Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 97, 98, 2 ]
83
[ "9-2=7", "98/7=14", "97-14=83" ]
Current State: 83:[9, 97, 98, 2], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [97, 98, 7] Generated Node #2: [97, 98, 7] from Operation: 9-2=7 Current State: 83:[97, 98, 7], Operations: ['9-2=7'] Exploring Operation: 98/7=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 98/7=14 Current State: 83:[97, 14], Operations: ['9-2=7', '98/7=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 88, 40, 80 ]
40
[ "45-40=5", "88-80=8", "5*8=40" ]
Current State: 40:[45, 88, 40, 80], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [88, 80, 5] Generated Node #2: [88, 80, 5] from Operation: 45-40=5 Current State: 40:[88, 80, 5], Operations: ['45-40=5'] Exploring Operation: 88-80=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 88-80=8 Current State: 40:[5, 8], Operations: ['45-40=5', '88-80=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 24, 12, 34 ]
55
[ "23+34=57", "24/12=2", "57-2=55" ]
Current State: 55:[23, 24, 12, 34], Operations: [] Exploring Operation: 23+34=57, Resulting Numbers: [24, 12, 57] Generated Node #2: [24, 12, 57] from Operation: 23+34=57 Current State: 55:[24, 12, 57], Operations: ['23+34=57'] Exploring Operation: 24/12=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 24/12=2 Current State: 55:[57, 2], Operations: ['23+34=57', '24/12=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 66, 31, 95, 91 ]
46
[ "31*95=2945", "91+2945=3036", "3036/66=46" ]
Current State: 46:[66, 31, 95, 91], Operations: [] Exploring Operation: 31*95=2945, Resulting Numbers: [66, 91, 2945] Generated Node #2: [66, 91, 2945] from Operation: 31*95=2945 Current State: 46:[66, 91, 2945], Operations: ['31*95=2945'] Exploring Operation: 91+2945=3036, Resulting Numbers: [66, 3036] Generated Node #3: [66, 3036] from Operation: 91+2945=3036 Current State: 46:[66, 3036], Operations: ['31*95=2945', '91+2945=3036'] Exploring Operation: 3036/66=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 15, 74, 12 ]
10
[ "15-12=3", "28*3=84", "84-74=10" ]
Current State: 10:[28, 15, 74, 12], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [28, 74, 3] Generated Node #2: [28, 74, 3] from Operation: 15-12=3 Current State: 10:[28, 74, 3], Operations: ['15-12=3'] Exploring Operation: 28*3=84, Resulting Numbers: [74, 84] Generated Node #3: [74, 84] from Operation: 28*3=84 Current State: 10:[74, 84], Operations: ['15-12=3', '28*3=84'] Exploring Operation: 84-74=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 67, 42, 16 ]
31
[ "72-67=5", "42-16=26", "5+26=31" ]
Current State: 31:[72, 67, 42, 16], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [42, 16, 5] Generated Node #2: [42, 16, 5] from Operation: 72-67=5 Current State: 31:[42, 16, 5], Operations: ['72-67=5'] Exploring Operation: 42-16=26, Resulting Numbers: [5, 26] Generated Node #3: [5, 26] from Operation: 42-16=26 Current State: 31:[5, 26], Operations: ['72-67=5', '42-16=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 44, 6, 26 ]
64
[ "44-26=18", "6*18=108", "108-44=64" ]
Current State: 64:[44, 44, 6, 26], Operations: [] Exploring Operation: 44-26=18, Resulting Numbers: [6, 18] Generated Node #2: [6, 18] from Operation: 44-26=18 Current State: 64:[6, 18], Operations: ['44-26=18'] Exploring Operation: 6*18=108, Resulting Numbers: [108] 108,64 equal: Goal Reached Exploring Operation: 108-44=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 9, 92, 1, 1 ]
83
[ "92-9=83", "1*1=1", "83*1=83" ]
Current State: 83:[9, 92, 1, 1], Operations: [] Exploring Operation: 92-9=83, Resulting Numbers: [1, 1, 83] Generated Node #2: [1, 1, 83] from Operation: 92-9=83 Current State: 83:[1, 1, 83], Operations: ['92-9=83'] Exploring Operation: 1*1=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 1*1=1 Current State: 83:[83, 1], Operations: ['92-9=83', '1*1=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 82, 18, 21, 66 ]
90
[ "82*18=1476", "21*66=1386", "1476-1386=90" ]
Current State: 90:[82, 18, 21, 66], Operations: [] Exploring Operation: 82*18=1476, Resulting Numbers: [21, 66, 1476] Generated Node #2: [21, 66, 1476] from Operation: 82*18=1476 Current State: 90:[21, 66, 1476], Operations: ['82*18=1476'] Exploring Operation: 21*66=1386, Resulting Numbers: [1476, 1386] Generated Node #3: [1476, 1386] from Operation: 21*66=1386 Current State: 90:[1476, 1386], Operations: ['82*18=1476', '21*66=1386'] Exploring Operation: 1476-1386=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 9, 52, 4, 36 ]
53
[ "9*4=36", "36/36=1", "52+1=53" ]
Current State: 53:[9, 52, 4, 36], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [52, 36, 36] Generated Node #2: [52, 36, 36] from Operation: 9*4=36 Current State: 53:[52, 36, 36], Operations: ['9*4=36'] Exploring Operation: 36/36=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 36/36=1 Current State: 53:[52, 1], Operations: ['9*4=36', '36/36=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 16, 92, 23, 5 ]
69
[ "16*92=1472", "1472/23=64", "5+64=69" ]
Current State: 69:[16, 92, 23, 5], Operations: [] Exploring Operation: 16*92=1472, Resulting Numbers: [23, 5, 1472] Generated Node #2: [23, 5, 1472] from Operation: 16*92=1472 Current State: 69:[23, 5, 1472], Operations: ['16*92=1472'] Exploring Operation: 1472/23=64, Resulting Numbers: [5, 64] Generated Node #3: [5, 64] from Operation: 1472/23=64 Current State: 69:[5, 64], Operations: ['16*92=1472', '1472/23=64'] Exploring Operation: 5+64=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 82, 77, 81, 72 ]
14
[ "82-77=5", "81-72=9", "5+9=14" ]
Current State: 14:[82, 77, 81, 72], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [81, 72, 5] Generated Node #2: [81, 72, 5] from Operation: 82-77=5 Current State: 14:[81, 72, 5], Operations: ['82-77=5'] Exploring Operation: 81-72=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 81-72=9 Current State: 14:[5, 9], Operations: ['82-77=5', '81-72=9'] Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 70, 56, 22, 98 ]
18
[ "70*56=3920", "3920/98=40", "40-22=18" ]
Current State: 18:[70, 56, 22, 98], Operations: [] Exploring Operation: 70*56=3920, Resulting Numbers: [22, 98, 3920] Generated Node #2: [22, 98, 3920] from Operation: 70*56=3920 Current State: 18:[22, 98, 3920], Operations: ['70*56=3920'] Exploring Operation: 3920/98=40, Resulting Numbers: [22, 40] Generated Node #3: [22, 40] from Operation: 3920/98=40 Current State: 18:[22, 40], Operations: ['70*56=3920', '3920/98=40'] Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 47, 31, 87, 54 ]
