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
[ 27, 11, 22, 19 ]
73
[ "27*22=594", "594/11=54", "19+54=73" ]
Current State: 73:[27, 11, 22, 19], Operations: [] Exploring Operation: 27*22=594, Resulting Numbers: [11, 19, 594] Generated Node #2: [11, 19, 594] from Operation: 27*22=594 Current State: 73:[11, 19, 594], Operations: ['27*22=594'] Exploring Operation: 594/11=54, Resulting Numbers: [19, 54] Generated Node #3: [19, 54] from Operation: 594/11=54 Current State: 73:[19, 54], Operations: ['27*22=594', '594/11=54'] Exploring Operation: 19+54=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 57, 44, 85 ]
50
[ "57-48=9", "85-44=41", "9+41=50" ]
Current State: 50:[48, 57, 44, 85], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [44, 85, 9] Generated Node #2: [44, 85, 9] from Operation: 57-48=9 Current State: 50:[44, 85, 9], Operations: ['57-48=9'] Exploring Operation: 85-44=41, Resulting Numbers: [9, 41] Generated Node #3: [9, 41] from Operation: 85-44=41 Current State: 50:[9, 41], Operations: ['57-48=9', '85-44=41'] Exploring Operation: 9+41=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 31, 81, 10 ]
43
[ "14-10=4", "31*4=124", "124-81=43" ]
Current State: 43:[14, 31, 81, 10], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [31, 81, 4] Generated Node #2: [31, 81, 4] from Operation: 14-10=4 Current State: 43:[31, 81, 4], Operations: ['14-10=4'] Exploring Operation: 31*4=124, Resulting Numbers: [81, 124] Generated Node #3: [81, 124] from Operation: 31*4=124 Current State: 43:[81, 124], Operations: ['14-10=4', '31*4=124'] Exploring Operation: 124-81=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 76, 89, 52, 82 ]
17
[ "89-76=13", "82-52=30", "30-13=17" ]
Current State: 17:[76, 89, 52, 82], Operations: [] Exploring Operation: 89-76=13, Resulting Numbers: [52, 82, 13] Generated Node #2: [52, 82, 13] from Operation: 89-76=13 Current State: 17:[52, 82, 13], Operations: ['89-76=13'] Exploring Operation: 82-52=30, Resulting Numbers: [13, 30] Generated Node #3: [13, 30] from Operation: 82-52=30 Current State: 17:[13, 30], Operations: ['89-76=13', '82-52=30'] Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 55, 75, 33 ]
40
[ "21*55=1155", "1155/33=35", "75-35=40" ]
Current State: 40:[21, 55, 75, 33], Operations: [] Exploring Operation: 21*55=1155, Resulting Numbers: [75, 33, 1155] Generated Node #2: [75, 33, 1155] from Operation: 21*55=1155 Current State: 40:[75, 33, 1155], Operations: ['21*55=1155'] Exploring Operation: 1155/33=35, Resulting Numbers: [75, 35] Generated Node #3: [75, 35] from Operation: 1155/33=35 Current State: 40:[75, 35], Operations: ['21*55=1155', '1155/33=35'] Exploring Operation: 75-35=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 10, 58, 50 ]
98
[ "54-50=4", "10*4=40", "58+40=98" ]
Current State: 98:[54, 10, 58, 50], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [10, 58, 4] Generated Node #2: [10, 58, 4] from Operation: 54-50=4 Current State: 98:[10, 58, 4], Operations: ['54-50=4'] Exploring Operation: 10*4=40, Resulting Numbers: [58, 40] Generated Node #3: [58, 40] from Operation: 10*4=40 Current State: 98:[58, 40], Operations: ['54-50=4', '10*4=40'] Exploring Operation: 58+40=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 14, 61, 36 ]
68
[ "15+14=29", "61+36=97", "97-29=68" ]
Current State: 68:[15, 14, 61, 36], Operations: [] Exploring Operation: 15+14=29, Resulting Numbers: [61, 36, 29] Generated Node #2: [61, 36, 29] from Operation: 15+14=29 Current State: 68:[61, 36, 29], Operations: ['15+14=29'] Exploring Operation: 61+36=97, Resulting Numbers: [29, 97] Generated Node #3: [29, 97] from Operation: 61+36=97 Current State: 68:[29, 97], Operations: ['15+14=29', '61+36=97'] Exploring Operation: 97-29=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 50, 50, 98 ]
86
[ "98/7=14", "50+50=100", "100-14=86" ]
Current State: 86:[7, 50, 50, 98], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [50, 50, 14] Generated Node #2: [50, 50, 14] from Operation: 98/7=14 Current State: 86:[50, 50, 14], Operations: ['98/7=14'] Exploring Operation: 50+50=100, Resulting Numbers: [14, 100] Generated Node #3: [14, 100] from Operation: 50+50=100 Current State: 86:[14, 100], Operations: ['98/7=14', '50+50=100'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 53, 25, 79 ]
59
[ "53+25=78", "79-78=1", "59*1=59" ]
Current State: 59:[59, 53, 25, 79], Operations: [] Exploring Operation: 53+25=78, Resulting Numbers: [59, 79, 78] Generated Node #2: [59, 79, 78] from Operation: 53+25=78 Current State: 59:[59, 79, 78], Operations: ['53+25=78'] Exploring Operation: 79-78=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 79-78=1 Current State: 59:[59, 1], Operations: ['53+25=78', '79-78=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 81, 47, 27, 7 ]
59
[ "47-27=20", "7*20=140", "140-81=59" ]
Current State: 59:[81, 47, 27, 7], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [81, 7, 20] Generated Node #2: [81, 7, 20] from Operation: 47-27=20 Current State: 59:[81, 7, 20], Operations: ['47-27=20'] Exploring Operation: 7*20=140, Resulting Numbers: [81, 140] Generated Node #3: [81, 140] from Operation: 7*20=140 Current State: 59:[81, 140], Operations: ['47-27=20', '7*20=140'] Exploring Operation: 140-81=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 38, 90, 30, 76 ]
82
[ "38+90=128", "76-30=46", "128-46=82" ]
Current State: 82:[38, 90, 30, 76], Operations: [] Exploring Operation: 38+90=128, Resulting Numbers: [30, 76, 128] Generated Node #2: [30, 76, 128] from Operation: 38+90=128 Current State: 82:[30, 76, 128], Operations: ['38+90=128'] Exploring Operation: 76-30=46, Resulting Numbers: [128, 46] Generated Node #3: [128, 46] from Operation: 76-30=46 Current State: 82:[128, 46], Operations: ['38+90=128', '76-30=46'] Exploring Operation: 128-46=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 56, 15, 43 ]
24
[ "56-43=13", "3*13=39", "39-15=24" ]
Current State: 24:[3, 56, 15, 43], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [3, 15, 13] Generated Node #2: [3, 15, 13] from Operation: 56-43=13 Current State: 24:[3, 15, 13], Operations: ['56-43=13'] Exploring Operation: 3*13=39, Resulting Numbers: [15, 39] Generated Node #3: [15, 39] from Operation: 3*13=39 Current State: 24:[15, 39], Operations: ['56-43=13', '3*13=39'] Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 84, 29, 96 ]
65
[ "84-82=2", "96-29=67", "67-2=65" ]
