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
[ 11, 3, 36, 9 ]
23
[ "3*36=108", "108/9=12", "11+12=23" ]
Current State: 23:[11, 3, 36, 9], Operations: [] Exploring Operation: 3*36=108, Resulting Numbers: [11, 9, 108] Generated Node #2: [11, 9, 108] from Operation: 3*36=108 Current State: 23:[11, 9, 108], Operations: ['3*36=108'] Exploring Operation: 108/9=12, Resulting Numbers: [11, 12] Generated Node #3: [11, 12] from Operation: 108/9=12 Current State: 23:[11, 12], Operations: ['3*36=108', '108/9=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 93, 86, 80 ]
88
[ "93-80=13", "26/13=2", "86+2=88" ]
Current State: 88:[26, 93, 86, 80], Operations: [] Exploring Operation: 93-80=13, Resulting Numbers: [26, 86, 13] Generated Node #2: [26, 86, 13] from Operation: 93-80=13 Current State: 88:[26, 86, 13], Operations: ['93-80=13'] Exploring Operation: 26/13=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 26/13=2 Current State: 88:[86, 2], Operations: ['93-80=13', '26/13=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 38, 29, 89 ]
24
[ "56+38=94", "29+89=118", "118-94=24" ]
Current State: 24:[56, 38, 29, 89], Operations: [] Exploring Operation: 56+38=94, Resulting Numbers: [29, 89, 94] Generated Node #2: [29, 89, 94] from Operation: 56+38=94 Current State: 24:[29, 89, 94], Operations: ['56+38=94'] Exploring Operation: 29+89=118, Resulting Numbers: [94, 118] Generated Node #3: [94, 118] from Operation: 29+89=118 Current State: 24:[94, 118], Operations: ['56+38=94', '29+89=118'] Exploring Operation: 118-94=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 79, 22, 31 ]
12
[ "88/22=4", "79-31=48", "48/4=12" ]
Current State: 12:[88, 79, 22, 31], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [79, 31, 4] Generated Node #2: [79, 31, 4] from Operation: 88/22=4 Current State: 12:[79, 31, 4], Operations: ['88/22=4'] Exploring Operation: 79-31=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 79-31=48 Current State: 12:[4, 48], Operations: ['88/22=4', '79-31=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 94, 12, 99, 50 ]
10
[ "99-94=5", "12*5=60", "60-50=10" ]
Current State: 10:[94, 12, 99, 50], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [12, 50, 5] Generated Node #2: [12, 50, 5] from Operation: 99-94=5 Current State: 10:[12, 50, 5], Operations: ['99-94=5'] Exploring Operation: 12*5=60, Resulting Numbers: [50, 60] Generated Node #3: [50, 60] from Operation: 12*5=60 Current State: 10:[50, 60], Operations: ['99-94=5', '12*5=60'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 63, 53, 57 ]
82
[ "57-53=4", "76/4=19", "63+19=82" ]
Current State: 82:[76, 63, 53, 57], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [76, 63, 4] Generated Node #2: [76, 63, 4] from Operation: 57-53=4 Current State: 82:[76, 63, 4], Operations: ['57-53=4'] Exploring Operation: 76/4=19, Resulting Numbers: [63, 19] Generated Node #3: [63, 19] from Operation: 76/4=19 Current State: 82:[63, 19], Operations: ['57-53=4', '76/4=19'] Exploring Operation: 63+19=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 87, 33, 27, 24 ]
83
[ "33-27=6", "24/6=4", "87-4=83" ]
Current State: 83:[87, 33, 27, 24], Operations: [] Exploring Operation: 33-27=6, Resulting Numbers: [87, 24, 6] Generated Node #2: [87, 24, 6] from Operation: 33-27=6 Current State: 83:[87, 24, 6], Operations: ['33-27=6'] Exploring Operation: 24/6=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 24/6=4 Current State: 83:[87, 4], Operations: ['33-27=6', '24/6=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 20, 35, 28 ]
21
[ "60/20=3", "35+28=63", "63/3=21" ]
Current State: 21:[60, 20, 35, 28], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [35, 28, 3] Generated Node #2: [35, 28, 3] from Operation: 60/20=3 Current State: 21:[35, 28, 3], Operations: ['60/20=3'] Exploring Operation: 35+28=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 35+28=63 Current State: 21:[3, 63], Operations: ['60/20=3', '35+28=63'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 75, 52, 25 ]
40
[ "88-75=13", "52-25=27", "13+27=40" ]
Current State: 40:[88, 75, 52, 25], Operations: [] Exploring Operation: 88-75=13, Resulting Numbers: [52, 25, 13] Generated Node #2: [52, 25, 13] from Operation: 88-75=13 Current State: 40:[52, 25, 13], Operations: ['88-75=13'] Exploring Operation: 52-25=27, Resulting Numbers: [13, 27] Generated Node #3: [13, 27] from Operation: 52-25=27 Current State: 40:[13, 27], Operations: ['88-75=13', '52-25=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 8, 13, 83, 8 ]
80
[ "13-8=5", "83-8=75", "5+75=80" ]
Current State: 80:[8, 13, 83, 8], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [83, 5] Generated Node #2: [83, 5] from Operation: 13-8=5 Current State: 80:[83, 5], Operations: ['13-8=5'] Exploring Operation: 83-8=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 83-8=75 Current State: 80:[5, 75], Operations: ['13-8=5', '83-8=75'] Exploring Operation: 5+75=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 13, 66, 5, 52 ]
65
[ "52/13=4", "66-5=61", "4+61=65" ]
Current State: 65:[13, 66, 5, 52], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [66, 5, 4] Generated Node #2: [66, 5, 4] from Operation: 52/13=4 Current State: 65:[66, 5, 4], Operations: ['52/13=4'] Exploring Operation: 66-5=61, Resulting Numbers: [4, 61] Generated Node #3: [4, 61] from Operation: 66-5=61 Current State: 65:[4, 61], Operations: ['52/13=4', '66-5=61'] Exploring Operation: 4+61=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 2, 24, 80 ]
84
[ "12/2=6", "24/6=4", "80+4=84" ]
Current State: 84:[12, 2, 24, 80], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [24, 80, 6] Generated Node #2: [24, 80, 6] from Operation: 12/2=6 Current State: 84:[24, 80, 6], Operations: ['12/2=6'] Exploring Operation: 24/6=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 24/6=4 Current State: 84:[80, 4], Operations: ['12/2=6', '24/6=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 37, 17, 7 ]
88
[ "37*17=629", "629-13=616", "616/7=88" ]
Current State: 88:[13, 37, 17, 7], Operations: [] Exploring Operation: 37*17=629, Resulting Numbers: [13, 7, 629] Generated Node #2: [13, 7, 629] from Operation: 37*17=629 Current State: 88:[13, 7, 629], Operations: ['37*17=629'] Exploring Operation: 629-13=616, Resulting Numbers: [7, 616] Generated Node #3: [7, 616] from Operation: 629-13=616 Current State: 88:[7, 616], Operations: ['37*17=629', '629-13=616'] Exploring Operation: 616/7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 13, 5, 26, 59 ]
