2023年12月10日发(作者：09江苏高考数学试卷)

2008 MCM Problems

PROBLEM A: Take a Bath

Consider the effects on land from the melting of the north polar ice cap due to the predicted

increase in global temperatures. Specifically, model the effects on the coast of Florida every ten

years for the next 50 years due to the melting, with particular attention given to large

metropolitan areas. Propose appropriate responses to deal with this. A careful discussion of the

data used is an important part of the answer.

PROBLEM B: Creating Sudoku Puzzles

Develop an algorithm to construct Sudoku puzzles of varying difficulty. Develop metrics to

define a difficulty level. The algorithm and metrics should be extensible to a varying number of

difficulty levels. You should illustrate the algorithm with at least 4 difficulty levels. Your

algorithm should guarantee a unique solution. Analyze the complexity of your algorithm. Your

objective should be to minimize the complexity of the algorithm and meet the above

requirements.


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