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
[ 18, 46, 44, 42 ]
12
[ "42-18=24", "46-44=2", "24/2=12" ]
Current State: 12:[18, 46, 44, 42], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [46, 44, 24] Generated Node #2: [46, 44, 24] from Operation: 42-18=24 Current State: 12:[46, 44, 24], Operations: ['42-18=24'] Exploring Operation: 46-44=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 46-44=2 Current State: 12:[24, 2], Operations: ['42-18=24', '46-44=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 43, 76, 34 ]
15
[ "52+43=95", "76+34=110", "110-95=15" ]
Current State: 15:[52, 43, 76, 34], Operations: [] Exploring Operation: 52+43=95, Resulting Numbers: [76, 34, 95] Generated Node #2: [76, 34, 95] from Operation: 52+43=95 Current State: 15:[76, 34, 95], Operations: ['52+43=95'] Exploring Operation: 76+34=110, Resulting Numbers: [95, 110] Generated Node #3: [95, 110] from Operation: 76+34=110 Current State: 15:[95, 110], Operations: ['52+43=95', '76+34=110'] Exploring Operation: 110-95=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 28, 97, 23, 81 ]
35
[ "97-28=69", "23+81=104", "104-69=35" ]
Current State: 35:[28, 97, 23, 81], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [23, 81, 69] Generated Node #2: [23, 81, 69] from Operation: 97-28=69 Current State: 35:[23, 81, 69], Operations: ['97-28=69'] Exploring Operation: 23+81=104, Resulting Numbers: [69, 104] Generated Node #3: [69, 104] from Operation: 23+81=104 Current State: 35:[69, 104], Operations: ['97-28=69', '23+81=104'] Exploring Operation: 104-69=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 83, 16, 88, 63 ]
42
[ "83-16=67", "88-63=25", "67-25=42" ]
Current State: 42:[83, 16, 88, 63], Operations: [] Exploring Operation: 83-16=67, Resulting Numbers: [88, 63, 67] Generated Node #2: [88, 63, 67] from Operation: 83-16=67 Current State: 42:[88, 63, 67], Operations: ['83-16=67'] Exploring Operation: 88-63=25, Resulting Numbers: [67, 25] Generated Node #3: [67, 25] from Operation: 88-63=25 Current State: 42:[67, 25], Operations: ['83-16=67', '88-63=25'] Exploring Operation: 67-25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 21, 69, 13 ]
11
[ "21-13=8", "10*8=80", "80-69=11" ]
Current State: 11:[10, 21, 69, 13], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [10, 69, 8] Generated Node #2: [10, 69, 8] from Operation: 21-13=8 Current State: 11:[10, 69, 8], Operations: ['21-13=8'] Exploring Operation: 10*8=80, Resulting Numbers: [69, 80] Generated Node #3: [69, 80] from Operation: 10*8=80 Current State: 11:[69, 80], Operations: ['21-13=8', '10*8=80'] Exploring Operation: 80-69=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 13, 23, 21 ]
20
[ "23-21=2", "14/2=7", "13+7=20" ]
Current State: 20:[14, 13, 23, 21], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [14, 13, 2] Generated Node #2: [14, 13, 2] from Operation: 23-21=2 Current State: 20:[14, 13, 2], Operations: ['23-21=2'] Exploring Operation: 14/2=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 14/2=7 Current State: 20:[13, 7], Operations: ['23-21=2', '14/2=7'] Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 92, 32, 44 ]
18
[ "11*44=484", "92+484=576", "576/32=18" ]
Current State: 18:[11, 92, 32, 44], Operations: [] Exploring Operation: 11*44=484, Resulting Numbers: [92, 32, 484] Generated Node #2: [92, 32, 484] from Operation: 11*44=484 Current State: 18:[92, 32, 484], Operations: ['11*44=484'] Exploring Operation: 92+484=576, Resulting Numbers: [32, 576] Generated Node #3: [32, 576] from Operation: 92+484=576 Current State: 18:[32, 576], Operations: ['11*44=484', '92+484=576'] Exploring Operation: 576/32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 3, 99, 39 ]
38
[ "19+3=22", "99-39=60", "60-22=38" ]
Current State: 38:[19, 3, 99, 39], Operations: [] Exploring Operation: 19+3=22, Resulting Numbers: [99, 39, 22] Generated Node #2: [99, 39, 22] from Operation: 19+3=22 Current State: 38:[99, 39, 22], Operations: ['19+3=22'] Exploring Operation: 99-39=60, Resulting Numbers: [22, 60] Generated Node #3: [22, 60] from Operation: 99-39=60 Current State: 38:[22, 60], Operations: ['19+3=22', '99-39=60'] Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 59, 8, 3 ]
61
[ "40/8=5", "59-3=56", "5+56=61" ]
Current State: 61:[40, 59, 8, 3], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [59, 3, 5] Generated Node #2: [59, 3, 5] from Operation: 40/8=5 Current State: 61:[59, 3, 5], Operations: ['40/8=5'] Exploring Operation: 59-3=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 59-3=56 Current State: 61:[5, 56], Operations: ['40/8=5', '59-3=56'] Exploring Operation: 5+56=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 72, 63, 61, 51 ]
15
[ "63-61=2", "72/2=36", "51-36=15" ]
Current State: 15:[72, 63, 61, 51], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [72, 51, 2] Generated Node #2: [72, 51, 2] from Operation: 63-61=2 Current State: 15:[72, 51, 2], Operations: ['63-61=2'] Exploring Operation: 72/2=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 72/2=36 Current State: 15:[51, 36], Operations: ['63-61=2', '72/2=36'] Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 69, 3, 14 ]
89
[ "94-69=25", "3*25=75", "14+75=89" ]
Current State: 89:[94, 69, 3, 14], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [3, 14, 25] Generated Node #2: [3, 14, 25] from Operation: 94-69=25 Current State: 89:[3, 14, 25], Operations: ['94-69=25'] Exploring Operation: 3*25=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 3*25=75 Current State: 89:[14, 75], Operations: ['94-69=25', '3*25=75'] Exploring Operation: 14+75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 27, 66, 31 ]
78
[ "27-8=19", "66+31=97", "97-19=78" ]
Current State: 78:[8, 27, 66, 31], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [66, 31, 19] Generated Node #2: [66, 31, 19] from Operation: 27-8=19 Current State: 78:[66, 31, 19], Operations: ['27-8=19'] Exploring Operation: 66+31=97, Resulting Numbers: [19, 97] Generated Node #3: [19, 97] from Operation: 66+31=97 Current State: 78:[19, 97], Operations: ['27-8=19', '66+31=97'] Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 16, 4, 35 ]
75
[ "35-24=11", "16*4=64", "11+64=75" ]
