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93539 is an example of a palindrome (If one reads it from left to right or right to left, it is the same). From, 100-1000, how many of these exist? [I Love Maths]

Please show your working. No cheating.
Gusman61-69, M
Lots....馃
Starting with 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 707, 717, 727, 737, 747, 757, 767, 777, 787, 797, 808, 818, 828, 838, 848, 858, 868, 878, 888, 898, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999
Is that right?
This message was deleted by its author.
Gusman61-69, M
@Riemann Okay, I get you now
So 89 palindromic numbers
Riemann31-35, M
@Gusman 90 fam
OldBrit61-69, M
Always been into palindromes... Goes back to first Z80 assembler program I wrote at college in 81 which was a palindrome analyser 馃ぃ馃ぃ馃ぃ

Will watch mathematic replies with interest
OldBrit61-69, M
So there's one per 10 ie 101 111 121 etc so 10 per hundred.

10x9 so 90?

Is it that simple?
Riemann31-35, M
@OldBrit Yes
Riemann31-35, M
Should've written, write in a paper.
DDonde31-35, M
for i is 100 to 1000
For each digit left of middle, push to stack
If it's odd length, ignore the middle digit
For every digit after middle, check to see if it matches the top of the stack and pop it if it does. If there is a mismatch, it's not a palindrome. Or if the stack is not empty at the end, it is not a palindrome.
If it the stack is empty by the end, add 1 to the count of palindromes.

Clear the stack. Next number.

 
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