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
[ 74, 80, 4, 58 ]
16
[ "80-74=6", "58+6=64", "64/4=16" ]
Current State: 16:[74, 80, 4, 58], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [4, 58, 6] Generated Node #2: [4, 58, 6] from Operation: 80-74=6 Current State: 16:[4, 58, 6], Operations: ['80-74=6'] Exploring Operation: 58+6=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 58+6=64 Current State: 16:[4, 64], Operations: ['80-74=6', '58+6=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 94, 99, 8, 11 ]
48
[ "99-94=5", "11-5=6", "8*6=48" ]
Current State: 48:[94, 99, 8, 11], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [8, 11, 5] Generated Node #2: [8, 11, 5] from Operation: 99-94=5 Current State: 48:[8, 11, 5], Operations: ['99-94=5'] Exploring Operation: 11-5=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 11-5=6 Current State: 48:[8, 6], Operations: ['99-94=5', '11-5=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 16, 94, 38, 46 ]
92
[ "46-38=8", "16/8=2", "94-2=92" ]
Current State: 92:[16, 94, 38, 46], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [16, 94, 8] Generated Node #2: [16, 94, 8] from Operation: 46-38=8 Current State: 92:[16, 94, 8], Operations: ['46-38=8'] Exploring Operation: 16/8=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 16/8=2 Current State: 92:[94, 2], Operations: ['46-38=8', '16/8=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 50, 5, 20, 19 ]
44
[ "50-5=45", "20-19=1", "45-1=44" ]
Current State: 44:[50, 5, 20, 19], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [20, 19, 45] Generated Node #2: [20, 19, 45] from Operation: 50-5=45 Current State: 44:[20, 19, 45], Operations: ['50-5=45'] Exploring Operation: 20-19=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 20-19=1 Current State: 44:[45, 1], Operations: ['50-5=45', '20-19=1'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 19, 99, 18 ]
61
[ "1+19=20", "99-18=81", "81-20=61" ]
Current State: 61:[1, 19, 99, 18], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [99, 18, 20] Generated Node #2: [99, 18, 20] from Operation: 1+19=20 Current State: 61:[99, 18, 20], Operations: ['1+19=20'] Exploring Operation: 99-18=81, Resulting Numbers: [20, 81] Generated Node #3: [20, 81] from Operation: 99-18=81 Current State: 61:[20, 81], Operations: ['1+19=20', '99-18=81'] Exploring Operation: 81-20=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 96, 27, 28, 1 ]
42
[ "96-27=69", "28-1=27", "69-27=42" ]
Current State: 42:[96, 27, 28, 1], Operations: [] Exploring Operation: 96-27=69, Resulting Numbers: [28, 1, 69] Generated Node #2: [28, 1, 69] from Operation: 96-27=69 Current State: 42:[28, 1, 69], Operations: ['96-27=69'] Exploring Operation: 28-1=27, Resulting Numbers: [69, 27] Generated Node #3: [69, 27] from Operation: 28-1=27 Current State: 42:[69, 27], Operations: ['96-27=69', '28-1=27'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 14, 45, 29, 64 ]
67
[ "29-14=15", "45/15=3", "64+3=67" ]
Current State: 67:[14, 45, 29, 64], Operations: [] Exploring Operation: 29-14=15, Resulting Numbers: [45, 64, 15] Generated Node #2: [45, 64, 15] from Operation: 29-14=15 Current State: 67:[45, 64, 15], Operations: ['29-14=15'] Exploring Operation: 45/15=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 45/15=3 Current State: 67:[64, 3], Operations: ['29-14=15', '45/15=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 58, 52, 72, 83 ]
66
[ "58-52=6", "83-72=11", "6*11=66" ]
Current State: 66:[58, 52, 72, 83], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [72, 83, 6] Generated Node #2: [72, 83, 6] from Operation: 58-52=6 Current State: 66:[72, 83, 6], Operations: ['58-52=6'] Exploring Operation: 83-72=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 83-72=11 Current State: 66:[6, 11], Operations: ['58-52=6', '83-72=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 58, 81, 57 ]
86
[ "58-6=52", "81+57=138", "138-52=86" ]
Current State: 86:[6, 58, 81, 57], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [81, 57, 52] Generated Node #2: [81, 57, 52] from Operation: 58-6=52 Current State: 86:[81, 57, 52], Operations: ['58-6=52'] Exploring Operation: 81+57=138, Resulting Numbers: [52, 138] Generated Node #3: [52, 138] from Operation: 81+57=138 Current State: 86:[52, 138], Operations: ['58-6=52', '81+57=138'] Exploring Operation: 138-52=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 81, 87, 83, 30 ]
59
[ "87-81=6", "83-30=53", "6+53=59" ]
Current State: 59:[81, 87, 83, 30], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [83, 30, 6] Generated Node #2: [83, 30, 6] from Operation: 87-81=6 Current State: 59:[83, 30, 6], Operations: ['87-81=6'] Exploring Operation: 83-30=53, Resulting Numbers: [6, 53] Generated Node #3: [6, 53] from Operation: 83-30=53 Current State: 59:[6, 53], Operations: ['87-81=6', '83-30=53'] Exploring Operation: 6+53=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 5, 70, 86 ]
75
[ "86-70=16", "5*16=80", "80-5=75" ]
Current State: 75:[5, 5, 70, 86], Operations: [] Exploring Operation: 86-70=16, Resulting Numbers: [5, 5, 16] Generated Node #2: [5, 5, 16] from Operation: 86-70=16 Current State: 75:[5, 5, 16], Operations: ['86-70=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,75 equal: Goal Reached Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 32, 31, 70 ]
76
[ "6+70=76", "32-31=1", "76*1=76" ]
Current State: 76:[6, 32, 31, 70], Operations: [] Exploring Operation: 6+70=76, Resulting Numbers: [32, 31, 76] Generated Node #2: [32, 31, 76] from Operation: 6+70=76 Current State: 76:[32, 31, 76], Operations: ['6+70=76'] Exploring Operation: 32-31=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 32-31=1 Current State: 76:[76, 1], Operations: ['6+70=76', '32-31=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 70, 86, 1 ]
23
[ "86-83=3", "70-1=69", "69/3=23" ]
Current State: 23:[83, 70, 86, 1], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [70, 1, 3] Generated Node #2: [70, 1, 3] from Operation: 86-83=3 Current State: 23:[70, 1, 3], Operations: ['86-83=3'] Exploring Operation: 70-1=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 70-1=69 Current State: 23:[3, 69], Operations: ['86-83=3', '70-1=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 42, 81, 43 ]
84
[ "81+43=124", "124/62=2", "42*2=84" ]
