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
[ 52, 49, 69, 3 ]
69
[ "52-49=3", "69+3=72", "72-3=69" ]
Current State: 69:[52, 49, 69, 3], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [69, 3, 3] Generated Node #2: [69, 3, 3] from Operation: 52-49=3 Current State: 69:[69, 3, 3], Operations: ['52-49=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,69 equal: Goal Reached Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 71, 73, 46 ]
14
[ "73-71=2", "46*2=92", "92-78=14" ]
Current State: 14:[78, 71, 73, 46], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [78, 46, 2] Generated Node #2: [78, 46, 2] from Operation: 73-71=2 Current State: 14:[78, 46, 2], Operations: ['73-71=2'] Exploring Operation: 46*2=92, Resulting Numbers: [78, 92] Generated Node #3: [78, 92] from Operation: 46*2=92 Current State: 14:[78, 92], Operations: ['73-71=2', '46*2=92'] Exploring Operation: 92-78=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 14, 94, 92 ]
22
[ "6+14=20", "94-92=2", "20+2=22" ]
Current State: 22:[6, 14, 94, 92], Operations: [] Exploring Operation: 6+14=20, Resulting Numbers: [94, 92, 20] Generated Node #2: [94, 92, 20] from Operation: 6+14=20 Current State: 22:[94, 92, 20], Operations: ['6+14=20'] Exploring Operation: 94-92=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 94-92=2 Current State: 22:[20, 2], Operations: ['6+14=20', '94-92=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 6, 77, 89 ]
54
[ "89-77=12", "27*12=324", "324/6=54" ]
Current State: 54:[27, 6, 77, 89], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [27, 6, 12] Generated Node #2: [27, 6, 12] from Operation: 89-77=12 Current State: 54:[27, 6, 12], Operations: ['89-77=12'] Exploring Operation: 27*12=324, Resulting Numbers: [6, 324] Generated Node #3: [6, 324] from Operation: 27*12=324 Current State: 54:[6, 324], Operations: ['89-77=12', '27*12=324'] Exploring Operation: 324/6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 15, 15, 3 ]
23
[ "15-10=5", "15+3=18", "5+18=23" ]
Current State: 23:[10, 15, 15, 3], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [3, 5] Generated Node #2: [3, 5] from Operation: 15-10=5 Current State: 23:[3, 5], Operations: ['15-10=5'] Exploring Operation: 15+3=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 15+3=18 Current State: 23:[5, 18], Operations: ['15-10=5', '15+3=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 65, 60, 80, 12 ]
48
[ "80-65=15", "60*12=720", "720/15=48" ]
Current State: 48:[65, 60, 80, 12], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [60, 12, 15] Generated Node #2: [60, 12, 15] from Operation: 80-65=15 Current State: 48:[60, 12, 15], Operations: ['80-65=15'] Exploring Operation: 60*12=720, Resulting Numbers: [15, 720] Generated Node #3: [15, 720] from Operation: 60*12=720 Current State: 48:[15, 720], Operations: ['80-65=15', '60*12=720'] Exploring Operation: 720/15=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 19, 35, 33 ]
92
[ "5+19=24", "35+33=68", "24+68=92" ]
Current State: 92:[5, 19, 35, 33], Operations: [] Exploring Operation: 5+19=24, Resulting Numbers: [35, 33, 24] Generated Node #2: [35, 33, 24] from Operation: 5+19=24 Current State: 92:[35, 33, 24], Operations: ['5+19=24'] Exploring Operation: 35+33=68, Resulting Numbers: [24, 68] Generated Node #3: [24, 68] from Operation: 35+33=68 Current State: 92:[24, 68], Operations: ['5+19=24', '35+33=68'] Exploring Operation: 24+68=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 13, 43, 40 ]
89
[ "13-7=6", "43+40=83", "6+83=89" ]
Current State: 89:[7, 13, 43, 40], Operations: [] Exploring Operation: 13-7=6, Resulting Numbers: [43, 40, 6] Generated Node #2: [43, 40, 6] from Operation: 13-7=6 Current State: 89:[43, 40, 6], Operations: ['13-7=6'] Exploring Operation: 43+40=83, Resulting Numbers: [6, 83] Generated Node #3: [6, 83] from Operation: 43+40=83 Current State: 89:[6, 83], Operations: ['13-7=6', '43+40=83'] Exploring Operation: 6+83=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 39, 56, 57 ]
40
[ "1+39=40", "57-56=1", "40*1=40" ]
Current State: 40:[1, 39, 56, 57], Operations: [] Exploring Operation: 1+39=40, Resulting Numbers: [56, 57, 40] Generated Node #2: [56, 57, 40] from Operation: 1+39=40 Current State: 40:[56, 57, 40], Operations: ['1+39=40'] Exploring Operation: 57-56=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 57-56=1 Current State: 40:[40, 1], Operations: ['1+39=40', '57-56=1'] Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 86, 37, 30 ]
96
[ "37-34=3", "30/3=10", "86+10=96" ]
Current State: 96:[34, 86, 37, 30], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [86, 30, 3] Generated Node #2: [86, 30, 3] from Operation: 37-34=3 Current State: 96:[86, 30, 3], Operations: ['37-34=3'] Exploring Operation: 30/3=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 30/3=10 Current State: 96:[86, 10], Operations: ['37-34=3', '30/3=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 61, 37, 31 ]
58
[ "3+61=64", "37-31=6", "64-6=58" ]
Current State: 58:[3, 61, 37, 31], Operations: [] Exploring Operation: 3+61=64, Resulting Numbers: [37, 31, 64] Generated Node #2: [37, 31, 64] from Operation: 3+61=64 Current State: 58:[37, 31, 64], Operations: ['3+61=64'] Exploring Operation: 37-31=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 37-31=6 Current State: 58:[64, 6], Operations: ['3+61=64', '37-31=6'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 59, 5, 32, 95 ]
63
[ "59+5=64", "32+95=127", "127-64=63" ]
Current State: 63:[59, 5, 32, 95], Operations: [] Exploring Operation: 59+5=64, Resulting Numbers: [32, 95, 64] Generated Node #2: [32, 95, 64] from Operation: 59+5=64 Current State: 63:[32, 95, 64], Operations: ['59+5=64'] Exploring Operation: 32+95=127, Resulting Numbers: [64, 127] Generated Node #3: [64, 127] from Operation: 32+95=127 Current State: 63:[64, 127], Operations: ['59+5=64', '32+95=127'] Exploring Operation: 127-64=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 86, 28, 2, 8 ]
21
[ "86-28=58", "58/2=29", "29-8=21" ]
Current State: 21:[86, 28, 2, 8], Operations: [] Exploring Operation: 86-28=58, Resulting Numbers: [2, 8, 58] Generated Node #2: [2, 8, 58] from Operation: 86-28=58 Current State: 21:[2, 8, 58], Operations: ['86-28=58'] Exploring Operation: 58/2=29, Resulting Numbers: [8, 29] Generated Node #3: [8, 29] from Operation: 58/2=29 Current State: 21:[8, 29], Operations: ['86-28=58', '58/2=29'] Exploring Operation: 29-8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 59, 77, 14, 62 ]
