nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 44, 6, 43, 16 ]
41
[ "6+16=22", "44/22=2", "43-2=41" ]
Current State: 41:[44, 6, 43, 16], Operations: [] Exploring Operation: 6+16=22, Resulting Numbers: [44, 43, 22] Generated Node #2: [44, 43, 22] from Operation: 6+16=22 Current State: 41:[44, 43, 22], Operations: ['6+16=22'] Exploring Operation: 44/22=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 44/22=2 Current State: 41:[43, 2], Operations: ['6+16=22', '44/22=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 29, 56, 67 ]
27
[ "29-13=16", "67-56=11", "16+11=27" ]
Current State: 27:[13, 29, 56, 67], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [56, 67, 16] Generated Node #2: [56, 67, 16] from Operation: 29-13=16 Current State: 27:[56, 67, 16], Operations: ['29-13=16'] Exploring Operation: 67-56=11, Resulting Numbers: [16, 11] Generated Node #3: [16, 11] from Operation: 67-56=11 Current State: 27:[16, 11], Operations: ['29-13=16', '67-56=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 56, 8, 85, 3 ]
34
[ "56-8=48", "85-3=82", "82-48=34" ]
Current State: 34:[56, 8, 85, 3], Operations: [] Exploring Operation: 56-8=48, Resulting Numbers: [85, 3, 48] Generated Node #2: [85, 3, 48] from Operation: 56-8=48 Current State: 34:[85, 3, 48], Operations: ['56-8=48'] Exploring Operation: 85-3=82, Resulting Numbers: [48, 82] Generated Node #3: [48, 82] from Operation: 85-3=82 Current State: 34:[48, 82], Operations: ['56-8=48', '85-3=82'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 5, 66, 64 ]
13
[ "10+5=15", "66-64=2", "15-2=13" ]
Current State: 13:[10, 5, 66, 64], Operations: [] Exploring Operation: 10+5=15, Resulting Numbers: [66, 64, 15] Generated Node #2: [66, 64, 15] from Operation: 10+5=15 Current State: 13:[66, 64, 15], Operations: ['10+5=15'] Exploring Operation: 66-64=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 66-64=2 Current State: 13:[15, 2], Operations: ['10+5=15', '66-64=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 68, 12, 44, 61 ]
97
[ "68+12=80", "61-44=17", "80+17=97" ]
Current State: 97:[68, 12, 44, 61], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [44, 61, 80] Generated Node #2: [44, 61, 80] from Operation: 68+12=80 Current State: 97:[44, 61, 80], Operations: ['68+12=80'] Exploring Operation: 61-44=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 61-44=17 Current State: 97:[80, 17], Operations: ['68+12=80', '61-44=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 77, 8, 37 ]
36
[ "77-68=9", "8+37=45", "45-9=36" ]
Current State: 36:[68, 77, 8, 37], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [8, 37, 9] Generated Node #2: [8, 37, 9] from Operation: 77-68=9 Current State: 36:[8, 37, 9], Operations: ['77-68=9'] Exploring Operation: 8+37=45, Resulting Numbers: [9, 45] Generated Node #3: [9, 45] from Operation: 8+37=45 Current State: 36:[9, 45], Operations: ['77-68=9', '8+37=45'] Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 38, 50, 75, 15 ]
28
[ "38+50=88", "75-15=60", "88-60=28" ]
Current State: 28:[38, 50, 75, 15], Operations: [] Exploring Operation: 38+50=88, Resulting Numbers: [75, 15, 88] Generated Node #2: [75, 15, 88] from Operation: 38+50=88 Current State: 28:[75, 15, 88], Operations: ['38+50=88'] Exploring Operation: 75-15=60, Resulting Numbers: [88, 60] Generated Node #3: [88, 60] from Operation: 75-15=60 Current State: 28:[88, 60], Operations: ['38+50=88', '75-15=60'] Exploring Operation: 88-60=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 23, 99, 47, 46 ]
54
[ "46/23=2", "99-47=52", "2+52=54" ]
Current State: 54:[23, 99, 47, 46], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [99, 47, 2] Generated Node #2: [99, 47, 2] from Operation: 46/23=2 Current State: 54:[99, 47, 2], Operations: ['46/23=2'] Exploring Operation: 99-47=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 99-47=52 Current State: 54:[2, 52], Operations: ['46/23=2', '99-47=52'] Exploring Operation: 2+52=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 70, 12, 25, 63 ]
30
[ "70-12=58", "25+63=88", "88-58=30" ]
Current State: 30:[70, 12, 25, 63], Operations: [] Exploring Operation: 70-12=58, Resulting Numbers: [25, 63, 58] Generated Node #2: [25, 63, 58] from Operation: 70-12=58 Current State: 30:[25, 63, 58], Operations: ['70-12=58'] Exploring Operation: 25+63=88, Resulting Numbers: [58, 88] Generated Node #3: [58, 88] from Operation: 25+63=88 Current State: 30:[58, 88], Operations: ['70-12=58', '25+63=88'] Exploring Operation: 88-58=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 18, 28, 42, 68 ]
16
[ "28-18=10", "68-42=26", "26-10=16" ]
Current State: 16:[18, 28, 42, 68], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [42, 68, 10] Generated Node #2: [42, 68, 10] from Operation: 28-18=10 Current State: 16:[42, 68, 10], Operations: ['28-18=10'] Exploring Operation: 68-42=26, Resulting Numbers: [10, 26] Generated Node #3: [10, 26] from Operation: 68-42=26 Current State: 16:[10, 26], Operations: ['28-18=10', '68-42=26'] Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 51, 12, 55 ]
86
[ "51-32=19", "12+55=67", "19+67=86" ]
Current State: 86:[32, 51, 12, 55], Operations: [] Exploring Operation: 51-32=19, Resulting Numbers: [12, 55, 19] Generated Node #2: [12, 55, 19] from Operation: 51-32=19 Current State: 86:[12, 55, 19], Operations: ['51-32=19'] Exploring Operation: 12+55=67, Resulting Numbers: [19, 67] Generated Node #3: [19, 67] from Operation: 12+55=67 Current State: 86:[19, 67], Operations: ['51-32=19', '12+55=67'] Exploring Operation: 19+67=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 98, 89, 16 ]
83
[ "98-88=10", "89-16=73", "10+73=83" ]
Current State: 83:[88, 98, 89, 16], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [89, 16, 10] Generated Node #2: [89, 16, 10] from Operation: 98-88=10 Current State: 83:[89, 16, 10], Operations: ['98-88=10'] Exploring Operation: 89-16=73, Resulting Numbers: [10, 73] Generated Node #3: [10, 73] from Operation: 89-16=73 Current State: 83:[10, 73], Operations: ['98-88=10', '89-16=73'] Exploring Operation: 10+73=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 71, 30, 72, 49 ]
42
[ "71*30=2130", "2130-72=2058", "2058/49=42" ]
