AZsPCs - Graceful Graphs

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Graceful Graphs

This contest ended on 21 Dec 2013

Description

Submit An Entry

Standings

Final Report

The Graceful Graphs contest has ended. Congratulations to our winners:

Position	Winner		Prize
1^st	Tomas Rokicki	Palo Alto, California, United States	Any item from Bathsheba Sculpture worth up to $500
2^nd	Jarek Wroblewski	Wroclaw, Poland	Any item from Bathsheba Sculpture worth up to $100

These are the contestants who submitted the best solution for each problem. (Problems for which the best solution was found during the first 48 hours of the contest are omitted.)

Problem	Score	Solver		Date Achieved

These are the best solutions received for each problem in the contest:

Problem	Score	Solution
2 vertices	1	(0,1)
3 vertices	3	(0,1), (1,3), (0,3)
		(0,1), (0,3), (1,3)
		(0,3), (0,1), (3,1)
5 vertices	9	(1,2), (0,2), (6,9), (2,6), (1,6), (0,6), (2,9), (1,9), (0,9)
		(0,1), (0,2), (6,9), (2,6), (1,6), (0,6), (2,9), (1,9), (0,9)
		(0,1), (7,9), (4,7), (0,4), (4,9), (1,7), (0,7), (1,9), (0,9)
		(0,1), (7,9), (1,4), (0,4), (4,9), (1,7), (0,7), (1,9), (0,9)
		(0,1), (0,2), (0,6), (0,9), (1,6), (1,9), (2,6), (2,9), (6,9)
		(0,3), (0,7), (0,8), (0,9), (3,7), (3,8), (3,9), (7,8), (7,9)
		(0,1), (0,4), (0,7), (0,9), (1,4), (1,7), (1,9), (4,9), (7,9)
7 vertices	17	(2,3), (1,3), (0,3), (13,17), (8,13), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (0,2), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (0,2), (0,6), (0,10), (0,14), (0,17), (1,6), (1,10), (1,14), (1,17), (2,6), (2,10), (2,14), (2,17), (6,17), (10,17), (14,17)
		(0,1), (15,17), (8,11), (13,17), (8,13), (11,17), (1,8), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (8,11), (11,15), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (8,11), (11,15), (8,13), (11,17), (1,8), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (11,13), (8,11), (11,15), (8,13), (11,17), (1,8), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (13,15), (8,11), (13,17), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (12,14), (14,17), (8,12), (12,17), (8,14), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (0,2), (0,8), (0,12), (0,15), (0,17), (1,8), (1,12), (1,15), (1,17), (2,8), (2,12), (2,15), (8,12), (8,17), (12,15), (12,17)
		(0,1), (0,2), (14,17), (2,6), (1,6), (0,6), (10,17), (2,10), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (1,3), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (0,2), (0,3), (0,8), (0,13), (0,17), (1,8), (1,13), (1,17), (2,8), (2,13), (2,17), (3,8), (3,13), (3,17), (8,17), (13,17)
		(0,1), (0,2), (0,3), (13,17), (8,13), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(1,2), (0,2), (14,17), (10,14), (1,6), (0,6), (10,17), (6,14), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (0,8), (0,11), (0,13), (0,15), (0,17), (1,8), (1,11), (1,13), (1,15), (1,17), (8,11), (8,13), (8,17), (11,13), (11,15), (11,17)
		(0,1), (10,12), (1,4), (0,4), (10,15), (4,10), (10,17), (4,12), (1,10), (0,10), (1,12), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,1), (0,2), (14,17), (10,14), (1,6), (0,6), (10,17), (6,14), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,4), (0,9), (0,14), (0,15), (0,16), (0,17), (4,9), (4,14), (4,15), (4,16), (4,17), (9,15), (9,16), (9,17), (14,15), (14,16), (14,17)
