Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 34, 26, 55, 24 ]
79
[ "34*55=1870", "26+1870=1896", "1896/24=79" ]
Current State: 79:[34, 26, 55, 24], Operations: [] Exploring Operation: 34*55=1870, Resulting Numbers: [26, 24, 1870] Generated Node #2: [26, 24, 1870] from Operation: 34*55=1870 Current State: 79:[26, 24, 1870], Operations: ['34*55=1870'] Exploring Operation: 26+1870=1896, Resulting Numbers: [24, 1896] Generated Node #3: [24, 1896] from Operation: 26+1870=1896 Current State: 79:[24, 1896], Operations: ['34*55=1870', '26+1870=1896'] Exploring Operation: 1896/24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 92, 82, 90, 21 ]
59
[ "92-82=10", "90-21=69", "69-10=59" ]
Current State: 59:[92, 82, 90, 21], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [90, 21, 10] Generated Node #2: [90, 21, 10] from Operation: 92-82=10 Current State: 59:[90, 21, 10], Operations: ['92-82=10'] Exploring Operation: 90-21=69, Resulting Numbers: [10, 69] Generated Node #3: [10, 69] from Operation: 90-21=69 Current State: 59:[10, 69], Operations: ['92-82=10', '90-21=69'] Exploring Operation: 69-10=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 74, 2, 38, 25 ]
43
[ "74-38=36", "36/2=18", "25+18=43" ]
Current State: 43:[74, 2, 38, 25], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [2, 25, 36] Generated Node #2: [2, 25, 36] from Operation: 74-38=36 Current State: 43:[2, 25, 36], Operations: ['74-38=36'] Exploring Operation: 36/2=18, Resulting Numbers: [25, 18] Generated Node #3: [25, 18] from Operation: 36/2=18 Current State: 43:[25, 18], Operations: ['74-38=36', '36/2=18'] Exploring Operation: 25+18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 45, 25, 48 ]
19
[ "48-45=3", "25*3=75", "75-56=19" ]
Current State: 19:[56, 45, 25, 48], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [56, 25, 3] Generated Node #2: [56, 25, 3] from Operation: 48-45=3 Current State: 19:[56, 25, 3], Operations: ['48-45=3'] Exploring Operation: 25*3=75, Resulting Numbers: [56, 75] Generated Node #3: [56, 75] from Operation: 25*3=75 Current State: 19:[56, 75], Operations: ['48-45=3', '25*3=75'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 36, 77, 60 ]
29
[ "36-24=12", "77-60=17", "12+17=29" ]
Current State: 29:[24, 36, 77, 60], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [77, 60, 12] Generated Node #2: [77, 60, 12] from Operation: 36-24=12 Current State: 29:[77, 60, 12], Operations: ['36-24=12'] Exploring Operation: 77-60=17, Resulting Numbers: [12, 17] Generated Node #3: [12, 17] from Operation: 77-60=17 Current State: 29:[12, 17], Operations: ['36-24=12', '77-60=17'] Exploring Operation: 12+17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 13, 56, 64 ]
91
[ "70+13=83", "64-56=8", "83+8=91" ]
Current State: 91:[70, 13, 56, 64], Operations: [] Exploring Operation: 70+13=83, Resulting Numbers: [56, 64, 83] Generated Node #2: [56, 64, 83] from Operation: 70+13=83 Current State: 91:[56, 64, 83], Operations: ['70+13=83'] Exploring Operation: 64-56=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 64-56=8 Current State: 91:[83, 8], Operations: ['70+13=83', '64-56=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 51, 7, 22, 57 ]
22
[ "51+7=58", "58-57=1", "22*1=22" ]
Current State: 22:[51, 7, 22, 57], Operations: [] Exploring Operation: 51+7=58, Resulting Numbers: [22, 57, 58] Generated Node #2: [22, 57, 58] from Operation: 51+7=58 Current State: 22:[22, 57, 58], Operations: ['51+7=58'] Exploring Operation: 58-57=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 58-57=1 Current State: 22:[22, 1], Operations: ['51+7=58', '58-57=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 30, 77, 30, 67 ]
70
[ "30+77=107", "67-30=37", "107-37=70" ]
Current State: 70:[30, 77, 30, 67], Operations: [] Exploring Operation: 30+77=107, Resulting Numbers: [67, 107] Generated Node #2: [67, 107] from Operation: 30+77=107 Current State: 70:[67, 107], Operations: ['30+77=107'] Exploring Operation: 67-30=37, Resulting Numbers: [107, 37] Generated Node #3: [107, 37] from Operation: 67-30=37 Current State: 70:[107, 37], Operations: ['30+77=107', '67-30=37'] Exploring Operation: 107-37=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 70, 38, 4, 7 ]
60
[ "70-38=32", "4*7=28", "32+28=60" ]
Current State: 60:[70, 38, 4, 7], Operations: [] Exploring Operation: 70-38=32, Resulting Numbers: [4, 7, 32] Generated Node #2: [4, 7, 32] from Operation: 70-38=32 Current State: 60:[4, 7, 32], Operations: ['70-38=32'] Exploring Operation: 4*7=28, Resulting Numbers: [32, 28] Generated Node #3: [32, 28] from Operation: 4*7=28 Current State: 60:[32, 28], Operations: ['70-38=32', '4*7=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 12, 26, 44, 54 ]
13
[ "12+44=56", "56-54=2", "26/2=13" ]
Current State: 13:[12, 26, 44, 54], Operations: [] Exploring Operation: 12+44=56, Resulting Numbers: [26, 54, 56] Generated Node #2: [26, 54, 56] from Operation: 12+44=56 Current State: 13:[26, 54, 56], Operations: ['12+44=56'] Exploring Operation: 56-54=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 56-54=2 Current State: 13:[26, 2], Operations: ['12+44=56', '56-54=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 30, 83, 89 ]
33
[ "30-3=27", "89-83=6", "27+6=33" ]
Current State: 33:[3, 30, 83, 89], Operations: [] Exploring Operation: 30-3=27, Resulting Numbers: [83, 89, 27] Generated Node #2: [83, 89, 27] from Operation: 30-3=27 Current State: 33:[83, 89, 27], Operations: ['30-3=27'] Exploring Operation: 89-83=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 89-83=6 Current State: 33:[27, 6], Operations: ['30-3=27', '89-83=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 5, 69, 12 ]
83
[ "5-3=2", "69+12=81", "2+81=83" ]
Current State: 83:[3, 5, 69, 12], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [69, 12, 2] Generated Node #2: [69, 12, 2] from Operation: 5-3=2 Current State: 83:[69, 12, 2], Operations: ['5-3=2'] Exploring Operation: 69+12=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 69+12=81 Current State: 83:[2, 81], Operations: ['5-3=2', '69+12=81'] Exploring Operation: 2+81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 28, 64, 77, 31 ]
72
[ "64-28=36", "77+31=108", "108-36=72" ]
