Question: Jack is always excited about sunday. It is favourite day, when he gets to play all day. And goes to cycling with his friends. So every time when the months starts he counts the number of sundays he will get to enjoy. Considering the month can start with any day, be it Sunday, Monday.... Or so on. Count the number of Sunday jack will get within n number of days. Example 1: Input mon-> input String denoting the start of the month. 13 -> input integer denoting the number of days from the start of the month. Output: 2 -> number of days within 13 days.
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- Suppose a person can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. A person can redeem 3 coupons for one chocolate bar from the machine. This means that once a person has started buying chocolate bars from the machine, he/she always has some coupons. A person would like to know how many chocolate bars can be bought, if a person starts with N dollars and always redeem coupons, if he/she has enough for an additional chocolate bar. For example: With 3 dollars a person could buy 4 chocolate bars after purchasing 3 bars giving him/her 3 coupons and then redeeming the 3 coupons for one bar. This would leave him/her with one extra coupon. Thus, will have 4 chocolate bars and still have one coupon leftover. For 11 dollars, a person can have 16 chocolate bars and still have one coupon leftover. For 12 dollars, a person can have 17 chocolate bars and have two coupons leftover. Write a complete Python program that prompts a buyer to input…Suppose we have a nice young couple who borrow $700000 from the bank, at an annual interest rate of3.124%. The mortgage is a 30 year loan, so they need to pay it off within 360 months total. Our happycouple decide to set their monthly mortgage payment at $2000 per month. Will they pay off the loan intime or not?Note that the monthly balance will be calculated asbalance = (im × previous balance) - monthly paymentwhere the convert annual interest to a monthly multiplier im is calculated as im = (1 +i)1/12 and i = annualinterest rate.Write a loop for track the total payment in 360 months so that we can evaluate if the couple can pay off theloan. Write in R Please and thank you.A proposition Q follows from a proposition P, if Q is never false when P is true. Suppose we want to check this in a particular case. Which of the following is correct? Select one: a. We need to check that whenever P is false, Q is also false. b. We need to check that whenever Q is false, P is also false. c. We need to check that whenever Q is true, P is also true. d. We need to check that Q is true when P is true, and that Q is false when P is false.
- Correct answer will be upvoted else downvoted. Computer science. Polycarp recalled the 2020-th year, and he is content with the appearance of the new 2021-th year. To recall such a great second, Polycarp needs to address the number n as the amount of a specific number of 2020 and a specific number of 2021. For instance, if: n=4041, then, at that point, the number n can be addressed as the total 2020+2021; n=4042, then, at that point, the number n can be addressed as the total 2021+2021; n=8081, then, at that point, the number n can be addressed as the total 2020+2020+2020+2021; n=8079, then, at that point, the number n can't be addressed as the amount of the numbers 2020 and 2021. Assist Polycarp with seeing if the number n can be addressed as the amount of a specific number of numbers 2020 and a specific number of numbers 2021. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow.…In practical life, the employees get salaries and pay taxes honestly. Sometimes, the process of drawing salariesand payment of taxes may lead to some interesting situation. Suppose, a person draws salary of Rs. 10,000 permonth. A certain percentage of tax is charged on that amount, which is deducted every month. But if the salaryof the person is more than Rs. 10,000 per month, then the tax rate is different. Similarly if a person is getting Rs.20,000 per month, he/she would be charged more under a different tax rate slab. The interesting situationdevelops if there is an anomaly in the tax rates i.e. a person who is getting higher salary takes home lesser moneyas compared to the other person with less gross salary.To further elaborate it, we suppose that there is company 'C' where 100 or less than 100persons are employed. The salaries of the employees and their tax rates are known to us.We are required to list those unlucky persons, who are getting lesser take-home salary(net salary)…Problem1Given a value `value`, if we want to make change for `value` cents, and we have infinitesupply of each of coins = {S1, S2, .. , Sm} valued `coins`, how many ways can we make the change?The order of `coins` doesn't matter.For example, for `value` = 4 and `coins` = [1, 2, 3], there are four solutions:[1, 1, 1, 1], [1, 1, 2], [2, 2], [1, 3].So output should be 4. For `value` = 10 and `coins` = [2, 5, 3, 6], there are five solutions: [2, 2, 2, 2, 2], [2, 2, 3, 3], [2, 2, 6], [2, 3, 5] and [5, 5].So the output should be 5. Time complexity: O(n * m) where n is the `value` and m is the number of `coins`Space complexity: O(n)""" def count(coins, value): """ Find number of combination of `coins` that adds upp to `value` Keyword arguments: coins -- int[] value -- int """ # initialize dp array and set base case as 1 dp_array = [1] + [0] * value.. (+.
