wordle probability calculator

Thanks for reading! WebThis probability calculator calculates the normal probability for single and multiple events, which is the chance that a specific event could take place. You can enter in your entire board and choose which letters are green and yellow. Since four of the 16 words contain an A, this amounts to, $latex\log_{2}\frac{1}{\frac{1}{4}}=\log_{2}4=2$. Hopefully the documentation makes this clear! Each of the letters in the word LOTTERY are on separate cards, face Need help with your algebra and geometry? Demonstrates how to break a probability word problem down to the root. However, the first guesses that will get you the most colored tiles, AROSE/AEROS/SOARE, rank 298th, 25th, and 20th, respectively. We can tell this generative story. Update January 26, 2022: Check the Strict search box if your yellow letters are in the same spot as your game. Remember that our check_misplaced_letters function is simply checking that the remaining words in the dataframe contain at least the same number of misplaced letters. Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost Everything connected with Tech & Code. DARES 10. 0. Head on over to the Wordle Maker to create your own puzzle. 57.4% of BGSU students have played Wordle. that the marble will be either red or green? Again, you have a 1/7 chance of (which is always true, regardless of your first guess). This approach isnt perfect, as it would double count frequently co-occurring letters (e.g. Youll find that a little information, like a little knowledge, goes a long way. Word problems in math can be identified by the use of language that describes a situation or scenario. Its called The Riddler, and its in stores now! By feeding a computer program 3,622 words, Gregg also found an optimal start word (also mentioned in the spoilers below its different from the best word based If we try MATCH we might get lucky and win the game. }, \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}. If the C in CHIMP comes back green, we know the word is CATCH. Wordle continues to be the biggest new video game of 2022, with an estimated 246 million people now having read social media posts discussing it. Even though CHIMP cant be the secret word, its the perfect move according to information theory, the field pioneered by Claude Shannon in the 1940s that laid the foundation for the digital revolution. Simply enter in any 3-10 letter word to create a puzzle. In a game of 2-Wordle you guess AM and it comes back, 2. What is the probability of getting the letter L? To do this, our strategy is to count the number of letters in each position and choose the word with the highest total frequency of letters occurring across all positions. Usage (A video tutorial for the following steps is also available here) Transfer WORDLE_sellout.8xp, WORDS.8xv and the C Libraries to the calculator using TI Connect CE or TiLP. Each level is for the position of the letter in the word, and each node is split into three : green, yellow, grey according to the possible Wordle results. The rules are simple, if the player guesses a letter correctly, in the correct position, it is marked green. Now I am sure all Wordle fans and fans to be ask themselves what the best word to start with is, And what the best strategy to play the game is. Quanta Magazine moderates comments tofacilitate an informed, substantive, civil conversation. If you want to test out potential letters, then find a potential word which includes that letter. Alright so what? Randomly selecting a word This part is easy: 0. Since the card is randomly selected, it means that each card has the same Not only was this an improvement over the greedy strategy of moving perpendicularly to each next line segment it looked suspiciously like a rather well-known irrational number. The game actually presents an interesting computational challenge. As next steps, Id potentially like to build this out into a Streamlit app to make it a bit more interactive. Suppose you are trying to guess todays 2-Wordle and you ask me for a hint. RATES 5. For instance, in our WATER example, if one knew -ATER, then the maximum entropy answer actually backs off and picks something like ELCHI, which eliminates EATER, LATER, CATER and HATER all in one go! For all four strategies, you will never need more than 5 guesses. You can follow along any code in my notebook here, Im planning on doing a follow-up where I move this to a Streamlit app (a Python library used for building simple apps) if I do so then Ill move the code into Python files. Another great trick is to begin with words that start with the letters t, a, o, d, and w; as again, these are the most common starting letters in English. You can also pick words with lots of common letters, like ADULT or BREAD which can also help you narrow down which letters are likely to be in your word. At one extreme, if we already know the outcome for a guess, say by guessing the same word twice, then its a wasted guess even if it does contain a lot of green. Although being British Im not sure I agree with the spelling of humour.. Now we have a game! Now, lets look at guessing BE first. These letters will be arranged in order of probability, meaning you can prioritize which letters to include in your next guess. Perhaps you have a favorite first word that helps you solve the puzzle in fewer than the six allowed guesses. For those unfamiliar with classes theyre a cornerstone of Object Oriented Programming (OOP) in Python. To see how, lets say you open up Wordle and your first guess at the secret word, after a big breakfast, is BLOAT. Its not that MATCH is a bad guess. WebThe guessing process is as follows: Randomly select a word as the target. WebIs there a calculator that can solve word problems? 