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
[ 77, 84, 37, 46 ]
16
[ "84-77=7", "46-37=9", "7+9=16" ]
Current State: 16:[77, 84, 37, 46], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [37, 46, 7] Generated Node #2: [37, 46, 7] from Operation: 84-77=7 Current State: 16:[37, 46, 7], Operations: ['84-77=7'] Exploring Operation: 46-37=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 46-37=9 Current State: 16:[7, 9], Operations: ['84-77=7', '46-37=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 77, 95, 15, 85 ]
72
[ "77+95=172", "15+85=100", "172-100=72" ]
Current State: 72:[77, 95, 15, 85], Operations: [] Exploring Operation: 77+95=172, Resulting Numbers: [15, 85, 172] Generated Node #2: [15, 85, 172] from Operation: 77+95=172 Current State: 72:[15, 85, 172], Operations: ['77+95=172'] Exploring Operation: 15+85=100, Resulting Numbers: [172, 100] Generated Node #3: [172, 100] from Operation: 15+85=100 Current State: 72:[172, 100], Operations: ['77+95=172', '15+85=100'] Exploring Operation: 172-100=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 33, 7, 21, 24 ]
90
[ "33+24=57", "7*21=147", "147-57=90" ]
Current State: 90:[33, 7, 21, 24], Operations: [] Exploring Operation: 33+24=57, Resulting Numbers: [7, 21, 57] Generated Node #2: [7, 21, 57] from Operation: 33+24=57 Current State: 90:[7, 21, 57], Operations: ['33+24=57'] Exploring Operation: 7*21=147, Resulting Numbers: [57, 147] Generated Node #3: [57, 147] from Operation: 7*21=147 Current State: 90:[57, 147], Operations: ['33+24=57', '7*21=147'] Exploring Operation: 147-57=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 66, 7, 65 ]
43
[ "35+66=101", "65-7=58", "101-58=43" ]
Current State: 43:[35, 66, 7, 65], Operations: [] Exploring Operation: 35+66=101, Resulting Numbers: [7, 65, 101] Generated Node #2: [7, 65, 101] from Operation: 35+66=101 Current State: 43:[7, 65, 101], Operations: ['35+66=101'] Exploring Operation: 65-7=58, Resulting Numbers: [101, 58] Generated Node #3: [101, 58] from Operation: 65-7=58 Current State: 43:[101, 58], Operations: ['35+66=101', '65-7=58'] Exploring Operation: 101-58=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 44, 86, 23 ]
23
[ "3*44=132", "86+23=109", "132-109=23" ]
Current State: 23:[3, 44, 86, 23], Operations: [] Exploring Operation: 3*44=132, Resulting Numbers: [86, 23, 132] Generated Node #2: [86, 23, 132] from Operation: 3*44=132 Current State: 23:[86, 23, 132], Operations: ['3*44=132'] Exploring Operation: 86+23=109, Resulting Numbers: [132, 109] Generated Node #3: [132, 109] from Operation: 86+23=109 Current State: 23:[132, 109], Operations: ['3*44=132', '86+23=109'] Exploring Operation: 132-109=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 67, 86, 82 ]
78
[ "15+67=82", "86-82=4", "82-4=78" ]
Current State: 78:[15, 67, 86, 82], Operations: [] Exploring Operation: 15+67=82, Resulting Numbers: [86, 82, 82] Generated Node #2: [86, 82, 82] from Operation: 15+67=82 Current State: 78:[86, 82, 82], Operations: ['15+67=82'] Exploring Operation: 86-82=4, Resulting Numbers: [4] 4,78 equal: Goal Reached Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 75, 83, 2 ]
62
[ "72+75=147", "83+2=85", "147-85=62" ]
Current State: 62:[72, 75, 83, 2], Operations: [] Exploring Operation: 72+75=147, Resulting Numbers: [83, 2, 147] Generated Node #2: [83, 2, 147] from Operation: 72+75=147 Current State: 62:[83, 2, 147], Operations: ['72+75=147'] Exploring Operation: 83+2=85, Resulting Numbers: [147, 85] Generated Node #3: [147, 85] from Operation: 83+2=85 Current State: 62:[147, 85], Operations: ['72+75=147', '83+2=85'] Exploring Operation: 147-85=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 20, 7, 84 ]
13
[ "70+20=90", "84-7=77", "90-77=13" ]
Current State: 13:[70, 20, 7, 84], Operations: [] Exploring Operation: 70+20=90, Resulting Numbers: [7, 84, 90] Generated Node #2: [7, 84, 90] from Operation: 70+20=90 Current State: 13:[7, 84, 90], Operations: ['70+20=90'] Exploring Operation: 84-7=77, Resulting Numbers: [90, 77] Generated Node #3: [90, 77] from Operation: 84-7=77 Current State: 13:[90, 77], Operations: ['70+20=90', '84-7=77'] Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 87, 2, 25 ]
47
[ "87-84=3", "2*25=50", "50-3=47" ]
Current State: 47:[84, 87, 2, 25], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [2, 25, 3] Generated Node #2: [2, 25, 3] from Operation: 87-84=3 Current State: 47:[2, 25, 3], Operations: ['87-84=3'] Exploring Operation: 2*25=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 2*25=50 Current State: 47:[3, 50], Operations: ['87-84=3', '2*25=50'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 84, 11, 23, 1 ]
30
[ "11+1=12", "84/12=7", "23+7=30" ]
Current State: 30:[84, 11, 23, 1], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [84, 23, 12] Generated Node #2: [84, 23, 12] from Operation: 11+1=12 Current State: 30:[84, 23, 12], Operations: ['11+1=12'] Exploring Operation: 84/12=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 84/12=7 Current State: 30:[23, 7], Operations: ['11+1=12', '84/12=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 62, 13, 97 ]
27
[ "49+62=111", "97-13=84", "111-84=27" ]
Current State: 27:[49, 62, 13, 97], Operations: [] Exploring Operation: 49+62=111, Resulting Numbers: [13, 97, 111] Generated Node #2: [13, 97, 111] from Operation: 49+62=111 Current State: 27:[13, 97, 111], Operations: ['49+62=111'] Exploring Operation: 97-13=84, Resulting Numbers: [111, 84] Generated Node #3: [111, 84] from Operation: 97-13=84 Current State: 27:[111, 84], Operations: ['49+62=111', '97-13=84'] Exploring Operation: 111-84=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 69, 28, 73 ]
36
[ "73-69=4", "28*4=112", "112-76=36" ]
Current State: 36:[76, 69, 28, 73], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [76, 28, 4] Generated Node #2: [76, 28, 4] from Operation: 73-69=4 Current State: 36:[76, 28, 4], Operations: ['73-69=4'] Exploring Operation: 28*4=112, Resulting Numbers: [76, 112] Generated Node #3: [76, 112] from Operation: 28*4=112 Current State: 36:[76, 112], Operations: ['73-69=4', '28*4=112'] Exploring Operation: 112-76=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 16, 3, 13 ]
49
[ "81-16=65", "3+13=16", "65-16=49" ]
