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#include <cstdio> |
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#include <cmath> |
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int tc, n; |
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bool isPrime(int x) |
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{ |
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if( x==2 ) return (true); |
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else if( !(x&1) ) return (false); |
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else |
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{ |
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int sqrtX = sqrt(x); |
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for(int i=3 ; i<=sqrtX ; i+=2) |
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if( !(x%i) ) return (false); |
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} |
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return (true); |
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} |
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int sumOfDigits(int x) |
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{ |
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int sum = 0; |
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while( x ) |
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{ |
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sum += x%10; |
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x /= 10; |
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} |
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return (sum); |
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} |
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int sumOfPrimeFactors(int x) |
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{ |
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int sum = 0; |
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while( !(x&1) ) |
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{ |
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sum += 2; |
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x /= 2; |
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} |
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int i = 3, sqrtX = sqrt(x); |
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while( i<=sqrtX ) |
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if( !(x%i) ) |
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{ |
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sum += sumOfDigits(i); |
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x /= i; |
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} |
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else i+=2; |
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if( x>1 ) sum += sumOfDigits(x); |
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return (sum); |
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} |
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bool smithNumber(int x) |
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{ |
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if( !isPrime(x) ) |
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{ |
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int sum1 = sumOfDigits(x), sum2 = sumOfPrimeFactors(x); |
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if( sum1==sum2 ) return (true); |
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else return (false); |
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} |
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return (false); |
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} |
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int main() |
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{ |
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scanf("%d", &tc); |
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while( tc-- ) |
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{ |
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scanf("%d", &n); |
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while( !smithNumber(++n) ) ; |
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printf("%d\n", n); |
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} |
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return 0; |
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} |
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