q O 2 d = ( h 9 ? O� � � ��T N c k O p ; = Y 9 ? O W F � 2 P _ k O q � z ��T N c k O p ; = Y 9 ? O L ; W Y z 2 ; = } Q O 2 < O P B B ¥ o W H 5 K P J k O � i ��; P B K L O P z R Q ; P o ; L 5 4 s L O R Q = i 2 d = ( h 9 ? O W M W F = u 4 q 4 O 5 8 2 W : e : k T N = S 5 � T ; = F � 5 z 2 k O � iv � ��+��9 % � & � � ! " % � , 6 � - % � �� # - % � � � �' � * - � / .� , - � .� �1 ; <=�=�=@p R _ p ; = Y 9 ? O s P Q 5 V o n a ] 8T^ ? O A ( 7 4< 2 = Y os = J= F s e B � = HL ; p R _ ' E u 4 n a ] 8 < O L P w 4 A Q OW 9 _ O ;R _ = FTF 3 7 a ] 8 A B \ �� P ucW ( Hs O L O ;d 5 G Y 4p ; 5 Fn B 7 V o L ; 2s P B K3 � H = 4; = } Q O R \ ( H^ ? O k = } 4 Tv ; <=�=�=>5 f F = o � H L 3 K P B o 2 s L 5 H l = o k = FQ = FR^ 6 Q � L q 6 F = z 3 6 9 Z O L W 6 F W M R _ = F s L 5 �� L ; 2 R _ = Fv ; <=�=�=�5 f F = o= J3 \ 7 Q O s P Q 5 V o n a ] 8 2Q = FRn u � R Q ; L ; 2 t ? = \ 4 � = Y o L O L ;R H 5 6 _ t V HvL ; k O R Q = F T ^ ? O � B � � 3 � B � � L 5 H W x 3 a = G H = 0 4s = G | H LL 5 H ; 5 I 2 L 5 H l = o k = F� H L t _ ; O 5 4 26 H = Q 2L 5 3 8 5 \ V 4; P M p ; = Y 9 ? Ov ; <=�=�=?3 H = 4 kW MP m I4V5 f F = o L ; � PTO R H ; 5 b 2 P | Q ;T R _ = F W 9 _5 f F = 6 oR 6 Q = F�= � Q P 6 ?q 6 h 4 k O P Fp R B �; 5 _v � ��+��9 % � & � � ! " % � , 6 � - % � �* - % * - ) & � # - % � � � �� - * �1 ; <=�=�=@3 � B � � L 5 H P K Ot V H q h 4 L ;»% Q P Z P F O P F L ; 3 \ 7 Q O n a ] 8«R _ = F n MTJ O P 6 SN ; 5 6 7 H n 3 S = M 3 Q = \ _ 2 L% Q P � k Os = J � O P �s L O P m � O 3 Q = \ _ 2 L= Q= F n a ] 8 A 9 I = ?L 5 6 H l = o k = F s = J � H L t _ 4 O e : O^ ? O 3v ; <=�=�=>q 7 ( 4 n a ] 8 k O p ; = Y 9 ? O % Q P Z d = | \ Js L 5 HT3 4 ] MQ=3 o 5 6 UW 6 F ^ Q O R 6 J L 5 6 [ \ 4 W 6 F 3 b 2 P Is = Js L O P m � OL O P S s = J P B > 4 22= Y � O < O e B G } o L O P w 9 ? O N = ( 4�% Q P ZU 5 o; 5 _ 3 4 W Bv

www.mirjalili.net

19

; <=�=�=�O P J Q R S A H � I E� Q T � T ] R T ] E N� P � A ] O � T Q � � T � � ]^ � � � # � % )� � # # �& ) � $ ) & $# � ) . � � � # � )N = ( 4 2 3 a = ? = \ _3 F = Q � = Y � O < O e B G } o% Q P Z e 4 P z= J l L ;¤s ; 2 L 2= J¦3 b 2 P I 6p O L 6 = JL O P S s = J § 2 P Is L O P m � O e � ? ; <=�=�=?' E u 4 e 4 P z � H LN = ( 4 p R \ \ M3 4 % Q P Z � = Y � O < O e B G } oR _ = FvW 6 F = F < O e B G } o N = ( 4 � H L = F = Q 2 5 f F = o s P B K L = Ms e B 4 c� iW \ B 4 kR H L O ; L O P z N c s 2 L < O e B G } o W M s O' E u 43 4; 5 6 _vL ; L 5 UW F < O e B G } o W ( B o^ ? O A ( 7 4 R \ _ = F e 4 P z p R 7 8 L 5 �A B : 5 C > 4 ' B E u o W FN ; P 6 M � 6 H L W F k = B H � iR _ = F W 9 _ O R H ; 5 b 2 W \ B 4 kv ; <=�=�=D o c < O e B G } o 3 f B : ; P J W F = \ F P K O9 6 _ O ; L O P 6 z n B w 9 > 6 4 R Q ; k O L 2 ; 3 H = ( 4 L ; 3 H = u HW R _ = FTR Q = FH c N = ( 4= GF=n a ] 8t ? = \ 4 s = J = 7 H ^ G b 2D o c < O e B G } o3 H = u H< = V E u 4 % � �»n 6 a ] 8 3 \ 7 Q O s P Q 5 V o«; 5 _ A B � 4v ; <=�=�=�^ 4 ] 83 6 \ 7 Q O s P Q 5 V 6 o3 6 4A 9 6 4 = 6 F R 6 H O 5 o s L = 9 _ 5 HO T ; 5 _ p O P 7 J= 44A 9s L = 9 _ 5 HN O 5 6 \ 8 W 6 F 3 Q = G \ o W F ^ 4 ] 8s P Q 5 V o3 \ 7 Q OR \ M 3 7 H ^ Q = Y MvD 6 o c A 6 Y f o p L = 7 _s P Q 5 V 6 o ^ 6 4 ] 8 L O 5 6 b L ; q 6 7 ( 4 N O 5 \ � F R H O 5 o 3 4 3 H = u H; 5 _ P M yvs = 6 J p O L 2 % Q P Z s = Y � O q a = ? 2 ^ B � z 5 4 A B B � o = F W w � � P J s L = 7 � 4 N ] i s 2 = Z s 5 f F = o t V H; 5 _ 3 4 W B U 5 o N c L ; § 2 P Iv ; <=�=�=�4k 5 }r P 6 9 \ x s L O 2 ; O < L 5 V 6 F R 6 Q = F % Q P Z s = Y � O 2 d ] 8 O s = J n 9 > B ? ^ G b p L ; = U ; 5 _vA B \ � 7 J% Q P Z s = Y � O 2 d ] 8 O s = J n 9 > B ? s L O R G | H 2 X Y Z T P B 7 � o3 4 O e : O^ ? Ov � ��+�� �� ) � � � � � � 9 % � & � � ! " % � , 6 � - % � �1 ; <=�=@ �=@W F R Q = F ^ 4 ] 8N O e B 4A _ 2 L 3 S = M5 F ^ Q 2 L q F = z 2;T pp P B I 8 = F = 4 O; 5 u H n u � N R _v ; <=�=@ �=>R _ = F 3 \ 7 Q O s = G | H L r 2 R b % F = m 4 2 � \ J = 7 J R Q = F 3 \ 7 Q O s L 5 H n a ] 8 � H Lv ; <=�=@ �=�k O T 3 7 K L ; P ? k O s P B K 5 f b L 5 [ \ 4 W FN ; P F L = x W F^ 4 ] 8 R \ �3 \ 7 Q O L O R u JL ; s L 5 H P | Q R ( Q L = \ MW F = u 4 L 5 H ` � \ 4 ) Q 3 0 Q ; e H L ; = Ql = \ 9 b O5 _;v

www.mirjalili.net

20

; <=�=@ �=?^ 4 ] 8 * Q P K OA _ 2 L q ( _ 2 ; W F R H O 5 9 F s L 5 H3 7 a O ;* 7 u � = Q 2N kN O ; P 6 K 2q 6 7 8 T R Q = 7 Hd k { ; L O 5 4 L ;* 7 u � ^ : = Z k ON kN O ; P K 2p ; = Y 9 ? O; P K� = w : O 8 = F = o ;N O e 6 B 4P 6 m I2 P o { = 6 F ; 5 _ P 9 u B F ^ Q L 5 Sv ; <=�=@ �= � H = M P S 2 L 2 ;3 \ _ 2 L 2 ~ 5 4 = I* Q3 6 \ 7 Q O ^ 4 ] 8* 7 u 6 �W 6 H 5 K W 6 F R 6 Q = F N ks O W M ; 5 _ l = E 9 H OW F d = B is L 5 6 H s = 6 G 9 4 ] 8 P | Q ; = F � ] 9 I O 2 3 7 K L ; P ? 8 = F 2 ; ; P K q w 9 \ 4 q 4 = M L 5 �H A _ 2 L W u B 7 J n a ] 8 R \ H = 4 T q h 4 L ; ; 5 b 5 45 u;v ; <=�=@ �=�* Q L = \ M L ; s L 5 H ^ 4 ] 8 * Q P K O^ 4 ] 8T ; 2 L L = ( F 3 o 5 UR Q = F3 | \ J = 6 7 J = 6 G H c A B 6 F ; = } Q O; 5 _vA Q O W F< L 5 U* 7 u � L 5 H � H = M P S 2 L 2 ; W MN kK 2N O ; Pe B I 2 ^ S O = F N = 4 e 7 J R Q = Fn a ] 8 R _ = F 3 o 5 Uv � ��+�� �� . � � � � � � 9 % � & � � ! " % � , 6 � - % � �1 ; <=�=@ @=@FL = (B KPsL ; 3 o 5 U n a ] 8% Q P Zs O P Fp = K c; 5 7 Hk O d ; P 4 NP 6 m I ; 5 6 b 2L ;N cq 6 h 4 ^ ? Ovn 9 > B ? A Q Op R \ J ; L O R u JR Q = F% � �W 4 = H P Fs e Q Ls O P F 3 f � zW B f E ok O ; O P 6 S O ` z 5 4 W FH = ( 4s = 6 G ; L 5 4H q 7 8 P [ HQ = 7Rv ; <=�=@ @=>% Q P Z P Q � c9 4 ] 833 o 5 U^ ? OJ = | 9 ? ; g ? 5 o W M3� = ITN = > H O s O R U * 7 M N 2 R F 23 4 P u 9 \ 4 3 8 5 \ V 4 s = J O R U = F; 5 _v% Q P Z P Q � cR Q = FR _ = F P Q k < = V E u 4 s O L O ;� $4 W F W M R _ = F 3 Q O R U s O L O ;3 H O e BS d = 7 o L ; = o R _ = F P o R \ f F g B h 4 s = J O R U k O W b 5 o q F = zq 6 h 4 s = ¨ ; 5 _ p R B \ _ L = Mv $N = B 4 k O 3 K ; = ? W FP Q = ?2 = J O R UR _ = F ' B E u o q F = z P | Q ; 3 o 5 U n a ] 8v $= oW 4 O ; O A B \ M = ? W B f E oR F = Qv ; <=�=@ @=�P Q � cd ] 8 O% Q P Zs = J W H 5 K W F R H O 5 o 3 4o 2 = Y 9 43R _ = F3 : 2p R _ W 9 S P K L = 0 F ~ 2 LR Q = F t ? = \ 9 42 s P F L = M g Q O P _ = F; L 5 4 N = 7 9 I = ?P [ HR _ = Fv ; <=�=@ @=?R H O 5 o 3 4 % Q P Z d ] 8 O P Q � c] 8 = Fan* 7 u � 2 s L 5 HN kp O P 7 J_ = FRv ; <=�=@ @=B ? t V H W x ; 5 _ 3 4 W B U 5 op R \ J ; L O R u J n 9 >= F| \ J = 7 J3N = 6 ? = \ _ L = x 2 A B : 5 C > 4 ; P B K d = } H O g F P Q yv ; <=�=@ @=�L ;N = 4 k P Jg w S R Q = F] 8 ) Q; 5 _ P u 9 \ 4 3 o 5 U ^ 4v ; <=�=@ @=�W f B ? 2 P K Os Os = J � H = x P S k O T ^ ? O P B ¥ 9 4 = Q ^ F = j s = J � H = x P S L ; O R U D E i W F L ; = z k O D B F P B ¥ 9 4db

