# Use Nested Loops Find Three Digit Armstrong Numbers Armstrong Numbers Three Digit Numbers Q11259807

a. Use nested for loops to find all the three-digit Armstrongnumbers. Armstrong numbers are three digit numbers such that thesum of the digits cubed is equal to the number itself. For example,153 is an Armstrong number because 1³ + 5³ + 3³ = 153 However, 294is not, because 2³ + 9³ + 4³ = 801 (not 294) b. Use nested forloops to find four positive integers whose sum is 45, and such thatthe first plus 2, the second minus 2, the third multiplied by 2,and the fourth divided by 2 are all equal. Please note that thesefour numbers are integers, and not necessarily just digits. In thisproblem, we are no longer finding a single four-digit number; weare finding four separate numbers. However, since we are trying togenerate all possible combinations, the procedure should be thesame. For those of you having trouble with the English on this one(I’ve noticed that students really don’t like word problems),here’s what that means. The output of your program should be fournumbers. They won’t be negative numbers. When you add the fournumbers, they add up to 45. If you add 2 to the first number, youget the same answer as if you had subtracted 2 from the secondnumber. If you multiply the third number by two, you also get thesame answer. If you divide the fourth number by two, you also getthe same answer. The following mathematical statments are also trueabout these numbers: A + 2 = B – 2 = C × 2 = D ÷ 2 and A + B + C +D = 45

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