python - Find top 10 values above Y threshold and spread across X -


quick question

i have series of data points defined in 2 lists x , y. i'm looking efficient algorithm select (let's say) 10 values x , y not above particular value of y (a threshold), spread across values of x as possible. 'spread', mean maximising delta between x adjacent points.

for example:

if y threshold = 100 , x range = 1-10, ideal set of values be.

[1,104] [2.5,120] [3,101] [4.7,150] [5.2,190] [6.3,115] etc

a non-ideal set be:

[1,104] [1.3,157] [1.6,174] [1.5,120] [1.17,135] etc

any thoughts appreciated

first extract data points such y > threshold.

then sort on increasing x. xmin , xmax , compute 8 additional values of x equally spaced in range, form increasing list z (the "ideal" values).

now scan both lists in parallel, in merge operation. every time move in z list, keep corresponding x element.

caution: process can fail if algorithm finds same x corresponding 2 different z's. fixing isn't obvious.


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