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
[ 5, 5, 63, 50 ]
90
[ "5+63=68", "68-50=18", "5*18=90" ]
Current State: 90:[5, 5, 63, 50], Operations: [] Exploring Operation: 5+63=68, Resulting Numbers: [50, 68] Generated Node #2: [50, 68] from Operation: 5+63=68 Current State: 90:[50, 68], Operations: ['5+63=68'] Exploring Operation: 68-50=18, Resulting Numbers: [18] 18,90 equal: Goal Reached Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 39, 24, 89, 72 ]
53
[ "89-39=50", "72/24=3", "50+3=53" ]
Current State: 53:[39, 24, 89, 72], Operations: [] Exploring Operation: 89-39=50, Resulting Numbers: [24, 72, 50] Generated Node #2: [24, 72, 50] from Operation: 89-39=50 Current State: 53:[24, 72, 50], Operations: ['89-39=50'] Exploring Operation: 72/24=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 72/24=3 Current State: 53:[50, 3], Operations: ['89-39=50', '72/24=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 14, 26, 69, 16 ]
77
[ "69*16=1104", "1104-26=1078", "1078/14=77" ]
Current State: 77:[14, 26, 69, 16], Operations: [] Exploring Operation: 69*16=1104, Resulting Numbers: [14, 26, 1104] Generated Node #2: [14, 26, 1104] from Operation: 69*16=1104 Current State: 77:[14, 26, 1104], Operations: ['69*16=1104'] Exploring Operation: 1104-26=1078, Resulting Numbers: [14, 1078] Generated Node #3: [14, 1078] from Operation: 1104-26=1078 Current State: 77:[14, 1078], Operations: ['69*16=1104', '1104-26=1078'] Exploring Operation: 1078/14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 8, 91, 15, 9 ]
20
[ "8*15=120", "91+9=100", "120-100=20" ]
Current State: 20:[8, 91, 15, 9], Operations: [] Exploring Operation: 8*15=120, Resulting Numbers: [91, 9, 120] Generated Node #2: [91, 9, 120] from Operation: 8*15=120 Current State: 20:[91, 9, 120], Operations: ['8*15=120'] Exploring Operation: 91+9=100, Resulting Numbers: [120, 100] Generated Node #3: [120, 100] from Operation: 91+9=100 Current State: 20:[120, 100], Operations: ['8*15=120', '91+9=100'] Exploring Operation: 120-100=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 91, 22, 75 ]
94
[ "47-22=25", "75/25=3", "91+3=94" ]
Current State: 94:[47, 91, 22, 75], Operations: [] Exploring Operation: 47-22=25, Resulting Numbers: [91, 75, 25] Generated Node #2: [91, 75, 25] from Operation: 47-22=25 Current State: 94:[91, 75, 25], Operations: ['47-22=25'] Exploring Operation: 75/25=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 75/25=3 Current State: 94:[91, 3], Operations: ['47-22=25', '75/25=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 78, 34, 30 ]
33
[ "54+78=132", "34-30=4", "132/4=33" ]
Current State: 33:[54, 78, 34, 30], Operations: [] Exploring Operation: 54+78=132, Resulting Numbers: [34, 30, 132] Generated Node #2: [34, 30, 132] from Operation: 54+78=132 Current State: 33:[34, 30, 132], Operations: ['54+78=132'] Exploring Operation: 34-30=4, Resulting Numbers: [132, 4] Generated Node #3: [132, 4] from Operation: 34-30=4 Current State: 33:[132, 4], Operations: ['54+78=132', '34-30=4'] Exploring Operation: 132/4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 74, 47, 59, 4 ]
77
[ "59-47=12", "12/4=3", "74+3=77" ]
Current State: 77:[74, 47, 59, 4], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [74, 4, 12] Generated Node #2: [74, 4, 12] from Operation: 59-47=12 Current State: 77:[74, 4, 12], Operations: ['59-47=12'] Exploring Operation: 12/4=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 12/4=3 Current State: 77:[74, 3], Operations: ['59-47=12', '12/4=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 1, 69, 4 ]
12
[ "60+1=61", "69+4=73", "73-61=12" ]
Current State: 12:[60, 1, 69, 4], Operations: [] Exploring Operation: 60+1=61, Resulting Numbers: [69, 4, 61] Generated Node #2: [69, 4, 61] from Operation: 60+1=61 Current State: 12:[69, 4, 61], Operations: ['60+1=61'] Exploring Operation: 69+4=73, Resulting Numbers: [61, 73] Generated Node #3: [61, 73] from Operation: 69+4=73 Current State: 12:[61, 73], Operations: ['60+1=61', '69+4=73'] Exploring Operation: 73-61=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 59, 49, 75 ]
65
[ "59-20=39", "75-49=26", "39+26=65" ]
Current State: 65:[20, 59, 49, 75], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [49, 75, 39] Generated Node #2: [49, 75, 39] from Operation: 59-20=39 Current State: 65:[49, 75, 39], Operations: ['59-20=39'] Exploring Operation: 75-49=26, Resulting Numbers: [39, 26] Generated Node #3: [39, 26] from Operation: 75-49=26 Current State: 65:[39, 26], Operations: ['59-20=39', '75-49=26'] Exploring Operation: 39+26=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 41, 63, 2, 15 ]
70
[ "41+15=56", "63*2=126", "126-56=70" ]
Current State: 70:[41, 63, 2, 15], Operations: [] Exploring Operation: 41+15=56, Resulting Numbers: [63, 2, 56] Generated Node #2: [63, 2, 56] from Operation: 41+15=56 Current State: 70:[63, 2, 56], Operations: ['41+15=56'] Exploring Operation: 63*2=126, Resulting Numbers: [56, 126] Generated Node #3: [56, 126] from Operation: 63*2=126 Current State: 70:[56, 126], Operations: ['41+15=56', '63*2=126'] Exploring Operation: 126-56=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 2, 74, 56 ]
43
[ "6+56=62", "62/2=31", "74-31=43" ]
Current State: 43:[6, 2, 74, 56], Operations: [] Exploring Operation: 6+56=62, Resulting Numbers: [2, 74, 62] Generated Node #2: [2, 74, 62] from Operation: 6+56=62 Current State: 43:[2, 74, 62], Operations: ['6+56=62'] Exploring Operation: 62/2=31, Resulting Numbers: [74, 31] Generated Node #3: [74, 31] from Operation: 62/2=31 Current State: 43:[74, 31], Operations: ['6+56=62', '62/2=31'] Exploring Operation: 74-31=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 8, 49, 24, 10 ]
19
[ "24/8=3", "10*3=30", "49-30=19" ]
Current State: 19:[8, 49, 24, 10], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [49, 10, 3] Generated Node #2: [49, 10, 3] from Operation: 24/8=3 Current State: 19:[49, 10, 3], Operations: ['24/8=3'] Exploring Operation: 10*3=30, Resulting Numbers: [49, 30] Generated Node #3: [49, 30] from Operation: 10*3=30 Current State: 19:[49, 30], Operations: ['24/8=3', '10*3=30'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 13, 34, 5, 28 ]
77
[ "34-13=21", "5*21=105", "105-28=77" ]
