Given $M = [0,4,8,15]$ as points on a real line place 2 points $C_1$, $C_2$ on the line according to the following conditions

Both $C_1$ and $C_2$ cannot be placed at 0 or 15.

Distance between $C_1$ and $C_2$ should be $\leq$ $7$

Distance between first point in M (that is 0) and $C_1$ should be $\leq$ $7$

Distance between last point in M( that is 15) and $C_2$ should be $\leq$ $7$

The objective is to place points $C_1$ , $C_2$ in such a way that maximum number of points of $C_1$ , $C_2$ (which is 0 or 1 or 2) coincide with points in $M$

Solution : $C_1$ can be placed at $4$ and $C_2$ can be placed at $8$ so that maximum number of points i,e.,2 are placed so that they coincide with $M$ points and they satisfy all the conditions

  • 1
    $\begingroup$ There is already an answer in your question. $\endgroup$
    – Nathaniel
    Nov 18 at 22:08
  • $\begingroup$ I know but, could you provide the Python code that arrives at this solution? $\endgroup$ Nov 19 at 0:49
  • 1
    $\begingroup$ Have a (another) look at the info for tag python. $\endgroup$
    – greybeard
    Nov 19 at 8:36
  • 1
    $\begingroup$ An an exception, here is some python code that provides the solution print("C1 = 4; C2=8.") $\endgroup$
    – Steven
    Nov 19 at 9:13


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