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
[ 79, 24, 5, 29 ]
78
[ "24+5=29", "29/29=1", "79-1=78" ]
Current State: 78:[79, 24, 5, 29], Operations: [] Exploring Operation: 24+5=29, Resulting Numbers: [79, 29, 29] Generated Node #2: [79, 29, 29] from Operation: 24+5=29 Current State: 78:[79, 29, 29], Operations: ['24+5=29'] Exploring Operation: 29/29=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 29/29=1 Current State: 78:[79, 1], Operations: ['24+5=29', '29/29=1'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 13, 56, 64 ]
33
[ "38-13=25", "64-56=8", "25+8=33" ]
Current State: 33:[38, 13, 56, 64], Operations: [] Exploring Operation: 38-13=25, Resulting Numbers: [56, 64, 25] Generated Node #2: [56, 64, 25] from Operation: 38-13=25 Current State: 33:[56, 64, 25], Operations: ['38-13=25'] Exploring Operation: 64-56=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 64-56=8 Current State: 33:[25, 8], Operations: ['38-13=25', '64-56=8'] Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 86, 55, 2, 32 ]
50
[ "86*32=2752", "2752-2=2750", "2750/55=50" ]
Current State: 50:[86, 55, 2, 32], Operations: [] Exploring Operation: 86*32=2752, Resulting Numbers: [55, 2, 2752] Generated Node #2: [55, 2, 2752] from Operation: 86*32=2752 Current State: 50:[55, 2, 2752], Operations: ['86*32=2752'] Exploring Operation: 2752-2=2750, Resulting Numbers: [55, 2750] Generated Node #3: [55, 2750] from Operation: 2752-2=2750 Current State: 50:[55, 2750], Operations: ['86*32=2752', '2752-2=2750'] Exploring Operation: 2750/55=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 62, 73, 18, 55 ]
26
[ "73-62=11", "55-18=37", "37-11=26" ]
Current State: 26:[62, 73, 18, 55], Operations: [] Exploring Operation: 73-62=11, Resulting Numbers: [18, 55, 11] Generated Node #2: [18, 55, 11] from Operation: 73-62=11 Current State: 26:[18, 55, 11], Operations: ['73-62=11'] Exploring Operation: 55-18=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 55-18=37 Current State: 26:[11, 37], Operations: ['73-62=11', '55-18=37'] Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 19, 93, 29, 42 ]
99
[ "19+93=112", "42-29=13", "112-13=99" ]
Current State: 99:[19, 93, 29, 42], Operations: [] Exploring Operation: 19+93=112, Resulting Numbers: [29, 42, 112] Generated Node #2: [29, 42, 112] from Operation: 19+93=112 Current State: 99:[29, 42, 112], Operations: ['19+93=112'] Exploring Operation: 42-29=13, Resulting Numbers: [112, 13] Generated Node #3: [112, 13] from Operation: 42-29=13 Current State: 99:[112, 13], Operations: ['19+93=112', '42-29=13'] Exploring Operation: 112-13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 17, 60, 14, 84 ]
32
[ "17-14=3", "84/3=28", "60-28=32" ]
Current State: 32:[17, 60, 14, 84], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [60, 84, 3] Generated Node #2: [60, 84, 3] from Operation: 17-14=3 Current State: 32:[60, 84, 3], Operations: ['17-14=3'] Exploring Operation: 84/3=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 84/3=28 Current State: 32:[60, 28], Operations: ['17-14=3', '84/3=28'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 89, 76, 19, 66 ]
60
[ "89-76=13", "66-19=47", "13+47=60" ]
Current State: 60:[89, 76, 19, 66], Operations: [] Exploring Operation: 89-76=13, Resulting Numbers: [19, 66, 13] Generated Node #2: [19, 66, 13] from Operation: 89-76=13 Current State: 60:[19, 66, 13], Operations: ['89-76=13'] Exploring Operation: 66-19=47, Resulting Numbers: [13, 47] Generated Node #3: [13, 47] from Operation: 66-19=47 Current State: 60:[13, 47], Operations: ['89-76=13', '66-19=47'] Exploring Operation: 13+47=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 86, 94, 38, 2 ]
92
[ "94-86=8", "38+8=46", "2*46=92" ]
Current State: 92:[86, 94, 38, 2], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [38, 2, 8] Generated Node #2: [38, 2, 8] from Operation: 94-86=8 Current State: 92:[38, 2, 8], Operations: ['94-86=8'] Exploring Operation: 38+8=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 38+8=46 Current State: 92:[2, 46], Operations: ['94-86=8', '38+8=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 93, 35, 12, 70 ]
24
[ "93-35=58", "12+70=82", "82-58=24" ]
Current State: 24:[93, 35, 12, 70], Operations: [] Exploring Operation: 93-35=58, Resulting Numbers: [12, 70, 58] Generated Node #2: [12, 70, 58] from Operation: 93-35=58 Current State: 24:[12, 70, 58], Operations: ['93-35=58'] Exploring Operation: 12+70=82, Resulting Numbers: [58, 82] Generated Node #3: [58, 82] from Operation: 12+70=82 Current State: 24:[58, 82], Operations: ['93-35=58', '12+70=82'] Exploring Operation: 82-58=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 57, 75, 68, 53 ]
11
[ "57+75=132", "68+53=121", "132-121=11" ]
Current State: 11:[57, 75, 68, 53], Operations: [] Exploring Operation: 57+75=132, Resulting Numbers: [68, 53, 132] Generated Node #2: [68, 53, 132] from Operation: 57+75=132 Current State: 11:[68, 53, 132], Operations: ['57+75=132'] Exploring Operation: 68+53=121, Resulting Numbers: [132, 121] Generated Node #3: [132, 121] from Operation: 68+53=121 Current State: 11:[132, 121], Operations: ['57+75=132', '68+53=121'] Exploring Operation: 132-121=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 81, 65, 45, 85 ]
83
[ "45+85=130", "130/65=2", "81+2=83" ]
Current State: 83:[81, 65, 45, 85], Operations: [] Exploring Operation: 45+85=130, Resulting Numbers: [81, 65, 130] Generated Node #2: [81, 65, 130] from Operation: 45+85=130 Current State: 83:[81, 65, 130], Operations: ['45+85=130'] Exploring Operation: 130/65=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 130/65=2 Current State: 83:[81, 2], Operations: ['45+85=130', '130/65=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 68, 56, 48, 47 ]
43
[ "68-56=12", "48/12=4", "47-4=43" ]
Current State: 43:[68, 56, 48, 47], Operations: [] Exploring Operation: 68-56=12, Resulting Numbers: [48, 47, 12] Generated Node #2: [48, 47, 12] from Operation: 68-56=12 Current State: 43:[48, 47, 12], Operations: ['68-56=12'] Exploring Operation: 48/12=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 48/12=4 Current State: 43:[47, 4], Operations: ['68-56=12', '48/12=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 76, 34, 56, 9 ]
66
[ "34+56=90", "90/9=10", "76-10=66" ]
