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
[ 44, 35, 90, 31 ]
50
[ "44-35=9", "90-31=59", "59-9=50" ]
Current State: 50:[44, 35, 90, 31], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [90, 31, 9] Generated Node #2: [90, 31, 9] from Operation: 44-35=9 Current State: 50:[90, 31, 9], Operations: ['44-35=9'] Exploring Operation: 90-31=59, Resulting Numbers: [9, 59] Generated Node #3: [9, 59] from Operation: 90-31=59 Current State: 50:[9, 59], Operations: ['44-35=9', '90-31=59'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 96, 68, 44, 27 ]
24
[ "44-27=17", "96*17=1632", "1632/68=24" ]
Current State: 24:[96, 68, 44, 27], Operations: [] Exploring Operation: 44-27=17, Resulting Numbers: [96, 68, 17] Generated Node #2: [96, 68, 17] from Operation: 44-27=17 Current State: 24:[96, 68, 17], Operations: ['44-27=17'] Exploring Operation: 96*17=1632, Resulting Numbers: [68, 1632] Generated Node #3: [68, 1632] from Operation: 96*17=1632 Current State: 24:[68, 1632], Operations: ['44-27=17', '96*17=1632'] Exploring Operation: 1632/68=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 67, 43, 51 ]
60
[ "67-15=52", "51-43=8", "52+8=60" ]
Current State: 60:[15, 67, 43, 51], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [43, 51, 52] Generated Node #2: [43, 51, 52] from Operation: 67-15=52 Current State: 60:[43, 51, 52], Operations: ['67-15=52'] Exploring Operation: 51-43=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 51-43=8 Current State: 60:[52, 8], Operations: ['67-15=52', '51-43=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 51, 13, 9, 6 ]
79
[ "51+13=64", "9+6=15", "64+15=79" ]
Current State: 79:[51, 13, 9, 6], Operations: [] Exploring Operation: 51+13=64, Resulting Numbers: [9, 6, 64] Generated Node #2: [9, 6, 64] from Operation: 51+13=64 Current State: 79:[9, 6, 64], Operations: ['51+13=64'] Exploring Operation: 9+6=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 9+6=15 Current State: 79:[64, 15], Operations: ['51+13=64', '9+6=15'] Exploring Operation: 64+15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 82, 4, 41, 88 ]
19
[ "82-41=41", "88/4=22", "41-22=19" ]
Current State: 19:[82, 4, 41, 88], Operations: [] Exploring Operation: 82-41=41, Resulting Numbers: [4, 88, 41] Generated Node #2: [4, 88, 41] from Operation: 82-41=41 Current State: 19:[4, 88, 41], Operations: ['82-41=41'] Exploring Operation: 88/4=22, Resulting Numbers: [41, 22] Generated Node #3: [41, 22] from Operation: 88/4=22 Current State: 19:[41, 22], Operations: ['82-41=41', '88/4=22'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 77, 11, 19, 48 ]
60
[ "77/11=7", "19+48=67", "67-7=60" ]
Current State: 60:[77, 11, 19, 48], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [19, 48, 7] Generated Node #2: [19, 48, 7] from Operation: 77/11=7 Current State: 60:[19, 48, 7], Operations: ['77/11=7'] Exploring Operation: 19+48=67, Resulting Numbers: [7, 67] Generated Node #3: [7, 67] from Operation: 19+48=67 Current State: 60:[7, 67], Operations: ['77/11=7', '19+48=67'] Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 88, 39, 35 ]
35
[ "21+88=109", "39+35=74", "109-74=35" ]
Current State: 35:[21, 88, 39, 35], Operations: [] Exploring Operation: 21+88=109, Resulting Numbers: [39, 35, 109] Generated Node #2: [39, 35, 109] from Operation: 21+88=109 Current State: 35:[39, 35, 109], Operations: ['21+88=109'] Exploring Operation: 39+35=74, Resulting Numbers: [109, 74] Generated Node #3: [109, 74] from Operation: 39+35=74 Current State: 35:[109, 74], Operations: ['21+88=109', '39+35=74'] Exploring Operation: 109-74=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 30, 26, 1, 28 ]
85
[ "30+26=56", "1+28=29", "56+29=85" ]
Current State: 85:[30, 26, 1, 28], Operations: [] Exploring Operation: 30+26=56, Resulting Numbers: [1, 28, 56] Generated Node #2: [1, 28, 56] from Operation: 30+26=56 Current State: 85:[1, 28, 56], Operations: ['30+26=56'] Exploring Operation: 1+28=29, Resulting Numbers: [56, 29] Generated Node #3: [56, 29] from Operation: 1+28=29 Current State: 85:[56, 29], Operations: ['30+26=56', '1+28=29'] Exploring Operation: 56+29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 74, 88, 62 ]
23
[ "88/8=11", "74-62=12", "11+12=23" ]
Current State: 23:[8, 74, 88, 62], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [74, 62, 11] Generated Node #2: [74, 62, 11] from Operation: 88/8=11 Current State: 23:[74, 62, 11], Operations: ['88/8=11'] Exploring Operation: 74-62=12, Resulting Numbers: [11, 12] Generated Node #3: [11, 12] from Operation: 74-62=12 Current State: 23:[11, 12], Operations: ['88/8=11', '74-62=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 1, 85, 10, 4 ]
87
[ "1+4=5", "10/5=2", "85+2=87" ]
Current State: 87:[1, 85, 10, 4], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [85, 10, 5] Generated Node #2: [85, 10, 5] from Operation: 1+4=5 Current State: 87:[85, 10, 5], Operations: ['1+4=5'] Exploring Operation: 10/5=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 10/5=2 Current State: 87:[85, 2], Operations: ['1+4=5', '10/5=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 92, 86, 86 ]
68
[ "92-86=6", "3*6=18", "86-18=68" ]
Current State: 68:[3, 92, 86, 86], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [3, 6] Generated Node #2: [3, 6] from Operation: 92-86=6 Current State: 68:[3, 6], Operations: ['92-86=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,68 equal: Goal Reached Exploring Operation: 86-18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 24, 22, 40 ]
43
[ "24-5=19", "22+40=62", "62-19=43" ]
Current State: 43:[5, 24, 22, 40], Operations: [] Exploring Operation: 24-5=19, Resulting Numbers: [22, 40, 19] Generated Node #2: [22, 40, 19] from Operation: 24-5=19 Current State: 43:[22, 40, 19], Operations: ['24-5=19'] Exploring Operation: 22+40=62, Resulting Numbers: [19, 62] Generated Node #3: [19, 62] from Operation: 22+40=62 Current State: 43:[19, 62], Operations: ['24-5=19', '22+40=62'] Exploring Operation: 62-19=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 53, 32, 2, 6 ]
13
[ "53-32=21", "2+6=8", "21-8=13" ]
Current State: 13:[53, 32, 2, 6], Operations: [] Exploring Operation: 53-32=21, Resulting Numbers: [2, 6, 21] Generated Node #2: [2, 6, 21] from Operation: 53-32=21 Current State: 13:[2, 6, 21], Operations: ['53-32=21'] Exploring Operation: 2+6=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 2+6=8 Current State: 13:[21, 8], Operations: ['53-32=21', '2+6=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 72, 20, 37, 15 ]