Current State: 77:[13, 34, 5, 28], Operations: [] Exploring Operation: 34-13=21, Resulting Numbers: [5, 28, 21] Generated Node #2: [5, 28, 21] from Operation: 34-13=21 Current State: 77:[5, 28, 21], Operations: ['34-13=21'] Exploring Operation: 5*21=105, Resulting Numbers: [28, 105] Generated Node #3: [28, 105] from Operation: 5*21=105 Current State: 77:[28, 105], Operations: ['34-13=21', '5*21=105'] Exploring Operation: 105-28=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 99, 19, 75, 22 ]
27
[ "99-19=80", "75-22=53", "80-53=27" ]
Current State: 27:[99, 19, 75, 22], Operations: [] Exploring Operation: 99-19=80, Resulting Numbers: [75, 22, 80] Generated Node #2: [75, 22, 80] from Operation: 99-19=80 Current State: 27:[75, 22, 80], Operations: ['99-19=80'] Exploring Operation: 75-22=53, Resulting Numbers: [80, 53] Generated Node #3: [80, 53] from Operation: 75-22=53 Current State: 27:[80, 53], Operations: ['99-19=80', '75-22=53'] Exploring Operation: 80-53=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 27, 34, 32 ]
49
[ "44-27=17", "34+32=66", "66-17=49" ]
Current State: 49:[44, 27, 34, 32], Operations: [] Exploring Operation: 44-27=17, Resulting Numbers: [34, 32, 17] Generated Node #2: [34, 32, 17] from Operation: 44-27=17 Current State: 49:[34, 32, 17], Operations: ['44-27=17'] Exploring Operation: 34+32=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 34+32=66 Current State: 49:[17, 66], Operations: ['44-27=17', '34+32=66'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 57, 19, 15, 59 ]
68
[ "59-57=2", "19+15=34", "2*34=68" ]
Current State: 68:[57, 19, 15, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [19, 15, 2] Generated Node #2: [19, 15, 2] from Operation: 59-57=2 Current State: 68:[19, 15, 2], Operations: ['59-57=2'] Exploring Operation: 19+15=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 19+15=34 Current State: 68:[2, 34], Operations: ['59-57=2', '19+15=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 38, 30, 18 ]
74
[ "64-38=26", "30+18=48", "26+48=74" ]
Current State: 74:[64, 38, 30, 18], Operations: [] Exploring Operation: 64-38=26, Resulting Numbers: [30, 18, 26] Generated Node #2: [30, 18, 26] from Operation: 64-38=26 Current State: 74:[30, 18, 26], Operations: ['64-38=26'] Exploring Operation: 30+18=48, Resulting Numbers: [26, 48] Generated Node #3: [26, 48] from Operation: 30+18=48 Current State: 74:[26, 48], Operations: ['64-38=26', '30+18=48'] Exploring Operation: 26+48=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 53, 17, 59 ]
77
[ "59-53=6", "10*6=60", "17+60=77" ]
Current State: 77:[10, 53, 17, 59], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [10, 17, 6] Generated Node #2: [10, 17, 6] from Operation: 59-53=6 Current State: 77:[10, 17, 6], Operations: ['59-53=6'] Exploring Operation: 10*6=60, Resulting Numbers: [17, 60] Generated Node #3: [17, 60] from Operation: 10*6=60 Current State: 77:[17, 60], Operations: ['59-53=6', '10*6=60'] Exploring Operation: 17+60=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 45, 15, 19 ]
45
[ "3+15=18", "19-18=1", "45*1=45" ]
Current State: 45:[3, 45, 15, 19], Operations: [] Exploring Operation: 3+15=18, Resulting Numbers: [45, 19, 18] Generated Node #2: [45, 19, 18] from Operation: 3+15=18 Current State: 45:[45, 19, 18], Operations: ['3+15=18'] Exploring Operation: 19-18=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 19-18=1 Current State: 45:[45, 1], Operations: ['3+15=18', '19-18=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 97, 71, 89, 57 ]
58
[ "97-71=26", "89-57=32", "26+32=58" ]
Current State: 58:[97, 71, 89, 57], Operations: [] Exploring Operation: 97-71=26, Resulting Numbers: [89, 57, 26] Generated Node #2: [89, 57, 26] from Operation: 97-71=26 Current State: 58:[89, 57, 26], Operations: ['97-71=26'] Exploring Operation: 89-57=32, Resulting Numbers: [26, 32] Generated Node #3: [26, 32] from Operation: 89-57=32 Current State: 58:[26, 32], Operations: ['97-71=26', '89-57=32'] Exploring Operation: 26+32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 11, 8, 34 ]
21
[ "32-11=21", "8+34=42", "42-21=21" ]
Current State: 21:[32, 11, 8, 34], Operations: [] Exploring Operation: 32-11=21, Resulting Numbers: [8, 34, 21] Generated Node #2: [8, 34, 21] from Operation: 32-11=21 Current State: 21:[8, 34, 21], Operations: ['32-11=21'] Exploring Operation: 8+34=42, Resulting Numbers: [21, 42] Generated Node #3: [21, 42] from Operation: 8+34=42 Current State: 21:[21, 42], Operations: ['32-11=21', '8+34=42'] Exploring Operation: 42-21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 16, 85, 6 ]
82
[ "16-7=9", "85+6=91", "91-9=82" ]
Current State: 82:[7, 16, 85, 6], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [85, 6, 9] Generated Node #2: [85, 6, 9] from Operation: 16-7=9 Current State: 82:[85, 6, 9], Operations: ['16-7=9'] Exploring Operation: 85+6=91, Resulting Numbers: [9, 91] Generated Node #3: [9, 91] from Operation: 85+6=91 Current State: 82:[9, 91], Operations: ['16-7=9', '85+6=91'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 42, 26, 58, 95 ]
97
[ "26+58=84", "84/42=2", "95+2=97" ]
Current State: 97:[42, 26, 58, 95], Operations: [] Exploring Operation: 26+58=84, Resulting Numbers: [42, 95, 84] Generated Node #2: [42, 95, 84] from Operation: 26+58=84 Current State: 97:[42, 95, 84], Operations: ['26+58=84'] Exploring Operation: 84/42=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 84/42=2 Current State: 97:[95, 2], Operations: ['26+58=84', '84/42=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 81, 2, 96, 69 ]
27
[ "96-81=15", "69-15=54", "54/2=27" ]
Current State: 27:[81, 2, 96, 69], Operations: [] Exploring Operation: 96-81=15, Resulting Numbers: [2, 69, 15] Generated Node #2: [2, 69, 15] from Operation: 96-81=15 Current State: 27:[2, 69, 15], Operations: ['96-81=15'] Exploring Operation: 69-15=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 69-15=54 Current State: 27:[2, 54], Operations: ['96-81=15', '69-15=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 58, 34, 60 ]
34
[ "66-58=8", "60-34=26", "8+26=34" ]
Current State: 34:[66, 58, 34, 60], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [34, 60, 8] Generated Node #2: [34, 60, 8] from Operation: 66-58=8 Current State: 34:[34, 60, 8], Operations: ['66-58=8'] Exploring Operation: 60-34=26, Resulting Numbers: [8, 26] Generated Node #3: [8, 26] from Operation: 60-34=26 Current State: 34:[8, 26], Operations: ['66-58=8', '60-34=26'] Exploring Operation: 8+26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 26, 2, 1 ]
92
[ "60-1=59", "2*59=118", "118-26=92" ]
