Datasets:

nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 17, 49, 3, 89 ]
25
[ "89-17=72", "72/3=24", "49-24=25" ]
Current State: 25:[17, 49, 3, 89], Operations: [] Exploring Operation: 89-17=72, Resulting Numbers: [49, 3, 72] Generated Node #2: [49, 3, 72] from Operation: 89-17=72 Current State: 25:[49, 3, 72], Operations: ['89-17=72'] Exploring Operation: 72/3=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 72/3=24 Current State: 25:[49, 24], Operations: ['89-17=72', '72/3=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 89, 51, 46, 1 ]
83
[ "89-51=38", "46-1=45", "38+45=83" ]
Current State: 83:[89, 51, 46, 1], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [46, 1, 38] Generated Node #2: [46, 1, 38] from Operation: 89-51=38 Current State: 83:[46, 1, 38], Operations: ['89-51=38'] Exploring Operation: 46-1=45, Resulting Numbers: [38, 45] Generated Node #3: [38, 45] from Operation: 46-1=45 Current State: 83:[38, 45], Operations: ['89-51=38', '46-1=45'] Exploring Operation: 38+45=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 50, 84, 18 ]
64
[ "50*18=900", "900/45=20", "84-20=64" ]
Current State: 64:[45, 50, 84, 18], Operations: [] Exploring Operation: 50*18=900, Resulting Numbers: [45, 84, 900] Generated Node #2: [45, 84, 900] from Operation: 50*18=900 Current State: 64:[45, 84, 900], Operations: ['50*18=900'] Exploring Operation: 900/45=20, Resulting Numbers: [84, 20] Generated Node #3: [84, 20] from Operation: 900/45=20 Current State: 64:[84, 20], Operations: ['50*18=900', '900/45=20'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 1, 44, 16, 18 ]
77
[ "44-1=43", "16+18=34", "43+34=77" ]
Current State: 77:[1, 44, 16, 18], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [16, 18, 43] Generated Node #2: [16, 18, 43] from Operation: 44-1=43 Current State: 77:[16, 18, 43], Operations: ['44-1=43'] Exploring Operation: 16+18=34, Resulting Numbers: [43, 34] Generated Node #3: [43, 34] from Operation: 16+18=34 Current State: 77:[43, 34], Operations: ['44-1=43', '16+18=34'] Exploring Operation: 43+34=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 54, 64, 21, 29 ]
16
[ "54-21=33", "33-29=4", "64/4=16" ]
Current State: 16:[54, 64, 21, 29], Operations: [] Exploring Operation: 54-21=33, Resulting Numbers: [64, 29, 33] Generated Node #2: [64, 29, 33] from Operation: 54-21=33 Current State: 16:[64, 29, 33], Operations: ['54-21=33'] Exploring Operation: 33-29=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 33-29=4 Current State: 16:[64, 4], Operations: ['54-21=33', '33-29=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 33, 52, 25, 86 ]
92
[ "52-33=19", "25+86=111", "111-19=92" ]
Current State: 92:[33, 52, 25, 86], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [25, 86, 19] Generated Node #2: [25, 86, 19] from Operation: 52-33=19 Current State: 92:[25, 86, 19], Operations: ['52-33=19'] Exploring Operation: 25+86=111, Resulting Numbers: [19, 111] Generated Node #3: [19, 111] from Operation: 25+86=111 Current State: 92:[19, 111], Operations: ['52-33=19', '25+86=111'] Exploring Operation: 111-19=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 54, 48, 40 ]
54
[ "8+54=62", "48-40=8", "62-8=54" ]
Current State: 54:[8, 54, 48, 40], Operations: [] Exploring Operation: 8+54=62, Resulting Numbers: [48, 40, 62] Generated Node #2: [48, 40, 62] from Operation: 8+54=62 Current State: 54:[48, 40, 62], Operations: ['8+54=62'] Exploring Operation: 48-40=8, Resulting Numbers: [62, 8] Generated Node #3: [62, 8] from Operation: 48-40=8 Current State: 54:[62, 8], Operations: ['8+54=62', '48-40=8'] Exploring Operation: 62-8=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 34, 70, 67, 82 ]
89
[ "34+70=104", "82-67=15", "104-15=89" ]
Current State: 89:[34, 70, 67, 82], Operations: [] Exploring Operation: 34+70=104, Resulting Numbers: [67, 82, 104] Generated Node #2: [67, 82, 104] from Operation: 34+70=104 Current State: 89:[67, 82, 104], Operations: ['34+70=104'] Exploring Operation: 82-67=15, Resulting Numbers: [104, 15] Generated Node #3: [104, 15] from Operation: 82-67=15 Current State: 89:[104, 15], Operations: ['34+70=104', '82-67=15'] Exploring Operation: 104-15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 38, 3, 66 ]
30
[ "62-38=24", "66+24=90", "90/3=30" ]
Current State: 30:[62, 38, 3, 66], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [3, 66, 24] Generated Node #2: [3, 66, 24] from Operation: 62-38=24 Current State: 30:[3, 66, 24], Operations: ['62-38=24'] Exploring Operation: 66+24=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 66+24=90 Current State: 30:[3, 90], Operations: ['62-38=24', '66+24=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 50, 45, 72 ]
10
[ "65*50=3250", "45*72=3240", "3250-3240=10" ]
Current State: 10:[65, 50, 45, 72], Operations: [] Exploring Operation: 65*50=3250, Resulting Numbers: [45, 72, 3250] Generated Node #2: [45, 72, 3250] from Operation: 65*50=3250 Current State: 10:[45, 72, 3250], Operations: ['65*50=3250'] Exploring Operation: 45*72=3240, Resulting Numbers: [3250, 3240] Generated Node #3: [3250, 3240] from Operation: 45*72=3240 Current State: 10:[3250, 3240], Operations: ['65*50=3250', '45*72=3240'] Exploring Operation: 3250-3240=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 59, 30, 50, 59 ]
81
[ "59/59=1", "30+50=80", "1+80=81" ]
Current State: 81:[59, 30, 50, 59], Operations: [] Exploring Operation: 59/59=1, Resulting Numbers: [30, 50, 1] Generated Node #2: [30, 50, 1] from Operation: 59/59=1 Current State: 81:[30, 50, 1], Operations: ['59/59=1'] Exploring Operation: 30+50=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 30+50=80 Current State: 81:[1, 80], Operations: ['59/59=1', '30+50=80'] Exploring Operation: 1+80=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 55, 82, 94 ]
51
[ "8+55=63", "94-82=12", "63-12=51" ]
Current State: 51:[8, 55, 82, 94], Operations: [] Exploring Operation: 8+55=63, Resulting Numbers: [82, 94, 63] Generated Node #2: [82, 94, 63] from Operation: 8+55=63 Current State: 51:[82, 94, 63], Operations: ['8+55=63'] Exploring Operation: 94-82=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 94-82=12 Current State: 51:[63, 12], Operations: ['8+55=63', '94-82=12'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 30, 78, 65 ]
35
[ "65/5=13", "78-30=48", "48-13=35" ]