Current State: 49:[81, 16, 3, 13], Operations: [] Exploring Operation: 81-16=65, Resulting Numbers: [3, 13, 65] Generated Node #2: [3, 13, 65] from Operation: 81-16=65 Current State: 49:[3, 13, 65], Operations: ['81-16=65'] Exploring Operation: 3+13=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 3+13=16 Current State: 49:[65, 16], Operations: ['81-16=65', '3+13=16'] Exploring Operation: 65-16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 63, 40, 89 ]
68
[ "40-37=3", "63/3=21", "89-21=68" ]
Current State: 68:[37, 63, 40, 89], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [63, 89, 3] Generated Node #2: [63, 89, 3] from Operation: 40-37=3 Current State: 68:[63, 89, 3], Operations: ['40-37=3'] Exploring Operation: 63/3=21, Resulting Numbers: [89, 21] Generated Node #3: [89, 21] from Operation: 63/3=21 Current State: 68:[89, 21], Operations: ['40-37=3', '63/3=21'] Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 10, 74, 92, 27 ]
55
[ "74-10=64", "92+27=119", "119-64=55" ]
Current State: 55:[10, 74, 92, 27], Operations: [] Exploring Operation: 74-10=64, Resulting Numbers: [92, 27, 64] Generated Node #2: [92, 27, 64] from Operation: 74-10=64 Current State: 55:[92, 27, 64], Operations: ['74-10=64'] Exploring Operation: 92+27=119, Resulting Numbers: [64, 119] Generated Node #3: [64, 119] from Operation: 92+27=119 Current State: 55:[64, 119], Operations: ['74-10=64', '92+27=119'] Exploring Operation: 119-64=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 29, 54, 17, 84 ]
18
[ "29+54=83", "17+84=101", "101-83=18" ]
Current State: 18:[29, 54, 17, 84], Operations: [] Exploring Operation: 29+54=83, Resulting Numbers: [17, 84, 83] Generated Node #2: [17, 84, 83] from Operation: 29+54=83 Current State: 18:[17, 84, 83], Operations: ['29+54=83'] Exploring Operation: 17+84=101, Resulting Numbers: [83, 101] Generated Node #3: [83, 101] from Operation: 17+84=101 Current State: 18:[83, 101], Operations: ['29+54=83', '17+84=101'] Exploring Operation: 101-83=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 28, 17, 52 ]
76
[ "17*52=884", "28+884=912", "912/12=76" ]
Current State: 76:[12, 28, 17, 52], Operations: [] Exploring Operation: 17*52=884, Resulting Numbers: [12, 28, 884] Generated Node #2: [12, 28, 884] from Operation: 17*52=884 Current State: 76:[12, 28, 884], Operations: ['17*52=884'] Exploring Operation: 28+884=912, Resulting Numbers: [12, 912] Generated Node #3: [12, 912] from Operation: 28+884=912 Current State: 76:[12, 912], Operations: ['17*52=884', '28+884=912'] Exploring Operation: 912/12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 87, 51, 3, 90 ]
50
[ "87+3=90", "90/90=1", "51-1=50" ]
Current State: 50:[87, 51, 3, 90], Operations: [] Exploring Operation: 87+3=90, Resulting Numbers: [51, 90, 90] Generated Node #2: [51, 90, 90] from Operation: 87+3=90 Current State: 50:[51, 90, 90], Operations: ['87+3=90'] Exploring Operation: 90/90=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 90/90=1 Current State: 50:[51, 1], Operations: ['87+3=90', '90/90=1'] Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 75, 20, 60, 35 ]
71
[ "35-20=15", "60/15=4", "75-4=71" ]
Current State: 71:[75, 20, 60, 35], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [75, 60, 15] Generated Node #2: [75, 60, 15] from Operation: 35-20=15 Current State: 71:[75, 60, 15], Operations: ['35-20=15'] Exploring Operation: 60/15=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 60/15=4 Current State: 71:[75, 4], Operations: ['35-20=15', '60/15=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 9, 80, 70 ]
46
[ "70/5=14", "9*14=126", "126-80=46" ]
Current State: 46:[5, 9, 80, 70], Operations: [] Exploring Operation: 70/5=14, Resulting Numbers: [9, 80, 14] Generated Node #2: [9, 80, 14] from Operation: 70/5=14 Current State: 46:[9, 80, 14], Operations: ['70/5=14'] Exploring Operation: 9*14=126, Resulting Numbers: [80, 126] Generated Node #3: [80, 126] from Operation: 9*14=126 Current State: 46:[80, 126], Operations: ['70/5=14', '9*14=126'] Exploring Operation: 126-80=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 64, 76, 34 ]
38
[ "84+64=148", "76+34=110", "148-110=38" ]
Current State: 38:[84, 64, 76, 34], Operations: [] Exploring Operation: 84+64=148, Resulting Numbers: [76, 34, 148] Generated Node #2: [76, 34, 148] from Operation: 84+64=148 Current State: 38:[76, 34, 148], Operations: ['84+64=148'] Exploring Operation: 76+34=110, Resulting Numbers: [148, 110] Generated Node #3: [148, 110] from Operation: 76+34=110 Current State: 38:[148, 110], Operations: ['84+64=148', '76+34=110'] Exploring Operation: 148-110=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 49, 97, 60, 96 ]
58
[ "97-49=48", "96/48=2", "60-2=58" ]
Current State: 58:[49, 97, 60, 96], Operations: [] Exploring Operation: 97-49=48, Resulting Numbers: [60, 96, 48] Generated Node #2: [60, 96, 48] from Operation: 97-49=48 Current State: 58:[60, 96, 48], Operations: ['97-49=48'] Exploring Operation: 96/48=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 96/48=2 Current State: 58:[60, 2], Operations: ['97-49=48', '96/48=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 29, 35, 87 ]
27
[ "87-17=70", "70/35=2", "29-2=27" ]
Current State: 27:[17, 29, 35, 87], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [29, 35, 70] Generated Node #2: [29, 35, 70] from Operation: 87-17=70 Current State: 27:[29, 35, 70], Operations: ['87-17=70'] Exploring Operation: 70/35=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 70/35=2 Current State: 27:[29, 2], Operations: ['87-17=70', '70/35=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 67, 79, 73 ]
65
[ "4+67=71", "79-73=6", "71-6=65" ]
Current State: 65:[4, 67, 79, 73], Operations: [] Exploring Operation: 4+67=71, Resulting Numbers: [79, 73, 71] Generated Node #2: [79, 73, 71] from Operation: 4+67=71 Current State: 65:[79, 73, 71], Operations: ['4+67=71'] Exploring Operation: 79-73=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 79-73=6 Current State: 65:[71, 6], Operations: ['4+67=71', '79-73=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 97, 3, 86, 20 ]
91
[ "97+3=100", "100/20=5", "86+5=91" ]
Current State: 91:[97, 3, 86, 20], Operations: [] Exploring Operation: 97+3=100, Resulting Numbers: [86, 20, 100] Generated Node #2: [86, 20, 100] from Operation: 97+3=100 Current State: 91:[86, 20, 100], Operations: ['97+3=100'] Exploring Operation: 100/20=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 100/20=5 Current State: 91:[86, 5], Operations: ['97+3=100', '100/20=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 33, 79, 39 ]
