is petersen graph eulerian

No! It gives them good TV. What a bully. You don't want to put that on your child. Answer the following questions related to Petersen graph. That is, it is a unit distance graph.. endobj /Parent 2 0 R endstream /F3 30 0 R Find out what your cat is trying to tell you with a new cat app, Princess Diana died when Harry was just 12 years old, Engineer Creates App To Translate Your Cat, The Sweetest Photos of Princes Harry with Diana, Sean Connery's Cause of Death Revealed Weeks After He Dies at Age 90. Eulerian Cycle: An undirected graph has Eulerian cycle if following two conditions are true. q8n`}] >> /F0 28 0 R endobj /Kids [5 0 R 6 0 R 7 0 R] I don't even want to tell you! If you are finding it hard to stop smoking, QuitNow! Suppose a planar graph has two components. Now let's try to find a graph $\textbf{H}$ that is not eulerian. To generate the vertex and edge shadows in this diagram we have used the shadows library from TikZ. Court Records found View. /MediaBox [0 0 416 641] This cookie is set by GDPR Cookie Consent plugin. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Like, duh. Euler proved the necessity part and the sufciency part was proved by Hierholzer [115]. It is the smallest bridgeless cubic graph with no Hamiltonian cycle. 3.2.8 into two 2-factors, using the method of proof of Theorem 3.1.4. /Thumb 105 0 R /im14 308 0 R >> It happened again on the most recent episode of Survivor: Cagayan, when Lindsey Ogle became the most recent contestant to quit the game. /Resources << /Resources << I'm at peace with it. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), Android App Development with Kotlin(Live), Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Introduction to Graphs Data Structure and Algorithm Tutorials, Applications, Advantages and Disadvantages of Graph, Detect Cycle in a directed graph using colors, Detect a negative cycle in a Graph | (Bellman Ford), Cycles of length n in an undirected and connected graph, Detecting negative cycle using Floyd Warshall, Dijkstras Shortest Path Algorithm | Greedy Algo-7, Johnsons algorithm for All-pairs shortest paths, Karps minimum mean (or average) weight cycle algorithm, 0-1 BFS (Shortest Path in a Binary Weight Graph), Find minimum weight cycle in an undirected graph, Kruskals Minimum Spanning Tree Algorithm | Greedy Algo-2, Difference between Prims and Kruskals algorithm for MST, Applications of Minimum Spanning Tree Problem, Total number of Spanning Trees in a Graph, Reverse Delete Algorithm for Minimum Spanning Tree, All Topological Sorts of a Directed Acyclic Graph, Maximum edges that can be added to DAG so that it remains DAG, Topological Sort of a graph using departure time of vertex, Articulation Points (or Cut Vertices) in a Graph, Eulerian path and circuit for undirected graph, Fleurys Algorithm for printing Eulerian Path or Circuit, Count all possible walks from a source to a destination with exactly k edges, Word Ladder (Length of shortest chain to reach a target word), Find if an array of strings can be chained to form a circle | Set 1, Tarjans Algorithm to find Strongly Connected Components, Paths to travel each nodes using each edge (Seven Bridges of Knigsberg), Dynamic Connectivity | Set 1 (Incremental), Ford-Fulkerson Algorithm for Maximum Flow Problem, Find maximum number of edge disjoint paths between two vertices, Introduction and implementation of Kargers algorithm for Minimum Cut, Find size of the largest region in Boolean Matrix, Graph Coloring | Set 1 (Introduction and Applications), Traveling Salesman Problem (TSP) Implementation, Introduction and Approximate Solution for Vertex Cover Problem, Erdos Renyl Model (for generating Random Graphs), Chinese Postman or Route Inspection | Set 1 (introduction), Hierholzers Algorithm for directed graph, Boggle (Find all possible words in a board of characters) | Set 1, HopcroftKarp Algorithm for Maximum Matching | Set 1 (Introduction), Construct a graph from given degrees of all vertices, Determine whether a universal sink exists in a directed graph, Two Clique