{"id":7931,"date":"2021-01-09T14:43:56","date_gmt":"2021-01-09T22:43:56","guid":{"rendered":"https:\/\/zxi.mytechroad.com\/blog\/?p=7931"},"modified":"2021-01-09T14:47:29","modified_gmt":"2021-01-09T22:47:29","slug":"leetcode-1716-calculate-money-in-leetcode-bank","status":"publish","type":"post","link":"https:\/\/zxi.mytechroad.com\/blog\/simulation\/leetcode-1716-calculate-money-in-leetcode-bank\/","title":{"rendered":"\u82b1\u82b1\u9171 LeetCode 1716. Calculate Money in Leetcode Bank"},"content":{"rendered":"\n

Hercy wants to save money for his first car. He puts money in the Leetcode bank every day<\/strong>.<\/p>\n\n\n\n

He starts by putting in $1<\/code> on Monday, the first day. Every day from Tuesday to Sunday, he will put in $1<\/code> more than the day before. On every subsequent Monday, he will put in $1<\/code> more than the previous Monday<\/strong>.<\/p>\n\n\n\n

Given n<\/code>, return the total amount of money he will have in the Leetcode bank at the end of the <\/em>nth<\/sup><\/code> day.<\/em><\/p>\n\n\n\n

Example 1:<\/strong><\/p>\n\n\n\n

Input:<\/strong> n = 4\nOutput:<\/strong> 10\nExplanation:<\/strong> After the 4th<\/sup> day, the total is 1 + 2 + 3 + 4 = 10.\n<\/pre>\n\n\n\n
Example 2:<\/strong><\/p>\n\n\n\n
Input:<\/strong> n = 10\nOutput:<\/strong> 37\nExplanation:<\/strong> After the 10th<\/sup> day, the total is (1 + 2 + 3 + 4 + 5 + 6 + 7) + (2 + 3 + 4) = 37. Notice that on the 2nd<\/sup> Monday, Hercy only puts in $2.\n<\/pre>\n\n\n\n
Example 3:<\/strong><\/p>\n\n\n\n
Input:<\/strong> n = 20\nOutput:<\/strong> 96\nExplanation:<\/strong> After the 20th<\/sup> day, the total is (1 + 2 + 3 + 4 + 5 + 6 + 7) + (2 + 3 + 4 + 5 + 6 + 7 + 8) + (3 + 4 + 5 + 6 + 7 + 8) = 96.\n<\/pre>\n\n\n\n
Constraints:<\/strong><\/p>\n\n\n\n
  • 1 <= n <= 1000<\/code><\/li><\/ul>\n\n\n\n
    Solution 1: Simulation<\/strong><\/h2>\n\n\n\n
    Increase the amount by 1 everyday, the decrease 6 after every sunday.<\/p>\n\n\n\n
    Time complexity: O(n)
    Space complexity: O(1)<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    \n
    C++<\/h2>\n
    \n \n
    \/\/ Author: huahua\nclass Solution {\npublic:\n  int totalMoney(int n) {\n    int total = 0;\n    for (int d = 0, m = 1; d < n; ++d) {\n      total += m++;\n      if (d % 7 == 6) m -= 6;\n    }\n    return total;\n  }\n};\n<\/pre>\n<\/div><\/div>\n\n\n\n
    <\/p>\n\n\n\n
    Could also be solved using Math in O(1)<\/p>\n","protected":false},"excerpt":{"rendered":"
    Hercy wants to save money for his first car. He puts money in the Leetcode bank every day. He starts by putting in $1 on Monday, the first day.…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[48],"tags":[222,685,179],"class_list":["post-7931","post","type-post","status-publish","format-standard","hentry","category-simulation","tag-easy","tag-loop","tag-simulation","entry","simple"],"_links":{"self":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/7931","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/comments?post=7931"}],"version-history":[{"count":6,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/7931\/revisions"}],"predecessor-version":[{"id":7939,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/7931\/revisions\/7939"}],"wp:attachment":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/media?parent=7931"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/categories?post=7931"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/tags?post=7931"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}