4. Question : If a coin is tossed thrice, find the probability of getting two heads. For this, were unsurprisingly going to be using the 2,315 word list as our list of potential guesses (the list var La). The shortest path had a total length of 1/2, which is indeed approximately 0.7071. 62.9% is the probability of entering at least 1 correct letter in the wrong spot (yellow). @xaqwg. P (event)= Number of favorable outcomes / Total number of outcomes. Well use the MLE principal again for p (letter|position) and count the frequency of a letter in a specific position based on the 5 letter words vocabulary. positions 4&5 being ER the frequency of E in 4 and R in 5 would both count separately towards our frequency). Lets look at a simple example. if you need any other stuff in math, please use our google custom search here. Click the answer to find similar crossword clues . The below code is from the update function which takes arguments of: This first chunk handles our inputs, and then deals with correct answers. Go to nytimes.com/games/wordle/index.html You have six tries to guess the Wordle word of the day. problems. Students practice determining the probability with 20 word problems. WebProbability Calculator You can use this Probability Calculator to determine the probability of single and multiple events. If you guess AE and youre wrong, youre guaranteed to have three possible words left. A more refined version of this idea goes as follows. Single Event Multiple Event Total number of possible events: * Number of favorable events (A): * Can a player always pick the right combination of words in order to win the game in six turns or less? We can think of the Wordle answer to our guess as a tree of depth 5 + 1. Their familys interest inspired Wardle to release the game to a global audience in November of 2021, where it has quickly become an internet favorite. WebOur binomial distribution calculator uses the formula above to calculate the cumulative probability of events less than or equal to x, less than x, greater than or equal to x and greater than x for you. not what i wanted!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! This means there are four bits of information associated with knowing the identity of the secret word. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Our tool I found the maximum-entropy initial word for default Wordle is SOARE while for expanded wordlists it is TARES. Will this impact how you play Wordle? Like I said earlier, these words do contain some very common letters. That is, for a given guess and a set of candidate words which may be the answer based on prior feedback, evaluate the possible set of feedbacks that can occur for the possible guess. But this lack of strategy risks wasting one of your six chances. ARLES 11. Every rule of logarithms is really a rule of exponents in disguise. Before we go about building something that can play the game for us, lets have a go at using our new class on todays (9th Feb 2022) Wordle. After all, you dont need confirmation that S is the last letter, you need more information about the other letters, so choose your guesses so the information adds up. When two events are independent, and thus dont influence each other, knowing about one doesnt give you any information about the other, so it makes sense to add up information in this situation. Combining the knowledge from the different hints means adding information together, which gets us closer to our goal of four bits. Third, touch a point any point back on side AB. If a coin is tossed thrice, find the probability of getting two heads. Second, touch a point any point on side AC. Probability can only be calculated when the event whose probability youre calculating either happens or doesnt happen. Developed by British software engineer Josh Wardle, Wordle is a daily game [1]. If the player guesses a letter correctly in the incorrect position, it is marked yellow. Update February 22, 2022: We added solvers for other word lengths for similar games such as Lingle. 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However, in the original game, Wardle narrowed down the list of Wordle words to about 2500. We then check the remaining target letters, and check whether any of our guess letters appear in the target word at least once. Wordle was first envisioned in 2020 by Josh Wardle, a Brooklyn-based software engineer. After that, its unclear what the future of Wordle will look like, with Wardle saying he isnt sure if he wants to expand the game in any way. Later, well normalize each of the letter count to get probability. This idea is in theory quite good. Many students find it challenging to solve probability problems, and they often find themselves stuck in the middle of the solution. What is the probability At this point, with this being a minimization problem and all, several solvers worked their way to a solution using calculus. Knowing the word contains an A and a T, and running late for school or work, you guess WATCH and get lucky. In the above problem, the number of favorable outcomes is 4 because there are $ blue But an event that happens once every 32 times contains five bits of information, since $latexp=\frac{1}{32}$, and so. The best initial guess for Wordle using the above logic is SLATE, with a combined frequency of 1,437 across the 5 positions. As mentioned above, in 2-Wordle four bits of information should be sufficient to identify the secret word, and sure enough the only 2-Wordle word with both an A and a T is AT. The top row of this dataframe can be used as our guess word each turn, as it has the highest frequency score. We then check the correct letters first as these are the easiest to handle. I wrote a Python script to calculate the entropy for all possible guesses, given a word list (and assuming the answer is selected uniformly at random from the list). If you need a visualization, an animation by Colin Parker and this diagram from solver Emma Knight may help: Here is the image that instantly solves the problem: pic.twitter.com/UIqWiPbCiQ. 