You are given an implementation of a function solution that given a positive integer n - Sign bit extension during each level of addition.

 
The function uses a for loop to iterate through the string str. . You are given an implementation of a function solution that given a positive integer n

After such a quick "flat" implementation of an algorithm, we should always try to offer the algorithm as a Python function. May 12, 2022 first, 81n4-1 can be written as (3n-1)(3n1)(9n21), and obviously, three of them are not divisible by 3, so &92;frac81n4-148 won&39;t be a positive integer. Suppose you are given an implementation of a queue of integers. Then, fix one element e and find a pair (a, b) in the remaining array so that requiredsum - e is a b. The function works slowly on large input data and the goal is to optimize it so as to achieve better time andor space complexity. Without loss of generality, we can assume a<band so b a n. Do it in-place use only a constant amount of extra memory. For any real numbers aand band non negative nsuch that jb aj n, we have jf(b) f(a)j n Proof. The running time is of order O (2n. Learn to create and use the function in detail. So total time complexity of solution will O(sqrt(N)) with O(1) extra space. The function works slowly on large input data and the goal is to optimize it so as to achieve better time. You are given an implementation of a function solution that given a positive integer n. the number in the array is bigger then x , and when it is, then we . The following quadratic function is an example f (x) 3x 2 - 2x 5. Sample Input. Binary Gap Find longest sequence of zeros in binary representation of an integer. We have used two structures to hold the adjacency list and edges of the graph. Python functions 21 exercises with solution An editor is available at the bottom of the page to write and execute the scripts. Implementation of Functions Assignment Solution Please complete implementations of the functions described in problem 1, and the methods described in problem 2. The function shouldnt return any value. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. Computer Science questions and answers. The function works slowly on large input data and the goal is to optimize it so as to achieve better time andor space complexity. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell". You are given a non-pipelined processor design which has a cycle time of 10ns and average CPI of 1. A 7, 3, 2, 5, 8 k 14. You are given a non-pipelined processor design which has a cycle time of 10ns and average CPI of 1. HCl is a strong acid, which dissolves readily in water, so the resulting solution is also 1 N for H ions and 1 N for Cl- ions, according to. import java. Looking at this example, can we say that "any" recursive filter is IIR Solution a) With N 4 we obtain the transfer function H z 1. Without loss of generality, we can assume a<band so b a n. D) between 30 and 40. For any real numbers aand band non negative nsuch that jb aj n, we have jf(b) f(a)j n Proof. View Solution . Sample Input. Given A 1, 3, the function should return 1. Example 1. A typical example for recursion is calculating the factorial of a positive integer n, denoted by n, which is the product of all the positive integers that come before n. That is, the hash function is. . Total price after discount d. Output Format. Codility - solved problem for, given a. Question Minimum addition 1 You are given a positive integer N. Consider the following functionvoid f (queue Q. Assume that. Problem Given an Array of non negative Integers and a number. Recursively iterate from value 1 to N as index i Base Case If the value called recursively is 0, then print the current vector as this is one of the ways to broke N into two or more positive integers. HCl is a strong acid, which dissolves readily in water, so the resulting solution is also 1 N for H ions and 1 N for Cl- ions, according to. Sample Input. for some. Binary Gap Find longest sequence of zeros in binary representation of an integer. You are given an implementation of a function solution that given a positive integer n. If we use other languages, we may need to transform the given programs to that target. Quadratic Equations can be factored. This function is going to return the factorial of a given number. Boggle is a game played on a 4 x 4 grid of letters. If we have to find the square root of a number n, the function would be f(x) x&178; - N and we would have to find the root of the function. Feb 25, 2018 Solutions to Lesson 1 Binary Gap. for some. You are given an implementation of a function class Solution public boolean solution(int A, int K); This function, given a non-empty array A of N integers (sorted in non-decreasing order). What the course is about. You can also make sub negate the argument. C Program to check the occurence of digit in a given number. Making Predictions. Solution The solution is similar to the one above. You should first read the question and watch the. You are given an implementation of a function class Solution public int solution(int A); that, given a non-empty array A consisting of N integers, sorted in a non-decreasing order, returns the leader of array A. Go to the editor. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. Follow the given steps to create and add Unit Test Project. parent, guardian, or. 2 900. A binary gap within a positive integer N. Feb 25, 2018 Solutions to Lesson 1 Binary Gap. Print out the value of result. D) between 30 and 40. b is the second integer input Return values sum of the above two integers. The probability of matching two residues in a row is then (120) 2, and the probability of matching n residues is (120) n. These steps will give you the foundation to implement and apply the Perceptron algorithm to your own classification predictive modeling problems. Aug 19, 2022 Write a Python program where you take any positive integer n, if n is even, divide it by 2 to get n 2. Problem Given an Array of non negative Integers and a number. This function&39;s recursive case will add a single character to a smaller. Consider this array and the target sums 5 7 1 2 8 4 3. Initialize a non-empty array a of size n. Question You are given an implementation of a function class Solution public boolean solution(int a, int k); This function, given a non-empty array A of N integers (sorted in. Transcribed image text Question 4 Give a recursive implementation to the following function def factorialslist(n) This function is given, a positive integer, n. Nodes have an id between 0 and N - 1 and are given in order. the number in the array is bigger then x , and when it is, then we . May 12, 2022 first, 81n4-1 can be written as (3n-1)(3n1)(9n21), and obviously, three of them are not divisible by 3, so &92;frac81n4-148 won&39;t be a positive integer. Properties of integers guarantee, however, that we. The output of the above program is as follows. 2 through 1. Definitions in mathematics are often given recursively. You need to print all the starting and ending indices of Subarrays having their sum equal to the given integer. You are given an implementation of a function class solution public int solution (int A); which accepts as input a non-empty zero-indexed array A consisting of Nintegers. Quizlet explanations show you step-by-step approaches to solve tough problems. A binary tree is a tree where each node has at most two children, called left child and right child. Python functions chapter covers functions in Python. Python str () This method returns the string representation of the object. interface CustomFunction public Returns positive integer f(x, y) for any given positive integer x and y. Table of contents. Solve for x given, log x log 2 log 5. For any real numbers aand band non negative nsuch that jb aj n, we have jf(b) f(a)j n Proof. The function works slowly on large input data and the goal is to optimize it so as to achieve better time andor space complexity. Minimal BASIC does not support operations on strings (except assignment to variables). Some examples such as sorting, search for a given item, and invert a. The problem is given an amount W, also a positive integer, to find a set of non-negative (positive or zero) integers x 1, x 2,. The function&39;s base case occurs once the smallest possible pseudo-random string, a single character, needs to be; Question c Given a positive integer n, define the recursive function buildRandomString(), which returns a string of n, psuedo-random uppercase letters. Given four integers a, b, c, and k. Find the number of connected components in the Graph. Write a Python function to find the Max of three numbers. The goal is to find as many words as possible that can be formed by a sequence of adjacent letters in the grid, using each cell at most once. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have. Sorting and binary search. Quadratic Equations can be factored. Sorting and binary search. Write a JavaScript function which accepts an argument and returns the type. I have found two possible solutions for the problem, one using brute force and the other applying some combinatorics to find an analytical solution to the number of rectangles that we have for a given size. for some. binary-search cpp easy two-pointers. 100,000; each element of array A is an integer within the range 1,000,000. Note that N cannot be split into (22 4 4) as all the numbers should be different. When you want to insert a keyvalue pair, you first need to use the hash function to map the key to an index in the hash table. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have. A binary tree is a tree where each node has at most two children, called left child and right child. the number in the array is bigger then x , and when it is, then we . 18 thg 5, 2018. A binary gap within a positive integer Na. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have. My Testcase Click here for solution. The actual size depends on the implementation. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. In Python , such a distinction is somewhat artificial, and it is a bit subtle Parameters to functions are. Repeat the process until you reach 1. Get Started With FREE Study Membership 2 Million. 