instruction_seed stringlengths 17 40.5k | source stringclasses 10
values |
|---|---|
What is the total number of distinct prime factors of \( 30 \) when expressed in the form \( \mathbb{Z}_n \) for \( n \) being a prime number? | automath |
What is the best known approximation factor for the uniform sparsest cut problem, and how could this factor potentially be improved? | automath |
Consider a discrete-time Markov chain with state space \( S = \{0, 1, 2, \ldots, k\} \). The transition probabilities are defined by
\[
p_{ij} =
\begin{cases}
\frac{i}{k} & \text{if } i = j \\
1 - \frac{i}{k} & \text{if } j = i + 1 \\
0 & \text{otherwise}
\end{cases}
\]
for \( i, j \in \{0, 1, \ldots, k\} \).
... | automath |
Go through the following list of car models, and print out only the names of all-electric vehicles. Additionally, if a car model has a range of less than 200 miles per charge, do not include it in the output. Instead of printing the names of the all-electric vehicles directly, create a new list and append the names of ... | codefeedback |
You are tasked with creating a reservation management system for a restaurant using Angular and TypeScript. The system should allow users to input the number of guests and the desired date and time for their reservation. The provided code snippet is a part of the reservation form component, which uses Angular's reactiv... | codefeedback |
A bakery sells a total of 500 loaves of bread per day. They offer a special promotion where they give away a free loaf of bread for every 5 loaves purchased. If the average customer buys 3 loaves of bread, how many customers do they need to serve in order to give away 50 free loaves of bread? | nvidia_math |
You are tasked with implementing a function that processes a list of issues from an issue tracker system and returns a summary of the issues based on their status. The issue tracker system provides a list of issues, each containing a title and a status. The function should return a summary that includes the count of is... | magicoder |
Given the following statements about Alex and chocolate:
1. \( \forall x (C(x) \implies L(a,x)) \): For all objects \( x \), if \( x \) contains chocolate, then Alex likes \( x \).
2. \( \forall x (C(x) \land L(a,x)) \): For all objects \( x \), \( x \) contains chocolate and Alex likes \( x \).
Is statement 2 a corr... | automath |
All factors of a positive integer A are multiplied and the product obtained is A^3. If A is greater than 1, how many factors does A have?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 6 (E) 8 | tiger_lab_math |
Simplify $1+(1-(1+(1-(1+x))))$. | tiger_math |
Given the functions \( x = f(t) = (t-1)^3 \) and \( y = g(t) = (t-1)^2 \), calculate the value of \( g'(t) \) at \( t = 1 \) and determine whether \( g'(1) \) is greater than, less than, or equal to 1. What is the conclusion based on this calculation? | automath |
You need to implement a GPU-accelerated ray tracer for rendering 3D scenes. The ray tracer should be capable of handling intersecting different 3D shapes such as mesh, sphere, plane, and cube. Additionally, the ray tracer should be able to efficiently compute lighting effects such as distant light and point light, as w... | glaive |
What is the code to optimize the arriving times of different buses in a city? | glaive |
You are working on a computer vision project and need to implement a function that filters and returns the largest contours based on their relative areas. The function takes in two arrays: `relative_areas` containing the relative areas of contours and `top_contours` containing the contours themselves. Additionally, the... | magicoder |
Please explain the following problem in detail and provide code in Scheme:
Given two strings `text1` and `text2`, return _the length of their longest **common subsequence**._ If there is no **common subsequence**, return `0`.
A **subsequence** of a string is a new string generated from the original string with some ch... | dolphin |
In a directed graph where vertices represent the integers 2, 3, 4, 6, and 8, draw an arrow from \( x \) to \( y \) if \( x \) divides \( y \). How many directed edges will be present in this graph? | automath |
Consider the Poisson equation given by
\[
- \Delta u = \delta(0,0)
\]
on a unit circle with homogeneous Dirichlet boundary conditions, where the exact solution is
\[
u(x,y) = -\frac{1}{2\pi} \log(r)
\]
and \( r = \sqrt{x^2 + y^2} \). What is the value of \( u(x,y) \) at the point \( (1,0) \) on the boundary of th... | automath |
What number, when 4/5 of it is taken, is smaller than 80% of 60 by 28? | tiger_math |
"statement 1": The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8 % p, "statement 2" :The compound interest earned by Sunil on a certain amount at the end of two years at the rate of more than 7 % p, "options: " Entailment or contradiction or neutral? Let's write a Pytho... | tiger_lab_math |
Is there a more efficient way to convert the contents of an array into a comma delimited string?