Current State: 66:[76, 34, 56, 9], Operations: [] Exploring Operation: 34+56=90, Resulting Numbers: [76, 9, 90] Generated Node #2: [76, 9, 90] from Operation: 34+56=90 Current State: 66:[76, 9, 90], Operations: ['34+56=90'] Exploring Operation: 90/9=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 90/9=10 Current State: 66:[76, 10], Operations: ['34+56=90', '90/9=10'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 19, 97, 54, 63 ]
39
[ "97-19=78", "54+63=117", "117-78=39" ]
Current State: 39:[19, 97, 54, 63], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [54, 63, 78] Generated Node #2: [54, 63, 78] from Operation: 97-19=78 Current State: 39:[54, 63, 78], Operations: ['97-19=78'] Exploring Operation: 54+63=117, Resulting Numbers: [78, 117] Generated Node #3: [78, 117] from Operation: 54+63=117 Current State: 39:[78, 117], Operations: ['97-19=78', '54+63=117'] Exploring Operation: 117-78=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 95, 92, 56 ]
99
[ "56-33=23", "92/23=4", "95+4=99" ]
Current State: 99:[33, 95, 92, 56], Operations: [] Exploring Operation: 56-33=23, Resulting Numbers: [95, 92, 23] Generated Node #2: [95, 92, 23] from Operation: 56-33=23 Current State: 99:[95, 92, 23], Operations: ['56-33=23'] Exploring Operation: 92/23=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 92/23=4 Current State: 99:[95, 4], Operations: ['56-33=23', '92/23=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 75, 62, 93 ]
100
[ "56+75=131", "93-62=31", "131-31=100" ]
Current State: 100:[56, 75, 62, 93], Operations: [] Exploring Operation: 56+75=131, Resulting Numbers: [62, 93, 131] Generated Node #2: [62, 93, 131] from Operation: 56+75=131 Current State: 100:[62, 93, 131], Operations: ['56+75=131'] Exploring Operation: 93-62=31, Resulting Numbers: [131, 31] Generated Node #3: [131, 31] from Operation: 93-62=31 Current State: 100:[131, 31], Operations: ['56+75=131', '93-62=31'] Exploring Operation: 131-31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 25, 2, 1, 43 ]
60
[ "25+1=26", "2*43=86", "86-26=60" ]
Current State: 60:[25, 2, 1, 43], Operations: [] Exploring Operation: 25+1=26, Resulting Numbers: [2, 43, 26] Generated Node #2: [2, 43, 26] from Operation: 25+1=26 Current State: 60:[2, 43, 26], Operations: ['25+1=26'] Exploring Operation: 2*43=86, Resulting Numbers: [26, 86] Generated Node #3: [26, 86] from Operation: 2*43=86 Current State: 60:[26, 86], Operations: ['25+1=26', '2*43=86'] Exploring Operation: 86-26=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 55, 78, 1 ]
97
[ "55-36=19", "78*1=78", "19+78=97" ]
Current State: 97:[36, 55, 78, 1], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [78, 1, 19] Generated Node #2: [78, 1, 19] from Operation: 55-36=19 Current State: 97:[78, 1, 19], Operations: ['55-36=19'] Exploring Operation: 78*1=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 78*1=78 Current State: 97:[19, 78], Operations: ['55-36=19', '78*1=78'] Exploring Operation: 19+78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 45, 91, 83, 50 ]
79
[ "91-45=46", "83-50=33", "46+33=79" ]
Current State: 79:[45, 91, 83, 50], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [83, 50, 46] Generated Node #2: [83, 50, 46] from Operation: 91-45=46 Current State: 79:[83, 50, 46], Operations: ['91-45=46'] Exploring Operation: 83-50=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 83-50=33 Current State: 79:[46, 33], Operations: ['91-45=46', '83-50=33'] Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 62, 6, 53 ]
96
[ "7+62=69", "69-53=16", "6*16=96" ]
Current State: 96:[7, 62, 6, 53], Operations: [] Exploring Operation: 7+62=69, Resulting Numbers: [6, 53, 69] Generated Node #2: [6, 53, 69] from Operation: 7+62=69 Current State: 96:[6, 53, 69], Operations: ['7+62=69'] Exploring Operation: 69-53=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 69-53=16 Current State: 96:[6, 16], Operations: ['7+62=69', '69-53=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 11, 60, 23 ]
20
[ "15+11=26", "26-23=3", "60/3=20" ]
Current State: 20:[15, 11, 60, 23], Operations: [] Exploring Operation: 15+11=26, Resulting Numbers: [60, 23, 26] Generated Node #2: [60, 23, 26] from Operation: 15+11=26 Current State: 20:[60, 23, 26], Operations: ['15+11=26'] Exploring Operation: 26-23=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 26-23=3 Current State: 20:[60, 3], Operations: ['15+11=26', '26-23=3'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 58, 45, 76 ]
47
[ "45+76=121", "121/11=11", "58-11=47" ]
Current State: 47:[11, 58, 45, 76], Operations: [] Exploring Operation: 45+76=121, Resulting Numbers: [11, 58, 121] Generated Node #2: [11, 58, 121] from Operation: 45+76=121 Current State: 47:[11, 58, 121], Operations: ['45+76=121'] Exploring Operation: 121/11=11, Resulting Numbers: [58, 11] Generated Node #3: [58, 11] from Operation: 121/11=11 Current State: 47:[58, 11], Operations: ['45+76=121', '121/11=11'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 17, 55, 56 ]
58
[ "40+17=57", "56-55=1", "57+1=58" ]
Current State: 58:[40, 17, 55, 56], Operations: [] Exploring Operation: 40+17=57, Resulting Numbers: [55, 56, 57] Generated Node #2: [55, 56, 57] from Operation: 40+17=57 Current State: 58:[55, 56, 57], Operations: ['40+17=57'] Exploring Operation: 56-55=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 56-55=1 Current State: 58:[57, 1], Operations: ['40+17=57', '56-55=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 2, 22, 88 ]
53
[ "9+88=97", "2*22=44", "97-44=53" ]
Current State: 53:[9, 2, 22, 88], Operations: [] Exploring Operation: 9+88=97, Resulting Numbers: [2, 22, 97] Generated Node #2: [2, 22, 97] from Operation: 9+88=97 Current State: 53:[2, 22, 97], Operations: ['9+88=97'] Exploring Operation: 2*22=44, Resulting Numbers: [97, 44] Generated Node #3: [97, 44] from Operation: 2*22=44 Current State: 53:[97, 44], Operations: ['9+88=97', '2*22=44'] Exploring Operation: 97-44=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 12, 68, 23 ]
98
[ "12-5=7", "68+23=91", "7+91=98" ]
Current State: 98:[5, 12, 68, 23], Operations: [] Exploring Operation: 12-5=7, Resulting Numbers: [68, 23, 7] Generated Node #2: [68, 23, 7] from Operation: 12-5=7 Current State: 98:[68, 23, 7], Operations: ['12-5=7'] Exploring Operation: 68+23=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 68+23=91 Current State: 98:[7, 91], Operations: ['12-5=7', '68+23=91'] Exploring Operation: 7+91=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 89, 99, 90, 94 ]
81
