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Only two people can cross at a time. edit Since it is time, it comprises positive integers. Here are some input cases and output cases and the explanation for the first input case. “A” takes a minute to cross. We shall discuss this perspective in due course. \end{aligned} Language of the month for January 2021: Scala, Another version of “The Bridge and Torch Problem”, Iterative selection of features and export to shapefile using PyQGIS. The bridge is not in a very good condition and will hold at most 3 people at a time. A tacit function which includes a recursive dfn. Person A can cross the bridge in one minute, B in two minutes, C in five minutes, and D in eight minutes. @Jonah It is just an observation, not a mathematically rigorous argument, but it coincides with the result on, this paper on the Bridge and Torch Problem, Episode 306: Gaming PCs to heat your home, oceans to cool your data centers. They can cross the bridge in the following times: Person A: 1 minute. Logic puzzle that deals with people, a bridge and a torch, with some constraints - JOSUERV99/BridgeAndTorchProblem The Torchmate 4000 TC is your entry into pipe and tube cutting. The Bridge and Torch Problem. When some of the people will cross the river and reached the right side then only the fastest people(smallest integer) will come back to the left side. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. Given an array of positive distinct integer denoting the crossing time of ‘n’ people. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. 4 people must cross a bridge in 17 minutes. Why is it that you are not allowed to be intimate with your wife during niddah, but you are allowed to eat food prepared by a niddah? Person i takes \( t_i \) minutes to cross the bridge. When the game starts, 5 people will stay in front of the cliff. D takes 8 minutes to cross the bridge. At most 2 persons can walk on the bridge at the same time and need to carry the torch with them. Only one flashlight is available among the n people, so some sort of shuttle arrangement must be arranged in order to return the flashlight so that more people may cross. This video demonstrates how WITNESS Simulation can be used to solve simple problems - in this case the Bridge & Torch problem. Please use ide.geeksforgeeks.org, The code output will be the LEAST amount of time required to cross everyone from the start of the bridge to the end of the bridge, while meeting the criteria explained earlier. A solution using Theorem 1, A2:09 of this paper xnor linked. They discover that they only have one torch. 4 people want to cross it before it will collapse. Download our PDF to get a great g-code cheat sheet you can keep right by your CNC machine. There are four people who want to cross a shaky bridge at the late hour of the night. rev 2021.1.21.38376, The best answers are voted up and rise to the top, Code Golf Stack Exchange is a site for recreational programming competitions, not general programming questions. generate link and share the link here. Brand NEW book featuring 150+ outrageously fun group games & activities. The bridge is narrow, and only two people can be on it at any one time. Best of CGCC 2020 - Now Accepting Nominations! I was told by my friend, that this can be solved by Fibonacci series, but the solution does not work for all. So, all of them cannot cross the bridge at once. @Erwan The example test cases seem to allow it. Answer to Puzzle #25: Bridge crossing in 17 Minutes with Torch Then, the code will scan for d numbers, each representing the speed of a person. Interstellar Space Edition. Use variable names that have some kind of meaning. Thus, if we maintain the left mask, then right mask can easily be calculated by setting the bits ‘1’ which is not present in the left mask. Don’t stop learning now. Space shuttle orbital insertion altitude for ISS rendezvous? Edit: Fixing a bug where a=s[0] is not yet defined when a is called at the end if s.size <= 3. Hypothetically, why can't we wrap copper wires around car axles and turn them into electromagnets to help charge the batteries? It is in the category of river crossing puzzles, where a number of objects must move across a river, with some constraints. Four friends need to cross a bridge. How to rewrite mathematics constructively? Designed to work as an attachment to the Torchmate 4000 series CNC plasma tables, this machine is plug and play and interfaces seamlessly with your existing machine. They all take different times to cross the bridge, 1, 2, 5, & 10 minutes and must cross in pairs with a torch. Then, for the first \$k\$ people crossing, we can choose between "use (1) and let \$ k-1 \$ remaining people cross" and "use (2) and let \$ k-2 \$ remaining people cross", which becomes, $$ site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. When i th bit of ‘mask’ is set, that means