Rarity scores for Space Alien 777

An early Chia NFT project Space Alien 777 captured my eye due to the level of visual details. Everything from reflections in the glasses to invisible bodies! Which made for an interesting rarity calculation and inspection. Let’s take a look.

What are and how are rarity scores calculated?

Want to learn about the types of rarity scores and how these were calculated? Read here: How is a NFT rarity score calculated?

Space Alien 777 rarity scores

Click on Rarity Score and Rarity Score Normalized to see the different rarity scores. Bigger number == more rare.

In this particular NFT collection, there is a significant difference between rarity score and normalized rarity score. Rarity score normalization takes into the 2 generations of aliens. If you look at the entire metadata dataset you’ll notice there are 2 styles of NFT metadata. I’ll break apart the differences below.

Generation 1 notes

Generation 1 is space alien 1 through 444. These are indicated by standard metadata names:

  "attributes": [
    {
      "trait_type": "Background",
      "value": "Brick Red"
    },
    {
      "trait_type": "Body",
      "value": "Red Orange"
    },
    {
      "trait_type": "Eyes",
      "value": "Light Red"
    },
...

Generation 2 notes

Generation 2 is space alien 445 through 777. These are indicated by modified trait_type names.

  "attributes": [
    {
      "trait_type": "Background-",
      "value": "Ice Cold"
    },
    {
      "trait_type": "Body-",
      "value": "Dark Mint"
    },
    {
      "trait_type": "Eyes-",
      "value": "Alien Black"
    },

This unusual naming scheme for JSON/metadata created a more complex rarity calculation. An alternative and better approach could have been to add a generation attribute. Having a generation attribute would make it easier to reason about the rarity and visually easy to inspect.

  "attributes": [
    {
      "trait_type": "generation",
      "value": "1"
    },

