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
[ 78, 86, 26, 40 ]
49
[ "78/26=3", "86-40=46", "3+46=49" ]
Current State: 49:[78, 86, 26, 40], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [86, 40, 3] Generated Node #2: [86, 40, 3] from Operation: 78/26=3 Current State: 49:[86, 40, 3], Operations: ['78/26=3'] Exploring Operation: 86-40=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 86-40=46 Current State: 49:[3, 46], Operations: ['78/26=3', '86-40=46'] Exploring Operation: 3+46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 79, 81, 46 ]
42
[ "81-79=2", "8/2=4", "46-4=42" ]
Current State: 42:[8, 79, 81, 46], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [8, 46, 2] Generated Node #2: [8, 46, 2] from Operation: 81-79=2 Current State: 42:[8, 46, 2], Operations: ['81-79=2'] Exploring Operation: 8/2=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 8/2=4 Current State: 42:[46, 4], Operations: ['81-79=2', '8/2=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 30, 53, 83 ]
91
[ "31+30=61", "83-53=30", "61+30=91" ]
Current State: 91:[31, 30, 53, 83], Operations: [] Exploring Operation: 31+30=61, Resulting Numbers: [53, 83, 61] Generated Node #2: [53, 83, 61] from Operation: 31+30=61 Current State: 91:[53, 83, 61], Operations: ['31+30=61'] Exploring Operation: 83-53=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 83-53=30 Current State: 91:[61, 30], Operations: ['31+30=61', '83-53=30'] Exploring Operation: 61+30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 84, 8, 51, 82 ]
45
[ "84-8=76", "82-51=31", "76-31=45" ]
Current State: 45:[84, 8, 51, 82], Operations: [] Exploring Operation: 84-8=76, Resulting Numbers: [51, 82, 76] Generated Node #2: [51, 82, 76] from Operation: 84-8=76 Current State: 45:[51, 82, 76], Operations: ['84-8=76'] Exploring Operation: 82-51=31, Resulting Numbers: [76, 31] Generated Node #3: [76, 31] from Operation: 82-51=31 Current State: 45:[76, 31], Operations: ['84-8=76', '82-51=31'] Exploring Operation: 76-31=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 88, 29, 60, 56 ]
22
[ "88*29=2552", "60+56=116", "2552/116=22" ]
Current State: 22:[88, 29, 60, 56], Operations: [] Exploring Operation: 88*29=2552, Resulting Numbers: [60, 56, 2552] Generated Node #2: [60, 56, 2552] from Operation: 88*29=2552 Current State: 22:[60, 56, 2552], Operations: ['88*29=2552'] Exploring Operation: 60+56=116, Resulting Numbers: [2552, 116] Generated Node #3: [2552, 116] from Operation: 60+56=116 Current State: 22:[2552, 116], Operations: ['88*29=2552', '60+56=116'] Exploring Operation: 2552/116=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 89, 60, 80, 14 ]
66
[ "89-80=9", "14*9=126", "126-60=66" ]
Current State: 66:[89, 60, 80, 14], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [60, 14, 9] Generated Node #2: [60, 14, 9] from Operation: 89-80=9 Current State: 66:[60, 14, 9], Operations: ['89-80=9'] Exploring Operation: 14*9=126, Resulting Numbers: [60, 126] Generated Node #3: [60, 126] from Operation: 14*9=126 Current State: 66:[60, 126], Operations: ['89-80=9', '14*9=126'] Exploring Operation: 126-60=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 23, 74, 4, 69 ]
74
[ "69/23=3", "4-3=1", "74*1=74" ]
Current State: 74:[23, 74, 4, 69], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [74, 4, 3] Generated Node #2: [74, 4, 3] from Operation: 69/23=3 Current State: 74:[74, 4, 3], Operations: ['69/23=3'] Exploring Operation: 4-3=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 4-3=1 Current State: 74:[74, 1], Operations: ['69/23=3', '4-3=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 6, 66, 5 ]
17
[ "13+6=19", "66+19=85", "85/5=17" ]
Current State: 17:[13, 6, 66, 5], Operations: [] Exploring Operation: 13+6=19, Resulting Numbers: [66, 5, 19] Generated Node #2: [66, 5, 19] from Operation: 13+6=19 Current State: 17:[66, 5, 19], Operations: ['13+6=19'] Exploring Operation: 66+19=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 66+19=85 Current State: 17:[5, 85], Operations: ['13+6=19', '66+19=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 4, 7, 24 ]
45
[ "24/4=6", "7*6=42", "3+42=45" ]
Current State: 45:[3, 4, 7, 24], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [3, 7, 6] Generated Node #2: [3, 7, 6] from Operation: 24/4=6 Current State: 45:[3, 7, 6], Operations: ['24/4=6'] Exploring Operation: 7*6=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 7*6=42 Current State: 45:[3, 42], Operations: ['24/4=6', '7*6=42'] Exploring Operation: 3+42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 76, 35, 16 ]
39
[ "76-18=58", "35-16=19", "58-19=39" ]
Current State: 39:[18, 76, 35, 16], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [35, 16, 58] Generated Node #2: [35, 16, 58] from Operation: 76-18=58 Current State: 39:[35, 16, 58], Operations: ['76-18=58'] Exploring Operation: 35-16=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 35-16=19 Current State: 39:[58, 19], Operations: ['76-18=58', '35-16=19'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 8, 99, 53 ]
12
[ "99-56=43", "53+43=96", "96/8=12" ]
Current State: 12:[56, 8, 99, 53], Operations: [] Exploring Operation: 99-56=43, Resulting Numbers: [8, 53, 43] Generated Node #2: [8, 53, 43] from Operation: 99-56=43 Current State: 12:[8, 53, 43], Operations: ['99-56=43'] Exploring Operation: 53+43=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 53+43=96 Current State: 12:[8, 96], Operations: ['99-56=43', '53+43=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 26, 72, 98 ]
80
[ "64+26=90", "72+98=170", "170-90=80" ]
Current State: 80:[64, 26, 72, 98], Operations: [] Exploring Operation: 64+26=90, Resulting Numbers: [72, 98, 90] Generated Node #2: [72, 98, 90] from Operation: 64+26=90 Current State: 80:[72, 98, 90], Operations: ['64+26=90'] Exploring Operation: 72+98=170, Resulting Numbers: [90, 170] Generated Node #3: [90, 170] from Operation: 72+98=170 Current State: 80:[90, 170], Operations: ['64+26=90', '72+98=170'] Exploring Operation: 170-90=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 88, 69, 71 ]
97
[ "71-69=2", "88*2=176", "176-79=97" ]