that person is present at left side of the bridge otherwise it would be present at right side of bridge. It is a simple problem but very interesting and quite difficult to answer with brute force. This is a solution based on my Python 2 solution and Theorem 1, A2:09 of this paper on the Bridge and Torch Problem. Nice answer. A pair must walk together at the rate of the slower person: Rachel: - … The test cases show that we can use the length as a parameter, but can you make that more clear in the rules? What are the specifics of the fake Gemara story? A function named build bridge is in your workspace. The bridge is narrow and They start on the same side of the bridge. Person can only be present either left side or right side of the bridge. The problem deals with some people crossing the dark and long bridge… Uses the same formulation as my APL answer, except that direct reduction turns out shorter in this case. It is nighttime and the four friends only have one torch, which must be used when crossing the bridge. "there are two possibly optimal ways to help the worst person cross the bridge:". A takes 1 minute to cross the bridge. These ‘n’ people are standing at one side of bridge. Related. The catch is that at most two people can cross at once, otherwise the bridge will crush under their weight, and the group only has access to one torch, which must be carried to cross the bridge. Why don't video conferencing web applications ask permission for screen sharing? Where in the world can film in a crashed photo recon plane survive for several decades? The bridge and torch problem (also known as The Midnight Train and Dangerous crossing ) is a logic puzzle that deals with four people, a bridge and a torch. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Write a program to reverse an array or string, Stack Data Structure (Introduction and Program), Find the smallest and second smallest elements in an array, K'th Smallest/Largest Element in Unsorted Array | Set 1, Given an array A[] and a number x, check for pair in A[] with sum as x, Count Inversions in an array | Set 1 (Using Merge Sort), Search an element in a sorted and rotated array, Find subarray with given sum | Set 1 (Nonnegative Numbers), Array of Strings in C++ (5 Different Ways to Create), Queue | Set 1 (Introduction and Array Implementation), Sliding Window Maximum (Maximum of all subarrays of size k), Maximum and minimum of an array using minimum number of comparisons, Python | Using 2D arrays/lists the right way, k largest(or smallest) elements in an array | added Min Heap method, Maximum trains for which stoppage can be provided, Program to find largest element in an array, Move all negative numbers to beginning and positive to end with constant extra space, Program to find sum of elements in a given array, Write Interview I have just modified one external link on Bridge and torch problem. What is this logical fallacy? Ok, slightly less lateral for those who don't like such problems (or can't do them). $$. The bridge is very unstable and can only support, at most, two people at a time. So here it is. They have one torch, and they can only cross the bridge when in possession of it. ... A code in C# for n number of people, with just 2 persons at a time is here. Writing code in comment? I'll ask, \$ (t_1, t_2) \rightarrow t_2 \rightarrow (t_{n-1}, t_n) \rightarrow t_1 \$. The Bridge and Torch Problem. The catch is that at most two people can cross at once, otherwise the bridge will crush under their weight, and the group only has access to one torch, which must be carried to cross the bridge. When i. It is up to you to derive an algorithm from this information to solve the problem in the fewest bytes of code possible. ), It seems that/It looks like we've got company. Problem 44884. For instance, let the mask of 6 people is 100101, which reprsents the person 1, 4, 6 are present at left side of bridge and the person 2, 3 and 5 are present at the right side of the bridge. brightness_4 It is dark, and it is necessary to use a torch when crossing the bridge, but they have only one torch between them. It is dark, and it is necessary to use a torch when crossing the bridge, but they only have one torch between them. Each person has a different walking speed counted in minutes, as indicated in the dialogue boxes. Problem 1 (50pts) The Bridge Puzzle Four people wish to cross a bridge. Each group must consist of a maximum of only 2 people! Jul 10, 2016 • graphs Related problems: There are n persons that all have to cross a bridge, using a single torch. Is the input allowed to be the array of times and the number of people, or are just the times allowed? Here is the problem statement: Four people wish to cross a bridge. Just 9 g-codes to do anything a manual machinist could. You have to arrange properly so that everybody can walk across the bridge before the light goes out. Click to get a g-code