diff --git a/GPU information.bmp b/GPU information.bmp
new file mode 100644
index 0000000..3ebf812
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diff --git a/Part1/PROJ_WIN/CIS565_PROJ_1.suo b/Part1/PROJ_WIN/CIS565_PROJ_1.suo
index ad46c84..451534b 100644
Binary files a/Part1/PROJ_WIN/CIS565_PROJ_1.suo and b/Part1/PROJ_WIN/CIS565_PROJ_1.suo differ
diff --git a/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj b/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj
index 4c88226..634d674 100644
--- a/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj
+++ b/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj
@@ -20,6 +20,7 @@
     <UseDebugLibraries>true</UseDebugLibraries>
     <CharacterSet>MultiByte</CharacterSet>
     <PlatformToolset>v100</PlatformToolset>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
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@@ -30,7 +31,7 @@
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   <ImportGroup Label="ExtensionSettings">
-    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 5.5.props" />
+    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 6.5.props" />
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@@ -47,7 +48,7 @@
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-      <PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+      <PreprocessorDefinitions>_MBCS;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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@@ -62,7 +63,7 @@
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-      <CodeGeneration>compute_10,sm_10;compute_20,sm_20;compute_30,sm_30</CodeGeneration>
+      <CodeGeneration>compute_20,sm_20</CodeGeneration>
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@@ -85,6 +86,7 @@
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 </Project>
\ No newline at end of file
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new file mode 100644
index 0000000..e69de29
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new file mode 100644
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diff --git a/Part1/PROJ_WIN/src/kernel.cu.deps b/Part1/PROJ_WIN/src/kernel.cu.deps
index 926dd55..8aca305 100644
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+++ b/Part1/PROJ_WIN/src/kernel.cu.deps
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+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\mmintrin.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\crtdefs.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\mm3dnow.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\crtdefs.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\mmintrin.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfwrap1
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xxshared
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\istream
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\ostream
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\ios
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xlocnum
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\streambuf
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xiosbase
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xlocale
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\stdexcept
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xstring
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xlocinfo
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xlocinfo.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\ctype.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\crtdefs.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\locale.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\crtdefs.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xdebug
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\system_error
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\cerrno
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\errno.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\crtdefs.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\share.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\iterator
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\sstream
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\string
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\vector
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\xfunctional
+d:\graduate\second-year-first-semester\cis-565\project-1\part1\src\cudaMat4.h
+d:\graduate\second-year-first-semester\cis-565\project-1\part1\src\glm/glm.hpp
+d:\graduate\second-year-first-semester\cis-565\project-1\part1\src\glm\core/_fixes.hpp
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\cuda_runtime.h
+d:\graduate\second-year-first-semester\cis-565\project-1\part1\src\kernel.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/config.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/simple_defines.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/compiler.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\cuda.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/host_system.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/device_system.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/host_device.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\host_defines.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/debug.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/compiler_fence.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/forceinline.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/hd_warning_disable.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/config/global_workarounds.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/cstdint.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/discard_block_engine.h
+C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\iostream
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/random_core_access.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/discard_block_engine.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/linear_congruential_engine.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_congruential_engine_discard.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/mod.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_congruential_engine.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/linear_feedback_shift_engine.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_feedback_shift_engine_wordmask.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_feedback_shift_engine.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/subtract_with_carry_engine.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/subtract_with_carry_engine.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/xor_combine_engine.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/type_traits.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/type_traits/has_trivial_assign.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/xor_combine_engine_max.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/mpl/math.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/xor_combine_engine.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/uniform_int_distribution.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/pair.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/pair.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/swap.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/integer_traits.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/uniform_int_distribution.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/uniform_real_distribution.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/uniform_real_distribution.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/normal_distribution.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/normal_distribution_base.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/normal_distribution.inl
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\math_constants.h
+C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\cuda.h
diff --git a/Part1/src/kernel.cu b/Part1/src/kernel.cu
index ee9b9e5..6ae144b 100644
--- a/Part1/src/kernel.cu
+++ b/Part1/src/kernel.cu
@@ -4,6 +4,7 @@
 #include "glm/glm.hpp"
 #include "utilities.h"
 #include "kernel.h"
+#include <iostream>
 