Current State: 42:[71, 30, 72, 49], Operations: [] Exploring Operation: 71*30=2130, Resulting Numbers: [72, 49, 2130] Generated Node #2: [72, 49, 2130] from Operation: 71*30=2130 Current State: 42:[72, 49, 2130], Operations: ['71*30=2130'] Exploring Operation: 2130-72=2058, Resulting Numbers: [49, 2058] Generated Node #3: [49, 2058] from Operation: 2130-72=2058 Current State: 42:[49, 2058], Operations: ['71*30=2130', '2130-72=2058'] Exploring Operation: 2058/49=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 70, 53, 42 ]
98
[ "53-49=4", "42*4=168", "168-70=98" ]
Current State: 98:[49, 70, 53, 42], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [70, 42, 4] Generated Node #2: [70, 42, 4] from Operation: 53-49=4 Current State: 98:[70, 42, 4], Operations: ['53-49=4'] Exploring Operation: 42*4=168, Resulting Numbers: [70, 168] Generated Node #3: [70, 168] from Operation: 42*4=168 Current State: 98:[70, 168], Operations: ['53-49=4', '42*4=168'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 90, 22, 4, 52 ]
50
[ "90-52=38", "22*4=88", "88-38=50" ]
Current State: 50:[90, 22, 4, 52], Operations: [] Exploring Operation: 90-52=38, Resulting Numbers: [22, 4, 38] Generated Node #2: [22, 4, 38] from Operation: 90-52=38 Current State: 50:[22, 4, 38], Operations: ['90-52=38'] Exploring Operation: 22*4=88, Resulting Numbers: [38, 88] Generated Node #3: [38, 88] from Operation: 22*4=88 Current State: 50:[38, 88], Operations: ['90-52=38', '22*4=88'] Exploring Operation: 88-38=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 34, 15, 15, 17 ]
30
[ "34-15=19", "19-17=2", "15*2=30" ]
Current State: 30:[34, 15, 15, 17], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [17, 19] Generated Node #2: [17, 19] from Operation: 34-15=19 Current State: 30:[17, 19], Operations: ['34-15=19'] Exploring Operation: 19-17=2, Resulting Numbers: [2] 2,30 equal: Goal Reached Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 59, 48, 4, 10 ]
57
[ "59+10=69", "48/4=12", "69-12=57" ]
Current State: 57:[59, 48, 4, 10], Operations: [] Exploring Operation: 59+10=69, Resulting Numbers: [48, 4, 69] Generated Node #2: [48, 4, 69] from Operation: 59+10=69 Current State: 57:[48, 4, 69], Operations: ['59+10=69'] Exploring Operation: 48/4=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 48/4=12 Current State: 57:[69, 12], Operations: ['59+10=69', '48/4=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 4, 22, 15 ]
24
[ "27+4=31", "22-15=7", "31-7=24" ]
Current State: 24:[27, 4, 22, 15], Operations: [] Exploring Operation: 27+4=31, Resulting Numbers: [22, 15, 31] Generated Node #2: [22, 15, 31] from Operation: 27+4=31 Current State: 24:[22, 15, 31], Operations: ['27+4=31'] Exploring Operation: 22-15=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 22-15=7 Current State: 24:[31, 7], Operations: ['27+4=31', '22-15=7'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 76, 99, 3 ]
68
[ "88+76=164", "99-3=96", "164-96=68" ]
Current State: 68:[88, 76, 99, 3], Operations: [] Exploring Operation: 88+76=164, Resulting Numbers: [99, 3, 164] Generated Node #2: [99, 3, 164] from Operation: 88+76=164 Current State: 68:[99, 3, 164], Operations: ['88+76=164'] Exploring Operation: 99-3=96, Resulting Numbers: [164, 96] Generated Node #3: [164, 96] from Operation: 99-3=96 Current State: 68:[164, 96], Operations: ['88+76=164', '99-3=96'] Exploring Operation: 164-96=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 67, 43, 39, 92 ]
100
[ "92-67=25", "43-39=4", "25*4=100" ]
Current State: 100:[67, 43, 39, 92], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [43, 39, 25] Generated Node #2: [43, 39, 25] from Operation: 92-67=25 Current State: 100:[43, 39, 25], Operations: ['92-67=25'] Exploring Operation: 43-39=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 43-39=4 Current State: 100:[25, 4], Operations: ['92-67=25', '43-39=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 26, 78, 38, 22 ]
74
[ "26-22=4", "38*4=152", "152-78=74" ]
Current State: 74:[26, 78, 38, 22], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [78, 38, 4] Generated Node #2: [78, 38, 4] from Operation: 26-22=4 Current State: 74:[78, 38, 4], Operations: ['26-22=4'] Exploring Operation: 38*4=152, Resulting Numbers: [78, 152] Generated Node #3: [78, 152] from Operation: 38*4=152 Current State: 74:[78, 152], Operations: ['26-22=4', '38*4=152'] Exploring Operation: 152-78=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 16, 32, 37 ]
93
[ "40-16=24", "32+37=69", "24+69=93" ]
Current State: 93:[40, 16, 32, 37], Operations: [] Exploring Operation: 40-16=24, Resulting Numbers: [32, 37, 24] Generated Node #2: [32, 37, 24] from Operation: 40-16=24 Current State: 93:[32, 37, 24], Operations: ['40-16=24'] Exploring Operation: 32+37=69, Resulting Numbers: [24, 69] Generated Node #3: [24, 69] from Operation: 32+37=69 Current State: 93:[24, 69], Operations: ['40-16=24', '32+37=69'] Exploring Operation: 24+69=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 82, 30, 11 ]
39
[ "30+11=41", "78*41=3198", "3198/82=39" ]
Current State: 39:[78, 82, 30, 11], Operations: [] Exploring Operation: 30+11=41, Resulting Numbers: [78, 82, 41] Generated Node #2: [78, 82, 41] from Operation: 30+11=41 Current State: 39:[78, 82, 41], Operations: ['30+11=41'] Exploring Operation: 78*41=3198, Resulting Numbers: [82, 3198] Generated Node #3: [82, 3198] from Operation: 78*41=3198 Current State: 39:[82, 3198], Operations: ['30+11=41', '78*41=3198'] Exploring Operation: 3198/82=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 51, 80, 87 ]
37
[ "87-80=7", "98/7=14", "51-14=37" ]
Current State: 37:[98, 51, 80, 87], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [98, 51, 7] Generated Node #2: [98, 51, 7] from Operation: 87-80=7 Current State: 37:[98, 51, 7], Operations: ['87-80=7'] Exploring Operation: 98/7=14, Resulting Numbers: [51, 14] Generated Node #3: [51, 14] from Operation: 98/7=14 Current State: 37:[51, 14], Operations: ['87-80=7', '98/7=14'] Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 56, 14, 4, 1 ]
20
[ "56/14=4", "4+1=5", "4*5=20" ]
Current State: 20:[56, 14, 4, 1], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [4, 1, 4] Generated Node #2: [4, 1, 4] from Operation: 56/14=4 Current State: 20:[4, 1, 4], Operations: ['56/14=4'] Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,20 equal: Goal Reached Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 97, 81, 70 ]
93
[ "97-39=58", "81+70=151", "151-58=93" ]