59
[ "72*20=1440", "1440/15=96", "96-37=59" ]
Current State: 59:[72, 20, 37, 15], Operations: [] Exploring Operation: 72*20=1440, Resulting Numbers: [37, 15, 1440] Generated Node #2: [37, 15, 1440] from Operation: 72*20=1440 Current State: 59:[37, 15, 1440], Operations: ['72*20=1440'] Exploring Operation: 1440/15=96, Resulting Numbers: [37, 96] Generated Node #3: [37, 96] from Operation: 1440/15=96 Current State: 59:[37, 96], Operations: ['72*20=1440', '1440/15=96'] Exploring Operation: 96-37=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 62, 87, 4 ]
84
[ "4+62=66", "87-66=21", "4*21=84" ]
Current State: 84:[4, 62, 87, 4], Operations: [] Exploring Operation: 4+62=66, Resulting Numbers: [87, 66] Generated Node #2: [87, 66] from Operation: 4+62=66 Current State: 84:[87, 66], Operations: ['4+62=66'] Exploring Operation: 87-66=21, Resulting Numbers: [21] 21,84 equal: Goal Reached Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 24, 19, 40, 16 ]
46
[ "19*40=760", "760-24=736", "736/16=46" ]
Current State: 46:[24, 19, 40, 16], Operations: [] Exploring Operation: 19*40=760, Resulting Numbers: [24, 16, 760] Generated Node #2: [24, 16, 760] from Operation: 19*40=760 Current State: 46:[24, 16, 760], Operations: ['19*40=760'] Exploring Operation: 760-24=736, Resulting Numbers: [16, 736] Generated Node #3: [16, 736] from Operation: 760-24=736 Current State: 46:[16, 736], Operations: ['19*40=760', '760-24=736'] Exploring Operation: 736/16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 44, 39, 64, 73 ]
84
[ "44*73=3212", "64+3212=3276", "3276/39=84" ]
Current State: 84:[44, 39, 64, 73], Operations: [] Exploring Operation: 44*73=3212, Resulting Numbers: [39, 64, 3212] Generated Node #2: [39, 64, 3212] from Operation: 44*73=3212 Current State: 84:[39, 64, 3212], Operations: ['44*73=3212'] Exploring Operation: 64+3212=3276, Resulting Numbers: [39, 3276] Generated Node #3: [39, 3276] from Operation: 64+3212=3276 Current State: 84:[39, 3276], Operations: ['44*73=3212', '64+3212=3276'] Exploring Operation: 3276/39=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 26, 89, 94 ]
71
[ "50+26=76", "94-89=5", "76-5=71" ]
Current State: 71:[50, 26, 89, 94], Operations: [] Exploring Operation: 50+26=76, Resulting Numbers: [89, 94, 76] Generated Node #2: [89, 94, 76] from Operation: 50+26=76 Current State: 71:[89, 94, 76], Operations: ['50+26=76'] Exploring Operation: 94-89=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 94-89=5 Current State: 71:[76, 5], Operations: ['50+26=76', '94-89=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 2, 39, 38 ]
88
[ "91-2=89", "39-38=1", "89-1=88" ]
Current State: 88:[91, 2, 39, 38], Operations: [] Exploring Operation: 91-2=89, Resulting Numbers: [39, 38, 89] Generated Node #2: [39, 38, 89] from Operation: 91-2=89 Current State: 88:[39, 38, 89], Operations: ['91-2=89'] Exploring Operation: 39-38=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 39-38=1 Current State: 88:[89, 1], Operations: ['91-2=89', '39-38=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 21, 98, 95, 71 ]
78
[ "98-95=3", "21/3=7", "71+7=78" ]
Current State: 78:[21, 98, 95, 71], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [21, 71, 3] Generated Node #2: [21, 71, 3] from Operation: 98-95=3 Current State: 78:[21, 71, 3], Operations: ['98-95=3'] Exploring Operation: 21/3=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 21/3=7 Current State: 78:[71, 7], Operations: ['98-95=3', '21/3=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 99, 55, 20, 76 ]
12
[ "99-55=44", "76-20=56", "56-44=12" ]
Current State: 12:[99, 55, 20, 76], Operations: [] Exploring Operation: 99-55=44, Resulting Numbers: [20, 76, 44] Generated Node #2: [20, 76, 44] from Operation: 99-55=44 Current State: 12:[20, 76, 44], Operations: ['99-55=44'] Exploring Operation: 76-20=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 76-20=56 Current State: 12:[44, 56], Operations: ['99-55=44', '76-20=56'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 52, 40, 44, 33 ]
15
[ "52+40=92", "44+33=77", "92-77=15" ]
Current State: 15:[52, 40, 44, 33], Operations: [] Exploring Operation: 52+40=92, Resulting Numbers: [44, 33, 92] Generated Node #2: [44, 33, 92] from Operation: 52+40=92 Current State: 15:[44, 33, 92], Operations: ['52+40=92'] Exploring Operation: 44+33=77, Resulting Numbers: [92, 77] Generated Node #3: [92, 77] from Operation: 44+33=77 Current State: 15:[92, 77], Operations: ['52+40=92', '44+33=77'] Exploring Operation: 92-77=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 8, 37, 89, 26 ]
34
[ "37-8=29", "89-26=63", "63-29=34" ]
Current State: 34:[8, 37, 89, 26], Operations: [] Exploring Operation: 37-8=29, Resulting Numbers: [89, 26, 29] Generated Node #2: [89, 26, 29] from Operation: 37-8=29 Current State: 34:[89, 26, 29], Operations: ['37-8=29'] Exploring Operation: 89-26=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 89-26=63 Current State: 34:[29, 63], Operations: ['37-8=29', '89-26=63'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 42, 72, 93 ]
40
[ "93-72=21", "42/21=2", "38+2=40" ]
Current State: 40:[38, 42, 72, 93], Operations: [] Exploring Operation: 93-72=21, Resulting Numbers: [38, 42, 21] Generated Node #2: [38, 42, 21] from Operation: 93-72=21 Current State: 40:[38, 42, 21], Operations: ['93-72=21'] Exploring Operation: 42/21=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 42/21=2 Current State: 40:[38, 2], Operations: ['93-72=21', '42/21=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 19, 68, 15 ]
26
[ "19+15=34", "52*34=1768", "1768/68=26" ]
Current State: 26:[52, 19, 68, 15], Operations: [] Exploring Operation: 19+15=34, Resulting Numbers: [52, 68, 34] Generated Node #2: [52, 68, 34] from Operation: 19+15=34 Current State: 26:[52, 68, 34], Operations: ['19+15=34'] Exploring Operation: 52*34=1768, Resulting Numbers: [68, 1768] Generated Node #3: [68, 1768] from Operation: 52*34=1768 Current State: 26:[68, 1768], Operations: ['19+15=34', '52*34=1768'] Exploring Operation: 1768/68=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 22, 42, 42, 26 ]
88
[ "42-22=20", "42+26=68", "20+68=88" ]