Current State: 65:[82, 84, 29, 96], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [29, 96, 2] Generated Node #2: [29, 96, 2] from Operation: 84-82=2 Current State: 65:[29, 96, 2], Operations: ['84-82=2'] Exploring Operation: 96-29=67, Resulting Numbers: [2, 67] Generated Node #3: [2, 67] from Operation: 96-29=67 Current State: 65:[2, 67], Operations: ['84-82=2', '96-29=67'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 7, 36, 35 ]
34
[ "43-7=36", "36/36=1", "35-1=34" ]
Current State: 34:[43, 7, 36, 35], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [36, 35, 36] Generated Node #2: [36, 35, 36] from Operation: 43-7=36 Current State: 34:[36, 35, 36], Operations: ['43-7=36'] Exploring Operation: 36/36=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 36/36=1 Current State: 34:[35, 1], Operations: ['43-7=36', '36/36=1'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 2, 35, 24, 39 ]
17
[ "35-24=11", "2*11=22", "39-22=17" ]
Current State: 17:[2, 35, 24, 39], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [2, 39, 11] Generated Node #2: [2, 39, 11] from Operation: 35-24=11 Current State: 17:[2, 39, 11], Operations: ['35-24=11'] Exploring Operation: 2*11=22, Resulting Numbers: [39, 22] Generated Node #3: [39, 22] from Operation: 2*11=22 Current State: 17:[39, 22], Operations: ['35-24=11', '2*11=22'] Exploring Operation: 39-22=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 44, 68, 22 ]
35
[ "44/22=2", "68/2=34", "69-34=35" ]
Current State: 35:[69, 44, 68, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [69, 68, 2] Generated Node #2: [69, 68, 2] from Operation: 44/22=2 Current State: 35:[69, 68, 2], Operations: ['44/22=2'] Exploring Operation: 68/2=34, Resulting Numbers: [69, 34] Generated Node #3: [69, 34] from Operation: 68/2=34 Current State: 35:[69, 34], Operations: ['44/22=2', '68/2=34'] Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 87, 36, 47 ]
23
[ "87-53=34", "47-36=11", "34-11=23" ]
Current State: 23:[53, 87, 36, 47], Operations: [] Exploring Operation: 87-53=34, Resulting Numbers: [36, 47, 34] Generated Node #2: [36, 47, 34] from Operation: 87-53=34 Current State: 23:[36, 47, 34], Operations: ['87-53=34'] Exploring Operation: 47-36=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Operation: 47-36=11 Current State: 23:[34, 11], Operations: ['87-53=34', '47-36=11'] Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 34, 2, 13, 15 ]
90
[ "13+15=28", "2*28=56", "34+56=90" ]
Current State: 90:[34, 2, 13, 15], Operations: [] Exploring Operation: 13+15=28, Resulting Numbers: [34, 2, 28] Generated Node #2: [34, 2, 28] from Operation: 13+15=28 Current State: 90:[34, 2, 28], Operations: ['13+15=28'] Exploring Operation: 2*28=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 2*28=56 Current State: 90:[34, 56], Operations: ['13+15=28', '2*28=56'] Exploring Operation: 34+56=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 73, 97, 42 ]
45
[ "42/2=21", "97-73=24", "21+24=45" ]
Current State: 45:[2, 73, 97, 42], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [73, 97, 21] Generated Node #2: [73, 97, 21] from Operation: 42/2=21 Current State: 45:[73, 97, 21], Operations: ['42/2=21'] Exploring Operation: 97-73=24, Resulting Numbers: [21, 24] Generated Node #3: [21, 24] from Operation: 97-73=24 Current State: 45:[21, 24], Operations: ['42/2=21', '97-73=24'] Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 33, 45, 26 ]
93
[ "53*45=2385", "33+2385=2418", "2418/26=93" ]
Current State: 93:[53, 33, 45, 26], Operations: [] Exploring Operation: 53*45=2385, Resulting Numbers: [33, 26, 2385] Generated Node #2: [33, 26, 2385] from Operation: 53*45=2385 Current State: 93:[33, 26, 2385], Operations: ['53*45=2385'] Exploring Operation: 33+2385=2418, Resulting Numbers: [26, 2418] Generated Node #3: [26, 2418] from Operation: 33+2385=2418 Current State: 93:[26, 2418], Operations: ['53*45=2385', '33+2385=2418'] Exploring Operation: 2418/26=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 95, 43, 96, 24 ]
20
[ "95-43=52", "96-24=72", "72-52=20" ]
Current State: 20:[95, 43, 96, 24], Operations: [] Exploring Operation: 95-43=52, Resulting Numbers: [96, 24, 52] Generated Node #2: [96, 24, 52] from Operation: 95-43=52 Current State: 20:[96, 24, 52], Operations: ['95-43=52'] Exploring Operation: 96-24=72, Resulting Numbers: [52, 72] Generated Node #3: [52, 72] from Operation: 96-24=72 Current State: 20:[52, 72], Operations: ['95-43=52', '96-24=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 16, 77, 65 ]
46
[ "18+16=34", "77-65=12", "34+12=46" ]
Current State: 46:[18, 16, 77, 65], Operations: [] Exploring Operation: 18+16=34, Resulting Numbers: [77, 65, 34] Generated Node #2: [77, 65, 34] from Operation: 18+16=34 Current State: 46:[77, 65, 34], Operations: ['18+16=34'] Exploring Operation: 77-65=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 77-65=12 Current State: 46:[34, 12], Operations: ['18+16=34', '77-65=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 38, 29, 78, 39 ]
47
[ "38*78=2964", "2964/39=76", "76-29=47" ]
Current State: 47:[38, 29, 78, 39], Operations: [] Exploring Operation: 38*78=2964, Resulting Numbers: [29, 39, 2964] Generated Node #2: [29, 39, 2964] from Operation: 38*78=2964 Current State: 47:[29, 39, 2964], Operations: ['38*78=2964'] Exploring Operation: 2964/39=76, Resulting Numbers: [29, 76] Generated Node #3: [29, 76] from Operation: 2964/39=76 Current State: 47:[29, 76], Operations: ['38*78=2964', '2964/39=76'] Exploring Operation: 76-29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 93, 63, 30, 54 ]
70
[ "93+54=147", "30*147=4410", "4410/63=70" ]
Current State: 70:[93, 63, 30, 54], Operations: [] Exploring Operation: 93+54=147, Resulting Numbers: [63, 30, 147] Generated Node #2: [63, 30, 147] from Operation: 93+54=147 Current State: 70:[63, 30, 147], Operations: ['93+54=147'] Exploring Operation: 30*147=4410, Resulting Numbers: [63, 4410] Generated Node #3: [63, 4410] from Operation: 30*147=4410 Current State: 70:[63, 4410], Operations: ['93+54=147', '30*147=4410'] Exploring Operation: 4410/63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 39, 85, 24, 30 ]
87
[ "39-24=15", "30/15=2", "85+2=87" ]
