nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 99, 31, 46, 56 ]
18
[ "31*56=1736", "46+1736=1782", "1782/99=18" ]
Current State: 18:[99, 31, 46, 56], Operations: [] Exploring Operation: 31*56=1736, Resulting Numbers: [99, 46, 1736] Generated Node #2: [99, 46, 1736] from Operation: 31*56=1736 Current State: 18:[99, 46, 1736], Operations: ['31*56=1736'] Exploring Operation: 46+1736=1782, Resulting Numbers: [99, 1782] Generated Node #3: [99, 1782] from Operation: 46+1736=1782 Current State: 18:[99, 1782], Operations: ['31*56=1736', '46+1736=1782'] Exploring Operation: 1782/99=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 36, 72, 54, 50 ]
58
[ "72/36=2", "54*2=108", "108-50=58" ]
Current State: 58:[36, 72, 54, 50], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [54, 50, 2] Generated Node #2: [54, 50, 2] from Operation: 72/36=2 Current State: 58:[54, 50, 2], Operations: ['72/36=2'] Exploring Operation: 54*2=108, Resulting Numbers: [50, 108] Generated Node #3: [50, 108] from Operation: 54*2=108 Current State: 58:[50, 108], Operations: ['72/36=2', '54*2=108'] Exploring Operation: 108-50=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 75, 14, 6, 58 ]
37
[ "75+14=89", "58-6=52", "89-52=37" ]
Current State: 37:[75, 14, 6, 58], Operations: [] Exploring Operation: 75+14=89, Resulting Numbers: [6, 58, 89] Generated Node #2: [6, 58, 89] from Operation: 75+14=89 Current State: 37:[6, 58, 89], Operations: ['75+14=89'] Exploring Operation: 58-6=52, Resulting Numbers: [89, 52] Generated Node #3: [89, 52] from Operation: 58-6=52 Current State: 37:[89, 52], Operations: ['75+14=89', '58-6=52'] Exploring Operation: 89-52=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 3, 16, 6 ]
78
[ "6/3=2", "16*2=32", "46+32=78" ]
Current State: 78:[46, 3, 16, 6], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [46, 16, 2] Generated Node #2: [46, 16, 2] from Operation: 6/3=2 Current State: 78:[46, 16, 2], Operations: ['6/3=2'] Exploring Operation: 16*2=32, Resulting Numbers: [46, 32] Generated Node #3: [46, 32] from Operation: 16*2=32 Current State: 78:[46, 32], Operations: ['6/3=2', '16*2=32'] Exploring Operation: 46+32=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 10, 85, 91 ]
26
[ "2*10=20", "91-85=6", "20+6=26" ]
Current State: 26:[2, 10, 85, 91], Operations: [] Exploring Operation: 2*10=20, Resulting Numbers: [85, 91, 20] Generated Node #2: [85, 91, 20] from Operation: 2*10=20 Current State: 26:[85, 91, 20], Operations: ['2*10=20'] Exploring Operation: 91-85=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 91-85=6 Current State: 26:[20, 6], Operations: ['2*10=20', '91-85=6'] Exploring Operation: 20+6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 54, 51, 48, 81 ]
79
[ "54+48=102", "102/51=2", "81-2=79" ]
Current State: 79:[54, 51, 48, 81], Operations: [] Exploring Operation: 54+48=102, Resulting Numbers: [51, 81, 102] Generated Node #2: [51, 81, 102] from Operation: 54+48=102 Current State: 79:[51, 81, 102], Operations: ['54+48=102'] Exploring Operation: 102/51=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 102/51=2 Current State: 79:[81, 2], Operations: ['54+48=102', '102/51=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 61, 30, 63 ]
43
[ "63-61=2", "26/2=13", "30+13=43" ]
Current State: 43:[26, 61, 30, 63], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [26, 30, 2] Generated Node #2: [26, 30, 2] from Operation: 63-61=2 Current State: 43:[26, 30, 2], Operations: ['63-61=2'] Exploring Operation: 26/2=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 26/2=13 Current State: 43:[30, 13], Operations: ['63-61=2', '26/2=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 89, 68, 76 ]
38
[ "89-59=30", "76-68=8", "30+8=38" ]
Current State: 38:[59, 89, 68, 76], Operations: [] Exploring Operation: 89-59=30, Resulting Numbers: [68, 76, 30] Generated Node #2: [68, 76, 30] from Operation: 89-59=30 Current State: 38:[68, 76, 30], Operations: ['89-59=30'] Exploring Operation: 76-68=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 76-68=8 Current State: 38:[30, 8], Operations: ['89-59=30', '76-68=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 45, 52, 72, 72 ]
32
[ "45+72=117", "52*72=3744", "3744/117=32" ]
Current State: 32:[45, 52, 72, 72], Operations: [] Exploring Operation: 45+72=117, Resulting Numbers: [52, 117] Generated Node #2: [52, 117] from Operation: 45+72=117 Current State: 32:[52, 117], Operations: ['45+72=117'] Exploring Operation: 52*72=3744, Resulting Numbers: [117, 3744] Generated Node #3: [117, 3744] from Operation: 52*72=3744 Current State: 32:[117, 3744], Operations: ['45+72=117', '52*72=3744'] Exploring Operation: 3744/117=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 36, 59, 60, 47 ]
82
[ "36+59=95", "60-47=13", "95-13=82" ]
Current State: 82:[36, 59, 60, 47], Operations: [] Exploring Operation: 36+59=95, Resulting Numbers: [60, 47, 95] Generated Node #2: [60, 47, 95] from Operation: 36+59=95 Current State: 82:[60, 47, 95], Operations: ['36+59=95'] Exploring Operation: 60-47=13, Resulting Numbers: [95, 13] Generated Node #3: [95, 13] from Operation: 60-47=13 Current State: 82:[95, 13], Operations: ['36+59=95', '60-47=13'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 42, 10, 99 ]
68
[ "42-1=41", "10+99=109", "109-41=68" ]
Current State: 68:[1, 42, 10, 99], Operations: [] Exploring Operation: 42-1=41, Resulting Numbers: [10, 99, 41] Generated Node #2: [10, 99, 41] from Operation: 42-1=41 Current State: 68:[10, 99, 41], Operations: ['42-1=41'] Exploring Operation: 10+99=109, Resulting Numbers: [41, 109] Generated Node #3: [41, 109] from Operation: 10+99=109 Current State: 68:[41, 109], Operations: ['42-1=41', '10+99=109'] Exploring Operation: 109-41=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 41, 91, 55, 89 ]
98
[ "41+91=132", "89-55=34", "132-34=98" ]
Current State: 98:[41, 91, 55, 89], Operations: [] Exploring Operation: 41+91=132, Resulting Numbers: [55, 89, 132] Generated Node #2: [55, 89, 132] from Operation: 41+91=132 Current State: 98:[55, 89, 132], Operations: ['41+91=132'] Exploring Operation: 89-55=34, Resulting Numbers: [132, 34] Generated Node #3: [132, 34] from Operation: 89-55=34 Current State: 98:[132, 34], Operations: ['41+91=132', '89-55=34'] Exploring Operation: 132-34=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 58, 97, 8, 38 ]
69
[ "97-58=39", "38-8=30", "39+30=69" ]
