Solve {l}{57+100+15}{135+10}{34+10+70}{28}{37+78+12}{35+235+12}{10+20}{10+15+166+36+2}{151+115+10}

$$\left. \begin{array} { l } { 57 + 100 + 15 } \\ { 135 + 10 } \\ { 34 + 10 + 70 } \\ { 28 } \\ { 37 + 78 + 12 } \\ { 35 + 235 + 12 } \\ { 10 + 20 } \\ { 10 + 15 + 166 + 36 + 2 } \\ { 151 + 115 + 10 } \end{array} \right.$$

Sort

$$28,30,114,127,145,172,229,276,282$$

Solution Steps

Add 57 and 100 to get 157.

$$sort(157+15,135+10,34+10+70,28,37+78+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 157 and 15 to get 172.

$$sort(172,135+10,34+10+70,28,37+78+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 135 and 10 to get 145.

$$sort(172,145,34+10+70,28,37+78+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 34 and 10 to get 44.

$$sort(172,145,44+70,28,37+78+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 44 and 70 to get 114.

$$sort(172,145,114,28,37+78+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 37 and 78 to get 115.

$$sort(172,145,114,28,115+12,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 115 and 12 to get 127.

$$sort(172,145,114,28,127,35+235+12,10+20,10+15+166+36+2,151+115+10)$$

Add 35 and 235 to get 270.

$$sort(172,145,114,28,127,270+12,10+20,10+15+166+36+2,151+115+10)$$

Add 270 and 12 to get 282.

$$sort(172,145,114,28,127,282,10+20,10+15+166+36+2,151+115+10)$$

Add 10 and 20 to get 30.

$$sort(172,145,114,28,127,282,30,10+15+166+36+2,151+115+10)$$

Add 10 and 15 to get 25.

$$sort(172,145,114,28,127,282,30,25+166+36+2,151+115+10)$$

Add 25 and 166 to get 191.

$$sort(172,145,114,28,127,282,30,191+36+2,151+115+10)$$

Add 191 and 36 to get 227.

$$sort(172,145,114,28,127,282,30,227+2,151+115+10)$$

Add 227 and 2 to get 229.

$$sort(172,145,114,28,127,282,30,229,151+115+10)$$

Add 151 and 115 to get 266.

$$sort(172,145,114,28,127,282,30,229,266+10)$$

Add 266 and 10 to get 276.

$$sort(172,145,114,28,127,282,30,229,276)$$

To sort the list, start from a single element 172.

$$172$$

Insert 145 to the appropriate location in the new list.

$$145,172$$

Insert 114 to the appropriate location in the new list.

$$114,145,172$$

Insert 28 to the appropriate location in the new list.

$$28,114,145,172$$

Insert 127 to the appropriate location in the new list.

$$28,114,127,145,172$$

Insert 282 to the appropriate location in the new list.

$$28,114,127,145,172,282$$

Insert 30 to the appropriate location in the new list.

$$28,30,114,127,145,172,282$$

Insert 229 to the appropriate location in the new list.

$$28,30,114,127,145,172,229,282$$

Insert 276 to the appropriate location in the new list.

$$28,30,114,127,145,172,229,276,282$$

Evaluate

$$172,\ 145,\ 114,\ 28,\ 127,\ 282,\ 30,\ 229,\ 276$$