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
[ 18, 3, 27, 76 ]
64
[ "18-3=15", "76-27=49", "15+49=64" ]
Current State: 64:[18, 3, 27, 76], Operations: [] Exploring Operation: 18-3=15, Resulting Numbers: [27, 76, 15] Generated Node #2: [27, 76, 15] from Operation: 18-3=15 Current State: 64:[27, 76, 15], Operations: ['18-3=15'] Exploring Operation: 76-27=49, Resulting Numbers: [15, 49] Generated Node #3: [15, 49] from Operation: 76-27=49 Current State: 64:[15, 49], Operations: ['18-3=15', '76-27=49'] Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 41, 64, 80 ]
20
[ "64-41=23", "92/23=4", "80/4=20" ]
Current State: 20:[92, 41, 64, 80], Operations: [] Exploring Operation: 64-41=23, Resulting Numbers: [92, 80, 23] Generated Node #2: [92, 80, 23] from Operation: 64-41=23 Current State: 20:[92, 80, 23], Operations: ['64-41=23'] Exploring Operation: 92/23=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 92/23=4 Current State: 20:[80, 4], Operations: ['64-41=23', '92/23=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 77, 39, 49 ]
27
[ "49-39=10", "5*10=50", "77-50=27" ]
Current State: 27:[5, 77, 39, 49], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [5, 77, 10] Generated Node #2: [5, 77, 10] from Operation: 49-39=10 Current State: 27:[5, 77, 10], Operations: ['49-39=10'] Exploring Operation: 5*10=50, Resulting Numbers: [77, 50] Generated Node #3: [77, 50] from Operation: 5*10=50 Current State: 27:[77, 50], Operations: ['49-39=10', '5*10=50'] Exploring Operation: 77-50=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 52, 69, 3, 56 ]
99
[ "52+56=108", "69*3=207", "207-108=99" ]
Current State: 99:[52, 69, 3, 56], Operations: [] Exploring Operation: 52+56=108, Resulting Numbers: [69, 3, 108] Generated Node #2: [69, 3, 108] from Operation: 52+56=108 Current State: 99:[69, 3, 108], Operations: ['52+56=108'] Exploring Operation: 69*3=207, Resulting Numbers: [108, 207] Generated Node #3: [108, 207] from Operation: 69*3=207 Current State: 99:[108, 207], Operations: ['52+56=108', '69*3=207'] Exploring Operation: 207-108=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 41, 80, 55, 95 ]
82
[ "41*80=3280", "95-55=40", "3280/40=82" ]
Current State: 82:[41, 80, 55, 95], Operations: [] Exploring Operation: 41*80=3280, Resulting Numbers: [55, 95, 3280] Generated Node #2: [55, 95, 3280] from Operation: 41*80=3280 Current State: 82:[55, 95, 3280], Operations: ['41*80=3280'] Exploring Operation: 95-55=40, Resulting Numbers: [3280, 40] Generated Node #3: [3280, 40] from Operation: 95-55=40 Current State: 82:[3280, 40], Operations: ['41*80=3280', '95-55=40'] Exploring Operation: 3280/40=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 76, 37, 15, 78 ]
24
[ "76-37=39", "78-15=63", "63-39=24" ]
Current State: 24:[76, 37, 15, 78], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [15, 78, 39] Generated Node #2: [15, 78, 39] from Operation: 76-37=39 Current State: 24:[15, 78, 39], Operations: ['76-37=39'] Exploring Operation: 78-15=63, Resulting Numbers: [39, 63] Generated Node #3: [39, 63] from Operation: 78-15=63 Current State: 24:[39, 63], Operations: ['76-37=39', '78-15=63'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 30, 75, 9 ]
45
[ "27-9=18", "75*18=1350", "1350/30=45" ]
Current State: 45:[27, 30, 75, 9], Operations: [] Exploring Operation: 27-9=18, Resulting Numbers: [30, 75, 18] Generated Node #2: [30, 75, 18] from Operation: 27-9=18 Current State: 45:[30, 75, 18], Operations: ['27-9=18'] Exploring Operation: 75*18=1350, Resulting Numbers: [30, 1350] Generated Node #3: [30, 1350] from Operation: 75*18=1350 Current State: 45:[30, 1350], Operations: ['27-9=18', '75*18=1350'] Exploring Operation: 1350/30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 82, 33, 12, 43 ]
41
[ "33+12=45", "45-43=2", "82/2=41" ]
Current State: 41:[82, 33, 12, 43], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [82, 43, 45] Generated Node #2: [82, 43, 45] from Operation: 33+12=45 Current State: 41:[82, 43, 45], Operations: ['33+12=45'] Exploring Operation: 45-43=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 45-43=2 Current State: 41:[82, 2], Operations: ['33+12=45', '45-43=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 82, 16, 7, 76 ]
17
[ "82-16=66", "7+76=83", "83-66=17" ]
Current State: 17:[82, 16, 7, 76], Operations: [] Exploring Operation: 82-16=66, Resulting Numbers: [7, 76, 66] Generated Node #2: [7, 76, 66] from Operation: 82-16=66 Current State: 17:[7, 76, 66], Operations: ['82-16=66'] Exploring Operation: 7+76=83, Resulting Numbers: [66, 83] Generated Node #3: [66, 83] from Operation: 7+76=83 Current State: 17:[66, 83], Operations: ['82-16=66', '7+76=83'] Exploring Operation: 83-66=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 3, 12, 93 ]
39
[ "93-90=3", "3*12=36", "3+36=39" ]
Current State: 39:[90, 3, 12, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [3, 12, 3] Generated Node #2: [3, 12, 3] from Operation: 93-90=3 Current State: 39:[3, 12, 3], Operations: ['93-90=3'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,39 equal: Goal Reached Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 71, 39, 13, 4 ]
72
[ "71+13=84", "39*4=156", "156-84=72" ]
Current State: 72:[71, 39, 13, 4], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [39, 4, 84] Generated Node #2: [39, 4, 84] from Operation: 71+13=84 Current State: 72:[39, 4, 84], Operations: ['71+13=84'] Exploring Operation: 39*4=156, Resulting Numbers: [84, 156] Generated Node #3: [84, 156] from Operation: 39*4=156 Current State: 72:[84, 156], Operations: ['71+13=84', '39*4=156'] Exploring Operation: 156-84=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 96, 26, 50, 67 ]
63
[ "50-26=24", "96/24=4", "67-4=63" ]
Current State: 63:[96, 26, 50, 67], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [96, 67, 24] Generated Node #2: [96, 67, 24] from Operation: 50-26=24 Current State: 63:[96, 67, 24], Operations: ['50-26=24'] Exploring Operation: 96/24=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 96/24=4 Current State: 63:[67, 4], Operations: ['50-26=24', '96/24=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 39, 83, 11, 62 ]
66
[ "83-39=44", "44/11=4", "62+4=66" ]
