From: miha-q <>
Date: Thu, 7 Mar 2024 23:07:24 +0000 (-0500)
Subject: Thu Mar  7 06:07:24 PM EST 2024
X-Git-Url: http://www.foleosoft.com/?a=commitdiff_plain;h=3aa9e13fb9c457f0331f52464fc41cff42c226fd;p=QAnsel.git

Thu Mar  7 06:07:24 PM EST 2024
---

diff --git a/src/.kernel.tmp.1 b/src/.kernel.tmp.1
index 42aa607..253271d 100644
--- a/src/.kernel.tmp.1
+++ b/src/.kernel.tmp.1
@@ -215,3 +215,75 @@ __kernel void kernel_knk_2x2_R
         }
     }
 }
+
+
+__kernel void kernel_knk_2x2_Rx4
+(
+    __global float* ptrR,
+    __global float* ptrA,
+    const int rowsA,
+    const int colsA,
+    const float gate0,
+    const float gate1,
+    const float gate2,
+    const float gate3,
+    const float gate4,
+    const float gate5,
+    const float gate6,
+    const float gate7
+)
+{
+    const int rowsR = rowsA * 2;
+    const int colsR = colsA * 2;
+    const int block = get_global_id(0) * 8; //{gpu_only}
+
+    for (int rowR = block; rowR < block + 8; rowR += 2)
+    {
+        for (int colR = 0; colR < colsR; colR += 2)
+        {
+            const int rowA = rowR / 2;
+            const int colA = colR / 2;
+            const int posA = rowA * (colsA * 2) + (colA * 2);
+            const float rA = ptrA[posA];
+            const float iA = ptrA[posA + 1];
+
+            for (int i = 0; i < 4; i++)
+            {
+                float rB, iB;
+                switch (i)
+                {
+                    case 0: rB = gate0; iB = gate1; break;
+                    case 1: rB = gate2; iB = gate3; break;
+                    case 2: rB = gate4; iB = gate5; break;
+                    case 3: rB = gate6; iB = gate7; break;
+                }
+
+                //(rA + iA)(rB + iB)
+                const float first = rA * rB;
+                const float outer = rA * iB;
+                const float inner = iA * rB;
+                const float lasts = iA * iB;
+                switch (i)
+                {
+                    case 0:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 1:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                    case 2:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 3:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                }
+
+            }
+        }
+    }
+}
diff --git a/src/.kernel.tmp.2 b/src/.kernel.tmp.2
index 4b056f1..7745e0b 100644
Binary files a/src/.kernel.tmp.2 and b/src/.kernel.tmp.2 differ
diff --git a/src/QAnsel.c b/src/QAnsel.c
index 2b03721..72625f4 100644
--- a/src/QAnsel.c
+++ b/src/QAnsel.c
@@ -227,6 +227,18 @@ void qansel_instruction(cpx_mtx_t* stateVector, unsigned char qubitCount, QInstr
 		cpx_mtx_knk_metal_2x2_R(tmp.ptr, filter.ptr, gate.ptr, filter.rows, filter.cols, gate.rows, gate.cols);
