Dev C$++$

$3(3)$ For random variables $x_n$ between $0$ and $1,$ when you continuously generate independent uniformly distributed random variables $x_1,x_2,x_3,$dots until their total sum exceeds $1$ for the first time, the expected number of random variables required is Euler's number $(e=2\mathrm{.}718281$dots. $.$ Design a program that allows the user to input the number of rounds to calculate the $e$

${\displaystyle \underset{1}{\overset{n_i}{}}}{x}_{n_i}>1$ and ${\displaystyle \underset{1}{\overset{n_i-1}{}}}{x}_{n_i-1}1at{i}^{th}$ round

$e=\frac{{\displaystyle \underset{i=1}{\overset{N}{}}}{n}_i}{N}$

Results look like this

$\backslash$table$[[\backslash$table$[[$Please enter the number of round$],[10]],\backslash$table$[[$Please enter the number of round$],[100]]],[$The estimation of $e$ is $3\mathrm{.}4,$The estimation of e is $2\mathrm{.}63],[\backslash$table$[[$Please enter the number of round$],[1000]],\backslash$table$[[$Please enter the number of round$],[30000]]],[$The estimation of $e,$The estimation of e is $2\mathrm{.}71727]]$