Median selection networks for a given number of inputs

The networks on this page can be used to find the median value of the inputs and are not full sorting networks.

The rows that yield the output(s) are marked in blue. For an even number of inputs, the average of the two outputs still needs to be computed by the application. Note that in this case, the two outputs are usually not ordered.
A median selection network with an even number of inputs can be converted into a "perfect halver" network by adding a single CE element connecting the two central outputs, however the networks on this page are not optimized for this.

Just like for the sorting networks list, the median selection networks have been defined in terms of two metrics:

Provided is a minimum set of networks that each can be the best choice depending on how both criteria are weighted.

The additional "cost" metric is derived from the idea that each CE can be considered as a combination of a minimizer and a maximizer.
If both results are used, its cost is 2. If one of the outputs is discarded, one of the subcomponents can be removed and the cost is 1. The "cost" metric corresponds to the number of subcomponents as described in [Sekan04].

If no source is mentioned, the network was generated by the SorterHunter program, by applying postfix networks to the evolving network and removing them from the resulting sorting network.

In many cases, networks could also be derived from other median selection networks with a slightly different number of inputs:

For questions, remarks, or to contribute improved results please contact bert.o.dobbelaere[at]telenet[dot]be.

Summary table

Number of inputs(Size,Depth) combinationsComments
3(3, 3)   For 3 inputs, the optimal median selection network is just the optimal sorting network.
4(4, 2)   
5(7, 5)   
6(10, 4)   
7(13, 6)   
8(16, 5)   
9(19, 7)   Optimality from [Smith96]
10(22, 8)   (23, 7)   (24, 6)   
11(25, 11)   (26, 8)   
12(29, 7)   
13(32, 10)   (33, 9)   Best cost is mentioned in [Sekan04] as >52, while SorterHunter reached equality (=52).
14(38, 10)   (39, 9)   (40, 8)   
15(41, 12)   (42, 11)   (43, 10)   (46, 9)   
16(46, 10)   (47, 9)   (49, 8)   
17(49, 12)   (51, 11)   (56, 10)   
18(55, 12)   (56, 10)   
19(58, 15)   (59, 12)   (60, 11)   
20(63, 12)   (64, 10)   
21(66, 15)   (67, 12)   
22(74, 14)   (75, 12)   (76, 11)   
23(77, 16)   (78, 14)   (80, 13)   (83, 12)   
24(82, 14)   (83, 12)   (86, 11)   
25(85, 16)   (86, 15)   (87, 14)   (97, 13)   In [VS08] the optimal size was listed as 99. It is assumed that this was just the best of generic construction methods. The method explained in [Adams21] also results in 99 swaps.
26(94, 16)   (95, 14)   (96, 13)   (104, 12)   
27(97, 18)   (98, 17)   (99, 15)   (102, 14)   Trimmed result starting from pairwise sorting network in [Adams21] needs 111 CEs.
28(104, 14)   (105, 13)   
29(107, 17)   (108, 16)   (115, 15)   (118, 14)   
30(118, 16)   (119, 14)   (122, 13)   
31(121, 19)   (122, 17)   (125, 15)   (128, 14)   
32(128, 14)   (132, 13)   
33(131, 17)   (135, 16)   (139, 15)   
34(140, 18)   (141, 16)   (142, 15)   (143, 14)   
35(143, 21)   (144, 19)   (145, 18)   (146, 17)   (148, 16)   
36(150, 18)   (152, 15)   
37(153, 21)   (155, 18)   (162, 17)   (168, 16)   
38(164, 17)   (166, 16)   (172, 15)   
39(167, 20)   (169, 19)   (170, 18)   (172, 17)   (178, 16)   
40(174, 17)   (176, 16)   (182, 15)   
41(177, 20)   (179, 19)   (185, 18)   (194, 17)   
42(191, 21)   (192, 17)   (198, 16)   
43(194, 24)   (195, 20)   (198, 18)   (204, 17)   
44(202, 17)   (208, 16)   
45(205, 20)   (211, 19)   (220, 18)   
46(218, 22)   (220, 20)   (222, 18)   (225, 17)   
47(221, 25)   (223, 23)   (225, 21)   (228, 19)   (232, 18)   
48(228, 22)   (230, 20)   (232, 18)   (237, 17)   
49(231, 25)   (233, 23)   (235, 21)   (240, 20)   (274, 19)   
50(245, 27)   (246, 22)   (247, 21)   (249, 20)   (272, 19)   (280, 18)   
51(248, 30)   (249, 25)   (250, 24)   (252, 23)   (253, 22)   (255, 21)   (280, 20)   (288, 19)   
52(255, 27)   (256, 22)   (257, 21)   (259, 20)   (286, 19)   (294, 18)   
53(258, 30)   (259, 25)   (260, 24)   (262, 23)   (273, 21)   (297, 20)   
54(276, 23)   (278, 22)   (279, 21)   (280, 20)   (302, 19)   
55(279, 26)   (281, 23)   (285, 21)   (309, 20)   
56(286, 23)   (288, 22)   (290, 21)   (292, 20)   (314, 19)   
57(289, 26)   (291, 25)   (293, 23)   (297, 21)   (321, 20)   
58(301, 23)   (302, 20)   (326, 19)   
59(304, 26)   (305, 23)   (309, 21)   (333, 20)   
60(313, 23)   (314, 20)   (338, 19)   
61(316, 26)   (317, 23)   (321, 21)   (345, 20)   
62(325, 23)   (326, 20)   (350, 19)   
63(328, 26)   (329, 23)   (333, 21)   (357, 20)   
64(337, 23)   (338, 20)   (362, 19)   

Individual networks:

Median selection network for 3 inputs, 3 CEs, 3 layers (cost=4):

[(0,1)]
[(1,2)]
[(0,1)]

Auto generated
Median selection network for 4 inputs, 4 CEs, 2 layers (cost=6):

[(0,1),(2,3)]
[(0,2),(1,3)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 5 inputs, 7 CEs, 5 layers (cost=10):

[(0,1),(2,3)]
[(0,2),(1,3)]
[(2,4)]
[(1,2)]
[(2,4)]

Auto generated
Median selection network for 6 inputs, 10 CEs, 4 layers (cost=16):

[(0,1),(4,5)]
[(0,5),(1,3),(2,4)]
[(0,2),(1,4),(3,5)]
[(1,2),(3,4)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 7 inputs, 13 CEs, 6 layers (cost=20):

[(0,6),(1,2),(3,4)]
[(0,2),(1,4),(3,5)]
[(0,1),(2,5),(4,6)]
[(1,3),(2,4)]
[(3,4)]
[(2,3)]

Auto generated
Median selection network for 8 inputs, 16 CEs, 5 layers (cost=26):

[(0,2),(1,3),(4,6),(5,7)]
[(0,4),(1,5),(2,6),(3,7)]
[(0,1),(2,4),(3,5),(6,7)]
[(2,3),(4,5)]
[(1,4),(3,6)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 9 inputs, 19 CEs, 7 layers (cost=30):

[(0,7),(1,2),(3,5),(4,8)]
[(0,2),(1,5),(3,8),(4,7)]
[(0,3),(1,4),(2,8),(5,7)]
[(3,4),(5,6)]
[(2,5),(4,6)]
[(2,3),(4,5)]
[(3,4)]

Auto generated
Median selection network for 10 inputs, 22 CEs, 8 layers (cost=36):

[(0,1),(3,5),(4,6),(8,9)]
[(0,3),(1,5),(4,8),(6,9)]
[(1,3),(6,8)]
[(0,6),(1,4),(3,9),(5,8)]
[(2,6),(3,7)]
[(2,3),(6,7)]
[(3,4),(5,6)]
[(3,5),(4,6)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 10 inputs, 23 CEs, 7 layers (cost=38):

[(0,9),(2,5),(4,7)]
[(0,3),(2,4),(5,7),(6,9)]
[(0,4),(1,3),(5,9),(6,8)]
[(0,2),(1,5),(4,8),(7,9)]
[(1,4),(2,6),(3,7),(5,8)]
[(3,5),(4,6)]
[(3,4),(5,6)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 10 inputs, 24 CEs, 6 layers (cost=40):

[(0,1),(2,3),(4,5),(6,7),(8,9)]
[(0,5),(1,8),(2,6),(3,7),(4,9)]
[(0,2),(1,4),(3,6),(5,8),(7,9)]
[(2,7),(3,5),(4,6)]
[(1,2),(3,4),(5,6),(7,8)]
[(2,4),(5,7)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 11 inputs, 25 CEs, 11 layers (cost=40):

[(0,1),(2,3),(4,5),(6,7),(8,9)]
[(0,2),(1,3),(4,6),(5,7)]
[(1,2),(5,6)]
[(0,5),(1,4),(2,7),(3,6)]
[(2,5),(3,4)]
[(2,8),(4,9)]
[(8,10)]
[(3,8),(5,10)]
[(4,5)]
[(4,8)]
[(5,8)]

Auto generated
Median selection network for 11 inputs, 26 CEs, 8 layers (cost=42):

[(0,1),(2,3),(4,5),(6,7),(8,9)]
[(0,6),(1,5),(2,4),(3,7),(8,10)]
[(0,8),(3,10),(4,6),(5,7)]
[(1,3),(4,9),(6,10)]
[(1,8),(2,4),(3,6),(5,9)]
[(3,5),(4,8)]
[(3,8),(5,6)]
[(5,8)]

Auto generated
Median selection network for 12 inputs, 29 CEs, 7 layers (cost=48):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11)]
[(0,4),(1,10),(2,9),(5,6),(7,11)]
[(2,6),(3,7),(4,8),(5,9)]
[(1,5),(2,8),(3,9),(6,10)]
[(3,5),(6,8)]
[(3,6),(5,8)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 13 inputs, 32 CEs, 10 layers (cost=52):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11)]
[(0,8),(1,9),(2,4),(3,5),(6,10),(7,11)]
[(0,6),(1,7),(3,4),(8,10),(9,11)]
[(2,6),(3,10),(4,8),(5,9)]
[(1,3),(4,6),(7,8)]
[(3,12),(5,6)]
[(3,5),(6,12)]
[(5,7),(6,10)]
[(5,6)]
[(6,7)]

Auto generated
Median selection network for 13 inputs, 33 CEs, 9 layers (cost=54):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11)]
[(0,8),(1,10),(2,9),(3,11),(5,12)]
[(1,4),(2,12),(3,6),(5,10),(7,9)]
[(2,5),(3,12),(4,7)]
[(3,8),(4,5),(6,12),(7,10)]
[(5,8),(6,7)]
[(6,8)]
[(5,6)]

Auto generated
Median selection network for 14 inputs, 38 CEs, 10 layers (cost=64):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,9),(2,10),(3,11),(4,13)]
[(0,12),(1,13),(4,6),(7,9)]
[(0,4),(1,10),(3,12),(5,7),(6,8),(9,13)]
[(1,8),(2,4),(5,12),(9,11)]
[(1,5),(3,4),(8,12),(9,10)]
[(3,5),(4,9),(8,10)]
[(4,6),(7,9)]
[(5,7),(6,8)]
[(5,6),(7,8)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 14 inputs, 39 CEs, 9 layers (cost=66):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]
[(1,6),(3,8),(5,10),(7,12)]
[(1,4),(3,7),(6,10),(9,12)]
[(0,4),(2,6),(7,11),(9,13)]
[(0,3),(2,5),(4,7),(6,9),(8,11),(10,13)]
[(3,5),(4,6),(7,9),(8,10)]
[(5,7),(6,8)]
[(5,6),(7,8)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 14 inputs, 40 CEs, 8 layers (cost=68):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,7),(1,12),(2,8),(3,9),(4,10),(5,11),(6,13)]
[(0,1),(2,4),(3,8),(5,10),(9,11),(12,13)]
[(0,11),(1,9),(2,13),(4,12),(5,6),(7,8)]
[(0,4),(1,5),(3,6),(7,10),(8,12),(9,13)]
[(3,5),(4,7),(6,9),(8,10)]
[(5,6),(7,8)]
[(5,7),(6,8)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 15 inputs, 41 CEs, 12 layers (cost=68):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,12),(1,13),(2,8),(3,9),(10,14)]
[(3,11),(10,12)]
[(2,10),(3,6),(5,11),(7,12)]
[(0,3),(4,10),(5,6),(7,8),(9,12)]
[(1,5),(3,10),(6,13),(8,11)]
[(1,3),(5,8),(6,10)]
[(3,7),(5,14),(6,9)]
[(4,7),(5,6),(8,14),(9,10)]
[(6,7),(8,9)]
[(6,8)]
[(7,8)]

Auto generated
Median selection network for 15 inputs, 42 CEs, 11 layers (cost=70):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11)]
[(0,11),(1,14),(2,5),(6,9)]
[(0,4),(1,12),(5,10),(7,11),(13,14)]
[(1,8),(6,12),(7,14),(9,13)]
[(2,6),(3,13),(4,8),(5,9),(10,12)]
[(3,7),(6,9),(8,10)]
[(3,4),(5,6),(7,8),(9,10)]
[(4,9),(6,7)]
[(4,7)]
[(7,9)]

Auto generated
Median selection network for 15 inputs, 43 CEs, 10 layers (cost=72):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,5),(1,11),(3,13),(6,12),(8,10),(9,14)]
[(0,10),(1,12),(2,8),(3,11),(4,9),(5,7)]
[(0,6),(1,10),(5,14),(7,13),(9,12)]
[(1,4),(3,5),(6,8),(9,10),(11,14)]
[(2,6),(4,8),(5,9),(7,10),(11,12)]
[(3,4),(5,6),(7,11),(8,9)]
[(4,6),(7,8)]
[(6,7),(8,11)]
[(7,8)]

Auto generated
Median selection network for 15 inputs, 46 CEs, 9 layers (cost=78):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14)]
[(0,12),(1,13),(2,14),(4,8),(5,9),(6,10),(7,11)]
[(0,4),(1,6),(2,5),(3,8),(7,12),(9,14),(10,13)]
[(1,4),(3,7),(5,6),(8,12),(9,10),(11,14)]
[(2,4),(5,10),(6,7),(8,9),(11,13)]
[(4,5),(6,8),(7,9),(10,11)]
[(5,8),(7,10)]
[(7,8)]

Constructed from N+1 case
Auto generated
Median selection network for 16 inputs, 46 CEs, 10 layers (cost=78):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[(0,6),(2,4),(9,15),(11,13)]
[(4,9),(6,11)]
[(1,9),(3,11),(4,12),(6,14)]
[(0,4),(1,10),(2,6),(3,8),(5,14),(7,12),(9,13),(11,15)]
[(1,12),(3,14),(4,7),(5,6),(8,11),(9,10)]
[(1,3),(4,5),(6,7),(8,9),(10,11),(12,14)]
[(3,5),(6,8),(7,9),(10,12)]
[(5,8),(7,10)]
[(5,7),(8,10)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 16 inputs, 47 CEs, 9 layers (cost=80):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15)]
[(0,6),(1,2),(3,5),(9,15),(10,12),(13,14)]
[(0,8),(1,9),(2,12),(3,13),(4,10),(5,11),(6,14),(7,15)]
[(1,10),(2,6),(3,8),(5,14),(7,12),(9,13)]
[(5,7),(8,10)]
[(2,8),(5,9),(6,10),(7,13)]
[(5,8),(6,9),(7,10)]
[(6,8),(7,9)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 16 inputs, 49 CEs, 8 layers (cost=84):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15)]
[(0,12),(1,13),(2,14),(3,15),(4,8),(5,9),(6,10),(7,11)]
[(0,4),(1,6),(2,5),(3,8),(7,12),(9,14),(10,13),(11,15)]
[(1,4),(3,7),(5,6),(8,12),(9,10),(11,14)]
[(2,4),(5,10),(6,7),(8,9),(11,13)]
[(4,5),(6,8),(7,9),(10,11)]
[(5,8),(7,10)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 17 inputs, 49 CEs, 12 layers (cost=82):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15)]
[(1,2),(5,13),(6,14),(9,10)]
[(1,9),(2,10),(5,6),(13,14)]
[(1,4),(2,13),(5,8),(6,9),(7,10),(11,14)]
[(2,6),(4,7),(8,11),(9,13)]
[(0,8),(3,11),(4,12),(7,15),(9,16)]
[(3,8),(6,9),(7,12)]
[(3,7),(8,16)]
[(7,9),(8,12)]
[(6,7),(8,9)]
[(7,8)]

Auto generated
Median selection network for 17 inputs, 51 CEs, 11 layers (cost=86):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15)]
[(1,4),(3,6),(5,8),(10,12),(11,13)]
[(0,10),(1,12),(2,11),(3,13),(4,14),(8,15)]
[(2,10),(3,12),(6,14),(8,9)]
[(3,8),(4,10),(6,11),(9,12)]
[(6,9),(7,10),(8,16)]
[(6,8),(7,16)]
[(7,8),(9,16)]
[(8,9)]

Auto generated
Median selection network for 17 inputs, 56 CEs, 10 layers (cost=96):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16)]
[(1,5),(2,6),(3,7),(4,8),(9,13),(10,15),(11,14),(12,16)]
[(0,3),(1,13),(2,10),(4,7),(5,11),(6,12),(8,9),(14,15)]
[(0,13),(2,5),(3,6),(4,14),(7,15),(9,16),(10,11)]
[(3,4),(5,10),(6,13),(7,11),(12,14)]
[(3,8),(4,10),(6,7),(9,11),(12,13)]
[(0,8),(4,6),(7,12),(9,10)]
[(6,8),(7,9)]
[(7,8)]

Auto generated
Median selection network for 18 inputs, 55 CEs, 12 layers (cost=94):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17)]
[(0,4),(1,5),(2,14),(3,15),(12,16),(13,17)]
[(0,13),(1,12),(2,6),(4,17),(5,16),(11,15)]
[(0,1),(4,12),(5,13),(16,17)]
[(4,13),(5,9),(8,12)]
[(4,7),(5,11),(6,12),(10,13)]
[(1,11),(6,16),(7,8),(9,10)]
[(2,8),(6,10),(7,11),(9,15)]
[(2,9),(3,11),(6,14),(8,15)]
[(6,9),(8,11)]
[(6,8),(9,11)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 18 inputs, 56 CEs, 10 layers (cost=96):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]
[(0,16),(1,17),(2,8),(4,6),(5,7),(9,15),(10,12),(11,13)]
[(0,10),(1,12),(3,9),(5,16),(7,17),(8,14)]
[(0,4),(1,5),(3,10),(7,14),(12,16),(13,17)]
[(1,8),(2,5),(3,4),(6,10),(7,11),(9,16),(12,15),(13,14)]
[(4,6),(5,9),(7,10),(8,12),(11,13)]
[(2,4),(5,6),(7,8),(9,10),(11,12),(13,15)]
[(4,8),(5,11),(6,12),(9,13)]
[(6,9),(8,11)]
[(6,8),(9,11)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 19 inputs, 58 CEs, 15 layers (cost=98):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17)]
[(0,4),(1,5),(2,14),(3,15),(12,16),(13,17)]
[(0,13),(1,12),(2,6),(4,17),(5,16),(11,15)]
[(0,1),(4,12),(5,13),(16,17)]
[(4,13),(5,9),(8,12)]
[(4,7),(5,11),(6,12),(10,13)]
[(1,11),(6,16),(7,8),(9,10)]
[(2,8),(6,10),(7,11),(9,15)]
[(2,9),(3,11),(6,14),(8,15)]
[(6,9),(8,11)]
[(6,8),(9,11)]
[(8,9)]
[(9,18)]
[(8,9)]

Constructed from N-1 case
Auto generated
Median selection network for 19 inputs, 59 CEs, 12 layers (cost=100):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(1,8),(3,12),(5,10),(6,9),(11,14)]
[(2,8),(3,5),(10,12),(11,13)]
[(3,6),(4,8),(5,17),(7,11),(9,12),(10,16)]
[(5,8),(6,10),(7,16),(9,17)]
[(7,18),(8,10)]
[(7,8),(9,10)]
[(8,10),(9,18)]
[(8,9)]

Auto generated
Median selection network for 19 inputs, 60 CEs, 11 layers (cost=102):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(17,18)]
[(1,12),(2,9),(3,13),(4,10),(5,14),(6,11)]
[(1,4),(2,16),(3,10),(5,9),(6,12),(7,11),(13,15),(14,18)]
[(0,4),(5,14),(6,17),(7,13),(10,12)]
[(3,17),(4,5),(6,8),(7,14),(9,12),(10,16)]
[(3,10),(5,8),(7,16),(9,17)]
[(7,9),(8,10)]
[(9,10)]
[(7,9)]

Auto generated
Median selection network for 20 inputs, 63 CEs, 12 layers (cost=108):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19)]
[(1,5),(2,6),(3,15),(4,16),(13,17),(14,18)]
[(1,14),(2,13),(3,7),(5,18),(6,17),(12,16)]
[(0,16),(1,2),(3,19),(5,13),(6,14),(17,18)]
[(0,4),(5,14),(6,10),(9,13),(15,19)]
[(5,8),(6,12),(7,13),(11,14)]
[(2,12),(7,17),(8,9),(10,11)]
[(3,9),(7,11),(8,12),(10,16)]
[(3,10),(4,12),(7,15),(9,16)]
[(7,10),(9,12)]
[(7,9),(10,12)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 20 inputs, 64 CEs, 10 layers (cost=110):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19)]
[(0,4),(1,5),(2,6),(3,7),(12,16),(13,17),(14,18),(15,19)]
[(0,12),(1,13),(2,14),(3,15),(4,16),(5,17),(6,18),(7,19)]
[(1,4),(2,12),(3,8),(5,9),(6,13),(7,17),(10,14),(11,16),(15,18)]
[(3,6),(4,10),(5,12),(7,14),(8,11),(9,15),(13,16)]
[(6,8),(7,9),(10,12),(11,13)]
[(6,10),(7,11),(8,12),(9,13)]
[(8,10),(9,11)]
[(7,10),(9,12)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 21 inputs, 66 CEs, 15 layers (cost=112):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19)]
[(1,5),(2,6),(3,15),(4,16),(13,17),(14,18)]
[(1,14),(2,13),(3,7),(5,18),(6,17),(12,16)]
[(0,16),(1,2),(3,19),(5,13),(6,14),(17,18)]
[(0,4),(5,14),(6,10),(9,13),(15,19)]
[(5,8),(6,12),(7,13),(11,14)]
[(2,12),(7,17),(8,9),(10,11)]
[(3,9),(7,11),(8,12),(10,16)]
[(3,10),(4,12),(7,15),(9,16)]
[(7,10),(9,12)]
[(7,9),(10,12)]
[(9,10)]
[(10,20)]
[(9,10)]

Constructed from N-1 case
Auto generated
Median selection network for 21 inputs, 67 CEs, 12 layers (cost=114):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(17,18)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(1,2),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14)]
[(2,8),(3,19),(5,6),(9,10),(12,16)]
[(3,5),(6,18),(7,19),(8,12),(9,17),(10,16)]
[(5,9),(6,12),(7,17),(10,18)]
[(7,13),(9,12),(10,20)]
[(7,20),(10,12)]
[(7,12),(9,10)]
[(7,10)]

Auto generated
Median selection network for 22 inputs, 74 CEs, 14 layers (cost=128):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,13),(14,16),(15,17),(18,20),(19,21)]
[(0,4),(1,5),(2,6),(3,7),(14,18),(15,19),(16,20),(17,21)]
[(0,14),(1,15),(2,16),(3,17),(4,18),(5,19),(6,20),(7,21)]
[(3,8),(13,18)]
[(3,14),(7,18),(8,11),(10,13)]
[(1,10),(8,12),(9,13),(11,20)]
[(4,8),(5,9),(6,10),(11,15),(12,16),(13,17)]
[(2,5),(6,14),(7,15),(8,11),(10,13),(16,19)]
[(5,11),(7,9),(10,16),(12,14)]
[(5,8),(7,10),(11,14),(13,16)]
[(7,11),(8,12),(9,13),(10,14)]
[(9,11),(10,12)]
[(9,10),(11,12)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 22 inputs, 75 CEs, 12 layers (cost=130):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,11),(9,12),(10,13),(14,16),(15,17),(18,20),(19,21)]
[(0,4),(1,5),(2,6),(3,7),(8,10),(11,13),(14,18),(15,19),(16,20),(17,21)]
[(0,14),(1,15),(2,16),(3,17),(4,18),(5,19),(6,20),(7,21),(9,10),(11,12)]
[(1,8),(3,18),(4,9),(6,11),(10,15),(12,17),(13,20)]
[(2,10),(3,8),(6,14),(7,15),(11,19),(13,18)]
[(5,10),(8,12),(9,13),(11,16)]
[(5,9),(7,10),(11,14),(12,16)]
[(3,11),(7,13),(8,14),(10,18)]
[(7,8),(9,11),(10,12),(13,14)]
[(8,10),(11,13)]
[(8,11),(10,13)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 22 inputs, 76 CEs, 11 layers (cost=132):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,12),(9,13),(14,16),(15,17),(18,20),(19,21)]
[(0,4),(1,5),(2,6),(3,7),(8,11),(9,12),(10,13),(14,18),(15,19),(16,20),(17,21)]
[(1,16),(2,15),(3,17),(4,18),(5,20),(6,19),(7,13),(8,14),(9,10),(11,12)]
[(1,9),(4,7),(5,10),(11,16),(12,20),(14,17)]
[(0,14),(2,5),(3,11),(6,9),(7,21),(10,18),(12,15),(16,19)]
[(3,6),(5,12),(7,11),(9,16),(10,14),(15,18)]
[(4,5),(6,10),(7,9),(11,15),(12,14),(16,17)]
[(5,10),(7,12),(9,14),(11,16)]
[(9,10),(11,12)]
[(9,11),(10,12)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 23 inputs, 77 CEs, 16 layers (cost=132):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(2,18),(4,20),(5,21),(8,16),(9,17),(11,19)]
[(0,11),(1,8),(2,4),(3,9),(10,20),(12,21),(13,18),(17,19)]
[(8,9),(10,12)]
[(6,12),(9,11),(10,13)]
[(4,10),(9,15),(11,17)]
[(2,11),(8,15),(10,19),(13,17)]
[(4,15),(5,11),(6,13),(10,16)]
[(6,15),(10,22),(11,16)]
[(6,10),(15,22)]
[(5,10),(11,15)]
[(10,11)]
[(11,15)]

Constructed from N+2 case
Auto generated
Median selection network for 23 inputs, 78 CEs, 14 layers (cost=134):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(17,21),(18,22)]
[(0,8),(2,16),(4,18),(5,22),(10,20),(12,17),(13,19),(14,21)]
[(1,20),(2,12),(3,13),(4,10),(5,14),(6,17),(7,19),(9,16),(11,18),(15,22)]
[(1,12),(9,10),(11,14),(13,18),(15,17),(16,20)]
[(3,10),(5,11),(6,12),(13,21),(14,20)]
[(3,8),(5,6),(7,14),(10,16),(11,12),(13,15)]
[(6,10),(8,11),(12,16)]
[(10,12),(11,13)]
[(10,11),(12,13)]
[(7,12)]
[(7,11),(12,15)]
[(11,12)]

Auto generated
Median selection network for 23 inputs, 80 CEs, 13 layers (cost=138):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22)]
[(0,20),(1,21),(2,22),(4,16),(5,13),(6,9),(7,19),(8,12),(10,18),(11,15),(14,17)]
[(0,8),(1,16),(5,10),(6,14),(7,22),(9,17),(13,18),(15,19)]
[(2,9),(3,10),(4,8),(7,12),(11,16),(13,20),(14,21)]
[(1,7),(2,5),(3,14),(6,13),(9,20),(10,17),(11,12),(16,22),(18,21)]
[(3,8),(5,7),(10,12),(11,13),(15,20),(16,18)]
[(7,13),(8,11),(10,16),(12,15)]
[(5,7),(9,13),(10,14),(16,18)]
[(7,11),(9,10),(12,16),(13,14)]
[(10,11),(12,13)]
[(10,12),(11,13)]
[(11,12)]

Constructed from N+1 case
Auto generated
Median selection network for 23 inputs, 83 CEs, 12 layers (cost=144):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22)]
[(1,18),(2,20),(3,21),(4,17),(5,22),(6,19),(7,15),(8,16)]
[(0,16),(3,11),(5,13),(6,14),(9,17),(10,18),(12,20)]
[(1,12),(2,9),(3,5),(4,10),(6,16),(7,17),(11,22),(13,19),(14,21),(18,20)]
[(3,12),(5,16),(7,18),(9,10),(11,20),(13,14)]
[(5,7),(6,9),(10,12),(11,13),(14,17),(16,18)]
[(3,10),(5,9),(7,12),(11,16),(13,20),(14,18)]
[(7,11),(9,10),(12,16),(13,14)]
[(10,11),(12,13)]
[(11,12)]

Constructed from N+1 case
Auto generated
Median selection network for 24 inputs, 82 CEs, 14 layers (cost=142):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(0,8),(3,14),(5,13),(6,11),(9,20),(10,18),(12,17),(15,23)]
[(1,17),(2,20),(3,21),(4,18),(5,19),(6,22),(7,15),(8,16)]
[(1,9),(2,10),(3,5),(4,12),(11,19),(13,21),(14,22),(18,20)]
[(9,10),(13,14)]
[(10,12),(11,13)]
[(6,12),(9,10),(11,17),(13,14)]
[(5,12),(6,16),(7,17),(11,18)]
[(3,16),(5,11),(7,20),(12,18)]
[(7,11),(12,16)]
[(7,10),(13,16)]
[(10,12),(11,13)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 24 inputs, 83 CEs, 12 layers (cost=144):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,20),(1,21),(2,22),(3,23),(4,16),(5,13),(6,9),(7,19),(8,12),(10,18),(11,15),(14,17)]
[(0,8),(1,16),(5,10),(6,14),(7,22),(9,17),(13,18),(15,23)]
[(2,9),(3,10),(4,8),(7,12),(11,16),(13,20),(14,21),(15,19)]
[(1,7),(2,5),(3,14),(6,13),(9,20),(10,17),(11,12),(16,22),(18,21)]
[(3,8),(5,7),(10,12),(11,13),(15,20),(16,18)]
[(7,13),(8,11),(10,16),(12,15)]
[(5,7),(9,13),(10,14),(16,18)]
[(7,11),(9,10),(12,16),(13,14)]
[(10,11),(12,13)]
[(10,12),(11,13)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 24 inputs, 86 CEs, 11 layers (cost=150):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(1,18),(2,20),(3,21),(4,17),(5,22),(6,19),(7,15),(8,16)]
[(0,16),(3,11),(5,13),(6,14),(7,23),(9,17),(10,18),(12,20)]
[(1,12),(2,9),(3,5),(4,10),(6,16),(7,17),(11,22),(13,19),(14,21),(18,20)]
[(3,12),(5,16),(7,18),(9,10),(11,20),(13,14)]
[(5,7),(6,9),(10,12),(11,13),(14,17),(16,18)]
[(3,10),(5,9),(7,12),(11,16),(13,20),(14,18)]
[(7,11),(9,10),(12,16),(13,14)]
[(10,11),(12,13)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 25 inputs, 85 CEs, 16 layers (cost=146):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(3,19),(5,21),(6,22),(7,23),(8,16),(9,17),(10,18),(12,20)]
[(1,12),(2,9),(3,5),(4,10),(11,21),(13,22),(14,19),(18,20)]
[(9,10),(11,13)]
[(7,13),(10,12),(11,14)]
[(5,11),(10,16),(12,18)]
[(3,12),(9,16),(11,20),(14,18)]
[(5,16),(6,12),(7,14),(11,17)]
[(7,16),(11,24),(12,17)]
[(7,11),(16,24)]
[(6,11),(12,16)]
[(11,12)]
[(12,16)]

Auto generated
Median selection network for 25 inputs, 86 CEs, 15 layers (cost=148):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(2,16),(3,20),(5,22),(6,18),(9,21),(10,17),(12,19)]
[(1,6),(3,8),(4,10),(5,12),(7,19),(9,18),(11,22),(14,21),(17,20)]
[(6,10),(7,14),(9,24)]
[(6,16),(7,11),(8,10),(14,23),(18,24)]
[(7,12),(8,9),(10,17),(20,24)]
[(5,10),(7,16),(12,20),(14,17)]
[(10,18),(12,16),(13,14)]
[(9,10),(11,13),(16,18)]
[(10,12),(11,16)]
[(11,12)]
[(12,16)]

Auto generated
Median selection network for 25 inputs, 87 CEs, 14 layers (cost=150):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(1,16),(3,20),(5,21),(6,19),(9,17),(10,18),(12,22)]
[(2,9),(3,8),(4,10),(5,18),(6,12),(7,22),(11,21),(13,19),(17,20)]
[(6,16),(7,13),(9,10),(12,17),(14,20),(18,24)]
[(5,18),(7,11),(8,10),(14,23),(17,24)]
[(7,14),(8,9),(10,16)]
[(5,10),(7,17),(9,12),(13,14),(16,18)]
[(7,16),(10,12),(11,18),(13,17)]
[(11,13),(12,16)]
[(11,16)]
[(11,12)]

Auto generated
Median selection network for 25 inputs, 97 CEs, 13 layers (cost=170):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,24)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(21,22),(23,24)]
[(0,8),(1,12),(2,10),(3,14),(4,9),(5,13),(6,11),(7,15),(17,22),(18,21),(19,24)]
[(1,16),(3,9),(4,18),(5,17),(6,20),(7,13),(11,14),(12,22),(15,24),(21,23)]
[(2,18),(3,12),(4,16),(5,21),(6,8),(7,11),(10,17),(14,23),(19,20)]
[(2,5),(7,18),(8,16),(9,21),(10,14),(12,19),(13,17),(20,22)]
[(3,5),(7,9),(10,12),(11,20),(13,19),(14,21),(15,18)]
[(5,9),(8,10),(11,15),(12,16),(13,14)]
[(5,10),(7,12),(9,16),(11,13),(14,19)]
[(9,12),(10,11),(13,15),(14,16)]
[(11,12),(13,14)]
[(12,13)]

Auto generated
Median selection network for 26 inputs, 94 CEs, 16 layers (cost=164):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25)]
[(0,4),(1,5),(2,6),(3,7),(8,14),(9,15),(10,16),(11,17),(18,22),(19,23),(20,24),(21,25)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(9,16)]
[(2,8),(3,13),(6,9),(12,22),(16,19),(17,23)]
[(1,6),(9,13),(12,16),(19,24)]
[(8,12),(9,14),(11,16),(13,17)]
[(6,12),(7,16),(9,18),(13,19)]
[(3,18),(7,22),(11,12),(13,14)]
[(3,11),(7,15),(10,18),(14,22)]
[(4,10),(5,18),(6,11),(7,20),(14,19),(15,21)]
[(5,13),(10,11),(12,20),(14,15)]
[(5,10),(11,13),(12,14),(15,20)]
[(7,11),(10,12),(13,15),(14,18)]
[(11,13),(12,14)]
[(11,12),(13,14)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 26 inputs, 95 CEs, 14 layers (cost=166):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25)]
[(0,4),(1,5),(2,6),(3,7),(8,14),(9,15),(10,16),(11,17),(18,22),(19,23),(20,24),(21,25)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(9,10),(15,16)]
[(1,4),(2,18),(3,22),(5,20),(6,19),(7,23),(10,14),(11,15),(21,24)]
[(3,6),(4,21),(5,12),(7,17),(8,18),(13,20),(19,22)]
[(1,5),(3,9),(4,10),(6,14),(11,19),(15,21),(16,22),(20,24)]
[(2,5),(7,15),(9,12),(10,18),(13,16),(20,23)]
[(5,11),(10,13),(12,15),(14,20)]
[(11,13),(12,14)]
[(6,11),(7,13),(12,18),(14,19)]
[(7,9),(11,12),(13,14),(16,18)]
[(9,12),(13,16)]
[(9,13),(12,16)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 26 inputs, 96 CEs, 13 layers (cost=168):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25)]
[(0,4),(1,5),(2,6),(3,7),(8,14),(9,15),(10,16),(11,17),(18,22),(19,23),(20,24),(21,25)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(10,14),(11,15)]
[(1,4),(2,18),(3,22),(5,20),(6,19),(7,23),(21,24)]
[(2,8),(3,6),(4,18),(5,12),(7,21),(13,20),(17,23),(19,22)]
[(3,10),(5,8),(6,14),(7,16),(9,18),(11,19),(15,22),(17,20)]
[(4,11),(6,8),(7,13),(9,10),(12,18),(14,21),(15,16),(17,19)]
[(1,7),(8,11),(10,13),(12,15),(14,17),(18,24)]
[(7,11),(10,12),(13,15),(14,18)]
[(7,12),(8,14),(11,17),(13,18)]
[(11,13),(12,14)]
[(11,12),(13,14)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 26 inputs, 104 CEs, 12 layers (cost=184):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25)]
[(0,4),(1,5),(2,6),(3,7),(8,14),(9,16),(10,13),(11,17),(12,15),(18,22),(19,23),(20,24),(21,25)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(9,12),(10,14),(11,15),(13,16)]
[(1,18),(2,10),(3,20),(4,8),(5,22),(6,14),(7,24),(11,19),(15,23),(17,21)]
[(1,9),(3,13),(5,15),(6,18),(7,19),(8,11),(10,20),(12,22),(14,17),(16,24)]
[(2,6),(3,11),(5,9),(7,17),(8,18),(10,12),(13,15),(14,22),(16,20),(19,23)]
[(3,10),(7,13),(9,14),(11,16),(12,18),(15,22)]
[(5,10),(7,12),(9,11),(13,18),(14,16),(15,20)]
[(6,10),(7,9),(11,13),(12,14),(15,19),(16,18)]
[(9,10),(11,12),(13,14),(15,16)]
[(10,12),(13,15)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 27 inputs, 97 CEs, 18 layers (cost=168):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(25,26)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15)]
[(5,21),(6,20),(8,16),(9,19),(10,18),(13,23)]
[(5,24),(9,25),(19,20)]
[(5,16),(9,12),(11,20),(13,19),(18,25)]
[(6,9),(11,19),(13,26),(16,24),(17,18),(21,25)]
[(4,17),(9,13),(10,16),(11,26),(12,18),(21,24)]
[(3,13),(7,18),(12,17),(14,24),(16,21)]
[(1,12),(2,16),(7,22),(17,21)]
[(3,17),(7,16),(9,12),(11,22),(13,21)]
[(7,12),(11,16)]
[(11,14),(12,17)]
[(11,12),(14,16)]
[(12,13),(14,17)]
[(13,14)]
[(12,13)]

Auto generated
Median selection network for 27 inputs, 98 CEs, 17 layers (cost=170):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25)]
[(0,4),(1,5),(2,6),(3,7),(8,14),(9,15),(10,16),(11,17),(18,22),(19,23),(20,24),(21,25)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(9,10),(15,16)]
[(1,4),(2,18),(3,22),(5,20),(6,19),(7,23),(10,14),(11,15),(21,24)]
[(3,6),(4,21),(5,12),(7,17),(8,18),(13,20),(19,22)]
[(1,5),(3,9),(4,10),(6,14),(11,19),(15,21),(16,22),(20,24)]
[(2,5),(7,15),(9,12),(10,18),(13,16),(20,23)]
[(5,11),(10,13),(12,15),(14,20)]
[(11,13),(12,14)]
[(6,11),(7,13),(12,18),(14,19)]
[(7,9),(11,12),(13,14),(16,18)]
[(9,12),(13,16)]
[(9,13),(12,16)]
[(12,13)]
[(13,26)]
[(12,13)]

Constructed from N-1 case
Auto generated
Median selection network for 27 inputs, 99 CEs, 15 layers (cost=172):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(25,26)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(19,26),(20,25)]
[(1,2),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(18,20)]
[(2,8),(3,24),(4,18),(5,20),(6,17),(7,26),(9,21),(10,22),(12,19),(13,23)]
[(2,12),(3,6),(7,13),(8,16),(10,17),(11,21),(14,22)]
[(6,18),(7,25),(10,12),(13,20),(14,19),(17,24)]
[(7,16),(9,17),(10,18),(11,25),(14,24)]
[(1,7),(5,9),(11,14),(13,18),(16,17)]
[(7,13),(11,12),(16,18)]
[(9,13),(11,16),(17,18)]
[(12,17),(13,16)]
[(12,13)]
[(13,16)]

Auto generated
Median selection network for 27 inputs, 102 CEs, 14 layers (cost=178):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26)]
[(0,16),(1,25),(2,26),(3,11),(4,12),(5,9),(6,10),(7,19),(8,20),(15,23),(17,21),(18,22)]
[(1,13),(5,18),(6,17),(7,15),(9,22),(10,21),(11,19),(12,20),(14,26),(16,24)]
[(0,12),(1,10),(2,9),(3,7),(6,14),(8,16),(11,23),(13,21),(17,26),(18,25),(20,24)]
[(1,5),(3,20),(4,16),(6,12),(7,24),(10,14),(13,17),(15,21),(22,26)]
[(2,13),(7,11),(9,17),(10,18),(14,25),(16,20)]
[(3,16),(5,13),(7,15),(9,18),(11,24),(12,20),(14,22)]
[(2,16),(5,12),(7,9),(11,25),(15,22),(18,20)]
[(7,16),(9,13),(10,12),(11,20),(14,18),(15,17)]
[(9,14),(11,15),(12,16),(13,18)]
[(11,13),(14,16)]
[(11,14),(13,16)]
[(13,14)]

Constructed from N+1 case
Auto generated
Median selection network for 28 inputs, 104 CEs, 14 layers (cost=182):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27)]
[(0,4),(1,5),(2,6),(3,7),(8,16),(9,17),(10,18),(11,19),(20,24),(21,25),(22,26),(23,27)]
[(0,20),(1,21),(2,22),(3,23),(4,24),(5,25),(6,26),(7,27),(10,12),(15,17)]
[(1,10),(3,13),(6,15),(7,19),(8,20),(12,21),(14,24),(17,26)]
[(3,16),(7,17),(9,14),(10,20),(11,24),(13,18)]
[(2,9),(3,4),(5,16),(6,20),(7,21),(10,12),(11,22),(15,17),(18,25),(23,24)]
[(4,9),(5,11),(6,12),(7,14),(13,20),(15,21),(16,22),(18,23)]
[(4,7),(5,13),(9,12),(14,22),(15,18),(20,23)]
[(9,13),(11,12),(14,18),(15,16)]
[(7,13),(11,15),(12,16),(14,20)]
[(7,15),(11,14),(12,20),(13,16)]
[(12,13),(14,15)]
[(12,14),(13,15)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 28 inputs, 105 CEs, 13 layers (cost=184):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27)]
[(0,16),(1,25),(2,26),(4,12),(5,9),(6,10),(7,19),(8,20),(11,27),(15,23),(17,21),(18,22)]
[(1,13),(3,11),(5,18),(6,17),(7,15),(9,22),(10,21),(12,20),(14,26),(16,24)]
[(0,12),(1,10),(2,9),(3,7),(6,14),(8,16),(11,19),(13,21),(15,27),(17,26),(18,25),(20,24)]
[(1,5),(3,20),(4,16),(6,12),(7,24),(10,14),(11,23),(13,17),(15,21),(22,26)]
[(2,13),(7,11),(9,17),(10,18),(14,25),(16,20)]
[(3,16),(5,13),(7,15),(9,18),(11,24),(12,20),(14,22)]
[(2,16),(5,12),(7,9),(11,25),(15,22),(18,20)]
[(7,16),(9,13),(10,12),(11,20),(14,18),(15,17)]
[(9,14),(11,15),(12,16),(13,18)]
[(11,13),(14,16)]
[(11,14),(13,16)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 29 inputs, 107 CEs, 17 layers (cost=186):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27)]
[(0,4),(1,5),(2,6),(3,7),(8,16),(9,17),(10,18),(11,19),(20,24),(21,25),(22,26),(23,27)]
[(0,20),(1,21),(2,22),(3,23),(4,24),(5,25),(6,26),(7,27),(10,12),(15,17)]
[(1,10),(3,13),(6,15),(7,19),(8,20),(12,21),(14,24),(17,26)]
[(3,16),(7,17),(9,14),(10,20),(11,24),(13,18)]
[(2,9),(3,4),(5,16),(6,20),(7,21),(10,12),(11,22),(15,17),(18,25),(23,24)]
[(4,9),(5,11),(6,12),(7,14),(13,20),(15,21),(16,22),(18,23)]
[(4,7),(5,13),(9,12),(14,22),(15,18),(20,23)]
[(9,13),(11,12),(14,18),(15,16)]
[(7,13),(11,15),(12,16),(14,20)]
[(7,15),(11,14),(12,20),(13,16)]
[(12,13),(14,15)]
[(12,14),(13,15)]
[(13,14)]
[(14,28)]
[(13,14)]

Constructed from N-1 case
Auto generated
Median selection network for 29 inputs, 108 CEs, 16 layers (cost=188):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27)]
[(0,16),(1,25),(2,26),(4,12),(5,9),(6,10),(7,19),(8,20),(11,27),(15,23),(17,21),(18,22)]
[(1,13),(3,11),(5,18),(6,17),(7,15),(9,22),(10,21),(12,20),(14,26),(16,24)]
[(0,12),(1,10),(2,9),(3,7),(6,14),(8,16),(11,19),(13,21),(15,27),(17,26),(18,25),(20,24)]
[(1,5),(3,20),(4,16),(6,12),(7,24),(10,14),(11,23),(13,17),(15,21),(22,26)]
[(2,13),(7,11),(9,17),(10,18),(14,25),(16,20)]
[(3,16),(5,13),(7,15),(9,18),(11,24),(12,20),(14,22)]
[(2,16),(5,12),(7,9),(11,25),(15,22),(18,20)]
[(7,16),(9,13),(10,12),(11,20),(14,18),(15,17)]
[(9,14),(11,15),(12,16),(13,18)]
[(11,13),(14,16)]
[(11,14),(13,16)]
[(13,14)]
[(14,28)]
[(13,14)]

Constructed from N-1 case
Auto generated
Median selection network for 29 inputs, 115 CEs, 15 layers (cost=202):

