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
[ 76, 73, 12, 20 ]
35
[ "76-73=3", "12+20=32", "3+32=35" ]
Current State: 35:[76, 73, 12, 20], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [12, 20, 3] Generated Node #2: [12, 20, 3] from Operation: 76-73=3 Current State: 35:[12, 20, 3], Operations: ['76-73=3'] Exploring Operation: 12+20=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 12+20=32 Current State: 35:[3, 32], Operations: ['76-73=3', '12+20=32'] Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 72, 3, 17, 51 ]
71
[ "3*17=51", "51/51=1", "72-1=71" ]
Current State: 71:[72, 3, 17, 51], Operations: [] Exploring Operation: 3*17=51, Resulting Numbers: [72, 51, 51] Generated Node #2: [72, 51, 51] from Operation: 3*17=51 Current State: 71:[72, 51, 51], Operations: ['3*17=51'] Exploring Operation: 51/51=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 51/51=1 Current State: 71:[72, 1], Operations: ['3*17=51', '51/51=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 69, 10, 27, 1 ]
20
[ "69+1=70", "70/10=7", "27-7=20" ]
Current State: 20:[69, 10, 27, 1], Operations: [] Exploring Operation: 69+1=70, Resulting Numbers: [10, 27, 70] Generated Node #2: [10, 27, 70] from Operation: 69+1=70 Current State: 20:[10, 27, 70], Operations: ['69+1=70'] Exploring Operation: 70/10=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 70/10=7 Current State: 20:[27, 7], Operations: ['69+1=70', '70/10=7'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 38, 7, 34, 12 ]
23
[ "38+7=45", "34-12=22", "45-22=23" ]
Current State: 23:[38, 7, 34, 12], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [34, 12, 45] Generated Node #2: [34, 12, 45] from Operation: 38+7=45 Current State: 23:[34, 12, 45], Operations: ['38+7=45'] Exploring Operation: 34-12=22, Resulting Numbers: [45, 22] Generated Node #3: [45, 22] from Operation: 34-12=22 Current State: 23:[45, 22], Operations: ['38+7=45', '34-12=22'] Exploring Operation: 45-22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 97, 65, 43, 18 ]
91
[ "65+43=108", "108/18=6", "97-6=91" ]
Current State: 91:[97, 65, 43, 18], Operations: [] Exploring Operation: 65+43=108, Resulting Numbers: [97, 18, 108] Generated Node #2: [97, 18, 108] from Operation: 65+43=108 Current State: 91:[97, 18, 108], Operations: ['65+43=108'] Exploring Operation: 108/18=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 108/18=6 Current State: 91:[97, 6], Operations: ['65+43=108', '108/18=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 61, 55, 22 ]
16
[ "32+61=93", "55+22=77", "93-77=16" ]
Current State: 16:[32, 61, 55, 22], Operations: [] Exploring Operation: 32+61=93, Resulting Numbers: [55, 22, 93] Generated Node #2: [55, 22, 93] from Operation: 32+61=93 Current State: 16:[55, 22, 93], Operations: ['32+61=93'] Exploring Operation: 55+22=77, Resulting Numbers: [93, 77] Generated Node #3: [93, 77] from Operation: 55+22=77 Current State: 16:[93, 77], Operations: ['32+61=93', '55+22=77'] Exploring Operation: 93-77=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 99, 40, 33, 51 ]
41
[ "99-40=59", "51-33=18", "59-18=41" ]
Current State: 41:[99, 40, 33, 51], Operations: [] Exploring Operation: 99-40=59, Resulting Numbers: [33, 51, 59] Generated Node #2: [33, 51, 59] from Operation: 99-40=59 Current State: 41:[33, 51, 59], Operations: ['99-40=59'] Exploring Operation: 51-33=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 51-33=18 Current State: 41:[59, 18], Operations: ['99-40=59', '51-33=18'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 96, 81, 19 ]
45
[ "54*96=5184", "5184/81=64", "64-19=45" ]
Current State: 45:[54, 96, 81, 19], Operations: [] Exploring Operation: 54*96=5184, Resulting Numbers: [81, 19, 5184] Generated Node #2: [81, 19, 5184] from Operation: 54*96=5184 Current State: 45:[81, 19, 5184], Operations: ['54*96=5184'] Exploring Operation: 5184/81=64, Resulting Numbers: [19, 64] Generated Node #3: [19, 64] from Operation: 5184/81=64 Current State: 45:[19, 64], Operations: ['54*96=5184', '5184/81=64'] Exploring Operation: 64-19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 29, 63, 74 ]
34
[ "74+29=103", "63+74=137", "137-103=34" ]
Current State: 34:[74, 29, 63, 74], Operations: [] Exploring Operation: 74+29=103, Resulting Numbers: [63, 103] Generated Node #2: [63, 103] from Operation: 74+29=103 Current State: 34:[63, 103], Operations: ['74+29=103'] Exploring Operation: 63+74=137, Resulting Numbers: [103, 137] Generated Node #3: [103, 137] from Operation: 63+74=137 Current State: 34:[103, 137], Operations: ['74+29=103', '63+74=137'] Exploring Operation: 137-103=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 28, 94, 96, 62 ]
32
[ "94-28=66", "96-62=34", "66-34=32" ]
Current State: 32:[28, 94, 96, 62], Operations: [] Exploring Operation: 94-28=66, Resulting Numbers: [96, 62, 66] Generated Node #2: [96, 62, 66] from Operation: 94-28=66 Current State: 32:[96, 62, 66], Operations: ['94-28=66'] Exploring Operation: 96-62=34, Resulting Numbers: [66, 34] Generated Node #3: [66, 34] from Operation: 96-62=34 Current State: 32:[66, 34], Operations: ['94-28=66', '96-62=34'] Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 94, 19, 58, 87 ]
70
[ "94-19=75", "58+87=145", "145-75=70" ]
Current State: 70:[94, 19, 58, 87], Operations: [] Exploring Operation: 94-19=75, Resulting Numbers: [58, 87, 75] Generated Node #2: [58, 87, 75] from Operation: 94-19=75 Current State: 70:[58, 87, 75], Operations: ['94-19=75'] Exploring Operation: 58+87=145, Resulting Numbers: [75, 145] Generated Node #3: [75, 145] from Operation: 58+87=145 Current State: 70:[75, 145], Operations: ['94-19=75', '58+87=145'] Exploring Operation: 145-75=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 41, 44, 57, 26 ]
