image
imagewidth (px)
10
654
id_str
stringlengths
64
64
dataset_name
stringclasses
1 value
smooth-or-featured-euclid_smooth
int32
0
18
smooth-or-featured-euclid_smooth_fraction
float32
0
1
smooth-or-featured-euclid_total-votes
int32
5
19
smooth-or-featured-euclid_featured-or-disk
int32
0
19
smooth-or-featured-euclid_featured-or-disk_fraction
float32
0
1
smooth-or-featured-euclid_problem
int32
0
18
smooth-or-featured-euclid_problem_fraction
float32
0
1
disk-edge-on-euclid_yes
int32
0
15
disk-edge-on-euclid_yes_fraction
float32
0
1
disk-edge-on-euclid_total-votes
int32
0
19
disk-edge-on-euclid_no
int32
0
18
disk-edge-on-euclid_no_fraction
float32
0
1
has-spiral-arms-euclid_yes
int32
0
18
has-spiral-arms-euclid_yes_fraction
float32
0
1
has-spiral-arms-euclid_total-votes
int32
0
18
has-spiral-arms-euclid_no
int32
0
9
has-spiral-arms-euclid_no_fraction
float32
0
1
bar-euclid_strong
int32
0
12
bar-euclid_strong_fraction
float32
0
1
bar-euclid_total-votes
int32
0
18
bar-euclid_weak
int32
0
12
bar-euclid_weak_fraction
float32
0
1
bar-euclid_no
int32
0
15
bar-euclid_no_fraction
float32
0
1
bulge-size-euclid_dominant
int32
0
4
bulge-size-euclid_dominant_fraction
float32
0
1
bulge-size-euclid_total-votes
int32
0
18
bulge-size-euclid_large
int32
0
9
bulge-size-euclid_large_fraction
float32
0
1
bulge-size-euclid_moderate
int32
0
14
bulge-size-euclid_moderate_fraction
float32
0
1
bulge-size-euclid_small
int32
0
14
bulge-size-euclid_small_fraction
float32
0
1
bulge-size-euclid_none
int32
0
7
bulge-size-euclid_none_fraction
float32
0
1
how-rounded-euclid_round
int32
0
17
how-rounded-euclid_round_fraction
float32
0
1
how-rounded-euclid_total-votes
int32
0
18
how-rounded-euclid_in-between
int32
0
17
how-rounded-euclid_in-between_fraction
float32
0
1
how-rounded-euclid_cigar-shaped
int32
0
15
how-rounded-euclid_cigar-shaped_fraction
float32
0
1
edge-on-bulge-euclid_boxy
int32
0
6
edge-on-bulge-euclid_boxy_fraction
float32
0
1
edge-on-bulge-euclid_total-votes
int32
0
15
edge-on-bulge-euclid_none
int32
0
11
edge-on-bulge-euclid_none_fraction
float32
0
1
edge-on-bulge-euclid_rounded
int32
0
11
edge-on-bulge-euclid_rounded_fraction
float32
0
1
spiral-winding-euclid_tight
int32
0
14
spiral-winding-euclid_tight_fraction
float32
0
1
spiral-winding-euclid_total-votes
int32
0
18
spiral-winding-euclid_medium
int32
0
13
spiral-winding-euclid_medium_fraction
float32
0
1
spiral-winding-euclid_loose
int32
0
13
spiral-winding-euclid_loose_fraction
float32
0
1
spiral-arm-count-euclid_1
int32
0
7
spiral-arm-count-euclid_1_fraction
float32
0
1
spiral-arm-count-euclid_total-votes
int32
0
18
spiral-arm-count-euclid_2
int32
0
17
spiral-arm-count-euclid_2_fraction
float32
0
1
spiral-arm-count-euclid_3
int32
0
11
spiral-arm-count-euclid_3_fraction
float32
0
1
spiral-arm-count-euclid_4
int32
0
15
spiral-arm-count-euclid_4_fraction
float32
0
1
spiral-arm-count-euclid_more-than-4
int32
0
5
spiral-arm-count-euclid_more-than-4_fraction
float32
0
1
spiral-arm-count-euclid_cant-tell
int32
0
10
spiral-arm-count-euclid_cant-tell_fraction
float32
0
1
merging-euclid_none
int32
0
18
merging-euclid_none_fraction
float32
0
1
merging-euclid_total-votes
int32
0
19
merging-euclid_minor-disturbance
int32
0
10
merging-euclid_minor-disturbance_fraction
float32
0
1
merging-euclid_major-disturbance
int32
0
10
merging-euclid_major-disturbance_fraction
float32
0
1
merging-euclid_merger
int32
0
15
merging-euclid_merger_fraction
float32
0
1
clumps-euclid_yes
int32
0
13
clumps-euclid_yes_fraction
float32
0
1
clumps-euclid_total-votes
int32
0
19
clumps-euclid_no
int32
0
15
clumps-euclid_no_fraction
float32
0
1
problem-euclid_star
int32
0
13
problem-euclid_star_fraction
float32
0
1
problem-euclid_total-votes
int32
0
18
problem-euclid_artifact
int32
0
14
problem-euclid_artifact_fraction
float32
0
1
problem-euclid_zoom
int32
0
11
problem-euclid_zoom_fraction
float32
0
1
artifact-euclid_satellite
int32
0
10
artifact-euclid_satellite_fraction
float32
0
1
artifact-euclid_total-votes
int32
0
14
artifact-euclid_scattered
int32
0
3
artifact-euclid_scattered_fraction
float32
0
1
artifact-euclid_diffraction
int32
0
4
artifact-euclid_diffraction_fraction
float32
0
1
artifact-euclid_ray
int32
0
2
artifact-euclid_ray_fraction
float32
0
1
artifact-euclid_saturation
int32
0
4
artifact-euclid_saturation_fraction
float32
0
1
artifact-euclid_other