- A safe is locked by a combination of of four binary digits (that is, 0 or 1), but theowner has forgotten the combination. The safe is designed in such a way that nomatter how many digits have been pressed, if the correct combination of three digitsis pressed at any point, then the safe automatically opens (there is no ”enter” key).Our goal is to find the minimum number of digits that one needs to key in in order toguarantee that the safe opens. In other words, we wish to find the smallest possiblelength of a binary sequence containing every four-digit sequence in it.(a) Create a digraph whose vertex set consists of three-digit binary sequences. Fromeach vertex labelled xyz, there is one outgoing edge (labelled 0) leading to vertexyz0, and another outgoing edge (labelled 1) leading to vertex yz1.(b) Explain why every edge represents a four digit sequence and why an Euleriantour of this graph represents the desired sequence of keystrokes.(c) Find the minimum number of digits that one…The world monarch in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one female or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which time they immediately stop? (Presume that all pregnancies have an equal chance of producing a male or a girl.) Write a computer simulation of this problem after you have rationally resolved it.The world queen in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one daughter or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which point they immediately stop? (Presume that all pregnancies have an equal chance of producing a boy or a girl.) Write a computer simulation of this problem when you have logically resolved it.
- Simulated annealing is an extension of hill climbing, which uses randomness to avoid getting stuck in local maxima and plateaux. a) As defined in your textbook, simulated annealing returns the current state when the end of the annealing schedule is reached and if the annealing schedule is slow enough. Given that we know the value (measure of goodness) of each state we visit, is there anything smarter we could do? (b) Simulated annealing requires a very small amount of memory, just enough to store two states: the current state and the proposed next state. Suppose we had enough memory to hold two million states. Propose a modification to simulated annealing that makes productive use of the additional memory. In particular, suggest something that will likely perform better than just running simulated annealing a million times consecutively with random restarts. [Note: There are multiple correct answers here.] (c) Gradient ascent search is prone to local optima just like hill climbing.…X-Kingdom has trapped n number of soldiers of their opponent. They want to execute them. They created a strategy so that the prisoners will kill each other and at the end one prisoner will be alive and eventually released. As part of the process, they assigned each trapped soldier a sequence number starting from 1 and ending at n. If n = 5 and k = 2, then the safe position is 3. Firstly, the person at position 2 is killed, then person at position 4 is killed, then person at position 1 is killed. Finally, the person at position 5 is killed. So, the person at position 3 survives. If n = 7 and k = 3, then the safe position is 4. The people at positions 3, 6, 2, 7, 5, 1 are killed in order, and the person at position 4 survives. Input:n and k Output:Print the list of prisoners in reverse order from n to 1Then reverse the list to print it in correct order from 1 to nDisplay the position number who will survive. You must have to use circular doubly linked list for your solution. You…X-Kingdom has trapped n number of soldiers of their opponent. They want to execute them. They created a strategy so that the prisoners will kill each other and at the end one prisoner will be alive and eventually released. As part of the process, they assigned each trapped soldier a sequence number starting from 1 and ending at n. If n = 5 and k = 2, then the safe position is 3. Firstly, the person at position 2 is killed, then person at position 4 is killed, then person at position 1 is killed. Finally, the person at position 5 is killed. So, the person at position 3 survives. If n = 7 and k = 3, then the safe position is 4. The people at positions 3, 6, 2, 7, 5, 1 are killed in order, and the person at position 4 survives. Input:n and k Output:Print the list of prisoners in reverse order from n to 1Then reverse the list to print it in correct order from 1 to nDisplay the position number who will survive. You must have to use circular doubly linked list for your solution.