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Last week we saw Cersei even the playing field, but this week, we saw Daenerys strike back and remind the Lannisters that all the plotting and tactical savvy in the world can’t always account for the sheer devastation dragons are capable of. Moreover, the Lannister armies are severely outmatched by the Dothraki horde, to the point where even if Dany didn’t assault her opponents with Drogon, the horde still would have easily won.

This was an important win for Daenerys, not just for her own morale, but also because she and Drogon burned all of the food Jaime had plundered from Highgarden and demanded from the nearby holds. Despite her desire to assault King’s Landing and melt the Red Keep, Daenerys is sticking to the plan of starving out the citizens of King’s Landing, eventually encouraging them to turn on their ruler, Cersei Lannister.

Daenerys had a decisive victory in The Reach, but the episode leaves us on a cliffhanger as we watch Jaime sink to the bottom of Blackwater Rush. Is Jaime dead or will he survive? While the show runners probably wouldn’t give a main character like him an offscreen death, things certainly don’t look good for Jaime. Should he survive his visit to the bottom of Blackwater Rush, he’ll likely become the captive of Daenerys, assuming she doesn’t just kill him outright. On the plus side, that means we’ll get to see Jaime and Tyrion reunited, which should make for a wonderful scene.

Speaking of reunions: in this episode we saw many of the Stark children gathering at Winterfell for the first time in years. Sansa, Arya, and Bran are all back together, and all we need now is for Jon Snow to return from Dragonstone before all of the remaining Starks are back together once more. If we get what we want and the four are eventually reunited, that’s going to be one powerful group of highborn children. Arya is now a trained assassin, Sansa’s abilities as a political force are beginning to show through, Bran is basically a God as the Three-Eyed-Raven, and Jon is an excellent fighter and leader.

In this episode, Sansa is coming to terms with the newfound abilities of her siblings. These are no longer the siblings she had when she left Winterfell all those seasons ago. Just like she had to, Arya, Bran, and Jon had to adapt and develop new skills to survive life outside of Winterfell. Seeing Arya best Brienne in one-on-one combat made this reality sink in even more – Arya is no longer the little girl who dreams of being a knight. Instead, she is a trained assassin who can kill her enemies before they even know she’s there.

We also found out that there’s someone in Westeros who can actually unnerve Littlefinger. Petyr Baelish was clearly concerned when Bran said “Chaos is a ladder” during their conversation, and he’s right to be worried. For those who need a little refresher, Littlefinger said those very words to Varys in an out-of-sight meeting in the Red Keep back in the season 3 episode “The Climb.” Here’s Littlefinger’s full monologue from that episode:

Chaos isn’t a pit. Chaos is a ladder. Many who try to climb it fail and never get to try again; the fall breaks them. And some are given a chance to climb, but they refuse. They cling to the realm, or the gods, or love. Illusions. Only the ladder is real. The climb is all there is.

Essentially, Littlefinger is reveling in the chaos he causes. He uses chaos as a distraction, and it’s clear that chaos is his greatest tool. When something needs to be done in the shadows, chaos is Littlefinger’s ally. While others distract themselves with faith, love, or politics, Littlefinger keeps climbing the ladder of chaos – his eyes on the ultimate prize the entire time.

That Bran knows about this conversation should be unsettling to Littlefinger, because Littlefinger has spent so long trying to come off as trustworthy to Sansa and Jon. Neither of them entirely buy it yet, but Bran knows that anything Littlefinger does is only ever done to further his own goals and never out of some feeling of loyalty or altruism. That Bran can see whatever he wants to see, regardless of distance or time, should be very worrying to someone like Littlefinger, who operates in the shadows and can’t help but gloat to his rivals when he’s enjoying a victory.

Finally, we saw Daenerys and Jon come closer to an agreement, but ultimately they failed to reach one. Aside from their individual stubbornness, the fact that they’re beginning to feel attracted to one another is making things even more complicated. There are no outward indications of this attraction, but their body language betrays their silence.

Jon, however, may eventually come around and bend the knee to Daenerys. While they were in the dragonglass mines and discussing whether or not the people in the north would accept a ruler from the south, Daenerys asks “Isn’t their survival more important than your pride?” This is, word-for-word, the same thing Jon asked Mance Rayder back in season 5, shortly before Mance was burned at the stake. Those words clearly struck a chord with Jon, so expect him to reconsider his position after realizing how the roles have been swapped.

