Datasets:

nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 81, 89, 6, 83 ]
81
[ "81+89=170", "6+83=89", "170-89=81" ]
Current State: 81:[81, 89, 6, 83], Operations: [] Exploring Operation: 81+89=170, Resulting Numbers: [6, 83, 170] Generated Node #2: [6, 83, 170] from Operation: 81+89=170 Current State: 81:[6, 83, 170], Operations: ['81+89=170'] Exploring Operation: 6+83=89, Resulting Numbers: [170, 89] Generated Node #3: [170, 89] from Operation: 6+83=89 Current State: 81:[170, 89], Operations: ['81+89=170', '6+83=89'] Exploring Operation: 170-89=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 25, 8, 21 ]
18
[ "64+8=72", "25-21=4", "72/4=18" ]
Current State: 18:[64, 25, 8, 21], Operations: [] Exploring Operation: 64+8=72, Resulting Numbers: [25, 21, 72] Generated Node #2: [25, 21, 72] from Operation: 64+8=72 Current State: 18:[25, 21, 72], Operations: ['64+8=72'] Exploring Operation: 25-21=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 25-21=4 Current State: 18:[72, 4], Operations: ['64+8=72', '25-21=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 76, 82, 14, 38 ]
75
[ "76/38=2", "14/2=7", "82-7=75" ]
Current State: 75:[76, 82, 14, 38], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [82, 14, 2] Generated Node #2: [82, 14, 2] from Operation: 76/38=2 Current State: 75:[82, 14, 2], Operations: ['76/38=2'] Exploring Operation: 14/2=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 14/2=7 Current State: 75:[82, 7], Operations: ['76/38=2', '14/2=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 45, 32, 70 ]
55
[ "32-25=7", "70/7=10", "45+10=55" ]
Current State: 55:[25, 45, 32, 70], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [45, 70, 7] Generated Node #2: [45, 70, 7] from Operation: 32-25=7 Current State: 55:[45, 70, 7], Operations: ['32-25=7'] Exploring Operation: 70/7=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 70/7=10 Current State: 55:[45, 10], Operations: ['32-25=7', '70/7=10'] Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 4, 79, 1 ]
18
[ "79-3=76", "76/4=19", "19-1=18" ]
Current State: 18:[3, 4, 79, 1], Operations: [] Exploring Operation: 79-3=76, Resulting Numbers: [4, 1, 76] Generated Node #2: [4, 1, 76] from Operation: 79-3=76 Current State: 18:[4, 1, 76], Operations: ['79-3=76'] Exploring Operation: 76/4=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 76/4=19 Current State: 18:[1, 19], Operations: ['79-3=76', '76/4=19'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 75, 16, 88 ]
94
[ "75-65=10", "16+88=104", "104-10=94" ]
Current State: 94:[65, 75, 16, 88], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [16, 88, 10] Generated Node #2: [16, 88, 10] from Operation: 75-65=10 Current State: 94:[16, 88, 10], Operations: ['75-65=10'] Exploring Operation: 16+88=104, Resulting Numbers: [10, 104] Generated Node #3: [10, 104] from Operation: 16+88=104 Current State: 94:[10, 104], Operations: ['75-65=10', '16+88=104'] Exploring Operation: 104-10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 51, 76, 65 ]
45
[ "76-51=25", "65+25=90", "90/2=45" ]
Current State: 45:[2, 51, 76, 65], Operations: [] Exploring Operation: 76-51=25, Resulting Numbers: [2, 65, 25] Generated Node #2: [2, 65, 25] from Operation: 76-51=25 Current State: 45:[2, 65, 25], Operations: ['76-51=25'] Exploring Operation: 65+25=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 65+25=90 Current State: 45:[2, 90], Operations: ['76-51=25', '65+25=90'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 22, 10, 47, 21 ]
80
[ "22-10=12", "47+21=68", "12+68=80" ]
Current State: 80:[22, 10, 47, 21], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [47, 21, 12] Generated Node #2: [47, 21, 12] from Operation: 22-10=12 Current State: 80:[47, 21, 12], Operations: ['22-10=12'] Exploring Operation: 47+21=68, Resulting Numbers: [12, 68] Generated Node #3: [12, 68] from Operation: 47+21=68 Current State: 80:[12, 68], Operations: ['22-10=12', '47+21=68'] Exploring Operation: 12+68=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 49, 50, 40, 5 ]
51
[ "50-40=10", "10/5=2", "49+2=51" ]
Current State: 51:[49, 50, 40, 5], Operations: [] Exploring Operation: 50-40=10, Resulting Numbers: [49, 5, 10] Generated Node #2: [49, 5, 10] from Operation: 50-40=10 Current State: 51:[49, 5, 10], Operations: ['50-40=10'] Exploring Operation: 10/5=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 10/5=2 Current State: 51:[49, 2], Operations: ['50-40=10', '10/5=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 39, 13, 7 ]
26
[ "44-39=5", "7-5=2", "13*2=26" ]
Current State: 26:[44, 39, 13, 7], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [13, 7, 5] Generated Node #2: [13, 7, 5] from Operation: 44-39=5 Current State: 26:[13, 7, 5], Operations: ['44-39=5'] Exploring Operation: 7-5=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 7-5=2 Current State: 26:[13, 2], Operations: ['44-39=5', '7-5=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 19, 22, 22 ]
49
[ "31+19=50", "22/22=1", "50-1=49" ]
Current State: 49:[31, 19, 22, 22], Operations: [] Exploring Operation: 31+19=50, Resulting Numbers: [22, 22, 50] Generated Node #2: [22, 22, 50] from Operation: 31+19=50 Current State: 49:[22, 22, 50], Operations: ['31+19=50'] Exploring Operation: 22/22=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 22/22=1 Current State: 49:[50, 1], Operations: ['31+19=50', '22/22=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 84, 74, 67 ]
32
[ "74-67=7", "84/7=12", "44-12=32" ]
Current State: 32:[44, 84, 74, 67], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [44, 84, 7] Generated Node #2: [44, 84, 7] from Operation: 74-67=7 Current State: 32:[44, 84, 7], Operations: ['74-67=7'] Exploring Operation: 84/7=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 84/7=12 Current State: 32:[44, 12], Operations: ['74-67=7', '84/7=12'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 66, 4, 2 ]
99
[ "62+4=66", "66/2=33", "66+33=99" ]
Current State: 99:[62, 66, 4, 2], Operations: [] Exploring Operation: 62+4=66, Resulting Numbers: [66, 2, 66] Generated Node #2: [66, 2, 66] from Operation: 62+4=66 Current State: 99:[66, 2, 66], Operations: ['62+4=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,99 equal: Goal Reached Exploring Operation: 66+33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 34, 63, 6, 21 ]
