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
[ 16, 5, 46, 44 ]
90
[ "16+46=62", "62-44=18", "5*18=90" ]
Current State: 90:[16, 5, 46, 44], Operations: [] Exploring Operation: 16+46=62, Resulting Numbers: [5, 44, 62] Generated Node #2: [5, 44, 62] from Operation: 16+46=62 Current State: 90:[5, 44, 62], Operations: ['16+46=62'] Exploring Operation: 62-44=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 62-44=18 Current State: 90:[5, 18], Operations: ['16+46=62', '62-44=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 82, 28, 11 ]
83
[ "82-16=66", "28-11=17", "66+17=83" ]
Current State: 83:[16, 82, 28, 11], Operations: [] Exploring Operation: 82-16=66, Resulting Numbers: [28, 11, 66] Generated Node #2: [28, 11, 66] from Operation: 82-16=66 Current State: 83:[28, 11, 66], Operations: ['82-16=66'] Exploring Operation: 28-11=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 28-11=17 Current State: 83:[66, 17], Operations: ['82-16=66', '28-11=17'] Exploring Operation: 66+17=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 20, 4, 15 ]
69
[ "60+20=80", "15-4=11", "80-11=69" ]
Current State: 69:[60, 20, 4, 15], Operations: [] Exploring Operation: 60+20=80, Resulting Numbers: [4, 15, 80] Generated Node #2: [4, 15, 80] from Operation: 60+20=80 Current State: 69:[4, 15, 80], Operations: ['60+20=80'] Exploring Operation: 15-4=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 15-4=11 Current State: 69:[80, 11], Operations: ['60+20=80', '15-4=11'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 89, 22, 21 ]
95
[ "89+21=110", "19*110=2090", "2090/22=95" ]
Current State: 95:[19, 89, 22, 21], Operations: [] Exploring Operation: 89+21=110, Resulting Numbers: [19, 22, 110] Generated Node #2: [19, 22, 110] from Operation: 89+21=110 Current State: 95:[19, 22, 110], Operations: ['89+21=110'] Exploring Operation: 19*110=2090, Resulting Numbers: [22, 2090] Generated Node #3: [22, 2090] from Operation: 19*110=2090 Current State: 95:[22, 2090], Operations: ['89+21=110', '19*110=2090'] Exploring Operation: 2090/22=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 33, 37, 69, 2 ]
61
[ "37-33=4", "2*4=8", "69-8=61" ]
Current State: 61:[33, 37, 69, 2], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [69, 2, 4] Generated Node #2: [69, 2, 4] from Operation: 37-33=4 Current State: 61:[69, 2, 4], Operations: ['37-33=4'] Exploring Operation: 2*4=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 2*4=8 Current State: 61:[69, 8], Operations: ['37-33=4', '2*4=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 42, 71, 7 ]
32
[ "68+42=110", "71+7=78", "110-78=32" ]
Current State: 32:[68, 42, 71, 7], Operations: [] Exploring Operation: 68+42=110, Resulting Numbers: [71, 7, 110] Generated Node #2: [71, 7, 110] from Operation: 68+42=110 Current State: 32:[71, 7, 110], Operations: ['68+42=110'] Exploring Operation: 71+7=78, Resulting Numbers: [110, 78] Generated Node #3: [110, 78] from Operation: 71+7=78 Current State: 32:[110, 78], Operations: ['68+42=110', '71+7=78'] Exploring Operation: 110-78=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 9, 19, 59 ]
72
[ "9-3=6", "19+59=78", "78-6=72" ]
Current State: 72:[3, 9, 19, 59], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [19, 59, 6] Generated Node #2: [19, 59, 6] from Operation: 9-3=6 Current State: 72:[19, 59, 6], Operations: ['9-3=6'] Exploring Operation: 19+59=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 19+59=78 Current State: 72:[6, 78], Operations: ['9-3=6', '19+59=78'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 8, 94, 15 ]
62
[ "19-15=4", "8*4=32", "94-32=62" ]
Current State: 62:[19, 8, 94, 15], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [8, 94, 4] Generated Node #2: [8, 94, 4] from Operation: 19-15=4 Current State: 62:[8, 94, 4], Operations: ['19-15=4'] Exploring Operation: 8*4=32, Resulting Numbers: [94, 32] Generated Node #3: [94, 32] from Operation: 8*4=32 Current State: 62:[94, 32], Operations: ['19-15=4', '8*4=32'] Exploring Operation: 94-32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 13, 33, 94, 15 ]
68
[ "13*15=195", "33+94=127", "195-127=68" ]
Current State: 68:[13, 33, 94, 15], Operations: [] Exploring Operation: 13*15=195, Resulting Numbers: [33, 94, 195] Generated Node #2: [33, 94, 195] from Operation: 13*15=195 Current State: 68:[33, 94, 195], Operations: ['13*15=195'] Exploring Operation: 33+94=127, Resulting Numbers: [195, 127] Generated Node #3: [195, 127] from Operation: 33+94=127 Current State: 68:[195, 127], Operations: ['13*15=195', '33+94=127'] Exploring Operation: 195-127=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 64, 95, 34 ]
83
[ "64-42=22", "95-34=61", "22+61=83" ]
Current State: 83:[42, 64, 95, 34], Operations: [] Exploring Operation: 64-42=22, Resulting Numbers: [95, 34, 22] Generated Node #2: [95, 34, 22] from Operation: 64-42=22 Current State: 83:[95, 34, 22], Operations: ['64-42=22'] Exploring Operation: 95-34=61, Resulting Numbers: [22, 61] Generated Node #3: [22, 61] from Operation: 95-34=61 Current State: 83:[22, 61], Operations: ['64-42=22', '95-34=61'] Exploring Operation: 22+61=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 22, 73, 15, 80 ]
83
[ "80-73=7", "15*7=105", "105-22=83" ]
Current State: 83:[22, 73, 15, 80], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [22, 15, 7] Generated Node #2: [22, 15, 7] from Operation: 80-73=7 Current State: 83:[22, 15, 7], Operations: ['80-73=7'] Exploring Operation: 15*7=105, Resulting Numbers: [22, 105] Generated Node #3: [22, 105] from Operation: 15*7=105 Current State: 83:[22, 105], Operations: ['80-73=7', '15*7=105'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 51, 74, 21 ]
16
[ "21/3=7", "74-51=23", "23-7=16" ]
Current State: 16:[3, 51, 74, 21], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [51, 74, 7] Generated Node #2: [51, 74, 7] from Operation: 21/3=7 Current State: 16:[51, 74, 7], Operations: ['21/3=7'] Exploring Operation: 74-51=23, Resulting Numbers: [7, 23] Generated Node #3: [7, 23] from Operation: 74-51=23 Current State: 16:[7, 23], Operations: ['21/3=7', '74-51=23'] Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 42, 38, 34 ]
22
[ "42-34=8", "2*8=16", "38-16=22" ]
