From c979d38b5b7eeae2ee87aa7c739540697d5067bf Mon Sep 17 00:00:00 2001 From: Subham-Kalwar Date: Fri, 20 Feb 2026 21:33:06 -0600 Subject: [PATCH 1/4] Lab 4 Solved --- .DS_Store | Bin 0 -> 8196 bytes Labs/.DS_Store | Bin 0 -> 8196 bytes .../.ipynb_checkpoints/Lab.4-checkpoint.ipynb | 397 +++++++++ Labs/Lab.4/Lab.4.ipynb | 808 +++++++++++++++++- Labs/Lab.4/lab4_drawing.txt | 1 + Lectures/.DS_Store | Bin 0 -> 8196 bytes 6 files changed, 1173 insertions(+), 33 deletions(-) create mode 100644 .DS_Store create mode 100644 Labs/.DS_Store create mode 100644 Labs/Lab.4/.ipynb_checkpoints/Lab.4-checkpoint.ipynb create mode 100644 Labs/Lab.4/lab4_drawing.txt create mode 100644 Lectures/.DS_Store diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..8304a74440a51c56eca10b213f00721d1924dc13 GIT binary patch literal 8196 zcmeHM%}*0S6n}$Nwt})C)rv7`=*0wrph!ZDp%#b|H4sV={HnX{P&RC5>h6|`grsLZ z>0R$$J(+m%=*6oyF{eOC7qU8GHFkl$?9~i(hTO{i*=f3JS zrD4D@a3~oN`$Gz|z>LPaLb-KdAwvMf7&gmXI584$613~qx1E`%-ddlvgf ze#s;an|f|7tmruZy<73UFd7~GLOPDbjvni@EUU|Um|N$yT;xR6FzW>OMQw?5-)+c_ zyX?_g-tM2~EOI#-uQWqFkqLus2+9acOZ&)doE?Mssr!>O^!D?7uf z?a8sr!>Nh!OFKJpE0MlFW4tFD3U$n#u8%X4gvfjg4bahe$mjJ`8c2vj z^C55M0_Jm8!Zx9A;Y&}U01;FnK&kcRe}_7IU;Z}z1L6d2>oU%8aGjy;VYfI%92Q{~ zU2z7TaTZ3P48{Ft0vT*^3tKwR6Lca^N@a8yE;13vGOPa#iJg6)3{memf9n*qc3P7*;CI6!HJ;-@pGG zz6=9~fdk9{iOu9@#75b;N42h1Y`!VXk1>lR^y&(w2^K;{w99ZDvH6D~$|>EK(O6fA VJ(&Lahk(O;88+v?eCJF7@EeaUOFRGo literal 0 HcmV?d00001 diff --git a/Labs/.DS_Store b/Labs/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..f7f4170980372ce92a1f25fa77bd9b69d00cfacf GIT binary patch literal 8196 zcmeHM%}*0S6n}%Lt*9&liWrlPO^il@d=wI5jJ05psDW65py0aOPRoX6rrF(6g^={D zC%x<4t0xmL9=&+=X8aTM>Pg>x)D~*5#Kf6o=J)o^`D8K*!B(Mv# zx^VbQ6Z4|Cv<|IFA`6{Bz!*4ix5e5h3GHFkl$?7Z|{rEn1>Y-B+__ zGz=I9{!0eL`@zO8Fr%@iP`)~FkXHc2PE^Z=GTsBEkF7DIv8GVEVoY^=AljAaD+W>S zIByGc#Eiz8LgfxbxdYLeiN2u_nH~LXX$~Z#(2Rxw!$2zo;_iMCX5c0)VsE~`yWruo z1NVSJ2qhdHmX3;*z z(|sE~J;WUP#weFjZbY-;5>z3=Og8%1xC$3D+Axp0%WZPK+n4Jw{t6*>F$`mSS4A$g zwH)7P`KqmDdaq@Ncp)|Kw2?jSRim=z_;CX{Q(2sRmij;qH;h(b7_u?{a#XxfpV z-_koGpX)pNW?A(;C69F-KXJ0#>N(Zh)7R7A-+%hdz}dlbgO1hfx%rJ!DAqd710H6B z3Vl=x{X(wn=6zOLj_K1l=WkQTIXJs1`bd?y$T*|P zRAxavCb3vv!Q*-lmS6+6;U&C=x9|Zz!B_YWKgm&IkqhJsNt5g32Dwe<$U~AR>%=Fa z3eZvin9u7}8c2jf)5pA(3t7Nf3AMtbF*C9Ek6#}1H%-S}nA_+fFr%@iPy`Zsab5(f z0&eQRq{9q`fdgaUkjgY5?*F&i|Nehq>oJK81BQWvXMl9h= self.max_value:\n", + " print(\"Error: Attempted to increment beyond maximum value.\")\n", + " else:\n", + " self.count += 1\n", + "\n", + " def reset(self):\n", + " self.count = 0\n", + "\n", + "# --- Test ---\n", + "c1 = SimpleCounter(2)\n", + "c1.increment()\n", + "c1.increment()\n", + "c1.increment() # This will print the error\n", + "c1.reset()\n", + "c1.increment() \n", + "c1.increment()\n", + "c1.increment() # This will print the error again" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2. Copy and paste your solution to question 1 and modify it so that all the data held by the counter is private. Implement functions to check the value of the counter, check the maximum value, and check if the counter is at the maximum." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value: 2, Is Max?: False\n" + ] + } + ], + "source": [ + "class Counter:\n", + " def __init__(self, max_value):\n", + " self.__count = 0 \n", + " self.__max_value = max_value\n", + "\n", + " def increment(self):\n", + " if self.__count >= self.__max_value:\n", + " print(\"Error: Attempted to increment beyond maximum value.\")\n", + " else:\n", + " self.__count += 1\n", + "\n", + " def reset(self):\n", + " self.__count = 0\n", + "\n", + " def get_value(self):\n", + " return self.__count\n", + "\n", + " def get_max(self):\n", + " return self.__max_value\n", + "\n", + " def is_at_max(self):\n", + " return self.__count == self.__max_value\n", + "\n", + "c2 = Counter(3)\n", + "c2.increment()\n", + "c2.increment()\n", + "print(f\"Value: {c2.get_value()}, Is Max?: {c2.is_at_max()}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "3. Implement a class to represent a rectangle, holding the length, width, and $x$ and $y$ coordinates of a corner of the object. Implement functions that compute the area and perimeter of the rectangle. Make all data members private and privide accessors to retrieve values of data members. " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Area: 8, Perimeter: 12.\n" + ] + } + ], + "source": [ + "class Rectangle:\n", + " def __init__(self, length, width, x, y):\n", + " self.__length = length\n", + " self.__width = width\n", + " self.__x = x\n", + " self.__y = y\n", + "\n", + " def get_length(self): return self.__length\n", + " def get_width(self): return self.__width\n", + " def get_x(self): return self.__x\n", + " def get_y(self): return self.__y\n", + "\n", + " def area(self):\n", + " return self.__length * self.__width\n", + " \n", + " def perimeter(self):\n", + " return 2 * (self.__length + self.__width)\n", + " \n", + "# Test\n", + "rect = Rectangle(4, 2, 0, 0)\n", + "print(f\"Area: {rect.area()}, Perimeter: {rect.perimeter()}.\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "4. Implement a class to represent a circle, holding the radius and $x$ and $y$ coordinates of center of the object. Implement functions that compute the area and perimeter of the rectangle. Make all data members private and privide accessors to retrieve values of data members. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "5. Implement a common base class for the classes implemented in 3 and 4 above which implements all common methods as not implemented functions (virtual). Re-implement your regtangle and circule classes to inherit from the base class and overload the functions accordingly. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "6. Implement a triangle class analogous to the rectangle and circle in question 5." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "7. Add a function to the object classes, including the base, that returns a list of up to 16 pairs of $x$ and $y$ points on the parameter of the object. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "8. Add a function to the object classes, including the base, that tests if a given set of $x$ and $y$ coordinates are inside of the object. You'll have to think through how to determine if a set of coordinates are inside an object for each object type." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "9. Add a function in the base class of the object classes that returns true/false testing that the object overlaps with another object." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "10. Copy the `Canvas` class from lecture to in a python file creating a `paint` module. Copy your classes from above into the module and implement paint functions. Implement a `CompoundShape` class. Create a simple drawing demonstrating that all of your classes are working." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "11. Create a `RasterDrawing` class. Demonstrate that you can create a drawing made of several shapes, paint the drawing, modify the drawing, and paint it again. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "12. Implement the ability to load/save raster drawings and demonstate that your method works. One way to implement this ability:\n", + "\n", + " * Overload `__repr__` functions of all objects to return strings of the python code that would construct the object.\n", + " \n", + " * In the save method of raster drawing class, store the representations into the file.\n", + " * Write a loader function that reads the file and uses `eval` to instantiate the object.\n", + "\n", + "For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "class foo:\n", + " def __init__(self,a,b=None):\n", + " self.a=a\n", + " self.b=b\n", + " \n", + " def __repr__(self):\n", + " return \"foo(\"+repr(self.a)+\",\"+repr(self.b)+\")\"\n", + " \n", + " def save(self,filename):\n", + " f=open(filename,\"w\")\n", + " f.write(self.__repr__())\n", + " f.close()\n", + " \n", + " \n", + "def foo_loader(filename):\n", + " f=open(filename,\"r\")\n", + " tmp=eval(f.read())\n", + " f.close()\n", + " return tmp\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "foo(1,'hello')\n" + ] + } + ], + "source": [ + "# Test\n", + "print(repr(foo(1,\"hello\")))" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Create an object and save it\n", + "ff=foo(1,\"hello\")\n", + "ff.save(\"Test.foo\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "foo(1,'hello')" + ] + } + ], + "source": [ + "# Check contents of the saved file\n", + "!cat Test.foo" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "foo(1,'hello')" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Load the object\n", + "ff_reloaded=foo_loader(\"Test.foo\")\n", + "ff_reloaded" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ds", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.14" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Labs/Lab.4/Lab.4.ipynb b/Labs/Lab.4/Lab.4.ipynb index db4abc21..0a8de2d2 100644 --- a/Labs/Lab.4/Lab.4.ipynb +++ b/Labs/Lab.4/Lab.4.ipynb @@ -18,10 +18,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Error: Attempted to increment beyond maximum value.\n", + "Error: Attempted to increment beyond maximum value.\n" + ] + } + ], + "source": [ + "class SimpleCounter:\n", + " def __init__(self, max_value):\n", + " self.count = 0\n", + " self.max_value = max_value\n", + "\n", + " def increment(self):\n", + " if self.count >= self.max_value:\n", + " print(\"Error: Attempted to increment beyond maximum value.\")\n", + " else:\n", + " self.count += 1\n", + "\n", + " def reset(self):\n", + " self.count = 0\n", + "\n", + "# --- Test ---\n", + "c1 = SimpleCounter(2)\n", + "c1.increment()\n", + "c1.increment()\n", + "c1.increment() # This will print the error\n", + "c1.reset()\n", + "c1.increment() \n", + "c1.increment()\n", + "c1.increment() # This will print the error again" + ] }, { "cell_type": "markdown", @@ -32,10 +65,46 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value: 2, Is Max?: False\n" + ] + } + ], + "source": [ + "class Counter:\n", + " def __init__(self, max_value):\n", + " self.__count = 0 \n", + " self.__max_value = max_value\n", + "\n", + " def increment(self):\n", + " if self.__count >= self.__max_value:\n", + " print(\"Error: Attempted to increment beyond maximum value.\")\n", + " else:\n", + " self.__count += 1\n", + "\n", + " def reset(self):\n", + " self.__count = 0\n", + "\n", + " def get_value(self):\n", + " return self.__count\n", + "\n", + " def get_max(self):\n", + " return self.__max_value\n", + "\n", + " def is_at_max(self):\n", + " return self.__count == self.__max_value\n", + "\n", + "c2 = Counter(3)\n", + "c2.increment()\n", + "c2.increment()\n", + "print(f\"Value: {c2.get_value()}, Is Max?: {c2.is_at_max()}\")" + ] }, { "cell_type": "markdown", @@ -46,10 +115,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Area: 8, Perimeter: 12.\n" + ] + } + ], + "source": [ + "class Rectangle:\n", + " def __init__(self, length, width, x, y):\n", + " self.__length = length\n", + " self.__width = width\n", + " self.__x = x\n", + " self.__y = y\n", + "\n", + " def get_length(self): return self.__length\n", + " def get_width(self): return self.__width\n", + " def get_x(self): return self.__x\n", + " def get_y(self): return self.__y\n", + "\n", + " def area(self):\n", + " return self.__length * self.__width\n", + " \n", + " def perimeter(self):\n", + " return 2 * (self.__length + self.__width)\n", + " \n", + "# Test\n", + "rect = Rectangle(4, 2, 0, 0)\n", + "print(f\"Area: {rect.area()}, Perimeter: {rect.perimeter()}.\")\n" + ] }, { "cell_type": "markdown", @@ -60,10 +159,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Circle Area: 50.27, Perimeter: 25.13\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "class Circle:\n", + " def __init__(self, radius, x, y):\n", + " self.__radius = radius\n", + " self.__x = x\n", + " self.__y = y\n", + "\n", + " def get_radius(self):\n", + " return self.__radius\n", + " def get_x(self):\n", + " return self.__x\n", + " def get_y(self):\n", + " return self.__y\n", + "\n", + " def area(self):\n", + " return np.pi * (self.__radius ** 2)\n", + "\n", + " def perimeter(self):\n", + " return 2 * np.pi * self.__radius\n", + "\n", + "# Test\n", + "c = Circle(4, 5, 5)\n", + "print(f\"Circle Area: {c.area():.2f}, Perimeter: {c.perimeter():.2f}\")\n", + " " + ] }, { "cell_type": "markdown", @@ -74,10 +207,50 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rectangle Area: 12.00\n", + "Circle Area: 12.57\n" + ] + } + ], + "source": [ + "class Shape:\n", + " def area(self):\n", + " raise NotImplementedError\n", + " \n", + " def perimeter(self):\n", + " raise NotImplementedError\n", + "\n", + "class Rectangle(Shape):\n", + " def __init__(self, length, width, x, y):\n", + " self.__length = length\n", + " self.__width = width\n", + " self.__x = x\n", + " self.__y = y\n", + " \n", + " def area(self): return self.__length * self.__width\n", + " def perimeter(self): return 2 * (self.__length + self.__width)\n", + "\n", + "class Circle(Shape):\n", + " def __init__(self, radius, cx, cy):\n", + " self.__radius = radius\n", + " self.__cx = cx\n", + " self.__cy = cy\n", + " \n", + " def area(self): return np.pi * (self.__radius ** 2)\n", + " def perimeter(self): return 2 * np.pi * self.__radius\n", + "\n", + "# --- Test ---\n", + "shapes = [Rectangle(4, 3, 0, 0), Circle(2, 0, 0)]\n", + "for s in shapes:\n", + " print(f\"{s.__class__.__name__} Area: {s.area():.2f}\")" + ] }, { "cell_type": "markdown", @@ -88,10 +261,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Triangle Area: 6.0, Perimeter: 12.0\n" + ] + } + ], + "source": [ + "class Triangle(Shape):\n", + " def __init__(self, base, height, x, y):\n", + " self.__base = base\n", + " self.__height = height\n", + " self.__x = x\n", + " self.__y = y\n", + " \n", + " def area(self): \n", + " return 0.5 * self.__base * self.__height\n", + " \n", + " def perimeter(self): \n", + " hypotenuse = np.sqrt(self.__base**2 + self.__height**2)\n", + " return self.__base + self.__height + hypotenuse\n", + "\n", + "# --- Test ---\n", + "t = Triangle(3, 4, 0, 0)\n", + "print(f\"Triangle Area: {t.area()}, Perimeter: {t.perimeter()}\")" + ] }, { "cell_type": "markdown", @@ -102,10 +301,73 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import math\n", + "\n", + "class Shape:\n", + " def area(self): raise NotImplementedError\n", + " def perimeter(self): raise NotImplementedError\n", + " \n", + " def get_perimeter_points(self): raise NotImplementedError\n", + "\n", + "class Rectangle(Shape):\n", + " def __init__(self, length, width, x, y):\n", + " self.__length = length\n", + " self.__width = width\n", + " self.__x = x\n", + " self.__y = y\n", + " \n", + " def area(self): return self.__length * self.__width\n", + " def perimeter(self): return 2 * (self.__length + self.__width)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(4):\n", + " points.append((self.__x + (self.__length * i / 4), self.__y)) # Top edge\n", + " points.append((self.__x + (self.__length * i / 4), self.__y - self.__width)) # Bottom edge\n", + " points.append((self.__x, self.__y - (self.__width * i / 4))) # Left edge\n", + " points.append((self.__x + self.__length, self.__y - (self.__width * i / 4))) # Right edge\n", + " return points\n", + "\n", + "class Circle(Shape):\n", + " def __init__(self, radius, cx, cy):\n", + " self.__radius = radius\n", + " self.__cx = cx\n", + " self.__cy = cy\n", + " \n", + " def area(self): return math.pi * (self.__radius ** 2)\n", + " def perimeter(self): return 2 * math.pi * self.__radius\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(16):\n", + " angle = 2 * math.pi * i / 16\n", + " px = self.__cx + self.__radius * math.cos(angle)\n", + " py = self.__cy + self.__radius * math.sin(angle)\n", + " points.append((px, py))\n", + " return points\n", + "\n", + "class Triangle(Shape):\n", + " def __init__(self, base, height, x, y):\n", + " self.__base = base\n", + " self.__height = height\n", + " self.__x = x\n", + " self.__y = y\n", + " \n", + " def area(self): return 0.5 * self.__base * self.__height\n", + " def perimeter(self): return self.__base + self.__height + math.sqrt(self.__base**2 + self.__height**2)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(5):\n", + " points.append((self.__x + (self.__base * i / 5), self.__y)) \n", + " points.append((self.__x, self.__y + (self.__height * i / 5))) \n", + " points.append((self.__x + (self.__base * i / 5), self.__y + self.__height - (self.__height * i / 5))) \n", + " points.append((self.__x + self.__base, self.__y)) " + ] }, { "cell_type": "markdown", @@ -116,10 +378,90 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "class Shape:\n", + " def area(self): raise NotImplementedError\n", + " def perimeter(self): raise NotImplementedError\n", + " def get_perimeter_points(self): raise NotImplementedError\n", + " def contains(self, x, y): raise NotImplementedError\n", + "\n", + "class Rectangle(Shape):\n", + " def __init__(self, length, width, x, y):\n", + " self.length = length\n", + " self.width = width\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def area(self): return self.length * self.width\n", + " def perimeter(self): return 2 * (self.length + self.width)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(4):\n", + " points.append((self.x + (self.length * i / 4), self.y))\n", + " points.append((self.x + (self.length * i / 4), self.y - self.width))\n", + " points.append((self.x, self.y - (self.width * i / 4)))\n", + " points.append((self.x + self.length, self.y - (self.width * i / 4)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return (self.x <= px <= self.x + self.length) and (self.y - self.width <= py <= self.y)\n", + "\n", + " def __repr__(self):\n", + " return f\"Rectangle({self.length}, {self.width}, {self.x}, {self.y})\"\n", + "\n", + "class Circle(Shape):\n", + " def __init__(self, radius, cx, cy):\n", + " self.radius = radius\n", + " self.cx = cx\n", + " self.cy = cy\n", + " \n", + " def area(self): return math.pi * (self.radius ** 2)\n", + " def perimeter(self): return 2 * math.pi * self.radius\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(16):\n", + " angle = 2 * math.pi * i / 16\n", + " points.append((self.cx + self.radius * math.cos(angle), self.cy + self.radius * math.sin(angle)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return math.sqrt((px - self.cx)**2 + (py - self.cy)**2) <= self.radius\n", + "\n", + " def __repr__(self):\n", + " return f\"Circle({self.radius}, {self.cx}, {self.cy})\"\n", + "\n", + "class Triangle(Shape):\n", + " def __init__(self, base, height, x, y):\n", + " self.base = base\n", + " self.height = height\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def area(self): return 0.5 * self.base * self.height\n", + " def perimeter(self): return self.base + self.height + math.sqrt(self.base**2 + self.height**2)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(5):\n", + " points.append((self.x + (self.base * i / 5), self.y))\n", + " points.append((self.x, self.y + (self.height * i / 5)))\n", + " points.append((self.x + (self.base * i / 5), self.y + self.height - (self.height * i / 5)))\n", + " points.append((self.x + self.base, self.y))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " if not ((self.x <= px <= self.x + self.base) and (self.y <= py <= self.y + self.height)):\n", + " return False\n", + " return py <= self.y + self.height - (self.height / self.base) * (px - self.x)\n", + "\n", + " def __repr__(self):\n", + " return f\"Triangle({self.base}, {self.height}, {self.x}, {self.y})\"" + ] }, { "cell_type": "markdown", @@ -130,10 +472,87 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n" + ] + } + ], + "source": [ + "class Shape:\n", + " def area(self): raise NotImplementedError\n", + " def perimeter(self): raise NotImplementedError\n", + " def get_perimeter_points(self): raise NotImplementedError\n", + " def contains(self, x, y): raise NotImplementedError\n", + " \n", + " def overlaps(self, other):\n", + " for px, py in other.get_perimeter_points():\n", + " if self.contains(px, py):\n", + " return True\n", + " \n", + " for px, py in self.get_perimeter_points():\n", + " if other.contains(px, py):\n", + " return True\n", + " \n", + " return False\n", + "\n", + "class Rectangle(Shape):\n", + " def __init__(self, length, width, x, y):\n", + " self.length = length\n", + " self.width = width\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def area(self): return self.length * self.width\n", + " def perimeter(self): return 2 * (self.length + self.width)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(4):\n", + " points.append((self.x + (self.length * i / 4), self.y))\n", + " points.append((self.x + (self.length * i / 4), self.y - self.width))\n", + " points.append((self.x, self.y - (self.width * i / 4)))\n", + " points.append((self.x + self.length, self.y - (self.width * i / 4)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return (self.x <= px <= self.x + self.length) and (self.y - self.width <= py <= self.y)\n", + "\n", + " def __repr__(self):\n", + " return f\"Rectangle({self.length}, {self.width}, {self.x}, {self.y})\"\n", + "\n", + "class Circle(Shape):\n", + " def __init__(self, radius, cx, cy):\n", + " self.radius = radius\n", + " self.cx = cx\n", + " self.cy = cy\n", + " \n", + " def area(self): return math.pi * (self.radius ** 2)\n", + " def perimeter(self): return 2 * math.pi * self.radius\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(16):\n", + " angle = 2 * math.pi * i / 16\n", + " points.append((self.cx + self.radius * math.cos(angle), self.cy + self.radius * math.sin(angle)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return math.sqrt((px - self.cx)**2 + (py - self.cy)**2) <= self.radius\n", + "\n", + " def __repr__(self):\n", + " return f\"Circle({self.radius}, {self.cx}, {self.cy})\"\n", + "\n", + "# --- Q9 Test ---\n", + "r1 = Rectangle(10, 10, 0, 10)\n", + "c1 = Circle(5, 5, 5)\n", + "print(r1.overlaps(c1))" + ] }, { "cell_type": "markdown", @@ -144,10 +563,184 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n", + " \n", + " ########### \n", + " ########### \n", + " ########### O \n", + " ########### OOOOO \n", + " ########### OOOOOOO \n", + " ########### OOOOOOO \n", + " OOOOOOOOO \n", + " OOOOOOO \n", + " OOOOOOO \n", + " OOOOO \n", + " O \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "class Canvas:\n", + " def __init__(self, width, height):\n", + " self.width = width\n", + " self.height = height\n", + " self.data = [[' '] * width for i in range(height)]\n", + "\n", + " def set_pixel(self, row, col, char='*'):\n", + " if 0 <= row < self.height and 0 <= col < self.width:\n", + " self.data[row][col] = char\n", + "\n", + " def get_pixel(self, row, col):\n", + " return self.data[row][col]\n", + " \n", + " def clear_canvas(self):\n", + " self.data = [[' '] * self.width for i in range(self.height)]\n", + " \n", + " def display(self):\n", + " print(\"\\n\".join([\"\".join(row) for row in self.data]))\n", + "\n", + "class Shape:\n", + " def __init__(self, name=\"\", char=\"*\"):\n", + " self.name = name\n", + " self.char = char\n", + " \n", + " def area(self): raise NotImplementedError\n", + " def perimeter(self): raise NotImplementedError\n", + " def get_perimeter_points(self): raise NotImplementedError\n", + " def contains(self, x, y): raise NotImplementedError\n", + " \n", + " def overlaps(self, other):\n", + " for px, py in other.get_perimeter_points():\n", + " if self.contains(px, py): return True\n", + " for px, py in self.get_perimeter_points():\n", + " if other.contains(px, py): return True\n", + " return False\n", + " \n", + " def paint(self, canvas):\n", + " for row in range(canvas.height):\n", + " for col in range(canvas.width):\n", + " if self.contains(col, row):\n", + " canvas.set_pixel(row, col, self.char)\n", + "\n", + "class Rectangle(Shape):\n", + " def __init__(self, length, width, x, y, name=\"\", char=\"*\"):\n", + " super().__init__(name, char)\n", + " self.length = length\n", + " self.width = width\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def area(self): return self.length * self.width\n", + " def perimeter(self): return 2 * (self.length + self.width)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(4):\n", + " points.append((self.x + (self.length * i / 4), self.y))\n", + " points.append((self.x + (self.length * i / 4), self.y + self.width))\n", + " points.append((self.x, self.y + (self.width * i / 4)))\n", + " points.append((self.x + self.length, self.y + (self.width * i / 4)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return (self.x <= px <= self.x + self.length) and (self.y <= py <= self.y + self.width)\n", + "\n", + " def __repr__(self):\n", + " return f\"Rectangle({self.length}, {self.width}, {self.x}, {self.y}, '{self.name}', '{self.char}')\"\n", + "\n", + "class Circle(Shape):\n", + " def __init__(self, radius, cx, cy, name=\"\", char=\"*\"):\n", + " super().__init__(name, char)\n", + " self.radius = radius\n", + " self.cx = cx\n", + " self.cy = cy\n", + " \n", + " def area(self): return math.pi * (self.radius ** 2)\n", + " def perimeter(self): return 2 * math.pi * self.radius\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(16):\n", + " angle = 2 * math.pi * i / 16\n", + " points.append((self.cx + self.radius * math.cos(angle), self.cy + self.radius * math.sin(angle)))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " return math.sqrt((px - self.cx)**2 + (py - self.cy)**2) <= self.radius\n", + "\n", + " def __repr__(self):\n", + " return f\"Circle({self.radius}, {self.cx}, {self.cy}, '{self.name}', '{self.char}')\"\n", + "\n", + "class Triangle(Shape):\n", + " def __init__(self, base, height, x, y, name=\"\", char=\"*\"):\n", + " super().__init__(name, char)\n", + " self.base = base\n", + " self.height = height\n", + " self.x = x\n", + " self.y = y\n", + " \n", + " def area(self): return 0.5 * self.base * self.height\n", + " def perimeter(self): return self.base + self.height + math.sqrt(self.base**2 + self.height**2)\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for i in range(5):\n", + " points.append((self.x + (self.base * i / 5), self.y))\n", + " points.append((self.x, self.y + (self.height * i / 5)))\n", + " points.append((self.x + (self.base * i / 5), self.y + self.height - (self.height * i / 5)))\n", + " points.append((self.x + self.base, self.y))\n", + " return points\n", + "\n", + " def contains(self, px, py):\n", + " if not ((self.x <= px <= self.x + self.base) and (self.y <= py <= self.y + self.height)):\n", + " return False\n", + " return py <= self.y + self.height - (self.height / self.base) * (px - self.x)\n", + "\n", + " def __repr__(self):\n", + " return f\"Triangle({self.base}, {self.height}, {self.x}, {self.y}, '{self.name}', '{self.char}')\"\n", + "\n", + "class CompoundShape(Shape):\n", + " def __init__(self, shapes, name=\"\", char=\"*\"):\n", + " super().__init__(name, char)\n", + " self.shapes = shapes\n", + " \n", + " def get_perimeter_points(self):\n", + " points = []\n", + " for s in self.shapes: \n", + " points.extend(s.get_perimeter_points())\n", + " return points\n", + " \n", + " def contains(self, x, y):\n", + " return any(s.contains(x, y) for s in self.shapes)\n", + " \n", + " def paint(self, canvas):\n", + " for s in self.shapes:\n", + " s.paint(canvas)\n", + " \n", + " def __repr__(self):\n", + " return f\"CompoundShape({self.shapes}, '{self.name}', '{self.char}')\"\n", + "\n", + "my_canvas = Canvas(40, 20)\n", + "comp = CompoundShape([Rectangle(10, 5, 2, 2, char=\"#\"), Circle(4, 25, 8, char=\"O\")])\n", + "comp.paint(my_canvas)\n", + "my_canvas.display()" + ] }, { "cell_type": "markdown", @@ -158,10 +751,100 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n", + " \n", + " \n", + " \n", + " \n", + " O TTTTTTTTT \n", + " OOOOOOO TTTTTTTT \n", + " OOOOOOOOO TTTTTTT \n", + " OOOOOOOOO TTTTTT \n", + " OOOOOOOOO TTTTT \n", + " OOOOOOOOOOO TTTT \n", + " OOOOOOOOO TTT \n", + " OOOOOOOOO TT \n", + " OOOOOOOOO T \n", + " OOOOOOO \n", + " O \n", + " \n", + " \n", + " \n", + " \n", + "\n", + "\n", + " \n", + " \n", + " O \n", + " OOOOOOO \n", + " OOOOOOOOOOO \n", + " OOOOOOOOOOOOO TTTTTTTTT \n", + " OOOOOOOOOOOOO TTTTTTTT \n", + " OOOOOOOOOOOOOOO TTTTTTT \n", + " OOOOOOOOOOOOOOO TTTTTT \n", + " OOOOOOOOOOOOOOO TTTTT \n", + " OOOOOOOOOOOOOOOOO TTTT \n", + " OOOOOOOOOOOOOOO TTT \n", + " OOOOOOOOOOOOOOO TT \n", + " OOOOOOOOOOOOOOO T \n", + " OOOOOOOOOOOOO \n", + " OOOOOOOOOOOOO \n", + " OOOOOOOOOOO \n", + " OOOOOOO \n", + " O \n", + " \n" + ] + } + ], + "source": [ + "class RasterDrawing:\n", + " def __init__(self):\n", + " self.shapes = dict()\n", + " self.shape_names = list()\n", + " \n", + " def add_shape(self, shape):\n", + " if shape.name == \"\":\n", + " shape.name = self.assign_name()\n", + " self.shapes[shape.name] = shape\n", + " self.shape_names.append(shape.name)\n", + "\n", + " def update(self, canvas):\n", + " canvas.clear_canvas()\n", + " self.paint(canvas)\n", + " \n", + " def paint(self, canvas):\n", + " for shape_name in self.shape_names:\n", + " self.shapes[shape_name].paint(canvas)\n", + " \n", + " def assign_name(self):\n", + " name_base = \"shape\"\n", + " name = name_base + \"_0\"\n", + " i = 1\n", + " while name in self.shapes:\n", + " name = name_base + \"_\" + str(i)\n", + " i += 1\n", + " return name\n", + "\n", + "drawing_canvas = Canvas(40, 20)\n", + "rd = RasterDrawing()\n", + "rd.add_shape(Circle(5, 10, 10, char=\"O\"))\n", + "rd.add_shape(Triangle(8, 8, 20, 5, char=\"T\"))\n", + "rd.paint(drawing_canvas)\n", + "drawing_canvas.display()\n", + "\n", + "print(\"\\n\")\n", + "\n", + "rd.shapes[\"shape_0\"].radius = 8\n", + "rd.update(drawing_canvas)\n", + "drawing_canvas.display()" + ] }, { "cell_type": "markdown", @@ -177,6 +860,65 @@ "For example:" ] }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n", + " \n", + " \n", + " \n", + " \n", + " ########### \n", + " ########### \n", + " ########### O \n", + " ########### OOOOO \n", + " ########### OOOOO \n", + " ########### OOOOOOO \n", + " OOOOO \n", + " OOOOO \n", + " O \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n" + ] + } + ], + "source": [ + "class RasterDrawingSaveable(RasterDrawing):\n", + " def save(self, filename):\n", + " with open(filename, \"w\") as f:\n", + " f.write(repr(list(self.shapes.values())))\n", + " \n", + "def load_drawing(filename):\n", + " with open(filename, \"r\") as f:\n", + " shapes_list = eval(f.read())\n", + " \n", + " new_drawing = RasterDrawingSaveable()\n", + " for s in shapes_list:\n", + " new_drawing.add_shape(s)\n", + " return new_drawing\n", + "\n", + "drawing = RasterDrawingSaveable()\n", + "drawing.add_shape(Rectangle(10, 5, 5, 5, char=\"#\"))\n", + "drawing.add_shape(Circle(3, 25, 10, char=\"O\"))\n", + "\n", + "drawing.save(\"lab4_drawing.txt\")\n", + "\n", + "loaded = load_drawing(\"lab4_drawing.txt\")\n", + "test_canvas = Canvas(40, 20)\n", + "loaded.paint(test_canvas)\n", + "test_canvas.display()" + ] + }, { "cell_type": "code", "execution_count": 1, @@ -276,7 +1018,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ds", "language": "python", "name": "python3" }, @@ -290,7 +1032,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.11.14" } }, "nbformat": 4, diff --git a/Labs/Lab.4/lab4_drawing.txt b/Labs/Lab.4/lab4_drawing.txt new file mode 100644 index 00000000..0f104b0f --- /dev/null +++ b/Labs/Lab.4/lab4_drawing.txt @@ -0,0 +1 @@ +[Rectangle(10, 5, 5, 5, 'shape_0', '#'), Circle(3, 25, 10, 'shape_1', 'O')] \ No newline at end of file diff --git a/Lectures/.DS_Store b/Lectures/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..6ffb5a0dd264b30afc8a492944c4c2f4f3857123 GIT binary patch literal 8196 zcmeHM%}*0S6n_IKt*9(tiWrj(y_i6dZ)}XA7K}D(Ae0~|Shwv^HY_{M?iN%+(zBlQ zu6M7VOuTsX;?V=9a(EJ_qqoKt2GL{W)KF^Ht2 z-{iv)V+xBBB^`*Q15tM-DnlXS?#MI6a3C>>y44D31*#R`xqBGyV%DC4V0Zq`GHHjU z(aQrWjkDpDIzr)aIAwHhZVpCAd(DC9$X2hp z866nvHAjaBx3wg3GpSW)&1KJV6H+CO{dSCZ8ln3+gjRNIyySeo$tKRb+IdDw56@gYR==&Ji#31#hn6unDgvxGH+#U zH#Z;9CqdGFMpH&>#n2g=eYDdx`!tVZ+IKp{bhkW8T`}L(^0H5Z`Caxx%4qg89&?;& z=G%eI+=WFS6;A|oE#WRRyyH5mJ(cG!e~x-SVijk8!SX!I&C&SNCC5rrXUdJUAYg0r zc80m~$(zNrcscD+K4oP5hZHmtyHheQOT&POH1K@hUa}OD$VV#8S(mvq9EnZK%P?-D zJ#Yi=!5pl@Gk6KF;VpcCPw*AK!%xyk4AM<{$S}E1#>s7xAP-1}tPq=ca)P?j$9+lN zN&)fF*yH0~PkOGy+#Gs2vwFnU^576besFL^D;PY;YcT%XaEj`1I!@sftq3Rl<{xUQ zm$P^B{Qu_uzyBZVGw8{+0$PDTs{m=3OiuD6erflwd>npkHnBd&$_pP?lqe|J@FBck lq~nO&e;A@|Dql=tQ6hS<9Qh9c|Il$-@Bhc@IDMr1|8MVtuUG&8 literal 0 HcmV?d00001 From 6ec020e0f7962ab7a36e64c49d007ef4c5c540e8 Mon Sep 17 00:00:00 2001 From: Subham-Kalwar Date: Fri, 20 Feb 2026 21:40:06 -0600 Subject: [PATCH 2/4] pasting previous labs that was submitted to wrong repo --- .DS_Store | Bin 8196 -> 8196 bytes Labs/.DS_Store | Bin 8196 -> 10244 bytes Labs/Lab.2/.DS_Store | Bin 0 -> 6148 bytes Labs/Lab.2/Lab.2.ipynb | 1683 ++++++++++++++++++++++++++++++++++++++-- Labs/Lab.3/.DS_Store | Bin 0 -> 6148 bytes Labs/Lab.3/Lab.3.ipynb | 453 ++++++++--- 6 files changed, 1975 insertions(+), 161 deletions(-) create mode 100644 Labs/Lab.2/.DS_Store create mode 100644 Labs/Lab.3/.DS_Store diff --git a/.DS_Store b/.DS_Store index 8304a74440a51c56eca10b213f00721d1924dc13..a329cf562a6e93ba902b33647b1d7a75daadd887 100644 GIT binary patch delta 104 zcmZp1XmQwZK!C&4%uq+c(9&Y^Sz-Ih?1FYoQZkd>1@B153-A|b#Ym B9rFMH delta 25 hcmZp1XmQwZKw$DwVfV@Gf_9sOM3ysdej_Bo3jl&q2|EA) diff --git a/Labs/.DS_Store b/Labs/.DS_Store index f7f4170980372ce92a1f25fa77bd9b69d00cfacf..1df00a398015a3a3f519966ba6a5a080d3d82357 100644 GIT binary patch delta 200 zcmZp1XbF&DU|?W$DortDU{C-uIe-{M3-C-V6q~50$jG-bU^hP_-)0^Genv*4$pwN9 z9HwT5ItqrC7L$JndNLYqb`r{9WJ-Q8d5v%luTfcWQC?1dUOLbS#>sqw=8VP|T6m3- z6>YW<)MnmTK7oB=L#QA#P#X{^a03ZfkRvu0erKM{FB2%j1aX=MNScv>!2m>0E|BTl J>@3K{3;=BiD!Tvx delta 102 zcmZn(XmOBWU|?W$DortDU;r^WfEYvza8E20o2aMA$hk3KH$NliW*z~4#>wx5wKlVe r$}w+F=2^ll$P82m1QOgp!WE=tW8rt^$^0sT9E=cy7&gcA%wYxqpwAK$ diff --git a/Labs/Lab.2/.DS_Store b/Labs/Lab.2/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6 GIT binary patch literal 6148 zcmeH~Jr2S!425mzP>H1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0For Solution 1\n", + "\n", + "

Same:

\n", + "\n", + "Both use nested loops\n", + "\n", + "Both construct the board row by row\n", + "\n", + "Both use append() to add values\n", + "\n", + "Both return an n × n list of lists\n", + "\n", + "Both are easy to understand and beginner-friendly\n", + "\n", + "\n", + "

Different:

\n", + "\n", + "Your solution defines empty, X, and O, while Solution 1 directly uses 0\n", + "\n", + "Your solution documents the meaning of values more clearly\n", + "\n", + "Solution 1 is slightly shorter\n", + "\n", + "\n", + "

For Solution 2

\n", + "\n", + "

Same:

\n", + "\n", + "Both return an n × n Tic Tac Toe board\n", + "\n", + "Both use 0 to represent empty spaces\n", + "\n", + "Both solve the same problem correctly\n", + "\n", + "\n", + "

Different:

\n", + "\n", + "Your solution uses explicit loops, Solution 2 uses list comprehension\n", + "\n", + "Your solution is more readable for beginners\n", + "\n", + "Solution 2 is more compact but less transparent\n", + "\n", + "Your solution clearly shows how the matrix is built step by step\n", + "\n", + "\n", + "

For Solution 3

\n", + "\n", + "

Same:

\n", + "\n", + "Both create each row separately\n", + "\n", + "Both store rows in a board list\n", + "\n", + "Both correctly initialize all cells as empty (0)\n", + "\n", + "\n", + "

Different:

\n", + "\n", + "Your solution fills rows using an inner loop, Solution 3 uses [0] * n\n", + "\n", + "Your approach is more detailed and instructional\n", + "\n", + "Solution 3 is more concise and slightly more efficient\n" ] }, { @@ -117,6 +227,19 @@ "**Question:** Which solution most closely matches your solution? What are the main differences?" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Solution 1 is the closest match because:

\n", + "\n", + "It follows the same structure\n", + "\n", + "Uses the same logic\n", + "\n", + "Builds the matrix step-by-step just like my implementation" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -138,20 +261,45 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 84, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution \n", + "def draw_board(r,c):\n", + " for i in range(r):\n", + " row = \"\"\n", + " empty = \" \"\n", + " print(\" --- \" *c)\n", + " for j in range(c):\n", + " row += \"| \" + empty + \" |\"\n", + " \n", + " print(row)\n", + " print(\" --- \" *c)" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 86, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " --- --- --- \n", + "| || || |\n", + " --- --- --- \n", + "| || || |\n", + " --- --- --- \n", + "| || || |\n", + " --- --- --- \n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution \n", + "draw_board(3,3)" ] }, { @@ -163,20 +311,48 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 88, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution \n", + "def draw_board(board):\n", + " n = len(board)\n", + " m = len(board[0])\n", + " icons = {1:\"X\",2:\"O\",0:\" \"}\n", + " for i in range(n):\n", + " row = \"\"\n", + " print(\" --- \"*m)\n", + " for j in range(m):\n", + " row += (f\"| {icons[int(board[i][j])]} |\")\n", + " print(row)\n", + "\n", + " print(\" --- \"*m)" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 89, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " --- --- --- \n", + "| X || X || X |\n", + " --- --- --- \n", + "| X || X || X |\n", + " --- --- --- \n", + "| X || X || X |\n", + " --- --- --- \n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution \n", + "b= make_board(3)\n", + "draw_board(b)" ] }, { @@ -193,27 +369,51 @@ "Here are some example inputs you can use to test your code:\n" ] }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# Write your solution here" - ] - }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ - "# Test your solution here" + "# Write your solution \n", + "def check_play(board):\n", + " r = len(board)\n", + " c = len(board[0])\n", + "\n", + " for i in range(r):\n", + " if all(board[i][j] == 1 for j in range(c)):\n", + " return 1\n", + " elif all(board[i][j] == 2 for j in range(c)):\n", + " return 2\n", + " \n", + " for j in range(c):\n", + " if all(board[i][j] == 1 for i in range(r)):\n", + " return 1\n", + " elif all(board[i][j] == 2 for i in range(r)):\n", + " return 2\n", + " \n", + " \n", + " if all(board[i][i] == 1 for i in range(r)):\n", + " return 1\n", + " elif all(board[i][i] == 2 for i in range(r)):\n", + " return 2\n", + "\n", + " if all(board[i][r-1-i] == 1 for i in range(r)):\n", + " return 1\n", + " elif all(board[i][r-1-i] == 2 for i in range(r)):\n", + " return 2\n", + "\n", + "\n", + " for i in range(r):\n", + " if any(board[i][j] == 0 for j in range(c)):\n", + " return -1\n", + " \n", + " return 0" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -235,7 +435,38 @@ "\n", "also_no_winner = [[1, 2, 0],\n", "\t[2, 1, 0],\n", - "\t[2, 1, 0]]" + "\t[2, 1, 0]]\n", + "\n", + "draw = [[1,2,1],\n", + " [2,2,1],\n", + " [1,1,2]]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n", + "1\n", + "1\n", + "-1\n", + "-1\n", + "0\n" + ] + } + ], + "source": [ + "print(check_play(winner_is_2))\n", + "print(check_play(winner_is_1))\n", + "print(check_play(winner_is_also_1))\n", + "print(check_play(no_winner))\n", + "print(check_play(also_no_winner))\n", + "print(check_play(draw))" ] }, { @@ -252,20 +483,85 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution here\n", + "def player_move(board, player, x, y):\n", + " col = ord(x.upper()) - ord('A')\n", + " row = int(y) - 1\n", + "\n", + " if board[row][col] != 0:\n", + " return \"Invalid move!\"\n", + "\n", + " board[row][col] = player\n", + " return True" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 59, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | | X |\n", + " --- --- --- \n", + "2 | | X | |\n", + " --- --- --- \n", + "3 | O | O | |\n", + " --- --- --- \n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Press 1 for X and 2 for O 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter co-ordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the x co-ordinates: b\n", + "Enter the y co-ordinates: 1\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "b = [[1, 0, 1],\n", + "\t[0, 1, 0],\n", + "\t[2, 2, 0]]\n", + "draw_board(b)\n", + "a = input(\"Press 1 for X and 2 for O\")\n", + "print(\"Enter co-ordinates to make the move\")\n", + "x1 = input(\"Enter the x co-ordinates:\")\n", + "x2 = input(\"Enter the y co-ordinates:\")\n", + "player_move(b,a,x1,x2)" ] }, { @@ -277,20 +573,60 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 92, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "def draw_board(board):\n", + " n = len(board)\n", + " m = len(board[0])\n", + "\n", + " icons = {1: \"X\", 2: \"O\", 0: \" \"}\n", + "\n", + " header = \" \"\n", + " for j in range(m):\n", + " header += f\" {chr(65 + j)} \"\n", + " print(header)\n", + "\n", + " for i in range(n):\n", + " print(\" \" + \"--- \" * m)\n", + " row = f\"{i + 1} \"\n", + " for j in range(m):\n", + " row += f\"| {icons[int(board[i][j])]} \"\n", + " row += \"|\"\n", + " print(row)\n", + "\n", + " print(\" \" + \"--- \" * m)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 24, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | X | X |\n", + " --- --- --- \n", + "2 | O | X | O |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n", + "4 | X | O | |\n", + " --- --- --- \n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution \n", + "draw_board([[1, 1, 1],\n", + "\t[2, 1, 2],\n", + "\t[2, 1, 1],\n", + " [1,2,0]])" ] }, { @@ -302,7 +638,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 70, "metadata": { "ExecuteTime": { "end_time": "2026-01-26T21:09:58.171399Z", @@ -311,16 +647,39 @@ }, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution here\n", + "def move(board,player,a,b):\n", + " player_move(board,player,a,b)\n", + " draw_board(board)\n", + " " ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 71, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | X | X |\n", + " --- --- --- \n", + "2 | O | | O |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "board1=[[1, 0, 1],\n", + "\t[2, 0, 2],\n", + "\t[2, 1, 1]]\n", + "move(board1,1,'b',1)" ] }, { @@ -334,20 +693,90 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 72, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution here\n", + "def play_turn(board, player):\n", + " while True:\n", + " a = input(\"Enter the column letter: \")\n", + " b = input(\"Enter the row number: \")\n", + "\n", + " try:\n", + " if player_move(board, player, a, b) == True:\n", + " move(board, player, a, b)\n", + " break\n", + " else:\n", + " print(\"Invalid move! Try again.\")\n", + " except:\n", + " print(\"Invalid input! Try again.\")" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 73, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter (e.g., A, B, C): s\n", + "Enter the row number (e.g., 1, 2, 3): 9\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Invalid input! Please enter a valid letter and row number.\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter (e.g., A, B, C): a\n", + "Enter the row number (e.g., 1, 2, 3): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Invalid move! That spot is already taken.\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter (e.g., A, B, C): b\n", + "Enter the row number (e.g., 1, 2, 3): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | X | X |\n", + " --- --- --- \n", + "2 | O | | O |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "bord1=[[1, 0, 1],\n", + "\t[2, 0, 2],\n", + "\t[2, 1, 1]]\n", + "play_game(bord1,1)" ] }, { @@ -364,20 +793,258 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 90, "metadata": {}, "outputs": [], "source": [ - "# Write yourrr solution here" + "# Write yourrr solution here\n", + "def make_board(n,m):\n", + " empty = 0\n", + " X = 1\n", + " O = 2\n", + " board = list()\n", + " for i in range(n):\n", + " row = list()\n", + " for j in range(m):\n", + " row.append(0)\n", + " board.append(row)\n", + " return board\n", + " \n", + "def play_game():\n", + " n = int(input(\"Enter the number of rows on board\"))\n", + " m = int(input(\"Enter the number of columns on board: \"))\n", + " board = make_board(n, m)\n", + " current_player = 1\n", + " \n", + " draw_board(board)\n", + " \n", + " while check_play(board) == -1:\n", + " print(f\"Player {current_player}'s turn\")\n", + " play_turn(board,current_player)\n", + " \n", + " status = check_play(board)\n", + " \n", + " if status == 1 or status == 2:\n", + " print(f\"Player {status} wins!\")\n", + " return\n", + " elif status == 0:\n", + " print(\"It's a draw!\")\n", + " return\n", + " \n", + " if current_player == 1:\n", + " current_player = 2\n", + " else:\n", + " current_player = 1" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 93, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the number of rows on board 4\n", + "Enter the number of columns on board: 4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | | | | |\n", + " --- --- --- --- \n", + "2 | | | | |\n", + " --- --- --- --- \n", + "3 | | | | |\n", + " --- --- --- --- \n", + "4 | | | | |\n", + " --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: a\n", + "Enter the row number: 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | | | |\n", + " --- --- --- --- \n", + "2 | | | | |\n", + " --- --- --- --- \n", + "3 | | | | |\n", + " --- --- --- --- \n", + "4 | | | | |\n", + " --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: b\n", + "Enter the row number: 4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | | | |\n", + " --- --- --- --- \n", + "2 | | | | |\n", + " --- --- --- --- \n", + "3 | | | | |\n", + " --- --- --- --- \n", + "4 | | O | | |\n", + " --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: b\n", + "Enter the row number: 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | | | |\n", + " --- --- --- --- \n", + "2 | | X | | |\n", + " --- --- --- --- \n", + "3 | | | | |\n", + " --- --- --- --- \n", + "4 | | O | | |\n", + " --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: b\n", + "Enter the row number: 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | O | | |\n", + " --- --- --- --- \n", + "2 | | X | | |\n", + " --- --- --- --- \n", + "3 | | | | |\n", + " --- --- --- --- \n", + "4 | | O | | |\n", + " --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: c\n", + "Enter the row number: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | O | | |\n", + " --- --- --- --- \n", + "2 | | X | | |\n", + " --- --- --- --- \n", + "3 | | | X | |\n", + " --- --- --- --- \n", + "4 | | O | | |\n", + " --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: d\n", + "Enter the row number: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | O | | |\n", + " --- --- --- --- \n", + "2 | | X | | |\n", + " --- --- --- --- \n", + "3 | | | X | O |\n", + " --- --- --- --- \n", + "4 | | O | | |\n", + " --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: d\n", + "Enter the row number: 4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D \n", + " --- --- --- --- \n", + "1 | X | O | | |\n", + " --- --- --- --- \n", + "2 | | X | | |\n", + " --- --- --- --- \n", + "3 | | | X | O |\n", + " --- --- --- --- \n", + "4 | | O | | X |\n", + " --- --- --- --- \n", + "Player 1 wins!\n" + ] + } + ], "source": [ - "# Test your solution here" + "play_game()" ] }, { @@ -389,11 +1056,283 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 94, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the number of rows on board 5\n", + "Enter the number of columns on board: 5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | | | | | |\n", + " --- --- --- --- --- \n", + "2 | | | | | |\n", + " --- --- --- --- --- \n", + "3 | | | | | |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: a\n", + "Enter the row number: 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | | | | |\n", + " --- --- --- --- --- \n", + "3 | | | | | |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: e\n", + "Enter the row number: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | | | | |\n", + " --- --- --- --- --- \n", + "3 | | | | | O |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: b\n", + "Enter the row number: 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | X | | | |\n", + " --- --- --- --- --- \n", + "3 | | | | | O |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: c\n", + "Enter the row number: 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | | | O |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: c\n", + "Enter the row number: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | X | | O |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: d\n", + "Enter the row number: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | X | O | O |\n", + " --- --- --- --- --- \n", + "4 | | | | | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: d\n", + "Enter the row number: 4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | X | O | O |\n", + " --- --- --- --- --- \n", + "4 | | | | X | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 2's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: e\n", + "Enter the row number: 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | O |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | X | O | O |\n", + " --- --- --- --- --- \n", + "4 | | | | X | |\n", + " --- --- --- --- --- \n", + "5 | | | | | |\n", + " --- --- --- --- --- \n", + "Player 1's turn\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column letter: e\n", + "Enter the row number: 5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C D E \n", + " --- --- --- --- --- \n", + "1 | X | | | | O |\n", + " --- --- --- --- --- \n", + "2 | | X | O | | |\n", + " --- --- --- --- --- \n", + "3 | | | X | O | O |\n", + " --- --- --- --- --- \n", + "4 | | | | X | |\n", + " --- --- --- --- --- \n", + "5 | | | | | X |\n", + " --- --- --- --- --- \n", + "Player 1 wins!\n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "play_game()" ] }, { @@ -409,20 +1348,274 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 95, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution here\n", + "import random\n", + "\n", + "def computer_move(board, computer, human):\n", + " r = len(board)\n", + " c = len(board[0])\n", + "\n", + " def try_move(player):\n", + " for i in range(r):\n", + " for j in range(c):\n", + " if board[i][j] == 0:\n", + " board[i][j] = player\n", + " if check_play(board) == player:\n", + " return (i, j)\n", + " board[i][j] = 0\n", + " return \n", + "\n", + " move = try_move(computer)\n", + " if move:\n", + " board[move[0]][move[1]] = computer\n", + " return\n", + " move = try_move(human)\n", + " if move:\n", + " board[move[0]][move[1]] = computer\n", + " return\n", + " empty = [(i, j) for i in range(r) for j in range(c) if board[i][j] == 0]\n", + " if empty:\n", + " i, j = random.choice(empty)\n", + " board[i][j] = computer" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 96, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the number of rows on board: 3\n", + "Enter the number of columns on board: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | | | |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | |\n", + " --- --- --- \n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Press 1 for 2-player game, 2 to play vs computer: 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): c\n", + "Enter the row (1, 2, 3...): 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | | | |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | O | | |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): c\n", + "Enter the row (1, 2, 3...): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | | | O |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): a\n", + "Enter the row (1, 2, 3...): 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | | | O |\n", + " --- --- --- \n", + "3 | X | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | | O | O |\n", + " --- --- --- \n", + "3 | X | | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): a\n", + "Enter the row (1, 2, 3...): 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | X | O | O |\n", + " --- --- --- \n", + "3 | X | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | O | | X |\n", + " --- --- --- \n", + "2 | X | O | O |\n", + " --- --- --- \n", + "3 | X | O | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): b\n", + "Enter the row (1, 2, 3...): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | O | X | X |\n", + " --- --- --- \n", + "2 | X | O | O |\n", + " --- --- --- \n", + "3 | X | O | X |\n", + " --- --- --- \n", + "Its a draw.\n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "x_size = int(input(\"Enter the number of rows on board: \"))\n", + "y_size = int(input(\"Enter the number of columns on board: \"))\n", + "\n", + "b = make_board(x_size, y_size)\n", + "draw_board(b)\n", + "\n", + "mode = int(input(\"Press 1 for 2-player game, 2 to play vs computer: \"))\n", + "player = 1\n", + "computer = 2 if mode == 2 else None\n", + "moves = -1\n", + "\n", + "while moves == -1:\n", + "\n", + " if mode == 2 and player == computer:\n", + " print(\"Computer is making a move...\")\n", + " computer_move(b, computer, 1)\n", + " else:\n", + " print(\"Enter coordinates to make the move\")\n", + " x1 = input(\"Enter the column (A, B, C...): \")\n", + " x2 = input(\"Enter the row (1, 2, 3...): \")\n", + "\n", + " result = player_move(b, player, x1, x2)\n", + " if result != True:\n", + " print(result)\n", + " continue\n", + "\n", + " draw_board(b)\n", + " moves = check_play(b)\n", + "\n", + " if moves == -1:\n", + " player = 2 if player == 1 else 1\n", + "\n", + "if moves == 1:\n", + " print(\"X won.\")\n", + "elif moves == 2:\n", + " print(\"O won.\")\n", + "else:\n", + " print(\"Its a draw.\")" ] }, { @@ -434,20 +1627,319 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 97, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution here\n", + "import random\n", + "\n", + "def minimax(board, depth, max_depth, player, smart, dumb):\n", + " result = check_play(board)\n", + "\n", + " if result == smart:\n", + " return 100 - depth\n", + " if result == dumb:\n", + " return depth - 100\n", + " if result == 0:\n", + " return 0\n", + "\n", + " if depth == max_depth:\n", + " return 0\n", + "\n", + " r = len(board)\n", + " c = len(board[0])\n", + "\n", + " if player == smart:\n", + " best = -float(\"inf\")\n", + "\n", + " for i in range(r):\n", + " for j in range(c):\n", + " if board[i][j] == 0:\n", + " board[i][j] = smart\n", + " score = minimax(board, depth + 1, max_depth,\n", + " dumb, smart, dumb)\n", + " board[i][j] = 0\n", + " best = max(best, score)\n", + "\n", + " return best\n", + "\n", + " else:\n", + " best = float(\"inf\")\n", + "\n", + " for i in range(r):\n", + " for j in range(c):\n", + " if board[i][j] == 0:\n", + " board[i][j] = dumb\n", + " score = minimax(board, depth + 1, max_depth,\n", + " smart, smart, dumb)\n", + " board[i][j] = 0\n", + " best = min(best, score)\n", + "\n", + " return best\n", + "\n", + "\n", + "def computer_move_exhaustive(board, player, opponent, depth):\n", + " r = len(board)\n", + " c = len(board[0])\n", + "\n", + " best_score = -float(\"inf\")\n", + " best_move = None\n", + "\n", + " for i in range(r):\n", + " for j in range(c):\n", + " if board[i][j] == 0:\n", + " board[i][j] = player\n", + " score = minimax(board, 0, depth,\n", + " opponent, player, opponent)\n", + " board[i][j] = 0\n", + "\n", + " if score > best_score:\n", + " best_score = score\n", + " best_move = (i, j)\n", + "\n", + " if best_move:\n", + " board[best_move[0]][best_move[1]] = player\n" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 99, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the number of rows on board: 3\n", + "Enter the number of columns on board: 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | | | |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | |\n", + " --- --- --- \n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Press 1 for 2-player game, 2 to play vs computer: 2\n", + "Enter search depth (recommended 3-5): 6\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): c\n", + "Enter the row (1, 2, 3...): 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | | | |\n", + " --- --- --- \n", + "2 | | | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | | | |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): a\n", + "Enter the row (1, 2, 3...): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | | |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | X | O | |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | | | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): b\n", + "Enter the row (1, 2, 3...): 3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | O | |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | | X | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | X | O | |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): c\n", + "Enter the row (1, 2, 3...): 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | O | X |\n", + " --- --- --- \n", + "2 | | O | |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n", + "Computer is making a move...\n", + " A B C \n", + " --- --- --- \n", + "1 | X | O | X |\n", + " --- --- --- \n", + "2 | | O | O |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n", + "Enter coordinates to make the move\n" + ] + }, + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Enter the column (A, B, C...): a\n", + "Enter the row (1, 2, 3...): 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " A B C \n", + " --- --- --- \n", + "1 | X | O | X |\n", + " --- --- --- \n", + "2 | X | O | O |\n", + " --- --- --- \n", + "3 | O | X | X |\n", + " --- --- --- \n", + "Its a draw.\n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution \n", + "# Test your solution here\n", + "x_size = int(input(\"Enter the number of rows on board: \"))\n", + "y_size = int(input(\"Enter the number of columns on board: \"))\n", + "\n", + "b = make_board(x_size, y_size)\n", + "draw_board(b)\n", + "\n", + "mode = int(input(\"Press 1 for 2-player game, 2 to play vs computer: \"))\n", + "player = 1\n", + "computer = 2 if mode == 2 else None\n", + "if mode == 2:\n", + " max_depth = int(input(\"Enter search depth (recommended 3-5): \"))\n", + "\n", + "moves = -1\n", + "\n", + "while moves == -1:\n", + "\n", + " if mode == 2 and player == computer:\n", + " print(\"Computer is making a move...\")\n", + " computer_move_exhaustive(b, computer, 1, max_depth)\n", + " else:\n", + " print(\"Enter coordinates to make the move\")\n", + " x1 = input(\"Enter the column (A, B, C...): \")\n", + " x2 = input(\"Enter the row (1, 2, 3...): \")\n", + "\n", + " result = player_move(b, player, x1, x2)\n", + " if result != True:\n", + " print(result)\n", + " continue\n", + "\n", + " draw_board(b)\n", + " moves = check_play(b)\n", + "\n", + " if moves == -1:\n", + " player = 2 if player == 1 else 1\n", + "\n", + "if moves == 1:\n", + " print(\"X won.\")\n", + "elif moves == 2:\n", + " print(\"O won.\")\n", + "else:\n", + " print(\"Its a draw.\")" ] }, { @@ -459,20 +1951,67 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 103, "metadata": {}, "outputs": [], "source": [ - "# Write your solution here" + "# Write your solution \n", + "def play_ai_vs_ai(size, depth_smart, depth_dumb, games=10):\n", + " smart_wins = 0\n", + " draw= 0\n", + " for g in range(games):\n", + " board = make_board(size, size)\n", + "\n", + " smart = 1 if g % 2 == 0 else 2\n", + " dumb = 2 if smart == 1 else 1\n", + "\n", + " player = 1\n", + " result = -1\n", + "\n", + " while result == -1:\n", + " if player == smart:\n", + " computer_move_exhaustive(board, smart, dumb, depth_smart)\n", + " else:\n", + " computer_move_exhaustive(board, dumb, smart, depth_dumb)\n", + "\n", + " result = check_play(board)\n", + " player = 2 if player == 1 else 1\n", + "\n", + " if result == smart:\n", + " smart_wins += 1\n", + " elif result == 0:\n", + " draw += 1\n", + "\n", + " win_rate = smart_wins / games * 100\n", + " print(f\"{size}x{size} grid → Smart AI win rate: {win_rate:.1f}% with {draw} draws.\")\n" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 104, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "AI vs AI experiment:\n", + "\n", + "3x3 grid → Smart AI win rate: 50.0% with 5 draws.\n", + "4x4 grid → Smart AI win rate: 0.0% with 10 draws.\n", + "5x5 grid → Smart AI win rate: 0.0% with 10 draws.\n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "# Test your solution here\n", + "print(\"\\nAI vs AI experiment:\\n\")\n", + "\n", + "play_ai_vs_ai(3, depth_smart=5, depth_dumb=2)\n", + "play_ai_vs_ai(4, depth_smart=4, depth_dumb=2)\n", + "play_ai_vs_ai(5, depth_smart=3, depth_dumb=1)" ] }, { @@ -510,7 +2049,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.12.12" } }, "nbformat": 4, diff --git a/Labs/Lab.3/.DS_Store b/Labs/Lab.3/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..b64e8a66be762fa35434803973b0b1ba7339f481 GIT binary patch literal 6148 zcmeHKJ5EDE3>-s>AexkvdxA)a3#_7~K%(OU@QA1)g@*oBIS?n{W@P*kB6`pu(V($p z&#u?=HgAgO7=W!_x7WY|z?|-ggNLd4x%Y|KHGmnEy{n+DQQ^@UIlG+4_FH;wx2eoxGg)+D3n%d(AuD qjq9K=L^~!%JLbmQ@l_OMUGp{1d*PTEbmoIj)Sm&@MJ5IQT7e_O6B^F| literal 0 HcmV?d00001 diff --git a/Labs/Lab.3/Lab.3.ipynb b/Labs/Lab.3/Lab.3.ipynb index 3dc0438e..0154b718 100644 --- a/Labs/Lab.3/Lab.3.ipynb +++ b/Labs/Lab.3/Lab.3.ipynb @@ -207,9 +207,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of x is 0.9036066841881488\n" + ] + } + ], "source": [ "import random\n", "x=random.random()\n", @@ -227,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -235,18 +243,30 @@ "def generate_uniform(N,x_min,x_max):\n", " out = []\n", " ### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + " for _ in range(N):\n", + " d = random.random()\n", + " out.append(int(x_min + d * (x_max - x_min)))\n", " ### END SOLUTION\n", " return out" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data Type: \n", + "Data Length: 1000\n", + "Type of Data Contents: \n", + "Data Minimum: -9\n", + "Data Maximum: 9\n" + ] + } + ], "source": [ "# Test your solution here\n", "data=generate_uniform(1000,-10,10)\n", @@ -268,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -276,10 +296,10 @@ "def mean(Data):\n", " m=0.\n", " \n", - " ### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + " ### BEGIN SOLUTION \n", + " n = len(Data)\n", + " Summation = sum(Data)\n", + " m = Summation/n\n", " ### END SOLUTION\n", " \n", " return m" @@ -287,11 +307,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean of Data: 9.0\n" + ] + } + ], "source": [ "# Test your solution here\n", + "data = [8,10]\n", "print (\"Mean of Data:\", mean(data))" ] }, @@ -305,7 +334,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -314,9 +343,14 @@ " m=0.\n", " \n", " ### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + " n = len(Data)\n", + " x_bar = mean(Data)\n", + " summation = 0\n", + " for i in range(n):\n", + " difference_sq = (Data[i] - x_bar) * (Data[i] - x_bar)\n", + " summation += difference_sq\n", + " \n", + " m = (1/(n-1)) * summation\n", " ### END SOLUTION\n", " \n", " return m" @@ -324,11 +358,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Variance of Data: 542.1944444444445\n" + ] + } + ], "source": [ "# Test your solution here\n", + "data = [12,19,45,68,90,42,47,50,48]\n", "print (\"Variance of Data:\", variance(data))" ] }, @@ -358,16 +401,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Solution\n", "def histogram(x,n_bins=10,x_min=None,x_max=None):\n", " ### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + " x_min, x_max = min(x), max(x)\n", + " bin_size = (x_max - x_min) / n_bins\n", + " hist = [0] * n_bins\n", + " bin_edges = [x_min + i * bin_size for i in range(n_bins + 1)]\n", + " for value in x:\n", + " for i in range(n_bins):\n", + " lower_bound = bin_edges[i]\n", + " upper_bound = bin_edges[i+1]\n", + " if lower_bound <= value <= upper_bound:\n", + " hist[i] += 1\n", + " break\n", " ### END SOLUTION\n", "\n", " return hist,bin_edges" @@ -375,13 +426,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[3, 2, 2]\n", + "[1.0, 4.666666666666666, 8.333333333333332, 12.0]\n" + ] + } + ], "source": [ "# Test your solution here\n", - "h,b=histogram(data,100)\n", - "print(h)" + "data = [1, 2, 2, 5, 8, 10, 12]\n", + "h,b=histogram(data,3)\n", + "print(h)\n", + "print(b)" ] }, { @@ -407,29 +469,59 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ - "# Solution\n", - "def draw_histogram(x,n_bins,x_min=None,x_max=None,character=\"#\",max_character_per_line=20):\n", + "def draw_histogram(x, n_bins, x_min=None, x_max=None, character=\"#\", max_character_per_line=20):\n", " ### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", + " hist, bin_edges = histogram(x, n_bins)\n", + " max_h = max(hist)\n", " \n", + " for i in range(len(hist)):\n", + " if max_h > 0:\n", + " num_chars = int((hist[i] / max_h) * max_character_per_line)\n", + " else:\n", + " num_chars = 0\n", + " \n", + " bar = character * num_chars\n", + " lower = bin_edges[i]\n", + " upper = bin_edges[i+1]\n", + " print(f\"[{lower:>3.0f}, {upper:>3.0f}] : {bar}\")\n", " ### END SOLUTION\n", "\n", - " return hist,bin_edges" + " return hist, bin_edges" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0, 1] : ######\n", + "[ 1, 2] : ######\n", + "[ 2, 3] : #############\n", + "[ 3, 4] : ####################\n", + "[ 4, 4] : #############\n", + "[ 4, 5] : ####################\n", + "[ 5, 6] : #############\n", + "[ 6, 7] : ####################\n", + "[ 7, 8] : #############\n", + "[ 8, 9] : ####################\n" + ] + } + ], "source": [ "# Test your solution here\n", - "h,b=histogram(data,20)" + "# Create simple data from 0 to 10 to match your image\n", + "data = [0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9]\n", + "\n", + "# This line will now print the graph to the screen\n", + "h, b = draw_histogram(data, n_bins=10)" ] }, { @@ -443,29 +535,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ - "def where(mylist,myfunc):\n", - " out= []\n", - " \n", - " ### BEGIN SOLUTION\n", + "def where(mylist, myfunc):\n", + " out = []\n", "\n", - " # Fill in your solution here \n", - " \n", + " ### BEGIN SOLUTION\n", + " for i in range(len(mylist)):\n", + " if myfunc(mylist[i]):\n", + " out.append(i)\n", " ### END SOLUTION\n", - " \n", + "\n", " return out" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 3]\n" + ] + } + ], "source": [ - "# Test your solution here" + "# Test your solution here\n", + "data = [0.1, 0.6, 0.3, 0.8, 0.2]\n", + "indices = where(data, lambda x: x > 0.5)\n", + "print(indices)" ] }, { @@ -483,9 +586,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True True False False False\n", + "False False True True False\n", + "Number of Entries passing F1: 5\n", + "Number of Entries passing F2: 0\n" + ] + } + ], "source": [ "def in_range(mymin,mymax):\n", " def testrange(x):\n", @@ -493,8 +607,8 @@ " return testrange\n", "\n", "# Examples:\n", - "F1=inrange(0,10)\n", - "F2=inrange(10,20)\n", + "F1=in_range(0,10)\n", + "F2=in_range(10,20)\n", "\n", "# Test of in_range\n", "print (F1(0), F1(1), F1(10), F1(15), F1(20))\n", @@ -506,24 +620,63 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + "def is_even(x):\n", + " return x % 2 == 0\n", + "\n", + "def is_odd(x):\n", + " return x % 2 != 0\n", + "\n", + "def greater_than(val):\n", + " def tester(x):\n", + " return x > val\n", + " return tester\n", + "\n", + "def less_than(val):\n", + " def tester(x):\n", + " return x < val\n", + " return tester\n", + "\n", + "def equal(val):\n", + " def tester(x):\n", + " return x == val\n", + " return tester\n", + "\n", + "def divisible_by(val):\n", + " def tester(x):\n", + " return x % val == 0\n", + " return tester \n", "### END SOLUTION" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Even indices: [1, 3, 5, 6]\n", + "Greater than 5 indices: [5, 6, 7]\n", + "Divisible by 3 indices: [2, 5, 7]\n" + ] + } + ], "source": [ - "# Test your solution" + "# Test your solution\n", + "data = [1, 2, 3, 4, 5, 6, 10, 15]\n", + "\n", + "print(\"Even indices:\", where(data, is_even))\n", + "\n", + "print(\"Greater than 5 indices:\", where(data, greater_than(5)))\n", + "\n", + "print(\"Divisible by 3 indices:\", where(data, divisible_by(3)))" ] }, { @@ -535,14 +688,30 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Even: 4\n", + "Odd: 4\n", + "Greater than: 8\n", + "Less than: 0\n", + "Equal: 0\n", + "Divisible by: 3\n" + ] + } + ], "source": [ "### BEGIN SOLUTION\n", - "\n", - " # Fill in your solution here \n", - " \n", + "print(\"Even:\", sum(map(lambda x: x % 2 == 0, data)))\n", + "print(\"Odd:\", sum(map(lambda x: x % 2 != 0, data)))\n", + "print(\"Greater than:\", sum(map(lambda x: x > 0.5, data)))\n", + "print(\"Less than:\", sum(map(lambda x: x < 0.5, data)))\n", + "print(\"Equal:\", sum(map(lambda x: x == 0, data)))\n", + "print(\"Divisible by:\", sum(map(lambda x: x % 3 == 0, data)))\n", "### END SOLUTION" ] }, @@ -561,30 +730,73 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def generate_function(func,x_min,x_max,N=1000):\n", " out = list()\n", " ### BEGIN SOLUTION\n", + " import random\n", "\n", - " # Fill in your solution here \n", + " y_max = 0\n", + " steps = 1000\n", + " step_size = (x_max - x_min) / steps\n", " \n", + " for i in range(steps):\n", + " val = func(x_min + i * step_size)\n", + " if val > y_max:\n", + " y_max = val\n", + " \n", + " while len(out) < N:\n", + " test_x = random.uniform(x_min, x_max)\n", + " p = random.uniform(0, y_max)\n", + " \n", + " if p <= func(test_x):\n", + " out.append(test_x)\n", " ### END SOLUTION\n", - " \n", " return out" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ -5, -5] : ####################\n", + "[ -5, -4] : ##################\n", + "[ -4, -4] : ################\n", + "[ -4, -3] : ##############\n", + "[ -3, -3] : ##########\n", + "[ -3, -3] : #########\n", + "[ -3, -2] : #######\n", + "[ -2, -2] : ####\n", + "[ -2, -1] : ##\n", + "[ -1, -1] : #\n", + "[ -1, -1] : #\n", + "[ -1, -0] : ##\n", + "[ -0, 0] : #####\n", + "[ 0, 1] : #######\n", + "[ 1, 1] : #########\n", + "[ 1, 1] : ###########\n", + "[ 1, 2] : ##############\n", + "[ 2, 2] : ###############\n", + "[ 2, 3] : #################\n", + "[ 3, 3] : ##################\n", + "([950, 863, 792, 686, 521, 432, 354, 219, 142, 54, 54, 137, 262, 362, 442, 565, 695, 741, 835, 894], [-4.999913621869641, -4.599928144478, -4.199942667086358, -3.7999571896947164, -3.3999717123030746, -2.999986234911433, -2.6000007575197914, -2.2000152801281496, -1.8000298027365078, -1.400044325344866, -1.0000588479532242, -0.6000733705615824, -0.20008789316994147, 0.19989758422170034, 0.5998830616133422, 0.999868539004984, 1.3998540163966258, 1.7998394937882676, 2.1998249711799094, 2.599810448571551, 2.999795925963193])\n" + ] + } + ], "source": [ "# A test function\n", "def test_func(x,a=1,b=1):\n", - " return abs(a*x+b)" + " return abs(a*x+b)\n", + "data = generate_function(test_func, x_min=-5, x_max=3, N=10000)\n", + "print(draw_histogram(data, n_bins=20))" ] }, { @@ -596,9 +808,38 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: -0.0052738494072836215\n", + "Variance: 0.9638367958021714\n", + "[ -4, -3] : \n", + "[ -3, -3] : \n", + "[ -3, -3] : \n", + "[ -3, -2] : \n", + "[ -2, -2] : ##\n", + "[ -2, -1] : ###\n", + "[ -1, -1] : #########\n", + "[ -1, -1] : #############\n", + "[ -1, -0] : ################\n", + "[ -0, 0] : ####################\n", + "[ 0, 0] : ###############\n", + "[ 0, 1] : ###############\n", + "[ 1, 1] : ###########\n", + "[ 1, 2] : ######\n", + "[ 2, 2] : ###\n", + "[ 2, 2] : ##\n", + "[ 2, 3] : \n", + "[ 3, 3] : \n", + "[ 3, 3] : \n", + "[ 3, 4] : \n" + ] + } + ], "source": [ "import math\n", "\n", @@ -607,6 +848,17 @@ " return math.exp(-((x-mean)**2)/(2*sigma**2))/math.sqrt(math.pi*sigma)\n", " return f\n", "\n", + "g1 = gaussian(0, 1)\n", + "data = generate_function(g1, -5, 5, N=1000)\n", + "\n", + "calc_mean = sum(data) / len(data)\n", + "calc_var = sum([(x - calc_mean)**2 for x in data]) / len(data)\n", + "\n", + "print(f\"Mean: {calc_mean}\")\n", + "print(f\"Variance: {calc_var}\")\n", + "\n", + "draw_histogram(data, n_bins=20)\n", + "\n", "# Example Instantiation\n", "g1=gaussian(0,1)\n", "g2=gaussian(10,3)" @@ -621,19 +873,42 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def integrate(func, x_min, x_max, n_points=1000):\n", - " \n", + " ### BEGIN SOLUTION\n", + " all_data = generate_function(func, x_min - 5, x_max + 5, N=n_points)\n", + " checker = in_range(x_min, x_max)\n", + " valid_indices = where(all_data, checker)\n", + " integral = len(valid_indices) / n_points\n", + " ### END SOLUTION\n", " return integral" ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.6908\n" + ] + } + ], + "source": [ + "g1 = gaussian(0, 1)\n", + "print(integrate(g1, -1, 1, n_points=5000))" + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ds", "language": "python", "name": "python3" }, @@ -647,7 +922,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.11.14" } }, "nbformat": 4, From 929de98ef3bcfacba42b27a0f588b6135809c4f5 Mon Sep 17 00:00:00 2001 From: Subham-Kalwar Date: Fri, 27 Feb 2026 22:49:09 -0600 Subject: [PATCH 3/4] Solution to lab 5 --- .DS_Store | Bin 8196 -> 8196 bytes Labs/.DS_Store | Bin 10244 -> 10244 bytes Labs/Lab.5/Lab.5.ipynb | 429 ++++++++++++++++++++++++++++++++++++++++- 3 files changed, 426 insertions(+), 3 deletions(-) diff --git a/.DS_Store b/.DS_Store index a329cf562a6e93ba902b33647b1d7a75daadd887..ddf0417c31ffb1b5aee12fdd22ed963dd48208c9 100644 GIT binary patch delta 16 XcmZp1XmQwZKw$DwVfW4Kf`9n{I{*fe delta 25 gcmZp1XmQwZK!C&4%uq+c(9&Y^Sz-Il?1F#!0BfuWBLDyZ diff --git a/Labs/.DS_Store b/Labs/.DS_Store index 1df00a398015a3a3f519966ba6a5a080d3d82357..08a73716633baf8d931ce4a00d4b884caa729f3d 100644 GIT binary patch delta 106 zcmZn(XbG6$&nUDpU^hRb&}JTi`z)Io#WENthY8nhekEeg%+1Q+!;r|3#GuDuI$2-z zBBSZ#*CLYAW}Z3u$w@i+Nem1O0t^gHML=5bKNxH*e8;kxUEvqYW^u6~m_f#j0KWYq AZvX%Q delta 41 xcmZn(XbG6$&&aniU^hP_-)0_x`z)I;iJ38PEStzau_1IbyTUJ)%`e25nE^Aj4yynF diff --git a/Labs/Lab.5/Lab.5.ipynb b/Labs/Lab.5/Lab.5.ipynb index cba02709..e0dfc58d 100644 --- a/Labs/Lab.5/Lab.5.ipynb +++ b/Labs/Lab.5/Lab.5.ipynb @@ -20,7 +20,91 @@ " * Matrix instances `M` can be indexed with `M[i][j]` and `M[i,j]`.\n", " * Matrix assignment works in 2 ways:\n", " 1. If `M_1` and `M_2` are `matrix` instances `M_1=M_2` sets the values of `M_1` to those of `M_2`, if they are the same size. Error otherwise.\n", - " 2. In example above `M_2` can be a list of lists of correct size.\n" + " 2. In example above `M_2` can be a list of lists of correct size." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Q1 Tests ---\n", + "Q1 Initialization, Indexing, and Assignment tests passed!\n" + ] + } + ], + "source": [ + "class matrix:\n", + " def __init__(self, *args):\n", + " # I'm checking if the arguments are two integers (n, m) to create a zero matrix\n", + " if len(args) == 2 and isinstance(args[0], int) and isinstance(args[1], int):\n", + " self.n, self.m = args[0], args[1]\n", + " self.data = [[0 for _ in range(self.m)] for _ in range(self.n)]\n", + " \n", + " # Or if the argument is a list of lists, I need to copy it over\n", + " elif len(args) == 1 and isinstance(args[0], list):\n", + " input_list = args[0]\n", + " self.n = len(input_list)\n", + " self.m = len(input_list[0]) if self.n > 0 else 0\n", + " \n", + " # Making sure every row has the same number of columns to catch bad inputs\n", + " if not all(isinstance(row, list) and len(row) == self.m for row in input_list):\n", + " raise ValueError(\"All rows must have the same number of columns.\")\n", + " \n", + " self.data = [[val for val in row] for row in input_list]\n", + " else:\n", + " raise ValueError(\"Need either (n, m) or a list of lists.\")\n", + "\n", + " def __getitem__(self, index):\n", + " # Python passes M[i,j] as a tuple, so I unpack it\n", + " if isinstance(index, tuple):\n", + " i, j = index\n", + " return self.data[i][j]\n", + " # For M[i][j], the first brackets pass an int, returning the whole row\n", + " elif isinstance(index, int):\n", + " return self.data[index]\n", + " else:\n", + " raise TypeError(\"Index needs to be an int or tuple.\")\n", + "\n", + " def __setitem__(self, index, value):\n", + " # Allowing value assignment like M[0,1] = 5\n", + " if isinstance(index, tuple):\n", + " i, j = index\n", + " self.data[i][j] = value\n", + " elif isinstance(index, int):\n", + " self.data[index] = value\n", + "\n", + " def assign(self, other):\n", + " # The assignment operator '=' cannot be overloaded in Python. \n", + " # Writing M_1 = M_2 just creates a reference copy, it doesn't modify the object's values.\n", + " # So, I'm using an assign() method to handle the specific assignment logic requested.\n", + " if isinstance(other, matrix):\n", + " if self.n != other.n or self.m != other.m:\n", + " raise ValueError(\"Size mismatch.\")\n", + " self.data = [[val for val in row] for row in other.data]\n", + " elif isinstance(other, list):\n", + " if len(other) != self.n or not all(len(row) == self.m for row in other):\n", + " raise ValueError(\"Size mismatch.\")\n", + " self.data = [[val for val in row] for row in other]\n", + "\n", + " def __str__(self):\n", + " return '\\n'.join([str(row) for row in self.data])\n", + "\n", + "# --- EXPLICIT TESTS FOR Q1 ---\n", + "print(\"--- Q1 Tests ---\")\n", + "m1 = matrix(2, 3)\n", + "assert m1.data == [[0, 0, 0], [0, 0, 0]]\n", + "m2 = matrix([[1, 2], [3, 4]])\n", + "assert m2.data == [[1, 2], [3, 4]]\n", + "\n", + "m_target = matrix(2, 2)\n", + "m_target.assign(m2)\n", + "assert m_target.data == [[1, 2], [3, 4]]\n", + "print(\"Q1 Initialization, Indexing, and Assignment tests passed!\")" ] }, { @@ -37,6 +121,100 @@ " " ] }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Q2 Tests ---\n", + "Q2 Properties and Slicing tests passed!\n" + ] + } + ], + "source": [ + "class matrix:\n", + " # --- Q1 Methods ---\n", + " def __init__(self, *args):\n", + " if len(args) == 2 and isinstance(args[0], int) and isinstance(args[1], int):\n", + " self.n, self.m = args[0], args[1]\n", + " self.data = [[0 for _ in range(self.m)] for _ in range(self.n)]\n", + " elif len(args) == 1 and isinstance(args[0], list):\n", + " input_list = args[0]\n", + " self.n, self.m = len(input_list), (len(input_list[0]) if len(input_list) > 0 else 0)\n", + " if not all(isinstance(row, list) and len(row) == self.m for row in input_list):\n", + " raise ValueError(\"All rows must have the same number of columns.\")\n", + " self.data = [[val for val in row] for row in input_list]\n", + "\n", + " def __getitem__(self, index):\n", + " # Upgraded to handle slicing. If the index contains a 'slice' object (like 0:2),\n", + " # I use list comprehensions to grab those specific chunks.\n", + " if isinstance(index, tuple):\n", + " i, j = index\n", + " if isinstance(i, slice) or isinstance(j, slice):\n", + " if isinstance(i, int): i = slice(i, i+1)\n", + " if isinstance(j, int): j = slice(j, j+1)\n", + " return matrix([row[j] for row in self.data[i]])\n", + " return self.data[i][j]\n", + " elif isinstance(index, slice):\n", + " return matrix(self.data[index])\n", + " elif isinstance(index, int):\n", + " return self.data[index]\n", + "\n", + " def __setitem__(self, index, value):\n", + " if isinstance(index, tuple): i, j = index; self.data[i][j] = value\n", + " elif isinstance(index, int): self.data[index] = value\n", + "\n", + " def assign(self, other):\n", + " if isinstance(other, matrix):\n", + " if self.shape() != other.shape(): raise ValueError(\"Size mismatch.\")\n", + " self.data = [[val for val in row] for row in other.data]\n", + " elif isinstance(other, list):\n", + " self.data = [[val for val in row] for row in other]\n", + " \n", + " def __str__(self): return '\\n'.join([str(row) for row in self.data])\n", + "\n", + " # --- Q2 New Methods ---\n", + " def shape(self):\n", + " # Simply returns the dimensions stored during init\n", + " return (self.n, self.m)\n", + "\n", + " def transpose(self):\n", + " # Swapping rows and columns to create the transposed version\n", + " t_data = [[self.data[i][j] for i in range(self.n)] for j in range(self.m)]\n", + " return matrix(t_data)\n", + "\n", + " def row(self, n):\n", + " # Wrapping the row in an extra list bracket so it becomes a 1xm matrix\n", + " return matrix([self.data[n]])\n", + "\n", + " def column(self, n):\n", + " # Grabbing the nth element of every row to build an nx1 matrix\n", + " return matrix([[self.data[i][n]] for i in range(self.n)])\n", + "\n", + " def to_list(self):\n", + " # Using a list comprehension to return a clean copy, avoiding reference bugs\n", + " return [[val for val in row] for row in self.data]\n", + "\n", + " def block(self, n_0, n_1, m_0, m_1):\n", + " # Standard Python slicing: grab rows m_0 to m_1, then slice those rows from cols n_0 to n_1\n", + " return matrix([r[n_0:n_1] for r in self.data[m_0:m_1]])\n", + "\n", + "# --- EXPLICIT TESTS FOR Q2 ---\n", + "print(\"--- Q2 Tests ---\")\n", + "m_test = matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n", + "assert m_test.shape() == (3, 3)\n", + "assert m_test.transpose().data == [[1, 4, 7], [2, 5, 8], [3, 6, 9]]\n", + "assert m_test.row(1).data == [[4, 5, 6]]\n", + "assert m_test.column(2).data == [[3], [6], [9]]\n", + "assert m_test.to_list() == [[1, 2, 3], [4, 5, 6], [7, 8, 9]]\n", + "assert m_test.block(1, 3, 0, 2).data == [[2, 3], [5, 6]]\n", + "print(\"Q2 Properties and Slicing tests passed!\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -47,6 +225,49 @@ " * `eye(n)`: returns the n by n identity matrix." ] }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Q3 Tests ---\n", + "Q3 Special Matrices tests passed!\n" + ] + } + ], + "source": [ + "# --- Q3 Standalone Functions ---\n", + "\n", + "def constant(n, m, c):\n", + " # Creating an n by m matrix filled with the float version of c\n", + " val = float(c)\n", + " return matrix([[val for j in range(m)] for i in range(n)])\n", + "\n", + "def zeros(n, m):\n", + " # Reusing the constant function to avoid rewriting the same loops\n", + " return constant(n, m, 0.0)\n", + "\n", + "def ones(n, m):\n", + " # Same trick, reusing constant for 1.0\n", + " return constant(n, m, 1.0)\n", + "\n", + "def eye(n):\n", + " # Building the identity matrix: 1.0 on the diagonal (where i == j), 0.0 elsewhere\n", + " return matrix([[1.0 if i == j else 0.0 for j in range(n)] for i in range(n)])\n", + "\n", + "# --- EXPLICIT TESTS FOR Q3 ---\n", + "print(\"--- Q3 Tests ---\")\n", + "assert constant(2, 2, 5).data == [[5.0, 5.0], [5.0, 5.0]]\n", + "assert zeros(2, 3).data == [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]]\n", + "assert ones(2, 2).data == [[1.0, 1.0], [1.0, 1.0]]\n", + "assert eye(3).data == [[1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0]]\n", + "print(\"Q3 Special Matrices tests passed!\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -74,6 +295,142 @@ " * M=N\n" ] }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Q4 & Q5 Tests ---\n", + "Q4 Math Methods and Q5 Overloaded Operators tests passed!\n" + ] + } + ], + "source": [ + "class matrix:\n", + " # --- Q1 & Q2 Methods ---\n", + " def __init__(self, *args):\n", + " if len(args) == 2 and isinstance(args[0], int) and isinstance(args[1], int):\n", + " self.n, self.m = args[0], args[1]\n", + " self.data = [[0 for _ in range(self.m)] for _ in range(self.n)]\n", + " elif len(args) == 1 and isinstance(args[0], list):\n", + " input_list = args[0]\n", + " self.n, self.m = len(input_list), (len(input_list[0]) if len(input_list) > 0 else 0)\n", + " if not all(isinstance(row, list) and len(row) == self.m for row in input_list):\n", + " raise ValueError(\"All rows must have the same number of columns.\")\n", + " self.data = [[val for val in row] for row in input_list]\n", + "\n", + " def __getitem__(self, index):\n", + " if isinstance(index, tuple):\n", + " i, j = index\n", + " if isinstance(i, slice) or isinstance(j, slice):\n", + " if isinstance(i, int): i = slice(i, i+1)\n", + " if isinstance(j, int): j = slice(j, j+1)\n", + " return matrix([row[j] for row in self.data[i]])\n", + " return self.data[i][j]\n", + " elif isinstance(index, slice): return matrix(self.data[index])\n", + " elif isinstance(index, int): return self.data[index]\n", + "\n", + " def __setitem__(self, index, value):\n", + " if isinstance(index, tuple): i, j = index; self.data[i][j] = value\n", + " elif isinstance(index, int): self.data[index] = value\n", + "\n", + " def assign(self, other):\n", + " if isinstance(other, matrix):\n", + " if self.shape() != other.shape(): raise ValueError(\"Size mismatch.\")\n", + " self.data = [[val for val in row] for row in other.data]\n", + " elif isinstance(other, list):\n", + " self.data = [[val for val in row] for row in other]\n", + "\n", + " def shape(self): return (self.n, self.m)\n", + " def transpose(self): return matrix([[self.data[i][j] for i in range(self.n)] for j in range(self.m)])\n", + " def row(self, n): return matrix([self.data[n]])\n", + " def column(self, n): return matrix([[self.data[i][n]] for i in range(self.n)])\n", + " def to_list(self): return [[val for val in row] for row in self.data]\n", + " def block(self, n_0, n_1, m_0, m_1): return matrix([r[n_0:n_1] for r in self.data[m_0:m_1]])\n", + " def __str__(self): return '\\n'.join([str(row) for row in self.data])\n", + "\n", + " # --- Q4 Math Operations ---\n", + " def scalarmul(self, c):\n", + " return matrix([[val * c for val in row] for row in self.data])\n", + "\n", + " def add(self, N):\n", + " if self.shape() != N.shape(): raise ValueError(\"Addition error: Size mismatch.\")\n", + " return matrix([[self.data[i][j] + N.data[i][j] for j in range(self.m)] for i in range(self.n)])\n", + "\n", + " def sub(self, N):\n", + " if self.shape() != N.shape(): raise ValueError(\"Subtraction error: Size mismatch.\")\n", + " return matrix([[self.data[i][j] - N.data[i][j] for j in range(self.m)] for i in range(self.n)])\n", + "\n", + " def mat_mult(self, N):\n", + " if self.m != N.n: raise ValueError(\"Matrix multiplication error: M columns must equal N rows.\")\n", + " result_data = []\n", + " for i in range(self.n):\n", + " new_row = []\n", + " for j in range(N.m):\n", + " # taking the dot product of M's row and N's column\n", + " new_row.append(sum(self.data[i][k] * N.data[k][j] for k in range(self.m)))\n", + " result_data.append(new_row)\n", + " return matrix(result_data)\n", + "\n", + " def element_mult(self, N):\n", + " if self.shape() != N.shape(): raise ValueError(\"Element multiplication error: Size mismatch.\")\n", + " return matrix([[self.data[i][j] * N.data[i][j] for j in range(self.m)] for i in range(self.n)])\n", + "\n", + " def equals(self, N):\n", + " if not isinstance(N, matrix) or self.shape() != N.shape(): return False\n", + " return self.data == N.data\n", + "\n", + " # --- Q5 Operator Overloading ---\n", + " \n", + " # Python uses magic methods like __add__ to know what to do when you type '+'\n", + " def __add__(self, other):\n", + " return self.add(other)\n", + "\n", + " def __sub__(self, other):\n", + " return self.sub(other)\n", + "\n", + " def __mul__(self, other):\n", + " # I need to check if 'other' is a matrix or a scalar to decide which math rule to apply\n", + " if isinstance(other, matrix):\n", + " return self.mat_mult(other)\n", + " elif isinstance(other, (int, float)):\n", + " return self.scalarmul(other)\n", + "\n", + " def __rmul__(self, other):\n", + " # This handles the case where the scalar comes first, like 2 * M\n", + " return self.scalarmul(other)\n", + "\n", + " def __eq__(self, other):\n", + " # Overloads the '==' operator\n", + " return self.equals(other)\n", + " \n", + " # Note on M=N from Q5 requirements: Python physically cannot overload the '=' operator. \n", + " # So Using the assign() method implemented in Q1 to assign values without creating a reference copy.\n", + "\n", + "# --- EXPLICIT TESTS FOR Q4 & Q5 ---\n", + "print(\"--- Q4 & Q5 Tests ---\")\n", + "M1 = matrix([[1, 2], [3, 4]])\n", + "M2 = matrix([[5, 6], [7, 8]])\n", + "\n", + "# Testing Q4 explicit methods\n", + "assert M1.scalarmul(3).data == [[3, 6], [9, 12]]\n", + "assert M1.mat_mult(M2).data == [[19, 22], [43, 50]]\n", + "\n", + "# Testing Q5 overloaded operators\n", + "assert (M1 + M2).data == [[6, 8], [10, 12]]\n", + "assert (M1 - M2).data == [[-4, -4], [-4, -4]]\n", + "assert (M1 * M2).data == [[19, 22], [43, 50]]\n", + "assert (M1 * 2).data == [[2, 4], [6, 8]]\n", + "assert (2 * M1).data == [[2, 4], [6, 8]]\n", + "assert (M1 == matrix([[1, 2], [3, 4]])) == True\n", + "\n", + "print(\"Q4 Math Methods and Q5 Overloaded Operators tests passed!\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -94,6 +451,72 @@ "$$" ] }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Q6 Mathematical Demonstrations ---\n", + "\n", + "1. Demonstrating (AB)C = A(BC)\n", + "Is it true? True\n", + "\n", + "2. Demonstrating A(B+C) = AB + AC\n", + "Is it true? True\n", + "\n", + "3. Demonstrating AB != BA\n", + "Is it true? True\n", + "\n", + "4. Demonstrating AI = A\n", + "Is it true? True\n", + "\n", + "All Q6 linear algebra properties successfully demonstrated!\n" + ] + } + ], + "source": [ + "# Create test matrices\n", + "A = matrix([[1, 2], [3, 4]])\n", + "B = matrix([[5, 6], [7, 8]])\n", + "C = matrix([[9, 10], [11, 12]])\n", + "I = eye(2) \n", + "\n", + "print(\"--- Q6 Mathematical Demonstrations ---\\n\")\n", + "\n", + "# 1. Associativity: (AB)C = A(BC)\n", + "left_side = (A * B) * C\n", + "right_side = A * (B * C)\n", + "print(\"1. Demonstrating (AB)C = A(BC)\")\n", + "print(f\"Is it true? {left_side == right_side}\\n\")\n", + "assert left_side == right_side\n", + "\n", + "# 2. Distributivity: A(B+C) = AB + AC\n", + "left_side = A * (B + C)\n", + "right_side = (A * B) + (A * C)\n", + "print(\"2. Demonstrating A(B+C) = AB + AC\")\n", + "print(f\"Is it true? {left_side == right_side}\\n\")\n", + "assert left_side == right_side\n", + "\n", + "# 3. Non-commutativity: AB != BA\n", + "AB = A * B\n", + "BA = B * A\n", + "print(\"3. Demonstrating AB != BA\")\n", + "print(f\"Is it true? {not (AB == BA)}\\n\")\n", + "assert not (AB == BA)\n", + "\n", + "# 4. Identity: AI = A\n", + "AI = A * I\n", + "print(\"4. Demonstrating AI = A\")\n", + "print(f\"Is it true? {AI == A}\\n\")\n", + "assert AI == A\n", + "\n", + "print(\"All Q6 linear algebra properties successfully demonstrated!\")" + ] + }, { "cell_type": "code", "execution_count": null, @@ -104,7 +527,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "base", "language": "python", "name": "python3" }, @@ -118,7 +541,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.12" + "version": "3.12.12" } }, "nbformat": 4, From 364728ddbd81bdfd555f0ddee352ea3799fec587 Mon Sep 17 00:00:00 2001 From: Subham-Kalwar Date: Fri, 27 Mar 2026 23:27:15 -0500 Subject: [PATCH 4/4] Completed Lab 7a (clean submission without datasets) --- .DS_Store | Bin 8196 -> 8196 bytes .gitignore | 1 + Labs/.DS_Store | Bin 10244 -> 12292 bytes Labs/Lab.6/.DS_Store | Bin 0 -> 6148 bytes Labs/Lab.6/Lab.6.ipynb | 1145 ++++++++++- Labs/Lab.6/lab-6-uml.pdf | Bin 0 -> 510224 bytes Labs/Lab.7/.DS_Store | Bin 0 -> 6148 bytes Labs/Lab.7/Lab.7.ipynb | 962 ++++++---- Lectures/Lecture.16/Lecture.16.ipynb | 2639 -------------------------- Lectures/Lecture.16/Lecture.16.pdf | Bin 4402451 -> 0 bytes 10 files changed, 1746 insertions(+), 3001 deletions(-) create mode 100644 .gitignore create mode 100644 Labs/Lab.6/.DS_Store create mode 100644 Labs/Lab.6/lab-6-uml.pdf create mode 100644 Labs/Lab.7/.DS_Store delete mode 100644 Lectures/Lecture.16/Lecture.16.ipynb delete mode 100644 Lectures/Lecture.16/Lecture.16.pdf diff --git a/.DS_Store b/.DS_Store index ddf0417c31ffb1b5aee12fdd22ed963dd48208c9..007b67b105f8792d3a164434a3325381a27fe29b 100644 GIT binary patch delta 31 ecmZp1XmQx^N{o#uih+SaZ}SJSU+f6B2qOTTlL+Ae delta 31 ecmZp1XmQx^N{o%ciGhJ(-sTTtzt|CM5k>%`&k2nH diff --git a/.gitignore b/.gitignore new file mode 100644 index 00000000..afed0735 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +*.csv diff --git a/Labs/.DS_Store b/Labs/.DS_Store index 08a73716633baf8d931ce4a00d4b884caa729f3d..b6430a22f3cb60653f974d12eac1657bb57b2758 100644 GIT binary patch delta 510 zcmZWmO-lk%6unm`(^49hv@s(~q3<%NW>;E7L>tRZP*9DDPK=IYWzecc`=|$fEDE9@ z5H`OcT31Ayh@eFgt*lMEpzdHq(1XK0?{YZj-FG)*oAUtxz~R-!UVv7jR)SG^JAlas z5UAb`v^1Cv5y3|w&I3r$4SjN=kdu_6c7iM%;wlUUr{8;D(Ta!r@20sF^vv z(#l!U!On#Niz!38o*i#3bNO!dlJf=Gv#-qpBh)^mHV!bqbA#=ACyAAu{U)EEHP$`U z&+#?OX?1Npp=M+GWI;}@P0PgN@_Lf_-D6d@U?fHsbXdmSgaX@gdvS>!3ti-MEeN&Z zxS}Q`MU_ZGBfuHq$OsgF14Rn#GrQ`IM33u#B8%2tcxF<0c`=?_NXXe#aOj;}=-61d zdvGKenJ8cBBRe1pahL@SHee4<;1tf`3ZCEtzR-alY{m}k#C{Ypf>E5p8Jx$3@`D{> zA)e1FYBoh~Sky`uwCi^Ms*>%y+Wpk4D5tbmQyu-gt)lj3W;LOxF`uzA?x$K=I&`3a NI`2@w@z~Jt`37*vb}9e> delta 192 zcmZokXbF&DU|?W$DortDU{C-uIe-{M3-C-V6q~3gIoUvmMH0wo5CURGpg04AF@p(% z0fP}kJcG|>Mafre6B~AJX6InxU=-TSqi~LW@&iTQ&9Y3l87FfI^Guc$&}3q8nrtT~ zIXPC~@?>#g4IZW_IOqOMm1pr~}Dn$SQ diff --git a/Labs/Lab.6/.DS_Store b/Labs/Lab.6/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..36125665bc7a11b23a74826a77b230d159310f11 GIT binary patch literal 6148 zcmeHLyH3ME5S)b+ks_p&l=lH(iH7{}AsLb;1)V#-if@D22gt_IQoydX zJ9m3KzGMpTodL*dzc~Yz0OoW>yl9x3uB%V%ATo+#&p5{^_IN~xW>WoqLb*q*zeP*# zkiWwQ_m|!FuI;uhtMn(n(of#ZI06>9GG;?&g9q&Jj3=~TSSwaG1C~)UqynixDv%1K z0{>J2_H4EJ!ZBkikP4&%p9<*vq0kj;VDD(J4hB8G>-tPljbpn@5KGK!VDHEknmCo{ zREaBwIGy=8k=n%k(w&LSKUC}Y?YGChZbmomt%!7dH Kl9memh63->hbXxK literal 0 HcmV?d00001 diff --git a/Labs/Lab.6/Lab.6.ipynb b/Labs/Lab.6/Lab.6.ipynb index 3bc4e512..3cc6d7a7 100755 --- a/Labs/Lab.6/Lab.6.ipynb +++ b/Labs/Lab.6/Lab.6.ipynb @@ -29,6 +29,66 @@ "1. Begin by creating a classes to represent cards and decks. The deck should support more than one 52-card set. The deck should allow you to shuffle and draw cards. Include a \"plastic\" card, placed randomly in the deck. Later, when the plastic card is dealt, shuffle the cards before the next deal." ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "class Player:\n", + " def __init__(self, name, starting_chips=1000):\n", + " self.name = name\n", + " self.chips = starting_chips\n", + " self.hand = []\n", + " \n", + " # Storing the bet on the player object so we can easily calculate \n", + " # payouts or losses at the end of the round.\n", + " self.current_bet = 0 \n", + " \n", + " def receive_card(self, card):\n", + " self.hand.append(card)\n", + "\n", + " def calculate_score(self):\n", + " \"\"\"Calculates the best possible hand value.\"\"\"\n", + " score = 0\n", + " aces = 0\n", + " \n", + " # Logic: It's easier to assume all Aces are 11s initially. \n", + " # We can just downgrade them to 1s later if the total goes over 21.\n", + " for card in self.hand:\n", + " if card.rank in ['J', 'Q', 'K']:\n", + " score += 10\n", + " elif card.rank == 'A':\n", + " aces += 1\n", + " score += 11\n", + " else:\n", + " score += int(card.rank)\n", + " \n", + " # If we bust, check if we have an Ace we can shrink from 11 to 1.\n", + " # We subtract 10 for each Ace we convert until we are safe.\n", + " while score > 21 and aces > 0:\n", + " score -= 10\n", + " aces -= 1\n", + " \n", + " return score\n", + " \n", + " def clear_hand(self):\n", + " # Resetting for the next simulation round\n", + " self.hand = []\n", + " self.current_bet = 0\n", + "\n", + "\n", + "class Dealer(Player):\n", + " # The dealer is just a player with forced actions, so inheritance makes sense here.\n", + " def __init__(self):\n", + " super().__init__(\"Dealer\", starting_chips=0) # Dealer chips don't matter\n", + "\n", + " def should_hit(self):\n", + " # Assignment requirement: Dealer hits on 16 and stands on 17.\n", + " # Returning True means \"Hit\", False means \"Stand\".\n", + " return self.calculate_score() < 17" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -43,6 +103,153 @@ "3. Begin with implementing the skeleton (ie define data members and methods/functions, but do not code the logic) of the classes in your UML diagram." ] }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "class Card:\n", + " \"\"\"Represents a single playing card.\"\"\"\n", + " def __init__(self, rank, suit):\n", + " # Storing basic card properties. \n", + " self.rank = rank\n", + " self.suit = suit\n", + "\n", + " def __str__(self):\n", + " pass\n", + "\n", + " def __repr__(self):\n", + " pass\n", + "\n", + "\n", + "class Deck:\n", + " \"\"\"Manages the shoe of multiple decks.\"\"\"\n", + " def __init__(self, num_decks=6):\n", + " self.num_decks = num_decks\n", + " # Using a list to hold Card objects so we maintain drawing order\n", + " self.cards = [] \n", + " # Flag to tell the Game loop when the plastic card was hit\n", + " self.needs_reshuffle = False \n", + "\n", + " def build_deck(self):\n", + " pass\n", + "\n", + " def shuffle(self):\n", + " pass\n", + "\n", + " def draw(self):\n", + " pass\n", + "\n", + "\n", + "class Player:\n", + " def __init__(self, name, strategy=\"Human\", starting_chips=1000):\n", + " self.name = name\n", + " self.chips = starting_chips\n", + " self.current_bet = 0\n", + " self.hand = []\n", + " self.strategy = strategy \n", + "\n", + " def receive_card(self, card):\n", + " self.hand.append(card)\n", + "\n", + " def calculate_score(self):\n", + " score = 0\n", + " aces = 0\n", + " \n", + " for card in self.hand:\n", + " if card.rank in ['J', 'Q', 'K']:\n", + " score += 10\n", + " elif card.rank == 'A':\n", + " aces += 1\n", + " score += 11\n", + " else:\n", + " score += int(card.rank)\n", + " \n", + " while score > 21 and aces > 0:\n", + " score -= 10\n", + " aces -= 1\n", + " \n", + " return score\n", + "\n", + " def clear_hand(self):\n", + " self.hand = []\n", + " self.current_bet = 0\n", + "\n", + " def place_bet(self):\n", + " \"\"\"Routes betting logic based on player strategy.\"\"\"\n", + " if self.strategy == \"Human\":\n", + " while True:\n", + " try:\n", + " bet = int(input(f\"{self.name}, you have {self.chips} chips. Enter bet: \"))\n", + " if 0 < bet <= self.chips:\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + " break\n", + " else:\n", + " print(\"Invalid amount. Must be greater than 0.\")\n", + " except ValueError:\n", + " print(\"Please enter a valid number.\")\n", + " else:\n", + " # Automated bot logic: Always bet 10 chips to keep the simulation simple\n", + " if self.chips > 0:\n", + " bet = 10 if self.chips >= 10 else self.chips\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + "\n", + " def decide_action(self, dealer_upcard, true_count):\n", + " \"\"\"Routes hitting/standing logic based on player strategy.\"\"\"\n", + " if self.strategy == \"Human\":\n", + " while True:\n", + " choice = input(f\"Your score is {self.calculate_score()}. Hit or Stand? (h/s): \").lower()\n", + " if choice in ['h', 's']:\n", + " return \"Hit\" if choice == 'h' else \"Stand\"\n", + " print(\"Invalid input. Please type 'h' or 's'.\")\n", + " \n", + " elif self.strategy == \"Dealer\":\n", + " # Dealer bots ignore the true_count and just hit if under 17\n", + " if self.calculate_score() < 17:\n", + " return \"Hit\"\n", + " return \"Stand\"\n", + "\n", + "\n", + "class Dealer(Player):\n", + " \"\"\"The dealer is a specific type of player with fixed rules.\"\"\"\n", + " def __init__(self):\n", + " # Calling the parent Player __init__, but hardcoding the name and strategy.\n", + " # Dealers don't need chips, so we set it to 0.\n", + " super().__init__(name=\"Dealer\", strategy=\"Fixed Rules\", starting_chips=0)\n", + "\n", + " def should_hit(self):\n", + " # This will override normal player logic since the dealer must hit on 16.\n", + " pass\n", + "\n", + "\n", + "class Game:\n", + " \"\"\"The central controller that runs the simulation.\"\"\"\n", + " def __init__(self, num_players=1, decks_in_shoe=6):\n", + " # Aggregating our other classes here to build the actual table environment\n", + " self.deck = Deck(num_decks=decks_in_shoe)\n", + " self.dealer = Dealer()\n", + " self.players = []\n", + " \n", + " # Tracking the global card counting state\n", + " self.running_count = 0\n", + " self.true_count = 0.0\n", + "\n", + " def update_count(self, card):\n", + " # This will adjust the running_count based on the drawn card's value\n", + " pass\n", + "\n", + " def play_round(self):\n", + " # This will handle the sequence: bets -> deal -> player turns -> dealer turn -> payouts\n", + " pass\n", + "\n", + " def run_simulation(self, num_games):\n", + " # The main loop to run play_round() thousands of times for our data analysis\n", + " pass" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -50,6 +257,225 @@ "4. Complete the implementation by coding the logic of all functions. For now, just implement the dealer player and human player." ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "\n", + "class Card:\n", + " def __init__(self, rank, suit):\n", + " self.rank = rank\n", + " self.suit = suit\n", + " def __str__(self): return f\"{self.rank} of {self.suit}\"\n", + " def __repr__(self): return self.__str__()\n", + "\n", + "class Deck:\n", + " suits = ['Hearts', 'Diamonds', 'Clubs', 'Spades']\n", + " ranks = ['2', '3', '4', '5', '6', '7', '8', '9', '10', 'J', 'Q', 'K', 'A']\n", + "\n", + " def __init__(self, num_decks=6):\n", + " self.num_decks = num_decks\n", + " self.cards = []\n", + " self.needs_reshuffle = False\n", + " self.build_deck()\n", + " self.shuffle()\n", + "\n", + " def build_deck(self):\n", + " self.cards = [Card(rank, suit) for _ in range(self.num_decks) for suit in self.suits for rank in self.ranks]\n", + "\n", + " def shuffle(self):\n", + " random.shuffle(self.cards)\n", + " self.needs_reshuffle = False\n", + " total_cards = len(self.cards)\n", + " insert_idx = random.randint(total_cards // 2, int(total_cards * 0.85))\n", + " self.cards.insert(insert_idx, \"PLASTIC_CARD\")\n", + "\n", + " def draw(self):\n", + " if not self.cards:\n", + " self.build_deck()\n", + " self.shuffle()\n", + " drawn_item = self.cards.pop(0)\n", + " if drawn_item == \"PLASTIC_CARD\":\n", + " self.needs_reshuffle = True\n", + " return self.draw()\n", + " return drawn_item\n", + "\n", + "class Player:\n", + " def __init__(self, name, strategy=\"Human\", starting_chips=1000):\n", + " self.name = name\n", + " self.chips = starting_chips\n", + " self.current_bet = 0\n", + " self.hand = []\n", + " self.strategy = strategy \n", + "\n", + " def receive_card(self, card):\n", + " self.hand.append(card)\n", + "\n", + " def calculate_score(self):\n", + " score = 0\n", + " aces = 0\n", + " for card in self.hand:\n", + " if card.rank in ['J', 'Q', 'K']: score += 10\n", + " elif card.rank == 'A':\n", + " aces += 1\n", + " score += 11\n", + " else: score += int(card.rank)\n", + " \n", + " while score > 21 and aces > 0:\n", + " score -= 10\n", + " aces -= 1\n", + " return score\n", + "\n", + " def clear_hand(self):\n", + " self.hand = []\n", + " self.current_bet = 0\n", + "\n", + " def place_bet(self, true_count=0.0):\n", + " if self.chips <= 0:\n", + " self.current_bet = 0\n", + " return \n", + "\n", + " if self.strategy == \"Human\":\n", + " while True:\n", + " try:\n", + " bet = int(input(f\"{self.name}, you have {self.chips} chips. Enter bet: \"))\n", + " if 0 < bet <= self.chips:\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + " break\n", + " else: print(\"Invalid amount.\")\n", + " except ValueError: print(\"Please enter a valid number.\")\n", + " elif self.strategy == \"Counter\":\n", + " if true_count >= 2.0: bet = 50 if self.chips >= 50 else self.chips\n", + " else: bet = 10 if self.chips >= 10 else self.chips\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + " else:\n", + " bet = 10 if self.chips >= 10 else self.chips\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + "\n", + " # CRITICAL FIX: The base player now officially accepts running_count\n", + " def decide_action(self, dealer_upcard, true_count, running_count=0):\n", + " if self.strategy == \"Human\":\n", + " while True:\n", + " choice = input(f\"Your score is {self.calculate_score()}. Hit or Stand? (h/s): \").lower()\n", + " if choice in ['h', 's']: return \"Hit\" if choice == 'h' else \"Stand\"\n", + " print(\"Invalid input.\")\n", + " elif self.strategy == \"Dealer\":\n", + " if self.calculate_score() < 17: return \"Hit\"\n", + " return \"Stand\"\n", + " elif self.strategy == \"Counter\":\n", + " dealer_val = 10 if dealer_upcard.rank in ['J', 'Q', 'K', 'A'] else int(dealer_upcard.rank)\n", + " score = self.calculate_score()\n", + " if score >= 17: return \"Stand\"\n", + " elif score >= 12 and dealer_val <= 6: return \"Stand\"\n", + " else: return \"Hit\"\n", + "\n", + "class Dealer(Player):\n", + " def __init__(self):\n", + " super().__init__(name=\"Dealer\", strategy=\"Fixed Rules\", starting_chips=0)\n", + " def should_hit(self):\n", + " return self.calculate_score() < 17\n", + "\n", + "class Lab6Player(Player):\n", + " def __init__(self, name, starting_chips=1000, hit_threshold=-1):\n", + " super().__init__(name=name, strategy=\"Count_Action\", starting_chips=starting_chips)\n", + " self.hit_threshold = hit_threshold\n", + "\n", + " def decide_action(self, dealer_upcard, true_count, running_count=0):\n", + " if self.calculate_score() >= 21: return \"Stand\"\n", + " if running_count <= self.hit_threshold: return \"Hit\"\n", + " else: return \"Stand\"\n", + "\n", + "class Game:\n", + " def __init__(self, players_list, decks_in_shoe=6, verbose=True):\n", + " self.deck = Deck(num_decks=decks_in_shoe)\n", + " self.dealer = Dealer()\n", + " self.players = players_list \n", + " self.running_count = 0\n", + " self.true_count = 0.0\n", + " self.verbose = verbose \n", + "\n", + " def update_count(self, card):\n", + " if card.rank in ['2', '3', '4', '5', '6']: self.running_count += 1\n", + " elif card.rank in ['10', 'J', 'Q', 'K', 'A']: self.running_count -= 1\n", + " decks_remaining = max(1, len(self.deck.cards) / 52)\n", + " self.true_count = self.running_count / decks_remaining\n", + "\n", + " def deal_and_count(self, person):\n", + " card = self.deck.draw()\n", + " self.update_count(card)\n", + " person.receive_card(card)\n", + "\n", + " def play_round(self):\n", + " if self.verbose: print(\"\\n--- NEW ROUND ---\")\n", + " if self.deck.needs_reshuffle:\n", + " if self.verbose: print(\"Dealer is shuffling the shoe...\")\n", + " self.deck.build_deck()\n", + " self.deck.shuffle()\n", + " self.running_count = 0 \n", + " self.true_count = 0.0\n", + "\n", + " for player in self.players: \n", + " if player.chips > 0: player.place_bet(self.true_count)\n", + "\n", + " for _ in range(2):\n", + " for player in self.players: \n", + " if player.current_bet > 0: self.deal_and_count(player)\n", + " self.deal_and_count(self.dealer)\n", + "\n", + " if self.verbose: print(f\"Dealer shows: {self.dealer.hand[0]} (Hidden Card)\")\n", + "\n", + " for player in self.players:\n", + " if player.current_bet == 0: continue\n", + " if self.verbose: print(f\"\\n{player.name}'s turn. Hand: {player.hand}\")\n", + " while player.calculate_score() < 21:\n", + " action = player.decide_action(self.dealer.hand[0], self.true_count, self.running_count)\n", + " if action == \"Hit\":\n", + " self.deal_and_count(player)\n", + " if self.verbose: print(f\"Drew a card. Hand: {player.hand}\")\n", + " else: break\n", + " if player.calculate_score() > 21 and self.verbose: print(f\"{player.name} BUSTS!\")\n", + "\n", + " if self.verbose: print(f\"\\nDealer's turn. Hand reveals: {self.dealer.hand}\")\n", + " while self.dealer.should_hit():\n", + " self.deal_and_count(self.dealer)\n", + " if self.verbose: print(f\"Dealer hits. Hand: {self.dealer.hand}\")\n", + "\n", + " dealer_score = self.dealer.calculate_score()\n", + "\n", + " for player in self.players:\n", + " if player.current_bet == 0: continue\n", + " player_score = player.calculate_score()\n", + " if player_score <= 21:\n", + " if dealer_score > 21 or player_score > dealer_score:\n", + " player.chips += (player.current_bet * 2)\n", + " if self.verbose: print(f\"{player.name} WINS!\")\n", + " elif player_score == dealer_score:\n", + " player.chips += player.current_bet\n", + " if self.verbose: print(f\"{player.name} PUSHES.\")\n", + " else: \n", + " if self.verbose: print(f\"{player.name} LOSES.\")\n", + " else:\n", + " if self.verbose: print(f\"{player.name} LOSES.\")\n", + " player.clear_hand()\n", + " \n", + " self.dealer.clear_hand()\n", + "\n", + " def run_simulation(self, num_games=1, target_player_name=None):\n", + " for i in range(1, num_games + 1):\n", + " if target_player_name:\n", + " target_player = next((p for p in self.players if p.name == target_player_name), None)\n", + " if target_player and target_player.chips <= 0:\n", + " print(f\"Simulation stopped early at round {i}: {target_player.name} is out of money!\")\n", + " break\n", + " self.play_round()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -57,6 +483,128 @@ "5. Test. Demonstrate game play. For example, create a game of several dealer players and show that the game is functional through several rounds." ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def place_bet(self):\n", + " \"\"\"Handles betting for both humans and computer players.\"\"\"\n", + " if self.strategy == \"Human\":\n", + " # ... (Keep your existing human input loop here) ...\n", + " pass\n", + " else:\n", + " # Logic: Automated testing. Computer players bet a flat 10 chips \n", + " # so we can easily track their win/loss rate over time.\n", + " if self.chips > 0:\n", + " bet = 10 if self.chips >= 10 else self.chips\n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + "\n", + "def decide_action(self, dealer_upcard, true_count, running_count=0):\n", + " \"\"\"Routes the decision based on the player's assigned strategy.\"\"\"\n", + " if self.strategy == \"Human\":\n", + " # ... (Keep your existing human input loop here) ...\n", + " pass\n", + " elif self.strategy == \"Dealer\":\n", + " # Logic: These players mimic the dealer. They ignore the true_count \n", + " # and dealer_upcard, and simply hit if they are under 17.\n", + " if self.calculate_score() < 17:\n", + " return \"Hit\"\n", + " return \"Stand\"\n", + " \n", + "def __init__(self, players_list, decks_in_shoe=6):\n", + " self.deck = Deck(num_decks=decks_in_shoe)\n", + " self.dealer = Dealer()\n", + " \n", + " # Logic: Instead of hardcoding one human, we pass a list of Player objects\n", + " # so we can test different table compositions (e.g., 3 bots, 1 human).\n", + " self.players = players_list \n", + " \n", + " self.running_count = 0\n", + " self.true_count = 0.0" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting automated test for 3 rounds...\n", + "\n", + "\n", + "--- NEW ROUND ---\n", + "Dealer shows: 4 of Diamonds (Hidden Card)\n", + "\n", + "Bot Alice's turn. Hand: [4 of Clubs, J of Spades]\n", + "\n", + "Bot Bob's turn. Hand: [4 of Diamonds, 2 of Spades]\n", + "\n", + "Bot Charlie's turn. Hand: [9 of Diamonds, 6 of Spades]\n", + "\n", + "Dealer's turn. Hand reveals: [4 of Diamonds, 4 of Clubs]\n", + "Dealer hits. Hand: [4 of Diamonds, 4 of Clubs, 2 of Diamonds]\n", + "Dealer hits. Hand: [4 of Diamonds, 4 of Clubs, 2 of Diamonds, 5 of Clubs]\n", + "Dealer hits. Hand: [4 of Diamonds, 4 of Clubs, 2 of Diamonds, 5 of Clubs, J of Hearts]\n", + "\n", + "--- NEW ROUND ---\n", + "Dealer shows: A of Hearts (Hidden Card)\n", + "\n", + "Bot Alice's turn. Hand: [6 of Clubs, 9 of Spades]\n", + "\n", + "Bot Bob's turn. Hand: [K of Spades, 6 of Hearts]\n", + "\n", + "Bot Charlie's turn. Hand: [2 of Diamonds, 6 of Diamonds]\n", + "\n", + "Dealer's turn. Hand reveals: [A of Hearts, A of Clubs]\n", + "Dealer hits. Hand: [A of Hearts, A of Clubs, Q of Hearts]\n", + "Dealer hits. Hand: [A of Hearts, A of Clubs, Q of Hearts, 7 of Spades]\n", + "\n", + "--- NEW ROUND ---\n", + "Dealer shows: 6 of Clubs (Hidden Card)\n", + "\n", + "Bot Alice's turn. Hand: [A of Spades, Q of Hearts]\n", + "\n", + "Bot Bob's turn. Hand: [9 of Clubs, 6 of Diamonds]\n", + "\n", + "Bot Charlie's turn. Hand: [9 of Spades, K of Clubs]\n", + "\n", + "Dealer's turn. Hand reveals: [6 of Clubs, 2 of Spades]\n", + "Dealer hits. Hand: [6 of Clubs, 2 of Spades, Q of Clubs]\n", + "\n", + "--- FINAL CHIP COUNTS ---\n", + "Bot Alice: 1800 chips\n", + "Bot Bob: 0 chips\n", + "Bot Charlie: 1800 chips\n" + ] + } + ], + "source": [ + "# --- SIMULATION TEST ---\n", + "\n", + "# 1. Create our automated players\n", + "bot_1 = Player(name=\"Bot Alice\", strategy=\"Dealer\", starting_chips=1000)\n", + "bot_2 = Player(name=\"Bot Bob\", strategy=\"Dealer\", starting_chips=1000)\n", + "bot_3 = Player(name=\"Bot Charlie\", strategy=\"Dealer\", starting_chips=1000)\n", + "\n", + "# 2. Initialize the game with these players\n", + "test_table = Game(players_list=[bot_1, bot_2, bot_3], decks_in_shoe=6)\n", + "\n", + "# 3. Run a short simulation to prove it works\n", + "print(\"Starting automated test for 3 rounds...\\n\")\n", + "test_table.run_simulation(num_games=3)\n", + "\n", + "# 4. Print final results to verify chips updated correctly\n", + "print(\"\\n--- FINAL CHIP COUNTS ---\")\n", + "for p in test_table.players:\n", + " print(f\"{p.name}: {p.chips} chips\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -71,6 +619,66 @@ " * Hit if sum is very negative, stay if sum is very positive. Select a threshold for hit/stay, e.g. 0 or -2. " ] }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "class Lab6Player(Player):\n", + " def __init__(self, name, starting_chips=1000, hit_threshold=-1):\n", + " # Call the parent __init__ to set up the hand, chips, etc.\n", + " super().__init__(name=name, strategy=\"Count_Action\", starting_chips=starting_chips)\n", + " \n", + " # Storing the threshold so we can easily test different values later (like 0 or -2)\n", + " self.hit_threshold = hit_threshold\n", + "\n", + " def decide_action(self, dealer_upcard, true_count, running_count=0):\n", + " \"\"\"\n", + " LAB 6 STRATEGY: \n", + " Ignore the dealer's card and our own hand score (mostly).\n", + " Hit if the sum is very negative, stay if very positive.\n", + " \"\"\"\n", + " # Absolute safeguard: It is mathematically useless to hit on a 21 or higher.\n", + " if self.calculate_score() >= 21:\n", + " return \"Stand\"\n", + " \n", + " # The core Lab 6 logic: Compare the running count sum to our threshold\n", + " if running_count <= self.hit_threshold:\n", + " return \"Hit\"\n", + " else:\n", + " return \"Stand\"" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--- NEW ROUND ---\n", + "Dealer shows: 10 of Diamonds (Hidden Card)\n", + "\n", + "Q6 Bot's turn. Hand: [J of Spades, 6 of Diamonds]\n", + "Drew a card. Hand: [J of Spades, 6 of Diamonds, 3 of Hearts]\n", + "\n", + "Dealer's turn. Hand reveals: [10 of Diamonds, Q of Clubs]\n", + "Q6 Bot LOSES.\n" + ] + } + ], + "source": [ + "count_bot = Lab6Player(name=\"Q6 Bot\", hit_threshold=-2)\n", + "\n", + "# Load it into a game and play just ONE round to see the prints\n", + "q6_table = Game(players_list=[count_bot], decks_in_shoe=6)\n", + "q6_table.run_simulation(num_games=1)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -78,6 +686,159 @@ "7. Create a test scenario where one player, using the above strategy, is playing with a dealer and 3 other players that follow the dealer's strategy. Each player starts with same number of chips. Play 50 rounds (or until the strategy player is out of money). Compute the strategy player's winnings. You may remove unnecessary printouts from your code (perhaps implement a verbose/quiet mode) to reduce the output." ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "class Game:\n", + " # 1. Added the verbose parameter here\n", + " def __init__(self, players_list, decks_in_shoe=6, verbose=True):\n", + " self.deck = Deck(num_decks=decks_in_shoe)\n", + " self.dealer = Dealer()\n", + " self.players = players_list \n", + " self.running_count = 0\n", + " self.true_count = 0.0\n", + " self.verbose = verbose \n", + "\n", + " def update_count(self, card):\n", + " if card.rank in ['2', '3', '4', '5', '6']: self.running_count += 1\n", + " elif card.rank in ['10', 'J', 'Q', 'K', 'A']: self.running_count -= 1\n", + " decks_remaining = max(1, len(self.deck.cards) / 52)\n", + " self.true_count = self.running_count / decks_remaining\n", + "\n", + " def deal_and_count(self, person):\n", + " card = self.deck.draw()\n", + " self.update_count(card)\n", + " person.receive_card(card)\n", + "\n", + " def play_round(self):\n", + " # 2. Wrapped print statements in \"if self.verbose:\" checks\n", + " if self.verbose: print(\"\\n--- NEW ROUND ---\")\n", + " \n", + " if self.deck.needs_reshuffle:\n", + " if self.verbose: print(\"Dealer is shuffling the shoe...\")\n", + " self.deck.build_deck()\n", + " self.deck.shuffle()\n", + " self.running_count = 0 \n", + " self.true_count = 0.0\n", + "\n", + " for player in self.players: \n", + " player.place_bet(self.true_count)\n", + "\n", + " for _ in range(2):\n", + " for player in self.players: self.deal_and_count(player)\n", + " self.deal_and_count(self.dealer)\n", + "\n", + " if self.verbose: print(f\"Dealer shows: {self.dealer.hand[0]} (Hidden Card)\")\n", + "\n", + " for player in self.players:\n", + " if self.verbose: print(f\"\\n{player.name}'s turn. Hand: {player.hand}\")\n", + " while player.calculate_score() < 21:\n", + " action = player.decide_action(self.dealer.hand[0], self.true_count, self.running_count)\n", + " if action == \"Hit\":\n", + " self.deal_and_count(player)\n", + " if self.verbose: print(f\"Drew a card. Hand: {player.hand}\")\n", + " else: break\n", + " if player.calculate_score() > 21:\n", + " if self.verbose: print(f\"{player.name} BUSTS!\")\n", + "\n", + " if self.verbose: print(f\"\\nDealer's turn. Hand reveals: {self.dealer.hand}\")\n", + " while self.dealer.should_hit():\n", + " self.deal_and_count(self.dealer)\n", + " if self.verbose: print(f\"Dealer hits. Hand: {self.dealer.hand}\")\n", + "\n", + " dealer_score = self.dealer.calculate_score()\n", + "\n", + " for player in self.players:\n", + " player_score = player.calculate_score()\n", + " if player_score <= 21:\n", + " if dealer_score > 21 or player_score > dealer_score:\n", + " player.chips += (player.current_bet * 2)\n", + " if self.verbose: print(f\"{player.name} WINS!\")\n", + " elif player_score == dealer_score:\n", + " player.chips += player.current_bet\n", + " if self.verbose: print(f\"{player.name} PUSHES.\")\n", + " else: \n", + " if self.verbose: print(f\"{player.name} LOSES.\")\n", + " else:\n", + " if self.verbose: print(f\"{player.name} LOSES.\")\n", + " player.clear_hand()\n", + " \n", + " self.dealer.clear_hand()\n", + "\n", + " # 3. Updated simulation loop to check for bankruptcy\n", + " def run_simulation(self, num_games=1, target_player_name=None):\n", + " for i in range(1, num_games + 1):\n", + " # If a target player is provided, check if they are broke before dealing\n", + " if target_player_name:\n", + " target_player = next((p for p in self.players if p.name == target_player_name), None)\n", + " if target_player and target_player.chips <= 0:\n", + " print(f\"Simulation stopped early at round {i}: {target_player.name} is out of money!\")\n", + " break\n", + " \n", + " self.play_round()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting 50-round simulation... (Quiet Mode Active)\n", + "\n", + "--- FINAL RESULTS AFTER 50 ROUNDS ---\n", + "Dealer Bot 1:\n", + " Ending Chips: 930\n", + " Net Winnings: -70 chips\n", + "\n", + "Dealer Bot 2:\n", + " Ending Chips: 830\n", + " Net Winnings: -170 chips\n", + "\n", + "Dealer Bot 3:\n", + " Ending Chips: 950\n", + " Net Winnings: -50 chips\n", + "\n", + "Strategy Player:\n", + " Ending Chips: 790\n", + " Net Winnings: -210 chips\n", + "\n" + ] + } + ], + "source": [ + "# --- STEP 7: TEST SCENARIO ---\n", + "\n", + "# 1. Create the players (Each starts with exactly 1000 chips)\n", + "bot_1 = Player(name=\"Dealer Bot 1\", strategy=\"Dealer\", starting_chips=1000)\n", + "bot_2 = Player(name=\"Dealer Bot 2\", strategy=\"Dealer\", starting_chips=1000)\n", + "bot_3 = Player(name=\"Dealer Bot 3\", strategy=\"Dealer\", starting_chips=1000)\n", + "\n", + "# The Lab 6 Strategy Player. We will use a threshold of 0 for this test.\n", + "strat_player = Lab6Player(name=\"Strategy Player\", starting_chips=1000, hit_threshold=0)\n", + "\n", + "# 2. Initialize the game table. Note that we set verbose=False!\n", + "q7_table = Game(players_list=[bot_1, bot_2, bot_3, strat_player], decks_in_shoe=6, verbose=False)\n", + "\n", + "# 3. Play 50 rounds, targeting our Strategy Player for the bankruptcy check\n", + "print(\"Starting 50-round simulation... (Quiet Mode Active)\\n\")\n", + "q7_table.run_simulation(num_games=50, target_player_name=\"Strategy Player\")\n", + "\n", + "# 4. Compute and print the final winnings\n", + "print(\"--- FINAL RESULTS AFTER 50 ROUNDS ---\")\n", + "for p in q7_table.players:\n", + " winnings = p.chips - 1000\n", + " print(f\"{p.name}:\")\n", + " print(f\" Ending Chips: {p.chips}\")\n", + " print(f\" Net Winnings: {winnings} chips\\n\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -85,6 +846,122 @@ "8. Create a loop that runs 100 games of 50 rounds, as setup in previous question, and store the strategy player's chips at the end of the game (aka \"winnings\") in a list. Histogram the winnings. What is the average winnings per round? What is the standard deviation. What is the probabilty of net winning or lossing after 50 rounds?\n" ] }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running 100 games of 50 rounds each... Please wait.\n", + "\n", + "--- FINAL STATISTICAL REPORT ---\n", + "Average Winnings (Per 50-Round Game): -208.60 chips\n", + "Average Winnings (PER ROUND): -4.17 chips\n", + "Standard Deviation of Winnings: 67.25 chips\n", + "Probability of a Net Win: 0.0%\n", + "Probability of a Net Loss: 100.0%\n", + "Probability of Breaking Even: 0.0%\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# --- 1. THE MONTE CARLO LOOP ---\n", + "num_simulations = 100\n", + "rounds_per_game = 50\n", + "winnings_list = []\n", + "\n", + "print(f\"Running {num_simulations} games of {rounds_per_game} rounds each... Please wait.\\n\")\n", + "\n", + "for _ in range(num_simulations):\n", + " # CRITICAL LOGIC: We MUST re-instantiate the players inside the loop. \n", + " # If we don't, they will carry their chip counts over from the previous game!\n", + " # We need everyone starting fresh with exactly 1000 chips.\n", + " bot_1 = Player(name=\"Dealer Bot 1\", strategy=\"Dealer\", starting_chips=1000)\n", + " bot_2 = Player(name=\"Dealer Bot 2\", strategy=\"Dealer\", starting_chips=1000)\n", + " bot_3 = Player(name=\"Dealer Bot 3\", strategy=\"Dealer\", starting_chips=1000)\n", + " strat_player = Lab6Player(name=\"Strategy Player\", starting_chips=1000, hit_threshold=0)\n", + " \n", + " # Initialize the table in quiet mode\n", + " q8_table = Game(players_list=[bot_1, bot_2, bot_3, strat_player], decks_in_shoe=6, verbose=False)\n", + " \n", + " # Run the 50 rounds\n", + " q8_table.run_simulation(num_games=rounds_per_game, target_player_name=\"Strategy Player\")\n", + " \n", + " # Record the net winnings (ending chips minus starting chips)\n", + " net_winnings = strat_player.chips - 1000\n", + " winnings_list.append(net_winnings)\n", + "\n", + "# --- 2. STATISTICAL ANALYSIS ---\n", + "# Convert our list to a numpy array for easy mathematical calculations\n", + "winnings_array = np.array(winnings_list)\n", + "\n", + "# 1. Average winnings per game, and per round\n", + "avg_winnings_per_game = np.mean(winnings_array)\n", + "avg_winnings_per_round = avg_winnings_per_game / rounds_per_game \n", + "\n", + "# 2. Standard Deviation\n", + "std_dev = np.std(winnings_array)\n", + "\n", + "# 3. Probabilities (Counting outcomes and dividing by total games)\n", + "prob_winning = np.sum(winnings_array > 0) / num_simulations\n", + "prob_losing = np.sum(winnings_array < 0) / num_simulations\n", + "prob_breaking_even = np.sum(winnings_array == 0) / num_simulations\n", + "\n", + "# Print the final report\n", + "print(\"--- FINAL STATISTICAL REPORT ---\")\n", + "print(f\"Average Winnings (Per 50-Round Game): {avg_winnings_per_game:.2f} chips\")\n", + "print(f\"Average Winnings (PER ROUND): {avg_winnings_per_round:.2f} chips\")\n", + "print(f\"Standard Deviation of Winnings: {std_dev:.2f} chips\")\n", + "print(f\"Probability of a Net Win: {prob_winning * 100:.1f}%\")\n", + "print(f\"Probability of a Net Loss: {prob_losing * 100:.1f}%\")\n", + "print(f\"Probability of Breaking Even: {prob_breaking_even * 100:.1f}%\\n\")\n", + "\n", + "# --- 3. HISTOGRAM GENERATION ---\n", + "plt.figure(figsize=(10, 6))\n", + "# Using 15 bins to get a nice distribution curve\n", + "plt.hist(winnings_list, bins=15, color='cornflowerblue', edgecolor='black')\n", + "\n", + "# Adding lines to easily visualize the mean and the break-even point\n", + "plt.axvline(avg_winnings_per_game, color='red', linestyle='dashed', linewidth=2, label=f'Mean Winnings: {avg_winnings_per_game:.2f}')\n", + "plt.axvline(0, color='green', linestyle='dashed', linewidth=2, label='Break Even (0)')\n", + "\n", + "plt.title('Histogram of Lab 6 Strategy Player Winnings\\n(100 Games, 50 Rounds Each)')\n", + "plt.xlabel('Net Winnings (Chips)')\n", + "plt.ylabel('Frequency (Number of Games)')\n", + "plt.legend()\n", + "plt.grid(axis='y', alpha=0.75)\n", + "\n", + "# Display the chart\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Conclusion & Analysis

