\left. \begin{array} { l } { 29,72,972,91 } \\ { 8,32,432,42 } \\ { 5,54,594,58 } \\ { 0,01 } \\ { 44,00,000,00 } \end{array} \right.
Sort
0,0,0,0,1,5,8,29,32,42,44,54,58,72,91,432,594,972
Evaluate
29,\ 72,\ 972,\ 91,\ 8,\ 32,\ 432,\ 42,\ 5,\ 54,\ 594,\ 58,\ 0,\ 1,\ 44,\ 0,\ 0,\ 0
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29
To sort the list, start from a single element 29.
29,72
Insert 72 to the appropriate location in the new list.
29,72,972
Insert 972 to the appropriate location in the new list.
29,72,91,972
Insert 91 to the appropriate location in the new list.
8,29,72,91,972
Insert 8 to the appropriate location in the new list.
8,29,32,72,91,972
Insert 32 to the appropriate location in the new list.
8,29,32,72,91,432,972
Insert 432 to the appropriate location in the new list.
8,29,32,42,72,91,432,972
Insert 42 to the appropriate location in the new list.
5,8,29,32,42,72,91,432,972
Insert 5 to the appropriate location in the new list.
5,8,29,32,42,54,72,91,432,972
Insert 54 to the appropriate location in the new list.
5,8,29,32,42,54,72,91,432,594,972
Insert 594 to the appropriate location in the new list.
5,8,29,32,42,54,58,72,91,432,594,972
Insert 58 to the appropriate location in the new list.
0,5,8,29,32,42,54,58,72,91,432,594,972
Insert 0 to the appropriate location in the new list.
0,1,5,8,29,32,42,54,58,72,91,432,594,972
Insert 1 to the appropriate location in the new list.
0,1,5,8,29,32,42,44,54,58,72,91,432,594,972
Insert 44 to the appropriate location in the new list.
0,0,1,5,8,29,32,42,44,54,58,72,91,432,594,972
Insert 0 to the appropriate location in the new list.
0,0,0,1,5,8,29,32,42,44,54,58,72,91,432,594,972
Insert 0 to the appropriate location in the new list.
0,0,0,0,1,5,8,29,32,42,44,54,58,72,91,432,594,972
Insert 0 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}