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, 31, 21, 1 ]
75
[ "5*21=105", "31-1=30", "105-30=75" ]
Current State: 75:[5, 31, 21, 1], Operations: [] Exploring Operation: 5*21=105, Resulting Numbers: [31, 1, 105] Generated Node #2: [31, 1, 105] from Operation: 5*21=105 Current State: 75:[31, 1, 105], Operations: ['5*21=105'] Exploring Operation: 31-1=30, Resulting Numbers: [105, 30] Generated Node #3: [105, 30] from Operation: 31-1=30 Current State: 75:[105, 30], Operations: ['5*21=105', '31-1=30'] Exploring Operation: 105-30=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 12, 61, 45, 6 ]
32
[ "12/6=2", "61-45=16", "2*16=32" ]
Current State: 32:[12, 61, 45, 6], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [61, 45, 2] Generated Node #2: [61, 45, 2] from Operation: 12/6=2 Current State: 32:[61, 45, 2], Operations: ['12/6=2'] Exploring Operation: 61-45=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 61-45=16 Current State: 32:[2, 16], Operations: ['12/6=2', '61-45=16'] Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 23, 41, 65, 87 ]
63
[ "87-41=46", "46/23=2", "65-2=63" ]
Current State: 63:[23, 41, 65, 87], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [23, 65, 46] Generated Node #2: [23, 65, 46] from Operation: 87-41=46 Current State: 63:[23, 65, 46], Operations: ['87-41=46'] Exploring Operation: 46/23=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 46/23=2 Current State: 63:[65, 2], Operations: ['87-41=46', '46/23=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 95, 88, 63, 15 ]
55
[ "95-88=7", "63-15=48", "7+48=55" ]
Current State: 55:[95, 88, 63, 15], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [63, 15, 7] Generated Node #2: [63, 15, 7] from Operation: 95-88=7 Current State: 55:[63, 15, 7], Operations: ['95-88=7'] Exploring Operation: 63-15=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 63-15=48 Current State: 55:[7, 48], Operations: ['95-88=7', '63-15=48'] Exploring Operation: 7+48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 68, 24, 53, 2 ]
75
[ "68-24=44", "44/2=22", "53+22=75" ]
Current State: 75:[68, 24, 53, 2], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [53, 2, 44] Generated Node #2: [53, 2, 44] from Operation: 68-24=44 Current State: 75:[53, 2, 44], Operations: ['68-24=44'] Exploring Operation: 44/2=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 44/2=22 Current State: 75:[53, 22], Operations: ['68-24=44', '44/2=22'] Exploring Operation: 53+22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 53, 92, 68, 3 ]
80
[ "53+92=145", "68-3=65", "145-65=80" ]
Current State: 80:[53, 92, 68, 3], Operations: [] Exploring Operation: 53+92=145, Resulting Numbers: [68, 3, 145] Generated Node #2: [68, 3, 145] from Operation: 53+92=145 Current State: 80:[68, 3, 145], Operations: ['53+92=145'] Exploring Operation: 68-3=65, Resulting Numbers: [145, 65] Generated Node #3: [145, 65] from Operation: 68-3=65 Current State: 80:[145, 65], Operations: ['53+92=145', '68-3=65'] Exploring Operation: 145-65=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 64, 64, 23 ]
92
[ "64+64=128", "128/32=4", "23*4=92" ]
Current State: 92:[32, 64, 64, 23], Operations: [] Exploring Operation: 64+64=128, Resulting Numbers: [32, 23, 128] Generated Node #2: [32, 23, 128] from Operation: 64+64=128 Current State: 92:[32, 23, 128], Operations: ['64+64=128'] Exploring Operation: 128/32=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 128/32=4 Current State: 92:[23, 4], Operations: ['64+64=128', '128/32=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 77, 26, 56, 18 ]
98
[ "77*56=4312", "26+18=44", "4312/44=98" ]
Current State: 98:[77, 26, 56, 18], Operations: [] Exploring Operation: 77*56=4312, Resulting Numbers: [26, 18, 4312] Generated Node #2: [26, 18, 4312] from Operation: 77*56=4312 Current State: 98:[26, 18, 4312], Operations: ['77*56=4312'] Exploring Operation: 26+18=44, Resulting Numbers: [4312, 44] Generated Node #3: [4312, 44] from Operation: 26+18=44 Current State: 98:[4312, 44], Operations: ['77*56=4312', '26+18=44'] Exploring Operation: 4312/44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 30, 53, 15, 83 ]
91
[ "53-30=23", "83-15=68", "23+68=91" ]
Current State: 91:[30, 53, 15, 83], Operations: [] Exploring Operation: 53-30=23, Resulting Numbers: [15, 83, 23] Generated Node #2: [15, 83, 23] from Operation: 53-30=23 Current State: 91:[15, 83, 23], Operations: ['53-30=23'] Exploring Operation: 83-15=68, Resulting Numbers: [23, 68] Generated Node #3: [23, 68] from Operation: 83-15=68 Current State: 91:[23, 68], Operations: ['53-30=23', '83-15=68'] Exploring Operation: 23+68=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 2, 38, 93 ]
16
[ "69+2=71", "93-38=55", "71-55=16" ]
Current State: 16:[69, 2, 38, 93], Operations: [] Exploring Operation: 69+2=71, Resulting Numbers: [38, 93, 71] Generated Node #2: [38, 93, 71] from Operation: 69+2=71 Current State: 16:[38, 93, 71], Operations: ['69+2=71'] Exploring Operation: 93-38=55, Resulting Numbers: [71, 55] Generated Node #3: [71, 55] from Operation: 93-38=55 Current State: 16:[71, 55], Operations: ['69+2=71', '93-38=55'] Exploring Operation: 71-55=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 14, 8, 26 ]
25
[ "14-7=7", "26-8=18", "7+18=25" ]
Current State: 25:[7, 14, 8, 26], Operations: [] Exploring Operation: 14-7=7, Resulting Numbers: [8, 26, 7] Generated Node #2: [8, 26, 7] from Operation: 14-7=7 Current State: 25:[8, 26, 7], Operations: ['14-7=7'] Exploring Operation: 26-8=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 26-8=18 Current State: 25:[7, 18], Operations: ['14-7=7', '26-8=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 6, 7, 69 ]
29
[ "92+69=161", "161/7=23", "6+23=29" ]
Current State: 29:[92, 6, 7, 69], Operations: [] Exploring Operation: 92+69=161, Resulting Numbers: [6, 7, 161] Generated Node #2: [6, 7, 161] from Operation: 92+69=161 Current State: 29:[6, 7, 161], Operations: ['92+69=161'] Exploring Operation: 161/7=23, Resulting Numbers: [6, 23] Generated Node #3: [6, 23] from Operation: 161/7=23 Current State: 29:[6, 23], Operations: ['92+69=161', '161/7=23'] Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 61, 44, 78 ]
81
[ "61-14=47", "78-44=34", "47+34=81" ]