28
[ "87+54=141", "141/47=3", "31-3=28" ]
Current State: 28:[47, 31, 87, 54], Operations: [] Exploring Operation: 87+54=141, Resulting Numbers: [47, 31, 141] Generated Node #2: [47, 31, 141] from Operation: 87+54=141 Current State: 28:[47, 31, 141], Operations: ['87+54=141'] Exploring Operation: 141/47=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 141/47=3 Current State: 28:[31, 3], Operations: ['87+54=141', '141/47=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 68, 35, 5, 22 ]
53
[ "68+22=90", "90/5=18", "35+18=53" ]
Current State: 53:[68, 35, 5, 22], Operations: [] Exploring Operation: 68+22=90, Resulting Numbers: [35, 5, 90] Generated Node #2: [35, 5, 90] from Operation: 68+22=90 Current State: 53:[35, 5, 90], Operations: ['68+22=90'] Exploring Operation: 90/5=18, Resulting Numbers: [35, 18] Generated Node #3: [35, 18] from Operation: 90/5=18 Current State: 53:[35, 18], Operations: ['68+22=90', '90/5=18'] Exploring Operation: 35+18=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 66, 15, 65, 54 ]
90
[ "66*15=990", "65-54=11", "990/11=90" ]
Current State: 90:[66, 15, 65, 54], Operations: [] Exploring Operation: 66*15=990, Resulting Numbers: [65, 54, 990] Generated Node #2: [65, 54, 990] from Operation: 66*15=990 Current State: 90:[65, 54, 990], Operations: ['66*15=990'] Exploring Operation: 65-54=11, Resulting Numbers: [990, 11] Generated Node #3: [990, 11] from Operation: 65-54=11 Current State: 90:[990, 11], Operations: ['66*15=990', '65-54=11'] Exploring Operation: 990/11=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 70, 86, 92 ]
62
[ "70-2=68", "92-86=6", "68-6=62" ]
Current State: 62:[2, 70, 86, 92], Operations: [] Exploring Operation: 70-2=68, Resulting Numbers: [86, 92, 68] Generated Node #2: [86, 92, 68] from Operation: 70-2=68 Current State: 62:[86, 92, 68], Operations: ['70-2=68'] Exploring Operation: 92-86=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 92-86=6 Current State: 62:[68, 6], Operations: ['70-2=68', '92-86=6'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 31, 2, 40 ]
30
[ "31-6=25", "40-25=15", "2*15=30" ]
Current State: 30:[6, 31, 2, 40], Operations: [] Exploring Operation: 31-6=25, Resulting Numbers: [2, 40, 25] Generated Node #2: [2, 40, 25] from Operation: 31-6=25 Current State: 30:[2, 40, 25], Operations: ['31-6=25'] Exploring Operation: 40-25=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 40-25=15 Current State: 30:[2, 15], Operations: ['31-6=25', '40-25=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 22, 13, 41, 18 ]
82
[ "22-13=9", "41*18=738", "738/9=82" ]
Current State: 82:[22, 13, 41, 18], Operations: [] Exploring Operation: 22-13=9, Resulting Numbers: [41, 18, 9] Generated Node #2: [41, 18, 9] from Operation: 22-13=9 Current State: 82:[41, 18, 9], Operations: ['22-13=9'] Exploring Operation: 41*18=738, Resulting Numbers: [9, 738] Generated Node #3: [9, 738] from Operation: 41*18=738 Current State: 82:[9, 738], Operations: ['22-13=9', '41*18=738'] Exploring Operation: 738/9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 14, 23, 31 ]
71
[ "2*31=62", "23-14=9", "62+9=71" ]
Current State: 71:[2, 14, 23, 31], Operations: [] Exploring Operation: 2*31=62, Resulting Numbers: [14, 23, 62] Generated Node #2: [14, 23, 62] from Operation: 2*31=62 Current State: 71:[14, 23, 62], Operations: ['2*31=62'] Exploring Operation: 23-14=9, Resulting Numbers: [62, 9] Generated Node #3: [62, 9] from Operation: 23-14=9 Current State: 71:[62, 9], Operations: ['2*31=62', '23-14=9'] Exploring Operation: 62+9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 69, 48, 67, 16 ]
66
[ "69+48=117", "67-16=51", "117-51=66" ]
Current State: 66:[69, 48, 67, 16], Operations: [] Exploring Operation: 69+48=117, Resulting Numbers: [67, 16, 117] Generated Node #2: [67, 16, 117] from Operation: 69+48=117 Current State: 66:[67, 16, 117], Operations: ['69+48=117'] Exploring Operation: 67-16=51, Resulting Numbers: [117, 51] Generated Node #3: [117, 51] from Operation: 67-16=51 Current State: 66:[117, 51], Operations: ['69+48=117', '67-16=51'] Exploring Operation: 117-51=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 34, 72, 98 ]
34
[ "25+72=97", "98-97=1", "34*1=34" ]
Current State: 34:[25, 34, 72, 98], Operations: [] Exploring Operation: 25+72=97, Resulting Numbers: [34, 98, 97] Generated Node #2: [34, 98, 97] from Operation: 25+72=97 Current State: 34:[34, 98, 97], Operations: ['25+72=97'] Exploring Operation: 98-97=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 98-97=1 Current State: 34:[34, 1], Operations: ['25+72=97', '98-97=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 19, 51, 53 ]
35
[ "88-19=69", "51+53=104", "104-69=35" ]
Current State: 35:[88, 19, 51, 53], Operations: [] Exploring Operation: 88-19=69, Resulting Numbers: [51, 53, 69] Generated Node #2: [51, 53, 69] from Operation: 88-19=69 Current State: 35:[51, 53, 69], Operations: ['88-19=69'] Exploring Operation: 51+53=104, Resulting Numbers: [69, 104] Generated Node #3: [69, 104] from Operation: 51+53=104 Current State: 35:[69, 104], Operations: ['88-19=69', '51+53=104'] Exploring Operation: 104-69=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 84, 64, 76, 27 ]
99
[ "84+64=148", "76-27=49", "148-49=99" ]
Current State: 99:[84, 64, 76, 27], Operations: [] Exploring Operation: 84+64=148, Resulting Numbers: [76, 27, 148] Generated Node #2: [76, 27, 148] from Operation: 84+64=148 Current State: 99:[76, 27, 148], Operations: ['84+64=148'] Exploring Operation: 76-27=49, Resulting Numbers: [148, 49] Generated Node #3: [148, 49] from Operation: 76-27=49 Current State: 99:[148, 49], Operations: ['84+64=148', '76-27=49'] Exploring Operation: 148-49=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 41, 8, 97, 70 ]
10
[ "97-41=56", "8*70=560", "560/56=10" ]
Current State: 10:[41, 8, 97, 70], Operations: [] Exploring Operation: 97-41=56, Resulting Numbers: [8, 70, 56] Generated Node #2: [8, 70, 56] from Operation: 97-41=56 Current State: 10:[8, 70, 56], Operations: ['97-41=56'] Exploring Operation: 8*70=560, Resulting Numbers: [56, 560] Generated Node #3: [56, 560] from Operation: 8*70=560 Current State: 10:[56, 560], Operations: ['97-41=56', '8*70=560'] Exploring Operation: 560/56=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 65, 26, 25 ]
61
[ "91*25=2275", "2275/65=35", "26+35=61" ]