27
[ "26/13=2", "59-5=54", "54/2=27" ]
Current State: 27:[13, 5, 26, 59], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [5, 59, 2] Generated Node #2: [5, 59, 2] from Operation: 26/13=2 Current State: 27:[5, 59, 2], Operations: ['26/13=2'] Exploring Operation: 59-5=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 59-5=54 Current State: 27:[2, 54], Operations: ['26/13=2', '59-5=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 29, 7, 4 ]
35
[ "70/7=10", "29-4=25", "10+25=35" ]
Current State: 35:[70, 29, 7, 4], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [29, 4, 10] Generated Node #2: [29, 4, 10] from Operation: 70/7=10 Current State: 35:[29, 4, 10], Operations: ['70/7=10'] Exploring Operation: 29-4=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 29-4=25 Current State: 35:[10, 25], Operations: ['70/7=10', '29-4=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 90, 93, 81, 35 ]
33
[ "90*35=3150", "3150-81=3069", "3069/93=33" ]
Current State: 33:[90, 93, 81, 35], Operations: [] Exploring Operation: 90*35=3150, Resulting Numbers: [93, 81, 3150] Generated Node #2: [93, 81, 3150] from Operation: 90*35=3150 Current State: 33:[93, 81, 3150], Operations: ['90*35=3150'] Exploring Operation: 3150-81=3069, Resulting Numbers: [93, 3069] Generated Node #3: [93, 3069] from Operation: 3150-81=3069 Current State: 33:[93, 3069], Operations: ['90*35=3150', '3150-81=3069'] Exploring Operation: 3069/93=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 41, 36, 46, 30 ]
15
[ "41*30=1230", "36+46=82", "1230/82=15" ]
Current State: 15:[41, 36, 46, 30], Operations: [] Exploring Operation: 41*30=1230, Resulting Numbers: [36, 46, 1230] Generated Node #2: [36, 46, 1230] from Operation: 41*30=1230 Current State: 15:[36, 46, 1230], Operations: ['41*30=1230'] Exploring Operation: 36+46=82, Resulting Numbers: [1230, 82] Generated Node #3: [1230, 82] from Operation: 36+46=82 Current State: 15:[1230, 82], Operations: ['41*30=1230', '36+46=82'] Exploring Operation: 1230/82=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 42, 25, 37 ]
28
[ "58-42=16", "37-25=12", "16+12=28" ]
Current State: 28:[58, 42, 25, 37], Operations: [] Exploring Operation: 58-42=16, Resulting Numbers: [25, 37, 16] Generated Node #2: [25, 37, 16] from Operation: 58-42=16 Current State: 28:[25, 37, 16], Operations: ['58-42=16'] Exploring Operation: 37-25=12, Resulting Numbers: [16, 12] Generated Node #3: [16, 12] from Operation: 37-25=12 Current State: 28:[16, 12], Operations: ['58-42=16', '37-25=12'] Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 42, 40, 65 ]
13
[ "3+42=45", "45-40=5", "65/5=13" ]
Current State: 13:[3, 42, 40, 65], Operations: [] Exploring Operation: 3+42=45, Resulting Numbers: [40, 65, 45] Generated Node #2: [40, 65, 45] from Operation: 3+42=45 Current State: 13:[40, 65, 45], Operations: ['3+42=45'] Exploring Operation: 45-40=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 45-40=5 Current State: 13:[65, 5], Operations: ['3+42=45', '45-40=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 45, 90, 23 ]
62
[ "54-23=31", "90/45=2", "31*2=62" ]
Current State: 62:[54, 45, 90, 23], Operations: [] Exploring Operation: 54-23=31, Resulting Numbers: [45, 90, 31] Generated Node #2: [45, 90, 31] from Operation: 54-23=31 Current State: 62:[45, 90, 31], Operations: ['54-23=31'] Exploring Operation: 90/45=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 90/45=2 Current State: 62:[31, 2], Operations: ['54-23=31', '90/45=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 46, 46, 11, 95 ]
33
[ "46+46=92", "95-92=3", "11*3=33" ]
Current State: 33:[46, 46, 11, 95], Operations: [] Exploring Operation: 46+46=92, Resulting Numbers: [11, 95, 92] Generated Node #2: [11, 95, 92] from Operation: 46+46=92 Current State: 33:[11, 95, 92], Operations: ['46+46=92'] Exploring Operation: 95-92=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 95-92=3 Current State: 33:[11, 3], Operations: ['46+46=92', '95-92=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 29, 65, 3 ]
89
[ "29-2=27", "65-3=62", "27+62=89" ]
Current State: 89:[2, 29, 65, 3], Operations: [] Exploring Operation: 29-2=27, Resulting Numbers: [65, 3, 27] Generated Node #2: [65, 3, 27] from Operation: 29-2=27 Current State: 89:[65, 3, 27], Operations: ['29-2=27'] Exploring Operation: 65-3=62, Resulting Numbers: [27, 62] Generated Node #3: [27, 62] from Operation: 65-3=62 Current State: 89:[27, 62], Operations: ['29-2=27', '65-3=62'] Exploring Operation: 27+62=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 82, 61, 24, 78 ]
89
[ "82+61=143", "78-24=54", "143-54=89" ]
Current State: 89:[82, 61, 24, 78], Operations: [] Exploring Operation: 82+61=143, Resulting Numbers: [24, 78, 143] Generated Node #2: [24, 78, 143] from Operation: 82+61=143 Current State: 89:[24, 78, 143], Operations: ['82+61=143'] Exploring Operation: 78-24=54, Resulting Numbers: [143, 54] Generated Node #3: [143, 54] from Operation: 78-24=54 Current State: 89:[143, 54], Operations: ['82+61=143', '78-24=54'] Exploring Operation: 143-54=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 2, 18, 97 ]
17
[ "22+18=40", "2*40=80", "97-80=17" ]
Current State: 17:[22, 2, 18, 97], Operations: [] Exploring Operation: 22+18=40, Resulting Numbers: [2, 97, 40] Generated Node #2: [2, 97, 40] from Operation: 22+18=40 Current State: 17:[2, 97, 40], Operations: ['22+18=40'] Exploring Operation: 2*40=80, Resulting Numbers: [97, 80] Generated Node #3: [97, 80] from Operation: 2*40=80 Current State: 17:[97, 80], Operations: ['22+18=40', '2*40=80'] Exploring Operation: 97-80=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 97, 3, 1, 54 ]
78
[ "97-1=96", "54/3=18", "96-18=78" ]
Current State: 78:[97, 3, 1, 54], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [3, 54, 96] Generated Node #2: [3, 54, 96] from Operation: 97-1=96 Current State: 78:[3, 54, 96], Operations: ['97-1=96'] Exploring Operation: 54/3=18, Resulting Numbers: [96, 18] Generated Node #3: [96, 18] from Operation: 54/3=18 Current State: 78:[96, 18], Operations: ['97-1=96', '54/3=18'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 38, 8, 73 ]
15
[ "73-38=35", "35/5=7", "8+7=15" ]
