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
[ 73, 41, 66, 18 ]
80
[ "73-41=32", "66-18=48", "32+48=80" ]
Current State: 80:[73, 41, 66, 18], Operations: [] Exploring Operation: 73-41=32, Resulting Numbers: [66, 18, 32] Generated Node #2: [66, 18, 32] from Operation: 73-41=32 Current State: 80:[66, 18, 32], Operations: ['73-41=32'] Exploring Operation: 66-18=48, Resulting Numbers: [32, 48] Generated Node #3: [32, 48] from Operation: 66-18=48 Current State: 80:[32, 48], Operations: ['73-41=32', '66-18=48'] Exploring Operation: 32+48=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 63, 47, 48, 89 ]
57
[ "63-47=16", "89-48=41", "16+41=57" ]
Current State: 57:[63, 47, 48, 89], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [48, 89, 16] Generated Node #2: [48, 89, 16] from Operation: 63-47=16 Current State: 57:[48, 89, 16], Operations: ['63-47=16'] Exploring Operation: 89-48=41, Resulting Numbers: [16, 41] Generated Node #3: [16, 41] from Operation: 89-48=41 Current State: 57:[16, 41], Operations: ['63-47=16', '89-48=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 66, 18, 42, 62 ]
30
[ "66-62=4", "18*4=72", "72-42=30" ]
Current State: 30:[66, 18, 42, 62], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [18, 42, 4] Generated Node #2: [18, 42, 4] from Operation: 66-62=4 Current State: 30:[18, 42, 4], Operations: ['66-62=4'] Exploring Operation: 18*4=72, Resulting Numbers: [42, 72] Generated Node #3: [42, 72] from Operation: 18*4=72 Current State: 30:[42, 72], Operations: ['66-62=4', '18*4=72'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 91, 36, 43, 14 ]
89
[ "43-36=7", "14/7=2", "91-2=89" ]
Current State: 89:[91, 36, 43, 14], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [91, 14, 7] Generated Node #2: [91, 14, 7] from Operation: 43-36=7 Current State: 89:[91, 14, 7], Operations: ['43-36=7'] Exploring Operation: 14/7=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 14/7=2 Current State: 89:[91, 2], Operations: ['43-36=7', '14/7=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 57, 83, 5, 55 ]
75
[ "83-57=26", "5*26=130", "130-55=75" ]
Current State: 75:[57, 83, 5, 55], Operations: [] Exploring Operation: 83-57=26, Resulting Numbers: [5, 55, 26] Generated Node #2: [5, 55, 26] from Operation: 83-57=26 Current State: 75:[5, 55, 26], Operations: ['83-57=26'] Exploring Operation: 5*26=130, Resulting Numbers: [55, 130] Generated Node #3: [55, 130] from Operation: 5*26=130 Current State: 75:[55, 130], Operations: ['83-57=26', '5*26=130'] Exploring Operation: 130-55=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 37, 7, 66 ]
10
[ "89*7=623", "37+623=660", "660/66=10" ]
Current State: 10:[89, 37, 7, 66], Operations: [] Exploring Operation: 89*7=623, Resulting Numbers: [37, 66, 623] Generated Node #2: [37, 66, 623] from Operation: 89*7=623 Current State: 10:[37, 66, 623], Operations: ['89*7=623'] Exploring Operation: 37+623=660, Resulting Numbers: [66, 660] Generated Node #3: [66, 660] from Operation: 37+623=660 Current State: 10:[66, 660], Operations: ['89*7=623', '37+623=660'] Exploring Operation: 660/66=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 11, 40, 4, 75 ]
56
[ "75-11=64", "64/4=16", "40+16=56" ]
Current State: 56:[11, 40, 4, 75], Operations: [] Exploring Operation: 75-11=64, Resulting Numbers: [40, 4, 64] Generated Node #2: [40, 4, 64] from Operation: 75-11=64 Current State: 56:[40, 4, 64], Operations: ['75-11=64'] Exploring Operation: 64/4=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 64/4=16 Current State: 56:[40, 16], Operations: ['75-11=64', '64/4=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 89, 20, 16, 33 ]
43
[ "20-16=4", "33*4=132", "132-89=43" ]
Current State: 43:[89, 20, 16, 33], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [89, 33, 4] Generated Node #2: [89, 33, 4] from Operation: 20-16=4 Current State: 43:[89, 33, 4], Operations: ['20-16=4'] Exploring Operation: 33*4=132, Resulting Numbers: [89, 132] Generated Node #3: [89, 132] from Operation: 33*4=132 Current State: 43:[89, 132], Operations: ['20-16=4', '33*4=132'] Exploring Operation: 132-89=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 92, 63, 2, 60 ]
94
[ "92-60=32", "63*2=126", "126-32=94" ]
Current State: 94:[92, 63, 2, 60], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [63, 2, 32] Generated Node #2: [63, 2, 32] from Operation: 92-60=32 Current State: 94:[63, 2, 32], Operations: ['92-60=32'] Exploring Operation: 63*2=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 63*2=126 Current State: 94:[32, 126], Operations: ['92-60=32', '63*2=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 80, 10, 6, 21 ]
56
[ "80-10=70", "6*21=126", "126-70=56" ]
Current State: 56:[80, 10, 6, 21], Operations: [] Exploring Operation: 80-10=70, Resulting Numbers: [6, 21, 70] Generated Node #2: [6, 21, 70] from Operation: 80-10=70 Current State: 56:[6, 21, 70], Operations: ['80-10=70'] Exploring Operation: 6*21=126, Resulting Numbers: [70, 126] Generated Node #3: [70, 126] from Operation: 6*21=126 Current State: 56:[70, 126], Operations: ['80-10=70', '6*21=126'] Exploring Operation: 126-70=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 32, 13, 73 ]
15
[ "32/8=4", "73-13=60", "60/4=15" ]
Current State: 15:[8, 32, 13, 73], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [13, 73, 4] Generated Node #2: [13, 73, 4] from Operation: 32/8=4 Current State: 15:[13, 73, 4], Operations: ['32/8=4'] Exploring Operation: 73-13=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 73-13=60 Current State: 15:[4, 60], Operations: ['32/8=4', '73-13=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 57, 75, 64 ]
26
[ "64-57=7", "7*7=49", "75-49=26" ]
Current State: 26:[7, 57, 75, 64], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [7, 75, 7] Generated Node #2: [7, 75, 7] from Operation: 64-57=7 Current State: 26:[7, 75, 7], Operations: ['64-57=7'] Exploring Operation: 7*7=49, Resulting Numbers: [75, 49] Generated Node #3: [75, 49] from Operation: 7*7=49 Current State: 26:[75, 49], Operations: ['64-57=7', '7*7=49'] Exploring Operation: 75-49=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 74, 90, 81, 13 ]
11
[ "81-74=7", "90-13=77", "77/7=11" ]