� { = Fk O P og B h 4 s O R U^ B � � 2 = o T ; 5 _ p ; = Y 9 ? OL O P m � OsO L= w : OR \ Mv ; <=�=@ @=�R 6 Q = 7 H D 6 E i P 6 B ¥ 9 4 2 n [ \ 6 4 q 6 U O 5 S L ; O L 3 o 5 6 U n a ] 8 R H O 5 9 F 3 J = | 9 ? ; W � H = \ �§ 5 4 r 5 � k O N O 5 o 3 4P F P B ¥ 9 4L ; < O P m I s OW b= Q 2 { = Fs L 5 S k = B H2s L O P m � OOp ; = Y 9 ?P M;v

www.mirjalili.net

21

� ��+�� �� $ � 6 � # - % � � � � 9 % � & � � ! " % � , 6 � - % � �1 ; <=�=@ >=@N c 2 W 9 6 _ O ; p R _ p ; = Y 9 ? O N = F k k O 3 S = M 3 J = K c R Q = F 3 4 ] M 3 \ 7 Q O n a ] 8 N = K R \ \ M W a O L O\ x � L ; 2 X Y f o 3 9 ? L ; W F O L\Rv ; <=�=@ >=>3 4 ] x � = � o L OA B Fd = B iR \ � = Q * Q 2 p R \ J ;5 \ _p R HR 6 H O 5 o 3 46 F< L 5 V�A 9 6 4 * 6 Q W f 7 b T p = o 5 MW f 7 b W F3 J 2 P K Tk O< = 7 f M< = 7 f x = QR _ = F ; P Sv ; <=�=@ >=�3 9 Z R Q = F = G 4 = B id = 6 B i 3 6 4 ] M � = 6 � o L O < L = 6 G 4 2 p ; 5 F � � O 2 2 p ; = ? T P V 9 E 4 N = ( 4 { O p R \ J ;= Fz^ B f F =W M R _ = F s L 5 � d = B i p R H 5 \ _� = � o L O5 h H W F3 � ? = \ 4L O P z P F; ; P Kv ; <=�=@ >=?n B w 9 > 4 3 4 ] M � = � o L On B w 9 > 4 < L 5 V F R H O 5 o 3 4¤p R \ Q 5 K s O R U = F¦n B w 9 > 4 P B � = Q 2 g ? 5 op R _ g � � s O R U; ; P K D E i 3 8 5 \ V 4 s O R U = Q 2 N = > H Ov � ��+�� +� , 6 � - % � �� & � � ! " %7 " & ( � 6 * � � - � # - % � � � � 9 % ; <=�=@ �=@n a ] 8< = x P Z 3 \ 7 Q O^ Q O R J s O P F ^ ? ;N ; P MW B f w H q Q = ? 2 < = M P Z3 a = 6 J p = | 9 6 ? ; 2 N 5 �q B w j P b= JTT R \ 6 _ = F k = ? P m I ^ ? O A ( 7 4 W xW 6 FL = 6 M3 6 4R 6 H 2 Lv8n 6 a ]T % 6 B z ; R 6 Q = FT p ; = 6 ? q G ?{ OO P b�q F = z 2� L ;R \ _ = Fv ; <=�=@ �=>W x R Q = 7 H q U = Z N = \ B 7 � O R Q = F p = K L = M r 5 C > 44 ] 83 J = 6 K c p R H P B K ^ 4 ] 8 2 p R \ J ; ^ n a ] 8 W F q 4 = x^ ? ; 3 9 M P Z9 _ O ;_ = F p R Q ; O L d k { ~ k 5 4 c 2 W\Rv ; <=�=@ �=�s ; L O 5 4 L ;W Mn a ] 8^ M P Z^ ? ;H ^ Q = Y x p R _ d ] 8 O3 7T R \ xN O 5 6 o 3 6 4n 6 a ] 8 k O ; P x p ; = Y 9 ? O 3 f B 7 ( o p R _ % S O 5 ov ; <=�=@ �=?; 5 6 _ p ; = Y 9 6 ? O N = > 6 0 Q < L 5 V 6 F = G 9 7 > z W 7 J L ; R Q = F p = K L = x L ; p R _ % S O 5 o n a ] 8v Q c 2 n a ] 8 A Q O = F N = \ M L = M W � H = \ �A BW 4 = H3 4 O e : O N = H c ~ k 5 4 c R \ _ = F W 9 _ O R H 3 a = \ _ c = J^ ? Ov ; <=�=@ �=^ 4 ] 8R Q = F p R \ J ;g 6 ? 5 o 2 W 9 _ O ; < = B f 7 8 P F 3 S = x g f > o W x ; P B K L O P z 3 9 B � z 5 4 L ; 3 : 2 T ; 5 _ p R Q ; A B � � = E 4 W B f xL ; ~ ; 5 I� P � 4P m I; P B | H L O P z < = B f 7 8 N c d = } H O k O 3 _ = Hv ; <=�=@ �=�L ;< = B f 7 8 r 5 �Y B & 2W4 ] 8^p R \ J ;g w S^ Q O R J< = 6 B f 7 82d = 6 } H Od k { < = 4 O R 6 z O W � 5 h 4 L ; P � = Z ; O P S O 3 \ 7 Q O ^ G bR _ = F 3 4v ; <=�=@ �=�3 \ 7 Q O X Y Z L 5 [ \ 4 W F ; L O 5 4 3 ¨ � F L ;d k {^ ? Os O P 6 F s P | Q ; ; P S 2 3 0 7 x s 2 P B H k O < = B f 7 8 3 | \ J = 7 J; 5 _ p ; = Y 9 ? OvA Q O L ;R Q = F ; L 5 4O L n 6 a ] 8 W 6 x 3 V 6 E _ W 6 x ; 5 _ q U = Z N = \ B 7 � O Q L ;s 2 P B i p R \ J ; ^ 4 ] 8 ) Q k O R Q = 7 H 3 4 ^ S =T R Q = 7 H 3 4q 6 � z k O W 6 x � = 6 I s = 6 J ^ 6 : = Z L ; P 6 | 4 R _ = F p R _ � \ J = 7 Jv ; <=�=@ �=�W � H = \ �J ; d = } H Op R \< = B f 7 8R 6 _ = � H A 6 7 Q O 2 l 5 f m 4 5 h H W F L = M s O P b O W 4 O ; O W F L ; = z Q = F < = B f 7 8 q MRN = 4 k = o^ S = Q L ;; ; P K � z 5 9 4 s R � F < O L 5 9 ? ;v

www.mirjalili.net

22

; <=�=@ �=�W � H = \ �g Q O P _5 bsd k { T R 6 Q c R 6 Q R i R Q ; D J = x = Q 2 ; 5 _ n x L 5 H W x R _ = F s 5 h H W F k O p R \ J ; ^ 4 ] 8 ^ ? O� = � :s = J= FR \ M p ; = Y 9 ? O L 5 H ; 5 I = Q L 5 H l = o kvR \ H = 4 3 f Q = ? 2 k O p ; = Y 9 ? O^ x O L 2 k = F = Qs = J R \ F5 _ 3 4 W B U 5 o n a ] 8 P 9 G F 3 a = ? = \ _ 2 � L ; s O P F e B H � H P � _;v � ��+�� 3� & � � ! " % � , 6 � - % � �* � � � - � � � � % & � � ' � � / - * � � � � � $ � % * � % ) & � # - % � � � � 9 % . & � / . � - � � + "; <=�=@ ?=@F4 R U k O s P B K 5 f b s O P< =k O 3 _ = H� 5 w ?; O P S Or = 6 Z L ; d = > b O ^ F = U O = Q 2 � = Y o L O k O � 5 w ?T 3 \ 7 Q O s P Q 5 V o n a ] 8 t V H P F p 2 ] 8 T = J e Q P x = I = F d ; = V o = Q; L O 5 4 t f � O L ;t V 6 Hp ; P 6 Hs = 6 J X S = h 4e B Hs L 2 P �^ ? Ovn M P m I r = 7 9 Z O W M 3 o L 5 U L ;p ; 5 F^ & = Y Z = Q 2A 6 ( 7 4 = 6 J L O e F O P 6 | Q ; = 6 F HR _ = �^ 4 ] 8 T� = H P m I N = ( 4 s L O K�^ ? O s L 2 Pvk O p ; = Y 9 6 ? O ^ 4 ] 8P Q ks = 6 J L O 5 H q 4 = _R 6 9 7 43 ( u 6 4 2 ; L k¤2 e 6 4 P z = 6 Q R B Y ?¦TL ;N = 0 4 � O P � Os = J^ 6 ? O 3 4 O e : O P M : O 1 5 SvA 6 Q O L ; ^ 4 ] 8W Q 2 O k ^ h o = J L O 5 H� �p k O R H O s O L O ; 2 R H L O ; L O P z W b L ;s 2 = > 4 s = JR H Ov ; <=�=@ ?=>t V H T � 5 w ? P m I = F s = G : O ; 5 K � O P � O L ;p = | 9 ? ;s = Jp R \ J ; ^ 4 ] 8* 7 u �N ke 6 B H ; 5 _ 3 4 W B U 5 ovR Q = F = J p = | 9 ? ; A Q OP m I N = 4 k L ;e G } 4 3 : = 7 9 Z O� 4 { W FW S = � O s = Jp ; 5 6 F^ 6 h o 2 � = I ^ � z O P 4R \ _ = Fv

www.mirjalili.net

23

� � �� � ��� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ���� �� � � � � � � � � � � � � � � � � � ! " � ��3��# ' * � � � � �� ) % * � � % ; <=?=@=@T ; O P S O � B h U ^ Q O R J L 5 [ \ 4 W F3 b 2 P I� f 9 E 4 s = JN = 7 9 I = 6 ?R 6 Q = F2 n 6 a ] 8 g 6 ? 5 o = J 5 f F = o� � O 2 �] 4 = M2L = ( _ cH ; P Kd ; P 4 = o R3 Q = G J O L R \ H O R FP B �p R 6 _ ; L O 2 N c k O W M 3 J O L k OR 6 H Oe 6 B H § 2 P I s O P F; L O ; ; 5 b 2v ; <=?=@=>$ 6 h 4 W 6 F § 2 P I s = G F L ; k O P S P F p R _ t V H 3 H O L 5 H n a ] 8 2 = G � O P � N R _ A _ 2 L k O R Q = F P m I d ] 8 O; 5 _ q U = Z N = \ B 7 � Ov^ 4 ] 8 N ; O ; L O P z N = ( 4 O P K O3 H O L 5 HL ; k O P S P FlO R H ; 5 b 2; LTR Q = FL ; 3 f h 4F ^ Q � L q F = z � 5 � 2 W F W Mp ; 5N = 6 G \ i = Q 2 � B 2 M N = ( 4 O P 9 7 M 2N R 6 _L ;` 6 H O 5 4 ^ u 6 iO LO ;L;T t V H; P K;v ; <=?=@=�P K OA 9 E Q P K r = Z L ; W M O L 3 > M = Q 2 R _ = � H R Q ; � P � 4 L ; 3 b 2 P I^ ? OR 6 Q ; P o L = 6 � ; R Q = 7 Hn a ] 8 t V Hq 7 ( 4s L O P m � O § 2 P IW Fp O P 7 J= J = 7 H ^ G b; O R � o W Fd k {4 s = G H = ( 4 L ; 2L ; t ? = \ T § 2 P I P B > 4 r 5 �^ ? O 3 4 O e : Ov ; <=?=@=?o W M 3 Q = G H = 7 9 I = ? L ;\5�q � = u 4; L O ; ; 5 b 2d = | \ JR 6 Q = F 3 \ 7 Q O n a ] 8 t V Hn 6 a ] 8 k O = o ; 5 _ p ; = Y 9 ? O N = > 7 Jb 2 P I s = J P B > 4 ; L 5 4 L ; O L d ; P 43R \ ( H 3 7 K L ; P ? L = � ;v ; L O 5 4 W H 5 | \ Q O L ;) : = 4r 5 C > 4 N = 7 9 I = ?t V H3 4 5 7 8 s = G H = ( 4 L ; n a ] 8¤p O L �] 2 6 4W 6 f i¦p ; 5 6 F2;L � ] � O d R 8 < L 5 UR Q = Fg F P Q y A B : 5 C > 4 = FL ;D o c3 H = u H� \ J = 7 JQ = 7 HRv4 N = � Z = U; O k c q � = ue 6 B H L ; s L 2 P � n a ] 8 t V H r 5 C > 4q I O ;^ 7 > zk O ; 5 IR \ 9 > J N = 7 9 I = ?v ; <=?=@=r 5 C > 43 \ 7 Q ON = 7 9 I = ?s = J P B > 6 4 A 9 6 _ O R G | H k = F ^ G b 3 f B 7 0 o s = J 5 f F = o t V H R Q = F 3 b 2 P ILT Oq Q = 6 ? 2 ^ 6 _ = � H O q h 4 2 s L = � H O W F = G H c q Q R � o N = 0 4 O 2 ; 5 _ 3 4 p ; = Y 9 ? O P 9 7 x �{ 5 7 � 4 W x T ; L O ; ; 5 b 2R \ M 3 4 O e : OvA Q O4 ] 8=<T ; 5 6 _ p R 6 Q ; � 5 6 � 2 W 6 F W 6 x 3 a = 6 J q h 4 L ; R Q = FN 5 7 ¨ 6 4 = 6 F %3 b 2 P Is L O P m � O$R Q L O R G | H k = F O L p O L&^ 7 > z L ;3 � ? = \ 4L ; k Ol5 _ t V HHRv ; <=?=@=�n a ] 8H3 H O L 5§ 2 P IR Q = F3 f I O ; s k O ; P i L 5 H s O L O ;2F � H L R B Y ? � 2 P Z s O L O ;� = 6 ? O P q z O R Z n f z ^ 4 = E �� P 9 7 B f B 4� = Y _ W \ B 4 k s 2 L L ;e � ?< = 7 f M s 2 = Z T � H L'§ 2 P Is L O P m � O(= 6 Q 'W f i p O Ls L O P m � O(3 b 2 P I W F W M s O p P } \ i = Q l L ; 3 ( Q ; e H L ; 2 R \ _ = Fs L O P m � O; 5 6 _ 3 6 4 ^ Q O R J R H ; P K t V Hv