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Demystifying The Working Of Principal Component Analysis!

This article was published as a part of the Data Science Blogathon.

Introduction

Principal Component Analysis (PCA) is one of the prominent dimensionality reduction techniques. It is valuable when we need to reduce the dimension of the dataset while retaining maximum information.

In this article, we will learn the need for PCA, PCA working, preprocessing steps required before applying PCA, and the interpretation of principal components.

Why do we need PCA?

PCA is not required unless you have a dataset with a large number of attributes. Generally, when we deal with real-world data we encounter a huge messy dataset with a large number of attributes.

If we apply any Machine Learning model on a huge dataset without reducing its dimensions then it would be computationally expensive.

Therefore, to reduce the dimension and to retain maximum information we need PCA as our objective is to deliver accurate ML models with less time and space complexity.

PCA is needed when dataset have large number of attributes. We can avoid PCA for smaller datasets.

Is there any preprocessing step required before applying PCA?

We need to keep the below points in  our mind before applying PCA

PCA can not be applied to the dataset with null values. Hence, you need to treat null values before proceeding with PCA.   There are different ways of treating null values such as dropping the variables and imputing the missing data using mean or median.

We shouldn’t apply PCA on the dataset having attributes on different scales. We need to standardize variables before applying PCA.

Let us take an example of Facebook Metric data set

This dataset has 19 columns(or dimensions) and we will try to reduce its dimensions using PCA. Below you will find the python code and its output. We have dropped one categorical column for simplicity of analysis.

import pandas as pd import numpy as np import matplotlib.pyplot as plt data.drop(columns = 'Type',inplace = True) ##For simplicity we keep all data as numerical data.head()

The output of the Facebook metrics dataset

We will check the statistical summary of our dataset to find the scale of different attributes. Below we can see that every attribute is on a different scale. Therefore, we can not jump to PCA directly without changing the scales of attributes.

Statistical summary of data

We see that column “Post Weekday” has less variance and column “Lifetime Post Total Reach” has comparatively more variance.

Therefore, if we apply PCA without standardization of data then more weightage will be given to the “Lifetime Post Total Reach” column during the calculation of “eigenvectors” and “eigenvalues” and we will get biased principal components.

Now we will standardize the dataset using RobustScaler of sklearn library. Other ways of standardizing data are provided in sklearn like StandardScaler and MinMaxScaler and can be chosen as per the requirement.

from sklearn.preprocessing import RobustScaler rs = RobustScaler() scaled = pd.DataFrame(rs.fit_transform(data),columns = data.columns) scaled.head() Who decides the number of principal components?

Unless specified, the number of principal components will be equal to the number of attributes.

Our dataset has 18 attributes initially hence we get 18 principal components. These components are new variables which are in fact a linear combination of input variables.

Once we get the amount of variance explained by each principal component we can decide how many components we need for our model based on the amount of information we want to retain.

Principal components are uncorrelated with each other. These principal components are known as eigenvectors and the variances explained by each eigenvector is known as eigenvalues.

Below we have applied PCA on the scaled datasets. If we want a predefined number of components then we can do that it using PCA(n_components)

from sklearn.decomposition import PCA scaled_data = scaled.dropna() pca = PCA() ## If we need predefined number of components we can set n_components to any integer value pca.fit_transform(scaled_data) print(pca.explained_variance_ratio_)

Here the output is the variance explained by each principal component. We have 18 attributes in our dataset and hence we get 18 principal components.

Always remember that the first principal component will always hold maximum variance

You can observe the same in the output that the first principal component holds maximum variance followed by subsequent components.

Interpretation of Principal Component

Now we have 18 principal components and we will try to find out how these components are influenced by each attribute.

We can check the influence of the top 3 attributes (both positive and negative) for the first principal component.

Below is the python code to fetch the influence of attributes on principal components by changing the number of features and number of components.

def feature_weight(pca, n_comp, n_feat): comp.sort_values(ascending=False, inplace=True) comp = pd.concat([comp.head(n_feat), comp.tail(n_feat)]) comp.plot(kind='bar', title='Top {} weighted attributes for PCA component {}'.format(n_feat, n_comp)) plt.show() return comp feature_weight(pca,0,3)

Likewise, we can interpret other principal components as per the understanding of data using the above plot.