Current State: 69:[58, 97, 8, 38], Operations: [] Exploring Operation: 97-58=39, Resulting Numbers: [8, 38, 39] Generated Node #2: [8, 38, 39] from Operation: 97-58=39 Current State: 69:[8, 38, 39], Operations: ['97-58=39'] Exploring Operation: 38-8=30, Resulting Numbers: [39, 30] Generated Node #3: [39, 30] from Operation: 38-8=30 Current State: 69:[39, 30], Operations: ['97-58=39', '38-8=30'] Exploring Operation: 39+30=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 53, 98, 70, 74 ]
99
[ "98-53=45", "70+74=144", "144-45=99" ]
Current State: 99:[53, 98, 70, 74], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [70, 74, 45] Generated Node #2: [70, 74, 45] from Operation: 98-53=45 Current State: 99:[70, 74, 45], Operations: ['98-53=45'] Exploring Operation: 70+74=144, Resulting Numbers: [45, 144] Generated Node #3: [45, 144] from Operation: 70+74=144 Current State: 99:[45, 144], Operations: ['98-53=45', '70+74=144'] Exploring Operation: 144-45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 32, 7, 77, 91 ]
66
[ "91-77=14", "7*14=98", "98-32=66" ]
Current State: 66:[32, 7, 77, 91], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [32, 7, 14] Generated Node #2: [32, 7, 14] from Operation: 91-77=14 Current State: 66:[32, 7, 14], Operations: ['91-77=14'] Exploring Operation: 7*14=98, Resulting Numbers: [32, 98] Generated Node #3: [32, 98] from Operation: 7*14=98 Current State: 66:[32, 98], Operations: ['91-77=14', '7*14=98'] Exploring Operation: 98-32=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 49, 81, 35 ]
91
[ "49-4=45", "81-35=46", "45+46=91" ]
Current State: 91:[4, 49, 81, 35], Operations: [] Exploring Operation: 49-4=45, Resulting Numbers: [81, 35, 45] Generated Node #2: [81, 35, 45] from Operation: 49-4=45 Current State: 91:[81, 35, 45], Operations: ['49-4=45'] Exploring Operation: 81-35=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 81-35=46 Current State: 91:[45, 46], Operations: ['49-4=45', '81-35=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 51, 56, 6, 83 ]
83
[ "56-51=5", "6-5=1", "83*1=83" ]
Current State: 83:[51, 56, 6, 83], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [6, 83, 5] Generated Node #2: [6, 83, 5] from Operation: 56-51=5 Current State: 83:[6, 83, 5], Operations: ['56-51=5'] Exploring Operation: 6-5=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 6-5=1 Current State: 83:[83, 1], Operations: ['56-51=5', '6-5=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 44, 89, 23 ]
79
[ "44-23=21", "8*21=168", "168-89=79" ]
Current State: 79:[8, 44, 89, 23], Operations: [] Exploring Operation: 44-23=21, Resulting Numbers: [8, 89, 21] Generated Node #2: [8, 89, 21] from Operation: 44-23=21 Current State: 79:[8, 89, 21], Operations: ['44-23=21'] Exploring Operation: 8*21=168, Resulting Numbers: [89, 168] Generated Node #3: [89, 168] from Operation: 8*21=168 Current State: 79:[89, 168], Operations: ['44-23=21', '8*21=168'] Exploring Operation: 168-89=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 25, 45, 67 ]
73
[ "45-25=20", "7*20=140", "140-67=73" ]
Current State: 73:[7, 25, 45, 67], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [7, 67, 20] Generated Node #2: [7, 67, 20] from Operation: 45-25=20 Current State: 73:[7, 67, 20], Operations: ['45-25=20'] Exploring Operation: 7*20=140, Resulting Numbers: [67, 140] Generated Node #3: [67, 140] from Operation: 7*20=140 Current State: 73:[67, 140], Operations: ['45-25=20', '7*20=140'] Exploring Operation: 140-67=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 68, 22, 32, 46 ]
76
[ "68+22=90", "46-32=14", "90-14=76" ]
Current State: 76:[68, 22, 32, 46], Operations: [] Exploring Operation: 68+22=90, Resulting Numbers: [32, 46, 90] Generated Node #2: [32, 46, 90] from Operation: 68+22=90 Current State: 76:[32, 46, 90], Operations: ['68+22=90'] Exploring Operation: 46-32=14, Resulting Numbers: [90, 14] Generated Node #3: [90, 14] from Operation: 46-32=14 Current State: 76:[90, 14], Operations: ['68+22=90', '46-32=14'] Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 36, 14, 20 ]
27
[ "20/4=5", "36-14=22", "5+22=27" ]
Current State: 27:[4, 36, 14, 20], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [36, 14, 5] Generated Node #2: [36, 14, 5] from Operation: 20/4=5 Current State: 27:[36, 14, 5], Operations: ['20/4=5'] Exploring Operation: 36-14=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 36-14=22 Current State: 27:[5, 22], Operations: ['20/4=5', '36-14=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 68, 80, 18 ]
60
[ "54+68=122", "80-18=62", "122-62=60" ]
Current State: 60:[54, 68, 80, 18], Operations: [] Exploring Operation: 54+68=122, Resulting Numbers: [80, 18, 122] Generated Node #2: [80, 18, 122] from Operation: 54+68=122 Current State: 60:[80, 18, 122], Operations: ['54+68=122'] Exploring Operation: 80-18=62, Resulting Numbers: [122, 62] Generated Node #3: [122, 62] from Operation: 80-18=62 Current State: 60:[122, 62], Operations: ['54+68=122', '80-18=62'] Exploring Operation: 122-62=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 80, 38, 76, 39 ]
81
[ "80+38=118", "76-39=37", "118-37=81" ]
Current State: 81:[80, 38, 76, 39], Operations: [] Exploring Operation: 80+38=118, Resulting Numbers: [76, 39, 118] Generated Node #2: [76, 39, 118] from Operation: 80+38=118 Current State: 81:[76, 39, 118], Operations: ['80+38=118'] Exploring Operation: 76-39=37, Resulting Numbers: [118, 37] Generated Node #3: [118, 37] from Operation: 76-39=37 Current State: 81:[118, 37], Operations: ['80+38=118', '76-39=37'] Exploring Operation: 118-37=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 50, 95, 19, 2 ]
63
[ "50+95=145", "145-19=126", "126/2=63" ]
Current State: 63:[50, 95, 19, 2], Operations: [] Exploring Operation: 50+95=145, Resulting Numbers: [19, 2, 145] Generated Node #2: [19, 2, 145] from Operation: 50+95=145 Current State: 63:[19, 2, 145], Operations: ['50+95=145'] Exploring Operation: 145-19=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 145-19=126 Current State: 63:[2, 126], Operations: ['50+95=145', '145-19=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 48, 82, 41, 79 ]
55
[ "48*41=1968", "1968/82=24", "79-24=55" ]
