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Mathematics 14 Online
OpenStudy (experimentx):

What's this supposed to mean We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital. The product 7254 is unusual, as the identity, 39x186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital. Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital. HINT: Some products can be obtained in more than one way so be sure to only include it once in your sum.

OpenStudy (experimentx):

the list seems to be 12 483 5796 18 297 5346 42 138 5796 27 198 5346 28 157 4396 39 186 7254 48 159 7632 2 1793 3586 2 4178 8356 2 4358 8716 2 3459 6918 2 3479 6958 2 4659 9318 2 4569 9138 2 4769 9538 2 4679 9358 3 1942 5826 3 2615 7845 3 1625 4875 3 2915 8745 3 2618 7854 3 2918 8754 3 1928 5784 3 1594 4782 4 1732 6928 4 1593 6372 4 1963 7852 4 1738 6952 4 1958 7832 4 2379 9516 6 1432 8592 6 1572 9432 6 1573 9438 7 1235 8645 7 1364 9548

OpenStudy (experimentx):

the sum of unique product seems to be 247882

OpenStudy (experimentx):

am i missing something?

OpenStudy (cwrw238):

well there are no examples where multiplier is 8 or 9

OpenStudy (experimentx):

I tried all ... couldn't find one.

OpenStudy (experimentx):

What's this supposed to mean "Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigita"

OpenStudy (anonymous):

was the list already provided?

OpenStudy (anonymous):

I think it means to add 5796+5346+5796+...

OpenStudy (anonymous):

And I dont think all the listed numbers are correct

OpenStudy (experimentx):

the list was not provided. I wrote a program to compute the list.

OpenStudy (experimentx):

i added up unique values 5796+5346+5796+... = 247882

OpenStudy (experimentx):

http://projecteuler.net/problem=32

OpenStudy (anonymous):

if the list was already provided, then all you need to you to need first find those number whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigita. For example 12*483=5796 is a 1 through 9 pandigita (because you can find all digit 1 to 9 in that). But another entry in the list 2*1793=3586 is not a 1 through 9 pandigita (there is no 4). So filter out the 1 through 9 pandigita first. And then sum them up.

OpenStudy (anonymous):

oh i see. but the list isn't correct. there are entries which can't be called a 1 through 9 pandigita - i think!

OpenStudy (experimentx):

*pandigital looks like it i didn't check it manually.

OpenStudy (experimentx):

looks like in need to edit my program.

OpenStudy (anonymous):

oh right! "pandigital"...i copied the word! =)

OpenStudy (anonymous):

yes, you do!

OpenStudy (experimentx):

this looks final 12 483 5796 18 297 5346 42 138 5796 27 198 5346 28 157 4396 39 186 7254 48 159 7632 4 1963 7852 4 1738 6952 -------------------------- sum = 45228

OpenStudy (experimentx):

Bingo!! help each other's with medals!!

OpenStudy (anonymous):

lol! finally!! yeah, that seems right!

OpenStudy (anonymous):

@experimentX u use which programming language to write progrmas

OpenStudy (experimentx):

nowdays i'm using matlab + mathematica ... I'm planning to learn python. besides that i know bunch of other languges.

OpenStudy (experimentx):

better learn python ... it's serves multipurpose.

OpenStudy (anonymous):

Oh ya......... I have seen my friends writting program using python.... That looks good.

OpenStudy (experimentx):

once you learn one language ... rest of language have similar structure.

OpenStudy (anonymous):

Well i know as u know Q-basic that we learn at school...... and can also use Visual Basic....... But python looks very different.

OpenStudy (experimentx):

once you get your hands on it ... probably programming python is lot faster than those in Basic or VB

OpenStudy (anonymous):

Well thanx I will try it.

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