Current State: 11:[74, 90, 81, 13], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [90, 13, 7] Generated Node #2: [90, 13, 7] from Operation: 81-74=7 Current State: 11:[90, 13, 7], Operations: ['81-74=7'] Exploring Operation: 90-13=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 90-13=77 Current State: 11:[7, 77], Operations: ['81-74=7', '90-13=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 38, 78, 60, 41 ]
86
[ "41-38=3", "78/3=26", "60+26=86" ]
Current State: 86:[38, 78, 60, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [78, 60, 3] Generated Node #2: [78, 60, 3] from Operation: 41-38=3 Current State: 86:[78, 60, 3], Operations: ['41-38=3'] Exploring Operation: 78/3=26, Resulting Numbers: [60, 26] Generated Node #3: [60, 26] from Operation: 78/3=26 Current State: 86:[60, 26], Operations: ['41-38=3', '78/3=26'] Exploring Operation: 60+26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 23, 15, 75 ]
64
[ "45*23=1035", "1035-75=960", "960/15=64" ]
Current State: 64:[45, 23, 15, 75], Operations: [] Exploring Operation: 45*23=1035, Resulting Numbers: [15, 75, 1035] Generated Node #2: [15, 75, 1035] from Operation: 45*23=1035 Current State: 64:[15, 75, 1035], Operations: ['45*23=1035'] Exploring Operation: 1035-75=960, Resulting Numbers: [15, 960] Generated Node #3: [15, 960] from Operation: 1035-75=960 Current State: 64:[15, 960], Operations: ['45*23=1035', '1035-75=960'] Exploring Operation: 960/15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 11, 60, 20, 1 ]
62
[ "11-1=10", "20/10=2", "60+2=62" ]
Current State: 62:[11, 60, 20, 1], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [60, 20, 10] Generated Node #2: [60, 20, 10] from Operation: 11-1=10 Current State: 62:[60, 20, 10], Operations: ['11-1=10'] Exploring Operation: 20/10=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 20/10=2 Current State: 62:[60, 2], Operations: ['11-1=10', '20/10=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 13, 20, 19 ]
17
[ "70-13=57", "57/19=3", "20-3=17" ]
Current State: 17:[70, 13, 20, 19], Operations: [] Exploring Operation: 70-13=57, Resulting Numbers: [20, 19, 57] Generated Node #2: [20, 19, 57] from Operation: 70-13=57 Current State: 17:[20, 19, 57], Operations: ['70-13=57'] Exploring Operation: 57/19=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 57/19=3 Current State: 17:[20, 3], Operations: ['70-13=57', '57/19=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 81, 85, 96, 73 ]
73
[ "81-73=8", "96/8=12", "85-12=73" ]
Current State: 73:[81, 85, 96, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [85, 96, 8] Generated Node #2: [85, 96, 8] from Operation: 81-73=8 Current State: 73:[85, 96, 8], Operations: ['81-73=8'] Exploring Operation: 96/8=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 96/8=12 Current State: 73:[85, 12], Operations: ['81-73=8', '96/8=12'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 32, 68, 98 ]
13
[ "68-58=10", "32+98=130", "130/10=13" ]
Current State: 13:[58, 32, 68, 98], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [32, 98, 10] Generated Node #2: [32, 98, 10] from Operation: 68-58=10 Current State: 13:[32, 98, 10], Operations: ['68-58=10'] Exploring Operation: 32+98=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 32+98=130 Current State: 13:[10, 130], Operations: ['68-58=10', '32+98=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 85, 83, 47 ]
73
[ "85-28=57", "83+47=130", "130-57=73" ]
Current State: 73:[28, 85, 83, 47], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [83, 47, 57] Generated Node #2: [83, 47, 57] from Operation: 85-28=57 Current State: 73:[83, 47, 57], Operations: ['85-28=57'] Exploring Operation: 83+47=130, Resulting Numbers: [57, 130] Generated Node #3: [57, 130] from Operation: 83+47=130 Current State: 73:[57, 130], Operations: ['85-28=57', '83+47=130'] Exploring Operation: 130-57=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 48, 20, 10 ]
48
[ "48+48=96", "20/10=2", "96/2=48" ]
Current State: 48:[48, 48, 20, 10], Operations: [] Exploring Operation: 48+48=96, Resulting Numbers: [20, 10, 96] Generated Node #2: [20, 10, 96] from Operation: 48+48=96 Current State: 48:[20, 10, 96], Operations: ['48+48=96'] Exploring Operation: 20/10=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 20/10=2 Current State: 48:[96, 2], Operations: ['48+48=96', '20/10=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 58, 95, 91, 41 ]
61
[ "58*95=5510", "41+5510=5551", "5551/91=61" ]
Current State: 61:[58, 95, 91, 41], Operations: [] Exploring Operation: 58*95=5510, Resulting Numbers: [91, 41, 5510] Generated Node #2: [91, 41, 5510] from Operation: 58*95=5510 Current State: 61:[91, 41, 5510], Operations: ['58*95=5510'] Exploring Operation: 41+5510=5551, Resulting Numbers: [91, 5551] Generated Node #3: [91, 5551] from Operation: 41+5510=5551 Current State: 61:[91, 5551], Operations: ['58*95=5510', '41+5510=5551'] Exploring Operation: 5551/91=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 30, 66, 16, 21 ]
41
[ "66-30=36", "21-16=5", "36+5=41" ]
Current State: 41:[30, 66, 16, 21], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [16, 21, 36] Generated Node #2: [16, 21, 36] from Operation: 66-30=36 Current State: 41:[16, 21, 36], Operations: ['66-30=36'] Exploring Operation: 21-16=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 21-16=5 Current State: 41:[36, 5], Operations: ['66-30=36', '21-16=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 96, 98, 78, 94 ]
40
[ "96-94=2", "98-78=20", "2*20=40" ]
Current State: 40:[96, 98, 78, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [98, 78, 2] Generated Node #2: [98, 78, 2] from Operation: 96-94=2 Current State: 40:[98, 78, 2], Operations: ['96-94=2'] Exploring Operation: 98-78=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 98-78=20 Current State: 40:[2, 20], Operations: ['96-94=2', '98-78=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 52, 58, 30 ]
80
[ "58-52=6", "30/6=5", "85-5=80" ]
Current State: 80:[85, 52, 58, 30], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [85, 30, 6] Generated Node #2: [85, 30, 6] from Operation: 58-52=6 Current State: 80:[85, 30, 6], Operations: ['58-52=6'] Exploring Operation: 30/6=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 30/6=5 Current State: 80:[85, 5], Operations: ['58-52=6', '30/6=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 51, 11, 36, 12 ]
37
[ "51-11=40", "36/12=3", "40-3=37" ]
