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A trivial example. In mathematics, the mountain climbing problem is a mathematical problem that considers a two-dimensional mountain range (represented as a continuous function), and asks whether it is possible for two mountain climbers starting at sea level on the left and right sides of the mountain to meet at the summit, while maintaining equal altitudes at all times.
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An unclimbed mountain is a mountain peak that has not been climbed to the top. Determining which unclimbed peak is highest is often a matter of controversy. In some parts of the world, surveying and mapping are still unreliable. There are no comprehensive records of the routes of explorers, mountaineers, and local inhabitants.
For example, hill climbing can be applied to the travelling salesman problem. It is easy to find an initial solution that visits all the cities but will likely be very poor compared to the optimal solution. The algorithm starts with such a solution and makes small improvements to it, such as switching the order in which two cities are visited.
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The column "Col height" denotes the lowest elevation to which one must descend from a peak in order to reach peaks with higher elevations; note that the elevation of any peak is the sum of its prominence and col. The column "Col location" denotes the pass where the col height is located.
Denali in Alaska is the highest mountain peak of North America. Denali is the third most topographically prominent and third most topographically isolated summit on Earth after Mount Everest and Aconcagua. This article comprises three sortable tables of major mountain peaks [1] of greater North America. [2]
Pikes Peak is the highest summit of the southern Front Range of the Rocky Mountains in North America.The ultra-prominent 14,107-foot (4,299.83 m) fourteener is located in Pike National Forest, 12 miles (19 km) west of downtown Colorado Springs, Colorado.