int32
0
6
artifact-euclid_other_fraction
float32
0
1
artifact-euclid_ghost
int32
0
5
artifact-euclid_ghost_fraction
float32
0
1
summary
stringclasses
1 value
00cb13a09b4dccf90b4fd8423a700d0a623e83decd1d7a6e15276ecd6d9619a3
gz_euclid
3
0.6
5
2
0.4
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
3
1
0.333333
2
0.666667
0
0
2
0
0
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
0
0
0
0
1
0.2
1
0.5
2
1
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00cb5279990b354d57b6cfe3b5d6dd1b2f7670ddd3275c178c06b5f7054b3bc8
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00cfac76a755638d24ad9d64921659aff6bdb6d9f9f63b18eaec01379a3d603c
gz_euclid
1
0.2
5
3
0.6
1
0.2
1
0.333333
3
2
0.666667
1
0.5
2
1
0.5
0
0
2
0
0
2
1
0
0
2
1
0.5
1
0.5
0
0
0
0
0
0
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
2
0.5
4
1
0.25
1
0.25
0
0
0
0
3
3
1
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
00cffbdfcdfcd46b2b4cc281ba2120173d2b8cd74fd87d2c7da020c2d3d3b695
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
3
0.6
5
2
0.4
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
0
0
0
0
1
0.2
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00d07966a802cac5eec2334824aacadf4783656c75c6574190b7f414a094e503
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
0
0
4
1
0.25
3
0.75
0
0
4
1
0.25
1
0.25
2
0.5
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
3
0.75
4
0
0
1
0.25
1
0.25
4
1
0.25
1
0.25
1
0.25
0
0
0
0
2
0.4
5
2
0.4
1
0.2
0
0
0
0
4
4
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00d17bff0a76a5ac874f513d298be8b139a126de83ecd75225d4512b922d2522
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
1
0.5
2
1
0.5
0
0
2
0
0
2
1
0
0
2
0
0
1
0.5
1
0.5
0
0
0
0
3
3
1
0
0
0
null
0
0
null
0
null
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
4
0.8
5
1
0.2
0
0
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00d1cd583c6913690cd23cbcec90164768c07437b36f94b5a22d44b68c6857d4
gz_euclid
2
0.4
5
2
0.4
1
0.2
0
0
2
2
1
2
1
2
0
0
0
0
2
0
0
2
1
0
0
2
0
0
2
1
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
1
0.5
2
1
0.5
0
0
0
0
2
0
0
1
0.5
0
0
0
0
1
0.5
3
0.75
4
1
0.25
0
0
0
0
1
0.5
2
1
0.5
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00d6b5d197c632d7921e92230f8e4055dce0886b4fe847a82c501c386314beb0
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
0
0
5
2
0.4
3
0.6
0
0
5
0
0
5
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
2
0.4
5
3
0.6
0
0
0
0
5
2
0.4
2
0.4
0
0
0
0
1
0.2
4
0.8
5
1
0.2
0
0
0
0
2
0.4
5
3
0.6
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00d77a5ce08cfb3e9fc0dcc01775003987c6b12246883dd8f53e9ded6e724685
gz_euclid
0
0
5
4
0.8
1
0.2
0
0
4
4
1
1
0.25
4
3
0.75
0
0
4
0
0
4
1
0
0
4
2
0.5
2
0.5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0.25
4
0
0
2
0.5
1
0.25
2
0.5
4
2
0.5
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
00d862d408cd47aa541254c569b719b349b6a37b37dcf9bd2bfeadf00fa9c218
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00da0889ad0a36325d46669819007ee89d729d1a1f591bde86e5f01db505406a
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
2
0.5
4
1
0.25
1
0.25
0
0
4
0
0
4
1
0
0
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
0
4
1
0.25
3
0.75
0
0
4
4
1
0
0
0
0
0
0
0
0
4
0.8
5
0
0
1
0.2
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00daa7876cf340203b90f3d62f3ee269033c5369f2d66b1b4ce1792d24406829
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
2
0.666667
3
1
0.333333
0
0
3
0
0
3
1
0
0
3
1
0.333333
2
0.666667
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
0
0
2
1
0.5
1
0.5
0
0
2
1
0.5
1
0.5
0
0
0
0
0
0
3
0.6
5
0
0
2
0.4
0
0
1
0.333333
3
2
0.666667
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00db4b3cedb22269d63eb025233f5bcc4893ef2341cc02e5ac41689d817181bb
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
0
0
5
1
0.2
4
0.8
0
0
5
0
0
1
0.2
3
0.6
1
0.2
0
null
0
0
null
0
null
0
null
0
0
null
0
null
2
0.4
5
2
0.4
1
0.2
0
0
5
1
0.2
2
0.4
1
0.2
0
0
1
0.2
2
0.4
5
2
0.4
1
0.2
0
0
4
0.8
5
1
0.2
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00dc7904d33f27315acd431b8b33eab56df023a301cc65d84d470bd2f4ffa1ae
gz_euclid
0
0
5
4
0.8
1
0.2
1
0.25
4
3
0.75
2
0.666667
3
1
0.333333
1
0.333333
3
1
0.333333
1
0.333333
1
0.333333
3
1
0.333333
1
0.333333
0
0
0
0
0
null
0
0
null
0
null
0
0
1
1
1
0
0
2
1
2
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0.5
1
0.5
1
0.25
4
1