 //GLOBALS
 dim3 threadsPerBlock(blockSize);
@@ -28,6 +29,7 @@ void checkCUDAError(const char *msg, int line = -1)
             fprintf(stderr, "Line %d: ", line);
         }
         fprintf(stderr, "Cuda error: %s: %s.\n", msg, cudaGetErrorString( err) ); 
+		system("pause");
         exit(EXIT_FAILURE); 
     }
 } 
@@ -87,21 +89,57 @@ __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 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos)
+__device__ glm::vec3 TwoAcc(glm::vec4 my_pos, glm::vec4 their_pos)
 {
-    return glm::vec3(0.0f);
+	glm::vec3 tempacc(0,0,0);
+	glm::vec3 dist = glm::vec3(their_pos.x - my_pos.x ,their_pos.y - my_pos.y,their_pos.z - my_pos.z);
+	float mag = dist.x*dist.x + dist.y*dist.y + dist.z*dist.z;
+
+	if(mag > 0.01f)
+	{
+		float forcef = (G * their_pos.w)/mag;
+	    tempacc = glm::normalize(dist) * forcef;
+	}
+    
+	return tempacc;
+}
+
+
+__device__ glm::vec3 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos)
+{	
+	glm::vec3 acc = TwoAcc(my_pos,glm::vec4(0,0,0,starMass));
+    for(int i=0;i<N;i++)
+		acc += TwoAcc(my_pos,their_pos[i]);
+
+	return acc;
 }
 
 // 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
+	int index = (blockIdx.x * blockDim.x) + threadIdx.x;
+	if(index<N)
+	{
+	    glm::vec4 my_pos = pos[index];	
+		glm::vec3 newacc = accelerate(N,my_pos,pos);
+		acc[index] = newacc;
+	}
 }
 
 // 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
+	int index = (blockIdx.x * blockDim.x) + threadIdx.x;
+
+	if(index < N)
+	{
+		vel[index] = vel[index] + dt * acc[index];
+		pos[index].x = pos[index].x + dt * vel[index].x;
+		pos[index].y = pos[index].y + dt * vel[index].y;
+		pos[index].z = pos[index].z + dt * vel[index].z;
+	}
 }
 
 // Update the vertex buffer object
@@ -137,13 +175,13 @@ __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 = TwoAcc(glm::vec4((x-w2)/c_scale_w,(y-h2)/c_scale_h,0,1), pos[index]);
+	glm::vec3 acc = glm::vec3(0,0,0);
     if(x<width && y<height)
     {
         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)
+		//Each thread writes one pixel location in the texture (textel)
         pbo[index].w = (mag < 1.0f) ? mag : 1.0f;
     }
 }
@@ -180,6 +218,10 @@ void initCuda(int N)
 void cudaNBodyUpdateWrapper(float dt)
 {
 	// FILL IN HERE
+	dim3 fullBlocksPerGrid((int)ceil(float(numObjects)/float(blockSize)));
+	updateF<<<fullBlocksPerGrid,blockSize>>>(numObjects,dt,dev_pos,dev_vel,dev_acc);
+	updateS<<<fullBlocksPerGrid,blockSize>>>(numObjects,dt,dev_pos,dev_vel,dev_acc);
+	cudaThreadSynchronize();
 }
 
 void cudaUpdateVBO(float * vbodptr, int width, int height)
diff --git a/Part1/src/main.cpp b/Part1/src/main.cpp
index ea86207..4d99a07 100644
--- a/Part1/src/main.cpp
+++ b/Part1/src/main.cpp
@@ -5,7 +5,7 @@
 #include "main.h"
 