94
[ "77-59=18", "14+62=76", "18+76=94" ]
Current State: 94:[59, 77, 14, 62], Operations: [] Exploring Operation: 77-59=18, Resulting Numbers: [14, 62, 18] Generated Node #2: [14, 62, 18] from Operation: 77-59=18 Current State: 94:[14, 62, 18], Operations: ['77-59=18'] Exploring Operation: 14+62=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 14+62=76 Current State: 94:[18, 76], Operations: ['77-59=18', '14+62=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 44, 61, 6 ]
61
[ "51-44=7", "7-6=1", "61*1=61" ]
Current State: 61:[51, 44, 61, 6], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [61, 6, 7] Generated Node #2: [61, 6, 7] from Operation: 51-44=7 Current State: 61:[61, 6, 7], Operations: ['51-44=7'] Exploring Operation: 7-6=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 7-6=1 Current State: 61:[61, 1], Operations: ['51-44=7', '7-6=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 23, 4, 18 ]
30
[ "18-4=14", "98/14=7", "23+7=30" ]
Current State: 30:[98, 23, 4, 18], Operations: [] Exploring Operation: 18-4=14, Resulting Numbers: [98, 23, 14] Generated Node #2: [98, 23, 14] from Operation: 18-4=14 Current State: 30:[98, 23, 14], Operations: ['18-4=14'] Exploring Operation: 98/14=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 98/14=7 Current State: 30:[23, 7], Operations: ['18-4=14', '98/14=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 95, 93, 86, 9 ]
75
[ "95-93=2", "86-9=77", "77-2=75" ]
Current State: 75:[95, 93, 86, 9], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [86, 9, 2] Generated Node #2: [86, 9, 2] from Operation: 95-93=2 Current State: 75:[86, 9, 2], Operations: ['95-93=2'] Exploring Operation: 86-9=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 86-9=77 Current State: 75:[2, 77], Operations: ['95-93=2', '86-9=77'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 78, 12, 80 ]
63
[ "80-78=2", "12/2=6", "57+6=63" ]
Current State: 63:[57, 78, 12, 80], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [57, 12, 2] Generated Node #2: [57, 12, 2] from Operation: 80-78=2 Current State: 63:[57, 12, 2], Operations: ['80-78=2'] Exploring Operation: 12/2=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 12/2=6 Current State: 63:[57, 6], Operations: ['80-78=2', '12/2=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 40, 16, 64, 51 ]
43
[ "40+16=56", "64-51=13", "56-13=43" ]
Current State: 43:[40, 16, 64, 51], Operations: [] Exploring Operation: 40+16=56, Resulting Numbers: [64, 51, 56] Generated Node #2: [64, 51, 56] from Operation: 40+16=56 Current State: 43:[64, 51, 56], Operations: ['40+16=56'] Exploring Operation: 64-51=13, Resulting Numbers: [56, 13] Generated Node #3: [56, 13] from Operation: 64-51=13 Current State: 43:[56, 13], Operations: ['40+16=56', '64-51=13'] Exploring Operation: 56-13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 43, 75, 12 ]
49
[ "75-3=72", "72/12=6", "43+6=49" ]
Current State: 49:[3, 43, 75, 12], Operations: [] Exploring Operation: 75-3=72, Resulting Numbers: [43, 12, 72] Generated Node #2: [43, 12, 72] from Operation: 75-3=72 Current State: 49:[43, 12, 72], Operations: ['75-3=72'] Exploring Operation: 72/12=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 72/12=6 Current State: 49:[43, 6], Operations: ['75-3=72', '72/12=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 89, 27, 61 ]
32
[ "89+27=116", "116/4=29", "61-29=32" ]
Current State: 32:[4, 89, 27, 61], Operations: [] Exploring Operation: 89+27=116, Resulting Numbers: [4, 61, 116] Generated Node #2: [4, 61, 116] from Operation: 89+27=116 Current State: 32:[4, 61, 116], Operations: ['89+27=116'] Exploring Operation: 116/4=29, Resulting Numbers: [61, 29] Generated Node #3: [61, 29] from Operation: 116/4=29 Current State: 32:[61, 29], Operations: ['89+27=116', '116/4=29'] Exploring Operation: 61-29=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 90, 74, 11 ]
82
[ "77+90=167", "74+11=85", "167-85=82" ]
Current State: 82:[77, 90, 74, 11], Operations: [] Exploring Operation: 77+90=167, Resulting Numbers: [74, 11, 167] Generated Node #2: [74, 11, 167] from Operation: 77+90=167 Current State: 82:[74, 11, 167], Operations: ['77+90=167'] Exploring Operation: 74+11=85, Resulting Numbers: [167, 85] Generated Node #3: [167, 85] from Operation: 74+11=85 Current State: 82:[167, 85], Operations: ['77+90=167', '74+11=85'] Exploring Operation: 167-85=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 35, 69, 72 ]
65
[ "72-69=3", "10*3=30", "35+30=65" ]
Current State: 65:[10, 35, 69, 72], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [10, 35, 3] Generated Node #2: [10, 35, 3] from Operation: 72-69=3 Current State: 65:[10, 35, 3], Operations: ['72-69=3'] Exploring Operation: 10*3=30, Resulting Numbers: [35, 30] Generated Node #3: [35, 30] from Operation: 10*3=30 Current State: 65:[35, 30], Operations: ['72-69=3', '10*3=30'] Exploring Operation: 35+30=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 85, 84, 95 ]
80
[ "6+85=91", "95-84=11", "91-11=80" ]
Current State: 80:[6, 85, 84, 95], Operations: [] Exploring Operation: 6+85=91, Resulting Numbers: [84, 95, 91] Generated Node #2: [84, 95, 91] from Operation: 6+85=91 Current State: 80:[84, 95, 91], Operations: ['6+85=91'] Exploring Operation: 95-84=11, Resulting Numbers: [91, 11] Generated Node #3: [91, 11] from Operation: 95-84=11 Current State: 80:[91, 11], Operations: ['6+85=91', '95-84=11'] Exploring Operation: 91-11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 32, 59, 94 ]
42
[ "45+32=77", "94-59=35", "77-35=42" ]
Current State: 42:[45, 32, 59, 94], Operations: [] Exploring Operation: 45+32=77, Resulting Numbers: [59, 94, 77] Generated Node #2: [59, 94, 77] from Operation: 45+32=77 Current State: 42:[59, 94, 77], Operations: ['45+32=77'] Exploring Operation: 94-59=35, Resulting Numbers: [77, 35] Generated Node #3: [77, 35] from Operation: 94-59=35 Current State: 42:[77, 35], Operations: ['45+32=77', '94-59=35'] Exploring Operation: 77-35=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 83, 85, 60, 94 ]
14
[ "83+85=168", "60+94=154", "168-154=14" ]