Plot  to visualize variance by each principal component: Scree Plot

Below you can see a scree plot that depicts the variance explained by each principal component.

Here we can see that the top 8 components account for more than 95% variance. We can use these 8 principal components for our modelling purpose.

def screeplot(pca): var_len = len(pca.explained_variance_ratio_) indx = np.arange(var_len) var_pca = pca.explained_variance_ratio_ plt.figure(figsize=(14, 8)) ax = plt.subplot() cum_var = np.cumsum(var_pca) ax.bar(indx, var_pca) ax.plot(indx, cum_var) ax.set_xlabel("Principal Components") ax.set_ylabel("Percentage Variance Explained") plt.title('Cumulative Variance Explained by Principal Components') screeplot(pca)

Finally, we reduce the number of attributes to 8 from the initial 18 attributes. We were also able to retain 95%  information of our dataset. Voila !! 🙂

Below is the scree plot for unscaled data just to check how different our principal components will be in the scaled version. We can see that there is a huge difference in principal components and the amount of variance explained. Here, the first component is explaining around 85% variance.

Similarly, you can check for each principal component how they have been influenced by attributes of unscaled data.

I hope this article would help to understand the basics of PCA.

If you like this article then I will share another article with basic mathematics about PCA.

The media shown in this article on Data Visualizations in Julia are not owned by Analytics Vidhya and is used at the Author’s discretion

Related

For Sale: The Next Generation Of Chinese War Robots

The Indonesian Navy’s Kapitan Pattimura-class corvette, KRI Sultan Thaha Syaifuddin, tested a 7 barrel Type 730 CIWS last year. The Indonesians liked it enough to purchase two for modernizing their fast attack boats, more order may soon follow. defense.pk

HSIB

The High Speed Intercept Boat is a very fast (80 knots!) USV still being tested by the PLAN, and already offered for export. Currently capable of being armed with machine guns, its arsenal will likely expand once it enters service.

Chinese Third Offset

This concept from September 2024 shows a network of Chinese fast USVs undertaking various tasks, including escort, interdiction of civilian freighters, patrolling offshore assets and working in a system of systems with other unmanned systems, including drones and submersibles.

CH-901

The CH-901, a micro-UAV, is already in service with the PLA. While a useful recon tool, it can kamikaze into enemy forces and detonate its warhead for some quick carnage.

Switchblade

The Switchblade is a similar micro UAV to the CH-901, with both reconnaissance and a suicide attack capability. The US Army and Marine Corps have been deployed with 4,000 Switchblades in Afghani operations.

The CH-901 would serve a wide range of uses for both the PLA and foreign customers in Southeast Asia and elsewhere. Instead of having to rely on air support or artillery fire that may be unavailable for whatever reason, small infantry units can mount sneak attacks on vital enemy infrastructure. Also, the CH-901 would be a powerful force multiplier for the average solider in urban combat, and a cheap weapon in counterinsurgency fights.

More Guns for the Garuda

The Indonesian Navy’s Kapitan Pattimura-class corvette, KRI Sultan Thaha Syaifuddin, tested a 7 barrel Type 730 CIWS last year. The Indonesians liked it enough to purchase two for modernizing their fast attack boats, more order may soon follow.

Moving to a more conventional weapons category, Indonesia has agreed to purchase two Type 730 Close In Weapons System to arm its KCR-60M missile boats. The PLAN already uses the Type 730, a seven barrel 30mm Gatling cannon, for close area defense of warships like the Type 052D destroyer, against enemy missiles and small boats. The Indonesia Navy has already been testing the Type 730 CIWS onboard one of its missile boats since last year. Given the need for an effective CIWS to have top notch radars and cameras to target missiles in just a couple seconds, Indonesia must have judged it to be competitive with Western systems that Indonesia already has. Taken in conjunction with previous Indonesian purchases of C-701 antiship missiles, Indonesia looks set to be a repeat customer for Chinese weapons, in spite of occasional maritime disputes.