 #define N_FOR_VIS 5000
-#define DT 0.2
+#define DT 0.1
 #define VISUALIZE 1
 //-------------------------------
 //-------------MAIN--------------
diff --git a/Part2/BoZhang_Project1/BoZhang_Project1.sln b/Part2/BoZhang_Project1/BoZhang_Project1.sln
new file mode 100644
index 0000000..fe1c3e5
--- /dev/null
+++ b/Part2/BoZhang_Project1/BoZhang_Project1.sln
@@ -0,0 +1,26 @@
+
+Microsoft Visual Studio Solution File, Format Version 11.00
+# Visual Studio 2010
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "BoZhang_Project1", "BoZhang_Project1\BoZhang_Project1.vcxproj", "{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Win32 = Debug|Win32
+		Debug|x64 = Debug|x64
+		Release|Win32 = Release|Win32
+		Release|x64 = Release|x64
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Debug|Win32.ActiveCfg = Debug|Win32
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Debug|Win32.Build.0 = Debug|Win32
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Debug|x64.ActiveCfg = Debug|x64
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Debug|x64.Build.0 = Debug|x64
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Release|Win32.ActiveCfg = Release|Win32
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Release|Win32.Build.0 = Release|Win32
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Release|x64.ActiveCfg = Release|x64
+		{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}.Release|x64.Build.0 = Release|x64
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+EndGlobal
diff --git a/Part2/BoZhang_Project1/BoZhang_Project1/BoZhang_Project1.vcxproj b/Part2/BoZhang_Project1/BoZhang_Project1/BoZhang_Project1.vcxproj
new file mode 100644
index 0000000..388c751
--- /dev/null
+++ b/Part2/BoZhang_Project1/BoZhang_Project1/BoZhang_Project1.vcxproj
@@ -0,0 +1,156 @@
+<?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="Debug|x64">
+      <Configuration>Debug</Configuration>
+      <Platform>x64</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Release|Win32">
+      <Configuration>Release</Configuration>
+      <Platform>Win32</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Release|x64">
+      <Configuration>Release</Configuration>
+      <Platform>x64</Platform>
+    </ProjectConfiguration>
+  </ItemGroup>
+  <PropertyGroup Label="Globals">
+    <ProjectGuid>{F4F608A2-0A2D-44B5-B46B-A48CD3905D1B}</ProjectGuid>
+    <RootNamespace>BoZhang_Project1</RootNamespace>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>true</UseDebugLibraries>
+    <CharacterSet>MultiByte</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>true</UseDebugLibraries>
+    <CharacterSet>MultiByte</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>false</UseDebugLibraries>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
+    <CharacterSet>MultiByte</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>false</UseDebugLibraries>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
+    <CharacterSet>MultiByte</CharacterSet>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
+  <ImportGroup Label="ExtensionSettings">
+    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 6.5.props" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(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)|$(Platform)'=='Debug|x64'">
+    <Import Project="$(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.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
+    <Import Project="$(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)|$(Platform)'=='Debug|x64'">
+    <LinkIncremental>true</LinkIncremental>
+  </PropertyGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <ClCompile>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>Disabled</Optimization>
+      <PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <SubSystem>Console</SubSystem>
+      <AdditionalDependencies>cudart.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
+    </Link>
+    <PostBuildEvent>
+      <Command>echo copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"
+copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"</Command>
+    </PostBuildEvent>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
+    <ClCompile>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>Disabled</Optimization>
+      <PreprocessorDefinitions>WIN32;WIN64;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <SubSystem>Console</SubSystem>
+      <AdditionalDependencies>cudart.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
+    </Link>
+    <PostBuildEvent>
+      <Command>echo copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"
+copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"</Command>
+    </PostBuildEvent>
+    <CudaCompile>
+      <TargetMachinePlatform>64</TargetMachinePlatform>
+    </CudaCompile>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <ClCompile>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>MaxSpeed</Optimization>
+      <FunctionLevelLinking>true</FunctionLevelLinking>
+      <IntrinsicFunctions>true</IntrinsicFunctions>
+      <PreprocessorDefinitions>WIN32;NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <EnableCOMDATFolding>true</EnableCOMDATFolding>
+      <OptimizeReferences>true</OptimizeReferences>
+      <SubSystem>Console</SubSystem>
+      <AdditionalDependencies>cudart.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
+    </Link>
+    <PostBuildEvent>
+      <Command>echo copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"
+copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"</Command>