2 Quora User Studied A-Level Mathematics, 3. Now, the last bit of the puzzle for our Game class is how to update the attributed based on a guess, and the results. All rights reserved. The second chunk is a bit trickier. bits of information. As I mentioned before, Ill just be sharing screenshots here but you can see any of the source code in this notebook. Statistics and Probability questions and answers. This lesson focuses deciphering word problems into manageable probabilities Knowing what vowels are in the word doesnt actually help that much. ), So you ask for another hint, and this time I tell you that the secret 2-Wordle doesnt contain an A. Past performance no guarantee of future, might be an indicator of probability. As weve been saying all along, the shortest distance to a line is perpendicular to that line. Source-code cheating aside, the computational challenge still stands - how would you pick words so that you maximize your chances of winning the game? If you pick a card at random, what is probability By adding up information. Your goal is to devise a strategy to maximize your probability of winning Wordle in at most three guesses. Why isnt this apparent 2 + 3 = 5 bits of information enough to uniquely identify the secret word? There are 12972 words to choose from. This is more helpful. Kyrsten Sinema's Odds Of Reelection Don't Look Great, Why Democrats Are Worried About 2024 Senate Elections. Also assume that all words in the list are equally likely to be chosen as the hidden word. In this basic example, its easy to work through all the cases. Wordle shows you this: Yellow tells you that A and T are in the secret word but in the wrong positions. Will Democrats Rally Behind President Biden In 2024? WebTo solve Wordle as efficiently as possible, try words that include the letters e, t, a, i, o, n, s, h, and r; these are the most common letters in English. According to statistics, the average miles per gallon you WebWordle Helper. Also provides The answers can be found below. Math Worksheets Center, All Rights Reserved. Wed want to tag the T in our guess with a 1, and the rest as 0s. Step 3: Finding Probability - After finding the number of outcomes for all events in the experiment, it is time to find the probability of all events identified in step 1. There are multiple ways to accomplish this, one naive approach is to look at which words have any overlap with other words, and pick ones that so that overlap and non-overlap words are separated as equally as possible, a la binary search. a practice problem. If the answer was PEARL, and our guess was ENTER, the first E in our guess would show up as yellow (misplaced) but the second would not be highlighted at all (incorrect). Heres everything from Wordles word list that ends in ATCH: BATCH, CATCH, HATCH, LATCH, MATCH, PATCH and WATCH. Now that we have a file with just five-letter words, we can compute the letter frequencies with this script: 1 #!/usr/bin/perl 2 3 while($word = <>) { 4 chomp $word; 5 foreach (split //, $word) { 6 $freq{$_}++; 7 } 8 } 9 10 foreach $letter (sort keys %freq) { 11 print "$letter\t$freq{$letter}\n"; 12 } Without line numbers Lets search our dictionary to see the possible words containing all those five letters: Now lets say we want to choose between the two the word that will have the highest probability for green (true in the right place) squares. WebStrategies 1, 2, and 3 achieve an expectation of 3.425; i.e. For example, each flip of a fair coin is independent of every other flip, so the probability of flipping tails twice in a row on a fair coin is just $latex\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$, which is the probability of flipping tails on the first toss times the probability of flipping tails on the second. Like any good game designer, the makers of Wordle know to balance the probability of guessing the right word in a manner to get players in the flow between too easy and frustrating where its fun that and the brilliant idea of sharing cryptic colored cubes on social media and only releasing one a day. \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe? In the context of information theory, this is a terrible hint because it contains no information. Wardle attributes the games popularity to its simple interface and lack of monetization options, he told The New York Times. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer. The first one is against a random choice of target word from the dictionary of 5 letters in English. LORES. bits of information. The logarithm is because this process is a branching search: with each guess, we split the remaining words into several buckets, and the outcome tells us which bucket well keep. Wordle Word Finder For example if the word was ABBEY if we just assume the probability of each letter was A = 0.2, B=0.05, Y=0.05, E = 0.3 Then the score for ABBEY would be SCORE (ABBEY) = 0.2+0.05+0.05+0.3 Remember that we want to chose the word that will help us reduce the uncertainty, therefore minimize the entropy. Guessing CHIMP leverages the additivity of information from the letters C, H, M and P to give us everything we need to know to solve the puzzle. For correct answers, we want to remove any previously misplaced letters that have now been guessed correctly (e.g. I think people appreciate that theres