20,15,14,22,24,12,18,910,12,17
Sort
12,12,14,15,17,18,20,22,24,910
Evaluate
20,15,14,22,24,12,18,910,12,17
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20
To sort the list, start from a single element 20.
15,20
Insert 15 to the appropriate location in the new list.
14,15,20
Insert 14 to the appropriate location in the new list.
14,15,20,22
Insert 22 to the appropriate location in the new list.
14,15,20,22,24
Insert 24 to the appropriate location in the new list.
12,14,15,20,22,24
Insert 12 to the appropriate location in the new list.
12,14,15,18,20,22,24
Insert 18 to the appropriate location in the new list.
12,14,15,18,20,22,24,910
Insert 910 to the appropriate location in the new list.
12,12,14,15,18,20,22,24,910
Insert 12 to the appropriate location in the new list.
12,12,14,15,17,18,20,22,24,910
Insert 17 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}