Current State: 75:[24, 16, 4, 35], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [16, 4, 11] Generated Node #2: [16, 4, 11] from Operation: 35-24=11 Current State: 75:[16, 4, 11], Operations: ['35-24=11'] Exploring Operation: 16*4=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 16*4=64 Current State: 75:[11, 64], Operations: ['35-24=11', '16*4=64'] Exploring Operation: 11+64=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 61, 48, 59, 73 ]
49
[ "61-59=2", "48/2=24", "73-24=49" ]
Current State: 49:[61, 48, 59, 73], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [48, 73, 2] Generated Node #2: [48, 73, 2] from Operation: 61-59=2 Current State: 49:[48, 73, 2], Operations: ['61-59=2'] Exploring Operation: 48/2=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 48/2=24 Current State: 49:[73, 24], Operations: ['61-59=2', '48/2=24'] Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 22, 67, 3 ]
11
[ "67-62=5", "5-3=2", "22/2=11" ]
Current State: 11:[62, 22, 67, 3], Operations: [] Exploring Operation: 67-62=5, Resulting Numbers: [22, 3, 5] Generated Node #2: [22, 3, 5] from Operation: 67-62=5 Current State: 11:[22, 3, 5], Operations: ['67-62=5'] Exploring Operation: 5-3=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 5-3=2 Current State: 11:[22, 2], Operations: ['67-62=5', '5-3=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 57, 30, 60, 68 ]
23
[ "60/30=2", "68/2=34", "57-34=23" ]
Current State: 23:[57, 30, 60, 68], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [57, 68, 2] Generated Node #2: [57, 68, 2] from Operation: 60/30=2 Current State: 23:[57, 68, 2], Operations: ['60/30=2'] Exploring Operation: 68/2=34, Resulting Numbers: [57, 34] Generated Node #3: [57, 34] from Operation: 68/2=34 Current State: 23:[57, 34], Operations: ['60/30=2', '68/2=34'] Exploring Operation: 57-34=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 37, 90, 14, 74 ]
67
[ "37+90=127", "74-14=60", "127-60=67" ]
Current State: 67:[37, 90, 14, 74], Operations: [] Exploring Operation: 37+90=127, Resulting Numbers: [14, 74, 127] Generated Node #2: [14, 74, 127] from Operation: 37+90=127 Current State: 67:[14, 74, 127], Operations: ['37+90=127'] Exploring Operation: 74-14=60, Resulting Numbers: [127, 60] Generated Node #3: [127, 60] from Operation: 74-14=60 Current State: 67:[127, 60], Operations: ['37+90=127', '74-14=60'] Exploring Operation: 127-60=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 54, 78, 90 ]
98
[ "56+54=110", "90-78=12", "110-12=98" ]
Current State: 98:[56, 54, 78, 90], Operations: [] Exploring Operation: 56+54=110, Resulting Numbers: [78, 90, 110] Generated Node #2: [78, 90, 110] from Operation: 56+54=110 Current State: 98:[78, 90, 110], Operations: ['56+54=110'] Exploring Operation: 90-78=12, Resulting Numbers: [110, 12] Generated Node #3: [110, 12] from Operation: 90-78=12 Current State: 98:[110, 12], Operations: ['56+54=110', '90-78=12'] Exploring Operation: 110-12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 40, 44, 47 ]
41
[ "47-40=7", "21/7=3", "44-3=41" ]
Current State: 41:[21, 40, 44, 47], Operations: [] Exploring Operation: 47-40=7, Resulting Numbers: [21, 44, 7] Generated Node #2: [21, 44, 7] from Operation: 47-40=7 Current State: 41:[21, 44, 7], Operations: ['47-40=7'] Exploring Operation: 21/7=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 21/7=3 Current State: 41:[44, 3], Operations: ['47-40=7', '21/7=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 69, 60, 20 ]
27
[ "69*20=1380", "1380/60=23", "50-23=27" ]
Current State: 27:[50, 69, 60, 20], Operations: [] Exploring Operation: 69*20=1380, Resulting Numbers: [50, 60, 1380] Generated Node #2: [50, 60, 1380] from Operation: 69*20=1380 Current State: 27:[50, 60, 1380], Operations: ['69*20=1380'] Exploring Operation: 1380/60=23, Resulting Numbers: [50, 23] Generated Node #3: [50, 23] from Operation: 1380/60=23 Current State: 27:[50, 23], Operations: ['69*20=1380', '1380/60=23'] Exploring Operation: 50-23=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 43, 7, 15 ]
48
[ "50-15=35", "35/7=5", "43+5=48" ]
Current State: 48:[50, 43, 7, 15], Operations: [] Exploring Operation: 50-15=35, Resulting Numbers: [43, 7, 35] Generated Node #2: [43, 7, 35] from Operation: 50-15=35 Current State: 48:[43, 7, 35], Operations: ['50-15=35'] Exploring Operation: 35/7=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 35/7=5 Current State: 48:[43, 5], Operations: ['50-15=35', '35/7=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 12, 52, 43 ]
81
[ "12-3=9", "52-43=9", "9*9=81" ]
Current State: 81:[3, 12, 52, 43], Operations: [] Exploring Operation: 12-3=9, Resulting Numbers: [52, 43, 9] Generated Node #2: [52, 43, 9] from Operation: 12-3=9 Current State: 81:[52, 43, 9], Operations: ['12-3=9'] Exploring Operation: 52-43=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 52-43=9 Current State: 81:[9, 9], Operations: ['12-3=9', '52-43=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 59, 97, 35 ]
96
[ "59-24=35", "35/35=1", "97-1=96" ]
Current State: 96:[24, 59, 97, 35], Operations: [] Exploring Operation: 59-24=35, Resulting Numbers: [97, 35, 35] Generated Node #2: [97, 35, 35] from Operation: 59-24=35 Current State: 96:[97, 35, 35], Operations: ['59-24=35'] Exploring Operation: 35/35=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 35/35=1 Current State: 96:[97, 1], Operations: ['59-24=35', '35/35=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 67, 46, 69, 18 ]
32
[ "69-67=2", "46+18=64", "64/2=32" ]
Current State: 32:[67, 46, 69, 18], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [46, 18, 2] Generated Node #2: [46, 18, 2] from Operation: 69-67=2 Current State: 32:[46, 18, 2], Operations: ['69-67=2'] Exploring Operation: 46+18=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 46+18=64 Current State: 32:[2, 64], Operations: ['69-67=2', '46+18=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 52, 30, 3, 86 ]
56
[ "52+30=82", "86+82=168", "168/3=56" ]
Current State: 56:[52, 30, 3, 86], Operations: [] Exploring Operation: 52+30=82, Resulting Numbers: [3, 86, 82] Generated Node #2: [3, 86, 82] from Operation: 52+30=82 Current State: 56:[3, 86, 82], Operations: ['52+30=82'] Exploring Operation: 86+82=168, Resulting Numbers: [3, 168] Generated Node #3: [3, 168] from Operation: 86+82=168 Current State: 56:[3, 168], Operations: ['52+30=82', '86+82=168'] Exploring Operation: 168/3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 54, 32, 41, 4 ]
20