Current State: 81:[14, 61, 44, 78], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [44, 78, 47] Generated Node #2: [44, 78, 47] from Operation: 61-14=47 Current State: 81:[44, 78, 47], Operations: ['61-14=47'] Exploring Operation: 78-44=34, Resulting Numbers: [47, 34] Generated Node #3: [47, 34] from Operation: 78-44=34 Current State: 81:[47, 34], Operations: ['61-14=47', '78-44=34'] Exploring Operation: 47+34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 18, 96, 12 ]
31
[ "35+18=53", "96-12=84", "84-53=31" ]
Current State: 31:[35, 18, 96, 12], Operations: [] Exploring Operation: 35+18=53, Resulting Numbers: [96, 12, 53] Generated Node #2: [96, 12, 53] from Operation: 35+18=53 Current State: 31:[96, 12, 53], Operations: ['35+18=53'] Exploring Operation: 96-12=84, Resulting Numbers: [53, 84] Generated Node #3: [53, 84] from Operation: 96-12=84 Current State: 31:[53, 84], Operations: ['35+18=53', '96-12=84'] Exploring Operation: 84-53=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 69, 55, 83 ]
66
[ "55*83=4565", "4565-11=4554", "4554/69=66" ]
Current State: 66:[11, 69, 55, 83], Operations: [] Exploring Operation: 55*83=4565, Resulting Numbers: [11, 69, 4565] Generated Node #2: [11, 69, 4565] from Operation: 55*83=4565 Current State: 66:[11, 69, 4565], Operations: ['55*83=4565'] Exploring Operation: 4565-11=4554, Resulting Numbers: [69, 4554] Generated Node #3: [69, 4554] from Operation: 4565-11=4554 Current State: 66:[69, 4554], Operations: ['55*83=4565', '4565-11=4554'] Exploring Operation: 4554/69=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 99, 85, 91, 95 ]
24
[ "99-95=4", "91-85=6", "4*6=24" ]
Current State: 24:[99, 85, 91, 95], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [85, 91, 4] Generated Node #2: [85, 91, 4] from Operation: 99-95=4 Current State: 24:[85, 91, 4], Operations: ['99-95=4'] Exploring Operation: 91-85=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 91-85=6 Current State: 24:[4, 6], Operations: ['99-95=4', '91-85=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 43, 15, 42 ]
47
[ "48-42=6", "15*6=90", "90-43=47" ]
Current State: 47:[48, 43, 15, 42], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [43, 15, 6] Generated Node #2: [43, 15, 6] from Operation: 48-42=6 Current State: 47:[43, 15, 6], Operations: ['48-42=6'] Exploring Operation: 15*6=90, Resulting Numbers: [43, 90] Generated Node #3: [43, 90] from Operation: 15*6=90 Current State: 47:[43, 90], Operations: ['48-42=6', '15*6=90'] Exploring Operation: 90-43=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 55, 52, 56, 70 ]
17
[ "55-52=3", "70-56=14", "3+14=17" ]
Current State: 17:[55, 52, 56, 70], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [56, 70, 3] Generated Node #2: [56, 70, 3] from Operation: 55-52=3 Current State: 17:[56, 70, 3], Operations: ['55-52=3'] Exploring Operation: 70-56=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 70-56=14 Current State: 17:[3, 14], Operations: ['55-52=3', '70-56=14'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 70, 67, 84, 11 ]
92
[ "70-67=3", "84+11=95", "95-3=92" ]
Current State: 92:[70, 67, 84, 11], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [84, 11, 3] Generated Node #2: [84, 11, 3] from Operation: 70-67=3 Current State: 92:[84, 11, 3], Operations: ['70-67=3'] Exploring Operation: 84+11=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 84+11=95 Current State: 92:[3, 95], Operations: ['70-67=3', '84+11=95'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 89, 84, 59 ]
94
[ "59-57=2", "89*2=178", "178-84=94" ]
Current State: 94:[57, 89, 84, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [89, 84, 2] Generated Node #2: [89, 84, 2] from Operation: 59-57=2 Current State: 94:[89, 84, 2], Operations: ['59-57=2'] Exploring Operation: 89*2=178, Resulting Numbers: [84, 178] Generated Node #3: [84, 178] from Operation: 89*2=178 Current State: 94:[84, 178], Operations: ['59-57=2', '89*2=178'] Exploring Operation: 178-84=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 79, 80, 80, 17 ]
79
[ "80-80=0", "17*0=0", "79+0=79" ]
Current State: 79:[79, 80, 80, 17], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [79, 17, 0] Generated Node #2: [79, 17, 0] from Operation: 80-80=0 Current State: 79:[79, 17, 0], Operations: ['80-80=0'] Exploring Operation: 17*0=0, Resulting Numbers: [79, 0] Generated Node #3: [79, 0] from Operation: 17*0=0 Current State: 79:[79, 0], Operations: ['80-80=0', '17*0=0'] Exploring Operation: 79+0=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 23, 67, 89, 35 ]
34
[ "23+67=90", "89+35=124", "124-90=34" ]
Current State: 34:[23, 67, 89, 35], Operations: [] Exploring Operation: 23+67=90, Resulting Numbers: [89, 35, 90] Generated Node #2: [89, 35, 90] from Operation: 23+67=90 Current State: 34:[89, 35, 90], Operations: ['23+67=90'] Exploring Operation: 89+35=124, Resulting Numbers: [90, 124] Generated Node #3: [90, 124] from Operation: 89+35=124 Current State: 34:[90, 124], Operations: ['23+67=90', '89+35=124'] Exploring Operation: 124-90=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 52, 30, 50, 28 ]
16
[ "52-50=2", "28/2=14", "30-14=16" ]
Current State: 16:[52, 30, 50, 28], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [30, 28, 2] Generated Node #2: [30, 28, 2] from Operation: 52-50=2 Current State: 16:[30, 28, 2], Operations: ['52-50=2'] Exploring Operation: 28/2=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 28/2=14 Current State: 16:[30, 14], Operations: ['52-50=2', '28/2=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 90, 71, 60, 67 ]
77
[ "90*60=5400", "67+5400=5467", "5467/71=77" ]
Current State: 77:[90, 71, 60, 67], Operations: [] Exploring Operation: 90*60=5400, Resulting Numbers: [71, 67, 5400] Generated Node #2: [71, 67, 5400] from Operation: 90*60=5400 Current State: 77:[71, 67, 5400], Operations: ['90*60=5400'] Exploring Operation: 67+5400=5467, Resulting Numbers: [71, 5467] Generated Node #3: [71, 5467] from Operation: 67+5400=5467 Current State: 77:[71, 5467], Operations: ['90*60=5400', '67+5400=5467'] Exploring Operation: 5467/71=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 57, 30, 49, 36 ]
48
[ "57-49=8", "36-30=6", "8*6=48" ]
Current State: 48:[57, 30, 49, 36], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [30, 36, 8] Generated Node #2: [30, 36, 8] from Operation: 57-49=8 Current State: 48:[30, 36, 8], Operations: ['57-49=8'] Exploring Operation: 36-30=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 36-30=6 Current State: 48:[8, 6], Operations: ['57-49=8', '36-30=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 52, 88, 44 ]