Current State: 22:[2, 42, 38, 34], Operations: [] Exploring Operation: 42-34=8, Resulting Numbers: [2, 38, 8] Generated Node #2: [2, 38, 8] from Operation: 42-34=8 Current State: 22:[2, 38, 8], Operations: ['42-34=8'] Exploring Operation: 2*8=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 2*8=16 Current State: 22:[38, 16], Operations: ['42-34=8', '2*8=16'] Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 22, 40, 62 ]
27
[ "97-22=75", "40+62=102", "102-75=27" ]
Current State: 27:[97, 22, 40, 62], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [40, 62, 75] Generated Node #2: [40, 62, 75] from Operation: 97-22=75 Current State: 27:[40, 62, 75], Operations: ['97-22=75'] Exploring Operation: 40+62=102, Resulting Numbers: [75, 102] Generated Node #3: [75, 102] from Operation: 40+62=102 Current State: 27:[75, 102], Operations: ['97-22=75', '40+62=102'] Exploring Operation: 102-75=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 72, 6, 47, 45 ]
69
[ "47-45=2", "6/2=3", "72-3=69" ]
Current State: 69:[72, 6, 47, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [72, 6, 2] Generated Node #2: [72, 6, 2] from Operation: 47-45=2 Current State: 69:[72, 6, 2], Operations: ['47-45=2'] Exploring Operation: 6/2=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 6/2=3 Current State: 69:[72, 3], Operations: ['47-45=2', '6/2=3'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 30, 3, 45 ]
37
[ "45-24=21", "21/3=7", "30+7=37" ]
Current State: 37:[24, 30, 3, 45], Operations: [] Exploring Operation: 45-24=21, Resulting Numbers: [30, 3, 21] Generated Node #2: [30, 3, 21] from Operation: 45-24=21 Current State: 37:[30, 3, 21], Operations: ['45-24=21'] Exploring Operation: 21/3=7, Resulting Numbers: [30, 7] Generated Node #3: [30, 7] from Operation: 21/3=7 Current State: 37:[30, 7], Operations: ['45-24=21', '21/3=7'] Exploring Operation: 30+7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 10, 32, 22 ]
67
[ "87-10=77", "32-22=10", "77-10=67" ]
Current State: 67:[87, 10, 32, 22], Operations: [] Exploring Operation: 87-10=77, Resulting Numbers: [32, 22, 77] Generated Node #2: [32, 22, 77] from Operation: 87-10=77 Current State: 67:[32, 22, 77], Operations: ['87-10=77'] Exploring Operation: 32-22=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 32-22=10 Current State: 67:[77, 10], Operations: ['87-10=77', '32-22=10'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 8, 58, 10, 15 ]
12
[ "15-8=7", "10*7=70", "70-58=12" ]
Current State: 12:[8, 58, 10, 15], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [58, 10, 7] Generated Node #2: [58, 10, 7] from Operation: 15-8=7 Current State: 12:[58, 10, 7], Operations: ['15-8=7'] Exploring Operation: 10*7=70, Resulting Numbers: [58, 70] Generated Node #3: [58, 70] from Operation: 10*7=70 Current State: 12:[58, 70], Operations: ['15-8=7', '10*7=70'] Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 65, 13, 42 ]
25
[ "42-12=30", "65/13=5", "30-5=25" ]
Current State: 25:[12, 65, 13, 42], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [65, 13, 30] Generated Node #2: [65, 13, 30] from Operation: 42-12=30 Current State: 25:[65, 13, 30], Operations: ['42-12=30'] Exploring Operation: 65/13=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 65/13=5 Current State: 25:[30, 5], Operations: ['42-12=30', '65/13=5'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 29, 47, 78, 2 ]
62
[ "47-29=18", "78+2=80", "80-18=62" ]
Current State: 62:[29, 47, 78, 2], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [78, 2, 18] Generated Node #2: [78, 2, 18] from Operation: 47-29=18 Current State: 62:[78, 2, 18], Operations: ['47-29=18'] Exploring Operation: 78+2=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 78+2=80 Current State: 62:[18, 80], Operations: ['47-29=18', '78+2=80'] Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 15, 45, 37 ]
34
[ "27+15=42", "45-37=8", "42-8=34" ]
Current State: 34:[27, 15, 45, 37], Operations: [] Exploring Operation: 27+15=42, Resulting Numbers: [45, 37, 42] Generated Node #2: [45, 37, 42] from Operation: 27+15=42 Current State: 34:[45, 37, 42], Operations: ['27+15=42'] Exploring Operation: 45-37=8, Resulting Numbers: [42, 8] Generated Node #3: [42, 8] from Operation: 45-37=8 Current State: 34:[42, 8], Operations: ['27+15=42', '45-37=8'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 82, 8, 49, 53 ]
55
[ "49-8=41", "82/41=2", "53+2=55" ]
Current State: 55:[82, 8, 49, 53], Operations: [] Exploring Operation: 49-8=41, Resulting Numbers: [82, 53, 41] Generated Node #2: [82, 53, 41] from Operation: 49-8=41 Current State: 55:[82, 53, 41], Operations: ['49-8=41'] Exploring Operation: 82/41=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 82/41=2 Current State: 55:[53, 2], Operations: ['49-8=41', '82/41=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 5, 35, 84 ]
100
[ "87-84=3", "35*3=105", "105-5=100" ]
Current State: 100:[87, 5, 35, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [5, 35, 3] Generated Node #2: [5, 35, 3] from Operation: 87-84=3 Current State: 100:[5, 35, 3], Operations: ['87-84=3'] Exploring Operation: 35*3=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 35*3=105 Current State: 100:[5, 105], Operations: ['87-84=3', '35*3=105'] Exploring Operation: 105-5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 90, 22, 54 ]
13
[ "22*54=1188", "1188-18=1170", "1170/90=13" ]
Current State: 13:[18, 90, 22, 54], Operations: [] Exploring Operation: 22*54=1188, Resulting Numbers: [18, 90, 1188] Generated Node #2: [18, 90, 1188] from Operation: 22*54=1188 Current State: 13:[18, 90, 1188], Operations: ['22*54=1188'] Exploring Operation: 1188-18=1170, Resulting Numbers: [90, 1170] Generated Node #3: [90, 1170] from Operation: 1188-18=1170 Current State: 13:[90, 1170], Operations: ['22*54=1188', '1188-18=1170'] Exploring Operation: 1170/90=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 34, 24, 40, 57 ]
26
[ "57-40=17", "34/17=2", "24+2=26" ]
Current State: 26:[34, 24, 40, 57], Operations: [] Exploring Operation: 57-40=17, Resulting Numbers: [34, 24, 17] Generated Node #2: [34, 24, 17] from Operation: 57-40=17 Current State: 26:[34, 24, 17], Operations: ['57-40=17'] Exploring Operation: 34/17=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 34/17=2 Current State: 26:[24, 2], Operations: ['57-40=17', '34/17=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 83, 18, 2 ]
58
[ "83-41=42", "18-2=16", "42+16=58" ]