Generation 1 rarity scores

ID	Rarity score	Rarity score normed
1	204.441	181.449
2	196.337	185.371
3	285.424	265.597
4	116.183	136.215
5	141.988	162.782
6	130.01	168.883
7	153.306	158.415
8	81.1383	115.751
9	172.844	194.86
10	255.985	237.136
11	184.057	193.187
12	276.676	293.674
13	174.897	171.17
14	168.822	189.853
15	200.051	190.667
16	236.87	215.057
17	189.708	171.669
18	119.763	136.747
19	330.681	287.838
20	200.275	198.824
21	316.277	294.02
22	184.461	187.676
23	206.58	187.677
24	120.119	141.362
25	315.027	295.971
26	130.85	139.936
27	146.767	152.368
28	123.828	169.011
29	120.186	145.229
30	186.598	187.234
31	163.459	182.949
32	205.963	189.325
33	165.372	170.681
34	184.216	173.6
35	212.311	208.615
36	231.918	233.021
37	153.99	164.603
38	139.02	153.729
39	179.463	176.36
40	160.535	169.617
41	261.551	220.419
42	119.009	149.97
43	266.741	227.425
44	153.119	177.669
45	189.498	194.539
46	210.149	204.849
47	205.61	201.388
48	241.279	201.183
49	165.338	198.388
50	162.251	210.052
51	132.667	140.454
52	155.035	167.918
53	253.771	241.17
54	209.619	191.115
55	92.3149	133.218
56	138.234	167.471
57	99.5468	125.167
58	192.292	188.533
59	197.739	194.75
60	98.1539	125.532
61	193.463	207.266
62	140.648	170.617
63	146.299	172.763
64	143.024	149.2
65	252.899	226.169
66	276.071	237.018
67	193.315	175.441
68	111.872	145.984
69	109.002	138.023
70	352.433	256.101
71	123.319	161.43
72	140.669	158.825
73	197.637	191.637
74	131.473	155.512
75	109.213	153.904
76	150.42	165.026
77	263.029	238.024
78	144.92	168.231
79	151.723	163.016
80	203.624	211.97
81	198.494	181.43
82	156.074	163.02
83	108.429	139
84	213.441	195.713
85	166.8	177.917
86	92.5549	119.381
87	151.696	157.608
88	228.752	216.728
89	243.701	210.094
90	192.34	210.036
91	205.545	204.684
92	172.334	171.205
93	223.119	200.223
94	104.341	139.306
95	115.91	148.711
96	212.156	186.109
97	187.645	194.113
98	185.637	205.671
99	155.984	175.718
100	192.592	225.773
101	215.88	204.113
102	194.619	199.414
103	327.777	271.863
104	153.821	160.936
105	165.648	173.023
106	167.43	169.177
107	180.901	177.909
108	203.158	206.155
109	233.87	240.211
110	218.751	220.338
111	241.388	222.17
112	152.238	153.749
113	172.022	177.504
114	158.481	175.502
115	127.104	156.561
116	287.824	221.212
117	216.829	234.353
118	200.478	212.152
119	95.4155	127.138
120	172.567	179.226
121	207.99	195.518
122	240.361	239.696
123	339.958	283.288
124	330.725	308.574
125	161.616	172.378
126	311.752	258
127	173.832	191.059
128	211.853	180.883
129	185.3	196.568
130	144.481	161.84
131	136.593	142.606
132	203.458	189.518
133	121.438	137.152
134	226.539	213.53
135	187.127	190.461
136	126.218	154.135
137	122.715	134.362
138	230.378	201.809
139	160.501	169.232
140	152.61	153.416
141	112.363	153.875
142	136.44	170.361
143	177.625	185.959
144	261.968	229.128
145	125.883	144.466
146	165.902	167.016
147	118.978	144.179
148	203.415	192.161
149	146.319	154.708
150	196.966	199.196
151	304.131	254.464
152	317.022	315.672
153	224.145	209.771
154	147.235	149.693
155	221.656	213.158
156	98.1368	137.656
157	230.04	207.264
158	153.279	165.019
159	187.881	193.06
160	169.2	168.701
161	208.129	197.926
162	161.657	175.932
163	87.8856	122.248
164	128.691	152.723
165	211.544	203.531
166	135.29	139.004
167	130.305	165.469
168	164.772	170.108
169	136.027	149.146
170	214.235	208.68
171	159.526	166.458
172	168.465	179.206
173	236.262	202.732
174	109.926	152.556
175	184.444	194.945
176	400.719	292.649
177	191.765	176.648
178	148.038	157.922
179	255.832	248.635
180	225.621	211.31
181	165.126	176.628
182	135.422	168.092
183	190.169	177.623
184	89.6347	125.999
185	133.446	162.508
186	195.911	181.901
187	118.63	149.566
188	224.4	238.726
189	112.12	121.979
190	171.02	159.25
191	254.433	216.393
192	134.057	153.486
193	313.586	229.817
194	201.772	198.537
195	267.381	229.999
196	179.131	166.466
197	186.803	209.586
198	193.299	187.669
199	134.886	143.264
200	149.462	163.213
201	133.004	172.967
202	192.44	185.516
203	232.078	226.268
204	198.757	183.474
205	164.179	176.631
206	408.406	329.564
207	230.517	209.249
208	96.0317	128.385
209	167.904	155.405
210	114.511	142.449
211	286.504	239.915
212	145.978	158.92
213	130.106	176.607
214	215.01	224.686
215	176.973	173.155
216	167.866	178.989
217	113.881	142.626
218	152.278	170.038
219	216.514	213.261
220	198.059	187.726
221	245.262	206.486
222	144.998	156.614
223	244.261	217.042
224	197.558	227.56
