Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 46, 60, 63, 93 ]
29
[ "46*60=2760", "2760-63=2697", "2697/93=29" ]
Current State: 29:[46, 60, 63, 93], Operations: [] Exploring Operation: 46*60=2760, Resulting Numbers: [63, 93, 2760] Generated Node #2: [63, 93, 2760] from Operation: 46*60=2760 Current State: 29:[63, 93, 2760], Operations: ['46*60=2760'] Exploring Operation: 2760-63=2697, Resulting Numbers: [93, 2697] Generated Node #3: [93, 2697] from Operation: 2760-63=2697 Current State: 29:[93, 2697], Operations: ['46*60=2760', '2760-63=2697'] Exploring Operation: 2697/93=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 13, 5, 92 ]
82
[ "13*13=169", "92-5=87", "169-87=82" ]
Current State: 82:[13, 13, 5, 92], Operations: [] Exploring Operation: 13*13=169, Resulting Numbers: [5, 92, 169] Generated Node #2: [5, 92, 169] from Operation: 13*13=169 Current State: 82:[5, 92, 169], Operations: ['13*13=169'] Exploring Operation: 92-5=87, Resulting Numbers: [169, 87] Generated Node #3: [169, 87] from Operation: 92-5=87 Current State: 82:[169, 87], Operations: ['13*13=169', '92-5=87'] Exploring Operation: 169-87=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 60, 7, 10 ]
71
[ "60/60=1", "7*10=70", "1+70=71" ]
Current State: 71:[60, 60, 7, 10], Operations: [] Exploring Operation: 60/60=1, Resulting Numbers: [7, 10, 1] Generated Node #2: [7, 10, 1] from Operation: 60/60=1 Current State: 71:[7, 10, 1], Operations: ['60/60=1'] Exploring Operation: 7*10=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 7*10=70 Current State: 71:[1, 70], Operations: ['60/60=1', '7*10=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 85, 58, 47 ]
98
[ "92-85=7", "58+47=105", "105-7=98" ]
Current State: 98:[92, 85, 58, 47], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [58, 47, 7] Generated Node #2: [58, 47, 7] from Operation: 92-85=7 Current State: 98:[58, 47, 7], Operations: ['92-85=7'] Exploring Operation: 58+47=105, Resulting Numbers: [7, 105] Generated Node #3: [7, 105] from Operation: 58+47=105 Current State: 98:[7, 105], Operations: ['92-85=7', '58+47=105'] Exploring Operation: 105-7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 42, 82, 18, 75 ]
53
[ "82-42=40", "18+75=93", "93-40=53" ]
Current State: 53:[42, 82, 18, 75], Operations: [] Exploring Operation: 82-42=40, Resulting Numbers: [18, 75, 40] Generated Node #2: [18, 75, 40] from Operation: 82-42=40 Current State: 53:[18, 75, 40], Operations: ['82-42=40'] Exploring Operation: 18+75=93, Resulting Numbers: [40, 93] Generated Node #3: [40, 93] from Operation: 18+75=93 Current State: 53:[40, 93], Operations: ['82-42=40', '18+75=93'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 42, 28, 34, 12 ]
92
[ "42+28=70", "34-12=22", "70+22=92" ]
Current State: 92:[42, 28, 34, 12], Operations: [] Exploring Operation: 42+28=70, Resulting Numbers: [34, 12, 70] Generated Node #2: [34, 12, 70] from Operation: 42+28=70 Current State: 92:[34, 12, 70], Operations: ['42+28=70'] Exploring Operation: 34-12=22, Resulting Numbers: [70, 22] Generated Node #3: [70, 22] from Operation: 34-12=22 Current State: 92:[70, 22], Operations: ['42+28=70', '34-12=22'] Exploring Operation: 70+22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 98, 33, 6 ]
59
[ "98+6=104", "104/4=26", "33+26=59" ]
Current State: 59:[4, 98, 33, 6], Operations: [] Exploring Operation: 98+6=104, Resulting Numbers: [4, 33, 104] Generated Node #2: [4, 33, 104] from Operation: 98+6=104 Current State: 59:[4, 33, 104], Operations: ['98+6=104'] Exploring Operation: 104/4=26, Resulting Numbers: [33, 26] Generated Node #3: [33, 26] from Operation: 104/4=26 Current State: 59:[33, 26], Operations: ['98+6=104', '104/4=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 38, 33, 45, 7 ]
57
[ "38-33=5", "45+7=52", "5+52=57" ]
Current State: 57:[38, 33, 45, 7], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [45, 7, 5] Generated Node #2: [45, 7, 5] from Operation: 38-33=5 Current State: 57:[45, 7, 5], Operations: ['38-33=5'] Exploring Operation: 45+7=52, Resulting Numbers: [5, 52] Generated Node #3: [5, 52] from Operation: 45+7=52 Current State: 57:[5, 52], Operations: ['38-33=5', '45+7=52'] Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 60, 40, 57 ]
41
[ "83+40=123", "60-57=3", "123/3=41" ]
Current State: 41:[83, 60, 40, 57], Operations: [] Exploring Operation: 83+40=123, Resulting Numbers: [60, 57, 123] Generated Node #2: [60, 57, 123] from Operation: 83+40=123 Current State: 41:[60, 57, 123], Operations: ['83+40=123'] Exploring Operation: 60-57=3, Resulting Numbers: [123, 3] Generated Node #3: [123, 3] from Operation: 60-57=3 Current State: 41:[123, 3], Operations: ['83+40=123', '60-57=3'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 26, 56, 65, 63 ]
15
[ "56-26=30", "65-63=2", "30/2=15" ]
Current State: 15:[26, 56, 65, 63], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [65, 63, 30] Generated Node #2: [65, 63, 30] from Operation: 56-26=30 Current State: 15:[65, 63, 30], Operations: ['56-26=30'] Exploring Operation: 65-63=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 65-63=2 Current State: 15:[30, 2], Operations: ['56-26=30', '65-63=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 87, 77, 27, 70 ]
34
[ "87-77=10", "70/10=7", "27+7=34" ]
Current State: 34:[87, 77, 27, 70], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [27, 70, 10] Generated Node #2: [27, 70, 10] from Operation: 87-77=10 Current State: 34:[27, 70, 10], Operations: ['87-77=10'] Exploring Operation: 70/10=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 70/10=7 Current State: 34:[27, 7], Operations: ['87-77=10', '70/10=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 4, 97, 13 ]
15
[ "38+97=135", "13-4=9", "135/9=15" ]
Current State: 15:[38, 4, 97, 13], Operations: [] Exploring Operation: 38+97=135, Resulting Numbers: [4, 13, 135] Generated Node #2: [4, 13, 135] from Operation: 38+97=135 Current State: 15:[4, 13, 135], Operations: ['38+97=135'] Exploring Operation: 13-4=9, Resulting Numbers: [135, 9] Generated Node #3: [135, 9] from Operation: 13-4=9 Current State: 15:[135, 9], Operations: ['38+97=135', '13-4=9'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 88, 43, 46, 12 ]
52
