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Start amount organization specification #88

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@nopara73 nopara73 commented Dec 7, 2020

I added a document to kick off our amount organization specification. I'm proposing to first define the most typical target user, then collect their problems/objectives and specify alternative approaches on how we could start out building the scheme.

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nopara73 commented Dec 7, 2020

I think it'd also make sense to constrain this initial discussion between @nothingmuch @seresistvanandras @MaxHillebrand @lontivero and @molnard based on the "too many cooks spoil the soup" principle. In fact, this is already too many people to hope to get agreement on so keep that in mind and be more cooperative than usual.

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nopara73 commented Dec 11, 2020

Pow2

Number of users:        40
Number of inputs:       50
Number of outputs:      329
Total in:               12.80436976 BTC
Fee paid:               0.00163568 BTC
Size:                   14307 vbyte
Fee rate:               11 sats/vbyte

There are 15 occurrences of     0.00001024 BTC output.
There are 22 occurrences of     0.00002048 BTC output.
There are 16 occurrences of     0.00004096 BTC output.
There are 26 occurrences of     0.00008192 BTC output.
There are 25 occurrences of     0.00016384 BTC output.
There are 26 occurrences of     0.00032768 BTC output.
There are 23 occurrences of     0.00065536 BTC output.
There are 28 occurrences of     0.00131072 BTC output.
There are 20 occurrences of     0.00262144 BTC output.
There are 19 occurrences of     0.00524288 BTC output.
There are 22 occurrences of     0.01048576 BTC output.
There are 23 occurrences of     0.02097152 BTC output.
There are 19 occurrences of     0.04194304 BTC output.
There are 16 occurrences of     0.08388608 BTC output.
There are 14 occurrences of     0.16777216 BTC output.
There are 8 occurrences of      0.33554432 BTC output.
There are 7 occurrences of      0.67108864 BTC output.

Pow3

Number of users:        40
Number of inputs:       50
Number of outputs:      399
Total in:               12.80336537 BTC
Fee paid:               0.00183236 BTC
Size:                   16617 vbyte
Fee rate:               11 sats/vbyte

There are 25 occurrences of     0.00000729 BTC output.
There are 38 occurrences of     0.00002187 BTC output.
There are 48 occurrences of     0.00006561 BTC output.
There are 51 occurrences of     0.00019683 BTC output.
There are 43 occurrences of     0.00059049 BTC output.
There are 45 occurrences of     0.00177147 BTC output.
There are 35 occurrences of     0.00531441 BTC output.
There are 48 occurrences of     0.01594323 BTC output.
There are 30 occurrences of     0.04782969 BTC output.
There are 20 occurrences of     0.14348907 BTC output.
There are 15 occurrences of     0.43046721 BTC output.
There are 1 occurrences of      0.96926523 BTC output.

Pow10

Number of users:        40
Number of inputs:       50
Number of outputs:      826
Total in:               12.06759032 BTC
Fee paid:               0.00329032 BTC
Size:                   30708 vbyte
Fee rate:               10 sats/vbyte

There are 110 occurrences of    0.00001 BTC output.
There are 242 occurrences of    0.0001 BTC output.
There are 209 occurrences of    0.001 BTC output.
There are 193 occurrences of    0.01 BTC output.
There are 69 occurrences of     0.1 BTC output.
There are 3 occurrences of      1 BTC output.

Pow10 + Pow10 * 2 + Pow10 * 5

Number of users:        40
Number of inputs:       50
Number of outputs:      323
Total in:               12.80431032 BTC
Fee paid:               0.00161032 BTC
Size:                   14109 vbyte
Fee rate:               11 sats/vbyte

There are 16 occurrences of     0.00001 BTC output.
There are 22 occurrences of     0.00002 BTC output.
There are 22 occurrences of     0.00005 BTC output.
There are 13 occurrences of     0.0001 BTC output.
There are 46 occurrences of     0.0002 BTC output.
There are 29 occurrences of     0.0005 BTC output.
There are 12 occurrences of     0.001 BTC output.
There are 37 occurrences of     0.002 BTC output.
There are 22 occurrences of     0.005 BTC output.
There are 12 occurrences of     0.01 BTC output.
There are 38 occurrences of     0.02 BTC output.
There are 16 occurrences of     0.05 BTC output.
There are 9 occurrences of      0.1 BTC output.
There are 20 occurrences of     0.2 BTC output.
There are 6 occurrences of      0.5 BTC output.
There are 3 occurrences of      1 BTC output.

Pow3 + Pow3 * 2

Number of users:        40
Number of inputs:       50
Number of outputs:      252
Total in:               13.66530581 BTC
Fee paid:               0.00135073 BTC
Size:                   11766 vbyte
Fee rate:               11 sats/vbyte

There are 1 occurrences of      0.00001034 BTC output.
There are 2 occurrences of      0.00001044 BTC output.
There are 1 occurrences of      0.00001054 BTC output.
There are 1 occurrences of      0.00001256 BTC output.
There are 1 occurrences of      0.00001386 BTC output.
There are 1 occurrences of      0.00001424 BTC output.
There are 1 occurrences of      0.00001425 BTC output.
There are 5 occurrences of      0.00001458 BTC output.
There are 15 occurrences of     0.00002187 BTC output.
There are 7 occurrences of      0.00004374 BTC output.
There are 9 occurrences of      0.00006561 BTC output.
There are 18 occurrences of     0.00013122 BTC output.
There are 11 occurrences of     0.00019683 BTC output.
There are 21 occurrences of     0.00039366 BTC output.
There are 16 occurrences of     0.00059049 BTC output.
There are 12 occurrences of     0.00118098 BTC output.
There are 9 occurrences of      0.00177147 BTC output.
There are 18 occurrences of     0.00354294 BTC output.
There are 12 occurrences of     0.00531441 BTC output.
There are 10 occurrences of     0.01062882 BTC output.
There are 17 occurrences of     0.01594323 BTC output.
There are 15 occurrences of     0.03188646 BTC output.
There are 14 occurrences of     0.04782969 BTC output.
There are 8 occurrences of      0.09565938 BTC output.
There are 10 occurrences of     0.14348907 BTC output.
There are 4 occurrences of      0.28697814 BTC output.
There are 6 occurrences of      0.43046721 BTC output.
There are 7 occurrences of      0.86093442 BTC output.

