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
[ 27, 58, 85, 67 ]
66
[ "27+58=85", "85/85=1", "67-1=66" ]
Current State: 66:[27, 58, 85, 67], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [85, 67, 85] Generated Node #2: [85, 67, 85] from Operation: 27+58=85 Current State: 66:[85, 67, 85], Operations: ['27+58=85'] Exploring Operation: 85/85=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 85/85=1 Current State: 66:[67, 1], Operations: ['27+58=85', '85/85=1'] Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 96, 28, 4, 28 ]
59
[ "96+28=124", "124/4=31", "28+31=59" ]
Current State: 59:[96, 28, 4, 28], Operations: [] Exploring Operation: 96+28=124, Resulting Numbers: [4, 124] Generated Node #2: [4, 124] from Operation: 96+28=124 Current State: 59:[4, 124], Operations: ['96+28=124'] Exploring Operation: 124/4=31, Resulting Numbers: [31] 31,59 equal: Goal Reached Exploring Operation: 28+31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 9, 8, 12, 92 ]
16
[ "92-8=84", "84/12=7", "9+7=16" ]
Current State: 16:[9, 8, 12, 92], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [9, 12, 84] Generated Node #2: [9, 12, 84] from Operation: 92-8=84 Current State: 16:[9, 12, 84], Operations: ['92-8=84'] Exploring Operation: 84/12=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 84/12=7 Current State: 16:[9, 7], Operations: ['92-8=84', '84/12=7'] Exploring Operation: 9+7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 97, 54, 99, 94 ]
21
[ "97-94=3", "99/3=33", "54-33=21" ]
Current State: 21:[97, 54, 99, 94], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [54, 99, 3] Generated Node #2: [54, 99, 3] from Operation: 97-94=3 Current State: 21:[54, 99, 3], Operations: ['97-94=3'] Exploring Operation: 99/3=33, Resulting Numbers: [54, 33] Generated Node #3: [54, 33] from Operation: 99/3=33 Current State: 21:[54, 33], Operations: ['97-94=3', '99/3=33'] Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 59, 2, 86, 71 ]
76
[ "59+2=61", "86-71=15", "61+15=76" ]
Current State: 76:[59, 2, 86, 71], Operations: [] Exploring Operation: 59+2=61, Resulting Numbers: [86, 71, 61] Generated Node #2: [86, 71, 61] from Operation: 59+2=61 Current State: 76:[86, 71, 61], Operations: ['59+2=61'] Exploring Operation: 86-71=15, Resulting Numbers: [61, 15] Generated Node #3: [61, 15] from Operation: 86-71=15 Current State: 76:[61, 15], Operations: ['59+2=61', '86-71=15'] Exploring Operation: 61+15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 32, 49, 13 ]
82
[ "5*13=65", "49-32=17", "65+17=82" ]
Current State: 82:[5, 32, 49, 13], Operations: [] Exploring Operation: 5*13=65, Resulting Numbers: [32, 49, 65] Generated Node #2: [32, 49, 65] from Operation: 5*13=65 Current State: 82:[32, 49, 65], Operations: ['5*13=65'] Exploring Operation: 49-32=17, Resulting Numbers: [65, 17] Generated Node #3: [65, 17] from Operation: 49-32=17 Current State: 82:[65, 17], Operations: ['5*13=65', '49-32=17'] Exploring Operation: 65+17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 36, 42, 96 ]
74
[ "28+36=64", "42+96=138", "138-64=74" ]
Current State: 74:[28, 36, 42, 96], Operations: [] Exploring Operation: 28+36=64, Resulting Numbers: [42, 96, 64] Generated Node #2: [42, 96, 64] from Operation: 28+36=64 Current State: 74:[42, 96, 64], Operations: ['28+36=64'] Exploring Operation: 42+96=138, Resulting Numbers: [64, 138] Generated Node #3: [64, 138] from Operation: 42+96=138 Current State: 74:[64, 138], Operations: ['28+36=64', '42+96=138'] Exploring Operation: 138-64=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 19, 5, 56 ]
64
[ "22-19=3", "5+56=61", "3+61=64" ]
Current State: 64:[22, 19, 5, 56], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [5, 56, 3] Generated Node #2: [5, 56, 3] from Operation: 22-19=3 Current State: 64:[5, 56, 3], Operations: ['22-19=3'] Exploring Operation: 5+56=61, Resulting Numbers: [3, 61] Generated Node #3: [3, 61] from Operation: 5+56=61 Current State: 64:[3, 61], Operations: ['22-19=3', '5+56=61'] Exploring Operation: 3+61=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 48, 10, 40 ]
56
[ "10-7=3", "48/3=16", "40+16=56" ]
Current State: 56:[7, 48, 10, 40], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [48, 40, 3] Generated Node #2: [48, 40, 3] from Operation: 10-7=3 Current State: 56:[48, 40, 3], Operations: ['10-7=3'] Exploring Operation: 48/3=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 48/3=16 Current State: 56:[40, 16], Operations: ['10-7=3', '48/3=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 79, 54, 2, 35 ]
17
[ "79-35=44", "54/2=27", "44-27=17" ]
Current State: 17:[79, 54, 2, 35], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [54, 2, 44] Generated Node #2: [54, 2, 44] from Operation: 79-35=44 Current State: 17:[54, 2, 44], Operations: ['79-35=44'] Exploring Operation: 54/2=27, Resulting Numbers: [44, 27] Generated Node #3: [44, 27] from Operation: 54/2=27 Current State: 17:[44, 27], Operations: ['79-35=44', '54/2=27'] Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 73, 34, 63 ]
41
[ "73-17=56", "34+63=97", "97-56=41" ]
Current State: 41:[17, 73, 34, 63], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [34, 63, 56] Generated Node #2: [34, 63, 56] from Operation: 73-17=56 Current State: 41:[34, 63, 56], Operations: ['73-17=56'] Exploring Operation: 34+63=97, Resulting Numbers: [56, 97] Generated Node #3: [56, 97] from Operation: 34+63=97 Current State: 41:[56, 97], Operations: ['73-17=56', '34+63=97'] Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 15, 10, 70 ]
90
[ "54+10=64", "70-64=6", "15*6=90" ]
Current State: 90:[54, 15, 10, 70], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [15, 70, 64] Generated Node #2: [15, 70, 64] from Operation: 54+10=64 Current State: 90:[15, 70, 64], Operations: ['54+10=64'] Exploring Operation: 70-64=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 70-64=6 Current State: 90:[15, 6], Operations: ['54+10=64', '70-64=6'] Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 58, 30, 8, 8 ]
10
[ "58+30=88", "88-8=80", "80/8=10" ]
Current State: 10:[58, 30, 8, 8], Operations: [] Exploring Operation: 58+30=88, Resulting Numbers: [8, 8, 88] Generated Node #2: [8, 8, 88] from Operation: 58+30=88 Current State: 10:[8, 8, 88], Operations: ['58+30=88'] Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,10 equal: Goal Reached Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 71, 34, 47 ]
