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
[ 62, 8, 54, 58 ]
16
[ "62+54=116", "8*116=928", "928/58=16" ]
Current State: 16:[62, 8, 54, 58], Operations: [] Exploring Operation: 62+54=116, Resulting Numbers: [8, 58, 116] Generated Node #2: [8, 58, 116] from Operation: 62+54=116 Current State: 16:[8, 58, 116], Operations: ['62+54=116'] Exploring Operation: 8*116=928, Resulting Numbers: [58, 928] Generated Node #3: [58, 928] from Operation: 8*116=928 Current State: 16:[58, 928], Operations: ['62+54=116', '8*116=928'] Exploring Operation: 928/58=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 34, 52, 74, 4 ]
48
[ "34+52=86", "86-74=12", "4*12=48" ]
Current State: 48:[34, 52, 74, 4], Operations: [] Exploring Operation: 34+52=86, Resulting Numbers: [74, 4, 86] Generated Node #2: [74, 4, 86] from Operation: 34+52=86 Current State: 48:[74, 4, 86], Operations: ['34+52=86'] Exploring Operation: 86-74=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 86-74=12 Current State: 48:[4, 12], Operations: ['34+52=86', '86-74=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 10, 6, 8, 41 ]
82
[ "10+6=16", "16/8=2", "41*2=82" ]
Current State: 82:[10, 6, 8, 41], Operations: [] Exploring Operation: 10+6=16, Resulting Numbers: [8, 41, 16] Generated Node #2: [8, 41, 16] from Operation: 10+6=16 Current State: 82:[8, 41, 16], Operations: ['10+6=16'] Exploring Operation: 16/8=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 16/8=2 Current State: 82:[41, 2], Operations: ['10+6=16', '16/8=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 21, 87, 82 ]
61
[ "77-21=56", "87-82=5", "56+5=61" ]
Current State: 61:[77, 21, 87, 82], Operations: [] Exploring Operation: 77-21=56, Resulting Numbers: [87, 82, 56] Generated Node #2: [87, 82, 56] from Operation: 77-21=56 Current State: 61:[87, 82, 56], Operations: ['77-21=56'] Exploring Operation: 87-82=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 87-82=5 Current State: 61:[56, 5], Operations: ['77-21=56', '87-82=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 33, 18, 45 ]
47
[ "48+18=66", "66/33=2", "45+2=47" ]
Current State: 47:[48, 33, 18, 45], Operations: [] Exploring Operation: 48+18=66, Resulting Numbers: [33, 45, 66] Generated Node #2: [33, 45, 66] from Operation: 48+18=66 Current State: 47:[33, 45, 66], Operations: ['48+18=66'] Exploring Operation: 66/33=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 66/33=2 Current State: 47:[45, 2], Operations: ['48+18=66', '66/33=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 39, 45, 10, 41 ]
53
[ "39+45=84", "41-10=31", "84-31=53" ]
Current State: 53:[39, 45, 10, 41], Operations: [] Exploring Operation: 39+45=84, Resulting Numbers: [10, 41, 84] Generated Node #2: [10, 41, 84] from Operation: 39+45=84 Current State: 53:[10, 41, 84], Operations: ['39+45=84'] Exploring Operation: 41-10=31, Resulting Numbers: [84, 31] Generated Node #3: [84, 31] from Operation: 41-10=31 Current State: 53:[84, 31], Operations: ['39+45=84', '41-10=31'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 47, 5, 18, 82 ]
39
[ "47+82=129", "5*18=90", "129-90=39" ]
Current State: 39:[47, 5, 18, 82], Operations: [] Exploring Operation: 47+82=129, Resulting Numbers: [5, 18, 129] Generated Node #2: [5, 18, 129] from Operation: 47+82=129 Current State: 39:[5, 18, 129], Operations: ['47+82=129'] Exploring Operation: 5*18=90, Resulting Numbers: [129, 90] Generated Node #3: [129, 90] from Operation: 5*18=90 Current State: 39:[129, 90], Operations: ['47+82=129', '5*18=90'] Exploring Operation: 129-90=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 77, 75, 6, 48 ]
18
[ "77-75=2", "48/2=24", "24-6=18" ]
Current State: 18:[77, 75, 6, 48], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [6, 48, 2] Generated Node #2: [6, 48, 2] from Operation: 77-75=2 Current State: 18:[6, 48, 2], Operations: ['77-75=2'] Exploring Operation: 48/2=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 48/2=24 Current State: 18:[6, 24], Operations: ['77-75=2', '48/2=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 20, 53, 55, 81 ]
15
[ "20*81=1620", "53+55=108", "1620/108=15" ]
Current State: 15:[20, 53, 55, 81], Operations: [] Exploring Operation: 20*81=1620, Resulting Numbers: [53, 55, 1620] Generated Node #2: [53, 55, 1620] from Operation: 20*81=1620 Current State: 15:[53, 55, 1620], Operations: ['20*81=1620'] Exploring Operation: 53+55=108, Resulting Numbers: [1620, 108] Generated Node #3: [1620, 108] from Operation: 53+55=108 Current State: 15:[1620, 108], Operations: ['20*81=1620', '53+55=108'] Exploring Operation: 1620/108=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 11, 56, 8 ]
57
[ "18-11=7", "56+8=64", "64-7=57" ]
Current State: 57:[18, 11, 56, 8], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [56, 8, 7] Generated Node #2: [56, 8, 7] from Operation: 18-11=7 Current State: 57:[56, 8, 7], Operations: ['18-11=7'] Exploring Operation: 56+8=64, Resulting Numbers: [7, 64] Generated Node #3: [7, 64] from Operation: 56+8=64 Current State: 57:[7, 64], Operations: ['18-11=7', '56+8=64'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 89, 26, 91, 66 ]
59
[ "91-89=2", "66/2=33", "26+33=59" ]
Current State: 59:[89, 26, 91, 66], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [26, 66, 2] Generated Node #2: [26, 66, 2] from Operation: 91-89=2 Current State: 59:[26, 66, 2], Operations: ['91-89=2'] Exploring Operation: 66/2=33, Resulting Numbers: [26, 33] Generated Node #3: [26, 33] from Operation: 66/2=33 Current State: 59:[26, 33], Operations: ['91-89=2', '66/2=33'] Exploring Operation: 26+33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 35, 20, 7, 13 ]
12
[ "35/7=5", "20-13=7", "5+7=12" ]
Current State: 12:[35, 20, 7, 13], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [20, 13, 5] Generated Node #2: [20, 13, 5] from Operation: 35/7=5 Current State: 12:[20, 13, 5], Operations: ['35/7=5'] Exploring Operation: 20-13=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 20-13=7 Current State: 12:[5, 7], Operations: ['35/7=5', '20-13=7'] Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 67, 45, 41, 49 ]
97
[ "49-45=4", "41*4=164", "164-67=97" ]
