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
[ 24, 41, 70, 26 ]
76
[ "26-24=2", "70/2=35", "41+35=76" ]
Current State: 76:[24, 41, 70, 26], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [41, 70, 2] Generated Node #2: [41, 70, 2] from Operation: 26-24=2 Current State: 76:[41, 70, 2], Operations: ['26-24=2'] Exploring Operation: 70/2=35, Resulting Numbers: [41, 35] Generated Node #3: [41, 35] from Operation: 70/2=35 Current State: 76:[41, 35], Operations: ['26-24=2', '70/2=35'] Exploring Operation: 41+35=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 37, 59, 97 ]
57
[ "97-37=60", "60/30=2", "59-2=57" ]
Current State: 57:[30, 37, 59, 97], Operations: [] Exploring Operation: 97-37=60, Resulting Numbers: [30, 59, 60] Generated Node #2: [30, 59, 60] from Operation: 97-37=60 Current State: 57:[30, 59, 60], Operations: ['97-37=60'] Exploring Operation: 60/30=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 60/30=2 Current State: 57:[59, 2], Operations: ['97-37=60', '60/30=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 9, 24, 58 ]
60
[ "3+9=12", "24/12=2", "58+2=60" ]
Current State: 60:[3, 9, 24, 58], Operations: [] Exploring Operation: 3+9=12, Resulting Numbers: [24, 58, 12] Generated Node #2: [24, 58, 12] from Operation: 3+9=12 Current State: 60:[24, 58, 12], Operations: ['3+9=12'] Exploring Operation: 24/12=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 24/12=2 Current State: 60:[58, 2], Operations: ['3+9=12', '24/12=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 91, 15, 46 ]
46
[ "49-46=3", "15*3=45", "91-45=46" ]
Current State: 46:[49, 91, 15, 46], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [91, 15, 3] Generated Node #2: [91, 15, 3] from Operation: 49-46=3 Current State: 46:[91, 15, 3], Operations: ['49-46=3'] Exploring Operation: 15*3=45, Resulting Numbers: [91, 45] Generated Node #3: [91, 45] from Operation: 15*3=45 Current State: 46:[91, 45], Operations: ['49-46=3', '15*3=45'] Exploring Operation: 91-45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 77, 11, 5, 99 ]
52
[ "5*99=495", "77+495=572", "572/11=52" ]
Current State: 52:[77, 11, 5, 99], Operations: [] Exploring Operation: 5*99=495, Resulting Numbers: [77, 11, 495] Generated Node #2: [77, 11, 495] from Operation: 5*99=495 Current State: 52:[77, 11, 495], Operations: ['5*99=495'] Exploring Operation: 77+495=572, Resulting Numbers: [11, 572] Generated Node #3: [11, 572] from Operation: 77+495=572 Current State: 52:[11, 572], Operations: ['5*99=495', '77+495=572'] Exploring Operation: 572/11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 18, 8, 3 ]
99
[ "18/2=9", "8+3=11", "9*11=99" ]
Current State: 99:[2, 18, 8, 3], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [8, 3, 9] Generated Node #2: [8, 3, 9] from Operation: 18/2=9 Current State: 99:[8, 3, 9], Operations: ['18/2=9'] Exploring Operation: 8+3=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 8+3=11 Current State: 99:[9, 11], Operations: ['18/2=9', '8+3=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 86, 90, 88, 64 ]
72
[ "90-86=4", "64/4=16", "88-16=72" ]
Current State: 72:[86, 90, 88, 64], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [88, 64, 4] Generated Node #2: [88, 64, 4] from Operation: 90-86=4 Current State: 72:[88, 64, 4], Operations: ['90-86=4'] Exploring Operation: 64/4=16, Resulting Numbers: [88, 16] Generated Node #3: [88, 16] from Operation: 64/4=16 Current State: 72:[88, 16], Operations: ['90-86=4', '64/4=16'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 14, 88, 76 ]
82
[ "14+76=90", "90/15=6", "88-6=82" ]
Current State: 82:[15, 14, 88, 76], Operations: [] Exploring Operation: 14+76=90, Resulting Numbers: [15, 88, 90] Generated Node #2: [15, 88, 90] from Operation: 14+76=90 Current State: 82:[15, 88, 90], Operations: ['14+76=90'] Exploring Operation: 90/15=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 90/15=6 Current State: 82:[88, 6], Operations: ['14+76=90', '90/15=6'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 79, 64, 73, 75 ]
89
[ "79-75=4", "64/4=16", "73+16=89" ]
Current State: 89:[79, 64, 73, 75], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [64, 73, 4] Generated Node #2: [64, 73, 4] from Operation: 79-75=4 Current State: 89:[64, 73, 4], Operations: ['79-75=4'] Exploring Operation: 64/4=16, Resulting Numbers: [73, 16] Generated Node #3: [73, 16] from Operation: 64/4=16 Current State: 89:[73, 16], Operations: ['79-75=4', '64/4=16'] Exploring Operation: 73+16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 74, 7, 66 ]
18
[ "74+66=140", "140/7=20", "20-2=18" ]
Current State: 18:[2, 74, 7, 66], Operations: [] Exploring Operation: 74+66=140, Resulting Numbers: [2, 7, 140] Generated Node #2: [2, 7, 140] from Operation: 74+66=140 Current State: 18:[2, 7, 140], Operations: ['74+66=140'] Exploring Operation: 140/7=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 140/7=20 Current State: 18:[2, 20], Operations: ['74+66=140', '140/7=20'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 30, 9, 26 ]
68
[ "21+30=51", "26-9=17", "51+17=68" ]
Current State: 68:[21, 30, 9, 26], Operations: [] Exploring Operation: 21+30=51, Resulting Numbers: [9, 26, 51] Generated Node #2: [9, 26, 51] from Operation: 21+30=51 Current State: 68:[9, 26, 51], Operations: ['21+30=51'] Exploring Operation: 26-9=17, Resulting Numbers: [51, 17] Generated Node #3: [51, 17] from Operation: 26-9=17 Current State: 68:[51, 17], Operations: ['21+30=51', '26-9=17'] Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 28, 28, 9, 76 ]
100
[ "28*28=784", "9*76=684", "784-684=100" ]
Current State: 100:[28, 28, 9, 76], Operations: [] Exploring Operation: 28*28=784, Resulting Numbers: [9, 76, 784] Generated Node #2: [9, 76, 784] from Operation: 28*28=784 Current State: 100:[9, 76, 784], Operations: ['28*28=784'] Exploring Operation: 9*76=684, Resulting Numbers: [784, 684] Generated Node #3: [784, 684] from Operation: 9*76=684 Current State: 100:[784, 684], Operations: ['28*28=784', '9*76=684'] Exploring Operation: 784-684=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 85, 87, 16, 45 ]
88
[ "45-16=29", "87/29=3", "85+3=88" ]
Current State: 88:[85, 87, 16, 45], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [85, 87, 29] Generated Node #2: [85, 87, 29] from Operation: 45-16=29 Current State: 88:[85, 87, 29], Operations: ['45-16=29'] Exploring Operation: 87/29=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 87/29=3 Current State: 88:[85, 3], Operations: ['45-16=29', '87/29=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 34, 48, 15 ]