13
[ "33-6=27", "79-39=40", "40-27=13" ]
Current State: 13:[6, 33, 79, 39], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [79, 39, 27] Generated Node #2: [79, 39, 27] from Operation: 33-6=27 Current State: 13:[79, 39, 27], Operations: ['33-6=27'] Exploring Operation: 79-39=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 79-39=40 Current State: 13:[27, 40], Operations: ['33-6=27', '79-39=40'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 44, 8, 30 ]
98
[ "8-1=7", "44-30=14", "7*14=98" ]
Current State: 98:[1, 44, 8, 30], Operations: [] Exploring Operation: 8-1=7, Resulting Numbers: [44, 30, 7] Generated Node #2: [44, 30, 7] from Operation: 8-1=7 Current State: 98:[44, 30, 7], Operations: ['8-1=7'] Exploring Operation: 44-30=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 44-30=14 Current State: 98:[7, 14], Operations: ['8-1=7', '44-30=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 94, 20, 84 ]
14
[ "84/21=4", "20*4=80", "94-80=14" ]
Current State: 14:[21, 94, 20, 84], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [94, 20, 4] Generated Node #2: [94, 20, 4] from Operation: 84/21=4 Current State: 14:[94, 20, 4], Operations: ['84/21=4'] Exploring Operation: 20*4=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 20*4=80 Current State: 14:[94, 80], Operations: ['84/21=4', '20*4=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 1, 31, 40, 28 ]
10
[ "1+31=32", "32-28=4", "40/4=10" ]
Current State: 10:[1, 31, 40, 28], Operations: [] Exploring Operation: 1+31=32, Resulting Numbers: [40, 28, 32] Generated Node #2: [40, 28, 32] from Operation: 1+31=32 Current State: 10:[40, 28, 32], Operations: ['1+31=32'] Exploring Operation: 32-28=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 32-28=4 Current State: 10:[40, 4], Operations: ['1+31=32', '32-28=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 46, 63, 12 ]
39
[ "44+46=90", "63-12=51", "90-51=39" ]
Current State: 39:[44, 46, 63, 12], Operations: [] Exploring Operation: 44+46=90, Resulting Numbers: [63, 12, 90] Generated Node #2: [63, 12, 90] from Operation: 44+46=90 Current State: 39:[63, 12, 90], Operations: ['44+46=90'] Exploring Operation: 63-12=51, Resulting Numbers: [90, 51] Generated Node #3: [90, 51] from Operation: 63-12=51 Current State: 39:[90, 51], Operations: ['44+46=90', '63-12=51'] Exploring Operation: 90-51=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 42, 33, 76, 60 ]
25
[ "42-33=9", "76-60=16", "9+16=25" ]
Current State: 25:[42, 33, 76, 60], Operations: [] Exploring Operation: 42-33=9, Resulting Numbers: [76, 60, 9] Generated Node #2: [76, 60, 9] from Operation: 42-33=9 Current State: 25:[76, 60, 9], Operations: ['42-33=9'] Exploring Operation: 76-60=16, Resulting Numbers: [9, 16] Generated Node #3: [9, 16] from Operation: 76-60=16 Current State: 25:[9, 16], Operations: ['42-33=9', '76-60=16'] Exploring Operation: 9+16=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 16, 23, 22, 46 ]
14
[ "16*23=368", "368/46=8", "22-8=14" ]
Current State: 14:[16, 23, 22, 46], Operations: [] Exploring Operation: 16*23=368, Resulting Numbers: [22, 46, 368] Generated Node #2: [22, 46, 368] from Operation: 16*23=368 Current State: 14:[22, 46, 368], Operations: ['16*23=368'] Exploring Operation: 368/46=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 368/46=8 Current State: 14:[22, 8], Operations: ['16*23=368', '368/46=8'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 62, 36, 89, 13 ]
50
[ "62-36=26", "89-13=76", "76-26=50" ]
Current State: 50:[62, 36, 89, 13], Operations: [] Exploring Operation: 62-36=26, Resulting Numbers: [89, 13, 26] Generated Node #2: [89, 13, 26] from Operation: 62-36=26 Current State: 50:[89, 13, 26], Operations: ['62-36=26'] Exploring Operation: 89-13=76, Resulting Numbers: [26, 76] Generated Node #3: [26, 76] from Operation: 89-13=76 Current State: 50:[26, 76], Operations: ['62-36=26', '89-13=76'] Exploring Operation: 76-26=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 15, 2, 6, 60 ]
16
[ "60/15=4", "2*6=12", "4+12=16" ]
Current State: 16:[15, 2, 6, 60], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [2, 6, 4] Generated Node #2: [2, 6, 4] from Operation: 60/15=4 Current State: 16:[2, 6, 4], Operations: ['60/15=4'] Exploring Operation: 2*6=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 2*6=12 Current State: 16:[4, 12], Operations: ['60/15=4', '2*6=12'] Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 41, 22, 4, 52 ]
29
[ "41-22=19", "52-4=48", "48-19=29" ]
Current State: 29:[41, 22, 4, 52], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [4, 52, 19] Generated Node #2: [4, 52, 19] from Operation: 41-22=19 Current State: 29:[4, 52, 19], Operations: ['41-22=19'] Exploring Operation: 52-4=48, Resulting Numbers: [19, 48] Generated Node #3: [19, 48] from Operation: 52-4=48 Current State: 29:[19, 48], Operations: ['41-22=19', '52-4=48'] Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 56, 10, 53, 37 ]
81
[ "56-53=3", "37-10=27", "3*27=81" ]
Current State: 81:[56, 10, 53, 37], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [10, 37, 3] Generated Node #2: [10, 37, 3] from Operation: 56-53=3 Current State: 81:[10, 37, 3], Operations: ['56-53=3'] Exploring Operation: 37-10=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 37-10=27 Current State: 81:[3, 27], Operations: ['56-53=3', '37-10=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 97, 3, 69, 84 ]
10
[ "97-84=13", "69/3=23", "23-13=10" ]
Current State: 10:[97, 3, 69, 84], Operations: [] Exploring Operation: 97-84=13, Resulting Numbers: [3, 69, 13] Generated Node #2: [3, 69, 13] from Operation: 97-84=13 Current State: 10:[3, 69, 13], Operations: ['97-84=13'] Exploring Operation: 69/3=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 69/3=23 Current State: 10:[13, 23], Operations: ['97-84=13', '69/3=23'] Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 81, 44, 77 ]
34
[ "81-44=37", "3*37=111", "111-77=34" ]
Current State: 34:[3, 81, 44, 77], Operations: [] Exploring Operation: 81-44=37, Resulting Numbers: [3, 77, 37] Generated Node #2: [3, 77, 37] from Operation: 81-44=37 Current State: 34:[3, 77, 37], Operations: ['81-44=37'] Exploring Operation: 3*37=111, Resulting Numbers: [77, 111] Generated Node #3: [77, 111] from Operation: 3*37=111 Current State: 34:[77, 111], Operations: ['81-44=37', '3*37=111'] Exploring Operation: 111-77=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 39, 65, 36, 2 ]
