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Trading binary options and cfds on synthetic indices is classified as a gambling activity. Remember that gambling can be addictive – please play responsibly. Learn more about responsible trading. Some products are not available in all countries. This website's services are not made available in certain countries such as the USA, canada, hong kong, or to persons under age 18. The products offered via this website include binary options, contracts for difference ("cfds") and other complex derivatives. Trading binary options may not be suitable for everyone. Trading cfds carries a high level of risk since leverage can work both to your advantage and disadvantage. As a result, the products offered on this website may not be suitable for all investors because of the risk of losing all of your invested capital. You should never invest money that you cannot afford to lose, and never trade with borrowed money. Before trading in the complex products offered, please be sure to understand the risks involved and learn about responsible trading.

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In the EU, financial products are offered by deriv investments (europe) limited, W business centre, level 3, triq dun karm, birkirkara, BKR 9033, malta, regulated as a category 3 investment services provider by the malta financial services authority (licence no. IS/70156).

Outside the EU, financial products are offered by deriv (SVG) LLC, hinds building, kingstown, st. Vincent and the grenadines; deriv (V) ltd, govant building, port vila, PO box 1276, vanuatu, regulated by the vanuatu financial services commission (view licence); deriv (BVI) ltd, kingston chambers, P.O. Box 173, road town, tortola, british virgin islands, regulated by the british virgin islands financial services commission (licence no. SIBA/L/18/1114); and deriv (FX) ltd., lot no. F16, first floor, paragon labuan, jalan tun mustapha, 87000 labuan, malaysia, regulated by the labuan financial services authority to carry on a money-broking business (licence no. MB/18/0024).

This website's services are not made available in certain countries such as the USA, canada, hong kong, or to persons under age 18.

The products offered via this website include binary options, contracts for difference ("cfds") and other complex derivatives. Trading binary options may not be suitable for everyone. Trading cfds carries a high level of risk since leverage can work both to your advantage and disadvantage. As a result, the products offered on this website may not be suitable for all investors because of the risk of losing all of your invested capital. You should never invest money that you cannot afford to lose, and never trade with borrowed money. Before trading in the complex products offered, please be sure to understand the risks involved and learn about responsible trading.

Deriv investments (europe) limited, W business centre, level 3, triq dun karm, birkirkara BKR 9033, malta, is licensed in malta and regulated by the malta financial services authority under the investments services act to provide investment services in the european union (licence no. IS/70156). It is also authorised and subject to limited regulation by the financial conduct authority in the UK. Details about the extent of our authorisation and regulation by the financial conduct authority are available from us on request.

In the isle of man and the UK, synthetic indices are offered by deriv (MX) ltd., first floor, millennium house, victoria road, douglas, IM2 4RW, isle of man, british isles; licensed and regulated respectively by (1) the gambling supervision commission in the isle of man (current licence issued on 31 august 2017) and by (2) the gambling commission in the UK (licence reference no: 39172).

In the rest of the EU, synthetic indices are offered by deriv (europe) limited, W business centre, level 3, triq dun karm, birkirkara, BKR 9033, malta; licensed and regulated by (1) the malta gaming authority in malta (licence no. MGA/B2C/102/2000 issued on 01 august 2018), for UK clients by (2) the UK gambling commission (licence reference no: 39495), and for irish clients by (3) the revenue commissioners in ireland (remote bookmaker's licence no. 1010285 issued on 1 july 2017). View complete regulatory information.

Binary.Com is an award-winning online trading provider that helps its clients to trade on financial markets through binary options and cfds. Trading binary options and cfds on synthetic indices is classified as a gambling activity. Remember that gambling can be addictive – please play responsibly. Learn more about responsible trading. Some products are not available in all countries. This website's services are not made available in certain countries such as the USA, canada, hong kong, or to persons under age 18.

Trading binary options may not be suitable for everyone, so please ensure that you fully understand the risks involved. Your losses can exceed your initial deposit and you do not own or have any interest in the underlying asset.

Cfds are complex instruments and come with a high risk of losing money rapidly due to leverage. 74% of retail investor accounts lose money when trading cfds with deriv investments (europe) limited. You should consider whether you understand how cfds work and whether you can afford to take the high risk of losing your money.

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Binary search in C++

Binary search is a divide and conquer search algorithm. It uses O(log n) time to find the location of an item in a search space where n is the size of the search space. In this article, I will introduce you to the binary search algorithm using C++.

Introduction to binary search

Binary search works by halving the search space on each iteration after comparing the target value to the median value of the search space. Before learning its implementation using C++, I suggest you to first learn the implementation of linear search from here.

To use a binary search, the search space must be ordered (sorted) in some way. Duplicate entries (those that compare as equal according to the compare function) cannot be distinguished, although they do not violate the binary search property.

By convention, we use less than operator as a comparison function. If a

It launches the search in an array sorted in descending order.

At each step, it selects the middle element of the array and compares it to the search element. If the element values are equal, return the index of the element. If it finds that the element is greater than the desired element, it searches for it in the left subarray. If the item is greater than the desired value, search the right sub-array.

It continues to repeat the steps on the new sub-array until it finds the desired value.