Current State: 35:[5, 30, 78, 65], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [30, 78, 13] Generated Node #2: [30, 78, 13] from Operation: 65/5=13 Current State: 35:[30, 78, 13], Operations: ['65/5=13'] Exploring Operation: 78-30=48, Resulting Numbers: [13, 48] Generated Node #3: [13, 48] from Operation: 78-30=48 Current State: 35:[13, 48], Operations: ['65/5=13', '78-30=48'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 46, 20, 39, 42 ]
44
[ "46-42=4", "20/4=5", "39+5=44" ]
Current State: 44:[46, 20, 39, 42], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [20, 39, 4] Generated Node #2: [20, 39, 4] from Operation: 46-42=4 Current State: 44:[20, 39, 4], Operations: ['46-42=4'] Exploring Operation: 20/4=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 20/4=5 Current State: 44:[39, 5], Operations: ['46-42=4', '20/4=5'] Exploring Operation: 39+5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 17, 18, 53 ]
60
[ "53-17=36", "36/18=2", "58+2=60" ]
Current State: 60:[58, 17, 18, 53], Operations: [] Exploring Operation: 53-17=36, Resulting Numbers: [58, 18, 36] Generated Node #2: [58, 18, 36] from Operation: 53-17=36 Current State: 60:[58, 18, 36], Operations: ['53-17=36'] Exploring Operation: 36/18=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 36/18=2 Current State: 60:[58, 2], Operations: ['53-17=36', '36/18=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 28, 34, 37 ]
24
[ "75-28=47", "34+37=71", "71-47=24" ]
Current State: 24:[75, 28, 34, 37], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [34, 37, 47] Generated Node #2: [34, 37, 47] from Operation: 75-28=47 Current State: 24:[34, 37, 47], Operations: ['75-28=47'] Exploring Operation: 34+37=71, Resulting Numbers: [47, 71] Generated Node #3: [47, 71] from Operation: 34+37=71 Current State: 24:[47, 71], Operations: ['75-28=47', '34+37=71'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 23, 91, 3, 35 ]
52
[ "23-3=20", "91*20=1820", "1820/35=52" ]
Current State: 52:[23, 91, 3, 35], Operations: [] Exploring Operation: 23-3=20, Resulting Numbers: [91, 35, 20] Generated Node #2: [91, 35, 20] from Operation: 23-3=20 Current State: 52:[91, 35, 20], Operations: ['23-3=20'] Exploring Operation: 91*20=1820, Resulting Numbers: [35, 1820] Generated Node #3: [35, 1820] from Operation: 91*20=1820 Current State: 52:[35, 1820], Operations: ['23-3=20', '91*20=1820'] Exploring Operation: 1820/35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 98, 73, 13 ]
79
[ "98/14=7", "73+13=86", "86-7=79" ]
Current State: 79:[14, 98, 73, 13], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [73, 13, 7] Generated Node #2: [73, 13, 7] from Operation: 98/14=7 Current State: 79:[73, 13, 7], Operations: ['98/14=7'] Exploring Operation: 73+13=86, Resulting Numbers: [7, 86] Generated Node #3: [7, 86] from Operation: 73+13=86 Current State: 79:[7, 86], Operations: ['98/14=7', '73+13=86'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 38, 6, 2, 7 ]
17
[ "6/2=3", "7*3=21", "38-21=17" ]
Current State: 17:[38, 6, 2, 7], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [38, 7, 3] Generated Node #2: [38, 7, 3] from Operation: 6/2=3 Current State: 17:[38, 7, 3], Operations: ['6/2=3'] Exploring Operation: 7*3=21, Resulting Numbers: [38, 21] Generated Node #3: [38, 21] from Operation: 7*3=21 Current State: 17:[38, 21], Operations: ['6/2=3', '7*3=21'] Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 30, 30, 6, 15 ]
39
[ "30+30=60", "6+15=21", "60-21=39" ]
Current State: 39:[30, 30, 6, 15], Operations: [] Exploring Operation: 30+30=60, Resulting Numbers: [6, 15, 60] Generated Node #2: [6, 15, 60] from Operation: 30+30=60 Current State: 39:[6, 15, 60], Operations: ['30+30=60'] Exploring Operation: 6+15=21, Resulting Numbers: [60, 21] Generated Node #3: [60, 21] from Operation: 6+15=21 Current State: 39:[60, 21], Operations: ['30+30=60', '6+15=21'] Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 39, 61, 65 ]
42
[ "7+39=46", "65-61=4", "46-4=42" ]
Current State: 42:[7, 39, 61, 65], Operations: [] Exploring Operation: 7+39=46, Resulting Numbers: [61, 65, 46] Generated Node #2: [61, 65, 46] from Operation: 7+39=46 Current State: 42:[61, 65, 46], Operations: ['7+39=46'] Exploring Operation: 65-61=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 65-61=4 Current State: 42:[46, 4], Operations: ['7+39=46', '65-61=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 21, 4, 10, 67 ]
13
[ "67-4=63", "63/21=3", "10+3=13" ]
Current State: 13:[21, 4, 10, 67], Operations: [] Exploring Operation: 67-4=63, Resulting Numbers: [21, 10, 63] Generated Node #2: [21, 10, 63] from Operation: 67-4=63 Current State: 13:[21, 10, 63], Operations: ['67-4=63'] Exploring Operation: 63/21=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 63/21=3 Current State: 13:[10, 3], Operations: ['67-4=63', '63/21=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 99, 94, 27 ]
16
[ "30*99=2970", "2970/27=110", "110-94=16" ]
Current State: 16:[30, 99, 94, 27], Operations: [] Exploring Operation: 30*99=2970, Resulting Numbers: [94, 27, 2970] Generated Node #2: [94, 27, 2970] from Operation: 30*99=2970 Current State: 16:[94, 27, 2970], Operations: ['30*99=2970'] Exploring Operation: 2970/27=110, Resulting Numbers: [94, 110] Generated Node #3: [94, 110] from Operation: 2970/27=110 Current State: 16:[94, 110], Operations: ['30*99=2970', '2970/27=110'] Exploring Operation: 110-94=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 39, 3, 77 ]
47
[ "49-39=10", "3*10=30", "77-30=47" ]
Current State: 47:[49, 39, 3, 77], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [3, 77, 10] Generated Node #2: [3, 77, 10] from Operation: 49-39=10 Current State: 47:[3, 77, 10], Operations: ['49-39=10'] Exploring Operation: 3*10=30, Resulting Numbers: [77, 30] Generated Node #3: [77, 30] from Operation: 3*10=30 Current State: 47:[77, 30], Operations: ['49-39=10', '3*10=30'] Exploring Operation: 77-30=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 37, 28, 15, 66 ]
31
[ "37-15=22", "66/22=3", "28+3=31" ]
Current State: 31:[37, 28, 15, 66], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [28, 66, 22] Generated Node #2: [28, 66, 22] from Operation: 37-15=22 Current State: 31:[28, 66, 22], Operations: ['37-15=22'] Exploring Operation: 66/22=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 66/22=3 Current State: 31:[28, 3], Operations: ['37-15=22', '66/22=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 74, 97, 49, 92 ]