Current State: 14:[83, 85, 60, 94], Operations: [] Exploring Operation: 83+85=168, Resulting Numbers: [60, 94, 168] Generated Node #2: [60, 94, 168] from Operation: 83+85=168 Current State: 14:[60, 94, 168], Operations: ['83+85=168'] Exploring Operation: 60+94=154, Resulting Numbers: [168, 154] Generated Node #3: [168, 154] from Operation: 60+94=154 Current State: 14:[168, 154], Operations: ['83+85=168', '60+94=154'] Exploring Operation: 168-154=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 41, 76, 32 ]
55
[ "58+41=99", "76-32=44", "99-44=55" ]
Current State: 55:[58, 41, 76, 32], Operations: [] Exploring Operation: 58+41=99, Resulting Numbers: [76, 32, 99] Generated Node #2: [76, 32, 99] from Operation: 58+41=99 Current State: 55:[76, 32, 99], Operations: ['58+41=99'] Exploring Operation: 76-32=44, Resulting Numbers: [99, 44] Generated Node #3: [99, 44] from Operation: 76-32=44 Current State: 55:[99, 44], Operations: ['58+41=99', '76-32=44'] Exploring Operation: 99-44=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 65, 86, 5 ]
10
[ "6+65=71", "86-5=81", "81-71=10" ]
Current State: 10:[6, 65, 86, 5], Operations: [] Exploring Operation: 6+65=71, Resulting Numbers: [86, 5, 71] Generated Node #2: [86, 5, 71] from Operation: 6+65=71 Current State: 10:[86, 5, 71], Operations: ['6+65=71'] Exploring Operation: 86-5=81, Resulting Numbers: [71, 81] Generated Node #3: [71, 81] from Operation: 86-5=81 Current State: 10:[71, 81], Operations: ['6+65=71', '86-5=81'] Exploring Operation: 81-71=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 25, 9, 61, 12 ]
83
[ "25+9=34", "61-12=49", "34+49=83" ]
Current State: 83:[25, 9, 61, 12], Operations: [] Exploring Operation: 25+9=34, Resulting Numbers: [61, 12, 34] Generated Node #2: [61, 12, 34] from Operation: 25+9=34 Current State: 83:[61, 12, 34], Operations: ['25+9=34'] Exploring Operation: 61-12=49, Resulting Numbers: [34, 49] Generated Node #3: [34, 49] from Operation: 61-12=49 Current State: 83:[34, 49], Operations: ['25+9=34', '61-12=49'] Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 40, 46, 4 ]
80
[ "90+40=130", "46+4=50", "130-50=80" ]
Current State: 80:[90, 40, 46, 4], Operations: [] Exploring Operation: 90+40=130, Resulting Numbers: [46, 4, 130] Generated Node #2: [46, 4, 130] from Operation: 90+40=130 Current State: 80:[46, 4, 130], Operations: ['90+40=130'] Exploring Operation: 46+4=50, Resulting Numbers: [130, 50] Generated Node #3: [130, 50] from Operation: 46+4=50 Current State: 80:[130, 50], Operations: ['90+40=130', '46+4=50'] Exploring Operation: 130-50=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 48, 76, 60 ]
72
[ "76-36=40", "48*60=2880", "2880/40=72" ]
Current State: 72:[36, 48, 76, 60], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [48, 60, 40] Generated Node #2: [48, 60, 40] from Operation: 76-36=40 Current State: 72:[48, 60, 40], Operations: ['76-36=40'] Exploring Operation: 48*60=2880, Resulting Numbers: [40, 2880] Generated Node #3: [40, 2880] from Operation: 48*60=2880 Current State: 72:[40, 2880], Operations: ['76-36=40', '48*60=2880'] Exploring Operation: 2880/40=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 20, 22, 15 ]
26
[ "20-15=5", "20/5=4", "22+4=26" ]
Current State: 26:[20, 20, 22, 15], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [22, 5] Generated Node #2: [22, 5] from Operation: 20-15=5 Current State: 26:[22, 5], Operations: ['20-15=5'] Exploring Operation: 20/5=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 20/5=4 Current State: 26:[22, 4], Operations: ['20-15=5', '20/5=4'] Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 32, 86, 21, 1 ]
75
[ "86-32=54", "21*1=21", "54+21=75" ]
Current State: 75:[32, 86, 21, 1], Operations: [] Exploring Operation: 86-32=54, Resulting Numbers: [21, 1, 54] Generated Node #2: [21, 1, 54] from Operation: 86-32=54 Current State: 75:[21, 1, 54], Operations: ['86-32=54'] Exploring Operation: 21*1=21, Resulting Numbers: [54, 21] Generated Node #3: [54, 21] from Operation: 21*1=21 Current State: 75:[54, 21], Operations: ['86-32=54', '21*1=21'] Exploring Operation: 54+21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 45, 26, 15 ]
99
[ "13+45=58", "26+15=41", "58+41=99" ]
Current State: 99:[13, 45, 26, 15], Operations: [] Exploring Operation: 13+45=58, Resulting Numbers: [26, 15, 58] Generated Node #2: [26, 15, 58] from Operation: 13+45=58 Current State: 99:[26, 15, 58], Operations: ['13+45=58'] Exploring Operation: 26+15=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 26+15=41 Current State: 99:[58, 41], Operations: ['13+45=58', '26+15=41'] Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 19, 73, 4 ]
69
[ "80-73=7", "19*4=76", "76-7=69" ]
Current State: 69:[80, 19, 73, 4], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [19, 4, 7] Generated Node #2: [19, 4, 7] from Operation: 80-73=7 Current State: 69:[19, 4, 7], Operations: ['80-73=7'] Exploring Operation: 19*4=76, Resulting Numbers: [7, 76] Generated Node #3: [7, 76] from Operation: 19*4=76 Current State: 69:[7, 76], Operations: ['80-73=7', '19*4=76'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 43, 44, 89 ]
52
[ "43+89=132", "132/44=3", "49+3=52" ]
Current State: 52:[49, 43, 44, 89], Operations: [] Exploring Operation: 43+89=132, Resulting Numbers: [49, 44, 132] Generated Node #2: [49, 44, 132] from Operation: 43+89=132 Current State: 52:[49, 44, 132], Operations: ['43+89=132'] Exploring Operation: 132/44=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 132/44=3 Current State: 52:[49, 3], Operations: ['43+89=132', '132/44=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 48, 37, 37 ]
99
[ "46-37=9", "48-37=11", "9*11=99" ]
Current State: 99:[46, 48, 37, 37], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [48, 9] Generated Node #2: [48, 9] from Operation: 46-37=9 Current State: 99:[48, 9], Operations: ['46-37=9'] Exploring Operation: 48-37=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 48-37=11 Current State: 99:[9, 11], Operations: ['46-37=9', '48-37=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 20, 4, 94 ]
70
[ "56+94=150", "20*4=80", "150-80=70" ]
Current State: 70:[56, 20, 4, 94], Operations: [] Exploring Operation: 56+94=150, Resulting Numbers: [20, 4, 150] Generated Node #2: [20, 4, 150] from Operation: 56+94=150 Current State: 70:[20, 4, 150], Operations: ['56+94=150'] Exploring Operation: 20*4=80, Resulting Numbers: [150, 80] Generated Node #3: [150, 80] from Operation: 20*4=80 Current State: 70:[150, 80], Operations: ['56+94=150', '20*4=80'] Exploring Operation: 150-80=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 98, 38, 40, 52 ]