Current State: 58:[41, 83, 18, 2], Operations: [] Exploring Operation: 83-41=42, Resulting Numbers: [18, 2, 42] Generated Node #2: [18, 2, 42] from Operation: 83-41=42 Current State: 58:[18, 2, 42], Operations: ['83-41=42'] Exploring Operation: 18-2=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 18-2=16 Current State: 58:[42, 16], Operations: ['83-41=42', '18-2=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 47, 75, 16, 50 ]
23
[ "75*16=1200", "1200/50=24", "47-24=23" ]
Current State: 23:[47, 75, 16, 50], Operations: [] Exploring Operation: 75*16=1200, Resulting Numbers: [47, 50, 1200] Generated Node #2: [47, 50, 1200] from Operation: 75*16=1200 Current State: 23:[47, 50, 1200], Operations: ['75*16=1200'] Exploring Operation: 1200/50=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 1200/50=24 Current State: 23:[47, 24], Operations: ['75*16=1200', '1200/50=24'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 20, 86, 21 ]
43
[ "84-20=64", "86+21=107", "107-64=43" ]
Current State: 43:[84, 20, 86, 21], Operations: [] Exploring Operation: 84-20=64, Resulting Numbers: [86, 21, 64] Generated Node #2: [86, 21, 64] from Operation: 84-20=64 Current State: 43:[86, 21, 64], Operations: ['84-20=64'] Exploring Operation: 86+21=107, Resulting Numbers: [64, 107] Generated Node #3: [64, 107] from Operation: 86+21=107 Current State: 43:[64, 107], Operations: ['84-20=64', '86+21=107'] Exploring Operation: 107-64=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 39, 66, 47, 20 ]
78
[ "39+66=105", "47-20=27", "105-27=78" ]
Current State: 78:[39, 66, 47, 20], Operations: [] Exploring Operation: 39+66=105, Resulting Numbers: [47, 20, 105] Generated Node #2: [47, 20, 105] from Operation: 39+66=105 Current State: 78:[47, 20, 105], Operations: ['39+66=105'] Exploring Operation: 47-20=27, Resulting Numbers: [105, 27] Generated Node #3: [105, 27] from Operation: 47-20=27 Current State: 78:[105, 27], Operations: ['39+66=105', '47-20=27'] Exploring Operation: 105-27=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 36, 96, 66, 44 ]
54
[ "44-36=8", "96/8=12", "66-12=54" ]
Current State: 54:[36, 96, 66, 44], Operations: [] Exploring Operation: 44-36=8, Resulting Numbers: [96, 66, 8] Generated Node #2: [96, 66, 8] from Operation: 44-36=8 Current State: 54:[96, 66, 8], Operations: ['44-36=8'] Exploring Operation: 96/8=12, Resulting Numbers: [66, 12] Generated Node #3: [66, 12] from Operation: 96/8=12 Current State: 54:[66, 12], Operations: ['44-36=8', '96/8=12'] Exploring Operation: 66-12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 71, 3, 94, 2 ]
51
[ "71*2=142", "94-3=91", "142-91=51" ]
Current State: 51:[71, 3, 94, 2], Operations: [] Exploring Operation: 71*2=142, Resulting Numbers: [3, 94, 142] Generated Node #2: [3, 94, 142] from Operation: 71*2=142 Current State: 51:[3, 94, 142], Operations: ['71*2=142'] Exploring Operation: 94-3=91, Resulting Numbers: [142, 91] Generated Node #3: [142, 91] from Operation: 94-3=91 Current State: 51:[142, 91], Operations: ['71*2=142', '94-3=91'] Exploring Operation: 142-91=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 41, 50, 14 ]
82
[ "50-41=9", "14*9=126", "126-44=82" ]
Current State: 82:[44, 41, 50, 14], Operations: [] Exploring Operation: 50-41=9, Resulting Numbers: [44, 14, 9] Generated Node #2: [44, 14, 9] from Operation: 50-41=9 Current State: 82:[44, 14, 9], Operations: ['50-41=9'] Exploring Operation: 14*9=126, Resulting Numbers: [44, 126] Generated Node #3: [44, 126] from Operation: 14*9=126 Current State: 82:[44, 126], Operations: ['50-41=9', '14*9=126'] Exploring Operation: 126-44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 56, 95, 17 ]
57
[ "77-56=21", "95-17=78", "78-21=57" ]
Current State: 57:[77, 56, 95, 17], Operations: [] Exploring Operation: 77-56=21, Resulting Numbers: [95, 17, 21] Generated Node #2: [95, 17, 21] from Operation: 77-56=21 Current State: 57:[95, 17, 21], Operations: ['77-56=21'] Exploring Operation: 95-17=78, Resulting Numbers: [21, 78] Generated Node #3: [21, 78] from Operation: 95-17=78 Current State: 57:[21, 78], Operations: ['77-56=21', '95-17=78'] Exploring Operation: 78-21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 74, 18, 22, 12 ]
90
[ "74-18=56", "22+12=34", "56+34=90" ]
Current State: 90:[74, 18, 22, 12], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [22, 12, 56] Generated Node #2: [22, 12, 56] from Operation: 74-18=56 Current State: 90:[22, 12, 56], Operations: ['74-18=56'] Exploring Operation: 22+12=34, Resulting Numbers: [56, 34] Generated Node #3: [56, 34] from Operation: 22+12=34 Current State: 90:[56, 34], Operations: ['74-18=56', '22+12=34'] Exploring Operation: 56+34=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 48, 83, 86, 34 ]
86
[ "83-48=35", "35-34=1", "86*1=86" ]
Current State: 86:[48, 83, 86, 34], Operations: [] Exploring Operation: 83-48=35, Resulting Numbers: [86, 34, 35] Generated Node #2: [86, 34, 35] from Operation: 83-48=35 Current State: 86:[86, 34, 35], Operations: ['83-48=35'] Exploring Operation: 35-34=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 35-34=1 Current State: 86:[86, 1], Operations: ['83-48=35', '35-34=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 35, 23, 93 ]
14
[ "28*35=980", "93-23=70", "980/70=14" ]
Current State: 14:[28, 35, 23, 93], Operations: [] Exploring Operation: 28*35=980, Resulting Numbers: [23, 93, 980] Generated Node #2: [23, 93, 980] from Operation: 28*35=980 Current State: 14:[23, 93, 980], Operations: ['28*35=980'] Exploring Operation: 93-23=70, Resulting Numbers: [980, 70] Generated Node #3: [980, 70] from Operation: 93-23=70 Current State: 14:[980, 70], Operations: ['28*35=980', '93-23=70'] Exploring Operation: 980/70=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 14, 87, 6 ]
11
[ "14*6=84", "87-84=3", "33/3=11" ]
Current State: 11:[33, 14, 87, 6], Operations: [] Exploring Operation: 14*6=84, Resulting Numbers: [33, 87, 84] Generated Node #2: [33, 87, 84] from Operation: 14*6=84 Current State: 11:[33, 87, 84], Operations: ['14*6=84'] Exploring Operation: 87-84=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 87-84=3 Current State: 11:[33, 3], Operations: ['14*6=84', '87-84=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 53, 2, 1, 98 ]
15
[ "98-53=45", "2+1=3", "45/3=15" ]