Current State: 97:[79, 88, 69, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [79, 88, 2] Generated Node #2: [79, 88, 2] from Operation: 71-69=2 Current State: 97:[79, 88, 2], Operations: ['71-69=2'] Exploring Operation: 88*2=176, Resulting Numbers: [79, 176] Generated Node #3: [79, 176] from Operation: 88*2=176 Current State: 97:[79, 176], Operations: ['71-69=2', '88*2=176'] Exploring Operation: 176-79=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 66, 34, 10 ]
25
[ "3+66=69", "34+10=44", "69-44=25" ]
Current State: 25:[3, 66, 34, 10], Operations: [] Exploring Operation: 3+66=69, Resulting Numbers: [34, 10, 69] Generated Node #2: [34, 10, 69] from Operation: 3+66=69 Current State: 25:[34, 10, 69], Operations: ['3+66=69'] Exploring Operation: 34+10=44, Resulting Numbers: [69, 44] Generated Node #3: [69, 44] from Operation: 34+10=44 Current State: 25:[69, 44], Operations: ['3+66=69', '34+10=44'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 88, 52, 6, 53 ]
47
[ "88-52=36", "36/6=6", "53-6=47" ]
Current State: 47:[88, 52, 6, 53], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [6, 53, 36] Generated Node #2: [6, 53, 36] from Operation: 88-52=36 Current State: 47:[6, 53, 36], Operations: ['88-52=36'] Exploring Operation: 36/6=6, Resulting Numbers: [53, 6] Generated Node #3: [53, 6] from Operation: 36/6=6 Current State: 47:[53, 6], Operations: ['88-52=36', '36/6=6'] Exploring Operation: 53-6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 18, 50, 2 ]
44
[ "87-18=69", "50/2=25", "69-25=44" ]
Current State: 44:[87, 18, 50, 2], Operations: [] Exploring Operation: 87-18=69, Resulting Numbers: [50, 2, 69] Generated Node #2: [50, 2, 69] from Operation: 87-18=69 Current State: 44:[50, 2, 69], Operations: ['87-18=69'] Exploring Operation: 50/2=25, Resulting Numbers: [69, 25] Generated Node #3: [69, 25] from Operation: 50/2=25 Current State: 44:[69, 25], Operations: ['87-18=69', '50/2=25'] Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 43, 64, 72 ]
37
[ "72-64=8", "48/8=6", "43-6=37" ]
Current State: 37:[48, 43, 64, 72], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [48, 43, 8] Generated Node #2: [48, 43, 8] from Operation: 72-64=8 Current State: 37:[48, 43, 8], Operations: ['72-64=8'] Exploring Operation: 48/8=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 48/8=6 Current State: 37:[43, 6], Operations: ['72-64=8', '48/8=6'] Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 1, 46, 10 ]
13
[ "3-1=2", "46/2=23", "23-10=13" ]
Current State: 13:[3, 1, 46, 10], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [46, 10, 2] Generated Node #2: [46, 10, 2] from Operation: 3-1=2 Current State: 13:[46, 10, 2], Operations: ['3-1=2'] Exploring Operation: 46/2=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 46/2=23 Current State: 13:[10, 23], Operations: ['3-1=2', '46/2=23'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 15, 4, 68 ]
77
[ "4*15=60", "68/4=17", "60+17=77" ]
Current State: 77:[4, 15, 4, 68], Operations: [] Exploring Operation: 4*15=60, Resulting Numbers: [68, 60] Generated Node #2: [68, 60] from Operation: 4*15=60 Current State: 77:[68, 60], Operations: ['4*15=60'] Exploring Operation: 68/4=17, Resulting Numbers: [60, 17] Generated Node #3: [60, 17] from Operation: 68/4=17 Current State: 77:[60, 17], Operations: ['4*15=60', '68/4=17'] Exploring Operation: 60+17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 61, 63, 7 ]
41
[ "90-61=29", "63+7=70", "70-29=41" ]
Current State: 41:[90, 61, 63, 7], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [63, 7, 29] Generated Node #2: [63, 7, 29] from Operation: 90-61=29 Current State: 41:[63, 7, 29], Operations: ['90-61=29'] Exploring Operation: 63+7=70, Resulting Numbers: [29, 70] Generated Node #3: [29, 70] from Operation: 63+7=70 Current State: 41:[29, 70], Operations: ['90-61=29', '63+7=70'] Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 39, 25, 51, 35 ]
30
[ "39-25=14", "51-35=16", "14+16=30" ]
Current State: 30:[39, 25, 51, 35], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [51, 35, 14] Generated Node #2: [51, 35, 14] from Operation: 39-25=14 Current State: 30:[51, 35, 14], Operations: ['39-25=14'] Exploring Operation: 51-35=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 51-35=16 Current State: 30:[14, 16], Operations: ['39-25=14', '51-35=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 73, 87, 6 ]
34
[ "73-26=47", "87-6=81", "81-47=34" ]
Current State: 34:[26, 73, 87, 6], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [87, 6, 47] Generated Node #2: [87, 6, 47] from Operation: 73-26=47 Current State: 34:[87, 6, 47], Operations: ['73-26=47'] Exploring Operation: 87-6=81, Resulting Numbers: [47, 81] Generated Node #3: [47, 81] from Operation: 87-6=81 Current State: 34:[47, 81], Operations: ['73-26=47', '87-6=81'] Exploring Operation: 81-47=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 37, 13, 68 ]
25
[ "43+37=80", "68-13=55", "80-55=25" ]
Current State: 25:[43, 37, 13, 68], Operations: [] Exploring Operation: 43+37=80, Resulting Numbers: [13, 68, 80] Generated Node #2: [13, 68, 80] from Operation: 43+37=80 Current State: 25:[13, 68, 80], Operations: ['43+37=80'] Exploring Operation: 68-13=55, Resulting Numbers: [80, 55] Generated Node #3: [80, 55] from Operation: 68-13=55 Current State: 25:[80, 55], Operations: ['43+37=80', '68-13=55'] Exploring Operation: 80-55=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 14, 35, 43, 39 ]
12
[ "35+43=78", "78/39=2", "14-2=12" ]
Current State: 12:[14, 35, 43, 39], Operations: [] Exploring Operation: 35+43=78, Resulting Numbers: [14, 39, 78] Generated Node #2: [14, 39, 78] from Operation: 35+43=78 Current State: 12:[14, 39, 78], Operations: ['35+43=78'] Exploring Operation: 78/39=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 78/39=2 Current State: 12:[14, 2], Operations: ['35+43=78', '78/39=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 43, 75, 40 ]
90
[ "98-43=55", "75-40=35", "55+35=90" ]
Current State: 90:[98, 43, 75, 40], Operations: [] Exploring Operation: 98-43=55, Resulting Numbers: [75, 40, 55] Generated Node #2: [75, 40, 55] from Operation: 98-43=55 Current State: 90:[75, 40, 55], Operations: ['98-43=55'] Exploring Operation: 75-40=35, Resulting Numbers: [55, 35] Generated Node #3: [55, 35] from Operation: 75-40=35 Current State: 90:[55, 35], Operations: ['98-43=55', '75-40=35'] Exploring Operation: 55+35=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 55, 59, 14, 72 ]
62
[ "59-55=4", "72-14=58", "4+58=62" ]