Current State: 72:[28, 64, 77, 31], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [77, 31, 36] Generated Node #2: [77, 31, 36] from Operation: 64-28=36 Current State: 72:[77, 31, 36], Operations: ['64-28=36'] Exploring Operation: 77+31=108, Resulting Numbers: [36, 108] Generated Node #3: [36, 108] from Operation: 77+31=108 Current State: 72:[36, 108], Operations: ['64-28=36', '77+31=108'] Exploring Operation: 108-36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 30, 54, 17 ]
73
[ "30-28=2", "54+17=71", "2+71=73" ]
Current State: 73:[28, 30, 54, 17], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [54, 17, 2] Generated Node #2: [54, 17, 2] from Operation: 30-28=2 Current State: 73:[54, 17, 2], Operations: ['30-28=2'] Exploring Operation: 54+17=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 54+17=71 Current State: 73:[2, 71], Operations: ['30-28=2', '54+17=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 77, 29, 28, 19 ]
80
[ "29+28=57", "57/19=3", "77+3=80" ]
Current State: 80:[77, 29, 28, 19], Operations: [] Exploring Operation: 29+28=57, Resulting Numbers: [77, 19, 57] Generated Node #2: [77, 19, 57] from Operation: 29+28=57 Current State: 80:[77, 19, 57], Operations: ['29+28=57'] Exploring Operation: 57/19=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 57/19=3 Current State: 80:[77, 3], Operations: ['29+28=57', '57/19=3'] Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 24, 48, 29 ]
59
[ "15*48=720", "720/24=30", "29+30=59" ]
Current State: 59:[15, 24, 48, 29], Operations: [] Exploring Operation: 15*48=720, Resulting Numbers: [24, 29, 720] Generated Node #2: [24, 29, 720] from Operation: 15*48=720 Current State: 59:[24, 29, 720], Operations: ['15*48=720'] Exploring Operation: 720/24=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 720/24=30 Current State: 59:[29, 30], Operations: ['15*48=720', '720/24=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 92, 58, 91, 87 ]
30
[ "92-58=34", "91-87=4", "34-4=30" ]
Current State: 30:[92, 58, 91, 87], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [91, 87, 34] Generated Node #2: [91, 87, 34] from Operation: 92-58=34 Current State: 30:[91, 87, 34], Operations: ['92-58=34'] Exploring Operation: 91-87=4, Resulting Numbers: [34, 4] Generated Node #3: [34, 4] from Operation: 91-87=4 Current State: 30:[34, 4], Operations: ['92-58=34', '91-87=4'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 44, 11, 83, 4 ]
82
[ "44/11=4", "4/4=1", "83-1=82" ]
Current State: 82:[44, 11, 83, 4], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [83, 4, 4] Generated Node #2: [83, 4, 4] from Operation: 44/11=4 Current State: 82:[83, 4, 4], Operations: ['44/11=4'] Exploring Operation: 4/4=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 4/4=1 Current State: 82:[83, 1], Operations: ['44/11=4', '4/4=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 23, 34, 11, 97 ]
96
[ "34-23=11", "11/11=1", "97-1=96" ]
Current State: 96:[23, 34, 11, 97], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [11, 97, 11] Generated Node #2: [11, 97, 11] from Operation: 34-23=11 Current State: 96:[11, 97, 11], Operations: ['34-23=11'] Exploring Operation: 11/11=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 11/11=1 Current State: 96:[97, 1], Operations: ['34-23=11', '11/11=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 51, 1, 37, 58 ]
30
[ "51*1=51", "58-37=21", "51-21=30" ]
Current State: 30:[51, 1, 37, 58], Operations: [] Exploring Operation: 51*1=51, Resulting Numbers: [37, 58, 51] Generated Node #2: [37, 58, 51] from Operation: 51*1=51 Current State: 30:[37, 58, 51], Operations: ['51*1=51'] Exploring Operation: 58-37=21, Resulting Numbers: [51, 21] Generated Node #3: [51, 21] from Operation: 58-37=21 Current State: 30:[51, 21], Operations: ['51*1=51', '58-37=21'] Exploring Operation: 51-21=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 90, 12, 51 ]
68
[ "90+12=102", "102/51=2", "70-2=68" ]
Current State: 68:[70, 90, 12, 51], Operations: [] Exploring Operation: 90+12=102, Resulting Numbers: [70, 51, 102] Generated Node #2: [70, 51, 102] from Operation: 90+12=102 Current State: 68:[70, 51, 102], Operations: ['90+12=102'] Exploring Operation: 102/51=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 102/51=2 Current State: 68:[70, 2], Operations: ['90+12=102', '102/51=2'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 41, 45, 70 ]
82
[ "41-8=33", "45+70=115", "115-33=82" ]
Current State: 82:[8, 41, 45, 70], Operations: [] Exploring Operation: 41-8=33, Resulting Numbers: [45, 70, 33] Generated Node #2: [45, 70, 33] from Operation: 41-8=33 Current State: 82:[45, 70, 33], Operations: ['41-8=33'] Exploring Operation: 45+70=115, Resulting Numbers: [33, 115] Generated Node #3: [33, 115] from Operation: 45+70=115 Current State: 82:[33, 115], Operations: ['41-8=33', '45+70=115'] Exploring Operation: 115-33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 97, 91, 90, 29 ]
84
[ "97-91=6", "29*6=174", "174-90=84" ]
Current State: 84:[97, 91, 90, 29], Operations: [] Exploring Operation: 97-91=6, Resulting Numbers: [90, 29, 6] Generated Node #2: [90, 29, 6] from Operation: 97-91=6 Current State: 84:[90, 29, 6], Operations: ['97-91=6'] Exploring Operation: 29*6=174, Resulting Numbers: [90, 174] Generated Node #3: [90, 174] from Operation: 29*6=174 Current State: 84:[90, 174], Operations: ['97-91=6', '29*6=174'] Exploring Operation: 174-90=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 32, 20, 30 ]
46
[ "3*32=96", "20+30=50", "96-50=46" ]
Current State: 46:[3, 32, 20, 30], Operations: [] Exploring Operation: 3*32=96, Resulting Numbers: [20, 30, 96] Generated Node #2: [20, 30, 96] from Operation: 3*32=96 Current State: 46:[20, 30, 96], Operations: ['3*32=96'] Exploring Operation: 20+30=50, Resulting Numbers: [96, 50] Generated Node #3: [96, 50] from Operation: 20+30=50 Current State: 46:[96, 50], Operations: ['3*32=96', '20+30=50'] Exploring Operation: 96-50=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 29, 80, 76 ]
81
[ "29-13=16", "80/16=5", "76+5=81" ]
Current State: 81:[13, 29, 80, 76], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [80, 76, 16] Generated Node #2: [80, 76, 16] from Operation: 29-13=16 Current State: 81:[80, 76, 16], Operations: ['29-13=16'] Exploring Operation: 80/16=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 80/16=5 Current State: 81:[76, 5], Operations: ['29-13=16', '80/16=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 62, 17, 66, 6 ]
62
[ "66-62=4", "17*4=68", "68-6=62" ]