www.mirjalili.net

24

; <=?=@=�§ 2 P I ^ 4 ] 8 T 3 b 2 P I � = w H W 7 J k O W ( B o L 5 U L ;s L O P m � OT ; 5 u 6 H p R Q ;R 6 Q = Fn 6 a ] 8 3 H O L 5 HF R B Y ? � 2 P Z = F 3 b L = I = Q 3 f I O ; s k O ; P i L 5 H = F T = 7 H ^ G b < L 5 V F s P | Q ;� = 6 ? O P^ 4 = E 6 � q z O R Z n f z� P 9 7 B f B 4W \ B 4 k P F Te � ?; 5 _ t V H = J p = K L K = Q = J 2 P J O L L ;v ; <=?=@=�l O 5 I s = G z = o O W 7 J0 4 L ;^ z 5 4 ^ 4 = z O s = G H =* Q R Q = F� ] 6 i= 6 Fs P Q 5 V 6 o ^ 6 4 ] 8L ; W \ B 4 kR B Y ?2� 2 P Z� ?§ 2 P I q h 4 W M es L O P m � OO L� � O 2 < L 5 V FR Q = 7 H ' E u 4TR \ _ = F O L O ;v � ��3��� ) % * � � % # ' * � � � � � % * � ; <=?=>=@L ;� O P � = J W f i p O Ls = Jn 9 > B ? W F q V 9 4 2 N = ( f i W � 5 h 4 q I O ; L ; R Q = F s L O P m � O1 P F F s L O P m � O_ =\* 6 Q 2 W 6 w � � ; P K = i P J L ; � H L R B Y ? � O P � * Q q z O R Z 2 R3 H O L 5 6 H ^ 6 4 ] 8§ 2 P 6 I s L O P m � O§ 2 P I l L ; s 2 L P F p R _ s k O ; P i L 5 H q I O ; k OTN = F = B I = Q § L = I ^ 7 ? W F = 7 \ J O LT; 5 6 _ t V Hv �= \ 7 �R Q = FR B Y ? � O P �� H Ls P | Q ;e B HL ;; P K = i< = w � � g ? 2¤W MR H O 5 o 3 4n 9 > 6 B ? W F q V 9 41 P 6 F R _ = � H s L O P m � O¦zR _ = F W 9 _ O ; L O Pv ; <=?=>=>k O R Q = � H = J W f i p O L s L O P m � O s = J � O P � 3 a = \ _ 2 L� R _ = F P 9 7 x < O 2vL = 6 \ x s = 6 J � O P � R H O 5 o 3 4 W f i P J� R _ = F < O 2vP Q = ?k O P o � B � � R Q = � H s L O P m � O s = J � O P �� R \ _ = F < O 2v ; <=?=>=�§ 2 P I s = G J = K L K 2 = J 2 P J O L P B > 4 P B B ¥ o P J L ;F = G H c ` � = w o = Q=2 3 4 5 6 7 8 s = 6 J 2 P J O L = J W f iTR B Y ? � O P � * Q R Q = F1 P F n 9 > B ? W F q V 9 4; ; P K t V H s L O P m � Ov = 7 \ J O L ^ 4 ] 8 P J s { = F L ; R Q = F � O P � A Q OTP J2 3 J = K L ;O LpL O P Se 6 B H N = 7 9 I = 6 ? N 2 P 6 B F L ; % Q P Z k O 3 o L 5 U L ; P | 4 T ; 5 _ t V HO L N = 6 F = B I ; 5 b 5 4 s k O ; P i L 5 H T N c r 5 C > 4 W MN c 3 a = \ 6 _ 2 L s O P 6 F3 S = 6 M R FR H Ov ; <=?=>=�3 4 5 7 8 2 P J O L P JT§ 2 P I p = K L Ks L O P m � O2Lp OL O P S� O P 6 � * Q q z O R Z R Q = F T % Q P Z k O � H L R B Y ? s L O P m � OTP J s O P F� �r 5 � P 9 42 P J O L= Qs = 6 J D E FN c W 9 > 6 F O 2T2 R 6 _ = F W 9 6 _ O ;R 6 Q = F a = \ _ 2 LR 6 _ = F N c p R 6 \ \ M q B 7 ( o T ; ; P K 3 7 H q V 9 4 s L O P m � O s = J � O P � n 9 > B ? W F W M 3 4 5 7 8 3vL ; T R _ = � H P 9 7 M s ; = 8 � O P � * Q 2 s L O P m � O � O P � * Q k O = J � O P � ; O R � o W ( B o L 5 UN O 5 6 o 3 6 4k O� O P 6 � s L O P m � Os O P FL 5 H A B 4 � oe B H 3 4 5 7 8p ; = Y 9 ? OP M;v ; <=?=>=�p = K L 6 K = 6 Q = 6 J 2 P J O L ^ G b P B B ¥ o q h 4 = Q ` � = w o L ; p R _ t V H s L O P m � O � O P �s = 6 J § 2 P ITk O = G H c r 5 � W ( H c � P u F� �R \ ( H k 2 = } o P 9 4TN c s O P F s L O P m � O 3 4 O e : O � O P � N O 5 \ � F R H O 5 o 3 4 ; 5 _ p ; = Y 9 ? O e B H § 2 P I s = G J = K L K 2 = J 2 P J O Lv ; <=?=>=�3 H O L 5 H ^ 4 ] 8% 6 Q P Z s = J 3 b 2 P I s P B K L O P z q h 4 = Q T = J 3 b 2 P I q h 4 L ; R Q = F § 2 P I 3 4 5 7 8 s = J 2 P J O L L ;; ; P K t V HvP | 4L ;s ; L O 5 43 b 2 P I N c W M= Jq h 4= 6 Q 1 = o O W F r = V o Os = J = ¨ 6 S ;R _ = F s P | QR \ 9 > J 2 P J O L W F n B w 9 > 4 r = V o O s O L O ; W Mv

www.mirjalili.net

25

; <=?=>=�3 H O L 5 H ^ 4 ] 8§ 2 P Is L O P m � ON O 5 6 \ � F W 6 M 3 a = 6 J p P } \ i 2 = J l L ; W 7 J q h 4 L ; R Q = F= 6 J p = K L 6 K = 6 Q 3 b L = 6 I s = 6 G H = ( f i T = J 2 P J O L T 3 w S O s = J 3 b 2 P I T L O R � B _ � 5 m ? T W f i p O L W F § 2 P I; 5 _ W B � � o T R H 5 _ 3 4 p ; = Y 9 ? OvU = I g Q O P _ L ;L ; s P F L = 6 M k O p ; = Y 9 6 ? O d R 8 P � = E F N c r 5 C > 4 W M 3 R J ; 3 4 p k = b O t _ < = 8 = ?¤= Q = J * H = F q 2 4s P F L = MP | Q ; s ; = 8 s = J¦TR H O 5 o 3 4 s P Q 5 V o n a ] 8 A Q O 3 f I O ; 3 a = \ _ 2 L R z = S= FR _vwww.mirjalili.net

26

www.mirjalili.net

27

� � � � � ��� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ��� � � � � � ! " � � � � � � � � �� � � � � � � � � � � � � � � � �����< O L P w 4 A Q O L ; § L R \ 4 n a ] 8 t V HL ;� = 6 H P m I s = 6 G H = 0 4 2 R _ 2 R 4 c s = J P B > 4¤P 6 B [ H = bQp = 6 o 5 x L 5 6 � 8 s O P F � w ? � = Y o L O = Q ; L O ; ; 5 b 2 N O P F = 8 s O P F s R \ f F k O N ; = 9 S O 2 N R Q e ¥ : N = 0 4 O W x 3 ^ ? O¦3 4 O e : O^ ? Ov � �����F = 6 m 4 t ? = \ 4 p R \ J ; L O R u J n a ] 8 t V HL O R u 6 J s = 6 J 5 f F = o %R 6 \ F L ; § L R 6 \ 4 p R 6 \ J ; � �$�$�$�$¤�¦L ;= J q h 4 W B f x 2 = J L = � H Op P B I y s� = H P m I ; O 5 43 4 O e : O TR _ = F 3 4v � ����+s ; L O 5 4 L ;r = 7 9 Z O W MR Q R G o^ 4 ] ?3 \ 7 Q O 22 W 9 _ O ; ; 5 b 2 N = \ x L = x= F< L = [ Hs = Jd k { n 9 > B ? 2 3 ? R \ G 43 \ 7 Q O s = Jq F = zr P 9 \ M 2 s P B | u B iR _ = � HP S L = M Td e f 4 N = Q = 49 > Jk O W M R \; 5 b 2 2 3 S = x 2 d k { n a ] 8 2 = J 5 f F = ot V H8R \ Q = 7 H q U = Z A B w Q g B h 4 L ; n a ]v � ����32 = J 5 f F = o k O p ; = Y 9 ? O3 \ 7 Q O n a ] 8< O L P w 4 A Q O L ; § L R \ 4A B u H = bP | Q ;~ 2 Lr P 9 \ M s = J 3 7 H P m IR _ = Fvr = 2 4 s O P FP K OL ;= G J = K L = MD o c P m I5 6 b 2 r = � 9 _ O q F = z ; O 5 4 s k 5 ?R 6 _ = F W 9 6 _ O ; ;T s L 2 P � s = G Q P B | u B i 2 3 � = B 9 Z O < = 4 O R z O P F p 2 ] 8T < O L P w 4 L ;t V Hs 5 f F = o%� 5 \ 7 4 N R B u M L = | B ?& n J4 O e : O^ ? O 3v � �����= J p = K L = x g B h 4 L ;N = \ M L = M N = b X Y Z r 5 C > 4 N = Q = 4 P S L = MP 6 m I k Op ; 5 6 F4 2� 6 & 5W 6 F k O N = \ B 7 � O r 5 V Zt V Hq h 4 L ; 3 \ 7 Q O 6 3 9 & = Y Z n a ] 8s = Jd k {9 > JR \v � �����N O L = ( H = 7 B i� e b¤W MIR \ 9 > J = 4 P S L = M e B H ; 5¦TR \ Y & 5 4N = u 6 H = \ M L = M 3 Q = \ _ c N O e B 4= 6 F O L r P 9 \ M 3 \ 7 Q O n a ] 82 p ; 5 7 Hk Oq 6 h 4 L ; ^ 6 ? L ; d = B i s 2 = Z 2 t ? = \ 4 3 \ 7 Q O n a ] 8 t V Hs = 6 Jd k {T R \ F = Q N = \ B 7 � Ov � ������x s = J W � 5 h 4 L ;3 J = K L =W MW B f w H q a = ? 2R \ Q = 7 H 3 4 ; ; P o? O Tn 6 a ] 8 k O p ; = Y 9s = 6 7 \ J O L 3 K R \ H O L� m \ 4^ ? O 3 4 O e : O g F P Q y s = J p = | 9 ? ; 2 3 K R \ H O L s = 7 \ J O L g F O 5 � = F %v � �����3 9 f 8 P J W F W � H = \ �¤q 2 45 i_3 6 \ 7 Q O L O e F O 2 q Q = ? 2 N R B¦N O e 6 B 43 a = 6 \ B F = 6 Q 2 3 a O 5 \ 6 _ D J = MT R F = QP 9 G F s O P F d O R z O3 \ 7 Q O s = J L O R u J N R B \ _ = Q 2 R Q ; N R _¤D Q O e S O = F �] 2 4= 6 Q 2 O R U n } Z N O e B 4 D Q O e S O3 Q = \ _ 2 L¦^ ? O 3 4 O e : Ov � �����; L O 5 4 3 ¨ � F L ;d k {^ ? O3 � B x P o3 \ 7 Q O ^ 4 ] 8 � 5 H * Q k O D B F; 5 6 _ p ; = Y 9 6 ? Ovs O P 6 F r = 2 48n a ]s L 5 Hd = B i s 2 = Z 3 o 5 U ^ 4 ] 8 * Q = FP m I¤q 2 4P m I P Q � c¦; ; P 6 K t 6 B M P on 6 a ] 8 = 6 Q 2 ; < = M P Z_ t B M P o 3 4 ] M � = � o L O = F ^ ?5P S O = o ;R Q = 7 H ` f m 4 P m I k O O L ; Ov