Current State: 15:[5, 38, 8, 73], Operations: [] Exploring Operation: 73-38=35, Resulting Numbers: [5, 8, 35] Generated Node #2: [5, 8, 35] from Operation: 73-38=35 Current State: 15:[5, 8, 35], Operations: ['73-38=35'] Exploring Operation: 35/5=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 35/5=7 Current State: 15:[8, 7], Operations: ['73-38=35', '35/5=7'] Exploring Operation: 8+7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 92, 37, 73 ]
27
[ "73-37=36", "69*36=2484", "2484/92=27" ]
Current State: 27:[69, 92, 37, 73], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [69, 92, 36] Generated Node #2: [69, 92, 36] from Operation: 73-37=36 Current State: 27:[69, 92, 36], Operations: ['73-37=36'] Exploring Operation: 69*36=2484, Resulting Numbers: [92, 2484] Generated Node #3: [92, 2484] from Operation: 69*36=2484 Current State: 27:[92, 2484], Operations: ['73-37=36', '69*36=2484'] Exploring Operation: 2484/92=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 19, 22, 81, 23 ]
100
[ "19+81=100", "23-22=1", "100*1=100" ]
Current State: 100:[19, 22, 81, 23], Operations: [] Exploring Operation: 19+81=100, Resulting Numbers: [22, 23, 100] Generated Node #2: [22, 23, 100] from Operation: 19+81=100 Current State: 100:[22, 23, 100], Operations: ['19+81=100'] Exploring Operation: 23-22=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 23-22=1 Current State: 100:[100, 1], Operations: ['19+81=100', '23-22=1'] Exploring Operation: 100*1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 95, 34, 54, 34 ]
81
[ "95-34=61", "54-34=20", "61+20=81" ]
Current State: 81:[95, 34, 54, 34], Operations: [] Exploring Operation: 95-34=61, Resulting Numbers: [54, 61] Generated Node #2: [54, 61] from Operation: 95-34=61 Current State: 81:[54, 61], Operations: ['95-34=61'] Exploring Operation: 54-34=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 54-34=20 Current State: 81:[61, 20], Operations: ['95-34=61', '54-34=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 27, 14, 54, 49 ]
61
[ "54/27=2", "14+49=63", "63-2=61" ]
Current State: 61:[27, 14, 54, 49], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [14, 49, 2] Generated Node #2: [14, 49, 2] from Operation: 54/27=2 Current State: 61:[14, 49, 2], Operations: ['54/27=2'] Exploring Operation: 14+49=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 14+49=63 Current State: 61:[2, 63], Operations: ['54/27=2', '14+49=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 6, 21, 82 ]
58
[ "82-14=68", "6*21=126", "126-68=58" ]
Current State: 58:[14, 6, 21, 82], Operations: [] Exploring Operation: 82-14=68, Resulting Numbers: [6, 21, 68] Generated Node #2: [6, 21, 68] from Operation: 82-14=68 Current State: 58:[6, 21, 68], Operations: ['82-14=68'] Exploring Operation: 6*21=126, Resulting Numbers: [68, 126] Generated Node #3: [68, 126] from Operation: 6*21=126 Current State: 58:[68, 126], Operations: ['82-14=68', '6*21=126'] Exploring Operation: 126-68=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 9, 96, 84 ]
92
[ "3+9=12", "96/12=8", "84+8=92" ]
Current State: 92:[3, 9, 96, 84], Operations: [] Exploring Operation: 3+9=12, Resulting Numbers: [96, 84, 12] Generated Node #2: [96, 84, 12] from Operation: 3+9=12 Current State: 92:[96, 84, 12], Operations: ['3+9=12'] Exploring Operation: 96/12=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 96/12=8 Current State: 92:[84, 8], Operations: ['3+9=12', '96/12=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 87, 32, 8, 49 ]
34
[ "87+49=136", "32/8=4", "136/4=34" ]
Current State: 34:[87, 32, 8, 49], Operations: [] Exploring Operation: 87+49=136, Resulting Numbers: [32, 8, 136] Generated Node #2: [32, 8, 136] from Operation: 87+49=136 Current State: 34:[32, 8, 136], Operations: ['87+49=136'] Exploring Operation: 32/8=4, Resulting Numbers: [136, 4] Generated Node #3: [136, 4] from Operation: 32/8=4 Current State: 34:[136, 4], Operations: ['87+49=136', '32/8=4'] Exploring Operation: 136/4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 91, 57, 69, 5 ]
98
[ "91-57=34", "69-5=64", "34+64=98" ]
Current State: 98:[91, 57, 69, 5], Operations: [] Exploring Operation: 91-57=34, Resulting Numbers: [69, 5, 34] Generated Node #2: [69, 5, 34] from Operation: 91-57=34 Current State: 98:[69, 5, 34], Operations: ['91-57=34'] Exploring Operation: 69-5=64, Resulting Numbers: [34, 64] Generated Node #3: [34, 64] from Operation: 69-5=64 Current State: 98:[34, 64], Operations: ['91-57=34', '69-5=64'] Exploring Operation: 34+64=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 59, 83, 27, 31 ]
82
[ "83-59=24", "27+31=58", "24+58=82" ]
Current State: 82:[59, 83, 27, 31], Operations: [] Exploring Operation: 83-59=24, Resulting Numbers: [27, 31, 24] Generated Node #2: [27, 31, 24] from Operation: 83-59=24 Current State: 82:[27, 31, 24], Operations: ['83-59=24'] Exploring Operation: 27+31=58, Resulting Numbers: [24, 58] Generated Node #3: [24, 58] from Operation: 27+31=58 Current State: 82:[24, 58], Operations: ['83-59=24', '27+31=58'] Exploring Operation: 24+58=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 83, 74, 36 ]
23
[ "50+83=133", "74+36=110", "133-110=23" ]
Current State: 23:[50, 83, 74, 36], Operations: [] Exploring Operation: 50+83=133, Resulting Numbers: [74, 36, 133] Generated Node #2: [74, 36, 133] from Operation: 50+83=133 Current State: 23:[74, 36, 133], Operations: ['50+83=133'] Exploring Operation: 74+36=110, Resulting Numbers: [133, 110] Generated Node #3: [133, 110] from Operation: 74+36=110 Current State: 23:[133, 110], Operations: ['50+83=133', '74+36=110'] Exploring Operation: 133-110=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 54, 46, 42, 57 ]
91
[ "54-46=8", "42+57=99", "99-8=91" ]
Current State: 91:[54, 46, 42, 57], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [42, 57, 8] Generated Node #2: [42, 57, 8] from Operation: 54-46=8 Current State: 91:[42, 57, 8], Operations: ['54-46=8'] Exploring Operation: 42+57=99, Resulting Numbers: [8, 99] Generated Node #3: [8, 99] from Operation: 42+57=99 Current State: 91:[8, 99], Operations: ['54-46=8', '42+57=99'] Exploring Operation: 99-8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 27, 97, 58 ]
93
[ "2*27=54", "97-58=39", "54+39=93" ]
Current State: 93:[2, 27, 97, 58], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [97, 58, 54] Generated Node #2: [97, 58, 54] from Operation: 2*27=54 Current State: 93:[97, 58, 54], Operations: ['2*27=54'] Exploring Operation: 97-58=39, Resulting Numbers: [54, 39] Generated Node #3: [54, 39] from Operation: 97-58=39 Current State: 93:[54, 39], Operations: ['2*27=54', '97-58=39'] Exploring Operation: 54+39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 47, 8, 42 ]