Current State: 55:[48, 82, 41, 79], Operations: [] Exploring Operation: 48*41=1968, Resulting Numbers: [82, 79, 1968] Generated Node #2: [82, 79, 1968] from Operation: 48*41=1968 Current State: 55:[82, 79, 1968], Operations: ['48*41=1968'] Exploring Operation: 1968/82=24, Resulting Numbers: [79, 24] Generated Node #3: [79, 24] from Operation: 1968/82=24 Current State: 55:[79, 24], Operations: ['48*41=1968', '1968/82=24'] Exploring Operation: 79-24=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 29, 49, 99, 9 ]
31
[ "49-29=20", "99/9=11", "20+11=31" ]
Current State: 31:[29, 49, 99, 9], Operations: [] Exploring Operation: 49-29=20, Resulting Numbers: [99, 9, 20] Generated Node #2: [99, 9, 20] from Operation: 49-29=20 Current State: 31:[99, 9, 20], Operations: ['49-29=20'] Exploring Operation: 99/9=11, Resulting Numbers: [20, 11] Generated Node #3: [20, 11] from Operation: 99/9=11 Current State: 31:[20, 11], Operations: ['49-29=20', '99/9=11'] Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 45, 51, 92 ]
68
[ "24+45=69", "51*92=4692", "4692/69=68" ]
Current State: 68:[24, 45, 51, 92], Operations: [] Exploring Operation: 24+45=69, Resulting Numbers: [51, 92, 69] Generated Node #2: [51, 92, 69] from Operation: 24+45=69 Current State: 68:[51, 92, 69], Operations: ['24+45=69'] Exploring Operation: 51*92=4692, Resulting Numbers: [69, 4692] Generated Node #3: [69, 4692] from Operation: 51*92=4692 Current State: 68:[69, 4692], Operations: ['24+45=69', '51*92=4692'] Exploring Operation: 4692/69=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 8, 56, 25 ]
21
[ "52+8=60", "56+25=81", "81-60=21" ]
Current State: 21:[52, 8, 56, 25], Operations: [] Exploring Operation: 52+8=60, Resulting Numbers: [56, 25, 60] Generated Node #2: [56, 25, 60] from Operation: 52+8=60 Current State: 21:[56, 25, 60], Operations: ['52+8=60'] Exploring Operation: 56+25=81, Resulting Numbers: [60, 81] Generated Node #3: [60, 81] from Operation: 56+25=81 Current State: 21:[60, 81], Operations: ['52+8=60', '56+25=81'] Exploring Operation: 81-60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 40, 83, 66 ]
68
[ "44-40=4", "83-66=17", "4*17=68" ]
Current State: 68:[44, 40, 83, 66], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [83, 66, 4] Generated Node #2: [83, 66, 4] from Operation: 44-40=4 Current State: 68:[83, 66, 4], Operations: ['44-40=4'] Exploring Operation: 83-66=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 83-66=17 Current State: 68:[4, 17], Operations: ['44-40=4', '83-66=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 84, 62, 2 ]
94
[ "42+84=126", "62+126=188", "188/2=94" ]
Current State: 94:[42, 84, 62, 2], Operations: [] Exploring Operation: 42+84=126, Resulting Numbers: [62, 2, 126] Generated Node #2: [62, 2, 126] from Operation: 42+84=126 Current State: 94:[62, 2, 126], Operations: ['42+84=126'] Exploring Operation: 62+126=188, Resulting Numbers: [2, 188] Generated Node #3: [2, 188] from Operation: 62+126=188 Current State: 94:[2, 188], Operations: ['42+84=126', '62+126=188'] Exploring Operation: 188/2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 51, 40, 22 ]
32
[ "51-40=11", "22/11=2", "30+2=32" ]
Current State: 32:[30, 51, 40, 22], Operations: [] Exploring Operation: 51-40=11, Resulting Numbers: [30, 22, 11] Generated Node #2: [30, 22, 11] from Operation: 51-40=11 Current State: 32:[30, 22, 11], Operations: ['51-40=11'] Exploring Operation: 22/11=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 22/11=2 Current State: 32:[30, 2], Operations: ['51-40=11', '22/11=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 77, 61, 80 ]
73
[ "77-61=16", "80/16=5", "78-5=73" ]
Current State: 73:[78, 77, 61, 80], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [78, 80, 16] Generated Node #2: [78, 80, 16] from Operation: 77-61=16 Current State: 73:[78, 80, 16], Operations: ['77-61=16'] Exploring Operation: 80/16=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 80/16=5 Current State: 73:[78, 5], Operations: ['77-61=16', '80/16=5'] Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 50, 6, 22 ]
44
[ "14+22=36", "36/6=6", "50-6=44" ]
Current State: 44:[14, 50, 6, 22], Operations: [] Exploring Operation: 14+22=36, Resulting Numbers: [50, 6, 36] Generated Node #2: [50, 6, 36] from Operation: 14+22=36 Current State: 44:[50, 6, 36], Operations: ['14+22=36'] Exploring Operation: 36/6=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 36/6=6 Current State: 44:[50, 6], Operations: ['14+22=36', '36/6=6'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 36, 44, 37, 5 ]
40
[ "44-36=8", "37-5=32", "8+32=40" ]
Current State: 40:[36, 44, 37, 5], Operations: [] Exploring Operation: 44-36=8, Resulting Numbers: [37, 5, 8] Generated Node #2: [37, 5, 8] from Operation: 44-36=8 Current State: 40:[37, 5, 8], Operations: ['44-36=8'] Exploring Operation: 37-5=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 37-5=32 Current State: 40:[8, 32], Operations: ['44-36=8', '37-5=32'] Exploring Operation: 8+32=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 27, 99, 8, 3 ]
33
[ "27-3=24", "99*8=792", "792/24=33" ]
Current State: 33:[27, 99, 8, 3], Operations: [] Exploring Operation: 27-3=24, Resulting Numbers: [99, 8, 24] Generated Node #2: [99, 8, 24] from Operation: 27-3=24 Current State: 33:[99, 8, 24], Operations: ['27-3=24'] Exploring Operation: 99*8=792, Resulting Numbers: [24, 792] Generated Node #3: [24, 792] from Operation: 99*8=792 Current State: 33:[24, 792], Operations: ['27-3=24', '99*8=792'] Exploring Operation: 792/24=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 33, 38, 25 ]
51
[ "66/33=2", "38*2=76", "76-25=51" ]
Current State: 51:[66, 33, 38, 25], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [38, 25, 2] Generated Node #2: [38, 25, 2] from Operation: 66/33=2 Current State: 51:[38, 25, 2], Operations: ['66/33=2'] Exploring Operation: 38*2=76, Resulting Numbers: [25, 76] Generated Node #3: [25, 76] from Operation: 38*2=76 Current State: 51:[25, 76], Operations: ['66/33=2', '38*2=76'] Exploring Operation: 76-25=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 14, 92, 12 ]
25
[ "92/4=23", "14-12=2", "23+2=25" ]
Current State: 25:[4, 14, 92, 12], Operations: [] Exploring Operation: 92/4=23, Resulting Numbers: [14, 12, 23] Generated Node #2: [14, 12, 23] from Operation: 92/4=23 Current State: 25:[14, 12, 23], Operations: ['92/4=23'] Exploring Operation: 14-12=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 14-12=2 Current State: 25:[23, 2], Operations: ['92/4=23', '14-12=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 5, 2, 76 ]