74
[ "34+47=81", "81/27=3", "71+3=74" ]
Current State: 74:[27, 71, 34, 47], Operations: [] Exploring Operation: 34+47=81, Resulting Numbers: [27, 71, 81] Generated Node #2: [27, 71, 81] from Operation: 34+47=81 Current State: 74:[27, 71, 81], Operations: ['34+47=81'] Exploring Operation: 81/27=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 81/27=3 Current State: 74:[71, 3], Operations: ['34+47=81', '81/27=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 6, 34, 26 ]
15
[ "13-6=7", "34-26=8", "7+8=15" ]
Current State: 15:[13, 6, 34, 26], Operations: [] Exploring Operation: 13-6=7, Resulting Numbers: [34, 26, 7] Generated Node #2: [34, 26, 7] from Operation: 13-6=7 Current State: 15:[34, 26, 7], Operations: ['13-6=7'] Exploring Operation: 34-26=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 34-26=8 Current State: 15:[7, 8], Operations: ['13-6=7', '34-26=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 71, 1, 46, 74 ]
49
[ "71*1=71", "46+74=120", "120-71=49" ]
Current State: 49:[71, 1, 46, 74], Operations: [] Exploring Operation: 71*1=71, Resulting Numbers: [46, 74, 71] Generated Node #2: [46, 74, 71] from Operation: 71*1=71 Current State: 49:[46, 74, 71], Operations: ['71*1=71'] Exploring Operation: 46+74=120, Resulting Numbers: [71, 120] Generated Node #3: [71, 120] from Operation: 46+74=120 Current State: 49:[71, 120], Operations: ['71*1=71', '46+74=120'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 61, 3, 64 ]
56
[ "64-25=39", "3*39=117", "117-61=56" ]
Current State: 56:[25, 61, 3, 64], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [61, 3, 39] Generated Node #2: [61, 3, 39] from Operation: 64-25=39 Current State: 56:[61, 3, 39], Operations: ['64-25=39'] Exploring Operation: 3*39=117, Resulting Numbers: [61, 117] Generated Node #3: [61, 117] from Operation: 3*39=117 Current State: 56:[61, 117], Operations: ['64-25=39', '3*39=117'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 44, 41, 94 ]
93
[ "44-2=42", "41+94=135", "135-42=93" ]
Current State: 93:[2, 44, 41, 94], Operations: [] Exploring Operation: 44-2=42, Resulting Numbers: [41, 94, 42] Generated Node #2: [41, 94, 42] from Operation: 44-2=42 Current State: 93:[41, 94, 42], Operations: ['44-2=42'] Exploring Operation: 41+94=135, Resulting Numbers: [42, 135] Generated Node #3: [42, 135] from Operation: 41+94=135 Current State: 93:[42, 135], Operations: ['44-2=42', '41+94=135'] Exploring Operation: 135-42=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 58, 22, 3, 89 ]
12
[ "58+22=80", "3+89=92", "92-80=12" ]
Current State: 12:[58, 22, 3, 89], Operations: [] Exploring Operation: 58+22=80, Resulting Numbers: [3, 89, 80] Generated Node #2: [3, 89, 80] from Operation: 58+22=80 Current State: 12:[3, 89, 80], Operations: ['58+22=80'] Exploring Operation: 3+89=92, Resulting Numbers: [80, 92] Generated Node #3: [80, 92] from Operation: 3+89=92 Current State: 12:[80, 92], Operations: ['58+22=80', '3+89=92'] Exploring Operation: 92-80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 12, 57, 54 ]
93
[ "13*57=741", "12*54=648", "741-648=93" ]
Current State: 93:[13, 12, 57, 54], Operations: [] Exploring Operation: 13*57=741, Resulting Numbers: [12, 54, 741] Generated Node #2: [12, 54, 741] from Operation: 13*57=741 Current State: 93:[12, 54, 741], Operations: ['13*57=741'] Exploring Operation: 12*54=648, Resulting Numbers: [741, 648] Generated Node #3: [741, 648] from Operation: 12*54=648 Current State: 93:[741, 648], Operations: ['13*57=741', '12*54=648'] Exploring Operation: 741-648=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 37, 7, 39, 48 ]
74
[ "7+39=46", "48-46=2", "37*2=74" ]
Current State: 74:[37, 7, 39, 48], Operations: [] Exploring Operation: 7+39=46, Resulting Numbers: [37, 48, 46] Generated Node #2: [37, 48, 46] from Operation: 7+39=46 Current State: 74:[37, 48, 46], Operations: ['7+39=46'] Exploring Operation: 48-46=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 48-46=2 Current State: 74:[37, 2], Operations: ['7+39=46', '48-46=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 74, 60, 91 ]
93
[ "46+74=120", "120/60=2", "91+2=93" ]
Current State: 93:[46, 74, 60, 91], Operations: [] Exploring Operation: 46+74=120, Resulting Numbers: [60, 91, 120] Generated Node #2: [60, 91, 120] from Operation: 46+74=120 Current State: 93:[60, 91, 120], Operations: ['46+74=120'] Exploring Operation: 120/60=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 120/60=2 Current State: 93:[91, 2], Operations: ['46+74=120', '120/60=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 6, 19, 34 ]
56
[ "24+34=58", "6*19=114", "114-58=56" ]
Current State: 56:[24, 6, 19, 34], Operations: [] Exploring Operation: 24+34=58, Resulting Numbers: [6, 19, 58] Generated Node #2: [6, 19, 58] from Operation: 24+34=58 Current State: 56:[6, 19, 58], Operations: ['24+34=58'] Exploring Operation: 6*19=114, Resulting Numbers: [58, 114] Generated Node #3: [58, 114] from Operation: 6*19=114 Current State: 56:[58, 114], Operations: ['24+34=58', '6*19=114'] Exploring Operation: 114-58=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 51, 14, 97 ]
81
[ "53-51=2", "97-14=83", "83-2=81" ]
Current State: 81:[53, 51, 14, 97], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [14, 97, 2] Generated Node #2: [14, 97, 2] from Operation: 53-51=2 Current State: 81:[14, 97, 2], Operations: ['53-51=2'] Exploring Operation: 97-14=83, Resulting Numbers: [2, 83] Generated Node #3: [2, 83] from Operation: 97-14=83 Current State: 81:[2, 83], Operations: ['53-51=2', '97-14=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 29, 56, 54, 35 ]
23
[ "56-54=2", "29*2=58", "58-35=23" ]
Current State: 23:[29, 56, 54, 35], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [29, 35, 2] Generated Node #2: [29, 35, 2] from Operation: 56-54=2 Current State: 23:[29, 35, 2], Operations: ['56-54=2'] Exploring Operation: 29*2=58, Resulting Numbers: [35, 58] Generated Node #3: [35, 58] from Operation: 29*2=58 Current State: 23:[35, 58], Operations: ['56-54=2', '29*2=58'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 96, 20, 1, 94 ]
23
[ "96+20=116", "94-1=93", "116-93=23" ]