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I've added some more information to look at.

Summary

outputs avg out anon
pow2 325 11.34
pow3 362 15.51
pow10 855 22.09
1-2-5 339 10.86
pow3 + 2pow3 250 8.01

Pow 2

WARNING! Dust happened: 812 sats
WARNING! Dust happened: 958 sats
WARNING! Dust happened: 826 sats
WARNING! Dust happened: 46 sats
WARNING! Dust happened: 982 sats
WARNING! Dust happened: 290 sats
WARNING! Dust happened: 127 sats
WARNING! Dust happened: 443 sats
WARNING! Dust happened: 510 sats
WARNING! Dust happened: 1243 sats
WARNING! Dust happened: 760 sats
WARNING! Dust happened: 413 sats
WARNING! Dust happened: 738 sats
WARNING! Dust happened: 564 sats
WARNING! Dust happened: 162 sats
WARNING! Dust happened: 544 sats
WARNING! Dust happened: 255 sats
WARNING! Dust happened: 96 sats
WARNING! Dust happened: 120 sats
WARNING! Dust happened: 474 sats
WARNING! Dust happened: 958 sats
WARNING! Dust happened: 786 sats
WARNING! Dust happened: 82 sats
WARNING! Dust happened: 966 sats
WARNING! Dust happened: 42 sats
WARNING! Dust happened: 156 sats
WARNING! Dust happened: 745 sats
WARNING! Dust happened: 29 sats
WARNING! Dust happened: 234 sats
WARNING! Dust happened: 234 sats
WARNING! Dust happened: 393 sats
WARNING! Dust happened: 746 sats
WARNING! Dust happened: 380 sats
WARNING! Dust happened: 644 sats
WARNING! Dust happened: 83 sats
WARNING! Dust happened: 199 sats
WARNING! Dust happened: 854 sats
WARNING! Dust happened: 918 sats
WARNING! Dust happened: 11 sats
WARNING! Dust happened: 82 sats
WARNING! Dust happened: 812 sats
WARNING! Dust happened: 958 sats
WARNING! Dust happened: 826 sats
WARNING! Dust happened: 46 sats
WARNING! Dust happened: 982 sats
WARNING! Dust happened: 290 sats
WARNING! Dust happened: 127 sats
WARNING! Dust happened: 443 sats
WARNING! Dust happened: 510 sats
WARNING! Dust happened: 1243 sats
WARNING! Dust happened: 760 sats
WARNING! Dust happened: 413 sats
WARNING! Dust happened: 738 sats
WARNING! Dust happened: 564 sats
WARNING! Dust happened: 162 sats
WARNING! Dust happened: 544 sats
WARNING! Dust happened: 255 sats
WARNING! Dust happened: 96 sats
WARNING! Dust happened: 120 sats
WARNING! Dust happened: 474 sats
WARNING! Dust happened: 958 sats
WARNING! Dust happened: 786 sats
WARNING! Dust happened: 82 sats
WARNING! Dust happened: 966 sats
WARNING! Dust happened: 42 sats
WARNING! Dust happened: 156 sats
WARNING! Dust happened: 745 sats
WARNING! Dust happened: 29 sats
WARNING! Dust happened: 234 sats
WARNING! Dust happened: 234 sats
WARNING! Dust happened: 393 sats
WARNING! Dust happened: 746 sats
WARNING! Dust happened: 380 sats
WARNING! Dust happened: 644 sats
WARNING! Dust happened: 83 sats
WARNING! Dust happened: 199 sats
WARNING! Dust happened: 854 sats
WARNING! Dust happened: 918 sats
WARNING! Dust happened: 11 sats
WARNING! Dust happened: 82 sats

There are 1 occurrences of      0.01848313 BTC input.
There are 1 occurrences of      0.0194841 BTC input.
There are 1 occurrences of      0.02020243 BTC input.
There are 1 occurrences of      0.02030696 BTC input.
There are 1 occurrences of      0.02289497 BTC input.
There are 1 occurrences of      0.02574 BTC input.
There are 1 occurrences of      0.02766859 BTC input.
There are 1 occurrences of      0.03617434 BTC input.
There are 1 occurrences of      0.03664 BTC input.
There are 1 occurrences of      0.03783852 BTC input.
There are 1 occurrences of      0.03809751 BTC input.
There are 1 occurrences of      0.03819741 BTC input.
There are 1 occurrences of      0.04218863 BTC input.
There are 1 occurrences of      0.04939903 BTC input.
There are 1 occurrences of      0.05759726 BTC input.
There are 1 occurrences of      0.06770116 BTC input.
There are 1 occurrences of      0.07842962 BTC input.
There are 1 occurrences of      0.08387328 BTC input.
There are 1 occurrences of      0.08483363 BTC input.
There are 1 occurrences of      0.09384782 BTC input.
There are 1 occurrences of      0.09855 BTC input.
There are 1 occurrences of      0.09856 BTC input.
There are 1 occurrences of      0.09857402 BTC input.
There are 1 occurrences of      0.1 BTC input.
There are 1 occurrences of      0.10005246 BTC input.
There are 1 occurrences of      0.11 BTC input.
There are 1 occurrences of      0.16165793 BTC input.
There are 1 occurrences of      0.17986944 BTC input.
There are 2 occurrences of      0.19 BTC input.
There are 1 occurrences of      0.21096318 BTC input.
There are 1 occurrences of      0.2134 BTC input.
There are 1 occurrences of      0.23 BTC input.
There are 1 occurrences of      0.230896 BTC input.
There are 1 occurrences of      0.23535265 BTC input.
There are 1 occurrences of      0.23680988 BTC input.
There are 1 occurrences of      0.3 BTC input.
There are 1 occurrences of      0.32165117 BTC input.
There are 2 occurrences of      0.49999436 BTC input.
There are 4 occurrences of      0.5 BTC input.
There are 1 occurrences of      0.59208661 BTC input.
There are 1 occurrences of      0.78301949 BTC input.
There are 1 occurrences of      0.9 BTC input.
There are 1 occurrences of      0.9855 BTC input.
There are 1 occurrences of      1.1229 BTC input.
There are 1 occurrences of      2.26074237 BTC input.