84
[ "34-6=28", "63/21=3", "28*3=84" ]
Current State: 84:[34, 63, 6, 21], Operations: [] Exploring Operation: 34-6=28, Resulting Numbers: [63, 21, 28] Generated Node #2: [63, 21, 28] from Operation: 34-6=28 Current State: 84:[63, 21, 28], Operations: ['34-6=28'] Exploring Operation: 63/21=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 63/21=3 Current State: 84:[28, 3], Operations: ['34-6=28', '63/21=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 78, 17, 25 ]
71
[ "35+78=113", "17+25=42", "113-42=71" ]
Current State: 71:[35, 78, 17, 25], Operations: [] Exploring Operation: 35+78=113, Resulting Numbers: [17, 25, 113] Generated Node #2: [17, 25, 113] from Operation: 35+78=113 Current State: 71:[17, 25, 113], Operations: ['35+78=113'] Exploring Operation: 17+25=42, Resulting Numbers: [113, 42] Generated Node #3: [113, 42] from Operation: 17+25=42 Current State: 71:[113, 42], Operations: ['35+78=113', '17+25=42'] Exploring Operation: 113-42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 21, 16, 43, 36 ]
12
[ "21-16=5", "43-36=7", "5+7=12" ]
Current State: 12:[21, 16, 43, 36], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [43, 36, 5] Generated Node #2: [43, 36, 5] from Operation: 21-16=5 Current State: 12:[43, 36, 5], Operations: ['21-16=5'] Exploring Operation: 43-36=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 43-36=7 Current State: 12:[5, 7], Operations: ['21-16=5', '43-36=7'] Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 30, 97, 92 ]
90
[ "97-92=5", "30*5=150", "150-60=90" ]
Current State: 90:[60, 30, 97, 92], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [60, 30, 5] Generated Node #2: [60, 30, 5] from Operation: 97-92=5 Current State: 90:[60, 30, 5], Operations: ['97-92=5'] Exploring Operation: 30*5=150, Resulting Numbers: [60, 150] Generated Node #3: [60, 150] from Operation: 30*5=150 Current State: 90:[60, 150], Operations: ['97-92=5', '30*5=150'] Exploring Operation: 150-60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 15, 36, 35 ]
32
[ "35-15=20", "20/5=4", "36-4=32" ]
Current State: 32:[5, 15, 36, 35], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [5, 36, 20] Generated Node #2: [5, 36, 20] from Operation: 35-15=20 Current State: 32:[5, 36, 20], Operations: ['35-15=20'] Exploring Operation: 20/5=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 20/5=4 Current State: 32:[36, 4], Operations: ['35-15=20', '20/5=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 19, 78, 63 ]
55
[ "63-56=7", "19*7=133", "133-78=55" ]
Current State: 55:[56, 19, 78, 63], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [19, 78, 7] Generated Node #2: [19, 78, 7] from Operation: 63-56=7 Current State: 55:[19, 78, 7], Operations: ['63-56=7'] Exploring Operation: 19*7=133, Resulting Numbers: [78, 133] Generated Node #3: [78, 133] from Operation: 19*7=133 Current State: 55:[78, 133], Operations: ['63-56=7', '19*7=133'] Exploring Operation: 133-78=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 92, 5, 27, 37 ]
66
[ "92+27=119", "5*37=185", "185-119=66" ]
Current State: 66:[92, 5, 27, 37], Operations: [] Exploring Operation: 92+27=119, Resulting Numbers: [5, 37, 119] Generated Node #2: [5, 37, 119] from Operation: 92+27=119 Current State: 66:[5, 37, 119], Operations: ['92+27=119'] Exploring Operation: 5*37=185, Resulting Numbers: [119, 185] Generated Node #3: [119, 185] from Operation: 5*37=185 Current State: 66:[119, 185], Operations: ['92+27=119', '5*37=185'] Exploring Operation: 185-119=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 89, 97, 5 ]
68
[ "56+89=145", "145/5=29", "97-29=68" ]
Current State: 68:[56, 89, 97, 5], Operations: [] Exploring Operation: 56+89=145, Resulting Numbers: [97, 5, 145] Generated Node #2: [97, 5, 145] from Operation: 56+89=145 Current State: 68:[97, 5, 145], Operations: ['56+89=145'] Exploring Operation: 145/5=29, Resulting Numbers: [97, 29] Generated Node #3: [97, 29] from Operation: 145/5=29 Current State: 68:[97, 29], Operations: ['56+89=145', '145/5=29'] Exploring Operation: 97-29=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 28, 9, 11, 21 ]
13
[ "28-9=19", "11+21=32", "32-19=13" ]
Current State: 13:[28, 9, 11, 21], Operations: [] Exploring Operation: 28-9=19, Resulting Numbers: [11, 21, 19] Generated Node #2: [11, 21, 19] from Operation: 28-9=19 Current State: 13:[11, 21, 19], Operations: ['28-9=19'] Exploring Operation: 11+21=32, Resulting Numbers: [19, 32] Generated Node #3: [19, 32] from Operation: 11+21=32 Current State: 13:[19, 32], Operations: ['28-9=19', '11+21=32'] Exploring Operation: 32-19=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 46, 23, 58 ]
71
[ "46/23=2", "58*2=116", "116-45=71" ]
Current State: 71:[45, 46, 23, 58], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [45, 58, 2] Generated Node #2: [45, 58, 2] from Operation: 46/23=2 Current State: 71:[45, 58, 2], Operations: ['46/23=2'] Exploring Operation: 58*2=116, Resulting Numbers: [45, 116] Generated Node #3: [45, 116] from Operation: 58*2=116 Current State: 71:[45, 116], Operations: ['46/23=2', '58*2=116'] Exploring Operation: 116-45=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 83, 11, 6 ]
73
[ "83-76=7", "11*6=66", "7+66=73" ]
Current State: 73:[76, 83, 11, 6], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [11, 6, 7] Generated Node #2: [11, 6, 7] from Operation: 83-76=7 Current State: 73:[11, 6, 7], Operations: ['83-76=7'] Exploring Operation: 11*6=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 11*6=66 Current State: 73:[7, 66], Operations: ['83-76=7', '11*6=66'] Exploring Operation: 7+66=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 52, 51, 86, 78 ]
95
[ "52+51=103", "86-78=8", "103-8=95" ]
Current State: 95:[52, 51, 86, 78], Operations: [] Exploring Operation: 52+51=103, Resulting Numbers: [86, 78, 103] Generated Node #2: [86, 78, 103] from Operation: 52+51=103 Current State: 95:[86, 78, 103], Operations: ['52+51=103'] Exploring Operation: 86-78=8, Resulting Numbers: [103, 8] Generated Node #3: [103, 8] from Operation: 86-78=8 Current State: 95:[103, 8], Operations: ['52+51=103', '86-78=8'] Exploring Operation: 103-8=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 56, 42, 37 ]
86
[ "42/6=7", "56+37=93", "93-7=86" ]
