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
[ 67, 64, 56, 6 ]
19
[ "64-56=8", "6*8=48", "67-48=19" ]
Current State: 19:[67, 64, 56, 6], Operations: [] Exploring Operation: 64-56=8, Resulting Numbers: [67, 6, 8] Generated Node #2: [67, 6, 8] from Operation: 64-56=8 Current State: 19:[67, 6, 8], Operations: ['64-56=8'] Exploring Operation: 6*8=48, Resulting Numbers: [67, 48] Generated Node #3: [67, 48] from Operation: 6*8=48 Current State: 19:[67, 48], Operations: ['64-56=8', '6*8=48'] Exploring Operation: 67-48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 65, 89, 86 ]
49
[ "65-19=46", "89-86=3", "46+3=49" ]
Current State: 49:[19, 65, 89, 86], Operations: [] Exploring Operation: 65-19=46, Resulting Numbers: [89, 86, 46] Generated Node #2: [89, 86, 46] from Operation: 65-19=46 Current State: 49:[89, 86, 46], Operations: ['65-19=46'] Exploring Operation: 89-86=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 89-86=3 Current State: 49:[46, 3], Operations: ['65-19=46', '89-86=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 59, 86, 10, 82 ]
19
[ "86-82=4", "10*4=40", "59-40=19" ]
Current State: 19:[59, 86, 10, 82], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [59, 10, 4] Generated Node #2: [59, 10, 4] from Operation: 86-82=4 Current State: 19:[59, 10, 4], Operations: ['86-82=4'] Exploring Operation: 10*4=40, Resulting Numbers: [59, 40] Generated Node #3: [59, 40] from Operation: 10*4=40 Current State: 19:[59, 40], Operations: ['86-82=4', '10*4=40'] Exploring Operation: 59-40=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 85, 3, 40 ]
72
[ "85-21=64", "64-40=24", "3*24=72" ]
Current State: 72:[21, 85, 3, 40], Operations: [] Exploring Operation: 85-21=64, Resulting Numbers: [3, 40, 64] Generated Node #2: [3, 40, 64] from Operation: 85-21=64 Current State: 72:[3, 40, 64], Operations: ['85-21=64'] Exploring Operation: 64-40=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 64-40=24 Current State: 72:[3, 24], Operations: ['85-21=64', '64-40=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 96, 94, 15 ]
77
[ "98-96=2", "94-15=79", "79-2=77" ]
Current State: 77:[98, 96, 94, 15], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [94, 15, 2] Generated Node #2: [94, 15, 2] from Operation: 98-96=2 Current State: 77:[94, 15, 2], Operations: ['98-96=2'] Exploring Operation: 94-15=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 94-15=79 Current State: 77:[2, 79], Operations: ['98-96=2', '94-15=79'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 31, 54, 9, 51 ]
26
[ "51-31=20", "54/9=6", "20+6=26" ]
Current State: 26:[31, 54, 9, 51], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [54, 9, 20] Generated Node #2: [54, 9, 20] from Operation: 51-31=20 Current State: 26:[54, 9, 20], Operations: ['51-31=20'] Exploring Operation: 54/9=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 54/9=6 Current State: 26:[20, 6], Operations: ['51-31=20', '54/9=6'] Exploring Operation: 20+6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 13, 12, 89 ]
49
[ "15+13=28", "89-12=77", "77-28=49" ]
Current State: 49:[15, 13, 12, 89], Operations: [] Exploring Operation: 15+13=28, Resulting Numbers: [12, 89, 28] Generated Node #2: [12, 89, 28] from Operation: 15+13=28 Current State: 49:[12, 89, 28], Operations: ['15+13=28'] Exploring Operation: 89-12=77, Resulting Numbers: [28, 77] Generated Node #3: [28, 77] from Operation: 89-12=77 Current State: 49:[28, 77], Operations: ['15+13=28', '89-12=77'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 76, 70, 50 ]
69
[ "76-25=51", "70+50=120", "120-51=69" ]
Current State: 69:[25, 76, 70, 50], Operations: [] Exploring Operation: 76-25=51, Resulting Numbers: [70, 50, 51] Generated Node #2: [70, 50, 51] from Operation: 76-25=51 Current State: 69:[70, 50, 51], Operations: ['76-25=51'] Exploring Operation: 70+50=120, Resulting Numbers: [51, 120] Generated Node #3: [51, 120] from Operation: 70+50=120 Current State: 69:[51, 120], Operations: ['76-25=51', '70+50=120'] Exploring Operation: 120-51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 31, 1, 71 ]
53
[ "3+1=4", "31*4=124", "124-71=53" ]
Current State: 53:[3, 31, 1, 71], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [31, 71, 4] Generated Node #2: [31, 71, 4] from Operation: 3+1=4 Current State: 53:[31, 71, 4], Operations: ['3+1=4'] Exploring Operation: 31*4=124, Resulting Numbers: [71, 124] Generated Node #3: [71, 124] from Operation: 31*4=124 Current State: 53:[71, 124], Operations: ['3+1=4', '31*4=124'] Exploring Operation: 124-71=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 10, 62, 75, 45 ]
85
[ "75-62=13", "10*13=130", "130-45=85" ]
Current State: 85:[10, 62, 75, 45], Operations: [] Exploring Operation: 75-62=13, Resulting Numbers: [10, 45, 13] Generated Node #2: [10, 45, 13] from Operation: 75-62=13 Current State: 85:[10, 45, 13], Operations: ['75-62=13'] Exploring Operation: 10*13=130, Resulting Numbers: [45, 130] Generated Node #3: [45, 130] from Operation: 10*13=130 Current State: 85:[45, 130], Operations: ['75-62=13', '10*13=130'] Exploring Operation: 130-45=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 7, 56, 38 ]
45
[ "9*7=63", "56-38=18", "63-18=45" ]
Current State: 45:[9, 7, 56, 38], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [56, 38, 63] Generated Node #2: [56, 38, 63] from Operation: 9*7=63 Current State: 45:[56, 38, 63], Operations: ['9*7=63'] Exploring Operation: 56-38=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 56-38=18 Current State: 45:[63, 18], Operations: ['9*7=63', '56-38=18'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 57, 30, 15, 75 ]
11
[ "57*15=855", "855-30=825", "825/75=11" ]
Current State: 11:[57, 30, 15, 75], Operations: [] Exploring Operation: 57*15=855, Resulting Numbers: [30, 75, 855] Generated Node #2: [30, 75, 855] from Operation: 57*15=855 Current State: 11:[30, 75, 855], Operations: ['57*15=855'] Exploring Operation: 855-30=825, Resulting Numbers: [75, 825] Generated Node #3: [75, 825] from Operation: 855-30=825 Current State: 11:[75, 825], Operations: ['57*15=855', '855-30=825'] Exploring Operation: 825/75=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 76, 72, 59 ]
71
[ "76-72=4", "3*4=12", "59+12=71" ]