Current State: 92:[60, 26, 2, 1], Operations: [] Exploring Operation: 60-1=59, Resulting Numbers: [26, 2, 59] Generated Node #2: [26, 2, 59] from Operation: 60-1=59 Current State: 92:[26, 2, 59], Operations: ['60-1=59'] Exploring Operation: 2*59=118, Resulting Numbers: [26, 118] Generated Node #3: [26, 118] from Operation: 2*59=118 Current State: 92:[26, 118], Operations: ['60-1=59', '2*59=118'] Exploring Operation: 118-26=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 77, 71, 63, 70 ]
14
[ "77-63=14", "71-70=1", "14*1=14" ]
Current State: 14:[77, 71, 63, 70], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [71, 70, 14] Generated Node #2: [71, 70, 14] from Operation: 77-63=14 Current State: 14:[71, 70, 14], Operations: ['77-63=14'] Exploring Operation: 71-70=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 71-70=1 Current State: 14:[14, 1], Operations: ['77-63=14', '71-70=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 87, 93, 89, 97 ]
14
[ "93-87=6", "97-89=8", "6+8=14" ]
Current State: 14:[87, 93, 89, 97], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [89, 97, 6] Generated Node #2: [89, 97, 6] from Operation: 93-87=6 Current State: 14:[89, 97, 6], Operations: ['93-87=6'] Exploring Operation: 97-89=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 97-89=8 Current State: 14:[6, 8], Operations: ['93-87=6', '97-89=8'] Exploring Operation: 6+8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 21, 70, 65 ]
76
[ "70-65=5", "11*5=55", "21+55=76" ]
Current State: 76:[11, 21, 70, 65], Operations: [] Exploring Operation: 70-65=5, Resulting Numbers: [11, 21, 5] Generated Node #2: [11, 21, 5] from Operation: 70-65=5 Current State: 76:[11, 21, 5], Operations: ['70-65=5'] Exploring Operation: 11*5=55, Resulting Numbers: [21, 55] Generated Node #3: [21, 55] from Operation: 11*5=55 Current State: 76:[21, 55], Operations: ['70-65=5', '11*5=55'] Exploring Operation: 21+55=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 96, 23, 71, 93 ]
97
[ "96+23=119", "93-71=22", "119-22=97" ]
Current State: 97:[96, 23, 71, 93], Operations: [] Exploring Operation: 96+23=119, Resulting Numbers: [71, 93, 119] Generated Node #2: [71, 93, 119] from Operation: 96+23=119 Current State: 97:[71, 93, 119], Operations: ['96+23=119'] Exploring Operation: 93-71=22, Resulting Numbers: [119, 22] Generated Node #3: [119, 22] from Operation: 93-71=22 Current State: 97:[119, 22], Operations: ['96+23=119', '93-71=22'] Exploring Operation: 119-22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 44, 77, 62, 78 ]
19
[ "44+77=121", "62+78=140", "140-121=19" ]
Current State: 19:[44, 77, 62, 78], Operations: [] Exploring Operation: 44+77=121, Resulting Numbers: [62, 78, 121] Generated Node #2: [62, 78, 121] from Operation: 44+77=121 Current State: 19:[62, 78, 121], Operations: ['44+77=121'] Exploring Operation: 62+78=140, Resulting Numbers: [121, 140] Generated Node #3: [121, 140] from Operation: 62+78=140 Current State: 19:[121, 140], Operations: ['44+77=121', '62+78=140'] Exploring Operation: 140-121=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 51, 54, 72 ]
30
[ "22*72=1584", "1584-54=1530", "1530/51=30" ]
Current State: 30:[22, 51, 54, 72], Operations: [] Exploring Operation: 22*72=1584, Resulting Numbers: [51, 54, 1584] Generated Node #2: [51, 54, 1584] from Operation: 22*72=1584 Current State: 30:[51, 54, 1584], Operations: ['22*72=1584'] Exploring Operation: 1584-54=1530, Resulting Numbers: [51, 1530] Generated Node #3: [51, 1530] from Operation: 1584-54=1530 Current State: 30:[51, 1530], Operations: ['22*72=1584', '1584-54=1530'] Exploring Operation: 1530/51=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 13, 36, 4 ]
49
[ "30-13=17", "36-4=32", "17+32=49" ]
Current State: 49:[30, 13, 36, 4], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [36, 4, 17] Generated Node #2: [36, 4, 17] from Operation: 30-13=17 Current State: 49:[36, 4, 17], Operations: ['30-13=17'] Exploring Operation: 36-4=32, Resulting Numbers: [17, 32] Generated Node #3: [17, 32] from Operation: 36-4=32 Current State: 49:[17, 32], Operations: ['30-13=17', '36-4=32'] Exploring Operation: 17+32=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 2, 10, 50 ]
24
[ "10+50=60", "2*60=120", "120-96=24" ]
Current State: 24:[96, 2, 10, 50], Operations: [] Exploring Operation: 10+50=60, Resulting Numbers: [96, 2, 60] Generated Node #2: [96, 2, 60] from Operation: 10+50=60 Current State: 24:[96, 2, 60], Operations: ['10+50=60'] Exploring Operation: 2*60=120, Resulting Numbers: [96, 120] Generated Node #3: [96, 120] from Operation: 2*60=120 Current State: 24:[96, 120], Operations: ['10+50=60', '2*60=120'] Exploring Operation: 120-96=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 28, 1, 5 ]
37
[ "50/5=10", "28-1=27", "10+27=37" ]
Current State: 37:[50, 28, 1, 5], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [28, 1, 10] Generated Node #2: [28, 1, 10] from Operation: 50/5=10 Current State: 37:[28, 1, 10], Operations: ['50/5=10'] Exploring Operation: 28-1=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 28-1=27 Current State: 37:[10, 27], Operations: ['50/5=10', '28-1=27'] Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 41, 77, 6 ]
71
[ "77-72=5", "6*5=30", "41+30=71" ]
Current State: 71:[72, 41, 77, 6], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [41, 6, 5] Generated Node #2: [41, 6, 5] from Operation: 77-72=5 Current State: 71:[41, 6, 5], Operations: ['77-72=5'] Exploring Operation: 6*5=30, Resulting Numbers: [41, 30] Generated Node #3: [41, 30] from Operation: 6*5=30 Current State: 71:[41, 30], Operations: ['77-72=5', '6*5=30'] Exploring Operation: 41+30=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 69, 30, 66, 76 ]
34
[ "30*76=2280", "66+2280=2346", "2346/69=34" ]
Current State: 34:[69, 30, 66, 76], Operations: [] Exploring Operation: 30*76=2280, Resulting Numbers: [69, 66, 2280] Generated Node #2: [69, 66, 2280] from Operation: 30*76=2280 Current State: 34:[69, 66, 2280], Operations: ['30*76=2280'] Exploring Operation: 66+2280=2346, Resulting Numbers: [69, 2346] Generated Node #3: [69, 2346] from Operation: 66+2280=2346 Current State: 34:[69, 2346], Operations: ['30*76=2280', '66+2280=2346'] Exploring Operation: 2346/69=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 14, 43, 84 ]
93
[ "44+43=87", "84/14=6", "87+6=93" ]