[ "54-41=13", "4*13=52", "52-32=20" ]
Current State: 20:[54, 32, 41, 4], Operations: [] Exploring Operation: 54-41=13, Resulting Numbers: [32, 4, 13] Generated Node #2: [32, 4, 13] from Operation: 54-41=13 Current State: 20:[32, 4, 13], Operations: ['54-41=13'] Exploring Operation: 4*13=52, Resulting Numbers: [32, 52] Generated Node #3: [32, 52] from Operation: 4*13=52 Current State: 20:[32, 52], Operations: ['54-41=13', '4*13=52'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 49, 24, 28 ]
46
[ "40*49=1960", "1960/28=70", "70-24=46" ]
Current State: 46:[40, 49, 24, 28], Operations: [] Exploring Operation: 40*49=1960, Resulting Numbers: [24, 28, 1960] Generated Node #2: [24, 28, 1960] from Operation: 40*49=1960 Current State: 46:[24, 28, 1960], Operations: ['40*49=1960'] Exploring Operation: 1960/28=70, Resulting Numbers: [24, 70] Generated Node #3: [24, 70] from Operation: 1960/28=70 Current State: 46:[24, 70], Operations: ['40*49=1960', '1960/28=70'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 38, 15, 98 ]
28
[ "98-38=60", "7*60=420", "420/15=28" ]
Current State: 28:[7, 38, 15, 98], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [7, 15, 60] Generated Node #2: [7, 15, 60] from Operation: 98-38=60 Current State: 28:[7, 15, 60], Operations: ['98-38=60'] Exploring Operation: 7*60=420, Resulting Numbers: [15, 420] Generated Node #3: [15, 420] from Operation: 7*60=420 Current State: 28:[15, 420], Operations: ['98-38=60', '7*60=420'] Exploring Operation: 420/15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 40, 99, 33 ]
66
[ "57+40=97", "99-97=2", "33*2=66" ]
Current State: 66:[57, 40, 99, 33], Operations: [] Exploring Operation: 57+40=97, Resulting Numbers: [99, 33, 97] Generated Node #2: [99, 33, 97] from Operation: 57+40=97 Current State: 66:[99, 33, 97], Operations: ['57+40=97'] Exploring Operation: 99-97=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 99-97=2 Current State: 66:[33, 2], Operations: ['57+40=97', '99-97=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 38, 66, 93, 39 ]
50
[ "38+66=104", "93-39=54", "104-54=50" ]
Current State: 50:[38, 66, 93, 39], Operations: [] Exploring Operation: 38+66=104, Resulting Numbers: [93, 39, 104] Generated Node #2: [93, 39, 104] from Operation: 38+66=104 Current State: 50:[93, 39, 104], Operations: ['38+66=104'] Exploring Operation: 93-39=54, Resulting Numbers: [104, 54] Generated Node #3: [104, 54] from Operation: 93-39=54 Current State: 50:[104, 54], Operations: ['38+66=104', '93-39=54'] Exploring Operation: 104-54=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 79, 48, 87, 33 ]
27
[ "87-79=8", "48/8=6", "33-6=27" ]
Current State: 27:[79, 48, 87, 33], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [48, 33, 8] Generated Node #2: [48, 33, 8] from Operation: 87-79=8 Current State: 27:[48, 33, 8], Operations: ['87-79=8'] Exploring Operation: 48/8=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 48/8=6 Current State: 27:[33, 6], Operations: ['87-79=8', '48/8=6'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 64, 31, 68, 35 ]
34
[ "64-31=33", "35-33=2", "68/2=34" ]
Current State: 34:[64, 31, 68, 35], Operations: [] Exploring Operation: 64-31=33, Resulting Numbers: [68, 35, 33] Generated Node #2: [68, 35, 33] from Operation: 64-31=33 Current State: 34:[68, 35, 33], Operations: ['64-31=33'] Exploring Operation: 35-33=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 35-33=2 Current State: 34:[68, 2], Operations: ['64-31=33', '35-33=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 92, 81, 50, 22 ]
61
[ "92-81=11", "50+22=72", "72-11=61" ]
Current State: 61:[92, 81, 50, 22], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [50, 22, 11] Generated Node #2: [50, 22, 11] from Operation: 92-81=11 Current State: 61:[50, 22, 11], Operations: ['92-81=11'] Exploring Operation: 50+22=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 50+22=72 Current State: 61:[11, 72], Operations: ['92-81=11', '50+22=72'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 92, 8, 5 ]
11
[ "3+92=95", "95/5=19", "19-8=11" ]
Current State: 11:[3, 92, 8, 5], Operations: [] Exploring Operation: 3+92=95, Resulting Numbers: [8, 5, 95] Generated Node #2: [8, 5, 95] from Operation: 3+92=95 Current State: 11:[8, 5, 95], Operations: ['3+92=95'] Exploring Operation: 95/5=19, Resulting Numbers: [8, 19] Generated Node #3: [8, 19] from Operation: 95/5=19 Current State: 11:[8, 19], Operations: ['3+92=95', '95/5=19'] Exploring Operation: 19-8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 34, 48, 69, 30 ]
57
[ "34-30=4", "48/4=12", "69-12=57" ]
Current State: 57:[34, 48, 69, 30], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [48, 69, 4] Generated Node #2: [48, 69, 4] from Operation: 34-30=4 Current State: 57:[48, 69, 4], Operations: ['34-30=4'] Exploring Operation: 48/4=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 48/4=12 Current State: 57:[69, 12], Operations: ['34-30=4', '48/4=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 9, 20, 98 ]
98
[ "20/2=10", "10-9=1", "98*1=98" ]
Current State: 98:[2, 9, 20, 98], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [9, 98, 10] Generated Node #2: [9, 98, 10] from Operation: 20/2=10 Current State: 98:[9, 98, 10], Operations: ['20/2=10'] Exploring Operation: 10-9=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 10-9=1 Current State: 98:[98, 1], Operations: ['20/2=10', '10-9=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 94, 87, 2 ]
10
[ "94-15=79", "87+2=89", "89-79=10" ]
Current State: 10:[15, 94, 87, 2], Operations: [] Exploring Operation: 94-15=79, Resulting Numbers: [87, 2, 79] Generated Node #2: [87, 2, 79] from Operation: 94-15=79 Current State: 10:[87, 2, 79], Operations: ['94-15=79'] Exploring Operation: 87+2=89, Resulting Numbers: [79, 89] Generated Node #3: [79, 89] from Operation: 87+2=89 Current State: 10:[79, 89], Operations: ['94-15=79', '87+2=89'] Exploring Operation: 89-79=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 12, 60, 5 ]
97
[ "5*5=25", "12+60=72", "25+72=97" ]
Current State: 97:[5, 12, 60, 5], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [12, 60, 25] Generated Node #2: [12, 60, 25] from Operation: 5*5=25 Current State: 97:[12, 60, 25], Operations: ['5*5=25'] Exploring Operation: 12+60=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 12+60=72 Current State: 97:[25, 72], Operations: ['5*5=25', '12+60=72'] Exploring Operation: 25+72=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 52, 84, 34 ]
