20,10,7,12,11,20,18,5
Sort
5,7,10,11,12,18,20,20
Evaluate
20,10,7,12,11,20,18,5
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20
To sort the list, start from a single element 20.
10,20
Insert 10 to the appropriate location in the new list.
7,10,20
Insert 7 to the appropriate location in the new list.
7,10,12,20
Insert 12 to the appropriate location in the new list.
7,10,11,12,20
Insert 11 to the appropriate location in the new list.
7,10,11,12,20,20
Insert 20 to the appropriate location in the new list.
7,10,11,12,18,20,20
Insert 18 to the appropriate location in the new list.
5,7,10,11,12,18,20,20
Insert 5 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}