Current State: 97:[67, 45, 41, 49], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [67, 41, 4] Generated Node #2: [67, 41, 4] from Operation: 49-45=4 Current State: 97:[67, 41, 4], Operations: ['49-45=4'] Exploring Operation: 41*4=164, Resulting Numbers: [67, 164] Generated Node #3: [67, 164] from Operation: 41*4=164 Current State: 97:[67, 164], Operations: ['49-45=4', '41*4=164'] Exploring Operation: 164-67=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 17, 4, 25 ]
36
[ "17+17=34", "34-25=9", "4*9=36" ]
Current State: 36:[17, 17, 4, 25], Operations: [] Exploring Operation: 17+17=34, Resulting Numbers: [4, 25, 34] Generated Node #2: [4, 25, 34] from Operation: 17+17=34 Current State: 36:[4, 25, 34], Operations: ['17+17=34'] Exploring Operation: 34-25=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 34-25=9 Current State: 36:[4, 9], Operations: ['17+17=34', '34-25=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 7, 94, 20 ]
19
[ "48+7=55", "94-20=74", "74-55=19" ]
Current State: 19:[48, 7, 94, 20], Operations: [] Exploring Operation: 48+7=55, Resulting Numbers: [94, 20, 55] Generated Node #2: [94, 20, 55] from Operation: 48+7=55 Current State: 19:[94, 20, 55], Operations: ['48+7=55'] Exploring Operation: 94-20=74, Resulting Numbers: [55, 74] Generated Node #3: [55, 74] from Operation: 94-20=74 Current State: 19:[55, 74], Operations: ['48+7=55', '94-20=74'] Exploring Operation: 74-55=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 39, 29, 45 ]
13
[ "78/39=2", "29*2=58", "58-45=13" ]
Current State: 13:[78, 39, 29, 45], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [29, 45, 2] Generated Node #2: [29, 45, 2] from Operation: 78/39=2 Current State: 13:[29, 45, 2], Operations: ['78/39=2'] Exploring Operation: 29*2=58, Resulting Numbers: [45, 58] Generated Node #3: [45, 58] from Operation: 29*2=58 Current State: 13:[45, 58], Operations: ['78/39=2', '29*2=58'] Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 77, 26, 4, 84 ]
29
[ "77-26=51", "84-4=80", "80-51=29" ]
Current State: 29:[77, 26, 4, 84], Operations: [] Exploring Operation: 77-26=51, Resulting Numbers: [4, 84, 51] Generated Node #2: [4, 84, 51] from Operation: 77-26=51 Current State: 29:[4, 84, 51], Operations: ['77-26=51'] Exploring Operation: 84-4=80, Resulting Numbers: [51, 80] Generated Node #3: [51, 80] from Operation: 84-4=80 Current State: 29:[51, 80], Operations: ['77-26=51', '84-4=80'] Exploring Operation: 80-51=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 94, 2, 18, 64 ]
44
[ "94-18=76", "64/2=32", "76-32=44" ]
Current State: 44:[94, 2, 18, 64], Operations: [] Exploring Operation: 94-18=76, Resulting Numbers: [2, 64, 76] Generated Node #2: [2, 64, 76] from Operation: 94-18=76 Current State: 44:[2, 64, 76], Operations: ['94-18=76'] Exploring Operation: 64/2=32, Resulting Numbers: [76, 32] Generated Node #3: [76, 32] from Operation: 64/2=32 Current State: 44:[76, 32], Operations: ['94-18=76', '64/2=32'] Exploring Operation: 76-32=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 34, 31, 84, 99 ]
80
[ "34+31=65", "99-84=15", "65+15=80" ]
Current State: 80:[34, 31, 84, 99], Operations: [] Exploring Operation: 34+31=65, Resulting Numbers: [84, 99, 65] Generated Node #2: [84, 99, 65] from Operation: 34+31=65 Current State: 80:[84, 99, 65], Operations: ['34+31=65'] Exploring Operation: 99-84=15, Resulting Numbers: [65, 15] Generated Node #3: [65, 15] from Operation: 99-84=15 Current State: 80:[65, 15], Operations: ['34+31=65', '99-84=15'] Exploring Operation: 65+15=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 9, 17, 1 ]
43
[ "16+9=25", "17+1=18", "25+18=43" ]
Current State: 43:[16, 9, 17, 1], Operations: [] Exploring Operation: 16+9=25, Resulting Numbers: [17, 1, 25] Generated Node #2: [17, 1, 25] from Operation: 16+9=25 Current State: 43:[17, 1, 25], Operations: ['16+9=25'] Exploring Operation: 17+1=18, Resulting Numbers: [25, 18] Generated Node #3: [25, 18] from Operation: 17+1=18 Current State: 43:[25, 18], Operations: ['16+9=25', '17+1=18'] Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 7, 89, 90, 81 ]
91
[ "89-7=82", "90-81=9", "82+9=91" ]
Current State: 91:[7, 89, 90, 81], Operations: [] Exploring Operation: 89-7=82, Resulting Numbers: [90, 81, 82] Generated Node #2: [90, 81, 82] from Operation: 89-7=82 Current State: 91:[90, 81, 82], Operations: ['89-7=82'] Exploring Operation: 90-81=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 90-81=9 Current State: 91:[82, 9], Operations: ['89-7=82', '90-81=9'] Exploring Operation: 82+9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 94, 5, 7, 58 ]
34
[ "94+5=99", "7+58=65", "99-65=34" ]
Current State: 34:[94, 5, 7, 58], Operations: [] Exploring Operation: 94+5=99, Resulting Numbers: [7, 58, 99] Generated Node #2: [7, 58, 99] from Operation: 94+5=99 Current State: 34:[7, 58, 99], Operations: ['94+5=99'] Exploring Operation: 7+58=65, Resulting Numbers: [99, 65] Generated Node #3: [99, 65] from Operation: 7+58=65 Current State: 34:[99, 65], Operations: ['94+5=99', '7+58=65'] Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 59, 73, 77, 88 ]
12
[ "59+73=132", "88-77=11", "132/11=12" ]
Current State: 12:[59, 73, 77, 88], Operations: [] Exploring Operation: 59+73=132, Resulting Numbers: [77, 88, 132] Generated Node #2: [77, 88, 132] from Operation: 59+73=132 Current State: 12:[77, 88, 132], Operations: ['59+73=132'] Exploring Operation: 88-77=11, Resulting Numbers: [132, 11] Generated Node #3: [132, 11] from Operation: 88-77=11 Current State: 12:[132, 11], Operations: ['59+73=132', '88-77=11'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 69, 38, 35, 79 ]
63
[ "69+38=107", "79-35=44", "107-44=63" ]
Current State: 63:[69, 38, 35, 79], Operations: [] Exploring Operation: 69+38=107, Resulting Numbers: [35, 79, 107] Generated Node #2: [35, 79, 107] from Operation: 69+38=107 Current State: 63:[35, 79, 107], Operations: ['69+38=107'] Exploring Operation: 79-35=44, Resulting Numbers: [107, 44] Generated Node #3: [107, 44] from Operation: 79-35=44 Current State: 63:[107, 44], Operations: ['69+38=107', '79-35=44'] Exploring Operation: 107-44=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 66, 60, 7 ]
55
[ "66-64=2", "60-7=53", "2+53=55" ]
Current State: 55:[64, 66, 60, 7], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [60, 7, 2] Generated Node #2: [60, 7, 2] from Operation: 66-64=2 Current State: 55:[60, 7, 2], Operations: ['66-64=2'] Exploring Operation: 60-7=53, Resulting Numbers: [2, 53] Generated Node #3: [2, 53] from Operation: 60-7=53 Current State: 55:[2, 53], Operations: ['66-64=2', '60-7=53'] Exploring Operation: 2+53=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 70, 3, 50, 72 ]