225	244.88	197.309
226	171.342	164.928
227	137.52	149.907
228	432.53	392.231
229	263.917	259.81
230	178.64	168.994
231	211.981	209.903
232	225.001	220.99
233	116.974	142.936
234	137.107	161.168
235	343.677	283.814
236	166.148	176.763
237	165.894	180.902
238	106.991	137.123
239	109.265	123.347
240	164.168	180.369
241	132.675	163.483
242	236.509	245.669
243	138.461	152.096
244	208.227	189.466
245	134.044	168.891
246	237.738	204.691
247	137.045	147.788
248	174.387	173.521
249	241.644	253.893
250	155.505	159.697
251	208.581	194.831
252	136.979	169.238
253	184.125	180.878
254	127.636	150.451
255	117.977	159.923
256	191.286	176.433
257	134.184	156.381
258	246.588	203.954
259	144.091	166.357
260	239.772	215.073
261	218.008	188.175
262	141.653	153.131
263	129.753	139.641
264	118.801	152.94
265	141.709	164.306
266	187.587	174.739
267	277.003	247.795
268	259.116	214.69
269	153.663	170.984
270	118.963	132.291
271	191.631	185.842
272	164.6	183.241
273	192.942	189.009
274	181.705	197.04
275	272.686	274.292
276	176.008	183.302
277	206.226	188.444
278	121.949	146.775
279	366.208	302.957
280	153.741	178.133
281	88.2242	132.079
282	197.745	186.539
283	201.569	192.665
284	241.022	230.558
285	207.761	197.093
286	264.888	219.864
287	152.168	169.687
288	127.219	146.745
289	386.03	282.678
290	175.603	184.721
291	132.073	151.909
292	153.63	163.724
293	197.855	189.722
294	163.648	174.14
295	164.814	175.868
296	154.483	167.404
297	133.07	154.653
298	149.752	171.107
299	104.473	147.93
300	171.225	181.049
301	180.847	177.318
302	272.409	221.816
303	366.843	359.233
304	158.433	182.591
305	362.716	374.974
306	156.696	160.69
307	155.832	181.332
308	149.198	167.137
309	199.342	204.835
310	292.632	245.361
311	249.889	235.135
312	218.412	191.635
313	379.312	300.221
314	343.307	339.764
315	237.837	244.044
316	219.712	199.064
317	156.26	167.727
318	201.643	192.193
319	210.734	202.723
320	216.393	189.896
321	105.835	135.535
322	201.46	208.69
323	200.526	204.441
324	175.779	179.608
325	264.256	239.12
326	230.487	209.829
327	104.59	139.943
328	150.039	167.562
329	86.1573	124.311
330	226.496	206.503
331	202.647	189.702
332	241.269	249.464
333	221.387	220.999
334	146.857	143.437
335	164.959	187.103
336	124.556	148.556
337	221.387	190.777
338	235.424	239.391
339	193.101	192.934
340	99.3027	135.965
341	366.257	299.237
342	235.22	211.99
343	167.388	171.347
344	222.238	209.202
345	127.283	141.278
346	193.597	176.522
347	170.595	169.608
348	308.615	222.667
349	137.052	145.39
350	205.259	212.326
351	225.886	197.34
352	179.529	161.286
353	392.62	357.577
354	98.1927	139.842
355	98.2165	134.61
356	195.191	173.339
357	198.863	221.298
358	255.598	270.988
359	260.432	234.839
360	134.514	132.722
361	185.01	187.266
362	376.66	271.686
363	172.034	161.073
364	230.016	226.123
365	334.721	305.526
366	151.964	161.364
367	221.138	226.894
368	223.217	213.94
369	213.728	205.629
370	248.099	217.506
371	179.399	191.365
372	255.285	221.371
373	164.291	177.951
374	159.582	182.487
375	231.731	200.136
376	559.389	367.002
377	261.792	225.7
378	167.075	176.686
379	137.119	161.942
380	152.553	177.476
381	182.506	179.292
382	256.481	228.606
383	192.162	187.535
384	336.775	313.485
385	145.195	160.271
386	231.117	235.07
387	139.978	150.598
388	119.694	147.677
389	173.208	179.512
390	208.596	225.377
391	346.703	245.34
392	196.382	183.56
393	157.897	179.936
394	151.918	162.999
395	125.51	146.68
396	142.155	159.27
397	235.898	222.05
398	140.245	162.762
399	139.997	161.157
400	264.032	231.165
401	133.482	139.771
402	100.149	127.521
403	161.728	169.771
404	130.334	153.804
405	233.728	205.345
406	139.17	149.311
407	180.274	166.928
408	97.0107	127.121
409	146.104	169.578
410	99.9699	123.347
411	207.915	207.482
412	174.38	164.77
413	280.434	235.544
414	198.226	209.658
415	197.222	187.673
416	199.213	212.722
417	157.423	180.979
418	280.901	244.904
419	229.621	206.424
420	84.0301	116.933
421	205.08	190.505
422	217.465	210.063
423	185.576	171.244
424	193.404	190.233
425	233.815	215.404
426	152.608	158.551
427	153.463	177.096
428	191.482	178.981
429	167.723	190.989
430	237.305	212.316
431	126.012	168.884
432	203.794	200.476
433	138.499	166.996
434	100.997	141.616
435	214.819	214.031
436	194.918	178.747
437	133.557	144.474
438	222.379	218.752
439	168.032	176.541
440	183.473	194.494
441	188.182	187.297
442	383.185	293.164
443	202.801	205.403
444	80.6253	114.423

