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[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n10 years ago , the average age of a family of 4 members was 24 years . two children having been born ( with age diference of 2 years ) , the present average...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na certain company reported that the revenue on sales increased 20 % from 2000 to 2003 , and increased 40 % from 2000 to 2005 . what was the approximate perc...
[ { "content": "Write Python code to solve the task.\nYou are given an array $A$ of $N$ positive and pairwise distinct integers. \nYou can permute the elements in any way you want. \nThe cost of an ordering $(A_1, A_2, \\ldots, A_N)$ is defined as $ (((A_1 \\bmod A_2) \\bmod A_3)......) \\bmod A_N$ where $X \\bmo...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nfind ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?", "role": "user" }, { "content": "Step 1: First, let's solve the equation x / 2y = 3 / 2 t...
[ { "content": "Write Python code to solve the task.\nThe only difference between easy and hard versions is the constraints.\n\nVova likes pictures with kittens. The news feed in the social network he uses can be represented as an array of $n$ consecutive pictures (with kittens, of course). Vova likes all these p...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nHow many ways are there to put 5 balls in 2 boxes if the balls are distinguishable but the boxes are not?", "role": "user" }, { "content": "Step...
[ { "content": "Solve the following problem step-by-step:\nGiven the context and corresponding question, choose the correct answer from the options.\n\nContext: \nDuring a press conference, Council Member Johns stated that the advisory council appointed by Mayor Smith has been one of the least effective in recent...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nin a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be cover...
[ { "content": "Write Python code to solve the task.\nYou have an initially empty cauldron, and you want to brew a potion in it. The potion consists of two ingredients: magic essence and water. The potion you want to brew should contain exactly k\\ \\% magic essence and (100 - k)\\ \\% water.\n\nIn one step, you ...
[ { "content": "Write Python code to solve the task.\nTuzik and Vanya are playing the following game.\nThey have an N × M board and a chip to indicate the current game position. The chip can be placed on any one cell of the game board, each of which is uniquely identified by an ordered pair of positive integers (...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nThe equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^...
[ { "content": "Write Python code to solve the task.\nGiven a string s consists of upper/lower-case alphabets and empty space characters ' ', return the length of last word in the string.\n\nIf the last word does not exist, return 0.\n\nNote: A word is defined as a character sequence consists of non-space charact...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJake splits 8 shots of vodka with his friend. Each shot of vodka is 1.5 ounces. If the vodka is 50% pure alcohol, how much pure alcohol did Jake drink?", ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $a \\bowtie b = a+\\sqrt{b+\\sqrt{b+\\sqrt{b+...}}}$. If $4\\bowtie y = 10$, find the value of $y$.", "role": "user" }, { "content": "Step 1...
[ { "content": "Write Python code to solve the task.\nThe sports centre needs repair. Vandals have been kicking balls so hard into the roof that some of the tiles have started sticking up. The roof is represented by r.\n\nAs a quick fix, the committee have decided to place another old roof over the top, if they c...
[ { "content": "Write Python code to solve the task.\nOrac is studying number theory, and he is interested in the properties of divisors.\n\nFor two positive integers a and b, a is a divisor of b if and only if there exists an integer c, such that a⋅ c=b.\n\nFor n ≥ 2, we will denote as f(n) the smallest positive...
[ { "content": "Write Python code to solve the task.\nOur friend Monk has an exam that has quite weird rules. Each question has a difficulty level in the form of an Integer. Now, Monk can only solve the problems that have difficulty level less than X . Now the rules are-\nScore of the student is equal to the maxi...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\na milk man has 20 liters of milk . if he mixes 5 liters of water , which is freely ava...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nNeeley bought a loaf of bread from the store and sliced it into x pieces. His family a...
[ { "content": "Write Python code to solve the task.\nThe History of Magic is perhaps the most boring subject in the Hogwarts school of Witchcraft and Wizardry. Harry Potter is usually asleep during history lessons, and his magical quill writes the lectures for him. Professor Binns, the history of magic teacher, ...