43
[ "48/2=24", "34-15=19", "24+19=43" ]
Current State: 43:[2, 34, 48, 15], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [34, 15, 24] Generated Node #2: [34, 15, 24] from Operation: 48/2=24 Current State: 43:[34, 15, 24], Operations: ['48/2=24'] Exploring Operation: 34-15=19, Resulting Numbers: [24, 19] Generated Node #3: [24, 19] from Operation: 34-15=19 Current State: 43:[24, 19], Operations: ['48/2=24', '34-15=19'] Exploring Operation: 24+19=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 77, 54, 38 ]
98
[ "83-77=6", "54+38=92", "6+92=98" ]
Current State: 98:[83, 77, 54, 38], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [54, 38, 6] Generated Node #2: [54, 38, 6] from Operation: 83-77=6 Current State: 98:[54, 38, 6], Operations: ['83-77=6'] Exploring Operation: 54+38=92, Resulting Numbers: [6, 92] Generated Node #3: [6, 92] from Operation: 54+38=92 Current State: 98:[6, 92], Operations: ['83-77=6', '54+38=92'] Exploring Operation: 6+92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 13, 15, 33 ]
98
[ "93-13=80", "33-15=18", "80+18=98" ]
Current State: 98:[93, 13, 15, 33], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [15, 33, 80] Generated Node #2: [15, 33, 80] from Operation: 93-13=80 Current State: 98:[15, 33, 80], Operations: ['93-13=80'] Exploring Operation: 33-15=18, Resulting Numbers: [80, 18] Generated Node #3: [80, 18] from Operation: 33-15=18 Current State: 98:[80, 18], Operations: ['93-13=80', '33-15=18'] Exploring Operation: 80+18=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 9, 81, 25 ]
14
[ "70+81=151", "151-25=126", "126/9=14" ]
Current State: 14:[70, 9, 81, 25], Operations: [] Exploring Operation: 70+81=151, Resulting Numbers: [9, 25, 151] Generated Node #2: [9, 25, 151] from Operation: 70+81=151 Current State: 14:[9, 25, 151], Operations: ['70+81=151'] Exploring Operation: 151-25=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 151-25=126 Current State: 14:[9, 126], Operations: ['70+81=151', '151-25=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 82, 80, 28, 5 ]
58
[ "82+28=110", "110/5=22", "80-22=58" ]
Current State: 58:[82, 80, 28, 5], Operations: [] Exploring Operation: 82+28=110, Resulting Numbers: [80, 5, 110] Generated Node #2: [80, 5, 110] from Operation: 82+28=110 Current State: 58:[80, 5, 110], Operations: ['82+28=110'] Exploring Operation: 110/5=22, Resulting Numbers: [80, 22] Generated Node #3: [80, 22] from Operation: 110/5=22 Current State: 58:[80, 22], Operations: ['82+28=110', '110/5=22'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 76, 15, 52 ]
12
[ "76-52=24", "24/8=3", "15-3=12" ]
Current State: 12:[8, 76, 15, 52], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [8, 15, 24] Generated Node #2: [8, 15, 24] from Operation: 76-52=24 Current State: 12:[8, 15, 24], Operations: ['76-52=24'] Exploring Operation: 24/8=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 24/8=3 Current State: 12:[15, 3], Operations: ['76-52=24', '24/8=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 75, 37, 39, 81 ]
78
[ "75+81=156", "39-37=2", "156/2=78" ]
Current State: 78:[75, 37, 39, 81], Operations: [] Exploring Operation: 75+81=156, Resulting Numbers: [37, 39, 156] Generated Node #2: [37, 39, 156] from Operation: 75+81=156 Current State: 78:[37, 39, 156], Operations: ['75+81=156'] Exploring Operation: 39-37=2, Resulting Numbers: [156, 2] Generated Node #3: [156, 2] from Operation: 39-37=2 Current State: 78:[156, 2], Operations: ['75+81=156', '39-37=2'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 26, 31, 3 ]
32
[ "26+31=57", "57/3=19", "51-19=32" ]
Current State: 32:[51, 26, 31, 3], Operations: [] Exploring Operation: 26+31=57, Resulting Numbers: [51, 3, 57] Generated Node #2: [51, 3, 57] from Operation: 26+31=57 Current State: 32:[51, 3, 57], Operations: ['26+31=57'] Exploring Operation: 57/3=19, Resulting Numbers: [51, 19] Generated Node #3: [51, 19] from Operation: 57/3=19 Current State: 32:[51, 19], Operations: ['26+31=57', '57/3=19'] Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 69, 69, 18 ]
37
[ "54-18=36", "69/69=1", "36+1=37" ]
Current State: 37:[54, 69, 69, 18], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [69, 69, 36] Generated Node #2: [69, 69, 36] from Operation: 54-18=36 Current State: 37:[69, 69, 36], Operations: ['54-18=36'] Exploring Operation: 69/69=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 69/69=1 Current State: 37:[36, 1], Operations: ['54-18=36', '69/69=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 82, 57, 73 ]
54
[ "82-73=9", "9/3=3", "57-3=54" ]
Current State: 54:[3, 82, 57, 73], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [3, 57, 9] Generated Node #2: [3, 57, 9] from Operation: 82-73=9 Current State: 54:[3, 57, 9], Operations: ['82-73=9'] Exploring Operation: 9/3=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 9/3=3 Current State: 54:[57, 3], Operations: ['82-73=9', '9/3=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 37, 93, 92 ]
98
[ "38*93=3534", "92+3534=3626", "3626/37=98" ]
Current State: 98:[38, 37, 93, 92], Operations: [] Exploring Operation: 38*93=3534, Resulting Numbers: [37, 92, 3534] Generated Node #2: [37, 92, 3534] from Operation: 38*93=3534 Current State: 98:[37, 92, 3534], Operations: ['38*93=3534'] Exploring Operation: 92+3534=3626, Resulting Numbers: [37, 3626] Generated Node #3: [37, 3626] from Operation: 92+3534=3626 Current State: 98:[37, 3626], Operations: ['38*93=3534', '92+3534=3626'] Exploring Operation: 3626/37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 76, 39, 28, 64 ]
44
[ "76+64=140", "140/28=5", "39+5=44" ]
Current State: 44:[76, 39, 28, 64], Operations: [] Exploring Operation: 76+64=140, Resulting Numbers: [39, 28, 140] Generated Node #2: [39, 28, 140] from Operation: 76+64=140 Current State: 44:[39, 28, 140], Operations: ['76+64=140'] Exploring Operation: 140/28=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 140/28=5 Current State: 44:[39, 5], Operations: ['76+64=140', '140/28=5'] Exploring Operation: 39+5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 26, 97, 99 ]
38
[ "99-97=2", "26/2=13", "25+13=38" ]
