The code below is expected to count to 60 and then say time's up, why will it not perform as expected? counter = 1 limit = 60 while counter < limit:      print(counter)      counter = counter + 1 print ("Time's up")

Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…

Write code that iterates while userNum is less than 12. Each iteration: Put userNum to output. Then, put "/" to output. Then, assign userNum with userNum multiplied by 3.

What is the error(s) in this code? If num1 = num2: print ("They are equal) else print ("They are not equal")

plz solve it asap ????????: Write a program for a game that consists of two players. The rule of the game is that player 1 inputs a random number from 1-100. Player 2 will input 5 numbers. If the summation of those numbers is equal to the number OR less than or greater than the number by 3 (+3 or -3), then player 2 wins. Otherwise, player 1 wins. Test Case 1 Input Player 1, enter a number: 50 Player 2, enter a number: 10 Player 2, enter a number: 10 Player 2, enter a number: 20 Player 2, enter a number: 5 Player 2, enter a number: 7 Output Player 2 wins Explanation: The summation of 10,10,20,5 and 7 is 52 which is greater than 50 by 2. According to the rule, player 2 wins. Test Case 2 Input Player 1, enter a number: 50 Player 2, enter a number: 10 Player 2, enter a number: 10 Player 2, enter a number: 20 Player 2, enter a number: 5 Player 2, enter a number: 1 Output Player 1 wins Explanation: The summation of 10,10,20,5 and 1 is 46 which is less than 50 and also doesn’t…

Hi, please help with the following java for loop.   Rewrite the following for loop so that no variables are used.for (int roll = 1; roll <= ROLLS; rol += 1) {    int num1 = die1.roll();    int num2 = die2.roll();    if (num1 == 1 && num2 == 1) { // check for snake eyes        count += 1;    }}

Please find the running time of the program below. See attached photo for example.    int exam_1(int n) {    int i, j, k, sum = 0;    for(i=3; i<=n * 3; i+=3) {        for(j=1; j<=n; j++) {            for(k=2; k<=j; k* =2) {                sum = sum + k * i;                if(sum > j) {                    sum = sum + 1;                }            }        }    }}

while ( z >= 0 ) sum += z; identify the type of error in the above code with explanation

Coupon collector is a classic statistic problem with many practical applications. The problem is to pick objects from a set of objects repeatedly and determine how many picks are needed for all the objects to be picked at least once. A variation of the problem is to pick cards from a shuffled deck of 52 cards repeatedly and find out how many picks are needed before you see one of each suit. Assume a picked card is placed back in the deck before picking another. Write a program to simulate the number of picks needed to get four cards from each suit and display the four cards picked (it is possible that a card may be picked twice).

What is wrong in the following code?try:# Some code here...except ArithmeticError:print("ArithmeticError")except ZeroDivisionError:print("ZeroDivisionError")print("Continue")