55
[ "95/5=19", "76-2=74", "74-19=55" ]
Current State: 55:[95, 5, 2, 76], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [2, 76, 19] Generated Node #2: [2, 76, 19] from Operation: 95/5=19 Current State: 55:[2, 76, 19], Operations: ['95/5=19'] Exploring Operation: 76-2=74, Resulting Numbers: [19, 74] Generated Node #3: [19, 74] from Operation: 76-2=74 Current State: 55:[19, 74], Operations: ['95/5=19', '76-2=74'] Exploring Operation: 74-19=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 95, 10, 98, 93 ]
41
[ "98-95=3", "93/3=31", "10+31=41" ]
Current State: 41:[95, 10, 98, 93], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [10, 93, 3] Generated Node #2: [10, 93, 3] from Operation: 98-95=3 Current State: 41:[10, 93, 3], Operations: ['98-95=3'] Exploring Operation: 93/3=31, Resulting Numbers: [10, 31] Generated Node #3: [10, 31] from Operation: 93/3=31 Current State: 41:[10, 31], Operations: ['98-95=3', '93/3=31'] Exploring Operation: 10+31=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 39, 16, 38 ]
100
[ "84+16=100", "39-38=1", "100*1=100" ]
Current State: 100:[84, 39, 16, 38], Operations: [] Exploring Operation: 84+16=100, Resulting Numbers: [39, 38, 100] Generated Node #2: [39, 38, 100] from Operation: 84+16=100 Current State: 100:[39, 38, 100], Operations: ['84+16=100'] Exploring Operation: 39-38=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 39-38=1 Current State: 100:[100, 1], Operations: ['84+16=100', '39-38=1'] Exploring Operation: 100*1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 36, 54, 63 ]
61
[ "36/4=9", "63/9=7", "54+7=61" ]
Current State: 61:[4, 36, 54, 63], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [54, 63, 9] Generated Node #2: [54, 63, 9] from Operation: 36/4=9 Current State: 61:[54, 63, 9], Operations: ['36/4=9'] Exploring Operation: 63/9=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 63/9=7 Current State: 61:[54, 7], Operations: ['36/4=9', '63/9=7'] Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 45, 58, 13 ]
48
[ "48+45=93", "58-13=45", "93-45=48" ]
Current State: 48:[48, 45, 58, 13], Operations: [] Exploring Operation: 48+45=93, Resulting Numbers: [58, 13, 93] Generated Node #2: [58, 13, 93] from Operation: 48+45=93 Current State: 48:[58, 13, 93], Operations: ['48+45=93'] Exploring Operation: 58-13=45, Resulting Numbers: [93, 45] Generated Node #3: [93, 45] from Operation: 58-13=45 Current State: 48:[93, 45], Operations: ['48+45=93', '58-13=45'] Exploring Operation: 93-45=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 54, 13, 12, 61 ]
41
[ "54+61=115", "13*12=156", "156-115=41" ]
Current State: 41:[54, 13, 12, 61], Operations: [] Exploring Operation: 54+61=115, Resulting Numbers: [13, 12, 115] Generated Node #2: [13, 12, 115] from Operation: 54+61=115 Current State: 41:[13, 12, 115], Operations: ['54+61=115'] Exploring Operation: 13*12=156, Resulting Numbers: [115, 156] Generated Node #3: [115, 156] from Operation: 13*12=156 Current State: 41:[115, 156], Operations: ['54+61=115', '13*12=156'] Exploring Operation: 156-115=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 88, 83, 99 ]
64
[ "88-84=4", "99-83=16", "4*16=64" ]
Current State: 64:[84, 88, 83, 99], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [83, 99, 4] Generated Node #2: [83, 99, 4] from Operation: 88-84=4 Current State: 64:[83, 99, 4], Operations: ['88-84=4'] Exploring Operation: 99-83=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 99-83=16 Current State: 64:[4, 16], Operations: ['88-84=4', '99-83=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 30, 12, 21, 6 ]
18
[ "30-12=18", "21-18=3", "6*3=18" ]
Current State: 18:[30, 12, 21, 6], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [21, 6, 18] Generated Node #2: [21, 6, 18] from Operation: 30-12=18 Current State: 18:[21, 6, 18], Operations: ['30-12=18'] Exploring Operation: 21-18=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 21-18=3 Current State: 18:[6, 3], Operations: ['30-12=18', '21-18=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 89, 8, 92, 42 ]
31
[ "89-8=81", "92-42=50", "81-50=31" ]
Current State: 31:[89, 8, 92, 42], Operations: [] Exploring Operation: 89-8=81, Resulting Numbers: [92, 42, 81] Generated Node #2: [92, 42, 81] from Operation: 89-8=81 Current State: 31:[92, 42, 81], Operations: ['89-8=81'] Exploring Operation: 92-42=50, Resulting Numbers: [81, 50] Generated Node #3: [81, 50] from Operation: 92-42=50 Current State: 31:[81, 50], Operations: ['89-8=81', '92-42=50'] Exploring Operation: 81-50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 2, 76, 29 ]
22
[ "76-61=15", "29+15=44", "44/2=22" ]
Current State: 22:[61, 2, 76, 29], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [2, 29, 15] Generated Node #2: [2, 29, 15] from Operation: 76-61=15 Current State: 22:[2, 29, 15], Operations: ['76-61=15'] Exploring Operation: 29+15=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 29+15=44 Current State: 22:[2, 44], Operations: ['76-61=15', '29+15=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 40, 27, 24, 74 ]
29
[ "40*27=1080", "1080/24=45", "74-45=29" ]
Current State: 29:[40, 27, 24, 74], Operations: [] Exploring Operation: 40*27=1080, Resulting Numbers: [24, 74, 1080] Generated Node #2: [24, 74, 1080] from Operation: 40*27=1080 Current State: 29:[24, 74, 1080], Operations: ['40*27=1080'] Exploring Operation: 1080/24=45, Resulting Numbers: [74, 45] Generated Node #3: [74, 45] from Operation: 1080/24=45 Current State: 29:[74, 45], Operations: ['40*27=1080', '1080/24=45'] Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 26, 15, 37, 36 ]
38
[ "15+37=52", "52/26=2", "36+2=38" ]
Current State: 38:[26, 15, 37, 36], Operations: [] Exploring Operation: 15+37=52, Resulting Numbers: [26, 36, 52] Generated Node #2: [26, 36, 52] from Operation: 15+37=52 Current State: 38:[26, 36, 52], Operations: ['15+37=52'] Exploring Operation: 52/26=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 52/26=2 Current State: 38:[36, 2], Operations: ['15+37=52', '52/26=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 82, 49, 93 ]
54
[ "82-79=3", "49*3=147", "147-93=54" ]
Current State: 54:[79, 82, 49, 93], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [49, 93, 3] Generated Node #2: [49, 93, 3] from Operation: 82-79=3 Current State: 54:[49, 93, 3], Operations: ['82-79=3'] Exploring Operation: 49*3=147, Resulting Numbers: [93, 147] Generated Node #3: [93, 147] from Operation: 49*3=147 Current State: 54:[93, 147], Operations: ['82-79=3', '49*3=147'] Exploring Operation: 147-93=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 79, 55, 27, 31 ]