20
[ "52*88=4576", "4576/44=104", "104-84=20" ]
Current State: 20:[84, 52, 88, 44], Operations: [] Exploring Operation: 52*88=4576, Resulting Numbers: [84, 44, 4576] Generated Node #2: [84, 44, 4576] from Operation: 52*88=4576 Current State: 20:[84, 44, 4576], Operations: ['52*88=4576'] Exploring Operation: 4576/44=104, Resulting Numbers: [84, 104] Generated Node #3: [84, 104] from Operation: 4576/44=104 Current State: 20:[84, 104], Operations: ['52*88=4576', '4576/44=104'] Exploring Operation: 104-84=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 62, 53, 2, 15 ]
57
[ "62-2=60", "60/15=4", "53+4=57" ]
Current State: 57:[62, 53, 2, 15], Operations: [] Exploring Operation: 62-2=60, Resulting Numbers: [53, 15, 60] Generated Node #2: [53, 15, 60] from Operation: 62-2=60 Current State: 57:[53, 15, 60], Operations: ['62-2=60'] Exploring Operation: 60/15=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 60/15=4 Current State: 57:[53, 4], Operations: ['62-2=60', '60/15=4'] Exploring Operation: 53+4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 21, 33, 67 ]
44
[ "21*67=1407", "45+1407=1452", "1452/33=44" ]
Current State: 44:[45, 21, 33, 67], Operations: [] Exploring Operation: 21*67=1407, Resulting Numbers: [45, 33, 1407] Generated Node #2: [45, 33, 1407] from Operation: 21*67=1407 Current State: 44:[45, 33, 1407], Operations: ['21*67=1407'] Exploring Operation: 45+1407=1452, Resulting Numbers: [33, 1452] Generated Node #3: [33, 1452] from Operation: 45+1407=1452 Current State: 44:[33, 1452], Operations: ['21*67=1407', '45+1407=1452'] Exploring Operation: 1452/33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 9, 21, 38, 42 ]
75
[ "42-38=4", "21*4=84", "84-9=75" ]
Current State: 75:[9, 21, 38, 42], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [9, 21, 4] Generated Node #2: [9, 21, 4] from Operation: 42-38=4 Current State: 75:[9, 21, 4], Operations: ['42-38=4'] Exploring Operation: 21*4=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 21*4=84 Current State: 75:[9, 84], Operations: ['42-38=4', '21*4=84'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 28, 22, 7 ]
33
[ "28-22=6", "7*6=42", "42-9=33" ]
Current State: 33:[9, 28, 22, 7], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [9, 7, 6] Generated Node #2: [9, 7, 6] from Operation: 28-22=6 Current State: 33:[9, 7, 6], Operations: ['28-22=6'] Exploring Operation: 7*6=42, Resulting Numbers: [9, 42] Generated Node #3: [9, 42] from Operation: 7*6=42 Current State: 33:[9, 42], Operations: ['28-22=6', '7*6=42'] Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 99, 90, 2 ]
11
[ "13+99=112", "112-90=22", "22/2=11" ]
Current State: 11:[13, 99, 90, 2], Operations: [] Exploring Operation: 13+99=112, Resulting Numbers: [90, 2, 112] Generated Node #2: [90, 2, 112] from Operation: 13+99=112 Current State: 11:[90, 2, 112], Operations: ['13+99=112'] Exploring Operation: 112-90=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 112-90=22 Current State: 11:[2, 22], Operations: ['13+99=112', '112-90=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 38, 97, 35, 66 ]
75
[ "38-35=3", "66/3=22", "97-22=75" ]
Current State: 75:[38, 97, 35, 66], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [97, 66, 3] Generated Node #2: [97, 66, 3] from Operation: 38-35=3 Current State: 75:[97, 66, 3], Operations: ['38-35=3'] Exploring Operation: 66/3=22, Resulting Numbers: [97, 22] Generated Node #3: [97, 22] from Operation: 66/3=22 Current State: 75:[97, 22], Operations: ['38-35=3', '66/3=22'] Exploring Operation: 97-22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 62, 16, 65, 67 ]
76
[ "62+16=78", "67-65=2", "78-2=76" ]
Current State: 76:[62, 16, 65, 67], Operations: [] Exploring Operation: 62+16=78, Resulting Numbers: [65, 67, 78] Generated Node #2: [65, 67, 78] from Operation: 62+16=78 Current State: 76:[65, 67, 78], Operations: ['62+16=78'] Exploring Operation: 67-65=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 67-65=2 Current State: 76:[78, 2], Operations: ['62+16=78', '67-65=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 72, 35, 26, 74 ]
28
[ "72-35=37", "74/37=2", "26+2=28" ]
Current State: 28:[72, 35, 26, 74], Operations: [] Exploring Operation: 72-35=37, Resulting Numbers: [26, 74, 37] Generated Node #2: [26, 74, 37] from Operation: 72-35=37 Current State: 28:[26, 74, 37], Operations: ['72-35=37'] Exploring Operation: 74/37=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 74/37=2 Current State: 28:[26, 2], Operations: ['72-35=37', '74/37=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 76, 2, 52, 58 ]
79
[ "58-52=6", "6/2=3", "76+3=79" ]
Current State: 79:[76, 2, 52, 58], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [76, 2, 6] Generated Node #2: [76, 2, 6] from Operation: 58-52=6 Current State: 79:[76, 2, 6], Operations: ['58-52=6'] Exploring Operation: 6/2=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 6/2=3 Current State: 79:[76, 3], Operations: ['58-52=6', '6/2=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 58, 74, 10 ]
80
[ "8+58=66", "74-66=8", "10*8=80" ]
Current State: 80:[8, 58, 74, 10], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [74, 10, 66] Generated Node #2: [74, 10, 66] from Operation: 8+58=66 Current State: 80:[74, 10, 66], Operations: ['8+58=66'] Exploring Operation: 74-66=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 74-66=8 Current State: 80:[10, 8], Operations: ['8+58=66', '74-66=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 39, 51, 75 ]
72
[ "15+39=54", "51+75=126", "126-54=72" ]
Current State: 72:[15, 39, 51, 75], Operations: [] Exploring Operation: 15+39=54, Resulting Numbers: [51, 75, 54] Generated Node #2: [51, 75, 54] from Operation: 15+39=54 Current State: 72:[51, 75, 54], Operations: ['15+39=54'] Exploring Operation: 51+75=126, Resulting Numbers: [54, 126] Generated Node #3: [54, 126] from Operation: 51+75=126 Current State: 72:[54, 126], Operations: ['15+39=54', '51+75=126'] Exploring Operation: 126-54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 76, 98, 9 ]
100
[ "76-69=7", "98+9=107", "107-7=100" ]