Current State: 93:[39, 97, 81, 70], Operations: [] Exploring Operation: 97-39=58, Resulting Numbers: [81, 70, 58] Generated Node #2: [81, 70, 58] from Operation: 97-39=58 Current State: 93:[81, 70, 58], Operations: ['97-39=58'] Exploring Operation: 81+70=151, Resulting Numbers: [58, 151] Generated Node #3: [58, 151] from Operation: 81+70=151 Current State: 93:[58, 151], Operations: ['97-39=58', '81+70=151'] Exploring Operation: 151-58=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 18, 93, 66, 30 ]
21
[ "93-18=75", "66+30=96", "96-75=21" ]
Current State: 21:[18, 93, 66, 30], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [66, 30, 75] Generated Node #2: [66, 30, 75] from Operation: 93-18=75 Current State: 21:[66, 30, 75], Operations: ['93-18=75'] Exploring Operation: 66+30=96, Resulting Numbers: [75, 96] Generated Node #3: [75, 96] from Operation: 66+30=96 Current State: 21:[75, 96], Operations: ['93-18=75', '66+30=96'] Exploring Operation: 96-75=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 30, 70, 35 ]
72
[ "3+30=33", "70+35=105", "105-33=72" ]
Current State: 72:[3, 30, 70, 35], Operations: [] Exploring Operation: 3+30=33, Resulting Numbers: [70, 35, 33] Generated Node #2: [70, 35, 33] from Operation: 3+30=33 Current State: 72:[70, 35, 33], Operations: ['3+30=33'] Exploring Operation: 70+35=105, Resulting Numbers: [33, 105] Generated Node #3: [33, 105] from Operation: 70+35=105 Current State: 72:[33, 105], Operations: ['3+30=33', '70+35=105'] Exploring Operation: 105-33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 62, 31, 11, 86 ]
18
[ "62+31=93", "86-11=75", "93-75=18" ]
Current State: 18:[62, 31, 11, 86], Operations: [] Exploring Operation: 62+31=93, Resulting Numbers: [11, 86, 93] Generated Node #2: [11, 86, 93] from Operation: 62+31=93 Current State: 18:[11, 86, 93], Operations: ['62+31=93'] Exploring Operation: 86-11=75, Resulting Numbers: [93, 75] Generated Node #3: [93, 75] from Operation: 86-11=75 Current State: 18:[93, 75], Operations: ['62+31=93', '86-11=75'] Exploring Operation: 93-75=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 72, 66, 99 ]
48
[ "80*99=7920", "7920/66=120", "120-72=48" ]
Current State: 48:[80, 72, 66, 99], Operations: [] Exploring Operation: 80*99=7920, Resulting Numbers: [72, 66, 7920] Generated Node #2: [72, 66, 7920] from Operation: 80*99=7920 Current State: 48:[72, 66, 7920], Operations: ['80*99=7920'] Exploring Operation: 7920/66=120, Resulting Numbers: [72, 120] Generated Node #3: [72, 120] from Operation: 7920/66=120 Current State: 48:[72, 120], Operations: ['80*99=7920', '7920/66=120'] Exploring Operation: 120-72=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 57, 9, 60 ]
54
[ "60-9=51", "51/17=3", "57-3=54" ]
Current State: 54:[17, 57, 9, 60], Operations: [] Exploring Operation: 60-9=51, Resulting Numbers: [17, 57, 51] Generated Node #2: [17, 57, 51] from Operation: 60-9=51 Current State: 54:[17, 57, 51], Operations: ['60-9=51'] Exploring Operation: 51/17=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 51/17=3 Current State: 54:[57, 3], Operations: ['60-9=51', '51/17=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 33, 9, 58 ]
55
[ "58-43=15", "33*15=495", "495/9=55" ]
Current State: 55:[43, 33, 9, 58], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [33, 9, 15] Generated Node #2: [33, 9, 15] from Operation: 58-43=15 Current State: 55:[33, 9, 15], Operations: ['58-43=15'] Exploring Operation: 33*15=495, Resulting Numbers: [9, 495] Generated Node #3: [9, 495] from Operation: 33*15=495 Current State: 55:[9, 495], Operations: ['58-43=15', '33*15=495'] Exploring Operation: 495/9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 1, 2, 4 ]
44
[ "35+1=36", "2*4=8", "36+8=44" ]
Current State: 44:[35, 1, 2, 4], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [2, 4, 36] Generated Node #2: [2, 4, 36] from Operation: 35+1=36 Current State: 44:[2, 4, 36], Operations: ['35+1=36'] Exploring Operation: 2*4=8, Resulting Numbers: [36, 8] Generated Node #3: [36, 8] from Operation: 2*4=8 Current State: 44:[36, 8], Operations: ['35+1=36', '2*4=8'] Exploring Operation: 36+8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 69, 51, 49 ]
28
[ "69-55=14", "51-49=2", "14*2=28" ]
Current State: 28:[55, 69, 51, 49], Operations: [] Exploring Operation: 69-55=14, Resulting Numbers: [51, 49, 14] Generated Node #2: [51, 49, 14] from Operation: 69-55=14 Current State: 28:[51, 49, 14], Operations: ['69-55=14'] Exploring Operation: 51-49=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 51-49=2 Current State: 28:[14, 2], Operations: ['69-55=14', '51-49=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 1, 59, 2, 68 ]
12
[ "59-1=58", "2+68=70", "70-58=12" ]
Current State: 12:[1, 59, 2, 68], Operations: [] Exploring Operation: 59-1=58, Resulting Numbers: [2, 68, 58] Generated Node #2: [2, 68, 58] from Operation: 59-1=58 Current State: 12:[2, 68, 58], Operations: ['59-1=58'] Exploring Operation: 2+68=70, Resulting Numbers: [58, 70] Generated Node #3: [58, 70] from Operation: 2+68=70 Current State: 12:[58, 70], Operations: ['59-1=58', '2+68=70'] Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 9, 10, 62, 89 ]
51
[ "10+89=99", "99/9=11", "62-11=51" ]
Current State: 51:[9, 10, 62, 89], Operations: [] Exploring Operation: 10+89=99, Resulting Numbers: [9, 62, 99] Generated Node #2: [9, 62, 99] from Operation: 10+89=99 Current State: 51:[9, 62, 99], Operations: ['10+89=99'] Exploring Operation: 99/9=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 99/9=11 Current State: 51:[62, 11], Operations: ['10+89=99', '99/9=11'] Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 30, 92, 54 ]
28
[ "36+30=66", "92-54=38", "66-38=28" ]
Current State: 28:[36, 30, 92, 54], Operations: [] Exploring Operation: 36+30=66, Resulting Numbers: [92, 54, 66] Generated Node #2: [92, 54, 66] from Operation: 36+30=66 Current State: 28:[92, 54, 66], Operations: ['36+30=66'] Exploring Operation: 92-54=38, Resulting Numbers: [66, 38] Generated Node #3: [66, 38] from Operation: 92-54=38 Current State: 28:[66, 38], Operations: ['36+30=66', '92-54=38'] Exploring Operation: 66-38=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 40, 19, 24 ]
71
[ "24/2=12", "40+19=59", "12+59=71" ]
Current State: 71:[2, 40, 19, 24], Operations: [] Exploring Operation: 24/2=12, Resulting Numbers: [40, 19, 12] Generated Node #2: [40, 19, 12] from Operation: 24/2=12 Current State: 71:[40, 19, 12], Operations: ['24/2=12'] Exploring Operation: 40+19=59, Resulting Numbers: [12, 59] Generated Node #3: [12, 59] from Operation: 40+19=59 Current State: 71:[12, 59], Operations: ['24/2=12', '40+19=59'] Exploring Operation: 12+59=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 23, 84, 93, 19 ]