Special Forces ZH-05

This ZH-05 is a Chinese smart grenade/rifle, with a 20mm grenade launcher that can fired munitions programmed for individual engagements. China’s development and field of smart rifles and micro attack drones are the first wave in Chinese innovations for infantry weapon technology, coming soon to the 21st century battlefield.

China’s willingness to offer weapons already used by or even still in testing with its military is looking a look like a pivot by China to go beyond economic trade and aid when winning friends aboard. And in addition to the high profile categories like long range missiles and submarines, China also has the killer apps for the average grunt on the ground. If western nations like the U.S. won’t export personal infantry digital equipment and robots, China seems well positioned to fill that supply gap.

You may also be interested in:

China Debuts Anbot, the Police Robot

The South Sea China Arsenal: These Are the Chinese Weapons Deployed on Disputed Islands

China has a New Armed Drone Helicopter

The Military Applications of China’s CES Passenger Drone

China’s New Trio of Urban Combat Robots

Chinese Soldiers Have Laser Guns

New Chinese Laser Weapon Stars on TV

Amphibious Drone Makes First Flight

Not a Shark, but a Robot: Chinese University Tests Long-Range Unmanned Mini Sub

4 Of The Best Websites To Download Royalty

If you’re a filmmaker or YouTube vlogger, you know that the right music can really take your projects to the next level. Unfortunately, not everyone is a talented musician. Luckily, there are a number of websites that allow you to download royalty-free music to use in your projects.

Note: Royalty-free does not mean that users can do whatever they want with the files. Be sure to always check the Creative Commons license attributed to any royalty-free file you want to download and use in your project.

1. Bensound

Bensound is a website that features the work of French musician Ben Tissot. He has worked as a composer for over ten years, with his work being used in corporate videos, commercials, short films and documentaries. His website, chúng tôi is a searchable database of his compositions, organized by genre.

Furthermore, all of the music on Bensound has a “NoDerivs” clause added to the license. This prevents people from making their own music using Bensound music, such as remixes or adding lyrics.

In addition to the standard license, users can opt to pay for a “Pro” license. The Pro license is available in different tiers with different pricing structures. Purchasing a Pro license gives users rights to exclusive tracks and allows the music to be used without attribution.

2. Free Music Archive

As the name suggests, Free Music Archive is an archive of free music. Users can download any of the tracks at no charge. There are a ton of tracks available, all organized into a variety of different genres. What you’re allowed to do with these tracks will vary. Each artist or rights-holder has the final say in how the tracks can be used.

3. Moby Gratis

Moby Gratis is the brainchild of famous electronic musician Moby. The Moby Gratis site is a resource for independent filmmakers or anyone in need of music for a non-profit project. Users can download and use over 150 tracks from Moby’s own extensive back catalog of music.

There is one major difference with Moby Gratis when compared to the other sites on this list. Before you can download any of the tracks, you must first register. Registering is free and allows you to browse the music available for download. Once you find a track (or tracks) that you would like to use, you have to fill out an application. Decisions on applications are usually made within 24 hours of submission. Granted, it’s a bit more effort. However, if you’re looking for music composed by a world famous musician who has done extensive work with film scores, it may be worth it.

4. Audioblocks

Audioblocks is home to over 100,000 different audio tracks. Every single one of the tracks available are 100% royalty-free and can be used in personal or commercial projects. Furthermore, there are no download caps, meaning users can download as much as they want. The library is quite extensive, ranging from creepy atmospheric music to up-tempo orchestral pieces.

In addition to music, Audioblocks hosts a wide variety of sound effects, perfect for amateur filmmakers. Audioblocks have something for every occasion, from record scratches to booming thunder. On top of all that, Audioblocks even has a whole slew of loops for users who are interested in crafting their own tunes.

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Solidity Vs Clarity Vs Move: The War Of Smart Contract Programming Languages

Bitcoin was invented to replace banks and the lengthy banking process. But to everybody’s surprise, the underlying blockchain technology that powered the bitcoin functionalities became even more popular. Blockchain technology has revolutionized almost any intermediary. Following the successful implementation of a disruptive trend, the blockchain circle came up with a new concept called

The battle of smart contract programming languages

Language is a crucial component of human communication. But when machines communicate, they use a different pattern called programming languages to convey their needs to the hardware or software programs. Similarly, smart contracts also require easy programming languages to streamline their operations. Smart contract programming languages provide easy interaction and utilize the blockchain to its full extent. There are over thousands of smart contract programming languages available in the market today. Unfortunately, the availability of so many programming languages creates nothing but chaos and bad choice. Therefore, we have listed three top smart contract programming languages and provided a complete outlook on every one of them.  