Current State: 93:[44, 14, 43, 84], Operations: [] Exploring Operation: 44+43=87, Resulting Numbers: [14, 84, 87] Generated Node #2: [14, 84, 87] from Operation: 44+43=87 Current State: 93:[14, 84, 87], Operations: ['44+43=87'] Exploring Operation: 84/14=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 84/14=6 Current State: 93:[87, 6], Operations: ['44+43=87', '84/14=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 46, 98, 9, 39 ]
82
[ "98-46=52", "39-9=30", "52+30=82" ]
Current State: 82:[46, 98, 9, 39], Operations: [] Exploring Operation: 98-46=52, Resulting Numbers: [9, 39, 52] Generated Node #2: [9, 39, 52] from Operation: 98-46=52 Current State: 82:[9, 39, 52], Operations: ['98-46=52'] Exploring Operation: 39-9=30, Resulting Numbers: [52, 30] Generated Node #3: [52, 30] from Operation: 39-9=30 Current State: 82:[52, 30], Operations: ['98-46=52', '39-9=30'] Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 91, 82, 29, 7 ]
34
[ "91-82=9", "7*9=63", "63-29=34" ]
Current State: 34:[91, 82, 29, 7], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [29, 7, 9] Generated Node #2: [29, 7, 9] from Operation: 91-82=9 Current State: 34:[29, 7, 9], Operations: ['91-82=9'] Exploring Operation: 7*9=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 7*9=63 Current State: 34:[29, 63], Operations: ['91-82=9', '7*9=63'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 18, 14, 86 ]
52
[ "73*14=1022", "1022-86=936", "936/18=52" ]
Current State: 52:[73, 18, 14, 86], Operations: [] Exploring Operation: 73*14=1022, Resulting Numbers: [18, 86, 1022] Generated Node #2: [18, 86, 1022] from Operation: 73*14=1022 Current State: 52:[18, 86, 1022], Operations: ['73*14=1022'] Exploring Operation: 1022-86=936, Resulting Numbers: [18, 936] Generated Node #3: [18, 936] from Operation: 1022-86=936 Current State: 52:[18, 936], Operations: ['73*14=1022', '1022-86=936'] Exploring Operation: 936/18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 81, 11, 33 ]
83
[ "81-42=39", "11+33=44", "39+44=83" ]
Current State: 83:[42, 81, 11, 33], Operations: [] Exploring Operation: 81-42=39, Resulting Numbers: [11, 33, 39] Generated Node #2: [11, 33, 39] from Operation: 81-42=39 Current State: 83:[11, 33, 39], Operations: ['81-42=39'] Exploring Operation: 11+33=44, Resulting Numbers: [39, 44] Generated Node #3: [39, 44] from Operation: 11+33=44 Current State: 83:[39, 44], Operations: ['81-42=39', '11+33=44'] Exploring Operation: 39+44=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 73, 95, 65 ]
18
[ "73-61=12", "95-65=30", "30-12=18" ]
Current State: 18:[61, 73, 95, 65], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [95, 65, 12] Generated Node #2: [95, 65, 12] from Operation: 73-61=12 Current State: 18:[95, 65, 12], Operations: ['73-61=12'] Exploring Operation: 95-65=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 95-65=30 Current State: 18:[12, 30], Operations: ['73-61=12', '95-65=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 26, 30, 65 ]
46
[ "26-15=11", "65-30=35", "11+35=46" ]
Current State: 46:[15, 26, 30, 65], Operations: [] Exploring Operation: 26-15=11, Resulting Numbers: [30, 65, 11] Generated Node #2: [30, 65, 11] from Operation: 26-15=11 Current State: 46:[30, 65, 11], Operations: ['26-15=11'] Exploring Operation: 65-30=35, Resulting Numbers: [11, 35] Generated Node #3: [11, 35] from Operation: 65-30=35 Current State: 46:[11, 35], Operations: ['26-15=11', '65-30=35'] Exploring Operation: 11+35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 1, 1, 80, 97 ]
97
[ "1-1=0", "80*0=0", "97+0=97" ]
Current State: 97:[1, 1, 80, 97], Operations: [] Exploring Operation: 1-1=0, Resulting Numbers: [80, 97, 0] Generated Node #2: [80, 97, 0] from Operation: 1-1=0 Current State: 97:[80, 97, 0], Operations: ['1-1=0'] Exploring Operation: 80*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 80*0=0 Current State: 97:[97, 0], Operations: ['1-1=0', '80*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 73, 90, 76, 25 ]
55
[ "76-73=3", "90/3=30", "25+30=55" ]
Current State: 55:[73, 90, 76, 25], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [90, 25, 3] Generated Node #2: [90, 25, 3] from Operation: 76-73=3 Current State: 55:[90, 25, 3], Operations: ['76-73=3'] Exploring Operation: 90/3=30, Resulting Numbers: [25, 30] Generated Node #3: [25, 30] from Operation: 90/3=30 Current State: 55:[25, 30], Operations: ['76-73=3', '90/3=30'] Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 20, 3, 42, 69 ]
77
[ "69-20=49", "3*42=126", "126-49=77" ]
Current State: 77:[20, 3, 42, 69], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [3, 42, 49] Generated Node #2: [3, 42, 49] from Operation: 69-20=49 Current State: 77:[3, 42, 49], Operations: ['69-20=49'] Exploring Operation: 3*42=126, Resulting Numbers: [49, 126] Generated Node #3: [49, 126] from Operation: 3*42=126 Current State: 77:[49, 126], Operations: ['69-20=49', '3*42=126'] Exploring Operation: 126-49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 43, 40, 15, 23 ]
35
[ "43-40=3", "15+23=38", "38-3=35" ]
Current State: 35:[43, 40, 15, 23], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [15, 23, 3] Generated Node #2: [15, 23, 3] from Operation: 43-40=3 Current State: 35:[15, 23, 3], Operations: ['43-40=3'] Exploring Operation: 15+23=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 15+23=38 Current State: 35:[3, 38], Operations: ['43-40=3', '15+23=38'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 19, 24, 10 ]
87
[ "24/8=3", "19+10=29", "3*29=87" ]
Current State: 87:[8, 19, 24, 10], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [19, 10, 3] Generated Node #2: [19, 10, 3] from Operation: 24/8=3 Current State: 87:[19, 10, 3], Operations: ['24/8=3'] Exploring Operation: 19+10=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 19+10=29 Current State: 87:[3, 29], Operations: ['24/8=3', '19+10=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 67, 8, 47, 73 ]
85
[ "67-8=59", "73-47=26", "59+26=85" ]
Current State: 85:[67, 8, 47, 73], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [47, 73, 59] Generated Node #2: [47, 73, 59] from Operation: 67-8=59 Current State: 85:[47, 73, 59], Operations: ['67-8=59'] Exploring Operation: 73-47=26, Resulting Numbers: [59, 26] Generated Node #3: [59, 26] from Operation: 73-47=26 Current State: 85:[59, 26], Operations: ['67-8=59', '73-47=26'] Exploring Operation: 59+26=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 72, 43, 2, 88 ]
61
[ "72+43=115", "2*88=176", "176-115=61" ]
