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+Q:\CUDA5.5\include\thrust/random.h
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+Q:\CUDA5.5\include\thrust/random/detail/mod.h
+Q:\CUDA5.5\include\thrust/random/detail/linear_congruential_engine.inl
+Q:\CUDA5.5\include\thrust/random/linear_feedback_shift_engine.h
+Q:\CUDA5.5\include\thrust/random/detail/linear_feedback_shift_engine_wordmask.h
+Q:\CUDA5.5\include\thrust/random/detail/linear_feedback_shift_engine.inl
+Q:\CUDA5.5\include\thrust/random/subtract_with_carry_engine.h
+Q:\CUDA5.5\include\thrust/random/detail/subtract_with_carry_engine.inl
+Q:\CUDA5.5\include\thrust/random/xor_combine_engine.h
+Q:\CUDA5.5\include\thrust/detail/type_traits.h
+Q:\CUDA5.5\include\thrust/detail/type_traits/has_trivial_assign.h
+Q:\CUDA5.5\include\thrust/random/detail/xor_combine_engine_max.h
+Q:\CUDA5.5\include\thrust/detail/mpl/math.h
+Q:\CUDA5.5\include\thrust/random/detail/xor_combine_engine.inl
+Q:\CUDA5.5\include\thrust/random/uniform_int_distribution.h
+Q:\CUDA5.5\include\thrust/pair.h
+Q:\CUDA5.5\include\thrust/detail/pair.inl
+Q:\CUDA5.5\include\thrust/detail/swap.h
+Q:\CUDA5.5\include\thrust/detail/integer_traits.h
+Q:\CUDA5.5\include\thrust/random/detail/uniform_int_distribution.inl
+Q:\CUDA5.5\include\thrust/random/uniform_real_distribution.h
+Q:\CUDA5.5\include\thrust/random/detail/uniform_real_distribution.inl
+Q:\CUDA5.5\include\thrust/random/normal_distribution.h
+Q:\CUDA5.5\include\thrust/random/detail/normal_distribution_base.h
+Q:\CUDA5.5\include\thrust/random/detail/normal_distribution.inl
+Q:\CUDA5.5\include\math_constants.h
+Q:\CUDA5.5\include\cuda.h
diff --git a/Part1/src/kernel.cu b/Part1/src/kernel.cu
index ee9b9e5..d1ae742 100644
--- a/Part1/src/kernel.cu
+++ b/Part1/src/kernel.cu
@@ -10,7 +10,7 @@ dim3 threadsPerBlock(blockSize);
 
 int numObjects;
 const float planetMass = 3e8;
-const __device__ float starMass = 5e10;
+const __device__ float starMass = 5e12;
 
 const float scene_scale = 2e2; //size of the height map in simulation space
 
@@ -18,6 +18,9 @@ glm::vec4 * dev_pos;
 glm::vec3 * dev_vel;
 glm::vec3 * dev_acc;
 
+
+
+
 void checkCUDAError(const char *msg, int line = -1)
 {
     cudaError_t err = cudaGetLastError();
@@ -87,21 +90,99 @@ __global__ void generateCircularVelArray(int time, int N, glm::vec3 * arr, glm::
 //		 HINT : You may want to write a helper function that will help you 
 //              calculate the acceleration contribution of a single body.
 //		 REMEMBER : F = (G * m_a * m_b) / (r_ab ^ 2)
+
+__device__ glm::vec3 accelerateone( glm::vec4 a_pos, glm::vec4 b_pos)
+{
+	glm::vec3 a_ab = glm::vec3(0.0f) ;
+
+	glm::vec3 r_a(a_pos.x, a_pos.y, a_pos.z);
+	glm::vec3 r_b(b_pos.x, b_pos.y, b_pos.z);
+	glm::vec3 r_ab = r_b - r_a;
+	float r = sqrt(r_ab.x*r_ab.x + r_ab.y*r_ab.y)+ EPSILON;
+
+	a_ab.x = (float)G * b_pos.w/(r*r*r)*r_ab.x;
+	a_ab.y = (float)G * b_pos.w/(r*r*r)*r_ab.y;
+	a_ab.z = (float)G * b_pos.w/(r*r*r)*r_ab.z;
+
+	 return a_ab;
+}
+
+
+// global memory
 __device__  glm::vec3 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos)
 {
-    return glm::vec3(0.0f);
+	//calculate the accelaration to center star at first
+	glm::vec3 returnAcc = accelerateone(my_pos, glm::vec4(0,0,0,starMass)) ;
+	
+	for(int index=0; index<N; index++){
+		
+			returnAcc += accelerateone(my_pos,their_pos[index]);
+	
+	}
+    return returnAcc;
 }
 
