Solve {l}{36-9}{81-6}{42+9}{73+9}{47-9}{16+5}{51-8}{36+5}{79+7}{32-6}{56+5}{27+8}{17+6}{65+8}{18+5}

$$\left. \begin{array} { l } { 36 - 9 } \\ { 81 - 6 } \\ { 42 + 9 } \\ { 73 + 9 } \\ { 47 - 9 } \\ { 16 + 5 } \\ { 51 - 8 } \\ { 36 + 5 } \\ { 79 + 7 } \\ { 32 - 6 } \\ { 56 + 5 } \\ { 27 + 8 } \\ { 17 + 6 } \\ { 65 + 8 } \\ { 18 + 5 } \end{array} \right.$$

Sort

$$21,23,23,26,27,35,38,41,43,51,61,73,75,82,86$$

Solution Steps

Subtract 9 from 36 to get 27.

$$sort(27,81-6,42+9,73+9,47-9,16+5,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Subtract 6 from 81 to get 75.

$$sort(27,75,42+9,73+9,47-9,16+5,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Add 42 and 9 to get 51.

$$sort(27,75,51,73+9,47-9,16+5,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Add 73 and 9 to get 82.

$$sort(27,75,51,82,47-9,16+5,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Subtract 9 from 47 to get 38.

$$sort(27,75,51,82,38,16+5,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Add 16 and 5 to get 21.

$$sort(27,75,51,82,38,21,51-8,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Subtract 8 from 51 to get 43.

$$sort(27,75,51,82,38,21,43,36+5,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Add 36 and 5 to get 41.

$$sort(27,75,51,82,38,21,43,41,79+7,32-6,56+5,27+8,17+6,65+8,18+5)$$

Add 79 and 7 to get 86.

$$sort(27,75,51,82,38,21,43,41,86,32-6,56+5,27+8,17+6,65+8,18+5)$$

Subtract 6 from 32 to get 26.

$$sort(27,75,51,82,38,21,43,41,86,26,56+5,27+8,17+6,65+8,18+5)$$

Add 56 and 5 to get 61.

$$sort(27,75,51,82,38,21,43,41,86,26,61,27+8,17+6,65+8,18+5)$$

Add 27 and 8 to get 35.

$$sort(27,75,51,82,38,21,43,41,86,26,61,35,17+6,65+8,18+5)$$

Add 17 and 6 to get 23.

$$sort(27,75,51,82,38,21,43,41,86,26,61,35,23,65+8,18+5)$$

Add 65 and 8 to get 73.

$$sort(27,75,51,82,38,21,43,41,86,26,61,35,23,73,18+5)$$

Add 18 and 5 to get 23.

$$sort(27,75,51,82,38,21,43,41,86,26,61,35,23,73,23)$$

To sort the list, start from a single element 27.

$$27$$

Insert 75 to the appropriate location in the new list.

$$27,75$$

Insert 51 to the appropriate location in the new list.

$$27,51,75$$

Insert 82 to the appropriate location in the new list.

$$27,51,75,82$$

Insert 38 to the appropriate location in the new list.

$$27,38,51,75,82$$

Insert 21 to the appropriate location in the new list.

$$21,27,38,51,75,82$$

Insert 43 to the appropriate location in the new list.

$$21,27,38,43,51,75,82$$

Insert 41 to the appropriate location in the new list.

$$21,27,38,41,43,51,75,82$$

Insert 86 to the appropriate location in the new list.

$$21,27,38,41,43,51,75,82,86$$

Insert 26 to the appropriate location in the new list.

$$21,26,27,38,41,43,51,75,82,86$$

Insert 61 to the appropriate location in the new list.

$$21,26,27,38,41,43,51,61,75,82,86$$

Insert 35 to the appropriate location in the new list.

$$21,26,27,35,38,41,43,51,61,75,82,86$$

Insert 23 to the appropriate location in the new list.

$$21,23,26,27,35,38,41,43,51,61,75,82,86$$

Insert 73 to the appropriate location in the new list.

$$21,23,26,27,35,38,41,43,51,61,73,75,82,86$$

Insert 23 to the appropriate location in the new list.

$$21,23,23,26,27,35,38,41,43,51,61,73,75,82,86$$

Evaluate

$$27,\ 75,\ 51,\ 82,\ 38,\ 21,\ 43,\ 41,\ 86,\ 26,\ 61,\ 35,\ 23,\ 73,\ 23$$