Current State: 88:[22, 42, 42, 26], Operations: [] Exploring Operation: 42-22=20, Resulting Numbers: [26, 20] Generated Node #2: [26, 20] from Operation: 42-22=20 Current State: 88:[26, 20], Operations: ['42-22=20'] Exploring Operation: 42+26=68, Resulting Numbers: [20, 68] Generated Node #3: [20, 68] from Operation: 42+26=68 Current State: 88:[20, 68], Operations: ['42-22=20', '42+26=68'] Exploring Operation: 20+68=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 12, 2, 89 ]
77
[ "48/2=24", "12+89=101", "101-24=77" ]
Current State: 77:[48, 12, 2, 89], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [12, 89, 24] Generated Node #2: [12, 89, 24] from Operation: 48/2=24 Current State: 77:[12, 89, 24], Operations: ['48/2=24'] Exploring Operation: 12+89=101, Resulting Numbers: [24, 101] Generated Node #3: [24, 101] from Operation: 12+89=101 Current State: 77:[24, 101], Operations: ['48/2=24', '12+89=101'] Exploring Operation: 101-24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 40, 28, 10 ]
60
[ "30-28=2", "40-10=30", "2*30=60" ]
Current State: 60:[30, 40, 28, 10], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [40, 10, 2] Generated Node #2: [40, 10, 2] from Operation: 30-28=2 Current State: 60:[40, 10, 2], Operations: ['30-28=2'] Exploring Operation: 40-10=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 40-10=30 Current State: 60:[2, 30], Operations: ['30-28=2', '40-10=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 35, 79, 2, 41 ]
82
[ "35+41=76", "79*2=158", "158-76=82" ]
Current State: 82:[35, 79, 2, 41], Operations: [] Exploring Operation: 35+41=76, Resulting Numbers: [79, 2, 76] Generated Node #2: [79, 2, 76] from Operation: 35+41=76 Current State: 82:[79, 2, 76], Operations: ['35+41=76'] Exploring Operation: 79*2=158, Resulting Numbers: [76, 158] Generated Node #3: [76, 158] from Operation: 79*2=158 Current State: 82:[76, 158], Operations: ['35+41=76', '79*2=158'] Exploring Operation: 158-76=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 58, 68, 3, 59 ]
23
[ "68-58=10", "59+10=69", "69/3=23" ]
Current State: 23:[58, 68, 3, 59], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [3, 59, 10] Generated Node #2: [3, 59, 10] from Operation: 68-58=10 Current State: 23:[3, 59, 10], Operations: ['68-58=10'] Exploring Operation: 59+10=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 59+10=69 Current State: 23:[3, 69], Operations: ['68-58=10', '59+10=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 40, 46, 6 ]
65
[ "40-15=25", "46-6=40", "25+40=65" ]
Current State: 65:[15, 40, 46, 6], Operations: [] Exploring Operation: 40-15=25, Resulting Numbers: [46, 6, 25] Generated Node #2: [46, 6, 25] from Operation: 40-15=25 Current State: 65:[46, 6, 25], Operations: ['40-15=25'] Exploring Operation: 46-6=40, Resulting Numbers: [25, 40] Generated Node #3: [25, 40] from Operation: 46-6=40 Current State: 65:[25, 40], Operations: ['40-15=25', '46-6=40'] Exploring Operation: 25+40=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 9, 45, 67 ]
48
[ "35-9=26", "67-45=22", "26+22=48" ]
Current State: 48:[35, 9, 45, 67], Operations: [] Exploring Operation: 35-9=26, Resulting Numbers: [45, 67, 26] Generated Node #2: [45, 67, 26] from Operation: 35-9=26 Current State: 48:[45, 67, 26], Operations: ['35-9=26'] Exploring Operation: 67-45=22, Resulting Numbers: [26, 22] Generated Node #3: [26, 22] from Operation: 67-45=22 Current State: 48:[26, 22], Operations: ['35-9=26', '67-45=22'] Exploring Operation: 26+22=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 22, 84, 21 ]
77
[ "84-78=6", "22*21=462", "462/6=77" ]
Current State: 77:[78, 22, 84, 21], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [22, 21, 6] Generated Node #2: [22, 21, 6] from Operation: 84-78=6 Current State: 77:[22, 21, 6], Operations: ['84-78=6'] Exploring Operation: 22*21=462, Resulting Numbers: [6, 462] Generated Node #3: [6, 462] from Operation: 22*21=462 Current State: 77:[6, 462], Operations: ['84-78=6', '22*21=462'] Exploring Operation: 462/6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 32, 9, 34 ]
14
[ "32-3=29", "9+34=43", "43-29=14" ]
Current State: 14:[3, 32, 9, 34], Operations: [] Exploring Operation: 32-3=29, Resulting Numbers: [9, 34, 29] Generated Node #2: [9, 34, 29] from Operation: 32-3=29 Current State: 14:[9, 34, 29], Operations: ['32-3=29'] Exploring Operation: 9+34=43, Resulting Numbers: [29, 43] Generated Node #3: [29, 43] from Operation: 9+34=43 Current State: 14:[29, 43], Operations: ['32-3=29', '9+34=43'] Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 40, 72, 87 ]
85
[ "72-52=20", "40/20=2", "87-2=85" ]
Current State: 85:[52, 40, 72, 87], Operations: [] Exploring Operation: 72-52=20, Resulting Numbers: [40, 87, 20] Generated Node #2: [40, 87, 20] from Operation: 72-52=20 Current State: 85:[40, 87, 20], Operations: ['72-52=20'] Exploring Operation: 40/20=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 40/20=2 Current State: 85:[87, 2], Operations: ['72-52=20', '40/20=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 3, 80, 33 ]
64
[ "80-45=35", "3*33=99", "99-35=64" ]
Current State: 64:[45, 3, 80, 33], Operations: [] Exploring Operation: 80-45=35, Resulting Numbers: [3, 33, 35] Generated Node #2: [3, 33, 35] from Operation: 80-45=35 Current State: 64:[3, 33, 35], Operations: ['80-45=35'] Exploring Operation: 3*33=99, Resulting Numbers: [35, 99] Generated Node #3: [35, 99] from Operation: 3*33=99 Current State: 64:[35, 99], Operations: ['80-45=35', '3*33=99'] Exploring Operation: 99-35=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 12, 41, 5 ]
90
[ "32+12=44", "41+5=46", "44+46=90" ]
Current State: 90:[32, 12, 41, 5], Operations: [] Exploring Operation: 32+12=44, Resulting Numbers: [41, 5, 44] Generated Node #2: [41, 5, 44] from Operation: 32+12=44 Current State: 90:[41, 5, 44], Operations: ['32+12=44'] Exploring Operation: 41+5=46, Resulting Numbers: [44, 46] Generated Node #3: [44, 46] from Operation: 41+5=46 Current State: 90:[44, 46], Operations: ['32+12=44', '41+5=46'] Exploring Operation: 44+46=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 76, 46, 35, 4 ]
73
[ "76+35=111", "46*4=184", "184-111=73" ]