Current State: 86:[6, 56, 42, 37], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [56, 37, 7] Generated Node #2: [56, 37, 7] from Operation: 42/6=7 Current State: 86:[56, 37, 7], Operations: ['42/6=7'] Exploring Operation: 56+37=93, Resulting Numbers: [7, 93] Generated Node #3: [7, 93] from Operation: 56+37=93 Current State: 86:[7, 93], Operations: ['42/6=7', '56+37=93'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 10, 71, 60, 16 ]
93
[ "60/10=6", "71+16=87", "6+87=93" ]
Current State: 93:[10, 71, 60, 16], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [71, 16, 6] Generated Node #2: [71, 16, 6] from Operation: 60/10=6 Current State: 93:[71, 16, 6], Operations: ['60/10=6'] Exploring Operation: 71+16=87, Resulting Numbers: [6, 87] Generated Node #3: [6, 87] from Operation: 71+16=87 Current State: 93:[6, 87], Operations: ['60/10=6', '71+16=87'] Exploring Operation: 6+87=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 2, 52, 1 ]
26
[ "77+2=79", "52+1=53", "79-53=26" ]
Current State: 26:[77, 2, 52, 1], Operations: [] Exploring Operation: 77+2=79, Resulting Numbers: [52, 1, 79] Generated Node #2: [52, 1, 79] from Operation: 77+2=79 Current State: 26:[52, 1, 79], Operations: ['77+2=79'] Exploring Operation: 52+1=53, Resulting Numbers: [79, 53] Generated Node #3: [79, 53] from Operation: 52+1=53 Current State: 26:[79, 53], Operations: ['77+2=79', '52+1=53'] Exploring Operation: 79-53=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 91, 18, 2, 17 ]
93
[ "91+2=93", "18-17=1", "93*1=93" ]
Current State: 93:[91, 18, 2, 17], Operations: [] Exploring Operation: 91+2=93, Resulting Numbers: [18, 17, 93] Generated Node #2: [18, 17, 93] from Operation: 91+2=93 Current State: 93:[18, 17, 93], Operations: ['91+2=93'] Exploring Operation: 18-17=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 18-17=1 Current State: 93:[93, 1], Operations: ['91+2=93', '18-17=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 57, 77, 16, 75 ]
65
[ "77-75=2", "16/2=8", "57+8=65" ]
Current State: 65:[57, 77, 16, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [57, 16, 2] Generated Node #2: [57, 16, 2] from Operation: 77-75=2 Current State: 65:[57, 16, 2], Operations: ['77-75=2'] Exploring Operation: 16/2=8, Resulting Numbers: [57, 8] Generated Node #3: [57, 8] from Operation: 16/2=8 Current State: 65:[57, 8], Operations: ['77-75=2', '16/2=8'] Exploring Operation: 57+8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 91, 99, 81, 93 ]
96
[ "91*99=9009", "9009-81=8928", "8928/93=96" ]
Current State: 96:[91, 99, 81, 93], Operations: [] Exploring Operation: 91*99=9009, Resulting Numbers: [81, 93, 9009] Generated Node #2: [81, 93, 9009] from Operation: 91*99=9009 Current State: 96:[81, 93, 9009], Operations: ['91*99=9009'] Exploring Operation: 9009-81=8928, Resulting Numbers: [93, 8928] Generated Node #3: [93, 8928] from Operation: 9009-81=8928 Current State: 96:[93, 8928], Operations: ['91*99=9009', '9009-81=8928'] Exploring Operation: 8928/93=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 46, 40, 85 ]
82
[ "46-9=37", "85-40=45", "37+45=82" ]
Current State: 82:[9, 46, 40, 85], Operations: [] Exploring Operation: 46-9=37, Resulting Numbers: [40, 85, 37] Generated Node #2: [40, 85, 37] from Operation: 46-9=37 Current State: 82:[40, 85, 37], Operations: ['46-9=37'] Exploring Operation: 85-40=45, Resulting Numbers: [37, 45] Generated Node #3: [37, 45] from Operation: 85-40=45 Current State: 82:[37, 45], Operations: ['46-9=37', '85-40=45'] Exploring Operation: 37+45=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 58, 61, 26, 60 ]
70
[ "60-58=2", "61-26=35", "2*35=70" ]
Current State: 70:[58, 61, 26, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [61, 26, 2] Generated Node #2: [61, 26, 2] from Operation: 60-58=2 Current State: 70:[61, 26, 2], Operations: ['60-58=2'] Exploring Operation: 61-26=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 61-26=35 Current State: 70:[2, 35], Operations: ['60-58=2', '61-26=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 17, 53, 65 ]
16
[ "5*65=325", "325-53=272", "272/17=16" ]
Current State: 16:[5, 17, 53, 65], Operations: [] Exploring Operation: 5*65=325, Resulting Numbers: [17, 53, 325] Generated Node #2: [17, 53, 325] from Operation: 5*65=325 Current State: 16:[17, 53, 325], Operations: ['5*65=325'] Exploring Operation: 325-53=272, Resulting Numbers: [17, 272] Generated Node #3: [17, 272] from Operation: 325-53=272 Current State: 16:[17, 272], Operations: ['5*65=325', '325-53=272'] Exploring Operation: 272/17=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 75, 5, 23 ]
28
[ "10+5=15", "75/15=5", "23+5=28" ]
Current State: 28:[10, 75, 5, 23], Operations: [] Exploring Operation: 10+5=15, Resulting Numbers: [75, 23, 15] Generated Node #2: [75, 23, 15] from Operation: 10+5=15 Current State: 28:[75, 23, 15], Operations: ['10+5=15'] Exploring Operation: 75/15=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 75/15=5 Current State: 28:[23, 5], Operations: ['10+5=15', '75/15=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 10, 44, 43 ]
87
[ "57-44=13", "10*13=130", "130-43=87" ]
Current State: 87:[57, 10, 44, 43], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [10, 43, 13] Generated Node #2: [10, 43, 13] from Operation: 57-44=13 Current State: 87:[10, 43, 13], Operations: ['57-44=13'] Exploring Operation: 10*13=130, Resulting Numbers: [43, 130] Generated Node #3: [43, 130] from Operation: 10*13=130 Current State: 87:[43, 130], Operations: ['57-44=13', '10*13=130'] Exploring Operation: 130-43=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 19, 5, 34, 28 ]
47
[ "34-19=15", "5*15=75", "75-28=47" ]
Current State: 47:[19, 5, 34, 28], Operations: [] Exploring Operation: 34-19=15, Resulting Numbers: [5, 28, 15] Generated Node #2: [5, 28, 15] from Operation: 34-19=15 Current State: 47:[5, 28, 15], Operations: ['34-19=15'] Exploring Operation: 5*15=75, Resulting Numbers: [28, 75] Generated Node #3: [28, 75] from Operation: 5*15=75 Current State: 47:[28, 75], Operations: ['34-19=15', '5*15=75'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 33, 23, 2 ]
66
[ "44+2=46", "33*46=1518", "1518/23=66" ]