Problem (Check if Graph can be divided in two Cliques). /CropBox [0 1.44 414.84 642] How to find whether a given graph is Eulerian or not? Eulerian,Hamiltonian and Complete Algebraic Graphs /im11 305 0 R J'Tia Taylor And you totally quit! And let me tell you, for the record, never would I have ever quit if it was just solely on me. >> /Length 736 Euler's formula ( v e + f = 2) holds for all connected planar graphs. DM-lecture15 /CreationDate (D:20031119174732+07'00') Petersen graphs But I had to take it and learn some lessons from it. Therefore, Petersen graph is non-hamiltonian. /S /GoTo Therefore, Petersen graph is non-hamiltonian. /Contents [117 0 R 118 0 R 119 0 R 120 0 R 121 0 R 122 0 R 123 0 R 124 0 R 125 0 R 126 0 R Petersen graphs are a type of graph that are often used to explore patterns in data. 12 0 obj b) How many edges are there in Petersen graph? 4, p. 308. Continuous twists surprise the player. Now Johnathon and I will actually be kind of competing for ratings! ), A graph $\textbf{G}= (V,E)$ is said to be hamiltonian if there exists a sequence $(x_1,x_2,,x_n)$ so that. 10 0 obj Lindsey Ogle Age: 29 Tribe: Brawn Current Residence: Kokomo, Ind. (1.5) Let G be a cubic 2-edge-connected graph not containing the Petersen graph. Lindsey in the opening. If there is no such integer, since there are edges that have not yet been traversed, then we have discovered that the graph is disconnected. /Type /Page . Here is the sequence of circuits starting with the trivial circuit $C$ consisting only of the vertex 1. Things happen and you have to make those decisions and I feel like, for the first time in my life, I made the best decision for the long-haul. /ProcSet [/PDF /Text /ImageB] endobj Run the code below. So I have watched ungodly amounts of Survivor in the past year. /XObject 202 0 R Prove that Petersen's graph is non-planar using Euler's In Eulerian path, each time we visit a vertex v, we walk through two unvisited edges with one end point as v. Therefore, all middle vertices in Eulerian Path must have even degree. is_eulerian NetworkX 3.0 documentation /F0 28 0 R How combinatory and graph theory are related each other? I was worried that I would get into a physical confrontation with her, says Ogle, 29. /Contents [170 0 R 171 0 R 172 0 R 173 0 R 174 0 R 175 0 R 176 0 R 177 0 R 178 0 R 179 0 R The Petersen Graph I compare it to when a kid is beaten up on a playground, and theres a nerdy one who comes up and kicks sand in his face. 1. a 16 The following graph is called Petersen graph, it is named after Danish mathematician Julius Petersen. /Im19 313 0 R Now let $t$ be the largest integer for which $\textbf{G}$ has a path $P=(x_1,x_2,,x_t)$ on $t$ vertices. Its addictive. At what point does the conversation turn to, Get Jeff Probst.. How can I stop being frustrated while reading? I like him a lot. These islands were connected to the mainland by seven bridges as indicated in Figure 5.12. A Kuratowski's Theorem - GitHub Pages /Contents [33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R 39 0 R 40 0 R 41 0 R 42 0 R] I think that if anybody had the opportunity that I do, if you didn't win, at least use it for good. Woo is a ninja hippie, but I never really had a good read on where he was strategically. The first graph shown in Figure 5.16 both eulerian and hamiltonian. /Thumb 201 0 R With the Brawny tribe, the personalities are strong. >> endobj Webnon-Hamiltonian cubic generalized Petersen graphs other than those found by Robertson. /Resources << /ProcSet [/PDF /Text /ImageB] WebAn Euler circuit in a graph is a circuit which includes each edge exactly once. There is an Euler path in a connected graph if and only if the number of vertices of odd degree is 0 or 2. /Type /Page Also to keep in mind: Your final version of your project is due Tuesday, November 24. /F0 28 0 R This result is obtained by applying >> 6 What is the definition of graph according to graph theory? By contracting edges (1, 6), (2, 7), (3, 8), (4, 9) and (5, 10) we can obtain a K 5 minor. /Encoding /WinAnsiEncoding Any 3-edge-connected graph with at most 10 edge cuts of size 3 either has a spanning closed trail or it is contractible to the Petersen graph. << It's Survivor. You never know what's gonna happen. 