Current State: 38:[25, 26, 97, 99], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [25, 26, 2] Generated Node #2: [25, 26, 2] from Operation: 99-97=2 Current State: 38:[25, 26, 2], Operations: ['99-97=2'] Exploring Operation: 26/2=13, Resulting Numbers: [25, 13] Generated Node #3: [25, 13] from Operation: 26/2=13 Current State: 38:[25, 13], Operations: ['99-97=2', '26/2=13'] Exploring Operation: 25+13=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 23, 58, 33 ]
49
[ "51+23=74", "58-33=25", "74-25=49" ]
Current State: 49:[51, 23, 58, 33], Operations: [] Exploring Operation: 51+23=74, Resulting Numbers: [58, 33, 74] Generated Node #2: [58, 33, 74] from Operation: 51+23=74 Current State: 49:[58, 33, 74], Operations: ['51+23=74'] Exploring Operation: 58-33=25, Resulting Numbers: [74, 25] Generated Node #3: [74, 25] from Operation: 58-33=25 Current State: 49:[74, 25], Operations: ['51+23=74', '58-33=25'] Exploring Operation: 74-25=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 15, 21, 18 ]
77
[ "21-18=3", "15/3=5", "82-5=77" ]
Current State: 77:[82, 15, 21, 18], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [82, 15, 3] Generated Node #2: [82, 15, 3] from Operation: 21-18=3 Current State: 77:[82, 15, 3], Operations: ['21-18=3'] Exploring Operation: 15/3=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 15/3=5 Current State: 77:[82, 5], Operations: ['21-18=3', '15/3=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 73, 39, 56, 39 ]
16
[ "73-56=17", "39/39=1", "17-1=16" ]
Current State: 16:[73, 39, 56, 39], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [39, 39, 17] Generated Node #2: [39, 39, 17] from Operation: 73-56=17 Current State: 16:[39, 39, 17], Operations: ['73-56=17'] Exploring Operation: 39/39=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 39/39=1 Current State: 16:[17, 1], Operations: ['73-56=17', '39/39=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 42, 55, 27, 58 ]
12
[ "42+55=97", "27+58=85", "97-85=12" ]
Current State: 12:[42, 55, 27, 58], Operations: [] Exploring Operation: 42+55=97, Resulting Numbers: [27, 58, 97] Generated Node #2: [27, 58, 97] from Operation: 42+55=97 Current State: 12:[27, 58, 97], Operations: ['42+55=97'] Exploring Operation: 27+58=85, Resulting Numbers: [97, 85] Generated Node #3: [97, 85] from Operation: 27+58=85 Current State: 12:[97, 85], Operations: ['42+55=97', '27+58=85'] Exploring Operation: 97-85=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 28, 22, 12, 91 ]
93
[ "28-22=6", "12/6=2", "91+2=93" ]
Current State: 93:[28, 22, 12, 91], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [12, 91, 6] Generated Node #2: [12, 91, 6] from Operation: 28-22=6 Current State: 93:[12, 91, 6], Operations: ['28-22=6'] Exploring Operation: 12/6=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 12/6=2 Current State: 93:[91, 2], Operations: ['28-22=6', '12/6=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 32, 70, 82, 47 ]
64
[ "32*70=2240", "82-47=35", "2240/35=64" ]
Current State: 64:[32, 70, 82, 47], Operations: [] Exploring Operation: 32*70=2240, Resulting Numbers: [82, 47, 2240] Generated Node #2: [82, 47, 2240] from Operation: 32*70=2240 Current State: 64:[82, 47, 2240], Operations: ['32*70=2240'] Exploring Operation: 82-47=35, Resulting Numbers: [2240, 35] Generated Node #3: [2240, 35] from Operation: 82-47=35 Current State: 64:[2240, 35], Operations: ['32*70=2240', '82-47=35'] Exploring Operation: 2240/35=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 88, 81, 15, 65 ]
39
[ "88+81=169", "15*169=2535", "2535/65=39" ]
Current State: 39:[88, 81, 15, 65], Operations: [] Exploring Operation: 88+81=169, Resulting Numbers: [15, 65, 169] Generated Node #2: [15, 65, 169] from Operation: 88+81=169 Current State: 39:[15, 65, 169], Operations: ['88+81=169'] Exploring Operation: 15*169=2535, Resulting Numbers: [65, 2535] Generated Node #3: [65, 2535] from Operation: 15*169=2535 Current State: 39:[65, 2535], Operations: ['88+81=169', '15*169=2535'] Exploring Operation: 2535/65=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 6, 68, 48 ]
44
[ "8-6=2", "48/2=24", "68-24=44" ]
Current State: 44:[8, 6, 68, 48], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [68, 48, 2] Generated Node #2: [68, 48, 2] from Operation: 8-6=2 Current State: 44:[68, 48, 2], Operations: ['8-6=2'] Exploring Operation: 48/2=24, Resulting Numbers: [68, 24] Generated Node #3: [68, 24] from Operation: 48/2=24 Current State: 44:[68, 24], Operations: ['8-6=2', '48/2=24'] Exploring Operation: 68-24=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 80, 90, 75, 33 ]
16
[ "80*33=2640", "90+75=165", "2640/165=16" ]
Current State: 16:[80, 90, 75, 33], Operations: [] Exploring Operation: 80*33=2640, Resulting Numbers: [90, 75, 2640] Generated Node #2: [90, 75, 2640] from Operation: 80*33=2640 Current State: 16:[90, 75, 2640], Operations: ['80*33=2640'] Exploring Operation: 90+75=165, Resulting Numbers: [2640, 165] Generated Node #3: [2640, 165] from Operation: 90+75=165 Current State: 16:[2640, 165], Operations: ['80*33=2640', '90+75=165'] Exploring Operation: 2640/165=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 5, 2, 3 ]
25
[ "12-2=10", "5*3=15", "10+15=25" ]
Current State: 25:[12, 5, 2, 3], Operations: [] Exploring Operation: 12-2=10, Resulting Numbers: [5, 3, 10] Generated Node #2: [5, 3, 10] from Operation: 12-2=10 Current State: 25:[5, 3, 10], Operations: ['12-2=10'] Exploring Operation: 5*3=15, Resulting Numbers: [10, 15] Generated Node #3: [10, 15] from Operation: 5*3=15 Current State: 25:[10, 15], Operations: ['12-2=10', '5*3=15'] Exploring Operation: 10+15=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 78, 91, 18, 39 ]
15
[ "91-78=13", "39/13=3", "18-3=15" ]
Current State: 15:[78, 91, 18, 39], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [18, 39, 13] Generated Node #2: [18, 39, 13] from Operation: 91-78=13 Current State: 15:[18, 39, 13], Operations: ['91-78=13'] Exploring Operation: 39/13=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 39/13=3 Current State: 15:[18, 3], Operations: ['91-78=13', '39/13=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 71, 2, 50 ]
58
[ "39+71=110", "2+50=52", "110-52=58" ]