+
+
+//shared memory
+/*__device__ glm::vec3 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos)
+{
+    glm::vec3 returnAcc = accelerateone(my_pos, glm::vec4(0,0,0,starMass));
+
+	__shared__ glm::vec4 sharedPositions[blockSize];
+	int positionsFullBlocks = (int)ceil((float)N /(float)blockSize);
+	for(int i = 0; i < positionsFullBlocks; ++i)
+	{
+		int index = threadIdx.x + i * blockSize; // index on global memory
+		if(index < N)
+		{
+			sharedPositions[threadIdx.x] = their_pos[index];		
+		}
+		__syncthreads();
+
+		for(int j = 0; j < blockSize && j + i * blockSize < N; ++j) 
+		{
+			returnAcc += accelerateone(my_pos, sharedPositions[j]);
+		}
+
+		__syncthreads();
+
+	}
+    return returnAcc;
+}*/
+
+
 // TODO : update the acceleration of each body
 __global__ void updateF(int N, float dt, glm::vec4 * pos, glm::vec3 * vel, glm::vec3 * acc)
 {
 	// FILL IN HERE
+	// f = ma
+	int index = threadIdx.x + (blockIdx.x * blockDim.x);
+
+
+	if(index < N){
+		acc[index] = accelerate(N, pos[index], pos);
+	}
+	
+	//acc[index] += accelerate(N, *pos, pos);
 }
 
 // TODO : update velocity and position using a simple Euler integration scheme
 __global__ void updateS(int N, float dt, glm::vec4 * pos, glm::vec3 * vel, glm::vec3 * acc)
 {
-	// FILL IN HERE
+	//f(t+dt) = f_prime(t)*dt + f(t)
+	int index = threadIdx.x + (blockIdx.x * blockDim.x);
+	if(index<N){
+		//Eular Intergration
+		vel[index].x += acc[index].x*dt;
+		vel[index].y += acc[index].y*dt;
+		vel[index].z += acc[index].z*dt;
+
+		//Eular Intergration
+		pos[index].x += (vel[index]).x*dt;
+		pos[index].y += (vel[index]).y*dt;
+		pos[index].z += (vel[index]).z*dt;
+	}
 }
 
 // Update the vertex buffer object
@@ -137,14 +218,15 @@ __global__ void sendToPBO(int N, glm::vec4 * pos, float4 * pbo, int width, int h
     float c_scale_h = height / s_scale;
 
     glm::vec3 color(0.05, 0.15, 0.3);
-    glm::vec3 acc = accelerate(N, glm::vec4((x-w2)/c_scale_w,(y-h2)/c_scale_h,0,1), pos);
-
+	glm::vec3 acc(0,0,0);
+	//glm::vec3 acc = accelerate(N, glm::vec4((x-w2)/c_scale_w,(y-h2)/c_scale_h,0,1), pos);
+	//glm::vec3 acc = dev_acc[index];
     if(x<width && y<height)
     {
-        float mag = sqrt(sqrt(acc.x*acc.x + acc.y*acc.y + acc.z*acc.z));
+		float mag = sqrt(sqrt(acc.x*acc.x + acc.y*acc.y + acc.z*acc.z));
         
 		// Each thread writes one pixel location in the texture (textel)
-        pbo[index].w = (mag < 1.0f) ? mag : 1.0f;
+		pbo[index].w = (mag < 1.0f) ? mag : 1.0f;
     }
 }
 