78
[ "98-38=60", "52*60=3120", "3120/40=78" ]
Current State: 78:[98, 38, 40, 52], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [40, 52, 60] Generated Node #2: [40, 52, 60] from Operation: 98-38=60 Current State: 78:[40, 52, 60], Operations: ['98-38=60'] Exploring Operation: 52*60=3120, Resulting Numbers: [40, 3120] Generated Node #3: [40, 3120] from Operation: 52*60=3120 Current State: 78:[40, 3120], Operations: ['98-38=60', '52*60=3120'] Exploring Operation: 3120/40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 83, 68, 2, 26 ]
91
[ "83-26=57", "68/2=34", "57+34=91" ]
Current State: 91:[83, 68, 2, 26], Operations: [] Exploring Operation: 83-26=57, Resulting Numbers: [68, 2, 57] Generated Node #2: [68, 2, 57] from Operation: 83-26=57 Current State: 91:[68, 2, 57], Operations: ['83-26=57'] Exploring Operation: 68/2=34, Resulting Numbers: [57, 34] Generated Node #3: [57, 34] from Operation: 68/2=34 Current State: 91:[57, 34], Operations: ['83-26=57', '68/2=34'] Exploring Operation: 57+34=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 4, 84, 12 ]
62
[ "26+84=110", "4*12=48", "110-48=62" ]
Current State: 62:[26, 4, 84, 12], Operations: [] Exploring Operation: 26+84=110, Resulting Numbers: [4, 12, 110] Generated Node #2: [4, 12, 110] from Operation: 26+84=110 Current State: 62:[4, 12, 110], Operations: ['26+84=110'] Exploring Operation: 4*12=48, Resulting Numbers: [110, 48] Generated Node #3: [110, 48] from Operation: 4*12=48 Current State: 62:[110, 48], Operations: ['26+84=110', '4*12=48'] Exploring Operation: 110-48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 55, 27, 5 ]
77
[ "1*55=55", "27-5=22", "55+22=77" ]
Current State: 77:[1, 55, 27, 5], Operations: [] Exploring Operation: 1*55=55, Resulting Numbers: [27, 5, 55] Generated Node #2: [27, 5, 55] from Operation: 1*55=55 Current State: 77:[27, 5, 55], Operations: ['1*55=55'] Exploring Operation: 27-5=22, Resulting Numbers: [55, 22] Generated Node #3: [55, 22] from Operation: 27-5=22 Current State: 77:[55, 22], Operations: ['1*55=55', '27-5=22'] Exploring Operation: 55+22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 98, 98, 93, 59 ]
93
[ "98-98=0", "59*0=0", "93+0=93" ]
Current State: 93:[98, 98, 93, 59], Operations: [] Exploring Operation: 98-98=0, Resulting Numbers: [93, 59, 0] Generated Node #2: [93, 59, 0] from Operation: 98-98=0 Current State: 93:[93, 59, 0], Operations: ['98-98=0'] Exploring Operation: 59*0=0, Resulting Numbers: [93, 0] Generated Node #3: [93, 0] from Operation: 59*0=0 Current State: 93:[93, 0], Operations: ['98-98=0', '59*0=0'] Exploring Operation: 93+0=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 77, 2, 46 ]
41
[ "46-28=18", "2*18=36", "77-36=41" ]
Current State: 41:[28, 77, 2, 46], Operations: [] Exploring Operation: 46-28=18, Resulting Numbers: [77, 2, 18] Generated Node #2: [77, 2, 18] from Operation: 46-28=18 Current State: 41:[77, 2, 18], Operations: ['46-28=18'] Exploring Operation: 2*18=36, Resulting Numbers: [77, 36] Generated Node #3: [77, 36] from Operation: 2*18=36 Current State: 41:[77, 36], Operations: ['46-28=18', '2*18=36'] Exploring Operation: 77-36=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 63, 67, 8, 96 ]
42
[ "63+67=130", "96-8=88", "130-88=42" ]
Current State: 42:[63, 67, 8, 96], Operations: [] Exploring Operation: 63+67=130, Resulting Numbers: [8, 96, 130] Generated Node #2: [8, 96, 130] from Operation: 63+67=130 Current State: 42:[8, 96, 130], Operations: ['63+67=130'] Exploring Operation: 96-8=88, Resulting Numbers: [130, 88] Generated Node #3: [130, 88] from Operation: 96-8=88 Current State: 42:[130, 88], Operations: ['63+67=130', '96-8=88'] Exploring Operation: 130-88=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 19, 72, 9 ]
80
[ "19-9=10", "72/9=8", "10*8=80" ]
Current State: 80:[9, 19, 72, 9], Operations: [] Exploring Operation: 19-9=10, Resulting Numbers: [72, 10] Generated Node #2: [72, 10] from Operation: 19-9=10 Current State: 80:[72, 10], Operations: ['19-9=10'] Exploring Operation: 72/9=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 72/9=8 Current State: 80:[10, 8], Operations: ['19-9=10', '72/9=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 33, 54, 64, 30 ]
54
[ "64-33=31", "31-30=1", "54*1=54" ]
Current State: 54:[33, 54, 64, 30], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [54, 30, 31] Generated Node #2: [54, 30, 31] from Operation: 64-33=31 Current State: 54:[54, 30, 31], Operations: ['64-33=31'] Exploring Operation: 31-30=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 31-30=1 Current State: 54:[54, 1], Operations: ['64-33=31', '31-30=1'] Exploring Operation: 54*1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 6, 51, 69 ]
73
[ "69-51=18", "18/6=3", "76-3=73" ]
Current State: 73:[76, 6, 51, 69], Operations: [] Exploring Operation: 69-51=18, Resulting Numbers: [76, 6, 18] Generated Node #2: [76, 6, 18] from Operation: 69-51=18 Current State: 73:[76, 6, 18], Operations: ['69-51=18'] Exploring Operation: 18/6=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 18/6=3 Current State: 73:[76, 3], Operations: ['69-51=18', '18/6=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 10, 48, 55 ]
52
[ "2*55=110", "10+48=58", "110-58=52" ]
Current State: 52:[2, 10, 48, 55], Operations: [] Exploring Operation: 2*55=110, Resulting Numbers: [10, 48, 110] Generated Node #2: [10, 48, 110] from Operation: 2*55=110 Current State: 52:[10, 48, 110], Operations: ['2*55=110'] Exploring Operation: 10+48=58, Resulting Numbers: [110, 58] Generated Node #3: [110, 58] from Operation: 10+48=58 Current State: 52:[110, 58], Operations: ['2*55=110', '10+48=58'] Exploring Operation: 110-58=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 77, 23, 21 ]
86
[ "77-34=43", "23-21=2", "43*2=86" ]
Current State: 86:[34, 77, 23, 21], Operations: [] Exploring Operation: 77-34=43, Resulting Numbers: [23, 21, 43] Generated Node #2: [23, 21, 43] from Operation: 77-34=43 Current State: 86:[23, 21, 43], Operations: ['77-34=43'] Exploring Operation: 23-21=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 23-21=2 Current State: 86:[43, 2], Operations: ['77-34=43', '23-21=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 98, 8, 45 ]
62
[ "38+98=136", "136/8=17", "45+17=62" ]
