Added solution to problem 36

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2021-06-29 15:55:24 -04:00
parent 4ee0939c58
commit a4cc8a2d64
2 changed files with 83 additions and 1 deletions

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@@ -23,7 +23,6 @@ function [] = Problem35()
%Setup the variables
MAX_NUM = 999999;
%MAX_NUM = 100;
circularPrimes = [];
%Start the timer

83
Problem36.m Normal file
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@@ -0,0 +1,83 @@
function [] = Problem36()
%ProjectEuler/ProjectEulerOctave/Problem36.lua
%Matthew Ellison
% Created: 06-29-21
%Modified: 06-29-21
%Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.
%{
Copyright (C) 2021 Matthew Ellison
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
%}
%Setup the variables
MAX_NUM = 999999; %The largest number that will be checked
palindromes = []; %All numbers that are palindromes in base 10 and 2
sumOfPal = 0; %The sum of all elements in the list of palindromes
%Start the timer
startTime = clock();
%Start with 1, check if it is a palindrome in base 10 and 2, and continue to MAX_NUM
for num = 1 : MAX_NUM
%Check if num is a palindrome
if(isPalindrome(num2str(num)))
%Convert num to base 2 and see if that is a palindrome
binNum = toBin(num);
if(isPalindrome(binNum))
%Add num to the list of palindromes
palindromes(end + 1) = num;
end
end
end
%Get the sum of all palindromes in the list
sumOfPal = sum(palindromes);
%Stop the timer
endTime = clock();
%Print the results
printf("The sum of all base 10 and base 2 palindromic numbers < %d is %d\n", MAX_NUM, sumOfPal);
printf("It took %f seconds to run this algorithm\n", etime(endTime, startTime))
end
function [revStr] = reverse(str)
counter = size(str)(2); %Set the counter to the last element in string
%Loop until the counter reaches 0
while(counter > 0)
%Add the current element of string to rString
revStr(end + 1) = str(counter);
--counter;
end
end
function [isPal] = isPalindrome(str)
rev = reverse(str);
if(str == rev)
isPal = true;
else
isPal = false;
end
end
function [binStr] = toBin(num)
binStr = dec2bin(num);
end
%{
Results:
The sum of all base 10 and base 2 palindromic numbers < 999999 is 872187
It took 630.539528 seconds to run this algorithm
%}