Current State: 66:[39, 83, 11, 62], Operations: [] Exploring Operation: 83-39=44, Resulting Numbers: [11, 62, 44] Generated Node #2: [11, 62, 44] from Operation: 83-39=44 Current State: 66:[11, 62, 44], Operations: ['83-39=44'] Exploring Operation: 44/11=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 44/11=4 Current State: 66:[62, 4], Operations: ['83-39=44', '44/11=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 50, 98, 29, 4 ]
68
[ "98-50=48", "29*4=116", "116-48=68" ]
Current State: 68:[50, 98, 29, 4], Operations: [] Exploring Operation: 98-50=48, Resulting Numbers: [29, 4, 48] Generated Node #2: [29, 4, 48] from Operation: 98-50=48 Current State: 68:[29, 4, 48], Operations: ['98-50=48'] Exploring Operation: 29*4=116, Resulting Numbers: [48, 116] Generated Node #3: [48, 116] from Operation: 29*4=116 Current State: 68:[48, 116], Operations: ['98-50=48', '29*4=116'] Exploring Operation: 116-48=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 5, 58, 51 ]
29
[ "23*58=1334", "51-5=46", "1334/46=29" ]
Current State: 29:[23, 5, 58, 51], Operations: [] Exploring Operation: 23*58=1334, Resulting Numbers: [5, 51, 1334] Generated Node #2: [5, 51, 1334] from Operation: 23*58=1334 Current State: 29:[5, 51, 1334], Operations: ['23*58=1334'] Exploring Operation: 51-5=46, Resulting Numbers: [1334, 46] Generated Node #3: [1334, 46] from Operation: 51-5=46 Current State: 29:[1334, 46], Operations: ['23*58=1334', '51-5=46'] Exploring Operation: 1334/46=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 96, 11, 55, 42 ]
98
[ "96-11=85", "55-42=13", "85+13=98" ]
Current State: 98:[96, 11, 55, 42], Operations: [] Exploring Operation: 96-11=85, Resulting Numbers: [55, 42, 85] Generated Node #2: [55, 42, 85] from Operation: 96-11=85 Current State: 98:[55, 42, 85], Operations: ['96-11=85'] Exploring Operation: 55-42=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 55-42=13 Current State: 98:[85, 13], Operations: ['96-11=85', '55-42=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 1, 90, 7, 93 ]
20
[ "93-90=3", "7*3=21", "21-1=20" ]
Current State: 20:[1, 90, 7, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [1, 7, 3] Generated Node #2: [1, 7, 3] from Operation: 93-90=3 Current State: 20:[1, 7, 3], Operations: ['93-90=3'] Exploring Operation: 7*3=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 7*3=21 Current State: 20:[1, 21], Operations: ['93-90=3', '7*3=21'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 27, 89, 46 ]
98
[ "89+46=135", "135/27=5", "93+5=98" ]
Current State: 98:[93, 27, 89, 46], Operations: [] Exploring Operation: 89+46=135, Resulting Numbers: [93, 27, 135] Generated Node #2: [93, 27, 135] from Operation: 89+46=135 Current State: 98:[93, 27, 135], Operations: ['89+46=135'] Exploring Operation: 135/27=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 135/27=5 Current State: 98:[93, 5], Operations: ['89+46=135', '135/27=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 51, 74, 96 ]
27
[ "56-51=5", "96-74=22", "5+22=27" ]
Current State: 27:[56, 51, 74, 96], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [74, 96, 5] Generated Node #2: [74, 96, 5] from Operation: 56-51=5 Current State: 27:[74, 96, 5], Operations: ['56-51=5'] Exploring Operation: 96-74=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 96-74=22 Current State: 27:[5, 22], Operations: ['56-51=5', '96-74=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 8, 11, 26 ]
84
[ "91+8=99", "26-11=15", "99-15=84" ]
Current State: 84:[91, 8, 11, 26], Operations: [] Exploring Operation: 91+8=99, Resulting Numbers: [11, 26, 99] Generated Node #2: [11, 26, 99] from Operation: 91+8=99 Current State: 84:[11, 26, 99], Operations: ['91+8=99'] Exploring Operation: 26-11=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 26-11=15 Current State: 84:[99, 15], Operations: ['91+8=99', '26-11=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 30, 4, 98 ]
49
[ "30-22=8", "4*98=392", "392/8=49" ]
Current State: 49:[22, 30, 4, 98], Operations: [] Exploring Operation: 30-22=8, Resulting Numbers: [4, 98, 8] Generated Node #2: [4, 98, 8] from Operation: 30-22=8 Current State: 49:[4, 98, 8], Operations: ['30-22=8'] Exploring Operation: 4*98=392, Resulting Numbers: [8, 392] Generated Node #3: [8, 392] from Operation: 4*98=392 Current State: 49:[8, 392], Operations: ['30-22=8', '4*98=392'] Exploring Operation: 392/8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 24, 19, 96 ]
69
[ "96/24=4", "19*4=76", "76-7=69" ]
Current State: 69:[7, 24, 19, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [7, 19, 4] Generated Node #2: [7, 19, 4] from Operation: 96/24=4 Current State: 69:[7, 19, 4], Operations: ['96/24=4'] Exploring Operation: 19*4=76, Resulting Numbers: [7, 76] Generated Node #3: [7, 76] from Operation: 19*4=76 Current State: 69:[7, 76], Operations: ['96/24=4', '19*4=76'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 26, 46, 18, 83 ]
85
[ "46-26=20", "83-18=65", "20+65=85" ]
Current State: 85:[26, 46, 18, 83], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [18, 83, 20] Generated Node #2: [18, 83, 20] from Operation: 46-26=20 Current State: 85:[18, 83, 20], Operations: ['46-26=20'] Exploring Operation: 83-18=65, Resulting Numbers: [20, 65] Generated Node #3: [20, 65] from Operation: 83-18=65 Current State: 85:[20, 65], Operations: ['46-26=20', '83-18=65'] Exploring Operation: 20+65=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 39, 70, 10, 17 ]
80
[ "70/10=7", "17*7=119", "119-39=80" ]
Current State: 80:[39, 70, 10, 17], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [39, 17, 7] Generated Node #2: [39, 17, 7] from Operation: 70/10=7 Current State: 80:[39, 17, 7], Operations: ['70/10=7'] Exploring Operation: 17*7=119, Resulting Numbers: [39, 119] Generated Node #3: [39, 119] from Operation: 17*7=119 Current State: 80:[39, 119], Operations: ['70/10=7', '17*7=119'] Exploring Operation: 119-39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 4, 93, 37 ]
23
[ "93-37=56", "56/4=14", "9+14=23" ]
Current State: 23:[9, 4, 93, 37], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [9, 4, 56] Generated Node #2: [9, 4, 56] from Operation: 93-37=56 Current State: 23:[9, 4, 56], Operations: ['93-37=56'] Exploring Operation: 56/4=14, Resulting Numbers: [9, 14] Generated Node #3: [9, 14] from Operation: 56/4=14 Current State: 23:[9, 14], Operations: ['93-37=56', '56/4=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 36, 31, 13 ]
