Skip to main content

Problem 16: projecteuler.net: Matlab: Power digit sum

Problem

215 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26.
What is the sum of the digits of the number 21000? Solve this problem using Matlab?

Solution

This problem is very simple. I suggest you first go through the program and if you cannot understand any part then please go through the explanation section and if you still cannot understand then once go through the links below:

Program

tic;
y = sym(2^1000);

y = char(y);

sum = 0;

for i = 1:length(y)
    sum = sum+str2num(y(i));
end

disp(sum);
toc;

You can download the above program from here: problem_16.m

Explanation

First I have converted the value of 2100 as a sym using the symbolic toolbox, because if I log the value, then the value of the output is rounded off and an approximate value is given and not a exact value. Next I have converted the value of y to a character using char function, finally I have looped through each letter of y and then converted that letter to a number added it to the sum. Finally after the looping is over then I have displayed the value of the sum. That's all the program is over and you get the output. I think this program is very simple and so I have written a small explanation. If you are not satisfied with the explanation of the program then please let me know by contacting me from here: contact me

Note that I have used tic toe to count the amount of time taken for the execution of the program.

Comment the answer you get from running this program in the comment box below. Also please contact me if you have any doubt or didn't understand anything or any part contact me from here: contact me

The above program has been high lighted using hilite.me

The above problem has been taken from projecteuler.net from here: problem 16

References

char - Convert symbolic objects to strings 
Matlab - Symbolic Math
Symbolic Math toolbox Documentation

Keywords:Projecteuler.net, problem 16, power digit sum, for loop in matlab
Labels:

Popular posts from this blog

Project Euler Problem 67 Solution with Python

Maximum path sum II By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23. 3 7 4 2 4 6 8 5 9 3 That is, 3 + 7 + 4 + 9 = 23. Find the maximum total from top to bottom in triangle.txt (right click and 'Save Link/Target As...'), a 15K text file containing a triangle with one-hundred rows.
Read more

Problem 43 Project Euler Solution with python

Sub-string divisibility The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property. Let d 1 be the 1 st digit, d 2 be the 2 nd digit, and so on. In this way, we note the following: d 2 d 3 d 4 =406 is divisible by 2 d 3 d 4 d 5 =063 is divisible by 3 d 4 d 5 d 6 =635 is divisible by 5 d 5 d 6 d 7 =357 is divisible by 7 d 6 d 7 d 8 =572 is divisible by 11 d 7 d 8 d 9 =728 is divisible by 13 d 8 d 9 d 10 =289 is divisible by 17 Find the sum of all 0 to 9 pandigital numbers with this property. One might write a simple solution using direct if else statements for this problem. Using if else statements, the execution time may be a few seconds. But this is not a very good approach. I too had written a program with if else statement which will take each and every permutation of the 0-9 Pandigital and check for the conditions given in the qu...
Read more

Add/Embed SVG to Blogger website

In this post I will tell you my method(trick) of adding SVG images in a blogger website or blog. Before starting , the first thin g I am assu m ing is that you are aware of SVG if you are here. If not please see S calable V ec tor G raphics Recently when I tried to embed a SVG image for a post on pygal, I tried uploading the SVG file and blogger Image uploader came up with an error, because of which I had to find some other way.  SVG File upload Error in Blogger  I started sea rc hing Google " Embed SVG in Blogger " . I found blogorrhea , w h ich gave some i nformatio n on add ing SVG directly as a markup , which worked , but I faced another problem using this . Also th is guy has used lot of Javascript which was confusin g for me, being new to using SVG.   So I first t houg ht of learning on h ow to embed SVG in HTML and t his on e worked out. Actually we can embed SVG in HTML i n following ways: Using Object tag Using Iframe tag Using embed...
Read more