www.mirjalili.net

28

� ����� �p R _ t V H n a ] 8 2 = J 5 f F = o p k O R H OQ = F L = M q h 4 L ;RW F 2 t ? = \ 4^ : 5 G ?q F = z� L ; 2 R 6 Q ; FR _ =vL 5 H W M 3 � z O 5 4 L ;g B h 4^ ? O P 9 G F R _ = F � B � �k O3 8 5 \ V 4 3 Q = \ _ 2 Lp ; = Y 9 6 ? O^ 6 4 ] 8 = 6 Q 2 1 O P F ; O 5 4 k O O L 3 \ 7 Q Ol = o k = F; 5 7 H W B G oF O L ~ 2 L 2 ; P J = Q 2L = (FP;v � ����� �3 \ 7 Q O s P Q 5 V o n a ] 8 2 = J 5 f F = oQ = FRd O 2 ;P Q i2 R _ = Fs L O R 6 G | H ^ z ; W F 2 t V H 3 9 ? L R F p L = F 2 ; = Q 2 W 9 > _ T e B 7 o d 2 e : < L 5 U L ; 2 ; ; P K5 _ � H L;v � ����� �= J 5 f F = o n a O ; t V H3 4 O e : OO^ ?k O 3 _ = H P m I = Q 2 p = K L = M W M s ; L O 5 4 L ; P | 4L = 6 xT^ 6 z 5 4 R _ = FvY 9 ? O q 2 4p R \ J ; L O R u J n a ] 8 k O p ; =q 7 Z q F = z 2 ^ z 5 4p R H e ¥ : < L 5 U L ;6 _N RL 5 6 � 8 q 6 h 4 g ? 5 o^ S = [ HN = K R \ \ MTL ;Og Q O P _ A QR Q = Fk O3 \ 7 Q O n a ] 8^ z 5 4; P M p ; = Y 9 ? Ov � ����� +4 ] 8 ; = Q k ; O R � o t V Hs P Q 5 V o ^P | Q R ( Q < L 2 = } 4 L ;^ ? O � 5 \ 7 4vt V Hs ; = 6 Q k ; O R � o 5 f F = on G F * Q ; e H = } ( Q L ;TP 7 K P m IW b 5 o d R 8 = Q 2 3 J O= G H c s = J d = B i W F3 i L ; O L; L O ;v � ����� 3g Q O P _ W � H = \ �r = 7 9 Z O 2 R F = Q P B B ¥ oP m IH sW F s k = B H P | Q ; 2 R _ = �4 ] 8^I=R _ = � H 3 UT s P B K 5 f b L 5 [ \ 4 W Fp O P 7 K 2 ^ ? L ; = H < = 8 ] � O W 8 = _ O k ON R u Hn a ] 8 R Q = F W � 5 F P 4 A B : 5 C > 4 T ; O P S OO L q h 4 k OR \ Q = 7 H s L 2 c ` 7 bv � ����� �3 \ 7 Q O s P Q 5 V o n a ] 8< O P 6 B B ¥ o 2 R H 5 6 _ p ; = Y 9 6 ? O N = > 6 7 J < L 5 V F R Q = F N = 0 4 { O 3 9 Z = G \ o = G H c L ; 3 a e b3 � P _ W F^ ? O k = } 4d = B i L ; p = � 9 _ O 8 = F W M; 5 u H 3 H = ? LvL ; P 6 K On 6 a ] 8 N = 6 B 4 ; L 5 4 ^ 4 ] 8 < O L P w 4 A Q O L ; p R _ W a O L O s P Q 5 V ok = B Hu H ^ S = QRTP 6 M y 3 6 f M r 5 U O k O ^ B � � o � P _ W F p R _3 4N O 5 o3 7 a ] 8O L; P M 3 Z O P �v � ����� �n a ] 83 \ 7 Q O s P Q 5 V o_ = F s L 2 P � < = B a e b s O L O ; g w S 2 p ; = ? R Q = F\Rv � ����� �s ; L O 5 4 L ;d = � ; O8]3 \ 7 Q O n aA 9 4 * Q = F< L 5 V F p = o 5 x� Q 5 H P Q kN = 6 ? c s O P 6 F 3 f B 7 0 o s k = ?N c n G SR B Y 4^ ? Ov3 | H L W \ B 4 kA 9 43 f B 7 ( oR Q = F� H L R \ H = 7 J3 f U O n a ] 8R _ = Fv ¤< = h Y U L ; 3 \ 7 Q O s P Q 5 V o n a ] 8 � O 5 H O s = J 3 K � Q 2 2 < = B U 5 V I3 : O�^ ? O p R Q ; P K W a O L Ov ¦

www.mirjalili.net

29

� ��� � � � � ! " � �� � �� � � � �� � � � � �� � � � � �� � � � � � � � � � � � � � �����" � � � � % * - � � � � & * - ) � 6$ � ) % �� � � * � � & % � $ � % ) % & � � � % * � $ ' � 9 � �1 W M 3 Q = J O P } 4 2 N k = E 4s L O R G | H s O P Fr = w 9 H O = Q 2� = H P m I ; O 5 4R 6 H 2 L 3 4 L = M W FW 6 : 5 : 2L = 6 M 2 L s = 6 J L = M q h 4 L ; � = H P m I ; O 5 4 s 2 = ZTt > � P F s O L O ; R Q = F3 6 \ 7 Q O s P Q 5 V o ^ 4 ] 8 2R \ 6 _ = FvW 6 ( H c P 6 | 4 k 2 P F r = 7 9 Z OP m Is L R w FMn_5;W MH W b 5 o q F = zR _ = �v ; <=�=@=@s 2 L p R \ J ; L O R u J n a ] 8 t V HW : 5 :p = o 5 M s = J4k O t � u \H e E 438 s O L O ; ; 5 I W x^ 4 ] L O R u J^ ? O p R \ J ;T^ > B H 3 4 O e : Ov ; <=�=@=;< = 8 ] � O3 f B 7 0 oP | Q ;2 < = B a e b = Q 2 � = H P m I p ; = 4 d = H R \ H = 4= 6 F W 6 f F = w 4 p 5 h HP 6 m IO L ; 2 e S O 3 \ 7 Q O s P Q 5 V o ^ 4 ] 8 2 t > � P F W F N O 5 o 3 4v ; <=�=@=�n a ] 8R Q = F s P Q 5 V oL ;a = bW M 3� 5 � 2 W FJ = u 4 q F = zt V H R \ _ = F p R; P KR Hvn 6 a ] 8 A Q O 2 p ; 5 F d O 2 ; = F R Q = F3 4H O 5 o\L ; p R _ 3 _ = w H < L 5 V F = Q 2 t > � P F < L 5 U W F R^ 6 B � z 5 4t 6 ? = \ 4L O P 6 z R H P B Kv ; <=�=@=�L ;5 := J W :q Q 5 � s� = H P m I ; O 5 4 r = w 9 H Ot V 6 H 3 H = B 4 � = w H L ; N O 5 o 3 4 O L s P Q 5 V o n a ] 8 ; 5 7 Hv^ 4 ] 8 s ; = Q k ; O R � o t V Hs P Q 5 V os 2 LW : 5 :� = H P m I ; O 5 4 s 2 = Z s = JK 8 = F3 J O P 7L = MxN = \ 3 4; 5 _v � �����" � � � � % * - � � � � & * - ) � 6" � � � $ � ) % �� �� � � * � � & % � $ � % ) % & � � � � � � $ '1 ; <=�=>=@t V Hn a ] 8L ; 3 \ 7 Q O s P Q 5 V o; O 5 4 3 G b 5 o q F = z L O R w 4 s k = ? p P B I y q h 4 W M 3 Q = G H = ( 4 � = H P m IT ^ ? O4 O e : O^ ? O 3vt > � P F W ( H c P | 4s = Js P Q 5 V o n a ] 83 \ 7 Q Op R _ t V Hs = 6 G S P & s 2 L R H 5 _ p R Q ; � 5 � 2 W F � O P � O W � 5 h 4 k O = Q 2 N 2 P B F k O � = H P m I p ; = 4 s 2 = Zv ; <=�=>=>= J L = � H Oss L O R G | H q h 4� f 9 E 4 � = H P m I ; O 5 4TF R Q = Fp R \ J ; L O R u 6 J ^ 4 ] 8 =%P 6 m I 3 4 5 7 8&' E u 4R H 5 _v t V H t ? = \ 4 q h 4n a ] 8 2 = G � > � P F1 5 S: OP M L ;6 ( Q ; e H3= 6 J L ; s 2 L 2 ; O 5 6 4 s L O R 6 G | H N = 6 ( 4s 3 G 9 \ 4s = G z = o O W F; O 5 4 s L O R G | H3 4R _ = Fv � ����� � � � - � � � � 6 � � . � � # � � - � � � & � 8 � � % & 7 � $ � � � � � � ) � 6 ) & � ) % � 7 $ � �� � � % � $ . � � % � % * -'$� � � � �� � � * � � � ������O W M 3 a = J = b L ;q I O ; L ; ^ z 5 4 p = K L = M ; = } QN = F = B IT R _ = F d k {P FN = b ^ & = Y Z s O N O P K L = ML ;p ; = bW M 3 a = J^ M P Z= ? 2q QR H L O ; N = Q P b = G H c L ; W B f w HR Q = F L = M p ; 2 R h 4R 9 7 4 s = J L O 5 H = F W F^ 4 ] 8 g B h 4 � H L A 9 S P K P [ H L ; = F 2 ; L k = Q R B Y ? � H L = F �= h B b P o R Q ; q F = z 2 � � O 2 < L 5 Us L O K

www.mirjalili.net

30

R H 5 _v^ 4 ] 8 A Q O ; = � F OQ = F s L O KR= ( 4 = Q 2 ` H O 5 4 3 � z O 2 � = B w 4 = Fs O L O ; W M 3 a = G HP m I^ ? OT R _ = F t ? = \ 9 4v � ������Q = F = J L O 5 HRs L 5 �W B � � oW M R H 5 _W f U = SA 7 Q Od k {W f B 6 ? 2 A B 6 Fs L O e 6 F O 2 W 6 B f w HW 6 M L ;( Q ; e H3; P B K 3 4 L O P z N cO L A Q P F = 8 L 5 � 8 q h 4 2k Op L O 5 ?2 LTR Q = 7 H ' E u 4v � �����+3 7 a O ; s = G J O Ls = J q h 43 H 5 ( > 4Z93ON = 0 4 {Q = FRg ? 5 on a ] 86 4u=F W FR 6 \1 5 6 S ^ 4 ] 8W ( B o L 5 U L ; P | 4 R H ; P K s L O K� = Y Zp ; = B i 2 t ? = \ 4R \ _ = F W 9 _ O ; 2 Lv � �����3d = 6 | \ J = Q = J p ; = b q I O ; ^ z 5 4 s = J p = K L = M L ; = J s L O ; P G _ < O L P w 4 2 g F O 5 � ^ Q = 8 L^ ? O 3 4 O e : O = G H = F = B I 3 u M g Ivwww.mirjalili.net

