Solve {l}{53,52,60,75,90,46,50,69,69,51,48,54,70,69,51,48,53,64,89}{45,56,63,58,49,46,60,76}

$$\left. \begin{array} { l } { 53,52,60,75,90,46,50,69,69,51,48,54,70,69,51,48,53,64,89 } \\ { 45,56,63,58,49,46,60,76 } \end{array} \right.$$

Sort

$$45,46,46,48,48,49,50,51,51,52,53,53,54,56,58,60,60,63,64,69,69,69,70,75,76,89,90$$

Solution Steps

To sort the list, start from a single element 53.

$$53$$

Insert 52 to the appropriate location in the new list.

$$52,53$$

Insert 60 to the appropriate location in the new list.

$$52,53,60$$

Insert 75 to the appropriate location in the new list.

$$52,53,60,75$$

Insert 90 to the appropriate location in the new list.

$$52,53,60,75,90$$

Insert 46 to the appropriate location in the new list.

$$46,52,53,60,75,90$$

Insert 50 to the appropriate location in the new list.

$$46,50,52,53,60,75,90$$

Insert 69 to the appropriate location in the new list.

$$46,50,52,53,60,69,75,90$$

Insert 69 to the appropriate location in the new list.

$$46,50,52,53,60,69,69,75,90$$

Insert 51 to the appropriate location in the new list.

$$46,50,51,52,53,60,69,69,75,90$$

Insert 48 to the appropriate location in the new list.

$$46,48,50,51,52,53,60,69,69,75,90$$

Insert 54 to the appropriate location in the new list.

$$46,48,50,51,52,53,54,60,69,69,75,90$$

Insert 70 to the appropriate location in the new list.

$$46,48,50,51,52,53,54,60,69,69,70,75,90$$

Insert 69 to the appropriate location in the new list.

$$46,48,50,51,52,53,54,60,69,69,69,70,75,90$$

Insert 51 to the appropriate location in the new list.

$$46,48,50,51,51,52,53,54,60,69,69,69,70,75,90$$

Insert 48 to the appropriate location in the new list.

$$46,48,48,50,51,51,52,53,54,60,69,69,69,70,75,90$$

Insert 53 to the appropriate location in the new list.

$$46,48,48,50,51,51,52,53,53,54,60,69,69,69,70,75,90$$

Insert 64 to the appropriate location in the new list.

$$46,48,48,50,51,51,52,53,53,54,60,64,69,69,69,70,75,90$$

Insert 89 to the appropriate location in the new list.

$$46,48,48,50,51,51,52,53,53,54,60,64,69,69,69,70,75,89,90$$

Insert 45 to the appropriate location in the new list.

$$45,46,48,48,50,51,51,52,53,53,54,60,64,69,69,69,70,75,89,90$$

Insert 56 to the appropriate location in the new list.

$$45,46,48,48,50,51,51,52,53,53,54,56,60,64,69,69,69,70,75,89,90$$

Insert 63 to the appropriate location in the new list.

$$45,46,48,48,50,51,51,52,53,53,54,56,60,63,64,69,69,69,70,75,89,90$$

Insert 58 to the appropriate location in the new list.

$$45,46,48,48,50,51,51,52,53,53,54,56,58,60,63,64,69,69,69,70,75,89,90$$

Insert 49 to the appropriate location in the new list.

$$45,46,48,48,49,50,51,51,52,53,53,54,56,58,60,63,64,69,69,69,70,75,89,90$$

Insert 46 to the appropriate location in the new list.

$$45,46,46,48,48,49,50,51,51,52,53,53,54,56,58,60,63,64,69,69,69,70,75,89,90$$

Insert 60 to the appropriate location in the new list.

$$45,46,46,48,48,49,50,51,51,52,53,53,54,56,58,60,60,63,64,69,69,69,70,75,89,90$$

Insert 76 to the appropriate location in the new list.

$$45,46,46,48,48,49,50,51,51,52,53,53,54,56,58,60,60,63,64,69,69,69,70,75,76,89,90$$

Evaluate

$$53,\ 52,\ 60,\ 75,\ 90,\ 46,\ 50,\ 69,\ 69,\ 51,\ 48,\ 54,\ 70,\ 69,\ 51,\ 48,\ 53,\ 64,\ 89,\ 45,\ 56,\ 63,\ 58,\ 49,\ 46,\ 60,\ 76$$