Current State: 15:[53, 2, 1, 98], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [2, 1, 45] Generated Node #2: [2, 1, 45] from Operation: 98-53=45 Current State: 15:[2, 1, 45], Operations: ['98-53=45'] Exploring Operation: 2+1=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 2+1=3 Current State: 15:[45, 3], Operations: ['98-53=45', '2+1=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 91, 28, 56, 43 ]
50
[ "91-28=63", "56-43=13", "63-13=50" ]
Current State: 50:[91, 28, 56, 43], Operations: [] Exploring Operation: 91-28=63, Resulting Numbers: [56, 43, 63] Generated Node #2: [56, 43, 63] from Operation: 91-28=63 Current State: 50:[56, 43, 63], Operations: ['91-28=63'] Exploring Operation: 56-43=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 56-43=13 Current State: 50:[63, 13], Operations: ['91-28=63', '56-43=13'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 76, 66, 33, 29 ]
49
[ "76-29=47", "66/33=2", "47+2=49" ]
Current State: 49:[76, 66, 33, 29], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [66, 33, 47] Generated Node #2: [66, 33, 47] from Operation: 76-29=47 Current State: 49:[66, 33, 47], Operations: ['76-29=47'] Exploring Operation: 66/33=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 66/33=2 Current State: 49:[47, 2], Operations: ['76-29=47', '66/33=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 32, 48, 43, 40 ]
47
[ "48-40=8", "32/8=4", "43+4=47" ]
Current State: 47:[32, 48, 43, 40], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [32, 43, 8] Generated Node #2: [32, 43, 8] from Operation: 48-40=8 Current State: 47:[32, 43, 8], Operations: ['48-40=8'] Exploring Operation: 32/8=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 32/8=4 Current State: 47:[43, 4], Operations: ['48-40=8', '32/8=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 73, 78, 2, 3 ]
71
[ "73*2=146", "78-3=75", "146-75=71" ]
Current State: 71:[73, 78, 2, 3], Operations: [] Exploring Operation: 73*2=146, Resulting Numbers: [78, 3, 146] Generated Node #2: [78, 3, 146] from Operation: 73*2=146 Current State: 71:[78, 3, 146], Operations: ['73*2=146'] Exploring Operation: 78-3=75, Resulting Numbers: [146, 75] Generated Node #3: [146, 75] from Operation: 78-3=75 Current State: 71:[146, 75], Operations: ['73*2=146', '78-3=75'] Exploring Operation: 146-75=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 9, 69, 46 ]
22
[ "5*9=45", "69-46=23", "45-23=22" ]
Current State: 22:[5, 9, 69, 46], Operations: [] Exploring Operation: 5*9=45, Resulting Numbers: [69, 46, 45] Generated Node #2: [69, 46, 45] from Operation: 5*9=45 Current State: 22:[69, 46, 45], Operations: ['5*9=45'] Exploring Operation: 69-46=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 69-46=23 Current State: 22:[45, 23], Operations: ['5*9=45', '69-46=23'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 38, 2, 79 ]
34
[ "79-37=42", "38*2=76", "76-42=34" ]
Current State: 34:[37, 38, 2, 79], Operations: [] Exploring Operation: 79-37=42, Resulting Numbers: [38, 2, 42] Generated Node #2: [38, 2, 42] from Operation: 79-37=42 Current State: 34:[38, 2, 42], Operations: ['79-37=42'] Exploring Operation: 38*2=76, Resulting Numbers: [42, 76] Generated Node #3: [42, 76] from Operation: 38*2=76 Current State: 34:[42, 76], Operations: ['79-37=42', '38*2=76'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 62, 69, 65, 19 ]
53
[ "69-62=7", "65-19=46", "7+46=53" ]
Current State: 53:[62, 69, 65, 19], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [65, 19, 7] Generated Node #2: [65, 19, 7] from Operation: 69-62=7 Current State: 53:[65, 19, 7], Operations: ['69-62=7'] Exploring Operation: 65-19=46, Resulting Numbers: [7, 46] Generated Node #3: [7, 46] from Operation: 65-19=46 Current State: 53:[7, 46], Operations: ['69-62=7', '65-19=46'] Exploring Operation: 7+46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 8, 68, 34 ]
64
[ "68/34=2", "8/2=4", "68-4=64" ]
Current State: 64:[68, 8, 68, 34], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [8, 2] Generated Node #2: [8, 2] from Operation: 68/34=2 Current State: 64:[8, 2], Operations: ['68/34=2'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,64 equal: Goal Reached Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 57, 68, 68, 2 ]
57
[ "68-68=0", "2*0=0", "57+0=57" ]
Current State: 57:[57, 68, 68, 2], Operations: [] Exploring Operation: 68-68=0, Resulting Numbers: [57, 2, 0] Generated Node #2: [57, 2, 0] from Operation: 68-68=0 Current State: 57:[57, 2, 0], Operations: ['68-68=0'] Exploring Operation: 2*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 2*0=0 Current State: 57:[57, 0], Operations: ['68-68=0', '2*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 22, 66, 82, 14 ]
93
[ "66/22=3", "82+14=96", "96-3=93" ]
Current State: 93:[22, 66, 82, 14], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [82, 14, 3] Generated Node #2: [82, 14, 3] from Operation: 66/22=3 Current State: 93:[82, 14, 3], Operations: ['66/22=3'] Exploring Operation: 82+14=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 82+14=96 Current State: 93:[3, 96], Operations: ['66/22=3', '82+14=96'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 34, 61, 24, 44 ]
59
[ "24+44=68", "68/34=2", "61-2=59" ]
Current State: 59:[34, 61, 24, 44], Operations: [] Exploring Operation: 24+44=68, Resulting Numbers: [34, 61, 68] Generated Node #2: [34, 61, 68] from Operation: 24+44=68 Current State: 59:[34, 61, 68], Operations: ['24+44=68'] Exploring Operation: 68/34=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 68/34=2 Current State: 59:[61, 2], Operations: ['24+44=68', '68/34=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 38, 44, 9 ]
50
[ "44-38=6", "75*6=450", "450/9=50" ]
Current State: 50:[75, 38, 44, 9], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [75, 9, 6] Generated Node #2: [75, 9, 6] from Operation: 44-38=6 Current State: 50:[75, 9, 6], Operations: ['44-38=6'] Exploring Operation: 75*6=450, Resulting Numbers: [9, 450] Generated Node #3: [9, 450] from Operation: 75*6=450 Current State: 50:[9, 450], Operations: ['44-38=6', '75*6=450'] Exploring Operation: 450/9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 30, 94, 50 ]
56
[ "86+94=180", "180/30=6", "50+6=56" ]