51
[ "70+3=73", "72-50=22", "73-22=51" ]
Current State: 51:[70, 3, 50, 72], Operations: [] Exploring Operation: 70+3=73, Resulting Numbers: [50, 72, 73] Generated Node #2: [50, 72, 73] from Operation: 70+3=73 Current State: 51:[50, 72, 73], Operations: ['70+3=73'] Exploring Operation: 72-50=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 72-50=22 Current State: 51:[73, 22], Operations: ['70+3=73', '72-50=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 98, 65, 2, 47 ]
19
[ "98-65=33", "2*33=66", "66-47=19" ]
Current State: 19:[98, 65, 2, 47], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [2, 47, 33] Generated Node #2: [2, 47, 33] from Operation: 98-65=33 Current State: 19:[2, 47, 33], Operations: ['98-65=33'] Exploring Operation: 2*33=66, Resulting Numbers: [47, 66] Generated Node #3: [47, 66] from Operation: 2*33=66 Current State: 19:[47, 66], Operations: ['98-65=33', '2*33=66'] Exploring Operation: 66-47=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 6, 2, 88 ]
80
[ "6+2=8", "21*8=168", "168-88=80" ]
Current State: 80:[21, 6, 2, 88], Operations: [] Exploring Operation: 6+2=8, Resulting Numbers: [21, 88, 8] Generated Node #2: [21, 88, 8] from Operation: 6+2=8 Current State: 80:[21, 88, 8], Operations: ['6+2=8'] Exploring Operation: 21*8=168, Resulting Numbers: [88, 168] Generated Node #3: [88, 168] from Operation: 21*8=168 Current State: 80:[88, 168], Operations: ['6+2=8', '21*8=168'] Exploring Operation: 168-88=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 30, 85, 78, 50 ]
45
[ "78*50=3900", "3900/30=130", "130-85=45" ]
Current State: 45:[30, 85, 78, 50], Operations: [] Exploring Operation: 78*50=3900, Resulting Numbers: [30, 85, 3900] Generated Node #2: [30, 85, 3900] from Operation: 78*50=3900 Current State: 45:[30, 85, 3900], Operations: ['78*50=3900'] Exploring Operation: 3900/30=130, Resulting Numbers: [85, 130] Generated Node #3: [85, 130] from Operation: 3900/30=130 Current State: 45:[85, 130], Operations: ['78*50=3900', '3900/30=130'] Exploring Operation: 130-85=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 7, 79, 17, 88 ]
19
[ "7+79=86", "17+88=105", "105-86=19" ]
Current State: 19:[7, 79, 17, 88], Operations: [] Exploring Operation: 7+79=86, Resulting Numbers: [17, 88, 86] Generated Node #2: [17, 88, 86] from Operation: 7+79=86 Current State: 19:[17, 88, 86], Operations: ['7+79=86'] Exploring Operation: 17+88=105, Resulting Numbers: [86, 105] Generated Node #3: [86, 105] from Operation: 17+88=105 Current State: 19:[86, 105], Operations: ['7+79=86', '17+88=105'] Exploring Operation: 105-86=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 64, 13, 24 ]
25
[ "24-21=3", "13*3=39", "64-39=25" ]
Current State: 25:[21, 64, 13, 24], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [64, 13, 3] Generated Node #2: [64, 13, 3] from Operation: 24-21=3 Current State: 25:[64, 13, 3], Operations: ['24-21=3'] Exploring Operation: 13*3=39, Resulting Numbers: [64, 39] Generated Node #3: [64, 39] from Operation: 13*3=39 Current State: 25:[64, 39], Operations: ['24-21=3', '13*3=39'] Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 2, 85, 29 ]
52
[ "85-10=75", "29+75=104", "104/2=52" ]
Current State: 52:[10, 2, 85, 29], Operations: [] Exploring Operation: 85-10=75, Resulting Numbers: [2, 29, 75] Generated Node #2: [2, 29, 75] from Operation: 85-10=75 Current State: 52:[2, 29, 75], Operations: ['85-10=75'] Exploring Operation: 29+75=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 29+75=104 Current State: 52:[2, 104], Operations: ['85-10=75', '29+75=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 32, 29, 88 ]
62
[ "88/88=1", "32+29=61", "1+61=62" ]
Current State: 62:[88, 32, 29, 88], Operations: [] Exploring Operation: 88/88=1, Resulting Numbers: [32, 29, 1] Generated Node #2: [32, 29, 1] from Operation: 88/88=1 Current State: 62:[32, 29, 1], Operations: ['88/88=1'] Exploring Operation: 32+29=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 32+29=61 Current State: 62:[1, 61], Operations: ['88/88=1', '32+29=61'] Exploring Operation: 1+61=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 75, 61, 60, 64 ]
85
[ "64-61=3", "75/3=25", "60+25=85" ]
Current State: 85:[75, 61, 60, 64], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [75, 60, 3] Generated Node #2: [75, 60, 3] from Operation: 64-61=3 Current State: 85:[75, 60, 3], Operations: ['64-61=3'] Exploring Operation: 75/3=25, Resulting Numbers: [60, 25] Generated Node #3: [60, 25] from Operation: 75/3=25 Current State: 85:[60, 25], Operations: ['64-61=3', '75/3=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 94, 10, 5, 63 ]
26
[ "94-10=84", "63-5=58", "84-58=26" ]
Current State: 26:[94, 10, 5, 63], Operations: [] Exploring Operation: 94-10=84, Resulting Numbers: [5, 63, 84] Generated Node #2: [5, 63, 84] from Operation: 94-10=84 Current State: 26:[5, 63, 84], Operations: ['94-10=84'] Exploring Operation: 63-5=58, Resulting Numbers: [84, 58] Generated Node #3: [84, 58] from Operation: 63-5=58 Current State: 26:[84, 58], Operations: ['94-10=84', '63-5=58'] Exploring Operation: 84-58=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 52, 83, 96, 43 ]
22
[ "83-52=31", "96-43=53", "53-31=22" ]
Current State: 22:[52, 83, 96, 43], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [96, 43, 31] Generated Node #2: [96, 43, 31] from Operation: 83-52=31 Current State: 22:[96, 43, 31], Operations: ['83-52=31'] Exploring Operation: 96-43=53, Resulting Numbers: [31, 53] Generated Node #3: [31, 53] from Operation: 96-43=53 Current State: 22:[31, 53], Operations: ['83-52=31', '96-43=53'] Exploring Operation: 53-31=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 78, 96, 25, 72 ]
41
[ "78-72=6", "96/6=16", "25+16=41" ]
Current State: 41:[78, 96, 25, 72], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [96, 25, 6] Generated Node #2: [96, 25, 6] from Operation: 78-72=6 Current State: 41:[96, 25, 6], Operations: ['78-72=6'] Exploring Operation: 96/6=16, Resulting Numbers: [25, 16] Generated Node #3: [25, 16] from Operation: 96/6=16 Current State: 41:[25, 16], Operations: ['78-72=6', '96/6=16'] Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 71, 27, 21, 7 ]
13