```ruby
emails = ["joe@example.com", "Peter@example.com", "alice@example.com"]
emails * ","
=> "joe@example.com", "Peter@example.com", "alice@example.com"
```
This works but I am wondering if there is a more elegant sol... | sharegpt |
My Alarm Clock Configuration
As an individual residing in the United States, my (digital) alarm clock operates under American timekeeping conventions. To adjust the alarm settings, it initializes from the last set time. Engaging the hour button advances the time by one hour, while activating the minute button increas... | evolcodegolf |
Create a program to determine the type of triangle given 3 side lengths. The program should also check if the triangle is valid.
For a triangle to be valid, the sum of any two sides must be greater than the third side. Additionally, the program should check if the triangle is a right triangle.
The program should dete... | codefeedback |
Create an ASCII representation of a cookie based on the specified type, taking into consideration the nuances of input processing and output formatting.
Input
The type of cookie, which must be one of the following three strings: "Plain", "Chocolate", or "Nuts". This could be supplied as function parameters, standard ... | evolcodegolf |
You are tasked with creating a GUI application using PyQt5 in Python. The application should consist of a main window with a vertical splitter containing two widgets: a widget for buttons (wbuts) and a widget for horizontal splitter (hspl). Additionally, the main window should have a box layout (mbox) that incorporates... | magicoder |
You are given a Python code snippet that defines a dictionary `positionEncoding` using the `defaultdict` from the `collections` module. The dictionary maps a digit to a list of two binary strings. Each binary string represents the encoding of the digit at a specific position. Your task is to write a function that takes... | magicoder |
You are tasked with implementing a simple audio processing system. The system has an Audio Manager class, AKManager, which can be configured to apply different audio effects to the input audio signal. The available audio effects are represented by different classes, such as flanger, reverb, and chorus. The AKManager ha... | magicoder |
The average of 30 numbers is 48. If three numbers namely 45, 55 and 43 are discarded, the average of remaining numbers is?
Answer Choices: (A) 47 (B) 47.03 (C) 48.03 (D) 48 (E) 49 | tiger_lab_math |
You are given a code snippet that uses a custom programming language called "Ath" and its interpreter "TildeAthInterp". Your task is to understand the given code and answer a question related to its behavior.
The code snippet initializes a statement list `stmts` and contains a series of Ath statements and loops. The s... | codefeedback |
Find the sum of all positive integral values of $m$ such that $m^2-22m+117=q$ for some prime number $q$. Note that there is at least one such $m$. | nvidia_math |
Please write the following solution using R:
You are given an `m x n` grid `grid` where:
* `'.'` is an empty cell.
* `'#'` is a wall.
* `'@'` is the starting point.
* Lowercase letters represent keys.
* Uppercase letters represent locks.
You start at the starting point and one move consists of walking one s... | dolphin |
Please focus on the algorithm of this problem and provide code in Erlang:
We stack glasses in a pyramid, where the **first** row has `1` glass, the **second** row has `2` glasses, and so on until the 100th row. Each glass holds one cup of champagne.
