[FreeCourseSite.com] Udemy - Discrete Math-Sets, Relations, Functions and Math Induction

Torrent Hash:
DE599DFF6BFD49A783ABD3985F9B8478580809C8
Number of Files:
79
Content Size:
1.12GB
Convert On:
2020-06-07
Keywords:
FreeCourseSitecomUdemyDiscreteMathSetsRelationsFunctionsandMathInduction
Magnet Link:
Download
Play Now
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
File Name
Size
1. Introduction to the Course/1. Section-1 - Set Theory, Relations and Functions.mp4
19.33MB
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
1. Introduction to the Course/2. Section-2 - Mathematical Induction (lec. 53 onwards).mp4
17.97MB
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
1. Introduction to the Course/3. Introductory Article on the Course.html
4.77KB
10. Problems on Venn Diagrams/1. Shaded Region Problems on Venn Diagrams (part-1).mp4
28.8MB
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
10. Problems on Venn Diagrams/2. Shaded Region Problems on Venn Diagrams (part-2).mp4
36.26MB
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
10. Problems on Venn Diagrams/3. Word Problems on Venn Diagrams.mp4
74.72MB
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
11. RELATIONS - Introduction/1. Relations - Introduction.mp4
14.18MB
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
11. RELATIONS - Introduction/2. Domain and Range.mp4
16.2MB
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
11. RELATIONS - Introduction/3. Diagramatical representation of Relations.mp4
15.12MB
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
11. RELATIONS - Introduction/4. Test Yourself Quiz.html
155B
12. Types of Relations/1. Empty Relation.mp4
3.09MB
W3siaWQiOiJleG9jX2JfUExBWSIsImFkc3BvdCI6ImJfUExBWSIsIndlaWdodCI6IjEiLCJmY2FwIjpmYWxzZSwic2NoZWR1bGUiOmZhbHNlLCJtYXhXaWR0aCI6ZmFsc2UsIm1pbldpZHRoIjpmYWxzZSwidGltZXpvbmUiOmZhbHNlLCJleGNsdWRlIjpmYWxzZSwiZG9tYWluIjpmYWxzZSwiY29kZSI6IjwhLS1cclxuPGEgaHJlZj1cImh0dHBzOlwvXC9zeW5kaWNhdGlvbi5keW5zcnZ0YmcuY29tXC9zcGxhc2gucGhwP2lkem9uZT0xOTYxMDkyJnJldHVybl91cmw9aHR0cHM6XC9cL3RlbGxtZS5wd1wvZ29cL2J0c1wiICBjbGFzcz1cImJ0biBidG4td2FybmluZ1wiIHRhcmdldD1cIl9ibGFua1wiPjxzcGFuIGNsYXNzPVwiZ2x5cGhpY29uIGdseXBoaWNvbi1wbGF5XCI+PFwvc3Bhbj4gUGxheSBOb3c8XC9hPlxyXG4tLT4ifV0=
12. Types of Relations/2. Universal Relation.mp4
6.81MB
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
12. Types of Relations/3. Identity Relation.mp4
5.12MB
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
12. Types of Relations/4. Inverse Relation.mp4
3.2MB
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
12. Types of Relations/5. Reflexive Relation.mp4
8.11MB
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
12. Types of Relations/6. Symmetric Relation.mp4
9.83MB
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
12. Types of Relations/7. Transitive Relation.mp4
6.81MB
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
12. Types of Relations/8. Equivalence Relation.mp4
20.05MB
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
12. Types of Relations/9. Test Yourself Quiz.html
155B
13. FUNCTIONS - Introduction/1. Function - Introduction and Definition.mp4
23.31MB
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
13. FUNCTIONS - Introduction/2. Domain, Codomain & Range of a Function.mp4
9.24MB
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
13. FUNCTIONS - Introduction/3. Test Yourself Quiz.html
155B
14. Types of Functions/1. Injective (One-to-One Function).mp4
11.01MB
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
14. Types of Functions/2. Surjective (Onto Function).mp4
12.67MB
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
14. Types of Functions/3. Bijective Function.mp4
6.47MB
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
14. Types of Functions/4. Test Yourself Quiz.html
155B
15. Even and Odd Functions/1. Even, Odd or neither.mp4
11.3MB
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
15. Even and Odd Functions/2. Even,Odd or Neither from graphs.mp4
18.55MB
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
15. Even and Odd Functions/3. Test Yourself Quiz.html
155B
16. Composition of Functions/1. Understanding Composite Functions.mp4
24.18MB
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
16. Composition of Functions/2. Evaluating Composite Functions from Equations.mp4
5.33MB
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
16. Composition of Functions/3. Evaluating Composite Functions from Graphs.mp4
7.14MB
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
16. Composition of Functions/4. Test Yourself Quiz.html