		(0,3), (0,7), (0,11), (0,15), (0,16), (0,17), (3,7), (3,11), (3,15), (3,16), (3,17), (7,16), (7,17), (11,16), (11,17), (15,16), (15,17)
		(0,1), (0,2), (14,17), (8,12), (12,17), (2,8), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (0,2), (12,15), (8,12), (12,17), (2,8), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (2,15), (1,15), (0,15), (1,17), (0,17)
		(1,2), (0,2), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (11,13), (8,11), (11,15), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (13,15), (8,11), (11,15), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(2,3), (0,2), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (0,2), (14,17), (8,12), (12,17), (8,14), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (1,14), (0,14), (2,17), (1,17), (0,17)
		(1,2), (1,3), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (0,2), (14,17), (10,14), (1,6), (0,6), (10,17), (2,10), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (10,12), (1,4), (0,4), (10,15), (4,10), (10,17), (4,12), (1,10), (0,10), (4,15), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,4), (0,15), (0,1), (0,10), (0,12), (0,17), (4,15), (4,1), (4,10), (4,12), (4,17), (15,1), (15,10), (15,17), (1,10), (1,17), (10,17)
		(0,1), (0,17), (0,14), (0,12), (0,8), (0,2), (1,17), (1,14), (1,12), (1,8), (17,14), (17,12), (17,8), (17,2), (14,8), (12,8), (12,2)
		(0,1), (15,17), (1,4), (0,4), (12,17), (4,10), (10,17), (4,12), (1,10), (0,10), (1,12), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (1,4), (0,4), (10,15), (4,10), (10,17), (4,12), (1,10), (0,10), (1,12), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (1,4), (0,4), (10,15), (4,10), (10,17), (4,12), (1,10), (0,10), (4,15), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (1,4), (0,4), (12,17), (4,10), (10,17), (4,12), (1,10), (0,10), (4,15), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(1,2), (15,17), (12,15), (8,12), (12,17), (2,8), (8,15), (0,8), (8,17), (2,12), (1,12), (0,12), (2,15), (1,15), (2,17), (1,17), (0,17)
		(0,1), (12,14), (14,17), (8,12), (12,17), (8,14), (1,8), (0,8), (8,17), (2,12), (1,12), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (12,14), (14,17), (8,12), (12,17), (2,8), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (11,13), (8,11), (13,17), (8,13), (11,17), (1,8), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (8,11), (13,17), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (12,15), (8,12), (12,17), (2,8), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (2,15), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (12,15), (0,4), (12,17), (4,10), (10,17), (4,12), (1,10), (0,10), (4,15), (0,12), (4,17), (1,15), (0,15), (1,17), (0,17)
		(0,1), (15,17), (12,15), (8,12), (12,17), (2,8), (8,15), (0,8), (8,17), (2,12), (1,12), (0,12), (2,15), (1,15), (2,17), (1,17), (0,17)
		(1,2), (0,2), (14,17), (2,6), (1,6), (0,6), (10,17), (2,10), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(0,1), (13,15), (8,11), (11,15), (8,13), (11,17), (1,8), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (11,13), (8,11), (13,17), (8,13), (11,17), (8,15), (0,8), (8,17), (1,11), (0,11), (1,13), (0,13), (1,15), (0,15), (1,17), (0,17)
		(0,1), (0,2), (12,15), (8,12), (12,17), (2,8), (8,15), (0,8), (8,17), (2,12), (1,12), (0,12), (2,15), (1,15), (0,15), (1,17), (0,17)
		(1,2), (12,14), (14,17), (8,12), (12,17), (2,8), (1,8), (0,8), (8,17), (2,12), (1,12), (0,12), (1,14), (0,14), (2,17), (1,17), (0,17)
