C Interpreter and sizeof operator

If one were writing a C interpreter, is there anything in the standard
standard that requires the sizeof operator to yield the same value for
two different variables of the same type?

Let's assume that the interpreter does conform to the range values
for, say, type int, but allocates storage for the variables based
on their value. So, for two variables foo and bar

int foo = 0; /* interpreter allocates two bytes */
int bar = 200000000; /* interpreter allocates four bytes */

Does the standard require that sizeof foo == sizeof bar thereby
making this allocation scheme broken, unless hidden in some way?
Or is it perfectly acceptable for the sizeof operator to different
results?

Regards, Oz
--
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