Current State: 61:[91, 65, 26, 25], Operations: [] Exploring Operation: 91*25=2275, Resulting Numbers: [65, 26, 2275] Generated Node #2: [65, 26, 2275] from Operation: 91*25=2275 Current State: 61:[65, 26, 2275], Operations: ['91*25=2275'] Exploring Operation: 2275/65=35, Resulting Numbers: [26, 35] Generated Node #3: [26, 35] from Operation: 2275/65=35 Current State: 61:[26, 35], Operations: ['91*25=2275', '2275/65=35'] Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 15, 4, 98 ]
55
[ "62-15=47", "4+98=102", "102-47=55" ]
Current State: 55:[62, 15, 4, 98], Operations: [] Exploring Operation: 62-15=47, Resulting Numbers: [4, 98, 47] Generated Node #2: [4, 98, 47] from Operation: 62-15=47 Current State: 55:[4, 98, 47], Operations: ['62-15=47'] Exploring Operation: 4+98=102, Resulting Numbers: [47, 102] Generated Node #3: [47, 102] from Operation: 4+98=102 Current State: 55:[47, 102], Operations: ['62-15=47', '4+98=102'] Exploring Operation: 102-47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 91, 78, 54, 31 ]
98
[ "91-78=13", "54+31=85", "13+85=98" ]
Current State: 98:[91, 78, 54, 31], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [54, 31, 13] Generated Node #2: [54, 31, 13] from Operation: 91-78=13 Current State: 98:[54, 31, 13], Operations: ['91-78=13'] Exploring Operation: 54+31=85, Resulting Numbers: [13, 85] Generated Node #3: [13, 85] from Operation: 54+31=85 Current State: 98:[13, 85], Operations: ['91-78=13', '54+31=85'] Exploring Operation: 13+85=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 61, 64, 67 ]
69
[ "64-61=3", "6/3=2", "67+2=69" ]
Current State: 69:[6, 61, 64, 67], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [6, 67, 3] Generated Node #2: [6, 67, 3] from Operation: 64-61=3 Current State: 69:[6, 67, 3], Operations: ['64-61=3'] Exploring Operation: 6/3=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 6/3=2 Current State: 69:[67, 2], Operations: ['64-61=3', '6/3=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 87, 84, 42 ]
21
[ "87-68=19", "84/42=2", "19+2=21" ]
Current State: 21:[68, 87, 84, 42], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [84, 42, 19] Generated Node #2: [84, 42, 19] from Operation: 87-68=19 Current State: 21:[84, 42, 19], Operations: ['87-68=19'] Exploring Operation: 84/42=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 84/42=2 Current State: 21:[19, 2], Operations: ['87-68=19', '84/42=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 33, 31, 72 ]
33
[ "3+33=36", "72/36=2", "31+2=33" ]
Current State: 33:[3, 33, 31, 72], Operations: [] Exploring Operation: 3+33=36, Resulting Numbers: [31, 72, 36] Generated Node #2: [31, 72, 36] from Operation: 3+33=36 Current State: 33:[31, 72, 36], Operations: ['3+33=36'] Exploring Operation: 72/36=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 72/36=2 Current State: 33:[31, 2], Operations: ['3+33=36', '72/36=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 90, 94, 53, 55 ]
43
[ "55-53=2", "94/2=47", "90-47=43" ]
Current State: 43:[90, 94, 53, 55], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [90, 94, 2] Generated Node #2: [90, 94, 2] from Operation: 55-53=2 Current State: 43:[90, 94, 2], Operations: ['55-53=2'] Exploring Operation: 94/2=47, Resulting Numbers: [90, 47] Generated Node #3: [90, 47] from Operation: 94/2=47 Current State: 43:[90, 47], Operations: ['55-53=2', '94/2=47'] Exploring Operation: 90-47=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 48, 84, 52, 43 ]
64
[ "52-48=4", "84/4=21", "43+21=64" ]
Current State: 64:[48, 84, 52, 43], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [84, 43, 4] Generated Node #2: [84, 43, 4] from Operation: 52-48=4 Current State: 64:[84, 43, 4], Operations: ['52-48=4'] Exploring Operation: 84/4=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 84/4=21 Current State: 64:[43, 21], Operations: ['52-48=4', '84/4=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 13, 14, 24, 28 ]
69
[ "28-24=4", "14*4=56", "13+56=69" ]
Current State: 69:[13, 14, 24, 28], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [13, 14, 4] Generated Node #2: [13, 14, 4] from Operation: 28-24=4 Current State: 69:[13, 14, 4], Operations: ['28-24=4'] Exploring Operation: 14*4=56, Resulting Numbers: [13, 56] Generated Node #3: [13, 56] from Operation: 14*4=56 Current State: 69:[13, 56], Operations: ['28-24=4', '14*4=56'] Exploring Operation: 13+56=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 7, 52, 18, 35 ]
28
[ "52-7=45", "35-18=17", "45-17=28" ]
Current State: 28:[7, 52, 18, 35], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [18, 35, 45] Generated Node #2: [18, 35, 45] from Operation: 52-7=45 Current State: 28:[18, 35, 45], Operations: ['52-7=45'] Exploring Operation: 35-18=17, Resulting Numbers: [45, 17] Generated Node #3: [45, 17] from Operation: 35-18=17 Current State: 28:[45, 17], Operations: ['52-7=45', '35-18=17'] Exploring Operation: 45-17=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 41, 67, 52 ]
54
[ "52-50=2", "41+67=108", "108/2=54" ]
Current State: 54:[50, 41, 67, 52], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [41, 67, 2] Generated Node #2: [41, 67, 2] from Operation: 52-50=2 Current State: 54:[41, 67, 2], Operations: ['52-50=2'] Exploring Operation: 41+67=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 41+67=108 Current State: 54:[2, 108], Operations: ['52-50=2', '41+67=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 92, 26, 16, 72 ]
33
[ "92*26=2392", "2392-16=2376", "2376/72=33" ]
Current State: 33:[92, 26, 16, 72], Operations: [] Exploring Operation: 92*26=2392, Resulting Numbers: [16, 72, 2392] Generated Node #2: [16, 72, 2392] from Operation: 92*26=2392 Current State: 33:[16, 72, 2392], Operations: ['92*26=2392'] Exploring Operation: 2392-16=2376, Resulting Numbers: [72, 2376] Generated Node #3: [72, 2376] from Operation: 2392-16=2376 Current State: 33:[72, 2376], Operations: ['92*26=2392', '2392-16=2376'] Exploring Operation: 2376/72=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 57, 77, 23, 43 ]
86
[ "77-57=20", "23+43=66", "20+66=86" ]
Current State: 86:[57, 77, 23, 43], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [23, 43, 20] Generated Node #2: [23, 43, 20] from Operation: 77-57=20 Current State: 86:[23, 43, 20], Operations: ['77-57=20'] Exploring Operation: 23+43=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 23+43=66 Current State: 86:[20, 66], Operations: ['77-57=20', '23+43=66'] Exploring Operation: 20+66=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 36, 21, 12 ]
