{"problem":{"name":"Digits in Multiplication","description":{"content":"You are given an integer $N$.   For two positive integers $A$ and $B$, we will define $F(A,B)$ as the larger of the following: the number of digits in the decimal notation of $A$, and the number of di","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc057_c"},"statements":[{"statement_type":"Markdown","content":"You are given an integer $N$.  \nFor two positive integers $A$ and $B$, we will define $F(A,B)$ as the larger of the following: the number of digits in the decimal notation of $A$, and the number of digits in the decimal notation of $B$.  \nFor example, $F(3,11) = 2$ since $3$ has one digit and $11$ has two digits.  \nFind the minimum value of $F(A,B)$ as $(A,B)$ ranges over all pairs of positive integers such that $N = A \\times B$.\n\n## Constraints\n\n*   $1 \\leq N \\leq 10^{10}$\n*   $N$ is an integer.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc057_c","tags":[],"sample_group":[["10000","3\n\n$F(A,B)$ has a minimum value of $3$ at $(A,B)=(100,100)$."],["1000003","7\n\nThere are two pairs $(A,B)$ that satisfy the condition: $(1,1000003)$ and $(1000003,1)$. For these pairs, $F(1,1000003)=F(1000003,1)=7$."],["9876543210","6"]],"created_at":"2026-03-03 11:01:14"}}