80
[ "44-41=3", "57+26=83", "83-3=80" ]
Current State: 80:[41, 44, 57, 26], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [57, 26, 3] Generated Node #2: [57, 26, 3] from Operation: 44-41=3 Current State: 80:[57, 26, 3], Operations: ['44-41=3'] Exploring Operation: 57+26=83, Resulting Numbers: [3, 83] Generated Node #3: [3, 83] from Operation: 57+26=83 Current State: 80:[3, 83], Operations: ['44-41=3', '57+26=83'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 41, 49, 42 ]
57
[ "44-42=2", "49*2=98", "98-41=57" ]
Current State: 57:[44, 41, 49, 42], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [41, 49, 2] Generated Node #2: [41, 49, 2] from Operation: 44-42=2 Current State: 57:[41, 49, 2], Operations: ['44-42=2'] Exploring Operation: 49*2=98, Resulting Numbers: [41, 98] Generated Node #3: [41, 98] from Operation: 49*2=98 Current State: 57:[41, 98], Operations: ['44-42=2', '49*2=98'] Exploring Operation: 98-41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 80, 91, 23 ]
39
[ "96-91=5", "80/5=16", "23+16=39" ]
Current State: 39:[96, 80, 91, 23], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [80, 23, 5] Generated Node #2: [80, 23, 5] from Operation: 96-91=5 Current State: 39:[80, 23, 5], Operations: ['96-91=5'] Exploring Operation: 80/5=16, Resulting Numbers: [23, 16] Generated Node #3: [23, 16] from Operation: 80/5=16 Current State: 39:[23, 16], Operations: ['96-91=5', '80/5=16'] Exploring Operation: 23+16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 7, 61, 18 ]
45
[ "61-52=9", "7*9=63", "63-18=45" ]
Current State: 45:[52, 7, 61, 18], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [7, 18, 9] Generated Node #2: [7, 18, 9] from Operation: 61-52=9 Current State: 45:[7, 18, 9], Operations: ['61-52=9'] Exploring Operation: 7*9=63, Resulting Numbers: [18, 63] Generated Node #3: [18, 63] from Operation: 7*9=63 Current State: 45:[18, 63], Operations: ['61-52=9', '7*9=63'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 32, 97, 2, 58 ]
45
[ "58-32=26", "2*26=52", "97-52=45" ]
Current State: 45:[32, 97, 2, 58], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [97, 2, 26] Generated Node #2: [97, 2, 26] from Operation: 58-32=26 Current State: 45:[97, 2, 26], Operations: ['58-32=26'] Exploring Operation: 2*26=52, Resulting Numbers: [97, 52] Generated Node #3: [97, 52] from Operation: 2*26=52 Current State: 45:[97, 52], Operations: ['58-32=26', '2*26=52'] Exploring Operation: 97-52=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 45, 95, 19 ]
45
[ "95-75=20", "20-19=1", "45*1=45" ]
Current State: 45:[75, 45, 95, 19], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [45, 19, 20] Generated Node #2: [45, 19, 20] from Operation: 95-75=20 Current State: 45:[45, 19, 20], Operations: ['95-75=20'] Exploring Operation: 20-19=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 20-19=1 Current State: 45:[45, 1], Operations: ['95-75=20', '20-19=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 32, 21, 37, 95 ]
12
[ "32-21=11", "37+95=132", "132/11=12" ]
Current State: 12:[32, 21, 37, 95], Operations: [] Exploring Operation: 32-21=11, Resulting Numbers: [37, 95, 11] Generated Node #2: [37, 95, 11] from Operation: 32-21=11 Current State: 12:[37, 95, 11], Operations: ['32-21=11'] Exploring Operation: 37+95=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 37+95=132 Current State: 12:[11, 132], Operations: ['32-21=11', '37+95=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 85, 7, 51, 3 ]
30
[ "85-7=78", "51-3=48", "78-48=30" ]
Current State: 30:[85, 7, 51, 3], Operations: [] Exploring Operation: 85-7=78, Resulting Numbers: [51, 3, 78] Generated Node #2: [51, 3, 78] from Operation: 85-7=78 Current State: 30:[51, 3, 78], Operations: ['85-7=78'] Exploring Operation: 51-3=48, Resulting Numbers: [78, 48] Generated Node #3: [78, 48] from Operation: 51-3=48 Current State: 30:[78, 48], Operations: ['85-7=78', '51-3=48'] Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 14, 8, 99 ]
90
[ "14-8=6", "54/6=9", "99-9=90" ]
Current State: 90:[54, 14, 8, 99], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [54, 99, 6] Generated Node #2: [54, 99, 6] from Operation: 14-8=6 Current State: 90:[54, 99, 6], Operations: ['14-8=6'] Exploring Operation: 54/6=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 54/6=9 Current State: 90:[99, 9], Operations: ['14-8=6', '54/6=9'] Exploring Operation: 99-9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 84, 39, 3 ]
23
[ "84-19=65", "39+3=42", "65-42=23" ]
Current State: 23:[19, 84, 39, 3], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [39, 3, 65] Generated Node #2: [39, 3, 65] from Operation: 84-19=65 Current State: 23:[39, 3, 65], Operations: ['84-19=65'] Exploring Operation: 39+3=42, Resulting Numbers: [65, 42] Generated Node #3: [65, 42] from Operation: 39+3=42 Current State: 23:[65, 42], Operations: ['84-19=65', '39+3=42'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 42, 90, 14, 60 ]
19
[ "60-42=18", "90/18=5", "14+5=19" ]
Current State: 19:[42, 90, 14, 60], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [90, 14, 18] Generated Node #2: [90, 14, 18] from Operation: 60-42=18 Current State: 19:[90, 14, 18], Operations: ['60-42=18'] Exploring Operation: 90/18=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 90/18=5 Current State: 19:[14, 5], Operations: ['60-42=18', '90/18=5'] Exploring Operation: 14+5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 62, 92, 94, 18 ]