Current State: 23:[96, 20, 1, 94], Operations: [] Exploring Operation: 96+20=116, Resulting Numbers: [1, 94, 116] Generated Node #2: [1, 94, 116] from Operation: 96+20=116 Current State: 23:[1, 94, 116], Operations: ['96+20=116'] Exploring Operation: 94-1=93, Resulting Numbers: [116, 93] Generated Node #3: [116, 93] from Operation: 94-1=93 Current State: 23:[116, 93], Operations: ['96+20=116', '94-1=93'] Exploring Operation: 116-93=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 63, 46, 2 ]
66
[ "63-45=18", "46+2=48", "18+48=66" ]
Current State: 66:[45, 63, 46, 2], Operations: [] Exploring Operation: 63-45=18, Resulting Numbers: [46, 2, 18] Generated Node #2: [46, 2, 18] from Operation: 63-45=18 Current State: 66:[46, 2, 18], Operations: ['63-45=18'] Exploring Operation: 46+2=48, Resulting Numbers: [18, 48] Generated Node #3: [18, 48] from Operation: 46+2=48 Current State: 66:[18, 48], Operations: ['63-45=18', '46+2=48'] Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 55, 28, 24, 85 ]
88
[ "55-28=27", "85-24=61", "27+61=88" ]
Current State: 88:[55, 28, 24, 85], Operations: [] Exploring Operation: 55-28=27, Resulting Numbers: [24, 85, 27] Generated Node #2: [24, 85, 27] from Operation: 55-28=27 Current State: 88:[24, 85, 27], Operations: ['55-28=27'] Exploring Operation: 85-24=61, Resulting Numbers: [27, 61] Generated Node #3: [27, 61] from Operation: 85-24=61 Current State: 88:[27, 61], Operations: ['55-28=27', '85-24=61'] Exploring Operation: 27+61=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 34, 43, 75, 90 ]
88
[ "34+43=77", "75+90=165", "165-77=88" ]
Current State: 88:[34, 43, 75, 90], Operations: [] Exploring Operation: 34+43=77, Resulting Numbers: [75, 90, 77] Generated Node #2: [75, 90, 77] from Operation: 34+43=77 Current State: 88:[75, 90, 77], Operations: ['34+43=77'] Exploring Operation: 75+90=165, Resulting Numbers: [77, 165] Generated Node #3: [77, 165] from Operation: 75+90=165 Current State: 88:[77, 165], Operations: ['34+43=77', '75+90=165'] Exploring Operation: 165-77=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 9, 38, 39 ]
59
[ "68-9=59", "39-38=1", "59*1=59" ]
Current State: 59:[68, 9, 38, 39], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [38, 39, 59] Generated Node #2: [38, 39, 59] from Operation: 68-9=59 Current State: 59:[38, 39, 59], Operations: ['68-9=59'] Exploring Operation: 39-38=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 39-38=1 Current State: 59:[59, 1], Operations: ['68-9=59', '39-38=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 1, 55, 34, 44 ]
24
[ "55-1=54", "34+44=78", "78-54=24" ]
Current State: 24:[1, 55, 34, 44], Operations: [] Exploring Operation: 55-1=54, Resulting Numbers: [34, 44, 54] Generated Node #2: [34, 44, 54] from Operation: 55-1=54 Current State: 24:[34, 44, 54], Operations: ['55-1=54'] Exploring Operation: 34+44=78, Resulting Numbers: [54, 78] Generated Node #3: [54, 78] from Operation: 34+44=78 Current State: 24:[54, 78], Operations: ['55-1=54', '34+44=78'] Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 67, 87, 20, 47 ]
40
[ "87+47=134", "134/67=2", "20*2=40" ]
Current State: 40:[67, 87, 20, 47], Operations: [] Exploring Operation: 87+47=134, Resulting Numbers: [67, 20, 134] Generated Node #2: [67, 20, 134] from Operation: 87+47=134 Current State: 40:[67, 20, 134], Operations: ['87+47=134'] Exploring Operation: 134/67=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 134/67=2 Current State: 40:[20, 2], Operations: ['87+47=134', '134/67=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 45, 72, 17, 9 ]
35
[ "72-45=27", "17-9=8", "27+8=35" ]
Current State: 35:[45, 72, 17, 9], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [17, 9, 27] Generated Node #2: [17, 9, 27] from Operation: 72-45=27 Current State: 35:[17, 9, 27], Operations: ['72-45=27'] Exploring Operation: 17-9=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 17-9=8 Current State: 35:[27, 8], Operations: ['72-45=27', '17-9=8'] Exploring Operation: 27+8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 58, 57, 82, 85 ]
39
[ "85-82=3", "57/3=19", "58-19=39" ]
Current State: 39:[58, 57, 82, 85], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [58, 57, 3] Generated Node #2: [58, 57, 3] from Operation: 85-82=3 Current State: 39:[58, 57, 3], Operations: ['85-82=3'] Exploring Operation: 57/3=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 57/3=19 Current State: 39:[58, 19], Operations: ['85-82=3', '57/3=19'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 19, 10, 46, 12 ]
87
[ "19+10=29", "46+12=58", "29+58=87" ]
Current State: 87:[19, 10, 46, 12], Operations: [] Exploring Operation: 19+10=29, Resulting Numbers: [46, 12, 29] Generated Node #2: [46, 12, 29] from Operation: 19+10=29 Current State: 87:[46, 12, 29], Operations: ['19+10=29'] Exploring Operation: 46+12=58, Resulting Numbers: [29, 58] Generated Node #3: [29, 58] from Operation: 46+12=58 Current State: 87:[29, 58], Operations: ['19+10=29', '46+12=58'] Exploring Operation: 29+58=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 77, 62, 38, 6 ]
67
[ "62-38=24", "6*24=144", "144-77=67" ]
Current State: 67:[77, 62, 38, 6], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [77, 6, 24] Generated Node #2: [77, 6, 24] from Operation: 62-38=24 Current State: 67:[77, 6, 24], Operations: ['62-38=24'] Exploring Operation: 6*24=144, Resulting Numbers: [77, 144] Generated Node #3: [77, 144] from Operation: 6*24=144 Current State: 67:[77, 144], Operations: ['62-38=24', '6*24=144'] Exploring Operation: 144-77=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 95, 87, 90 ]
31
[ "51+95=146", "87+90=177", "177-146=31" ]
Current State: 31:[51, 95, 87, 90], Operations: [] Exploring Operation: 51+95=146, Resulting Numbers: [87, 90, 146] Generated Node #2: [87, 90, 146] from Operation: 51+95=146 Current State: 31:[87, 90, 146], Operations: ['51+95=146'] Exploring Operation: 87+90=177, Resulting Numbers: [146, 177] Generated Node #3: [146, 177] from Operation: 87+90=177 Current State: 31:[146, 177], Operations: ['51+95=146', '87+90=177'] Exploring Operation: 177-146=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 21, 60, 11 ]
30
[ "21-11=10", "60/10=6", "36-6=30" ]
Current State: 30:[36, 21, 60, 11], Operations: [] Exploring Operation: 21-11=10, Resulting Numbers: [36, 60, 10] Generated Node #2: [36, 60, 10] from Operation: 21-11=10 Current State: 30:[36, 60, 10], Operations: ['21-11=10'] Exploring Operation: 60/10=6, Resulting Numbers: [36, 6] Generated Node #3: [36, 6] from Operation: 60/10=6 Current State: 30:[36, 6], Operations: ['21-11=10', '60/10=6'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 14, 40, 7 ]