0.25
2
0.5
0
0
2
0.5
4
2
0.5
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00dd0fda74bdfb6715bca614791001f5dfac70b66e9a5b0ef3496ee01b198540
gz_euclid
3
0.6
5
2
0.4
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
3
3
1
0
0
0
0
2
0
0
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.6
5
1
0.2
1
0.2
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00de61e87e09f8744e84b3a766749b80edd03d6e28baf0ec3c6c57cc96958a1b
gz_euclid
3
0.6
5
1
0.2
1
0.2
1
1
1
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
3
3
1
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.5
4
1
0.25
0
0
1
0.25
1
1
1
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00df6cc6c3ef42ca4f498b37bdb0cc70e0892470b04684fb7a9b1afdef1a0a4a
gz_euclid
4
0.8
5
1
0.2
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
4
3
0.75
1
0.25
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e0986ce4608741dcb5b77de5d116912513472b6db5ebe447072a0f945f4b69
gz_euclid
0
0
5
3
0.6
2
0.4
0
0
3
3
1
3
1
3
0
0
2
0.666667
3
1
0.333333
0
0
1
0.333333
3
2
0.666667
0
0
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
1
0.333333
3
2
0.666667
0
0
0
0
3
2
0.666667
0
0
0
0
0
0
1
0.333333
2
0.666667
3
1
0.333333
0
0
0
0
0
0
3
3
1
1
0.5
2
0
0
1
0.5
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e0d3b4829c39cddc0a32722736f0105c282af7c663751e47a5dabbf4824ce4
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
4
4
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e120eef4ae917ac9bd22cf73aa185f53c13ef9b5cd654028f089f6c122eb23
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
1
0.25
4
1
0.25
2
0.5
1
0.25
4
0
0
2
0.5
1
0.25
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
1
0.25
4
2
0.5
1
0.25
0
0
4
3
0.75
0
0
1
0.25
0
0
0
0
3
0.6
5
1
0.2
1
0.2
0
0
3
0.75
4
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e29e24e47039ed74a0010a11d424e2bf0de4897c6762b09ac76d6b5b9c52ab
gz_euclid
0
0
5
0
0
5
1
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
null
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e2bc23de747183bb1c80aad6034d9efa5fae9d51900aa7dc3d5f3844ca0bb4
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e3c0058e9ad297dae18fdd339d15ae87b8e0a211cbf081e471ff2d9ba7b043
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
0
0
2
0
0
2
1
0
0
2
2
1
0
0
0
0
0
0
0
0
3
3
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
1
0.5
2
1
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e50a46d12206ee15e54a6041a6c58cf512154b2f67d0099be38d3e347c92b8
gz_euclid
3
0.6
5
2
0.4
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
3
0
0
3
1
2
1
2
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e57723e56025880064a250b457efabe420ba69296dca84b0a37755f86eef15
gz_euclid
0
0
5
0
0
5
1
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
null
1
0.2
5
2
0.4
2
0.4
0
0
2
0
0
0
0
0
0
1
0.5
1
0.5
0
0
00e604161c758be2f76f3318eacb5f1ffaa7c221cc5372408101629d7a1ad81b
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
0
0
3
3
1
0
0
3
0
0
3
1
2
0.666667
3
0
0
1
0.333333
0
0
0
0
2
1
2
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
3
1
3
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e924de483c2fd0a0a33300a8a688b0c88ec36b8161dc7a5dd0874ca6226033
gz_euclid
1
0.2
5
4
0.8
0
0
4
1
4
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
1
0
0
1
1
0
0
4
4
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
0
0
4
4
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e92f0062854ba5c265d27f974aacf8c80d4abf25f3d20af2645c30826ddc8c
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
0
0
2
0
0
2
1
0
0
2
1
0.5
0
0
1
0.5
0
0
3
1
3
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.6
5
1
0.2
1
0.2
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e9b9836ecca748d9f84dadf32f1b18e519373d6064bbcd6b8e9f14aa64ebfa
gz_euclid
3
0.6
5
1
0.2
1
0.2
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
2
0.666667
3
1
0.333333
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.75
4
1
0.25
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00e9f662b89d47a6fb20e7dd9c3f2304c4a6708f3b2913bd7a52aae37bce6e2d
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
0
0
5
3
0.6
2
0.4
0
0
5
2
0.4
2
0.4
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
1
0.2
5
3
0.6
1
0.2
0
0
5
1
0.2
3
0.6
1
0.2
0
0
0
0
3
0.6
5
2
0.4
0
0
0
0
1
0.2
5
4
0.8
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00ea8751d44cbe68ce8173c47a91e4e2316d8a4fc8f467abd72b7ce4abf0ffca
