$1.$ Problem Characterization: Analyze this problem by circling its main fundamental characteristics. For each characteristic, justify your choice by commenting on it$.$

a$.$ Partial vs$.$ total observability:

b$.$ Deterministic vs$.$ Stochastic:

c$.$ Static vs$.$ dynamic:

d$.$ Discrete vs continuous:

e$.$ Single agent vs multi$-$agent:

$2.$ Several problem$-$solving techniques were presented in the course. For each of the following methods, indicate whether it is appropriate to resolve this problem and provide a rationale for your answer.

a$.$ A$*$ search:

b$.$ Constraint satisfaction $($CSP$)$:

c$.$ Hill$-$Climbing local search