31

� � � � � � ��� � � � � � � � � � � � � � � � � � � � � � ! " � � � � � � � � � �� � � � � � � � � � � � � � ��� � � � � � � �����= J 5 f F = o W 7 JT 3 V E _ 2 s P F L = M � P � 4 2 3 o = ¥ B f � o sN O 5 6 \ 8 ^ 6 h o p R 6 _ P M y ; L O 5 6 4 e b W F 5 b k O k = B H 3 F s = J 5 f F = oOkTR \ Q = 7 H I O 5 f F = o k 5 } 4 R Q = F q h 4 L ; t V H s O P Fv � �����L ; p R 6 _ A B 6 B � o < = V 6 E u 4 P F % � m \ 4 ] 4 = M R Q = F = J 5 f F = o t V H 2 ^ I = ? k O R � F < O P B B ¥ oR _ = F 5 f F = o k 5 } 4vP B B ¥ o W H 5 K P JA B : 5 C > 6 4 p k = 6 b O 2 � ] � O = F R Q = F k 5 } 4 L ; § L R \ 4 < = V E u 4 = F P Q = ¥ 4 g F P Q yT; P B K < L 5 U k 5 } 4 R Q R } o = F = Qv � ����< O L P 6 w 4 2 A B H O 5 6 z P Q = 6 ? = F $ z = \ o s O L O ; R Q = � H = J 5 f F = o ; L 5 4 L ; < O L P w 4 A Q O ; = Y 4 s O P b OA B 4 � 6 o W 6 F ^ � > 6 H s P o { = 6 F W � o P 4 L ; W M 3 o O L P w 4 P Q = ? = Q 2 N = 7 9 I = ? 3 f 4 < O L P w 4 2 l 5 V 4 s P G _R _ = F T R H O p R _ t Q 5 V o 2 ` � 2 d ; P 4 p = S L 2 3 \ 7 Q O 2 3 9 4 ] ?v � �����r 5 C > 4 5 f F = o p R H L O ;Hk O s L O R G |c^ 6 ? O k 5 } 4 = F % � m \ 4 g Q O P _ L ; NvA 6 Q O 2 O l = 6 B � L ; ; ; P K 3 4 r 5 h 4 * f 4 * : = 4 W F ^ B : 5 C > 4v � �����q h 4 L ; ^ B : = � S 2 L O P w 9 ? O p k = b O s P G _ g F O 5 � 2 L 5 u M A B H O 5 z P [ H k O W M 3 Q = J s P F L = M W FR H L O R H O L ; 5 IT3 7 H p ; O ; 5 f F = o t V H k 5 } 4; 5 _v � �����5 7 8 s = J = ¨ S L ; W M ; ; P K 3 4 3 a = J 5 f F = o W B f M q 4 = _ < O L P w 4 A Q O4d 5 7 8 p ; = Y 9 ? O s O P F 2 3 W F; 5 _ 3 4 W 9 S P K L = Mv � �����t Q 5 V o 2 r 5 C > 4 p P Q R 4 < � B J ^ ? O 5 I L ; W F W M 3 Q = J N = 7 9 I = ? 2 % � = \ 4 L ;A B : 5 C > 6 4 T g F P Q y; 5 _ 3 4 W 9 S P K P [ H L ; = J 5 f F = o t V H s O P F 3 U = I s = G f h 4Ts O P 6 F l 5 V 6 4 < = V E u 4 k O ^ B � � o M^ ? O 3 4 O e : O 5 f F = o N = K R H L O ; W B fv � �����^ 6 B � � o s O p � 6 Q 2 < = V 6 E u 4 k O = 6 J 5 f F = o T 3 E Q L = 6 o ~ k L O = 6 F s = G H = 7 9 I = 6 ? 2 % � = \ 4 L ; R \ \ M 3 4v3 6 Z O P � = Q � = I g F O 5 � W F � 5 \ 4 = G H = 7 9 I = ? 2 % � = \ 4 W H 5 | \ Q O L ; = J 5 f F = o < = V E u 4 A B B � o; = � F O T q ( _ ^ G b k O N = 7 9 I = ? s = 7 H s 2 L s = J 5 f F = o W 8 5 7 } 4Tq h 4T t V H� H LcT s e B 4L 5 6 Hi2 s k O ; P ; 5 F R J O 5 I p P B �v; P B | F L O P z W b 5 o ; L 5 4 P Q k < = ( H R Q = F = J 5 f F = o W 8 5 7 } 4 3 Z O P � L ;� � � ��^ Q 5 J 2 ^ B V E _ N R u H L O ; W _ R I2 ^ S = F3 E Q L = o 2 ~ k L O = F s L = 7 � 4v ��^ Q ; 2 R 6 h 4 % Q P � k O A ( 7 4 q z O R Z W F W 8 5 7 } 4 2 N = 7 9 I = ? s = 7 H s 2 L = J 5 f F = o s ; 5 b 2 P B j � o q B f w ot V H q h 4 % F = m o 2 = 7 H = F = G H c q ( _ 2 � H L 3 | \ J = 7 J 2 ; = � F Oc< = 7 B > w o = F = G HHN = 7 9 I = ? s = 7v

www.mirjalili.net

32

� ��� " � � � � � � �� � � � � � � � � � � � � � �� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �� � �����9 � � $ " - 9 � � � " 6 � � � � , - � .� * � ! � � � 7 - * - � $ 9 %� � ) % � �1 ; <=�==z 5 4 s 5 f F = or = 6 Z L ; s = 6 J N = 7 9 I = ? L ; N = 7 9 I = ? P 4 O N O L = M L R H O ^ ? ; p R \ \ M 3 S P � 4 ^ O R Z O�= 4 P S L = M d = H s 2 = ZTs P } 4T2 p k = ? 2 s L = 7 � 4 � O P �v v vi� Q L = o 2 N O L = ( H = 7 BcN = 7 9 I = ? L = M W F k = �T s P F L = Mc= \ F 3 oTM O R Z ; = � F O = F2P�` F P 4 P 9 4T3 F ^ I = ? < R 4 L ;^ ? O k 5 } 4 k O k = B Hv ; <=�==;� ] 6 4 O 2 W B \ F O ~ 2 P S 2 p L = b O W F � 5 F P 4 ^ z 5 4 s = J 5 f F = oTM O R 6 Z ^ Z = > 6 4 L ;6 2P��� L ; ` z O 2 ; R 8 * Q ; O R � o W F ` F P 4 P 9 4P J* f 4v ; <=�==�O R 6 Z O ^ 6 ? ; L ; N = 7 9 I = ? ; L 5 4 L ; ^ z 5 4 p R \ J ; L O R u J s = J 5 f F = o�T� 5 w 6 ? N = 6 ( 4 O P Q = [ H 2 3 H = 7 9 I = ? � : = V 4cNTM O R Z ^ Z = > 4 W F2P� ���` F P 4 P 9 4v ; <=�==�= 6 \ F P 6 Q k < = > B ? � o W F � 5 F P 4 A M = 4 O 2 < = > B ? � o � P � 4 � ] ias P G 6 _ 3T6 i1 P 6 F ^ >T 2 < O P F = E 42 A Y f ov v vM O R Z ^ Z = > 4 W F2P� ���` F P 4 P 9 4v ; <=�==�9 Q 2 s 2 L 3 > Q 5 H W u B _Pk O W ( B o L 5 U L ; = J p k = ¥ 4 A Q� ��k 2 = 6 } o A Q P 6 9 Q 2 � = Y _ � m ? R Q = 7 \ Hv ; <=�==�M O R Z ; = � F O L ; 3 4 5 7 8 2 3 \ 7 Q O s = J L O R u J 2 < O P M o2P� ���` F P 4 P 9 4v ; <=�==�3 4 t V H 3 7 ? L < = 4 = w 4 s 5 ? k O W M 3 Q = J 5 f F = oq 4 = _ ; 5 _�3 4 = [ 9 H O s = J 5 f F = oTs = J 5 f F = o H = ? L � ] � O2 3P B > 4 s = 7 \ J O Ls P G _ s = 7 \ J O L s = J 5 f F = o 2v ; <=�==�iN = 4 k = ? 2 = J L 5 u M P | Q ; = Q L 5 u M n � P5 ¨ 6 8 N O P 6 Q O 3 4 ] ? O s L 5 G 7 b ^ : 2 ; W M 3 a = J c3 \ Q ; s = G 4 = B i 2 = G J 2 P K T R _ = F 3 4 = G HT3 H R 4 3 ? = B ? s = J ; = G Hv ; <=�==�R \ 9 > J � ] i p L = 7 _ P | H = Q = 7 H W M * � 5 M s = J 5 f F = oT^ G b W M 3 ( � 5 M s = J 5 f F = o W f 7 } \ 4 d = H 3 S P � 4Q A B \ M = ?R H 5 u B 4 W B � � o 3 H 5 ( > 4 R Z O 2 *v ; <=�== <L = ( _ k O p R \ \ M ` \ 4 s = J 5 f F = oTs P B | B J = 4Tc3 \ 9 FT2 L 26 4 O W F ;]3 U 5 V 6 I �TL O R u 6 J 2 3 u Z 2 < = H O 5 B Z W F ^ � > H p R \ J ;P Q = [ HcNv � �����9 � � $ * � � � � � � , - � .1 ; <=�=;=5 f F = o � 5 H P Js O L O ;� O P 6 � O s = 6 J = \ F q 6 I O ; W F n B w 9 > 4 L 5 H D F = o t b 5 4 W M s k O ; P i L 5 H ; 5 _ ; 5 ITP | 4c5 f F = o W ( HR _ = F L 5 M 4 s = \ F W F � 5 F P 4v