80
[ "36-31=5", "13-5=8", "10*8=80" ]
Current State: 80:[10, 36, 31, 13], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [10, 13, 5] Generated Node #2: [10, 13, 5] from Operation: 36-31=5 Current State: 80:[10, 13, 5], Operations: ['36-31=5'] Exploring Operation: 13-5=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 13-5=8 Current State: 80:[10, 8], Operations: ['36-31=5', '13-5=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 95, 17, 45, 4 ]
88
[ "45-17=28", "28/4=7", "95-7=88" ]
Current State: 88:[95, 17, 45, 4], Operations: [] Exploring Operation: 45-17=28, Resulting Numbers: [95, 4, 28] Generated Node #2: [95, 4, 28] from Operation: 45-17=28 Current State: 88:[95, 4, 28], Operations: ['45-17=28'] Exploring Operation: 28/4=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 28/4=7 Current State: 88:[95, 7], Operations: ['45-17=28', '28/4=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 24, 76, 80 ]
56
[ "24-10=14", "80-76=4", "14*4=56" ]
Current State: 56:[10, 24, 76, 80], Operations: [] Exploring Operation: 24-10=14, Resulting Numbers: [76, 80, 14] Generated Node #2: [76, 80, 14] from Operation: 24-10=14 Current State: 56:[76, 80, 14], Operations: ['24-10=14'] Exploring Operation: 80-76=4, Resulting Numbers: [14, 4] Generated Node #3: [14, 4] from Operation: 80-76=4 Current State: 56:[14, 4], Operations: ['24-10=14', '80-76=4'] Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 29, 18, 48 ]
57
[ "29-27=2", "18/2=9", "48+9=57" ]
Current State: 57:[27, 29, 18, 48], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [18, 48, 2] Generated Node #2: [18, 48, 2] from Operation: 29-27=2 Current State: 57:[18, 48, 2], Operations: ['29-27=2'] Exploring Operation: 18/2=9, Resulting Numbers: [48, 9] Generated Node #3: [48, 9] from Operation: 18/2=9 Current State: 57:[48, 9], Operations: ['29-27=2', '18/2=9'] Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 22, 72, 3, 21 ]
68
[ "72-22=50", "21-3=18", "50+18=68" ]
Current State: 68:[22, 72, 3, 21], Operations: [] Exploring Operation: 72-22=50, Resulting Numbers: [3, 21, 50] Generated Node #2: [3, 21, 50] from Operation: 72-22=50 Current State: 68:[3, 21, 50], Operations: ['72-22=50'] Exploring Operation: 21-3=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 21-3=18 Current State: 68:[50, 18], Operations: ['72-22=50', '21-3=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 24, 64, 4 ]
88
[ "4+24=28", "64-4=60", "28+60=88" ]
Current State: 88:[4, 24, 64, 4], Operations: [] Exploring Operation: 4+24=28, Resulting Numbers: [64, 28] Generated Node #2: [64, 28] from Operation: 4+24=28 Current State: 88:[64, 28], Operations: ['4+24=28'] Exploring Operation: 64-4=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 64-4=60 Current State: 88:[28, 60], Operations: ['4+24=28', '64-4=60'] Exploring Operation: 28+60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 97, 85, 89, 38 ]
55
[ "97+85=182", "89+38=127", "182-127=55" ]
Current State: 55:[97, 85, 89, 38], Operations: [] Exploring Operation: 97+85=182, Resulting Numbers: [89, 38, 182] Generated Node #2: [89, 38, 182] from Operation: 97+85=182 Current State: 55:[89, 38, 182], Operations: ['97+85=182'] Exploring Operation: 89+38=127, Resulting Numbers: [182, 127] Generated Node #3: [182, 127] from Operation: 89+38=127 Current State: 55:[182, 127], Operations: ['97+85=182', '89+38=127'] Exploring Operation: 182-127=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 6, 52, 92 ]
75
[ "46+92=138", "138/6=23", "52+23=75" ]
Current State: 75:[46, 6, 52, 92], Operations: [] Exploring Operation: 46+92=138, Resulting Numbers: [6, 52, 138] Generated Node #2: [6, 52, 138] from Operation: 46+92=138 Current State: 75:[6, 52, 138], Operations: ['46+92=138'] Exploring Operation: 138/6=23, Resulting Numbers: [52, 23] Generated Node #3: [52, 23] from Operation: 138/6=23 Current State: 75:[52, 23], Operations: ['46+92=138', '138/6=23'] Exploring Operation: 52+23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 88, 61, 33 ]
39
[ "2*33=66", "88-61=27", "66-27=39" ]
Current State: 39:[2, 88, 61, 33], Operations: [] Exploring Operation: 2*33=66, Resulting Numbers: [88, 61, 66] Generated Node #2: [88, 61, 66] from Operation: 2*33=66 Current State: 39:[88, 61, 66], Operations: ['2*33=66'] Exploring Operation: 88-61=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 88-61=27 Current State: 39:[66, 27], Operations: ['2*33=66', '88-61=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 70, 64, 67 ]
37
[ "24+70=94", "64+67=131", "131-94=37" ]
Current State: 37:[24, 70, 64, 67], Operations: [] Exploring Operation: 24+70=94, Resulting Numbers: [64, 67, 94] Generated Node #2: [64, 67, 94] from Operation: 24+70=94 Current State: 37:[64, 67, 94], Operations: ['24+70=94'] Exploring Operation: 64+67=131, Resulting Numbers: [94, 131] Generated Node #3: [94, 131] from Operation: 64+67=131 Current State: 37:[94, 131], Operations: ['24+70=94', '64+67=131'] Exploring Operation: 131-94=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 76, 18, 50 ]
67
[ "76-75=1", "18+50=68", "68-1=67" ]
Current State: 67:[75, 76, 18, 50], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [18, 50, 1] Generated Node #2: [18, 50, 1] from Operation: 76-75=1 Current State: 67:[18, 50, 1], Operations: ['76-75=1'] Exploring Operation: 18+50=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 18+50=68 Current State: 67:[1, 68], Operations: ['76-75=1', '18+50=68'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 75, 49, 23, 41 ]
38
[ "75-49=26", "23+41=64", "64-26=38" ]
Current State: 38:[75, 49, 23, 41], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [23, 41, 26] Generated Node #2: [23, 41, 26] from Operation: 75-49=26 Current State: 38:[23, 41, 26], Operations: ['75-49=26'] Exploring Operation: 23+41=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 23+41=64 Current State: 38:[26, 64], Operations: ['75-49=26', '23+41=64'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 33, 21, 25, 12 ]
30
[ "25-21=4", "12/4=3", "33-3=30" ]
