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set xrange [0:1.123457]
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set yrange [0:1.061728]
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set label "(1,6)" at 0.3312946,0.1108846
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set label "(1,7)" at 0.2208631,0.1109601
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set label "(2,4)" at 0.5423261,0.2192824
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set label "(2,6)" at 0.3253957,0.2204583
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set label "(3,7)" at 0.2108185,0.3295321
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set label "(3,8)" at 0.1054093,0.3314327
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set label "(4,2)" at 0.7107423,0.4146509
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set label "(4,3)" at 0.6092077,0.4189071
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set label "(4,4)" at 0.5076731,0.4231633
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set label "(4,5)" at 0.4061385,0.4274196
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set label "(4,6)" at 0.3046038,0.4316758
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bdry(x) = (x > 1./sqrt(2.)) ? (cy + sqrt(r**2-(x-cx)**2)) : (1 + ((1. - sqrt(2.))*x))