Current State: 62:[38, 98, 8, 45], Operations: [] Exploring Operation: 38+98=136, Resulting Numbers: [8, 45, 136] Generated Node #2: [8, 45, 136] from Operation: 38+98=136 Current State: 62:[8, 45, 136], Operations: ['38+98=136'] Exploring Operation: 136/8=17, Resulting Numbers: [45, 17] Generated Node #3: [45, 17] from Operation: 136/8=17 Current State: 62:[45, 17], Operations: ['38+98=136', '136/8=17'] Exploring Operation: 45+17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 62, 48, 37, 57 ]
17
[ "62-57=5", "48+37=85", "85/5=17" ]
Current State: 17:[62, 48, 37, 57], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [48, 37, 5] Generated Node #2: [48, 37, 5] from Operation: 62-57=5 Current State: 17:[48, 37, 5], Operations: ['62-57=5'] Exploring Operation: 48+37=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 48+37=85 Current State: 17:[5, 85], Operations: ['62-57=5', '48+37=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 27, 27, 73 ]
91
[ "27/3=9", "27+73=100", "100-9=91" ]
Current State: 91:[3, 27, 27, 73], Operations: [] Exploring Operation: 27/3=9, Resulting Numbers: [73, 9] Generated Node #2: [73, 9] from Operation: 27/3=9 Current State: 91:[73, 9], Operations: ['27/3=9'] Exploring Operation: 27+73=100, Resulting Numbers: [9, 100] Generated Node #3: [9, 100] from Operation: 27+73=100 Current State: 91:[9, 100], Operations: ['27/3=9', '27+73=100'] Exploring Operation: 100-9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 58, 88, 28, 63 ]
61
[ "88-58=30", "28+63=91", "91-30=61" ]
Current State: 61:[58, 88, 28, 63], Operations: [] Exploring Operation: 88-58=30, Resulting Numbers: [28, 63, 30] Generated Node #2: [28, 63, 30] from Operation: 88-58=30 Current State: 61:[28, 63, 30], Operations: ['88-58=30'] Exploring Operation: 28+63=91, Resulting Numbers: [30, 91] Generated Node #3: [30, 91] from Operation: 28+63=91 Current State: 61:[30, 91], Operations: ['88-58=30', '28+63=91'] Exploring Operation: 91-30=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 57, 98, 17 ]
23
[ "1+57=58", "98-17=81", "81-58=23" ]
Current State: 23:[1, 57, 98, 17], Operations: [] Exploring Operation: 1+57=58, Resulting Numbers: [98, 17, 58] Generated Node #2: [98, 17, 58] from Operation: 1+57=58 Current State: 23:[98, 17, 58], Operations: ['1+57=58'] Exploring Operation: 98-17=81, Resulting Numbers: [58, 81] Generated Node #3: [58, 81] from Operation: 98-17=81 Current State: 23:[58, 81], Operations: ['1+57=58', '98-17=81'] Exploring Operation: 81-58=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 72, 8, 56 ]
64
[ "88-72=16", "56-8=48", "16+48=64" ]
Current State: 64:[88, 72, 8, 56], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [8, 56, 16] Generated Node #2: [8, 56, 16] from Operation: 88-72=16 Current State: 64:[8, 56, 16], Operations: ['88-72=16'] Exploring Operation: 56-8=48, Resulting Numbers: [16, 48] Generated Node #3: [16, 48] from Operation: 56-8=48 Current State: 64:[16, 48], Operations: ['88-72=16', '56-8=48'] Exploring Operation: 16+48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 91, 23, 61, 5 ]
12
[ "91-23=68", "61-5=56", "68-56=12" ]
Current State: 12:[91, 23, 61, 5], Operations: [] Exploring Operation: 91-23=68, Resulting Numbers: [61, 5, 68] Generated Node #2: [61, 5, 68] from Operation: 91-23=68 Current State: 12:[61, 5, 68], Operations: ['91-23=68'] Exploring Operation: 61-5=56, Resulting Numbers: [68, 56] Generated Node #3: [68, 56] from Operation: 61-5=56 Current State: 12:[68, 56], Operations: ['91-23=68', '61-5=56'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 36, 71, 10, 30 ]
67
[ "36+71=107", "10+30=40", "107-40=67" ]
Current State: 67:[36, 71, 10, 30], Operations: [] Exploring Operation: 36+71=107, Resulting Numbers: [10, 30, 107] Generated Node #2: [10, 30, 107] from Operation: 36+71=107 Current State: 67:[10, 30, 107], Operations: ['36+71=107'] Exploring Operation: 10+30=40, Resulting Numbers: [107, 40] Generated Node #3: [107, 40] from Operation: 10+30=40 Current State: 67:[107, 40], Operations: ['36+71=107', '10+30=40'] Exploring Operation: 107-40=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 63, 36, 60 ]
98
[ "63-61=2", "36+60=96", "2+96=98" ]
Current State: 98:[61, 63, 36, 60], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [36, 60, 2] Generated Node #2: [36, 60, 2] from Operation: 63-61=2 Current State: 98:[36, 60, 2], Operations: ['63-61=2'] Exploring Operation: 36+60=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 36+60=96 Current State: 98:[2, 96], Operations: ['63-61=2', '36+60=96'] Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 67, 7, 33, 76 ]
49
[ "67-7=60", "33+76=109", "109-60=49" ]
Current State: 49:[67, 7, 33, 76], Operations: [] Exploring Operation: 67-7=60, Resulting Numbers: [33, 76, 60] Generated Node #2: [33, 76, 60] from Operation: 67-7=60 Current State: 49:[33, 76, 60], Operations: ['67-7=60'] Exploring Operation: 33+76=109, Resulting Numbers: [60, 109] Generated Node #3: [60, 109] from Operation: 33+76=109 Current State: 49:[60, 109], Operations: ['67-7=60', '33+76=109'] Exploring Operation: 109-60=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 20, 54, 58, 65 ]
89
[ "54-20=34", "58+65=123", "123-34=89" ]
Current State: 89:[20, 54, 58, 65], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [58, 65, 34] Generated Node #2: [58, 65, 34] from Operation: 54-20=34 Current State: 89:[58, 65, 34], Operations: ['54-20=34'] Exploring Operation: 58+65=123, Resulting Numbers: [34, 123] Generated Node #3: [34, 123] from Operation: 58+65=123 Current State: 89:[34, 123], Operations: ['54-20=34', '58+65=123'] Exploring Operation: 123-34=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 13, 7, 3 ]
74
[ "83-13=70", "7-3=4", "70+4=74" ]
Current State: 74:[83, 13, 7, 3], Operations: [] Exploring Operation: 83-13=70, Resulting Numbers: [7, 3, 70] Generated Node #2: [7, 3, 70] from Operation: 83-13=70 Current State: 74:[7, 3, 70], Operations: ['83-13=70'] Exploring Operation: 7-3=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 7-3=4 Current State: 74:[70, 4], Operations: ['83-13=70', '7-3=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 44, 63, 46, 52 ]
79
[ "63-44=19", "46+52=98", "98-19=79" ]
Current State: 79:[44, 63, 46, 52], Operations: [] Exploring Operation: 63-44=19, Resulting Numbers: [46, 52, 19] Generated Node #2: [46, 52, 19] from Operation: 63-44=19 Current State: 79:[46, 52, 19], Operations: ['63-44=19'] Exploring Operation: 46+52=98, Resulting Numbers: [19, 98] Generated Node #3: [19, 98] from Operation: 46+52=98 Current State: 79:[19, 98], Operations: ['63-44=19', '46+52=98'] Exploring Operation: 98-19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 50, 1, 30 ]