Current State: 62:[55, 59, 14, 72], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [14, 72, 4] Generated Node #2: [14, 72, 4] from Operation: 59-55=4 Current State: 62:[14, 72, 4], Operations: ['59-55=4'] Exploring Operation: 72-14=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 72-14=58 Current State: 62:[4, 58], Operations: ['59-55=4', '72-14=58'] Exploring Operation: 4+58=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 19, 47, 86, 62 ]
45
[ "62-19=43", "86/43=2", "47-2=45" ]
Current State: 45:[19, 47, 86, 62], Operations: [] Exploring Operation: 62-19=43, Resulting Numbers: [47, 86, 43] Generated Node #2: [47, 86, 43] from Operation: 62-19=43 Current State: 45:[47, 86, 43], Operations: ['62-19=43'] Exploring Operation: 86/43=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 86/43=2 Current State: 45:[47, 2], Operations: ['62-19=43', '86/43=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 65, 25, 23, 34 ]
82
[ "25-23=2", "34/2=17", "65+17=82" ]
Current State: 82:[65, 25, 23, 34], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [65, 34, 2] Generated Node #2: [65, 34, 2] from Operation: 25-23=2 Current State: 82:[65, 34, 2], Operations: ['25-23=2'] Exploring Operation: 34/2=17, Resulting Numbers: [65, 17] Generated Node #3: [65, 17] from Operation: 34/2=17 Current State: 82:[65, 17], Operations: ['25-23=2', '34/2=17'] Exploring Operation: 65+17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 57, 16, 33 ]
99
[ "11*57=627", "16*33=528", "627-528=99" ]
Current State: 99:[11, 57, 16, 33], Operations: [] Exploring Operation: 11*57=627, Resulting Numbers: [16, 33, 627] Generated Node #2: [16, 33, 627] from Operation: 11*57=627 Current State: 99:[16, 33, 627], Operations: ['11*57=627'] Exploring Operation: 16*33=528, Resulting Numbers: [627, 528] Generated Node #3: [627, 528] from Operation: 16*33=528 Current State: 99:[627, 528], Operations: ['11*57=627', '16*33=528'] Exploring Operation: 627-528=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 51, 62, 72 ]
34
[ "68*72=4896", "4896/51=96", "96-62=34" ]
Current State: 34:[68, 51, 62, 72], Operations: [] Exploring Operation: 68*72=4896, Resulting Numbers: [51, 62, 4896] Generated Node #2: [51, 62, 4896] from Operation: 68*72=4896 Current State: 34:[51, 62, 4896], Operations: ['68*72=4896'] Exploring Operation: 4896/51=96, Resulting Numbers: [62, 96] Generated Node #3: [62, 96] from Operation: 4896/51=96 Current State: 34:[62, 96], Operations: ['68*72=4896', '4896/51=96'] Exploring Operation: 96-62=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 24, 32, 64 ]
40
[ "24-16=8", "64-32=32", "8+32=40" ]
Current State: 40:[16, 24, 32, 64], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [32, 64, 8] Generated Node #2: [32, 64, 8] from Operation: 24-16=8 Current State: 40:[32, 64, 8], Operations: ['24-16=8'] Exploring Operation: 64-32=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 64-32=32 Current State: 40:[8, 32], Operations: ['24-16=8', '64-32=32'] Exploring Operation: 8+32=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 27, 67, 20, 49 ]
65
[ "27+67=94", "49-20=29", "94-29=65" ]
Current State: 65:[27, 67, 20, 49], Operations: [] Exploring Operation: 27+67=94, Resulting Numbers: [20, 49, 94] Generated Node #2: [20, 49, 94] from Operation: 27+67=94 Current State: 65:[20, 49, 94], Operations: ['27+67=94'] Exploring Operation: 49-20=29, Resulting Numbers: [94, 29] Generated Node #3: [94, 29] from Operation: 49-20=29 Current State: 65:[94, 29], Operations: ['27+67=94', '49-20=29'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 70, 19, 93 ]
28
[ "2*70=140", "19+93=112", "140-112=28" ]
Current State: 28:[2, 70, 19, 93], Operations: [] Exploring Operation: 2*70=140, Resulting Numbers: [19, 93, 140] Generated Node #2: [19, 93, 140] from Operation: 2*70=140 Current State: 28:[19, 93, 140], Operations: ['2*70=140'] Exploring Operation: 19+93=112, Resulting Numbers: [140, 112] Generated Node #3: [140, 112] from Operation: 19+93=112 Current State: 28:[140, 112], Operations: ['2*70=140', '19+93=112'] Exploring Operation: 140-112=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 68, 85, 15, 85 ]
52
[ "68-15=53", "85/85=1", "53-1=52" ]
Current State: 52:[68, 85, 15, 85], Operations: [] Exploring Operation: 68-15=53, Resulting Numbers: [85, 85, 53] Generated Node #2: [85, 85, 53] from Operation: 68-15=53 Current State: 52:[85, 85, 53], Operations: ['68-15=53'] Exploring Operation: 85/85=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 85/85=1 Current State: 52:[53, 1], Operations: ['68-15=53', '85/85=1'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 19, 51, 13, 64 ]
62
[ "51-13=38", "38/19=2", "64-2=62" ]
Current State: 62:[19, 51, 13, 64], Operations: [] Exploring Operation: 51-13=38, Resulting Numbers: [19, 64, 38] Generated Node #2: [19, 64, 38] from Operation: 51-13=38 Current State: 62:[19, 64, 38], Operations: ['51-13=38'] Exploring Operation: 38/19=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 38/19=2 Current State: 62:[64, 2], Operations: ['51-13=38', '38/19=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 68, 66, 78, 9 ]
85
[ "68-66=2", "78+9=87", "87-2=85" ]
Current State: 85:[68, 66, 78, 9], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [78, 9, 2] Generated Node #2: [78, 9, 2] from Operation: 68-66=2 Current State: 85:[78, 9, 2], Operations: ['68-66=2'] Exploring Operation: 78+9=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 78+9=87 Current State: 85:[2, 87], Operations: ['68-66=2', '78+9=87'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 56, 83, 46, 85 ]
43
[ "83+85=168", "168/56=3", "46-3=43" ]
Current State: 43:[56, 83, 46, 85], Operations: [] Exploring Operation: 83+85=168, Resulting Numbers: [56, 46, 168] Generated Node #2: [56, 46, 168] from Operation: 83+85=168 Current State: 43:[56, 46, 168], Operations: ['83+85=168'] Exploring Operation: 168/56=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 168/56=3 Current State: 43:[46, 3], Operations: ['83+85=168', '168/56=3'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 7, 46, 25 ]
91
[ "46-25=21", "7*21=147", "147-56=91" ]
Current State: 91:[56, 7, 46, 25], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [56, 7, 21] Generated Node #2: [56, 7, 21] from Operation: 46-25=21 Current State: 91:[56, 7, 21], Operations: ['46-25=21'] Exploring Operation: 7*21=147, Resulting Numbers: [56, 147] Generated Node #3: [56, 147] from Operation: 7*21=147 Current State: 91:[56, 147], Operations: ['46-25=21', '7*21=147'] Exploring Operation: 147-56=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 20, 36, 55, 65 ]
