diff --git a/nbody_problem/README.md b/nbody_problem/README.md
new file mode 100644
index 0000000..c186dba
--- /dev/null
+++ b/nbody_problem/README.md
@@ -0,0 +1,47 @@
+# NumPy Benchmarks
+
+Benchmarking NumPy in realistic situations.
+
+## Usage
+
+To run the benchmarks, you need to install the following libraries:
+```
+sudo pacman -S python-numpy
+sudo pacman -S python-pythran
+pip install transonic
+sudo pacman -S python-llvmlite
+sudo pacman -S python-setuptools
+conda install numba
+sudo pacman -S cmake
+sudo pacman -S gcc
+```
+
+To Run the Files
+
+1. Clone the Repository.
+ ```
+ git clone https://github.com/numpy/numpyorg-benchmarks
+ ```
+
+2. To execute NumPy and Python Code.
+ ```
+ taskset -c 6,7,14,15 python python/filename.py data/dataset_filename.txt
+ ```
+ *Note:* To obtain the accurate results the benchmarking is performed on the 4 isolated CPU cores (6, 7, 14, 15).
+
+3. To execute Algorithms using Compiled Methods.
+ ```
+ transonic -b BACKEND python/filename.py
+ TRANSONIC_BACKEND="BACKEND" taskset -c 6,7,15,16 python python/filename.py data/dataset_filename.txt
+ ```
+
+ Here, `-b` flag used to set the BACKEND (presently, there are 3 backends in Transonic; `cython`, `numba` and `python`. The default backend is `pythran`. Currently, we used `numba` and `pythran` for our implementation.
+
+## Writing Benchmarks
+
+Obtaining stable and reliable benchmark results requires to tune the system and to analyze the results manually.
+
+Some things to consider:
+- The first goal is to avoid the outliers caused by noisy applications.
+- To set the system state for benchmarking use the [pyperf system tune command](https://pyperf.readthedocs.io/en/latest/cli.html#system-cmd).
+- To reduce the system jitter refer [tune the system for benchmarks](https://pyperf.readthedocs.io/en/latest/system.html#system) page.
diff --git a/nbody_problem/data/input128.txt b/nbody_problem/data/input128.txt
new file mode 100644
index 0000000..811f0f2
--- /dev/null
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diff --git a/nbody_problem/data/input16.txt b/nbody_problem/data/input16.txt
new file mode 100644
index 0000000..beab129
--- /dev/null
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diff --git a/nbody_problem/data/input1k.txt b/nbody_problem/data/input1k.txt
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diff --git a/nbody_problem/data/input256.txt b/nbody_problem/data/input256.txt
new file mode 100644
index 0000000..b11456a
--- /dev/null
+++ b/nbody_problem/data/input256.txt
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diff --git a/nbody_problem/data/input32.txt b/nbody_problem/data/input32.txt
new file mode 100644
index 0000000..3615bcd
--- /dev/null
+++ b/nbody_problem/data/input32.txt
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diff --git a/nbody_problem/data/input512.txt b/nbody_problem/data/input512.txt
new file mode 100644
index 0000000..b017e07
--- /dev/null
+++ b/nbody_problem/data/input512.txt
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diff --git a/nbody_problem/data/input64.txt b/nbody_problem/data/input64.txt
new file mode 100644
index 0000000..a96e06b
--- /dev/null
+++ b/nbody_problem/data/input64.txt
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+-1 0.015625 -0.260536103278894426 -0.0416567260310689649 0.0454138444111672757 0.231026003002636482 0.257787586683437098 -1.10692020983812167
+-1 0.015625 0.908814077754814154 3.74036696194605955 -1.16657192371484308 -0.170043201663488769 -0.372846875175350589 0.00987755182017019048
+
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+
+
+## Overview
+
+This web page aims to benchmark NumPy's performance on the widely accepted N-body problem
+[2]. This work also compares NumPy with Python & C++
+and with compilers like Numba and Pythran.
+
+The objective of benchmarking NumPy revolves around the efficiency of the library in quasi real-life situations,
+and the N-body problem suits the purpose well.
+Benchmarking is performed over several iterations for different datasets to ensure the accuracy of the results.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+## About N-Body Problem
+
+
+
+
+
+> In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally.
+
+
+
+From the definition above, the N-body problem includes the kinematics between the different bodies,
+which involve various mathematical computations.
+Solving this problem has been motivated by the desire to understand the motions of the celestial bodies.
+Thus it serves as a robust entity between real-world applications and the computational world.
+
+A brief description of computations involved in solving the N-body problem is given below,
+along with the pseudo-code in the next section:
+
+Consider $n$ bodies of masses $m_1, m_2, m_3, ... , m_n$,
+moving under the mutual [gravitational force](https://en.wikipedia.org/wiki/Gravity) of attraction
+between them in an [inertial frame of reference](https://en.wikipedia.org/wiki/Inertial_frame_of_reference) of three dimensions,
+such that consecutive positions and velocities of an ${ith}$ body
+are denoted by ($s_{k-1}$, $s_k$) and ($v_{k-1}$, $v_k$) respectively.