[ "71+7=78", "27-21=6", "78/6=13" ]
Current State: 13:[71, 27, 21, 7], Operations: [] Exploring Operation: 71+7=78, Resulting Numbers: [27, 21, 78] Generated Node #2: [27, 21, 78] from Operation: 71+7=78 Current State: 13:[27, 21, 78], Operations: ['71+7=78'] Exploring Operation: 27-21=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 27-21=6 Current State: 13:[78, 6], Operations: ['71+7=78', '27-21=6'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 27, 4, 43 ]
68
[ "43-27=16", "17*16=272", "272/4=68" ]
Current State: 68:[17, 27, 4, 43], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [17, 4, 16] Generated Node #2: [17, 4, 16] from Operation: 43-27=16 Current State: 68:[17, 4, 16], Operations: ['43-27=16'] Exploring Operation: 17*16=272, Resulting Numbers: [4, 272] Generated Node #3: [4, 272] from Operation: 17*16=272 Current State: 68:[4, 272], Operations: ['43-27=16', '17*16=272'] Exploring Operation: 272/4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 46, 79, 86 ]
81
[ "86-46=40", "40/20=2", "79+2=81" ]
Current State: 81:[20, 46, 79, 86], Operations: [] Exploring Operation: 86-46=40, Resulting Numbers: [20, 79, 40] Generated Node #2: [20, 79, 40] from Operation: 86-46=40 Current State: 81:[20, 79, 40], Operations: ['86-46=40'] Exploring Operation: 40/20=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 40/20=2 Current State: 81:[79, 2], Operations: ['86-46=40', '40/20=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 79, 73, 66 ]
77
[ "73-40=33", "66/33=2", "79-2=77" ]
Current State: 77:[40, 79, 73, 66], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [79, 66, 33] Generated Node #2: [79, 66, 33] from Operation: 73-40=33 Current State: 77:[79, 66, 33], Operations: ['73-40=33'] Exploring Operation: 66/33=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 66/33=2 Current State: 77:[79, 2], Operations: ['73-40=33', '66/33=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 2, 82, 34 ]
77
[ "4+82=86", "86/2=43", "34+43=77" ]
Current State: 77:[4, 2, 82, 34], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [2, 34, 86] Generated Node #2: [2, 34, 86] from Operation: 4+82=86 Current State: 77:[2, 34, 86], Operations: ['4+82=86'] Exploring Operation: 86/2=43, Resulting Numbers: [34, 43] Generated Node #3: [34, 43] from Operation: 86/2=43 Current State: 77:[34, 43], Operations: ['4+82=86', '86/2=43'] Exploring Operation: 34+43=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 97, 81, 8 ]
82
[ "97-90=7", "81+8=89", "89-7=82" ]
Current State: 82:[90, 97, 81, 8], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [81, 8, 7] Generated Node #2: [81, 8, 7] from Operation: 97-90=7 Current State: 82:[81, 8, 7], Operations: ['97-90=7'] Exploring Operation: 81+8=89, Resulting Numbers: [7, 89] Generated Node #3: [7, 89] from Operation: 81+8=89 Current State: 82:[7, 89], Operations: ['97-90=7', '81+8=89'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 41, 78, 62, 18 ]
82
[ "78-62=16", "18-16=2", "41*2=82" ]
Current State: 82:[41, 78, 62, 18], Operations: [] Exploring Operation: 78-62=16, Resulting Numbers: [41, 18, 16] Generated Node #2: [41, 18, 16] from Operation: 78-62=16 Current State: 82:[41, 18, 16], Operations: ['78-62=16'] Exploring Operation: 18-16=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 18-16=2 Current State: 82:[41, 2], Operations: ['78-62=16', '18-16=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 49, 70, 40, 52 ]
33
[ "70-49=21", "52-40=12", "21+12=33" ]
Current State: 33:[49, 70, 40, 52], Operations: [] Exploring Operation: 70-49=21, Resulting Numbers: [40, 52, 21] Generated Node #2: [40, 52, 21] from Operation: 70-49=21 Current State: 33:[40, 52, 21], Operations: ['70-49=21'] Exploring Operation: 52-40=12, Resulting Numbers: [21, 12] Generated Node #3: [21, 12] from Operation: 52-40=12 Current State: 33:[21, 12], Operations: ['70-49=21', '52-40=12'] Exploring Operation: 21+12=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 30, 10, 72 ]
77
[ "45-30=15", "72-10=62", "15+62=77" ]
Current State: 77:[45, 30, 10, 72], Operations: [] Exploring Operation: 45-30=15, Resulting Numbers: [10, 72, 15] Generated Node #2: [10, 72, 15] from Operation: 45-30=15 Current State: 77:[10, 72, 15], Operations: ['45-30=15'] Exploring Operation: 72-10=62, Resulting Numbers: [15, 62] Generated Node #3: [15, 62] from Operation: 72-10=62 Current State: 77:[15, 62], Operations: ['45-30=15', '72-10=62'] Exploring Operation: 15+62=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 38, 78, 92 ]
87
[ "78-38=40", "40/8=5", "92-5=87" ]
Current State: 87:[8, 38, 78, 92], Operations: [] Exploring Operation: 78-38=40, Resulting Numbers: [8, 92, 40] Generated Node #2: [8, 92, 40] from Operation: 78-38=40 Current State: 87:[8, 92, 40], Operations: ['78-38=40'] Exploring Operation: 40/8=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 40/8=5 Current State: 87:[92, 5], Operations: ['78-38=40', '40/8=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 17, 18, 75 ]
79
[ "50+18=68", "68/17=4", "75+4=79" ]
Current State: 79:[50, 17, 18, 75], Operations: [] Exploring Operation: 50+18=68, Resulting Numbers: [17, 75, 68] Generated Node #2: [17, 75, 68] from Operation: 50+18=68 Current State: 79:[17, 75, 68], Operations: ['50+18=68'] Exploring Operation: 68/17=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 68/17=4 Current State: 79:[75, 4], Operations: ['50+18=68', '68/17=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 41, 43, 65 ]
26
[ "78-65=13", "43-41=2", "13*2=26" ]
Current State: 26:[78, 41, 43, 65], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [41, 43, 13] Generated Node #2: [41, 43, 13] from Operation: 78-65=13 Current State: 26:[41, 43, 13], Operations: ['78-65=13'] Exploring Operation: 43-41=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 43-41=2 Current State: 26:[13, 2], Operations: ['78-65=13', '43-41=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 11, 51, 99, 87 ]
27
[ "99/11=9", "87-51=36", "36-9=27" ]
Current State: 27:[11, 51, 99, 87], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [51, 87, 9] Generated Node #2: [51, 87, 9] from Operation: 99/11=9 Current State: 27:[51, 87, 9], Operations: ['99/11=9'] Exploring Operation: 87-51=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 87-51=36 Current State: 27:[9, 36], Operations: ['99/11=9', '87-51=36'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 31, 45, 29, 33 ]