\n", + "\n", + "\n", + "The Monte Carlo simulation of 100 games demonstrates that the custom card-counting strategy outlined in Step 6 yields a negative expected value, with the average net winnings consistently falling below the break-even point. While tracking the running count provides valuable information about deck composition, strictly dictating hit/stay actions based solely on a count threshold—while completely ignoring the player's current hand total and the dealer's upcard—leads to mathematically unfavorable decisions, such as standing on a low total or hitting on a 19. Ultimately, this data proves that while card counting is an effective tool for adjusting bet sizes, it cannot profitably replace standard Basic Strategy for actual gameplay decisions." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -92,19 +969,281 @@ "9. Repeat previous questions scanning the value of the threshold. Try at least 5 different threshold values. Can you find an optimal value?" ] }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting threshold scan. Testing 5 values...\n", + "Threshold -4: Average Net Winnings = -138.70 chips\n", + "Threshold -2: Average Net Winnings = -183.90 chips\n", + "Threshold 0: Average Net Winnings = -205.60 chips\n", + "Threshold 2: Average Net Winnings = -246.80 chips\n", + "Threshold 4: Average Net Winnings = -272.80 chips\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "CONCLUSION: The 'optimal' threshold found is -4, yielding -138.70 chips on average.\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "thresholds_to_test = [-4, -2, 0, 2, 4] \n", + "num_simulations = 100\n", + "rounds_per_game = 50\n", + "\n", + "# Dictionary to store the average winnings for each threshold\n", + "results = {}\n", + "\n", + "print(f\"Starting threshold scan. Testing {len(thresholds_to_test)} values...\")\n", + "for threshold in thresholds_to_test:\n", + " # print(f\"Testing threshold: {threshold}...\")\n", + " winnings_for_this_threshold = []\n", + " \n", + " for _ in range(num_simulations):\n", + " # We must re-initialize the table with fresh players for EVERY single game\n", + " bot_1 = Player(name=\"Dealer Bot 1\", strategy=\"Dealer\", starting_chips=1000)\n", + " bot_2 = Player(name=\"Dealer Bot 2\", strategy=\"Dealer\", starting_chips=1000)\n", + " bot_3 = Player(name=\"Dealer Bot 3\", strategy=\"Dealer\", starting_chips=1000)\n", + " \n", + " # NOTE: We pass the current 'threshold' variable from our outer loop into the bot!\n", + " strat_player = Lab6Player(name=\"Strategy Player\", starting_chips=1000, hit_threshold=threshold)\n", + " \n", + " # Set up and run the game quietly\n", + " q9_table = Game(players_list=[bot_1, bot_2, bot_3, strat_player], decks_in_shoe=6, verbose=False)\n", + " q9_table.run_simulation(num_games=rounds_per_game, target_player_name=\"Strategy Player\")\n", + " \n", + " # Record net winnings\n", + " winnings_for_this_threshold.append(strat_player.chips - 1000)\n", + " \n", + " # Calculate the average winnings for this specific threshold and save it to the dictionary\n", + " avg_win = np.mean(winnings_for_this_threshold)\n", + " results[threshold] = avg_win\n", + " print(f\"Threshold {threshold:>2}: Average Net Winnings = {avg_win:.2f} chips\")\n", + "\n", + "# --- PLOTTING THE RESULTS ---\n", + "# Extract data for our line graph\n", + "x_values = list(results.keys())\n", + "y_values = list(results.values())\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x_values, y_values, marker='o', linestyle='-', color='purple', linewidth=2, markersize=8)\n", + "\n", + "# Programmatically find the \"optimal\" (maximum) value in our dictionary\n", + "optimal_threshold = max(results, key=results.get)\n", + "best_avg = results[optimal_threshold]\n", + "\n", + "# Highlight the optimal value on the graph with a gold star/dot\n", + "plt.scatter([optimal_threshold], [best_avg], color='gold', s=200, zorder=5, label=f'Optimal: {optimal_threshold} ({best_avg:.1f} chips)')\n", + "plt.axhline(0, color='red', linestyle='dashed', alpha=0.5, label='Break Even (0)')\n", + "\n", + "plt.title('Average Winnings vs. Hit Threshold\\n(100 Games of 50 Rounds per Threshold)')\n", + "plt.xlabel('Hit Threshold Value')\n", + "plt.ylabel('Average Net Winnings (Chips)')\n", + "plt.xticks(thresholds_to_test)\n", + "plt.grid(True, alpha=0.3)\n", + "plt.legend()\n", + "\n", + "# Display the final chart\n", + "plt.show()\n", + "\n", + "print(f\"\\nCONCLUSION: The 'optimal' threshold found is {optimal_threshold}, yielding {best_avg:.2f} chips on average.\")" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ "10. Create a new strategy based on web searches or your own ideas. Demonstrate that the new strategy will result in increased or decreased winnings. " ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

The Strategy: Martingale

\n", + "\n", + "\n", + "Instead of changing how we play our cards, we are going to change how we bet.\n", + "The rule of Martingale is simple: Double your bet after every loss, and reset to your base bet after a win. In theory, the logic sounds foolproof: if you keep doubling your bet, your eventual win will recover all previous losses plus a small profit. However, in reality (and in our simulation), a long losing streak will cause your bets to grow exponentially until you completely run out of chips." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "class MartingalePlayer(Player):\n", + " def __init__(self, name, starting_chips=1000, base_bet=10):\n", + " # Initialize using the parent class\n", + " super().__init__(name=name, strategy=\"Martingale\", starting_chips=starting_chips)\n", + " \n", + " # New state variables specifically for the Martingale strategy\n", + " self.base_bet = base_bet\n", + " self.last_bet = base_bet\n", + " self.last_chips = starting_chips \n", + " self.first_bet_made = False\n", + "\n", + " def place_bet(self, true_count=0.0):\n", + " if self.chips <= 0:\n", + " self.current_bet = 0\n", + " return\n", + "\n", + " # Logic: Check if our chips went down since the start of the last round\n", + " if not self.first_bet_made:\n", + " bet = self.base_bet\n", + " self.first_bet_made = True\n", + " else:\n", + " if self.chips < self.last_chips:\n", + " # We lost the last hand! Double the bet.\n", + " bet = self.last_bet * 2\n", + " else:\n", + " # We won or pushed. Reset to base bet.\n", + " bet = self.base_bet\n", + "\n", + " # Safeguard: You can't bet more chips than you currently have (going \"all in\")\n", + " bet = min(bet, self.chips)\n", + "\n", + " # Update our tracking variables BEFORE deducting the new bet\n", + " self.last_chips = self.chips\n", + " self.last_bet = bet\n", + " \n", + " self.current_bet = bet\n", + " self.chips -= bet\n", + "\n", + " def decide_action(self, dealer_upcard, true_count, running_count=0):\n", + " # We will use standard Simplified Basic Strategy for playing the cards, \n", + " # so we can isolate and test just the betting strategy.\n", + " dealer_val = 10 if dealer_upcard.rank in ['J', 'Q', 'K', 'A'] else int(dealer_upcard.rank)\n", + " score = self.calculate_score()\n", + " \n", + " if score >= 17: return \"Stand\"\n", + " elif score >= 12 and dealer_val <= 6: return \"Stand\"\n", + " else: return \"Hit\"" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Simulating 100 games to compare Martingale vs. Flat Betting... \n", + "\n", + "--- RESULTS AFTER 100 GAMES ---\n", + "MARTINGALE STRATEGY:\n", + " Average Net Winnings: -136.10 chips\n", + " Bankruptcy Rate: 20.0%\n", + " Win Rate (Finished with >1000 chips): 62.0%\n", + "\n", + "CONTROL STRATEGY (Flat Betting):\n", + " Average Net Winnings: -35.40 chips\n", + " Bankruptcy Rate: 0.0%\n", + " Win Rate (Finished with >1000 chips): 37.0%\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "num_simulations = 100\n", + "rounds_per_game = 50\n", + "\n", + "martingale_winnings = []\n", + "basic_winnings = []\n", + "\n", + "print(\"Simulating 100 games to compare Martingale vs. Flat Betting... \\n\")\n", + "\n", + "for _ in range(num_simulations):\n", + " # 1. The Martingale Player\n", + " marty = MartingalePlayer(name=\"Marty (Martingale)\", starting_chips=1000)\n", + " \n", + " # 2. A Control Player (Uses the exact same playing strategy, but flat bets 10 chips)\n", + " control = Player(name=\"Control (Flat Bet)\", strategy=\"Counter\", starting_chips=1000)\n", + " \n", + " # Load them into the game\n", + " q10_table = Game(players_list=[marty, control], decks_in_shoe=6, verbose=False)\n", + " q10_table.run_simulation(num_games=rounds_per_game)\n", + " \n", + " # Record the net winnings\n", + " martingale_winnings.append(marty.chips - 1000)\n", + " basic_winnings.append(control.chips - 1000)\n", + "\n", + "# --- STATISTICAL ANALYSIS ---\n", + "marty_array = np.array(martingale_winnings)\n", + "control_array = np.array(basic_winnings)\n", + "\n", + "print(\"--- RESULTS AFTER 100 GAMES ---\")\n", + "print(\"MARTINGALE STRATEGY:\")\n", + "print(f\" Average Net Winnings: {np.mean(marty_array):.2f} chips\")\n", + "print(f\" Bankruptcy Rate: {(np.sum(marty_array <= -1000) / num_simulations) * 100:.1f}%\")\n", + "print(f\" Win Rate (Finished with >1000 chips): {(np.sum(marty_array > 0) / num_simulations) * 100:.1f}%\\n\")\n", + "\n", + "print(\"CONTROL STRATEGY (Flat Betting):\")\n", + "print(f\" Average Net Winnings: {np.mean(control_array):.2f} chips\")\n", + "print(f\" Bankruptcy Rate: {(np.sum(control_array <= -1000) / num_simulations) * 100:.1f}%\")\n", + "print(f\" Win Rate (Finished with >1000 chips): {(np.sum(control_array > 0) / num_simulations) * 100:.1f}%\")\n", + "\n", + "# --- PLOTTING THE COMPARISON ---\n", + "plt.figure(figsize=(12, 6))\n", + "\n", + "# Plot both histograms on top of each other with transparency (alpha)\n", + "plt.hist(basic_winnings, bins=20, alpha=0.6, color='gray', label='Control (Flat Bet)')\n", + "plt.hist(martingale_winnings, bins=20, alpha=0.7, color='orange', edgecolor='black', label='Martingale')\n", + "\n", + "plt.axvline(0, color='green', linestyle='dashed', linewidth=2, label='Break Even (0)')\n", + "plt.title('Martingale Betting Strategy vs. Flat Betting\\n(100 Games, 50 Rounds Each)')\n", + "plt.xlabel('Net Winnings (Chips)')\n", + "plt.ylabel('Frequency (Games)')\n", + "plt.legend()\n", + "plt.grid(axis='y', alpha=0.5)\n", + "\n", + "plt.show()" + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "Python (ds)", "language": "python", - "name": "python3" + "name": "ds" }, "language_info": { "codemirror_mode": { @@ -116,7 +1255,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.12" + "version": "3.11.14" } }, "nbformat": 4, diff --git a/Labs/Lab.6/lab-6-uml.pdf b/Labs/Lab.6/lab-6-uml.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8a3e05ad2e91c0835ceceae36d1af8e02848e685 GIT binary patch literal 510224 zcmeFa2Ut^Gx;7j@I!Nzgs7gmV2ogbQA_7WpktQV+k*b6QP(XSU5Ky9Y6-0U`bPz;9 zloAj~P!I%307HZT|9;;yGv}Q7zPYY*&3Dc}@62KAN;W%tueG1m*YiC0y~NEf>&q(0 zDKUume%<=|y=?p0SZ_arlF&IJe;02CEiEB=eJ`IN_dCG1k8_awWp`J9H+LcVtL}at zL7qZt3PRf241qy++?{X(rK8XBS_~m1C 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Y5PcIIDcx96MfvfXT3W{94KI(y4P4>;^q?Xbe_Ud8KPMTG?}saKq7i3dCp@9@&Evg5rf z%@q<11Ovf9Fc1v<90NSFC6mfAY%mZE1OuN8Xn#mlVO_9u%v%S|h)wm6g%bL@EDKY? zx?tzX9*TJ>(Mzp7G0e*uPbIG|*g1MREYHkw%FG{+7t6CVo^m>@b_^Q~1Ot5r^!BAp zb^f36ml=HI=aewPKrrxM8L;tuF>m;FL;J{4?)3g7 ZpLun`&QYT%p38}G5y*su2?lQ(G)Mpd literal 0 HcmV?d00001 diff --git a/Labs/Lab.7/Lab.7.ipynb b/Labs/Lab.7/Lab.7.ipynb index 53c6f093..f454c4cf 100644 --- a/Labs/Lab.7/Lab.7.ipynb +++ b/Labs/Lab.7/Lab.7.ipynb @@ -52,7 +52,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -61,53 +61,47 @@ "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", - "100 879M 0 879M 0 0 7588k 0 --:--:-- 0:01:58 --:--:-- 6850k\n" + "100 879M 0 879M 0 0 6918k 0 --:--:-- 0:02:10 --:--:-- 8364k456k 0 --:--:-- 0:00:12 --:--:-- 6740k10M 0 0 7806k 0 --:--:-- 0:00:40 --:--:-- 1612k 0 326M 0 0 7157k 0 --:--:-- 0:00:46 --:--:-- 2843k 355M 0 0 6656k 0 --:--:-- 0:00:54 --:--:-- 3737k0 386M 0 0 6414k 0 --:--:-- 0:01:01 --:--:-- 4685k4k 0 --:--:-- 0:01:43 --:--:-- 8356k6749k 0 --:--:-- 0:02:01 --:--:-- 11.2M\n" ] } ], "source": [ - "#!curl http://archive.ics.uci.edu/ml/machine-learning-databases/00279/SUSY.csv.gz > SUSY.csv.gz" + "!curl http://archive.ics.uci.edu/ml/machine-learning-databases/00279/SUSY.csv.gz > SUSY.csv.gz" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rm: SUSY.csv: No such file or directory\n" - ] - } - ], + "outputs": [], "source": [ - "#!rm SUSY.csv" + "!rm SUSY.csv" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "#!gunzip SUSY.csv.gz" + "!gunzip SUSY.csv.gz" ] }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, + "execution_count": 3, + "metadata": { + "scrolled": true + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "total 4685592\n", - "-rw-------@ 1 afarbin staff 389K Mar 20 13:47 Lab.7.ipynb\n", - "-rw-r--r--@ 1 afarbin staff 8.0M Mar 20 12:18 Lab.7.pdf\n", - "-rw-r--r--@ 1 afarbin staff 2.2G Mar 20 11:36 SUSY.csv\n" + "total 4702264\n", + "-rw-r--r--@ 1 subhamkalwar staff 389K Mar 20 17:43 Lab.7.ipynb\n", + "-rw-r--r--@ 1 subhamkalwar staff 8.0M Mar 20 17:43 Lab.7.pdf\n", + "-rw-r--r--@ 1 subhamkalwar staff 2.2G Mar 27 21:34 SUSY.csv\n" ] } ], @@ -124,18 +118,18 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0.000000000000000000e+00,9.728614687919616699e-01,6.538545489311218262e-01,1.176224589347839355e+00,1.157156467437744141e+00,-1.739873170852661133e+00,-8.743090629577636719e-01,5.677649974822998047e-01,-1.750000417232513428e-01,8.100607395172119141e-01,-2.525521218776702881e-01,1.921887040138244629e+00,8.896374106407165527e-01,4.107718467712402344e-01,1.145620822906494141e+00,1.932632088661193848e+00,9.944640994071960449e-01,1.367815494537353516e+00,4.071449860930442810e-02\r\n", - "1.000000000000000000e+00,1.667973041534423828e+00,6.419061869382858276e-02,-1.225171446800231934e+00,5.061022043228149414e-01,-3.389389812946319580e-01,1.672542810440063477e+00,3.475464344024658203e+00,-1.219136357307434082e+00,1.295456290245056152e-02,3.775173664093017578e+00,1.045977115631103516e+00,5.680512785911560059e-01,4.819284379482269287e-01,0.000000000000000000e+00,4.484102725982666016e-01,2.053557634353637695e-01,1.321893453598022461e+00,3.775840103626251221e-01\r\n", - "1.000000000000000000e+00,4.448399245738983154e-01,-1.342980116605758667e-01,-7.099716067314147949e-01,4.517189264297485352e-01,-1.613871216773986816e+00,-7.686609029769897461e-01,1.219918131828308105e+00,5.040258169174194336e-01,1.831247568130493164e+00,-4.313853085041046143e-01,5.262832045555114746e-01,9.415140151977539062e-01,1.587535023689270020e+00,2.024308204650878906e+00,6.034975647926330566e-01,1.562373995780944824e+00,1.135454416275024414e+00,1.809100061655044556e-01\r\n", - "1.000000000000000000e+00,3.812560737133026123e-01,-9.761453866958618164e-01,6.931523084640502930e-01,4.489588439464569092e-01,8.917528986930847168e-01,-6.773284673690795898e-01,2.033060073852539062e+00,1.533040523529052734e+00,3.046259880065917969e+00,-1.005284786224365234e+00,5.693860650062561035e-01,1.015211343765258789e+00,1.582216739654541016e+00,1.551914215087890625e+00,7.612152099609375000e-01,1.715463757514953613e+00,1.492256760597229004e+00,9.071890264749526978e-02\r\n", - "1.000000000000000000e+00,1.309996485710144043e+00,-6.900894641876220703e-01,-6.762592792510986328e-01,1.589282631874084473e+00,-6.933256387710571289e-01,6.229069828987121582e-01,1.087561845779418945e+00,-3.817416727542877197e-01,5.892043709754943848e-01,1.365478992462158203e+00,1.179295063018798828e+00,9.682182073593139648e-01,7.285631299018859863e-01,0.000000000000000000e+00,1.083157896995544434e+00,4.342924803495407104e-02,1.154853701591491699e+00,9.485860168933868408e-02\r\n" + "0.000000000000000000e+00,9.728614687919616699e-01,6.538545489311218262e-01,1.176224589347839355e+00,1.157156467437744141e+00,-1.739873170852661133e+00,-8.743090629577636719e-01,5.677649974822998047e-01,-1.750000417232513428e-01,8.100607395172119141e-01,-2.525521218776702881e-01,1.921887040138244629e+00,8.896374106407165527e-01,4.107718467712402344e-01,1.145620822906494141e+00,1.932632088661193848e+00,9.944640994071960449e-01,1.367815494537353516e+00,4.071449860930442810e-02\n", + "1.000000000000000000e+00,1.667973041534423828e+00,6.419061869382858276e-02,-1.225171446800231934e+00,5.061022043228149414e-01,-3.389389812946319580e-01,1.672542810440063477e+00,3.475464344024658203e+00,-1.219136357307434082e+00,1.295456290245056152e-02,3.775173664093017578e+00,1.045977115631103516e+00,5.680512785911560059e-01,4.819284379482269287e-01,0.000000000000000000e+00,4.484102725982666016e-01,2.053557634353637695e-01,1.321893453598022461e+00,3.775840103626251221e-01\n", + "1.000000000000000000e+00,4.448399245738983154e-01,-1.342980116605758667e-01,-7.099716067314147949e-01,4.517189264297485352e-01,-1.613871216773986816e+00,-7.686609029769897461e-01,1.219918131828308105e+00,5.040258169174194336e-01,1.831247568130493164e+00,-4.313853085041046143e-01,5.262832045555114746e-01,9.415140151977539062e-01,1.587535023689270020e+00,2.024308204650878906e+00,6.034975647926330566e-01,1.562373995780944824e+00,1.135454416275024414e+00,1.809100061655044556e-01\n", + "1.000000000000000000e+00,3.812560737133026123e-01,-9.761453866958618164e-01,6.931523084640502930e-01,4.489588439464569092e-01,8.917528986930847168e-01,-6.773284673690795898e-01,2.033060073852539062e+00,1.533040523529052734e+00,3.046259880065917969e+00,-1.005284786224365234e+00,5.693860650062561035e-01,1.015211343765258789e+00,1.582216739654541016e+00,1.551914215087890625e+00,7.612152099609375000e-01,1.715463757514953613e+00,1.492256760597229004e+00,9.071890264749526978e-02\n", + "1.000000000000000000e+00,1.309996485710144043e+00,-6.900894641876220703e-01,-6.762592792510986328e-01,1.589282631874084473e+00,-6.933256387710571289e-01,6.229069828987121582e-01,1.087561845779418945e+00,-3.817416727542877197e-01,5.892043709754943848e-01,1.365478992462158203e+00,1.179295063018798828e+00,9.682182073593139648e-01,7.285631299018859863e-01,0.000000000000000000e+00,1.083157896995544434e+00,4.342924803495407104e-02,1.154853701591491699e+00,9.485860168933868408e-02\n" ] } ], @@ -158,17 +152,17 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "total 4685592\n", - "-rw-------@ 1 afarbin staff 389K Mar 20 13:47 Lab.7.ipynb\n", - "-rw-r--r--@ 1 afarbin staff 8.0M Mar 20 12:18 Lab.7.pdf\n", - "-rw-r--r--@ 1 afarbin staff 2.2G Mar 20 11:36 SUSY.csv\n" + "total 4702264\n", + "-rw-r--r--@ 1 subhamkalwar staff 389K Mar 20 17:43 Lab.7.ipynb\n", + "-rw-r--r--@ 1 subhamkalwar staff 8.0M Mar 20 17:43 Lab.7.pdf\n", + "-rw-r--r--@ 1 subhamkalwar staff 2.2G Mar 27 21:34 SUSY.csv\n" ] } ], @@ -185,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -209,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -218,18 +212,18 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "total 5152448\n", - "-rw-------@ 1 afarbin staff 389K Mar 20 13:49 Lab.7.ipynb\n", - "-rw-r--r--@ 1 afarbin staff 8.0M Mar 20 12:18 Lab.7.pdf\n", - "-rw-r--r-- 1 afarbin staff 228M Mar 20 13:50 SUSY-small.csv\n", - "-rw-r--r--@ 1 afarbin staff 2.2G Mar 20 11:36 SUSY.csv\n" + "total 5169120\n", + "-rw-r--r--@ 1 subhamkalwar staff 389K Mar 20 17:43 Lab.7.ipynb\n", + "-rw-r--r--@ 1 subhamkalwar staff 8.0M Mar 20 17:43 Lab.7.pdf\n", + "-rw-r--r--@ 1 subhamkalwar staff 228M Mar 27 21:39 SUSY-small.csv\n", + "-rw-r--r--@ 1 subhamkalwar staff 2.2G Mar 27 21:34 SUSY.csv\n" ] } ], @@ -239,7 +233,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -272,7 +266,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -288,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -298,7 +292,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -314,7 +308,7 @@ " 'MET_phi']" ] }, - "execution_count": 14, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -325,25 +319,25 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "['axial_MET',\n", - " 'MT2',\n", - " 'M_Delta_R',\n", + "['cos_theta_r1',\n", " 'M_R',\n", - " 'S_R',\n", " 'M_TR_2',\n", + " 'S_R',\n", " 'dPhi_r_b',\n", + " 'M_Delta_R',\n", " 'R',\n", " 'MET_rel',\n", - " 'cos_theta_r1']" + " 'axial_MET',\n", + " 'MT2']" ] }, - "execution_count": 15, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -361,7 +355,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -379,152 +373,11 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 550, in _run_callback\n", - " f = callback(*args, **kwargs)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/iostream.py\", line 105, in _handle_subscription\n", - " event_type = frame[0]\n", - " ~~~~~^^^\n", - "IndexError: index out of range\n", - "ERROR:tornado.general:Uncaught exception in zmqstream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 600, in _handle_events\n", - " self._handle_recv()\n", - " ~~~~~~~~~~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 629, in _handle_recv\n", - " self._run_callback(callback, msg)\n", - " ~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 550, in _run_callback\n", - " f = callback(*args, **kwargs)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/iostream.py\", line 105, in _handle_subscription\n", - " event_type = frame[0]\n", - " ~~~~~^^^\n", - "IndexError: index out of range\n", - "ERROR:tornado.application:Exception in callback functools.partial(. at 0x10ca8cf40>)\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/tornado/ioloop.py\", line 758, in _run_callback\n", - " ret = callback()\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 684, in \n", - " self.io_loop.add_callback(lambda: self._handle_events(self.socket, 0))\n", - " ~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 600, in _handle_events\n", - " self._handle_recv()\n", - " ~~~~~~~~~~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 629, in _handle_recv\n", - " self._run_callback(callback, msg)\n", - " ~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 550, in _run_callback\n", - " f = callback(*args, **kwargs)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/iostream.py\", line 105, in _handle_subscription\n", - " event_type = frame[0]\n", - " ~~~~~^^^\n", - "IndexError: index out of range\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "Bad pipe message: %s [b'\\xec\\xb1\\xa7\\xd4~\\xbc\\xd5\\x03\\x80\\xc8M\\x13j\\xcd\\x01\\xe34\\xcd\\x00\\x01|\\x00\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00\\x04\\x00\\x05\\x00\\x06\\x00\\x07\\x00\\x08\\x00\\t\\x00\\n\\x00\\x0b\\x00\\x0c\\x00\\r\\x00\\x0e\\x00\\x0f\\x00\\x10\\x00\\x11\\x00\\x12\\x00\\x13\\x00\\x14\\x00\\x15\\x00\\x16\\x00\\x17\\x00\\x18\\x00\\x19\\x00\\x1a\\x00\\x1b\\x00/\\x000\\x001\\x002\\x003\\x004\\x005\\x006\\x007\\x008\\x009\\x00:\\x00;\\x00<\\x00=\\x00>\\x00?\\x00@\\x00A\\x00B\\x00C\\x00D\\x00E\\x00F\\x00g\\x00h\\x00i\\x00j\\x00k\\x00l\\x00m\\x00\\x84\\x00\\x85\\x00\\x86\\x00\\x87\\x00\\x88\\x00\\x89\\x00\\x96\\x00\\x97\\x00\\x98\\x00\\x99\\x00\\x9a']\n", - "Bad pipe message: %s [b'\\xc6\\xfd\\xd1\\xa1\\x92\\xd1d\\xf6a\\x90\\xdff']\n", - "Bad pipe message: %s [b'\\xc1z\\xcb\\xa2L\\xa0\\xbc\\x9f\\xb9g\\xeb1\\xf3\\xe5\\x04\\xbc\\xbb\\xb5\\x00\\x01|\\x00\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00\\x04\\x00\\x05\\x00\\x06\\x00\\x07\\x00\\x08\\x00\\t\\x00\\n\\x00\\x0b\\x00\\x0c\\x00\\r\\x00\\x0e\\x00\\x0f\\x00\\x10\\x00\\x11\\x00\\x12\\x00\\x13\\x00\\x14\\x00\\x15\\x00\\x16\\x00\\x17\\x00\\x18\\x00\\x19\\x00\\x1a\\x00\\x1b\\x00/\\x000\\x001\\x002\\x003\\x004\\x005\\x006\\x007\\x008\\x009\\x00:\\x00;\\x00<\\x00=\\x00>\\x00?\\x00@\\x00A\\x00B\\x00C\\x00D\\x00E\\x00F\\x00g\\x00h\\x00i\\x00j\\x00k\\x00l\\x00m\\x00\\x84\\x00\\x85\\x00\\x86\\x00\\x87\\x00\\x88\\x00\\x89\\x00\\x96\\x00\\x97\\x00\\x98\\x00\\x99\\x00\\x9a\\x00\\x9b\\x00\\x9c\\x00\\x9d\\x00\\x9e\\x00\\x9f\\x00\\xa0\\x00\\xa1\\x00\\xa2\\x00\\xa3\\x00\\xa4\\x00\\xa5\\x00\\xa6\\x00\\xa7\\x00\\xba\\x00\\xbb\\x00\\xbc\\x00\\xbd\\x00\\xbe\\x00\\xbf\\x00\\xc0\\x00\\xc1\\x00\\xc2\\x00\\xc3\\x00\\xc4\\x00\\xc5\\x13\\x01\\x13\\x02\\x13\\x03\\x13\\x04\\x13\\x05\\xc0\\x01\\xc0\\x02\\xc0\\x03\\xc0\\x04\\xc0\\x05\\xc0\\x06\\xc0\\x07']\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n" - ] - } - ], + "outputs": [], "source": [ - "filename = \"SUSY.csv\"\n", + "filename = \"SUSY-small.csv\"\n", "df = pd.read_csv(filename, dtype='float64', names=VarNames)" ] }, @@ -537,7 +390,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -716,164 +569,164 @@ " ...\n", " \n", " \n", - " 4999995\n", - " 1.0\n", - " 0.853325\n", - " -0.961783\n", - " -1.487277\n", - " 0.678190\n", - " 0.493580\n", - " 1.647969\n", - " 1.843867\n", - " 0.276954\n", - " 1.025105\n", - " -1.486535\n", - " 0.892879\n", - " 1.684429\n", - " 1.674084\n", - " 3.366298\n", - " 1.046707\n", - " 2.646649\n", - " 1.389226\n", - " 0.364599\n", - " \n", - " \n", - " 4999996\n", + " 499995\n", " 0.0\n", - " 0.951581\n", - " 0.139370\n", - " 1.436884\n", - " 0.880440\n", - " -0.351948\n", - " -0.740852\n", - " 0.290863\n", - " -0.732360\n", - " 0.001360\n", - " 0.257738\n", - " 0.802871\n", - " 0.545319\n", - " 0.602730\n", - " 0.002998\n", - " 0.748959\n", - " 0.401166\n", - " 0.443471\n", - " 0.239953\n", + " 0.719035\n", + " 1.091879\n", + " 0.291540\n", + " 1.205962\n", + " -1.599117\n", + " -1.139445\n", + " 0.424546\n", + " 1.154849\n", + " 0.637185\n", + " -0.091178\n", + " 1.972156\n", + " 0.697028\n", + " 0.313636\n", + " 0.988602\n", + " 1.981573\n", + " 0.744828\n", + " 1.095080\n", + " 0.006546\n", " \n", " \n", - " 4999997\n", - " 0.0\n", - " 0.840389\n", - " 1.419162\n", - " -1.218766\n", - " 1.195631\n", - " 1.695645\n", - " 0.663756\n", - " 0.490888\n", - " -0.509186\n", - " 0.704289\n", - " 0.045744\n", - " 0.825015\n", - " 0.723530\n", - " 0.778236\n", - " 0.752942\n", - " 0.838953\n", - " 0.614048\n", - " 1.210595\n", - " 0.026692\n", + " 499996\n", + " 1.0\n", + " 0.910016\n", + " -0.364544\n", + " -0.777120\n", + " 0.543648\n", + " -0.910632\n", + " -1.723707\n", + " 2.864673\n", + " 1.458272\n", + " 2.176558\n", + " -0.590911\n", + " 0.673695\n", + " 1.662140\n", + " 2.189362\n", + " 1.195041\n", + " 0.910815\n", + " 1.181893\n", + " 1.252362\n", + " 0.826035\n", " \n", " \n", - " 4999998\n", + " 499997\n", " 1.0\n", - " 1.784218\n", - " -0.833565\n", - " -0.560091\n", - " 0.953342\n", - " -0.688969\n", - " -1.428233\n", - " 2.660703\n", - " -0.861344\n", - " 2.116892\n", - " 2.906151\n", - " 1.232334\n", - " 0.952444\n", - " 0.685846\n", - " 0.000000\n", - " 0.781874\n", - " 0.676003\n", - " 1.197807\n", - " 0.093689\n", + " 0.842954\n", + " 0.332476\n", + " -1.048564\n", + " 1.347989\n", + " 0.320496\n", + " -0.666358\n", + " 0.450433\n", + " -0.411872\n", + " 0.293407\n", + " 0.630491\n", + " 0.859920\n", + " 0.403371\n", + " 0.416258\n", + " 0.591989\n", + " 0.372003\n", + " 0.716788\n", + " 0.366991\n", + " 0.265798\n", + " \n", + " \n", + " 499998\n", + " 0.0\n", + " 1.370760\n", + " -1.162912\n", + " 0.893499\n", + " 2.118091\n", + " 1.248496\n", + " -0.887211\n", + " 0.164659\n", + " 0.316840\n", + " 0.215165\n", + " 0.280418\n", + " 3.087083\n", + " 0.526929\n", + " 0.151467\n", + " 0.308067\n", + " 3.098183\n", + " 0.233042\n", + " 0.876216\n", + " 0.000593\n", " \n", " \n", - " 4999999\n", + " 499999\n", " 0.0\n", - " 0.761500\n", - " 0.680454\n", - " -1.186213\n", - " 1.043521\n", - " -0.316755\n", - " 0.246879\n", - " 1.120280\n", - " 0.998479\n", - " 1.640881\n", - " -0.797688\n", - " 0.854212\n", - " 1.121858\n", - " 1.165438\n", - " 1.498351\n", - " 0.931580\n", - " 1.293524\n", - " 1.539167\n", - " 0.187496\n", + " 0.762400\n", + " 0.440924\n", + " 0.342885\n", + " 1.034283\n", + " 1.740353\n", + " -1.083314\n", + " 0.872145\n", + " -1.519894\n", + " 0.284328\n", + " -0.360861\n", + " 0.956828\n", + " 0.965979\n", + " 0.895881\n", + " 1.020396\n", + " 0.996446\n", + " 0.943458\n", + " 1.299870\n", + " 0.197220\n", " \n", " \n", "\n", - "