Current State: 73:[76, 46, 35, 4], Operations: [] Exploring Operation: 76+35=111, Resulting Numbers: [46, 4, 111] Generated Node #2: [46, 4, 111] from Operation: 76+35=111 Current State: 73:[46, 4, 111], Operations: ['76+35=111'] Exploring Operation: 46*4=184, Resulting Numbers: [111, 184] Generated Node #3: [111, 184] from Operation: 46*4=184 Current State: 73:[111, 184], Operations: ['76+35=111', '46*4=184'] Exploring Operation: 184-111=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 56, 48, 4 ]
76
[ "45*4=180", "56+48=104", "180-104=76" ]
Current State: 76:[45, 56, 48, 4], Operations: [] Exploring Operation: 45*4=180, Resulting Numbers: [56, 48, 180] Generated Node #2: [56, 48, 180] from Operation: 45*4=180 Current State: 76:[56, 48, 180], Operations: ['45*4=180'] Exploring Operation: 56+48=104, Resulting Numbers: [180, 104] Generated Node #3: [180, 104] from Operation: 56+48=104 Current State: 76:[180, 104], Operations: ['45*4=180', '56+48=104'] Exploring Operation: 180-104=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 44, 36, 31, 1 ]
40
[ "44-36=8", "31+1=32", "8+32=40" ]
Current State: 40:[44, 36, 31, 1], Operations: [] Exploring Operation: 44-36=8, Resulting Numbers: [31, 1, 8] Generated Node #2: [31, 1, 8] from Operation: 44-36=8 Current State: 40:[31, 1, 8], Operations: ['44-36=8'] Exploring Operation: 31+1=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 31+1=32 Current State: 40:[8, 32], Operations: ['44-36=8', '31+1=32'] Exploring Operation: 8+32=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 73, 35, 33 ]
65
[ "76-73=3", "35+33=68", "68-3=65" ]
Current State: 65:[76, 73, 35, 33], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [35, 33, 3] Generated Node #2: [35, 33, 3] from Operation: 76-73=3 Current State: 65:[35, 33, 3], Operations: ['76-73=3'] Exploring Operation: 35+33=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 35+33=68 Current State: 65:[3, 68], Operations: ['76-73=3', '35+33=68'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 94, 83, 13, 96 ]
93
[ "83+13=96", "96/96=1", "94-1=93" ]
Current State: 93:[94, 83, 13, 96], Operations: [] Exploring Operation: 83+13=96, Resulting Numbers: [94, 96, 96] Generated Node #2: [94, 96, 96] from Operation: 83+13=96 Current State: 93:[94, 96, 96], Operations: ['83+13=96'] Exploring Operation: 96/96=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 96/96=1 Current State: 93:[94, 1], Operations: ['83+13=96', '96/96=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 38, 78, 3 ]
80
[ "38/38=1", "78+3=81", "81-1=80" ]
Current State: 80:[38, 38, 78, 3], Operations: [] Exploring Operation: 38/38=1, Resulting Numbers: [78, 3, 1] Generated Node #2: [78, 3, 1] from Operation: 38/38=1 Current State: 80:[78, 3, 1], Operations: ['38/38=1'] Exploring Operation: 78+3=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 78+3=81 Current State: 80:[1, 81], Operations: ['38/38=1', '78+3=81'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 9, 1, 19 ]
77
[ "68-9=59", "19-1=18", "59+18=77" ]
Current State: 77:[68, 9, 1, 19], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [1, 19, 59] Generated Node #2: [1, 19, 59] from Operation: 68-9=59 Current State: 77:[1, 19, 59], Operations: ['68-9=59'] Exploring Operation: 19-1=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 19-1=18 Current State: 77:[59, 18], Operations: ['68-9=59', '19-1=18'] Exploring Operation: 59+18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 32, 67, 14, 36 ]
57
[ "67-32=35", "36-14=22", "35+22=57" ]
Current State: 57:[32, 67, 14, 36], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [14, 36, 35] Generated Node #2: [14, 36, 35] from Operation: 67-32=35 Current State: 57:[14, 36, 35], Operations: ['67-32=35'] Exploring Operation: 36-14=22, Resulting Numbers: [35, 22] Generated Node #3: [35, 22] from Operation: 36-14=22 Current State: 57:[35, 22], Operations: ['67-32=35', '36-14=22'] Exploring Operation: 35+22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 33, 30, 51, 60 ]
72
[ "33+30=63", "60-51=9", "63+9=72" ]
Current State: 72:[33, 30, 51, 60], Operations: [] Exploring Operation: 33+30=63, Resulting Numbers: [51, 60, 63] Generated Node #2: [51, 60, 63] from Operation: 33+30=63 Current State: 72:[51, 60, 63], Operations: ['33+30=63'] Exploring Operation: 60-51=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 60-51=9 Current State: 72:[63, 9], Operations: ['33+30=63', '60-51=9'] Exploring Operation: 63+9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 49, 5, 36 ]
81
[ "49-36=13", "5*13=65", "16+65=81" ]
Current State: 81:[16, 49, 5, 36], Operations: [] Exploring Operation: 49-36=13, Resulting Numbers: [16, 5, 13] Generated Node #2: [16, 5, 13] from Operation: 49-36=13 Current State: 81:[16, 5, 13], Operations: ['49-36=13'] Exploring Operation: 5*13=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 5*13=65 Current State: 81:[16, 65], Operations: ['49-36=13', '5*13=65'] Exploring Operation: 16+65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 56, 7, 8 ]
23
[ "89-56=33", "7*8=56", "56-33=23" ]
Current State: 23:[89, 56, 7, 8], Operations: [] Exploring Operation: 89-56=33, Resulting Numbers: [7, 8, 33] Generated Node #2: [7, 8, 33] from Operation: 89-56=33 Current State: 23:[7, 8, 33], Operations: ['89-56=33'] Exploring Operation: 7*8=56, Resulting Numbers: [33, 56] Generated Node #3: [33, 56] from Operation: 7*8=56 Current State: 23:[33, 56], Operations: ['89-56=33', '7*8=56'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 83, 53, 15 ]
39
[ "84-83=1", "53-15=38", "1+38=39" ]
Current State: 39:[84, 83, 53, 15], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [53, 15, 1] Generated Node #2: [53, 15, 1] from Operation: 84-83=1 Current State: 39:[53, 15, 1], Operations: ['84-83=1'] Exploring Operation: 53-15=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 53-15=38 Current State: 39:[1, 38], Operations: ['84-83=1', '53-15=38'] Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 90, 88, 3, 16 ]
50
[ "90-88=2", "3*16=48", "2+48=50" ]
Current State: 50:[90, 88, 3, 16], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [3, 16, 2] Generated Node #2: [3, 16, 2] from Operation: 90-88=2 Current State: 50:[3, 16, 2], Operations: ['90-88=2'] Exploring Operation: 3*16=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 3*16=48 Current State: 50:[2, 48], Operations: ['90-88=2', '3*16=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 90, 12, 25, 80 ]
14
[ "25+80=105", "12*105=1260", "1260/90=14" ]
