Coins

It is possible to reach every value from 1 to 50 (both inclusive) using at most two of the coins used in a country. What is the possible minimum value of the sum of all coins in this country?

If the same question was asked for values from 1 to 8, the answer would be 8 (1+3+4)

{1}, {1+1}, {3}, {4}, {1+4}, {3+3}, {3+4}, {4+4}

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