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Problem A. Amphitheatre
Problem A. Amphitheatre

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Some Functions Computable with a Fused-mac

... NaNs, and correctly signal underflows, however, it does not work correctly if x is a subnormal number: that (rare) case should be handled separately. If we use rounding to nearest, then a fused-mac instruction looks mandatory for designing such algorithms (at least, they cannot be implemented using o ...
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... of cubes, where each cube can hold at most one planetoid. Each planetoid has an initial mass m, an initial location (x, y, z) in the grid and a velocity (vx , vy , vz ) indicating the number of cubes per second the planetoid travels through in each dimension. For example, if a planetoid is initially ...
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< 1 ... 5 6 7 8 9 10 11 12 13 ... 36 >

Halting problem

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the program will finish running or continue to run forever.Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist. A key part of the proof was a mathematical definition of a computer and program, which became known as a Turing machine; the halting problem is undecidable over Turing machines. It is one of the first examples of a decision problem.Jack Copeland (2004) attributes the term halting problem to Martin Davis.
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