Current State: 84:[62, 42, 81, 43], Operations: [] Exploring Operation: 81+43=124, Resulting Numbers: [62, 42, 124] Generated Node #2: [62, 42, 124] from Operation: 81+43=124 Current State: 84:[62, 42, 124], Operations: ['81+43=124'] Exploring Operation: 124/62=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 124/62=2 Current State: 84:[42, 2], Operations: ['81+43=124', '124/62=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 77, 36, 58, 4 ]
40
[ "77-58=19", "4*19=76", "76-36=40" ]
Current State: 40:[77, 36, 58, 4], Operations: [] Exploring Operation: 77-58=19, Resulting Numbers: [36, 4, 19] Generated Node #2: [36, 4, 19] from Operation: 77-58=19 Current State: 40:[36, 4, 19], Operations: ['77-58=19'] Exploring Operation: 4*19=76, Resulting Numbers: [36, 76] Generated Node #3: [36, 76] from Operation: 4*19=76 Current State: 40:[36, 76], Operations: ['77-58=19', '4*19=76'] Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 79, 51, 16, 89 ]
45
[ "79-51=28", "89-16=73", "73-28=45" ]
Current State: 45:[79, 51, 16, 89], Operations: [] Exploring Operation: 79-51=28, Resulting Numbers: [16, 89, 28] Generated Node #2: [16, 89, 28] from Operation: 79-51=28 Current State: 45:[16, 89, 28], Operations: ['79-51=28'] Exploring Operation: 89-16=73, Resulting Numbers: [28, 73] Generated Node #3: [28, 73] from Operation: 89-16=73 Current State: 45:[28, 73], Operations: ['79-51=28', '89-16=73'] Exploring Operation: 73-28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 21, 39, 81, 8 ]
78
[ "21-8=13", "39/13=3", "81-3=78" ]
Current State: 78:[21, 39, 81, 8], Operations: [] Exploring Operation: 21-8=13, Resulting Numbers: [39, 81, 13] Generated Node #2: [39, 81, 13] from Operation: 21-8=13 Current State: 78:[39, 81, 13], Operations: ['21-8=13'] Exploring Operation: 39/13=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 39/13=3 Current State: 78:[81, 3], Operations: ['21-8=13', '39/13=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 27, 44, 45 ]
61
[ "29*44=1276", "27*45=1215", "1276-1215=61" ]
Current State: 61:[29, 27, 44, 45], Operations: [] Exploring Operation: 29*44=1276, Resulting Numbers: [27, 45, 1276] Generated Node #2: [27, 45, 1276] from Operation: 29*44=1276 Current State: 61:[27, 45, 1276], Operations: ['29*44=1276'] Exploring Operation: 27*45=1215, Resulting Numbers: [1276, 1215] Generated Node #3: [1276, 1215] from Operation: 27*45=1215 Current State: 61:[1276, 1215], Operations: ['29*44=1276', '27*45=1215'] Exploring Operation: 1276-1215=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 55, 42, 57, 97 ]
76
[ "57-55=2", "42/2=21", "97-21=76" ]
Current State: 76:[55, 42, 57, 97], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [42, 97, 2] Generated Node #2: [42, 97, 2] from Operation: 57-55=2 Current State: 76:[42, 97, 2], Operations: ['57-55=2'] Exploring Operation: 42/2=21, Resulting Numbers: [97, 21] Generated Node #3: [97, 21] from Operation: 42/2=21 Current State: 76:[97, 21], Operations: ['57-55=2', '42/2=21'] Exploring Operation: 97-21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 11, 8, 75, 81 ]
56
[ "11-8=3", "75/3=25", "81-25=56" ]
Current State: 56:[11, 8, 75, 81], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [75, 81, 3] Generated Node #2: [75, 81, 3] from Operation: 11-8=3 Current State: 56:[75, 81, 3], Operations: ['11-8=3'] Exploring Operation: 75/3=25, Resulting Numbers: [81, 25] Generated Node #3: [81, 25] from Operation: 75/3=25 Current State: 56:[81, 25], Operations: ['11-8=3', '75/3=25'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 78, 14, 38, 46 ]
72
[ "78-14=64", "46-38=8", "64+8=72" ]
Current State: 72:[78, 14, 38, 46], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [38, 46, 64] Generated Node #2: [38, 46, 64] from Operation: 78-14=64 Current State: 72:[38, 46, 64], Operations: ['78-14=64'] Exploring Operation: 46-38=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 46-38=8 Current State: 72:[64, 8], Operations: ['78-14=64', '46-38=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 13, 46, 64, 41 ]
46
[ "13+46=59", "64+41=105", "105-59=46" ]
Current State: 46:[13, 46, 64, 41], Operations: [] Exploring Operation: 13+46=59, Resulting Numbers: [64, 41, 59] Generated Node #2: [64, 41, 59] from Operation: 13+46=59 Current State: 46:[64, 41, 59], Operations: ['13+46=59'] Exploring Operation: 64+41=105, Resulting Numbers: [59, 105] Generated Node #3: [59, 105] from Operation: 64+41=105 Current State: 46:[59, 105], Operations: ['13+46=59', '64+41=105'] Exploring Operation: 105-59=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 40, 52, 40 ]
52
[ "40-40=0", "51*0=0", "52+0=52" ]
Current State: 52:[51, 40, 52, 40], Operations: [] Exploring Operation: 40-40=0, Resulting Numbers: [51, 52, 0] Generated Node #2: [51, 52, 0] from Operation: 40-40=0 Current State: 52:[51, 52, 0], Operations: ['40-40=0'] Exploring Operation: 51*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 51*0=0 Current State: 52:[52, 0], Operations: ['40-40=0', '51*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 99, 80, 25, 14 ]
71
[ "25-14=11", "99/11=9", "80-9=71" ]
Current State: 71:[99, 80, 25, 14], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [99, 80, 11] Generated Node #2: [99, 80, 11] from Operation: 25-14=11 Current State: 71:[99, 80, 11], Operations: ['25-14=11'] Exploring Operation: 99/11=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 99/11=9 Current State: 71:[80, 9], Operations: ['25-14=11', '99/11=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 36, 36, 42 ]
86
[ "56+36=92", "42-36=6", "92-6=86" ]
Current State: 86:[56, 36, 36, 42], Operations: [] Exploring Operation: 56+36=92, Resulting Numbers: [42, 92] Generated Node #2: [42, 92] from Operation: 56+36=92 Current State: 86:[42, 92], Operations: ['56+36=92'] Exploring Operation: 42-36=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 42-36=6 Current State: 86:[92, 6], Operations: ['56+36=92', '42-36=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 51, 17, 99 ]
18
[ "99-45=54", "51/17=3", "54/3=18" ]
Current State: 18:[45, 51, 17, 99], Operations: [] Exploring Operation: 99-45=54, Resulting Numbers: [51, 17, 54] Generated Node #2: [51, 17, 54] from Operation: 99-45=54 Current State: 18:[51, 17, 54], Operations: ['99-45=54'] Exploring Operation: 51/17=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 51/17=3 Current State: 18:[54, 3], Operations: ['99-45=54', '51/17=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 79, 44, 98, 8 ]