[(0,1),(2,3),(4,5),(6,7),(9,10),(11,13),(12,18),(14,15),(16,17),(19,20),(21,22),(23,24),(25,26),(27,28)]
[(0,2),(1,3),(4,6),(5,7),(8,9),(11,16),(12,19),(13,17),(18,20),(21,23),(22,24),(25,27),(26,28)]
[(0,4),(1,5),(2,6),(3,7),(9,10),(12,17),(18,19),(21,25),(22,26),(23,27),(24,28)]
[(2,5),(4,8),(6,17),(9,14),(10,16),(11,12),(13,18),(15,19),(20,24),(23,26)]
[(1,9),(2,10),(3,16),(5,14),(11,21),(12,22),(13,25),(15,23),(17,28),(18,26),(19,27)]
[(0,12),(1,21),(2,15),(3,20),(4,13),(5,18),(6,19),(7,27),(8,25),(9,22),(10,23),(14,26),(16,24)]
[(3,8),(5,15),(6,10),(7,16),(9,12),(13,21),(14,23),(17,19),(18,22),(20,25)]
[(5,13),(6,9),(7,14),(10,12),(15,21),(16,23),(17,18),(19,22)]
[(7,17),(9,13),(10,15),(12,21),(14,18),(16,19)]
[(3,7),(8,15),(12,13),(14,20),(16,17),(21,25)]
[(7,8),(13,14),(15,16),(20,21)]
[(8,13),(12,15),(14,17),(16,20)]
[(13,15),(14,16)]
[(13,14),(15,16)]
[(14,15)]

Constructed from N+1 case
Auto generated
Median selection network for 29 inputs, 118 CEs, 14 layers (cost=208):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28)]
[(0,16),(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28)]
[(0,15),(1,7),(2,23),(4,19),(5,11),(6,27),(8,17),(9,16),(10,25),(12,21),(13,20),(18,24),(22,28)]
[(2,4),(3,24),(5,26),(6,7),(8,9),(10,12),(11,16),(13,18),(17,19),(20,21),(22,23),(25,27)]
[(4,9),(7,15),(10,13),(11,17),(12,18),(14,22),(16,19),(20,25)]
[(9,14),(12,13),(15,20),(16,17)]
[(5,16),(9,10),(12,14),(13,24),(15,17),(19,20)]
[(10,15),(12,16),(13,17),(14,19)]
[(13,14),(15,16)]
[(13,15),(14,16)]
[(14,15)]

Constructed from N+1 case
Auto generated
Median selection network for 30 inputs, 118 CEs, 16 layers (cost=208):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,16),(13,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29)]
[(0,4),(1,5),(2,6),(3,7),(8,18),(10,19),(11,21),(22,26),(23,27),(24,28),(25,29)]
[(1,10),(2,16),(11,17),(12,18),(13,27),(19,28)]
[(1,13),(2,24),(5,27),(6,19),(10,23),(11,14),(15,18),(16,28)]
[(1,22),(2,8),(3,18),(4,15),(5,9),(6,10),(7,28),(11,26),(14,25),(19,23),(20,24),(21,27)]
[(0,11),(3,14),(4,22),(5,20),(6,12),(7,25),(9,24),(10,13),(15,26),(16,19),(17,23),(18,29)]
[(3,15),(7,18),(8,12),(10,16),(11,22),(13,19),(14,26),(17,21)]
[(3,5),(7,21),(8,22),(9,16),(11,12),(13,20),(17,18),(24,26)]
[(5,10),(7,17),(9,14),(12,22),(15,20),(19,24)]
[(10,12),(13,15),(14,16),(17,19)]
[(7,12),(17,22)]
[(7,13),(12,14),(15,17),(16,22)]
[(9,13),(12,15),(14,17),(16,20)]
[(13,15),(14,16)]
[(13,14),(15,16)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 30 inputs, 119 CEs, 14 layers (cost=210):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,16),(13,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29)]
[(0,4),(1,5),(2,6),(3,7),(9,10),(11,12),(17,18),(19,20),(22,26),(23,27),(24,28),(25,29)]
[(2,5),(4,8),(9,14),(10,16),(11,17),(12,18),(13,19),(15,20),(21,25),(24,27)]
[(1,9),(2,10),(3,16),(5,14),(6,12),(7,18),(11,22),(13,26),(15,24),(17,23),(19,27),(20,28)]
[(0,17),(1,22),(2,15),(3,21),(4,13),(5,19),(6,20),(7,28),(8,26),(9,23),(10,24),(12,29),(14,27),(16,25)]
[(3,8),(5,15),(6,10),(7,16),(9,17),(12,20),(13,22),(14,24),(19,23),(21,26)]
[(5,13),(6,9),(7,14),(10,17),(12,19),(15,22),(16,24),(20,23)]
[(7,12),(9,13),(10,15),(14,19),(16,20),(17,22)]
[(3,7),(8,15),(12,16),(13,17),(14,21),(22,26)]
[(7,8),(12,15),(14,17),(21,22)]
[(8,14),(12,13),(15,21),(16,17)]
[(13,14),(15,16)]
[(13,15),(14,16)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 30 inputs, 122 CEs, 13 layers (cost=216):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29)]
[(0,16),(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29)]
[(0,15),(1,7),(2,23),(4,19),(5,11),(6,27),(8,17),(9,16),(10,25),(12,21),(13,20),(14,29),(18,24),(22,28)]
[(2,4),(3,24),(5,26),(6,7),(8,9),(10,12),(11,16),(13,18),(17,19),(20,21),(22,23),(25,27)]
[(4,9),(7,15),(10,13),(11,17),(12,18),(14,22),(16,19),(20,25)]
[(9,14),(12,13),(15,20),(16,17)]
[(5,16),(9,10),(12,14),(13,24),(15,17),(19,20)]
[(10,15),(12,16),(13,17),(14,19)]
[(13,14),(15,16)]
[(13,15),(14,16)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 31 inputs, 121 CEs, 19 layers (cost=212):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,16),(13,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29)]
[(0,4),(1,5),(2,6),(3,7),(8,18),(10,19),(11,21),(22,26),(23,27),(24,28),(25,29)]
[(1,10),(2,16),(11,17),(12,18),(13,27),(19,28)]
[(1,13),(2,24),(5,27),(6,19),(10,23),(11,14),(15,18),(16,28)]
[(1,22),(2,8),(3,18),(4,15),(5,9),(6,10),(7,28),(11,26),(14,25),(19,23),(20,24),(21,27)]
[(0,11),(3,14),(4,22),(5,20),(6,12),(7,25),(9,24),(10,13),(15,26),(16,19),(17,23),(18,29)]
[(3,15),(7,18),(8,12),(10,16),(11,22),(13,19),(14,26),(17,21)]
[(3,5),(7,21),(8,22),(9,16),(11,12),(13,20),(17,18),(24,26)]
[(5,10),(7,17),(9,14),(12,22),(15,20),(19,24)]
[(10,12),(13,15),(14,16),(17,19)]
[(7,12),(17,22)]
[(7,13),(12,14),(15,17),(16,22)]
[(9,13),(12,15),(14,17),(16,20)]
[(13,15),(14,16)]
[(13,14),(15,16)]
[(14,15)]
[(15,30)]
[(14,15)]

Constructed from N-1 case
Auto generated
Median selection network for 31 inputs, 122 CEs, 17 layers (cost=214):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,16),(13,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29)]
[(0,4),(1,5),(2,6),(3,7),(9,10),(11,12),(17,18),(19,20),(22,26),(23,27),(24,28),(25,29)]
[(2,5),(4,8),(9,14),(10,16),(11,17),(12,18),(13,19),(15,20),(21,25),(24,27)]
[(1,9),(2,10),(3,16),(5,14),(6,12),(7,18),(11,22),(13,26),(15,24),(17,23),(19,27),(20,28)]
[(0,17),(1,22),(2,15),(3,21),(4,13),(5,19),(6,20),(7,28),(8,26),(9,23),(10,24),(12,29),(14,27),(16,25)]
[(3,8),(5,15),(6,10),(7,16),(9,17),(12,20),(13,22),(14,24),(19,23),(21,26)]
[(5,13),(6,9),(7,14),(10,17),(12,19),(15,22),(16,24),(20,23)]
[(7,12),(9,13),(10,15),(14,19),(16,20),(17,22)]
[(3,7),(8,15),(12,16),(13,17),(14,21),(22,26)]
[(7,8),(12,15),(14,17),(21,22)]
[(8,14),(12,13),(15,21),(16,17)]
[(13,14),(15,16)]
[(13,15),(14,16)]
[(14,15)]
[(15,30)]
[(14,15)]

Constructed from N-1 case
Auto generated
Median selection network for 31 inputs, 125 CEs, 15 layers (cost=220):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30)]
[(1,6),(4,22),(5,18),(9,27),(11,19),(12,20),(13,26),(25,30)]
[(1,25),(2,13),(3,27),(4,28),(5,10),(6,30),(9,17),(14,22),(18,29),(21,26)]
[(0,9),(1,12),(2,16),(3,17),(4,8),(5,24),(6,11),(7,26),(10,18),(13,21),(14,28),(15,29),(19,30),(20,25),(23,27)]
[(3,14),(6,20),(7,23),(8,24),(9,16),(10,13),(11,25),(15,22),(17,28),(18,21)]
[(6,9),(7,15),(8,10),(11,13),(12,14),(16,24),(17,19),(18,20),(21,23),(22,25)]
[(3,18),(7,17),(9,16),(10,12),(13,28),(14,24),(15,22),(19,21)]
[(7,20),(11,24),(12,16),(13,17),(14,18),(15,19)]
[(7,11),(13,15),(16,18),(20,24)]
[(11,18),(13,20),(14,16),(15,17)]
[(11,13),(18,20)]
[(13,16),(15,18)]
[(15,16)]

Constructed from N+1 case
Auto generated
Median selection network for 31 inputs, 128 CEs, 14 layers (cost=226):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30)]
[(0,16),(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30)]
[(1,16),(2,8),(3,24),(5,20),(6,12),(7,28),(9,18),(10,17),(11,26),(13,22),(14,21),(15,30),(19,25),(23,29)]
[(3,5),(4,25),(6,27),(7,8),(9,10),(11,13),(12,17),(14,19),(18,20),(21,22),(23,24),(26,28)]
[(5,10),(8,16),(11,14),(12,18),(13,19),(15,23),(17,20),(21,26)]
[(10,15),(13,14),(16,21),(17,18)]
[(6,17),(10,11),(13,15),(14,25),(16,18),(20,21)]
[(11,16),(13,17),(14,18),(15,20)]
[(14,15),(16,17)]
[(14,16),(15,17)]
[(15,16)]

Constructed from N+1 case
Auto generated
Median selection network for 32 inputs, 128 CEs, 14 layers (cost=226):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31)]
[(1,6),(4,22),(5,18),(9,27),(11,19),(12,20),(13,26),(25,30)]
[(1,25),(2,13),(3,27),(4,28),(5,10),(6,30),(9,17),(14,22),(18,29),(21,26)]
[(0,9),(1,12),(2,16),(3,17),(4,8),(5,24),(6,11),(7,26),(10,18),(13,21),(14,28),(15,29),(19,30),(20,25),(22,31),(23,27)]
[(3,14),(6,20),(7,23),(8,24),(9,16),(10,13),(11,25),(15,22),(17,28),(18,21)]
[(6,9),(7,15),(8,10),(11,13),(12,14),(16,24),(17,19),(18,20),(21,23),(22,25)]
[(3,18),(7,17),(9,16),(10,12),(13,28),(14,24),(15,22),(19,21)]
[(7,20),(11,24),(12,16),(13,17),(14,18),(15,19)]
[(7,11),(13,15),(16,18),(20,24)]
[(11,18),(13,20),(14,16),(15,17)]
[(11,13),(18,20)]
[(13,16),(15,18)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 32 inputs, 132 CEs, 13 layers (cost=234):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31)]
[(0,16),(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30),(15,31)]
[(1,16),(2,8),(3,24),(5,20),(6,12),(7,28),(9,18),(10,17),(11,26),(13,22),(14,21),(15,30),(19,25),(23,29)]
[(3,5),(4,25),(6,27),(7,8),(9,10),(11,13),(12,17),(14,19),(18,20),(21,22),(23,24),(26,28)]
[(5,10),(8,16),(11,14),(12,18),(13,19),(15,23),(17,20),(21,26)]
[(10,15),(13,14),(16,21),(17,18)]
[(6,17),(10,11),(13,15),(14,25),(16,18),(20,21)]
[(11,16),(13,17),(14,18),(15,20)]
[(14,15),(16,17)]
[(14,16),(15,17)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 33 inputs, 131 CEs, 17 layers (cost=230):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31)]
[(1,6),(4,22),(5,18),(9,27),(11,19),(12,20),(13,26),(25,30)]
[(1,25),(2,13),(3,27),(4,28),(5,10),(6,30),(9,17),(14,22),(18,29),(21,26)]
[(0,9),(1,12),(2,16),(3,17),(4,8),(5,24),(6,11),(7,26),(10,18),(13,21),(14,28),(15,29),(19,30),(20,25),(22,31),(23,27)]
[(3,14),(6,20),(7,23),(8,24),(9,16),(10,13),(11,25),(15,22),(17,28),(18,21)]
[(6,9),(7,15),(8,10),(11,13),(12,14),(16,24),(17,19),(18,20),(21,23),(22,25)]
[(3,18),(7,17),(9,16),(10,12),(13,28),(14,24),(15,22),(19,21)]
[(7,20),(11,24),(12,16),(13,17),(14,18),(15,19)]
[(7,11),(13,15),(16,18),(20,24)]
[(11,18),(13,20),(14,16),(15,17)]
[(11,13),(18,20)]
[(13,16),(15,18)]
[(15,16)]
[(16,32)]
[(15,16)]

Constructed from N-1 case
Auto generated
Median selection network for 33 inputs, 135 CEs, 16 layers (cost=238):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31)]
[(0,16),(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30),(15,31)]
[(1,16),(2,8),(3,24),(5,20),(6,12),(7,28),(9,18),(10,17),(11,26),(13,22),(14,21),(15,30),(19,25),(23,29)]
[(3,5),(4,25),(6,27),(7,8),(9,10),(11,13),(12,17),(14,19),(18,20),(21,22),(23,24),(26,28)]
[(5,10),(8,16),(11,14),(12,18),(13,19),(15,23),(17,20),(21,26)]
[(10,15),(13,14),(16,21),(17,18)]
[(6,17),(10,11),(13,15),(14,25),(16,18),(20,21)]
[(11,16),(13,17),(14,18),(15,20)]
[(14,15),(16,17)]
[(14,16),(15,17)]
[(15,16)]
[(16,32)]
[(15,16)]

Constructed from N-1 case
Auto generated
Median selection network for 33 inputs, 139 CEs, 15 layers (cost=246):

[(0,32),(2,3),(4,7),(5,6),(8,15),(9,10),(11,12),(13,14),(16,31),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30)]
[(1,2),(4,5),(6,7),(8,13),(9,11),(10,12),(14,15),(16,29),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(30,31)]
[(1,4),(2,5),(3,6),(8,9),(10,14),(11,13),(12,15),(16,25),(17,21),(18,22),(19,23),(20,24),(26,30),(27,29),(28,31)]
[(1,8),(2,11),(3,10),(4,9),(5,13),(6,14),(7,12),(16,17),(18,26),(19,27),(20,28),(21,25),(22,30),(23,29),(24,31)]
[(1,16),(2,19),(3,18),(4,21),(5,23),(6,22),(7,20),(8,17),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30),(15,24)]
[(2,16),(5,18),(6,11),(7,17),(9,19),(10,21),(12,23),(13,26),(14,20),(15,25),(22,27),(30,31)]
[(0,13),(3,6),(4,5),(9,16),(11,21),(12,22),(14,15),(17,19),(18,32),(20,30),(26,28),(27,29)]
[(0,18),(5,10),(7,16),(11,17),(12,14),(13,32),(15,22),(19,21),(20,25),(23,26)]
[(6,11),(10,16),(12,18),(13,21),(14,15),(17,19),(20,23),(22,27)]
[(0,17),(8,14),(11,16),(12,13),(15,32),(18,21),(19,24),(20,22)]
[(13,20),(14,17),(15,19),(16,18)]
[(13,14),(15,16),(17,20),(18,19)]
[(14,17),(16,18)]
[(14,16),(17,18)]
[(16,17)]

Constructed from N+1 case
Auto generated
Median selection network for 34 inputs, 140 CEs, 18 layers (cost=248):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(19,23),(20,24),(21,25),(22,26),(27,31),(28,32),(29,33)]
[(0,11),(1,8),(2,12),(3,9),(4,13),(5,10),(6,14),(19,27),(20,29),(21,31),(22,33),(23,28),(24,30),(25,32)]
[(2,24),(3,7),(4,25),(5,11),(8,29),(9,31),(13,18),(15,20),(22,28),(26,30)]
[(0,15),(2,9),(3,27),(5,22),(6,30),(10,13),(11,28),(18,33),(20,23),(24,31)]
[(1,20),(7,23),(9,17),(10,26),(13,32),(16,24)]
[(6,13),(7,21),(12,26),(20,27)]
[(9,20),(12,18),(13,24),(15,21)]
[(6,12),(8,15),(11,20),(13,22),(18,25),(21,27)]
[(2,21),(4,15),(6,23),(10,27),(11,19),(12,31),(14,22),(18,29)]
[(4,19),(6,21),(12,27),(14,29),(15,17),(16,18)]
[(5,16),(6,19),(10,21),(12,23),(13,15),(14,27),(17,28),(18,20)]
[(10,13),(12,19),(14,21),(15,17),(16,18),(20,23)]
[(13,16),(14,15),(17,20),(18,19)]
[(12,16),(14,18),(15,19),(17,21)]
[(15,16),(17,18)]
[(15,17),(16,18)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 34 inputs, 141 CEs, 16 layers (cost=250):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(18,22),(19,23),(20,24),(21,25),(26,30),(27,31),(28,32),(29,33)]
[(0,8),(1,10),(2,9),(3,11),(4,12),(5,14),(6,13),(7,15),(18,26),(19,28),(20,27),(21,29),(22,30),(23,32),(24,31),(25,33)]
[(2,19),(3,23),(4,20),(5,24),(6,21),(7,25),(8,26),(9,28),(10,30),(12,27),(13,29),(14,31)]
[(2,18),(3,20),(5,9),(6,26),(7,27),(10,19),(11,21),(12,22),(13,30),(14,23),(15,31),(24,28)]
[(1,22),(4,18),(5,12),(7,24),(8,10),(9,26),(11,32),(13,14),(15,29),(19,20),(21,28),(23,25)]
[(1,3),(7,13),(9,19),(10,18),(14,24),(15,23),(20,26),(30,32)]
[(3,18),(9,22),(11,24),(13,17),(15,30),(16,20)]
[(7,16),(12,18),(15,21),(17,26)]
[(6,18),(11,16),(15,27),(17,22)]
[(13,17),(14,15),(16,20),(18,19)]
[(0,13),(11,18),(14,17),(15,22),(16,19),(20,33)]
[(13,18),(14,16),(15,20),(17,19)]
[(15,17),(16,18)]
[(15,16),(17,18)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 34 inputs, 142 CEs, 15 layers (cost=252):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(18,22),(19,23),(20,24),(21,25),(26,30),(27,31),(28,32),(29,33)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(24,32),(25,33)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(8,26),(9,27),(10,28),(11,29),(12,30),(13,31),(14,32),(15,33)]
[(2,4),(3,8),(5,26),(6,9),(7,28),(10,19),(12,20),(13,21),(14,23),(24,27),(25,30),(29,31)]
[(1,10),(7,13),(8,22),(9,19),(11,25),(12,18),(14,24),(15,21),(20,26),(23,32)]
[(4,8),(5,18),(7,26),(9,20),(11,16),(13,24),(15,28),(17,22),(25,29)]
[(6,8),(7,14),(10,18),(13,16),(15,23),(17,20),(19,26),(25,27)]
[(7,11),(8,9),(13,19),(14,20),(22,26),(24,25)]
[(9,18),(11,14),(13,17),(15,24),(16,20),(19,22)]
[(14,18),(15,19)]
[(11,15),(14,17),(16,19),(18,22)]
[(15,17),(16,18)]
[(15,16),(17,18)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 34 inputs, 143 CEs, 14 layers (cost=254):

[(0,33),(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32)]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32)]
[(1,5),(2,6),(3,7),(4,8),(9,13),(10,14),(11,15),(12,16),(17,21),(18,22),(19,23),(20,24),(25,29),(26,30),(27,31),(28,32)]
[(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(8,16),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(24,32)]
[(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30),(15,31),(16,32)]
[(3,17),(4,25),(6,11),(7,18),(8,29),(10,21),(12,23),(13,19),(14,20),(15,26),(16,30),(22,27)]
[(0,15),(2,6),(5,7),(8,14),(11,21),(12,22),(13,17),(16,20),(18,33),(19,25),(26,28),(27,31)]
[(0,18),(4,17),(7,10),(8,12),(11,19),(14,22),(15,33),(16,29),(21,25),(23,26)]
[(6,11),(8,18),(10,17),(12,14),(15,25),(16,23),(19,21),(22,27)]
[(0,19),(8,15),(9,12),(11,17),(14,33),(16,22),(18,25),(21,24)]
[(12,19),(14,21),(15,16),(17,18)]
[(12,15),(14,17),(16,19),(18,21)]
[(15,16),(17,18)]
[(15,17),(16,18)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 35 inputs, 143 CEs, 21 layers (cost=252):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(19,23),(20,24),(21,25),(22,26),(27,31),(28,32),(29,33)]
[(0,11),(1,8),(2,12),(3,9),(4,13),(5,10),(6,14),(19,27),(20,29),(21,31),(22,33),(23,28),(24,30),(25,32)]
[(2,24),(3,7),(4,25),(5,11),(8,29),(9,31),(13,18),(15,20),(22,28),(26,30)]
[(0,15),(2,9),(3,27),(5,22),(6,30),(10,13),(11,28),(18,33),(20,23),(24,31)]
[(1,20),(7,23),(9,17),(10,26),(13,32),(16,24)]
[(6,13),(7,21),(12,26),(20,27)]
[(9,20),(12,18),(13,24),(15,21)]
[(6,12),(8,15),(11,20),(13,22),(18,25),(21,27)]
[(2,21),(4,15),(6,23),(10,27),(11,19),(12,31),(14,22),(18,29)]
[(4,19),(6,21),(12,27),(14,29),(15,17),(16,18)]
[(5,16),(6,19),(10,21),(12,23),(13,15),(14,27),(17,28),(18,20)]
[(10,13),(12,19),(14,21),(15,17),(16,18),(20,23)]
[(13,16),(14,15),(17,20),(18,19)]
[(12,16),(14,18),(15,19),(17,21)]
[(15,16),(17,18)]
[(15,17),(16,18)]
[(16,17)]
[(17,34)]
[(16,17)]

Constructed from N-1 case
Auto generated
Median selection network for 35 inputs, 144 CEs, 19 layers (cost=254):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(18,22),(19,23),(20,24),(21,25),(26,30),(27,31),(28,32),(29,33)]
[(0,8),(1,10),(2,9),(3,11),(4,12),(5,14),(6,13),(7,15),(18,26),(19,28),(20,27),(21,29),(22,30),(23,32),(24,31),(25,33)]
[(2,19),(3,23),(4,20),(5,24),(6,21),(7,25),(8,26),(9,28),(10,30),(12,27),(13,29),(14,31)]
[(2,18),(3,20),(5,9),(6,26),(7,27),(10,19),(11,21),(12,22),(13,30),(14,23),(15,31),(24,28)]
[(1,22),(4,18),(5,12),(7,24),(8,10),(9,26),(11,32),(13,14),(15,29),(19,20),(21,28),(23,25)]
[(1,3),(7,13),(9,19),(10,18),(14,24),(15,23),(20,26),(30,32)]
[(3,18),(9,22),(11,24),(13,17),(15,30),(16,20)]
[(7,16),(12,18),(15,21),(17,26)]
[(6,18),(11,16),(15,27),(17,22)]
[(13,17),(14,15),(16,20),(18,19)]
[(0,13),(11,18),(14,17),(15,22),(16,19),(20,33)]
[(13,18),(14,16),(15,20),(17,19)]
[(15,17),(16,18)]
[(15,16),(17,18)]
[(16,17)]
[(17,34)]
[(16,17)]

Constructed from N-1 case
Auto generated
Median selection network for 35 inputs, 145 CEs, 18 layers (cost=256):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(18,22),(19,23),(20,24),(21,25),(26,30),(27,31),(28,32),(29,33)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(24,32),(25,33)]
[(0,18),(1,19),(2,20),(3,21),(4,22),(5,23),(6,24),(7,25),(8,26),(9,27),(10,28),(11,29),(12,30),(13,31),(14,32),(15,33)]
[(2,4),(3,8),(5,26),(6,9),(7,28),(10,19),(12,20),(13,21),(14,23),(24,27),(25,30),(29,31)]
[(1,10),(7,13),(8,22),(9,19),(11,25),(12,18),(14,24),(15,21),(20,26),(23,32)]
[(4,8),(5,18),(7,26),(9,20),(11,16),(13,24),(15,28),(17,22),(25,29)]
[(6,8),(7,14),(10,18),(13,16),(15,23),(17,20),(19,26),(25,27)]
[(7,11),(8,9),(13,19),(14,20),(22,26),(24,25)]
[(9,18),(11,14),(13,17),(15,24),(16,20),(19,22)]
[(14,18),(15,19)]
[(11,15),(14,17),(16,19),(18,22)]
[(15,17),(16,18)]
[(15,16),(17,18)]
[(16,17)]
[(17,34)]
[(16,17)]

Constructed from N-1 case
Auto generated
Median selection network for 35 inputs, 146 CEs, 17 layers (cost=258):

[(0,33),(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32)]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32)]
[(1,5),(2,6),(3,7),(4,8),(9,13),(10,14),(11,15),(12,16),(17,21),(18,22),(19,23),(20,24),(25,29),(26,30),(27,31),(28,32)]
[(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(8,16),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(24,32)]
[(1,17),(2,18),(3,19),(4,20),(5,21),(6,22),(7,23),(8,24),(9,25),(10,26),(11,27),(12,28),(13,29),(14,30),(15,31),(16,32)]
[(3,17),(4,25),(6,11),(7,18),(8,29),(10,21),(12,23),(13,19),(14,20),(15,26),(16,30),(22,27)]
[(0,15),(2,6),(5,7),(8,14),(11,21),(12,22),(13,17),(16,20),(18,33),(19,25),(26,28),(27,31)]
[(0,18),(4,17),(7,10),(8,12),(11,19),(14,22),(15,33),(16,29),(21,25),(23,26)]
[(6,11),(8,18),(10,17),(12,14),(15,25),(16,23),(19,21),(22,27)]
[(0,19),(8,15),(9,12),(11,17),(14,33),(16,22),(18,25),(21,24)]
[(12,19),(14,21),(15,16),(17,18)]
[(12,15),(14,17),(16,19),(18,21)]
[(15,16),(17,18)]
[(15,17),(16,18)]
[(16,17)]
[(17,34)]
[(16,17)]

Constructed from N-1 case
Auto generated
Median selection network for 35 inputs, 148 CEs, 16 layers (cost=262):

[(1,2),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13),(15,18),(16,17),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34)]
[(0,1),(3,4),(5,6),(7,12),(8,10),(9,11),(13,14),(15,16),(17,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34)]
[(0,3),(1,4),(2,5),(7,8),(9,13),(10,12),(11,14),(19,23),(20,24),(21,25),(22,26),(27,31),(28,32),(29,33),(30,34)]
[(0,7),(1,9),(2,8),(3,10),(4,11),(5,12),(6,13),(19,27),(20,29),(21,31),(22,33),(23,28),(24,30),(25,32),(26,34)]
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,14),(12,13),(15,19),(20,21),(22,28),(23,27),(24,31),(25,29),(26,33),(30,32)]
[(0,29),(1,21),(2,27),(3,20),(4,22),(5,34),(6,24),(7,23),(8,28),(10,31),(11,33),(12,32),(13,30),(14,26)]
[(5,25),(8,10),(9,29),(11,13),(12,14),(20,27),(21,23),(22,24)]
[(6,20),(8,22),(10,24),(11,17),(12,18),(13,31),(16,27),(19,23)]
[(4,19),(5,8),(9,10),(11,21),(12,17),(14,27),(16,23),(18,28),(22,25),(24,29)]
[(8,21),(9,16),(10,23),(12,22),(13,18),(14,24),(17,25),(19,20)]
[(8,19),(10,20),(13,22),(14,16),(17,21),(18,24)]
[(10,12),(13,17),(14,19),(16,20),(18,21),(22,23)]
[(12,19),(13,16),(17,20),(18,22)]
[(16,19),(17,18)]
[(16,17),(18,19)]
[(17,18)]

Constructed from N+1 case
Auto generated
Median selection network for 36 inputs, 150 CEs, 18 layers (cost=266):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(20,24),(21,25),(22,26),(23,27),(28,32),(29,33),(30,34),(31,35)]
[(0,8),(1,12),(2,9),(3,13),(4,10),(5,14),(6,11),(7,15),(20,28),(21,30),(22,32),(23,34),(24,29),(25,31),(26,33),(27,35)]
[(0,30),(3,25),(4,8),(5,35),(6,12),(10,32),(14,19),(16,21),(23,29),(27,31)]
[(1,16),(3,10),(4,28),(5,26),(6,23),(7,31),(9,30),(11,14),(12,29),(19,34),(21,24),(25,32)]
[(2,21),(8,24),(10,18),(11,27),(14,33),(17,25)]
[(7,14),(8,22),(13,27),(21,28)]
[(10,21),(13,19),(14,25),(16,22)]
[(7,13),(9,16),(12,21),(14,23),(19,26),(22,28)]
[(3,22),(5,16),(7,24),(11,28),(12,20),(13,32),(15,23),(19,30)]
[(5,20),(7,22),(13,28),(15,30),(16,18),(17,19)]
[(6,17),(7,20),(11,22),(13,24),(14,16),(15,28),(18,29),(19,21)]
[(11,14),(13,20),(15,22),(16,18),(17,19),(21,24)]
[(14,17),(15,16),(18,21),(19,20)]
[(13,17),(15,19),(16,20),(18,22)]
[(16,17),(18,19)]
[(16,18),(17,19)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 36 inputs, 152 CEs, 15 layers (cost=270):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(20,24),(21,25),(22,26),(23,27),(28,32),(29,33),(30,34),(31,35)]
[(0,8),(1,12),(2,9),(3,13),(4,10),(5,14),(6,11),(7,15),(20,28),(21,30),(22,32),(23,34),(24,29),(25,31),(26,33),(27,35)]
[(1,8),(2,4),(3,10),(5,9),(6,12),(7,11),(13,14),(15,19),(16,20),(21,22),(23,29),(24,28),(25,32),(26,30),(27,34),(31,33)]
[(0,30),(1,28),(2,22),(3,25),(4,21),(5,35),(6,23),(7,34),(8,24),(10,32),(11,27),(12,29),(13,33),(14,31)]
[(5,26),(7,14),(9,30),(10,12),(11,13),(21,28),(22,24),(23,25)]
[(3,21),(7,17),(10,23),(11,15),(12,25),(14,32),(18,28),(20,24)]
[(5,10),(6,20),(7,22),(9,12),(11,17),(13,28),(15,29),(18,24),(23,26),(25,30)]
[(9,18),(10,22),(11,23),(12,24),(13,25),(14,15),(17,26),(20,21)]
[(10,20),(12,21),(13,18),(14,23),(15,25),(17,22)]
[(11,12),(13,20),(14,17),(15,22),(18,21),(23,24)]
[(12,20),(14,18),(15,23),(17,21)]
[(15,17),(18,20)]
[(15,18),(17,20)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 37 inputs, 153 CEs, 21 layers (cost=270):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(20,24),(21,25),(22,26),(23,27),(28,32),(29,33),(30,34),(31,35)]
[(0,8),(1,12),(2,9),(3,13),(4,10),(5,14),(6,11),(7,15),(20,28),(21,30),(22,32),(23,34),(24,29),(25,31),(26,33),(27,35)]
[(0,30),(3,25),(4,8),(5,35),(6,12),(10,32),(14,19),(16,21),(23,29),(27,31)]
[(1,16),(3,10),(4,28),(5,26),(6,23),(7,31),(9,30),(11,14),(12,29),(19,34),(21,24),(25,32)]
[(2,21),(8,24),(10,18),(11,27),(14,33),(17,25)]
[(7,14),(8,22),(13,27),(21,28)]
[(10,21),(13,19),(14,25),(16,22)]
[(7,13),(9,16),(12,21),(14,23),(19,26),(22,28)]
[(3,22),(5,16),(7,24),(11,28),(12,20),(13,32),(15,23),(19,30)]
[(5,20),(7,22),(13,28),(15,30),(16,18),(17,19)]
[(6,17),(7,20),(11,22),(13,24),(14,16),(15,28),(18,29),(19,21)]
[(11,14),(13,20),(15,22),(16,18),(17,19),(21,24)]
[(14,17),(15,16),(18,21),(19,20)]
[(13,17),(15,19),(16,20),(18,22)]
[(16,17),(18,19)]
[(16,18),(17,19)]
[(17,18)]
[(18,36)]
[(17,18)]

Constructed from N-1 case
Auto generated
Median selection network for 37 inputs, 155 CEs, 18 layers (cost=274):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(20,24),(21,25),(22,26),(23,27),(28,32),(29,33),(30,34),(31,35)]
[(0,8),(1,12),(2,9),(3,13),(4,10),(5,14),(6,11),(7,15),(20,28),(21,30),(22,32),(23,34),(24,29),(25,31),(26,33),(27,35)]
[(1,8),(2,4),(3,10),(5,9),(6,12),(7,11),(13,14),(15,19),(16,20),(21,22),(23,29),(24,28),(25,32),(26,30),(27,34),(31,33)]
[(0,30),(1,28),(2,22),(3,25),(4,21),(5,35),(6,23),(7,34),(8,24),(10,32),(11,27),(12,29),(13,33),(14,31)]
[(5,26),(7,14),(9,30),(10,12),(11,13),(21,28),(22,24),(23,25)]
[(3,21),(7,17),(10,23),(11,15),(12,25),(14,32),(18,28),(20,24)]
[(5,10),(6,20),(7,22),(9,12),(11,17),(13,28),(15,29),(18,24),(23,26),(25,30)]
[(9,18),(10,22),(11,23),(12,24),(13,25),(14,15),(17,26),(20,21)]
[(10,20),(12,21),(13,18),(14,23),(15,25),(17,22)]
[(11,12),(13,20),(14,17),(15,22),(18,21),(23,24)]
[(12,20),(14,18),(15,23),(17,21)]
[(15,17),(18,20)]
[(15,18),(17,20)]
[(17,18)]
[(18,36)]
[(17,18)]

Constructed from N-1 case
Auto generated
Median selection network for 37 inputs, 162 CEs, 17 layers (cost=288):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(17,19),(18,20),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36)]
[(0,25),(1,24),(2,11),(3,27),(4,9),(5,29),(6,30),(7,31),(8,32),(10,34),(13,36),(14,22),(15,23),(26,35),(28,33)]
[(2,28),(4,26),(5,8),(6,13),(9,35),(10,20),(11,33),(17,27),(24,31),(29,32)]
[(0,24),(1,17),(5,23),(6,10),(8,21),(9,11),(14,32),(16,29),(20,36),(26,28),(27,31)]
[(3,17),(6,24),(8,25),(9,23),(10,19),(12,29),(13,31),(14,28),(18,27),(20,34)]
[(2,18),(6,7),(8,17),(10,26),(11,27),(12,24),(13,25),(14,21),(16,23),(19,35),(20,29),(30,31)]
[(4,16),(7,17),(11,18),(12,23),(14,25),(19,26),(20,30),(21,33)]
[(10,12),(11,17),(13,16),(14,18),(19,23),(20,26),(21,24),(25,27)]
[(9,13),(12,19),(16,17),(18,25),(20,21),(24,28)]
[(12,14),(13,16),(17,18),(19,20),(21,24),(23,25)]
[(14,16),(17,19),(18,20),(21,23)]
[(16,19),(18,21)]
[(16,18),(19,21)]
[(18,19)]

Constructed from N+1 case
Auto generated
Median selection network for 37 inputs, 168 CEs, 16 layers (cost=300):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,17),(16,18),(19,21),(20,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,19),(16,20),(17,21),(18,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,16),(17,18),(19,20),(21,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(17,19),(18,20),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36)]
[(0,24),(1,25),(2,26),(3,27),(4,28),(5,29),(6,30),(7,31),(8,32),(9,33),(10,34),(11,35),(12,36),(14,22),(15,23),(16,19),(18,21)]
[(1,17),(2,11),(3,7),(4,9),(5,8),(6,10),(12,13),(20,36),(24,25),(26,35),(27,31),(28,33),(29,32),(30,34)]
[(0,27),(2,23),(4,20),(6,19),(8,11),(9,25),(12,28),(13,21),(14,35),(16,24),(17,33),(18,31),(26,29)]
[(5,9),(7,16),(8,24),(10,20),(11,25),(12,26),(13,29),(14,19),(17,27),(18,23),(21,30),(28,32)]
[(4,8),(6,12),(9,23),(10,24),(11,17),(13,27),(14,28),(16,18),(19,21),(20,26),(25,31),(29,33)]
[(5,13),(6,8),(9,18),(10,20),(12,14),(17,27),(19,28),(23,25),(24,32),(29,31)]
[(8,18),(12,13),(14,20),(17,23),(19,29),(24,25)]
[(10,23),(12,17),(13,18),(14,27),(19,24),(20,25)]
[(10,13),(14,19),(18,23),(24,27)]
[(13,18),(14,17),(19,24),(20,23)]
[(17,18),(19,20)]
[(18,19)]

Constructed from N+2 case
Auto generated
Median selection network for 38 inputs, 164 CEs, 17 layers (cost=292):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37)]
[(0,3),(1,7),(2,26),(4,9),(5,29),(6,12),(8,32),(10,13),(11,35),(14,22),(15,23),(24,27),(25,31),(28,33),(30,36),(34,37)]
[(1,25),(2,11),(3,27),(4,28),(5,8),(6,30),(7,31),(9,33),(10,34),(12,36),(26,35),(29,32)]
[(0,7),(5,23),(6,10),(8,20),(9,25),(12,28),(14,32),(17,29),(27,31),(30,37)]
[(6,19),(7,24),(8,17),(10,21),(13,30),(16,27),(18,31),(20,29)]
[(3,16),(4,8),(6,9),(10,24),(12,20),(13,27),(14,19),(17,25),(18,23),(21,34),(28,31),(29,33)]
[(2,18),(8,10),(9,16),(13,17),(19,35),(20,24),(21,28),(27,29)]
[(10,23),(11,20),(12,16),(13,18),(14,27),(17,26),(19,24),(21,25)]
[(10,18),(11,23),(14,26),(19,27)]
[(14,17),(16,18),(19,21),(20,23)]
[(11,16),(12,14),(17,18),(19,20),(21,26),(23,25)]
[(14,16),(17,19),(18,20),(21,23)]
[(16,18),(19,21)]
[(16,19),(18,21)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 38 inputs, 166 CEs, 16 layers (cost=296):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(17,19),(18,20),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37)]
[(0,25),(1,24),(2,11),(3,27),(4,9),(5,29),(6,30),(7,31),(8,32),(10,34),(12,37),(13,36),(14,22),(15,23),(26,35),(28,33)]
[(2,28),(4,26),(5,8),(6,13),(9,35),(10,20),(11,33),(17,27),(24,31),(29,32)]
[(0,24),(1,17),(5,23),(6,10),(8,21),(9,11),(13,37),(14,32),(16,29),(20,36),(26,28),(27,31)]
[(3,17),(6,24),(8,25),(9,23),(10,19),(12,29),(13,31),(14,28),(18,27),(20,34)]
[(2,18),(6,7),(8,17),(10,26),(11,27),(12,24),(13,25),(14,21),(16,23),(19,35),(20,29),(30,31)]
[(4,16),(7,17),(11,18),(12,23),(14,25),(19,26),(20,30),(21,33)]
[(10,12),(11,17),(13,16),(14,18),(19,23),(20,26),(21,24),(25,27)]
[(9,13),(12,19),(16,17),(18,25),(20,21),(24,28)]
[(12,14),(13,16),(17,18),(19,20),(21,24),(23,25)]
[(14,16),(17,19),(18,20),(21,23)]
[(16,19),(18,21)]
[(16,18),(19,21)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 38 inputs, 172 CEs, 15 layers (cost=308):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,17),(16,18),(19,21),(20,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,19),(16,20),(17,21),(18,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,16),(17,18),(19,20),(21,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(17,19),(18,20),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37)]
[(0,24),(1,25),(2,26),(3,27),(4,28),(5,29),(6,30),(7,31),(8,32),(9,33),(10,34),(11,35),(12,36),(13,37),(14,22),(15,23),(16,19),(18,21)]
[(1,17),(2,11),(3,7),(4,9),(5,8),(6,10),(12,13),(20,36),(24,25),(26,35),(27,31),(28,33),(29,32),(30,34)]
[(0,27),(2,23),(4,20),(6,19),(8,11),(9,25),(10,37),(12,28),(13,21),(14,35),(16,24),(17,33),(18,31),(26,29)]
[(5,9),(7,16),(8,24),(10,20),(11,25),(12,26),(13,29),(14,19),(17,27),(18,23),(21,30),(28,32)]
[(4,8),(6,12),(9,23),(10,24),(11,17),(13,27),(14,28),(16,18),(19,21),(20,26),(25,31),(29,33)]
[(5,13),(6,8),(9,18),(10,20),(12,14),(17,27),(19,28),(23,25),(24,32),(29,31)]
[(8,18),(12,13),(14,20),(17,23),(19,29),(24,25)]
[(10,23),(12,17),(13,18),(14,27),(19,24),(20,25)]
[(10,13),(14,19),(18,23),(24,27)]
[(13,18),(14,17),(19,24),(20,23)]
[(17,18),(19,20)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 39 inputs, 167 CEs, 20 layers (cost=296):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37)]
[(0,3),(1,7),(2,26),(4,9),(5,29),(6,12),(8,32),(10,13),(11,35),(14,22),(15,23),(24,27),(25,31),(28,33),(30,36),(34,37)]
[(1,25),(2,11),(3,27),(4,28),(5,8),(6,30),(7,31),(9,33),(10,34),(12,36),(26,35),(29,32)]
[(0,7),(5,23),(6,10),(8,20),(9,25),(12,28),(14,32),(17,29),(27,31),(30,37)]
[(6,19),(7,24),(8,17),(10,21),(13,30),(16,27),(18,31),(20,29)]
[(3,16),(4,8),(6,9),(10,24),(12,20),(13,27),(14,19),(17,25),(18,23),(21,34),(28,31),(29,33)]
[(2,18),(8,10),(9,16),(13,17),(19,35),(20,24),(21,28),(27,29)]
[(10,23),(11,20),(12,16),(13,18),(14,27),(17,26),(19,24),(21,25)]
[(10,18),(11,23),(14,26),(19,27)]
[(14,17),(16,18),(19,21),(20,23)]
[(11,16),(12,14),(17,18),(19,20),(21,26),(23,25)]
[(14,16),(17,19),(18,20),(21,23)]
[(16,18),(19,21)]
[(16,19),(18,21)]
[(18,19)]
[(19,38)]
[(18,19)]

Constructed from N-1 case
Auto generated
Median selection network for 39 inputs, 169 CEs, 19 layers (cost=300):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(17,19),(18,20),(23,31),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37)]
[(0,25),(1,24),(2,11),(3,27),(4,9),(5,29),(6,30),(7,31),(8,32),(10,34),(12,37),(13,36),(14,22),(15,23),(26,35),(28,33)]
[(2,28),(4,26),(5,8),(6,13),(9,35),(10,20),(11,33),(17,27),(24,31),(29,32)]
[(0,24),(1,17),(5,23),(6,10),(8,21),(9,11),(13,37),(14,32),(16,29),(20,36),(26,28),(27,31)]
[(3,17),(6,24),(8,25),(9,23),(10,19),(12,29),(13,31),(14,28),(18,27),(20,34)]
[(2,18),(6,7),(8,17),(10,26),(11,27),(12,24),(13,25),(14,21),(16,23),(19,35),(20,29),(30,31)]
[(4,16),(7,17),(11,18),(12,23),(14,25),(19,26),(20,30),(21,33)]
[(10,12),(11,17),(13,16),(14,18),(19,23),(20,26),(21,24),(25,27)]
[(9,13),(12,19),(16,17),(18,25),(20,21),(24,28)]
[(12,14),(13,16),(17,18),(19,20),(21,24),(23,25)]
[(14,16),(17,19),(18,20),(21,23)]
[(16,19),(18,21)]
[(16,18),(19,21)]
[(18,19)]
[(19,38)]
[(18,19)]

Constructed from N-1 case
Auto generated
Median selection network for 39 inputs, 170 CEs, 18 layers (cost=302):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38)]
[(1,4),(2,8),(3,27),(5,10),(6,30),(7,13),(9,33),(11,14),(12,36),(15,23),(16,24),(25,28),(26,32),(29,34),(31,37),(35,38)]
[(2,26),(3,12),(4,28),(5,29),(6,9),(7,31),(8,32),(10,34),(11,35),(13,37),(27,36),(30,33)]
[(0,3),(1,8),(6,24),(7,11),(9,21),(10,26),(13,29),(15,33),(18,30),(28,32),(31,38)]
[(7,20),(8,25),(9,18),(11,22),(14,31),(17,28),(19,32),(21,30)]
[(4,17),(5,9),(7,10),(11,25),(13,21),(14,28),(15,20),(18,26),(19,24),(22,35),(29,32),(30,34)]
[(3,19),(9,11),(10,17),(14,18),(20,36),(21,25),(22,29),(28,30)]
[(11,24),(12,21),(13,17),(14,19),(15,28),(18,27),(20,25),(22,26)]
[(11,19),(12,24),(15,27),(20,28)]
[(15,18),(17,19),(20,22),(21,24)]
[(12,17),(13,15),(18,19),(20,21),(22,27),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,19),(20,22)]
[(17,20),(19,22)]
[(19,20)]

