java Write a program to calculate the result of one of three operations (minimum, L1 norm, L2 norm) on a vector of three numbers. To begin, have the user input three numbers at the keyboard (e.g. -1 2 3). Then, ask the user to type in an operation (valid operations are “min”, “l1”, or “l2”; all letters are lowercase). Assuming the user types a valid operation, your program should compute and output to the screen the result based upon the three numbers; otherwise output an error. For “min”, the result is the minimum of the three numbers (i.e. -1). For “l1”, the result is the sum of the absolute values of the three numbers (i.e. |-1| + |2| + |3| = 1 + 2 + 3 = 6). For “l2”, the result is the square root of the sum of the squares (i.e. √(〖(-1)〗^2+〖(2)〗^2+〖(3)〗^2 )=√(1+4+9)=√14=3.74). Example runs: Enter three numbers: -1 2 3 Enter operation: min min(-1.00, 2.00, 3.00) = -1.00 Enter three numbers: -1 2 3 Enter operation: l1 l1(-1.00, 2.00, 3.00) = 6.00 Enter three numbers: -1 2 3 Enter operation: l2 l2(-1.00, 2.00, 3.00) = 3.74 Enter three numbers: -1 2 3 Enter operation: foobar Invalid operation! Enter three numbers: -1 2 3 Enter operation: MIN Invalid operation! Note that all values should be output with two decimal places (rounding where necessary). Note also that you can't compare strings directly with ==. You have to use the String equals() method
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