+According to the [Newton's law of gravity](https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation),
+the gravitational force felt on the $ith$ body of mass $m_i$
+by a single body of mass $m_j$ is denoted as $F_{ij}$
+and the acceleration of the $ith$ body is represented as $a_i$.
+Let $r_i$ and $r_j$ be the position vectors of two body, such that:
+
+\begin{equation} {r_i} = {s_{k}} - {s_{k-1}} \tag{I} \end{equation}
+
+\begin{equation} {r_j} = {s_{k-1}} - {s_{k}} \tag{II} \end{equation}
+
+The final aim is to find time taken to evaluate the total energy of each particle
+in the celestial space at a given time step.
+The equations involved in solving the problem are listed below:
+
+\begin{equation} {s_k} = {s_{k-1}} + {u\times t} + \frac{a\times t^2}{2} \tag{III} \end{equation}
+
+\begin{equation}{v_k} = {v_{k-1}} + {a\times t} \tag{IV} \end{equation}
+
+\begin{equation} {F_{ij}} = \frac{{G\times {m_i}\times {m_j}}\times \mid {r_j}-{r_i} \mid}{{\mid {r_j}-{r_i} \mid}^3} \tag{V} \end{equation}
+
+\begin{equation} {a_{i}} = \frac{F_{ij}}{m_{j}} \tag{VI} \end{equation}
+
+\begin{equation} \textrm{Self Potential Energy} = \textrm{U} = -\frac{{m_i}\times {m_j}}{r^2} \tag{VII} \end{equation}
+
+\begin{equation} \textrm{Kinetic Energy} = \textrm{K.E} = \frac{\sum m\times v^2}{2} \tag{VIII} \end{equation}
+
+\begin{equation} \textrm{Total Energy} = \textrm{Kinetic Energy} + \textrm{Self Potential Energy} \tag{IX} \end{equation}
+
+### Pseudo Code of Solving N-body Problem
+
+```
+Set time to 0, time_step to 0.001 and time_end to 10s
+THEN number_of_step is 10/0.001
+FOR time is less than or equal to time_end
+ Calculate accelerations (a[i], for given position r[i])
+ Calculate total initial energies:
+ Calculate kinetic energy
+ Calculate potential energy
+ FOR k less than number_of_step
+ Calculate positions (r[k+1])
+ Swap accelerations
+ Calculate accelerations
+ Calculate velocities (v[k+1])
+ Increment time
+ IF number_of_step % 100 is not 0 THEN
+ Calculate total energy
+ Print energy
+ ENDIF
+ END FOR
+END FOR
+```
+
+## Dataset Description
+
+* Nine different text files, named as `InputX.txt`, where $X$ is number of particles in the celestial space (for this problem, number of particles are: $16, 32, 64, 128, 256, 512, 1000, 2000$ and $16000$).
+* Dataset[3] consists of the masses of each particle and information about their initial positions and velocities along the three-dimensional axis.
+
+An example from the dataset[3] used is given below:
+(for a single particle, the values are approximated up to four decimal places for readability)
+
+```
+# Ordered as: label, mass (grams), position_x, position_y, position_z, velocity_x, velocity_y, velocity_z
+-1 0.0625 0.2148 -0.1204 -0.2661 0.7578 0.1576 -0.0715
+```
+
+## Compiled Methods
+
+We considered accelerators like [Numba](http://numba.pydata.org/),
+[Pythran](https://transonic.readthedocs.io/), and [Transonic](https://transonic.readthedocs.io/)
+for benchmarking.
+This decision is inspired by [Ralf Gommer's Presentation on SciPy 1.0](https://www.slideshare.net/RalfGommers/scipy-10-and-beyond-a-story-of-community-and-code)
+(conference [video](https://www.youtube.com/watch?v=oHmm3mPxg6Y)).
+We give brief details on a few of the accelerators below:
+
+### Numba
+
+> Numba is an open source JIT compiler that translates a subset of Python and NumPy code into fast machine code.
+
+
+
+Since Numba is a compiler focused on accelerating Python and NumPy codes,
+the user API of the library supports various decorators.
+It uses the industry-standard LLVM compiler library.
+It aims to translate the Python functions to optimized machine code during runtime.
+It supports variety of decorators like `@jit`, `@vectorize`, `@guvectorize`, `@stencil`, `@jitclass`, `@cfunc`, `@overload`.
+We are using `Just-In-Time` compilation in this work.
+It also supports `nopython` mode to generate fully compiled results
+without the need for intermediate Python interpreter calls.
+Numba's assistance to NumPy arrays and functions also makes it a good candidate for comparison.
+
+
+
+### Pythran
+
+> Pythran is an ahead of time compiler for a subset of the Python language, with a focus on scientific computing.
+
+
+
+Since the focus of Pythran was on accelerating Python and NumPy codes,
+its C++ API is the same as that of NumPy.
+Pythran also supports [Expression Templating](https://en.wikipedia.org/wiki/Expression_templates) and [SIMD](https://en.wikipedia.org/wiki/SIMD) instructions, which are its main advantages.
+It converts annotated Python modules into native Python modules, which are comparatively faster.