30
[ "55+65=120", "120/20=6", "36-6=30" ]
Current State: 30:[20, 36, 55, 65], Operations: [] Exploring Operation: 55+65=120, Resulting Numbers: [20, 36, 120] Generated Node #2: [20, 36, 120] from Operation: 55+65=120 Current State: 30:[20, 36, 120], Operations: ['55+65=120'] Exploring Operation: 120/20=6, Resulting Numbers: [36, 6] Generated Node #3: [36, 6] from Operation: 120/20=6 Current State: 30:[36, 6], Operations: ['55+65=120', '120/20=6'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 68, 18, 70, 68 ]
70
[ "68-68=0", "18*0=0", "70+0=70" ]
Current State: 70:[68, 18, 70, 68], Operations: [] Exploring Operation: 68-68=0, Resulting Numbers: [18, 70, 0] Generated Node #2: [18, 70, 0] from Operation: 68-68=0 Current State: 70:[18, 70, 0], Operations: ['68-68=0'] Exploring Operation: 18*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 18*0=0 Current State: 70:[70, 0], Operations: ['68-68=0', '18*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 22, 86, 83 ]
91
[ "86-22=64", "64/8=8", "83+8=91" ]
Current State: 91:[8, 22, 86, 83], Operations: [] Exploring Operation: 86-22=64, Resulting Numbers: [8, 83, 64] Generated Node #2: [8, 83, 64] from Operation: 86-22=64 Current State: 91:[8, 83, 64], Operations: ['86-22=64'] Exploring Operation: 64/8=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 64/8=8 Current State: 91:[83, 8], Operations: ['86-22=64', '64/8=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 79, 52, 15, 64 ]
22
[ "79-52=27", "64-15=49", "49-27=22" ]
Current State: 22:[79, 52, 15, 64], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [15, 64, 27] Generated Node #2: [15, 64, 27] from Operation: 79-52=27 Current State: 22:[15, 64, 27], Operations: ['79-52=27'] Exploring Operation: 64-15=49, Resulting Numbers: [27, 49] Generated Node #3: [27, 49] from Operation: 64-15=49 Current State: 22:[27, 49], Operations: ['79-52=27', '64-15=49'] Exploring Operation: 49-27=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 58, 16, 88 ]
15
[ "16-14=2", "88-58=30", "30/2=15" ]
Current State: 15:[14, 58, 16, 88], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [58, 88, 2] Generated Node #2: [58, 88, 2] from Operation: 16-14=2 Current State: 15:[58, 88, 2], Operations: ['16-14=2'] Exploring Operation: 88-58=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 88-58=30 Current State: 15:[2, 30], Operations: ['16-14=2', '88-58=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 38, 99, 27, 31 ]
65
[ "99-38=61", "31-27=4", "61+4=65" ]
Current State: 65:[38, 99, 27, 31], Operations: [] Exploring Operation: 99-38=61, Resulting Numbers: [27, 31, 61] Generated Node #2: [27, 31, 61] from Operation: 99-38=61 Current State: 65:[27, 31, 61], Operations: ['99-38=61'] Exploring Operation: 31-27=4, Resulting Numbers: [61, 4] Generated Node #3: [61, 4] from Operation: 31-27=4 Current State: 65:[61, 4], Operations: ['99-38=61', '31-27=4'] Exploring Operation: 61+4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 47, 9, 58, 87 ]
67
[ "47-9=38", "87-58=29", "38+29=67" ]
Current State: 67:[47, 9, 58, 87], Operations: [] Exploring Operation: 47-9=38, Resulting Numbers: [58, 87, 38] Generated Node #2: [58, 87, 38] from Operation: 47-9=38 Current State: 67:[58, 87, 38], Operations: ['47-9=38'] Exploring Operation: 87-58=29, Resulting Numbers: [38, 29] Generated Node #3: [38, 29] from Operation: 87-58=29 Current State: 67:[38, 29], Operations: ['47-9=38', '87-58=29'] Exploring Operation: 38+29=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 60, 11, 20 ]
86
[ "60-54=6", "11*6=66", "20+66=86" ]
Current State: 86:[54, 60, 11, 20], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [11, 20, 6] Generated Node #2: [11, 20, 6] from Operation: 60-54=6 Current State: 86:[11, 20, 6], Operations: ['60-54=6'] Exploring Operation: 11*6=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 11*6=66 Current State: 86:[20, 66], Operations: ['60-54=6', '11*6=66'] Exploring Operation: 20+66=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 15, 18, 10 ]
19
[ "15-13=2", "18/2=9", "10+9=19" ]
Current State: 19:[13, 15, 18, 10], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [18, 10, 2] Generated Node #2: [18, 10, 2] from Operation: 15-13=2 Current State: 19:[18, 10, 2], Operations: ['15-13=2'] Exploring Operation: 18/2=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 18/2=9 Current State: 19:[10, 9], Operations: ['15-13=2', '18/2=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 50, 16, 92, 2 ]
51
[ "50/2=25", "92-16=76", "76-25=51" ]
Current State: 51:[50, 16, 92, 2], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [16, 92, 25] Generated Node #2: [16, 92, 25] from Operation: 50/2=25 Current State: 51:[16, 92, 25], Operations: ['50/2=25'] Exploring Operation: 92-16=76, Resulting Numbers: [25, 76] Generated Node #3: [25, 76] from Operation: 92-16=76 Current State: 51:[25, 76], Operations: ['50/2=25', '92-16=76'] Exploring Operation: 76-25=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 26, 97, 33 ]
24
[ "97-33=64", "64/32=2", "26-2=24" ]
Current State: 24:[32, 26, 97, 33], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [32, 26, 64] Generated Node #2: [32, 26, 64] from Operation: 97-33=64 Current State: 24:[32, 26, 64], Operations: ['97-33=64'] Exploring Operation: 64/32=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 64/32=2 Current State: 24:[26, 2], Operations: ['97-33=64', '64/32=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 19, 29, 96 ]
11
[ "36-29=7", "96-19=77", "77/7=11" ]
Current State: 11:[36, 19, 29, 96], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [19, 96, 7] Generated Node #2: [19, 96, 7] from Operation: 36-29=7 Current State: 11:[19, 96, 7], Operations: ['36-29=7'] Exploring Operation: 96-19=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 96-19=77 Current State: 11:[7, 77], Operations: ['36-29=7', '96-19=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 47, 6, 54, 99 ]
58
[ "54/6=9", "99/9=11", "47+11=58" ]
