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
[ 5, 28, 34, 3 ]
89
[ "5+34=39", "3*39=117", "117-28=89" ]
Current State: 89:[5, 28, 34, 3], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [28, 3, 39] Generated Node #2: [28, 3, 39] from Operation: 5+34=39 Current State: 89:[28, 3, 39], Operations: ['5+34=39'] Exploring Operation: 3*39=117, Resulting Numbers: [28, 117] Generated Node #3: [28, 117] from Operation: 3*39=117 Current State: 89:[28, 117], Operations: ['5+34=39', '3*39=117'] Exploring Operation: 117-28=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 78, 22, 90, 33 ]
24
[ "78-33=45", "90/45=2", "22+2=24" ]
Current State: 24:[78, 22, 90, 33], Operations: [] Exploring Operation: 78-33=45, Resulting Numbers: [22, 90, 45] Generated Node #2: [22, 90, 45] from Operation: 78-33=45 Current State: 24:[22, 90, 45], Operations: ['78-33=45'] Exploring Operation: 90/45=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 90/45=2 Current State: 24:[22, 2], Operations: ['78-33=45', '90/45=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 4, 59, 82 ]
19
[ "82-72=10", "4*10=40", "59-40=19" ]
Current State: 19:[72, 4, 59, 82], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [4, 59, 10] Generated Node #2: [4, 59, 10] from Operation: 82-72=10 Current State: 19:[4, 59, 10], Operations: ['82-72=10'] Exploring Operation: 4*10=40, Resulting Numbers: [59, 40] Generated Node #3: [59, 40] from Operation: 4*10=40 Current State: 19:[59, 40], Operations: ['82-72=10', '4*10=40'] Exploring Operation: 59-40=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 36, 48, 8 ]
16
[ "58-36=22", "48/8=6", "22-6=16" ]
Current State: 16:[58, 36, 48, 8], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [48, 8, 22] Generated Node #2: [48, 8, 22] from Operation: 58-36=22 Current State: 16:[48, 8, 22], Operations: ['58-36=22'] Exploring Operation: 48/8=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 48/8=6 Current State: 16:[22, 6], Operations: ['58-36=22', '48/8=6'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 76, 42, 19, 48 ]
54
[ "76/19=4", "48/4=12", "42+12=54" ]
Current State: 54:[76, 42, 19, 48], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [42, 48, 4] Generated Node #2: [42, 48, 4] from Operation: 76/19=4 Current State: 54:[42, 48, 4], Operations: ['76/19=4'] Exploring Operation: 48/4=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 48/4=12 Current State: 54:[42, 12], Operations: ['76/19=4', '48/4=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 12, 2, 93, 29 ]
38
[ "12+93=105", "105-29=76", "76/2=38" ]
Current State: 38:[12, 2, 93, 29], Operations: [] Exploring Operation: 12+93=105, Resulting Numbers: [2, 29, 105] Generated Node #2: [2, 29, 105] from Operation: 12+93=105 Current State: 38:[2, 29, 105], Operations: ['12+93=105'] Exploring Operation: 105-29=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 105-29=76 Current State: 38:[2, 76], Operations: ['12+93=105', '105-29=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 61, 28, 73, 86 ]
46
[ "61-28=33", "86-73=13", "33+13=46" ]
Current State: 46:[61, 28, 73, 86], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [73, 86, 33] Generated Node #2: [73, 86, 33] from Operation: 61-28=33 Current State: 46:[73, 86, 33], Operations: ['61-28=33'] Exploring Operation: 86-73=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 86-73=13 Current State: 46:[33, 13], Operations: ['61-28=33', '86-73=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 59, 75, 17 ]
23
[ "6*75=450", "450-59=391", "391/17=23" ]
Current State: 23:[6, 59, 75, 17], Operations: [] Exploring Operation: 6*75=450, Resulting Numbers: [59, 17, 450] Generated Node #2: [59, 17, 450] from Operation: 6*75=450 Current State: 23:[59, 17, 450], Operations: ['6*75=450'] Exploring Operation: 450-59=391, Resulting Numbers: [17, 391] Generated Node #3: [17, 391] from Operation: 450-59=391 Current State: 23:[17, 391], Operations: ['6*75=450', '450-59=391'] Exploring Operation: 391/17=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 99, 2, 69 ]
73
[ "56+69=125", "99*2=198", "198-125=73" ]
Current State: 73:[56, 99, 2, 69], Operations: [] Exploring Operation: 56+69=125, Resulting Numbers: [99, 2, 125] Generated Node #2: [99, 2, 125] from Operation: 56+69=125 Current State: 73:[99, 2, 125], Operations: ['56+69=125'] Exploring Operation: 99*2=198, Resulting Numbers: [125, 198] Generated Node #3: [125, 198] from Operation: 99*2=198 Current State: 73:[125, 198], Operations: ['56+69=125', '99*2=198'] Exploring Operation: 198-125=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 56, 13, 96, 15 ]
80
[ "96-56=40", "15-13=2", "40*2=80" ]
Current State: 80:[56, 13, 96, 15], Operations: [] Exploring Operation: 96-56=40, Resulting Numbers: [13, 15, 40] Generated Node #2: [13, 15, 40] from Operation: 96-56=40 Current State: 80:[13, 15, 40], Operations: ['96-56=40'] Exploring Operation: 15-13=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 15-13=2 Current State: 80:[40, 2], Operations: ['96-56=40', '15-13=2'] Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 41, 92, 86 ]
45
[ "80-41=39", "92-86=6", "39+6=45" ]
Current State: 45:[80, 41, 92, 86], Operations: [] Exploring Operation: 80-41=39, Resulting Numbers: [92, 86, 39] Generated Node #2: [92, 86, 39] from Operation: 80-41=39 Current State: 45:[92, 86, 39], Operations: ['80-41=39'] Exploring Operation: 92-86=6, Resulting Numbers: [39, 6] Generated Node #3: [39, 6] from Operation: 92-86=6 Current State: 45:[39, 6], Operations: ['80-41=39', '92-86=6'] Exploring Operation: 39+6=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 54, 32, 64, 2 ]
75
[ "54+32=86", "64+86=150", "150/2=75" ]
Current State: 75:[54, 32, 64, 2], Operations: [] Exploring Operation: 54+32=86, Resulting Numbers: [64, 2, 86] Generated Node #2: [64, 2, 86] from Operation: 54+32=86 Current State: 75:[64, 2, 86], Operations: ['54+32=86'] Exploring Operation: 64+86=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 64+86=150 Current State: 75:[2, 150], Operations: ['54+32=86', '64+86=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 1, 49, 99, 96 ]
47
[ "1+49=50", "99-96=3", "50-3=47" ]
