{"problem":{"name":"Handstand 2","description":{"content":"Given is a positive integer $N$.   Find the number of pairs $(A, B)$ of positive integers not greater than $N$ that satisfy the following condition: *   When $A$ and $B$ are written in base ten witho","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc152_d"},"statements":[{"statement_type":"Markdown","content":"Given is a positive integer $N$.  \nFind the number of pairs $(A, B)$ of positive integers not greater than $N$ that satisfy the following condition:\n\n*   When $A$ and $B$ are written in base ten without leading zeros, the last digit of $A$ is equal to the first digit of $B$, and the first digit of $A$ is equal to the last digit of $B$.\n\n## Constraints\n\n*   $1 \\leq N \\leq 2 \\times 10^5$\n*   All values in input are integers.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc152_d","tags":[],"sample_group":[["25","17\n\nThe following $17$ pairs satisfy the condition: $(1,1)$, $(1,11)$, $(2,2)$, $(2,22)$, $(3,3)$, $(4,4)$, $(5,5)$, $(6,6)$, $(7,7)$, $(8,8)$, $(9,9)$, $(11,1)$, $(11,11)$, $(12,21)$, $(21,12)$, $(22,2)$, and $(22,22)$."],["1","1"],["100","108"],["2020","40812"],["200000","400000008"]],"created_at":"2026-03-03 11:01:13"}}