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
0
0
4
1
0.25
3
0.75
1
0.25
4
0
0
2
0.5
1
0.25
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
0
4
3
0.75
1
0.25
0
0
4
4
1
0
0
0
0
0
0
0
0
3
0.6
5
0
0
0
0
2
0.4
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00eb8f6408e3b4510d8d980daecb7d89c8ed09e590313281d6b0701652d00be6
gz_euclid
3
0.6
5
0
0
2
0.4
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
3
1
3
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
1
0.333333
3
0
0
0
0
2
0.666667
0
null
0
0
null
0
0
2
1
0.5
1
0.5
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
00ec40a9b9b0194894c1a10b8c2aa89892c3fbe02bfece11f128a8858e735b78
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
2
0.5
4
2
0.5
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00ec6fc1fea850791448abbfb7a73b9f55bec08060c565698c97bc135c3c9fc7
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
0
0
4
4
1
0
0
4
0
0
4
1
2
0.5
4
0
0
1
0.25
0
0
1
0.25
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
1
0.2
1
0.2
1
0.2
3
0.75
4
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f07b34c8312f0763ca9b3c2fca552e387b52ed394c821f96f2a4bb8c181928
gz_euclid
2
0.333333
6
4
0.666667
0
0
0
0
4
4
1
1
0.25
4
3
0.75
0
0
4
2
0.5
2
0.5
0
0
4
1
0.25
2
0.5
1
0.25
0
0
2
1
2
0
0
0
0
0
null
0
0
null
0
null
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
5
0.833333
6
0
0
0
0
1
0.166667
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f09b92a1bd1ce933bf82d855cba5a5a4e9018dd04972772bc7b153f3dcb2dd
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
0
0
4
3
0.75
1
0.25
1
0.25
4
0
0
3
0.75
0
0
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
0
4
3
0.75
1
0.25
1
0.25
4
2
0.5
0
0
0
0
0
0
1
0.25
3
0.6
5
2
0.4
0
0
0
0
4
1
4
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f0a37f8132c9ffdfb9f2a5a9dc3d00a56d41ce70fe384a12530cf135167068
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
3
0.75
4
1
0.25
0
0
4
0
0
4
1
0
0
4
0
0
1
0.25
3
0.75
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
1
0.333333
3
2
0.666667
0
0
0
0
3
1
0.333333
1
0.333333
0
0
1
0.333333
0
0
2
0.4
5
1
0.2
2
0.4
0
0
3
0.75
4
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f176e78e53867ccb50e953e6725c14823845248b5b8abd74a90759218d891d
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
1
0.5
2
0
0
1
0.5
0
0
2
2
1
0
0
0
0
0
0
1
0.333333
3
2
0.666667
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f1cb29c65a87fda27d97337b2ef1adf135bdf7a4e0a88602d5babec83da6bf
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
1
0.2
5
3
0.6
1
0.2
1
0.2
5
0
0
4
0.8
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
0
5
5
1
0
0
0
0
5
5
1
0
0
0
0
0
0
0
0
3
0.6
5
2
0.4
0
0
0
0
2
0.4
5
3
0.6
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f28a5d303301f385ca442fa91b1d1c6fd117531ee417350359b7734fd0714e
gz_euclid
2
0.4
5
2
0.4
1
0.2
1
0.5
2
1
0.5
0
0
1
1
1
1
1
1
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
2
0
0
2
1
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.75
4
1
0.25
0
0
0
0
1
0.5
2
1
0.5
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f2b685efd0ac9366536ff1c6858c61b06d6139e45b0316a7bc13c7d1bf9675
gz_euclid
4
0.8
5
1
0.2
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
1
0.25
4
1
0.25
2
0.5
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
3
0.6
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f2d71de0a6312a07854bcbd33ae43a32f56d085a44ef56add254d751bb9e83
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
4
1
4
0
0
1
0.25
4
2
0.5
1
0.25
0
0
4
1
0.25
2
0.5
1
0.25
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
1
0.25
4
3
0.75
0
0
1
0.25
4
3
0.75
0
0
0
0
0
0
0
0
1
0.2
5
4
0.8
0
0
0
0
2
0.5
4
2
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f5e3db29c90c03a260394cb9d8317b403f22d21841a0f5fdd2c8a66572ae21
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
4
4
1
0
0
0
null
0
0
null
0
null
1
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
0.2
5
4
0.8
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00f685c50f47ae017a9c05ea84870c664eb9da383f5ee4cc73d5ffc85d54e358
gz_euclid
1
0.2
5
3
0.6
1
0.2
0
0
3
3
1
2
0.666667
3
1
0.333333
0
0
3
0
0
3
1
0
0
3
0
0
2
0.666667
1
0.333333
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
2
1
2
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
1
3
0.75
4
1
0.25
0