Current State: 47:[1, 49, 99, 96], Operations: [] Exploring Operation: 1+49=50, Resulting Numbers: [99, 96, 50] Generated Node #2: [99, 96, 50] from Operation: 1+49=50 Current State: 47:[99, 96, 50], Operations: ['1+49=50'] Exploring Operation: 99-96=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 99-96=3 Current State: 47:[50, 3], Operations: ['1+49=50', '99-96=3'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 57, 9, 43, 28 ]
23
[ "57-9=48", "43+28=71", "71-48=23" ]
Current State: 23:[57, 9, 43, 28], Operations: [] Exploring Operation: 57-9=48, Resulting Numbers: [43, 28, 48] Generated Node #2: [43, 28, 48] from Operation: 57-9=48 Current State: 23:[43, 28, 48], Operations: ['57-9=48'] Exploring Operation: 43+28=71, Resulting Numbers: [48, 71] Generated Node #3: [48, 71] from Operation: 43+28=71 Current State: 23:[48, 71], Operations: ['57-9=48', '43+28=71'] Exploring Operation: 71-48=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 71, 71, 81, 9 ]
70
[ "71+71=142", "81-9=72", "142-72=70" ]
Current State: 70:[71, 71, 81, 9], Operations: [] Exploring Operation: 71+71=142, Resulting Numbers: [81, 9, 142] Generated Node #2: [81, 9, 142] from Operation: 71+71=142 Current State: 70:[81, 9, 142], Operations: ['71+71=142'] Exploring Operation: 81-9=72, Resulting Numbers: [142, 72] Generated Node #3: [142, 72] from Operation: 81-9=72 Current State: 70:[142, 72], Operations: ['71+71=142', '81-9=72'] Exploring Operation: 142-72=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 89, 93, 87, 47 ]
36
[ "93-89=4", "87-47=40", "40-4=36" ]
Current State: 36:[89, 93, 87, 47], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [87, 47, 4] Generated Node #2: [87, 47, 4] from Operation: 93-89=4 Current State: 36:[87, 47, 4], Operations: ['93-89=4'] Exploring Operation: 87-47=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 87-47=40 Current State: 36:[4, 40], Operations: ['93-89=4', '87-47=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 66, 8, 25 ]
11
[ "72-66=6", "25-8=17", "17-6=11" ]
Current State: 11:[72, 66, 8, 25], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [8, 25, 6] Generated Node #2: [8, 25, 6] from Operation: 72-66=6 Current State: 11:[8, 25, 6], Operations: ['72-66=6'] Exploring Operation: 25-8=17, Resulting Numbers: [6, 17] Generated Node #3: [6, 17] from Operation: 25-8=17 Current State: 11:[6, 17], Operations: ['72-66=6', '25-8=17'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 58, 7, 41 ]
12
[ "58-54=4", "7+41=48", "48/4=12" ]
Current State: 12:[54, 58, 7, 41], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [7, 41, 4] Generated Node #2: [7, 41, 4] from Operation: 58-54=4 Current State: 12:[7, 41, 4], Operations: ['58-54=4'] Exploring Operation: 7+41=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 7+41=48 Current State: 12:[4, 48], Operations: ['58-54=4', '7+41=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 25, 70, 13, 72 ]
76
[ "25+13=38", "72-70=2", "38*2=76" ]
Current State: 76:[25, 70, 13, 72], Operations: [] Exploring Operation: 25+13=38, Resulting Numbers: [70, 72, 38] Generated Node #2: [70, 72, 38] from Operation: 25+13=38 Current State: 76:[70, 72, 38], Operations: ['25+13=38'] Exploring Operation: 72-70=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 72-70=2 Current State: 76:[38, 2], Operations: ['25+13=38', '72-70=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 77, 73, 68, 11 ]
71
[ "77+73=150", "68+11=79", "150-79=71" ]
Current State: 71:[77, 73, 68, 11], Operations: [] Exploring Operation: 77+73=150, Resulting Numbers: [68, 11, 150] Generated Node #2: [68, 11, 150] from Operation: 77+73=150 Current State: 71:[68, 11, 150], Operations: ['77+73=150'] Exploring Operation: 68+11=79, Resulting Numbers: [150, 79] Generated Node #3: [150, 79] from Operation: 68+11=79 Current State: 71:[150, 79], Operations: ['77+73=150', '68+11=79'] Exploring Operation: 150-79=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 33, 55, 16 ]
41
[ "15*55=825", "825/33=25", "16+25=41" ]
Current State: 41:[15, 33, 55, 16], Operations: [] Exploring Operation: 15*55=825, Resulting Numbers: [33, 16, 825] Generated Node #2: [33, 16, 825] from Operation: 15*55=825 Current State: 41:[33, 16, 825], Operations: ['15*55=825'] Exploring Operation: 825/33=25, Resulting Numbers: [16, 25] Generated Node #3: [16, 25] from Operation: 825/33=25 Current State: 41:[16, 25], Operations: ['15*55=825', '825/33=25'] Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 25, 46, 35 ]
44
[ "45+25=70", "70/35=2", "46-2=44" ]
Current State: 44:[45, 25, 46, 35], Operations: [] Exploring Operation: 45+25=70, Resulting Numbers: [46, 35, 70] Generated Node #2: [46, 35, 70] from Operation: 45+25=70 Current State: 44:[46, 35, 70], Operations: ['45+25=70'] Exploring Operation: 70/35=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 70/35=2 Current State: 44:[46, 2], Operations: ['45+25=70', '70/35=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 39, 74, 37, 40 ]
41
[ "74/37=2", "40*2=80", "80-39=41" ]
Current State: 41:[39, 74, 37, 40], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [39, 40, 2] Generated Node #2: [39, 40, 2] from Operation: 74/37=2 Current State: 41:[39, 40, 2], Operations: ['74/37=2'] Exploring Operation: 40*2=80, Resulting Numbers: [39, 80] Generated Node #3: [39, 80] from Operation: 40*2=80 Current State: 41:[39, 80], Operations: ['74/37=2', '40*2=80'] Exploring Operation: 80-39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 53, 81, 25, 93 ]
95
[ "81+25=106", "106/53=2", "93+2=95" ]
Current State: 95:[53, 81, 25, 93], Operations: [] Exploring Operation: 81+25=106, Resulting Numbers: [53, 93, 106] Generated Node #2: [53, 93, 106] from Operation: 81+25=106 Current State: 95:[53, 93, 106], Operations: ['81+25=106'] Exploring Operation: 106/53=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 106/53=2 Current State: 95:[93, 2], Operations: ['81+25=106', '106/53=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 32, 62, 43, 87 ]
14
[ "62-32=30", "87-43=44", "44-30=14" ]
Current State: 14:[32, 62, 43, 87], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [43, 87, 30] Generated Node #2: [43, 87, 30] from Operation: 62-32=30 Current State: 14:[43, 87, 30], Operations: ['62-32=30'] Exploring Operation: 87-43=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 87-43=44 Current State: 14:[30, 44], Operations: ['62-32=30', '87-43=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 81, 90, 3, 26 ]
37
[ "81/3=27", "90-26=64", "64-27=37" ]