Current State: 14:[90, 12, 25, 80], Operations: [] Exploring Operation: 25+80=105, Resulting Numbers: [90, 12, 105] Generated Node #2: [90, 12, 105] from Operation: 25+80=105 Current State: 14:[90, 12, 105], Operations: ['25+80=105'] Exploring Operation: 12*105=1260, Resulting Numbers: [90, 1260] Generated Node #3: [90, 1260] from Operation: 12*105=1260 Current State: 14:[90, 1260], Operations: ['25+80=105', '12*105=1260'] Exploring Operation: 1260/90=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 23, 10, 12 ]
70
[ "10/5=2", "23+12=35", "2*35=70" ]
Current State: 70:[5, 23, 10, 12], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [23, 12, 2] Generated Node #2: [23, 12, 2] from Operation: 10/5=2 Current State: 70:[23, 12, 2], Operations: ['10/5=2'] Exploring Operation: 23+12=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 23+12=35 Current State: 70:[2, 35], Operations: ['10/5=2', '23+12=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 73, 5, 3, 23 ]
49
[ "73+5=78", "78/3=26", "23+26=49" ]
Current State: 49:[73, 5, 3, 23], Operations: [] Exploring Operation: 73+5=78, Resulting Numbers: [3, 23, 78] Generated Node #2: [3, 23, 78] from Operation: 73+5=78 Current State: 49:[3, 23, 78], Operations: ['73+5=78'] Exploring Operation: 78/3=26, Resulting Numbers: [23, 26] Generated Node #3: [23, 26] from Operation: 78/3=26 Current State: 49:[23, 26], Operations: ['73+5=78', '78/3=26'] Exploring Operation: 23+26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 76, 44, 89 ]
84
[ "76-37=39", "89-44=45", "39+45=84" ]
Current State: 84:[37, 76, 44, 89], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [44, 89, 39] Generated Node #2: [44, 89, 39] from Operation: 76-37=39 Current State: 84:[44, 89, 39], Operations: ['76-37=39'] Exploring Operation: 89-44=45, Resulting Numbers: [39, 45] Generated Node #3: [39, 45] from Operation: 89-44=45 Current State: 84:[39, 45], Operations: ['76-37=39', '89-44=45'] Exploring Operation: 39+45=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 6, 92, 39, 79 ]
39
[ "92-79=13", "6*13=78", "78-39=39" ]
Current State: 39:[6, 92, 39, 79], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [6, 39, 13] Generated Node #2: [6, 39, 13] from Operation: 92-79=13 Current State: 39:[6, 39, 13], Operations: ['92-79=13'] Exploring Operation: 6*13=78, Resulting Numbers: [39, 78] Generated Node #3: [39, 78] from Operation: 6*13=78 Current State: 39:[39, 78], Operations: ['92-79=13', '6*13=78'] Exploring Operation: 78-39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 50, 83, 28 ]
47
[ "52+50=102", "83-28=55", "102-55=47" ]
Current State: 47:[52, 50, 83, 28], Operations: [] Exploring Operation: 52+50=102, Resulting Numbers: [83, 28, 102] Generated Node #2: [83, 28, 102] from Operation: 52+50=102 Current State: 47:[83, 28, 102], Operations: ['52+50=102'] Exploring Operation: 83-28=55, Resulting Numbers: [102, 55] Generated Node #3: [102, 55] from Operation: 83-28=55 Current State: 47:[102, 55], Operations: ['52+50=102', '83-28=55'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 77, 76, 81 ]
88
[ "7+81=88", "77-76=1", "88*1=88" ]
Current State: 88:[7, 77, 76, 81], Operations: [] Exploring Operation: 7+81=88, Resulting Numbers: [77, 76, 88] Generated Node #2: [77, 76, 88] from Operation: 7+81=88 Current State: 88:[77, 76, 88], Operations: ['7+81=88'] Exploring Operation: 77-76=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 77-76=1 Current State: 88:[88, 1], Operations: ['7+81=88', '77-76=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 20, 36, 33 ]
29
[ "36-20=16", "16/4=4", "33-4=29" ]
Current State: 29:[4, 20, 36, 33], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [4, 33, 16] Generated Node #2: [4, 33, 16] from Operation: 36-20=16 Current State: 29:[4, 33, 16], Operations: ['36-20=16'] Exploring Operation: 16/4=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 16/4=4 Current State: 29:[33, 4], Operations: ['36-20=16', '16/4=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 2, 19, 4 ]
61
[ "6/2=3", "19*3=57", "4+57=61" ]
Current State: 61:[6, 2, 19, 4], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [19, 4, 3] Generated Node #2: [19, 4, 3] from Operation: 6/2=3 Current State: 61:[19, 4, 3], Operations: ['6/2=3'] Exploring Operation: 19*3=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 19*3=57 Current State: 61:[4, 57], Operations: ['6/2=3', '19*3=57'] Exploring Operation: 4+57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 15, 29, 37 ]
67
[ "5*15=75", "37-29=8", "75-8=67" ]
Current State: 67:[5, 15, 29, 37], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [29, 37, 75] Generated Node #2: [29, 37, 75] from Operation: 5*15=75 Current State: 67:[29, 37, 75], Operations: ['5*15=75'] Exploring Operation: 37-29=8, Resulting Numbers: [75, 8] Generated Node #3: [75, 8] from Operation: 37-29=8 Current State: 67:[75, 8], Operations: ['5*15=75', '37-29=8'] Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 21, 48, 8, 47 ]
79
[ "21*48=1008", "1008/8=126", "126-47=79" ]
Current State: 79:[21, 48, 8, 47], Operations: [] Exploring Operation: 21*48=1008, Resulting Numbers: [8, 47, 1008] Generated Node #2: [8, 47, 1008] from Operation: 21*48=1008 Current State: 79:[8, 47, 1008], Operations: ['21*48=1008'] Exploring Operation: 1008/8=126, Resulting Numbers: [47, 126] Generated Node #3: [47, 126] from Operation: 1008/8=126 Current State: 79:[47, 126], Operations: ['21*48=1008', '1008/8=126'] Exploring Operation: 126-47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 75, 91, 38 ]
17
[ "75-5=70", "91-38=53", "70-53=17" ]
Current State: 17:[5, 75, 91, 38], Operations: [] Exploring Operation: 75-5=70, Resulting Numbers: [91, 38, 70] Generated Node #2: [91, 38, 70] from Operation: 75-5=70 Current State: 17:[91, 38, 70], Operations: ['75-5=70'] Exploring Operation: 91-38=53, Resulting Numbers: [70, 53] Generated Node #3: [70, 53] from Operation: 91-38=53 Current State: 17:[70, 53], Operations: ['75-5=70', '91-38=53'] Exploring Operation: 70-53=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 15, 23, 42 ]
50
[ "19-15=4", "23*4=92", "92-42=50" ]