8a#'Wf1` Q[ M2/+3#|2l'-RjL37:Ka>agC%&F1q -)>9?x#$s65=9sQX] 0b But I think that Trish had a little camera courage and I was trying to dig it, but I still think that I was a little bit in shock with Cliff. Check whether an undirected graph is Eulerian Donald Knuth states that the Petersen graph is a remarkable configuration that serves as a counterexample to many optimistic predictions about what might be true for graphs in general. The Petersen graph also makes an appearance in tropical geometry. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Zapisz moje dane, adres e-mail i witryn w przegldarce aby wypeni dane podczas pisania kolejnych komentarzy. /Thumb 272 0 R /Thumb 43 0 R /Contents [46 0 R 47 0 R 48 0 R 49 0 R 50 0 R 51 0 R 52 0 R 53 0 R] /Font << >> The clique number c(G) of G is the size of the largest clique of G. The Petersen graph has a clique number of 2. Hn1wcQ3qKPlSHMBn^5Q%o*sU@+>r C+Fi; a!Scl^As /IC-=w2;%cB There's people that you really like. stream I'm kidding! /Font << A clique of a graph G is a subset S of its nodes such that the subgraph corresponding to it is complete. endobj << stream If it would have went the other way, I would have been kicked out anyway, you know? >> If we take an edge to a Hamiltonian graph the result is still Hamiltonian, and the complete graphs Kn K n are Hamiltonian. Does A Petersen Graph Only Have Cycles Of Length Stop talking to me. But I think that she got a little camera courage. 556 556 556 333 500 278 556 500 722 500 /XObject 253 0 R Of course I knew that I was a mother. << 20 0 obj /Thumb 262 0 R 7 0 obj /XObject 65 0 R stream If there hadnt been cameras there, I dont think she would have gotten so vicious. /F0 28 0 R /F0 28 0 R In fact, we can find it in O(V+E) time. Graph Crossing Number of a Graph 3 Eulerian and Hamiltonian algebraic graphs. WebS VH, or G can be contracted to the Petersen graph in such a way that the preimage of each vertex of the Petersen graph contains at least one vertex in S. a vertex subset such that jSj 23. RpUMW A2BAG }wDa!;vp6 %?O9gP66l Gnpj[#J&`(s,?w62z:9: LHlDXl f0{_ %^_. >> << He's one of those guys you can drink a beer with and he'd tell you what's up. /Type /Page I decided I would keep my mouth shut and lay low, and she just started going off on me. /ProcSet [/PDF /Text /ImageB] They pick very colorful personalities to participate in the game and there's gotta be something very special about her or they wouldn't have put her out there. /Producer (Acrobat 4.0 Import Plug-in for Windows ) Planar Graphs GRAPHS In Petersen, that would be 10+F-15 = 2, so it would have 7 faces in it's planar embedding. Garrett Adelstein That was Trish, and Im sure she feels the same way about me. Lindsey: I don't know! endobj /FontDescriptor 294 0 R /Thumb 85 0 R 34 0 obj /Resources << is petersen graph eulerian - digimindtechnologies.com GByR`f'lIBE{I{L"8!/nHb,Dh c"p1r8V( ;2LOR73(9oWVg,WFe HCV#xO5Ne|M=651c.F;R&F` vertices with zero degree) are not considered to have Eulerian circuits. &b5m+Y$#Zg;C&$wU2/)w=/gdUYo}r"$r%0 ,,My0a Lindsey Ogle. 35 0 obj She is licensed to practice by the state board in Illinois (209.012600). Note that only one vertex with odd degree is not possible in an undirected graph (sum of all degrees is always even in an undirected graph). 9 0 obj I sent in a video behind his back! Hobbies: Camping, recycled art projects and planning parties. Was quitting on your mind? /MediaBox [0 0 416 641] /Subtype /Type1 xo, Lindsey And I wasn't gonna risk being that person. >> /MediaBox [0 0 416 641] However, you may visit "Cookie Settings" to provide a controlled consent. /Type /Pages endobj H2. Because I didn't win the million dollars, I've made it a point that I want to do some stuff around my community to empower women and to encourage them to be outside and to exercise and to push themselves. 556 278 556 556 222 222 500 222 833 556 /Font << Edit. /Font << 31 . endobj At the top, click Responses. Such is the case A graph is Eulerian if every vertex has even degree. 