Current State: 37:[81, 90, 3, 26], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [90, 26, 27] Generated Node #2: [90, 26, 27] from Operation: 81/3=27 Current State: 37:[90, 26, 27], Operations: ['81/3=27'] Exploring Operation: 90-26=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 90-26=64 Current State: 37:[27, 64], Operations: ['81/3=27', '90-26=64'] Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 28, 29, 46, 44 ]
43
[ "46-44=2", "28/2=14", "29+14=43" ]
Current State: 43:[28, 29, 46, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [28, 29, 2] Generated Node #2: [28, 29, 2] from Operation: 46-44=2 Current State: 43:[28, 29, 2], Operations: ['46-44=2'] Exploring Operation: 28/2=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 28/2=14 Current State: 43:[29, 14], Operations: ['46-44=2', '28/2=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 59, 51, 60 ]
54
[ "4+59=63", "60-51=9", "63-9=54" ]
Current State: 54:[4, 59, 51, 60], Operations: [] Exploring Operation: 4+59=63, Resulting Numbers: [51, 60, 63] Generated Node #2: [51, 60, 63] from Operation: 4+59=63 Current State: 54:[51, 60, 63], Operations: ['4+59=63'] Exploring Operation: 60-51=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 60-51=9 Current State: 54:[63, 9], Operations: ['4+59=63', '60-51=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 77, 43, 49, 21 ]
20
[ "43*21=903", "77+903=980", "980/49=20" ]
Current State: 20:[77, 43, 49, 21], Operations: [] Exploring Operation: 43*21=903, Resulting Numbers: [77, 49, 903] Generated Node #2: [77, 49, 903] from Operation: 43*21=903 Current State: 20:[77, 49, 903], Operations: ['43*21=903'] Exploring Operation: 77+903=980, Resulting Numbers: [49, 980] Generated Node #3: [49, 980] from Operation: 77+903=980 Current State: 20:[49, 980], Operations: ['43*21=903', '77+903=980'] Exploring Operation: 980/49=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 20, 92, 34 ]
61
[ "90*34=3060", "3060/20=153", "153-92=61" ]
Current State: 61:[90, 20, 92, 34], Operations: [] Exploring Operation: 90*34=3060, Resulting Numbers: [20, 92, 3060] Generated Node #2: [20, 92, 3060] from Operation: 90*34=3060 Current State: 61:[20, 92, 3060], Operations: ['90*34=3060'] Exploring Operation: 3060/20=153, Resulting Numbers: [92, 153] Generated Node #3: [92, 153] from Operation: 3060/20=153 Current State: 61:[92, 153], Operations: ['90*34=3060', '3060/20=153'] Exploring Operation: 153-92=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 33, 95, 90, 7 ]
68
[ "95-90=5", "7*5=35", "33+35=68" ]
Current State: 68:[33, 95, 90, 7], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [33, 7, 5] Generated Node #2: [33, 7, 5] from Operation: 95-90=5 Current State: 68:[33, 7, 5], Operations: ['95-90=5'] Exploring Operation: 7*5=35, Resulting Numbers: [33, 35] Generated Node #3: [33, 35] from Operation: 7*5=35 Current State: 68:[33, 35], Operations: ['95-90=5', '7*5=35'] Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 18, 75, 1 ]
71
[ "21-18=3", "75-1=74", "74-3=71" ]
Current State: 71:[21, 18, 75, 1], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [75, 1, 3] Generated Node #2: [75, 1, 3] from Operation: 21-18=3 Current State: 71:[75, 1, 3], Operations: ['21-18=3'] Exploring Operation: 75-1=74, Resulting Numbers: [3, 74] Generated Node #3: [3, 74] from Operation: 75-1=74 Current State: 71:[3, 74], Operations: ['21-18=3', '75-1=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 80, 84, 83, 6 ]
66
[ "83-80=3", "6*3=18", "84-18=66" ]
Current State: 66:[80, 84, 83, 6], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [84, 6, 3] Generated Node #2: [84, 6, 3] from Operation: 83-80=3 Current State: 66:[84, 6, 3], Operations: ['83-80=3'] Exploring Operation: 6*3=18, Resulting Numbers: [84, 18] Generated Node #3: [84, 18] from Operation: 6*3=18 Current State: 66:[84, 18], Operations: ['83-80=3', '6*3=18'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 97, 26, 85, 59 ]
45
[ "97-26=71", "85-59=26", "71-26=45" ]
Current State: 45:[97, 26, 85, 59], Operations: [] Exploring Operation: 97-26=71, Resulting Numbers: [85, 59, 71] Generated Node #2: [85, 59, 71] from Operation: 97-26=71 Current State: 45:[85, 59, 71], Operations: ['97-26=71'] Exploring Operation: 85-59=26, Resulting Numbers: [71, 26] Generated Node #3: [71, 26] from Operation: 85-59=26 Current State: 45:[71, 26], Operations: ['97-26=71', '85-59=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 26, 52, 13 ]
99
[ "26*52=1352", "1352/13=104", "104-5=99" ]
Current State: 99:[5, 26, 52, 13], Operations: [] Exploring Operation: 26*52=1352, Resulting Numbers: [5, 13, 1352] Generated Node #2: [5, 13, 1352] from Operation: 26*52=1352 Current State: 99:[5, 13, 1352], Operations: ['26*52=1352'] Exploring Operation: 1352/13=104, Resulting Numbers: [5, 104] Generated Node #3: [5, 104] from Operation: 1352/13=104 Current State: 99:[5, 104], Operations: ['26*52=1352', '1352/13=104'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 2, 90, 41 ]
64
[ "79+90=169", "169-41=128", "128/2=64" ]
Current State: 64:[79, 2, 90, 41], Operations: [] Exploring Operation: 79+90=169, Resulting Numbers: [2, 41, 169] Generated Node #2: [2, 41, 169] from Operation: 79+90=169 Current State: 64:[2, 41, 169], Operations: ['79+90=169'] Exploring Operation: 169-41=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 169-41=128 Current State: 64:[2, 128], Operations: ['79+90=169', '169-41=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 3, 72, 29 ]
45
[ "40+29=69", "72/3=24", "69-24=45" ]
Current State: 45:[40, 3, 72, 29], Operations: [] Exploring Operation: 40+29=69, Resulting Numbers: [3, 72, 69] Generated Node #2: [3, 72, 69] from Operation: 40+29=69 Current State: 45:[3, 72, 69], Operations: ['40+29=69'] Exploring Operation: 72/3=24, Resulting Numbers: [69, 24] Generated Node #3: [69, 24] from Operation: 72/3=24 Current State: 45:[69, 24], Operations: ['40+29=69', '72/3=24'] Exploring Operation: 69-24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 2, 9, 5 ]
30
[ "5-2=3", "63/3=21", "9+21=30" ]
Current State: 30:[63, 2, 9, 5], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [63, 9, 3] Generated Node #2: [63, 9, 3] from Operation: 5-2=3 Current State: 30:[63, 9, 3], Operations: ['5-2=3'] Exploring Operation: 63/3=21, Resulting Numbers: [9, 21] Generated Node #3: [9, 21] from Operation: 63/3=21 Current State: 30:[9, 21], Operations: ['5-2=3', '63/3=21'] Exploring Operation: 9+21=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 88, 85, 98, 3 ]