61
[ "14-11=3", "7*3=21", "40+21=61" ]
Current State: 61:[11, 14, 40, 7], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [40, 7, 3] Generated Node #2: [40, 7, 3] from Operation: 14-11=3 Current State: 61:[40, 7, 3], Operations: ['14-11=3'] Exploring Operation: 7*3=21, Resulting Numbers: [40, 21] Generated Node #3: [40, 21] from Operation: 7*3=21 Current State: 61:[40, 21], Operations: ['14-11=3', '7*3=21'] Exploring Operation: 40+21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 82, 80, 4, 54 ]
32
[ "82-54=28", "4*28=112", "112-80=32" ]
Current State: 32:[82, 80, 4, 54], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [80, 4, 28] Generated Node #2: [80, 4, 28] from Operation: 82-54=28 Current State: 32:[80, 4, 28], Operations: ['82-54=28'] Exploring Operation: 4*28=112, Resulting Numbers: [80, 112] Generated Node #3: [80, 112] from Operation: 4*28=112 Current State: 32:[80, 112], Operations: ['82-54=28', '4*28=112'] Exploring Operation: 112-80=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 12, 29, 46, 16 ]
14
[ "12+46=58", "58/29=2", "16-2=14" ]
Current State: 14:[12, 29, 46, 16], Operations: [] Exploring Operation: 12+46=58, Resulting Numbers: [29, 16, 58] Generated Node #2: [29, 16, 58] from Operation: 12+46=58 Current State: 14:[29, 16, 58], Operations: ['12+46=58'] Exploring Operation: 58/29=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 58/29=2 Current State: 14:[16, 2], Operations: ['12+46=58', '58/29=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 53, 32, 46, 7 ]
17
[ "53-46=7", "7*7=49", "49-32=17" ]
Current State: 17:[53, 32, 46, 7], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [32, 7, 7] Generated Node #2: [32, 7, 7] from Operation: 53-46=7 Current State: 17:[32, 7, 7], Operations: ['53-46=7'] Exploring Operation: 7*7=49, Resulting Numbers: [32, 49] Generated Node #3: [32, 49] from Operation: 7*7=49 Current State: 17:[32, 49], Operations: ['53-46=7', '7*7=49'] Exploring Operation: 49-32=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 47, 44, 76, 55 ]
63
[ "47-44=3", "76-55=21", "3*21=63" ]
Current State: 63:[47, 44, 76, 55], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [76, 55, 3] Generated Node #2: [76, 55, 3] from Operation: 47-44=3 Current State: 63:[76, 55, 3], Operations: ['47-44=3'] Exploring Operation: 76-55=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 76-55=21 Current State: 63:[3, 21], Operations: ['47-44=3', '76-55=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 75, 95, 81, 27 ]
23
[ "95-75=20", "81/27=3", "20+3=23" ]
Current State: 23:[75, 95, 81, 27], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [81, 27, 20] Generated Node #2: [81, 27, 20] from Operation: 95-75=20 Current State: 23:[81, 27, 20], Operations: ['95-75=20'] Exploring Operation: 81/27=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 81/27=3 Current State: 23:[20, 3], Operations: ['95-75=20', '81/27=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 3, 44, 64, 54 ]
54
[ "3*54=162", "44+64=108", "162-108=54" ]
Current State: 54:[3, 44, 64, 54], Operations: [] Exploring Operation: 3*54=162, Resulting Numbers: [44, 64, 162] Generated Node #2: [44, 64, 162] from Operation: 3*54=162 Current State: 54:[44, 64, 162], Operations: ['3*54=162'] Exploring Operation: 44+64=108, Resulting Numbers: [162, 108] Generated Node #3: [162, 108] from Operation: 44+64=108 Current State: 54:[162, 108], Operations: ['3*54=162', '44+64=108'] Exploring Operation: 162-108=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 95, 79, 60 ]
38
[ "79-55=24", "95*24=2280", "2280/60=38" ]
Current State: 38:[55, 95, 79, 60], Operations: [] Exploring Operation: 79-55=24, Resulting Numbers: [95, 60, 24] Generated Node #2: [95, 60, 24] from Operation: 79-55=24 Current State: 38:[95, 60, 24], Operations: ['79-55=24'] Exploring Operation: 95*24=2280, Resulting Numbers: [60, 2280] Generated Node #3: [60, 2280] from Operation: 95*24=2280 Current State: 38:[60, 2280], Operations: ['79-55=24', '95*24=2280'] Exploring Operation: 2280/60=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 96, 56, 44, 34 ]
25
[ "44*34=1496", "1496-96=1400", "1400/56=25" ]
Current State: 25:[96, 56, 44, 34], Operations: [] Exploring Operation: 44*34=1496, Resulting Numbers: [96, 56, 1496] Generated Node #2: [96, 56, 1496] from Operation: 44*34=1496 Current State: 25:[96, 56, 1496], Operations: ['44*34=1496'] Exploring Operation: 1496-96=1400, Resulting Numbers: [56, 1400] Generated Node #3: [56, 1400] from Operation: 1496-96=1400 Current State: 25:[56, 1400], Operations: ['44*34=1496', '1496-96=1400'] Exploring Operation: 1400/56=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 37, 37, 42 ]
69
[ "4*37=148", "37+42=79", "148-79=69" ]
Current State: 69:[4, 37, 37, 42], Operations: [] Exploring Operation: 4*37=148, Resulting Numbers: [42, 148] Generated Node #2: [42, 148] from Operation: 4*37=148 Current State: 69:[42, 148], Operations: ['4*37=148'] Exploring Operation: 37+42=79, Resulting Numbers: [148, 79] Generated Node #3: [148, 79] from Operation: 37+42=79 Current State: 69:[148, 79], Operations: ['4*37=148', '37+42=79'] Exploring Operation: 148-79=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 81, 61, 66 ]
65
[ "81-19=62", "61+66=127", "127-62=65" ]
Current State: 65:[19, 81, 61, 66], Operations: [] Exploring Operation: 81-19=62, Resulting Numbers: [61, 66, 62] Generated Node #2: [61, 66, 62] from Operation: 81-19=62 Current State: 65:[61, 66, 62], Operations: ['81-19=62'] Exploring Operation: 61+66=127, Resulting Numbers: [62, 127] Generated Node #3: [62, 127] from Operation: 61+66=127 Current State: 65:[62, 127], Operations: ['81-19=62', '61+66=127'] Exploring Operation: 127-62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 30, 52, 12 ]
34
[ "68+30=98", "52+12=64", "98-64=34" ]
Current State: 34:[68, 30, 52, 12], Operations: [] Exploring Operation: 68+30=98, Resulting Numbers: [52, 12, 98] Generated Node #2: [52, 12, 98] from Operation: 68+30=98 Current State: 34:[52, 12, 98], Operations: ['68+30=98'] Exploring Operation: 52+12=64, Resulting Numbers: [98, 64] Generated Node #3: [98, 64] from Operation: 52+12=64 Current State: 34:[98, 64], Operations: ['68+30=98', '52+12=64'] Exploring Operation: 98-64=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 96, 95, 95 ]
