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Median of Five Numbers

U have 5 NOs , X1,X2,X3,X4,X5

With minimum no. of comparisons we have to find a median.

SWAP(X,Y) function is available to u .

I have a answer of six comparisons and eight swaps....wait for people to find out by themselves.
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  1. AshuDecember 12, 2009 at 4:45 AM

    Courtesy orkut ....did not verified as could not get the logic completely.

    int median_of_5(int * x) {
    if ( x[0] < x[1] ) swap( &x[0], &x[1] ) ;
    if ( x[2] < x[3] ) swap( &x[2], &x[3] ) ;
    if ( x[0] < x[2] ) { swap( &x[0], &x[2] ) ; swap( &x[1], &x[3] ) ; }
    if ( x[1] < x[4] ) swap( &x[1], &x[4] ) ;
    if ( x[1] < x[2] ) { swap( &x[1], &x[2] ) ; swap( &x[3], &x[4] ) ; }
    if ( x[2] < x[4] ) swap( &x[2], &x[4] ) ;
    return (x[2]) ;
    }

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