Current State: 66:[44, 33, 23, 2], Operations: [] Exploring Operation: 44+2=46, Resulting Numbers: [33, 23, 46] Generated Node #2: [33, 23, 46] from Operation: 44+2=46 Current State: 66:[33, 23, 46], Operations: ['44+2=46'] Exploring Operation: 33*46=1518, Resulting Numbers: [23, 1518] Generated Node #3: [23, 1518] from Operation: 33*46=1518 Current State: 66:[23, 1518], Operations: ['44+2=46', '33*46=1518'] Exploring Operation: 1518/23=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 21, 72, 60 ]
66
[ "21-9=12", "72/12=6", "60+6=66" ]
Current State: 66:[9, 21, 72, 60], Operations: [] Exploring Operation: 21-9=12, Resulting Numbers: [72, 60, 12] Generated Node #2: [72, 60, 12] from Operation: 21-9=12 Current State: 66:[72, 60, 12], Operations: ['21-9=12'] Exploring Operation: 72/12=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 72/12=6 Current State: 66:[60, 6], Operations: ['21-9=12', '72/12=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 34, 3, 37 ]
55
[ "84-37=47", "34*3=102", "102-47=55" ]
Current State: 55:[84, 34, 3, 37], Operations: [] Exploring Operation: 84-37=47, Resulting Numbers: [34, 3, 47] Generated Node #2: [34, 3, 47] from Operation: 84-37=47 Current State: 55:[34, 3, 47], Operations: ['84-37=47'] Exploring Operation: 34*3=102, Resulting Numbers: [47, 102] Generated Node #3: [47, 102] from Operation: 34*3=102 Current State: 55:[47, 102], Operations: ['84-37=47', '34*3=102'] Exploring Operation: 102-47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 73, 55, 8 ]
68
[ "94-73=21", "55-8=47", "21+47=68" ]
Current State: 68:[94, 73, 55, 8], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [55, 8, 21] Generated Node #2: [55, 8, 21] from Operation: 94-73=21 Current State: 68:[55, 8, 21], Operations: ['94-73=21'] Exploring Operation: 55-8=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 55-8=47 Current State: 68:[21, 47], Operations: ['94-73=21', '55-8=47'] Exploring Operation: 21+47=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 26, 68, 68, 13 ]
97
[ "68-26=42", "68-13=55", "42+55=97" ]
Current State: 97:[26, 68, 68, 13], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [13, 42] Generated Node #2: [13, 42] from Operation: 68-26=42 Current State: 97:[13, 42], Operations: ['68-26=42'] Exploring Operation: 68-13=55, Resulting Numbers: [42, 55] Generated Node #3: [42, 55] from Operation: 68-13=55 Current State: 97:[42, 55], Operations: ['68-26=42', '68-13=55'] Exploring Operation: 42+55=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 79, 92, 11, 77 ]
35
[ "79-77=2", "92/2=46", "46-11=35" ]
Current State: 35:[79, 92, 11, 77], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [92, 11, 2] Generated Node #2: [92, 11, 2] from Operation: 79-77=2 Current State: 35:[92, 11, 2], Operations: ['79-77=2'] Exploring Operation: 92/2=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 92/2=46 Current State: 35:[11, 46], Operations: ['79-77=2', '92/2=46'] Exploring Operation: 46-11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 36, 11, 84 ]
49
[ "84/42=2", "36+11=47", "2+47=49" ]
Current State: 49:[42, 36, 11, 84], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [36, 11, 2] Generated Node #2: [36, 11, 2] from Operation: 84/42=2 Current State: 49:[36, 11, 2], Operations: ['84/42=2'] Exploring Operation: 36+11=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 36+11=47 Current State: 49:[2, 47], Operations: ['84/42=2', '36+11=47'] Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 53, 94, 48, 56 ]
50
[ "56-53=3", "48*3=144", "144-94=50" ]
Current State: 50:[53, 94, 48, 56], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [94, 48, 3] Generated Node #2: [94, 48, 3] from Operation: 56-53=3 Current State: 50:[94, 48, 3], Operations: ['56-53=3'] Exploring Operation: 48*3=144, Resulting Numbers: [94, 144] Generated Node #3: [94, 144] from Operation: 48*3=144 Current State: 50:[94, 144], Operations: ['56-53=3', '48*3=144'] Exploring Operation: 144-94=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 41, 51, 9 ]
53
[ "59-41=18", "18/9=2", "51+2=53" ]
Current State: 53:[59, 41, 51, 9], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [51, 9, 18] Generated Node #2: [51, 9, 18] from Operation: 59-41=18 Current State: 53:[51, 9, 18], Operations: ['59-41=18'] Exploring Operation: 18/9=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 18/9=2 Current State: 53:[51, 2], Operations: ['59-41=18', '18/9=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 15, 55, 74 ]
99
[ "15*55=825", "825/33=25", "74+25=99" ]
Current State: 99:[33, 15, 55, 74], Operations: [] Exploring Operation: 15*55=825, Resulting Numbers: [33, 74, 825] Generated Node #2: [33, 74, 825] from Operation: 15*55=825 Current State: 99:[33, 74, 825], Operations: ['15*55=825'] Exploring Operation: 825/33=25, Resulting Numbers: [74, 25] Generated Node #3: [74, 25] from Operation: 825/33=25 Current State: 99:[74, 25], Operations: ['15*55=825', '825/33=25'] Exploring Operation: 74+25=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 62, 38, 35, 19 ]
84
[ "62+38=100", "35-19=16", "100-16=84" ]
Current State: 84:[62, 38, 35, 19], Operations: [] Exploring Operation: 62+38=100, Resulting Numbers: [35, 19, 100] Generated Node #2: [35, 19, 100] from Operation: 62+38=100 Current State: 84:[35, 19, 100], Operations: ['62+38=100'] Exploring Operation: 35-19=16, Resulting Numbers: [100, 16] Generated Node #3: [100, 16] from Operation: 35-19=16 Current State: 84:[100, 16], Operations: ['62+38=100', '35-19=16'] Exploring Operation: 100-16=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 1, 12, 83, 69 ]
76
[ "1+83=84", "84/12=7", "69+7=76" ]
Current State: 76:[1, 12, 83, 69], Operations: [] Exploring Operation: 1+83=84, Resulting Numbers: [12, 69, 84] Generated Node #2: [12, 69, 84] from Operation: 1+83=84 Current State: 76:[12, 69, 84], Operations: ['1+83=84'] Exploring Operation: 84/12=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 84/12=7 Current State: 76:[69, 7], Operations: ['1+83=84', '84/12=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 71, 62, 67, 11 ]
12
[ "71-11=60", "67-62=5", "60/5=12" ]
Current State: 12:[71, 62, 67, 11], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [62, 67, 60] Generated Node #2: [62, 67, 60] from Operation: 71-11=60 Current State: 12:[62, 67, 60], Operations: ['71-11=60'] Exploring Operation: 67-62=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 67-62=5 Current State: 12:[60, 5], Operations: ['71-11=60', '67-62=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 86, 16, 43, 52 ]
88