94
[ "34-32=2", "84/2=42", "52+42=94" ]
Current State: 94:[32, 52, 84, 34], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [52, 84, 2] Generated Node #2: [52, 84, 2] from Operation: 34-32=2 Current State: 94:[52, 84, 2], Operations: ['34-32=2'] Exploring Operation: 84/2=42, Resulting Numbers: [52, 42] Generated Node #3: [52, 42] from Operation: 84/2=42 Current State: 94:[52, 42], Operations: ['34-32=2', '84/2=42'] Exploring Operation: 52+42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 19, 27, 5 ]
41
[ "54+19=73", "27+5=32", "73-32=41" ]
Current State: 41:[54, 19, 27, 5], Operations: [] Exploring Operation: 54+19=73, Resulting Numbers: [27, 5, 73] Generated Node #2: [27, 5, 73] from Operation: 54+19=73 Current State: 41:[27, 5, 73], Operations: ['54+19=73'] Exploring Operation: 27+5=32, Resulting Numbers: [73, 32] Generated Node #3: [73, 32] from Operation: 27+5=32 Current State: 41:[73, 32], Operations: ['54+19=73', '27+5=32'] Exploring Operation: 73-32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 29, 2, 34 ]
72
[ "18/2=9", "29+34=63", "9+63=72" ]
Current State: 72:[18, 29, 2, 34], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [29, 34, 9] Generated Node #2: [29, 34, 9] from Operation: 18/2=9 Current State: 72:[29, 34, 9], Operations: ['18/2=9'] Exploring Operation: 29+34=63, Resulting Numbers: [9, 63] Generated Node #3: [9, 63] from Operation: 29+34=63 Current State: 72:[9, 63], Operations: ['18/2=9', '29+34=63'] Exploring Operation: 9+63=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 87, 53, 69, 86 ]
15
[ "87+53=140", "69+86=155", "155-140=15" ]
Current State: 15:[87, 53, 69, 86], Operations: [] Exploring Operation: 87+53=140, Resulting Numbers: [69, 86, 140] Generated Node #2: [69, 86, 140] from Operation: 87+53=140 Current State: 15:[69, 86, 140], Operations: ['87+53=140'] Exploring Operation: 69+86=155, Resulting Numbers: [140, 155] Generated Node #3: [140, 155] from Operation: 69+86=155 Current State: 15:[140, 155], Operations: ['87+53=140', '69+86=155'] Exploring Operation: 155-140=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 65, 20, 16, 19 ]
71
[ "65*16=1040", "1040/20=52", "19+52=71" ]
Current State: 71:[65, 20, 16, 19], Operations: [] Exploring Operation: 65*16=1040, Resulting Numbers: [20, 19, 1040] Generated Node #2: [20, 19, 1040] from Operation: 65*16=1040 Current State: 71:[20, 19, 1040], Operations: ['65*16=1040'] Exploring Operation: 1040/20=52, Resulting Numbers: [19, 52] Generated Node #3: [19, 52] from Operation: 1040/20=52 Current State: 71:[19, 52], Operations: ['65*16=1040', '1040/20=52'] Exploring Operation: 19+52=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 80, 21, 59 ]
74
[ "80-21=59", "59/59=1", "73+1=74" ]
Current State: 74:[73, 80, 21, 59], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [73, 59, 59] Generated Node #2: [73, 59, 59] from Operation: 80-21=59 Current State: 74:[73, 59, 59], Operations: ['80-21=59'] Exploring Operation: 59/59=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 59/59=1 Current State: 74:[73, 1], Operations: ['80-21=59', '59/59=1'] Exploring Operation: 73+1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 54, 27, 30 ]
99
[ "40*54=2160", "2160/30=72", "27+72=99" ]
Current State: 99:[40, 54, 27, 30], Operations: [] Exploring Operation: 40*54=2160, Resulting Numbers: [27, 30, 2160] Generated Node #2: [27, 30, 2160] from Operation: 40*54=2160 Current State: 99:[27, 30, 2160], Operations: ['40*54=2160'] Exploring Operation: 2160/30=72, Resulting Numbers: [27, 72] Generated Node #3: [27, 72] from Operation: 2160/30=72 Current State: 99:[27, 72], Operations: ['40*54=2160', '2160/30=72'] Exploring Operation: 27+72=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 45, 12, 95 ]
54
[ "92+45=137", "95-12=83", "137-83=54" ]
Current State: 54:[92, 45, 12, 95], Operations: [] Exploring Operation: 92+45=137, Resulting Numbers: [12, 95, 137] Generated Node #2: [12, 95, 137] from Operation: 92+45=137 Current State: 54:[12, 95, 137], Operations: ['92+45=137'] Exploring Operation: 95-12=83, Resulting Numbers: [137, 83] Generated Node #3: [137, 83] from Operation: 95-12=83 Current State: 54:[137, 83], Operations: ['92+45=137', '95-12=83'] Exploring Operation: 137-83=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 28, 62, 94 ]
92
[ "28+62=90", "90/45=2", "94-2=92" ]
Current State: 92:[45, 28, 62, 94], Operations: [] Exploring Operation: 28+62=90, Resulting Numbers: [45, 94, 90] Generated Node #2: [45, 94, 90] from Operation: 28+62=90 Current State: 92:[45, 94, 90], Operations: ['28+62=90'] Exploring Operation: 90/45=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 90/45=2 Current State: 92:[94, 2], Operations: ['28+62=90', '90/45=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 76, 62, 13, 33 ]
34
[ "76-62=14", "33-13=20", "14+20=34" ]
Current State: 34:[76, 62, 13, 33], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [13, 33, 14] Generated Node #2: [13, 33, 14] from Operation: 76-62=14 Current State: 34:[13, 33, 14], Operations: ['76-62=14'] Exploring Operation: 33-13=20, Resulting Numbers: [14, 20] Generated Node #3: [14, 20] from Operation: 33-13=20 Current State: 34:[14, 20], Operations: ['76-62=14', '33-13=20'] Exploring Operation: 14+20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 17, 36, 97, 13 ]
65
[ "36-17=19", "97-13=84", "84-19=65" ]
Current State: 65:[17, 36, 97, 13], Operations: [] Exploring Operation: 36-17=19, Resulting Numbers: [97, 13, 19] Generated Node #2: [97, 13, 19] from Operation: 36-17=19 Current State: 65:[97, 13, 19], Operations: ['36-17=19'] Exploring Operation: 97-13=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 97-13=84 Current State: 65:[19, 84], Operations: ['36-17=19', '97-13=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 79, 70, 90 ]
96
[ "79-15=64", "70+90=160", "160-64=96" ]
Current State: 96:[15, 79, 70, 90], Operations: [] Exploring Operation: 79-15=64, Resulting Numbers: [70, 90, 64] Generated Node #2: [70, 90, 64] from Operation: 79-15=64 Current State: 96:[70, 90, 64], Operations: ['79-15=64'] Exploring Operation: 70+90=160, Resulting Numbers: [64, 160] Generated Node #3: [64, 160] from Operation: 70+90=160 Current State: 96:[64, 160], Operations: ['79-15=64', '70+90=160'] Exploring Operation: 160-64=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 28, 16, 12, 34 ]