+    </PostBuildEvent>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
+    <ClCompile>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>MaxSpeed</Optimization>
+      <FunctionLevelLinking>true</FunctionLevelLinking>
+      <IntrinsicFunctions>true</IntrinsicFunctions>
+      <PreprocessorDefinitions>WIN32;WIN64;NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+    </ClCompile>
+    <Link>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+      <EnableCOMDATFolding>true</EnableCOMDATFolding>
+      <OptimizeReferences>true</OptimizeReferences>
+      <SubSystem>Console</SubSystem>
+      <AdditionalDependencies>cudart.lib;kernel32.lib;user32.lib;gdi32.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies)</AdditionalDependencies>
+    </Link>
+    <PostBuildEvent>
+      <Command>echo copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"
+copy "$(CudaToolkitBinDir)\cudart*.dll" "$(OutDir)"</Command>
+    </PostBuildEvent>
+    <CudaCompile>
+      <TargetMachinePlatform>64</TargetMachinePlatform>
+    </CudaCompile>
+  </ItemDefinitionGroup>
+  <ItemGroup>
+    <CudaCompile Include="matrix_math.cu" />
+  </ItemGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
+  <ImportGroup Label="ExtensionTargets">
+    <Import Project="$(VCTargetsPath)\BuildCustomizations\CUDA 6.5.targets" />
+  </ImportGroup>
+</Project>
\ No newline at end of file
diff --git a/Part2/BoZhang_Project1/BoZhang_Project1/matrix_math.cu b/Part2/BoZhang_Project1/BoZhang_Project1/matrix_math.cu
new file mode 100644
index 0000000..9c044f2
--- /dev/null
+++ b/Part2/BoZhang_Project1/BoZhang_Project1/matrix_math.cu
@@ -0,0 +1,227 @@
+
+#include "cuda_runtime.h"
+#include "device_launch_parameters.h"
+#include <iostream>
+#include <stdio.h>
+
+__global__ void mat_add(float *A,float *B,float *C,int width)
+{
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	float M = A[ty*width + tx];
+	float N = B[ty*width + tx];
+	C[ty*width + tx] = M+N;
+}
+
+__global__ void mat_sub(float *A,float *B,float *C,int width)
+{
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	float M = A[ty*width + tx];
+	float N = B[ty*width + tx];
+	C[ty*width + tx] = M-N;
+}
+
+__global__ void mat_mult(float *A,float *B,float *C,int width)
+{
+	int tx = threadIdx.x;
+	int ty = threadIdx.y;
+	float Cvalue = 0;
+	for(int i=0;i<width;i++)
+	{
+		float M = A[ty*width + i];
+		float N = B[i*width + tx];
+		Cvalue += M*N;
+	}
+
+	C[ty*width + tx] = Cvalue;
+}
+
+
+//Single Thread
+void s_mat_add(float *A,float *B,float *C,int width)
+{
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			float M = A[i*width + j];
+	        float N = B[i*width + j];
+			C[i*width + j] = M+N;
+		}
+	}	
+}
+
+void s_mat_sub(float *A,float *B,float *C,int width)
+{
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			float M = A[i*width + j];
+	        float N = B[i*width + j];
+			C[i*width + j] = M-N;
+		}
+	}	
+}
+
+void s_mat_mul(float *A,float *B,float *C,int width)
+{
+		
+	float Cvalue = 0.0f;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			for(int k=0;k<width;k++)
+			{
+				float M = A[i*width + k];
+	            float N = B[j + k*width];
+			    Cvalue += M*N;
+			}
+
+			C[i*width + j] = Cvalue;
+			Cvalue = 0.0f;
+		}	
+	}	
+
+	
+}
+
+int main()
+{
+	//Matrix for test
+	float *A,*B,*P;
+	int width = 5;
+	A = new float[width*width];
+    B = new float[width*width];
+	P = new float[width*width];
+
+    for(int i=0;i<width*width;i++)
+	{
+		A[i] = i;
+		B[i] = i;
+	}
+
+	std::cout<<"Input1:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<A[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+	std::cout<<"Input2:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<B[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+	float *Ad,*Bd,*Pd;
+	cudaMalloc((void**)&Ad,sizeof(float)*width*width);
+	cudaMalloc((void**)&Bd,sizeof(float)*width*width);
+	cudaMalloc((void**)&Pd,sizeof(float)*width*width);
+	cudaMemcpy(Ad, A, width*width * sizeof(int), cudaMemcpyHostToDevice);
+	cudaMemcpy(Bd, B, width*width * sizeof(int), cudaMemcpyHostToDevice);
+	dim3 dimBlock(width,width);
+	dim3 dimGrid(1,1);
+
+	//Add
+	mat_add<<<dimGrid,dimBlock>>> (Ad,Bd,Pd,width);
+	cudaMemcpy(P, Pd, width*width * sizeof(int), cudaMemcpyDeviceToHost);
+
+	std::cout<<"Add:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+	//Sub
+	mat_sub<<<dimGrid,dimBlock>>> (Ad,Bd,Pd,width);
+	cudaMemcpy(P, Pd, width*width * sizeof(int), cudaMemcpyDeviceToHost);
+
+	std::cout<<"Sub:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+	//Mul
+	mat_mult<<<dimGrid,dimBlock>>> (Ad,Bd,Pd,width);
+	cudaMemcpy(P, Pd, width*width * sizeof(int), cudaMemcpyDeviceToHost);
+
+	std::cout<<"Multiple:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+
+	//Add
+	std::cout<<"Single Thread:"<<std::endl;
+	s_mat_add(A,B,P,width);
+	std::cout<<"Add:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+	//Sub
+    s_mat_sub(A,B,P,width);
+	std::cout<<"Sub:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+
+	//Mul
+    s_mat_mul(A,B,P,width);
+	std::cout<<"Mul:"<<std::endl;
+	for(int i=0;i<width;i++)
+	{
+		for(int j=0;j<width;j++)
+		{
+			std::cout<<P[i*width + j]<<" ";
+		}
+		std::cout<<std::endl;
+	}
+	std::cout<<std::endl;
+
+	cudaFree(Ad);
+	cudaFree(Bd);
+	cudaFree(Pd);
+    return 0;
+}
diff --git a/README.md b/README.md
index 6f7c863..8da05dc 100644
--- a/README.md
+++ b/README.md
@@ -1,120 +1,37 @@
-Project 1
-=========
+For part 2, I change the acc in sendToPBO() as vec3(0,0,0), as the adapter will crash if I don't make this change.
 