[ "86/43=2", "52*2=104", "104-16=88" ]
Current State: 88:[86, 16, 43, 52], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [16, 52, 2] Generated Node #2: [16, 52, 2] from Operation: 86/43=2 Current State: 88:[16, 52, 2], Operations: ['86/43=2'] Exploring Operation: 52*2=104, Resulting Numbers: [16, 104] Generated Node #3: [16, 104] from Operation: 52*2=104 Current State: 88:[16, 104], Operations: ['86/43=2', '52*2=104'] Exploring Operation: 104-16=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 95, 67, 48 ]
98
[ "83-67=16", "48/16=3", "95+3=98" ]
Current State: 98:[83, 95, 67, 48], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [95, 48, 16] Generated Node #2: [95, 48, 16] from Operation: 83-67=16 Current State: 98:[95, 48, 16], Operations: ['83-67=16'] Exploring Operation: 48/16=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 48/16=3 Current State: 98:[95, 3], Operations: ['83-67=16', '48/16=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 53, 51, 55 ]
76
[ "93-55=38", "53-51=2", "38*2=76" ]
Current State: 76:[93, 53, 51, 55], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [53, 51, 38] Generated Node #2: [53, 51, 38] from Operation: 93-55=38 Current State: 76:[53, 51, 38], Operations: ['93-55=38'] Exploring Operation: 53-51=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 53-51=2 Current State: 76:[38, 2], Operations: ['93-55=38', '53-51=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 22, 30, 18, 24 ]
44
[ "22*24=528", "30-18=12", "528/12=44" ]
Current State: 44:[22, 30, 18, 24], Operations: [] Exploring Operation: 22*24=528, Resulting Numbers: [30, 18, 528] Generated Node #2: [30, 18, 528] from Operation: 22*24=528 Current State: 44:[30, 18, 528], Operations: ['22*24=528'] Exploring Operation: 30-18=12, Resulting Numbers: [528, 12] Generated Node #3: [528, 12] from Operation: 30-18=12 Current State: 44:[528, 12], Operations: ['22*24=528', '30-18=12'] Exploring Operation: 528/12=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 92, 9, 73, 45 ]
95
[ "92-73=19", "45/9=5", "19*5=95" ]
Current State: 95:[92, 9, 73, 45], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [9, 45, 19] Generated Node #2: [9, 45, 19] from Operation: 92-73=19 Current State: 95:[9, 45, 19], Operations: ['92-73=19'] Exploring Operation: 45/9=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 45/9=5 Current State: 95:[19, 5], Operations: ['92-73=19', '45/9=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 15, 4, 5, 76 ]
52
[ "15+4=19", "76-5=71", "71-19=52" ]
Current State: 52:[15, 4, 5, 76], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [5, 76, 19] Generated Node #2: [5, 76, 19] from Operation: 15+4=19 Current State: 52:[5, 76, 19], Operations: ['15+4=19'] Exploring Operation: 76-5=71, Resulting Numbers: [19, 71] Generated Node #3: [19, 71] from Operation: 76-5=71 Current State: 52:[19, 71], Operations: ['15+4=19', '76-5=71'] Exploring Operation: 71-19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 74, 9, 74, 94 ]
94
[ "74-74=0", "9*0=0", "94+0=94" ]
Current State: 94:[74, 9, 74, 94], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [9, 94, 0] Generated Node #2: [9, 94, 0] from Operation: 74-74=0 Current State: 94:[9, 94, 0], Operations: ['74-74=0'] Exploring Operation: 9*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 9*0=0 Current State: 94:[94, 0], Operations: ['74-74=0', '9*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 96, 87, 25 ]
83
[ "25-1=24", "96/24=4", "87-4=83" ]
Current State: 83:[1, 96, 87, 25], Operations: [] Exploring Operation: 25-1=24, Resulting Numbers: [96, 87, 24] Generated Node #2: [96, 87, 24] from Operation: 25-1=24 Current State: 83:[96, 87, 24], Operations: ['25-1=24'] Exploring Operation: 96/24=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 96/24=4 Current State: 83:[87, 4], Operations: ['25-1=24', '96/24=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 87, 61, 7, 13 ]
57
[ "87+61=148", "7*13=91", "148-91=57" ]
Current State: 57:[87, 61, 7, 13], Operations: [] Exploring Operation: 87+61=148, Resulting Numbers: [7, 13, 148] Generated Node #2: [7, 13, 148] from Operation: 87+61=148 Current State: 57:[7, 13, 148], Operations: ['87+61=148'] Exploring Operation: 7*13=91, Resulting Numbers: [148, 91] Generated Node #3: [148, 91] from Operation: 7*13=91 Current State: 57:[148, 91], Operations: ['87+61=148', '7*13=91'] Exploring Operation: 148-91=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 14, 80, 56 ]
21
[ "64+56=120", "14*120=1680", "1680/80=21" ]
Current State: 21:[64, 14, 80, 56], Operations: [] Exploring Operation: 64+56=120, Resulting Numbers: [14, 80, 120] Generated Node #2: [14, 80, 120] from Operation: 64+56=120 Current State: 21:[14, 80, 120], Operations: ['64+56=120'] Exploring Operation: 14*120=1680, Resulting Numbers: [80, 1680] Generated Node #3: [80, 1680] from Operation: 14*120=1680 Current State: 21:[80, 1680], Operations: ['64+56=120', '14*120=1680'] Exploring Operation: 1680/80=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 14, 84, 83, 78 ]
93
[ "14+84=98", "83-78=5", "98-5=93" ]
Current State: 93:[14, 84, 83, 78], Operations: [] Exploring Operation: 14+84=98, Resulting Numbers: [83, 78, 98] Generated Node #2: [83, 78, 98] from Operation: 14+84=98 Current State: 93:[83, 78, 98], Operations: ['14+84=98'] Exploring Operation: 83-78=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 83-78=5 Current State: 93:[98, 5], Operations: ['14+84=98', '83-78=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 76, 34, 49, 84 ]
23
[ "76+34=110", "49+84=133", "133-110=23" ]
Current State: 23:[76, 34, 49, 84], Operations: [] Exploring Operation: 76+34=110, Resulting Numbers: [49, 84, 110] Generated Node #2: [49, 84, 110] from Operation: 76+34=110 Current State: 23:[49, 84, 110], Operations: ['76+34=110'] Exploring Operation: 49+84=133, Resulting Numbers: [110, 133] Generated Node #3: [110, 133] from Operation: 49+84=133 Current State: 23:[110, 133], Operations: ['76+34=110', '49+84=133'] Exploring Operation: 133-110=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 52, 94, 68 ]
21
[ "68-66=2", "94-52=42", "42/2=21" ]