[ "94-89=5", "90/5=18", "99-18=81" ]
Current State: 81:[89, 99, 90, 94], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [99, 90, 5] Generated Node #2: [99, 90, 5] from Operation: 94-89=5 Current State: 81:[99, 90, 5], Operations: ['94-89=5'] Exploring Operation: 90/5=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 90/5=18 Current State: 81:[99, 18], Operations: ['94-89=5', '90/5=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 66, 32, 69 ]
26
[ "32*69=2208", "2208/24=92", "92-66=26" ]
Current State: 26:[24, 66, 32, 69], Operations: [] Exploring Operation: 32*69=2208, Resulting Numbers: [24, 66, 2208] Generated Node #2: [24, 66, 2208] from Operation: 32*69=2208 Current State: 26:[24, 66, 2208], Operations: ['32*69=2208'] Exploring Operation: 2208/24=92, Resulting Numbers: [66, 92] Generated Node #3: [66, 92] from Operation: 2208/24=92 Current State: 26:[66, 92], Operations: ['32*69=2208', '2208/24=92'] Exploring Operation: 92-66=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 96, 82, 90 ]
100
[ "12+96=108", "90-82=8", "108-8=100" ]
Current State: 100:[12, 96, 82, 90], Operations: [] Exploring Operation: 12+96=108, Resulting Numbers: [82, 90, 108] Generated Node #2: [82, 90, 108] from Operation: 12+96=108 Current State: 100:[82, 90, 108], Operations: ['12+96=108'] Exploring Operation: 90-82=8, Resulting Numbers: [108, 8] Generated Node #3: [108, 8] from Operation: 90-82=8 Current State: 100:[108, 8], Operations: ['12+96=108', '90-82=8'] Exploring Operation: 108-8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 85, 22, 56, 31 ]
37
[ "22*56=1232", "1232-85=1147", "1147/31=37" ]
Current State: 37:[85, 22, 56, 31], Operations: [] Exploring Operation: 22*56=1232, Resulting Numbers: [85, 31, 1232] Generated Node #2: [85, 31, 1232] from Operation: 22*56=1232 Current State: 37:[85, 31, 1232], Operations: ['22*56=1232'] Exploring Operation: 1232-85=1147, Resulting Numbers: [31, 1147] Generated Node #3: [31, 1147] from Operation: 1232-85=1147 Current State: 37:[31, 1147], Operations: ['22*56=1232', '1232-85=1147'] Exploring Operation: 1147/31=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 24, 26, 11 ]
36
[ "28+11=39", "24*39=936", "936/26=36" ]
Current State: 36:[28, 24, 26, 11], Operations: [] Exploring Operation: 28+11=39, Resulting Numbers: [24, 26, 39] Generated Node #2: [24, 26, 39] from Operation: 28+11=39 Current State: 36:[24, 26, 39], Operations: ['28+11=39'] Exploring Operation: 24*39=936, Resulting Numbers: [26, 936] Generated Node #3: [26, 936] from Operation: 24*39=936 Current State: 36:[26, 936], Operations: ['28+11=39', '24*39=936'] Exploring Operation: 936/26=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 45, 39, 25, 27 ]
82
[ "45+39=84", "27-25=2", "84-2=82" ]
Current State: 82:[45, 39, 25, 27], Operations: [] Exploring Operation: 45+39=84, Resulting Numbers: [25, 27, 84] Generated Node #2: [25, 27, 84] from Operation: 45+39=84 Current State: 82:[25, 27, 84], Operations: ['45+39=84'] Exploring Operation: 27-25=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 27-25=2 Current State: 82:[84, 2], Operations: ['45+39=84', '27-25=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 56, 9, 63, 59 ]
60
[ "59-56=3", "9/3=3", "63-3=60" ]
Current State: 60:[56, 9, 63, 59], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [9, 63, 3] Generated Node #2: [9, 63, 3] from Operation: 59-56=3 Current State: 60:[9, 63, 3], Operations: ['59-56=3'] Exploring Operation: 9/3=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 9/3=3 Current State: 60:[63, 3], Operations: ['59-56=3', '9/3=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 51, 60, 9 ]
39
[ "48+60=108", "108/9=12", "51-12=39" ]
Current State: 39:[48, 51, 60, 9], Operations: [] Exploring Operation: 48+60=108, Resulting Numbers: [51, 9, 108] Generated Node #2: [51, 9, 108] from Operation: 48+60=108 Current State: 39:[51, 9, 108], Operations: ['48+60=108'] Exploring Operation: 108/9=12, Resulting Numbers: [51, 12] Generated Node #3: [51, 12] from Operation: 108/9=12 Current State: 39:[51, 12], Operations: ['48+60=108', '108/9=12'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 12, 8, 27, 64 ]
43
[ "12-8=4", "64/4=16", "27+16=43" ]
Current State: 43:[12, 8, 27, 64], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [27, 64, 4] Generated Node #2: [27, 64, 4] from Operation: 12-8=4 Current State: 43:[27, 64, 4], Operations: ['12-8=4'] Exploring Operation: 64/4=16, Resulting Numbers: [27, 16] Generated Node #3: [27, 16] from Operation: 64/4=16 Current State: 43:[27, 16], Operations: ['12-8=4', '64/4=16'] Exploring Operation: 27+16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 30, 7, 73, 37 ]
42
[ "73-30=43", "43-37=6", "7*6=42" ]
Current State: 42:[30, 7, 73, 37], Operations: [] Exploring Operation: 73-30=43, Resulting Numbers: [7, 37, 43] Generated Node #2: [7, 37, 43] from Operation: 73-30=43 Current State: 42:[7, 37, 43], Operations: ['73-30=43'] Exploring Operation: 43-37=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 43-37=6 Current State: 42:[7, 6], Operations: ['73-30=43', '43-37=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 74, 66, 78 ]
26
[ "74-36=38", "78-66=12", "38-12=26" ]
Current State: 26:[36, 74, 66, 78], Operations: [] Exploring Operation: 74-36=38, Resulting Numbers: [66, 78, 38] Generated Node #2: [66, 78, 38] from Operation: 74-36=38 Current State: 26:[66, 78, 38], Operations: ['74-36=38'] Exploring Operation: 78-66=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 78-66=12 Current State: 26:[38, 12], Operations: ['74-36=38', '78-66=12'] Exploring Operation: 38-12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 85, 78, 83 ]
51
[ "3*85=255", "83-78=5", "255/5=51" ]
Current State: 51:[3, 85, 78, 83], Operations: [] Exploring Operation: 3*85=255, Resulting Numbers: [78, 83, 255] Generated Node #2: [78, 83, 255] from Operation: 3*85=255 Current State: 51:[78, 83, 255], Operations: ['3*85=255'] Exploring Operation: 83-78=5, Resulting Numbers: [255, 5] Generated Node #3: [255, 5] from Operation: 83-78=5 Current State: 51:[255, 5], Operations: ['3*85=255', '83-78=5'] Exploring Operation: 255/5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 75, 49, 77 ]
50
[ "2+75=77", "77/77=1", "49+1=50" ]
