Solve {74,20,70,30,30,70,37,70,98,61,54,57,45,54,12

$$\{ 74,20,70,30,30,70,37,70,98,61,54,57,45,54,12$$

Sort

$$12,20,30,30,37,45,54,54,57,61,70,70,70,74,98$$

Solution Steps

To sort the list, start from a single element 74.

$$74$$

Insert 20 to the appropriate location in the new list.

$$20,74$$

Insert 70 to the appropriate location in the new list.

$$20,70,74$$

Insert 30 to the appropriate location in the new list.

$$20,30,70,74$$

Insert 30 to the appropriate location in the new list.

$$20,30,30,70,74$$

Insert 70 to the appropriate location in the new list.

$$20,30,30,70,70,74$$

Insert 37 to the appropriate location in the new list.

$$20,30,30,37,70,70,74$$

Insert 70 to the appropriate location in the new list.

$$20,30,30,37,70,70,70,74$$

Insert 98 to the appropriate location in the new list.

$$20,30,30,37,70,70,70,74,98$$

Insert 61 to the appropriate location in the new list.

$$20,30,30,37,61,70,70,70,74,98$$

Insert 54 to the appropriate location in the new list.

$$20,30,30,37,54,61,70,70,70,74,98$$

Insert 57 to the appropriate location in the new list.

$$20,30,30,37,54,57,61,70,70,70,74,98$$

Insert 45 to the appropriate location in the new list.

$$20,30,30,37,45,54,57,61,70,70,70,74,98$$

Insert 54 to the appropriate location in the new list.

$$20,30,30,37,45,54,54,57,61,70,70,70,74,98$$

Insert 12 to the appropriate location in the new list.

$$12,20,30,30,37,45,54,54,57,61,70,70,70,74,98$$

Evaluate

$$74,20,70,30,30,70,37,70,98,61,54,57,45,54,12$$