93
[ "96-4=92", "95/95=1", "92+1=93" ]
Current State: 93:[4, 96, 95, 95], Operations: [] Exploring Operation: 96-4=92, Resulting Numbers: [95, 95, 92] Generated Node #2: [95, 95, 92] from Operation: 96-4=92 Current State: 93:[95, 95, 92], Operations: ['96-4=92'] Exploring Operation: 95/95=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 95/95=1 Current State: 93:[92, 1], Operations: ['96-4=92', '95/95=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 91, 9, 12 ]
90
[ "96/12=8", "91-9=82", "8+82=90" ]
Current State: 90:[96, 91, 9, 12], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [91, 9, 8] Generated Node #2: [91, 9, 8] from Operation: 96/12=8 Current State: 90:[91, 9, 8], Operations: ['96/12=8'] Exploring Operation: 91-9=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 91-9=82 Current State: 90:[8, 82], Operations: ['96/12=8', '91-9=82'] Exploring Operation: 8+82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 66, 29, 89 ]
20
[ "69-66=3", "89-29=60", "60/3=20" ]
Current State: 20:[69, 66, 29, 89], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [29, 89, 3] Generated Node #2: [29, 89, 3] from Operation: 69-66=3 Current State: 20:[29, 89, 3], Operations: ['69-66=3'] Exploring Operation: 89-29=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 89-29=60 Current State: 20:[3, 60], Operations: ['69-66=3', '89-29=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 52, 53, 78, 20 ]
57
[ "53-52=1", "78-20=58", "58-1=57" ]
Current State: 57:[52, 53, 78, 20], Operations: [] Exploring Operation: 53-52=1, Resulting Numbers: [78, 20, 1] Generated Node #2: [78, 20, 1] from Operation: 53-52=1 Current State: 57:[78, 20, 1], Operations: ['53-52=1'] Exploring Operation: 78-20=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 78-20=58 Current State: 57:[1, 58], Operations: ['53-52=1', '78-20=58'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 2, 51, 57 ]
94
[ "12+2=14", "51+57=108", "108-14=94" ]
Current State: 94:[12, 2, 51, 57], Operations: [] Exploring Operation: 12+2=14, Resulting Numbers: [51, 57, 14] Generated Node #2: [51, 57, 14] from Operation: 12+2=14 Current State: 94:[51, 57, 14], Operations: ['12+2=14'] Exploring Operation: 51+57=108, Resulting Numbers: [14, 108] Generated Node #3: [14, 108] from Operation: 51+57=108 Current State: 94:[14, 108], Operations: ['12+2=14', '51+57=108'] Exploring Operation: 108-14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 51, 66, 64 ]
60
[ "64/16=4", "66-51=15", "4*15=60" ]
Current State: 60:[16, 51, 66, 64], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [51, 66, 4] Generated Node #2: [51, 66, 4] from Operation: 64/16=4 Current State: 60:[51, 66, 4], Operations: ['64/16=4'] Exploring Operation: 66-51=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 66-51=15 Current State: 60:[4, 15], Operations: ['64/16=4', '66-51=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 63, 38, 61 ]
20
[ "48-38=10", "63-61=2", "10*2=20" ]
Current State: 20:[48, 63, 38, 61], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [63, 61, 10] Generated Node #2: [63, 61, 10] from Operation: 48-38=10 Current State: 20:[63, 61, 10], Operations: ['48-38=10'] Exploring Operation: 63-61=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 63-61=2 Current State: 20:[10, 2], Operations: ['48-38=10', '63-61=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 78, 25, 93 ]
22
[ "18+78=96", "25+93=118", "118-96=22" ]
Current State: 22:[18, 78, 25, 93], Operations: [] Exploring Operation: 18+78=96, Resulting Numbers: [25, 93, 96] Generated Node #2: [25, 93, 96] from Operation: 18+78=96 Current State: 22:[25, 93, 96], Operations: ['18+78=96'] Exploring Operation: 25+93=118, Resulting Numbers: [96, 118] Generated Node #3: [96, 118] from Operation: 25+93=118 Current State: 22:[96, 118], Operations: ['18+78=96', '25+93=118'] Exploring Operation: 118-96=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 91, 50, 4, 91 ]
45
[ "91/91=1", "50-4=46", "46-1=45" ]
Current State: 45:[91, 50, 4, 91], Operations: [] Exploring Operation: 91/91=1, Resulting Numbers: [50, 4, 1] Generated Node #2: [50, 4, 1] from Operation: 91/91=1 Current State: 45:[50, 4, 1], Operations: ['91/91=1'] Exploring Operation: 50-4=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 50-4=46 Current State: 45:[1, 46], Operations: ['91/91=1', '50-4=46'] Exploring Operation: 46-1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 47, 21, 56, 72 ]
84
[ "47+21=68", "72-56=16", "68+16=84" ]
Current State: 84:[47, 21, 56, 72], Operations: [] Exploring Operation: 47+21=68, Resulting Numbers: [56, 72, 68] Generated Node #2: [56, 72, 68] from Operation: 47+21=68 Current State: 84:[56, 72, 68], Operations: ['47+21=68'] Exploring Operation: 72-56=16, Resulting Numbers: [68, 16] Generated Node #3: [68, 16] from Operation: 72-56=16 Current State: 84:[68, 16], Operations: ['47+21=68', '72-56=16'] Exploring Operation: 68+16=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 32, 13, 23, 89 ]
93
[ "32-13=19", "23+89=112", "112-19=93" ]
Current State: 93:[32, 13, 23, 89], Operations: [] Exploring Operation: 32-13=19, Resulting Numbers: [23, 89, 19] Generated Node #2: [23, 89, 19] from Operation: 32-13=19 Current State: 93:[23, 89, 19], Operations: ['32-13=19'] Exploring Operation: 23+89=112, Resulting Numbers: [19, 112] Generated Node #3: [19, 112] from Operation: 23+89=112 Current State: 93:[19, 112], Operations: ['32-13=19', '23+89=112'] Exploring Operation: 112-19=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 84, 19, 22, 31 ]
59
[ "84*22=1848", "1848-19=1829", "1829/31=59" ]
Current State: 59:[84, 19, 22, 31], Operations: [] Exploring Operation: 84*22=1848, Resulting Numbers: [19, 31, 1848] Generated Node #2: [19, 31, 1848] from Operation: 84*22=1848 Current State: 59:[19, 31, 1848], Operations: ['84*22=1848'] Exploring Operation: 1848-19=1829, Resulting Numbers: [31, 1829] Generated Node #3: [31, 1829] from Operation: 1848-19=1829 Current State: 59:[31, 1829], Operations: ['84*22=1848', '1848-19=1829'] Exploring Operation: 1829/31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 65, 72, 75 ]
15
[ "65/13=5", "75-72=3", "5*3=15" ]