88
[ "39+65=104", "104/2=52", "36+52=88" ]
Current State: 88:[39, 65, 36, 2], Operations: [] Exploring Operation: 39+65=104, Resulting Numbers: [36, 2, 104] Generated Node #2: [36, 2, 104] from Operation: 39+65=104 Current State: 88:[36, 2, 104], Operations: ['39+65=104'] Exploring Operation: 104/2=52, Resulting Numbers: [36, 52] Generated Node #3: [36, 52] from Operation: 104/2=52 Current State: 88:[36, 52], Operations: ['39+65=104', '104/2=52'] Exploring Operation: 36+52=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 67, 50, 74, 16 ]
74
[ "67-50=17", "17-16=1", "74*1=74" ]
Current State: 74:[67, 50, 74, 16], Operations: [] Exploring Operation: 67-50=17, Resulting Numbers: [74, 16, 17] Generated Node #2: [74, 16, 17] from Operation: 67-50=17 Current State: 74:[74, 16, 17], Operations: ['67-50=17'] Exploring Operation: 17-16=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 17-16=1 Current State: 74:[74, 1], Operations: ['67-50=17', '17-16=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 77, 36, 65, 70 ]
73
[ "77-65=12", "36/12=3", "70+3=73" ]
Current State: 73:[77, 36, 65, 70], Operations: [] Exploring Operation: 77-65=12, Resulting Numbers: [36, 70, 12] Generated Node #2: [36, 70, 12] from Operation: 77-65=12 Current State: 73:[36, 70, 12], Operations: ['77-65=12'] Exploring Operation: 36/12=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 36/12=3 Current State: 73:[70, 3], Operations: ['77-65=12', '36/12=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 60, 64, 47, 45 ]
56
[ "47-45=2", "60*2=120", "120-64=56" ]
Current State: 56:[60, 64, 47, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [60, 64, 2] Generated Node #2: [60, 64, 2] from Operation: 47-45=2 Current State: 56:[60, 64, 2], Operations: ['47-45=2'] Exploring Operation: 60*2=120, Resulting Numbers: [64, 120] Generated Node #3: [64, 120] from Operation: 60*2=120 Current State: 56:[64, 120], Operations: ['47-45=2', '60*2=120'] Exploring Operation: 120-64=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 83, 39, 66 ]
68
[ "90+83=173", "39+66=105", "173-105=68" ]
Current State: 68:[90, 83, 39, 66], Operations: [] Exploring Operation: 90+83=173, Resulting Numbers: [39, 66, 173] Generated Node #2: [39, 66, 173] from Operation: 90+83=173 Current State: 68:[39, 66, 173], Operations: ['90+83=173'] Exploring Operation: 39+66=105, Resulting Numbers: [173, 105] Generated Node #3: [173, 105] from Operation: 39+66=105 Current State: 68:[173, 105], Operations: ['90+83=173', '39+66=105'] Exploring Operation: 173-105=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 16, 80, 79, 2 ]
55
[ "16+79=95", "80/2=40", "95-40=55" ]
Current State: 55:[16, 80, 79, 2], Operations: [] Exploring Operation: 16+79=95, Resulting Numbers: [80, 2, 95] Generated Node #2: [80, 2, 95] from Operation: 16+79=95 Current State: 55:[80, 2, 95], Operations: ['16+79=95'] Exploring Operation: 80/2=40, Resulting Numbers: [95, 40] Generated Node #3: [95, 40] from Operation: 80/2=40 Current State: 55:[95, 40], Operations: ['16+79=95', '80/2=40'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 36, 91, 52, 67 ]
64
[ "91-36=55", "52+67=119", "119-55=64" ]
Current State: 64:[36, 91, 52, 67], Operations: [] Exploring Operation: 91-36=55, Resulting Numbers: [52, 67, 55] Generated Node #2: [52, 67, 55] from Operation: 91-36=55 Current State: 64:[52, 67, 55], Operations: ['91-36=55'] Exploring Operation: 52+67=119, Resulting Numbers: [55, 119] Generated Node #3: [55, 119] from Operation: 52+67=119 Current State: 64:[55, 119], Operations: ['91-36=55', '52+67=119'] Exploring Operation: 119-55=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 87, 80, 95 ]
17
[ "24+95=119", "87-80=7", "119/7=17" ]
Current State: 17:[24, 87, 80, 95], Operations: [] Exploring Operation: 24+95=119, Resulting Numbers: [87, 80, 119] Generated Node #2: [87, 80, 119] from Operation: 24+95=119 Current State: 17:[87, 80, 119], Operations: ['24+95=119'] Exploring Operation: 87-80=7, Resulting Numbers: [119, 7] Generated Node #3: [119, 7] from Operation: 87-80=7 Current State: 17:[119, 7], Operations: ['24+95=119', '87-80=7'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 74, 25, 76 ]
23
[ "21+25=46", "76-74=2", "46/2=23" ]
Current State: 23:[21, 74, 25, 76], Operations: [] Exploring Operation: 21+25=46, Resulting Numbers: [74, 76, 46] Generated Node #2: [74, 76, 46] from Operation: 21+25=46 Current State: 23:[74, 76, 46], Operations: ['21+25=46'] Exploring Operation: 76-74=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 76-74=2 Current State: 23:[46, 2], Operations: ['21+25=46', '76-74=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 71, 5, 99, 57 ]
83
[ "99-71=28", "5*28=140", "140-57=83" ]
Current State: 83:[71, 5, 99, 57], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [5, 57, 28] Generated Node #2: [5, 57, 28] from Operation: 99-71=28 Current State: 83:[5, 57, 28], Operations: ['99-71=28'] Exploring Operation: 5*28=140, Resulting Numbers: [57, 140] Generated Node #3: [57, 140] from Operation: 5*28=140 Current State: 83:[57, 140], Operations: ['99-71=28', '5*28=140'] Exploring Operation: 140-57=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 87, 42, 70, 50 ]
65
[ "87-42=45", "70-50=20", "45+20=65" ]
Current State: 65:[87, 42, 70, 50], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [70, 50, 45] Generated Node #2: [70, 50, 45] from Operation: 87-42=45 Current State: 65:[70, 50, 45], Operations: ['87-42=45'] Exploring Operation: 70-50=20, Resulting Numbers: [45, 20] Generated Node #3: [45, 20] from Operation: 70-50=20 Current State: 65:[45, 20], Operations: ['87-42=45', '70-50=20'] Exploring Operation: 45+20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 96, 2, 54 ]
60
[ "96/8=12", "12/2=6", "54+6=60" ]
Current State: 60:[8, 96, 2, 54], Operations: [] Exploring Operation: 96/8=12, Resulting Numbers: [2, 54, 12] Generated Node #2: [2, 54, 12] from Operation: 96/8=12 Current State: 60:[2, 54, 12], Operations: ['96/8=12'] Exploring Operation: 12/2=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 12/2=6 Current State: 60:[54, 6], Operations: ['96/8=12', '12/2=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 72, 67, 33 ]