.

Generation 2 rarity scores

ID	Rarity score	Rarity score normed
445	88.7382	89.4448
446	91.1695	103.363
447	84.6287	89.3171
448	103.954	98.2651
449	105.469	95.0268
450	92.7293	94.3281
451	170.066	125.37
452	75.13	75.6959
453	158.36	174.037
454	80.201	78.7171
455	102.809	100.383
456	102.816	108.983
457	99.5069	107.276
458	86.2824	94.9616
459	92.93	85.7772
460	86.0879	85.5294
461	91.7735	88.2966
462	100.105	87.8788
463	103.191	108.596
464	65.19	69.5572
465	73.5338	80.6398
466	100.664	91.2056
467	72.9364	80.8628
468	93.4884	96.3822
469	76.5196	79.2376
470	140.506	121.431
471	87.9039	91.9828
472	81.0369	76.0774
473	102.086	104.745
474	109.676	111.789
475	104.205	108.229
476	91.29	98.0372
477	101.583	103.135
478	93.9168	114.414
479	87.0614	83.4495
480	70.1289	77.5455
481	82.7978	80.1894
482	100.757	105.673
483	87.1185	80.7658
484	97.0204	106.101
485	85.8483	101.218
486	104.472	106.896
487	83.1008	86.9562
488	95.2056	98.0327
489	74.8739	73.1761
490	96.0392	100.87
491	66.8516	65.5681
492	90.5793	90.9322
493	99.6345	97.7229
494	79.6748	80.5403
495	86.5499	93.7481
496	111.406	100.615
497	86.28	88.7345
498	76.1288	85.4451
499	78.5049	76.3874
500	97.1431	100.938
501	80.7342	76.6336
502	131.407	121.712
503	86.5965	85.9045
504	113.147	103.303
505	97.0821	84.5244
506	88.9418	90.9196
507	97.7652	103.755
508	83.4049	77.017
509	80.0148	74.45
510	86.7534	91.5008
511	119.542	98.8713
512	82.5136	87.4627
513	101.396	98.2889
514	139.52	121.129
515	91.5712	91.1801
516	87.0906	79.4599
517	113.717	111.876
518	93.3217	102.2
519	72.0995	82.8856
520	86.6776	94.4294
521	117.834	111.466
522	87.3126	94.9822
523	106.622	99.7926
524	76.4388	81.6508
525	111.569	109.453
526	114.528	104.683
527	108.005	96.806
528	80.947	80.8478
529	103.671	103.093
530	91.812	101.407
531	95.3573	102.966
532	107.136	107.324
533	85.242	88.2602
534	91.3676	95.3341
535	167.977	190.694
536	85.085	91.4349
537	106.866	112.501
538	121.947	103.976
539	98.099	96.9473
540	71.187	81.2732
541	94.9479	93.1589
542	79.9524	94.6377
543	104.704	106.658
544	129.196	98.2358
545	99.6018	92.4581
546	86.0013	92.1471
547	89.9252	94.9578
548	98.1677	103.274
549	87.7533	89.2955
550	100.261	96.7938
551	91.4578	91.8226
552	70.7186	83.8318
553	87.304	93.6334
554	87.6715	79.6327
555	118.799	114.257
556	90.2759	88.1299
557	91.8902	87.5688
558	95.8737	88.2
559	94.4337	87.4189
560	131.345	107.233
561	85.7159	92.5378
562	72.9975	85.7762
563	82.5082	92.6005
564	78.101	79.268
565	83.7132	78.3174
566	77.6903	87.9227
567	116.043	107.887
568	94.8589	107.319
569	74.9034	73.641
570	98.0472	90.9222
571	81.3128	97.8925
572	87.4547	89.9242
573	100.631	102.349
574	77.1959	84.5949
575	98.5794	97.7767
576	69.8109	84.2284
577	73.4269	79.9404
578	89.0665	96.6498
579	119.781	123.798
580	101.899	97.6209
581	95.4915	100.673
582	72.256	75.8959
583	125.567	126.391
584	88.5887	89.1434
585	77.4669	84.9508
586	106.206	94.6345
587	74.7105	74.9067
588	84.9705	87.0756
589	94.3976	97.0848
590	86.3293	84.4356
591	114.238	103.703
592	98.6306	97.403
593	155.327	143.885
594	80.3951	88.561
595	65.1156	72.6804
596	92.2194	103.136
597	100.703	96.5781
598	80.4208	81.9298
599	106.475	102.445
600	91.4406	92.3301
601	93.4247	103.72
602	83.603	87.8776
603	96.9988	95.2482
604	114.986	110.428
605	89.0757	83.6265
606	87.6199	90.8319
607	81.6128	85.3529
608	109.029	101.328
609	72.8022	87.6728
610	54.5988	62.4438
611	96.0458	104.573
612	102.574	111.162
613	89.9813	88.5188
614	85.2893	81.7251
615	125.283	122.631
616	71.1194	73.8294
617	88.3281	90.4936
618	93.0955	91.3773
619	103.911	104.436
620	72.705	78.8462
621	124.968	99.949
622	85.8429	83.0371
623	66.2674	73.4099
624	104.683	108.408
625	119.663	113.775
626	87.2144	91.4628
627	87.3403	85.2343
628	108.915	113.399
629	106.674	103.384
630	73.6831	70.8138
631	111.128	111.08
632	97.8172	103.241
633	63.6199	70.9312
634	99.4904	92.1495
635	84.4711	78.1947
636	98.6751	108.031
637	94.5775	84.7038
638	96.9083	92.4088
639	105.486	90.4673
640	185.854	139.1
641	74.9173	77.7004
642	85.5695	79.907
643	106.041	109.72
644	99.2063	93.3464
645	79.565	82.4009
646	67.2606	78.5408
647	96.9997	97.6966
648	96.9766	100.388
649	201.259	169.166
650	96.2261	83.8647
651	101.059	95.9756
652	105.189	98.1605
653	85.4734	91.7408
654	92.9531	87.9105
655	62.4234	67.7299
656	92.8776	89.3775
657	103.62	120.862
658	97.6169	101.624
659	64.7381	78.4736
660	71.1739	82.3919
661	76.7088	80.2295
662	84.8958	84.9072
663	64.4959	67.2649
664	95.9997	91.3301
665	97.0991	100.045
666	77.2735	75.2174
667	108.732	114.475
668	91.5514	97.6857
669	113.623	117.696
670	97.9555	97.8667
671	95.6334	103
672	79.857	76.4769
673	81.2536	75.4332
674	83.0366	90.3836
675	91.997	91.1244
676	92.7878	85.9489
677	90.2641	88.5669
678	115.296	109.57
679	72.9073	75.3511
680	86.3853	96.1902
681	86.2669	87.6688
682	73.5897	80.7524
683	104.194	98.7923
684	84.4782	85.0167
685	87.3713	78.7324
686	93.7524	96.5608
687	91.4867	89.0043
688	99.4823	107.289
689	102.841	100.583
690	99.5541	95.6493
691	105.517	106.837
692	112.829	109.675
693	75.5449	86.3453
694	79.1766	79.6428
695	95.4953	88.8557
696	87.1638	83.1406
697	87.8963	87.1969
698	83.0215	89.8573
699	99.1966	95.9994
700	99.6008	108.58
701	70.9328	78.1105
702	100.378	102.365
703	91.7448	90.4289
704	105.323	97.5106
705	74.1652	83.1956
706	98.2586	111.019
707	94.3102	86.7108
708	90.5094	82.5753
709	102.668	103.106
710	149.519	115.637
711	84.1213	86.318
712	108.641	104.862
713	86.1724	88.6434
714	87.6042	90.4363
715	152.174	115.977
716	105.533	102.704
717	91.9383	91.9124
718	92.262	95.246
719	140.72	119.923
720	84.2676	79.6404
721	58.1562	69.9218
722	144.437	120.375
723	79.1226	89.3077
724	94.3015	91.3604
725	97.4918	90.6021
726	80.887	89.742
727	79.3007	74.325
728	90.4167	100.077
729	84.3285	76.7729
730	97.0046	101.108
731	85.4963	89.4813
732	124.069	115.193
733	86.3745	104.901
734	75.0906	84.9182
735	100	106.249
736	106.958	116.25
737	94.3742	101.031
738	150.221	112.462
739	146.017	125.725
740	90.5653	96.5693
741	68.9918	75.3617
742	150.087	165.821
743	68.2122	67.8002
744	66.7165	75.8504
745	84.018	78.1737
746	80.7776	91.2745
747	98.5079	99.4357
748	81.6251	85.4611
749	79.6713	91.9956
750	66.8425	79.0441
751	158.842	172.798
752	106.429	105.569
753	96.7473	93.0677
754	94.9078	100.326
755	92.0702	91.6828
756	82.4982	79.6522
757	72.7836	81.1088
758	138.591	115.184
759	115.827	116.793
760	100.317	105.814
761	62.7325	70.7037
762	96.8444	97.2826
763	98.7228	96.769
764	80.066	86.7236
765	85.4323	88.4394
766	88.1826	86.8901
767	94.9723	99.9691
768	99.9229	99.7547
769	99.1666	92.1488
770	77.3357	88.0563
771	85.0129	85.4978
772	72.4876	74.1625
773	114.564	99.0975
774	98.3174	96.2079
775	104.634	102.297
776	176.887	139.194
777	81.7602	80.6518