Current State: 15:[13, 65, 72, 75], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [72, 75, 5] Generated Node #2: [72, 75, 5] from Operation: 65/13=5 Current State: 15:[72, 75, 5], Operations: ['65/13=5'] Exploring Operation: 75-72=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 75-72=3 Current State: 15:[5, 3], Operations: ['65/13=5', '75-72=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 56, 9, 7, 38 ]
10
[ "9-7=2", "56/2=28", "38-28=10" ]
Current State: 10:[56, 9, 7, 38], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [56, 38, 2] Generated Node #2: [56, 38, 2] from Operation: 9-7=2 Current State: 10:[56, 38, 2], Operations: ['9-7=2'] Exploring Operation: 56/2=28, Resulting Numbers: [38, 28] Generated Node #3: [38, 28] from Operation: 56/2=28 Current State: 10:[38, 28], Operations: ['9-7=2', '56/2=28'] Exploring Operation: 38-28=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 82, 67, 16 ]
79
[ "80+82=162", "67+16=83", "162-83=79" ]
Current State: 79:[80, 82, 67, 16], Operations: [] Exploring Operation: 80+82=162, Resulting Numbers: [67, 16, 162] Generated Node #2: [67, 16, 162] from Operation: 80+82=162 Current State: 79:[67, 16, 162], Operations: ['80+82=162'] Exploring Operation: 67+16=83, Resulting Numbers: [162, 83] Generated Node #3: [162, 83] from Operation: 67+16=83 Current State: 79:[162, 83], Operations: ['80+82=162', '67+16=83'] Exploring Operation: 162-83=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 62, 1, 3, 48 ]
46
[ "62*1=62", "48/3=16", "62-16=46" ]
Current State: 46:[62, 1, 3, 48], Operations: [] Exploring Operation: 62*1=62, Resulting Numbers: [3, 48, 62] Generated Node #2: [3, 48, 62] from Operation: 62*1=62 Current State: 46:[3, 48, 62], Operations: ['62*1=62'] Exploring Operation: 48/3=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 48/3=16 Current State: 46:[62, 16], Operations: ['62*1=62', '48/3=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 13, 29, 40 ]
34
[ "13-5=8", "40/8=5", "29+5=34" ]
Current State: 34:[5, 13, 29, 40], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [29, 40, 8] Generated Node #2: [29, 40, 8] from Operation: 13-5=8 Current State: 34:[29, 40, 8], Operations: ['13-5=8'] Exploring Operation: 40/8=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 40/8=5 Current State: 34:[29, 5], Operations: ['13-5=8', '40/8=5'] Exploring Operation: 29+5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 91, 65, 13 ]
68
[ "91-18=73", "65/13=5", "73-5=68" ]
Current State: 68:[18, 91, 65, 13], Operations: [] Exploring Operation: 91-18=73, Resulting Numbers: [65, 13, 73] Generated Node #2: [65, 13, 73] from Operation: 91-18=73 Current State: 68:[65, 13, 73], Operations: ['91-18=73'] Exploring Operation: 65/13=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 65/13=5 Current State: 68:[73, 5], Operations: ['91-18=73', '65/13=5'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 58, 3, 25, 59 ]
86
[ "25+59=84", "84/3=28", "58+28=86" ]
Current State: 86:[58, 3, 25, 59], Operations: [] Exploring Operation: 25+59=84, Resulting Numbers: [58, 3, 84] Generated Node #2: [58, 3, 84] from Operation: 25+59=84 Current State: 86:[58, 3, 84], Operations: ['25+59=84'] Exploring Operation: 84/3=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 84/3=28 Current State: 86:[58, 28], Operations: ['25+59=84', '84/3=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 22, 25, 62, 41 ]
88
[ "62-25=37", "41-37=4", "22*4=88" ]
Current State: 88:[22, 25, 62, 41], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [22, 41, 37] Generated Node #2: [22, 41, 37] from Operation: 62-25=37 Current State: 88:[22, 41, 37], Operations: ['62-25=37'] Exploring Operation: 41-37=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 41-37=4 Current State: 88:[22, 4], Operations: ['62-25=37', '41-37=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 19, 32, 32 ]
52
[ "36-32=4", "32-19=13", "4*13=52" ]
Current State: 52:[36, 19, 32, 32], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [19, 4] Generated Node #2: [19, 4] from Operation: 36-32=4 Current State: 52:[19, 4], Operations: ['36-32=4'] Exploring Operation: 32-19=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 32-19=13 Current State: 52:[4, 13], Operations: ['36-32=4', '32-19=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 43, 23, 59, 66 ]
25
[ "23*66=1518", "1518-43=1475", "1475/59=25" ]
Current State: 25:[43, 23, 59, 66], Operations: [] Exploring Operation: 23*66=1518, Resulting Numbers: [43, 59, 1518] Generated Node #2: [43, 59, 1518] from Operation: 23*66=1518 Current State: 25:[43, 59, 1518], Operations: ['23*66=1518'] Exploring Operation: 1518-43=1475, Resulting Numbers: [59, 1475] Generated Node #3: [59, 1475] from Operation: 1518-43=1475 Current State: 25:[59, 1475], Operations: ['23*66=1518', '1518-43=1475'] Exploring Operation: 1475/59=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 77, 2, 29 ]
43
[ "77-29=48", "48/2=24", "19+24=43" ]
Current State: 43:[19, 77, 2, 29], Operations: [] Exploring Operation: 77-29=48, Resulting Numbers: [19, 2, 48] Generated Node #2: [19, 2, 48] from Operation: 77-29=48 Current State: 43:[19, 2, 48], Operations: ['77-29=48'] Exploring Operation: 48/2=24, Resulting Numbers: [19, 24] Generated Node #3: [19, 24] from Operation: 48/2=24 Current State: 43:[19, 24], Operations: ['77-29=48', '48/2=24'] Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 6, 26, 62 ]
98
[ "74-62=12", "6*12=72", "26+72=98" ]
Current State: 98:[74, 6, 26, 62], Operations: [] Exploring Operation: 74-62=12, Resulting Numbers: [6, 26, 12] Generated Node #2: [6, 26, 12] from Operation: 74-62=12 Current State: 98:[6, 26, 12], Operations: ['74-62=12'] Exploring Operation: 6*12=72, Resulting Numbers: [26, 72] Generated Node #3: [26, 72] from Operation: 6*12=72 Current State: 98:[26, 72], Operations: ['74-62=12', '6*12=72'] Exploring Operation: 26+72=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 38, 39, 58 ]
16
[ "75+38=113", "39+58=97", "113-97=16" ]
Current State: 16:[75, 38, 39, 58], Operations: [] Exploring Operation: 75+38=113, Resulting Numbers: [39, 58, 113] Generated Node #2: [39, 58, 113] from Operation: 75+38=113 Current State: 16:[39, 58, 113], Operations: ['75+38=113'] Exploring Operation: 39+58=97, Resulting Numbers: [113, 97] Generated Node #3: [113, 97] from Operation: 39+58=97 Current State: 16:[113, 97], Operations: ['75+38=113', '39+58=97'] Exploring Operation: 113-97=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 51, 96, 46 ]
51