0
0
0
1
0.333333
3
2
0.666667
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fb882e8305030cae9a9c3d078f3db01ce13d887257a53516c9880578fa334d
gz_euclid
2
0.4
5
3
0.6
0
0
1
0.333333
3
2
0.666667
1
0.5
2
1
0.5
0
0
2
0
0
2
1
0
0
2
0
0
2
1
0
0
0
0
1
0.5
2
1
0.5
0
0
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
2
0.4
5
0
0
3
0.6
0
0
0
0
3
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fbe6f90940951832afb08d695360eeb0d932bd9af35e480fd6c4717e448481
gz_euclid
2
0.4
5
3
0.6
0
0
2
0.666667
3
1
0.333333
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
1
0
0
0
0
2
0
0
2
1
1
0.5
2
0
0
1
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
0
0
3
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fc62bb8b144a6ffe4ada425746fe7e1463188a86b757b796a7157c3fae66fd
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
3
1
3
0
0
0
0
3
2
0.666667
1
0.333333
0
0
3
2
0.666667
1
0.333333
0
0
0
0
2
1
2
0
0
0
0
0
null
0
0
null
0
null
0
0
3
2
0.666667
1
0.333333
0
0
3
1
0.333333
1
0.333333
0
0
0
0
1
0.333333
2
0.4
5
2
0.4
1
0.2
0
0
1
0.333333
3
2
0.666667
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fc664da9de06e8838d1a22e243e48f693cd1c9de3f673c4ed5f4ab0eab314b
gz_euclid
1
0.2
5
3
0.6
1
0.2
1
0.333333
3
2
0.666667
2
1
2
0
0
0
0
2
1
0.5
1
0.5
0
0
2
1
0.5
1
0.5
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
0
1
1
2
1
2
0
0
0
0
2
1
2
0
0
0
0
0
0
0
0
0
0
2
0.5
4
1
0.25
1
0.25
0
0
1
0.333333
3
2
0.666667
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fd14032b9158535221d12face80a0bff0f261ff92358bc1acab0434867dbd1
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
1
0.5
2
0
0
1
0.5
0
0
2
1
0.5
1
0.5
0
0
0
0
1
0.333333
3
1
0.333333
1
0.333333
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
5
1
0.2
2
0.4
2
0.4
2
1
2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fd913c20c7025c8c36b0990692c8cba37dfc4b369c2c6932386bb3ad5c4d14
gz_euclid
3
0.6
5
1
0.2
1
0.2
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
3
2
0.666667
1
0.333333
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
1
4
0
0
0
0
0
0
0
0
1
1
1
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fe22ddc21144671e404394937eac49f9465a1366e1055c4ad860050ada2892
gz_euclid
0
0
5
4
0.8
1
0.2
0
0
4
4
1
4
1
4
0
0
1
0.25
4
1
0.25
2
0.5
1
0.25
4
0
0
2
0.5
0
0
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
0
4
1
0.25
3
0.75
0
0
4
4
1
0
0
0
0
0
0
0
0
2
0.5
4
0
0
1
0.25
1
0.25
4
1
4
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
00fea2c4a8bf3f052b728520b2ba33519eb9b0712c5a4899b401657e46d6c728
gz_euclid
3
0.6
5
2
0.4
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
3
1
0.333333
2
0.666667
0
0
2
0
0
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
3
0.6
0
0
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01001dc75d714404b4dbad3c214307bfd7fff9965c671ee9206adc8d5ba26d70
gz_euclid
1
0.2
5
4
0.8
0
0
2
0.5
4
2
0.5
2
1
2
0
0
0
0
2
2
1
0
0
0
0
2
0
0
2
1
0
0
0
0
0
0
1
0
0
1
1
1
0.5
2
0
0
1
0.5
1
0.5
2
1
0.5
0
0
0
0
2
2
1
0
0
0
0
0
0
0
0
2
0.4
5
3
0.6
0
0
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0100b34ae0b3da0415d5671708e0f355e020c057a67d30ed7fb34e6fb5610ed3
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
3
0.75
4
1
0.25
0
0
0
null
0
0
null
0
null
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
4
0.8
5
1
0.2
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01016d434b9b58d4da89a039d38ac7002c6565f52759e39dc10cafca0aa83341
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
3
0.75
4
1
0.25
0
0
4
1
0.25
3
0.75
0
0
4
1
0.25
3
0.75
0
0
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
1
0.333333
3
1
0.333333
1
0.333333
1
0.333333
3
1
0.333333
1
0.333333
0
0
0
0
0
0
3
0.6
5
2
0.4
0
0
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0101ac5dc0b8e049adcb7f8c5097693e21535d8d1d68cd48afe356e07e647cb5
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
0
0
3
3
1
0
0
3
0
0
3
1
0
0
3
0
0
2
0.666667
0
0
1
0.333333
0
0
2
1
0.5
1
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
1
0.2
5
0
0
3
0.6
1
0.2
0
0
3
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0104154145281e750ddbf7a9300e25e0f39d8947308301e994b525624df28ba0
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
0
0
5
1
0.2
4
0.8
1
0.2
5
1
0.2
3
0.6
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
2
0.4
5
2
0.4
1
0.2
0
0
5
1
0.2
0
0
0
0
2
0.4
2
0.4
1
0.2
5
3
0.6
1
0.2
0
0
4
0.8