Current State: 71:[3, 76, 72, 59], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [3, 59, 4] Generated Node #2: [3, 59, 4] from Operation: 76-72=4 Current State: 71:[3, 59, 4], Operations: ['76-72=4'] Exploring Operation: 3*4=12, Resulting Numbers: [59, 12] Generated Node #3: [59, 12] from Operation: 3*4=12 Current State: 71:[59, 12], Operations: ['76-72=4', '3*4=12'] Exploring Operation: 59+12=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 29, 12, 67, 23 ]
65
[ "29-23=6", "12/6=2", "67-2=65" ]
Current State: 65:[29, 12, 67, 23], Operations: [] Exploring Operation: 29-23=6, Resulting Numbers: [12, 67, 6] Generated Node #2: [12, 67, 6] from Operation: 29-23=6 Current State: 65:[12, 67, 6], Operations: ['29-23=6'] Exploring Operation: 12/6=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 12/6=2 Current State: 65:[67, 2], Operations: ['29-23=6', '12/6=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 66, 59, 62, 13 ]
68
[ "66-59=7", "62+13=75", "75-7=68" ]
Current State: 68:[66, 59, 62, 13], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [62, 13, 7] Generated Node #2: [62, 13, 7] from Operation: 66-59=7 Current State: 68:[62, 13, 7], Operations: ['66-59=7'] Exploring Operation: 62+13=75, Resulting Numbers: [7, 75] Generated Node #3: [7, 75] from Operation: 62+13=75 Current State: 68:[7, 75], Operations: ['66-59=7', '62+13=75'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 84, 25, 47 ]
33
[ "31-25=6", "84/6=14", "47-14=33" ]
Current State: 33:[31, 84, 25, 47], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [84, 47, 6] Generated Node #2: [84, 47, 6] from Operation: 31-25=6 Current State: 33:[84, 47, 6], Operations: ['31-25=6'] Exploring Operation: 84/6=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 84/6=14 Current State: 33:[47, 14], Operations: ['31-25=6', '84/6=14'] Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 13, 28, 34 ]
31
[ "28-13=15", "45/15=3", "34-3=31" ]
Current State: 31:[45, 13, 28, 34], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [45, 34, 15] Generated Node #2: [45, 34, 15] from Operation: 28-13=15 Current State: 31:[45, 34, 15], Operations: ['28-13=15'] Exploring Operation: 45/15=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 45/15=3 Current State: 31:[34, 3], Operations: ['28-13=15', '45/15=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 23, 10, 66 ]
91
[ "38-23=15", "10+66=76", "15+76=91" ]
Current State: 91:[38, 23, 10, 66], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [10, 66, 15] Generated Node #2: [10, 66, 15] from Operation: 38-23=15 Current State: 91:[10, 66, 15], Operations: ['38-23=15'] Exploring Operation: 10+66=76, Resulting Numbers: [15, 76] Generated Node #3: [15, 76] from Operation: 10+66=76 Current State: 91:[15, 76], Operations: ['38-23=15', '10+66=76'] Exploring Operation: 15+76=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 20, 20, 16 ]
36
[ "20-11=9", "20-16=4", "9*4=36" ]
Current State: 36:[11, 20, 20, 16], Operations: [] Exploring Operation: 20-11=9, Resulting Numbers: [16, 9] Generated Node #2: [16, 9] from Operation: 20-11=9 Current State: 36:[16, 9], Operations: ['20-11=9'] Exploring Operation: 20-16=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 20-16=4 Current State: 36:[9, 4], Operations: ['20-11=9', '20-16=4'] Exploring Operation: 9*4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 33, 57, 31 ]
64
[ "33-31=2", "14/2=7", "57+7=64" ]
Current State: 64:[14, 33, 57, 31], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [14, 57, 2] Generated Node #2: [14, 57, 2] from Operation: 33-31=2 Current State: 64:[14, 57, 2], Operations: ['33-31=2'] Exploring Operation: 14/2=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 14/2=7 Current State: 64:[57, 7], Operations: ['33-31=2', '14/2=7'] Exploring Operation: 57+7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 33, 48, 96, 93 ]
59
[ "96-93=3", "33/3=11", "48+11=59" ]
Current State: 59:[33, 48, 96, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [33, 48, 3] Generated Node #2: [33, 48, 3] from Operation: 96-93=3 Current State: 59:[33, 48, 3], Operations: ['96-93=3'] Exploring Operation: 33/3=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 33/3=11 Current State: 59:[48, 11], Operations: ['96-93=3', '33/3=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 95, 39, 32, 99 ]
47
[ "99-95=4", "32/4=8", "39+8=47" ]
Current State: 47:[95, 39, 32, 99], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [39, 32, 4] Generated Node #2: [39, 32, 4] from Operation: 99-95=4 Current State: 47:[39, 32, 4], Operations: ['99-95=4'] Exploring Operation: 32/4=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 32/4=8 Current State: 47:[39, 8], Operations: ['99-95=4', '32/4=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 21, 28, 67 ]
63
[ "56+28=84", "84/21=4", "67-4=63" ]
Current State: 63:[56, 21, 28, 67], Operations: [] Exploring Operation: 56+28=84, Resulting Numbers: [21, 67, 84] Generated Node #2: [21, 67, 84] from Operation: 56+28=84 Current State: 63:[21, 67, 84], Operations: ['56+28=84'] Exploring Operation: 84/21=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 84/21=4 Current State: 63:[67, 4], Operations: ['56+28=84', '84/21=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 96, 7, 72 ]
33
[ "96-64=32", "72-7=65", "65-32=33" ]
Current State: 33:[64, 96, 7, 72], Operations: [] Exploring Operation: 96-64=32, Resulting Numbers: [7, 72, 32] Generated Node #2: [7, 72, 32] from Operation: 96-64=32 Current State: 33:[7, 72, 32], Operations: ['96-64=32'] Exploring Operation: 72-7=65, Resulting Numbers: [32, 65] Generated Node #3: [32, 65] from Operation: 72-7=65 Current State: 33:[32, 65], Operations: ['96-64=32', '72-7=65'] Exploring Operation: 65-32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 27, 24, 9 ]
21
[ "9-5=4", "24/4=6", "27-6=21" ]
Current State: 21:[5, 27, 24, 9], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [27, 24, 4] Generated Node #2: [27, 24, 4] from Operation: 9-5=4 Current State: 21:[27, 24, 4], Operations: ['9-5=4'] Exploring Operation: 24/4=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 24/4=6 Current State: 21:[27, 6], Operations: ['9-5=4', '24/4=6'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 33, 69, 12, 96 ]
60
[ "69+96=165", "165/33=5", "12*5=60" ]