Implementation of binary search using C++

Now let’s see how to implement the binary search algorithm using the C++ programming language. I will use the steps mentioned above to implement binary search in C++:

This is how we can implement a binary search in the C++ programming language. If you want to learn its implementation using python, you can check out this article here.

Hope you liked this article on the implementation of binary search in the C++ programming language. Please feel free to ask your valuable questions in the comments section below.

Verify binaries on linux, mac, or windows command line (advanced)

Verification of the monero binary files should be done prior to extracting, installing, or using the monero software. This is the only way to ensure that you are using the official monero software. If you receive a fake monero binary (eg. Phishing, MITM, etc.), following this guide will protect you from being tricked into using it.

To protect the integrity of the binaries the monero team provides a cryptographically signed list of all the SHA256 hashes. If your downloaded binary has been tampered with it will be produce a different hash than the one in the file.

This is an advanced guide for linux, mac, or windows operating systems and will make use of the command line. It will walk you through the process of installing the required software, importing the signing key, downloading the necessary files, and finally verifying that your binary is authentic.

1. Installing gnupg

On windows, go to the gpg4win download page and follow the instructions for installation.

On mac, go to the gpgtools download page and follow the instructions for installation.

On linux, gnupg is installed by default.

2. Verify and import signing key

This section will cover getting the monero signing key, making sure it is correct, and importing the key to gnupg.

2.1. Get signing key

On windows or mac, go to binaryfate's GPG key, which he uses to sign the monero binaries, and save the page as binaryfate.Asc to your home directory.

On linux, you can download binaryfate's signing key by issuing the following command:

2.2. Verify signing key

On all operating systems, check the fingerprint of binaryfate.Asc by issuing the following command in a terminal:

Verify the fingerprint matches:

If the fingerprint DOES match, then you may proceed.

If the fingerprint DOES NOT match, DO NOT CONTINUE. Instead delete the file binaryfate.Asc and go back to section 2.1.

2.3. Import signing key

From a terminal, import the signing key:

If this is the first time you have imported the key, the output will look like this:

If you have imported the key previously, the output will look like this:

3. Download and verify hash file

This section will cover downloading the hash file and verifying its authenticity.

3.1. Get hash file

On windows or mac, go to the hashes file on getmonero.Org and save the page as hashes.Txt to your home directory.

On linux, you can download the signed hashes file by issuing the following command:

3.2. Verify hash file

The hash file is signed with key 81AC 591F E9C4 B65C 5806 AFC3 F0AF 4D46 2A0B DF92 , as reflected in the output below.

On all operating systems, verify the signature of the hash file by issuing the following command in a terminal:

If the file is authentic, the output will look like this:

If your output shows good signature, as in the example, then you may proceed.

If you see BAD signature in the output, DO NOT CONTINUE. Instead delete the file hashes.Txt and go back to section 3.1.

4. Download and verify binary

This section will cover downloading the monero binary for your operating system, getting the SHA256 hash of your download, and verifying that it is correct.

4.1. Get monero binary

On windows or mac, go to getmonero.Org and download the correct file for your operating system. Save the file to your home directory. Do not extract the files yet.

On linux, you can download the command line tools by issuing the following command:

4.2. Binary verification on linux or mac

The steps for both linux and mac are the same. From a terminal, get the SHA256 hash of your downloaded monero binary. As an example this guide will use the linux, 64bit GUI binary. Substitute monero-gui-linux-x64-v0.15.0.1.Tar.Bz2 with the name of the binary that you downloaded in section 4.1.

The output will look like this, but will be different for each binary file. Your SHA256 hash should match the one listed in the hashes.Txt file for your binary file.

If your hash DOES match, then you are finished with the guide! You can extract the files and install.

If your hash DOES NOT match, DO NOT CONTINUE. Instead delete the binary you downloaded and go back to section 4.1.

4.3. Binary verification on windows

From a terminal, get the SHA256 hash of your downloaded monero binary. As an example this guide will use the windows, 64bit GUI binary. Substitute monero-gui-win-x64-v0.15.0.1.Zip with the name of the binary that you downloaded in section 4.1.

The output will look like this, but will be different for each binary file. Your SHA256 hash should match the one listed in the hashes.Txt file for your binary file.

If your hash DOES match, then you are finished with the guide! You can extract the files and install.

If your hash DOES NOT match, DO NOT CONTINUE. Instead delete the binary you downloaded and go back to section 4.1.

Verify binaries on windows (beginner)

Verification of the monero binary files should be done prior to extracting, installing, or using the monero software. This is the only way to ensure that you are using the official monero binary. If you receive a fake binary (eg. Phishing, MITM, etc.), following this guide will protect you from being tricked into using it.

This is a beginners guide for the windows operating system and will make use of guis almost exclusively. It will walk you through the process of installing the required software, importing the signing key, downloading the necessary files, and finally verifying that your binary is authentic.

1. Gpg4win installer

2. Import signing key

3. Verify hash file

4. Verify binary file

1. Using gpg4win installer

This section will cover installing the cryptography software. Windows does not come with the tools required to verify your binary. To install these tools you can use the gpg4win installer.