92
[ "72+50=122", "1*30=30", "122-30=92" ]
Current State: 92:[72, 50, 1, 30], Operations: [] Exploring Operation: 72+50=122, Resulting Numbers: [1, 30, 122] Generated Node #2: [1, 30, 122] from Operation: 72+50=122 Current State: 92:[1, 30, 122], Operations: ['72+50=122'] Exploring Operation: 1*30=30, Resulting Numbers: [122, 30] Generated Node #3: [122, 30] from Operation: 1*30=30 Current State: 92:[122, 30], Operations: ['72+50=122', '1*30=30'] Exploring Operation: 122-30=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 79, 98, 16, 23 ]
58
[ "98-79=19", "16+23=39", "19+39=58" ]
Current State: 58:[79, 98, 16, 23], Operations: [] Exploring Operation: 98-79=19, Resulting Numbers: [16, 23, 19] Generated Node #2: [16, 23, 19] from Operation: 98-79=19 Current State: 58:[16, 23, 19], Operations: ['98-79=19'] Exploring Operation: 16+23=39, Resulting Numbers: [19, 39] Generated Node #3: [19, 39] from Operation: 16+23=39 Current State: 58:[19, 39], Operations: ['98-79=19', '16+23=39'] Exploring Operation: 19+39=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 78, 76, 79 ]
31
[ "79-17=62", "78-76=2", "62/2=31" ]
Current State: 31:[17, 78, 76, 79], Operations: [] Exploring Operation: 79-17=62, Resulting Numbers: [78, 76, 62] Generated Node #2: [78, 76, 62] from Operation: 79-17=62 Current State: 31:[78, 76, 62], Operations: ['79-17=62'] Exploring Operation: 78-76=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 78-76=2 Current State: 31:[62, 2], Operations: ['79-17=62', '78-76=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 5, 32, 2 ]
42
[ "27-5=22", "32*2=64", "64-22=42" ]
Current State: 42:[27, 5, 32, 2], Operations: [] Exploring Operation: 27-5=22, Resulting Numbers: [32, 2, 22] Generated Node #2: [32, 2, 22] from Operation: 27-5=22 Current State: 42:[32, 2, 22], Operations: ['27-5=22'] Exploring Operation: 32*2=64, Resulting Numbers: [22, 64] Generated Node #3: [22, 64] from Operation: 32*2=64 Current State: 42:[22, 64], Operations: ['27-5=22', '32*2=64'] Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 12, 90, 8, 23 ]
18
[ "23-8=15", "90/15=6", "12+6=18" ]
Current State: 18:[12, 90, 8, 23], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [12, 90, 15] Generated Node #2: [12, 90, 15] from Operation: 23-8=15 Current State: 18:[12, 90, 15], Operations: ['23-8=15'] Exploring Operation: 90/15=6, Resulting Numbers: [12, 6] Generated Node #3: [12, 6] from Operation: 90/15=6 Current State: 18:[12, 6], Operations: ['23-8=15', '90/15=6'] Exploring Operation: 12+6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 47, 29, 71, 32 ]
57
[ "47-29=18", "71-32=39", "18+39=57" ]
Current State: 57:[47, 29, 71, 32], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [71, 32, 18] Generated Node #2: [71, 32, 18] from Operation: 47-29=18 Current State: 57:[71, 32, 18], Operations: ['47-29=18'] Exploring Operation: 71-32=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 71-32=39 Current State: 57:[18, 39], Operations: ['47-29=18', '71-32=39'] Exploring Operation: 18+39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 22, 53, 8, 36 ]
55
[ "8+36=44", "44/22=2", "53+2=55" ]
Current State: 55:[22, 53, 8, 36], Operations: [] Exploring Operation: 8+36=44, Resulting Numbers: [22, 53, 44] Generated Node #2: [22, 53, 44] from Operation: 8+36=44 Current State: 55:[22, 53, 44], Operations: ['8+36=44'] Exploring Operation: 44/22=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 44/22=2 Current State: 55:[53, 2], Operations: ['8+36=44', '44/22=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 33, 32, 32, 8 ]
25
[ "33+32=65", "32+8=40", "65-40=25" ]
Current State: 25:[33, 32, 32, 8], Operations: [] Exploring Operation: 33+32=65, Resulting Numbers: [8, 65] Generated Node #2: [8, 65] from Operation: 33+32=65 Current State: 25:[8, 65], Operations: ['33+32=65'] Exploring Operation: 32+8=40, Resulting Numbers: [65, 40] Generated Node #3: [65, 40] from Operation: 32+8=40 Current State: 25:[65, 40], Operations: ['33+32=65', '32+8=40'] Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 41, 20, 79 ]
42
[ "79-77=2", "41-20=21", "2*21=42" ]
Current State: 42:[77, 41, 20, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [41, 20, 2] Generated Node #2: [41, 20, 2] from Operation: 79-77=2 Current State: 42:[41, 20, 2], Operations: ['79-77=2'] Exploring Operation: 41-20=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 41-20=21 Current State: 42:[2, 21], Operations: ['79-77=2', '41-20=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 35, 35, 72, 42 ]
29
[ "35/35=1", "72-42=30", "30-1=29" ]
Current State: 29:[35, 35, 72, 42], Operations: [] Exploring Operation: 35/35=1, Resulting Numbers: [72, 42, 1] Generated Node #2: [72, 42, 1] from Operation: 35/35=1 Current State: 29:[72, 42, 1], Operations: ['35/35=1'] Exploring Operation: 72-42=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 72-42=30 Current State: 29:[1, 30], Operations: ['35/35=1', '72-42=30'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 73, 49, 27 ]
59
[ "62+73=135", "49+27=76", "135-76=59" ]
Current State: 59:[62, 73, 49, 27], Operations: [] Exploring Operation: 62+73=135, Resulting Numbers: [49, 27, 135] Generated Node #2: [49, 27, 135] from Operation: 62+73=135 Current State: 59:[49, 27, 135], Operations: ['62+73=135'] Exploring Operation: 49+27=76, Resulting Numbers: [135, 76] Generated Node #3: [135, 76] from Operation: 49+27=76 Current State: 59:[135, 76], Operations: ['62+73=135', '49+27=76'] Exploring Operation: 135-76=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 45, 65, 61 ]
85
[ "36+45=81", "65-61=4", "81+4=85" ]
Current State: 85:[36, 45, 65, 61], Operations: [] Exploring Operation: 36+45=81, Resulting Numbers: [65, 61, 81] Generated Node #2: [65, 61, 81] from Operation: 36+45=81 Current State: 85:[65, 61, 81], Operations: ['36+45=81'] Exploring Operation: 65-61=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 65-61=4 Current State: 85:[81, 4], Operations: ['36+45=81', '65-61=4'] Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 97, 92, 10, 88 ]
86
[ "97-92=5", "10/5=2", "88-2=86" ]
