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do_count_same_digits( a6a5a4a3a2a1a0, b2b1b0 )
first: a6a5a4a3a2a1a0
second: b2b1b0
a0 == first % 10, and b0 = second % 10
a6a5a4a3a2a1 == first / 10, and b2b1 = second / 10
if( b0 == a0 )
count_same_digits = 1 + do_count_same_digits( a6a5a4a3a2a1, b2b1 )
else
count_same_digits = 0 + do_count_same_digits( a6a5a4a3a2a1, b2b1 )
ie. ( b0 == a0 ) + do_count_same_digits( a6a5a4a3a2a1, b2b1 )
or ( b0 == a0 ) + do_count_same_digits( first/10, second/10 )
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do_count_same_digits( a6a5a4a3a2a1, b2b1 )
first: a6a5a4a3a2a1
second: b2b1
a1 == first % 10, and b1 = second % 10
a6a5a4a3a2 == first / 10, and b2 = second / 10
if( b1 == a1 )
count_same_digits = 1 + do_count_same_digits( a6a5a4a3a2, b2 )
else
count_same_digits = 0 + do_count_same_digits( a6a5a4a3a2, b2 )
ie. ( b1 == a1 ) + do_count_same_digits( a6a5a4a3a2, b2 )
and so on till one of the numbers reaches zero
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Which gives us:
do_count_same_digits( a6a5a4a3a2a1a0, b2b1b0 )
== (a0 == b0 ) + ( a1 == b1 ) + do_count_same_digits( a6a5a4a3a2, b2 )
== (a0 == b0 ) + ( a1 == b1 ) + ( a2 == b2 ) + do_count_same_digits( a6a5a4a3, 0 )
== (a0 == b0 ) + ( a1 == b1 ) + ( a2 == b2 ) + 0
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