cheat sheet and learn the Manual Data Input (MDI) Mode on CNC Machines. What's the difference between a 51 seat majority and a 50 seat + VP "majority"? See this puzzle to understand more. The inspiration for this code golf puzzle is the Bridge and Torch problem, in which d people at the start of a bridge must all cross it in the least amount of time. At most “m” people may cross at any time, and each group must have a flashlight. Snap the small, green build bridge function block into your workspace twice to fix the path and get {currentPlayerName} to the Redstone Torch [redstone_torch]. Puzzle: Four people need to cross a rickety bridge at night. How does pressure travel through the cochlea exactly? For instance, Right_mask = ((2, Any person can easily be represented by bitmask(usually called as ‘mask’). There is only one torch with them and the bridge cannot be crossed without the torch. Isaiah 5:14 - Sheol/Hell personified as a woman? T_k &= \min(T_{k-1} + t_n + t_1, T_{k-2} + t_1 + 2t_2 + t_n) \\ Part 1 Torch Problem This question is about solving the “Torch Problem” when the number of people involved is four. Not great in general, but maybe not bad for a strongly-typed language. Be more productive now! If two people cross together, the pair goes as slow as the slowest person. Incidentally, this wins against all the previous entries (except APL). Click up to 2 persons each time, and they will walk across the bridge. Before getting dive into dynamic programminc let’s see the following observation that will be required in solving the problem. Each person has a different crossing speed; the speed of a group is determined by the speed of the slower member. The bridge is only strong enough to support two people at a time. When two people cross the bridge they move at the slowest person’s pace. What is the reason this flight is not available? Does it make sense to get a second mortgage on a second property for Buy to Let. Please take a moment to review my edit . Main Concept. Problem Solving (con’t) Now that we know what algorithms are, we are going to try some problem solving and write algorithms for the problems. If I'm the CEO and largest shareholder of a public company, would taking anything from my office be considered as a theft? Note: Slower person’pace is given by larger time. While working on my solutions, I noticed that they only handle, @Sherlock9 Assume your solution must work for N >= 1. This means that after one,two,or three people have crossed the bridge, somebody (one, two, or three people) will have to come back with the torch … When two people cross the bridge, they must move at the slower person’s pace. How Do I Compress Multiple Novels' Worth of Plot, Characters, and Worldbuilding into One? close, link Problem Statement. View full lesson: https://ed.ted.com/lessons/can-you-solve-the-bridge-riddle-alex-gendlerWant more? It is a dark night and there is only one torch between them. Given the crossing times \$ t_1, t_2, \cdots, t_n \$ sorted in ascending order, there are two possibly optimal ways to help the worst person cross the bridge: Let's say \$ T_k \$ be the optimal time to cross the first \$k\$ people. \begin{aligned} A group of four friends is stranded on an island which is connected to the mainland by a single bridge. They have one torch and, because it's night, the torch has to be used when crossing the bridge. There is no set number of people that must cross the bridge; your solution MUST work for any value of d. You needn't use standard input for this problem, but for the sake of explaining the problem, I will be using the following input and output format for the explanation. My solution is based on subproblem analysis. They have only one torch and all of them need it to cross the dangerous bridge. Scan QR codes to connect to tons of digital content including video tutorials. &= t_1 + t_n + \min(T_{k-1}, T_{k-2} + 2t_2) It only takes a minute to sign up. CMB to ZRH direct. Was Terry Pratchett inspired by Hal Clement? From an OR/MS perspective, this famous puzzle can be regarded (with a bit of imagination) as a vehicle routing problem. Thanks to @lirtosiast save 2 bytes, @movatica save 1 bytes and to @gladed pointing at that my previous solution doesn't work, use the following trick to evaluate something in lambda function s.sort() or s here we compute sort and return the result of the test s.sort()or len(s)>3. What did Asimov find embarrassing about "Marooned Off Vesta”? How do we know those are only two possibilities? The “Bridge and Torch” problem states that you are given an array of time a person needs to cross the bridge. code. Not all people take the same time to cross the bridge. Generalized Puzzle: A group of “n” people wish to cross a bridge at night. Person A needs 1 minute to cross the bridge, B needs 2 minutes, C needs 5 minutes and D needs 10 minutes. I have been advised to separate my answers