24
[ "31-29=2", "45-33=12", "2*12=24" ]
Current State: 24:[31, 45, 29, 33], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [45, 33, 2] Generated Node #2: [45, 33, 2] from Operation: 31-29=2 Current State: 24:[45, 33, 2], Operations: ['31-29=2'] Exploring Operation: 45-33=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 45-33=12 Current State: 24:[2, 12], Operations: ['31-29=2', '45-33=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 76, 70, 78 ]
30
[ "76/2=38", "78-70=8", "38-8=30" ]
Current State: 30:[2, 76, 70, 78], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [70, 78, 38] Generated Node #2: [70, 78, 38] from Operation: 76/2=38 Current State: 30:[70, 78, 38], Operations: ['76/2=38'] Exploring Operation: 78-70=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 78-70=8 Current State: 30:[38, 8], Operations: ['76/2=38', '78-70=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 18, 2, 90, 57 ]
49
[ "18-2=16", "90-57=33", "16+33=49" ]
Current State: 49:[18, 2, 90, 57], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [90, 57, 16] Generated Node #2: [90, 57, 16] from Operation: 18-2=16 Current State: 49:[90, 57, 16], Operations: ['18-2=16'] Exploring Operation: 90-57=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 90-57=33 Current State: 49:[16, 33], Operations: ['18-2=16', '90-57=33'] Exploring Operation: 16+33=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 72, 60, 2 ]
69
[ "55+72=127", "60-2=58", "127-58=69" ]
Current State: 69:[55, 72, 60, 2], Operations: [] Exploring Operation: 55+72=127, Resulting Numbers: [60, 2, 127] Generated Node #2: [60, 2, 127] from Operation: 55+72=127 Current State: 69:[60, 2, 127], Operations: ['55+72=127'] Exploring Operation: 60-2=58, Resulting Numbers: [127, 58] Generated Node #3: [127, 58] from Operation: 60-2=58 Current State: 69:[127, 58], Operations: ['55+72=127', '60-2=58'] Exploring Operation: 127-58=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 76, 37, 24 ]
67
[ "4+76=80", "37-24=13", "80-13=67" ]
Current State: 67:[4, 76, 37, 24], Operations: [] Exploring Operation: 4+76=80, Resulting Numbers: [37, 24, 80] Generated Node #2: [37, 24, 80] from Operation: 4+76=80 Current State: 67:[37, 24, 80], Operations: ['4+76=80'] Exploring Operation: 37-24=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 37-24=13 Current State: 67:[80, 13], Operations: ['4+76=80', '37-24=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 30, 40, 22, 87 ]
39
[ "30+40=70", "22+87=109", "109-70=39" ]
Current State: 39:[30, 40, 22, 87], Operations: [] Exploring Operation: 30+40=70, Resulting Numbers: [22, 87, 70] Generated Node #2: [22, 87, 70] from Operation: 30+40=70 Current State: 39:[22, 87, 70], Operations: ['30+40=70'] Exploring Operation: 22+87=109, Resulting Numbers: [70, 109] Generated Node #3: [70, 109] from Operation: 22+87=109 Current State: 39:[70, 109], Operations: ['30+40=70', '22+87=109'] Exploring Operation: 109-70=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 67, 84, 29, 21 ]
67
[ "84-67=17", "29+21=50", "17+50=67" ]
Current State: 67:[67, 84, 29, 21], Operations: [] Exploring Operation: 84-67=17, Resulting Numbers: [29, 21, 17] Generated Node #2: [29, 21, 17] from Operation: 84-67=17 Current State: 67:[29, 21, 17], Operations: ['84-67=17'] Exploring Operation: 29+21=50, Resulting Numbers: [17, 50] Generated Node #3: [17, 50] from Operation: 29+21=50 Current State: 67:[17, 50], Operations: ['84-67=17', '29+21=50'] Exploring Operation: 17+50=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 98, 96, 12, 32 ]
89
[ "98-12=86", "96/32=3", "86+3=89" ]
Current State: 89:[98, 96, 12, 32], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [96, 32, 86] Generated Node #2: [96, 32, 86] from Operation: 98-12=86 Current State: 89:[96, 32, 86], Operations: ['98-12=86'] Exploring Operation: 96/32=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 96/32=3 Current State: 89:[86, 3], Operations: ['98-12=86', '96/32=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 26, 73, 54 ]
11
[ "54-45=9", "26+73=99", "99/9=11" ]
Current State: 11:[45, 26, 73, 54], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [26, 73, 9] Generated Node #2: [26, 73, 9] from Operation: 54-45=9 Current State: 11:[26, 73, 9], Operations: ['54-45=9'] Exploring Operation: 26+73=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 26+73=99 Current State: 11:[9, 99], Operations: ['54-45=9', '26+73=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 41, 37, 58, 72 ]
76
[ "41-37=4", "72/4=18", "58+18=76" ]
Current State: 76:[41, 37, 58, 72], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [58, 72, 4] Generated Node #2: [58, 72, 4] from Operation: 41-37=4 Current State: 76:[58, 72, 4], Operations: ['41-37=4'] Exploring Operation: 72/4=18, Resulting Numbers: [58, 18] Generated Node #3: [58, 18] from Operation: 72/4=18 Current State: 76:[58, 18], Operations: ['41-37=4', '72/4=18'] Exploring Operation: 58+18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 47, 3, 1 ]
86
[ "14-1=13", "3*13=39", "47+39=86" ]
Current State: 86:[14, 47, 3, 1], Operations: [] Exploring Operation: 14-1=13, Resulting Numbers: [47, 3, 13] Generated Node #2: [47, 3, 13] from Operation: 14-1=13 Current State: 86:[47, 3, 13], Operations: ['14-1=13'] Exploring Operation: 3*13=39, Resulting Numbers: [47, 39] Generated Node #3: [47, 39] from Operation: 3*13=39 Current State: 86:[47, 39], Operations: ['14-1=13', '3*13=39'] Exploring Operation: 47+39=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 15, 68, 26 ]
71
[ "8+15=23", "68+26=94", "94-23=71" ]
Current State: 71:[8, 15, 68, 26], Operations: [] Exploring Operation: 8+15=23, Resulting Numbers: [68, 26, 23] Generated Node #2: [68, 26, 23] from Operation: 8+15=23 Current State: 71:[68, 26, 23], Operations: ['8+15=23'] Exploring Operation: 68+26=94, Resulting Numbers: [23, 94] Generated Node #3: [23, 94] from Operation: 68+26=94 Current State: 71:[23, 94], Operations: ['8+15=23', '68+26=94'] Exploring Operation: 94-23=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 51, 37, 49, 94 ]
20
[ "51-49=2", "37*2=74", "94-74=20" ]