Current State: 21:[66, 52, 94, 68], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [52, 94, 2] Generated Node #2: [52, 94, 2] from Operation: 68-66=2 Current State: 21:[52, 94, 2], Operations: ['68-66=2'] Exploring Operation: 94-52=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 94-52=42 Current State: 21:[2, 42], Operations: ['68-66=2', '94-52=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 45, 47, 83, 98 ]
68
[ "47-45=2", "83*2=166", "166-98=68" ]
Current State: 68:[45, 47, 83, 98], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [83, 98, 2] Generated Node #2: [83, 98, 2] from Operation: 47-45=2 Current State: 68:[83, 98, 2], Operations: ['47-45=2'] Exploring Operation: 83*2=166, Resulting Numbers: [98, 166] Generated Node #3: [98, 166] from Operation: 83*2=166 Current State: 68:[98, 166], Operations: ['47-45=2', '83*2=166'] Exploring Operation: 166-98=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 88, 22, 49 ]
52
[ "49-1=48", "88/22=4", "48+4=52" ]
Current State: 52:[1, 88, 22, 49], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [88, 22, 48] Generated Node #2: [88, 22, 48] from Operation: 49-1=48 Current State: 52:[88, 22, 48], Operations: ['49-1=48'] Exploring Operation: 88/22=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 88/22=4 Current State: 52:[48, 4], Operations: ['49-1=48', '88/22=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 63, 18, 43 ]
81
[ "43+63=106", "43-18=25", "106-25=81" ]
Current State: 81:[43, 63, 18, 43], Operations: [] Exploring Operation: 43+63=106, Resulting Numbers: [18, 106] Generated Node #2: [18, 106] from Operation: 43+63=106 Current State: 81:[18, 106], Operations: ['43+63=106'] Exploring Operation: 43-18=25, Resulting Numbers: [106, 25] Generated Node #3: [106, 25] from Operation: 43-18=25 Current State: 81:[106, 25], Operations: ['43+63=106', '43-18=25'] Exploring Operation: 106-25=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 18, 9, 55 ]
43
[ "6*18=108", "108/9=12", "55-12=43" ]
Current State: 43:[6, 18, 9, 55], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [9, 55, 108] Generated Node #2: [9, 55, 108] from Operation: 6*18=108 Current State: 43:[9, 55, 108], Operations: ['6*18=108'] Exploring Operation: 108/9=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 108/9=12 Current State: 43:[55, 12], Operations: ['6*18=108', '108/9=12'] Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 96, 61, 24, 81 ]
92
[ "96-61=35", "81-24=57", "35+57=92" ]
Current State: 92:[96, 61, 24, 81], Operations: [] Exploring Operation: 96-61=35, Resulting Numbers: [24, 81, 35] Generated Node #2: [24, 81, 35] from Operation: 96-61=35 Current State: 92:[24, 81, 35], Operations: ['96-61=35'] Exploring Operation: 81-24=57, Resulting Numbers: [35, 57] Generated Node #3: [35, 57] from Operation: 81-24=57 Current State: 92:[35, 57], Operations: ['96-61=35', '81-24=57'] Exploring Operation: 35+57=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 38, 49, 15, 60 ]
34
[ "49-38=11", "60-15=45", "45-11=34" ]
Current State: 34:[38, 49, 15, 60], Operations: [] Exploring Operation: 49-38=11, Resulting Numbers: [15, 60, 11] Generated Node #2: [15, 60, 11] from Operation: 49-38=11 Current State: 34:[15, 60, 11], Operations: ['49-38=11'] Exploring Operation: 60-15=45, Resulting Numbers: [11, 45] Generated Node #3: [11, 45] from Operation: 60-15=45 Current State: 34:[11, 45], Operations: ['49-38=11', '60-15=45'] Exploring Operation: 45-11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 45, 9, 65, 84 ]
35
[ "45+9=54", "84-65=19", "54-19=35" ]
Current State: 35:[45, 9, 65, 84], Operations: [] Exploring Operation: 45+9=54, Resulting Numbers: [65, 84, 54] Generated Node #2: [65, 84, 54] from Operation: 45+9=54 Current State: 35:[65, 84, 54], Operations: ['45+9=54'] Exploring Operation: 84-65=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 84-65=19 Current State: 35:[54, 19], Operations: ['45+9=54', '84-65=19'] Exploring Operation: 54-19=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 30, 4, 33 ]
62
[ "30-28=2", "33*2=66", "66-4=62" ]
Current State: 62:[28, 30, 4, 33], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [4, 33, 2] Generated Node #2: [4, 33, 2] from Operation: 30-28=2 Current State: 62:[4, 33, 2], Operations: ['30-28=2'] Exploring Operation: 33*2=66, Resulting Numbers: [4, 66] Generated Node #3: [4, 66] from Operation: 33*2=66 Current State: 62:[4, 66], Operations: ['30-28=2', '33*2=66'] Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 80, 91, 41 ]
18
[ "80-41=39", "42*39=1638", "1638/91=18" ]
Current State: 18:[42, 80, 91, 41], Operations: [] Exploring Operation: 80-41=39, Resulting Numbers: [42, 91, 39] Generated Node #2: [42, 91, 39] from Operation: 80-41=39 Current State: 18:[42, 91, 39], Operations: ['80-41=39'] Exploring Operation: 42*39=1638, Resulting Numbers: [91, 1638] Generated Node #3: [91, 1638] from Operation: 42*39=1638 Current State: 18:[91, 1638], Operations: ['80-41=39', '42*39=1638'] Exploring Operation: 1638/91=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 97, 73, 20, 10 ]
30
[ "97+73=170", "20*10=200", "200-170=30" ]
Current State: 30:[97, 73, 20, 10], Operations: [] Exploring Operation: 97+73=170, Resulting Numbers: [20, 10, 170] Generated Node #2: [20, 10, 170] from Operation: 97+73=170 Current State: 30:[20, 10, 170], Operations: ['97+73=170'] Exploring Operation: 20*10=200, Resulting Numbers: [170, 200] Generated Node #3: [170, 200] from Operation: 20*10=200 Current State: 30:[170, 200], Operations: ['97+73=170', '20*10=200'] Exploring Operation: 200-170=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 22, 72, 2 ]
31
[ "72-54=18", "18/2=9", "22+9=31" ]
Current State: 31:[54, 22, 72, 2], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [22, 2, 18] Generated Node #2: [22, 2, 18] from Operation: 72-54=18 Current State: 31:[22, 2, 18], Operations: ['72-54=18'] Exploring Operation: 18/2=9, Resulting Numbers: [22, 9] Generated Node #3: [22, 9] from Operation: 18/2=9 Current State: 31:[22, 9], Operations: ['72-54=18', '18/2=9'] Exploring Operation: 22+9=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 41, 21, 82, 86 ]
66
[ "41+21=62", "86-82=4", "62+4=66" ]
Current State: 66:[41, 21, 82, 86], Operations: [] Exploring Operation: 41+21=62, Resulting Numbers: [82, 86, 62] Generated Node #2: [82, 86, 62] from Operation: 41+21=62 Current State: 66:[82, 86, 62], Operations: ['41+21=62'] Exploring Operation: 86-82=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 86-82=4 Current State: 66:[62, 4], Operations: ['41+21=62', '86-82=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 98, 67, 18, 90 ]