Current State: 86:[97, 92, 10, 88], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [10, 88, 5] Generated Node #2: [10, 88, 5] from Operation: 97-92=5 Current State: 86:[10, 88, 5], Operations: ['97-92=5'] Exploring Operation: 10/5=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 10/5=2 Current State: 86:[88, 2], Operations: ['97-92=5', '10/5=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 98, 19, 54, 97 ]
89
[ "98+54=152", "152/19=8", "97-8=89" ]
Current State: 89:[98, 19, 54, 97], Operations: [] Exploring Operation: 98+54=152, Resulting Numbers: [19, 97, 152] Generated Node #2: [19, 97, 152] from Operation: 98+54=152 Current State: 89:[19, 97, 152], Operations: ['98+54=152'] Exploring Operation: 152/19=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 152/19=8 Current State: 89:[97, 8], Operations: ['98+54=152', '152/19=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 1, 23, 76 ]
67
[ "14*1=14", "76-23=53", "14+53=67" ]
Current State: 67:[14, 1, 23, 76], Operations: [] Exploring Operation: 14*1=14, Resulting Numbers: [23, 76, 14] Generated Node #2: [23, 76, 14] from Operation: 14*1=14 Current State: 67:[23, 76, 14], Operations: ['14*1=14'] Exploring Operation: 76-23=53, Resulting Numbers: [14, 53] Generated Node #3: [14, 53] from Operation: 76-23=53 Current State: 67:[14, 53], Operations: ['14*1=14', '76-23=53'] Exploring Operation: 14+53=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 20, 45, 19 ]
76
[ "32-20=12", "45+19=64", "12+64=76" ]
Current State: 76:[32, 20, 45, 19], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [45, 19, 12] Generated Node #2: [45, 19, 12] from Operation: 32-20=12 Current State: 76:[45, 19, 12], Operations: ['32-20=12'] Exploring Operation: 45+19=64, Resulting Numbers: [12, 64] Generated Node #3: [12, 64] from Operation: 45+19=64 Current State: 76:[12, 64], Operations: ['32-20=12', '45+19=64'] Exploring Operation: 12+64=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 82, 42, 66, 5 ]
49
[ "82-5=77", "42*77=3234", "3234/66=49" ]
Current State: 49:[82, 42, 66, 5], Operations: [] Exploring Operation: 82-5=77, Resulting Numbers: [42, 66, 77] Generated Node #2: [42, 66, 77] from Operation: 82-5=77 Current State: 49:[42, 66, 77], Operations: ['82-5=77'] Exploring Operation: 42*77=3234, Resulting Numbers: [66, 3234] Generated Node #3: [66, 3234] from Operation: 42*77=3234 Current State: 49:[66, 3234], Operations: ['82-5=77', '42*77=3234'] Exploring Operation: 3234/66=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 87, 4, 46, 30 ]
13
[ "87+46=133", "4*30=120", "133-120=13" ]
Current State: 13:[87, 4, 46, 30], Operations: [] Exploring Operation: 87+46=133, Resulting Numbers: [4, 30, 133] Generated Node #2: [4, 30, 133] from Operation: 87+46=133 Current State: 13:[4, 30, 133], Operations: ['87+46=133'] Exploring Operation: 4*30=120, Resulting Numbers: [133, 120] Generated Node #3: [133, 120] from Operation: 4*30=120 Current State: 13:[133, 120], Operations: ['87+46=133', '4*30=120'] Exploring Operation: 133-120=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 45, 35, 88 ]
13
[ "91+45=136", "35+88=123", "136-123=13" ]
Current State: 13:[91, 45, 35, 88], Operations: [] Exploring Operation: 91+45=136, Resulting Numbers: [35, 88, 136] Generated Node #2: [35, 88, 136] from Operation: 91+45=136 Current State: 13:[35, 88, 136], Operations: ['91+45=136'] Exploring Operation: 35+88=123, Resulting Numbers: [136, 123] Generated Node #3: [136, 123] from Operation: 35+88=123 Current State: 13:[136, 123], Operations: ['91+45=136', '35+88=123'] Exploring Operation: 136-123=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 42, 7, 3 ]
56
[ "10+42=52", "7-3=4", "52+4=56" ]
Current State: 56:[10, 42, 7, 3], Operations: [] Exploring Operation: 10+42=52, Resulting Numbers: [7, 3, 52] Generated Node #2: [7, 3, 52] from Operation: 10+42=52 Current State: 56:[7, 3, 52], Operations: ['10+42=52'] Exploring Operation: 7-3=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 7-3=4 Current State: 56:[52, 4], Operations: ['10+42=52', '7-3=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 64, 2, 17, 76 ]
12
[ "64*2=128", "76+128=204", "204/17=12" ]
Current State: 12:[64, 2, 17, 76], Operations: [] Exploring Operation: 64*2=128, Resulting Numbers: [17, 76, 128] Generated Node #2: [17, 76, 128] from Operation: 64*2=128 Current State: 12:[17, 76, 128], Operations: ['64*2=128'] Exploring Operation: 76+128=204, Resulting Numbers: [17, 204] Generated Node #3: [17, 204] from Operation: 76+128=204 Current State: 12:[17, 204], Operations: ['64*2=128', '76+128=204'] Exploring Operation: 204/17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 27, 87, 44 ]
53
[ "51+27=78", "87+44=131", "131-78=53" ]
Current State: 53:[51, 27, 87, 44], Operations: [] Exploring Operation: 51+27=78, Resulting Numbers: [87, 44, 78] Generated Node #2: [87, 44, 78] from Operation: 51+27=78 Current State: 53:[87, 44, 78], Operations: ['51+27=78'] Exploring Operation: 87+44=131, Resulting Numbers: [78, 131] Generated Node #3: [78, 131] from Operation: 87+44=131 Current State: 53:[78, 131], Operations: ['51+27=78', '87+44=131'] Exploring Operation: 131-78=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 67, 45, 18, 50 ]
17
[ "67+18=85", "50-45=5", "85/5=17" ]
Current State: 17:[67, 45, 18, 50], Operations: [] Exploring Operation: 67+18=85, Resulting Numbers: [45, 50, 85] Generated Node #2: [45, 50, 85] from Operation: 67+18=85 Current State: 17:[45, 50, 85], Operations: ['67+18=85'] Exploring Operation: 50-45=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 50-45=5 Current State: 17:[85, 5], Operations: ['67+18=85', '50-45=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 7, 34, 25, 76 ]
19
[ "76-34=42", "42/7=6", "25-6=19" ]
Current State: 19:[7, 34, 25, 76], Operations: [] Exploring Operation: 76-34=42, Resulting Numbers: [7, 25, 42] Generated Node #2: [7, 25, 42] from Operation: 76-34=42 Current State: 19:[7, 25, 42], Operations: ['76-34=42'] Exploring Operation: 42/7=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 42/7=6 Current State: 19:[25, 6], Operations: ['76-34=42', '42/7=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 6, 53, 41 ]
36
[ "54-6=48", "53-41=12", "48-12=36" ]
Current State: 36:[54, 6, 53, 41], Operations: [] Exploring Operation: 54-6=48, Resulting Numbers: [53, 41, 48] Generated Node #2: [53, 41, 48] from Operation: 54-6=48 Current State: 36:[53, 41, 48], Operations: ['54-6=48'] Exploring Operation: 53-41=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 53-41=12 Current State: 36:[48, 12], Operations: ['54-6=48', '53-41=12'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 46, 48, 10 ]