Current State: 60:[33, 69, 12, 96], Operations: [] Exploring Operation: 69+96=165, Resulting Numbers: [33, 12, 165] Generated Node #2: [33, 12, 165] from Operation: 69+96=165 Current State: 60:[33, 12, 165], Operations: ['69+96=165'] Exploring Operation: 165/33=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 165/33=5 Current State: 60:[12, 5], Operations: ['69+96=165', '165/33=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 50, 48, 87, 80 ]
47
[ "50-48=2", "80/2=40", "87-40=47" ]
Current State: 47:[50, 48, 87, 80], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [87, 80, 2] Generated Node #2: [87, 80, 2] from Operation: 50-48=2 Current State: 47:[87, 80, 2], Operations: ['50-48=2'] Exploring Operation: 80/2=40, Resulting Numbers: [87, 40] Generated Node #3: [87, 40] from Operation: 80/2=40 Current State: 47:[87, 40], Operations: ['50-48=2', '80/2=40'] Exploring Operation: 87-40=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 93, 39, 31, 85 ]
32
[ "93*39=3627", "3627/31=117", "117-85=32" ]
Current State: 32:[93, 39, 31, 85], Operations: [] Exploring Operation: 93*39=3627, Resulting Numbers: [31, 85, 3627] Generated Node #2: [31, 85, 3627] from Operation: 93*39=3627 Current State: 32:[31, 85, 3627], Operations: ['93*39=3627'] Exploring Operation: 3627/31=117, Resulting Numbers: [85, 117] Generated Node #3: [85, 117] from Operation: 3627/31=117 Current State: 32:[85, 117], Operations: ['93*39=3627', '3627/31=117'] Exploring Operation: 117-85=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 85, 66, 88, 22 ]
44
[ "88-85=3", "66/3=22", "22+22=44" ]
Current State: 44:[85, 66, 88, 22], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [66, 22, 3] Generated Node #2: [66, 22, 3] from Operation: 88-85=3 Current State: 44:[66, 22, 3], Operations: ['88-85=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22, 22] Generated Node #3: [22, 22] from Operation: 66/3=22 Current State: 44:[22, 22], Operations: ['88-85=3', '66/3=22'] Exploring Operation: 22+22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 43, 47, 72, 30 ]
12
[ "43+47=90", "72+30=102", "102-90=12" ]
Current State: 12:[43, 47, 72, 30], Operations: [] Exploring Operation: 43+47=90, Resulting Numbers: [72, 30, 90] Generated Node #2: [72, 30, 90] from Operation: 43+47=90 Current State: 12:[72, 30, 90], Operations: ['43+47=90'] Exploring Operation: 72+30=102, Resulting Numbers: [90, 102] Generated Node #3: [90, 102] from Operation: 72+30=102 Current State: 12:[90, 102], Operations: ['43+47=90', '72+30=102'] Exploring Operation: 102-90=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 69, 73, 52 ]
75
[ "73-69=4", "92/4=23", "52+23=75" ]
Current State: 75:[92, 69, 73, 52], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [92, 52, 4] Generated Node #2: [92, 52, 4] from Operation: 73-69=4 Current State: 75:[92, 52, 4], Operations: ['73-69=4'] Exploring Operation: 92/4=23, Resulting Numbers: [52, 23] Generated Node #3: [52, 23] from Operation: 92/4=23 Current State: 75:[52, 23], Operations: ['73-69=4', '92/4=23'] Exploring Operation: 52+23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 13, 25, 89 ]
84
[ "17+13=30", "25+89=114", "114-30=84" ]
Current State: 84:[17, 13, 25, 89], Operations: [] Exploring Operation: 17+13=30, Resulting Numbers: [25, 89, 30] Generated Node #2: [25, 89, 30] from Operation: 17+13=30 Current State: 84:[25, 89, 30], Operations: ['17+13=30'] Exploring Operation: 25+89=114, Resulting Numbers: [30, 114] Generated Node #3: [30, 114] from Operation: 25+89=114 Current State: 84:[30, 114], Operations: ['17+13=30', '25+89=114'] Exploring Operation: 114-30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 86, 79, 66, 6 ]
41
[ "86-66=20", "6*20=120", "120-79=41" ]
Current State: 41:[86, 79, 66, 6], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [79, 6, 20] Generated Node #2: [79, 6, 20] from Operation: 86-66=20 Current State: 41:[79, 6, 20], Operations: ['86-66=20'] Exploring Operation: 6*20=120, Resulting Numbers: [79, 120] Generated Node #3: [79, 120] from Operation: 6*20=120 Current State: 41:[79, 120], Operations: ['86-66=20', '6*20=120'] Exploring Operation: 120-79=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 90, 56, 41 ]
82
[ "90-32=58", "58-56=2", "41*2=82" ]
Current State: 82:[32, 90, 56, 41], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [56, 41, 58] Generated Node #2: [56, 41, 58] from Operation: 90-32=58 Current State: 82:[56, 41, 58], Operations: ['90-32=58'] Exploring Operation: 58-56=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 58-56=2 Current State: 82:[41, 2], Operations: ['90-32=58', '58-56=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 78, 94, 75, 57 ]
97
[ "78*94=7332", "7332-57=7275", "7275/75=97" ]
Current State: 97:[78, 94, 75, 57], Operations: [] Exploring Operation: 78*94=7332, Resulting Numbers: [75, 57, 7332] Generated Node #2: [75, 57, 7332] from Operation: 78*94=7332 Current State: 97:[75, 57, 7332], Operations: ['78*94=7332'] Exploring Operation: 7332-57=7275, Resulting Numbers: [75, 7275] Generated Node #3: [75, 7275] from Operation: 7332-57=7275 Current State: 97:[75, 7275], Operations: ['78*94=7332', '7332-57=7275'] Exploring Operation: 7275/75=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 34, 15, 33 ]
28
[ "34-15=19", "33-19=14", "2*14=28" ]
Current State: 28:[2, 34, 15, 33], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [2, 33, 19] Generated Node #2: [2, 33, 19] from Operation: 34-15=19 Current State: 28:[2, 33, 19], Operations: ['34-15=19'] Exploring Operation: 33-19=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 33-19=14 Current State: 28:[2, 14], Operations: ['34-15=19', '33-19=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 62, 63, 55 ]
49
[ "7+62=69", "63+55=118", "118-69=49" ]
Current State: 49:[7, 62, 63, 55], Operations: [] Exploring Operation: 7+62=69, Resulting Numbers: [63, 55, 69] Generated Node #2: [63, 55, 69] from Operation: 7+62=69 Current State: 49:[63, 55, 69], Operations: ['7+62=69'] Exploring Operation: 63+55=118, Resulting Numbers: [69, 118] Generated Node #3: [69, 118] from Operation: 63+55=118 Current State: 49:[69, 118], Operations: ['7+62=69', '63+55=118'] Exploring Operation: 118-69=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 57, 44, 73, 68 ]
40
[ "57+44=101", "73+68=141", "141-101=40" ]