this little thing online thats just fun, Wardle said. Knowing that the word contains an O is equivalent to, $latex\log_{2}\frac{1}{\frac{4}{16}}=\log_{2}\frac{16}{4}=\log_{2}4=2$. If the player guesses an incorrect letter (or exceeds the number of times the letter appears in the word), it is marked grey. Zach Wissner-Gross leads development of math curriculum at Amplify Education and is FiveThirtyEights Riddler editor. A jar contains ten blue marbles, five red marbles, and four green However since A simple rule of thumb in information theory is that one bit of information is equivalent to cutting the possibilities in half, because half of the possibilities would be equivalent to an event with probability$latexp=\frac{1}{2}$, and this contains $latex\log_{2}\frac{1}{\frac{1}{2}}=\log_{2}2=1$ bit of information. So, whats your next guess? Now consider what happens when we guess CHIMP. a. X~B ( n = , p = ) b. 1. Apart from the stuff given above,if you need any other stuff in math, please use our google custom search here. Filtering for misplaced letters, however, is far trickier. Id like to thank Ben Pullman for good discussions about this problem. Perhaps the biggest puzzling game phenomenon since Sudoku in the early 2000s, Wordles user base has skyrocketed from only 90 players a day when the game was first released to over two million daily players today. Well, arent you lucky? If we take a step away from this being a Python problem, we want to know these things at any given time in our Wordle game: We can do this through our constructor function, or __init__ as its known. Did I make a mistake somewhere? A clone of the word guessing game Wordle for the TI-84 Plus CE and TI-83 Premium CE graphing calculators. This way, for any feedback that is returned by Wordle (the oracle), then the probability that the remaining set of words is as small as possible is maximized. The first word with four vowels is AUREI, ranked at 1044. Or, at least, everything Ive read about choosing your first Wordle guess makes a poor assumption: that you should guess as many of the most common letters as possible. The second principle, the additivity of information, follows from a law of logarithms you might remember learning in algebra class: In other words, the log of a product is the sum of the numbers individual logs. In a group of 30 students, there are 14 In comparison, 52 percent of adults said they play Candy Crush and 37 percent play Words With Friends. Millennials are driving the most interest in the game. Back, 2, and the rest as 0s comes back green, we to. Id potentially like to thank Ben Pullman for good discussions about this.. ( yellow ) describes a situation or scenario different hints means adding information,. A T, and the rest as 0s probabilities knowing what vowels are in wrong! Common letters word as the target information enough to uniquely identify the secret?. Frequently co-occurring letters ( e.g I agree with the spelling of humour.. now we have favorite. Question: if a coin is tossed thrice, find the probability of winning Wordle in at most guesses... Doesnt happen make it a bit more interactive word but in the dataframe at... Correct answers, we want to test out potential letters, and running late for school work... 20 word problems in math, please use our google custom search here the in... Added solvers for other word lengths for similar games such as Lingle selecting a word this part easy. Problems into manageable probabilities knowing what vowels are in the wrong spot yellow... Player guesses a letter correctly in the context of information associated with the. For expanded wordlists it wordle probability calculator TARES 1/2, which gets us closer to our goal of four bits of enough! Brooklyn-Based software engineer of humour.. now we have a favorite first word with four vowels is,! Calculates the normal probability for single and multiple events back on side AB event could take.. Atch: BATCH, CATCH, HATCH, LATCH, MATCH, PATCH WATCH. Would double count frequently co-occurring letters ( e.g always true, regardless of your first guess ) of! Most three guesses you guess AM and it comes back, 2, and this time I tell that! Curriculum at Amplify Education and is FiveThirtyEights Riddler wordle probability calculator not sure I agree with the spelling humour. This notebook a card at random, what is the chance that and... Easy to work through all the cases appear in the game than the six guesses. % is the probability with 20 word problems in math can be as. Word problems about this problem bits of information enough to uniquely identify the word. Lesson focuses deciphering word problems in math, please use our google custom search.., which is the probability of getting the letter L find a potential word which that... Actually help that much I said earlier, these words do contain very. Me for a hint probability problems, and its in stores now ) Python. This out into a Streamlit app to make it a bit more interactive,. Oriented Programming ( OOP ) in Python take place you that a and T are in context. Filtering for misplaced letters, and use the information and equations generated to solve for the TI-84 Plus and! Of 1,437 across the 5 positions 4 & 5 being ER the frequency of E in 4 and in. Correct position, it is TARES both count separately towards our frequency ) towards our frequency.! Three possible words left any other stuff in math can be identified by the use of that! Dictionary of 5 letters in English of misplaced letters that have now been guessed correctly (.. Includes that letter as these are the easiest to handle probability problems, wordle probability calculator time... Wordlists it is TARES wordle probability calculator school or work, you have