Current State: 61:[72, 43, 2, 88], Operations: [] Exploring Operation: 72+43=115, Resulting Numbers: [2, 88, 115] Generated Node #2: [2, 88, 115] from Operation: 72+43=115 Current State: 61:[2, 88, 115], Operations: ['72+43=115'] Exploring Operation: 2*88=176, Resulting Numbers: [115, 176] Generated Node #3: [115, 176] from Operation: 2*88=176 Current State: 61:[115, 176], Operations: ['72+43=115', '2*88=176'] Exploring Operation: 176-115=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 6, 2, 30, 72 ]
22
[ "2*30=60", "72+60=132", "132/6=22" ]
Current State: 22:[6, 2, 30, 72], Operations: [] Exploring Operation: 2*30=60, Resulting Numbers: [6, 72, 60] Generated Node #2: [6, 72, 60] from Operation: 2*30=60 Current State: 22:[6, 72, 60], Operations: ['2*30=60'] Exploring Operation: 72+60=132, Resulting Numbers: [6, 132] Generated Node #3: [6, 132] from Operation: 72+60=132 Current State: 22:[6, 132], Operations: ['2*30=60', '72+60=132'] Exploring Operation: 132/6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 4, 37, 32 ]
48
[ "37-4=33", "33-32=1", "48*1=48" ]
Current State: 48:[48, 4, 37, 32], Operations: [] Exploring Operation: 37-4=33, Resulting Numbers: [48, 32, 33] Generated Node #2: [48, 32, 33] from Operation: 37-4=33 Current State: 48:[48, 32, 33], Operations: ['37-4=33'] Exploring Operation: 33-32=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 33-32=1 Current State: 48:[48, 1], Operations: ['37-4=33', '33-32=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 52, 35, 35 ]
37
[ "55+52=107", "35+35=70", "107-70=37" ]
Current State: 37:[55, 52, 35, 35], Operations: [] Exploring Operation: 55+52=107, Resulting Numbers: [35, 35, 107] Generated Node #2: [35, 35, 107] from Operation: 55+52=107 Current State: 37:[35, 35, 107], Operations: ['55+52=107'] Exploring Operation: 35+35=70, Resulting Numbers: [107, 70] Generated Node #3: [107, 70] from Operation: 35+35=70 Current State: 37:[107, 70], Operations: ['55+52=107', '35+35=70'] Exploring Operation: 107-70=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 48, 36, 64 ]
100
[ "36/3=12", "48+64=112", "112-12=100" ]
Current State: 100:[3, 48, 36, 64], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [48, 64, 12] Generated Node #2: [48, 64, 12] from Operation: 36/3=12 Current State: 100:[48, 64, 12], Operations: ['36/3=12'] Exploring Operation: 48+64=112, Resulting Numbers: [12, 112] Generated Node #3: [12, 112] from Operation: 48+64=112 Current State: 100:[12, 112], Operations: ['36/3=12', '48+64=112'] Exploring Operation: 112-12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 83, 58, 21 ]
91
[ "87+83=170", "58+21=79", "170-79=91" ]
Current State: 91:[87, 83, 58, 21], Operations: [] Exploring Operation: 87+83=170, Resulting Numbers: [58, 21, 170] Generated Node #2: [58, 21, 170] from Operation: 87+83=170 Current State: 91:[58, 21, 170], Operations: ['87+83=170'] Exploring Operation: 58+21=79, Resulting Numbers: [170, 79] Generated Node #3: [170, 79] from Operation: 58+21=79 Current State: 91:[170, 79], Operations: ['87+83=170', '58+21=79'] Exploring Operation: 170-79=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 28, 90, 22, 9 ]
87
[ "28+90=118", "22+9=31", "118-31=87" ]
Current State: 87:[28, 90, 22, 9], Operations: [] Exploring Operation: 28+90=118, Resulting Numbers: [22, 9, 118] Generated Node #2: [22, 9, 118] from Operation: 28+90=118 Current State: 87:[22, 9, 118], Operations: ['28+90=118'] Exploring Operation: 22+9=31, Resulting Numbers: [118, 31] Generated Node #3: [118, 31] from Operation: 22+9=31 Current State: 87:[118, 31], Operations: ['28+90=118', '22+9=31'] Exploring Operation: 118-31=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 20, 52, 11 ]
25
[ "58-20=38", "52+11=63", "63-38=25" ]
Current State: 25:[58, 20, 52, 11], Operations: [] Exploring Operation: 58-20=38, Resulting Numbers: [52, 11, 38] Generated Node #2: [52, 11, 38] from Operation: 58-20=38 Current State: 25:[52, 11, 38], Operations: ['58-20=38'] Exploring Operation: 52+11=63, Resulting Numbers: [38, 63] Generated Node #3: [38, 63] from Operation: 52+11=63 Current State: 25:[38, 63], Operations: ['58-20=38', '52+11=63'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 54, 35, 20 ]
37
[ "54/3=18", "35+20=55", "55-18=37" ]
Current State: 37:[3, 54, 35, 20], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [35, 20, 18] Generated Node #2: [35, 20, 18] from Operation: 54/3=18 Current State: 37:[35, 20, 18], Operations: ['54/3=18'] Exploring Operation: 35+20=55, Resulting Numbers: [18, 55] Generated Node #3: [18, 55] from Operation: 35+20=55 Current State: 37:[18, 55], Operations: ['54/3=18', '35+20=55'] Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 91, 54, 30 ]
94
[ "87+91=178", "54+30=84", "178-84=94" ]
Current State: 94:[87, 91, 54, 30], Operations: [] Exploring Operation: 87+91=178, Resulting Numbers: [54, 30, 178] Generated Node #2: [54, 30, 178] from Operation: 87+91=178 Current State: 94:[54, 30, 178], Operations: ['87+91=178'] Exploring Operation: 54+30=84, Resulting Numbers: [178, 84] Generated Node #3: [178, 84] from Operation: 54+30=84 Current State: 94:[178, 84], Operations: ['87+91=178', '54+30=84'] Exploring Operation: 178-84=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 9, 33, 12, 41 ]
24
[ "12-9=3", "41-33=8", "3*8=24" ]
Current State: 24:[9, 33, 12, 41], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [33, 41, 3] Generated Node #2: [33, 41, 3] from Operation: 12-9=3 Current State: 24:[33, 41, 3], Operations: ['12-9=3'] Exploring Operation: 41-33=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 41-33=8 Current State: 24:[3, 8], Operations: ['12-9=3', '41-33=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 66, 30, 18, 12 ]
65
[ "30-18=12", "12/12=1", "66-1=65" ]
Current State: 65:[66, 30, 18, 12], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [66, 12, 12] Generated Node #2: [66, 12, 12] from Operation: 30-18=12 Current State: 65:[66, 12, 12], Operations: ['30-18=12'] Exploring Operation: 12/12=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 12/12=1 Current State: 65:[66, 1], Operations: ['30-18=12', '12/12=1'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 90, 44, 11, 99 ]
64
[ "90-44=46", "11+99=110", "110-46=64" ]