.

Combined gen 1 and gen 2 rarity scores

Top 3 rare aliens for both calculations are drastically different.

Rarity Score (top 3)	Rarity Score Normalized (top 3)
Space Alien #376	Space Alien #535
Space Alien #228	Space Alien #453
Space Alien #206	Space Alien #751

Be careful using this rarity list since combining 2 different generations of traits can be error-prone.

A discord user @dh_ did their own computation and pointed out that my combined set rarity scores don’t match their own. For example: Space Alien #376 has Eyes: Alien Red this attribute should show up as follows:

• gen1: 24/444*100=5.41%
• gen2: 15/333*100=4.50%

However, in my combined rarity list below Alien Red is computed as 24/777*100=3.09% instead of 39/777*100=5.02%. Why? Considering that most of the attributes between the 2 generations are different ( even if they use the same value e.g. Alien Red) and based on feedback from Space Alien team, I believe the 2 sets of metadata can not be combined.

For Space Alien project, I believe Rarity Score Normalized means a better weight/distribution of scores.

Furthermore, I would also consider Rarity Score to be less useful for this specific project.

The decision always falls on you as the person looking at rarity scores. As usual, buy art you like ;)

Alien #	Rarity Score	Rarity Score Normalized
1	371.022	265.784
2	356.84	270.877
3	512.743	382.532
4	216.571	201.014
5	261.729	237.187
6	240.767	244.854
7	281.535	231.885
8	155.242	171.317
9	315.728	281.138
10	461.224	341.984
11	335.35	279.595
12	497.434	420.085
13	319.319	250.925
14	308.688	275.213
15	363.339	277.354
16	427.772	312.154
17	345.239	251.934
18	222.836	201.049
19	591.942	413.495
20	363.731	287.715
21	566.735	423.141
22	336.056	272.264
23	374.764	273.669
24	223.457	208.068
25	564.547	424.122
26	242.237	205.754
27	270.092	224.063
28	229.949	244.452
29	223.576	212.311
30	339.797	273.038
31	299.302	265.246
32	373.686	275.893
33	302.652	248.781
34	335.629	253.353
35	384.794	301.796
36	419.106	335.524
37	282.732	239.836
38	256.536	224.777
39	327.31	257.539
40	294.187	247.411
41	470.965	320.351
42	221.516	219.009
43	480.046	329.531
44	281.208	257.578
45	344.872	282.207
46	381.011	296.574
47	373.067	291.717
48	435.489	293.575
49	302.592	286.273
50	297.189	301.67
51	245.418	206.56
52	284.561	245.41
53	457.349	347.173
54	380.084	279.094
55	174.801	194.974
56	255.16	244.052
57	187.457	185.414
58	349.761	273.771
59	359.293	282.786
60	185.019	185.836
61	351.809	299.054
62	259.384	248.402
63	269.272	250.356
64	263.542	218.93
65	455.823	328.411
66	496.374	342.855
67	351.552	256.266
68	209.025	213.504
69	204.004	203.267
70	630.007	371.763
71	229.059	234.704
72	259.421	231.88
73	359.114	278.645
74	243.328	227.811
75	204.373	223.53
76	276.484	240.889
77	473.551	343.718
78	266.86	244.954
79	278.766	238.181
80	369.591	307.036
81	360.615	265.15
82	286.379	237.939
83	203.001	204.159
84	386.772	284.932
85	305.15	258.557
86	175.221	177.397
87	278.719	231.236
88	413.567	313.478
89	439.726	305.335
90	349.845	303.359
91	372.954	296.324
92	314.835	249.666
93	403.708	291.41
94	195.846	204.168
95	216.092	217.528
96	384.523	271.602
97	341.628	281.864
98	338.115	297.228
99	286.221	255.72
100	350.286	324.838
101	391.04	296.261
102	353.833	288.594
103	586.86	392.562
104	282.436	235.243
105	303.134	252.713
106	306.252	246.936
107	329.827	258.776
108	368.776	298.716
109	422.523	345.5
110	396.063	317.998
111	435.679	321.443
112	279.666	225.642
113	314.289	258.457
114	290.592	255.234
115	235.681	227.934
116	516.943	322.293
117	392.7	336.733
118	364.086	306.598
119	180.227	187.266
120	315.242	261.899
121	377.233	284.121
122	433.883	345.681
123	608.177	408.955
124	592.019	442.886
125	296.078	251.418
126	558.816	373.135
127	317.456	276.375
128	383.992	265.105
129	337.526	285.169
130	266.092	235.959
131	252.288	210.673
132	369.301	276.868
133	225.767	202.679
134	409.693	310.114
135	340.722	276.875
136	234.131	225.549
137	228.002	198.139
138	416.412	293.728
139	294.127	247.887
140	280.318	225.115
141	209.886	223.993
142	252.02	246.617
143	324.094	269.259
144	471.694	332.248
145	233.545	211.843
146	303.578	243.877
147	221.461	211.447