61
[ "36*21=756", "756-24=732", "732/12=61" ]
Current State: 61:[24, 36, 21, 12], Operations: [] Exploring Operation: 36*21=756, Resulting Numbers: [24, 12, 756] Generated Node #2: [24, 12, 756] from Operation: 36*21=756 Current State: 61:[24, 12, 756], Operations: ['36*21=756'] Exploring Operation: 756-24=732, Resulting Numbers: [12, 732] Generated Node #3: [12, 732] from Operation: 756-24=732 Current State: 61:[12, 732], Operations: ['36*21=756', '756-24=732'] Exploring Operation: 732/12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 17, 13, 67, 11 ]
14
[ "17*13=221", "221-67=154", "154/11=14" ]
Current State: 14:[17, 13, 67, 11], Operations: [] Exploring Operation: 17*13=221, Resulting Numbers: [67, 11, 221] Generated Node #2: [67, 11, 221] from Operation: 17*13=221 Current State: 14:[67, 11, 221], Operations: ['17*13=221'] Exploring Operation: 221-67=154, Resulting Numbers: [11, 154] Generated Node #3: [11, 154] from Operation: 221-67=154 Current State: 14:[11, 154], Operations: ['17*13=221', '221-67=154'] Exploring Operation: 154/11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 36, 95, 16, 77 ]
70
[ "36+95=131", "77-16=61", "131-61=70" ]
Current State: 70:[36, 95, 16, 77], Operations: [] Exploring Operation: 36+95=131, Resulting Numbers: [16, 77, 131] Generated Node #2: [16, 77, 131] from Operation: 36+95=131 Current State: 70:[16, 77, 131], Operations: ['36+95=131'] Exploring Operation: 77-16=61, Resulting Numbers: [131, 61] Generated Node #3: [131, 61] from Operation: 77-16=61 Current State: 70:[131, 61], Operations: ['36+95=131', '77-16=61'] Exploring Operation: 131-61=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 60, 45, 13 ]
95
[ "3+60=63", "45-13=32", "63+32=95" ]
Current State: 95:[3, 60, 45, 13], Operations: [] Exploring Operation: 3+60=63, Resulting Numbers: [45, 13, 63] Generated Node #2: [45, 13, 63] from Operation: 3+60=63 Current State: 95:[45, 13, 63], Operations: ['3+60=63'] Exploring Operation: 45-13=32, Resulting Numbers: [63, 32] Generated Node #3: [63, 32] from Operation: 45-13=32 Current State: 95:[63, 32], Operations: ['3+60=63', '45-13=32'] Exploring Operation: 63+32=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 99, 2, 48, 13 ]
57
[ "13-2=11", "99/11=9", "48+9=57" ]
Current State: 57:[99, 2, 48, 13], Operations: [] Exploring Operation: 13-2=11, Resulting Numbers: [99, 48, 11] Generated Node #2: [99, 48, 11] from Operation: 13-2=11 Current State: 57:[99, 48, 11], Operations: ['13-2=11'] Exploring Operation: 99/11=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 99/11=9 Current State: 57:[48, 9], Operations: ['13-2=11', '99/11=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 34, 98, 39, 44 ]
72
[ "44-39=5", "34*5=170", "170-98=72" ]
Current State: 72:[34, 98, 39, 44], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [34, 98, 5] Generated Node #2: [34, 98, 5] from Operation: 44-39=5 Current State: 72:[34, 98, 5], Operations: ['44-39=5'] Exploring Operation: 34*5=170, Resulting Numbers: [98, 170] Generated Node #3: [98, 170] from Operation: 34*5=170 Current State: 72:[98, 170], Operations: ['44-39=5', '34*5=170'] Exploring Operation: 170-98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 48, 57, 5 ]
16
[ "57-42=15", "48*5=240", "240/15=16" ]
Current State: 16:[42, 48, 57, 5], Operations: [] Exploring Operation: 57-42=15, Resulting Numbers: [48, 5, 15] Generated Node #2: [48, 5, 15] from Operation: 57-42=15 Current State: 16:[48, 5, 15], Operations: ['57-42=15'] Exploring Operation: 48*5=240, Resulting Numbers: [15, 240] Generated Node #3: [15, 240] from Operation: 48*5=240 Current State: 16:[15, 240], Operations: ['57-42=15', '48*5=240'] Exploring Operation: 240/15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 9, 45, 64 ]
68
[ "81-45=36", "36/9=4", "64+4=68" ]
Current State: 68:[81, 9, 45, 64], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [9, 64, 36] Generated Node #2: [9, 64, 36] from Operation: 81-45=36 Current State: 68:[9, 64, 36], Operations: ['81-45=36'] Exploring Operation: 36/9=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 36/9=4 Current State: 68:[64, 4], Operations: ['81-45=36', '36/9=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 31, 15, 3 ]
16
[ "30+31=61", "15*3=45", "61-45=16" ]
Current State: 16:[30, 31, 15, 3], Operations: [] Exploring Operation: 30+31=61, Resulting Numbers: [15, 3, 61] Generated Node #2: [15, 3, 61] from Operation: 30+31=61 Current State: 16:[15, 3, 61], Operations: ['30+31=61'] Exploring Operation: 15*3=45, Resulting Numbers: [61, 45] Generated Node #3: [61, 45] from Operation: 15*3=45 Current State: 16:[61, 45], Operations: ['30+31=61', '15*3=45'] Exploring Operation: 61-45=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 93, 69, 45, 31 ]
10
[ "93-69=24", "45-31=14", "24-14=10" ]
Current State: 10:[93, 69, 45, 31], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [45, 31, 24] Generated Node #2: [45, 31, 24] from Operation: 93-69=24 Current State: 10:[45, 31, 24], Operations: ['93-69=24'] Exploring Operation: 45-31=14, Resulting Numbers: [24, 14] Generated Node #3: [24, 14] from Operation: 45-31=14 Current State: 10:[24, 14], Operations: ['93-69=24', '45-31=14'] Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 24, 47, 31, 45 ]
99
[ "47-24=23", "31+45=76", "23+76=99" ]
Current State: 99:[24, 47, 31, 45], Operations: [] Exploring Operation: 47-24=23, Resulting Numbers: [31, 45, 23] Generated Node #2: [31, 45, 23] from Operation: 47-24=23 Current State: 99:[31, 45, 23], Operations: ['47-24=23'] Exploring Operation: 31+45=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 31+45=76 Current State: 99:[23, 76], Operations: ['47-24=23', '31+45=76'] Exploring Operation: 23+76=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 85, 29, 10, 51 ]
65
[ "29+10=39", "85*39=3315", "3315/51=65" ]
Current State: 65:[85, 29, 10, 51], Operations: [] Exploring Operation: 29+10=39, Resulting Numbers: [85, 51, 39] Generated Node #2: [85, 51, 39] from Operation: 29+10=39 Current State: 65:[85, 51, 39], Operations: ['29+10=39'] Exploring Operation: 85*39=3315, Resulting Numbers: [51, 3315] Generated Node #3: [51, 3315] from Operation: 85*39=3315 Current State: 65:[51, 3315], Operations: ['29+10=39', '85*39=3315'] Exploring Operation: 3315/51=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 37, 29, 28, 58 ]