31
[ "66/33=2", "72/2=36", "67-36=31" ]
Current State: 31:[66, 72, 67, 33], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [72, 67, 2] Generated Node #2: [72, 67, 2] from Operation: 66/33=2 Current State: 31:[72, 67, 2], Operations: ['66/33=2'] Exploring Operation: 72/2=36, Resulting Numbers: [67, 36] Generated Node #3: [67, 36] from Operation: 72/2=36 Current State: 31:[67, 36], Operations: ['66/33=2', '72/2=36'] Exploring Operation: 67-36=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 83, 46, 71 ]
27
[ "85-83=2", "71-46=25", "2+25=27" ]
Current State: 27:[85, 83, 46, 71], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [46, 71, 2] Generated Node #2: [46, 71, 2] from Operation: 85-83=2 Current State: 27:[46, 71, 2], Operations: ['85-83=2'] Exploring Operation: 71-46=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 71-46=25 Current State: 27:[2, 25], Operations: ['85-83=2', '71-46=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 7, 10, 28, 26 ]
58
[ "10-7=3", "28*3=84", "84-26=58" ]
Current State: 58:[7, 10, 28, 26], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [28, 26, 3] Generated Node #2: [28, 26, 3] from Operation: 10-7=3 Current State: 58:[28, 26, 3], Operations: ['10-7=3'] Exploring Operation: 28*3=84, Resulting Numbers: [26, 84] Generated Node #3: [26, 84] from Operation: 28*3=84 Current State: 58:[26, 84], Operations: ['10-7=3', '28*3=84'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 37, 41, 38 ]
53
[ "19+37=56", "41-38=3", "56-3=53" ]
Current State: 53:[19, 37, 41, 38], Operations: [] Exploring Operation: 19+37=56, Resulting Numbers: [41, 38, 56] Generated Node #2: [41, 38, 56] from Operation: 19+37=56 Current State: 53:[41, 38, 56], Operations: ['19+37=56'] Exploring Operation: 41-38=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 41-38=3 Current State: 53:[56, 3], Operations: ['19+37=56', '41-38=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 6, 42, 38 ]
28
[ "2*38=76", "6+42=48", "76-48=28" ]
Current State: 28:[2, 6, 42, 38], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [6, 42, 76] Generated Node #2: [6, 42, 76] from Operation: 2*38=76 Current State: 28:[6, 42, 76], Operations: ['2*38=76'] Exploring Operation: 6+42=48, Resulting Numbers: [76, 48] Generated Node #3: [76, 48] from Operation: 6+42=48 Current State: 28:[76, 48], Operations: ['2*38=76', '6+42=48'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 65, 37, 60, 17 ]
71
[ "65-37=28", "60-17=43", "28+43=71" ]
Current State: 71:[65, 37, 60, 17], Operations: [] Exploring Operation: 65-37=28, Resulting Numbers: [60, 17, 28] Generated Node #2: [60, 17, 28] from Operation: 65-37=28 Current State: 71:[60, 17, 28], Operations: ['65-37=28'] Exploring Operation: 60-17=43, Resulting Numbers: [28, 43] Generated Node #3: [28, 43] from Operation: 60-17=43 Current State: 71:[28, 43], Operations: ['65-37=28', '60-17=43'] Exploring Operation: 28+43=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 4, 27, 16 ]
14
[ "29-4=25", "27-16=11", "25-11=14" ]
Current State: 14:[29, 4, 27, 16], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [27, 16, 25] Generated Node #2: [27, 16, 25] from Operation: 29-4=25 Current State: 14:[27, 16, 25], Operations: ['29-4=25'] Exploring Operation: 27-16=11, Resulting Numbers: [25, 11] Generated Node #3: [25, 11] from Operation: 27-16=11 Current State: 14:[25, 11], Operations: ['29-4=25', '27-16=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 27, 20, 11 ]
47
[ "12-11=1", "27+20=47", "1*47=47" ]
Current State: 47:[12, 27, 20, 11], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [27, 20, 1] Generated Node #2: [27, 20, 1] from Operation: 12-11=1 Current State: 47:[27, 20, 1], Operations: ['12-11=1'] Exploring Operation: 27+20=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 27+20=47 Current State: 47:[1, 47], Operations: ['12-11=1', '27+20=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 15, 44, 57, 97 ]
99
[ "15+44=59", "97-57=40", "59+40=99" ]
Current State: 99:[15, 44, 57, 97], Operations: [] Exploring Operation: 15+44=59, Resulting Numbers: [57, 97, 59] Generated Node #2: [57, 97, 59] from Operation: 15+44=59 Current State: 99:[57, 97, 59], Operations: ['15+44=59'] Exploring Operation: 97-57=40, Resulting Numbers: [59, 40] Generated Node #3: [59, 40] from Operation: 97-57=40 Current State: 99:[59, 40], Operations: ['15+44=59', '97-57=40'] Exploring Operation: 59+40=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 54, 49, 47, 48 ]
41
[ "54-47=7", "49/7=7", "48-7=41" ]
Current State: 41:[54, 49, 47, 48], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [49, 48, 7] Generated Node #2: [49, 48, 7] from Operation: 54-47=7 Current State: 41:[49, 48, 7], Operations: ['54-47=7'] Exploring Operation: 49/7=7, Resulting Numbers: [48, 7] Generated Node #3: [48, 7] from Operation: 49/7=7 Current State: 41:[48, 7], Operations: ['54-47=7', '49/7=7'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 94, 48, 57 ]
58
[ "94-27=67", "57-48=9", "67-9=58" ]
Current State: 58:[27, 94, 48, 57], Operations: [] Exploring Operation: 94-27=67, Resulting Numbers: [48, 57, 67] Generated Node #2: [48, 57, 67] from Operation: 94-27=67 Current State: 58:[48, 57, 67], Operations: ['94-27=67'] Exploring Operation: 57-48=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 57-48=9 Current State: 58:[67, 9], Operations: ['94-27=67', '57-48=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 34, 35, 65, 32 ]
68
[ "65-35=30", "32-30=2", "34*2=68" ]
Current State: 68:[34, 35, 65, 32], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [34, 32, 30] Generated Node #2: [34, 32, 30] from Operation: 65-35=30 Current State: 68:[34, 32, 30], Operations: ['65-35=30'] Exploring Operation: 32-30=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 32-30=2 Current State: 68:[34, 2], Operations: ['65-35=30', '32-30=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 55, 36, 27 ]
32
[ "55-31=24", "36*24=864", "864/27=32" ]
Current State: 32:[31, 55, 36, 27], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [36, 27, 24] Generated Node #2: [36, 27, 24] from Operation: 55-31=24 Current State: 32:[36, 27, 24], Operations: ['55-31=24'] Exploring Operation: 36*24=864, Resulting Numbers: [27, 864] Generated Node #3: [27, 864] from Operation: 36*24=864 Current State: 32:[27, 864], Operations: ['55-31=24', '36*24=864'] Exploring Operation: 864/27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 27, 9, 62 ]