Current State: 37:[51, 11, 36, 12], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [36, 12, 40] Generated Node #2: [36, 12, 40] from Operation: 51-11=40 Current State: 37:[36, 12, 40], Operations: ['51-11=40'] Exploring Operation: 36/12=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 36/12=3 Current State: 37:[40, 3], Operations: ['51-11=40', '36/12=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 48, 78, 9 ]
75
[ "96+48=144", "78-9=69", "144-69=75" ]
Current State: 75:[96, 48, 78, 9], Operations: [] Exploring Operation: 96+48=144, Resulting Numbers: [78, 9, 144] Generated Node #2: [78, 9, 144] from Operation: 96+48=144 Current State: 75:[78, 9, 144], Operations: ['96+48=144'] Exploring Operation: 78-9=69, Resulting Numbers: [144, 69] Generated Node #3: [144, 69] from Operation: 78-9=69 Current State: 75:[144, 69], Operations: ['96+48=144', '78-9=69'] Exploring Operation: 144-69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 6, 35, 53 ]
36
[ "60-6=54", "53-35=18", "54-18=36" ]
Current State: 36:[60, 6, 35, 53], Operations: [] Exploring Operation: 60-6=54, Resulting Numbers: [35, 53, 54] Generated Node #2: [35, 53, 54] from Operation: 60-6=54 Current State: 36:[35, 53, 54], Operations: ['60-6=54'] Exploring Operation: 53-35=18, Resulting Numbers: [54, 18] Generated Node #3: [54, 18] from Operation: 53-35=18 Current State: 36:[54, 18], Operations: ['60-6=54', '53-35=18'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 14, 2, 70 ]
33
[ "87+14=101", "70-2=68", "101-68=33" ]
Current State: 33:[87, 14, 2, 70], Operations: [] Exploring Operation: 87+14=101, Resulting Numbers: [2, 70, 101] Generated Node #2: [2, 70, 101] from Operation: 87+14=101 Current State: 33:[2, 70, 101], Operations: ['87+14=101'] Exploring Operation: 70-2=68, Resulting Numbers: [101, 68] Generated Node #3: [101, 68] from Operation: 70-2=68 Current State: 33:[101, 68], Operations: ['87+14=101', '70-2=68'] Exploring Operation: 101-68=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 46, 78, 48 ]
47
[ "46-29=17", "78-48=30", "17+30=47" ]
Current State: 47:[29, 46, 78, 48], Operations: [] Exploring Operation: 46-29=17, Resulting Numbers: [78, 48, 17] Generated Node #2: [78, 48, 17] from Operation: 46-29=17 Current State: 47:[78, 48, 17], Operations: ['46-29=17'] Exploring Operation: 78-48=30, Resulting Numbers: [17, 30] Generated Node #3: [17, 30] from Operation: 78-48=30 Current State: 47:[17, 30], Operations: ['46-29=17', '78-48=30'] Exploring Operation: 17+30=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 36, 66, 13 ]
48
[ "13-11=2", "36/2=18", "66-18=48" ]
Current State: 48:[11, 36, 66, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [36, 66, 2] Generated Node #2: [36, 66, 2] from Operation: 13-11=2 Current State: 48:[36, 66, 2], Operations: ['13-11=2'] Exploring Operation: 36/2=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 36/2=18 Current State: 48:[66, 18], Operations: ['13-11=2', '36/2=18'] Exploring Operation: 66-18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 10, 72, 4 ]
67
[ "39+10=49", "72/4=18", "49+18=67" ]
Current State: 67:[39, 10, 72, 4], Operations: [] Exploring Operation: 39+10=49, Resulting Numbers: [72, 4, 49] Generated Node #2: [72, 4, 49] from Operation: 39+10=49 Current State: 67:[72, 4, 49], Operations: ['39+10=49'] 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: ['39+10=49', '72/4=18'] Exploring Operation: 49+18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 76, 33, 65, 58 ]
36
[ "76-33=43", "65-58=7", "43-7=36" ]
Current State: 36:[76, 33, 65, 58], Operations: [] Exploring Operation: 76-33=43, Resulting Numbers: [65, 58, 43] Generated Node #2: [65, 58, 43] from Operation: 76-33=43 Current State: 36:[65, 58, 43], Operations: ['76-33=43'] Exploring Operation: 65-58=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 65-58=7 Current State: 36:[43, 7], Operations: ['76-33=43', '65-58=7'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 12, 21, 41 ]
78
[ "21*41=861", "75+861=936", "936/12=78" ]
Current State: 78:[75, 12, 21, 41], Operations: [] Exploring Operation: 21*41=861, Resulting Numbers: [75, 12, 861] Generated Node #2: [75, 12, 861] from Operation: 21*41=861 Current State: 78:[75, 12, 861], Operations: ['21*41=861'] Exploring Operation: 75+861=936, Resulting Numbers: [12, 936] Generated Node #3: [12, 936] from Operation: 75+861=936 Current State: 78:[12, 936], Operations: ['21*41=861', '75+861=936'] Exploring Operation: 936/12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 90, 7, 11, 12 ]
87
[ "11-7=4", "12/4=3", "90-3=87" ]
Current State: 87:[90, 7, 11, 12], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [90, 12, 4] Generated Node #2: [90, 12, 4] from Operation: 11-7=4 Current State: 87:[90, 12, 4], Operations: ['11-7=4'] Exploring Operation: 12/4=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 12/4=3 Current State: 87:[90, 3], Operations: ['11-7=4', '12/4=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 30, 95, 12 ]
71
[ "30-18=12", "95-12=83", "83-12=71" ]
Current State: 71:[18, 30, 95, 12], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [95, 12, 12] Generated Node #2: [95, 12, 12] from Operation: 30-18=12 Current State: 71:[95, 12, 12], Operations: ['30-18=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,71 equal: Goal Reached Exploring Operation: 83-12=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 4, 3, 18 ]
87
[ "43+4=47", "47-18=29", "3*29=87" ]
Current State: 87:[43, 4, 3, 18], Operations: [] Exploring Operation: 43+4=47, Resulting Numbers: [3, 18, 47] Generated Node #2: [3, 18, 47] from Operation: 43+4=47 Current State: 87:[3, 18, 47], Operations: ['43+4=47'] Exploring Operation: 47-18=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 47-18=29 Current State: 87:[3, 29], Operations: ['43+4=47', '47-18=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 61, 2, 8, 96 ]
18
[ "61*2=122", "8+96=104", "122-104=18" ]
Current State: 18:[61, 2, 8, 96], Operations: [] Exploring Operation: 61*2=122, Resulting Numbers: [8, 96, 122] Generated Node #2: [8, 96, 122] from Operation: 61*2=122 Current State: 18:[8, 96, 122], Operations: ['61*2=122'] Exploring Operation: 8+96=104, Resulting Numbers: [122, 104] Generated Node #3: [122, 104] from Operation: 8+96=104 Current State: 18:[122, 104], Operations: ['61*2=122', '8+96=104'] Exploring Operation: 122-104=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 71, 23, 68, 45 ]