Current State: 58:[39, 71, 2, 50], Operations: [] Exploring Operation: 39+71=110, Resulting Numbers: [2, 50, 110] Generated Node #2: [2, 50, 110] from Operation: 39+71=110 Current State: 58:[2, 50, 110], Operations: ['39+71=110'] Exploring Operation: 2+50=52, Resulting Numbers: [110, 52] Generated Node #3: [110, 52] from Operation: 2+50=52 Current State: 58:[110, 52], Operations: ['39+71=110', '2+50=52'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 48, 51, 90, 15 ]
72
[ "51-48=3", "90-15=75", "75-3=72" ]
Current State: 72:[48, 51, 90, 15], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [90, 15, 3] Generated Node #2: [90, 15, 3] from Operation: 51-48=3 Current State: 72:[90, 15, 3], Operations: ['51-48=3'] Exploring Operation: 90-15=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 90-15=75 Current State: 72:[3, 75], Operations: ['51-48=3', '90-15=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 99, 3, 32 ]
98
[ "93/3=31", "99-32=67", "31+67=98" ]
Current State: 98:[93, 99, 3, 32], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [99, 32, 31] Generated Node #2: [99, 32, 31] from Operation: 93/3=31 Current State: 98:[99, 32, 31], Operations: ['93/3=31'] Exploring Operation: 99-32=67, Resulting Numbers: [31, 67] Generated Node #3: [31, 67] from Operation: 99-32=67 Current State: 98:[31, 67], Operations: ['93/3=31', '99-32=67'] Exploring Operation: 31+67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 60, 12, 12, 84 ]
48
[ "60-12=48", "12+84=96", "96-48=48" ]
Current State: 48:[60, 12, 12, 84], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [84, 48] Generated Node #2: [84, 48] from Operation: 60-12=48 Current State: 48:[84, 48], Operations: ['60-12=48'] Exploring Operation: 12+84=96, Resulting Numbers: [48, 96] Generated Node #3: [48, 96] from Operation: 12+84=96 Current State: 48:[48, 96], Operations: ['60-12=48', '12+84=96'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 61, 2, 27 ]
75
[ "35+61=96", "96/2=48", "27+48=75" ]
Current State: 75:[35, 61, 2, 27], Operations: [] Exploring Operation: 35+61=96, Resulting Numbers: [2, 27, 96] Generated Node #2: [2, 27, 96] from Operation: 35+61=96 Current State: 75:[2, 27, 96], Operations: ['35+61=96'] Exploring Operation: 96/2=48, Resulting Numbers: [27, 48] Generated Node #3: [27, 48] from Operation: 96/2=48 Current State: 75:[27, 48], Operations: ['35+61=96', '96/2=48'] Exploring Operation: 27+48=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 74, 87, 87 ]
52
[ "91-87=4", "87-74=13", "4*13=52" ]
Current State: 52:[91, 74, 87, 87], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [74, 4] Generated Node #2: [74, 4] from Operation: 91-87=4 Current State: 52:[74, 4], Operations: ['91-87=4'] Exploring Operation: 87-74=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 87-74=13 Current State: 52:[4, 13], Operations: ['91-87=4', '87-74=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 10, 38, 35, 29 ]
42
[ "10+38=48", "35-29=6", "48-6=42" ]
Current State: 42:[10, 38, 35, 29], Operations: [] Exploring Operation: 10+38=48, Resulting Numbers: [35, 29, 48] Generated Node #2: [35, 29, 48] from Operation: 10+38=48 Current State: 42:[35, 29, 48], Operations: ['10+38=48'] Exploring Operation: 35-29=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 35-29=6 Current State: 42:[48, 6], Operations: ['10+38=48', '35-29=6'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 88, 44, 58 ]
32
[ "88-42=46", "58-44=14", "46-14=32" ]
Current State: 32:[42, 88, 44, 58], Operations: [] Exploring Operation: 88-42=46, Resulting Numbers: [44, 58, 46] Generated Node #2: [44, 58, 46] from Operation: 88-42=46 Current State: 32:[44, 58, 46], Operations: ['88-42=46'] Exploring Operation: 58-44=14, Resulting Numbers: [46, 14] Generated Node #3: [46, 14] from Operation: 58-44=14 Current State: 32:[46, 14], Operations: ['88-42=46', '58-44=14'] Exploring Operation: 46-14=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 60, 10, 23 ]
63
[ "60-30=30", "10+23=33", "30+33=63" ]
Current State: 63:[30, 60, 10, 23], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [10, 23, 30] Generated Node #2: [10, 23, 30] from Operation: 60-30=30 Current State: 63:[10, 23, 30], Operations: ['60-30=30'] Exploring Operation: 10+23=33, Resulting Numbers: [30, 33] Generated Node #3: [30, 33] from Operation: 10+23=33 Current State: 63:[30, 33], Operations: ['60-30=30', '10+23=33'] Exploring Operation: 30+33=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 62, 31, 7, 49 ]
86
[ "62+31=93", "49/7=7", "93-7=86" ]
Current State: 86:[62, 31, 7, 49], Operations: [] Exploring Operation: 62+31=93, Resulting Numbers: [7, 49, 93] Generated Node #2: [7, 49, 93] from Operation: 62+31=93 Current State: 86:[7, 49, 93], Operations: ['62+31=93'] Exploring Operation: 49/7=7, Resulting Numbers: [93, 7] Generated Node #3: [93, 7] from Operation: 49/7=7 Current State: 86:[93, 7], Operations: ['62+31=93', '49/7=7'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 84, 84, 17 ]
41
[ "59-17=42", "84/84=1", "42-1=41" ]
Current State: 41:[59, 84, 84, 17], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [84, 84, 42] Generated Node #2: [84, 84, 42] from Operation: 59-17=42 Current State: 41:[84, 84, 42], Operations: ['59-17=42'] Exploring Operation: 84/84=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 84/84=1 Current State: 41:[42, 1], Operations: ['59-17=42', '84/84=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 80, 38, 26, 59 ]
13
[ "80+38=118", "26*59=1534", "1534/118=13" ]
Current State: 13:[80, 38, 26, 59], Operations: [] Exploring Operation: 80+38=118, Resulting Numbers: [26, 59, 118] Generated Node #2: [26, 59, 118] from Operation: 80+38=118 Current State: 13:[26, 59, 118], Operations: ['80+38=118'] Exploring Operation: 26*59=1534, Resulting Numbers: [118, 1534] Generated Node #3: [118, 1534] from Operation: 26*59=1534 Current State: 13:[118, 1534], Operations: ['80+38=118', '26*59=1534'] Exploring Operation: 1534/118=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 67, 17, 68, 35 ]
74
[ "67+35=102", "102/17=6", "68+6=74" ]
Current State: 74:[67, 17, 68, 35], Operations: [] Exploring Operation: 67+35=102, Resulting Numbers: [17, 68, 102] Generated Node #2: [17, 68, 102] from Operation: 67+35=102 Current State: 74:[17, 68, 102], Operations: ['67+35=102'] Exploring Operation: 102/17=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 102/17=6 Current State: 74:[68, 6], Operations: ['67+35=102', '102/17=6'] Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 27, 35, 26, 61 ]
27