21
[ "62-27=35", "9*35=315", "315/15=21" ]
Current State: 21:[15, 27, 9, 62], Operations: [] Exploring Operation: 62-27=35, Resulting Numbers: [15, 9, 35] Generated Node #2: [15, 9, 35] from Operation: 62-27=35 Current State: 21:[15, 9, 35], Operations: ['62-27=35'] Exploring Operation: 9*35=315, Resulting Numbers: [15, 315] Generated Node #3: [15, 315] from Operation: 9*35=315 Current State: 21:[15, 315], Operations: ['62-27=35', '9*35=315'] Exploring Operation: 315/15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 32, 20, 16, 34 ]
44
[ "32/16=2", "20/2=10", "34+10=44" ]
Current State: 44:[32, 20, 16, 34], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [20, 34, 2] Generated Node #2: [20, 34, 2] from Operation: 32/16=2 Current State: 44:[20, 34, 2], Operations: ['32/16=2'] Exploring Operation: 20/2=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 20/2=10 Current State: 44:[34, 10], Operations: ['32/16=2', '20/2=10'] Exploring Operation: 34+10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 78, 5, 7, 60 ]
55
[ "78-7=71", "71-60=11", "5*11=55" ]
Current State: 55:[78, 5, 7, 60], Operations: [] Exploring Operation: 78-7=71, Resulting Numbers: [5, 60, 71] Generated Node #2: [5, 60, 71] from Operation: 78-7=71 Current State: 55:[5, 60, 71], Operations: ['78-7=71'] Exploring Operation: 71-60=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 71-60=11 Current State: 55:[5, 11], Operations: ['78-7=71', '71-60=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 38, 65, 70, 98 ]
75
[ "38+65=103", "98-70=28", "103-28=75" ]
Current State: 75:[38, 65, 70, 98], Operations: [] Exploring Operation: 38+65=103, Resulting Numbers: [70, 98, 103] Generated Node #2: [70, 98, 103] from Operation: 38+65=103 Current State: 75:[70, 98, 103], Operations: ['38+65=103'] Exploring Operation: 98-70=28, Resulting Numbers: [103, 28] Generated Node #3: [103, 28] from Operation: 98-70=28 Current State: 75:[103, 28], Operations: ['38+65=103', '98-70=28'] Exploring Operation: 103-28=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 86, 68, 30, 43 ]
40
[ "86/43=2", "68-30=38", "2+38=40" ]
Current State: 40:[86, 68, 30, 43], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [68, 30, 2] Generated Node #2: [68, 30, 2] from Operation: 86/43=2 Current State: 40:[68, 30, 2], Operations: ['86/43=2'] Exploring Operation: 68-30=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 68-30=38 Current State: 40:[2, 38], Operations: ['86/43=2', '68-30=38'] Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 12, 78, 51, 39 ]
77
[ "51-12=39", "39/39=1", "78-1=77" ]
Current State: 77:[12, 78, 51, 39], Operations: [] Exploring Operation: 51-12=39, Resulting Numbers: [78, 39, 39] Generated Node #2: [78, 39, 39] from Operation: 51-12=39 Current State: 77:[78, 39, 39], Operations: ['51-12=39'] Exploring Operation: 39/39=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 39/39=1 Current State: 77:[78, 1], Operations: ['51-12=39', '39/39=1'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 6, 97, 84 ]
22
[ "41-6=35", "97-84=13", "35-13=22" ]
Current State: 22:[41, 6, 97, 84], Operations: [] Exploring Operation: 41-6=35, Resulting Numbers: [97, 84, 35] Generated Node #2: [97, 84, 35] from Operation: 41-6=35 Current State: 22:[97, 84, 35], Operations: ['41-6=35'] Exploring Operation: 97-84=13, Resulting Numbers: [35, 13] Generated Node #3: [35, 13] from Operation: 97-84=13 Current State: 22:[35, 13], Operations: ['41-6=35', '97-84=13'] Exploring Operation: 35-13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 30, 29, 73 ]
23
[ "55*30=1650", "29+1650=1679", "1679/73=23" ]
Current State: 23:[55, 30, 29, 73], Operations: [] Exploring Operation: 55*30=1650, Resulting Numbers: [29, 73, 1650] Generated Node #2: [29, 73, 1650] from Operation: 55*30=1650 Current State: 23:[29, 73, 1650], Operations: ['55*30=1650'] Exploring Operation: 29+1650=1679, Resulting Numbers: [73, 1679] Generated Node #3: [73, 1679] from Operation: 29+1650=1679 Current State: 23:[73, 1679], Operations: ['55*30=1650', '29+1650=1679'] Exploring Operation: 1679/73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 44, 31, 62, 34 ]
39
[ "44+34=78", "62/31=2", "78/2=39" ]
Current State: 39:[44, 31, 62, 34], Operations: [] Exploring Operation: 44+34=78, Resulting Numbers: [31, 62, 78] Generated Node #2: [31, 62, 78] from Operation: 44+34=78 Current State: 39:[31, 62, 78], Operations: ['44+34=78'] Exploring Operation: 62/31=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 62/31=2 Current State: 39:[78, 2], Operations: ['44+34=78', '62/31=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 70, 92, 32, 46 ]
67
[ "70*46=3220", "3220/92=35", "32+35=67" ]
Current State: 67:[70, 92, 32, 46], Operations: [] Exploring Operation: 70*46=3220, Resulting Numbers: [92, 32, 3220] Generated Node #2: [92, 32, 3220] from Operation: 70*46=3220 Current State: 67:[92, 32, 3220], Operations: ['70*46=3220'] Exploring Operation: 3220/92=35, Resulting Numbers: [32, 35] Generated Node #3: [32, 35] from Operation: 3220/92=35 Current State: 67:[32, 35], Operations: ['70*46=3220', '3220/92=35'] Exploring Operation: 32+35=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 58, 48, 88, 4 ]
94
[ "58-48=10", "88-4=84", "10+84=94" ]
Current State: 94:[58, 48, 88, 4], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [88, 4, 10] Generated Node #2: [88, 4, 10] from Operation: 58-48=10 Current State: 94:[88, 4, 10], Operations: ['58-48=10'] Exploring Operation: 88-4=84, Resulting Numbers: [10, 84] Generated Node #3: [10, 84] from Operation: 88-4=84 Current State: 94:[10, 84], Operations: ['58-48=10', '88-4=84'] Exploring Operation: 10+84=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 25, 51, 54 ]
25
[ "4+51=55", "55-54=1", "25*1=25" ]
Current State: 25:[4, 25, 51, 54], Operations: [] Exploring Operation: 4+51=55, Resulting Numbers: [25, 54, 55] Generated Node #2: [25, 54, 55] from Operation: 4+51=55 Current State: 25:[25, 54, 55], Operations: ['4+51=55'] Exploring Operation: 55-54=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 55-54=1 Current State: 25:[25, 1], Operations: ['4+51=55', '55-54=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 52, 84, 66, 74 ]