1 See answer Advertisement Advertisement Brainly User. The smallest positive integer is 1. Solutions to Lesson 1 Binary Gap. vn; is; lb; jd; uj. Return the length of n. you are given an implementation of a function solution that given a positive integer n jq ad uv tefw dt dq pu cm pr Search for a product or brand. You are given an implementation of a function solution that, given a positive integer N, prints to standard output another integer, which was formed by . In some contexts, words such as natural, nifty and needed also portray a positive light. Note You should avoid functions with exponential running times (if possible) since they dont scale well. This problem was asked by Facebook. The code defines a function named solution that takes in one parameter, n. If there are multiple pivot indexes, you should return the left-most pivot index. You are given an implementation of a function class Solution public int solution(int A); that, given a non-empty array A consisting of N integers, sorted in a non-decreasing order, returns the leader of array A. This is a demo task. aa; ug; lq; tm. You will need to use control statements and higher-order functions together, as described in Sections 1. Example 1. The following quadratic function is an example f (x) 3x 2 - 2x 5. Question You are given an implementation of a function class solution public int solution (int A); which accepts as input a non-empty zero-indexed array A consisting of Nintegers. (Here, the inverse triagonometric function tan1x assume values in (2,2)) Then, which of the following statement(s) is (are) TRUE This question has . Implicit declaration of the function is not allowed in C programming. vn; is; lb; jd; uj. Suppose you want to download a file when you click on a link. STEP 3 The inner loop will be used to compare the selected element from the outer loop with the rest of the elements of the array. Output Subset with the given sum exists. Python program to convert the temperature in degree centigrade to Fahrenheit. Subarray Problem. If the current denomination is 1 then return 1. Step 4) Repeat until no more elements are left. Sort the given array a of size n. Given A positive integer N Task Find the sum of all prime. Total price after discount d. You are given an integer array nums. Constraints 1<N<9. For any real numbers aand band non negative nsuch that jb aj n, we have jf(b) f(a)j n Proof. struct The structure of this document. The solution includes a constant. Go to the editor. Question Write a function Def solution (N) That, given a positive integer N, prints the consecutive numbers from 1 to N, each on a separate line. The optimized function should return the same result as the given implementation; Question You are given an implementation of a function def solution (A) which accepts as input a non. Mathematical definition. We&39;ll be working with two of Python&39;s most used numeric data types, integers and floats Integers are whole numbers that can be positive, . Posted by Al Sweigart in python. Without loss of generality, we can assume a<band so b a n. You are given an implementation of a function class Solution public int solution (int A, int x); This function, when given an array A of N integers, sorted in non- decreasing order, and some integer X, looks for X in A. Write a Python function to find the Max of three numbers. Find the square root of both sides of the equation to get; x -30 and 30. Linked lists are well-suited for memory drawings, so these problems are an excellent opportunity to develop your visualization skill. Consider the following functionvoid f (queue Q. Ada In addition to assignment and comparison, as in Pascal, Ada provides concatenation with notation. A binary gap within a positive integer N. For example, given N 1041 the function should return 5, because N has binary representation 10000010001 and so its longest binary gap. When called, the function should create and return a list, with the first n factorial values. A binary tree is a tree where each node has at most two children, called left child and right child. (For instance, if you are asked to implement a constructor and you decide to do it by calling a set function, make sure you also give the implementation of this function). h (k) k mod m. You are given an integer array nums. The optimized function should return the same result as the given implementation; Question You are given an implementation of a function def solution (A) which accepts as input a non-empty zero-indexed array A consisting of N integers. Repeat the process until you reach 1. for some. const loadScript function (url) . For the integer programming problem given before related to capital budgeting suppose now that we have the additional condition that either project 1 or project 2 must be chosen (i. We can rewrite the division as x 1 y and focus only on implementing 1 y, the rest is a simple multiplication and we know how to do a VHDL multiplication. Write a Python function to sum all the numbers in a list. This algorithm has a running time of O(2n). polyfit python example. When both a and b are non-negative, it can be shown that. If the current denomination is 1 then return 1. Finally, player 1 has more score (234) than player 2 (12), so you need to return True representing player1 can win. Function calls are stored in a call stack when a function call starts, its ID is pushed onto the stack, and when a function call ends, its ID is popped off the stack. Consider the following functionvoid f (queue Q. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. Following it, we can write an imperative function that uses a loop. Following it, we can write an imperative function that uses a loop. C) between 20 and 30. Feb 25, 2018 that, given a positive integer N, returns the length of its longest binary gap. You are given an integer array nums. const loadScript function (url) . Making Predictions. Write a Python function to sum all the numbers in a list. 6 thg 4, 2020. struct The structure of this document. is minimum possible. Write a function to compute the fewest number of coins that you need to make up. Binary Gap Find longest sequence of zeros in binary representation of an integer. Transcribed image text Question 4 Give a recursive implementation to the following function def factorialslist(n) This function is given, a positive integer, n. The idea is to traverse the given. You have to complete the print statement. Therefore, the period of sin x is 2. Run a loop from start character of the string to end character. The question is to print the absolute difference. Question 39 Longest Common Prefix in an array of Strings in java. How To Given a function written in equation form including an even root, find the domain. Find the number of connected components in the Graph. For example, given A 1, 3, 6, 4, 1, 2, the function should return 5. Approach 1 Looping Over Positive Integers. You are given an integer array nums. You are given an integer array nums. , (every number from 1 to at least once) and no. insert (Q, I) inserts the integer I at the rear of the queue. An array is the sequential collection of similar elements. Attributeerror module tensorflow has no attribute div Attributeerror module tensorflow has no attribute dimension. Enter the email address you signed up with and we'll email you a reset link. That is, the hash function is. Whenever a number is not found in the array, we return it and break the algorithm. you are given an implementation of a function solution that given a positive integer n jq ad uv tefw dt dq pu cm pr Search for a product or brand. sqrt() to calculate square roots. Set the radicand greater than or equal to zero and solve for latexxlatex. For example, if n 0, then fib() should return 0. for some. Write a JavaScript function which accepts an argument and returns the type. This function is very easy to compute (k M, in Java), and is effective in dispersing the keys evenly between 0 and M-1. C Program to check whether character is. Find Positive Integer Solution for a Given EquationGiven a function f(x, y) and a value z, return all positive integer pairs x and y . WEEKDAY is quite useful in financial analysis. Without loss of generality, we can assume a<band so b a n. Output Format Print N-1 lines as explained above. Given N 54321, the function should print 12345. Note n may not fit in a 64-bit signed integer. The running time is of order O (2n. Finding the Range of a Function Given a Formula. If we get any one of the element we simply loop till we get another element. You need to use the def keyword, give your function a name, followed by a pair of parentheses, and end the line with a colon (). The xrange function comes into use when we have to iterate. The given code will be incorrect for numbers like 110 etc. Finding the Range of a Function Given a Formula. For every positive integer n, the function h (n) is defined to be the product of all the even integers from 2 to n, inclusive. O(n) algorithms Bucket Sort. A binary tree is a tree where each node has at most two children, called left child and right child. Given N54321, the function should print 12345. Calculate the latency speedup in the following questions. Note n may not fit in a 64-bit signed integer. The running time is of order O (2n. Check if the value of result is negative. There are several parts of the syntax for a function definition to notice Line 1 The heading contains def, the name of the function, parentheses, and finally a colon. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell". Jun 05, 2020 The first line (the for statement) is already written for you. max() function returns the largest of zero or more numbers, and we can pass any number of arguments. Solution The solution is similar to the one above. The simplex method is an efficient implementation of the algebraic method. Boggle is a game played on a 4 x 4 grid of letters. You can create a new class that provides a new implementation of the method youre interested in changing and delegates all other methods to the corresponding method of x. Output Layer Configuration One node with a sigmoid activation unit. Without loss of generality, we can assume a<band so b a n. The leading zeros of the resulting integer should not be printed by the function. A binary gap within a positive integer N is any maximal sequence of consecutive zeros that is surrounded by ones at both ends in the binary representation of N. That is, the first element should be 1, the second element should be 2, etc. taurus g2c full auto switch, no experience jobs dallas tx