-# Project 1 : Introduction to CUDA
-
-## NOTE :
-This project (and all other projects in this course) requires a NVIDIA graphics
-card with CUDA capabilityi!  Any card with compute capability 2.0 and up will
-work.  This means any card from the GeForce 400 and 500 series and afterwards
-will work.  If you do not have a machine with these specs, feel free to use
-computers in the SIG Lab.  All computers in SIG lab and Moore 100 C have CUDA 
-capable cards and should already have the CUDA SDK installed. 
-
-## PART 1 : INSTALL NSIGHT
-To help with benchmarking and performance analysis, we will be using NVIDIA's
-profiling and debugging tool named NSight. Download and install it from the
-following link for whichever IDE you will be using:
-http://www.nvidia.com/object/nsight.html. 
-
-NOTE : If you are using Linux / Mac, most of the screenshots and class usage of
-NSight will be in Visual Studio.  You are free to use to the Eclipse version
-NSight during these in class labs, but we will not be able to help you as much.
-
-## PART 2 : NBODY SIMULATION
-To get you used to using CUDA kernels, we will be writing a simple 2D nbody 
-simulator.  The following source files are included in the project:
-
-* main.cpp : sets up graphics stuff for visualization
-* kernel.cu : this contains the CUDA kernel calls
-
-All the code that you will need to modify is in kernel.cu and is marked clearly
-by TODOs.
-
-## PART 3 : MATRIX MATH
-In this portion we will walk you through setting up a project that writes some
-simple matrix math functions. Please put this portion in a folder marked Part2
-in your repository. 
-
-### Step 1 : Create your project.
-Using the instructions on the Google forum, please set up a new Visual Studio project that
-compiles using CUDA. For uniformity, please write your main function and all
-your code in a file named matrix_math.cu.
-
-### Step 2 : Setting up CUDA memory.
-As we discussed in class, there is host memory and device memory.  Host memory
-is the memory that exists on the CPU, whereas device memory is memory on the
-GPU.  
-
-In order to create/reserve memory on the GPU, we need to explicitly do so
-using cudaMalloc.  By calling cudaMalloc, we are calling malloc on the GPU to
-reserve a portion of its memory.  Like malloc, cudaMalloc simply mallocs a
-portion of memory and returns a pointer. This memory is only accessible on the
-device unless we explicitly copy memory from the GPU to the CPU.  The reverse is
-also true.  
-
-We can copy memory to and from the GPU using the function cudaMemcpy. Like the
-POSIX C memcpy, you will need to specify the size of memory you are copying.
-The last argument is used to specify the direction of the copy (from GPU to CPU
-or the other way around).
-
-Please initialize 2 5 x 5 matrices represented as an array of floats on the CPU
-and the GPU where each of the entry is equal to its position (i.e. A_00 = 0,
-A_01 = 1, A_44 = 24). 
-
-### Step 3 : Creating CUDA kernels. 
-In the previous part, we explicitly divided the CUDA kernels from the rest of
-the file for stylistic purposes.  Since there will be far less code in this
-project, we will write the global and device functions in the same file as the
-main function.
-
-Given a matrix A and matrix B (both represented as arrays of floats), please
-write the following functions :
-* mat_add : A + B
-* mat_sub : A - B
-* mat_mult : A * B
-
-You may assume for all matrices that the dimensions of A and B are the same and
-that they are square.
+## PART 4 : PERFORMANCE ANALYSIS
+1.How does changing the tile and block sizes change performance? Why?
+Test when setting particle number as 5000
+block sizes  estimated average FPS
+  128              5.01
+  256              4.88
+  512              4.92
+  1024             4.60
 