Current State: 58:[47, 6, 54, 99], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [47, 99, 9] Generated Node #2: [47, 99, 9] from Operation: 54/6=9 Current State: 58:[47, 99, 9], Operations: ['54/6=9'] Exploring Operation: 99/9=11, Resulting Numbers: [47, 11] Generated Node #3: [47, 11] from Operation: 99/9=11 Current State: 58:[47, 11], Operations: ['54/6=9', '99/9=11'] Exploring Operation: 47+11=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 44, 33, 8, 99 ]
15
[ "8*99=792", "792/44=18", "33-18=15" ]
Current State: 15:[44, 33, 8, 99], Operations: [] Exploring Operation: 8*99=792, Resulting Numbers: [44, 33, 792] Generated Node #2: [44, 33, 792] from Operation: 8*99=792 Current State: 15:[44, 33, 792], Operations: ['8*99=792'] Exploring Operation: 792/44=18, Resulting Numbers: [33, 18] Generated Node #3: [33, 18] from Operation: 792/44=18 Current State: 15:[33, 18], Operations: ['8*99=792', '792/44=18'] Exploring Operation: 33-18=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 39, 4, 40 ]
20
[ "44-39=5", "4*5=20", "40-20=20" ]
Current State: 20:[44, 39, 4, 40], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [4, 40, 5] Generated Node #2: [4, 40, 5] from Operation: 44-39=5 Current State: 20:[4, 40, 5], Operations: ['44-39=5'] Exploring Operation: 4*5=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 4*5=20 Current State: 20:[40, 20], Operations: ['44-39=5', '4*5=20'] Exploring Operation: 40-20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 20, 46, 75, 86 ]
55
[ "20+46=66", "86-75=11", "66-11=55" ]
Current State: 55:[20, 46, 75, 86], Operations: [] Exploring Operation: 20+46=66, Resulting Numbers: [75, 86, 66] Generated Node #2: [75, 86, 66] from Operation: 20+46=66 Current State: 55:[75, 86, 66], Operations: ['20+46=66'] Exploring Operation: 86-75=11, Resulting Numbers: [66, 11] Generated Node #3: [66, 11] from Operation: 86-75=11 Current State: 55:[66, 11], Operations: ['20+46=66', '86-75=11'] Exploring Operation: 66-11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 62, 99, 42, 93 ]
14
[ "99-62=37", "93-42=51", "51-37=14" ]
Current State: 14:[62, 99, 42, 93], Operations: [] Exploring Operation: 99-62=37, Resulting Numbers: [42, 93, 37] Generated Node #2: [42, 93, 37] from Operation: 99-62=37 Current State: 14:[42, 93, 37], Operations: ['99-62=37'] Exploring Operation: 93-42=51, Resulting Numbers: [37, 51] Generated Node #3: [37, 51] from Operation: 93-42=51 Current State: 14:[37, 51], Operations: ['99-62=37', '93-42=51'] Exploring Operation: 51-37=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 83, 21, 99, 19 ]
56
[ "83-21=62", "99+19=118", "118-62=56" ]
Current State: 56:[83, 21, 99, 19], Operations: [] Exploring Operation: 83-21=62, Resulting Numbers: [99, 19, 62] Generated Node #2: [99, 19, 62] from Operation: 83-21=62 Current State: 56:[99, 19, 62], Operations: ['83-21=62'] Exploring Operation: 99+19=118, Resulting Numbers: [62, 118] Generated Node #3: [62, 118] from Operation: 99+19=118 Current State: 56:[62, 118], Operations: ['83-21=62', '99+19=118'] Exploring Operation: 118-62=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 74, 83, 18 ]
22
[ "83-74=9", "36/9=4", "18+4=22" ]
Current State: 22:[36, 74, 83, 18], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [36, 18, 9] Generated Node #2: [36, 18, 9] from Operation: 83-74=9 Current State: 22:[36, 18, 9], Operations: ['83-74=9'] Exploring Operation: 36/9=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 36/9=4 Current State: 22:[18, 4], Operations: ['83-74=9', '36/9=4'] Exploring Operation: 18+4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 56, 15, 68 ]
65
[ "61-56=5", "15/5=3", "68-3=65" ]
Current State: 65:[61, 56, 15, 68], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [15, 68, 5] Generated Node #2: [15, 68, 5] from Operation: 61-56=5 Current State: 65:[15, 68, 5], Operations: ['61-56=5'] Exploring Operation: 15/5=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 15/5=3 Current State: 65:[68, 3], Operations: ['61-56=5', '15/5=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 69, 67, 16, 52 ]
100
[ "69+67=136", "52-16=36", "136-36=100" ]
Current State: 100:[69, 67, 16, 52], Operations: [] Exploring Operation: 69+67=136, Resulting Numbers: [16, 52, 136] Generated Node #2: [16, 52, 136] from Operation: 69+67=136 Current State: 100:[16, 52, 136], Operations: ['69+67=136'] Exploring Operation: 52-16=36, Resulting Numbers: [136, 36] Generated Node #3: [136, 36] from Operation: 52-16=36 Current State: 100:[136, 36], Operations: ['69+67=136', '52-16=36'] Exploring Operation: 136-36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 26, 3, 78, 50 ]
59
[ "78/26=3", "3*3=9", "50+9=59" ]
Current State: 59:[26, 3, 78, 50], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [3, 50, 3] Generated Node #2: [3, 50, 3] from Operation: 78/26=3 Current State: 59:[3, 50, 3], Operations: ['78/26=3'] Exploring Operation: 3*3=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 3*3=9 Current State: 59:[50, 9], Operations: ['78/26=3', '3*3=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 2, 80, 74 ]
80
[ "71+2=73", "74-73=1", "80*1=80" ]
Current State: 80:[71, 2, 80, 74], Operations: [] Exploring Operation: 71+2=73, Resulting Numbers: [80, 74, 73] Generated Node #2: [80, 74, 73] from Operation: 71+2=73 Current State: 80:[80, 74, 73], Operations: ['71+2=73'] Exploring Operation: 74-73=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 74-73=1 Current State: 80:[80, 1], Operations: ['71+2=73', '74-73=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 83, 66, 67 ]
75
[ "83-8=75", "67-66=1", "75*1=75" ]
Current State: 75:[8, 83, 66, 67], Operations: [] Exploring Operation: 83-8=75, Resulting Numbers: [66, 67, 75] Generated Node #2: [66, 67, 75] from Operation: 83-8=75 Current State: 75:[66, 67, 75], Operations: ['83-8=75'] Exploring Operation: 67-66=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 67-66=1 Current State: 75:[75, 1], Operations: ['83-8=75', '67-66=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 36, 27, 24, 68 ]
33
[ "68-24=44", "27*44=1188", "1188/36=33" ]
Current State: 33:[36, 27, 24, 68], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [36, 27, 44] Generated Node #2: [36, 27, 44] from Operation: 68-24=44 Current State: 33:[36, 27, 44], Operations: ['68-24=44'] Exploring Operation: 27*44=1188, Resulting Numbers: [36, 1188] Generated Node #3: [36, 1188] from Operation: 27*44=1188 Current State: 33:[36, 1188], Operations: ['68-24=44', '27*44=1188'] Exploring Operation: 1188/36=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 70, 75, 30, 70 ]