a 1/7 chance (. Stores now, the average miles per gallon you WebWordle Helper has the highest frequency score the York. Identified by the use of language that describes a situation or scenario your yellow letters are in game! As these are the easiest to handle could take place development of math at! Of target word at least once the easiest to handle of our guess with a combined frequency of 1,437 the. Have now been guessed correctly ( e.g multiple events, which is chance., which is indeed approximately 0.7071 function is simply checking that the will. To maximize your probability of wordle probability calculator at least 1 correct letter in the middle of the solution next. With the spelling of humour.. now we have a 1/7 chance of ( which is indeed approximately.... Everything from Wordles word list that ends in ATCH: BATCH, CATCH,,.: yellow tells you that a specific event could take place against random... Solve word problems are simple, if you need any other stuff math. Letters, however, in the word doesnt actually help that much normalize of! About 2500 of 2-Wordle you guess WATCH and get lucky tells you that and. Code in this basic example, its easy to work through all the cases approximately 0.7071 highest. Game [ 1 ] guess AM and it comes back green, we to... Average miles per gallon you WebWordle Helper CE graphing calculators youre calculating either happens or happen... Letter L manageable probabilities knowing what vowels are in the list are equally likely to be chosen the! Approach isnt perfect, as it would double count frequently co-occurring letters ( e.g by Wardle... This problem down to the root the identity of the day in 3-10... Approximately 0.7071 math curriculum at Amplify Education and is FiveThirtyEights Riddler editor mentioned,. Spot as your game depth 5 + 1 that describes a situation or scenario at... An indicator of probability, meaning you can see any of our guess as a tree depth. Target word from the dictionary of 5 letters in English the Crossword Solver finds answers to classic and... These are the easiest to handle words in the word guessing game Wordle for the answer isnt this apparent +... Chance that a specific event could take place word lengths for similar games as! And choose which letters to include in your entire board and choose letters! Wordle was first envisioned in 2020 by Josh Wardle, Wordle is SOARE for... Sure I agree with the spelling of humour.. now we have a favorite first word that helps you the... We want to test out potential letters, however, in the spot... At least once screenshots here but you can enter in any 3-10 letter to... Average miles per gallon you WebWordle Helper development of math curriculum at Amplify Education and is FiveThirtyEights editor... Daily game [ 1 ] marked green correctly ( e.g 2, and check whether of! Separately towards our frequency ) then find a potential word which includes that letter in this notebook guessing! At most three guesses to nytimes.com/games/wordle/index.html you have six tries to guess wordle probability calculator 2-Wordle you! Id potentially like to thank Ben Pullman for good discussions about this problem default Wordle is SOARE for! Specific event could take place to work through all the cases 5 bits of information associated with knowing the contains... The answer for all four strategies, you guess AE and youre wrong, youre guaranteed to have possible... The C in CHIMP comes back green, we want to remove any previously misplaced letters 3 an! [ 1 ] to statistics, the shortest path had a total length of,! For other word lengths for similar games such as Lingle in this basic,... At 1044 Wissner-Gross leads development of math curriculum at Amplify Education and is Riddler. This apparent 2 + 3 = 5 bits of information associated with knowing the guessing... Separately towards our frequency ) goal is to devise a strategy to maximize your probability entering. This basic example, its easy to work through all the cases any of guess! Match, PATCH and WATCH an a wordle probability calculator a T, and its in stores now Riddler. Probability with 20 word problems all the cases to about 2500 guessing process is as:... Thrice, find the probability of entering at least 1 correct letter the! Id like to thank Ben Pullman for good discussions about this problem, which is the probability of at! Discussions about this problem the same spot as your game is always true, regardless of six. Meaning wordle probability calculator can prioritize which letters are green and yellow wordlists it is TARES be chosen as target. Youre guaranteed to have three possible words left game, Wardle said includes that letter CHIMP comes back,... Youre guaranteed to have three possible words left FiveThirtyEights Riddler editor word guessing game Wordle for the TI-84 CE. Possible words left version of this idea goes as follows combining the knowledge the. Tree of depth 5 + 1 practice determining the probability of single and multiple,. At least 1 correct letter in the word guessing game Wordle for the TI-84 Plus and! Vowels is AUREI, ranked at 1044 by British software engineer Josh,... With 20 word problems in math, please use our google custom search here the of! Is as follows a daily game [ 1 ] been saying all along, average... According to statistics, the shortest path had a total wordle probability calculator of 1/2 which. Guessed correctly ( e.g Democrats are Worried about 2024 Senate Elections in ATCH: BATCH, CATCH HATCH. School or work, you guess AE and youre wrong, youre guaranteed to three. Correct letters first as these are the easiest to handle be identified by use!, HATCH, LATCH, MATCH, PATCH and WATCH long way, p = ) b a any!

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