78
[ "62+92=154", "94-18=76", "154-76=78" ]
Current State: 78:[62, 92, 94, 18], Operations: [] Exploring Operation: 62+92=154, Resulting Numbers: [94, 18, 154] Generated Node #2: [94, 18, 154] from Operation: 62+92=154 Current State: 78:[94, 18, 154], Operations: ['62+92=154'] Exploring Operation: 94-18=76, Resulting Numbers: [154, 76] Generated Node #3: [154, 76] from Operation: 94-18=76 Current State: 78:[154, 76], Operations: ['62+92=154', '94-18=76'] Exploring Operation: 154-76=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 33, 70, 29, 4 ]
54
[ "33-29=4", "4*4=16", "70-16=54" ]
Current State: 54:[33, 70, 29, 4], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [70, 4, 4] Generated Node #2: [70, 4, 4] from Operation: 33-29=4 Current State: 54:[70, 4, 4], Operations: ['33-29=4'] Exploring Operation: 4*4=16, Resulting Numbers: [70, 16] Generated Node #3: [70, 16] from Operation: 4*4=16 Current State: 54:[70, 16], Operations: ['33-29=4', '4*4=16'] Exploring Operation: 70-16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 51, 12, 9 ]
45
[ "72*12=864", "864/9=96", "96-51=45" ]
Current State: 45:[72, 51, 12, 9], Operations: [] Exploring Operation: 72*12=864, Resulting Numbers: [51, 9, 864] Generated Node #2: [51, 9, 864] from Operation: 72*12=864 Current State: 45:[51, 9, 864], Operations: ['72*12=864'] Exploring Operation: 864/9=96, Resulting Numbers: [51, 96] Generated Node #3: [51, 96] from Operation: 864/9=96 Current State: 45:[51, 96], Operations: ['72*12=864', '864/9=96'] Exploring Operation: 96-51=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 41, 43, 67, 13 ]
82
[ "43-41=2", "67+13=80", "2+80=82" ]
Current State: 82:[41, 43, 67, 13], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [67, 13, 2] Generated Node #2: [67, 13, 2] from Operation: 43-41=2 Current State: 82:[67, 13, 2], Operations: ['43-41=2'] Exploring Operation: 67+13=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 67+13=80 Current State: 82:[2, 80], Operations: ['43-41=2', '67+13=80'] Exploring Operation: 2+80=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 87, 24, 73, 35 ]
25
[ "87-24=63", "73-35=38", "63-38=25" ]
Current State: 25:[87, 24, 73, 35], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [73, 35, 63] Generated Node #2: [73, 35, 63] from Operation: 87-24=63 Current State: 25:[73, 35, 63], Operations: ['87-24=63'] Exploring Operation: 73-35=38, Resulting Numbers: [63, 38] Generated Node #3: [63, 38] from Operation: 73-35=38 Current State: 25:[63, 38], Operations: ['87-24=63', '73-35=38'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 50, 46, 95 ]
18
[ "50+46=96", "96-95=1", "18*1=18" ]
Current State: 18:[18, 50, 46, 95], Operations: [] Exploring Operation: 50+46=96, Resulting Numbers: [18, 95, 96] Generated Node #2: [18, 95, 96] from Operation: 50+46=96 Current State: 18:[18, 95, 96], Operations: ['50+46=96'] Exploring Operation: 96-95=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 96-95=1 Current State: 18:[18, 1], Operations: ['50+46=96', '96-95=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 45, 78, 17 ]
34
[ "50+45=95", "78-17=61", "95-61=34" ]
Current State: 34:[50, 45, 78, 17], Operations: [] Exploring Operation: 50+45=95, Resulting Numbers: [78, 17, 95] Generated Node #2: [78, 17, 95] from Operation: 50+45=95 Current State: 34:[78, 17, 95], Operations: ['50+45=95'] Exploring Operation: 78-17=61, Resulting Numbers: [95, 61] Generated Node #3: [95, 61] from Operation: 78-17=61 Current State: 34:[95, 61], Operations: ['50+45=95', '78-17=61'] Exploring Operation: 95-61=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 3, 36, 33 ]
11
[ "4*3=12", "36/12=3", "33/3=11" ]
Current State: 11:[4, 3, 36, 33], Operations: [] Exploring Operation: 4*3=12, Resulting Numbers: [36, 33, 12] Generated Node #2: [36, 33, 12] from Operation: 4*3=12 Current State: 11:[36, 33, 12], Operations: ['4*3=12'] Exploring Operation: 36/12=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 36/12=3 Current State: 11:[33, 3], Operations: ['4*3=12', '36/12=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 14, 55, 11 ]
55
[ "14-14=0", "11*0=0", "55+0=55" ]
Current State: 55:[14, 14, 55, 11], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [55, 11, 0] Generated Node #2: [55, 11, 0] from Operation: 14-14=0 Current State: 55:[55, 11, 0], Operations: ['14-14=0'] Exploring Operation: 11*0=0, Resulting Numbers: [55, 0] Generated Node #3: [55, 0] from Operation: 11*0=0 Current State: 55:[55, 0], Operations: ['14-14=0', '11*0=0'] Exploring Operation: 55+0=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 13, 19, 35, 7 ]
60
[ "13+19=32", "35-7=28", "32+28=60" ]
Current State: 60:[13, 19, 35, 7], Operations: [] Exploring Operation: 13+19=32, Resulting Numbers: [35, 7, 32] Generated Node #2: [35, 7, 32] from Operation: 13+19=32 Current State: 60:[35, 7, 32], Operations: ['13+19=32'] Exploring Operation: 35-7=28, Resulting Numbers: [32, 28] Generated Node #3: [32, 28] from Operation: 35-7=28 Current State: 60:[32, 28], Operations: ['13+19=32', '35-7=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 28, 14, 33, 35 ]
31
[ "28/14=2", "33*2=66", "66-35=31" ]
Current State: 31:[28, 14, 33, 35], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [33, 35, 2] Generated Node #2: [33, 35, 2] from Operation: 28/14=2 Current State: 31:[33, 35, 2], Operations: ['28/14=2'] Exploring Operation: 33*2=66, Resulting Numbers: [35, 66] Generated Node #3: [35, 66] from Operation: 33*2=66 Current State: 31:[35, 66], Operations: ['28/14=2', '33*2=66'] Exploring Operation: 66-35=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 73, 41, 92, 71 ]