5
1
0.2
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0104c3b2ecd61a56331706ef4de84d4109f1737c9e785ddf41acfbb316e85e33
gz_euclid
16
0.842105
19
2
0.105263
1
0.052632
0
0
2
2
1
0
0
2
2
1
0
0
2
1
0.5
1
0.5
0
0
2
1
0.5
1
0.5
0
0
0
0
4
0.25
16
11
0.6875
1
0.0625
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
11
0.611111
18
7
0.388889
0
0
0
0
0
0
2
2
1
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0105bffc8334277aabbbc0767db631be6d0631c9bb7855660a5b8bfef6807cf8
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01068f5804df290a9b024b55c713b4bd9a8c54647575c7178600fa5532483faa
gz_euclid
1
0.2
5
4
0.8
0
0
1
0.25
4
3
0.75
0
0
3
3
1
0
0
3
0
0
3
1
1
0.333333
3
2
0.666667
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
2
0.4
1
0.2
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0106e747910b2b738ed59060ec3c5459c41571b68aaef7b1844869f31409ae69
gz_euclid
2
0.4
5
2
0.4
1
0.2
0
0
2
2
1
2
1
2
0
0
0
0
2
0
0
2
1
1
0.5
2
0
0
1
0.5
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
1
0.5
2
0
0
1
0.5
1
0.5
2
0
0
0
0
0
0
0
0
1
0.5
1
0.25
4
2
0.5
1
0.25
0
0
1
0.5
2
1
0.5
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0107fbbcd131721cba63bc0707ba8d86003a975cbd1d566514516c695877b578
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
4
0.8
5
1
0.2
0
0
5
3
0.6
2
0.4
0
0
5
0
0
1
0.2
3
0.6
1
0.2
0
null
0
0
null
0
null
0
null
0
0
null
0
null
1
0.25
4
3
0.75
0
0
0
0
4
3
0.75
1
0.25
0
0
0
0
0
0
1
0.2
5
1
0.2
2
0.4
1
0.2
1
0.2
5
4
0.8
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0109c2932d14bba895cc327c326c580a8cd5f0fb470b908c5ef2187af14773b3
gz_euclid
3
0.6
5
1
0.2
1
0.2
1
1
1
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
1
0.333333
3
2
0.666667
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
4
1
0.25
0
0
3
0.75
1
1
1
0
0
1
1
1
0
0
0
0
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
010c109fedd0e61fb8ac953b1a1856acce2cee92ffbfd55f4c4698b9699ac8ff
gz_euclid
1
0.2
5
1
0.2
3
0.6
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
1
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
2
0
0
2
1
0
0
1
1
1
0
0
0
0
3
2
0.666667
1
0.333333
0
0
2
0
0
0
0
0
0
0
0
2
1
0
0
010de2bdc6021f63ffd26d23cf8a4cccd0bf8f1543248da2fda90f39fcaf88c5
gz_euclid
8
0.444444
18
7
0.388889
3
0.166667
1
0.142857
7
6
0.857143
1
0.166667
6
5
0.833333
0
0
6
2
0.333333
4
0.666667
1
0.166667
6
1
0.166667
3
0.5
1
0.166667
0
0
0
0
8
8
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
1
0
0
0
0
10
0.666667
15
3
0.2
2
0.133333
0
0
1
0.142857
7
6
0.857143
0
0
3
3
1
0
0
0
0
3
0
0
0
0
1
0.333333
0
0
2
0.666667
0
0
010e52bab2e3c4284e3587e0ce81dce8b717449958bf3892e8a9c46ec42323dc
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
0
0
2
0
0
2
1
1
0.5
2
1
0.5
0
0
0
0
0
0
3
1
3
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01105ec985751e8a534c5212741e9d662856229beb6e2da2ed0105b23f7b67df
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
4
3
0.75
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01110c58a9dc8a3d5c5791dddde8c1fe2ceb71cbbbd5c107dbfa8e9ee06c2d20
gz_euclid
0
0
5
4
0.8
1
0.2
0
0
4
4
1
4
1
4
0
0
0
0
4
0
0
4
1
1
0.25
4
0
0
2
0.5
0
0
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
3
0.75
4
1
0.25
0
0
1
0.25
4
1
0.25
0
0
0
0
1
0.25
1
0.25
2
0.5
4
2
0.5
0
0
0
0
3
0.75
4
1
0.25
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01113079f4e726e6de42fa096a170304c06d3852fb41adb9fbca03f2a25ebcfd
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01115f20a6efdd970d9a562aef0e02ee35ee83d91b07049d3a642dc46190766b
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
1
0.2
5
0
0
4
0.8
2
0.4
5
1
0.2
2
0.4
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
5
1
5
0
0
0
0
0
0
5
2
0.4
1
0.2
0
0
0
0
2
0.4
3
0.6
5
2
0.4
0
0
0
0
2
0.4
5
3
0.6
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0111f05700469ad25bc19de3709b40e47c30da609fb7c2544e8841ad0bcfa158
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
3
1
3
0
0
0
0
3
0
0
3
1
0
0
3
2
0.666667
1
0.333333
0
0
0
0
2
1
2
0
0
0
0
0
null
0
0
null
0
null
0
0
3
2
0.666667
1
0.333333
2
0.666667
3
1
0.333333
0
0
0
0
0
0
0
0
3
0.6
5
2
0.4
0
0
0
0
0
0
3
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01125d38c4466175801fd46fdfeb2a620c4b56fb10c9f04b2fb4951b2947363a
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
2
0.666667
3
1
0.333333
0
0
3
0
0
3
1
0
0
3
2
0.666667
1
0.333333