54
[ "79+31=110", "110/55=2", "27*2=54" ]
Current State: 54:[79, 55, 27, 31], Operations: [] Exploring Operation: 79+31=110, Resulting Numbers: [55, 27, 110] Generated Node #2: [55, 27, 110] from Operation: 79+31=110 Current State: 54:[55, 27, 110], Operations: ['79+31=110'] Exploring Operation: 110/55=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 110/55=2 Current State: 54:[27, 2], Operations: ['79+31=110', '110/55=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 77, 8, 28, 33 ]
37
[ "33-28=5", "8*5=40", "77-40=37" ]
Current State: 37:[77, 8, 28, 33], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [77, 8, 5] Generated Node #2: [77, 8, 5] from Operation: 33-28=5 Current State: 37:[77, 8, 5], Operations: ['33-28=5'] Exploring Operation: 8*5=40, Resulting Numbers: [77, 40] Generated Node #3: [77, 40] from Operation: 8*5=40 Current State: 37:[77, 40], Operations: ['33-28=5', '8*5=40'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 55, 27, 56, 75 ]
47
[ "55-27=28", "75-56=19", "28+19=47" ]
Current State: 47:[55, 27, 56, 75], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [56, 75, 28] Generated Node #2: [56, 75, 28] from Operation: 55-27=28 Current State: 47:[56, 75, 28], Operations: ['55-27=28'] Exploring Operation: 75-56=19, Resulting Numbers: [28, 19] Generated Node #3: [28, 19] from Operation: 75-56=19 Current State: 47:[28, 19], Operations: ['55-27=28', '75-56=19'] Exploring Operation: 28+19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 30, 78, 23 ]
76
[ "16+30=46", "46/23=2", "78-2=76" ]
Current State: 76:[16, 30, 78, 23], Operations: [] Exploring Operation: 16+30=46, Resulting Numbers: [78, 23, 46] Generated Node #2: [78, 23, 46] from Operation: 16+30=46 Current State: 76:[78, 23, 46], Operations: ['16+30=46'] Exploring Operation: 46/23=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 46/23=2 Current State: 76:[78, 2], Operations: ['16+30=46', '46/23=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 58, 55, 18 ]
59
[ "74+58=132", "55+18=73", "132-73=59" ]
Current State: 59:[74, 58, 55, 18], Operations: [] Exploring Operation: 74+58=132, Resulting Numbers: [55, 18, 132] Generated Node #2: [55, 18, 132] from Operation: 74+58=132 Current State: 59:[55, 18, 132], Operations: ['74+58=132'] Exploring Operation: 55+18=73, Resulting Numbers: [132, 73] Generated Node #3: [132, 73] from Operation: 55+18=73 Current State: 59:[132, 73], Operations: ['74+58=132', '55+18=73'] Exploring Operation: 132-73=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 48, 44, 16, 29 ]
100
[ "48-44=4", "29*4=116", "116-16=100" ]
Current State: 100:[48, 44, 16, 29], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [16, 29, 4] Generated Node #2: [16, 29, 4] from Operation: 48-44=4 Current State: 100:[16, 29, 4], Operations: ['48-44=4'] Exploring Operation: 29*4=116, Resulting Numbers: [16, 116] Generated Node #3: [16, 116] from Operation: 29*4=116 Current State: 100:[16, 116], Operations: ['48-44=4', '29*4=116'] Exploring Operation: 116-16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 82, 96, 3 ]
71
[ "96+3=99", "99/9=11", "82-11=71" ]
Current State: 71:[9, 82, 96, 3], Operations: [] Exploring Operation: 96+3=99, Resulting Numbers: [9, 82, 99] Generated Node #2: [9, 82, 99] from Operation: 96+3=99 Current State: 71:[9, 82, 99], Operations: ['96+3=99'] Exploring Operation: 99/9=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 99/9=11 Current State: 71:[82, 11], Operations: ['96+3=99', '99/9=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 49, 36, 48 ]
30
[ "36-6=30", "49-48=1", "30*1=30" ]
Current State: 30:[6, 49, 36, 48], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [49, 48, 30] Generated Node #2: [49, 48, 30] from Operation: 36-6=30 Current State: 30:[49, 48, 30], Operations: ['36-6=30'] Exploring Operation: 49-48=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 49-48=1 Current State: 30:[30, 1], Operations: ['36-6=30', '49-48=1'] Exploring Operation: 30*1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 17, 2, 45, 45 ]
42
[ "17-2=15", "45/15=3", "45-3=42" ]
Current State: 42:[17, 2, 45, 45], Operations: [] Exploring Operation: 17-2=15, Resulting Numbers: [45, 45, 15] Generated Node #2: [45, 45, 15] from Operation: 17-2=15 Current State: 42:[45, 45, 15], Operations: ['17-2=15'] Exploring Operation: 45/15=3, Resulting Numbers: [3] 3,42 equal: Goal Reached Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 17, 24, 7 ]
91
[ "24-17=7", "7/7=1", "92-1=91" ]
Current State: 91:[92, 17, 24, 7], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [92, 7, 7] Generated Node #2: [92, 7, 7] from Operation: 24-17=7 Current State: 91:[92, 7, 7], Operations: ['24-17=7'] Exploring Operation: 7/7=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 7/7=1 Current State: 91:[92, 1], Operations: ['24-17=7', '7/7=1'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 92, 34, 19, 80 ]
27
[ "92+34=126", "19+80=99", "126-99=27" ]
Current State: 27:[92, 34, 19, 80], Operations: [] Exploring Operation: 92+34=126, Resulting Numbers: [19, 80, 126] Generated Node #2: [19, 80, 126] from Operation: 92+34=126 Current State: 27:[19, 80, 126], Operations: ['92+34=126'] Exploring Operation: 19+80=99, Resulting Numbers: [126, 99] Generated Node #3: [126, 99] from Operation: 19+80=99 Current State: 27:[126, 99], Operations: ['92+34=126', '19+80=99'] Exploring Operation: 126-99=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 27, 96, 36, 20 ]
21
[ "36-20=16", "96/16=6", "27-6=21" ]
Current State: 21:[27, 96, 36, 20], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [27, 96, 16] Generated Node #2: [27, 96, 16] from Operation: 36-20=16 Current State: 21:[27, 96, 16], Operations: ['36-20=16'] Exploring Operation: 96/16=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 96/16=6 Current State: 21:[27, 6], Operations: ['36-20=16', '96/16=6'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 76, 26, 65 ]
52
[ "54+76=130", "26*130=3380", "3380/65=52" ]
