{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"hlce","formal_name":"Humanity's Last Code Exam","introduction":"Humanity's Last Code Exam evaluates problem solving and code generation using ICPC World Finals and IOI problems. The project describes 235 problems; this import selects its public ICPC dataset of 146 problems.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://humanity-s-last-code-exam.github.io/website/","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"6ede001c-614b-5dad-a4ec-ba93f3a04ff7","task_key":"ICPC~2dWorld~2dFinals--examples--2015~5fA","task_revision_id":"2","upstream_id":"2015_A","short_description":"Amalgamated Artichokes","config":"ICPC-World-Finals","split":"examples","body":"{\"platform\":\"atcoder\",\"question_content\":\"**Problem Statement**\\n\\nFatima Cynara is an analyst at Amalgamated Artichokes (AA). As with any company, AA has had some very good times as well as some bad ones. Fatima does trending analysis of the stock prices for AA, and she wants to determine the largest decline in stock prices over various time spans. \\n\\nFor example, if over a span of time the stock prices were 19, 12, 13, 11, 20, and 14, then the largest decline would be 8 between the first and fourth price. If the last price had been 10 instead of 14, then the largest decline would have been 10 between the last two prices.\\n\\nFatima has done some previous analyses and has found that the stock price over any period of time can be modeled reasonably accurately with the following equation:\\n\\n\\\\[ \\\\text{price}(k) = p \\\\cdot (\\\\sin(a \\\\cdot k + b) + \\\\cos(c \\\\cdot k + d) + 2) \\\\]\\n\\nwhere \\\\( p, a, b, c, \\\\) and \\\\( d \\\\) are constants. Fatima would like you to write a program to determine the largest price decline over a given sequence of prices. Figure A.1 illustrates the price function for Sample Input 1. You have to consider the prices only for integer values of \\\\( k \\\\).\\n\\n**Input**\\n\\nThe input consists of a single line containing 6 integers \\\\( p \\\\) (1 ≤ \\\\( p \\\\) ≤ 1000), \\\\( a, b, c, d \\\\) (0 ≤ \\\\( a, b, c, d \\\\) ≤ 1000) and \\\\( n \\\\) (1 ≤ \\\\( n \\\\) ≤ \\\\( 10^6 \\\\)). The first 5 integers are described above. The sequence of stock prices to consider is \\\\(\\\\text{price}(1), \\\\text{price}(2), \\\\ldots, \\\\text{price}(n)\\\\).\\n\\n**Output**\\n\\nDisplay the maximum decline in the stock prices. If there is no decline, display the number 0. Your output should have an absolute or relative error of at most \\\\( 10^{-6} \\\\).\\n\\n**Sample Input 1**\\n```\\n42 1 23 4 8 10\\n```\\n\\n**Sample Output 1**\\n```\\n104.855110477\\n```\\n\\n**Sample Input 2**\\n```\\n100 7 615 998 801 3\\n```\\n\\n**Sample Output 2**\\n```\\n0.00\\n```\\n\\n**Sample Input 3**\\n```\\n100 432 406 867 60 1000\\n```\\n\\n**Sample Output 3**\\n```\\n399.303813\\n```\",\"question_title\":\"Amalgamated Artichokes\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://humanity-s-last-code-exam.github.io/website/","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}