Solve {l}{8845+4000}{8781+500}{8198+100}{4887+22}{5500}{125000}{35000}{1000}{1000}{1000}

$$\left. \begin{array} { l } { 8845 + 4000 } \\ { 8781 + 500 } \\ { 8198 + 100 } \\ { 4887 + 22 } \\ { 5500 } \\ { 125000 } \\ { 35000 } \\ { 1000 } \\ { 1000 } \\ { 1000 } \end{array} \right.$$

Sort

$$1000,1000,1000,4909,5500,8298,9281,12845,35000,125000$$

Solution Steps

Add 8845 and 4000 to get 12845.

$$sort(12845,8781+500,8198+100,4887+22,5500,125000,35000,1000,1000,1000)$$

Add 8781 and 500 to get 9281.

$$sort(12845,9281,8198+100,4887+22,5500,125000,35000,1000,1000,1000)$$

Add 8198 and 100 to get 8298.

$$sort(12845,9281,8298,4887+22,5500,125000,35000,1000,1000,1000)$$

Add 4887 and 22 to get 4909.

$$sort(12845,9281,8298,4909,5500,125000,35000,1000,1000,1000)$$

To sort the list, start from a single element 12845.

$$12845$$

Insert 9281 to the appropriate location in the new list.

$$9281,12845$$

Insert 8298 to the appropriate location in the new list.

$$8298,9281,12845$$

Insert 4909 to the appropriate location in the new list.

$$4909,8298,9281,12845$$

Insert 5500 to the appropriate location in the new list.

$$4909,5500,8298,9281,12845$$

Insert 125000 to the appropriate location in the new list.

$$4909,5500,8298,9281,12845,125000$$

Insert 35000 to the appropriate location in the new list.

$$4909,5500,8298,9281,12845,35000,125000$$

Insert 1000 to the appropriate location in the new list.

$$1000,4909,5500,8298,9281,12845,35000,125000$$

Insert 1000 to the appropriate location in the new list.

$$1000,1000,4909,5500,8298,9281,12845,35000,125000$$

Insert 1000 to the appropriate location in the new list.

$$1000,1000,1000,4909,5500,8298,9281,12845,35000,125000$$

Evaluate

$$12845,\ 9281,\ 8298,\ 4909,\ 5500,\ 125000,\ 35000,\ 1000,\ 1000,\ 1000$$