[ "46-43=3", "12*3=36", "88-36=52" ]
Current State: 52:[88, 43, 46, 12], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [88, 12, 3] Generated Node #2: [88, 12, 3] from Operation: 46-43=3 Current State: 52:[88, 12, 3], Operations: ['46-43=3'] Exploring Operation: 12*3=36, Resulting Numbers: [88, 36] Generated Node #3: [88, 36] from Operation: 12*3=36 Current State: 52:[88, 36], Operations: ['46-43=3', '12*3=36'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 26, 4, 2 ]
37
[ "26-4=22", "2*22=44", "44-7=37" ]
Current State: 37:[7, 26, 4, 2], Operations: [] Exploring Operation: 26-4=22, Resulting Numbers: [7, 2, 22] Generated Node #2: [7, 2, 22] from Operation: 26-4=22 Current State: 37:[7, 2, 22], Operations: ['26-4=22'] Exploring Operation: 2*22=44, Resulting Numbers: [7, 44] Generated Node #3: [7, 44] from Operation: 2*22=44 Current State: 37:[7, 44], Operations: ['26-4=22', '2*22=44'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 54, 29, 17 ]
41
[ "83-54=29", "29-17=12", "29+12=41" ]
Current State: 41:[83, 54, 29, 17], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [29, 17, 29] Generated Node #2: [29, 17, 29] from Operation: 83-54=29 Current State: 41:[29, 17, 29], Operations: ['83-54=29'] Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,41 equal: Goal Reached Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 56, 3, 10, 1 ]
92
[ "56-10=46", "3-1=2", "46*2=92" ]
Current State: 92:[56, 3, 10, 1], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [3, 1, 46] Generated Node #2: [3, 1, 46] from Operation: 56-10=46 Current State: 92:[3, 1, 46], Operations: ['56-10=46'] Exploring Operation: 3-1=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 3-1=2 Current State: 92:[46, 2], Operations: ['56-10=46', '3-1=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 22, 46, 37 ]
60
[ "73-22=51", "46-37=9", "51+9=60" ]
Current State: 60:[73, 22, 46, 37], Operations: [] Exploring Operation: 73-22=51, Resulting Numbers: [46, 37, 51] Generated Node #2: [46, 37, 51] from Operation: 73-22=51 Current State: 60:[46, 37, 51], Operations: ['73-22=51'] Exploring Operation: 46-37=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 46-37=9 Current State: 60:[51, 9], Operations: ['73-22=51', '46-37=9'] Exploring Operation: 51+9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 30, 58, 17 ]
78
[ "64-58=6", "30-17=13", "6*13=78" ]
Current State: 78:[64, 30, 58, 17], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [30, 17, 6] Generated Node #2: [30, 17, 6] from Operation: 64-58=6 Current State: 78:[30, 17, 6], Operations: ['64-58=6'] Exploring Operation: 30-17=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 30-17=13 Current State: 78:[6, 13], Operations: ['64-58=6', '30-17=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 77, 3, 93, 38 ]
66
[ "93-77=16", "38-16=22", "3*22=66" ]
Current State: 66:[77, 3, 93, 38], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [3, 38, 16] Generated Node #2: [3, 38, 16] from Operation: 93-77=16 Current State: 66:[3, 38, 16], Operations: ['93-77=16'] Exploring Operation: 38-16=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 38-16=22 Current State: 66:[3, 22], Operations: ['93-77=16', '38-16=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 3, 73, 37, 50 ]
62
[ "73-37=36", "36/3=12", "50+12=62" ]
Current State: 62:[3, 73, 37, 50], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [3, 50, 36] Generated Node #2: [3, 50, 36] from Operation: 73-37=36 Current State: 62:[3, 50, 36], Operations: ['73-37=36'] Exploring Operation: 36/3=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 36/3=12 Current State: 62:[50, 12], Operations: ['73-37=36', '36/3=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 69, 39, 72 ]
24
[ "69-27=42", "42-39=3", "72/3=24" ]
Current State: 24:[27, 69, 39, 72], Operations: [] Exploring Operation: 69-27=42, Resulting Numbers: [39, 72, 42] Generated Node #2: [39, 72, 42] from Operation: 69-27=42 Current State: 24:[39, 72, 42], Operations: ['69-27=42'] Exploring Operation: 42-39=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 42-39=3 Current State: 24:[72, 3], Operations: ['69-27=42', '42-39=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 10, 73, 78 ]
26
[ "13*10=130", "78-73=5", "130/5=26" ]
Current State: 26:[13, 10, 73, 78], Operations: [] Exploring Operation: 13*10=130, Resulting Numbers: [73, 78, 130] Generated Node #2: [73, 78, 130] from Operation: 13*10=130 Current State: 26:[73, 78, 130], Operations: ['13*10=130'] Exploring Operation: 78-73=5, Resulting Numbers: [130, 5] Generated Node #3: [130, 5] from Operation: 78-73=5 Current State: 26:[130, 5], Operations: ['13*10=130', '78-73=5'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 10, 3, 44 ]
74
[ "48+10=58", "3*44=132", "132-58=74" ]
Current State: 74:[48, 10, 3, 44], Operations: [] Exploring Operation: 48+10=58, Resulting Numbers: [3, 44, 58] Generated Node #2: [3, 44, 58] from Operation: 48+10=58 Current State: 74:[3, 44, 58], Operations: ['48+10=58'] Exploring Operation: 3*44=132, Resulting Numbers: [58, 132] Generated Node #3: [58, 132] from Operation: 3*44=132 Current State: 74:[58, 132], Operations: ['48+10=58', '3*44=132'] Exploring Operation: 132-58=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 82, 78, 1, 37 ]
41
[ "82-78=4", "1*37=37", "4+37=41" ]
Current State: 41:[82, 78, 1, 37], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [1, 37, 4] Generated Node #2: [1, 37, 4] from Operation: 82-78=4 Current State: 41:[1, 37, 4], Operations: ['82-78=4'] Exploring Operation: 1*37=37, Resulting Numbers: [4, 37] Generated Node #3: [4, 37] from Operation: 1*37=37 Current State: 41:[4, 37], Operations: ['82-78=4', '1*37=37'] Exploring Operation: 4+37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 67, 35, 56, 5 ]
90
[ "67-56=11", "5*11=55", "35+55=90" ]
Current State: 90:[67, 35, 56, 5], Operations: [] Exploring Operation: 67-56=11, Resulting Numbers: [35, 5, 11] Generated Node #2: [35, 5, 11] from Operation: 67-56=11 Current State: 90:[35, 5, 11], Operations: ['67-56=11'] Exploring Operation: 5*11=55, Resulting Numbers: [35, 55] Generated Node #3: [35, 55] from Operation: 5*11=55 Current State: 90:[35, 55], Operations: ['67-56=11', '5*11=55'] Exploring Operation: 35+55=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 72, 28, 30 ]