Current State: 62:[62, 17, 66, 6], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [17, 6, 4] Generated Node #2: [17, 6, 4] from Operation: 66-62=4 Current State: 62:[17, 6, 4], Operations: ['66-62=4'] Exploring Operation: 17*4=68, Resulting Numbers: [6, 68] Generated Node #3: [6, 68] from Operation: 17*4=68 Current State: 62:[6, 68], Operations: ['66-62=4', '17*4=68'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 37, 8, 60 ]
16
[ "37-1=36", "60-8=52", "52-36=16" ]
Current State: 16:[1, 37, 8, 60], Operations: [] Exploring Operation: 37-1=36, Resulting Numbers: [8, 60, 36] Generated Node #2: [8, 60, 36] from Operation: 37-1=36 Current State: 16:[8, 60, 36], Operations: ['37-1=36'] Exploring Operation: 60-8=52, Resulting Numbers: [36, 52] Generated Node #3: [36, 52] from Operation: 60-8=52 Current State: 16:[36, 52], Operations: ['37-1=36', '60-8=52'] Exploring Operation: 52-36=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 28, 93, 96, 5 ]
83
[ "93-28=65", "65/5=13", "96-13=83" ]
Current State: 83:[28, 93, 96, 5], Operations: [] Exploring Operation: 93-28=65, Resulting Numbers: [96, 5, 65] Generated Node #2: [96, 5, 65] from Operation: 93-28=65 Current State: 83:[96, 5, 65], Operations: ['93-28=65'] Exploring Operation: 65/5=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 65/5=13 Current State: 83:[96, 13], Operations: ['93-28=65', '65/5=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 4, 83, 9 ]
31
[ "83-80=3", "9*3=27", "4+27=31" ]
Current State: 31:[80, 4, 83, 9], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [4, 9, 3] Generated Node #2: [4, 9, 3] from Operation: 83-80=3 Current State: 31:[4, 9, 3], Operations: ['83-80=3'] Exploring Operation: 9*3=27, Resulting Numbers: [4, 27] Generated Node #3: [4, 27] from Operation: 9*3=27 Current State: 31:[4, 27], Operations: ['83-80=3', '9*3=27'] Exploring Operation: 4+27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 32, 37, 35 ]
13
[ "32-6=26", "37-35=2", "26/2=13" ]
Current State: 13:[6, 32, 37, 35], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [37, 35, 26] Generated Node #2: [37, 35, 26] from Operation: 32-6=26 Current State: 13:[37, 35, 26], Operations: ['32-6=26'] Exploring Operation: 37-35=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 37-35=2 Current State: 13:[26, 2], Operations: ['32-6=26', '37-35=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 22, 17, 3, 37 ]
12
[ "22*3=66", "17+37=54", "66-54=12" ]
Current State: 12:[22, 17, 3, 37], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [17, 37, 66] Generated Node #2: [17, 37, 66] from Operation: 22*3=66 Current State: 12:[17, 37, 66], Operations: ['22*3=66'] Exploring Operation: 17+37=54, Resulting Numbers: [66, 54] Generated Node #3: [66, 54] from Operation: 17+37=54 Current State: 12:[66, 54], Operations: ['22*3=66', '17+37=54'] Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 43, 14, 94, 42 ]
23
[ "43-14=29", "94-42=52", "52-29=23" ]
Current State: 23:[43, 14, 94, 42], Operations: [] Exploring Operation: 43-14=29, Resulting Numbers: [94, 42, 29] Generated Node #2: [94, 42, 29] from Operation: 43-14=29 Current State: 23:[94, 42, 29], Operations: ['43-14=29'] Exploring Operation: 94-42=52, Resulting Numbers: [29, 52] Generated Node #3: [29, 52] from Operation: 94-42=52 Current State: 23:[29, 52], Operations: ['43-14=29', '94-42=52'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 63, 70, 82 ]
64
[ "63-11=52", "82-70=12", "52+12=64" ]
Current State: 64:[11, 63, 70, 82], Operations: [] Exploring Operation: 63-11=52, Resulting Numbers: [70, 82, 52] Generated Node #2: [70, 82, 52] from Operation: 63-11=52 Current State: 64:[70, 82, 52], Operations: ['63-11=52'] Exploring Operation: 82-70=12, Resulting Numbers: [52, 12] Generated Node #3: [52, 12] from Operation: 82-70=12 Current State: 64:[52, 12], Operations: ['63-11=52', '82-70=12'] Exploring Operation: 52+12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 19, 4, 61 ]
12
[ "36*19=684", "61-4=57", "684/57=12" ]
Current State: 12:[36, 19, 4, 61], Operations: [] Exploring Operation: 36*19=684, Resulting Numbers: [4, 61, 684] Generated Node #2: [4, 61, 684] from Operation: 36*19=684 Current State: 12:[4, 61, 684], Operations: ['36*19=684'] Exploring Operation: 61-4=57, Resulting Numbers: [684, 57] Generated Node #3: [684, 57] from Operation: 61-4=57 Current State: 12:[684, 57], Operations: ['36*19=684', '61-4=57'] Exploring Operation: 684/57=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 78, 69, 23, 99 ]
45
[ "69/23=3", "99/3=33", "78-33=45" ]
Current State: 45:[78, 69, 23, 99], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [78, 99, 3] Generated Node #2: [78, 99, 3] from Operation: 69/23=3 Current State: 45:[78, 99, 3], Operations: ['69/23=3'] Exploring Operation: 99/3=33, Resulting Numbers: [78, 33] Generated Node #3: [78, 33] from Operation: 99/3=33 Current State: 45:[78, 33], Operations: ['69/23=3', '99/3=33'] Exploring Operation: 78-33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 96, 33, 68 ]
54
[ "59+96=155", "33+68=101", "155-101=54" ]
Current State: 54:[59, 96, 33, 68], Operations: [] Exploring Operation: 59+96=155, Resulting Numbers: [33, 68, 155] Generated Node #2: [33, 68, 155] from Operation: 59+96=155 Current State: 54:[33, 68, 155], Operations: ['59+96=155'] Exploring Operation: 33+68=101, Resulting Numbers: [155, 101] Generated Node #3: [155, 101] from Operation: 33+68=101 Current State: 54:[155, 101], Operations: ['59+96=155', '33+68=101'] Exploring Operation: 155-101=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 66, 6, 53, 33 ]
92
[ "66+6=72", "53-33=20", "72+20=92" ]
Current State: 92:[66, 6, 53, 33], Operations: [] Exploring Operation: 66+6=72, Resulting Numbers: [53, 33, 72] Generated Node #2: [53, 33, 72] from Operation: 66+6=72 Current State: 92:[53, 33, 72], Operations: ['66+6=72'] Exploring Operation: 53-33=20, Resulting Numbers: [72, 20] Generated Node #3: [72, 20] from Operation: 53-33=20 Current State: 92:[72, 20], Operations: ['66+6=72', '53-33=20'] Exploring Operation: 72+20=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 89, 92, 63, 17 ]
49
[ "92-89=3", "63-17=46", "3+46=49" ]
Current State: 49:[89, 92, 63, 17], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [63, 17, 3] Generated Node #2: [63, 17, 3] from Operation: 92-89=3 Current State: 49:[63, 17, 3], Operations: ['92-89=3'] Exploring Operation: 63-17=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 63-17=46 Current State: 49:[3, 46], Operations: ['92-89=3', '63-17=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 86, 82, 10, 60 ]