66
[ "97-74=23", "92-49=43", "23+43=66" ]
Current State: 66:[74, 97, 49, 92], Operations: [] Exploring Operation: 97-74=23, Resulting Numbers: [49, 92, 23] Generated Node #2: [49, 92, 23] from Operation: 97-74=23 Current State: 66:[49, 92, 23], Operations: ['97-74=23'] Exploring Operation: 92-49=43, Resulting Numbers: [23, 43] Generated Node #3: [23, 43] from Operation: 92-49=43 Current State: 66:[23, 43], Operations: ['97-74=23', '92-49=43'] Exploring Operation: 23+43=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 39, 71, 36 ]
96
[ "71-39=32", "36-32=4", "24*4=96" ]
Current State: 96:[24, 39, 71, 36], Operations: [] Exploring Operation: 71-39=32, Resulting Numbers: [24, 36, 32] Generated Node #2: [24, 36, 32] from Operation: 71-39=32 Current State: 96:[24, 36, 32], Operations: ['71-39=32'] Exploring Operation: 36-32=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 36-32=4 Current State: 96:[24, 4], Operations: ['71-39=32', '36-32=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 92, 24, 86, 42 ]
72
[ "92+24=116", "86-42=44", "116-44=72" ]
Current State: 72:[92, 24, 86, 42], Operations: [] Exploring Operation: 92+24=116, Resulting Numbers: [86, 42, 116] Generated Node #2: [86, 42, 116] from Operation: 92+24=116 Current State: 72:[86, 42, 116], Operations: ['92+24=116'] Exploring Operation: 86-42=44, Resulting Numbers: [116, 44] Generated Node #3: [116, 44] from Operation: 86-42=44 Current State: 72:[116, 44], Operations: ['92+24=116', '86-42=44'] Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 10, 40, 25, 37 ]
42
[ "40-10=30", "37-25=12", "30+12=42" ]
Current State: 42:[10, 40, 25, 37], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [25, 37, 30] Generated Node #2: [25, 37, 30] from Operation: 40-10=30 Current State: 42:[25, 37, 30], Operations: ['40-10=30'] Exploring Operation: 37-25=12, Resulting Numbers: [30, 12] Generated Node #3: [30, 12] from Operation: 37-25=12 Current State: 42:[30, 12], Operations: ['40-10=30', '37-25=12'] Exploring Operation: 30+12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 89, 84, 90 ]
17
[ "68+89=157", "84+90=174", "174-157=17" ]
Current State: 17:[68, 89, 84, 90], Operations: [] Exploring Operation: 68+89=157, Resulting Numbers: [84, 90, 157] Generated Node #2: [84, 90, 157] from Operation: 68+89=157 Current State: 17:[84, 90, 157], Operations: ['68+89=157'] Exploring Operation: 84+90=174, Resulting Numbers: [157, 174] Generated Node #3: [157, 174] from Operation: 84+90=174 Current State: 17:[157, 174], Operations: ['68+89=157', '84+90=174'] Exploring Operation: 174-157=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 52, 49, 23 ]
55
[ "23-21=2", "52*2=104", "104-49=55" ]
Current State: 55:[21, 52, 49, 23], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [52, 49, 2] Generated Node #2: [52, 49, 2] from Operation: 23-21=2 Current State: 55:[52, 49, 2], Operations: ['23-21=2'] Exploring Operation: 52*2=104, Resulting Numbers: [49, 104] Generated Node #3: [49, 104] from Operation: 52*2=104 Current State: 55:[49, 104], Operations: ['23-21=2', '52*2=104'] Exploring Operation: 104-49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 5, 68, 12, 26 ]
49
[ "68-5=63", "26-12=14", "63-14=49" ]
Current State: 49:[5, 68, 12, 26], Operations: [] Exploring Operation: 68-5=63, Resulting Numbers: [12, 26, 63] Generated Node #2: [12, 26, 63] from Operation: 68-5=63 Current State: 49:[12, 26, 63], Operations: ['68-5=63'] Exploring Operation: 26-12=14, Resulting Numbers: [63, 14] Generated Node #3: [63, 14] from Operation: 26-12=14 Current State: 49:[63, 14], Operations: ['68-5=63', '26-12=14'] Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 14, 80, 81, 16 ]
79
[ "16-14=2", "80*2=160", "160-81=79" ]
Current State: 79:[14, 80, 81, 16], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [80, 81, 2] Generated Node #2: [80, 81, 2] from Operation: 16-14=2 Current State: 79:[80, 81, 2], Operations: ['16-14=2'] Exploring Operation: 80*2=160, Resulting Numbers: [81, 160] Generated Node #3: [81, 160] from Operation: 80*2=160 Current State: 79:[81, 160], Operations: ['16-14=2', '80*2=160'] Exploring Operation: 160-81=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 35, 59, 5, 42 ]
78
[ "59-35=24", "5*24=120", "120-42=78" ]
Current State: 78:[35, 59, 5, 42], Operations: [] Exploring Operation: 59-35=24, Resulting Numbers: [5, 42, 24] Generated Node #2: [5, 42, 24] from Operation: 59-35=24 Current State: 78:[5, 42, 24], Operations: ['59-35=24'] Exploring Operation: 5*24=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 5*24=120 Current State: 78:[42, 120], Operations: ['59-35=24', '5*24=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 49, 93, 56 ]
31
[ "4+49=53", "56-53=3", "93/3=31" ]
Current State: 31:[4, 49, 93, 56], Operations: [] Exploring Operation: 4+49=53, Resulting Numbers: [93, 56, 53] Generated Node #2: [93, 56, 53] from Operation: 4+49=53 Current State: 31:[93, 56, 53], Operations: ['4+49=53'] Exploring Operation: 56-53=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 56-53=3 Current State: 31:[93, 3], Operations: ['4+49=53', '56-53=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 12, 79, 76 ]
82
[ "61+12=73", "79+76=155", "155-73=82" ]
Current State: 82:[61, 12, 79, 76], Operations: [] Exploring Operation: 61+12=73, Resulting Numbers: [79, 76, 73] Generated Node #2: [79, 76, 73] from Operation: 61+12=73 Current State: 82:[79, 76, 73], Operations: ['61+12=73'] Exploring Operation: 79+76=155, Resulting Numbers: [73, 155] Generated Node #3: [73, 155] from Operation: 79+76=155 Current State: 82:[73, 155], Operations: ['61+12=73', '79+76=155'] Exploring Operation: 155-73=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 88, 24, 28, 39 ]
43
[ "88+24=112", "112/28=4", "39+4=43" ]
Current State: 43:[88, 24, 28, 39], Operations: [] Exploring Operation: 88+24=112, Resulting Numbers: [28, 39, 112] Generated Node #2: [28, 39, 112] from Operation: 88+24=112 Current State: 43:[28, 39, 112], Operations: ['88+24=112'] Exploring Operation: 112/28=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 112/28=4 Current State: 43:[39, 4], Operations: ['88+24=112', '112/28=4'] Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 8, 62, 17, 1 ]
88
[ "8+62=70", "17+1=18", "70+18=88" ]
