[a] Prove by strong induction that any postage ≥ 18 can be formed using only 4-cent and 7-cent stamps. (Hint: consider bases cases for 18 thru 21.) [b] Write a Java/Python-like pseudocode for a function that determines the number of each denomination of stamp for a postage amount ≥ 18. (It need not be con

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Problem 6: Induction and Recursion

Consider a postal system for which the minimum postage required for any service (e.g. mailing a postcard) is 18 cents.

[a] Prove by strong induction that any postage ≥ 18 can be formed using only 4-cent and 7-cent stamps. (Hint: consider bases cases for 18 thru 21.)

[b] Write a Java/Python-like pseudocode for a function that determines the number of each denomination of stamp for a postage amount ≥ 18. (It need not be concerned with lesser cases as they are never used).

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