95
[ "23+19=42", "84/42=2", "93+2=95" ]
Current State: 95:[23, 84, 93, 19], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [84, 93, 42] Generated Node #2: [84, 93, 42] from Operation: 23+19=42 Current State: 95:[84, 93, 42], Operations: ['23+19=42'] Exploring Operation: 84/42=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 84/42=2 Current State: 95:[93, 2], Operations: ['23+19=42', '84/42=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 72, 23, 35 ]
35
[ "72-72=0", "23*0=0", "35+0=35" ]
Current State: 35:[72, 72, 23, 35], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [23, 35, 0] Generated Node #2: [23, 35, 0] from Operation: 72-72=0 Current State: 35:[23, 35, 0], Operations: ['72-72=0'] Exploring Operation: 23*0=0, Resulting Numbers: [35, 0] Generated Node #3: [35, 0] from Operation: 23*0=0 Current State: 35:[35, 0], Operations: ['72-72=0', '23*0=0'] Exploring Operation: 35+0=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 86, 32, 17, 35 ]
18
[ "32*17=544", "86+544=630", "630/35=18" ]
Current State: 18:[86, 32, 17, 35], Operations: [] Exploring Operation: 32*17=544, Resulting Numbers: [86, 35, 544] Generated Node #2: [86, 35, 544] from Operation: 32*17=544 Current State: 18:[86, 35, 544], Operations: ['32*17=544'] Exploring Operation: 86+544=630, Resulting Numbers: [35, 630] Generated Node #3: [35, 630] from Operation: 86+544=630 Current State: 18:[35, 630], Operations: ['32*17=544', '86+544=630'] Exploring Operation: 630/35=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 93, 65, 68 ]
13
[ "93-83=10", "68-65=3", "10+3=13" ]
Current State: 13:[83, 93, 65, 68], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [65, 68, 10] Generated Node #2: [65, 68, 10] from Operation: 93-83=10 Current State: 13:[65, 68, 10], Operations: ['93-83=10'] Exploring Operation: 68-65=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 68-65=3 Current State: 13:[10, 3], Operations: ['93-83=10', '68-65=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 62, 86, 2 ]
19
[ "86-62=24", "2*24=48", "48-29=19" ]
Current State: 19:[29, 62, 86, 2], Operations: [] Exploring Operation: 86-62=24, Resulting Numbers: [29, 2, 24] Generated Node #2: [29, 2, 24] from Operation: 86-62=24 Current State: 19:[29, 2, 24], Operations: ['86-62=24'] Exploring Operation: 2*24=48, Resulting Numbers: [29, 48] Generated Node #3: [29, 48] from Operation: 2*24=48 Current State: 19:[29, 48], Operations: ['86-62=24', '2*24=48'] Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 93, 40, 47, 94 ]
86
[ "93+40=133", "94-47=47", "133-47=86" ]
Current State: 86:[93, 40, 47, 94], Operations: [] Exploring Operation: 93+40=133, Resulting Numbers: [47, 94, 133] Generated Node #2: [47, 94, 133] from Operation: 93+40=133 Current State: 86:[47, 94, 133], Operations: ['93+40=133'] Exploring Operation: 94-47=47, Resulting Numbers: [133, 47] Generated Node #3: [133, 47] from Operation: 94-47=47 Current State: 86:[133, 47], Operations: ['93+40=133', '94-47=47'] Exploring Operation: 133-47=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 35, 84, 74 ]
85
[ "84-74=10", "5*10=50", "35+50=85" ]
Current State: 85:[5, 35, 84, 74], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [5, 35, 10] Generated Node #2: [5, 35, 10] from Operation: 84-74=10 Current State: 85:[5, 35, 10], Operations: ['84-74=10'] Exploring Operation: 5*10=50, Resulting Numbers: [35, 50] Generated Node #3: [35, 50] from Operation: 5*10=50 Current State: 85:[35, 50], Operations: ['84-74=10', '5*10=50'] Exploring Operation: 35+50=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 47, 79, 26 ]
66
[ "47-34=13", "79-26=53", "13+53=66" ]
Current State: 66:[34, 47, 79, 26], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [79, 26, 13] Generated Node #2: [79, 26, 13] from Operation: 47-34=13 Current State: 66:[79, 26, 13], Operations: ['47-34=13'] Exploring Operation: 79-26=53, Resulting Numbers: [13, 53] Generated Node #3: [13, 53] from Operation: 79-26=53 Current State: 66:[13, 53], Operations: ['47-34=13', '79-26=53'] Exploring Operation: 13+53=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 44, 92, 15 ]
62
[ "44-29=15", "92-15=77", "77-15=62" ]
Current State: 62:[29, 44, 92, 15], Operations: [] Exploring Operation: 44-29=15, Resulting Numbers: [92, 15, 15] Generated Node #2: [92, 15, 15] from Operation: 44-29=15 Current State: 62:[92, 15, 15], Operations: ['44-29=15'] Exploring Operation: 92-15=77, Resulting Numbers: [77] 77,62 equal: Goal Reached Exploring Operation: 77-15=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 93, 62, 6, 98 ]
73
[ "93-62=31", "6+98=104", "104-31=73" ]
Current State: 73:[93, 62, 6, 98], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [6, 98, 31] Generated Node #2: [6, 98, 31] from Operation: 93-62=31 Current State: 73:[6, 98, 31], Operations: ['93-62=31'] Exploring Operation: 6+98=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 6+98=104 Current State: 73:[31, 104], Operations: ['93-62=31', '6+98=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 53, 92, 26, 41 ]
13
[ "92-53=39", "41-39=2", "26/2=13" ]
Current State: 13:[53, 92, 26, 41], Operations: [] Exploring Operation: 92-53=39, Resulting Numbers: [26, 41, 39] Generated Node #2: [26, 41, 39] from Operation: 92-53=39 Current State: 13:[26, 41, 39], Operations: ['92-53=39'] Exploring Operation: 41-39=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 41-39=2 Current State: 13:[26, 2], Operations: ['92-53=39', '41-39=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 4, 22, 64 ]
100
[ "22-13=9", "4*9=36", "64+36=100" ]
Current State: 100:[13, 4, 22, 64], Operations: [] Exploring Operation: 22-13=9, Resulting Numbers: [4, 64, 9] Generated Node #2: [4, 64, 9] from Operation: 22-13=9 Current State: 100:[4, 64, 9], Operations: ['22-13=9'] Exploring Operation: 4*9=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 4*9=36 Current State: 100:[64, 36], Operations: ['22-13=9', '4*9=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 49, 14, 58, 81 ]
58
[ "49-14=35", "81-58=23", "35+23=58" ]