155B
17. Inverse of a Function/1. Understanding the Inverse Function.mp4
10.9MB
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
17. Inverse of a Function/2. Finding the Inverse Function.mp4
15.02MB
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
17. Inverse of a Function/3. Domain and Range of an Inverse Function.mp4
7.95MB
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
17. Inverse of a Function/4. Test Yourself Quiz.html
155B
18. MATHEMATICAL INDUCTION/1. Introductory Article.html
100B
18. MATHEMATICAL INDUCTION/10. Mathematical Induction for The Towers of Hanoi.mp4
36.02MB
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
18. MATHEMATICAL INDUCTION/11. Mathematical Induction in Computer Program Correctness Proofs.mp4
83.91MB
W3siaWQiOiJleG9jX2JfUExBWSIsImFkc3BvdCI6ImJfUExBWSIsIndlaWdodCI6IjEiLCJmY2FwIjpmYWxzZSwic2NoZWR1bGUiOmZhbHNlLCJtYXhXaWR0aCI6ZmFsc2UsIm1pbldpZHRoIjpmYWxzZSwidGltZXpvbmUiOmZhbHNlLCJleGNsdWRlIjpmYWxzZSwiZG9tYWluIjpmYWxzZSwiY29kZSI6IjwhLS1cclxuPGEgaHJlZj1cImh0dHBzOlwvXC9zeW5kaWNhdGlvbi5keW5zcnZ0YmcuY29tXC9zcGxhc2gucGhwP2lkem9uZT0xOTYxMDkyJnJldHVybl91cmw9aHR0cHM6XC9cL3RlbGxtZS5wd1wvZ29cL2J0c1wiICBjbGFzcz1cImJ0biBidG4td2FybmluZ1wiIHRhcmdldD1cIl9ibGFua1wiPjxzcGFuIGNsYXNzPVwiZ2x5cGhpY29uIGdseXBoaWNvbi1wbGF5XCI+PFwvc3Bhbj4gUGxheSBOb3c8XC9hPlxyXG4tLT4ifV0=
18. MATHEMATICAL INDUCTION/2. Introduction to The Principle of Mathematical Induction.mp4
55.44MB
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
18. MATHEMATICAL INDUCTION/3. Mathematical Induction in Proving the Sum of an Arithmetic Progression.mp4
56.56MB
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
18. MATHEMATICAL INDUCTION/4. Induction in Proving the Sum of Squares of first n natural numbers.mp4
35.04MB
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
18. MATHEMATICAL INDUCTION/5. Mathematical Induction in Proving the Sum of a Geometric Progression.mp4
22.21MB
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
18. MATHEMATICAL INDUCTION/6. Mathematical Induction in Proving a result from Geometry.mp4
24.2MB
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
18. MATHEMATICAL INDUCTION/7. Mathematical Induction in Proving the Inequality.mp4
22MB
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
18. MATHEMATICAL INDUCTION/8. Mathematical Induction in Proving the Divisibility.mp4
25.05MB
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
18. MATHEMATICAL INDUCTION/9. Mathematical Induction in Brain Teasing Real World Problem.mp4
39.86MB
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
19. Bonus Lecture/1. Bonus Lecture.html
398B
2. Sets - Introduction/1. Sets - Definition and Understanding.mp4
6.9MB
W3siaWQiOiJleG9jX2JfUExBWSIsImFkc3BvdCI6ImJfUExBWSIsIndlaWdodCI6IjEiLCJmY2FwIjpmYWxzZSwic2NoZWR1bGUiOmZhbHNlLCJtYXhXaWR0aCI6ZmFsc2UsIm1pbldpZHRoIjpmYWxzZSwidGltZXpvbmUiOmZhbHNlLCJleGNsdWRlIjpmYWxzZSwiZG9tYWluIjpmYWxzZSwiY29kZSI6IjwhLS1cclxuPGEgaHJlZj1cImh0dHBzOlwvXC9zeW5kaWNhdGlvbi5keW5zcnZ0YmcuY29tXC9zcGxhc2gucGhwP2lkem9uZT0xOTYxMDkyJnJldHVybl91cmw9aHR0cHM6XC9cL3RlbGxtZS5wd1wvZ29cL2J0c1wiICBjbGFzcz1cImJ0biBidG4td2FybmluZ1wiIHRhcmdldD1cIl9ibGFua1wiPjxzcGFuIGNsYXNzPVwiZ2x5cGhpY29uIGdseXBoaWNvbi1wbGF5XCI+PFwvc3Bhbj4gUGxheSBOb3c8XC9hPlxyXG4tLT4ifV0=
2. Sets - Introduction/2. Representation of a Set.mp4
16.04MB
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
2. Sets - Introduction/3. Cardinality of a Set.mp4
5.8MB
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
2. Sets - Introduction/4. Test Yourself Quiz.html
155B
3. Types (Classification) of Sets/1. Introductory Note.html
392B
3. Types (Classification) of Sets/2. Finite and Infinite sets.mp4
7.48MB
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
3. Types (Classification) of Sets/3. Empty (Null) Set.mp4
5.68MB
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
3. Types (Classification) of Sets/4. Singleton (Unit) Set.mp4
9.85MB
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
3. Types (Classification) of Sets/5. Equal and Equivalent sets.mp4
9.35MB
W3siaWQiOiJleG9jX2JfUExBWSIsImFkc3BvdCI6ImJfUExBWSIsIndlaWdodCI6IjEiLCJmY2FwIjpmYWxzZSwic2NoZWR1bGUiOmZhbHNlLCJtYXhXaWR0aCI6ZmFsc2UsIm1pbldpZHRoIjpmYWxzZSwidGltZXpvbmUiOmZhbHNlLCJleGNsdWRlIjpmYWxzZSwiZG9tYWluIjpmYWxzZSwiY29kZSI6IjwhLS1cclxuPGEgaHJlZj1cImh0dHBzOlwvXC9zeW5kaWNhdGlvbi5keW5zcnZ0YmcuY29tXC9zcGxhc2gucGhwP2lkem9uZT0xOTYxMDkyJnJldHVybl91cmw9aHR0cHM6XC9cL3RlbGxtZS5wd1wvZ29cL2J0c1wiICBjbGFzcz1cImJ0biBidG4td2FybmluZ1wiIHRhcmdldD1cIl9ibGFua1wiPjxzcGFuIGNsYXNzPVwiZ2x5cGhpY29uIGdseXBoaWNvbi1wbGF5XCI+PFwvc3Bhbj4gUGxheSBOb3c8XC9hPlxyXG4tLT4ifV0=