Current State: 30:[33, 21, 25, 12], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [33, 12, 4] Generated Node #2: [33, 12, 4] from Operation: 25-21=4 Current State: 30:[33, 12, 4], Operations: ['25-21=4'] Exploring Operation: 12/4=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 12/4=3 Current State: 30:[33, 3], Operations: ['25-21=4', '12/4=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 21, 53, 42 ]
20
[ "10+21=31", "53-42=11", "31-11=20" ]
Current State: 20:[10, 21, 53, 42], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [53, 42, 31] Generated Node #2: [53, 42, 31] from Operation: 10+21=31 Current State: 20:[53, 42, 31], Operations: ['10+21=31'] Exploring Operation: 53-42=11, Resulting Numbers: [31, 11] Generated Node #3: [31, 11] from Operation: 53-42=11 Current State: 20:[31, 11], Operations: ['10+21=31', '53-42=11'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 6, 93, 60 ]
51
[ "17*6=102", "93+60=153", "153-102=51" ]
Current State: 51:[17, 6, 93, 60], Operations: [] Exploring Operation: 17*6=102, Resulting Numbers: [93, 60, 102] Generated Node #2: [93, 60, 102] from Operation: 17*6=102 Current State: 51:[93, 60, 102], Operations: ['17*6=102'] Exploring Operation: 93+60=153, Resulting Numbers: [102, 153] Generated Node #3: [102, 153] from Operation: 93+60=153 Current State: 51:[102, 153], Operations: ['17*6=102', '93+60=153'] Exploring Operation: 153-102=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 61, 17, 84 ]
74
[ "88-61=27", "17+84=101", "101-27=74" ]
Current State: 74:[88, 61, 17, 84], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [17, 84, 27] Generated Node #2: [17, 84, 27] from Operation: 88-61=27 Current State: 74:[17, 84, 27], Operations: ['88-61=27'] Exploring Operation: 17+84=101, Resulting Numbers: [27, 101] Generated Node #3: [27, 101] from Operation: 17+84=101 Current State: 74:[27, 101], Operations: ['88-61=27', '17+84=101'] Exploring Operation: 101-27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 13, 1, 20 ]
26
[ "22*1=22", "22-20=2", "13*2=26" ]
Current State: 26:[22, 13, 1, 20], Operations: [] Exploring Operation: 22*1=22, Resulting Numbers: [13, 20, 22] Generated Node #2: [13, 20, 22] from Operation: 22*1=22 Current State: 26:[13, 20, 22], Operations: ['22*1=22'] Exploring Operation: 22-20=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 22-20=2 Current State: 26:[13, 2], Operations: ['22*1=22', '22-20=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 17, 23, 71 ]
69
[ "29+17=46", "46/23=2", "71-2=69" ]
Current State: 69:[29, 17, 23, 71], Operations: [] Exploring Operation: 29+17=46, Resulting Numbers: [23, 71, 46] Generated Node #2: [23, 71, 46] from Operation: 29+17=46 Current State: 69:[23, 71, 46], Operations: ['29+17=46'] Exploring Operation: 46/23=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 46/23=2 Current State: 69:[71, 2], Operations: ['29+17=46', '46/23=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 56, 66, 70, 17 ]
43
[ "66-56=10", "70-17=53", "53-10=43" ]
Current State: 43:[56, 66, 70, 17], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [70, 17, 10] Generated Node #2: [70, 17, 10] from Operation: 66-56=10 Current State: 43:[70, 17, 10], Operations: ['66-56=10'] Exploring Operation: 70-17=53, Resulting Numbers: [10, 53] Generated Node #3: [10, 53] from Operation: 70-17=53 Current State: 43:[10, 53], Operations: ['66-56=10', '70-17=53'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 67, 44, 53 ]
66
[ "67-36=31", "44+53=97", "97-31=66" ]
Current State: 66:[36, 67, 44, 53], Operations: [] Exploring Operation: 67-36=31, Resulting Numbers: [44, 53, 31] Generated Node #2: [44, 53, 31] from Operation: 67-36=31 Current State: 66:[44, 53, 31], Operations: ['67-36=31'] Exploring Operation: 44+53=97, Resulting Numbers: [31, 97] Generated Node #3: [31, 97] from Operation: 44+53=97 Current State: 66:[31, 97], Operations: ['67-36=31', '44+53=97'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 50, 30, 35 ]
31
[ "84-50=34", "30+35=65", "65-34=31" ]
Current State: 31:[84, 50, 30, 35], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [30, 35, 34] Generated Node #2: [30, 35, 34] from Operation: 84-50=34 Current State: 31:[30, 35, 34], Operations: ['84-50=34'] Exploring Operation: 30+35=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 30+35=65 Current State: 31:[34, 65], Operations: ['84-50=34', '30+35=65'] Exploring Operation: 65-34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 44, 4, 71 ]
62
[ "43+71=114", "44*4=176", "176-114=62" ]
Current State: 62:[43, 44, 4, 71], Operations: [] Exploring Operation: 43+71=114, Resulting Numbers: [44, 4, 114] Generated Node #2: [44, 4, 114] from Operation: 43+71=114 Current State: 62:[44, 4, 114], Operations: ['43+71=114'] Exploring Operation: 44*4=176, Resulting Numbers: [114, 176] Generated Node #3: [114, 176] from Operation: 44*4=176 Current State: 62:[114, 176], Operations: ['43+71=114', '44*4=176'] Exploring Operation: 176-114=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 25, 24, 20, 26 ]
18
[ "24+26=50", "50/25=2", "20-2=18" ]
Current State: 18:[25, 24, 20, 26], Operations: [] Exploring Operation: 24+26=50, Resulting Numbers: [25, 20, 50] Generated Node #2: [25, 20, 50] from Operation: 24+26=50 Current State: 18:[25, 20, 50], Operations: ['24+26=50'] Exploring Operation: 50/25=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 50/25=2 Current State: 18:[20, 2], Operations: ['24+26=50', '50/25=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 74, 43, 39, 47 ]
76
[ "39+47=86", "86/43=2", "74+2=76" ]
Current State: 76:[74, 43, 39, 47], Operations: [] Exploring Operation: 39+47=86, Resulting Numbers: [74, 43, 86] Generated Node #2: [74, 43, 86] from Operation: 39+47=86 Current State: 76:[74, 43, 86], Operations: ['39+47=86'] Exploring Operation: 86/43=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 86/43=2 Current State: 76:[74, 2], Operations: ['39+47=86', '86/43=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 77, 28, 3 ]
61
[ "77/7=11", "3*11=33", "28+33=61" ]
