Given an array A[1..n] representing a sequence of n integers, a subsequence is a subset of elements of A, in the same order as they appear in A. A subsequence is monotonic if it is a sequence of strictly increasing numbers. Define LMS(i) to be the length of a longest monotonically increasing subsequence of A[1..i] that must have A[i] as its last element. Write a recurrence for LMS(i) and convert into a dynamic program that calculates LMS(i) for i=1..n. What is the running time of your algorithm? {For example if A = [8 9 12 10 11] then LMS = 4 which is [8, 9, 10, 11] Another example if A = [10 22 9 33 21 50 41 60 80] then LMS = 6, there are 2 solutions here [10 22 33 50 60 80] or [10 23 33 41 60 80]. You don’t have to output the sequence juts its length. }

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Writing a modular program in visual c++. i am new to this and not sure what i am missing. i am getting the following error: baddate. cpp: in function ‘int main()’: baddate. cpp: 50: 3: error: ‘else’ without a previous ‘if’elsehere are the instructions and code: writing a modular program in c++in this lab, you add the input and output statements to a partially completed c++ program. when completed, the user should be able to enter a year, a month, and a day. the program then determines if the date is valid. valid years are those that are greater than 0, valid months include the values 1 through 12, and valid days include the values 1 through 31.notice that variables have been declared for you. write the simulated housekeeping() function that contains the prompts and input statements to retrieve a year, a month, and a day from the user. include the output statements in the simulated endofjob() function. the format of the output is as follows: month/day/year is a valid date. ormonth/day/year is an invalid date. execute the program entering the following date: month = 5, day = 32, year = 2014. record the output of this program. execute the program entering the following date: month = 9, day = 21, year = 2002. record the output of this /* program name: baddate. cppfunction: this program determines if a date entered by the user is valid. input: interactiveoutput: valid date is printed or user is alerted that an invalid date was entered*/#include bool validatedate(int, int, int); using namespace std; int main(){// declare variablesint year; int month; int day; const int min_year = 0, min_month = 1, max_month = 12, min_day = 1, max_day = 31; bool validdate = true; // this is the work of the housekeeping() method// get the year, then the month, then the daycout< < "enter the year"< > year; cout< < "enter the month"< > month; cout< < "enter the day"< > day; // this is the work of the detailloop() method// check to be sure date is validif(year < = min_year) // invalid yearvaliddate = false; else if (month < min_month || month > max_month) // invalid monthvaliddate = false; else if (day < min_day || day > max_day) // invalid dayvaliddate = false; // this is the work of the endofjob() method// test to see if date is valid and output date and whether it is valid or notif(validdate == true); {// output statementcout<

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