Current State: 100:[69, 76, 98, 9], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [98, 9, 7] Generated Node #2: [98, 9, 7] from Operation: 76-69=7 Current State: 100:[98, 9, 7], Operations: ['76-69=7'] Exploring Operation: 98+9=107, Resulting Numbers: [7, 107] Generated Node #3: [7, 107] from Operation: 98+9=107 Current State: 100:[7, 107], Operations: ['76-69=7', '98+9=107'] Exploring Operation: 107-7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 69, 41, 46 ]
38
[ "69-41=28", "3*28=84", "84-46=38" ]
Current State: 38:[3, 69, 41, 46], Operations: [] Exploring Operation: 69-41=28, Resulting Numbers: [3, 46, 28] Generated Node #2: [3, 46, 28] from Operation: 69-41=28 Current State: 38:[3, 46, 28], Operations: ['69-41=28'] Exploring Operation: 3*28=84, Resulting Numbers: [46, 84] Generated Node #3: [46, 84] from Operation: 3*28=84 Current State: 38:[46, 84], Operations: ['69-41=28', '3*28=84'] Exploring Operation: 84-46=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 38, 3, 10 ]
67
[ "38-19=19", "3*19=57", "10+57=67" ]
Current State: 67:[19, 38, 3, 10], Operations: [] Exploring Operation: 38-19=19, Resulting Numbers: [3, 10, 19] Generated Node #2: [3, 10, 19] from Operation: 38-19=19 Current State: 67:[3, 10, 19], Operations: ['38-19=19'] Exploring Operation: 3*19=57, Resulting Numbers: [10, 57] Generated Node #3: [10, 57] from Operation: 3*19=57 Current State: 67:[10, 57], Operations: ['38-19=19', '3*19=57'] Exploring Operation: 10+57=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 55, 93, 65, 76 ]
49
[ "93-55=38", "76-65=11", "38+11=49" ]
Current State: 49:[55, 93, 65, 76], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [65, 76, 38] Generated Node #2: [65, 76, 38] from Operation: 93-55=38 Current State: 49:[65, 76, 38], Operations: ['93-55=38'] Exploring Operation: 76-65=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 76-65=11 Current State: 49:[38, 11], Operations: ['93-55=38', '76-65=11'] Exploring Operation: 38+11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 60, 32, 58, 53 ]
33
[ "60-32=28", "58-53=5", "28+5=33" ]
Current State: 33:[60, 32, 58, 53], Operations: [] Exploring Operation: 60-32=28, Resulting Numbers: [58, 53, 28] Generated Node #2: [58, 53, 28] from Operation: 60-32=28 Current State: 33:[58, 53, 28], Operations: ['60-32=28'] Exploring Operation: 58-53=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 58-53=5 Current State: 33:[28, 5], Operations: ['60-32=28', '58-53=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 95, 70, 62, 16 ]
33
[ "70-62=8", "16*8=128", "128-95=33" ]
Current State: 33:[95, 70, 62, 16], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [95, 16, 8] Generated Node #2: [95, 16, 8] from Operation: 70-62=8 Current State: 33:[95, 16, 8], Operations: ['70-62=8'] Exploring Operation: 16*8=128, Resulting Numbers: [95, 128] Generated Node #3: [95, 128] from Operation: 16*8=128 Current State: 33:[95, 128], Operations: ['70-62=8', '16*8=128'] Exploring Operation: 128-95=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 18, 28, 6 ]
79
[ "18*28=504", "504/6=84", "84-5=79" ]
Current State: 79:[5, 18, 28, 6], Operations: [] Exploring Operation: 18*28=504, Resulting Numbers: [5, 6, 504] Generated Node #2: [5, 6, 504] from Operation: 18*28=504 Current State: 79:[5, 6, 504], Operations: ['18*28=504'] Exploring Operation: 504/6=84, Resulting Numbers: [5, 84] Generated Node #3: [5, 84] from Operation: 504/6=84 Current State: 79:[5, 84], Operations: ['18*28=504', '504/6=84'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 96, 99, 79, 4 ]
67
[ "99-96=3", "4*3=12", "79-12=67" ]
Current State: 67:[96, 99, 79, 4], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [79, 4, 3] Generated Node #2: [79, 4, 3] from Operation: 99-96=3 Current State: 67:[79, 4, 3], Operations: ['99-96=3'] Exploring Operation: 4*3=12, Resulting Numbers: [79, 12] Generated Node #3: [79, 12] from Operation: 4*3=12 Current State: 67:[79, 12], Operations: ['99-96=3', '4*3=12'] Exploring Operation: 79-12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 26, 75, 16 ]
24
[ "9+26=35", "75-16=59", "59-35=24" ]
Current State: 24:[9, 26, 75, 16], Operations: [] Exploring Operation: 9+26=35, Resulting Numbers: [75, 16, 35] Generated Node #2: [75, 16, 35] from Operation: 9+26=35 Current State: 24:[75, 16, 35], Operations: ['9+26=35'] Exploring Operation: 75-16=59, Resulting Numbers: [35, 59] Generated Node #3: [35, 59] from Operation: 75-16=59 Current State: 24:[35, 59], Operations: ['9+26=35', '75-16=59'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 74, 2, 70, 23 ]
10
[ "74/2=37", "70-23=47", "47-37=10" ]
Current State: 10:[74, 2, 70, 23], Operations: [] Exploring Operation: 74/2=37, Resulting Numbers: [70, 23, 37] Generated Node #2: [70, 23, 37] from Operation: 74/2=37 Current State: 10:[70, 23, 37], Operations: ['74/2=37'] Exploring Operation: 70-23=47, Resulting Numbers: [37, 47] Generated Node #3: [37, 47] from Operation: 70-23=47 Current State: 10:[37, 47], Operations: ['74/2=37', '70-23=47'] Exploring Operation: 47-37=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 53, 89, 26, 71 ]
45
[ "53+89=142", "26+71=97", "142-97=45" ]
Current State: 45:[53, 89, 26, 71], Operations: [] Exploring Operation: 53+89=142, Resulting Numbers: [26, 71, 142] Generated Node #2: [26, 71, 142] from Operation: 53+89=142 Current State: 45:[26, 71, 142], Operations: ['53+89=142'] Exploring Operation: 26+71=97, Resulting Numbers: [142, 97] Generated Node #3: [142, 97] from Operation: 26+71=97 Current State: 45:[142, 97], Operations: ['53+89=142', '26+71=97'] Exploring Operation: 142-97=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 84, 79, 36, 75 ]
93
[ "79-75=4", "36/4=9", "84+9=93" ]
Current State: 93:[84, 79, 36, 75], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [84, 36, 4] Generated Node #2: [84, 36, 4] from Operation: 79-75=4 Current State: 93:[84, 36, 4], Operations: ['79-75=4'] Exploring Operation: 36/4=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 36/4=9 Current State: 93:[84, 9], Operations: ['79-75=4', '36/4=9'] Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 66, 93, 45, 15 ]
81
[ "93-66=27", "45/15=3", "27*3=81" ]
Current State: 81:[66, 93, 45, 15], Operations: [] Exploring Operation: 93-66=27, Resulting Numbers: [45, 15, 27] Generated Node #2: [45, 15, 27] from Operation: 93-66=27 Current State: 81:[45, 15, 27], Operations: ['93-66=27'] Exploring Operation: 45/15=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 45/15=3 Current State: 81:[27, 3], Operations: ['93-66=27', '45/15=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 32, 2, 99 ]