There are 17 occurrences of     0.00001024 BTC output.
There are 21 occurrences of     0.00002048 BTC output.
There are 19 occurrences of     0.00004096 BTC output.
There are 21 occurrences of     0.00008192 BTC output.
There are 26 occurrences of     0.00016384 BTC output.
There are 18 occurrences of     0.00032768 BTC output.
There are 23 occurrences of     0.00065536 BTC output.
There are 26 occurrences of     0.00131072 BTC output.
There are 25 occurrences of     0.00262144 BTC output.
There are 15 occurrences of     0.00524288 BTC output.
There are 23 occurrences of     0.01048576 BTC output.
There are 23 occurrences of     0.02097152 BTC output.
There are 20 occurrences of     0.04194304 BTC output.
There are 18 occurrences of     0.08388608 BTC output.
There are 15 occurrences of     0.16777216 BTC output.
There are 6 occurrences of      0.33554432 BTC output.
There are 7/9 unique/total occurrences of       0.67108864 BTC output.

Number of users:        40
Number of inputs:       50
Number of outputs:      325
Total in:               13.85017231 BTC
Fee paid:               0.00160655 BTC
Size:                   14175 vbyte
Fee rate:               11 sats/vbyte
Average anonset:        6.44
Average input anonset:  1.53
Average output anonset: 11.34

Pow 3

WARNING! Dust happened: 199 sats
WARNING! Dust happened: 88 sats
WARNING! Dust happened: 82 sats
WARNING! Dust happened: 842 sats
WARNING! Dust happened: 149 sats
WARNING! Dust happened: 1561 sats
WARNING! Dust happened: 287 sats
WARNING! Dust happened: 2046 sats
WARNING! Dust happened: 1035 sats
WARNING! Dust happened: 1428 sats
WARNING! Dust happened: 615 sats
WARNING! Dust happened: 1678 sats
WARNING! Dust happened: 1180 sats
WARNING! Dust happened: 292 sats
WARNING! Dust happened: 212 sats
WARNING! Dust happened: 237 sats
WARNING! Dust happened: 44 sats
WARNING! Dust happened: 1422 sats
WARNING! Dust happened: 1307 sats
WARNING! Dust happened: 1095 sats
WARNING! Dust happened: 434 sats
WARNING! Dust happened: 1440 sats
WARNING! Dust happened: 2245 sats
WARNING! Dust happened: 1560 sats
WARNING! Dust happened: 35 sats
WARNING! Dust happened: 1495 sats
WARNING! Dust happened: 1012 sats
WARNING! Dust happened: 962 sats
WARNING! Dust happened: 2510 sats
WARNING! Dust happened: 2510 sats
WARNING! Dust happened: 724 sats
WARNING! Dust happened: 1620 sats
WARNING! Dust happened: 987 sats
WARNING! Dust happened: 396 sats
WARNING! Dust happened: 1254 sats
WARNING! Dust happened: 844 sats
WARNING! Dust happened: 208 sats
WARNING! Dust happened: 2276 sats
WARNING! Dust happened: 1193 sats
WARNING! Dust happened: 2245 sats
WARNING! Dust happened: 199 sats
WARNING! Dust happened: 88 sats
WARNING! Dust happened: 82 sats
WARNING! Dust happened: 842 sats
WARNING! Dust happened: 149 sats
WARNING! Dust happened: 1561 sats
WARNING! Dust happened: 287 sats
WARNING! Dust happened: 2046 sats
WARNING! Dust happened: 1035 sats
WARNING! Dust happened: 1428 sats
WARNING! Dust happened: 615 sats
WARNING! Dust happened: 1678 sats
WARNING! Dust happened: 1180 sats
WARNING! Dust happened: 292 sats
WARNING! Dust happened: 212 sats
WARNING! Dust happened: 237 sats
WARNING! Dust happened: 44 sats
WARNING! Dust happened: 1422 sats
WARNING! Dust happened: 1307 sats
WARNING! Dust happened: 1095 sats
WARNING! Dust happened: 434 sats
WARNING! Dust happened: 1440 sats
WARNING! Dust happened: 2245 sats
WARNING! Dust happened: 1560 sats
WARNING! Dust happened: 35 sats
WARNING! Dust happened: 1495 sats
WARNING! Dust happened: 1012 sats
WARNING! Dust happened: 962 sats
WARNING! Dust happened: 2510 sats
WARNING! Dust happened: 2510 sats
WARNING! Dust happened: 724 sats
WARNING! Dust happened: 1620 sats
WARNING! Dust happened: 987 sats
WARNING! Dust happened: 396 sats
WARNING! Dust happened: 1254 sats
WARNING! Dust happened: 844 sats
WARNING! Dust happened: 208 sats
WARNING! Dust happened: 2276 sats
WARNING! Dust happened: 1193 sats
WARNING! Dust happened: 2245 sats

There are 1 occurrences of      0.01848313 BTC input.
There are 1 occurrences of      0.0194841 BTC input.
There are 1 occurrences of      0.02020243 BTC input.
There are 1 occurrences of      0.02030696 BTC input.
There are 1 occurrences of      0.02289497 BTC input.
There are 1 occurrences of      0.02574 BTC input.
There are 1 occurrences of      0.02766859 BTC input.
There are 1 occurrences of      0.03617434 BTC input.
There are 1 occurrences of      0.03664 BTC input.
There are 1 occurrences of      0.03783852 BTC input.
There are 1 occurrences of      0.03809751 BTC input.
There are 1 occurrences of      0.03819741 BTC input.
There are 1 occurrences of      0.04218863 BTC input.
There are 1 occurrences of      0.04939903 BTC input.
There are 1 occurrences of      0.05759726 BTC input.
There are 1 occurrences of      0.06770116 BTC input.
There are 1 occurrences of      0.07842962 BTC input.
There are 1 occurrences of      0.08387328 BTC input.
There are 1 occurrences of      0.08483363 BTC input.
There are 1 occurrences of      0.09384782 BTC input.
There are 1 occurrences of      0.09855 BTC input.
There are 1 occurrences of      0.09856 BTC input.
There are 1 occurrences of      0.09857402 BTC input.
There are 1 occurrences of      0.1 BTC input.
There are 1 occurrences of      0.10005246 BTC input.
There are 1 occurrences of      0.11 BTC input.
There are 1 occurrences of      0.16165793 BTC input.
There are 1 occurrences of      0.17986944 BTC input.
There are 2 occurrences of      0.19 BTC input.
There are 1 occurrences of      0.21096318 BTC input.
There are 1 occurrences of      0.2134 BTC input.
There are 1 occurrences of      0.23 BTC input.
There are 1 occurrences of      0.230896 BTC input.
There are 1 occurrences of      0.23535265 BTC input.
There are 1 occurrences of      0.23680988 BTC input.
There are 1 occurrences of      0.3 BTC input.
There are 1 occurrences of      0.32165117 BTC input.
There are 2 occurrences of      0.49999436 BTC input.
There are 4 occurrences of      0.5 BTC input.
There are 1 occurrences of      0.59208661 BTC input.
There are 1 occurrences of      0.78301949 BTC input.
There are 1 occurrences of      0.9 BTC input.
There are 1 occurrences of      0.9855 BTC input.
There are 1 occurrences of      1.1229 BTC input.
There are 1 occurrences of      2.26074237 BTC input.