80
[ "8+8=16", "47-42=5", "16*5=80" ]
Current State: 80:[8, 47, 8, 42], Operations: [] Exploring Operation: 8+8=16, Resulting Numbers: [47, 42, 16] Generated Node #2: [47, 42, 16] from Operation: 8+8=16 Current State: 80:[47, 42, 16], Operations: ['8+8=16'] Exploring Operation: 47-42=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 47-42=5 Current State: 80:[16, 5], Operations: ['8+8=16', '47-42=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 49, 47, 13 ]
65
[ "50+49=99", "47-13=34", "99-34=65" ]
Current State: 65:[50, 49, 47, 13], Operations: [] Exploring Operation: 50+49=99, Resulting Numbers: [47, 13, 99] Generated Node #2: [47, 13, 99] from Operation: 50+49=99 Current State: 65:[47, 13, 99], Operations: ['50+49=99'] Exploring Operation: 47-13=34, Resulting Numbers: [99, 34] Generated Node #3: [99, 34] from Operation: 47-13=34 Current State: 65:[99, 34], Operations: ['50+49=99', '47-13=34'] Exploring Operation: 99-34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 32, 62, 80 ]
34
[ "80-62=18", "18/9=2", "32+2=34" ]
Current State: 34:[9, 32, 62, 80], Operations: [] Exploring Operation: 80-62=18, Resulting Numbers: [9, 32, 18] Generated Node #2: [9, 32, 18] from Operation: 80-62=18 Current State: 34:[9, 32, 18], Operations: ['80-62=18'] Exploring Operation: 18/9=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 18/9=2 Current State: 34:[32, 2], Operations: ['80-62=18', '18/9=2'] Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 54, 57, 78, 11 ]
15
[ "57-54=3", "78/3=26", "26-11=15" ]
Current State: 15:[54, 57, 78, 11], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [78, 11, 3] Generated Node #2: [78, 11, 3] from Operation: 57-54=3 Current State: 15:[78, 11, 3], Operations: ['57-54=3'] Exploring Operation: 78/3=26, Resulting Numbers: [11, 26] Generated Node #3: [11, 26] from Operation: 78/3=26 Current State: 15:[11, 26], Operations: ['57-54=3', '78/3=26'] Exploring Operation: 26-11=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 91, 5, 21, 2 ]
63
[ "91-5=86", "21+2=23", "86-23=63" ]
Current State: 63:[91, 5, 21, 2], Operations: [] Exploring Operation: 91-5=86, Resulting Numbers: [21, 2, 86] Generated Node #2: [21, 2, 86] from Operation: 91-5=86 Current State: 63:[21, 2, 86], Operations: ['91-5=86'] Exploring Operation: 21+2=23, Resulting Numbers: [86, 23] Generated Node #3: [86, 23] from Operation: 21+2=23 Current State: 63:[86, 23], Operations: ['91-5=86', '21+2=23'] Exploring Operation: 86-23=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 69, 92, 46 ]
23
[ "69/3=23", "92-46=46", "46-23=23" ]
Current State: 23:[3, 69, 92, 46], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [92, 46, 23] Generated Node #2: [92, 46, 23] from Operation: 69/3=23 Current State: 23:[92, 46, 23], Operations: ['69/3=23'] Exploring Operation: 92-46=46, Resulting Numbers: [23, 46] Generated Node #3: [23, 46] from Operation: 92-46=46 Current State: 23:[23, 46], Operations: ['69/3=23', '92-46=46'] Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 85, 13, 39, 39 ]
91
[ "85-39=46", "46-39=7", "13*7=91" ]
Current State: 91:[85, 13, 39, 39], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [13, 46] Generated Node #2: [13, 46] from Operation: 85-39=46 Current State: 91:[13, 46], Operations: ['85-39=46'] Exploring Operation: 46-39=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 46-39=7 Current State: 91:[13, 7], Operations: ['85-39=46', '46-39=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 24, 64, 46 ]
75
[ "69+24=93", "64-46=18", "93-18=75" ]
Current State: 75:[69, 24, 64, 46], Operations: [] Exploring Operation: 69+24=93, Resulting Numbers: [64, 46, 93] Generated Node #2: [64, 46, 93] from Operation: 69+24=93 Current State: 75:[64, 46, 93], Operations: ['69+24=93'] Exploring Operation: 64-46=18, Resulting Numbers: [93, 18] Generated Node #3: [93, 18] from Operation: 64-46=18 Current State: 75:[93, 18], Operations: ['69+24=93', '64-46=18'] Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 2, 60, 57 ]
56
[ "25+60=85", "85-57=28", "2*28=56" ]
Current State: 56:[25, 2, 60, 57], Operations: [] Exploring Operation: 25+60=85, Resulting Numbers: [2, 57, 85] Generated Node #2: [2, 57, 85] from Operation: 25+60=85 Current State: 56:[2, 57, 85], Operations: ['25+60=85'] Exploring Operation: 85-57=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 85-57=28 Current State: 56:[2, 28], Operations: ['25+60=85', '85-57=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 92, 99, 2, 94 ]
54
[ "99-92=7", "94/2=47", "7+47=54" ]
Current State: 54:[92, 99, 2, 94], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [2, 94, 7] Generated Node #2: [2, 94, 7] from Operation: 99-92=7 Current State: 54:[2, 94, 7], Operations: ['99-92=7'] Exploring Operation: 94/2=47, Resulting Numbers: [7, 47] Generated Node #3: [7, 47] from Operation: 94/2=47 Current State: 54:[7, 47], Operations: ['99-92=7', '94/2=47'] Exploring Operation: 7+47=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 2, 6, 85 ]
58
[ "9*6=54", "54/2=27", "85-27=58" ]
Current State: 58:[9, 2, 6, 85], Operations: [] Exploring Operation: 9*6=54, Resulting Numbers: [2, 85, 54] Generated Node #2: [2, 85, 54] from Operation: 9*6=54 Current State: 58:[2, 85, 54], Operations: ['9*6=54'] Exploring Operation: 54/2=27, Resulting Numbers: [85, 27] Generated Node #3: [85, 27] from Operation: 54/2=27 Current State: 58:[85, 27], Operations: ['9*6=54', '54/2=27'] Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 11, 2, 27 ]
79
[ "11+2=13", "4*13=52", "27+52=79" ]
Current State: 79:[4, 11, 2, 27], Operations: [] Exploring Operation: 11+2=13, Resulting Numbers: [4, 27, 13] Generated Node #2: [4, 27, 13] from Operation: 11+2=13 Current State: 79:[4, 27, 13], Operations: ['11+2=13'] Exploring Operation: 4*13=52, Resulting Numbers: [27, 52] Generated Node #3: [27, 52] from Operation: 4*13=52 Current State: 79:[27, 52], Operations: ['11+2=13', '4*13=52'] Exploring Operation: 27+52=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 73, 97, 13 ]
13
[ "50+73=123", "97+13=110", "123-110=13" ]
