{"problem":{"name":"Tax Included Price","description":{"content":"The consumption tax rate in the Republic of ARC is $t$ percent, where $t$ is a positive integer. There is a shop called Seisu-ya _(integer shop)_ there. It sells each positive integer $A$ for $A$ yen ","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"arc118_a"},"statements":[{"statement_type":"Markdown","content":"The consumption tax rate in the Republic of ARC is $t$ percent, where $t$ is a positive integer.\nThere is a shop called Seisu-ya _(integer shop)_ there. It sells each positive integer $A$ for $A$ yen (Japanese currency) excluding tax, that is, $\\left\\lfloor\\frac{100+t}{100}A\\right\\rfloor$ yen including tax. Here, $\\lfloor x\\rfloor$ denotes the largest integer not greater than $x$ for a real number $x$.\nAlthough Seisu-ya sells every positive integer, there are some positive integer values that cannot be the tax-included price of an integer. Among those values, find the $N$\\-th smallest value.\n\n## Constraints\n\n*   $1\\leq t\\leq 50$\n*   $1\\leq N\\leq 10^{9}$\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$t$ $N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"arc118_a","tags":[],"sample_group":[["10 1","10\n\nIn this sample, the consumption tax rate is $10$ percent.\n\n*   The integer $9$ is sold for $\\left\\lfloor \\frac{110}{100}\\times 9\\right\\rfloor = \\lfloor 9.9\\rfloor = 9$ yen including tax.\n*   The integer $10$ is sold for $\\left\\lfloor \\frac{110}{100}\\times 10\\right\\rfloor = \\lfloor 11\\rfloor = 11$ yen including tax.\n\nFrom above, we can see that $10$ is not the tax-included price of any integer, and this is the minimum such value."],["3 5","171\n\nIf the consumption tax rate is $3$ percent, the smallest values that cannot be the tax-included price of an integer are $34, 68, 102, 137, 171, \\ldots$"],["1 1000000000","100999999999"]],"created_at":"2026-03-03 11:01:14"}}