65
[ "71-23=48", "68+45=113", "113-48=65" ]
Current State: 65:[71, 23, 68, 45], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [68, 45, 48] Generated Node #2: [68, 45, 48] from Operation: 71-23=48 Current State: 65:[68, 45, 48], Operations: ['71-23=48'] Exploring Operation: 68+45=113, Resulting Numbers: [48, 113] Generated Node #3: [48, 113] from Operation: 68+45=113 Current State: 65:[48, 113], Operations: ['71-23=48', '68+45=113'] Exploring Operation: 113-48=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 24, 12, 2 ]
38
[ "20+24=44", "12/2=6", "44-6=38" ]
Current State: 38:[20, 24, 12, 2], Operations: [] Exploring Operation: 20+24=44, Resulting Numbers: [12, 2, 44] Generated Node #2: [12, 2, 44] from Operation: 20+24=44 Current State: 38:[12, 2, 44], Operations: ['20+24=44'] Exploring Operation: 12/2=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 12/2=6 Current State: 38:[44, 6], Operations: ['20+24=44', '12/2=6'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 70, 20, 88, 56 ]
28
[ "70+20=90", "90-88=2", "56/2=28" ]
Current State: 28:[70, 20, 88, 56], Operations: [] Exploring Operation: 70+20=90, Resulting Numbers: [88, 56, 90] Generated Node #2: [88, 56, 90] from Operation: 70+20=90 Current State: 28:[88, 56, 90], Operations: ['70+20=90'] Exploring Operation: 90-88=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 90-88=2 Current State: 28:[56, 2], Operations: ['70+20=90', '90-88=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 82, 13, 15, 34 ]
76
[ "82+13=95", "34-15=19", "95-19=76" ]
Current State: 76:[82, 13, 15, 34], Operations: [] Exploring Operation: 82+13=95, Resulting Numbers: [15, 34, 95] Generated Node #2: [15, 34, 95] from Operation: 82+13=95 Current State: 76:[15, 34, 95], Operations: ['82+13=95'] Exploring Operation: 34-15=19, Resulting Numbers: [95, 19] Generated Node #3: [95, 19] from Operation: 34-15=19 Current State: 76:[95, 19], Operations: ['82+13=95', '34-15=19'] Exploring Operation: 95-19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 32, 89, 2 ]
83
[ "45+32=77", "89+77=166", "166/2=83" ]
Current State: 83:[45, 32, 89, 2], Operations: [] Exploring Operation: 45+32=77, Resulting Numbers: [89, 2, 77] Generated Node #2: [89, 2, 77] from Operation: 45+32=77 Current State: 83:[89, 2, 77], Operations: ['45+32=77'] Exploring Operation: 89+77=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 89+77=166 Current State: 83:[2, 166], Operations: ['45+32=77', '89+77=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 99, 47, 42, 86 ]
89
[ "99+42=141", "141/47=3", "86+3=89" ]
Current State: 89:[99, 47, 42, 86], Operations: [] Exploring Operation: 99+42=141, Resulting Numbers: [47, 86, 141] Generated Node #2: [47, 86, 141] from Operation: 99+42=141 Current State: 89:[47, 86, 141], Operations: ['99+42=141'] Exploring Operation: 141/47=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 141/47=3 Current State: 89:[86, 3], Operations: ['99+42=141', '141/47=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 37, 3, 96 ]
75
[ "48/3=16", "96-37=59", "16+59=75" ]
Current State: 75:[48, 37, 3, 96], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [37, 96, 16] Generated Node #2: [37, 96, 16] from Operation: 48/3=16 Current State: 75:[37, 96, 16], Operations: ['48/3=16'] Exploring Operation: 96-37=59, Resulting Numbers: [16, 59] Generated Node #3: [16, 59] from Operation: 96-37=59 Current State: 75:[16, 59], Operations: ['48/3=16', '96-37=59'] Exploring Operation: 16+59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 97, 25, 21 ]
95
[ "25+21=46", "46/23=2", "97-2=95" ]
Current State: 95:[23, 97, 25, 21], Operations: [] Exploring Operation: 25+21=46, Resulting Numbers: [23, 97, 46] Generated Node #2: [23, 97, 46] from Operation: 25+21=46 Current State: 95:[23, 97, 46], Operations: ['25+21=46'] Exploring Operation: 46/23=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 46/23=2 Current State: 95:[97, 2], Operations: ['25+21=46', '46/23=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 60, 72, 55, 13 ]
55
[ "72-60=12", "13-12=1", "55*1=55" ]
Current State: 55:[60, 72, 55, 13], Operations: [] Exploring Operation: 72-60=12, Resulting Numbers: [55, 13, 12] Generated Node #2: [55, 13, 12] from Operation: 72-60=12 Current State: 55:[55, 13, 12], Operations: ['72-60=12'] Exploring Operation: 13-12=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 13-12=1 Current State: 55:[55, 1], Operations: ['72-60=12', '13-12=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 39, 30, 27, 44 ]
80
[ "39-30=9", "27+44=71", "9+71=80" ]
Current State: 80:[39, 30, 27, 44], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [27, 44, 9] Generated Node #2: [27, 44, 9] from Operation: 39-30=9 Current State: 80:[27, 44, 9], Operations: ['39-30=9'] Exploring Operation: 27+44=71, Resulting Numbers: [9, 71] Generated Node #3: [9, 71] from Operation: 27+44=71 Current State: 80:[9, 71], Operations: ['39-30=9', '27+44=71'] Exploring Operation: 9+71=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 24, 56, 36 ]
88
[ "24-20=4", "56+36=92", "92-4=88" ]
Current State: 88:[20, 24, 56, 36], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [56, 36, 4] Generated Node #2: [56, 36, 4] from Operation: 24-20=4 Current State: 88:[56, 36, 4], Operations: ['24-20=4'] Exploring Operation: 56+36=92, Resulting Numbers: [4, 92] Generated Node #3: [4, 92] from Operation: 56+36=92 Current State: 88:[4, 92], Operations: ['24-20=4', '56+36=92'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 14, 8, 2, 19 ]
62
[ "8/2=4", "19*4=76", "76-14=62" ]
Current State: 62:[14, 8, 2, 19], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [14, 19, 4] Generated Node #2: [14, 19, 4] from Operation: 8/2=4 Current State: 62:[14, 19, 4], Operations: ['8/2=4'] Exploring Operation: 19*4=76, Resulting Numbers: [14, 76] Generated Node #3: [14, 76] from Operation: 19*4=76 Current State: 62:[14, 76], Operations: ['8/2=4', '19*4=76'] Exploring Operation: 76-14=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 4, 95, 60 ]
100
[ "45+95=140", "4*60=240", "240-140=100" ]
