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A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot.

Which of the following is the steepest path leaving from $P$?

1. $\text{P to Q}$
2. $\text{P to R}$
3. $\text{P to S}$
4. $\text{P to T}$