63
[ "37+28=65", "58/29=2", "65-2=63" ]
Current State: 63:[37, 29, 28, 58], Operations: [] Exploring Operation: 37+28=65, Resulting Numbers: [29, 58, 65] Generated Node #2: [29, 58, 65] from Operation: 37+28=65 Current State: 63:[29, 58, 65], Operations: ['37+28=65'] Exploring Operation: 58/29=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 58/29=2 Current State: 63:[65, 2], Operations: ['37+28=65', '58/29=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 29, 49, 92 ]
45
[ "52-29=23", "92/23=4", "49-4=45" ]
Current State: 45:[52, 29, 49, 92], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [49, 92, 23] Generated Node #2: [49, 92, 23] from Operation: 52-29=23 Current State: 45:[49, 92, 23], Operations: ['52-29=23'] Exploring Operation: 92/23=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 92/23=4 Current State: 45:[49, 4], Operations: ['52-29=23', '92/23=4'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 14, 73, 7, 3 ]
25
[ "14/7=2", "73+2=75", "75/3=25" ]
Current State: 25:[14, 73, 7, 3], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [73, 3, 2] Generated Node #2: [73, 3, 2] from Operation: 14/7=2 Current State: 25:[73, 3, 2], Operations: ['14/7=2'] Exploring Operation: 73+2=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 73+2=75 Current State: 25:[3, 75], Operations: ['14/7=2', '73+2=75'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 66, 58, 60 ]
37
[ "66+60=126", "126/6=21", "58-21=37" ]
Current State: 37:[6, 66, 58, 60], Operations: [] Exploring Operation: 66+60=126, Resulting Numbers: [6, 58, 126] Generated Node #2: [6, 58, 126] from Operation: 66+60=126 Current State: 37:[6, 58, 126], Operations: ['66+60=126'] Exploring Operation: 126/6=21, Resulting Numbers: [58, 21] Generated Node #3: [58, 21] from Operation: 126/6=21 Current State: 37:[58, 21], Operations: ['66+60=126', '126/6=21'] Exploring Operation: 58-21=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 11, 99, 72 ]
73
[ "87+11=98", "99+72=171", "171-98=73" ]
Current State: 73:[87, 11, 99, 72], Operations: [] Exploring Operation: 87+11=98, Resulting Numbers: [99, 72, 98] Generated Node #2: [99, 72, 98] from Operation: 87+11=98 Current State: 73:[99, 72, 98], Operations: ['87+11=98'] Exploring Operation: 99+72=171, Resulting Numbers: [98, 171] Generated Node #3: [98, 171] from Operation: 99+72=171 Current State: 73:[98, 171], Operations: ['87+11=98', '99+72=171'] Exploring Operation: 171-98=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 70, 55, 40, 60 ]
26
[ "60-55=5", "70/5=14", "40-14=26" ]
Current State: 26:[70, 55, 40, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [70, 40, 5] Generated Node #2: [70, 40, 5] from Operation: 60-55=5 Current State: 26:[70, 40, 5], Operations: ['60-55=5'] Exploring Operation: 70/5=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 70/5=14 Current State: 26:[40, 14], Operations: ['60-55=5', '70/5=14'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 69, 25, 92 ]
77
[ "69-29=40", "25+92=117", "117-40=77" ]
Current State: 77:[29, 69, 25, 92], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [25, 92, 40] Generated Node #2: [25, 92, 40] from Operation: 69-29=40 Current State: 77:[25, 92, 40], Operations: ['69-29=40'] Exploring Operation: 25+92=117, Resulting Numbers: [40, 117] Generated Node #3: [40, 117] from Operation: 25+92=117 Current State: 77:[40, 117], Operations: ['69-29=40', '25+92=117'] Exploring Operation: 117-40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 72, 24, 52 ]
36
[ "38*72=2736", "24+52=76", "2736/76=36" ]
Current State: 36:[38, 72, 24, 52], Operations: [] Exploring Operation: 38*72=2736, Resulting Numbers: [24, 52, 2736] Generated Node #2: [24, 52, 2736] from Operation: 38*72=2736 Current State: 36:[24, 52, 2736], Operations: ['38*72=2736'] Exploring Operation: 24+52=76, Resulting Numbers: [2736, 76] Generated Node #3: [2736, 76] from Operation: 24+52=76 Current State: 36:[2736, 76], Operations: ['38*72=2736', '24+52=76'] Exploring Operation: 2736/76=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 15, 82, 22 ]
92
[ "59*22=1298", "82+1298=1380", "1380/15=92" ]
Current State: 92:[59, 15, 82, 22], Operations: [] Exploring Operation: 59*22=1298, Resulting Numbers: [15, 82, 1298] Generated Node #2: [15, 82, 1298] from Operation: 59*22=1298 Current State: 92:[15, 82, 1298], Operations: ['59*22=1298'] Exploring Operation: 82+1298=1380, Resulting Numbers: [15, 1380] Generated Node #3: [15, 1380] from Operation: 82+1298=1380 Current State: 92:[15, 1380], Operations: ['59*22=1298', '82+1298=1380'] Exploring Operation: 1380/15=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 45, 17, 58 ]
44
[ "40+45=85", "58-17=41", "85-41=44" ]
Current State: 44:[40, 45, 17, 58], Operations: [] Exploring Operation: 40+45=85, Resulting Numbers: [17, 58, 85] Generated Node #2: [17, 58, 85] from Operation: 40+45=85 Current State: 44:[17, 58, 85], Operations: ['40+45=85'] Exploring Operation: 58-17=41, Resulting Numbers: [85, 41] Generated Node #3: [85, 41] from Operation: 58-17=41 Current State: 44:[85, 41], Operations: ['40+45=85', '58-17=41'] Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 89, 5, 57 ]
54
[ "89-74=15", "15/5=3", "57-3=54" ]
Current State: 54:[74, 89, 5, 57], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [5, 57, 15] Generated Node #2: [5, 57, 15] from Operation: 89-74=15 Current State: 54:[5, 57, 15], Operations: ['89-74=15'] Exploring Operation: 15/5=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 15/5=3 Current State: 54:[57, 3], Operations: ['89-74=15', '15/5=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 21, 3, 7 ]
98
[ "56+21=77", "3*7=21", "77+21=98" ]
Current State: 98:[56, 21, 3, 7], Operations: [] Exploring Operation: 56+21=77, Resulting Numbers: [3, 7, 77] Generated Node #2: [3, 7, 77] from Operation: 56+21=77 Current State: 98:[3, 7, 77], Operations: ['56+21=77'] Exploring Operation: 3*7=21, Resulting Numbers: [77, 21] Generated Node #3: [77, 21] from Operation: 3*7=21 Current State: 98:[77, 21], Operations: ['56+21=77', '3*7=21'] Exploring Operation: 77+21=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 45, 96, 3 ]
64
[ "45-16=29", "96-3=93", "93-29=64" ]