33
[ "79+44=123", "98-8=90", "123-90=33" ]
Current State: 33:[79, 44, 98, 8], Operations: [] Exploring Operation: 79+44=123, Resulting Numbers: [98, 8, 123] Generated Node #2: [98, 8, 123] from Operation: 79+44=123 Current State: 33:[98, 8, 123], Operations: ['79+44=123'] Exploring Operation: 98-8=90, Resulting Numbers: [123, 90] Generated Node #3: [123, 90] from Operation: 98-8=90 Current State: 33:[123, 90], Operations: ['79+44=123', '98-8=90'] Exploring Operation: 123-90=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 36, 27, 20 ]
30
[ "36+27=63", "20*63=1260", "1260/42=30" ]
Current State: 30:[42, 36, 27, 20], Operations: [] Exploring Operation: 36+27=63, Resulting Numbers: [42, 20, 63] Generated Node #2: [42, 20, 63] from Operation: 36+27=63 Current State: 30:[42, 20, 63], Operations: ['36+27=63'] Exploring Operation: 20*63=1260, Resulting Numbers: [42, 1260] Generated Node #3: [42, 1260] from Operation: 20*63=1260 Current State: 30:[42, 1260], Operations: ['36+27=63', '20*63=1260'] Exploring Operation: 1260/42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 57, 14, 97 ]
48
[ "6+57=63", "14+97=111", "111-63=48" ]
Current State: 48:[6, 57, 14, 97], Operations: [] Exploring Operation: 6+57=63, Resulting Numbers: [14, 97, 63] Generated Node #2: [14, 97, 63] from Operation: 6+57=63 Current State: 48:[14, 97, 63], Operations: ['6+57=63'] Exploring Operation: 14+97=111, Resulting Numbers: [63, 111] Generated Node #3: [63, 111] from Operation: 14+97=111 Current State: 48:[63, 111], Operations: ['6+57=63', '14+97=111'] Exploring Operation: 111-63=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 60, 31, 61 ]
19
[ "61-31=30", "60/30=2", "17+2=19" ]
Current State: 19:[17, 60, 31, 61], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [17, 60, 30] Generated Node #2: [17, 60, 30] from Operation: 61-31=30 Current State: 19:[17, 60, 30], Operations: ['61-31=30'] Exploring Operation: 60/30=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 60/30=2 Current State: 19:[17, 2], Operations: ['61-31=30', '60/30=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 71, 5, 61, 33 ]
48
[ "71+5=76", "61-33=28", "76-28=48" ]
Current State: 48:[71, 5, 61, 33], Operations: [] Exploring Operation: 71+5=76, Resulting Numbers: [61, 33, 76] Generated Node #2: [61, 33, 76] from Operation: 71+5=76 Current State: 48:[61, 33, 76], Operations: ['71+5=76'] Exploring Operation: 61-33=28, Resulting Numbers: [76, 28] Generated Node #3: [76, 28] from Operation: 61-33=28 Current State: 48:[76, 28], Operations: ['71+5=76', '61-33=28'] Exploring Operation: 76-28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 82, 36, 21 ]
84
[ "21-3=18", "36/18=2", "82+2=84" ]
Current State: 84:[3, 82, 36, 21], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [82, 36, 18] Generated Node #2: [82, 36, 18] from Operation: 21-3=18 Current State: 84:[82, 36, 18], Operations: ['21-3=18'] Exploring Operation: 36/18=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 36/18=2 Current State: 84:[82, 2], Operations: ['21-3=18', '36/18=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 25, 23, 6 ]
20
[ "3*6=18", "25-23=2", "18+2=20" ]
Current State: 20:[3, 25, 23, 6], Operations: [] Exploring Operation: 3*6=18, Resulting Numbers: [25, 23, 18] Generated Node #2: [25, 23, 18] from Operation: 3*6=18 Current State: 20:[25, 23, 18], Operations: ['3*6=18'] Exploring Operation: 25-23=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 25-23=2 Current State: 20:[18, 2], Operations: ['3*6=18', '25-23=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 15, 58, 81 ]
45
[ "26+58=84", "84-81=3", "15*3=45" ]
Current State: 45:[26, 15, 58, 81], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [15, 81, 84] Generated Node #2: [15, 81, 84] from Operation: 26+58=84 Current State: 45:[15, 81, 84], Operations: ['26+58=84'] Exploring Operation: 84-81=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 84-81=3 Current State: 45:[15, 3], Operations: ['26+58=84', '84-81=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 64, 31, 71, 38 ]
76
[ "64-31=33", "71+38=109", "109-33=76" ]
Current State: 76:[64, 31, 71, 38], Operations: [] Exploring Operation: 64-31=33, Resulting Numbers: [71, 38, 33] Generated Node #2: [71, 38, 33] from Operation: 64-31=33 Current State: 76:[71, 38, 33], Operations: ['64-31=33'] Exploring Operation: 71+38=109, Resulting Numbers: [33, 109] Generated Node #3: [33, 109] from Operation: 71+38=109 Current State: 76:[33, 109], Operations: ['64-31=33', '71+38=109'] Exploring Operation: 109-33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 10, 11, 13 ]
32
[ "54+10=64", "13-11=2", "64/2=32" ]
Current State: 32:[54, 10, 11, 13], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [11, 13, 64] Generated Node #2: [11, 13, 64] from Operation: 54+10=64 Current State: 32:[11, 13, 64], Operations: ['54+10=64'] Exploring Operation: 13-11=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 13-11=2 Current State: 32:[64, 2], Operations: ['54+10=64', '13-11=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 70, 53, 74, 3 ]
94
[ "70-53=17", "74+3=77", "17+77=94" ]
Current State: 94:[70, 53, 74, 3], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [74, 3, 17] Generated Node #2: [74, 3, 17] from Operation: 70-53=17 Current State: 94:[74, 3, 17], Operations: ['70-53=17'] Exploring Operation: 74+3=77, Resulting Numbers: [17, 77] Generated Node #3: [17, 77] from Operation: 74+3=77 Current State: 94:[17, 77], Operations: ['70-53=17', '74+3=77'] Exploring Operation: 17+77=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 59, 63, 55, 29 ]
31
[ "63+55=118", "118/59=2", "29+2=31" ]
Current State: 31:[59, 63, 55, 29], Operations: [] Exploring Operation: 63+55=118, Resulting Numbers: [59, 29, 118] Generated Node #2: [59, 29, 118] from Operation: 63+55=118 Current State: 31:[59, 29, 118], Operations: ['63+55=118'] Exploring Operation: 118/59=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 118/59=2 Current State: 31:[29, 2], Operations: ['63+55=118', '118/59=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 65, 99, 87, 2 ]
79
[ "65+99=164", "87-2=85", "164-85=79" ]