Current State: 40:[57, 44, 73, 68], Operations: [] Exploring Operation: 57+44=101, Resulting Numbers: [73, 68, 101] Generated Node #2: [73, 68, 101] from Operation: 57+44=101 Current State: 40:[73, 68, 101], Operations: ['57+44=101'] Exploring Operation: 73+68=141, Resulting Numbers: [101, 141] Generated Node #3: [101, 141] from Operation: 73+68=141 Current State: 40:[101, 141], Operations: ['57+44=101', '73+68=141'] Exploring Operation: 141-101=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 95, 32, 3 ]
19
[ "95-6=89", "89-32=57", "57/3=19" ]
Current State: 19:[6, 95, 32, 3], Operations: [] Exploring Operation: 95-6=89, Resulting Numbers: [32, 3, 89] Generated Node #2: [32, 3, 89] from Operation: 95-6=89 Current State: 19:[32, 3, 89], Operations: ['95-6=89'] Exploring Operation: 89-32=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 89-32=57 Current State: 19:[3, 57], Operations: ['95-6=89', '89-32=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 3, 77, 46 ]
46
[ "3-3=0", "77*0=0", "46+0=46" ]
Current State: 46:[3, 3, 77, 46], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [77, 46, 0] Generated Node #2: [77, 46, 0] from Operation: 3-3=0 Current State: 46:[77, 46, 0], Operations: ['3-3=0'] Exploring Operation: 77*0=0, Resulting Numbers: [46, 0] Generated Node #3: [46, 0] from Operation: 77*0=0 Current State: 46:[46, 0], Operations: ['3-3=0', '77*0=0'] Exploring Operation: 46+0=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 38, 96, 94 ]
80
[ "96-94=2", "38/2=19", "61+19=80" ]
Current State: 80:[61, 38, 96, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [61, 38, 2] Generated Node #2: [61, 38, 2] from Operation: 96-94=2 Current State: 80:[61, 38, 2], Operations: ['96-94=2'] Exploring Operation: 38/2=19, Resulting Numbers: [61, 19] Generated Node #3: [61, 19] from Operation: 38/2=19 Current State: 80:[61, 19], Operations: ['96-94=2', '38/2=19'] Exploring Operation: 61+19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 5, 71, 27 ]
78
[ "39-5=34", "71-27=44", "34+44=78" ]
Current State: 78:[39, 5, 71, 27], Operations: [] Exploring Operation: 39-5=34, Resulting Numbers: [71, 27, 34] Generated Node #2: [71, 27, 34] from Operation: 39-5=34 Current State: 78:[71, 27, 34], Operations: ['39-5=34'] Exploring Operation: 71-27=44, Resulting Numbers: [34, 44] Generated Node #3: [34, 44] from Operation: 71-27=44 Current State: 78:[34, 44], Operations: ['39-5=34', '71-27=44'] Exploring Operation: 34+44=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 18, 57, 30, 23 ]
63
[ "23-18=5", "30/5=6", "57+6=63" ]
Current State: 63:[18, 57, 30, 23], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [57, 30, 5] Generated Node #2: [57, 30, 5] from Operation: 23-18=5 Current State: 63:[57, 30, 5], Operations: ['23-18=5'] Exploring Operation: 30/5=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 30/5=6 Current State: 63:[57, 6], Operations: ['23-18=5', '30/5=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 47, 66, 87, 4 ]
17
[ "66-47=19", "87-19=68", "68/4=17" ]
Current State: 17:[47, 66, 87, 4], Operations: [] Exploring Operation: 66-47=19, Resulting Numbers: [87, 4, 19] Generated Node #2: [87, 4, 19] from Operation: 66-47=19 Current State: 17:[87, 4, 19], Operations: ['66-47=19'] Exploring Operation: 87-19=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 87-19=68 Current State: 17:[4, 68], Operations: ['66-47=19', '87-19=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 63, 76, 79, 60 ]
48
[ "63*76=4788", "79*60=4740", "4788-4740=48" ]
Current State: 48:[63, 76, 79, 60], Operations: [] Exploring Operation: 63*76=4788, Resulting Numbers: [79, 60, 4788] Generated Node #2: [79, 60, 4788] from Operation: 63*76=4788 Current State: 48:[79, 60, 4788], Operations: ['63*76=4788'] Exploring Operation: 79*60=4740, Resulting Numbers: [4788, 4740] Generated Node #3: [4788, 4740] from Operation: 79*60=4740 Current State: 48:[4788, 4740], Operations: ['63*76=4788', '79*60=4740'] Exploring Operation: 4788-4740=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 13, 32, 77 ]
36
[ "77-13=64", "64/32=2", "38-2=36" ]
Current State: 36:[38, 13, 32, 77], Operations: [] Exploring Operation: 77-13=64, Resulting Numbers: [38, 32, 64] Generated Node #2: [38, 32, 64] from Operation: 77-13=64 Current State: 36:[38, 32, 64], Operations: ['77-13=64'] Exploring Operation: 64/32=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 64/32=2 Current State: 36:[38, 2], Operations: ['77-13=64', '64/32=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 93, 93, 37, 73 ]
36
[ "93-93=0", "73-37=36", "0+36=36" ]
Current State: 36:[93, 93, 37, 73], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [37, 73, 0] Generated Node #2: [37, 73, 0] from Operation: 93-93=0 Current State: 36:[37, 73, 0], Operations: ['93-93=0'] Exploring Operation: 73-37=36, Resulting Numbers: [0, 36] Generated Node #3: [0, 36] from Operation: 73-37=36 Current State: 36:[0, 36], Operations: ['93-93=0', '73-37=36'] Exploring Operation: 0+36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 65, 1, 34 ]
14
[ "65-1=64", "34+64=98", "98/7=14" ]
Current State: 14:[7, 65, 1, 34], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [7, 34, 64] Generated Node #2: [7, 34, 64] from Operation: 65-1=64 Current State: 14:[7, 34, 64], Operations: ['65-1=64'] Exploring Operation: 34+64=98, Resulting Numbers: [7, 98] Generated Node #3: [7, 98] from Operation: 34+64=98 Current State: 14:[7, 98], Operations: ['65-1=64', '34+64=98'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 32, 46, 64, 32 ]
76
[ "32+46=78", "64/32=2", "78-2=76" ]
Current State: 76:[32, 46, 64, 32], Operations: [] Exploring Operation: 32+46=78, Resulting Numbers: [64, 78] Generated Node #2: [64, 78] from Operation: 32+46=78 Current State: 76:[64, 78], Operations: ['32+46=78'] Exploring Operation: 64/32=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 64/32=2 Current State: 76:[78, 2], Operations: ['32+46=78', '64/32=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 24, 10, 99 ]
98
[ "24-14=10", "10/10=1", "99-1=98" ]
Current State: 98:[14, 24, 10, 99], Operations: [] Exploring Operation: 24-14=10, Resulting Numbers: [10, 99, 10] Generated Node #2: [10, 99, 10] from Operation: 24-14=10 Current State: 98:[10, 99, 10], Operations: ['24-14=10'] Exploring Operation: 10/10=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 10/10=1 Current State: 98:[99, 1], Operations: ['24-14=10', '10/10=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 24, 98, 79, 65 ]