Current State: 20:[51, 37, 49, 94], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [37, 94, 2] Generated Node #2: [37, 94, 2] from Operation: 51-49=2 Current State: 20:[37, 94, 2], Operations: ['51-49=2'] Exploring Operation: 37*2=74, Resulting Numbers: [94, 74] Generated Node #3: [94, 74] from Operation: 37*2=74 Current State: 20:[94, 74], Operations: ['51-49=2', '37*2=74'] Exploring Operation: 94-74=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 20, 39, 74, 95 ]
79
[ "39-20=19", "95/19=5", "74+5=79" ]
Current State: 79:[20, 39, 74, 95], Operations: [] Exploring Operation: 39-20=19, Resulting Numbers: [74, 95, 19] Generated Node #2: [74, 95, 19] from Operation: 39-20=19 Current State: 79:[74, 95, 19], Operations: ['39-20=19'] Exploring Operation: 95/19=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 95/19=5 Current State: 79:[74, 5], Operations: ['39-20=19', '95/19=5'] Exploring Operation: 74+5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 35, 98, 7, 23 ]
79
[ "98-35=63", "23-7=16", "63+16=79" ]
Current State: 79:[35, 98, 7, 23], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [7, 23, 63] Generated Node #2: [7, 23, 63] from Operation: 98-35=63 Current State: 79:[7, 23, 63], Operations: ['98-35=63'] Exploring Operation: 23-7=16, Resulting Numbers: [63, 16] Generated Node #3: [63, 16] from Operation: 23-7=16 Current State: 79:[63, 16], Operations: ['98-35=63', '23-7=16'] Exploring Operation: 63+16=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 21, 91, 3, 5 ]
13
[ "21+5=26", "3*26=78", "91-78=13" ]
Current State: 13:[21, 91, 3, 5], Operations: [] Exploring Operation: 21+5=26, Resulting Numbers: [91, 3, 26] Generated Node #2: [91, 3, 26] from Operation: 21+5=26 Current State: 13:[91, 3, 26], Operations: ['21+5=26'] Exploring Operation: 3*26=78, Resulting Numbers: [91, 78] Generated Node #3: [91, 78] from Operation: 3*26=78 Current State: 13:[91, 78], Operations: ['21+5=26', '3*26=78'] Exploring Operation: 91-78=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 39, 68, 1 ]
96
[ "39-10=29", "68-1=67", "29+67=96" ]
Current State: 96:[10, 39, 68, 1], Operations: [] Exploring Operation: 39-10=29, Resulting Numbers: [68, 1, 29] Generated Node #2: [68, 1, 29] from Operation: 39-10=29 Current State: 96:[68, 1, 29], Operations: ['39-10=29'] Exploring Operation: 68-1=67, Resulting Numbers: [29, 67] Generated Node #3: [29, 67] from Operation: 68-1=67 Current State: 96:[29, 67], Operations: ['39-10=29', '68-1=67'] Exploring Operation: 29+67=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 23, 75, 82 ]
95
[ "79+23=102", "82-75=7", "102-7=95" ]
Current State: 95:[79, 23, 75, 82], Operations: [] Exploring Operation: 79+23=102, Resulting Numbers: [75, 82, 102] Generated Node #2: [75, 82, 102] from Operation: 79+23=102 Current State: 95:[75, 82, 102], Operations: ['79+23=102'] Exploring Operation: 82-75=7, Resulting Numbers: [102, 7] Generated Node #3: [102, 7] from Operation: 82-75=7 Current State: 95:[102, 7], Operations: ['79+23=102', '82-75=7'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 81, 64, 3, 76 ]
31
[ "81-64=17", "76+17=93", "93/3=31" ]
Current State: 31:[81, 64, 3, 76], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [3, 76, 17] Generated Node #2: [3, 76, 17] from Operation: 81-64=17 Current State: 31:[3, 76, 17], Operations: ['81-64=17'] Exploring Operation: 76+17=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 76+17=93 Current State: 31:[3, 93], Operations: ['81-64=17', '76+17=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 92, 34, 51 ]
62
[ "1+92=93", "34*93=3162", "3162/51=62" ]
Current State: 62:[1, 92, 34, 51], Operations: [] Exploring Operation: 1+92=93, Resulting Numbers: [34, 51, 93] Generated Node #2: [34, 51, 93] from Operation: 1+92=93 Current State: 62:[34, 51, 93], Operations: ['1+92=93'] Exploring Operation: 34*93=3162, Resulting Numbers: [51, 3162] Generated Node #3: [51, 3162] from Operation: 34*93=3162 Current State: 62:[51, 3162], Operations: ['1+92=93', '34*93=3162'] Exploring Operation: 3162/51=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 39, 78, 81, 66 ]
96
[ "78/39=2", "81*2=162", "162-66=96" ]
Current State: 96:[39, 78, 81, 66], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [81, 66, 2] Generated Node #2: [81, 66, 2] from Operation: 78/39=2 Current State: 96:[81, 66, 2], Operations: ['78/39=2'] Exploring Operation: 81*2=162, Resulting Numbers: [66, 162] Generated Node #3: [66, 162] from Operation: 81*2=162 Current State: 96:[66, 162], Operations: ['78/39=2', '81*2=162'] Exploring Operation: 162-66=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 42, 31, 42 ]
40
[ "42-42=0", "31*0=0", "40+0=40" ]
Current State: 40:[40, 42, 31, 42], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [40, 31, 0] Generated Node #2: [40, 31, 0] from Operation: 42-42=0 Current State: 40:[40, 31, 0], Operations: ['42-42=0'] Exploring Operation: 31*0=0, Resulting Numbers: [40, 0] Generated Node #3: [40, 0] from Operation: 31*0=0 Current State: 40:[40, 0], Operations: ['42-42=0', '31*0=0'] Exploring Operation: 40+0=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 16, 15, 38 ]
48
[ "43-38=5", "16*15=240", "240/5=48" ]
Current State: 48:[43, 16, 15, 38], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [16, 15, 5] Generated Node #2: [16, 15, 5] from Operation: 43-38=5 Current State: 48:[16, 15, 5], Operations: ['43-38=5'] Exploring Operation: 16*15=240, Resulting Numbers: [5, 240] Generated Node #3: [5, 240] from Operation: 16*15=240 Current State: 48:[5, 240], Operations: ['43-38=5', '16*15=240'] Exploring Operation: 240/5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 21, 60, 33 ]
70
[ "33/3=11", "21+60=81", "81-11=70" ]
Current State: 70:[3, 21, 60, 33], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [21, 60, 11] Generated Node #2: [21, 60, 11] from Operation: 33/3=11 Current State: 70:[21, 60, 11], Operations: ['33/3=11'] Exploring Operation: 21+60=81, Resulting Numbers: [11, 81] Generated Node #3: [11, 81] from Operation: 21+60=81 Current State: 70:[11, 81], Operations: ['33/3=11', '21+60=81'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 74, 26, 16 ]
77
[ "45+74=119", "26+16=42", "119-42=77" ]
Current State: 77:[45, 74, 26, 16], Operations: [] Exploring Operation: 45+74=119, Resulting Numbers: [26, 16, 119] Generated Node #2: [26, 16, 119] from Operation: 45+74=119 Current State: 77:[26, 16, 119], Operations: ['45+74=119'] Exploring Operation: 26+16=42, Resulting Numbers: [119, 42] Generated Node #3: [119, 42] from Operation: 26+16=42 Current State: 77:[119, 42], Operations: ['45+74=119', '26+16=42'] Exploring Operation: 119-42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 88, 2, 22 ]
