{ "data": { "question": { "questionId": "2979", "questionFrontendId": "2830", "categoryTitle": "Algorithms", "boundTopicId": 2392181, "title": "Maximize the Profit as the Salesman", "titleSlug": "maximize-the-profit-as-the-salesman", "content": "
You are given an integer n
representing the number of houses on a number line, numbered from 0
to n - 1
.
Additionally, you are given a 2D integer array offers
where offers[i] = [starti, endi, goldi]
, indicating that ith
buyer wants to buy all the houses from starti
to endi
for goldi
amount of gold.
As a salesman, your goal is to maximize your earnings by strategically selecting and selling houses to buyers.
\n\nReturn the maximum amount of gold you can earn.
\n\nNote that different buyers can't buy the same house, and some houses may remain unsold.
\n\n\n
Example 1:
\n\n\nInput: n = 5, offers = [[0,0,1],[0,2,2],[1,3,2]]\nOutput: 3\nExplanation: There are 5 houses numbered from 0 to 4 and there are 3 purchase offers.\nWe sell houses in the range [0,0] to 1st buyer for 1 gold and houses in the range [1,3] to 3rd buyer for 2 golds.\nIt can be proven that 3 is the maximum amount of gold we can achieve.\n\n\n
Example 2:
\n\n\nInput: n = 5, offers = [[0,0,1],[0,2,10],[1,3,2]]\nOutput: 10\nExplanation: There are 5 houses numbered from 0 to 4 and there are 3 purchase offers.\nWe sell houses in the range [0,2] to 2nd buyer for 10 golds.\nIt can be proven that 10 is the maximum amount of gold we can achieve.\n\n\n
\n
Constraints:
\n\n1 <= n <= 105
1 <= offers.length <= 105
offers[i].length == 3
0 <= starti <= endi <= n - 1
1 <= goldi <= 103
给你一个整数 n
表示数轴上的房屋数量,编号从 0
到 n - 1
。
另给你一个二维整数数组 offers
,其中 offers[i] = [starti, endi, goldi]
表示第 i
个买家想要以 goldi
枚金币的价格购买从 starti
到 endi
的所有房屋。
作为一名销售,你需要有策略地选择并销售房屋使自己的收入最大化。
\n\n返回你可以赚取的金币的最大数目。
\n\n注意 同一所房屋不能卖给不同的买家,并且允许保留一些房屋不进行出售。
\n\n\n\n
示例 1:
\n\n\n输入:n = 5, offers = [[0,0,1],[0,2,2],[1,3,2]]\n输出:3\n解释:\n有 5 所房屋,编号从 0 到 4 ,共有 3 个购买要约。\n将位于 [0,0] 范围内的房屋以 1 金币的价格出售给第 1 位买家,并将位于 [1,3] 范围内的房屋以 2 金币的价格出售给第 3 位买家。\n可以证明我们最多只能获得 3 枚金币。\n\n
示例 2:
\n\n\n输入:n = 5, offers = [[0,0,1],[0,2,10],[1,3,2]]\n输出:10\n解释:有 5 所房屋,编号从 0 到 4 ,共有 3 个购买要约。\n将位于 [0,2] 范围内的房屋以 10 金币的价格出售给第 2 位买家。\n可以证明我们最多只能获得 10 枚金币。\n\n
\n\n
提示:
\n\n1 <= n <= 105
1 <= offers.length <= 105
offers[i].length == 3
0 <= starti <= endi <= n - 1
1 <= goldi <= 103
starti
.dp[i]
= { the maximum amount of gold if the sold houses are in the range [0 … i]
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