Current State: 87:[39, 85, 24, 30], Operations: [] Exploring Operation: 39-24=15, Resulting Numbers: [85, 30, 15] Generated Node #2: [85, 30, 15] from Operation: 39-24=15 Current State: 87:[85, 30, 15], Operations: ['39-24=15'] Exploring Operation: 30/15=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 30/15=2 Current State: 87:[85, 2], Operations: ['39-24=15', '30/15=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 64, 39, 11, 79 ]
26
[ "64+79=143", "143/11=13", "39-13=26" ]
Current State: 26:[64, 39, 11, 79], Operations: [] Exploring Operation: 64+79=143, Resulting Numbers: [39, 11, 143] Generated Node #2: [39, 11, 143] from Operation: 64+79=143 Current State: 26:[39, 11, 143], Operations: ['64+79=143'] Exploring Operation: 143/11=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 143/11=13 Current State: 26:[39, 13], Operations: ['64+79=143', '143/11=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 86, 84, 65, 24 ]
28
[ "86-65=21", "84/21=4", "24+4=28" ]
Current State: 28:[86, 84, 65, 24], Operations: [] Exploring Operation: 86-65=21, Resulting Numbers: [84, 24, 21] Generated Node #2: [84, 24, 21] from Operation: 86-65=21 Current State: 28:[84, 24, 21], Operations: ['86-65=21'] Exploring Operation: 84/21=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 84/21=4 Current State: 28:[24, 4], Operations: ['86-65=21', '84/21=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 45, 42, 8 ]
92
[ "45-3=42", "42+8=50", "42+50=92" ]
Current State: 92:[3, 45, 42, 8], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [42, 8, 42] Generated Node #2: [42, 8, 42] from Operation: 45-3=42 Current State: 92:[42, 8, 42], Operations: ['45-3=42'] Exploring Operation: 42+8=50, Resulting Numbers: [50] 50,92 equal: Goal Reached Exploring Operation: 42+50=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 90, 29, 2, 62 ]
78
[ "90/2=45", "62-29=33", "45+33=78" ]
Current State: 78:[90, 29, 2, 62], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [29, 62, 45] Generated Node #2: [29, 62, 45] from Operation: 90/2=45 Current State: 78:[29, 62, 45], Operations: ['90/2=45'] Exploring Operation: 62-29=33, Resulting Numbers: [45, 33] Generated Node #3: [45, 33] from Operation: 62-29=33 Current State: 78:[45, 33], Operations: ['90/2=45', '62-29=33'] Exploring Operation: 45+33=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 83, 74, 19, 4 ]
40
[ "83-74=9", "19-9=10", "4*10=40" ]
Current State: 40:[83, 74, 19, 4], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [19, 4, 9] Generated Node #2: [19, 4, 9] from Operation: 83-74=9 Current State: 40:[19, 4, 9], Operations: ['83-74=9'] Exploring Operation: 19-9=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 19-9=10 Current State: 40:[4, 10], Operations: ['83-74=9', '19-9=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 60, 33, 67, 22 ]
23
[ "60*33=1980", "1980/22=90", "90-67=23" ]
Current State: 23:[60, 33, 67, 22], Operations: [] Exploring Operation: 60*33=1980, Resulting Numbers: [67, 22, 1980] Generated Node #2: [67, 22, 1980] from Operation: 60*33=1980 Current State: 23:[67, 22, 1980], Operations: ['60*33=1980'] Exploring Operation: 1980/22=90, Resulting Numbers: [67, 90] Generated Node #3: [67, 90] from Operation: 1980/22=90 Current State: 23:[67, 90], Operations: ['60*33=1980', '1980/22=90'] Exploring Operation: 90-67=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 16, 19, 30, 59 ]
12
[ "16*30=480", "59-19=40", "480/40=12" ]
Current State: 12:[16, 19, 30, 59], Operations: [] Exploring Operation: 16*30=480, Resulting Numbers: [19, 59, 480] Generated Node #2: [19, 59, 480] from Operation: 16*30=480 Current State: 12:[19, 59, 480], Operations: ['16*30=480'] Exploring Operation: 59-19=40, Resulting Numbers: [480, 40] Generated Node #3: [480, 40] from Operation: 59-19=40 Current State: 12:[480, 40], Operations: ['16*30=480', '59-19=40'] Exploring Operation: 480/40=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 13, 47, 65 ]
85
[ "90+13=103", "65-47=18", "103-18=85" ]
Current State: 85:[90, 13, 47, 65], Operations: [] Exploring Operation: 90+13=103, Resulting Numbers: [47, 65, 103] Generated Node #2: [47, 65, 103] from Operation: 90+13=103 Current State: 85:[47, 65, 103], Operations: ['90+13=103'] Exploring Operation: 65-47=18, Resulting Numbers: [103, 18] Generated Node #3: [103, 18] from Operation: 65-47=18 Current State: 85:[103, 18], Operations: ['90+13=103', '65-47=18'] Exploring Operation: 103-18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 44, 59, 16 ]
38
[ "59-57=2", "44/2=22", "16+22=38" ]
Current State: 38:[57, 44, 59, 16], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [44, 16, 2] Generated Node #2: [44, 16, 2] from Operation: 59-57=2 Current State: 38:[44, 16, 2], Operations: ['59-57=2'] Exploring Operation: 44/2=22, Resulting Numbers: [16, 22] Generated Node #3: [16, 22] from Operation: 44/2=22 Current State: 38:[16, 22], Operations: ['59-57=2', '44/2=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 47, 2, 15, 17 ]
30
[ "47-15=32", "32-17=15", "2*15=30" ]
Current State: 30:[47, 2, 15, 17], Operations: [] Exploring Operation: 47-15=32, Resulting Numbers: [2, 17, 32] Generated Node #2: [2, 17, 32] from Operation: 47-15=32 Current State: 30:[2, 17, 32], Operations: ['47-15=32'] Exploring Operation: 32-17=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 32-17=15 Current State: 30:[2, 15], Operations: ['47-15=32', '32-17=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 30, 97, 27 ]
56
[ "97-27=70", "24*70=1680", "1680/30=56" ]
Current State: 56:[24, 30, 97, 27], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [24, 30, 70] Generated Node #2: [24, 30, 70] from Operation: 97-27=70 Current State: 56:[24, 30, 70], Operations: ['97-27=70'] Exploring Operation: 24*70=1680, Resulting Numbers: [30, 1680] Generated Node #3: [30, 1680] from Operation: 24*70=1680 Current State: 56:[30, 1680], Operations: ['97-27=70', '24*70=1680'] Exploring Operation: 1680/30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 6, 64, 60 ]
22
[ "32-6=26", "64-60=4", "26-4=22" ]
Current State: 22:[32, 6, 64, 60], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [64, 60, 26] Generated Node #2: [64, 60, 26] from Operation: 32-6=26 Current State: 22:[64, 60, 26], Operations: ['32-6=26'] Exploring Operation: 64-60=4, Resulting Numbers: [26, 4] Generated Node #3: [26, 4] from Operation: 64-60=4 Current State: 22:[26, 4], Operations: ['32-6=26', '64-60=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 14, 14, 31 ]
31
[ "14-14=0", "36*0=0", "31+0=31" ]