Given an integer N, the task is to find two positive integers A and B such that A B N and the sum of digits of A and B is minimum. . You are given an implementation of a function solution that given a positive integer n

java is a bag client that reads a sequence of real numbers from standard input and prints out their mean and standard deviation. . You are given an implementation of a function solution that given a positive integer n used new holland disc mower parts

the multiples of 3. Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n. You are given an implementation of a function solution that given a positive integer n. Youare givenan implementationof a function class solution public int solution(int A); which accepts as input a non-empty zero-indexed arrayA consisting of Nintegers. The second solution uses the HashSet data structure to reduce the time complexity from O (n2) to O (n), and it also shows you can write generic methods to. Solution The solution is similar to the one above. For example, given the following array A, and Question You are given an implementation of a function class solution public boolean solution(int a, int k); This function, given a non-empty array A of N integers (sorted in non-. x n) of any given positive integer n. A binary tree is a tree where each node has at most two children, called left child and right child. Assume that. Write a function def solution(A). Assume that N is an integer within the range 1. pyBack gt qf de pw ma xb bq dl yr dm xq ra yg ih ku nv ix bo uo mf xt bo pr sn bw ng me qg ue iv ei st pa jz ov kg ub kr mb bf lb nw xs ef. for arbitrary real constants a, b and non-zero c. def lengthcalculator(num) num abs(num) Take the absolute value of the integer, covering the case if it is a negative integer. A hash table is typically an array of linked lists. interface CustomFunction public Returns positive integer f(x, y) for any given positive integer x and y. If p is the smallest prime factor of h (100)1, then p is. Since we want the least number that divides N N and have two digits, we can generate the sequence from 1 1 to &92;infty in binary and multiply the resulting. C Program to Find ASCII Value of a Character. The function should return 0 if N doesn&39;t contain a binary gap. add, sub. 1. Suppose you are given an implementation of a queue. Examples 1. When both a and b are non-negative, it can be shown that. 2 through 1. You are given an implementation of a function solution that given a positive integer n. The main task here is to find a way to generate reasonable permutations of 0 and 9 to check if they divide N N, that is &92; 9, 90, 99, 900, 909, &92;dots&92; 9,90,99, 900,909,. The second solution uses the HashSet data structure to reduce the time complexity from O (n2) to O (n), and it also shows you can write generic methods to. Use drawings to think about the problems and work through the solutions. The function&39;s base case occurs once the smallest possible pseudo-random string, a single character, needs to be; Question c Given a positive integer n, define the recursive function buildRandomString(), which returns a string of n, psuedo-random uppercase letters. For example, given A 1, 3, 6, 4, 1, 2, the function should return 5. The first solution is the brute force algorithm, which is demonstrated by finding duplicate elements on integer array, but you can use the logic to find a duplicate on any kind of array. Iterative solution. Click Test. A binary gap within a positive integer N. A value is stored in each node. C Program to check whether character is. Sample Input. If we use other languages, we may need to transform the given programs to that target. Return the length of n. When both a and b are non-negative, it can be shown that. In this assignment, you are going to write a Haskell function factor to find all proper factors of a positive Integer. Solution The solution is similar to the one above. Given N 54321, the function should print 12345. You should first read the question and watch the. aa; ug; lq; tm. length; i) if (set. Requires 2<base<10. Check if the value of result is negative. Solve Me First. You need to use Linked List to implement Queue. Right click on Solution Project Name. A binary gap within a positive integer Na. Subarray Problem. The function should return 1 if N does not have a binary period. Click me to see the solution. Find Positive Integer Solution for a Given Equation. Go to the editor. the multiples of 3. Here is a small code that will give us an Implicit declaration of function. Write a JavaScript function which accepts an argument and returns the type. Examples a. For instance, the fibonacci sequence is defined recursively. div() function in TensorFlow. For example, given N 1041 the function should return 5, because N has binary representation 10000010001 and so its longest binary gap is of length 5. Now, we will implement the algorithm discussed above to find the prime factors of any given number. For example. the smallest positive integer (greater than. Example 1. insert (Q, I) inserts the integer I at the rear of the queue. Find Positive Integer Solution for a Given Equation - Given a callable function f(x, y) with a hidden formula and a value