Current State: 52:[54, 76, 26, 65], Operations: [] Exploring Operation: 54+76=130, Resulting Numbers: [26, 65, 130] Generated Node #2: [26, 65, 130] from Operation: 54+76=130 Current State: 52:[26, 65, 130], Operations: ['54+76=130'] Exploring Operation: 26*130=3380, Resulting Numbers: [65, 3380] Generated Node #3: [65, 3380] from Operation: 26*130=3380 Current State: 52:[65, 3380], Operations: ['54+76=130', '26*130=3380'] Exploring Operation: 3380/65=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 52, 55, 3 ]
37
[ "60-55=5", "3*5=15", "52-15=37" ]
Current State: 37:[60, 52, 55, 3], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [52, 3, 5] Generated Node #2: [52, 3, 5] from Operation: 60-55=5 Current State: 37:[52, 3, 5], Operations: ['60-55=5'] Exploring Operation: 3*5=15, Resulting Numbers: [52, 15] Generated Node #3: [52, 15] from Operation: 3*5=15 Current State: 37:[52, 15], Operations: ['60-55=5', '3*5=15'] Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 29, 1, 36, 51 ]
44
[ "29*1=29", "51-36=15", "29+15=44" ]
Current State: 44:[29, 1, 36, 51], Operations: [] Exploring Operation: 29*1=29, Resulting Numbers: [36, 51, 29] Generated Node #2: [36, 51, 29] from Operation: 29*1=29 Current State: 44:[36, 51, 29], Operations: ['29*1=29'] Exploring Operation: 51-36=15, Resulting Numbers: [29, 15] Generated Node #3: [29, 15] from Operation: 51-36=15 Current State: 44:[29, 15], Operations: ['29*1=29', '51-36=15'] Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 97, 51, 69 ]
54
[ "97-69=28", "84/28=3", "51+3=54" ]
Current State: 54:[84, 97, 51, 69], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [84, 51, 28] Generated Node #2: [84, 51, 28] from Operation: 97-69=28 Current State: 54:[84, 51, 28], Operations: ['97-69=28'] Exploring Operation: 84/28=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 84/28=3 Current State: 54:[51, 3], Operations: ['97-69=28', '84/28=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 92, 46, 46, 30 ]
30
[ "92-46=46", "46+30=76", "76-46=30" ]
Current State: 30:[92, 46, 46, 30], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [30, 46] Generated Node #2: [30, 46] from Operation: 92-46=46 Current State: 30:[30, 46], Operations: ['92-46=46'] Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,30 equal: Goal Reached Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 42, 8, 85, 62 ]
72
[ "42+62=104", "104/8=13", "85-13=72" ]
Current State: 72:[42, 8, 85, 62], Operations: [] Exploring Operation: 42+62=104, Resulting Numbers: [8, 85, 104] Generated Node #2: [8, 85, 104] from Operation: 42+62=104 Current State: 72:[8, 85, 104], Operations: ['42+62=104'] Exploring Operation: 104/8=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 104/8=13 Current State: 72:[85, 13], Operations: ['42+62=104', '104/8=13'] Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 21, 79, 23, 13 ]
18
[ "23*13=299", "79+299=378", "378/21=18" ]
Current State: 18:[21, 79, 23, 13], Operations: [] Exploring Operation: 23*13=299, Resulting Numbers: [21, 79, 299] Generated Node #2: [21, 79, 299] from Operation: 23*13=299 Current State: 18:[21, 79, 299], Operations: ['23*13=299'] Exploring Operation: 79+299=378, Resulting Numbers: [21, 378] Generated Node #3: [21, 378] from Operation: 79+299=378 Current State: 18:[21, 378], Operations: ['23*13=299', '79+299=378'] Exploring Operation: 378/21=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 15, 57, 3 ]
65
[ "69+15=84", "57/3=19", "84-19=65" ]
Current State: 65:[69, 15, 57, 3], Operations: [] Exploring Operation: 69+15=84, Resulting Numbers: [57, 3, 84] Generated Node #2: [57, 3, 84] from Operation: 69+15=84 Current State: 65:[57, 3, 84], Operations: ['69+15=84'] Exploring Operation: 57/3=19, Resulting Numbers: [84, 19] Generated Node #3: [84, 19] from Operation: 57/3=19 Current State: 65:[84, 19], Operations: ['69+15=84', '57/3=19'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 21, 6, 86, 45 ]
85
[ "21*6=126", "86-45=41", "126-41=85" ]
Current State: 85:[21, 6, 86, 45], Operations: [] Exploring Operation: 21*6=126, Resulting Numbers: [86, 45, 126] Generated Node #2: [86, 45, 126] from Operation: 21*6=126 Current State: 85:[86, 45, 126], Operations: ['21*6=126'] Exploring Operation: 86-45=41, Resulting Numbers: [126, 41] Generated Node #3: [126, 41] from Operation: 86-45=41 Current State: 85:[126, 41], Operations: ['21*6=126', '86-45=41'] Exploring Operation: 126-41=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 85, 88, 3, 23 ]
78
[ "88-85=3", "3+23=26", "3*26=78" ]
Current State: 78:[85, 88, 3, 23], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [3, 23, 3] Generated Node #2: [3, 23, 3] from Operation: 88-85=3 Current State: 78:[3, 23, 3], Operations: ['88-85=3'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,78 equal: Goal Reached Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 63, 38, 68, 28 ]
15
[ "63-38=25", "68-28=40", "40-25=15" ]
Current State: 15:[63, 38, 68, 28], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [68, 28, 25] Generated Node #2: [68, 28, 25] from Operation: 63-38=25 Current State: 15:[68, 28, 25], Operations: ['63-38=25'] Exploring Operation: 68-28=40, Resulting Numbers: [25, 40] Generated Node #3: [25, 40] from Operation: 68-28=40 Current State: 15:[25, 40], Operations: ['63-38=25', '68-28=40'] Exploring Operation: 40-25=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 28, 32, 65, 79 ]
46
[ "28+32=60", "79-65=14", "60-14=46" ]
Current State: 46:[28, 32, 65, 79], Operations: [] Exploring Operation: 28+32=60, Resulting Numbers: [65, 79, 60] Generated Node #2: [65, 79, 60] from Operation: 28+32=60 Current State: 46:[65, 79, 60], Operations: ['28+32=60'] Exploring Operation: 79-65=14, Resulting Numbers: [60, 14] Generated Node #3: [60, 14] from Operation: 79-65=14 Current State: 46:[60, 14], Operations: ['28+32=60', '79-65=14'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 51, 57, 96 ]
42
[ "54-51=3", "96-57=39", "3+39=42" ]
Current State: 42:[54, 51, 57, 96], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [57, 96, 3] Generated Node #2: [57, 96, 3] from Operation: 54-51=3 Current State: 42:[57, 96, 3], Operations: ['54-51=3'] Exploring Operation: 96-57=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 96-57=39 Current State: 42:[3, 39], Operations: ['54-51=3', '96-57=39'] Exploring Operation: 3+39=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 74, 92, 28, 66 ]
30
[ "74*28=2072", "2072-92=1980", "1980/66=30" ]
