Solve {l}{text{1.}10,35}{text{2.}18,45}{text{3.}9,12,30}{text{4.8,}12,25}

$$\left. \begin{array} { l } { \text { 1. } 10,35 } \\ { \text { 2. } 18,45 } \\ { \text { 3. } 9,12,30 } \\ { \text { 4. 8, } 12,25 } \end{array} \right.$$

Sort

$$10,12,12,25,27,30,32,35,36,45$$

Solution Steps

Multiply 1 and 10 to get 10.

$$sort(10,35,2\times 18,45,3\times 9,12,30,4\times 8,12,25)$$

Multiply 2 and 18 to get 36.

$$sort(10,35,36,45,3\times 9,12,30,4\times 8,12,25)$$

Multiply 3 and 9 to get 27.

$$sort(10,35,36,45,27,12,30,4\times 8,12,25)$$

Multiply 4 and 8 to get 32.

$$sort(10,35,36,45,27,12,30,32,12,25)$$

To sort the list, start from a single element 10.

$$10$$

Insert 35 to the appropriate location in the new list.

$$10,35$$

Insert 36 to the appropriate location in the new list.

$$10,35,36$$

Insert 45 to the appropriate location in the new list.

$$10,35,36,45$$

Insert 27 to the appropriate location in the new list.

$$10,27,35,36,45$$

Insert 12 to the appropriate location in the new list.

$$10,12,27,35,36,45$$

Insert 30 to the appropriate location in the new list.

$$10,12,27,30,35,36,45$$

Insert 32 to the appropriate location in the new list.

$$10,12,27,30,32,35,36,45$$

Insert 12 to the appropriate location in the new list.

$$10,12,12,27,30,32,35,36,45$$

Insert 25 to the appropriate location in the new list.

$$10,12,12,25,27,30,32,35,36,45$$

Evaluate

$$10,\ 35,\ 36,\ 45,\ 27,\ 12,\ 30,\ 32,\ 12,\ 25$$