Question 143
Solve in the set of real numbers the equation:
$$
\sum_{k=1}^{2n} \left([x] + [(-1)^k x + k]\right) = 2n(n+2).
$$
Here $[x]$ denotes the integer part of the real number $x$.
$$
\sum_{k=1}^{2n} \left([x] + [(-1)^k x + k]\right) = 2n(n+2).
$$
Here $[x]$ denotes the integer part of the real number $x$.