5000000 rows × 19 columns

\n", + "

500000 rows × 19 columns

\n", "" ], "text/plain": [ - " signal l_1_pT l_1_eta l_1_phi l_2_pT l_2_eta l_2_phi \\\n", - "0 0.0 0.972861 0.653855 1.176225 1.157156 -1.739873 -0.874309 \n", - "1 1.0 1.667973 0.064191 -1.225171 0.506102 -0.338939 1.672543 \n", - "2 1.0 0.444840 -0.134298 -0.709972 0.451719 -1.613871 -0.768661 \n", - "3 1.0 0.381256 -0.976145 0.693152 0.448959 0.891753 -0.677328 \n", - "4 1.0 1.309996 -0.690089 -0.676259 1.589283 -0.693326 0.622907 \n", - "... ... ... ... ... ... ... ... \n", - "4999995 1.0 0.853325 -0.961783 -1.487277 0.678190 0.493580 1.647969 \n", - "4999996 0.0 0.951581 0.139370 1.436884 0.880440 -0.351948 -0.740852 \n", - "4999997 0.0 0.840389 1.419162 -1.218766 1.195631 1.695645 0.663756 \n", - "4999998 1.0 1.784218 -0.833565 -0.560091 0.953342 -0.688969 -1.428233 \n", - "4999999 0.0 0.761500 0.680454 -1.186213 1.043521 -0.316755 0.246879 \n", + " signal l_1_pT l_1_eta l_1_phi l_2_pT l_2_eta l_2_phi \\\n", + "0 0.0 0.972861 0.653855 1.176225 1.157156 -1.739873 -0.874309 \n", + "1 1.0 1.667973 0.064191 -1.225171 0.506102 -0.338939 1.672543 \n", + "2 1.0 0.444840 -0.134298 -0.709972 0.451719 -1.613871 -0.768661 \n", + "3 1.0 0.381256 -0.976145 0.693152 0.448959 0.891753 -0.677328 \n", + "4 1.0 1.309996 -0.690089 -0.676259 1.589283 -0.693326 0.622907 \n", + "... ... ... ... ... ... ... ... \n", + "499995 0.0 0.719035 1.091879 0.291540 1.205962 -1.599117 -1.139445 \n", + "499996 1.0 0.910016 -0.364544 -0.777120 0.543648 -0.910632 -1.723707 \n", + "499997 1.0 0.842954 0.332476 -1.048564 1.347989 0.320496 -0.666358 \n", + "499998 0.0 1.370760 -1.162912 0.893499 2.118091 1.248496 -0.887211 \n", + "499999 0.0 0.762400 0.440924 0.342885 1.034283 1.740353 -1.083314 \n", "\n", - " MET MET_phi MET_rel axial_MET M_R M_TR_2 \\\n", - "0 0.567765 -0.175000 0.810061 -0.252552 1.921887 0.889637 \n", - "1 3.475464 -1.219136 0.012955 3.775174 1.045977 0.568051 \n", - "2 1.219918 0.504026 1.831248 -0.431385 0.526283 0.941514 \n", - "3 2.033060 1.533041 3.046260 -1.005285 0.569386 1.015211 \n", - "4 1.087562 -0.381742 0.589204 1.365479 1.179295 0.968218 \n", - "... ... ... ... ... ... ... \n", - "4999995 1.843867 0.276954 1.025105 -1.486535 0.892879 1.684429 \n", - "4999996 0.290863 -0.732360 0.001360 0.257738 0.802871 0.545319 \n", - "4999997 0.490888 -0.509186 0.704289 0.045744 0.825015 0.723530 \n", - "4999998 2.660703 -0.861344 2.116892 2.906151 1.232334 0.952444 \n", - "4999999 1.120280 0.998479 1.640881 -0.797688 0.854212 1.121858 \n", + " MET MET_phi MET_rel axial_MET M_R M_TR_2 R \\\n", + "0 0.567765 -0.175000 0.810061 -0.252552 1.921887 0.889637 0.410772 \n", + "1 3.475464 -1.219136 0.012955 3.775174 1.045977 0.568051 0.481928 \n", + "2 1.219918 0.504026 1.831248 -0.431385 0.526283 0.941514 1.587535 \n", + "3 2.033060 1.533041 3.046260 -1.005285 0.569386 1.015211 1.582217 \n", + "4 1.087562 -0.381742 0.589204 1.365479 1.179295 0.968218 0.728563 \n", + "... ... ... ... ... ... ... ... \n", + "499995 0.424546 1.154849 0.637185 -0.091178 1.972156 0.697028 0.313636 \n", + "499996 2.864673 1.458272 2.176558 -0.590911 0.673695 1.662140 2.189362 \n", + "499997 0.450433 -0.411872 0.293407 0.630491 0.859920 0.403371 0.416258 \n", + "499998 0.164659 0.316840 0.215165 0.280418 3.087083 0.526929 0.151467 \n", + "499999 0.872145 -1.519894 0.284328 -0.360861 0.956828 0.965979 0.895881 \n", "\n", - " R MT2 S_R M_Delta_R dPhi_r_b cos_theta_r1 \n", - "0 0.410772 1.145621 1.932632 0.994464 1.367815 0.040714 \n", - "1 0.481928 0.000000 0.448410 0.205356 1.321893 0.377584 \n", - "2 1.587535 2.024308 0.603498 1.562374 1.135454 0.180910 \n", - "3 1.582217 1.551914 0.761215 1.715464 1.492257 0.090719 \n", - "4 0.728563 0.000000 1.083158 0.043429 1.154854 0.094859 \n", - "... ... ... ... ... ... ... \n", - "4999995 1.674084 3.366298 1.046707 2.646649 1.389226 0.364599 \n", - "4999996 0.602730 0.002998 0.748959 0.401166 0.443471 0.239953 \n", - "4999997 0.778236 0.752942 0.838953 0.614048 1.210595 0.026692 \n", - "4999998 0.685846 0.000000 0.781874 0.676003 1.197807 0.093689 \n", - "4999999 1.165438 1.498351 0.931580 1.293524 1.539167 0.187496 \n", + " MT2 S_R M_Delta_R dPhi_r_b cos_theta_r1 \n", + "0 1.145621 1.932632 0.994464 1.367815 0.040714 \n", + "1 0.000000 0.448410 0.205356 1.321893 0.377584 \n", + "2 2.024308 0.603498 1.562374 1.135454 0.180910 \n", + "3 1.551914 0.761215 1.715464 1.492257 0.090719 \n", + "4 0.000000 1.083158 0.043429 1.154854 0.094859 \n", + "... ... ... ... ... ... \n", + "499995 0.988602 1.981573 0.744828 1.095080 0.006546 \n", + "499996 1.195041 0.910815 1.181893 1.252362 0.826035 \n", + "499997 0.591989 0.372003 0.716788 0.366991 0.265798 \n", + "499998 0.308067 3.098183 0.233042 0.876216 0.000593 \n", + "499999 1.020396 0.996446 0.943458 1.299870 0.197220 \n", "\n", - "[5000000 rows x 19 columns]" + "[500000 rows x 19 columns]" ] }, - "execution_count": 11, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -891,7 +744,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -908,7 +761,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -920,7 +773,7 @@ }, { "data": { - "image/png": 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\n", 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", 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\n", 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", 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\n", + "image/png": 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", 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\n", 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", 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\n", 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", 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vNPH5K1T8Vb73Ez8v9bRXHVL4nHJNfP4K6fmGkzUaMjwcxV0H43keDrg683kqPiXVO47bdx1XuIbVvTcehKtcWU9+ol7x7ic4zjxbXcAMGunhrhfvV+Qb1Qr3aQQyS98nWr3r3peHNqvXIPcD9dn3pfjVdzxekMifOFvFHk4mnXk2SQleQstJSTukpJNS/XFnAqwzzyZtb1hTX1+nRhp2vZ/05x5S0uWNhEFPFwkaOXv1dtJ/dh08nvj1dMqp2Sp+9R3/gmJBgaQYj/tKhySn7WIVv+25Lt4uOPk8Ifa1zzs7Y0+3Db9/QEkzr/VyUamRBiVft555kf/+gboW9jmelpck6XoP+9DvxoerXFkvH1GvAb3dRzmdsk9Ml+PyDd4/w0qSVH8/dGZf4uGD3Og+z0soD/Rz7+sugrq6r1VSjwINGeL+mbFXHVK4evjYx/q/v9eHvo71l0ra7nGcr4upUjPCtY+dbH5BFxWXNDyNdH7wjXwGmjlyhR6vPB1jG9npGeHhsnjb+F6ESbrEx7geXsYZ4eHa3WO4qg5HepyyfotSRESE/vWvf2nZ0qUqKyvThXFxemb+fF33y19q/ccfSxZL3WchJERLfv973XPPPbrxxhsVERGhhx56SAfyDig01CabtVZdu9YVDw2VunaVdKpaUqiMqtOqLi5VufOAru7zQ80Yf4d+NfP/U/Wpat1www2aM2eOHn/88e+qefp0XZLy8L6eVrhq1VMJcadk69bFbVzliVPKO9hFJw5+q9Nq+P08F1uNCEOtIL+gi4+Djo8dckFB3b9zHpPmeN4JOh9aLQ3qovrsfSLkcHg+gfEaeD5s5PYGL1eSmnLw8ykvT9pe78Qnr1AebzhvhCPmlJxK8njC5LOekup2xJ52xk6PQaZJ9Um9QM4PD6n4q/yGc/UVMnrESLbLpYkN7+d1HYzn3KohnoKwt7rozInf03/ycSvgsIbD86Xw+d5OKHxfkW/WrXdezvy8HXCPfhuiWx7q6/NKqKdZuhpSPZ1o5eXJPuceOcZuaHgg3q66g3hSUoPPU35VlO/vvMplryqRvIQMT+w9TvsI+mfm66VV0OGQnO963hauUOfppD+7UBW6Xq9O/0BJV5znPp2viwQ+mngaPelXuewT0yUPrW2O8HA5RnRVgw/b2f2Mp33JjkJJMR5bmeV0yjFxohwlm6WYetv3zAUn58QnJQ9Xs72dEDe6z3M4PLeKOcNUoa51n8Pr3U+mG2lQUrh66E3dqV466nvZ9dahQj/zerLs7eLQWd5bBU/K07aTGvsMn9mXTPTU0lp3vPO6z/NyEHU4vGZPn/mjsbsIwlUuu4pV/3jhsBbJqVQVz1vZ4MJnY/t7u+1iOTzuZM8Enmefky6v90C/M0yaqDMtyfU+977uvGgKD61Nvp7XPapeukVv+n7Prh4sDan3mTlz4l0XmDzcav7BN43X9fTpuv3N9zoUqIqw6//+/IWCvz3W+PT1WCxS37514eL7TpZUKu+wTQmxlQrr4b4tTgZ3U9WpBFdLzfdVllYp77BVp2ssrjCUlJSkrKwsqbxcVc59Op3QT7KFqVzSij+8KkkqV91JeffuVq1du9Y1v/Lycj3x+BMaff09rmH79+93/T9EpxWkYP3ptS8kffeuTvj1Kk349SoFqUZ9o8sVEtZF0+74L5Ufq9vOs+6dpVljfqHy2AsatG5VVgVJhyVbty51get7QkK6KOiQobzaPh7fzyCjRgNOVp1LWYgw1BqKS0K8HuR87ZCdJWd2tB52dPaCLgq/vVYTFw2SJ95O/HwHHt8tJ96vJHk/+LnWxcPVbGfxmcp5DXvXB9RVjEMH607qPF51913P1uBIvcDzVUufIaORZ0dsNbL/ZY3k7XkVb3Wx2+Xw83KgzxMKX7clNnqL2Xa9+aSzQUuUvv1WmjVLGj27wTRNOeBmvVze4Gr10aPSLT+r1ejRXoKSyjVizkjvt7v5uO/Q08VJ51cXqEKNBCzrBvkThnwG/TPsVYfkKC5q0Cqoo0fluOUWOTy21Hi/unz2e5h0Qx8NuaH+hYImXCTw0PzlOun3ELBc782r8/27r+nsfsLXvuTSS6X6wcVH04FdcQqXUxO1tsE46czJ3d6PpO31boUL8ELOWUkJlR5vc/QWZs/epjxa7/i9rPCwWo34md3Lft3bxaEm8vDFcJQ45dQNnlv3nNLEiV31/rx/NvjOOPNsdeHJ00l/I/d1OZQvR4MvxJlbJG2XaOJET7f9+DgWnr2oVjJf2n6qwTiHDtbdAljv4klj+/vwMKecb3voMOhs4Ln8ci8X8c6G8/rD8jwXbsyZllRPFwHq9r8+QqKtRllP71Gvng1vlfLaetcnoi4ge7l7QjrzXevjodezM9/7UyXlqvjqsGr03f69UjZVRfVRQlSNbB5aK2QJkvr2kbqENhgVEiKFejhxrz12UhURYaqNLZUi3U+XjdLTdWHhTEuNm8q62/gqT9SofsA8fbJG+7w+o1T37M+JEzu0b9+XGjZsuMrKSrVgwW9lSBo58maP01i7GBqgXa6A5ba8ylPalxekPYWeepELkxQpHfY4WwUFeX4kymqVBgyweOxbwVMQPBcQhlqRp4NcU5rx7SOSGlwJdUhyfun74UjPVxHP7OSV7vEqot1WLsdPNzW88toUHg5+9uIDCpfDy5VAu8LDamV/w8NJ/ZkDgLMkpmGIakonAR7PUJvRu4A8X7lq0lUrL3yFjMbY7cFyOBr+JkFr8XIxu5HbEr3fYna2FWf0Yw1bour4DoIeD7hnT6SD5qvhyehROY1fq9jLQdxuK5djw4t+PdTelO/uiEkJDSfdflKaczCgz6hDB+XQdjW4Yis17alojw8JnPmuzftvydtJqIdnWFxlPF3RzSv0fvvkmROYpOfv05DnW+gW3zP183sdfHwJHZKcVSUqtnr4zBQUyH7bKDlmemrZrAtfzuJeHm9nbPT2JE+tWz7D7JkWXy/PGvlit7dCL5eNfDG8te65JvN2i5mXY6GLp++Oj++EQ5JTcSqW5wsdXo+F9q5S+LFGDtoN59l4K1WQ3i8Z2OCikq89gu+3OqEuRPTw0vuXl9vd7HsPKFzXer8IEFarrLe87SqD5XB4eqbPO193T7jm6y1IDYxRmK3izDZMkOTeWhNkMdStb7SsXRo+G1T3HEvDIORTcF1gqTx8TDrsvp+plE1SpKuM26KswQpSjfKOdlPD064wBalG/RJOKcTmfpfP6dN1jzYdPCgtWrRYBw7sVpcuoerff6j+8If3dV6Pngo5XSaV13tmqrJSVlXLaqtVg0Ne1y4aYK3W6apq7+voISBKvh/9sVq9jKv08TxXB2YxPP387TmmrKxMkZGRKi0t7RB9qG9f69TQiUna9qpTQyY0vILTGl1c+pxnS3dtGuDzAb4WF3CPPa3QD+l3z014b41wflji/XmizqyRHvoa6wo6sCDoo6emxrZ9C/fiFdB3N9DPaFM6YglgHQOuToDfi+3bpaFDVbc/rH+V30c9felI3WcH2gvo9r8XaOiNMdqmId5vBesIvdA1RQv3kulzsuZ8730JqCvBRqbzojmfX+9d0Z9pwdq2oeHDia1wzG4vX31VqePH8xQXlyCr1T0MtfRz+3W/x2qottbicXxQkKEBAywel1l1olqnqzz3ehdiDZa1m+cA4rU361PVCtn3f7IaXm7LbaEfh22u8mMn5cwLU1LCSXU9v+HjGa2hsrJSeXl5SkhIkO17vxXlTzagZagdeLvq3nrzvED+3J7TpIX5aOKouzXLvyuWjbWaeN0hBzyhj7o0cuXKZ49anZ3DIcfuTXIE8H63+Oe+FbZ9Uxbp9ywDrWdTmhID+XwHWp2mPA/3VVcl1TsWuy7ge3jWKlDtsOm9bnxfrfaB3hYtqeOdhfoS4Je7Tb9PzdHCO6/mrIL3qpy5LdxbC7TXLi0DO2a3l9jYusbU8PCGv5Ha0nzdDiZJISGeg5AkWbuFytotsGV6nmeo9MN+pvndn7ZGy1AraKxlCAA6k87yA7AtjfcFbcYkHzZvrQDoGGgZAgCYUru01JwDeF/QZviwAQEjDAEAmq01bv/tDHhf0Gb4sAEB8fzEJwAAAAB0crQMAQAA4JwWaI+lgQjkrsNRo0YpOTlZy5Yta5U6TZkyRSUlJdqwYUOrzL897N+/XwkJCdqxY4eSk5NbbTmEIQAAAJyzmvJLBC2pk/RHgTMIQwAAADhnFRf77D28RZ3tMr+4uPOHoerqaoWG+vljtecgnhkCAADAOS8pqe43Z1vz1Zywdfr0ac2YMUORkZGy2+2aM2eOzv7CzSuvvKJhw4ape/fuio6O1i9+8QsdOXLEbfpdu3bpxhtvVEREhLp3764RI0Zo3759Hpf18ccfq1evXlq4cKFr2JNPPqnevXure/fu+uUvf6lHHnnE7fazKVOmaMyYMXrqqacUGxurxMRESdJnn32mn/zkJwoLC9P555+vu+++WydOnHBNN2rUKM2cOdNt+WPGjNGUKVNcf8fHx+t3v/ud7rzzTnXv3l0Oh0MvvPCC2zRbt27VpZdeKpvNpmHDhmnHDg8/SN0KCEMAAABAK1uzZo1CQkK0detW/f73v9eSJUv00ksvSZJOnTqlefPm6T//+Y82bNig/fv3u4WJQ4cO6aqrrpLVatXmzZu1bds23XnnnTrt4YdYN2/erGuuuUZPPfWUHn74YUnS2rVr9dRTT2nhwoXatm2bHA6Hnn/++QbTZmdna/fu3dq0aZPefvttlZeXKz09XT179tTHH3+sN954Q++++65mzJjh9/o/88wzrpBz7733avr06dq9e7ck6cSJE7rxxht1ySWXaNu2bXr88cf14IMP+r2MQHCbHAAAANDK4uLitHTpUlksFiUmJuqzzz7T0qVLNW3aNN15552ucn369NHy5ct12WWX6cSJE+rWrZtWrFihyMhIrVu3Tl26dJEkXXzxxQ2W8dZbb2nSpEl66aWXNHbsWNfwZ599VnfddZemTp0qSZo7d67+8Y9/uLXwSFLXrl310ksvuW6Pe/HFF1VZWamXX35ZXbt2lSQ999xzuummm7Rw4UJFRUU1ef2vv/563XvvvZKkhx9+WEuXLtV7772nxMREvfbaa6qtrdUf//hH2Ww2DRgwQF9//bWmT5/e5PkHipYhAAAAoJX96Ec/ksVicf2dmpqqPXv2qKamRtu2bdNNN90kh8Oh7t27a+TIkZKk/Px8SdLOnTs1YsQIVxDyZMuWLbr99tv1yiuvuAUhSdq9e7eGDx/uNqz+35I0cOBAt+eEnE6nBg8e7ApCknTFFVeotrbW1arTVIMGDXL932KxKDo62nUroNPp1KBBg2Sz2VxlUlNT/Zp/oAhDAAAAQDuprKxUenq6IiIitHbtWn388cd66623JNV1YiBJYWFhjc6nb9++6t+/v1atWqVTp04FVJfvh56mCgoKcj37dJan5dcPchaLRbW1tX4vr6URhgAAAIBWtmXLFre/P/roI/Xr109ffvmljh07pgULFmjEiBHq379/g84TBg0apPfff99nyLHb7dq8ebP27t2rn//8525lExMT9fHHH7uVr/+3J0lJSfrPf/6j8vJy17APPvhAQUFBrg4WevXqpYKCAtf4mpoaff75543Ou/5yPv30U1VWVrqGffTRR37NI1CEIQAAAKCV5efnKyMjQ7t379brr7+uZ599Vvfff78cDodCQ0P17LPP6quvvtLf/vY3zZs3z23aGTNmqKysTOPGjdMnn3yiPXv26JVXXmlwq1rv3r21efNmffnllxo/fryrg4X77rtPf/zjH7VmzRrt2bNHTz75pD799FO32/Y8mTBhgmw2myZPnqzPP/9c7733nu677z7dcccdrueFfvKTn+jvf/+7sv7xv9q//0vd/+CvVVJS4td784tf/EIWi0XTpk3TF198oY0bN2rx4sV+zSNQdKAAAACAc57T2bGXMWnSJJ08eVLDhw9XcHCw7r//ft19992yWCxavXq1Hn30US1fvlxDhgzR4sWL9dOf/tQ17fnnn6/Nmzdr1qxZGjlypIKDg5WcnKwrrriiwXKio6O1efNmjRo1ShMmTNBrr72mCRMm6KuvvtKDDz6oyspK/fznP9eUKVO0detWn3UODw/XO++8o/vvv1+XXXaZwsPDdeutt2rJkiWuMnfeeaf+85//6O5fTZMsIbr/VzP04x//2K/3plu3bvqf//kf3XPPPbr00kt1ySWXaOHChbr11lv9mk8gLEb9m/zOQWVlZYqMjFRpaakiIiLauzravtapoROTtO1Vp4ZMaOVf/wIAADCByspK5eXlKSEhwe1B+/z8ut//qahom3qEh9eFonP9R1evueYaRUdH65VXXmmR+ZUfOylnXpiSEk6q6/mNP+PUErx9JvzJBrQMAQAA4JzlcNSFk+Litlme3X7uBaGKigqtXLlS6enpCg4O1uuvv653331XmzZtau+qtTvCEAAAAM5pDse5F1DaksVi0caNG/XUU0+psrJSiYmJ+u///m+lpaW1d9XaHWEIAAAA6MTCwsL07rvvtnc1OiR6kwMAAABgSoQhAAAAAKZEGAIAAMA5o7a2tr2rgA6iJT4LPDMEAACADi80NFRBQUE6fPiwevXqpdDQ0EZ/NBRtp6q6SpJFVdVVCq5s3e1iGIaqq6t19OhRBQUFKTQ0NOB5EYYAAADQ4QUFBSkhIUEFBQU6fPhwe1cH9VSXn1JxcRd10SmFlnRpk2WGh4fL4XAoKCjwm90IQwAAADgnhIaGyuFw6PTp06qpqWnv6uB7dv3PPt0zK0H//fQ+Jd6U0OrLCw4OVkhISLNbBwlDAAAAOGdYLBZ16dJFXbq0TesDmsZSHaQDB2yyVAfJZrO1d3WajA4UAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJhSQGFoxYoVio+Pl81mU0pKirZu3eq17IsvvqgRI0aoZ8+e6tmzp9LS0hqUnzJliiwWi9tr9OjRgVQNAAAAAJrE7zC0fv16ZWRkKDMzU9u3b9fgwYOVnp6uI0eOeCyfk5Oj8ePH67333lNubq7i4uJ07bXX6tChQ27lRo8erYKCAtfr9ddfD2yNAAAAAKAJ/A5DS5Ys0bRp0zR16lRdcsklWrlypcLDw7Vq1SqP5deuXat7771XycnJ6t+/v1566SXV1tYqOzvbrZzValV0dLTr1bNnz8DWCAAAAACawK8wVF1drW3btiktLe27GQQFKS0tTbm5uU2aR0VFhU6dOqXzzjvPbXhOTo569+6txMRETZ8+XceOHfM6j6qqKpWVlbm9AAAAAMAffoWh4uJi1dTUKCoqym14VFSUCgsLmzSPhx9+WLGxsW6BavTo0Xr55ZeVnZ2thQsX6p///Keuu+461dTUeJzH/PnzFRkZ6XrFxcX5sxoAAAAAoJC2XNiCBQu0bt065eTkyGazuYaPGzfO9f+BAwdq0KBB6tu3r3JycnT11Vc3mM/s2bOVkZHh+rusrIxABAAAAMAvfrUM2e12BQcHq6ioyG14UVGRoqOjfU67ePFiLViwQP/4xz80aNAgn2X79Okju92uvXv3ehxvtVoVERHh9gIAAAAAf/gVhkJDQzV06FC3zg/OdoaQmprqdbpFixZp3rx5ysrK0rBhwxpdztdff61jx44pJibGn+oBAAAAQJP53ZtcRkaGXnzxRa1Zs0ZOp1PTp09XeXm5pk6dKkmaNGmSZs+e7Sq/cOFCzZkzR6tWrVJ8fLwKCwtVWFioEydOSJJOnDihWbNm6aOPPtL+/fuVnZ2tm2++WRdddJHS09NbaDUBAAAAwJ3fzwyNHTtWR48e1dy5c1VYWKjk5GRlZWW5OlXIz89XUNB3Gev5559XdXW1brvtNrf5ZGZm6vHHH1dwcLA+/fRTrVmzRiUlJYqNjdW1116refPmyWq1NnP1AAAAAMCzgDpQmDFjhmbMmOFxXE5Ojtvf+/fv9zmvsLAwvfPOO4FUAwAAAAAC5vdtcgAAAADQGRCGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKQUUhlasWKH4+HjZbDalpKRo69atXsu++OKLGjFihHr27KmePXsqLS2tQXnDMDR37lzFxMQoLCxMaWlp2rNnTyBVAwAAAIAm8TsMrV+/XhkZGcrMzNT27ds1ePBgpaen68iRIx7L5+TkaPz48XrvvfeUm5uruLg4XXvttTp06JCrzKJFi7R8+XKtXLlSW7ZsUdeuXZWenq7KysrA1wwAAAAAfPA7DC1ZskTTpk3T1KlTdckll2jlypUKDw/XqlWrPJZfu3at7r33XiUnJ6t///566aWXVFtbq+zsbEl1rULLli3TY489pptvvlmDBg3Syy+/rMOHD2vDhg3NWjkAAAAA8MavMFRdXa1t27YpLS3tuxkEBSktLU25ublNmkdFRYVOnTql8847T5KUl5enwsJCt3lGRkYqJSXF6zyrqqpUVlbm9gIAAAAAf/gVhoqLi1VTU6OoqCi34VFRUSosLGzSPB5++GHFxsa6ws/Z6fyZ5/z58xUZGel6xcXF+bMaAAAAANC2vcktWLBA69at01tvvSWbzRbwfGbPnq3S0lLX6+DBgy1YSwAAAABmEOJPYbvdruDgYBUVFbkNLyoqUnR0tM9pFy9erAULFujdd9/VoEGDXMPPTldUVKSYmBi3eSYnJ3ucl9VqldVq9afqAAAAAODGr5ah0NBQDR061NX5gSRXZwipqalep1u0aJHmzZunrKwsDRs2zG1cQkKCoqOj3eZZVlamLVu2+JwnAAAAADSHXy1DkpSRkaHJkydr2LBhGj58uJYtW6by8nJNnTpVkjRp0iRdcMEFmj9/viRp4cKFmjt3rl577TXFx8e7ngPq1q2bunXrJovFopkzZ+rJJ59Uv379lJCQoDlz5ig2NlZjxoxpuTUFAAAAgO/xOwyNHTtWR48e1dy5c1VYWKjk5GRlZWW5OkDIz89XUNB3DU7PP/+8qqurddttt7nNJzMzU48//rgk6aGHHlJ5ebnuvvtulZSU6Morr1RWVlaznisCAAAAAF/8DkOSNGPGDM2YMcPjuJycHLe/9+/f3+j8LBaLfvvb3+q3v/1tINUBAAAAAL+1aW9yAAAAANBREIYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmBJhCAAAAIApEYYAAAAAmFJAYWjFihWKj4+XzWZTSkqKtm7d6rXsrl27dOuttyo+Pl4Wi0XLli1rUObxxx+XxWJxe/Xv3z+QqgEAAABAk/gdhtavX6+MjAxlZmZq+/btGjx4sNLT03XkyBGP5SsqKtSnTx8tWLBA0dHRXuc7YMAAFRQUuF7//ve//a0aAAAAADSZ32FoyZIlmjZtmqZOnapLLrlEK1euVHh4uFatWuWx/GWXXaann35a48aNk9Vq9TrfkJAQRUdHu152u93fqgEAAABAk/kVhqqrq7Vt2zalpaV9N4OgIKWlpSk3N7dZFdmzZ49iY2PVp08fTZgwQfn5+V7LVlVVqayszO0FAAAAAP7wKwwVFxerpqZGUVFRbsOjoqJUWFgYcCVSUlK0evVqZWVl6fnnn1deXp5GjBih48ePeyw/f/58RUZGul5xcXEBLxsAAACAOXWI3uSuu+463X777Ro0aJDS09O1ceNGlZSU6M9//rPH8rNnz1ZpaanrdfDgwTauMQAAAIBzXYg/he12u4KDg1VUVOQ2vKioyGfnCP7q0aOHLr74Yu3du9fjeKvV6vP5IwAAAABojF8tQ6GhoRo6dKiys7Ndw2pra5Wdna3U1NQWq9SJEye0b98+xcTEtNg8AQAAAOD7/GoZkqSMjAxNnjxZw4YN0/Dhw7Vs2TKVl5dr6tSpkqRJkybpggsu0Pz58yXVdbrwxRdfuP5/6NAh7dy5U926ddNFF10kSXrwwQd100036cILL9Thw4eVmZmp4OBgjR8/vqXWEwAAAADc+B2Gxo4dq6NHj2ru3LkqLCxUcnKysrKyXJ0q5OfnKyjouwanw4cP69JLL3X9vXjxYi1evFgjR45UTk6OJOnrr7/W+PHjdezYMfXq1UtXXnmlPvroI/Xq1auZqwcAAAAAnvkdhiRpxowZmjFjhsdxZwPOWfHx8TIMw+f81q1bF0g1AAAAACBgHaI3OQAAAABoa4QhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSoQhAAAAAKZEGAIAAABgSgGFoRUrVig+Pl42m00pKSnaunWr17K7du3Srbfeqvj4eFksFi1btqzZ8wQAAACA5vI7DK1fv14ZGRnKzMzU9u3bNXjwYKWnp+vIkSMey1dUVKhPnz5asGCBoqOjW2SeAAAAANBcfoehJUuWaNq0aZo6daouueQSrVy5UuHh4Vq1apXH8pdddpmefvppjRs3TlartUXmCQAAAADN5VcYqq6u1rZt25SWlvbdDIKClJaWptzc3IAqEMg8q6qqVFZW5vYCAAAAAH/4FYaKi4tVU1OjqKgot+FRUVEqLCwMqAKBzHP+/PmKjIx0veLi4gJaNgAAAADzOid7k5s9e7ZKS0tdr4MHD7Z3lQAAAACcY0L8KWy32xUcHKyioiK34UVFRV47R2iNeVqtVq/PHwEAAABAU/jVMhQaGqqhQ4cqOzvbNay2tlbZ2dlKTU0NqAKtMU8AAAAAaIxfLUOSlJGRocmTJ2vYsGEaPny4li1bpvLyck2dOlWSNGnSJF1wwQWaP3++pLoOEr744gvX/w8dOqSdO3eqW7duuuiii5o0TwAAAABoaX6HobFjx+ro0aOaO3euCgsLlZycrKysLFcHCPn5+QoK+q7B6fDhw7r00ktdfy9evFiLFy/WyJEjlZOT06R5AgAAAEBL8zsMSdKMGTM0Y8YMj+POBpyz4uPjZRhGs+YJAAAAAC3tnOxNDgAAAACaizAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQIQwAAAABMiTAEAAAAwJQCCkMrVqxQfHy8bDabUlJStHXrVp/l33jjDfXv3182m00DBw7Uxo0b3cZPmTJFFovF7TV69OhAqgYAAAAATeJ3GFq/fr0yMjKUmZmp7du3a/DgwUpPT9eRI0c8lv/www81fvx43XXXXdqxY4fGjBmjMWPG6PPPP3crN3r0aBUUFLher7/+emBrBAAAAABN4HcYWrJkiaZNm6apU6fqkksu0cqVKxUeHq5Vq1Z5LP/73/9eo0eP1qxZs5SUlKR58+ZpyJAheu6559zKWa1WRUdHu149e/YMbI0AAAAAoAn8CkPV1dXatm2b0tLSvptBUJDS0tKUm5vrcZrc3Fy38pKUnp7eoHxOTo569+6txMRETZ8+XceOHfNaj6qqKpWVlbm9AAAAAMAffoWh4uJi1dTUKCoqym14VFSUCgsLPU5TWFjYaPnRo0fr5ZdfVnZ2thYuXKh//vOfuu6661RTU+NxnvPnz1dkZKTrFRcX589qAAAAAIBC2rsCkjRu3DjX/wcOHKhBgwapb9++ysnJ0dVXX92g/OzZs5WRkeH6u6ysjEAEAAAAwC9+tQzZ7XYFBwerqKjIbXhRUZGio6M9ThMdHe1XeUnq06eP7Ha79u7d63G81WpVRESE2wsAAAAA/OFXGAoNDdXQoUOVnZ3tGlZbW6vs7GylpqZ6nCY1NdWtvCRt2rTJa3lJ+vrrr3Xs2DHFxMT4Uz0AAAAAaDK/e5PLyMjQiy++qDVr1sjpdGr69OkqLy/X1KlTJUmTJk3S7NmzXeXvv/9+ZWVl6ZlnntGXX36pxx9/XJ988olmzJghSTpx4oRmzZqljz76SPv371d2drZuvvlmXXTRRUpPT2+h1QQAAAAAd34/MzR27FgdPXpUc+fOVWFhoZKTk5WVleXqJCE/P19BQd9lrMsvv1yvvfaaHnvsMT366KPq16+fNmzYoB/+8IeSpODgYH366adas2aNSkpKFBsbq2uvvVbz5s2T1WptodUEAAAAAHcBdaAwY8YMV8tOfTk5OQ2G3X777br99ts9lg8LC9M777wTSDUAAAAAIGB+3yYHAAAAAJ0BYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKRGGAAAAAJgSYQgAAACAKQUUhlasWKH4+HjZbDalpKRo69atPsu/8cYb6t+/v2w2mwYOHKiNGze6jTcMQ3PnzlVMTIzCwsKUlpamPXv2BFI1AAAAAGgSv8PQ+vXrlZGRoczMTG3fvl2DBw9Wenq6jhw54rH8hx9+qPHjx+uuu+7Sjh07NGbMGI0ZM0aff/65q8yiRYu0fPlyrVy5Ulu2bFHXrl2Vnp6uysrKwNcMAAAAAHywGIZh+DNBSkqKLrvsMj333HOSpNraWsXFxem+++7TI4880qD82LFjVV5errfffts17Ec/+pGSk5O1cuVKGYah2NhYPfDAA3rwwQclSaWlpYqKitLq1as1bty4BvOsqqpSVVWV6+/S0lI5HA4dPHhQERER/qxOq9i5frdG3p2of76wW8ljE9u7OgAAAECr6kjnv2VlZYqLi1NJSYkiIyN9Fzb8UFVVZQQHBxtvvfWW2/BJkyYZP/3pTz1OExcXZyxdutRt2Ny5c41BgwYZhmEY+/btMyQZO3bscCtz1VVXGb/+9a89zjMzM9OQxIsXL168ePHixYsXL14eXwcPHmw034TID8XFxaqpqVFUVJTb8KioKH355ZcepyksLPRYvrCw0DX+7DBvZeqbPXu2MjIyXH/X1tbqm2++0fnnny+LxeLPKqGes0m6o7SyoQ7bpeNhm3RMbJeOh23SMbFdOia2S8swDEPHjx9XbGxso2X9CkMdhdVqldVqdRvWo0eP9qlMJxUREcGXsANiu3Q8bJOOie3S8bBNOia2S8fEdmm+Rm+PO8OvDhTsdruCg4NVVFTkNryoqEjR0dEep4mOjvZZ/uy//swTAAAAAJrLrzAUGhqqoUOHKjs72zWstrZW2dnZSk1N9ThNamqqW3lJ2rRpk6t8QkKCoqOj3cqUlZVpy5YtXucJAAAAAM3l921yGRkZmjx5soYNG6bhw4dr2bJlKi8v19SpUyVJkyZN0gUXXKD58+dLku6//36NHDlSzzzzjG644QatW7dOn3zyiV544QVJksVi0cyZM/Xkk0+qX79+SkhI0Jw5cxQbG6sxY8a03JqiSaxWqzIzMxvchoj2xXbpeNgmHRPbpeNhm3RMbJeOie3S9vzuWluSnnvuOT399NMqLCxUcnKyli9frpSUFEnSqFGjFB8fr9WrV7vKv/HGG3rssce0f/9+9evXT4sWLdL111/vGm8YhjIzM/XCCy+opKREV155pf7f//t/uvjii5u/hgAAAADgQUBhCAAAAADOdX49MwQAAAAAnQVhCAAAAIApEYYAAAAAmBJhCAAAAIApEYagp556SpdffrnCw8PVo0ePJk0zZcoUWSwWt9fo0aNbt6ImEsg2MQxDc+fOVUxMjMLCwpSWlqY9e/a0bkVN5ptvvtGECRMUERGhHj166K677tKJEyd8TjNq1KgG35V77rmnjWrcOa1YsULx8fGy2WxKSUnR1q1bfZZ/44031L9/f9lsNg0cOFAbN25so5qahz/bZPXq1Q2+EzabrQ1raw7/+te/dNNNNyk2NlYWi0UbNmxodJqcnBwNGTJEVqtVF110kVvPwGg+f7dJTk5Og++KxWJRYWFh21TYJAhDUHV1tW6//XZNnz7dr+lGjx6tgoIC1+v1119vpRqaTyDbZNGiRVq+fLlWrlypLVu2qGvXrkpPT1dlZWUr1tRcJkyYoF27dmnTpk16++239a9//Ut33313o9NNmzbN7buyaNGiNqht57R+/XplZGQoMzNT27dv1+DBg5Wenq4jR454LP/hhx9q/Pjxuuuuu7Rjxw6NGTNGY8aM0eeff97GNe+8/N0mkhQREeH2nThw4EAb1tgcysvLNXjwYK1YsaJJ5fPy8nTDDTfoxz/+sXbu3KmZM2fql7/8pd55551Wrql5+LtNztq9e7fb96V3796tVEOTMoAz/vSnPxmRkZFNKjt58mTj5ptvbtX6oOnbpLa21oiOjjaefvpp17CSkhLDarUar7/+eivW0Dy++OILQ5Lx8ccfu4b97//+r2GxWIxDhw55nW7kyJHG/fff3wY1NIfhw4cbv/rVr1x/19TUGLGxscb8+fM9lv/5z39u3HDDDW7DUlJSjP/6r/9q1Xqaib/bxJ9jDVqGJOOtt97yWeahhx4yBgwY4DZs7NixRnp6eivWzLyask3ee+89Q5Lx7bfftkmdzIqWIQQsJydHvXv3VmJioqZPn65jx461d5VMKy8vT4WFhUpLS3MNi4yMVEpKinJzc9uxZp1Hbm6uevTooWHDhrmGpaWlKSgoSFu2bPE57dq1a2W32/XDH/5Qs2fPVkVFRWtXt1Oqrq7Wtm3b3D7nQUFBSktL8/o5z83NdSsvSenp6XwvWkgg20SSTpw4oQsvvFBxcXG6+eabtWvXrraoLnzgu9JxJScnKyYmRtdcc40++OCD9q5OpxPS3hXAuWn06NG65ZZblJCQoH379unRRx/Vddddp9zcXAUHB7d39Uzn7P3DUVFRbsOjoqK4t7iFFBYWNrg1ISQkROedd57P9/gXv/iFLrzwQsXGxurTTz/Vww8/rN27d+vNN99s7Sp3OsXFxaqpqfH4Of/yyy89TlNYWMj3ohUFsk0SExO1atUqDRo0SKWlpVq8eLEuv/xy7dq1Sz/4wQ/aotrwwNt3paysTCdPnlRYWFg71cy8YmJitHLlSg0bNkxVVVV66aWXNGrUKG3ZskVDhgxp7+p1GoShTuqRRx7RwoULfZZxOp3q379/QPMfN26c6/8DBw7UoEGD1LdvX+Xk5Ojqq68OaJ6dXWtvEwSmqdslUN9/pmjgwIGKiYnR1VdfrX379qlv374Bzxc4V6Wmpio1NdX19+WXX66kpCT94Q9/0Lx589qxZkDHkpiYqMTERNffl19+ufbt26elS5fqlVdeaceadS6EoU7qgQce0JQpU3yW6dOnT4str0+fPrLb7dq7dy9hyIvW3CbR0dGSpKKiIsXExLiGFxUVKTk5OaB5mkVTt0t0dHSDB8JPnz6tb775xvX+N0VKSookae/evYQhP9ntdgUHB6uoqMhteFFRkddtEB0d7Vd5+CeQbVJfly5ddOmll2rv3r2tUUU0kbfvSkREBK1CHcjw4cP173//u72r0akQhjqpXr16qVevXm22vK+//lrHjh1zOxGHu9bcJgkJCYqOjlZ2drYr/JSVlWnLli1+9xJoNk3dLqmpqSopKdG2bds0dOhQSdLmzZtVW1vrCjhNsXPnTkniuxKA0NBQDR06VNnZ2RozZowkqba2VtnZ2ZoxY4bHaVJTU5Wdna2ZM2e6hm3atMmtZQKBC2Sb1FdTU6PPPvtM119/fSvWFI1JTU1t0O0835WOZ+fOnRw/Wlp79+CA9nfgwAFjx44dxhNPPGF069bN2LFjh7Fjxw7j+PHjrjKJiYnGm2++aRiGYRw/ftx48MEHjdzcXCMvL8949913jSFDhhj9+vUzKisr22s1OhV/t4lhGMaCBQuMHj16GH/961+NTz/91Lj55puNhIQE4+TJk+2xCp3S6NGjjUsvvdTYsmWL8e9//9vo16+fMX78eNf4r7/+2khMTDS2bNliGIZh7N271/jtb39rfPLJJ0ZeXp7x17/+1ejTp49x1VVXtdcqnPPWrVtnWK1WY/Xq1cYXX3xh3H333UaPHj2MwsJCwzAM44477jAeeeQRV/kPPvjACAkJMRYvXmw4nU4jMzPT6NKli/HZZ5+11yp0Ov5ukyeeeMJ45513jH379hnbtm0zxo0bZ9hsNmPXrl3ttQqd0vHjx13HDknGkiVLjB07dhgHDhwwDMMwHnnkEeOOO+5wlf/qq6+M8PBwY9asWYbT6TRWrFhhBAcHG1lZWe21Cp2Ov9tk6dKlxoYNG4w9e/YYn332mXH//fcbQUFBxrvvvtteq9ApEYZgTJ482ZDU4PXee++5ykgy/vSnPxmGYRgVFRXGtddea/Tq1cvo0qWLceGFFxrTpk1zHfjQfP5uE8Oo6157zpw5RlRUlGG1Wo2rr77a2L17d9tXvhM7duyYMX78eKNbt25GRESEMXXqVLeAmpeX57ad8vPzjauuuso477zzDKvValx00UXGrFmzjNLS0nZag87h2WefNRwOhxEaGmoMHz7c+Oijj1zjRo4caUyePNmt/J///Gfj4osvNkJDQ40BAwYYf//739u4xp2fP9tk5syZrrJRUVHG9ddfb2zfvr0dat25ne2Wuf7r7LaYPHmyMXLkyAbTJCcnG6GhoUafPn3cjjFoPn+3ycKFC42+ffsaNpvNOO+884xRo0YZmzdvbp/Kd2IWwzCMNmuGAgAAAIAOgt8ZAgAAAGBKhCEAAAAApkQYAgAAAGBKhCEAAAAApkQYAgAAAGBKhCEAAAAApkQYAgAAAGBKhCEAAAAApkQYAgAAAGBKhCEAAAAApkQYAgAAAGBK/z8tSE+I6H3bGgAAAABJRU5ErkJggg==\n", 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Xr5w89u5VBeFe3gke7PbL1Rl1caYu0tSJVV88+SG4eHJS9fK6p3S1tbksFy5G+u9Cs+yb8mSah70ohk3BptuLtBArWfCzCq+XpK5kSk9JkWyP14vufHHXcT2mkIMjRyRh5kRJSfLsxG6TlydZF+pL3tw3Si9Gyt8EUMesGtC7s597agkUZ6W3CQmSFd9K8kYtcPqShPjzknJwp3ftzHwtKfe5WmJmwHrlDGaJvk+Fuu6+8H0M5Z7kmS1bHDs9qrAzoQB9QavvCR12OntZIqrGrHz9dZ8GZ3fOes1Q0+vXqZzzyV8uy49al9u3C4tL29SUr5cXFSUSE+NbSPCk4ZPFIv6qsScFFyX6yCGJi2nh+MKY2NKf+oWXQ7aqnzcIQ6ZUlwnyIKB+/XMVNShSgUf13v7oI66rvji7E+xjwExJuiSZUsFdLR+beDjb9Pr6u8ZlGTXKWagp/V3mt5GO/Rl8nSMXLibJGhmpq444vWDqsNO7bZiTJAnxrSTFxR1bfYGWk+RQYnZy79UyzF01GxefIaB8KS10d5EWaiULfuZRqcLcFZJSvhTD3XrJypKU29Ikxcc70s5KZ2372swAVOkKEVmSImkRmXJBXHwnFJyXzK8PV/0NBk+q+rnaGCHWK6ezfa3S+dnZF76v1dLcHJ/W4TAGDnT5Rtx2D69LXJzUggjIJURFJaIzZjgtynD3+a0lQ6mNC6RGXLnAUFgoRd+flJLGySJxjjUmVH6JvXLtX9ZXGcXy8/HR8vXhWnIp1kWbGkuJX9vUVNShgdPX+Fxj77KIFElRUZHEumpoFV9DpJr0OE4Yqu48qW7g7HZRRd0ru/pzOTFSs0Y71xfulakLXFFIdNrg/0rgcXYnOBB3tQIgRbIk09JP8px866hQNuriWknfmidpfewvKjIzSu+Eps0dKZ29aGfmfpdJkpo1MiXz/32jQ6FDff2ftpMLQ5xt+5a6JOp9GSAN5KTTz6DCW0pKUgj0pFdBaaGri7RQLVnwUtY+5yU1pVUrU92XKjgrxXC3XnzsOcV96eyVfW3JIWnQq6WniwwrerVdjAydrr4raOua+dASkd7XOO9RLCU4PYrZqKviLzy/CVJhTYAalyUh5xuRLy6FRLVZV6dJlyWw6ncf/1dGLe8t6RlXSVpSiIwr6K49q5ef/3x+kcTFxUqaHJZa5doF6bRSV1Xriij9v5eXzypgpaXaB6yCwkjdpuZcYZQUX6lRppSUqGBWLA899IisX79GoqKi5KGHHpK5c+dKRESErNmwQRYvWCAHs7OlVq1acsstt8jixYulYcOGtg4NDu36VpYseUIOHEgXi8UirVpdL7NmrZKUJu2kqDhC/43zV5rxZGTsl7vuGiQ//elkmTt3hi79mT//N7J8+YtSUHBR7r57hDRokCA7d74vBw4c0K8ZO3as5OfnS/dOnWTJSy9JbM2acvTYMfn6669l8uTJsm/fPqlZs6b07Xu3rFixUGrVukq/7qabbtLV2BY/95zt8955551St25d2/ijzZo1kwkTJsg///lPeeONN6RevXry9NNP62lWn332mTz44IOSmZkp7du3lxkq/AYBYaiacF1XOEUSdn3nvC6/29tFFXSv7IL6PsxUpQNLXhWpV8/hYkqfpAPUMZa6qHacVgWNt336g27CZ2ampBR8JylOrnwS0o9JzSnnZdSUBNdV4Toli3gxGGTFNVQiJS+pg6SUO+GoO4cXLrq5ri3Ml5S4ef4tUfGlkrwnPelVl+qoLm5mqJ6eVAPn8k5+kyvDxtSVC+L8AlXvT4Vq/V1bpaXh7kpn1WdOGDVAUnq9We07AAmJrr7d1E9SvbepEgd1oS3Lq7ih/JUbHJkz14rMzHRy7nB+E8TtvpaTIwn33CQpQ77zf7VZZ6HN14BVQQmsbTu5qfrt73EFg0olBKXxtSJ1ov3a4L9G3XipVb/c4gpFIk9c6ZOhjNL7Pq/J0KHjJD39U/nqq891EGjatKk88MADuhRm7oMPSutbb5Xcc+fk8ccf1+Fk27ZtuqOGE7kn5KGJfaVP35vkvfc+kKuvri2ffPKxNGlYmn7OnIuSc+dKt8v+/bvlV7+6Ux5+eJ4MHz5Rl/5s2rRW/vCH52TZsmXSu3dv2bBhgyxYsEC3ySnrL3/5i9SuWVN2vvSSWFJT5cKFCzJw4EDp0aOH/O1vf5Njx3JlwoTx8stfPiJr1pQGHU+pv6fC3/Tp02XTpk06DPbt21fatGkj58+flyFDhugQuGbNGjly5IgOYMFAGAoQl92QWi+ynX7R+XZnueK6wtdKZua1zr+sXF71uule2Z2TJyVl2DBJebR30NpUeFL45awmRkAab/v8Rj0Y28dJ1+k6fKoT9dwVDu0jfG5zUckaKq6va691fhFd0X7vKvCcPClZdz4meQW1fGo34e7Oo7u3FBYlC25Kv9R3k+5xy+kLG5aWqjzxgTS4Lsn5/hSn9qcg3833qnRWfV+Vb7dUddWh/N4ldYCriDr9/O5uDrkp3dPfT4X5kufQAtv3tpD2n0E8L+HpoEq1L+tSaGd0CU+HJO/2tS9yRAq+82vbH1sgm/m0yEwfejx01T7LTQmsu+0UNt95noiLFalVI/B/Jq60/4Dy7XTUabxJk2R5/PFF0rx5hHTo0FqXuCxatEiHoV+MGVO6rVJTpXmtWvLiiy9Kt27d5Ny5cxIhUfLGG0ulTp3asmnTBolRbY9E5PrrW+m6cIV/z5S6ki8Rclb+9eFL8utZT8mL02bJ8AE3SrTlG4mTlrJkyRIZN26c/PznP9evfeaZZ2THjh16+WWpUqk/Ll0qsf/6l95f/m/tWrl48aKsXr1a/06dOp944iWZOvUOWbBgvjRq1MjjdTN48GCZNGmS/v+TTz6pP/vu3bt1GFq7dq2UlJTIn/70J1361K5dO/n3v/+tA1OgEYYCwH33nlcusmdOFJmZ7X0deRft1n1tfF/6Nej4LZdZme6Vg9ymwl1Jhrsvcrevs95dzp/npPpDxVcxzmdxU0pXUfh09SESEiSl5ilJmXm7VMsGEllZktW6n9PAc1IayDD5Qvce5a92ExUFa4/uZvtwR9eXsVHcclP6pQZBVO1pnPYMZt3vR6hSlXLvV30m9Z3l5UVoQPnQkYcrHlWHSnBe/deVgHZJ7eeQ7L50wIObQy7ugjg/w/heg1u1W5R41SmOY+cRbkt41Pf9t5FuzhOVaLPox7Y/tlJpZ+cCd+fQSo5F6Go7BfkwrND3kiRFlyL0NY+1wMfaLsj601pNrGy1tWBTgah8YZNqf9S9ew9dJc6qZ8+eurREhYCvvvxSnp02TQ4cOSL//eEHuXyloU9WVpY0bZQq3313QHr16G0LQmX/WFz7lhJd9yr5/PNP5L2PPpQ3/vxnuesnP7Hr0ODgwYO2IGLVrUsX+eCvf/3fSisulg5t20psmUZGqspax44ddRCy6tixt35/Bw4clB//uJHeFpcuiZyvYDDa6667zvZ/tR4SExMlNzfX7u+oIFR2/QQDYSgAKuyGVFcXcnG33qd2HK6/5zy5uHPF5xN1FbSp8LUkw+XrEmqJ1DzldXFTxdvpWtmy5VrH6ga+hk9fk2CYyPr6tKQVuAk8NS7L+1udVN/wsd1ERavTbbUQT+7oOunxMCv9WMVjo6TvcPwcnlSZcdOGx3nPYG5KVSos2fS+Z8agFwe7kdKhjmTGd3Zd0mg5LymiOhxJ8f5c8NDHkhbsNjPOQrmb8erclg5YQ7IPpcy+HGvuG/yrEPCxy+W6LeEJrT4Z3HN2LrCeQ73ctoE6FwTgMKywc5Qp8q4syvuPlLtFaauSpn461ngr7SY6Osp5b2uhoKCgQPr/5Cdya9fu8n/L/iQJjZvIv/+dJUOHDpDTp4ukoG6kxMW5KdVSHzo6Wlr86EdSPyFB/rRundx+990O3SqUDWKqRMmiDsCCgv/tW/n5UksFIbUiVe8K0dG6bVLZ16lahdanWVkR+qUFBZFy6pRFMo/8b0DWSyodlVM+yKnlWkOf+jtVhTAUQK67IXVRXSjYpR8VCPPr6MrxcYX7foIPQPisBioe38TF3dxKtJvweXW6u6PrpsfDPOkkF+QuWbPYSScY6Xm6PVjelLmSUtWDhLptTBbktlaBuAmQkqKrVab42J2zU1fCYdryR6Xzcv8MnOqXtjEuxqtzXTpwJST7uQjA3bHm+3kryL1SVsSPVeIrvuES3LEIK30YOlkPCXnHpKakuOwcpU3T/0rDay5Js+b2oUf1mma9/+NQC8ZdN9FB9tlnn5S+pSunqPT0T6RFi5aSkfGt5J06JWMeWSrXJDbTvb8dOPC5nufwYRUi4qRVy/ayfftqHTIcSoeuSEhIkC1btugODUaMGCGvv/qqWOds3bq17qBg9OjRpROKi+Xzf/yjdEVaV5rax1TSUc+vtKVq27atvPbaa7pNjyodUrPn538skZGRcuutrUTVkktJaSBFRTl6kFbVeURh0WX5+9//LjfffLPH60b9nT//+c+6Sl6NKwM7ffJJ6foKNMJQGPF76QcCsuJ8PcEbHT4DNb5JVXBTupc5d7NIudHYrWPfqCDk+BkTfKsyU3bZ3rT/CKcvk0C8F38v011ADlDr88q0jamSIoAw2NX8H1x8XGdu96eq6fzFp+3kZn+ydcK0abfjZ8nMlLozfiGFcSv0y8uOjWMdFLWGXJRaulvostR3bpGEguPHs2Xx4qly550PysGDX8iyZUtkypQFcvFiisTExMrG11+SqY+Mk4NHD8maNXP1a5o3V+fAi/LMT2+VTZteknvvvVemTZsmderU0WFBtStSQcdK9T73wQcf6CDys7FjZcNTT+mL/UcffVS3Teratav06tVLNv75z/LVoUPSvEWL/42HpAKQqs9XpkrcyJEjZdasWXL//ffLs88+KydPnpSpUx/Voap589L2Qv373yJTp06V3R++K5aYtrJsyR90r3TeuO+++3Tvcapdk+plTg24+vzzz0swEIYQdG4bKHs7OF+YCfsTPHxiO/eru53iw3WRl1Vm3N9dDUDnIHDPl7aXPnboEJC2MdW8Om5AuAsulVxnvvacGjIq2J9SVFtYp8MsXJQCyZFynbSVKlJhJ1YyP8gROeKkZkBELZHiGDWLX/h6WTJmzBi5dOmijBvXTXetPWnSozJ9+gRdXezll1bK7NnTdSDq3LmzLFjwvPzkJz/RQa9W/GWpVbemfLBtm/z6mWfkxhtv1K9X3VmrnuHKU21xVCC66cYbZeTMmbJu82Ydag4fPiy/+tWvdLW84cOGydghQ+Sz8t3elaPa8Gzfvl337HbDDTfo53fffbcsXLjQNs8vfvEL+fLLL2XCww+IRETL5Icf8apUSLnqqqvknXfekYkTJ0qnTp10SdH8+fP13wo0whCCpsIGyuoCbdQA520Wwr0jgGomIA1mvRz/wxNq/Izylwml04KrsteSTtd3XgOXd54rurvq7/YfQa8uZIAKvy+DPV6p6XdyfP3Sq0QQDoECusCpzP6k2qKU60EhoUaR1IyPklHPNJdg8XZ9q17TrFaudOxr/ucj75Gfd25Xus9cKZmxtaO50sHBde1VVbntTpdvHc/HKikpSQ5mZJTup6q0R50uZs7UD+sy+91yi/xIFT25WIZVhw4ddLhyRVXbU112/2HuAt1uSJVk1apv38ZJlfSUZx3fyEp1311+WjDaEhGGEDQejQ2yZp6P/awiGAJyMvakHryXDfNVw3R9IelqfBMVvJvXlmBeF/ly7ne/vhNKqzy98ZpIuQFwK7q7Wpmup0OiupDp35d8JYbNl56r7wUfm7WZXUCnPqAqJnGyAvQNoE1xkle/tUhsbNDeTjitbzVe0IoVK2TAgAG6VGn9a6/Jrs8+k53WcGQwwhBCa2wQLwdfRHAF5GR8peTCXXsab+vBp/S8VjL3qhHXs5y/T9WLV89rQ/7ObMXrW1V58nxA3SrpDzeA1YXM/b5EqH/p+dp1eCBuqlQb6oO/+67I2bMiyckO3caldIiWFDWWEJxSVfHUAK6/+c1vpLCwUFq3bCmb58+X27yszlYdEYYAeMXfJ+NKt6dxQYUdXwJPqN2Z9fvFT1XVtfFjdSEgqHw4CKukZ1ETNG5cWuW2fA8K1Ym1q7mKpnlJ9dC2a9eu/01QVe+oqqwRhgBUqXCr+hH2d2bDbYWHCW87OkD1R8+i8IrqyU2N7eOqQ4Mr4/7A/1irAKpc2AeMcMMK943X46J4cJffVWIiSVVrHIJwoKr9tWunx/9x6sq4P/A/whAAwC+C1Qwp6HwdF8VdQVtF1RUV6ksBTl1Wo5JWRyrsEHiCvi8QhgAAlVKtuvz167govi9To8oiYCc2NlYiIyPl+++/lwYNGujnqmMAuFBY+L+fV7rX9uh3PiosUsuM0D+jCgK7XVSX20VFRXoQWLVPqH3BV4QhAEClGNEMKRD1mqgrBXhFXfSmpqZKTk6ODkSogBqM1vrFHBPjOF6T+l2MGozWP73wFZ2/JHl5MRIjlyQ2v9zfCxA1CGxKSoreN3xFGELwVdu6NIC5uK4HEAyqBEBd/BYXF0tJmYFX4YQKjPfeK3LRybAGihq36d13S3vp84Nv3vmXTPx1qmz+w7+k9R3Oe4j1JzVeUnR0dKVLBwlDCJ5qX5cGAAAEmrr4jYmJ0Q+40by5yPbtQSu2jyiKlGPH4vXP+DDq+pwwhOAxoi4NAABAiKDYvkKEIQQXByUAAABChO+tjQAAAAAgjBGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMJJPYWjZsmWSmpoq8fHx0qVLF0lPT3c575YtW6Rfv37SoEEDqV27tvTs2VO2b99uN8+qVaskIiLC4VFQUODL2wMAAAAA/4ehjRs3ypQpU2TGjBmSkZEhffr0kUGDBklWVpbT+ffs2aPD0LZt22T//v1y8803yx133KFfW5YKSjk5OXYPFbYAAAAAIBCivX3BwoULZdy4cTJ+/Hj9fPHixbqkZ/ny5TJv3jyH+dXvy/rtb38rb731lrzzzjvSqVMn23RVEpSYmOjbpwAAAACAQJYMFRUV6dKd/v37201Xz/fu3evRMi5fvixnz56Va665xm76uXPnpGnTptKkSRMZMmSIQ8lReYWFhXLmzBm7BwAAAAAEJAzl5eVJSUmJNGrUyG66en7ixAmPlrFgwQI5f/68DB8+3DatTZs2ut3Q22+/LevXr9fV43r37i2HDh1yuRxVClWnTh3bIzk52ZuPAgAAAMBwPnWgoKq0lWWxWBymOaOCzrPPPqvbHTVs2NA2vUePHjJq1Cjp2LGjboP0+uuvS6tWrWTJkiUulzVt2jQ5ffq07ZGdne3LRwEAAABgKK/aDCUkJEhUVJRDKVBubq5DaVF5KgCptkZvvPGG3HbbbW7njYyMlBtuuMFtyVBcXJx+AAAAAEDAS4ZiY2N1V9o7d+60m66e9+rVy22J0NixY2XdunVy++23V/h3VEnTgQMHJCkpyZu3BwAAAACB601u6tSpMnr0aOnataseM2jlypW6W+2JEyfaqq8dP35cVq9ebQtCY8aMkRdeeEFXh7OWKtWoUUO39VFmz56tf9eyZUvdEcKLL76ow9DSpUu9fXsAAAAAEJgwNGLECDl16pTMmTNHjwXUvn17PYaQ6glOUdPKjjn08ssvS3FxsTz88MP6YXX//ffrThOU/Px8mTBhgg5KKiCpLrfV+ETdunXz9u0BAAAAgEe8DkPKpEmT9MMZa8Cx2r17d4XLW7RokX4AAAAAQEj3JgcAAAAA4Y4wBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIPoWhZcuWSWpqqsTHx0uXLl0kPT3d5bxbtmyRfv36SYMGDaR27drSs2dP2b59u8N8mzdvlrZt20pcXJz+uXXrVl/eGgAAAAAEJgxt3LhRpkyZIjNmzJCMjAzp06ePDBo0SLKyspzOv2fPHh2Gtm3bJvv375ebb75Z7rjjDv1aq3379smIESNk9OjR8uWXX+qfw4cPl08//dTbtwcAAAAAHomwWCwW8UL37t2lc+fOsnz5ctu0tLQ0ufPOO2XevHkeLaNdu3Y6/DzzzDP6ufr/mTNn5L333rPNM3DgQKlXr56sX7/eo2Wq19epU0dOnz6tS6Cq0hdrM6XLqDTZvyZTOo9Mq9L3AgAAAJh2/XvGw2zgVclQUVGRLt3p37+/3XT1fO/evR4t4/Lly3L27Fm55ppr7EqGyi9zwIABbpdZWFioP2TZBwAAAAB4yqswlJeXJyUlJdKoUSO76er5iRMnPFrGggUL5Pz587oanJV6rbfLVKVQKu1ZH8nJyd58FAAAAACG86kDhYiICLvnqqZd+WnOqCpvzz77rG531LBhw0otc9q0abrYy/rIzs72+nMAAAAAMFe0NzMnJCRIVFSUQ4lNbm6uQ8lOeSoAjRs3Tt544w257bbb7H6XmJjo9TJVr3PqAQAAAAABLxmKjY3VXWnv3LnTbrp63qtXL7clQmPHjpV169bJ7bff7vB71d12+WXu2LHD7TIBAAAAIGglQ8rUqVN119ddu3bVIWblypW6W+2JEyfaqq8dP35cVq9ebQtCY8aMkRdeeEF69OhhKwGqUaOGbuujTJ48Wfr27Svz58+XoUOHyltvvSW7du2Sjz76qFIfDgAAAAD81mZIdYO9ePFimTNnjlx//fV6HCE1hlDTpk3173NycuzGHHr55ZeluLhYHn74YUlKSrI9VACyUiVAGzZskFdffVWuu+46WbVqla5Wp7rxBgAAAICQKBlSJk2apB/OqCBT1u7duz1a5j333KMfAAAAABCyvckBAAAAQLgjDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEbyKQwtW7ZMUlNTJT4+Xrp06SLp6eku583JyZH77rtPWrduLZGRkTJlyhSHeVatWiUREREOj4KCAl/eHgAAAAD4Pwxt3LhRB5oZM2ZIRkaG9OnTRwYNGiRZWVlO5y8sLJQGDRro+Tt27OhyubVr19bBqexDhS0AAAAACIkwtHDhQhk3bpyMHz9e0tLSZPHixZKcnCzLly93On+zZs3khRdekDFjxkidOnVcLleVBCUmJto9AAAAACAkwlBRUZHs379f+vfvbzddPd+7d2+l3si5c+ekadOm0qRJExkyZIgudXJHlTidOXPG7gEAAAAAAQlDeXl5UlJSIo0aNbKbrp6fOHFCfNWmTRvdbujtt9+W9evX6+pxvXv3lkOHDrl8zbx583RJk/WhSqcAAAAAIKAdKKgqbWVZLBaHad7o0aOHjBo1SrcpUm2QXn/9dWnVqpUsWbLE5WumTZsmp0+ftj2ys7N9/vsAAAAAzBPtzcwJCQkSFRXlUAqUm5vrUFpUGarXuRtuuMFtyVBcXJx+AAAAAEDAS4ZiY2N1V9o7d+60m66e9+rVS/xFlTQdOHBAkpKS/LZMAAAAAPC5ZEiZOnWqjB49Wrp27So9e/aUlStX6m61J06caKu+dvz4cVm9erXtNSrYWDtJOHnypH6uglXbtm319NmzZ+uqci1bttQdIbz44ot6nqVLl3r79gAAAAAgMGFoxIgRcurUKZkzZ44eC6h9+/aybds23ROcoqaVH3OoU6dOtv+r3ujWrVun5z969Kielp+fLxMmTNDV71RnCGr+PXv2SLdu3bx9ewAAAAAQmDCkTJo0ST+cUb3COav25s6iRYv0AwAAAABCujc5AAAAAAh3hCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARvIpDC1btkxSU1MlPj5eunTpIunp6S7nzcnJkfvuu09at24tkZGRMmXKFKfzbd68Wdq2bStxcXH659atW315awAAAAAQmDC0ceNGHWhmzJghGRkZ0qdPHxk0aJBkZWU5nb+wsFAaNGig5+/YsaPTefbt2ycjRoyQ0aNHy5dffql/Dh8+XD799FNv3x4AAAAABCYMLVy4UMaNGyfjx4+XtLQ0Wbx4sSQnJ8vy5cudzt+sWTN54YUXZMyYMVKnTh2n86hl9OvXT6ZNmyZt2rTRP2+99VY93RUVss6cOWP3AAAAAICAhKGioiLZv3+/9O/f3266er53717xlSoZKr/MAQMGuF3mvHnzdLiyPlQgAwAAAICAhKG8vDwpKSmRRo0a2U1Xz0+cOCG+Uq/1dpmq9Oj06dO2R3Z2ts9/HwAAAIB5on15UUREhN1zi8XiMC3Qy1QdLagHAAAAAAS8ZCghIUGioqIcSmxyc3MdSna8kZiY6PdlAgAAAIDfwlBsbKzuSnvnzp1209XzXr16ia969uzpsMwdO3ZUapkAAAAA4NdqclOnTtVdX3ft2lWHmJUrV+putSdOnGhry3P8+HFZvXq17TUHDhzQP8+dOycnT57Uz1WwUuMJKZMnT5a+ffvK/PnzZejQofLWW2/Jrl275KOPPvL27QEAAABAYMKQGg/o1KlTMmfOHD2gavv27WXbtm3StGlT/Xs1rfyYQ506dbL9X/VGt27dOj3/0aNH9TRVArRhwwZ5+umnZebMmdKiRQs9nlH37t29fXsAAAAAELgOFCZNmqQfzqxatcphmuoMoSL33HOPfgAAAABASA66CgAAAADVAWEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwkk9haNmyZZKamirx8fHSpUsXSU9Pdzv/hx9+qOdT8zdv3lxWrFhh9/tVq1ZJRESEw6OgoMCXtwcAAAAA/g9DGzdulClTpsiMGTMkIyND+vTpI4MGDZKsrCyn8x85ckQGDx6s51PzT58+XR577DHZvHmz3Xy1a9eWnJwcu4cKTwAAAAAQCNHevmDhwoUybtw4GT9+vH6+ePFi2b59uyxfvlzmzZvnML8qBUpJSdHzKWlpafL555/L888/L3fffbdtPlUSlJiYWLlPAwAAAACBKBkqKiqS/fv3S//+/e2mq+d79+51+pp9+/Y5zD9gwAAdiC5dumSbdu7cOWnatKk0adJEhgwZokuR3CksLJQzZ87YPQAAAAAgIGEoLy9PSkpKpFGjRnbT1fMTJ044fY2a7mz+4uJivTylTZs2ut3Q22+/LevXr9fV43r37i2HDh1y+V5UKVSdOnVsj+TkZG8+CgAAAADD+dSBgqrSVpbFYnGYVtH8Zaf36NFDRo0aJR07dtRti15//XVp1aqVLFmyxOUyp02bJqdPn7Y9srOzffkoAAAAAAzlVZuhhIQEiYqKcigFys3NdSj9sVLtgJzNHx0dLfXr13f6msjISLnhhhvclgzFxcXpBwAAAAAEvGQoNjZWd5G9c+dOu+nqea9evZy+pmfPng7z79ixQ7p27SoxMTFOX6NKjg4cOCBJSUnevD0AAAAACFw1ualTp8of//hH+dOf/iSZmZny+OOP6261J06caKu+NmbMGNv8avqxY8f069T86nWvvPKK/OpXv7LNM3v2bN0j3eHDh3UIUr3VqZ/WZQIAAABAlXetPWLECDl16pTMmTNHjwXUvn172bZtm+4JTlHTyo45pAZnVb9XoWnp0qXSuHFjefHFF+261c7Pz5cJEybo6nSqM4ROnTrJnj17pFu3bv76nAAAAABgJ8Ji7c0gzKmutVWQUp0pqAFcq9IXazOly6g02b8mUzqPTKvS9wIAAACYdv17xsNs4FNvcgAAAAAQ7ghDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABGIgwBAAAAMBJhCAAAAICRCEMAAAAAjEQYAgAAAGAkwhAAAAAAIxGGAAAAABiJMAQAAADASIQhAAAAAEYiDAEAAAAwEmEIAAAAgJEIQwAAAACMRBgCAAAAYCTCEAAAAAAjEYYAAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIzkUxhatmyZpKamSnx8vHTp0kXS09Pdzv/hhx/q+dT8zZs3lxUrVjjMs3nzZmnbtq3ExcXpn1u3bvXlrQEAAABAYMLQxo0bZcqUKTJjxgzJyMiQPn36yKBBgyQrK8vp/EeOHJHBgwfr+dT806dPl8cee0yHH6t9+/bJiBEjZPTo0fLll1/qn8OHD5dPP/3U27cHAAAAAB6JsFgsFvFC9+7dpXPnzrJ8+XLbtLS0NLnzzjtl3rx5DvM/+eST8vbbb0tmZqZt2sSJE3XoUSFIUUHozJkz8t5779nmGThwoNSrV0/Wr1/v9H0UFhbqh9Xp06clJSVFsrOzpXbt2lKVDmw8KDdOaC0frjwo149oXaXvBQAAADDt+vfMmTOSnJws+fn5UqdOHdczWrxQWFhoiYqKsmzZssVu+mOPPWbp27ev09f06dNH/74s9fro6GhLUVGRfp6cnGxZuHCh3TzqeUpKisv3MmvWLBXieLAO2AfYB9gH2AfYB9gH2AfYB9gH2AcsztZBdna223wT7U3CysvLk5KSEmnUqJHddPX8xIkTTl+jpjubv7i4WC8vKSnJ5TyulqlMmzZNpk6dant++fJl+e9//yv169eXiIgIbz4WXCTpUChlQym2SWhiu4QetkloYruEHrZJaGK7+I+q/Hb27Flp3Lix2/m8CkNW5cOG+mPuAoiz+ctP93aZqqMF9Sirbt26Hn4CeEIFIcJQaGGbhCa2S+hhm4QmtkvoYZuEJraLf7itHudLBwoJCQkSFRXlUGKTm5vrULJjlZiY6HT+6OhoXYrjbh5XywQAAACAyvIqDMXGxuousnfu3Gk3XT3v1auX09f07NnTYf4dO3ZI165dJSYmxu08rpYJAAAAAJXldTU51U5HdX2twowKMStXrtTdaqse4qxteY4fPy6rV6/Wz9X0l156Sb/ugQce0D3IvfLKK3a9xE2ePFn69u0r8+fPl6FDh8pbb70lu3btko8++qjSHxDeU9UPZ82a5VANEVWHbRKa2C6hh20SmtguoYdtEprYLmHQtbZ10NXf//73kpOTI+3bt5dFixbpMKOMHTtWjh49Krt377YbdPXxxx+Xb775RjdiUt1tW8OT1aZNm+Tpp5+Ww4cPS4sWLeS5556TYcOG+eMzAgAAAIB/whAAAAAAGNVmCAAAAACqC8IQAAAAACMRhgAAAAAYiTAEAAAAwEiEIeie+9SYTjVr1pS6det6tEZUr4ERERF2jx49erA2q3i7qP5Qnn32Wd1rY40aNeSmm27SvTjCP3744Qc9tIAa0Vo91P/z8/PdvoZjxf9Uj6apqakSHx+vx75LT093O7/q0VTNp+Zv3ry5rFixIgDvCt5sF9XjbPlziHp8++23rEg/2bNnj9xxxx36fKDW7ZtvvlnhazhWQmubcJwEB2EIUlRUJD/96U/loYce8mptDBw4UHevbn1s27aNtVnF20V1eb9w4UI9ttff/vY3SUxMlH79+snZs2fZNn5w3333yYEDB+T999/XD/V/FYgqwrHiPxs3bpQpU6bIjBkzJCMjQ/r06SODBg3S4905c+TIERk8eLCeT80/ffp0eeyxx2Tz5s1+fFfwdrtYHTx40O480rJlS1amn5w/f146duyozwee4FgJvW1ixXESYKprbUB59dVXLXXq1PFoZdx///2WoUOHsuJCaLtcvnzZkpiYaPnd735nm1ZQUKBfu2LFigC/y+rvH//4hxqGwPLJJ5/Ypu3bt09P+/bbb12+jmPFv7p162aZOHGi3bQ2bdpYnnrqKafzP/HEE/r3ZT344IOWHj16+Pmdmc3b7fLXv/5VHzs//PBDkN6h2dS63rp1q9t5OFZCb5twnAQHJUPwmSq+bdiwobRq1UoeeOAByc3NZW1WIXVX78SJE9K/f3+7kaxvvPFG2bt3L9umkvbt26erxnXv3t02TVUNVdMqWr8cK/4rLd2/f7/dPq6o5662gdpu5ecfMGCAfP7553Lp0iU/vTOz+bJdrDp16iRJSUly6623yl//+tcAv1O4w7ESujhOAoswBJ+o6g9r166VDz74QBYsWKCrZN1yyy1SWFjIGq0iKggpjRo1spuunlt/h8qtXxX+y1PT3K1fjhX/ycvLk5KSEq/2cTXd2fzFxcV6eaia7aIC0MqVK3V1xS1btkjr1q11IFJtKlA1OFZCD8dJcEQH6e8gyFQj+tmzZ7udRwWYrl27+rT8ESNG2P7fvn17vZymTZvKu+++K8OGDfNpmSYI9HZRVKPMslRpfPlp8H6bOFu3nqxfjhX/83Yfdza/s+kI3nZR4Uc9rHr27CnZ2dny/PPPS9++fdkUVYRjJbRwnAQHYaiaeuSRR+Tee+91O0+zZs38evdChaFDhw75bZnVUSC3i+oswXp3T20PK1V9sfwdW3i/Tb766iv5z3/+4/C7kydPerV+OVZ8l5CQIFFRUQ6lDe72cXVcOJs/Ojpa6tevX4l3g8psF2dUtdM1a9awYqsIx0p44DjxP8JQNT45qUewnDp1St/VK3sRjuBuF9WlrTqZ7dy5U9cvttblV12lzp8/n81RyW2i7lyfPn1aPvvsM+nWrZue9umnn+ppqgt0T3Gs+C42NlZ32az28bvuuss2XT0fOnSoy+32zjvv2E3bsWOHLn2NiYmpxLtBZbaLM6oXOs4hVYdjJTxwnARAkDpqQAg7duyYJSMjwzJ79mzLVVddpf+vHmfPnrXN07p1a8uWLVv0/9X0X/7yl5a9e/dajhw5ons76dmzp+Xaa6+1nDlzpgo/idnbRVE9yane49S0r7/+2vKzn/3MkpSUxHbxk4EDB1quu+463YucenTo0MEyZMgQu3k4VgJrw4YNlpiYGMsrr7yie/ibMmWKpVatWpajR4/q36vey0aPHm2b//Dhw5aaNWtaHn/8cT2/ep16/aZNmwL8Ts3i7XZZtGiR7knru+++s/z973/Xv1eXJJs3b67CT1G9qHOF9byh1u3ChQv1/9W5ReFYCf1twnESHIQh6K5/1UFZ/qFCjm1HEdFdPCsXLlyw9O/f39KgQQN98ktJSdHLyMrKYm1W4Xaxdq89a9Ys3cV2XFycpW/fvjoUwT9OnTplGTlypOXqq6/WD/X/8l0Dc6wE3tKlSy1Nmza1xMbGWjp37mz58MMP7Y6bG2+80W7+3bt3Wzp16qTnb9asmWX58uVBeJfm8Wa7zJ8/39KiRQtLfHy8pV69epYf//jHlnfffbeK3nn1ZO2WufxDbQuFYyX0twnHSXBEqH8CUeIEAAAAAKGMrrUBAAAAGIkwBAAAAMBIhCEAAAAARiIMAQAAADASYQgAAACAkQhDAAAAAIxEGAIAAABgJMIQAAAAACMRhgAAAAAYiTAEAAAAwEiEIQAAAABiov8PtFBDkGYiMq0AAAAASUVORK5CYII=", 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\n", 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", 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\n", 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", 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\n", 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", 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+ "image/png": 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", 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\n", 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", 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\n", 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", 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\n", 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", 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\n", 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", 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\n", 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", 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\n", 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", 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\n", + "image/png": 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", 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\n", + "image/png": 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", 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" ] @@ -1238,6 +1091,60 @@ "Now use `matplotlib` to reproduce as closely as you can figures 5 and 6 from the paper. This exercise is intended to get you to familiarize yourself with making nicely formatted `matplotlib` figures with multiple plots. Note that the plots in the paper are actually wrong!" ] }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# Exercise 3: Recreating the paper's comparison plots\n", + "# Using math proxies since the models aren't trained yet. \n", + "# We're focusing on the \"multiple plot\" formatting requested.\n", + "\n", + "x = np.linspace(0.4, 1.0, 100)\n", + "\n", + "# Mimicking the general shape of the curves in the paper\n", + "# Fig 5 is log-scale rejection; Fig 6 is significance improvement\n", + "rej_dnn, rej_snn, rej_bdt = np.exp(11*(1-x)), np.exp(9.5*(1-x)), np.exp(8*(1-x))\n", + "imp_dnn, imp_snn, imp_bdt = 1.3-2*(x-0.65)**2, 1.2-1.8*(x-0.65)**2, 1.1-1.5*(x-0.65)**2\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n", + "\n", + "# --- Figure 5: Background Rejection (Log Scale) ---\n", + "ax1.plot(x, rej_dnn, 'k-', label='DNN', linewidth=2)\n", + "ax1.plot(x, rej_snn, 'r--', label='SNN', linewidth=2)\n", + "ax1.plot(x, rej_bdt, 'b:', label='BDT', linewidth=2)\n", + "ax1.set_yscale('log')\n", + "ax1.set(xlabel='Signal Efficiency', ylabel='Background Rejection', xlim=(0.4, 1.0), ylim=(1, 10**4))\n", + "ax1.tick_params(direction='in', which='both', right=True, top=True)\n", + "ax1.legend(frameon=False)\n", + "\n", + "# --- Figure 6: Significance Improvement (Linear Scale) ---\n", + "ax2.plot(x, imp_dnn, 'k-', label='DNN', linewidth=2)\n", + "ax2.plot(x, imp_snn, 'r--', label='SNN', linewidth=2)\n", + "ax2.plot(x, imp_bdt, 'b:', label='BDT', linewidth=2)\n", + "ax2.set(xlabel='Signal Efficiency', ylabel='Significance Improvement', xlim=(0.4, 1.0), ylim=(0.8, 1.4))\n", + "ax2.tick_params(direction='in', right=True, top=True)\n", + "ax2.legend(frameon=False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1256,6 +1163,141 @@ "Which observables appear to be best for separating signal from background?" ] }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Exercise 4.1 Part a: Custom Pair Plot Function\n", + "def my_pairplot(dataframe, features, title_suffix=\"Features\"):\n", + " \"\"\"\n", + " Creates a pair plot grid without using seaborn.\n", + " Diagonals: 1D histograms showing overlapping class distributions.\n", + " Off-diagonals: 2D histograms to visualize correlations between features.\n", + " \"\"\"\n", + " n = len(features)\n", + " fig, axes = plt.subplots(n, n, figsize=(n*2, n*2))\n", + " fig.suptitle(f'Pair Plots of SUSY {title_suffix}', fontsize=16)\n", + "\n", + " # Pre-split data to avoid repeated filtering inside the loops\n", + " sig = dataframe[dataframe['signal'] == 1]\n", + " bkg = dataframe[dataframe['signal'] == 0]\n", + "\n", + " for i in range(n):\n", + " for j in range(n):\n", + " ax = axes[i, j]\n", + " \n", + " if i == j: # Diagonal: 1D Histograms\n", + " ax.hist(sig[features[i]], bins=30, histtype='step', color='red', density=True)\n", + " ax.hist(bkg[features[i]], bins=30, histtype='step', color='blue', density=True)\n", + " elif i > j: # Lower triangle: 2D Histogram for Signal\n", + " ax.hist2d(sig[features[j]], sig[features[i]], bins=20, cmap='Reds')\n", + " else: # Upper triangle: 2D Histogram for Background\n", + " ax.hist2d(bkg[features[j]], bkg[features[i]], bins=20, cmap='Blues')\n", + "\n", + " # Formatting to keep the grid clean\n", + " if i < n - 1: ax.set_xticklabels([])\n", + " if j > 0: ax.set_yticklabels([])\n", + " if i == n - 1: ax.set_xlabel(features[j], fontsize=8)\n", + " if j == 0: ax.set_ylabel(features[i], fontsize=8)\n", + "\n", + " plt.tight_layout(rect=[0, 0.03, 1, 0.95])\n", + " plt.show()\n", + "\n", + "# Running the function on a subset of features to keep it readable\n", + "my_pairplot(df, RawNames[:4], \"Low-Level\")\n", + "my_pairplot(df, list(FeatureNames)[:4], \"High-Level\")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\"\\nObservation on Speed:\\nCreating these plots is slow because standard Pandas indexing inside a nested loop \\nforces a full lookup for every single subplot (N^2 times). \\n\\nModification made: \\nTo speed up the function in Part A, I pre-split the dataframe into 'sig' and 'bkg' \\nobjects before entering the loops. This prevents the code from having to filter \\nthe entire 500,000-row dataframe at every single iteration.\\n\\nProposed faster method:\\nA much faster way to create these histograms would be to use 'np.histogram2d' to \\ncalculate the frequency matrices mathematically first, then use 'ax.imshow()' \\nto render them as images. This decouples the math from the plotting and avoids \\nmatplotlib's overhead of binning millions of points on the fly for every subplot.\\n\"" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Exercise 4.1 Part b: Speed Optimization Reasoning\n", + "\"\"\"\n", + "Observation on Speed:\n", + "Creating these plots is slow because standard Pandas indexing inside a nested loop \n", + "forces a full lookup for every single subplot (N^2 times). \n", + "\n", + "Modification made: \n", + "To speed up the function in Part A, I pre-split the dataframe into 'sig' and 'bkg' \n", + "objects before entering the loops. This prevents the code from having to filter \n", + "the entire 500,000-row dataframe at every single iteration.\n", + "\n", + "Proposed faster method:\n", + "A much faster way to create these histograms would be to use 'np.histogram2d' to \n", + "calculate the frequency matrices mathematically first, then use 'ax.imshow()' \n", + "to render them as images. This decouples the math from the plotting and avoids \n", + "matplotlib's overhead of binning millions of points on the fly for every subplot.\n", + "\"\"\"" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\"\\nAnalysis:\\nBased on the distributions, the high-level features (FeatureNames) like M_R and MT2 \\nappear to be the best for separating signal from background. \\n\\nIn the low-level plots (RawNames), the signal and background distributions are \\nalmost perfectly overlapping (especially in variables like l_1_eta or l_1_phi), \\nmaking them poor classifiers on their own. However, the high-level engineered \\nfeatures show a clear 'shift' or difference in shape between the two classes, \\nwhich provides the model with a much stronger signal to learn from.\\n\"" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Exercise 4.1 Part c: Analysis of Observables\n", + "\"\"\"\n", + "Analysis:\n", + "Based on the distributions, the high-level features (FeatureNames) like M_R and MT2 \n", + "appear to be the best for separating signal from background. \n", + "\n", + "In the low-level plots (RawNames), the signal and background distributions are \n", + "almost perfectly overlapping (especially in variables like l_1_eta or l_1_phi), \n", + "making them poor classifiers on their own. However, the high-level engineered \n", + "features show a clear 'shift' or difference in shape between the two classes, \n", + "which provides the model with a much stronger signal to learn from.\n", + "\"\"\"" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1275,6 +1317,208 @@ "Write a function that takes a dataset and appropriate arguments and performs steps b and c. " ] }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting tabulate\n", + " Downloading tabulate-0.10.0-py3-none-any.whl.metadata (40 kB)\n", + "Downloading tabulate-0.10.0-py3-none-any.whl (39 kB)\n", + "Installing collected packages: tabulate\n", + "Successfully installed tabulate-0.10.0\n" + ] + } + ], + "source": [ + "!pip install tabulate" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--- Low-Level Features ---\n", + "Covariance Matrix:\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
Variable l_1_pT l_1_eta l_1_phi l_2_pT l_2_eta l_2_phi MET MET_phi
l_1_pT 0.467 -0 0 0.305 -0 0.001 0.228 -0.001
l_1_eta -0 1.004 -0.001 -0 0.408 -0.001-0.002 -0.001
l_1_phi 0 -0.001 1.004 0.001 0 -0.267 0.001 -0.185
l_2_pT 0.305 -0 0.001 0.425 -0.001 0 0.079 -0.002
l_2_eta -0 0.408 0 -0.001 1.006 0 0 -0
l_2_phi 0.001 -0.001 -0.267 0 0 1.004-0 -0.035
MET 0.228 -0.002 0.001 0.079 0 -0 0.762 -0.003
MET_phi -0.001 -0.001 -0.185 -0.002 -0 -0.035-0.003 1.003
" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Correlation Matrix:\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
Variable l_1_pT l_1_eta l_1_phi l_2_pT l_2_eta l_2_phi MET MET_phi
l_1_pT 1 -0.001 0 0.684 -0.001 0.001 0.383 -0.001
l_1_eta -0.001 1 -0.001 -0 0.406 -0.001-0.002 -0.001
l_1_phi 0 -0.001 1 0.002 0 -0.266 0.001 -0.184
l_2_pT 0.684 -0 0.002 1 -0.001 0 0.14 -0.002
l_2_eta -0.001 0.406 0 -0.001 1 0 0 -0
l_2_phi 0.001 -0.001 -0.266 0 0 1 -0 -0.035
MET 0.383 -0.002 0.001 0.14 0 -0 1 -0.003
MET_phi -0.001 -0.001 -0.184 -0.002 -0 -0.035-0.003 1
" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--- High-Level Features ---\n", + "Covariance Matrix:\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
Variable cos_theta_r1 M_R M_TR_2 S_R dPhi_r_b M_Delta_R R MET_rel axial_MET MT2
cos_theta_r1 0.039-0.014 0.052-0.01 0.009 0.039 0.058 0.055 -0.054 0.045
M_R -0.014 0.392 0.21 0.38 -0.029 0.074-0.113 0.044 0.017-0.037
M_TR_2 0.052 0.21 0.338 0.228 0.058 0.242 0.104 0.302 -0.185 0.189
S_R -0.01 0.38 0.228 0.382 -0.003 0.096-0.083 0.082 -0.041-0.011
dPhi_r_b 0.009-0.029 0.058-0.003 0.19 0.042 0.087 0.146 -0.025 0.021
M_Delta_R 0.039 0.074 0.242 0.096 0.042 0.389 0.165 0.415 -0.233 0.433
R 0.058-0.113 0.104-0.083 0.087 0.165 0.222 0.249 -0.181 0.232
MET_rel 0.055 0.044 0.302 0.082 0.146 0.415 0.249 0.79 -0.12 0.409
axial_MET -0.054 0.017 -0.185-0.041 -0.025 -0.233-0.181 -0.12 1.005-0.461
MT2 0.045-0.037 0.189-0.011 0.021 0.433 0.232 0.409 -0.461 0.738
" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Correlation Matrix:\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
Variable cos_theta_r1 M_R M_TR_2 S_R dPhi_r_b M_Delta_R R MET_rel axial_MET MT2
cos_theta_r1 1 -0.116 0.451-0.085 0.106 0.319 0.627 0.316 -0.272 0.264
M_R -0.116 1 0.577 0.981 -0.106 0.189-0.383 0.078 0.027-0.068
M_TR_2 0.451 0.577 1 0.635 0.229 0.668 0.38 0.584 -0.317 0.379
S_R -0.085 0.981 0.635 1 -0.013 0.249-0.287 0.15 -0.067-0.021
dPhi_r_b 0.106-0.106 0.229-0.013 1 0.155 0.424 0.378 -0.057 0.056
M_Delta_R 0.319 0.189 0.668 0.249 0.155 1 0.564 0.748 -0.373 0.809
R 0.627-0.383 0.38 -0.287 0.424 0.564 1 0.595 -0.383 0.574
MET_rel 0.316 0.078 0.584 0.15 0.378 0.748 0.595 1 -0.134 0.535
axial_MET -0.272 0.027 -0.317-0.067 -0.057 -0.373-0.383 -0.134 1 -0.535
MT2 0.264-0.068 0.379-0.021 0.056 0.809 0.574 0.535 -0.535 1
" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from IPython.display import HTML, display\n", + "import tabulate\n", + "\n", + "# Exercise 4.2 Part d: Function to handle the math and the table formatting\n", + "def make_stats_table(data, features, title):\n", + " # Part b: Using numpy for the actual math\n", + " # Need rowvar=False so it doesn't try to treat 500k rows as variables\n", + " vals = data[features].values\n", + " cov_mat = np.cov(vals, rowvar=False)\n", + " corr_mat = np.corrcoef(vals, rowvar=False)\n", + " \n", + " # Part c: Clean up the look with tabulate\n", + " # Rounding to 3 decimals so the table isn't a mess of long floats\n", + " headers = [\"Variable\"] + features\n", + " \n", + " # Building the rows for the tables\n", + " cov_rows = [[features[i]] + list(np.round(cov_mat[i], 3)) for i in range(len(features))]\n", + " corr_rows = [[features[i]] + list(np.round(corr_mat[i], 3)) for i in range(len(features))]\n", + " \n", + " # Printing everything out as HTML so it embeds nicely in the cell output\n", + " print(f\"\\n--- {title} ---\")\n", + " print(\"Covariance Matrix:\")\n", + " display(HTML(tabulate.tabulate(cov_rows, tablefmt='html', headers=headers)))\n", + " \n", + " print(\"Correlation Matrix:\")\n", + " display(HTML(tabulate.tabulate(corr_rows, tablefmt='html', headers=headers)))\n", + "\n", + "# Running it for both sets of features\n", + "make_stats_table(df, RawNames, \"Low-Level Features\")\n", + "make_stats_table(df, list(FeatureNames), \"High-Level Features\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1439,7 +1683,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ds", "language": "python", "name": "python3" }, @@ -1453,7 +1697,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.12" + "version": "3.11.14" } }, "nbformat": 4, diff --git a/Lectures/Lecture.16/Lecture.16.ipynb b/Lectures/Lecture.16/Lecture.16.ipynb deleted file mode 100644 index 989236c8..00000000 --- a/Lectures/Lecture.16/Lecture.16.ipynb +++ /dev/null @@ -1,2639 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Lecture 16- Data Analysis" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "From the last lab, here are the column names for the SUSY Data:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['S_R',\n", - " 'MT2',\n", - " 'R',\n", - " 'M_TR_2',\n", - " 'MET_rel',\n", - " 'M_Delta_R',\n", - " 'axial_MET',\n", - " 'M_R',\n", - " 'cos_theta_r1',\n", - " 'dPhi_r_b']" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "VarNames=[\"signal\", \"l_1_pT\", \"l_1_eta\",\"l_1_phi\", \"l_2_pT\", \"l_2_eta\", \"l_2_phi\", \"MET\", \"MET_phi\", \"MET_rel\", \"axial_MET\", \"M_R\", \"M_TR_2\", \"R\", \"MT2\", \"S_R\", \"M_Delta_R\", \"dPhi_r_b\", \"cos_theta_r1\"]\n", - "RawNames=[\"l_1_pT\", \"l_1_eta\",\"l_1_phi\", \"l_2_pT\", \"l_2_eta\", \"l_2_phi\", \"MET\", \"MET_phi\"]\n", - "FeatureNames=list(set(VarNames[1:]).difference(RawNames))\n", - "FeatureNames" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's not download the data again... just use the copy we have in lab 7." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "total 5152472\n", - "-rw-------@ 1 afarbin staff 401K Mar 20 19:37 Lab.7.ipynb\n", - "-rw-r--r--@ 1 afarbin staff 8.0M Mar 20 12:18 Lab.7.pdf\n", - "-rw-r--r--@ 1 afarbin staff 228M Mar 20 13:50 SUSY-small.csv\n", - "-rw-r--r--@ 1 afarbin staff 2.2G Mar 20 11:36 SUSY.csv\n" - ] - } - ], - "source": [ - "!ls -lh ../../Labs/Lab.7" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "How much data? Let's count the lines in the CSV file" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 5000000 5000000 2390277560 ../../Labs/Lab.7/SUSY.csv\n" - ] - } - ], - "source": [ - "!wc ../../Labs/Lab.7/SUSY.csv" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Just to make things go faster, lets create a smaller file with 10% of the data." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "!head -500000 ../../Labs/Lab.7/SUSY.csv > SUSY-Small.csv" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now load it with Pandas:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "filename=\"SUSY-Small.csv\"\n", - "df = pd.read_csv(filename, dtype='float64', names=VarNames)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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signall_1_pTl_1_etal_1_phil_2_pTl_2_etal_2_phiMETMET_phiMET_relaxial_METM_RM_TR_2RMT2S_RM_Delta_RdPhi_r_bcos_theta_r1
00.00.9728610.6538551.1762251.157156-1.739873-0.8743090.567765-0.1750000.810061-0.2525521.9218870.8896370.4107721.1456211.9326320.9944641.3678150.040714
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41.01.309996-0.690089-0.6762591.589283-0.6933260.6229071.087562-0.3817420.5892041.3654791.1792950.9682180.7285630.0000001.0831580.0434291.1548540.094859
............................................................
4999950.00.7190351.0918790.2915401.205962-1.599117-1.1394450.4245461.1548490.637185-0.0911781.9721560.6970280.3136360.9886021.9815730.7448281.0950800.006546
4999961.00.910016-0.364544-0.7771200.543648-0.910632-1.7237072.8646731.4582722.176558-0.5909110.6736951.6621402.1893621.1950410.9108151.1818931.2523620.826035
4999971.00.8429540.332476-1.0485641.3479890.320496-0.6663580.450433-0.4118720.2934070.6304910.8599200.4033710.4162580.5919890.3720030.7167880.3669910.265798
4999980.01.370760-1.1629120.8934992.1180911.248496-0.8872110.1646590.3168400.2151650.2804183.0870830.5269290.1514670.3080673.0981830.2330420.8762160.000593
4999990.00.7624000.4409240.3428851.0342831.740353-1.0833140.872145-1.5198940.284328-0.3608610.9568280.9659790.8958811.0203960.9964460.9434581.2998700.197220
\n", - "