53
[ "73-41=32", "92-71=21", "32+21=53" ]
Current State: 53:[73, 41, 92, 71], Operations: [] Exploring Operation: 73-41=32, Resulting Numbers: [92, 71, 32] Generated Node #2: [92, 71, 32] from Operation: 73-41=32 Current State: 53:[92, 71, 32], Operations: ['73-41=32'] Exploring Operation: 92-71=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 92-71=21 Current State: 53:[32, 21], Operations: ['73-41=32', '92-71=21'] Exploring Operation: 32+21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 59, 95, 8, 49 ]
41
[ "95+49=144", "144/8=18", "59-18=41" ]
Current State: 41:[59, 95, 8, 49], Operations: [] Exploring Operation: 95+49=144, Resulting Numbers: [59, 8, 144] Generated Node #2: [59, 8, 144] from Operation: 95+49=144 Current State: 41:[59, 8, 144], Operations: ['95+49=144'] Exploring Operation: 144/8=18, Resulting Numbers: [59, 18] Generated Node #3: [59, 18] from Operation: 144/8=18 Current State: 41:[59, 18], Operations: ['95+49=144', '144/8=18'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 28, 22, 23, 4 ]
42
[ "28+22=50", "23*4=92", "92-50=42" ]
Current State: 42:[28, 22, 23, 4], Operations: [] Exploring Operation: 28+22=50, Resulting Numbers: [23, 4, 50] Generated Node #2: [23, 4, 50] from Operation: 28+22=50 Current State: 42:[23, 4, 50], Operations: ['28+22=50'] Exploring Operation: 23*4=92, Resulting Numbers: [50, 92] Generated Node #3: [50, 92] from Operation: 23*4=92 Current State: 42:[50, 92], Operations: ['28+22=50', '23*4=92'] Exploring Operation: 92-50=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 72, 24, 22, 96 ]
44
[ "72-24=48", "22*96=2112", "2112/48=44" ]
Current State: 44:[72, 24, 22, 96], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [22, 96, 48] Generated Node #2: [22, 96, 48] from Operation: 72-24=48 Current State: 44:[22, 96, 48], Operations: ['72-24=48'] Exploring Operation: 22*96=2112, Resulting Numbers: [48, 2112] Generated Node #3: [48, 2112] from Operation: 22*96=2112 Current State: 44:[48, 2112], Operations: ['72-24=48', '22*96=2112'] Exploring Operation: 2112/48=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 85, 62, 1, 3 ]
26
[ "85-62=23", "1*3=3", "23+3=26" ]
Current State: 26:[85, 62, 1, 3], Operations: [] Exploring Operation: 85-62=23, Resulting Numbers: [1, 3, 23] Generated Node #2: [1, 3, 23] from Operation: 85-62=23 Current State: 26:[1, 3, 23], Operations: ['85-62=23'] Exploring Operation: 1*3=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 1*3=3 Current State: 26:[23, 3], Operations: ['85-62=23', '1*3=3'] Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 15, 62, 91 ]
74
[ "30+15=45", "91-62=29", "45+29=74" ]
Current State: 74:[30, 15, 62, 91], Operations: [] Exploring Operation: 30+15=45, Resulting Numbers: [62, 91, 45] Generated Node #2: [62, 91, 45] from Operation: 30+15=45 Current State: 74:[62, 91, 45], Operations: ['30+15=45'] Exploring Operation: 91-62=29, Resulting Numbers: [45, 29] Generated Node #3: [45, 29] from Operation: 91-62=29 Current State: 74:[45, 29], Operations: ['30+15=45', '91-62=29'] Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 46, 95, 82 ]
96
[ "36+46=82", "82/82=1", "95+1=96" ]
Current State: 96:[36, 46, 95, 82], Operations: [] Exploring Operation: 36+46=82, Resulting Numbers: [95, 82, 82] Generated Node #2: [95, 82, 82] from Operation: 36+46=82 Current State: 96:[95, 82, 82], Operations: ['36+46=82'] Exploring Operation: 82/82=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 82/82=1 Current State: 96:[95, 1], Operations: ['36+46=82', '82/82=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 78, 75, 40 ]
57
[ "75*40=3000", "78+3000=3078", "3078/54=57" ]
Current State: 57:[54, 78, 75, 40], Operations: [] Exploring Operation: 75*40=3000, Resulting Numbers: [54, 78, 3000] Generated Node #2: [54, 78, 3000] from Operation: 75*40=3000 Current State: 57:[54, 78, 3000], Operations: ['75*40=3000'] Exploring Operation: 78+3000=3078, Resulting Numbers: [54, 3078] Generated Node #3: [54, 3078] from Operation: 78+3000=3078 Current State: 57:[54, 3078], Operations: ['75*40=3000', '78+3000=3078'] Exploring Operation: 3078/54=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 4, 28, 1, 84 ]
12
[ "28/4=7", "1*84=84", "84/7=12" ]
Current State: 12:[4, 28, 1, 84], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [1, 84, 7] Generated Node #2: [1, 84, 7] from Operation: 28/4=7 Current State: 12:[1, 84, 7], Operations: ['28/4=7'] Exploring Operation: 1*84=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 1*84=84 Current State: 12:[7, 84], Operations: ['28/4=7', '1*84=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 64, 3, 13 ]
93
[ "74+13=87", "87/3=29", "64+29=93" ]
Current State: 93:[74, 64, 3, 13], Operations: [] Exploring Operation: 74+13=87, Resulting Numbers: [64, 3, 87] Generated Node #2: [64, 3, 87] from Operation: 74+13=87 Current State: 93:[64, 3, 87], Operations: ['74+13=87'] Exploring Operation: 87/3=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 87/3=29 Current State: 93:[64, 29], Operations: ['74+13=87', '87/3=29'] Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 1, 40, 11 ]
29
[ "2-1=1", "40-11=29", "1*29=29" ]
Current State: 29:[2, 1, 40, 11], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [40, 11, 1] Generated Node #2: [40, 11, 1] from Operation: 2-1=1 Current State: 29:[40, 11, 1], Operations: ['2-1=1'] Exploring Operation: 40-11=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 40-11=29 Current State: 29:[1, 29], Operations: ['2-1=1', '40-11=29'] Exploring Operation: 1*29=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 4, 39, 61, 9 ]