Constructed from N+1 case
Auto generated
Median selection network for 39 inputs, 172 CEs, 17 layers (cost=306):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38)]
[(1,26),(2,25),(3,12),(4,28),(5,10),(6,30),(7,31),(8,32),(9,33),(11,35),(13,38),(14,37),(15,23),(16,24),(27,36),(29,34)]
[(0,8),(3,29),(5,27),(6,9),(7,14),(10,36),(11,21),(12,34),(18,28),(25,32),(30,33)]
[(1,25),(2,18),(6,24),(7,11),(9,22),(10,12),(14,38),(15,33),(17,30),(21,37),(27,29),(28,32)]
[(4,18),(7,25),(9,26),(10,24),(11,20),(13,30),(14,32),(15,29),(19,28),(21,35)]
[(3,19),(7,8),(9,18),(11,27),(12,28),(13,25),(14,26),(15,22),(17,24),(20,36),(21,30),(31,32)]
[(5,17),(8,18),(12,19),(13,24),(15,26),(20,27),(21,31),(22,34)]
[(11,13),(12,18),(14,17),(15,19),(20,24),(21,27),(22,25),(26,28)]
[(10,14),(13,20),(17,18),(19,26),(21,22),(25,29)]
[(13,15),(14,17),(18,19),(20,21),(22,25),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,20),(19,22)]
[(17,19),(20,22)]
[(19,20)]

Constructed from N+1 case
Auto generated
Median selection network for 39 inputs, 178 CEs, 16 layers (cost=318):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,18),(17,19),(20,22),(21,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,20),(17,21),(18,22),(19,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,17),(18,19),(20,21),(22,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38)]
[(0,24),(1,25),(2,26),(3,27),(4,28),(5,29),(6,30),(7,31),(8,32),(9,33),(10,34),(11,35),(12,36),(13,37),(14,38),(15,23),(17,20),(19,22)]
[(2,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(16,24),(21,37),(25,26),(27,36),(28,32),(29,34),(30,33),(31,35)]
[(1,28),(3,24),(5,21),(7,20),(9,12),(10,26),(11,38),(13,29),(14,22),(15,36),(17,25),(18,34),(19,32),(27,30)]
[(6,10),(8,17),(9,25),(11,21),(12,26),(13,27),(14,30),(15,20),(18,28),(19,24),(22,31),(29,33)]
[(5,9),(7,13),(10,24),(11,25),(12,18),(14,28),(15,29),(17,19),(20,22),(21,27),(26,32),(30,34)]
[(6,14),(7,9),(10,19),(11,21),(13,15),(18,28),(20,29),(24,26),(25,33),(30,32)]
[(9,19),(13,14),(15,21),(18,24),(20,30),(25,26)]
[(11,24),(13,18),(14,19),(15,28),(20,25),(21,26)]
[(11,14),(15,20),(19,24),(25,28)]
[(14,19),(15,18),(20,25),(21,24)]
[(18,19),(20,21)]
[(19,20)]

Constructed from N+1 case
Auto generated
Median selection network for 40 inputs, 174 CEs, 17 layers (cost=310):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(1,4),(2,8),(3,27),(5,10),(6,30),(7,13),(9,33),(11,14),(12,36),(15,23),(16,24),(25,28),(26,32),(29,34),(31,37),(35,38)]
[(2,26),(3,12),(4,28),(5,29),(6,9),(7,31),(8,32),(10,34),(11,35),(13,37),(27,36),(30,33)]
[(0,3),(1,8),(6,24),(7,11),(9,21),(10,26),(13,29),(15,33),(18,30),(28,32),(31,38),(36,39)]
[(7,20),(8,25),(9,18),(11,22),(14,31),(17,28),(19,32),(21,30)]
[(4,17),(5,9),(7,10),(11,25),(13,21),(14,28),(15,20),(18,26),(19,24),(22,35),(29,32),(30,34)]
[(3,19),(9,11),(10,17),(14,18),(20,36),(21,25),(22,29),(28,30)]
[(11,24),(12,21),(13,17),(14,19),(15,28),(18,27),(20,25),(22,26)]
[(11,19),(12,24),(15,27),(20,28)]
[(15,18),(17,19),(20,22),(21,24)]
[(12,17),(13,15),(18,19),(20,21),(22,27),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,19),(20,22)]
[(17,20),(19,22)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 40 inputs, 176 CEs, 16 layers (cost=314):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(1,26),(2,25),(3,12),(4,28),(5,10),(6,30),(7,31),(8,32),(9,33),(11,35),(13,38),(14,37),(15,23),(16,24),(27,36),(29,34)]
[(0,8),(3,29),(5,27),(6,9),(7,14),(10,36),(11,21),(12,34),(18,28),(25,32),(30,33),(31,39)]
[(1,25),(2,18),(6,24),(7,11),(9,22),(10,12),(14,38),(15,33),(17,30),(21,37),(27,29),(28,32)]
[(4,18),(7,25),(9,26),(10,24),(11,20),(13,30),(14,32),(15,29),(19,28),(21,35)]
[(3,19),(7,8),(9,18),(11,27),(12,28),(13,25),(14,26),(15,22),(17,24),(20,36),(21,30),(31,32)]
[(5,17),(8,18),(12,19),(13,24),(15,26),(20,27),(21,31),(22,34)]
[(11,13),(12,18),(14,17),(15,19),(20,24),(21,27),(22,25),(26,28)]
[(10,14),(13,20),(17,18),(19,26),(21,22),(25,29)]
[(13,15),(14,17),(18,19),(20,21),(22,25),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,20),(19,22)]
[(17,19),(20,22)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 40 inputs, 182 CEs, 15 layers (cost=326):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,18),(17,19),(20,22),(21,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,20),(17,21),(18,22),(19,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,17),(18,19),(20,21),(22,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(0,24),(1,25),(2,26),(3,27),(4,28),(5,29),(6,30),(7,31),(8,32),(9,33),(10,34),(11,35),(12,36),(13,37),(14,38),(15,39),(17,20),(19,22)]
[(2,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(15,23),(16,24),(21,37),(25,26),(27,36),(28,32),(29,34),(30,33),(31,35)]
[(1,28),(3,24),(5,21),(7,20),(9,12),(10,26),(11,38),(13,29),(14,22),(15,36),(17,25),(18,34),(19,32),(27,30)]
[(6,10),(8,17),(9,25),(11,21),(12,26),(13,27),(14,30),(15,20),(18,28),(19,24),(22,31),(29,33)]
[(5,9),(7,13),(10,24),(11,25),(12,18),(14,28),(15,29),(17,19),(20,22),(21,27),(26,32),(30,34)]
[(6,14),(7,9),(10,19),(11,21),(13,15),(18,28),(20,29),(24,26),(25,33),(30,32)]
[(9,19),(13,14),(15,21),(18,24),(20,30),(25,26)]
[(11,24),(13,18),(14,19),(15,28),(20,25),(21,26)]
[(11,14),(15,20),(19,24),(25,28)]
[(14,19),(15,18),(20,25),(21,24)]
[(18,19),(20,21)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 41 inputs, 177 CEs, 20 layers (cost=314):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(1,4),(2,8),(3,27),(5,10),(6,30),(7,13),(9,33),(11,14),(12,36),(15,23),(16,24),(25,28),(26,32),(29,34),(31,37),(35,38)]
[(2,26),(3,12),(4,28),(5,29),(6,9),(7,31),(8,32),(10,34),(11,35),(13,37),(27,36),(30,33)]
[(0,3),(1,8),(6,24),(7,11),(9,21),(10,26),(13,29),(15,33),(18,30),(28,32),(31,38),(36,39)]
[(7,20),(8,25),(9,18),(11,22),(14,31),(17,28),(19,32),(21,30)]
[(4,17),(5,9),(7,10),(11,25),(13,21),(14,28),(15,20),(18,26),(19,24),(22,35),(29,32),(30,34)]
[(3,19),(9,11),(10,17),(14,18),(20,36),(21,25),(22,29),(28,30)]
[(11,24),(12,21),(13,17),(14,19),(15,28),(18,27),(20,25),(22,26)]
[(11,19),(12,24),(15,27),(20,28)]
[(15,18),(17,19),(20,22),(21,24)]
[(12,17),(13,15),(18,19),(20,21),(22,27),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,19),(20,22)]
[(17,20),(19,22)]
[(19,20)]
[(20,40)]
[(19,20)]

Constructed from N-1 case
Auto generated
Median selection network for 41 inputs, 179 CEs, 19 layers (cost=318):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(1,26),(2,25),(3,12),(4,28),(5,10),(6,30),(7,31),(8,32),(9,33),(11,35),(13,38),(14,37),(15,23),(16,24),(27,36),(29,34)]
[(0,8),(3,29),(5,27),(6,9),(7,14),(10,36),(11,21),(12,34),(18,28),(25,32),(30,33),(31,39)]
[(1,25),(2,18),(6,24),(7,11),(9,22),(10,12),(14,38),(15,33),(17,30),(21,37),(27,29),(28,32)]
[(4,18),(7,25),(9,26),(10,24),(11,20),(13,30),(14,32),(15,29),(19,28),(21,35)]
[(3,19),(7,8),(9,18),(11,27),(12,28),(13,25),(14,26),(15,22),(17,24),(20,36),(21,30),(31,32)]
[(5,17),(8,18),(12,19),(13,24),(15,26),(20,27),(21,31),(22,34)]
[(11,13),(12,18),(14,17),(15,19),(20,24),(21,27),(22,25),(26,28)]
[(10,14),(13,20),(17,18),(19,26),(21,22),(25,29)]
[(13,15),(14,17),(18,19),(20,21),(22,25),(24,26)]
[(15,17),(18,20),(19,21),(22,24)]
[(17,20),(19,22)]
[(17,19),(20,22)]
[(19,20)]
[(20,40)]
[(19,20)]

Constructed from N-1 case
Auto generated
Median selection network for 41 inputs, 185 CEs, 18 layers (cost=330):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,18),(17,19),(20,22),(21,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,20),(17,21),(18,22),(19,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,17),(18,19),(20,21),(22,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(18,20),(19,21),(24,32),(25,33),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39)]
[(0,24),(1,25),(2,26),(3,27),(4,28),(5,29),(6,30),(7,31),(8,32),(9,33),(10,34),(11,35),(12,36),(13,37),(14,38),(15,39),(17,20),(19,22)]
[(2,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(15,23),(16,24),(21,37),(25,26),(27,36),(28,32),(29,34),(30,33),(31,35)]
[(1,28),(3,24),(5,21),(7,20),(9,12),(10,26),(11,38),(13,29),(14,22),(15,36),(17,25),(18,34),(19,32),(27,30)]
[(6,10),(8,17),(9,25),(11,21),(12,26),(13,27),(14,30),(15,20),(18,28),(19,24),(22,31),(29,33)]
[(5,9),(7,13),(10,24),(11,25),(12,18),(14,28),(15,29),(17,19),(20,22),(21,27),(26,32),(30,34)]
[(6,14),(7,9),(10,19),(11,21),(13,15),(18,28),(20,29),(24,26),(25,33),(30,32)]
[(9,19),(13,14),(15,21),(18,24),(20,30),(25,26)]
[(11,24),(13,18),(14,19),(15,28),(20,25),(21,26)]
[(11,14),(15,20),(19,24),(25,28)]
[(14,19),(15,18),(20,25),(21,24)]
[(18,19),(20,21)]
[(19,20)]
[(20,40)]
[(19,20)]

Constructed from N-1 case
Auto generated
Median selection network for 41 inputs, 194 CEs, 17 layers (cost=348):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,23),(16,24),(17,25),(18,26),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,19),(16,20),(17,23),(18,24),(21,25),(22,26),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(14,26),(15,27),(16,19),(17,21),(20,24),(22,25)]
[(0,17),(2,11),(3,7),(4,9),(5,8),(6,10),(12,13),(18,22),(19,23),(24,25),(28,29),(30,39),(31,35),(32,37),(33,36),(34,38)]
[(1,7),(2,4),(8,31),(9,11),(10,33),(12,22),(16,17),(18,21),(19,29),(20,23),(30,32),(34,40),(37,39)]
[(6,20),(8,19),(9,16),(10,24),(11,27),(13,23),(14,30),(17,31),(18,28),(21,35),(22,33),(25,32)]
[(2,6),(4,13),(5,18),(7,17),(10,14),(12,16),(19,21),(20,22),(23,36),(24,34),(25,29),(27,31),(28,37),(35,39)]
[(4,17),(6,12),(10,18),(11,19),(13,25),(14,20),(16,28),(21,27),(22,30),(23,31),(24,37),(29,35)]
[(9,10),(12,18),(13,21),(14,16),(17,19),(20,28),(22,24),(23,29),(25,27),(31,32)]
[(6,14),(10,12),(16,22),(18,20),(19,25),(21,23),(27,35),(29,31)]
[(12,19),(14,21),(16,23),(18,25),(20,27),(22,29)]
[(16,18),(19,21),(20,22),(23,25)]
[(18,20),(21,23)]
[(18,21),(20,23)]
[(20,21)]

Constructed from N+2 case
Auto generated
Median selection network for 42 inputs, 191 CEs, 21 layers (cost=342):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,22),(17,23),(18,24),(19,25),(26,30),(27,31),(28,32),(29,33),(34,38),(35,39),(36,40),(37,41)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41)]
[(0,26),(1,27),(2,28),(3,29),(4,30),(5,31),(6,32),(7,33),(8,34),(9,35),(10,36),(11,37),(12,38),(13,39),(14,40),(15,41)]
[(2,16),(3,17),(4,8),(5,22),(10,27),(12,20),(14,31),(19,36),(21,29),(24,38),(25,39),(33,37)]
[(1,8),(7,19),(14,24),(17,27),(18,20),(21,23),(22,34),(33,40)]
[(5,22),(6,21),(7,30),(8,26),(11,34),(12,17),(15,33),(19,36),(20,35),(24,29)]
[(5,10),(7,12),(11,17),(13,21),(15,25),(16,26),(20,28),(24,30),(29,34),(31,36)]
[(9,24),(11,20),(14,26),(15,27),(17,32),(21,30)]
[(6,11),(9,14),(17,18),(23,24),(27,32),(30,35)]
[(10,17),(11,14),(13,18),(23,28),(24,31),(27,30)]
[(3,14),(12,23),(13,20),(17,22),(18,29),(19,24),(21,28),(27,38)]
[(11,12),(14,22),(18,21),(19,27),(20,23),(29,30)]
[(3,20),(12,13),(18,19),(21,38),(22,23),(28,29)]
[(13,14),(15,19),(17,20),(21,24),(22,26),(27,28)]
[(14,20),(18,22),(19,23),(21,27)]
[(14,22),(15,20),(19,27),(21,26)]
[(15,21),(20,26)]
[(19,21),(20,22)]
[(19,20),(21,22)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 42 inputs, 192 CEs, 17 layers (cost=344):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,23),(16,24),(17,25),(18,26),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40),(37,41)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,19),(16,20),(17,23),(18,24),(21,25),(22,26),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(17,21),(18,22),(19,23),(20,24)]
[(0,7),(1,27),(3,17),(5,31),(6,22),(8,21),(10,36),(12,25),(13,18),(14,40),(16,29),(19,35),(20,33),(23,28),(24,38),(34,41)]
[(4,13),(5,15),(6,29),(7,17),(9,23),(10,20),(12,35),(18,32),(21,31),(24,34),(26,36),(28,37)]
[(4,12),(6,11),(8,15),(9,19),(14,24),(17,27),(22,32),(26,33),(29,37),(30,35)]
[(2,12),(4,16),(6,19),(11,28),(13,30),(14,20),(15,23),(18,26),(21,27),(22,35),(25,37),(29,39)]
[(2,21),(8,19),(10,27),(11,13),(12,18),(14,31),(15,16),(20,39),(22,33),(23,29),(25,26),(28,30)]
[(10,11),(12,23),(13,14),(16,21),(18,29),(20,25),(27,28),(30,31)]
[(11,12),(14,18),(19,21),(20,22),(23,27),(29,30)]
[(12,14),(13,20),(16,19),(21,28),(22,25),(27,29)]
[(12,19),(13,23),(14,20),(18,28),(21,27),(22,29)]
[(14,21),(18,22),(19,23),(20,27)]
[(18,20),(21,23)]
[(18,21),(20,23)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 42 inputs, 198 CEs, 16 layers (cost=356):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,23),(16,24),(17,25),(18,26),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40),(37,41)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,19),(16,20),(17,23),(18,24),(21,25),(22,26),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,26),(15,27),(16,19),(17,21),(20,24),(22,25)]
[(0,17),(2,11),(3,7),(4,9),(5,8),(6,10),(12,13),(18,22),(19,23),(24,41),(28,29),(30,39),(31,35),(32,37),(33,36),(34,38)]
[(1,7),(2,4),(8,31),(9,11),(10,33),(12,22),(16,17),(18,21),(19,29),(20,23),(24,25),(30,32),(34,40),(37,39)]
[(6,20),(8,19),(9,16),(10,24),(11,27),(13,23),(14,30),(17,31),(18,28),(21,35),(22,33),(25,32)]
[(2,6),(4,13),(5,18),(7,17),(10,14),(12,16),(19,21),(20,22),(23,36),(24,34),(25,29),(27,31),(28,37),(35,39)]
[(4,17),(6,12),(10,18),(11,19),(13,25),(14,20),(16,28),(21,27),(22,30),(23,31),(24,37),(29,35)]
[(9,10),(12,18),(13,21),(14,16),(17,19),(20,28),(22,24),(23,29),(25,27),(31,32)]
[(6,14),(10,12),(16,22),(18,20),(19,25),(21,23),(27,35),(29,31)]
[(12,19),(14,21),(16,23),(18,25),(20,27),(22,29)]
[(16,18),(19,21),(20,22),(23,25)]
[(18,20),(21,23)]
[(18,21),(20,23)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 43 inputs, 194 CEs, 24 layers (cost=346):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,22),(17,23),(18,24),(19,25),(26,30),(27,31),(28,32),(29,33),(34,38),(35,39),(36,40),(37,41)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(26,34),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41)]
[(0,26),(1,27),(2,28),(3,29),(4,30),(5,31),(6,32),(7,33),(8,34),(9,35),(10,36),(11,37),(12,38),(13,39),(14,40),(15,41)]
[(2,16),(3,17),(4,8),(5,22),(10,27),(12,20),(14,31),(19,36),(21,29),(24,38),(25,39),(33,37)]
[(1,8),(7,19),(14,24),(17,27),(18,20),(21,23),(22,34),(33,40)]
[(5,22),(6,21),(7,30),(8,26),(11,34),(12,17),(15,33),(19,36),(20,35),(24,29)]
[(5,10),(7,12),(11,17),(13,21),(15,25),(16,26),(20,28),(24,30),(29,34),(31,36)]
[(9,24),(11,20),(14,26),(15,27),(17,32),(21,30)]
[(6,11),(9,14),(17,18),(23,24),(27,32),(30,35)]
[(10,17),(11,14),(13,18),(23,28),(24,31),(27,30)]
[(3,14),(12,23),(13,20),(17,22),(18,29),(19,24),(21,28),(27,38)]
[(11,12),(14,22),(18,21),(19,27),(20,23),(29,30)]
[(3,20),(12,13),(18,19),(21,38),(22,23),(28,29)]
[(13,14),(15,19),(17,20),(21,24),(22,26),(27,28)]
[(14,20),(18,22),(19,23),(21,27)]
[(14,22),(15,20),(19,27),(21,26)]
[(15,21),(20,26)]
[(19,21),(20,22)]
[(19,20),(21,22)]
[(20,21)]
[(21,42)]
[(20,21)]

Constructed from N-1 case
Auto generated
Median selection network for 43 inputs, 195 CEs, 20 layers (cost=348):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,23),(16,24),(17,25),(18,26),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40),(37,41)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,19),(16,20),(17,23),(18,24),(21,25),(22,26),(27,35),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(17,21),(18,22),(19,23),(20,24)]
[(0,7),(1,27),(3,17),(5,31),(6,22),(8,21),(10,36),(12,25),(13,18),(14,40),(16,29),(19,35),(20,33),(23,28),(24,38),(34,41)]
[(4,13),(5,15),(6,29),(7,17),(9,23),(10,20),(12,35),(18,32),(21,31),(24,34),(26,36),(28,37)]
[(4,12),(6,11),(8,15),(9,19),(14,24),(17,27),(22,32),(26,33),(29,37),(30,35)]
[(2,12),(4,16),(6,19),(11,28),(13,30),(14,20),(15,23),(18,26),(21,27),(22,35),(25,37),(29,39)]
[(2,21),(8,19),(10,27),(11,13),(12,18),(14,31),(15,16),(20,39),(22,33),(23,29),(25,26),(28,30)]
[(10,11),(12,23),(13,14),(16,21),(18,29),(20,25),(27,28),(30,31)]
[(11,12),(14,18),(19,21),(20,22),(23,27),(29,30)]
[(12,14),(13,20),(16,19),(21,28),(22,25),(27,29)]
[(12,19),(13,23),(14,20),(18,28),(21,27),(22,29)]
[(14,21),(18,22),(19,23),(20,27)]
[(18,20),(21,23)]
[(18,21),(20,23)]
[(20,21)]
[(21,42)]
[(20,21)]

Constructed from N-1 case
Auto generated
Median selection network for 43 inputs, 198 CEs, 18 layers (cost=354):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(18,22),(19,23),(20,24),(21,25)]
[(1,8),(2,28),(4,18),(6,32),(7,23),(9,22),(11,37),(13,26),(14,19),(15,41),(17,30),(20,36),(21,34),(24,29),(25,39),(35,42)]
[(5,14),(6,16),(7,30),(8,18),(10,24),(11,21),(13,36),(19,33),(22,32),(25,35),(27,37),(29,38)]
[(5,13),(7,12),(9,16),(10,20),(15,25),(18,28),(23,33),(27,34),(30,38),(31,36)]
[(3,13),(5,17),(7,20),(12,29),(14,31),(15,21),(16,24),(19,27),(22,28),(23,36),(26,38),(30,40)]
[(3,22),(9,20),(11,28),(12,14),(13,19),(15,32),(16,17),(21,40),(23,34),(24,30),(26,27),(29,31)]
[(11,12),(13,24),(14,15),(17,22),(19,30),(21,26),(28,29),(31,32)]
[(12,13),(15,19),(20,22),(21,23),(24,28),(30,31)]
[(13,15),(14,21),(17,20),(22,29),(23,26),(28,30)]
[(13,20),(14,24),(15,21),(19,29),(22,28),(23,30)]
[(15,22),(19,23),(20,24),(21,28)]
[(19,21),(22,24)]
[(19,22),(21,24)]
[(21,22)]

Constructed from N+1 case
Auto generated
Median selection network for 43 inputs, 204 CEs, 17 layers (cost=366):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(15,27),(17,20),(18,22),(21,25),(23,26)]
[(1,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(16,28),(19,23),(20,24),(25,42),(29,30),(31,40),(32,36),(33,38),(34,37),(35,39)]
[(2,8),(3,5),(9,32),(10,12),(11,34),(13,23),(17,18),(19,22),(20,30),(21,24),(25,26),(31,33),(35,41),(38,40)]
[(7,21),(9,20),(10,17),(11,25),(12,28),(14,24),(15,31),(18,32),(19,29),(22,36),(23,34),(26,33)]
[(3,7),(5,14),(6,19),(8,18),(11,15),(13,17),(20,22),(21,23),(24,37),(25,35),(26,30),(28,32),(29,38),(36,40)]
[(5,18),(7,13),(11,19),(12,20),(14,26),(15,21),(17,29),(22,28),(23,31),(24,32),(25,38),(30,36)]
[(10,11),(13,19),(14,22),(15,17),(18,20),(21,29),(23,25),(24,30),(26,28),(32,33)]
[(7,15),(11,13),(17,23),(19,21),(20,26),(22,24),(28,36),(30,32)]
[(13,20),(15,22),(17,24),(19,26),(21,28),(23,30)]
[(17,19),(20,22),(21,23),(24,26)]
[(19,21),(22,24)]
[(19,22),(21,24)]
[(21,22)]

Constructed from N+1 case
Auto generated
Median selection network for 44 inputs, 202 CEs, 17 layers (cost=362):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42),(35,43)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(15,43),(18,22),(19,23),(20,24),(21,25)]
[(1,8),(2,28),(4,18),(6,32),(7,23),(9,22),(11,37),(13,26),(14,19),(15,41),(17,30),(20,36),(21,34),(24,29),(25,39),(35,42)]
[(5,14),(6,16),(7,30),(8,18),(10,24),(11,21),(13,36),(19,33),(22,32),(25,35),(27,37),(29,38)]
[(5,13),(7,12),(9,16),(10,20),(15,25),(18,28),(23,33),(27,34),(30,38),(31,36)]
[(3,13),(5,17),(7,20),(12,29),(14,31),(15,21),(16,24),(19,27),(22,28),(23,36),(26,38),(30,40)]
[(3,22),(9,20),(11,28),(12,14),(13,19),(15,32),(16,17),(21,40),(23,34),(24,30),(26,27),(29,31)]
[(11,12),(13,24),(14,15),(17,22),(19,30),(21,26),(28,29),(31,32)]
[(12,13),(15,19),(20,22),(21,23),(24,28),(30,31)]
[(13,15),(14,21),(17,20),(22,29),(23,26),(28,30)]
[(13,20),(14,24),(15,21),(19,29),(22,28),(23,30)]
[(15,22),(19,23),(20,24),(21,28)]
[(19,21),(22,24)]
[(19,22),(21,24)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 44 inputs, 208 CEs, 16 layers (cost=374):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42),(35,43)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(15,43),(17,20),(18,22),(21,25),(23,26)]
[(1,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(15,27),(16,28),(19,23),(20,24),(25,42),(29,30),(31,40),(32,36),(33,38),(34,37),(35,39)]
[(2,8),(3,5),(9,32),(10,12),(11,34),(13,23),(17,18),(19,22),(20,30),(21,24),(25,26),(31,33),(35,41),(38,40)]
[(7,21),(9,20),(10,17),(11,25),(12,28),(14,24),(15,31),(18,32),(19,29),(22,36),(23,34),(26,33)]
[(3,7),(5,14),(6,19),(8,18),(11,15),(13,17),(20,22),(21,23),(24,37),(25,35),(26,30),(28,32),(29,38),(36,40)]
[(5,18),(7,13),(11,19),(12,20),(14,26),(15,21),(17,29),(22,28),(23,31),(24,32),(25,38),(30,36)]
[(10,11),(13,19),(14,22),(15,17),(18,20),(21,29),(23,25),(24,30),(26,28),(32,33)]
[(7,15),(11,13),(17,23),(19,21),(20,26),(22,24),(28,36),(30,32)]
[(13,20),(15,22),(17,24),(19,26),(21,28),(23,30)]
[(17,19),(20,22),(21,23),(24,26)]
[(19,21),(22,24)]
[(19,22),(21,24)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 45 inputs, 205 CEs, 20 layers (cost=366):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42),(35,43)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(15,43),(18,22),(19,23),(20,24),(21,25)]
[(1,8),(2,28),(4,18),(6,32),(7,23),(9,22),(11,37),(13,26),(14,19),(15,41),(17,30),(20,36),(21,34),(24,29),(25,39),(35,42)]
[(5,14),(6,16),(7,30),(8,18),(10,24),(11,21),(13,36),(19,33),(22,32),(25,35),(27,37),(29,38)]
[(5,13),(7,12),(9,16),(10,20),(15,25),(18,28),(23,33),(27,34),(30,38),(31,36)]
[(3,13),(5,17),(7,20),(12,29),(14,31),(15,21),(16,24),(19,27),(22,28),(23,36),(26,38),(30,40)]
[(3,22),(9,20),(11,28),(12,14),(13,19),(15,32),(16,17),(21,40),(23,34),(24,30),(26,27),(29,31)]
[(11,12),(13,24),(14,15),(17,22),(19,30),(21,26),(28,29),(31,32)]
[(12,13),(15,19),(20,22),(21,23),(24,28),(30,31)]
[(13,15),(14,21),(17,20),(22,29),(23,26),(28,30)]
[(13,20),(14,24),(15,21),(19,29),(22,28),(23,30)]
[(15,22),(19,23),(20,24),(21,28)]
[(19,21),(22,24)]
[(19,22),(21,24)]
[(21,22)]
[(22,44)]
[(21,22)]

Constructed from N-1 case
Auto generated
Median selection network for 45 inputs, 211 CEs, 19 layers (cost=378):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,24),(17,25),(18,26),(19,27),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,20),(17,21),(18,24),(19,25),(22,26),(23,27),(28,36),(29,37),(30,38),(31,39),(32,40),(33,41),(34,42),(35,43)]
[(0,28),(1,29),(2,30),(3,31),(4,32),(5,33),(6,34),(7,35),(8,36),(9,37),(10,38),(11,39),(12,40),(13,41),(14,42),(15,43),(17,20),(18,22),(21,25),(23,26)]
[(1,18),(3,12),(4,8),(5,10),(6,9),(7,11),(13,14),(15,27),(16,28),(19,23),(20,24),(25,42),(29,30),(31,40),(32,36),(33,38),(34,37),(35,39)]
[(2,8),(3,5),(9,32),(10,12),(11,34),(13,23),(17,18),(19,22),(20,30),(21,24),(25,26),(31,33),(35,41),(38,40)]
[(7,21),(9,20),(10,17),(11,25),(12,28),(14,24),(15,31),(18,32),(19,29),(22,36),(23,34),(26,33)]
[(3,7),(5,14),(6,19),(8,18),(11,15),(13,17),(20,22),(21,23),(24,37),(25,35),(26,30),(28,32),(29,38),(36,40)]
[(5,18),(7,13),(11,19),(12,20),(14,26),(15,21),(17,29),(22,28),(23,31),(24,32),(25,38),(30,36)]
[(10,11),(13,19),(14,22),(15,17),(18,20),(21,29),(23,25),(24,30),(26,28),(32,33)]
[(7,15),(11,13),(17,23),(19,21),(20,26),(22,24),(28,36),(30,32)]
[(13,20),(15,22),(17,24),(19,26),(21,28),(23,30)]
[(17,19),(20,22),(21,23),(24,26)]
[(19,21),(22,24)]
[(19,22),(21,24)]
[(21,22)]
[(22,44)]
[(21,22)]

Constructed from N-1 case
Auto generated
Median selection network for 45 inputs, 220 CEs, 18 layers (cost=396):

[(0,11),(1,12),(3,7),(4,5),(6,10),(8,9),(15,28),(16,27),(17,30),(18,29),(19,23),(20,21),(22,26),(24,25),(31,33),(32,43),(34,44),(35,39),(36,37),(38,42),(40,41)]
[(0,6),(1,8),(2,3),(4,14),(5,7),(9,12),(10,11),(13,37),(15,20),(16,22),(17,24),(18,19),(21,28),(23,29),(25,30),(26,27),(31,40),(32,38),(33,41),(34,35),(39,44),(42,43)]
[(0,4),(1,2),(3,14),(6,8),(9,10),(11,12),(13,39),(15,16),(17,18),(19,20),(21,23),(22,24),(25,26),(27,28),(29,30),(31,34),(33,42),(35,36),(37,43),(38,40),(41,44)]
[(0,1),(2,4),(3,9),(5,6),(7,8),(10,14),(13,38),(15,17),(16,18),(19,25),(20,26),(21,22),(23,24),(27,29),(28,30),(32,34),(33,35),(36,42),(37,41),(39,40),(43,44)]
[(0,15),(1,2),(3,5),(4,11),(6,10),(7,9),(8,14),(13,33),(16,17),(18,27),(19,21),(20,22),(23,25),(24,26),(28,29),(30,44),(31,32),(34,37),(35,39),(36,38),(40,42),(41,43)]
[(1,3),(2,5),(4,18),(6,7),(8,12),(9,10),(13,31),(16,19),(17,21),(20,23),(22,25),(24,28),(26,29),(27,37),(32,33),(35,36),(38,39),(40,41),(42,43)]
[(1,13),(2,32),(4,34),(6,35),(7,23),(8,24),(10,39),(11,37),(12,41),(14,26),(19,31),(21,33),(22,38),(29,43)]
[(2,19),(3,31),(4,21),(5,33),(8,40),(9,22),(10,25),(11,27),(12,28),(13,16),(14,42),(17,32),(18,34),(20,35),(23,36),(24,37),(26,41)]
[(5,21),(6,20),(7,23),(8,15),(9,16),(10,32),(11,31),(12,35),(14,34),(22,38),(24,40),(25,39),(29,36),(30,33)]
[(3,29),(7,21),(10,12),(11,20),(15,18),(16,42),(24,38),(25,34),(27,30),(32,35)]
[(10,20),(12,21),(14,16),(15,17),(18,22),(23,27),(24,32),(25,35),(28,30),(29,31)]
[(5,24),(12,19),(14,23),(16,27),(17,20),(18,29),(21,40),(22,31),(25,28),(26,32)]
[(16,20),(21,22),(23,24),(25,29)]
[(16,19),(18,23),(20,21),(22,27),(24,25),(26,29)]
[(19,23),(20,24),(21,25),(22,26)]
[(21,23),(22,24)]
[(21,22),(23,24)]
[(22,23)]

Constructed from N+2 case
Auto generated
Median selection network for 46 inputs, 218 CEs, 22 layers (cost=392):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37),(34,38),(39,43),(40,44),(41,45)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(31,39),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(19,23),(20,24),(21,25),(22,26)]
[(2,16),(4,39),(5,24),(6,41),(9,17),(11,20),(13,22),(21,40),(23,32),(25,34),(28,36),(29,43)]
[(0,11),(2,7),(3,9),(4,19),(5,16),(12,13),(17,25),(20,28),(26,41),(29,40),(32,33),(34,45),(36,42),(38,43)]
[(6,25),(7,35),(9,23),(10,38),(12,32),(13,33),(20,39),(22,36)]
[(6,18),(7,12),(8,23),(10,24),(17,20),(21,35),(22,37),(25,28),(27,39),(33,38)]
[(1,21),(10,29),(12,15),(13,20),(14,28),(16,35),(17,31),(24,44),(25,32),(30,33)]
[(8,31),(10,15),(11,13),(14,37),(30,35),(32,34)]
[(5,31),(6,11),(10,21),(13,19),(14,40),(24,35),(26,32),(34,39)]
[(11,27),(13,21),(18,34),(19,22),(23,26),(24,32)]
[(14,22),(15,21),(16,19),(23,31),(24,30),(26,29)]
[(11,16),(14,26),(15,23),(18,24),(19,31),(21,27),(22,30),(29,34)]
[(14,18),(16,23),(20,24),(21,25),(22,29),(27,31)]
[(18,22),(19,25),(20,26),(23,27)]
[(18,20),(21,23),(22,24),(25,27)]
[(18,25),(19,23),(20,27),(22,26)]
[(14,23),(22,31)]
[(20,22),(23,25)]
[(20,23),(22,25)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 46 inputs, 220 CEs, 20 layers (cost=396):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37),(34,38),(39,43),(40,44),(41,45)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(31,39),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(18,24),(21,27)]
[(0,15),(2,9),(5,19),(8,17),(10,24),(12,29),(13,20),(16,33),(21,35),(25,32),(26,40),(28,37),(30,45),(36,43)]
[(1,21),(2,23),(4,13),(6,26),(8,16),(9,18),(12,20),(19,39),(22,43),(24,44),(25,33),(27,36),(29,37),(32,41)]
[(2,3),(4,23),(6,11),(9,31),(10,33),(12,35),(14,36),(18,26),(19,27),(22,41),(34,39),(42,43)]
[(3,25),(6,10),(12,32),(13,33),(14,18),(15,19),(16,23),(20,42),(22,29),(26,30),(27,31),(35,39)]
[(4,25),(5,16),(7,27),(10,22),(11,13),(12,21),(14,28),(17,31),(18,38),(20,41),(23,35),(24,33),(29,40),(32,34)]
[(10,23),(11,21),(13,31),(14,32),(16,27),(18,29),(22,35),(24,34)]
[(6,11),(12,14),(17,21),(24,28),(31,33),(34,39)]
[(10,17),(11,19),(21,23),(22,24),(26,34),(28,35)]
[(13,22),(17,27),(18,28),(19,25),(20,26),(23,32)]
[(13,19),(14,17),(18,20),(21,23),(22,24),(25,27),(26,32),(28,31)]
[(17,27),(18,28),(19,21),(24,26)]
[(17,21),(18,23),(22,27),(24,28)]
[(18,22),(20,24),(21,25),(23,27)]
[(20,22),(23,25)]
[(20,23),(22,25)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 46 inputs, 222 CEs, 18 layers (cost=400):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(44,45)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,23),(16,20),(17,21),(18,26),(19,27),(22,30),(24,28),(25,29),(31,39),(32,36),(33,37),(34,42),(35,43),(40,44),(41,45)]
[(0,8),(1,9),(3,7),(4,12),(5,13),(6,10),(11,18),(16,24),(17,25),(19,23),(20,28),(21,29),(22,26),(27,34),(32,40),(33,41),(35,39),(36,44),(37,45),(38,42)]
[(0,29),(1,23),(2,27),(4,8),(5,9),(7,17),(10,30),(11,33),(12,34),(14,26),(15,35),(16,45),(18,43),(19,31),(20,24),(21,25),(22,44),(28,38),(36,40),(37,41)]
[(0,35),(1,32),(3,16),(4,36),(5,21),(6,28),(9,41),(10,45),(12,22),(13,44),(17,39),(23,33),(24,40),(29,42)]
[(5,24),(9,25),(10,33),(12,35),(13,29),(16,32),(18,23),(20,36),(21,40),(22,27)]
[(2,23),(4,20),(5,16),(6,32),(7,12),(9,31),(11,24),(13,39),(14,36),(21,34),(22,43),(25,41),(29,40),(33,38)]
[(6,18),(8,24),(9,17),(10,23),(11,12),(13,14),(21,37),(22,35),(27,39),(28,36),(31,32),(33,34)]
[(8,21),(10,13),(12,16),(14,23),(22,31),(24,37),(29,33),(32,35)]
[(2,16),(8,18),(10,20),(14,21),(17,22),(23,28),(24,31),(25,35),(27,37),(29,43)]
[(13,24),(16,20),(18,22),(21,32),(23,27),(25,29)]
[(13,16),(14,21),(20,22),(23,25),(24,31),(29,32)]
[(14,18),(16,20),(21,23),(22,24),(25,29),(27,31)]
[(18,20),(21,22),(23,24),(25,27)]
[(20,23),(22,25)]
[(20,22),(23,25)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 46 inputs, 225 CEs, 17 layers (cost=406):

[(0,11),(1,14),(2,13),(3,7),(4,5),(6,10),(8,9),(12,15),(16,27),(18,29),(19,23),(20,21),(22,26),(24,25),(30,33),(31,44),(32,43),(34,45),(35,39),(36,37),(38,42),(40,41)]
[(0,6),(1,8),(2,3),(4,12),(5,15),(7,13),(9,14),(10,11),(16,22),(17,24),(18,19),(21,28),(23,29),(26,27),(30,40),(31,36),(32,38),(33,41),(34,35),(37,44),(39,45),(42,43)]
[(0,4),(1,2),(3,12),(5,7),(6,8),(9,10),(11,15),(13,14),(17,18),(19,20),(21,23),(22,24),(25,26),(27,28),(30,34),(31,32),(33,42),(35,36),(37,39),(38,40),(41,45),(43,44)]
[(0,1),(2,4),(3,9),(5,6),(7,8),(10,12),(11,13),(14,15),(16,18),(19,25),(20,26),(21,22),(23,24),(27,29),(30,31),(32,34),(33,35),(36,42),(37,38),(39,40),(41,43),(44,45)]
[(0,30),(1,2),(3,5),(4,11),(6,10),(7,9),(8,12),(13,14),(15,45),(16,17),(18,27),(19,21),(20,22),(23,25),(24,26),(28,29),(31,32),(33,37),(34,41),(35,39),(36,38),(40,42),(43,44)]
[(1,3),(2,5),(4,18),(6,7),(8,13),(9,10),(12,14),(16,19),(17,21),(20,23),(22,25),(24,28),(26,29),(27,41),(31,33),(32,37),(35,36),(38,39),(40,43),(42,44)]
[(1,31),(2,32),(4,34),(6,35),(7,23),(8,24),(10,39),(11,41),(12,26),(13,43),(14,44),(19,33),(21,37),(22,38)]
[(2,19),(3,33),(4,21),(5,37),(8,40),(9,22),(10,25),(11,27),(12,42),(13,28),(14,29),(16,31),(17,32),(18,34),(20,35),(23,36),(24,41),(26,43)]
[(5,21),(6,20),(7,23),(8,30),(9,31),(10,32),(11,33),(12,34),(13,35),(14,36),(15,37),(22,38),(24,40),(25,39)]
[(3,14),(7,21),(10,13),(11,20),(15,27),(18,30),(24,38),(25,34),(31,42),(32,35)]
[(10,20),(12,31),(13,21),(14,33),(15,23),(17,18),(22,30),(24,32),(25,35),(27,28)]
[(5,24),(12,15),(13,19),(14,22),(18,20),(21,40),(23,31),(25,27),(26,32),(30,33)]
[(15,24),(20,23),(21,30),(22,25)]
[(14,15),(19,20),(21,23),(22,24),(25,26),(30,31)]
[(15,20),(21,22),(23,24),(25,30)]
[(20,23),(22,25)]
[(20,22),(23,25)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 47 inputs, 221 CEs, 25 layers (cost=396):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37),(34,38),(39,43),(40,44),(41,45)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(31,39),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(19,23),(20,24),(21,25),(22,26)]
[(2,16),(4,39),(5,24),(6,41),(9,17),(11,20),(13,22),(21,40),(23,32),(25,34),(28,36),(29,43)]
[(0,11),(2,7),(3,9),(4,19),(5,16),(12,13),(17,25),(20,28),(26,41),(29,40),(32,33),(34,45),(36,42),(38,43)]
[(6,25),(7,35),(9,23),(10,38),(12,32),(13,33),(20,39),(22,36)]
[(6,18),(7,12),(8,23),(10,24),(17,20),(21,35),(22,37),(25,28),(27,39),(33,38)]
[(1,21),(10,29),(12,15),(13,20),(14,28),(16,35),(17,31),(24,44),(25,32),(30,33)]
[(8,31),(10,15),(11,13),(14,37),(30,35),(32,34)]
[(5,31),(6,11),(10,21),(13,19),(14,40),(24,35),(26,32),(34,39)]
[(11,27),(13,21),(18,34),(19,22),(23,26),(24,32)]
[(14,22),(15,21),(16,19),(23,31),(24,30),(26,29)]
[(11,16),(14,26),(15,23),(18,24),(19,31),(21,27),(22,30),(29,34)]
[(14,18),(16,23),(20,24),(21,25),(22,29),(27,31)]
[(18,22),(19,25),(20,26),(23,27)]
[(18,20),(21,23),(22,24),(25,27)]
[(18,25),(19,23),(20,27),(22,26)]
[(14,23),(22,31)]
[(20,22),(23,25)]
[(20,23),(22,25)]
[(22,23)]
[(23,46)]
[(22,23)]

Constructed from N-1 case
Auto generated
Median selection network for 47 inputs, 223 CEs, 23 layers (cost=400):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(23,27),(24,28),(25,29),(26,30),(31,35),(32,36),(33,37),(34,38),(39,43),(40,44),(41,45)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,23),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(31,39),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(18,24),(21,27)]
[(0,15),(2,9),(5,19),(8,17),(10,24),(12,29),(13,20),(16,33),(21,35),(25,32),(26,40),(28,37),(30,45),(36,43)]
[(1,21),(2,23),(4,13),(6,26),(8,16),(9,18),(12,20),(19,39),(22,43),(24,44),(25,33),(27,36),(29,37),(32,41)]
[(2,3),(4,23),(6,11),(9,31),(10,33),(12,35),(14,36),(18,26),(19,27),(22,41),(34,39),(42,43)]
[(3,25),(6,10),(12,32),(13,33),(14,18),(15,19),(16,23),(20,42),(22,29),(26,30),(27,31),(35,39)]
[(4,25),(5,16),(7,27),(10,22),(11,13),(12,21),(14,28),(17,31),(18,38),(20,41),(23,35),(24,33),(29,40),(32,34)]
[(10,23),(11,21),(13,31),(14,32),(16,27),(18,29),(22,35),(24,34)]
[(6,11),(12,14),(17,21),(24,28),(31,33),(34,39)]
[(10,17),(11,19),(21,23),(22,24),(26,34),(28,35)]
[(13,22),(17,27),(18,28),(19,25),(20,26),(23,32)]
[(13,19),(14,17),(18,20),(21,23),(22,24),(25,27),(26,32),(28,31)]
[(17,27),(18,28),(19,21),(24,26)]
[(17,21),(18,23),(22,27),(24,28)]
[(18,22),(20,24),(21,25),(23,27)]
[(20,22),(23,25)]
[(20,23),(22,25)]
[(22,23)]
[(23,46)]
[(22,23)]

Constructed from N-1 case
Auto generated
Median selection network for 47 inputs, 225 CEs, 21 layers (cost=404):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(44,45)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,23),(16,20),(17,21),(18,26),(19,27),(22,30),(24,28),(25,29),(31,39),(32,36),(33,37),(34,42),(35,43),(40,44),(41,45)]
[(0,8),(1,9),(3,7),(4,12),(5,13),(6,10),(11,18),(16,24),(17,25),(19,23),(20,28),(21,29),(22,26),(27,34),(32,40),(33,41),(35,39),(36,44),(37,45),(38,42)]
[(0,29),(1,23),(2,27),(4,8),(5,9),(7,17),(10,30),(11,33),(12,34),(14,26),(15,35),(16,45),(18,43),(19,31),(20,24),(21,25),(22,44),(28,38),(36,40),(37,41)]
[(0,35),(1,32),(3,16),(4,36),(5,21),(6,28),(9,41),(10,45),(12,22),(13,44),(17,39),(23,33),(24,40),(29,42)]
[(5,24),(9,25),(10,33),(12,35),(13,29),(16,32),(18,23),(20,36),(21,40),(22,27)]
[(2,23),(4,20),(5,16),(6,32),(7,12),(9,31),(11,24),(13,39),(14,36),(21,34),(22,43),(25,41),(29,40),(33,38)]
[(6,18),(8,24),(9,17),(10,23),(11,12),(13,14),(21,37),(22,35),(27,39),(28,36),(31,32),(33,34)]
[(8,21),(10,13),(12,16),(14,23),(22,31),(24,37),(29,33),(32,35)]
[(2,16),(8,18),(10,20),(14,21),(17,22),(23,28),(24,31),(25,35),(27,37),(29,43)]
[(13,24),(16,20),(18,22),(21,32),(23,27),(25,29)]
[(13,16),(14,21),(20,22),(23,25),(24,31),(29,32)]
[(14,18),(16,20),(21,23),(22,24),(25,29),(27,31)]
[(18,20),(21,22),(23,24),(25,27)]
[(20,23),(22,25)]
[(20,22),(23,25)]
[(22,23)]
[(23,46)]
[(22,23)]