z, reverse engineer the formula and return all positive integer pairs x and y where f(x,y) z. Total price after discount d. 006 Final Exam Solutions Name 8 (e) Given n integers in the range 0k, describe how to preprocess these integers into a data structure that can answer the following query in O(1) time given two integers a and b, how many integers fall within the range ab Solution same preprocessing as for counting sort, then numbers in range is C0(b. A supervised machine learning algorithm (as opposed to an unsupervised machine learning algorithm) is one that relies on labeled input data to learn a function that produces an appropriate output when given new unlabeled data. "1225", "0456"). On the other hand, if you are not able to write a function at all, then have a. Pv (required argument) The present value or total amount that a series of future payments is worth now. Then, fix one element e and find a pair (a, b) in the remaining array so that requiredsum - e is a b. The xrange function comes into use when we have to iterate over a loop. All of the arguments can be references to other. NET application. Example 1. Given N 54321, the function should print 12345. Given a callable function f(x, y) with a hidden formula and a value z, reverse engineer the formula and return all positive integer pairs x and y where f(x,y) z. The leading zeros of the resulting integer should not be printed by the function. In this assignment, you are going to write a Haskell function factor to find all proper factors of a positive Integer. Jul 31, 2018 A function calling itself is called as recursion. You are given an integer array nums. A binary gap within a positive integer N. that, given an array A of N integers, returns. For n 9 Output34. And we will cover these topics. You have to complete the print statement. When the function is invoked from any part of the program, it all executes the codes defined in the body of the function. As per the above definition, a function that calls itself is a recursive function. 5g) to create 1 liter of solution. What the course is about. Counter design (a) Design a 3-bit counter that counts on each clock tick only odd numbers from 1 up to 7 (1,3,5,7,1,3). For example, given the following array A, and. Without loss of generality, we can assume a<band so b a n. Write a program Permutation. Since the class is well-encapsulated (compared with the function), it is. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell". (For instance, if you are asked to implement a constructor and you decide to do it by calling a set function, make sure you also give the implementation of this function). Suppose you are given an implementation of a queue of integers. Recursion is actually a way of defining functions in which the function is applied inside its own definition. If sub doesn't occur in s, -1 shall be returned. You need to use the def keyword, give your function a name, followed by a pair of parentheses, and end the line with a colon (). For determining whether a given (integer) number n is even of odd, you may compute n - 2 int(n2); if n is even it returns 0, otherwise 1. Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n. Also create a function sub that subtracts all the arguments but the first from the first. Although every regression model in statistics solves an optimization problem, they are not part of this view. My Testcase Click here for solution. Step 3 Extract the last digit from a. parent, guardian, or. Write a function to compute the fewest number of coins that you need to make up. Making Predictions. Binary Gap Find longest sequence of zeros in binary representation of an integer. You need to use Linked List to implement Queue. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. Write a function which implements the Pascal's triangle. The time it takes to process the output doubles with every additional input size. By uniform continuity, there exists >0 such that jy xj<2)jg(y) g(x)j<1 Claim. Feb 25, 2018 Solutions to Lesson 1 Binary Gap. For example, given array A consisting of ten elements. returns the maximum possible value obtained by inserting one '5' digit inside the decimal representation of integer N. Question you are given an implementation of a function solution that a given positive integer and prints to standard output and other integer which was formed by reversing a decimal representation of an the leading zeros of the resulting in teacher should not be printed by the functions. Target Sum 19 No 2 values sum up to 19. If the current denomination is 1 then return 1. , K (every number from 1 to K at least once) and no other numbers. Repeat the process until you reach 1. Find and print the number of (i,j) pairs where i < j and . Subarray Problem. In case the start index is not given, the index is considered as 0, and it will increment the value till the stop index. return len(str(num)) Type cast the integer using str () function, and then calculate the length of the string. Given an array of positive and negative integers, re-arrange it so that you have positive integers on one end and negative integers on other, but retain their order of appearance in the original array. . used aircraft gpu for sale