49
[ "55-46=9", "48+10=58", "58-9=49" ]
Current State: 49:[55, 46, 48, 10], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [48, 10, 9] Generated Node #2: [48, 10, 9] from Operation: 55-46=9 Current State: 49:[48, 10, 9], Operations: ['55-46=9'] Exploring Operation: 48+10=58, Resulting Numbers: [9, 58] Generated Node #3: [9, 58] from Operation: 48+10=58 Current State: 49:[9, 58], Operations: ['55-46=9', '48+10=58'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 6, 15, 78 ]
24
[ "73*6=438", "438-78=360", "360/15=24" ]
Current State: 24:[73, 6, 15, 78], Operations: [] Exploring Operation: 73*6=438, Resulting Numbers: [15, 78, 438] Generated Node #2: [15, 78, 438] from Operation: 73*6=438 Current State: 24:[15, 78, 438], Operations: ['73*6=438'] Exploring Operation: 438-78=360, Resulting Numbers: [15, 360] Generated Node #3: [15, 360] from Operation: 438-78=360 Current State: 24:[15, 360], Operations: ['73*6=438', '438-78=360'] Exploring Operation: 360/15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 5, 18, 9 ]
100
[ "18+9=27", "5*27=135", "135-35=100" ]
Current State: 100:[35, 5, 18, 9], Operations: [] Exploring Operation: 18+9=27, Resulting Numbers: [35, 5, 27] Generated Node #2: [35, 5, 27] from Operation: 18+9=27 Current State: 100:[35, 5, 27], Operations: ['18+9=27'] Exploring Operation: 5*27=135, Resulting Numbers: [35, 135] Generated Node #3: [35, 135] from Operation: 5*27=135 Current State: 100:[35, 135], Operations: ['18+9=27', '5*27=135'] Exploring Operation: 135-35=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 62, 53, 2, 70 ]
77
[ "62-53=9", "70-2=68", "9+68=77" ]
Current State: 77:[62, 53, 2, 70], Operations: [] Exploring Operation: 62-53=9, Resulting Numbers: [2, 70, 9] Generated Node #2: [2, 70, 9] from Operation: 62-53=9 Current State: 77:[2, 70, 9], Operations: ['62-53=9'] Exploring Operation: 70-2=68, Resulting Numbers: [9, 68] Generated Node #3: [9, 68] from Operation: 70-2=68 Current State: 77:[9, 68], Operations: ['62-53=9', '70-2=68'] Exploring Operation: 9+68=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 6, 10, 35, 77 ]
73
[ "35-10=25", "6*25=150", "150-77=73" ]
Current State: 73:[6, 10, 35, 77], Operations: [] Exploring Operation: 35-10=25, Resulting Numbers: [6, 77, 25] Generated Node #2: [6, 77, 25] from Operation: 35-10=25 Current State: 73:[6, 77, 25], Operations: ['35-10=25'] Exploring Operation: 6*25=150, Resulting Numbers: [77, 150] Generated Node #3: [77, 150] from Operation: 6*25=150 Current State: 73:[77, 150], Operations: ['35-10=25', '6*25=150'] Exploring Operation: 150-77=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 20, 38, 64 ]
48
[ "42-20=22", "64-38=26", "22+26=48" ]
Current State: 48:[42, 20, 38, 64], Operations: [] Exploring Operation: 42-20=22, Resulting Numbers: [38, 64, 22] Generated Node #2: [38, 64, 22] from Operation: 42-20=22 Current State: 48:[38, 64, 22], Operations: ['42-20=22'] Exploring Operation: 64-38=26, Resulting Numbers: [22, 26] Generated Node #3: [22, 26] from Operation: 64-38=26 Current State: 48:[22, 26], Operations: ['42-20=22', '64-38=26'] Exploring Operation: 22+26=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 65, 51, 2, 96 ]
84
[ "65-51=14", "2+96=98", "98-14=84" ]
Current State: 84:[65, 51, 2, 96], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [2, 96, 14] Generated Node #2: [2, 96, 14] from Operation: 65-51=14 Current State: 84:[2, 96, 14], Operations: ['65-51=14'] Exploring Operation: 2+96=98, Resulting Numbers: [14, 98] Generated Node #3: [14, 98] from Operation: 2+96=98 Current State: 84:[14, 98], Operations: ['65-51=14', '2+96=98'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 88, 43, 44, 5 ]
46
[ "88/44=2", "43+5=48", "48-2=46" ]
Current State: 46:[88, 43, 44, 5], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [43, 5, 2] Generated Node #2: [43, 5, 2] from Operation: 88/44=2 Current State: 46:[43, 5, 2], Operations: ['88/44=2'] Exploring Operation: 43+5=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 43+5=48 Current State: 46:[2, 48], Operations: ['88/44=2', '43+5=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 52, 81, 57, 23 ]
52
[ "81-57=24", "24-23=1", "52*1=52" ]
Current State: 52:[52, 81, 57, 23], Operations: [] Exploring Operation: 81-57=24, Resulting Numbers: [52, 23, 24] Generated Node #2: [52, 23, 24] from Operation: 81-57=24 Current State: 52:[52, 23, 24], Operations: ['81-57=24'] Exploring Operation: 24-23=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 24-23=1 Current State: 52:[52, 1], Operations: ['81-57=24', '24-23=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 37, 2, 43, 25 ]
46
[ "43-25=18", "18/2=9", "37+9=46" ]
Current State: 46:[37, 2, 43, 25], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [37, 2, 18] Generated Node #2: [37, 2, 18] from Operation: 43-25=18 Current State: 46:[37, 2, 18], Operations: ['43-25=18'] Exploring Operation: 18/2=9, Resulting Numbers: [37, 9] Generated Node #3: [37, 9] from Operation: 18/2=9 Current State: 46:[37, 9], Operations: ['43-25=18', '18/2=9'] Exploring Operation: 37+9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 39, 4, 84 ]
18
[ "84-39=45", "4*45=180", "180/10=18" ]
Current State: 18:[10, 39, 4, 84], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [10, 4, 45] Generated Node #2: [10, 4, 45] from Operation: 84-39=45 Current State: 18:[10, 4, 45], Operations: ['84-39=45'] Exploring Operation: 4*45=180, Resulting Numbers: [10, 180] Generated Node #3: [10, 180] from Operation: 4*45=180 Current State: 18:[10, 180], Operations: ['84-39=45', '4*45=180'] Exploring Operation: 180/10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 11, 8, 97 ]
81
[ "35-11=24", "8+97=105", "105-24=81" ]
Current State: 81:[35, 11, 8, 97], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [8, 97, 24] Generated Node #2: [8, 97, 24] from Operation: 35-11=24 Current State: 81:[8, 97, 24], Operations: ['35-11=24'] Exploring Operation: 8+97=105, Resulting Numbers: [24, 105] Generated Node #3: [24, 105] from Operation: 8+97=105 Current State: 81:[24, 105], Operations: ['35-11=24', '8+97=105'] Exploring Operation: 105-24=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4