[ "27+35=62", "61-26=35", "62-35=27" ]
Current State: 27:[27, 35, 26, 61], Operations: [] Exploring Operation: 27+35=62, Resulting Numbers: [26, 61, 62] Generated Node #2: [26, 61, 62] from Operation: 27+35=62 Current State: 27:[26, 61, 62], Operations: ['27+35=62'] Exploring Operation: 61-26=35, Resulting Numbers: [62, 35] Generated Node #3: [62, 35] from Operation: 61-26=35 Current State: 27:[62, 35], Operations: ['27+35=62', '61-26=35'] Exploring Operation: 62-35=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 19, 81, 69 ]
16
[ "81-69=12", "12/4=3", "19-3=16" ]
Current State: 16:[4, 19, 81, 69], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [4, 19, 12] Generated Node #2: [4, 19, 12] from Operation: 81-69=12 Current State: 16:[4, 19, 12], Operations: ['81-69=12'] Exploring Operation: 12/4=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 12/4=3 Current State: 16:[19, 3], Operations: ['81-69=12', '12/4=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 26, 78, 29 ]
75
[ "1*26=26", "78-29=49", "26+49=75" ]
Current State: 75:[1, 26, 78, 29], Operations: [] Exploring Operation: 1*26=26, Resulting Numbers: [78, 29, 26] Generated Node #2: [78, 29, 26] from Operation: 1*26=26 Current State: 75:[78, 29, 26], Operations: ['1*26=26'] Exploring Operation: 78-29=49, Resulting Numbers: [26, 49] Generated Node #3: [26, 49] from Operation: 78-29=49 Current State: 75:[26, 49], Operations: ['1*26=26', '78-29=49'] Exploring Operation: 26+49=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 79, 38, 70, 68 ]
21
[ "79+38=117", "70+68=138", "138-117=21" ]
Current State: 21:[79, 38, 70, 68], Operations: [] Exploring Operation: 79+38=117, Resulting Numbers: [70, 68, 117] Generated Node #2: [70, 68, 117] from Operation: 79+38=117 Current State: 21:[70, 68, 117], Operations: ['79+38=117'] Exploring Operation: 70+68=138, Resulting Numbers: [117, 138] Generated Node #3: [117, 138] from Operation: 70+68=138 Current State: 21:[117, 138], Operations: ['79+38=117', '70+68=138'] Exploring Operation: 138-117=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 59, 5, 15 ]
47
[ "59-22=37", "15-5=10", "37+10=47" ]
Current State: 47:[22, 59, 5, 15], Operations: [] Exploring Operation: 59-22=37, Resulting Numbers: [5, 15, 37] Generated Node #2: [5, 15, 37] from Operation: 59-22=37 Current State: 47:[5, 15, 37], Operations: ['59-22=37'] Exploring Operation: 15-5=10, Resulting Numbers: [37, 10] Generated Node #3: [37, 10] from Operation: 15-5=10 Current State: 47:[37, 10], Operations: ['59-22=37', '15-5=10'] Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 37, 41, 27 ]
57
[ "41-37=4", "21*4=84", "84-27=57" ]
Current State: 57:[21, 37, 41, 27], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [21, 27, 4] Generated Node #2: [21, 27, 4] from Operation: 41-37=4 Current State: 57:[21, 27, 4], Operations: ['41-37=4'] Exploring Operation: 21*4=84, Resulting Numbers: [27, 84] Generated Node #3: [27, 84] from Operation: 21*4=84 Current State: 57:[27, 84], Operations: ['41-37=4', '21*4=84'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 43, 89, 37 ]
56
[ "27+43=70", "89+37=126", "126-70=56" ]
Current State: 56:[27, 43, 89, 37], Operations: [] Exploring Operation: 27+43=70, Resulting Numbers: [89, 37, 70] Generated Node #2: [89, 37, 70] from Operation: 27+43=70 Current State: 56:[89, 37, 70], Operations: ['27+43=70'] Exploring Operation: 89+37=126, Resulting Numbers: [70, 126] Generated Node #3: [70, 126] from Operation: 89+37=126 Current State: 56:[70, 126], Operations: ['27+43=70', '89+37=126'] Exploring Operation: 126-70=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 86, 14, 71 ]
58
[ "86-85=1", "71-14=57", "1+57=58" ]
Current State: 58:[85, 86, 14, 71], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [14, 71, 1] Generated Node #2: [14, 71, 1] from Operation: 86-85=1 Current State: 58:[14, 71, 1], Operations: ['86-85=1'] Exploring Operation: 71-14=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 71-14=57 Current State: 58:[1, 57], Operations: ['86-85=1', '71-14=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 57, 73, 8, 24 ]
54
[ "57*8=456", "456/24=19", "73-19=54" ]
Current State: 54:[57, 73, 8, 24], Operations: [] Exploring Operation: 57*8=456, Resulting Numbers: [73, 24, 456] Generated Node #2: [73, 24, 456] from Operation: 57*8=456 Current State: 54:[73, 24, 456], Operations: ['57*8=456'] Exploring Operation: 456/24=19, Resulting Numbers: [73, 19] Generated Node #3: [73, 19] from Operation: 456/24=19 Current State: 54:[73, 19], Operations: ['57*8=456', '456/24=19'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 30, 94, 78 ]
88
[ "43-30=13", "78/13=6", "94-6=88" ]
Current State: 88:[43, 30, 94, 78], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [94, 78, 13] Generated Node #2: [94, 78, 13] from Operation: 43-30=13 Current State: 88:[94, 78, 13], Operations: ['43-30=13'] Exploring Operation: 78/13=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 78/13=6 Current State: 88:[94, 6], Operations: ['43-30=13', '78/13=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 54, 3, 59, 85 ]
24
[ "85-59=26", "3*26=78", "78-54=24" ]
Current State: 24:[54, 3, 59, 85], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [54, 3, 26] Generated Node #2: [54, 3, 26] from Operation: 85-59=26 Current State: 24:[54, 3, 26], Operations: ['85-59=26'] Exploring Operation: 3*26=78, Resulting Numbers: [54, 78] Generated Node #3: [54, 78] from Operation: 3*26=78 Current State: 24:[54, 78], Operations: ['85-59=26', '3*26=78'] Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 63, 93, 90, 98 ]
45
[ "98-93=5", "90/5=18", "63-18=45" ]
Current State: 45:[63, 93, 90, 98], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [63, 90, 5] Generated Node #2: [63, 90, 5] from Operation: 98-93=5 Current State: 45:[63, 90, 5], Operations: ['98-93=5'] Exploring Operation: 90/5=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 90/5=18 Current State: 45:[63, 18], Operations: ['98-93=5', '90/5=18'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 25, 8, 10, 16 ]
45
[ "16/8=2", "10*2=20", "25+20=45" ]
Current State: 45:[25, 8, 10, 16], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [25, 10, 2] Generated Node #2: [25, 10, 2] from Operation: 16/8=2 Current State: 45:[25, 10, 2], Operations: ['16/8=2'] Exploring Operation: 10*2=20, Resulting Numbers: [25, 20] Generated Node #3: [25, 20] from Operation: 10*2=20 Current State: 45:[25, 20], Operations: ['16/8=2', '10*2=20'] Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 67, 29, 76, 69 ]