Current State: 58:[49, 14, 58, 81], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [58, 81, 35] Generated Node #2: [58, 81, 35] from Operation: 49-14=35 Current State: 58:[58, 81, 35], Operations: ['49-14=35'] Exploring Operation: 81-58=23, Resulting Numbers: [35, 23] Generated Node #3: [35, 23] from Operation: 81-58=23 Current State: 58:[35, 23], Operations: ['49-14=35', '81-58=23'] Exploring Operation: 35+23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 38, 61, 60, 28 ]
67
[ "38+61=99", "60-28=32", "99-32=67" ]
Current State: 67:[38, 61, 60, 28], Operations: [] Exploring Operation: 38+61=99, Resulting Numbers: [60, 28, 99] Generated Node #2: [60, 28, 99] from Operation: 38+61=99 Current State: 67:[60, 28, 99], Operations: ['38+61=99'] Exploring Operation: 60-28=32, Resulting Numbers: [99, 32] Generated Node #3: [99, 32] from Operation: 60-28=32 Current State: 67:[99, 32], Operations: ['38+61=99', '60-28=32'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 51, 94, 29 ]
43
[ "51+94=145", "145/29=5", "38+5=43" ]
Current State: 43:[38, 51, 94, 29], Operations: [] Exploring Operation: 51+94=145, Resulting Numbers: [38, 29, 145] Generated Node #2: [38, 29, 145] from Operation: 51+94=145 Current State: 43:[38, 29, 145], Operations: ['51+94=145'] Exploring Operation: 145/29=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 145/29=5 Current State: 43:[38, 5], Operations: ['51+94=145', '145/29=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 87, 26, 25 ]
31
[ "87-56=31", "26-25=1", "31*1=31" ]
Current State: 31:[56, 87, 26, 25], Operations: [] Exploring Operation: 87-56=31, Resulting Numbers: [26, 25, 31] Generated Node #2: [26, 25, 31] from Operation: 87-56=31 Current State: 31:[26, 25, 31], Operations: ['87-56=31'] Exploring Operation: 26-25=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 26-25=1 Current State: 31:[31, 1], Operations: ['87-56=31', '26-25=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 13, 35, 66 ]
80
[ "62-13=49", "66-35=31", "49+31=80" ]
Current State: 80:[62, 13, 35, 66], Operations: [] Exploring Operation: 62-13=49, Resulting Numbers: [35, 66, 49] Generated Node #2: [35, 66, 49] from Operation: 62-13=49 Current State: 80:[35, 66, 49], Operations: ['62-13=49'] Exploring Operation: 66-35=31, Resulting Numbers: [49, 31] Generated Node #3: [49, 31] from Operation: 66-35=31 Current State: 80:[49, 31], Operations: ['62-13=49', '66-35=31'] Exploring Operation: 49+31=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 44, 57, 92 ]
15
[ "57-44=13", "92+13=105", "105/7=15" ]
Current State: 15:[7, 44, 57, 92], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [7, 92, 13] Generated Node #2: [7, 92, 13] from Operation: 57-44=13 Current State: 15:[7, 92, 13], Operations: ['57-44=13'] Exploring Operation: 92+13=105, Resulting Numbers: [7, 105] Generated Node #3: [7, 105] from Operation: 92+13=105 Current State: 15:[7, 105], Operations: ['57-44=13', '92+13=105'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 20, 52, 10 ]
54
[ "94+52=146", "20*10=200", "200-146=54" ]
Current State: 54:[94, 20, 52, 10], Operations: [] Exploring Operation: 94+52=146, Resulting Numbers: [20, 10, 146] Generated Node #2: [20, 10, 146] from Operation: 94+52=146 Current State: 54:[20, 10, 146], Operations: ['94+52=146'] Exploring Operation: 20*10=200, Resulting Numbers: [146, 200] Generated Node #3: [146, 200] from Operation: 20*10=200 Current State: 54:[146, 200], Operations: ['94+52=146', '20*10=200'] Exploring Operation: 200-146=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 79, 8, 10 ]
93
[ "79-4=75", "8+10=18", "75+18=93" ]
Current State: 93:[4, 79, 8, 10], Operations: [] Exploring Operation: 79-4=75, Resulting Numbers: [8, 10, 75] Generated Node #2: [8, 10, 75] from Operation: 79-4=75 Current State: 93:[8, 10, 75], Operations: ['79-4=75'] Exploring Operation: 8+10=18, Resulting Numbers: [75, 18] Generated Node #3: [75, 18] from Operation: 8+10=18 Current State: 93:[75, 18], Operations: ['79-4=75', '8+10=18'] Exploring Operation: 75+18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 56, 60, 42, 21 ]
50
[ "56-21=35", "60*35=2100", "2100/42=50" ]
Current State: 50:[56, 60, 42, 21], Operations: [] Exploring Operation: 56-21=35, Resulting Numbers: [60, 42, 35] Generated Node #2: [60, 42, 35] from Operation: 56-21=35 Current State: 50:[60, 42, 35], Operations: ['56-21=35'] Exploring Operation: 60*35=2100, Resulting Numbers: [42, 2100] Generated Node #3: [42, 2100] from Operation: 60*35=2100 Current State: 50:[42, 2100], Operations: ['56-21=35', '60*35=2100'] Exploring Operation: 2100/42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 91, 56, 6 ]
60
[ "56+6=62", "62/2=31", "91-31=60" ]
Current State: 60:[2, 91, 56, 6], Operations: [] Exploring Operation: 56+6=62, Resulting Numbers: [2, 91, 62] Generated Node #2: [2, 91, 62] from Operation: 56+6=62 Current State: 60:[2, 91, 62], Operations: ['56+6=62'] Exploring Operation: 62/2=31, Resulting Numbers: [91, 31] Generated Node #3: [91, 31] from Operation: 62/2=31 Current State: 60:[91, 31], Operations: ['56+6=62', '62/2=31'] Exploring Operation: 91-31=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 62, 33, 7 ]
64
[ "33+7=40", "40/20=2", "62+2=64" ]
Current State: 64:[20, 62, 33, 7], Operations: [] Exploring Operation: 33+7=40, Resulting Numbers: [20, 62, 40] Generated Node #2: [20, 62, 40] from Operation: 33+7=40 Current State: 64:[20, 62, 40], Operations: ['33+7=40'] Exploring Operation: 40/20=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 40/20=2 Current State: 64:[62, 2], Operations: ['33+7=40', '40/20=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 91, 62, 59, 9 ]
88
[ "62-59=3", "9/3=3", "91-3=88" ]
Current State: 88:[91, 62, 59, 9], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [91, 9, 3] Generated Node #2: [91, 9, 3] from Operation: 62-59=3 Current State: 88:[91, 9, 3], Operations: ['62-59=3'] Exploring Operation: 9/3=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 9/3=3 Current State: 88:[91, 3], Operations: ['62-59=3', '9/3=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 60, 90, 83 ]
29
[ "90/15=6", "83-60=23", "6+23=29" ]
Current State: 29:[15, 60, 90, 83], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [60, 83, 6] Generated Node #2: [60, 83, 6] from Operation: 90/15=6 Current State: 29:[60, 83, 6], Operations: ['90/15=6'] Exploring Operation: 83-60=23, Resulting Numbers: [6, 23] Generated Node #3: [6, 23] from Operation: 83-60=23 Current State: 29:[6, 23], Operations: ['90/15=6', '83-60=23'] Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 55, 49, 11, 37 ]