[ { "content": "Write Python code to solve the task.\nLuke is daydreaming in Math class. He has a sheet of graph paper with $n$ rows and $m$ columns, and he imagines that there is an army base in each cell for a total of $n\\cdot m$ bases. He wants to drop supplies at strategic points on the sheet, marking each d...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\na train crosses a platform of 160 m in 15 sec , same train crosses another platform of...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nBriar is attending a one-week community empowerment event and has to take a cab ride to the event and back home every day. A cab ride costs $2.5 per mile. I...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOne of Euler's conjectures was disproved in the 1960s by three American mathematicians when they showed there was a positive integer such that $133^5+110^5+...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nLard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperon...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nIf $x@y=xy-2x$, what is the value of $(5@3)-(3@5)$?", "role": "user" }, { ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nThree aluminum cans can be recycled to make a new can. How many new cans can eventuall...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\na merchant marks goods up by 60 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 20 % . ...
[ { "content": "Write Python code to solve the task.\n將以下的數值字串列表轉換成浮點數,並計算累積的產品值。\nlst = [\"3.7\", \"0.5\", \"2.6\", \"4.2\", \"1.9\", \"0.8\"]", "role": "user" }, { "content": "Step 1: Create a list to store the floating point numbers given in the string list.\nStep 2: Initialize a variable to store ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nJohn adopts a dog from a shelter. The dog ends up having health problems and this req...
[ { "content": "Write Python code to solve the task.\nRobbers, who attacked the Gerda's cab, are very successful in covering from the kingdom police. To make the goal of catching them even harder, they use their own watches.\n\nFirst, as they know that kingdom police is bad at math, robbers use the positional num...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nTricia is a third of Amilia’s age and Amilia is a quarter of Yorick’s age. Yorick is t...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\na batsman ' s avg in 12 innings is 24.00 . if his avg is to be double of the no of inn...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\ncompany z has 53 employees . if the number of employees having birthdays on wednesday ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nHow many distinct $x$-intercepts does the graph of $y = (x-5)(x^2+5x+6)$ have?", "...
[ { "content": "Write Python code to solve the task.\nMaksim has n objects and m boxes, each box has size exactly k. Objects are numbered from 1 to n in order from left to right, the size of the i-th object is a_i.\n\nMaksim wants to pack his objects into the boxes and he will pack objects by the following algori...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\n6 animals of a circus has to be placed inside in 6 cages one in each cage . if 4 of the cage are too small for 6 of the animal then find the number of ways ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nGiven the following table:\nTable title: Track team sizes (number of members)\nTable: ...
[ { "content": "Write Python code to solve the task.\nIn a village far far away, lived a farmer named Zico. He was finding it difficult to make his two ends meet and hence, approached the god of grains, Azure. Azure granted him a blessing:\n\"I shall grant thou P units of food initially . After every year, tho...
[ { "content": "Write Python code to solve the task.\nPlease peruse the subsequent text passage and engage in mental analysis to discern the presence of any flamboyant or excessively illustrative expressions. If such language is detected, your response should be denoted as \"Present\". Conversely, if this decorat...
[ { "content": "Write Python code to solve the task.\nFind a*b, for all given number pairs\n\nSAMPLE INPUT\n5\n4 6\n3 7\n\nSAMPLE OUTPUT\n24\n21", "role": "user" }, { "content": "Step 1: To solve this problem, we need to go through several steps.\nStep 2: First, we need to take the input value for t...
[ { "content": "Write Python code to solve the task.\nLet's expand our linguistic skills by taking the following English expressions, \"Hello\", \"Thank You\", and \"Goodbye\", and convert them into their Spanish counterparts. Could you assist with this?", "role": "user" }, { "content": "Step 1: The f...
[ { "content": "Write Python code to solve the task.\nConsider the following well known rules:\n\n- A number is divisible by 3 if the sum of its digits is divisible by 3. Let's call '3' a \"1-sum\" prime\n- For 37, we take numbers in groups of threes from the right and check if the sum of these groups is divisibl...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nWhat real number is equal to the expression $2 + \\frac{4}{1 + \\frac{4}{2 + \\frac{4}{1 + \\cdots}}}$, where the $1$s and the $2$s alternate?", "role":...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nSuppose that $f(x)$ is a linear function satisfying the equation $f(x) = 4f^{-1}(x) + 6$. Given that $f(1) = 4$, find $f(2)$.", "role": "user" }, { ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nFind the number of moles of CO2 formed on combining 3 moles of HCl and 3 moles of NaHC...
