Solve {r}{77}{112}{114}{104}{99}{92}{80}{113}{99}{97}{80}{84}{89}{100}{111}{75}{94}{67}{46}{106}{99}{102}

$$\left. \begin{array} { r } { 77 } \\ { 112 } \\ { 114 } \\ { 104 } \\ { 99 } \\ { 92 } \\ { 80 } \\ { 113 } \\ { 99 } \\ { 97 } \\ { 80 } \\ { 84 } \\ { 89 } \\ { 100 } \\ { 111 } \\ { 75 } \\ { 94 } \\ { 67 } \\ { 46 } \\ { 106 } \\ { 99 } \\ { 102 } \end{array} \right.$$

Sort

$$46,67,75,77,80,80,84,89,92,94,97,99,99,99,100,102,104,106,111,112,113,114$$

Solution Steps

To sort the list, start from a single element 77.

$$77$$

Insert 112 to the appropriate location in the new list.

$$77,112$$

Insert 114 to the appropriate location in the new list.

$$77,112,114$$

Insert 104 to the appropriate location in the new list.

$$77,104,112,114$$

Insert 99 to the appropriate location in the new list.

$$77,99,104,112,114$$

Insert 92 to the appropriate location in the new list.

$$77,92,99,104,112,114$$

Insert 80 to the appropriate location in the new list.

$$77,80,92,99,104,112,114$$

Insert 113 to the appropriate location in the new list.

$$77,80,92,99,104,112,113,114$$

Insert 99 to the appropriate location in the new list.

$$77,80,92,99,99,104,112,113,114$$

Insert 97 to the appropriate location in the new list.

$$77,80,92,97,99,99,104,112,113,114$$

Insert 80 to the appropriate location in the new list.

$$77,80,80,92,97,99,99,104,112,113,114$$

Insert 84 to the appropriate location in the new list.

$$77,80,80,84,92,97,99,99,104,112,113,114$$

Insert 89 to the appropriate location in the new list.

$$77,80,80,84,89,92,97,99,99,104,112,113,114$$

Insert 100 to the appropriate location in the new list.

$$77,80,80,84,89,92,97,99,99,100,104,112,113,114$$

Insert 111 to the appropriate location in the new list.

$$77,80,80,84,89,92,97,99,99,100,104,111,112,113,114$$

Insert 75 to the appropriate location in the new list.

$$75,77,80,80,84,89,92,97,99,99,100,104,111,112,113,114$$

Insert 94 to the appropriate location in the new list.

$$75,77,80,80,84,89,92,94,97,99,99,100,104,111,112,113,114$$

Insert 67 to the appropriate location in the new list.

$$67,75,77,80,80,84,89,92,94,97,99,99,100,104,111,112,113,114$$

Insert 46 to the appropriate location in the new list.

$$46,67,75,77,80,80,84,89,92,94,97,99,99,100,104,111,112,113,114$$

Insert 106 to the appropriate location in the new list.

$$46,67,75,77,80,80,84,89,92,94,97,99,99,100,104,106,111,112,113,114$$

Insert 99 to the appropriate location in the new list.

$$46,67,75,77,80,80,84,89,92,94,97,99,99,99,100,104,106,111,112,113,114$$

Insert 102 to the appropriate location in the new list.

$$46,67,75,77,80,80,84,89,92,94,97,99,99,99,100,102,104,106,111,112,113,114$$

Evaluate

$$77,\ 112,\ 114,\ 104,\ 99,\ 92,\ 80,\ 113,\ 99,\ 97,\ 80,\ 84,\ 89,\ 100,\ 111,\ 75,\ 94,\ 67,\ 46,\ 106,\ 99,\ 102$$