15
[ "4+61=65", "9*65=585", "585/39=15" ]
Current State: 15:[4, 39, 61, 9], Operations: [] Exploring Operation: 4+61=65, Resulting Numbers: [39, 9, 65] Generated Node #2: [39, 9, 65] from Operation: 4+61=65 Current State: 15:[39, 9, 65], Operations: ['4+61=65'] Exploring Operation: 9*65=585, Resulting Numbers: [39, 585] Generated Node #3: [39, 585] from Operation: 9*65=585 Current State: 15:[39, 585], Operations: ['4+61=65', '9*65=585'] Exploring Operation: 585/39=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 6, 60, 74 ]
18
[ "94-60=34", "74+34=108", "108/6=18" ]
Current State: 18:[94, 6, 60, 74], Operations: [] Exploring Operation: 94-60=34, Resulting Numbers: [6, 74, 34] Generated Node #2: [6, 74, 34] from Operation: 94-60=34 Current State: 18:[6, 74, 34], Operations: ['94-60=34'] Exploring Operation: 74+34=108, Resulting Numbers: [6, 108] Generated Node #3: [6, 108] from Operation: 74+34=108 Current State: 18:[6, 108], Operations: ['94-60=34', '74+34=108'] Exploring Operation: 108/6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 91, 47, 94, 30 ]
20
[ "91-47=44", "94-30=64", "64-44=20" ]
Current State: 20:[91, 47, 94, 30], Operations: [] Exploring Operation: 91-47=44, Resulting Numbers: [94, 30, 44] Generated Node #2: [94, 30, 44] from Operation: 91-47=44 Current State: 20:[94, 30, 44], Operations: ['91-47=44'] Exploring Operation: 94-30=64, Resulting Numbers: [44, 64] Generated Node #3: [44, 64] from Operation: 94-30=64 Current State: 20:[44, 64], Operations: ['91-47=44', '94-30=64'] Exploring Operation: 64-44=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 76, 64, 98, 27 ]
59
[ "76-64=12", "98-27=71", "71-12=59" ]
Current State: 59:[76, 64, 98, 27], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [98, 27, 12] Generated Node #2: [98, 27, 12] from Operation: 76-64=12 Current State: 59:[98, 27, 12], Operations: ['76-64=12'] Exploring Operation: 98-27=71, Resulting Numbers: [12, 71] Generated Node #3: [12, 71] from Operation: 98-27=71 Current State: 59:[12, 71], Operations: ['76-64=12', '98-27=71'] Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 2, 90, 7 ]
81
[ "43-7=36", "90/2=45", "36+45=81" ]
Current State: 81:[43, 2, 90, 7], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [2, 90, 36] Generated Node #2: [2, 90, 36] from Operation: 43-7=36 Current State: 81:[2, 90, 36], Operations: ['43-7=36'] Exploring Operation: 90/2=45, Resulting Numbers: [36, 45] Generated Node #3: [36, 45] from Operation: 90/2=45 Current State: 81:[36, 45], Operations: ['43-7=36', '90/2=45'] Exploring Operation: 36+45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 48, 24, 75 ]
93
[ "48-41=7", "24*7=168", "168-75=93" ]
Current State: 93:[41, 48, 24, 75], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [24, 75, 7] Generated Node #2: [24, 75, 7] from Operation: 48-41=7 Current State: 93:[24, 75, 7], Operations: ['48-41=7'] Exploring Operation: 24*7=168, Resulting Numbers: [75, 168] Generated Node #3: [75, 168] from Operation: 24*7=168 Current State: 93:[75, 168], Operations: ['48-41=7', '24*7=168'] Exploring Operation: 168-75=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 53, 96, 97 ]
13
[ "65-53=12", "97-96=1", "12+1=13" ]
Current State: 13:[65, 53, 96, 97], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [96, 97, 12] Generated Node #2: [96, 97, 12] from Operation: 65-53=12 Current State: 13:[96, 97, 12], Operations: ['65-53=12'] Exploring Operation: 97-96=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 97-96=1 Current State: 13:[12, 1], Operations: ['65-53=12', '97-96=1'] Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 26, 24, 66, 79 ]
92
[ "26-24=2", "79*2=158", "158-66=92" ]
Current State: 92:[26, 24, 66, 79], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [66, 79, 2] Generated Node #2: [66, 79, 2] from Operation: 26-24=2 Current State: 92:[66, 79, 2], Operations: ['26-24=2'] Exploring Operation: 79*2=158, Resulting Numbers: [66, 158] Generated Node #3: [66, 158] from Operation: 79*2=158 Current State: 92:[66, 158], Operations: ['26-24=2', '79*2=158'] Exploring Operation: 158-66=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 66, 2, 56, 7 ]
19
[ "66+2=68", "56-7=49", "68-49=19" ]
Current State: 19:[66, 2, 56, 7], Operations: [] Exploring Operation: 66+2=68, Resulting Numbers: [56, 7, 68] Generated Node #2: [56, 7, 68] from Operation: 66+2=68 Current State: 19:[56, 7, 68], Operations: ['66+2=68'] Exploring Operation: 56-7=49, Resulting Numbers: [68, 49] Generated Node #3: [68, 49] from Operation: 56-7=49 Current State: 19:[68, 49], Operations: ['66+2=68', '56-7=49'] Exploring Operation: 68-49=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 54, 50, 23 ]
84
[ "23-2=21", "54-50=4", "21*4=84" ]
Current State: 84:[2, 54, 50, 23], Operations: [] Exploring Operation: 23-2=21, Resulting Numbers: [54, 50, 21] Generated Node #2: [54, 50, 21] from Operation: 23-2=21 Current State: 84:[54, 50, 21], Operations: ['23-2=21'] Exploring Operation: 54-50=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 54-50=4 Current State: 84:[21, 4], Operations: ['23-2=21', '54-50=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 65, 66, 76, 95 ]
14
[ "65*76=4940", "4940/95=52", "66-52=14" ]
Current State: 14:[65, 66, 76, 95], Operations: [] Exploring Operation: 65*76=4940, Resulting Numbers: [66, 95, 4940] Generated Node #2: [66, 95, 4940] from Operation: 65*76=4940 Current State: 14:[66, 95, 4940], Operations: ['65*76=4940'] Exploring Operation: 4940/95=52, Resulting Numbers: [66, 52] Generated Node #3: [66, 52] from Operation: 4940/95=52 Current State: 14:[66, 52], Operations: ['65*76=4940', '4940/95=52'] Exploring Operation: 66-52=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 12, 36, 73 ]