Current State: 88:[8, 62, 17, 1], Operations: [] Exploring Operation: 8+62=70, Resulting Numbers: [17, 1, 70] Generated Node #2: [17, 1, 70] from Operation: 8+62=70 Current State: 88:[17, 1, 70], Operations: ['8+62=70'] Exploring Operation: 17+1=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 17+1=18 Current State: 88:[70, 18], Operations: ['8+62=70', '17+1=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 30, 97, 17, 68 ]
23
[ "30*68=2040", "2040/17=120", "120-97=23" ]
Current State: 23:[30, 97, 17, 68], Operations: [] Exploring Operation: 30*68=2040, Resulting Numbers: [97, 17, 2040] Generated Node #2: [97, 17, 2040] from Operation: 30*68=2040 Current State: 23:[97, 17, 2040], Operations: ['30*68=2040'] Exploring Operation: 2040/17=120, Resulting Numbers: [97, 120] Generated Node #3: [97, 120] from Operation: 2040/17=120 Current State: 23:[97, 120], Operations: ['30*68=2040', '2040/17=120'] Exploring Operation: 120-97=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 14, 32, 3, 55 ]
43
[ "32+55=87", "87/3=29", "14+29=43" ]
Current State: 43:[14, 32, 3, 55], Operations: [] Exploring Operation: 32+55=87, Resulting Numbers: [14, 3, 87] Generated Node #2: [14, 3, 87] from Operation: 32+55=87 Current State: 43:[14, 3, 87], Operations: ['32+55=87'] Exploring Operation: 87/3=29, Resulting Numbers: [14, 29] Generated Node #3: [14, 29] from Operation: 87/3=29 Current State: 43:[14, 29], Operations: ['32+55=87', '87/3=29'] Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 12, 18, 63 ]
39
[ "36*12=432", "432/18=24", "63-24=39" ]
Current State: 39:[36, 12, 18, 63], Operations: [] Exploring Operation: 36*12=432, Resulting Numbers: [18, 63, 432] Generated Node #2: [18, 63, 432] from Operation: 36*12=432 Current State: 39:[18, 63, 432], Operations: ['36*12=432'] Exploring Operation: 432/18=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 432/18=24 Current State: 39:[63, 24], Operations: ['36*12=432', '432/18=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 62, 60, 51, 59 ]
12
[ "62+60=122", "51+59=110", "122-110=12" ]
Current State: 12:[62, 60, 51, 59], Operations: [] Exploring Operation: 62+60=122, Resulting Numbers: [51, 59, 122] Generated Node #2: [51, 59, 122] from Operation: 62+60=122 Current State: 12:[51, 59, 122], Operations: ['62+60=122'] Exploring Operation: 51+59=110, Resulting Numbers: [122, 110] Generated Node #3: [122, 110] from Operation: 51+59=110 Current State: 12:[122, 110], Operations: ['62+60=122', '51+59=110'] Exploring Operation: 122-110=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 43, 44, 3, 89 ]
87
[ "44-43=1", "89-3=86", "1+86=87" ]
Current State: 87:[43, 44, 3, 89], Operations: [] Exploring Operation: 44-43=1, Resulting Numbers: [3, 89, 1] Generated Node #2: [3, 89, 1] from Operation: 44-43=1 Current State: 87:[3, 89, 1], Operations: ['44-43=1'] Exploring Operation: 89-3=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 89-3=86 Current State: 87:[1, 86], Operations: ['44-43=1', '89-3=86'] Exploring Operation: 1+86=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 63, 25, 9 ]
25
[ "63-22=41", "25-9=16", "41-16=25" ]
Current State: 25:[22, 63, 25, 9], Operations: [] Exploring Operation: 63-22=41, Resulting Numbers: [25, 9, 41] Generated Node #2: [25, 9, 41] from Operation: 63-22=41 Current State: 25:[25, 9, 41], Operations: ['63-22=41'] Exploring Operation: 25-9=16, Resulting Numbers: [41, 16] Generated Node #3: [41, 16] from Operation: 25-9=16 Current State: 25:[41, 16], Operations: ['63-22=41', '25-9=16'] Exploring Operation: 41-16=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 89, 7, 63 ]
78
[ "59+89=148", "7+63=70", "148-70=78" ]
Current State: 78:[59, 89, 7, 63], Operations: [] Exploring Operation: 59+89=148, Resulting Numbers: [7, 63, 148] Generated Node #2: [7, 63, 148] from Operation: 59+89=148 Current State: 78:[7, 63, 148], Operations: ['59+89=148'] Exploring Operation: 7+63=70, Resulting Numbers: [148, 70] Generated Node #3: [148, 70] from Operation: 7+63=70 Current State: 78:[148, 70], Operations: ['59+89=148', '7+63=70'] Exploring Operation: 148-70=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 23, 41, 80, 69 ]
16
[ "23+41=64", "69-64=5", "80/5=16" ]
Current State: 16:[23, 41, 80, 69], Operations: [] Exploring Operation: 23+41=64, Resulting Numbers: [80, 69, 64] Generated Node #2: [80, 69, 64] from Operation: 23+41=64 Current State: 16:[80, 69, 64], Operations: ['23+41=64'] Exploring Operation: 69-64=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 69-64=5 Current State: 16:[80, 5], Operations: ['23+41=64', '69-64=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 9, 46, 18 ]
33
[ "9+46=55", "18*55=990", "990/30=33" ]
Current State: 33:[30, 9, 46, 18], Operations: [] Exploring Operation: 9+46=55, Resulting Numbers: [30, 18, 55] Generated Node #2: [30, 18, 55] from Operation: 9+46=55 Current State: 33:[30, 18, 55], Operations: ['9+46=55'] Exploring Operation: 18*55=990, Resulting Numbers: [30, 990] Generated Node #3: [30, 990] from Operation: 18*55=990 Current State: 33:[30, 990], Operations: ['9+46=55', '18*55=990'] Exploring Operation: 990/30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 6, 77, 78 ]
45
[ "6+77=83", "83-78=5", "9*5=45" ]
Current State: 45:[9, 6, 77, 78], Operations: [] Exploring Operation: 6+77=83, Resulting Numbers: [9, 78, 83] Generated Node #2: [9, 78, 83] from Operation: 6+77=83 Current State: 45:[9, 78, 83], Operations: ['6+77=83'] Exploring Operation: 83-78=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 83-78=5 Current State: 45:[9, 5], Operations: ['6+77=83', '83-78=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 15, 59, 80, 20 ]
56
[ "59-15=44", "80+20=100", "100-44=56" ]
Current State: 56:[15, 59, 80, 20], Operations: [] Exploring Operation: 59-15=44, Resulting Numbers: [80, 20, 44] Generated Node #2: [80, 20, 44] from Operation: 59-15=44 Current State: 56:[80, 20, 44], Operations: ['59-15=44'] Exploring Operation: 80+20=100, Resulting Numbers: [44, 100] Generated Node #3: [44, 100] from Operation: 80+20=100 Current State: 56:[44, 100], Operations: ['59-15=44', '80+20=100'] Exploring Operation: 100-44=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 98, 2, 49, 15 ]
36
[ "98+2=100", "49+15=64", "100-64=36" ]