Current State: 31:[36, 14, 14, 31], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [36, 31, 0] Generated Node #2: [36, 31, 0] from Operation: 14-14=0 Current State: 31:[36, 31, 0], Operations: ['14-14=0'] Exploring Operation: 36*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 36*0=0 Current State: 31:[31, 0], Operations: ['14-14=0', '36*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 91, 32, 89, 58 ]
74
[ "91-89=2", "32/2=16", "58+16=74" ]
Current State: 74:[91, 32, 89, 58], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [32, 58, 2] Generated Node #2: [32, 58, 2] from Operation: 91-89=2 Current State: 74:[32, 58, 2], Operations: ['91-89=2'] Exploring Operation: 32/2=16, Resulting Numbers: [58, 16] Generated Node #3: [58, 16] from Operation: 32/2=16 Current State: 74:[58, 16], Operations: ['91-89=2', '32/2=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 62, 77, 63, 12 ]
65
[ "63-62=1", "77-12=65", "1*65=65" ]
Current State: 65:[62, 77, 63, 12], Operations: [] Exploring Operation: 63-62=1, Resulting Numbers: [77, 12, 1] Generated Node #2: [77, 12, 1] from Operation: 63-62=1 Current State: 65:[77, 12, 1], Operations: ['63-62=1'] Exploring Operation: 77-12=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 77-12=65 Current State: 65:[1, 65], Operations: ['63-62=1', '77-12=65'] Exploring Operation: 1*65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 67, 15, 71, 60 ]
98
[ "71-60=11", "15*11=165", "165-67=98" ]
Current State: 98:[67, 15, 71, 60], Operations: [] Exploring Operation: 71-60=11, Resulting Numbers: [67, 15, 11] Generated Node #2: [67, 15, 11] from Operation: 71-60=11 Current State: 98:[67, 15, 11], Operations: ['71-60=11'] Exploring Operation: 15*11=165, Resulting Numbers: [67, 165] Generated Node #3: [67, 165] from Operation: 15*11=165 Current State: 98:[67, 165], Operations: ['71-60=11', '15*11=165'] Exploring Operation: 165-67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 92, 23, 80, 26 ]
61
[ "92+23=115", "80-26=54", "115-54=61" ]
Current State: 61:[92, 23, 80, 26], Operations: [] Exploring Operation: 92+23=115, Resulting Numbers: [80, 26, 115] Generated Node #2: [80, 26, 115] from Operation: 92+23=115 Current State: 61:[80, 26, 115], Operations: ['92+23=115'] Exploring Operation: 80-26=54, Resulting Numbers: [115, 54] Generated Node #3: [115, 54] from Operation: 80-26=54 Current State: 61:[115, 54], Operations: ['92+23=115', '80-26=54'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 17, 20, 4, 38 ]
89
[ "38-20=18", "4*18=72", "17+72=89" ]
Current State: 89:[17, 20, 4, 38], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [17, 4, 18] Generated Node #2: [17, 4, 18] from Operation: 38-20=18 Current State: 89:[17, 4, 18], Operations: ['38-20=18'] Exploring Operation: 4*18=72, Resulting Numbers: [17, 72] Generated Node #3: [17, 72] from Operation: 4*18=72 Current State: 89:[17, 72], Operations: ['38-20=18', '4*18=72'] Exploring Operation: 17+72=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 91, 82, 99 ]
29
[ "91-45=46", "99-82=17", "46-17=29" ]
Current State: 29:[45, 91, 82, 99], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [82, 99, 46] Generated Node #2: [82, 99, 46] from Operation: 91-45=46 Current State: 29:[82, 99, 46], Operations: ['91-45=46'] Exploring Operation: 99-82=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 99-82=17 Current State: 29:[46, 17], Operations: ['91-45=46', '99-82=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 97, 98, 58, 5 ]
53
[ "98-97=1", "58-5=53", "1*53=53" ]
Current State: 53:[97, 98, 58, 5], Operations: [] Exploring Operation: 98-97=1, Resulting Numbers: [58, 5, 1] Generated Node #2: [58, 5, 1] from Operation: 98-97=1 Current State: 53:[58, 5, 1], Operations: ['98-97=1'] Exploring Operation: 58-5=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 58-5=53 Current State: 53:[1, 53], Operations: ['98-97=1', '58-5=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 20, 98, 2 ]
81
[ "52-20=32", "98/2=49", "32+49=81" ]
Current State: 81:[52, 20, 98, 2], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [98, 2, 32] Generated Node #2: [98, 2, 32] from Operation: 52-20=32 Current State: 81:[98, 2, 32], Operations: ['52-20=32'] Exploring Operation: 98/2=49, Resulting Numbers: [32, 49] Generated Node #3: [32, 49] from Operation: 98/2=49 Current State: 81:[32, 49], Operations: ['52-20=32', '98/2=49'] Exploring Operation: 32+49=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 16, 68, 21, 47 ]
17
[ "68-21=47", "47/47=1", "16+1=17" ]
Current State: 17:[16, 68, 21, 47], Operations: [] Exploring Operation: 68-21=47, Resulting Numbers: [16, 47, 47] Generated Node #2: [16, 47, 47] from Operation: 68-21=47 Current State: 17:[16, 47, 47], Operations: ['68-21=47'] Exploring Operation: 47/47=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 47/47=1 Current State: 17:[16, 1], Operations: ['68-21=47', '47/47=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 32, 70, 41 ]
14
[ "65+32=97", "70+41=111", "111-97=14" ]
Current State: 14:[65, 32, 70, 41], Operations: [] Exploring Operation: 65+32=97, Resulting Numbers: [70, 41, 97] Generated Node #2: [70, 41, 97] from Operation: 65+32=97 Current State: 14:[70, 41, 97], Operations: ['65+32=97'] Exploring Operation: 70+41=111, Resulting Numbers: [97, 111] Generated Node #3: [97, 111] from Operation: 70+41=111 Current State: 14:[97, 111], Operations: ['65+32=97', '70+41=111'] Exploring Operation: 111-97=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 76, 31, 79 ]
71
[ "30*76=2280", "2280-79=2201", "2201/31=71" ]
Current State: 71:[30, 76, 31, 79], Operations: [] Exploring Operation: 30*76=2280, Resulting Numbers: [31, 79, 2280] Generated Node #2: [31, 79, 2280] from Operation: 30*76=2280 Current State: 71:[31, 79, 2280], Operations: ['30*76=2280'] Exploring Operation: 2280-79=2201, Resulting Numbers: [31, 2201] Generated Node #3: [31, 2201] from Operation: 2280-79=2201 Current State: 71:[31, 2201], Operations: ['30*76=2280', '2280-79=2201'] Exploring Operation: 2201/31=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 72, 18, 41, 69 ]
75
[ "41-18=23", "69/23=3", "72+3=75" ]
Current State: 75:[72, 18, 41, 69], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [72, 69, 23] Generated Node #2: [72, 69, 23] from Operation: 41-18=23 Current State: 75:[72, 69, 23], Operations: ['41-18=23'] Exploring Operation: 69/23=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 69/23=3 Current State: 75:[72, 3], Operations: ['41-18=23', '69/23=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 95, 38, 81, 7 ]