46
[ "72-28=44", "30-28=2", "44+2=46" ]
Current State: 46:[28, 72, 28, 30], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [30, 44] Generated Node #2: [30, 44] from Operation: 72-28=44 Current State: 46:[30, 44], Operations: ['72-28=44'] Exploring Operation: 30-28=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 30-28=2 Current State: 46:[44, 2], Operations: ['72-28=44', '30-28=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 51, 2, 79 ]
50
[ "79-27=52", "51*2=102", "102-52=50" ]
Current State: 50:[27, 51, 2, 79], Operations: [] Exploring Operation: 79-27=52, Resulting Numbers: [51, 2, 52] Generated Node #2: [51, 2, 52] from Operation: 79-27=52 Current State: 50:[51, 2, 52], Operations: ['79-27=52'] Exploring Operation: 51*2=102, Resulting Numbers: [52, 102] Generated Node #3: [52, 102] from Operation: 51*2=102 Current State: 50:[52, 102], Operations: ['79-27=52', '51*2=102'] Exploring Operation: 102-52=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 19, 31, 31 ]
19
[ "1+19=20", "31/31=1", "20-1=19" ]
Current State: 19:[1, 19, 31, 31], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [31, 31, 20] Generated Node #2: [31, 31, 20] from Operation: 1+19=20 Current State: 19:[31, 31, 20], Operations: ['1+19=20'] Exploring Operation: 31/31=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 31/31=1 Current State: 19:[20, 1], Operations: ['1+19=20', '31/31=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 34, 72, 41, 29 ]
36
[ "34+72=106", "41+29=70", "106-70=36" ]
Current State: 36:[34, 72, 41, 29], Operations: [] Exploring Operation: 34+72=106, Resulting Numbers: [41, 29, 106] Generated Node #2: [41, 29, 106] from Operation: 34+72=106 Current State: 36:[41, 29, 106], Operations: ['34+72=106'] Exploring Operation: 41+29=70, Resulting Numbers: [106, 70] Generated Node #3: [106, 70] from Operation: 41+29=70 Current State: 36:[106, 70], Operations: ['34+72=106', '41+29=70'] Exploring Operation: 106-70=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 2, 45, 86 ]
45
[ "6-2=4", "86-45=41", "4+41=45" ]
Current State: 45:[6, 2, 45, 86], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [45, 86, 4] Generated Node #2: [45, 86, 4] from Operation: 6-2=4 Current State: 45:[45, 86, 4], Operations: ['6-2=4'] Exploring Operation: 86-45=41, Resulting Numbers: [4, 41] Generated Node #3: [4, 41] from Operation: 86-45=41 Current State: 45:[4, 41], Operations: ['6-2=4', '86-45=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 68, 34, 42 ]
66
[ "68/34=2", "42*2=84", "84-18=66" ]
Current State: 66:[18, 68, 34, 42], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [18, 42, 2] Generated Node #2: [18, 42, 2] from Operation: 68/34=2 Current State: 66:[18, 42, 2], Operations: ['68/34=2'] Exploring Operation: 42*2=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 42*2=84 Current State: 66:[18, 84], Operations: ['68/34=2', '42*2=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 74, 69, 34, 50 ]
79
[ "74-69=5", "34+50=84", "84-5=79" ]
Current State: 79:[74, 69, 34, 50], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [34, 50, 5] Generated Node #2: [34, 50, 5] from Operation: 74-69=5 Current State: 79:[34, 50, 5], Operations: ['74-69=5'] Exploring Operation: 34+50=84, Resulting Numbers: [5, 84] Generated Node #3: [5, 84] from Operation: 34+50=84 Current State: 79:[5, 84], Operations: ['74-69=5', '34+50=84'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 90, 37, 40, 60 ]
33
[ "90-37=53", "60-40=20", "53-20=33" ]
Current State: 33:[90, 37, 40, 60], Operations: [] Exploring Operation: 90-37=53, Resulting Numbers: [40, 60, 53] Generated Node #2: [40, 60, 53] from Operation: 90-37=53 Current State: 33:[40, 60, 53], Operations: ['90-37=53'] Exploring Operation: 60-40=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 60-40=20 Current State: 33:[53, 20], Operations: ['90-37=53', '60-40=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 62, 68, 79, 41 ]
44
[ "68-62=6", "79-41=38", "6+38=44" ]
Current State: 44:[62, 68, 79, 41], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [79, 41, 6] Generated Node #2: [79, 41, 6] from Operation: 68-62=6 Current State: 44:[79, 41, 6], Operations: ['68-62=6'] Exploring Operation: 79-41=38, Resulting Numbers: [6, 38] Generated Node #3: [6, 38] from Operation: 79-41=38 Current State: 44:[6, 38], Operations: ['68-62=6', '79-41=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 3, 99, 6 ]
74
[ "99-3=96", "96/6=16", "58+16=74" ]
Current State: 74:[58, 3, 99, 6], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [58, 6, 96] Generated Node #2: [58, 6, 96] from Operation: 99-3=96 Current State: 74:[58, 6, 96], Operations: ['99-3=96'] Exploring Operation: 96/6=16, Resulting Numbers: [58, 16] Generated Node #3: [58, 16] from Operation: 96/6=16 Current State: 74:[58, 16], Operations: ['99-3=96', '96/6=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 68, 10, 4, 64 ]
23
[ "68+64=132", "132/4=33", "33-10=23" ]
Current State: 23:[68, 10, 4, 64], Operations: [] Exploring Operation: 68+64=132, Resulting Numbers: [10, 4, 132] Generated Node #2: [10, 4, 132] from Operation: 68+64=132 Current State: 23:[10, 4, 132], Operations: ['68+64=132'] Exploring Operation: 132/4=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 132/4=33 Current State: 23:[10, 33], Operations: ['68+64=132', '132/4=33'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 50, 2, 46, 28 ]
60
[ "50-46=4", "2*28=56", "4+56=60" ]
Current State: 60:[50, 2, 46, 28], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [2, 28, 4] Generated Node #2: [2, 28, 4] from Operation: 50-46=4 Current State: 60:[2, 28, 4], Operations: ['50-46=4'] Exploring Operation: 2*28=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 2*28=56 Current State: 60:[4, 56], Operations: ['50-46=4', '2*28=56'] Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 77, 90, 95, 45 ]
20
[ "95-77=18", "90/45=2", "18+2=20" ]