 		us2 = get_time();
 		printf("\tMetal2x2_R: %lu\n", us2 - us1);
+
+		if (filter.rows / 8 == 0)
+		{
+			printf("\tMetal2x2_Rx4: Invalid\n");
+		}
+		else
+		{
+			us1 = get_time();
+			cpx_mtx_knk_metal_2x2_Rx4(tmp.ptr, filter.ptr, gate.ptr, filter.rows, filter.cols, gate.rows, gate.cols);
+			us2 = get_time();
+			printf("\tMetal2x2_Rx4: %lu\n", us2 - us1);
+		}
 		
 		us1 = get_time();
 		for (int i = 0; i < filter.rows; i++)
@@ -267,7 +279,12 @@ void qansel_instruction(cpx_mtx_t* stateVector, unsigned char qubitCount, QInstr
 		}
 		else
 		{
-			cpx_mtx_knk_2x2(tmp.ptr, filter.ptr, gate.ptr, filter.rows, filter.cols, gate.rows, gate.cols);
+			if (filter.rows / 8  == 0)
+				cpx_mtx_knk_2x2_R
+					(tmp.ptr, filter.ptr, gate.ptr, filter.rows, filter.cols, gate.rows, gate.cols);
+			else
+				cpx_mtx_knk_2x2_Rx4
+					(tmp.ptr, filter.ptr, gate.ptr, filter.rows, filter.cols, gate.rows, gate.cols);
 		}
 		#endif
 
@@ -1433,7 +1450,7 @@ void main(int argc, char** argv)
 	USE_GPU = cpx_mtx_begin();
 	RANDOM_FILE = fopen("/dev/TrueRNG0", "r");
 	if (!RANDOM_FILE) RANDOM_FILE = fopen("/dev/random", "r");
-	USE_GPU = 1;
+	USE_GPU = 0;
 	USE_THREADS = 0;
 	process(argc, argv);
 	fclose(RANDOM_FILE);
diff --git a/src/complex.c b/src/complex.c
index e29fe76..52508c8 100644
--- a/src/complex.c
+++ b/src/complex.c
@@ -158,6 +158,26 @@ void cpx_mtx_knk_2x2(float* ptrR, float* ptrA, float* ptrB, int rowsA, int colsA
     }
 }
 
+void cpx_mtx_knk_2x2_R(float* ptrR, float* ptrA, float* ptrB, int rowsA, int colsA, int rowsB, int colsB)
+{
+	int rowsR = rowsA * rowsB;
+	int colsR = colsA * colsB;
+    for (int i = 0; i < rowsR / 2; i++)
+    {
+			kernel_knk_2x2_R(ptrR, ptrA, rowsA, colsA, ptrB[0], ptrB[1], ptrB[2], ptrB[3], ptrB[4], ptrB[5], ptrB[6], ptrB[7], i);
+    }
+}
+
+void cpx_mtx_knk_2x2_Rx4(float* ptrR, float* ptrA, float* ptrB, int rowsA, int colsA, int rowsB, int colsB)
+{
+	int rowsR = rowsA * rowsB;
+	int colsR = colsA * colsB;
+    for (int i = 0; i < rowsR / 8; i++)
+    {
+			kernel_knk_2x2_Rx4(ptrR, ptrA, rowsA, colsA, ptrB[0], ptrB[1], ptrB[2], ptrB[3], ptrB[4], ptrB[5], ptrB[6], ptrB[7], i);
+    }
+}
+
 /*-----------------------------------------------------------------------------------*/
 /*THREADED*/
 /*-----------------------------------------------------------------------------------*/
@@ -757,6 +777,110 @@ void cpx_mtx_knk_metal_2x2_R(float* ptrR, float* ptrA, float* ptrB, int rowsA, i
 }
 
 
+//This only works if ptrA is NxM where both N and X are divisible by two,
+//	and ptrB is 2x2. If both are true, this is much more efficient than
+//	the standard knk_metal() function. 