Current State: 56:[86, 30, 94, 50], Operations: [] Exploring Operation: 86+94=180, Resulting Numbers: [30, 50, 180] Generated Node #2: [30, 50, 180] from Operation: 86+94=180 Current State: 56:[30, 50, 180], Operations: ['86+94=180'] Exploring Operation: 180/30=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 180/30=6 Current State: 56:[50, 6], Operations: ['86+94=180', '180/30=6'] Exploring Operation: 50+6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 76, 98, 18, 73 ]
92
[ "76-73=3", "18/3=6", "98-6=92" ]
Current State: 92:[76, 98, 18, 73], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [98, 18, 3] Generated Node #2: [98, 18, 3] from Operation: 76-73=3 Current State: 92:[98, 18, 3], Operations: ['76-73=3'] Exploring Operation: 18/3=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 18/3=6 Current State: 92:[98, 6], Operations: ['76-73=3', '18/3=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 15, 11, 8 ]
99
[ "10+11=21", "15*8=120", "120-21=99" ]
Current State: 99:[10, 15, 11, 8], Operations: [] Exploring Operation: 10+11=21, Resulting Numbers: [15, 8, 21] Generated Node #2: [15, 8, 21] from Operation: 10+11=21 Current State: 99:[15, 8, 21], Operations: ['10+11=21'] Exploring Operation: 15*8=120, Resulting Numbers: [21, 120] Generated Node #3: [21, 120] from Operation: 15*8=120 Current State: 99:[21, 120], Operations: ['10+11=21', '15*8=120'] Exploring Operation: 120-21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 75, 40, 32, 14 ]
17
[ "75-40=35", "32-14=18", "35-18=17" ]
Current State: 17:[75, 40, 32, 14], Operations: [] Exploring Operation: 75-40=35, Resulting Numbers: [32, 14, 35] Generated Node #2: [32, 14, 35] from Operation: 75-40=35 Current State: 17:[32, 14, 35], Operations: ['75-40=35'] Exploring Operation: 32-14=18, Resulting Numbers: [35, 18] Generated Node #3: [35, 18] from Operation: 32-14=18 Current State: 17:[35, 18], Operations: ['75-40=35', '32-14=18'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 57, 13, 81, 76 ]
87
[ "57+13=70", "81+76=157", "157-70=87" ]
Current State: 87:[57, 13, 81, 76], Operations: [] Exploring Operation: 57+13=70, Resulting Numbers: [81, 76, 70] Generated Node #2: [81, 76, 70] from Operation: 57+13=70 Current State: 87:[81, 76, 70], Operations: ['57+13=70'] Exploring Operation: 81+76=157, Resulting Numbers: [70, 157] Generated Node #3: [70, 157] from Operation: 81+76=157 Current State: 87:[70, 157], Operations: ['57+13=70', '81+76=157'] Exploring Operation: 157-70=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 4, 19, 20 ]
62
[ "19-1=18", "4*20=80", "80-18=62" ]
Current State: 62:[1, 4, 19, 20], Operations: [] Exploring Operation: 19-1=18, Resulting Numbers: [4, 20, 18] Generated Node #2: [4, 20, 18] from Operation: 19-1=18 Current State: 62:[4, 20, 18], Operations: ['19-1=18'] Exploring Operation: 4*20=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 4*20=80 Current State: 62:[18, 80], Operations: ['19-1=18', '4*20=80'] Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 12, 76, 74 ]
14
[ "1*12=12", "76-74=2", "12+2=14" ]
Current State: 14:[1, 12, 76, 74], Operations: [] Exploring Operation: 1*12=12, Resulting Numbers: [76, 74, 12] Generated Node #2: [76, 74, 12] from Operation: 1*12=12 Current State: 14:[76, 74, 12], Operations: ['1*12=12'] Exploring Operation: 76-74=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 76-74=2 Current State: 14:[12, 2], Operations: ['1*12=12', '76-74=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 21, 38, 50, 16 ]
49
[ "38-21=17", "50+16=66", "66-17=49" ]
Current State: 49:[21, 38, 50, 16], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [50, 16, 17] Generated Node #2: [50, 16, 17] from Operation: 38-21=17 Current State: 49:[50, 16, 17], Operations: ['38-21=17'] Exploring Operation: 50+16=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 50+16=66 Current State: 49:[17, 66], Operations: ['38-21=17', '50+16=66'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 14, 55, 90 ]
29
[ "14-8=6", "90-55=35", "35-6=29" ]
Current State: 29:[8, 14, 55, 90], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [55, 90, 6] Generated Node #2: [55, 90, 6] from Operation: 14-8=6 Current State: 29:[55, 90, 6], Operations: ['14-8=6'] Exploring Operation: 90-55=35, Resulting Numbers: [6, 35] Generated Node #3: [6, 35] from Operation: 90-55=35 Current State: 29:[6, 35], Operations: ['14-8=6', '90-55=35'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 6, 83, 22, 90 ]
90
[ "90/6=15", "83+22=105", "105-15=90" ]
Current State: 90:[6, 83, 22, 90], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [83, 22, 15] Generated Node #2: [83, 22, 15] from Operation: 90/6=15 Current State: 90:[83, 22, 15], Operations: ['90/6=15'] Exploring Operation: 83+22=105, Resulting Numbers: [15, 105] Generated Node #3: [15, 105] from Operation: 83+22=105 Current State: 90:[15, 105], Operations: ['90/6=15', '83+22=105'] Exploring Operation: 105-15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 11, 4, 26, 82 ]
41
[ "11+4=15", "82-26=56", "56-15=41" ]
Current State: 41:[11, 4, 26, 82], Operations: [] Exploring Operation: 11+4=15, Resulting Numbers: [26, 82, 15] Generated Node #2: [26, 82, 15] from Operation: 11+4=15 Current State: 41:[26, 82, 15], Operations: ['11+4=15'] Exploring Operation: 82-26=56, Resulting Numbers: [15, 56] Generated Node #3: [15, 56] from Operation: 82-26=56 Current State: 41:[15, 56], Operations: ['11+4=15', '82-26=56'] Exploring Operation: 56-15=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 57, 3, 7 ]
41
[ "3*3=9", "57-7=50", "50-9=41" ]
Current State: 41:[3, 57, 3, 7], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [57, 7, 9] Generated Node #2: [57, 7, 9] from Operation: 3*3=9 Current State: 41:[57, 7, 9], Operations: ['3*3=9'] Exploring Operation: 57-7=50, Resulting Numbers: [9, 50] Generated Node #3: [9, 50] from Operation: 57-7=50 Current State: 41:[9, 50], Operations: ['3*3=9', '57-7=50'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 80, 18, 86 ]
77
[ "86-32=54", "54/18=3", "80-3=77" ]
Current State: 77:[32, 80, 18, 86], Operations: [] Exploring Operation: 86-32=54, Resulting Numbers: [80, 18, 54] Generated Node #2: [80, 18, 54] from Operation: 86-32=54 Current State: 77:[80, 18, 54], Operations: ['86-32=54'] Exploring Operation: 54/18=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 54/18=3 Current State: 77:[80, 3], Operations: ['86-32=54', '54/18=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 16, 53, 36, 91 ]
