$1$ Consider a $500$x$500$ grid world where the agent starts each episode in the bottom left corner and the goal is to reach the top$-$right corner in the least number of steps. To learn an optimal policy in this setup you decided on a reward function wherein the agent receives a reward of $+1$ on reaching the goal and $0$ otherwise. Suppose you try to learn the optimal policy in two ways:

A: You use discounted returns with in $(0,1)$ &

B: You use total return with no discounting.

Which among the following you expect to observe and why?

a$)$ the same policy is learnt in A and B

b$)$ no learning in A

c$)$ no learning in B

d$)$ policy learnt in B is better than the policy learned in A