58
[ "28-16=12", "12+34=46", "12+46=58" ]
Current State: 58:[28, 16, 12, 34], Operations: [] Exploring Operation: 28-16=12, Resulting Numbers: [12, 34, 12] Generated Node #2: [12, 34, 12] from Operation: 28-16=12 Current State: 58:[12, 34, 12], Operations: ['28-16=12'] Exploring Operation: 12+34=46, Resulting Numbers: [46] 46,58 equal: Goal Reached Exploring Operation: 12+46=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 82, 92, 63 ]
56
[ "3+82=85", "92-63=29", "85-29=56" ]
Current State: 56:[3, 82, 92, 63], Operations: [] Exploring Operation: 3+82=85, Resulting Numbers: [92, 63, 85] Generated Node #2: [92, 63, 85] from Operation: 3+82=85 Current State: 56:[92, 63, 85], Operations: ['3+82=85'] Exploring Operation: 92-63=29, Resulting Numbers: [85, 29] Generated Node #3: [85, 29] from Operation: 92-63=29 Current State: 56:[85, 29], Operations: ['3+82=85', '92-63=29'] Exploring Operation: 85-29=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 10, 3, 58, 26 ]
86
[ "10*26=260", "3*58=174", "260-174=86" ]
Current State: 86:[10, 3, 58, 26], Operations: [] Exploring Operation: 10*26=260, Resulting Numbers: [3, 58, 260] Generated Node #2: [3, 58, 260] from Operation: 10*26=260 Current State: 86:[3, 58, 260], Operations: ['10*26=260'] Exploring Operation: 3*58=174, Resulting Numbers: [260, 174] Generated Node #3: [260, 174] from Operation: 3*58=174 Current State: 86:[260, 174], Operations: ['10*26=260', '3*58=174'] Exploring Operation: 260-174=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 72, 71, 73 ]
30
[ "73-71=2", "72/2=36", "36-6=30" ]
Current State: 30:[6, 72, 71, 73], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [6, 72, 2] Generated Node #2: [6, 72, 2] from Operation: 73-71=2 Current State: 30:[6, 72, 2], Operations: ['73-71=2'] Exploring Operation: 72/2=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 72/2=36 Current State: 30:[6, 36], Operations: ['73-71=2', '72/2=36'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 8, 47, 84 ]
22
[ "51+8=59", "84-47=37", "59-37=22" ]
Current State: 22:[51, 8, 47, 84], Operations: [] Exploring Operation: 51+8=59, Resulting Numbers: [47, 84, 59] Generated Node #2: [47, 84, 59] from Operation: 51+8=59 Current State: 22:[47, 84, 59], Operations: ['51+8=59'] Exploring Operation: 84-47=37, Resulting Numbers: [59, 37] Generated Node #3: [59, 37] from Operation: 84-47=37 Current State: 22:[59, 37], Operations: ['51+8=59', '84-47=37'] Exploring Operation: 59-37=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 66, 48, 3 ]
79
[ "66+48=114", "114/3=38", "41+38=79" ]
Current State: 79:[41, 66, 48, 3], Operations: [] Exploring Operation: 66+48=114, Resulting Numbers: [41, 3, 114] Generated Node #2: [41, 3, 114] from Operation: 66+48=114 Current State: 79:[41, 3, 114], Operations: ['66+48=114'] Exploring Operation: 114/3=38, Resulting Numbers: [41, 38] Generated Node #3: [41, 38] from Operation: 114/3=38 Current State: 79:[41, 38], Operations: ['66+48=114', '114/3=38'] Exploring Operation: 41+38=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 41, 56, 23, 60 ]
68
[ "56-41=15", "23+60=83", "83-15=68" ]
Current State: 68:[41, 56, 23, 60], Operations: [] Exploring Operation: 56-41=15, Resulting Numbers: [23, 60, 15] Generated Node #2: [23, 60, 15] from Operation: 56-41=15 Current State: 68:[23, 60, 15], Operations: ['56-41=15'] Exploring Operation: 23+60=83, Resulting Numbers: [15, 83] Generated Node #3: [15, 83] from Operation: 23+60=83 Current State: 68:[15, 83], Operations: ['56-41=15', '23+60=83'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 80, 5, 95, 10 ]
35
[ "80+95=175", "10-5=5", "175/5=35" ]
Current State: 35:[80, 5, 95, 10], Operations: [] Exploring Operation: 80+95=175, Resulting Numbers: [5, 10, 175] Generated Node #2: [5, 10, 175] from Operation: 80+95=175 Current State: 35:[5, 10, 175], Operations: ['80+95=175'] Exploring Operation: 10-5=5, Resulting Numbers: [175, 5] Generated Node #3: [175, 5] from Operation: 10-5=5 Current State: 35:[175, 5], Operations: ['80+95=175', '10-5=5'] Exploring Operation: 175/5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 7, 8, 4 ]
80
[ "7-4=3", "8*3=24", "56+24=80" ]
Current State: 80:[56, 7, 8, 4], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [56, 8, 3] Generated Node #2: [56, 8, 3] from Operation: 7-4=3 Current State: 80:[56, 8, 3], Operations: ['7-4=3'] Exploring Operation: 8*3=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 8*3=24 Current State: 80:[56, 24], Operations: ['7-4=3', '8*3=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 30, 12, 32 ]
20
[ "60-12=48", "30*32=960", "960/48=20" ]
Current State: 20:[60, 30, 12, 32], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [30, 32, 48] Generated Node #2: [30, 32, 48] from Operation: 60-12=48 Current State: 20:[30, 32, 48], Operations: ['60-12=48'] Exploring Operation: 30*32=960, Resulting Numbers: [48, 960] Generated Node #3: [48, 960] from Operation: 30*32=960 Current State: 20:[48, 960], Operations: ['60-12=48', '30*32=960'] Exploring Operation: 960/48=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 14, 8, 15, 21 ]
16
[ "14+8=22", "21-15=6", "22-6=16" ]
Current State: 16:[14, 8, 15, 21], Operations: [] Exploring Operation: 14+8=22, Resulting Numbers: [15, 21, 22] Generated Node #2: [15, 21, 22] from Operation: 14+8=22 Current State: 16:[15, 21, 22], Operations: ['14+8=22'] Exploring Operation: 21-15=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 21-15=6 Current State: 16:[22, 6], Operations: ['14+8=22', '21-15=6'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 6, 69, 29 ]
69
[ "6-6=0", "29*0=0", "69+0=69" ]
Current State: 69:[6, 6, 69, 29], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [69, 29, 0] Generated Node #2: [69, 29, 0] from Operation: 6-6=0 Current State: 69:[69, 29, 0], Operations: ['6-6=0'] Exploring Operation: 29*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 29*0=0 Current State: 69:[69, 0], Operations: ['6-6=0', '29*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 75, 13, 77, 94 ]
90
[ "75+94=169", "169/13=13", "77+13=90" ]
