Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 131072/131072 K (Java/Others)

There is a youngster known for amateur propositions concerning several mathematical hard problems.

Nowadays, he is preparing a thought-provoking problem on a specific type of supercomputer which has ability to support calculations of integers between $0$ and $(2^m - 1)$ (inclusive).

As a young man born with ten fingers, he loves the powers of $10$ so much, which results in his eccentricity that he always ranges integers he would like to use from $1$ to $10^k$ (inclusive).

For the sake of processing, all integers he would use possibly in this interesting problem ought to be as computable as this supercomputer could.

Given the positive integer $m$, your task is to determine maximum possible integer $k$ that is suitable for the specific supercomputer.

Nowadays, he is preparing a thought-provoking problem on a specific type of supercomputer which has ability to support calculations of integers between $0$ and $(2^m - 1)$ (inclusive).

As a young man born with ten fingers, he loves the powers of $10$ so much, which results in his eccentricity that he always ranges integers he would like to use from $1$ to $10^k$ (inclusive).

For the sake of processing, all integers he would use possibly in this interesting problem ought to be as computable as this supercomputer could.

Given the positive integer $m$, your task is to determine maximum possible integer $k$ that is suitable for the specific supercomputer.

The input contains multiple test cases. Each test case in one line contains only one positive integer $m$, satisfying $1 \leq m \leq 10^5$.

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