The number of solutions of the equation log₄(x $$-$$ 1) = log₂(x $$-$$ 3) is _________.

The sum of 162^th power of the roots of the equation x³ $$-$$ 2x² + 2x $$-$$ 1 = 0 is ________.

The area bounded by the lines y = || x $$-$$ 1 | $$-$$ 2 | is ___________.

Let m, n$$\in$$N and gcd (2, n) = 1. If $$30\left( {\matrix{ {30} \cr 0 \cr } } \right) + 29\left( {\matrix{ {30} \cr 1 \cr } } \right) + ...... + 2\left( {\matrix{ {30} \cr {28} \cr } } \right) + 1\left( {\matrix{ {30} \cr {29} \cr } } \right) = n{.2^m}$$, then n + m is equal to __________.

(Here $$\left( {\matrix{ n \cr k \cr } } \right) = {}^n{C_k}$$)