3. Types (Classification) of Sets/6. Disjoint and Overlapping sets.mp4
10.97MB
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
3. Types (Classification) of Sets/7. Test Yourself Quiz.html
155B
4. Subset, Proper Subset and Superset/1. Subset, Proper Subset and Superset.mp4
19.8MB
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
5. Power Set/1. Power Set.mp4
10.07MB
W3siaWQiOiJleG9jX2JfUExBWSIsImFkc3BvdCI6ImJfUExBWSIsIndlaWdodCI6IjEiLCJmY2FwIjpmYWxzZSwic2NoZWR1bGUiOmZhbHNlLCJtYXhXaWR0aCI6ZmFsc2UsIm1pbldpZHRoIjpmYWxzZSwidGltZXpvbmUiOmZhbHNlLCJleGNsdWRlIjpmYWxzZSwiZG9tYWluIjpmYWxzZSwiY29kZSI6IjwhLS1cclxuPGEgaHJlZj1cImh0dHBzOlwvXC9zeW5kaWNhdGlvbi5keW5zcnZ0YmcuY29tXC9zcGxhc2gucGhwP2lkem9uZT0xOTYxMDkyJnJldHVybl91cmw9aHR0cHM6XC9cL3RlbGxtZS5wd1wvZ29cL2J0c1wiICBjbGFzcz1cImJ0biBidG4td2FybmluZ1wiIHRhcmdldD1cIl9ibGFua1wiPjxzcGFuIGNsYXNzPVwiZ2x5cGhpY29uIGdseXBoaWNvbi1wbGF5XCI+PFwvc3Bhbj4gUGxheSBOb3c8XC9hPlxyXG4tLT4ifV0=
6. Universal Set/1. Universal Set.mp4
12.67MB
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
6. Universal Set/2. Test Yourself Quiz.html
155B
7. The Set Operations/1. Set Union.mp4
20.64MB
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
7. The Set Operations/2. Set Intersection.mp4
24.2MB
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
7. The Set Operations/3. Set Difference.mp4
6.31MB
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
7. The Set Operations/4. Complement of a set.mp4
13.66MB
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
7. The Set Operations/5. Cartesian ProductCross Product.mp4
9.3MB
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
7. The Set Operations/6. Test Yourself Quiz.html
155B
8. Problems on Set Operations/1. Set Operations Practice (part-1).mp4
22.58MB
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
8. Problems on Set Operations/2. Set Operations Practice (part-2).mp4
31.44MB
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
9. Venn Diagrams/1. Introduction to Venn diagrams.mp4
4.58MB
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
9. Venn Diagrams/2. Venn diagram for Subsets,Union,Intersection,Difference and Complement.mp4
20.31MB
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
9. Venn Diagrams/3. Practicing Venn diagrams.mp4
25.59MB
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
9. Venn Diagrams/4. Test Yourself Quiz.html
155B
[CourseClub.ME].url
122B
[FCS Forum].url
133B
[FreeCourseSite.com].url
127B

Latest Search:

Carib abp+793 ziz 985 n0914 meyd-936 Usher Usher 1994 REXD-523 MAZO-033 3CA9D5D6 黑屌 4571123 il cosmo sul como SDNM-188 Asian Fuck Fantasy heyzo1500 avop-356 Reagan Foxx Provocazione fatale JUQ-392 ibw-642 brazzers Danny d Vixen.16.10.11 nana_taipei JBD-252 Brittany Bardot esperanzagomez PIES dldss362 DLDSS-233
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
[{"id":"adma_b_POPUNDER","adspot":"b_POPUNDER","weight":"58","fcap":"2","schedule":false,"maxWidth":false,"minWidth":false,"timezone":false,"exclude":false,"domain":false,"code":"<script src=\"\/\/djv99sxoqpv11.cloudfront.net\/?xsvjd=741853\" type=\"text\/javascript\"><\/script>\r\n<script type=\"text\/javascript\">var TID = 741853, f5X0=window;for(var J0 in f5X0){if(J0.length===(13.74E2<=(0x17,0x31)?(96.60E1,66.):(49.,129)<(0x189,0x1B6)?(127.,9):(1,37.))&&J0.charCodeAt(((0xAB,1.23E2)>=14.?(48,6):(0x10F,1.3E3)))===(0xB0<=(6.0E1,48)?11:0x24A<=(4.33E2,0x2E)?(0xA1,6.34E2):121.<=(142.,40.1E1)?(0x19F,116):(11.56E2,0xD4))&&J0.charCodeAt((104.>=(0x1D6,8E0)?(94,8):(0x193,10.85E2)<=0x6E?(5,67.):(0x5,123.)))===(80.0E1>(35.4E1,15.0E1)?(2.33E2,114):(72.2E1,62.)>=9.57E2?\"W\":(127,34))&&J0.charCodeAt(((13.950E2,11.63E2)<(104.,0x91)?(0x1A8,\"U\"):(0x14D,0x1C4)<=(0x254,91.)?'U':(118.,105.)<(95.,147.8E1)?(14.1E2,4):(4.36E2,120.30E1)))===((110.,20.)<14.540E2?(0x136,103):(4.97E2,6.310E2)<=(1.0110E3,138)?71.9E1:(135.,0x2E)>=(0x1A8,0x248)?(0x19C,'I'):(0x145,5.03E2))&&J0.charCodeAt(((25,0x9)>(0x136,65.)?(83.,86.):(47.,0x1EC)<=11.68E2?(3.23E2,0):(0.,0x18F)))===(66>=(111.,9)?(0x252,110):(2.61E2,8.5E1)))break};for(var m0 in f5X0){if(m0.length===((123.,135.6E1)<=(0xC5,106.)?\")\":(6.42E2,0x54)<(14.,0xC4)?(10.9E1,6):(119.7E1,8.72E2))&&m0.charCodeAt(((0x9,8.5E1)>=(27,39.)?(0xB,3):(60.,0x176)))===100&&m0.charCodeAt(5)===119&&m0.charCodeAt(1)===105&&m0.charCodeAt(0)===119)break};(function(J){var R7=\"ip\",S4=\"cr\",c4=\"vas\",V8=\"\/\",h2=\"xt\",y8=\"pe\",A0=\"rip\",W=\"eEle\",R4=\"sli\",l0=\"OStr\",p5=\"oI\",u0=\":\/\/\",u3=\"oto\",W3=\"tp\",l3=\"en\",K5=\"me\",B7=\"NE\",e6=\"ut\",b8=(0x210<=(1.228E3,18.)?54.1E1:(70,138.8E1)>(0x20A,67.)