2,628 likes. /Parent 7 0 R Graph WebPetersen graph has six perfect matchings such that every edge is contained in precisely two of these perfect matchings. /Encoding /WinAnsiEncoding He quickly needs to throw away the evidences. vertex is even. But it definitely fired me up. I don't like her and she's mean to everybody, but that's not me at all. /Rotate 0 I'm like, You need to back away from me and give me a minute. It's like when you're on the playground, you know, one of those who beats up a little kid when they just got their ass beat by somebody else and she's kicking them in the face like, Yeah! Let's talk about the individual parts of what went down. /Font << Is there a decomposition into this number of trails using only paths? >> /Thumb 293 0 R WebThe Petersen graph is an undirected . mdy) I will be co-hosting the morning show at our sister station, WCIC in Peoria, IL, my hometown. This is the famous Petersen graph which is a connected, undirected graph with 10 vertices and 15 edges. His methods involve working directly with G (n, k) and interchanging You could tell by the numbers. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. >> She got right in my face and started rubbing my face in it. the operation leaves a graph with no crossings, i.e., a planar graph. If $u_0 \ neq u_s, then \(u_0$ and $u_s$ are vertices of odd degree in $\textbf{G}$. How did you react when it was happening?My hands started shaking. /Contents [203 0 R 204 0 R 205 0 R 206 0 R 207 0 R 208 0 R 209 0 R 210 0 R 211 0 R 212 0 R WebThe Petersen graph is non-hamiltonian. << WebEulers equation relating the number of vertices V, edges E and faces F of a connected planar graph is V E + F = 2. Try Numerade free for 7 days Jump To Question Answer n o See endobj This is what distinguishes Fahrenheit. Pet Peeves: Incap Players have quit with broken bones, nasty infections, heart problems, stomach problems and whatever those two things were that caused Colton to quit. /F0 28 0 R The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. /Parent 5 0 R Recall that a spanning tree consists of all the vertices of a graph, so by definition there is no such spanning tree if the graph is disconnected. Click Individual. that any hamiltonian digraph must be strongly connected; any hamiltonian undi- rected graph must contains no cut-vertex. /XObject 106 0 R In turn, this requires \(n/2> 584 584 556 1015 667 667 722 722 667 611 /ProcSet [/PDF /Text /ImageB] possible to prove that Petersen's graph endobj /Rotate 0 endstream 9-5. Therefore, Petersen graph is non-hamiltonian. Of course, the best known permutation graph is the Petersen graph and, as those authors indicate, the very concept was studied as a generalization of this graph. /XObject 263 0 R /BaseFont /Helvetica-Bold /CropBox [0 6.48 414.48 647] << /Type /Page 24 0 obj We were like bulls. /Contents [192 0 R 193 0 R 194 0 R 195 0 R 196 0 R 197 0 R 198 0 R 199 0 R 200 0 R] Am I upset that some insignificant person got me to that point? WebTheorem 1.8.1: (Euler Formula) For a connected planar graph G = (V, E) with n vertices, m edges and f faces, n - m + f = 2. What was the teachable moment? 750 750 750 750 222 222 333 333 350 556 In this paper, we prove that any 3-edge-connected graph with at most 11 edge-cuts of size 3 is supereulerian if and only if it cannot be contractible to the Petersen graph. /CropBox [0 2.16 414.39999 643] WebShow that the Petersen graph is a minor of the graph from Midterm Practice Problem P2. /MediaBox [0 0 418 643] But if $y$ is any vertex not on the cycle, then $y$ must have a neighbor on $C$, which implies that $\textbf{G}$ has a path on $t+1$ vertices. In particular the generalized Petersen graphs, P(n, 2), are globally 3*-connected if and only if n 1, 3 (mod 6). Were you much of a fan of Survivor before you went on the show?I actually tried out for The Amazing Race with my fianc at the time. endobj 1 0 obj We then choose the least integer $i$ for which there is an edge incident with $x_i$ that has not already been traversed. /im17 311 0 R /Resources << What if a graph is not connected? is made for you. Eulerian Path is a path in a graph that visits every edge exactly once. /MediaBox [0 0 417 642] The output that will be produced is a list of the degrees of the vertices of the graph $\textbf{G}$followed by a drawing of $\textbf{G}$. 