148	369.225	279.863
149	269.309	227.135
150	357.94	288.38
151	545.479	368.916
152	568.038	451.588
153	405.503	304.095
154	270.912	219.794
155	401.148	308.671
156	184.989	201.379
157	415.819	300.703
158	281.488	241.644
159	342.042	280.225
160	309.35	246.456
161	377.475	287.627
162	296.15	256.178
163	167.05	180.385
164	238.459	222.691
165	383.453	295.221
166	250.007	205.08
167	241.284	241.041
168	301.602	247.695
169	251.298	219.147
170	388.161	302.874
171	292.421	243.513
172	308.064	260.025
173	426.709	295.353
174	205.62	221.769
175	336.026	282.209
176	714.508	423.081
177	348.839	258.063
178	272.316	230.708
179	460.957	358.016
180	408.087	307.197
181	302.22	256.936
182	250.238	244.52
183	346.046	259.365
184	170.111	185.475
185	246.781	236.349
186	356.094	265.238
187	220.852	219.155
188	405.95	343.955
189	209.459	181.638
190	312.535	233.691
191	458.508	314.318
192	247.85	223.847
193	562.026	334.524
194	366.351	287.971
195	481.166	334.015
196	326.73	244.7
197	340.155	302.247
198	351.523	273.701
199	249.3	211.096
200	274.809	238.515
201	246.008	250.981
202	350.02	269.934
203	419.386	326.778
204	361.074	267.801
205	300.563	256.481
206	727.96	474.119
207	416.656	303.689
208	181.305	189.226
209	307.082	228.985
210	213.645	208.653
211	514.631	347.757
212	268.711	232.298
213	240.935	255.056
214	389.518	323.238
215	322.952	252.932
216	307.016	259.658
217	212.543	209.554
218	279.737	246.656
219	392.149	308.947
220	359.853	273.486
221	442.459	300.344
222	266.996	229.039
223	440.707	315.141
224	358.976	326.479
225	441.791	288.741
226	313.098	241.381
227	253.91	219.561
228	770.177	560.355
229	475.104	373.886
230	325.869	247.235
231	384.217	303.46
232	407.001	319.726
233	217.954	209.644
234	253.188	234.95
235	614.685	409.585
236	304.01	257.42
237	303.564	263.138
238	200.484	201.665
239	204.464	183.198
240	300.545	262.383
241	245.431	237.617
242	427.14	353.409
243	255.557	222.837
244	377.648	276.417
245	247.828	244.749
246	429.292	298.505
247	253.079	217.313
248	318.428	253.344
249	436.126	363.943
250	285.384	234.119
251	378.267	282.591
252	252.964	245.602
253	335.468	263.02
254	236.614	220.894
255	219.71	232.053
256	348	258.133
257	248.073	228.75
258	444.779	297.167
259	265.409	241.723
260	432.851	312.028
261	394.763	274.759
262	261.142	224.527
263	240.317	206.268
264	221.152	223.075
265	261.241	239.049
266	341.527	255.798
267	498.005	357.384
268	466.704	312.21
269	282.16	248.118
270	221.435	195.283
271	348.605	270.789
272	301.3	266.157
273	350.898	274.342
274	331.234	285.212
275	490.45	393.432
276	321.263	266.147
277	374.146	274.393
278	226.661	214.622
279	654.113	435.788
280	282.297	258.092
281	167.642	193.064
282	359.304	272.581
283	365.996	280.312
284	435.038	332.691
285	376.833	286.302
286	476.803	320.105
287	279.544	247.426
288	235.883	215.393
289	688.802	409.176
290	320.556	268.133
291	244.378	221.749
292	282.103	239.105
293	359.496	275.972
294	299.634	253.227
295	301.674	255.626
296	283.596	244.389
297	246.123	226.05
298	275.316	249.409
299	196.078	215.151
300	312.893	263.505
301	329.731	258.431
302	489.966	323.106
303	655.226	512.651
304	290.508	265.076
305	648.003	533.673
306	287.469	235.019
307	285.956	262.823
308	274.347	243.685
309	362.099	296.225
310	525.356	355.532
311	450.557	339.796
312	395.47	279.46
313	677.045	433.244
314	614.037	486.41
315	429.464	351.646
316	397.746	289.579
317	286.705	245.029
318	366.125	279.353
319	382.034	294.359
320	391.938	276.886
321	198.461	199.164
322	365.805	302.108
323	364.171	295.465
324	320.864	261.565
325	475.698	345.471
326	416.602	304.945
327	196.283	204.879
328	275.819	244.31
329	164.025	182.913
330	409.619	300.368
331	367.881	276.204
332	435.471	357.944
333	400.678	318.82
334	270.25	211.838
335	301.928	271.065
336	231.224	217.614
337	400.677	279.105
338	425.243	344.881
339	351.177	280.74
340	187.03	199.254
341	654.199	431.299
342	424.885	307.208
343	306.179	249.605
344	402.167	302.695
345	235.995	208.367
346	352.045	258.108
347	311.791	247.759
348	553.326	325.157
349	253.09	213.839
350	372.454	306.4
351	408.551	287.319
352	327.426	237.289
353	700.335	512.997
354	185.087	204.101
355	185.129	197.351
356	354.834	253.846
357	361.261	318.536
