100003 is nice looking, is easy to see that is close 10^5 and seems very
prime-ish with a quick glance. And primes are good for modular arithmetic.

Carlos Guía


On Tue, May 25, 2010 at 11:42 PM, Bharath Raghavendran <[email protected]
> wrote:

> why did google choose 100003 and not some nice looking number like 100000 ?
> :P
>
>
> On 26 May 2010 03:54, mtsay <[email protected]> wrote:
>
>> I have the same problem and I disagree with this comment. I am modding
>> all values by 100003, however, there was one multiplication at a point
>> in the code that I overlooked. Given x, y < 100003, the product x * y
>> could potentially reach 10 ^ 10 and exceed the 32-bit unsigned integer
>> limit, which is just above 4 * 10 ^ 9. Hence, casting to 64 bit
>> integer is necessary.
>>
>> On May 24, 7:51 am, Bharath Balakrishnan <[email protected]>
>> wrote:
>> > Your output was modulo 100003. A carefully coded program with mod (%) in
>> the
>> > right places would have worked with int itself. You don't need a long.
>> >
>> >
>> >
>> > On Sun, May 23, 2010 at 1:11 AM, bokertov <[email protected]> wrote:
>> > > I used "int" and it worked for the small case. But my output for the
>> > > large case was incorrect. Then I found out if I replace "int" by "long
>> > > long", then it's correct! I lost 30 points because of this stupid
>> > > mistake, man!
>> >
>> > > The reason is that 10^5*10^5 = 10^10, which is bigger than the upper
>> > > bound ~ 2*10^9 of int.
>> >
>> > > I'll surely learn this lesson, and will avoid it in the future.
>> >
>> > > --
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>> > --
>> > Regards,
>> > Bharath B
>> >
>> > "When the going gets tough, the tough get going"
>> >
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