33
[ "98+67=165", "90/18=5", "165/5=33" ]
Current State: 33:[98, 67, 18, 90], Operations: [] Exploring Operation: 98+67=165, Resulting Numbers: [18, 90, 165] Generated Node #2: [18, 90, 165] from Operation: 98+67=165 Current State: 33:[18, 90, 165], Operations: ['98+67=165'] Exploring Operation: 90/18=5, Resulting Numbers: [165, 5] Generated Node #3: [165, 5] from Operation: 90/18=5 Current State: 33:[165, 5], Operations: ['98+67=165', '90/18=5'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 59, 69, 98 ]
41
[ "71-59=12", "98-69=29", "12+29=41" ]
Current State: 41:[71, 59, 69, 98], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [69, 98, 12] Generated Node #2: [69, 98, 12] from Operation: 71-59=12 Current State: 41:[69, 98, 12], Operations: ['71-59=12'] Exploring Operation: 98-69=29, Resulting Numbers: [12, 29] Generated Node #3: [12, 29] from Operation: 98-69=29 Current State: 41:[12, 29], Operations: ['71-59=12', '98-69=29'] Exploring Operation: 12+29=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 36, 51, 41 ]
84
[ "51-41=10", "12*10=120", "120-36=84" ]
Current State: 84:[12, 36, 51, 41], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [12, 36, 10] Generated Node #2: [12, 36, 10] from Operation: 51-41=10 Current State: 84:[12, 36, 10], Operations: ['51-41=10'] Exploring Operation: 12*10=120, Resulting Numbers: [36, 120] Generated Node #3: [36, 120] from Operation: 12*10=120 Current State: 84:[36, 120], Operations: ['51-41=10', '12*10=120'] Exploring Operation: 120-36=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 19, 38, 54 ]
58
[ "54-25=29", "38/19=2", "29*2=58" ]
Current State: 58:[25, 19, 38, 54], Operations: [] Exploring Operation: 54-25=29, Resulting Numbers: [19, 38, 29] Generated Node #2: [19, 38, 29] from Operation: 54-25=29 Current State: 58:[19, 38, 29], Operations: ['54-25=29'] Exploring Operation: 38/19=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 38/19=2 Current State: 58:[29, 2], Operations: ['54-25=29', '38/19=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 46, 38, 69, 15 ]
92
[ "46-38=8", "69+15=84", "8+84=92" ]
Current State: 92:[46, 38, 69, 15], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [69, 15, 8] Generated Node #2: [69, 15, 8] from Operation: 46-38=8 Current State: 92:[69, 15, 8], Operations: ['46-38=8'] Exploring Operation: 69+15=84, Resulting Numbers: [8, 84] Generated Node #3: [8, 84] from Operation: 69+15=84 Current State: 92:[8, 84], Operations: ['46-38=8', '69+15=84'] Exploring Operation: 8+84=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 25, 49, 56 ]
88
[ "49-25=24", "6*24=144", "144-56=88" ]
Current State: 88:[6, 25, 49, 56], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [6, 56, 24] Generated Node #2: [6, 56, 24] from Operation: 49-25=24 Current State: 88:[6, 56, 24], Operations: ['49-25=24'] Exploring Operation: 6*24=144, Resulting Numbers: [56, 144] Generated Node #3: [56, 144] from Operation: 6*24=144 Current State: 88:[56, 144], Operations: ['49-25=24', '6*24=144'] Exploring Operation: 144-56=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 54, 7, 4, 37 ]
96
[ "54+7=61", "61-37=24", "4*24=96" ]
Current State: 96:[54, 7, 4, 37], Operations: [] Exploring Operation: 54+7=61, Resulting Numbers: [4, 37, 61] Generated Node #2: [4, 37, 61] from Operation: 54+7=61 Current State: 96:[4, 37, 61], Operations: ['54+7=61'] Exploring Operation: 61-37=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 61-37=24 Current State: 96:[4, 24], Operations: ['54+7=61', '61-37=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 26, 67, 81, 92 ]
82
[ "26+67=93", "92-81=11", "93-11=82" ]
Current State: 82:[26, 67, 81, 92], Operations: [] Exploring Operation: 26+67=93, Resulting Numbers: [81, 92, 93] Generated Node #2: [81, 92, 93] from Operation: 26+67=93 Current State: 82:[81, 92, 93], Operations: ['26+67=93'] Exploring Operation: 92-81=11, Resulting Numbers: [93, 11] Generated Node #3: [93, 11] from Operation: 92-81=11 Current State: 82:[93, 11], Operations: ['26+67=93', '92-81=11'] Exploring Operation: 93-11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 42, 3, 84, 62 ]
68
[ "42/3=14", "84/14=6", "62+6=68" ]
Current State: 68:[42, 3, 84, 62], Operations: [] Exploring Operation: 42/3=14, Resulting Numbers: [84, 62, 14] Generated Node #2: [84, 62, 14] from Operation: 42/3=14 Current State: 68:[84, 62, 14], Operations: ['42/3=14'] Exploring Operation: 84/14=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 84/14=6 Current State: 68:[62, 6], Operations: ['42/3=14', '84/14=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 23, 51, 23 ]
55
[ "51-23=28", "28-23=5", "11*5=55" ]
Current State: 55:[11, 23, 51, 23], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [11, 28] Generated Node #2: [11, 28] from Operation: 51-23=28 Current State: 55:[11, 28], Operations: ['51-23=28'] Exploring Operation: 28-23=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 28-23=5 Current State: 55:[11, 5], Operations: ['51-23=28', '28-23=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 62, 15, 48 ]
22
[ "62-15=47", "48-47=1", "22*1=22" ]
Current State: 22:[22, 62, 15, 48], Operations: [] Exploring Operation: 62-15=47, Resulting Numbers: [22, 48, 47] Generated Node #2: [22, 48, 47] from Operation: 62-15=47 Current State: 22:[22, 48, 47], Operations: ['62-15=47'] Exploring Operation: 48-47=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 48-47=1 Current State: 22:[22, 1], Operations: ['62-15=47', '48-47=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 3, 12, 52 ]
43
[ "9/3=3", "52-12=40", "3+40=43" ]
Current State: 43:[9, 3, 12, 52], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [12, 52, 3] Generated Node #2: [12, 52, 3] from Operation: 9/3=3 Current State: 43:[12, 52, 3], Operations: ['9/3=3'] Exploring Operation: 52-12=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 52-12=40 Current State: 43:[3, 40], Operations: ['9/3=3', '52-12=40'] Exploring Operation: 3+40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 45, 57, 61, 26 ]
58
[ "45-26=19", "57/19=3", "61-3=58" ]
