Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to *n*, inclusive.

For permutation *p* = *p*<sub class="lower-index">0</sub>, *p*<sub class="lower-index">1</sub>, ..., *p*<sub class="lower-index">*n*</sub>, Polo has defined its beauty — number <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/0c51fe5d835015fdb8b8dbb056e9a83c439c83dc.png" style="max-width: 100.0%;max-height: 100.0%;"/>.

Expression <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b364f2e04c665b78b924ec10666327a4ef4635bc.png" style="max-width: 100.0%;max-height: 100.0%;"/> means applying the operation of bitwise excluding "OR" to numbers *x* and *y*. This operation exists in all modern programming languages, for example, in language C++ and Java it is represented as "^" and in Pascal — as "xor".

Help him find among all permutations of integers from 0 to *n* the permutation with the maximum beauty.
The single line contains a positive integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>).
print("_RANDOM_GUESS_1689343622.501861")# 1689343622.501894