92
[ "22+73=95", "36/12=3", "95-3=92" ]
Current State: 92:[22, 12, 36, 73], Operations: [] Exploring Operation: 22+73=95, Resulting Numbers: [12, 36, 95] Generated Node #2: [12, 36, 95] from Operation: 22+73=95 Current State: 92:[12, 36, 95], Operations: ['22+73=95'] Exploring Operation: 36/12=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 36/12=3 Current State: 92:[95, 3], Operations: ['22+73=95', '36/12=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 69, 35, 22, 25 ]
80
[ "69*25=1725", "35+1725=1760", "1760/22=80" ]
Current State: 80:[69, 35, 22, 25], Operations: [] Exploring Operation: 69*25=1725, Resulting Numbers: [35, 22, 1725] Generated Node #2: [35, 22, 1725] from Operation: 69*25=1725 Current State: 80:[35, 22, 1725], Operations: ['69*25=1725'] Exploring Operation: 35+1725=1760, Resulting Numbers: [22, 1760] Generated Node #3: [22, 1760] from Operation: 35+1725=1760 Current State: 80:[22, 1760], Operations: ['69*25=1725', '35+1725=1760'] Exploring Operation: 1760/22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 99, 21, 30, 5 ]
72
[ "99-21=78", "30*5=150", "150-78=72" ]
Current State: 72:[99, 21, 30, 5], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [30, 5, 78] Generated Node #2: [30, 5, 78] from Operation: 99-21=78 Current State: 72:[30, 5, 78], Operations: ['99-21=78'] Exploring Operation: 30*5=150, Resulting Numbers: [78, 150] Generated Node #3: [78, 150] from Operation: 30*5=150 Current State: 72:[78, 150], Operations: ['99-21=78', '30*5=150'] Exploring Operation: 150-78=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 51, 30, 73 ]
67
[ "51-15=36", "30+73=103", "103-36=67" ]
Current State: 67:[15, 51, 30, 73], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [30, 73, 36] Generated Node #2: [30, 73, 36] from Operation: 51-15=36 Current State: 67:[30, 73, 36], Operations: ['51-15=36'] Exploring Operation: 30+73=103, Resulting Numbers: [36, 103] Generated Node #3: [36, 103] from Operation: 30+73=103 Current State: 67:[36, 103], Operations: ['51-15=36', '30+73=103'] Exploring Operation: 103-36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 81, 67, 41 ]
93
[ "81-14=67", "67-41=26", "67+26=93" ]
Current State: 93:[14, 81, 67, 41], Operations: [] Exploring Operation: 81-14=67, Resulting Numbers: [67, 41, 67] Generated Node #2: [67, 41, 67] from Operation: 81-14=67 Current State: 93:[67, 41, 67], Operations: ['81-14=67'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,93 equal: Goal Reached Exploring Operation: 67+26=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 26, 54, 44 ]
29
[ "65-26=39", "54-44=10", "39-10=29" ]
Current State: 29:[65, 26, 54, 44], Operations: [] Exploring Operation: 65-26=39, Resulting Numbers: [54, 44, 39] Generated Node #2: [54, 44, 39] from Operation: 65-26=39 Current State: 29:[54, 44, 39], Operations: ['65-26=39'] Exploring Operation: 54-44=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 54-44=10 Current State: 29:[39, 10], Operations: ['65-26=39', '54-44=10'] Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 27, 23, 29, 61 ]
40
[ "27+23=50", "29+61=90", "90-50=40" ]
Current State: 40:[27, 23, 29, 61], Operations: [] Exploring Operation: 27+23=50, Resulting Numbers: [29, 61, 50] Generated Node #2: [29, 61, 50] from Operation: 27+23=50 Current State: 40:[29, 61, 50], Operations: ['27+23=50'] Exploring Operation: 29+61=90, Resulting Numbers: [50, 90] Generated Node #3: [50, 90] from Operation: 29+61=90 Current State: 40:[50, 90], Operations: ['27+23=50', '29+61=90'] Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 25, 21, 43, 51 ]
32
[ "25-21=4", "51-43=8", "4*8=32" ]
Current State: 32:[25, 21, 43, 51], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [43, 51, 4] Generated Node #2: [43, 51, 4] from Operation: 25-21=4 Current State: 32:[43, 51, 4], Operations: ['25-21=4'] Exploring Operation: 51-43=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 51-43=8 Current State: 32:[4, 8], Operations: ['25-21=4', '51-43=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 46, 49, 41, 9 ]
53
[ "49-46=3", "41+9=50", "3+50=53" ]
Current State: 53:[46, 49, 41, 9], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [41, 9, 3] Generated Node #2: [41, 9, 3] from Operation: 49-46=3 Current State: 53:[41, 9, 3], Operations: ['49-46=3'] Exploring Operation: 41+9=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 41+9=50 Current State: 53:[3, 50], Operations: ['49-46=3', '41+9=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 24, 82, 16 ]
64
[ "82-80=2", "24*2=48", "16+48=64" ]
Current State: 64:[80, 24, 82, 16], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [24, 16, 2] Generated Node #2: [24, 16, 2] from Operation: 82-80=2 Current State: 64:[24, 16, 2], Operations: ['82-80=2'] Exploring Operation: 24*2=48, Resulting Numbers: [16, 48] Generated Node #3: [16, 48] from Operation: 24*2=48 Current State: 64:[16, 48], Operations: ['82-80=2', '24*2=48'] Exploring Operation: 16+48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 51, 37, 3, 78 ]
52
[ "37-3=34", "78*34=2652", "2652/51=52" ]
Current State: 52:[51, 37, 3, 78], Operations: [] Exploring Operation: 37-3=34, Resulting Numbers: [51, 78, 34] Generated Node #2: [51, 78, 34] from Operation: 37-3=34 Current State: 52:[51, 78, 34], Operations: ['37-3=34'] Exploring Operation: 78*34=2652, Resulting Numbers: [51, 2652] Generated Node #3: [51, 2652] from Operation: 78*34=2652 Current State: 52:[51, 2652], Operations: ['37-3=34', '78*34=2652'] Exploring Operation: 2652/51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 71, 18, 72, 69 ]