There are 29/41 unique/total occurrences of     0.00002187 BTC output.
There are 26/38 unique/total occurrences of     0.00006561 BTC output.
There are 33/49 unique/total occurrences of     0.00019683 BTC output.
There are 25/36 unique/total occurrences of     0.00059049 BTC output.
There are 30/43 unique/total occurrences of     0.00177147 BTC output.
There are 23/35 unique/total occurrences of     0.00531441 BTC output.
There are 28/43 unique/total occurrences of     0.01594323 BTC output.
There are 28/41 unique/total occurrences of     0.04782969 BTC output.
There are 13/16 unique/total occurrences of     0.14348907 BTC output.
There are 12/20 unique/total occurrences of     0.43046721 BTC output.

Number of users:        40
Number of inputs:       50
Number of outputs:      362
Total in:               13.85017231 BTC
Fee paid:               0.00195709 BTC
Size:                   15396 vbyte
Fee rate:               12 sats/vbyte
Average anonset:        8.52
Average input anonset:  1.53
Average output anonset: 15.51

Pow 10

WARNING! Dust happened: 670 sats
WARNING! Dust happened: 124 sats
WARNING! Dust happened: 1186 sats
WARNING! Dust happened: 1222 sats
WARNING! Dust happened: 40 sats
WARNING! Dust happened: 1064 sats
WARNING! Dust happened: 273 sats
WARNING! Dust happened: 575 sats
WARNING! Dust happened: 396 sats
WARNING! Dust happened: 1167 sats
WARNING! Dust happened: 1040 sats
WARNING! Dust happened: 1219 sats
WARNING! Dust happened: 784 sats
WARNING! Dust happened: 710 sats
WARNING! Dust happened: 766 sats
WARNING! Dust happened: 368 sats
WARNING! Dust happened: 1083 sats
WARNING! Dust happened: 730 sats
WARNING! Dust happened: 472 sats
WARNING! Dust happened: 236 sats
WARNING! Dust happened: 380 sats
WARNING! Dust happened: 354 sats
WARNING! Dust happened: 400 sats
WARNING! Dust happened: 338 sats
WARNING! Dust happened: 720 sats
WARNING! Dust happened: 630 sats
WARNING! Dust happened: 285 sats
WARNING! Dust happened: 467 sats
WARNING! Dust happened: 100 sats
WARNING! Dust happened: 100 sats
WARNING! Dust happened: 31 sats
WARNING! Dust happened: 110 sats
WARNING! Dust happened: 730 sats
WARNING! Dust happened: 700 sats
WARNING! Dust happened: 287 sats
WARNING! Dust happened: 1273 sats
WARNING! Dust happened: 496 sats
WARNING! Dust happened: 1172 sats
WARNING! Dust happened: 483 sats
WARNING! Dust happened: 400 sats
WARNING! Dust happened: 670 sats
WARNING! Dust happened: 124 sats
WARNING! Dust happened: 1186 sats
WARNING! Dust happened: 1222 sats
WARNING! Dust happened: 40 sats
WARNING! Dust happened: 1064 sats
WARNING! Dust happened: 273 sats
WARNING! Dust happened: 575 sats
WARNING! Dust happened: 396 sats
WARNING! Dust happened: 1167 sats
WARNING! Dust happened: 1040 sats
WARNING! Dust happened: 1219 sats
WARNING! Dust happened: 784 sats
WARNING! Dust happened: 710 sats
WARNING! Dust happened: 766 sats
WARNING! Dust happened: 368 sats
WARNING! Dust happened: 1083 sats
WARNING! Dust happened: 730 sats
WARNING! Dust happened: 472 sats
WARNING! Dust happened: 236 sats
WARNING! Dust happened: 380 sats
WARNING! Dust happened: 354 sats
WARNING! Dust happened: 400 sats
WARNING! Dust happened: 338 sats
WARNING! Dust happened: 720 sats
WARNING! Dust happened: 630 sats
WARNING! Dust happened: 285 sats
WARNING! Dust happened: 467 sats
WARNING! Dust happened: 100 sats
WARNING! Dust happened: 100 sats
WARNING! Dust happened: 31 sats
WARNING! Dust happened: 110 sats
WARNING! Dust happened: 730 sats
WARNING! Dust happened: 700 sats
WARNING! Dust happened: 287 sats
WARNING! Dust happened: 1273 sats
WARNING! Dust happened: 496 sats
WARNING! Dust happened: 1172 sats
WARNING! Dust happened: 483 sats
WARNING! Dust happened: 400 sats