358	460.546	388.464
359	469.007	338.938
360	248.65	196.757
361	337.018	272.539
362	672.404	393.657
363	314.31	236.026
364	415.778	327.209
365	599.011	439.478
366	279.187	236.297
367	400.241	326.689
368	403.88	309.43
369	387.273	298.555
370	447.423	315.89
371	327.199	276.9
372	459.998	321.109
373	300.759	259.301
374	292.518	264.296
375	418.778	291.589
376	992.18	529.101
377	471.385	328.111
378	305.631	256.596
379	253.209	235.571
380	280.217	257.613
381	332.636	260.998
382	462.092	330.786
383	349.533	272.908
384	602.606	449.229
385	267.342	233.978
386	417.704	338.778
387	258.211	221.133
388	222.714	215.933
389	316.364	261.775
390	378.292	324.563
391	619.979	357.339
392	356.918	267.488
393	289.57	261.267
394	279.107	238.74
395	232.893	214.504
396	262.022	232.458
397	426.072	321.162
398	258.679	237.2
399	258.245	235.166
400	475.306	333.914
401	246.843	206.771
402	188.511	188.359
403	296.274	247.21
404	241.335	224.974
405	422.273	298.715
406	256.797	218.645
407	328.73	245.159
408	183.019	187.754
409	268.931	246.16
410	188.197	183.195
411	377.101	300.045
412	318.415	241.631
413	504.009	341.591
414	360.146	303.262
415	358.389	273.412
416	361.873	306.816
417	288.74	262.234
418	504.827	353.879
419	415.086	300.003
420	160.303	173.147
421	372.14	277.497
422	393.814	304.928
423	338.007	250.4
424	351.707	276.392
425	422.427	311.841
426	280.313	232.599
427	281.81	257.105
428	348.343	261.011
429	306.765	275.802
430	428.534	308.551
431	233.772	244.66
432	369.889	290.031
433	255.623	242.996
434	189.994	206.752
435	389.183	309.572
436	354.357	261.42
437	246.975	212.485
438	402.413	315.682
439	307.306	256.986
440	334.327	281.096
441	342.569	271.481
442	683.824	422.296
443	368.152	297.209
444	154.344	169.756
445	224.389	311.504
446	230.062	356.937
447	214.8	311.868
448	259.892	343.562
449	263.427	335.092
450	233.702	328.743
451	414.154	449.434
452	192.637	264.502
453	386.839	607.899
454	204.469	275.991
455	257.22	352.321
456	257.238	379.808
457	249.516	373.167
458	218.659	329.502
459	234.17	301.916
460	218.205	298.135
461	231.471	309.712
462	250.911	309.696
463	258.113	376.549
464	169.443	242.479
465	188.912	279.278
466	252.215	321.409
467	187.518	281.245
468	235.473	335.084
469	195.879	275.215
470	345.18	429.968
471	222.443	319.536
472	206.419	265.153
473	255.535	364.8
474	273.243	389.34
475	260.478	376.778
476	230.343	340.082
477	254.359	361.203
478	236.473	394.74
479	220.477	290.762
480	180.967	269.594
481	210.528	281.347
482	252.432	367.941
483	220.61	283.868
484	243.714	368.559
485	217.646	350.015
486	261.102	372.402
487	211.235	301.683
488	239.48	340.82
489	192.039	256.169
490	241.425	350.679
491	173.32	228.887
492	228.685	318.304
493	249.814	342.671
494	203.241	279.837
495	219.283	325.211
496	277.28	352.069
497	218.653	308.691
498	194.967	295.359
499	200.512	267.445
500	244.001	351.021
501	205.713	269.251
502	323.95	426.678
503	219.392	300.975
504	281.342	361.596
505	243.858	298.113
506	224.864	315.82
507	245.452	361.006
508	211.945	270.724
509	204.034	261.58
510	219.758	317.926
511	296.265	350.396
512	209.865	303.775
513	253.924	343.484
514	342.881	425.727
515	231	317.513
516	220.545	279.193
517	282.674	390.964
518	235.084	354.506
519	185.565	285.985
520	219.581	328.355
521	292.28	392.305
522	221.063	330.16
523	266.119	350.933
524	195.69	283.07
525	277.662	382.412
526	284.565	369.415
527	269.345	338.802
528	206.21	283.016
529	259.232	361.594
530	231.561	351.664
531	239.834	358.132
532	267.317	374.298
533	216.231	306.499
534	230.524	331.957
535	409.279	664.856
536	215.865	316.922
537	266.688	391.756
538	301.876	368.064
539	246.231	340.72
540	183.436	280.652
541	238.879	326.417
542	203.889	327.123
543	261.642	371.938
544	318.791	348.737
545	249.738	324.637
546	218.003	320.15
547	227.159	332.03
548	246.391	359.351
549	222.091	312.523
550	251.275	337.491
551	230.735	321.52
552	182.344	289.319
553	221.043	325.017
554	221.9	280.301
555	294.53	400.631
556	227.977	307.167
557	231.744	307.241
558	241.039	310.639
559	237.679	307.276
560	323.804	377.833
561	217.337	320.883
562	187.661	295.977
563	209.852	322.775
564	199.569	277.214
565	212.664	275.342
566	198.611	303.427
567	288.101	378.225
