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pete-9.c is the last of nine entries an anonymous "Pete" submitted to Bignum Bakeoff.[1] It only slightly differs from its predecessor pete-8.c which was a failed attempt at improving upon Pete's largest entry, pete-7.c. Both pete-9.c and pete-8.c produce a much smaller number than pete-7.c because the f(n) function Pete defines in these programs has a bug which causes it to merely square a previously defined number. The only difference between the output of pete-9.c and pete-8.c is that pete-9.c uses 99 at one point instead of 999.

The output of pete-9.c can be precisely expressed as \(z^{16\cdot17^6}(99)\), where \(z(n) = 9\cdot 2^n\).

Approximations in other notations Edit

Notation Approximation
Up-arrow notation \(2 \uparrow\uparrow 386,201,107\)
Hyper-E notation \(E1\#386,201,107\)
Chained arrow notation \(2 \rightarrow 386,201,107 \rightarrow 2\)
Hyperfactorial array notation \(386,201,107!1\)
Fast-growing hierarchy \(f_3(386201107)\)
Hardy hierarchy \(H_{\omega^3}(386201107)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(386201107)\)

Code Edit

#define Z (9<<(9<<
#define Y Z Z Z Z Z Z Z Z
#define W ))))))))))))))))

#define Q Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y
#define O W W W W W W W W W W W W W W W W W

#define P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q
#define M O O O O O O O O O O O O O O O O O

#define L P P P P P P P P P P P P P P P P P
#define K M M M M M M M M M M M M M M M M M

#define H L L L L L L L L L L L L L L L L L
#define J K K K K K K K K K K K K K K K K K

#define A H H H H H H H H H H H H H H H H H
#define D J J J J J J J J J J J J J J J J J

#define X A A A A A A A A A A A A A A A A A 99\
          D D D D D D D D D D D D D D D D D

int B = X;

f(int* a)
{
    int C = B, b[X], n = X;
    
    while(n--)
        b[n] = a[n];
    if(b[n = X - 1]--)
        while(C--)
            B = f(b);
    while(n && !(b[n] = B, b[--n]--))
        ;
    return n ? f(b) : B * B;
}

main()
{
    int a[X] = {X};
    
    return f(a);
}

Sources Edit

  1. http://djm.cc/bignum-results.txt

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