Constructed from N-1 case
Auto generated
Median selection network for 47 inputs, 228 CEs, 19 layers (cost=410):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(45,46)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,24),(17,21),(18,22),(19,27),(20,28),(23,31),(25,29),(26,30),(32,40),(33,37),(34,38),(35,43),(36,44),(41,45),(42,46)]
[(0,32),(1,9),(2,10),(4,8),(5,13),(6,14),(7,11),(12,19),(17,25),(18,26),(20,24),(21,29),(22,30),(23,27),(28,35),(33,41),(34,42),(36,40),(37,45),(38,46),(39,43)]
[(1,30),(2,24),(3,28),(5,9),(6,10),(8,18),(11,31),(12,34),(13,35),(15,27),(16,36),(17,46),(19,44),(20,32),(21,25),(22,26),(23,45),(29,39),(37,41),(38,42)]
[(1,36),(2,33),(4,17),(5,37),(6,22),(7,29),(10,42),(11,46),(13,23),(14,45),(18,40),(24,34),(25,41),(30,43)]
[(6,25),(10,26),(11,34),(13,36),(14,30),(17,33),(19,24),(21,37),(22,41),(23,28)]
[(3,24),(5,21),(6,17),(7,33),(8,13),(10,32),(12,25),(14,40),(15,37),(22,35),(23,44),(26,42),(30,41),(34,39)]
[(7,19),(9,25),(10,18),(11,24),(12,13),(14,15),(22,38),(23,36),(28,40),(29,37),(32,33),(34,35)]
[(9,22),(11,14),(13,17),(15,24),(23,32),(25,38),(30,34),(33,36)]
[(3,17),(9,19),(11,21),(15,22),(18,23),(24,29),(25,32),(26,36),(28,38),(30,44)]
[(14,25),(17,21),(19,23),(22,33),(24,28),(26,30)]
[(14,17),(15,22),(21,23),(24,26),(25,32),(30,33)]
[(15,19),(17,21),(22,24),(23,25),(26,30),(28,32)]
[(19,21),(22,23),(24,25),(26,28)]
[(21,24),(23,26)]
[(21,23),(24,26)]
[(23,24)]

Constructed from N+1 case
Auto generated
Median selection network for 47 inputs, 232 CEs, 18 layers (cost=418):

[(1,12),(2,13),(3,14),(4,8),(5,6),(7,11),(9,10),(15,18),(16,29),(17,28),(19,30),(20,24),(21,22),(23,27),(25,26),(31,34),(32,45),(33,44),(35,46),(36,40),(37,38),(39,43),(41,42)]
[(0,5),(1,7),(2,9),(3,4),(8,14),(10,13),(11,12),(15,25),(16,21),(17,23),(18,26),(19,20),(22,29),(24,30),(27,28),(31,41),(32,37),(33,39),(34,42),(35,36),(38,45),(40,46),(43,44)]
[(0,1),(2,3),(4,5),(6,8),(7,9),(10,11),(13,14),(15,19),(16,17),(18,27),(20,21),(22,24),(23,25),(26,30),(28,29),(31,35),(32,33),(34,43),(36,37),(38,40),(39,41),(42,46),(44,45)]
[(0,2),(1,3),(4,10),(5,11),(6,7),(8,9),(12,13),(15,16),(17,19),(18,20),(21,27),(22,23),(24,25),(26,28),(29,30),(31,32),(33,35),(34,36),(37,43),(38,39),(40,41),(42,44),(45,46)]
[(1,2),(3,12),(4,6),(5,7),(8,10),(9,11),(13,14),(15,31),(16,17),(18,22),(19,26),(20,24),(21,23),(25,27),(28,29),(30,46),(32,33),(34,38),(35,42),(36,40),(37,39),(41,43),(44,45)]
[(0,15),(1,4),(2,6),(3,19),(5,8),(7,10),(9,13),(11,14),(16,18),(17,22),(20,21),(23,24),(25,28),(26,42),(27,29),(32,34),(33,38),(36,37),(39,40),(41,44),(43,45)]
[(1,32),(2,33),(3,35),(5,36),(8,21),(9,25),(10,40),(11,27),(12,42),(13,44),(14,45),(15,31),(18,34),(22,38),(23,39)]
[(2,18),(3,22),(4,34),(6,38),(7,23),(9,41),(10,24),(11,43),(12,26),(13,28),(14,29),(16,32),(17,33),(19,35),(20,36),(21,37),(25,42),(27,44)]
[(5,20),(6,22),(7,32),(8,21),(9,31),(10,33),(11,35),(12,34),(13,36),(14,37),(23,39),(24,40),(25,41),(30,38)]
[(4,14),(8,22),(10,13),(12,20),(19,31),(24,35),(25,39),(26,30),(32,43),(33,36)]
[(10,20),(11,32),(13,22),(14,34),(17,19),(21,26),(23,31),(24,36),(25,33),(28,30)]
[(6,25),(11,21),(13,18),(14,23),(19,20),(22,41),(24,28),(26,32),(27,33),(31,34)]
[(20,26),(21,25),(22,31),(23,24)]
[(14,21),(18,20),(22,26),(23,25),(24,27),(31,32)]
[(20,21),(22,23),(24,31),(25,26)]
[(21,25),(23,24)]
[(21,23),(24,25)]
[(23,24)]

Constructed from N+1 case
Auto generated
Median selection network for 48 inputs, 228 CEs, 22 layers (cost=410):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39),(40,44),(41,45),(42,46),(43,47)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45),(38,46),(39,47)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(14,46),(15,47),(20,24),(21,25),(22,26),(23,27)]
[(3,17),(5,40),(6,25),(7,42),(10,18),(12,21),(14,23),(22,41),(24,33),(26,35),(29,37),(30,44)]
[(1,12),(3,8),(4,10),(5,20),(6,17),(13,14),(18,26),(21,29),(27,42),(30,41),(33,34),(35,46),(37,43),(39,44)]
[(7,26),(8,36),(10,24),(11,39),(13,33),(14,34),(21,40),(23,37)]
[(7,19),(8,13),(9,24),(11,25),(18,21),(22,36),(23,38),(26,29),(28,40),(34,39)]
[(2,22),(11,30),(13,16),(14,21),(15,29),(17,36),(18,32),(25,45),(26,33),(31,34)]
[(9,32),(11,16),(12,14),(15,38),(31,36),(33,35)]
[(6,32),(7,12),(11,22),(14,20),(15,41),(25,36),(27,33),(35,40)]
[(12,28),(14,22),(19,35),(20,23),(24,27),(25,33)]
[(15,23),(16,22),(17,20),(24,32),(25,31),(27,30)]
[(12,17),(15,27),(16,24),(19,25),(20,32),(22,28),(23,31),(30,35)]
[(15,19),(17,24),(21,25),(22,26),(23,30),(28,32)]
[(19,23),(20,26),(21,27),(24,28)]
[(19,21),(22,24),(23,25),(26,28)]
[(19,26),(20,24),(21,28),(23,27)]
[(15,24),(23,32)]
[(21,23),(24,26)]
[(21,24),(23,26)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 48 inputs, 230 CEs, 20 layers (cost=414):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39),(40,44),(41,45),(42,46),(43,47)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45),(38,46),(39,47)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(14,46),(15,47),(19,25),(22,28)]
[(1,16),(3,10),(6,20),(9,18),(11,25),(13,30),(14,21),(17,34),(22,36),(26,33),(27,41),(29,38),(31,46),(37,44)]
[(2,22),(3,24),(5,14),(7,27),(9,17),(10,19),(13,21),(20,40),(23,44),(25,45),(26,34),(28,37),(30,38),(33,42)]
[(3,4),(5,24),(7,12),(10,32),(11,34),(13,36),(15,37),(19,27),(20,28),(23,42),(35,40),(43,44)]
[(4,26),(7,11),(13,33),(14,34),(15,19),(16,20),(17,24),(21,43),(23,30),(27,31),(28,32),(36,40)]
[(5,26),(6,17),(8,28),(11,23),(12,14),(13,22),(15,29),(18,32),(19,39),(21,42),(24,36),(25,34),(30,41),(33,35)]
[(11,24),(12,22),(14,32),(15,33),(17,28),(19,30),(23,36),(25,35)]
[(7,12),(13,15),(18,22),(25,29),(32,34),(35,40)]
[(11,18),(12,20),(22,24),(23,25),(27,35),(29,36)]
[(14,23),(18,28),(19,29),(20,26),(21,27),(24,33)]
[(14,20),(15,18),(19,21),(22,24),(23,25),(26,28),(27,33),(29,32)]
[(18,28),(19,29),(20,22),(25,27)]
[(18,22),(19,24),(23,28),(25,29)]
[(19,23),(21,25),(22,26),(24,28)]
[(21,23),(24,26)]
[(21,24),(23,26)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 48 inputs, 232 CEs, 18 layers (cost=418):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,24),(17,21),(18,22),(19,27),(20,28),(23,31),(25,29),(26,30),(32,40),(33,37),(34,38),(35,43),(36,44),(39,47),(41,45),(42,46)]
[(0,32),(1,9),(2,10),(4,8),(5,13),(6,14),(7,11),(12,19),(15,47),(17,25),(18,26),(20,24),(21,29),(22,30),(23,27),(28,35),(33,41),(34,42),(36,40),(37,45),(38,46),(39,43)]
[(1,30),(2,24),(3,28),(5,9),(6,10),(8,18),(11,31),(12,34),(13,35),(15,27),(16,36),(17,46),(19,44),(20,32),(21,25),(22,26),(23,45),(29,39),(37,41),(38,42)]
[(1,36),(2,33),(4,17),(5,37),(6,22),(7,29),(10,42),(11,46),(13,23),(14,45),(18,40),(24,34),(25,41),(30,43)]
[(6,25),(10,26),(11,34),(13,36),(14,30),(17,33),(19,24),(21,37),(22,41),(23,28)]
[(3,24),(5,21),(6,17),(7,33),(8,13),(10,32),(12,25),(14,40),(15,37),(22,35),(23,44),(26,42),(30,41),(34,39)]
[(7,19),(9,25),(10,18),(11,24),(12,13),(14,15),(22,38),(23,36),(28,40),(29,37),(32,33),(34,35)]
[(9,22),(11,14),(13,17),(15,24),(23,32),(25,38),(30,34),(33,36)]
[(3,17),(9,19),(11,21),(15,22),(18,23),(24,29),(25,32),(26,36),(28,38),(30,44)]
[(14,25),(17,21),(19,23),(22,33),(24,28),(26,30)]
[(14,17),(15,22),(21,23),(24,26),(25,32),(30,33)]
[(15,19),(17,21),(22,24),(23,25),(26,30),(28,32)]
[(19,21),(22,23),(24,25),(26,28)]
[(21,24),(23,26)]
[(21,23),(24,26)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 48 inputs, 237 CEs, 17 layers (cost=428):

[(0,13),(1,12),(2,15),(3,14),(4,8),(5,6),(7,11),(9,10),(16,29),(17,28),(18,31),(19,30),(20,24),(21,22),(23,27),(25,26),(32,45),(33,44),(34,47),(35,46),(36,40),(37,38),(39,43),(41,42)]
[(0,5),(1,7),(2,9),(3,4),(6,13),(8,14),(10,15),(11,12),(16,21),(17,23),(18,25),(19,20),(22,29),(24,30),(26,31),(27,28),(32,37),(33,39),(34,41),(35,36),(38,45),(40,46),(42,47),(43,44)]
[(0,1),(2,3),(4,5),(6,8),(7,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,24),(23,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,40),(39,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,10),(5,11),(6,7),(8,9),(12,14),(13,15),(16,18),(17,19),(20,26),(21,27),(22,23),(24,25),(28,30),(29,31),(32,34),(33,35),(36,42),(37,43),(38,39),(40,41),(44,46),(45,47)]
[(1,2),(3,12),(4,6),(5,7),(8,10),(9,11),(13,14),(15,31),(16,32),(17,18),(19,28),(20,22),(21,23),(24,26),(25,27),(29,30),(33,34),(35,44),(36,38),(37,39),(40,42),(41,43),(45,46)]
[(0,16),(1,4),(2,6),(3,19),(5,8),(7,10),(9,13),(11,14),(17,20),(18,22),(21,24),(23,26),(25,29),(27,30),(28,44),(31,47),(33,36),(34,38),(37,40),(39,42),(41,45),(43,46)]
[(1,33),(2,34),(3,35),(5,37),(8,24),(9,25),(10,42),(11,27),(12,44),(13,45),(14,46),(15,31),(16,32),(20,36),(22,38),(23,39)]
[(2,20),(3,22),(4,36),(6,38),(7,23),(9,41),(10,26),(11,43),(12,28),(13,29),(14,30),(17,33),(18,34),(19,35),(21,37),(24,40),(25,44),(27,45)]
[(5,21),(6,22),(7,33),(8,24),(9,32),(10,34),(11,35),(12,36),(13,37),(14,40),(15,38),(23,39),(25,41),(26,42)]
[(4,14),(8,22),(10,13),(12,21),(15,28),(19,32),(25,39),(26,35),(33,43),(34,37)]
[(10,21),(11,33),(13,22),(14,36),(15,24),(18,19),(23,32),(25,34),(26,37),(28,29)]
[(6,25),(11,15),(13,20),(14,23),(19,21),(22,41),(24,33),(26,28),(27,34),(32,36)]
[(15,25),(21,24),(22,32),(23,26)]
[(14,15),(20,21),(22,24),(23,25),(26,27),(32,33)]
[(15,21),(22,23),(24,25),(26,32)]
[(21,24),(23,26)]
[(21,23),(24,26)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 49 inputs, 231 CEs, 25 layers (cost=414):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39),(40,44),(41,45),(42,46),(43,47)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45),(38,46),(39,47)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(14,46),(15,47),(20,24),(21,25),(22,26),(23,27)]
[(3,17),(5,40),(6,25),(7,42),(10,18),(12,21),(14,23),(22,41),(24,33),(26,35),(29,37),(30,44)]
[(1,12),(3,8),(4,10),(5,20),(6,17),(13,14),(18,26),(21,29),(27,42),(30,41),(33,34),(35,46),(37,43),(39,44)]
[(7,26),(8,36),(10,24),(11,39),(13,33),(14,34),(21,40),(23,37)]
[(7,19),(8,13),(9,24),(11,25),(18,21),(22,36),(23,38),(26,29),(28,40),(34,39)]
[(2,22),(11,30),(13,16),(14,21),(15,29),(17,36),(18,32),(25,45),(26,33),(31,34)]
[(9,32),(11,16),(12,14),(15,38),(31,36),(33,35)]
[(6,32),(7,12),(11,22),(14,20),(15,41),(25,36),(27,33),(35,40)]
[(12,28),(14,22),(19,35),(20,23),(24,27),(25,33)]
[(15,23),(16,22),(17,20),(24,32),(25,31),(27,30)]
[(12,17),(15,27),(16,24),(19,25),(20,32),(22,28),(23,31),(30,35)]
[(15,19),(17,24),(21,25),(22,26),(23,30),(28,32)]
[(19,23),(20,26),(21,27),(24,28)]
[(19,21),(22,24),(23,25),(26,28)]
[(19,26),(20,24),(21,28),(23,27)]
[(15,24),(23,32)]
[(21,23),(24,26)]
[(21,24),(23,26)]
[(23,24)]
[(24,48)]
[(23,24)]

Constructed from N-1 case
Auto generated
Median selection network for 49 inputs, 233 CEs, 23 layers (cost=418):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(24,28),(25,29),(26,30),(27,31),(32,36),(33,37),(34,38),(35,39),(40,44),(41,45),(42,46),(43,47)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,24),(17,25),(18,26),(19,27),(20,28),(21,29),(22,30),(23,31),(32,40),(33,41),(34,42),(35,43),(36,44),(37,45),(38,46),(39,47)]
[(0,32),(1,33),(2,34),(3,35),(4,36),(5,37),(6,38),(7,39),(8,40),(9,41),(10,42),(11,43),(12,44),(13,45),(14,46),(15,47),(19,25),(22,28)]
[(1,16),(3,10),(6,20),(9,18),(11,25),(13,30),(14,21),(17,34),(22,36),(26,33),(27,41),(29,38),(31,46),(37,44)]
[(2,22),(3,24),(5,14),(7,27),(9,17),(10,19),(13,21),(20,40),(23,44),(25,45),(26,34),(28,37),(30,38),(33,42)]
[(3,4),(5,24),(7,12),(10,32),(11,34),(13,36),(15,37),(19,27),(20,28),(23,42),(35,40),(43,44)]
[(4,26),(7,11),(13,33),(14,34),(15,19),(16,20),(17,24),(21,43),(23,30),(27,31),(28,32),(36,40)]
[(5,26),(6,17),(8,28),(11,23),(12,14),(13,22),(15,29),(18,32),(19,39),(21,42),(24,36),(25,34),(30,41),(33,35)]
[(11,24),(12,22),(14,32),(15,33),(17,28),(19,30),(23,36),(25,35)]
[(7,12),(13,15),(18,22),(25,29),(32,34),(35,40)]
[(11,18),(12,20),(22,24),(23,25),(27,35),(29,36)]
[(14,23),(18,28),(19,29),(20,26),(21,27),(24,33)]
[(14,20),(15,18),(19,21),(22,24),(23,25),(26,28),(27,33),(29,32)]
[(18,28),(19,29),(20,22),(25,27)]
[(18,22),(19,24),(23,28),(25,29)]
[(19,23),(21,25),(22,26),(24,28)]
[(21,23),(24,26)]
[(21,24),(23,26)]
[(23,24)]
[(24,48)]
[(23,24)]

Constructed from N-1 case
Auto generated
Median selection network for 49 inputs, 235 CEs, 21 layers (cost=422):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,24),(17,21),(18,22),(19,27),(20,28),(23,31),(25,29),(26,30),(32,40),(33,37),(34,38),(35,43),(36,44),(39,47),(41,45),(42,46)]
[(0,32),(1,9),(2,10),(4,8),(5,13),(6,14),(7,11),(12,19),(15,47),(17,25),(18,26),(20,24),(21,29),(22,30),(23,27),(28,35),(33,41),(34,42),(36,40),(37,45),(38,46),(39,43)]
[(1,30),(2,24),(3,28),(5,9),(6,10),(8,18),(11,31),(12,34),(13,35),(15,27),(16,36),(17,46),(19,44),(20,32),(21,25),(22,26),(23,45),(29,39),(37,41),(38,42)]
[(1,36),(2,33),(4,17),(5,37),(6,22),(7,29),(10,42),(11,46),(13,23),(14,45),(18,40),(24,34),(25,41),(30,43)]
[(6,25),(10,26),(11,34),(13,36),(14,30),(17,33),(19,24),(21,37),(22,41),(23,28)]
[(3,24),(5,21),(6,17),(7,33),(8,13),(10,32),(12,25),(14,40),(15,37),(22,35),(23,44),(26,42),(30,41),(34,39)]
[(7,19),(9,25),(10,18),(11,24),(12,13),(14,15),(22,38),(23,36),(28,40),(29,37),(32,33),(34,35)]
[(9,22),(11,14),(13,17),(15,24),(23,32),(25,38),(30,34),(33,36)]
[(3,17),(9,19),(11,21),(15,22),(18,23),(24,29),(25,32),(26,36),(28,38),(30,44)]
[(14,25),(17,21),(19,23),(22,33),(24,28),(26,30)]
[(14,17),(15,22),(21,23),(24,26),(25,32),(30,33)]
[(15,19),(17,21),(22,24),(23,25),(26,30),(28,32)]
[(19,21),(22,23),(24,25),(26,28)]
[(21,24),(23,26)]
[(21,23),(24,26)]
[(23,24)]
[(24,48)]
[(23,24)]

Constructed from N-1 case
Auto generated
Median selection network for 49 inputs, 240 CEs, 20 layers (cost=432):

[(0,13),(1,12),(2,15),(3,14),(4,8),(5,6),(7,11),(9,10),(16,29),(17,28),(18,31),(19,30),(20,24),(21,22),(23,27),(25,26),(32,45),(33,44),(34,47),(35,46),(36,40),(37,38),(39,43),(41,42)]
[(0,5),(1,7),(2,9),(3,4),(6,13),(8,14),(10,15),(11,12),(16,21),(17,23),(18,25),(19,20),(22,29),(24,30),(26,31),(27,28),(32,37),(33,39),(34,41),(35,36),(38,45),(40,46),(42,47),(43,44)]
[(0,1),(2,3),(4,5),(6,8),(7,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,24),(23,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,40),(39,41),(42,43),(44,45),(46,47)]
[(0,2),(1,3),(4,10),(5,11),(6,7),(8,9),(12,14),(13,15),(16,18),(17,19),(20,26),(21,27),(22,23),(24,25),(28,30),(29,31),(32,34),(33,35),(36,42),(37,43),(38,39),(40,41),(44,46),(45,47)]
[(1,2),(3,12),(4,6),(5,7),(8,10),(9,11),(13,14),(15,31),(16,32),(17,18),(19,28),(20,22),(21,23),(24,26),(25,27),(29,30),(33,34),(35,44),(36,38),(37,39),(40,42),(41,43),(45,46)]
[(0,16),(1,4),(2,6),(3,19),(5,8),(7,10),(9,13),(11,14),(17,20),(18,22),(21,24),(23,26),(25,29),(27,30),(28,44),(31,47),(33,36),(34,38),(37,40),(39,42),(41,45),(43,46)]
[(1,33),(2,34),(3,35),(5,37),(8,24),(9,25),(10,42),(11,27),(12,44),(13,45),(14,46),(15,31),(16,32),(20,36),(22,38),(23,39)]
[(2,20),(3,22),(4,36),(6,38),(7,23),(9,41),(10,26),(11,43),(12,28),(13,29),(14,30),(17,33),(18,34),(19,35),(21,37),(24,40),(25,44),(27,45)]
[(5,21),(6,22),(7,33),(8,24),(9,32),(10,34),(11,35),(12,36),(13,37),(14,40),(15,38),(23,39),(25,41),(26,42)]
[(4,14),(8,22),(10,13),(12,21),(15,28),(19,32),(25,39),(26,35),(33,43),(34,37)]
[(10,21),(11,33),(13,22),(14,36),(15,24),(18,19),(23,32),(25,34),(26,37),(28,29)]
[(6,25),(11,15),(13,20),(14,23),(19,21),(22,41),(24,33),(26,28),(27,34),(32,36)]
[(15,25),(21,24),(22,32),(23,26)]
[(14,15),(20,21),(22,24),(23,25),(26,27),(32,33)]
[(15,21),(22,23),(24,25),(26,32)]
[(21,24),(23,26)]
[(21,23),(24,26)]
[(23,24)]
[(24,48)]
[(23,24)]

Constructed from N-1 case
Auto generated
Median selection network for 49 inputs, 274 CEs, 19 layers (cost=500):

[(0,23),(1,22),(2,18),(3,20),(4,19),(5,21),(6,17),(7,15),(8,16),(9,14),(10,13),(11,12),(24,48),(26,47),(27,43),(28,45),(29,44),(30,46),(31,42),(32,40),(33,41),(34,39),(35,38),(36,37)]
[(1,4),(2,5),(3,7),(6,9),(8,15),(10,11),(12,13),(14,17),(16,20),(18,21),(19,22),(24,25),(26,29),(27,30),(28,32),(31,34),(33,40),(35,36),(37,38),(39,42),(41,45),(43,46),(44,47)]
[(1,10),(2,6),(3,8),(4,12),(5,14),(7,16),(9,18),(11,19),(13,22),(15,20),(17,21),(24,41),(25,48),(26,35),(27,31),(28,33),(29,37),(30,39),(34,43),(36,44),(38,47),(40,45),(42,46)]
[(0,8),(1,2),(4,5),(6,11),(9,10),(12,17),(13,14),(15,23),(18,19),(21,22),(24,28),(25,33),(26,27),(29,30),(31,36),(32,41),(34,35),(37,42),(38,39),(40,48),(43,44),(46,47)]
[(0,4),(2,3),(5,8),(7,9),(10,11),(12,13),(14,16),(15,18),(19,23),(20,21),(24,31),(25,29),(27,28),(30,33),(32,34),(35,36),(37,38),(39,41),(40,43),(44,48),(45,46)]
[(1,27),(3,11),(4,19),(6,7),(9,13),(10,14),(12,20),(16,17),(21,47),(22,48),(24,26),(28,36),(29,44),(31,32),(34,38),(35,39),(37,45),(41,42)]
[(0,26),(2,31),(3,12),(4,9),(5,7),(6,25),(8,13),(10,15),(11,20),(14,19),(16,18),(17,46),(21,22),(23,42),(28,37),(29,34),(30,32),(33,38),(35,40),(36,45),(39,44),(41,43)]
[(3,5),(4,10),(7,8),(9,12),(11,14),(13,19),(15,16),(17,23),(18,20),(25,31),(26,27),(28,30),(29,35),(32,33),(34,37),(36,39),(38,44),(40,41),(43,45)]
[(3,29),(4,28),(5,30),(7,15),(8,16),(9,11),(10,35),(12,14),(13,38),(17,21),(18,43),(19,45),(20,44),(22,23),(25,26),(27,31),(32,40),(33,41),(34,36),(37,39)]
[(5,10),(7,9),(8,11),(12,15),(13,17),(14,16),(19,21),(23,24),(27,29),(31,35),(32,34),(33,36),(37,40),(38,43),(39,41)]
[(7,32),(8,9),(11,36),(12,37),(13,18),(14,15),(16,41),(19,20),(21,22),(26,27),(28,29),(30,35),(33,34),(39,40)]
[(8,33),(9,34),(11,13),(14,39),(15,40),(16,18),(17,19),(20,21),(27,28),(29,31),(30,32),(35,37)]
[(9,25),(11,14),(13,15),(16,17),(18,19),(24,39),(29,30),(31,32),(33,35),(34,37)]
[(10,11),(12,25),(15,29),(16,28),(17,27),(18,26),(19,33),(20,32),(21,31),(22,30),(24,36),(37,38)]
[(11,25),(13,21),(14,22),(19,28),(20,29),(24,37),(26,34),(27,35)]
[(20,25),(21,26),(22,27),(24,28)]
[(19,22),(21,25),(24,27),(26,29)]
[(22,25),(24,26)]
[(24,25)]

Constructed from N+1 case
Auto generated
Median selection network for 50 inputs, 245 CEs, 27 layers (cost=442):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40),(37,41),(38,42),(43,47),(44,48),(45,49)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,27),(16,28),(17,29),(18,30),(19,31),(20,32),(21,33),(22,34),(35,43),(36,44),(37,45),(38,46),(39,47),(40,48),(41,49)]
[(0,36),(1,37),(2,38),(3,39),(4,40),(5,41),(6,42),(7,43),(8,44),(9,45),(10,46),(11,47),(12,48),(13,49)]
[(2,27),(4,29),(6,28),(8,17),(11,18),(12,25),(13,30),(19,36),(20,45),(21,43),(22,47),(24,37),(31,38),(32,41)]
[(2,3),(4,16),(6,37),(7,19),(8,35),(10,32),(12,43),(14,41),(17,39),(22,27),(30,42),(33,45),(46,47)]
[(9,16),(10,18),(11,35),(14,38),(19,24),(25,30),(31,39),(33,40)]
[(3,11),(10,36),(13,39),(14,18),(22,24),(25,27),(31,35),(38,46)]
[(1,31),(5,35),(11,21),(14,44),(16,25),(18,48),(24,33),(28,38)]
[(5,19),(6,31),(11,22),(14,29),(18,43),(20,35),(27,38),(30,44)]
[(4,22),(6,15),(12,31),(17,20),(18,37),(19,23),(26,30),(27,45),(29,32),(34,43)]
[(9,19),(12,17),(18,29),(20,31),(21,23),(26,28),(30,40),(32,37)]
[(0,21),(10,20),(14,18),(17,24),(25,32),(28,49),(29,39),(31,35)]
[(10,22),(13,14),(15,21),(27,39),(28,34),(35,36)]
[(14,23),(19,22),(26,35),(27,30)]
[(14,20),(16,26),(17,19),(21,22),(23,33),(27,28),(29,35),(30,32)]
[(13,16),(18,23),(19,21),(22,24),(25,27),(26,31),(28,30),(33,36)]
[(14,22),(18,26),(20,24),(23,31),(25,29),(27,35)]
[(16,23),(18,22),(26,33),(27,31)]
[(16,21),(28,33)]
[(21,22),(27,28)]
[(20,21),(22,26),(23,27),(28,29)]
[(21,26),(22,25),(23,28),(24,27)]
[(21,23),(26,28)]
[(23,25),(24,26)]
[(23,24),(25,26)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 50 inputs, 246 CEs, 22 layers (cost=444):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(24,25),(27,31),(28,29),(30,34),(32,33),(35,39),(36,37),(38,42),(40,41),(43,47),(44,45),(48,49)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,27),(16,20),(17,21),(18,30),(19,31),(22,34),(28,32),(29,33),(35,43),(36,40),(37,41),(38,46),(39,47),(44,48),(45,49)]
[(0,8),(1,9),(2,38),(3,7),(4,12),(5,13),(6,10),(11,47),(16,28),(17,29),(19,27),(20,32),(21,33),(22,30),(36,44),(37,45),(39,43),(40,48),(41,49),(42,46)]
[(0,36),(1,37),(3,39),(4,8),(5,9),(6,42),(7,43),(10,46),(12,48),(13,49),(20,28),(21,29),(40,44),(41,45)]
[(1,19),(4,40),(5,41),(6,18),(8,44),(9,45),(12,20),(13,22),(27,36),(29,37),(30,48),(31,43)]
[(3,29),(4,16),(5,39),(6,11),(8,15),(9,28),(10,44),(19,23),(20,46),(21,40),(26,30),(33,45),(34,41),(38,43)]
[(5,12),(9,24),(10,32),(15,29),(16,21),(17,39),(18,26),(19,27),(20,34),(22,30),(23,31),(25,40),(28,33),(37,44)]
[(2,21),(6,27),(7,17),(9,35),(10,13),(11,25),(12,31),(14,40),(18,37),(22,43),(24,38),(28,47),(32,42),(36,39)]
[(0,24),(2,23),(10,36),(12,15),(13,39),(14,33),(16,35),(18,20),(21,28),(25,49),(26,47),(29,31),(34,37)]
[(14,32),(17,35),(18,29),(20,31),(22,26),(23,27)]
[(10,18),(14,22),(15,17),(27,35),(31,39),(32,34)]
[(14,25),(17,21),(18,23),(24,35),(26,31),(28,32)]
[(11,21),(14,20),(17,24),(22,26),(23,27),(25,32),(28,38),(29,35)]
[(11,27),(13,29),(14,28),(20,36),(21,35),(22,38)]
[(13,14),(22,25),(24,27),(35,36)]
[(14,24),(21,22),(25,35),(27,28)]
[(20,24),(21,27),(22,28),(25,29)]
[(20,21),(22,25),(24,27),(28,29)]
[(21,22),(27,28)]
[(22,24),(25,27)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 50 inputs, 247 CEs, 21 layers (cost=446):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(24,25),(27,31),(28,29),(30,34),(32,33),(35,39),(36,37),(38,42),(40,41),(43,47),(44,45),(48,49)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,27),(16,20),(17,21),(18,30),(19,31),(22,34),(28,32),(29,33),(35,43),(36,40),(37,41),(38,46),(39,47),(44,48),(45,49)]
[(0,8),(1,9),(2,38),(3,7),(4,12),(5,13),(6,10),(11,47),(16,28),(17,29),(19,27),(20,32),(21,33),(22,30),(36,44),(37,45),(39,43),(40,48),(41,49),(42,46)]
[(0,36),(1,37),(3,39),(4,8),(5,9),(6,42),(7,43),(10,46),(12,48),(13,49),(20,28),(21,29),(40,44),(41,45)]
[(1,19),(4,40),(5,41),(6,18),(8,44),(9,45),(12,20),(13,22),(27,36),(29,37),(30,48),(31,43)]
[(4,16),(5,39),(6,11),(8,15),(9,28),(10,44),(19,23),(21,40),(26,30),(33,45),(34,41),(38,43)]
[(5,12),(10,32),(11,24),(15,29),(16,21),(17,39),(18,26),(19,27),(20,34),(22,30),(23,31),(25,38),(28,33),(37,44)]
[(2,21),(6,27),(7,17),(9,25),(10,36),(12,31),(13,39),(14,33),(16,35),(18,37),(22,43),(24,40),(28,47),(32,42)]
[(0,25),(2,23),(3,27),(9,35),(10,21),(11,13),(12,15),(14,40),(18,29),(20,31),(22,46),(24,49),(26,47),(28,39),(34,37),(36,38)]
[(10,11),(13,21),(14,26),(15,17),(18,20),(23,35),(28,36),(29,31),(32,34),(38,39)]
[(11,17),(13,28),(14,22),(21,36),(27,35),(32,38)]
[(11,23),(14,32),(17,35),(18,27),(20,28),(21,29),(22,31),(26,38)]
[(13,23),(14,21),(17,25),(24,32),(26,36),(28,35)]
[(15,23),(20,25),(24,29),(26,34)]
[(14,20),(21,25),(22,26),(23,27),(24,28),(29,35)]
[(17,20),(21,22),(27,28),(29,32)]
[(20,27),(21,24),(22,29),(25,28)]
[(22,24),(25,27)]
[(22,25),(24,27)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 50 inputs, 249 CEs, 20 layers (cost=450):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(24,25),(27,31),(28,29),(30,34),(32,33),(35,39),(36,37),(38,42),(40,41),(43,47),(44,45),(48,49)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,27),(16,20),(17,21),(18,30),(19,31),(22,34),(28,32),(29,33),(35,43),(36,40),(37,41),(38,46),(39,47),(44,48),(45,49)]
[(0,8),(1,9),(2,38),(3,7),(4,12),(5,13),(6,10),(11,47),(16,28),(17,29),(19,27),(20,32),(21,33),(22,30),(36,44),(37,45),(39,43),(40,48),(41,49),(42,46)]
[(0,36),(1,37),(3,39),(4,8),(5,9),(6,42),(7,43),(10,46),(11,25),(12,48),(13,49),(14,30),(19,35),(20,28),(21,29),(24,38),(40,44),(41,45)]
[(0,3),(1,16),(4,40),(5,41),(6,29),(8,44),(9,45),(10,22),(12,28),(20,43),(21,37),(27,39),(33,48),(46,49)]
[(4,20),(5,17),(8,21),(9,31),(12,24),(18,40),(25,37),(28,41),(29,45),(32,44)]
[(2,25),(5,12),(8,27),(9,23),(10,17),(11,18),(14,28),(21,35),(22,41),(24,47),(26,40),(31,38),(32,39),(37,44)]
[(2,32),(6,23),(9,15),(11,16),(12,36),(13,37),(17,47),(18,25),(24,31),(26,43),(33,38),(34,40)]
[(10,24),(13,33),(15,27),(16,36),(17,26),(18,20),(22,34),(23,32),(25,39),(29,31)]
[(3,23),(6,20),(10,18),(14,25),(16,27),(22,33),(24,35),(26,46),(29,43),(31,39)]
[(2,18),(6,7),(13,29),(14,24),(17,23),(20,36),(25,35),(26,32),(31,47),(42,43)]
[(7,27),(13,20),(14,17),(18,21),(22,42),(23,25),(24,26),(28,31),(29,36),(32,35)]
[(12,23),(13,17),(20,25),(21,27),(22,28),(24,29),(26,37),(32,36)]
[(7,21),(17,27),(20,23),(22,32),(26,29),(28,42)]
[(17,24),(20,21),(22,26),(23,27),(25,32),(28,29)]
[(21,24),(22,23),(25,28),(26,27)]
[(23,24),(25,26)]
[(23,25),(24,26)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 50 inputs, 272 CEs, 19 layers (cost=496):

[(0,23),(1,22),(2,18),(3,20),(4,19),(5,21),(6,17),(7,15),(8,16),(9,14),(10,13),(11,12),(26,49),(27,48),(28,44),(29,46),(30,45),(31,47),(32,43),(33,41),(34,42),(35,40),(36,39),(37,38)]
[(1,4),(2,5),(3,7),(6,9),(8,15),(10,11),(12,13),(14,17),(16,20),(18,21),(19,22),(23,24),(25,26),(27,30),(28,31),(29,33),(32,35),(34,41),(36,37),(38,39),(40,43),(42,46),(44,47),(45,48)]
[(0,23),(1,10),(2,6),(3,8),(4,12),(5,14),(7,24),(9,18),(11,19),(13,22),(15,20),(17,21),(25,42),(26,49),(27,36),(28,32),(29,34),(30,38),(31,40),(35,44),(37,45),(39,48),(41,46),(43,47)]
[(0,8),(1,2),(4,5),(6,11),(7,16),(9,10),(12,17),(13,14),(15,23),(18,19),(20,24),(21,22),(25,29),(26,34),(27,28),(30,31),(32,37),(33,42),(35,36),(38,43),(39,40),(41,49),(44,45),(47,48)]
[(0,4),(2,3),(5,8),(7,9),(10,11),(12,13),(14,16),(15,18),(17,24),(19,23),(20,21),(25,32),(26,30),(28,29),(31,34),(33,35),(36,37),(38,39),(40,42),(41,44),(45,49),(46,47)]
[(0,28),(2,26),(3,11),(4,19),(6,7),(9,13),(10,14),(12,20),(16,17),(21,49),(22,24),(23,47),(25,27),(29,37),(30,45),(32,33),(35,39),(36,40),(38,46),(42,43)]
[(1,32),(3,12),(4,9),(5,7),(6,27),(8,13),(10,15),(11,20),(14,19),(16,18),(17,48),(22,43),(29,38),(30,35),(31,33),(34,39),(36,41),(37,46),(40,45),(42,44)]
[(3,5),(4,10),(7,8),(9,12),(11,14),(13,19),(15,16),(17,23),(18,20),(21,22),(26,32),(27,28),(29,31),(30,36),(33,34),(35,38),(37,40),(39,45),(41,42),(44,46)]
[(3,30),(4,29),(5,31),(7,15),(8,16),(9,11),(10,36),(12,14),(13,39),(17,21),(18,44),(19,46),(20,45),(22,23),(26,27),(28,32),(33,41),(34,42),(35,37),(38,40)]
[(7,9),(8,11),(12,15),(13,17),(14,16),(19,20),(23,25),(24,26),(29,30),(32,36),(33,35),(34,37),(38,41),(40,42)]
[(5,12),(7,33),(8,9),(11,15),(13,18),(16,42),(17,19),(20,21),(28,29),(30,32),(31,36),(34,38),(37,44),(40,41)]
[(8,35),(9,38),(11,40),(12,34),(14,41),(15,37),(16,18),(31,33)]
[(11,13),(14,15),(16,17),(18,27),(22,31),(32,33),(34,35),(36,38)]
[(10,35),(13,22),(14,39),(15,30),(16,29),(17,28),(19,34),(20,33),(21,32),(27,36)]
[(9,27),(14,21),(19,29),(20,30),(22,40),(28,35)]
[(11,19),(20,24),(21,27),(22,28),(25,29),(30,38)]
[(19,21),(22,24),(25,27),(28,30)]
[(21,25),(24,28)]
[(21,24),(25,28)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 50 inputs, 280 CEs, 18 layers (cost=512):

[(0,23),(1,22),(2,18),(3,20),(4,19),(5,21),(6,17),(7,15),(8,16),(9,14),(10,13),(11,12),(26,49),(27,48),(28,44),(29,46),(30,45),(31,47),(32,43),(33,41),(34,42),(35,40),(36,39),(37,38)]
[(1,4),(2,5),(3,7),(6,9),(8,15),(10,11),(12,13),(14,17),(16,20),(18,21),(19,22),(23,24),(25,26),(27,30),(28,31),(29,33),(32,35),(34,41),(36,37),(38,39),(40,43),(42,46),(44,47),(45,48)]
[(0,23),(1,10),(2,6),(3,8),(4,12),(5,14),(7,24),(9,18),(11,19),(13,22),(15,20),(17,21),(25,42),(26,49),(27,36),(28,32),(29,34),(30,38),(31,40),(35,44),(37,45),(39,48),(41,46),(43,47)]
[(0,8),(1,2),(4,5),(6,11),(7,16),(9,10),(12,17),(13,14),(15,23),(18,19),(20,24),(21,22),(25,29),(26,34),(27,28),(30,31),(32,37),(33,42),(35,36),(38,43),(39,40),(41,49),(44,45),(47,48)]
[(0,4),(2,3),(5,8),(7,9),(10,11),(12,13),(14,16),(15,18),(17,24),(19,23),(20,21),(25,32),(26,30),(28,29),(31,34),(33,35),(36,37),(38,39),(40,42),(41,44),(45,49),(46,47)]
[(1,28),(3,11),(4,19),(6,7),(9,13),(10,14),(12,20),(16,17),(21,48),(22,24),(25,27),(29,37),(30,45),(32,33),(35,39),(36,40),(38,46),(42,43)]
[(0,27),(2,32),(3,12),(4,9),(5,7),(6,26),(8,13),(10,15),(11,20),(14,19),(16,18),(17,47),(22,49),(23,43),(29,38),(30,35),(31,33),(34,39),(36,41),(37,46),(40,45),(42,44)]
[(3,5),(4,10),(7,8),(9,12),(11,14),(13,19),(15,16),(17,23),(18,20),(21,22),(26,32),(27,28),(29,31),(30,36),(33,34),(35,38),(37,40),(39,45),(41,42),(44,46)]
[(3,30),(4,29),(5,31),(7,15),(8,16),(9,11),(10,36),(12,14),(13,39),(17,21),(18,44),(19,46),(20,45),(22,23),(26,27),(28,32),(33,41),(34,42),(35,37),(38,40)]
[(5,10),(7,9),(8,11),(12,15),(13,17),(14,16),(19,21),(23,25),(24,26),(28,30),(32,36),(33,35),(34,37),(38,41),(39,44),(40,42)]
[(7,33),(8,9),(11,37),(12,38),(13,18),(14,15),(16,42),(19,20),(21,22),(27,28),(29,30),(31,36),(34,35),(40,41)]
[(8,34),(9,35),(11,13),(14,40),(15,41),(16,18),(17,19),(20,21),(28,29),(30,32),(31,33),(36,38)]
[(9,24),(11,14),(13,15),(16,17),(18,19),(25,40),(30,31),(32,33),(34,36),(35,38)]
[(10,11),(12,24),(15,30),(16,29),(17,28),(18,27),(19,34),(20,33),(21,32),(22,31),(25,37),(38,39)]
[(11,24),(13,21),(14,22),(19,29),(20,30),(25,38),(27,35),(28,36)]
[(20,24),(21,27),(22,28),(25,29)]
[(19,22),(21,24),(25,28),(27,30)]
[(22,24),(25,27)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 51 inputs, 248 CEs, 30 layers (cost=446):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,4),(1,5),(2,6),(7,11),(8,12),(9,13),(10,14),(15,19),(16,20),(17,21),(18,22),(27,31),(28,32),(29,33),(30,34),(35,39),(36,40),(37,41),(38,42),(43,47),(44,48),(45,49)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(15,27),(16,28),(17,29),(18,30),(19,31),(20,32),(21,33),(22,34),(35,43),(36,44),(37,45),(38,46),(39,47),(40,48),(41,49)]
[(0,36),(1,37),(2,38),(3,39),(4,40),(5,41),(6,42),(7,43),(8,44),(9,45),(10,46),(11,47),(12,48),(13,49)]
[(2,27),(4,29),(6,28),(8,17),(11,18),(12,25),(13,30),(19,36),(20,45),(21,43),(22,47),(24,37),(31,38),(32,41)]
[(2,3),(4,16),(6,37),(7,19),(8,35),(10,32),(12,43),(14,41),(17,39),(22,27),(30,42),(33,45),(46,47)]
[(9,16),(10,18),(11,35),(14,38),(19,24),(25,30),(31,39),(33,40)]
[(3,11),(10,36),(13,39),(14,18),(22,24),(25,27),(31,35),(38,46)]
[(1,31),(5,35),(11,21),(14,44),(16,25),(18,48),(24,33),(28,38)]
[(5,19),(6,31),(11,22),(14,29),(18,43),(20,35),(27,38),(30,44)]
[(4,22),(6,15),(12,31),(17,20),(18,37),(19,23),(26,30),(27,45),(29,32),(34,43)]
[(9,19),(12,17),(18,29),(20,31),(21,23),(26,28),(30,40),(32,37)]
[(0,21),(10,20),(14,18),(17,24),(25,32),(28,49),(29,39),(31,35)]
[(10,22),(13,14),(15,21),(27,39),(28,34),(35,36)]
[(14,23),(19,22),(26,35),(27,30)]
[(14,20),(16,26),(17,19),(21,22),(23,33),(27,28),(29,35),(30,32)]
[(13,16),(18,23),(19,21),(22,24),(25,27),(26,31),(28,30),(33,36)]
[(14,22),(18,26),(20,24),(23,31),(25,29),(27,35)]
[(16,23),(18,22),(26,33),(27,31)]
[(16,21),(28,33)]
[(21,22),(27,28)]
[(20,21),(22,26),(23,27),(28,29)]
[(21,26),(22,25),(23,28),(24,27)]
[(21,23),(26,28)]
[(23,25),(24,26)]
[(23,24),(25,26)]
[(24,25)]
[(25,50)]
[(24,25)]