Current State: 36:[98, 2, 49, 15], Operations: [] Exploring Operation: 98+2=100, Resulting Numbers: [49, 15, 100] Generated Node #2: [49, 15, 100] from Operation: 98+2=100 Current State: 36:[49, 15, 100], Operations: ['98+2=100'] Exploring Operation: 49+15=64, Resulting Numbers: [100, 64] Generated Node #3: [100, 64] from Operation: 49+15=64 Current State: 36:[100, 64], Operations: ['98+2=100', '49+15=64'] Exploring Operation: 100-64=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 72, 31, 62 ]
28
[ "31*62=1922", "94+1922=2016", "2016/72=28" ]
Current State: 28:[94, 72, 31, 62], Operations: [] Exploring Operation: 31*62=1922, Resulting Numbers: [94, 72, 1922] Generated Node #2: [94, 72, 1922] from Operation: 31*62=1922 Current State: 28:[94, 72, 1922], Operations: ['31*62=1922'] Exploring Operation: 94+1922=2016, Resulting Numbers: [72, 2016] Generated Node #3: [72, 2016] from Operation: 94+1922=2016 Current State: 28:[72, 2016], Operations: ['31*62=1922', '94+1922=2016'] Exploring Operation: 2016/72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 2, 84, 68 ]
10
[ "52/2=26", "84-68=16", "26-16=10" ]
Current State: 10:[52, 2, 84, 68], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [84, 68, 26] Generated Node #2: [84, 68, 26] from Operation: 52/2=26 Current State: 10:[84, 68, 26], Operations: ['52/2=26'] Exploring Operation: 84-68=16, Resulting Numbers: [26, 16] Generated Node #3: [26, 16] from Operation: 84-68=16 Current State: 10:[26, 16], Operations: ['52/2=26', '84-68=16'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 48, 83, 65, 18 ]
49
[ "83-65=18", "18/18=1", "48+1=49" ]
Current State: 49:[48, 83, 65, 18], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [48, 18, 18] Generated Node #2: [48, 18, 18] from Operation: 83-65=18 Current State: 49:[48, 18, 18], Operations: ['83-65=18'] Exploring Operation: 18/18=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 18/18=1 Current State: 49:[48, 1], Operations: ['83-65=18', '18/18=1'] Exploring Operation: 48+1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 38, 21, 16, 67 ]
21
[ "38+67=105", "21-16=5", "105/5=21" ]
Current State: 21:[38, 21, 16, 67], Operations: [] Exploring Operation: 38+67=105, Resulting Numbers: [21, 16, 105] Generated Node #2: [21, 16, 105] from Operation: 38+67=105 Current State: 21:[21, 16, 105], Operations: ['38+67=105'] Exploring Operation: 21-16=5, Resulting Numbers: [105, 5] Generated Node #3: [105, 5] from Operation: 21-16=5 Current State: 21:[105, 5], Operations: ['38+67=105', '21-16=5'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 49, 57, 36 ]
88
[ "49-44=5", "57+36=93", "93-5=88" ]
Current State: 88:[44, 49, 57, 36], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [57, 36, 5] Generated Node #2: [57, 36, 5] from Operation: 49-44=5 Current State: 88:[57, 36, 5], Operations: ['49-44=5'] Exploring Operation: 57+36=93, Resulting Numbers: [5, 93] Generated Node #3: [5, 93] from Operation: 57+36=93 Current State: 88:[5, 93], Operations: ['49-44=5', '57+36=93'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 20, 18, 37, 11 ]
50
[ "20-18=2", "37+11=48", "2+48=50" ]
Current State: 50:[20, 18, 37, 11], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [37, 11, 2] Generated Node #2: [37, 11, 2] from Operation: 20-18=2 Current State: 50:[37, 11, 2], Operations: ['20-18=2'] Exploring Operation: 37+11=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 37+11=48 Current State: 50:[2, 48], Operations: ['20-18=2', '37+11=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 6, 16, 62 ]
49
[ "83+62=145", "6*16=96", "145-96=49" ]
Current State: 49:[83, 6, 16, 62], Operations: [] Exploring Operation: 83+62=145, Resulting Numbers: [6, 16, 145] Generated Node #2: [6, 16, 145] from Operation: 83+62=145 Current State: 49:[6, 16, 145], Operations: ['83+62=145'] Exploring Operation: 6*16=96, Resulting Numbers: [145, 96] Generated Node #3: [145, 96] from Operation: 6*16=96 Current State: 49:[145, 96], Operations: ['83+62=145', '6*16=96'] Exploring Operation: 145-96=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 49, 72, 25 ]
96
[ "49/49=1", "72+25=97", "97-1=96" ]
Current State: 96:[49, 49, 72, 25], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [72, 25, 1] Generated Node #2: [72, 25, 1] from Operation: 49/49=1 Current State: 96:[72, 25, 1], Operations: ['49/49=1'] Exploring Operation: 72+25=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 72+25=97 Current State: 96:[1, 97], Operations: ['49/49=1', '72+25=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 38, 16, 3, 12 ]
58
[ "38+16=54", "12/3=4", "54+4=58" ]
Current State: 58:[38, 16, 3, 12], Operations: [] Exploring Operation: 38+16=54, Resulting Numbers: [3, 12, 54] Generated Node #2: [3, 12, 54] from Operation: 38+16=54 Current State: 58:[3, 12, 54], Operations: ['38+16=54'] Exploring Operation: 12/3=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 12/3=4 Current State: 58:[54, 4], Operations: ['38+16=54', '12/3=4'] Exploring Operation: 54+4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 56, 9, 8 ]
18
[ "56/56=1", "9+8=17", "1+17=18" ]
Current State: 18:[56, 56, 9, 8], Operations: [] Exploring Operation: 56/56=1, Resulting Numbers: [9, 8, 1] Generated Node #2: [9, 8, 1] from Operation: 56/56=1 Current State: 18:[9, 8, 1], Operations: ['56/56=1'] Exploring Operation: 9+8=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 9+8=17 Current State: 18:[1, 17], Operations: ['56/56=1', '9+8=17'] Exploring Operation: 1+17=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 62, 26, 56 ]
88
[ "62-4=58", "56-26=30", "58+30=88" ]
Current State: 88:[4, 62, 26, 56], Operations: [] Exploring Operation: 62-4=58, Resulting Numbers: [26, 56, 58] Generated Node #2: [26, 56, 58] from Operation: 62-4=58 Current State: 88:[26, 56, 58], Operations: ['62-4=58'] Exploring Operation: 56-26=30, Resulting Numbers: [58, 30] Generated Node #3: [58, 30] from Operation: 56-26=30 Current State: 88:[58, 30], Operations: ['62-4=58', '56-26=30'] Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 57, 6, 92 ]
15
[ "6*92=552", "552-57=495", "495/33=15" ]
Current State: 15:[33, 57, 6, 92], Operations: [] Exploring Operation: 6*92=552, Resulting Numbers: [33, 57, 552] Generated Node #2: [33, 57, 552] from Operation: 6*92=552 Current State: 15:[33, 57, 552], Operations: ['6*92=552'] Exploring Operation: 552-57=495, Resulting Numbers: [33, 495] Generated Node #3: [33, 495] from Operation: 552-57=495 Current State: 15:[33, 495], Operations: ['6*92=552', '552-57=495'] Exploring Operation: 495/33=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 29, 52, 26 ]