Current State: 100:[45, 4, 95, 60], Operations: [] Exploring Operation: 45+95=140, Resulting Numbers: [4, 60, 140] Generated Node #2: [4, 60, 140] from Operation: 45+95=140 Current State: 100:[4, 60, 140], Operations: ['45+95=140'] Exploring Operation: 4*60=240, Resulting Numbers: [140, 240] Generated Node #3: [140, 240] from Operation: 4*60=240 Current State: 100:[140, 240], Operations: ['45+95=140', '4*60=240'] Exploring Operation: 240-140=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 32, 95, 57, 99 ]
71
[ "99-95=4", "32*4=128", "128-57=71" ]
Current State: 71:[32, 95, 57, 99], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [32, 57, 4] Generated Node #2: [32, 57, 4] from Operation: 99-95=4 Current State: 71:[32, 57, 4], Operations: ['99-95=4'] Exploring Operation: 32*4=128, Resulting Numbers: [57, 128] Generated Node #3: [57, 128] from Operation: 32*4=128 Current State: 71:[57, 128], Operations: ['99-95=4', '32*4=128'] Exploring Operation: 128-57=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 17, 72, 62 ]
24
[ "2*17=34", "72-62=10", "34-10=24" ]
Current State: 24:[2, 17, 72, 62], Operations: [] Exploring Operation: 2*17=34, Resulting Numbers: [72, 62, 34] Generated Node #2: [72, 62, 34] from Operation: 2*17=34 Current State: 24:[72, 62, 34], Operations: ['2*17=34'] Exploring Operation: 72-62=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 72-62=10 Current State: 24:[34, 10], Operations: ['2*17=34', '72-62=10'] Exploring Operation: 34-10=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 23, 19, 94, 73 ]
63
[ "23+19=42", "94-73=21", "42+21=63" ]
Current State: 63:[23, 19, 94, 73], Operations: [] Exploring Operation: 23+19=42, Resulting Numbers: [94, 73, 42] Generated Node #2: [94, 73, 42] from Operation: 23+19=42 Current State: 63:[94, 73, 42], Operations: ['23+19=42'] Exploring Operation: 94-73=21, Resulting Numbers: [42, 21] Generated Node #3: [42, 21] from Operation: 94-73=21 Current State: 63:[42, 21], Operations: ['23+19=42', '94-73=21'] Exploring Operation: 42+21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 59, 89, 56, 15 ]
84
[ "59-56=3", "15/3=5", "89-5=84" ]
Current State: 84:[59, 89, 56, 15], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [89, 15, 3] Generated Node #2: [89, 15, 3] from Operation: 59-56=3 Current State: 84:[89, 15, 3], Operations: ['59-56=3'] Exploring Operation: 15/3=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 15/3=5 Current State: 84:[89, 5], Operations: ['59-56=3', '15/3=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 99, 26, 69 ]
72
[ "7+26=33", "99/33=3", "69+3=72" ]
Current State: 72:[7, 99, 26, 69], Operations: [] Exploring Operation: 7+26=33, Resulting Numbers: [99, 69, 33] Generated Node #2: [99, 69, 33] from Operation: 7+26=33 Current State: 72:[99, 69, 33], Operations: ['7+26=33'] Exploring Operation: 99/33=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 99/33=3 Current State: 72:[69, 3], Operations: ['7+26=33', '99/33=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 66, 44, 20 ]
11
[ "66-42=24", "24-20=4", "44/4=11" ]
Current State: 11:[42, 66, 44, 20], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [44, 20, 24] Generated Node #2: [44, 20, 24] from Operation: 66-42=24 Current State: 11:[44, 20, 24], Operations: ['66-42=24'] Exploring Operation: 24-20=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 24-20=4 Current State: 11:[44, 4], Operations: ['66-42=24', '24-20=4'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 15, 31, 30, 3 ]
91
[ "30/15=2", "31*3=93", "93-2=91" ]
Current State: 91:[15, 31, 30, 3], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [31, 3, 2] Generated Node #2: [31, 3, 2] from Operation: 30/15=2 Current State: 91:[31, 3, 2], Operations: ['30/15=2'] Exploring Operation: 31*3=93, Resulting Numbers: [2, 93] Generated Node #3: [2, 93] from Operation: 31*3=93 Current State: 91:[2, 93], Operations: ['30/15=2', '31*3=93'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 76, 90, 56, 3 ]
67
[ "90-76=14", "56-3=53", "14+53=67" ]
Current State: 67:[76, 90, 56, 3], Operations: [] Exploring Operation: 90-76=14, Resulting Numbers: [56, 3, 14] Generated Node #2: [56, 3, 14] from Operation: 90-76=14 Current State: 67:[56, 3, 14], Operations: ['90-76=14'] Exploring Operation: 56-3=53, Resulting Numbers: [14, 53] Generated Node #3: [14, 53] from Operation: 56-3=53 Current State: 67:[14, 53], Operations: ['90-76=14', '56-3=53'] Exploring Operation: 14+53=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 72, 28, 71, 3 ]
83
[ "72-71=1", "28*3=84", "84-1=83" ]
Current State: 83:[72, 28, 71, 3], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [28, 3, 1] Generated Node #2: [28, 3, 1] from Operation: 72-71=1 Current State: 83:[28, 3, 1], Operations: ['72-71=1'] Exploring Operation: 28*3=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 28*3=84 Current State: 83:[1, 84], Operations: ['72-71=1', '28*3=84'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 96, 81, 71 ]
92
[ "96-36=60", "81+71=152", "152-60=92" ]
Current State: 92:[36, 96, 81, 71], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [81, 71, 60] Generated Node #2: [81, 71, 60] from Operation: 96-36=60 Current State: 92:[81, 71, 60], Operations: ['96-36=60'] Exploring Operation: 81+71=152, Resulting Numbers: [60, 152] Generated Node #3: [60, 152] from Operation: 81+71=152 Current State: 92:[60, 152], Operations: ['96-36=60', '81+71=152'] Exploring Operation: 152-60=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 19, 38, 53 ]
56
[ "38-19=19", "57/19=3", "53+3=56" ]
Current State: 56:[57, 19, 38, 53], Operations: [] Exploring Operation: 38-19=19, Resulting Numbers: [57, 53, 19] Generated Node #2: [57, 53, 19] from Operation: 38-19=19 Current State: 56:[57, 53, 19], Operations: ['38-19=19'] Exploring Operation: 57/19=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 57/19=3 Current State: 56:[53, 3], Operations: ['38-19=19', '57/19=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 24, 69, 26 ]
13
[ "84+24=108", "69+26=95", "108-95=13" ]
Current State: 13:[84, 24, 69, 26], Operations: [] Exploring Operation: 84+24=108, Resulting Numbers: [69, 26, 108] Generated Node #2: [69, 26, 108] from Operation: 84+24=108 Current State: 13:[69, 26, 108], Operations: ['84+24=108'] Exploring Operation: 69+26=95, Resulting Numbers: [108, 95] Generated Node #3: [108, 95] from Operation: 69+26=95 Current State: 13:[108, 95], Operations: ['84+24=108', '69+26=95'] Exploring Operation: 108-95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 71, 71, 5, 67 ]