1.1. Getting gpg4win installer

1.1.1. Download gpg4win

In a web browser, go to gpg4win.Org and download the installer by clicking the green button.

You will be taken to a donation page. If you do not wish to donate select $0 , then you will be able to click download .

Choose a download location, click save .

1.1.2. Launch gpg4win

When the download is finished, open the containing folder.

Double click the downloaded gpg4win executable to launch.

1.2. Use gpg4win installer

You will be presented with a security verification screen, click run .

Select your language, click OK .

A welcome screen will appear, click next .

Now you will see the component selection screen, you must at least leave kleopatra checked for this guide. Make your selections, click next .

It is best to leave the default installation location unless you know what you are doing. Make your selections, click install .

Installation has completed, click next .

2. Monero signing key

This section will cover downloading the monero signing key, verifying that the key is correct, and then importing the key to your keyring. The hash file that will be used to verify your binary is cryptographically signed with the monero signing key. In order to check the validity of this file you must have the public version of the signing key.

2.1. Download signing key

In a web browser, go to binaryfate's GPG key, which he uses for signing the monero binaries. Right click on the page, choose save page as .

Leave the default location, click save .

2.2. Initialize kleopatra

If this is your first time using kleopatra you will have to create a key pair for yourself.

2.2.1. Import signing key

Enter the directory downloads , select binaryfate , and click open .

Start the process of certifying the key by clicking yes .

2.2.2. Create key pair

Start the process of key creation by clicking yes .

Fill in some details for name and email , click next .

Verify details, click create .

Set a password, click OK .

2.3. Verify signing key

Visually check that the fingerprint of the key belonging to binaryfate is 81AC591FE9C4B65C5806AFC3F0AF4D462A0BDF92 .

If the fingerprint DOES match, click certify .

If the fingerprint of this key DOES NOT match, DO NOT CONTINUE. Instead delete the file binaryfate from the downloads directory and go back to section 2.1.

Enter your password, click OK .

3. Hash file verification

This section will cover downloading the signed file of known good hashes and verifying its authenticity.

3.1. Download hash file

In a web browser, go to the getmonero.Org hash page. Right click the page, select save page as .

Leave the default location, click save .

3.2. Verify hash file

In kleopatra, click the decrypt/verify button.

Navigate to downloads directory. Select hashes file, click open .

Kleopatra will inform you if the files signature is valid.

If the signature is VALID you will see this:

If the signature is INVALID you will see this:

If you receive a VALID signature, click discard and move on.

If you receive an INVALID signature, DO NOT CONTINUE. Instead delete the file hashes from the downloads directory and go back to section 3.1.

4. Binary file verification

This section will cover downloading the monero binary and verifying its authenticity.

4.1. Download binary

In a web browser, go to the getmonero.Org downloads page. Select the correct binary for your system.

Leave save file selected, click OK .

Leave the default location, click save .

4.2. Verify binary

In a file manager, navigate to downloads directory. Open the file hashes with a word processor.

Open a terminal ( cmd.Exe ).

Change to the downloads directory with the command: cd downloads .

Calculate the hash of the monero binary with the command: certutil -hashfile monero-gui-win-x64-v0.16.0.2.Zip SHA256 (if you downloaded a command-line only version, replace monero-gui-win-x64-v0.16.0.2.Zip accordingly).

Compare the hash from the terminal with the one in the hash file. They should be the same (spaces can be ignored).

If your hash DOES match then you are finished with verification! You can be sure the monero files you have are authentic. You may extract and install/use the files normally.

If your hash DOES NOT match DO NOT CONTINUE. Instead delete the monero binary from the downloads directory and go back to section 4.1.

Binary search

Definition - what does binary search mean?

A binary search algorithm is used to find the position of a specific value contained in a sorted array. Working with the principle of divide and conquer, this search algorithm can be quite fast, but the caveat is that the data has to be in a sorted form. It works by starting the search in the middle of the array and working going down the first lower or upper half of the sequence. If the median value is lower than the target value, that means that the search needs to go higher, if not, then it needs to look on the descending portion of the array.

A binary search is also known as a half-interval search or logarithmic search.

Techopedia explains binary search

A binary search is a quick and efficient method of finding a specific target value from a set of ordered items. By starting in the middle of the sorted list, it can effectively cut the search space in half by determining whether to ascend or descend the list based on the median value compared to the target value.

For example, with a target value of 8 and a search space of 1 through 11:

The median/middle value is found and the pointer is set there, which in this case is 6.

The target of 8 is compared to 6. Since 6 is smaller than 8, the target must be in the higher half.

The pointer is moved to the next value (7) and compared to the target. It is smaller, therefore the pointer moves to the next higher value.

The pointer is now on 8. Comparing this to the target, it is an exact match, therefore the target has been found.

Using binary search, the target only had to be compared to three values. Compared to doing a linear search, it would have started from the very first value and moved up, needing to compare the target to eight values. A binary search is only possible with an ordered set of data; if the data is randomly arranged, then a linear search would yield results all the time while a binary search would probably be stuck in an infinite loop.

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