49
[ "98-85=13", "3*13=39", "88-39=49" ]
Current State: 49:[88, 85, 98, 3], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [88, 3, 13] Generated Node #2: [88, 3, 13] from Operation: 98-85=13 Current State: 49:[88, 3, 13], Operations: ['98-85=13'] Exploring Operation: 3*13=39, Resulting Numbers: [88, 39] Generated Node #3: [88, 39] from Operation: 3*13=39 Current State: 49:[88, 39], Operations: ['98-85=13', '3*13=39'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 98, 83, 40 ]
55
[ "1*98=98", "83-40=43", "98-43=55" ]
Current State: 55:[1, 98, 83, 40], Operations: [] Exploring Operation: 1*98=98, Resulting Numbers: [83, 40, 98] Generated Node #2: [83, 40, 98] from Operation: 1*98=98 Current State: 55:[83, 40, 98], Operations: ['1*98=98'] Exploring Operation: 83-40=43, Resulting Numbers: [98, 43] Generated Node #3: [98, 43] from Operation: 83-40=43 Current State: 55:[98, 43], Operations: ['1*98=98', '83-40=43'] Exploring Operation: 98-43=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 44, 72, 54, 92 ]
66
[ "72-44=28", "92-54=38", "28+38=66" ]
Current State: 66:[44, 72, 54, 92], Operations: [] Exploring Operation: 72-44=28, Resulting Numbers: [54, 92, 28] Generated Node #2: [54, 92, 28] from Operation: 72-44=28 Current State: 66:[54, 92, 28], Operations: ['72-44=28'] Exploring Operation: 92-54=38, Resulting Numbers: [28, 38] Generated Node #3: [28, 38] from Operation: 92-54=38 Current State: 66:[28, 38], Operations: ['72-44=28', '92-54=38'] Exploring Operation: 28+38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 76, 89, 24, 7 ]
67
[ "89-76=13", "7*13=91", "91-24=67" ]
Current State: 67:[76, 89, 24, 7], Operations: [] Exploring Operation: 89-76=13, Resulting Numbers: [24, 7, 13] Generated Node #2: [24, 7, 13] from Operation: 89-76=13 Current State: 67:[24, 7, 13], Operations: ['89-76=13'] Exploring Operation: 7*13=91, Resulting Numbers: [24, 91] Generated Node #3: [24, 91] from Operation: 7*13=91 Current State: 67:[24, 91], Operations: ['89-76=13', '7*13=91'] Exploring Operation: 91-24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 95, 27, 10 ]
39
[ "25+95=120", "120/10=12", "27+12=39" ]
Current State: 39:[25, 95, 27, 10], Operations: [] Exploring Operation: 25+95=120, Resulting Numbers: [27, 10, 120] Generated Node #2: [27, 10, 120] from Operation: 25+95=120 Current State: 39:[27, 10, 120], Operations: ['25+95=120'] Exploring Operation: 120/10=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 120/10=12 Current State: 39:[27, 12], Operations: ['25+95=120', '120/10=12'] Exploring Operation: 27+12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 99, 15, 20, 24 ]
67
[ "20*24=480", "480/15=32", "99-32=67" ]
Current State: 67:[99, 15, 20, 24], Operations: [] Exploring Operation: 20*24=480, Resulting Numbers: [99, 15, 480] Generated Node #2: [99, 15, 480] from Operation: 20*24=480 Current State: 67:[99, 15, 480], Operations: ['20*24=480'] Exploring Operation: 480/15=32, Resulting Numbers: [99, 32] Generated Node #3: [99, 32] from Operation: 480/15=32 Current State: 67:[99, 32], Operations: ['20*24=480', '480/15=32'] Exploring Operation: 99-32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 7, 30, 41 ]
29
[ "6*7=42", "30+41=71", "71-42=29" ]
Current State: 29:[6, 7, 30, 41], Operations: [] Exploring Operation: 6*7=42, Resulting Numbers: [30, 41, 42] Generated Node #2: [30, 41, 42] from Operation: 6*7=42 Current State: 29:[30, 41, 42], Operations: ['6*7=42'] Exploring Operation: 30+41=71, Resulting Numbers: [42, 71] Generated Node #3: [42, 71] from Operation: 30+41=71 Current State: 29:[42, 71], Operations: ['6*7=42', '30+41=71'] Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 89, 9, 29, 69 ]
81
[ "89-29=60", "69-60=9", "9*9=81" ]
Current State: 81:[89, 9, 29, 69], Operations: [] Exploring Operation: 89-29=60, Resulting Numbers: [9, 69, 60] Generated Node #2: [9, 69, 60] from Operation: 89-29=60 Current State: 81:[9, 69, 60], Operations: ['89-29=60'] Exploring Operation: 69-60=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 69-60=9 Current State: 81:[9, 9], Operations: ['89-29=60', '69-60=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 73, 87, 80 ]
53
[ "87-83=4", "80/4=20", "73-20=53" ]
Current State: 53:[83, 73, 87, 80], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [73, 80, 4] Generated Node #2: [73, 80, 4] from Operation: 87-83=4 Current State: 53:[73, 80, 4], Operations: ['87-83=4'] Exploring Operation: 80/4=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 80/4=20 Current State: 53:[73, 20], Operations: ['87-83=4', '80/4=20'] Exploring Operation: 73-20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 66, 22, 4, 85 ]
85
[ "66/22=3", "4-3=1", "85*1=85" ]
Current State: 85:[66, 22, 4, 85], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [4, 85, 3] Generated Node #2: [4, 85, 3] from Operation: 66/22=3 Current State: 85:[4, 85, 3], Operations: ['66/22=3'] Exploring Operation: 4-3=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 4-3=1 Current State: 85:[85, 1], Operations: ['66/22=3', '4-3=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 40, 69, 90 ]
73
[ "92-40=52", "90-69=21", "52+21=73" ]
Current State: 73:[92, 40, 69, 90], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [69, 90, 52] Generated Node #2: [69, 90, 52] from Operation: 92-40=52 Current State: 73:[69, 90, 52], Operations: ['92-40=52'] Exploring Operation: 90-69=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 90-69=21 Current State: 73:[52, 21], Operations: ['92-40=52', '90-69=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 69, 9, 77, 89 ]
23
[ "9+77=86", "89-86=3", "69/3=23" ]
Current State: 23:[69, 9, 77, 89], Operations: [] Exploring Operation: 9+77=86, Resulting Numbers: [69, 89, 86] Generated Node #2: [69, 89, 86] from Operation: 9+77=86 Current State: 23:[69, 89, 86], Operations: ['9+77=86'] Exploring Operation: 89-86=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 89-86=3 Current State: 23:[69, 3], Operations: ['9+77=86', '89-86=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 23, 6, 6 ]
54
[ "23-20=3", "6+3=9", "6*9=54" ]