81
[ "74-52=22", "66/22=3", "84-3=81" ]
Current State: 81:[52, 84, 66, 74], Operations: [] Exploring Operation: 74-52=22, Resulting Numbers: [84, 66, 22] Generated Node #2: [84, 66, 22] from Operation: 74-52=22 Current State: 81:[84, 66, 22], Operations: ['74-52=22'] Exploring Operation: 66/22=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 66/22=3 Current State: 81:[84, 3], Operations: ['74-52=22', '66/22=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 92, 4, 58, 48 ]
46
[ "92-58=34", "48/4=12", "34+12=46" ]
Current State: 46:[92, 4, 58, 48], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [4, 48, 34] Generated Node #2: [4, 48, 34] from Operation: 92-58=34 Current State: 46:[4, 48, 34], Operations: ['92-58=34'] Exploring Operation: 48/4=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 48/4=12 Current State: 46:[34, 12], Operations: ['92-58=34', '48/4=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 85, 96, 23, 39 ]
48
[ "85-39=46", "96*23=2208", "2208/46=48" ]
Current State: 48:[85, 96, 23, 39], Operations: [] Exploring Operation: 85-39=46, Resulting Numbers: [96, 23, 46] Generated Node #2: [96, 23, 46] from Operation: 85-39=46 Current State: 48:[96, 23, 46], Operations: ['85-39=46'] Exploring Operation: 96*23=2208, Resulting Numbers: [46, 2208] Generated Node #3: [46, 2208] from Operation: 96*23=2208 Current State: 48:[46, 2208], Operations: ['85-39=46', '96*23=2208'] Exploring Operation: 2208/46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 7, 31, 73 ]
94
[ "73-64=9", "7*9=63", "31+63=94" ]
Current State: 94:[64, 7, 31, 73], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [7, 31, 9] Generated Node #2: [7, 31, 9] from Operation: 73-64=9 Current State: 94:[7, 31, 9], Operations: ['73-64=9'] Exploring Operation: 7*9=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 7*9=63 Current State: 94:[31, 63], Operations: ['73-64=9', '7*9=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 66, 95, 28, 39 ]
96
[ "95-66=29", "28+39=67", "29+67=96" ]
Current State: 96:[66, 95, 28, 39], Operations: [] Exploring Operation: 95-66=29, Resulting Numbers: [28, 39, 29] Generated Node #2: [28, 39, 29] from Operation: 95-66=29 Current State: 96:[28, 39, 29], Operations: ['95-66=29'] Exploring Operation: 28+39=67, Resulting Numbers: [29, 67] Generated Node #3: [29, 67] from Operation: 28+39=67 Current State: 96:[29, 67], Operations: ['95-66=29', '28+39=67'] Exploring Operation: 29+67=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 37, 53, 3 ]
91
[ "85-37=48", "3*48=144", "144-53=91" ]
Current State: 91:[85, 37, 53, 3], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [53, 3, 48] Generated Node #2: [53, 3, 48] from Operation: 85-37=48 Current State: 91:[53, 3, 48], Operations: ['85-37=48'] Exploring Operation: 3*48=144, Resulting Numbers: [53, 144] Generated Node #3: [53, 144] from Operation: 3*48=144 Current State: 91:[53, 144], Operations: ['85-37=48', '3*48=144'] Exploring Operation: 144-53=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 8, 13, 16 ]
17
[ "16+16=32", "32/8=4", "13+4=17" ]
Current State: 17:[16, 8, 13, 16], Operations: [] Exploring Operation: 16+16=32, Resulting Numbers: [8, 13, 32] Generated Node #2: [8, 13, 32] from Operation: 16+16=32 Current State: 17:[8, 13, 32], Operations: ['16+16=32'] Exploring Operation: 32/8=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 32/8=4 Current State: 17:[13, 4], Operations: ['16+16=32', '32/8=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 31, 15, 84, 48 ]
52
[ "31-15=16", "84-48=36", "16+36=52" ]
Current State: 52:[31, 15, 84, 48], Operations: [] Exploring Operation: 31-15=16, Resulting Numbers: [84, 48, 16] Generated Node #2: [84, 48, 16] from Operation: 31-15=16 Current State: 52:[84, 48, 16], Operations: ['31-15=16'] Exploring Operation: 84-48=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 84-48=36 Current State: 52:[16, 36], Operations: ['31-15=16', '84-48=36'] Exploring Operation: 16+36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 59, 27, 25 ]
56
[ "59-27=32", "32-25=7", "8*7=56" ]
Current State: 56:[8, 59, 27, 25], Operations: [] Exploring Operation: 59-27=32, Resulting Numbers: [8, 25, 32] Generated Node #2: [8, 25, 32] from Operation: 59-27=32 Current State: 56:[8, 25, 32], Operations: ['59-27=32'] Exploring Operation: 32-25=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 32-25=7 Current State: 56:[8, 7], Operations: ['59-27=32', '32-25=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 60, 76, 91 ]
98
[ "53+60=113", "91-76=15", "113-15=98" ]
Current State: 98:[53, 60, 76, 91], Operations: [] Exploring Operation: 53+60=113, Resulting Numbers: [76, 91, 113] Generated Node #2: [76, 91, 113] from Operation: 53+60=113 Current State: 98:[76, 91, 113], Operations: ['53+60=113'] Exploring Operation: 91-76=15, Resulting Numbers: [113, 15] Generated Node #3: [113, 15] from Operation: 91-76=15 Current State: 98:[113, 15], Operations: ['53+60=113', '91-76=15'] Exploring Operation: 113-15=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 60, 1, 71, 86 ]
46
[ "60+1=61", "86-71=15", "61-15=46" ]
Current State: 46:[60, 1, 71, 86], Operations: [] Exploring Operation: 60+1=61, Resulting Numbers: [71, 86, 61] Generated Node #2: [71, 86, 61] from Operation: 60+1=61 Current State: 46:[71, 86, 61], Operations: ['60+1=61'] Exploring Operation: 86-71=15, Resulting Numbers: [61, 15] Generated Node #3: [61, 15] from Operation: 86-71=15 Current State: 46:[61, 15], Operations: ['60+1=61', '86-71=15'] Exploring Operation: 61-15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 19, 49, 10 ]
57
[ "49/7=7", "10-7=3", "19*3=57" ]
Current State: 57:[7, 19, 49, 10], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [19, 10, 7] Generated Node #2: [19, 10, 7] from Operation: 49/7=7 Current State: 57:[19, 10, 7], Operations: ['49/7=7'] Exploring Operation: 10-7=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 10-7=3 Current State: 57:[19, 3], Operations: ['49/7=7', '10-7=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 27, 6, 4 ]
13
[ "2*27=54", "54/6=9", "4+9=13" ]
