\left. \begin{array} { l } { 62,54,53,44,46,55,46,56,68,63 } \\ { 59,61,66,54,39,48,47,53,59,57 } \\ { 3,35,40,30,46,44,36,49,54,51 } \end{array} \right.
Sort
3,30,35,36,39,40,44,44,46,46,46,47,48,49,51,53,53,54,54,54,55,56,57,59,59,61,62,63,66,68
Evaluate
62,\ 54,\ 53,\ 44,\ 46,\ 55,\ 46,\ 56,\ 68,\ 63,\ 59,\ 61,\ 66,\ 54,\ 39,\ 48,\ 47,\ 53,\ 59,\ 57,\ 3,\ 35,\ 40,\ 30,\ 46,\ 44,\ 36,\ 49,\ 54,\ 51
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62
To sort the list, start from a single element 62.
54,62
Insert 54 to the appropriate location in the new list.
53,54,62
Insert 53 to the appropriate location in the new list.
44,53,54,62
Insert 44 to the appropriate location in the new list.
44,46,53,54,62
Insert 46 to the appropriate location in the new list.
44,46,53,54,55,62
Insert 55 to the appropriate location in the new list.
44,46,46,53,54,55,62
Insert 46 to the appropriate location in the new list.
44,46,46,53,54,55,56,62
Insert 56 to the appropriate location in the new list.
44,46,46,53,54,55,56,62,68
Insert 68 to the appropriate location in the new list.
44,46,46,53,54,55,56,62,63,68
Insert 63 to the appropriate location in the new list.
44,46,46,53,54,55,56,59,62,63,68
Insert 59 to the appropriate location in the new list.
44,46,46,53,54,55,56,59,61,62,63,68
Insert 61 to the appropriate location in the new list.
44,46,46,53,54,55,56,59,61,62,63,66,68
Insert 66 to the appropriate location in the new list.
44,46,46,53,54,54,55,56,59,61,62,63,66,68
Insert 54 to the appropriate location in the new list.
39,44,46,46,53,54,54,55,56,59,61,62,63,66,68
Insert 39 to the appropriate location in the new list.
39,44,46,46,48,53,54,54,55,56,59,61,62,63,66,68
Insert 48 to the appropriate location in the new list.
39,44,46,46,47,48,53,54,54,55,56,59,61,62,63,66,68
Insert 47 to the appropriate location in the new list.
39,44,46,46,47,48,53,53,54,54,55,56,59,61,62,63,66,68
Insert 53 to the appropriate location in the new list.
39,44,46,46,47,48,53,53,54,54,55,56,59,59,61,62,63,66,68
Insert 59 to the appropriate location in the new list.
39,44,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 57 to the appropriate location in the new list.
3,39,44,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 3 to the appropriate location in the new list.
3,35,39,44,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 35 to the appropriate location in the new list.
3,35,39,40,44,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 40 to the appropriate location in the new list.
3,30,35,39,40,44,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 30 to the appropriate location in the new list.
3,30,35,39,40,44,46,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 46 to the appropriate location in the new list.
3,30,35,39,40,44,44,46,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 44 to the appropriate location in the new list.
3,30,35,36,39,40,44,44,46,46,46,47,48,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 36 to the appropriate location in the new list.
3,30,35,36,39,40,44,44,46,46,46,47,48,49,53,53,54,54,55,56,57,59,59,61,62,63,66,68
Insert 49 to the appropriate location in the new list.
3,30,35,36,39,40,44,44,46,46,46,47,48,49,53,53,54,54,54,55,56,57,59,59,61,62,63,66,68
Insert 54 to the appropriate location in the new list.
3,30,35,36,39,40,44,44,46,46,46,47,48,49,51,53,53,54,54,54,55,56,57,59,59,61,62,63,66,68
Insert 51 to the appropriate location in the new list.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}