450000 - 13,60,000 - 13,31,000 - 5,90,250
Sort
-13,-5,31,60,90,250,449987
Evaluate
449987,60,-13,31,-5,90,250
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sort(449987,60,0-13,31,0-5,90,250)
Subtract 13 from 450000 to get 449987.
sort(449987,60,-13,31,0-5,90,250)
Subtract 13 from 0 to get -13.
sort(449987,60,-13,31,-5,90,250)
Subtract 5 from 0 to get -5.
449987
To sort the list, start from a single element 449987.
60,449987
Insert 60 to the appropriate location in the new list.
-13,60,449987
Insert -13 to the appropriate location in the new list.
-13,31,60,449987
Insert 31 to the appropriate location in the new list.
-13,-5,31,60,449987
Insert -5 to the appropriate location in the new list.
-13,-5,31,60,90,449987
Insert 90 to the appropriate location in the new list.
-13,-5,31,60,90,250,449987
Insert 250 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}