Current State: 50:[2, 75, 49, 77], Operations: [] Exploring Operation: 2+75=77, Resulting Numbers: [49, 77, 77] Generated Node #2: [49, 77, 77] from Operation: 2+75=77 Current State: 50:[49, 77, 77], Operations: ['2+75=77'] Exploring Operation: 77/77=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 77/77=1 Current State: 50:[49, 1], Operations: ['2+75=77', '77/77=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 27, 90, 39 ]
82
[ "90*39=3510", "3510/27=130", "130-48=82" ]
Current State: 82:[48, 27, 90, 39], Operations: [] Exploring Operation: 90*39=3510, Resulting Numbers: [48, 27, 3510] Generated Node #2: [48, 27, 3510] from Operation: 90*39=3510 Current State: 82:[48, 27, 3510], Operations: ['90*39=3510'] Exploring Operation: 3510/27=130, Resulting Numbers: [48, 130] Generated Node #3: [48, 130] from Operation: 3510/27=130 Current State: 82:[48, 130], Operations: ['90*39=3510', '3510/27=130'] Exploring Operation: 130-48=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 17, 73, 27 ]
33
[ "84-17=67", "73+27=100", "100-67=33" ]
Current State: 33:[84, 17, 73, 27], Operations: [] Exploring Operation: 84-17=67, Resulting Numbers: [73, 27, 67] Generated Node #2: [73, 27, 67] from Operation: 84-17=67 Current State: 33:[73, 27, 67], Operations: ['84-17=67'] Exploring Operation: 73+27=100, Resulting Numbers: [67, 100] Generated Node #3: [67, 100] from Operation: 73+27=100 Current State: 33:[67, 100], Operations: ['84-17=67', '73+27=100'] Exploring Operation: 100-67=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 33, 2, 54, 27 ]
50
[ "33-2=31", "54+27=81", "81-31=50" ]
Current State: 50:[33, 2, 54, 27], Operations: [] Exploring Operation: 33-2=31, Resulting Numbers: [54, 27, 31] Generated Node #2: [54, 27, 31] from Operation: 33-2=31 Current State: 50:[54, 27, 31], Operations: ['33-2=31'] Exploring Operation: 54+27=81, Resulting Numbers: [31, 81] Generated Node #3: [31, 81] from Operation: 54+27=81 Current State: 50:[31, 81], Operations: ['33-2=31', '54+27=81'] Exploring Operation: 81-31=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 6, 38, 26 ]
36
[ "30-6=24", "38-26=12", "24+12=36" ]
Current State: 36:[30, 6, 38, 26], Operations: [] Exploring Operation: 30-6=24, Resulting Numbers: [38, 26, 24] Generated Node #2: [38, 26, 24] from Operation: 30-6=24 Current State: 36:[38, 26, 24], Operations: ['30-6=24'] Exploring Operation: 38-26=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 38-26=12 Current State: 36:[24, 12], Operations: ['30-6=24', '38-26=12'] Exploring Operation: 24+12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 64, 73, 55, 4 ]
78
[ "64+73=137", "55+4=59", "137-59=78" ]
Current State: 78:[64, 73, 55, 4], Operations: [] Exploring Operation: 64+73=137, Resulting Numbers: [55, 4, 137] Generated Node #2: [55, 4, 137] from Operation: 64+73=137 Current State: 78:[55, 4, 137], Operations: ['64+73=137'] Exploring Operation: 55+4=59, Resulting Numbers: [137, 59] Generated Node #3: [137, 59] from Operation: 55+4=59 Current State: 78:[137, 59], Operations: ['64+73=137', '55+4=59'] Exploring Operation: 137-59=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 71, 9, 14, 12 ]
54
[ "71+9=80", "14+12=26", "80-26=54" ]
Current State: 54:[71, 9, 14, 12], Operations: [] Exploring Operation: 71+9=80, Resulting Numbers: [14, 12, 80] Generated Node #2: [14, 12, 80] from Operation: 71+9=80 Current State: 54:[14, 12, 80], Operations: ['71+9=80'] Exploring Operation: 14+12=26, Resulting Numbers: [80, 26] Generated Node #3: [80, 26] from Operation: 14+12=26 Current State: 54:[80, 26], Operations: ['71+9=80', '14+12=26'] Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 80, 83, 61, 3 ]
67
[ "83-80=3", "61+3=64", "3+64=67" ]
Current State: 67:[80, 83, 61, 3], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [61, 3, 3] Generated Node #2: [61, 3, 3] from Operation: 83-80=3 Current State: 67:[61, 3, 3], Operations: ['83-80=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,67 equal: Goal Reached Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 93, 75, 6 ]
49
[ "37+93=130", "75+6=81", "130-81=49" ]
Current State: 49:[37, 93, 75, 6], Operations: [] Exploring Operation: 37+93=130, Resulting Numbers: [75, 6, 130] Generated Node #2: [75, 6, 130] from Operation: 37+93=130 Current State: 49:[75, 6, 130], Operations: ['37+93=130'] Exploring Operation: 75+6=81, Resulting Numbers: [130, 81] Generated Node #3: [130, 81] from Operation: 75+6=81 Current State: 49:[130, 81], Operations: ['37+93=130', '75+6=81'] Exploring Operation: 130-81=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 64, 30, 43 ]
93
[ "64-44=20", "30+43=73", "20+73=93" ]
Current State: 93:[44, 64, 30, 43], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [30, 43, 20] Generated Node #2: [30, 43, 20] from Operation: 64-44=20 Current State: 93:[30, 43, 20], Operations: ['64-44=20'] Exploring Operation: 30+43=73, Resulting Numbers: [20, 73] Generated Node #3: [20, 73] from Operation: 30+43=73 Current State: 93:[20, 73], Operations: ['64-44=20', '30+43=73'] Exploring Operation: 20+73=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 86, 93, 48 ]
10
[ "65+86=151", "93+48=141", "151-141=10" ]
Current State: 10:[65, 86, 93, 48], Operations: [] Exploring Operation: 65+86=151, Resulting Numbers: [93, 48, 151] Generated Node #2: [93, 48, 151] from Operation: 65+86=151 Current State: 10:[93, 48, 151], Operations: ['65+86=151'] Exploring Operation: 93+48=141, Resulting Numbers: [151, 141] Generated Node #3: [151, 141] from Operation: 93+48=141 Current State: 10:[151, 141], Operations: ['65+86=151', '93+48=141'] Exploring Operation: 151-141=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 68, 97, 63, 73 ]
32
[ "73-68=5", "97+63=160", "160/5=32" ]
Current State: 32:[68, 97, 63, 73], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [97, 63, 5] Generated Node #2: [97, 63, 5] from Operation: 73-68=5 Current State: 32:[97, 63, 5], Operations: ['73-68=5'] Exploring Operation: 97+63=160, Resulting Numbers: [5, 160] Generated Node #3: [5, 160] from Operation: 97+63=160 Current State: 32:[5, 160], Operations: ['73-68=5', '97+63=160'] Exploring Operation: 160/5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 86, 76, 99 ]
28
[ "76*99=7524", "7524/66=114", "114-86=28" ]
Current State: 28:[66, 86, 76, 99], Operations: [] Exploring Operation: 76*99=7524, Resulting Numbers: [66, 86, 7524] Generated Node #2: [66, 86, 7524] from Operation: 76*99=7524 Current State: 28:[66, 86, 7524], Operations: ['76*99=7524'] Exploring Operation: 7524/66=114, Resulting Numbers: [86, 114] Generated Node #3: [86, 114] from Operation: 7524/66=114 Current State: 28:[86, 114], Operations: ['76*99=7524', '7524/66=114'] Exploring Operation: 114-86=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 81, 9, 2, 23 ]