90
[ "95+81=176", "38*7=266", "266-176=90" ]
Current State: 90:[95, 38, 81, 7], Operations: [] Exploring Operation: 95+81=176, Resulting Numbers: [38, 7, 176] Generated Node #2: [38, 7, 176] from Operation: 95+81=176 Current State: 90:[38, 7, 176], Operations: ['95+81=176'] Exploring Operation: 38*7=266, Resulting Numbers: [176, 266] Generated Node #3: [176, 266] from Operation: 38*7=266 Current State: 90:[176, 266], Operations: ['95+81=176', '38*7=266'] Exploring Operation: 266-176=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 8, 15, 96 ]
43
[ "3*15=45", "96-8=88", "88-45=43" ]
Current State: 43:[3, 8, 15, 96], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [8, 96, 45] Generated Node #2: [8, 96, 45] from Operation: 3*15=45 Current State: 43:[8, 96, 45], Operations: ['3*15=45'] Exploring Operation: 96-8=88, Resulting Numbers: [45, 88] Generated Node #3: [45, 88] from Operation: 96-8=88 Current State: 43:[45, 88], Operations: ['3*15=45', '96-8=88'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 5, 99, 97, 4 ]
18
[ "5+4=9", "99-97=2", "9*2=18" ]
Current State: 18:[5, 99, 97, 4], Operations: [] Exploring Operation: 5+4=9, Resulting Numbers: [99, 97, 9] Generated Node #2: [99, 97, 9] from Operation: 5+4=9 Current State: 18:[99, 97, 9], Operations: ['5+4=9'] Exploring Operation: 99-97=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 99-97=2 Current State: 18:[9, 2], Operations: ['5+4=9', '99-97=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 45, 39, 59 ]
45
[ "39-39=0", "59*0=0", "45+0=45" ]
Current State: 45:[39, 45, 39, 59], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [45, 59, 0] Generated Node #2: [45, 59, 0] from Operation: 39-39=0 Current State: 45:[45, 59, 0], Operations: ['39-39=0'] Exploring Operation: 59*0=0, Resulting Numbers: [45, 0] Generated Node #3: [45, 0] from Operation: 59*0=0 Current State: 45:[45, 0], Operations: ['39-39=0', '59*0=0'] Exploring Operation: 45+0=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 35, 6, 59, 48 ]
66
[ "35+6=41", "59+48=107", "107-41=66" ]
Current State: 66:[35, 6, 59, 48], Operations: [] Exploring Operation: 35+6=41, Resulting Numbers: [59, 48, 41] Generated Node #2: [59, 48, 41] from Operation: 35+6=41 Current State: 66:[59, 48, 41], Operations: ['35+6=41'] Exploring Operation: 59+48=107, Resulting Numbers: [41, 107] Generated Node #3: [41, 107] from Operation: 59+48=107 Current State: 66:[41, 107], Operations: ['35+6=41', '59+48=107'] Exploring Operation: 107-41=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 77, 11, 32, 36 ]
33
[ "36-32=4", "11*4=44", "77-44=33" ]
Current State: 33:[77, 11, 32, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [77, 11, 4] Generated Node #2: [77, 11, 4] from Operation: 36-32=4 Current State: 33:[77, 11, 4], Operations: ['36-32=4'] Exploring Operation: 11*4=44, Resulting Numbers: [77, 44] Generated Node #3: [77, 44] from Operation: 11*4=44 Current State: 33:[77, 44], Operations: ['36-32=4', '11*4=44'] Exploring Operation: 77-44=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 41, 32, 76, 42 ]
25
[ "41-32=9", "76-42=34", "34-9=25" ]
Current State: 25:[41, 32, 76, 42], Operations: [] Exploring Operation: 41-32=9, Resulting Numbers: [76, 42, 9] Generated Node #2: [76, 42, 9] from Operation: 41-32=9 Current State: 25:[76, 42, 9], Operations: ['41-32=9'] Exploring Operation: 76-42=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 76-42=34 Current State: 25:[9, 34], Operations: ['41-32=9', '76-42=34'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 48, 4, 21 ]
41
[ "63/21=3", "48-4=44", "44-3=41" ]
Current State: 41:[63, 48, 4, 21], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [48, 4, 3] Generated Node #2: [48, 4, 3] from Operation: 63/21=3 Current State: 41:[48, 4, 3], Operations: ['63/21=3'] Exploring Operation: 48-4=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 48-4=44 Current State: 41:[3, 44], Operations: ['63/21=3', '48-4=44'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 95, 18, 61, 94 ]
80
[ "95+18=113", "94-61=33", "113-33=80" ]
Current State: 80:[95, 18, 61, 94], Operations: [] Exploring Operation: 95+18=113, Resulting Numbers: [61, 94, 113] Generated Node #2: [61, 94, 113] from Operation: 95+18=113 Current State: 80:[61, 94, 113], Operations: ['95+18=113'] Exploring Operation: 94-61=33, Resulting Numbers: [113, 33] Generated Node #3: [113, 33] from Operation: 94-61=33 Current State: 80:[113, 33], Operations: ['95+18=113', '94-61=33'] Exploring Operation: 113-33=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 70, 42, 42 ]
67
[ "42-28=14", "42/14=3", "70-3=67" ]
Current State: 67:[28, 70, 42, 42], Operations: [] Exploring Operation: 42-28=14, Resulting Numbers: [70, 14] Generated Node #2: [70, 14] from Operation: 42-28=14 Current State: 67:[70, 14], Operations: ['42-28=14'] Exploring Operation: 42/14=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 42/14=3 Current State: 67:[70, 3], Operations: ['42-28=14', '42/14=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 11, 26, 67, 87 ]
17
[ "11+26=37", "87-67=20", "37-20=17" ]
Current State: 17:[11, 26, 67, 87], Operations: [] Exploring Operation: 11+26=37, Resulting Numbers: [67, 87, 37] Generated Node #2: [67, 87, 37] from Operation: 11+26=37 Current State: 17:[67, 87, 37], Operations: ['11+26=37'] Exploring Operation: 87-67=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 87-67=20 Current State: 17:[37, 20], Operations: ['11+26=37', '87-67=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 89, 14, 38, 30 ]
23
[ "38-30=8", "14*8=112", "112-89=23" ]
Current State: 23:[89, 14, 38, 30], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [89, 14, 8] Generated Node #2: [89, 14, 8] from Operation: 38-30=8 Current State: 23:[89, 14, 8], Operations: ['38-30=8'] Exploring Operation: 14*8=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 14*8=112 Current State: 23:[89, 112], Operations: ['38-30=8', '14*8=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 14, 35, 42, 44 ]
82
[ "42/14=3", "35+44=79", "3+79=82" ]
Current State: 82:[14, 35, 42, 44], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [35, 44, 3] Generated Node #2: [35, 44, 3] from Operation: 42/14=3 Current State: 82:[35, 44, 3], Operations: ['42/14=3'] Exploring Operation: 35+44=79, Resulting Numbers: [3, 79] Generated Node #3: [3, 79] from Operation: 35+44=79 Current State: 82:[3, 79], Operations: ['42/14=3', '35+44=79'] Exploring Operation: 3+79=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 37, 33, 22 ]