Current State: 54:[20, 23, 6, 6], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [6, 6, 3] Generated Node #2: [6, 6, 3] from Operation: 23-20=3 Current State: 54:[6, 6, 3], Operations: ['23-20=3'] Exploring Operation: 6+3=9, Resulting Numbers: [9] 9,54 equal: Goal Reached Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 66, 90, 78 ]
52
[ "9+90=99", "66*78=5148", "5148/99=52" ]
Current State: 52:[9, 66, 90, 78], Operations: [] Exploring Operation: 9+90=99, Resulting Numbers: [66, 78, 99] Generated Node #2: [66, 78, 99] from Operation: 9+90=99 Current State: 52:[66, 78, 99], Operations: ['9+90=99'] Exploring Operation: 66*78=5148, Resulting Numbers: [99, 5148] Generated Node #3: [99, 5148] from Operation: 66*78=5148 Current State: 52:[99, 5148], Operations: ['9+90=99', '66*78=5148'] Exploring Operation: 5148/99=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 21, 24, 97, 70 ]
24
[ "24-21=3", "97-70=27", "27-3=24" ]
Current State: 24:[21, 24, 97, 70], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [97, 70, 3] Generated Node #2: [97, 70, 3] from Operation: 24-21=3 Current State: 24:[97, 70, 3], Operations: ['24-21=3'] Exploring Operation: 97-70=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 97-70=27 Current State: 24:[3, 27], Operations: ['24-21=3', '97-70=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 72, 66, 82 ]
45
[ "10*72=720", "82-66=16", "720/16=45" ]
Current State: 45:[10, 72, 66, 82], Operations: [] Exploring Operation: 10*72=720, Resulting Numbers: [66, 82, 720] Generated Node #2: [66, 82, 720] from Operation: 10*72=720 Current State: 45:[66, 82, 720], Operations: ['10*72=720'] Exploring Operation: 82-66=16, Resulting Numbers: [720, 16] Generated Node #3: [720, 16] from Operation: 82-66=16 Current State: 45:[720, 16], Operations: ['10*72=720', '82-66=16'] Exploring Operation: 720/16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 67, 14, 49, 54 ]
76
[ "67+14=81", "54-49=5", "81-5=76" ]
Current State: 76:[67, 14, 49, 54], Operations: [] Exploring Operation: 67+14=81, Resulting Numbers: [49, 54, 81] Generated Node #2: [49, 54, 81] from Operation: 67+14=81 Current State: 76:[49, 54, 81], Operations: ['67+14=81'] Exploring Operation: 54-49=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 54-49=5 Current State: 76:[81, 5], Operations: ['67+14=81', '54-49=5'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 34, 68, 55, 40 ]
30
[ "68/34=2", "55-40=15", "2*15=30" ]
Current State: 30:[34, 68, 55, 40], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [55, 40, 2] Generated Node #2: [55, 40, 2] from Operation: 68/34=2 Current State: 30:[55, 40, 2], Operations: ['68/34=2'] Exploring Operation: 55-40=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 55-40=15 Current State: 30:[2, 15], Operations: ['68/34=2', '55-40=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 39, 51, 53 ]
59
[ "96-39=57", "53-51=2", "57+2=59" ]
Current State: 59:[96, 39, 51, 53], Operations: [] Exploring Operation: 96-39=57, Resulting Numbers: [51, 53, 57] Generated Node #2: [51, 53, 57] from Operation: 96-39=57 Current State: 59:[51, 53, 57], Operations: ['96-39=57'] Exploring Operation: 53-51=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 53-51=2 Current State: 59:[57, 2], Operations: ['96-39=57', '53-51=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 89, 2, 36, 33 ]
13
[ "89-36=53", "2*33=66", "66-53=13" ]
Current State: 13:[89, 2, 36, 33], Operations: [] Exploring Operation: 89-36=53, Resulting Numbers: [2, 33, 53] Generated Node #2: [2, 33, 53] from Operation: 89-36=53 Current State: 13:[2, 33, 53], Operations: ['89-36=53'] Exploring Operation: 2*33=66, Resulting Numbers: [53, 66] Generated Node #3: [53, 66] from Operation: 2*33=66 Current State: 13:[53, 66], Operations: ['89-36=53', '2*33=66'] Exploring Operation: 66-53=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 85, 42, 18, 10 ]
94
[ "85*10=850", "42*18=756", "850-756=94" ]
Current State: 94:[85, 42, 18, 10], Operations: [] Exploring Operation: 85*10=850, Resulting Numbers: [42, 18, 850] Generated Node #2: [42, 18, 850] from Operation: 85*10=850 Current State: 94:[42, 18, 850], Operations: ['85*10=850'] Exploring Operation: 42*18=756, Resulting Numbers: [850, 756] Generated Node #3: [850, 756] from Operation: 42*18=756 Current State: 94:[850, 756], Operations: ['85*10=850', '42*18=756'] Exploring Operation: 850-756=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 55, 38, 28, 54 ]
43
[ "55-38=17", "54-28=26", "17+26=43" ]
Current State: 43:[55, 38, 28, 54], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [28, 54, 17] Generated Node #2: [28, 54, 17] from Operation: 55-38=17 Current State: 43:[28, 54, 17], Operations: ['55-38=17'] Exploring Operation: 54-28=26, Resulting Numbers: [17, 26] Generated Node #3: [17, 26] from Operation: 54-28=26 Current State: 43:[17, 26], Operations: ['55-38=17', '54-28=26'] Exploring Operation: 17+26=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 36, 58, 68 ]
18
[ "63*36=2268", "58+68=126", "2268/126=18" ]
Current State: 18:[63, 36, 58, 68], Operations: [] Exploring Operation: 63*36=2268, Resulting Numbers: [58, 68, 2268] Generated Node #2: [58, 68, 2268] from Operation: 63*36=2268 Current State: 18:[58, 68, 2268], Operations: ['63*36=2268'] Exploring Operation: 58+68=126, Resulting Numbers: [2268, 126] Generated Node #3: [2268, 126] from Operation: 58+68=126 Current State: 18:[2268, 126], Operations: ['63*36=2268', '58+68=126'] Exploring Operation: 2268/126=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 88, 32, 14 ]
79
[ "88-27=61", "32-14=18", "61+18=79" ]
Current State: 79:[27, 88, 32, 14], Operations: [] Exploring Operation: 88-27=61, Resulting Numbers: [32, 14, 61] Generated Node #2: [32, 14, 61] from Operation: 88-27=61 Current State: 79:[32, 14, 61], Operations: ['88-27=61'] Exploring Operation: 32-14=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 32-14=18 Current State: 79:[61, 18], Operations: ['88-27=61', '32-14=18'] Exploring Operation: 61+18=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 14, 31, 71, 79 ]
81
[ "79-71=8", "14*8=112", "112-31=81" ]
Current State: 81:[14, 31, 71, 79], Operations: [] Exploring Operation: 79-71=8, Resulting Numbers: [14, 31, 8] Generated Node #2: [14, 31, 8] from Operation: 79-71=8 Current State: 81:[14, 31, 8], Operations: ['79-71=8'] Exploring Operation: 14*8=112, Resulting Numbers: [31, 112] Generated Node #3: [31, 112] from Operation: 14*8=112 Current State: 81:[31, 112], Operations: ['79-71=8', '14*8=112'] Exploring Operation: 112-31=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 58, 39, 53, 77 ]