63
[ "9*23=207", "207-81=126", "126/2=63" ]
Current State: 63:[81, 9, 2, 23], Operations: [] Exploring Operation: 9*23=207, Resulting Numbers: [81, 2, 207] Generated Node #2: [81, 2, 207] from Operation: 9*23=207 Current State: 63:[81, 2, 207], Operations: ['9*23=207'] Exploring Operation: 207-81=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 207-81=126 Current State: 63:[2, 126], Operations: ['9*23=207', '207-81=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 50, 67, 82, 61 ]
26
[ "50+67=117", "82+61=143", "143-117=26" ]
Current State: 26:[50, 67, 82, 61], Operations: [] Exploring Operation: 50+67=117, Resulting Numbers: [82, 61, 117] Generated Node #2: [82, 61, 117] from Operation: 50+67=117 Current State: 26:[82, 61, 117], Operations: ['50+67=117'] Exploring Operation: 82+61=143, Resulting Numbers: [117, 143] Generated Node #3: [117, 143] from Operation: 82+61=143 Current State: 26:[117, 143], Operations: ['50+67=117', '82+61=143'] Exploring Operation: 143-117=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 11, 39, 3, 31 ]
99
[ "31-11=20", "3*20=60", "39+60=99" ]
Current State: 99:[11, 39, 3, 31], Operations: [] Exploring Operation: 31-11=20, Resulting Numbers: [39, 3, 20] Generated Node #2: [39, 3, 20] from Operation: 31-11=20 Current State: 99:[39, 3, 20], Operations: ['31-11=20'] Exploring Operation: 3*20=60, Resulting Numbers: [39, 60] Generated Node #3: [39, 60] from Operation: 3*20=60 Current State: 99:[39, 60], Operations: ['31-11=20', '3*20=60'] Exploring Operation: 39+60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 89, 60, 3, 81 ]
26
[ "81-60=21", "3*21=63", "89-63=26" ]
Current State: 26:[89, 60, 3, 81], Operations: [] Exploring Operation: 81-60=21, Resulting Numbers: [89, 3, 21] Generated Node #2: [89, 3, 21] from Operation: 81-60=21 Current State: 26:[89, 3, 21], Operations: ['81-60=21'] Exploring Operation: 3*21=63, Resulting Numbers: [89, 63] Generated Node #3: [89, 63] from Operation: 3*21=63 Current State: 26:[89, 63], Operations: ['81-60=21', '3*21=63'] Exploring Operation: 89-63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 44, 56, 80, 66 ]
40
[ "80-66=14", "56/14=4", "44-4=40" ]
Current State: 40:[44, 56, 80, 66], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [44, 56, 14] Generated Node #2: [44, 56, 14] from Operation: 80-66=14 Current State: 40:[44, 56, 14], Operations: ['80-66=14'] Exploring Operation: 56/14=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 56/14=4 Current State: 40:[44, 4], Operations: ['80-66=14', '56/14=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 97, 78, 62 ]
83
[ "78+62=140", "140/10=14", "97-14=83" ]
Current State: 83:[10, 97, 78, 62], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [10, 97, 140] Generated Node #2: [10, 97, 140] from Operation: 78+62=140 Current State: 83:[10, 97, 140], Operations: ['78+62=140'] Exploring Operation: 140/10=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 140/10=14 Current State: 83:[97, 14], Operations: ['78+62=140', '140/10=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 92, 56, 89, 29 ]
30
[ "92+56=148", "89+29=118", "148-118=30" ]
Current State: 30:[92, 56, 89, 29], Operations: [] Exploring Operation: 92+56=148, Resulting Numbers: [89, 29, 148] Generated Node #2: [89, 29, 148] from Operation: 92+56=148 Current State: 30:[89, 29, 148], Operations: ['92+56=148'] Exploring Operation: 89+29=118, Resulting Numbers: [148, 118] Generated Node #3: [148, 118] from Operation: 89+29=118 Current State: 30:[148, 118], Operations: ['92+56=148', '89+29=118'] Exploring Operation: 148-118=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 32, 34, 36, 66 ]
64
[ "32+36=68", "68/34=2", "66-2=64" ]
Current State: 64:[32, 34, 36, 66], Operations: [] Exploring Operation: 32+36=68, Resulting Numbers: [34, 66, 68] Generated Node #2: [34, 66, 68] from Operation: 32+36=68 Current State: 64:[34, 66, 68], Operations: ['32+36=68'] Exploring Operation: 68/34=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 68/34=2 Current State: 64:[66, 2], Operations: ['32+36=68', '68/34=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 39, 20, 15 ]
68
[ "39-6=33", "20+15=35", "33+35=68" ]
Current State: 68:[6, 39, 20, 15], Operations: [] Exploring Operation: 39-6=33, Resulting Numbers: [20, 15, 33] Generated Node #2: [20, 15, 33] from Operation: 39-6=33 Current State: 68:[20, 15, 33], Operations: ['39-6=33'] Exploring Operation: 20+15=35, Resulting Numbers: [33, 35] Generated Node #3: [33, 35] from Operation: 20+15=35 Current State: 68:[33, 35], Operations: ['39-6=33', '20+15=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 95, 76, 53, 37 ]
71
[ "95-76=19", "53+37=90", "90-19=71" ]
Current State: 71:[95, 76, 53, 37], Operations: [] Exploring Operation: 95-76=19, Resulting Numbers: [53, 37, 19] Generated Node #2: [53, 37, 19] from Operation: 95-76=19 Current State: 71:[53, 37, 19], Operations: ['95-76=19'] Exploring Operation: 53+37=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 53+37=90 Current State: 71:[19, 90], Operations: ['95-76=19', '53+37=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 9, 3, 37 ]
44
[ "9-5=4", "3+37=40", "4+40=44" ]
Current State: 44:[5, 9, 3, 37], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [3, 37, 4] Generated Node #2: [3, 37, 4] from Operation: 9-5=4 Current State: 44:[3, 37, 4], Operations: ['9-5=4'] Exploring Operation: 3+37=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 3+37=40 Current State: 44:[4, 40], Operations: ['9-5=4', '3+37=40'] Exploring Operation: 4+40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 64, 48, 32 ]
62
[ "32-8=24", "48/24=2", "64-2=62" ]
Current State: 62:[8, 64, 48, 32], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [64, 48, 24] Generated Node #2: [64, 48, 24] from Operation: 32-8=24 Current State: 62:[64, 48, 24], Operations: ['32-8=24'] Exploring Operation: 48/24=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 48/24=2 Current State: 62:[64, 2], Operations: ['32-8=24', '48/24=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 65, 38, 26, 30 ]
50
[ "26*30=780", "780/65=12", "38+12=50" ]