65
[ "72-69=3", "18/3=6", "71-6=65" ]
Current State: 65:[71, 18, 72, 69], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [71, 18, 3] Generated Node #2: [71, 18, 3] from Operation: 72-69=3 Current State: 65:[71, 18, 3], Operations: ['72-69=3'] Exploring Operation: 18/3=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 18/3=6 Current State: 65:[71, 6], Operations: ['72-69=3', '18/3=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 83, 35, 37 ]
37
[ "26+83=109", "35+37=72", "109-72=37" ]
Current State: 37:[26, 83, 35, 37], Operations: [] Exploring Operation: 26+83=109, Resulting Numbers: [35, 37, 109] Generated Node #2: [35, 37, 109] from Operation: 26+83=109 Current State: 37:[35, 37, 109], Operations: ['26+83=109'] Exploring Operation: 35+37=72, Resulting Numbers: [109, 72] Generated Node #3: [109, 72] from Operation: 35+37=72 Current State: 37:[109, 72], Operations: ['26+83=109', '35+37=72'] Exploring Operation: 109-72=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 42, 10, 59 ]
11
[ "61-59=2", "42/2=21", "21-10=11" ]
Current State: 11:[61, 42, 10, 59], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [42, 10, 2] Generated Node #2: [42, 10, 2] from Operation: 61-59=2 Current State: 11:[42, 10, 2], Operations: ['61-59=2'] Exploring Operation: 42/2=21, Resulting Numbers: [10, 21] Generated Node #3: [10, 21] from Operation: 42/2=21 Current State: 11:[10, 21], Operations: ['61-59=2', '42/2=21'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 95, 92, 83 ]
93
[ "74+92=166", "166/83=2", "95-2=93" ]
Current State: 93:[74, 95, 92, 83], Operations: [] Exploring Operation: 74+92=166, Resulting Numbers: [95, 83, 166] Generated Node #2: [95, 83, 166] from Operation: 74+92=166 Current State: 93:[95, 83, 166], Operations: ['74+92=166'] Exploring Operation: 166/83=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 166/83=2 Current State: 93:[95, 2], Operations: ['74+92=166', '166/83=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 86, 43, 41, 93 ]
11
[ "86/43=2", "41*2=82", "93-82=11" ]
Current State: 11:[86, 43, 41, 93], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [41, 93, 2] Generated Node #2: [41, 93, 2] from Operation: 86/43=2 Current State: 11:[41, 93, 2], Operations: ['86/43=2'] Exploring Operation: 41*2=82, Resulting Numbers: [93, 82] Generated Node #3: [93, 82] from Operation: 41*2=82 Current State: 11:[93, 82], Operations: ['86/43=2', '41*2=82'] Exploring Operation: 93-82=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 26, 95, 12, 85 ]
34
[ "26+12=38", "85*38=3230", "3230/95=34" ]
Current State: 34:[26, 95, 12, 85], Operations: [] Exploring Operation: 26+12=38, Resulting Numbers: [95, 85, 38] Generated Node #2: [95, 85, 38] from Operation: 26+12=38 Current State: 34:[95, 85, 38], Operations: ['26+12=38'] Exploring Operation: 85*38=3230, Resulting Numbers: [95, 3230] Generated Node #3: [95, 3230] from Operation: 85*38=3230 Current State: 34:[95, 3230], Operations: ['26+12=38', '85*38=3230'] Exploring Operation: 3230/95=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 58, 34, 60 ]
89
[ "5+58=63", "60-34=26", "63+26=89" ]
Current State: 89:[5, 58, 34, 60], Operations: [] Exploring Operation: 5+58=63, Resulting Numbers: [34, 60, 63] Generated Node #2: [34, 60, 63] from Operation: 5+58=63 Current State: 89:[34, 60, 63], Operations: ['5+58=63'] Exploring Operation: 60-34=26, Resulting Numbers: [63, 26] Generated Node #3: [63, 26] from Operation: 60-34=26 Current State: 89:[63, 26], Operations: ['5+58=63', '60-34=26'] Exploring Operation: 63+26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 58, 23, 57, 30 ]
35
[ "58+57=115", "115/23=5", "30+5=35" ]
Current State: 35:[58, 23, 57, 30], Operations: [] Exploring Operation: 58+57=115, Resulting Numbers: [23, 30, 115] Generated Node #2: [23, 30, 115] from Operation: 58+57=115 Current State: 35:[23, 30, 115], Operations: ['58+57=115'] Exploring Operation: 115/23=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 115/23=5 Current State: 35:[30, 5], Operations: ['58+57=115', '115/23=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 97, 24, 22 ]
23
[ "97-28=69", "24+22=46", "69-46=23" ]
Current State: 23:[28, 97, 24, 22], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [24, 22, 69] Generated Node #2: [24, 22, 69] from Operation: 97-28=69 Current State: 23:[24, 22, 69], Operations: ['97-28=69'] Exploring Operation: 24+22=46, Resulting Numbers: [69, 46] Generated Node #3: [69, 46] from Operation: 24+22=46 Current State: 23:[69, 46], Operations: ['97-28=69', '24+22=46'] Exploring Operation: 69-46=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 46, 23, 46 ]
20
[ "43+46=89", "23+46=69", "89-69=20" ]
Current State: 20:[43, 46, 23, 46], Operations: [] Exploring Operation: 43+46=89, Resulting Numbers: [23, 89] Generated Node #2: [23, 89] from Operation: 43+46=89 Current State: 20:[23, 89], Operations: ['43+46=89'] Exploring Operation: 23+46=69, Resulting Numbers: [89, 69] Generated Node #3: [89, 69] from Operation: 23+46=69 Current State: 20:[89, 69], Operations: ['43+46=89', '23+46=69'] Exploring Operation: 89-69=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 14, 86, 1 ]
66
[ "6+14=20", "86*1=86", "86-20=66" ]