@@ -180,6 +262,16 @@ void initCuda(int N)
 void cudaNBodyUpdateWrapper(float dt)
 {
 	// FILL IN HERE
+	// execution configuration <<< Dgrid, Dblock, Nsharedmemory >>> 
+	//dim3 fullBlocksPerGrid((int)ceil(float(width*height)/float(blockSize)));
+
+    dim3 fullBlocksPerGrid((int)ceil(float(numObjects)/float(blockSize)));
+	//printf("test print");
+	//dim3 fullBlocksPerGrid(1);
+	updateF<<<fullBlocksPerGrid, blockSize, blockSize*sizeof(glm::vec4)>>>(numObjects, dt, dev_pos, dev_vel, dev_acc);
+	//utilityCore::printVec4(*dev_pos);
+	updateS<<<fullBlocksPerGrid, blockSize, blockSize*sizeof(glm::vec4)>>>(numObjects, dt, dev_pos, dev_vel, dev_acc);
+
 }
 
 void cudaUpdateVBO(float * vbodptr, int width, int height)
diff --git a/Part1/src/main.cpp b/Part1/src/main.cpp
index ea86207..edebc1a 100644
--- a/Part1/src/main.cpp
+++ b/Part1/src/main.cpp
@@ -4,7 +4,7 @@
 
 #include "main.h"
 
-#define N_FOR_VIS 5000
+#define N_FOR_VIS 2000
 #define DT 0.2
 #define VISUALIZE 1
 //-------------------------------
@@ -16,6 +16,7 @@ int main(int argc, char** argv)
     // Launch CUDA/GL
 