+void cpx_mtx_knk_metal_2x2_Rx4(float* ptrR, float* ptrA, float* ptrB, int rowsA, int colsA, int rowsB, int colsB)
+{
+	int rowsR = rowsA * rowsB;
+	int colsR = colsA * colsB;
+	//Create buffers
+	size_t sizeR = ((colsR * 2) * rowsR) * sizeof(float);
+	size_t sizeA = ((colsA * 2) * rowsA) * sizeof(float);
+	cl_int err;
+	cl_mem memA = clCreateBuffer(cpx_mtx_context, CL_MEM_READ_ONLY, sizeA, NULL, &err); gpuerr(clCreateBuffer);
+	cl_mem memR = clCreateBuffer(cpx_mtx_context, CL_MEM_READ_ONLY, sizeR, NULL, &err); gpuerr(clCreateBuffer);
+	
+	//Populate buffers
+	err = clEnqueueWriteBuffer(cpx_mtx_command_queue, memA, CL_TRUE, 0, sizeA, ptrA, 0, NULL, NULL);
+    gpuerr(clEnqueueWriteBuffer);
+
+	//Load and compile program
+	cl_program program;
+	if (cpx_mtx_cache == NULL)
+	{
+		program = clCreateProgramWithSource(cpx_mtx_context, 1, (const char*[]){kernel_gpu}, NULL, &err);
+        gpuerr(clCreateProgramWithSource);
+		err = clBuildProgram(program, 1, &cpx_mtx_device_id, NULL, NULL, NULL);
+		if (err != CL_SUCCESS)
+		{
+			fprintf(stderr, "GPU fatal error: clBuildProgram() failed.\n");
+			size_t log_size;
+			clGetProgramBuildInfo(program, cpx_mtx_device_id, CL_PROGRAM_BUILD_LOG, 0, NULL, &log_size);
+			char* log = malloc(log_size);
+			clGetProgramBuildInfo(program, cpx_mtx_device_id, CL_PROGRAM_BUILD_LOG, log_size, log, NULL);
+			printf("%s", log);
+			free(log);
+			exit(1);
+		}
+		err = clGetProgramInfo(program, CL_PROGRAM_BINARY_SIZES, sizeof(size_t), &cpx_mtx_cache_len, NULL);
+        gpuerr(clGetProgramInfo);
+		cpx_mtx_cache = malloc(cpx_mtx_cache_len);
+		clGetProgramInfo(program, CL_PROGRAM_BINARIES, sizeof(unsigned char*), &cpx_mtx_cache, NULL);
+        gpuerr(clGetProgramInfo);
+	}
+	else
+	{
+		program = clCreateProgramWithBinary(cpx_mtx_context, 1, &cpx_mtx_device_id, &cpx_mtx_cache_len, (const unsigned char**)&cpx_mtx_cache, NULL, &err);
+		gpuerr(clCreateProgramWithBinary);
+		err = clBuildProgram(program, 1, &cpx_mtx_device_id, NULL, NULL, NULL);
+		if (err != CL_SUCCESS)
+		{
+			fprintf(stderr, "GPU fatal error: clBuildProgram() failed.\n");
+			size_t log_size;
+			clGetProgramBuildInfo(program, cpx_mtx_device_id, CL_PROGRAM_BUILD_LOG, 0, NULL, &log_size);
+			char* log = malloc(log_size);
+			clGetProgramBuildInfo(program, cpx_mtx_device_id, CL_PROGRAM_BUILD_LOG, log_size, log, NULL);
+			printf("%s", log);
+			free(log);
+			exit(1);
+		}
+	}
+
+	//Setup kernel
+
+	float gate0 = ptrB[0];
+	float gate1 = ptrB[1];
+	float gate2 = ptrB[2];
+	float gate3 = ptrB[3];
+	float gate4 = ptrB[4];
+	float gate5 = ptrB[5];
+	float gate6 = ptrB[6];
+	float gate7 = ptrB[7];
+	cl_kernel kernel = clCreateKernel(program, "kernel_knk_2x2_Rx4", &err); gpuerr(clCreateKernel);
+	err = clSetKernelArg(kernel, 0, sizeof(cl_mem), (void*)&memR); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 1, sizeof(cl_mem), (void*)&memA); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 2, sizeof(int), &rowsA); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 3, sizeof(int), &colsA); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 4, sizeof(float), &gate0); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 5, sizeof(float), &gate1); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 6, sizeof(float), &gate2); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 7, sizeof(float), &gate3); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 8, sizeof(float), &gate4); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel, 9, sizeof(float), &gate5); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel,10, sizeof(float), &gate6); gpuerr(clSetKernelArg);