Current State: 61:[7, 77, 28, 3], Operations: [] Exploring Operation: 77/7=11, Resulting Numbers: [28, 3, 11] Generated Node #2: [28, 3, 11] from Operation: 77/7=11 Current State: 61:[28, 3, 11], Operations: ['77/7=11'] Exploring Operation: 3*11=33, Resulting Numbers: [28, 33] Generated Node #3: [28, 33] from Operation: 3*11=33 Current State: 61:[28, 33], Operations: ['77/7=11', '3*11=33'] Exploring Operation: 28+33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 2, 20, 24 ]
55
[ "53-2=51", "24-20=4", "51+4=55" ]
Current State: 55:[53, 2, 20, 24], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [20, 24, 51] Generated Node #2: [20, 24, 51] from Operation: 53-2=51 Current State: 55:[20, 24, 51], Operations: ['53-2=51'] Exploring Operation: 24-20=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 24-20=4 Current State: 55:[51, 4], Operations: ['53-2=51', '24-20=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 26, 4, 16 ]
37
[ "26-16=10", "4*10=40", "40-3=37" ]
Current State: 37:[3, 26, 4, 16], Operations: [] Exploring Operation: 26-16=10, Resulting Numbers: [3, 4, 10] Generated Node #2: [3, 4, 10] from Operation: 26-16=10 Current State: 37:[3, 4, 10], Operations: ['26-16=10'] Exploring Operation: 4*10=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 4*10=40 Current State: 37:[3, 40], Operations: ['26-16=10', '4*10=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 76, 29, 76, 95 ]
95
[ "76-76=0", "29*0=0", "95+0=95" ]
Current State: 95:[76, 29, 76, 95], Operations: [] Exploring Operation: 76-76=0, Resulting Numbers: [29, 95, 0] Generated Node #2: [29, 95, 0] from Operation: 76-76=0 Current State: 95:[29, 95, 0], Operations: ['76-76=0'] Exploring Operation: 29*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 29*0=0 Current State: 95:[95, 0], Operations: ['76-76=0', '29*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 7, 18, 25 ]
15
[ "88-18=70", "70/7=10", "25-10=15" ]
Current State: 15:[88, 7, 18, 25], Operations: [] Exploring Operation: 88-18=70, Resulting Numbers: [7, 25, 70] Generated Node #2: [7, 25, 70] from Operation: 88-18=70 Current State: 15:[7, 25, 70], Operations: ['88-18=70'] Exploring Operation: 70/7=10, Resulting Numbers: [25, 10] Generated Node #3: [25, 10] from Operation: 70/7=10 Current State: 15:[25, 10], Operations: ['88-18=70', '70/7=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 86, 3, 58 ]
54
[ "23+86=109", "58-3=55", "109-55=54" ]
Current State: 54:[23, 86, 3, 58], Operations: [] Exploring Operation: 23+86=109, Resulting Numbers: [3, 58, 109] Generated Node #2: [3, 58, 109] from Operation: 23+86=109 Current State: 54:[3, 58, 109], Operations: ['23+86=109'] Exploring Operation: 58-3=55, Resulting Numbers: [109, 55] Generated Node #3: [109, 55] from Operation: 58-3=55 Current State: 54:[109, 55], Operations: ['23+86=109', '58-3=55'] Exploring Operation: 109-55=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 69, 24, 96 ]
50
[ "69-23=46", "96/24=4", "46+4=50" ]
Current State: 50:[23, 69, 24, 96], Operations: [] Exploring Operation: 69-23=46, Resulting Numbers: [24, 96, 46] Generated Node #2: [24, 96, 46] from Operation: 69-23=46 Current State: 50:[24, 96, 46], Operations: ['69-23=46'] Exploring Operation: 96/24=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 96/24=4 Current State: 50:[46, 4], Operations: ['69-23=46', '96/24=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 22, 6, 80 ]
43
[ "22-6=16", "80/16=5", "48-5=43" ]
Current State: 43:[48, 22, 6, 80], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [48, 80, 16] Generated Node #2: [48, 80, 16] from Operation: 22-6=16 Current State: 43:[48, 80, 16], Operations: ['22-6=16'] Exploring Operation: 80/16=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 80/16=5 Current State: 43:[48, 5], Operations: ['22-6=16', '80/16=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 8, 5, 39, 50 ]
93
[ "50-39=11", "8*11=88", "5+88=93" ]
Current State: 93:[8, 5, 39, 50], Operations: [] Exploring Operation: 50-39=11, Resulting Numbers: [8, 5, 11] Generated Node #2: [8, 5, 11] from Operation: 50-39=11 Current State: 93:[8, 5, 11], Operations: ['50-39=11'] Exploring Operation: 8*11=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 8*11=88 Current State: 93:[5, 88], Operations: ['50-39=11', '8*11=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 87, 88, 80, 7 ]
63
[ "88+80=168", "168/7=24", "87-24=63" ]
Current State: 63:[87, 88, 80, 7], Operations: [] Exploring Operation: 88+80=168, Resulting Numbers: [87, 7, 168] Generated Node #2: [87, 7, 168] from Operation: 88+80=168 Current State: 63:[87, 7, 168], Operations: ['88+80=168'] Exploring Operation: 168/7=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 168/7=24 Current State: 63:[87, 24], Operations: ['88+80=168', '168/7=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 23, 65, 20, 57 ]
79
[ "65-23=42", "57-20=37", "42+37=79" ]
Current State: 79:[23, 65, 20, 57], Operations: [] Exploring Operation: 65-23=42, Resulting Numbers: [20, 57, 42] Generated Node #2: [20, 57, 42] from Operation: 65-23=42 Current State: 79:[20, 57, 42], Operations: ['65-23=42'] Exploring Operation: 57-20=37, Resulting Numbers: [42, 37] Generated Node #3: [42, 37] from Operation: 57-20=37 Current State: 79:[42, 37], Operations: ['65-23=42', '57-20=37'] Exploring Operation: 42+37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 44, 96, 21 ]
49
[ "96-21=75", "75/15=5", "44+5=49" ]
Current State: 49:[15, 44, 96, 21], Operations: [] Exploring Operation: 96-21=75, Resulting Numbers: [15, 44, 75] Generated Node #2: [15, 44, 75] from Operation: 96-21=75 Current State: 49:[15, 44, 75], Operations: ['96-21=75'] Exploring Operation: 75/15=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 75/15=5 Current State: 49:[44, 5], Operations: ['96-21=75', '75/15=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 57, 28, 21, 95 ]
31
[ "57+28=85", "21+95=116", "116-85=31" ]
Current State: 31:[57, 28, 21, 95], Operations: [] Exploring Operation: 57+28=85, Resulting Numbers: [21, 95, 85] Generated Node #2: [21, 95, 85] from Operation: 57+28=85 Current State: 31:[21, 95, 85], Operations: ['57+28=85'] Exploring Operation: 21+95=116, Resulting Numbers: [85, 116] Generated Node #3: [85, 116] from Operation: 21+95=116 Current State: 31:[85, 116], Operations: ['57+28=85', '21+95=116'] Exploring Operation: 116-85=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 50, 33, 20 ]
63
[ "4*20=80", "50-33=17", "80-17=63" ]