Current State: 58:[45, 57, 61, 26], Operations: [] Exploring Operation: 45-26=19, Resulting Numbers: [57, 61, 19] Generated Node #2: [57, 61, 19] from Operation: 45-26=19 Current State: 58:[57, 61, 19], Operations: ['45-26=19'] Exploring Operation: 57/19=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 57/19=3 Current State: 58:[61, 3], Operations: ['45-26=19', '57/19=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 91, 59, 6 ]
79
[ "41+91=132", "59-6=53", "132-53=79" ]
Current State: 79:[41, 91, 59, 6], Operations: [] Exploring Operation: 41+91=132, Resulting Numbers: [59, 6, 132] Generated Node #2: [59, 6, 132] from Operation: 41+91=132 Current State: 79:[59, 6, 132], Operations: ['41+91=132'] Exploring Operation: 59-6=53, Resulting Numbers: [132, 53] Generated Node #3: [132, 53] from Operation: 59-6=53 Current State: 79:[132, 53], Operations: ['41+91=132', '59-6=53'] Exploring Operation: 132-53=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 99, 25, 97, 98 ]
48
[ "99-97=2", "25*2=50", "98-50=48" ]
Current State: 48:[99, 25, 97, 98], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [25, 98, 2] Generated Node #2: [25, 98, 2] from Operation: 99-97=2 Current State: 48:[25, 98, 2], Operations: ['99-97=2'] Exploring Operation: 25*2=50, Resulting Numbers: [98, 50] Generated Node #3: [98, 50] from Operation: 25*2=50 Current State: 48:[98, 50], Operations: ['99-97=2', '25*2=50'] Exploring Operation: 98-50=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 54, 6, 81 ]
11
[ "69-54=15", "81-15=66", "66/6=11" ]
Current State: 11:[69, 54, 6, 81], Operations: [] Exploring Operation: 69-54=15, Resulting Numbers: [6, 81, 15] Generated Node #2: [6, 81, 15] from Operation: 69-54=15 Current State: 11:[6, 81, 15], Operations: ['69-54=15'] Exploring Operation: 81-15=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 81-15=66 Current State: 11:[6, 66], Operations: ['69-54=15', '81-15=66'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 59, 33, 4 ]
34
[ "62-59=3", "33+4=37", "37-3=34" ]
Current State: 34:[62, 59, 33, 4], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [33, 4, 3] Generated Node #2: [33, 4, 3] from Operation: 62-59=3 Current State: 34:[33, 4, 3], Operations: ['62-59=3'] Exploring Operation: 33+4=37, Resulting Numbers: [3, 37] Generated Node #3: [3, 37] from Operation: 33+4=37 Current State: 34:[3, 37], Operations: ['62-59=3', '33+4=37'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 23, 3, 83, 1 ]
30
[ "83-23=60", "3-1=2", "60/2=30" ]
Current State: 30:[23, 3, 83, 1], Operations: [] Exploring Operation: 83-23=60, Resulting Numbers: [3, 1, 60] Generated Node #2: [3, 1, 60] from Operation: 83-23=60 Current State: 30:[3, 1, 60], Operations: ['83-23=60'] Exploring Operation: 3-1=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 3-1=2 Current State: 30:[60, 2], Operations: ['83-23=60', '3-1=2'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 79, 7, 87 ]
78
[ "2*79=158", "87-7=80", "158-80=78" ]
Current State: 78:[2, 79, 7, 87], Operations: [] Exploring Operation: 2*79=158, Resulting Numbers: [7, 87, 158] Generated Node #2: [7, 87, 158] from Operation: 2*79=158 Current State: 78:[7, 87, 158], Operations: ['2*79=158'] Exploring Operation: 87-7=80, Resulting Numbers: [158, 80] Generated Node #3: [158, 80] from Operation: 87-7=80 Current State: 78:[158, 80], Operations: ['2*79=158', '87-7=80'] Exploring Operation: 158-80=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 41, 81, 79, 35 ]
29
[ "81-79=2", "35*2=70", "70-41=29" ]
Current State: 29:[41, 81, 79, 35], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [41, 35, 2] Generated Node #2: [41, 35, 2] from Operation: 81-79=2 Current State: 29:[41, 35, 2], Operations: ['81-79=2'] Exploring Operation: 35*2=70, Resulting Numbers: [41, 70] Generated Node #3: [41, 70] from Operation: 35*2=70 Current State: 29:[41, 70], Operations: ['81-79=2', '35*2=70'] Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 64, 48, 13 ]
96
[ "64-49=15", "15-13=2", "48*2=96" ]
Current State: 96:[49, 64, 48, 13], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [48, 13, 15] Generated Node #2: [48, 13, 15] from Operation: 64-49=15 Current State: 96:[48, 13, 15], Operations: ['64-49=15'] Exploring Operation: 15-13=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 15-13=2 Current State: 96:[48, 2], Operations: ['64-49=15', '15-13=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 46, 60, 19 ]
39
[ "34+46=80", "60-19=41", "80-41=39" ]
Current State: 39:[34, 46, 60, 19], Operations: [] Exploring Operation: 34+46=80, Resulting Numbers: [60, 19, 80] Generated Node #2: [60, 19, 80] from Operation: 34+46=80 Current State: 39:[60, 19, 80], Operations: ['34+46=80'] Exploring Operation: 60-19=41, Resulting Numbers: [80, 41] Generated Node #3: [80, 41] from Operation: 60-19=41 Current State: 39:[80, 41], Operations: ['34+46=80', '60-19=41'] Exploring Operation: 80-41=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 54, 72, 58, 93 ]
91
[ "54+72=126", "93-58=35", "126-35=91" ]
Current State: 91:[54, 72, 58, 93], Operations: [] Exploring Operation: 54+72=126, Resulting Numbers: [58, 93, 126] Generated Node #2: [58, 93, 126] from Operation: 54+72=126 Current State: 91:[58, 93, 126], Operations: ['54+72=126'] Exploring Operation: 93-58=35, Resulting Numbers: [126, 35] Generated Node #3: [126, 35] from Operation: 93-58=35 Current State: 91:[126, 35], Operations: ['54+72=126', '93-58=35'] Exploring Operation: 126-35=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 85, 13, 19, 27 ]
19
[ "85+19=104", "104/13=8", "27-8=19" ]
Current State: 19:[85, 13, 19, 27], Operations: [] Exploring Operation: 85+19=104, Resulting Numbers: [13, 27, 104] Generated Node #2: [13, 27, 104] from Operation: 85+19=104 Current State: 19:[13, 27, 104], Operations: ['85+19=104'] Exploring Operation: 104/13=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 104/13=8 Current State: 19:[27, 8], Operations: ['85+19=104', '104/13=8'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 51, 32, 36 ]
96
[ "51-12=39", "39-36=3", "32*3=96" ]
Current State: 96:[12, 51, 32, 36], Operations: [] Exploring Operation: 51-12=39, Resulting Numbers: [32, 36, 39] Generated Node #2: [32, 36, 39] from Operation: 51-12=39 Current State: 96:[32, 36, 39], Operations: ['51-12=39'] Exploring Operation: 39-36=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 39-36=3 Current State: 96:[32, 3], Operations: ['51-12=39', '39-36=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4