Current State: 90:[75, 13, 77, 94], Operations: [] Exploring Operation: 75+94=169, Resulting Numbers: [13, 77, 169] Generated Node #2: [13, 77, 169] from Operation: 75+94=169 Current State: 90:[13, 77, 169], Operations: ['75+94=169'] Exploring Operation: 169/13=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 169/13=13 Current State: 90:[77, 13], Operations: ['75+94=169', '169/13=13'] Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 10, 24, 6, 91 ]
88
[ "24+6=30", "30/10=3", "91-3=88" ]
Current State: 88:[10, 24, 6, 91], Operations: [] Exploring Operation: 24+6=30, Resulting Numbers: [10, 91, 30] Generated Node #2: [10, 91, 30] from Operation: 24+6=30 Current State: 88:[10, 91, 30], Operations: ['24+6=30'] Exploring Operation: 30/10=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 30/10=3 Current State: 88:[91, 3], Operations: ['24+6=30', '30/10=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 20, 42, 5 ]
19
[ "65-42=23", "20/5=4", "23-4=19" ]
Current State: 19:[65, 20, 42, 5], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [20, 5, 23] Generated Node #2: [20, 5, 23] from Operation: 65-42=23 Current State: 19:[20, 5, 23], Operations: ['65-42=23'] Exploring Operation: 20/5=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 20/5=4 Current State: 19:[23, 4], Operations: ['65-42=23', '20/5=4'] Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 44, 25, 68 ]
93
[ "45-44=1", "25+68=93", "1*93=93" ]
Current State: 93:[45, 44, 25, 68], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [25, 68, 1] Generated Node #2: [25, 68, 1] from Operation: 45-44=1 Current State: 93:[25, 68, 1], Operations: ['45-44=1'] Exploring Operation: 25+68=93, Resulting Numbers: [1, 93] Generated Node #3: [1, 93] from Operation: 25+68=93 Current State: 93:[1, 93], Operations: ['45-44=1', '25+68=93'] Exploring Operation: 1*93=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 96, 48, 83 ]
50
[ "96-15=81", "48+83=131", "131-81=50" ]
Current State: 50:[15, 96, 48, 83], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [48, 83, 81] Generated Node #2: [48, 83, 81] from Operation: 96-15=81 Current State: 50:[48, 83, 81], Operations: ['96-15=81'] Exploring Operation: 48+83=131, Resulting Numbers: [81, 131] Generated Node #3: [81, 131] from Operation: 48+83=131 Current State: 50:[81, 131], Operations: ['96-15=81', '48+83=131'] Exploring Operation: 131-81=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 99, 22, 92, 11 ]
81
[ "99+22=121", "121/11=11", "92-11=81" ]
Current State: 81:[99, 22, 92, 11], Operations: [] Exploring Operation: 99+22=121, Resulting Numbers: [92, 11, 121] Generated Node #2: [92, 11, 121] from Operation: 99+22=121 Current State: 81:[92, 11, 121], Operations: ['99+22=121'] Exploring Operation: 121/11=11, Resulting Numbers: [92, 11] Generated Node #3: [92, 11] from Operation: 121/11=11 Current State: 81:[92, 11], Operations: ['99+22=121', '121/11=11'] Exploring Operation: 92-11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 5, 27, 27 ]
71
[ "67+5=72", "27/27=1", "72-1=71" ]
Current State: 71:[67, 5, 27, 27], Operations: [] Exploring Operation: 67+5=72, Resulting Numbers: [27, 27, 72] Generated Node #2: [27, 27, 72] from Operation: 67+5=72 Current State: 71:[27, 27, 72], Operations: ['67+5=72'] Exploring Operation: 27/27=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 27/27=1 Current State: 71:[72, 1], Operations: ['67+5=72', '27/27=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 62, 32, 48 ]
43
[ "98+62=160", "160/32=5", "48-5=43" ]
Current State: 43:[98, 62, 32, 48], Operations: [] Exploring Operation: 98+62=160, Resulting Numbers: [32, 48, 160] Generated Node #2: [32, 48, 160] from Operation: 98+62=160 Current State: 43:[32, 48, 160], Operations: ['98+62=160'] Exploring Operation: 160/32=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 160/32=5 Current State: 43:[48, 5], Operations: ['98+62=160', '160/32=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 29, 96, 27 ]
25
[ "69+29=98", "96+27=123", "123-98=25" ]
Current State: 25:[69, 29, 96, 27], Operations: [] Exploring Operation: 69+29=98, Resulting Numbers: [96, 27, 98] Generated Node #2: [96, 27, 98] from Operation: 69+29=98 Current State: 25:[96, 27, 98], Operations: ['69+29=98'] Exploring Operation: 96+27=123, Resulting Numbers: [98, 123] Generated Node #3: [98, 123] from Operation: 96+27=123 Current State: 25:[98, 123], Operations: ['69+29=98', '96+27=123'] Exploring Operation: 123-98=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 60, 76, 91, 57 ]
45
[ "60-57=3", "91-76=15", "3*15=45" ]
Current State: 45:[60, 76, 91, 57], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [76, 91, 3] Generated Node #2: [76, 91, 3] from Operation: 60-57=3 Current State: 45:[76, 91, 3], Operations: ['60-57=3'] Exploring Operation: 91-76=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 91-76=15 Current State: 45:[3, 15], Operations: ['60-57=3', '91-76=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 98, 42, 27 ]
53
[ "98*27=2646", "2646/42=63", "63-10=53" ]
Current State: 53:[10, 98, 42, 27], Operations: [] Exploring Operation: 98*27=2646, Resulting Numbers: [10, 42, 2646] Generated Node #2: [10, 42, 2646] from Operation: 98*27=2646 Current State: 53:[10, 42, 2646], Operations: ['98*27=2646'] Exploring Operation: 2646/42=63, Resulting Numbers: [10, 63] Generated Node #3: [10, 63] from Operation: 2646/42=63 Current State: 53:[10, 63], Operations: ['98*27=2646', '2646/42=63'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 35, 38, 19, 56 ]
63
[ "38/19=2", "56/2=28", "35+28=63" ]
Current State: 63:[35, 38, 19, 56], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [35, 56, 2] Generated Node #2: [35, 56, 2] from Operation: 38/19=2 Current State: 63:[35, 56, 2], Operations: ['38/19=2'] Exploring Operation: 56/2=28, Resulting Numbers: [35, 28] Generated Node #3: [35, 28] from Operation: 56/2=28 Current State: 63:[35, 28], Operations: ['38/19=2', '56/2=28'] Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 87, 13, 41, 69 ]
10
[ "87+13=100", "41+69=110", "110-100=10" ]
Current State: 10:[87, 13, 41, 69], Operations: [] Exploring Operation: 87+13=100, Resulting Numbers: [41, 69, 100] Generated Node #2: [41, 69, 100] from Operation: 87+13=100 Current State: 10:[41, 69, 100], Operations: ['87+13=100'] Exploring Operation: 41+69=110, Resulting Numbers: [100, 110] Generated Node #3: [100, 110] from Operation: 41+69=110 Current State: 10:[100, 110], Operations: ['87+13=100', '41+69=110'] Exploring Operation: 110-100=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 43, 69, 75, 45 ]
