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248 changes: 248 additions & 0 deletionsarticles/calculate-money-in-leetcode-bank.md
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,248 @@ | ||
| ##1. Simulation | ||
| ::tabs-start | ||
| ```python | ||
| classSolution: | ||
| deftotalMoney(self,n:int) ->int: | ||
| day, deposit=0,1 | ||
| res=0 | ||
| while day< n: | ||
| res+= deposit | ||
| deposit+=1 | ||
| day+=1 | ||
| if day%7==0: | ||
| deposit=1+ day//7 | ||
| return res | ||
| ``` | ||
| ```java | ||
| publicclassSolution { | ||
| publicinttotalMoney(intn) { | ||
| int day=0, deposit=1, res=0; | ||
| while (day< n) { | ||
| res+= deposit; | ||
| deposit++; | ||
| day++; | ||
| if (day%7==0) { | ||
| deposit=1+ day/7; | ||
| } | ||
| } | ||
| return res; | ||
| } | ||
| } | ||
| ``` | ||
| ```cpp | ||
| classSolution { | ||
| public: | ||
| int totalMoney(int n) { | ||
| int day = 0, deposit = 1, res = 0; | ||
| while (day < n) { | ||
| res += deposit; | ||
| deposit++; | ||
| day++; | ||
| if (day % 7 == 0) { | ||
| deposit = 1 + day / 7; | ||
| } | ||
| } | ||
| return res; | ||
| } | ||
| }; | ||
| ``` | ||
| ```javascript | ||
| classSolution { | ||
| /** | ||
| *@param{number}n | ||
| *@return{number} | ||
| */ | ||
| totalMoney(n) { | ||
| let day=0, deposit=1, res=0; | ||
| while (day< n) { | ||
| res+= deposit; | ||
| deposit++; | ||
| day++; | ||
| if (day%7===0) { | ||
| deposit=1+Math.floor(day/7); | ||
| } | ||
| } | ||
| return res; | ||
| } | ||
| } | ||
| ``` | ||
| ::tabs-end | ||
| ###Time & Space Complexity | ||
| * Time complexity: $O(n)$ | ||
| * Space complexity: $O(1)$ | ||
| --- | ||
| ##2. Math | ||
| ::tabs-start | ||
| ```python | ||
| classSolution: | ||
| deftotalMoney(self,n:int) ->int: | ||
| weeks= n//7 | ||
| low=28 | ||
| high=28+7* (weeks-1) | ||
| res= weeks* (low+ high)//2 | ||
| monday= weeks+1 | ||
| for iinrange(n%7): | ||
| res+= i+ monday | ||
| return res | ||
| ``` | ||
| ```java | ||
| publicclassSolution { | ||
| publicinttotalMoney(intn) { | ||
| int weeks= n/7; | ||
| int low=28; | ||
| int high=28+7* (weeks-1); | ||
| int res= weeks* (low+ high)/2; | ||
| int monday= weeks+1; | ||
| for (int i=0; i< n%7; i++) { | ||
| res+= i+ monday; | ||
| } | ||
| return res; | ||
| } | ||
| } | ||
| ``` | ||
| ```cpp | ||
| classSolution { | ||
| public: | ||
| int totalMoney(int n) { | ||
| int weeks = n / 7; | ||
| int low = 28; | ||
| int high = 28 + 7 * (weeks - 1); | ||
| int res = weeks * (low + high) / 2; | ||
| int monday = weeks + 1; | ||
| for (int i = 0; i < n % 7; i++) { | ||
| res += i + monday; | ||
| } | ||
| return res; | ||
| } | ||
| }; | ||
| ``` | ||
| ```javascript | ||
| classSolution { | ||
| /** | ||
| *@param{number}n | ||
| *@return{number} | ||
| */ | ||
| totalMoney(n) { | ||
| constweeks=Math.floor(n/7); | ||
| constlow=28; | ||
| consthigh=28+7* (weeks-1); | ||
| let res= weeks* (low+ high)/2; | ||
| constmonday= weeks+1; | ||
| for (let i=0; i< n%7; i++) { | ||
| res+= i+ monday; | ||
| } | ||
| return res; | ||
| } | ||
| } | ||
| ``` | ||
| ::tabs-end | ||
| ###Time & Space Complexity | ||
| * Time complexity: $O(1)$ | ||
| * Space complexity: $O(1)$ | ||
| --- | ||
| ##3. Math (Optimal) | ||
| ::tabs-start | ||
| ```python | ||
| classSolution: | ||
| deftotalMoney(self,n:int) ->int: | ||
| SUM=lambdax: (x* (x+1))>>1 | ||
| weeks= n//7 | ||
| res= SUM(weeks-1)*7+ weeks* SUM(7) | ||
| res+= SUM(n%7)+ weeks* (n%7) | ||
| return res | ||
| ``` | ||
| ```java | ||
| publicclassSolution { | ||
| publicinttotalMoney(intn) { | ||
| int weeks= n/7; | ||
| int res=SUM(weeks-1)*7+ weeks*SUM(7); | ||
| res+=SUM(n%7)+ weeks* (n%7); | ||
| return res; | ||
| } | ||
| privateintSUM(intn) { | ||
| return (n* (n+1))/2; | ||
| } | ||
| } | ||
| ``` | ||
| ```cpp | ||
| classSolution { | ||
| public: | ||
| int totalMoney(int n) { | ||
| auto SUM =[](int x) { return (x * (x + 1)) / 2; }; | ||
| int weeks = n / 7; | ||
| int res = SUM(weeks - 1) * 7 + weeks * SUM(7); | ||
| res += SUM(n % 7) + weeks * (n % 7); | ||
| return res; | ||
| } | ||
| }; | ||
| ``` | ||
| ```javascript | ||
| classSolution { | ||
| /** | ||
| *@param{number}n | ||
| *@return{number} | ||
| */ | ||
| totalMoney(n) { | ||
| constSUM=x=> (x* (x+1))/2; | ||
| constweeks=Math.floor(n/7); | ||
| let res=SUM(weeks-1)*7+ weeks*SUM(7); | ||
| res+=SUM(n%7)+ weeks* (n%7); | ||
| return res; | ||
| } | ||
| } | ||
| ``` | ||
| ::tabs-end | ||
| ###Time & Space Complexity | ||
| * Time complexity: $O(1)$ | ||
| * Space complexity: $O(1)$ |
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