17
[ "55/11=5", "49-37=12", "5+12=17" ]
Current State: 17:[55, 49, 11, 37], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [49, 37, 5] Generated Node #2: [49, 37, 5] from Operation: 55/11=5 Current State: 17:[49, 37, 5], Operations: ['55/11=5'] Exploring Operation: 49-37=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 49-37=12 Current State: 17:[5, 12], Operations: ['55/11=5', '49-37=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 76, 8, 92, 86 ]
65
[ "76+92=168", "168/8=21", "86-21=65" ]
Current State: 65:[76, 8, 92, 86], Operations: [] Exploring Operation: 76+92=168, Resulting Numbers: [8, 86, 168] Generated Node #2: [8, 86, 168] from Operation: 76+92=168 Current State: 65:[8, 86, 168], Operations: ['76+92=168'] Exploring Operation: 168/8=21, Resulting Numbers: [86, 21] Generated Node #3: [86, 21] from Operation: 168/8=21 Current State: 65:[86, 21], Operations: ['76+92=168', '168/8=21'] Exploring Operation: 86-21=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 46, 36, 48, 6 ]
69
[ "48+6=54", "46*54=2484", "2484/36=69" ]
Current State: 69:[46, 36, 48, 6], Operations: [] Exploring Operation: 48+6=54, Resulting Numbers: [46, 36, 54] Generated Node #2: [46, 36, 54] from Operation: 48+6=54 Current State: 69:[46, 36, 54], Operations: ['48+6=54'] Exploring Operation: 46*54=2484, Resulting Numbers: [36, 2484] Generated Node #3: [36, 2484] from Operation: 46*54=2484 Current State: 69:[36, 2484], Operations: ['48+6=54', '46*54=2484'] Exploring Operation: 2484/36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 77, 67, 29 ]
19
[ "96-77=19", "67-29=38", "38-19=19" ]
Current State: 19:[96, 77, 67, 29], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [67, 29, 19] Generated Node #2: [67, 29, 19] from Operation: 96-77=19 Current State: 19:[67, 29, 19], Operations: ['96-77=19'] Exploring Operation: 67-29=38, Resulting Numbers: [19, 38] Generated Node #3: [19, 38] from Operation: 67-29=38 Current State: 19:[19, 38], Operations: ['96-77=19', '67-29=38'] Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 37, 63, 10, 40 ]
30
[ "37+63=100", "100/10=10", "40-10=30" ]
Current State: 30:[37, 63, 10, 40], Operations: [] Exploring Operation: 37+63=100, Resulting Numbers: [10, 40, 100] Generated Node #2: [10, 40, 100] from Operation: 37+63=100 Current State: 30:[10, 40, 100], Operations: ['37+63=100'] Exploring Operation: 100/10=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 100/10=10 Current State: 30:[40, 10], Operations: ['37+63=100', '100/10=10'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 88, 83, 48 ]
52
[ "83-48=35", "4*35=140", "140-88=52" ]
Current State: 52:[4, 88, 83, 48], Operations: [] Exploring Operation: 83-48=35, Resulting Numbers: [4, 88, 35] Generated Node #2: [4, 88, 35] from Operation: 83-48=35 Current State: 52:[4, 88, 35], Operations: ['83-48=35'] Exploring Operation: 4*35=140, Resulting Numbers: [88, 140] Generated Node #3: [88, 140] from Operation: 4*35=140 Current State: 52:[88, 140], Operations: ['83-48=35', '4*35=140'] Exploring Operation: 140-88=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 90, 18, 36 ]
80
[ "49+36=85", "90/18=5", "85-5=80" ]
Current State: 80:[49, 90, 18, 36], Operations: [] Exploring Operation: 49+36=85, Resulting Numbers: [90, 18, 85] Generated Node #2: [90, 18, 85] from Operation: 49+36=85 Current State: 80:[90, 18, 85], Operations: ['49+36=85'] Exploring Operation: 90/18=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 90/18=5 Current State: 80:[85, 5], Operations: ['49+36=85', '90/18=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 21, 73, 24 ]
79
[ "9+21=30", "73-24=49", "30+49=79" ]
Current State: 79:[9, 21, 73, 24], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [73, 24, 30] Generated Node #2: [73, 24, 30] from Operation: 9+21=30 Current State: 79:[73, 24, 30], Operations: ['9+21=30'] Exploring Operation: 73-24=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 73-24=49 Current State: 79:[30, 49], Operations: ['9+21=30', '73-24=49'] Exploring Operation: 30+49=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 3, 85, 54 ]
12
[ "85-55=30", "54/3=18", "30-18=12" ]
Current State: 12:[55, 3, 85, 54], Operations: [] Exploring Operation: 85-55=30, Resulting Numbers: [3, 54, 30] Generated Node #2: [3, 54, 30] from Operation: 85-55=30 Current State: 12:[3, 54, 30], Operations: ['85-55=30'] Exploring Operation: 54/3=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 54/3=18 Current State: 12:[30, 18], Operations: ['85-55=30', '54/3=18'] Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 51, 18, 74 ]
66
[ "51-41=10", "74-18=56", "10+56=66" ]
Current State: 66:[41, 51, 18, 74], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [18, 74, 10] Generated Node #2: [18, 74, 10] from Operation: 51-41=10 Current State: 66:[18, 74, 10], Operations: ['51-41=10'] Exploring Operation: 74-18=56, Resulting Numbers: [10, 56] Generated Node #3: [10, 56] from Operation: 74-18=56 Current State: 66:[10, 56], Operations: ['51-41=10', '74-18=56'] Exploring Operation: 10+56=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 21, 63, 50, 54 ]
12
[ "63/21=3", "54-50=4", "3*4=12" ]
Current State: 12:[21, 63, 50, 54], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [50, 54, 3] Generated Node #2: [50, 54, 3] from Operation: 63/21=3 Current State: 12:[50, 54, 3], Operations: ['63/21=3'] Exploring Operation: 54-50=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 54-50=4 Current State: 12:[3, 4], Operations: ['63/21=3', '54-50=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 4, 77, 96 ]
58
[ "4-2=2", "77*2=154", "154-96=58" ]
Current State: 58:[2, 4, 77, 96], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [77, 96, 2] Generated Node #2: [77, 96, 2] from Operation: 4-2=2 Current State: 58:[77, 96, 2], Operations: ['4-2=2'] Exploring Operation: 77*2=154, Resulting Numbers: [96, 154] Generated Node #3: [96, 154] from Operation: 77*2=154 Current State: 58:[96, 154], Operations: ['4-2=2', '77*2=154'] Exploring Operation: 154-96=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 76, 3, 4 ]
90
[ "7+76=83", "3+4=7", "83+7=90" ]