Current State: 64:[90, 44, 11, 99], Operations: [] Exploring Operation: 90-44=46, Resulting Numbers: [11, 99, 46] Generated Node #2: [11, 99, 46] from Operation: 90-44=46 Current State: 64:[11, 99, 46], Operations: ['90-44=46'] Exploring Operation: 11+99=110, Resulting Numbers: [46, 110] Generated Node #3: [46, 110] from Operation: 11+99=110 Current State: 64:[46, 110], Operations: ['90-44=46', '11+99=110'] Exploring Operation: 110-46=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 72, 53, 9 ]
88
[ "72/36=2", "53-9=44", "2*44=88" ]
Current State: 88:[36, 72, 53, 9], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [53, 9, 2] Generated Node #2: [53, 9, 2] from Operation: 72/36=2 Current State: 88:[53, 9, 2], Operations: ['72/36=2'] Exploring Operation: 53-9=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 53-9=44 Current State: 88:[2, 44], Operations: ['72/36=2', '53-9=44'] Exploring Operation: 2*44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 46, 60, 51, 31 ]
34
[ "60-46=14", "51-31=20", "14+20=34" ]
Current State: 34:[46, 60, 51, 31], Operations: [] Exploring Operation: 60-46=14, Resulting Numbers: [51, 31, 14] Generated Node #2: [51, 31, 14] from Operation: 60-46=14 Current State: 34:[51, 31, 14], Operations: ['60-46=14'] Exploring Operation: 51-31=20, Resulting Numbers: [14, 20] Generated Node #3: [14, 20] from Operation: 51-31=20 Current State: 34:[14, 20], Operations: ['60-46=14', '51-31=20'] Exploring Operation: 14+20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 42, 64, 24 ]
90
[ "42*64=2688", "2688/24=112", "112-22=90" ]
Current State: 90:[22, 42, 64, 24], Operations: [] Exploring Operation: 42*64=2688, Resulting Numbers: [22, 24, 2688] Generated Node #2: [22, 24, 2688] from Operation: 42*64=2688 Current State: 90:[22, 24, 2688], Operations: ['42*64=2688'] Exploring Operation: 2688/24=112, Resulting Numbers: [22, 112] Generated Node #3: [22, 112] from Operation: 2688/24=112 Current State: 90:[22, 112], Operations: ['42*64=2688', '2688/24=112'] Exploring Operation: 112-22=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 79, 39, 3, 78 ]
42
[ "79-39=40", "3*40=120", "120-78=42" ]
Current State: 42:[79, 39, 3, 78], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [3, 78, 40] Generated Node #2: [3, 78, 40] from Operation: 79-39=40 Current State: 42:[3, 78, 40], Operations: ['79-39=40'] Exploring Operation: 3*40=120, Resulting Numbers: [78, 120] Generated Node #3: [78, 120] from Operation: 3*40=120 Current State: 42:[78, 120], Operations: ['79-39=40', '3*40=120'] Exploring Operation: 120-78=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 52, 4, 58 ]
62
[ "52+4=56", "58-56=2", "31*2=62" ]
Current State: 62:[31, 52, 4, 58], Operations: [] Exploring Operation: 52+4=56, Resulting Numbers: [31, 58, 56] Generated Node #2: [31, 58, 56] from Operation: 52+4=56 Current State: 62:[31, 58, 56], Operations: ['52+4=56'] Exploring Operation: 58-56=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 58-56=2 Current State: 62:[31, 2], Operations: ['52+4=56', '58-56=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 88, 1, 47, 11 ]
56
[ "88/11=8", "1+47=48", "8+48=56" ]
Current State: 56:[88, 1, 47, 11], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [1, 47, 8] Generated Node #2: [1, 47, 8] from Operation: 88/11=8 Current State: 56:[1, 47, 8], Operations: ['88/11=8'] Exploring Operation: 1+47=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 1+47=48 Current State: 56:[8, 48], Operations: ['88/11=8', '1+47=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 68, 8, 11 ]
80
[ "85+11=96", "96/8=12", "68+12=80" ]
Current State: 80:[85, 68, 8, 11], Operations: [] Exploring Operation: 85+11=96, Resulting Numbers: [68, 8, 96] Generated Node #2: [68, 8, 96] from Operation: 85+11=96 Current State: 80:[68, 8, 96], Operations: ['85+11=96'] Exploring Operation: 96/8=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 96/8=12 Current State: 80:[68, 12], Operations: ['85+11=96', '96/8=12'] Exploring Operation: 68+12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 88, 40, 24 ]
68
[ "12*40=480", "480/24=20", "88-20=68" ]
Current State: 68:[12, 88, 40, 24], Operations: [] Exploring Operation: 12*40=480, Resulting Numbers: [88, 24, 480] Generated Node #2: [88, 24, 480] from Operation: 12*40=480 Current State: 68:[88, 24, 480], Operations: ['12*40=480'] Exploring Operation: 480/24=20, Resulting Numbers: [88, 20] Generated Node #3: [88, 20] from Operation: 480/24=20 Current State: 68:[88, 20], Operations: ['12*40=480', '480/24=20'] Exploring Operation: 88-20=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 5, 34, 53 ]
99
[ "66-53=13", "5*13=65", "34+65=99" ]
Current State: 99:[66, 5, 34, 53], Operations: [] Exploring Operation: 66-53=13, Resulting Numbers: [5, 34, 13] Generated Node #2: [5, 34, 13] from Operation: 66-53=13 Current State: 99:[5, 34, 13], Operations: ['66-53=13'] Exploring Operation: 5*13=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 5*13=65 Current State: 99:[34, 65], Operations: ['66-53=13', '5*13=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 54, 57, 20 ]
55
[ "54-20=34", "68/34=2", "57-2=55" ]
Current State: 55:[68, 54, 57, 20], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [68, 57, 34] Generated Node #2: [68, 57, 34] from Operation: 54-20=34 Current State: 55:[68, 57, 34], Operations: ['54-20=34'] Exploring Operation: 68/34=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 68/34=2 Current State: 55:[57, 2], Operations: ['54-20=34', '68/34=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 11, 80, 5 ]
75
[ "11-11=0", "80-5=75", "0+75=75" ]
Current State: 75:[11, 11, 80, 5], Operations: [] Exploring Operation: 11-11=0, Resulting Numbers: [80, 5, 0] Generated Node #2: [80, 5, 0] from Operation: 11-11=0 Current State: 75:[80, 5, 0], Operations: ['11-11=0'] Exploring Operation: 80-5=75, Resulting Numbers: [0, 75] Generated Node #3: [0, 75] from Operation: 80-5=75 Current State: 75:[0, 75], Operations: ['11-11=0', '80-5=75'] Exploring Operation: 0+75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 63, 30, 47 ]
61
[ "2*47=94", "63-30=33", "94-33=61" ]
Current State: 61:[2, 63, 30, 47], Operations: [] Exploring Operation: 2*47=94, Resulting Numbers: [63, 30, 94] Generated Node #2: [63, 30, 94] from Operation: 2*47=94 Current State: 61:[63, 30, 94], Operations: ['2*47=94'] Exploring Operation: 63-30=33, Resulting Numbers: [94, 33] Generated Node #3: [94, 33] from Operation: 63-30=33 Current State: 61:[94, 33], Operations: ['2*47=94', '63-30=33'] Exploring Operation: 94-33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 28, 23, 14 ]
19