+	err = clSetKernelArg(kernel,11, sizeof(float), &gate7); gpuerr(clSetKernelArg);
+
+	//Run the program
+	err = clEnqueueNDRangeKernel(cpx_mtx_command_queue, kernel, 1, NULL, (size_t[]){rowsR / 8}, NULL, 0, NULL, NULL);
+	gpuerr(clEnqueueNDRangeKernel);
+
+	//Wait for completion
+	err = clFlush(cpx_mtx_command_queue); gpuerr(clFlush);
+	err = clFinish(cpx_mtx_command_queue); gpuerr(clFinish);
+
+	//Read results
+	err = clEnqueueReadBuffer(cpx_mtx_command_queue, memR, CL_TRUE, 0, sizeR, ptrR, 0, NULL, NULL);
+	gpuerr(clEnqueueReadBuffer);
+
+	//Clean up
+	err = clReleaseKernel(kernel); gpuerr(clReleaseKernel);
+	err = clReleaseProgram(program); gpuerr(clReleaseProgram);
+	err = clReleaseMemObject(memA); gpuerr(clReleaseMemObject);
+	err = clReleaseMemObject(memR); gpuerr(clReleaseMemObject);
+}
+
+
 /*-----------------------------------------------------------------------------------*/
 
 
diff --git a/src/kernel.cl b/src/kernel.cl
index c9833ae..9da5ec6 100644
--- a/src/kernel.cl
+++ b/src/kernel.cl
@@ -173,7 +173,6 @@ __kernel void kernel_knk_2x2_R
     const float gate6,
     const float gate7
     , const int get_global_id_0 //{cpu_only}
-    , const int get_global_id_1 //{cpu_only}
 )
 {
     const int rowsR = rowsA * 2;
@@ -227,4 +226,78 @@ __kernel void kernel_knk_2x2_R
 
         }
     }
+}
+
+
+__kernel void kernel_knk_2x2_Rx4
+(
+    __global float* ptrR,
+    __global float* ptrA,
+    const int rowsA,
+    const int colsA,
+    const float gate0,
+    const float gate1,
+    const float gate2,
+    const float gate3,
+    const float gate4,
+    const float gate5,
+    const float gate6,
+    const float gate7
+    , const int get_global_id_0 //{cpu_only}
+)
+{
+    const int rowsR = rowsA * 2;
+    const int colsR = colsA * 2;
+    const int block = get_global_id(0) * 8; //{gpu_only}
+    const int block = get_global_id_0 * 8; //{cpu_only}
+
+    for (int rowR = block; rowR < block + 8; rowR += 2)
+    {
+        for (int colR = 0; colR < colsR; colR += 2)
+        {
+            const int rowA = rowR / 2;
+            const int colA = colR / 2;
+            const int posA = rowA * (colsA * 2) + (colA * 2);
+            const float rA = ptrA[posA];
+            const float iA = ptrA[posA + 1];
+
+            for (int i = 0; i < 4; i++)
+            {
+                float rB, iB;
+                switch (i)
+                {
+                    case 0: rB = gate0; iB = gate1; break;
+                    case 1: rB = gate2; iB = gate3; break;
+                    case 2: rB = gate4; iB = gate5; break;
+                    case 3: rB = gate6; iB = gate7; break;
+                }
+
+                //(rA + iA)(rB + iB)
+                const float first = rA * rB;
+                const float outer = rA * iB;
+                const float inner = iA * rB;
+                const float lasts = iA * iB;
+                switch (i)
+                {
+                    case 0:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 1:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                    case 2:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 3:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                }
+
+            }
+        }
+    }
 }
\ No newline at end of file
diff --git a/src/kernel_cpu.cl b/src/kernel_cpu.cl
index bd716cc..f4e692d 100644
--- a/src/kernel_cpu.cl
+++ b/src/kernel_cpu.cl
@@ -168,7 +168,6 @@ void kernel_knk_2x2_R
     const float gate6,
     const float gate7
     , const int get_global_id_0 //{cpu_only}