[ "51/51=1", "96-46=50", "1+50=51" ]
Current State: 51:[51, 51, 96, 46], Operations: [] Exploring Operation: 51/51=1, Resulting Numbers: [96, 46, 1] Generated Node #2: [96, 46, 1] from Operation: 51/51=1 Current State: 51:[96, 46, 1], Operations: ['51/51=1'] Exploring Operation: 96-46=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 96-46=50 Current State: 51:[1, 50], Operations: ['51/51=1', '96-46=50'] Exploring Operation: 1+50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 33, 36, 64, 52 ]
29
[ "52-36=16", "64/16=4", "33-4=29" ]
Current State: 29:[33, 36, 64, 52], Operations: [] Exploring Operation: 52-36=16, Resulting Numbers: [33, 64, 16] Generated Node #2: [33, 64, 16] from Operation: 52-36=16 Current State: 29:[33, 64, 16], Operations: ['52-36=16'] Exploring Operation: 64/16=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 64/16=4 Current State: 29:[33, 4], Operations: ['52-36=16', '64/16=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 59, 14, 12, 72 ]
51
[ "59-14=45", "72/12=6", "45+6=51" ]
Current State: 51:[59, 14, 12, 72], Operations: [] Exploring Operation: 59-14=45, Resulting Numbers: [12, 72, 45] Generated Node #2: [12, 72, 45] from Operation: 59-14=45 Current State: 51:[12, 72, 45], Operations: ['59-14=45'] Exploring Operation: 72/12=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 72/12=6 Current State: 51:[45, 6], Operations: ['59-14=45', '72/12=6'] Exploring Operation: 45+6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 33, 25, 16 ]
12
[ "25/5=5", "33-16=17", "17-5=12" ]
Current State: 12:[5, 33, 25, 16], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [33, 16, 5] Generated Node #2: [33, 16, 5] from Operation: 25/5=5 Current State: 12:[33, 16, 5], Operations: ['25/5=5'] Exploring Operation: 33-16=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 33-16=17 Current State: 12:[5, 17], Operations: ['25/5=5', '33-16=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 75, 48, 76 ]
91
[ "44+75=119", "76-48=28", "119-28=91" ]
Current State: 91:[44, 75, 48, 76], Operations: [] Exploring Operation: 44+75=119, Resulting Numbers: [48, 76, 119] Generated Node #2: [48, 76, 119] from Operation: 44+75=119 Current State: 91:[48, 76, 119], Operations: ['44+75=119'] Exploring Operation: 76-48=28, Resulting Numbers: [119, 28] Generated Node #3: [119, 28] from Operation: 76-48=28 Current State: 91:[119, 28], Operations: ['44+75=119', '76-48=28'] Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 96, 57, 90, 84 ]
73
[ "90-84=6", "96/6=16", "57+16=73" ]
Current State: 73:[96, 57, 90, 84], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [96, 57, 6] Generated Node #2: [96, 57, 6] from Operation: 90-84=6 Current State: 73:[96, 57, 6], Operations: ['90-84=6'] Exploring Operation: 96/6=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 96/6=16 Current State: 73:[57, 16], Operations: ['90-84=6', '96/6=16'] Exploring Operation: 57+16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 66, 11, 8 ]
73
[ "45+11=56", "56/8=7", "66+7=73" ]
Current State: 73:[45, 66, 11, 8], Operations: [] Exploring Operation: 45+11=56, Resulting Numbers: [66, 8, 56] Generated Node #2: [66, 8, 56] from Operation: 45+11=56 Current State: 73:[66, 8, 56], Operations: ['45+11=56'] Exploring Operation: 56/8=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 56/8=7 Current State: 73:[66, 7], Operations: ['45+11=56', '56/8=7'] Exploring Operation: 66+7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 85, 43, 26, 42 ]
59
[ "85-26=59", "43-42=1", "59*1=59" ]
Current State: 59:[85, 43, 26, 42], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [43, 42, 59] Generated Node #2: [43, 42, 59] from Operation: 85-26=59 Current State: 59:[43, 42, 59], Operations: ['85-26=59'] Exploring Operation: 43-42=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 43-42=1 Current State: 59:[59, 1], Operations: ['85-26=59', '43-42=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 21, 20, 17 ]
15
[ "21-17=4", "75*4=300", "300/20=15" ]
Current State: 15:[75, 21, 20, 17], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [75, 20, 4] Generated Node #2: [75, 20, 4] from Operation: 21-17=4 Current State: 15:[75, 20, 4], Operations: ['21-17=4'] Exploring Operation: 75*4=300, Resulting Numbers: [20, 300] Generated Node #3: [20, 300] from Operation: 75*4=300 Current State: 15:[20, 300], Operations: ['21-17=4', '75*4=300'] Exploring Operation: 300/20=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 90, 72, 11, 80 ]
53
[ "72*80=5760", "5760/90=64", "64-11=53" ]
Current State: 53:[90, 72, 11, 80], Operations: [] Exploring Operation: 72*80=5760, Resulting Numbers: [90, 11, 5760] Generated Node #2: [90, 11, 5760] from Operation: 72*80=5760 Current State: 53:[90, 11, 5760], Operations: ['72*80=5760'] Exploring Operation: 5760/90=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 5760/90=64 Current State: 53:[11, 64], Operations: ['72*80=5760', '5760/90=64'] Exploring Operation: 64-11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 51, 51, 83 ]
38
[ "51+51=102", "102-83=19", "2*19=38" ]
Current State: 38:[2, 51, 51, 83], Operations: [] Exploring Operation: 51+51=102, Resulting Numbers: [2, 83, 102] Generated Node #2: [2, 83, 102] from Operation: 51+51=102 Current State: 38:[2, 83, 102], Operations: ['51+51=102'] Exploring Operation: 102-83=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 102-83=19 Current State: 38:[2, 19], Operations: ['51+51=102', '102-83=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 53, 29, 17, 62 ]
21
[ "53-29=24", "62-17=45", "45-24=21" ]
Current State: 21:[53, 29, 17, 62], Operations: [] Exploring Operation: 53-29=24, Resulting Numbers: [17, 62, 24] Generated Node #2: [17, 62, 24] from Operation: 53-29=24 Current State: 21:[17, 62, 24], Operations: ['53-29=24'] Exploring Operation: 62-17=45, Resulting Numbers: [24, 45] Generated Node #3: [24, 45] from Operation: 62-17=45 Current State: 21:[24, 45], Operations: ['53-29=24', '62-17=45'] Exploring Operation: 45-24=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 19, 87, 8 ]
30
[ "87+8=95", "95/19=5", "25+5=30" ]
Current State: 30:[25, 19, 87, 8], Operations: [] Exploring Operation: 87+8=95, Resulting Numbers: [25, 19, 95] Generated Node #2: [25, 19, 95] from Operation: 87+8=95 Current State: 30:[25, 19, 95], Operations: ['87+8=95'] Exploring Operation: 95/19=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 95/19=5 Current State: 30:[25, 5], Operations: ['87+8=95', '95/19=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 16, 79, 25, 66 ]
