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Merge branch 'master' into master
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@@ -216,16 +216,40 @@ def multiplyIntToMatrix22(maxMatrixVal = 10, maxRes = 100):
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solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
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return problem, solution
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def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
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a = random.randint(1, maxA)
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b = random.randint(1, maxB)
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c = random.randint(1, maxC)
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s = (a+b+c)/2
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area = (s*(s-a)*(s-b)*(s-c)) ** 0.5
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problem = "Area of triangle with side lengths: "+ str(a) +" "+ str(b) +" "+ str(c) + " = "
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solution = area
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return problem, solution
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def isTriangleValidFunc(maxSideLength = 50):
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sideA = random.randint(1, maxSideLength)
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sideB = random.randint(1, maxSideLength)
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sideC = random.randint(1, maxSideLength)
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sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
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sides = [sideC, sideA, sideB]
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exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (sides[2] < sideSums[2])
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problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?"
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if exists:
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solution = "Yes"
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return problem, solution
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solution = "No"
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return problem, solution
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def factoringFunc(range_x1 = 10, range_x2 = 10):
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x1 = random.randint(-range_x1, range_x1)
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x2 = random.randint(-range_x2, range_x2)
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def intParser(int):
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if (int == 0):
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def intParser(z):
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if (z == 0):
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return ""
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if (int > 0):
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return "+" + str(int)
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if (int < 0):
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return "-" + str(abs(int))
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if (z > 0):
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return "+" + str(z)
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if (z < 0):
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return "-" + str(abs(z))
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b = intParser(x1 + x2)
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c = intParser(x1 * x2)
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@@ -261,4 +285,6 @@ decimalToBinary = Generator("Decimal to Binary",14,"Binary of a=","b",DecimalToB
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binaryToDecimal = Generator("Binary to Decimal",15,"Decimal of a=","b",BinaryToDecimalFunc)
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fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
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intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
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factoring = Generator("Subtraction", 18, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2", factoringFunc)
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areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
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doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?","Yes/No", isTriangleValidFunc)
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factoring = Generator("Subtraction", 20, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
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