$```$

In $[]$: def find$\_$all$\_$modular$\_$reciprocals$($n$)$:

I $=[1]*$n # initialize an array of size n with all $1$s

# your code here

raise NotImplementedError

$```$

In $[]$: def test$\_$modular$\_$reciprocals$($p$)$:

print$($f$\text{'}$Testing for n $=\{$p$\}\text{'})$

I $=$ find$\_$all$\_$modular$\_$reciprocals$($p$)$

for j in range$(1,$ p$)$:

assert $($I$[$j$]*$ j$)\%$p$==1,$ f'Failed: p $=\{$p$\},$ j $=\{$j$\},$ I$[$j$]=\{$I$[$j$]\},($j$*$I$[$j$])\%$p $=\{($j$*$I$[$j$])\%$p$\},$

print$(\text{'}\backslash$t passed'$)$

test$\_$modular$\_$reciprocals$(5)$

test$\_$modular$\_$reciprocals$(11)$

test$\_$modular$\_$reciprocals$(19)$

test$\_$modular$\_$reciprocals$(113)$

test$\_$modular$\_$reciprocals$(1009)$

test$\_$modular$\_$reciprocals$(1013)$

test$\_$modular$\_$reciprocals$(7753)$

test$\_$modular$\_$reciprocals$(971767)$

test$\_$modular$\_$reciprocals$(999983)$

test$\_$modular$\_$reciprocals$(7304107)$

test$\_$modular$\_$reciprocals$(9999991)$

print$(\text{'}$Passed: $10$ points'$)|$