		(2,3), (1,3), (0,3), (13,17), (3,8), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(0,1), (1,3), (0,3), (13,17), (8,13), (2,8), (1,8), (0,8), (8,17), (3,13), (2,13), (1,13), (0,13), (3,17), (2,17), (1,17), (0,17)
		(1,2), (0,2), (14,17), (6,10), (1,6), (0,6), (10,17), (2,10), (1,10), (0,10), (6,17), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
		(1,2), (12,14), (14,17), (8,12), (12,17), (8,14), (1,8), (0,8), (8,17), (2,12), (1,12), (2,14), (1,14), (0,14), (2,17), (1,17), (0,17)
11 vertices	43	(0,1), (40,42), (40,43), (1,5), (0,5), (37,43), (16,23), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (16,30), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (16,37), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (0,37), (5,43), (1,40), (0,40), (1,42), (0,42), (0,43)
		(0,1), (1,3), (0,3), (34,38), (1,6), (0,6), (6,13), (34,42), (34,43), (3,13), (27,38), (1,13), (0,13), (6,20), (27,42), (27,43), (3,20), (20,38), (1,20), (0,20), (6,27), (20,42), (20,43), (3,27), (13,38), (1,27), (0,27), (6,34), (13,42), (13,43), (3,34), (6,38), (1,34), (0,34), (3,38), (6,42), (1,38), (0,38), (3,42), (3,43), (1,42), (0,42), (0,43)
		(0,1), (40,42), (40,43), (1,5), (0,5), (37,43), (30,37), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (9,23), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (9,30), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (0,37), (5,43), (1,40), (0,40), (1,42), (0,42), (0,43)
		(0,1), (1,3), (0,3), (38,42), (38,43), (0,6), (6,13), (34,42), (34,43), (3,13), (27,38), (1,13), (0,13), (6,20), (27,42), (27,43), (3,20), (20,38), (1,20), (0,20), (6,27), (20,42), (20,43), (3,27), (13,38), (1,27), (0,27), (6,34), (13,42), (13,43), (3,34), (6,38), (1,34), (0,34), (3,38), (6,42), (6,43), (0,38), (3,42), (3,43), (1,42), (0,42), (0,43)
		(0,1), (40,42), (40,43), (5,9), (0,5), (37,43), (30,37), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (23,37), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (16,37), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (0,37), (5,43), (1,40), (0,40), (1,42), (0,42), (0,43)
		(0,1), (40,42), (40,43), (1,5), (0,5), (37,43), (9,16), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (16,30), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (16,37), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (5,42), (5,43), (1,40), (0,40), (1,42), (1,43), (0,43)
		(0,1), (40,42), (37,40), (1,5), (0,5), (37,43), (9,16), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (9,23), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (9,30), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (0,37), (5,43), (1,40), (0,40), (1,42), (0,42), (0,43)
		(0,1), (1,3), (3,6), (38,42), (1,6), (0,6), (6,13), (34,42), (34,43), (3,13), (27,38), (1,13), (0,13), (6,20), (27,42), (27,43), (3,20), (20,38), (1,20), (0,20), (6,27), (20,42), (20,43), (3,27), (13,38), (1,27), (0,27), (6,34), (13,42), (13,43), (3,34), (6,38), (1,34), (0,34), (3,38), (6,42), (1,38), (0,38), (3,42), (3,43), (1,42), (0,42), (0,43)
		(0,1), (0,3), (0,6), (0,13), (0,20), (0,27), (0,34), (0,38), (0,42), (0,43), (1,3), (1,6), (1,13), (1,20), (1,27), (1,34), (1,38), (1,42), (3,13), (3,20), (3,27), (3,34), (3,38), (3,42), (3,43), (6,13), (6,20), (6,27), (6,34), (6,38), (6,42), (13,38), (13,42), (13,43), (20,38), (20,42), (20,43), (27,38), (27,42), (27,43), (34,38), (34,42), (34,43)