Current State: 50:[19, 15, 23, 42], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [23, 42, 4] Generated Node #2: [23, 42, 4] from Operation: 19-15=4 Current State: 50:[23, 42, 4], Operations: ['19-15=4'] Exploring Operation: 23*4=92, Resulting Numbers: [42, 92] Generated Node #3: [42, 92] from Operation: 23*4=92 Current State: 50:[42, 92], Operations: ['19-15=4', '23*4=92'] Exploring Operation: 92-42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 67, 58, 26, 51 ]
100
[ "67+58=125", "51-26=25", "125-25=100" ]
Current State: 100:[67, 58, 26, 51], Operations: [] Exploring Operation: 67+58=125, Resulting Numbers: [26, 51, 125] Generated Node #2: [26, 51, 125] from Operation: 67+58=125 Current State: 100:[26, 51, 125], Operations: ['67+58=125'] Exploring Operation: 51-26=25, Resulting Numbers: [125, 25] Generated Node #3: [125, 25] from Operation: 51-26=25 Current State: 100:[125, 25], Operations: ['67+58=125', '51-26=25'] Exploring Operation: 125-25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 2, 70, 69 ]
86
[ "9+69=78", "2*78=156", "156-70=86" ]
Current State: 86:[9, 2, 70, 69], Operations: [] Exploring Operation: 9+69=78, Resulting Numbers: [2, 70, 78] Generated Node #2: [2, 70, 78] from Operation: 9+69=78 Current State: 86:[2, 70, 78], Operations: ['9+69=78'] Exploring Operation: 2*78=156, Resulting Numbers: [70, 156] Generated Node #3: [70, 156] from Operation: 2*78=156 Current State: 86:[70, 156], Operations: ['9+69=78', '2*78=156'] Exploring Operation: 156-70=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 45, 61, 84 ]
12
[ "9+45=54", "61-54=7", "84/7=12" ]
Current State: 12:[9, 45, 61, 84], Operations: [] Exploring Operation: 9+45=54, Resulting Numbers: [61, 84, 54] Generated Node #2: [61, 84, 54] from Operation: 9+45=54 Current State: 12:[61, 84, 54], Operations: ['9+45=54'] Exploring Operation: 61-54=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 61-54=7 Current State: 12:[84, 7], Operations: ['9+45=54', '61-54=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 14, 21, 4, 84 ]
72
[ "14+4=18", "84/21=4", "18*4=72" ]
Current State: 72:[14, 21, 4, 84], Operations: [] Exploring Operation: 14+4=18, Resulting Numbers: [21, 84, 18] Generated Node #2: [21, 84, 18] from Operation: 14+4=18 Current State: 72:[21, 84, 18], Operations: ['14+4=18'] Exploring Operation: 84/21=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 84/21=4 Current State: 72:[18, 4], Operations: ['14+4=18', '84/21=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 64, 37, 97, 23 ]
62
[ "97-23=74", "74/37=2", "64-2=62" ]
Current State: 62:[64, 37, 97, 23], Operations: [] Exploring Operation: 97-23=74, Resulting Numbers: [64, 37, 74] Generated Node #2: [64, 37, 74] from Operation: 97-23=74 Current State: 62:[64, 37, 74], Operations: ['97-23=74'] Exploring Operation: 74/37=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 74/37=2 Current State: 62:[64, 2], Operations: ['97-23=74', '74/37=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 96, 6, 10 ]
34
[ "96-92=4", "6*4=24", "10+24=34" ]
Current State: 34:[92, 96, 6, 10], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [6, 10, 4] Generated Node #2: [6, 10, 4] from Operation: 96-92=4 Current State: 34:[6, 10, 4], Operations: ['96-92=4'] Exploring Operation: 6*4=24, Resulting Numbers: [10, 24] Generated Node #3: [10, 24] from Operation: 6*4=24 Current State: 34:[10, 24], Operations: ['96-92=4', '6*4=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 49, 56, 14, 98 ]
57
[ "56*14=784", "784/98=8", "49+8=57" ]
Current State: 57:[49, 56, 14, 98], Operations: [] Exploring Operation: 56*14=784, Resulting Numbers: [49, 98, 784] Generated Node #2: [49, 98, 784] from Operation: 56*14=784 Current State: 57:[49, 98, 784], Operations: ['56*14=784'] Exploring Operation: 784/98=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 784/98=8 Current State: 57:[49, 8], Operations: ['56*14=784', '784/98=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 82, 50, 58, 99 ]
73
[ "82-50=32", "99-58=41", "32+41=73" ]
Current State: 73:[82, 50, 58, 99], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [58, 99, 32] Generated Node #2: [58, 99, 32] from Operation: 82-50=32 Current State: 73:[58, 99, 32], Operations: ['82-50=32'] Exploring Operation: 99-58=41, Resulting Numbers: [32, 41] Generated Node #3: [32, 41] from Operation: 99-58=41 Current State: 73:[32, 41], Operations: ['82-50=32', '99-58=41'] Exploring Operation: 32+41=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 28, 14, 73 ]
50
[ "73-48=25", "28/14=2", "25*2=50" ]
Current State: 50:[48, 28, 14, 73], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [28, 14, 25] Generated Node #2: [28, 14, 25] from Operation: 73-48=25 Current State: 50:[28, 14, 25], Operations: ['73-48=25'] Exploring Operation: 28/14=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 28/14=2 Current State: 50:[25, 2], Operations: ['73-48=25', '28/14=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 83, 86, 41 ]
15
[ "86-83=3", "86-41=45", "45/3=15" ]
Current State: 15:[86, 83, 86, 41], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [41, 3] Generated Node #2: [41, 3] from Operation: 86-83=3 Current State: 15:[41, 3], Operations: ['86-83=3'] Exploring Operation: 86-41=45, Resulting Numbers: [3, 45] Generated Node #3: [3, 45] from Operation: 86-41=45 Current State: 15:[3, 45], Operations: ['86-83=3', '86-41=45'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 38, 25, 97, 1 ]
84
[ "38-25=13", "97*1=97", "97-13=84" ]
Current State: 84:[38, 25, 97, 1], Operations: [] Exploring Operation: 38-25=13, Resulting Numbers: [97, 1, 13] Generated Node #2: [97, 1, 13] from Operation: 38-25=13 Current State: 84:[97, 1, 13], Operations: ['38-25=13'] Exploring Operation: 97*1=97, Resulting Numbers: [13, 97] Generated Node #3: [13, 97] from Operation: 97*1=97 Current State: 84:[13, 97], Operations: ['38-25=13', '97*1=97'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 25, 35, 80 ]
66
[ "25-4=21", "80-35=45", "21+45=66" ]
Current State: 66:[4, 25, 35, 80], Operations: [] Exploring Operation: 25-4=21, Resulting Numbers: [35, 80, 21] Generated Node #2: [35, 80, 21] from Operation: 25-4=21 Current State: 66:[35, 80, 21], Operations: ['25-4=21'] Exploring Operation: 80-35=45, Resulting Numbers: [21, 45] Generated Node #3: [21, 45] from Operation: 80-35=45 Current State: 66:[21, 45], Operations: ['25-4=21', '80-35=45'] Exploring Operation: 21+45=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 98, 92, 75, 70 ]
45
[ "98+92=190", "75+70=145", "190-145=45" ]