22
[ "79-16=63", "66-25=41", "63-41=22" ]
Current State: 22:[16, 79, 25, 66], Operations: [] Exploring Operation: 79-16=63, Resulting Numbers: [25, 66, 63] Generated Node #2: [25, 66, 63] from Operation: 79-16=63 Current State: 22:[25, 66, 63], Operations: ['79-16=63'] Exploring Operation: 66-25=41, Resulting Numbers: [63, 41] Generated Node #3: [63, 41] from Operation: 66-25=41 Current State: 22:[63, 41], Operations: ['79-16=63', '66-25=41'] Exploring Operation: 63-41=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 2, 15, 58 ]
20
[ "45/15=3", "2+58=60", "60/3=20" ]
Current State: 20:[45, 2, 15, 58], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [2, 58, 3] Generated Node #2: [2, 58, 3] from Operation: 45/15=3 Current State: 20:[2, 58, 3], Operations: ['45/15=3'] Exploring Operation: 2+58=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 2+58=60 Current State: 20:[3, 60], Operations: ['45/15=3', '2+58=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 65, 72, 5, 98 ]
34
[ "65+72=137", "5+98=103", "137-103=34" ]
Current State: 34:[65, 72, 5, 98], Operations: [] Exploring Operation: 65+72=137, Resulting Numbers: [5, 98, 137] Generated Node #2: [5, 98, 137] from Operation: 65+72=137 Current State: 34:[5, 98, 137], Operations: ['65+72=137'] Exploring Operation: 5+98=103, Resulting Numbers: [137, 103] Generated Node #3: [137, 103] from Operation: 5+98=103 Current State: 34:[137, 103], Operations: ['65+72=137', '5+98=103'] Exploring Operation: 137-103=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 23, 97, 81, 26 ]
93
[ "23+81=104", "104/26=4", "97-4=93" ]
Current State: 93:[23, 97, 81, 26], Operations: [] Exploring Operation: 23+81=104, Resulting Numbers: [97, 26, 104] Generated Node #2: [97, 26, 104] from Operation: 23+81=104 Current State: 93:[97, 26, 104], Operations: ['23+81=104'] Exploring Operation: 104/26=4, Resulting Numbers: [97, 4] Generated Node #3: [97, 4] from Operation: 104/26=4 Current State: 93:[97, 4], Operations: ['23+81=104', '104/26=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 27, 12, 8 ]
27
[ "81+27=108", "12-8=4", "108/4=27" ]
Current State: 27:[81, 27, 12, 8], Operations: [] Exploring Operation: 81+27=108, Resulting Numbers: [12, 8, 108] Generated Node #2: [12, 8, 108] from Operation: 81+27=108 Current State: 27:[12, 8, 108], Operations: ['81+27=108'] Exploring Operation: 12-8=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 12-8=4 Current State: 27:[108, 4], Operations: ['81+27=108', '12-8=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 36, 61, 97 ]
76
[ "4+36=40", "97-61=36", "40+36=76" ]
Current State: 76:[4, 36, 61, 97], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [61, 97, 40] Generated Node #2: [61, 97, 40] from Operation: 4+36=40 Current State: 76:[61, 97, 40], Operations: ['4+36=40'] Exploring Operation: 97-61=36, Resulting Numbers: [40, 36] Generated Node #3: [40, 36] from Operation: 97-61=36 Current State: 76:[40, 36], Operations: ['4+36=40', '97-61=36'] Exploring Operation: 40+36=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 87, 57, 81 ]
58
[ "87-5=82", "81-57=24", "82-24=58" ]
Current State: 58:[5, 87, 57, 81], Operations: [] Exploring Operation: 87-5=82, Resulting Numbers: [57, 81, 82] Generated Node #2: [57, 81, 82] from Operation: 87-5=82 Current State: 58:[57, 81, 82], Operations: ['87-5=82'] Exploring Operation: 81-57=24, Resulting Numbers: [82, 24] Generated Node #3: [82, 24] from Operation: 81-57=24 Current State: 58:[82, 24], Operations: ['87-5=82', '81-57=24'] Exploring Operation: 82-24=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 86, 16, 65 ]
18
[ "16*65=1040", "1040-86=954", "954/53=18" ]
Current State: 18:[53, 86, 16, 65], Operations: [] Exploring Operation: 16*65=1040, Resulting Numbers: [53, 86, 1040] Generated Node #2: [53, 86, 1040] from Operation: 16*65=1040 Current State: 18:[53, 86, 1040], Operations: ['16*65=1040'] Exploring Operation: 1040-86=954, Resulting Numbers: [53, 954] Generated Node #3: [53, 954] from Operation: 1040-86=954 Current State: 18:[53, 954], Operations: ['16*65=1040', '1040-86=954'] Exploring Operation: 954/53=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 86, 45, 6, 46 ]
47
[ "86+6=92", "92/46=2", "45+2=47" ]
Current State: 47:[86, 45, 6, 46], Operations: [] Exploring Operation: 86+6=92, Resulting Numbers: [45, 46, 92] Generated Node #2: [45, 46, 92] from Operation: 86+6=92 Current State: 47:[45, 46, 92], Operations: ['86+6=92'] Exploring Operation: 92/46=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 92/46=2 Current State: 47:[45, 2], Operations: ['86+6=92', '92/46=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 66, 42, 2 ]
34
[ "66-42=24", "24/2=12", "46-12=34" ]
Current State: 34:[46, 66, 42, 2], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [46, 2, 24] Generated Node #2: [46, 2, 24] from Operation: 66-42=24 Current State: 34:[46, 2, 24], Operations: ['66-42=24'] Exploring Operation: 24/2=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 24/2=12 Current State: 34:[46, 12], Operations: ['66-42=24', '24/2=12'] Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 3, 65, 90 ]
57
[ "16+65=81", "90+81=171", "171/3=57" ]
Current State: 57:[16, 3, 65, 90], Operations: [] Exploring Operation: 16+65=81, Resulting Numbers: [3, 90, 81] Generated Node #2: [3, 90, 81] from Operation: 16+65=81 Current State: 57:[3, 90, 81], Operations: ['16+65=81'] Exploring Operation: 90+81=171, Resulting Numbers: [3, 171] Generated Node #3: [3, 171] from Operation: 90+81=171 Current State: 57:[3, 171], Operations: ['16+65=81', '90+81=171'] Exploring Operation: 171/3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 13, 17, 27, 38 ]
35
[ "13+17=30", "27+38=65", "65-30=35" ]
Current State: 35:[13, 17, 27, 38], Operations: [] Exploring Operation: 13+17=30, Resulting Numbers: [27, 38, 30] Generated Node #2: [27, 38, 30] from Operation: 13+17=30 Current State: 35:[27, 38, 30], Operations: ['13+17=30'] Exploring Operation: 27+38=65, Resulting Numbers: [30, 65] Generated Node #3: [30, 65] from Operation: 27+38=65 Current State: 35:[30, 65], Operations: ['13+17=30', '27+38=65'] Exploring Operation: 65-30=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4