[ { "content": "Write Python code to solve the task.\nYou have given a non-empty string. This string can consist of lowercase and uppercase english alphabets. Convert the string into an alternating sequence of lowercase and uppercase characters without changing the character at the 0th index.\nExample 1:\nInput:\...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nA student must choose a program of four courses from a list of courses consisting of E...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nmachine p and machine q are each used to manufacture 660 sprockets . it takes machine p 10 hours longer to produce 660 sprockets than machine q . machine q ...
[ { "content": "Write Python code to solve the task.\nYou're fed up about changing the version of your software manually. Instead, you will create a little script that will make it for you.\n\n# Exercice\n\nCreate a function `nextVersion`, that will take a string in parameter, and will return a string containing ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nTo be able to walk to the center $C$ of a circular fountain, a repair crew places a 16-foot plank from $A$ to $B$ and then a 10-foot plank from $D$ to $C$, ...
[ { "content": "Write Python code to solve the task.\nAppleman and Toastman play a game. Initially Appleman gives one group of n numbers to the Toastman, then they start to complete the following tasks:\n\n * Each time Toastman gets a group of numbers, he sums up all the numbers and adds this sum to the score. T...
[ { "content": "Write Python code to solve the task.\nYou're playing a game with a friend involving a bag of marbles. In the bag are ten marbles:\n\n* 1 smooth red marble\n* 4 bumpy red marbles\n* 2 bumpy yellow marbles\n* 1 smooth yellow marble\n* 1 bumpy green marble\n* 1 smooth green marble\n\nYou can see that...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nJames has x more than 2 times the number of Oreos Jordan has. If there are 36 Oreos t...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nBogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to throw out the rest. Later that day, she tried feeding again and the bee...
[ { "content": "Write Python code to solve the task.\nYour task is to return the number of visible dots on a die after it has been rolled(that means the total count of dots that would not be touching the table when rolled)\n\n6, 8, 10, 12, 20 sided dice are the possible inputs for \"numOfSides\" \n\ntopNum is equ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSquares of side length 1 are arranged to form the figure shown. What is the perimeter ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $a,$ $b,$ $c,$ $d$ be real numbers, none of which are equal to $-1,$ and let $\\omega$ be a complex number such that $\\omega^3 = 1$ and $\\omega \\neq ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nAnika has 4 more than twice the number of pencils as Reeta. If Reeta has x pencils, Th...
[ { "content": "Write Python code to solve the task.\nYou certainly can tell which is the larger number between 2^(10) and 2^(15).\n\nBut what about, say, 2^(10) and 3^(10)? You know this one too.\n\nThings tend to get a bit more complicated with **both** different bases and exponents: which is larger between 3^(...
[ { "content": "Write Python code to solve the task.\nGargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he should find the length ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nLet $x,$ $y,$ and $z$ be nonnegative real numbers such that $x + y + z = 5.$ Find the...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nTwo cards are dealt from a standard deck of 52 cards. What is the probability that th...
[ { "content": "Write Python code to solve the task.\nChef has gone shopping with his 5-year old son. They have bought N items so far. The items are numbered from 1 to N, and the item i weighs Wi grams.\nChef's son insists on helping his father in carrying the items. He wants his dad to give him a few items. Chef...
[ { "content": "Write Python code to solve the task.\nTo quickly hire highly skilled specialists one of the new IT City companies made an unprecedented move. Every employee was granted a car, and an employee can choose one of four different car makes.\n\nThe parking lot before the office consists of one line of (...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the minimum value of $\\sin^4 x + \\cos^4 x.$", "role": "user" }, { "content": "Step 1: We are given the expression $\\sin^4 x + \\cos^4 x...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGive an example of a quadratic function that has zeroes at $x=2$ and $x=4$, and that takes the value $6$ when $x=3$.\n\nEnter your answer in the expanded fo...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nA club has 10 members, 5 boys and 5 girls. Two of the members are chosen at random. ...