There are 1 occurrences of      0.01848313 BTC input.
There are 1 occurrences of      0.0194841 BTC input.
There are 1 occurrences of      0.02020243 BTC input.
There are 1 occurrences of      0.02030696 BTC input.
There are 1 occurrences of      0.02289497 BTC input.
There are 1 occurrences of      0.02574 BTC input.
There are 1 occurrences of      0.02766859 BTC input.
There are 1 occurrences of      0.03617434 BTC input.
There are 1 occurrences of      0.03664 BTC input.
There are 1 occurrences of      0.03783852 BTC input.
There are 1 occurrences of      0.03809751 BTC input.
There are 1 occurrences of      0.03819741 BTC input.
There are 1 occurrences of      0.04218863 BTC input.
There are 1 occurrences of      0.04939903 BTC input.
There are 1 occurrences of      0.05759726 BTC input.
There are 1 occurrences of      0.06770116 BTC input.
There are 1 occurrences of      0.07842962 BTC input.
There are 1 occurrences of      0.08387328 BTC input.
There are 1 occurrences of      0.08483363 BTC input.
There are 1 occurrences of      0.09384782 BTC input.
There are 1 occurrences of      0.09855 BTC input.
There are 1 occurrences of      0.09856 BTC input.
There are 1 occurrences of      0.09857402 BTC input.
There are 1 occurrences of      0.1 BTC input.
There are 1 occurrences of      0.10005246 BTC input.
There are 1 occurrences of      0.11 BTC input.
There are 1 occurrences of      0.16165793 BTC input.
There are 1 occurrences of      0.17986944 BTC input.
There are 2 occurrences of      0.19 BTC input.
There are 1 occurrences of      0.21096318 BTC input.
There are 1 occurrences of      0.2134 BTC input.
There are 1 occurrences of      0.23 BTC input.
There are 1 occurrences of      0.230896 BTC input.
There are 1 occurrences of      0.23535265 BTC input.
There are 1 occurrences of      0.23680988 BTC input.
There are 1 occurrences of      0.3 BTC input.
There are 1 occurrences of      0.32165117 BTC input.
There are 2 occurrences of      0.49999436 BTC input.
There are 4 occurrences of      0.5 BTC input.
There are 1 occurrences of      0.59208661 BTC input.
There are 1 occurrences of      0.78301949 BTC input.
There are 1 occurrences of      0.9 BTC input.
There are 1 occurrences of      0.9855 BTC input.
There are 1 occurrences of      1.1229 BTC input.
There are 1 occurrences of      2.26074237 BTC input.

There are 31/117 unique/total occurrences of    0.00001 BTC output.
There are 37/236 unique/total occurrences of    0.0001 BTC output.
There are 36/212 unique/total occurrences of    0.001 BTC output.
There are 38/201 unique/total occurrences of    0.01 BTC output.
There are 25/86 unique/total occurrences of     0.1 BTC output.
There are 2/3 unique/total occurrences of       1 BTC output.

Number of users:        40
Number of inputs:       50
Number of outputs:      855
Total in:               13.85017231 BTC
Fee paid:               0.00340231 BTC
Size:                   31665 vbyte
Fee rate:               10 sats/vbyte
Average anonset:        11.81
Average input anonset:  1.53
Average output anonset: 22.09

1-2-5 (Pow 10 + Pow 10 * 2 + Pow 10 * 5)

WARNING! Dust happened: 1310 sats
WARNING! Dust happened: 1074 sats
WARNING! Dust happened: 436 sats
WARNING! Dust happened: 172 sats
WARNING! Dust happened: 1010 sats
WARNING! Dust happened: 364 sats
WARNING! Dust happened: 583 sats
WARNING! Dust happened: 525 sats
WARNING! Dust happened: 346 sats
WARNING! Dust happened: 807 sats
WARNING! Dust happened: 660 sats
WARNING! Dust happened: 859 sats
WARNING! Dust happened: 434 sats
EUREKA! Perfect mix!
WARNING! Dust happened: 56 sats
WARNING! Dust happened: 338 sats
WARNING! Dust happened: 33 sats
WARNING! Dust happened: 670 sats
WARNING! Dust happened: 742 sats
WARNING! Dust happened: 566 sats
WARNING! Dust happened: 340 sats
WARNING! Dust happened: 954 sats
WARNING! Dust happened: 680 sats
WARNING! Dust happened: 318 sats
WARNING! Dust happened: 10 sats
WARNING! Dust happened: 270 sats
WARNING! Dust happened: 265 sats
WARNING! Dust happened: 117 sats
WARNING! Dust happened: 350 sats
WARNING! Dust happened: 350 sats
WARNING! Dust happened: 991 sats
WARNING! Dust happened: 20 sats
WARNING! Dust happened: 1010 sats
WARNING! Dust happened: 340 sats
WARNING! Dust happened: 1237 sats
WARNING! Dust happened: 243 sats
WARNING! Dust happened: 786 sats
WARNING! Dust happened: 122 sats
WARNING! Dust happened: 793 sats
WARNING! Dust happened: 680 sats
WARNING! Dust happened: 1310 sats
WARNING! Dust happened: 1074 sats
WARNING! Dust happened: 436 sats
WARNING! Dust happened: 172 sats
WARNING! Dust happened: 1010 sats
WARNING! Dust happened: 364 sats
WARNING! Dust happened: 583 sats
WARNING! Dust happened: 525 sats
WARNING! Dust happened: 346 sats
WARNING! Dust happened: 807 sats
WARNING! Dust happened: 660 sats
WARNING! Dust happened: 859 sats
WARNING! Dust happened: 434 sats
EUREKA! Perfect mix!
WARNING! Dust happened: 56 sats
WARNING! Dust happened: 338 sats
WARNING! Dust happened: 33 sats
WARNING! Dust happened: 670 sats
WARNING! Dust happened: 742 sats
WARNING! Dust happened: 566 sats
WARNING! Dust happened: 340 sats
WARNING! Dust happened: 954 sats
WARNING! Dust happened: 680 sats
WARNING! Dust happened: 318 sats
WARNING! Dust happened: 10 sats
WARNING! Dust happened: 270 sats
WARNING! Dust happened: 265 sats
WARNING! Dust happened: 117 sats
WARNING! Dust happened: 350 sats
WARNING! Dust happened: 350 sats
WARNING! Dust happened: 991 sats
WARNING! Dust happened: 20 sats
WARNING! Dust happened: 1010 sats
WARNING! Dust happened: 340 sats
WARNING! Dust happened: 1237 sats
WARNING! Dust happened: 243 sats
WARNING! Dust happened: 786 sats
WARNING! Dust happened: 122 sats
WARNING! Dust happened: 793 sats
WARNING! Dust happened: 680 sats