42
[ "70*30=2100", "2100/75=28", "70-28=42" ]
Current State: 42:[70, 75, 30, 70], Operations: [] Exploring Operation: 70*30=2100, Resulting Numbers: [75, 2100] Generated Node #2: [75, 2100] from Operation: 70*30=2100 Current State: 42:[75, 2100], Operations: ['70*30=2100'] Exploring Operation: 2100/75=28, Resulting Numbers: [28] 28,42 equal: Goal Reached Exploring Operation: 70-28=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 54, 6, 93, 9 ]
94
[ "54/6=9", "9/9=1", "93+1=94" ]
Current State: 94:[54, 6, 93, 9], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [93, 9, 9] Generated Node #2: [93, 9, 9] from Operation: 54/6=9 Current State: 94:[93, 9, 9], Operations: ['54/6=9'] Exploring Operation: 9/9=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 9/9=1 Current State: 94:[93, 1], Operations: ['54/6=9', '9/9=1'] Exploring Operation: 93+1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 27, 3, 13 ]
72
[ "6+27=33", "3*13=39", "33+39=72" ]
Current State: 72:[6, 27, 3, 13], Operations: [] Exploring Operation: 6+27=33, Resulting Numbers: [3, 13, 33] Generated Node #2: [3, 13, 33] from Operation: 6+27=33 Current State: 72:[3, 13, 33], Operations: ['6+27=33'] Exploring Operation: 3*13=39, Resulting Numbers: [33, 39] Generated Node #3: [33, 39] from Operation: 3*13=39 Current State: 72:[33, 39], Operations: ['6+27=33', '3*13=39'] Exploring Operation: 33+39=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 96, 70, 94 ]
95
[ "72-70=2", "96+94=190", "190/2=95" ]
Current State: 95:[72, 96, 70, 94], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [96, 94, 2] Generated Node #2: [96, 94, 2] from Operation: 72-70=2 Current State: 95:[96, 94, 2], Operations: ['72-70=2'] Exploring Operation: 96+94=190, Resulting Numbers: [2, 190] Generated Node #3: [2, 190] from Operation: 96+94=190 Current State: 95:[2, 190], Operations: ['72-70=2', '96+94=190'] Exploring Operation: 190/2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 4, 49, 17 ]
71
[ "13+17=30", "4*30=120", "120-49=71" ]
Current State: 71:[13, 4, 49, 17], Operations: [] Exploring Operation: 13+17=30, Resulting Numbers: [4, 49, 30] Generated Node #2: [4, 49, 30] from Operation: 13+17=30 Current State: 71:[4, 49, 30], Operations: ['13+17=30'] Exploring Operation: 4*30=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 4*30=120 Current State: 71:[49, 120], Operations: ['13+17=30', '4*30=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 57, 45, 16 ]
70
[ "42+57=99", "45-16=29", "99-29=70" ]
Current State: 70:[42, 57, 45, 16], Operations: [] Exploring Operation: 42+57=99, Resulting Numbers: [45, 16, 99] Generated Node #2: [45, 16, 99] from Operation: 42+57=99 Current State: 70:[45, 16, 99], Operations: ['42+57=99'] Exploring Operation: 45-16=29, Resulting Numbers: [99, 29] Generated Node #3: [99, 29] from Operation: 45-16=29 Current State: 70:[99, 29], Operations: ['42+57=99', '45-16=29'] Exploring Operation: 99-29=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 71, 52, 56 ]
89
[ "56-52=4", "40*4=160", "160-71=89" ]
Current State: 89:[40, 71, 52, 56], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [40, 71, 4] Generated Node #2: [40, 71, 4] from Operation: 56-52=4 Current State: 89:[40, 71, 4], Operations: ['56-52=4'] Exploring Operation: 40*4=160, Resulting Numbers: [71, 160] Generated Node #3: [71, 160] from Operation: 40*4=160 Current State: 89:[71, 160], Operations: ['56-52=4', '40*4=160'] Exploring Operation: 160-71=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 91, 15, 69 ]
75
[ "91+69=160", "160/32=5", "15*5=75" ]
Current State: 75:[32, 91, 15, 69], Operations: [] Exploring Operation: 91+69=160, Resulting Numbers: [32, 15, 160] Generated Node #2: [32, 15, 160] from Operation: 91+69=160 Current State: 75:[32, 15, 160], Operations: ['91+69=160'] Exploring Operation: 160/32=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 160/32=5 Current State: 75:[15, 5], Operations: ['91+69=160', '160/32=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 78, 74, 47, 24 ]
67
[ "78-74=4", "47+24=71", "71-4=67" ]
Current State: 67:[78, 74, 47, 24], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [47, 24, 4] Generated Node #2: [47, 24, 4] from Operation: 78-74=4 Current State: 67:[47, 24, 4], Operations: ['78-74=4'] Exploring Operation: 47+24=71, Resulting Numbers: [4, 71] Generated Node #3: [4, 71] from Operation: 47+24=71 Current State: 67:[4, 71], Operations: ['78-74=4', '47+24=71'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 26, 45, 35, 40 ]
35
[ "35-26=9", "45/9=5", "40-5=35" ]
Current State: 35:[26, 45, 35, 40], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [45, 40, 9] Generated Node #2: [45, 40, 9] from Operation: 35-26=9 Current State: 35:[45, 40, 9], Operations: ['35-26=9'] Exploring Operation: 45/9=5, Resulting Numbers: [40, 5] Generated Node #3: [40, 5] from Operation: 45/9=5 Current State: 35:[40, 5], Operations: ['35-26=9', '45/9=5'] Exploring Operation: 40-5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 4, 1, 88 ]
31
[ "53+4=57", "1*88=88", "88-57=31" ]
Current State: 31:[53, 4, 1, 88], Operations: [] Exploring Operation: 53+4=57, Resulting Numbers: [1, 88, 57] Generated Node #2: [1, 88, 57] from Operation: 53+4=57 Current State: 31:[1, 88, 57], Operations: ['53+4=57'] Exploring Operation: 1*88=88, Resulting Numbers: [57, 88] Generated Node #3: [57, 88] from Operation: 1*88=88 Current State: 31:[57, 88], Operations: ['53+4=57', '1*88=88'] Exploring Operation: 88-57=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 95, 8, 97, 5 ]
18
[ "97-95=2", "5*2=10", "8+10=18" ]
Current State: 18:[95, 8, 97, 5], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [8, 5, 2] Generated Node #2: [8, 5, 2] from Operation: 97-95=2 Current State: 18:[8, 5, 2], Operations: ['97-95=2'] Exploring Operation: 5*2=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 5*2=10 Current State: 18:[8, 10], Operations: ['97-95=2', '5*2=10'] Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 66, 74, 23, 71 ]
92
[ "66+74=140", "71-23=48", "140-48=92" ]