Current State: 20:[77, 90, 95, 45], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [90, 45, 18] Generated Node #2: [90, 45, 18] from Operation: 95-77=18 Current State: 20:[90, 45, 18], Operations: ['95-77=18'] Exploring Operation: 90/45=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 90/45=2 Current State: 20:[18, 2], Operations: ['95-77=18', '90/45=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 41, 84, 31 ]
77
[ "41-3=38", "84+31=115", "115-38=77" ]
Current State: 77:[3, 41, 84, 31], Operations: [] Exploring Operation: 41-3=38, Resulting Numbers: [84, 31, 38] Generated Node #2: [84, 31, 38] from Operation: 41-3=38 Current State: 77:[84, 31, 38], Operations: ['41-3=38'] Exploring Operation: 84+31=115, Resulting Numbers: [38, 115] Generated Node #3: [38, 115] from Operation: 84+31=115 Current State: 77:[38, 115], Operations: ['41-3=38', '84+31=115'] Exploring Operation: 115-38=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 66, 36, 63, 9 ]
24
[ "66-36=30", "63-9=54", "54-30=24" ]
Current State: 24:[66, 36, 63, 9], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [63, 9, 30] Generated Node #2: [63, 9, 30] from Operation: 66-36=30 Current State: 24:[63, 9, 30], Operations: ['66-36=30'] Exploring Operation: 63-9=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 63-9=54 Current State: 24:[30, 54], Operations: ['66-36=30', '63-9=54'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 1, 19, 81 ]
43
[ "2*1=2", "19*2=38", "81-38=43" ]
Current State: 43:[2, 1, 19, 81], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [19, 81, 2] Generated Node #2: [19, 81, 2] from Operation: 2*1=2 Current State: 43:[19, 81, 2], Operations: ['2*1=2'] Exploring Operation: 19*2=38, Resulting Numbers: [81, 38] Generated Node #3: [81, 38] from Operation: 19*2=38 Current State: 43:[81, 38], Operations: ['2*1=2', '19*2=38'] Exploring Operation: 81-38=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 2, 22, 23 ]
11
[ "2+22=24", "24/2=12", "23-12=11" ]
Current State: 11:[2, 2, 22, 23], Operations: [] Exploring Operation: 2+22=24, Resulting Numbers: [23, 24] Generated Node #2: [23, 24] from Operation: 2+22=24 Current State: 11:[23, 24], Operations: ['2+22=24'] Exploring Operation: 24/2=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 24/2=12 Current State: 11:[23, 12], Operations: ['2+22=24', '24/2=12'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 23, 17, 33 ]
44
[ "2*17=34", "33-23=10", "34+10=44" ]
Current State: 44:[2, 23, 17, 33], Operations: [] Exploring Operation: 2*17=34, Resulting Numbers: [23, 33, 34] Generated Node #2: [23, 33, 34] from Operation: 2*17=34 Current State: 44:[23, 33, 34], Operations: ['2*17=34'] Exploring Operation: 33-23=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 33-23=10 Current State: 44:[34, 10], Operations: ['2*17=34', '33-23=10'] Exploring Operation: 34+10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 81, 24, 4 ]
58
[ "4/4=1", "81-24=57", "1+57=58" ]
Current State: 58:[4, 81, 24, 4], Operations: [] Exploring Operation: 4/4=1, Resulting Numbers: [81, 24, 1] Generated Node #2: [81, 24, 1] from Operation: 4/4=1 Current State: 58:[81, 24, 1], Operations: ['4/4=1'] Exploring Operation: 81-24=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 81-24=57 Current State: 58:[1, 57], Operations: ['4/4=1', '81-24=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 61, 33, 8 ]
11
[ "61-31=30", "33+8=41", "41-30=11" ]
Current State: 11:[31, 61, 33, 8], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [33, 8, 30] Generated Node #2: [33, 8, 30] from Operation: 61-31=30 Current State: 11:[33, 8, 30], Operations: ['61-31=30'] Exploring Operation: 33+8=41, Resulting Numbers: [30, 41] Generated Node #3: [30, 41] from Operation: 33+8=41 Current State: 11:[30, 41], Operations: ['61-31=30', '33+8=41'] Exploring Operation: 41-30=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 45, 63, 82, 79 ]
36
[ "45+63=108", "82-79=3", "108/3=36" ]
Current State: 36:[45, 63, 82, 79], Operations: [] Exploring Operation: 45+63=108, Resulting Numbers: [82, 79, 108] Generated Node #2: [82, 79, 108] from Operation: 45+63=108 Current State: 36:[82, 79, 108], Operations: ['45+63=108'] Exploring Operation: 82-79=3, Resulting Numbers: [108, 3] Generated Node #3: [108, 3] from Operation: 82-79=3 Current State: 36:[108, 3], Operations: ['45+63=108', '82-79=3'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 79, 31, 61, 59 ]
50
[ "79-31=48", "61-59=2", "48+2=50" ]
Current State: 50:[79, 31, 61, 59], Operations: [] Exploring Operation: 79-31=48, Resulting Numbers: [61, 59, 48] Generated Node #2: [61, 59, 48] from Operation: 79-31=48 Current State: 50:[61, 59, 48], Operations: ['79-31=48'] Exploring Operation: 61-59=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 61-59=2 Current State: 50:[48, 2], Operations: ['79-31=48', '61-59=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 56, 90, 37 ]
97
[ "45-37=8", "56/8=7", "90+7=97" ]
Current State: 97:[45, 56, 90, 37], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [56, 90, 8] Generated Node #2: [56, 90, 8] from Operation: 45-37=8 Current State: 97:[56, 90, 8], Operations: ['45-37=8'] Exploring Operation: 56/8=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 56/8=7 Current State: 97:[90, 7], Operations: ['45-37=8', '56/8=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 68, 90, 16 ]
57
[ "63+68=131", "90-16=74", "131-74=57" ]
Current State: 57:[63, 68, 90, 16], Operations: [] Exploring Operation: 63+68=131, Resulting Numbers: [90, 16, 131] Generated Node #2: [90, 16, 131] from Operation: 63+68=131 Current State: 57:[90, 16, 131], Operations: ['63+68=131'] Exploring Operation: 90-16=74, Resulting Numbers: [131, 74] Generated Node #3: [131, 74] from Operation: 90-16=74 Current State: 57:[131, 74], Operations: ['63+68=131', '90-16=74'] Exploring Operation: 131-74=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 16, 54, 18 ]
93
[ "5+16=21", "54+18=72", "21+72=93" ]
Current State: 93:[5, 16, 54, 18], Operations: [] Exploring Operation: 5+16=21, Resulting Numbers: [54, 18, 21] Generated Node #2: [54, 18, 21] from Operation: 5+16=21 Current State: 93:[54, 18, 21], Operations: ['5+16=21'] Exploring Operation: 54+18=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 54+18=72 Current State: 93:[21, 72], Operations: ['5+16=21', '54+18=72'] Exploring Operation: 21+72=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 45, 2, 33, 3 ]
