Show that the following libraries are notinterchangeable. Describe an explicit distinguishing calling program, and compute its output probabilities when linked to both libraries:

Lle

eavesdrop$($mL$,$mR in $\{0,1\}$

$\backslash$lambda

$)$:

k $\{0,1\}$

$\backslash$lambda

c :$=$ k $$ mL

return $($k$,$c$)$

Lright

eavesdrop$($mL$,$mR in $\{0,1\}$

$\backslash$lambda

$)$:

k $\{0,1\}$

$\backslash$lambda

c :$=$ k $$ mR

return $($k$,$c$)$