82
[ "43+69=112", "75-45=30", "112-30=82" ]
Current State: 82:[43, 69, 75, 45], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [75, 45, 112] Generated Node #2: [75, 45, 112] from Operation: 43+69=112 Current State: 82:[75, 45, 112], Operations: ['43+69=112'] Exploring Operation: 75-45=30, Resulting Numbers: [112, 30] Generated Node #3: [112, 30] from Operation: 75-45=30 Current State: 82:[112, 30], Operations: ['43+69=112', '75-45=30'] Exploring Operation: 112-30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 14, 28, 70 ]
40
[ "28/14=2", "70-28=42", "42-2=40" ]
Current State: 40:[28, 14, 28, 70], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [70, 2] Generated Node #2: [70, 2] from Operation: 28/14=2 Current State: 40:[70, 2], Operations: ['28/14=2'] Exploring Operation: 70-28=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 70-28=42 Current State: 40:[2, 42], Operations: ['28/14=2', '70-28=42'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 61, 3, 2, 99 ]
30
[ "61+2=63", "99/3=33", "63-33=30" ]
Current State: 30:[61, 3, 2, 99], Operations: [] Exploring Operation: 61+2=63, Resulting Numbers: [3, 99, 63] Generated Node #2: [3, 99, 63] from Operation: 61+2=63 Current State: 30:[3, 99, 63], Operations: ['61+2=63'] Exploring Operation: 99/3=33, Resulting Numbers: [63, 33] Generated Node #3: [63, 33] from Operation: 99/3=33 Current State: 30:[63, 33], Operations: ['61+2=63', '99/3=33'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 73, 78, 23, 99 ]
75
[ "73+78=151", "99-23=76", "151-76=75" ]
Current State: 75:[73, 78, 23, 99], Operations: [] Exploring Operation: 73+78=151, Resulting Numbers: [23, 99, 151] Generated Node #2: [23, 99, 151] from Operation: 73+78=151 Current State: 75:[23, 99, 151], Operations: ['73+78=151'] Exploring Operation: 99-23=76, Resulting Numbers: [151, 76] Generated Node #3: [151, 76] from Operation: 99-23=76 Current State: 75:[151, 76], Operations: ['73+78=151', '99-23=76'] Exploring Operation: 151-76=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 66, 96, 32 ]
58
[ "96-32=64", "64/8=8", "66-8=58" ]
Current State: 58:[8, 66, 96, 32], Operations: [] Exploring Operation: 96-32=64, Resulting Numbers: [8, 66, 64] Generated Node #2: [8, 66, 64] from Operation: 96-32=64 Current State: 58:[8, 66, 64], Operations: ['96-32=64'] Exploring Operation: 64/8=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 64/8=8 Current State: 58:[66, 8], Operations: ['96-32=64', '64/8=8'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 95, 23, 66, 46 ]
98
[ "95+23=118", "66-46=20", "118-20=98" ]
Current State: 98:[95, 23, 66, 46], Operations: [] Exploring Operation: 95+23=118, Resulting Numbers: [66, 46, 118] Generated Node #2: [66, 46, 118] from Operation: 95+23=118 Current State: 98:[66, 46, 118], Operations: ['95+23=118'] Exploring Operation: 66-46=20, Resulting Numbers: [118, 20] Generated Node #3: [118, 20] from Operation: 66-46=20 Current State: 98:[118, 20], Operations: ['95+23=118', '66-46=20'] Exploring Operation: 118-20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 18, 77, 24 ]
87
[ "24/3=8", "18+77=95", "95-8=87" ]
Current State: 87:[3, 18, 77, 24], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [18, 77, 8] Generated Node #2: [18, 77, 8] from Operation: 24/3=8 Current State: 87:[18, 77, 8], Operations: ['24/3=8'] Exploring Operation: 18+77=95, Resulting Numbers: [8, 95] Generated Node #3: [8, 95] from Operation: 18+77=95 Current State: 87:[8, 95], Operations: ['24/3=8', '18+77=95'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 49, 4, 20, 2 ]
93
[ "49+4=53", "20*2=40", "53+40=93" ]
Current State: 93:[49, 4, 20, 2], Operations: [] Exploring Operation: 49+4=53, Resulting Numbers: [20, 2, 53] Generated Node #2: [20, 2, 53] from Operation: 49+4=53 Current State: 93:[20, 2, 53], Operations: ['49+4=53'] Exploring Operation: 20*2=40, Resulting Numbers: [53, 40] Generated Node #3: [53, 40] from Operation: 20*2=40 Current State: 93:[53, 40], Operations: ['49+4=53', '20*2=40'] Exploring Operation: 53+40=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 29, 40, 20 ]
42
[ "15+29=44", "40/20=2", "44-2=42" ]
Current State: 42:[15, 29, 40, 20], Operations: [] Exploring Operation: 15+29=44, Resulting Numbers: [40, 20, 44] Generated Node #2: [40, 20, 44] from Operation: 15+29=44 Current State: 42:[40, 20, 44], Operations: ['15+29=44'] Exploring Operation: 40/20=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 40/20=2 Current State: 42:[44, 2], Operations: ['15+29=44', '40/20=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 89, 28, 63 ]
83
[ "89-81=8", "28+63=91", "91-8=83" ]
Current State: 83:[81, 89, 28, 63], Operations: [] Exploring Operation: 89-81=8, Resulting Numbers: [28, 63, 8] Generated Node #2: [28, 63, 8] from Operation: 89-81=8 Current State: 83:[28, 63, 8], Operations: ['89-81=8'] Exploring Operation: 28+63=91, Resulting Numbers: [8, 91] Generated Node #3: [8, 91] from Operation: 28+63=91 Current State: 83:[8, 91], Operations: ['89-81=8', '28+63=91'] Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 29, 83, 6, 33 ]
15
[ "83-29=54", "6+33=39", "54-39=15" ]
Current State: 15:[29, 83, 6, 33], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [6, 33, 54] Generated Node #2: [6, 33, 54] from Operation: 83-29=54 Current State: 15:[6, 33, 54], Operations: ['83-29=54'] Exploring Operation: 6+33=39, Resulting Numbers: [54, 39] Generated Node #3: [54, 39] from Operation: 6+33=39 Current State: 15:[54, 39], Operations: ['83-29=54', '6+33=39'] Exploring Operation: 54-39=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 24, 22, 57 ]
55
[ "22-10=12", "24/12=2", "57-2=55" ]
Current State: 55:[10, 24, 22, 57], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [24, 57, 12] Generated Node #2: [24, 57, 12] from Operation: 22-10=12 Current State: 55:[24, 57, 12], Operations: ['22-10=12'] Exploring Operation: 24/12=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 24/12=2 Current State: 55:[57, 2], Operations: ['22-10=12', '24/12=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 71, 97, 18, 79 ]
70
[ "97-18=79", "79/79=1", "71-1=70" ]