96
[ "45-2=43", "3*43=129", "129-33=96" ]
Current State: 96:[45, 2, 33, 3], Operations: [] Exploring Operation: 45-2=43, Resulting Numbers: [33, 3, 43] Generated Node #2: [33, 3, 43] from Operation: 45-2=43 Current State: 96:[33, 3, 43], Operations: ['45-2=43'] Exploring Operation: 3*43=129, Resulting Numbers: [33, 129] Generated Node #3: [33, 129] from Operation: 3*43=129 Current State: 96:[33, 129], Operations: ['45-2=43', '3*43=129'] Exploring Operation: 129-33=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 49, 58, 70, 20 ]
35
[ "49-20=29", "58/29=2", "70/2=35" ]
Current State: 35:[49, 58, 70, 20], Operations: [] Exploring Operation: 49-20=29, Resulting Numbers: [58, 70, 29] Generated Node #2: [58, 70, 29] from Operation: 49-20=29 Current State: 35:[58, 70, 29], Operations: ['49-20=29'] Exploring Operation: 58/29=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 58/29=2 Current State: 35:[70, 2], Operations: ['49-20=29', '58/29=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 54, 15, 16 ]
46
[ "54-7=47", "16-15=1", "47-1=46" ]
Current State: 46:[7, 54, 15, 16], Operations: [] Exploring Operation: 54-7=47, Resulting Numbers: [15, 16, 47] Generated Node #2: [15, 16, 47] from Operation: 54-7=47 Current State: 46:[15, 16, 47], Operations: ['54-7=47'] Exploring Operation: 16-15=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 16-15=1 Current State: 46:[47, 1], Operations: ['54-7=47', '16-15=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 55, 60, 7 ]
58
[ "2*60=120", "55+7=62", "120-62=58" ]
Current State: 58:[2, 55, 60, 7], Operations: [] Exploring Operation: 2*60=120, Resulting Numbers: [55, 7, 120] Generated Node #2: [55, 7, 120] from Operation: 2*60=120 Current State: 58:[55, 7, 120], Operations: ['2*60=120'] Exploring Operation: 55+7=62, Resulting Numbers: [120, 62] Generated Node #3: [120, 62] from Operation: 55+7=62 Current State: 58:[120, 62], Operations: ['2*60=120', '55+7=62'] Exploring Operation: 120-62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 57, 17, 73 ]
77
[ "76+57=133", "73-17=56", "133-56=77" ]
Current State: 77:[76, 57, 17, 73], Operations: [] Exploring Operation: 76+57=133, Resulting Numbers: [17, 73, 133] Generated Node #2: [17, 73, 133] from Operation: 76+57=133 Current State: 77:[17, 73, 133], Operations: ['76+57=133'] Exploring Operation: 73-17=56, Resulting Numbers: [133, 56] Generated Node #3: [133, 56] from Operation: 73-17=56 Current State: 77:[133, 56], Operations: ['76+57=133', '73-17=56'] Exploring Operation: 133-56=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 67, 82, 6, 76 ]
14
[ "82-67=15", "6*15=90", "90-76=14" ]
Current State: 14:[67, 82, 6, 76], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [6, 76, 15] Generated Node #2: [6, 76, 15] from Operation: 82-67=15 Current State: 14:[6, 76, 15], Operations: ['82-67=15'] Exploring Operation: 6*15=90, Resulting Numbers: [76, 90] Generated Node #3: [76, 90] from Operation: 6*15=90 Current State: 14:[76, 90], Operations: ['82-67=15', '6*15=90'] Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 54, 36, 2 ]
71
[ "36-2=34", "34/2=17", "54+17=71" ]
Current State: 71:[2, 54, 36, 2], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [54, 34] Generated Node #2: [54, 34] from Operation: 36-2=34 Current State: 71:[54, 34], Operations: ['36-2=34'] Exploring Operation: 34/2=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 34/2=17 Current State: 71:[54, 17], Operations: ['36-2=34', '34/2=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 33, 2, 60 ]
32
[ "33-19=14", "2*14=28", "60-28=32" ]
Current State: 32:[19, 33, 2, 60], Operations: [] Exploring Operation: 33-19=14, Resulting Numbers: [2, 60, 14] Generated Node #2: [2, 60, 14] from Operation: 33-19=14 Current State: 32:[2, 60, 14], Operations: ['33-19=14'] Exploring Operation: 2*14=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 2*14=28 Current State: 32:[60, 28], Operations: ['33-19=14', '2*14=28'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 25, 68, 47 ]
86
[ "4+25=29", "68+47=115", "115-29=86" ]
Current State: 86:[4, 25, 68, 47], Operations: [] Exploring Operation: 4+25=29, Resulting Numbers: [68, 47, 29] Generated Node #2: [68, 47, 29] from Operation: 4+25=29 Current State: 86:[68, 47, 29], Operations: ['4+25=29'] Exploring Operation: 68+47=115, Resulting Numbers: [29, 115] Generated Node #3: [29, 115] from Operation: 68+47=115 Current State: 86:[29, 115], Operations: ['4+25=29', '68+47=115'] Exploring Operation: 115-29=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 24, 43, 30 ]
18
[ "43-40=3", "24+30=54", "54/3=18" ]
Current State: 18:[40, 24, 43, 30], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [24, 30, 3] Generated Node #2: [24, 30, 3] from Operation: 43-40=3 Current State: 18:[24, 30, 3], Operations: ['43-40=3'] Exploring Operation: 24+30=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 24+30=54 Current State: 18:[3, 54], Operations: ['43-40=3', '24+30=54'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 1, 78, 90 ]
38
[ "50*1=50", "90-78=12", "50-12=38" ]
Current State: 38:[50, 1, 78, 90], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [78, 90, 50] Generated Node #2: [78, 90, 50] from Operation: 50*1=50 Current State: 38:[78, 90, 50], Operations: ['50*1=50'] Exploring Operation: 90-78=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 90-78=12 Current State: 38:[50, 12], Operations: ['50*1=50', '90-78=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 47, 31, 46, 87 ]
90
[ "47+46=93", "93/31=3", "87+3=90" ]
Current State: 90:[47, 31, 46, 87], Operations: [] Exploring Operation: 47+46=93, Resulting Numbers: [31, 87, 93] Generated Node #2: [31, 87, 93] from Operation: 47+46=93 Current State: 90:[31, 87, 93], Operations: ['47+46=93'] Exploring Operation: 93/31=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 93/31=3 Current State: 90:[87, 3], Operations: ['47+46=93', '93/31=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 11, 60, 9, 74 ]
55
[ "60+9=69", "74-69=5", "11*5=55" ]