There are 1 occurrences of      0.01848313 BTC input.
There are 1 occurrences of      0.0194841 BTC input.
There are 1 occurrences of      0.02020243 BTC input.
There are 1 occurrences of      0.02030696 BTC input.
There are 1 occurrences of      0.02289497 BTC input.
There are 1 occurrences of      0.02574 BTC input.
There are 1 occurrences of      0.02766859 BTC input.
There are 1 occurrences of      0.03617434 BTC input.
There are 1 occurrences of      0.03664 BTC input.
There are 1 occurrences of      0.03783852 BTC input.
There are 1 occurrences of      0.03809751 BTC input.
There are 1 occurrences of      0.03819741 BTC input.
There are 1 occurrences of      0.04218863 BTC input.
There are 1 occurrences of      0.04939903 BTC input.
There are 1 occurrences of      0.05759726 BTC input.
There are 1 occurrences of      0.06770116 BTC input.
There are 1 occurrences of      0.07842962 BTC input.
There are 1 occurrences of      0.08387328 BTC input.
There are 1 occurrences of      0.08483363 BTC input.
There are 1 occurrences of      0.09384782 BTC input.
There are 1 occurrences of      0.09855 BTC input.
There are 1 occurrences of      0.09856 BTC input.
There are 1 occurrences of      0.09857402 BTC input.
There are 1 occurrences of      0.1 BTC input.
There are 1 occurrences of      0.10005246 BTC input.
There are 1 occurrences of      0.11 BTC input.
There are 1 occurrences of      0.16165793 BTC input.
There are 1 occurrences of      0.17986944 BTC input.
There are 2 occurrences of      0.19 BTC input.
There are 1 occurrences of      0.21096318 BTC input.
There are 1 occurrences of      0.2134 BTC input.
There are 1 occurrences of      0.23 BTC input.
There are 1 occurrences of      0.230896 BTC input.
There are 1 occurrences of      0.23535265 BTC input.
There are 1 occurrences of      0.23680988 BTC input.
There are 1 occurrences of      0.3 BTC input.
There are 1 occurrences of      0.32165117 BTC input.
There are 2 occurrences of      0.49999436 BTC input.
There are 4 occurrences of      0.5 BTC input.
There are 1 occurrences of      0.59208661 BTC input.
There are 1 occurrences of      0.78301949 BTC input.
There are 1 occurrences of      0.9 BTC input.
There are 1 occurrences of      0.9855 BTC input.
There are 1 occurrences of      1.1229 BTC input.
There are 1 occurrences of      2.26074237 BTC input.

There are 18 occurrences of     0.00001 BTC output.
There are 18/21 unique/total occurrences of     0.00002 BTC output.
There are 20 occurrences of     0.00005 BTC output.
There are 19 occurrences of     0.0001 BTC output.
There are 25/35 unique/total occurrences of     0.0002 BTC output.
There are 32 occurrences of     0.0005 BTC output.
There are 15 occurrences of     0.001 BTC output.
There are 25/36 unique/total occurrences of     0.002 BTC output.
There are 25 occurrences of     0.005 BTC output.
There are 18 occurrences of     0.01 BTC output.
There are 29/39 unique/total occurrences of     0.02 BTC output.
There are 21 occurrences of     0.05 BTC output.
There are 12 occurrences of     0.1 BTC output.
There are 13/17 unique/total occurrences of     0.2 BTC output.
There are 8 occurrences of      0.5 BTC output.
There are 2/3 unique/total occurrences of       1 BTC output.

Number of users:        40
Number of inputs:       50
Number of outputs:      339
Total in:               13.85017231 BTC
Fee paid:               0.00167231 BTC
Size:                   14637 vbyte
Fee rate:               11 sats/vbyte
Average anonset:        6.2
Average input anonset:  1.53
Average output anonset: 10.86

Pow 3 + Pow 3 * 2

WARNING! Dust happened: 859 sats
WARNING! Dust happened: 1078 sats
WARNING! Dust happened: 1732 sats
WARNING! Dust happened: 374 sats
WARNING! Dust happened: 809 sats
WARNING! Dust happened: 34 sats
WARNING! Dust happened: 947 sats
WARNING! Dust happened: 849 sats
WARNING! Dust happened: 1695 sats
WARNING! Dust happened: 300 sats
WARNING! Dust happened: 1275 sats
WARNING! Dust happened: 550 sats
WARNING! Dust happened: 313 sats
WARNING! Dust happened: 1282 sats
WARNING! Dust happened: 542 sats
WARNING! Dust happened: 360 sats
WARNING! Dust happened: 1364 sats
WARNING! Dust happened: 294 sats
WARNING! Dust happened: 440 sats
WARNING! Dust happened: 1755 sats
WARNING! Dust happened: 1754 sats
WARNING! Dust happened: 573 sats
WARNING! Dust happened: 1048 sats
WARNING! Dust happened: 363 sats
WARNING! Dust happened: 695 sats
WARNING! Dust happened: 298 sats
WARNING! Dust happened: 214 sats
WARNING! Dust happened: 755 sats
WARNING! Dust happened: 323 sats
WARNING! Dust happened: 323 sats
WARNING! Dust happened: 1384 sats
WARNING! Dust happened: 423 sats
WARNING! Dust happened: 780 sats
WARNING! Dust happened: 1716 sats
WARNING! Dust happened: 387 sats
WARNING! Dust happened: 1504 sats
WARNING! Dust happened: 868 sats
WARNING! Dust happened: 1409 sats
WARNING! Dust happened: 1523 sats
WARNING! Dust happened: 1048 sats
WARNING! Dust happened: 859 sats
WARNING! Dust happened: 1078 sats
WARNING! Dust happened: 1732 sats
WARNING! Dust happened: 374 sats
WARNING! Dust happened: 809 sats
WARNING! Dust happened: 34 sats
WARNING! Dust happened: 947 sats
WARNING! Dust happened: 849 sats
WARNING! Dust happened: 1695 sats
WARNING! Dust happened: 300 sats
WARNING! Dust happened: 1275 sats
WARNING! Dust happened: 550 sats
WARNING! Dust happened: 313 sats
WARNING! Dust happened: 1282 sats
WARNING! Dust happened: 542 sats
WARNING! Dust happened: 360 sats
WARNING! Dust happened: 1364 sats
WARNING! Dust happened: 294 sats
WARNING! Dust happened: 440 sats
WARNING! Dust happened: 1755 sats
WARNING! Dust happened: 1754 sats
WARNING! Dust happened: 573 sats
WARNING! Dust happened: 1048 sats
WARNING! Dust happened: 363 sats
WARNING! Dust happened: 695 sats
WARNING! Dust happened: 298 sats
WARNING! Dust happened: 214 sats
WARNING! Dust happened: 755 sats
WARNING! Dust happened: 323 sats
WARNING! Dust happened: 323 sats
WARNING! Dust happened: 1384 sats
WARNING! Dust happened: 423 sats
WARNING! Dust happened: 780 sats
WARNING! Dust happened: 1716 sats
WARNING! Dust happened: 387 sats
WARNING! Dust happened: 1504 sats
WARNING! Dust happened: 868 sats
WARNING! Dust happened: 1409 sats
WARNING! Dust happened: 1523 sats
WARNING! Dust happened: 1048 sats