72
[ "76+69=145", "145/29=5", "67+5=72" ]
Current State: 72:[67, 29, 76, 69], Operations: [] Exploring Operation: 76+69=145, Resulting Numbers: [67, 29, 145] Generated Node #2: [67, 29, 145] from Operation: 76+69=145 Current State: 72:[67, 29, 145], Operations: ['76+69=145'] Exploring Operation: 145/29=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 145/29=5 Current State: 72:[67, 5], Operations: ['76+69=145', '145/29=5'] Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 48, 9, 5 ]
35
[ "69-48=21", "9+5=14", "21+14=35" ]
Current State: 35:[69, 48, 9, 5], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [9, 5, 21] Generated Node #2: [9, 5, 21] from Operation: 69-48=21 Current State: 35:[9, 5, 21], Operations: ['69-48=21'] Exploring Operation: 9+5=14, Resulting Numbers: [21, 14] Generated Node #3: [21, 14] from Operation: 9+5=14 Current State: 35:[21, 14], Operations: ['69-48=21', '9+5=14'] Exploring Operation: 21+14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 57, 49, 75, 64 ]
67
[ "57-49=8", "64/8=8", "75-8=67" ]
Current State: 67:[57, 49, 75, 64], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [75, 64, 8] Generated Node #2: [75, 64, 8] from Operation: 57-49=8 Current State: 67:[75, 64, 8], Operations: ['57-49=8'] Exploring Operation: 64/8=8, Resulting Numbers: [75, 8] Generated Node #3: [75, 8] from Operation: 64/8=8 Current State: 67:[75, 8], Operations: ['57-49=8', '64/8=8'] Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 86, 29, 32, 3 ]
80
[ "86+29=115", "32+3=35", "115-35=80" ]
Current State: 80:[86, 29, 32, 3], Operations: [] Exploring Operation: 86+29=115, Resulting Numbers: [32, 3, 115] Generated Node #2: [32, 3, 115] from Operation: 86+29=115 Current State: 80:[32, 3, 115], Operations: ['86+29=115'] Exploring Operation: 32+3=35, Resulting Numbers: [115, 35] Generated Node #3: [115, 35] from Operation: 32+3=35 Current State: 80:[115, 35], Operations: ['86+29=115', '32+3=35'] Exploring Operation: 115-35=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 70, 91, 8, 23 ]
56
[ "70+91=161", "8*161=1288", "1288/23=56" ]
Current State: 56:[70, 91, 8, 23], Operations: [] Exploring Operation: 70+91=161, Resulting Numbers: [8, 23, 161] Generated Node #2: [8, 23, 161] from Operation: 70+91=161 Current State: 56:[8, 23, 161], Operations: ['70+91=161'] Exploring Operation: 8*161=1288, Resulting Numbers: [23, 1288] Generated Node #3: [23, 1288] from Operation: 8*161=1288 Current State: 56:[23, 1288], Operations: ['70+91=161', '8*161=1288'] Exploring Operation: 1288/23=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 41, 33, 32 ]
20
[ "41-22=19", "33-32=1", "19+1=20" ]
Current State: 20:[22, 41, 33, 32], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [33, 32, 19] Generated Node #2: [33, 32, 19] from Operation: 41-22=19 Current State: 20:[33, 32, 19], Operations: ['41-22=19'] Exploring Operation: 33-32=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 33-32=1 Current State: 20:[19, 1], Operations: ['41-22=19', '33-32=1'] Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 88, 2, 74 ]
94
[ "43+88=131", "74/2=37", "131-37=94" ]
Current State: 94:[43, 88, 2, 74], Operations: [] Exploring Operation: 43+88=131, Resulting Numbers: [2, 74, 131] Generated Node #2: [2, 74, 131] from Operation: 43+88=131 Current State: 94:[2, 74, 131], Operations: ['43+88=131'] Exploring Operation: 74/2=37, Resulting Numbers: [131, 37] Generated Node #3: [131, 37] from Operation: 74/2=37 Current State: 94:[131, 37], Operations: ['43+88=131', '74/2=37'] Exploring Operation: 131-37=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 26, 14, 20, 82 ]
90
[ "26-14=12", "20+82=102", "102-12=90" ]
Current State: 90:[26, 14, 20, 82], Operations: [] Exploring Operation: 26-14=12, Resulting Numbers: [20, 82, 12] Generated Node #2: [20, 82, 12] from Operation: 26-14=12 Current State: 90:[20, 82, 12], Operations: ['26-14=12'] Exploring Operation: 20+82=102, Resulting Numbers: [12, 102] Generated Node #3: [12, 102] from Operation: 20+82=102 Current State: 90:[12, 102], Operations: ['26-14=12', '20+82=102'] Exploring Operation: 102-12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 24, 34, 36 ]
16
[ "24-16=8", "36-34=2", "8*2=16" ]
Current State: 16:[16, 24, 34, 36], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [34, 36, 8] Generated Node #2: [34, 36, 8] from Operation: 24-16=8 Current State: 16:[34, 36, 8], Operations: ['24-16=8'] Exploring Operation: 36-34=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 36-34=2 Current State: 16:[8, 2], Operations: ['24-16=8', '36-34=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 32, 4, 90 ]
41
[ "90-3=87", "32*4=128", "128-87=41" ]
Current State: 41:[3, 32, 4, 90], Operations: [] Exploring Operation: 90-3=87, Resulting Numbers: [32, 4, 87] Generated Node #2: [32, 4, 87] from Operation: 90-3=87 Current State: 41:[32, 4, 87], Operations: ['90-3=87'] Exploring Operation: 32*4=128, Resulting Numbers: [87, 128] Generated Node #3: [87, 128] from Operation: 32*4=128 Current State: 41:[87, 128], Operations: ['90-3=87', '32*4=128'] Exploring Operation: 128-87=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 14, 29, 34 ]
82
[ "29-27=2", "34*2=68", "14+68=82" ]
Current State: 82:[27, 14, 29, 34], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [14, 34, 2] Generated Node #2: [14, 34, 2] from Operation: 29-27=2 Current State: 82:[14, 34, 2], Operations: ['29-27=2'] Exploring Operation: 34*2=68, Resulting Numbers: [14, 68] Generated Node #3: [14, 68] from Operation: 34*2=68 Current State: 82:[14, 68], Operations: ['29-27=2', '34*2=68'] Exploring Operation: 14+68=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 13, 56, 88 ]
84
[ "1+13=14", "56/14=4", "88-4=84" ]
Current State: 84:[1, 13, 56, 88], Operations: [] Exploring Operation: 1+13=14, Resulting Numbers: [56, 88, 14] Generated Node #2: [56, 88, 14] from Operation: 1+13=14 Current State: 84:[56, 88, 14], Operations: ['1+13=14'] Exploring Operation: 56/14=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 56/14=4 Current State: 84:[88, 4], Operations: ['1+13=14', '56/14=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 95, 80, 58, 24 ]
49
[ "95-80=15", "58-24=34", "15+34=49" ]
