48 \quad 50,50,55,60,60,75,77,80,82
Sort
50,55,60,60,75,77,80,82,4850
Evaluate
4850,50,55,60,60,75,77,80,82
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4850
To sort the list, start from a single element 4850.
50,4850
Insert 50 to the appropriate location in the new list.
50,55,4850
Insert 55 to the appropriate location in the new list.
50,55,60,4850
Insert 60 to the appropriate location in the new list.
50,55,60,60,4850
Insert 60 to the appropriate location in the new list.
50,55,60,60,75,4850
Insert 75 to the appropriate location in the new list.
50,55,60,60,75,77,4850
Insert 77 to the appropriate location in the new list.
50,55,60,60,75,77,80,4850
Insert 80 to the appropriate location in the new list.
50,55,60,60,75,77,80,82,4850
Insert 82 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}