-    , const int get_global_id_1 //{cpu_only}
 )
 {
     const int rowsR = rowsA * 2;
@@ -222,3 +221,76 @@ void kernel_knk_2x2_R
         }
     }
 }
+
+
+void kernel_knk_2x2_Rx4
+(
+    float* ptrR,
+    float* ptrA,
+    const int rowsA,
+    const int colsA,
+    const float gate0,
+    const float gate1,
+    const float gate2,
+    const float gate3,
+    const float gate4,
+    const float gate5,
+    const float gate6,
+    const float gate7
+    , const int get_global_id_0 //{cpu_only}
+)
+{
+    const int rowsR = rowsA * 2;
+    const int colsR = colsA * 2;
+    const int block = get_global_id_0 * 8; //{cpu_only}
+
+    for (int rowR = block; rowR < block + 8; rowR += 2)
+    {
+        for (int colR = 0; colR < colsR; colR += 2)
+        {
+            const int rowA = rowR / 2;
+            const int colA = colR / 2;
+            const int posA = rowA * (colsA * 2) + (colA * 2);
+            const float rA = ptrA[posA];
+            const float iA = ptrA[posA + 1];
+
+            for (int i = 0; i < 4; i++)
+            {
+                float rB, iB;
+                switch (i)
+                {
+                    case 0: rB = gate0; iB = gate1; break;
+                    case 1: rB = gate2; iB = gate3; break;
+                    case 2: rB = gate4; iB = gate5; break;
+                    case 3: rB = gate6; iB = gate7; break;
+                }
+
+                //(rA + iA)(rB + iB)
+                const float first = rA * rB;
+                const float outer = rA * iB;
+                const float inner = iA * rB;
+                const float lasts = iA * iB;
+                switch (i)
+                {
+                    case 0:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 1:
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 0) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                    case 2:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 0) * 2) + 1] = outer + inner;
+                    break;
+                    case 3:
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2)] = first + lasts;
+                        ptrR[(rowR + 1) * (colsR * 2) + ((colR + 1) * 2) + 1] = outer + inner;
+                    break;
+                }
+
+            }
+        }
+    }
+}
diff --git a/src/kernel_gpu.cl b/src/kernel_gpu.cl
index 107859e..1a494c3 100644
--- a/src/kernel_gpu.cl
+++ b/src/kernel_gpu.cl
@@ -538,6 +538,211 @@ unsigned char kernel_gpu[] = {
   0x20, 0x20, 0x20, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20,
   0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7d,
   0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a,
-  0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x7d, 0x00
+  0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x7d, 0x0a, 0x0a, 0x0a, 0x5f, 0x5f,
+  0x6b, 0x65, 0x72, 0x6e, 0x65, 0x6c, 0x20, 0x76, 0x6f, 0x69, 0x64, 0x20,
+  0x6b, 0x65, 0x72, 0x6e, 0x65, 0x6c, 0x5f, 0x6b, 0x6e, 0x6b, 0x5f, 0x32,
+  0x78, 0x32, 0x5f, 0x52, 0x78, 0x34, 0x0a, 0x28, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x5f, 0x5f, 0x67, 0x6c, 0x6f, 0x62, 0x61, 0x6c, 0x20, 0x66, 0x6c,
+  0x6f, 0x61, 0x74, 0x2a, 0x20, 0x70, 0x74, 0x72, 0x52, 0x2c, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x5f, 0x5f, 0x67, 0x6c, 0x6f, 0x62, 0x61, 0x6c, 0x20,
+  0x66, 0x6c, 0x6f, 0x61, 0x74, 0x2a, 0x20, 0x70, 0x74, 0x72, 0x41, 0x2c,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69,
+  0x6e, 0x74, 0x20, 0x72, 0x6f, 0x77, 0x73, 0x41, 0x2c, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74, 0x20,