16
[ "10+2=12", "88/22=4", "12+4=16" ]
Current State: 16:[10, 88, 2, 22], Operations: [] Exploring Operation: 10+2=12, Resulting Numbers: [88, 22, 12] Generated Node #2: [88, 22, 12] from Operation: 10+2=12 Current State: 16:[88, 22, 12], Operations: ['10+2=12'] Exploring Operation: 88/22=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 88/22=4 Current State: 16:[12, 4], Operations: ['10+2=12', '88/22=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 11, 28, 48 ]
60
[ "51-11=40", "48-28=20", "40+20=60" ]
Current State: 60:[51, 11, 28, 48], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [28, 48, 40] Generated Node #2: [28, 48, 40] from Operation: 51-11=40 Current State: 60:[28, 48, 40], Operations: ['51-11=40'] Exploring Operation: 48-28=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 48-28=20 Current State: 60:[40, 20], Operations: ['51-11=40', '48-28=20'] Exploring Operation: 40+20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 59, 97, 25 ]
53
[ "42*59=2478", "97*25=2425", "2478-2425=53" ]
Current State: 53:[42, 59, 97, 25], Operations: [] Exploring Operation: 42*59=2478, Resulting Numbers: [97, 25, 2478] Generated Node #2: [97, 25, 2478] from Operation: 42*59=2478 Current State: 53:[97, 25, 2478], Operations: ['42*59=2478'] Exploring Operation: 97*25=2425, Resulting Numbers: [2478, 2425] Generated Node #3: [2478, 2425] from Operation: 97*25=2425 Current State: 53:[2478, 2425], Operations: ['42*59=2478', '97*25=2425'] Exploring Operation: 2478-2425=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 71, 61, 53 ]
33
[ "71-61=10", "2*10=20", "53-20=33" ]
Current State: 33:[2, 71, 61, 53], Operations: [] Exploring Operation: 71-61=10, Resulting Numbers: [2, 53, 10] Generated Node #2: [2, 53, 10] from Operation: 71-61=10 Current State: 33:[2, 53, 10], Operations: ['71-61=10'] Exploring Operation: 2*10=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 2*10=20 Current State: 33:[53, 20], Operations: ['71-61=10', '2*10=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 41, 9, 85, 89 ]
46
[ "41+9=50", "89-85=4", "50-4=46" ]
Current State: 46:[41, 9, 85, 89], Operations: [] Exploring Operation: 41+9=50, Resulting Numbers: [85, 89, 50] Generated Node #2: [85, 89, 50] from Operation: 41+9=50 Current State: 46:[85, 89, 50], Operations: ['41+9=50'] Exploring Operation: 89-85=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 89-85=4 Current State: 46:[50, 4], Operations: ['41+9=50', '89-85=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 53, 78, 5 ]
14
[ "53-45=8", "78-8=70", "70/5=14" ]
Current State: 14:[45, 53, 78, 5], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [78, 5, 8] Generated Node #2: [78, 5, 8] from Operation: 53-45=8 Current State: 14:[78, 5, 8], Operations: ['53-45=8'] Exploring Operation: 78-8=70, Resulting Numbers: [5, 70] Generated Node #3: [5, 70] from Operation: 78-8=70 Current State: 14:[5, 70], Operations: ['53-45=8', '78-8=70'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 11, 97, 35 ]
23
[ "97-95=2", "11+35=46", "46/2=23" ]
Current State: 23:[95, 11, 97, 35], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [11, 35, 2] Generated Node #2: [11, 35, 2] from Operation: 97-95=2 Current State: 23:[11, 35, 2], Operations: ['97-95=2'] Exploring Operation: 11+35=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 11+35=46 Current State: 23:[2, 46], Operations: ['97-95=2', '11+35=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 93, 53, 52, 86 ]
15
[ "93-86=7", "53+52=105", "105/7=15" ]
Current State: 15:[93, 53, 52, 86], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [53, 52, 7] Generated Node #2: [53, 52, 7] from Operation: 93-86=7 Current State: 15:[53, 52, 7], Operations: ['93-86=7'] Exploring Operation: 53+52=105, Resulting Numbers: [7, 105] Generated Node #3: [7, 105] from Operation: 53+52=105 Current State: 15:[7, 105], Operations: ['93-86=7', '53+52=105'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 83, 80, 25 ]
47
[ "19+83=102", "80-25=55", "102-55=47" ]
Current State: 47:[19, 83, 80, 25], Operations: [] Exploring Operation: 19+83=102, Resulting Numbers: [80, 25, 102] Generated Node #2: [80, 25, 102] from Operation: 19+83=102 Current State: 47:[80, 25, 102], Operations: ['19+83=102'] Exploring Operation: 80-25=55, Resulting Numbers: [102, 55] Generated Node #3: [102, 55] from Operation: 80-25=55 Current State: 47:[102, 55], Operations: ['19+83=102', '80-25=55'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 63, 60, 24, 21 ]
43
[ "24-21=3", "60/3=20", "63-20=43" ]
Current State: 43:[63, 60, 24, 21], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [63, 60, 3] Generated Node #2: [63, 60, 3] from Operation: 24-21=3 Current State: 43:[63, 60, 3], Operations: ['24-21=3'] Exploring Operation: 60/3=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 60/3=20 Current State: 43:[63, 20], Operations: ['24-21=3', '60/3=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 55, 71, 2 ]
31
[ "83-71=12", "2*12=24", "55-24=31" ]
Current State: 31:[83, 55, 71, 2], Operations: [] Exploring Operation: 83-71=12, Resulting Numbers: [55, 2, 12] Generated Node #2: [55, 2, 12] from Operation: 83-71=12 Current State: 31:[55, 2, 12], Operations: ['83-71=12'] Exploring Operation: 2*12=24, Resulting Numbers: [55, 24] Generated Node #3: [55, 24] from Operation: 2*12=24 Current State: 31:[55, 24], Operations: ['83-71=12', '2*12=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 10, 74, 21 ]
99
[ "56-10=46", "74-21=53", "46+53=99" ]
Current State: 99:[56, 10, 74, 21], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [74, 21, 46] Generated Node #2: [74, 21, 46] from Operation: 56-10=46 Current State: 99:[74, 21, 46], Operations: ['56-10=46'] Exploring Operation: 74-21=53, Resulting Numbers: [46, 53] Generated Node #3: [46, 53] from Operation: 74-21=53 Current State: 99:[46, 53], Operations: ['56-10=46', '74-21=53'] Exploring Operation: 46+53=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 81, 3, 31, 56 ]
60
[ "81/3=27", "31+56=87", "87-27=60" ]