20
[ "72-37=35", "33+22=55", "55-35=20" ]
Current State: 20:[72, 37, 33, 22], Operations: [] Exploring Operation: 72-37=35, Resulting Numbers: [33, 22, 35] Generated Node #2: [33, 22, 35] from Operation: 72-37=35 Current State: 20:[33, 22, 35], Operations: ['72-37=35'] Exploring Operation: 33+22=55, Resulting Numbers: [35, 55] Generated Node #3: [35, 55] from Operation: 33+22=55 Current State: 20:[35, 55], Operations: ['72-37=35', '33+22=55'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 57, 12, 7 ]
36
[ "12/4=3", "7*3=21", "57-21=36" ]
Current State: 36:[4, 57, 12, 7], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [57, 7, 3] Generated Node #2: [57, 7, 3] from Operation: 12/4=3 Current State: 36:[57, 7, 3], Operations: ['12/4=3'] Exploring Operation: 7*3=21, Resulting Numbers: [57, 21] Generated Node #3: [57, 21] from Operation: 7*3=21 Current State: 36:[57, 21], Operations: ['12/4=3', '7*3=21'] Exploring Operation: 57-21=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 91, 91, 65 ]
52
[ "2*65=130", "91+91=182", "182-130=52" ]
Current State: 52:[2, 91, 91, 65], Operations: [] Exploring Operation: 2*65=130, Resulting Numbers: [91, 91, 130] Generated Node #2: [91, 91, 130] from Operation: 2*65=130 Current State: 52:[91, 91, 130], Operations: ['2*65=130'] Exploring Operation: 91+91=182, Resulting Numbers: [130, 182] Generated Node #3: [130, 182] from Operation: 91+91=182 Current State: 52:[130, 182], Operations: ['2*65=130', '91+91=182'] Exploring Operation: 182-130=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 70, 1, 55, 37 ]
87
[ "70-1=69", "55-37=18", "69+18=87" ]
Current State: 87:[70, 1, 55, 37], Operations: [] Exploring Operation: 70-1=69, Resulting Numbers: [55, 37, 69] Generated Node #2: [55, 37, 69] from Operation: 70-1=69 Current State: 87:[55, 37, 69], Operations: ['70-1=69'] Exploring Operation: 55-37=18, Resulting Numbers: [69, 18] Generated Node #3: [69, 18] from Operation: 55-37=18 Current State: 87:[69, 18], Operations: ['70-1=69', '55-37=18'] Exploring Operation: 69+18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 36, 44, 2, 7 ]
75
[ "36+44=80", "7-2=5", "80-5=75" ]
Current State: 75:[36, 44, 2, 7], Operations: [] Exploring Operation: 36+44=80, Resulting Numbers: [2, 7, 80] Generated Node #2: [2, 7, 80] from Operation: 36+44=80 Current State: 75:[2, 7, 80], Operations: ['36+44=80'] Exploring Operation: 7-2=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 7-2=5 Current State: 75:[80, 5], Operations: ['36+44=80', '7-2=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 28, 38, 59 ]
22
[ "45*28=1260", "38+1260=1298", "1298/59=22" ]
Current State: 22:[45, 28, 38, 59], Operations: [] Exploring Operation: 45*28=1260, Resulting Numbers: [38, 59, 1260] Generated Node #2: [38, 59, 1260] from Operation: 45*28=1260 Current State: 22:[38, 59, 1260], Operations: ['45*28=1260'] Exploring Operation: 38+1260=1298, Resulting Numbers: [59, 1298] Generated Node #3: [59, 1298] from Operation: 38+1260=1298 Current State: 22:[59, 1298], Operations: ['45*28=1260', '38+1260=1298'] Exploring Operation: 1298/59=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 13, 28, 45 ]
31
[ "13-11=2", "28/2=14", "45-14=31" ]
Current State: 31:[11, 13, 28, 45], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [28, 45, 2] Generated Node #2: [28, 45, 2] from Operation: 13-11=2 Current State: 31:[28, 45, 2], Operations: ['13-11=2'] Exploring Operation: 28/2=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 28/2=14 Current State: 31:[45, 14], Operations: ['13-11=2', '28/2=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 16, 24, 62 ]
44
[ "27*16=432", "432/24=18", "62-18=44" ]
Current State: 44:[27, 16, 24, 62], Operations: [] Exploring Operation: 27*16=432, Resulting Numbers: [24, 62, 432] Generated Node #2: [24, 62, 432] from Operation: 27*16=432 Current State: 44:[24, 62, 432], Operations: ['27*16=432'] Exploring Operation: 432/24=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 432/24=18 Current State: 44:[62, 18], Operations: ['27*16=432', '432/24=18'] Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 16, 96, 55 ]
78
[ "96/48=2", "55-16=39", "2*39=78" ]
Current State: 78:[48, 16, 96, 55], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [16, 55, 2] Generated Node #2: [16, 55, 2] from Operation: 96/48=2 Current State: 78:[16, 55, 2], Operations: ['96/48=2'] Exploring Operation: 55-16=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 55-16=39 Current State: 78:[2, 39], Operations: ['96/48=2', '55-16=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 22, 43, 8, 70 ]
63
[ "22*8=176", "43+70=113", "176-113=63" ]
Current State: 63:[22, 43, 8, 70], Operations: [] Exploring Operation: 22*8=176, Resulting Numbers: [43, 70, 176] Generated Node #2: [43, 70, 176] from Operation: 22*8=176 Current State: 63:[43, 70, 176], Operations: ['22*8=176'] Exploring Operation: 43+70=113, Resulting Numbers: [176, 113] Generated Node #3: [176, 113] from Operation: 43+70=113 Current State: 63:[176, 113], Operations: ['22*8=176', '43+70=113'] Exploring Operation: 176-113=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 67, 52, 34 ]
13
[ "69+67=136", "52*34=1768", "1768/136=13" ]
Current State: 13:[69, 67, 52, 34], Operations: [] Exploring Operation: 69+67=136, Resulting Numbers: [52, 34, 136] Generated Node #2: [52, 34, 136] from Operation: 69+67=136 Current State: 13:[52, 34, 136], Operations: ['69+67=136'] Exploring Operation: 52*34=1768, Resulting Numbers: [136, 1768] Generated Node #3: [136, 1768] from Operation: 52*34=1768 Current State: 13:[136, 1768], Operations: ['69+67=136', '52*34=1768'] Exploring Operation: 1768/136=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 92, 74, 53 ]
44
[ "92-9=83", "74+53=127", "127-83=44" ]
Current State: 44:[9, 92, 74, 53], Operations: [] Exploring Operation: 92-9=83, Resulting Numbers: [74, 53, 83] Generated Node #2: [74, 53, 83] from Operation: 92-9=83 Current State: 44:[74, 53, 83], Operations: ['92-9=83'] Exploring Operation: 74+53=127, Resulting Numbers: [83, 127] Generated Node #3: [83, 127] from Operation: 74+53=127 Current State: 44:[83, 127], Operations: ['92-9=83', '74+53=127'] Exploring Operation: 127-83=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 69, 62, 31, 98 ]