Current State: 50:[65, 38, 26, 30], Operations: [] Exploring Operation: 26*30=780, Resulting Numbers: [65, 38, 780] Generated Node #2: [65, 38, 780] from Operation: 26*30=780 Current State: 50:[65, 38, 780], Operations: ['26*30=780'] Exploring Operation: 780/65=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 780/65=12 Current State: 50:[38, 12], Operations: ['26*30=780', '780/65=12'] Exploring Operation: 38+12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 38, 66, 22, 56 ]
15
[ "56-38=18", "66/22=3", "18-3=15" ]
Current State: 15:[38, 66, 22, 56], Operations: [] Exploring Operation: 56-38=18, Resulting Numbers: [66, 22, 18] Generated Node #2: [66, 22, 18] from Operation: 56-38=18 Current State: 15:[66, 22, 18], Operations: ['56-38=18'] Exploring Operation: 66/22=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 66/22=3 Current State: 15:[18, 3], Operations: ['56-38=18', '66/22=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 5, 70, 7, 8 ]
23
[ "5+8=13", "70/7=10", "13+10=23" ]
Current State: 23:[5, 70, 7, 8], Operations: [] Exploring Operation: 5+8=13, Resulting Numbers: [70, 7, 13] Generated Node #2: [70, 7, 13] from Operation: 5+8=13 Current State: 23:[70, 7, 13], Operations: ['5+8=13'] Exploring Operation: 70/7=10, Resulting Numbers: [13, 10] Generated Node #3: [13, 10] from Operation: 70/7=10 Current State: 23:[13, 10], Operations: ['5+8=13', '70/7=10'] Exploring Operation: 13+10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 51, 74, 5, 57 ]
75
[ "74-51=23", "57-5=52", "23+52=75" ]
Current State: 75:[51, 74, 5, 57], Operations: [] Exploring Operation: 74-51=23, Resulting Numbers: [5, 57, 23] Generated Node #2: [5, 57, 23] from Operation: 74-51=23 Current State: 75:[5, 57, 23], Operations: ['74-51=23'] Exploring Operation: 57-5=52, Resulting Numbers: [23, 52] Generated Node #3: [23, 52] from Operation: 57-5=52 Current State: 75:[23, 52], Operations: ['74-51=23', '57-5=52'] Exploring Operation: 23+52=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 1, 16, 56 ]
54
[ "8*1=8", "16/8=2", "56-2=54" ]
Current State: 54:[8, 1, 16, 56], Operations: [] Exploring Operation: 8*1=8, Resulting Numbers: [16, 56, 8] Generated Node #2: [16, 56, 8] from Operation: 8*1=8 Current State: 54:[16, 56, 8], Operations: ['8*1=8'] Exploring Operation: 16/8=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 16/8=2 Current State: 54:[56, 2], Operations: ['8*1=8', '16/8=2'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 95, 97, 38 ]
42
[ "6+95=101", "97-38=59", "101-59=42" ]
Current State: 42:[6, 95, 97, 38], Operations: [] Exploring Operation: 6+95=101, Resulting Numbers: [97, 38, 101] Generated Node #2: [97, 38, 101] from Operation: 6+95=101 Current State: 42:[97, 38, 101], Operations: ['6+95=101'] Exploring Operation: 97-38=59, Resulting Numbers: [101, 59] Generated Node #3: [101, 59] from Operation: 97-38=59 Current State: 42:[101, 59], Operations: ['6+95=101', '97-38=59'] Exploring Operation: 101-59=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 91, 31, 50 ]
37
[ "31-24=7", "91/7=13", "50-13=37" ]
Current State: 37:[24, 91, 31, 50], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [91, 50, 7] Generated Node #2: [91, 50, 7] from Operation: 31-24=7 Current State: 37:[91, 50, 7], Operations: ['31-24=7'] Exploring Operation: 91/7=13, Resulting Numbers: [50, 13] Generated Node #3: [50, 13] from Operation: 91/7=13 Current State: 37:[50, 13], Operations: ['31-24=7', '91/7=13'] Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 15, 80, 89 ]
78
[ "72+15=87", "89-80=9", "87-9=78" ]
Current State: 78:[72, 15, 80, 89], Operations: [] Exploring Operation: 72+15=87, Resulting Numbers: [80, 89, 87] Generated Node #2: [80, 89, 87] from Operation: 72+15=87 Current State: 78:[80, 89, 87], Operations: ['72+15=87'] Exploring Operation: 89-80=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 89-80=9 Current State: 78:[87, 9], Operations: ['72+15=87', '89-80=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 8, 13, 28 ]
32
[ "72/8=9", "13+28=41", "41-9=32" ]
Current State: 32:[72, 8, 13, 28], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [13, 28, 9] Generated Node #2: [13, 28, 9] from Operation: 72/8=9 Current State: 32:[13, 28, 9], Operations: ['72/8=9'] Exploring Operation: 13+28=41, Resulting Numbers: [9, 41] Generated Node #3: [9, 41] from Operation: 13+28=41 Current State: 32:[9, 41], Operations: ['72/8=9', '13+28=41'] Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 33, 38, 22, 82 ]
35
[ "82-38=44", "44/22=2", "33+2=35" ]
Current State: 35:[33, 38, 22, 82], Operations: [] Exploring Operation: 82-38=44, Resulting Numbers: [33, 22, 44] Generated Node #2: [33, 22, 44] from Operation: 82-38=44 Current State: 35:[33, 22, 44], Operations: ['82-38=44'] Exploring Operation: 44/22=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 44/22=2 Current State: 35:[33, 2], Operations: ['82-38=44', '44/22=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 98, 10, 69 ]
45
[ "98/7=14", "69-10=59", "59-14=45" ]
Current State: 45:[7, 98, 10, 69], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [10, 69, 14] Generated Node #2: [10, 69, 14] from Operation: 98/7=14 Current State: 45:[10, 69, 14], Operations: ['98/7=14'] Exploring Operation: 69-10=59, Resulting Numbers: [14, 59] Generated Node #3: [14, 59] from Operation: 69-10=59 Current State: 45:[14, 59], Operations: ['98/7=14', '69-10=59'] Exploring Operation: 59-14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 14, 65, 3, 30 ]
39
[ "65-14=51", "3*30=90", "90-51=39" ]
Current State: 39:[14, 65, 3, 30], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [3, 30, 51] Generated Node #2: [3, 30, 51] from Operation: 65-14=51 Current State: 39:[3, 30, 51], Operations: ['65-14=51'] Exploring Operation: 3*30=90, Resulting Numbers: [51, 90] Generated Node #3: [51, 90] from Operation: 3*30=90 Current State: 39:[51, 90], Operations: ['65-14=51', '3*30=90'] Exploring Operation: 90-51=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 39, 25, 31, 30 ]
54
[ "39-30=9", "31-25=6", "9*6=54" ]
Current State: 54:[39, 25, 31, 30], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [25, 31, 9] Generated Node #2: [25, 31, 9] from Operation: 39-30=9 Current State: 54:[25, 31, 9], Operations: ['39-30=9'] Exploring Operation: 31-25=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 31-25=6 Current State: 54:[9, 6], Operations: ['39-30=9', '31-25=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 2, 73, 17, 33 ]