Then, some champagne is poured into the first glass at the top. When ... | dolphin |
Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Answer Choices: (A) A) 13.55 (B) B) 14.55 (C) C) 15.55 (D) D) 16.55 (E) E) 17.55 | tiger_lab_math |
In a circle of radius 10 cm, an equilateral triangle is inscribed such that the length of each side is a function of the angle formed by the radii to the vertices. Find the value of the angle such that the area of the triangle is half the area of the circle. | nvidia_math |
Implement a multivariate Polynomial Regression model on 'Boston House Pricing' Dataset provided in sklearn. Remove any outliers in the dataset through the Z-score method before processing. Compare your model's performance with a standard Linear Regression model by plotting the prediction errors against each other. Addi... | sharegpt |
Given that $\frac{1}{z} = 2-i$, find $z$ in standard form ($a + bi$). | nvidia_math |
port this code to Perl:
```csharp
public class Solution {
public int CountValidCombos(string[] pieces, int[][] positions, int index = 0) {
if (index == pieces.Length) {
return 1;
}
int r = positions[index][0];
int c = positions[index][1];
int[] dr = new i... | dolphin |
An industrial loom weaves 0.128 metres of cloth every second. It takes a certain amount of time for the loom to weave a certain amount of cloth. If it takes approximately 195.3125 seconds, how much cloth was woven? | tiger_math |
The concept of mapping stands as a fundamental yet pivotal operation in the realm of functional programming paradigms. While all functional programming languages provide this feature inherently, it is an intellectually stimulating endeavor to explore the brevity with which one can construct this functionality from the ... | evolcodegolf |
Please explain the following problem in detail and provide code in Erlang:
Design a text editor with a cursor that can do the following:
* **Add** text to where the cursor is.
* **Delete** text from where the cursor is (simulating the backspace key).
* **Move** the cursor either left or right.
When deleting tex... | dolphin |
Please focus on the algorithm of this problem and provide code in PHP:
Given the `root` of an n-ary tree, return _the postorder traversal of its nodes' values_.
Nary-Tree input serialization is represented in their level order traversal. Each group of children is separated by the null value (See examples)
**Example 1... | dolphin |
You are tasked with creating a Python function that processes a list of spans and performs various assertions on the attributes of these spans. Each span represents a request in a web application and contains attributes such as service, name, resource, span type, and error status. Your function should validate these at... | magicoder |
Write a code snippet to print out "Hello World" one million times, but each time the phrase should be randomly capitalized. Additionally, the code should also count the number of times the phrase starts with a capital letter and print out the final count at the end. | codefeedback |
Madeline has 10 flowers. If 4 flowers are red, 2 flowers are white, and the rest are blue, what percentage of flowers are blue? | tiger_math |
Please explain the reasoning behind the following solution and provide code in Perl:
A web developer needs to know how to design a web page's size. So, given a specific rectangular web page's area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:
1. T... | dolphin |
One US dollar is the equivalent of 7 Namibian dollars. One US dollar is also the equivalent of 6 Chinese yuan. If a painting costs 105 Namibian dollars, how much would it cost in Chinese yuan? Let's write a Python program to solve it. | tiger_lab_math |
You are tasked with implementing a program that solves a system of linear equations AX = B for X. The upper or lower triangular part of the matrix A is read from a data file, along with the matrix B. The program should then use the function zhpsvx to solve the system of equations and print the solution, error bounds, a... | glaive |
You are tasked with creating a TypeScript transformer that optimizes `if` statements by removing always falsy branches. The transformer should be able to detect and cancel out branches that are always false, such as those containing expressions that always evaluate to `false`, `true`, or basic string equality compariso... | magicoder |
Please explain the following problem in detail and provide code in Objective-C:
You are given an array of **distinct** positive integers locations where `locations[i]` represents the position of city `i`. You are also given integers `start`, `finish` and `fuel` representing the starting city, ending city, and the initi... | dolphin |
Find $AX$ in the diagram if $CX$ bisects $\angle ACB$.
[asy]
import markers;
real t=.56;
pair A=(0,0);
pair B=(3,2);
pair C=(.5,1.5);
pair X=t*A+(1-t)*B;
draw(C--A--B--C--X);
label("$A$",A,SW);
label("$B$",B,E);
label("$C$",C,N);
label("$X$",X,SE);
//markangle(n=1,radius=15,A,C,X,marker(markinterval(stickframe(n=1... | nvidia_math |
Design multiple functions that work in tandem to identify and return all palindrome words within a given paragraph instead of a single sentence. Additionally, provide a piece of erroneous code to correct and integrate into the final solution.