+  0x63, 0x6f, 0x6c, 0x73, 0x41, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63,
+  0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67,
+  0x61, 0x74, 0x65, 0x30, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f,
+  0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61,
+  0x74, 0x65, 0x31, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e,
+  0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74,
+  0x65, 0x32, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73,
+  0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74, 0x65,
+  0x33, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74,
+  0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74, 0x65, 0x34,
+  0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20,
+  0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74, 0x65, 0x35, 0x2c,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66,
+  0x6c, 0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74, 0x65, 0x36, 0x2c, 0x0a,
+  0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c,
+  0x6f, 0x61, 0x74, 0x20, 0x67, 0x61, 0x74, 0x65, 0x37, 0x0a, 0x29, 0x0a,
+  0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20,
+  0x69, 0x6e, 0x74, 0x20, 0x72, 0x6f, 0x77, 0x73, 0x52, 0x20, 0x3d, 0x20,
+  0x72, 0x6f, 0x77, 0x73, 0x41, 0x20, 0x2a, 0x20, 0x32, 0x3b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74,
+  0x20, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20, 0x3d, 0x20, 0x63, 0x6f, 0x6c,
+  0x73, 0x41, 0x20, 0x2a, 0x20, 0x32, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x62, 0x6c,
+  0x6f, 0x63, 0x6b, 0x20, 0x3d, 0x20, 0x67, 0x65, 0x74, 0x5f, 0x67, 0x6c,
+  0x6f, 0x62, 0x61, 0x6c, 0x5f, 0x69, 0x64, 0x28, 0x30, 0x29, 0x20, 0x2a,
+  0x20, 0x38, 0x3b, 0x20, 0x2f, 0x2f, 0x7b, 0x67, 0x70, 0x75, 0x5f, 0x6f,
+  0x6e, 0x6c, 0x79, 0x7d, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x66, 0x6f,
+  0x72, 0x20, 0x28, 0x69, 0x6e, 0x74, 0x20, 0x72, 0x6f, 0x77, 0x52, 0x20,
+  0x3d, 0x20, 0x62, 0x6c, 0x6f, 0x63, 0x6b, 0x3b, 0x20, 0x72, 0x6f, 0x77,
+  0x52, 0x20, 0x3c, 0x20, 0x62, 0x6c, 0x6f, 0x63, 0x6b, 0x20, 0x2b, 0x20,
+  0x38, 0x3b, 0x20, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x3d, 0x20, 0x32,
+  0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x66, 0x6f, 0x72, 0x20, 0x28, 0x69, 0x6e, 0x74,
+  0x20, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x3d, 0x20, 0x30, 0x3b, 0x20, 0x63,
+  0x6f, 0x6c, 0x52, 0x20, 0x3c, 0x20, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x3b,
+  0x20, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2b, 0x3d, 0x20, 0x32, 0x29, 0x0a,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f,
+  0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x72, 0x6f, 0x77, 0x41,
+  0x20, 0x3d, 0x20, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2f, 0x20, 0x32, 0x3b,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x63,
+  0x6f, 0x6c, 0x41, 0x20, 0x3d, 0x20, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2f,
+  0x20, 0x32, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e,
+  0x74, 0x20, 0x70, 0x6f, 0x73, 0x41, 0x20, 0x3d, 0x20, 0x72, 0x6f, 0x77,
+  0x41, 0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x41, 0x20, 0x2a,
+  0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x41, 0x20,
+  0x2a, 0x20, 0x32, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20,
+  0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x72, 0x41, 0x20, 0x3d, 0x20, 0x70,
+  0x74, 0x72, 0x41, 0x5b, 0x70, 0x6f, 0x73, 0x41, 0x5d, 0x3b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63,