98
[ "86+82=168", "10+60=70", "168-70=98" ]
Current State: 98:[86, 82, 10, 60], Operations: [] Exploring Operation: 86+82=168, Resulting Numbers: [10, 60, 168] Generated Node #2: [10, 60, 168] from Operation: 86+82=168 Current State: 98:[10, 60, 168], Operations: ['86+82=168'] Exploring Operation: 10+60=70, Resulting Numbers: [168, 70] Generated Node #3: [168, 70] from Operation: 10+60=70 Current State: 98:[168, 70], Operations: ['86+82=168', '10+60=70'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 8, 99, 37, 75 ]
69
[ "8+99=107", "75-37=38", "107-38=69" ]
Current State: 69:[8, 99, 37, 75], Operations: [] Exploring Operation: 8+99=107, Resulting Numbers: [37, 75, 107] Generated Node #2: [37, 75, 107] from Operation: 8+99=107 Current State: 69:[37, 75, 107], Operations: ['8+99=107'] Exploring Operation: 75-37=38, Resulting Numbers: [107, 38] Generated Node #3: [107, 38] from Operation: 75-37=38 Current State: 69:[107, 38], Operations: ['8+99=107', '75-37=38'] Exploring Operation: 107-38=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 79, 29, 39, 80 ]
69
[ "79-29=50", "39+80=119", "119-50=69" ]
Current State: 69:[79, 29, 39, 80], Operations: [] Exploring Operation: 79-29=50, Resulting Numbers: [39, 80, 50] Generated Node #2: [39, 80, 50] from Operation: 79-29=50 Current State: 69:[39, 80, 50], Operations: ['79-29=50'] Exploring Operation: 39+80=119, Resulting Numbers: [50, 119] Generated Node #3: [50, 119] from Operation: 39+80=119 Current State: 69:[50, 119], Operations: ['79-29=50', '39+80=119'] Exploring Operation: 119-50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 48, 5, 61, 21 ]
93
[ "48+5=53", "61-21=40", "53+40=93" ]
Current State: 93:[48, 5, 61, 21], Operations: [] Exploring Operation: 48+5=53, Resulting Numbers: [61, 21, 53] Generated Node #2: [61, 21, 53] from Operation: 48+5=53 Current State: 93:[61, 21, 53], Operations: ['48+5=53'] Exploring Operation: 61-21=40, Resulting Numbers: [53, 40] Generated Node #3: [53, 40] from Operation: 61-21=40 Current State: 93:[53, 40], Operations: ['48+5=53', '61-21=40'] Exploring Operation: 53+40=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 50, 17, 40, 7 ]
29
[ "50+40=90", "17*7=119", "119-90=29" ]
Current State: 29:[50, 17, 40, 7], Operations: [] Exploring Operation: 50+40=90, Resulting Numbers: [17, 7, 90] Generated Node #2: [17, 7, 90] from Operation: 50+40=90 Current State: 29:[17, 7, 90], Operations: ['50+40=90'] Exploring Operation: 17*7=119, Resulting Numbers: [90, 119] Generated Node #3: [90, 119] from Operation: 17*7=119 Current State: 29:[90, 119], Operations: ['50+40=90', '17*7=119'] Exploring Operation: 119-90=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 81, 20, 20, 90 ]
10
[ "90-81=9", "20/20=1", "9+1=10" ]
Current State: 10:[81, 20, 20, 90], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [20, 20, 9] Generated Node #2: [20, 20, 9] from Operation: 90-81=9 Current State: 10:[20, 20, 9], Operations: ['90-81=9'] Exploring Operation: 20/20=1, Resulting Numbers: [9, 1] Generated Node #3: [9, 1] from Operation: 20/20=1 Current State: 10:[9, 1], Operations: ['90-81=9', '20/20=1'] Exploring Operation: 9+1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 33, 77, 69, 13 ]
100
[ "77-33=44", "69-13=56", "44+56=100" ]
Current State: 100:[33, 77, 69, 13], Operations: [] Exploring Operation: 77-33=44, Resulting Numbers: [69, 13, 44] Generated Node #2: [69, 13, 44] from Operation: 77-33=44 Current State: 100:[69, 13, 44], Operations: ['77-33=44'] Exploring Operation: 69-13=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 69-13=56 Current State: 100:[44, 56], Operations: ['77-33=44', '69-13=56'] Exploring Operation: 44+56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 96, 27, 23, 79 ]
33
[ "96-27=69", "23+79=102", "102-69=33" ]
Current State: 33:[96, 27, 23, 79], Operations: [] Exploring Operation: 96-27=69, Resulting Numbers: [23, 79, 69] Generated Node #2: [23, 79, 69] from Operation: 96-27=69 Current State: 33:[23, 79, 69], Operations: ['96-27=69'] Exploring Operation: 23+79=102, Resulting Numbers: [69, 102] Generated Node #3: [69, 102] from Operation: 23+79=102 Current State: 33:[69, 102], Operations: ['96-27=69', '23+79=102'] Exploring Operation: 102-69=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 49, 3, 24 ]
84
[ "11+3=14", "49*24=1176", "1176/14=84" ]
Current State: 84:[11, 49, 3, 24], Operations: [] Exploring Operation: 11+3=14, Resulting Numbers: [49, 24, 14] Generated Node #2: [49, 24, 14] from Operation: 11+3=14 Current State: 84:[49, 24, 14], Operations: ['11+3=14'] Exploring Operation: 49*24=1176, Resulting Numbers: [14, 1176] Generated Node #3: [14, 1176] from Operation: 49*24=1176 Current State: 84:[14, 1176], Operations: ['11+3=14', '49*24=1176'] Exploring Operation: 1176/14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 86, 98, 98, 9 ]
95
[ "86+98=184", "98-9=89", "184-89=95" ]
Current State: 95:[86, 98, 98, 9], Operations: [] Exploring Operation: 86+98=184, Resulting Numbers: [9, 184] Generated Node #2: [9, 184] from Operation: 86+98=184 Current State: 95:[9, 184], Operations: ['86+98=184'] Exploring Operation: 98-9=89, Resulting Numbers: [184, 89] Generated Node #3: [184, 89] from Operation: 98-9=89 Current State: 95:[184, 89], Operations: ['86+98=184', '98-9=89'] Exploring Operation: 184-89=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 11, 31, 44, 60 ]
46
[ "44/11=4", "60/4=15", "31+15=46" ]
Current State: 46:[11, 31, 44, 60], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [31, 60, 4] Generated Node #2: [31, 60, 4] from Operation: 44/11=4 Current State: 46:[31, 60, 4], Operations: ['44/11=4'] Exploring Operation: 60/4=15, Resulting Numbers: [31, 15] Generated Node #3: [31, 15] from Operation: 60/4=15 Current State: 46:[31, 15], Operations: ['44/11=4', '60/4=15'] Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 23, 19, 93, 7 ]
44
[ "23+19=42", "93-7=86", "86-42=44" ]
Current State: 44:[23, 19, 93, 7], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [93, 7, 42] Generated Node #2: [93, 7, 42] from Operation: 23+19=42 Current State: 44:[93, 7, 42], Operations: ['23+19=42'] Exploring Operation: 93-7=86, Resulting Numbers: [42, 86] Generated Node #3: [42, 86] from Operation: 93-7=86 Current State: 44:[42, 86], Operations: ['23+19=42', '93-7=86'] Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 38, 47, 90, 87 ]