43
[ "58-39=19", "77-53=24", "19+24=43" ]
Current State: 43:[58, 39, 53, 77], Operations: [] Exploring Operation: 58-39=19, Resulting Numbers: [53, 77, 19] Generated Node #2: [53, 77, 19] from Operation: 58-39=19 Current State: 43:[53, 77, 19], Operations: ['58-39=19'] Exploring Operation: 77-53=24, Resulting Numbers: [19, 24] Generated Node #3: [19, 24] from Operation: 77-53=24 Current State: 43:[19, 24], Operations: ['58-39=19', '77-53=24'] Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 36, 41, 80 ]
87
[ "84-36=48", "80-41=39", "48+39=87" ]
Current State: 87:[84, 36, 41, 80], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [41, 80, 48] Generated Node #2: [41, 80, 48] from Operation: 84-36=48 Current State: 87:[41, 80, 48], Operations: ['84-36=48'] Exploring Operation: 80-41=39, Resulting Numbers: [48, 39] Generated Node #3: [48, 39] from Operation: 80-41=39 Current State: 87:[48, 39], Operations: ['84-36=48', '80-41=39'] Exploring Operation: 48+39=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 39, 54, 83, 40 ]
50
[ "39+54=93", "83-40=43", "93-43=50" ]
Current State: 50:[39, 54, 83, 40], Operations: [] Exploring Operation: 39+54=93, Resulting Numbers: [83, 40, 93] Generated Node #2: [83, 40, 93] from Operation: 39+54=93 Current State: 50:[83, 40, 93], Operations: ['39+54=93'] Exploring Operation: 83-40=43, Resulting Numbers: [93, 43] Generated Node #3: [93, 43] from Operation: 83-40=43 Current State: 50:[93, 43], Operations: ['39+54=93', '83-40=43'] Exploring Operation: 93-43=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 27, 30, 3, 98 ]
19
[ "98-27=71", "30*3=90", "90-71=19" ]
Current State: 19:[27, 30, 3, 98], Operations: [] Exploring Operation: 98-27=71, Resulting Numbers: [30, 3, 71] Generated Node #2: [30, 3, 71] from Operation: 98-27=71 Current State: 19:[30, 3, 71], Operations: ['98-27=71'] Exploring Operation: 30*3=90, Resulting Numbers: [71, 90] Generated Node #3: [71, 90] from Operation: 30*3=90 Current State: 19:[71, 90], Operations: ['98-27=71', '30*3=90'] Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 9, 78, 78 ]
63
[ "84+9=93", "78+78=156", "156-93=63" ]
Current State: 63:[84, 9, 78, 78], Operations: [] Exploring Operation: 84+9=93, Resulting Numbers: [78, 78, 93] Generated Node #2: [78, 78, 93] from Operation: 84+9=93 Current State: 63:[78, 78, 93], Operations: ['84+9=93'] Exploring Operation: 78+78=156, Resulting Numbers: [93, 156] Generated Node #3: [93, 156] from Operation: 78+78=156 Current State: 63:[93, 156], Operations: ['84+9=93', '78+78=156'] Exploring Operation: 156-93=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 11, 44, 85, 79 ]
41
[ "44/11=4", "85+79=164", "164/4=41" ]
Current State: 41:[11, 44, 85, 79], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [85, 79, 4] Generated Node #2: [85, 79, 4] from Operation: 44/11=4 Current State: 41:[85, 79, 4], Operations: ['44/11=4'] Exploring Operation: 85+79=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 85+79=164 Current State: 41:[4, 164], Operations: ['44/11=4', '85+79=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 78, 98, 80, 52 ]
12
[ "98-80=18", "52*18=936", "936/78=12" ]
Current State: 12:[78, 98, 80, 52], Operations: [] Exploring Operation: 98-80=18, Resulting Numbers: [78, 52, 18] Generated Node #2: [78, 52, 18] from Operation: 98-80=18 Current State: 12:[78, 52, 18], Operations: ['98-80=18'] Exploring Operation: 52*18=936, Resulting Numbers: [78, 936] Generated Node #3: [78, 936] from Operation: 52*18=936 Current State: 12:[78, 936], Operations: ['98-80=18', '52*18=936'] Exploring Operation: 936/78=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 49, 37, 99, 35 ]
25
[ "99-49=50", "37-35=2", "50/2=25" ]
Current State: 25:[49, 37, 99, 35], Operations: [] Exploring Operation: 99-49=50, Resulting Numbers: [37, 35, 50] Generated Node #2: [37, 35, 50] from Operation: 99-49=50 Current State: 25:[37, 35, 50], Operations: ['99-49=50'] Exploring Operation: 37-35=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 37-35=2 Current State: 25:[50, 2], Operations: ['99-49=50', '37-35=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 15, 48, 47 ]
91
[ "6*15=90", "48-47=1", "90+1=91" ]
Current State: 91:[6, 15, 48, 47], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [48, 47, 90] Generated Node #2: [48, 47, 90] from Operation: 6*15=90 Current State: 91:[48, 47, 90], Operations: ['6*15=90'] Exploring Operation: 48-47=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 48-47=1 Current State: 91:[90, 1], Operations: ['6*15=90', '48-47=1'] Exploring Operation: 90+1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 86, 32, 93 ]
44
[ "86-5=81", "32+93=125", "125-81=44" ]
Current State: 44:[5, 86, 32, 93], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [32, 93, 81] Generated Node #2: [32, 93, 81] from Operation: 86-5=81 Current State: 44:[32, 93, 81], Operations: ['86-5=81'] Exploring Operation: 32+93=125, Resulting Numbers: [81, 125] Generated Node #3: [81, 125] from Operation: 32+93=125 Current State: 44:[81, 125], Operations: ['86-5=81', '32+93=125'] Exploring Operation: 125-81=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 61, 18, 73 ]
99
[ "61-18=43", "4*43=172", "172-73=99" ]
Current State: 99:[4, 61, 18, 73], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [4, 73, 43] Generated Node #2: [4, 73, 43] from Operation: 61-18=43 Current State: 99:[4, 73, 43], Operations: ['61-18=43'] Exploring Operation: 4*43=172, Resulting Numbers: [73, 172] Generated Node #3: [73, 172] from Operation: 4*43=172 Current State: 99:[73, 172], Operations: ['61-18=43', '4*43=172'] Exploring Operation: 172-73=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 53, 28, 82, 9 ]
98
[ "53-28=25", "82-9=73", "25+73=98" ]
Current State: 98:[53, 28, 82, 9], Operations: [] Exploring Operation: 53-28=25, Resulting Numbers: [82, 9, 25] Generated Node #2: [82, 9, 25] from Operation: 53-28=25 Current State: 98:[82, 9, 25], Operations: ['53-28=25'] Exploring Operation: 82-9=73, Resulting Numbers: [25, 73] Generated Node #3: [25, 73] from Operation: 82-9=73 Current State: 98:[25, 73], Operations: ['53-28=25', '82-9=73'] Exploring Operation: 25+73=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 8, 5, 31, 91 ]
57
[ "8-5=3", "91-31=60", "60-3=57" ]