www.mirjalili.net

33

; <=�=;=;M W M 3 a 5 f F = o � 5 H P Jk O 3 u E F = Q qck O 2 R 6 _ = F p R 6 _ 3 Z O P � � P h 9 4 3 f ( _ P J W F N ^ ? O k = } 4 P B � R _ = F ^ Q 2 L q F = z = J p O P K k P F P B > 4v^ 8 = ? s = J W F P w 8 q 4 = _ ^ B 8 5 \ 7 4 A Q OT2 = J = 7 H ; = F = Q = J n � P ict V H W M 3 9 z 5 4 s = J 5 f F = o k O W 9 ? ; Nc3 7 H T p R _ W 9 > H O ; k = } 4 = G H; 5 _v ; <=�=;=�O P � s O L O ; W M 3 Q 5 f F = o � 5 H P JN k * 7 u � s = G �T� O P �W 6 [ h : s = J L 5 H = F s = Jp P 6 B I s O = Q p R \ \ M�^ 6 Q 2 L q 6 F = z = 6 J p O P 6 K L e F P B > 4 k O 2 p ; 5 F P B ¥ 9 4 � H L < R _ = F = Q � P h 9 4 3 | H L s = J � O P R _ = FT4 P B �}^ ? O k =vs = J L O R u 6 J = 6 Q d ; P 6 4 3 4 5 7 8 ^ B \ 4 O s O P F A B H O 5 z % F = m 4 = J 5 f F = o A Q O W � H = \ �N = 4 k P | H = u H = Q 2 p R _ t V H 3 ( B S O P oT= 4 ;TR _ = F 3 m B h 4 = Q s 5 b g Q O P _T^ ? O k = } 4v ; <=�=;=�p P } \ i W M 3 Q 5 f F = o � 5 H P JTl L ;Tp O Ls L O P m � O § 2 P I s = JTL O P S s = J N = F ; P H = Q = G H = ( f i = F 2 s ; = 8 = QkR _ = F p ; P M R ? O L = \ F § 2 P I 2 r 5 I ; p O L � 5 H P J = Q O 5 J = Q L 5 H ; 2 L 2 s = J W � Q L ; = Q = J 5 _v ; <=�=;=�B h 4 L ; W M 3 Q 5 f F = o � 5 H P J; 5 _ t V H ^ I L ; W F 3 U 5 V I � ] 4 O = Q 3 4 5 7 8 s = J gv ; <=�=;=�5 f F = o W H 5 K P Js P G 6 _ < O e 6 B G } o s 2 L P F 3 U 5 V I � ] 4 O = Q 3 4 5 7 8 s = J g B h 4 L ; W M R \ H = 4^ > i1 P F s = JTA Y f o * ? 5 B MT= J P B oTP F = � 4 L = \ M s = J r 2 R bT= 6 J 2 L p ; = B iT1 P 6 F s = 6 J � O P 6 �T s = J P B _cD o3 H = u HT= J q iT= Q = J p O P K L e F n a ] 8R H 5 _ t V H P | Q ; s = J 5 f F = ov ; <=�=;=�s P B K L O P z N = ( 4 q B : ; W F W M 3 a 5 f F = o � 5 H P JT^ B � z 5 4Tp k O R H OTt 6 b 5 4 � 6 H L = 6 Q q ( _ N ; P M ; 2 R > 4TN ; P M l 5 B � 4TN ; P M � B � ¨ o 2 5 h 4T` H = 43 4 = [ 9 H O n a ] 8 P [ \ 4 N ; P M ~ 5 u ¥ 4 = Q N R _ J = Q * B S O P o r P 9 \ M 2P: 2 ; s = J ; = G H g ? 5 o W M ; 5 _ s P | Q ; W f B ? 2 = Q ^ 4 ] 8p R 6 _ t V H 3 4 5 7 8 2 3 9 ; ; P K W B f w H q a = ? 2 ^ Q O R J L ; p = � 9 _ O = Q L 5 � 8 ~ = u 9 � O 8 = F A B \ � 7 J 2 ^ ? Ov D E F L ; P 9 u B i W M 3 Q = J 5 f F = o � O 5 H O W � H = \ ��k O 5 6 b k O k = 6 B H 3 F s = J 5 f F = o�s O L O ; e 6 B H R 6 H O p R 6 _ P 6 M y R \ _ = F k = } 4 P B � s = J 5 f F = o < = B U 5 V ITq 4 = _ ^ B 8 5 \ 7 4 A Q OcR _ R J O 5 I e B H = G Hv � ����� � %' � � 6 � � 4 %9 � � $ � � � � , - � .1 � � �s P G _ s = 7 \ J O L s = J 5 f F = o � �P B > 4 s = 7 \ J O L s = J 5 f F = o �3 H = ? L � ] � O s = J 5 f F = o �3 4 = [ 9 H O n a ] 8 2 = J 5 f F = o g3 o = ¥ B f � o s = J 5 f F = o �s P F L = M � P � 4 s = G M ] i 2 = J 5 f F = o jN = 7 9 I = ? d = H s = G M ] i 2 = J 5 f F = o !N = 7 9 I = ? q I O ; s = G M ] i 2 = J 5 f F = o

www.mirjalili.net

34

� ��� � � � � � � � � � � � � �� � �����k = } 4 � m ?P G _ s = 7 \ J O L s = J 5 f F = oT sP B > 4 s = 7 \ J O L s = J 5 f F = oT3 H = 6 ? L � ] � O s = J 5 f F = o2 4 = [ 9 H O n a ] 8 2 = J 5 f F = oL ; T 33 f f 7 : O A B F s = J N 5 B > H O 5 \ M3 f I O ; < O L P w 4 P Q = ? 2; P K A B B � oQR^ ? O pv � �����k = } 4 � m ?oo = ¥ B f � o s = J 5 f F =P F L = 6 M � P 6 � 4 s = 6 J 5 f F = o T 3T sN = 7 9 I = 6 ? d = 6 H s = 6 J 5 f F = o2 N = 7 9 I = ? q I O ; s = J 5 f F = o; ; P K 3 4 A B B � o 2 W � ? = h 4 = G Q L O ; P G _ q 7 8 ; L 5 4 < O L P w 4 � = ? O P Fv � �� � � � � � � � � � � � � � � � � � �� � ��� ���� � � , - � . � / � � , 6 � & ' � � $1 ; <= <=@== 4 O e : O s P F L = M � P � 4 s = J 5 f F = o�6 | 4 R H 5 6 _ t V 6 H s P F L = M � 5 z 2 q h 4 * f 4 L ; R Q = FL ; P s ; L O 5 4< O L P w 4 A Q O L ; W McR _ = F p R 4v ; <= <=@=;M � P � 4 s = J 5 f F = o=2 * 6 f 4 q I O ; = Q N = 7 9 I = ? 3 f U O s = 7 H s 2 L t V H W F k = } 4 g w S s P F L R \ _ = F 3 4 3 4 5 7 8 P � � 4 W F 2 Lv ; <= <=@=�2 � 5 6 m I = 6 F � 6 \ J = 7 J W M ; 5 _ l = E 9 H O 3 o L 5 U W F R Q = F N = 7 9 I = ? P F 5 f F = o t V H q h 4s = 7 H 2 s L = 7 � 4 3 f U O � 5 m ?N = 7 9 I = 6 ? s = 6 7 H 2 s L = 6 7 � 4 W F A B : 5 C > 4 ' B E u o W F 2 p ; 5 F N = 7 9 I = ? ; L 2 = B H ; L O 2 s O W 7 m :vR Q R i N = 7 9 I = ? s O P F 3 4 2 ; s = 7 H R Q = � H = J 5 f F = ocR H L 2Ts O W 6 H 5 K W 6 F R 6 Q = F W 6 ( f F n u � W F N = 7 9 I = ? s = 7 H k O 3 a e b W M R H 5 _ t V H 2 3 Z O P �cR \ Qv ; <= <=@=�R Q = F N = 7 9 I = ? 3 f U O s = 7 H s 2 L k = } 4 s = J 5 f F = oR 6 Q ; L ; W 6 M R 6 H P B K L O P 6 z s O W 6 H 5 K W F N = 7 9 I = ? s = 7 H P F 3 4 5 7 8T; ; P 6 | H § L = 6 I N = 7 9 I = 6 ? s = 7 H 3 m B h 4 s = J W � : k O 5 f F = o k O 3 u E F � B Jv q z O R Z W Q = > 7 J L O 5 Q ; W F ^ � > H = 7 H s ; 5 7 8 s = J W � : k O p L O 5 7 J R Q = F = J 5 f F = o t V H q h 4� �2 P 9 7 B 9 H = 6 ? q z O R Z 2 L p ; = B i � M k O� �R _ = F W 9 _ O ; W f U = S P 9 7 B 9 H = ?v � ��� ���� � � , - � . , - * - 9 � � 4 � � . ) %1 ; <= <=>=3 Q = J 5 f F = o � = Y o L O A Q P Q k R ZP Q k k O W Mck O R Q = � H ; 5 u B 4 L 5 � 8 = G H���R _ = F P o A B Q = i P 9 4 2s O e b O 2 p k = ? = QcR H P B K L O P z P � � 4 A B 4 k 2 � M k O P o g ? 5 9 4 W F ^ � > H � = Y o L O A Q O k O P o { = F Nv ; <= <=>=;L O 5 Q ; s = J 5 f F = o A Q P Q k R Z^ 4 = E � W M s O p ; = 9 > Q O s = J 5 f F = o 2 sck O = 6 G H� �P 9 7 B 9 H = 6 ? P Q k k O 2 R \ M 3 7 H k 2 = } ocR \ \ M 3 7 H L 5 � 8 ; O P S O NTq z O R Z R Q = F� �2 � 6 M g 6 ? 5 9 4 k O P o { = F P 9 7 B o = ? R _ = F A B 4 kv

www.mirjalili.net

35

� ��� ��+� � � , - � . � � � � � � � 9 � � $ 4 � � . ) %1 ; <= <=�=M O R Z s P F L = M � P � 4 s = J 5 f F = o L ;2H k = } 4 � = Y o L O Ps L O 5 6 Q ; s = 6 J 5 f F = o 3 H = 6 z 5 S W � : t Vs L O R G | H W Q = i = F p ; = 9 > Q O 2 p P � s = J 5 f F = o e B H 2 � ( 7 J W w � � L ; ` z O 2 s = J s P F L = M W F � 5 F P 4c= G HTP 6 Q k M O R Z 2 r 2 O W w � � p P } \ i � M � m ?2P�^ ? O P � � 4 � M g ? 5 9 4 k O P 9 4v ; <= <=�=;M O R Z23 Q = G H R Z T N = 7 9 I = ? d = H s L O 5 Q ; s = J 5 f F = o t V H k = } 4 � = Y o L O Pd = 6 F k O R 6 H O ^ ? ; ^ ? Ov � ��� ��3� $ � � * - � $ � - * � ) & � � � , - � . 9 � � $ � ' * � �1 ; <= <=?=� = Y o L O L ; P K O W M R H 5 _ t V H N = 7 9 I = ? s = 7 H s 2 L 3 o L 5 U W F R Q = F s L O 5 Q ; s = J 5 f F = o W B f M k O P 9 7 M���M O R Z T R H P B K L O P z � M 2 A B 4 k W F ^ � > H P 9 42; = G H c 3 K R 4 c D B i P3 4 5 6 7 8 P � � 4 n Q P Z L � �R _ = F P 9 7 B 9 H = ?v ; <= <=?=;R H ; P K 3 4 t V H N = 7 9 I = ? 3 f U O s = 7 H P F ; 5 7 8 W M p P � s = J 5 f F = o W FT6 FW3 � P 6 _W 6 M s 2 L D B icM O R Z 3 4 5 7 8 P � � 4 L ; = G H2q z O R 6 Z 2 2 L p ; = 6 B i � P 8 d 5 ? * Q = o P� �= 6 ?9 HW 6 � : k O P 9 7 B R _ = F W 9 _ O ; W f U = S 2 L p L O 5 ?T2 P u B i p k = b O P Q k P Q ; = w 4 % � �; 5 u B 4 p ; O ; 3 4 5 7 8 P � � 4 n Q P Z L ; s� T � � � � � � R T W � ] � � � I U \ ] A W � Q T Q � � � � A � W E R � R � �� R � ��T � � � E N S G T � � � T ���P 9 4� �P 9 7 B 9 H = ? � ���P 9 4� �P 9 7 B 9 H = ? �P 9 4� �P 9 7 B 9 H = ? � ���P 9 4� � �P 9 7 B 9 H = ? ���P 9 4� � �P 9 \ B 9 H = ? � ���9 4P� � �P 9 7 B 9 H = ? M O R Z2D B i PcK R 4k O P o { = F � = Y o L O L ; ����P � � 4 � M k O P o k O P 9 4���P 9 4^ ? O D B i � 5 H P J = Q 2 p P � s = J 5 f F = o A Q P Q k W � : � = Y o L O q z O R Zc5 f F = o 3 K R 4Tp ; 2 R h 4 L ;� �` � = 6 w o s P 6 9 4 k O P 9 7 M R Q = � H = G H = F = B I�R _ = F P 9 4v � ��� ���� , ! � $ � � � � , - � . � - * �1 ; <= <==3 4 = [ 9 H O s = J 5 f F = o n Q P ZT= 7 \ J O Ls P G _ sT^ ? O P Q k L O P z W F P B > 4 s = 7 \ J O L� R Q = F 2 L p L O 5 ? W � : = o P G _ q I O ; P F = � 4 L ; = J 5 f F = o 3 H 2 P B F W � : W f U = S q z O R Z� �R _ = F P 9 7 B 9 H = ?; L 5 4 L ; 2 P F = � 4 P Q = ?s L O ; P G _ g F O 5 � P G _ W 4 5 Z P F = � 4 2 = G J O P K L e F= J4F R J O 5 I � ]; 5v