88
[ "98-24=74", "79-65=14", "74+14=88" ]
Current State: 88:[24, 98, 79, 65], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [79, 65, 74] Generated Node #2: [79, 65, 74] from Operation: 98-24=74 Current State: 88:[79, 65, 74], Operations: ['98-24=74'] Exploring Operation: 79-65=14, Resulting Numbers: [74, 14] Generated Node #3: [74, 14] from Operation: 79-65=14 Current State: 88:[74, 14], Operations: ['98-24=74', '79-65=14'] Exploring Operation: 74+14=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 77, 11, 96, 61 ]
17
[ "77-61=16", "96/16=6", "11+6=17" ]
Current State: 17:[77, 11, 96, 61], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [11, 96, 16] Generated Node #2: [11, 96, 16] from Operation: 77-61=16 Current State: 17:[11, 96, 16], Operations: ['77-61=16'] Exploring Operation: 96/16=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 96/16=6 Current State: 17:[11, 6], Operations: ['77-61=16', '96/16=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 24, 5, 85 ]
68
[ "24-20=4", "85/5=17", "4*17=68" ]
Current State: 68:[20, 24, 5, 85], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [5, 85, 4] Generated Node #2: [5, 85, 4] from Operation: 24-20=4 Current State: 68:[5, 85, 4], Operations: ['24-20=4'] Exploring Operation: 85/5=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 85/5=17 Current State: 68:[4, 17], Operations: ['24-20=4', '85/5=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 17, 16, 96, 51 ]
28
[ "51-17=34", "96/16=6", "34-6=28" ]
Current State: 28:[17, 16, 96, 51], Operations: [] Exploring Operation: 51-17=34, Resulting Numbers: [16, 96, 34] Generated Node #2: [16, 96, 34] from Operation: 51-17=34 Current State: 28:[16, 96, 34], Operations: ['51-17=34'] Exploring Operation: 96/16=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 96/16=6 Current State: 28:[34, 6], Operations: ['51-17=34', '96/16=6'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 16, 20, 50 ]
34
[ "16*50=800", "800/20=40", "40-6=34" ]
Current State: 34:[6, 16, 20, 50], Operations: [] Exploring Operation: 16*50=800, Resulting Numbers: [6, 20, 800] Generated Node #2: [6, 20, 800] from Operation: 16*50=800 Current State: 34:[6, 20, 800], Operations: ['16*50=800'] Exploring Operation: 800/20=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 800/20=40 Current State: 34:[6, 40], Operations: ['16*50=800', '800/20=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 96, 45, 26, 47 ]
83
[ "47-45=2", "26/2=13", "96-13=83" ]
Current State: 83:[96, 45, 26, 47], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [96, 26, 2] Generated Node #2: [96, 26, 2] from Operation: 47-45=2 Current State: 83:[96, 26, 2], Operations: ['47-45=2'] Exploring Operation: 26/2=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 26/2=13 Current State: 83:[96, 13], Operations: ['47-45=2', '26/2=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 54, 74, 70 ]
14
[ "25+54=79", "79-74=5", "70/5=14" ]
Current State: 14:[25, 54, 74, 70], Operations: [] Exploring Operation: 25+54=79, Resulting Numbers: [74, 70, 79] Generated Node #2: [74, 70, 79] from Operation: 25+54=79 Current State: 14:[74, 70, 79], Operations: ['25+54=79'] Exploring Operation: 79-74=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 79-74=5 Current State: 14:[70, 5], Operations: ['25+54=79', '79-74=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 3, 13, 70 ]
44
[ "13*3=39", "13+70=83", "83-39=44" ]
Current State: 44:[13, 3, 13, 70], Operations: [] Exploring Operation: 13*3=39, Resulting Numbers: [70, 39] Generated Node #2: [70, 39] from Operation: 13*3=39 Current State: 44:[70, 39], Operations: ['13*3=39'] Exploring Operation: 13+70=83, Resulting Numbers: [39, 83] Generated Node #3: [39, 83] from Operation: 13+70=83 Current State: 44:[39, 83], Operations: ['13*3=39', '13+70=83'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 76, 82, 63, 85 ]
75
[ "85-76=9", "63/9=7", "82-7=75" ]
Current State: 75:[76, 82, 63, 85], Operations: [] Exploring Operation: 85-76=9, Resulting Numbers: [82, 63, 9] Generated Node #2: [82, 63, 9] from Operation: 85-76=9 Current State: 75:[82, 63, 9], Operations: ['85-76=9'] Exploring Operation: 63/9=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 63/9=7 Current State: 75:[82, 7], Operations: ['85-76=9', '63/9=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 5, 95, 2 ]
79
[ "9+5=14", "95-2=93", "93-14=79" ]
Current State: 79:[9, 5, 95, 2], Operations: [] Exploring Operation: 9+5=14, Resulting Numbers: [95, 2, 14] Generated Node #2: [95, 2, 14] from Operation: 9+5=14 Current State: 79:[95, 2, 14], Operations: ['9+5=14'] Exploring Operation: 95-2=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 95-2=93 Current State: 79:[14, 93], Operations: ['9+5=14', '95-2=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 65, 2, 65, 53 ]
24
[ "65+65=130", "2*53=106", "130-106=24" ]
Current State: 24:[65, 2, 65, 53], Operations: [] Exploring Operation: 65+65=130, Resulting Numbers: [2, 53, 130] Generated Node #2: [2, 53, 130] from Operation: 65+65=130 Current State: 24:[2, 53, 130], Operations: ['65+65=130'] Exploring Operation: 2*53=106, Resulting Numbers: [130, 106] Generated Node #3: [130, 106] from Operation: 2*53=106 Current State: 24:[130, 106], Operations: ['65+65=130', '2*53=106'] Exploring Operation: 130-106=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 96, 87, 30 ]
24
[ "96-87=9", "6*9=54", "54-30=24" ]
Current State: 24:[6, 96, 87, 30], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [6, 30, 9] Generated Node #2: [6, 30, 9] from Operation: 96-87=9 Current State: 24:[6, 30, 9], Operations: ['96-87=9'] Exploring Operation: 6*9=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 6*9=54 Current State: 24:[30, 54], Operations: ['96-87=9', '6*9=54'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 79, 96, 31, 59 ]
45
[ "96-79=17", "59-31=28", "17+28=45" ]
Current State: 45:[79, 96, 31, 59], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [31, 59, 17] Generated Node #2: [31, 59, 17] from Operation: 96-79=17 Current State: 45:[31, 59, 17], Operations: ['96-79=17'] Exploring Operation: 59-31=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 59-31=28 Current State: 45:[17, 28], Operations: ['96-79=17', '59-31=28'] Exploring Operation: 17+28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 15, 21, 76, 57 ]