     init(argc, argv);
+	
 
     cudaGLSetGLDevice(0);
     initPBO(&pbo);
diff --git a/Part2/CUDAMatricMath/CUDAMatricMath.sln b/Part2/CUDAMatricMath/CUDAMatricMath.sln
new file mode 100644
index 0000000..2d1a2d7
--- /dev/null
+++ b/Part2/CUDAMatricMath/CUDAMatricMath.sln
@@ -0,0 +1,20 @@
+
+Microsoft Visual Studio Solution File, Format Version 11.00
+# Visual Studio 2010
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "CUDAMatricMath", "CUDAMatricMath\CUDAMatricMath.vcxproj", "{615B7285-9C29-45D0-98E0-DBFAD80CF01E}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Win32 = Debug|Win32
+		Release|Win32 = Release|Win32
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{615B7285-9C29-45D0-98E0-DBFAD80CF01E}.Debug|Win32.ActiveCfg = Debug|Win32
+		{615B7285-9C29-45D0-98E0-DBFAD80CF01E}.Debug|Win32.Build.0 = Debug|Win32
+		{615B7285-9C29-45D0-98E0-DBFAD80CF01E}.Release|Win32.ActiveCfg = Release|Win32
+		{615B7285-9C29-45D0-98E0-DBFAD80CF01E}.Release|Win32.Build.0 = Release|Win32
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+EndGlobal
diff --git a/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj b/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj
new file mode 100644
index 0000000..1967b27
--- /dev/null
+++ b/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj
@@ -0,0 +1,85 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup Label="ProjectConfigurations">
+    <ProjectConfiguration Include="Debug|Win32">
+      <Configuration>Debug</Configuration>
+      <Platform>Win32</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Release|Win32">
+      <Configuration>Release</Configuration>
+      <Platform>Win32</Platform>
+    </ProjectConfiguration>
+  </ItemGroup>
+  <PropertyGroup Label="Globals">
+    <ProjectGuid>{615B7285-9C29-45D0-98E0-DBFAD80CF01E}</ProjectGuid>
+    <Keyword>Win32Proj</Keyword>
+    <RootNamespace>CUDAMatricMath</RootNamespace>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>true</UseDebugLibraries>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>false</UseDebugLibraries>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
+  <ImportGroup Label="ExtensionSettings">
+    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 5.5.props" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <PropertyGroup Label="UserMacros" />
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <LinkIncremental>true</LinkIncremental>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <LinkIncremental>false</LinkIncremental>
+  </PropertyGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <ClCompile>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>Disabled</Optimization>
+      <PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <AdditionalDependencies>cudart.lib;%(AdditionalDependencies)</AdditionalDependencies>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <ClCompile>
+      <WarningLevel>Level3</WarningLevel>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <Optimization>MaxSpeed</Optimization>
+      <FunctionLevelLinking>true</FunctionLevelLinking>
+      <IntrinsicFunctions>true</IntrinsicFunctions>
+      <PreprocessorDefinitions>WIN32;NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <EnableCOMDATFolding>true</EnableCOMDATFolding>
+      <OptimizeReferences>true</OptimizeReferences>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemGroup>
+    <CudaCompile Include="matrix_math.cu" />
+  </ItemGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
+  <ImportGroup Label="ExtensionTargets">
+    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 5.5.targets" />
+  </ImportGroup>
+</Project>
\ No newline at end of file
diff --git a/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj.filters b/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj.filters
new file mode 100644
index 0000000..b9e04f0
--- /dev/null
+++ b/Part2/CUDAMatricMath/CUDAMatricMath/CUDAMatricMath.vcxproj.filters
@@ -0,0 +1,20 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup>
+    <Filter Include="Source Files">
+      <UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier>
+      <Extensions>cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx</Extensions>
+    </Filter>
+    <Filter Include="Header Files">
+      <UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier>
+      <Extensions>h;hpp;hxx;hm;inl;inc;xsd</Extensions>
+    </Filter>
+    <Filter Include="Resource Files">
+      <UniqueIdentifier>{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}</UniqueIdentifier>