Current State: 70:[71, 97, 18, 79], Operations: [] Exploring Operation: 97-18=79, Resulting Numbers: [71, 79, 79] Generated Node #2: [71, 79, 79] from Operation: 97-18=79 Current State: 70:[71, 79, 79], Operations: ['97-18=79'] Exploring Operation: 79/79=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 79/79=1 Current State: 70:[71, 1], Operations: ['97-18=79', '79/79=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 14, 58, 95 ]
83
[ "56+14=70", "58+95=153", "153-70=83" ]
Current State: 83:[56, 14, 58, 95], Operations: [] Exploring Operation: 56+14=70, Resulting Numbers: [58, 95, 70] Generated Node #2: [58, 95, 70] from Operation: 56+14=70 Current State: 83:[58, 95, 70], Operations: ['56+14=70'] Exploring Operation: 58+95=153, Resulting Numbers: [70, 153] Generated Node #3: [70, 153] from Operation: 58+95=153 Current State: 83:[70, 153], Operations: ['56+14=70', '58+95=153'] Exploring Operation: 153-70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 38, 92, 59 ]
51
[ "46+38=84", "92-59=33", "84-33=51" ]
Current State: 51:[46, 38, 92, 59], Operations: [] Exploring Operation: 46+38=84, Resulting Numbers: [92, 59, 84] Generated Node #2: [92, 59, 84] from Operation: 46+38=84 Current State: 51:[92, 59, 84], Operations: ['46+38=84'] Exploring Operation: 92-59=33, Resulting Numbers: [84, 33] Generated Node #3: [84, 33] from Operation: 92-59=33 Current State: 51:[84, 33], Operations: ['46+38=84', '92-59=33'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 65, 99, 70 ]
65
[ "29+65=94", "99-70=29", "94-29=65" ]
Current State: 65:[29, 65, 99, 70], Operations: [] Exploring Operation: 29+65=94, Resulting Numbers: [99, 70, 94] Generated Node #2: [99, 70, 94] from Operation: 29+65=94 Current State: 65:[99, 70, 94], Operations: ['29+65=94'] Exploring Operation: 99-70=29, Resulting Numbers: [94, 29] Generated Node #3: [94, 29] from Operation: 99-70=29 Current State: 65:[94, 29], Operations: ['29+65=94', '99-70=29'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 22, 95, 24 ]
92
[ "50+22=72", "72/24=3", "95-3=92" ]
Current State: 92:[50, 22, 95, 24], Operations: [] Exploring Operation: 50+22=72, Resulting Numbers: [95, 24, 72] Generated Node #2: [95, 24, 72] from Operation: 50+22=72 Current State: 92:[95, 24, 72], Operations: ['50+22=72'] Exploring Operation: 72/24=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 72/24=3 Current State: 92:[95, 3], Operations: ['50+22=72', '72/24=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 76, 97, 89, 10 ]
100
[ "97-76=21", "89-10=79", "21+79=100" ]
Current State: 100:[76, 97, 89, 10], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [89, 10, 21] Generated Node #2: [89, 10, 21] from Operation: 97-76=21 Current State: 100:[89, 10, 21], Operations: ['97-76=21'] Exploring Operation: 89-10=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 89-10=79 Current State: 100:[21, 79], Operations: ['97-76=21', '89-10=79'] Exploring Operation: 21+79=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 49, 65, 28 ]
67
[ "49-23=26", "65+28=93", "93-26=67" ]
Current State: 67:[23, 49, 65, 28], Operations: [] Exploring Operation: 49-23=26, Resulting Numbers: [65, 28, 26] Generated Node #2: [65, 28, 26] from Operation: 49-23=26 Current State: 67:[65, 28, 26], Operations: ['49-23=26'] Exploring Operation: 65+28=93, Resulting Numbers: [26, 93] Generated Node #3: [26, 93] from Operation: 65+28=93 Current State: 67:[26, 93], Operations: ['49-23=26', '65+28=93'] Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 14, 81, 14 ]
77
[ "32-14=18", "81+14=95", "95-18=77" ]
Current State: 77:[32, 14, 81, 14], Operations: [] Exploring Operation: 32-14=18, Resulting Numbers: [81, 18] Generated Node #2: [81, 18] from Operation: 32-14=18 Current State: 77:[81, 18], Operations: ['32-14=18'] Exploring Operation: 81+14=95, Resulting Numbers: [18, 95] Generated Node #3: [18, 95] from Operation: 81+14=95 Current State: 77:[18, 95], Operations: ['32-14=18', '81+14=95'] Exploring Operation: 95-18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 72, 60, 73 ]
68
[ "82-73=9", "72/9=8", "60+8=68" ]
Current State: 68:[82, 72, 60, 73], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [72, 60, 9] Generated Node #2: [72, 60, 9] from Operation: 82-73=9 Current State: 68:[72, 60, 9], Operations: ['82-73=9'] Exploring Operation: 72/9=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 72/9=8 Current State: 68:[60, 8], Operations: ['82-73=9', '72/9=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 12, 16, 3, 74 ]
43
[ "12+16=28", "74-3=71", "71-28=43" ]
Current State: 43:[12, 16, 3, 74], Operations: [] Exploring Operation: 12+16=28, Resulting Numbers: [3, 74, 28] Generated Node #2: [3, 74, 28] from Operation: 12+16=28 Current State: 43:[3, 74, 28], Operations: ['12+16=28'] Exploring Operation: 74-3=71, Resulting Numbers: [28, 71] Generated Node #3: [28, 71] from Operation: 74-3=71 Current State: 43:[28, 71], Operations: ['12+16=28', '74-3=71'] Exploring Operation: 71-28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 98, 92, 7, 89 ]
90
[ "98-92=6", "7+89=96", "96-6=90" ]
Current State: 90:[98, 92, 7, 89], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [7, 89, 6] Generated Node #2: [7, 89, 6] from Operation: 98-92=6 Current State: 90:[7, 89, 6], Operations: ['98-92=6'] Exploring Operation: 7+89=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 7+89=96 Current State: 90:[6, 96], Operations: ['98-92=6', '7+89=96'] Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 59, 5, 18, 18 ]
12
[ "18/18=1", "59+1=60", "60/5=12" ]
Current State: 12:[59, 5, 18, 18], Operations: [] Exploring Operation: 18/18=1, Resulting Numbers: [59, 5, 1] Generated Node #2: [59, 5, 1] from Operation: 18/18=1 Current State: 12:[59, 5, 1], Operations: ['18/18=1'] Exploring Operation: 59+1=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 59+1=60 Current State: 12:[5, 60], Operations: ['18/18=1', '59+1=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 49, 98, 62, 83 ]
42
[ "98/49=2", "83-62=21", "2*21=42" ]
Current State: 42:[49, 98, 62, 83], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [62, 83, 2] Generated Node #2: [62, 83, 2] from Operation: 98/49=2 Current State: 42:[62, 83, 2], Operations: ['98/49=2'] Exploring Operation: 83-62=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 83-62=21 Current State: 42:[2, 21], Operations: ['98/49=2', '83-62=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4