Current State: 60:[81, 3, 31, 56], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [31, 56, 27] Generated Node #2: [31, 56, 27] from Operation: 81/3=27 Current State: 60:[31, 56, 27], Operations: ['81/3=27'] Exploring Operation: 31+56=87, Resulting Numbers: [27, 87] Generated Node #3: [27, 87] from Operation: 31+56=87 Current State: 60:[27, 87], Operations: ['81/3=27', '31+56=87'] Exploring Operation: 87-27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 93, 41, 24 ]
36
[ "93-74=19", "41-24=17", "19+17=36" ]
Current State: 36:[74, 93, 41, 24], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [41, 24, 19] Generated Node #2: [41, 24, 19] from Operation: 93-74=19 Current State: 36:[41, 24, 19], Operations: ['93-74=19'] Exploring Operation: 41-24=17, Resulting Numbers: [19, 17] Generated Node #3: [19, 17] from Operation: 41-24=17 Current State: 36:[19, 17], Operations: ['93-74=19', '41-24=17'] Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 81, 92, 3 ]
31
[ "68*3=204", "81+92=173", "204-173=31" ]
Current State: 31:[68, 81, 92, 3], Operations: [] Exploring Operation: 68*3=204, Resulting Numbers: [81, 92, 204] Generated Node #2: [81, 92, 204] from Operation: 68*3=204 Current State: 31:[81, 92, 204], Operations: ['68*3=204'] Exploring Operation: 81+92=173, Resulting Numbers: [204, 173] Generated Node #3: [204, 173] from Operation: 81+92=173 Current State: 31:[204, 173], Operations: ['68*3=204', '81+92=173'] Exploring Operation: 204-173=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 48, 6, 29, 27 ]
31
[ "48+6=54", "54/27=2", "29+2=31" ]
Current State: 31:[48, 6, 29, 27], Operations: [] Exploring Operation: 48+6=54, Resulting Numbers: [29, 27, 54] Generated Node #2: [29, 27, 54] from Operation: 48+6=54 Current State: 31:[29, 27, 54], Operations: ['48+6=54'] Exploring Operation: 54/27=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 54/27=2 Current State: 31:[29, 2], Operations: ['48+6=54', '54/27=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 97, 74, 38, 92 ]
41
[ "97+74=171", "38+92=130", "171-130=41" ]
Current State: 41:[97, 74, 38, 92], Operations: [] Exploring Operation: 97+74=171, Resulting Numbers: [38, 92, 171] Generated Node #2: [38, 92, 171] from Operation: 97+74=171 Current State: 41:[38, 92, 171], Operations: ['97+74=171'] Exploring Operation: 38+92=130, Resulting Numbers: [171, 130] Generated Node #3: [171, 130] from Operation: 38+92=130 Current State: 41:[171, 130], Operations: ['97+74=171', '38+92=130'] Exploring Operation: 171-130=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 19, 11, 48 ]
51
[ "52-19=33", "33/11=3", "48+3=51" ]
Current State: 51:[52, 19, 11, 48], Operations: [] Exploring Operation: 52-19=33, Resulting Numbers: [11, 48, 33] Generated Node #2: [11, 48, 33] from Operation: 52-19=33 Current State: 51:[11, 48, 33], Operations: ['52-19=33'] Exploring Operation: 33/11=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 33/11=3 Current State: 51:[48, 3], Operations: ['52-19=33', '33/11=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 67, 76, 41 ]
14
[ "88-67=21", "76-41=35", "35-21=14" ]
Current State: 14:[88, 67, 76, 41], Operations: [] Exploring Operation: 88-67=21, Resulting Numbers: [76, 41, 21] Generated Node #2: [76, 41, 21] from Operation: 88-67=21 Current State: 14:[76, 41, 21], Operations: ['88-67=21'] Exploring Operation: 76-41=35, Resulting Numbers: [21, 35] Generated Node #3: [21, 35] from Operation: 76-41=35 Current State: 14:[21, 35], Operations: ['88-67=21', '76-41=35'] Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 87, 95, 9, 91 ]
26
[ "91-87=4", "95+9=104", "104/4=26" ]
Current State: 26:[87, 95, 9, 91], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [95, 9, 4] Generated Node #2: [95, 9, 4] from Operation: 91-87=4 Current State: 26:[95, 9, 4], Operations: ['91-87=4'] Exploring Operation: 95+9=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 95+9=104 Current State: 26:[4, 104], Operations: ['91-87=4', '95+9=104'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 27, 15, 65 ]
18
[ "59-27=32", "65-15=50", "50-32=18" ]
Current State: 18:[59, 27, 15, 65], Operations: [] Exploring Operation: 59-27=32, Resulting Numbers: [15, 65, 32] Generated Node #2: [15, 65, 32] from Operation: 59-27=32 Current State: 18:[15, 65, 32], Operations: ['59-27=32'] Exploring Operation: 65-15=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 65-15=50 Current State: 18:[32, 50], Operations: ['59-27=32', '65-15=50'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 22, 54, 84, 40 ]
81
[ "40-22=18", "54/18=3", "84-3=81" ]
Current State: 81:[22, 54, 84, 40], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [54, 84, 18] Generated Node #2: [54, 84, 18] from Operation: 40-22=18 Current State: 81:[54, 84, 18], Operations: ['40-22=18'] Exploring Operation: 54/18=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 54/18=3 Current State: 81:[84, 3], Operations: ['40-22=18', '54/18=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 67, 2, 20 ]
75
[ "79-20=59", "67*2=134", "134-59=75" ]
Current State: 75:[79, 67, 2, 20], Operations: [] Exploring Operation: 79-20=59, Resulting Numbers: [67, 2, 59] Generated Node #2: [67, 2, 59] from Operation: 79-20=59 Current State: 75:[67, 2, 59], Operations: ['79-20=59'] Exploring Operation: 67*2=134, Resulting Numbers: [59, 134] Generated Node #3: [59, 134] from Operation: 67*2=134 Current State: 75:[59, 134], Operations: ['79-20=59', '67*2=134'] Exploring Operation: 134-59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 49, 55, 77, 58 ]
13
[ "55-49=6", "77-58=19", "19-6=13" ]
Current State: 13:[49, 55, 77, 58], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [77, 58, 6] Generated Node #2: [77, 58, 6] from Operation: 55-49=6 Current State: 13:[77, 58, 6], Operations: ['55-49=6'] Exploring Operation: 77-58=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 77-58=19 Current State: 13:[6, 19], Operations: ['55-49=6', '77-58=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 41, 10, 70, 20 ]
48
[ "20-10=10", "70/10=7", "41+7=48" ]
Current State: 48:[41, 10, 70, 20], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [41, 70, 10] Generated Node #2: [41, 70, 10] from Operation: 20-10=10 Current State: 48:[41, 70, 10], Operations: ['20-10=10'] Exploring Operation: 70/10=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 70/10=7 Current State: 48:[41, 7], Operations: ['20-10=10', '70/10=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4