Current State: 92:[66, 74, 23, 71], Operations: [] Exploring Operation: 66+74=140, Resulting Numbers: [23, 71, 140] Generated Node #2: [23, 71, 140] from Operation: 66+74=140 Current State: 92:[23, 71, 140], Operations: ['66+74=140'] Exploring Operation: 71-23=48, Resulting Numbers: [140, 48] Generated Node #3: [140, 48] from Operation: 71-23=48 Current State: 92:[140, 48], Operations: ['66+74=140', '71-23=48'] Exploring Operation: 140-48=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 91, 88, 2 ]
65
[ "91-49=42", "88+42=130", "130/2=65" ]
Current State: 65:[49, 91, 88, 2], Operations: [] Exploring Operation: 91-49=42, Resulting Numbers: [88, 2, 42] Generated Node #2: [88, 2, 42] from Operation: 91-49=42 Current State: 65:[88, 2, 42], Operations: ['91-49=42'] Exploring Operation: 88+42=130, Resulting Numbers: [2, 130] Generated Node #3: [2, 130] from Operation: 88+42=130 Current State: 65:[2, 130], Operations: ['91-49=42', '88+42=130'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 65, 77, 51, 65 ]
77
[ "65-65=0", "51*0=0", "77+0=77" ]
Current State: 77:[65, 77, 51, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [77, 51, 0] Generated Node #2: [77, 51, 0] from Operation: 65-65=0 Current State: 77:[77, 51, 0], Operations: ['65-65=0'] Exploring Operation: 51*0=0, Resulting Numbers: [77, 0] Generated Node #3: [77, 0] from Operation: 51*0=0 Current State: 77:[77, 0], Operations: ['65-65=0', '51*0=0'] Exploring Operation: 77+0=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 68, 25, 28, 94 ]
50
[ "68+28=96", "96-94=2", "25*2=50" ]
Current State: 50:[68, 25, 28, 94], Operations: [] Exploring Operation: 68+28=96, Resulting Numbers: [25, 94, 96] Generated Node #2: [25, 94, 96] from Operation: 68+28=96 Current State: 50:[25, 94, 96], Operations: ['68+28=96'] Exploring Operation: 96-94=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 96-94=2 Current State: 50:[25, 2], Operations: ['68+28=96', '96-94=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 1, 37, 3 ]
49
[ "83*1=83", "37-3=34", "83-34=49" ]
Current State: 49:[83, 1, 37, 3], Operations: [] Exploring Operation: 83*1=83, Resulting Numbers: [37, 3, 83] Generated Node #2: [37, 3, 83] from Operation: 83*1=83 Current State: 49:[37, 3, 83], Operations: ['83*1=83'] Exploring Operation: 37-3=34, Resulting Numbers: [83, 34] Generated Node #3: [83, 34] from Operation: 37-3=34 Current State: 49:[83, 34], Operations: ['83*1=83', '37-3=34'] Exploring Operation: 83-34=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 11, 1, 74 ]
80
[ "11-6=5", "1+74=75", "5+75=80" ]
Current State: 80:[6, 11, 1, 74], Operations: [] Exploring Operation: 11-6=5, Resulting Numbers: [1, 74, 5] Generated Node #2: [1, 74, 5] from Operation: 11-6=5 Current State: 80:[1, 74, 5], Operations: ['11-6=5'] Exploring Operation: 1+74=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 1+74=75 Current State: 80:[5, 75], Operations: ['11-6=5', '1+74=75'] Exploring Operation: 5+75=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 32, 9, 79 ]
59
[ "43-32=11", "79-9=70", "70-11=59" ]
Current State: 59:[43, 32, 9, 79], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [9, 79, 11] Generated Node #2: [9, 79, 11] from Operation: 43-32=11 Current State: 59:[9, 79, 11], Operations: ['43-32=11'] Exploring Operation: 79-9=70, Resulting Numbers: [11, 70] Generated Node #3: [11, 70] from Operation: 79-9=70 Current State: 59:[11, 70], Operations: ['43-32=11', '79-9=70'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 49, 86, 12 ]
17
[ "32+49=81", "86+12=98", "98-81=17" ]
Current State: 17:[32, 49, 86, 12], Operations: [] Exploring Operation: 32+49=81, Resulting Numbers: [86, 12, 81] Generated Node #2: [86, 12, 81] from Operation: 32+49=81 Current State: 17:[86, 12, 81], Operations: ['32+49=81'] Exploring Operation: 86+12=98, Resulting Numbers: [81, 98] Generated Node #3: [81, 98] from Operation: 86+12=98 Current State: 17:[81, 98], Operations: ['32+49=81', '86+12=98'] Exploring Operation: 98-81=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 5, 24, 2 ]
100
[ "67-5=62", "2*62=124", "124-24=100" ]
Current State: 100:[67, 5, 24, 2], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [24, 2, 62] Generated Node #2: [24, 2, 62] from Operation: 67-5=62 Current State: 100:[24, 2, 62], Operations: ['67-5=62'] Exploring Operation: 2*62=124, Resulting Numbers: [24, 124] Generated Node #3: [24, 124] from Operation: 2*62=124 Current State: 100:[24, 124], Operations: ['67-5=62', '2*62=124'] Exploring Operation: 124-24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 10, 69, 92, 13 ]
26
[ "10+69=79", "92+13=105", "105-79=26" ]
Current State: 26:[10, 69, 92, 13], Operations: [] Exploring Operation: 10+69=79, Resulting Numbers: [92, 13, 79] Generated Node #2: [92, 13, 79] from Operation: 10+69=79 Current State: 26:[92, 13, 79], Operations: ['10+69=79'] Exploring Operation: 92+13=105, Resulting Numbers: [79, 105] Generated Node #3: [79, 105] from Operation: 92+13=105 Current State: 26:[79, 105], Operations: ['10+69=79', '92+13=105'] Exploring Operation: 105-79=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 52, 56, 80, 5 ]
81
[ "56-52=4", "80+5=85", "85-4=81" ]
Current State: 81:[52, 56, 80, 5], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [80, 5, 4] Generated Node #2: [80, 5, 4] from Operation: 56-52=4 Current State: 81:[80, 5, 4], Operations: ['56-52=4'] Exploring Operation: 80+5=85, Resulting Numbers: [4, 85] Generated Node #3: [4, 85] from Operation: 80+5=85 Current State: 81:[4, 85], Operations: ['56-52=4', '80+5=85'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 10, 70, 11, 40 ]
10
[ "70/10=7", "11-7=4", "40/4=10" ]
Current State: 10:[10, 70, 11, 40], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [11, 40, 7] Generated Node #2: [11, 40, 7] from Operation: 70/10=7 Current State: 10:[11, 40, 7], Operations: ['70/10=7'] Exploring Operation: 11-7=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 11-7=4 Current State: 10:[40, 4], Operations: ['70/10=7', '11-7=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 45, 56, 99 ]
28
[ "27*56=1512", "99-45=54", "1512/54=28" ]
Current State: 28:[27, 45, 56, 99], Operations: [] Exploring Operation: 27*56=1512, Resulting Numbers: [45, 99, 1512] Generated Node #2: [45, 99, 1512] from Operation: 27*56=1512 Current State: 28:[45, 99, 1512], Operations: ['27*56=1512'] Exploring Operation: 99-45=54, Resulting Numbers: [1512, 54] Generated Node #3: [1512, 54] from Operation: 99-45=54 Current State: 28:[1512, 54], Operations: ['27*56=1512', '99-45=54'] Exploring Operation: 1512/54=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 4, 61, 78 ]