Current State: 63:[4, 50, 33, 20], Operations: [] Exploring Operation: 4*20=80, Resulting Numbers: [50, 33, 80] Generated Node #2: [50, 33, 80] from Operation: 4*20=80 Current State: 63:[50, 33, 80], Operations: ['4*20=80'] Exploring Operation: 50-33=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 50-33=17 Current State: 63:[80, 17], Operations: ['4*20=80', '50-33=17'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 38, 23, 13, 2 ]
11
[ "38-23=15", "13*2=26", "26-15=11" ]
Current State: 11:[38, 23, 13, 2], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [13, 2, 15] Generated Node #2: [13, 2, 15] from Operation: 38-23=15 Current State: 11:[13, 2, 15], Operations: ['38-23=15'] Exploring Operation: 13*2=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 13*2=26 Current State: 11:[15, 26], Operations: ['38-23=15', '13*2=26'] Exploring Operation: 26-15=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 19, 35, 28 ]
66
[ "54+19=73", "35-28=7", "73-7=66" ]
Current State: 66:[54, 19, 35, 28], Operations: [] Exploring Operation: 54+19=73, Resulting Numbers: [35, 28, 73] Generated Node #2: [35, 28, 73] from Operation: 54+19=73 Current State: 66:[35, 28, 73], Operations: ['54+19=73'] Exploring Operation: 35-28=7, Resulting Numbers: [73, 7] Generated Node #3: [73, 7] from Operation: 35-28=7 Current State: 66:[73, 7], Operations: ['54+19=73', '35-28=7'] Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 93, 58, 2, 33 ]
89
[ "93-33=60", "58/2=29", "60+29=89" ]
Current State: 89:[93, 58, 2, 33], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [58, 2, 60] Generated Node #2: [58, 2, 60] from Operation: 93-33=60 Current State: 89:[58, 2, 60], Operations: ['93-33=60'] Exploring Operation: 58/2=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 58/2=29 Current State: 89:[60, 29], Operations: ['93-33=60', '58/2=29'] Exploring Operation: 60+29=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 21, 19, 90, 46 ]
22
[ "21-19=2", "90-46=44", "44/2=22" ]
Current State: 22:[21, 19, 90, 46], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [90, 46, 2] Generated Node #2: [90, 46, 2] from Operation: 21-19=2 Current State: 22:[90, 46, 2], Operations: ['21-19=2'] Exploring Operation: 90-46=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 90-46=44 Current State: 22:[2, 44], Operations: ['21-19=2', '90-46=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 58, 55, 88 ]
34
[ "58/58=1", "88-55=33", "1+33=34" ]
Current State: 34:[58, 58, 55, 88], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [55, 88, 1] Generated Node #2: [55, 88, 1] from Operation: 58/58=1 Current State: 34:[55, 88, 1], Operations: ['58/58=1'] Exploring Operation: 88-55=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 88-55=33 Current State: 34:[1, 33], Operations: ['58/58=1', '88-55=33'] Exploring Operation: 1+33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 21, 19, 35 ]
24
[ "21/3=7", "35/7=5", "19+5=24" ]
Current State: 24:[3, 21, 19, 35], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [19, 35, 7] Generated Node #2: [19, 35, 7] from Operation: 21/3=7 Current State: 24:[19, 35, 7], Operations: ['21/3=7'] Exploring Operation: 35/7=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 35/7=5 Current State: 24:[19, 5], Operations: ['21/3=7', '35/7=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 24, 31, 56 ]
35
[ "93/31=3", "56-24=32", "3+32=35" ]
Current State: 35:[93, 24, 31, 56], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [24, 56, 3] Generated Node #2: [24, 56, 3] from Operation: 93/31=3 Current State: 35:[24, 56, 3], Operations: ['93/31=3'] Exploring Operation: 56-24=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 56-24=32 Current State: 35:[3, 32], Operations: ['93/31=3', '56-24=32'] Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 99, 20, 6, 33 ]
29
[ "99/33=3", "20+6=26", "3+26=29" ]
Current State: 29:[99, 20, 6, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [20, 6, 3] Generated Node #2: [20, 6, 3] from Operation: 99/33=3 Current State: 29:[20, 6, 3], Operations: ['99/33=3'] Exploring Operation: 20+6=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 20+6=26 Current State: 29:[3, 26], Operations: ['99/33=3', '20+6=26'] Exploring Operation: 3+26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 29, 25, 75, 61 ]
35
[ "61-29=32", "75/25=3", "32+3=35" ]
Current State: 35:[29, 25, 75, 61], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [25, 75, 32] Generated Node #2: [25, 75, 32] from Operation: 61-29=32 Current State: 35:[25, 75, 32], Operations: ['61-29=32'] Exploring Operation: 75/25=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 75/25=3 Current State: 35:[32, 3], Operations: ['61-29=32', '75/25=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 29, 31, 39 ]
50
[ "29+29=58", "39-31=8", "58-8=50" ]
Current State: 50:[29, 29, 31, 39], Operations: [] Exploring Operation: 29+29=58, Resulting Numbers: [31, 39, 58] Generated Node #2: [31, 39, 58] from Operation: 29+29=58 Current State: 50:[31, 39, 58], Operations: ['29+29=58'] Exploring Operation: 39-31=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 39-31=8 Current State: 50:[58, 8], Operations: ['29+29=58', '39-31=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 63, 79, 14, 35 ]
33
[ "79-63=16", "14+35=49", "49-16=33" ]
Current State: 33:[63, 79, 14, 35], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [14, 35, 16] Generated Node #2: [14, 35, 16] from Operation: 79-63=16 Current State: 33:[14, 35, 16], Operations: ['79-63=16'] Exploring Operation: 14+35=49, Resulting Numbers: [16, 49] Generated Node #3: [16, 49] from Operation: 14+35=49 Current State: 33:[16, 49], Operations: ['79-63=16', '14+35=49'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 59, 81, 65 ]
82
[ "6+59=65", "65/65=1", "81+1=82" ]
Current State: 82:[6, 59, 81, 65], Operations: [] Exploring Operation: 6+59=65, Resulting Numbers: [81, 65, 65] Generated Node #2: [81, 65, 65] from Operation: 6+59=65 Current State: 82:[81, 65, 65], Operations: ['6+59=65'] Exploring Operation: 65/65=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 65/65=1 Current State: 82:[81, 1], Operations: ['6+59=65', '65/65=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 29, 29, 80 ]
85