Current State: 13:[50, 73, 97, 13], Operations: [] Exploring Operation: 50+73=123, Resulting Numbers: [97, 13, 123] Generated Node #2: [97, 13, 123] from Operation: 50+73=123 Current State: 13:[97, 13, 123], Operations: ['50+73=123'] Exploring Operation: 97+13=110, Resulting Numbers: [123, 110] Generated Node #3: [123, 110] from Operation: 97+13=110 Current State: 13:[123, 110], Operations: ['50+73=123', '97+13=110'] Exploring Operation: 123-110=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 88, 1, 43, 43 ]
90
[ "88+1=89", "43/43=1", "89+1=90" ]
Current State: 90:[88, 1, 43, 43], Operations: [] Exploring Operation: 88+1=89, Resulting Numbers: [43, 43, 89] Generated Node #2: [43, 43, 89] from Operation: 88+1=89 Current State: 90:[43, 43, 89], Operations: ['88+1=89'] Exploring Operation: 43/43=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 43/43=1 Current State: 90:[89, 1], Operations: ['88+1=89', '43/43=1'] Exploring Operation: 89+1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 88, 12, 96, 72 ]
78
[ "88*72=6336", "6336/96=66", "12+66=78" ]
Current State: 78:[88, 12, 96, 72], Operations: [] Exploring Operation: 88*72=6336, Resulting Numbers: [12, 96, 6336] Generated Node #2: [12, 96, 6336] from Operation: 88*72=6336 Current State: 78:[12, 96, 6336], Operations: ['88*72=6336'] Exploring Operation: 6336/96=66, Resulting Numbers: [12, 66] Generated Node #3: [12, 66] from Operation: 6336/96=66 Current State: 78:[12, 66], Operations: ['88*72=6336', '6336/96=66'] Exploring Operation: 12+66=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 83, 42, 78, 69 ]
98
[ "83+78=161", "42*161=6762", "6762/69=98" ]
Current State: 98:[83, 42, 78, 69], Operations: [] Exploring Operation: 83+78=161, Resulting Numbers: [42, 69, 161] Generated Node #2: [42, 69, 161] from Operation: 83+78=161 Current State: 98:[42, 69, 161], Operations: ['83+78=161'] Exploring Operation: 42*161=6762, Resulting Numbers: [69, 6762] Generated Node #3: [69, 6762] from Operation: 42*161=6762 Current State: 98:[69, 6762], Operations: ['83+78=161', '42*161=6762'] Exploring Operation: 6762/69=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 84, 78, 51 ]
73
[ "84-38=46", "78-51=27", "46+27=73" ]
Current State: 73:[38, 84, 78, 51], Operations: [] Exploring Operation: 84-38=46, Resulting Numbers: [78, 51, 46] Generated Node #2: [78, 51, 46] from Operation: 84-38=46 Current State: 73:[78, 51, 46], Operations: ['84-38=46'] Exploring Operation: 78-51=27, Resulting Numbers: [46, 27] Generated Node #3: [46, 27] from Operation: 78-51=27 Current State: 73:[46, 27], Operations: ['84-38=46', '78-51=27'] Exploring Operation: 46+27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 24, 9, 31 ]
22
[ "20+24=44", "31-9=22", "44-22=22" ]
Current State: 22:[20, 24, 9, 31], Operations: [] Exploring Operation: 20+24=44, Resulting Numbers: [9, 31, 44] Generated Node #2: [9, 31, 44] from Operation: 20+24=44 Current State: 22:[9, 31, 44], Operations: ['20+24=44'] Exploring Operation: 31-9=22, Resulting Numbers: [44, 22] Generated Node #3: [44, 22] from Operation: 31-9=22 Current State: 22:[44, 22], Operations: ['20+24=44', '31-9=22'] Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 47, 94, 97, 64 ]
37
[ "47+64=111", "97-94=3", "111/3=37" ]
Current State: 37:[47, 94, 97, 64], Operations: [] Exploring Operation: 47+64=111, Resulting Numbers: [94, 97, 111] Generated Node #2: [94, 97, 111] from Operation: 47+64=111 Current State: 37:[94, 97, 111], Operations: ['47+64=111'] Exploring Operation: 97-94=3, Resulting Numbers: [111, 3] Generated Node #3: [111, 3] from Operation: 97-94=3 Current State: 37:[111, 3], Operations: ['47+64=111', '97-94=3'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 54, 73, 96 ]
77
[ "54-30=24", "96/24=4", "73+4=77" ]
Current State: 77:[30, 54, 73, 96], Operations: [] Exploring Operation: 54-30=24, Resulting Numbers: [73, 96, 24] Generated Node #2: [73, 96, 24] from Operation: 54-30=24 Current State: 77:[73, 96, 24], Operations: ['54-30=24'] Exploring Operation: 96/24=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 96/24=4 Current State: 77:[73, 4], Operations: ['54-30=24', '96/24=4'] Exploring Operation: 73+4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 32, 7, 76 ]
100
[ "76/19=4", "32-7=25", "4*25=100" ]
Current State: 100:[19, 32, 7, 76], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [32, 7, 4] Generated Node #2: [32, 7, 4] from Operation: 76/19=4 Current State: 100:[32, 7, 4], Operations: ['76/19=4'] Exploring Operation: 32-7=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 32-7=25 Current State: 100:[4, 25], Operations: ['76/19=4', '32-7=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 99, 47, 25, 94 ]
76
[ "99-25=74", "94/47=2", "74+2=76" ]
Current State: 76:[99, 47, 25, 94], Operations: [] Exploring Operation: 99-25=74, Resulting Numbers: [47, 94, 74] Generated Node #2: [47, 94, 74] from Operation: 99-25=74 Current State: 76:[47, 94, 74], Operations: ['99-25=74'] Exploring Operation: 94/47=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 94/47=2 Current State: 76:[74, 2], Operations: ['99-25=74', '94/47=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 61, 26, 93, 77 ]
83
[ "61+26=87", "93+77=170", "170-87=83" ]
Current State: 83:[61, 26, 93, 77], Operations: [] Exploring Operation: 61+26=87, Resulting Numbers: [93, 77, 87] Generated Node #2: [93, 77, 87] from Operation: 61+26=87 Current State: 83:[93, 77, 87], Operations: ['61+26=87'] Exploring Operation: 93+77=170, Resulting Numbers: [87, 170] Generated Node #3: [87, 170] from Operation: 93+77=170 Current State: 83:[87, 170], Operations: ['61+26=87', '93+77=170'] Exploring Operation: 170-87=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 26, 65, 94, 40 ]
62
[ "26+94=120", "120/40=3", "65-3=62" ]
Current State: 62:[26, 65, 94, 40], Operations: [] Exploring Operation: 26+94=120, Resulting Numbers: [65, 40, 120] Generated Node #2: [65, 40, 120] from Operation: 26+94=120 Current State: 62:[65, 40, 120], Operations: ['26+94=120'] Exploring Operation: 120/40=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 120/40=3 Current State: 62:[65, 3], Operations: ['26+94=120', '120/40=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 11, 69, 29 ]
88
[ "59-11=48", "69-29=40", "48+40=88" ]
Current State: 88:[59, 11, 69, 29], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [69, 29, 48] Generated Node #2: [69, 29, 48] from Operation: 59-11=48 Current State: 88:[69, 29, 48], Operations: ['59-11=48'] Exploring Operation: 69-29=40, Resulting Numbers: [48, 40] Generated Node #3: [48, 40] from Operation: 69-29=40 Current State: 88:[48, 40], Operations: ['59-11=48', '69-29=40'] Exploring Operation: 48+40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 62, 66, 43 ]