Current State: 49:[95, 80, 58, 24], Operations: [] Exploring Operation: 95-80=15, Resulting Numbers: [58, 24, 15] Generated Node #2: [58, 24, 15] from Operation: 95-80=15 Current State: 49:[58, 24, 15], Operations: ['95-80=15'] Exploring Operation: 58-24=34, Resulting Numbers: [15, 34] Generated Node #3: [15, 34] from Operation: 58-24=34 Current State: 49:[15, 34], Operations: ['95-80=15', '58-24=34'] Exploring Operation: 15+34=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 45, 9, 67, 27 ]
58
[ "45-9=36", "67+27=94", "94-36=58" ]
Current State: 58:[45, 9, 67, 27], Operations: [] Exploring Operation: 45-9=36, Resulting Numbers: [67, 27, 36] Generated Node #2: [67, 27, 36] from Operation: 45-9=36 Current State: 58:[67, 27, 36], Operations: ['45-9=36'] Exploring Operation: 67+27=94, Resulting Numbers: [36, 94] Generated Node #3: [36, 94] from Operation: 67+27=94 Current State: 58:[36, 94], Operations: ['45-9=36', '67+27=94'] Exploring Operation: 94-36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 1, 65, 4 ]
42
[ "26+1=27", "65+4=69", "69-27=42" ]
Current State: 42:[26, 1, 65, 4], Operations: [] Exploring Operation: 26+1=27, Resulting Numbers: [65, 4, 27] Generated Node #2: [65, 4, 27] from Operation: 26+1=27 Current State: 42:[65, 4, 27], Operations: ['26+1=27'] Exploring Operation: 65+4=69, Resulting Numbers: [27, 69] Generated Node #3: [27, 69] from Operation: 65+4=69 Current State: 42:[27, 69], Operations: ['26+1=27', '65+4=69'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 14, 39, 71 ]
20
[ "14-2=12", "71-39=32", "32-12=20" ]
Current State: 20:[2, 14, 39, 71], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [39, 71, 12] Generated Node #2: [39, 71, 12] from Operation: 14-2=12 Current State: 20:[39, 71, 12], Operations: ['14-2=12'] Exploring Operation: 71-39=32, Resulting Numbers: [12, 32] Generated Node #3: [12, 32] from Operation: 71-39=32 Current State: 20:[12, 32], Operations: ['14-2=12', '71-39=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 33, 8, 56, 77 ]
20
[ "33+8=41", "77-56=21", "41-21=20" ]
Current State: 20:[33, 8, 56, 77], Operations: [] Exploring Operation: 33+8=41, Resulting Numbers: [56, 77, 41] Generated Node #2: [56, 77, 41] from Operation: 33+8=41 Current State: 20:[56, 77, 41], Operations: ['33+8=41'] Exploring Operation: 77-56=21, Resulting Numbers: [41, 21] Generated Node #3: [41, 21] from Operation: 77-56=21 Current State: 20:[41, 21], Operations: ['33+8=41', '77-56=21'] Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 94, 94, 33 ]
87
[ "94-68=26", "94-33=61", "26+61=87" ]
Current State: 87:[68, 94, 94, 33], Operations: [] Exploring Operation: 94-68=26, Resulting Numbers: [33, 26] Generated Node #2: [33, 26] from Operation: 94-68=26 Current State: 87:[33, 26], Operations: ['94-68=26'] Exploring Operation: 94-33=61, Resulting Numbers: [26, 61] Generated Node #3: [26, 61] from Operation: 94-33=61 Current State: 87:[26, 61], Operations: ['94-68=26', '94-33=61'] Exploring Operation: 26+61=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 55, 90, 46 ]
91
[ "55-9=46", "46/46=1", "90+1=91" ]
Current State: 91:[9, 55, 90, 46], Operations: [] Exploring Operation: 55-9=46, Resulting Numbers: [90, 46, 46] Generated Node #2: [90, 46, 46] from Operation: 55-9=46 Current State: 91:[90, 46, 46], Operations: ['55-9=46'] Exploring Operation: 46/46=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 46/46=1 Current State: 91:[90, 1], Operations: ['55-9=46', '46/46=1'] Exploring Operation: 90+1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 49, 99, 20, 83 ]
53
[ "99-49=50", "20+83=103", "103-50=53" ]
Current State: 53:[49, 99, 20, 83], Operations: [] Exploring Operation: 99-49=50, Resulting Numbers: [20, 83, 50] Generated Node #2: [20, 83, 50] from Operation: 99-49=50 Current State: 53:[20, 83, 50], Operations: ['99-49=50'] Exploring Operation: 20+83=103, Resulting Numbers: [50, 103] Generated Node #3: [50, 103] from Operation: 20+83=103 Current State: 53:[50, 103], Operations: ['99-49=50', '20+83=103'] Exploring Operation: 103-50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 89, 1, 15, 80 ]
25
[ "89+1=90", "80-15=65", "90-65=25" ]
Current State: 25:[89, 1, 15, 80], Operations: [] Exploring Operation: 89+1=90, Resulting Numbers: [15, 80, 90] Generated Node #2: [15, 80, 90] from Operation: 89+1=90 Current State: 25:[15, 80, 90], Operations: ['89+1=90'] Exploring Operation: 80-15=65, Resulting Numbers: [90, 65] Generated Node #3: [90, 65] from Operation: 80-15=65 Current State: 25:[90, 65], Operations: ['89+1=90', '80-15=65'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 64, 74, 32 ]
71
[ "49+64=113", "74-32=42", "113-42=71" ]
Current State: 71:[49, 64, 74, 32], Operations: [] Exploring Operation: 49+64=113, Resulting Numbers: [74, 32, 113] Generated Node #2: [74, 32, 113] from Operation: 49+64=113 Current State: 71:[74, 32, 113], Operations: ['49+64=113'] Exploring Operation: 74-32=42, Resulting Numbers: [113, 42] Generated Node #3: [113, 42] from Operation: 74-32=42 Current State: 71:[113, 42], Operations: ['49+64=113', '74-32=42'] Exploring Operation: 113-42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 83, 90, 78 ]
74
[ "83-78=5", "90/5=18", "56+18=74" ]
Current State: 74:[56, 83, 90, 78], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [56, 90, 5] Generated Node #2: [56, 90, 5] from Operation: 83-78=5 Current State: 74:[56, 90, 5], Operations: ['83-78=5'] Exploring Operation: 90/5=18, Resulting Numbers: [56, 18] Generated Node #3: [56, 18] from Operation: 90/5=18 Current State: 74:[56, 18], Operations: ['83-78=5', '90/5=18'] Exploring Operation: 56+18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 2, 37, 69, 11 ]
84
[ "2*11=22", "37+69=106", "106-22=84" ]
Current State: 84:[2, 37, 69, 11], Operations: [] Exploring Operation: 2*11=22, Resulting Numbers: [37, 69, 22] Generated Node #2: [37, 69, 22] from Operation: 2*11=22 Current State: 84:[37, 69, 22], Operations: ['2*11=22'] Exploring Operation: 37+69=106, Resulting Numbers: [22, 106] Generated Node #3: [22, 106] from Operation: 37+69=106 Current State: 84:[22, 106], Operations: ['2*11=22', '37+69=106'] Exploring Operation: 106-22=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 91, 45, 89, 96 ]
53
[ "91-45=46", "96-89=7", "46+7=53" ]