8 Prove that the Petersen graph (below) is not planar. 2 What is the chromatic number of the given graph? It would have been like playing against the Little Rascals with Cliff. Rob also speaks with Lindsey Ogle about quitting the game on this weeks episode of Survivor Cagayan. We can use these properties to find whether a graph is Eulerian or not. Lets see who winshaha. /CropBox [0 1.44 414.84 642] Unlike the situation with eulerian circuits, there is no known method for quickly determining whether a graph is hamiltonian. Lindsey and Sarah at Aparri camp. 8}TrQ?UQdr@0Eu&D~]GLv.|lYT-[}?fP-- l 1 Graph Basics A positive movement and true leader. I like interesting games, breaking with the mainstream. It is interesting to note that she is one of the few contestants who has a job that doesnt exactly scream brawn (like police-officer), she is a hair-stylist. 1000 333 1000 500 333 944 750 750 667 278 /FirstChar 31 Search the world's information, including webpages, images, videos and more. (EDIT: Im an idiot. /OpenAction 3 0 R 1.8 Eulerian Graphs - USTC Webgraph has components K1;K2;::: ;Kr. It is not hamiltonian. /Rotate 0 Eulerian and Hamiltonian Graphs Lindsey Ogle is an amazing hairstylist from Kokomo, IN chosen to be on season 28 of Survivor, Cagayan. I was shocked about it and that probably added to that adrenaline and everything that was going on. Important: Use the initial matching (a,4); (c,6); (e,2); (h,5) . Jeff Probst hailed this as a strange sort of Survivor first. People may say that its a cop-out, that I blamed it on my daughter, but thats the most ridiculous thing I have ever heard. << Petersen graphs are named after their creator, Kenneth Petersen, who first /MediaBox [0 0 426 647] The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. I just felt overwhelmed. /F0 28 0 R /Encoding /WinAnsiEncoding /CropBox [0 2.16 414.39999 643] Problem 2 What is the minimum number of trails needed to decompose the Petersen graph? Run the code below. endobj Bondy [2] proved that G (n, 3) is Hamiltonian for n = 4 and all n >/6. Graphs /XObject 76 0 R I'm just gonna separate myself. And you could see it on there. /Parent 5 0 R Supereulerian graphs and the Petersen graph So for Petersen, 10 15 + F = 2 and so F = 7. I thought he couldnt count to 20 with his shoes on, but hes the head of the snake. Someone's about to get it! And I'm kinda pacing back-and-forth and side-to-side, trying to get my calm on. /Parent 7 0 R stream Petersen The Petersen graph occupies an important position in the development of several areas of modern graph theory because it often appears as a counter-example to important conjectures. A graph consists of some points and lines between them. /Type /Page Even though I could have stayed, I knew there was some stuff that was about to come. /Rotate 0 2 Standard Graphs Null graph the (unique) graph with no vertices or edges. An Euler circuit always starts and ends at the same vertex. Even so, lots of people keep smoking. Let $\textbf{G}$ be a graph without isolated vertices. All my love to you. Why is the Petersen graph important? YourQuickInfo (a) (b) (c) Figure 2: A graph containing an Euler circuit (a), one containing an Euler path (b) and a non-Eulerian graph (c) 1.4. >> WebEuler's Planar Formula Proof Idea : Add edges one by one, so that in each step, the subgraph is always connected Show that the Petersen graph is non-planar. Lindsey Ogle is a resident of DE. We're good. WebWe know the Petersen graph has 15 edges and 10 vertices. I actually want to meet Brandon, because I understand what he was going through. But you're tired, you're cold, you're wet, you're hungry. In the first of this week's two exit interviews, Lindsey talks a lot about her decision to quit, her thoughts on