67
[ "90-87=3", "38*3=114", "114-47=67" ]
Current State: 67:[38, 47, 90, 87], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [38, 47, 3] Generated Node #2: [38, 47, 3] from Operation: 90-87=3 Current State: 67:[38, 47, 3], Operations: ['90-87=3'] Exploring Operation: 38*3=114, Resulting Numbers: [47, 114] Generated Node #3: [47, 114] from Operation: 38*3=114 Current State: 67:[47, 114], Operations: ['90-87=3', '38*3=114'] Exploring Operation: 114-47=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 43, 23, 60 ]
76
[ "43-36=7", "23+60=83", "83-7=76" ]
Current State: 76:[36, 43, 23, 60], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [23, 60, 7] Generated Node #2: [23, 60, 7] from Operation: 43-36=7 Current State: 76:[23, 60, 7], Operations: ['43-36=7'] Exploring Operation: 23+60=83, Resulting Numbers: [7, 83] Generated Node #3: [7, 83] from Operation: 23+60=83 Current State: 76:[7, 83], Operations: ['43-36=7', '23+60=83'] Exploring Operation: 83-7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 48, 7, 34 ]
44
[ "48-34=14", "7*14=98", "98-54=44" ]
Current State: 44:[54, 48, 7, 34], Operations: [] Exploring Operation: 48-34=14, Resulting Numbers: [54, 7, 14] Generated Node #2: [54, 7, 14] from Operation: 48-34=14 Current State: 44:[54, 7, 14], Operations: ['48-34=14'] Exploring Operation: 7*14=98, Resulting Numbers: [54, 98] Generated Node #3: [54, 98] from Operation: 7*14=98 Current State: 44:[54, 98], Operations: ['48-34=14', '7*14=98'] Exploring Operation: 98-54=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 15, 51, 19, 56 ]
84
[ "15+19=34", "51*56=2856", "2856/34=84" ]
Current State: 84:[15, 51, 19, 56], Operations: [] Exploring Operation: 15+19=34, Resulting Numbers: [51, 56, 34] Generated Node #2: [51, 56, 34] from Operation: 15+19=34 Current State: 84:[51, 56, 34], Operations: ['15+19=34'] Exploring Operation: 51*56=2856, Resulting Numbers: [34, 2856] Generated Node #3: [34, 2856] from Operation: 51*56=2856 Current State: 84:[34, 2856], Operations: ['15+19=34', '51*56=2856'] Exploring Operation: 2856/34=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 6, 76, 13, 75 ]
73
[ "6*13=78", "76+75=151", "151-78=73" ]
Current State: 73:[6, 76, 13, 75], Operations: [] Exploring Operation: 6*13=78, Resulting Numbers: [76, 75, 78] Generated Node #2: [76, 75, 78] from Operation: 6*13=78 Current State: 73:[76, 75, 78], Operations: ['6*13=78'] Exploring Operation: 76+75=151, Resulting Numbers: [78, 151] Generated Node #3: [78, 151] from Operation: 76+75=151 Current State: 73:[78, 151], Operations: ['6*13=78', '76+75=151'] Exploring Operation: 151-78=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 41, 69, 4 ]
56
[ "58-41=17", "69+4=73", "73-17=56" ]
Current State: 56:[58, 41, 69, 4], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [69, 4, 17] Generated Node #2: [69, 4, 17] from Operation: 58-41=17 Current State: 56:[69, 4, 17], Operations: ['58-41=17'] Exploring Operation: 69+4=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 69+4=73 Current State: 56:[17, 73], Operations: ['58-41=17', '69+4=73'] Exploring Operation: 73-17=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 83, 85, 19, 80 ]
42
[ "85-83=2", "19*2=38", "80-38=42" ]
Current State: 42:[83, 85, 19, 80], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [19, 80, 2] Generated Node #2: [19, 80, 2] from Operation: 85-83=2 Current State: 42:[19, 80, 2], Operations: ['85-83=2'] Exploring Operation: 19*2=38, Resulting Numbers: [80, 38] Generated Node #3: [80, 38] from Operation: 19*2=38 Current State: 42:[80, 38], Operations: ['85-83=2', '19*2=38'] Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 73, 26, 13, 52 ]
69
[ "26-13=13", "52/13=4", "73-4=69" ]
Current State: 69:[73, 26, 13, 52], Operations: [] Exploring Operation: 26-13=13, Resulting Numbers: [73, 52, 13] Generated Node #2: [73, 52, 13] from Operation: 26-13=13 Current State: 69:[73, 52, 13], Operations: ['26-13=13'] Exploring Operation: 52/13=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 52/13=4 Current State: 69:[73, 4], Operations: ['26-13=13', '52/13=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 28, 50, 9, 53 ]
40
[ "50-28=22", "9+53=62", "62-22=40" ]
Current State: 40:[28, 50, 9, 53], Operations: [] Exploring Operation: 50-28=22, Resulting Numbers: [9, 53, 22] Generated Node #2: [9, 53, 22] from Operation: 50-28=22 Current State: 40:[9, 53, 22], Operations: ['50-28=22'] Exploring Operation: 9+53=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 9+53=62 Current State: 40:[22, 62], Operations: ['50-28=22', '9+53=62'] Exploring Operation: 62-22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 3, 2, 90 ]
34
[ "62+2=64", "90/3=30", "64-30=34" ]
Current State: 34:[62, 3, 2, 90], Operations: [] Exploring Operation: 62+2=64, Resulting Numbers: [3, 90, 64] Generated Node #2: [3, 90, 64] from Operation: 62+2=64 Current State: 34:[3, 90, 64], Operations: ['62+2=64'] Exploring Operation: 90/3=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 90/3=30 Current State: 34:[64, 30], Operations: ['62+2=64', '90/3=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 4, 30, 3 ]
19
[ "4*30=120", "120-63=57", "57/3=19" ]
Current State: 19:[63, 4, 30, 3], Operations: [] Exploring Operation: 4*30=120, Resulting Numbers: [63, 3, 120] Generated Node #2: [63, 3, 120] from Operation: 4*30=120 Current State: 19:[63, 3, 120], Operations: ['4*30=120'] Exploring Operation: 120-63=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 120-63=57 Current State: 19:[3, 57], Operations: ['4*30=120', '120-63=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 13, 20, 88, 17 ]
83
[ "17-13=4", "20/4=5", "88-5=83" ]
Current State: 83:[13, 20, 88, 17], Operations: [] Exploring Operation: 17-13=4, Resulting Numbers: [20, 88, 4] Generated Node #2: [20, 88, 4] from Operation: 17-13=4 Current State: 83:[20, 88, 4], Operations: ['17-13=4'] Exploring Operation: 20/4=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 20/4=5 Current State: 83:[88, 5], Operations: ['17-13=4', '20/4=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 58, 22, 91 ]
84
[ "58-22=36", "91*36=3276", "3276/39=84" ]
Current State: 84:[39, 58, 22, 91], Operations: [] Exploring Operation: 58-22=36, Resulting Numbers: [39, 91, 36] Generated Node #2: [39, 91, 36] from Operation: 58-22=36 Current State: 84:[39, 91, 36], Operations: ['58-22=36'] Exploring Operation: 91*36=3276, Resulting Numbers: [39, 3276] Generated Node #3: [39, 3276] from Operation: 91*36=3276 Current State: 84:[39, 3276], Operations: ['58-22=36', '91*36=3276'] Exploring Operation: 3276/39=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 48, 52, 64, 91 ]