Constructed from N-1 case
Auto generated
Median selection network for 51 inputs, 249 CEs, 25 layers (cost=448):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(24,25),(27,31),(28,29),(30,34),(32,33),(35,39),(36,37),(38,42),(40,41),(43,47),(44,45),(48,49)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,27),(16,20),(17,21),(18,30),(19,31),(22,34),(28,32),(29,33),(35,43),(36,40),(37,41),(38,46),(39,47),(44,48),(45,49)]
[(0,8),(1,9),(2,38),(3,7),(4,12),(5,13),(6,10),(11,47),(16,28),(17,29),(19,27),(20,32),(21,33),(22,30),(36,44),(37,45),(39,43),(40,48),(41,49),(42,46)]
[(0,36),(1,37),(3,39),(4,8),(5,9),(6,42),(7,43),(10,46),(12,48),(13,49),(20,28),(21,29),(40,44),(41,45)]
[(1,19),(4,40),(5,41),(6,18),(8,44),(9,45),(12,20),(13,22),(27,36),(29,37),(30,48),(31,43)]
[(3,29),(4,16),(5,39),(6,11),(8,15),(9,28),(10,44),(19,23),(20,46),(21,40),(26,30),(33,45),(34,41),(38,43)]
[(5,12),(9,24),(10,32),(15,29),(16,21),(17,39),(18,26),(19,27),(20,34),(22,30),(23,31),(25,40),(28,33),(37,44)]
[(2,21),(6,27),(7,17),(9,35),(10,13),(11,25),(12,31),(14,40),(18,37),(22,43),(24,38),(28,47),(32,42),(36,39)]
[(0,24),(2,23),(10,36),(12,15),(13,39),(14,33),(16,35),(18,20),(21,28),(25,49),(26,47),(29,31),(34,37)]
[(14,32),(17,35),(18,29),(20,31),(22,26),(23,27)]
[(10,18),(14,22),(15,17),(27,35),(31,39),(32,34)]
[(14,25),(17,21),(18,23),(24,35),(26,31),(28,32)]
[(11,21),(14,20),(17,24),(22,26),(23,27),(25,32),(28,38),(29,35)]
[(11,27),(13,29),(14,28),(20,36),(21,35),(22,38)]
[(13,14),(22,25),(24,27),(35,36)]
[(14,24),(21,22),(25,35),(27,28)]
[(20,24),(21,27),(22,28),(25,29)]
[(20,21),(22,25),(24,27),(28,29)]
[(21,22),(27,28)]
[(22,24),(25,27)]
[(24,25)]
[(25,50)]
[(24,25)]

Constructed from N-1 case
Auto generated
Median selection network for 51 inputs, 250 CEs, 24 layers (cost=450):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(24,25),(27,31),(28,29),(30,34),(32,33),(35,39),(36,37),(38,42),(40,41),(43,47),(44,45),(48,49)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,27),(16,20),(17,21),(18,30),(19,31),(22,34),(28,32),(29,33),(35,43),(36,40),(37,41),(38,46),(39,47),(44,48),(45,49)]
[(0,8),(1,9),(2,38),(3,7),(4,12),(5,13),(6,10),(11,47),(16,28),(17,29),(19,27),(20,32),(21,33),(22,30),(36,44),(37,45),(39,43),(40,48),(41,49),(42,46)]
[(0,36),(1,37),(3,39),(4,8),(5,9),(6,42),(7,43),(10,46),(12,48),(13,49),(20,28),(21,29),(40,44),(41,45)]
[(1,19),(4,40),(5,41),(6,18),(8,44),(9,45),(12,20),(13,22),(27,36),(29,37),(30,48),(31,43)]
[(4,16),(5,39),(6,11),(8,15),(9,28),(10,44),(19,23),(21,40),(26,30),(33,45),(34,41),(38,43)]
[(5,12),(10,32),(11,24),(15,29),(16,21),(17,39),(18,26),(19,27),(20,34),(22,30),(23,31),(25,38),(28,33),(37,44)]
[(2,21),(6,27),(7,17),(9,25),(10,36),(12,31),(13,39),(14,33),(16,35),(18,37),(22,43),(24,40),(28,47),(32,42)]
[(0,25),(2,23),(3,27),(9,35),(10,21),(11,13),(12,15),(14,40),(18,29),(20,31),(22,46),(24,49),(26,47),(28,39),(34,37),(36,38)]
[(10,11),(13,21),(14,26),(15,17),(18,20),(23,35),(28,36),(29,31),(32,34),(38,39)]
[(11,17),(13,28),(14,22),(21,36),(27,35),(32,38)]
[(11,23),(14,32),(17,35),(18,27),(20,28),(21,29),(22,31),(26,38)]
[(13,23),(14,21),(17,25),(24,32),(26,36),(28,35)]
[(15,23),(20,25),(24,29),(26,34)]
[(14,20),(21,25),(22,26),(23,27),(24,28),(29,35)]
[(17,20),(21,22),(27,28),(29,32)]
[(20,27),(21,24),(22,29),(25,28)]
[(22,24),(25,27)]
[(22,25),(24,27)]
[(24,25)]
[(25,50)]
[(24,25)]

Constructed from N-1 case
Auto generated
Median selection network for 51 inputs, 252 CEs, 23 layers (cost=454):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(4,30),(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(21,47),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(10,25),(11,33),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,41),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,36),(11,14),(12,26),(13,32),(15,41),(19,38),(23,44),(25,39),(29,48),(33,43),(37,40)]
[(1,25),(3,24),(11,37),(13,16),(14,40),(15,34),(17,36),(19,21),(22,29),(26,50),(27,48),(30,32),(35,38)]
[(15,33),(18,36),(19,30),(21,32),(23,27),(24,28)]
[(11,19),(15,23),(16,18),(28,36),(32,40),(33,35)]
[(15,26),(18,22),(19,24),(25,36),(27,32),(29,33)]
[(12,22),(15,21),(18,25),(23,27),(24,28),(26,33),(29,39),(30,36)]
[(12,28),(14,30),(15,29),(21,37),(22,36),(23,39)]
[(14,15),(23,26),(25,28),(36,37)]
[(15,25),(22,23),(26,36),(28,29)]
[(21,25),(22,28),(23,29),(26,30)]
[(21,22),(23,26),(25,28),(29,30)]
[(22,23),(28,29)]
[(23,25),(26,28)]
[(25,26)]

Constructed from N+1 case
Auto generated
Median selection network for 51 inputs, 253 CEs, 22 layers (cost=456):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(11,33),(12,25),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,39),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,26),(11,37),(13,32),(14,40),(15,34),(17,36),(19,38),(23,44),(25,41),(29,48),(33,43)]
[(1,26),(3,24),(4,28),(10,36),(11,22),(12,14),(13,16),(15,41),(19,30),(21,32),(23,47),(25,50),(27,48),(29,40),(35,38),(37,39)]
[(11,12),(14,22),(15,27),(16,18),(19,21),(24,36),(29,37),(30,32),(33,35),(39,40)]
[(12,18),(14,29),(15,23),(22,37),(28,36),(33,39)]
[(12,24),(15,33),(18,36),(19,28),(21,29),(22,30),(23,32),(27,39)]
[(14,24),(15,22),(18,26),(25,33),(27,37),(29,36)]
[(16,24),(21,26),(25,30),(27,35)]
[(15,21),(22,26),(23,27),(24,28),(25,29),(30,36)]
[(18,21),(22,23),(28,29),(30,33)]
[(21,28),(22,25),(23,30),(26,29)]
[(23,25),(26,28)]
[(23,26),(25,28)]
[(25,26)]

Constructed from N+1 case
Auto generated
Median selection network for 51 inputs, 255 CEs, 21 layers (cost=460):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(12,26),(13,49),(14,50),(15,31),(20,36),(21,29),(22,30),(25,39),(41,45),(42,46)]
[(1,4),(2,17),(5,41),(6,42),(7,30),(9,45),(10,46),(11,23),(13,29),(21,44),(22,38),(28,40),(34,49),(47,50)]
[(5,21),(6,18),(9,22),(10,32),(13,25),(19,41),(26,38),(29,42),(30,46),(33,45)]
[(3,26),(6,13),(9,28),(10,24),(11,18),(12,19),(15,29),(22,36),(23,42),(25,48),(27,41),(32,39),(33,40),(38,45)]
[(3,33),(7,24),(10,16),(12,17),(13,37),(14,38),(18,48),(19,26),(25,32),(27,44),(34,39),(35,41)]
[(11,25),(14,34),(16,28),(17,37),(18,27),(19,21),(23,35),(24,33),(26,40),(30,32)]
[(4,24),(7,21),(11,19),(15,26),(17,28),(23,34),(25,36),(27,47),(30,44),(32,40)]
[(3,19),(7,8),(14,30),(15,25),(18,24),(21,37),(26,36),(27,33),(32,48),(43,44)]
[(8,28),(14,21),(15,18),(19,22),(23,43),(24,26),(25,27),(29,32),(30,37),(33,36)]
[(13,24),(14,18),(21,26),(22,28),(23,29),(25,30),(27,38),(33,37)]
[(8,22),(18,28),(21,24),(23,33),(27,30),(29,43)]
[(18,25),(21,22),(23,27),(24,28),(26,33),(29,30)]
[(22,25),(23,24),(26,29),(27,28)]
[(24,25),(26,27)]
[(24,26),(25,27)]
[(25,26)]

Constructed from N+1 case
Auto generated
Median selection network for 51 inputs, 280 CEs, 20 layers (cost=510):

[(0,25),(1,24),(2,23),(3,19),(4,21),(5,20),(6,22),(7,18),(8,16),(9,17),(10,15),(11,14),(12,13),(27,50),(28,49),(29,45),(30,47),(31,46),(32,48),(33,44),(34,42),(35,43),(36,41),(37,40),(38,39)]
[(0,1),(2,5),(3,6),(4,8),(7,10),(9,16),(11,12),(13,14),(15,18),(17,21),(19,22),(20,23),(24,25),(26,27),(28,31),(29,32),(30,34),(33,36),(35,42),(37,38),(39,40),(41,44),(43,47),(45,48),(46,49)]
[(0,17),(1,24),(2,11),(3,7),(4,9),(5,13),(6,15),(8,25),(10,19),(12,20),(14,23),(16,21),(18,22),(26,43),(27,50),(28,37),(29,33),(30,35),(31,39),(32,41),(36,45),(38,46),(40,49),(42,47),(44,48)]
[(0,4),(1,9),(2,3),(5,6),(7,12),(8,17),(10,11),(13,18),(14,15),(16,24),(19,20),(21,25),(22,23),(26,30),(27,35),(28,29),(31,32),(33,38),(34,43),(36,37),(39,44),(40,41),(42,50),(45,46),(48,49)]
[(0,7),(1,5),(3,4),(6,9),(8,10),(11,12),(13,14),(15,17),(16,19),(18,25),(20,24),(21,22),(26,33),(27,31),(29,30),(32,35),(34,36),(37,38),(39,40),(41,43),(42,45),(46,50),(47,48)]
[(0,2),(1,29),(3,27),(4,12),(5,20),(7,8),(10,14),(11,15),(13,21),(17,18),(22,50),(23,25),(24,48),(26,28),(30,38),(31,46),(33,34),(36,40),(37,41),(39,47),(43,44)]
[(2,33),(4,13),(5,10),(6,8),(7,28),(9,14),(11,16),(12,21),(15,20),(17,19),(18,49),(23,44),(30,39),(31,36),(32,34),(35,40),(37,42),(38,47),(41,46),(43,45)]
[(4,6),(5,11),(8,9),(10,13),(12,15),(14,20),(16,17),(18,24),(19,21),(22,23),(27,33),(28,29),(30,32),(31,37),(34,35),(36,39),(38,41),(40,46),(42,43),(45,47)]
[(4,31),(5,30),(6,32),(8,16),(9,17),(10,12),(11,37),(13,15),(14,40),(18,22),(19,45),(20,47),(21,46),(23,24),(27,28),(29,33),(34,42),(35,43),(36,38),(39,41)]
[(8,10),(9,12),(13,16),(14,18),(15,17),(20,21),(24,26),(25,27),(30,31),(33,37),(34,36),(35,38),(39,42),(41,43)]
[(6,13),(8,34),(9,10),(12,16),(14,19),(17,43),(18,20),(21,22),(29,30),(31,33),(32,37),(35,39),(38,45),(41,42)]
[(9,36),(10,39),(12,41),(13,35),(15,42),(16,38),(17,19),(32,34)]
[(12,14),(15,16),(17,18),(19,28),(23,32),(33,34),(35,36),(37,39)]
[(0,12),(11,36),(14,23),(15,40),(16,31),(17,30),(18,29),(20,35),(21,34),(22,33),(28,37)]
[(10,28),(15,22),(20,30),(21,31),(23,41),(29,36)]
[(12,20),(21,25),(22,28),(23,29),(26,30),(31,39)]
[(20,22),(23,25),(26,28),(29,31)]
[(22,26),(25,29)]
[(22,25),(26,29)]
[(25,26)]

Constructed from N+1 case
Auto generated
Median selection network for 51 inputs, 288 CEs, 19 layers (cost=526):

[(0,25),(1,24),(2,23),(3,19),(4,21),(5,20),(6,22),(7,18),(8,16),(9,17),(10,15),(11,14),(12,13),(27,50),(28,49),(29,45),(30,47),(31,46),(32,48),(33,44),(34,42),(35,43),(36,41),(37,40),(38,39)]
[(0,1),(2,5),(3,6),(4,8),(7,10),(9,16),(11,12),(13,14),(15,18),(17,21),(19,22),(20,23),(24,25),(26,27),(28,31),(29,32),(30,34),(33,36),(35,42),(37,38),(39,40),(41,44),(43,47),(45,48),(46,49)]
[(0,17),(1,24),(2,11),(3,7),(4,9),(5,13),(6,15),(8,25),(10,19),(12,20),(14,23),(16,21),(18,22),(26,43),(27,50),(28,37),(29,33),(30,35),(31,39),(32,41),(36,45),(38,46),(40,49),(42,47),(44,48)]
[(0,4),(1,9),(2,3),(5,6),(7,12),(8,17),(10,11),(13,18),(14,15),(16,24),(19,20),(21,25),(22,23),(26,30),(27,35),(28,29),(31,32),(33,38),(34,43),(36,37),(39,44),(40,41),(42,50),(45,46),(48,49)]
[(0,7),(1,5),(3,4),(6,9),(8,10),(11,12),(13,14),(15,17),(16,19),(18,25),(20,24),(21,22),(26,33),(27,31),(29,30),(32,35),(34,36),(37,38),(39,40),(41,43),(42,45),(46,50),(47,48)]
[(0,2),(4,12),(5,20),(7,8),(10,14),(11,15),(13,21),(17,18),(22,49),(23,25),(26,28),(30,38),(31,46),(33,34),(36,40),(37,41),(39,47),(43,44)]
[(1,28),(2,29),(3,33),(4,13),(5,10),(6,8),(7,27),(9,14),(11,16),(12,21),(15,20),(17,19),(18,48),(23,50),(24,44),(30,39),(31,36),(32,34),(35,40),(37,42),(38,47),(41,46),(43,45)]
[(4,6),(5,11),(8,9),(10,13),(12,15),(14,20),(16,17),(18,24),(19,21),(22,23),(27,33),(28,29),(30,32),(31,37),(34,35),(36,39),(38,41),(40,46),(42,43),(45,47)]
[(0,23),(4,31),(5,30),(6,32),(8,16),(9,17),(10,12),(11,37),(13,15),(14,40),(18,22),(19,45),(20,47),(21,46),(27,28),(29,33),(34,42),(35,43),(36,38),(39,41)]
[(6,11),(8,10),(9,12),(13,16),(14,18),(15,17),(20,22),(23,24),(25,27),(29,31),(33,37),(34,36),(35,38),(39,42),(40,45),(41,43)]
[(8,34),(9,10),(12,38),(13,39),(14,19),(15,16),(17,43),(20,21),(22,23),(24,26),(28,29),(30,31),(32,37),(35,36),(41,42)]
[(9,35),(10,36),(12,14),(15,41),(16,42),(17,19),(18,20),(21,22),(29,30),(31,33),(32,34),(37,39)]
[(10,25),(12,15),(14,16),(17,18),(19,20),(26,41),(31,32),(33,34),(35,37),(36,39)]
[(11,12),(13,25),(16,31),(17,30),(18,29),(19,28),(20,35),(21,34),(22,33),(23,32),(26,38),(39,40)]
[(12,25),(14,22),(15,23),(20,30),(21,31),(26,39),(28,36),(29,37)]
[(21,25),(22,28),(23,29),(26,30)]
[(20,23),(22,25),(26,29),(28,31)]
[(23,25),(26,28)]
[(25,26)]

Constructed from N+1 case
Auto generated
Median selection network for 52 inputs, 255 CEs, 27 layers (cost=460):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43),(44,48),(45,49),(46,50),(47,51)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,28),(17,29),(18,30),(19,31),(20,32),(21,33),(22,34),(23,35),(36,44),(37,45),(38,46),(39,47),(40,48),(41,49),(42,50),(43,51)]
[(0,36),(1,37),(2,38),(3,39),(4,40),(5,41),(6,42),(7,43),(8,44),(9,45),(10,46),(11,47),(12,48),(13,49),(14,50),(15,51)]
[(3,28),(5,30),(7,29),(9,18),(12,19),(13,26),(14,31),(20,37),(21,46),(22,44),(23,48),(25,38),(32,39),(33,42)]
[(3,4),(5,17),(7,38),(8,20),(9,36),(11,33),(13,44),(15,42),(18,40),(23,28),(31,43),(34,46),(47,48)]
[(10,17),(11,19),(12,36),(15,39),(20,25),(26,31),(32,40),(34,41)]
[(4,12),(11,37),(14,40),(15,19),(23,25),(26,28),(32,36),(39,47)]
[(2,32),(6,36),(12,22),(15,45),(17,26),(19,49),(25,34),(29,39)]
[(6,20),(7,32),(12,23),(15,30),(19,44),(21,36),(28,39),(31,45)]
[(5,23),(7,16),(13,32),(18,21),(19,38),(20,24),(27,31),(28,46),(30,33),(35,44)]
[(10,20),(13,18),(19,30),(21,32),(22,24),(27,29),(31,41),(33,38)]
[(1,22),(11,21),(15,19),(18,25),(26,33),(29,50),(30,40),(32,36)]
[(11,23),(14,15),(16,22),(28,40),(29,35),(36,37)]
[(15,24),(20,23),(27,36),(28,31)]
[(15,21),(17,27),(18,20),(22,23),(24,34),(28,29),(30,36),(31,33)]
[(14,17),(19,24),(20,22),(23,25),(26,28),(27,32),(29,31),(34,37)]
[(15,23),(19,27),(21,25),(24,32),(26,30),(28,36)]
[(17,24),(19,23),(27,34),(28,32)]
[(17,22),(29,34)]
[(22,23),(28,29)]
[(21,22),(23,27),(24,28),(29,30)]
[(22,27),(23,26),(24,29),(25,28)]
[(22,24),(27,29)]
[(24,26),(25,27)]
[(24,25),(26,27)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 52 inputs, 256 CEs, 22 layers (cost=462):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(4,30),(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(21,47),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(10,25),(11,33),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,41),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,36),(11,14),(12,26),(13,32),(15,41),(19,38),(23,44),(25,39),(29,48),(33,43),(37,40)]
[(1,25),(3,24),(11,37),(13,16),(14,40),(15,34),(17,36),(19,21),(22,29),(26,50),(27,48),(30,32),(35,38)]
[(15,33),(18,36),(19,30),(21,32),(23,27),(24,28)]
[(11,19),(15,23),(16,18),(28,36),(32,40),(33,35)]
[(15,26),(18,22),(19,24),(25,36),(27,32),(29,33)]
[(12,22),(15,21),(18,25),(23,27),(24,28),(26,33),(29,39),(30,36)]
[(12,28),(14,30),(15,29),(21,37),(22,36),(23,39)]
[(14,15),(23,26),(25,28),(36,37)]
[(15,25),(22,23),(26,36),(28,29)]
[(21,25),(22,28),(23,29),(26,30)]
[(21,22),(23,26),(25,28),(29,30)]
[(22,23),(28,29)]
[(23,25),(26,28)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 52 inputs, 257 CEs, 21 layers (cost=464):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(11,33),(12,25),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,39),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,26),(11,37),(13,32),(14,40),(15,34),(17,36),(19,38),(23,44),(25,41),(29,48),(33,43)]
[(1,26),(3,24),(4,28),(10,36),(11,22),(12,14),(13,16),(15,41),(19,30),(21,32),(23,47),(25,50),(27,48),(29,40),(35,38),(37,39)]
[(11,12),(14,22),(15,27),(16,18),(19,21),(24,36),(29,37),(30,32),(33,35),(39,40)]
[(12,18),(14,29),(15,23),(22,37),(28,36),(33,39)]
[(12,24),(15,33),(18,36),(19,28),(21,29),(22,30),(23,32),(27,39)]
[(14,24),(15,22),(18,26),(25,33),(27,37),(29,36)]
[(16,24),(21,26),(25,30),(27,35)]
[(15,21),(22,26),(23,27),(24,28),(25,29),(30,36)]
[(18,21),(22,23),(28,29),(30,33)]
[(21,28),(22,25),(23,30),(26,29)]
[(23,25),(26,28)]
[(23,26),(25,28)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 52 inputs, 259 CEs, 20 layers (cost=468):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(12,26),(13,49),(14,50),(15,31),(20,36),(21,29),(22,30),(25,39),(41,45),(42,46)]
[(1,4),(2,17),(5,41),(6,42),(7,30),(9,45),(10,46),(11,23),(13,29),(21,44),(22,38),(28,40),(34,49),(47,50)]
[(5,21),(6,18),(9,22),(10,32),(13,25),(19,41),(26,38),(29,42),(30,46),(33,45)]
[(3,26),(6,13),(9,28),(10,24),(11,18),(12,19),(15,29),(22,36),(23,42),(25,48),(27,41),(32,39),(33,40),(38,45)]
[(3,33),(7,24),(10,16),(12,17),(13,37),(14,38),(18,48),(19,26),(25,32),(27,44),(34,39),(35,41)]
[(11,25),(14,34),(16,28),(17,37),(18,27),(19,21),(23,35),(24,33),(26,40),(30,32)]
[(4,24),(7,21),(11,19),(15,26),(17,28),(23,34),(25,36),(27,47),(30,44),(32,40)]
[(3,19),(7,8),(14,30),(15,25),(18,24),(21,37),(26,36),(27,33),(32,48),(43,44)]
[(8,28),(14,21),(15,18),(19,22),(23,43),(24,26),(25,27),(29,32),(30,37),(33,36)]
[(13,24),(14,18),(21,26),(22,28),(23,29),(25,30),(27,38),(33,37)]
[(8,22),(18,28),(21,24),(23,33),(27,30),(29,43)]
[(18,25),(21,22),(23,27),(24,28),(26,33),(29,30)]
[(22,25),(23,24),(26,29),(27,28)]
[(24,25),(26,27)]
[(24,26),(25,27)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 52 inputs, 286 CEs, 19 layers (cost=522):

[(0,25),(1,24),(2,23),(3,19),(4,21),(5,20),(6,22),(7,18),(8,16),(9,17),(10,15),(11,14),(12,13),(26,51),(27,50),(28,49),(29,45),(30,47),(31,46),(32,48),(33,44),(34,42),(35,43),(36,41),(37,40),(38,39)]
[(0,1),(2,5),(3,6),(4,8),(7,10),(9,16),(11,12),(13,14),(15,18),(17,21),(19,22),(20,23),(24,25),(26,27),(28,31),(29,32),(30,34),(33,36),(35,42),(37,38),(39,40),(41,44),(43,47),(45,48),(46,49),(50,51)]
[(0,17),(1,24),(2,11),(3,7),(4,9),(5,13),(6,15),(8,25),(10,19),(12,20),(14,23),(16,21),(18,22),(26,43),(27,50),(28,37),(29,33),(30,35),(31,39),(32,41),(34,51),(36,45),(38,46),(40,49),(42,47),(44,48)]
[(0,4),(1,9),(2,3),(5,6),(7,12),(8,17),(10,11),(13,18),(14,15),(16,24),(19,20),(21,25),(22,23),(26,30),(27,35),(28,29),(31,32),(33,38),(34,43),(36,37),(39,44),(40,41),(42,50),(45,46),(47,51),(48,49)]
[(0,7),(1,5),(3,4),(6,9),(8,10),(11,12),(13,14),(15,17),(16,19),(18,25),(20,24),(21,22),(26,33),(27,31),(29,30),(32,35),(34,36),(37,38),(39,40),(41,43),(42,45),(44,51),(46,50),(47,48)]
[(0,2),(1,29),(3,27),(4,12),(5,20),(7,8),(10,14),(11,15),(13,21),(17,18),(22,50),(23,25),(24,48),(26,28),(30,38),(31,46),(33,34),(36,40),(37,41),(39,47),(43,44),(49,51)]
[(2,33),(4,13),(5,10),(6,8),(7,28),(9,14),(11,16),(12,21),(15,20),(17,19),(18,49),(23,44),(30,39),(31,36),(32,34),(35,40),(37,42),(38,47),(41,46),(43,45)]
[(4,6),(5,11),(8,9),(10,13),(12,15),(14,20),(16,17),(18,24),(19,21),(22,23),(27,33),(28,29),(30,32),(31,37),(34,35),(36,39),(38,41),(40,46),(42,43),(45,47)]
[(4,31),(5,30),(6,32),(8,16),(9,17),(10,12),(11,37),(13,15),(14,40),(18,22),(19,45),(20,47),(21,46),(23,24),(27,28),(29,33),(34,42),(35,43),(36,38),(39,41)]
[(8,10),(9,12),(13,16),(14,18),(15,17),(20,21),(24,26),(25,27),(30,31),(33,37),(34,36),(35,38),(39,42),(41,43)]
[(6,13),(8,34),(9,10),(12,16),(14,19),(17,43),(18,20),(21,22),(29,30),(31,33),(32,37),(35,39),(38,45),(41,42)]
[(9,36),(10,39),(12,41),(13,35),(15,42),(16,38),(17,19),(32,34)]
[(12,14),(15,16),(17,18),(19,28),(23,32),(33,34),(35,36),(37,39)]
[(0,12),(11,36),(14,23),(15,40),(16,31),(17,30),(18,29),(20,35),(21,34),(22,33),(28,37),(39,51)]
[(10,28),(15,22),(20,30),(21,31),(23,41),(29,36)]
[(12,20),(21,25),(22,28),(23,29),(26,30),(31,39)]
[(20,22),(23,25),(26,28),(29,31)]
[(22,26),(25,29)]
[(22,25),(26,29)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 52 inputs, 294 CEs, 18 layers (cost=538):

[(0,25),(1,24),(2,23),(3,19),(4,21),(5,20),(6,22),(7,18),(8,16),(9,17),(10,15),(11,14),(12,13),(26,51),(27,50),(28,49),(29,45),(30,47),(31,46),(32,48),(33,44),(34,42),(35,43),(36,41),(37,40),(38,39)]
[(0,1),(2,5),(3,6),(4,8),(7,10),(9,16),(11,12),(13,14),(15,18),(17,21),(19,22),(20,23),(24,25),(26,27),(28,31),(29,32),(30,34),(33,36),(35,42),(37,38),(39,40),(41,44),(43,47),(45,48),(46,49),(50,51)]
[(0,17),(1,24),(2,11),(3,7),(4,9),(5,13),(6,15),(8,25),(10,19),(12,20),(14,23),(16,21),(18,22),(26,43),(27,50),(28,37),(29,33),(30,35),(31,39),(32,41),(34,51),(36,45),(38,46),(40,49),(42,47),(44,48)]
[(0,4),(1,9),(2,3),(5,6),(7,12),(8,17),(10,11),(13,18),(14,15),(16,24),(19,20),(21,25),(22,23),(26,30),(27,35),(28,29),(31,32),(33,38),(34,43),(36,37),(39,44),(40,41),(42,50),(45,46),(47,51),(48,49)]
[(0,7),(1,5),(3,4),(6,9),(8,10),(11,12),(13,14),(15,17),(16,19),(18,25),(20,24),(21,22),(26,33),(27,31),(29,30),(32,35),(34,36),(37,38),(39,40),(41,43),(42,45),(44,51),(46,50),(47,48)]
[(0,2),(4,12),(5,20),(7,8),(10,14),(11,15),(13,21),(17,18),(23,25),(26,28),(30,38),(31,46),(33,34),(36,40),(37,41),(39,47),(43,44),(49,51)]
[(1,28),(2,29),(3,33),(4,13),(5,10),(6,8),(7,27),(9,14),(11,16),(12,21),(15,20),(17,19),(18,48),(22,49),(23,50),(24,44),(30,39),(31,36),(32,34),(35,40),(37,42),(38,47),(41,46),(43,45)]
[(4,6),(5,11),(8,9),(10,13),(12,15),(14,20),(16,17),(18,24),(19,21),(22,23),(27,33),(28,29),(30,32),(31,37),(34,35),(36,39),(38,41),(40,46),(42,43),(45,47)]
[(0,23),(4,31),(5,30),(6,32),(8,16),(9,17),(10,12),(11,37),(13,15),(14,40),(18,22),(19,45),(20,47),(21,46),(28,51),(29,33),(34,42),(35,43),(36,38),(39,41)]
[(6,11),(8,10),(9,12),(13,16),(14,18),(15,17),(20,22),(23,24),(27,28),(29,31),(33,37),(34,36),(35,38),(39,42),(40,45),(41,43)]
[(8,34),(9,10),(12,38),(13,39),(14,19),(15,16),(17,43),(20,21),(22,23),(24,26),(25,27),(28,29),(30,31),(32,37),(35,36),(41,42)]
[(9,35),(10,36),(12,14),(15,41),(16,42),(17,19),(18,20),(21,22),(29,30),(31,33),(32,34),(37,39)]
[(10,25),(12,15),(14,16),(17,18),(19,20),(26,41),(31,32),(33,34),(35,37),(36,39)]
[(11,12),(13,25),(16,31),(17,30),(18,29),(19,28),(20,35),(21,34),(22,33),(23,32),(26,38),(39,40)]
[(12,25),(14,22),(15,23),(20,30),(21,31),(26,39),(28,36),(29,37)]
[(21,25),(22,28),(23,29),(26,30)]
[(20,23),(22,25),(26,29),(28,31)]
[(23,25),(26,28)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 53 inputs, 258 CEs, 30 layers (cost=464):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,5),(2,6),(3,7),(8,12),(9,13),(10,14),(11,15),(16,20),(17,21),(18,22),(19,23),(28,32),(29,33),(30,34),(31,35),(36,40),(37,41),(38,42),(39,43),(44,48),(45,49),(46,50),(47,51)]
[(0,8),(1,9),(2,10),(3,11),(4,12),(5,13),(6,14),(7,15),(16,28),(17,29),(18,30),(19,31),(20,32),(21,33),(22,34),(23,35),(36,44),(37,45),(38,46),(39,47),(40,48),(41,49),(42,50),(43,51)]
[(0,36),(1,37),(2,38),(3,39),(4,40),(5,41),(6,42),(7,43),(8,44),(9,45),(10,46),(11,47),(12,48),(13,49),(14,50),(15,51)]
[(3,28),(5,30),(7,29),(9,18),(12,19),(13,26),(14,31),(20,37),(21,46),(22,44),(23,48),(25,38),(32,39),(33,42)]
[(3,4),(5,17),(7,38),(8,20),(9,36),(11,33),(13,44),(15,42),(18,40),(23,28),(31,43),(34,46),(47,48)]
[(10,17),(11,19),(12,36),(15,39),(20,25),(26,31),(32,40),(34,41)]
[(4,12),(11,37),(14,40),(15,19),(23,25),(26,28),(32,36),(39,47)]
[(2,32),(6,36),(12,22),(15,45),(17,26),(19,49),(25,34),(29,39)]
[(6,20),(7,32),(12,23),(15,30),(19,44),(21,36),(28,39),(31,45)]
[(5,23),(7,16),(13,32),(18,21),(19,38),(20,24),(27,31),(28,46),(30,33),(35,44)]
[(10,20),(13,18),(19,30),(21,32),(22,24),(27,29),(31,41),(33,38)]
[(1,22),(11,21),(15,19),(18,25),(26,33),(29,50),(30,40),(32,36)]
[(11,23),(14,15),(16,22),(28,40),(29,35),(36,37)]
[(15,24),(20,23),(27,36),(28,31)]
[(15,21),(17,27),(18,20),(22,23),(24,34),(28,29),(30,36),(31,33)]
[(14,17),(19,24),(20,22),(23,25),(26,28),(27,32),(29,31),(34,37)]
[(15,23),(19,27),(21,25),(24,32),(26,30),(28,36)]
[(17,24),(19,23),(27,34),(28,32)]
[(17,22),(29,34)]
[(22,23),(28,29)]
[(21,22),(23,27),(24,28),(29,30)]
[(22,27),(23,26),(24,29),(25,28)]
[(22,24),(27,29)]
[(24,26),(25,27)]
[(24,25),(26,27)]
[(25,26)]
[(26,52)]
[(25,26)]

Constructed from N-1 case
Auto generated
Median selection network for 53 inputs, 259 CEs, 25 layers (cost=466):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(4,30),(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(21,47),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(10,25),(11,33),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,41),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,36),(11,14),(12,26),(13,32),(15,41),(19,38),(23,44),(25,39),(29,48),(33,43),(37,40)]
[(1,25),(3,24),(11,37),(13,16),(14,40),(15,34),(17,36),(19,21),(22,29),(26,50),(27,48),(30,32),(35,38)]
[(15,33),(18,36),(19,30),(21,32),(23,27),(24,28)]
[(11,19),(15,23),(16,18),(28,36),(32,40),(33,35)]
[(15,26),(18,22),(19,24),(25,36),(27,32),(29,33)]
[(12,22),(15,21),(18,25),(23,27),(24,28),(26,33),(29,39),(30,36)]
[(12,28),(14,30),(15,29),(21,37),(22,36),(23,39)]
[(14,15),(23,26),(25,28),(36,37)]
[(15,25),(22,23),(26,36),(28,29)]
[(21,25),(22,28),(23,29),(26,30)]
[(21,22),(23,26),(25,28),(29,30)]
[(22,23),(28,29)]
[(23,25),(26,28)]
[(25,26)]
[(26,52)]
[(25,26)]

Constructed from N-1 case
Auto generated
Median selection network for 53 inputs, 260 CEs, 24 layers (cost=468):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(13,49),(14,50),(21,29),(22,30),(41,45),(42,46)]
[(2,20),(5,41),(6,42),(7,19),(9,45),(10,46),(13,21),(14,23),(28,37),(30,38),(31,49),(32,44)]
[(5,17),(6,40),(7,12),(9,16),(10,29),(11,45),(20,24),(22,41),(27,31),(34,46),(35,42),(39,44)]
[(6,13),(11,33),(12,25),(16,30),(17,22),(18,40),(19,27),(20,28),(21,35),(23,31),(24,32),(26,39),(29,34),(38,45)]
[(3,22),(7,28),(8,18),(10,26),(11,37),(13,32),(14,40),(15,34),(17,36),(19,38),(23,44),(25,41),(29,48),(33,43)]
[(1,26),(3,24),(4,28),(10,36),(11,22),(12,14),(13,16),(15,41),(19,30),(21,32),(23,47),(25,50),(27,48),(29,40),(35,38),(37,39)]
[(11,12),(14,22),(15,27),(16,18),(19,21),(24,36),(29,37),(30,32),(33,35),(39,40)]
[(12,18),(14,29),(15,23),(22,37),(28,36),(33,39)]
[(12,24),(15,33),(18,36),(19,28),(21,29),(22,30),(23,32),(27,39)]
[(14,24),(15,22),(18,26),(25,33),(27,37),(29,36)]
[(16,24),(21,26),(25,30),(27,35)]
[(15,21),(22,26),(23,27),(24,28),(25,29),(30,36)]
[(18,21),(22,23),(28,29),(30,33)]
[(21,28),(22,25),(23,30),(26,29)]
[(23,25),(26,28)]
[(23,26),(25,28)]
[(25,26)]
[(26,52)]
[(25,26)]

Constructed from N-1 case
Auto generated
Median selection network for 53 inputs, 262 CEs, 23 layers (cost=472):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,26),(28,32),(29,30),(31,35),(33,34),(36,40),(37,38),(39,43),(41,42),(44,48),(45,46),(47,51),(49,50)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,28),(17,21),(18,22),(19,31),(20,32),(23,35),(29,33),(30,34),(36,44),(37,41),(38,42),(39,47),(40,48),(43,51),(45,49),(46,50)]
[(0,36),(1,9),(2,10),(3,39),(4,8),(5,13),(6,14),(7,11),(12,48),(15,51),(17,29),(18,30),(20,28),(21,33),(22,34),(23,31),(37,45),(38,46),(40,44),(41,49),(42,50),(43,47)]
[(1,37),(2,38),(4,40),(5,9),(6,10),(7,43),(8,44),(11,47),(12,26),(13,49),(14,50),(15,31),(20,36),(21,29),(22,30),(25,39),(41,45),(42,46)]
[(1,4),(2,17),(5,41),(6,42),(7,30),(9,45),(10,46),(11,23),(13,29),(21,44),(22,38),(28,40),(34,49),(47,50)]
[(5,21),(6,18),(9,22),(10,32),(13,25),(19,41),(26,38),(29,42),(30,46),(33,45)]
[(3,26),(6,13),(9,28),(10,24),(11,18),(12,19),(15,29),(22,36),(23,42),(25,48),(27,41),(32,39),(33,40),(38,45)]
[(3,33),(7,24),(10,16),(12,17),(13,37),(14,38),(18,48),(19,26),(25,32),(27,44),(34,39),(35,41)]
[(11,25),(14,34),(16,28),(17,37),(18,27),(19,21),(23,35),(24,33),(26,40),(30,32)]
[(4,24),(7,21),(11,19),(15,26),(17,28),(23,34),(25,36),(27,47),(30,44),(32,40)]
[(3,19),(7,8),(14,30),(15,25),(18,24),(21,37),(26,36),(27,33),(32,48),(43,44)]
[(8,28),(14,21),(15,18),(19,22),(23,43),(24,26),(25,27),(29,32),(30,37),(33,36)]
[(13,24),(14,18),(21,26),(22,28),(23,29),(25,30),(27,38),(33,37)]
[(8,22),(18,28),(21,24),(23,33),(27,30),(29,43)]
[(18,25),(21,22),(23,27),(24,28),(26,33),(29,30)]
[(22,25),(23,24),(26,29),(27,28)]
[(24,25),(26,27)]
[(24,26),(25,27)]
[(25,26)]
[(26,52)]
[(25,26)]

Constructed from N-1 case
Auto generated
Median selection network for 53 inputs, 273 CEs, 21 layers (cost=494):

[(1,2),(3,5),(4,6),(7,9),(10,40),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(42,44),(43,45),(46,48),(47,49),(50,51)]
[(3,4),(5,6),(8,9),(10,39),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(40,41),(42,43),(44,45),(46,47),(48,49)]
[(0,6),(4,5),(7,8),(10,31),(11,19),(12,13),(14,22),(15,23),(16,17),(18,26),(20,21),(24,25),(27,35),(28,29),(30,38),(32,33),(34,41),(36,37),(39,40),(42,50),(43,44),(45,49),(46,52),(47,48)]
[(0,9),(1,7),(2,8),(10,27),(11,15),(12,20),(13,21),(14,18),(16,24),(17,25),(19,23),(22,26),(28,36),(29,37),(30,34),(31,35),(32,39),(33,40),(38,41),(42,46),(43,51),(44,48),(50,52)]
[(0,30),(3,35),(4,7),(5,8),(6,9),(11,42),(12,16),(13,17),(14,45),(15,19),(18,22),(20,24),(21,25),(23,52),(26,41),(27,31),(28,32),(29,33),(34,38),(36,39),(37,40),(43,47),(46,50)]
[(0,14),(1,4),(2,5),(3,23),(6,34),(7,39),(8,40),(9,38),(10,42),(12,43),(13,44),(15,46),(16,20),(17,21),(18,49),(19,50),(30,45),(32,36),(33,37),(35,52),(47,51)]
[(1,32),(2,33),(4,36),(5,37),(6,18),(7,24),(8,25),(9,22),(14,30),(16,47),(17,48),(20,51),(23,35),(27,46),(28,43),(29,44),(31,50),(34,49)]
[(0,27),(1,16),(2,17),(4,20),(5,21),(11,14),(12,28),(13,29),(18,34),(19,31),(22,52),(24,39),(25,40),(32,47),(33,48),(36,51)]
[(3,13),(4,42),(5,23),(6,29),(8,18),(15,27),(16,32),(17,33),(19,28),(20,36),(21,37),(22,38),(24,50),(25,34),(26,48),(30,47),(31,43),(39,45)]
[(2,28),(7,17),(9,33),(14,32),(20,46),(21,35),(22,26),(25,51),(27,42),(36,44)]
[(5,14),(6,20),(7,31),(8,36),(9,24),(10,26),(17,43),(18,44),(21,30),(22,25),(23,32),(27,41),(28,42),(29,46),(33,50),(35,47)]
[(8,21),(9,28),(13,42),(14,31),(18,35),(22,39),(23,29),(24,30),(25,46),(32,43),(33,49)]
[(8,27),(13,16),(14,23),(17,29),(18,33),(20,31),(21,28),(24,36),(25,32),(26,43),(30,35),(37,39)]
[(16,27),(17,20),(18,24),(22,25),(26,37),(28,42),(29,31),(33,36)]
[(18,29),(20,23),(24,31),(25,26),(27,28),(30,33)]
[(18,27),(22,28),(25,42),(26,31)]
[(21,27),(22,23),(24,28),(25,29),(26,32),(30,42)]
[(23,25),(24,27),(26,29),(28,30)]
[(25,26),(27,28)]
[(25,27),(26,28)]
[(26,27)]

Constructed from N+2 case
Auto generated
Median selection network for 53 inputs, 297 CEs, 20 layers (cost=542):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,52)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50)]
[(0,1),(2,14),(3,43),(4,5),(6,46),(7,47),(8,9),(10,50),(12,13),(16,17),(19,23),(20,21),(22,26),(24,25),(27,31),(28,29),(30,34),(32,33),(36,37),(39,51),(40,41),(44,45),(48,49)]
[(0,12),(1,13),(2,38),(4,44),(5,45),(7,19),(8,48),(9,49),(10,22),(11,23),(14,26),(15,51),(20,24),(21,25),(27,39),(28,32),(29,33),(30,42),(31,43),(34,46),(40,52)]
[(0,36),(1,37),(2,10),(3,39),(6,42),(7,27),(8,20),(9,21),(11,47),(12,24),(13,25),(14,50),(15,31),(16,52),(18,34),(19,35),(22,38),(26,46),(28,40),(29,41),(32,44),(33,45),(43,51)]
[(0,8),(1,9),(3,11),(4,40),(5,41),(6,14),(10,30),(12,48),(13,49),(15,19),(16,32),(17,33),(18,22),(20,36),(21,37),(23,43),(25,45),(31,35),(34,38),(39,47),(42,50),(44,52)]
[(2,10),(3,15),(4,12),(5,13),(6,18),(8,28),(9,29),(11,27),(14,30),(16,20),(17,21),(19,31),(22,34),(23,39),(24,44),(26,42),(32,36),(33,37),(35,47),(38,50),(40,48),(41,49),(43,51)]
[(0,8),(1,9),(2,6),(4,16),(5,17),(7,15),(10,18),(11,39),(12,28),(13,29),(14,42),(19,27),(20,32),(21,33),(22,30),(23,31),(24,40),(25,41),(26,34),(35,43),(36,48),(37,49),(38,46),(44,52),(47,51)]
[(1,5),(6,10),(8,16),(9,17),(12,40),(13,41),(14,18),(19,23),(20,28),(21,29),(22,26),(24,32),(25,33),(27,31),(30,34),(35,39),(36,44),(37,45),(43,47),(48,52)]
[(1,47),(5,9),(6,52),(12,16),(13,17),(14,22),(18,26),(20,24),(21,25),(27,35),(28,32),(29,33),(31,39),(36,40),(37,41),(44,48)]
[(5,20),(10,14),(13,21),(16,24),(17,25),(18,22),(28,36),(29,37),(31,35),(32,40),(33,48),(39,43)]
[(2,32),(6,36),(9,39),(10,40),(11,22),(12,20),(13,43),(14,44),(16,35),(17,47),(18,37),(21,51),(31,42),(33,41)]
[(2,17),(6,20),(10,24),(13,15),(14,28),(18,32),(21,35),(25,39),(29,43),(33,47),(36,51),(38,40)]
[(10,25),(14,29),(15,21),(17,31),(18,33),(20,35),(22,36),(24,39),(28,43),(32,38)]
[(14,20),(18,24),(21,23),(22,28),(25,31),(29,35),(30,32),(33,39)]
[(18,25),(22,29),(23,27),(24,31),(26,30),(28,35)]
[(20,22),(24,28),(25,29),(31,33)]
[(22,24),(25,27),(26,28),(29,31)]
[(24,27),(26,29)]
[(26,27)]