		(0,1), (40,42), (37,40), (1,5), (0,5), (37,43), (9,16), (1,9), (0,9), (30,40), (5,16), (30,42), (30,43), (9,23), (1,16), (0,16), (23,40), (5,23), (23,42), (23,43), (9,30), (1,23), (0,23), (16,40), (5,30), (16,42), (16,43), (9,37), (1,30), (0,30), (9,40), (5,37), (9,42), (9,43), (5,40), (1,37), (5,42), (5,43), (1,40), (0,40), (1,42), (0,42), (0,43)
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		(0,1), (0,2), (0,3), (0,4), (0,5), (0,6), (6,13), (5,13), (4,13), (3,13), (2,13), (1,13), (0,13), (539,553), (553,568), (553,569), (553,570), (553,571), (553,572), (6,26), (5,26), (4,26), (3,26), (2,26), (1,26), (0,26), (145,172), (539,567), (539,568), (539,569), (539,570), (539,571), (6,39), (5,39), (4,39), (3,39), (2,39), (1,39), (0,39), (78,118), (442,483), (497,539), (525,568), (525,569), (525,570), (6,52), (5,52), (4,52), (3,52), (2,52), (1,52), (0,52), (65,118), (145,199), (442,497), (483,539), (511,568), (511,569), (6,65), (5,65), (4,65), (3,65), (2,65), (1,65), (0,65), (52,118), (78,145), (415,483), (442,511), (469,539), (497,568), (6,78), (5,78), (4,78), (3,78), (2,78), (1,78), (0,78), (39,118), (65,145), (145,226), (415,497), (442,525), (469,553), (6,91), (5,91), (4,91), (3,91), (2,91), (1,91), (0,91), (26,118), (52,145), (78,172), (388,483), (415,511), (442,539), (469,567), (469,568), (469,569), (469,570), (469,571), (469,572), (469,573), (13,118), (39,145), (65,172), 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		(2,3), (571,573), (570,573), (1,5), (567,572), (567,573), (560,567), (560,568), (560,569), (560,570), (560,571), (560,572), (521,534), (34,48), (5,20), (4,20), (3,20), (2,20), (1,20), (547,567), (547,568), (547,569), (547,570), (547,571), (547,572), (482,508), (266,293), (48,76), (5,34), (4,34), (3,34), (2,34), (1,34), (534,568), (534,569), (534,570), (534,571), (534,572), (521,560), (455,495), (90,131), (48,90), (5,48), (4,48), (3,48), (2,48), (521,568), (521,569), (521,570), (521,571), (521,572), (482,534), (455,508), (401,455), (76,131), (20,76), (5,62), (4,62), (3,62), (2,62), (508,569), (508,570), (508,571), (508,572), (482,547), (455,521), (428,495), (90,158), (62,131), (34,104), (5,76), (495,567), (3,76), (495,569), (1,76), (495,571), (495,572), (495,573), (455,534), (428,508), (374,455), (76,158), (48,131), (20,104), (482,567), (482,568), (482,569), (2,90), (482,571), (482,572), (482,573), (455,547), (428,521), (401,495), (90,185), (62,158), (34,131), (6,104), (5,104), 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(374,571), (374,572), (374,573), (347,547), (320,521), (293,495), (90,293), (62,266), (34,239), (6,212), (5,212), (4,212), (3,212), (2,212), (1,212), (0,212), (347,560), (320,534), (293,508), (266,482), (76,293), (48,266), (20,239), (347,567), (347,568), (347,569), (347,570), (347,571), (347,572), (347,573), (320,547), (293,521), (266,495), (90,320), (62,293), (34,266), (6,239), (5,239), (4,239), (3,239), (2,239), (1,239), (0,239), (320,560), (293,534), (266,508), (131,374), (76,320), (48,293), (20,266), (320,567), (320,568), (320,569), (320,570), (320,571), (320,572), (320,573), (293,547), (266,521), (239,495), (90,347), (62,320), (34,293), (6,266), (5,266), (4,266), (3,266), (2,266), (1,266), (0,266), (293,560), (266,534), (239,508), (185,455), (76,347), (48,320), (20,293), (293,567), (293,568), (293,569), (293,570), (293,571), (293,572), (293,573), (266,547), (239,521), (212,495), (90,374), (62,347), (34,320), (6,293), (5,293), (4,293), (3,293), (2,293), (1,293), (0,293), (266,560), 