The erroneous code:
```python
def insert_string_mid(str, word):
return... | codefeedback |
What are some Python libraries released by the Mozilla foundation? | sharegpt |
Create a succinct program that maximizes output while minimizing code length, ensuring that any submissions generating infinite output are excluded from consideration. The victor will be determined by the optimal output size to code size ratio. Note that the evaluation will be conducted on my specific setup, which cons... | evolcodegolf |
I've implemented a trait on a struct in Rust, but now the struct type is not being found. Here's the code that was previously working:
```rust
trait SomeTrait {
fn new() -> Box<SomeTrait>;
fn get_some_value(&self) -> int;
}
struct SomeStruct {
value: int
}
impl SomeStruct {
fn new() -> Box<SomeStruct> {
... | sharegpt |
A triangle has an area of 10 square centimeters. Its height is equal to the length of one of its sides. Determine the length of the base. | nvidia_math |
John decides to get gym memberships so he can get in shape. The gym close to his house is close but doesn't have everything he wants so he gets two different gym memberships. The cheap one costs $10 a month and has a sign-up fee of $50. The second gym is 3 times more expensive and it has a sign-up fee of 4 months me... | tiger_math |
Please write the following solution using Julia:
Given an alphanumeric string `s`, return _the **second largest** numerical digit that appears in_ `s`_, or_ `-1` _if it does not exist_.
An **alphanumeric** string is a string consisting of lowercase English letters and digits.
**Example 1:**
**Input:** s = "dfa12321... | dolphin |
A man purchased 3 blankets @ Rs.100 each, 4 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Answer Choices: (A) A) 600 (B) B) 350 (C) C) 450 (D) D) 470 (E) E) 50... | tiger_lab_math |
During a school science fair, a teacher is organizing booths in a large hall. The teacher wants to arrange 30 seats into rows such that each row contains the same number of seats. Initially, the teacher attempts to set 5 more seats per row than the total number of rows. How many seats will each row contain once they ar... | tiger_math |
Repost and enhancement of this mathematical challenge originating in 2011
A vampire number is defined as a positive integer \$v\$ characterized by possessing an even number of digits, which permits the partitioning of \$v\$ into two constituent integers \$x, y\$ that are comprised of the exact digits of \$v\$ such that... | evolcodegolf |
In a graph with n vertices, a path that visits every vertex exactly once is called a Hamiltonian path. Determine the number of Hamiltonian paths in a complete graph with 5 vertices. | nvidia_math |
I am trying to implement a CUDA kernel for a highway LSTM network, but I am facing some issues with the backward computation. I need to implement the elementWise_bp CUDA kernel for the backward pass of the highway LSTM network. The kernel is responsible for calculating the gradients of the input gates, output gates, an... | glaive |
You are tasked with implementing a simple server monitoring system using Python. Your goal is to create a class called `WokServer` that can track the status of multiple servers and provide functionality to update and retrieve server status.
The `WokServer` class should have the following features:
1. A constructor tha... | codefeedback |
In 2010, the sum of the year's digits is $3$. What is the first year after 2010 in which the sum of the digits is 3 again? | tiger_lab_math |
You are tasked with implementing a linear regression without a model for intra-group correlation using the SAS programming language. The default adjustment method is reml, but you need to use the method=ml for maximum likelihood. You are given the following variables: vengeance, sexe, age, vc, wom, and t. You need to w... | glaive |
Write a function in Python to compress a given string. The compressed string should consist of each character followed by the count of consecutive occurrences of that character. For example, the string "aabcccccaaa" should be compressed to "a2b1c5a3".
The function should have a time complexity of O(n), where n is the... | codefeedback |
We have that $2 \cdot p(x) \cdot q(x) + 5 \cdot r(x) = s(x)$ where $p(x),$ $q(x),$ $r(x),$ and $s(x)$ are all polynomials in $x.$ If the degree of $s(x)$ is $6$ and the degree of $p(x)$ is $2$, then what is the maximum possible degree of $r(x)$? | nvidia_math |
Objective
Given a date, spell it out in Romanized Japanese, ensuring to include both the English and the Romanized Japanese representation in your output.
I/O Format
The input format is flexible. The output format is <month spelling> <day spelling>; note the space. You can freely mix cases in output. You may outp... | evolcodegolf |
Engaging in a creative exercise today, we invite you to construct a pyramid composed of letters! Below is an illustrative example of a letter pyramid for the first 5 characters:
Your task is to display the initial 5 letters with a space separating them, first in an ascending arrangement followed by a descending one.