Current State: 13:[2, 27, 6, 4], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [6, 4, 54] Generated Node #2: [6, 4, 54] from Operation: 2*27=54 Current State: 13:[6, 4, 54], Operations: ['2*27=54'] Exploring Operation: 54/6=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 54/6=9 Current State: 13:[4, 9], Operations: ['2*27=54', '54/6=9'] Exploring Operation: 4+9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 49, 44, 74 ]
25
[ "6+49=55", "74-44=30", "55-30=25" ]
Current State: 25:[6, 49, 44, 74], Operations: [] Exploring Operation: 6+49=55, Resulting Numbers: [44, 74, 55] Generated Node #2: [44, 74, 55] from Operation: 6+49=55 Current State: 25:[44, 74, 55], Operations: ['6+49=55'] Exploring Operation: 74-44=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 74-44=30 Current State: 25:[55, 30], Operations: ['6+49=55', '74-44=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 11, 91, 84 ]
41
[ "84/7=12", "11*12=132", "132-91=41" ]
Current State: 41:[7, 11, 91, 84], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [11, 91, 12] Generated Node #2: [11, 91, 12] from Operation: 84/7=12 Current State: 41:[11, 91, 12], Operations: ['84/7=12'] Exploring Operation: 11*12=132, Resulting Numbers: [91, 132] Generated Node #3: [91, 132] from Operation: 11*12=132 Current State: 41:[91, 132], Operations: ['84/7=12', '11*12=132'] Exploring Operation: 132-91=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 70, 96, 29, 35 ]
32
[ "96-70=26", "35-29=6", "26+6=32" ]
Current State: 32:[70, 96, 29, 35], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [29, 35, 26] Generated Node #2: [29, 35, 26] from Operation: 96-70=26 Current State: 32:[29, 35, 26], Operations: ['96-70=26'] Exploring Operation: 35-29=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 35-29=6 Current State: 32:[26, 6], Operations: ['96-70=26', '35-29=6'] Exploring Operation: 26+6=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 65, 96, 4, 83 ]
81
[ "65*4=260", "96+83=179", "260-179=81" ]
Current State: 81:[65, 96, 4, 83], Operations: [] Exploring Operation: 65*4=260, Resulting Numbers: [96, 83, 260] Generated Node #2: [96, 83, 260] from Operation: 65*4=260 Current State: 81:[96, 83, 260], Operations: ['65*4=260'] Exploring Operation: 96+83=179, Resulting Numbers: [260, 179] Generated Node #3: [260, 179] from Operation: 96+83=179 Current State: 81:[260, 179], Operations: ['65*4=260', '96+83=179'] Exploring Operation: 260-179=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 49, 59, 4, 13 ]
67
[ "59+13=72", "72/4=18", "49+18=67" ]
Current State: 67:[49, 59, 4, 13], Operations: [] Exploring Operation: 59+13=72, Resulting Numbers: [49, 4, 72] Generated Node #2: [49, 4, 72] from Operation: 59+13=72 Current State: 67:[49, 4, 72], Operations: ['59+13=72'] Exploring Operation: 72/4=18, Resulting Numbers: [49, 18] Generated Node #3: [49, 18] from Operation: 72/4=18 Current State: 67:[49, 18], Operations: ['59+13=72', '72/4=18'] Exploring Operation: 49+18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 6, 93, 80 ]
94
[ "93-9=84", "84/6=14", "80+14=94" ]
Current State: 94:[9, 6, 93, 80], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [6, 80, 84] Generated Node #2: [6, 80, 84] from Operation: 93-9=84 Current State: 94:[6, 80, 84], Operations: ['93-9=84'] Exploring Operation: 84/6=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 84/6=14 Current State: 94:[80, 14], Operations: ['93-9=84', '84/6=14'] Exploring Operation: 80+14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 90, 26, 13 ]
84
[ "90/2=45", "26+13=39", "45+39=84" ]
Current State: 84:[2, 90, 26, 13], Operations: [] Exploring Operation: 90/2=45, Resulting Numbers: [26, 13, 45] Generated Node #2: [26, 13, 45] from Operation: 90/2=45 Current State: 84:[26, 13, 45], Operations: ['90/2=45'] Exploring Operation: 26+13=39, Resulting Numbers: [45, 39] Generated Node #3: [45, 39] from Operation: 26+13=39 Current State: 84:[45, 39], Operations: ['90/2=45', '26+13=39'] Exploring Operation: 45+39=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 82, 66, 41 ]
27
[ "52+82=134", "66+41=107", "134-107=27" ]
Current State: 27:[52, 82, 66, 41], Operations: [] Exploring Operation: 52+82=134, Resulting Numbers: [66, 41, 134] Generated Node #2: [66, 41, 134] from Operation: 52+82=134 Current State: 27:[66, 41, 134], Operations: ['52+82=134'] Exploring Operation: 66+41=107, Resulting Numbers: [134, 107] Generated Node #3: [134, 107] from Operation: 66+41=107 Current State: 27:[134, 107], Operations: ['52+82=134', '66+41=107'] Exploring Operation: 134-107=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 29, 91, 12, 2 ]
100
[ "91-29=62", "62-12=50", "2*50=100" ]
Current State: 100:[29, 91, 12, 2], Operations: [] Exploring Operation: 91-29=62, Resulting Numbers: [12, 2, 62] Generated Node #2: [12, 2, 62] from Operation: 91-29=62 Current State: 100:[12, 2, 62], Operations: ['91-29=62'] Exploring Operation: 62-12=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 62-12=50 Current State: 100:[2, 50], Operations: ['91-29=62', '62-12=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 7, 46, 34 ]
63
[ "71-46=25", "34-25=9", "7*9=63" ]
Current State: 63:[71, 7, 46, 34], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [7, 34, 25] Generated Node #2: [7, 34, 25] from Operation: 71-46=25 Current State: 63:[7, 34, 25], Operations: ['71-46=25'] Exploring Operation: 34-25=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 34-25=9 Current State: 63:[7, 9], Operations: ['71-46=25', '34-25=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 14, 89, 53, 45 ]
67
[ "89-14=75", "53-45=8", "75-8=67" ]
Current State: 67:[14, 89, 53, 45], Operations: [] Exploring Operation: 89-14=75, Resulting Numbers: [53, 45, 75] Generated Node #2: [53, 45, 75] from Operation: 89-14=75 Current State: 67:[53, 45, 75], Operations: ['89-14=75'] Exploring Operation: 53-45=8, Resulting Numbers: [75, 8] Generated Node #3: [75, 8] from Operation: 53-45=8 Current State: 67:[75, 8], Operations: ['89-14=75', '53-45=8'] Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 24, 65, 15, 29 ]
62
[ "29-24=5", "15/5=3", "65-3=62" ]
Current State: 62:[24, 65, 15, 29], Operations: [] Exploring Operation: 29-24=5, Resulting Numbers: [65, 15, 5] Generated Node #2: [65, 15, 5] from Operation: 29-24=5 Current State: 62:[65, 15, 5], Operations: ['29-24=5'] Exploring Operation: 15/5=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 15/5=3 Current State: 62:[65, 3], Operations: ['29-24=5', '15/5=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4