87
[ "29-26=3", "52*3=156", "156-69=87" ]
Current State: 87:[69, 29, 52, 26], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [69, 52, 3] Generated Node #2: [69, 52, 3] from Operation: 29-26=3 Current State: 87:[69, 52, 3], Operations: ['29-26=3'] Exploring Operation: 52*3=156, Resulting Numbers: [69, 156] Generated Node #3: [69, 156] from Operation: 52*3=156 Current State: 87:[69, 156], Operations: ['29-26=3', '52*3=156'] Exploring Operation: 156-69=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 95, 30, 23, 3 ]
99
[ "95+30=125", "23+3=26", "125-26=99" ]
Current State: 99:[95, 30, 23, 3], Operations: [] Exploring Operation: 95+30=125, Resulting Numbers: [23, 3, 125] Generated Node #2: [23, 3, 125] from Operation: 95+30=125 Current State: 99:[23, 3, 125], Operations: ['95+30=125'] Exploring Operation: 23+3=26, Resulting Numbers: [125, 26] Generated Node #3: [125, 26] from Operation: 23+3=26 Current State: 99:[125, 26], Operations: ['95+30=125', '23+3=26'] Exploring Operation: 125-26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 8, 61, 13 ]
40
[ "80+8=88", "61-13=48", "88-48=40" ]
Current State: 40:[80, 8, 61, 13], Operations: [] Exploring Operation: 80+8=88, Resulting Numbers: [61, 13, 88] Generated Node #2: [61, 13, 88] from Operation: 80+8=88 Current State: 40:[61, 13, 88], Operations: ['80+8=88'] Exploring Operation: 61-13=48, Resulting Numbers: [88, 48] Generated Node #3: [88, 48] from Operation: 61-13=48 Current State: 40:[88, 48], Operations: ['80+8=88', '61-13=48'] Exploring Operation: 88-48=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 4, 1, 64 ]
86
[ "70*1=70", "64/4=16", "70+16=86" ]
Current State: 86:[70, 4, 1, 64], Operations: [] Exploring Operation: 70*1=70, Resulting Numbers: [4, 64, 70] Generated Node #2: [4, 64, 70] from Operation: 70*1=70 Current State: 86:[4, 64, 70], Operations: ['70*1=70'] Exploring Operation: 64/4=16, Resulting Numbers: [70, 16] Generated Node #3: [70, 16] from Operation: 64/4=16 Current State: 86:[70, 16], Operations: ['70*1=70', '64/4=16'] Exploring Operation: 70+16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 77, 8, 77 ]
72
[ "64+77=141", "77-8=69", "141-69=72" ]
Current State: 72:[64, 77, 8, 77], Operations: [] Exploring Operation: 64+77=141, Resulting Numbers: [8, 141] Generated Node #2: [8, 141] from Operation: 64+77=141 Current State: 72:[8, 141], Operations: ['64+77=141'] Exploring Operation: 77-8=69, Resulting Numbers: [141, 69] Generated Node #3: [141, 69] from Operation: 77-8=69 Current State: 72:[141, 69], Operations: ['64+77=141', '77-8=69'] Exploring Operation: 141-69=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 36, 54, 2 ]
50
[ "36/18=2", "54-2=52", "52-2=50" ]
Current State: 50:[18, 36, 54, 2], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [54, 2, 2] Generated Node #2: [54, 2, 2] from Operation: 36/18=2 Current State: 50:[54, 2, 2], Operations: ['36/18=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,50 equal: Goal Reached Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 53, 26, 14 ]
95
[ "78/26=3", "14*3=42", "53+42=95" ]
Current State: 95:[78, 53, 26, 14], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [53, 14, 3] Generated Node #2: [53, 14, 3] from Operation: 78/26=3 Current State: 95:[53, 14, 3], Operations: ['78/26=3'] Exploring Operation: 14*3=42, Resulting Numbers: [53, 42] Generated Node #3: [53, 42] from Operation: 14*3=42 Current State: 95:[53, 42], Operations: ['78/26=3', '14*3=42'] Exploring Operation: 53+42=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 52, 80, 39 ]
51
[ "80-12=68", "39*68=2652", "2652/52=51" ]
Current State: 51:[12, 52, 80, 39], Operations: [] Exploring Operation: 80-12=68, Resulting Numbers: [52, 39, 68] Generated Node #2: [52, 39, 68] from Operation: 80-12=68 Current State: 51:[52, 39, 68], Operations: ['80-12=68'] Exploring Operation: 39*68=2652, Resulting Numbers: [52, 2652] Generated Node #3: [52, 2652] from Operation: 39*68=2652 Current State: 51:[52, 2652], Operations: ['80-12=68', '39*68=2652'] Exploring Operation: 2652/52=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 50, 14, 39 ]
60
[ "39-14=25", "50/25=2", "62-2=60" ]
Current State: 60:[62, 50, 14, 39], Operations: [] Exploring Operation: 39-14=25, Resulting Numbers: [62, 50, 25] Generated Node #2: [62, 50, 25] from Operation: 39-14=25 Current State: 60:[62, 50, 25], Operations: ['39-14=25'] Exploring Operation: 50/25=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 50/25=2 Current State: 60:[62, 2], Operations: ['39-14=25', '50/25=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 69, 90, 73, 6 ]
24
[ "73-69=4", "90+6=96", "96/4=24" ]
Current State: 24:[69, 90, 73, 6], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [90, 6, 4] Generated Node #2: [90, 6, 4] from Operation: 73-69=4 Current State: 24:[90, 6, 4], Operations: ['73-69=4'] Exploring Operation: 90+6=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 90+6=96 Current State: 24:[4, 96], Operations: ['73-69=4', '90+6=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 69, 2, 6, 61 ]
83
[ "69*2=138", "61-6=55", "138-55=83" ]
Current State: 83:[69, 2, 6, 61], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [6, 61, 138] Generated Node #2: [6, 61, 138] from Operation: 69*2=138 Current State: 83:[6, 61, 138], Operations: ['69*2=138'] Exploring Operation: 61-6=55, Resulting Numbers: [138, 55] Generated Node #3: [138, 55] from Operation: 61-6=55 Current State: 83:[138, 55], Operations: ['69*2=138', '61-6=55'] Exploring Operation: 138-55=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 17, 90, 8 ]
54
[ "17-8=9", "4*9=36", "90-36=54" ]
Current State: 54:[4, 17, 90, 8], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [4, 90, 9] Generated Node #2: [4, 90, 9] from Operation: 17-8=9 Current State: 54:[4, 90, 9], Operations: ['17-8=9'] Exploring Operation: 4*9=36, Resulting Numbers: [90, 36] Generated Node #3: [90, 36] from Operation: 4*9=36 Current State: 54:[90, 36], Operations: ['17-8=9', '4*9=36'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 71, 59, 1, 4 ]
41
[ "71+1=72", "72/4=18", "59-18=41" ]