Current State: 45:[98, 92, 75, 70], Operations: [] Exploring Operation: 98+92=190, Resulting Numbers: [75, 70, 190] Generated Node #2: [75, 70, 190] from Operation: 98+92=190 Current State: 45:[75, 70, 190], Operations: ['98+92=190'] Exploring Operation: 75+70=145, Resulting Numbers: [190, 145] Generated Node #3: [190, 145] from Operation: 75+70=145 Current State: 45:[190, 145], Operations: ['98+92=190', '75+70=145'] Exploring Operation: 190-145=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 54, 84, 39, 18 ]
67
[ "54/18=3", "84/3=28", "39+28=67" ]
Current State: 67:[54, 84, 39, 18], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [84, 39, 3] Generated Node #2: [84, 39, 3] from Operation: 54/18=3 Current State: 67:[84, 39, 3], Operations: ['54/18=3'] Exploring Operation: 84/3=28, Resulting Numbers: [39, 28] Generated Node #3: [39, 28] from Operation: 84/3=28 Current State: 67:[39, 28], Operations: ['54/18=3', '84/3=28'] Exploring Operation: 39+28=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 68, 99, 9 ]
21
[ "61+68=129", "99+9=108", "129-108=21" ]
Current State: 21:[61, 68, 99, 9], Operations: [] Exploring Operation: 61+68=129, Resulting Numbers: [99, 9, 129] Generated Node #2: [99, 9, 129] from Operation: 61+68=129 Current State: 21:[99, 9, 129], Operations: ['61+68=129'] Exploring Operation: 99+9=108, Resulting Numbers: [129, 108] Generated Node #3: [129, 108] from Operation: 99+9=108 Current State: 21:[129, 108], Operations: ['61+68=129', '99+9=108'] Exploring Operation: 129-108=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 32, 90, 47 ]
45
[ "93-90=3", "47-32=15", "3*15=45" ]
Current State: 45:[93, 32, 90, 47], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [32, 47, 3] Generated Node #2: [32, 47, 3] from Operation: 93-90=3 Current State: 45:[32, 47, 3], Operations: ['93-90=3'] Exploring Operation: 47-32=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 47-32=15 Current State: 45:[3, 15], Operations: ['93-90=3', '47-32=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 24, 7, 26, 2 ]
60
[ "24-7=17", "2*17=34", "26+34=60" ]
Current State: 60:[24, 7, 26, 2], Operations: [] Exploring Operation: 24-7=17, Resulting Numbers: [26, 2, 17] Generated Node #2: [26, 2, 17] from Operation: 24-7=17 Current State: 60:[26, 2, 17], Operations: ['24-7=17'] Exploring Operation: 2*17=34, Resulting Numbers: [26, 34] Generated Node #3: [26, 34] from Operation: 2*17=34 Current State: 60:[26, 34], Operations: ['24-7=17', '2*17=34'] Exploring Operation: 26+34=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 3, 65, 48, 50 ]
66
[ "3+65=68", "50-48=2", "68-2=66" ]
Current State: 66:[3, 65, 48, 50], Operations: [] Exploring Operation: 3+65=68, Resulting Numbers: [48, 50, 68] Generated Node #2: [48, 50, 68] from Operation: 3+65=68 Current State: 66:[48, 50, 68], Operations: ['3+65=68'] Exploring Operation: 50-48=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 50-48=2 Current State: 66:[68, 2], Operations: ['3+65=68', '50-48=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 30, 10, 13, 90 ]
87
[ "90/10=9", "13*9=117", "117-30=87" ]
Current State: 87:[30, 10, 13, 90], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [30, 13, 9] Generated Node #2: [30, 13, 9] from Operation: 90/10=9 Current State: 87:[30, 13, 9], Operations: ['90/10=9'] Exploring Operation: 13*9=117, Resulting Numbers: [30, 117] Generated Node #3: [30, 117] from Operation: 13*9=117 Current State: 87:[30, 117], Operations: ['90/10=9', '13*9=117'] Exploring Operation: 117-30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 67, 62, 35, 75 ]
100
[ "67-62=5", "35*5=175", "175-75=100" ]
Current State: 100:[67, 62, 35, 75], Operations: [] Exploring Operation: 67-62=5, Resulting Numbers: [35, 75, 5] Generated Node #2: [35, 75, 5] from Operation: 67-62=5 Current State: 100:[35, 75, 5], Operations: ['67-62=5'] Exploring Operation: 35*5=175, Resulting Numbers: [75, 175] Generated Node #3: [75, 175] from Operation: 35*5=175 Current State: 100:[75, 175], Operations: ['67-62=5', '35*5=175'] Exploring Operation: 175-75=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 69, 98, 72 ]
77
[ "98-89=9", "72/9=8", "69+8=77" ]
Current State: 77:[89, 69, 98, 72], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [69, 72, 9] Generated Node #2: [69, 72, 9] from Operation: 98-89=9 Current State: 77:[69, 72, 9], Operations: ['98-89=9'] Exploring Operation: 72/9=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 72/9=8 Current State: 77:[69, 8], Operations: ['98-89=9', '72/9=8'] Exploring Operation: 69+8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 26, 33, 43, 2 ]
32
[ "26+33=59", "59-43=16", "2*16=32" ]
Current State: 32:[26, 33, 43, 2], Operations: [] Exploring Operation: 26+33=59, Resulting Numbers: [43, 2, 59] Generated Node #2: [43, 2, 59] from Operation: 26+33=59 Current State: 32:[43, 2, 59], Operations: ['26+33=59'] Exploring Operation: 59-43=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 59-43=16 Current State: 32:[2, 16], Operations: ['26+33=59', '59-43=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 52, 83, 46, 27 ]
41
[ "52+83=135", "135/27=5", "46-5=41" ]
Current State: 41:[52, 83, 46, 27], Operations: [] Exploring Operation: 52+83=135, Resulting Numbers: [46, 27, 135] Generated Node #2: [46, 27, 135] from Operation: 52+83=135 Current State: 41:[46, 27, 135], Operations: ['52+83=135'] Exploring Operation: 135/27=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 135/27=5 Current State: 41:[46, 5], Operations: ['52+83=135', '135/27=5'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 42, 21, 15 ]
56
[ "41-21=20", "42*20=840", "840/15=56" ]
Current State: 56:[41, 42, 21, 15], Operations: [] Exploring Operation: 41-21=20, Resulting Numbers: [42, 15, 20] Generated Node #2: [42, 15, 20] from Operation: 41-21=20 Current State: 56:[42, 15, 20], Operations: ['41-21=20'] Exploring Operation: 42*20=840, Resulting Numbers: [15, 840] Generated Node #3: [15, 840] from Operation: 42*20=840 Current State: 56:[15, 840], Operations: ['41-21=20', '42*20=840'] Exploring Operation: 840/15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 41, 41, 24 ]
96
[ "72+41=113", "41-24=17", "113-17=96" ]
