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)% + (3)% = 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!