Trish and whether or not Solana got better without her. >> I have a seven-year-old kid now. Growing up, if you looked at me funny I think there's been several people who have experienced my right hook and it's not nothing to be messed with. I knew that it was the right decision because of my reaction so much later on. % >> There's people who you don't like. Are you trying to quit smoking? Eulerian and Hamiltonian Paths 500 556 556 556 556 278 278 278 278 556 Figure 5.17. HV=s0F[n2fQdf+K>2 <5.3 Hamilton Cycles and Paths - Whitman College However she says in her video that she is brawny and can get ripped quite quickly. What if it has k components? Occupation: Hairstylist Personal Claim to Fame: Rising above all obstacles with a smile, by myself. WebAn Eulerian trail is a path that visits every edge in a graph exactly once. Euler >> endobj /Resources << But putting yourself out there? Take my word for it, she said some truly terrible things. /BaseFont /Helvetica One thing you probably noticed in running this second block of code is that it tended to come back much faster than the first. WebThe Petersen graph can also be drawn (with crossings) in the plane in such a way that all the edges have equal length. This extends a former result of Catlin and Lai [ J. Combin. It is very easy to tell when a graph has an Euler circuit (and an Euler walk), one just has to count degrees of vertices. Furthermore, we take $x_0=1$. Eulerian and Hamiltonian Graphs in Data Structure /ProcSet [/PDF /Text /ImageB] Journal of Graph Theory, Vol. Gameplay itself is interesting. Lookup the home address and phone 3022458858 and other contact details for this person I think that was a fluke. Text us for exclusive photos and videos, royal news, and way more. /Parent 5 0 R endobj /Subtype /Type1 The bipartite double graph of the Petersen graph is the Desargues graph.Petersen Graph. /MediaBox [0 0 417 642] << /Parent 5 0 R /Contents [264 0 R 265 0 R 266 0 R 267 0 R 268 0 R 269 0 R 270 0 R 271 0 R] It wasn't like a blowout. Lindsey's alternate cast photo. endobj /ProcSet [/PDF /Text /ImageB] /XObject 96 0 R What is the value of v e + f now? She doesn't deserve it and I'm not gonna go there. I think that we kinda agreed on the sand that night that, Maybe you're good. I told him, It's not because I'm cold, wet and hungry. 556 556 556 556 556 556 549 611 556 556 In this case, we simply expand our original sequence $(x_0,x_1,,x_t)$ by replacing the integer $x_i$ by the sequence $(u_0, u_1,,u_s)$. You draw it by starting at a vertex of odd degree (or anywhere in case there are none.) [She sighs.] << /Rotate 0 In this paper we show that a bridgeless graph without 2-valent vertices has a spanning eularian subgraph without isolated vertices. >> Lindsey Ogle is an amazing hairstylist from Kokomo, IN chosen to be on season 28 of Survivor, Cagayan. The Petersen graph, labeled. Unlike the situation with eulerian circuits, there is no known method for quickly determining whether a graph is hamiltonian. She's just not my cup of tea and I'm not hers. The Petersen graph is cubic, 3-connected and has 10 vertices and 15 edges. Lindsey Ogle NP-C is a female family nurse practitioner in Chicago, IL. WebGraph (a) has an Euler circuit, graph (b) has an Euler path but not an Euler circuit and graph (c) has neither a circuit nor a path. /Thumb 95 0 R Eulerian Oh! I appreciate your support. /Font << But this skinny broad is wanting a piece of me. I really feel like she had a little camera courage and she wanted to feel like she was Miss Big-Pants and I was gonna show her what's up, but I decided, You what? /XObject 169 0 R That in many cutscenes (short films) players, themselves, create them! endobj /Filter /FlateDecode Who would I look like? /ProcSet [/PDF /Text /ImageB] Lawsuits, Liens or Bankruptcies found on Lindsey's Background Report Criminal or Civil Court records found on Lindsey's Family, Friends, Neighbors, or Classmates View Details. Its time to move on. H|UR0zLw(/&c__I)62DIeuv 0c|L8Zh(F?qd =@y m* lb>9TRQ >y l@ @`hb("#hC`6j1d7uQT lS02|7bn[&QvaT2f!wCF}\M.>6lV~:FRgqpw 0O/&EZ