64
[ "69+62=131", "98-31=67", "131-67=64" ]
Current State: 64:[69, 62, 31, 98], Operations: [] Exploring Operation: 69+62=131, Resulting Numbers: [31, 98, 131] Generated Node #2: [31, 98, 131] from Operation: 69+62=131 Current State: 64:[31, 98, 131], Operations: ['69+62=131'] Exploring Operation: 98-31=67, Resulting Numbers: [131, 67] Generated Node #3: [131, 67] from Operation: 98-31=67 Current State: 64:[131, 67], Operations: ['69+62=131', '98-31=67'] Exploring Operation: 131-67=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 92, 7, 33 ]
45
[ "92-8=84", "84/7=12", "33+12=45" ]
Current State: 45:[8, 92, 7, 33], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [7, 33, 84] Generated Node #2: [7, 33, 84] from Operation: 92-8=84 Current State: 45:[7, 33, 84], Operations: ['92-8=84'] Exploring Operation: 84/7=12, Resulting Numbers: [33, 12] Generated Node #3: [33, 12] from Operation: 84/7=12 Current State: 45:[33, 12], Operations: ['92-8=84', '84/7=12'] Exploring Operation: 33+12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 42, 90, 96, 46 ]
48
[ "90-42=48", "96/48=2", "46+2=48" ]
Current State: 48:[42, 90, 96, 46], Operations: [] Exploring Operation: 90-42=48, Resulting Numbers: [96, 46, 48] Generated Node #2: [96, 46, 48] from Operation: 90-42=48 Current State: 48:[96, 46, 48], Operations: ['90-42=48'] Exploring Operation: 96/48=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 96/48=2 Current State: 48:[46, 2], Operations: ['90-42=48', '96/48=2'] Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 31, 52, 5, 7 ]
73
[ "7-5=2", "52*2=104", "104-31=73" ]
Current State: 73:[31, 52, 5, 7], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [31, 52, 2] Generated Node #2: [31, 52, 2] from Operation: 7-5=2 Current State: 73:[31, 52, 2], Operations: ['7-5=2'] Exploring Operation: 52*2=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 52*2=104 Current State: 73:[31, 104], Operations: ['7-5=2', '52*2=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 28, 23, 36 ]
25
[ "20+36=56", "56/28=2", "23+2=25" ]
Current State: 25:[20, 28, 23, 36], Operations: [] Exploring Operation: 20+36=56, Resulting Numbers: [28, 23, 56] Generated Node #2: [28, 23, 56] from Operation: 20+36=56 Current State: 25:[28, 23, 56], Operations: ['20+36=56'] Exploring Operation: 56/28=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 56/28=2 Current State: 25:[23, 2], Operations: ['20+36=56', '56/28=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 7, 86, 93 ]
97
[ "86-58=28", "28/7=4", "93+4=97" ]
Current State: 97:[58, 7, 86, 93], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [7, 93, 28] Generated Node #2: [7, 93, 28] from Operation: 86-58=28 Current State: 97:[7, 93, 28], Operations: ['86-58=28'] Exploring Operation: 28/7=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 28/7=4 Current State: 97:[93, 4], Operations: ['86-58=28', '28/7=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 88, 24, 75 ]
46
[ "57+88=145", "24+75=99", "145-99=46" ]
Current State: 46:[57, 88, 24, 75], Operations: [] Exploring Operation: 57+88=145, Resulting Numbers: [24, 75, 145] Generated Node #2: [24, 75, 145] from Operation: 57+88=145 Current State: 46:[24, 75, 145], Operations: ['57+88=145'] Exploring Operation: 24+75=99, Resulting Numbers: [145, 99] Generated Node #3: [145, 99] from Operation: 24+75=99 Current State: 46:[145, 99], Operations: ['57+88=145', '24+75=99'] Exploring Operation: 145-99=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 7, 1, 30 ]
55
[ "32-7=25", "1*30=30", "25+30=55" ]
Current State: 55:[32, 7, 1, 30], Operations: [] Exploring Operation: 32-7=25, Resulting Numbers: [1, 30, 25] Generated Node #2: [1, 30, 25] from Operation: 32-7=25 Current State: 55:[1, 30, 25], Operations: ['32-7=25'] Exploring Operation: 1*30=30, Resulting Numbers: [25, 30] Generated Node #3: [25, 30] from Operation: 1*30=30 Current State: 55:[25, 30], Operations: ['32-7=25', '1*30=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 23, 55, 7 ]
88
[ "3+23=26", "55+7=62", "26+62=88" ]
Current State: 88:[3, 23, 55, 7], Operations: [] Exploring Operation: 3+23=26, Resulting Numbers: [55, 7, 26] Generated Node #2: [55, 7, 26] from Operation: 3+23=26 Current State: 88:[55, 7, 26], Operations: ['3+23=26'] Exploring Operation: 55+7=62, Resulting Numbers: [26, 62] Generated Node #3: [26, 62] from Operation: 55+7=62 Current State: 88:[26, 62], Operations: ['3+23=26', '55+7=62'] Exploring Operation: 26+62=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 41, 4, 74, 74 ]
41
[ "74-74=0", "4*0=0", "41+0=41" ]
Current State: 41:[41, 4, 74, 74], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [41, 4, 0] Generated Node #2: [41, 4, 0] from Operation: 74-74=0 Current State: 41:[41, 4, 0], Operations: ['74-74=0'] Exploring Operation: 4*0=0, Resulting Numbers: [41, 0] Generated Node #3: [41, 0] from Operation: 4*0=0 Current State: 41:[41, 0], Operations: ['74-74=0', '4*0=0'] Exploring Operation: 41+0=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 50, 26, 55 ]
94
[ "75*26=1950", "1950/50=39", "55+39=94" ]
Current State: 94:[75, 50, 26, 55], Operations: [] Exploring Operation: 75*26=1950, Resulting Numbers: [50, 55, 1950] Generated Node #2: [50, 55, 1950] from Operation: 75*26=1950 Current State: 94:[50, 55, 1950], Operations: ['75*26=1950'] Exploring Operation: 1950/50=39, Resulting Numbers: [55, 39] Generated Node #3: [55, 39] from Operation: 1950/50=39 Current State: 94:[55, 39], Operations: ['75*26=1950', '1950/50=39'] Exploring Operation: 55+39=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 22, 80, 44, 71 ]
89
[ "44/22=2", "80*2=160", "160-71=89" ]
Current State: 89:[22, 80, 44, 71], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [80, 71, 2] Generated Node #2: [80, 71, 2] from Operation: 44/22=2 Current State: 89:[80, 71, 2], Operations: ['44/22=2'] Exploring Operation: 80*2=160, Resulting Numbers: [71, 160] Generated Node #3: [71, 160] from Operation: 80*2=160 Current State: 89:[71, 160], Operations: ['44/22=2', '80*2=160'] Exploring Operation: 160-71=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 81, 94, 27 ]
52
[ "62+94=156", "81/27=3", "156/3=52" ]