[ { "content": "Write Python code to solve the task.\nChef is playing an easier variation of the board game ‘Risk’ with his friend Mike. There is an $N * M$ grid, depicting the world map. Each cell of the grid is either $1$ or $0$ where $1$ denotes that there is land on this cell, while $0$ denotes water. \n\nIn ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the mass percentage of O in CO", "role": "user" }, { "content": "Step 1: To find the mass percentage of oxygen (O) in carbon monoxide (CO)...
[ { "content": "Write Python code to solve the task.\nOn the occasion of 66^th Republic day, a young lad, Lemon Kumar (a.k.a Yaar Kumar), is revising his speech again and again to remember it. He found that some of the letters in his\nspeech is repeated quite often. Being very fond of programming, like the Chef, ...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nCompute\n\\[\\sum_{k = 1}^\\infty \\frac{6^k}{(3^k - 2^k)(3^{k + 1} - 2^{k + 1})}.\\]", "role": "user" }, { "content": "Step 1: We are given th...
[ { "content": "Write Python code to solve the task.\nYou are given a string S, convert it into a magical string.\nA string can be made into a magical string if the alphabets are swapped in the given manner: a->z or z->a, b->y or y->b, and so on. \n \nNote: All the alphabets in the string are in lowercase.\n \nE...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThree marbles are randomly selected, without replacement, from a bag containing two red, two blue and two green marbles. What is the probability that one ma...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFind the number of moles of H2SO4 formed on combining 1 mole of SO2 and 1 mole of H2O2", "role": "user" }, { "content": "Step 1: First, we need ...
[ { "content": "Write Python code to solve the task.\nIn this Kata, we are going to determine if the count of each of the characters in a string can be equal if we remove a single character from that string.\n\nFor example:\n```\nsolve('abba') = false -- if we remove any character, the count of each character wil...
[ { "content": "Write Python code to solve the task.\nAfter minting loads of money from innocent people by using the psychic powers (As we saw in the previous question!) - little Jhool managed to woo his girlfriend big Jhool! And now, he's in love - madly, madly in love with his girlfriend. \n\nBut the road to lo...
[ { "content": "Write Python code to solve the task.\nCreate a Python script to generate a password that meets the following criteria: length of 8 characters, includes at least one uppercase, one lowercase and one numeric character.", "role": "user" }, { "content": "Step 1: Specify the password criter...
[ { "content": "Write Python code to solve the task.\nThe country of Byteland contains $N$ cities and $N-1$ bidirectional roads. There is a path between any two cities. The roads in Byteland were built long ago, and now they are in need of repair. You have been hired to fix all the roads. You intend to do this by...
[ { "content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe set of points with spherical coordinates of the form\n\\[(\\rho, \\theta, \\phi) = \\left( 1, \\theta, \\frac{\\pi}{6} \\right)\\]forms a circle. Find ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nvirginia , adrienne , and dennis have taught history for a combined total of 75 years ...
[ { "content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nThe square with vertices $(-a, -a), (a, -a), (-a, a), (a, a)$ is cut by the line $y = ...
[ { "content": "Write Python code to solve the task.\nComplete the function that takes a non-negative integer `n` as input, and returns a list of all the powers of 2 with the exponent ranging from 0 to `n` (inclusive).\n\n## Examples\n\n```python\nn = 0 ==> [1] # [2^0]\nn = 1 ==> [1, 2] # [2^0, 2^1]\...
[ { "content": "Write Python code to solve the task.\nEveryone knows that hobbits love to organize all sorts of parties and celebrations. There are n hobbits living in the Shire. They decided to organize the Greatest Party (GP) that would last for several days. Next day the hobbits wrote a guest list, some non-em...
[ { "content": "Write Python code to solve the task.\nChef had a sequence of positive integers with length $N + K$. He managed to calculate the arithmetic average of all elements of this sequence (let's denote it by $V$), but then, his little brother deleted $K$ elements from it. All deleted elements had the same...
[ { "content": "Write Python code to solve the task.\nImagine that you have an array of 3 integers each representing a different person. Each number can be 0, 1, or 2 which represents the number of hands that person holds up.\n\nNow imagine there is a sequence which follows these rules:\n* None of the people have...
[ { "content": "Write Python code to solve the task.\nTakahashi's house has only one socket.\n\nTakahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets.\n\nOne power strip with A sockets can extend one empty socket into A empty sockets.\n\nFind the minimum ...
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