52
[ "56-43=13", "66-62=4", "13*4=52" ]
Current State: 52:[56, 62, 66, 43], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [62, 66, 13] Generated Node #2: [62, 66, 13] from Operation: 56-43=13 Current State: 52:[62, 66, 13], Operations: ['56-43=13'] Exploring Operation: 66-62=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 66-62=4 Current State: 52:[13, 4], Operations: ['56-43=13', '66-62=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 65, 3, 99, 3 ]
93
[ "65+3=68", "99-68=31", "3*31=93" ]
Current State: 93:[65, 3, 99, 3], Operations: [] Exploring Operation: 65+3=68, Resulting Numbers: [99, 68] Generated Node #2: [99, 68] from Operation: 65+3=68 Current State: 93:[99, 68], Operations: ['65+3=68'] Exploring Operation: 99-68=31, Resulting Numbers: [31] 31,93 equal: Goal Reached Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 32, 23, 28 ]
11
[ "32+28=60", "60/5=12", "23-12=11" ]
Current State: 11:[5, 32, 23, 28], Operations: [] Exploring Operation: 32+28=60, Resulting Numbers: [5, 23, 60] Generated Node #2: [5, 23, 60] from Operation: 32+28=60 Current State: 11:[5, 23, 60], Operations: ['32+28=60'] Exploring Operation: 60/5=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 60/5=12 Current State: 11:[23, 12], Operations: ['32+28=60', '60/5=12'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 30, 46, 5, 41 ]
39
[ "46-30=16", "5*16=80", "80-41=39" ]
Current State: 39:[30, 46, 5, 41], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [5, 41, 16] Generated Node #2: [5, 41, 16] from Operation: 46-30=16 Current State: 39:[5, 41, 16], Operations: ['46-30=16'] Exploring Operation: 5*16=80, Resulting Numbers: [41, 80] Generated Node #3: [41, 80] from Operation: 5*16=80 Current State: 39:[41, 80], Operations: ['46-30=16', '5*16=80'] Exploring Operation: 80-41=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 3, 2, 8 ]
94
[ "68*3=204", "204/2=102", "102-8=94" ]
Current State: 94:[68, 3, 2, 8], Operations: [] Exploring Operation: 68*3=204, Resulting Numbers: [2, 8, 204] Generated Node #2: [2, 8, 204] from Operation: 68*3=204 Current State: 94:[2, 8, 204], Operations: ['68*3=204'] Exploring Operation: 204/2=102, Resulting Numbers: [8, 102] Generated Node #3: [8, 102] from Operation: 204/2=102 Current State: 94:[8, 102], Operations: ['68*3=204', '204/2=102'] Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 63, 17, 11, 87 ]
37
[ "63+87=150", "17*11=187", "187-150=37" ]
Current State: 37:[63, 17, 11, 87], Operations: [] Exploring Operation: 63+87=150, Resulting Numbers: [17, 11, 150] Generated Node #2: [17, 11, 150] from Operation: 63+87=150 Current State: 37:[17, 11, 150], Operations: ['63+87=150'] Exploring Operation: 17*11=187, Resulting Numbers: [150, 187] Generated Node #3: [150, 187] from Operation: 17*11=187 Current State: 37:[150, 187], Operations: ['63+87=150', '17*11=187'] Exploring Operation: 187-150=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 30, 87, 8 ]
58
[ "8/8=1", "87-30=57", "1+57=58" ]
Current State: 58:[8, 30, 87, 8], Operations: [] Exploring Operation: 8/8=1, Resulting Numbers: [30, 87, 1] Generated Node #2: [30, 87, 1] from Operation: 8/8=1 Current State: 58:[30, 87, 1], Operations: ['8/8=1'] Exploring Operation: 87-30=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 87-30=57 Current State: 58:[1, 57], Operations: ['8/8=1', '87-30=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 81, 42, 3, 51 ]
86
[ "81+51=132", "132/3=44", "42+44=86" ]
Current State: 86:[81, 42, 3, 51], Operations: [] Exploring Operation: 81+51=132, Resulting Numbers: [42, 3, 132] Generated Node #2: [42, 3, 132] from Operation: 81+51=132 Current State: 86:[42, 3, 132], Operations: ['81+51=132'] Exploring Operation: 132/3=44, Resulting Numbers: [42, 44] Generated Node #3: [42, 44] from Operation: 132/3=44 Current State: 86:[42, 44], Operations: ['81+51=132', '132/3=44'] Exploring Operation: 42+44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 31, 56, 90, 84 ]
87
[ "31+56=87", "90+84=174", "174-87=87" ]
Current State: 87:[31, 56, 90, 84], Operations: [] Exploring Operation: 31+56=87, Resulting Numbers: [90, 84, 87] Generated Node #2: [90, 84, 87] from Operation: 31+56=87 Current State: 87:[90, 84, 87], Operations: ['31+56=87'] Exploring Operation: 90+84=174, Resulting Numbers: [87, 174] Generated Node #3: [87, 174] from Operation: 90+84=174 Current State: 87:[87, 174], Operations: ['31+56=87', '90+84=174'] Exploring Operation: 174-87=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 66, 57, 88, 55 ]
24
[ "66-57=9", "88-55=33", "33-9=24" ]
Current State: 24:[66, 57, 88, 55], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [88, 55, 9] Generated Node #2: [88, 55, 9] from Operation: 66-57=9 Current State: 24:[88, 55, 9], Operations: ['66-57=9'] Exploring Operation: 88-55=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 88-55=33 Current State: 24:[9, 33], Operations: ['66-57=9', '88-55=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 69, 6, 64, 48 ]
100
[ "69+6=75", "64*75=4800", "4800/48=100" ]
Current State: 100:[69, 6, 64, 48], Operations: [] Exploring Operation: 69+6=75, Resulting Numbers: [64, 48, 75] Generated Node #2: [64, 48, 75] from Operation: 69+6=75 Current State: 100:[64, 48, 75], Operations: ['69+6=75'] Exploring Operation: 64*75=4800, Resulting Numbers: [48, 4800] Generated Node #3: [48, 4800] from Operation: 64*75=4800 Current State: 100:[48, 4800], Operations: ['69+6=75', '64*75=4800'] Exploring Operation: 4800/48=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 88, 99, 9 ]
81
[ "88*9=792", "99+792=891", "891/11=81" ]
Current State: 81:[11, 88, 99, 9], Operations: [] Exploring Operation: 88*9=792, Resulting Numbers: [11, 99, 792] Generated Node #2: [11, 99, 792] from Operation: 88*9=792 Current State: 81:[11, 99, 792], Operations: ['88*9=792'] Exploring Operation: 99+792=891, Resulting Numbers: [11, 891] Generated Node #3: [11, 891] from Operation: 99+792=891 Current State: 81:[11, 891], Operations: ['88*9=792', '99+792=891'] Exploring Operation: 891/11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 18, 48, 52, 4 ]
46
[ "52-18=34", "48/4=12", "34+12=46" ]