www.mirjalili.net

36

5 F s L 2 P � n Q P Z A Q O L ; = J 5 f F = o P | Q ; � O 5 H O q I O R o d R 82 L 5 6 � 8 3 6 \ 7 Q O D Q O e 6 S O ^ 8 = F 2 p ;2 L 2 P 6 4 3 4 A Q P F = 8 2 N = K R \ H O L � O 5 Z e M P 7 o; 5 _v ; <= <==;S T ] E A � � T � � S A B U \ ] A W X Q T �^M O R Z p k O R H O W F N = F = B I L 2 = } 4 � ] 4 O R Z k O = J 2 L p ; = B i � P 8 d 5 ? * Q2P���3 z = F � P _ W F � P 8 P 9 4 N R H = 4� �4 s = J 5 f F = o t V H n Q P Z 2 L p L O 5 ? W � : = o P 9 7 B 9 H = ?R _ = F 3 4 = J s P F L = M � P �v s = J 5 f F = o s 2 P u B i p k = b O N ; 5 F � 2 P u 4 � = h : W F� P 6 � 4 s = J 5 f F = o t V H p ; 2 R h 4 3 4 5 7 8 P � � 4 L ; 1 5 SR _ = F O e } 4 n J k O p L O 5 7 J R Q = F s P G _ s = 7 \ J O L 2 3 4 = [ 9 H O s = J 5 f F = o 2 s P F L = Mv ; <= <==�O W A � � \ � W S A B U \ ] A W X Q T �^s P G _ s = J = ¨ S 2 = G H O R B 4 2 = G H = F = B I 3 I P F L ;W 9 I = \ _ k = } 4 = J s L O ; P G _ g F O 5 � L ; W MR H 5 _Tp k = 6 b O 3 4 p ; O ; 3 o = ¥ B f � o s 5 f F = o t V H; 5 _v^ ? O = J s L O ; P G _ g F O 5 � % � � 3 o = ¥ B f � o s = J 5 f F = o t V H n Q P Zv ; <= <==�O I A M E � Z � R S A B U \ ] A W X Q T �^s P G _ s = J = ¨ S 2 = J N O R B 4 2 = J N = F = B I 3 I P F L ;F 3 H = ? L � ] � O s = J 5 f F = o t V H` b O P 4 R B Q � o =r 5 C > 4 ; 5 F R J O 5 I k = } 4v � �� �� � � � � � � � � � � � � �� � ��� ���� , - � . � 0 � � $1 ; <= ==P B > 4 s = 7 \ J O L 2 s P G _ s = 7 \ J O L T 3 4 = [ 9 H O s = J 5 f F = o � 5 V I L ;TN 5 B > 6 H O 5 \ M < O L P 6 w 4 ; 5 F R J O 5 I q 7 8 � ] 4 3 f f 7 : O A B F s = Jv ; <= ==;Q P Q 5 V o * Q 2 d = H W F ; 2 R h 4 N = 7 9 I = ? d = H s = J 5 f F = o t : = m 4^ ? O N = 7 9 I = ? p L = 7 _ =v ; <= ==�^ ? O k = } 4 P Q k t : = m 4 k O p ; = Y 9 ? O P 2 M O R Z s P F L = M � P � 4 s 5 f F = o P J L ;� s P F L = M � 5 HTq ¥ _T� = I d = HTs P F L = M ; = 7 H = Q s P F L = M = F t ? = \ 4 P Q 5 V o¤d O P K 5 9 ( B i¦s L = 6 } o ^ 4 ] 8 = Q R _ = F � B ? � o r = ? s 2 = Z R H O 5 o 3 4 W Mv ; <= ==�t : = m 4 L O P ( o 2 3 > Q 5 H p L = F 2 ;^ ? O � 5 \ 7 4 5 f F = o¤ v= \ 2 9 6 ? O ; L O 5 4` 6 b P 4 ' B E u 6 o W 6 F ^ ? O k = } 4 5 f F = o W H O 2 P i L 2 R U¦v3 7 H 3 o = ¥ B f � o s = J 5 f F = o q 4 = _ W m F = � A Q O; 5 _v ; <= ==�] 4 O 2 N = F k L 5 9 ? ; P [ H k O R Q = F 5 f F = o t : = m 4�R _ = F � B h U¤ v= \ 2 9 ? O ; L O 5 4' B E u 6 o W 6 F ^ ? O k = } 4 5 f F = o W H O 2 P i L 2 R U ` b P 4¦v ; <= ==�J 5 f F = oP 6 F = J 5 f F = o r P 9 \ M N { 5 C > 4 = Q L 5 u M 3 Q = ¨ z s = J ; = G H P [ H k O = G H c t : = m 4 W M 3 Q =2 3 6 w B w Z ; O P 6 S O ^ Q = ( _ t b 5 4 W F = Q 2 ; 5 _ p ; O ; ' B E u o 3 8 = 7 9 b O � : = V 4 = Q 2 3 4 5 7 8 ^ Y 8 � ] I� : = V 4 P M : O 1 5 S s = J ; = G H ' B E u o = Q 2 3 z 5 w ZcR 6 H k W 4 R U = G H c W F = Q 2 R \ M R Q R h o O L N = HT� 5 6 \ 7 4 ^ ? Ov

www.mirjalili.net

37

; <= ==�= 6 Q 2 p R 6 \ J ; L O R u 6 J n a ] 8 < = V E u 4 P Q = ? 2 � H L 2 q ( _ k O p ; = Y 9 ? O = F W M 3 Q = J 5 f F = o s = J W 9 _ 5 H�^ > Q O�T�P m I�3 � : = m 4 P | Q ; 2s = 6 J 5 f F = o = 6 F W G � _ ; = } Q O N = ( 4 O A B : 5 C > 4 ' B E u o W F W M R H L O ; 3 4 = [ 9 H OT^ ? O � 5 \ 7 4v ; <= ==�s P F L = M ; = 7 H 2 ^ 4 ] 8 k O p ; = Y 9 ? O¤d O P K 5 9 ( B i¦� O s = G Q P F L = M s O P FW 6 F 3 4 5 6 7 8 2 s L O P m W F � 5 F P 4 A M = 4 O P 9 � Q P ? ' B E u o L 5 [ \ 4cN= J3 4 W B U 5 o; 5 _v ; <= ==�5 f F = o N = > ( Q � P � 2 5 | : O k O p ; = Y 9 ? OTs P F L = M 3 S P � 4 s = J 5 f F = o s O P FW B U 5 o � 5 H n J s = J 3 4; 5 _v � ��� ���� , - � . ) & � �1 ; <= =;=t : = m 4 § L ; p 5 h H 2 5 f F = o g ITw 4 s O P b O A B : 5 C > 4 ' B E u o W F= J 5 f F = o < O L PT= 6 H O 5 I R Q = F R _ = F ' B E u o q F = z 2v^ ? O 3 4 O e : O 5 f F = o L ; g I ; L 5 4 L ; P Q k s = J ^ Q ; 2 R h 4vW 6 F R 6 Q = F � = \ 2 9 ? O ; L O 5 4 R ? P F g F P Q y ` b O P 4 R B Q � ov ; <= =;=;^ ? O 3 4 O e : O = J 5 f F = o t : = m 4 L ; 3 ? L = S N = F k 2 g I k O p ; = Y 9 ? OvN = F k k O p ; = Y 9 ? O < L 2 P � 2s P F L = M L ; W H = | B F g I7 8 s = JW H = I 2 L O ; R \ H = 4 s L O P m � O 3 4 5T� 6 H O � L 2 O 2 3 H = 6 4 L ; A M = 4 OTi6 f2 � B ; 5 F R J O 5 I < = ¥ B f � o 2 5 f F = o < O L P w 4 s O P b O A B : 5 C > 4 ' B E u o W F W 9 > F p P B �v ; <= =;=�^ ? O 3 4 O e : O W H = F k 2 ; s P F L = M � P � 4 s = J 5 f F = o W B f M L ; W H = | B F g I P F 3 ? L = S g I ^ Q 5 : 2 Ov = J W H = E o L = Y ? s = J 5 f F = o N 5 � s ; L O 5 4 L ; = G \ oT= J = > B f MTs ; L O 5 4 P Q = ? 2 3 4 5 z s = J ^ B f z O s = J A 7 } H O; L O ; � = V 9 I O 3 H = F k 2 3 4 5 z s = J ^ B f z O 2 3 b L = I � = � o O W F s P F L = M W MT3 6 4 � Z 3 ? L = S g I ^ Q 5 : 2 O KP; ;TW H = | B F g I L = \ M L ; r = Z P J W F = 4 OTR _ = F W 9 _ O ; ; 5 b 2 R Q = F e B H 3 ? L = S g Iv ; <= =;=�B f � o s = J 5 f F = o L ; � 2 P Z p k O R H O P 2 M O R ZW a O L O s L = } o % � = \ 4 L ; W M s P F L = M � P � 4 2 3 o = ¥ 3 4R H 5 _T= Q 5 f F = o � = Y o L O d 5 ? 2 ;� �P 9 7 B 9 H = ?¤R 6 _ = F P 6 9 7 M W M d O R M P J¦; 5 6 F R 6 J O 5 Iv% � = 6 \ 4 L ; = Q 5 f F = o � = Y o L O d 5 ? 2 ; W F p k O R H O A Q O 3 H 5 ( > 4� �P 9 7 B 9 H = ?¤R 6 _ = F P 6 9 7 M W M d O R M P J¦3 6 4 ; 2 R 6 h 4 ; ; P Kv ; <= =;=�F L = M � P � 4 s = J 5 f F = o L ;3 ? L = S g I ^ Q 5 : 2 O s O L O ; W H = F k 2 ; s PTB F g I � = Y o L O|W 6 F W 6 H = d 5 ? 2 ; P 2 M O R Z N O e B 4p k O R H O^ ? O k = } 4 3 ? L = S g Iv ; <= =;=�= 6 J p ; = b t H = b k O R Q = F k = F s = ¨ S 3 o = ¥ B f � o s = J 5 f F = o L ; § L R \ 4 t : = m 4T2 = 6 J p O P 6 K L e F F 3 Q = J 5 f F = o A B \ � R _ = F � � O 2 2 = H O 5 I ] 4 = M P G _ N 2 L ; 3 H = Q P _ s = G H = F = B IW M R H 5 _ t V H s O W H 5 | F R Q = L ; 3 o = ¥ B f � o s = J 5 f F = o W m F = � L ; p R _ � Q P � o 3 Q = H O 5 I 2 W f U = S q z O R Zc; ; P K ^ Q = 8 L = G Hv