Current State: 57:[8, 5, 31, 91], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [31, 91, 3] Generated Node #2: [31, 91, 3] from Operation: 8-5=3 Current State: 57:[31, 91, 3], Operations: ['8-5=3'] Exploring Operation: 91-31=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 91-31=60 Current State: 57:[3, 60], Operations: ['8-5=3', '91-31=60'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 53, 87, 37, 58 ]
98
[ "58-53=5", "37*5=185", "185-87=98" ]
Current State: 98:[53, 87, 37, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [87, 37, 5] Generated Node #2: [87, 37, 5] from Operation: 58-53=5 Current State: 98:[87, 37, 5], Operations: ['58-53=5'] Exploring Operation: 37*5=185, Resulting Numbers: [87, 185] Generated Node #3: [87, 185] from Operation: 37*5=185 Current State: 98:[87, 185], Operations: ['58-53=5', '37*5=185'] Exploring Operation: 185-87=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 36, 24, 69, 27 ]
99
[ "69-36=33", "27-24=3", "33*3=99" ]
Current State: 99:[36, 24, 69, 27], Operations: [] Exploring Operation: 69-36=33, Resulting Numbers: [24, 27, 33] Generated Node #2: [24, 27, 33] from Operation: 69-36=33 Current State: 99:[24, 27, 33], Operations: ['69-36=33'] Exploring Operation: 27-24=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 27-24=3 Current State: 99:[33, 3], Operations: ['69-36=33', '27-24=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 68, 66, 16 ]
33
[ "68-66=2", "16*2=32", "1+32=33" ]
Current State: 33:[1, 68, 66, 16], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [1, 16, 2] Generated Node #2: [1, 16, 2] from Operation: 68-66=2 Current State: 33:[1, 16, 2], Operations: ['68-66=2'] Exploring Operation: 16*2=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 16*2=32 Current State: 33:[1, 32], Operations: ['68-66=2', '16*2=32'] Exploring Operation: 1+32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 65, 35, 82 ]
41
[ "71-65=6", "82-35=47", "47-6=41" ]
Current State: 41:[71, 65, 35, 82], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [35, 82, 6] Generated Node #2: [35, 82, 6] from Operation: 71-65=6 Current State: 41:[35, 82, 6], Operations: ['71-65=6'] Exploring Operation: 82-35=47, Resulting Numbers: [6, 47] Generated Node #3: [6, 47] from Operation: 82-35=47 Current State: 41:[6, 47], Operations: ['71-65=6', '82-35=47'] Exploring Operation: 47-6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 19, 32, 34 ]
46
[ "34-32=2", "54/2=27", "19+27=46" ]
Current State: 46:[54, 19, 32, 34], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [54, 19, 2] Generated Node #2: [54, 19, 2] from Operation: 34-32=2 Current State: 46:[54, 19, 2], Operations: ['34-32=2'] Exploring Operation: 54/2=27, Resulting Numbers: [19, 27] Generated Node #3: [19, 27] from Operation: 54/2=27 Current State: 46:[19, 27], Operations: ['34-32=2', '54/2=27'] Exploring Operation: 19+27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 63, 57, 69 ]
64
[ "63+57=120", "120/24=5", "69-5=64" ]
Current State: 64:[24, 63, 57, 69], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [24, 69, 120] Generated Node #2: [24, 69, 120] from Operation: 63+57=120 Current State: 64:[24, 69, 120], Operations: ['63+57=120'] Exploring Operation: 120/24=5, Resulting Numbers: [69, 5] Generated Node #3: [69, 5] from Operation: 120/24=5 Current State: 64:[69, 5], Operations: ['63+57=120', '120/24=5'] Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 3, 35, 40 ]
98
[ "31*3=93", "40-35=5", "93+5=98" ]
Current State: 98:[31, 3, 35, 40], Operations: [] Exploring Operation: 31*3=93, Resulting Numbers: [35, 40, 93] Generated Node #2: [35, 40, 93] from Operation: 31*3=93 Current State: 98:[35, 40, 93], Operations: ['31*3=93'] Exploring Operation: 40-35=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 40-35=5 Current State: 98:[93, 5], Operations: ['31*3=93', '40-35=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 21, 3, 59 ]
55
[ "59-11=48", "21/3=7", "48+7=55" ]
Current State: 55:[11, 21, 3, 59], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [21, 3, 48] Generated Node #2: [21, 3, 48] from Operation: 59-11=48 Current State: 55:[21, 3, 48], Operations: ['59-11=48'] Exploring Operation: 21/3=7, Resulting Numbers: [48, 7] Generated Node #3: [48, 7] from Operation: 21/3=7 Current State: 55:[48, 7], Operations: ['59-11=48', '21/3=7'] Exploring Operation: 48+7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 99, 22, 88, 3 ]
100
[ "99-3=96", "88/22=4", "96+4=100" ]
Current State: 100:[99, 22, 88, 3], Operations: [] Exploring Operation: 99-3=96, Resulting Numbers: [22, 88, 96] Generated Node #2: [22, 88, 96] from Operation: 99-3=96 Current State: 100:[22, 88, 96], Operations: ['99-3=96'] Exploring Operation: 88/22=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 88/22=4 Current State: 100:[96, 4], Operations: ['99-3=96', '88/22=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 56, 23, 51, 98 ]
100
[ "51-23=28", "56/28=2", "98+2=100" ]
Current State: 100:[56, 23, 51, 98], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [56, 98, 28] Generated Node #2: [56, 98, 28] from Operation: 51-23=28 Current State: 100:[56, 98, 28], Operations: ['51-23=28'] Exploring Operation: 56/28=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 56/28=2 Current State: 100:[98, 2], Operations: ['51-23=28', '56/28=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 95, 54, 82 ]
48
[ "95-7=88", "54+82=136", "136-88=48" ]
Current State: 48:[7, 95, 54, 82], Operations: [] Exploring Operation: 95-7=88, Resulting Numbers: [54, 82, 88] Generated Node #2: [54, 82, 88] from Operation: 95-7=88 Current State: 48:[54, 82, 88], Operations: ['95-7=88'] Exploring Operation: 54+82=136, Resulting Numbers: [88, 136] Generated Node #3: [88, 136] from Operation: 54+82=136 Current State: 48:[88, 136], Operations: ['95-7=88', '54+82=136'] Exploring Operation: 136-88=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 21, 47, 38 ]
32
[ "79+47=126", "126/21=6", "38-6=32" ]
Current State: 32:[79, 21, 47, 38], Operations: [] Exploring Operation: 79+47=126, Resulting Numbers: [21, 38, 126] Generated Node #2: [21, 38, 126] from Operation: 79+47=126 Current State: 32:[21, 38, 126], Operations: ['79+47=126'] Exploring Operation: 126/21=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 126/21=6 Current State: 32:[38, 6], Operations: ['79+47=126', '126/21=6'] Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 97, 50, 85, 65 ]