Current State: 30:[74, 92, 28, 66], Operations: [] Exploring Operation: 74*28=2072, Resulting Numbers: [92, 66, 2072] Generated Node #2: [92, 66, 2072] from Operation: 74*28=2072 Current State: 30:[92, 66, 2072], Operations: ['74*28=2072'] Exploring Operation: 2072-92=1980, Resulting Numbers: [66, 1980] Generated Node #3: [66, 1980] from Operation: 2072-92=1980 Current State: 30:[66, 1980], Operations: ['74*28=2072', '2072-92=1980'] Exploring Operation: 1980/66=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 81, 8, 14, 11 ]
41
[ "11-8=3", "81/3=27", "14+27=41" ]
Current State: 41:[81, 8, 14, 11], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [81, 14, 3] Generated Node #2: [81, 14, 3] from Operation: 11-8=3 Current State: 41:[81, 14, 3], Operations: ['11-8=3'] Exploring Operation: 81/3=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 81/3=27 Current State: 41:[14, 27], Operations: ['11-8=3', '81/3=27'] Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 34, 32, 88 ]
74
[ "4*32=128", "88-34=54", "128-54=74" ]
Current State: 74:[4, 34, 32, 88], Operations: [] Exploring Operation: 4*32=128, Resulting Numbers: [34, 88, 128] Generated Node #2: [34, 88, 128] from Operation: 4*32=128 Current State: 74:[34, 88, 128], Operations: ['4*32=128'] Exploring Operation: 88-34=54, Resulting Numbers: [128, 54] Generated Node #3: [128, 54] from Operation: 88-34=54 Current State: 74:[128, 54], Operations: ['4*32=128', '88-34=54'] Exploring Operation: 128-54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 4, 61, 20 ]
14
[ "33+61=94", "4*20=80", "94-80=14" ]
Current State: 14:[33, 4, 61, 20], Operations: [] Exploring Operation: 33+61=94, Resulting Numbers: [4, 20, 94] Generated Node #2: [4, 20, 94] from Operation: 33+61=94 Current State: 14:[4, 20, 94], Operations: ['33+61=94'] Exploring Operation: 4*20=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 4*20=80 Current State: 14:[94, 80], Operations: ['33+61=94', '4*20=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 65, 6, 27, 72 ]
40
[ "65-6=59", "27+72=99", "99-59=40" ]
Current State: 40:[65, 6, 27, 72], Operations: [] Exploring Operation: 65-6=59, Resulting Numbers: [27, 72, 59] Generated Node #2: [27, 72, 59] from Operation: 65-6=59 Current State: 40:[27, 72, 59], Operations: ['65-6=59'] Exploring Operation: 27+72=99, Resulting Numbers: [59, 99] Generated Node #3: [59, 99] from Operation: 27+72=99 Current State: 40:[59, 99], Operations: ['65-6=59', '27+72=99'] Exploring Operation: 99-59=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 48, 2, 64, 4 ]
80
[ "48*2=96", "64/4=16", "96-16=80" ]
Current State: 80:[48, 2, 64, 4], Operations: [] Exploring Operation: 48*2=96, Resulting Numbers: [64, 4, 96] Generated Node #2: [64, 4, 96] from Operation: 48*2=96 Current State: 80:[64, 4, 96], Operations: ['48*2=96'] Exploring Operation: 64/4=16, Resulting Numbers: [96, 16] Generated Node #3: [96, 16] from Operation: 64/4=16 Current State: 80:[96, 16], Operations: ['48*2=96', '64/4=16'] Exploring Operation: 96-16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 31, 57, 79, 90 ]
81
[ "31+57=88", "79+90=169", "169-88=81" ]
Current State: 81:[31, 57, 79, 90], Operations: [] Exploring Operation: 31+57=88, Resulting Numbers: [79, 90, 88] Generated Node #2: [79, 90, 88] from Operation: 31+57=88 Current State: 81:[79, 90, 88], Operations: ['31+57=88'] Exploring Operation: 79+90=169, Resulting Numbers: [88, 169] Generated Node #3: [88, 169] from Operation: 79+90=169 Current State: 81:[88, 169], Operations: ['31+57=88', '79+90=169'] Exploring Operation: 169-88=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 85, 23, 57 ]
12
[ "85-17=68", "23+57=80", "80-68=12" ]
Current State: 12:[17, 85, 23, 57], Operations: [] Exploring Operation: 85-17=68, Resulting Numbers: [23, 57, 68] Generated Node #2: [23, 57, 68] from Operation: 85-17=68 Current State: 12:[23, 57, 68], Operations: ['85-17=68'] Exploring Operation: 23+57=80, Resulting Numbers: [68, 80] Generated Node #3: [68, 80] from Operation: 23+57=80 Current State: 12:[68, 80], Operations: ['85-17=68', '23+57=80'] Exploring Operation: 80-68=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 69, 84, 27 ]
46
[ "83-27=56", "69*56=3864", "3864/84=46" ]
Current State: 46:[83, 69, 84, 27], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [69, 84, 56] Generated Node #2: [69, 84, 56] from Operation: 83-27=56 Current State: 46:[69, 84, 56], Operations: ['83-27=56'] Exploring Operation: 69*56=3864, Resulting Numbers: [84, 3864] Generated Node #3: [84, 3864] from Operation: 69*56=3864 Current State: 46:[84, 3864], Operations: ['83-27=56', '69*56=3864'] Exploring Operation: 3864/84=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 19, 42, 36 ]
42
[ "19-19=0", "36*0=0", "42+0=42" ]
Current State: 42:[19, 19, 42, 36], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [42, 36, 0] Generated Node #2: [42, 36, 0] from Operation: 19-19=0 Current State: 42:[42, 36, 0], Operations: ['19-19=0'] Exploring Operation: 36*0=0, Resulting Numbers: [42, 0] Generated Node #3: [42, 0] from Operation: 36*0=0 Current State: 42:[42, 0], Operations: ['19-19=0', '36*0=0'] Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 57, 53, 38 ]
47
[ "57-53=4", "36/4=9", "38+9=47" ]
Current State: 47:[36, 57, 53, 38], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [36, 38, 4] Generated Node #2: [36, 38, 4] from Operation: 57-53=4 Current State: 47:[36, 38, 4], Operations: ['57-53=4'] Exploring Operation: 36/4=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 36/4=9 Current State: 47:[38, 9], Operations: ['57-53=4', '36/4=9'] Exploring Operation: 38+9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 19, 31, 4 ]
25
[ "38/19=2", "31-4=27", "27-2=25" ]
Current State: 25:[38, 19, 31, 4], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [31, 4, 2] Generated Node #2: [31, 4, 2] from Operation: 38/19=2 Current State: 25:[31, 4, 2], Operations: ['38/19=2'] Exploring Operation: 31-4=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 31-4=27 Current State: 25:[2, 27], Operations: ['38/19=2', '31-4=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 47, 83, 28 ]
68
[ "47-4=43", "83+28=111", "111-43=68" ]
Current State: 68:[4, 47, 83, 28], Operations: [] Exploring Operation: 47-4=43, Resulting Numbers: [83, 28, 43] Generated Node #2: [83, 28, 43] from Operation: 47-4=43 Current State: 68:[83, 28, 43], Operations: ['47-4=43'] Exploring Operation: 83+28=111, Resulting Numbers: [43, 111] Generated Node #3: [43, 111] from Operation: 83+28=111 Current State: 68:[43, 111], Operations: ['47-4=43', '83+28=111'] Exploring Operation: 111-43=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 99, 27, 38 ]