Current State: 46:[18, 48, 52, 4], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [48, 4, 34] Generated Node #2: [48, 4, 34] from Operation: 52-18=34 Current State: 46:[48, 4, 34], Operations: ['52-18=34'] Exploring Operation: 48/4=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 48/4=12 Current State: 46:[34, 12], Operations: ['52-18=34', '48/4=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 8, 15, 78 ]
75
[ "78/6=13", "13-8=5", "15*5=75" ]
Current State: 75:[6, 8, 15, 78], Operations: [] Exploring Operation: 78/6=13, Resulting Numbers: [8, 15, 13] Generated Node #2: [8, 15, 13] from Operation: 78/6=13 Current State: 75:[8, 15, 13], Operations: ['78/6=13'] Exploring Operation: 13-8=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 13-8=5 Current State: 75:[15, 5], Operations: ['78/6=13', '13-8=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 99, 11, 2 ]
33
[ "35-2=33", "99*11=1089", "1089/33=33" ]
Current State: 33:[35, 99, 11, 2], Operations: [] Exploring Operation: 35-2=33, Resulting Numbers: [99, 11, 33] Generated Node #2: [99, 11, 33] from Operation: 35-2=33 Current State: 33:[99, 11, 33], Operations: ['35-2=33'] Exploring Operation: 99*11=1089, Resulting Numbers: [33, 1089] Generated Node #3: [33, 1089] from Operation: 99*11=1089 Current State: 33:[33, 1089], Operations: ['35-2=33', '99*11=1089'] Exploring Operation: 1089/33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 58, 9, 11 ]
66
[ "11-9=2", "58*2=116", "116-50=66" ]
Current State: 66:[50, 58, 9, 11], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [50, 58, 2] Generated Node #2: [50, 58, 2] from Operation: 11-9=2 Current State: 66:[50, 58, 2], Operations: ['11-9=2'] Exploring Operation: 58*2=116, Resulting Numbers: [50, 116] Generated Node #3: [50, 116] from Operation: 58*2=116 Current State: 66:[50, 116], Operations: ['11-9=2', '58*2=116'] Exploring Operation: 116-50=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 83, 42, 88 ]
53
[ "16+83=99", "88-42=46", "99-46=53" ]
Current State: 53:[16, 83, 42, 88], Operations: [] Exploring Operation: 16+83=99, Resulting Numbers: [42, 88, 99] Generated Node #2: [42, 88, 99] from Operation: 16+83=99 Current State: 53:[42, 88, 99], Operations: ['16+83=99'] Exploring Operation: 88-42=46, Resulting Numbers: [99, 46] Generated Node #3: [99, 46] from Operation: 88-42=46 Current State: 53:[99, 46], Operations: ['16+83=99', '88-42=46'] Exploring Operation: 99-46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 78, 49, 25 ]
74
[ "70+78=148", "49+25=74", "148-74=74" ]
Current State: 74:[70, 78, 49, 25], Operations: [] Exploring Operation: 70+78=148, Resulting Numbers: [49, 25, 148] Generated Node #2: [49, 25, 148] from Operation: 70+78=148 Current State: 74:[49, 25, 148], Operations: ['70+78=148'] Exploring Operation: 49+25=74, Resulting Numbers: [148, 74] Generated Node #3: [148, 74] from Operation: 49+25=74 Current State: 74:[148, 74], Operations: ['70+78=148', '49+25=74'] Exploring Operation: 148-74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 39, 21, 39, 59 ]
38
[ "39+21=60", "39+59=98", "98-60=38" ]
Current State: 38:[39, 21, 39, 59], Operations: [] Exploring Operation: 39+21=60, Resulting Numbers: [59, 60] Generated Node #2: [59, 60] from Operation: 39+21=60 Current State: 38:[59, 60], Operations: ['39+21=60'] Exploring Operation: 39+59=98, Resulting Numbers: [60, 98] Generated Node #3: [60, 98] from Operation: 39+59=98 Current State: 38:[60, 98], Operations: ['39+21=60', '39+59=98'] Exploring Operation: 98-60=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 36, 14, 8 ]
79
[ "36-3=33", "14*8=112", "112-33=79" ]
Current State: 79:[3, 36, 14, 8], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [14, 8, 33] Generated Node #2: [14, 8, 33] from Operation: 36-3=33 Current State: 79:[14, 8, 33], Operations: ['36-3=33'] Exploring Operation: 14*8=112, Resulting Numbers: [33, 112] Generated Node #3: [33, 112] from Operation: 14*8=112 Current State: 79:[33, 112], Operations: ['36-3=33', '14*8=112'] Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 54, 91, 85, 35 ]
95
[ "54+91=145", "85-35=50", "145-50=95" ]
Current State: 95:[54, 91, 85, 35], Operations: [] Exploring Operation: 54+91=145, Resulting Numbers: [85, 35, 145] Generated Node #2: [85, 35, 145] from Operation: 54+91=145 Current State: 95:[85, 35, 145], Operations: ['54+91=145'] Exploring Operation: 85-35=50, Resulting Numbers: [145, 50] Generated Node #3: [145, 50] from Operation: 85-35=50 Current State: 95:[145, 50], Operations: ['54+91=145', '85-35=50'] Exploring Operation: 145-50=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 63, 29, 50, 19 ]
61
[ "63+29=92", "50-19=31", "92-31=61" ]
Current State: 61:[63, 29, 50, 19], Operations: [] Exploring Operation: 63+29=92, Resulting Numbers: [50, 19, 92] Generated Node #2: [50, 19, 92] from Operation: 63+29=92 Current State: 61:[50, 19, 92], Operations: ['63+29=92'] Exploring Operation: 50-19=31, Resulting Numbers: [92, 31] Generated Node #3: [92, 31] from Operation: 50-19=31 Current State: 61:[92, 31], Operations: ['63+29=92', '50-19=31'] Exploring Operation: 92-31=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 86, 98, 30 ]
28
[ "19+86=105", "98*30=2940", "2940/105=28" ]
Current State: 28:[19, 86, 98, 30], Operations: [] Exploring Operation: 19+86=105, Resulting Numbers: [98, 30, 105] Generated Node #2: [98, 30, 105] from Operation: 19+86=105 Current State: 28:[98, 30, 105], Operations: ['19+86=105'] Exploring Operation: 98*30=2940, Resulting Numbers: [105, 2940] Generated Node #3: [105, 2940] from Operation: 98*30=2940 Current State: 28:[105, 2940], Operations: ['19+86=105', '98*30=2940'] Exploring Operation: 2940/105=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 98, 45, 70, 87 ]
70
[ "98-45=53", "87-70=17", "53+17=70" ]
Current State: 70:[98, 45, 70, 87], Operations: [] Exploring Operation: 98-45=53, Resulting Numbers: [70, 87, 53] Generated Node #2: [70, 87, 53] from Operation: 98-45=53 Current State: 70:[70, 87, 53], Operations: ['98-45=53'] Exploring Operation: 87-70=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 87-70=17 Current State: 70:[53, 17], Operations: ['98-45=53', '87-70=17'] Exploring Operation: 53+17=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 70, 62, 50, 82 ]
100
[ "70+62=132", "82-50=32", "132-32=100" ]