55
[ "15+21=36", "76-57=19", "36+19=55" ]
Current State: 55:[15, 21, 76, 57], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [76, 57, 36] Generated Node #2: [76, 57, 36] from Operation: 15+21=36 Current State: 55:[76, 57, 36], Operations: ['15+21=36'] Exploring Operation: 76-57=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 76-57=19 Current State: 55:[36, 19], Operations: ['15+21=36', '76-57=19'] Exploring Operation: 36+19=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 69, 5, 79, 57 ]
42
[ "69-5=64", "79-57=22", "64-22=42" ]
Current State: 42:[69, 5, 79, 57], Operations: [] Exploring Operation: 69-5=64, Resulting Numbers: [79, 57, 64] Generated Node #2: [79, 57, 64] from Operation: 69-5=64 Current State: 42:[79, 57, 64], Operations: ['69-5=64'] Exploring Operation: 79-57=22, Resulting Numbers: [64, 22] Generated Node #3: [64, 22] from Operation: 79-57=22 Current State: 42:[64, 22], Operations: ['69-5=64', '79-57=22'] Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 99, 46, 22 ]
33
[ "20+46=66", "99*22=2178", "2178/66=33" ]
Current State: 33:[20, 99, 46, 22], Operations: [] Exploring Operation: 20+46=66, Resulting Numbers: [99, 22, 66] Generated Node #2: [99, 22, 66] from Operation: 20+46=66 Current State: 33:[99, 22, 66], Operations: ['20+46=66'] Exploring Operation: 99*22=2178, Resulting Numbers: [66, 2178] Generated Node #3: [66, 2178] from Operation: 99*22=2178 Current State: 33:[66, 2178], Operations: ['20+46=66', '99*22=2178'] Exploring Operation: 2178/66=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 84, 52, 85 ]
57
[ "84-4=80", "52+85=137", "137-80=57" ]
Current State: 57:[4, 84, 52, 85], Operations: [] Exploring Operation: 84-4=80, Resulting Numbers: [52, 85, 80] Generated Node #2: [52, 85, 80] from Operation: 84-4=80 Current State: 57:[52, 85, 80], Operations: ['84-4=80'] Exploring Operation: 52+85=137, Resulting Numbers: [80, 137] Generated Node #3: [80, 137] from Operation: 52+85=137 Current State: 57:[80, 137], Operations: ['84-4=80', '52+85=137'] Exploring Operation: 137-80=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 16, 94, 2, 8 ]
72
[ "94-16=78", "8-2=6", "78-6=72" ]
Current State: 72:[16, 94, 2, 8], Operations: [] Exploring Operation: 94-16=78, Resulting Numbers: [2, 8, 78] Generated Node #2: [2, 8, 78] from Operation: 94-16=78 Current State: 72:[2, 8, 78], Operations: ['94-16=78'] Exploring Operation: 8-2=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 8-2=6 Current State: 72:[78, 6], Operations: ['94-16=78', '8-2=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 95, 79, 93 ]
44
[ "95-65=30", "93-79=14", "30+14=44" ]
Current State: 44:[65, 95, 79, 93], Operations: [] Exploring Operation: 95-65=30, Resulting Numbers: [79, 93, 30] Generated Node #2: [79, 93, 30] from Operation: 95-65=30 Current State: 44:[79, 93, 30], Operations: ['95-65=30'] Exploring Operation: 93-79=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 93-79=14 Current State: 44:[30, 14], Operations: ['95-65=30', '93-79=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 89, 99, 86, 58 ]
18
[ "99-89=10", "86-58=28", "28-10=18" ]
Current State: 18:[89, 99, 86, 58], Operations: [] Exploring Operation: 99-89=10, Resulting Numbers: [86, 58, 10] Generated Node #2: [86, 58, 10] from Operation: 99-89=10 Current State: 18:[86, 58, 10], Operations: ['99-89=10'] Exploring Operation: 86-58=28, Resulting Numbers: [10, 28] Generated Node #3: [10, 28] from Operation: 86-58=28 Current State: 18:[10, 28], Operations: ['99-89=10', '86-58=28'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 39, 62, 33 ]
80
[ "39-33=6", "3*6=18", "62+18=80" ]
Current State: 80:[3, 39, 62, 33], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [3, 62, 6] Generated Node #2: [3, 62, 6] from Operation: 39-33=6 Current State: 80:[3, 62, 6], Operations: ['39-33=6'] Exploring Operation: 3*6=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 3*6=18 Current State: 80:[62, 18], Operations: ['39-33=6', '3*6=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 21, 67, 23, 94 ]
71
[ "67-21=46", "23+94=117", "117-46=71" ]
Current State: 71:[21, 67, 23, 94], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [23, 94, 46] Generated Node #2: [23, 94, 46] from Operation: 67-21=46 Current State: 71:[23, 94, 46], Operations: ['67-21=46'] Exploring Operation: 23+94=117, Resulting Numbers: [46, 117] Generated Node #3: [46, 117] from Operation: 23+94=117 Current State: 71:[46, 117], Operations: ['67-21=46', '23+94=117'] Exploring Operation: 117-46=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 3, 76, 57 ]
65
[ "57-24=33", "33/3=11", "76-11=65" ]
Current State: 65:[24, 3, 76, 57], Operations: [] Exploring Operation: 57-24=33, Resulting Numbers: [3, 76, 33] Generated Node #2: [3, 76, 33] from Operation: 57-24=33 Current State: 65:[3, 76, 33], Operations: ['57-24=33'] Exploring Operation: 33/3=11, Resulting Numbers: [76, 11] Generated Node #3: [76, 11] from Operation: 33/3=11 Current State: 65:[76, 11], Operations: ['57-24=33', '33/3=11'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 42, 6, 3 ]
28
[ "20-6=14", "42/3=14", "14+14=28" ]
Current State: 28:[20, 42, 6, 3], Operations: [] Exploring Operation: 20-6=14, Resulting Numbers: [42, 3, 14] Generated Node #2: [42, 3, 14] from Operation: 20-6=14 Current State: 28:[42, 3, 14], Operations: ['20-6=14'] Exploring Operation: 42/3=14, Resulting Numbers: [14, 14] Generated Node #3: [14, 14] from Operation: 42/3=14 Current State: 28:[14, 14], Operations: ['20-6=14', '42/3=14'] Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 60, 31, 30, 49 ]
13
[ "60*31=1860", "1860/30=62", "62-49=13" ]
Current State: 13:[60, 31, 30, 49], Operations: [] Exploring Operation: 60*31=1860, Resulting Numbers: [30, 49, 1860] Generated Node #2: [30, 49, 1860] from Operation: 60*31=1860 Current State: 13:[30, 49, 1860], Operations: ['60*31=1860'] Exploring Operation: 1860/30=62, Resulting Numbers: [49, 62] Generated Node #3: [49, 62] from Operation: 1860/30=62 Current State: 13:[49, 62], Operations: ['60*31=1860', '1860/30=62'] Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 99, 11, 83, 81 ]