Current State: 53:[91, 45, 89, 96], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [89, 96, 46] Generated Node #2: [89, 96, 46] from Operation: 91-45=46 Current State: 53:[89, 96, 46], Operations: ['91-45=46'] Exploring Operation: 96-89=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 96-89=7 Current State: 53:[46, 7], Operations: ['91-45=46', '96-89=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 13, 13, 17 ]
69
[ "4*17=68", "13/13=1", "68+1=69" ]
Current State: 69:[4, 13, 13, 17], Operations: [] Exploring Operation: 4*17=68, Resulting Numbers: [13, 13, 68] Generated Node #2: [13, 13, 68] from Operation: 4*17=68 Current State: 69:[13, 13, 68], Operations: ['4*17=68'] Exploring Operation: 13/13=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 13/13=1 Current State: 69:[68, 1], Operations: ['4*17=68', '13/13=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 42, 84, 42, 40 ]
37
[ "42+84=126", "126/42=3", "40-3=37" ]
Current State: 37:[42, 84, 42, 40], Operations: [] Exploring Operation: 42+84=126, Resulting Numbers: [40, 126] Generated Node #2: [40, 126] from Operation: 42+84=126 Current State: 37:[40, 126], Operations: ['42+84=126'] Exploring Operation: 126/42=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 126/42=3 Current State: 37:[40, 3], Operations: ['42+84=126', '126/42=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 25, 94, 41 ]
90
[ "62-25=37", "94-41=53", "37+53=90" ]
Current State: 90:[62, 25, 94, 41], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [94, 41, 37] Generated Node #2: [94, 41, 37] from Operation: 62-25=37 Current State: 90:[94, 41, 37], Operations: ['62-25=37'] Exploring Operation: 94-41=53, Resulting Numbers: [37, 53] Generated Node #3: [37, 53] from Operation: 94-41=53 Current State: 90:[37, 53], Operations: ['62-25=37', '94-41=53'] Exploring Operation: 37+53=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 16, 84, 79 ]
40
[ "24-16=8", "84-79=5", "8*5=40" ]
Current State: 40:[24, 16, 84, 79], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [84, 79, 8] Generated Node #2: [84, 79, 8] from Operation: 24-16=8 Current State: 40:[84, 79, 8], Operations: ['24-16=8'] Exploring Operation: 84-79=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 84-79=5 Current State: 40:[8, 5], Operations: ['24-16=8', '84-79=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 55, 9, 39, 71 ]
64
[ "55-9=46", "39+71=110", "110-46=64" ]
Current State: 64:[55, 9, 39, 71], Operations: [] Exploring Operation: 55-9=46, Resulting Numbers: [39, 71, 46] Generated Node #2: [39, 71, 46] from Operation: 55-9=46 Current State: 64:[39, 71, 46], Operations: ['55-9=46'] Exploring Operation: 39+71=110, Resulting Numbers: [46, 110] Generated Node #3: [46, 110] from Operation: 39+71=110 Current State: 64:[46, 110], Operations: ['55-9=46', '39+71=110'] Exploring Operation: 110-46=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 52, 77, 51 ]
94
[ "52+77=129", "129/3=43", "51+43=94" ]
Current State: 94:[3, 52, 77, 51], Operations: [] Exploring Operation: 52+77=129, Resulting Numbers: [3, 51, 129] Generated Node #2: [3, 51, 129] from Operation: 52+77=129 Current State: 94:[3, 51, 129], Operations: ['52+77=129'] Exploring Operation: 129/3=43, Resulting Numbers: [51, 43] Generated Node #3: [51, 43] from Operation: 129/3=43 Current State: 94:[51, 43], Operations: ['52+77=129', '129/3=43'] Exploring Operation: 51+43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 22, 3, 57 ]
91
[ "15+22=37", "57-3=54", "37+54=91" ]
Current State: 91:[15, 22, 3, 57], Operations: [] Exploring Operation: 15+22=37, Resulting Numbers: [3, 57, 37] Generated Node #2: [3, 57, 37] from Operation: 15+22=37 Current State: 91:[3, 57, 37], Operations: ['15+22=37'] Exploring Operation: 57-3=54, Resulting Numbers: [37, 54] Generated Node #3: [37, 54] from Operation: 57-3=54 Current State: 91:[37, 54], Operations: ['15+22=37', '57-3=54'] Exploring Operation: 37+54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 33, 41, 32 ]
16
[ "33-26=7", "41-32=9", "7+9=16" ]
Current State: 16:[26, 33, 41, 32], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [41, 32, 7] Generated Node #2: [41, 32, 7] from Operation: 33-26=7 Current State: 16:[41, 32, 7], Operations: ['33-26=7'] Exploring Operation: 41-32=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 41-32=9 Current State: 16:[7, 9], Operations: ['33-26=7', '41-32=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 86, 41, 81, 66 ]
60
[ "86-41=45", "81-66=15", "45+15=60" ]
Current State: 60:[86, 41, 81, 66], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [81, 66, 45] Generated Node #2: [81, 66, 45] from Operation: 86-41=45 Current State: 60:[81, 66, 45], Operations: ['86-41=45'] Exploring Operation: 81-66=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 81-66=15 Current State: 60:[45, 15], Operations: ['86-41=45', '81-66=15'] Exploring Operation: 45+15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 52, 1, 36, 60 ]
77
[ "52+1=53", "60-36=24", "53+24=77" ]
Current State: 77:[52, 1, 36, 60], Operations: [] Exploring Operation: 52+1=53, Resulting Numbers: [36, 60, 53] Generated Node #2: [36, 60, 53] from Operation: 52+1=53 Current State: 77:[36, 60, 53], Operations: ['52+1=53'] Exploring Operation: 60-36=24, Resulting Numbers: [53, 24] Generated Node #3: [53, 24] from Operation: 60-36=24 Current State: 77:[53, 24], Operations: ['52+1=53', '60-36=24'] Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 7, 22, 92, 25 ]
15
[ "92-22=70", "70/7=10", "25-10=15" ]
Current State: 15:[7, 22, 92, 25], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [7, 25, 70] Generated Node #2: [7, 25, 70] from Operation: 92-22=70 Current State: 15:[7, 25, 70], Operations: ['92-22=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: ['92-22=70', '70/7=10'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 85, 17, 20 ]
95
[ "77*20=1540", "85*17=1445", "1540-1445=95" ]
Current State: 95:[77, 85, 17, 20], Operations: [] Exploring Operation: 77*20=1540, Resulting Numbers: [85, 17, 1540] Generated Node #2: [85, 17, 1540] from Operation: 77*20=1540 Current State: 95:[85, 17, 1540], Operations: ['77*20=1540'] Exploring Operation: 85*17=1445, Resulting Numbers: [1540, 1445] Generated Node #3: [1540, 1445] from Operation: 85*17=1445 Current State: 95:[1540, 1445], Operations: ['77*20=1540', '85*17=1445'] Exploring Operation: 1540-1445=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4