\left. \begin{array} { l } { 20 } \\ { 40 } \\ { 30 } \\ { 20 } \\ { 30 } \\ { 30 } \\ { 40 } \\ { 20 } \\ { 20 } \\ { 30 } \\ { 20 } \\ { 30 } \\ { 40 } \\ { 80 } \\ { 30 } \\ { 40 } \\ { 30 } \\ { 30 } \end{array} \right.
Sort
20,20,20,20,20,30,30,30,30,30,30,30,30,40,40,40,40,80
Evaluate
20,\ 40,\ 30,\ 20,\ 30,\ 30,\ 40,\ 20,\ 20,\ 30,\ 20,\ 30,\ 40,\ 80,\ 30,\ 40,\ 30,\ 30
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20
To sort the list, start from a single element 20.
20,40
Insert 40 to the appropriate location in the new list.
20,30,40
Insert 30 to the appropriate location in the new list.
20,20,30,40
Insert 20 to the appropriate location in the new list.
20,20,30,30,40
Insert 30 to the appropriate location in the new list.
20,20,30,30,30,40
Insert 30 to the appropriate location in the new list.
20,20,30,30,30,40,40
Insert 40 to the appropriate location in the new list.
20,20,20,30,30,30,40,40
Insert 20 to the appropriate location in the new list.
20,20,20,20,30,30,30,40,40
Insert 20 to the appropriate location in the new list.
20,20,20,20,30,30,30,30,40,40
Insert 30 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,40,40
Insert 20 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,40,40
Insert 30 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,40,40,40
Insert 40 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,40,40,40,80
Insert 80 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,30,40,40,40,80
Insert 30 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,30,40,40,40,40,80
Insert 40 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,30,30,40,40,40,40,80
Insert 30 to the appropriate location in the new list.
20,20,20,20,20,30,30,30,30,30,30,30,30,40,40,40,40,80
Insert 30 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}