44
[ "99-11=88", "83-81=2", "88/2=44" ]
Current State: 44:[99, 11, 83, 81], Operations: [] Exploring Operation: 99-11=88, Resulting Numbers: [83, 81, 88] Generated Node #2: [83, 81, 88] from Operation: 99-11=88 Current State: 44:[83, 81, 88], Operations: ['99-11=88'] Exploring Operation: 83-81=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 83-81=2 Current State: 44:[88, 2], Operations: ['99-11=88', '83-81=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 49, 6, 56 ]
27
[ "56/2=28", "49+6=55", "55-28=27" ]
Current State: 27:[2, 49, 6, 56], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [49, 6, 28] Generated Node #2: [49, 6, 28] from Operation: 56/2=28 Current State: 27:[49, 6, 28], Operations: ['56/2=28'] Exploring Operation: 49+6=55, Resulting Numbers: [28, 55] Generated Node #3: [28, 55] from Operation: 49+6=55 Current State: 27:[28, 55], Operations: ['56/2=28', '49+6=55'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 24, 44, 71, 93 ]
12
[ "93-71=22", "24*22=528", "528/44=12" ]
Current State: 12:[24, 44, 71, 93], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [24, 44, 22] Generated Node #2: [24, 44, 22] from Operation: 93-71=22 Current State: 12:[24, 44, 22], Operations: ['93-71=22'] Exploring Operation: 24*22=528, Resulting Numbers: [44, 528] Generated Node #3: [44, 528] from Operation: 24*22=528 Current State: 12:[44, 528], Operations: ['93-71=22', '24*22=528'] Exploring Operation: 528/44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 59, 75, 69, 7 ]
59
[ "75-69=6", "7-6=1", "59*1=59" ]
Current State: 59:[59, 75, 69, 7], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [59, 7, 6] Generated Node #2: [59, 7, 6] from Operation: 75-69=6 Current State: 59:[59, 7, 6], Operations: ['75-69=6'] Exploring Operation: 7-6=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 7-6=1 Current State: 59:[59, 1], Operations: ['75-69=6', '7-6=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 35, 46, 7 ]
30
[ "35-12=23", "46+7=53", "53-23=30" ]
Current State: 30:[12, 35, 46, 7], Operations: [] Exploring Operation: 35-12=23, Resulting Numbers: [46, 7, 23] Generated Node #2: [46, 7, 23] from Operation: 35-12=23 Current State: 30:[46, 7, 23], Operations: ['35-12=23'] Exploring Operation: 46+7=53, Resulting Numbers: [23, 53] Generated Node #3: [23, 53] from Operation: 46+7=53 Current State: 30:[23, 53], Operations: ['35-12=23', '46+7=53'] Exploring Operation: 53-23=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 64, 88, 8 ]
99
[ "88-64=24", "24/8=3", "96+3=99" ]
Current State: 99:[96, 64, 88, 8], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [96, 8, 24] Generated Node #2: [96, 8, 24] from Operation: 88-64=24 Current State: 99:[96, 8, 24], Operations: ['88-64=24'] Exploring Operation: 24/8=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 24/8=3 Current State: 99:[96, 3], Operations: ['88-64=24', '24/8=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 5, 46, 24, 84 ]
70
[ "46+24=70", "70/5=14", "84-14=70" ]
Current State: 70:[5, 46, 24, 84], Operations: [] Exploring Operation: 46+24=70, Resulting Numbers: [5, 84, 70] Generated Node #2: [5, 84, 70] from Operation: 46+24=70 Current State: 70:[5, 84, 70], Operations: ['46+24=70'] Exploring Operation: 70/5=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 70/5=14 Current State: 70:[84, 14], Operations: ['46+24=70', '70/5=14'] Exploring Operation: 84-14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 59, 26, 41 ]
29
[ "97-59=38", "26+41=67", "67-38=29" ]
Current State: 29:[97, 59, 26, 41], Operations: [] Exploring Operation: 97-59=38, Resulting Numbers: [26, 41, 38] Generated Node #2: [26, 41, 38] from Operation: 97-59=38 Current State: 29:[26, 41, 38], Operations: ['97-59=38'] Exploring Operation: 26+41=67, Resulting Numbers: [38, 67] Generated Node #3: [38, 67] from Operation: 26+41=67 Current State: 29:[38, 67], Operations: ['97-59=38', '26+41=67'] Exploring Operation: 67-38=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 58, 2, 56, 18 ]
75
[ "58+56=114", "114/2=57", "18+57=75" ]
Current State: 75:[58, 2, 56, 18], Operations: [] Exploring Operation: 58+56=114, Resulting Numbers: [2, 18, 114] Generated Node #2: [2, 18, 114] from Operation: 58+56=114 Current State: 75:[2, 18, 114], Operations: ['58+56=114'] Exploring Operation: 114/2=57, Resulting Numbers: [18, 57] Generated Node #3: [18, 57] from Operation: 114/2=57 Current State: 75:[18, 57], Operations: ['58+56=114', '114/2=57'] Exploring Operation: 18+57=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 40, 31, 88 ]
85
[ "40-31=9", "9/3=3", "88-3=85" ]
Current State: 85:[3, 40, 31, 88], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [3, 88, 9] Generated Node #2: [3, 88, 9] from Operation: 40-31=9 Current State: 85:[3, 88, 9], Operations: ['40-31=9'] Exploring Operation: 9/3=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 9/3=3 Current State: 85:[88, 3], Operations: ['40-31=9', '9/3=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 65, 14, 40, 19 ]
100
[ "65+14=79", "40-19=21", "79+21=100" ]
Current State: 100:[65, 14, 40, 19], Operations: [] Exploring Operation: 65+14=79, Resulting Numbers: [40, 19, 79] Generated Node #2: [40, 19, 79] from Operation: 65+14=79 Current State: 100:[40, 19, 79], Operations: ['65+14=79'] Exploring Operation: 40-19=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 40-19=21 Current State: 100:[79, 21], Operations: ['65+14=79', '40-19=21'] Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 47, 57, 3, 88 ]
19
[ "47+57=104", "88-3=85", "104-85=19" ]
Current State: 19:[47, 57, 3, 88], Operations: [] Exploring Operation: 47+57=104, Resulting Numbers: [3, 88, 104] Generated Node #2: [3, 88, 104] from Operation: 47+57=104 Current State: 19:[3, 88, 104], Operations: ['47+57=104'] Exploring Operation: 88-3=85, Resulting Numbers: [104, 85] Generated Node #3: [104, 85] from Operation: 88-3=85 Current State: 19:[104, 85], Operations: ['47+57=104', '88-3=85'] Exploring Operation: 104-85=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 43, 44, 8 ]
96
[ "43-8=35", "4*35=140", "140-44=96" ]