www.mirjalili.net

38

� �� �� � � � � � � � � � � � � � � � � �� � ��� ���# � ) ; <=@ ;=@=@; ; P K 3 4 W B U 5 ol = E 9 H O; ; P K A B B � o s P F L = M ^ B J = 4 W F W b 5 o = F = J 5 f F = o � H Lv ; <= ;=@=>O p ; = Y 9 ? O; = ¨ 6 9 4 = 6 Q � 6 \ J = 7 J 3 6 | H L N 5 K = H 5 K s = J t B M P o 2 � 5 \ 9 4 s = J � H L kTL ; 3 o = ¥ B f � o 2 s L = } o s = J s P F L = M s = J 5 f F = oc^ ? O ; O kv ; <= ;=@=�3 H 5 ( > 4 s = G H = 7 9 I = ? s = J 5 f F = o L ;Ts L O ; OT3 H = 4 L ;T3 � J 4Tc3 _ k 5 4T= ? 2 = J * H = FQP s P F L = M2 s L = 6 } o W B Z 2 L R z = S < O L P w 4 s O P b O r 5 C > 4 ' B E u o W F W M 3 Q = JR \ 9 > 6 J 3 6 h Q P Y oTR 6 Q = F M O R Z2k O P�; ; P K p ; = Y 9 ? O p = B ? 2 R B Y ? s = G | H L l = > 9 Z O N 2 R F � H Lv ; <= ;=@=?t � 6 _ s O P 6 F * 6 Q P 6 J 3 a O P b O s = G J = | 9 ? ; 2 = J W H = E o L O k 2 W B f M W M ; 5 _ 3 4 W B U 5 oT< = > 6 ? @ 4 A 6 Q O = 6 o R \ Q = 7 H W B G o ' E u 4 s = G | H L = F N = > ( Q s = J 5 f F = o ; 5 I g F P Q y < = > ? @ 4 2 < O L O ; O2 P 9 G FcP o N = ?R H 5 _ W 9 I = \ _v ; <= ;=@=s = J 5 f F = o W B f M � H LT 3 \ 7 Q O3 4 = [ 9 H OTs P G _ s = 7 \ J O L2% 6 � � R 6 Q = F P B > 6 4 s = 6 7 \ J O L 3 f f 7 : O A B F s = J N 5 B > H O 5 \ M < O L P w 4§ L R 6 \ 4 3 \ 7 Q O s = J � H L r 2 R b W f 7 } \ 4 3 f I O ; < O L P w 4 P Q = ? 2 < O L P w 4 A Q O L ;R _ = Fv � ��� ���� � � , - � . ) & � 9 % & * � ) � � ; <= ;=;== o s k O ; P i L 5 H` F = \ 4 g ? 5 o R Q = F s P F L = M � P � 4 s = J 5 f FHs L 5jP 6 F N 2 P B F k O W M R _ = F ^ F = 2 R F = 9 F 5 f F = o � m ?R _ = F p R _ W 9 _ O K L = M 5 f F = o q I O ; L ; = Qv2 N = K R 6 \ H O L s O P F 3 9 7 Z O e 4 R Q = � H L 5 H A Q O R Q = 7 H ; = } Q O A Q P F = 8vW f U = S L ; R Q = � H = J 5 f F = o L 5 H < L 5 U P J W F� � �* 6 Q k O D B F s P 9 7 B 9 H = ?` 7 6 _P 6 F ` F P 4 < 5 SR _ = F W 9 _ O ; < R _v ; <= ;=;=;2 = 6 J N = 7 9 I = 6 ? s 2 L n B w 9 > 6 4 D F = 6 o W 6 M R _ = F s O W H 5 K W F R Q = � H = J 5 f F = o s k O ; P i L 5 HR _ = F W 9 _ O ; � O P � O s = J s P F L = MvN = 7 9 I = 6 ? s = J = ¨ S = Q 3 4 5 7 8 P F = � 4 k O W m w H P J L ; = J 5 f F = o L 5 H < R _ * Q k O D B F R Q = � H L 2 = } 4 * f 4 = Q` 7 _P FR _ = F ` F P 4 < 5 Sv ; <= ;=;=�L 5 HL ; N = V 6 z L 2 N k * 7 u 6 � < L 5 V 6 F 3 o = 6 ¥ B f � o 2 s P F L = M � P � 4 s = J 5 f F = o s k O ; P i^ ? O � 5 \ 7 4 = J p O P K L e F W B _ = Z L ; 2 3 H 5 ( > 4 % � = \ 4vs k O ; P i L 5 6 H ^ 6 F = j L 5 6 H = 6 F g w S R Q = F = J 5 f F = o A Q O R H 5 _v ; <= ;=;=�% � = \ 4 P Q = ? L ; 2 s L = } o % � = \ 4 L ;TN = V 6 z L 2 N k * 7 u � s = J 5 f F = oTR 6 B Q � o W 6 F = 6 \ F 4 s O P b O A B : 5 C > 4^ ? O k = } 4 = J 5 f F = o < O L P wv ; <= ;=;=�e 4 P z s = G � O P � s O L O ; p R _ s k O ; P i L 5 H 3 o = ¥ B f � o s 5 f F = o t V H2; L k = Q e � ?< L 2 = } 4 L ; ` � = w o= JT ; ; P K 3 K R \ H O L s = 7 \ J O L s = J � O P � � B h U ; P M L = M ` H = 4 W ( B o L 5 V F T^ ? O � 5 \ 7 4v

www.mirjalili.net

39

; <= ;=;=�t b 5 4 W M R _ = F s O W H 5 K W F R Q = � H = J 5 f F = o s k O ; P i L 5 Hc3 K ; L ks O P 6 F ^ 6 7 Z O e 4 ; = 6 } Q O 2 ; ; P K L O 5 } 7 J r k = \ 4 2 N = | Q = > 7 Jvs 5 f F = 6 o W 6 M ; 5 _ d 5 f � 4 3 Q 5 f F = o s O P F k 5 } 4 L 2 R U k O R � F W � H = \ � ; 5 u B 4 ^ 7 Z O e 4 ; = } Q O 8 = F L 5 F e 4T= 6 J 5 f F = o < O L P 6 w 4 s O P 6 b O A B : 5 C > 4 L 5 9 ? ; W F = \ FT5 f F = 6 o * 6 : = 4 O ^ 7 Z O e 4 ` S L 2 ; 5 I s 5 f F = o P B B ¥ o W F ^ � > H ^ z 2 � P ? O L ; ^ ? O � & 5 4R Q = 7 H d O R zv ; <= ;=;=�3 a = J 5 f F = o e b W FW 6 F = J 5 f F = o < O L P w 4 s O P b O A B : 5 C > 4 W MbP 6 F ^ 6 GcN ; L 2cD Q = 6 ?T 3 4 ' E u 4 3 4 5 7 8 ^ B \ 4 O 2 ^ 4 ] ?R \ \ MTs k O ; P 6 i L 5 6 H = 6 Q 3 ( Q P 9 ( : O s P F L = M � P � 4 s = J 5 f F = o W B f M � 5 f � = o t _ W 7 B H A B F R Q = F p R _cR H 5 _ ~ 5 4 = I l = 9 Sv ; <= ;=;=�N k * 7 u � s = J 5 f F = oT2 L� P 6 h 9 4 P Q 2 = V o s O L O ; 2 p R H 5 _ ~ 5 4 = I A _T3 9 8 P 6 ? W 6 M k O D B F� �A B Q = 6 i q z O R Z W M R H 5 _ t V H s 5 h H W F R Q = F R H L O ; W w B z ; L ; N R _ ~ 5 4 = I 2 A _ 2 L W � o P 4A B 4 k � m ? = o 5 f F = o W m w H A Q P o�R _ = F P 9 4v ; <= ;=;=�= 6 J p = 6 K ; 2 P S < L 2 = 6 } 4 L ; s k O ; P i L 5 H = Q 5 f F = o � 5 H P J t V H k O q � zTk O W 6 Q R B Q � o 6 I O 2 k O 2 P i ^ Q O R J s = G u E F L ; r 5 C > 4 < = 4 = w 4L 5 F e 4 p = K ; 2 P S s P F 2 = H^ ? O 3 4 O e : Ov ; <= ;=;= <2 3 6 ( Q P 9 ( : O s = G 6 _ 2 L 2 ; 5 6 _ A 6 _ 2 L 3 6 ( Q P 9 ( : O % 6 Q P � k O P B � R Q = � H 3 Q 5 f F = o � B J 3 u ( 7 B ?cR _ = F N = 7 9 I = ? 3 f 4 < O L P w 4 = F % � m \ 4 R Q = F Nvs O 5 6 J L ; W f � 6 _ 2 W z P b k O R Q = � HcW 6 F ; O k 5 H = Q 2 � B f � o L 5 [ \ 4; 5 _ p ; = Y 9 ? O 5 f F = o s k O ; P i Lv � �� �� � � � � � � � � � � � �� ; <=@ �=@s ; 5 b 5 4 s = J 5 f F = o W F � \ J = 7 J = H s = J 5 f F = o1 ] � O3 4P Q = ¥ 4 T A B : 5 C > 4 ' B E u o W F W M ; 5 _ l 5 V 4 < O L P w 4 = F_ = FR \v3 6 4 ; L 5 I P F s P G _ P [ \ 4 W F W 7 m : 2 3 | \ J = 7 J N O e B 4 W F W 9 > F = J 5 f F = o A Q O = F ; 5 _v ; <=@ �=>= o W � H = \ �R _ = F l 5 V 4 g F O 5 � = F � \ J = 7 J = H 3 Q 5 f FT3 | \ J = 7 J = H N O e B 4 W F W 9 > FW Fp R 6 H L O ; ` 7 b W F ^ � > H = o ; 5 u B 4 p ; O ; ^ f G 4 5 f F = oc% B � m o 2 � ] U O = Q 2 s L 2cR Q = 7 H d O R z O ; 5 b 5 4 g F O 5 � = F Nv ; <=@ �=�` 6 7 b ^ 6 G b d k { s = 6 J ^ f G 4 2 � \ J = 7 J = H s = J 5 f F = o = F ; L 5 I P F p 5 h Hc2 � ] 6 U O T s L 2 % B � m ocF = G H4 A B B � o = J s L O ; P G _ < O L P w 4 O L = J 5 f F = o n Q O P b N O e B 4 2 l 5 V 4 g F O 5 � =3\ MRv

www.mirjalili.net

40

www.mirjalili.net

41

� � � � � :� � � � � � � � � ! " � �

C � I E R N � A ] S T Q U V W X Y Z [^p ; = B i L 5 � 8� 5 \ 7 4 R B u 0 H L = | B ?R Q k 2 P S = B H D o c

� 5 \ 7 4 W z P Y 9 4 ; O P S O ; 2 L 2l c^ > B H 3 H R B 4 = _ cR B \ 0 H ~ 5 4 = I l c = FR B H e H ^ ? ;W B f w H q a = ? 2 ; 2 L 2� 5 \ 7 4 3 9 � \ U

www.mirjalili.net

42

C � P B N E R � � B S T Q U V W X Y Z [^ p R H L 5 I ; O 5 4 P m I3 7 ? ; O 5 4 P m Ip P } Y \ 4 ; O 5 4 P m IO k D o c ; O 5 4 P m I 1 P F P m IP 6 m I 3 9 � \ U W B f w H q a = ? 2L = F � 5 w ? P m I 5 B 9 x O 5 Q ; O L ; O 5 4 P m I 5 B 9 x O 5 Q ; O L 5 o P i P m Ip R \ \ x R B > x O ; O 5 4 P m IL e B : W � _ O P m I P m I 3 F 2 P 0 B 4 P m IN ; = 9 S O P m I` H O 5 4 P m I3 > B � = \ ¥ 4 N O R B 4 P m I 4 2 � P h 4 ; O 5 4 P m IP ¨N ; k � Q P m I

www.mirjalili.net

43

C � P P F � R � � R S T Q U V W X Y Z [^3 \ 7 Q O 3 _ 5 K k O p ; = Y 9 ? O 3 \ 7 Q O p ] x k O p ; = Y 9 ? O 3 \ 7 Q O ) \ B 8 k O p ; = Y 9 ? O ^ ? O 3 4 O e : O ^ ? O 3 4 O e : O ^ ? O 3 4 O e : O

D 0 9 ? ; k O p ; = Y 9 ? O D Y x k O p ; = Y 9 ? O ) ? = 4 k O p ; = Y 9 ? O ^ ? O 3 4 O e : O 3 \ 7 Q O ^ ? O 3 4 O e : O 3 \ 7 Q O ^ ? O 3 4 O e : O 3 \ 7 Q OR \ F P 7 x k O p ; = Y 9 ? O

X S = h 4 k O p ; = Y 9 ? O � = � : k O p ; = Y 9 ? O p ; = B i P F = 8 P B > 4 ^ ? O 3 4 O e : O 3 \ 7 Q O ^ ? O 3 4 O e : O < L 5 U ^ ? O 3 4 O e : O 3 \ 7 Q O

www.mirjalili.net

44

E R T S A B T � � � G S E R T � R � G T L X Y Z [

S E R T � R � G T L � H � � N R N � A � I S R T ] � J � � X Y Z [� � � G R S A B � J F � ] � U ] T � S T Q U V W X Y Z [n u � s 5 u 9 > _s L O P m � O ~ 2 ;W B : 2 O s = J ) 7 M

www.mirjalili.net

45

L = 0 H O P F;¤N O 2 L ^ E o¦s L O P m � O A Y f o� Q T � S A � � R � R � � H � W � ] � U ] T � S T Q U V W X Y Z [^ s L O P m � O A Y f o% Q P Z

N = F p ; P H s = Y � O � \ f _% Q P Z s = Y � O r 5 > � x% Q P Z

� Q T � S A � � R � Y A M G � ] O M T K M N S R T ] E R N � H � � J � � X Y Z [

www.mirjalili.net