64
[ "48+64=112", "52*112=5824", "5824/91=64" ]
Current State: 64:[48, 52, 64, 91], Operations: [] Exploring Operation: 48+64=112, Resulting Numbers: [52, 91, 112] Generated Node #2: [52, 91, 112] from Operation: 48+64=112 Current State: 64:[52, 91, 112], Operations: ['48+64=112'] Exploring Operation: 52*112=5824, Resulting Numbers: [91, 5824] Generated Node #3: [91, 5824] from Operation: 52*112=5824 Current State: 64:[91, 5824], Operations: ['48+64=112', '52*112=5824'] Exploring Operation: 5824/91=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 47, 50, 6 ]
30
[ "47-2=45", "50-45=5", "6*5=30" ]
Current State: 30:[2, 47, 50, 6], Operations: [] Exploring Operation: 47-2=45, Resulting Numbers: [50, 6, 45] Generated Node #2: [50, 6, 45] from Operation: 47-2=45 Current State: 30:[50, 6, 45], Operations: ['47-2=45'] Exploring Operation: 50-45=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 50-45=5 Current State: 30:[6, 5], Operations: ['47-2=45', '50-45=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 93, 22, 6, 98 ]
23
[ "93+22=115", "98-6=92", "115-92=23" ]
Current State: 23:[93, 22, 6, 98], Operations: [] Exploring Operation: 93+22=115, Resulting Numbers: [6, 98, 115] Generated Node #2: [6, 98, 115] from Operation: 93+22=115 Current State: 23:[6, 98, 115], Operations: ['93+22=115'] Exploring Operation: 98-6=92, Resulting Numbers: [115, 92] Generated Node #3: [115, 92] from Operation: 98-6=92 Current State: 23:[115, 92], Operations: ['93+22=115', '98-6=92'] Exploring Operation: 115-92=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 80, 20, 70 ]
89
[ "59+80=139", "70-20=50", "139-50=89" ]
Current State: 89:[59, 80, 20, 70], Operations: [] Exploring Operation: 59+80=139, Resulting Numbers: [20, 70, 139] Generated Node #2: [20, 70, 139] from Operation: 59+80=139 Current State: 89:[20, 70, 139], Operations: ['59+80=139'] Exploring Operation: 70-20=50, Resulting Numbers: [139, 50] Generated Node #3: [139, 50] from Operation: 70-20=50 Current State: 89:[139, 50], Operations: ['59+80=139', '70-20=50'] Exploring Operation: 139-50=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 29, 54, 67, 5 ]
21
[ "29+54=83", "67-5=62", "83-62=21" ]
Current State: 21:[29, 54, 67, 5], Operations: [] Exploring Operation: 29+54=83, Resulting Numbers: [67, 5, 83] Generated Node #2: [67, 5, 83] from Operation: 29+54=83 Current State: 21:[67, 5, 83], Operations: ['29+54=83'] Exploring Operation: 67-5=62, Resulting Numbers: [83, 62] Generated Node #3: [83, 62] from Operation: 67-5=62 Current State: 21:[83, 62], Operations: ['29+54=83', '67-5=62'] Exploring Operation: 83-62=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 94, 56, 56, 46 ]
48
[ "94+56=150", "56+46=102", "150-102=48" ]
Current State: 48:[94, 56, 56, 46], Operations: [] Exploring Operation: 94+56=150, Resulting Numbers: [46, 150] Generated Node #2: [46, 150] from Operation: 94+56=150 Current State: 48:[46, 150], Operations: ['94+56=150'] Exploring Operation: 56+46=102, Resulting Numbers: [150, 102] Generated Node #3: [150, 102] from Operation: 56+46=102 Current State: 48:[150, 102], Operations: ['94+56=150', '56+46=102'] Exploring Operation: 150-102=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 92, 73, 10 ]
100
[ "92-55=37", "73-10=63", "37+63=100" ]
Current State: 100:[55, 92, 73, 10], Operations: [] Exploring Operation: 92-55=37, Resulting Numbers: [73, 10, 37] Generated Node #2: [73, 10, 37] from Operation: 92-55=37 Current State: 100:[73, 10, 37], Operations: ['92-55=37'] Exploring Operation: 73-10=63, Resulting Numbers: [37, 63] Generated Node #3: [37, 63] from Operation: 73-10=63 Current State: 100:[37, 63], Operations: ['92-55=37', '73-10=63'] Exploring Operation: 37+63=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 31, 25, 69 ]
97
[ "22+31=53", "69-25=44", "53+44=97" ]
Current State: 97:[22, 31, 25, 69], Operations: [] Exploring Operation: 22+31=53, Resulting Numbers: [25, 69, 53] Generated Node #2: [25, 69, 53] from Operation: 22+31=53 Current State: 97:[25, 69, 53], Operations: ['22+31=53'] Exploring Operation: 69-25=44, Resulting Numbers: [53, 44] Generated Node #3: [53, 44] from Operation: 69-25=44 Current State: 97:[53, 44], Operations: ['22+31=53', '69-25=44'] Exploring Operation: 53+44=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 50, 19, 34, 38 ]
41
[ "50-19=31", "34+38=72", "72-31=41" ]
Current State: 41:[50, 19, 34, 38], Operations: [] Exploring Operation: 50-19=31, Resulting Numbers: [34, 38, 31] Generated Node #2: [34, 38, 31] from Operation: 50-19=31 Current State: 41:[34, 38, 31], Operations: ['50-19=31'] Exploring Operation: 34+38=72, Resulting Numbers: [31, 72] Generated Node #3: [31, 72] from Operation: 34+38=72 Current State: 41:[31, 72], Operations: ['50-19=31', '34+38=72'] Exploring Operation: 72-31=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 16, 21, 8, 53 ]
12
[ "53-21=32", "32/8=4", "16-4=12" ]
Current State: 12:[16, 21, 8, 53], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [16, 8, 32] Generated Node #2: [16, 8, 32] from Operation: 53-21=32 Current State: 12:[16, 8, 32], Operations: ['53-21=32'] Exploring Operation: 32/8=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 32/8=4 Current State: 12:[16, 4], Operations: ['53-21=32', '32/8=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 30, 61, 3 ]
47
[ "61-18=43", "30*3=90", "90-43=47" ]
Current State: 47:[18, 30, 61, 3], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [30, 3, 43] Generated Node #2: [30, 3, 43] from Operation: 61-18=43 Current State: 47:[30, 3, 43], Operations: ['61-18=43'] Exploring Operation: 30*3=90, Resulting Numbers: [43, 90] Generated Node #3: [43, 90] from Operation: 30*3=90 Current State: 47:[43, 90], Operations: ['61-18=43', '30*3=90'] Exploring Operation: 90-43=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 87, 33, 15 ]
35
[ "87+15=102", "102/51=2", "33+2=35" ]
Current State: 35:[51, 87, 33, 15], Operations: [] Exploring Operation: 87+15=102, Resulting Numbers: [51, 33, 102] Generated Node #2: [51, 33, 102] from Operation: 87+15=102 Current State: 35:[51, 33, 102], Operations: ['87+15=102'] Exploring Operation: 102/51=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 102/51=2 Current State: 35:[33, 2], Operations: ['87+15=102', '102/51=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 68, 95, 54 ]