Current State: 41:[71, 59, 1, 4], Operations: [] Exploring Operation: 71+1=72, Resulting Numbers: [59, 4, 72] Generated Node #2: [59, 4, 72] from Operation: 71+1=72 Current State: 41:[59, 4, 72], Operations: ['71+1=72'] Exploring Operation: 72/4=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 72/4=18 Current State: 41:[59, 18], Operations: ['71+1=72', '72/4=18'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 5, 1, 59 ]
90
[ "41*1=41", "59-41=18", "5*18=90" ]
Current State: 90:[41, 5, 1, 59], Operations: [] Exploring Operation: 41*1=41, Resulting Numbers: [5, 59, 41] Generated Node #2: [5, 59, 41] from Operation: 41*1=41 Current State: 90:[5, 59, 41], Operations: ['41*1=41'] Exploring Operation: 59-41=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 59-41=18 Current State: 90:[5, 18], Operations: ['41*1=41', '59-41=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 88, 97, 2, 49 ]
92
[ "88/2=44", "97-49=48", "44+48=92" ]
Current State: 92:[88, 97, 2, 49], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [97, 49, 44] Generated Node #2: [97, 49, 44] from Operation: 88/2=44 Current State: 92:[97, 49, 44], Operations: ['88/2=44'] Exploring Operation: 97-49=48, Resulting Numbers: [44, 48] Generated Node #3: [44, 48] from Operation: 97-49=48 Current State: 92:[44, 48], Operations: ['88/2=44', '97-49=48'] Exploring Operation: 44+48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 55, 79, 10, 86 ]
58
[ "55+79=134", "86-10=76", "134-76=58" ]
Current State: 58:[55, 79, 10, 86], Operations: [] Exploring Operation: 55+79=134, Resulting Numbers: [10, 86, 134] Generated Node #2: [10, 86, 134] from Operation: 55+79=134 Current State: 58:[10, 86, 134], Operations: ['55+79=134'] Exploring Operation: 86-10=76, Resulting Numbers: [134, 76] Generated Node #3: [134, 76] from Operation: 86-10=76 Current State: 58:[134, 76], Operations: ['55+79=134', '86-10=76'] Exploring Operation: 134-76=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 96, 72, 72, 98 ]
50
[ "96-72=24", "98-72=26", "24+26=50" ]
Current State: 50:[96, 72, 72, 98], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [98, 24] Generated Node #2: [98, 24] from Operation: 96-72=24 Current State: 50:[98, 24], Operations: ['96-72=24'] Exploring Operation: 98-72=26, Resulting Numbers: [24, 26] Generated Node #3: [24, 26] from Operation: 98-72=26 Current State: 50:[24, 26], Operations: ['96-72=24', '98-72=26'] Exploring Operation: 24+26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 18, 7, 25 ]
63
[ "52-18=34", "34-25=9", "7*9=63" ]
Current State: 63:[52, 18, 7, 25], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [7, 25, 34] Generated Node #2: [7, 25, 34] from Operation: 52-18=34 Current State: 63:[7, 25, 34], Operations: ['52-18=34'] Exploring Operation: 34-25=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 34-25=9 Current State: 63:[7, 9], Operations: ['52-18=34', '34-25=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 81, 87, 56 ]
18
[ "81+87=168", "168/56=3", "21-3=18" ]
Current State: 18:[21, 81, 87, 56], Operations: [] Exploring Operation: 81+87=168, Resulting Numbers: [21, 56, 168] Generated Node #2: [21, 56, 168] from Operation: 81+87=168 Current State: 18:[21, 56, 168], Operations: ['81+87=168'] Exploring Operation: 168/56=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 168/56=3 Current State: 18:[21, 3], Operations: ['81+87=168', '168/56=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 17, 13, 84, 30 ]
84
[ "17+13=30", "84+30=114", "114-30=84" ]
Current State: 84:[17, 13, 84, 30], Operations: [] Exploring Operation: 17+13=30, Resulting Numbers: [84, 30, 30] Generated Node #2: [84, 30, 30] from Operation: 17+13=30 Current State: 84:[84, 30, 30], Operations: ['17+13=30'] Exploring Operation: 84+30=114, Resulting Numbers: [114] 114,84 equal: Goal Reached Exploring Operation: 114-30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 93, 58, 43, 14 ]
91
[ "43-14=29", "58/29=2", "93-2=91" ]
Current State: 91:[93, 58, 43, 14], Operations: [] Exploring Operation: 43-14=29, Resulting Numbers: [93, 58, 29] Generated Node #2: [93, 58, 29] from Operation: 43-14=29 Current State: 91:[93, 58, 29], Operations: ['43-14=29'] Exploring Operation: 58/29=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 58/29=2 Current State: 91:[93, 2], Operations: ['43-14=29', '58/29=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 50, 58, 25, 8 ]
92
[ "50+58=108", "25*8=200", "200-108=92" ]
Current State: 92:[50, 58, 25, 8], Operations: [] Exploring Operation: 50+58=108, Resulting Numbers: [25, 8, 108] Generated Node #2: [25, 8, 108] from Operation: 50+58=108 Current State: 92:[25, 8, 108], Operations: ['50+58=108'] Exploring Operation: 25*8=200, Resulting Numbers: [108, 200] Generated Node #3: [108, 200] from Operation: 25*8=200 Current State: 92:[108, 200], Operations: ['50+58=108', '25*8=200'] Exploring Operation: 200-108=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 12, 86, 73 ]
84
[ "73-49=24", "24/12=2", "86-2=84" ]
Current State: 84:[49, 12, 86, 73], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [12, 86, 24] Generated Node #2: [12, 86, 24] from Operation: 73-49=24 Current State: 84:[12, 86, 24], Operations: ['73-49=24'] Exploring Operation: 24/12=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 24/12=2 Current State: 84:[86, 2], Operations: ['73-49=24', '24/12=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 82, 2, 68, 28 ]
65
[ "82+2=84", "84/28=3", "68-3=65" ]
Current State: 65:[82, 2, 68, 28], Operations: [] Exploring Operation: 82+2=84, Resulting Numbers: [68, 28, 84] Generated Node #2: [68, 28, 84] from Operation: 82+2=84 Current State: 65:[68, 28, 84], Operations: ['82+2=84'] Exploring Operation: 84/28=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 84/28=3 Current State: 65:[68, 3], Operations: ['82+2=84', '84/28=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 89, 54, 30, 3 ]
91
[ "30-3=27", "54/27=2", "89+2=91" ]
Current State: 91:[89, 54, 30, 3], Operations: [] Exploring Operation: 30-3=27, Resulting Numbers: [89, 54, 27] Generated Node #2: [89, 54, 27] from Operation: 30-3=27 Current State: 91:[89, 54, 27], Operations: ['30-3=27'] Exploring Operation: 54/27=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 54/27=2 Current State: 91:[89, 2], Operations: ['30-3=27', '54/27=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 41, 29, 13 ]
53
[ "78-41=37", "29-13=16", "37+16=53" ]