Current State: 79:[65, 99, 87, 2], Operations: [] Exploring Operation: 65+99=164, Resulting Numbers: [87, 2, 164] Generated Node #2: [87, 2, 164] from Operation: 65+99=164 Current State: 79:[87, 2, 164], Operations: ['65+99=164'] Exploring Operation: 87-2=85, Resulting Numbers: [164, 85] Generated Node #3: [164, 85] from Operation: 87-2=85 Current State: 79:[164, 85], Operations: ['65+99=164', '87-2=85'] Exploring Operation: 164-85=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 97, 44, 29, 34 ]
78
[ "97+44=141", "29+34=63", "141-63=78" ]
Current State: 78:[97, 44, 29, 34], Operations: [] Exploring Operation: 97+44=141, Resulting Numbers: [29, 34, 141] Generated Node #2: [29, 34, 141] from Operation: 97+44=141 Current State: 78:[29, 34, 141], Operations: ['97+44=141'] Exploring Operation: 29+34=63, Resulting Numbers: [141, 63] Generated Node #3: [141, 63] from Operation: 29+34=63 Current State: 78:[141, 63], Operations: ['97+44=141', '29+34=63'] Exploring Operation: 141-63=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 76, 39, 38 ]
77
[ "3*38=114", "76-39=37", "114-37=77" ]
Current State: 77:[3, 76, 39, 38], Operations: [] Exploring Operation: 3*38=114, Resulting Numbers: [76, 39, 114] Generated Node #2: [76, 39, 114] from Operation: 3*38=114 Current State: 77:[76, 39, 114], Operations: ['3*38=114'] Exploring Operation: 76-39=37, Resulting Numbers: [114, 37] Generated Node #3: [114, 37] from Operation: 76-39=37 Current State: 77:[114, 37], Operations: ['3*38=114', '76-39=37'] Exploring Operation: 114-37=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 26, 13, 72, 39 ]
71
[ "26+13=39", "39/39=1", "72-1=71" ]
Current State: 71:[26, 13, 72, 39], Operations: [] Exploring Operation: 26+13=39, Resulting Numbers: [72, 39, 39] Generated Node #2: [72, 39, 39] from Operation: 26+13=39 Current State: 71:[72, 39, 39], Operations: ['26+13=39'] Exploring Operation: 39/39=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 39/39=1 Current State: 71:[72, 1], Operations: ['26+13=39', '39/39=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 64, 50, 87, 12 ]
81
[ "64-50=14", "12*14=168", "168-87=81" ]
Current State: 81:[64, 50, 87, 12], Operations: [] Exploring Operation: 64-50=14, Resulting Numbers: [87, 12, 14] Generated Node #2: [87, 12, 14] from Operation: 64-50=14 Current State: 81:[87, 12, 14], Operations: ['64-50=14'] Exploring Operation: 12*14=168, Resulting Numbers: [87, 168] Generated Node #3: [87, 168] from Operation: 12*14=168 Current State: 81:[87, 168], Operations: ['64-50=14', '12*14=168'] Exploring Operation: 168-87=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 63, 56, 69 ]
89
[ "99-63=36", "56+69=125", "125-36=89" ]
Current State: 89:[99, 63, 56, 69], Operations: [] Exploring Operation: 99-63=36, Resulting Numbers: [56, 69, 36] Generated Node #2: [56, 69, 36] from Operation: 99-63=36 Current State: 89:[56, 69, 36], Operations: ['99-63=36'] Exploring Operation: 56+69=125, Resulting Numbers: [36, 125] Generated Node #3: [36, 125] from Operation: 56+69=125 Current State: 89:[36, 125], Operations: ['99-63=36', '56+69=125'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 21, 38, 42 ]
19
[ "1*21=21", "38*21=798", "798/42=19" ]
Current State: 19:[1, 21, 38, 42], Operations: [] Exploring Operation: 1*21=21, Resulting Numbers: [38, 42, 21] Generated Node #2: [38, 42, 21] from Operation: 1*21=21 Current State: 19:[38, 42, 21], Operations: ['1*21=21'] Exploring Operation: 38*21=798, Resulting Numbers: [42, 798] Generated Node #3: [42, 798] from Operation: 38*21=798 Current State: 19:[42, 798], Operations: ['1*21=21', '38*21=798'] Exploring Operation: 798/42=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 68, 29, 57 ]
22
[ "68+29=97", "57+97=154", "154/7=22" ]
Current State: 22:[7, 68, 29, 57], Operations: [] Exploring Operation: 68+29=97, Resulting Numbers: [7, 57, 97] Generated Node #2: [7, 57, 97] from Operation: 68+29=97 Current State: 22:[7, 57, 97], Operations: ['68+29=97'] Exploring Operation: 57+97=154, Resulting Numbers: [7, 154] Generated Node #3: [7, 154] from Operation: 57+97=154 Current State: 22:[7, 154], Operations: ['68+29=97', '57+97=154'] Exploring Operation: 154/7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 63, 12, 72, 7 ]
14
[ "63-12=51", "72-7=65", "65-51=14" ]
Current State: 14:[63, 12, 72, 7], Operations: [] Exploring Operation: 63-12=51, Resulting Numbers: [72, 7, 51] Generated Node #2: [72, 7, 51] from Operation: 63-12=51 Current State: 14:[72, 7, 51], Operations: ['63-12=51'] Exploring Operation: 72-7=65, Resulting Numbers: [51, 65] Generated Node #3: [51, 65] from Operation: 72-7=65 Current State: 14:[51, 65], Operations: ['63-12=51', '72-7=65'] Exploring Operation: 65-51=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 57, 47, 63, 38 ]
15
[ "57-47=10", "63-38=25", "25-10=15" ]
Current State: 15:[57, 47, 63, 38], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [63, 38, 10] Generated Node #2: [63, 38, 10] from Operation: 57-47=10 Current State: 15:[63, 38, 10], Operations: ['57-47=10'] Exploring Operation: 63-38=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 63-38=25 Current State: 15:[10, 25], Operations: ['57-47=10', '63-38=25'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 42, 23, 80, 17 ]
73
[ "23-17=6", "42/6=7", "80-7=73" ]
Current State: 73:[42, 23, 80, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [42, 80, 6] Generated Node #2: [42, 80, 6] from Operation: 23-17=6 Current State: 73:[42, 80, 6], Operations: ['23-17=6'] Exploring Operation: 42/6=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 42/6=7 Current State: 73:[80, 7], Operations: ['23-17=6', '42/6=7'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 21, 99, 56, 48 ]
81
[ "21*48=1008", "1008/56=18", "99-18=81" ]
Current State: 81:[21, 99, 56, 48], Operations: [] Exploring Operation: 21*48=1008, Resulting Numbers: [99, 56, 1008] Generated Node #2: [99, 56, 1008] from Operation: 21*48=1008 Current State: 81:[99, 56, 1008], Operations: ['21*48=1008'] Exploring Operation: 1008/56=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 1008/56=18 Current State: 81:[99, 18], Operations: ['21*48=1008', '1008/56=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 56, 40, 61 ]
70
[ "61-56=5", "6*5=30", "40+30=70" ]