22
[ "99-66=33", "38-27=11", "33-11=22" ]
Current State: 22:[66, 99, 27, 38], Operations: [] Exploring Operation: 99-66=33, Resulting Numbers: [27, 38, 33] Generated Node #2: [27, 38, 33] from Operation: 99-66=33 Current State: 22:[27, 38, 33], Operations: ['99-66=33'] Exploring Operation: 38-27=11, Resulting Numbers: [33, 11] Generated Node #3: [33, 11] from Operation: 38-27=11 Current State: 22:[33, 11], Operations: ['99-66=33', '38-27=11'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 62, 2, 10, 57 ]
47
[ "62-10=52", "2*52=104", "104-57=47" ]
Current State: 47:[62, 2, 10, 57], Operations: [] Exploring Operation: 62-10=52, Resulting Numbers: [2, 57, 52] Generated Node #2: [2, 57, 52] from Operation: 62-10=52 Current State: 47:[2, 57, 52], Operations: ['62-10=52'] Exploring Operation: 2*52=104, Resulting Numbers: [57, 104] Generated Node #3: [57, 104] from Operation: 2*52=104 Current State: 47:[57, 104], Operations: ['62-10=52', '2*52=104'] Exploring Operation: 104-57=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 42, 4, 44, 76 ]
84
[ "44-42=2", "4*2=8", "76+8=84" ]
Current State: 84:[42, 4, 44, 76], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [4, 76, 2] Generated Node #2: [4, 76, 2] from Operation: 44-42=2 Current State: 84:[4, 76, 2], Operations: ['44-42=2'] Exploring Operation: 4*2=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 4*2=8 Current State: 84:[76, 8], Operations: ['44-42=2', '4*2=8'] Exploring Operation: 76+8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 20, 71, 16 ]
25
[ "26-20=6", "16*6=96", "96-71=25" ]
Current State: 25:[26, 20, 71, 16], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [71, 16, 6] Generated Node #2: [71, 16, 6] from Operation: 26-20=6 Current State: 25:[71, 16, 6], Operations: ['26-20=6'] Exploring Operation: 16*6=96, Resulting Numbers: [71, 96] Generated Node #3: [71, 96] from Operation: 16*6=96 Current State: 25:[71, 96], Operations: ['26-20=6', '16*6=96'] Exploring Operation: 96-71=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 3, 51, 46 ]
38
[ "51-3=48", "48/6=8", "46-8=38" ]
Current State: 38:[6, 3, 51, 46], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [6, 46, 48] Generated Node #2: [6, 46, 48] from Operation: 51-3=48 Current State: 38:[6, 46, 48], Operations: ['51-3=48'] Exploring Operation: 48/6=8, Resulting Numbers: [46, 8] Generated Node #3: [46, 8] from Operation: 48/6=8 Current State: 38:[46, 8], Operations: ['51-3=48', '48/6=8'] Exploring Operation: 46-8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 6, 46, 30, 29 ]
52
[ "6+46=52", "30-29=1", "52*1=52" ]
Current State: 52:[6, 46, 30, 29], Operations: [] Exploring Operation: 6+46=52, Resulting Numbers: [30, 29, 52] Generated Node #2: [30, 29, 52] from Operation: 6+46=52 Current State: 52:[30, 29, 52], Operations: ['6+46=52'] Exploring Operation: 30-29=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 30-29=1 Current State: 52:[52, 1], Operations: ['6+46=52', '30-29=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 39, 5, 26, 95 ]
82
[ "39+26=65", "65/5=13", "95-13=82" ]
Current State: 82:[39, 5, 26, 95], Operations: [] Exploring Operation: 39+26=65, Resulting Numbers: [5, 95, 65] Generated Node #2: [5, 95, 65] from Operation: 39+26=65 Current State: 82:[5, 95, 65], Operations: ['39+26=65'] Exploring Operation: 65/5=13, Resulting Numbers: [95, 13] Generated Node #3: [95, 13] from Operation: 65/5=13 Current State: 82:[95, 13], Operations: ['39+26=65', '65/5=13'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 42, 5, 44, 90 ]
16
[ "44-42=2", "90/5=18", "18-2=16" ]
Current State: 16:[42, 5, 44, 90], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [5, 90, 2] Generated Node #2: [5, 90, 2] from Operation: 44-42=2 Current State: 16:[5, 90, 2], Operations: ['44-42=2'] Exploring Operation: 90/5=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 90/5=18 Current State: 16:[2, 18], Operations: ['44-42=2', '90/5=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 14, 23, 16 ]
71
[ "23-16=7", "14*7=98", "98-27=71" ]
Current State: 71:[27, 14, 23, 16], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [27, 14, 7] Generated Node #2: [27, 14, 7] from Operation: 23-16=7 Current State: 71:[27, 14, 7], Operations: ['23-16=7'] Exploring Operation: 14*7=98, Resulting Numbers: [27, 98] Generated Node #3: [27, 98] from Operation: 14*7=98 Current State: 71:[27, 98], Operations: ['23-16=7', '14*7=98'] Exploring Operation: 98-27=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 42, 44, 97 ]
67
[ "32+42=74", "44+97=141", "141-74=67" ]
Current State: 67:[32, 42, 44, 97], Operations: [] Exploring Operation: 32+42=74, Resulting Numbers: [44, 97, 74] Generated Node #2: [44, 97, 74] from Operation: 32+42=74 Current State: 67:[44, 97, 74], Operations: ['32+42=74'] Exploring Operation: 44+97=141, Resulting Numbers: [74, 141] Generated Node #3: [74, 141] from Operation: 44+97=141 Current State: 67:[74, 141], Operations: ['32+42=74', '44+97=141'] Exploring Operation: 141-74=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 17, 77, 55, 99 ]
32
[ "17*99=1683", "77+1683=1760", "1760/55=32" ]
Current State: 32:[17, 77, 55, 99], Operations: [] Exploring Operation: 17*99=1683, Resulting Numbers: [77, 55, 1683] Generated Node #2: [77, 55, 1683] from Operation: 17*99=1683 Current State: 32:[77, 55, 1683], Operations: ['17*99=1683'] Exploring Operation: 77+1683=1760, Resulting Numbers: [55, 1760] Generated Node #3: [55, 1760] from Operation: 77+1683=1760 Current State: 32:[55, 1760], Operations: ['17*99=1683', '77+1683=1760'] Exploring Operation: 1760/55=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 44, 5, 26, 85 ]
20
[ "44-5=39", "85-26=59", "59-39=20" ]
Current State: 20:[44, 5, 26, 85], Operations: [] Exploring Operation: 44-5=39, Resulting Numbers: [26, 85, 39] Generated Node #2: [26, 85, 39] from Operation: 44-5=39 Current State: 20:[26, 85, 39], Operations: ['44-5=39'] Exploring Operation: 85-26=59, Resulting Numbers: [39, 59] Generated Node #3: [39, 59] from Operation: 85-26=59 Current State: 20:[39, 59], Operations: ['44-5=39', '85-26=59'] Exploring Operation: 59-39=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4