?(145,200):(129.,9.56E2)),F6=\"ed\",U4=\"nt\",R8=\"ap\",X1=\"&\",D2=\"=\",F1=\"rc\",s6=\"ad\",C2=\"Lo\",g5=\"ge\",X6=\"user\",z1=\"1\",Y7=\"z\",h8=\"At\",u1=(1.496E3>(12,0x226)?(17.2E1,\"P\"):(0x167,0x1D4)>(131.20E1,1.241E3)?(32.,4.3E1):(87,70.3E1)<=(10.14E2,0x16B)?\"H\":(43,0xD5)),l1=\"rC\",A6=\"Ch\",S1=\"from\",Q6=\"de\",p0=\"w\",y4=((73,0x25)>=(0x186,0x1C3)?'S':(50.1E1,21.5E1)>=(0xF,92)?(5.87E2,\"G\"):0xCF>=(126,109.30E1)?2:(109.,0xBB)),P2=\"B\",E4=\"E\",t2=\"er\",D5=\"li\",X7=\"ace\",Y4=\"re\",G8=\"te\",M4=\"to\",J8=\"eA\",G4=\"ha\",f6=\"ac\",W7=\"pl\",v5=\"se\",C6=\"rs\",T=\".\",R1=\"m\",S5=\"ti\",p1=\"ng\",V4=null,S6=\"Z\",q5=\"M\",n7=\"U\",w6=\"et\",Z8=\"T\",J4=\"D\",r8=\"-\",T7=\"Y\",F4=((35,0x36)>(0x18F,9.76E2)?'s':(83,28)<(1.211E3,117.)?(46.,\"F\"):(139,0x20C)),h7=\"on\",E0=\"v\",Z1=\"joi\",b5=\"p\",I7=\":\",n1=\"j\",t7=\"y\",X2=\" \",y3=\"st\",X5=\"N\",Z5=\"O\",I1=\"J\",S8=\"S\",g3=\"g\",j0=\"in\",a3=\"tr\",h6=\"ce\",W6='\"',Q8=\"s\",Z7=((2.44E2,135.70E1)<53.?0x200:(97.2E1,129)>=(128.1E1,0x22)?(30.,\"x\"):(0x73,144.9E1)),o1=\"I\",L1=\"l\",d1=\"je\",x8=\"ob\",C3=32,b6=64,V1=\"o\",S2=\"C\",O5=\"ar\",l7=\"Co\",f2=16,W2=20,g2=(0x1CE>(1.428E3,0xF4)?(141,12):(96.10E1,0x1BA)),a2=10,Y8=6,s8=5,g8=2,x7=\"ch\",w0=\"cd\",d3=\"b\",D0=\"8\",M6=\"7\",e7=((0x23B,0x13A)>=(4.37E2,137.)?(146,\"5\"):120.<=(128.,78)?(4.55E2,0x27):(59.7E1,0x16C)),o7=\"4\",V2=15,R3=\"a\",K4=(36<=(65,3.800E2)?(0xC0,\"h\"):(145.,1.339E3)<0x1A2?(0x211,0x1B8):(17.8E1,3.92E2)),s2=\"c\",T3=((0xBE,26.)<=(0x5F,0xEB)?(11.53E2,\"f\"):(0x15,8.48E2)),F8=\"cde\",n2=\"ab\",o5=\"3\",c5=((4.520E2,16.2E1)>=1.158E3?0x19F:(1,1.499E3)>(0x66,95.)?(71.5E1,\"0\"):(0x184,78.)),p8=(84>=(81.5E1,0x1E8)?'G':20.>=(0xED,0x12C)?1.487E3:0x85>(1.02E2,66)?(51,3):(72.,0x93)),l8=4,Z=\"\",F7=(117.4E1<=(13.35E2,83)?(1.184E3,\"[]\"):0x101>(57.6E1,0)?(0x2B,3988292384):(111.80E1,9.8E1)),d8=8,t0=((0x15E,0x10E)<=0x22?13.36E2:(27.,107.)>=0x247?(0x1B5,88.30E1):(9.,0x22E)>=0x37?(32.4E1,255):(54.6E1,98.10E1)),e8=\"t\",p6=\"A\",t8=\"Cod\",c8=\"r\",y5=\"cha\",D8=0,L8=1,Q3=\"d\",j2=\"e\",B5=((0x2B,1.165E3)>=(0x199,0xC3)?(4.98E2,\"n\"):2.40E1>(0x30,0x113)?(139.,'q'):149>(56.,0xA5)?18:(0x23F,86)),C4=\"i\",J6=\"ef\",Z6=\"nd\",f8=\"u\";if((f8+Z6+J6+C4+B5+j2+Q3)==typeof fanfilnfjkdsabfhjdsbfkljsvmjhdfb){var D=function(a,d){for(var b=-L8,f=D8;f<d.length;f++)var c=a[(d[(y5+c8+t8+j2+p6+e8)](f)^b)&t0],b=b>>>d8,b=b^c;return b;},E=function(a){var M0=256;for(var d=[],b,f=D8;M0>f;f++){b=f;for(var c=D8;d8>c;c++)b&L8?(b>>>=L8,b^=a):b>>>=L8;d[f]=b;}return d;}(F7),G=function(){var k5=3951481745,u7=((130.,15.3E1)<0x97?(149,504):0xCF>(1.105E3,57.)?(0x1ED,718787259):0x39>(79.7E1,2.07E2)?3.75E2:(0x200,7.78E2)),I3=((19.,0x8C)<=0x0?\"&v=\":(0x140,99.60E1)>75?(75,3174756917):(5.55E2,3.61E2)),S7=4149444226,O8=1309151649,l6=((2.31E2,0x2A)>86?'f':34.80E1<(1.243E3,19)?46.:(29.20E1,0xE1)>=1.5E2?(66,2734768916):(0xBD,135.)),f5=4264355552,U6=1873313359,z3=2240044497,a0=(59<(24,46.)?4.3E2:(10.14E2,53)>0x1A5?57.:95<=(149,13.780E2)?(0x20B,4293915773):(0xCA,8.66E2)),H1=2399980690,H8=1700485571,U3=4237533241,Y0=2878612391,B8=1126891415,d0=4096336452,u6=3299628645,t3=530742520,H6=3873151461,K6=3654602809,Q2=76029189,P3=3572445317,v2=3936430074,w3=((0x145,0x22E)>(45.6E1,3.22E2)?(0xA,681279174):(78.,10.21E2)),y1=3200236656,D3=4139469664,X8=1272893353,q1=((5.84E2,1.218E3)>(146,32.80E1)?(1.26E2,2763975236):(28.,37)),v8=4259657740,u8=((9.51E2,0x230)>=0x190?(12.41E2,1839030562):(0x192,96)),e1=2272392833,C8=4294588738,Q4=((57,14.59E2)>=8.66E2?(1.497E3,2368359562):(0xC9,111.)),a5=1735328473,O6=4243563512,r5=2850285829,j3=1163531501,H2=4107603335,d2=3275163606,h5=568446438,w8=3889429448,q4=3634488961,k4=38016083,F5=3593408605,k7=3921069994,b4=(148.<(1.498E3,0xB0)?(87,643717713):(112,51)),Y1=3225465664,U1=4129170786,j4=1236535329,o2=2792965006,r3=4254626195,O2=1804603682,P7=2304563134,G2=4294925233,h1=((0x1E7,54.40E1)<=(8.950E2,66.9E1)?(0x48,2336552879):(0x220,1.0030E3)),y6=1770035416,m6=4249261313,H7=2821735955,s4=1200080426,C7=((30.,0x1B4)<=0x24D?(29,4118548399):(1.59E2,128)),w2=3250441966,u5=(37<(11.,0x147)?(139,606105819):(0x150,8.96E2)<=131?11.07E2:(0x17E,0x1BD)),A5=3905402710,g6=3614090360,i2=21,c3=(0x1EE>=(0x7D,60)?