Current State: 64:[16, 45, 96, 3], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [96, 3, 29] Generated Node #2: [96, 3, 29] from Operation: 45-16=29 Current State: 64:[96, 3, 29], Operations: ['45-16=29'] Exploring Operation: 96-3=93, Resulting Numbers: [29, 93] Generated Node #3: [29, 93] from Operation: 96-3=93 Current State: 64:[29, 93], Operations: ['45-16=29', '96-3=93'] Exploring Operation: 93-29=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 39, 30, 95 ]
35
[ "41-39=2", "30*2=60", "95-60=35" ]
Current State: 35:[41, 39, 30, 95], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [30, 95, 2] Generated Node #2: [30, 95, 2] from Operation: 41-39=2 Current State: 35:[30, 95, 2], Operations: ['41-39=2'] Exploring Operation: 30*2=60, Resulting Numbers: [95, 60] Generated Node #3: [95, 60] from Operation: 30*2=60 Current State: 35:[95, 60], Operations: ['41-39=2', '30*2=60'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 51, 62, 74 ]
95
[ "56+51=107", "74-62=12", "107-12=95" ]
Current State: 95:[56, 51, 62, 74], Operations: [] Exploring Operation: 56+51=107, Resulting Numbers: [62, 74, 107] Generated Node #2: [62, 74, 107] from Operation: 56+51=107 Current State: 95:[62, 74, 107], Operations: ['56+51=107'] Exploring Operation: 74-62=12, Resulting Numbers: [107, 12] Generated Node #3: [107, 12] from Operation: 74-62=12 Current State: 95:[107, 12], Operations: ['56+51=107', '74-62=12'] Exploring Operation: 107-12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 38, 17, 40, 54 ]
91
[ "40-38=2", "54*2=108", "108-17=91" ]
Current State: 91:[38, 17, 40, 54], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [17, 54, 2] Generated Node #2: [17, 54, 2] from Operation: 40-38=2 Current State: 91:[17, 54, 2], Operations: ['40-38=2'] Exploring Operation: 54*2=108, Resulting Numbers: [17, 108] Generated Node #3: [17, 108] from Operation: 54*2=108 Current State: 91:[17, 108], Operations: ['40-38=2', '54*2=108'] Exploring Operation: 108-17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 2, 31, 9 ]
76
[ "31-2=29", "9+29=38", "2*38=76" ]
Current State: 76:[2, 2, 31, 9], Operations: [] Exploring Operation: 31-2=29, Resulting Numbers: [9, 29] Generated Node #2: [9, 29] from Operation: 31-2=29 Current State: 76:[9, 29], Operations: ['31-2=29'] Exploring Operation: 9+29=38, Resulting Numbers: [38] 38,76 equal: Goal Reached Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 81, 9, 53, 36 ]
99
[ "53-9=44", "81*44=3564", "3564/36=99" ]
Current State: 99:[81, 9, 53, 36], Operations: [] Exploring Operation: 53-9=44, Resulting Numbers: [81, 36, 44] Generated Node #2: [81, 36, 44] from Operation: 53-9=44 Current State: 99:[81, 36, 44], Operations: ['53-9=44'] Exploring Operation: 81*44=3564, Resulting Numbers: [36, 3564] Generated Node #3: [36, 3564] from Operation: 81*44=3564 Current State: 99:[36, 3564], Operations: ['53-9=44', '81*44=3564'] Exploring Operation: 3564/36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 77, 39, 19 ]
50
[ "77-7=70", "39-19=20", "70-20=50" ]
Current State: 50:[7, 77, 39, 19], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [39, 19, 70] Generated Node #2: [39, 19, 70] from Operation: 77-7=70 Current State: 50:[39, 19, 70], Operations: ['77-7=70'] Exploring Operation: 39-19=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 39-19=20 Current State: 50:[70, 20], Operations: ['77-7=70', '39-19=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 88, 58, 8, 42 ]
89
[ "88/8=11", "58+42=100", "100-11=89" ]
Current State: 89:[88, 58, 8, 42], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [58, 42, 11] Generated Node #2: [58, 42, 11] from Operation: 88/8=11 Current State: 89:[58, 42, 11], Operations: ['88/8=11'] Exploring Operation: 58+42=100, Resulting Numbers: [11, 100] Generated Node #3: [11, 100] from Operation: 58+42=100 Current State: 89:[11, 100], Operations: ['88/8=11', '58+42=100'] Exploring Operation: 100-11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 76, 48, 11, 64 ]
15
[ "76-64=12", "48/12=4", "11+4=15" ]
Current State: 15:[76, 48, 11, 64], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [48, 11, 12] Generated Node #2: [48, 11, 12] from Operation: 76-64=12 Current State: 15:[48, 11, 12], Operations: ['76-64=12'] Exploring Operation: 48/12=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 48/12=4 Current State: 15:[11, 4], Operations: ['76-64=12', '48/12=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 23, 86, 6 ]
68
[ "14*23=322", "86+322=408", "408/6=68" ]
Current State: 68:[14, 23, 86, 6], Operations: [] Exploring Operation: 14*23=322, Resulting Numbers: [86, 6, 322] Generated Node #2: [86, 6, 322] from Operation: 14*23=322 Current State: 68:[86, 6, 322], Operations: ['14*23=322'] Exploring Operation: 86+322=408, Resulting Numbers: [6, 408] Generated Node #3: [6, 408] from Operation: 86+322=408 Current State: 68:[6, 408], Operations: ['14*23=322', '86+322=408'] Exploring Operation: 408/6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 9, 57, 88, 65 ]
99
[ "9*88=792", "65-57=8", "792/8=99" ]
Current State: 99:[9, 57, 88, 65], Operations: [] Exploring Operation: 9*88=792, Resulting Numbers: [57, 65, 792] Generated Node #2: [57, 65, 792] from Operation: 9*88=792 Current State: 99:[57, 65, 792], Operations: ['9*88=792'] Exploring Operation: 65-57=8, Resulting Numbers: [792, 8] Generated Node #3: [792, 8] from Operation: 65-57=8 Current State: 99:[792, 8], Operations: ['9*88=792', '65-57=8'] Exploring Operation: 792/8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 36, 18, 27 ]
81
[ "36+27=63", "18*63=1134", "1134/14=81" ]
Current State: 81:[14, 36, 18, 27], Operations: [] Exploring Operation: 36+27=63, Resulting Numbers: [14, 18, 63] Generated Node #2: [14, 18, 63] from Operation: 36+27=63 Current State: 81:[14, 18, 63], Operations: ['36+27=63'] Exploring Operation: 18*63=1134, Resulting Numbers: [14, 1134] Generated Node #3: [14, 1134] from Operation: 18*63=1134 Current State: 81:[14, 1134], Operations: ['36+27=63', '18*63=1134'] Exploring Operation: 1134/14=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 89, 12, 95 ]
42
[ "89-48=41", "95-12=83", "83-41=42" ]
Current State: 42:[48, 89, 12, 95], Operations: [] Exploring Operation: 89-48=41, Resulting Numbers: [12, 95, 41] Generated Node #2: [12, 95, 41] from Operation: 89-48=41 Current State: 42:[12, 95, 41], Operations: ['89-48=41'] Exploring Operation: 95-12=83, Resulting Numbers: [41, 83] Generated Node #3: [41, 83] from Operation: 95-12=83 Current State: 42:[41, 83], Operations: ['89-48=41', '95-12=83'] Exploring Operation: 83-41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 79, 24, 5 ]
