Convert the following program from machine language into MIPS assembly language. The numbers on the left are the instruction addresses in memory, and the numbers on the right give the instruction at that address. Then reverse engineer a high-level program that would compile into this assembly language routine and write it. Explain in words what the program does. $a0 is the input, and it initially contains a positive number, n. $v0 is the output.?

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Ox00400000 0x20080000 0x00400004 0x20090001 Ox00400008 0×0089502A 0x0040000C 0x15400003 Ox00400010 0x01094020 Ox00400014 0x21290002 0x00400018 0x08100002 0x0040001C 0x01001020 0x00400020 0X03E00008