"i was driving on the highway the other day recently and i happened to notice my odometer. like most odometers nowadays, it shows six digits, in whole miles only -- no tenths of a mile. so, if my car had 300,000 miles, for example, i'd see 3-0-0-0-0-0. and that's all. until i drove another mile, at which point it would read 3-0-0-0-0-1. ""now, what i saw that day was very interesting. i noticed that the last 4 digits were palindromic, that is they read the same forwards as backwards. for example, "5-4-4-5" is a palindrome. so, my odometer could have read 3-1-5-4-4-5, with those last four digits, starting with the units, then the tens, then the hundreds, and finally the thousands, being the palindrome. ""one mile later, the last 5 numbers were palindromic. for example, it could have read 3-6-5-4-5-6. ""one mile after that, the middle 4 out of 6 numbers were palindromic. so, the first and last numbers weren't involved in the palindrome, but the middle 4 were palindromic. ""and you ready for this? one mile later, all 6 were palindromic! for example, 2-1-3-3-1-2. ""i noticed that the last 4 digits were palindromic. i drove a mile, and the last 5 were palindromic. i drove another mile and the middle 4 were palindromic, and the ends were not involved. and then one mile later, all 6 digits were palindromic."the question is, what did the driver see on the odometer when they first looked? okay, so what do you have to do? your goal for this is to write a program in python that solves this puzzle. to do this you will use a loop that tries every number between 1 and until it finds one that meets all of the conditions. so really you just need to specify the conditions in the question as boolean expression, put them into a bunch of if statements, and then put all of that into a while loop.2.first see if you can design an algorithm that takes as input a 9 digit number where no digit appears twice and produces as output an arrangement of the same 9 digits corresponding to the next highest number. if no such number exists, the algorithm should indicate this. so for example if the input is 781623954 the output would be 781624359. you can use bulleted english to describe your algorithm