568	238.671	371.42
569	192.108	257.944
570	246.11	319.993
571	207.063	337.733
572	221.394	314.265
573	252.138	356.444
574	197.457	292.669
575	247.352	340.949
576	180.225	290.04
577	188.663	276.828
578	225.155	335.932
579	296.821	432.316
580	255.097	340.857
581	240.147	349.532
582	185.931	264.488
583	310.324	441.476
584	224.04	311.936
585	198.089	294.199
586	265.148	333.344
587	191.658	262.004
588	215.598	304.711
589	237.594	337.957
590	218.768	296.673
591	283.888	365.662
592	247.471	339.448
593	379.762	506.424
594	204.922	306.62
595	169.27	253.02
596	232.512	357.262
597	252.306	339.097
598	204.982	285.046
599	265.775	359.633
600	230.695	321.714
601	235.324	359.568
602	212.407	305.12
603	243.664	332.565
604	285.634	388.439
605	225.177	293.962
606	221.78	315.751
607	207.763	296.414
608	271.735	354.318
609	187.205	302.244
610	144.731	216.204
611	241.44	363.157
612	256.672	386.646
613	227.29	310.462
614	216.342	287.002
615	309.66	429.602
616	183.279	257.401
617	223.432	316.69
618	234.556	318.354
619	259.792	364.071
620	186.978	273.189
621	308.926	352.633
622	217.633	291.507
623	171.957	255.223
624	261.593	377.79
625	296.548	398.472
626	220.834	318.225
627	221.127	299.072
628	271.469	395.773
629	266.24	360.219
630	189.26	247.775
631	276.632	387.395
632	245.574	360.215
633	165.78	246.849
634	249.478	324.053
635	214.433	274.702
636	247.575	374.525
637	238.014	297.889
638	243.453	322.905
639	263.467	318.915
640	450.993	495.976
641	192.14	271.29
642	216.995	280.707
643	264.762	384.548
644	248.815	326.128
645	202.985	286.473
646	174.275	271.197
647	243.666	340.33
648	243.612	350.306
649	486.939	599.005
650	241.861	295.421
651	253.137	336.085
652	262.774	345.224
653	216.771	318.301
654	234.224	308.468
655	162.988	235.755
656	234.048	314.267
657	259.113	418.886
658	245.106	354.12
659	168.389	269.805
660	183.406	284.364
661	196.321	279.585
662	215.424	295.504
663	167.824	234.702
664	241.333	320.543
665	243.898	347.932
666	197.638	263.595
667	271.041	399.085
668	230.953	339.417
669	282.454	410.199
670	245.896	341.548
671	240.478	357.726
672	203.666	268.388
673	206.925	265.279
674	211.085	313.854
675	231.993	319.147
676	233.838	302.65
677	227.95	308.959
678	286.358	385.828
679	187.45	262.604
680	218.899	333.37
681	218.623	304.704
682	189.043	281.105
683	260.453	347.718
684	214.449	297.033
685	221.2	277.326
686	236.089	336.053
687	230.802	312.231
688	249.459	373.169
689	257.296	353.485
690	249.626	336.116
691	263.539	374.817
692	280.6	384.146
693	193.605	298.65
694	202.079	278.423
695	240.156	312.135
696	220.716	291.485
697	222.425	303.538
698	211.05	311.3
699	248.792	336.925
700	249.735	377.624
701	182.843	269.908
702	251.549	358.579
703	231.405	315.492
704	263.086	343.25
705	190.386	289.708
706	246.603	383.835
707	237.391	305.327
708	228.522	290.133
709	256.891	361.324
710	366.21	410.743
711	213.616	300.146
712	270.829	367.755
713	218.402	308.337
714	221.743	314.315
715	372.406	412.763
716	263.578	359.155
717	231.856	322.005
718	232.611	331.654
719	345.681	422.184
720	213.958	279.215
721	153.031	240.149
722	354.352	425.795
723	201.953	308.722
724	237.37	320.541
725	244.814	318.998
726	206.07	310.662
727	202.368	260.796
728	228.306	346.854
729	214.1	270.299
730	243.677	352.129
731	216.825	310.658
732	306.827	403.768
733	218.874	361.385
734	192.545	295.477
735	250.668	369.476
736	266.902	403.346
737	237.54	351.056
738	367.849	400.711
739	358.04	444.36
740	228.652	335.472
741	178.314	260.51
742	367.537	580.729
743	176.495	236.993
744	173.005	263.604
745	213.375	274.614
746	205.814	315.476
747	247.185	346.094
748	207.792	296.876
749	203.233	317.569
750	173.299	272.632
751	387.965	606.008
752	265.668	370.263
753	243.077	324.467
754	238.785	348.838
755	232.164	319.581
756	209.829	279.237
757	187.162	280.783
758	340.711	405.758
759	287.596	409.206
760	251.406	368.467
761	163.709	245.514
762	243.304	339.268
763	247.687	338.034
764	204.154	300.925
765	216.675	307.366
766	223.093	304.735
767	238.935	347.397
768	250.487	350.298
769	248.722	324.204
770	197.783	304.585
771	215.697	299.571
772	186.471	259.107
773	284.65	350.145
774	246.741	335.719
775	261.48	359.201
776	430.07	496.651
777	208.107	282.397