Constructed from N+1 case
Auto generated
Median selection network for 54 inputs, 276 CEs, 23 layers (cost=500):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(42,46),(44,45),(47,51),(48,49),(52,53)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,31),(16,20),(17,21),(18,34),(19,35),(22,38),(24,28),(25,29),(32,36),(33,37),(39,47),(40,44),(41,45),(42,50),(43,51),(48,52),(49,53)]
[(0,8),(1,9),(2,42),(3,7),(4,12),(5,13),(6,10),(11,51),(16,32),(17,33),(19,31),(20,36),(21,37),(22,34),(40,48),(41,49),(43,47),(44,52),(45,53),(46,50)]
[(0,40),(1,41),(2,17),(3,43),(4,8),(5,9),(6,46),(7,47),(10,50),(12,52),(13,53),(20,32),(21,33),(36,51),(44,48),(45,49)]
[(4,44),(5,45),(8,48),(9,49),(10,22),(11,17),(12,28),(25,41),(31,43),(36,42)]
[(1,31),(4,16),(5,40),(8,24),(9,18),(13,48),(17,27),(22,52),(26,36),(29,45),(35,44),(37,49)]
[(2,8),(5,19),(9,43),(10,44),(13,32),(16,26),(17,25),(18,30),(20,24),(21,40),(23,35),(27,37),(28,36),(29,33),(34,48),(45,51)]
[(7,23),(8,11),(9,17),(10,41),(12,43),(14,33),(19,29),(20,39),(24,34),(30,46),(36,44),(42,45)]
[(6,24),(10,25),(11,35),(12,26),(15,23),(17,21),(18,42),(27,41),(28,43),(29,47),(30,38),(32,36)]
[(6,27),(8,10),(11,19),(16,17),(18,28),(21,23),(25,35),(26,47),(30,32),(34,42),(36,37),(43,45)]
[(0,19),(3,10),(18,27),(21,31),(22,32),(24,28),(25,29),(26,35),(34,53),(43,50)]
[(6,26),(10,39),(14,43),(17,25),(18,31),(22,35),(23,29),(24,30),(27,47),(28,36)]
[(6,12),(13,31),(14,34),(18,25),(19,39),(22,40),(23,24),(28,35),(29,30),(41,47)]
[(12,23),(13,19),(14,28),(22,27),(25,39),(26,31),(30,41),(34,40)]
[(10,26),(14,30),(19,25),(23,39),(27,43),(28,34)]
[(14,22),(23,25),(28,30),(31,39)]
[(22,27),(24,25),(26,31),(28,29)]
[(22,28),(24,26),(25,31),(27,29)]
[(14,25),(22,26),(27,31),(28,39)]
[(25,27),(26,28)]
[(25,26),(27,28)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 54 inputs, 278 CEs, 22 layers (cost=504):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(42,46),(44,45),(47,51),(48,49),(52,53)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,31),(16,20),(17,21),(18,34),(19,35),(22,38),(24,28),(25,29),(32,36),(33,37),(39,47),(40,44),(41,45),(42,50),(43,51),(48,52),(49,53)]
[(0,8),(1,9),(2,42),(3,7),(4,12),(5,13),(6,10),(11,51),(16,32),(17,33),(18,25),(19,31),(20,36),(21,37),(22,34),(28,35),(40,48),(41,49),(43,47),(44,52),(45,53),(46,50)]
[(0,40),(1,41),(2,26),(3,43),(4,8),(5,9),(6,46),(7,47),(10,50),(12,52),(13,53),(20,32),(21,33),(27,51),(44,48),(45,49)]
[(1,19),(2,17),(4,44),(5,45),(6,32),(7,15),(8,48),(9,49),(12,31),(21,47),(22,41),(34,52),(36,51),(38,46)]
[(1,48),(2,4),(5,52),(6,40),(8,24),(9,25),(11,17),(12,27),(13,47),(26,41),(28,44),(29,45),(36,42),(49,51)]
[(5,18),(8,16),(11,19),(13,36),(17,40),(20,24),(22,27),(26,31),(29,33),(34,42),(35,48),(37,45)]
[(5,12),(10,37),(11,28),(14,33),(15,29),(16,43),(18,27),(19,23),(20,39),(24,38),(25,42),(26,35),(30,34),(41,48)]
[(3,15),(4,19),(9,43),(10,44),(12,16),(17,18),(21,23),(24,27),(26,29),(30,32),(34,49),(35,36),(37,41),(38,50)]
[(9,22),(10,23),(13,18),(14,27),(15,16),(17,21),(19,28),(25,34),(26,39),(30,43),(31,44),(32,36),(35,40),(37,38)]
[(6,16),(9,26),(13,28),(18,29),(21,22),(24,35),(25,40),(27,44),(31,32),(37,47)]
[(0,13),(10,24),(16,26),(18,22),(19,21),(27,37),(29,43),(31,35),(32,34),(40,53)]
[(10,18),(13,26),(14,29),(24,39),(27,40),(35,43)]
[(14,25),(18,30),(21,24),(22,26),(23,35),(27,31),(28,39),(29,32)]
[(14,27),(22,24),(23,25),(26,39),(28,30),(29,31)]
[(18,28),(24,26),(25,35),(27,29)]
[(14,28),(23,26),(25,39),(27,30)]
[(23,27),(24,28),(25,29),(26,30)]
[(25,26),(27,28)]
[(25,27),(26,28)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 54 inputs, 279 CEs, 21 layers (cost=506):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(25,27),(26,28),(30,34),(31,32),(33,37),(35,36),(38,42),(39,40),(41,45),(43,44),(46,50),(47,48),(49,53),(51,52)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,30),(17,21),(18,22),(19,33),(20,34),(23,37),(24,26),(25,28),(27,29),(31,35),(32,36),(38,46),(39,43),(40,44),(41,49),(42,50),(45,53),(47,51),(48,52)]
[(1,9),(2,10),(4,8),(5,13),(6,14),(7,11),(15,38),(17,31),(18,32),(20,30),(21,35),(22,36),(23,33),(25,26),(27,28),(39,47),(40,48),(42,46),(43,51),(44,52),(45,49)]
[(1,39),(5,9),(6,10),(7,25),(8,18),(14,52),(21,31),(22,32),(23,27),(26,30),(28,46),(35,45),(43,47),(44,48)]
[(1,16),(2,43),(3,44),(4,28),(5,40),(6,42),(9,50),(10,51),(11,47),(13,48),(14,32),(18,23),(21,39),(25,49),(30,35),(37,52)]
[(2,26),(3,18),(5,20),(6,8),(9,30),(10,31),(11,12),(13,39),(14,40),(19,28),(22,43),(23,44),(25,34),(27,51),(33,48),(35,50),(41,42),(45,47)]
[(0,9),(7,20),(8,30),(10,18),(11,14),(12,28),(13,24),(22,26),(23,45),(25,41),(27,31),(29,40),(33,46),(35,43),(39,42),(44,53)]
[(3,13),(4,10),(7,19),(8,21),(9,15),(11,16),(12,20),(14,17),(18,27),(23,24),(26,35),(29,30),(32,45),(33,41),(34,46),(36,39),(37,42),(38,44),(40,50),(43,49)]
[(12,33),(13,21),(15,22),(17,26),(18,24),(20,41),(23,25),(27,36),(28,30),(29,35),(31,38),(32,40)]
[(12,17),(14,22),(16,29),(20,26),(21,23),(24,37),(27,33),(30,32),(31,39),(36,41)]
[(10,27),(16,19),(17,29),(18,22),(23,25),(24,36),(26,43),(28,30),(31,35),(34,37)]
[(10,17),(19,27),(22,25),(26,34),(28,31),(36,43)]
[(17,18),(19,23),(20,22),(24,26),(27,29),(30,34),(31,33),(35,36)]
[(18,23),(20,27),(24,28),(25,29),(26,33),(30,35)]
[(22,25),(23,27),(26,30),(28,31)]
[(22,23),(25,27),(26,28),(30,31)]
[(23,26),(24,25),(27,30),(28,29)]
[(25,26),(27,28)]
[(25,27),(26,28)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 54 inputs, 280 CEs, 20 layers (cost=508):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,1),(2,10),(3,7),(4,5),(8,9),(11,19),(12,13),(14,22),(15,23),(16,17),(18,26),(20,21),(24,25),(27,35),(28,29),(30,38),(31,39),(32,33),(34,42),(36,37),(40,41),(43,51),(44,45),(46,50),(48,49),(52,53)]
[(0,8),(1,9),(6,10),(11,15),(12,20),(13,21),(14,18),(16,24),(17,25),(19,23),(22,26),(27,31),(28,36),(29,37),(30,34),(32,40),(33,41),(35,39),(38,42),(43,47),(44,52),(45,53)]
[(2,6),(4,8),(5,9),(7,39),(10,42),(11,43),(12,16),(13,17),(14,46),(15,19),(18,22),(20,24),(21,25),(28,32),(29,33),(31,35),(34,38),(36,40),(37,41),(44,48),(45,49),(47,51)]
[(0,4),(1,5),(2,34),(3,35),(6,38),(7,23),(8,40),(9,41),(10,26),(12,44),(13,45),(15,47),(16,20),(17,21),(18,50),(19,51),(27,43),(30,46),(32,36),(33,37),(48,52),(49,53)]
[(0,32),(1,33),(2,18),(3,19),(4,36),(5,37),(6,22),(8,24),(9,25),(14,30),(16,48),(17,49),(20,52),(21,53),(23,39),(28,44),(29,45),(31,47),(34,50),(35,51)]
[(0,16),(1,17),(4,20),(5,21),(11,14),(12,28),(13,29),(15,31),(18,34),(19,35),(22,38),(24,40),(25,41),(32,48),(33,49),(36,52),(37,53),(39,42)]
[(2,29),(4,43),(5,23),(7,13),(9,18),(10,49),(16,32),(17,33),(19,28),(20,36),(21,37),(24,51),(25,34),(30,48),(35,44),(40,46)]
[(1,28),(6,33),(8,17),(10,22),(14,32),(20,47),(21,39),(25,52),(31,43),(36,45)]
[(2,20),(5,14),(6,24),(8,35),(9,36),(10,25),(17,44),(18,45),(21,30),(22,27),(23,32),(26,31),(28,43),(29,47),(33,51),(39,48)]
[(3,20),(6,28),(9,21),(10,40),(13,43),(14,35),(18,39),(23,29),(24,30),(25,47),(32,44),(33,50)]
[(9,26),(13,16),(14,23),(17,29),(18,33),(20,35),(21,28),(24,36),(25,32),(27,44),(30,39),(37,40)]
[(10,25),(16,26),(17,20),(18,24),(27,37),(28,43),(29,35),(33,36)]
[(18,29),(20,23),(24,35),(25,27),(26,28),(30,33)]
[(10,28),(18,26),(25,43),(27,35)]
[(10,23),(21,26),(24,28),(25,29),(27,32),(30,43)]
[(23,25),(24,26),(27,29),(28,30)]
[(25,27),(26,28)]
[(25,26),(27,28)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 54 inputs, 302 CEs, 19 layers (cost=552):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,1),(2,14),(3,43),(4,5),(6,46),(7,47),(8,9),(10,50),(12,13),(16,17),(19,23),(20,21),(22,26),(24,25),(27,31),(28,29),(30,34),(32,33),(36,37),(39,51),(40,41),(44,45),(48,49),(52,53)]
[(0,12),(1,13),(2,38),(4,44),(5,45),(7,19),(8,48),(9,49),(10,22),(11,23),(14,26),(15,51),(20,24),(21,25),(27,39),(28,32),(29,33),(30,42),(31,43),(34,46),(40,52),(41,53)]
[(0,36),(1,37),(2,10),(3,39),(6,42),(7,27),(8,20),(9,21),(11,47),(12,24),(13,25),(14,50),(15,31),(16,52),(17,53),(18,34),(19,35),(22,38),(26,46),(28,40),(29,41),(32,44),(33,45),(43,51)]
[(0,8),(1,9),(3,11),(4,40),(5,41),(6,14),(10,30),(12,48),(13,49),(15,19),(16,32),(17,33),(18,22),(20,36),(21,37),(23,43),(31,35),(34,38),(39,47),(42,50),(44,52),(45,53)]
[(2,10),(3,15),(4,12),(5,13),(6,18),(8,28),(9,29),(11,27),(14,30),(16,20),(17,21),(19,31),(22,34),(23,39),(24,44),(25,45),(26,42),(32,36),(33,37),(35,47),(38,50),(40,48),(41,49),(43,51)]
[(0,8),(1,9),(2,6),(4,16),(5,17),(7,15),(10,18),(11,39),(12,28),(13,29),(14,42),(19,27),(20,32),(21,33),(22,30),(23,31),(24,40),(25,41),(26,34),(35,43),(36,48),(37,49),(38,46),(44,52),(45,53),(47,51)]
[(1,5),(6,10),(8,16),(9,17),(12,40),(13,41),(14,18),(19,23),(20,28),(21,29),(22,26),(24,32),(25,33),(27,31),(30,34),(35,39),(36,44),(37,45),(43,47),(48,52)]
[(1,47),(5,9),(6,52),(12,16),(13,17),(14,22),(18,26),(20,24),(21,25),(27,35),(28,32),(29,33),(31,39),(36,40),(37,41),(44,48)]
[(5,20),(10,14),(13,21),(16,24),(17,25),(18,22),(28,36),(29,37),(31,35),(32,40),(33,48),(39,43)]
[(2,32),(6,36),(9,39),(10,40),(11,22),(12,20),(13,43),(14,44),(16,35),(17,47),(18,37),(21,51),(31,42),(33,41)]
[(2,17),(6,20),(10,24),(13,15),(14,28),(18,32),(21,35),(25,39),(29,43),(33,47),(36,51),(38,40)]
[(10,25),(14,29),(15,21),(17,31),(18,33),(20,35),(22,36),(24,39),(28,43),(32,38)]
[(14,20),(18,24),(21,23),(22,28),(25,31),(29,35),(30,32),(33,39)]
[(18,25),(22,29),(23,27),(24,31),(26,30),(28,35)]
[(20,22),(24,28),(25,29),(31,33)]
[(22,24),(25,27),(26,28),(29,31)]
[(24,27),(26,29)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 55 inputs, 279 CEs, 26 layers (cost=504):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(42,46),(44,45),(47,51),(48,49),(52,53)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,31),(16,20),(17,21),(18,34),(19,35),(22,38),(24,28),(25,29),(32,36),(33,37),(39,47),(40,44),(41,45),(42,50),(43,51),(48,52),(49,53)]
[(0,8),(1,9),(2,42),(3,7),(4,12),(5,13),(6,10),(11,51),(16,32),(17,33),(19,31),(20,36),(21,37),(22,34),(40,48),(41,49),(43,47),(44,52),(45,53),(46,50)]
[(0,40),(1,41),(2,17),(3,43),(4,8),(5,9),(6,46),(7,47),(10,50),(12,52),(13,53),(20,32),(21,33),(36,51),(44,48),(45,49)]
[(4,44),(5,45),(8,48),(9,49),(10,22),(11,17),(12,28),(25,41),(31,43),(36,42)]
[(1,31),(4,16),(5,40),(8,24),(9,18),(13,48),(17,27),(22,52),(26,36),(29,45),(35,44),(37,49)]
[(2,8),(5,19),(9,43),(10,44),(13,32),(16,26),(17,25),(18,30),(20,24),(21,40),(23,35),(27,37),(28,36),(29,33),(34,48),(45,51)]
[(7,23),(8,11),(9,17),(10,41),(12,43),(14,33),(19,29),(20,39),(24,34),(30,46),(36,44),(42,45)]
[(6,24),(10,25),(11,35),(12,26),(15,23),(17,21),(18,42),(27,41),(28,43),(29,47),(30,38),(32,36)]
[(6,27),(8,10),(11,19),(16,17),(18,28),(21,23),(25,35),(26,47),(30,32),(34,42),(36,37),(43,45)]
[(0,19),(3,10),(18,27),(21,31),(22,32),(24,28),(25,29),(26,35),(34,53),(43,50)]
[(6,26),(10,39),(14,43),(17,25),(18,31),(22,35),(23,29),(24,30),(27,47),(28,36)]
[(6,12),(13,31),(14,34),(18,25),(19,39),(22,40),(23,24),(28,35),(29,30),(41,47)]
[(12,23),(13,19),(14,28),(22,27),(25,39),(26,31),(30,41),(34,40)]
[(10,26),(14,30),(19,25),(23,39),(27,43),(28,34)]
[(14,22),(23,25),(28,30),(31,39)]
[(22,27),(24,25),(26,31),(28,29)]
[(22,28),(24,26),(25,31),(27,29)]
[(14,25),(22,26),(27,31),(28,39)]
[(25,27),(26,28)]
[(25,26),(27,28)]
[(26,27)]
[(27,54)]
[(26,27)]

Constructed from N-1 case
Auto generated
Median selection network for 55 inputs, 281 CEs, 23 layers (cost=508):

[(1,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,52)]
[(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50)]
[(0,6),(2,10),(3,7),(4,5),(8,9),(11,19),(12,13),(14,22),(15,23),(16,17),(18,26),(20,21),(24,25),(27,35),(28,29),(30,38),(31,39),(32,33),(34,42),(36,37),(40,41),(43,51),(44,45),(46,50),(47,53),(48,49)]
[(0,2),(1,9),(4,8),(6,10),(11,15),(12,20),(13,21),(14,18),(16,24),(17,25),(19,23),(22,26),(27,31),(28,36),(29,37),(30,34),(32,40),(33,41),(35,39),(38,42),(43,47),(44,52),(45,49),(51,53)]
[(0,30),(2,6),(5,9),(7,39),(10,42),(11,43),(12,16),(13,17),(14,46),(15,19),(18,22),(20,24),(21,25),(23,53),(28,32),(29,33),(31,35),(34,38),(36,40),(37,41),(44,48),(47,51)]
[(0,14),(1,5),(2,34),(3,35),(6,38),(7,23),(8,40),(9,41),(10,26),(12,44),(13,45),(15,47),(16,20),(17,21),(18,50),(19,51),(27,43),(30,46),(32,36),(33,37),(39,53),(48,52)]
[(1,33),(2,18),(3,19),(4,36),(5,37),(6,22),(8,24),(9,25),(14,30),(16,48),(17,49),(20,52),(23,39),(28,44),(29,45),(31,47),(34,50),(35,51)]
[(0,31),(1,17),(4,20),(5,21),(11,14),(12,28),(13,29),(18,34),(19,35),(22,53),(24,40),(25,41),(32,48),(33,49),(36,52),(39,42)]
[(2,29),(4,43),(5,23),(7,13),(9,18),(10,49),(15,31),(16,32),(17,33),(19,28),(20,36),(21,37),(22,38),(24,51),(25,34),(30,48),(35,44),(40,46)]
[(1,28),(6,33),(8,17),(10,22),(14,32),(20,47),(21,39),(25,52),(31,43),(36,45)]
[(2,20),(5,14),(6,24),(8,35),(9,36),(10,25),(17,44),(18,45),(21,30),(22,27),(23,32),(26,31),(28,43),(29,47),(33,51),(39,48)]
[(3,20),(6,28),(9,21),(10,40),(13,43),(14,35),(18,39),(23,29),(24,30),(25,47),(32,44),(33,50)]
[(9,26),(13,16),(14,23),(17,29),(18,33),(20,35),(21,28),(24,36),(25,32),(27,44),(30,39),(37,40)]
[(10,25),(16,26),(17,20),(18,24),(27,37),(28,43),(29,35),(33,36)]
[(18,29),(20,23),(24,35),(25,27),(26,28),(30,33)]
[(10,28),(18,26),(25,43),(27,35)]
[(10,23),(21,26),(24,28),(25,29),(27,32),(30,43)]
[(23,25),(24,26),(27,29),(28,30)]
[(25,27),(26,28)]
[(25,26),(27,28)]
[(26,27)]
[(27,54)]
[(26,27)]

Constructed from N+2 case
Auto generated
Median selection network for 55 inputs, 285 CEs, 21 layers (cost=516):

[(1,2),(3,9),(4,6),(5,7),(8,10),(11,41),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(43,45),(44,46),(47,49),(48,50),(52,53)]
[(3,8),(4,5),(6,7),(9,10),(11,40),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52)]
[(0,7),(3,4),(5,6),(8,9),(11,32),(12,20),(13,14),(15,23),(16,24),(17,18),(19,27),(21,22),(25,26),(28,36),(29,30),(31,39),(33,34),(35,42),(37,38),(40,41),(43,51),(44,45),(46,50),(47,54),(48,49),(52,53)]
[(0,10),(1,8),(2,9),(11,28),(12,16),(13,21),(14,22),(15,19),(17,25),(18,26),(20,24),(23,27),(29,37),(30,38),(31,35),(32,36),(33,40),(34,41),(39,42),(43,47),(44,52),(45,53),(51,54)]
[(0,31),(4,36),(5,8),(6,9),(7,10),(12,43),(13,17),(14,18),(15,46),(16,20),(19,23),(21,25),(22,26),(24,54),(27,42),(28,32),(29,33),(30,34),(35,39),(37,40),(38,41),(44,48),(45,49),(47,51)]
[(0,15),(1,5),(2,6),(3,32),(4,24),(7,35),(8,40),(9,41),(10,39),(11,43),(13,44),(14,45),(16,47),(17,21),(18,22),(19,50),(20,51),(31,46),(33,37),(34,38),(36,54),(48,52),(49,53)]
[(1,33),(2,34),(3,20),(5,37),(6,38),(7,19),(8,25),(9,26),(10,23),(15,31),(17,48),(18,49),(21,52),(22,53),(24,36),(28,47),(29,44),(30,45),(32,51),(35,50)]
[(0,28),(1,17),(2,18),(5,21),(6,22),(12,15),(13,29),(14,30),(19,35),(20,32),(23,54),(25,40),(26,41),(33,48),(34,49),(37,52),(38,53)]
[(4,14),(5,43),(6,24),(7,30),(9,19),(16,28),(17,33),(18,34),(20,29),(21,37),(22,38),(23,39),(25,51),(26,35),(27,49),(31,48),(32,44),(40,46)]
[(2,29),(8,18),(10,34),(15,33),(21,47),(22,36),(23,27),(26,52),(28,43),(37,45)]
[(6,15),(7,21),(8,32),(9,37),(10,25),(11,27),(18,44),(19,45),(22,31),(23,26),(24,33),(28,42),(29,43),(30,47),(34,51),(36,48)]
[(3,21),(9,22),(10,29),(14,43),(15,32),(19,36),(23,40),(24,30),(25,31),(26,47),(33,44),(34,50)]
[(9,28),(14,17),(15,24),(18,30),(19,34),(21,32),(22,29),(25,37),(26,33),(27,44),(31,36),(38,40)]
[(17,28),(18,21),(19,25),(23,26),(27,38),(29,43),(30,32),(34,37)]
[(19,30),(21,24),(25,32),(26,27),(28,29),(31,34)]
[(19,28),(23,29),(26,43),(27,32)]
[(22,28),(23,24),(25,29),(26,30),(27,33),(31,43)]
[(24,26),(25,28),(27,30),(29,31)]
[(26,27),(28,29)]
[(26,28),(27,29)]
[(27,28)]

Constructed from N+2 case
Auto generated
Median selection network for 55 inputs, 309 CEs, 20 layers (cost=564):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53)]
[(0,12),(1,2),(3,15),(4,44),(5,6),(7,47),(8,48),(9,10),(11,51),(13,14),(17,18),(20,24),(21,22),(23,27),(25,26),(28,32),(29,30),(31,35),(33,34),(37,38),(40,52),(41,42),(45,46),(49,50),(53,54)]
[(0,36),(1,13),(2,14),(3,39),(5,45),(6,46),(8,20),(9,49),(10,50),(11,23),(12,24),(15,27),(16,52),(21,25),(22,26),(28,40),(29,33),(30,34),(31,43),(32,44),(35,47),(41,53),(42,54)]
[(0,8),(1,37),(2,38),(3,11),(4,40),(7,43),(9,21),(10,22),(12,48),(13,25),(14,26),(15,51),(16,32),(17,53),(18,54),(19,35),(20,36),(23,39),(27,47),(29,41),(30,42),(33,45),(34,46),(44,52)]
[(1,9),(2,10),(4,12),(5,41),(6,42),(7,15),(8,28),(11,31),(13,49),(14,50),(16,20),(17,33),(18,34),(19,23),(21,37),(22,38),(24,44),(32,36),(35,39),(40,48),(43,51),(45,53),(46,54)]
[(0,8),(3,11),(4,16),(5,13),(6,14),(7,19),(9,29),(10,30),(12,28),(15,31),(17,21),(18,22),(20,32),(23,35),(24,40),(25,45),(26,46),(27,43),(33,37),(34,38),(36,48),(39,51),(41,49),(42,50),(44,52)]
[(1,9),(2,10),(3,7),(5,17),(6,18),(8,16),(11,19),(12,40),(13,29),(14,30),(15,43),(20,28),(21,33),(22,34),(23,31),(24,32),(25,41),(26,42),(27,35),(36,44),(37,49),(38,50),(39,47),(45,53),(46,54),(48,52)]
[(2,6),(7,11),(9,17),(10,18),(13,41),(14,42),(15,19),(20,24),(21,29),(22,30),(23,27),(25,33),(26,34),(28,32),(31,35),(36,40),(37,45),(38,46),(44,48),(49,53)]
[(2,48),(6,10),(7,53),(13,17),(14,18),(15,23),(19,27),(21,25),(22,26),(28,36),(29,33),(30,34),(32,40),(37,41),(38,42),(45,49)]
[(6,21),(11,15),(14,22),(17,25),(18,26),(19,23),(29,37),(30,38),(32,36),(33,41),(34,49),(40,44)]
[(3,33),(7,37),(10,40),(11,41),(12,23),(13,21),(14,44),(15,45),(17,36),(18,48),(19,38),(22,52),(32,43),(34,42)]
[(3,18),(7,21),(11,25),(14,16),(15,29),(19,33),(22,36),(26,40),(30,44),(34,48),(37,52),(39,41)]
[(11,26),(15,30),(16,22),(18,32),(19,34),(21,36),(23,37),(25,40),(29,44),(33,39)]
[(15,21),(19,25),(22,24),(23,29),(26,32),(30,36),(31,33),(34,40)]
[(19,26),(23,30),(24,28),(25,32),(27,31),(29,36)]
[(21,23),(25,29),(26,30),(32,34)]
[(23,25),(26,28),(27,29),(30,32)]
[(25,28),(27,30)]
[(27,28)]

Constructed from N+1 case
Auto generated
Median selection network for 56 inputs, 286 CEs, 23 layers (cost=518):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,32),(17,21),(18,22),(19,35),(20,36),(23,39),(25,29),(26,30),(33,37),(34,38),(40,48),(41,45),(42,46),(43,51),(44,52),(47,55),(49,53),(50,54)]
[(0,40),(1,9),(2,10),(3,43),(4,8),(5,13),(6,14),(7,11),(12,52),(15,55),(17,33),(18,34),(20,32),(21,37),(22,38),(23,35),(41,49),(42,50),(44,48),(45,53),(46,54),(47,51)]
[(1,41),(2,42),(3,18),(4,44),(5,9),(6,10),(7,47),(8,48),(11,51),(13,53),(14,54),(21,33),(22,34),(37,52),(45,49),(46,50)]
[(5,45),(6,46),(9,49),(10,50),(11,23),(12,18),(13,29),(26,42),(32,44),(37,43)]
[(2,32),(5,17),(6,41),(9,25),(10,19),(14,49),(18,28),(23,53),(27,37),(30,46),(36,45),(38,50)]
[(3,9),(6,20),(10,44),(11,45),(14,33),(17,27),(18,26),(19,31),(21,25),(22,41),(24,36),(28,38),(29,37),(30,34),(35,49),(46,52)]
[(8,24),(9,12),(10,18),(11,42),(13,44),(15,34),(20,30),(21,40),(25,35),(31,47),(37,45),(43,46)]
[(7,25),(11,26),(12,36),(13,27),(16,24),(18,22),(19,43),(28,42),(29,44),(30,48),(31,39),(33,37)]
[(7,28),(9,11),(12,20),(17,18),(19,29),(22,24),(26,36),(27,48),(31,33),(35,43),(37,38),(44,46)]
[(1,20),(4,11),(19,28),(22,32),(23,33),(25,29),(26,30),(27,36),(35,54),(44,51)]
[(7,27),(11,40),(15,44),(18,26),(19,32),(23,36),(24,30),(25,31),(28,48),(29,37)]
[(7,13),(14,32),(15,35),(19,26),(20,40),(23,41),(24,25),(29,36),(30,31),(42,48)]
[(13,24),(14,20),(15,29),(23,28),(26,40),(27,32),(31,42),(35,41)]
[(11,27),(15,31),(20,26),(24,40),(28,44),(29,35)]
[(15,23),(24,26),(29,31),(32,40)]
[(23,28),(25,26),(27,32),(29,30)]
[(23,29),(25,27),(26,32),(28,30)]
[(15,26),(23,27),(28,32),(29,40)]
[(26,28),(27,29)]
[(26,27),(28,29)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 56 inputs, 288 CEs, 22 layers (cost=522):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,32),(17,21),(18,22),(19,35),(20,36),(23,39),(25,29),(26,30),(33,37),(34,38),(40,48),(41,45),(42,46),(43,51),(44,52),(47,55),(49,53),(50,54)]
[(0,40),(1,9),(2,10),(3,43),(4,8),(5,13),(6,14),(7,11),(12,52),(15,55),(17,33),(18,34),(19,26),(20,32),(21,37),(22,38),(23,35),(29,36),(41,49),(42,50),(44,48),(45,53),(46,54),(47,51)]
[(1,41),(2,42),(3,27),(4,44),(5,9),(6,10),(7,47),(8,48),(11,51),(13,53),(14,54),(21,33),(22,34),(28,52),(45,49),(46,50)]
[(2,20),(3,18),(5,45),(6,46),(7,33),(8,16),(9,49),(10,50),(13,32),(22,48),(23,42),(35,53),(37,52),(39,47)]
[(2,49),(3,5),(6,53),(7,41),(9,25),(10,26),(12,18),(13,28),(14,48),(27,42),(29,45),(30,46),(37,43),(50,52)]
[(6,19),(9,17),(12,20),(14,37),(18,41),(21,25),(23,28),(27,32),(30,34),(35,43),(36,49),(38,46)]
[(6,13),(11,38),(12,29),(15,34),(16,30),(17,44),(19,28),(20,24),(21,40),(25,39),(26,43),(27,36),(31,35),(42,49)]
[(4,16),(5,20),(10,44),(11,45),(13,17),(18,19),(22,24),(25,28),(27,30),(31,33),(35,50),(36,37),(38,42),(39,51)]
[(10,23),(11,24),(14,19),(15,28),(16,17),(18,22),(20,29),(26,35),(27,40),(31,44),(32,45),(33,37),(36,41),(38,39)]
[(7,17),(10,27),(14,29),(19,30),(22,23),(25,36),(26,41),(28,45),(32,33),(38,48)]
[(1,14),(11,25),(17,27),(19,23),(20,22),(28,38),(30,44),(32,36),(33,35),(41,54)]
[(11,19),(14,27),(15,30),(25,40),(28,41),(36,44)]
[(15,26),(19,31),(22,25),(23,27),(24,36),(28,32),(29,40),(30,33)]
[(15,28),(23,25),(24,26),(27,40),(29,31),(30,32)]
[(19,29),(25,27),(26,36),(28,30)]
[(15,29),(24,27),(26,40),(28,31)]
[(24,28),(25,29),(26,30),(27,31)]
[(26,27),(28,29)]
[(26,28),(27,29)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 56 inputs, 290 CEs, 21 layers (cost=526):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,32),(17,21),(18,22),(19,35),(20,36),(23,39),(25,29),(26,30),(33,37),(34,38),(40,48),(41,45),(42,46),(43,51),(44,52),(47,55),(49,53),(50,54)]
[(0,40),(1,9),(2,10),(3,43),(4,8),(5,13),(6,14),(7,11),(12,52),(15,55),(17,33),(18,34),(19,26),(20,32),(21,37),(22,38),(23,35),(29,36),(41,49),(42,50),(44,48),(45,53),(46,54),(47,51)]
[(1,41),(2,42),(3,27),(4,44),(5,9),(6,10),(7,47),(8,48),(11,51),(13,53),(14,54),(21,33),(22,34),(28,52),(45,49),(46,50)]
[(3,18),(4,20),(5,45),(6,46),(7,33),(8,16),(9,49),(10,50),(11,38),(13,32),(17,44),(22,48),(23,42),(35,51),(37,52),(39,47)]
[(2,20),(3,5),(6,19),(7,41),(9,25),(10,26),(12,18),(13,28),(14,48),(27,42),(29,45),(30,46),(35,53),(36,49),(37,43),(50,52)]
[(1,2),(7,17),(10,44),(11,45),(14,37),(18,41),(20,22),(21,25),(23,28),(27,32),(30,34),(33,35),(38,48),(53,54)]
[(2,17),(5,20),(14,18),(15,34),(16,30),(19,28),(21,40),(22,24),(23,29),(25,39),(26,32),(27,36),(31,33),(35,50),(37,41),(38,53)]
[(6,16),(9,14),(10,22),(11,24),(12,23),(13,17),(15,35),(18,27),(20,40),(28,37),(31,44),(32,43),(33,45),(38,42),(39,49),(41,46)]
[(11,14),(16,17),(18,29),(19,24),(22,23),(25,28),(26,37),(27,30),(31,36),(32,33),(38,39),(41,44)]
[(14,31),(15,28),(17,23),(18,20),(19,29),(24,41),(26,36),(27,40),(32,38),(35,37)]
[(11,27),(14,17),(15,24),(19,22),(23,29),(26,32),(28,44),(31,40),(33,36),(38,41)]
[(15,26),(17,20),(22,27),(24,30),(25,31),(28,33),(29,40),(35,38)]
[(20,27),(23,25),(24,26),(28,35),(29,31),(30,32)]
[(20,29),(25,27),(26,35),(28,30)]
[(24,28),(25,29),(26,30),(27,31)]
[(15,27),(24,29),(26,31),(28,40)]
[(26,28),(27,29)]
[(26,27),(28,29)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 56 inputs, 292 CEs, 20 layers (cost=530):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,8),(1,2),(3,11),(5,6),(9,10),(12,20),(13,14),(15,23),(16,24),(17,18),(19,27),(21,22),(25,26),(28,36),(29,30),(31,39),(32,40),(33,34),(35,43),(37,38),(41,42),(44,52),(45,46),(47,55),(49,50),(53,54)]
[(1,9),(2,10),(4,8),(7,11),(12,16),(13,21),(14,22),(15,19),(17,25),(18,26),(20,24),(23,27),(28,32),(29,37),(30,38),(31,35),(33,41),(34,42),(36,40),(39,43),(44,48),(45,53),(46,54),(47,51)]
[(0,4),(3,7),(5,9),(6,10),(8,40),(11,43),(12,44),(13,17),(14,18),(15,47),(16,20),(19,23),(21,25),(22,26),(29,33),(30,34),(32,36),(35,39),(37,41),(38,42),(45,49),(46,50),(48,52),(51,55)]
[(0,32),(1,5),(2,6),(3,35),(4,36),(7,39),(8,24),(9,41),(10,42),(11,27),(13,45),(14,46),(16,48),(17,21),(18,22),(19,51),(20,52),(23,55),(28,44),(31,47),(33,37),(34,38),(49,53),(50,54)]
[(0,16),(1,33),(2,34),(3,19),(4,20),(5,37),(6,38),(7,23),(9,25),(10,26),(15,31),(17,49),(18,50),(21,53),(22,54),(24,40),(29,45),(30,46),(32,48),(35,51),(36,52),(39,55)]
[(1,17),(2,18),(5,21),(6,22),(12,15),(13,29),(14,30),(16,32),(19,35),(20,36),(23,39),(25,41),(26,42),(33,49),(34,50),(37,53),(38,54),(40,43)]
[(3,30),(5,44),(6,24),(8,14),(10,19),(11,50),(17,33),(18,34),(20,29),(21,37),(22,38),(25,52),(26,35),(31,49),(36,45),(41,47)]
[(2,29),(7,34),(9,18),(11,23),(15,33),(21,48),(22,40),(26,53),(32,44),(37,46)]
[(3,21),(6,15),(7,25),(9,36),(10,37),(11,26),(18,45),(19,46),(22,31),(23,28),(24,33),(27,32),(29,44),(30,48),(34,52),(40,49)]
[(4,21),(7,29),(10,22),(11,41),(14,44),(15,36),(19,40),(24,30),(25,31),(26,48),(33,45),(34,51)]
[(10,27),(14,17),(15,24),(18,30),(19,34),(21,36),(22,29),(25,37),(26,33),(28,45),(31,40),(38,41)]
[(11,26),(17,27),(18,21),(19,25),(28,38),(29,44),(30,36),(34,37)]
[(19,30),(21,24),(25,36),(26,28),(27,29),(31,34)]
[(11,29),(19,27),(26,44),(28,36)]
[(11,24),(22,27),(25,29),(26,30),(28,33),(31,44)]
[(24,26),(25,27),(28,30),(29,31)]
[(26,28),(27,29)]
[(26,27),(28,29)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 56 inputs, 314 CEs, 19 layers (cost=574):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,12),(1,2),(3,15),(4,44),(5,6),(7,47),(8,48),(9,10),(11,51),(13,14),(17,18),(20,24),(21,22),(23,27),(25,26),(28,32),(29,30),(31,35),(33,34),(37,38),(40,52),(41,42),(43,55),(45,46),(49,50),(53,54)]
[(0,36),(1,13),(2,14),(3,39),(5,45),(6,46),(8,20),(9,49),(10,50),(11,23),(12,24),(15,27),(16,52),(19,55),(21,25),(22,26),(28,40),(29,33),(30,34),(31,43),(32,44),(35,47),(41,53),(42,54)]
[(0,8),(1,37),(2,38),(3,11),(4,40),(7,43),(9,21),(10,22),(12,48),(13,25),(14,26),(15,51),(16,32),(17,53),(18,54),(19,35),(20,36),(23,39),(29,41),(30,42),(33,45),(34,46),(44,52),(47,55)]
[(1,9),(2,10),(4,12),(5,41),(6,42),(7,15),(8,28),(11,31),(13,49),(14,50),(16,20),(17,33),(18,34),(19,23),(21,37),(22,38),(24,44),(27,47),(32,36),(35,39),(40,48),(43,51),(45,53),(46,54)]
[(0,8),(3,11),(4,16),(5,13),(6,14),(7,19),(9,29),(10,30),(12,28),(15,31),(17,21),(18,22),(20,32),(23,35),(24,40),(25,45),(26,46),(27,43),(33,37),(34,38),(36,48),(39,51),(41,49),(42,50),(44,52),(47,55)]
[(1,9),(2,10),(3,7),(5,17),(6,18),(8,16),(11,19),(12,40),(13,29),(14,30),(15,43),(20,28),(21,33),(22,34),(23,31),(24,32),(25,41),(26,42),(27,35),(36,44),(37,49),(38,50),(39,47),(45,53),(46,54),(48,52)]
[(2,6),(7,11),(9,17),(10,18),(13,41),(14,42),(15,19),(20,24),(21,29),(22,30),(23,27),(25,33),(26,34),(28,32),(31,35),(36,40),(37,45),(38,46),(44,48),(49,53)]
[(2,48),(6,10),(7,53),(13,17),(14,18),(15,23),(19,27),(21,25),(22,26),(28,36),(29,33),(30,34),(32,40),(37,41),(38,42),(45,49)]
[(6,21),(11,15),(14,22),(17,25),(18,26),(19,23),(29,37),(30,38),(32,36),(33,41),(34,49),(40,44)]
[(3,33),(7,37),(10,40),(11,41),(12,23),(13,21),(14,44),(15,45),(17,36),(18,48),(19,38),(22,52),(32,43),(34,42)]
[(3,18),(7,21),(11,25),(14,16),(15,29),(19,33),(22,36),(26,40),(30,44),(34,48),(37,52),(39,41)]
[(11,26),(15,30),(16,22),(18,32),(19,34),(21,36),(23,37),(25,40),(29,44),(33,39)]
[(15,21),(19,25),(22,24),(23,29),(26,32),(30,36),(31,33),(34,40)]
[(19,26),(23,30),(24,28),(25,32),(27,31),(29,36)]
[(21,23),(25,29),(26,30),(32,34)]
[(23,25),(26,28),(27,29),(30,32)]
[(25,28),(27,30)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 57 inputs, 289 CEs, 26 layers (cost=522):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,32),(17,21),(18,22),(19,35),(20,36),(23,39),(25,29),(26,30),(33,37),(34,38),(40,48),(41,45),(42,46),(43,51),(44,52),(47,55),(49,53),(50,54)]
[(0,40),(1,9),(2,10),(3,43),(4,8),(5,13),(6,14),(7,11),(12,52),(15,55),(17,33),(18,34),(20,32),(21,37),(22,38),(23,35),(41,49),(42,50),(44,48),(45,53),(46,54),(47,51)]
[(1,41),(2,42),(3,18),(4,44),(5,9),(6,10),(7,47),(8,48),(11,51),(13,53),(14,54),(21,33),(22,34),(37,52),(45,49),(46,50)]
[(5,45),(6,46),(9,49),(10,50),(11,23),(12,18),(13,29),(26,42),(32,44),(37,43)]
[(2,32),(5,17),(6,41),(9,25),(10,19),(14,49),(18,28),(23,53),(27,37),(30,46),(36,45),(38,50)]
[(3,9),(6,20),(10,44),(11,45),(14,33),(17,27),(18,26),(19,31),(21,25),(22,41),(24,36),(28,38),(29,37),(30,34),(35,49),(46,52)]
[(8,24),(9,12),(10,18),(11,42),(13,44),(15,34),(20,30),(21,40),(25,35),(31,47),(37,45),(43,46)]
[(7,25),(11,26),(12,36),(13,27),(16,24),(18,22),(19,43),(28,42),(29,44),(30,48),(31,39),(33,37)]
[(7,28),(9,11),(12,20),(17,18),(19,29),(22,24),(26,36),(27,48),(31,33),(35,43),(37,38),(44,46)]
[(1,20),(4,11),(19,28),(22,32),(23,33),(25,29),(26,30),(27,36),(35,54),(44,51)]
[(7,27),(11,40),(15,44),(18,26),(19,32),(23,36),(24,30),(25,31),(28,48),(29,37)]
[(7,13),(14,32),(15,35),(19,26),(20,40),(23,41),(24,25),(29,36),(30,31),(42,48)]
[(13,24),(14,20),(15,29),(23,28),(26,40),(27,32),(31,42),(35,41)]
[(11,27),(15,31),(20,26),(24,40),(28,44),(29,35)]
[(15,23),(24,26),(29,31),(32,40)]
[(23,28),(25,26),(27,32),(29,30)]
[(23,29),(25,27),(26,32),(28,30)]
[(15,26),(23,27),(28,32),(29,40)]
[(26,28),(27,29)]
[(26,27),(28,29)]
[(27,28)]
[(28,56)]
[(27,28)]

Constructed from N-1 case
Auto generated
Median selection network for 57 inputs, 291 CEs, 25 layers (cost=526):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,32),(17,21),(18,22),(19,35),(20,36),(23,39),(25,29),(26,30),(33,37),(34,38),(40,48),(41,45),(42,46),(43,51),(44,52),(47,55),(49,53),(50,54)]
[(0,40),(1,9),(2,10),(3,43),(4,8),(5,13),(6,14),(7,11),(12,52),(15,55),(17,33),(18,34),(19,26),(20,32),(21,37),(22,38),(23,35),(29,36),(41,49),(42,50),(44,48),(45,53),(46,54),(47,51)]
[(1,41),(2,42),(3,27),(4,44),(5,9),(6,10),(7,47),(8,48),(11,51),(13,53),(14,54),(21,33),(22,34),(28,52),(45,49),(46,50)]
[(2,20),(3,18),(5,45),(6,46),(7,33),(8,16),(9,49),(10,50),(13,32),(22,48),(23,42),(35,53),(37,52),(39,47)]
[(2,49),(3,5),(6,53),(7,41),(9,25),(10,26),(12,18),(13,28),(14,48),(27,42),(29,45),(30,46),(37,43),(50,52)]
[(6,19),(9,17),(12,20),(14,37),(18,41),(21,25),(23,28),(27,32),(30,34),(35,43),(36,49),(38,46)]
[(6,13),(11,38),(12,29),(15,34),(16,30),(17,44),(19,28),(20,24),(21,40),(25,39),(26,43),(27,36),(31,35),(42,49)]
[(4,16),(5,20),(10,44),(11,45),(13,17),(18,19),(22,24),(25,28),(27,30),(31,33),(35,50),(36,37),(38,42),(39,51)]
[(10,23),(11,24),(14,19),(15,28),(16,17),(18,22),(20,29),(26,35),(27,40),(31,44),(32,45),(33,37),(36,41),(38,39)]
[(7,17),(10,27),(14,29),(19,30),(22,23),(25,36),(26,41),(28,45),(32,33),(38,48)]
[(1,14),(11,25),(17,27),(19,23),(20,22),(28,38),(30,44),(32,36),(33,35),(41,54)]
[(11,19),(14,27),(15,30),(25,40),(28,41),(36,44)]
[(15,26),(19,31),(22,25),(23,27),(24,36),(28,32),(29,40),(30,33)]
[(15,28),(23,25),(24,26),(27,40),(29,31),(30,32)]
[(19,29),(25,27),(26,36),(28,30)]
[(15,29),(24,27),(26,40),(28,31)]
[(24,28),(25,29),(26,30),(27,31)]
[(26,27),(28,29)]
[(26,28),(27,29)]
[(27,28)]
[(28,56)]
[(27,28)]

Constructed from N-1 case
Auto generated
Median selection network for 57 inputs, 293 CEs, 23 layers (cost=530):

[(1,2),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53)]
[(0,7),(1,2),(3,11),(4,8),(5,6),(9,10),(12,20),(13,14),(15,23),(16,24),(17,18),(19,27),(21,22),(25,26),(28,36),(29,30),(31,39),(32,40),(33,34),(35,43),(37,38),(41,42),(44,52),(45,46),(47,51),(48,55),(49,50),(53,54)]
[(0,3),(1,9),(2,10),(7,11),(12,16),(13,21),(14,22),(15,19),(17,25),(18,26),(20,24),(23,27),(28,32),(29,37),(30,38),(31,35),(33,41),(34,42),(36,40),(39,43),(44,48),(45,53),(46,54),(52,55)]
[(0,31),(3,7),(5,9),(6,10),(8,40),(11,43),(12,44),(13,17),(14,18),(15,47),(16,20),(19,23),(21,25),(22,26),(24,55),(29,33),(30,34),(32,36),(35,39),(37,41),(38,42),(45,49),(46,50),(48,52)]
[(0,15),(1,5),(2,6),(3,35),(4,36),(7,39),(8,24),(9,41),(10,42),(11,27),(13,45),(14,46),(16,48),(17,21),(18,22),(19,51),(20,52),(28,44),(31,47),(33,37),(34,38),(40,55),(49,53),(50,54)]
[(1,33),(2,34),(3,19),(4,20),(5,37),(6,38),(7,23),(9,25),(10,26),(15,31),(17,49),(18,50),(21,53),(22,54),(24,40),(29,45),(30,46),(32,48),(35,51),(36,52)]
[(0,32),(1,17),(2,18),(5,21),(6,22),(12,15),(13,29),(14,30),(19,35),(20,36),(23,55),(25,41),(26,42),(33,49),(34,50),(37,53),(38,54),(40,43)]
[(3,30),(5,44),(6,24),(8,14),(10,19),(11,50),(16,32),(17,33),(18,34),(20,29),(21,37),(22,38),(23,39),(25,52),(26,35),(31,49),(36,45),(41,47)]
[(2,29),(7,34),(9,18),(11,23),(15,33),(21,48),(22,40),(26,53),(32,44),(37,46)]
[(3,21),(6,15),(7,25),(9,36),(10,37),(11,26),(18,45),(19,46),(22,31),(23,28),(24,33),(27,32),(29,44),(30,48),(34,52),(40,49)]
[(4,21),(7,29),(10,22),(11,41),(14,44),(15,36),(19,40),(24,30),(25,31),(26,48),(33,45),(34,51)]
[(10,27),(14,17),(15,24),(18,30),(19,34),(21,36),(22,29),(25,37),(26,33),(28,45),(31,40),(38,41)]
[(11,26),(17,27),(18,21),(19,25),(28,38),(29,44),(30,36),(34,37)]
[(19,30),(21,24),(25,36),(26,28),(27,29),(31,34)]
[(11,29),(19,27),(26,44),(28,36)]
[(11,24),(22,27),(25,29),(26,30),(28,33),(31,44)]
[(24,26),(25,27),(28,30),(29,31)]
[(26,28),(27,29)]
[(26,27),(28,29)]
[(27,28)]
[(28,56)]
[(27,28)]