27
[ "17+33=50", "2*50=100", "100-73=27" ]
Current State: 27:[2, 73, 17, 33], Operations: [] Exploring Operation: 17+33=50, Resulting Numbers: [2, 73, 50] Generated Node #2: [2, 73, 50] from Operation: 17+33=50 Current State: 27:[2, 73, 50], Operations: ['17+33=50'] Exploring Operation: 2*50=100, Resulting Numbers: [73, 100] Generated Node #3: [73, 100] from Operation: 2*50=100 Current State: 27:[73, 100], Operations: ['17+33=50', '2*50=100'] Exploring Operation: 100-73=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 75, 46, 72 ]
73
[ "75-28=47", "72-46=26", "47+26=73" ]
Current State: 73:[28, 75, 46, 72], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [46, 72, 47] Generated Node #2: [46, 72, 47] from Operation: 75-28=47 Current State: 73:[46, 72, 47], Operations: ['75-28=47'] Exploring Operation: 72-46=26, Resulting Numbers: [47, 26] Generated Node #3: [47, 26] from Operation: 72-46=26 Current State: 73:[47, 26], Operations: ['75-28=47', '72-46=26'] Exploring Operation: 47+26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 50, 81, 69 ]
33
[ "69-50=19", "6*19=114", "114-81=33" ]
Current State: 33:[6, 50, 81, 69], Operations: [] Exploring Operation: 69-50=19, Resulting Numbers: [6, 81, 19] Generated Node #2: [6, 81, 19] from Operation: 69-50=19 Current State: 33:[6, 81, 19], Operations: ['69-50=19'] Exploring Operation: 6*19=114, Resulting Numbers: [81, 114] Generated Node #3: [81, 114] from Operation: 6*19=114 Current State: 33:[81, 114], Operations: ['69-50=19', '6*19=114'] Exploring Operation: 114-81=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 56, 36, 31 ]
43
[ "56-18=38", "36-31=5", "38+5=43" ]
Current State: 43:[18, 56, 36, 31], Operations: [] Exploring Operation: 56-18=38, Resulting Numbers: [36, 31, 38] Generated Node #2: [36, 31, 38] from Operation: 56-18=38 Current State: 43:[36, 31, 38], Operations: ['56-18=38'] Exploring Operation: 36-31=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 36-31=5 Current State: 43:[38, 5], Operations: ['56-18=38', '36-31=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 87, 87, 96, 75 ]
22
[ "87/87=1", "96-75=21", "1+21=22" ]
Current State: 22:[87, 87, 96, 75], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [96, 75, 1] Generated Node #2: [96, 75, 1] from Operation: 87/87=1 Current State: 22:[96, 75, 1], Operations: ['87/87=1'] Exploring Operation: 96-75=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 96-75=21 Current State: 22:[1, 21], Operations: ['87/87=1', '96-75=21'] Exploring Operation: 1+21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 5, 71, 25 ]
96
[ "20+71=91", "25/5=5", "91+5=96" ]
Current State: 96:[20, 5, 71, 25], Operations: [] Exploring Operation: 20+71=91, Resulting Numbers: [5, 25, 91] Generated Node #2: [5, 25, 91] from Operation: 20+71=91 Current State: 96:[5, 25, 91], Operations: ['20+71=91'] Exploring Operation: 25/5=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 25/5=5 Current State: 96:[91, 5], Operations: ['20+71=91', '25/5=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 45, 28, 2, 7 ]
90
[ "45*28=1260", "2*7=14", "1260/14=90" ]
Current State: 90:[45, 28, 2, 7], Operations: [] Exploring Operation: 45*28=1260, Resulting Numbers: [2, 7, 1260] Generated Node #2: [2, 7, 1260] from Operation: 45*28=1260 Current State: 90:[2, 7, 1260], Operations: ['45*28=1260'] Exploring Operation: 2*7=14, Resulting Numbers: [1260, 14] Generated Node #3: [1260, 14] from Operation: 2*7=14 Current State: 90:[1260, 14], Operations: ['45*28=1260', '2*7=14'] Exploring Operation: 1260/14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 85, 1, 17 ]
34
[ "85/85=1", "1+1=2", "17*2=34" ]
Current State: 34:[85, 85, 1, 17], Operations: [] Exploring Operation: 85/85=1, Resulting Numbers: [1, 17, 1] Generated Node #2: [1, 17, 1] from Operation: 85/85=1 Current State: 34:[1, 17, 1], Operations: ['85/85=1'] Exploring Operation: 1+1=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 1+1=2 Current State: 34:[17, 2], Operations: ['85/85=1', '1+1=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 96, 53, 2, 82 ]
92
[ "96-82=14", "53*2=106", "106-14=92" ]
Current State: 92:[96, 53, 2, 82], Operations: [] Exploring Operation: 96-82=14, Resulting Numbers: [53, 2, 14] Generated Node #2: [53, 2, 14] from Operation: 96-82=14 Current State: 92:[53, 2, 14], Operations: ['96-82=14'] Exploring Operation: 53*2=106, Resulting Numbers: [14, 106] Generated Node #3: [14, 106] from Operation: 53*2=106 Current State: 92:[14, 106], Operations: ['96-82=14', '53*2=106'] Exploring Operation: 106-14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 87, 98, 71, 50 ]
32
[ "98-87=11", "71-50=21", "11+21=32" ]
Current State: 32:[87, 98, 71, 50], Operations: [] Exploring Operation: 98-87=11, Resulting Numbers: [71, 50, 11] Generated Node #2: [71, 50, 11] from Operation: 98-87=11 Current State: 32:[71, 50, 11], Operations: ['98-87=11'] Exploring Operation: 71-50=21, Resulting Numbers: [11, 21] Generated Node #3: [11, 21] from Operation: 71-50=21 Current State: 32:[11, 21], Operations: ['98-87=11', '71-50=21'] Exploring Operation: 11+21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 54, 76, 97 ]
100
[ "76-58=18", "54/18=3", "97+3=100" ]
Current State: 100:[58, 54, 76, 97], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [54, 97, 18] Generated Node #2: [54, 97, 18] from Operation: 76-58=18 Current State: 100:[54, 97, 18], Operations: ['76-58=18'] Exploring Operation: 54/18=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 54/18=3 Current State: 100:[97, 3], Operations: ['76-58=18', '54/18=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 16, 69, 17 ]
83
[ "14+69=83", "17-16=1", "83*1=83" ]
Current State: 83:[14, 16, 69, 17], Operations: [] Exploring Operation: 14+69=83, Resulting Numbers: [16, 17, 83] Generated Node #2: [16, 17, 83] from Operation: 14+69=83 Current State: 83:[16, 17, 83], Operations: ['14+69=83'] Exploring Operation: 17-16=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 17-16=1 Current State: 83:[83, 1], Operations: ['14+69=83', '17-16=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 50, 77, 47 ]
34
[ "25+77=102", "50-47=3", "102/3=34" ]
