Write a C++ program that declares an array alpha of 50 components of type double. Initialize the array so that the first 25 components are equal to the square of the index variable (the position that element will occupy), and the last 25 components are equal to three times the index variable. Output the array so that 10 elements per line are printed. For the number at index 5, the value would be 25, which is 5 squared. The 25th index would hold a value of 75, which is 3 * 25.

An example of the program output is shown below:

0 1 4 9 16 25 36 49 64 81
100 121 144 169 196 225 256 289 324 361
400 441 484 529 576 75 78 81 84 87
90 93 96 99 102 105 108 111 114 117
120 123 126 129 132 135