13
[ "95-68=27", "54/27=2", "15-2=13" ]
Current State: 13:[15, 68, 95, 54], Operations: [] Exploring Operation: 95-68=27, Resulting Numbers: [15, 54, 27] Generated Node #2: [15, 54, 27] from Operation: 95-68=27 Current State: 13:[15, 54, 27], Operations: ['95-68=27'] Exploring Operation: 54/27=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 54/27=2 Current State: 13:[15, 2], Operations: ['95-68=27', '54/27=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 12, 7, 2 ]
53
[ "32+12=44", "7+2=9", "44+9=53" ]
Current State: 53:[32, 12, 7, 2], Operations: [] Exploring Operation: 32+12=44, Resulting Numbers: [7, 2, 44] Generated Node #2: [7, 2, 44] from Operation: 32+12=44 Current State: 53:[7, 2, 44], Operations: ['32+12=44'] Exploring Operation: 7+2=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 7+2=9 Current State: 53:[44, 9], Operations: ['32+12=44', '7+2=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 85, 42, 23, 25 ]
18
[ "42-25=17", "85/17=5", "23-5=18" ]
Current State: 18:[85, 42, 23, 25], Operations: [] Exploring Operation: 42-25=17, Resulting Numbers: [85, 23, 17] Generated Node #2: [85, 23, 17] from Operation: 42-25=17 Current State: 18:[85, 23, 17], Operations: ['42-25=17'] Exploring Operation: 85/17=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 85/17=5 Current State: 18:[23, 5], Operations: ['42-25=17', '85/17=5'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 68, 58, 55, 6 ]
33
[ "68-58=10", "55*6=330", "330/10=33" ]
Current State: 33:[68, 58, 55, 6], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [55, 6, 10] Generated Node #2: [55, 6, 10] from Operation: 68-58=10 Current State: 33:[55, 6, 10], Operations: ['68-58=10'] Exploring Operation: 55*6=330, Resulting Numbers: [10, 330] Generated Node #3: [10, 330] from Operation: 55*6=330 Current State: 33:[10, 330], Operations: ['68-58=10', '55*6=330'] Exploring Operation: 330/10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 32, 6, 50, 62 ]
38
[ "32-6=26", "62-50=12", "26+12=38" ]
Current State: 38:[32, 6, 50, 62], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [50, 62, 26] Generated Node #2: [50, 62, 26] from Operation: 32-6=26 Current State: 38:[50, 62, 26], Operations: ['32-6=26'] Exploring Operation: 62-50=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 62-50=12 Current State: 38:[26, 12], Operations: ['32-6=26', '62-50=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 51, 24, 65 ]
74
[ "51-18=33", "65-24=41", "33+41=74" ]
Current State: 74:[18, 51, 24, 65], Operations: [] Exploring Operation: 51-18=33, Resulting Numbers: [24, 65, 33] Generated Node #2: [24, 65, 33] from Operation: 51-18=33 Current State: 74:[24, 65, 33], Operations: ['51-18=33'] Exploring Operation: 65-24=41, Resulting Numbers: [33, 41] Generated Node #3: [33, 41] from Operation: 65-24=41 Current State: 74:[33, 41], Operations: ['51-18=33', '65-24=41'] Exploring Operation: 33+41=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 17, 79, 54 ]
90
[ "60-17=43", "79+54=133", "133-43=90" ]
Current State: 90:[60, 17, 79, 54], Operations: [] Exploring Operation: 60-17=43, Resulting Numbers: [79, 54, 43] Generated Node #2: [79, 54, 43] from Operation: 60-17=43 Current State: 90:[79, 54, 43], Operations: ['60-17=43'] Exploring Operation: 79+54=133, Resulting Numbers: [43, 133] Generated Node #3: [43, 133] from Operation: 79+54=133 Current State: 90:[43, 133], Operations: ['60-17=43', '79+54=133'] Exploring Operation: 133-43=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 82, 39, 67, 31 ]
55
[ "82-39=43", "67+31=98", "98-43=55" ]
Current State: 55:[82, 39, 67, 31], Operations: [] Exploring Operation: 82-39=43, Resulting Numbers: [67, 31, 43] Generated Node #2: [67, 31, 43] from Operation: 82-39=43 Current State: 55:[67, 31, 43], Operations: ['82-39=43'] Exploring Operation: 67+31=98, Resulting Numbers: [43, 98] Generated Node #3: [43, 98] from Operation: 67+31=98 Current State: 55:[43, 98], Operations: ['82-39=43', '67+31=98'] Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 67, 2, 53 ]
64
[ "67-54=13", "53-2=51", "13+51=64" ]
Current State: 64:[54, 67, 2, 53], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [2, 53, 13] Generated Node #2: [2, 53, 13] from Operation: 67-54=13 Current State: 64:[2, 53, 13], Operations: ['67-54=13'] Exploring Operation: 53-2=51, Resulting Numbers: [13, 51] Generated Node #3: [13, 51] from Operation: 53-2=51 Current State: 64:[13, 51], Operations: ['67-54=13', '53-2=51'] Exploring Operation: 13+51=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 94, 39, 39 ]
88
[ "94-6=88", "39-39=0", "88+0=88" ]
Current State: 88:[6, 94, 39, 39], Operations: [] Exploring Operation: 94-6=88, Resulting Numbers: [39, 39, 88] Generated Node #2: [39, 39, 88] from Operation: 94-6=88 Current State: 88:[39, 39, 88], Operations: ['94-6=88'] Exploring Operation: 39-39=0, Resulting Numbers: [88, 0] Generated Node #3: [88, 0] from Operation: 39-39=0 Current State: 88:[88, 0], Operations: ['94-6=88', '39-39=0'] Exploring Operation: 88+0=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 77, 67, 16, 33 ]
95
[ "77+67=144", "16+33=49", "144-49=95" ]
Current State: 95:[77, 67, 16, 33], Operations: [] Exploring Operation: 77+67=144, Resulting Numbers: [16, 33, 144] Generated Node #2: [16, 33, 144] from Operation: 77+67=144 Current State: 95:[16, 33, 144], Operations: ['77+67=144'] Exploring Operation: 16+33=49, Resulting Numbers: [144, 49] Generated Node #3: [144, 49] from Operation: 16+33=49 Current State: 95:[144, 49], Operations: ['77+67=144', '16+33=49'] Exploring Operation: 144-49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 28, 30, 54 ]
24
[ "28-19=9", "54/9=6", "30-6=24" ]
Current State: 24:[19, 28, 30, 54], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [30, 54, 9] Generated Node #2: [30, 54, 9] from Operation: 28-19=9 Current State: 24:[30, 54, 9], Operations: ['28-19=9'] Exploring Operation: 54/9=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 54/9=6 Current State: 24:[30, 6], Operations: ['28-19=9', '54/9=6'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 10, 89, 43 ]
86
[ "43-13=30", "30/10=3", "89-3=86" ]