71
[ "99-32=67", "2*67=134", "134-63=71" ]
Current State: 71:[63, 32, 2, 99], Operations: [] Exploring Operation: 99-32=67, Resulting Numbers: [63, 2, 67] Generated Node #2: [63, 2, 67] from Operation: 99-32=67 Current State: 71:[63, 2, 67], Operations: ['99-32=67'] Exploring Operation: 2*67=134, Resulting Numbers: [63, 134] Generated Node #3: [63, 134] from Operation: 2*67=134 Current State: 71:[63, 134], Operations: ['99-32=67', '2*67=134'] Exploring Operation: 134-63=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 74, 46, 43, 62 ]
47
[ "74-46=28", "62-43=19", "28+19=47" ]
Current State: 47:[74, 46, 43, 62], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [43, 62, 28] Generated Node #2: [43, 62, 28] from Operation: 74-46=28 Current State: 47:[43, 62, 28], Operations: ['74-46=28'] Exploring Operation: 62-43=19, Resulting Numbers: [28, 19] Generated Node #3: [28, 19] from Operation: 62-43=19 Current State: 47:[28, 19], Operations: ['74-46=28', '62-43=19'] Exploring Operation: 28+19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 16, 60, 7 ]
68
[ "16/16=1", "60+7=67", "1+67=68" ]
Current State: 68:[16, 16, 60, 7], Operations: [] Exploring Operation: 16/16=1, Resulting Numbers: [60, 7, 1] Generated Node #2: [60, 7, 1] from Operation: 16/16=1 Current State: 68:[60, 7, 1], Operations: ['16/16=1'] Exploring Operation: 60+7=67, Resulting Numbers: [1, 67] Generated Node #3: [1, 67] from Operation: 60+7=67 Current State: 68:[1, 67], Operations: ['16/16=1', '60+7=67'] Exploring Operation: 1+67=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 61, 26, 80, 98 ]
17
[ "61*26=1586", "80+1586=1666", "1666/98=17" ]
Current State: 17:[61, 26, 80, 98], Operations: [] Exploring Operation: 61*26=1586, Resulting Numbers: [80, 98, 1586] Generated Node #2: [80, 98, 1586] from Operation: 61*26=1586 Current State: 17:[80, 98, 1586], Operations: ['61*26=1586'] Exploring Operation: 80+1586=1666, Resulting Numbers: [98, 1666] Generated Node #3: [98, 1666] from Operation: 80+1586=1666 Current State: 17:[98, 1666], Operations: ['61*26=1586', '80+1586=1666'] Exploring Operation: 1666/98=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 35, 54, 27 ]
17
[ "27*35=945", "945-27=918", "918/54=17" ]
Current State: 17:[27, 35, 54, 27], Operations: [] Exploring Operation: 27*35=945, Resulting Numbers: [54, 945] Generated Node #2: [54, 945] from Operation: 27*35=945 Current State: 17:[54, 945], Operations: ['27*35=945'] Exploring Operation: 945-27=918, Resulting Numbers: [54, 918] Generated Node #3: [54, 918] from Operation: 945-27=918 Current State: 17:[54, 918], Operations: ['27*35=945', '945-27=918'] Exploring Operation: 918/54=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 48, 81, 66 ]
90
[ "20*81=1620", "66-48=18", "1620/18=90" ]
Current State: 90:[20, 48, 81, 66], Operations: [] Exploring Operation: 20*81=1620, Resulting Numbers: [48, 66, 1620] Generated Node #2: [48, 66, 1620] from Operation: 20*81=1620 Current State: 90:[48, 66, 1620], Operations: ['20*81=1620'] Exploring Operation: 66-48=18, Resulting Numbers: [1620, 18] Generated Node #3: [1620, 18] from Operation: 66-48=18 Current State: 90:[1620, 18], Operations: ['20*81=1620', '66-48=18'] Exploring Operation: 1620/18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 1, 4, 64, 60 ]
44
[ "1*4=4", "64/4=16", "60-16=44" ]
Current State: 44:[1, 4, 64, 60], Operations: [] Exploring Operation: 1*4=4, Resulting Numbers: [64, 60, 4] Generated Node #2: [64, 60, 4] from Operation: 1*4=4 Current State: 44:[64, 60, 4], Operations: ['1*4=4'] Exploring Operation: 64/4=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 64/4=16 Current State: 44:[60, 16], Operations: ['1*4=4', '64/4=16'] Exploring Operation: 60-16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 85, 52, 13 ]
79
[ "24*13=312", "312/52=6", "85-6=79" ]
Current State: 79:[24, 85, 52, 13], Operations: [] Exploring Operation: 24*13=312, Resulting Numbers: [85, 52, 312] Generated Node #2: [85, 52, 312] from Operation: 24*13=312 Current State: 79:[85, 52, 312], Operations: ['24*13=312'] Exploring Operation: 312/52=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 312/52=6 Current State: 79:[85, 6], Operations: ['24*13=312', '312/52=6'] Exploring Operation: 85-6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 55, 15, 43 ]
20
[ "86/43=2", "55-15=40", "40/2=20" ]
Current State: 20:[86, 55, 15, 43], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [55, 15, 2] Generated Node #2: [55, 15, 2] from Operation: 86/43=2 Current State: 20:[55, 15, 2], Operations: ['86/43=2'] Exploring Operation: 55-15=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 55-15=40 Current State: 20:[2, 40], Operations: ['86/43=2', '55-15=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 34, 9, 4, 4 ]
96
[ "34-9=25", "4*25=100", "100-4=96" ]
Current State: 96:[34, 9, 4, 4], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [4, 4, 25] Generated Node #2: [4, 4, 25] from Operation: 34-9=25 Current State: 96:[4, 4, 25], Operations: ['34-9=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,96 equal: Goal Reached Exploring Operation: 100-4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 70, 2, 94 ]
64
[ "85-70=15", "2*15=30", "94-30=64" ]
Current State: 64:[85, 70, 2, 94], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [2, 94, 15] Generated Node #2: [2, 94, 15] from Operation: 85-70=15 Current State: 64:[2, 94, 15], Operations: ['85-70=15'] Exploring Operation: 2*15=30, Resulting Numbers: [94, 30] Generated Node #3: [94, 30] from Operation: 2*15=30 Current State: 64:[94, 30], Operations: ['85-70=15', '2*15=30'] Exploring Operation: 94-30=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 33, 8, 72, 14 ]
28
[ "33-14=19", "72/8=9", "19+9=28" ]
Current State: 28:[33, 8, 72, 14], Operations: [] Exploring Operation: 33-14=19, Resulting Numbers: [8, 72, 19] Generated Node #2: [8, 72, 19] from Operation: 33-14=19 Current State: 28:[8, 72, 19], Operations: ['33-14=19'] Exploring Operation: 72/8=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 72/8=9 Current State: 28:[19, 9], Operations: ['33-14=19', '72/8=9'] Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 94, 96, 48, 67 ]
10
[ "94+96=190", "67-48=19", "190/19=10" ]