... | evolcodegolf |
Task
Given the pre-order and post-order traversals of a full binary tree, return its in-order traversal, while also ensuring that the output must reflect not only the correct traversal sequence but also maintain a specific ordering based on the evenness of the node values. The traversals will be represented as two li... | evolcodegolf |
You are tasked with creating a function in Stata that takes a command as input and executes it. The function should also have an option to only show the command without executing it. The function should handle different versions of the command and display an error message if the command is not found. Additionally, the ... | glaive |
A bookshelf has 5 shelves, and each shelf can hold a certain number of books. If the bookshelf is currently empty and we start filling it with books, with each new book placed on the next available shelf, starting from the top shelf, and if we know that when 25 books are placed, the number of books on the top shelf is ... | nvidia_math |
In the context of a mathematical matrix denoted as A, we can characterize it as "sorted" if and only if each individual row, as well as every column, adheres to a strict ascending order—meaning that the elements in each row are arranged from left to right in increasing value, while those in each column ascend from the ... | evolcodegolf |
You are tasked with creating a Ruby program that uses the Homebrew Cask DSL to define a cask for a Swift Package Manager (SwiftPM) catalog app. The cask should include the version number, SHA256 hash, URL for download, app name, description, homepage, livecheck strategy, and macOS dependency. Your program should be abl... | glaive |
If \( b \) and \( a \) are constants, what is the result of the summation \( S = \sum_{i=1}^N (b-a)^i \) expressed in terms of \( N \), \( a \), and \( b \)? | automath |
A variable \( X \) represents the speeds of cars measured by a radar unit, which follows a normal distribution with a mean \( \mu = 30 \) and a standard deviation \( \sigma = 4 \). What is the probability that a randomly selected car is traveling at a speed greater than 38 mph? | automath |
Help me add a repeating pattern as a fill for this SVG shape.
<svg width="32" height="32" viewBox="0 0 32 32" fill="none" xmlns="http://www.w3.org/2000/svg">
<path d="M17.4506 5.84483L29.999 12L28.999 14L23.0165 11.6279C23.999 13 23.999 14.1322 23.999 15.5C23.999 21.0054 19.5993 25.515 14.2512 25.9634L13.5547 26.707L12... | codefeedback |
convert this code from Rust to Julia:
```rust
use std::collections::HashMap;
struct Node {
val: i32,
next: Option<Box<Node>>,
random: Option<Box<Node>>,
}
impl Node {
fn new(val: i32) -> Self {
Self {
val,
next: None,
random: None,
}
}
}
fn copy... | dolphin |
Alexander made thirty chocolate cupcakes and sixty muffins in the morning. In the evening, he made fifteen chocolate cupcakes and thirty muffins. How many more muffins did he make than chocolate cupcakes? | nvidia_math |
Please write the following solution using Object Pascal:
A game on an **undirected** graph is played by two players, Mouse and Cat, who alternate turns.
The graph is given as follows: `graph[a]` is a list of all nodes `b` such that `ab` is an edge of the graph.
The mouse starts at node `1` and goes first, the cat sta... | dolphin |
What is the autocorrelation function \( R_x(\tau) \) of the random process defined by
\[
x(t) = A\cos(2\pi f_0 t) + Bw(t)
\]
where \( w(t) \) is a white noise process with zero mean and power spectral density \( \frac{N_0}{2} \), expressed in terms of \( \tau \)? | automath |
The objective of this coding challenge is to construct and return a nested list structure comprising integers, analogous to the Python range function, but with each integer encapsulated within increasingly deep layers of lists.
Rules:
- Develop a program or a non-anonymous function
- The output must be returned or p... | evolcodegolf |
Write a recursive code that prints the reversed version of a given linked list, but you are not allowed to use the built-in reverse() function. Additionally, you need to implement the solution with a time complexity of O(n) and space complexity of O(1). The input linked list will contain objects or strings instead of i... | codefeedback |
A hotel has 20 rooms, each with a unique three-digit room number. The following clues are given about the room number:
- The hundreds digit is even.
- The tens digit is greater than 5.
- The units digit is prime (2, 3, 5, or 7).
- The sum of the digits is a multiple of 3.