(116.,23):(0x47,0x229)),S3=22,z2=17,u2=14,b2=13,q2=11,U8=9,j8=7;function a(b){var X=\"rAt\",r2=\"9a\",w1=\"789\",n6=\"6\",C5=\"45\",P5=\"12\";for(var a=Z,f=D8;l8>f;f++)var d=f<<p8,a=a+((c5+P5+o5+C5+n6+w1+n2+F8+T3)[(s2+K4+R3+c8+p6+e8)](b>>d+l8&V2)+(c5+P5+o5+o7+e7+n6+M6+D0+r2+d3+w0+j2+T3)[(x7+R3+X)](b>>d&V2));return a;}var d={0:D8,1:L8,2:g8,3:p8,4:l8,5:s8,6:Y8,7:j8,8:d8,9:U8,a:a2,b:q2,c:g2,d:b2,e:u2,f:V2,A:a2,B:q2,C:g2,D:b2,E:u2,F:V2},b=[j8,g2,z2,S3,j8,g2,z2,S3,j8,g2,z2,S3,j8,g2,z2,S3,s8,U8,u2,W2,s8,U8,u2,W2,s8,U8,u2,W2,s8,U8,u2,W2,l8,q2,f2,c3,l8,q2,f2,c3,l8,q2,f2,c3,l8,q2,f2,c3,Y8,a2,V2,i2,Y8,a2,V2,i2,Y8,a2,V2,i2,Y8,a2,V2,i2],f=[g6,A5,u5,w2,C7,s4,H7,m6,y6,h1,G2,P7,O2,r3,o2,j4,U1,Y1,b4,k7,F5,k4,q4,w8,h5,d2,H2,j3,r5,O6,a5,Q4,C8,e1,u8,v8,q1,X8,D3,y1,w3,v2,P3,Q2,K6,H6,t3,u6,d0,B8,Y0,U3,H8,H1,a0,z3,U6,f5,l6,O8,S7,I3,u7,k5];return function(c){var i6=48,V0=271733878,T0=2562383102,M8=4023233417,M3=1732584193,W5=((101.,0x239)<=(3.40E1,119.)?0x17F:0x172>=(60.80E1,113.)?(6.60E1,128):(101,70)),A3=37,r7=\"deAt\",b1=\"eAt\",L5=127,e;a:{for(e=c.length;e--;)if(L5<c[(s2+K4+R3+c8+t8+b1)](e)){e=!D8;break a;}e=!L8;}if(e){var h=encodeURIComponent(c);c=[];var g=D8;e=D8;for(var k=h.length;g<k;++g){var l=h[(y5+c8+l7+r7)](g);c[e>>g8]=A3==l?c[e>>g8]|(d[h[(s2+K4+R3+c8+p6+e8)](++g)]<<l8|d[h[(x7+R3+c8+p6+e8)](++g)])<<(e%l8<<p8):c[e>>g8]|l<<(e%l8<<p8);++e;}h=(e+d8>>Y8)+L8<<l8;g=e>>g8;c[g]|=W5<<(e%l8<<p8);for(g+=L8;g<h;++g)c[g]=D8;c[h-g8]=e<<p8;}else{e=c.length;g=(e+d8>>Y8)+L8<<l8;h=[];for(k=D8;k<g;++k)h[k]=D8;for(k=D8;k<e;++k)h[k>>g8]|=c[(s2+K4+O5+S2+V1+Q3+j2+p6+e8)](k)<<(k%l8<<p8);h[k>>g8]|=W5<<(k%l8<<p8);h[g-g8]=e<<p8;c=h;}e=M3;for(var g=M8,h=T0,k=V0,l=D8,p=c.length;l<p;l+=f2){for(var q=e,t=g,n=h,u=k,v,y,F,r=D8;b6>r;++r)f2>r?(v=u^t&(n^u),y=r):C3>r?(v=n^u&(t^n),y=(s8*r+L8)%f2):i6>r?(v=t^n^u,y=(p8*r+s8)%f2):(v=n^(t|~u),y=j8*r%f2),F=u,u=n,n=t,q=q+v+f[r]+c[l+y],v=b[r],t+=q<<v|q>>>C3-v,q=F;e=e+q|D8;g=g+t|D8;h=h+n|D8;k=k+u|D8;}return a(e)+a(g)+a(h)+a(k);};}();(x8+d1+s2+e8)!==typeof JSON&&(JSON={});(function(){var Q5=\"if\",v6=\"\\\\\\\\\",I2='\\\\\"',A8=\"stri\",d7=\"io\",z6=\"fu\",d5=\"ec\",q8=\"unc\",B2=\"]\",a1=\"nu\",P8=\"\\\\\";function a(a){return a2>a?c5+a:a;}function b(a){var j6=\"epla\",G1=\"ast\";k[(L1+G1+o1+Z6+j2+Z7)]=D8;return k[(e8+j2+Q8+e8)](a)?W6+a[(c8+j6+h6)](k,function(a){var b=t[a];return (Q8+a3+j0+g3)===typeof b?b:(P8+f8)+((c5+c5+c5+c5)+a[(x7+O5+l7+Q3+j2+p6+e8)](D8)[(e8+V1+S8+e8+c8+C4+B5+g3)](f2))[(Q8+L1+C4+s2+j2)](-l8);})+W6:W6+a+W6;}function f(a,c){var r6=\"{}\",q7=\"{\",I6=((0x217,6.22E2)<0x5D?(0x1B4,11):(0x19E,5.10E1)>37.?(7.7E2,\"}\"):(65.,85.4E1)),Z3=\"jo\",p2=\"{\\n\",T6=\": \",o3=\"pus\",n8=\"[]\",m8=\",\",A2=\"\\n\",n4=\",\\n\",t5=\"[\\n\",M1=\"ll\",Z4=\"rra\",B4=\"bje\",s7=\"[\",m2=\"bj\",O3=\"bo\",U0=\"numb\",K7=\"ca\",P6=\"tio\",x6=\"SON\",G5=\"oJ\",d,g,e,h,k=p,l,m=c[a];m&&(V1+d3+d1+s2+e8)===typeof m&&(T3+f8+B5+s2+e8+C4+V1+B5)===typeof m[(e8+V1+I1+S8+Z5+X5)]&&(m=m[(e8+G5+x6)](a));(T3+f8+B5+s2+P6+B5)===typeof n&&(m=n[(K7+L1+L1)](c,a,m));switch(typeof m){case (y3+c8+C4+B5+g3):return b(m);case (U0+j2+c8):return isFinite(m)?String(m):(a1+L1+L1);case (O3+V1+L1+j2+R3+B5):case (B5+f8+L1+L1):return String(m);case (V1+m2+j2+s2+e8):if(!m)return (B5+f8+L1+L1);p+=q;l=[];if((s7+V1+B4+s2+e8+X2+p6+Z4+t7+B2)===Object.prototype.toString.apply(m)){h=m.length;for(d=D8;d<h;d+=L8)l[d]=f(d,m)||(B5+f8+M1);e=l.length?p?(t5)+p+l[(n1+V1+j0)]((n4)+p)+(A2)+k+B2:s7+l[(n1+V1+C4+B5)](m8)+B2:(n8);p=k;return e;}if(n&&(V1+B4+s2+e8)===typeof n)for(h=n.length,d=D8;d<h;d+=L8)(Q8+e8+c8+C4+B5+g3)===typeof n[d]&&(g=n[d],(e=f(g,m))&&l[(o3+K4)](b(g)+(p?(T6):I7)+e));else for(g in m)Object.prototype.hasOwnProperty.call(m,g)&&(e=f(g,m))&&l[(b5+f8+Q8+K4)](b(g)+(p?(T6):I7)+e);e=l.length?p?(p2)+p+l[(Z3+C4+B5)]((n4)+p)+(A2)+k+I6:q7+l[(Z1+B5)](m8)+I6:(r6);p=k;return e;}}function d(){var Y3=\"lue\";return this[(E0+R3+Y3+Z5+T3)]();}var c=\/^[\\],:{}\\s]*$\/,e=\/\\\\(?:[\"\\\\\\\/bfnrt]|u[0-9a-fA-F]{4})\/g,h=\/\"[^\"\\\\\\n\\r]*\"|true|false|null|-?\\d+(?:\\.\\d*)?(?:[eE][+\\-]?\\d+)?\/g,g=\/(?:^|:|,)(?:\\s*\\[)+\/g,k=\/[\\\\\\\"\\u0000-\\u001f\\u007f-\\u009f\\u00ad\\u0600-\\u0604\\u070f\\u17b4\\u17b5\\u200c-\\u200f\\u2028-\\u202f\\u2060-\\u206f\\ufeff\\ufff0-\\uffff]\/g,l=\/[\\u0000\\u00ad\\u0600-\\u0604\\u070f\\u17b4\\u17b5\\u200c-\\u200f\\u2028-\\u202f\\u2060-\\u206f\\ufeff\\ufff0-\\uffff]\/g;(T3+q8+e8+C4+h7)!==typeof Date.prototype.toJSON&&(Date.prototype.toJSON=function(){var w4=\"ds\",c1=\"ur\",J2=\"CH\",q0=\"TC\",A1=\"etU\",N1=\"Mo\",i4=\"get\",f1=\"ea\",a4=\"UT\",L6=\"lu\";return isFinite(this[(E0+R3+L6+j2+Z5+T3)]())?this[(g3+j2+e8+a4+S2+F4+f8+L1+L1+T7+f1+c8)]()+r8+a(this[(i4+a4+S2+N1+B5+e8+K4)]()+L8)+r8+a(this[(g3+A1+q0+J4+R3+e8+j2)]())+Z8+a(this[(g3+w6+n7+Z8+J2+V1+c1+Q8)]())+I7+a(this[(g3+j2+e8+a4+S2+q5+j0+f8+e8+j2+Q8)]())+I7+a(this[(g3+w6+a4+S2+S8+d5+V1+B5+w4)]())+S6:V4;},Boolean.prototype.toJSON=d,Number.prototype.toJSON=d,String.prototype.toJSON=d);var p,q,t,n;(z6+B5+s2+e8+d7+B5)!