Given the following table, pre$-$condition and post$-$condition:

Pre$-$condition: You need to distribute $20$ tutors over $70$ shifts

Post$-$condition: The distribution should be over a maximum of $9$ days

a$-$ Which algorithm$($s$)$ have a weaker pre$-$condition?

b$-$ Which algorithm$($s$)$ have a stronger post$-$condition?

c$-$ Which algorithm$($s$)$ would be suitable to use?