Current State: 100:[70, 62, 50, 82], Operations: [] Exploring Operation: 70+62=132, Resulting Numbers: [50, 82, 132] Generated Node #2: [50, 82, 132] from Operation: 70+62=132 Current State: 100:[50, 82, 132], Operations: ['70+62=132'] Exploring Operation: 82-50=32, Resulting Numbers: [132, 32] Generated Node #3: [132, 32] from Operation: 82-50=32 Current State: 100:[132, 32], Operations: ['70+62=132', '82-50=32'] Exploring Operation: 132-32=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 91, 95, 48, 19 ]
28
[ "95-91=4", "19*4=76", "76-48=28" ]
Current State: 28:[91, 95, 48, 19], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [48, 19, 4] Generated Node #2: [48, 19, 4] from Operation: 95-91=4 Current State: 28:[48, 19, 4], Operations: ['95-91=4'] Exploring Operation: 19*4=76, Resulting Numbers: [48, 76] Generated Node #3: [48, 76] from Operation: 19*4=76 Current State: 28:[48, 76], Operations: ['95-91=4', '19*4=76'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 66, 34, 19 ]
26
[ "50*19=950", "950-66=884", "884/34=26" ]
Current State: 26:[50, 66, 34, 19], Operations: [] Exploring Operation: 50*19=950, Resulting Numbers: [66, 34, 950] Generated Node #2: [66, 34, 950] from Operation: 50*19=950 Current State: 26:[66, 34, 950], Operations: ['50*19=950'] Exploring Operation: 950-66=884, Resulting Numbers: [34, 884] Generated Node #3: [34, 884] from Operation: 950-66=884 Current State: 26:[34, 884], Operations: ['50*19=950', '950-66=884'] Exploring Operation: 884/34=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 47, 42, 35 ]
96
[ "35/5=7", "47+42=89", "7+89=96" ]
Current State: 96:[5, 47, 42, 35], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [47, 42, 7] Generated Node #2: [47, 42, 7] from Operation: 35/5=7 Current State: 96:[47, 42, 7], Operations: ['35/5=7'] Exploring Operation: 47+42=89, Resulting Numbers: [7, 89] Generated Node #3: [7, 89] from Operation: 47+42=89 Current State: 96:[7, 89], Operations: ['35/5=7', '47+42=89'] Exploring Operation: 7+89=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 31, 39, 38 ]
24
[ "31-6=25", "39-38=1", "25-1=24" ]
Current State: 24:[6, 31, 39, 38], Operations: [] Exploring Operation: 31-6=25, Resulting Numbers: [39, 38, 25] Generated Node #2: [39, 38, 25] from Operation: 31-6=25 Current State: 24:[39, 38, 25], Operations: ['31-6=25'] Exploring Operation: 39-38=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 39-38=1 Current State: 24:[25, 1], Operations: ['31-6=25', '39-38=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 37, 35, 81, 32 ]
47
[ "37-35=2", "81-32=49", "49-2=47" ]
Current State: 47:[37, 35, 81, 32], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [81, 32, 2] Generated Node #2: [81, 32, 2] from Operation: 37-35=2 Current State: 47:[81, 32, 2], Operations: ['37-35=2'] Exploring Operation: 81-32=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 81-32=49 Current State: 47:[2, 49], Operations: ['37-35=2', '81-32=49'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 25, 80, 42 ]
24
[ "25-11=14", "80-42=38", "38-14=24" ]
Current State: 24:[11, 25, 80, 42], Operations: [] Exploring Operation: 25-11=14, Resulting Numbers: [80, 42, 14] Generated Node #2: [80, 42, 14] from Operation: 25-11=14 Current State: 24:[80, 42, 14], Operations: ['25-11=14'] Exploring Operation: 80-42=38, Resulting Numbers: [14, 38] Generated Node #3: [14, 38] from Operation: 80-42=38 Current State: 24:[14, 38], Operations: ['25-11=14', '80-42=38'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 94, 99, 3 ]
13
[ "24/3=8", "99-94=5", "8+5=13" ]
Current State: 13:[24, 94, 99, 3], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [94, 99, 8] Generated Node #2: [94, 99, 8] from Operation: 24/3=8 Current State: 13:[94, 99, 8], Operations: ['24/3=8'] Exploring Operation: 99-94=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 99-94=5 Current State: 13:[8, 5], Operations: ['24/3=8', '99-94=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 88, 43, 15, 52 ]
94
[ "88+43=131", "52-15=37", "131-37=94" ]
Current State: 94:[88, 43, 15, 52], Operations: [] Exploring Operation: 88+43=131, Resulting Numbers: [15, 52, 131] Generated Node #2: [15, 52, 131] from Operation: 88+43=131 Current State: 94:[15, 52, 131], Operations: ['88+43=131'] Exploring Operation: 52-15=37, Resulting Numbers: [131, 37] Generated Node #3: [131, 37] from Operation: 52-15=37 Current State: 94:[131, 37], Operations: ['88+43=131', '52-15=37'] Exploring Operation: 131-37=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 17, 49, 15 ]
90
[ "43-17=26", "49+15=64", "26+64=90" ]
Current State: 90:[43, 17, 49, 15], Operations: [] Exploring Operation: 43-17=26, Resulting Numbers: [49, 15, 26] Generated Node #2: [49, 15, 26] from Operation: 43-17=26 Current State: 90:[49, 15, 26], Operations: ['43-17=26'] Exploring Operation: 49+15=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 49+15=64 Current State: 90:[26, 64], Operations: ['43-17=26', '49+15=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 57, 46, 2, 8 ]
90
[ "57-46=11", "8*11=88", "2+88=90" ]
Current State: 90:[57, 46, 2, 8], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [2, 8, 11] Generated Node #2: [2, 8, 11] from Operation: 57-46=11 Current State: 90:[2, 8, 11], Operations: ['57-46=11'] Exploring Operation: 8*11=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 8*11=88 Current State: 90:[2, 88], Operations: ['57-46=11', '8*11=88'] Exploring Operation: 2+88=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 69, 52, 65 ]
99
[ "69-52=17", "2*17=34", "65+34=99" ]
Current State: 99:[2, 69, 52, 65], Operations: [] Exploring Operation: 69-52=17, Resulting Numbers: [2, 65, 17] Generated Node #2: [2, 65, 17] from Operation: 69-52=17 Current State: 99:[2, 65, 17], Operations: ['69-52=17'] Exploring Operation: 2*17=34, Resulting Numbers: [65, 34] Generated Node #3: [65, 34] from Operation: 2*17=34 Current State: 99:[65, 34], Operations: ['69-52=17', '2*17=34'] Exploring Operation: 65+34=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 93, 5, 6, 73 ]
94
[ "93-73=20", "5*20=100", "100-6=94" ]
Current State: 94:[93, 5, 6, 73], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [5, 6, 20] Generated Node #2: [5, 6, 20] from Operation: 93-73=20 Current State: 94:[5, 6, 20], Operations: ['93-73=20'] Exploring Operation: 5*20=100, Resulting Numbers: [6, 100] Generated Node #3: [6, 100] from Operation: 5*20=100 Current State: 94:[6, 100], Operations: ['93-73=20', '5*20=100'] Exploring Operation: 100-6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4