Armstrong numbers are the sum of their own digits to the power of the number of digits. Here are all the possible Armstrong Numbers up to six digits:
1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 8208, 9474, 54748, 92727, 93084, 548834
EXAMPLE: 153 = 13 + 53 + 33
Sometimes, the simple solutions are better than complicated elegant solutions. Just compare your number to the list. If your number is on the list, it is an Armstrong Number.
Designing a spreadsheet formula to compare all numbers 1-6 digits to determine if they are one of twenty possible numbers does not make sence. However, in the spirit of education (even though using this solution does not pass the common sense test), here are two methods you can use to solve this problem.
SOLUTION #1 (easy): Compare against a look-up table.
=IF(ISERROR(VLOOKUP(A1,C1:C20,1,FALSE)),"No","Yes")
SOLUTION #2 (difficult): Brute force calculation.
=IF(LEN(F1)=6,IF(MID(F1,1,1)^6+MID(F1,2,1)^6+MID(F1,3,1)^6+MID(F1,4,1)^6+MID(F1,5,1)^6+MID(F1,6,1)^6=F1,"Yes","No"),"Not 6 places")
Here is an example for 6-digit numbers (use the same procedure for other size numbers or write a macro that will count the characters and loop through as many times as necessary):
=IF(LEN(F1)=6,IF(MID(F1,1,1)^6+MID(F1,2,1)^6+MID(F1,3,1)^6+MID(F1,4,1)^6+MID(F1,5,1)^6+MID(F1,6,1)^6=F1,"Yes","No"),"Not 6 places")
please give me an algorithm and a corresponding flow chart that displays list of numbers from 1 to 20.
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FromCommand Mode :set nu Display line numbers
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start, inputbox,inputbox,inputbox,inputbox,inputbox,progresh,display,stop
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