There are 1 occurrences of      0.01848313 BTC input.
There are 1 occurrences of      0.0194841 BTC input.
There are 1 occurrences of      0.02020243 BTC input.
There are 1 occurrences of      0.02030696 BTC input.
There are 1 occurrences of      0.02289497 BTC input.
There are 1 occurrences of      0.02574 BTC input.
There are 1 occurrences of      0.02766859 BTC input.
There are 1 occurrences of      0.03617434 BTC input.
There are 1 occurrences of      0.03664 BTC input.
There are 1 occurrences of      0.03783852 BTC input.
There are 1 occurrences of      0.03809751 BTC input.
There are 1 occurrences of      0.03819741 BTC input.
There are 1 occurrences of      0.04218863 BTC input.
There are 1 occurrences of      0.04939903 BTC input.
There are 1 occurrences of      0.05759726 BTC input.
There are 1 occurrences of      0.06770116 BTC input.
There are 1 occurrences of      0.07842962 BTC input.
There are 1 occurrences of      0.08387328 BTC input.
There are 1 occurrences of      0.08483363 BTC input.
There are 1 occurrences of      0.09384782 BTC input.
There are 1 occurrences of      0.09855 BTC input.
There are 1 occurrences of      0.09856 BTC input.
There are 1 occurrences of      0.09857402 BTC input.
There are 1 occurrences of      0.1 BTC input.
There are 1 occurrences of      0.10005246 BTC input.
There are 1 occurrences of      0.11 BTC input.
There are 1 occurrences of      0.16165793 BTC input.
There are 1 occurrences of      0.17986944 BTC input.
There are 2 occurrences of      0.19 BTC input.
There are 1 occurrences of      0.21096318 BTC input.
There are 1 occurrences of      0.2134 BTC input.
There are 1 occurrences of      0.23 BTC input.
There are 1 occurrences of      0.230896 BTC input.
There are 1 occurrences of      0.23535265 BTC input.
There are 1 occurrences of      0.23680988 BTC input.
There are 1 occurrences of      0.3 BTC input.
There are 1 occurrences of      0.32165117 BTC input.
There are 2 occurrences of      0.49999436 BTC input.
There are 4 occurrences of      0.5 BTC input.
There are 1 occurrences of      0.59208661 BTC input.
There are 1 occurrences of      0.78301949 BTC input.
There are 1 occurrences of      0.9 BTC input.
There are 1 occurrences of      0.9855 BTC input.
There are 1 occurrences of      1.1229 BTC input.
There are 1 occurrences of      2.26074237 BTC input.

There are 5 occurrences of      0.00001458 BTC output.
There are 18 occurrences of     0.00002187 BTC output.
There are 8 occurrences of      0.00004374 BTC output.
There are 10 occurrences of     0.00006561 BTC output.
There are 15 occurrences of     0.00013122 BTC output.
There are 16 occurrences of     0.00019683 BTC output.
There are 16 occurrences of     0.00039366 BTC output.
There are 15 occurrences of     0.00059049 BTC output.
There are 11 occurrences of     0.00118098 BTC output.
There are 17 occurrences of     0.00177147 BTC output.
There are 13 occurrences of     0.00354294 BTC output.
There are 11 occurrences of     0.00531441 BTC output.
There are 12 occurrences of     0.01062882 BTC output.
There are 13 occurrences of     0.01594323 BTC output.
There are 15 occurrences of     0.03188646 BTC output.
There are 15 occurrences of     0.04782969 BTC output.
There are 13 occurrences of     0.09565938 BTC output.
There are 10 occurrences of     0.14348907 BTC output.
There are 3 occurrences of      0.28697814 BTC output.
There are 8 occurrences of      0.43046721 BTC output.
There are 5/6 unique/total occurrences of       0.86093442 BTC output.

Number of users:        40
Number of inputs:       50
Number of outputs:      250
Total in:               13.85017231 BTC
Fee paid:               0.00151240 BTC
Size:                   11700 vbyte
Fee rate:               12 sats/vbyte
Average anonset:        4.77
Average input anonset:  1.53
Average output anonset: 8.01

@nopara73
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Blockspace efficiency:

POW2
0.22, 0.34, 0.41, 0.33, 0.22, 0.37, 0.25, 0.33, 0.34, 0.22, 0.34, 0.17, 0.21, 0.31, 0.44, 0.41, 0.32, 0.28, 0.22, 0.26, 0.35, 0.32, 0.28, 0.28, 0.26, 0.38, 0.21, 0.27, 0.17, 0.36, 0.23, 0.32, 0.25, 0.32, 0.23, 0.19, 0.33, 0.37, 0.42, 0.31, 0.42, 0.33, 0.37, 0.34, 0.34, 0.3, 0.27, 0.15, 0.32, 0.15, 0.27, 0.19, 0.35, 0.3, 0.24, 0.17, 0.29, 0.32, 0.34, 0.26, 0.25, 0.32, 0.24, 0.35, 0.23, 0.21, 0.33, 0.21, 0.28, 0.29, 0.4, 0.25, 0.22, 0.34, 0.21, 0.41, 0.39, 0.38, 0.34, 0.2, 0.16, 0.28, 0.31, 0.15, 0.3, 0.51, 0.27, 0.19, 0.3, 0.32, 0.23, 0.28, 0.35, 0.27, 0.49, 0.32, 0.32, 0.49, 0.48, 0.39
Avg: 0.3
Med: 0.3

