Given a coke machine with a series of `buttons`. If you press a button it will get you a certain range of coke. Find out if it\'s possible to get the `target` range of coke. You can press buttons any number of times.\n\n**Example 1:**\n```\nInput: buttons = [[100, 120], [200, 240], [400, 410]], target = [100, 110]\nOutput: false\nExplanation: if we press first button it might give us 120 volume of coke, not in the target range.\n```\n\n**Example 2:**\n```\nInput: buttons = [[100, 120], [200, 240], [400, 410]], target = [90, 120]\nOutput: true\nExplanation: press first button and you will always get amount of coke in the target range.\n```\n\n**Example 3:**\n```\nInput: buttons = [[100, 120], [200, 240], [400, 410]], target = [300, 360]\nOutput: true\nExplanation: press first and second button and you will always get amount of coke in the target range.\n```\n\n**Example 4:**\n```\nInput: buttons = [[100, 120], [200, 240], [400, 410]], target = [310, 360]\nOutput: false\nExplanation: we can press 1st button 3 times or 1st and 2nd button but it\'s possible to get only 300, not in the target range.\n```\n\n**Example 5:**\n```\nInput: buttons = [[100, 120], [200, 240], [400, 410]], target = [1, 9999999999]\nOutput: true\nExplanation: you can press any button.\n```\n\n<details> \n  <summary>My Java solution</summary>\n\nDFS + memo: https://leetcode.com/playground/FHFNnBNR\n</details>\n\n

Given a coke machine with a series of buttons. If you press a button it will get you a certain range of coke. Find out if it\'s possible to get the target range