Current State: 86:[13, 10, 89, 43], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [10, 89, 30] Generated Node #2: [10, 89, 30] from Operation: 43-13=30 Current State: 86:[10, 89, 30], Operations: ['43-13=30'] Exploring Operation: 30/10=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 30/10=3 Current State: 86:[89, 3], Operations: ['43-13=30', '30/10=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 31, 25, 58 ]
52
[ "62-31=31", "25+58=83", "83-31=52" ]
Current State: 52:[62, 31, 25, 58], Operations: [] Exploring Operation: 62-31=31, Resulting Numbers: [25, 58, 31] Generated Node #2: [25, 58, 31] from Operation: 62-31=31 Current State: 52:[25, 58, 31], Operations: ['62-31=31'] Exploring Operation: 25+58=83, Resulting Numbers: [31, 83] Generated Node #3: [31, 83] from Operation: 25+58=83 Current State: 52:[31, 83], Operations: ['62-31=31', '25+58=83'] Exploring Operation: 83-31=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 31, 67, 22 ]
63
[ "31-5=26", "67+22=89", "89-26=63" ]
Current State: 63:[5, 31, 67, 22], Operations: [] Exploring Operation: 31-5=26, Resulting Numbers: [67, 22, 26] Generated Node #2: [67, 22, 26] from Operation: 31-5=26 Current State: 63:[67, 22, 26], Operations: ['31-5=26'] Exploring Operation: 67+22=89, Resulting Numbers: [26, 89] Generated Node #3: [26, 89] from Operation: 67+22=89 Current State: 63:[26, 89], Operations: ['31-5=26', '67+22=89'] Exploring Operation: 89-26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 45, 30, 39, 38 ]
76
[ "45+30=75", "39-38=1", "75+1=76" ]
Current State: 76:[45, 30, 39, 38], Operations: [] Exploring Operation: 45+30=75, Resulting Numbers: [39, 38, 75] Generated Node #2: [39, 38, 75] from Operation: 45+30=75 Current State: 76:[39, 38, 75], Operations: ['45+30=75'] Exploring Operation: 39-38=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 39-38=1 Current State: 76:[75, 1], Operations: ['45+30=75', '39-38=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 73, 85, 41, 2 ]
55
[ "85-73=12", "41+2=43", "12+43=55" ]
Current State: 55:[73, 85, 41, 2], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [41, 2, 12] Generated Node #2: [41, 2, 12] from Operation: 85-73=12 Current State: 55:[41, 2, 12], Operations: ['85-73=12'] Exploring Operation: 41+2=43, Resulting Numbers: [12, 43] Generated Node #3: [12, 43] from Operation: 41+2=43 Current State: 55:[12, 43], Operations: ['85-73=12', '41+2=43'] Exploring Operation: 12+43=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 18, 18, 66, 65 ]
66
[ "18-18=0", "65*0=0", "66+0=66" ]
Current State: 66:[18, 18, 66, 65], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [66, 65, 0] Generated Node #2: [66, 65, 0] from Operation: 18-18=0 Current State: 66:[66, 65, 0], Operations: ['18-18=0'] Exploring Operation: 65*0=0, Resulting Numbers: [66, 0] Generated Node #3: [66, 0] from Operation: 65*0=0 Current State: 66:[66, 0], Operations: ['18-18=0', '65*0=0'] Exploring Operation: 66+0=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 5, 35, 11 ]
27
[ "29+11=40", "40/5=8", "35-8=27" ]
Current State: 27:[29, 5, 35, 11], Operations: [] Exploring Operation: 29+11=40, Resulting Numbers: [5, 35, 40] Generated Node #2: [5, 35, 40] from Operation: 29+11=40 Current State: 27:[5, 35, 40], Operations: ['29+11=40'] Exploring Operation: 40/5=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 40/5=8 Current State: 27:[35, 8], Operations: ['29+11=40', '40/5=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 62, 9, 17, 16 ]
38
[ "62+9=71", "17+16=33", "71-33=38" ]
Current State: 38:[62, 9, 17, 16], Operations: [] Exploring Operation: 62+9=71, Resulting Numbers: [17, 16, 71] Generated Node #2: [17, 16, 71] from Operation: 62+9=71 Current State: 38:[17, 16, 71], Operations: ['62+9=71'] Exploring Operation: 17+16=33, Resulting Numbers: [71, 33] Generated Node #3: [71, 33] from Operation: 17+16=33 Current State: 38:[71, 33], Operations: ['62+9=71', '17+16=33'] Exploring Operation: 71-33=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 30, 18, 87 ]
35
[ "18+87=105", "105/21=5", "30+5=35" ]
Current State: 35:[21, 30, 18, 87], Operations: [] Exploring Operation: 18+87=105, Resulting Numbers: [21, 30, 105] Generated Node #2: [21, 30, 105] from Operation: 18+87=105 Current State: 35:[21, 30, 105], Operations: ['18+87=105'] Exploring Operation: 105/21=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 105/21=5 Current State: 35:[30, 5], Operations: ['18+87=105', '105/21=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 45, 86, 69, 36 ]
64
[ "86-45=41", "69+36=105", "105-41=64" ]
Current State: 64:[45, 86, 69, 36], Operations: [] Exploring Operation: 86-45=41, Resulting Numbers: [69, 36, 41] Generated Node #2: [69, 36, 41] from Operation: 86-45=41 Current State: 64:[69, 36, 41], Operations: ['86-45=41'] Exploring Operation: 69+36=105, Resulting Numbers: [41, 105] Generated Node #3: [41, 105] from Operation: 69+36=105 Current State: 64:[41, 105], Operations: ['86-45=41', '69+36=105'] Exploring Operation: 105-41=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 23, 97, 8 ]
96
[ "3*8=24", "23+97=120", "120-24=96" ]
Current State: 96:[3, 23, 97, 8], Operations: [] Exploring Operation: 3*8=24, Resulting Numbers: [23, 97, 24] Generated Node #2: [23, 97, 24] from Operation: 3*8=24 Current State: 96:[23, 97, 24], Operations: ['3*8=24'] Exploring Operation: 23+97=120, Resulting Numbers: [24, 120] Generated Node #3: [24, 120] from Operation: 23+97=120 Current State: 96:[24, 120], Operations: ['3*8=24', '23+97=120'] Exploring Operation: 120-24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 76, 26, 64, 10 ]
13
[ "76-64=12", "12-10=2", "26/2=13" ]
Current State: 13:[76, 26, 64, 10], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [26, 10, 12] Generated Node #2: [26, 10, 12] from Operation: 76-64=12 Current State: 13:[26, 10, 12], Operations: ['76-64=12'] Exploring Operation: 12-10=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 12-10=2 Current State: 13:[26, 2], Operations: ['76-64=12', '12-10=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 65, 71, 79, 87 ]
14
[ "71-65=6", "87-79=8", "6+8=14" ]
Current State: 14:[65, 71, 79, 87], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [79, 87, 6] Generated Node #2: [79, 87, 6] from Operation: 71-65=6 Current State: 14:[79, 87, 6], Operations: ['71-65=6'] Exploring Operation: 87-79=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 87-79=8 Current State: 14:[6, 8], Operations: ['71-65=6', '87-79=8'] Exploring Operation: 6+8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4