Current State: 55:[11, 60, 9, 74], Operations: [] Exploring Operation: 60+9=69, Resulting Numbers: [11, 74, 69] Generated Node #2: [11, 74, 69] from Operation: 60+9=69 Current State: 55:[11, 74, 69], Operations: ['60+9=69'] Exploring Operation: 74-69=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 74-69=5 Current State: 55:[11, 5], Operations: ['60+9=69', '74-69=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 71, 13, 15, 2 ]
62
[ "13*15=195", "195-71=124", "124/2=62" ]
Current State: 62:[71, 13, 15, 2], Operations: [] Exploring Operation: 13*15=195, Resulting Numbers: [71, 2, 195] Generated Node #2: [71, 2, 195] from Operation: 13*15=195 Current State: 62:[71, 2, 195], Operations: ['13*15=195'] Exploring Operation: 195-71=124, Resulting Numbers: [2, 124] Generated Node #3: [2, 124] from Operation: 195-71=124 Current State: 62:[2, 124], Operations: ['13*15=195', '195-71=124'] Exploring Operation: 124/2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 74, 93, 19, 38 ]
76
[ "93-74=19", "19+38=57", "19+57=76" ]
Current State: 76:[74, 93, 19, 38], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [19, 38, 19] Generated Node #2: [19, 38, 19] from Operation: 93-74=19 Current State: 76:[19, 38, 19], Operations: ['93-74=19'] Exploring Operation: 19+38=57, Resulting Numbers: [57] 57,76 equal: Goal Reached Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 38, 71, 62, 5 ]
49
[ "62-38=24", "5*24=120", "120-71=49" ]
Current State: 49:[38, 71, 62, 5], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [71, 5, 24] Generated Node #2: [71, 5, 24] from Operation: 62-38=24 Current State: 49:[71, 5, 24], Operations: ['62-38=24'] Exploring Operation: 5*24=120, Resulting Numbers: [71, 120] Generated Node #3: [71, 120] from Operation: 5*24=120 Current State: 49:[71, 120], Operations: ['62-38=24', '5*24=120'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 86, 91, 25 ]
21
[ "73*25=1825", "86+1825=1911", "1911/91=21" ]
Current State: 21:[73, 86, 91, 25], Operations: [] Exploring Operation: 73*25=1825, Resulting Numbers: [86, 91, 1825] Generated Node #2: [86, 91, 1825] from Operation: 73*25=1825 Current State: 21:[86, 91, 1825], Operations: ['73*25=1825'] Exploring Operation: 86+1825=1911, Resulting Numbers: [91, 1911] Generated Node #3: [91, 1911] from Operation: 86+1825=1911 Current State: 21:[91, 1911], Operations: ['73*25=1825', '86+1825=1911'] Exploring Operation: 1911/91=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 55, 84, 6, 26 ]
58
[ "84-6=78", "78/26=3", "55+3=58" ]
Current State: 58:[55, 84, 6, 26], Operations: [] Exploring Operation: 84-6=78, Resulting Numbers: [55, 26, 78] Generated Node #2: [55, 26, 78] from Operation: 84-6=78 Current State: 58:[55, 26, 78], Operations: ['84-6=78'] Exploring Operation: 78/26=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 78/26=3 Current State: 58:[55, 3], Operations: ['84-6=78', '78/26=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 42, 79, 64 ]
77
[ "42+64=106", "106/53=2", "79-2=77" ]
Current State: 77:[53, 42, 79, 64], Operations: [] Exploring Operation: 42+64=106, Resulting Numbers: [53, 79, 106] Generated Node #2: [53, 79, 106] from Operation: 42+64=106 Current State: 77:[53, 79, 106], Operations: ['42+64=106'] Exploring Operation: 106/53=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 106/53=2 Current State: 77:[79, 2], Operations: ['42+64=106', '106/53=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 17, 28, 38, 29 ]
78
[ "28-17=11", "38+29=67", "11+67=78" ]
Current State: 78:[17, 28, 38, 29], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [38, 29, 11] Generated Node #2: [38, 29, 11] from Operation: 28-17=11 Current State: 78:[38, 29, 11], Operations: ['28-17=11'] Exploring Operation: 38+29=67, Resulting Numbers: [11, 67] Generated Node #3: [11, 67] from Operation: 38+29=67 Current State: 78:[11, 67], Operations: ['28-17=11', '38+29=67'] Exploring Operation: 11+67=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 69, 36, 57, 27 ]
35
[ "69*36=2484", "2484/27=92", "92-57=35" ]
Current State: 35:[69, 36, 57, 27], Operations: [] Exploring Operation: 69*36=2484, Resulting Numbers: [57, 27, 2484] Generated Node #2: [57, 27, 2484] from Operation: 69*36=2484 Current State: 35:[57, 27, 2484], Operations: ['69*36=2484'] Exploring Operation: 2484/27=92, Resulting Numbers: [57, 92] Generated Node #3: [57, 92] from Operation: 2484/27=92 Current State: 35:[57, 92], Operations: ['69*36=2484', '2484/27=92'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 73, 14, 5 ]
54
[ "73-10=63", "14-5=9", "63-9=54" ]
Current State: 54:[10, 73, 14, 5], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [14, 5, 63] Generated Node #2: [14, 5, 63] from Operation: 73-10=63 Current State: 54:[14, 5, 63], Operations: ['73-10=63'] Exploring Operation: 14-5=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 14-5=9 Current State: 54:[63, 9], Operations: ['73-10=63', '14-5=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 80, 50, 47, 61 ]
47
[ "80+61=141", "50-47=3", "141/3=47" ]
Current State: 47:[80, 50, 47, 61], Operations: [] Exploring Operation: 80+61=141, Resulting Numbers: [50, 47, 141] Generated Node #2: [50, 47, 141] from Operation: 80+61=141 Current State: 47:[50, 47, 141], Operations: ['80+61=141'] Exploring Operation: 50-47=3, Resulting Numbers: [141, 3] Generated Node #3: [141, 3] from Operation: 50-47=3 Current State: 47:[141, 3], Operations: ['80+61=141', '50-47=3'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 21, 19, 23 ]
18
[ "80-23=57", "57/19=3", "21-3=18" ]
Current State: 18:[80, 21, 19, 23], Operations: [] Exploring Operation: 80-23=57, Resulting Numbers: [21, 19, 57] Generated Node #2: [21, 19, 57] from Operation: 80-23=57 Current State: 18:[21, 19, 57], Operations: ['80-23=57'] Exploring Operation: 57/19=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 57/19=3 Current State: 18:[21, 3], Operations: ['80-23=57', '57/19=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 15, 67, 21 ]
46
[ "27+15=42", "67+21=88", "88-42=46" ]
Current State: 46:[27, 15, 67, 21], Operations: [] Exploring Operation: 27+15=42, Resulting Numbers: [67, 21, 42] Generated Node #2: [67, 21, 42] from Operation: 27+15=42 Current State: 46:[67, 21, 42], Operations: ['27+15=42'] Exploring Operation: 67+21=88, Resulting Numbers: [42, 88] Generated Node #3: [42, 88] from Operation: 67+21=88 Current State: 46:[42, 88], Operations: ['27+15=42', '67+21=88'] Exploring Operation: 88-42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 26, 58, 32, 22 ]