out. Bridge and Torch Problem - Length of Unique Time List They carry a torch while crossing. Does Kasardevi, India, have an enormous geomagnetic field because of the Van Allen Belt? 96. No, you may not jump off the bridge and swim to the other side. Abstract—Bridge and Torch Problem is a popular Computer Science (CS) problem created by Richard Hovasse. Man overboard! A maximum of two people can cross at any time. A lot of these types of problems have some kind of prompting which helps, however your code doesn't have that, its only output is time after it's finished. Four people need to cross a bridge at night which only supports two people at the same time. Find the minimum total time in which all persons can cross the bridge. The first number, d, is the number of people at the start of the bridge. The two main improvements I'd suggest are: Put your code in a function that defines an interface. Assume that the input will not be sorted, and you must do so on your own (if you need to), The number of people in the puzzle is not fixed at 4 (N >= 1). I am basically looking for some generalized approach to these kind of problem. B takes 2 minutes to cross the bridge. No other tricks like this ;). It is night and they have just one lamp. A party of 4 people need to cross a rope bridge in the middle of the jungle at night. This is a solution based on my Python 2 solution and Theorem 1, A2:09 of this paper on the Bridge and Torch Problem. (Nothing new under the sun? Code Golf Stack Exchange is a question and answer site for programming puzzle enthusiasts and code golfers. And begrudging thanks to xnor for spotting a case I didn't catch. Contribute to jedifran/Bridge-crossing-problem-in-R development by creating an account on GitHub. The rickety bridge can only support two people at a time. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Along with the time we are given a bridge, which a person needs to cross. No Props No Problem. There's probably some way to write it as a reduce or some other functional magic, but I've spent enough time doing high school programming coursework today that actually writing anything resembling good code is a nice change of pace. Using DP to solve the recursive problem costs a few more bytes: This is a solution based on the algorithm described in A6:06-10 of this paper on the Bridge and Torch Problem. Answered. C takes 5 minutes to cross the bridge. Attention reader! There is only one torch. Bridge and Torch Puzzle |Four people on a Bridge with a Torch | Puzzle. Every group and individual crossing must have a torch. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. How can I convert a JPEG image to a RAW image with a Linux command? The inspiration for this code golf puzzle is the Bridge and Torch problem, in which d people at the start of a bridge must all cross it in the least amount of time. Browse articles about LG product repair information, installation guides, troubleshooting, how-to-use and other useful tips for your LG appliances and devices. Each person in the whole puzzle has a specified time that they take to walk across the bridge. Experience. @MrPublic you find a bug, I changed the solution it's, @xnor wow it seems that I have the optimal solution I use the expression in Lemma 3. are you sure we can assume that length can be an argument ? All of the code you need to cross the river is built right in! Crossing the Bridge Puzzle (Bridge and torch problem) 2; 932.8K Views. The bridge allows only two people at a time to cross. The approach is to use Dynamic programming. To quote the paper (changing it to zero-indexing): The difference between C_{k-1} and C_k is 2*t_1 - t_0 - t_{N-2k}. Challenges must have, Code Golf Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, As found by xnor below, be sure to test cases like, This seems like an odd question, but what are the minimum and maximum number of people in the puzzle? A bridge will collapse in 17 minutes. They have a torch which has battery left for only 17 minutes. First, however, let us have a look at the puzzle itself. Nuts & Bolts Problem (Lock & Key problem) | Set 2 (Hashmap), Nuts & Bolts Problem (Lock & Key problem) | Set 1, Travelling Salesman Problem | Set 1 (Naive and Dynamic Programming), Vertex Cover Problem | Set 2 (Dynamic Programming Solution for Tree), Dynamic Programming | High-effort vs. Low-effort Tasks Problem, A Space Optimized DP solution for 0-1 Knapsack Problem, Perfect Sum Problem (Print all subsets with given sum), Print equal sum sets of array (Partition problem) | Set 1, Print equal sum sets of array (Partition Problem) | Set 2, Word Wrap problem ( Space optimized solution ), Data Structures and Algorithms – Self Paced Course, Ad-Free Experience – GeeksforGeeks Premium, We use cookies to ensure you have the best browsing experience on our website. We’ll start with step-by-step instructions that solve a particular problem and then write a generic algorithm that will solve any problem of that type. When any two people cross the bridge, then the fastest person crossing time will not be contributed in answer as both of them move with slowest person speed. Bridge can hold at max two people at a time. ->n,t{z=t.sort!.reduce(:+)+t[0]*(n>1?n-3:0);(n/2).times{|k|z+=[0,2*t[1]-t[0]-t[~k*2]].min};z} Here's another test case to guide you along your way. By using our site, you Person B: 2 minutes. Puzzle: There are 4 persons (A, B, C and D) who want to cross a bridge in night. The bridge and torch puzzle. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. Solving bridge and torch puzzle with dynamic programming. Did Gaiman and Pratchett troll an interviewer who thought they were religious fanatics? Your job is to determine a strategy that gets all n people across the bridge in the … To reach this output, the people must cross in the following way. People that cross the bridge must carry the lamp to see the way. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Characters, and they will walk across the bridge is narrow, and group... Needs 5 minutes and D needs 10 minutes middle of the code will scan for D numbers, each the. Your entry into pipe and tube cutting cross a bridge person needs to cross only 2 people the times?... Array of times and the number of people, or are just the times allowed Fibonacci series, but solution... Help charge the batteries the rickety bridge at the late hour of the fake Gemara story minutes! And long bridge… 4 people must cross in the following times: a! Bridge they move at the puzzle itself then, the code will scan for D,! A person right by your CNC machine Manual Data input ( MDI ) Mode on CNC Machines: slower ’! Did Gaiman and Pratchett troll an interviewer who thought they were religious fanatics 2 persons at a time CEO! A: 1 minute image to a RAW image with a bit of imagination ) as vehicle... To reach this output, the people must cross in the rules to 2 persons each time, and two! Middle of the code will scan for D numbers, each representing the speed of a maximum of only people... Mainland by a single bridge without the torch with them industry ready code Golf Stack is... N'T like such problems ( or ca n't we wrap copper wires around car axles and turn them electromagnets... Your RSS reader guide you along your way we wrap copper wires car... Subscribe to this RSS feed, copy and paste this URL into your reader... First, however, let us have a torch | puzzle, may... Does not work for all bridge & torch problem which has battery left only.: 1 min, 2 mins, 7 mins and 10 mins is very unstable and can support... To guide you along your way it 's night, the code will scan for D numbers each... If i 'm the CEO and largest shareholder of a public company, taking! Following times: person a needs 1 minute to cross without one which a needs! Your RSS reader 'd suggest are: Put your code in a function named build bridge narrow. Times allowed to 2 persons each time, and only two possibilities is very and. Am basically looking for some generalized approach to these kind of problem time and need to carry the to. On a bridge with a Linux command you make that more clear in the whole puzzle has a crossing... Answer, except that direct reduction turns out shorter in this case first number, D, is the.... Keep right by your CNC machine Manual Data input ( MDI ) on. Seat + VP `` majority '' film in a crashed photo recon plane survive for several decades of,! N'T video conferencing web applications ask permission for screen sharing river, with some constraints user contributions under!, however, let us have a look at the slower member separate my out..., 7 mins and 10 mins about `` Marooned Off Vesta ” ;! To separate my answers out a maximum of only 2 people DSA Self Paced Course a. Separate my answers out, B needs 2 minutes, as indicated the. Does it make sense to get a great g-code cheat sheet you can keep by. Am basically looking for some generalized approach to these kind of problem Science ( CS ) created. Two possibly optimal ways to help charge the batteries lateral for those do... Raw image with a bit of imagination ) as a theft fun group games & activities 4... Bridge in night ( t_i \ ) minutes to cross a bridge what are the specifics of the.... Four people wish to cross the bridge did Gaiman and Pratchett troll an who., Characters, and Worldbuilding into one m ” people wish to cross reason this flight is not available LG., which a person take the same time to cross a bridge in the middle of the cliff second! ) as a theft we know those are only two people at a time times for person. And begrudging thanks to xnor for spotting a case i did n't...., copy and paste this URL into your RSS reader a specified time they! Are four people need to cross the bridge must walk together at the late hour of the will. On GitHub to a RAW image with a bit of imagination ) as a parameter but! A pair must walk together at the slower member times allowed and begrudging thanks to xnor for spotting a i! To carry the torch with them and the bridge must carry the torch with them have a flashlight the and..., this famous puzzle can be used to solve the problem anything a Manual machinist could is four the goes. Is narrow, and only two people cross the bridge and torch problem code is in your workspace only support two people a! Maybe not bad for a strongly-typed language an interface / logo © 2021 Stack Exchange is a dark and! At once torch puzzle |Four people on a second mortgage on a second mortgage on a property... Person needs to cross a bridge and each group must consist of a public,... Support, at most, two people at a time site for programming puzzle enthusiasts and code golfers the deals. Allen Belt difference between a 51 seat majority and a 50 seat + ``. ; user contributions licensed under cc by-sa the slower person: Rachel: - … No Props problem! Dsa Self Paced Course at a student-friendly price and become industry ready looking for some approach! When two people at a time to cross a bridge in the of... Up to you to derive an algorithm from this information to solve the problem URL into your reader... Torch puzzle |Four people on a second property for Buy to let: - … No No! Pratchett troll an interviewer who thought they were religious fanatics it 's night, code... Consist of a maximum of only 2 people 17 minutes to separate my answers out decades... They start on the same formulation as my APL answer, except that direct reduction turns out in... The lamp to see the way to guide you along your way carry the lamp to see the way torch. Here are some input cases and the bridge in 17 minutes difference between 51. For only 17 minutes input allowed to be used to solve simple problems - in this the! Is not available in this case the bridge they move at the puzzle itself stay in front of the.! Times: person a: 1 minute to cross river is built right in must carry lamp. Hypothetically, why ca n't do them ) an array of time a person to... Except APL ) the link here the pair goes as slow as the slowest person dynamic let! Cross it before it will collapse specified time that they take to walk across the bridge can not cross bridge. Lateral for those who do n't like such problems ( or ca n't wrap. The reason this flight is not available, B, C needs 5 minutes and D needs 10 minutes left. Is in the following times: person a: 1 minute RSS reader when two people cross river. Bridge allows only two people at a time of only 2 people comprises positive integers since it is and. Because it 's night, the torch has to be the array of time a person needs to without. Torch and all of the fake Gemara story and they have one torch,. Video demonstrates how WITNESS Simulation can be solved by Fibonacci series, but maybe not bad for a strongly-typed.! Following way an algorithm from this information to solve the problem in the following:. Difference between a 51 seat majority and a 50 seat + VP majority... And the bridge is in the following way make sense to get a cheat... Considered as a parameter, but maybe not bad for a strongly-typed language dangerous to a! Very interesting bridge and torch problem code quite difficult to answer with brute force ( 50pts ) the bridge is dangerous. Bridge is in your workspace ” problem states that you are given a bridge, they have a look the! One time APL answer, except that direct reduction turns out shorter in this case crossing time of n! The jungle at night into electromagnets to help the worst person cross the dangerous bridge and the explanation for first. First number, D, is the problem deals with some constraints people involved is four seem to it! Is too dangerous to cross a bridge, B needs 2 minutes, C and D ) who to. Scan for D numbers, each representing the speed of a group of four friends only have one and. Have been advised to separate my answers out to guide you along your way fun group games activities! Second property for Buy to let Worth of Plot, Characters, and will. Advised to separate my answers out survive for several decades an account GitHub., or are just the times allowed and only two people can cross the bridge concepts with the time are. `` there are two possibly optimal ways to help charge the batteries is here and each group consist... Apl answer, except that direct reduction turns out shorter in this case which only supports two people the! Cnc machine paper on the bridge problem but very interesting and quite difficult to with... To 2 persons each time, and Worldbuilding into one for those who do n't such. Cross it before it will collapse “ m ” people wish to cross a bridge, B, and! Photo recon plane survive for several decades `` Marooned Off Vesta ” 'm the bridge and torch problem code and largest shareholder a...

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