3: Loops

Given n numbers. Output the largest number.

The number n factorial is the defined as the product of numbers from 1 to n. For example, 5! = 1*2*3*4*5. Given number n, calculate and output its factorial.

Fibonacci numbers are defined in the following way:
F₁ = 1; F₂ = 1; F_n = F_n-1 + F_n-2
Given n, write a program to find and output F_n.

Lottery tickets are numbered from 0000 to 9999. The ticket is ‘lucky’ if the sum of its first two digits is equal to the sum of its last two digits.
Write a program to calculate the total number of lucky tickets.

Lucky lottery ticket is defined in the previous task. Write a program to output the total number of lucky tickets that have even digits only.

There are two jars. The first jar is full of nuts, the second jar is empty. The following algorithm is used form moving the nuts from the first jar to the second:
1) If the number of the nuts in the first jar is even, half of the nuts is moved from the first to the second jar
2) If the number of the nuts in the first jar is odd, one nuts is moved from the first to the second jar
Given the number of nuts in the first jar. Write a program to simulate this algorithm and output the total number of moves required to move all the nuts from the first to the second jar.

Given a natural number n. Output the number of its odd and even digits.

Given two natural numbers n and k. Write a program to calculate the following sum:
1*k+2*k+3*k+…+n*k
Use a loop to solve this problem.

Given a natural number n. Write a program to calculate the following sum:
1*2+2*3*4+…+n*(n+1)*(n+2)*…*2n

Numbers are palindromes if they read the same backward and forward. For example, 12521 is a palindrome.
Given natural numbers m and n. Write a program to calculate the number of palindromes in the interval [m; n].

Given two natural numbers m and n. Write a program to find the smallest number from the interval [m; n] that has most divisors.

Take as input two numbers and a symbol. Output a grid made up of entirely of the chosen symbol, with the number of rows matching the first number input and the number of columns matching the second number input. (Worked example 11.09, p. 143)
For this task you will have to print in the same line. If you want NO new line AFTER printing something,
use print(rez, end='') instead of print(rez).