[Python] How to plot data in straight line and in different line style depending on the data...

I have a unique data set (the number of rows and columns can vary case to case.)

0.0 0 0 0 0 0 0
0.5 0 0 0 0 0 0
2.0 156.626 156.626 138.354 138.354 138.354 138.354
2.5 156.626 156.626 138.354 138.354 138.354 138.354
4.0 287.268 287.268 289.808 289.808 271.829 276.304
4.5 287.268 287.268 289.808 289.808 271.829 276.304
6.0 418.931 426.263 418.933 426.259 273.572 273.559
6.5 418.931 426.263 418.933 426.259 273.572 273.559
8.0 417.211 417.21 417.207 417.211 417.207 417.212
8.5 417.211 417.21 417.207 417.211 417.207 417.212


As you see it have a unique combination of data set (constant and then change, constant and then change.) I want to plot the constant data set in the solid straight line without any dash-type and the data which is not in straight line will be in different dash-type. I need a script (either gnuplot or matplotlib) that can plot the data as per attached figure. In this figure I have shown only three lines, as an example.

I have created below gnuplot script that give me my required plot ( but it does not give me the horizontal lines, solid without any dash type.

CASE = "New.dat"
Xi=-2 ; Xf=22; Xs=1

AYf=500 ; AYs=100
reset
set terminal postscript eps enhanced size 20cm,20cm color solid lw 3 "Times-Bold" 40
set output "data.eps"
set multiplot \
layout 1,1 rowsfirst \
title "{/:Bold=40 }" \
margins screen 0.15,0.85,0.11,0.950 \
spacing screen 0.00,0.03

set key spacing 1.2
set mxtics 2
set mytics 2
unset key
unset arrow
set arrow from Xi ,0.00 to Xf,000 nohead lw 3.5 lc rgb "blue" lt 0
set xrange [Xi:Xf]
set yrange [-50:AYf]
set key at graph 0.63, 0.95 font "Times-bold, 30"
set xtics Xi,Xs,Xf format ""
set ytics 0,AYs,AYf format "%g" font "Times-bold, 40"

plot CASE u 1:2 title "Path-1" w l lc 1 lw 3 dashtype 2 , CASE u 1:3 title "Path-2" w l lc 2 lw 3 dashtype 3 , CASE u 1:4 title "Path-3" w l lc 4 lw 3 dashtype 4 , CASE u 1:5 title "Path-4" w l lc 6 lw 3 dashtype 5, CASE u 1:6 title "Path-5" w l lc 7 lw 3 dashtype 6 , CASE u 1:7 title "Path-6" w l lc 9 lw 3 dashtype 9


This is from theozh's script

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