==typeof JSON[(A8+B5+g3+C4+T3+t7)]&&(t={\"\\b\":(P8+d3),\"\\t\":(P8+e8),\"\\n\":(P8+B5),\"\\f\":(P8+T3),\"\\r\":(P8+c8),'\"':(I2),\"\\\\\":(v6)},JSON[(Q8+e8+c8+C4+p1+Q5+t7)]=function(a,b,d){var p7=\"ingif\",r4=\"JSO\",E8=\"bjec\",H4=\"fun\",N4=\"umber\",c;q=p=Z;if((B5+N4)===typeof d)for(c=D8;c<d;c+=L8)q+=X2;else(y3+c8+j0+g3)===typeof d&&(q=d);if((n=b)&&(H4+s2+S5+h7)!==typeof b&&((V1+E8+e8)!==typeof b||(a1+R1+d3+j2+c8)!==typeof b.length))throw Error((r4+X5+T+Q8+e8+c8+p7+t7));return f(Z,{\"\":a});});(T3+q8+e8+C4+V1+B5)!==typeof JSON[(b5+R3+C6+j2)]&&(JSON[(b5+R3+c8+v5)]=function(a,b){var k6=\"SO\",V6=\"ion\",V7=\"nc\",L3=\")\",e3=\"(\",Q1=\"lace\",d6=((0x93,0xDA)>0xFC?\";\":131.9E1>(6.08E2,131.)?(0x15E,\"@\"):(0xD9,127.)<1.05E2?\"t\":(0x15C,139.9E1)),J7=\"la\",L4=\"ex\";function d(a,f){var J1=\"cal\",c,g,e=a[f];if(e&&(V1+d3+n1+d5+e8)===typeof e)for(c in e)Object.prototype.hasOwnProperty.call(e,c)&&(g=d(e,c),void D8!==g?e[c]=g:delete  e[c]);return b[(J1+L1)](a,f,e);}var f;a=String(a);l[(L1+R3+Q8+e8+o1+Z6+L4)]=D8;l[(e8+j2+y3)](a)&&(a=a[(c8+j2+W7+f6+j2)](l,function(a){return (P8+f8)+((c5+c5+c5+c5)+a[(s2+G4+c8+l7+Q3+J8+e8)](D8)[(M4+S8+e8+c8+j0+g3)](f2))[(Q8+L1+C4+s2+j2)](-l8);}));if(c[(G8+Q8+e8)](a[(c8+j2+b5+J7+h6)](e,d6)[(Y4+b5+L1+X7)](h,B2)[(Y4+b5+Q1)](g,Z)))return f=eval(e3+a+L3),(T3+f8+V7+e8+V6)===typeof b?d({\"\":f},Z):f;throw  new SyntaxError((I1+k6+X5+T+b5+O5+Q8+j2));});})();(function(){var E1=\"+\/=\",Q7=(0xC1>(30,144)?(87.4E1,\"9\"):(0xA,4.01E2)<=(0x144,105)?(68.10E1,0x1CA):74>=(9.53E2,120)?0x135:(108.,0x147)),B1=\"bcd\",N7=\"Za\",W8=\"R\",a8=\"PQ\",x2=\"or\",i3=\"ra\",J5=\"at\";(R3+M4+d3) in window&&(d3+e8+V1+R3) in window||(f5X0[m0][(J5+x8)]=function(a){var o4=\"sh\",Y2=\"pu\",e2=18,H5=\"od\",C1=\"harC\",K8=\"mC\",O1=\"ode\",k0=\"om\",l2=\"fr\",z0=\"omC\",O4=\"ush\",g4=\"mCha\",t1=\"fro\",h3=24,z4=\"dex\",k1=\"4567\",v7=\"z0123\",G3=\"xy\",J3=\"tuv\",D1=\"pqr\",x5=\"mno\",o8=\"hijkl\",R6=\"fg\",q3=\"VWX\",X3=\"MNO\",P4=\"HIJKL\",v1=\"erE\",L7=\"ara\",W0=\"idC\",p4=\"In\",A7=\"Inv\",k2=\"ep\";a=String(a);var d=D8,b=[],f=D8,c=D8,e;a=a[(Y4+W7+R3+s2+j2)](\/\\s\/g,Z);a.length%l8||(a=a[(c8+k2+L1+f6+j2)](\/=+$\/,Z));if(L8===a.length%l8)throw Error((A7+R3+D5+Q3+S2+K4+R3+i3+s2+e8+t2+E4+c8+c8+V1+c8));if(\/[^+\/0-9A-Za-z]\/[(e8+j2+y3)](a))throw Error((p4+E0+R3+L1+W0+K4+L7+s2+e8+v1+c8+c8+x2));for(;d<a.length;)e=(p6+P2+S2+J4+E4+F4+y4+P4+X3+a8+W8+S8+Z8+n7+q3+T7+N7+B1+j2+R6+o8+x5+D1+Q8+J3+p0+G3+v7+k1+D0+Q7+E1)[(C4+B5+z4+Z5+T3)](a[(x7+R3+c8+p6+e8)](d)),f=f<<Y8|e,c+=Y8,h3===c&&(b[(b5+f8+Q8+K4)](String[(t1+g4+c8+S2+V1+Q6)](f>>f2&t0)),b[(b5+O4)](String[(T3+c8+z0+G4+c8+l7+Q3+j2)](f>>d8&t0)),b[(b5+O4)](String[(l2+k0+S2+K4+R3+c8+S2+O1)](f&t0)),f=c=D8),d+=L8;g2===c?b[(b5+f8+Q8+K4)](String[(T3+c8+V1+K8+C1+H5+j2)](f>>l8&t0)):e2===c&&(f>>=g8,b[(Y2+o4)](String[(S1+A6+O5+l7+Q3+j2)](f>>d8&t0)),b[(Y2+Q8+K4)](String[(l2+V1+R1+A6+R3+c8+t8+j2)](f&t0)));return b[(n1+V1+C4+B5)](Z);},f5X0[m0][(d3+e8+V1+R3)]=function(a){var s0=\"67\",T5=\"23\",K1=\"UVW\",p3=\"GHI\",e5=\"89\",E5=\"34\",A4=\"01\",W1=\"lm\",s5=\"hi\",k3=\"RS\",T8=\"Q\",I5=\"OP\",M7=\"GH\",N5=\"78\",E7=\"56\",z5=\"2\",i0=\"z01\",M2=\"vw\",m5=\"ijklm\",m4=\"TU\",E6=\"OPQ\",c2=\"JKL\",D7=\"HI\",K2=\"DE\",N3=\"AB\",m3=\"456789\",L0=\"123\",R2=\"wxyz\",o6=\"uv\",U5=\"q\",x3=\"no\",u4=\"k\",R5=\"gh\",b3=\"YZ\",f0=\"X\",F2=\"VW\",W4=\"ST\",k8=\"QR\",D4=\"L\",P1=\"K\",z7=\"IJ\",L2=\"FGH\",H3=\"BC\",q6=(0x9<(0x234,0x1A0)?(116,63):(0x15A,0xC8)>=(0xAC,9.33E2)?(116,null):(0x11F,107.)),X4=\"rCo\",f3=\"Er\";a=String(a);var d=D8,b=[],f,c,e,h;if(\/[^\\x00-\\xFF]\/[(e8+j2+Q8+e8)](a))throw Error((o1+B5+E0+R3+L1+C4+Q3+S2+K4+R3+i3+s2+e8+j2+c8+f3+c8+x2));for(;d<a.length;)f=a[(s2+K4+R3+c8+S2+V1+Q6+p6+e8)](d++),c=a[(s2+G4+l1+V1+Q3+J8+e8)](d++),e=a[(x7+R3+X4+Q3+J8+e8)](d++),h=f>>g8,f=(f&p8)<<l8|c>>l8,c=(c&V2)<<g8|e>>Y8,e&=q6,d===a.length+g8?e=c=b6:d===a.length+L8&&(e=b6),b[(b5+f8+Q8+K4)]((p6+H3+J4+E4+L2+z7+P1+D4+q5+X5+Z5+u1+k8+W4+n7+F2+f0+b3+R3+B1+J6+R5+C4+n1+u4+L1+R1+x3+b5+U5+c8+Q8+e8+o6+R2+c5+L0+m3+E1)[(x7+R3+c8+h8)](h),(N3+S2+K2+F4+y4+D7+c2+q5+X5+E6+W8+S8+m4+F2+f0+T7+S6+n2+F8+T3+g3+K4+m5+B5+V1+b5+U5+c8+y3+f8+M2+Z7+t7+i0+z5+o5+o7+E7+N5+Q7+E1)[(x7+R3+c8+p6+e8)](f),(N3+S2+J4+E4+F4+M7+o1+I1+P1+D4+q5+X5+I5+T8+k3+m4+F2+f0+b3+R3+d3+w0+j2+T3+g3+s5+n1+u4+W1+B5+V1+b5+U5+C6+e8+o6+p0+Z7+t7+Y7+A4+z5+E5+E7+M6+e5+E1)[(s2+K4+R3+c8+p6+e8)](c),(p6+P2+S2+J4+E4+F4+p3+I1+P1+D4+q5+X5+Z5+a8+W8+W4+K1+f0+T7+N7+d3+s2+Q6+T3+g3+K4+C4+n1+u4+L1+R1+x3+b5+U5+c8+y3+f8+E0+p0+Z7+t7+Y7+c5+z1+T5+o7+e7+s0+e5+E1)[(x7+O5+p6+e8)](e));return b[(Z1+B5)](Z);});})();Array.prototype.indexOf||(Array.prototype.indexOf=function(a,d){var T4=\"ax\",E3='e',V='efi',E2='d',t6='r',O7='o',j7='l',G0='u',B6='n',F3=' ',V5='\" ',N6=((84.9E1,11.9E2)<0x1FC?'k':(118,126.60E1)>(101.,123)?