83
[ "33+79=112", "24+5=29", "112-29=83" ]
Current State: 83:[33, 79, 24, 5], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [24, 5, 112] Generated Node #2: [24, 5, 112] from Operation: 33+79=112 Current State: 83:[24, 5, 112], Operations: ['33+79=112'] Exploring Operation: 24+5=29, Resulting Numbers: [112, 29] Generated Node #3: [112, 29] from Operation: 24+5=29 Current State: 83:[112, 29], Operations: ['33+79=112', '24+5=29'] Exploring Operation: 112-29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 80, 31, 45 ]
41
[ "80*45=3600", "3600/50=72", "72-31=41" ]
Current State: 41:[50, 80, 31, 45], Operations: [] Exploring Operation: 80*45=3600, Resulting Numbers: [50, 31, 3600] Generated Node #2: [50, 31, 3600] from Operation: 80*45=3600 Current State: 41:[50, 31, 3600], Operations: ['80*45=3600'] Exploring Operation: 3600/50=72, Resulting Numbers: [31, 72] Generated Node #3: [31, 72] from Operation: 3600/50=72 Current State: 41:[31, 72], Operations: ['80*45=3600', '3600/50=72'] Exploring Operation: 72-31=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 97, 47, 76 ]
76
[ "97-50=47", "47+76=123", "123-47=76" ]
Current State: 76:[50, 97, 47, 76], Operations: [] Exploring Operation: 97-50=47, Resulting Numbers: [47, 76, 47] Generated Node #2: [47, 76, 47] from Operation: 97-50=47 Current State: 76:[47, 76, 47], Operations: ['97-50=47'] Exploring Operation: 47+76=123, Resulting Numbers: [123] 123,76 equal: Goal Reached Exploring Operation: 123-47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 19, 5, 11 ]
49
[ "19-7=12", "5*12=60", "60-11=49" ]
Current State: 49:[7, 19, 5, 11], Operations: [] Exploring Operation: 19-7=12, Resulting Numbers: [5, 11, 12] Generated Node #2: [5, 11, 12] from Operation: 19-7=12 Current State: 49:[5, 11, 12], Operations: ['19-7=12'] Exploring Operation: 5*12=60, Resulting Numbers: [11, 60] Generated Node #3: [11, 60] from Operation: 5*12=60 Current State: 49:[11, 60], Operations: ['19-7=12', '5*12=60'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 75, 4, 15 ]
48
[ "93+15=108", "108/4=27", "75-27=48" ]
Current State: 48:[93, 75, 4, 15], Operations: [] Exploring Operation: 93+15=108, Resulting Numbers: [75, 4, 108] Generated Node #2: [75, 4, 108] from Operation: 93+15=108 Current State: 48:[75, 4, 108], Operations: ['93+15=108'] Exploring Operation: 108/4=27, Resulting Numbers: [75, 27] Generated Node #3: [75, 27] from Operation: 108/4=27 Current State: 48:[75, 27], Operations: ['93+15=108', '108/4=27'] Exploring Operation: 75-27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 83, 88, 90, 21 ]
74
[ "88-83=5", "90-21=69", "5+69=74" ]
Current State: 74:[83, 88, 90, 21], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [90, 21, 5] Generated Node #2: [90, 21, 5] from Operation: 88-83=5 Current State: 74:[90, 21, 5], Operations: ['88-83=5'] Exploring Operation: 90-21=69, Resulting Numbers: [5, 69] Generated Node #3: [5, 69] from Operation: 90-21=69 Current State: 74:[5, 69], Operations: ['88-83=5', '90-21=69'] Exploring Operation: 5+69=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 79, 4, 43 ]
30
[ "79-10=69", "43-4=39", "69-39=30" ]
Current State: 30:[10, 79, 4, 43], Operations: [] Exploring Operation: 79-10=69, Resulting Numbers: [4, 43, 69] Generated Node #2: [4, 43, 69] from Operation: 79-10=69 Current State: 30:[4, 43, 69], Operations: ['79-10=69'] Exploring Operation: 43-4=39, Resulting Numbers: [69, 39] Generated Node #3: [69, 39] from Operation: 43-4=39 Current State: 30:[69, 39], Operations: ['79-10=69', '43-4=39'] Exploring Operation: 69-39=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 94, 18, 9, 11 ]
36
[ "94*9=846", "846/18=47", "47-11=36" ]
Current State: 36:[94, 18, 9, 11], Operations: [] Exploring Operation: 94*9=846, Resulting Numbers: [18, 11, 846] Generated Node #2: [18, 11, 846] from Operation: 94*9=846 Current State: 36:[18, 11, 846], Operations: ['94*9=846'] Exploring Operation: 846/18=47, Resulting Numbers: [11, 47] Generated Node #3: [11, 47] from Operation: 846/18=47 Current State: 36:[11, 47], Operations: ['94*9=846', '846/18=47'] Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 79, 25, 18 ]
62
[ "26+79=105", "25+18=43", "105-43=62" ]
Current State: 62:[26, 79, 25, 18], Operations: [] Exploring Operation: 26+79=105, Resulting Numbers: [25, 18, 105] Generated Node #2: [25, 18, 105] from Operation: 26+79=105 Current State: 62:[25, 18, 105], Operations: ['26+79=105'] Exploring Operation: 25+18=43, Resulting Numbers: [105, 43] Generated Node #3: [105, 43] from Operation: 25+18=43 Current State: 62:[105, 43], Operations: ['26+79=105', '25+18=43'] Exploring Operation: 105-43=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 99, 41, 62, 98 ]
94
[ "99-41=58", "98-62=36", "58+36=94" ]
Current State: 94:[99, 41, 62, 98], Operations: [] Exploring Operation: 99-41=58, Resulting Numbers: [62, 98, 58] Generated Node #2: [62, 98, 58] from Operation: 99-41=58 Current State: 94:[62, 98, 58], Operations: ['99-41=58'] Exploring Operation: 98-62=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 98-62=36 Current State: 94:[58, 36], Operations: ['99-41=58', '98-62=36'] Exploring Operation: 58+36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 9, 70, 65, 63 ]
22
[ "70+65=135", "63+135=198", "198/9=22" ]
Current State: 22:[9, 70, 65, 63], Operations: [] Exploring Operation: 70+65=135, Resulting Numbers: [9, 63, 135] Generated Node #2: [9, 63, 135] from Operation: 70+65=135 Current State: 22:[9, 63, 135], Operations: ['70+65=135'] Exploring Operation: 63+135=198, Resulting Numbers: [9, 198] Generated Node #3: [9, 198] from Operation: 63+135=198 Current State: 22:[9, 198], Operations: ['70+65=135', '63+135=198'] Exploring Operation: 198/9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 46, 72, 42 ]
62
[ "2*46=92", "72-42=30", "92-30=62" ]
Current State: 62:[2, 46, 72, 42], Operations: [] Exploring Operation: 2*46=92, Resulting Numbers: [72, 42, 92] Generated Node #2: [72, 42, 92] from Operation: 2*46=92 Current State: 62:[72, 42, 92], Operations: ['2*46=92'] Exploring Operation: 72-42=30, Resulting Numbers: [92, 30] Generated Node #3: [92, 30] from Operation: 72-42=30 Current State: 62:[92, 30], Operations: ['2*46=92', '72-42=30'] Exploring Operation: 92-30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 60, 2, 21 ]
44
[ "7+60=67", "2+21=23", "67-23=44" ]