70
[ "71+71=142", "5+67=72", "142-72=70" ]
Current State: 70:[71, 71, 5, 67], Operations: [] Exploring Operation: 71+71=142, Resulting Numbers: [5, 67, 142] Generated Node #2: [5, 67, 142] from Operation: 71+71=142 Current State: 70:[5, 67, 142], Operations: ['71+71=142'] Exploring Operation: 5+67=72, Resulting Numbers: [142, 72] Generated Node #3: [142, 72] from Operation: 5+67=72 Current State: 70:[142, 72], Operations: ['71+71=142', '5+67=72'] Exploring Operation: 142-72=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 72, 78, 33, 80 ]
37
[ "72+78=150", "33+80=113", "150-113=37" ]
Current State: 37:[72, 78, 33, 80], Operations: [] Exploring Operation: 72+78=150, Resulting Numbers: [33, 80, 150] Generated Node #2: [33, 80, 150] from Operation: 72+78=150 Current State: 37:[33, 80, 150], Operations: ['72+78=150'] Exploring Operation: 33+80=113, Resulting Numbers: [150, 113] Generated Node #3: [150, 113] from Operation: 33+80=113 Current State: 37:[150, 113], Operations: ['72+78=150', '33+80=113'] Exploring Operation: 150-113=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 4, 67, 2 ]
21
[ "40+4=44", "67-2=65", "65-44=21" ]
Current State: 21:[40, 4, 67, 2], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [67, 2, 44] Generated Node #2: [67, 2, 44] from Operation: 40+4=44 Current State: 21:[67, 2, 44], Operations: ['40+4=44'] Exploring Operation: 67-2=65, Resulting Numbers: [44, 65] Generated Node #3: [44, 65] from Operation: 67-2=65 Current State: 21:[44, 65], Operations: ['40+4=44', '67-2=65'] Exploring Operation: 65-44=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 90, 19, 62, 83 ]
75
[ "90+62=152", "152/19=8", "83-8=75" ]
Current State: 75:[90, 19, 62, 83], Operations: [] Exploring Operation: 90+62=152, Resulting Numbers: [19, 83, 152] Generated Node #2: [19, 83, 152] from Operation: 90+62=152 Current State: 75:[19, 83, 152], Operations: ['90+62=152'] Exploring Operation: 152/19=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 152/19=8 Current State: 75:[83, 8], Operations: ['90+62=152', '152/19=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 59, 35, 48 ]
40
[ "59-17=42", "35*48=1680", "1680/42=40" ]
Current State: 40:[17, 59, 35, 48], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [35, 48, 42] Generated Node #2: [35, 48, 42] from Operation: 59-17=42 Current State: 40:[35, 48, 42], Operations: ['59-17=42'] Exploring Operation: 35*48=1680, Resulting Numbers: [42, 1680] Generated Node #3: [42, 1680] from Operation: 35*48=1680 Current State: 40:[42, 1680], Operations: ['59-17=42', '35*48=1680'] Exploring Operation: 1680/42=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 23, 4, 98 ]
73
[ "6+23=29", "4+98=102", "102-29=73" ]
Current State: 73:[6, 23, 4, 98], Operations: [] Exploring Operation: 6+23=29, Resulting Numbers: [4, 98, 29] Generated Node #2: [4, 98, 29] from Operation: 6+23=29 Current State: 73:[4, 98, 29], Operations: ['6+23=29'] Exploring Operation: 4+98=102, Resulting Numbers: [29, 102] Generated Node #3: [29, 102] from Operation: 4+98=102 Current State: 73:[29, 102], Operations: ['6+23=29', '4+98=102'] Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 10, 35, 2 ]
37
[ "10-10=0", "35+2=37", "0+37=37" ]
Current State: 37:[10, 10, 35, 2], Operations: [] Exploring Operation: 10-10=0, Resulting Numbers: [35, 2, 0] Generated Node #2: [35, 2, 0] from Operation: 10-10=0 Current State: 37:[35, 2, 0], Operations: ['10-10=0'] Exploring Operation: 35+2=37, Resulting Numbers: [0, 37] Generated Node #3: [0, 37] from Operation: 35+2=37 Current State: 37:[0, 37], Operations: ['10-10=0', '35+2=37'] Exploring Operation: 0+37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 43, 56, 21 ]
29
[ "56/8=7", "43-21=22", "7+22=29" ]
Current State: 29:[8, 43, 56, 21], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [43, 21, 7] Generated Node #2: [43, 21, 7] from Operation: 56/8=7 Current State: 29:[43, 21, 7], Operations: ['56/8=7'] Exploring Operation: 43-21=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 43-21=22 Current State: 29:[7, 22], Operations: ['56/8=7', '43-21=22'] Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 61, 17, 95, 98 ]
49
[ "95-61=34", "17*98=1666", "1666/34=49" ]
Current State: 49:[61, 17, 95, 98], Operations: [] Exploring Operation: 95-61=34, Resulting Numbers: [17, 98, 34] Generated Node #2: [17, 98, 34] from Operation: 95-61=34 Current State: 49:[17, 98, 34], Operations: ['95-61=34'] Exploring Operation: 17*98=1666, Resulting Numbers: [34, 1666] Generated Node #3: [34, 1666] from Operation: 17*98=1666 Current State: 49:[34, 1666], Operations: ['95-61=34', '17*98=1666'] Exploring Operation: 1666/34=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 52, 9, 83 ]
46
[ "54-52=2", "9+83=92", "92/2=46" ]
Current State: 46:[54, 52, 9, 83], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [9, 83, 2] Generated Node #2: [9, 83, 2] from Operation: 54-52=2 Current State: 46:[9, 83, 2], Operations: ['54-52=2'] Exploring Operation: 9+83=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 9+83=92 Current State: 46:[2, 92], Operations: ['54-52=2', '9+83=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 15, 25, 90, 15 ]
81
[ "15*15=225", "225/25=9", "90-9=81" ]
Current State: 81:[15, 25, 90, 15], Operations: [] Exploring Operation: 15*15=225, Resulting Numbers: [25, 90, 225] Generated Node #2: [25, 90, 225] from Operation: 15*15=225 Current State: 81:[25, 90, 225], Operations: ['15*15=225'] Exploring Operation: 225/25=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 225/25=9 Current State: 81:[90, 9], Operations: ['15*15=225', '225/25=9'] Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 92, 61, 3 ]
70
[ "57+92=149", "61+149=210", "210/3=70" ]
Current State: 70:[57, 92, 61, 3], Operations: [] Exploring Operation: 57+92=149, Resulting Numbers: [61, 3, 149] Generated Node #2: [61, 3, 149] from Operation: 57+92=149 Current State: 70:[61, 3, 149], Operations: ['57+92=149'] Exploring Operation: 61+149=210, Resulting Numbers: [3, 210] Generated Node #3: [3, 210] from Operation: 61+149=210 Current State: 70:[3, 210], Operations: ['57+92=149', '61+149=210'] Exploring Operation: 210/3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 97, 35, 47 ]
43
[ "97+35=132", "132/33=4", "47-4=43" ]