Current State: 53:[78, 41, 29, 13], Operations: [] Exploring Operation: 78-41=37, Resulting Numbers: [29, 13, 37] Generated Node #2: [29, 13, 37] from Operation: 78-41=37 Current State: 53:[29, 13, 37], Operations: ['78-41=37'] Exploring Operation: 29-13=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 29-13=16 Current State: 53:[37, 16], Operations: ['78-41=37', '29-13=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 7, 59, 70, 4 ]
49
[ "70-59=11", "11-4=7", "7*7=49" ]
Current State: 49:[7, 59, 70, 4], Operations: [] Exploring Operation: 70-59=11, Resulting Numbers: [7, 4, 11] Generated Node #2: [7, 4, 11] from Operation: 70-59=11 Current State: 49:[7, 4, 11], Operations: ['70-59=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 11-4=7 Current State: 49:[7, 7], Operations: ['70-59=11', '11-4=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 16, 51, 57, 81 ]
59
[ "51-16=35", "81-57=24", "35+24=59" ]
Current State: 59:[16, 51, 57, 81], Operations: [] Exploring Operation: 51-16=35, Resulting Numbers: [57, 81, 35] Generated Node #2: [57, 81, 35] from Operation: 51-16=35 Current State: 59:[57, 81, 35], Operations: ['51-16=35'] Exploring Operation: 81-57=24, Resulting Numbers: [35, 24] Generated Node #3: [35, 24] from Operation: 81-57=24 Current State: 59:[35, 24], Operations: ['51-16=35', '81-57=24'] Exploring Operation: 35+24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 59, 54, 56, 69 ]
45
[ "59-56=3", "69-54=15", "3*15=45" ]
Current State: 45:[59, 54, 56, 69], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [54, 69, 3] Generated Node #2: [54, 69, 3] from Operation: 59-56=3 Current State: 45:[54, 69, 3], Operations: ['59-56=3'] Exploring Operation: 69-54=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 69-54=15 Current State: 45:[3, 15], Operations: ['59-56=3', '69-54=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 78, 15, 14, 6 ]
90
[ "78+6=84", "15*84=1260", "1260/14=90" ]
Current State: 90:[78, 15, 14, 6], Operations: [] Exploring Operation: 78+6=84, Resulting Numbers: [15, 14, 84] Generated Node #2: [15, 14, 84] from Operation: 78+6=84 Current State: 90:[15, 14, 84], Operations: ['78+6=84'] Exploring Operation: 15*84=1260, Resulting Numbers: [14, 1260] Generated Node #3: [14, 1260] from Operation: 15*84=1260 Current State: 90:[14, 1260], Operations: ['78+6=84', '15*84=1260'] Exploring Operation: 1260/14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 92, 58, 98, 30 ]
63
[ "98-92=6", "30/6=5", "58+5=63" ]
Current State: 63:[92, 58, 98, 30], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [58, 30, 6] Generated Node #2: [58, 30, 6] from Operation: 98-92=6 Current State: 63:[58, 30, 6], Operations: ['98-92=6'] Exploring Operation: 30/6=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 30/6=5 Current State: 63:[58, 5], Operations: ['98-92=6', '30/6=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 61, 53, 11, 2 ]
92
[ "61+53=114", "11*2=22", "114-22=92" ]
Current State: 92:[61, 53, 11, 2], Operations: [] Exploring Operation: 61+53=114, Resulting Numbers: [11, 2, 114] Generated Node #2: [11, 2, 114] from Operation: 61+53=114 Current State: 92:[11, 2, 114], Operations: ['61+53=114'] Exploring Operation: 11*2=22, Resulting Numbers: [114, 22] Generated Node #3: [114, 22] from Operation: 11*2=22 Current State: 92:[114, 22], Operations: ['61+53=114', '11*2=22'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 80, 59, 70 ]
88
[ "80-72=8", "70-59=11", "8*11=88" ]
Current State: 88:[72, 80, 59, 70], Operations: [] Exploring Operation: 80-72=8, Resulting Numbers: [59, 70, 8] Generated Node #2: [59, 70, 8] from Operation: 80-72=8 Current State: 88:[59, 70, 8], Operations: ['80-72=8'] Exploring Operation: 70-59=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 70-59=11 Current State: 88:[8, 11], Operations: ['80-72=8', '70-59=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 9, 7, 98, 45 ]
68
[ "9+45=54", "98/7=14", "54+14=68" ]
Current State: 68:[9, 7, 98, 45], Operations: [] Exploring Operation: 9+45=54, Resulting Numbers: [7, 98, 54] Generated Node #2: [7, 98, 54] from Operation: 9+45=54 Current State: 68:[7, 98, 54], Operations: ['9+45=54'] Exploring Operation: 98/7=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 98/7=14 Current State: 68:[54, 14], Operations: ['9+45=54', '98/7=14'] Exploring Operation: 54+14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 88, 73, 69 ]
35
[ "88-69=19", "2*19=38", "73-38=35" ]
Current State: 35:[2, 88, 73, 69], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [2, 73, 19] Generated Node #2: [2, 73, 19] from Operation: 88-69=19 Current State: 35:[2, 73, 19], Operations: ['88-69=19'] Exploring Operation: 2*19=38, Resulting Numbers: [73, 38] Generated Node #3: [73, 38] from Operation: 2*19=38 Current State: 35:[73, 38], Operations: ['88-69=19', '2*19=38'] Exploring Operation: 73-38=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 36, 3, 1 ]
75
[ "2*36=72", "3*1=3", "72+3=75" ]
Current State: 75:[2, 36, 3, 1], Operations: [] Exploring Operation: 2*36=72, Resulting Numbers: [3, 1, 72] Generated Node #2: [3, 1, 72] from Operation: 2*36=72 Current State: 75:[3, 1, 72], Operations: ['2*36=72'] Exploring Operation: 3*1=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 3*1=3 Current State: 75:[72, 3], Operations: ['2*36=72', '3*1=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 7, 48, 50 ]
51
[ "50-29=21", "21/7=3", "48+3=51" ]
Current State: 51:[29, 7, 48, 50], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [7, 48, 21] Generated Node #2: [7, 48, 21] from Operation: 50-29=21 Current State: 51:[7, 48, 21], Operations: ['50-29=21'] Exploring Operation: 21/7=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 21/7=3 Current State: 51:[48, 3], Operations: ['50-29=21', '21/7=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 96, 35, 59 ]
57
[ "55+96=151", "35+59=94", "151-94=57" ]
Current State: 57:[55, 96, 35, 59], Operations: [] Exploring Operation: 55+96=151, Resulting Numbers: [35, 59, 151] Generated Node #2: [35, 59, 151] from Operation: 55+96=151 Current State: 57:[35, 59, 151], Operations: ['55+96=151'] Exploring Operation: 35+59=94, Resulting Numbers: [151, 94] Generated Node #3: [151, 94] from Operation: 35+59=94 Current State: 57:[151, 94], Operations: ['55+96=151', '35+59=94'] Exploring Operation: 151-94=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4