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
2
1
2
0
0
0
0
1
0.5
2
1
0.5
0
0
0
0
0
0
0
0
4
0.8
5
1
0.2
0
0
0
0
3
1
3
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01128eca28fe194ad4c8c896f5325f976677926232eb25fd5dd6efe8277ee72b
gz_euclid
3
0.6
5
2
0.4
0
0
1
0.5
2
1
0.5
1
1
1
0
0
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
2
0.666667
3
1
0.333333
0
0
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0.2
5
3
0.6
1
0.2
0
0
2
1
2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011317a6cbb7f4bade1f8fbfbc39a55a4a06d04f8f4f1009c3a359d6f4b7df7e
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011348f216c4c34da7d6211c4249b4894d99cce2acca5bc0162c105f67f9228d
gz_euclid
0
0
5
3
0.6
2
0.4
0
0
3
3
1
1
0.333333
3
2
0.666667
1
0.333333
3
0
0
2
0.666667
0
0
3
0
0
0
0
0
0
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0.333333
3
0
0
2
0.666667
0
0
3
1
3
0
0
0
0
2
0
0
2
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01140a54efefd3d9aa89de7f59c754de608c92dcbb696833c5ad9077e2443148
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
3
0.75
4
1
0.25
0
0
4
0
0
4
1
0
0
4
1
0.25
2
0.5
1
0.25
0
0
0
0
1
0
0
1
1
0
null
0
0
null
0
null
1
0.333333
3
1
0.333333
1
0.333333
0
0
3
0
0
0
0
0
0
0
0
3
1
2
0.4
5
1
0.2
1
0.2
1
0.2
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01153124d9314e338dc79bdf66fcb7f71ae8e5a0cb569bb2c8f0847b423cfa0c
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
2
1
2
0
0
0
0
2
1
0.5
1
0.5
1
0.5
2
0
0
0
0
1
0.5
0
0
1
0.333333
3
2
0.666667
0
0
0
null
0
0
null
0
null
1
0.5
2
1
0.5
0
0
0
0
2
2
1
0
0
0
0
0
0
0
0
1
0.2
5
2
0.4
0
0
2
0.4
2
1
2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0116ea124ae6da85fb0cc71b3e9f4ccf811da02b63d374366b6477cd6b2f033c
gz_euclid
2
0.4
5
3
0.6
0
0
0
0
3
3
1
0
0
3
3
1
0
0
3
0
0
3
1
0
0
3
0
0
3
1
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
0
0
0
3
3
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0118668d38be7197a31c2f22b5b196da9e81ce2ba802ad70472762953350c2eb
gz_euclid
4
0.8
5
0
0
1
0.2
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
2
0.5
4
2
0.5
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
1
4
0
0
0
0
0
0
0
null
0
0
null
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0118aaf123537cda1fca0dae5010f2f5bb919763fc04a897f1e25ecbd80ccc84
gz_euclid
1
0.2
5
4
0.8
0
0
4
1
4
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
1
0
0
1
1
1
0.25
4
0
0
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011947be5fd66521892d9ba7a14c8dff04807a574fd3c5b8cede6637c11a4eb2
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.6
5
1
0.2
1
0.2
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011b6364bab711a6a4d7ed6783c68235fc2985921c94a880503fec979033f1de
gz_euclid
3
0.6
5
1
0.2
1
0.2
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
1
1
0
0
3
3
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.75
4
1
0.25
0
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
011bd271d26c88f88c16f92d25819de8bd6319f6e1b1ba3daaca818346aca767
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
2
0.5
4
1
0.25
1
0.25
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
2
0.4
1
0.2
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011cd87d0eaaf055a91c3f29c04886205002322a2cab6970a3f1cdaf895efbca
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
5
1
0.2
4
0.8
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.8
5
0
0
0
0
1
0.2
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011d33d3b7f8aa9892acc56434b5123ea6cc314b3526bef20471d789c99e8e4c
gz_euclid
2
0.4
5
2
0.4
1
0.2
0
0
2
2
1
1
0.5
2
1
0.5
0
0
2
1
0.5
1
0.5
0
0
2
0
0
2
1
0
0
0
0
0
0
2
2
1
0
0
0
null
0
0
null
0
null
0
0
1
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0.25
4
0
0
1
0.25
2
0.5
0
0
2
2
1
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011df42c94061a454f00161c155268d430e9176a826117d5cc87abf84449ca70
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
1
1
1
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
4
4
1
0
0
0
null
0
0
null
0
null
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
4
0.8
5
1
0.2
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011df50b82ed9620fcd8932a5ef1de821bffd1bda945b7fae6607b3c35da6188
gz_euclid
3
0.6
5
2
0.4
0
0
0
0
2
2
1
0
0
2
2
1
1
0.5
2
1
0.5
0
0
0
0
2
0
0
2
1
0
0
0
0
2
0.666667
3
0
0
1
0.333333
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.6
5