Current State: 43:[33, 97, 35, 47], Operations: [] Exploring Operation: 97+35=132, Resulting Numbers: [33, 47, 132] Generated Node #2: [33, 47, 132] from Operation: 97+35=132 Current State: 43:[33, 47, 132], Operations: ['97+35=132'] Exploring Operation: 132/33=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 132/33=4 Current State: 43:[47, 4], Operations: ['97+35=132', '132/33=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 75, 46, 8, 82 ]
47
[ "75+46=121", "82-8=74", "121-74=47" ]
Current State: 47:[75, 46, 8, 82], Operations: [] Exploring Operation: 75+46=121, Resulting Numbers: [8, 82, 121] Generated Node #2: [8, 82, 121] from Operation: 75+46=121 Current State: 47:[8, 82, 121], Operations: ['75+46=121'] Exploring Operation: 82-8=74, Resulting Numbers: [121, 74] Generated Node #3: [121, 74] from Operation: 82-8=74 Current State: 47:[121, 74], Operations: ['75+46=121', '82-8=74'] Exploring Operation: 121-74=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 12, 6, 50 ]
23
[ "9+12=21", "50-6=44", "44-21=23" ]
Current State: 23:[9, 12, 6, 50], Operations: [] Exploring Operation: 9+12=21, Resulting Numbers: [6, 50, 21] Generated Node #2: [6, 50, 21] from Operation: 9+12=21 Current State: 23:[6, 50, 21], Operations: ['9+12=21'] Exploring Operation: 50-6=44, Resulting Numbers: [21, 44] Generated Node #3: [21, 44] from Operation: 50-6=44 Current State: 23:[21, 44], Operations: ['9+12=21', '50-6=44'] Exploring Operation: 44-21=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 58, 25, 98 ]
20
[ "15*98=1470", "58*25=1450", "1470-1450=20" ]
Current State: 20:[15, 58, 25, 98], Operations: [] Exploring Operation: 15*98=1470, Resulting Numbers: [58, 25, 1470] Generated Node #2: [58, 25, 1470] from Operation: 15*98=1470 Current State: 20:[58, 25, 1470], Operations: ['15*98=1470'] Exploring Operation: 58*25=1450, Resulting Numbers: [1470, 1450] Generated Node #3: [1470, 1450] from Operation: 58*25=1450 Current State: 20:[1470, 1450], Operations: ['15*98=1470', '58*25=1450'] Exploring Operation: 1470-1450=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 94, 2, 49, 14 ]
89
[ "94-14=80", "80/2=40", "49+40=89" ]
Current State: 89:[94, 2, 49, 14], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [2, 49, 80] Generated Node #2: [2, 49, 80] from Operation: 94-14=80 Current State: 89:[2, 49, 80], Operations: ['94-14=80'] Exploring Operation: 80/2=40, Resulting Numbers: [49, 40] Generated Node #3: [49, 40] from Operation: 80/2=40 Current State: 89:[49, 40], Operations: ['94-14=80', '80/2=40'] Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 39, 72, 22 ]
35
[ "72-69=3", "39/3=13", "22+13=35" ]
Current State: 35:[69, 39, 72, 22], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [39, 22, 3] Generated Node #2: [39, 22, 3] from Operation: 72-69=3 Current State: 35:[39, 22, 3], Operations: ['72-69=3'] Exploring Operation: 39/3=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 39/3=13 Current State: 35:[22, 13], Operations: ['72-69=3', '39/3=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 69, 54, 84, 51 ]
90
[ "69+54=123", "84-51=33", "123-33=90" ]
Current State: 90:[69, 54, 84, 51], Operations: [] Exploring Operation: 69+54=123, Resulting Numbers: [84, 51, 123] Generated Node #2: [84, 51, 123] from Operation: 69+54=123 Current State: 90:[84, 51, 123], Operations: ['69+54=123'] Exploring Operation: 84-51=33, Resulting Numbers: [123, 33] Generated Node #3: [123, 33] from Operation: 84-51=33 Current State: 90:[123, 33], Operations: ['69+54=123', '84-51=33'] Exploring Operation: 123-33=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 10, 66, 12 ]
36
[ "90+66=156", "10*12=120", "156-120=36" ]
Current State: 36:[90, 10, 66, 12], Operations: [] Exploring Operation: 90+66=156, Resulting Numbers: [10, 12, 156] Generated Node #2: [10, 12, 156] from Operation: 90+66=156 Current State: 36:[10, 12, 156], Operations: ['90+66=156'] Exploring Operation: 10*12=120, Resulting Numbers: [156, 120] Generated Node #3: [156, 120] from Operation: 10*12=120 Current State: 36:[156, 120], Operations: ['90+66=156', '10*12=120'] Exploring Operation: 156-120=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 67, 34, 72, 50 ]
24
[ "72-67=5", "50/5=10", "34-10=24" ]
Current State: 24:[67, 34, 72, 50], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [34, 50, 5] Generated Node #2: [34, 50, 5] from Operation: 72-67=5 Current State: 24:[34, 50, 5], Operations: ['72-67=5'] Exploring Operation: 50/5=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 50/5=10 Current State: 24:[34, 10], Operations: ['72-67=5', '50/5=10'] Exploring Operation: 34-10=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 71, 5, 12, 10 ]
77
[ "5*12=60", "60/10=6", "71+6=77" ]
Current State: 77:[71, 5, 12, 10], Operations: [] Exploring Operation: 5*12=60, Resulting Numbers: [71, 10, 60] Generated Node #2: [71, 10, 60] from Operation: 5*12=60 Current State: 77:[71, 10, 60], Operations: ['5*12=60'] Exploring Operation: 60/10=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 60/10=6 Current State: 77:[71, 6], Operations: ['5*12=60', '60/10=6'] Exploring Operation: 71+6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 54, 32, 25, 39 ]
86
[ "54-32=22", "25+39=64", "22+64=86" ]
Current State: 86:[54, 32, 25, 39], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [25, 39, 22] Generated Node #2: [25, 39, 22] from Operation: 54-32=22 Current State: 86:[25, 39, 22], Operations: ['54-32=22'] Exploring Operation: 25+39=64, Resulting Numbers: [22, 64] Generated Node #3: [22, 64] from Operation: 25+39=64 Current State: 86:[22, 64], Operations: ['54-32=22', '25+39=64'] Exploring Operation: 22+64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 16, 2, 23 ]
75
[ "45-16=29", "2*23=46", "29+46=75" ]
Current State: 75:[45, 16, 2, 23], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [2, 23, 29] Generated Node #2: [2, 23, 29] from Operation: 45-16=29 Current State: 75:[2, 23, 29], Operations: ['45-16=29'] Exploring Operation: 2*23=46, Resulting Numbers: [29, 46] Generated Node #3: [29, 46] from Operation: 2*23=46 Current State: 75:[29, 46], Operations: ['45-16=29', '2*23=46'] Exploring Operation: 29+46=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 37, 23, 24 ]
23
[ "33+37=70", "23+24=47", "70-47=23" ]