[ "5*14=70", "28+23=51", "70-51=19" ]
Current State: 19:[5, 28, 23, 14], Operations: [] Exploring Operation: 5*14=70, Resulting Numbers: [28, 23, 70] Generated Node #2: [28, 23, 70] from Operation: 5*14=70 Current State: 19:[28, 23, 70], Operations: ['5*14=70'] Exploring Operation: 28+23=51, Resulting Numbers: [70, 51] Generated Node #3: [70, 51] from Operation: 28+23=51 Current State: 19:[70, 51], Operations: ['5*14=70', '28+23=51'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 65, 1, 29 ]
41
[ "76-65=11", "1+29=30", "11+30=41" ]
Current State: 41:[76, 65, 1, 29], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [1, 29, 11] Generated Node #2: [1, 29, 11] from Operation: 76-65=11 Current State: 41:[1, 29, 11], Operations: ['76-65=11'] Exploring Operation: 1+29=30, Resulting Numbers: [11, 30] Generated Node #3: [11, 30] from Operation: 1+29=30 Current State: 41:[11, 30], Operations: ['76-65=11', '1+29=30'] Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 90, 2, 13 ]
73
[ "90-32=58", "2+13=15", "58+15=73" ]
Current State: 73:[32, 90, 2, 13], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [2, 13, 58] Generated Node #2: [2, 13, 58] from Operation: 90-32=58 Current State: 73:[2, 13, 58], Operations: ['90-32=58'] Exploring Operation: 2+13=15, Resulting Numbers: [58, 15] Generated Node #3: [58, 15] from Operation: 2+13=15 Current State: 73:[58, 15], Operations: ['90-32=58', '2+13=15'] Exploring Operation: 58+15=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 60, 38, 41, 5 ]
68
[ "60-38=22", "41+5=46", "22+46=68" ]
Current State: 68:[60, 38, 41, 5], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [41, 5, 22] Generated Node #2: [41, 5, 22] from Operation: 60-38=22 Current State: 68:[41, 5, 22], Operations: ['60-38=22'] Exploring Operation: 41+5=46, Resulting Numbers: [22, 46] Generated Node #3: [22, 46] from Operation: 41+5=46 Current State: 68:[22, 46], Operations: ['60-38=22', '41+5=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 66, 1, 32 ]
54
[ "27*66=1782", "1+32=33", "1782/33=54" ]
Current State: 54:[27, 66, 1, 32], Operations: [] Exploring Operation: 27*66=1782, Resulting Numbers: [1, 32, 1782] Generated Node #2: [1, 32, 1782] from Operation: 27*66=1782 Current State: 54:[1, 32, 1782], Operations: ['27*66=1782'] Exploring Operation: 1+32=33, Resulting Numbers: [1782, 33] Generated Node #3: [1782, 33] from Operation: 1+32=33 Current State: 54:[1782, 33], Operations: ['27*66=1782', '1+32=33'] Exploring Operation: 1782/33=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 40, 39, 66, 96 ]
83
[ "40+39=79", "66+96=162", "162-79=83" ]
Current State: 83:[40, 39, 66, 96], Operations: [] Exploring Operation: 40+39=79, Resulting Numbers: [66, 96, 79] Generated Node #2: [66, 96, 79] from Operation: 40+39=79 Current State: 83:[66, 96, 79], Operations: ['40+39=79'] Exploring Operation: 66+96=162, Resulting Numbers: [79, 162] Generated Node #3: [79, 162] from Operation: 66+96=162 Current State: 83:[79, 162], Operations: ['40+39=79', '66+96=162'] Exploring Operation: 162-79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 58, 20, 24, 44 ]
98
[ "58+20=78", "44-24=20", "78+20=98" ]
Current State: 98:[58, 20, 24, 44], Operations: [] Exploring Operation: 58+20=78, Resulting Numbers: [24, 44, 78] Generated Node #2: [24, 44, 78] from Operation: 58+20=78 Current State: 98:[24, 44, 78], Operations: ['58+20=78'] Exploring Operation: 44-24=20, Resulting Numbers: [78, 20] Generated Node #3: [78, 20] from Operation: 44-24=20 Current State: 98:[78, 20], Operations: ['58+20=78', '44-24=20'] Exploring Operation: 78+20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 91, 59, 56, 1 ]
87
[ "91-59=32", "56-1=55", "32+55=87" ]
Current State: 87:[91, 59, 56, 1], Operations: [] Exploring Operation: 91-59=32, Resulting Numbers: [56, 1, 32] Generated Node #2: [56, 1, 32] from Operation: 91-59=32 Current State: 87:[56, 1, 32], Operations: ['91-59=32'] Exploring Operation: 56-1=55, Resulting Numbers: [32, 55] Generated Node #3: [32, 55] from Operation: 56-1=55 Current State: 87:[32, 55], Operations: ['91-59=32', '56-1=55'] Exploring Operation: 32+55=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 2, 96, 24 ]
42
[ "96-93=3", "24-3=21", "2*21=42" ]
Current State: 42:[93, 2, 96, 24], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [2, 24, 3] Generated Node #2: [2, 24, 3] from Operation: 96-93=3 Current State: 42:[2, 24, 3], Operations: ['96-93=3'] Exploring Operation: 24-3=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 24-3=21 Current State: 42:[2, 21], Operations: ['96-93=3', '24-3=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 78, 13, 88, 15 ]
29
[ "78+88=166", "13*15=195", "195-166=29" ]
Current State: 29:[78, 13, 88, 15], Operations: [] Exploring Operation: 78+88=166, Resulting Numbers: [13, 15, 166] Generated Node #2: [13, 15, 166] from Operation: 78+88=166 Current State: 29:[13, 15, 166], Operations: ['78+88=166'] Exploring Operation: 13*15=195, Resulting Numbers: [166, 195] Generated Node #3: [166, 195] from Operation: 13*15=195 Current State: 29:[166, 195], Operations: ['78+88=166', '13*15=195'] Exploring Operation: 195-166=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 24, 6, 94, 48 ]
28
[ "24-6=18", "94-48=46", "46-18=28" ]
Current State: 28:[24, 6, 94, 48], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [94, 48, 18] Generated Node #2: [94, 48, 18] from Operation: 24-6=18 Current State: 28:[94, 48, 18], Operations: ['24-6=18'] Exploring Operation: 94-48=46, Resulting Numbers: [18, 46] Generated Node #3: [18, 46] from Operation: 94-48=46 Current State: 28:[18, 46], Operations: ['24-6=18', '94-48=46'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 91, 62, 51 ]
49
[ "91-27=64", "62+51=113", "113-64=49" ]
Current State: 49:[27, 91, 62, 51], Operations: [] Exploring Operation: 91-27=64, Resulting Numbers: [62, 51, 64] Generated Node #2: [62, 51, 64] from Operation: 91-27=64 Current State: 49:[62, 51, 64], Operations: ['91-27=64'] Exploring Operation: 62+51=113, Resulting Numbers: [64, 113] Generated Node #3: [64, 113] from Operation: 62+51=113 Current State: 49:[64, 113], Operations: ['91-27=64', '62+51=113'] Exploring Operation: 113-64=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 79, 34, 51, 85 ]
83
[ "51+85=136", "136/34=4", "79+4=83" ]