[ "4+80=84", "29/29=1", "84+1=85" ]
Current State: 85:[4, 29, 29, 80], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [29, 29, 84] Generated Node #2: [29, 29, 84] from Operation: 4+80=84 Current State: 85:[29, 29, 84], Operations: ['4+80=84'] Exploring Operation: 29/29=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 29/29=1 Current State: 85:[84, 1], Operations: ['4+80=84', '29/29=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 78, 38, 34 ]
74
[ "78-8=70", "38-34=4", "70+4=74" ]
Current State: 74:[8, 78, 38, 34], Operations: [] Exploring Operation: 78-8=70, Resulting Numbers: [38, 34, 70] Generated Node #2: [38, 34, 70] from Operation: 78-8=70 Current State: 74:[38, 34, 70], Operations: ['78-8=70'] Exploring Operation: 38-34=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 38-34=4 Current State: 74:[70, 4], Operations: ['78-8=70', '38-34=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 2, 61, 75 ]
57
[ "61+75=136", "136/2=68", "68-11=57" ]
Current State: 57:[11, 2, 61, 75], Operations: [] Exploring Operation: 61+75=136, Resulting Numbers: [11, 2, 136] Generated Node #2: [11, 2, 136] from Operation: 61+75=136 Current State: 57:[11, 2, 136], Operations: ['61+75=136'] Exploring Operation: 136/2=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 136/2=68 Current State: 57:[11, 68], Operations: ['61+75=136', '136/2=68'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 90, 13, 22 ]
50
[ "90/6=15", "13+22=35", "15+35=50" ]
Current State: 50:[6, 90, 13, 22], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [13, 22, 15] Generated Node #2: [13, 22, 15] from Operation: 90/6=15 Current State: 50:[13, 22, 15], Operations: ['90/6=15'] Exploring Operation: 13+22=35, Resulting Numbers: [15, 35] Generated Node #3: [15, 35] from Operation: 13+22=35 Current State: 50:[15, 35], Operations: ['90/6=15', '13+22=35'] Exploring Operation: 15+35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 59, 16, 32 ]
96
[ "39+59=98", "32/16=2", "98-2=96" ]
Current State: 96:[39, 59, 16, 32], Operations: [] Exploring Operation: 39+59=98, Resulting Numbers: [16, 32, 98] Generated Node #2: [16, 32, 98] from Operation: 39+59=98 Current State: 96:[16, 32, 98], Operations: ['39+59=98'] Exploring Operation: 32/16=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 32/16=2 Current State: 96:[98, 2], Operations: ['39+59=98', '32/16=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 72, 39, 18, 78 ]
42
[ "78-72=6", "18/6=3", "39+3=42" ]
Current State: 42:[72, 39, 18, 78], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [39, 18, 6] Generated Node #2: [39, 18, 6] from Operation: 78-72=6 Current State: 42:[39, 18, 6], Operations: ['78-72=6'] Exploring Operation: 18/6=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 18/6=3 Current State: 42:[39, 3], Operations: ['78-72=6', '18/6=3'] Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 15, 96, 76, 75 ]
82
[ "96-15=81", "76-75=1", "81+1=82" ]
Current State: 82:[15, 96, 76, 75], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [76, 75, 81] Generated Node #2: [76, 75, 81] from Operation: 96-15=81 Current State: 82:[76, 75, 81], Operations: ['96-15=81'] Exploring Operation: 76-75=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 76-75=1 Current State: 82:[81, 1], Operations: ['96-15=81', '76-75=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 80, 88, 20, 73 ]
61
[ "88-80=8", "73-20=53", "8+53=61" ]
Current State: 61:[80, 88, 20, 73], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [20, 73, 8] Generated Node #2: [20, 73, 8] from Operation: 88-80=8 Current State: 61:[20, 73, 8], Operations: ['88-80=8'] Exploring Operation: 73-20=53, Resulting Numbers: [8, 53] Generated Node #3: [8, 53] from Operation: 73-20=53 Current State: 61:[8, 53], Operations: ['88-80=8', '73-20=53'] Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 32, 35, 9, 60 ]
54
[ "35-32=3", "60-9=51", "3+51=54" ]
Current State: 54:[32, 35, 9, 60], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [9, 60, 3] Generated Node #2: [9, 60, 3] from Operation: 35-32=3 Current State: 54:[9, 60, 3], Operations: ['35-32=3'] Exploring Operation: 60-9=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 60-9=51 Current State: 54:[3, 51], Operations: ['35-32=3', '60-9=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 63, 10, 74 ]
39
[ "63-38=25", "74-10=64", "64-25=39" ]
Current State: 39:[38, 63, 10, 74], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 74, 25] Generated Node #2: [10, 74, 25] from Operation: 63-38=25 Current State: 39:[10, 74, 25], Operations: ['63-38=25'] Exploring Operation: 74-10=64, Resulting Numbers: [25, 64] Generated Node #3: [25, 64] from Operation: 74-10=64 Current State: 39:[25, 64], Operations: ['63-38=25', '74-10=64'] Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 99, 43, 32, 33 ]
33
[ "99/33=3", "43-32=11", "3*11=33" ]
Current State: 33:[99, 43, 32, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [43, 32, 3] Generated Node #2: [43, 32, 3] from Operation: 99/33=3 Current State: 33:[43, 32, 3], Operations: ['99/33=3'] Exploring Operation: 43-32=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 43-32=11 Current State: 33:[3, 11], Operations: ['99/33=3', '43-32=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 57, 5, 85, 71 ]
31
[ "71-57=14", "85/5=17", "14+17=31" ]
Current State: 31:[57, 5, 85, 71], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [5, 85, 14] Generated Node #2: [5, 85, 14] from Operation: 71-57=14 Current State: 31:[5, 85, 14], Operations: ['71-57=14'] Exploring Operation: 85/5=17, Resulting Numbers: [14, 17] Generated Node #3: [14, 17] from Operation: 85/5=17 Current State: 31:[14, 17], Operations: ['71-57=14', '85/5=17'] Exploring Operation: 14+17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 35, 3, 13 ]
64
[ "54-13=41", "35*3=105", "105-41=64" ]
Current State: 64:[54, 35, 3, 13], Operations: [] Exploring Operation: 54-13=41, Resulting Numbers: [35, 3, 41] Generated Node #2: [35, 3, 41] from Operation: 54-13=41 Current State: 64:[35, 3, 41], Operations: ['54-13=41'] Exploring Operation: 35*3=105, Resulting Numbers: [41, 105] Generated Node #3: [41, 105] from Operation: 35*3=105 Current State: 64:[41, 105], Operations: ['54-13=41', '35*3=105'] Exploring Operation: 105-41=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 42, 7, 12, 80 ]
