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2004 MCM A：Are Fingerprints Unique?
It is a commonplace belief that the thumbprint of every human who has ever lived is different. De...
2007 ICM PROBLEM：Organ Transplant: The Kidney Exchange Problem
Transplant Network: Despite the continuing and dramatic advances in medicine and health technolog...
2010 MCM A：The Sweet Spot
Explain the "sweet spot" on a baseball bat. Every hitter knows that there is a spot on the fat p...
2009 ICM Problem：Creating Food Systems: Re-Balancing Human-Influenced Ecosystems
Background Less than 1% of the ocean floor is covered by coral. Yet, 25% of the ocean’s biodiver...
2009 MCM B：Energy and the Cell Phone
This question involves the “energy” consequences of the cell phone revolution. Cell phone usage i...
2009 MCM A：Designing a Traffic Circle
Many cities and communities have traffic circles—from large ones with many lanes in the circle (s...
2008 ICM Problem：Finding the Good in Health Care Systems
Nations have systems for providing health care for their residents. Issues that are often of conc...
2008 MCM B：Creating Sudoku Puzzles
Develop an algorithm to construct Sudoku puzzles of varying difficulty. Develop metrics to define...
2008 MCM A：Take a Bath
Consider the effects on land from the melting of the north polar ice cap due to the predicted inc...
2007 MCM B：The Airplane Seating Problem
Airlines are free to seat passengers waiting to board an aircraft in any order whatsoever. It has...
2004 MCM B：A Faster QuickPass System
"QuickPass" systems are increasingly appearing to reduce people's time waiting in line, whether i...
2007 MCM A：Gerrymandering
The United States Constitution provides that the House of Representatives shall be composed of so...
2006 ICM Problem：Trade-offs in the fight against HIV/AIDS
As the HIV/AIDS pandemic enters its 25th year, both the number of infections and number of deaths...
2006 MCM B：Wheel Chair Access at Airports
One of the frustrations with air travel is the need to fly through multiple airports, and each st...
2006 MCM A：Positioning and Moving Sprinkler Systems for Irrigation
There are a wide variety of techniques available for irrigating a field. The technologies range f...
2005 ICM Problem：Nonrenewable Resources
Select a vital nonrenewable or exhaustible resource (water, mineral, energy, food, etc.) for whic...
2005 MCM B：Tollbooths
Heavily-traveled toll roads such as the Garden State Parkway , Interstate 95, and so forth, are m...
2005 MCM A：Flood Planning
Lake Murray in central South Carolina is formed by a large earthen dam, which was completed in 19...
2004 ICM Problem：To Be Secure or Not to Be?
You probably know about computer hackers and computer viruses. Unless your computer has been targ...
2010 MCM B：Criminology
In 1981 Peter Sutcliffe was convicted of thirteen murders and subjecting a number of other people...