MathDB

369

Part of 1957 Moscow Mathematical Olympiad

Problems(1)

MMO 369 Moscow MO 1957 1957 as sum of 12 pos. integer , min prod. a_i!

Source:

3/20/2021
Represent 19571957 as the sum of 1212 positive integer summands a1,a2,...,a12a_1, a_2, ... , a_{12} for which the number a1!⋅a2!⋅a3!⋅...⋅a12!a_1! \cdot a_2! \cdot a_3! \cdot ... \cdot a_{12}! is minimal.
combinatoricsfactorialminimummin