38
[ "42+80=122", "7*12=84", "122-84=38" ]
Current State: 38:[42, 7, 12, 80], Operations: [] Exploring Operation: 42+80=122, Resulting Numbers: [7, 12, 122] Generated Node #2: [7, 12, 122] from Operation: 42+80=122 Current State: 38:[7, 12, 122], Operations: ['42+80=122'] Exploring Operation: 7*12=84, Resulting Numbers: [122, 84] Generated Node #3: [122, 84] from Operation: 7*12=84 Current State: 38:[122, 84], Operations: ['42+80=122', '7*12=84'] Exploring Operation: 122-84=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 29, 20, 50, 71 ]
22
[ "29+71=100", "100/50=2", "20+2=22" ]
Current State: 22:[29, 20, 50, 71], Operations: [] Exploring Operation: 29+71=100, Resulting Numbers: [20, 50, 100] Generated Node #2: [20, 50, 100] from Operation: 29+71=100 Current State: 22:[20, 50, 100], Operations: ['29+71=100'] Exploring Operation: 100/50=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 100/50=2 Current State: 22:[20, 2], Operations: ['29+71=100', '100/50=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 98, 28, 32, 32 ]
28
[ "32-32=0", "98*0=0", "28+0=28" ]
Current State: 28:[98, 28, 32, 32], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [98, 28, 0] Generated Node #2: [98, 28, 0] from Operation: 32-32=0 Current State: 28:[98, 28, 0], Operations: ['32-32=0'] Exploring Operation: 98*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 98*0=0 Current State: 28:[28, 0], Operations: ['32-32=0', '98*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 38, 24, 57, 15 ]
51
[ "24*57=1368", "1368/38=36", "15+36=51" ]
Current State: 51:[38, 24, 57, 15], Operations: [] Exploring Operation: 24*57=1368, Resulting Numbers: [38, 15, 1368] Generated Node #2: [38, 15, 1368] from Operation: 24*57=1368 Current State: 51:[38, 15, 1368], Operations: ['24*57=1368'] Exploring Operation: 1368/38=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 1368/38=36 Current State: 51:[15, 36], Operations: ['24*57=1368', '1368/38=36'] Exploring Operation: 15+36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 65, 9, 97, 13 ]
83
[ "65/13=5", "97-9=88", "88-5=83" ]
Current State: 83:[65, 9, 97, 13], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [9, 97, 5] Generated Node #2: [9, 97, 5] from Operation: 65/13=5 Current State: 83:[9, 97, 5], Operations: ['65/13=5'] Exploring Operation: 97-9=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 97-9=88 Current State: 83:[5, 88], Operations: ['65/13=5', '97-9=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 63, 2, 53 ]
19
[ "7+63=70", "53-2=51", "70-51=19" ]
Current State: 19:[7, 63, 2, 53], Operations: [] Exploring Operation: 7+63=70, Resulting Numbers: [2, 53, 70] Generated Node #2: [2, 53, 70] from Operation: 7+63=70 Current State: 19:[2, 53, 70], Operations: ['7+63=70'] Exploring Operation: 53-2=51, Resulting Numbers: [70, 51] Generated Node #3: [70, 51] from Operation: 53-2=51 Current State: 19:[70, 51], Operations: ['7+63=70', '53-2=51'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 83, 34, 74 ]
44
[ "83-19=64", "34+74=108", "108-64=44" ]
Current State: 44:[19, 83, 34, 74], Operations: [] Exploring Operation: 83-19=64, Resulting Numbers: [34, 74, 64] Generated Node #2: [34, 74, 64] from Operation: 83-19=64 Current State: 44:[34, 74, 64], Operations: ['83-19=64'] Exploring Operation: 34+74=108, Resulting Numbers: [64, 108] Generated Node #3: [64, 108] from Operation: 34+74=108 Current State: 44:[64, 108], Operations: ['83-19=64', '34+74=108'] Exploring Operation: 108-64=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 77, 63, 80, 15 ]
18
[ "80-77=3", "15*3=45", "63-45=18" ]
Current State: 18:[77, 63, 80, 15], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [63, 15, 3] Generated Node #2: [63, 15, 3] from Operation: 80-77=3 Current State: 18:[63, 15, 3], Operations: ['80-77=3'] Exploring Operation: 15*3=45, Resulting Numbers: [63, 45] Generated Node #3: [63, 45] from Operation: 15*3=45 Current State: 18:[63, 45], Operations: ['80-77=3', '15*3=45'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 73, 73, 42 ]
42
[ "73-73=0", "12*0=0", "42+0=42" ]
Current State: 42:[12, 73, 73, 42], Operations: [] Exploring Operation: 73-73=0, Resulting Numbers: [12, 42, 0] Generated Node #2: [12, 42, 0] from Operation: 73-73=0 Current State: 42:[12, 42, 0], Operations: ['73-73=0'] Exploring Operation: 12*0=0, Resulting Numbers: [42, 0] Generated Node #3: [42, 0] from Operation: 12*0=0 Current State: 42:[42, 0], Operations: ['73-73=0', '12*0=0'] Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 14, 80, 53 ]
48
[ "71+14=85", "80+53=133", "133-85=48" ]
Current State: 48:[71, 14, 80, 53], Operations: [] Exploring Operation: 71+14=85, Resulting Numbers: [80, 53, 85] Generated Node #2: [80, 53, 85] from Operation: 71+14=85 Current State: 48:[80, 53, 85], Operations: ['71+14=85'] Exploring Operation: 80+53=133, Resulting Numbers: [85, 133] Generated Node #3: [85, 133] from Operation: 80+53=133 Current State: 48:[85, 133], Operations: ['71+14=85', '80+53=133'] Exploring Operation: 133-85=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 53, 96, 58 ]
84
[ "58-53=5", "36*5=180", "180-96=84" ]
Current State: 84:[36, 53, 96, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [36, 96, 5] Generated Node #2: [36, 96, 5] from Operation: 58-53=5 Current State: 84:[36, 96, 5], Operations: ['58-53=5'] Exploring Operation: 36*5=180, Resulting Numbers: [96, 180] Generated Node #3: [96, 180] from Operation: 36*5=180 Current State: 84:[96, 180], Operations: ['58-53=5', '36*5=180'] Exploring Operation: 180-96=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 97, 68, 1 ]
50
[ "22+97=119", "68+1=69", "119-69=50" ]
Current State: 50:[22, 97, 68, 1], Operations: [] Exploring Operation: 22+97=119, Resulting Numbers: [68, 1, 119] Generated Node #2: [68, 1, 119] from Operation: 22+97=119 Current State: 50:[68, 1, 119], Operations: ['22+97=119'] Exploring Operation: 68+1=69, Resulting Numbers: [119, 69] Generated Node #3: [119, 69] from Operation: 68+1=69 Current State: 50:[119, 69], Operations: ['22+97=119', '68+1=69'] Exploring Operation: 119-69=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4