Current State: 10:[94, 96, 48, 67], Operations: [] Exploring Operation: 94+96=190, Resulting Numbers: [48, 67, 190] Generated Node #2: [48, 67, 190] from Operation: 94+96=190 Current State: 10:[48, 67, 190], Operations: ['94+96=190'] Exploring Operation: 67-48=19, Resulting Numbers: [190, 19] Generated Node #3: [190, 19] from Operation: 67-48=19 Current State: 10:[190, 19], Operations: ['94+96=190', '67-48=19'] Exploring Operation: 190/19=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 73, 71, 2 ]
88
[ "73-54=19", "71-2=69", "19+69=88" ]
Current State: 88:[54, 73, 71, 2], Operations: [] Exploring Operation: 73-54=19, Resulting Numbers: [71, 2, 19] Generated Node #2: [71, 2, 19] from Operation: 73-54=19 Current State: 88:[71, 2, 19], Operations: ['73-54=19'] Exploring Operation: 71-2=69, Resulting Numbers: [19, 69] Generated Node #3: [19, 69] from Operation: 71-2=69 Current State: 88:[19, 69], Operations: ['73-54=19', '71-2=69'] Exploring Operation: 19+69=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 96, 29, 65 ]
70
[ "96/4=24", "29+65=94", "94-24=70" ]
Current State: 70:[4, 96, 29, 65], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [29, 65, 24] Generated Node #2: [29, 65, 24] from Operation: 96/4=24 Current State: 70:[29, 65, 24], Operations: ['96/4=24'] Exploring Operation: 29+65=94, Resulting Numbers: [24, 94] Generated Node #3: [24, 94] from Operation: 29+65=94 Current State: 70:[24, 94], Operations: ['96/4=24', '29+65=94'] Exploring Operation: 94-24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 20, 32, 92 ]
22
[ "18+20=38", "92-32=60", "60-38=22" ]
Current State: 22:[18, 20, 32, 92], Operations: [] Exploring Operation: 18+20=38, Resulting Numbers: [32, 92, 38] Generated Node #2: [32, 92, 38] from Operation: 18+20=38 Current State: 22:[32, 92, 38], Operations: ['18+20=38'] Exploring Operation: 92-32=60, Resulting Numbers: [38, 60] Generated Node #3: [38, 60] from Operation: 92-32=60 Current State: 22:[38, 60], Operations: ['18+20=38', '92-32=60'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 5, 39, 14 ]
21
[ "14-2=12", "5*12=60", "60-39=21" ]
Current State: 21:[2, 5, 39, 14], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [5, 39, 12] Generated Node #2: [5, 39, 12] from Operation: 14-2=12 Current State: 21:[5, 39, 12], Operations: ['14-2=12'] Exploring Operation: 5*12=60, Resulting Numbers: [39, 60] Generated Node #3: [39, 60] from Operation: 5*12=60 Current State: 21:[39, 60], Operations: ['14-2=12', '5*12=60'] Exploring Operation: 60-39=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 85, 37, 7, 64 ]
65
[ "85+37=122", "64-7=57", "122-57=65" ]
Current State: 65:[85, 37, 7, 64], Operations: [] Exploring Operation: 85+37=122, Resulting Numbers: [7, 64, 122] Generated Node #2: [7, 64, 122] from Operation: 85+37=122 Current State: 65:[7, 64, 122], Operations: ['85+37=122'] Exploring Operation: 64-7=57, Resulting Numbers: [122, 57] Generated Node #3: [122, 57] from Operation: 64-7=57 Current State: 65:[122, 57], Operations: ['85+37=122', '64-7=57'] Exploring Operation: 122-57=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 93, 95, 15 ]
28
[ "95-93=2", "26/2=13", "15+13=28" ]
Current State: 28:[26, 93, 95, 15], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [26, 15, 2] Generated Node #2: [26, 15, 2] from Operation: 95-93=2 Current State: 28:[26, 15, 2], Operations: ['95-93=2'] Exploring Operation: 26/2=13, Resulting Numbers: [15, 13] Generated Node #3: [15, 13] from Operation: 26/2=13 Current State: 28:[15, 13], Operations: ['95-93=2', '26/2=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 42, 77, 67 ]
49
[ "42-3=39", "77-67=10", "39+10=49" ]
Current State: 49:[3, 42, 77, 67], Operations: [] Exploring Operation: 42-3=39, Resulting Numbers: [77, 67, 39] Generated Node #2: [77, 67, 39] from Operation: 42-3=39 Current State: 49:[77, 67, 39], Operations: ['42-3=39'] Exploring Operation: 77-67=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 77-67=10 Current State: 49:[39, 10], Operations: ['42-3=39', '77-67=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 69, 71, 28, 75 ]
45
[ "71-69=2", "75-28=47", "47-2=45" ]
Current State: 45:[69, 71, 28, 75], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [28, 75, 2] Generated Node #2: [28, 75, 2] from Operation: 71-69=2 Current State: 45:[28, 75, 2], Operations: ['71-69=2'] Exploring Operation: 75-28=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 75-28=47 Current State: 45:[2, 47], Operations: ['71-69=2', '75-28=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 11, 61, 76, 96 ]
30
[ "61-11=50", "96-76=20", "50-20=30" ]
Current State: 30:[11, 61, 76, 96], Operations: [] Exploring Operation: 61-11=50, Resulting Numbers: [76, 96, 50] Generated Node #2: [76, 96, 50] from Operation: 61-11=50 Current State: 30:[76, 96, 50], Operations: ['61-11=50'] Exploring Operation: 96-76=20, Resulting Numbers: [50, 20] Generated Node #3: [50, 20] from Operation: 96-76=20 Current State: 30:[50, 20], Operations: ['61-11=50', '96-76=20'] Exploring Operation: 50-20=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 37, 68, 74 ]
53
[ "52+37=89", "68+74=142", "142-89=53" ]
Current State: 53:[52, 37, 68, 74], Operations: [] Exploring Operation: 52+37=89, Resulting Numbers: [68, 74, 89] Generated Node #2: [68, 74, 89] from Operation: 52+37=89 Current State: 53:[68, 74, 89], Operations: ['52+37=89'] Exploring Operation: 68+74=142, Resulting Numbers: [89, 142] Generated Node #3: [89, 142] from Operation: 68+74=142 Current State: 53:[89, 142], Operations: ['52+37=89', '68+74=142'] Exploring Operation: 142-89=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 33, 27, 82, 72 ]
85
[ "27+72=99", "99/33=3", "82+3=85" ]
Current State: 85:[33, 27, 82, 72], Operations: [] Exploring Operation: 27+72=99, Resulting Numbers: [33, 82, 99] Generated Node #2: [33, 82, 99] from Operation: 27+72=99 Current State: 85:[33, 82, 99], Operations: ['27+72=99'] Exploring Operation: 99/33=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 99/33=3 Current State: 85:[82, 3], Operations: ['27+72=99', '99/33=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 18, 60, 26, 96 ]
48
[ "26-18=8", "96/8=12", "60-12=48" ]
Current State: 48:[18, 60, 26, 96], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [60, 96, 8] Generated Node #2: [60, 96, 8] from Operation: 26-18=8 Current State: 48:[60, 96, 8], Operations: ['26-18=8'] Exploring Operation: 96/8=12, Resulting Numbers: [60, 12] Generated Node #3: [60, 12] from Operation: 96/8=12 Current State: 48:[60, 12], Operations: ['26-18=8', '96/8=12'] Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 31, 32, 29 ]