Current State: 70:[6, 56, 40, 61], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [6, 40, 5] Generated Node #2: [6, 40, 5] from Operation: 61-56=5 Current State: 70:[6, 40, 5], Operations: ['61-56=5'] Exploring Operation: 6*5=30, Resulting Numbers: [40, 30] Generated Node #3: [40, 30] from Operation: 6*5=30 Current State: 70:[40, 30], Operations: ['61-56=5', '6*5=30'] Exploring Operation: 40+30=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 13, 8, 94 ]
85
[ "13/13=1", "94-8=86", "86-1=85" ]
Current State: 85:[13, 13, 8, 94], Operations: [] Exploring Operation: 13/13=1, Resulting Numbers: [8, 94, 1] Generated Node #2: [8, 94, 1] from Operation: 13/13=1 Current State: 85:[8, 94, 1], Operations: ['13/13=1'] Exploring Operation: 94-8=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 94-8=86 Current State: 85:[1, 86], Operations: ['13/13=1', '94-8=86'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 65, 97, 92 ]
35
[ "97-92=5", "6*5=30", "65-30=35" ]
Current State: 35:[6, 65, 97, 92], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [6, 65, 5] Generated Node #2: [6, 65, 5] from Operation: 97-92=5 Current State: 35:[6, 65, 5], Operations: ['97-92=5'] Exploring Operation: 6*5=30, Resulting Numbers: [65, 30] Generated Node #3: [65, 30] from Operation: 6*5=30 Current State: 35:[65, 30], Operations: ['97-92=5', '6*5=30'] Exploring Operation: 65-30=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 61, 10, 87, 68 ]
84
[ "61+10=71", "87+68=155", "155-71=84" ]
Current State: 84:[61, 10, 87, 68], Operations: [] Exploring Operation: 61+10=71, Resulting Numbers: [87, 68, 71] Generated Node #2: [87, 68, 71] from Operation: 61+10=71 Current State: 84:[87, 68, 71], Operations: ['61+10=71'] Exploring Operation: 87+68=155, Resulting Numbers: [71, 155] Generated Node #3: [71, 155] from Operation: 87+68=155 Current State: 84:[71, 155], Operations: ['61+10=71', '87+68=155'] Exploring Operation: 155-71=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 61, 97, 37, 35 ]
37
[ "97-61=36", "36-35=1", "37*1=37" ]
Current State: 37:[61, 97, 37, 35], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [37, 35, 36] Generated Node #2: [37, 35, 36] from Operation: 97-61=36 Current State: 37:[37, 35, 36], Operations: ['97-61=36'] Exploring Operation: 36-35=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 36-35=1 Current State: 37:[37, 1], Operations: ['97-61=36', '36-35=1'] Exploring Operation: 37*1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 82, 90, 67 ]
61
[ "14+82=96", "90+67=157", "157-96=61" ]
Current State: 61:[14, 82, 90, 67], Operations: [] Exploring Operation: 14+82=96, Resulting Numbers: [90, 67, 96] Generated Node #2: [90, 67, 96] from Operation: 14+82=96 Current State: 61:[90, 67, 96], Operations: ['14+82=96'] Exploring Operation: 90+67=157, Resulting Numbers: [96, 157] Generated Node #3: [96, 157] from Operation: 90+67=157 Current State: 61:[96, 157], Operations: ['14+82=96', '90+67=157'] Exploring Operation: 157-96=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 99, 94, 18 ]
62
[ "99-85=14", "94-18=76", "76-14=62" ]
Current State: 62:[85, 99, 94, 18], Operations: [] Exploring Operation: 99-85=14, Resulting Numbers: [94, 18, 14] Generated Node #2: [94, 18, 14] from Operation: 99-85=14 Current State: 62:[94, 18, 14], Operations: ['99-85=14'] Exploring Operation: 94-18=76, Resulting Numbers: [14, 76] Generated Node #3: [14, 76] from Operation: 94-18=76 Current State: 62:[14, 76], Operations: ['99-85=14', '94-18=76'] Exploring Operation: 76-14=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 10, 13, 38, 46 ]
46
[ "10*13=130", "38+46=84", "130-84=46" ]
Current State: 46:[10, 13, 38, 46], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [38, 46, 130] Generated Node #2: [38, 46, 130] from Operation: 10*13=130 Current State: 46:[38, 46, 130], Operations: ['10*13=130'] Exploring Operation: 38+46=84, Resulting Numbers: [130, 84] Generated Node #3: [130, 84] from Operation: 38+46=84 Current State: 46:[130, 84], Operations: ['10*13=130', '38+46=84'] Exploring Operation: 130-84=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 20, 9, 70 ]
96
[ "15+20=35", "70-9=61", "35+61=96" ]
Current State: 96:[15, 20, 9, 70], Operations: [] Exploring Operation: 15+20=35, Resulting Numbers: [9, 70, 35] Generated Node #2: [9, 70, 35] from Operation: 15+20=35 Current State: 96:[9, 70, 35], Operations: ['15+20=35'] Exploring Operation: 70-9=61, Resulting Numbers: [35, 61] Generated Node #3: [35, 61] from Operation: 70-9=61 Current State: 96:[35, 61], Operations: ['15+20=35', '70-9=61'] Exploring Operation: 35+61=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 41, 60, 1, 84 ]
66
[ "60-41=19", "1+84=85", "85-19=66" ]
Current State: 66:[41, 60, 1, 84], Operations: [] Exploring Operation: 60-41=19, Resulting Numbers: [1, 84, 19] Generated Node #2: [1, 84, 19] from Operation: 60-41=19 Current State: 66:[1, 84, 19], Operations: ['60-41=19'] Exploring Operation: 1+84=85, Resulting Numbers: [19, 85] Generated Node #3: [19, 85] from Operation: 1+84=85 Current State: 66:[19, 85], Operations: ['60-41=19', '1+84=85'] Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 29, 13, 68 ]
33
[ "10*13=130", "29+68=97", "130-97=33" ]
Current State: 33:[10, 29, 13, 68], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [29, 68, 130] Generated Node #2: [29, 68, 130] from Operation: 10*13=130 Current State: 33:[29, 68, 130], Operations: ['10*13=130'] Exploring Operation: 29+68=97, Resulting Numbers: [130, 97] Generated Node #3: [130, 97] from Operation: 29+68=97 Current State: 33:[130, 97], Operations: ['10*13=130', '29+68=97'] Exploring Operation: 130-97=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 86, 5, 69, 39 ]
17
[ "86+5=91", "69+39=108", "108-91=17" ]
Current State: 17:[86, 5, 69, 39], Operations: [] Exploring Operation: 86+5=91, Resulting Numbers: [69, 39, 91] Generated Node #2: [69, 39, 91] from Operation: 86+5=91 Current State: 17:[69, 39, 91], Operations: ['86+5=91'] Exploring Operation: 69+39=108, Resulting Numbers: [91, 108] Generated Node #3: [91, 108] from Operation: 69+39=108 Current State: 17:[91, 108], Operations: ['86+5=91', '69+39=108'] Exploring Operation: 108-91=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 91, 84, 4, 29 ]
54
[ "91+29=120", "120/4=30", "84-30=54" ]
Current State: 54:[91, 84, 4, 29], Operations: [] Exploring Operation: 91+29=120, Resulting Numbers: [84, 4, 120] Generated Node #2: [84, 4, 120] from Operation: 91+29=120 Current State: 54:[84, 4, 120], Operations: ['91+29=120'] Exploring Operation: 120/4=30, Resulting Numbers: [84, 30] Generated Node #3: [84, 30] from Operation: 120/4=30 Current State: 54:[84, 30], Operations: ['91+29=120', '120/4=30'] Exploring Operation: 84-30=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 78, 44, 16, 6 ]