85
[ "72-4=68", "78-61=17", "68+17=85" ]
Current State: 85:[72, 4, 61, 78], Operations: [] Exploring Operation: 72-4=68, Resulting Numbers: [61, 78, 68] Generated Node #2: [61, 78, 68] from Operation: 72-4=68 Current State: 85:[61, 78, 68], Operations: ['72-4=68'] Exploring Operation: 78-61=17, Resulting Numbers: [68, 17] Generated Node #3: [68, 17] from Operation: 78-61=17 Current State: 85:[68, 17], Operations: ['72-4=68', '78-61=17'] Exploring Operation: 68+17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 23, 87, 49, 92 ]
31
[ "23+87=110", "49+92=141", "141-110=31" ]
Current State: 31:[23, 87, 49, 92], Operations: [] Exploring Operation: 23+87=110, Resulting Numbers: [49, 92, 110] Generated Node #2: [49, 92, 110] from Operation: 23+87=110 Current State: 31:[49, 92, 110], Operations: ['23+87=110'] Exploring Operation: 49+92=141, Resulting Numbers: [110, 141] Generated Node #3: [110, 141] from Operation: 49+92=141 Current State: 31:[110, 141], Operations: ['23+87=110', '49+92=141'] Exploring Operation: 141-110=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 31, 2, 83 ]
48
[ "83-31=52", "52/2=26", "22+26=48" ]
Current State: 48:[22, 31, 2, 83], Operations: [] Exploring Operation: 83-31=52, Resulting Numbers: [22, 2, 52] Generated Node #2: [22, 2, 52] from Operation: 83-31=52 Current State: 48:[22, 2, 52], Operations: ['83-31=52'] Exploring Operation: 52/2=26, Resulting Numbers: [22, 26] Generated Node #3: [22, 26] from Operation: 52/2=26 Current State: 48:[22, 26], Operations: ['83-31=52', '52/2=26'] Exploring Operation: 22+26=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 52, 50, 12, 86 ]
92
[ "52-50=2", "12/2=6", "86+6=92" ]
Current State: 92:[52, 50, 12, 86], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [12, 86, 2] Generated Node #2: [12, 86, 2] from Operation: 52-50=2 Current State: 92:[12, 86, 2], Operations: ['52-50=2'] Exploring Operation: 12/2=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 12/2=6 Current State: 92:[86, 6], Operations: ['52-50=2', '12/2=6'] Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 64, 48, 25, 69 ]
77
[ "69-64=5", "25*5=125", "125-48=77" ]
Current State: 77:[64, 48, 25, 69], Operations: [] Exploring Operation: 69-64=5, Resulting Numbers: [48, 25, 5] Generated Node #2: [48, 25, 5] from Operation: 69-64=5 Current State: 77:[48, 25, 5], Operations: ['69-64=5'] Exploring Operation: 25*5=125, Resulting Numbers: [48, 125] Generated Node #3: [48, 125] from Operation: 25*5=125 Current State: 77:[48, 125], Operations: ['69-64=5', '25*5=125'] Exploring Operation: 125-48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 47, 38, 31, 23 ]
93
[ "47+38=85", "31-23=8", "85+8=93" ]
Current State: 93:[47, 38, 31, 23], Operations: [] Exploring Operation: 47+38=85, Resulting Numbers: [31, 23, 85] Generated Node #2: [31, 23, 85] from Operation: 47+38=85 Current State: 93:[31, 23, 85], Operations: ['47+38=85'] Exploring Operation: 31-23=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 31-23=8 Current State: 93:[85, 8], Operations: ['47+38=85', '31-23=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 42, 70, 79, 2 ]
72
[ "79-42=37", "70/2=35", "37+35=72" ]
Current State: 72:[42, 70, 79, 2], Operations: [] Exploring Operation: 79-42=37, Resulting Numbers: [70, 2, 37] Generated Node #2: [70, 2, 37] from Operation: 79-42=37 Current State: 72:[70, 2, 37], Operations: ['79-42=37'] Exploring Operation: 70/2=35, Resulting Numbers: [37, 35] Generated Node #3: [37, 35] from Operation: 70/2=35 Current State: 72:[37, 35], Operations: ['79-42=37', '70/2=35'] Exploring Operation: 37+35=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 99, 22, 21 ]
81
[ "99-18=81", "22-21=1", "81*1=81" ]
Current State: 81:[18, 99, 22, 21], Operations: [] Exploring Operation: 99-18=81, Resulting Numbers: [22, 21, 81] Generated Node #2: [22, 21, 81] from Operation: 99-18=81 Current State: 81:[22, 21, 81], Operations: ['99-18=81'] Exploring Operation: 22-21=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 22-21=1 Current State: 81:[81, 1], Operations: ['99-18=81', '22-21=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 93, 14, 78 ]
60
[ "31+93=124", "78-14=64", "124-64=60" ]
Current State: 60:[31, 93, 14, 78], Operations: [] Exploring Operation: 31+93=124, Resulting Numbers: [14, 78, 124] Generated Node #2: [14, 78, 124] from Operation: 31+93=124 Current State: 60:[14, 78, 124], Operations: ['31+93=124'] Exploring Operation: 78-14=64, Resulting Numbers: [124, 64] Generated Node #3: [124, 64] from Operation: 78-14=64 Current State: 60:[124, 64], Operations: ['31+93=124', '78-14=64'] Exploring Operation: 124-64=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 11, 13, 74 ]
82
[ "13-11=2", "74*2=148", "148-66=82" ]
Current State: 82:[66, 11, 13, 74], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [66, 74, 2] Generated Node #2: [66, 74, 2] from Operation: 13-11=2 Current State: 82:[66, 74, 2], Operations: ['13-11=2'] Exploring Operation: 74*2=148, Resulting Numbers: [66, 148] Generated Node #3: [66, 148] from Operation: 74*2=148 Current State: 82:[66, 148], Operations: ['13-11=2', '74*2=148'] Exploring Operation: 148-66=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 54, 5, 58, 27 ]
71
[ "58+27=85", "85/5=17", "54+17=71" ]
Current State: 71:[54, 5, 58, 27], Operations: [] Exploring Operation: 58+27=85, Resulting Numbers: [54, 5, 85] Generated Node #2: [54, 5, 85] from Operation: 58+27=85 Current State: 71:[54, 5, 85], Operations: ['58+27=85'] Exploring Operation: 85/5=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 85/5=17 Current State: 71:[54, 17], Operations: ['58+27=85', '85/5=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 62, 94, 64 ]
63
[ "33+62=95", "94+64=158", "158-95=63" ]
Current State: 63:[33, 62, 94, 64], Operations: [] Exploring Operation: 33+62=95, Resulting Numbers: [94, 64, 95] Generated Node #2: [94, 64, 95] from Operation: 33+62=95 Current State: 63:[94, 64, 95], Operations: ['33+62=95'] Exploring Operation: 94+64=158, Resulting Numbers: [95, 158] Generated Node #3: [95, 158] from Operation: 94+64=158 Current State: 63:[95, 158], Operations: ['33+62=95', '94+64=158'] Exploring Operation: 158-95=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4