Constructed from N+2 case
Auto generated
Median selection network for 57 inputs, 297 CEs, 21 layers (cost=538):

[(2,3),(4,10),(5,7),(6,8),(9,11),(12,42),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55)]
[(1,2),(4,9),(5,6),(7,8),(10,11),(12,41),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55)]
[(0,8),(1,4),(2,3),(6,7),(9,10),(12,33),(13,21),(14,15),(16,24),(17,25),(18,19),(20,28),(22,23),(26,27),(29,37),(30,31),(32,40),(34,35),(36,43),(38,39),(41,42),(44,52),(45,46),(47,55),(48,56),(49,50),(53,54)]
[(0,11),(2,9),(3,10),(4,5),(12,29),(13,17),(14,22),(15,23),(16,20),(18,26),(19,27),(21,25),(24,28),(30,38),(31,39),(32,36),(33,37),(34,41),(35,42),(40,43),(44,48),(45,53),(46,54),(47,51),(52,56)]
[(0,32),(1,4),(5,37),(6,9),(7,10),(8,11),(13,44),(14,18),(15,19),(16,47),(17,21),(20,24),(22,26),(23,27),(25,56),(28,43),(29,33),(30,34),(31,35),(36,40),(38,41),(39,42),(45,49),(46,50),(48,52),(51,55)]
[(0,16),(1,29),(2,6),(3,7),(4,33),(5,25),(8,36),(9,41),(10,42),(11,40),(12,44),(14,45),(15,46),(17,48),(18,22),(19,23),(20,51),(21,52),(24,55),(32,47),(34,38),(35,39),(37,56),(49,53),(50,54)]
[(1,17),(2,34),(3,35),(4,21),(6,38),(7,39),(8,20),(9,26),(10,27),(11,24),(16,32),(18,49),(19,50),(22,53),(23,54),(25,37),(29,48),(30,45),(31,46),(33,52),(36,51),(40,55)]
[(0,29),(2,18),(3,19),(6,22),(7,23),(13,16),(14,30),(15,31),(20,36),(21,33),(24,56),(26,41),(27,42),(34,49),(35,50),(38,53),(39,54)]
[(5,15),(6,44),(7,25),(8,31),(10,20),(17,29),(18,34),(19,35),(21,30),(22,38),(23,39),(24,40),(26,52),(27,36),(28,50),(32,49),(33,45),(41,47)]
[(3,30),(9,19),(11,35),(16,34),(22,48),(23,37),(24,28),(27,53),(29,44),(38,46)]
[(7,16),(8,22),(9,33),(10,38),(11,26),(12,28),(19,45),(20,46),(23,32),(24,27),(25,34),(29,43),(30,44),(31,48),(35,52),(37,49)]
[(4,22),(10,23),(11,30),(15,44),(16,33),(20,37),(24,41),(25,31),(26,32),(27,48),(34,45),(35,51)]
[(10,29),(15,18),(16,25),(19,31),(20,35),(22,33),(23,30),(26,38),(27,34),(28,45),(32,37),(39,41)]
[(18,29),(19,22),(20,26),(24,27),(28,39),(30,44),(31,33),(35,38)]
[(20,31),(22,25),(26,33),(27,28),(29,30),(32,35)]
[(20,29),(24,30),(27,44),(28,33)]
[(23,29),(24,25),(26,30),(27,31),(28,34),(32,44)]
[(25,27),(26,29),(28,31),(30,32)]
[(27,28),(29,30)]
[(27,29),(28,30)]
[(28,29)]

Constructed from N+1 case
Auto generated
Median selection network for 57 inputs, 321 CEs, 20 layers (cost=586):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(0,4),(2,3),(5,9),(6,7),(8,12),(10,11),(13,17),(14,15),(16,20),(18,19),(21,25),(22,23),(24,28),(26,27),(29,33),(30,31),(32,36),(34,35),(37,41),(38,39),(40,44),(42,43),(45,49),(46,47),(48,52),(50,51),(54,55)]
[(0,8),(1,9),(4,12),(6,10),(7,11),(13,21),(14,18),(15,19),(16,24),(17,25),(20,28),(22,26),(23,27),(29,37),(30,34),(31,35),(32,40),(33,41),(36,44),(38,42),(39,43),(45,53),(46,50),(47,51),(48,56)]
[(0,16),(1,17),(2,10),(3,11),(4,20),(5,21),(8,24),(9,25),(12,28),(14,22),(15,23),(18,26),(19,27),(29,45),(30,38),(31,39),(32,48),(33,49),(34,42),(35,43),(36,52),(37,53),(40,56),(46,54),(47,55)]
[(0,32),(1,45),(2,18),(3,19),(4,48),(5,37),(6,22),(7,23),(8,40),(9,53),(10,26),(11,27),(12,56),(13,33),(16,36),(17,49),(20,52),(21,41),(24,44),(30,46),(31,47),(34,50),(35,51),(38,54),(39,55)]
[(2,46),(3,47),(4,32),(5,13),(6,38),(7,39),(8,16),(9,17),(10,54),(11,55),(12,20),(14,34),(15,35),(18,50),(19,51),(21,33),(22,42),(23,43),(24,36),(25,53),(37,45),(40,48),(41,49),(44,52)]
[(2,30),(3,31),(4,8),(6,14),(7,15),(9,33),(10,18),(11,19),(12,36),(13,29),(16,32),(17,37),(20,40),(21,45),(22,34),(23,35),(24,48),(25,41),(26,54),(27,55),(28,44),(38,46),(39,47),(42,50),(43,51),(49,53)]
[(1,7),(8,16),(9,29),(10,34),(11,35),(12,32),(14,30),(15,31),(17,21),(18,38),(19,39),(20,24),(22,46),(23,47),(25,45),(26,42),(27,43),(28,48),(33,37),(36,40),(41,49),(50,56)]
[(3,7),(10,30),(11,23),(12,20),(18,22),(19,31),(21,29),(24,32),(25,33),(26,38),(27,47),(28,36),(34,46),(35,39),(37,45),(50,54)]
[(4,34),(7,15),(10,18),(11,19),(12,16),(20,24),(22,30),(23,53),(27,35),(33,37),(38,46),(39,47),(41,45),(42,50)]
[(0,30),(3,33),(7,37),(8,38),(11,41),(12,42),(15,45),(16,46),(19,49),(20,50),(23,31),(24,54),(26,34)]
[(0,29),(4,19),(8,22),(12,26),(16,30),(18,33),(20,34),(23,37),(24,39),(27,41),(28,42),(31,45),(35,49),(38,53)]
[(12,27),(15,29),(16,22),(19,33),(20,26),(24,38),(28,34),(30,45),(31,37),(35,41)]
[(16,31),(20,35),(22,37),(23,29),(24,30),(26,41),(27,33),(28,32)]
[(20,27),(24,31),(25,29),(26,33),(28,35),(30,37)]
[(22,29),(26,30),(27,31)]
[(24,26),(27,29),(28,30),(31,33)]
[(26,29),(28,31)]
[(28,29)]

Constructed from N+2 case
Auto generated
Median selection network for 58 inputs, 301 CEs, 23 layers (cost=546):

[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(0,8),(1,9),(2,3),(4,12),(6,7),(10,11),(13,21),(14,15),(16,24),(17,25),(18,19),(20,28),(22,23),(26,27),(29,37),(30,31),(32,40),(33,41),(34,35),(36,44),(38,39),(42,43),(45,53),(46,47),(48,56),(49,57),(50,51),(54,55)]
[(0,4),(2,10),(3,11),(5,9),(8,12),(13,17),(14,22),(15,23),(16,20),(18,26),(19,27),(21,25),(24,28),(29,33),(30,38),(31,39),(32,36),(34,42),(35,43),(37,41),(40,44),(45,49),(46,54),(47,55),(48,52),(53,57)]
[(0,32),(1,5),(4,8),(6,10),(7,11),(9,41),(12,44),(13,45),(14,18),(15,19),(16,48),(17,21),(20,24),(22,26),(23,27),(25,57),(30,34),(31,35),(33,37),(36,40),(38,42),(39,43),(46,50),(47,51),(49,53),(52,56)]
[(0,16),(1,33),(2,6),(3,7),(4,36),(5,37),(8,40),(9,25),(10,42),(11,43),(12,28),(14,46),(15,47),(17,49),(18,22),(19,23),(20,52),(21,53),(24,56),(29,45),(32,48),(34,38),(35,39),(41,57),(50,54),(51,55)]
[(1,17),(2,34),(3,35),(4,20),(5,21),(6,38),(7,39),(8,24),(10,26),(11,27),(13,29),(16,32),(18,50),(19,51),(22,54),(23,55),(25,41),(28,44),(30,46),(31,47),(33,49),(36,52),(37,53),(40,56)]
[(2,18),(3,19),(5,31),(6,22),(7,23),(9,30),(17,33),(20,36),(21,37),(24,40),(26,52),(27,48),(34,50),(35,51),(38,54),(39,55)]
[(0,21),(3,45),(6,33),(7,16),(11,20),(12,54),(15,31),(18,34),(19,35),(22,38),(23,39),(24,51),(26,42),(36,57),(37,46),(41,50)]
[(4,22),(8,26),(10,19),(12,36),(15,33),(21,45),(23,32),(24,42),(25,34),(31,49),(35,53),(38,47)]
[(4,31),(7,25),(8,35),(10,37),(11,38),(16,34),(19,46),(20,47),(21,30),(22,49),(23,41),(26,53),(27,36),(32,50)]
[(8,45),(11,23),(12,49),(14,30),(16,37),(19,25),(20,41),(27,43),(32,38),(34,46)]
[(8,33),(20,35),(22,37),(23,30),(24,49),(25,31),(26,32),(27,34)]
[(12,27),(19,22),(20,26),(23,33),(24,34),(30,45),(31,37),(35,38)]
[(12,45),(16,22),(18,30),(24,29),(27,39),(28,33),(35,41)]
[(22,25),(27,29),(28,30),(32,35)]
[(11,28),(12,30),(27,45),(29,46)]
[(12,20),(37,45)]
[(20,31),(26,37)]
[(20,28),(26,30),(27,31),(29,37)]
[(25,27),(26,28),(29,31),(30,32)]
[(27,28),(29,30)]
[(27,29),(28,30)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 58 inputs, 302 CEs, 20 layers (cost=548):

[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(0,8),(1,9),(2,3),(4,12),(6,7),(10,11),(13,21),(14,15),(16,24),(17,25),(18,19),(20,28),(22,23),(26,27),(29,37),(30,31),(32,40),(33,41),(34,35),(36,44),(38,39),(42,43),(45,53),(46,47),(48,56),(49,57),(50,51),(54,55)]
[(0,4),(2,10),(3,11),(5,9),(8,12),(13,17),(14,22),(15,23),(16,20),(18,26),(19,27),(21,25),(24,28),(29,33),(30,38),(31,39),(32,36),(34,42),(35,43),(37,41),(40,44),(45,49),(46,54),(47,55),(48,52),(53,57)]
[(0,32),(1,5),(4,8),(6,10),(7,11),(9,41),(12,44),(13,45),(14,18),(15,19),(16,48),(17,21),(20,24),(22,26),(23,27),(25,57),(30,34),(31,35),(33,37),(36,40),(38,42),(39,43),(46,50),(47,51),(49,53),(52,56)]
[(0,16),(1,33),(2,6),(3,7),(4,36),(5,37),(8,40),(9,25),(10,42),(11,43),(12,28),(14,46),(15,47),(17,49),(18,22),(19,23),(20,52),(21,53),(24,56),(29,45),(32,48),(34,38),(35,39),(41,57),(50,54),(51,55)]
[(1,17),(2,34),(3,35),(4,20),(5,21),(6,38),(7,39),(8,24),(10,26),(11,27),(16,32),(18,50),(19,51),(22,54),(23,55),(25,41),(30,46),(31,47),(33,49),(36,52),(37,53),(40,56)]
[(0,33),(2,18),(3,19),(6,22),(7,23),(13,16),(14,30),(15,31),(20,36),(21,37),(24,57),(26,42),(27,43),(34,50),(35,51),(38,54),(39,55),(41,44)]
[(4,31),(6,45),(7,25),(9,15),(11,20),(12,51),(17,33),(18,34),(19,35),(21,30),(22,38),(23,39),(24,40),(26,53),(27,36),(32,50),(37,46),(42,48)]
[(3,30),(8,35),(10,19),(12,24),(16,34),(22,49),(23,41),(27,54),(33,45),(38,47)]
[(4,22),(7,16),(8,26),(10,37),(11,38),(12,27),(19,46),(20,47),(23,32),(24,29),(25,34),(28,33),(30,45),(31,49),(35,53),(41,50)]
[(5,22),(8,30),(11,23),(12,42),(15,45),(16,37),(20,41),(25,31),(26,32),(27,49),(34,46),(35,52)]
[(11,28),(15,18),(16,25),(19,31),(20,35),(22,37),(23,30),(26,38),(27,34),(29,46),(32,41),(39,42)]
[(12,27),(18,28),(19,22),(20,26),(29,39),(30,45),(31,37),(35,38)]
[(20,31),(22,25),(26,37),(27,29),(28,30),(32,35)]
[(12,30),(20,28),(27,45),(29,37)]
[(12,25),(23,28),(26,30),(27,31),(29,34),(32,45)]
[(25,27),(26,28),(29,31),(30,32)]
[(27,29),(28,30)]
[(27,28),(29,30)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 58 inputs, 326 CEs, 19 layers (cost=596):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(0,4),(2,3),(5,9),(6,7),(8,12),(10,11),(13,17),(14,15),(16,20),(18,19),(21,25),(22,23),(24,28),(26,27),(29,33),(30,31),(32,36),(34,35),(37,41),(38,39),(40,44),(42,43),(45,49),(46,47),(48,52),(50,51),(53,57),(54,55)]
[(0,8),(1,9),(4,12),(6,10),(7,11),(13,21),(14,18),(15,19),(16,24),(17,25),(20,28),(22,26),(23,27),(29,37),(30,34),(31,35),(32,40),(33,41),(36,44),(38,42),(39,43),(45,53),(46,50),(47,51),(48,56),(49,57)]
[(0,16),(1,17),(2,10),(3,11),(4,20),(5,21),(8,24),(9,25),(12,28),(14,22),(15,23),(18,26),(19,27),(29,45),(30,38),(31,39),(32,48),(33,49),(34,42),(35,43),(36,52),(37,53),(40,56),(41,57),(46,54),(47,55)]
[(0,32),(1,45),(2,18),(3,19),(4,48),(5,37),(6,22),(7,23),(8,40),(9,53),(10,26),(11,27),(12,56),(13,33),(16,36),(17,49),(20,52),(21,41),(24,44),(25,57),(30,46),(31,47),(34,50),(35,51),(38,54),(39,55)]
[(2,46),(3,47),(4,32),(5,13),(6,38),(7,39),(8,16),(9,17),(10,54),(11,55),(12,20),(14,34),(15,35),(18,50),(19,51),(21,33),(22,42),(23,43),(24,36),(25,53),(37,45),(40,48),(41,49),(44,52)]
[(2,30),(3,31),(4,8),(6,14),(7,15),(9,33),(10,18),(11,19),(12,36),(13,29),(16,32),(17,37),(20,40),(21,45),(22,34),(23,35),(24,48),(25,41),(26,54),(27,55),(28,44),(38,46),(39,47),(42,50),(43,51),(49,53)]
[(1,7),(8,16),(9,29),(10,34),(11,35),(12,32),(14,30),(15,31),(17,21),(18,38),(19,39),(20,24),(22,46),(23,47),(25,45),(26,42),(27,43),(28,48),(33,37),(36,40),(41,49),(50,56)]
[(3,7),(10,30),(11,23),(12,20),(18,22),(19,31),(21,29),(24,32),(25,33),(26,38),(27,47),(28,36),(34,46),(35,39),(37,45),(50,54)]
[(4,34),(7,15),(10,18),(11,19),(12,16),(20,24),(22,30),(23,53),(27,35),(33,37),(38,46),(39,47),(41,45),(42,50)]
[(0,30),(3,33),(7,37),(8,38),(11,41),(12,42),(15,45),(16,46),(19,49),(20,50),(23,31),(24,54),(26,34),(27,57)]
[(0,29),(4,19),(8,22),(12,26),(16,30),(18,33),(20,34),(23,37),(24,39),(27,41),(28,57),(31,45),(35,49),(38,53)]
[(12,27),(15,29),(16,22),(19,33),(20,26),(24,38),(28,42),(30,45),(31,37),(35,41)]
[(16,31),(20,35),(22,37),(23,29),(24,30),(26,41),(27,33),(28,34)]
[(20,27),(24,31),(25,29),(26,33),(28,32),(30,37)]
[(22,29),(26,30),(27,31),(28,35)]
[(24,26),(27,29),(28,30),(31,33)]
[(26,29),(28,31)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 59 inputs, 304 CEs, 26 layers (cost=550):

[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(0,8),(1,9),(2,3),(4,12),(6,7),(10,11),(13,21),(14,15),(16,24),(17,25),(18,19),(20,28),(22,23),(26,27),(29,37),(30,31),(32,40),(33,41),(34,35),(36,44),(38,39),(42,43),(45,53),(46,47),(48,56),(49,57),(50,51),(54,55)]
[(0,4),(2,10),(3,11),(5,9),(8,12),(13,17),(14,22),(15,23),(16,20),(18,26),(19,27),(21,25),(24,28),(29,33),(30,38),(31,39),(32,36),(34,42),(35,43),(37,41),(40,44),(45,49),(46,54),(47,55),(48,52),(53,57)]
[(0,32),(1,5),(4,8),(6,10),(7,11),(9,41),(12,44),(13,45),(14,18),(15,19),(16,48),(17,21),(20,24),(22,26),(23,27),(25,57),(30,34),(31,35),(33,37),(36,40),(38,42),(39,43),(46,50),(47,51),(49,53),(52,56)]
[(0,16),(1,33),(2,6),(3,7),(4,36),(5,37),(8,40),(9,25),(10,42),(11,43),(12,28),(14,46),(15,47),(17,49),(18,22),(19,23),(20,52),(21,53),(24,56),(29,45),(32,48),(34,38),(35,39),(41,57),(50,54),(51,55)]
[(1,17),(2,34),(3,35),(4,20),(5,21),(6,38),(7,39),(8,24),(10,26),(11,27),(13,29),(16,32),(18,50),(19,51),(22,54),(23,55),(25,41),(28,44),(30,46),(31,47),(33,49),(36,52),(37,53),(40,56)]
[(2,18),(3,19),(5,31),(6,22),(7,23),(9,30),(17,33),(20,36),(21,37),(24,40),(26,52),(27,48),(34,50),(35,51),(38,54),(39,55)]
[(0,21),(3,45),(6,33),(7,16),(11,20),(12,54),(15,31),(18,34),(19,35),(22,38),(23,39),(24,51),(26,42),(36,57),(37,46),(41,50)]
[(4,22),(8,26),(10,19),(12,36),(15,33),(21,45),(23,32),(24,42),(25,34),(31,49),(35,53),(38,47)]
[(4,31),(7,25),(8,35),(10,37),(11,38),(16,34),(19,46),(20,47),(21,30),(22,49),(23,41),(26,53),(27,36),(32,50)]
[(8,45),(11,23),(12,49),(14,30),(16,37),(19,25),(20,41),(27,43),(32,38),(34,46)]
[(8,33),(20,35),(22,37),(23,30),(24,49),(25,31),(26,32),(27,34)]
[(12,27),(19,22),(20,26),(23,33),(24,34),(30,45),(31,37),(35,38)]
[(12,45),(16,22),(18,30),(24,29),(27,39),(28,33),(35,41)]
[(22,25),(27,29),(28,30),(32,35)]
[(11,28),(12,30),(27,45),(29,46)]
[(12,20),(37,45)]
[(20,31),(26,37)]
[(20,28),(26,30),(27,31),(29,37)]
[(25,27),(26,28),(29,31),(30,32)]
[(27,28),(29,30)]
[(27,29),(28,30)]
[(28,29)]
[(29,58)]
[(28,29)]

Constructed from N-1 case
Auto generated
Median selection network for 59 inputs, 305 CEs, 23 layers (cost=552):

[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12),(13,15),(14,16),(17,19),(18,20),(21,23),(22,24),(25,27),(26,28),(29,31),(30,32),(33,35),(34,36),(37,39),(38,40),(41,43),(42,44),(45,47),(46,48),(49,51),(50,52),(53,55),(54,56)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56)]
[(0,8),(1,9),(2,3),(4,12),(6,7),(10,11),(13,21),(14,15),(16,24),(17,25),(18,19),(20,28),(22,23),(26,27),(29,37),(30,31),(32,40),(33,41),(34,35),(36,44),(38,39),(42,43),(45,53),(46,47),(48,56),(49,57),(50,51),(54,55)]
[(0,4),(2,10),(3,11),(5,9),(8,12),(13,17),(14,22),(15,23),(16,20),(18,26),(19,27),(21,25),(24,28),(29,33),(30,38),(31,39),(32,36),(34,42),(35,43),(37,41),(40,44),(45,49),(46,54),(47,55),(48,52),(53,57)]
[(0,32),(1,5),(4,8),(6,10),(7,11),(9,41),(12,44),(13,45),(14,18),(15,19),(16,48),(17,21),(20,24),(22,26),(23,27),(25,57),(30,34),(31,35),(33,37),(36,40),(38,42),(39,43),(46,50),(47,51),(49,53),(52,56)]
[(0,16),(1,33),(2,6),(3,7),(4,36),(5,37),(8,40),(9,25),(10,42),(11,43),(12,28),(14,46),(15,47),(17,49),(18,22),(19,23),(20,52),(21,53),(24,56),(29,45),(32,48),(34,38),(35,39),(41,57),(50,54),(51,55)]
[(1,17),(2,34),(3,35),(4,20),(5,21),(6,38),(7,39),(8,24),(10,26),(11,27),(16,32),(18,50),(19,51),(22,54),(23,55),(25,41),(30,46),(31,47),(33,49),(36,52),(37,53),(40,56)]
[(0,33),(2,18),(3,19),(6,22),(7,23),(13,16),(14,30),(15,31),(20,36),(21,37),(24,57),(26,42),(27,43),(34,50),(35,51),(38,54),(39,55),(41,44)]
[(4,31),(6,45),(7,25),(9,15),(11,20),(12,51),(17,33),(18,34),(19,35),(21,30),(22,38),(23,39),(24,40),(26,53),(27,36),(32,50),(37,46),(42,48)]
[(3,30),(8,35),(10,19),(12,24),(16,34),(22,49),(23,41),(27,54),(33,45),(38,47)]
[(4,22),(7,16),(8,26),(10,37),(11,38),(12,27),(19,46),(20,47),(23,32),(24,29),(25,34),(28,33),(30,45),(31,49),(35,53),(41,50)]
[(5,22),(8,30),(11,23),(12,42),(15,45),(16,37),(20,41),(25,31),(26,32),(27,49),(34,46),(35,52)]
[(11,28),(15,18),(16,25),(19,31),(20,35),(22,37),(23,30),(26,38),(27,34),(29,46),(32,41),(39,42)]
[(12,27),(18,28),(19,22),(20,26),(29,39),(30,45),(31,37),(35,38)]
[(20,31),(22,25),(26,37),(27,29),(28,30),(32,35)]
[(12,30),(20,28),(27,45),(29,37)]
[(12,25),(23,28),(26,30),(27,31),(29,34),(32,45)]
[(25,27),(26,28),(29,31),(30,32)]
[(27,29),(28,30)]
[(27,28),(29,30)]
[(28,29)]
[(29,58)]
[(28,29)]

Constructed from N-1 case
Auto generated
Median selection network for 59 inputs, 309 CEs, 21 layers (cost=560):

[(0,1),(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(1,9),(2,10),(3,4),(5,13),(7,8),(11,12),(14,22),(15,16),(17,25),(18,26),(19,20),(21,29),(23,24),(27,28),(30,38),(31,32),(33,41),(34,42),(35,36),(37,45),(39,40),(43,44),(46,54),(47,48),(49,57),(50,58),(51,52),(55,56)]
[(0,8),(1,5),(3,11),(4,12),(6,10),(9,13),(14,18),(15,23),(16,24),(17,21),(19,27),(20,28),(22,26),(25,29),(30,34),(31,39),(32,40),(33,37),(35,43),(36,44),(38,42),(41,45),(46,50),(47,55),(48,56),(49,53),(54,58)]
[(0,4),(1,33),(2,6),(5,9),(7,11),(8,12),(10,42),(13,45),(14,46),(15,19),(16,20),(17,49),(18,22),(21,25),(23,27),(24,28),(26,58),(31,35),(32,36),(34,38),(37,41),(39,43),(40,44),(47,51),(48,52),(50,54),(53,57)]
[(0,32),(1,17),(2,34),(3,7),(4,8),(5,37),(6,38),(9,41),(10,26),(11,43),(12,44),(13,29),(15,47),(16,48),(18,50),(19,23),(20,24),(21,53),(22,54),(25,57),(30,46),(33,49),(35,39),(36,40),(42,58),(51,55),(52,56)]
[(0,16),(2,18),(3,35),(4,36),(5,21),(6,22),(7,39),(8,40),(9,25),(11,27),(12,28),(17,33),(19,51),(20,52),(23,55),(24,56),(26,42),(31,47),(32,48),(34,50),(37,53),(38,54),(41,57)]
[(1,34),(3,19),(4,20),(7,23),(8,24),(14,17),(15,31),(16,32),(21,37),(22,38),(25,58),(27,43),(28,44),(35,51),(36,52),(39,55),(40,56),(42,45)]
[(0,55),(5,32),(7,46),(8,26),(10,16),(12,21),(13,52),(18,34),(19,35),(20,36),(22,31),(23,39),(24,40),(25,41),(27,54),(28,37),(33,51),(38,47),(43,49)]
[(4,31),(9,36),(11,20),(13,25),(17,35),(23,50),(24,42),(28,55),(34,46),(39,48)]
[(5,23),(8,17),(9,27),(11,38),(12,39),(13,28),(20,47),(21,48),(24,33),(25,30),(26,35),(29,34),(31,46),(32,50),(36,54),(42,51)]
[(6,23),(9,31),(12,24),(13,43),(16,46),(17,38),(21,42),(26,32),(27,33),(28,50),(35,47),(36,53)]
[(12,29),(16,19),(17,26),(20,32),(21,36),(23,38),(24,31),(27,39),(28,35),(30,47),(33,42),(40,43)]
[(13,28),(19,29),(20,23),(21,27),(30,40),(31,46),(32,38),(36,39)]
[(21,32),(23,26),(27,38),(28,30),(29,31),(33,36)]
[(13,31),(21,29),(28,46),(30,38)]
[(13,26),(24,29),(27,31),(28,32),(30,35),(33,46)]
[(26,28),(27,29),(30,32),(31,33)]
[(28,30),(29,31)]
[(28,29),(30,31)]
[(29,30)]

Constructed from N+2 case
Auto generated
Median selection network for 59 inputs, 333 CEs, 20 layers (cost=608):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57)]
[(1,5),(3,4),(6,10),(7,8),(9,13),(11,12),(14,18),(15,16),(17,21),(19,20),(22,26),(23,24),(25,29),(27,28),(30,34),(31,32),(33,37),(35,36),(38,42),(39,40),(41,45),(43,44),(46,50),(47,48),(49,53),(51,52),(54,58),(55,56)]
[(0,4),(1,9),(2,10),(5,13),(7,11),(8,12),(14,22),(15,19),(16,20),(17,25),(18,26),(21,29),(23,27),(24,28),(30,38),(31,35),(32,36),(33,41),(34,42),(37,45),(39,43),(40,44),(46,54),(47,51),(48,52),(49,57),(50,58)]
[(0,8),(1,17),(2,18),(3,11),(4,12),(5,21),(6,22),(9,25),(10,26),(13,29),(15,23),(16,24),(19,27),(20,28),(30,46),(31,39),(32,40),(33,49),(34,50),(35,43),(36,44),(37,53),(38,54),(41,57),(42,58),(47,55),(48,56)]
[(0,16),(1,33),(2,46),(3,19),(4,20),(5,49),(6,38),(7,23),(8,24),(9,41),(10,54),(11,27),(12,28),(13,57),(14,34),(17,37),(18,50),(21,53),(22,42),(25,45),(26,58),(31,47),(32,48),(35,51),(36,52),(39,55),(40,56)]
[(0,32),(3,47),(4,48),(5,33),(6,14),(7,39),(8,40),(9,17),(10,18),(11,55),(12,56),(13,21),(15,35),(16,36),(19,51),(20,52),(22,34),(23,43),(24,44),(25,37),(26,54),(38,46),(41,49),(42,50),(45,53)]
[(3,31),(4,32),(5,9),(7,15),(8,16),(10,34),(11,19),(12,20),(13,37),(14,30),(17,33),(18,38),(21,41),(22,46),(23,35),(24,36),(25,49),(26,42),(27,55),(28,56),(29,45),(39,47),(40,48),(43,51),(44,52),(50,54)]
[(2,8),(9,17),(10,30),(11,35),(12,36),(13,33),(15,31),(16,32),(18,22),(19,39),(20,40),(21,25),(23,47),(24,48),(26,46),(27,43),(28,44),(29,49),(34,38),(37,41),(42,50),(51,57)]
[(0,30),(4,8),(11,31),(12,24),(13,21),(19,23),(20,32),(25,33),(26,34),(27,39),(28,48),(29,37),(35,47),(36,40),(38,46),(51,55)]
[(5,35),(8,16),(11,19),(12,20),(13,17),(21,25),(22,30),(23,31),(24,54),(28,36),(34,38),(39,47),(40,48),(42,46),(43,51)]
[(1,31),(4,34),(8,38),(9,39),(12,42),(13,43),(16,46),(17,47),(20,50),(21,51),(24,32),(25,55),(27,35),(28,58)]
[(1,30),(5,20),(9,23),(13,27),(17,31),(19,34),(21,35),(24,38),(25,40),(28,42),(29,58),(32,46),(36,50),(39,54)]
[(13,28),(16,30),(17,23),(20,34),(21,27),(25,39),(29,43),(31,46),(32,38),(36,42)]
[(17,32),(21,36),(23,38),(24,30),(25,31),(27,42),(28,34),(29,35)]
[(21,28),(25,32),(26,30),(27,34),(29,33),(31,38)]
[(23,30),(27,31),(28,32),(29,36)]
[(25,27),(28,30),(29,31),(32,34)]
[(27,30),(29,32)]
[(29,30)]

Constructed from N+2 case
Auto generated
Median selection network for 60 inputs, 313 CEs, 23 layers (cost=568):

[(0,1),(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57),(58,59)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(1,9),(2,10),(3,4),(5,13),(7,8),(11,12),(14,22),(15,16),(17,25),(18,26),(19,20),(21,29),(23,24),(27,28),(30,38),(31,32),(33,41),(34,42),(35,36),(37,45),(39,40),(43,44),(46,54),(47,48),(49,57),(50,58),(51,52),(55,56)]
[(0,8),(1,5),(3,11),(4,12),(6,10),(9,13),(14,18),(15,23),(16,24),(17,21),(19,27),(20,28),(22,26),(25,29),(30,34),(31,39),(32,40),(33,37),(35,43),(36,44),(38,42),(41,45),(46,50),(47,55),(48,56),(49,53),(51,59),(54,58)]
[(0,4),(1,33),(2,6),(5,9),(7,11),(8,12),(10,42),(13,45),(14,46),(15,19),(16,20),(17,49),(18,22),(21,25),(23,27),(24,28),(26,58),(31,35),(32,36),(34,38),(37,41),(39,43),(40,44),(47,51),(48,52),(50,54),(53,57),(55,59)]
[(0,32),(1,17),(2,34),(3,7),(4,8),(5,37),(6,38),(9,41),(10,26),(11,43),(12,44),(13,29),(15,47),(16,48),(18,50),(19,23),(20,24),(21,53),(22,54),(25,57),(27,59),(30,46),(33,49),(35,39),(36,40),(42,58),(51,55),(52,56)]
[(0,16),(2,18),(3,35),(4,36),(5,21),(6,22),(7,39),(8,40),(9,25),(11,27),(12,28),(14,30),(17,33),(19,51),(20,52),(23,55),(24,56),(26,42),(29,45),(31,47),(32,48),(34,50),(37,53),(38,54),(41,57),(43,59)]
[(3,19),(4,20),(6,32),(7,23),(8,24),(10,31),(18,34),(21,37),(22,38),(25,41),(27,53),(28,49),(35,51),(36,52),(39,55),(40,56)]
[(1,22),(4,46),(7,34),(8,17),(12,21),(13,55),(16,32),(19,35),(20,36),(23,39),(24,40),(25,52),(27,43),(37,58),(38,47),(42,51)]
[(5,23),(9,27),(11,20),(13,37),(16,34),(22,46),(24,33),(25,43),(26,35),(32,50),(36,54),(39,48)]
[(5,32),(8,26),(9,36),(11,38),(12,39),(17,35),(20,47),(21,48),(22,31),(23,50),(24,42),(27,54),(28,37),(33,51)]
[(9,46),(12,24),(13,50),(15,31),(17,38),(20,26),(21,42),(28,44),(33,39),(35,47)]
[(0,17),(9,34),(21,36),(23,38),(24,31),(25,50),(26,32),(27,33),(28,35),(42,59)]
[(13,28),(20,23),(21,27),(24,34),(25,35),(31,46),(32,38),(36,39)]
[(13,46),(17,23),(19,31),(25,30),(28,40),(29,34),(36,42)]
[(23,26),(28,30),(29,31),(33,36)]
[(12,29),(13,31),(28,46),(30,47)]
[(13,21),(38,46)]
[(21,32),(27,38)]
[(21,29),(27,31),(28,32),(30,38)]
[(26,28),(27,29),(30,32),(31,33)]
[(28,29),(30,31)]
[(28,30),(29,31)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 60 inputs, 314 CEs, 20 layers (cost=570):

[(0,1),(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57),(58,59)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(1,9),(2,10),(3,4),(5,13),(7,8),(11,12),(14,22),(15,16),(17,25),(18,26),(19,20),(21,29),(23,24),(27,28),(30,38),(31,32),(33,41),(34,42),(35,36),(37,45),(39,40),(43,44),(46,54),(47,48),(49,57),(50,58),(51,52),(55,56)]
[(0,8),(1,5),(3,11),(4,12),(6,10),(9,13),(14,18),(15,23),(16,24),(17,21),(19,27),(20,28),(22,26),(25,29),(30,34),(31,39),(32,40),(33,37),(35,43),(36,44),(38,42),(41,45),(46,50),(47,55),(48,56),(49,53),(51,59),(54,58)]
[(0,4),(1,33),(2,6),(5,9),(7,11),(8,12),(10,42),(13,45),(14,46),(15,19),(16,20),(17,49),(18,22),(21,25),(23,27),(24,28),(26,58),(31,35),(32,36),(34,38),(37,41),(39,43),(40,44),(47,51),(48,52),(50,54),(53,57),(55,59)]
[(0,32),(1,17),(2,34),(3,7),(4,8),(5,37),(6,38),(9,41),(10,26),(11,43),(12,44),(13,29),(15,47),(16,48),(18,50),(19,23),(20,24),(21,53),(22,54),(25,57),(27,59),(30,46),(33,49),(35,39),(36,40),(42,58),(51,55),(52,56)]
[(0,16),(2,18),(3,35),(4,36),(5,21),(6,22),(7,39),(8,40),(9,25),(11,27),(12,28),(17,33),(19,51),(20,52),(23,55),(24,56),(26,42),(31,47),(32,48),(34,50),(37,53),(38,54),(41,57),(43,59)]
[(1,34),(3,19),(4,20),(7,23),(8,24),(14,17),(15,31),(16,32),(21,37),(22,38),(25,58),(27,43),(28,44),(35,51),(36,52),(39,55),(40,56),(42,45)]
[(0,55),(4,59),(5,32),(7,46),(8,26),(10,16),(12,21),(13,52),(18,34),(19,35),(20,36),(22,31),(23,39),(24,40),(25,41),(27,54),(28,37),(33,51),(38,47),(43,49)]
[(4,31),(9,36),(11,20),(13,25),(17,35),(23,50),(24,42),(28,55),(34,46),(39,48)]
[(5,23),(8,17),(9,27),(11,38),(12,39),(13,28),(20,47),(21,48),(24,33),(25,30),(26,35),(29,34),(31,46),(32,50),(36,54),(42,51)]
[(6,23),(9,31),(12,24),(13,43),(16,46),(17,38),(21,42),(26,32),(27,33),(28,50),(35,47),(36,53)]
[(12,29),(16,19),(17,26),(20,32),(21,36),(23,38),(24,31),(27,39),(28,35),(30,47),(33,42),(40,43)]
[(13,28),(19,29),(20,23),(21,27),(30,40),(31,46),(32,38),(36,39)]
[(21,32),(23,26),(27,38),(28,30),(29,31),(33,36)]
[(13,31),(21,29),(28,46),(30,38)]
[(13,26),(24,29),(27,31),(28,32),(30,35),(33,46)]
[(26,28),(27,29),(30,32),(31,33)]
[(28,30),(29,31)]
[(28,29),(30,31)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 60 inputs, 338 CEs, 19 layers (cost=618):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59)]
[(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57)]
[(1,5),(3,4),(6,10),(7,8),(9,13),(11,12),(14,18),(15,16),(17,21),(19,20),(22,26),(23,24),(25,29),(27,28),(30,34),(31,32),(33,37),(35,36),(38,42),(39,40),(41,45),(43,44),(46,50),(47,48),(49,53),(51,52),(54,58),(55,56)]
[(0,4),(1,9),(2,10),(5,13),(7,11),(8,12),(14,22),(15,19),(16,20),(17,25),(18,26),(21,29),(23,27),(24,28),(30,38),(31,35),(32,36),(33,41),(34,42),(37,45),(39,43),(40,44),(46,54),(47,51),(48,52),(49,57),(50,58),(55,59)]
[(0,8),(1,17),(2,18),(3,11),(4,12),(5,21),(6,22),(9,25),(10,26),(13,29),(15,23),(16,24),(19,27),(20,28),(30,46),(31,39),(32,40),(33,49),(34,50),(35,43),(36,44),(37,53),(38,54),(41,57),(42,58),(47,55),(48,56),(51,59)]
[(0,16),(1,33),(2,46),(3,19),(4,20),(5,49),(6,38),(7,23),(8,24),(9,41),(10,54),(11,27),(12,28),(13,57),(14,34),(17,37),(18,50),(21,53),(22,42),(25,45),(26,58),(31,47),(32,48),(35,51),(36,52),(39,55),(40,56),(43,59)]
[(0,32),(3,47),(4,48),(5,33),(6,14),(7,39),(8,40),(9,17),(10,18),(11,55),(12,56),(13,21),(15,35),(16,36),(19,51),(20,52),(22,34),(23,43),(24,44),(25,37),(26,54),(27,59),(38,46),(41,49),(42,50),(45,53)]
[(3,31),(4,32),(5,9),(7,15),(8,16),(10,34),(11,19),(12,20),(13,37),(14,30),(17,33),(18,38),(21,41),(22,46),(23,35),(24,36),(25,49),(26,42),(27,55),(28,56),(29,45),(39,47),(40,48),(43,51),(44,52),(50,54)]
[(2,8),(9,17),(10,30),(11,35),(12,36),(13,33),(15,31),(16,32),(18,22),(19,39),(20,40),(21,25),(23,47),(24,48),(26,46),(27,43),(28,44),(29,49),(34,38),(37,41),(42,50),(51,57)]
[(0,30),(4,8),(11,31),(12,24),(13,21),(19,23),(20,32),(25,33),(26,34),(27,39),(28,48),(29,59),(35,47),(36,40),(38,46),(51,55)]
[(5,35),(8,16),(11,19),(12,20),(13,17),(21,25),(22,30),(23,31),(24,54),(28,36),(29,37),(34,38),(39,47),(40,48),(42,46),(43,51)]
[(1,31),(4,34),(8,38),(9,39),(12,42),(13,43),(16,46),(17,47),(20,50),(21,51),(24,32),(25,55),(27,35),(28,58)]
[(1,30),(5,20),(9,23),(13,27),(17,31),(19,34),(21,35),(24,38),(25,40),(28,42),(29,58),(32,46),(36,50),(39,54)]
[(13,28),(16,30),(17,23),(20,34),(21,27),(25,39),(29,43),(31,46),(32,38),(36,42)]
[(17,32),(21,36),(23,38),(24,30),(25,31),(27,42),(28,34),(29,35)]
[(21,28),(25,32),(26,30),(27,34),(29,33),(31,38)]
[(23,30),(27,31),(28,32),(29,36)]
[(25,27),(28,30),(29,31),(32,34)]
[(27,30),(29,32)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 61 inputs, 316 CEs, 26 layers (cost=572):

[(0,1),(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57),(58,59)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(1,9),(2,10),(3,4),(5,13),(7,8),(11,12),(14,22),(15,16),(17,25),(18,26),(19,20),(21,29),(23,24),(27,28),(30,38),(31,32),(33,41),(34,42),(35,36),(37,45),(39,40),(43,44),(46,54),(47,48),(49,57),(50,58),(51,52),(55,56)]
[(0,8),(1,5),(3,11),(4,12),(6,10),(9,13),(14,18),(15,23),(16,24),(17,21),(19,27),(20,28),(22,26),(25,29),(30,34),(31,39),(32,40),(33,37),(35,43),(36,44),(38,42),(41,45),(46,50),(47,55),(48,56),(49,53),(51,59),(54,58)]
[(0,4),(1,33),(2,6),(5,9),(7,11),(8,12),(10,42),(13,45),(14,46),(15,19),(16,20),(17,49),(18,22),(21,25),(23,27),(24,28),(26,58),(31,35),(32,36),(34,38),(37,41),(39,43),(40,44),(47,51),(48,52),(50,54),(53,57),(55,59)]
[(0,32),(1,17),(2,34),(3,7),(4,8),(5,37),(6,38),(9,41),(10,26),(11,43),(12,44),(13,29),(15,47),(16,48),(18,50),(19,23),(20,24),(21,53),(22,54),(25,57),(27,59),(30,46),(33,49),(35,39),(36,40),(42,58),(51,55),(52,56)]
[(0,16),(2,18),(3,35),(4,36),(5,21),(6,22),(7,39),(8,40),(9,25),(11,27),(12,28),(14,30),(17,33),(19,51),(20,52),(23,55),(24,56),(26,42),(29,45),(31,47),(32,48),(34,50),(37,53),(38,54),(41,57),(43,59)]
[(3,19),(4,20),(6,32),(7,23),(8,24),(10,31),(18,34),(21,37),(22,38),(25,41),(27,53),(28,49),(35,51),(36,52),(39,55),(40,56)]
[(1,22),(4,46),(7,34),(8,17),(12,21),(13,55),(16,32),(19,35),(20,36),(23,39),(24,40),(25,52),(27,43),(37,58),(38,47),(42,51)]
[(5,23),(9,27),(11,20),(13,37),(16,34),(22,46),(24,33),(25,43),(26,35),(32,50),(36,54),(39,48)]
[(5,32),(8,26),(9,36),(11,38),(12,39),(17,35),(20,47),(21,48),(22,31),(23,50),(24,42),(27,54),(28,37),(33,51)]
[(9,46),(12,24),(13,50),(15,31),(17,38),(20,26),(21,42),(28,44),(33,39),(35,47)]
[(0,17),(9,34),(21,36),(23,38),(24,31),(25,50),(26,32),(27,33),(28,35),(42,59)]
[(13,28),(20,23),(21,27),(24,34),(25,35),(31,46),(32,38),(36,39)]
[(13,46),(17,23),(19,31),(25,30),(28,40),(29,34),(36,42)]
[(23,26),(28,30),(29,31),(33,36)]
[(12,29),(13,31),(28,46),(30,47)]
[(13,21),(38,46)]
[(21,32),(27,38)]
[(21,29),(27,31),(28,32),(30,38)]
[(26,28),(27,29),(30,32),(31,33)]
[(28,29),(30,31)]
[(28,30),(29,31)]
[(29,30)]
[(30,60)]
[(29,30)]

Constructed from N-1 case
Auto generated
Median selection network for 61 inputs, 317 CEs, 23 layers (cost=574):

[(0,1),(2,4),(3,5),(6,8),(7,9),(10,12),(11,13),(14,16),(15,17),(18,20),(19,21),(22,24),(23,25),(26,28),(27,29),(30,32),(31,33),(34,36),(35,37),(38,40),(39,41),(42,44),(43,45),(46,48),(47,49),(50,52),(51,53),(54,56),(55,57),(58,59)]
[(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57)]
[(1,9),(2,10),(3,4),(5,13),(7,8),(11,12),(14,22),(15,16),(17,25),(18,26),(19,20),(21,29),(23,24),(27,28),(30,38),(31,32),(33,41),(34,42),(35,36),(37,45),(39,40),(43,44),(46,54),(47,48),(49,57),(50,58),(51,52),(55,56)]
[(0,8),(1,5),(3,11),(4,12),(6,10),(9,13),(14,18),(15,23),(16,24),(17,21),(19,27),(20,28),(22,26),(25,29),(30,34),(31,39),(32,40),(33,37),(35,43),(36,44),(38,42),(41,45),(46,50),(47,55),(48,56),(49,53),(51,59),(54,58)]
[(0,4),(1,33),(2,6),(5,9),(7,11),(8,12),(10,42),(13,45),(14,46),(15,19),(16,20),(17,49),(18,22),(21,25),(23,27),(24,28),(26,58),(31,35),(32,36),(34,38),(37,41),(39,43),(40,44),(47,51),(48,52),(50,54),(53,57),(55,59)]
[(0,32),(1,17),(2,34),(3,7),(4,8),(5,37),(6,38),(9,41),(10,26),(11,43),(12,44),(13,29),(15,47),(16,48),(18,50),(19,23),(20,24),(21,53),(22,54),(25,57),(27,59),(30,46),(33,49),(35,39),(36,40),(42,58),(51,55),(52,56)]
[(0,16),(2,18),(3,35),(4,36),(5,21),(6,22),(7,39),(8,40),(9,25),(11,27),(12,28),(17,33),(19,51),(20,52),(23,55),(24,56),(26,42),(31,47),(32,48),(34,50),(37,53),(38,54),(41,57),(43,59)]
[(1,34),(3,19),(4,20),(7,23),(8,24),(14,17),(15,31),(16,32),(21,37),(22,38),(25,58),(27,43),(28,44),(35,51),(36,52),(39,55),(40,56),(42,45)]
[(0,55),(4,59),(5,32),(7,46),(8,26),(10,16),(12,21),(13,52),(18,34),(19,35),(20,36),(22,31),(23,39),(24,40),(25,41),(27,54),(28,37),(33,51),(38,47),(43,49)]
[(4,31),(9,36),(11,20),(13,25),(17,35),(23,50),(24,42),(28,55),(34,46),(39,48)]
[(5,23),(8,17),(9,27),(11,38),(12,39),(13,28),(20,47),(21,48),(24,33),(25,30),(26,35),(29,34),(31,46),(32,50),(36,54),(42,51)]
[(6,23),(9,31),(12,24),(13,43),(16,46),(17,38),(21,42),(26,32),(27,33),(28,50),(35,47),(36,53)]
[(12,29),(16,19),(17,26),(20,32),(21,36),(23,38),(24,31),(27,39),(28,35),(30,47),(33,42),(40,43)]
[(13,28),(19,29),(20,23),(21,27),(30,40),(31,46),(32,38),(36,39)]
[(21,32),(23,26),(27,38),(28,30),(29,31),(33,36)]
[(13,31),(21,29),(28,46),(30,38)]
[(13,26),(24,29),(27,31),(28,32),(30,35),(33,46)]
[(26,28),(27,29),(30,32),(31,33)]
[(28,30),(29,31)]
[(28,29),(30,31)]
[(29,30)]
[(30,60)]
[(29,30)]