73
[ "78/6=13", "44+16=60", "13+60=73" ]
Current State: 73:[78, 44, 16, 6], Operations: [] Exploring Operation: 78/6=13, Resulting Numbers: [44, 16, 13] Generated Node #2: [44, 16, 13] from Operation: 78/6=13 Current State: 73:[44, 16, 13], Operations: ['78/6=13'] Exploring Operation: 44+16=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 44+16=60 Current State: 73:[13, 60], Operations: ['78/6=13', '44+16=60'] Exploring Operation: 13+60=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 50, 30, 18, 36 ]
30
[ "36-18=18", "50*18=900", "900/30=30" ]
Current State: 30:[50, 30, 18, 36], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [50, 30, 18] Generated Node #2: [50, 30, 18] from Operation: 36-18=18 Current State: 30:[50, 30, 18], Operations: ['36-18=18'] Exploring Operation: 50*18=900, Resulting Numbers: [30, 900] Generated Node #3: [30, 900] from Operation: 50*18=900 Current State: 30:[30, 900], Operations: ['36-18=18', '50*18=900'] Exploring Operation: 900/30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 74, 9, 90 ]
88
[ "74-56=18", "18/9=2", "90-2=88" ]
Current State: 88:[56, 74, 9, 90], Operations: [] Exploring Operation: 74-56=18, Resulting Numbers: [9, 90, 18] Generated Node #2: [9, 90, 18] from Operation: 74-56=18 Current State: 88:[9, 90, 18], Operations: ['74-56=18'] Exploring Operation: 18/9=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 18/9=2 Current State: 88:[90, 2], Operations: ['74-56=18', '18/9=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 97, 35, 36 ]
11
[ "8*36=288", "97+288=385", "385/35=11" ]
Current State: 11:[8, 97, 35, 36], Operations: [] Exploring Operation: 8*36=288, Resulting Numbers: [97, 35, 288] Generated Node #2: [97, 35, 288] from Operation: 8*36=288 Current State: 11:[97, 35, 288], Operations: ['8*36=288'] Exploring Operation: 97+288=385, Resulting Numbers: [35, 385] Generated Node #3: [35, 385] from Operation: 97+288=385 Current State: 11:[35, 385], Operations: ['8*36=288', '97+288=385'] Exploring Operation: 385/35=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 84, 60, 14, 56 ]
36
[ "84+60=144", "56/14=4", "144/4=36" ]
Current State: 36:[84, 60, 14, 56], Operations: [] Exploring Operation: 84+60=144, Resulting Numbers: [14, 56, 144] Generated Node #2: [14, 56, 144] from Operation: 84+60=144 Current State: 36:[14, 56, 144], Operations: ['84+60=144'] Exploring Operation: 56/14=4, Resulting Numbers: [144, 4] Generated Node #3: [144, 4] from Operation: 56/14=4 Current State: 36:[144, 4], Operations: ['84+60=144', '56/14=4'] Exploring Operation: 144/4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 59, 62, 81 ]
54
[ "81+81=162", "62-59=3", "162/3=54" ]
Current State: 54:[81, 59, 62, 81], Operations: [] Exploring Operation: 81+81=162, Resulting Numbers: [59, 62, 162] Generated Node #2: [59, 62, 162] from Operation: 81+81=162 Current State: 54:[59, 62, 162], Operations: ['81+81=162'] Exploring Operation: 62-59=3, Resulting Numbers: [162, 3] Generated Node #3: [162, 3] from Operation: 62-59=3 Current State: 54:[162, 3], Operations: ['81+81=162', '62-59=3'] Exploring Operation: 162/3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 89, 70, 75, 89 ]
84
[ "89-75=14", "70/14=5", "89-5=84" ]
Current State: 84:[89, 70, 75, 89], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [70, 14] Generated Node #2: [70, 14] from Operation: 89-75=14 Current State: 84:[70, 14], Operations: ['89-75=14'] Exploring Operation: 70/14=5, Resulting Numbers: [5] 5,84 equal: Goal Reached Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 5, 93, 99 ]
65
[ "99-93=6", "5*6=30", "35+30=65" ]
Current State: 65:[35, 5, 93, 99], Operations: [] Exploring Operation: 99-93=6, Resulting Numbers: [35, 5, 6] Generated Node #2: [35, 5, 6] from Operation: 99-93=6 Current State: 65:[35, 5, 6], Operations: ['99-93=6'] Exploring Operation: 5*6=30, Resulting Numbers: [35, 30] Generated Node #3: [35, 30] from Operation: 5*6=30 Current State: 65:[35, 30], Operations: ['99-93=6', '5*6=30'] Exploring Operation: 35+30=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 73, 42, 33, 96 ]
14
[ "73+42=115", "33+96=129", "129-115=14" ]
Current State: 14:[73, 42, 33, 96], Operations: [] Exploring Operation: 73+42=115, Resulting Numbers: [33, 96, 115] Generated Node #2: [33, 96, 115] from Operation: 73+42=115 Current State: 14:[33, 96, 115], Operations: ['73+42=115'] Exploring Operation: 33+96=129, Resulting Numbers: [115, 129] Generated Node #3: [115, 129] from Operation: 33+96=129 Current State: 14:[115, 129], Operations: ['73+42=115', '33+96=129'] Exploring Operation: 129-115=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 71, 2, 91, 77 ]
34
[ "71+77=148", "2*91=182", "182-148=34" ]
Current State: 34:[71, 2, 91, 77], Operations: [] Exploring Operation: 71+77=148, Resulting Numbers: [2, 91, 148] Generated Node #2: [2, 91, 148] from Operation: 71+77=148 Current State: 34:[2, 91, 148], Operations: ['71+77=148'] Exploring Operation: 2*91=182, Resulting Numbers: [148, 182] Generated Node #3: [148, 182] from Operation: 2*91=182 Current State: 34:[148, 182], Operations: ['71+77=148', '2*91=182'] Exploring Operation: 182-148=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 22, 43, 3 ]
41
[ "22-3=19", "38/19=2", "43-2=41" ]
Current State: 41:[38, 22, 43, 3], Operations: [] Exploring Operation: 22-3=19, Resulting Numbers: [38, 43, 19] Generated Node #2: [38, 43, 19] from Operation: 22-3=19 Current State: 41:[38, 43, 19], Operations: ['22-3=19'] Exploring Operation: 38/19=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 38/19=2 Current State: 41:[43, 2], Operations: ['22-3=19', '38/19=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 60, 74, 66, 45 ]
40
[ "60*74=4440", "66+45=111", "4440/111=40" ]
Current State: 40:[60, 74, 66, 45], Operations: [] Exploring Operation: 60*74=4440, Resulting Numbers: [66, 45, 4440] Generated Node #2: [66, 45, 4440] from Operation: 60*74=4440 Current State: 40:[66, 45, 4440], Operations: ['60*74=4440'] Exploring Operation: 66+45=111, Resulting Numbers: [4440, 111] Generated Node #3: [4440, 111] from Operation: 66+45=111 Current State: 40:[4440, 111], Operations: ['60*74=4440', '66+45=111'] Exploring Operation: 4440/111=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 38, 1, 6, 24 ]