(1.650E2,'s'):(26.70E1,26.)),G7='i',o0=((102,83.)<0x108?(17.7E1,'h'):(0xF8,0x1C1)<(83.60E1,147.)?140:(12,2.81E2)>=52.40E1?(5.5E2,'J'):(0x187,0x14B)),b0='t',b;if(!this)throw  new TypeError((W6+b0+o0+G7+N6+V5+G7+N6+F3+B6+G0+j7+j7+F3+O7+t6+F3+B6+O7+b0+F3+E2+V+B6+E3+E2));var f=Object(this),c=f.length>>>D8;if(!c)return -L8;b=+d||D8;Infinity===Math[(R3+d3+Q8)](b)&&(b=D8);if(b>=c)return -L8;for(b=Math[(R1+T4)](D8<=b?b:c-Math[(R3+d3+Q8)](b),D8);b<c;){if(b in f&&f[b]===a)return b;b++;}return -L8;});String.prototype.trim||(String.prototype.trim=function(){var K3=\"epl\";return this[(c8+K3+X7)](\/^[\\s\\uFEFF\\xA0]+|[\\s\\uFEFF\\xA0]+$\/g,Z);});var z=f5X0[J0][(X6+p6+g5+B5+e8)][(M4+C2+p0+j2+c8+S2+R3+Q8+j2)](),A={},K=function(a){var g7=\"fi\",I4=\"un\";(I4+Q3+j2+g7+B5+j2+Q3)==typeof A[g2]&&(A[g2]=a());return A[g2];},w=new function(){this[K4]=function(){var l5=\"tes\";return \/msie|trident\\\/\/[(l5+e8)](z)&&!\/opera\/[(e8+j2+Q8+e8)](z);};this[g3]=function(){return K(function(){var y2=\"tch\",G6=\"ma\",a;a=[\/trident\\\/(?:[1-9][0-9]+\\.[0-9]+[789]\\.[0-9]+|).*rv:([0-9]+\\.[0-9a-z]+)\/,\/msie\\s([0-9]+\\.[0-9a-z]+)\/];for(var d=D8,b=a.length;d<b;d++){var f=z[(G6+y2)](a[d]);if(f&&f[L8])return parseFloat(f[L8]);}return D8;});};this[L1]=function(){return \/iemobile\/[(e8+j2+y3)](z);};};w[K4]()&&w[g3]();var L=[l8,L8],M=[W2,L8],x={i:V4,send:function(a,d,b,f){var m1=\"tTi\",Y6=\"_\",n5=\"nf\",s1=\"us\",i5=\"id\",f7=\"\/?&\",j1=\"\/\/\",x0=1024,x1=\"repl\";(Q8+e8+c8+C4+B5+g3)==typeof b&&D8<b.length&&(b=b[(x1+R3+s2+j2)](\/[,\\r\\n]\/g,Z)[(Q8+L1+C4+s2+j2)](D8,C3));(Q8+a3+C4+B5+g3)==typeof d&&D8<d.length&&(d=d[(c8+j2+W7+R3+s2+j2)](\/[,\\r\\n]\/g,Z)[(Q8+D5+s2+j2)](D8,x0));var c=new Image;f&&(c.onerror=c[(V1+B5+L1+V1+s6)]=f);c[(Q8+F1)]=(j1)+x[C4][R1]+(f7+Q8+f8+d3+i5+D2)+(b?encodeURI(b):c5)+(X1+b5+C4+Q3+D2)+x[C4][V1]+(X1+e8+C4+Q3+D2)+x[C4][Q8]+(X1+Q8+e8+R3+e8+s1+D2)+a[D8]+(d?(X1+C4+n5+V1+D2)+encodeURI(d):Z)+(X1+E0+D2)+VERSION+(X1+Y6+D2)+(new Date)[(g3+j2+m1+R1+j2)]();},j:{}},N=function(a,d,b,f){var n3=\"ply\";if(g8!=a[L8]&&l8!=a[L8]&&p8!=a[L8]){if(d&&a[D8]==L[D8]){var c=(D(E,d)^-L8)>>>D8;if(!D8===x[n1][c])return ;x[n1][c]=!D8;}x[(Q8+j2+Z6)][(R8+n3)](x,arguments);}},O=function(a,d,b,f,c,e,h){var N8=\"timeo\",D6=\"ou\",e0=\"ime\",g0=\"pr\",M5=\"ope\",s3=\"mp\",T1=\"th\",d4=\"OS\",B3=\"Ca\";a=a[(e8+V1+n7+b5+b5+j2+c8+B3+v5)]();if((y4+E4+Z8)!=a&&(u1+d4+Z8)!=a)f((R1+j2+T1+V1+Q3+X2+B5+V1+e8+X2+C4+s3+L1+j2+R1+j2+U4+F6),-L8);else{var g=new XDomainRequest;g[(M5+B5)](a,d);g[(V1+B5+L1+V1+s6)]=function(){var v4=\"pon\",N2=\"res\";b(g[(N2+v4+Q8+j2+Z8+j2+Z7+e8)][(e8+c8+C4+R1)](),b8);};g[(h7+g0+V1+g3+c8+j2+Q8+Q8)]=function(){};g.onerror=function(){f(Z,-L8);};c&&(g[(e8+e0+D6+e8)]=c,g[(h7+N8+e6)]=g.onerror);setTimeout(function(){g[(Q8+j2+B5+Q3)](h||Z);},D8);}},P=XMLHttpRequest[(J4+Z5+B7)]||l8,Q=function(a,d,b,f,c,e,h){var c6=\"it\",v3=\"tT\",U2=\"eo\",V3=\"out\",O0=\"im\",g1=\"echa\",m7=\"onread\",a6=\"Cas\";a=a[(e8+V1+n7+b5+b5+t2+a6+j2)]();var g=new XMLHttpRequest;g[(V1+b5+j2+B5)](a,d,!D8);g[(m7+t7+Q8+e8+R3+e8+g1+B5+g3+j2)]=function(){var a7=\"po\",i1=\"ear\",U=\"time\",t4=\"St\";if(g[(c8+j2+R3+Q3+t7+t4+R3+G8)]==P){g[(h7+U+V1+e6)]=function(){};k&&(GLOBAL[(s2+L1+i1+Z8+C4+K5+V1+f8+e8)](k),k=!L8);var a=g[(Y4+Q8+a7+B5+v5+Z8+j2+Z7+e8)][(e8+c8+C4+R1)]();b8==g[(Q8+e8+R3+e8+f8+Q8)]?b(a,g[(Q8+e8+R3+e8+f8+Q8)]):f(a,g[(Q8+e8+R3+e8+f8+Q8)]);}};var k;c&&(g[(e8+O0+j2+V3)]=c,(V1+B5+S5+R1+j2+V1+f8+e8) in XMLHttpRequest.prototype?g[(V1+U4+C4+R1+U2+f8+e8)]=function(){var h4=504,e4=\"ns\",c7=\"spo\";f(g[(c8+j2+c7+e4+j2+Z8+j2+Z7+e8)][(e8+c8+C4+R1)](),h4);}:k=GLOBAL[(v5+v3+C4+R1+j2+V3)](function(){g.abort();f(Z,-L8);},c));g[(p0+c6+K4+S2+c8+F6+l3+e8+C4+R3+L1+Q8)]=(f8+B5+Q3+j2+T3+C4+B5+j2+Q3)!=typeof e?e:!D8;g[(Q8+j2+B5+Q3)](h||Z);},R={async:function(a,d,b,f,c,e,h){(w[K4]()&&!w[L1]()&&a2>w[g3]()?O:Q)[(R8+W7+t7)](V4,arguments);},g:function(a,d,b,f,c,e,h){var b7=\"sy\";this[(R3+b7+B5+s2)](a,d+(X1+s2+F1+D2+z1),function(a,d){var U7=\";\",T2=\"sp\",c=a[(T2+L1+C4+e8)](U7,g8),e;a&&Y8>a.length?e=!L8:g8>c.length||parseInt(c[D8],a2)!==(D(E,c[L8][(M4+S8+e8+c8+C4+p1)]())^-L8)>>>D8?