Idea from doing some problems on brilliant.org

Computer Science Level 4

Look at this Pascal ( pseudocode ) program 

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    //This is a Pascal Pseudocode
    for i := 2 to 1000 do
    begin
        sum := 0;
        str(i,s);
        for j := 1 to length(s) do
        begin
            val(s[j],temp);
            inc(sum,temp*temp*temp)
        end;
        val(s,temp);
        if (sum = temp) then
            writeln(temp)
    end;

Above is a Pseudocode of a program.
What is the sum of all the output of the temp variable ?


The answer is 1301.

Jansen Wu by Jansen Wu , 22, Indonesia

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1 solution

Jansen Wu
Mar 19, 2015

Actually, you will get Narcissistic Numbers sequence with range [2,1000] .
So this is all the Narcisstic Numbers :

153 = 1 3 + 5 3 + 3 3 153 = 1^{3} + 5^{3} + 3^{3} 370 = 3 3 + 7 3 + 0 3 370 = 3^{3} + 7^{3} + 0^{3} 371 = 3 3 + 7 3 + 1 3 371 = 3^{3} + 7^{3} + 1^{3} 407 = 4 3 + 0 3 + 7 3 407 = 4^{3} + 0^{3} + 7^{3}

So the sum of all the output is 153 + 370 + 371 + 407 = 1301 153 + 370 + 371 + 407 = 1301 Hence, the result is 1301

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