{"problem":{"name":"Fraction Floor Sum","description":{"content":"Given is a positive integer $N$. Find the value $\\displaystyle\\sum_{i=1}^N \\left[ \\frac{N}{i} \\right]$. Here, for a real number $x$, $[x]$ denotes the largest integer not exceeding $x$.","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc230_e"},"statements":[{"statement_type":"Markdown","content":"Given is a positive integer $N$. Find the value $\\displaystyle\\sum_{i=1}^N \\left[ \\frac{N}{i} \\right]$.\nHere, for a real number $x$, $[x]$ denotes the largest integer not exceeding $x$.\n\n## Constraints\n\n*   $1 \\leq N \\leq 10^{12}$\n*   $N$ is an integer.\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":"abc230_e","tags":[],"sample_group":[["3","5\n\nWe have $\\left[ \\frac{3}{1} \\right]+\\left[ \\frac{3}{2} \\right]+\\left[ \\frac{3}{3} \\right]=3+1+1=5$."],["10000000000","231802823220\n\nNote that the input and output may not fit into a $32$\\-bit integer type."]],"created_at":"2026-03-03 11:01:13"}}