+  0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x69,
+  0x41, 0x20, 0x3d, 0x20, 0x70, 0x74, 0x72, 0x41, 0x5b, 0x70, 0x6f, 0x73,
+  0x41, 0x20, 0x2b, 0x20, 0x31, 0x5d, 0x3b, 0x0a, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x66, 0x6f, 0x72,
+  0x20, 0x28, 0x69, 0x6e, 0x74, 0x20, 0x69, 0x20, 0x3d, 0x20, 0x30, 0x3b,
+  0x20, 0x69, 0x20, 0x3c, 0x20, 0x34, 0x3b, 0x20, 0x69, 0x2b, 0x2b, 0x29,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74,
+  0x20, 0x72, 0x42, 0x2c, 0x20, 0x69, 0x42, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x73, 0x77, 0x69, 0x74, 0x63, 0x68, 0x20, 0x28, 0x69, 0x29, 0x0a,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x30, 0x3a, 0x20, 0x72, 0x42,
+  0x20, 0x3d, 0x20, 0x67, 0x61, 0x74, 0x65, 0x30, 0x3b, 0x20, 0x69, 0x42,
+  0x20, 0x3d, 0x20, 0x67, 0x61, 0x74, 0x65, 0x31, 0x3b, 0x20, 0x62, 0x72,
+  0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x31, 0x3a, 0x20, 0x72, 0x42, 0x20,
+  0x3d, 0x20, 0x67, 0x61, 0x74, 0x65, 0x32, 0x3b, 0x20, 0x69, 0x42, 0x20,
+  0x3d, 0x20, 0x67, 0x61, 0x74, 0x65, 0x33, 0x3b, 0x20, 0x62, 0x72, 0x65,
+  0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x63, 0x61, 0x73, 0x65, 0x20, 0x32, 0x3a, 0x20, 0x72, 0x42, 0x20, 0x3d,
+  0x20, 0x67, 0x61, 0x74, 0x65, 0x34, 0x3b, 0x20, 0x69, 0x42, 0x20, 0x3d,
+  0x20, 0x67, 0x61, 0x74, 0x65, 0x35, 0x3b, 0x20, 0x62, 0x72, 0x65, 0x61,
+  0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63,
+  0x61, 0x73, 0x65, 0x20, 0x33, 0x3a, 0x20, 0x72, 0x42, 0x20, 0x3d, 0x20,
+  0x67, 0x61, 0x74, 0x65, 0x36, 0x3b, 0x20, 0x69, 0x42, 0x20, 0x3d, 0x20,
+  0x67, 0x61, 0x74, 0x65, 0x37, 0x3b, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b,
+  0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x2f, 0x2f, 0x28, 0x72, 0x41, 0x20, 0x2b, 0x20, 0x69, 0x41, 0x29,
+  0x28, 0x72, 0x42, 0x20, 0x2b, 0x20, 0x69, 0x42, 0x29, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61,
+  0x74, 0x20, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20, 0x3d, 0x20, 0x72, 0x41,
+  0x20, 0x2a, 0x20, 0x72, 0x42, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63,
+  0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x6f,
+  0x75, 0x74, 0x65, 0x72, 0x20, 0x3d, 0x20, 0x72, 0x41, 0x20, 0x2a, 0x20,
+  0x69, 0x42, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73,
+  0x74, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x69, 0x6e, 0x6e, 0x65,
+  0x72, 0x20, 0x3d, 0x20, 0x69, 0x41, 0x20, 0x2a, 0x20, 0x72, 0x42, 0x3b,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x66,
+  0x6c, 0x6f, 0x61, 0x74, 0x20, 0x6c, 0x61, 0x73, 0x74, 0x73, 0x20, 0x3d,
+  0x20, 0x69, 0x41, 0x20, 0x2a, 0x20, 0x69, 0x42, 0x3b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x73, 0x77, 0x69, 0x74, 0x63, 0x68, 0x20, 0x28, 0x69, 0x29,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x30, 0x3a, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x70,
+  0x74, 0x72, 0x52, 0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x20,
+  0x30, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20,
+  0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f, 0x6c,
+  0x52, 0x20, 0x2b, 0x20, 0x30, 0x29, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x5d,
+  0x20, 0x3d, 0x20, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20, 0x2b, 0x20, 0x6c,
+  0x61, 0x73, 0x74, 0x73, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x70, 0x74, 0x72, 0x52, 0x5b, 0x28,
+  0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x20, 0x30, 0x29, 0x20, 0x2a, 0x20,
+  0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20,
+  0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2b, 0x20, 0x30,