Current State: 96:[4, 43, 44, 8], Operations: [] Exploring Operation: 43-8=35, Resulting Numbers: [4, 44, 35] Generated Node #2: [4, 44, 35] from Operation: 43-8=35 Current State: 96:[4, 44, 35], Operations: ['43-8=35'] Exploring Operation: 4*35=140, Resulting Numbers: [44, 140] Generated Node #3: [44, 140] from Operation: 4*35=140 Current State: 96:[44, 140], Operations: ['43-8=35', '4*35=140'] Exploring Operation: 140-44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 95, 76, 51, 52 ]
68
[ "95+76=171", "51+52=103", "171-103=68" ]
Current State: 68:[95, 76, 51, 52], Operations: [] Exploring Operation: 95+76=171, Resulting Numbers: [51, 52, 171] Generated Node #2: [51, 52, 171] from Operation: 95+76=171 Current State: 68:[51, 52, 171], Operations: ['95+76=171'] Exploring Operation: 51+52=103, Resulting Numbers: [171, 103] Generated Node #3: [171, 103] from Operation: 51+52=103 Current State: 68:[171, 103], Operations: ['95+76=171', '51+52=103'] Exploring Operation: 171-103=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 28, 60, 22 ]
46
[ "28-22=6", "84/6=14", "60-14=46" ]
Current State: 46:[84, 28, 60, 22], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [84, 60, 6] Generated Node #2: [84, 60, 6] from Operation: 28-22=6 Current State: 46:[84, 60, 6], Operations: ['28-22=6'] Exploring Operation: 84/6=14, Resulting Numbers: [60, 14] Generated Node #3: [60, 14] from Operation: 84/6=14 Current State: 46:[60, 14], Operations: ['28-22=6', '84/6=14'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 72, 98, 96, 93 ]
23
[ "98-72=26", "96-93=3", "26-3=23" ]
Current State: 23:[72, 98, 96, 93], Operations: [] Exploring Operation: 98-72=26, Resulting Numbers: [96, 93, 26] Generated Node #2: [96, 93, 26] from Operation: 98-72=26 Current State: 23:[96, 93, 26], Operations: ['98-72=26'] Exploring Operation: 96-93=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 96-93=3 Current State: 23:[26, 3], Operations: ['98-72=26', '96-93=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 10, 3, 28 ]
82
[ "28-10=18", "18/3=6", "88-6=82" ]
Current State: 82:[88, 10, 3, 28], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [88, 3, 18] Generated Node #2: [88, 3, 18] from Operation: 28-10=18 Current State: 82:[88, 3, 18], Operations: ['28-10=18'] Exploring Operation: 18/3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 18/3=6 Current State: 82:[88, 6], Operations: ['28-10=18', '18/3=6'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 21, 84, 33 ]
58
[ "84/21=4", "33-4=29", "2*29=58" ]
Current State: 58:[2, 21, 84, 33], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [2, 33, 4] Generated Node #2: [2, 33, 4] from Operation: 84/21=4 Current State: 58:[2, 33, 4], Operations: ['84/21=4'] Exploring Operation: 33-4=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 33-4=29 Current State: 58:[2, 29], Operations: ['84/21=4', '33-4=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 18, 50, 4 ]
83
[ "7*50=350", "350-18=332", "332/4=83" ]
Current State: 83:[7, 18, 50, 4], Operations: [] Exploring Operation: 7*50=350, Resulting Numbers: [18, 4, 350] Generated Node #2: [18, 4, 350] from Operation: 7*50=350 Current State: 83:[18, 4, 350], Operations: ['7*50=350'] Exploring Operation: 350-18=332, Resulting Numbers: [4, 332] Generated Node #3: [4, 332] from Operation: 350-18=332 Current State: 83:[4, 332], Operations: ['7*50=350', '350-18=332'] Exploring Operation: 332/4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 11, 3, 86 ]
90
[ "13+3=16", "11*16=176", "176-86=90" ]
Current State: 90:[13, 11, 3, 86], Operations: [] Exploring Operation: 13+3=16, Resulting Numbers: [11, 86, 16] Generated Node #2: [11, 86, 16] from Operation: 13+3=16 Current State: 90:[11, 86, 16], Operations: ['13+3=16'] Exploring Operation: 11*16=176, Resulting Numbers: [86, 176] Generated Node #3: [86, 176] from Operation: 11*16=176 Current State: 90:[86, 176], Operations: ['13+3=16', '11*16=176'] Exploring Operation: 176-86=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 52, 40, 17 ]
28
[ "81-52=29", "40+17=57", "57-29=28" ]
Current State: 28:[81, 52, 40, 17], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [40, 17, 29] Generated Node #2: [40, 17, 29] from Operation: 81-52=29 Current State: 28:[40, 17, 29], Operations: ['81-52=29'] Exploring Operation: 40+17=57, Resulting Numbers: [29, 57] Generated Node #3: [29, 57] from Operation: 40+17=57 Current State: 28:[29, 57], Operations: ['81-52=29', '40+17=57'] Exploring Operation: 57-29=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 86, 2, 43, 29 ]
30
[ "86/2=43", "43/43=1", "29+1=30" ]
Current State: 30:[86, 2, 43, 29], Operations: [] Exploring Operation: 86/2=43, Resulting Numbers: [43, 29, 43] Generated Node #2: [43, 29, 43] from Operation: 86/2=43 Current State: 30:[43, 29, 43], Operations: ['86/2=43'] Exploring Operation: 43/43=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 43/43=1 Current State: 30:[29, 1], Operations: ['86/2=43', '43/43=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 36, 54, 30 ]
65
[ "36-30=6", "66/6=11", "54+11=65" ]
Current State: 65:[66, 36, 54, 30], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [66, 54, 6] Generated Node #2: [66, 54, 6] from Operation: 36-30=6 Current State: 65:[66, 54, 6], Operations: ['36-30=6'] Exploring Operation: 66/6=11, Resulting Numbers: [54, 11] Generated Node #3: [54, 11] from Operation: 66/6=11 Current State: 65:[54, 11], Operations: ['36-30=6', '66/6=11'] Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 41, 97, 74, 38 ]
69
[ "41-38=3", "97-74=23", "3*23=69" ]
Current State: 69:[41, 97, 74, 38], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [97, 74, 3] Generated Node #2: [97, 74, 3] from Operation: 41-38=3 Current State: 69:[97, 74, 3], Operations: ['41-38=3'] Exploring Operation: 97-74=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 97-74=23 Current State: 69:[3, 23], Operations: ['41-38=3', '97-74=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 58, 47, 42, 37 ]
56
[ "47+37=84", "84/42=2", "58-2=56" ]
Current State: 56:[58, 47, 42, 37], Operations: [] Exploring Operation: 47+37=84, Resulting Numbers: [58, 42, 84] Generated Node #2: [58, 42, 84] from Operation: 47+37=84 Current State: 56:[58, 42, 84], Operations: ['47+37=84'] Exploring Operation: 84/42=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 84/42=2 Current State: 56:[58, 2], Operations: ['47+37=84', '84/42=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4