Constructed from N-1 case
Auto generated
Median selection network for 61 inputs, 321 CEs, 21 layers (cost=582):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,60)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58)]
[(0,1),(2,10),(3,11),(4,5),(6,14),(8,9),(12,13),(15,23),(16,17),(18,26),(19,27),(20,21),(22,30),(24,25),(28,29),(31,39),(32,33),(34,42),(35,43),(36,37),(38,46),(40,41),(44,45),(47,55),(48,49),(50,58),(51,59),(52,53),(56,57)]
[(0,8),(1,9),(2,6),(4,12),(5,13),(7,11),(10,14),(15,19),(16,24),(17,25),(18,22),(20,28),(21,29),(23,27),(26,30),(31,35),(32,40),(33,41),(34,38),(36,44),(37,45),(39,43),(42,46),(47,51),(48,56),(49,57),(50,54),(52,60),(55,59)]
[(0,4),(1,5),(2,34),(3,7),(6,10),(8,12),(9,13),(11,43),(14,46),(15,47),(16,20),(17,21),(18,50),(19,23),(22,26),(24,28),(25,29),(27,59),(32,36),(33,37),(35,39),(38,42),(40,44),(41,45),(48,52),(49,53),(51,55),(54,58),(56,60)]
[(0,32),(1,33),(2,18),(3,35),(4,8),(5,9),(6,38),(7,39),(10,42),(11,27),(12,44),(13,45),(14,30),(16,48),(17,49),(19,51),(20,24),(21,25),(22,54),(23,55),(26,58),(28,60),(31,47),(34,50),(36,40),(37,41),(43,59),(52,56),(53,57)]
[(0,16),(1,17),(3,19),(4,36),(5,37),(6,22),(7,23),(8,40),(9,41),(10,26),(12,28),(13,29),(18,34),(20,52),(21,53),(24,56),(25,57),(27,43),(32,48),(33,49),(35,51),(38,54),(39,55),(42,58),(44,60)]
[(2,35),(4,20),(5,21),(8,24),(9,25),(15,18),(16,32),(17,33),(22,38),(23,39),(26,59),(28,44),(29,45),(36,52),(37,53),(40,56),(41,57),(43,46)]
[(1,56),(5,60),(6,33),(8,47),(9,27),(11,17),(13,22),(14,53),(19,35),(20,36),(21,37),(23,32),(24,40),(25,41),(26,42),(28,55),(29,38),(34,52),(39,48),(44,50)]
[(5,32),(10,37),(12,21),(14,26),(18,36),(24,51),(25,43),(29,56),(35,47),(40,49)]
[(6,24),(9,18),(10,28),(12,39),(13,40),(14,29),(21,48),(22,49),(25,34),(26,31),(27,36),(30,35),(32,47),(33,51),(37,55),(43,52)]
[(7,24),(10,32),(13,25),(14,44),(17,47),(18,39),(22,43),(27,33),(28,34),(29,51),(36,48),(37,54)]
[(13,30),(17,20),(18,27),(21,33),(22,37),(24,39),(25,32),(28,40),(29,36),(31,48),(34,43),(41,44)]
[(14,29),(20,30),(21,24),(22,28),(31,41),(32,47),(33,39),(37,40)]
[(22,33),(24,27),(28,39),(29,31),(30,32),(34,37)]
[(14,32),(22,30),(29,47),(31,39)]
[(14,27),(25,30),(28,32),(29,33),(31,36),(34,47)]
[(27,29),(28,30),(31,33),(32,34)]
[(29,31),(30,32)]
[(29,30),(31,32)]
[(30,31)]

Constructed from N+2 case
Auto generated
Median selection network for 61 inputs, 345 CEs, 20 layers (cost=630):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(42,46),(44,45),(47,51),(48,49),(50,54),(52,53),(55,59),(56,57)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,23),(16,20),(17,21),(18,26),(19,27),(22,30),(24,28),(25,29),(31,39),(32,36),(33,37),(34,42),(35,43),(38,46),(40,44),(41,45),(47,55),(48,52),(49,53),(50,58),(51,59),(56,60)]
[(0,8),(1,9),(2,18),(3,19),(4,12),(5,13),(6,22),(7,23),(10,26),(11,27),(14,30),(16,24),(17,25),(20,28),(21,29),(31,47),(32,40),(33,41),(34,50),(35,51),(36,44),(37,45),(38,54),(39,55),(42,58),(43,59),(48,56),(49,57),(52,60)]
[(0,16),(1,17),(2,34),(3,47),(4,20),(5,21),(6,50),(7,39),(8,24),(9,25),(10,42),(11,55),(12,28),(13,29),(14,58),(15,35),(18,38),(19,51),(22,54),(23,43),(26,46),(27,59),(32,48),(33,49),(36,52),(37,53),(40,56),(41,57),(44,60)]
[(0,32),(1,33),(4,48),(5,49),(6,34),(7,15),(8,40),(9,41),(10,18),(11,19),(12,56),(13,57),(14,22),(16,36),(17,37),(20,52),(21,53),(23,35),(24,44),(25,45),(26,38),(27,55),(28,60),(39,47),(42,50),(43,51),(46,54)]
[(4,32),(5,33),(6,10),(8,16),(9,17),(11,35),(12,20),(13,21),(14,38),(15,31),(18,34),(19,39),(22,42),(23,47),(24,36),(25,37),(26,50),(27,43),(28,56),(29,57),(30,46),(40,48),(41,49),(44,52),(45,53),(51,55)]
[(3,9),(10,18),(11,31),(12,36),(13,37),(14,34),(16,32),(17,33),(19,23),(20,40),(21,41),(22,26),(24,48),(25,49),(27,47),(28,44),(29,45),(30,50),(35,39),(38,42),(43,51),(52,58)]
[(1,31),(5,9),(12,32),(13,25),(14,22),(20,24),(21,33),(26,34),(27,35),(28,40),(29,49),(30,60),(36,48),(37,41),(39,47),(52,56)]
[(6,36),(9,17),(12,20),(13,21),(14,18),(22,26),(23,31),(24,32),(25,55),(29,37),(30,38),(35,39),(40,48),(41,49),(43,47),(44,52)]
[(2,32),(5,35),(9,39),(10,40),(13,43),(14,44),(17,47),(18,48),(21,51),(22,52),(25,33),(26,56),(28,36),(29,59)]
[(2,31),(6,21),(10,24),(14,28),(18,32),(20,35),(22,36),(25,39),(26,41),(29,43),(30,59),(33,47),(37,51),(40,55)]
[(14,29),(17,31),(18,24),(21,35),(22,28),(26,40),(30,44),(32,47),(33,39),(37,43)]
[(18,33),(22,37),(24,39),(25,31),(26,32),(28,43),(29,35),(30,36)]
[(22,29),(26,33),(27,31),(28,35),(30,34),(32,39)]
[(24,31),(28,32),(29,33),(30,37)]
[(26,28),(29,31),(30,32),(33,35)]
[(28,31),(30,33)]
[(30,31)]

Constructed from N+2 case
Auto generated
Median selection network for 62 inputs, 325 CEs, 23 layers (cost=590):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,61)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,1),(2,10),(3,11),(4,5),(6,14),(8,9),(12,13),(15,23),(16,17),(18,26),(19,27),(20,21),(22,30),(24,25),(28,29),(31,39),(32,33),(34,42),(35,43),(36,37),(38,46),(40,41),(44,45),(47,55),(48,49),(50,58),(51,59),(52,53),(56,57),(60,61)]
[(0,8),(1,9),(2,6),(4,12),(5,13),(7,11),(10,14),(15,19),(16,24),(17,25),(18,22),(20,28),(21,29),(23,27),(26,30),(31,35),(32,40),(33,41),(34,38),(36,44),(37,45),(39,43),(42,46),(47,51),(48,56),(49,57),(50,54),(52,60),(53,61),(55,59)]
[(0,4),(1,5),(2,34),(3,7),(6,10),(8,12),(9,13),(11,43),(14,46),(15,47),(16,20),(17,21),(18,50),(19,23),(22,26),(24,28),(25,29),(27,59),(32,36),(33,37),(35,39),(38,42),(40,44),(41,45),(48,52),(49,53),(51,55),(54,58),(56,60),(57,61)]
[(0,32),(1,33),(2,18),(3,35),(4,8),(5,9),(6,38),(7,39),(10,42),(11,27),(12,44),(13,45),(14,30),(16,48),(17,49),(19,51),(20,24),(21,25),(22,54),(23,55),(26,58),(28,60),(29,61),(31,47),(34,50),(36,40),(37,41),(43,59),(52,56),(53,57)]
[(0,16),(1,17),(3,19),(4,36),(5,37),(6,22),(7,23),(8,40),(9,41),(10,26),(12,28),(13,29),(15,31),(18,34),(20,52),(21,53),(24,56),(25,57),(27,43),(30,46),(32,48),(33,49),(35,51),(38,54),(39,55),(42,58),(44,60),(45,61)]
[(4,20),(5,21),(7,33),(8,24),(9,25),(11,32),(19,35),(22,38),(23,39),(26,42),(28,54),(29,50),(36,52),(37,53),(40,56),(41,57)]
[(2,23),(5,47),(8,35),(9,18),(13,22),(14,56),(17,33),(20,36),(21,37),(24,40),(25,41),(26,53),(28,44),(38,59),(39,48),(43,52)]
[(6,24),(10,28),(12,21),(14,38),(17,35),(23,47),(25,34),(26,44),(27,36),(33,51),(37,55),(40,49)]
[(6,33),(9,27),(10,37),(12,39),(13,40),(18,36),(21,48),(22,49),(23,32),(24,51),(25,43),(28,55),(29,38),(34,52)]
[(10,47),(13,25),(14,51),(16,32),(18,39),(21,27),(22,43),(29,45),(34,40),(36,48)]
[(1,18),(10,35),(22,37),(24,39),(25,32),(26,51),(27,33),(28,34),(29,36),(43,60)]
[(14,29),(21,24),(22,28),(25,35),(26,36),(32,47),(33,39),(37,40)]
[(14,47),(18,24),(20,32),(26,31),(29,41),(30,35),(37,43)]
[(24,27),(29,31),(30,32),(34,37)]
[(13,30),(14,32),(29,47),(31,48)]
[(14,22),(39,47)]
[(22,33),(28,39)]
[(22,30),(28,32),(29,33),(31,39)]
[(27,29),(28,30),(31,33),(32,34)]
[(29,30),(31,32)]
[(29,31),(30,32)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 62 inputs, 326 CEs, 20 layers (cost=592):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,61)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,1),(2,10),(3,11),(4,5),(6,14),(8,9),(12,13),(15,23),(16,17),(18,26),(19,27),(20,21),(22,30),(24,25),(28,29),(31,39),(32,33),(34,42),(35,43),(36,37),(38,46),(40,41),(44,45),(47,55),(48,49),(50,58),(51,59),(52,53),(56,57),(60,61)]
[(0,8),(1,9),(2,6),(4,12),(5,13),(7,11),(10,14),(15,19),(16,24),(17,25),(18,22),(20,28),(21,29),(23,27),(26,30),(31,35),(32,40),(33,41),(34,38),(36,44),(37,45),(39,43),(42,46),(47,51),(48,56),(49,57),(50,54),(52,60),(53,61),(55,59)]
[(0,4),(1,5),(2,34),(3,7),(6,10),(8,12),(9,13),(11,43),(14,46),(15,47),(16,20),(17,21),(18,50),(19,23),(22,26),(24,28),(25,29),(27,59),(32,36),(33,37),(35,39),(38,42),(40,44),(41,45),(48,52),(49,53),(51,55),(54,58),(56,60),(57,61)]
[(0,32),(1,33),(2,18),(3,35),(4,8),(5,9),(6,38),(7,39),(10,42),(11,27),(12,44),(13,45),(14,30),(16,48),(17,49),(19,51),(20,24),(21,25),(22,54),(23,55),(26,58),(28,60),(29,61),(31,47),(34,50),(36,40),(37,41),(43,59),(52,56),(53,57)]
[(0,16),(1,17),(3,19),(4,36),(5,37),(6,22),(7,23),(8,40),(9,41),(10,26),(12,28),(13,29),(18,34),(20,52),(21,53),(24,56),(25,57),(27,43),(32,48),(33,49),(35,51),(38,54),(39,55),(42,58),(44,60),(45,61)]
[(2,35),(4,20),(5,21),(8,24),(9,25),(15,18),(16,32),(17,33),(22,38),(23,39),(26,59),(28,44),(29,45),(36,52),(37,53),(40,56),(41,57),(43,46)]
[(1,56),(5,60),(6,33),(8,47),(9,27),(11,17),(13,22),(14,53),(19,35),(20,36),(21,37),(23,32),(24,40),(25,41),(26,42),(28,55),(29,38),(34,52),(39,48),(44,50)]
[(5,32),(10,37),(12,21),(14,26),(18,36),(24,51),(25,43),(29,56),(35,47),(40,49)]
[(6,24),(9,18),(10,28),(12,39),(13,40),(14,29),(21,48),(22,49),(25,34),(26,31),(27,36),(30,35),(32,47),(33,51),(37,55),(43,52)]
[(7,24),(10,32),(13,25),(14,44),(17,47),(18,39),(22,43),(27,33),(28,34),(29,51),(36,48),(37,54)]
[(13,30),(17,20),(18,27),(21,33),(22,37),(24,39),(25,32),(28,40),(29,36),(31,48),(34,43),(41,44)]
[(14,29),(20,30),(21,24),(22,28),(31,41),(32,47),(33,39),(37,40)]
[(22,33),(24,27),(28,39),(29,31),(30,32),(34,37)]
[(14,32),(22,30),(29,47),(31,39)]
[(14,27),(25,30),(28,32),(29,33),(31,36),(34,47)]
[(27,29),(28,30),(31,33),(32,34)]
[(29,31),(30,32)]
[(29,30),(31,32)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 62 inputs, 350 CEs, 19 layers (cost=640):

[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,61)]
[(0,1),(2,6),(4,5),(7,11),(8,9),(10,14),(12,13),(15,19),(16,17),(18,22),(20,21),(23,27),(24,25),(26,30),(28,29),(31,35),(32,33),(34,38),(36,37),(39,43),(40,41),(42,46),(44,45),(47,51),(48,49),(50,54),(52,53),(55,59),(56,57),(60,61)]
[(0,4),(1,5),(2,10),(3,11),(6,14),(8,12),(9,13),(15,23),(16,20),(17,21),(18,26),(19,27),(22,30),(24,28),(25,29),(31,39),(32,36),(33,37),(34,42),(35,43),(38,46),(40,44),(41,45),(47,55),(48,52),(49,53),(50,58),(51,59),(56,60),(57,61)]
[(0,8),(1,9),(2,18),(3,19),(4,12),(5,13),(6,22),(7,23),(10,26),(11,27),(14,30),(16,24),(17,25),(20,28),(21,29),(31,47),(32,40),(33,41),(34,50),(35,51),(36,44),(37,45),(38,54),(39,55),(42,58),(43,59),(48,56),(49,57),(52,60),(53,61)]
[(0,16),(1,17),(2,34),(3,47),(4,20),(5,21),(6,50),(7,39),(8,24),(9,25),(10,42),(11,55),(12,28),(13,29),(14,58),(15,35),(18,38),(19,51),(22,54),(23,43),(26,46),(27,59),(32,48),(33,49),(36,52),(37,53),(40,56),(41,57),(44,60),(45,61)]
[(0,32),(1,33),(4,48),(5,49),(6,34),(7,15),(8,40),(9,41),(10,18),(11,19),(12,56),(13,57),(14,22),(16,36),(17,37),(20,52),(21,53),(23,35),(24,44),(25,45),(26,38),(27,55),(28,60),(29,61),(39,47),(42,50),(43,51),(46,54)]
[(4,32),(5,33),(6,10),(8,16),(9,17),(11,35),(12,20),(13,21),(14,38),(15,31),(18,34),(19,39),(22,42),(23,47),(24,36),(25,37),(26,50),(27,43),(28,56),(29,57),(30,46),(40,48),(41,49),(44,52),(45,53),(51,55)]
[(3,9),(10,18),(11,31),(12,36),(13,37),(14,34),(16,32),(17,33),(19,23),(20,40),(21,41),(22,26),(24,48),(25,49),(27,47),(28,44),(29,45),(30,50),(35,39),(38,42),(43,51),(52,58)]
[(1,31),(5,9),(12,32),(13,25),(14,22),(20,24),(21,33),(26,34),(27,35),(28,40),(29,49),(30,60),(36,48),(37,41),(39,47),(52,56)]
[(6,36),(9,17),(12,20),(13,21),(14,18),(22,26),(23,31),(24,32),(25,55),(29,37),(30,38),(35,39),(40,48),(41,49),(43,47),(44,52)]
[(2,32),(5,35),(9,39),(10,40),(13,43),(14,44),(17,47),(18,48),(21,51),(22,52),(25,33),(26,56),(28,36),(29,59)]
[(2,31),(6,21),(10,24),(14,28),(18,32),(20,35),(22,36),(25,39),(26,41),(29,43),(30,59),(33,47),(37,51),(40,55)]
[(14,29),(17,31),(18,24),(21,35),(22,28),(26,40),(30,44),(32,47),(33,39),(37,43)]
[(18,33),(22,37),(24,39),(25,31),(26,32),(28,43),(29,35),(30,36)]
[(22,29),(26,33),(27,31),(28,35),(30,34),(32,39)]
[(24,31),(28,32),(29,33),(30,37)]
[(26,28),(29,31),(30,32),(33,35)]
[(28,31),(30,33)]

+ two-input averager (not displayed)
Constructed from N+2 case
Auto generated
Median selection network for 63 inputs, 328 CEs, 26 layers (cost=594):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,61)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,1),(2,10),(3,11),(4,5),(6,14),(8,9),(12,13),(15,23),(16,17),(18,26),(19,27),(20,21),(22,30),(24,25),(28,29),(31,39),(32,33),(34,42),(35,43),(36,37),(38,46),(40,41),(44,45),(47,55),(48,49),(50,58),(51,59),(52,53),(56,57),(60,61)]
[(0,8),(1,9),(2,6),(4,12),(5,13),(7,11),(10,14),(15,19),(16,24),(17,25),(18,22),(20,28),(21,29),(23,27),(26,30),(31,35),(32,40),(33,41),(34,38),(36,44),(37,45),(39,43),(42,46),(47,51),(48,56),(49,57),(50,54),(52,60),(53,61),(55,59)]
[(0,4),(1,5),(2,34),(3,7),(6,10),(8,12),(9,13),(11,43),(14,46),(15,47),(16,20),(17,21),(18,50),(19,23),(22,26),(24,28),(25,29),(27,59),(32,36),(33,37),(35,39),(38,42),(40,44),(41,45),(48,52),(49,53),(51,55),(54,58),(56,60),(57,61)]
[(0,32),(1,33),(2,18),(3,35),(4,8),(5,9),(6,38),(7,39),(10,42),(11,27),(12,44),(13,45),(14,30),(16,48),(17,49),(19,51),(20,24),(21,25),(22,54),(23,55),(26,58),(28,60),(29,61),(31,47),(34,50),(36,40),(37,41),(43,59),(52,56),(53,57)]
[(0,16),(1,17),(3,19),(4,36),(5,37),(6,22),(7,23),(8,40),(9,41),(10,26),(12,28),(13,29),(15,31),(18,34),(20,52),(21,53),(24,56),(25,57),(27,43),(30,46),(32,48),(33,49),(35,51),(38,54),(39,55),(42,58),(44,60),(45,61)]
[(4,20),(5,21),(7,33),(8,24),(9,25),(11,32),(19,35),(22,38),(23,39),(26,42),(28,54),(29,50),(36,52),(37,53),(40,56),(41,57)]
[(2,23),(5,47),(8,35),(9,18),(13,22),(14,56),(17,33),(20,36),(21,37),(24,40),(25,41),(26,53),(28,44),(38,59),(39,48),(43,52)]
[(6,24),(10,28),(12,21),(14,38),(17,35),(23,47),(25,34),(26,44),(27,36),(33,51),(37,55),(40,49)]
[(6,33),(9,27),(10,37),(12,39),(13,40),(18,36),(21,48),(22,49),(23,32),(24,51),(25,43),(28,55),(29,38),(34,52)]
[(10,47),(13,25),(14,51),(16,32),(18,39),(21,27),(22,43),(29,45),(34,40),(36,48)]
[(1,18),(10,35),(22,37),(24,39),(25,32),(26,51),(27,33),(28,34),(29,36),(43,60)]
[(14,29),(21,24),(22,28),(25,35),(26,36),(32,47),(33,39),(37,40)]
[(14,47),(18,24),(20,32),(26,31),(29,41),(30,35),(37,43)]
[(24,27),(29,31),(30,32),(34,37)]
[(13,30),(14,32),(29,47),(31,48)]
[(14,22),(39,47)]
[(22,33),(28,39)]
[(22,30),(28,32),(29,33),(31,39)]
[(27,29),(28,30),(31,33),(32,34)]
[(29,30),(31,32)]
[(29,31),(30,32)]
[(30,31)]
[(31,62)]
[(30,31)]

Constructed from N-1 case
Auto generated
Median selection network for 63 inputs, 329 CEs, 23 layers (cost=596):

[(0,2),(3,5),(4,6),(7,9),(8,10),(11,13),(12,14),(15,17),(16,18),(19,21),(20,22),(23,25),(24,26),(27,29),(28,30),(31,33),(32,34),(35,37),(36,38),(39,41),(40,42),(43,45),(44,46),(47,49),(48,50),(51,53),(52,54),(55,57),(56,58),(59,61)]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25,26),(27,28),(29,30),(31,32),(33,34),(35,36),(37,38),(39,40),(41,42),(43,44),(45,46),(47,48),(49,50),(51,52),(53,54),(55,56),(57,58),(59,60)]
[(0,1),(2,10),(3,11),(4,5),(6,14),(8,9),(12,13),(15,23),(16,17),(18,26),(19,27),(20,21),(22,30),(24,25),(28,29),(31,39),(32,33),(34,42),(35,43),(36,37),(38,46),(40,41),(44,45),(47,55),(48,49),(50,58),(51,59),(52,53),(56,57),(60,61)]
[(0,8),(1,9),(2,6),(4,12),(5,13),(7,11),(10,14),(15,19),(16,24),(17,25),(18,22),(20,28),(21,29),(23,27),(26,30),(31,35),(32,40),(33,41),(34,38),(36,44),(37,45),(39,43),(42,46),(47,51),(48,56),(49,57),(50,54),(52,60),(53,61),(55,59)]
[(0,4),(1,5),(2,34),(3,7),(6,10),(8,12),(9,13),(11,43),(14,46),(15,47),(16,20),(17,21),(18,50),(19,23),(22,26),(24,28),(25,29),(27,59),(32,36),(33,37),(35,39),(38,42),(40,44),(41,45),(48,52),(49,53),(51,55),(54,58),(56,60),(57,61)]
[(0,32),(1,33),(2,18),(3,35),(4,8),(5,9),(6,38),(7,39),(10,42),(11,27),(12,44),(13,45),(14,30),(16,48),(17,49),(19,51),(20,24),(21,25),(22,54),(23,55),(26,58),(28,60),(29,61),(31,47),(34,50),(36,40),(37,41),(43,59),(52,56),(53,57)]
[(0,16),(1,17),(3,19),(4,36),(5,37),(6,22),(7,23),(8,40),(9,41),(10,26),(12,28),(13,29),(18,34),(20,52),(21,53),(24,56),(25,57),(27,43),(32,48),(33,49),(35,51),(38,54),(39,55),(42,58),(44,60),(45,61)]
[(2,35),(4,20),(5,21),(8,24),(9,25),(15,18),(16,32),(17,33),(22,38),(23,39),(26,59),(28,44),(29,45),(36,52),(37,53),(40,56),(41,57),(43,46)]
[(1,56),(5,60),(6,33),(8,47),(9,27),(11,17),(13,22),(14,53),(19,35),(20,36),(21,37),(23,32),(24,40),(25,41),(26,42),(28,55),(29,38),(34,52),(39,48),(44,50)]
[(5,32),(10,37),(12,21),(14,26),(18,36),(24,51),(25,43),(29,56),(35,47),(40,49)]
[(6,24),(9,18),(10,28),(12,39),(13,40),(14,29),(21,48),(22,49),(25,34),(26,31),(27,36),(30,35),(32,47),(33,51),(37,55),(43,52)]
[(7,24),(10,32),(13,25),(14,44),(17,47),(18,39),(22,43),(27,33),(28,34),(29,51),(36,48),(37,54)]
[(13,30),(17,20),(18,27),(21,33),(22,37),(24,39),(25,32),(28,40),(29,36),(31,48),(34,43),(41,44)]
[(14,29),(20,30),(21,24),(22,28),(31,41),(32,47),(33,39),(37,40)]
[(22,33),(24,27),(28,39),(29,31),(30,32),(34,37)]
[(14,32),(22,30),(29,47),(31,39)]
[(14,27),(25,30),(28,32),(29,33),(31,36),(34,47)]
[(27,29),(28,30),(31,33),(32,34)]
[(29,31),(30,32)]
[(29,30),(31,32)]
[(30,31)]
[(31,62)]
[(30,31)]

Constructed from N-1 case
Auto generated
Median selection network for 63 inputs, 333 CEs, 21 layers (cost=604):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55),(56,58),(57,59),(60,62)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59),(60,61)]
[(0,8),(1,2),(3,11),(4,12),(5,6),(7,15),(9,10),(13,14),(16,24),(17,18),(19,27),(20,28),(21,22),(23,31),(25,26),(29,30),(32,40),(33,34),(35,43),(36,44),(37,38),(39,47),(41,42),(45,46),(48,56),(49,50),(51,59),(52,60),(53,54),(57,58),(61,62)]
[(0,4),(1,9),(2,10),(3,7),(5,13),(6,14),(8,12),(11,15),(16,20),(17,25),(18,26),(19,23),(21,29),(22,30),(24,28),(27,31),(32,36),(33,41),(34,42),(35,39),(37,45),(38,46),(40,44),(43,47),(48,52),(49,57),(50,58),(51,55),(53,61),(54,62),(56,60)]
[(0,32),(1,5),(2,6),(3,35),(4,8),(7,11),(9,13),(10,14),(12,44),(15,47),(16,48),(17,21),(18,22),(19,51),(20,24),(23,27),(25,29),(26,30),(28,60),(33,37),(34,38),(36,40),(39,43),(41,45),(42,46),(49,53),(50,54),(52,56),(55,59),(57,61),(58,62)]
[(0,16),(1,33),(2,34),(3,19),(4,36),(5,9),(6,10),(7,39),(8,40),(11,43),(12,28),(13,45),(14,46),(15,31),(17,49),(18,50),(20,52),(21,25),(22,26),(23,55),(24,56),(27,59),(29,61),(30,62),(32,48),(35,51),(37,41),(38,42),(44,60),(53,57),(54,58)]
[(1,17),(2,18),(4,20),(5,37),(6,38),(7,23),(8,24),(9,41),(10,42),(11,27),(13,29),(14,30),(19,35),(21,53),(22,54),(25,57),(26,58),(28,44),(33,49),(34,50),(36,52),(39,55),(40,56),(43,59),(45,61),(46,62)]
[(3,36),(5,21),(6,22),(9,25),(10,26),(16,19),(17,33),(18,34),(23,39),(24,40),(27,60),(29,45),(30,46),(37,53),(38,54),(41,57),(42,58),(44,47)]
[(2,57),(6,61),(7,34),(9,48),(10,28),(12,18),(14,23),(15,54),(20,36),(21,37),(22,38),(24,33),(25,41),(26,42),(27,43),(29,56),(30,39),(35,53),(40,49),(45,51)]
[(6,33),(11,38),(13,22),(15,27),(19,37),(25,52),(26,44),(30,57),(36,48),(41,50)]
[(7,25),(10,19),(11,29),(13,40),(14,41),(15,30),(22,49),(23,50),(26,35),(27,32),(28,37),(31,36),(33,48),(34,52),(38,56),(44,53)]
[(8,25),(11,33),(14,26),(15,45),(18,48),(19,40),(23,44),(28,34),(29,35),(30,52),(37,49),(38,55)]
[(14,31),(18,21),(19,28),(22,34),(23,38),(25,40),(26,33),(29,41),(30,37),(32,49),(35,44),(42,45)]
[(15,30),(21,31),(22,25),(23,29),(32,42),(33,48),(34,40),(38,41)]
[(23,34),(25,28),(29,40),(30,32),(31,33),(35,38)]
[(15,33),(23,31),(30,48),(32,40)]
[(15,28),(26,31),(29,33),(30,34),(32,37),(35,48)]
[(28,30),(29,31),(32,34),(33,35)]
[(30,32),(31,33)]
[(30,31),(32,33)]
[(31,32)]

Constructed from N+1 case
Auto generated
Median selection network for 63 inputs, 357 CEs, 20 layers (cost=652):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59),(60,61)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55),(56,58),(57,59),(60,62)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54),(56,60),(57,58),(61,62)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,24),(17,21),(18,22),(19,27),(20,28),(23,31),(25,29),(26,30),(32,40),(33,37),(34,38),(35,43),(36,44),(39,47),(41,45),(42,46),(48,56),(49,53),(50,54),(51,59),(52,60),(57,61),(58,62)]
[(0,16),(1,9),(2,10),(3,19),(4,20),(5,13),(6,14),(7,23),(8,24),(11,27),(12,28),(15,31),(17,25),(18,26),(21,29),(22,30),(32,48),(33,41),(34,42),(35,51),(36,52),(37,45),(38,46),(39,55),(40,56),(43,59),(44,60),(49,57),(50,58),(53,61),(54,62)]
[(0,32),(1,17),(2,18),(3,35),(4,48),(5,21),(6,22),(7,51),(8,40),(9,25),(10,26),(11,43),(12,56),(13,29),(14,30),(15,59),(16,36),(19,39),(20,52),(23,55),(24,44),(27,47),(28,60),(33,49),(34,50),(37,53),(38,54),(41,57),(42,58),(45,61),(46,62)]
[(1,33),(2,34),(5,49),(6,50),(7,35),(8,16),(9,41),(10,42),(11,19),(12,20),(13,57),(14,58),(15,23),(17,37),(18,38),(21,53),(22,54),(24,36),(25,45),(26,46),(27,39),(28,56),(29,61),(30,62),(40,48),(43,51),(44,52),(47,55)]
[(5,33),(6,34),(7,11),(9,17),(10,18),(12,36),(13,21),(14,22),(15,39),(16,32),(19,35),(20,40),(23,43),(24,48),(25,37),(26,38),(27,51),(28,44),(29,57),(30,58),(31,47),(41,49),(42,50),(45,53),(46,54),(52,56)]
[(4,10),(11,19),(12,32),(13,37),(14,38),(15,35),(17,33),(18,34),(20,24),(21,41),(22,42),(23,27),(25,49),(26,50),(28,48),(29,45),(30,46),(31,51),(36,40),(39,43),(44,52),(53,59)]
[(2,32),(6,10),(13,33),(14,26),(15,23),(21,25),(22,34),(27,35),(28,36),(29,41),(30,50),(31,61),(37,49),(38,42),(40,48),(53,57)]
[(7,37),(10,18),(13,21),(14,22),(15,19),(23,27),(24,32),(25,33),(26,56),(30,38),(31,39),(36,40),(41,49),(42,50),(44,48),(45,53)]
[(3,33),(6,36),(10,40),(11,41),(14,44),(15,45),(18,48),(19,49),(22,52),(23,53),(26,34),(27,57),(29,37),(30,60)]
[(3,32),(7,22),(11,25),(15,29),(19,33),(21,36),(23,37),(26,40),(27,42),(30,44),(31,60),(34,48),(38,52),(41,56)]
[(15,30),(18,32),(19,25),(22,36),(23,29),(27,41),(31,45),(33,48),(34,40),(38,44)]
[(19,34),(23,38),(25,40),(26,32),(27,33),(29,44),(30,36),(31,37)]
[(23,30),(27,34),(28,32),(29,36),(31,35),(33,40)]
[(25,32),(29,33),(30,34),(31,38)]
[(27,29),(30,32),(31,33),(34,36)]
[(29,32),(31,34)]
[(31,32)]

Constructed from N+1 case
Auto generated
Median selection network for 64 inputs, 337 CEs, 23 layers (cost=612):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55),(56,58),(57,59),(60,62),(61,63)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59),(60,61),(62,63)]
[(0,8),(1,2),(3,11),(4,12),(5,6),(7,15),(9,10),(13,14),(16,24),(17,18),(19,27),(20,28),(21,22),(23,31),(25,26),(29,30),(32,40),(33,34),(35,43),(36,44),(37,38),(39,47),(41,42),(45,46),(48,56),(49,50),(51,59),(52,60),(53,54),(55,63),(57,58),(61,62)]
[(0,4),(1,9),(2,10),(3,7),(5,13),(6,14),(8,12),(11,15),(16,20),(17,25),(18,26),(19,23),(21,29),(22,30),(24,28),(27,31),(32,36),(33,41),(34,42),(35,39),(37,45),(38,46),(40,44),(43,47),(48,52),(49,57),(50,58),(51,55),(53,61),(54,62),(56,60),(59,63)]
[(0,32),(1,5),(2,6),(3,35),(4,8),(7,11),(9,13),(10,14),(12,44),(15,47),(16,48),(17,21),(18,22),(19,51),(20,24),(23,27),(25,29),(26,30),(28,60),(31,63),(33,37),(34,38),(36,40),(39,43),(41,45),(42,46),(49,53),(50,54),(52,56),(55,59),(57,61),(58,62)]
[(0,16),(1,33),(2,34),(3,19),(4,36),(5,9),(6,10),(7,39),(8,40),(11,43),(12,28),(13,45),(14,46),(15,31),(17,49),(18,50),(20,52),(21,25),(22,26),(23,55),(24,56),(27,59),(29,61),(30,62),(32,48),(35,51),(37,41),(38,42),(44,60),(47,63),(53,57),(54,58)]
[(1,17),(2,18),(4,20),(5,37),(6,38),(7,23),(8,24),(9,41),(10,42),(11,27),(13,29),(14,30),(16,32),(19,35),(21,53),(22,54),(25,57),(26,58),(28,44),(31,47),(33,49),(34,50),(36,52),(39,55),(40,56),(43,59),(45,61),(46,62)]
[(5,21),(6,22),(8,34),(9,25),(10,26),(12,33),(20,36),(23,39),(24,40),(27,43),(29,55),(30,51),(37,53),(38,54),(41,57),(42,58)]
[(3,24),(6,48),(9,36),(10,19),(14,23),(15,57),(18,34),(21,37),(22,38),(25,41),(26,42),(27,54),(29,45),(39,60),(40,49),(44,53)]
[(7,25),(11,29),(13,22),(15,39),(18,36),(24,48),(26,35),(27,45),(28,37),(34,52),(38,56),(41,50)]
[(7,34),(10,28),(11,38),(13,40),(14,41),(19,37),(22,49),(23,50),(24,33),(25,52),(26,44),(29,56),(30,39),(35,53)]
[(11,48),(14,26),(15,52),(17,33),(19,40),(22,28),(23,44),(30,46),(35,41),(37,49)]
[(2,19),(11,36),(23,38),(25,40),(26,33),(27,52),(28,34),(29,35),(30,37),(44,61)]
[(15,30),(22,25),(23,29),(26,36),(27,37),(33,48),(34,40),(38,41)]
[(15,48),(19,25),(21,33),(27,32),(30,42),(31,36),(38,44)]
[(25,28),(30,32),(31,33),(35,38)]
[(14,31),(15,33),(30,48),(32,49)]
[(15,23),(40,48)]
[(23,34),(29,40)]
[(23,31),(29,33),(30,34),(32,40)]
[(28,30),(29,31),(32,34),(33,35)]
[(30,31),(32,33)]
[(30,32),(31,33)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 64 inputs, 338 CEs, 20 layers (cost=614):

[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55),(56,58),(57,59),(60,62),(61,63)]
[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59),(60,61),(62,63)]
[(0,8),(1,2),(3,11),(4,12),(5,6),(7,15),(9,10),(13,14),(16,24),(17,18),(19,27),(20,28),(21,22),(23,31),(25,26),(29,30),(32,40),(33,34),(35,43),(36,44),(37,38),(39,47),(41,42),(45,46),(48,56),(49,50),(51,59),(52,60),(53,54),(55,63),(57,58),(61,62)]
[(0,4),(1,9),(2,10),(3,7),(5,13),(6,14),(8,12),(11,15),(16,20),(17,25),(18,26),(19,23),(21,29),(22,30),(24,28),(27,31),(32,36),(33,41),(34,42),(35,39),(37,45),(38,46),(40,44),(43,47),(48,52),(49,57),(50,58),(51,55),(53,61),(54,62),(56,60),(59,63)]
[(0,32),(1,5),(2,6),(3,35),(4,8),(7,11),(9,13),(10,14),(12,44),(15,47),(16,48),(17,21),(18,22),(19,51),(20,24),(23,27),(25,29),(26,30),(28,60),(31,63),(33,37),(34,38),(36,40),(39,43),(41,45),(42,46),(49,53),(50,54),(52,56),(55,59),(57,61),(58,62)]
[(0,16),(1,33),(2,34),(3,19),(4,36),(5,9),(6,10),(7,39),(8,40),(11,43),(12,28),(13,45),(14,46),(15,31),(17,49),(18,50),(20,52),(21,25),(22,26),(23,55),(24,56),(27,59),(29,61),(30,62),(32,48),(35,51),(37,41),(38,42),(44,60),(47,63),(53,57),(54,58)]
[(1,17),(2,18),(4,20),(5,37),(6,38),(7,23),(8,24),(9,41),(10,42),(11,27),(13,29),(14,30),(19,35),(21,53),(22,54),(25,57),(26,58),(28,44),(33,49),(34,50),(36,52),(39,55),(40,56),(43,59),(45,61),(46,62)]
[(3,36),(5,21),(6,22),(9,25),(10,26),(16,19),(17,33),(18,34),(23,39),(24,40),(27,60),(29,45),(30,46),(37,53),(38,54),(41,57),(42,58),(44,47)]
[(2,57),(6,61),(7,34),(9,48),(10,28),(12,18),(14,23),(15,54),(20,36),(21,37),(22,38),(24,33),(25,41),(26,42),(27,43),(29,56),(30,39),(35,53),(40,49),(45,51)]
[(6,33),(11,38),(13,22),(15,27),(19,37),(25,52),(26,44),(30,57),(36,48),(41,50)]
[(7,25),(10,19),(11,29),(13,40),(14,41),(15,30),(22,49),(23,50),(26,35),(27,32),(28,37),(31,36),(33,48),(34,52),(38,56),(44,53)]
[(8,25),(11,33),(14,26),(15,45),(18,48),(19,40),(23,44),(28,34),(29,35),(30,52),(37,49),(38,55)]
[(14,31),(18,21),(19,28),(22,34),(23,38),(25,40),(26,33),(29,41),(30,37),(32,49),(35,44),(42,45)]
[(15,30),(21,31),(22,25),(23,29),(32,42),(33,48),(34,40),(38,41)]
[(23,34),(25,28),(29,40),(30,32),(31,33),(35,38)]
[(15,33),(23,31),(30,48),(32,40)]
[(15,28),(26,31),(29,33),(30,34),(32,37),(35,48)]
[(28,30),(29,31),(32,34),(33,35)]
[(30,32),(31,33)]
[(30,31),(32,33)]

+ two-input averager (not displayed)
Auto generated
Median selection network for 64 inputs, 362 CEs, 19 layers (cost=662):

[(0,1),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19),(20,21),(22,23),(24,25),(26,27),(28,29),(30,31),(32,33),(34,35),(36,37),(38,39),(40,41),(42,43),(44,45),(46,47),(48,49),(50,51),(52,53),(54,55),(56,57),(58,59),(60,61),(62,63)]
[(0,2),(1,3),(4,6),(5,7),(8,10),(9,11),(12,14),(13,15),(16,18),(17,19),(20,22),(21,23),(24,26),(25,27),(28,30),(29,31),(32,34),(33,35),(36,38),(37,39),(40,42),(41,43),(44,46),(45,47),(48,50),(49,51),(52,54),(53,55),(56,58),(57,59),(60,62),(61,63)]
[(0,4),(1,2),(3,7),(5,6),(8,12),(9,10),(11,15),(13,14),(16,20),(17,18),(19,23),(21,22),(24,28),(25,26),(27,31),(29,30),(32,36),(33,34),(35,39),(37,38),(40,44),(41,42),(43,47),(45,46),(48,52),(49,50),(51,55),(53,54),(56,60),(57,58),(59,63),(61,62)]
[(0,8),(1,5),(2,6),(3,11),(4,12),(7,15),(9,13),(10,14),(16,24),(17,21),(18,22),(19,27),(20,28),(23,31),(25,29),(26,30),(32,40),(33,37),(34,38),(35,43),(36,44),(39,47),(41,45),(42,46),(48,56),(49,53),(50,54),(51,59),(52,60),(55,63),(57,61),(58,62)]
[(0,16),(1,9),(2,10),(3,19),(4,20),(5,13),(6,14),(7,23),(8,24),(11,27),(12,28),(15,31),(17,25),(18,26),(21,29),(22,30),(32,48),(33,41),(34,42),(35,51),(36,52),(37,45),(38,46),(39,55),(40,56),(43,59),(44,60),(47,63),(49,57),(50,58),(53,61),(54,62)]
[(0,32),(1,17),(2,18),(3,35),(4,48),(5,21),(6,22),(7,51),(8,40),(9,25),(10,26),(11,43),(12,56),(13,29),(14,30),(15,59),(16,36),(19,39),(20,52),(23,55),(24,44),(27,47),(28,60),(31,63),(33,49),(34,50),(37,53),(38,54),(41,57),(42,58),(45,61),(46,62)]
[(1,33),(2,34),(5,49),(6,50),(7,35),(8,16),(9,41),(10,42),(11,19),(12,20),(13,57),(14,58),(15,23),(17,37),(18,38),(21,53),(22,54),(24,36),(25,45),(26,46),(27,39),(28,56),(29,61),(30,62),(40,48),(43,51),(44,52),(47,55)]
[(5,33),(6,34),(7,11),(9,17),(10,18),(12,36),(13,21),(14,22),(15,39),(16,32),(19,35),(20,40),(23,43),(24,48),(25,37),(26,38),(27,51),(28,44),(29,57),(30,58),(31,47),(41,49),(42,50),(45,53),(46,54),(52,56)]
[(4,10),(11,19),(12,32),(13,37),(14,38),(15,35),(17,33),(18,34),(20,24),(21,41),(22,42),(23,27),(25,49),(26,50),(28,48),(29,45),(30,46),(31,51),(36,40),(39,43),(44,52),(53,59)]
[(2,32),(6,10),(13,33),(14,26),(15,23),(21,25),(22,34),(27,35),(28,36),(29,41),(30,50),(31,61),(37,49),(38,42),(40,48),(53,57)]
[(7,37),(10,18),(13,21),(14,22),(15,19),(23,27),(24,32),(25,33),(26,56),(30,38),(31,39),(36,40),(41,49),(42,50),(44,48),(45,53)]
[(3,33),(6,36),(10,40),(11,41),(14,44),(15,45),(18,48),(19,49),(22,52),(23,53),(26,34),(27,57),(29,37),(30,60)]
[(3,32),(7,22),(11,25),(15,29),(19,33),(21,36),(23,37),(26,40),(27,42),(30,44),(31,60),(34,48),(38,52),(41,56)]
[(15,30),(18,32),(19,25),(22,36),(23,29),(27,41),(31,45),(33,48),(34,40),(38,44)]
[(19,34),(23,38),(25,40),(26,32),(27,33),(29,44),(30,36),(31,37)]
[(23,30),(27,34),(28,32),(29,36),(31,35),(33,40)]
[(25,32),(29,33),(30,34),(31,38)]
[(27,29),(30,32),(31,33),(34,36)]
[(29,32),(31,34)]

+ two-input averager (not displayed)
Auto generated

References

[Adams21]A. Adams. Fast Median Filters using Separable Sorting Networks, ACM Trans. Graph., Vol. 40, No. 4, Article 70, 2021.
[Sekan04]L. Sekanina. Evolutionary Design Space Exploration for Median Circuits. Lecture Notes in Computer Science, 2004.
[Smith96]Smith, J. I.: Implementing Median Filters in XC4000E FPGAs. Xcell 23, Xilinx, 1996.
[VS08]Z. Vasicek and L. Sekanina. Novel Hardware Implementation of Adaptive Median Filters, 11th IEEE workshop on Design and Diagnostics of Electronic Circuits and Systems, 2008.

History

2024-02-25Various size and minor improvements for networks with between 29 and 57 inputs.
2023-12-27First version covering networks up to 64 inputs.
2022-08-17Initial draft list

Page updated on Sun Feb 25 19:39:47 2024

See SorterHunter repo for previous versions.