Problem $2\mathrm{.}1.$ Write a program to compute the term $a_m$ in the sequence $\{a_n{\}}_{n}0$ :

$a_0=0,a_1=1,a_2=1,a_{n+1}=a_n+a_{n-1}+a_{n-2}$

Problem $2\mathrm{.}2.$ Write a program to use Laplace expansion $($see its definition on page $2)$ to compute the determinant of a matrix $Ain{R}^{nn},$ where $1n10.$

Problem $2\mathrm{.}3.$ Write a program with running time ${?}^1$ as close to $1$ second as possible.