+      <Extensions>rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms</Extensions>
+    </Filter>
+  </ItemGroup>
+  <ItemGroup>
+    <CudaCompile Include="matrix_math.cu" />
+  </ItemGroup>
+</Project>
\ No newline at end of file
diff --git a/Part2/CUDAMatricMath/CUDAMatricMath/matrix_math.cu b/Part2/CUDAMatricMath/CUDAMatricMath/matrix_math.cu
new file mode 100644
index 0000000..068b361
--- /dev/null
+++ b/Part2/CUDAMatricMath/CUDAMatricMath/matrix_math.cu
@@ -0,0 +1,288 @@
+
+#include <stdio.h>
+#include <string>
+#include <stdlib.h>
+#include <cstdio>
+#include <sstream>
+#include <iostream>
+#include <cuda.h>
+#include <cmath>
+
+
+//initialize 2 5 x 5 matrices represented as an array of floats 
+//each of the entry is equal to its position (i.e. A_00 = 0, A_01 = 1, A_44 = 24)
+
+#define checkCUDAErrorWithLine(msg) checkCUDAError(msg, __LINE__)
+//enumeration for matrix function
+#define MATRIX_ADD        0
+#define MATRIX_SUB        1
+#define MATRIX_MUL        2
+
+const int Width = 5;    //matrix dimension
+const int TILE_WIDTH = 2;   //tile size
+const int size = Width*Width*sizeof(float);   //memory size of a matrix
+
+float * Md,* Nd,* Pd;
+
+
+
+void checkCUDAError(const char *msg, int line = -1)
+{
+    cudaError_t err = cudaGetLastError();
+    if( cudaSuccess != err)
+    {
+        if( line >= 0 )
+        {
+            fprintf(stderr, "Line %d: ", line);
+        }
+        fprintf(stderr, "Cuda error: %s: %s.\n", msg, cudaGetErrorString( err) ); 
+        exit(EXIT_FAILURE); 
+    }
+} 
+
+
+
+
+
+__global__ void parallel_matrix_add(float * Md, float * Nd, float * Ad)
+{
+  /*int Row = blockIdx.y * blockDim.y + threadIdx.y;
+  int Col = blockIdx.x * blockDim.x + threadIdx.x;
+
+  float Avalue = 0;
+  for (int k = 0; k < width; ++k)
+    Avalue += Md[Row * width + k] * Nd[k * width + Col];
+
+  Ad[Row * width + Col] = Avalue;*/
+
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	Ad[ty * Width + tx] = Md[ty * Width + tx ] + Nd[ty * Width + tx];
+}
+
+__global__ void parallel_matrix_sub(float * Md, float * Nd, float * Ad)
+{
+  /*int Row = blockIdx.y * blockDim.y + threadIdx.y;
+  int Col = blockIdx.x * blockDim.x + threadIdx.x;
+
+  float Avalue = 0;
+  for (int k = 0; k < width; ++k)
+    Avalue += Md[Row * width + k] * Nd[k * width + Col];
+
+  Ad[Row * width + Col] = Avalue;*/
+
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	Ad[ty * Width + tx] = Md[ty * Width + tx ] - Nd[ty * Width + tx];
+}
+
+
+__global__ void parallel_matrix_mul( float* Md, float* Nd, float* Pd)
+{
+  /*int Row = blockIdx.y * blockDim.y + threadIdx.y;
+  int Col = blockIdx.x * blockDim.x + threadIdx.x;
+
+  float Pvalue = 0;
+  for (int k = 0; k < Width; ++k)
+    Pvalue += Md[Row * Width + k] * Nd[k * Width + Col];
+
+  Pd[Row * Width + Col] = Pvalue;*/
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	float Pvalue = 0;
+	for(int k=0; k<Width; ++k){
+		Pvalue += Md[ty * Width + k] * Nd[k * Width + tx];
+	}
+	Pd[ty * Width + tx] = Pvalue;
+}
+
+
+
+
+
+
+
+//CUDA Data Transfer & parallel versioin
+void MatrixOnDevice(float *M, float *N, float *P, int width, int operation)
+{
+	//load Md and Nd to device memory
+	cudaMalloc((void**)&Md, size);
+	checkCUDAErrorWithLine("Kernel failed!");
+	cudaMemcpy(Md, M, size, cudaMemcpyHostToDevice);
+	checkCUDAErrorWithLine("Kernel failed!");
+
+	cudaMalloc((void**)&Nd, size);
+	checkCUDAErrorWithLine("Kernel failed!");
+	cudaMemcpy(Nd, N, size, cudaMemcpyHostToDevice);
+	checkCUDAErrorWithLine("Kernel failed!");
+
+	//alocate Pon the device
+	cudaMalloc((void**)&Pd, size);
+	checkCUDAErrorWithLine("Kernel failed!");
+
+	//kernel invocation
+	//dim3 dimGrid(Width/ TILE_WIDTH, Width/ TILE_WIDTH);
+	//dim3 dimBlock(TILE_WIDTH, TILE_WIDTH);
+	dim3 dimGrid(1,1);
+	dim3 dimBlock(Width, Width);
+
+	switch(operation){
+	case MATRIX_ADD:
+		parallel_matrix_add<<<dimGrid, dimBlock>>>(Md, Nd, Pd);
+		break;
+	case MATRIX_SUB:
+		parallel_matrix_sub<<<dimGrid, dimBlock>>>(Md, Nd, Pd);
+		break;
+	case MATRIX_MUL:
+		parallel_matrix_mul<<<dimGrid, dimBlock>>>(Md, Nd, Pd);
+		break;
+	}
+
+
+	//read P from device
+	cudaMemcpy(P, Pd, size, cudaMemcpyDeviceToHost);
+	checkCUDAErrorWithLine("Kernel failed!");
+
+	//free memory
+	cudaFree(Md);
+	cudaFree(Nd);
+	cudaFree(Pd);
+
+}
+
+
+//serial version
+void MatrixOnHost(float *M, float *N, float *P, int width, int operation)
+{
+	switch(operation){
+	case MATRIX_ADD:
+		 for( int i = 0; i< width; i++){
+			 for(int j=0; j<width; j++){
