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Demo TB | Demo NT #4

Koliko savršenih kvadrata dijeli umnožak 1!\cdot 2!\cdot 3!\cdot 4!\cdot 5!\cdot 6!\cdot 7!\cdot 8! ?
How many perfect squares are divisors of the product 1!\cdot 2!\cdot 3!\cdot 4!\cdot 5!\cdot 6!\cdot 7!\cdot 8! ?