What is the probability that a randomly chose... | nvidia_math |
Let $C_n$ be the sum of the first $n$ terms of the geometric series
\[512 + \frac{512}{3} + \frac{512}{9} + \dotsb,\]and let $D_n$ be the sum of the first $n$ terms of the geometric series
\[2430 - \frac{2430}{3} + \frac{2430}{9} - \dotsb.\]Find the value of $n \ge 1$ for which $C_n = D_n.$ | nvidia_math |
You are tasked with creating a custom testing framework for a Rust project. The framework should be able to compile a set of test cases and verify that certain test cases fail to compile as expected. To achieve this, you need to implement a function that takes a directory path as input, searches for Rust source files w... | codefeedback |
You are working on a project that involves handling images in Lisp using the `movitz` package. Your task is to create a new class `custom-image` that inherits from the `procfs-image` class. The `custom-image` class should have an additional slot `custom-data` to store custom image data. You need to write a macro `with-... | glaive |
Introduction
For the purposes of this challenge, we will define the neighbours of an element \$E\$ in a square matrix \$A\$ (such that \$E=A_{i,j}\$) as all the entries of \$A\$ that are immediately adjacent diagonally, horizontally or vertically to \$E\$ (i.e. they "surround" \$E\$, without wrapping around). Additiona... | evolcodegolf |
How can I modify the code provided to create an array that can store 24 integers? | sharegpt |
If Jasmine swims 12 laps every afternoon from Monday to Friday, how many laps will she swim in a span of five weeks? | tiger_math |
You are working on a data decoding service that involves binding a JSON parser using Mojo, a framework for enabling inter-process communication in Chromium-based projects. The `DataDecoderService` class has a method `BindJsonParser` that takes a `mojo::PendingReceiver` of type `mojom::JsonParser` as a parameter. The me... | codefeedback |
I am working with SQLAlchemy and have three mapped classes named `User`, `Document`, and `DocumentsPermissions`. I need to join these three tables into one by running a single query using SQLAlchemy where `user.email = "user@email.com"`. I have tried the following code but it doesn't seem to work:
```python
result = s... | glaive |
You are tasked with creating a custom filter for a Django model to filter recordings based on their duration. The `Recordings` model has a field `duration` representing the length of the recording in seconds. You need to implement a custom filter that allows users to filter recordings based on their duration falling wi... | magicoder |
The graph of the quadratic $y = ax^2 + bx + c$ is a parabola that passes through the points $(-1,7)$, $(5,7)$, and $(6,10)$. What is the $x$-coordinate of the vertex of the parabola? | tiger_math |
Design a program that processes two sets of three non-negative integers, M, N, and P, representing two mixed fractions: M/N and P/Q, where N and Q are greater than zero and M ≤ N and P ≤ Q.
Your goal is to generate an ASCII art representation of these mixed fractions using the characters |o- to illustrate the values.... | evolcodegolf |
In a certain scenario, the probability of an event A occurring is given by \( P(A) = 0.69 \), and the probability of event A not occurring is \( P(A') = 0.31 \). If \( n \) independent trials are conducted, what is the probability that event A occurs at least 4 times if \( n = 5 \)? Specifically, calculate \( P(X \geq ... | automath |
Find the area enclosed by the ellipse $x^2 + 4y^2 = 5$ using symplectic geometry methods. | tiger_lab_math |
You are tasked with implementing a function to calculate the loss value for a machine learning model's transferability evaluation. The function takes in a surrogate model, adversarial input data, and original labels, and computes the loss value based on the model's predictions.
You are given the following code snippet... | magicoder |
A monkey randomly presses keys on a keyboard that includes 5 distinct letters. What is the expected number of key presses \( E(W) \) until the monkey has pressed all 5 different letters at least once? | automath |
Write a C++ program that prints out the numbers from 1 to 100, with the exception of numbers divisible by 3 being replaced with "Fizz", numbers divisible by 5 replaced with "Buzz", and numbers divisible by 7 replaced with "Woof". Additionally, numbers divisible by both 3 and 5 should be replaced with "FizzBuzz", number... | codefeedback |
You are tasked with implementing a class that represents a configuration parameter. The class should have a constructor that accepts the parameter name, a boolean indicating whether the parameter is required, and an optional default value. Additionally, the class should provide methods to retrieve the parameter name, c... | magicoder |
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