45
[ "11+31=42", "32-29=3", "42+3=45" ]
Current State: 45:[11, 31, 32, 29], Operations: [] Exploring Operation: 11+31=42, Resulting Numbers: [32, 29, 42] Generated Node #2: [32, 29, 42] from Operation: 11+31=42 Current State: 45:[32, 29, 42], Operations: ['11+31=42'] Exploring Operation: 32-29=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 32-29=3 Current State: 45:[42, 3], Operations: ['11+31=42', '32-29=3'] Exploring Operation: 42+3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 2, 77, 21 ]
61
[ "96-77=19", "2*21=42", "19+42=61" ]
Current State: 61:[96, 2, 77, 21], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [2, 21, 19] Generated Node #2: [2, 21, 19] from Operation: 96-77=19 Current State: 61:[2, 21, 19], Operations: ['96-77=19'] Exploring Operation: 2*21=42, Resulting Numbers: [19, 42] Generated Node #3: [19, 42] from Operation: 2*21=42 Current State: 61:[19, 42], Operations: ['96-77=19', '2*21=42'] Exploring Operation: 19+42=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 49, 40, 71, 94 ]
76
[ "49+40=89", "71+94=165", "165-89=76" ]
Current State: 76:[49, 40, 71, 94], Operations: [] Exploring Operation: 49+40=89, Resulting Numbers: [71, 94, 89] Generated Node #2: [71, 94, 89] from Operation: 49+40=89 Current State: 76:[71, 94, 89], Operations: ['49+40=89'] Exploring Operation: 71+94=165, Resulting Numbers: [89, 165] Generated Node #3: [89, 165] from Operation: 71+94=165 Current State: 76:[89, 165], Operations: ['49+40=89', '71+94=165'] Exploring Operation: 165-89=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 25, 31, 25 ]
26
[ "31-4=27", "25/25=1", "27-1=26" ]
Current State: 26:[4, 25, 31, 25], Operations: [] Exploring Operation: 31-4=27, Resulting Numbers: [25, 25, 27] Generated Node #2: [25, 25, 27] from Operation: 31-4=27 Current State: 26:[25, 25, 27], Operations: ['31-4=27'] Exploring Operation: 25/25=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 25/25=1 Current State: 26:[27, 1], Operations: ['31-4=27', '25/25=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 83, 87, 17, 3 ]
13
[ "83+87=170", "170/17=10", "3+10=13" ]
Current State: 13:[83, 87, 17, 3], Operations: [] Exploring Operation: 83+87=170, Resulting Numbers: [17, 3, 170] Generated Node #2: [17, 3, 170] from Operation: 83+87=170 Current State: 13:[17, 3, 170], Operations: ['83+87=170'] Exploring Operation: 170/17=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 170/17=10 Current State: 13:[3, 10], Operations: ['83+87=170', '170/17=10'] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 16, 47, 64 ]
34
[ "47-9=38", "64/16=4", "38-4=34" ]
Current State: 34:[9, 16, 47, 64], Operations: [] Exploring Operation: 47-9=38, Resulting Numbers: [16, 64, 38] Generated Node #2: [16, 64, 38] from Operation: 47-9=38 Current State: 34:[16, 64, 38], Operations: ['47-9=38'] Exploring Operation: 64/16=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 64/16=4 Current State: 34:[38, 4], Operations: ['47-9=38', '64/16=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 60, 12, 37 ]
42
[ "10+37=47", "60/12=5", "47-5=42" ]
Current State: 42:[10, 60, 12, 37], Operations: [] Exploring Operation: 10+37=47, Resulting Numbers: [60, 12, 47] Generated Node #2: [60, 12, 47] from Operation: 10+37=47 Current State: 42:[60, 12, 47], Operations: ['10+37=47'] Exploring Operation: 60/12=5, Resulting Numbers: [47, 5] Generated Node #3: [47, 5] from Operation: 60/12=5 Current State: 42:[47, 5], Operations: ['10+37=47', '60/12=5'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 10, 70, 54 ]
49
[ "4+10=14", "70/14=5", "54-5=49" ]
Current State: 49:[4, 10, 70, 54], Operations: [] Exploring Operation: 4+10=14, Resulting Numbers: [70, 54, 14] Generated Node #2: [70, 54, 14] from Operation: 4+10=14 Current State: 49:[70, 54, 14], Operations: ['4+10=14'] Exploring Operation: 70/14=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 70/14=5 Current State: 49:[54, 5], Operations: ['4+10=14', '70/14=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 21, 65, 6 ]
42
[ "93-21=72", "72-65=7", "6*7=42" ]
Current State: 42:[93, 21, 65, 6], Operations: [] Exploring Operation: 93-21=72, Resulting Numbers: [65, 6, 72] Generated Node #2: [65, 6, 72] from Operation: 93-21=72 Current State: 42:[65, 6, 72], Operations: ['93-21=72'] Exploring Operation: 72-65=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 72-65=7 Current State: 42:[6, 7], Operations: ['93-21=72', '72-65=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 83, 86, 10, 44 ]
37
[ "86-83=3", "44-10=34", "3+34=37" ]
Current State: 37:[83, 86, 10, 44], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [10, 44, 3] Generated Node #2: [10, 44, 3] from Operation: 86-83=3 Current State: 37:[10, 44, 3], Operations: ['86-83=3'] Exploring Operation: 44-10=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 44-10=34 Current State: 37:[3, 34], Operations: ['86-83=3', '44-10=34'] Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 4, 12, 56 ]
27
[ "56-12=44", "44/4=11", "38-11=27" ]
Current State: 27:[38, 4, 12, 56], Operations: [] Exploring Operation: 56-12=44, Resulting Numbers: [38, 4, 44] Generated Node #2: [38, 4, 44] from Operation: 56-12=44 Current State: 27:[38, 4, 44], Operations: ['56-12=44'] Exploring Operation: 44/4=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 44/4=11 Current State: 27:[38, 11], Operations: ['56-12=44', '44/4=11'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 6, 44, 31 ]
81
[ "12-6=6", "44+31=75", "6+75=81" ]
Current State: 81:[12, 6, 44, 31], Operations: [] Exploring Operation: 12-6=6, Resulting Numbers: [44, 31, 6] Generated Node #2: [44, 31, 6] from Operation: 12-6=6 Current State: 81:[44, 31, 6], Operations: ['12-6=6'] Exploring Operation: 44+31=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 44+31=75 Current State: 81:[6, 75], Operations: ['12-6=6', '44+31=75'] Exploring Operation: 6+75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 43, 97, 28 ]
27
[ "97*28=2716", "2716-43=2673", "2673/99=27" ]