20
[ "53+91=144", "144/36=4", "16+4=20" ]
Current State: 20:[16, 53, 36, 91], Operations: [] Exploring Operation: 53+91=144, Resulting Numbers: [16, 36, 144] Generated Node #2: [16, 36, 144] from Operation: 53+91=144 Current State: 20:[16, 36, 144], Operations: ['53+91=144'] Exploring Operation: 144/36=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 144/36=4 Current State: 20:[16, 4], Operations: ['53+91=144', '144/36=4'] Exploring Operation: 16+4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 88, 6, 62 ]
74
[ "42+88=130", "62-6=56", "130-56=74" ]
Current State: 74:[42, 88, 6, 62], Operations: [] Exploring Operation: 42+88=130, Resulting Numbers: [6, 62, 130] Generated Node #2: [6, 62, 130] from Operation: 42+88=130 Current State: 74:[6, 62, 130], Operations: ['42+88=130'] Exploring Operation: 62-6=56, Resulting Numbers: [130, 56] Generated Node #3: [130, 56] from Operation: 62-6=56 Current State: 74:[130, 56], Operations: ['42+88=130', '62-6=56'] Exploring Operation: 130-56=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 64, 61, 32, 96 ]
33
[ "64/32=2", "96-61=35", "35-2=33" ]
Current State: 33:[64, 61, 32, 96], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [61, 96, 2] Generated Node #2: [61, 96, 2] from Operation: 64/32=2 Current State: 33:[61, 96, 2], Operations: ['64/32=2'] Exploring Operation: 96-61=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 96-61=35 Current State: 33:[2, 35], Operations: ['64/32=2', '96-61=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 86, 41, 61, 19 ]
85
[ "86+41=127", "61-19=42", "127-42=85" ]
Current State: 85:[86, 41, 61, 19], Operations: [] Exploring Operation: 86+41=127, Resulting Numbers: [61, 19, 127] Generated Node #2: [61, 19, 127] from Operation: 86+41=127 Current State: 85:[61, 19, 127], Operations: ['86+41=127'] Exploring Operation: 61-19=42, Resulting Numbers: [127, 42] Generated Node #3: [127, 42] from Operation: 61-19=42 Current State: 85:[127, 42], Operations: ['86+41=127', '61-19=42'] Exploring Operation: 127-42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 93, 52, 53, 27 ]
67
[ "93-52=41", "53-27=26", "41+26=67" ]
Current State: 67:[93, 52, 53, 27], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [53, 27, 41] Generated Node #2: [53, 27, 41] from Operation: 93-52=41 Current State: 67:[53, 27, 41], Operations: ['93-52=41'] Exploring Operation: 53-27=26, Resulting Numbers: [41, 26] Generated Node #3: [41, 26] from Operation: 53-27=26 Current State: 67:[41, 26], Operations: ['93-52=41', '53-27=26'] Exploring Operation: 41+26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 55, 5, 29, 92 ]
38
[ "55-29=26", "5*26=130", "130-92=38" ]
Current State: 38:[55, 5, 29, 92], Operations: [] Exploring Operation: 55-29=26, Resulting Numbers: [5, 92, 26] Generated Node #2: [5, 92, 26] from Operation: 55-29=26 Current State: 38:[5, 92, 26], Operations: ['55-29=26'] Exploring Operation: 5*26=130, Resulting Numbers: [92, 130] Generated Node #3: [92, 130] from Operation: 5*26=130 Current State: 38:[92, 130], Operations: ['55-29=26', '5*26=130'] Exploring Operation: 130-92=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 28, 7, 18 ]
45
[ "28-7=21", "21-18=3", "15*3=45" ]
Current State: 45:[15, 28, 7, 18], Operations: [] Exploring Operation: 28-7=21, Resulting Numbers: [15, 18, 21] Generated Node #2: [15, 18, 21] from Operation: 28-7=21 Current State: 45:[15, 18, 21], Operations: ['28-7=21'] Exploring Operation: 21-18=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 21-18=3 Current State: 45:[15, 3], Operations: ['28-7=21', '21-18=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 3, 57, 97 ]
75
[ "97-53=44", "3*44=132", "132-57=75" ]
Current State: 75:[53, 3, 57, 97], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [3, 57, 44] Generated Node #2: [3, 57, 44] from Operation: 97-53=44 Current State: 75:[3, 57, 44], Operations: ['97-53=44'] Exploring Operation: 3*44=132, Resulting Numbers: [57, 132] Generated Node #3: [57, 132] from Operation: 3*44=132 Current State: 75:[57, 132], Operations: ['97-53=44', '3*44=132'] Exploring Operation: 132-57=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 97, 43, 37 ]
55
[ "97-72=25", "43+37=80", "80-25=55" ]
Current State: 55:[72, 97, 43, 37], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [43, 37, 25] Generated Node #2: [43, 37, 25] from Operation: 97-72=25 Current State: 55:[43, 37, 25], Operations: ['97-72=25'] Exploring Operation: 43+37=80, Resulting Numbers: [25, 80] Generated Node #3: [25, 80] from Operation: 43+37=80 Current State: 55:[25, 80], Operations: ['97-72=25', '43+37=80'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 98, 96, 70 ]
65
[ "98-7=91", "96-70=26", "91-26=65" ]
Current State: 65:[7, 98, 96, 70], Operations: [] Exploring Operation: 98-7=91, Resulting Numbers: [96, 70, 91] Generated Node #2: [96, 70, 91] from Operation: 98-7=91 Current State: 65:[96, 70, 91], Operations: ['98-7=91'] Exploring Operation: 96-70=26, Resulting Numbers: [91, 26] Generated Node #3: [91, 26] from Operation: 96-70=26 Current State: 65:[91, 26], Operations: ['98-7=91', '96-70=26'] Exploring Operation: 91-26=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 89, 5, 6, 7 ]
26
[ "89+6=95", "95/5=19", "7+19=26" ]
Current State: 26:[89, 5, 6, 7], Operations: [] Exploring Operation: 89+6=95, Resulting Numbers: [5, 7, 95] Generated Node #2: [5, 7, 95] from Operation: 89+6=95 Current State: 26:[5, 7, 95], Operations: ['89+6=95'] Exploring Operation: 95/5=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 95/5=19 Current State: 26:[7, 19], Operations: ['89+6=95', '95/5=19'] Exploring Operation: 7+19=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 75, 3, 57, 73 ]
27
[ "75-73=2", "57-3=54", "54/2=27" ]
Current State: 27:[75, 3, 57, 73], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [3, 57, 2] Generated Node #2: [3, 57, 2] from Operation: 75-73=2 Current State: 27:[3, 57, 2], Operations: ['75-73=2'] Exploring Operation: 57-3=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 57-3=54 Current State: 27:[2, 54], Operations: ['75-73=2', '57-3=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 68, 71, 20 ]
35
[ "71-68=3", "20*3=60", "60-25=35" ]