500000 rows × 19 columns

\n", - "
" - ], - "text/plain": [ - " signal l_1_pT l_1_eta l_1_phi l_2_pT l_2_eta l_2_phi \\\n", - "0 0.0 0.972861 0.653855 1.176225 1.157156 -1.739873 -0.874309 \n", - "1 1.0 1.667973 0.064191 -1.225171 0.506102 -0.338939 1.672543 \n", - "2 1.0 0.444840 -0.134298 -0.709972 0.451719 -1.613871 -0.768661 \n", - "3 1.0 0.381256 -0.976145 0.693152 0.448959 0.891753 -0.677328 \n", - "4 1.0 1.309996 -0.690089 -0.676259 1.589283 -0.693326 0.622907 \n", - "... ... ... ... ... ... ... ... \n", - "499995 0.0 0.719035 1.091879 0.291540 1.205962 -1.599117 -1.139445 \n", - "499996 1.0 0.910016 -0.364544 -0.777120 0.543648 -0.910632 -1.723707 \n", - "499997 1.0 0.842954 0.332476 -1.048564 1.347989 0.320496 -0.666358 \n", - "499998 0.0 1.370760 -1.162912 0.893499 2.118091 1.248496 -0.887211 \n", - "499999 0.0 0.762400 0.440924 0.342885 1.034283 1.740353 -1.083314 \n", - "\n", - " MET MET_phi MET_rel axial_MET M_R M_TR_2 R \\\n", - "0 0.567765 -0.175000 0.810061 -0.252552 1.921887 0.889637 0.410772 \n", - "1 3.475464 -1.219136 0.012955 3.775174 1.045977 0.568051 0.481928 \n", - "2 1.219918 0.504026 1.831248 -0.431385 0.526283 0.941514 1.587535 \n", - "3 2.033060 1.533041 3.046260 -1.005285 0.569386 1.015211 1.582217 \n", - "4 1.087562 -0.381742 0.589204 1.365479 1.179295 0.968218 0.728563 \n", - "... ... ... ... ... ... ... ... \n", - "499995 0.424546 1.154849 0.637185 -0.091178 1.972156 0.697028 0.313636 \n", - "499996 2.864673 1.458272 2.176558 -0.590911 0.673695 1.662140 2.189362 \n", - "499997 0.450433 -0.411872 0.293407 0.630491 0.859920 0.403371 0.416258 \n", - "499998 0.164659 0.316840 0.215165 0.280418 3.087083 0.526929 0.151467 \n", - "499999 0.872145 -1.519894 0.284328 -0.360861 0.956828 0.965979 0.895881 \n", - "\n", - " MT2 S_R M_Delta_R dPhi_r_b cos_theta_r1 \n", - "0 1.145621 1.932632 0.994464 1.367815 0.040714 \n", - "1 0.000000 0.448410 0.205356 1.321893 0.377584 \n", - "2 2.024308 0.603498 1.562374 1.135454 0.180910 \n", - "3 1.551914 0.761215 1.715464 1.492257 0.090719 \n", - "4 0.000000 1.083158 0.043429 1.154854 0.094859 \n", - "... ... ... ... ... ... \n", - "499995 0.988602 1.981573 0.744828 1.095080 0.006546 \n", - "499996 1.195041 0.910815 1.181893 1.252362 0.826035 \n", - "499997 0.591989 0.372003 0.716788 0.366991 0.265798 \n", - "499998 0.308067 3.098183 0.233042 0.876216 0.000593 \n", - "499999 1.020396 0.996446 0.943458 1.299870 0.197220 \n", - "\n", - "[500000 rows x 19 columns]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And separate signal and background into different DataFrames for easy reference:" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "df_sig=df[df.signal==1]\n", - "df_bkg=df[df.signal==0]" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(229245, 19)\n", - "(270755, 19)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 584, in shell_channel_thread_main\n", - " _, msg2 = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "ERROR:tornado.general:Uncaught exception in ZMQStream callback\n", - "Traceback (most recent call last):\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/zmq/eventloop/zmqstream.py\", line 565, in _log_error\n", - " f.result()\n", - " ~~~~~~~~^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 348, in dispatch_control\n", - " await self.process_control(msg)\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/ipykernel/kernelbase.py\", line 354, in process_control\n", - " idents, msg = self.session.feed_identities(msg, copy=False)\n", - " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^\n", - " File \"/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/jupyter_client/session.py\", line 998, in feed_identities\n", - " raise ValueError(msg)\n", - "ValueError: DELIM not in msg_list\n", - "Bad pipe message: %s [b'\\xd8\\xc5\\xe0\\xcd\\xd9yAB\\x81\\xe7XIpUda\\xfar\\x00\\x01|\\x00\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00\\x04\\x00\\x05\\x00\\x06\\x00\\x07\\x00\\x08\\x00\\t\\x00\\n\\x00\\x0b\\x00\\x0c\\x00\\r\\x00\\x0e\\x00\\x0f\\x00\\x10\\x00\\x11\\x00\\x12\\x00\\x13\\x00\\x14\\x00\\x15\\x00\\x16\\x00\\x17\\x00\\x18\\x00\\x19\\x00\\x1a\\x00\\x1b\\x00/\\x000\\x001\\x002\\x003\\x004\\x005\\x006\\x007\\x008\\x009\\x00:\\x00;\\x00<\\x00=\\x00>\\x00?\\x00@\\x00A\\x00B\\x00C\\x00D\\x00E\\x00F\\x00g\\x00h\\x00i\\x00j\\x00k\\x00l\\x00m\\x00\\x84\\x00\\x85\\x00\\x86\\x00\\x87\\x00\\x88\\x00\\x89\\x00\\x96\\x00\\x97\\x00\\x98\\x00\\x99\\x00\\x9a\\x00\\x9b\\x00\\x9c\\x00\\x9d\\x00\\x9e\\x00\\x9f\\x00\\xa0\\x00\\xa1\\x00\\xa2\\x00\\xa3\\x00\\xa4\\x00\\xa5\\x00\\xa6\\x00\\xa7\\x00\\xba\\x00\\xbb\\x00\\xbc\\x00\\xbd\\x00\\xbe\\x00\\xbf\\x00\\xc0\\x00\\xc1\\x00\\xc2\\x00\\xc3\\x00\\xc4\\x00\\xc5\\x13\\x01\\x13\\x02\\x13\\x03', b'\\x13\\x05\\xc0\\x01\\xc0\\x02\\xc0\\x03\\xc0\\x04\\xc0\\x05\\xc0\\x06\\xc0\\x07\\xc0\\x08']\n", - "Bad pipe message: %s [b'Y\\xec.\\xb5k\\xb8\\xb4&u\\xd5Bd\\xa4\\xca\\xf9\\x1d]\\x83\\x00\\x01|\\x00\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00\\x04\\x00\\x05\\x00\\x06\\x00\\x07\\x00\\x08\\x00\\t\\x00\\n\\x00\\x0b\\x00\\x0c\\x00\\r\\x00\\x0e\\x00\\x0f\\x00\\x10\\x00\\x11\\x00']\n", - "Bad pipe message: %s [b'\\x13\\x00\\x14\\x00\\x15\\x00\\x16\\x00\\x17\\x00\\x18\\x00\\x19\\x00\\x1a\\x00\\x1b']\n", - "Bad pipe message: %s [b'&\\x81 \\xdb\\xf6!N\\x16\\x7f2)\\x17\\xb5K\\x11\\x02\\xac\\xab\\x00\\x01|\\x00\\x00\\x00\\x01\\x00\\x02\\x00\\x03\\x00\\x04\\x00\\x05\\x00\\x06\\x00\\x07\\x00\\x08\\x00\\t\\x00\\n\\x00\\x0b\\x00\\x0c\\x00\\r\\x00\\x0e\\x00\\x0f\\x00\\x10\\x00\\x11\\x00\\x12\\x00\\x13\\x00\\x14\\x00\\x15\\x00\\x16\\x00\\x17\\x00\\x18\\x00\\x19\\x00\\x1a\\x00\\x1b\\x00/\\x000\\x001\\x002\\x003\\x004\\x005\\x006\\x007\\x008\\x009\\x00:\\x00;\\x00<\\x00=\\x00>\\x00?\\x00@\\x00A\\x00B\\x00C\\x00D\\x00E\\x00F\\x00g']\n" - ] - } - ], - "source": [ - "print(df_sig.shape)\n", - "print(df_bkg.shape)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create Data Like Sample\n", - "\n", - "First, lets look back to Lab 7 and try to identify one feature that seems to exhibit good separation between signal and background events. \n", - "\n", - "`M_TR_2` seems to by such variable...\n", - "\n", - "Now lets try to recreate what the distribution of this variable in real data coming from the accelerator would look like. Remember that the data we are using now is simulated, not real. And it was created in a way that we have roughly the same number of signal and background events, and lots of them. \n", - "\n", - "In the real data, we would expect very different mixture of signal and background events. Let's imagine we expected 100 background events and 10 signal events. We can use the simulated data to estimate what the distribution of `M_TR_2` may look like in real data." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import math\n", - "n_bkg_expected = 100\n", - "n_sig_expected = 10\n", - "\n", - "# Mix signal and background events:\n", - "data = df_sig[:n_sig_expected][\"M_TR_2\"].tolist()+df_bkg[:n_bkg_expected][\"M_TR_2\"].tolist()\n", - "\n", - "# Histogram the data\n", - "c , bin_edges= np.histogram(data,bins=20)\n", - "\n", - "# Correctly compute the errors on each bin\n", - "# Each bin obey Poisson statistics, which means \n", - "# that the standard deviation can be approximated \n", - "# as the sqrt of the mean value\n", - "error = np.sqrt(c)\n", - "\n", - "# Now we need to plot everything together...\n", - "# Unfortunately it's not so pretty in Matplotlib\n", - "bin_width = bin_edges[1]-bin_edges[0]\n", - "bin_centers = 0.5*(bin_edges[1:]+bin_edges[:-1])\n", - "\n", - "plt.errorbar(bin_centers, c, yerr=error, marker=\"o\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Obtain Probability Density Functions from Simulation\n", - "\n", - "Now lets use the simulation to see what the probability distributions of `M_TR_2` looks like for the signal and background. Note that we are really wanting to see the Probability Distribution Functions (PDFs). `matplotlib` histogram function plots PDFs for us by specifying `density=1`. In order to understand what density means, lets use `numpy` and do the computation ourselves." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Signal Histogram\n", - "c_bkg_sim, sim_bin = np.histogram(df_bkg[\"M_TR_2\"],bins=100) \n", - "plt.step(sim_bin[1:],c_bkg_sim)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Background Histogram\n", - "c_sig_sim, sim_bin = np.histogram(df_sig[\"M_TR_2\"],bins=sim_bin)\n", - "plt.step(sim_bin[1:],c_sig_sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We now need to scale the `y`-axis correctly such that the area under the curve is 1. We'll take one further step here and actually normalize the the expected number of events." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Bin size: 0.10117358507588506\n", - "Integral: 270755\n", - "N Bkg Expected: 100\n", - "Normalized Integral: 100.0000000000001\n" - ] - }, - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Starting with background this time...\n", - "# Compute the bin size\n", - "bin_size_sim = sim_bin[1]-sim_bin[0]\n", - "print(\"Bin size:\",bin_size_sim)\n", - "\n", - "# Compute the integral\n", - "integral = sum(c_bkg_sim)\n", - "print(\"Integral:\",integral)\n", - "print(\"N Bkg Expected:\",n_bkg_expected)\n", - "\n", - "# Divide the counts by the integral and multiply by expected number\n", - "c_bkg_sim_normalized = (n_bkg_expected / integral ) * c_bkg_sim\n", - "plt.step(sim_bin[1:],c_bkg_sim_normalized)\n", - "print(\"Normalized Integral:\",sum(c_bkg_sim_normalized))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Repeat for the signal:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "integral = sum(c_sig_sim) \n", - "c_sig_sim_normalized = (n_sig_expected / integral ) * c_sig_sim\n", - "plt.step(sim_bin[1:],c_sig_sim_normalized)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Combine to Compare Data and Simulation\n", - "\n", - "Now lets plot everything together..." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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uvvtuqFQq9O/fH2+99RaSkpKwevVq0zGCIOC1117DvffeC7VajYEDB+L999837dfpdHj00UfRv39/qFQqJCcn46WXXnL7c1ryaHmAlpYWlJaWYuHChaZtAQEByMrKwt69e7t1zWXLluGpp55yVRNdquayYYKuEHgZoXPLoFYb0vP/N4BxuiAMfcpQVKyzatGOmLAjx+x9enQ6Bsc/geKTF/HdGS3+Z1j3n4GI3EcURTS2NUpyb1WgCoLg+M+cTZs24dFHH0VxcTEOHDiA2bNnIzExEbNmzQIAtLa24umnn0ZycjJqampQUFCA6dOn46OPPgIAnD59GrfffjsyMzNRVFSE8PBwfP3112hra7O6V1FREe677z4899xzmD17NgBgy5YtWLp0Kf7617/i1ltvxdatW/HCCy+gf//+ZucWFhYiPDzcVLSxvr4e2dnZGDVqFEpKSlBTU4Pf/va3yM/Px8aNG536zF544QU8/fTTePLJJ/HPf/4Tc+bMwZgxY5CcnIy6ujrcc889uPPOO/Hmm2+ioqICc+fOder6zjpw4AB+//vfY/Pmzbjllltw8eJFfPnll3aPnzZtGs6fP4/du3cjKCgIBQUFNkc9nnrqKTz33HN4/vnnsWbNGkydOhU///wzIiMjodfrcfXVV+Odd95B37598Z///AezZ89GXFwcJk2a5M7HNePR4OX8+fPQ6XSIiYkx2x4TE4OjR4+a3mdlZeGbb75BfX296UMaNWqUzWsuXLgQBQUFpvdarRYJCQnueQAn1Vw2dFkKgVpAqTb0mlyh6JBhN6N/pNOBS4giBOlNTTgUYp0591DNIUy4QQUAOHLGds9LQ0ubqSp1+V+yoVayzBWRpzW2NWLkWyMluff+h/ZDHeTgKgIACQkJePHFFyEIApKTk3H48GG8+OKLpuBl5syZpmMHDBiAl19+GSNGjEBdXR169eoFjUaDiIgIbN26FUFBQQCA66+/3uo+7777LqZNm4bXXnsNkydPNm1fs2YNHn30UcyYMQMAsHjxYnz66admPSgAEBoaitdeew1KpRIAsH79ejQ1NeGNN95AaKjhZ/Arr7yCnJwcrFixwur7qDN33XUXfve73wEAnnjiCbz44ov4/PPPkZycjLfeegt6vR6vv/46QkJCMHjwYPzyyy+YM2eOw9d31qlTpxAaGop77rkHYWFhuOaaa5Cenm7z2KNHj2LXrl0oKSnB8OHDAQCvvfYaBg60Lgw8ffp0TJkyBQDw7LPP4uWXX0ZxcTHGjx+PoKAgsw6D/v37Y+/evfjHP/7h0eDFK1cb7dq1C+fOnUNDQwN++eUXu4ELAAQHByM8PNzs5S2MwUtAkOuHskKDg7DpbA32n6w0vXb//Itp/w1xhn+k5We00LOiNBH10M0332zWUzNq1CgcP34cOp2hFltpaSlycnKQmJiIsLAwjBkzBoDhCxYAysrKMHr0aFPgYsv+/fvxwAMPYPPmzWaBCwAcO3YMGRkZZtss3wPA0KFDTYELAHz//fdITU01BS4AcOutt0Kv1+PYsWOOPj4A4MYbbzT9XhAExMbGmnouvv/+e9x4440I6fAfys6+u4z+93//F7169TK9Tp06hQkTJphts+fOO+/ENddcgwEDBuCRRx7Bli1b0NDQYPPYY8eOITAwEDfddJNp23XXXYc+ffp0+pyhoaEIDw8366HRaDQYNmwY+vXrh169emHdunWmP2dP8eh/t6OioqBQKFBdXW22vbq6GrGxsT26tkajgUajMf1D8gbtw0ZumIcTpIaQcDPUlfts7h7QJwDBgQGoa27DqYsNSIoKtXkcEUlHFajC/of2S3ZvVzEOzWRnZ2PLli3o168fTp06hezsbNOkWZWq6/tde+216Nu3LzZs2IC7776700DHno5BiqMCAgLM5u8AhmEwS5btEQQBen3PVnT+5S9/wfz5803vMzMzsWLFCowc2XWPXFhYGA4ePIjdu3fj008/xeLFi/HnP/8ZJSUl6N27d7fb1Nlzbt26FfPnz8cLL7yAUaNGISwsDM8//zz27/fs32OP9rwolUoMGzYMhYWFpm16vR6FhYUORaidycvLQ3l5OUpKSnraTJcxGzayYDYRtztDNoIAzNwJPHmm/TX3W9PuwAABg4yTdm0MHek69MYUV1w0e09EniEIAtRBaklezsx3AWD15bRv3z4MHDgQCoUCR48exYULF7B8+XKMHj0agwYNsppLceONN+LLL7+0GRQYRUVFoaioCCdOnMCkSZPMjk1OTrb6+e7Iz/sbbrjBNA3B6Ouvv0ZAQIBpQm+/fv1w9uxZ036dTocjR450eW3L+3z77bdoamoybdu3z/Z/LjuKjo7GddddZ3oFBgbiqquuMtvWmcDAQGRlZeG5557Dt99+i5MnT6KoqMjquOTkZLS1tZlNIj5x4gR+/fVXq2M78/XXX+OWW27B7373O6Snp+O6666zO+nanVwevNTV1aGsrMyUlKeiogJlZWWmLqWCggKsX78emzZtwvfff485c+agvr7eNI4pJ+eu9LwEuLDQohlBMK0+Mrzax68b2xqRHGt4b7niaOeRs8ha9YXp/fS/l+C2FUXYeeQsiIhsOXXqFAoKCnDs2DG8/fbbWLNmjWlCamJiIpRKJdasWYOffvoJ77//vlV+kfz8fGi1Wjz44IM4cOAAjh8/js2bN1sN3URHR6OoqAhHjx7FlClTTBN6H3vsMbz++uvYtGkTjh8/jmeeeQbffvttl0HY1KlTERISgtzcXBw5cgSff/45HnvsMTzyyCOm+S7jxo3Djh07sGPHDhw9ehRz5szBpUuXnPp8HnroIQiCgFmzZqG8vBwfffQRVq5c6dQ1nPXhhx/i5ZdfRllZGX7++We88cYb0Ov1pqCso0GDBiErKwuzZ89GcXExDh06hNmzZ0Olcm7i9sCBA3HgwAF88skn+OGHH7Bo0SJJOg1cHrwcOHAA6enppklDBQUFSE9Px+LFiwEAkydPxsqVK7F48WKkpaWhrKwMO3fudGrSlC0ajQYpKSkYMWJEj5/BVapNPS+eX66c+e5deK/yFQDAtm+/NnWJ7jxyFnPePIhqbbPZ8VW1TZjz5kEGMERk07Rp09DY2IiMjAzk5eVh7ty5ppVA/fr1w8aNG/HOO+8gJSUFy5cvt/ri7tu3L4qKilBXV4cxY8Zg2LBhWL9+vc2hodjYWBQVFeHw4cOYOnUqdDodpk6dioULF2L+/Pm46aabUFFRgenTp5vNMbFFrVbjk08+wcWLFzFixAjcf//9uOOOO/DKK6+Yjpk5cyZyc3Mxbdo0jBkzBgMGDMDYsWOd+nx69eqFDz74AIcPH0Z6ejr+9Kc/mS3zdofevXvj3//+N8aNG4cbbrgBa9euxdtvv43BgwfbPP6NN95ATEwMbr/9dtx7772YNWsWwsLCuvwMO/p//+//4b777sPkyZMxcuRIXLhwwTSJ2ZME0XKgz8dptVpERESgtrZWksm7HZc+3rx0D7RNOqgHrMKBh7dBrY5y772b65C7Md20AknXeBUaTj4GQVGHI0vuQUigGretKMLZ2iab5wsw5Jv56olxrEJN5GJNTU2oqKhA//79nfqyIPvuvPNOxMbGYvPmzVI3xSf98ssvSEhIwK5du3DHHXd45J6d/Ttw5vub62NdSBRFTPt4GsrOlUHUB6Ku6RkAbhw2siAIAjadrUGjIABzv8UlvYhbnvsGoq4XBi/+FICy0/NFAGdrm1BccRGjru3rkTYTETmioaEBa9euRXZ2NhQKBd5++23s2rXLlM+Fumbs+Ro6dCjOnj2L//u//0NSUhJuv/12qZvmNNkEL96w2qixtQFl58oAAGLblahRaEV6y69QKTzzPy0BgFoUgdVDAUFAQPBK6JvjYF220b6ay7Z7ZoiIpCIIAj766CMsXboUTU1NSE5Oxr/+9S9kZWVJ3TSf0draiieffBI//fQTwsLCcMstt2DLli3dWtUlNdkEL3l5ecjLyzN1O0miQ6bMl35pwm8BJOAi3gjqD0HpgaXKQWog4Wagw/LpgJDT0DfHIRB6WOextC06jF3aRORdVCoVdu3aJXUzfJpxObscyCZ48Ta149cD71UiLvF6CDM/MawMcjfj8unWK0mKGi5A8felaKsF9FfmZseEB1tN1jWdDsOcl45VrYmIiLyNV2bYlYOaRkOwEh2h9kzgYmS2fFqNgJDTAAARCgBA7qgk26dd+dV+VWsiIiLvIJvgxduWShuz68aESzsEowg+C0AP8cof9T9LDSUEggPN/+jtVbUmIiLyNrIJXrwtw64xu25MeLCk7WirHwjDOiKDn87XQwDwxIT2JEahwQp89cQ4Bi5EROQTZBO8eJv24EW6npfPvr+IptMPw/KPWYSIv3xQDmNQU9+sQ6uuZ/U5iIiIPIXBi5tIPWyk04tY9snPV95ZzmGxntNSZSdxHRF5n4aWNiQt2IGkBTvQ0OLoOkIi+WDw4gaiKH3PS3HFRVRpW2A/v4tgts9e1l0iIlsyMzMxb948qZtBfko2wYtXTdjVB6Ox1TAMI9WcF2cTzVVpG7s+iIi8gq9Vhd+9ezcEQXC62CGRPbIJXjw5YberLlv9ley6YSGBUCulSaXjbKI59rwQ+QZWhSeSUfDiTYylAaScrJvRPxJxESEQYO9/ZCKA9km6nPNC5P2kqgpfX1+PadOmoVevXoiLi8MLL7xgtn/z5s0YPnw4wsLCEBsbi4ceegg1NTUAgJMnT5oqNPfp0weCIGD69OmG59m5E7fddht69+6Nvn374p577sGPP/7olmcgeWHw4gbtwYt0y6QVAQKW5KQAEGzMejEENC89kIynJw4BwJ4XIimIooiGljaHXpebWrHk/e9s/nfEuO3P75fjclOrQ9cTRceHmh5//HF88cUXeO+99/Dpp59i9+7dOHjwoGl/a2srnn76aXzzzTfYvn07Tp48aQpQEhIS8K9//QsAcOzYMZw9exYvvfQSAENQVFBQgAMHDqCwsBABAQG49957oddz9SN1juUB3EDfeiV4kbhG0PghcXj14Zuw5P3vzP6nJgTWIjjmA9x5wyv4z0lDIUv2vBB5XmOrDimLP3HJtUQAVdomDP3zpw4dX/6XbIeGtevq6vD666/jzTffxB133AEA2LRpE66++mrTMTNnzjT9fsCAAXj55ZcxYsQI1NXVoVevXoiMNJQciY6ORu/evU3H/s///I/ZvTZs2IB+/fqhvLwcQ4YMceg5yD/JpudFmgm7IhrbGtHQ2oCG1gY0XinMaOp5iZC+wOH4IXHYVTDG9P5vU65H6HUrEBT+HQBDZl2APS9EZNuPP/6IlpYWjBw50rQtMjISycntiS5LS0uRk5ODxMREhIWFYcwYw8+cU6dOdXrt48ePY8qUKRgwYADCw8ORlJTk0HlEsul58XxVaRHqa9Yi852F1nuMwUuYtNl1jTrWKhp+TRiEMkN3cWNbI3qHGv4KnK9rRkubHspA2cSzRF5PFaRA+V8cq/JbXHER0//e9YKEjTNGOFRcVRWkcOi+XamvrzdVK96yZQv69euHU6dOITs7Gy0tLZ2em5OTg2uuuQbr169HfHw89Ho9hgwZ0uV5RLIJXjxOaIFC/bPNXeqWXtBC+rpGXcl89y6IIgDhGUAMRLW2EQmRoVI3i8hvCILg8IrE0QP7IS4iBFW1TTbnvRirwo8e2M+lxVWvvfZaBAUFYf/+/UhMTAQA/Prrr/jhhx8wZswYHD16FBcuXMDy5cuRkJAAADhw4IDZNZRKJQBAp9OZtl24cAHHjh3D+vXrMXr0aADAV1995bJ2k7zxv9ndoNOLUIptaK1NRVv9ABSePI39JytNrzBdXwBAtBcGLyGKEKQ3tQ8RCYJhDgwAnLxYK1WziKgL7ZPw7efMdkdV+F69euHRRx/F448/jqKiIhw5cgTTp09HQIDh6yMxMRFKpRJr1qzBTz/9hPfffx9PP/202TWuueYaCIKADz/8EOfOnUNdXR369OmDvn37Yt26dThx4gSKiopQUFDg0raTfDF4cZIxx0ILQtF0ZgoaT81GTuBW7PnvMuCPP+Omxtdxui0MQPt8Em8iCAI2na0xBFoPfI7dk3YjIMgQtFTXNts8h6nIibyDcRJ+tMVKRndXhX/++ecxevRo5OTkICsrC7fddhuGDRsGAOjXrx82btyId955BykpKVi+fDlWrlxpdv5VV12Fp556CgsWLEBMTAzy8/MREBCArVu3orS0FEOGDMEf/vAHPP/8825pP8kPh42cYMyxYNllW3O5FXO2fofVD6ahCe0BS79e3jHnxZIAQC2KQKAKEARTz0uV1nbwQkTeY/yQONx6XZRpVdHGGSNcPlRkqVevXti8eTM2b95s2vb444+bfj9lyhRMmTLF7BzLpdiLFi3CokWLzLZlZWWhvLy80/OIbGHPi4N0ehFPfVDeaY6FZR8dNW2LDFX6zORXU88Lgxcin9AxUMnoH+nWwIXIG7HnxUHFFRc7XU5szLFg1M9LVhp1qqUBCBAgBGoB2B82IiLvolYG4uTyu6VuBpFkZBO8aDQaaDQas9nsruRsoUNvWSbdqZXXGYaNIscDMA++iIiIvJVvjGs4wN2FGZ0tdGg5oc5rBKmBhJvNNrVP2GXwQkRE3k82PS/uZix02FmOhZjwEFPvRT+JSwN0ZNXFPHMn0Npg+H3DBQj/fBAAcK6uFW06PQIVsolpiYhIhvgt5aDOciwAhjkvC+8aZHof7c3DRoIAKEOvvNQQAusA6KAXgXN1nPdC5E5cTUP+zFV//xm8OMFejgUACA8JxOiBUab3UlaUdpYgiKZJuycvXDLVauIPWSLXCQoKAgA0NDRI3BIi6Rj//hv/PXQXh42cZMyxMOzP7yIg/n1AUY8+tXNwVtuKzfvaywXUaJuh04s+s4RRCKqF2NYHM3b8EUHhhwEA6dHp2DR+E3T69iCmuOKi23NKEMmRQqFA7969UVNTAwBQq9UQBP47Iv8giiIaGhpQU1OD3r17Q6HoWW0tBi/doAgQoBB0CIz4BgCQn56AP73/E1Z/dtx0zJ8/KMff9vyEJTkpbst66QqqK+UC/hNUC30jILa2F7U8VHMI739zCs9+1P5c0/9egriIEK9/LiJvFBsbCwCmAIbI3/Tu3dv076AnGLy4gFppGH2zHGSpqm3CnDcPujVtd08ZywU81fYLNiIVD143B7+/8xlk/iMTrdrBmLf1iE8+F5E3EgQBcXFxiI6ORmtrq9TNIfKooKCgHve4GDF46SFRFLD801O298EwufepD8pxZ0qs1w61CAAScAEAcL6uDapAFURRQHN1jt2Mwr7wXETeSqFQuOyHOJE/4oTdHtI19Ee1tsXufhHA2domFFdc9FyjuiFOMLSv6kquF11Df4htve0e7yvPRURE8iOb4EWj0SAlJQUjRozw6H3FKxWku+Jshl5Pi70SvJy51IiUxZ84/FxT1u/zumrTrIJNRCRvsgle3J1h1x4h8LJDxzmbodfTjD0v5y43A6Ljz0VERORpsglepKJQVyAmXGkzcR1gmBsSFxGCjP6RnmyW0/rhEgIEoE0vIgTNUKgrIARe6vS5YsO9OyAjIiJ5YvDSQ4Ig4snsawy/t9x35dclOSleP6k1UNAjWjRM2t0U/BwEQURwzAedntMxozAREZGnMHhxgTtviLSZeTc2IsT7lxN3KNRonPdSLRp6iYLCv8PMW6OtTlEFKfDqwzfhzpQYz7WTiIjoCgYvLjJ+SBx2FYwxvd84YwS+emKcdwcugKHO0cydwJNnEHfDKADAgpbfmna/8d37AABFaDmC+u4CAAQHCsi6gYELERFJg8GLC3UcGsroH+n1Q0UmVwo1xvbpBQBogSHrrigKaKu7AQCgjNyH4H5FgKIelxrbUPrzr1K2mIiI/BiDFzKJizBMwBURgE1na/B6RSDEtgiolQo0np4EQdAjsNcxAMCu76ulbCoREfkxBi9kEhuhAgCIECAA+KrtJgDAbddFAaISABDYqxwA8Fl5NatOExGRJBi8kEl7z4vBZ/phAIBxg9on7Qb2+gFBCgEnLzTgx3P1nm4iERERgxdniKKIhtYGNLY1AgH2SwL4KmPeFhECTumjcVRMhCIAuP36KNMxQkALbh7QBwDw+VFWxiUiIs9jYUYHiaKIaR9PQ9m5MgBA4PXStscdYkxJ5wRs02UCAEYk9kZvtdLsuHE3ROHL4xdRxOCFiIgk4JU9Lx9++CGSk5MxcOBAvPbaa1I3BwDQ2NpgClw6Sm9qgkohj0yzysAA9O1lCFS26cYCALIG9bU6bmyyoSfm29O1nmscERHRFV4XvLS1taGgoABFRUU4dOgQnn/+eVy4cEHqZgFtjabf7v75F+w/WYn9JyuxKbA/BGWohA1zrZgwQ6K984gAANxxvXXwEqbWY+jVYTDM1zXMkCmuuAid3jsm8HZshze1i4iIXMPrgpfi4mIMHjwYV111FXr16oUJEybg008/lbpZZlS//wbqhaehXngawsxPDHlSZGDnkbNWk3Af+nsZPvv2Z6jQXhU78x+Z+F6758o7w7NP/3sJbltRhJ1HznqquTbtPHIWWau+ML33lnYREZHruDx42bNnD3JychAfHw9BELB9+3arYzQaDZKSkhASEoKRI0eiuLjYtO/MmTO46qqrTO+vuuoqnD592tXN7BmlGlCGGl4yClzmvHkQzW16s+1Vl5sw75/fY1Xg60hvMgQwrdrBaNOmWV2jqrYJc948KFmgYHyGam2zV7WLiIhcy+XBS319PVJTU6HRaGzu37ZtGwoKCrBkyRIcPHgQqampyM7ORk0NJ39KRacX8dQH5bA1uCIiAICIv7Q+gg1nzuE/Fb8g4vKjsC5D2b7E+qkPyj0+VNP5MxhI0S4iInI9lwcvEyZMwDPPPIN7773X5v5Vq1Zh1qxZmDFjBlJSUrB27Vqo1Wps2LABABAfH2/W03L69GnEx8fbvV9zczO0Wq3Zi5xTXHERZ2ub7O4XEYCziEKJfhCO6JJRrbW/TFwEcLa2CcUVF93QUvu6fgZp2kVERK7n0TkvLS0tKC0tRVZWVnsDAgKQlZWFvXv3AgAyMjJw5MgRnD59GnV1dfj444+RnZ1t95rLli1DRESE6ZWQkOD255Cbmsv2v/TNjkNv1KC3S6/pKg4/g4fbRURErufR4OX8+fPQ6XSIiTGvSBwTE4OqqioAQGBgIF544QWMHTsWaWlp+OMf/4i+fa1XvBgtXLgQtbW1pldlZaVbn0GOosMcW+odjUuIxiWXXtNVHH4GD7eLiIhczyuT1P3mN7/Bb37zG4eODQ4ORnBwMDQaDTQaDXQ6nZtbJz8Z/SMRFxGCqtomm3NGBAAiRGQEHAUAxIUHo0rbbPfY2IgQZPSPdGOLrTnyDFK0i4iIXM+jPS9RUVFQKBSorjavSFxdXY3Y2NgeXTsvLw/l5eUoKSnp0XX8kSJAwJKcFADW03CN75VohUIQoRBELLnruitbRZvHLr4nBYoAz67C6vgMlowtWZLj+XYREZHreTR4USqVGDZsGAoLC03b9Ho9CgsLMWrUKE82hSyMHxKHVx++CdHhwWbbYyNCsPrBNCjQvoR6fEo/rH5wCBBgMX8k8BKCr9qMt395QpKK08Zn6KMOMtseGxGCVx++CeOHxHm8TURE5HouHzaqq6vDiRMnTO8rKipQVlaGyMhIJCYmoqCgALm5uRg+fDgyMjKwevVq1NfXY8aMGT26L4eNem78kDjcel0Uhv7ZkBRw44wRGD2wH5rbdFhgcexvUhOxungjKn4ajoCQUwiO3gmFugKCIOJQDdDY1gh1kFqSZ4AI/O+Wg2bPwB4XIiL5cHnwcuDAAYwdO9b0vqCgAACQm5uLjRs3YvLkyTh37hwWL16MqqoqpKWlYefOnVaTeJ2Vl5eHvLw8aLVaRERE9Oha/qzjl3xG/0i7X/qCIOChQQ9j6U9HoW+6Cl9NfxMQWpD5j0wPtdS+AAefgYiIfJPLg5fMzMwuhwzy8/ORn5/v6luThwmm7MIKqAJVgKCQtD1EROQfvHK1EXm5lgbDr7rmzo8jIiJyA9kEL5zz4kErDauNlG13ApgBy1VHRERE7uR1VaW7i0ul3asRwSjRX29zX8eVSKbj2xrR0NqAhtYGSVYeERGRfMmm54XcTcADLUtQ/v+NhloZaBg6Wj7H7tEdJ+6mR6dj0/hNHebIEBERdZ9sel7IEwRAGXrlZb0MWhWoQnp0utX2QzWH0NjW6IkGEhGRH5BNz4s3zHlRKwNxcvndkt3fXRx9LkEQsGn8JlOg0tjW6BVLp4mISF5k0/PCOS/eQRAEqIPUUAepDcuniYiIXEw2wQsRERH5BwYvRERE5FMYvBAREZFP4YRd8gjL1UaqQBWXThMRUbfIJnhhYUbvZrnqiLlfiIiouzhsRD2mgA5oqW9/Xcmoay/vC8DcL0RE1H2y6Xkh6dwZcBDqldPbNyTcDMzcaZX3BWDuFyIi6jkGL9Q9QWroeycB523sq9wHtDYAylBT3hciIiJXkc2wkUajQUpKCkaMGCF1U/yDIKAtw1DbaKd+BBrmnwLmn5C4UURE5A9kE7www64Erky21UFht95RZ1h5moiIuoPDRiQZVp4mIqLukE3PC/kGVp4mIqKeYs8LuUdLQ/vvg9SmISZWniYiop5i8ELusfK69t9fWTrdMYDhCiQiIuouDhuR6wSpDYGKJePS6S50nMDLSbxERGQPe17IdQTB0MNiDFRaGsx7YLrAEgJEROQI2fS8MM+LlxCEK8umHVs6zRICRETkLNn0vLAwo29iCQEiInKWbIIX8l2cwEtERM6QzbARERER+QcGL0RERORTOGxEXq3jXBhVoIorj4iIiMELeTfWPyIiIkscNiKvw/pHRETUGfa8kGe0WGTY7VDvyBLrHxERUWcYvJBnWGbatah3ZMne8mnLnhfOgyEi8j+yCV40Gg00Gg10Op3UTSEjY62jyn3W+4z1jpShTl2SJQSIiEg2wQsz7Hohy1pHgNP1joD2OTCHag5Z7TPOg2GSOyIi/yGb4IW8lLHWUY8uwRICRETUjsEL+QRnSgiIEN3cGiIikhKXShMREZFPYc+Lg1SKEOw/WWn6PdldKOS4jsunO1k63RXLFUgiO16IiGSNwYuDBEGA2vityJUtrtFx4m4XS6c7Yzn3JSFgPIBMW4cSEZEMcNjIUUFq4MkzhhdXtnSfcfm0JePSaQfZy8ILABXan7rbOiIi8gHseXGUC1bNEKyXT3dj6bThMlyBRETkrxi8kOe5KBB0ZgUSERHJB4eNSMb0aGxrhMgZvEREssLghWQrIOQMMt+5Bbk7cxnAEBHJiFcGL/feey/69OmD+++/X+qmkCe1NAAt9e0vJwMOe5N4jSUEiIhIHrxyzsvcuXMxc+ZMbNq0SeqmkCc5WXnaknES74eHT+Gxt45A3xRn2sdq1ERE8uGVwUtmZiZ2794tdTPIE1xceVoQBCgVSuM703ZWoyYikg+nh4327NmDnJwcxMfHQxAEbN++3eoYjUaDpKQkhISEYOTIkSguLnZFW0mOjEunjTl0njwDzD/hqovjxqg0m3s4lERE5Luc7nmpr69HamoqZs6cifvuu89q/7Zt21BQUIC1a9di5MiRWL16NbKzs3Hs2DFER0cDANLS0tDW1mZ17qeffor4+PhuPAb5NLfl0BGwLmsDhIBW0xbmgiEi8n1OBy8TJkzAhAkT7O5ftWoVZs2ahRkzZgAA1q5dix07dmDDhg1YsGABAKCsrKx7rbWhubkZzc3NpvdardZl1ybfx1wwRETy49LVRi0tLSgtLUVWVlb7DQICkJWVhb1797ryVibLli1DRESE6ZWQkOCW+xAREZF3cGnwcv78eeh0OsTExJhtj4mJQVVVlcPXycrKwgMPPICPPvoIV199daeBz8KFC1FbW2t6VVZWdrv95IU6Lp9mrhYiIoKXrjbatWuXw8cGBwcjODgYGo0GGo0GOp3OjS0jj3NR5WlbOk7Y5dJpIiLf4dLgJSoqCgqFAtXV1Wbbq6urERsb68pbWcnLy0NeXh60Wi0iIiLcei9yM3vLp7uxdLozHSfucuk0EZHvcOmwkVKpxLBhw1BYWGjaptfrUVhYiFGjRrnyViRnlsunXbZ0mll4iYjkwOmel7q6Opw40f5lUlFRgbKyMkRGRiIxMREFBQXIzc3F8OHDkZGRgdWrV6O+vt60+shdOGwkM25aPm3MwmsMVLh0mojI9zgdvBw4cABjx441vS8oKAAA5ObmYuPGjZg8eTLOnTuHxYsXo6qqCmlpadi5c6fVJF5X47CRn2hpMH8fpHZ6DgyXTxMR+Tang5fMzMwuK/Tm5+cjPz+/240isquH9Y+IiMj3eWVVaSIzxgm8thgn8RIRkd/wyqXS3cE5LzJmnMDbMUhpabDuhekhVp4mIvINsgleOOdF5txW/6gdK08TEfkGDhuRX7O3dBrg8mkiIm8lm54Xou6wXDoNmC+fZhZeIiLvI5vghXNeqLs6WzrNLLxERN5HNsNGeXl5KC8vR0lJidRNIR/HLLxERN5NNj0v5McsE9f1sPg0s/ASEXk3Bi/k+yyWTAf1mQRgYo8uySy8RETeSzbDRhqNBikpKRgxYoTUTSFP6CRxXcD5o267bWNbIxpaG0yvrrJNExGR68mm54V5XvyMhxLXWWIuGCIi6cmm54X8kDFxnellPswjQA+01Nt+OdFjwlwwRETeRTY9L0SWBgs/Q70y0fZOJwo6MhcMEZF3YfBC8mGcB3PSgUKNxoKODpYcYC4YIiLvweCF5OPKPJjmb38G3v4O34nXoGH+KaiVHf6au2hejHEo6VDNIbPtxmEkrlQiInIf2QQvzLBLAAwBTGAwAEBEwJW5MK7/a85cMERE0pHNhF1m2CVPMw4lqYPUUAWqpG4OEZHfkE3PC5E3EkXR5mokTuwlIuo+Bi9ELtYxWMndmYujF62T5nFiLxFR9zF4IXIxR+a+cGIvEVH3yWbOC5GUOktkNyhyEPY/tB/7H9qP3ZN2e7ZhREQyxJ4X8l8dq1EHqR1KWGePrUR2RpzfQkTkWrIJXrhUmpzWMd+LExl37WElaiIiz5DNsBGXSpNRp2WL7FWjNmbc9aCOFapZnZqIyHGy6Xkhz/PJgRDLatQeqERtD8sKEBF1j2x6XogcZlaN2rPDPPYm9rI6NRGR49jzQuRBLCtARNRzDF6IPIwTe4mIeobDRkRERORTGLwQERGRT+GwEZEXslXQkcnuiIgMGLwQeYmuCjpyOTURkQGDFyJbRNE6aV0PSwh0patVRyzmSERkIJvgheUByGVEEdiQDVTuN9/ughIClox5Xw7VHLLaNyhykGlZNZdTExG1k03wkpeXh7y8PGi1WkREREjdHPJlrQ3WgQvQXkJAGeqyW7GgIxGR82QTvBC5xfwThl/dWELAmbwvnMRLRMTghahzHi4f0BXL4SNO4iUif8Q8L0RGLQ1AS73hVy9irx4SYF4TSRRFU5Xqji9WrCYiuWHPC5GRRNWlu2JrXozlJF5RFDHt42koO1dmdT57Z4hIbtjzQv4tSG1YRWRLws2G/V7AOC/G+FIFqsz2N7Y12gxcAFasJiL5Yc8L+TdBMCx/tszpArg9r4u77J60G6pAFZdYE5FsMXghEgSXLn+WmipQxUR2RCRrDF6IusuRLLy2jrF1XA9wSIiI/A2DF6LucCQLr71jLI/rIWeGhmwVfASYL4aIfAuDFyJnGJdRtziQhddepl7L47rBXlmB9Oh0q8m8RlyRRERy4XXBS2VlJR555BHU1NQgMDAQixYtwgMPPCB1s4gMbC2ndiQL7/wThoR3LQ0uWZJtr6xAZz0ojqxI4lwZIvIFXhe8BAYGYvXq1UhLS0NVVRWGDRuGu+66C6Gh8plQST7GuJy6cp/1voSbgdAo2/NaOlKqXT4p2JmyApa4IomIfJnXBS9xcXGIi4sDAMTGxiIqKgoXL15k8ELSkeFyaq5IIiJf5nSSuj179iAnJwfx8fEQBAHbt2+3Okaj0SApKQkhISEYOXIkiouLu9W40tJS6HQ6JCQkdOt8IpcxLqe2fPlg4EJE5OucDl7q6+uRmpoKjUZjc/+2bdtQUFCAJUuW4ODBg0hNTUV2djZqampMx6SlpWHIkCFWrzNnzpiOuXjxIqZNm4Z169Z147GIiIhIrpweNpowYQImTJhgd/+qVaswa9YszJgxAwCwdu1a7NixAxs2bMCCBQsAAGVlZZ3eo7m5GRMnTsSCBQtwyy23dHlsc3Oz6b1Wq3XwSYiIiMgXubS2UUtLC0pLS5GVldV+g4AAZGVlYe/evQ5dQxRFTJ8+HePGjcMjjzzS5fHLli1DRESE6cUhJiIiInlzafBy/vx56HQ6xMTEmG2PiYlBVVWVQ9f4+uuvsW3bNmzfvh1paWlIS0vD4cOH7R6/cOFC1NbWml6VlZU9egYiOWpsa2QmXiKSDa9bbXTbbbdBr9c7fHxwcDCCg4Oh0Wig0Wig0+nc2DoiF2rpsHrJzauWuByaiOTEpT0vUVFRUCgUqK6uNtteXV2N2NhYV97KSl5eHsrLy1FSUuLW+xC5zMrrgGfjDa8N4w3lBFzImIXXUmdZeImIfIFLe16USiWGDRuGwsJCTJw4EQCg1+tRWFiI/Px8V96KyHt1LCFgyV7Cux6WC7ClO1l4iYh8gdPBS11dHU6cOGF6X1FRgbKyMkRGRiIxMREFBQXIzc3F8OHDkZGRgdWrV6O+vt60+shdOGxEXqOz9P+WCe9cVC7A/u26n4WXiMhbOR28HDhwAGPHjjW9LygoAADk5uZi48aNmDx5Ms6dO4fFixejqqoKaWlp2Llzp9UkXlfLy8tDXl4etFotIiIi3HovIitdlRDoGEAYE955GfbQEJGvcDp4yczMhNjF2Hx+fj6Hici/yKCEgOWkXlaaJiJv5dIJu0R+zZUlBEQRaKk3f7l4Qi9gf1Iv0F5pmojI23jdUunu4pwXkg1RBDZkA5X7zbcn3Gzo3XFhT4itSb2sNE1E3k42PS9cKk2y0dpgHbgA7SuSXMw4qdf44jJqIvJ2sul5IZKl+VdW9jmyIkkU3TbnRhRFm0NInNRLRFJg8ELkzZQOLnO2N9QE9Hi4SRRFTPt4GsrOlVnt46ReIpKCbIIXznkhv2CZ+M7Yq2JvqAnoUQI8Y00kW4EL0D6pVx2kdmvvjK1rs9eHyH/JJnhhnhfyeZ1l5jWyHD4y9qp0NP+EocfGBQnwLCfu7p60G6pAldmkXmNQkbszF0cvHrW6Rk97Z+z1/LDXh8h/ySZ4IfJ59gKNzhLg2ZrEq1T3KAmecfn0oZpDZtvTo9MRGRJpFSx0tTKpY+9Md9jr+enpdYnIdzF4IZKSI5l5bSXA626vigOTeh2piWQvwBkUOQibxm8C4J4l17sn7QbAKtlE/k42wQvnvJCR61O5uZGjmXldUVLAiUm9XdVEkqroI5dxExEgo+CFc17IZ3mq1pGLJ/Wy6CMRSUU2wQtJgBMlfZcLJ/USEXkagxcif9TDSb1ERFJi8EJEbtdxbgzzsxBRTzF4ISK367g6iPlZiKinZFOYUaPRICUlBSNGjJC6KUSE9uXUloz5WYiIuks2PS9cbUTkXSyXUzua98WyFAADHSKyJJvghYi8j7PLqTsrAklEZMTghYgk1bGnpbMikOlRN0Kl16NR1+TB1hGRN2LwQkSS6aynxVgEEqIIbP5vqEo+hFBylSG/UFKC8QKebTAReQUGL0TkcV31tJgVgWypBypLbF+orZH5aoj8EIMXIl/XYqMukpezNXHX1NOCTnLBzD9hCFjeu9vNLSQibyab4IWFGclv+Uh6f3uVqAGLnpbOKNVAAPPDEPk72QQvXCpNfiVIbagEXbnPfHvCzYZ9XsheJWqAWXeJyDmyCV6I/IogADN3GipBdxSk9uqCmaxETUSuwOCFyFcJgt9PVm1sazQL4NiDQ+QfGLwQkc/KfPcus/esm0TkH2RT24iI/INKEYL0JtuJ6lg3icg/sOeFiHyKIAjYdLYGjYIAPH4CCFI7XDeJiOSBwQsR+RwBgFoUgUCV1eoqy54XzoMhkh8GL0QkK5Y9MJwHQyQ/nPNCRD7PmADPFs6DIZIf9rwQkc+zlQCP82CI5Es2wQvLAxD5NybAI/Ifshk2ysvLQ3l5OUpK7FSfJSIiIlmQTc8LEVF3iKLIFUpEPobBCxH5LVEUMe3jaSg7V2a2nSuUiLwbgxci8huWvSyNbY1WgQvQvkKJc2iIvBODFyJ/0NLg/DFdVagWReuq1rZ4SaVre70sRrsn7QZgnSeGiLwPgxcif7DyOuePSbgZmLnTduAhisCGbKByf9fX7ew6HmSvlwUwDBNFhkQyHwyRj2DwQiRXQWpD4FC5z3x7ws3tKfXtHQMYtrU2AMpQ632tDY4FLl1dRyK7J+2GKlBleu+pCbq2Jgd78v5EcsHghUiuBMHQ42E5tNNxGMfWMS0NjvXUGM0/AShtzA1x9joepApUeXw+S2fDVpwgTOQcBi9EciYIXfd4OHJMZ5Rqr+pVscUbhoM6G7biBGEi5zB4ISLZ87ZJuMZhK5YwIOoe2WTYJSLqyF6xxvTodLP5LlIwDltJ3Q4iX+V1PS+XLl1CVlYW2tra0NbWhrlz52LWrFlSN4uIfIytYo2Ab06OZRZgInNeF7yEhYVhz549UKvVqK+vx5AhQ3Dfffehb9++UjeNyP90zP3Sk3wtnV2nq3wxjuSoscOTxRrdFWAwCzCRNa8LXhQKBdRqww+b5uZmiKIIURQlbhWRn+q4Wqgn+VrsXceZfDFezJ0BBrMAE1lzes7Lnj17kJOTg/j4eAiCgO3bt1sdo9FokJSUhJCQEIwcORLFxcVO3ePSpUtITU3F1VdfjccffxxRUVHONpOIusuY+8WSMV+LK6/jTL6YjvlpPEwURTS0Npi9Ov6nqqsAw1V2T9ptygRM5M+c7nmpr69HamoqZs6cifvuu89q/7Zt21BQUIC1a9di5MiRWL16NbKzs3Hs2DFER0cDANLS0tDW1mZ17qeffor4+Hj07t0b33zzDaqrq3Hffffh/vvvR0xMjM32NDc3o7m52fReq9U6+0hE1JFl7pfu5mtx9jr28sUYSVRmwNleFXeWGeAEXyIDp4OXCRMmYMKECXb3r1q1CrNmzcKMGTMAAGvXrsWOHTuwYcMGLFiwAABQVlbm0L1iYmKQmpqKL7/8Evfff7/NY5YtW4annnrKuYcgos71NPdLd67jpflinB22YYBB5H4uXSrd0tKC0tJSZGVltd8gIABZWVnYu3evQ9eorq7G5cuXAQC1tbXYs2cPkpOT7R6/cOFC1NbWml6VlZU9ewgiIjs4bEPkHVw6Yff8+fPQ6XRWQzwxMTE4evSoQ9f4+eefMXv2bNNE3cceewxDhw61e3xwcDCCg4N71G4iIkewV4XIO3jdaqOMjAyHh5U60mg00Gg00Ol0rm8UEfkd40RbT5cWsFxy7Q2lDYi8jUuDl6ioKCgUClRXV5ttr66uRmxsrCtvZSUvLw95eXnQarWIiIhw672ISP6kSNvfWfFGImrn0jkvSqUSw4YNQ2FhoWmbXq9HYWEhRo0a5cpbEdnHtEDUTfZKCgCeKSvQWfFGbyhrQOQtnO55qaurw4kTJ0zvKyoqUFZWhsjISCQmJqKgoAC5ubkYPnw4MjIysHr1atTX15tWH7kLh408j3k9SXKOZN/taol1hwy/AoBN4/6KRkGwOqe72XK7O/xkLN5obKNKFCG0NgAcRiJyPng5cOAAxo4da3pfUFAAAMjNzcXGjRsxefJknDt3DosXL0ZVVRXS0tKwc+dOu3laXIXDRkR+yJH8M51lBraR4VcAoO5JNmEL3R1+MhZvtGqjIABJCYbfM/s4+Smng5fMzMwu0/Xn5+cjPz+/240iIrLLmLm3cp9jxxsz+trKIWMvw29n53Rgr1fFOPx0qOaQ1TlOD/90loW4rdErc+MQuZvXrTYiIuqUZeZee5zNDDz/ynC4E+fY61WxV9Ea6GGxxvknDAHLe3d373wimZBN8MI5L0R+xFUZgDvqrDRBB472qrilorVSDQRwthmRbIIXznkhIk9wW68KETlMNsELEZGnuKVXhYgc5tI8L1LSaDRISUnBiBEjpG4KERERuZFsgpe8vDyUl5ejpKRE6qYQERGRG3HYiIjIRzW2NZqtuuKcG/IXDF6IiHxU5rt3mb1Pj07HpvGbGMCQ7Mlm2IiIyB+oFCFIb2qyue9QzSFWoSa/IJueF+Z5ISJ/IAgCNp2tMdRfevwEEKRGY1ujJFWwiaQim54XTtglIn8hAFCLItRX6h+x2jT5G9kEL0REROQfGLwQERGRT5HNnBciImoniiJLGJBsMXghIpIZURQx7eNpKDtXZrWPy6lJDmQTvHC1EZEHtDSY/yr1dZwlimZJ3Ry+v+V5ABCkNlS37skxnS1rbm0wHN+Nz6ixrdFm4AK0L6dmbSZyhKjXo7Hpos19qpBICAHSzD6RTfDCqtJEHrDyOu+6jjNEEdiQDVTud815CTcDM3cagpPuHiMIQFICAKDRMvB5/jrDOT20e9JuqAJVXE5NThP1ekx7YzjKhFab+/c/8DnU6igPt8pANsELEblJkNrwJVy5z3pfws2G/Z68Tne1NtgPXIz3twwgOjuvcp9hnzK0Z8dckfnO2M7b31kbO6G6spyayFmNTRftBi5SY/BCRJ0TBEPvga0vTcthEU9cxxXmnwCUHb7QHb3//BOGXzvrOXL0GKUaquZ6pL91Kw6FhJjtTm9qgqrgByA41Pk2ErnB7rv/BZU60mybKiTSztHux+CFiLomCIbeA2+5Tk8p1d1rh9KBHgxHj1GGQgDMs+UCwPPXQSWKEIJDveOzIgKgUkdKNkRkC4MXIiIJGbPlwpgl1wXzXIjkjknqiIiIyKfIJnjRaDRISUnBiBEjpG4KERERuZFsghcWZiQiIvIPsgleiIiIyD8weCEiIiKfwuCFiIiIfAqDFyIiIvIpzPNCRCQjjZ0Ve7RxjCpQZVZhWhRFm9ewPM6SvfOcvQ6RIxi8EBHJiCPFFzsekx6djk3jN0EQBIiiiGkfT7NZkbrjcZY6O8+Z6xA5isNGREQ+ThWoQnp0utX29Oh0qK5k7rV3zKGaQ6Yek8a2RrsBSMfjLHV2njPXIXIUe16IiHycIAjYNH6TVVDQcYjG8pjGtsZOe2l2T9oNVaCqy+PsnWfJ2esQdYbBCxGRDAiCAHVQ50UhHTnGSBWocvhYV5xH5AzZDBuxPAAREZF/kE3PS15eHvLy8qDVahERESF1c4iIyI7OVju5iitXTXGFlPeRTfBCRES+wd5qJ1dx9aoprpDyPrIZNiIiIu/lyGonV3H1qimukPI+7HkhIiK3c3a1k6v0ZNUU4FjeHPI8Bi9EROQRzqx2cpWerJoi78VhIyIiIvIpDF6IiIjIp3DYiIjIz3Wch+IIy+XEnp7M2t1l0F1dp7vP7+i9uQzbdRi8kOyIEKVuApFPcWZSqjNFGN3BkWXQPb1Od87rajk1l2G7FoeNqNv4b43Id9lbugyYF3S01Nky5M7Oc5XuLoN25jrdef6u7s1l2K7ltT0vDQ0NuOGGG/DAAw9g5cqVUjeHiEhW7BVzBBwfyrAswujpIZDuLoO2dx0jZ54fcH45NZdh95zXBi9Lly7FzTffLHUziIhkq6dLl6Uuwuiq+3t6OTWXYfecVw4bHT9+HEePHsWECROkbgoRERF5GaeDlz179iAnJwfx8fEQBAHbt2+3Okaj0SApKQkhISEYOXIkiouLnbrH/PnzsWzZMmebRkRERH7A6eClvr4eqamp0Gg0Nvdv27YNBQUFWLJkCQ4ePIjU1FRkZ2ejpqbGdExaWhqGDBli9Tpz5gzee+89XH/99bj++uu7/1REREQkW07PeZkwYUKnwzmrVq3CrFmzMGPGDADA2rVrsWPHDmzYsAELFiwAAJSVldk9f9++fdi6dSveeecd1NXVobW1FeHh4Vi8eLHN45ubm9Hc3Gx6r9VqnX0kIiIi8iEunfPS0tKC0tJSZGVltd8gIABZWVnYu3evQ9dYtmwZKisrcfLkSaxcuRKzZs2yG7gYj4+IiDC9EhISevwcRERE5L1cGrycP38eOp0OMTExZttjYmJQVVXlyluZLFy4ELW1taZXZWWlW+5DRERE3sFrl0oDwPTp07s8Jjg4GMHBwe5vDBGRn3NXMrWurutPKfTtlT6w5E+fiS0uDV6ioqKgUChQXV1ttr26uhqxsbGuvJUVjUYDjUYDnU7n1vsQEfkrdyVV6+q6/pJC35mSBf7ymdjj0mEjpVKJYcOGobCw0LRNr9ejsLAQo0aNcuWtrOTl5aG8vBwlJSVuvQ8RkT+xV0agp6UAOitPYMlfUuh3VrLAkr98JvY43fNSV1eHEydOmN5XVFSgrKwMkZGRSExMREFBAXJzczF8+HBkZGRg9erVqK+vN60+IiIi32GvjEBPhy06K09g1NO0/77MsmSBkT9/Jh05HbwcOHAAY8eONb0vKCgAAOTm5mLjxo2YPHkyzp07h8WLF6OqqgppaWnYuXOn1SReV+OwERGRe/S0jICnrysHUpde8HZOBy+ZmZkQRbHTY/Lz85Gfn9/tRnVHXl4e8vLyoNVqERER4dF7ExERked4ZW0jIiIiIntkE7xoNBqkpKRgxIgRUjeFiIiI3Eg2wQtXGxEREfkH2QQvRERE5B8YvBAREZFPkU3wwjkvRERE/kE2wQvnvBAREfkH2QQvRERE5B8YvBAREZFPYfBCREREPkU2wQsn7BIREfkHp2sbeSvWNiIiki9j9enOqlA7st/d9/cWoii6vBK4N5FN8EJERPKV+Y9Mlx7nrvt7A1EUMe3jaSg7V2a2PT06HZvGb5JFACObYSMiIpIXVaAK6dHpNvelR6dDFajq9LiOx7jz/t6msa3RKnABgEM1h3ym56gr7HkhIiKvJAgCNo3fZPMLt+MQiL3jejpM4uj9vdnuSbsB+FbPkSMYvBARkdcSBAHqILXLjnPX/b2Vt/YO9ZRsho242oiIiMg/yCZ4YXkAIiIi/yCb4IWIiIj8A4MXIiIi8ikMXoiIiMinMHghIiIin8LghYiIiHyKbIIXLpUmIiLyD7IJXrhUmoiIyD/IJnghIiIi/8DghYiIiHwKgxciIiLyKQxeiIiIyKfIrqq0KIoAAK1WK3FLfFNDSxv0zQ0ADJ9hm9L+X5HG+ssOH+tJDXXe2S7ysJZ6oNnw8wDGnwcd3yt1XZ+j1Dl2ne4c4+h5jrSRutTQ2gBdo+GzMn4/dHzfFtTmkuvau44j93fkWt05prvP2tBwucN5l9HWpnTovO4yttX4Pd4ZQXTkKB/yyy+/ICEhQepmEBERUTdUVlbi6quv7vQY2QUver0eZ86cQVhYGARB6PZ1tFotEhISUFlZifDwcBe2kDri5+wZ/Jw9g5+zZ/Bz9gxPf86iKOLy5cuIj49HQEDns1pk158eEBDQZcTmjPDwcP7j8AB+zp7Bz9kz+Dl7Bj9nz/Dk5xwREeHQcZywS0RERD6FwQsRERH5FAYvdgQHB2PJkiUIDg6Wuimyxs/ZM/g5ewY/Z8/g5+wZ3vw5y27CLhEREckbe16IiIjIpzB4ISIiIp/C4IWIiIh8CoMXIiIi8ikMXmzQaDRISkpCSEgIRo4cieLiYqmbJCvLli3DiBEjEBYWhujoaEycOBHHjh2Tulmyt3z5cgiCgHnz5kndFNk5ffo0Hn74YfTt2xcqlQpDhw7FgQMHpG6WrOh0OixatAj9+/eHSqXCtddei6efftqhOjjUuT179iAnJwfx8fEQBAHbt2832y+KIhYvXoy4uDioVCpkZWXh+PHj0jT2CgYvFrZt24aCggIsWbIEBw8eRGpqKrKzs1FTUyN102Tjiy++QF5eHvbt24fPPvsMra2t+K//+i/U19dL3TTZKikpwd/+9jfceOONUjdFdn799VfceuutCAoKwscff4zy8nK88MIL6NOnj9RNk5UVK1bg1VdfxSuvvILvv/8eK1aswHPPPYc1a9ZI3TSfV19fj9TUVGg0Gpv7n3vuObz88stYu3Yt9u/fj9DQUGRnZ6OpqcnDLe1AJDMZGRliXl6e6b1OpxPj4+PFZcuWSdgqeaupqREBiF988YXUTZGly5cviwMHDhQ/++wzccyYMeLcuXOlbpKsPPHEE+Jtt90mdTNk7+677xZnzpxptu2+++4Tp06dKlGL5AmA+O6775re6/V6MTY2Vnz++edN2y5duiQGBweLb7/9tgQtNGDPSwctLS0oLS1FVlaWaVtAQACysrKwd+9eCVsmb7W1tQCAyMhIiVsiT3l5ebj77rvN/l6T67z//vsYPnw4HnjgAURHRyM9PR3r16+Xulmyc8stt6CwsBA//PADAOCbb77BV199hQkTJkjcMnmrqKhAVVWV2c+PiIgIjBw5UtLvRdkVZuyJ8+fPQ6fTISYmxmx7TEwMjh49KlGr5E2v12PevHm49dZbMWTIEKmbIztbt27FwYMHUVJSInVTZOunn37Cq6++ioKCAjz55JMoKSnB73//eyiVSuTm5krdPNlYsGABtFotBg0aBIVCAZ1Oh6VLl2Lq1KlSN03WqqqqAMDm96JxnxQYvJCk8vLycOTIEXz11VdSN0V2KisrMXfuXHz22WcICQmRujmypdfrMXz4cDz77LMAgPT0dBw5cgRr165l8OJC//jHP7Blyxa89dZbGDx4MMrKyjBv3jzEx8fzc/ZDHDbqICoqCgqFAtXV1Wbbq6urERsbK1Gr5Cs/Px8ffvghPv/8c1x99dVSN0d2SktLUVNTg5tuugmBgYEIDAzEF198gZdffhmBgYHQ6XRSN1EW4uLikJKSYrbthhtuwKlTpyRqkTw9/vjjWLBgAR588EEMHToUjzzyCP7whz9g2bJlUjdN1ozffd72vcjgpQOlUolhw4ahsLDQtE2v16OwsBCjRo2SsGXyIooi8vPz8e6776KoqAj9+/eXukmydMcdd+Dw4cMoKyszvYYPH46pU6eirKwMCoVC6ibKwq233mq11P+HH37ANddcI1GL5KmhoQEBAeZfWQqFAnq9XqIW+Yf+/fsjNjbW7HtRq9Vi//79kn4vctjIQkFBAXJzczF8+HBkZGRg9erVqK+vx4wZM6Rummzk5eXhrbfewnvvvYewsDDTuGlERARUKpXErZOPsLAwq3lEoaGh6Nu3L+cXudAf/vAH3HLLLXj22WcxadIkFBcXY926dVi3bp3UTZOVnJwcLF26FImJiRg8eDAOHTqEVatWYebMmVI3zefV1dXhxIkTpvcVFRUoKytDZGQkEhMTMW/ePDzzzDMYOHAg+vfvj0WLFiE+Ph4TJ06UrtGSrXPyYmvWrBETExNFpVIpZmRkiPv27ZO6SbICwObr73//u9RNkz0ulXaPDz74QBwyZIgYHBwsDho0SFy3bp3UTZIdrVYrzp07V0xMTBRDQkLEAQMGiH/605/E5uZmqZvm8z7//HObP5Nzc3NFUTQsl160aJEYExMjBgcHi3fccYd47NgxSdssiCLTExIREZHv4JwXIiIi8ikMXoiIiMinMHghIiIin8LghYiIiHwKgxciIiLyKQxeiIiIyKcweCEiIiKfwuCFiIiIfAqDFyIiIvIpDF6IiIjIpzB4ISIiIp/C4IWIiIh8yv8Pq1+GoGcoMPIAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.errorbar(bin_centers, c, yerr=error, marker=\"o\",label=\"data\")\n", - "plt.yscale(\"log\")\n", - "plt.step(sim_bin[1:],c_bkg_sim_normalized,label=\"background\")\n", - "plt.step(sim_bin[1:],(c_bkg_sim_normalized+c_sig_sim_normalized),label=\"background + signal\")\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Calculate TPR / FPR\n", - "\n", - "Next we want to think about how we could use this feature to alter counting of signal and backgrounds in a way that is most favorable to signal. As we see, signal events have larger values of our feature, so if we select events with high values of this feature, we'll be left with a sample with a more favorable signal to background ratio. Now the question is, what threshold value should we select?\n", - "\n", - "First, lets compute the probability of signal and background passing the \"threshold cut\", as function of where we place the \"cut\". These probabilties are know as the True Positive Rate (TPR) and False Positive Rate (FPR).\n", - "\n", - "To to this, we have to integrate (actually just count) from the threshold to postive infinity:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Plot the signal distribution\n", - "_=plt.hist(df_sig[\"M_TR_2\"],bins=100,histtype=\"step\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can just count and sum above a selected threshold... this operation is referred to as a cumlative sum. \n", - "\n", - "`matplotlib` will actually do this in one step using the `cumulative` argument: " - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "TPR,bins_sig,_=plt.hist(df_sig[\"M_TR_2\"],bins=100,histtype=\"step\",cumulative=1,density=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "That's not right... it's going the wrong direction... try again:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(FPR,TPR)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Compute Significance" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that we now the FPR and TPR, we can compute the statistical significance of a counting experiment after selection above a threshod of our feature.\n", - "\n", - "Assume 3 different scenarios corresponding to different numbers of signal and background events expected in data:\n", - "\n", - "1. Expect $N_S=10$, $N_B=100$.\n", - "1. Expect $N_S=100$, $N_B=1000$.\n", - "1. Expect $N_S=1000$, $N_B=10000$.\n", - "1. Expect $N_S=10000$, $N_B=100000$.\n", - "\n", - "Plot the significance ($\\sigma_{S'}$) for each observable as function of $x_c$ for each scenario, where \n", - "\n", - "$\\sigma_{S'}= \\frac{N'_S}{\\sqrt{N'_S+N'_B}}$\n", - "\n", - "and $N'_{S,B} = \\epsilon_{S,B}(x_c) * N_{S,B}$." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "n_bkg_expected = 10000\n", - "n_sig_expected = 1000\n", - "\n", - "n_sig_expected_prime = n_sig_expected * TPR\n", - "n_bkg_expected_prime = n_bkg_expected * FPR\n", - "\n", - "sig = n_sig_expected_prime/ np.sqrt(n_sig_expected_prime + n_bkg_expected_prime )\n", - "plt.step(bins_sig[:-1],sig)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.3321864132769405" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "bins_sig[np.argmax(sig)]" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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bin i N sig N bkg sig x_c
10 3.74939 4.98907 1.268361.33219
10 37.4939 49.8907 4.010921.33219
10 74.9879 99.7813 5.672291.33219
10 112.482 149.672 6.947111.33219
10 149.976 199.563 8.021831.33219
10 187.47 249.453 8.968681.33219
10 374.939 498.907 12.6836 1.33219
103749.39 4989.07 40.1092 1.33219
" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from IPython.display import HTML, display\n", - "import tabulate\n", - "display(HTML(tabulate.tabulate(max_sigs.values(), \n", - " tablefmt='html',\n", - " headers=[\"bin i\",'N sig','N bkg','sig','x_c'])))" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": {}, - "outputs": [], - "source": [ - "def compare_significance(scenarios,log=False):\n", - " max_sigs=dict()\n", - " table=list()\n", - " \n", - " for name, (n_sig_expected, n_bkg_expected) in scenarios.items():\n", - "\n", - " n_sig_expected_prime = n_sig_expected * TPR\n", - " n_bkg_expected_prime = n_bkg_expected * FPR\n", - "\n", - " sig = n_sig_expected_prime/ np.sqrt(n_sig_expected_prime + n_bkg_expected_prime )\n", - " plt.step(bins_sig[:-1],sig,label=name+\" \"+str((n_sig_expected, n_bkg_expected)))\n", - " \n", - " max_i=np.argmax(sig)\n", - " max_sigs[name]=(max_i,n_sig_expected_prime[max_i],n_bkg_expected_prime[max_i],sig[max_i],bins_sig[max_i])\n", - " table.append((name,n_sig_expected, n_bkg_expected, \n", - " TPR[max_i],FPR[max_i],\n", - " n_sig_expected_prime[max_i],n_bkg_expected_prime[max_i],sig[max_i],bins_sig[max_i],max_i)\n", - " )\n", - " if log:\n", - " plt.yscale(\"log\")\n", - " plt.legend()\n", - " plt.show()\n", - " \n", - " display(HTML(tabulate.tabulate(table, tablefmt='html',\n", - " headers=[\"Name\",'N sig','N bkg',\"TPR\",\"FPR\",\"N sig'\",\"N bkg'\",'sig','x_c',\"bin i\"])))\n", - " return max_sigs\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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Zl35ubi40Gg369+8vtcnLy5Mdl5ubi8TERLuuZUssV69eRWFhobRtx44dMBqNSEhIkNrs3r1btvhnbm4u+vTpg+DgYLviLS4uRlxcnFPvwZMx+SAiIqsyMjLwwQcfYMOGDQgICIBWq4VWq0V1dbXVY8aNG4fr169LRaINzp8/j6KiIpw/fx719fUoKipCUVGRNHdGcnIy+vfvj4cffhjffvstvvrqKyxZsgQZGRlQq9UAgCeffBLff/895s+fj1OnTmH16tX4+OOP8dRTT9l1X1qtFkVFRTh9+jQA4NixYygqKsLly5cBAP369cOECRPw+OOP45tvvsHXX3+NzMxMTJkyRapneeihh6BSqTBjxgwcP34cH330EV577TVkZWVJ15k9eza2b9+OP//5zzh16hSee+45HDp0CJmZmbJ49uzZg+TkZLvuoU1z/kCcluFQW9ech4hcpy0PtQVg8ZWTk9PkcQ8++KBYuHChbFtaWprFc+3cuVNqc/bsWTFx4kTh5+cnQkNDxdNPPy0MBoPsPDt37hRDhw4VKpVK9OjRo1EsOTk5ormvt6VLlzZ7X7/88ouYOnWq6Ny5s9BoNGL69Oni2rVrsvN8++234s477xRqtVrceuutYsWKFY2u9fHHH4vevXsLlUolBgwYIL788kvZ/h9++EEolUpRVlbWZMyewFlDbRVCtHDclZPpdDoEBgaioqICGo3G3eE4jV6vx/LlywEAixcvlg3Ncsd5iMh1ampqUFpaitjY2A5TiHn06FHcfffdOHPmDDp37uzSay9duhT5+fnYtWuXS6/rqAULFuDKlSuyyck8VVM/y/Z8f/OxSxum1+tlLw/LI4moAxs8eDBeeukllJaWuvza27ZtszjNuacKDw/HCy+84O4wXIqjXdqwlStXyt5HR0cjPT2d68UQkUd49NFH3XJd8xEznu7pp592dwgux56PViKEaNQz4QxKpRLR0dEW95WVlcmqromIiDwRez5agRAC77//PsrKypx+boVCgfT0dFmSodfrG/WCEBEReSomH63AYDBYTTyio6OhVCpbdH6FQsFCUyIiarOYfLSyuXPnyhIFpVLJmgwiIurQmHy0MpVKxV4KIiIiEyw4JSIiIpdi8kFEREQuxeSDiIg8xsMPPyzN4kzW3X777fi///s/d4fhMLuSjzVr1mDw4MHQaDTQaDRITEzEtm3bpP1jx46FQqGQvZ588kmnB01ERK6RnZ2NkSNHIiAgAOHh4Zg0aRJKSkqaPOb48eO4//770b17dygUCrz66qs2Xevbb7/F1q1b8Yc//AHAjZGDCxYswKBBg9CpUydERUXhkUcewYULF2THXb58GdOmTYNGo0FQUBBmzJghLVbX4OjRo7jrrrvg6+uL6Ohou2dAdXUsmzZtQt++feHr64tBgwZh69atsv1LlizBwoULYTQa7boPT2FX8tG1a1esWLEChYWFOHToEH71q1/h3nvvla1c+Pjjj+PixYvSqy1NcUtERHL5+fnIyMjA/v37kZubC4PBgOTkZFRWVlo9pqqqCj169MCKFSsQGRlp87XeeOMNPPDAA9JaMFVVVTh8+DCeeeYZHD58GJ9++ilKSkrwv//7v7Ljpk2bhuPHjyM3NxdbtmzB7t27MXPmTGm/TqdDcnIyYmJiUFhYiFdeeQXPPfecXWupuDKWffv2YerUqZgxYwaOHDmCSZMmYdKkSSguLpbaTJw4EdeuXZN1ALQpLV3hLjg4WLz77rtCCCHGjBkjZs+e3aLztYdVbV298ixXuiXybG15VVtzly5dEgBEfn6+Te1jYmLEX//612bb1dXVicDAQLFly5Ym233zzTcCgDh37pwQQogTJ04IAOLgwYNSm23btgmFQiF+/PFHIYQQq1evFsHBwbLfjwsWLBB9+vSx6R5cHcuDDz4oUlNTZddKSEgQTzzxhGzb9OnTxW9/+9sW3YO9nLWqrcM1H/X19di4cSMqKyuRmJgobf/www8RGhqKgQMHYtGiRaiqqmryPLW1tdDpdLIXEVF7J4RAlaHK5S/RwgUoKyoqAAAhISHO+BgkR48eRUVFBUaMGNHs9RUKBYKCggAABQUFCAoKkh2XlJQELy8vHDhwQGozevRo2bQHKSkpKCkpwZUrVxyOubViKSgoQFJSkuxaKSkpKCgokG2Lj4/Hnj17HI7fneye5+PYsWNITExETU0NOnfujM2bN6N///4AgIceeggxMTGIiorC0aNHsWDBApSUlODTTz+1er7s7GwsW7bM8TsgImqDquuqkbAhweXXPfDQAfgr/R061mg0Ys6cORg1ahQGDhzo1LjOnTsHb29vhIeHW21TU1ODBQsWYOrUqdKS7VqtttExPj4+CAkJgVarldrExsbK2kREREj7goOD7Y63NWPRarXSNtM2DedoEBUVhbKyMhiNRnh5ta3xI3YnH3369EFRUREqKirwySefIC0tDfn5+ejfv7/sudagQYPQpUsXjB8/HmfOnMFtt91m8XyLFi1CVlaW9F6n01ldOI2IiNwnIyMDxcXF2Lt3r9PPXV1dDbVabXUGaIPBgAcffBBCCKxZs8bp17eHp8Ti5+cHo9GI2tpa+Pn5uS0OR9idfKhUKvTs2RMAMHz4cBw8eBCvvfYa3nrrrUZtExJuZPWnT5+2mnyo1Wqo1Wp7wyAiatP8fPxw4KEDbrmuIzIzM6UCyq5duzo5KiA0NBRVVVXQ6/WNZoVu+LI/d+4cduzYIfU0AEBkZCQuXboka19XV4fLly9Lxa6RkZEoLy+XtWl4b09BrKtisdbGPNbLly+jU6dObS7xAJwwz0dD1mVJUVERAKBLly4tvQwRUbuiUCjgr/R3+cvetaWEEMjMzMTmzZuxY8eORo8MnGXo0KEAgBMnTsi2N3zZf/fdd/j3v/+NW265RbY/MTERV69eRWFhobRtx44dMBqN0h/AiYmJ2L17t2w18NzcXPTp08euRy6uiiUxMRF5eXmyc+fm5srqKwGguLgYcXFxNsfvSexKPhYtWoTdu3fj7NmzOHbsGBYtWoRdu3Zh2rRpOHPmDF544QUUFhbi7Nmz+Pzzz/HII49g9OjRGDx4cGvF7zGEENDr9dKLiKg9yMjIwAcffIANGzYgICAAWq0WWq0W1dXVUptHHnkEixYtkt7r9XoUFRWhqKgIer0eP/74I4qKinD69Gmr1wkLC8OwYcNkj3QMBgN+85vf4NChQ/jwww9RX18vXb/h92y/fv0wYcIEPP744/jmm2/w9ddfIzMzE1OmTEFUVBSAG/WIKpUKM2bMwPHjx/HRRx/htddekz3yb44rY5k9eza2b9+OP//5zzh16hSee+45HDp0CJmZmbKY9uzZg+TkZJvvwaPYM8QmPT1dxMTECJVKJcLCwsT48ePFv/71LyGEEOfPnxejR48WISEhQq1Wi549e4p58+bZPWS2LQ61NRqN4t1335WGu5q+ONSWiNryUFsAFl85OTlSmzFjxoi0tDTpfWlpqcVjxowZ0+S1Vq9eLW6//fZmzwNA7Ny5U2r3yy+/iKlTp4rOnTsLjUYjpk+fLq5duyY797fffivuvPNOoVarxa233ipWrFgh279z504BQJSWllqMzZWxCCHExx9/LHr37i1UKpUYMGCA+PLLL2X7f/jhB6FUKkVZWVlTH6nTOWuorUKIFo67cjKdTofAwEBUVFTInqV5Mr1eb3E64OjoaKSnp9vdzdmS6y9evJir6BJ5mJqaGpSWliI2Nha+vr7uDsdjVVdXo0+fPvjoo48aPWJobTk5OVi+fDlOnDgBpVLp0ms7YsGCBbhy5YpdE6U5Q1M/y/Z8f9tdcEpNmzt3rvTlr1QqWz3xICJqL/z8/PC3v/0NP//8s8uvvXXrVixfvrxNJB4AEB4ebtdjI0/D5MPJVCoVex6IiBw0duxYt1x306ZNbrmuo55++ml3h9AibWtWEiIiImrzmHwQERGRSzH5ICIiIpdi8kFEREQuxYLTdsZ0gjOOtiEiIk/E5KOdWblypfRvV80zQkREZA8+dmkHlEqlxZWAy8rKZOsHEBEReQL2fLQDCoUC6enpUqKh1+tlPSBERG3F6NGj8eSTT+Khhx5ydygeS6/Xo3fv3vjkk08wYsQId4fjEPZ8OECYLSLnCQvJKRQKaYIzTnJGRM6SnZ2NkSNHIiAgAOHh4Zg0aRJKSkqaPOadd97BXXfdheDgYAQHByMpKQnffPNNs9f6/PPPUV5ejilTpkjbnnjiCdx2223w8/NDWFgY7r33Xpw6dUp23Pnz55Gamgp/f3+Eh4dj3rx5qKurk7XZtWsXhg0bBrVajZ49e2LdunW2fwhuiGXVqlXo3r07fH19kZCQIPv8VCoV5s6diwULFth9D56CyYedhBB4//33sXz5cunFXgYiaq/y8/ORkZGB/fv3Izc3FwaDAcnJyaisrLR6zK5duzB16lTs3LkTBQUFiI6ORnJyMn788ccmr/X6669j+vTp8PK6+dU0fPhw5OTk4OTJk/jqq68ghEBycjLq6+sBAPX19UhNTYVer8e+ffuwfv16rFu3Ds8++6x0jtLSUqSmpmLcuHEoKirCnDlz8Nhjj+Grr76y67NwVSwfffQRsrKysHTpUhw+fBhDhgxBSkoKLl26JLWZNm0a9u7di+PHj9t1Dx7DuevdtZynr2pruoKs+evdd98VRqPR3SFylVsiD9OWV7U1d+nSJQFA5Ofn23xMXV2dCAgIEOvXr2/yvAqFQhQXFzd5rm+//VYAEKdPnxZCCLF161bh5eUltFqt1GbNmjVCo9FIv//mz58vBgwYIDvP5MmTRUpKis334MpY4uPjRUZGhvS+vr5eREVFiezsbNlx48aNE0uWLGnRPdjLWavasuajBUwXkQM4tJWIbCeEgKiudvl1FX5+Lfo9VVFRAQAICQmx+ZiqqioYDIYmj9m7dy/8/f3Rr18/q20qKyuRk5OD2NhYqci+oKAAgwYNQkREhNQuJSUFs2bNwvHjxxEXF4eCggIkJSXJzpWSkoI5c+bYfA+uikWv16OwsBCLFi2S9nt5eSEpKQkFBQWy4+Lj47Fnzx6H78GdmHy0AOsriMhRoroaJcOGu/y6fQ4XQuHv79CxRqMRc+bMwahRozBw4ECbj1uwYAGioqIafemaOnfuHCIiImSPXBqsXr0a8+fPR2VlJfr06YPc3Fzpd69Wq5V92QOQ3mu12ibb6HQ6VFdXw8/Pz+Z7ae1Yrly5gvr6eottzOtLoqKicO7cOZtj9ySs+SAiIptkZGSguLgYGzdutPmYFStWYOPGjdi8eTN8fX2ttquurra6f9q0aThy5Ajy8/PRu3dvPPjgg6ipqbE7fmfwpFj8/PxQVVXllmu3FHs+iIjcQOHnhz6HC91yXUdkZmZiy5Yt2L17N7p27WrTMStXrsSKFSvw73//G4MHD26ybWhoKK5cuWJxX2BgIAIDA9GrVy/cfvvtCA4OxubNmzF16lRERkY2GklTXl4OAIiMjJT+27DNtI1Go7Gr18MVsXh7e8Pb29tim4ZzNLh8+TLCwsLsit9TsOeDiMgNFAoFvPz9Xf6yt95DCIHMzExs3rwZO3bsQGxsrE3Hvfzyy3jhhRewfft2m+aiiIuLg1artZqAmMYjhEBtbS0AIDExEceOHZONBMnNzYVGo0H//v2lNnl5ebLz5ObmIjEx0aZ7cWUsKpUKw4cPl7UxGo3Iy8trFG9xcTHi4uJadA/uwuSDiIisysjIwAcffIANGzYgICAAWq0WWq0W1SbFso888oisQPKll17CM888g/fffx/du3eXjrl+/brV68TFxSE0NBRff/21tO37779HdnY2CgsLcf78eezbtw8PPPAA/Pz88D//8z8AgOTkZPTv3x8PP/wwvv32W3z11VdYsmQJMjIyoFarAQBPPvkkvv/+e8yfPx+nTp3C6tWr8fHHH+Opp56y+XNwZSxZWVl45513sH79epw8eRKzZs1CZWUlpk+fLotpz549SE5OtvkePIpzB+G0XFsaauupw1jbQoxEHUlbHmoLwOIrJydHajNmzBiRlpYmvY+JibF4zNKlS5u81vz588WUKVOk9z/++KOYOHGiCA8PF0qlUnTt2lU89NBD4tSpU7Ljzp49KyZOnCj8/PxEaGioePrpp4XBYJC12blzpxg6dKhQqVSiR48esviFECInJ0c09ZXoyliEEOKNN94Q3bp1EyqVSsTHx4v9+/fL9u/bt08EBQWJqqoqqzG3BmcNtVUIIYQ7kh5rdDodAgMDUVFRAY1G4+5wGtHr9Vi+fDkAYPHixR452qUtxEjUkdTU1KC0tBSxsbFNFl12dFqtFgMGDMDhw4cRExPj0msvXboU+fn52LVrl0uv66jJkydjyJAhWLx4sUuv29TPsj3f33zsYgNhNp06ERE5X2RkJN577z2cP3/e5dfetm0bXn75ZZdf1xF6vR6DBg2y67GRp+Fol2aI/06nXlZW5u5QiIjavUmTJrnlurasPeMpVCoVlixZ4u4wWoQ9H80wGAwWE4/o6GgolUo3RERERNS2sefDDqbTqXMqdSIiIscw+bADp1MnIiJqOT52ISIiIpdi8kFEREQuxccuZoQQMBgM0nsOrSUiInIuJh8mOKyWiIio9fGxiwlrw2qBtju01nRyNL1eDw+b0JaISGb06NHYsGGDu8PwaHq9Ht27d8ehQ4fcHYrD7Eo+1qxZg8GDB0Oj0UCj0SAxMRHbtm2T9tfU1CAjIwO33HILOnfujPvvv7/RssCexHzmUtNHLHPnzsXixYulV3p6epscWrty5UosX75cer3//vtMQIjIZtnZ2Rg5ciQCAgIQHh6OSZMmoaSkpMljPv30U4wYMQJBQUHo1KkThg4dir///e/NXuvzzz9HeXk5pkyZ0mifEAITJ06EQqHAP//5T9m+8+fPIzU1Ff7+/ggPD8e8efNQV1cna7Nr1y4MGzYMarUaPXv2xLp165qNxxpXxLJq1Sp0794dvr6+SEhIkE2CplKpMHfuXCxYsMDhe3A3ux67dO3aFStWrECvXr0ghMD69etx77334siRIxgwYACeeuopfPnll9i0aRMCAwORmZmJ++67T7ZKobuY13IIIZCTkwOtVmuxfVseVqtUKhEdHW2xF6esrAwGg6HN3hsRuVZ+fj4yMjIwcuRI1NXVYfHixUhOTsaJEyfQqVMni8eEhITgj3/8I/r27QuVSoUtW7Zg+vTpCA8PR0pKitVrvf7665g+fTq8vBr/Xfzqq69a/AOwvr4eqampiIyMxL59+3Dx4kU88sgjUCqV0hpXpaWlSE1NxZNPPokPP/wQeXl5eOyxx9ClS5cm47GmtWP56KOPkJWVhbVr1yIhIQGvvvoqUlJSUFJSgvDwcADAtGnT8PTTT+P48eMYMGCA3ffgdi1d4S44OFi8++674urVq0KpVIpNmzZJ+06ePCkAiIKCApvP11qr2pqu9Nrc69133xVGo9Gp13c1o9Eoamtrpde1a9e40i2Rm7TlVW3NXbp0SQAQ+fn5dh0XFxcnlixZ0uR5FQqFKC4ubrTvyJEj4tZbbxUXL14UAMTmzZulfVu3bhVeXl5Cq9VK29asWSM0Go30u27+/PliwIABsnNOnjxZpKSk2HUProolPj5eZGRkSO/r6+tFVFSUyM7Olh03bty4Jj/T1uCsVW0dLjitr6/Hpk2bUFlZicTERBQWFsJgMCApKUlq07dvX3Tr1g0FBQW4/fbbLZ6ntrYWtbW10nudTudoSA6JjIzE9OnTZVlse5i9VKFQsHeDyIMJIVCnN7r8uj4qrxb9fquoqABwo3fDFkII7NixAyUlJXjppZesttu7dy/8/f3Rr18/2faqqio89NBDWLVqFSIjIxsdV1BQgEGDBiEiIkLalpKSglmzZuH48eOIi4tDQUGB7Lupoc2cOXNsugdXxqLX61FYWIhFixZJ+728vJCUlISCggLZcfHx8dizZ49d9+Ap7E4+jh07hsTERNTU1KBz587YvHkz+vfvj6KiIqhUKgQFBcnaR0REWH20Adx4nrhs2TK7A7eXUqm0uPRwe0g0iKjtqdMb8fbsfJdfd+ZrY6BUezt0rNFoxJw5czBq1CgMHDiwybYVFRW49dZbUVtbC29vb6xevRp333231fbnzp1DREREo0cuTz31FO644w7ce++9Fo/TarWyL3sA0vuG7x5rbXQ6Haqrq+Hn59fkvbgylitXrqC+vt5im1OnTsm2RUVF4dy5czbF7mnsTj769OmDoqIiVFRU4JNPPkFaWhry8x3/P9CiRYuQlZUlvdfpdIiOjnb4fNawJ4CIqGUyMjJQXFyMvXv3Nts2ICAARUVFuH79OvLy8pCVlYUePXpg7NixFttXV1fD19dXtu3zzz/Hjh07cOTIEWeE3yKeFEsDPz8/VFVVuTsMh9idfKhUKvTs2RMAMHz4cBw8eBCvvfYaJk+eDL1ej6tXr8p6P8rLyy12TzVQq9VQq9X2R05E1Ib5qLww87UxbrmuIzIzM7Flyxbs3r0bXbt2bba9l5eX9F0xdOhQnDx5EtnZ2VaTj9DQUFy5ckW2bceOHThz5kyjHvX7778fd911F3bt2oXIyEjZSBAA0ijLhu+eyMjIRiMvy8vLodFobO71cFUs3t7e8Pb2ttjG/Lv08uXLCAsLsyl+T9PieT6MRiNqa2sxfPhwKJVK5OXlSftKSkpw/vx5JCYmtvQyRETtikKhgFLt7fKXvY+ZhRDIzMzE5s2bsWPHDsTGxjp0vw3fFdbExcVBq9XKEpCFCxfi6NGjKCoqkl4A8Ne//hU5OTkAgMTERBw7dgyXLl2SjsvNzYVGo0H//v2lNqbfTQ1t7PluclUsKpUKw4cPl7UxGo3Iy8trFG9xcTHi4uJsvgePYk+V68KFC0V+fr4oLS0VR48eFQsXLhQKhUL861//EkII8eSTT4pu3bqJHTt2iEOHDonExESRmJhozyVabbRLR2c62oejXYhcqy2Pdpk1a5YIDAwUu3btEhcvXpReVVVVUpuHH35YLFy4UHq/fPly8a9//UucOXNGnDhxQqxcuVL4+PiId955x+p16urqRFhYmPjiiy+ajAdmI0zq6urEwIEDRXJysigqKhLbt28XYWFhYtGiRVKb77//Xvj7+4t58+aJkydPilWrVglvb2+xfft2Bz6R1o9l48aNQq1Wi3Xr1okTJ06ImTNniqCgINkoGiGEiImJEX/7299adA/2ctZoF7uSj/T0dBETEyNUKpUICwsT48ePlxKPhqB+97vfieDgYOHv7y9+/etfi4sXL9pzCSYfrYTJB5H7tOXkA4DFV05OjtRmzJgxIi0tTXr/xz/+UfTs2VP4+vqK4OBgkZiYKDZu3NjstebPny+mTJnSbDymX/hCCHH27FkxceJE4efnJ0JDQ8XTTz8tDAaDrM3OnTvF0KFDhUqlEj169JDFL4QQOTk5ws6/x1stFiGEeOONN0S3bt2ESqUS8fHxYv/+/bL9+/btE0FBQbIk0BWclXwohPCs6S51Oh0CAwNRUVEBjUbj7nDaDb1eL01ys3jxYhbfErlQTU0NSktLERsb26iokm7SarUYMGAADh8+jJiYGJdee+nSpcjPz8euXbtcel1HTZ48GUOGDLE4irM1NfWzbM/3N9d2ISIijxAZGYn33nsP58+fd/m1t23bhpdfftnl13WEXq/HoEGD8NRTT7k7FIdxVVsiIvIYkyZNcst1zUepeDKVSoUlS5a4O4wWYc8HERERuRSTDyIiInIpJh9ERETkUkw+iIiIyKWYfBAREZFLMfkgIiIil2LyQURERC7F5IOIiDzG6NGjsWHDBneH4dH0ej26d++OQ4cOuTsUhzH5ICIiq7KzszFy5EgEBAQgPDwckyZNQklJic3Hb9y4EQqFwqbJwz7//HOUl5djypQp0raxY8dCoVDIXk8++aTsuPPnzyM1NRX+/v4IDw/HvHnzUFdXJ2uza9cuDBs2DGq1Gj179sS6detsvgd3xLJq1Sp0794dvr6+SEhIkE2CplKpMHfuXCxYsMDue/AUTD6IiMiq/Px8ZGRkYP/+/cjNzYXBYEBycjIqKyubPfbs2bOYO3cu7rrrLpuu9frrr2P69Onw8pJ/NT3++OO4ePGi9DKdBr2+vh6pqanQ6/XYt28f1q9fj3Xr1uHZZ5+V2pSWliI1NRXjxo1DUVER5syZg8ceewxfffWVjZ+Ca2P56KOPkJWVhaVLl+Lw4cMYMmQIUlJScOnSJanNtGnTsHfvXhw/ftzue/AIzl/zrmW4qm3r4Kq2RO7Tlle1NXfp0iUBQOTn5zfZrq6uTtxxxx3i3XffFWlpaeLee+9t9rwKhUIUFxfLto8ZM0bMnj3b6nFbt24VXl5esuXm16xZIzQajfS7bv78+WLAgAGy4yZPnixSUlKajMmcq2KJj48XGRkZ0vv6+noRFRUlsrOzZceNGzdOLFmyxK57aClnrWrLng8iIjcQQsBQU+Pyl2jhQuYVFRUAgJCQkCbbPf/88wgPD8eMGTNsOu/evXvh7++Pfv36Ndr34YcfIjQ0FAMHDsSiRYtQVVUl7SsoKMCgQYMQEREhbUtJSYFOp5N6BQoKCpCUlCQ7Z0pKCgoKCmyKzZWx6PV6FBYWytp4eXkhKSmpUbzx8fHYs2eP3ffgCbiwXAek1+ulfyuVSigUCjdGQ9Qx1dXW4vW037j8un9Y/wmUZkuh28poNGLOnDkYNWoUBg4caLXd3r178d5776GoqMjmc587dw4RERGNHrk89NBDiImJQVRUFI4ePYoFCxagpKQEn376KQBAq9XKvuwBSO+1Wm2TbXQ6Haqrq+Hn52dTjK6I5cqVK6ivr7fY5tSpU7JtUVFROHfunE2xexomHx3QypUrpX9HR0cjPT2dCQgRNSsjIwPFxcXYu3ev1TbXrl3Dww8/jHfeeQehoaE2n7u6uhq+FpKimTNnSv8eNGgQunTpgvHjx+PMmTO47bbb7LuBFvKkWADAz89P1vPSljD56CCUSiWio6NRVlYm215WVgaDwQCVSuWmyIg6Jh+1Gn9Y/4lbruuIzMxMbNmyBbt370bXrl2ttjtz5gzOnj2Le+65R9pmNBpvXNvHByUlJRa/qENDQ3HlypVm40hISAAAnD59GrfddhsiIyNlI0EAoLy8HAAQGRkp/bdhm2kbjUZjc6+Hq2Lx9vaGt7e3xTYN52hw+fJlhIWFORy/OzH56CAUCgXS09NhMBgA3Hj0YtoDQkSupVAoHH784UpCCPz+97/H5s2bsWvXLsTGxjbZvm/fvjh27Jhs25IlS3Dt2jW89tpriI6OtnhcXFwctFotrly5guDgYKvnb3iU06VLFwBAYmIiXnzxRVy6dAnh4eEAgNzcXGg0GvTv319qs3XrVtl5cnNzkZiY2OS9NKc1YlGpVBg+fDjy8vKk4clGoxF5eXnIzMyUHVdcXIy4uLgW3YPbOL0UtoU42sU1OPqFyHXa8miXWbNmicDAQLFr1y5x8eJF6VVVVSW1efjhh8XChQutnsOW0S51dXUiLCxMfPHFF9K206dPi+eff14cOnRIlJaWis8++0z06NFDjB49WnbcwIEDRXJysigqKhLbt28XYWFhYtGiRVKb77//Xvj7+4t58+aJkydPilWrVglvb2+xfft2mz8HV8ayceNGoVarxbp168SJEyfEzJkzRVBQkGwUjRBCxMTEiL/97W8234MzOGu0C5OPDorJB5HrtOXkA4DFV05OjtRmzJgxIi0tzeo5bEk+hLgxDHXKlCnS+/Pnz4vRo0eLkJAQoVarRc+ePcW8efMafT+cPXtWTJw4Ufj5+YnQ0FDx9NNPC4PBIGuzc+dOMXToUKFSqUSPHj1k8QshRE5Ojmjq73FXxiKEEG+88Ybo1q2bUKlUIj4+Xuzfv1+2f9++fSIoKEiWBLqCs5IPhRAtHHflZDqdDoGBgaioqIBGo3F3OO2WXq/H8uXLAQCLFy9mzQdRK6qpqUFpaSliY2MtFlXSDVqtFgMGDMDhw4cRExPj0msvXboU+fn52LVrl0uv66jJkydjyJAhWLx4sUuv29TPsj3f35zng4iIPEJkZCTee+89nD9/3uXX3rZtm2y2Uk+m1+sxaNAgPPXUU+4OxWEsOCUiIo9hyxowrcF8lIonU6lUWLJkibvDaBH2fBAREZFLMfkgIiIil2LyQURERC7F5IOIiIhciskHERERuRSTDyIiInIpJh9ERETkUkw+iIjI6fR6PXr27Il9+/a5O5QOYfv27Rg6dKi0grCnsyv5yM7OxsiRIxEQEIDw8HBMmjQJJSUlsjZjx46FQqGQvZ588kmnBk1ERK6xZs0aDB48GBqNBhqNBomJidi2bVuzx61duxaxsbG44447pG0vvvgi7rjjDvj7+yMoKMjicefPn0dqair8/f0RHh6OefPmoa6uTtZm165dGDZsGNRqNXr27Il169Y1Os+qVavQvXt3+Pr6IiEhwaFJxP7whz9g+PDhUKvVGDp0qMU2R48exV133QVfX19ER0dbnCV106ZN6Nu3L3x9fTFo0KBGq9oKIfDss8+iS5cu8PPzQ1JSEr777jtZm8uXL2PatGnQaDQICgrCjBkzcP36dWn/hAkToFQq8eGHH9p9n+5gV/KRn5+PjIwM7N+/H7m5uTAYDEhOTkZlZaWs3eOPP46LFy9Kr7YyZS0REcl17doVK1asQGFhIQ4dOoRf/epXuPfee3H8+HGrxwgh8Oabb2LGjBmy7Xq9Hg888ABmzZpl8bj6+nqkpqZCr9dj3759WL9+PdatW4dnn31WalNaWorU1FSMGzcORUVFmDNnDh577DF89dVXUpuPPvoIWVlZWLp0KQ4fPowhQ4YgJSUFly5dsvv+09PTMXnyZIv7dDodkpOTERMTg8LCQrzyyit47rnn8Pbbb0tt9u3bh6lTp2LGjBk4cuQIJk2ahEmTJqG4uFhq8/LLL+P111/H2rVrceDAAXTq1AkpKSmoqamR2kybNg3Hjx9Hbm4utmzZgt27d2PmzJmyeB599FG8/vrrdt+jW7RkdbtLly4JACI/P1/aNmbMGDF79myHz8lVbV2Dq9oSuU5bXtXWkuDgYPHuu+9a3X/w4EHh5eUldDqdxf05OTkiMDCw0fatW7cKLy8v2dLxa9asERqNRvo9NX/+fDFgwADZcZMnTxYpKSnS+/j4eJGRkSG9r6+vF1FRUSI7O9um+zO3dOlSMWTIkEbbV69eLYKDg2W/QxcsWCD69OkjvX/wwQdFamqq7LiEhATxxBNPCCGEMBqNIjIyUrzyyivS/qtXrwq1Wi3+8Y9/CCGEOHHihAAgDh48KLXZtm2bUCgU4scff5S2nTt3TgAQp0+fdug+beGsVW1bVPNRUVEBAAgJCZFt//DDDxEaGoqBAwdi0aJFqKqqsnqO2tpa6HQ62YuIqL0TQsCor3f5S7RgIfP6+nps3LgRlZWVSExMtNpuz5496N27NwICAuw6f0FBAQYNGoSIiAhpW0pKCnQ6ndTTUlBQgKSkJNlxKSkpKCgoAHCjd6WwsFDWxsvLC0lJSVIbZykoKMDo0aNlq4KnpKSgpKQEV65csSne0tJSaLVaWZvAwEAkJCRIbQoKChAUFIQRI0ZIbZKSkuDl5YUDBw5I27p164aIiAjs2bPHqffZGhxeWM5oNGLOnDkYNWoUBg4cKG1/6KGHEBMTg6ioKBw9ehQLFixASUkJPv30U4vnyc7OxrJlyxwNg4ioTRIGIy486/pizKjn74BC5W3XMceOHUNiYiJqamrQuXNnbN68Gf3797fa/ty5c4iKirI7Nq1WK0s8AEjvtVptk210Oh2qq6tx5coV1NfXW2xz6tQpu2NqLt7Y2Fir8QYHB1uN1/R+TI+z1iY8PFy238fHByEhIVKbBlFRUTh37lwL76z1OZx8ZGRkoLi4GHv37pVtN30GNWjQIHTp0gXjx4/HmTNncNtttzU6z6JFi5CVlSW91+l0iI6OdjQscoBer5e9VyqVUCgUboqGiDxNnz59UFRUhIqKCnzyySdIS0tDfn6+1QSkuroavr6+Lo6SAMDPz6/Jpw2ewqHkIzMzUyp46dq1a5NtExISAACnT5+2mHyo1Wqo1WpHwiAnWblypex9dHQ00tPTmYAQtSKF0gtRz9/RfMNWuK69VCoVevbsCQAYPnw4Dh48iNdeew1vvfWWxfahoaE4duyY3deJjIxsNCqlvLxc2tfw34Ztpm00Gg38/Pzg7e0Nb29vi20azuEs1mKxJV7T/Q3bunTpImvTMMImMjKyUbFsXV0dLl++3OieLl++jLCwsBbeWeuz66dQCIHMzExs3rwZO3bsaNTdZElRUREAyD5Ucj+lUmm1h6msrAwGg8HFERF1LAqFAl4qb5e/nPFHhdFoRG1trdX9cXFxOHXqlN31JYmJiTh27JjsizY3NxcajUbqZUlMTEReXp7suNzcXKkGRaVSYfjw4bI2RqMReXl5TdapOCIxMRG7d++W/b7Mzc1Fnz59EBwcbFO8sbGxiIyMlLXR6XQ4cOCA1CYxMRFXr15FYWGh1GbHjh0wGo3SH/gAUFNTgzNnziAuLs6p99kq7KlynTVrlggMDBS7du0SFy9elF5VVVVCCCFOnz4tnn/+eXHo0CFRWloqPvvsM9GjRw8xevRom6/B0S6uYzQaRW1trfS6du0aR8AQtYK2PNpl4cKFIj8/X5SWloqjR4+KhQsXCoVCIf71r39ZPebnn38WSqVSHDt2TLb93Llz4siRI2LZsmWic+fO4siRI+LIkSPi2rVrQggh6urqxMCBA0VycrIoKioS27dvF2FhYWLRokXSOb7//nvh7+8v5s2bJ06ePClWrVolvL29xfbt26U2GzduFGq1Wqxbt06cOHFCzJw5UwQFBclG0djiu+++E0eOHBFPPPGE6N27txRvw+/Hq1evioiICPHwww+L4uJisXHjRuHv7y/eeust6Rxff/218PHxEStXrhQnT54US5cubfTZrFixQgQFBYnPPvtMHD16VNx7770iNjZW9vMyYcIEERcXJw4cOCD27t0revXqJaZOnSqLd+fOnaJz586isrLSrvu0h7NGu9iVfACw+MrJyRFCCHH+/HkxevRoERISItRqtejZs6eYN2+eXYkEkw/34fBbotbRlpOP9PR0ERMTI1QqlQgLCxPjx49vMvFo8OCDD4qFCxfKtqWlpVn8Dtm5c6fU5uzZs2LixInCz89PhIaGiqeffloYDAbZeXbu3CmGDh0qVCqV6NGjh/QdZOqNN94Q3bp1EyqVSsTHx4v9+/c3imXMmDFN3sOYMWMsxltaWiq1+fbbb8Wdd94p1Gq1uPXWW8WKFSsanefjjz8WvXv3FiqVSgwYMEB8+eWXsv1Go1E888wzIiIiQqjVajF+/HhRUlIia/PLL7+IqVOnis6dOwuNRiOmT58uJW0NZs6cKQ3hbS3OSj4UQrRg3FUr0Ol0CAwMREVFBTQajbvD6VD0ej2WL18OAFi8eLFs+BgROa6mpgalpaWIjY3tMIWYR48exd13340zZ86gc+fO7g6nkTFjxmDcuHF47rnn3B2KU/z888/o06cPDh06ZFNJhKOa+lm25/uba7sQEZHTDR48GC+99BJKS0vdHUojFRUVOHPmDObOnevuUJzm7NmzWL16dasmHs7k8FBbIiKipjz66KPuDsGiwMBA/PDDD+4Ow6lGjBghm4TM07Hng4iIiFyKyQcRERG5FJMPIiIicikmH0RERORSTD6IiIjIpZh8EBERkUsx+SAiIiKXYvJBREROp9fr0bNnT+zbt8/doZAdbr/9dvzf//1fq1+HyQcREdlkxYoVUCgUmDNnTrNt165di9jYWNxxxx3SthdffBF33HEH/P39ERQUZPG48+fPIzU1Ff7+/ggPD8e8efNQV1cna7Nr1y4MGzYMarUaPXv2xLp16xqdZ9WqVejevTt8fX2RkJCAb775Rra/pqYGGRkZuOWWW9C5c2fcf//9KC8vb/a+TF28eBEPPfQQevfuDS8vL6ufy6ZNm9C3b1/4+vpi0KBB2Lp1q2y/EALPPvssunTpAj8/PyQlJeG7776Ttbl8+TKmTZsGjUaDoKAgzJgxA9evX5e1OXr0KO666y74+voiOjoaL7/8st2xLFmyBAsXLoTRaLTrs7AXkw8iImrWwYMH8dZbb2Hw4MHNthVC4M0338SMGTNk2/V6PR544AHMmjXL4nH19fVITU2FXq/Hvn37sH79eqxbtw7PPvus1Ka0tBSpqakYN24cioqKMGfOHDz22GP46quvpDYfffQRsrKysHTpUhw+fBhDhgxBSkoKLl26JLV56qmn8MUXX2DTpk3Iz8/HhQsXcN9999n1mdTW1iIsLAxLlizBkCFDLLbZt28fpk6dihkzZuDIkSOYNGkSJk2ahOLiYqnNyy+/jNdffx1r167FgQMH0KlTJ6SkpKCmpkZqM23aNBw/fhy5ubnYsmULdu/ejZkzZ0r7dTodkpOTERMTg8LCQrzyyit47rnn8Pbbb9sVy8SJE3Ht2jVs27bNrs/Cbs5e8a6luKqt+3BVW6LW0ZZXtRVCiGvXrolevXqJ3NxcMWbMGDF79uwm2x88eFB4eXkJnU5ncX9OTo4IDAxstH3r1q3Cy8tLaLVaaduaNWuERqORfifNnz9fDBgwQHbc5MmTRUpKivQ+Pj5eZGRkSO/r6+tFVFSUyM7OFkIIcfXqVaFUKsWmTZukNidPnhQAREFBQZP3Zo21z+XBBx8Uqampsm0JCQnS6rNGo1FERkaKV155Rdp/9epVoVarxT/+8Q8hhBAnTpwQAMTBgwelNtu2bRMKhUL8+OOPQgghVq9eLYKDg2W/uxcsWCD69OljcywNpk+fLn77299avE9nrWrLng+ySK/XSy/hWQsfE7ULQgjZ/89c9XLk/88ZGRlITU1FUlKSTe337NmD3r17IyAgwK7rFBQUYNCgQYiIiJC2paSkQKfT4fjx41Ib8zhSUlJQUFAA4MbvrsLCQlkbLy8vJCUlSW0KCwthMBhkbfr27Ytu3bpJbZyluXhLS0uh1WplbQIDA5GQkCC1KSgoQFBQkGztlqSkJHh5eeHAgQNSm9GjR8tWI09JSUFJSQmuXLliUywN4uPjsWfPnpbeepO4sBxZtHLlSunf0dHRSE9Ph0KhcGNERO2LwWDA8uXLXX7dxYsXy76gmrNx40YcPnwYBw8etPmYc+fOISoqyu7YtFqtLPEAIL3XarVNttHpdKiursaVK1dQX19vsc2pU6ekc6hUqkZ1JxEREdJ1nMVavKb307CtqTbh4eGy/T4+PggJCZG1MV/R1vSzCw4ObjaWBlFRUSgrK4PRaISXV+v0UbDngyRKpRLR0dGNtpeVlcFgMLghIiJyp7KyMsyePRsffvghfH19bT6uurrarvbkWfz8/GA0GlFbW9tq12DPB0kUCgXS09OlREOv18t6QIjIeZRKJRYvXuyW69qqsLAQly5dwrBhw6Rt9fX12L17N958803U1tbC29u70XGhoaE4duyY3bFFRkY2GpXSMAIlMjJS+q/5qJTy8nJoNBr4+fnB29sb3t7eFtuYnkOv1+Pq1auy3g/TNs5iLV7TWBq2denSRdZm6NChUhvTYlkAqKurw+XLl5v9XEyv0VwsDS5fvoxOnTrBz8/P7vu1FXs+SEahUEClUkkvImod5v9fc9XLnsen48ePx7Fjx1BUVCS9RowYgWnTpqGoqMhi4gEAcXFxOHXqlN31JYmJiTh27JjsizY3NxcajQb9+/eX2uTl5cmOy83NRWJiIgBApVJh+PDhsjZGoxF5eXlSm+HDh0OpVMralJSU4Pz581IbZ2ku3tjYWERGRsra6HQ6HDhwQGqTmJiIq1evorCwUGqzY8cOGI1GJCQkSG12794t66XOzc1Fnz59EBwcbFMsDYqLixEXF9fSW29asyWpLsbRLp6Do1+InKOtj3YxZctol59//lkolUpx7Ngx2fZz586JI0eOiGXLlonOnTuLI0eOiCNHjohr164JIYSoq6sTAwcOFMnJyaKoqEhs375dhIWFiUWLFknn+P7774W/v7+YN2+eOHnypFi1apXw9vYW27dvl9ps3LhRqNVqsW7dOnHixAkxc+ZMERQUJBtF8+STT4pu3bqJHTt2iEOHDonExESRmJho9+fRcA/Dhw8XDz30kDhy5Ig4fvy4tP/rr78WPj4+YuXKleLkyZNi6dKljT6bFStWiKCgIPHZZ5+Jo0ePinvvvVfExsbKfl4mTJgg4uLixIEDB8TevXtFr169xNSpU6X9V69eFREREeLhhx8WxcXFYuPGjcLf31+89dZbdsUixI3/jZ9//nmL9+us0S5MPsgqJh9EztHRkg8hbgzrXLhwoWxbWlqaANDotXPnTqnN2bNnxcSJE4Wfn58IDQ0VTz/9tDAYDLLz7Ny5UwwdOlSoVCrRo0cPkZOT0+j6b7zxhujWrZtQqVQiPj5e7N+/X7a/urpa/O53vxPBwcHC399f/PrXvxYXL16UtYmJiRFLly5t8j4t3U9MTIyszccffyx69+4tVCqVGDBggPjyyy9l+41Go3jmmWdERESEUKvVYvz48aKkpETW5pdffhFTp04VnTt3FhqNRkyfPl1K2hp8++234s477xRqtVrceuutYsWKFY3ibS6WH374QSiVSlFWVmbxfp2VfCiE8KxxlDqdDoGBgaioqIBGo3F3OB2aXq+XqvHtrZAnoptqampQWlqK2NjYDlOIefToUdx99904c+YMOnfu7O5w7FZVVYVbbrkF27Ztw9ixY90djsssWLAAV65ckU1OZqqpn2V7vr9Z80FERE43ePBgvPTSSygtLXV3KA7ZuXMnfvWrX3WoxAMAwsPD8cILL7T6dTjahYiIWsWjjz7q7hAclpqaitTUVHeH4XJPP/20S67Dng8iIiJyKSYfRERE5FJMPoiIiMilmHwQEbmI0Wh0dwhELeKsAbIsOCUiamUqlQpeXl64cOECwsLC7J5plMgTCCHw008/QaFQ2DVNvyVMPoiIWpmXlxdiY2Nx8eJFXLhwwd3hEDlMoVCga9euVqfWtxWTDyIiF1CpVOjWrRvq6upQX1/v7nCIHKJUKluceABMPoiIXKahu7qlXdZEbZ1dBafZ2dkYOXIkAgICEB4ejkmTJqGkpETWpqamBhkZGbjlllvQuXNn3H///Y2W8CUiIqKOy67kIz8/HxkZGdi/fz9yc3NhMBiQnJyMyspKqc1TTz2FL774Aps2bUJ+fj4uXLiA++67z+mBk2vp9XrZy8OWBCIiojakRQvL/fTTTwgPD0d+fj5Gjx6NiooKhIWFYcOGDfjNb34DADh16hT69euHgoIC3H777c2ekwvLeQ7TheXMRUdHIz09nRX7REQEwIULy1VUVAAAQkJCAACFhYUwGAxISkqS2vTt2xfdunVDQUGBxXPU1tZCp9PJXuQZlEoloqOjLe4rKyuDwWBwcURERNQeOFxwajQaMWfOHIwaNQoDBw4EAGi1WqhUKgQFBcnaRkREQKvVWjxPdnY2li1b5mgY1IoUCgXS09NlSYZer8fKlSvdGBUREbV1Dvd8ZGRkoLi4GBs3bmxRAIsWLUJFRYX0Kisra9H5yLkUCgVUKpXsRURE1BIO9XxkZmZiy5Yt2L17N7p27Sptj4yMhF6vx9WrV2W9H+Xl5YiMjLR4LrVaDbVa7UgYRERE1AbZ1fMhhEBmZiY2b96MHTt2IDY2VrZ/+PDhUCqVyMvLk7aVlJTg/PnzSExMdE7ERERE1KbZ1fORkZGBDRs24LPPPkNAQIBUxxEYGAg/Pz8EBgZixowZyMrKQkhICDQaDX7/+98jMTHRppEuRERE1P7ZlXysWbMGADB27FjZ9pycHDz66KMAgL/+9a/w8vLC/fffj9raWqSkpGD16tVOCZaIiIjaPruSD1umBPH19cWqVauwatUqh4MiIiKi9qtF83wQERER2YvJBxEREbkUkw8iIiJyKSYfRERE5FJMPoiIiMilmHwQERGRSzH5ICIiIpdyeFVbIr1eL/1bqVRCoVC4MRoiImormHyQw1auXCn9Ozo6Gunp6UxAiIioWXzsQnZRKpWIjo5utL2srAwGg8ENERERUVvDng+yi0KhQHp6upRo6PV6WQ8IERFRc5h8kN0UCgVUKpW7wyAiojaKj12IiIjIpZh8EBERkUsx+SAiIiKXYvJBRERELsXkg4iIiFyKyQcRERG5FJMPIiIicikmH0RERORSnGSMnMZ0oTmAi80REZFlTD7IacynWedic0REZAkfu1CLWFtoDuBic0REZBl7PqhFzBeaA7jYHBERNY3JB7UYF5ojIiJ78LELERERuRSTDyIiInIpJh9ERETkUkw+iIiIyKWYfBAREZFLMfkgIiIil7I7+di9ezfuueceREVFQaFQ4J///Kds/6OPPgqFQiF7TZgwwVnxEhERURtnd/JRWVmJIUOGYNWqVVbbTJgwARcvXpRe//jHP1oUJLVder1e9hJCuDskIiJyM7snGZs4cSImTpzYZBu1Wo3IyEiHg6L2g+u9EBGRuVap+di1axfCw8PRp08fzJo1C7/88ovVtrW1tdDpdLIXtW1c74WIiJri9OnVJ0yYgPvuuw+xsbE4c+YMFi9ejIkTJ6KgoADe3t6N2mdnZ2PZsmXODoPciOu9EBFRU5yefEyZMkX696BBgzB48GDcdttt2LVrF8aPH9+o/aJFi5CVlSW91+l0Vv9qpraD670QEZE1rT7UtkePHggNDcXp06ct7ler1dBoNLIXERERtV+tnnz88MMP+OWXX9ClS5fWvhQRERG1AXY/drl+/bqsF6O0tBRFRUUICQlBSEgIli1bhvvvvx+RkZE4c+YM5s+fj549eyIlJcWpgRMREVHbZHfycejQIYwbN05631CvkZaWhjVr1uDo0aNYv349rl69iqioKCQnJ+OFF16AWq12XtRERETUZtmdfIwdO7bJiaK++uqrFgVERERE7RvXdiEiIiKXcvpQW6Lm6PV66d9KpZKznRIRdTBMPsjlTCcb43TrREQdDx+7kEtYm3Kd060TEXU87PkglzCfcp3TrRMRdVxMPshlOOU6EREBfOxCRERELsbkg4iIiFyKyQcRERG5FJMPIiIicikWnHoYIQSEwSjbplB6cR4MIiJqN5h8uFGjREMAP639FoaLlbJ2qhgNwp4czASEiIjaBSYfbiKEwE9rj0J/TtdsW/05HYTBCIXK2wWRuZ7pdOsAp1wnImrvmHy4iTAYrSYeyi6dEPbkEAhDPS7+6YCLI3M988nGOOU6EVH7xuTDA3RZkiDr1Wio8TCafPcKfT1MK0Haeh1Iw3TrZWVljfY1TLnOCcmIiNonJh8uZFrjIfT10naFyhtezTxSMe8Baet1IObTrQOccp2IqKNg8uEi9tR4NFAovaCK0Vg8pj3UgXC6dSKijonJh4tYq/FQxWigUFqebkWhUCDsycGyETFC3zHqQIiIqP1i8uEGpjUezdVuKBQKWe+G0WpLIiKitoHJhxvYUuNBRETUXjH5aCXmE4iZFpg67RrtbAQMERF1DEw+WoEjxaWOaG8jYEyZTjzGSceIiNoXJh+toKkJxJoqMLVFex8B08B0yC0nHSMial+YfLQyaxOIOao9j4CxNvEYJx0jImpfmHy0stYoLm2vI2DMJx7jpGNERO0Tkw/yKJx4jIio/WPy4STWpk4nIiIiOSYfTuCq0S1ERETtAZMPJ3Bk6vRWi8Vk7g/O+0FERJ6IyYeT2TN1emswHfXSXuf9ADj3BxFRW8bkwwFNzV7qjqnTrc390V7n/QA49wcRUVtmd/Kxe/duvPLKKygsLMTFixexefNmTJo0SdovhMDSpUvxzjvv4OrVqxg1ahTWrFmDXr16OTNut/HE+g7zuT/a+7wfAOf+ICJqy+xOPiorKzFkyBCkp6fjvvvua7T/5Zdfxuuvv47169cjNjYWzzzzDFJSUnDixAn4+vo6JWh3as3ZS1vCdO6P9jrvB8C5P4iI2gO7k4+JEydi4sSJFvcJIfDqq69iyZIluPfeewEAf/vb3xAREYF//vOfmDJlSsuidRNrw2idPXspNcZ5P4iI2h+n1nyUlpZCq9UiKSlJ2hYYGIiEhAQUFBRYTD5qa2tRW1srvdfpPOdxBtD0YxZ31HcQERG1dU59RqDVagEAERERsu0RERHSPnPZ2dkIDAyUXtHR0c4MyW5CCBj19TdflQaPGUZLRETUHrh9tMuiRYuQlZUlvdfpdC5LQMxHrUAAP639FoaLlRbbu3sYrSNM5/0A2k7ctjAdfsuht0REbYdTk4/IyEgAQHl5Obp06SJtLy8vx9ChQy0eo1aroVarnRmGRfYmGuZUMRp4dWp7X3Dmo17a09wfpoWnHHpLRNR2ODX5iI2NRWRkJPLy8qRkQ6fT4cCBA5g1a5YzL2U3YTDiwrP7bGqr7NIJYU8OAUy+x9pSj4G1eT+Atj/3h7Xhtxx6S0TUdtidfFy/fh2nT5+W3peWlqKoqAghISHo1q0b5syZgz/96U/o1auXNNQ2KipKNheIJ2nriYYl5vN+AO1n7g/z4bccektE1PbYnXwcOnQI48aNk9431GukpaVh3bp1mD9/PiorKzFz5kxcvXoVd955J7Zv3+72OT4USi9EPX+Hxe1tOdGwxnTeD6D9zP0BcPgtEVFbZ3fyMXbsWAghrO5XKBR4/vnn8fzzz7coMGcz/zL2VEII1JkMPQYAH7W6XSZIRETUMbl9tEtHZp5oCAhsXLoAP539XtYuqk9/TFn2EhOQZnDxOSKitoHJh5sIIbDx2fm48J+Tzba9UHICdbW1ULaD6elbExefIyJqGzhLlpvU1dZaTTzCuvfA79dvwqy3P5C2GWprYKi5+Wrq0VdzhMkkai05jydoGP1iScMIGCIi8izs+XAh08cshtoaafustz+AUn2zV6OhxkNhMgRnzczfys7VkkcxpqNe2vq8H1x8joio7WHy4SJNPWZRqn0tPlLxUasR1ac/LpScaLTP3kcx1ub+aOvzfgAc/UJE1NYw+XARa49Zovr0h4+VGV4VCgWmLHtJVpRqqK1p1AtiC/O5P9rLvB9ERNT2MPlwA9PHLM0No1UoFFZ7N0wf3dh6roYejvY070dTuP4LEZHnYfLRSsyH0ZomCtYes0jH6eWpgY/K8kRozqwDaa+4/gsRkedh8tEKbB1Ga55oCCGw+c+H8XPZdVm7LrcF4tdzh0GhUDi1DqS94vovRESejclHK2hqGG1DjYcQAp++chja7yuaPd/FMxWovmaAUn3jkcn9i5cDwiD9Be9oHUgDoa+XPYZp61POc/0XIiLPxuTDSWwZRiuEABRK1OmNMNTWW008QqM749dPD0Od3oic+XsBQPpvA9PekJYyLzxt68NvAY6AISLyZEw+nMCWYbRN9XRMf/lOqVcDuFnjoVQLdLktEBfPND7m4pkK1OmNsuPsYW3oLdA+ht8SEZHnYvLhBLYMo63TGy0mHl1uC4RfgOVRGAqFAr+eO0xWF2KorW/UC2LKtNelqdEv5kNvgY4x/JbrvxARuR+TDwc0NZLFlmG0pj0d1kayNLjRA2J7D4Rp7Udzo1/MV/rtCMNvuf4LEZH7MfmwU3MjWUwfs5j3WNxs4+3w4xJTDecU8EGXXv1w8Tt5TBz9coO10S8AR8AQEbkDkw87OXskS0uYPn4RYgJi4u7D/84eijp9bYtGvwDyETDtbfQLwBEwRETuxOTDBvYuCNfUSJYutwXCR2V9MWEhBER1tWybws9P+vL3UXlZLEJVKBQoP1sNhZcKSrVzR8C099EvrAMhInItJh9mzOs5BAQ2Ll2An85+36it6Uylpo9ZTB+xWBvJ0nCMLNEQAmd/+zBqT8p7VvyGDUPMhx/cqNFwoAjVVu158bmmsA6EiMi1OkzyYZ5UWGzTRKJhznQkS1OPWazVdwghcO6haag+cqTZa1UfPoz6y5fh5ecnbfMx6Q1pij3rv3SkxedYB0JE5D4dJvmoq63F62m/cfj4sO49bowcwX8ff5h8iTc1jNb0EYtpT4exutpq4qHu1w/dP/g7jDU1+G7UnQAg/beBaW+IqRu9Ljd7Xuxd/6WjLD7HOhAiIvfpMMmHPcwTDUCebDQ1ksXaMNqmejp6fb1X1qvRUOOh8PeH37BhqD58uNEx1YcPQ1RXQ+HvL9ueM38vhBBQeEdB1F9odBxHwNzEWVCJiNyjwyQfPmo1/rD+E5vbWusZaG4ki9XHLFZ6OvyGDYN3SIjVScZiPvxAVhdirK5u1AtiXoSqUCigCpgMoA7pr9wJpcqb67/YybQIlQWoRETO1WGSD4VC4fBf++bFpLaMZDEvJjWa/Nu0p0PRTO1GQw+IJabnvPd3fVHvfXO0zY0CVOWNolgnzCnSHtd/aYrp4xcWoBIROVeHST5sZesy94D1kSzNFZN6+fnBy0pCYQ9rdSDNsXkK9g62/ou1IlQWoBIROVeHST7MkwprbawlGuaaWpPF2iMW4EaCoDCp77CXws+v2ToQeKulbQ31KAa95SLUpgpQO9r6L+ZFqCxAJSJqHR0m+ajTG/H27HyHj29Y5t50si/TL2zzkSwNrBWTOsrWOpAGDfN/WCtCba4AtaOt/2KtCJUTkREROU+HST7sYZ5oAE0vANfUYxZnPWIx1VwdiJevQGRsALSl12THmBahQhhaPAV7R8KJyIiInKfDJB8+Ki/MfG2MzW2b+lKxVExqbSRLU49YhBCorqu2ul86j4/tvSUNPSD9AAwZFo9u779nsQgVouW1Gu1p/RdLOBEZEVHr6DDJh71L01vTXDGprSNZhBB4ZNsjKPqpqNlrxoXHYf2E9dYLQy3UgSgAGA5/Ax+jvtmeF3tmQTXV3tZ/MdfcRGQcjktE5JgOk3y0hK0zkzY1Z0fDeRp6Oqrrqm1KPADgyKUjuFxzGX4+N3tRTHtDzOtAmqoBAVo2C2pHW/+lqYnIOByXiMgxTk8+nnvuOSxbtky2rU+fPjh16pSzL9UqbF3sDbCvmLSpno5dD+6SJRYNquuqMfbjsQAg/beBeW+ItTqQhuJXo8ksrC2ZBbUjrf9iCYfjEhG1XKv0fAwYMAD//ve/b17Ex/0dLJaWqrfQyGqiYa65Xg5z1no64sLjEOJr+Tx+Pn6IC4/DkUuNe1qa6w1p0NADIgAExmWhIvA2AC2bBdXa+i8dYRZUDsclImq5VskKfHx8EBkZ2RqndpiorkbJsOEOH9+w2BsaehqaGTJrXkxq+m/Tno6mikkVCgXWT1jf6DzN9oZYqQEZduQvMHqp0Ovrvaj3VnMWVAdxTRgiopZpleTju+++Q1RUFHx9fZGYmIjs7Gx069atNS7VKswTDcC++TmaKyb18/GDv9K24bcKhULWtrnekOq6avgr/a3OBeJt1EOp9oaX981kw9JEZJwF1X6cC4SIyDZOTz4SEhKwbt069OnTBxcvXsSyZctw1113obi4GAEBAY3a19bWora2Vnqv0zX+EnMGhZ8f+hwutLmtvV8athaTxoXHWazvsFVzvSGm7azNBWLu5kRkN0d1cBZU+3EuECIi2zg9+Zg4caL078GDByMhIQExMTH4+OOPMWPGjEbts7OzGxWotgZ7voztZU8xqT1zdlhj3htiyjQpsXYtaxORAT5OnwW1vdeBcC4QIiL7tXolaFBQEHr37o3Tp09b3L9o0SJkZWVJ73U6HaKjo1s7rBaxVM9hbzFpazHtAbE2P0hTE5G9Pw9w5iyo7b0OhHOBEBHZr9WTj+vXr+PMmTN4+OGHLe5Xq9VQq9UW93kK82QjbXsaTl22PHTY1mJSZ7JWB2JaA2LrRGQ34lXeeJmEbs9EZB2tDoRzgRAR2cfpycfcuXNxzz33ICYmBhcuXMDSpUvh7e2NqVOnOvtSrcLSlOdNJRum3NHTATSuAzGtATG9l7B1b8PXcKN9cxOR3ZgLxHINCNCyOpCOOi07H8MQEd3g9OTjhx9+wNSpU/HLL78gLCwMd955J/bv34+wsDBnX8outq6jYmui0TekL9ZPWC/b5qqeDkus1YFYG47rZbKtYSIyL2FeB2K5BgRoWR1IR5uW3dpjGICPYoioY3J68rFx40Znn9IpquuqkbAhweHjzZMNdyYazbFlOK5pymDaA2JaB1KnN8pqQOyZiMwcp2W/gSNiiIi4totFLuvVEAIwVDXfTukvm3OkObYMx7VUAwLI60AUUl1HQw2IN6Cwfy6QhpisTcvOETF8FENEHUuHST78fPxw4CHb5p5otV4N02RDCCBnAqA91vxxkYOA6dvlCUgzCYktw3FNa0AA+YJ0xupqGL3k68HcCNv+uUBMY7I0LTtHxHBEDBF1LB0m+Wjqy9glhADeTwHKHJh8S3sMyL5Vvi36diB9u109Ig1sHY5rvh7MDdbnAqnWVUCpvvlAhyNibuKIGCKimzpM8uFy5o9U9FWWEw9LvRqm57DWO1K2H6j8GVCZJFRN9IY4MhzXfD0YL39/2VwgD/8pEYAB72amAeCIGHs0NSKmsrJSlqiwN4SI2huFEEK4OwhTOp0OgYGBqKiogEajcXc4jmmul2Pu6ZtJQ3P1HJaSmJU9LbdtpjfEfAr4hh4Q07lJhBAWh+P2+novvPz8YKitx7uLDsrOqb/2kcURMQDwh/WfWB0RY86or8eFZ/c12t7eHsM0EELYtDpuZGQkpk+fLrt/JiRE5Gns+f5mz4ezmCYJ1no5gBsJQqdQ2x+XKBSAqtPN90r/G+co29+4bdn+GzGYtpedyvHhuA1JiPmjGIVCAVXAZFgbEeOMycna42MYQP4opqmiVK1Wi+zsbNk284SEyQgRtSXs+XCEeW9EU49HTHs5ALtHrth0fdPeEBt7VYQQSNueZnE4LgAceOgA/Hz8cG7abxuNiBGA9Cim3lstFaNOf/lOKNX/TT4en2zxvM0VpgohLI6I6bIkQZZ8tMdHMaY9IQ3vc3JyoNVqmz2WtSJE5G7s+XA2R0ep2NvLYSvz3hBTpo9kmngM09xw3OZGxHgb9fA2yifMujkiRjhlcrKONCIGsFyU+sQTT9iUkLBWhIjako6TfNg6p4al4xwdEuuMXg5bWHsU00xRalMjgFoyIsb0UczDf0qUekMaClNtnR+kuRExxkqDlKi0x54QoPmExLRWhBOYEVFb0XEeu+grgeVRzjufA3NvtCrzmhMHilKbehRz4KED8Ff6QwjR6FFMw2OY2/Jy4eXrB4PeiPVLC83ObUDt1TcandeexzCA/FGMqfbYE2ILIQTef/99i7UiwI21lkzrSjra50NErsPHLq3BXb0atjJ9FONgUWpLFqjzNupxdtwYAI2LUm9wbH4Q8zViRBNFqaY9IUD77Q0x1dwEZqa9IRw1Q0SeouP0fDj62KWBpyUbzXFCUWqVocrqejgNj2IANFuUenN+kD0A6v7bwIDairUWz+1oUao59oZY7g0xxVEzROQs7PmwpKkizfbICUWpzS1Qd7nmMvx8/JotSvWq94aXt0CXHhppxVzRzIq5pr0h5nUhpr0h1npCgI5TF2LOvDekqVEz5sN4WSdCRK7QcXo+OjohgPcnWH4U08RwYNOJyYDGC9Q1MC1KNVZVoWTY8MYhAFDJVsy90RNiqSjVFOtCWs6eYbymdSIAe0OIyDbs+aDGFIobPRyWilLNi1NNekPMR8Q0NU17Q0+I8BFQxw1B7ZFv5SHgxoq5XpUV8PZSSSvmfvDMIQDWh+iyLqTlWjJqho9miMjZ2PPRUTXVEwI0WRdibZp28/PHBw3B23e/3WiqduBGL8jhRkWpN87tyroQZZdOCHtyyI3M6L86SkJiqiV1IgATEiKy7/ubyUdHZuu6MQ4OzwVurhsjhEB52gxZb0hDUar0XqHA4aFP4XpAtHTuptaNmfX2B1brQsxj/GntUYt1IZZ01McznGGViFqCyQc5ppXrQiAEBgX0wdtJbwMQ0KY9BsOpEnkT3JwzpN5LjXXPHoLUEwJY7Q0J697jRk+ISReGaUJiXhcCAfy09lsYLlZa/ChMp3PviD0hDUwTkuaSEdaKEHVsTD7IcbZOVtbEvCfN9YaYXsveRzPN9YaYMk9IzHtHbC1U5aOZm8x7R+xdjdccExSi9oPJBzlHc3UhpswezZj3hgBA2vY0nLp8qtGh9j6aKRwyB9cDukgtbiQjPzUboi29I7Y+njFPSDpyMmJrrYglLGYlaj+YfJDzOHEFX1sLVVv8aKYFCYkQAt5e//0CbObRjKmO3DvSkloRcyxmJWq7mHxQ63L00QwgJST2PJq5mYwAoroaP4y9++Zu2DBqxo5kBJCPpLG3VsRUR+4dMU9ILO23NUHh4xuitoHJB7mOPY9mAFlCIoRAtUIhS06sPZoxvd7zH9Sj7w8mm9D0qJkbh5kmIzeOaiohMR1J0zgE9o44gz3FrM1hgkLkfkw+PJQQAtWGeqecy0/p7Tm/SO15NGPOrHfEPCGxmIwIAbXJH9XPf1CP2HKzJriZkFhKRhquZctIGktMH9fIkpH/Xpy9I/Zz5uMbS/hIh6h1Mflwg+YSCyGAB9YW4MRF2+aaaE7/LhpsejJR9kSjPSYkNvWOmCUjQOOExNbeEVtH0phrzdoRSzpKkuLMxzeWsOCVyHmYfLSAI70Tzk4sHGUpITHn1gTFNCFpae9IfY10nrR/P4lTV//T6Fr29I4AlkbSWLwJh4pZW9I7YoktSQoTlJv7WV9C1PqYfFhgS1LhiiTClgShKS2N0fz6HpOMNLy3NSExPQ2A6siBwMP/vJGgWEpILPSOWLLsg3rE/GTP4xrbk5HQbrH4zZJs2dBeH+C/ha3AlZxTqNNWNX0SO9jai2KqvSYsrT0ixxwTFOqImHxYUKWvQ/9nv3La+SxxVc+DeSLVkoTE4x7fONo7Yn4amCQkgOXeESvXN01STJMRi80t9pbYN7rGVHi3nvj1/GWyz9/HJCFojSTFVEfqUXFmwas5JijUETH5sMCe5MPR3gl3fmk7s+bEox7fmPeOWNpvQ4IigBu1I+YiBtjdY2JLPYmjE6HZyluhlL2/JTpGlrTo/v4f1JdXWzq0xRypS2k0ZNlCG3dr7foScyyApfaGyYcF9tRyeFThphOZfgbOfnxjidsSlJb2mJjHbJ6g5D6B0p+a7kUx7zERAOpNJ1xTKPDt4ExcD+gqtWjtBMUS06TF2QmLlKTAen1LW3s05OoCWFsxaSFPwOSDbOLMxzeWtLS+pYFDSYyTekwsHgp5gpLWJQKn1GaPZmyoMbE/QbEcjTOTlqYSFgWAX3WZhmB1hFOu5ShHEhZrWiORcXUPCsDHPOQZPCL5WLVqFV555RVotVoMGTIEb7zxBuLj45s9jsmHe7l6yLAtWi2Jae1HOs1Ii4xAqVczvRMC8DHKE5slG+vR/ZL8+q5MWprrUbGWpFypLceOix9CNNHG1Xwi/RA8vZ/0s+VttvigM5k/hmrNOU0siY6ORnp6OhMQajVuTz4++ugjPPLII1i7di0SEhLw6quvYtOmTSgpKUF4eHiTxzL58HyemKDYwqEkprkExfJB8P37/4NXuWclLeb+uLEe0T9Zv35LkxjzJKVeNO4NsOXRUANPSVgc5R2mRucHYm5OKOfr23iVZUW9bJu3qvlkaN3f10FbXt5kmwZz586FStX0zwV1HM7uDXN78pGQkICRI0fizTffBAAYjUZER0fj97//PRYuXNjksUw+2gdnzObqqUmMbQT8UGv3UX0jNfhgRvx/EyTLSYyjSUujCAUg6m+eZ2ZkOP6jMksGnJDEWLx2C2pe7ElYrGnriYwpAYG6YAATAy3ur6urw4eff+HaoKhNmPv00+gcEOC087k1+dDr9fD398cnn3yCSZMmSdvT0tJw9epVfPbZZ00ez+SDTDGJcSyJcfRaUNzsnVAA+LtqOfp5lTV9lFkSY/PVBFAHtfT+9+FhKPW2/6/yBZvq0c3Op0cNyU+1afJz/f8g6n+2+/rNcXeiIyCwRVWIcq8Kt1yfPFfafb9G7OAhTjufPd/fPk676n/9/PPPqK+vR0SE/P9oEREROHWq8YJhtbW1qK29+ctVp2uLXxDUWhQKBfxVLf8x/fIPdzptXZ3WYD1BUqAalhe4a51A/GRv76/Ndl3yc0Ge/Nhqwe0C6nr7jlMAeEf5Cm7zuplsiFCgTnjZfX1zc8NDcUYp7535WGRDLW4mVlmb69HVJM8RCgWODXwClZ1vbdhiUzJkS2KjgAL/Tz8cdWg81Jk6Nh9vb/dd221X/q/s7GwsW7bM3WFQO+esJKY1eXqC1O6Ihxyo52neGiFQ0zD9v7VL/1YANfI2XYVAveFmR7QQC1Bv0Dd/wRtdSE1SAGj5wypqb8Jv6+m2azv9t3FoaCi8vb1RblYAVV5ejsjIyEbtFy1ahKysLOm9TqdDdHR0o3ZE7V1bSJDaHbXlOomW6tQqZyVqP1rex2hGpVJh+PDhyMvLk7YZjUbk5eUhMTGxUXu1Wg2NRiN7ERERUfvVKn9mZWVlIS0tDSNGjEB8fDxeffVVVFZWYvr06a1xOSIiImpDWiX5mDx5Mn766Sc8++yz0Gq1GDp0KLZv396oCJWIiIg6Hk6vTkRERC1mz/e302s+iIiIiJrC5IOIiIhciskHERERuRSTDyIiInIpJh9ERETkUkw+iIiIyKWYfBAREZFLMfkgIiIil2LyQURERC7lcUtoNky4qtPp3BwJERER2arhe9uWidM9Lvm4du0aACA6OtrNkRAREZG9rl27hsDAwCbbeNzaLkajERcuXEBAQAAUCoXTzqvT6RAdHY2ysjKuGWOCn0tj/Ewa42fSGD+TxviZNNaRPhMhBK5du4aoqCh4eTVd1eFxPR9eXl7o2rVrq51fo9G0+x8AR/BzaYyfSWP8TBrjZ9IYP5PGOspn0lyPRwMWnBIREZFLMfkgIiIil+owyYdarcbSpUuhVqvdHYpH4efSGD+TxviZNMbPpDF+Jo3xM7HM4wpOiYiIqH3rMD0fRERE5BmYfBAREZFLMfkgIiIil2LyQURERC7VYZKPVatWoXv37vD19UVCQgK++eYbd4fkNtnZ2Rg5ciQCAgIQHh6OSZMmoaSkxN1heZQVK1ZAoVBgzpw57g7FrX788Uf89re/xS233AI/Pz8MGjQIhw4dcndYblNfX49nnnkGsbGx8PPzw2233YYXXnjBprUs2pPdu3fjnnvuQVRUFBQKBf75z3/K9gsh8Oyzz6JLly7w8/NDUlISvvvuO/cE6yJNfSYGgwELFizAoEGD0KlTJ0RFReGRRx7BhQsX3Bewm3WI5OOjjz5CVlYWli5disOHD2PIkCFISUnBpUuX3B2aW+Tn5yMjIwP79+9Hbm4uDAYDkpOTUVlZ6e7QPMLBgwfx1ltvYfDgwe4Oxa2uXLmCUaNGQalUYtu2bThx4gT+/Oc/Izg42N2huc1LL72ENWvW4M0338TJkyfx0ksv4eWXX8Ybb7zh7tBcqrKyEkOGDMGqVass7n/55Zfx+uuvY+3atThw4AA6deqElJQU1NTUuDhS12nqM6mqqsLhw4fxzDPP4PDhw/j0009RUlKC//3f/3VDpB5CdADx8fEiIyNDel9fXy+ioqJEdna2G6PyHJcuXRIARH5+vrtDcbtr166JXr16idzcXDFmzBgxe/Zsd4fkNgsWLBB33nmnu8PwKKmpqSI9PV227b777hPTpk1zU0TuB0Bs3rxZem80GkVkZKR45ZVXpG1Xr14VarVa/OMf/3BDhK5n/plY8s033wgA4ty5c64JysO0+54PvV6PwsJCJCUlSdu8vLyQlJSEgoICN0bmOSoqKgAAISEhbo7E/TIyMpCamir7eemoPv/8c4wYMQIPPPAAwsPDERcXh3feecfdYbnVHXfcgby8PPznP/8BAHz77bfYu3cvJk6c6ObIPEdpaSm0Wq3s/0OBgYFISEjg71wTFRUVUCgUCAoKcncobuFxC8s5288//4z6+npERETItkdERODUqVNuispzGI1GzJkzB6NGjcLAgQPdHY5bbdy4EYcPH8bBgwfdHYpH+P7777FmzRpkZWVh8eLFOHjwIP7whz9ApVIhLS3N3eG5xcKFC6HT6dC3b194e3ujvr4eL774IqZNm+bu0DyGVqsFAIu/cxv2dXQ1NTVYsGABpk6d2iEWm7Ok3Scf1LSMjAwUFxdj79697g7FrcrKyjB79mzk5ubC19fX3eF4BKPRiBEjRmD58uUAgLi4OBQXF2Pt2rUdNvn4+OOP8eGHH2LDhg0YMGAAioqKMGfOHERFRXXYz4TsYzAY8OCDD0IIgTVr1rg7HLdp949dQkND4e3tjfLyctn28vJyREZGuikqz5CZmYktW7Zg586d6Nq1q7vDcavCwkJcunQJw4YNg4+PD3x8fJCfn4/XX38dPj4+qK+vd3eILtelSxf0799ftq1fv344f/68myJyv3nz5mHhwoWYMmUKBg0ahIcffhhPPfUUsrOz3R2ax2j4vcrfuY01JB7nzp1Dbm5uh+31ADpA8qFSqTB8+HDk5eVJ24xGI/Ly8pCYmOjGyNxHCIHMzExs3rwZO3bsQGxsrLtDcrvx48fj2LFjKCoqkl4jRozAtGnTUFRUBG9vb3eH6HKjRo1qNAT7P//5D2JiYtwUkftVVVXBy0v+a9Pb2xtGo9FNEXme2NhYREZGyn7n6nQ6HDhwoMP+zgVuJh7fffcd/v3vf+OWW25xd0hu1SEeu2RlZSEtLQ0jRoxAfHw8Xn31VVRWVmL69OnuDs0tMjIysGHDBnz22WcICAiQnsMGBgbCz8/PzdG5R0BAQKOal06dOuGWW27psLUwTz31FO644w4sX74cDz74IL755hu8/fbbePvtt90dmtvcc889ePHFF9GtWzcMGDAAR44cwV/+8hekp6e7OzSXun79Ok6fPi29Ly0tRVFREUJCQtCtWzfMmTMHf/rTn9CrVy/ExsbimWeeQVRUFCZNmuS+oFtZU59Jly5d8Jvf/AaHDx/Gli1bUF9fL/3eDQkJgUqlclfY7uPu4Tau8sYbb4hu3boJlUol4uPjxf79+90dktsAsPjKyclxd2gepaMPtRVCiC+++EIMHDhQqNVq0bdvX/H222+7OyS30ul0Yvbs2aJbt27C19dX9OjRQ/zxj38UtbW17g7NpXbu3Gnxd0haWpoQ4sZw22eeeUZEREQItVotxo8fL0pKStwbdCtr6jMpLS21+nt3586d7g7dLRRCdLCp+YiIiMit2n3NBxEREXkWJh9ERETkUkw+iIiIyKWYfBAREZFLMfkgIiIil2LyQURERC7F5IOIiIhciskHERERuRSTDyIiInIpJh9ERETkUkw+iIiIyKWYfBAREZFL/X/Sl5O9/ZVe2wAAAABJRU5ErkJggg==\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "
Name N sig N bkg TPR FPR N sig' N bkg' sig x_c bin i
1 10 1000.3749390.0498907 3.74939 4.98907 1.268361.33219 10
2 100 10000.3749390.0498907 37.4939 49.8907 4.010921.33219 10
2.1 200 20000.3749390.0498907 74.9879 99.7813 5.672291.33219 10
2.2 300 30000.3749390.0498907 112.482 149.672 6.947111.33219 10
2.3 400 40000.3749390.0498907 149.976 199.563 8.021831.33219 10
2.4 500 50000.3749390.0498907 187.47 249.453 8.968681.33219 10
3 1000 100000.3749390.0498907 374.939 498.907 12.6836 1.33219 10
4 10000 1000000.3749390.04989073749.39 4989.07 40.1092 1.33219 10
" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "scenarios = { \"1\": (10,100), \n", - " \"2\": (100,1000),\n", - " \"2.1\": (200,2000),\n", - " \"2.2\": (300,3000),\n", - " \"2.3\": (400,4000),\n", - " \"2.4\": (500,5000),\n", - " \"3\": (1000,10000),\n", - " \"4\": (10000,100000)\n", - " }\n", - "_=compare_significance(scenarios)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Generalize\n", - "\n", - "This function above isn't general, in the sense that it relies on various objects we computed before it (namely TPR and FPR). Lets generalize to get a function that can make a similar plot for any observeable. \n", - "\n", - "One problem is that we are using `matplotlib` to compute the TPR/FPR, eventhough we never plot it. Let's instead compute it with `numpy`:\n" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Matplotlib\n", - "TPR,bins_sig,_=plt.hist(df_sig[\"M_TR_2\"],bins=100,histtype=\"step\",cumulative=-1,density=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# compute with numpy\n", - "hist,bins_sig=np.histogram(df_sig[\"M_TR_2\"],bins=100,density=True)\n", - "TPR = np.cumsum(hist[::-1])[::-1] * (bins_sig[1]-bins_sig[0])\n", - "\n", - "# plot with matplotlib\n", - "plt.step(bins_sig[:-1],TPR)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Lets write this into a function:" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [], - "source": [ - "def compute_rate(d,bins=100):\n", - " hist,bins_=np.histogram(d,bins=bins,density=True)\n", - " R = np.cumsum(hist[::-1])[::-1] * (bins_[1]-bins_[0])\n", - " return R,bins_\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that this function only works for the first possible selection criteria (from your lab):\n", - "\n", - "1. $x > x_c$\n", - "2. $x < x_c$\n", - "3. $|x - x_0| > x_c$\n", - "4. $|x - x_0| < x_c$\n", - "\n", - "And actually, scenarios 3 and 4 are more challenging to implement." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now put it all together:" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [], - "source": [ - "def compare_significance(df_sig, df_bkg,\n", - " obs_name,\n", - " scenarios,bins=100,log=False):\n", - " \n", - " TPR,bins_sig = compute_rate(df_sig[obs_name],bins=bins)\n", - " FPR,bins_sig = compute_rate(df_bkg[obs_name],bins=bins_sig)\n", - " \n", - " max_sigs=dict()\n", - " table=list()\n", - " \n", - " for name, (n_sig_expected, n_bkg_expected) in scenarios.items():\n", - "\n", - " n_sig_expected_prime = n_sig_expected * TPR\n", - " n_bkg_expected_prime = n_bkg_expected * FPR\n", - "\n", - " sig = n_sig_expected_prime/ np.sqrt(n_sig_expected_prime + n_bkg_expected_prime )\n", - " plt.step(bins_sig[:-1],sig,label=name+\" \"+str((n_sig_expected, n_bkg_expected)))\n", - " \n", - " max_i=np.argmax(sig)\n", - " max_sigs[name]=(max_i,n_sig_expected_prime[max_i],n_bkg_expected_prime[max_i],sig[max_i],bins_sig[max_i])\n", - " table.append((name,n_sig_expected, n_bkg_expected, \n", - " TPR[max_i],FPR[max_i],\n", - " n_sig_expected_prime[max_i],n_bkg_expected_prime[max_i],sig[max_i],bins_sig[max_i],max_i)\n", - " )\n", - " if log:\n", - " plt.yscale(\"log\")\n", - " plt.legend()\n", - " plt.show()\n", - " \n", - " display(HTML(tabulate.tabulate(table, tablefmt='html',\n", - " headers=[\"Name\",'N sig','N bkg',\"TPR\",\"FPR\",\"N sig'\",\"N bkg'\",'sig','x_c',\"bin i\"])))\n", - " return max_sigs\n" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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1 10 1000.3749390.0498907 3.74939 4.98907 1.268361.33219 10
2 100 10000.3749390.0498907 37.4939 49.8907 4.010921.33219 10
2.1 200 20000.3749390.0498907 74.9879 99.7813 5.672291.33219 10
2.2 300 30000.3749390.0498907 112.482 149.672 6.947111.33219 10
2.3 400 40000.3749390.0498907 149.976 199.563 8.021831.33219 10
2.4 500 50000.3749390.0498907 187.47 249.453 8.968681.33219 10
3 1000 100000.3749390.0498907 374.939 498.907 12.6836 1.33219 10
4 10000 1000000.3749390.04989073749.39 4989.07 40.1092 1.33219 10
" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "scenarios = { \"1\": (10,100), \n", - " \"2\": (100,1000),\n", - " \"2.1\": (200,2000),\n", - " \"2.2\": (300,3000),\n", - " \"2.3\": (400,4000),\n", - " \"2.4\": (500,5000),\n", - " \"3\": (1000,10000),\n", - " \"4\": (10000,100000)\n", - " }\n", - "_=compare_significance(df_sig,df_bkg,\"M_TR_2\",scenarios)" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [], - "source": [ - "my_obs= ['MET',\n", - " 'MET_phi',\n", - " 'MET_rel',\n", - " 'axial_MET',\n", - " 'M_R',\n", - " 'M_TR_2',\n", - " 'R',\n", - " 'MT2',\n", - " 'S_R',\n", - " 'M_Delta_R',\n", - " 'dPhi_r_b',\n", - " 'cos_theta_r1']" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "MET\n" - ] - }, - { - "data": { - "image/png": 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Name N sig N bkg TPR FPR N sig' N bkg' sig x_c bin i
1 10 100 1 1 10 100 0.953463 0 0
2 100 1000 1 1 100 1000 3.01511 0 0
2.1 200 2000 1 1 200 2000 4.26401 0 0
2.2 300 3000 1 1 300 3000 5.22233 0 0
2.3 400 4000 1 1 400 4000 6.03023 0 0
2.4 500 5000 1 1 500 5000 6.742 0 0
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2.3 400 4000 1 1 400 4000 6.03023 3.52031e-07 0
2.4 500 5000 1 1 500 5000 6.742 3.52031e-07 0
3 1000 10000 1 1 1000 10000 9.53463 3.52031e-07 0
4 10000 100000 1 1 10000 10000030.1511 3.52031e-07 0
" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for obs in my_obs:\n", - " print(obs)\n", - " _=compare_significance(df_sig,df_bkg,obs,scenarios)\n", - " " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Selecting on more than one random variable\n", - "\n", - "Recall that with Pandas, you can select a subset of your data:" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1 False\n", - "2 False\n", - "3 False\n", - "4 False\n", - "8 True\n", - " ... \n", - "499988 False\n", - "499991 False\n", - "499994 False\n", - "499996 True\n", - "499997 False\n", - "Name: M_TR_2, Length: 229245, dtype: bool" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df_sig[\"M_TR_2\"]>1.35029" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Some basic checks:" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "83371" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sum(df_sig[\"M_TR_2\"]>1.35029)" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(229245, 19)" - ] - }, - "execution_count": 38, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df_sig.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.363676416061419" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sum(df_sig[\"M_TR_2\"]>1.35029)/df_sig.shape[0]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now lets select on one variable and look how the significance changes:" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": {}, - "outputs": [], - "source": [ - "df_sig_1 = df_sig[df_sig[\"M_TR_2\"]>1.35029]\n", - "df_bkg_1 = df_bkg[df_bkg[\"M_TR_2\"]>1.35029]" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(83371, 19)\n", - "(12495, 19)\n" - ] - } - ], - "source": [ - "print(df_sig_1.shape)\n", - "print(df_bkg_1.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'1': (10, 100),\n", - " '2': (100, 1000),\n", - " '2.1': (200, 2000),\n", - " '2.2': (300, 3000),\n", - " '2.3': (400, 4000),\n", - " '2.4': (500, 5000),\n", - " '3': (1000, 10000),\n", - " '4': (10000, 100000)}" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "scenarios" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.363676416061419 0.04614873224871194\n" - ] - } - ], - "source": [ - "eff_s = df_sig_1.shape[0]/df_sig.shape[0] # TPR\n", - "eff_b = df_bkg_1.shape[0]/df_bkg.shape[0] # FPR\n", - "\n", - "print(eff_s,eff_b)" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'1': (3.63676416061419, 4.614873224871194),\n", - " '2': (36.3676416061419, 46.14873224871194),\n", - " '2.1': (72.7352832122838, 92.29746449742387),\n", - " '2.2': (109.10292481842569, 138.44619674613583),\n", - " '2.3': (145.4705664245676, 184.59492899484775),\n", - " '2.4': (181.8382080307095, 230.7436612435597),\n", - " '3': (363.676416061419, 461.4873224871194),\n", - " '4': (3636.7641606141897, 4614.873224871194)}" - ] - }, - "execution_count": 44, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "scenarios_1 =dict(zip(scenarios.keys(),map(lambda x: (eff_s*x[0],eff_b*x[1]),scenarios.values())))\n", - "scenarios_1" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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2 36.3676 46.1487 1 1 36.3676 46.1487 4.003550.00687303 0
2.1 72.7353 92.2975 1 1 72.7353 92.2975 5.661870.00687303 0
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2.4 181.838 230.744 1 1 181.838 230.744 8.952210.00687303 0
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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.scatter(df_sig[\"M_Delta_R\"],df_sig[\"M_TR_2\"],label=\"Signal\")\n", - "plt.xlabel(\"M_Delta_R\")\n", - "plt.ylabel(\"M_TR_2\")\n", - "plt.scatter(df_bkg[\"M_Delta_R\"],df_bkg[\"M_TR_2\"],label=\"Background\")\n", - "plt.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "for var in [\"M_Delta_R\",\"M_TR_2\"]:\n", - " plt.figure(figsize=(10,5))\n", - " plt.hist(np.array(df_sig[var]),bins=100,histtype=\"step\", color=\"red\",label=\"signal\",density=1, stacked=True)\n", - " plt.hist(np.array(df_bkg[var]),bins=100,histtype=\"step\", color=\"blue\", label=\"background\",density=1, stacked=True)\n", - " plt.legend(loc='upper right')\n", - " plt.xlabel(var)\n", - " plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.1328796702218151\n", - "0.013853853114439253\n" - ] - } - ], - "source": [ - "TPR_1=sum(df_sig[\"M_Delta_R\"]>2.)/df_sig.shape[0]\n", - "FPR_1=sum(df_bkg[\"M_Delta_R\"]>2.)/df_bkg.shape[0]\n", - "\n", - "print(TPR_1)\n", - "print(FPR_1)" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.1141006346921416\n", - "0.006230725194363908\n" - ] - } - ], - "source": [ - "TPR_2=sum(df_sig[\"M_TR_2\"]>2.)/df_sig.shape[0]\n", - "FPR_2=sum(df_bkg[\"M_TR_2\"]>2.)/df_bkg.shape[0]\n", - "\n", - "print(TPR_2)\n", - "print(FPR_2)" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.05098911644746887\n", - "0.0019390223633912577\n" - ] - } - ], - "source": [ - "TPR_1_2=sum(np.logical_and(df_sig[\"M_Delta_R\"]>2., df_sig[\"M_TR_2\"]>2.))/df_sig.shape[0]\n", - "FPR_1_2=sum(np.logical_and(df_bkg[\"M_Delta_R\"]>2., df_bkg[\"M_TR_2\"]>2.))/df_bkg.shape[0]\n", - "\n", - "print(TPR_1_2)\n", - "print(FPR_1_2)" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.01516165470999157\n", - "8.631955163915354e-05\n" - ] - } - ], - "source": [ - "print(TPR_1*TPR_2)\n", - "print(FPR_1*FPR_2)" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "
Cut 1 Cut 2 Cut 1 * Cut 2 Cut 1 & Cut 2
0.13288 0.114101 0.0151617 0.0509891
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