Current State: 23:[33, 37, 23, 24], Operations: [] Exploring Operation: 33+37=70, Resulting Numbers: [23, 24, 70] Generated Node #2: [23, 24, 70] from Operation: 33+37=70 Current State: 23:[23, 24, 70], Operations: ['33+37=70'] Exploring Operation: 23+24=47, Resulting Numbers: [70, 47] Generated Node #3: [70, 47] from Operation: 23+24=47 Current State: 23:[70, 47], Operations: ['33+37=70', '23+24=47'] Exploring Operation: 70-47=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 30, 79, 89, 23 ]
26
[ "89-79=10", "30/10=3", "23+3=26" ]
Current State: 26:[30, 79, 89, 23], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [30, 23, 10] Generated Node #2: [30, 23, 10] from Operation: 89-79=10 Current State: 26:[30, 23, 10], Operations: ['89-79=10'] Exploring Operation: 30/10=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 30/10=3 Current State: 26:[23, 3], Operations: ['89-79=10', '30/10=3'] Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 58, 14, 4, 42 ]
51
[ "58-4=54", "42/14=3", "54-3=51" ]
Current State: 51:[58, 14, 4, 42], Operations: [] Exploring Operation: 58-4=54, Resulting Numbers: [14, 42, 54] Generated Node #2: [14, 42, 54] from Operation: 58-4=54 Current State: 51:[14, 42, 54], Operations: ['58-4=54'] Exploring Operation: 42/14=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 42/14=3 Current State: 51:[54, 3], Operations: ['58-4=54', '42/14=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 60, 99, 2 ]
49
[ "44*2=88", "99-60=39", "88-39=49" ]
Current State: 49:[44, 60, 99, 2], Operations: [] Exploring Operation: 44*2=88, Resulting Numbers: [60, 99, 88] Generated Node #2: [60, 99, 88] from Operation: 44*2=88 Current State: 49:[60, 99, 88], Operations: ['44*2=88'] Exploring Operation: 99-60=39, Resulting Numbers: [88, 39] Generated Node #3: [88, 39] from Operation: 99-60=39 Current State: 49:[88, 39], Operations: ['44*2=88', '99-60=39'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 77, 25, 65 ]
91
[ "77-25=52", "65-52=13", "7*13=91" ]
Current State: 91:[7, 77, 25, 65], Operations: [] Exploring Operation: 77-25=52, Resulting Numbers: [7, 65, 52] Generated Node #2: [7, 65, 52] from Operation: 77-25=52 Current State: 91:[7, 65, 52], Operations: ['77-25=52'] Exploring Operation: 65-52=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 65-52=13 Current State: 91:[7, 13], Operations: ['77-25=52', '65-52=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 45, 88, 61, 18 ]
44
[ "61-45=16", "18-16=2", "88/2=44" ]
Current State: 44:[45, 88, 61, 18], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [88, 18, 16] Generated Node #2: [88, 18, 16] from Operation: 61-45=16 Current State: 44:[88, 18, 16], Operations: ['61-45=16'] Exploring Operation: 18-16=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 18-16=2 Current State: 44:[88, 2], Operations: ['61-45=16', '18-16=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 56, 20, 80, 52 ]
16
[ "56-52=4", "80/20=4", "4*4=16" ]
Current State: 16:[56, 20, 80, 52], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [20, 80, 4] Generated Node #2: [20, 80, 4] from Operation: 56-52=4 Current State: 16:[20, 80, 4], Operations: ['56-52=4'] Exploring Operation: 80/20=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 80/20=4 Current State: 16:[4, 4], Operations: ['56-52=4', '80/20=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 21, 47, 63 ]
35
[ "63/7=9", "47-21=26", "9+26=35" ]
Current State: 35:[7, 21, 47, 63], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [21, 47, 9] Generated Node #2: [21, 47, 9] from Operation: 63/7=9 Current State: 35:[21, 47, 9], Operations: ['63/7=9'] Exploring Operation: 47-21=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 47-21=26 Current State: 35:[9, 26], Operations: ['63/7=9', '47-21=26'] Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 82, 58, 58 ]
74
[ "82-8=74", "58-58=0", "74+0=74" ]
Current State: 74:[8, 82, 58, 58], Operations: [] Exploring Operation: 82-8=74, Resulting Numbers: [58, 58, 74] Generated Node #2: [58, 58, 74] from Operation: 82-8=74 Current State: 74:[58, 58, 74], Operations: ['82-8=74'] Exploring Operation: 58-58=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 58-58=0 Current State: 74:[74, 0], Operations: ['82-8=74', '58-58=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 27, 64, 99, 70 ]
66
[ "64-27=37", "99-70=29", "37+29=66" ]
Current State: 66:[27, 64, 99, 70], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [99, 70, 37] Generated Node #2: [99, 70, 37] from Operation: 64-27=37 Current State: 66:[99, 70, 37], Operations: ['64-27=37'] Exploring Operation: 99-70=29, Resulting Numbers: [37, 29] Generated Node #3: [37, 29] from Operation: 99-70=29 Current State: 66:[37, 29], Operations: ['64-27=37', '99-70=29'] Exploring Operation: 37+29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 14, 39, 65 ]
77
[ "4*39=156", "14+65=79", "156-79=77" ]
Current State: 77:[4, 14, 39, 65], Operations: [] Exploring Operation: 4*39=156, Resulting Numbers: [14, 65, 156] Generated Node #2: [14, 65, 156] from Operation: 4*39=156 Current State: 77:[14, 65, 156], Operations: ['4*39=156'] Exploring Operation: 14+65=79, Resulting Numbers: [156, 79] Generated Node #3: [156, 79] from Operation: 14+65=79 Current State: 77:[156, 79], Operations: ['4*39=156', '14+65=79'] Exploring Operation: 156-79=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 4, 31, 44 ]
70
[ "50+31=81", "44/4=11", "81-11=70" ]
Current State: 70:[50, 4, 31, 44], Operations: [] Exploring Operation: 50+31=81, Resulting Numbers: [4, 44, 81] Generated Node #2: [4, 44, 81] from Operation: 50+31=81 Current State: 70:[4, 44, 81], Operations: ['50+31=81'] Exploring Operation: 44/4=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 44/4=11 Current State: 70:[81, 11], Operations: ['50+31=81', '44/4=11'] Exploring Operation: 81-11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 90, 31, 15 ]
29
[ "90-86=4", "15*4=60", "60-31=29" ]
Current State: 29:[86, 90, 31, 15], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [31, 15, 4] Generated Node #2: [31, 15, 4] from Operation: 90-86=4 Current State: 29:[31, 15, 4], Operations: ['90-86=4'] Exploring Operation: 15*4=60, Resulting Numbers: [31, 60] Generated Node #3: [31, 60] from Operation: 15*4=60 Current State: 29:[31, 60], Operations: ['90-86=4', '15*4=60'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4