30
[ "26+58=84", "32+22=54", "84-54=30" ]
Current State: 30:[26, 58, 32, 22], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [32, 22, 84] Generated Node #2: [32, 22, 84] from Operation: 26+58=84 Current State: 30:[32, 22, 84], Operations: ['26+58=84'] Exploring Operation: 32+22=54, Resulting Numbers: [84, 54] Generated Node #3: [84, 54] from Operation: 32+22=54 Current State: 30:[84, 54], Operations: ['26+58=84', '32+22=54'] Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 44, 21, 15 ]
36
[ "44-2=42", "21-15=6", "42-6=36" ]
Current State: 36:[2, 44, 21, 15], Operations: [] Exploring Operation: 44-2=42, Resulting Numbers: [21, 15, 42] Generated Node #2: [21, 15, 42] from Operation: 44-2=42 Current State: 36:[21, 15, 42], Operations: ['44-2=42'] Exploring Operation: 21-15=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 21-15=6 Current State: 36:[42, 6], Operations: ['44-2=42', '21-15=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 18, 24, 78 ]
55
[ "24-18=6", "78/6=13", "68-13=55" ]
Current State: 55:[68, 18, 24, 78], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [68, 78, 6] Generated Node #2: [68, 78, 6] from Operation: 24-18=6 Current State: 55:[68, 78, 6], Operations: ['24-18=6'] Exploring Operation: 78/6=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 78/6=13 Current State: 55:[68, 13], Operations: ['24-18=6', '78/6=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 8, 44, 62, 8 ]
80
[ "8+44=52", "62-52=10", "8*10=80" ]
Current State: 80:[8, 44, 62, 8], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [62, 52] Generated Node #2: [62, 52] from Operation: 8+44=52 Current State: 80:[62, 52], Operations: ['8+44=52'] Exploring Operation: 62-52=10, Resulting Numbers: [10] 10,80 equal: Goal Reached Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 65, 28, 63 ]
28
[ "63/7=9", "65-28=37", "37-9=28" ]
Current State: 28:[7, 65, 28, 63], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [65, 28, 9] Generated Node #2: [65, 28, 9] from Operation: 63/7=9 Current State: 28:[65, 28, 9], Operations: ['63/7=9'] Exploring Operation: 65-28=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 65-28=37 Current State: 28:[9, 37], Operations: ['63/7=9', '65-28=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 4, 3, 80, 20 ]
100
[ "4-3=1", "80+20=100", "1*100=100" ]
Current State: 100:[4, 3, 80, 20], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [80, 20, 1] Generated Node #2: [80, 20, 1] from Operation: 4-3=1 Current State: 100:[80, 20, 1], Operations: ['4-3=1'] Exploring Operation: 80+20=100, Resulting Numbers: [1, 100] Generated Node #3: [1, 100] from Operation: 80+20=100 Current State: 100:[1, 100], Operations: ['4-3=1', '80+20=100'] Exploring Operation: 1*100=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 56, 22, 59, 28 ]
35
[ "56/28=2", "59-22=37", "37-2=35" ]
Current State: 35:[56, 22, 59, 28], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [22, 59, 2] Generated Node #2: [22, 59, 2] from Operation: 56/28=2 Current State: 35:[22, 59, 2], Operations: ['56/28=2'] Exploring Operation: 59-22=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 59-22=37 Current State: 35:[2, 37], Operations: ['56/28=2', '59-22=37'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 52, 25, 24 ]
73
[ "21+52=73", "25-24=1", "73*1=73" ]
Current State: 73:[21, 52, 25, 24], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [25, 24, 73] Generated Node #2: [25, 24, 73] from Operation: 21+52=73 Current State: 73:[25, 24, 73], Operations: ['21+52=73'] Exploring Operation: 25-24=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 25-24=1 Current State: 73:[73, 1], Operations: ['21+52=73', '25-24=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 96, 43, 74, 90 ]
37
[ "96-43=53", "90-74=16", "53-16=37" ]
Current State: 37:[96, 43, 74, 90], Operations: [] Exploring Operation: 96-43=53, Resulting Numbers: [74, 90, 53] Generated Node #2: [74, 90, 53] from Operation: 96-43=53 Current State: 37:[74, 90, 53], Operations: ['96-43=53'] Exploring Operation: 90-74=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 90-74=16 Current State: 37:[53, 16], Operations: ['96-43=53', '90-74=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 2, 7, 27 ]
96
[ "41-27=14", "7*14=98", "98-2=96" ]
Current State: 96:[41, 2, 7, 27], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [2, 7, 14] Generated Node #2: [2, 7, 14] from Operation: 41-27=14 Current State: 96:[2, 7, 14], Operations: ['41-27=14'] Exploring Operation: 7*14=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 7*14=98 Current State: 96:[2, 98], Operations: ['41-27=14', '7*14=98'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 88, 98, 41 ]
48
[ "98/98=1", "88-41=47", "1+47=48" ]
Current State: 48:[98, 88, 98, 41], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [88, 41, 1] Generated Node #2: [88, 41, 1] from Operation: 98/98=1 Current State: 48:[88, 41, 1], Operations: ['98/98=1'] Exploring Operation: 88-41=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 88-41=47 Current State: 48:[1, 47], Operations: ['98/98=1', '88-41=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 2, 68, 69 ]
47
[ "69/3=23", "2+68=70", "70-23=47" ]
Current State: 47:[3, 2, 68, 69], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [2, 68, 23] Generated Node #2: [2, 68, 23] from Operation: 69/3=23 Current State: 47:[2, 68, 23], Operations: ['69/3=23'] Exploring Operation: 2+68=70, Resulting Numbers: [23, 70] Generated Node #3: [23, 70] from Operation: 2+68=70 Current State: 47:[23, 70], Operations: ['69/3=23', '2+68=70'] Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 71, 11, 24, 12 ]
46
[ "71+11=82", "24+12=36", "82-36=46" ]
Current State: 46:[71, 11, 24, 12], Operations: [] Exploring Operation: 71+11=82, Resulting Numbers: [24, 12, 82] Generated Node #2: [24, 12, 82] from Operation: 71+11=82 Current State: 46:[24, 12, 82], Operations: ['71+11=82'] Exploring Operation: 24+12=36, Resulting Numbers: [82, 36] Generated Node #3: [82, 36] from Operation: 24+12=36 Current State: 46:[82, 36], Operations: ['71+11=82', '24+12=36'] Exploring Operation: 82-36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 58, 35, 24, 17 ]