Current State: 52:[62, 81, 94, 27], Operations: [] Exploring Operation: 62+94=156, Resulting Numbers: [81, 27, 156] Generated Node #2: [81, 27, 156] from Operation: 62+94=156 Current State: 52:[81, 27, 156], Operations: ['62+94=156'] Exploring Operation: 81/27=3, Resulting Numbers: [156, 3] Generated Node #3: [156, 3] from Operation: 81/27=3 Current State: 52:[156, 3], Operations: ['62+94=156', '81/27=3'] Exploring Operation: 156/3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 3, 8, 1 ]
69
[ "9*8=72", "3*1=3", "72-3=69" ]
Current State: 69:[9, 3, 8, 1], Operations: [] Exploring Operation: 9*8=72, Resulting Numbers: [3, 1, 72] Generated Node #2: [3, 1, 72] from Operation: 9*8=72 Current State: 69:[3, 1, 72], Operations: ['9*8=72'] Exploring Operation: 3*1=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 3*1=3 Current State: 69:[72, 3], Operations: ['9*8=72', '3*1=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 32, 55, 33 ]
53
[ "3+32=35", "55+33=88", "88-35=53" ]
Current State: 53:[3, 32, 55, 33], Operations: [] Exploring Operation: 3+32=35, Resulting Numbers: [55, 33, 35] Generated Node #2: [55, 33, 35] from Operation: 3+32=35 Current State: 53:[55, 33, 35], Operations: ['3+32=35'] Exploring Operation: 55+33=88, Resulting Numbers: [35, 88] Generated Node #3: [35, 88] from Operation: 55+33=88 Current State: 53:[35, 88], Operations: ['3+32=35', '55+33=88'] Exploring Operation: 88-35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 64, 25, 90, 74 ]
75
[ "64+25=89", "90+74=164", "164-89=75" ]
Current State: 75:[64, 25, 90, 74], Operations: [] Exploring Operation: 64+25=89, Resulting Numbers: [90, 74, 89] Generated Node #2: [90, 74, 89] from Operation: 64+25=89 Current State: 75:[90, 74, 89], Operations: ['64+25=89'] Exploring Operation: 90+74=164, Resulting Numbers: [89, 164] Generated Node #3: [89, 164] from Operation: 90+74=164 Current State: 75:[89, 164], Operations: ['64+25=89', '90+74=164'] Exploring Operation: 164-89=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 68, 26, 69, 16 ]
10
[ "69-68=1", "26-16=10", "1*10=10" ]
Current State: 10:[68, 26, 69, 16], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [26, 16, 1] Generated Node #2: [26, 16, 1] from Operation: 69-68=1 Current State: 10:[26, 16, 1], Operations: ['69-68=1'] Exploring Operation: 26-16=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 26-16=10 Current State: 10:[1, 10], Operations: ['69-68=1', '26-16=10'] Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 34, 96, 17, 5 ]
89
[ "34/17=2", "96-5=91", "91-2=89" ]
Current State: 89:[34, 96, 17, 5], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [96, 5, 2] Generated Node #2: [96, 5, 2] from Operation: 34/17=2 Current State: 89:[96, 5, 2], Operations: ['34/17=2'] Exploring Operation: 96-5=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 96-5=91 Current State: 89:[2, 91], Operations: ['34/17=2', '96-5=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 53, 68, 55 ]
84
[ "55-53=2", "68/2=34", "50+34=84" ]
Current State: 84:[50, 53, 68, 55], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [50, 68, 2] Generated Node #2: [50, 68, 2] from Operation: 55-53=2 Current State: 84:[50, 68, 2], Operations: ['55-53=2'] Exploring Operation: 68/2=34, Resulting Numbers: [50, 34] Generated Node #3: [50, 34] from Operation: 68/2=34 Current State: 84:[50, 34], Operations: ['55-53=2', '68/2=34'] Exploring Operation: 50+34=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 92, 2, 57, 92 ]
22
[ "92-57=35", "2*35=70", "92-70=22" ]
Current State: 22:[92, 2, 57, 92], Operations: [] Exploring Operation: 92-57=35, Resulting Numbers: [2, 35] Generated Node #2: [2, 35] from Operation: 92-57=35 Current State: 22:[2, 35], Operations: ['92-57=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,22 equal: Goal Reached Exploring Operation: 92-70=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 18, 47, 9 ]
94
[ "54*47=2538", "18+9=27", "2538/27=94" ]
Current State: 94:[54, 18, 47, 9], Operations: [] Exploring Operation: 54*47=2538, Resulting Numbers: [18, 9, 2538] Generated Node #2: [18, 9, 2538] from Operation: 54*47=2538 Current State: 94:[18, 9, 2538], Operations: ['54*47=2538'] Exploring Operation: 18+9=27, Resulting Numbers: [2538, 27] Generated Node #3: [2538, 27] from Operation: 18+9=27 Current State: 94:[2538, 27], Operations: ['54*47=2538', '18+9=27'] Exploring Operation: 2538/27=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 3, 22, 72, 13 ]
99
[ "3+13=16", "22*72=1584", "1584/16=99" ]
Current State: 99:[3, 22, 72, 13], Operations: [] Exploring Operation: 3+13=16, Resulting Numbers: [22, 72, 16] Generated Node #2: [22, 72, 16] from Operation: 3+13=16 Current State: 99:[22, 72, 16], Operations: ['3+13=16'] Exploring Operation: 22*72=1584, Resulting Numbers: [16, 1584] Generated Node #3: [16, 1584] from Operation: 22*72=1584 Current State: 99:[16, 1584], Operations: ['3+13=16', '22*72=1584'] Exploring Operation: 1584/16=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 15, 74, 6, 57 ]
26
[ "15+74=89", "6+57=63", "89-63=26" ]
Current State: 26:[15, 74, 6, 57], Operations: [] Exploring Operation: 15+74=89, Resulting Numbers: [6, 57, 89] Generated Node #2: [6, 57, 89] from Operation: 15+74=89 Current State: 26:[6, 57, 89], Operations: ['15+74=89'] Exploring Operation: 6+57=63, Resulting Numbers: [89, 63] Generated Node #3: [89, 63] from Operation: 6+57=63 Current State: 26:[89, 63], Operations: ['15+74=89', '6+57=63'] Exploring Operation: 89-63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 96, 18, 57 ]
52
[ "96-5=91", "57-18=39", "91-39=52" ]
Current State: 52:[5, 96, 18, 57], Operations: [] Exploring Operation: 96-5=91, Resulting Numbers: [18, 57, 91] Generated Node #2: [18, 57, 91] from Operation: 96-5=91 Current State: 52:[18, 57, 91], Operations: ['96-5=91'] Exploring Operation: 57-18=39, Resulting Numbers: [91, 39] Generated Node #3: [91, 39] from Operation: 57-18=39 Current State: 52:[91, 39], Operations: ['96-5=91', '57-18=39'] Exploring Operation: 91-39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 31, 86, 24 ]
66
[ "35-31=4", "86-24=62", "4+62=66" ]
Current State: 66:[35, 31, 86, 24], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [86, 24, 4] Generated Node #2: [86, 24, 4] from Operation: 35-31=4 Current State: 66:[86, 24, 4], Operations: ['35-31=4'] Exploring Operation: 86-24=62, Resulting Numbers: [4, 62] Generated Node #3: [4, 62] from Operation: 86-24=62 Current State: 66:[4, 62], Operations: ['35-31=4', '86-24=62'] Exploring Operation: 4+62=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4