+  0x29, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x31, 0x5d, 0x20,
+  0x3d, 0x20, 0x6f, 0x75, 0x74, 0x65, 0x72, 0x20, 0x2b, 0x20, 0x69, 0x6e,
+  0x6e, 0x65, 0x72, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x31, 0x3a, 0x0a,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x70, 0x74, 0x72, 0x52, 0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b,
+  0x20, 0x30, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52,
+  0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f,
+  0x6c, 0x52, 0x20, 0x2b, 0x20, 0x31, 0x29, 0x20, 0x2a, 0x20, 0x32, 0x29,
+  0x5d, 0x20, 0x3d, 0x20, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20, 0x2b, 0x20,
+  0x6c, 0x61, 0x73, 0x74, 0x73, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x70, 0x74, 0x72, 0x52, 0x5b,
+  0x28, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x20, 0x30, 0x29, 0x20, 0x2a,
+  0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20, 0x2a, 0x20, 0x32, 0x29,
+  0x20, 0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2b, 0x20,
+  0x31, 0x29, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x31, 0x5d,
+  0x20, 0x3d, 0x20, 0x6f, 0x75, 0x74, 0x65, 0x72, 0x20, 0x2b, 0x20, 0x69,
+  0x6e, 0x6e, 0x65, 0x72, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x32, 0x3a,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x70, 0x74, 0x72, 0x52, 0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52, 0x20,
+  0x2b, 0x20, 0x31, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73,
+  0x52, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x28, 0x63,
+  0x6f, 0x6c, 0x52, 0x20, 0x2b, 0x20, 0x30, 0x29, 0x20, 0x2a, 0x20, 0x32,
+  0x29, 0x5d, 0x20, 0x3d, 0x20, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20, 0x2b,
+  0x20, 0x6c, 0x61, 0x73, 0x74, 0x73, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x70, 0x74, 0x72, 0x52,
+  0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x20, 0x31, 0x29, 0x20,
+  0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20, 0x2a, 0x20, 0x32,
+  0x29, 0x20, 0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2b,
+  0x20, 0x30, 0x29, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x31,
+  0x5d, 0x20, 0x3d, 0x20, 0x6f, 0x75, 0x74, 0x65, 0x72, 0x20, 0x2b, 0x20,
+  0x69, 0x6e, 0x6e, 0x65, 0x72, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x61, 0x73, 0x65, 0x20, 0x33,
+  0x3a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x70, 0x74, 0x72, 0x52, 0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52,
+  0x20, 0x2b, 0x20, 0x31, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c,
+  0x73, 0x52, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x28,
+  0x63, 0x6f, 0x6c, 0x52, 0x20, 0x2b, 0x20, 0x31, 0x29, 0x20, 0x2a, 0x20,
+  0x32, 0x29, 0x5d, 0x20, 0x3d, 0x20, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20,
+  0x2b, 0x20, 0x6c, 0x61, 0x73, 0x74, 0x73, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x70, 0x74, 0x72,
+  0x52, 0x5b, 0x28, 0x72, 0x6f, 0x77, 0x52, 0x20, 0x2b, 0x20, 0x31, 0x29,
+  0x20, 0x2a, 0x20, 0x28, 0x63, 0x6f, 0x6c, 0x73, 0x52, 0x20, 0x2a, 0x20,
+  0x32, 0x29, 0x20, 0x2b, 0x20, 0x28, 0x28, 0x63, 0x6f, 0x6c, 0x52, 0x20,
+  0x2b, 0x20, 0x31, 0x29, 0x20, 0x2a, 0x20, 0x32, 0x29, 0x20, 0x2b, 0x20,
+  0x31, 0x5d, 0x20, 0x3d, 0x20, 0x6f, 0x75, 0x74, 0x65, 0x72, 0x20, 0x2b,
+  0x20, 0x69, 0x6e, 0x6e, 0x65, 0x72, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x7d, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a,
+  0x7d, 0x00
 };
-unsigned int kernel_gpu_len = 6476;
+unsigned int kernel_gpu_len = 8930;