Current State: 34:[25, 50, 77, 47], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [50, 47, 102] Generated Node #2: [50, 47, 102] from Operation: 25+77=102 Current State: 34:[50, 47, 102], Operations: ['25+77=102'] Exploring Operation: 50-47=3, Resulting Numbers: [102, 3] Generated Node #3: [102, 3] from Operation: 50-47=3 Current State: 34:[102, 3], Operations: ['25+77=102', '50-47=3'] Exploring Operation: 102/3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 85, 33, 17, 68 ]
13
[ "85-33=52", "68/17=4", "52/4=13" ]
Current State: 13:[85, 33, 17, 68], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [17, 68, 52] Generated Node #2: [17, 68, 52] from Operation: 85-33=52 Current State: 13:[17, 68, 52], Operations: ['85-33=52'] Exploring Operation: 68/17=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 68/17=4 Current State: 13:[52, 4], Operations: ['85-33=52', '68/17=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 59, 56, 48 ]
17
[ "3+48=51", "59-56=3", "51/3=17" ]
Current State: 17:[3, 59, 56, 48], Operations: [] Exploring Operation: 3+48=51, Resulting Numbers: [59, 56, 51] Generated Node #2: [59, 56, 51] from Operation: 3+48=51 Current State: 17:[59, 56, 51], Operations: ['3+48=51'] Exploring Operation: 59-56=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 59-56=3 Current State: 17:[51, 3], Operations: ['3+48=51', '59-56=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 21, 86, 79 ]
77
[ "86+79=165", "21*165=3465", "3465/45=77" ]
Current State: 77:[45, 21, 86, 79], Operations: [] Exploring Operation: 86+79=165, Resulting Numbers: [45, 21, 165] Generated Node #2: [45, 21, 165] from Operation: 86+79=165 Current State: 77:[45, 21, 165], Operations: ['86+79=165'] Exploring Operation: 21*165=3465, Resulting Numbers: [45, 3465] Generated Node #3: [45, 3465] from Operation: 21*165=3465 Current State: 77:[45, 3465], Operations: ['86+79=165', '21*165=3465'] Exploring Operation: 3465/45=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 43, 73, 45, 28 ]
59
[ "45-43=2", "28/2=14", "73-14=59" ]
Current State: 59:[43, 73, 45, 28], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [73, 28, 2] Generated Node #2: [73, 28, 2] from Operation: 45-43=2 Current State: 59:[73, 28, 2], Operations: ['45-43=2'] Exploring Operation: 28/2=14, Resulting Numbers: [73, 14] Generated Node #3: [73, 14] from Operation: 28/2=14 Current State: 59:[73, 14], Operations: ['45-43=2', '28/2=14'] Exploring Operation: 73-14=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 42, 17, 72 ]
72
[ "42-26=16", "17-16=1", "72*1=72" ]
Current State: 72:[26, 42, 17, 72], Operations: [] Exploring Operation: 42-26=16, Resulting Numbers: [17, 72, 16] Generated Node #2: [17, 72, 16] from Operation: 42-26=16 Current State: 72:[17, 72, 16], Operations: ['42-26=16'] Exploring Operation: 17-16=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 17-16=1 Current State: 72:[72, 1], Operations: ['42-26=16', '17-16=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 47, 32, 86 ]
42
[ "47*86=4042", "32+4042=4074", "4074/97=42" ]
Current State: 42:[97, 47, 32, 86], Operations: [] Exploring Operation: 47*86=4042, Resulting Numbers: [97, 32, 4042] Generated Node #2: [97, 32, 4042] from Operation: 47*86=4042 Current State: 42:[97, 32, 4042], Operations: ['47*86=4042'] Exploring Operation: 32+4042=4074, Resulting Numbers: [97, 4074] Generated Node #3: [97, 4074] from Operation: 32+4042=4074 Current State: 42:[97, 4074], Operations: ['47*86=4042', '32+4042=4074'] Exploring Operation: 4074/97=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 87, 73, 47 ]
77
[ "16+87=103", "73-47=26", "103-26=77" ]
Current State: 77:[16, 87, 73, 47], Operations: [] Exploring Operation: 16+87=103, Resulting Numbers: [73, 47, 103] Generated Node #2: [73, 47, 103] from Operation: 16+87=103 Current State: 77:[73, 47, 103], Operations: ['16+87=103'] Exploring Operation: 73-47=26, Resulting Numbers: [103, 26] Generated Node #3: [103, 26] from Operation: 73-47=26 Current State: 77:[103, 26], Operations: ['16+87=103', '73-47=26'] Exploring Operation: 103-26=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 39, 10, 56 ]
50
[ "39+56=95", "95/19=5", "10*5=50" ]
Current State: 50:[19, 39, 10, 56], Operations: [] Exploring Operation: 39+56=95, Resulting Numbers: [19, 10, 95] Generated Node #2: [19, 10, 95] from Operation: 39+56=95 Current State: 50:[19, 10, 95], Operations: ['39+56=95'] Exploring Operation: 95/19=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 95/19=5 Current State: 50:[10, 5], Operations: ['39+56=95', '95/19=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 40, 17, 11, 14 ]
19
[ "40+17=57", "14-11=3", "57/3=19" ]
Current State: 19:[40, 17, 11, 14], Operations: [] Exploring Operation: 40+17=57, Resulting Numbers: [11, 14, 57] Generated Node #2: [11, 14, 57] from Operation: 40+17=57 Current State: 19:[11, 14, 57], Operations: ['40+17=57'] Exploring Operation: 14-11=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 14-11=3 Current State: 19:[57, 3], Operations: ['40+17=57', '14-11=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 29, 68, 58, 39 ]
31
[ "58/29=2", "68-39=29", "2+29=31" ]
Current State: 31:[29, 68, 58, 39], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [68, 39, 2] Generated Node #2: [68, 39, 2] from Operation: 58/29=2 Current State: 31:[68, 39, 2], Operations: ['58/29=2'] Exploring Operation: 68-39=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 68-39=29 Current State: 31:[2, 29], Operations: ['58/29=2', '68-39=29'] Exploring Operation: 2+29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 84, 7, 36 ]
76
[ "36/36=1", "84-7=77", "77-1=76" ]
Current State: 76:[36, 84, 7, 36], Operations: [] Exploring Operation: 36/36=1, Resulting Numbers: [84, 7, 1] Generated Node #2: [84, 7, 1] from Operation: 36/36=1 Current State: 76:[84, 7, 1], Operations: ['36/36=1'] Exploring Operation: 84-7=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 84-7=77 Current State: 76:[1, 77], Operations: ['36/36=1', '84-7=77'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 32, 76, 88, 23 ]
21
[ "76-32=44", "88-23=65", "65-44=21" ]
Current State: 21:[32, 76, 88, 23], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [88, 23, 44] Generated Node #2: [88, 23, 44] from Operation: 76-32=44 Current State: 21:[88, 23, 44], Operations: ['76-32=44'] Exploring Operation: 88-23=65, Resulting Numbers: [44, 65] Generated Node #3: [44, 65] from Operation: 88-23=65 Current State: 21:[44, 65], Operations: ['76-32=44', '88-23=65'] Exploring Operation: 65-44=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4