90
[ "38+1=39", "39-24=15", "6*15=90" ]
Current State: 90:[38, 1, 6, 24], Operations: [] Exploring Operation: 38+1=39, Resulting Numbers: [6, 24, 39] Generated Node #2: [6, 24, 39] from Operation: 38+1=39 Current State: 90:[6, 24, 39], Operations: ['38+1=39'] Exploring Operation: 39-24=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 39-24=15 Current State: 90:[6, 15], Operations: ['38+1=39', '39-24=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 29, 68, 5 ]
40
[ "68-13=55", "55/5=11", "29+11=40" ]
Current State: 40:[13, 29, 68, 5], Operations: [] Exploring Operation: 68-13=55, Resulting Numbers: [29, 5, 55] Generated Node #2: [29, 5, 55] from Operation: 68-13=55 Current State: 40:[29, 5, 55], Operations: ['68-13=55'] Exploring Operation: 55/5=11, Resulting Numbers: [29, 11] Generated Node #3: [29, 11] from Operation: 55/5=11 Current State: 40:[29, 11], Operations: ['68-13=55', '55/5=11'] Exploring Operation: 29+11=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 79, 64, 41 ]
94
[ "90-79=11", "64+41=105", "105-11=94" ]
Current State: 94:[90, 79, 64, 41], Operations: [] Exploring Operation: 90-79=11, Resulting Numbers: [64, 41, 11] Generated Node #2: [64, 41, 11] from Operation: 90-79=11 Current State: 94:[64, 41, 11], Operations: ['90-79=11'] Exploring Operation: 64+41=105, Resulting Numbers: [11, 105] Generated Node #3: [11, 105] from Operation: 64+41=105 Current State: 94:[11, 105], Operations: ['90-79=11', '64+41=105'] Exploring Operation: 105-11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 56, 56, 24 ]
99
[ "76+24=100", "56/56=1", "100-1=99" ]
Current State: 99:[76, 56, 56, 24], Operations: [] Exploring Operation: 76+24=100, Resulting Numbers: [56, 56, 100] Generated Node #2: [56, 56, 100] from Operation: 76+24=100 Current State: 99:[56, 56, 100], Operations: ['76+24=100'] Exploring Operation: 56/56=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 56/56=1 Current State: 99:[100, 1], Operations: ['76+24=100', '56/56=1'] Exploring Operation: 100-1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 2, 25, 97 ]
20
[ "97-27=70", "2*25=50", "70-50=20" ]
Current State: 20:[27, 2, 25, 97], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [2, 25, 70] Generated Node #2: [2, 25, 70] from Operation: 97-27=70 Current State: 20:[2, 25, 70], Operations: ['97-27=70'] Exploring Operation: 2*25=50, Resulting Numbers: [70, 50] Generated Node #3: [70, 50] from Operation: 2*25=50 Current State: 20:[70, 50], Operations: ['97-27=70', '2*25=50'] Exploring Operation: 70-50=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 60, 62, 47, 4 ]
98
[ "62-60=2", "47*2=94", "4+94=98" ]
Current State: 98:[60, 62, 47, 4], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [47, 4, 2] Generated Node #2: [47, 4, 2] from Operation: 62-60=2 Current State: 98:[47, 4, 2], Operations: ['62-60=2'] Exploring Operation: 47*2=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 47*2=94 Current State: 98:[4, 94], Operations: ['62-60=2', '47*2=94'] Exploring Operation: 4+94=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 80, 16, 52, 94 ]
82
[ "80-16=64", "52+94=146", "146-64=82" ]
Current State: 82:[80, 16, 52, 94], Operations: [] Exploring Operation: 80-16=64, Resulting Numbers: [52, 94, 64] Generated Node #2: [52, 94, 64] from Operation: 80-16=64 Current State: 82:[52, 94, 64], Operations: ['80-16=64'] Exploring Operation: 52+94=146, Resulting Numbers: [64, 146] Generated Node #3: [64, 146] from Operation: 52+94=146 Current State: 82:[64, 146], Operations: ['80-16=64', '52+94=146'] Exploring Operation: 146-64=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 5, 2, 2 ]
59
[ "5-2=3", "19*3=57", "2+57=59" ]
Current State: 59:[19, 5, 2, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [19, 3] Generated Node #2: [19, 3] from Operation: 5-2=3 Current State: 59:[19, 3], Operations: ['5-2=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,59 equal: Goal Reached Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 94, 29, 98 ]
76
[ "29-10=19", "98-94=4", "19*4=76" ]
Current State: 76:[10, 94, 29, 98], Operations: [] Exploring Operation: 29-10=19, Resulting Numbers: [94, 98, 19] Generated Node #2: [94, 98, 19] from Operation: 29-10=19 Current State: 76:[94, 98, 19], Operations: ['29-10=19'] Exploring Operation: 98-94=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 98-94=4 Current State: 76:[19, 4], Operations: ['29-10=19', '98-94=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 79, 31, 42 ]
81
[ "20+42=62", "62/31=2", "79+2=81" ]
Current State: 81:[20, 79, 31, 42], Operations: [] Exploring Operation: 20+42=62, Resulting Numbers: [79, 31, 62] Generated Node #2: [79, 31, 62] from Operation: 20+42=62 Current State: 81:[79, 31, 62], Operations: ['20+42=62'] Exploring Operation: 62/31=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 62/31=2 Current State: 81:[79, 2], Operations: ['20+42=62', '62/31=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 69, 34, 18, 45 ]
76
[ "69+34=103", "45-18=27", "103-27=76" ]
Current State: 76:[69, 34, 18, 45], Operations: [] Exploring Operation: 69+34=103, Resulting Numbers: [18, 45, 103] Generated Node #2: [18, 45, 103] from Operation: 69+34=103 Current State: 76:[18, 45, 103], Operations: ['69+34=103'] Exploring Operation: 45-18=27, Resulting Numbers: [103, 27] Generated Node #3: [103, 27] from Operation: 45-18=27 Current State: 76:[103, 27], Operations: ['69+34=103', '45-18=27'] Exploring Operation: 103-27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 48, 72, 96, 52 ]
65
[ "48+72=120", "52*120=6240", "6240/96=65" ]
Current State: 65:[48, 72, 96, 52], Operations: [] Exploring Operation: 48+72=120, Resulting Numbers: [96, 52, 120] Generated Node #2: [96, 52, 120] from Operation: 48+72=120 Current State: 65:[96, 52, 120], Operations: ['48+72=120'] Exploring Operation: 52*120=6240, Resulting Numbers: [96, 6240] Generated Node #3: [96, 6240] from Operation: 52*120=6240 Current State: 65:[96, 6240], Operations: ['48+72=120', '52*120=6240'] Exploring Operation: 6240/96=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 35, 8, 94 ]
94
[ "8-8=0", "35*0=0", "94+0=94" ]
