\left. \begin{array} { c } { 60000 } \\ { 8089 } \\ { 27500 } \\ { 82500 } \\ { 30000 } \\ { 75000 } \\ { 75000 } \\ { 30000 } \end{array} \right.
Sort
8089,27500,30000,30000,60000,75000,75000,82500
Evaluate
60000,\ 8089,\ 27500,\ 82500,\ 30000,\ 75000,\ 75000,\ 30000
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60000
To sort the list, start from a single element 60000.
8089,60000
Insert 8089 to the appropriate location in the new list.
8089,27500,60000
Insert 27500 to the appropriate location in the new list.
8089,27500,60000,82500
Insert 82500 to the appropriate location in the new list.
8089,27500,30000,60000,82500
Insert 30000 to the appropriate location in the new list.
8089,27500,30000,60000,75000,82500
Insert 75000 to the appropriate location in the new list.
8089,27500,30000,60000,75000,75000,82500
Insert 75000 to the appropriate location in the new list.
8089,27500,30000,30000,60000,75000,75000,82500
Insert 30000 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}