94
[ "85+65=150", "150/50=3", "97-3=94" ]
Current State: 94:[97, 50, 85, 65], Operations: [] Exploring Operation: 85+65=150, Resulting Numbers: [97, 50, 150] Generated Node #2: [97, 50, 150] from Operation: 85+65=150 Current State: 94:[97, 50, 150], Operations: ['85+65=150'] Exploring Operation: 150/50=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 150/50=3 Current State: 94:[97, 3], Operations: ['85+65=150', '150/50=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 27, 4, 69 ]
46
[ "27-8=19", "69-4=65", "65-19=46" ]
Current State: 46:[8, 27, 4, 69], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [4, 69, 19] Generated Node #2: [4, 69, 19] from Operation: 27-8=19 Current State: 46:[4, 69, 19], Operations: ['27-8=19'] Exploring Operation: 69-4=65, Resulting Numbers: [19, 65] Generated Node #3: [19, 65] from Operation: 69-4=65 Current State: 46:[19, 65], Operations: ['27-8=19', '69-4=65'] Exploring Operation: 65-19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 51, 85, 87 ]
71
[ "91+51=142", "87-85=2", "142/2=71" ]
Current State: 71:[91, 51, 85, 87], Operations: [] Exploring Operation: 91+51=142, Resulting Numbers: [85, 87, 142] Generated Node #2: [85, 87, 142] from Operation: 91+51=142 Current State: 71:[85, 87, 142], Operations: ['91+51=142'] Exploring Operation: 87-85=2, Resulting Numbers: [142, 2] Generated Node #3: [142, 2] from Operation: 87-85=2 Current State: 71:[142, 2], Operations: ['91+51=142', '87-85=2'] Exploring Operation: 142/2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 72, 28, 30 ]
19
[ "5+72=77", "28+30=58", "77-58=19" ]
Current State: 19:[5, 72, 28, 30], Operations: [] Exploring Operation: 5+72=77, Resulting Numbers: [28, 30, 77] Generated Node #2: [28, 30, 77] from Operation: 5+72=77 Current State: 19:[28, 30, 77], Operations: ['5+72=77'] Exploring Operation: 28+30=58, Resulting Numbers: [77, 58] Generated Node #3: [77, 58] from Operation: 28+30=58 Current State: 19:[77, 58], Operations: ['5+72=77', '28+30=58'] Exploring Operation: 77-58=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 62, 39, 2, 33 ]
10
[ "62-2=60", "39-33=6", "60/6=10" ]
Current State: 10:[62, 39, 2, 33], Operations: [] Exploring Operation: 62-2=60, Resulting Numbers: [39, 33, 60] Generated Node #2: [39, 33, 60] from Operation: 62-2=60 Current State: 10:[39, 33, 60], Operations: ['62-2=60'] Exploring Operation: 39-33=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 39-33=6 Current State: 10:[60, 6], Operations: ['62-2=60', '39-33=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 10, 71, 73 ]
63
[ "91-10=81", "71+73=144", "144-81=63" ]
Current State: 63:[91, 10, 71, 73], Operations: [] Exploring Operation: 91-10=81, Resulting Numbers: [71, 73, 81] Generated Node #2: [71, 73, 81] from Operation: 91-10=81 Current State: 63:[71, 73, 81], Operations: ['91-10=81'] Exploring Operation: 71+73=144, Resulting Numbers: [81, 144] Generated Node #3: [81, 144] from Operation: 71+73=144 Current State: 63:[81, 144], Operations: ['91-10=81', '71+73=144'] Exploring Operation: 144-81=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 1, 60, 33 ]
30
[ "66*1=66", "60*33=1980", "1980/66=30" ]
Current State: 30:[66, 1, 60, 33], Operations: [] Exploring Operation: 66*1=66, Resulting Numbers: [60, 33, 66] Generated Node #2: [60, 33, 66] from Operation: 66*1=66 Current State: 30:[60, 33, 66], Operations: ['66*1=66'] Exploring Operation: 60*33=1980, Resulting Numbers: [66, 1980] Generated Node #3: [66, 1980] from Operation: 60*33=1980 Current State: 30:[66, 1980], Operations: ['66*1=66', '60*33=1980'] Exploring Operation: 1980/66=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 62, 82, 74, 66 ]
49
[ "62*66=4092", "4092-74=4018", "4018/82=49" ]
Current State: 49:[62, 82, 74, 66], Operations: [] Exploring Operation: 62*66=4092, Resulting Numbers: [82, 74, 4092] Generated Node #2: [82, 74, 4092] from Operation: 62*66=4092 Current State: 49:[82, 74, 4092], Operations: ['62*66=4092'] Exploring Operation: 4092-74=4018, Resulting Numbers: [82, 4018] Generated Node #3: [82, 4018] from Operation: 4092-74=4018 Current State: 49:[82, 4018], Operations: ['62*66=4092', '4092-74=4018'] Exploring Operation: 4018/82=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 46, 73, 84, 96 ]
86
[ "96-73=23", "46/23=2", "84+2=86" ]
Current State: 86:[46, 73, 84, 96], Operations: [] Exploring Operation: 96-73=23, Resulting Numbers: [46, 84, 23] Generated Node #2: [46, 84, 23] from Operation: 96-73=23 Current State: 86:[46, 84, 23], Operations: ['96-73=23'] Exploring Operation: 46/23=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 46/23=2 Current State: 86:[84, 2], Operations: ['96-73=23', '46/23=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 11, 96, 78 ]
60
[ "11-9=2", "78*2=156", "156-96=60" ]
Current State: 60:[9, 11, 96, 78], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [96, 78, 2] Generated Node #2: [96, 78, 2] from Operation: 11-9=2 Current State: 60:[96, 78, 2], Operations: ['11-9=2'] Exploring Operation: 78*2=156, Resulting Numbers: [96, 156] Generated Node #3: [96, 156] from Operation: 78*2=156 Current State: 60:[96, 156], Operations: ['11-9=2', '78*2=156'] Exploring Operation: 156-96=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 35, 48, 56, 84 ]
52
[ "35+56=91", "48*91=4368", "4368/84=52" ]
Current State: 52:[35, 48, 56, 84], Operations: [] Exploring Operation: 35+56=91, Resulting Numbers: [48, 84, 91] Generated Node #2: [48, 84, 91] from Operation: 35+56=91 Current State: 52:[48, 84, 91], Operations: ['35+56=91'] Exploring Operation: 48*91=4368, Resulting Numbers: [84, 4368] Generated Node #3: [84, 4368] from Operation: 48*91=4368 Current State: 52:[84, 4368], Operations: ['35+56=91', '48*91=4368'] Exploring Operation: 4368/84=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 20, 64, 70 ]
43
[ "57-20=37", "70-64=6", "37+6=43" ]
Current State: 43:[57, 20, 64, 70], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [64, 70, 37] Generated Node #2: [64, 70, 37] from Operation: 57-20=37 Current State: 43:[64, 70, 37], Operations: ['57-20=37'] Exploring Operation: 70-64=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 70-64=6 Current State: 43:[37, 6], Operations: ['57-20=37', '70-64=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4