0
0
2
0.4
0
0
0
0
2
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
011fcd2d2692b0e5e06f6758431833dbf106cc805ef27b7e112fcf843181d08a
gz_euclid
0
0
5
5
1
0
0
0
0
5
5
1
5
1
5
0
0
2
0.4
5
2
0.4
1
0.2
1
0.2
5
3
0.6
0
0
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
0
5
1
0.2
4
0.8
0
0
5
5
1
0
0
0
0
0
0
0
0
3
0.6
5
1
0.2
1
0.2
0
0
0
0
5
5
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0121323006f965b2c654d977c92da2a9a3117ebca1488a2e3d7899cd8c715499
gz_euclid
1
0.2
5
4
0.8
0
0
0
0
4
4
1
0
0
4
4
1
0
0
4
0
0
4
1
0
0
4
0
0
4
1
0
0
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.4
5
3
0.6
0
0
0
0
1
0.25
4
3
0.75
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0121e9d0c07ed8640fbd880fb6032a76a090c4f080f3e79d38d034b7b35ffd18
gz_euclid
4
0.8
5
1
0.2
0
0
0
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
4
4
1
0
0
0
null
0
0
null
0
null
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
4
0.8
5
1
0.2
0
0
0
0
0
0
1
1
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0122d971dbfa7c8c616a437dfbffe44dbc690ce8c2fafe1326f7c3289f500ee5
gz_euclid
2
0.4
5
2
0.4
1
0.2
0
0
2
2
1
2
1
2
0
0
0
0
2
1
0.5
1
0.5
1
0.5
2
0
0
0
0
1
0.5
0
0
0
0
2
2
1
0
0
0
null
0
0
null
0
null
0
0
2
0
0
2
1
0
0
2
1
0.5
0
0
0
0
0
0
1
0.5
2
0.5
4
1
0.25
1
0.25
0
0
1
0.5
2
1
0.5
0
0
1
1
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
01236eba30d3435f4eceedf00e8ceb733cd5b0129647cfcf3bc6e0fc4b6e294a
gz_euclid
2
0.4
5
0
0
3
0.6
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
2
0
0
2
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
0
2
0
0
1
0.5
1
0.5
0
null
0
0
null
0
0
3
1
0.333333
2
0.666667
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0123b05018dfb6a9e8b33f1f9a4b35f6699cdfa2dcf8d9db364b64d517c4fd83
gz_euclid
3
0.6
5
1
0.2
1
0.2
0
0
1
1
1
0
0
1
1
1
0
0
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
3
3
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
3
0.75
4
1
0.25
0
0
0
0
1
1
1
0
0
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
012685ba3fddddcbc28e0e0e317a48b83c3f2ca8ca235216a19e5f3f26367707
gz_euclid
6
1
6
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
0
6
6
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
4
0.666667
6
2
0.333333
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
01271e7f94e324eee6c6ea9c086eadcb4129e0d2fc5aec4071b48ab306504de9
gz_euclid
1
0.2
5
3
0.6
1
0.2
0
0
3
3
1
0
0
3
3
1
0
0
3
0
0
3
1
0
0
3
1
0.333333
2
0.666667
0
0
0
0
0
0
1
1
1
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
2
0.5
4
0
0
1
0.25
1
0.25
1
0.333333
3
2
0.666667
0
0
1
0
0
1
1
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
012816da11b61c1a7a4db101f0e8b1cb7bdceb183c3ddea652e02d57cd8e3468
gz_euclid
0
0
5
5
1
0
0
1
0.2
5
4
0.8
2
0.5
4
2
0.5
0
0
4
2
0.5
2
0.5
0
0
4
0
0
3
0.75
1
0.25
0
0
0
null
0
0
null
0
null
1
1
1
0
0
0
0
1
0.5
2
0
0
1
0.5
0
0
2
1
0.5
0
0
0
0
0
0
1
0.5
2
0.4
5
2
0.4
1
0.2
0
0
2
0.4
5
3
0.6
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0129bd3b38b2c53c0ce244c76ac188eea702eb87da9d638135dec9df321abf05
gz_euclid
2
0.333333
6
4
0.666667
0
0
0
0
4
4
1
2
0.5
4
2
0.5
0
0
4
1
0.25
3
0.75
0
0
4
1
0.25
3
0.75
0
0
0
0
1
0.5
2
1
0.5
0
0
0
null
0
0
null
0
null
0
0
2
2
1
0
0
0
0
2
2
1
0
0
0
0
0
0
0
0
5
0.833333
6
0
0
1
0.166667
0
0
0
0
4
4
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0129bf76bf14101e82fe2dd902c3a2c7668448f20be831f162f8a9ddf06f74a5
gz_euclid
5
1
5
0
0
0
0
0
null
0
0
null
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
4
0.8
5
1
0.2
0
0
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
1
0.2
5
1
0.2
2
0.4
1
0.2
0
null
0
0
null
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
012c7fd0ad7574dbaae0c8d8ff09630bff583a6606881535779b8649d8a931ac
gz_euclid
0
0
5
5
1
0
0
2
0.4
5
3
0.6
2
0.666667
3
1
0.333333
0
0
3
3
1
0
0
0
0
3
0
0
2
0.666667
1
0.333333
0
0
0
null
0
0
null
0
null
0
0
2
0
0
2
1
0
0
2
0
0
2
1
0
0
2
2
1
0
0
0
0
0
0
0
0
3
0.6
5
1
0.2
0
0
1
0.2
0
0
5
5
1
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null
0130e9c73a9db43953cb825c81ca06b13a8871a58366d73d9b3a79a1f4c478f6
gz_euclid
1
0.2
5
4
0.8
0
0
3
0.75
4
1
0.25
1
1
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
1
1
0
0
1
0
0
1
1
1
0.333333
3
2
0.666667
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
5
1
0.2
0
0
4
0.8
2
0.5
4
2
0.5
0
null
0
0
null
0
null
0
null
0
0
null
0
null
0
null
0
null
0
null
0
null