+				 P[i*width+j] = M[i*width+j] + N[i*width+j];
+			 }
+		 }
+		break;
+	case MATRIX_SUB:
+		 for( int i = 0; i< width; i++){
+			 for(int j=0; j<width; j++){
+				 P[i*width+j] = M[i*width+j] - N[i*width+j];
+			 }
+		 }
+		break;
+	case MATRIX_MUL:
+		 for( int i = 0; i< width; i++){
+			 for(int j=0; j<width; j++){
+				float sum = 0;
+				for (int k=0; k<width; k++){
+					sum += M[i*width+k] *N[k*width+j];
+				}
+				P[i*width+j] = sum;
+			 }
+		 }
+		break;
+	}
+}
+
+int main(int argc, char** argv)
+{
+	//initialize the entry matrix
+	float * entry, * entry1, * entry2, *entry3;  
+	entry = new float[Width*Width];
+	entry1 = new float[Width*Width];
+	entry2 = new float[Width*Width];
+	entry3 = new float[Width*Width];
+	for(int k=0; k<Width*Width; k++){
+		entry[k] = k;
+		//std::cout<<k<<std::endl;
+	}
+
+	entry1[0]=2; entry1[1]=1; entry1[2]=2; entry1[3]=1; entry1[4]=2; 
+	entry1[5]=4; entry1[6]=6; entry1[7]=1; entry1[8]=7; entry1[9]=1; 
+	entry1[10]=3; entry1[11]=3; entry1[12]=11; entry1[13]=2; entry1[14]=11; 
+	entry1[15]=18; entry1[16]=10; entry1[17]=9; entry1[18]=8; entry1[19]=12; 
+	entry1[20]=8; entry1[21]=5; entry1[22]=3; entry1[23]=14; entry1[24]=20; 
+
+	entry2[0]=5; entry2[1]=10; entry2[2]=20; entry2[3]=11; entry2[4]=2; 
+	entry2[5]=14; entry2[6]=3; entry2[7]=12; entry2[8]=17; entry2[9]=7; 
+	entry2[10]=2; entry2[11]=7; entry2[12]=10; entry2[13]=5; entry2[14]=6; 
+	entry2[15]=20; entry2[16]=3; entry2[17]=8; entry2[18]=13; entry2[19]=4; 
+	entry2[20]=18; entry2[21]=15; entry2[22]=9; entry2[23]=8; entry2[24]=2; 
+	/*std::cout<<"************Initial: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << entry[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}*/
+
+	float * result;   //pointer to the result
+	result = new float[Width*Width];
+
+	//host call for addition
+	MatrixOnDevice(entry, entry, result, Width, MATRIX_ADD);
+	std::cout<<"************Deivce Add Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+
+	//host call for subtraction
+	MatrixOnDevice(entry, entry, result, Width, MATRIX_SUB);
+	std::cout<<"************Deivce Sub Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+
+	//host call for multiply
+	MatrixOnDevice(entry, entry, result, Width, MATRIX_MUL);
+	std::cout<<"************Deivce Mul Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+
+
+
+	MatrixOnHost(entry, entry, result, Width, MATRIX_ADD);
+	std::cout<<"************Host Add Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+
+	MatrixOnHost(entry, entry, result, Width, MATRIX_SUB);
+	std::cout<<"************Host Sub Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+
+
+	MatrixOnHost(entry, entry, result, Width, MATRIX_MUL);
+	std::cout<<"************Host Mul Result: ************"<<std::endl;
+	for(int i=0; i<Width; i++){
+		std::stringstream ss;
+		for(int j=0; j<Width; j++){
+			ss << result[i*Width+j] <<" ";
+		}
+		std::cout<<ss.str()<<std::endl;
+	}
+	return 0;
+}
\ No newline at end of file
diff --git a/README.md b/README.md
index 70ae0d3..8647e1d 100644
--- a/README.md
+++ b/README.md
@@ -1,7 +1,22 @@
-Project 1
+Project 1: Introduction to CUDA
 =========
 
-# Project 1 : Introduction to CUDA
+# Answer to Qs
+
+
+How does changing the tile and block sizes change performance? Why?
+If the tile size becomes bigger, the access to global memory becomes less, hence faster the performance;
+If the block size becomes bigger, there will be more threads that can be executed parallel, hence faster the performance.
+
+
+How does changing the number of planets change performance? Why?
+Number of planets is reversely related to the performance, that is, the less the planet, the faster the performance. 
+It is because we have "N" iterations for each body, and time cost will reduce if "N" reduces.
+
+Without running experiments, how would you expect the serial and GPU verions of matrix_math to compare? Why?
+Serial version should be slower than parallel verion. 
+Because we don't have to wait to iterate through 5x5 entries in the matrix, instead, we do it parallelly, and simutaneously. 
+
 
 ## NOTE :
 This project (and all other projects in this course) requires a NVIDIA graphics
@@ -118,3 +133,5 @@ describe the changes you make between experiments and how you are benchmarking.
 Please commit your changes to your forked version of the repository and open a
 pull request.  Please write your performance analysis in your README.md.
 Remember to email Harmony (harmoli+CIS565@seas.upenn.edu) your grade and why.
+
+