Current State: 83:[79, 34, 51, 85], Operations: [] Exploring Operation: 51+85=136, Resulting Numbers: [79, 34, 136] Generated Node #2: [79, 34, 136] from Operation: 51+85=136 Current State: 83:[79, 34, 136], Operations: ['51+85=136'] Exploring Operation: 136/34=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 136/34=4 Current State: 83:[79, 4], Operations: ['51+85=136', '136/34=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 73, 19, 59 ]
73
[ "41+19=60", "60-59=1", "73*1=73" ]
Current State: 73:[41, 73, 19, 59], Operations: [] Exploring Operation: 41+19=60, Resulting Numbers: [73, 59, 60] Generated Node #2: [73, 59, 60] from Operation: 41+19=60 Current State: 73:[73, 59, 60], Operations: ['41+19=60'] Exploring Operation: 60-59=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 60-59=1 Current State: 73:[73, 1], Operations: ['41+19=60', '60-59=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 5, 82, 37 ]
78
[ "38-5=33", "82-37=45", "33+45=78" ]
Current State: 78:[38, 5, 82, 37], Operations: [] Exploring Operation: 38-5=33, Resulting Numbers: [82, 37, 33] Generated Node #2: [82, 37, 33] from Operation: 38-5=33 Current State: 78:[82, 37, 33], Operations: ['38-5=33'] Exploring Operation: 82-37=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 82-37=45 Current State: 78:[33, 45], Operations: ['38-5=33', '82-37=45'] Exploring Operation: 33+45=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 21, 2, 87, 71 ]
34
[ "21+87=108", "2*71=142", "142-108=34" ]
Current State: 34:[21, 2, 87, 71], Operations: [] Exploring Operation: 21+87=108, Resulting Numbers: [2, 71, 108] Generated Node #2: [2, 71, 108] from Operation: 21+87=108 Current State: 34:[2, 71, 108], Operations: ['21+87=108'] Exploring Operation: 2*71=142, Resulting Numbers: [108, 142] Generated Node #3: [108, 142] from Operation: 2*71=142 Current State: 34:[108, 142], Operations: ['21+87=108', '2*71=142'] Exploring Operation: 142-108=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 57, 92, 60 ]
27
[ "92-90=2", "60/2=30", "57-30=27" ]
Current State: 27:[90, 57, 92, 60], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [57, 60, 2] Generated Node #2: [57, 60, 2] from Operation: 92-90=2 Current State: 27:[57, 60, 2], Operations: ['92-90=2'] Exploring Operation: 60/2=30, Resulting Numbers: [57, 30] Generated Node #3: [57, 30] from Operation: 60/2=30 Current State: 27:[57, 30], Operations: ['92-90=2', '60/2=30'] Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 30, 66, 68 ]
42
[ "70-30=40", "68-66=2", "40+2=42" ]
Current State: 42:[70, 30, 66, 68], Operations: [] Exploring Operation: 70-30=40, Resulting Numbers: [66, 68, 40] Generated Node #2: [66, 68, 40] from Operation: 70-30=40 Current State: 42:[66, 68, 40], Operations: ['70-30=40'] Exploring Operation: 68-66=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 68-66=2 Current State: 42:[40, 2], Operations: ['70-30=40', '68-66=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 93, 10, 18, 96 ]
81
[ "18-10=8", "96/8=12", "93-12=81" ]
Current State: 81:[93, 10, 18, 96], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [93, 96, 8] Generated Node #2: [93, 96, 8] from Operation: 18-10=8 Current State: 81:[93, 96, 8], Operations: ['18-10=8'] Exploring Operation: 96/8=12, Resulting Numbers: [93, 12] Generated Node #3: [93, 12] from Operation: 96/8=12 Current State: 81:[93, 12], Operations: ['18-10=8', '96/8=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 1, 37, 11 ]
70
[ "23-1=22", "37+11=48", "22+48=70" ]
Current State: 70:[23, 1, 37, 11], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [37, 11, 22] Generated Node #2: [37, 11, 22] from Operation: 23-1=22 Current State: 70:[37, 11, 22], Operations: ['23-1=22'] Exploring Operation: 37+11=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 37+11=48 Current State: 70:[22, 48], Operations: ['23-1=22', '37+11=48'] Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 71, 2, 28 ]
44
[ "29+71=100", "2*28=56", "100-56=44" ]
Current State: 44:[29, 71, 2, 28], Operations: [] Exploring Operation: 29+71=100, Resulting Numbers: [2, 28, 100] Generated Node #2: [2, 28, 100] from Operation: 29+71=100 Current State: 44:[2, 28, 100], Operations: ['29+71=100'] Exploring Operation: 2*28=56, Resulting Numbers: [100, 56] Generated Node #3: [100, 56] from Operation: 2*28=56 Current State: 44:[100, 56], Operations: ['29+71=100', '2*28=56'] Exploring Operation: 100-56=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 69, 3, 81 ]
87
[ "87+69=156", "3*81=243", "243-156=87" ]
Current State: 87:[87, 69, 3, 81], Operations: [] Exploring Operation: 87+69=156, Resulting Numbers: [3, 81, 156] Generated Node #2: [3, 81, 156] from Operation: 87+69=156 Current State: 87:[3, 81, 156], Operations: ['87+69=156'] Exploring Operation: 3*81=243, Resulting Numbers: [156, 243] Generated Node #3: [156, 243] from Operation: 3*81=243 Current State: 87:[156, 243], Operations: ['87+69=156', '3*81=243'] Exploring Operation: 243-156=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 34, 79, 77, 82 ]
91
[ "82-77=5", "34*5=170", "170-79=91" ]
Current State: 91:[34, 79, 77, 82], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [34, 79, 5] Generated Node #2: [34, 79, 5] from Operation: 82-77=5 Current State: 91:[34, 79, 5], Operations: ['82-77=5'] Exploring Operation: 34*5=170, Resulting Numbers: [79, 170] Generated Node #3: [79, 170] from Operation: 34*5=170 Current State: 91:[79, 170], Operations: ['82-77=5', '34*5=170'] Exploring Operation: 170-79=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 84, 8, 93, 4 ]
41
[ "93-84=9", "8*4=32", "9+32=41" ]
Current State: 41:[84, 8, 93, 4], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [8, 4, 9] Generated Node #2: [8, 4, 9] from Operation: 93-84=9 Current State: 41:[8, 4, 9], Operations: ['93-84=9'] Exploring Operation: 8*4=32, Resulting Numbers: [9, 32] Generated Node #3: [9, 32] from Operation: 8*4=32 Current State: 41:[9, 32], Operations: ['93-84=9', '8*4=32'] Exploring Operation: 9+32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 82, 57, 26, 3 ]
54
[ "82-57=25", "26+3=29", "25+29=54" ]
Current State: 54:[82, 57, 26, 3], Operations: [] Exploring Operation: 82-57=25, Resulting Numbers: [26, 3, 25] Generated Node #2: [26, 3, 25] from Operation: 82-57=25 Current State: 54:[26, 3, 25], Operations: ['82-57=25'] Exploring Operation: 26+3=29, Resulting Numbers: [25, 29] Generated Node #3: [25, 29] from Operation: 26+3=29 Current State: 54:[25, 29], Operations: ['82-57=25', '26+3=29'] Exploring Operation: 25+29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4