Current State: 90:[7, 76, 3, 4], Operations: [] Exploring Operation: 7+76=83, Resulting Numbers: [3, 4, 83] Generated Node #2: [3, 4, 83] from Operation: 7+76=83 Current State: 90:[3, 4, 83], Operations: ['7+76=83'] Exploring Operation: 3+4=7, Resulting Numbers: [83, 7] Generated Node #3: [83, 7] from Operation: 3+4=7 Current State: 90:[83, 7], Operations: ['7+76=83', '3+4=7'] Exploring Operation: 83+7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 17, 20, 23 ]
86
[ "60-17=43", "20+23=43", "43+43=86" ]
Current State: 86:[60, 17, 20, 23], Operations: [] Exploring Operation: 60-17=43, Resulting Numbers: [20, 23, 43] Generated Node #2: [20, 23, 43] from Operation: 60-17=43 Current State: 86:[20, 23, 43], Operations: ['60-17=43'] Exploring Operation: 20+23=43, Resulting Numbers: [43, 43] Generated Node #3: [43, 43] from Operation: 20+23=43 Current State: 86:[43, 43], Operations: ['60-17=43', '20+23=43'] Exploring Operation: 43+43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 47, 9, 21 ]
57
[ "21/21=1", "47+9=56", "1+56=57" ]
Current State: 57:[21, 47, 9, 21], Operations: [] Exploring Operation: 21/21=1, Resulting Numbers: [47, 9, 1] Generated Node #2: [47, 9, 1] from Operation: 21/21=1 Current State: 57:[47, 9, 1], Operations: ['21/21=1'] Exploring Operation: 47+9=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 47+9=56 Current State: 57:[1, 56], Operations: ['21/21=1', '47+9=56'] Exploring Operation: 1+56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 33, 60, 84 ]
12
[ "45-33=12", "60+84=144", "144/12=12" ]
Current State: 12:[45, 33, 60, 84], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [60, 84, 12] Generated Node #2: [60, 84, 12] from Operation: 45-33=12 Current State: 12:[60, 84, 12], Operations: ['45-33=12'] Exploring Operation: 60+84=144, Resulting Numbers: [12, 144] Generated Node #3: [12, 144] from Operation: 60+84=144 Current State: 12:[12, 144], Operations: ['45-33=12', '60+84=144'] Exploring Operation: 144/12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 11, 5, 3, 70 ]
19
[ "11*3=33", "70/5=14", "33-14=19" ]
Current State: 19:[11, 5, 3, 70], Operations: [] Exploring Operation: 11*3=33, Resulting Numbers: [5, 70, 33] Generated Node #2: [5, 70, 33] from Operation: 11*3=33 Current State: 19:[5, 70, 33], Operations: ['11*3=33'] Exploring Operation: 70/5=14, Resulting Numbers: [33, 14] Generated Node #3: [33, 14] from Operation: 70/5=14 Current State: 19:[33, 14], Operations: ['11*3=33', '70/5=14'] Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 32, 3, 22 ]
96
[ "14*3=42", "32+22=54", "42+54=96" ]
Current State: 96:[14, 32, 3, 22], Operations: [] Exploring Operation: 14*3=42, Resulting Numbers: [32, 22, 42] Generated Node #2: [32, 22, 42] from Operation: 14*3=42 Current State: 96:[32, 22, 42], Operations: ['14*3=42'] Exploring Operation: 32+22=54, Resulting Numbers: [42, 54] Generated Node #3: [42, 54] from Operation: 32+22=54 Current State: 96:[42, 54], Operations: ['14*3=42', '32+22=54'] Exploring Operation: 42+54=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 45, 12, 1, 17 ]
41
[ "45+12=57", "17-1=16", "57-16=41" ]
Current State: 41:[45, 12, 1, 17], Operations: [] Exploring Operation: 45+12=57, Resulting Numbers: [1, 17, 57] Generated Node #2: [1, 17, 57] from Operation: 45+12=57 Current State: 41:[1, 17, 57], Operations: ['45+12=57'] Exploring Operation: 17-1=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 17-1=16 Current State: 41:[57, 16], Operations: ['45+12=57', '17-1=16'] Exploring Operation: 57-16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 98, 80, 91, 73 ]
85
[ "80-73=7", "91/7=13", "98-13=85" ]
Current State: 85:[98, 80, 91, 73], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [98, 91, 7] Generated Node #2: [98, 91, 7] from Operation: 80-73=7 Current State: 85:[98, 91, 7], Operations: ['80-73=7'] Exploring Operation: 91/7=13, Resulting Numbers: [98, 13] Generated Node #3: [98, 13] from Operation: 91/7=13 Current State: 85:[98, 13], Operations: ['80-73=7', '91/7=13'] Exploring Operation: 98-13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 25, 94, 13 ]
100
[ "25-13=12", "12/2=6", "94+6=100" ]
Current State: 100:[2, 25, 94, 13], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [2, 94, 12] Generated Node #2: [2, 94, 12] from Operation: 25-13=12 Current State: 100:[2, 94, 12], Operations: ['25-13=12'] Exploring Operation: 12/2=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 12/2=6 Current State: 100:[94, 6], Operations: ['25-13=12', '12/2=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 85, 82, 8 ]
82
[ "71+85=156", "82-8=74", "156-74=82" ]
Current State: 82:[71, 85, 82, 8], Operations: [] Exploring Operation: 71+85=156, Resulting Numbers: [82, 8, 156] Generated Node #2: [82, 8, 156] from Operation: 71+85=156 Current State: 82:[82, 8, 156], Operations: ['71+85=156'] Exploring Operation: 82-8=74, Resulting Numbers: [156, 74] Generated Node #3: [156, 74] from Operation: 82-8=74 Current State: 82:[156, 74], Operations: ['71+85=156', '82-8=74'] Exploring Operation: 156-74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 15, 21, 80 ]
34
[ "9*15=135", "21+80=101", "135-101=34" ]
Current State: 34:[9, 15, 21, 80], Operations: [] Exploring Operation: 9*15=135, Resulting Numbers: [21, 80, 135] Generated Node #2: [21, 80, 135] from Operation: 9*15=135 Current State: 34:[21, 80, 135], Operations: ['9*15=135'] Exploring Operation: 21+80=101, Resulting Numbers: [135, 101] Generated Node #3: [135, 101] from Operation: 21+80=101 Current State: 34:[135, 101], Operations: ['9*15=135', '21+80=101'] Exploring Operation: 135-101=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 17, 58, 72, 16 ]
13
[ "17+58=75", "72+16=88", "88-75=13" ]
Current State: 13:[17, 58, 72, 16], Operations: [] Exploring Operation: 17+58=75, Resulting Numbers: [72, 16, 75] Generated Node #2: [72, 16, 75] from Operation: 17+58=75 Current State: 13:[72, 16, 75], Operations: ['17+58=75'] Exploring Operation: 72+16=88, Resulting Numbers: [75, 88] Generated Node #3: [75, 88] from Operation: 72+16=88 Current State: 13:[75, 88], Operations: ['17+58=75', '72+16=88'] Exploring Operation: 88-75=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 61, 31, 53, 93 ]
10
[ "61-31=30", "93-53=40", "40-30=10" ]
Current State: 10:[61, 31, 53, 93], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [53, 93, 30] Generated Node #2: [53, 93, 30] from Operation: 61-31=30 Current State: 10:[53, 93, 30], Operations: ['61-31=30'] Exploring Operation: 93-53=40, Resulting Numbers: [30, 40] Generated Node #3: [30, 40] from Operation: 93-53=40 Current State: 10:[30, 40], Operations: ['61-31=30', '93-53=40'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 23, 62, 34 ]