Current State: 44:[7, 60, 2, 21], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [2, 21, 67] Generated Node #2: [2, 21, 67] from Operation: 7+60=67 Current State: 44:[2, 21, 67], Operations: ['7+60=67'] Exploring Operation: 2+21=23, Resulting Numbers: [67, 23] Generated Node #3: [67, 23] from Operation: 2+21=23 Current State: 44:[67, 23], Operations: ['7+60=67', '2+21=23'] Exploring Operation: 67-23=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 91, 58, 73 ]
76
[ "1*91=91", "73-58=15", "91-15=76" ]
Current State: 76:[1, 91, 58, 73], Operations: [] Exploring Operation: 1*91=91, Resulting Numbers: [58, 73, 91] Generated Node #2: [58, 73, 91] from Operation: 1*91=91 Current State: 76:[58, 73, 91], Operations: ['1*91=91'] Exploring Operation: 73-58=15, Resulting Numbers: [91, 15] Generated Node #3: [91, 15] from Operation: 73-58=15 Current State: 76:[91, 15], Operations: ['1*91=91', '73-58=15'] Exploring Operation: 91-15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 91, 37, 85 ]
83
[ "40+91=131", "85-37=48", "131-48=83" ]
Current State: 83:[40, 91, 37, 85], Operations: [] Exploring Operation: 40+91=131, Resulting Numbers: [37, 85, 131] Generated Node #2: [37, 85, 131] from Operation: 40+91=131 Current State: 83:[37, 85, 131], Operations: ['40+91=131'] Exploring Operation: 85-37=48, Resulting Numbers: [131, 48] Generated Node #3: [131, 48] from Operation: 85-37=48 Current State: 83:[131, 48], Operations: ['40+91=131', '85-37=48'] Exploring Operation: 131-48=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 55, 97, 37 ]
17
[ "98-55=43", "97-37=60", "60-43=17" ]
Current State: 17:[98, 55, 97, 37], Operations: [] Exploring Operation: 98-55=43, Resulting Numbers: [97, 37, 43] Generated Node #2: [97, 37, 43] from Operation: 98-55=43 Current State: 17:[97, 37, 43], Operations: ['98-55=43'] Exploring Operation: 97-37=60, Resulting Numbers: [43, 60] Generated Node #3: [43, 60] from Operation: 97-37=60 Current State: 17:[43, 60], Operations: ['98-55=43', '97-37=60'] Exploring Operation: 60-43=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 32, 49, 48, 98 ]
32
[ "32*49=1568", "1568/98=16", "48-16=32" ]
Current State: 32:[32, 49, 48, 98], Operations: [] Exploring Operation: 32*49=1568, Resulting Numbers: [48, 98, 1568] Generated Node #2: [48, 98, 1568] from Operation: 32*49=1568 Current State: 32:[48, 98, 1568], Operations: ['32*49=1568'] Exploring Operation: 1568/98=16, Resulting Numbers: [48, 16] Generated Node #3: [48, 16] from Operation: 1568/98=16 Current State: 32:[48, 16], Operations: ['32*49=1568', '1568/98=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 9, 94, 15 ]
79
[ "94-38=56", "9*15=135", "135-56=79" ]
Current State: 79:[38, 9, 94, 15], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [9, 15, 56] Generated Node #2: [9, 15, 56] from Operation: 94-38=56 Current State: 79:[9, 15, 56], Operations: ['94-38=56'] Exploring Operation: 9*15=135, Resulting Numbers: [56, 135] Generated Node #3: [56, 135] from Operation: 9*15=135 Current State: 79:[56, 135], Operations: ['94-38=56', '9*15=135'] Exploring Operation: 135-56=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 87, 50, 45, 27 ]
19
[ "87-50=37", "45-27=18", "37-18=19" ]
Current State: 19:[87, 50, 45, 27], Operations: [] Exploring Operation: 87-50=37, Resulting Numbers: [45, 27, 37] Generated Node #2: [45, 27, 37] from Operation: 87-50=37 Current State: 19:[45, 27, 37], Operations: ['87-50=37'] Exploring Operation: 45-27=18, Resulting Numbers: [37, 18] Generated Node #3: [37, 18] from Operation: 45-27=18 Current State: 19:[37, 18], Operations: ['87-50=37', '45-27=18'] Exploring Operation: 37-18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 27, 24, 6, 42 ]
58
[ "27+24=51", "42/6=7", "51+7=58" ]
Current State: 58:[27, 24, 6, 42], Operations: [] Exploring Operation: 27+24=51, Resulting Numbers: [6, 42, 51] Generated Node #2: [6, 42, 51] from Operation: 27+24=51 Current State: 58:[6, 42, 51], Operations: ['27+24=51'] Exploring Operation: 42/6=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 42/6=7 Current State: 58:[51, 7], Operations: ['27+24=51', '42/6=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 19, 1, 3 ]
20
[ "41+19=60", "1*3=3", "60/3=20" ]
Current State: 20:[41, 19, 1, 3], Operations: [] Exploring Operation: 41+19=60, Resulting Numbers: [1, 3, 60] Generated Node #2: [1, 3, 60] from Operation: 41+19=60 Current State: 20:[1, 3, 60], Operations: ['41+19=60'] Exploring Operation: 1*3=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 1*3=3 Current State: 20:[60, 3], Operations: ['41+19=60', '1*3=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 16, 3, 18, 33 ]
55
[ "16+33=49", "18/3=6", "49+6=55" ]
Current State: 55:[16, 3, 18, 33], Operations: [] Exploring Operation: 16+33=49, Resulting Numbers: [3, 18, 49] Generated Node #2: [3, 18, 49] from Operation: 16+33=49 Current State: 55:[3, 18, 49], Operations: ['16+33=49'] Exploring Operation: 18/3=6, Resulting Numbers: [49, 6] Generated Node #3: [49, 6] from Operation: 18/3=6 Current State: 55:[49, 6], Operations: ['16+33=49', '18/3=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 57, 5, 4, 32 ]
20
[ "57-32=25", "25/5=5", "4*5=20" ]
Current State: 20:[57, 5, 4, 32], Operations: [] Exploring Operation: 57-32=25, Resulting Numbers: [5, 4, 25] Generated Node #2: [5, 4, 25] from Operation: 57-32=25 Current State: 20:[5, 4, 25], Operations: ['57-32=25'] Exploring Operation: 25/5=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 25/5=5 Current State: 20:[4, 5], Operations: ['57-32=25', '25/5=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 19, 45, 69 ]
48
[ "43-19=24", "69-45=24", "24+24=48" ]
Current State: 48:[43, 19, 45, 69], Operations: [] Exploring Operation: 43-19=24, Resulting Numbers: [45, 69, 24] Generated Node #2: [45, 69, 24] from Operation: 43-19=24 Current State: 48:[45, 69, 24], Operations: ['43-19=24'] Exploring Operation: 69-45=24, Resulting Numbers: [24, 24] Generated Node #3: [24, 24] from Operation: 69-45=24 Current State: 48:[24, 24], Operations: ['43-19=24', '69-45=24'] Exploring Operation: 24+24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 64, 22, 2 ]
48
[ "64/32=2", "22+2=24", "2*24=48" ]
Current State: 48:[32, 64, 22, 2], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [22, 2, 2] Generated Node #2: [22, 2, 2] from Operation: 64/32=2 Current State: 48:[22, 2, 2], Operations: ['64/32=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,48 equal: Goal Reached Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4