**TAU**)

**when rounded off to the nearest integer is equal to**

^{.BETA}**PI**, and the absolute difference of (

**TAU**)

**and**

^{.BETA}**PI**is the minimum. Each of

**A**,

**P**and

**T**is nonzero.

__Notes__:

(i)

**PI**does not represent the quantity π and,

**.BETA**denotes a decimal fraction.

(ii) Relevant

**alphametic**rules are applicable for this problem.