Current State: 27:[99, 43, 97, 28], Operations: [] Exploring Operation: 97*28=2716, Resulting Numbers: [99, 43, 2716] Generated Node #2: [99, 43, 2716] from Operation: 97*28=2716 Current State: 27:[99, 43, 2716], Operations: ['97*28=2716'] Exploring Operation: 2716-43=2673, Resulting Numbers: [99, 2673] Generated Node #3: [99, 2673] from Operation: 2716-43=2673 Current State: 27:[99, 2673], Operations: ['97*28=2716', '2716-43=2673'] Exploring Operation: 2673/99=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 97, 91, 99 ]
48
[ "5+91=96", "99-97=2", "96/2=48" ]
Current State: 48:[5, 97, 91, 99], Operations: [] Exploring Operation: 5+91=96, Resulting Numbers: [97, 99, 96] Generated Node #2: [97, 99, 96] from Operation: 5+91=96 Current State: 48:[97, 99, 96], Operations: ['5+91=96'] Exploring Operation: 99-97=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 99-97=2 Current State: 48:[96, 2], Operations: ['5+91=96', '99-97=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 63, 66, 70, 19 ]
54
[ "66-63=3", "70-19=51", "3+51=54" ]
Current State: 54:[63, 66, 70, 19], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [70, 19, 3] Generated Node #2: [70, 19, 3] from Operation: 66-63=3 Current State: 54:[70, 19, 3], Operations: ['66-63=3'] Exploring Operation: 70-19=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 70-19=51 Current State: 54:[3, 51], Operations: ['66-63=3', '70-19=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 22, 9, 5, 4 ]
34
[ "9+5=14", "4*14=56", "56-22=34" ]
Current State: 34:[22, 9, 5, 4], Operations: [] Exploring Operation: 9+5=14, Resulting Numbers: [22, 4, 14] Generated Node #2: [22, 4, 14] from Operation: 9+5=14 Current State: 34:[22, 4, 14], Operations: ['9+5=14'] Exploring Operation: 4*14=56, Resulting Numbers: [22, 56] Generated Node #3: [22, 56] from Operation: 4*14=56 Current State: 34:[22, 56], Operations: ['9+5=14', '4*14=56'] Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 21, 45, 2 ]
93
[ "6+45=51", "21*2=42", "51+42=93" ]
Current State: 93:[6, 21, 45, 2], Operations: [] Exploring Operation: 6+45=51, Resulting Numbers: [21, 2, 51] Generated Node #2: [21, 2, 51] from Operation: 6+45=51 Current State: 93:[21, 2, 51], Operations: ['6+45=51'] Exploring Operation: 21*2=42, Resulting Numbers: [51, 42] Generated Node #3: [51, 42] from Operation: 21*2=42 Current State: 93:[51, 42], Operations: ['6+45=51', '21*2=42'] Exploring Operation: 51+42=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 85, 11, 67 ]
59
[ "7*11=77", "85-67=18", "77-18=59" ]
Current State: 59:[7, 85, 11, 67], Operations: [] Exploring Operation: 7*11=77, Resulting Numbers: [85, 67, 77] Generated Node #2: [85, 67, 77] from Operation: 7*11=77 Current State: 59:[85, 67, 77], Operations: ['7*11=77'] Exploring Operation: 85-67=18, Resulting Numbers: [77, 18] Generated Node #3: [77, 18] from Operation: 85-67=18 Current State: 59:[77, 18], Operations: ['7*11=77', '85-67=18'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 63, 2, 48 ]
62
[ "97-63=34", "2*48=96", "96-34=62" ]
Current State: 62:[97, 63, 2, 48], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [2, 48, 34] Generated Node #2: [2, 48, 34] from Operation: 97-63=34 Current State: 62:[2, 48, 34], Operations: ['97-63=34'] Exploring Operation: 2*48=96, Resulting Numbers: [34, 96] Generated Node #3: [34, 96] from Operation: 2*48=96 Current State: 62:[34, 96], Operations: ['97-63=34', '2*48=96'] Exploring Operation: 96-34=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 57, 57, 34, 94 ]
94
[ "57-57=0", "34*0=0", "94+0=94" ]
Current State: 94:[57, 57, 34, 94], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [34, 94, 0] Generated Node #2: [34, 94, 0] from Operation: 57-57=0 Current State: 94:[34, 94, 0], Operations: ['57-57=0'] Exploring Operation: 34*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 34*0=0 Current State: 94:[94, 0], Operations: ['57-57=0', '34*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 23, 2, 25, 37 ]
37
[ "23+2=25", "25+37=62", "62-25=37" ]
Current State: 37:[23, 2, 25, 37], Operations: [] Exploring Operation: 23+2=25, Resulting Numbers: [25, 37, 25] Generated Node #2: [25, 37, 25] from Operation: 23+2=25 Current State: 37:[25, 37, 25], Operations: ['23+2=25'] Exploring Operation: 25+37=62, Resulting Numbers: [62] 62,37 equal: Goal Reached Exploring Operation: 62-25=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 34, 72, 99, 67 ]
70
[ "72-34=38", "99-67=32", "38+32=70" ]
Current State: 70:[34, 72, 99, 67], Operations: [] Exploring Operation: 72-34=38, Resulting Numbers: [99, 67, 38] Generated Node #2: [99, 67, 38] from Operation: 72-34=38 Current State: 70:[99, 67, 38], Operations: ['72-34=38'] Exploring Operation: 99-67=32, Resulting Numbers: [38, 32] Generated Node #3: [38, 32] from Operation: 99-67=32 Current State: 70:[38, 32], Operations: ['72-34=38', '99-67=32'] Exploring Operation: 38+32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 75, 52, 48, 62 ]
17
[ "75+52=127", "48+62=110", "127-110=17" ]
Current State: 17:[75, 52, 48, 62], Operations: [] Exploring Operation: 75+52=127, Resulting Numbers: [48, 62, 127] Generated Node #2: [48, 62, 127] from Operation: 75+52=127 Current State: 17:[48, 62, 127], Operations: ['75+52=127'] Exploring Operation: 48+62=110, Resulting Numbers: [127, 110] Generated Node #3: [127, 110] from Operation: 48+62=110 Current State: 17:[127, 110], Operations: ['75+52=127', '48+62=110'] Exploring Operation: 127-110=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 75, 51, 34 ]
73
[ "17+51=68", "68/34=2", "75-2=73" ]
Current State: 73:[17, 75, 51, 34], Operations: [] Exploring Operation: 17+51=68, Resulting Numbers: [75, 34, 68] Generated Node #2: [75, 34, 68] from Operation: 17+51=68 Current State: 73:[75, 34, 68], Operations: ['17+51=68'] Exploring Operation: 68/34=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 68/34=2 Current State: 73:[75, 2], Operations: ['17+51=68', '68/34=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 98, 22, 1, 8 ]
77
[ "98+1=99", "22*8=176", "176-99=77" ]
Current State: 77:[98, 22, 1, 8], Operations: [] Exploring Operation: 98+1=99, Resulting Numbers: [22, 8, 99] Generated Node #2: [22, 8, 99] from Operation: 98+1=99 Current State: 77:[22, 8, 99], Operations: ['98+1=99'] Exploring Operation: 22*8=176, Resulting Numbers: [99, 176] Generated Node #3: [99, 176] from Operation: 22*8=176 Current State: 77:[99, 176], Operations: ['98+1=99', '22*8=176'] Exploring Operation: 176-99=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4