Current State: 35:[25, 68, 71, 20], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [25, 20, 3] Generated Node #2: [25, 20, 3] from Operation: 71-68=3 Current State: 35:[25, 20, 3], Operations: ['71-68=3'] Exploring Operation: 20*3=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 20*3=60 Current State: 35:[25, 60], Operations: ['71-68=3', '20*3=60'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 49, 79, 22 ]
38
[ "49+79=128", "128/8=16", "22+16=38" ]
Current State: 38:[8, 49, 79, 22], Operations: [] Exploring Operation: 49+79=128, Resulting Numbers: [8, 22, 128] Generated Node #2: [8, 22, 128] from Operation: 49+79=128 Current State: 38:[8, 22, 128], Operations: ['49+79=128'] Exploring Operation: 128/8=16, Resulting Numbers: [22, 16] Generated Node #3: [22, 16] from Operation: 128/8=16 Current State: 38:[22, 16], Operations: ['49+79=128', '128/8=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 9, 37, 34 ]
39
[ "8+9=17", "34/17=2", "37+2=39" ]
Current State: 39:[8, 9, 37, 34], Operations: [] Exploring Operation: 8+9=17, Resulting Numbers: [37, 34, 17] Generated Node #2: [37, 34, 17] from Operation: 8+9=17 Current State: 39:[37, 34, 17], Operations: ['8+9=17'] Exploring Operation: 34/17=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 34/17=2 Current State: 39:[37, 2], Operations: ['8+9=17', '34/17=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 51, 36, 73 ]
36
[ "22+51=73", "36+73=109", "109-73=36" ]
Current State: 36:[22, 51, 36, 73], Operations: [] Exploring Operation: 22+51=73, Resulting Numbers: [36, 73, 73] Generated Node #2: [36, 73, 73] from Operation: 22+51=73 Current State: 36:[36, 73, 73], Operations: ['22+51=73'] Exploring Operation: 36+73=109, Resulting Numbers: [109] 109,36 equal: Goal Reached Exploring Operation: 109-73=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 38, 63, 11 ]
18
[ "72-38=34", "63-11=52", "52-34=18" ]
Current State: 18:[72, 38, 63, 11], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [63, 11, 34] Generated Node #2: [63, 11, 34] from Operation: 72-38=34 Current State: 18:[63, 11, 34], Operations: ['72-38=34'] Exploring Operation: 63-11=52, Resulting Numbers: [34, 52] Generated Node #3: [34, 52] from Operation: 63-11=52 Current State: 18:[34, 52], Operations: ['72-38=34', '63-11=52'] Exploring Operation: 52-34=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 28, 28, 74, 20 ]
94
[ "28-28=0", "74+20=94", "0+94=94" ]
Current State: 94:[28, 28, 74, 20], Operations: [] Exploring Operation: 28-28=0, Resulting Numbers: [74, 20, 0] Generated Node #2: [74, 20, 0] from Operation: 28-28=0 Current State: 94:[74, 20, 0], Operations: ['28-28=0'] Exploring Operation: 74+20=94, Resulting Numbers: [0, 94] Generated Node #3: [0, 94] from Operation: 74+20=94 Current State: 94:[0, 94], Operations: ['28-28=0', '74+20=94'] Exploring Operation: 0+94=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 86, 81, 2, 44 ]
54
[ "86-81=5", "2*5=10", "44+10=54" ]
Current State: 54:[86, 81, 2, 44], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [2, 44, 5] Generated Node #2: [2, 44, 5] from Operation: 86-81=5 Current State: 54:[2, 44, 5], Operations: ['86-81=5'] Exploring Operation: 2*5=10, Resulting Numbers: [44, 10] Generated Node #3: [44, 10] from Operation: 2*5=10 Current State: 54:[44, 10], Operations: ['86-81=5', '2*5=10'] Exploring Operation: 44+10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 21, 33, 6, 23 ]
78
[ "23-21=2", "33+6=39", "2*39=78" ]
Current State: 78:[21, 33, 6, 23], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [33, 6, 2] Generated Node #2: [33, 6, 2] from Operation: 23-21=2 Current State: 78:[33, 6, 2], Operations: ['23-21=2'] Exploring Operation: 33+6=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 33+6=39 Current State: 78:[2, 39], Operations: ['23-21=2', '33+6=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 7, 7, 3, 77 ]
84
[ "7*7=49", "77-49=28", "3*28=84" ]
Current State: 84:[7, 7, 3, 77], Operations: [] Exploring Operation: 7*7=49, Resulting Numbers: [3, 77, 49] Generated Node #2: [3, 77, 49] from Operation: 7*7=49 Current State: 84:[3, 77, 49], Operations: ['7*7=49'] Exploring Operation: 77-49=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 77-49=28 Current State: 84:[3, 28], Operations: ['7*7=49', '77-49=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 1, 33, 60, 77 ]
15
[ "33-1=32", "77-60=17", "32-17=15" ]
Current State: 15:[1, 33, 60, 77], Operations: [] Exploring Operation: 33-1=32, Resulting Numbers: [60, 77, 32] Generated Node #2: [60, 77, 32] from Operation: 33-1=32 Current State: 15:[60, 77, 32], Operations: ['33-1=32'] Exploring Operation: 77-60=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 77-60=17 Current State: 15:[32, 17], Operations: ['33-1=32', '77-60=17'] Exploring Operation: 32-17=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 73, 27, 83, 73 ]
56
[ "73+27=100", "83+73=156", "156-100=56" ]
Current State: 56:[73, 27, 83, 73], Operations: [] Exploring Operation: 73+27=100, Resulting Numbers: [83, 100] Generated Node #2: [83, 100] from Operation: 73+27=100 Current State: 56:[83, 100], Operations: ['73+27=100'] Exploring Operation: 83+73=156, Resulting Numbers: [100, 156] Generated Node #3: [100, 156] from Operation: 83+73=156 Current State: 56:[100, 156], Operations: ['73+27=100', '83+73=156'] Exploring Operation: 156-100=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 35, 16, 28 ]
83
[ "36+35=71", "28-16=12", "71+12=83" ]
Current State: 83:[36, 35, 16, 28], Operations: [] Exploring Operation: 36+35=71, Resulting Numbers: [16, 28, 71] Generated Node #2: [16, 28, 71] from Operation: 36+35=71 Current State: 83:[16, 28, 71], Operations: ['36+35=71'] Exploring Operation: 28-16=12, Resulting Numbers: [71, 12] Generated Node #3: [71, 12] from Operation: 28-16=12 Current State: 83:[71, 12], Operations: ['36+35=71', '28-16=12'] Exploring Operation: 71+12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 70, 39, 31, 5 ]
28
[ "70+39=109", "31+109=140", "140/5=28" ]
Current State: 28:[70, 39, 31, 5], Operations: [] Exploring Operation: 70+39=109, Resulting Numbers: [31, 5, 109] Generated Node #2: [31, 5, 109] from Operation: 70+39=109 Current State: 28:[31, 5, 109], Operations: ['70+39=109'] Exploring Operation: 31+109=140, Resulting Numbers: [5, 140] Generated Node #3: [5, 140] from Operation: 31+109=140 Current State: 28:[5, 140], Operations: ['70+39=109', '31+109=140'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 97, 28, 37, 7 ]