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43 vertices	627	(5,6), (4,6), (2,5), (623,627), (1,6), (0,6), (614,621), (614,622), (614,623), (614,624), (614,625), (614,626), (601,614), (62,76), (5,20), (4,20), (3,20), (2,20), (1,20), (601,621), (601,622), (601,623), (601,624), (601,625), (601,626), (536,562), (158,185), (48,76), (5,34), (4,34), (3,34), (2,34), (1,34), (0,34), (588,623), (588,624), (588,625), (588,626), (575,614), (509,549), (90,131), (62,104), (5,48), (4,48), (3,48), (575,621), (1,48), (575,623), (575,624), (575,625), (575,626), (549,601), (509,562), (428,482), (76,131), (20,76), (5,62), (4,62), (3,62), (562,622), (562,623), (0,62), (562,625), (562,626), (536,601), (509,575), (482,549), (90,158), (62,131), (34,104), (5,76), (4,76), (3,76), (2,76), (1,76), (0,76), (549,626), (549,627), (509,588), (482,562), (239,320), (76,158), (48,131), (20,104), (536,621), (4,90), (3,90), (536,624), (1,90), (0,90), (536,627), (509,601), (482,575), (455,549), (90,185), (62,158), (34,131), (6,104), (5,104), (4,104), (3,104), 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		(0,1), (0,2), (0,3), (0,4), (0,5), (0,6), (0,13), (0,26), (0,39), (0,52), (0,65), (0,78), (0,91), (0,118), (0,145), (0,172), (0,199), (0,226), (0,253), (0,280), (0,307), (0,334), (0,361), (0,388), (0,415), (0,442), (0,469), (0,496), (0,523), (0,537), (0,551), (0,565), (0,579), (0,593), (0,607), (0,621), (0,622), (0,623), (0,624), (0,625), (0,626), (0,627), (1,13), (1,26), (1,39), (1,52), (1,65), (1,78), (1,91), (1,118), (1,145), (1,172), (1,199), (1,226), (1,253), (1,280), (1,307), (1,334), (1,361), (1,388), (1,415), (1,442), (1,469), (1,496), (1,523), (1,537), (1,551), (1,565), (1,579), (1,593), (1,607), (1,621), (2,13), (2,26), (2,39), (2,52), (2,65), (2,78), (2,91), (2,118), (2,145), (2,172), (2,199), (2,226), (2,253), (2,280), (2,307), (2,334), (2,361), (2,388), (2,415), (2,442), (2,469), (2,496), (2,523), (2,537), (2,551), (2,565), (2,579), (2,593), (2,607), (2,621), (3,13), (3,26), (3,39), (3,52), (3,65), (3,78), (3,91), (3,118), (3,145), (3,172), (3,199), (3,226), (3,253), 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(49,1065), (29,1046), (9,1027), (8,1027), (7,1027), (6,1027), (5,1027), (4,1027), (3,1027), (2,1027), (1,1027), (0,1027), (149,1177), (149,1178), (149,1179), (129,1160), (109,1141), (89,1122), (69,1103), (49,1084), (29,1065), (9,1046), (8,1046), (7,1046), (6,1046), (5,1046), (4,1046), (3,1046), (2,1046), (1,1046), (0,1046), (129,1176), (129,1177), (129,1178), (129,1179), (109,1160), (89,1141), (69,1122), (49,1103), (29,1084), (9,1065), (8,1065), (7,1065), (6,1065), (5,1065), (4,1065), (3,1065), (2,1065), (1,1065), (0,1065), (109,1175), (109,1176), (109,1177), (109,1178), (109,1179), (89,1160), (69,1141), (49,1122), (29,1103), (9,1084), (8,1084), (7,1084), (6,1084), (5,1084), (4,1084), (3,1084), (2,1084), (1,1084), (0,1084), (89,1174), (89,1175), (89,1176), (89,1177), (89,1178), (89,1179), (69,1160), (49,1141), (29,1122), (9,1103), (8,1103), (7,1103), (6,1103), (5,1103), (4,1103), (3,1103), (2,1103), (1,1103), (0,1103), (69,1173), (69,1174), (69,1175), (69,1176), (69,1177), (69,1178), 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