46
[ "35*24=840", "840-58=782", "782/17=46" ]
Current State: 46:[58, 35, 24, 17], Operations: [] Exploring Operation: 35*24=840, Resulting Numbers: [58, 17, 840] Generated Node #2: [58, 17, 840] from Operation: 35*24=840 Current State: 46:[58, 17, 840], Operations: ['35*24=840'] Exploring Operation: 840-58=782, Resulting Numbers: [17, 782] Generated Node #3: [17, 782] from Operation: 840-58=782 Current State: 46:[17, 782], Operations: ['35*24=840', '840-58=782'] Exploring Operation: 782/17=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 16, 76, 1 ]
74
[ "7+1=8", "16/8=2", "76-2=74" ]
Current State: 74:[7, 16, 76, 1], Operations: [] Exploring Operation: 7+1=8, Resulting Numbers: [16, 76, 8] Generated Node #2: [16, 76, 8] from Operation: 7+1=8 Current State: 74:[16, 76, 8], Operations: ['7+1=8'] Exploring Operation: 16/8=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 16/8=2 Current State: 74:[76, 2], Operations: ['7+1=8', '16/8=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 76, 96, 90, 2 ]
79
[ "96-90=6", "6/2=3", "76+3=79" ]
Current State: 79:[76, 96, 90, 2], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [76, 2, 6] Generated Node #2: [76, 2, 6] from Operation: 96-90=6 Current State: 79:[76, 2, 6], Operations: ['96-90=6'] Exploring Operation: 6/2=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 6/2=3 Current State: 79:[76, 3], Operations: ['96-90=6', '6/2=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 76, 51, 87 ]
16
[ "76-51=25", "87+25=112", "112/7=16" ]
Current State: 16:[7, 76, 51, 87], Operations: [] Exploring Operation: 76-51=25, Resulting Numbers: [7, 87, 25] Generated Node #2: [7, 87, 25] from Operation: 76-51=25 Current State: 16:[7, 87, 25], Operations: ['76-51=25'] Exploring Operation: 87+25=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 87+25=112 Current State: 16:[7, 112], Operations: ['76-51=25', '87+25=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 63, 4, 86 ]
65
[ "92+63=155", "4+86=90", "155-90=65" ]
Current State: 65:[92, 63, 4, 86], Operations: [] Exploring Operation: 92+63=155, Resulting Numbers: [4, 86, 155] Generated Node #2: [4, 86, 155] from Operation: 92+63=155 Current State: 65:[4, 86, 155], Operations: ['92+63=155'] Exploring Operation: 4+86=90, Resulting Numbers: [155, 90] Generated Node #3: [155, 90] from Operation: 4+86=90 Current State: 65:[155, 90], Operations: ['92+63=155', '4+86=90'] Exploring Operation: 155-90=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 5, 98, 45, 79 ]
72
[ "79-45=34", "5*34=170", "170-98=72" ]
Current State: 72:[5, 98, 45, 79], Operations: [] Exploring Operation: 79-45=34, Resulting Numbers: [5, 98, 34] Generated Node #2: [5, 98, 34] from Operation: 79-45=34 Current State: 72:[5, 98, 34], Operations: ['79-45=34'] Exploring Operation: 5*34=170, Resulting Numbers: [98, 170] Generated Node #3: [98, 170] from Operation: 5*34=170 Current State: 72:[98, 170], Operations: ['79-45=34', '5*34=170'] Exploring Operation: 170-98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 94, 1, 67 ]
49
[ "22+94=116", "1*67=67", "116-67=49" ]
Current State: 49:[22, 94, 1, 67], Operations: [] Exploring Operation: 22+94=116, Resulting Numbers: [1, 67, 116] Generated Node #2: [1, 67, 116] from Operation: 22+94=116 Current State: 49:[1, 67, 116], Operations: ['22+94=116'] Exploring Operation: 1*67=67, Resulting Numbers: [116, 67] Generated Node #3: [116, 67] from Operation: 1*67=67 Current State: 49:[116, 67], Operations: ['22+94=116', '1*67=67'] Exploring Operation: 116-67=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 29, 18, 2 ]
31
[ "12+18=30", "2*30=60", "60-29=31" ]
Current State: 31:[12, 29, 18, 2], Operations: [] Exploring Operation: 12+18=30, Resulting Numbers: [29, 2, 30] Generated Node #2: [29, 2, 30] from Operation: 12+18=30 Current State: 31:[29, 2, 30], Operations: ['12+18=30'] Exploring Operation: 2*30=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 2*30=60 Current State: 31:[29, 60], Operations: ['12+18=30', '2*30=60'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 61, 32, 45, 29 ]
77
[ "61+32=93", "45-29=16", "93-16=77" ]
Current State: 77:[61, 32, 45, 29], Operations: [] Exploring Operation: 61+32=93, Resulting Numbers: [45, 29, 93] Generated Node #2: [45, 29, 93] from Operation: 61+32=93 Current State: 77:[45, 29, 93], Operations: ['61+32=93'] Exploring Operation: 45-29=16, Resulting Numbers: [93, 16] Generated Node #3: [93, 16] from Operation: 45-29=16 Current State: 77:[93, 16], Operations: ['61+32=93', '45-29=16'] Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 41, 29, 4 ]
15
[ "41-29=12", "4*12=48", "63-48=15" ]
Current State: 15:[63, 41, 29, 4], Operations: [] Exploring Operation: 41-29=12, Resulting Numbers: [63, 4, 12] Generated Node #2: [63, 4, 12] from Operation: 41-29=12 Current State: 15:[63, 4, 12], Operations: ['41-29=12'] Exploring Operation: 4*12=48, Resulting Numbers: [63, 48] Generated Node #3: [63, 48] from Operation: 4*12=48 Current State: 15:[63, 48], Operations: ['41-29=12', '4*12=48'] Exploring Operation: 63-48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 31, 57, 63, 28 ]
53
[ "31+57=88", "63-28=35", "88-35=53" ]
Current State: 53:[31, 57, 63, 28], Operations: [] Exploring Operation: 31+57=88, Resulting Numbers: [63, 28, 88] Generated Node #2: [63, 28, 88] from Operation: 31+57=88 Current State: 53:[63, 28, 88], Operations: ['31+57=88'] Exploring Operation: 63-28=35, Resulting Numbers: [88, 35] Generated Node #3: [88, 35] from Operation: 63-28=35 Current State: 53:[88, 35], Operations: ['31+57=88', '63-28=35'] Exploring Operation: 88-35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 18, 35, 9, 3 ]
26
[ "18+35=53", "9*3=27", "53-27=26" ]
Current State: 26:[18, 35, 9, 3], Operations: [] Exploring Operation: 18+35=53, Resulting Numbers: [9, 3, 53] Generated Node #2: [9, 3, 53] from Operation: 18+35=53 Current State: 26:[9, 3, 53], Operations: ['18+35=53'] Exploring Operation: 9*3=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 9*3=27 Current State: 26:[53, 27], Operations: ['18+35=53', '9*3=27'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4