Question: Suppose the running times of an algorithm for inputs of size (1,000,2,000), 3,000, and 4,000 are 5 seconds, 20 seconds, 45 seconds, and 80 seconds,

Suppose the running times of an algorithm for inputs of size $1,000,2,000$, 3,000, and 4,000 are 5 seconds, 20 seconds, 45 seconds, and 80 seconds, respectively. Estimate how long it will take to solve a problem of size 5,000. Is the algorithm linear, linearithmic, quadratic, cubic, or exponential?

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