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# 2008 Contest

A total of 1162 teams registered for the 2008 Mathematical Contest in Modeling (MCM). Each team had to chose one of three problems (Problem A, B, or C) which they would attempt to solve during the second weekend of February. Teams from all over the world competed in this contest.

Each year, COMAP designates the top 1 - 2% of all papers as Outstanding Winner, the next 15% or so are designated Meritorious Winner and the remainder of the top 50% are designated Honorable Mention. Those teams that survived the weekend with a viable product comprise the next 50% - Successful Participant. All of the competing teams are to be congratulated for their excellent work and enthusiasm for scientific and mathematical modeling and interdisciplinary problem solving.

Problems A and B constitute the MCM (Mathematical Contest in Modeling) and Problem C constitutes the Interdisciplinary Contest in Modeling (ICM). Note that the results below are only for the MCM.

## Team Beta - Honorable Mention

### Problem B

- Andrew R. Grzankowski,
*Senior Mathematics and Physics Double Major* - Zack Johnson,
*Senior Mathematics Major, Computer Science Minor* - Michael Souza,
*Junior Computer Science Major, Mathematics Minor*

## Team Zeta - Successful Participant

### Problem A

- Louis Franzel,
*Junior Mathematics and Physics Double Major* - Tyler C. Newell,
*Junior Mathematics and Computer Science Double Major* - Benjamin C. Ryan,
*Freshman Physics (Pre-Engineering)*

## Advisor

- Dr. M. Leigh Lunsford

## Special Thanks

- Dr. Phillip Poplin for help with some of the training of the teams and making pizza night a tradition
- Contributors to the COMAP Feeding Fund
- The LU Psychology Department for use of their lounge
- The LU Library for use of the rolling whiteboard
- The LU IT folks for getting the teams weekend access to Ruffner and the computer lab in Ruffner

## The 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.

### PROBLEM C: Finding the Good in Health Care Systems

Finding the Good in Health Care Systems (pdf)

## Virginia Schools

- James Madison University, Harrisonburg, Hasan N Hamdan, Problem C, Meritorious
- James Madison University, Harrisonburg, David B Walton, Problem B, Meritorious
- University of Virginia, Charlottesville, Tai Melcher, Problem B, Honorable Mention
- Virginia Commonwealth University, Richmond, Dianne TV Pawluk, Problem C, Honorable Mention
- Longwood University, Farmville, M Leigh Lunsford, Problem B, Honorable Mention
- Mills E. Godwin High School, Richmond, Ann W Sebrell, Problem B, Honorable Mention
- University of Richmond, Richmond, Kathy W Hoke, Problem B, Honorable Mention
- Virginia Tech, Blacksburg, Henning S Mortveit, Problem B, Honorable Mention
- University of Virginia, Charlottesville, Irina Mitrea, Problem B, Honorable Mention
- Maggie Walker Governor's School, Richmond, John Barnes, Problem B, Honorable Mention
- Longwood University, Farmville, M Leigh Lunsford, Problem A, Successful Participant
- Roanoke College, Salem, David G Taylor, Problem A, Successful Participant
- Mills E. Godwin High School, Richmond, Ann W Sebrell, Problem B, Successful Participant
- James Madison University, Harrisonburg, Ling Xu, Problem A, Successful Participant
- Virginia Western, Roanoke, Steve T Hammer, Problem A, Successful Participant

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## Overall Results

A total of 1162 teams registered for the 2008 Mathematical Contest in Modeling (MCM). Each team had to chose one of three problems (Problem A, B, or C) which they would attempt to solve during the second weekend of February. Teams from all over the world competed in this contest.

Each year, COMAP designates:

- the top 1 - 2% of all papers as Outstanding Winner
- the next 15% or so are designated Meritorious Winner
- the remainder of the top 50% are designated Honorable Mention
- those teams that survived the weekend with a viable product comprise the next 50% - Successful Participant

All of the competing teams are to be congratulated for their excellent work and enthusiasm for scientific and mathematical modeling and interdisciplinary problem solving.

Problems A and B constitute the MCM (Mathematical Contest in Modeling) and Problem C constitutes the Interdisciplinary Contest in Modeling (ICM). Note that the results below are only for the MCM.

Classification | MCM (Problems A and B) |
---|---|

Total Number of Participating Teams | 1162 |

High School Teams | 14 (1%) |

United States Teams | 276 (24%) |

Foreign Teams from Australia, Canada, China, Finland, Germany, Indonesia, Ireland, Jamaica, Mexico, Korea, Singapore, South Africa, and the United Kingdom | 886 (70%) |

Outstanding Winners | 9 (1%) |

Meritorious Winners | 161 (13%) |

Honorable Mentions | 478 (41%) |

Successful Participants | 512 (44%) |

Unsuccessful Participants | 2 (1%) |