-Use the 2 5 x 5 matrices to test your code either by printing directly to the
-console or writing an assert.
+It seems that block sizes don't have much influence on the performance. 
 
-THINGS TO REMEMBER :
-* global and device functions only have access to memory that is explicitly on
-  the device, meaning you MUST copy memory from the CPU to the GPU if you would
-  like to use it there
-* The triple triangle braces "<<<" begin and end the global function call.  This
-  provides parameters with which CUDA uses to set up tile size, block size and
-  threads for each warp.
-* Do not fret if Intellisense does not understand CUDA keywords (if they have
-  red squiggly lines underneath CUDA keywords).  There is a way to integrate
-  CUDA syntax highlighting into Visual Studio, but it is not the default.
+Why: I think the global memory has long latency and thus most of the computing time for each frame is spent on writing/reading global memory. Therefore,
+the block sizes don't have much influence on the performance. 
+  
 
-### Step 4 : Write a serial version.
-For comparison, write a single-threaded CPU version of mat_add, mat_sub and
-mat_mult. We will not introduce timing elements in this homework, but please
-keep them in mind as the upcoming lab will introduce more on this topic. 
+2.How does changing the number of planets change performance? Why?
+Test when set block sizes as 128
+particles  estimated average FPS
+  100              60.00
+  500              60.00
+  1000             60.00
+  5000              5.02
+  10000             1.31
 
-## PART 4 : PERFORMANCE ANALYSIS
-Since this is the first assignment, we will guide you with some example
-questions.  In future assignments, please answer at least these questions, as
-they go through basic performance analysis.  Please go above and beyond the
-questions we suggest and explore how different aspects of your code impact
-performance as a whole. 
+The performance is good when particle number is low and become slower when I set larger particle number. 
 
-We have provided a frame counter as a metric, but feel free to add cudaTimers,
-etc. to do more fine-grained benchmarking of various aspects. 
+Why: When the particle number is low, the memory latency is not shown as we have enough threads to hide it. But when we have large particle number,
+(when the latency can't be hidden even we use all threads) the latency will increase with the increase of global memory.
 
-NOTE : Performance should be measured in comparison to a baseline.  Be sure to
-describe the changes you make between experiments and how you are benchmarking.
+3.Without running experiments, how would you expect the serial and GPU verions of matrix_math to compare? Why?
+I think the serial and GPU verions of matrix_math will both perform well when the size of matrix is small. But when the size of matrix is large, the GPU version 
+wroks much faster than the serial version.
 
-* How does changing the tile and block sizes change performance? Why?
-* How does changing the number of planets change performance? Why?
-* Without running experiments, how would you expect the serial and GPU verions
-  of matrix_math to compare?  Why?
+Why:The GPU version is multi-threads, while the serial version is single thread. And when matrix size is large, GPU version is faster as it has fewer loops.
 
-## SUBMISSION
-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.