+But both have the same kind of interface.
+
+
+
+## Source Code
+
+* The code is inspired by Pierre Augier's work on N-Body Problem.
+* Visualization Code: here.
+
+
+
+
+
+
+
+ Algorithm & Source Code |
+ Implementation Details |
+
+
+ NumPy |
+ Vectorized Approach, Broadcasting Method, NumPy Arrays |
+
+
+ Python |
+ Standard Python Approach, Using List |
+
+
+ C++ |
+ C++ Implementation, GNU C++ Compiler |
+
+
+ Numba |
+ Just-In-time Compilation, Non-Vectorized Approach, Using Numba at the Backend via Transonic, NumPy Arrays |
+
+
+ Pythran |
+ Just-In-Time Compilation, Non-Vectorized Approach, Pythran at the Backend via Transonic, NumPy Arrays |
+
+
+
+
+## Results
+
+Table values represent the normalized time `time / nParticles^{2}` taken in seconds
+by each algorithm to run on the given datasets for $50$ number of iterations.
+The raw timing data can be downloaded from here.
+
+
+
+
+
+
+
+
+ Input(s) $\rightarrow$ |
+ 32 |
+ 64 |
+ 128 |
+ 256 |
+
+
+
+ NumPy |
+ 0.434 |
+ 0.243 |
+ 0.139 |
+ 0.0713 |
+
+
+ Python |
+ 0.838 |
+ 0.783 |
+ 0.82 |
+ 0.697 |
+
+
+ C++ |
+ 0.1001 |
+ 0.089 |
+ 0.089 |
+ 0.075 |
+
+ Numba |
+ 0.1007 |
+ 0.101 |
+ 0.106 |
+ 0.104 |
+
+
+ Pythran |
+ 0.02 |
+ 0.02 |
+ 0.019 |
+ 0.0203 |
+
+
+
+
+
+## Environment configuration
+
+* **CPU Model:** Intel(R) Core(TM) i7-10870H CPU @ 2.20GHz
+* **RAM GB:** 16
+* **RAM Model:** DDR4
+* **Speed:** 3200 MT/s
+* **Operating System:** Manjaro Linux 21.1.1, Pahvo
+* **Library Versions:**
+ * Python: 3.9.6
+ * NumPy: 1.20.3
+ * Numba: 0.54.0
+ * Pythran: 0.9.12.post1
+ * Transonic: 0.4.10
+ * GCC: 11.1.0
+* **Note:** The benchmarking is performed on the $4$ isolated CPU cores for accurate results.
+
+## Conclusion
+
+* NumPy is very efficient, especially for larger datasets.
+It performs $3.2$ times faster than Python for input size $64$,
+$5.8$ times faster for a dataset of size, $128$.
+It gives more than $9.7$ times better performance than Python for input size $256$.
+The performance of NumPy increases drastically as the number of particles in the datasets increases.
+Thanks to the vectorized approach in NumPy. Vectorization makes the code look clean and concise to read. That resulted in better performance without any explicit looping, indexing, etc.
+
+* It uses pre-compiled C code, which adds up to the performance of NumPy.
+The table shows that the performance of the NumPy is approaching the speed of C++ on increasing the input size.
+For a dataset of size $64$, NumPy is $2.7$ times slower than C++. For the dataset of size $128$,
+it reaches equivalent to the speed of C++, with a running time of $1.56$ times, faster than the time taken by C++.
+NumPy outperforms C++ by $1.05$ times for input size $256$.
+
+**How can we accelerate NumPy?**
+
+NumPy aims to improve itself and to give better performance for the end-users. It performs well in most cases.
+But to fill the gaps where NumPy is not so good various compiled methods
+like Numba, Pythran, etc are used. They play a huge role. Presently,
+we used Transonic's JIT Compilation at the backend for NumPy arrays to implement Numba & Pythran.
+To be specific, we want to compare NumPy's vectorized approach with the JIT-compiled non-vectorized approach.
+
+* We observed Numba performs $2.4$ times faster than NumPy for input size $64$
+and $1.31$ times faster for input size $128$.
+But later, NumPy outperforms Numba by $1.45$ times faster for input size $256$.
+* Pythran performs $12.15$ times faster for input size $64$,
+$7.31$ times better for input size $128$, and $3.51$ times faster than NumPy for input size $256$.
+
+We have compared the performance of NumPy with two of the most popular languages
+Python and C++, and with popular compiled methods like Numba and Pythran.
+We distinguished the remarkable change in the behaviour of NumPy as we increment the number of input sizes.
+NumPy initially performed equivalent to the speed of Python,
+but, later it changed its behavior from "python-like" nature to "compiled-like" behavior.
+The running time became similar to accelerators that are to increase the performance of the code.
+It achieves better performance for scientific computations
+as well as for solving real-life situations. That's NumPy.
+It stands explicitly well in all kinds of circumstances.
+
+## References
+
+1. [The issue for adding content on performance](https://github.com/numpy/numpy.org/issues/370)
+2. Wikipedia's Article on N-Body Problem
+3. Dataset used from Pierre Augier's repository