Solidity

Solidity is a programming language that is specifically designed to develop Ethereum smart contracts. But to work on Solidity, you should be both experienced and proficient in the field of Javascript technology. Solidity is a high-level, human-readable code that breaks it down into specific instructions that are easily understandable for machines. The programming language comes with a handful of benefits. Some of them are listed as follows,

Providing inheritance properties in contracts is not a common thing. However, Solidity breaks the ice by leveraging inheritance properties in contracts including multiple level inheritance properties.

In order to ease representation and arrangements, solidity keeps the contract open for multiple members. Therefore, many can view and clarify doubts related to the contract.

Even developers who are not experienced with Solidity can adopt the concept if they are well-versed in JavaScript and C++. Remarkably, Solidity’s blockchain development basics coordinate with that of these familiar programming languages.

Solidity helps develop a secure, easy, and reliable medium for various sources which have the involvement of two parties to do an agreement on something.

Clarity

Clarity is a smart contract programming language introduced by Blockstack for their very own Stacks blockchain. Blockstack, a powerful platform that is aiming to build its own internet, provides smart contract facilities. Clarity is a decidable programming language used in Blockstack, which is designed as a ‘non-turning complete’ and ‘not intended to compile.’ The programming language avoids all the issues of turning complete programming language.

Clarity can analyze the side effects of contracts and in particular, transactions. This helps improve the user experience and allows users to gain credibility.

At Clarity, the contract source code itself is published and executed by blockchain nodes, removing any intermediate, compiled representation.

Move

Built to support digital asset creation, Move is an open-source programming language. The move is used to preserve simplicity while supporting the complex needs of a global financial infrastructure by striking a balance between the expressivity of the source language and safety measures. It is a stack-based language that works similar to all the other languages by pushing and pop; ping as operations are prepared. Based on Rust, Move aims to develop customizable transaction logic and smart contracts for the Libra digital currency.

Move encodes ownership of the digital assets and creates procedures for the transfer of those assets.

Move even addresses the problems of indirect representation by introducing resources, a customizable type inspired by linear logic.

Besides, every single Libra transaction has a Move transaction script that is responsible for encoding the logic a validatory should perform on the client’s behalf.

Apex Legends Game For Windows Pc, Xbox One And Playstation 4

Electronic Arts along with Respawn Entertainment published and developed a new free to play battle royale game called Apex Legends. This game is set in the same universe as Titanfall and has recently been released for Windows PCs, Xbox One and PlayStation 4. The introduction of each character having their own unique skills and abilities, makes it stand out from Fortnite and PLAYERUNKNOWN’S BATTLEGROUND or PUBG. Just a few weeks into its initial release, this game has taken over the entire Internet with everyone talking about its features, graphics, and storyline. We will be talking about the game in this article.

Apex Legends for PC, Xbox One & PlayStation 4

We will be discussing the following aspects of this game,

System Requirements.

Options available on the PC edition.

How to download and install it on a Windows PC.

My Initial Impressions.

Availability.

1] Apex Legends System Requirements

As per the drill and data officially provided by EA (Electronic Arts), we will be talking about the Minimum Requirements and the Recommended Requirements.

Minimum Requirements:

OS: Windows 7 (x64 architecture).

CPU: Intel Core i3-6300 3.8GHz / AMD FX-4350 4.2 GHz Quad-Core Processor.

RAM: 6 Gigabytes.

GPU: NVIDIA GeForce GT 640 / Radeon HD 7730

GPU RAM: 1 Gigabyte.

Hard drive free space: Minimum 22 Gigabytes of free space on the Hard drive.

Recommended Requirements:

OS: Windows 7 (x64 architecture).

CPU: Intel i5 3570K or equivalent

RAM: 8 Gigabytes.

GPU: Nvidia GeForce GTX 970 / AMD Radeon R9 290

GPU RAM: 8 Gigabytes.

Hard drive free space: Minimum 22 Gigabytes of free space on the Hard drive.