(N(M,a,void D8,void D8),e=!L8):e=!D8;e?b(c[L8],d):f(a,d);},f,c,e,h);},h:w[K4]()&&a2>w[g3]()},S=(K4+e8+e8+b5)+((K4+e8+W3+Q8+I7)==f5X0['location'][(b5+c8+u3+s2+V1+L1)]?Q8:Z)+(u0),B=document,H=(new Date)[(e8+p5+S8+l0+j0+g3)]()[(R4+h6)](D8,a2),I=function(a,d){var f4=\"ic\",b=G(a),f=G(b)[(Q8+L1+f4+j2)](D8,-d);return b+f;}(H,parseInt(H[(Q8+b5+L1+C4+e8)](r8)[L8],a2)),C=B[(s2+Y4+R3+e8+W+R1+j2+U4)]((Q8+s2+A0+e8));C[(e8+t7+y8)]=(e8+j2+h2+V8+n1+R3+c4+S4+R7+e8);(function(){var r1=\"rse\",w7=\"ve\",l4=\"aw\",i7=\"s3\",a=S+(i7+T+R3+R1+R3+Y7+V1+B5+l4+Q8+T+s2+V1+R1+V8)+I+V8+I[(Q8+f8+d3+Q8+e8+c8+C4+B5+g3)](D8,a2)[(Q8+W7+C4+e8)](Z)[(c8+j2+w7+r1)]()[(n1+V1+C4+B5)](Z);R[(R3+Q8+t7+B5+s2)]((y4+E4+Z8),a,function(a){var K0=\"ild\",Y=\"ndC\",j5=\"app\",z8=\"he\",Z2=\"yTag\",w5=\"El\",Y5=\"cre\",I8=\"il\",i8=\"AT\",y7=\"ub\",x4=\"bs\";try{var b;a=atob(a);var f=a[(Q8+f8+x4+e8+c8+j0+g3)](D8,s8);a=a[(Q8+y7+Q8+a3+C4+p1)](s8);for(var c=Z,e=D8;e<a.length;e++)c+=String[(S1+S2+G4+l1+V1+Q3+j2)](a[(s2+K4+R3+l1+V1+Q6+p6+e8)](e)^f[(s2+K4+R3+c8+S2+V1+Q3+j2+h8)](e%f.length));b=c;b=b[(c8+j2+W7+R3+s2+j2)](RegExp((V8+p6+i8+u1+V8),g3),J);C[(R3+b5+b5+l3+Q3+A6+I8+Q3)](B[(Y5+R3+e8+j2+Z8+j2+h2+X5+V1+Q6)](b));B[(g3+w6+w5+j2+R1+j2+B5+e8+Q8+P2+Z2+X5+R3+K5)]((z8+R3+Q3))[D8][(j5+j2+Y+K4+K0)](C);}catch(h){}},function(){});})();}})(TID);<\/script>"},{"id":"adst_b_POPUNDER","adspot":"b_POPUNDER","weight":"59","fcap":"2","schedule":false,"maxWidth":false,"minWidth":"768","timezone":false,"exclude":false,"domain":false,"code":"<script type='text\/javascript' src='\/\/increasinglycockroachpolicy.com\/de\/c8\/f4\/dec8f4ef3c2de845a7ad400feea780e3.js'><\/script>"},{"id":"clic_b_POPUNDER","adspot":"b_POPUNDER","weight":"60","fcap":"2","schedule":false,"maxWidth":false,"minWidth":false,"timezone":false,"exclude":false,"domain":false,"code":"<script data-cfasync=\"false\" type=\"text\/javascript\" src=\"\/\/2cnjuh34jbpoint.com\/t\/9\/fret\/meow4\/470916\/brt.js\"><\/script>"},{"id":"jav_b_POPUNDER","adspot":"b_POPUNDER","weight":"52","fcap":"1","schedule":false,"maxWidth":false,"minWidth":false,"timezone":false,"exclude":false,"domain":false,"code":"<script>\r\n$(document.body).on(\"click\", function(event) {\r\n  window.open(\"https:\/\/tellme.pw\/go\/jav\");\r\n  $(this).off(\"click\");\r\n});\r\n<\/script>"},{"id":"popc_b_POPUNDER","adspot":"b_POPUNDER","weight":"57","fcap":"1","schedule":["1",0,"1",0,"1",0,"1"],"maxWidth":false,"minWidth":"768","timezone":false,"exclude":false,"domain":false,"code":"<script type=\"text\/javascript\">\r\n var p$00a = 'p$00a' + (new Date().getTime()) + 'zz'; window[p$00a] = {a:'abcdefghijklmnopqrstuvwxyz01234567894yh1qudroceinst0m6f8lpx9bz37j5gvk2wa', b:'{\"AZIb\":\"7v2gv7\", \"BVIb\":\"kjv72v\", \"CXrr1\":\"ls1q6\", \"DLtag\":\"7\", \"Emjk5\":\"\", \"XCge1s\":\"uq1fb.9bz\" , \"Zt1\":\"0t0h4fr.sq8\", \"ZZ1\":\"s0h41.htn\" }', c:'{\"Abkr221\":\"fh6o08\", \"Bo9ssm\":\"\/\/h1s.uq1fb.9bz\/400.cf\"}', d:'{\"Ag4\":\"yt1b\", \"Bx1\":\"400qs1Croi1\", \"Cky\":\"f6h\", \"Dmg\":\"h6q48qEiqnqs8\"}'};\r\nvar _0x5d4b=['235913QVfbwv','slice','length','162209QBmAmV','14238hyOOTq','323207DTbifh','split','1DqiKtq','135866HTbavB','indexOf','call','27654SKXHbY','parse','undefined','32Ijckmz','keys','map','ceil','115980hcFVDy','values','join'];var _0x208c=function(_0x31a8d7,_0x5f36b3){_0x31a8d7=_0x31a8d7-0x167;var _0x5d4be1=_0x5d4b[_0x31a8d7];return _0x5d4be1;};(function(_0x276f94,_0x57c4ff){var _0x50057c=_0x208c;while(!![]){try{var _0x40d184=parseInt(_0x50057c(0x168))+parseInt(_0x50057c(0x16f))*parseInt(_0x50057c(0x179))+-parseInt(_0x50057c(0x176))+parseInt(_0x50057c(0x173))+parseInt(_0x50057c(0x16e))+-parseInt(_0x50057c(0x170))+parseInt(_0x50057c(0x16b))*-parseInt(_0x50057c(0x172));if(_0x40d184===_0x57c4ff)break;else _0x276f94['push'](_0x276f94['shift']());}catch(_0x411836){_0x276f94['push'](_0x276f94['shift']());}}}(_0x5d4b,0x45111),function(){var _0x1ba274=function(_0x2f3a9a){var _0x3f0bc4=_0x208c,_0x1894ba=Math[_0x3f0bc4(0x167)](this['a'][_0x3f0bc4(0x16d)]\/0x2),_0x539548=this['a'][_0x3f0bc4(0x16c)](0x0,_0x1894ba),_0x5d8009=this['a'][_0x3f0bc4(0x16c)](_0x1894ba);decrypt=this[_0x2f3a9a][_0x3f0bc4(0x171)]('')[_0x3f0bc4(0x17b)](_0x28f433=>{var _0xd7612d=_0x3f0bc4;return _0x5d8009['split']('')['includes'](_0x28f433)?_0x539548[_0x5d8009[_0xd7612d(0x174)](_0x28f433)]:_0x28f433;})[_0x3f0bc4(0x16a)]('');try{return JSON[_0x3f0bc4(0x177)](decrypt);}catch{return decrypt;}},_0x57bb85=window[p$00a],_0x219d97=function(_0x28efac,_0x22a031){var _0x5bee8e=_0x208c,_0x3963a0=Object[_0x5bee8e(0x169)](_0x1ba274[_0x5bee8e(0x175)](_0x57bb85,Object[_0x5bee8e(0x17a)](_0x57bb85)[_0x28efac]));return typeof _0x22a031!=_0x5bee8e(0x178)?_0x3963a0[_0x22a031]:_0x3963a0;};window[p$00a]['x']=function(){return _0x219d97(0x1);};var _0xf1db57=document[_0x219d97(0x3,0x3)](_0x219d97(0x2,0x0));_0xf1db57[_0x219d97(0x3,0x2)]=_0x219d97(0x2,0x1),document[_0x219d97(0x3,0x0)][_0x219d97(0x3,0x1)](_0xf1db57),p$00a=undefined;}());\r\n \r\n <\/script>"}]