POW3
0.46, 0.26, 0.15, 0.22, 0.23, 0.22, 0.33, 0.16, 0.24, 0.58, 0.4, 0.33, 0.29, 0.3, 0.32, 0.2, 0.43, 0.31, 0.27, 0.16, 0.44, 0.32, 0.27, 0.34, 0.15, 0.4, 0.26, 0.34, 0.34, 0.19, 0.38, 0.33, 0.27, 0.29, 0.21, 0.32, 0.34, 0.3, 0.22, 0.31, 0.12, 0.16, 0.37, 0.3, 0.4, 0.26, 0.14, 0.24, 0.22, 0.42, 0.38, 0.39, 0.34, 0.39, 0.42, 0.34, 0.29, 0.44, 0.4, 0.28, 0.42, 0.36, 0.27, 0.17, 0.42, 0.27, 0.16, 0.42, 0.3, 0.23, 0.34, 0.19, 0.39, 0.25, 0.39, 0.28, 0.38, 0.51, 0.12, 0.53, 0.46, 0.26, 0.45, 0.29, 0.2, 0.3, 0.29, 0.18, 0.25, 0.48, 0.26, 0.31, 0.38, 0.36, 0.53, 0.14, 0.44, 0.31, 0.12, 0.26
Avg: 0.31
Med: 0.3

POW3 + 2POW3
0.15, 0.26, 0.3, 0.26, 0.32, 0.35, 0.27, 0.29, 0.25, 0.22, 0.21, 0.3, 0.37, 0.15, 0.17, 0.19, 0.19, 0.35, 0.32, 0.24, 0.41, 0.37, 0.25, 0.28, 0.19, 0.26, 0.33, 0.22, 0.27, 0.21, 0.27, 0.12, 0.39, 0.22, 0.21, 0.33, 0.4, 0.17, 0.18, 0.3, 0.32, 0.26, 0.35, 0.31, 0.18, 0.22, 0.44, 0.26, 0.23, 0.19, 0.16, 0.26, 0.27, 0.3, 0.39, 0.2, 0.26, 0.26, 0.22, 0.38, 0.21, 0.2, 0.17, 0.29, 0.36, 0.22, 0.35, 0.22, 0.16, 0.3, 0.24, 0.24, 0.25, 0.21, 0.31, 0.19, 0.2, 0.19, 0.47, 0.4, 0.37, 0.3, 0.26, 0.26, 0.27, 0.19, 0.29, 0.26, 0.26, 0.33, 0.34, 0.27, 0.22, 0.29, 0.37, 0.27, 0.21, 0.29, 0.23, 0.25
Avg: 0.27
Med: 0.26

POW10
0.19, 0.24, 0.33, 0.33, 0.18, 0.38, 0.39, 0.16, 0.16, 0.12, 0.2, 0.25, 0.3, 0.29, 0.25, 0.1, 0.2, 0.32, 0.11, 0.34, 0.14, 0.19, 0.16, 0.26, 0.32, 0.35, 0.22, 0.21, 0.2, 0.14, 0.26, 0.22, 0.13, 0.31, 0.08, 0.39, 0.26, 0.16, 0.12, 0.25, 0.23, 0.16, 0.16, 0.25, 0.14, 0.24, 0.13, 0.27, 0.34, 0.32, 0.21, 0.25, 0.23, 0.3, 0.09, 0.21, 0.25, 0.16, 0.17, 0.21, 0.1, 0.33, 0.13, 0.15, 0.21, 0.1, 0.32, 0.35, 0.29, 0.26, 0.32, 0.13, 0.15, 0.33, 0.21, 0.15, 0.18, 0.32, 0.18, 0.31, 0.41, 0.35, 0.36, 0.19, 0.31, 0.33, 0.17, 0.26, 0.21, 0.2, 0.21, 0.13, 0.32, 0.24, 0.2, 0.1, 0.29, 0.27, 0.18, 0.19
Avg: 0.23
Med: 0.22

1-2-5
0.21, 0.25, 0.32, 0.35, 0.43, 0.24, 0.35, 0.19, 0.33, 0.18, 0.2, 0.36, 0.27, 0.27, 0.31, 0.36, 0.25, 0.21, 0.43, 0.26, 0.31, 0.32, 0.39, 0.27, 0.23, 0.38, 0.32, 0.4, 0.45, 0.26, 0.26, 0.29, 0.33, 0.3, 0.22, 0.22, 0.26, 0.32, 0.21, 0.37, 0.27, 0.55, 0.27, 0.22, 0.33, 0.22, 0.23, 0.23, 0.24, 0.23, 0.23, 0.34, 0.24, 0.44, 0.4, 0.22, 0.19, 0.3, 0.2, 0.17, 0.29, 0.3, 0.34, 0.38, 0.3, 0.3, 0.32, 0.25, 0.4, 0.25, 0.4, 0.37, 0.18, 0.26, 0.32, 0.43, 0.25, 0.45, 0.41, 0.47, 0.22, 0.32, 0.24, 0.3, 0.19, 0.26, 0.48, 0.23, 0.31, 0.26, 0.22, 0.18, 0.26, 0.13, 0.36, 0.24, 0.41, 0.39, 0.28, 0.3
Avg: 0.3
Med: 0.28

@nopara73
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nopara73 commented Dec 17, 2020

A couple of stats to look at with our blockspace efficiency metric. 1000 runs per configuration, powers of 2, average, median, standard deviation. My last 3 findings are really strange. Note that I either made a bug or something really strange is happening we must explain.

Defaults:

  • Number of inputs: 50
  • Number of users: 40
  • Remix ratio: 0.3
  • Divisor for min probable denominations: 4

Minimum Probable Denomination (RESULTS EXPECTED)

There's a constant we can tweak based on the probable denominations. I set this based on the number of inputs/div. Div is the divisor:

image

So it looks like for pow2, if we choose div for around 4, then that's how the most blockspace efficient mixes are got.

Remix Ratio (RESULTS EXPECTED)

So I've chosen div to 4 and started tweaking the remix ratio. (This isn't something we can tweak, but it's interesting to see the results.)

image

User Ratio (RESULTS NEED EXPLANATION)

For example if user ratio is 0.1 and the input count is 50, then the user count will be 5.

image

Input Count (RESULTS NEED EXPLANATION)

Next I'll set the user count to be 4/5 of the input count (to keep it constant) and see the changes like that.

image

Input Count where Input Count = User Count (RESULTS NEED EXPLANATION)

Next I wanted to see what happens if input count is exactly the user count as the previous results surprised me.

image

Input Count where Minimum Probable Denomination = 2 (RESULTS NEED EXPLANATION)

Next I wanted to see what happens if I set the minimum probable denomination to constant 2 - and I set back the user count to be dynamic- as the previous result surprised me.

image

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4 participants