Consider the following code segment.x = u - t; y = x * v; x = y + w; y = t - z; y = x * y;The minimum number of total variables required to convert the above code segment to static single assignment form is _________ .

In Static Single Assignment (SSA) form, each variable must be assigned exactly once, and every variable used must be defined before use.

1. Initial (input) variables used without prior definition in the block:

   • $u, t, v, w, z$ (Total = 5 variables)

2. Converting the statements by creating a new unique variable version at each definition:

   • Line 1: $x_1 = u - t$

   • Line 2: $y_1 = x_1 * v$

   • Line 3: $x_2 = y_1 + w$

   • Line 4: $y_2 = t - z$

   • Line 5: $y_3 = x_2 * y_2$

   This introduces 5 newly defined distinct variables: $x_1, y_1, x_2, y_2, y_3$.

3. Total number of variables in the SSA code:

   $$\text{Total variables} = \{u, t, v, w, z\} \cup \{x_1, y_1, x_2, y_2, y_3\}$$

   $$\text{Total count} = 5 + 5 = 10$$

Thus, the minimum number of total variables required is 10.