69
[ "18+23=41", "62-34=28", "41+28=69" ]
Current State: 69:[18, 23, 62, 34], Operations: [] Exploring Operation: 18+23=41, Resulting Numbers: [62, 34, 41] Generated Node #2: [62, 34, 41] from Operation: 18+23=41 Current State: 69:[62, 34, 41], Operations: ['18+23=41'] Exploring Operation: 62-34=28, Resulting Numbers: [41, 28] Generated Node #3: [41, 28] from Operation: 62-34=28 Current State: 69:[41, 28], Operations: ['18+23=41', '62-34=28'] Exploring Operation: 41+28=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 53, 23, 72 ]
58
[ "43+72=115", "115/23=5", "53+5=58" ]
Current State: 58:[43, 53, 23, 72], Operations: [] Exploring Operation: 43+72=115, Resulting Numbers: [53, 23, 115] Generated Node #2: [53, 23, 115] from Operation: 43+72=115 Current State: 58:[53, 23, 115], Operations: ['43+72=115'] Exploring Operation: 115/23=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 115/23=5 Current State: 58:[53, 5], Operations: ['43+72=115', '115/23=5'] Exploring Operation: 53+5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 84, 86, 24 ]
72
[ "86-58=28", "84*24=2016", "2016/28=72" ]
Current State: 72:[58, 84, 86, 24], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [84, 24, 28] Generated Node #2: [84, 24, 28] from Operation: 86-58=28 Current State: 72:[84, 24, 28], Operations: ['86-58=28'] Exploring Operation: 84*24=2016, Resulting Numbers: [28, 2016] Generated Node #3: [28, 2016] from Operation: 84*24=2016 Current State: 72:[28, 2016], Operations: ['86-58=28', '84*24=2016'] Exploring Operation: 2016/28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 56, 35, 45, 96 ]
50
[ "56+35=91", "45+96=141", "141-91=50" ]
Current State: 50:[56, 35, 45, 96], Operations: [] Exploring Operation: 56+35=91, Resulting Numbers: [45, 96, 91] Generated Node #2: [45, 96, 91] from Operation: 56+35=91 Current State: 50:[45, 96, 91], Operations: ['56+35=91'] Exploring Operation: 45+96=141, Resulting Numbers: [91, 141] Generated Node #3: [91, 141] from Operation: 45+96=141 Current State: 50:[91, 141], Operations: ['56+35=91', '45+96=141'] Exploring Operation: 141-91=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 88, 60, 85 ]
65
[ "91-88=3", "60/3=20", "85-20=65" ]
Current State: 65:[91, 88, 60, 85], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [60, 85, 3] Generated Node #2: [60, 85, 3] from Operation: 91-88=3 Current State: 65:[60, 85, 3], Operations: ['91-88=3'] Exploring Operation: 60/3=20, Resulting Numbers: [85, 20] Generated Node #3: [85, 20] from Operation: 60/3=20 Current State: 65:[85, 20], Operations: ['91-88=3', '60/3=20'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 51, 42, 79, 5 ]
16
[ "51+79=130", "130/5=26", "42-26=16" ]
Current State: 16:[51, 42, 79, 5], Operations: [] Exploring Operation: 51+79=130, Resulting Numbers: [42, 5, 130] Generated Node #2: [42, 5, 130] from Operation: 51+79=130 Current State: 16:[42, 5, 130], Operations: ['51+79=130'] Exploring Operation: 130/5=26, Resulting Numbers: [42, 26] Generated Node #3: [42, 26] from Operation: 130/5=26 Current State: 16:[42, 26], Operations: ['51+79=130', '130/5=26'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 72, 3, 82 ]
87
[ "72-70=2", "3+82=85", "2+85=87" ]
Current State: 87:[70, 72, 3, 82], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [3, 82, 2] Generated Node #2: [3, 82, 2] from Operation: 72-70=2 Current State: 87:[3, 82, 2], Operations: ['72-70=2'] Exploring Operation: 3+82=85, Resulting Numbers: [2, 85] Generated Node #3: [2, 85] from Operation: 3+82=85 Current State: 87:[2, 85], Operations: ['72-70=2', '3+82=85'] Exploring Operation: 2+85=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 42, 4, 73 ]
25
[ "2+42=44", "73-4=69", "69-44=25" ]
Current State: 25:[2, 42, 4, 73], Operations: [] Exploring Operation: 2+42=44, Resulting Numbers: [4, 73, 44] Generated Node #2: [4, 73, 44] from Operation: 2+42=44 Current State: 25:[4, 73, 44], Operations: ['2+42=44'] Exploring Operation: 73-4=69, Resulting Numbers: [44, 69] Generated Node #3: [44, 69] from Operation: 73-4=69 Current State: 25:[44, 69], Operations: ['2+42=44', '73-4=69'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 34, 85, 24, 64 ]
79
[ "34+85=119", "64-24=40", "119-40=79" ]
Current State: 79:[34, 85, 24, 64], Operations: [] Exploring Operation: 34+85=119, Resulting Numbers: [24, 64, 119] Generated Node #2: [24, 64, 119] from Operation: 34+85=119 Current State: 79:[24, 64, 119], Operations: ['34+85=119'] Exploring Operation: 64-24=40, Resulting Numbers: [119, 40] Generated Node #3: [119, 40] from Operation: 64-24=40 Current State: 79:[119, 40], Operations: ['34+85=119', '64-24=40'] Exploring Operation: 119-40=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 42, 21, 4 ]
51
[ "15+21=36", "36/4=9", "42+9=51" ]
Current State: 51:[15, 42, 21, 4], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [42, 4, 36] Generated Node #2: [42, 4, 36] from Operation: 15+21=36 Current State: 51:[42, 4, 36], Operations: ['15+21=36'] Exploring Operation: 36/4=9, Resulting Numbers: [42, 9] Generated Node #3: [42, 9] from Operation: 36/4=9 Current State: 51:[42, 9], Operations: ['15+21=36', '36/4=9'] Exploring Operation: 42+9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 84, 51, 92 ]
89
[ "84-30=54", "51+92=143", "143-54=89" ]
Current State: 89:[30, 84, 51, 92], Operations: [] Exploring Operation: 84-30=54, Resulting Numbers: [51, 92, 54] Generated Node #2: [51, 92, 54] from Operation: 84-30=54 Current State: 89:[51, 92, 54], Operations: ['84-30=54'] Exploring Operation: 51+92=143, Resulting Numbers: [54, 143] Generated Node #3: [54, 143] from Operation: 51+92=143 Current State: 89:[54, 143], Operations: ['84-30=54', '51+92=143'] Exploring Operation: 143-54=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 57, 24, 27, 36 ]
81
[ "57-24=33", "36-33=3", "27*3=81" ]
Current State: 81:[57, 24, 27, 36], Operations: [] Exploring Operation: 57-24=33, Resulting Numbers: [27, 36, 33] Generated Node #2: [27, 36, 33] from Operation: 57-24=33 Current State: 81:[27, 36, 33], Operations: ['57-24=33'] Exploring Operation: 36-33=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 36-33=3 Current State: 81:[27, 3], Operations: ['57-24=33', '36-33=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4