Current State: 96:[72, 41, 41, 24], Operations: [] Exploring Operation: 72+41=113, Resulting Numbers: [24, 113] Generated Node #2: [24, 113] from Operation: 72+41=113 Current State: 96:[24, 113], Operations: ['72+41=113'] Exploring Operation: 41-24=17, Resulting Numbers: [113, 17] Generated Node #3: [113, 17] from Operation: 41-24=17 Current State: 96:[113, 17], Operations: ['72+41=113', '41-24=17'] Exploring Operation: 113-17=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 59, 1, 62, 88 ]
33
[ "59*1=59", "88-62=26", "59-26=33" ]
Current State: 33:[59, 1, 62, 88], Operations: [] Exploring Operation: 59*1=59, Resulting Numbers: [62, 88, 59] Generated Node #2: [62, 88, 59] from Operation: 59*1=59 Current State: 33:[62, 88, 59], Operations: ['59*1=59'] Exploring Operation: 88-62=26, Resulting Numbers: [59, 26] Generated Node #3: [59, 26] from Operation: 88-62=26 Current State: 33:[59, 26], Operations: ['59*1=59', '88-62=26'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 16, 6, 55, 43 ]
24
[ "55-16=39", "43-39=4", "6*4=24" ]
Current State: 24:[16, 6, 55, 43], Operations: [] Exploring Operation: 55-16=39, Resulting Numbers: [6, 43, 39] Generated Node #2: [6, 43, 39] from Operation: 55-16=39 Current State: 24:[6, 43, 39], Operations: ['55-16=39'] Exploring Operation: 43-39=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 43-39=4 Current State: 24:[6, 4], Operations: ['55-16=39', '43-39=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 40, 87, 45 ]
89
[ "35+45=80", "80/40=2", "87+2=89" ]
Current State: 89:[35, 40, 87, 45], Operations: [] Exploring Operation: 35+45=80, Resulting Numbers: [40, 87, 80] Generated Node #2: [40, 87, 80] from Operation: 35+45=80 Current State: 89:[40, 87, 80], Operations: ['35+45=80'] Exploring Operation: 80/40=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 80/40=2 Current State: 89:[87, 2], Operations: ['35+45=80', '80/40=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 36, 8, 41 ]
35
[ "5*8=40", "41-36=5", "40-5=35" ]
Current State: 35:[5, 36, 8, 41], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [36, 41, 40] Generated Node #2: [36, 41, 40] from Operation: 5*8=40 Current State: 35:[36, 41, 40], Operations: ['5*8=40'] Exploring Operation: 41-36=5, Resulting Numbers: [40, 5] Generated Node #3: [40, 5] from Operation: 41-36=5 Current State: 35:[40, 5], Operations: ['5*8=40', '41-36=5'] Exploring Operation: 40-5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 37, 50, 35, 60 ]
35
[ "37-35=2", "50/2=25", "60-25=35" ]
Current State: 35:[37, 50, 35, 60], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [50, 60, 2] Generated Node #2: [50, 60, 2] from Operation: 37-35=2 Current State: 35:[50, 60, 2], Operations: ['37-35=2'] Exploring Operation: 50/2=25, Resulting Numbers: [60, 25] Generated Node #3: [60, 25] from Operation: 50/2=25 Current State: 35:[60, 25], Operations: ['37-35=2', '50/2=25'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 7, 63, 66 ]
33
[ "66-63=3", "7*3=21", "12+21=33" ]
Current State: 33:[12, 7, 63, 66], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [12, 7, 3] Generated Node #2: [12, 7, 3] from Operation: 66-63=3 Current State: 33:[12, 7, 3], Operations: ['66-63=3'] Exploring Operation: 7*3=21, Resulting Numbers: [12, 21] Generated Node #3: [12, 21] from Operation: 7*3=21 Current State: 33:[12, 21], Operations: ['66-63=3', '7*3=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 33, 62, 22, 9 ]
42
[ "62-33=29", "22-9=13", "29+13=42" ]
Current State: 42:[33, 62, 22, 9], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [22, 9, 29] Generated Node #2: [22, 9, 29] from Operation: 62-33=29 Current State: 42:[22, 9, 29], Operations: ['62-33=29'] Exploring Operation: 22-9=13, Resulting Numbers: [29, 13] Generated Node #3: [29, 13] from Operation: 22-9=13 Current State: 42:[29, 13], Operations: ['62-33=29', '22-9=13'] Exploring Operation: 29+13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 82, 60, 16, 12 ]
26
[ "82-60=22", "16-12=4", "22+4=26" ]
Current State: 26:[82, 60, 16, 12], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [16, 12, 22] Generated Node #2: [16, 12, 22] from Operation: 82-60=22 Current State: 26:[16, 12, 22], Operations: ['82-60=22'] Exploring Operation: 16-12=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 16-12=4 Current State: 26:[22, 4], Operations: ['82-60=22', '16-12=4'] Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 68, 38, 73, 22 ]
72
[ "73-68=5", "22*5=110", "110-38=72" ]
Current State: 72:[68, 38, 73, 22], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [38, 22, 5] Generated Node #2: [38, 22, 5] from Operation: 73-68=5 Current State: 72:[38, 22, 5], Operations: ['73-68=5'] Exploring Operation: 22*5=110, Resulting Numbers: [38, 110] Generated Node #3: [38, 110] from Operation: 22*5=110 Current State: 72:[38, 110], Operations: ['73-68=5', '22*5=110'] Exploring Operation: 110-38=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 68, 36, 3 ]
100
[ "6*68=408", "408/3=136", "136-36=100" ]
Current State: 100:[6, 68, 36, 3], Operations: [] Exploring Operation: 6*68=408, Resulting Numbers: [36, 3, 408] Generated Node #2: [36, 3, 408] from Operation: 6*68=408 Current State: 100:[36, 3, 408], Operations: ['6*68=408'] Exploring Operation: 408/3=136, Resulting Numbers: [36, 136] Generated Node #3: [36, 136] from Operation: 408/3=136 Current State: 100:[36, 136], Operations: ['6*68=408', '408/3=136'] Exploring Operation: 136-36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 86, 52, 81 ]
41
[ "86-81=5", "55/5=11", "52-11=41" ]
Current State: 41:[55, 86, 52, 81], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [55, 52, 5] Generated Node #2: [55, 52, 5] from Operation: 86-81=5 Current State: 41:[55, 52, 5], Operations: ['86-81=5'] Exploring Operation: 55/5=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 55/5=11 Current State: 41:[52, 11], Operations: ['86-81=5', '55/5=11'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 45, 28, 61 ]
36
[ "24+45=69", "61-28=33", "69-33=36" ]
Current State: 36:[24, 45, 28, 61], Operations: [] Exploring Operation: 24+45=69, Resulting Numbers: [28, 61, 69] Generated Node #2: [28, 61, 69] from Operation: 24+45=69 Current State: 36:[28, 61, 69], Operations: ['24+45=69'] Exploring Operation: 61-28=33, Resulting Numbers: [69, 33] Generated Node #3: [69, 33] from Operation: 61-28=33 Current State: 36:[69, 33], Operations: ['24+45=69', '61-28=33'] Exploring Operation: 69-33=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4