A uniform ladder of mass \(M\) and length \(L\) rests against a frictionless vertical wall, making an angle \(\theta\) with a rough horizontal floor. The coefficient of static friction between the ladder and the floor is \(\mu_s\). Which of the following correctly pairs the minimum coefficient of static friction \(\mu_{s,\text{min}}\) required to prevent the ladder from slipping with the change in the required static friction force \(f_s\) if the angle \(\theta\) is increased while remaining in static equilibrium?