39
[ "97-28=69", "37-7=30", "69-30=39" ]
Current State: 39:[97, 28, 37, 7], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [37, 7, 69] Generated Node #2: [37, 7, 69] from Operation: 97-28=69 Current State: 39:[37, 7, 69], Operations: ['97-28=69'] Exploring Operation: 37-7=30, Resulting Numbers: [69, 30] Generated Node #3: [69, 30] from Operation: 37-7=30 Current State: 39:[69, 30], Operations: ['97-28=69', '37-7=30'] Exploring Operation: 69-30=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 17, 40, 13 ]
46
[ "24-17=7", "40+13=53", "53-7=46" ]
Current State: 46:[24, 17, 40, 13], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [40, 13, 7] Generated Node #2: [40, 13, 7] from Operation: 24-17=7 Current State: 46:[40, 13, 7], Operations: ['24-17=7'] Exploring Operation: 40+13=53, Resulting Numbers: [7, 53] Generated Node #3: [7, 53] from Operation: 40+13=53 Current State: 46:[7, 53], Operations: ['24-17=7', '40+13=53'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 25, 26, 27 ]
30
[ "4+25=29", "27-26=1", "29+1=30" ]
Current State: 30:[4, 25, 26, 27], Operations: [] Exploring Operation: 4+25=29, Resulting Numbers: [26, 27, 29] Generated Node #2: [26, 27, 29] from Operation: 4+25=29 Current State: 30:[26, 27, 29], Operations: ['4+25=29'] Exploring Operation: 27-26=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 27-26=1 Current State: 30:[29, 1], Operations: ['4+25=29', '27-26=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 52, 75, 70 ]
97
[ "52-4=48", "75+70=145", "145-48=97" ]
Current State: 97:[4, 52, 75, 70], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [75, 70, 48] Generated Node #2: [75, 70, 48] from Operation: 52-4=48 Current State: 97:[75, 70, 48], Operations: ['52-4=48'] Exploring Operation: 75+70=145, Resulting Numbers: [48, 145] Generated Node #3: [48, 145] from Operation: 75+70=145 Current State: 97:[48, 145], Operations: ['52-4=48', '75+70=145'] Exploring Operation: 145-48=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 87, 56, 58, 46 ]
68
[ "56+46=102", "58*102=5916", "5916/87=68" ]
Current State: 68:[87, 56, 58, 46], Operations: [] Exploring Operation: 56+46=102, Resulting Numbers: [87, 58, 102] Generated Node #2: [87, 58, 102] from Operation: 56+46=102 Current State: 68:[87, 58, 102], Operations: ['56+46=102'] Exploring Operation: 58*102=5916, Resulting Numbers: [87, 5916] Generated Node #3: [87, 5916] from Operation: 58*102=5916 Current State: 68:[87, 5916], Operations: ['56+46=102', '58*102=5916'] Exploring Operation: 5916/87=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 46, 12, 90, 59 ]
91
[ "46+12=58", "90+59=149", "149-58=91" ]
Current State: 91:[46, 12, 90, 59], Operations: [] Exploring Operation: 46+12=58, Resulting Numbers: [90, 59, 58] Generated Node #2: [90, 59, 58] from Operation: 46+12=58 Current State: 91:[90, 59, 58], Operations: ['46+12=58'] Exploring Operation: 90+59=149, Resulting Numbers: [58, 149] Generated Node #3: [58, 149] from Operation: 90+59=149 Current State: 91:[58, 149], Operations: ['46+12=58', '90+59=149'] Exploring Operation: 149-58=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 10, 15, 51 ]
79
[ "53-10=43", "51-15=36", "43+36=79" ]
Current State: 79:[53, 10, 15, 51], Operations: [] Exploring Operation: 53-10=43, Resulting Numbers: [15, 51, 43] Generated Node #2: [15, 51, 43] from Operation: 53-10=43 Current State: 79:[15, 51, 43], Operations: ['53-10=43'] Exploring Operation: 51-15=36, Resulting Numbers: [43, 36] Generated Node #3: [43, 36] from Operation: 51-15=36 Current State: 79:[43, 36], Operations: ['53-10=43', '51-15=36'] Exploring Operation: 43+36=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 98, 18, 35 ]
44
[ "35-32=3", "18*3=54", "98-54=44" ]
Current State: 44:[32, 98, 18, 35], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [98, 18, 3] Generated Node #2: [98, 18, 3] from Operation: 35-32=3 Current State: 44:[98, 18, 3], Operations: ['35-32=3'] Exploring Operation: 18*3=54, Resulting Numbers: [98, 54] Generated Node #3: [98, 54] from Operation: 18*3=54 Current State: 44:[98, 54], Operations: ['35-32=3', '18*3=54'] Exploring Operation: 98-54=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 5, 94, 52 ]
66
[ "29-5=24", "94-52=42", "24+42=66" ]
Current State: 66:[29, 5, 94, 52], Operations: [] Exploring Operation: 29-5=24, Resulting Numbers: [94, 52, 24] Generated Node #2: [94, 52, 24] from Operation: 29-5=24 Current State: 66:[94, 52, 24], Operations: ['29-5=24'] Exploring Operation: 94-52=42, Resulting Numbers: [24, 42] Generated Node #3: [24, 42] from Operation: 94-52=42 Current State: 66:[24, 42], Operations: ['29-5=24', '94-52=42'] Exploring Operation: 24+42=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 23, 55, 91, 46 ]
72
[ "46/23=2", "91-55=36", "2*36=72" ]
Current State: 72:[23, 55, 91, 46], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [55, 91, 2] Generated Node #2: [55, 91, 2] from Operation: 46/23=2 Current State: 72:[55, 91, 2], Operations: ['46/23=2'] Exploring Operation: 91-55=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 91-55=36 Current State: 72:[2, 36], Operations: ['46/23=2', '91-55=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 33, 61, 65 ]
15
[ "52-33=19", "65-61=4", "19-4=15" ]
Current State: 15:[52, 33, 61, 65], Operations: [] Exploring Operation: 52-33=19, Resulting Numbers: [61, 65, 19] Generated Node #2: [61, 65, 19] from Operation: 52-33=19 Current State: 15:[61, 65, 19], Operations: ['52-33=19'] Exploring Operation: 65-61=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 65-61=4 Current State: 15:[19, 4], Operations: ['52-33=19', '65-61=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 87, 68, 35, 59 ]
61
[ "87+68=155", "35+59=94", "155-94=61" ]
Current State: 61:[87, 68, 35, 59], Operations: [] Exploring Operation: 87+68=155, Resulting Numbers: [35, 59, 155] Generated Node #2: [35, 59, 155] from Operation: 87+68=155 Current State: 61:[35, 59, 155], Operations: ['87+68=155'] Exploring Operation: 35+59=94, Resulting Numbers: [155, 94] Generated Node #3: [155, 94] from Operation: 35+59=94 Current State: 61:[155, 94], Operations: ['87+68=155', '35+59=94'] Exploring Operation: 155-94=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4