2] Apex Legends Options available on the PC edition

Adaptive Resolution FPS Target: 0 (off) – 100 (requires TSAA when Enabled)

Adaptive Supersampling: Disabled / Enabled

Anti-aliasing: None / TSAA

Aspect Ratio: 4:3 and 5:4 / 16:9 / 16:10 / 21:9

Ambient Occlusion: Disabled / Low / Medium / High

Color Blind Mode: Off / Protanopia / Deuteranopia / Tritanopia

Display Mode: Full screen / Windowed / Borderless Window

Dynamic Spot Shadows: Disabled / Enabled

Effects Detail: Low / Medium / High

FOV: Slider (70-110)

Impact Marks: Disabled / Low / High

Model Detail: Low / Medium / High

Ragdoll: Low / Medium / High

Spot Shadow Detail: Disabled / Low / High / Very High

Sun Shadow Coverage: Low / High

Sun Shadow Detail: Low / High

Texture Filtering: Bilinear, Trilinear, Anisotropic (2x, 4x, 8x, 16x)

Texture streaming budget: None / 2GB VRAM / 2-3 GB VRAM / 3 GB VRAM / 4 GB VRAM / 6 GB VRAM / 8 GB VRAM

V-Sync: Disabled / 3x buffered / Adaptive / Adaptive (1/2 rate)

Volumetric Lighting: Disabled / Enabled

Additional features

Fully remappable key bindings

Mouse acceleration: off/on

Streamer Mode: Off / Killer Only / All

ADS Mouse Sensitivity Multiplayer Slider: 0.2 up to 20.0

Gamepad support with multiple configs and sensitivity options

Voice Chat Record Mode: Push to Talk / Open Mic

Open mic threshold slider

Incoming voice chat volume slider

(Currently only available in English)

(Currently only available in English)

3] Download & install Apex Legends on Windows PC

Apex Legends can be downloaded and played using Origin of Windows PCs.

Once downloaded, run the executable file to land on the following screen.

It will ask you to sign in to your Origin account/EA account. If you do not already have one, just use the Create An Account option to create one right then.

Once signed in, you will be prompted to choose the install location and other details which you need to set accordingly.

You need to remember that the installation location will need at least 22 Gigabytes of free hard drive space.

Along with that, you will also get options to enable the creation of the Start menu and Desktop shortcuts to get the game running more intuitively.

Depending on your Internet connection, it will then start downloading 13.26 GB to game data.

Finally, you can select Play to start the game.

It will then launch and start loading the game.

There you go!

4] Apex Legends gameplay

Playing the game is a bit addictive. The responsiveness and character-based features that you get with this game, makes it stand out from others.

A player will be able to level up with the XP that they earn by playing the matches. For each level up, they will be eligible to earn rewards like Apex Pack, Legend Tokens or even both. After level 100, additional tokens can be earned just by gained by just getting enough XP.

A new character can be unlocked when the player collects 12,000 Legend Tokens by playing standard matches. For now, only one map named ‘Kings Canyon’ is available but new maps might be coming in the future.

Also, cross-platform play functionality is not yet available, but you will be getting all the new features on every platform at almost the same time.

5] Apex Legends – Initial Impressions

After getting the game fully loaded, it was easy to get used to it because of the fact that a character is narrating the storyline. And talking about the graphics, it was decent, and the frame rate stayed around 30 FPS on my machine running a 2 Gigabytes dedicated NVIDIA 920 MX and with 8 Gigabytes of RAM. The processors was a 7th Generation Core i5 – 7200U.

However, when playing intense location where the rendering was instant and critical, I faced a few lags, but that should not be on higher end machines.

Other than that, I found the gameplay to be smooth, playable and enjoying.

This game deserves a thumbs up from me.

6] Apex Legends Availability

This game is available right now to be played in the following countries for a Windows PC-

Australia, Belgium, Brazil, Canada, Germany, Denmark, Spain, Finland, France, Great Britain, Hong Kong, Ireland, India, Italy, Japan, Mexico, Netherlands, Norway, New Zealand, Poland, Russia, Sweden, Singapore, Taiwan, United States, South Africa, Thailand.

If you live in a region outside of something mentioned above, you might need to wait a little more.

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