Current State: 94:[8, 35, 8, 94], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [35, 94, 0] Generated Node #2: [35, 94, 0] from Operation: 8-8=0 Current State: 94:[35, 94, 0], Operations: ['8-8=0'] Exploring Operation: 35*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 35*0=0 Current State: 94:[94, 0], Operations: ['8-8=0', '35*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 34, 30, 44 ]
54
[ "54-34=20", "30+44=74", "74-20=54" ]
Current State: 54:[54, 34, 30, 44], Operations: [] Exploring Operation: 54-34=20, Resulting Numbers: [30, 44, 20] Generated Node #2: [30, 44, 20] from Operation: 54-34=20 Current State: 54:[30, 44, 20], Operations: ['54-34=20'] Exploring Operation: 30+44=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 30+44=74 Current State: 54:[20, 74], Operations: ['54-34=20', '30+44=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 54, 90, 45 ]
75
[ "84-54=30", "90-45=45", "30+45=75" ]
Current State: 75:[84, 54, 90, 45], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [90, 45, 30] Generated Node #2: [90, 45, 30] from Operation: 84-54=30 Current State: 75:[90, 45, 30], Operations: ['84-54=30'] Exploring Operation: 90-45=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 90-45=45 Current State: 75:[30, 45], Operations: ['84-54=30', '90-45=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 48, 61, 8, 15 ]
86
[ "48+61=109", "8+15=23", "109-23=86" ]
Current State: 86:[48, 61, 8, 15], Operations: [] Exploring Operation: 48+61=109, Resulting Numbers: [8, 15, 109] Generated Node #2: [8, 15, 109] from Operation: 48+61=109 Current State: 86:[8, 15, 109], Operations: ['48+61=109'] Exploring Operation: 8+15=23, Resulting Numbers: [109, 23] Generated Node #3: [109, 23] from Operation: 8+15=23 Current State: 86:[109, 23], Operations: ['48+61=109', '8+15=23'] Exploring Operation: 109-23=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 93, 92, 31 ]
27
[ "92-62=30", "93/31=3", "30-3=27" ]
Current State: 27:[62, 93, 92, 31], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [93, 31, 30] Generated Node #2: [93, 31, 30] from Operation: 92-62=30 Current State: 27:[93, 31, 30], Operations: ['92-62=30'] Exploring Operation: 93/31=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 93/31=3 Current State: 27:[30, 3], Operations: ['92-62=30', '93/31=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 13, 42, 64 ]
48
[ "42/14=3", "64-13=51", "51-3=48" ]
Current State: 48:[14, 13, 42, 64], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [13, 64, 3] Generated Node #2: [13, 64, 3] from Operation: 42/14=3 Current State: 48:[13, 64, 3], Operations: ['42/14=3'] Exploring Operation: 64-13=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 64-13=51 Current State: 48:[3, 51], Operations: ['42/14=3', '64-13=51'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 98, 3, 68, 9 ]
19
[ "98-68=30", "30/3=10", "9+10=19" ]
Current State: 19:[98, 3, 68, 9], Operations: [] Exploring Operation: 98-68=30, Resulting Numbers: [3, 9, 30] Generated Node #2: [3, 9, 30] from Operation: 98-68=30 Current State: 19:[3, 9, 30], Operations: ['98-68=30'] Exploring Operation: 30/3=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 30/3=10 Current State: 19:[9, 10], Operations: ['98-68=30', '30/3=10'] Exploring Operation: 9+10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 40, 52, 56, 6 ]
65
[ "56-6=50", "52*50=2600", "2600/40=65" ]
Current State: 65:[40, 52, 56, 6], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [40, 52, 50] Generated Node #2: [40, 52, 50] from Operation: 56-6=50 Current State: 65:[40, 52, 50], Operations: ['56-6=50'] Exploring Operation: 52*50=2600, Resulting Numbers: [40, 2600] Generated Node #3: [40, 2600] from Operation: 52*50=2600 Current State: 65:[40, 2600], Operations: ['56-6=50', '52*50=2600'] Exploring Operation: 2600/40=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 36, 55, 15 ]
37
[ "36/12=3", "55-15=40", "40-3=37" ]
Current State: 37:[12, 36, 55, 15], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [55, 15, 3] Generated Node #2: [55, 15, 3] from Operation: 36/12=3 Current State: 37:[55, 15, 3], Operations: ['36/12=3'] Exploring Operation: 55-15=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 55-15=40 Current State: 37:[3, 40], Operations: ['36/12=3', '55-15=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 50, 18, 99, 22 ]
31
[ "18*99=1782", "1782/22=81", "81-50=31" ]
Current State: 31:[50, 18, 99, 22], Operations: [] Exploring Operation: 18*99=1782, Resulting Numbers: [50, 22, 1782] Generated Node #2: [50, 22, 1782] from Operation: 18*99=1782 Current State: 31:[50, 22, 1782], Operations: ['18*99=1782'] Exploring Operation: 1782/22=81, Resulting Numbers: [50, 81] Generated Node #3: [50, 81] from Operation: 1782/22=81 Current State: 31:[50, 81], Operations: ['18*99=1782', '1782/22=81'] Exploring Operation: 81-50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 16, 20, 12, 4 ]
56
[ "16*4=64", "20-12=8", "64-8=56" ]
Current State: 56:[16, 20, 12, 4], Operations: [] Exploring Operation: 16*4=64, Resulting Numbers: [20, 12, 64] Generated Node #2: [20, 12, 64] from Operation: 16*4=64 Current State: 56:[20, 12, 64], Operations: ['16*4=64'] Exploring Operation: 20-12=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 20-12=8 Current State: 56:[64, 8], Operations: ['16*4=64', '20-12=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 12, 13, 99 ]
58
[ "42+12=54", "13+99=112", "112-54=58" ]
Current State: 58:[42, 12, 13, 99], Operations: [] Exploring Operation: 42+12=54, Resulting Numbers: [13, 99, 54] Generated Node #2: [13, 99, 54] from Operation: 42+12=54 Current State: 58:[13, 99, 54], Operations: ['42+12=54'] Exploring Operation: 13+99=112, Resulting Numbers: [54, 112] Generated Node #3: [54, 112] from Operation: 13+99=112 Current State: 58:[54, 112], Operations: ['42+12=54', '13+99=112'] Exploring Operation: 112-54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 46, 99, 80, 71 ]
98
[ "99-46=53", "80+71=151", "151-53=98" ]
Current State: 98:[46, 99, 80, 71], Operations: [] Exploring Operation: 99-46=53, Resulting Numbers: [80, 71, 53] Generated Node #2: [80, 71, 53] from Operation: 99-46=53 Current State: 98:[80, 71, 53], Operations: ['99-46=53'] Exploring Operation: 80+71=151, Resulting Numbers: [53, 151] Generated Node #3: [53, 151] from Operation: 80+71=151 Current State: 98:[53, 151], Operations: ['99-46=53', '80+71=151'] Exploring Operation: 151-53=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4