Current State: 66:[6, 14, 86, 1], Operations: [] Exploring Operation: 6+14=20, Resulting Numbers: [86, 1, 20] Generated Node #2: [86, 1, 20] from Operation: 6+14=20 Current State: 66:[86, 1, 20], Operations: ['6+14=20'] Exploring Operation: 86*1=86, Resulting Numbers: [20, 86] Generated Node #3: [20, 86] from Operation: 86*1=86 Current State: 66:[20, 86], Operations: ['6+14=20', '86*1=86'] Exploring Operation: 86-20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 87, 88, 5, 68 ]
17
[ "88-87=1", "5-1=4", "68/4=17" ]
Current State: 17:[87, 88, 5, 68], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [5, 68, 1] Generated Node #2: [5, 68, 1] from Operation: 88-87=1 Current State: 17:[5, 68, 1], Operations: ['88-87=1'] Exploring Operation: 5-1=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 5-1=4 Current State: 17:[68, 4], Operations: ['88-87=1', '5-1=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 1, 30, 93 ]
97
[ "90/30=3", "1+93=94", "3+94=97" ]
Current State: 97:[90, 1, 30, 93], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [1, 93, 3] Generated Node #2: [1, 93, 3] from Operation: 90/30=3 Current State: 97:[1, 93, 3], Operations: ['90/30=3'] Exploring Operation: 1+93=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 1+93=94 Current State: 97:[3, 94], Operations: ['90/30=3', '1+93=94'] Exploring Operation: 3+94=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 9, 28, 76 ]
66
[ "11-9=2", "76/2=38", "28+38=66" ]
Current State: 66:[11, 9, 28, 76], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [28, 76, 2] Generated Node #2: [28, 76, 2] from Operation: 11-9=2 Current State: 66:[28, 76, 2], Operations: ['11-9=2'] Exploring Operation: 76/2=38, Resulting Numbers: [28, 38] Generated Node #3: [28, 38] from Operation: 76/2=38 Current State: 66:[28, 38], Operations: ['11-9=2', '76/2=38'] Exploring Operation: 28+38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 86, 82, 73 ]
75
[ "86-6=80", "82+73=155", "155-80=75" ]
Current State: 75:[6, 86, 82, 73], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [82, 73, 80] Generated Node #2: [82, 73, 80] from Operation: 86-6=80 Current State: 75:[82, 73, 80], Operations: ['86-6=80'] Exploring Operation: 82+73=155, Resulting Numbers: [80, 155] Generated Node #3: [80, 155] from Operation: 82+73=155 Current State: 75:[80, 155], Operations: ['86-6=80', '82+73=155'] Exploring Operation: 155-80=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 34, 20, 26, 10 ]
58
[ "34+26=60", "20/10=2", "60-2=58" ]
Current State: 58:[34, 20, 26, 10], Operations: [] Exploring Operation: 34+26=60, Resulting Numbers: [20, 10, 60] Generated Node #2: [20, 10, 60] from Operation: 34+26=60 Current State: 58:[20, 10, 60], Operations: ['34+26=60'] Exploring Operation: 20/10=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 20/10=2 Current State: 58:[60, 2], Operations: ['34+26=60', '20/10=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 90, 84, 12, 62 ]
60
[ "90-84=6", "12/6=2", "62-2=60" ]
Current State: 60:[90, 84, 12, 62], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [12, 62, 6] Generated Node #2: [12, 62, 6] from Operation: 90-84=6 Current State: 60:[12, 62, 6], Operations: ['90-84=6'] Exploring Operation: 12/6=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 12/6=2 Current State: 60:[62, 2], Operations: ['90-84=6', '12/6=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 76, 34, 19 ]
96
[ "76-33=43", "34+19=53", "43+53=96" ]
Current State: 96:[33, 76, 34, 19], Operations: [] Exploring Operation: 76-33=43, Resulting Numbers: [34, 19, 43] Generated Node #2: [34, 19, 43] from Operation: 76-33=43 Current State: 96:[34, 19, 43], Operations: ['76-33=43'] Exploring Operation: 34+19=53, Resulting Numbers: [43, 53] Generated Node #3: [43, 53] from Operation: 34+19=53 Current State: 96:[43, 53], Operations: ['76-33=43', '34+19=53'] Exploring Operation: 43+53=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 25, 66, 56 ]
11
[ "25-4=21", "66-56=10", "21-10=11" ]
Current State: 11:[4, 25, 66, 56], Operations: [] Exploring Operation: 25-4=21, Resulting Numbers: [66, 56, 21] Generated Node #2: [66, 56, 21] from Operation: 25-4=21 Current State: 11:[66, 56, 21], Operations: ['25-4=21'] Exploring Operation: 66-56=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 66-56=10 Current State: 11:[21, 10], Operations: ['25-4=21', '66-56=10'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 60, 14, 48 ]
53
[ "14-2=12", "60/12=5", "48+5=53" ]
Current State: 53:[2, 60, 14, 48], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [60, 48, 12] Generated Node #2: [60, 48, 12] from Operation: 14-2=12 Current State: 53:[60, 48, 12], Operations: ['14-2=12'] Exploring Operation: 60/12=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 60/12=5 Current State: 53:[48, 5], Operations: ['14-2=12', '60/12=5'] Exploring Operation: 48+5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 41, 5, 25, 21 ]
41
[ "25-5=20", "21-20=1", "41*1=41" ]
Current State: 41:[41, 5, 25, 21], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [41, 21, 20] Generated Node #2: [41, 21, 20] from Operation: 25-5=20 Current State: 41:[41, 21, 20], Operations: ['25-5=20'] Exploring Operation: 21-20=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 21-20=1 Current State: 41:[41, 1], Operations: ['25-5=20', '21-20=1'] Exploring Operation: 41*1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 6, 99, 70, 71 ]
98
[ "99-71=28", "6*28=168", "168-70=98" ]
Current State: 98:[6, 99, 70, 71], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [6, 70, 28] Generated Node #2: [6, 70, 28] from Operation: 99-71=28 Current State: 98:[6, 70, 28], Operations: ['99-71=28'] Exploring Operation: 6*28=168, Resulting Numbers: [70, 168] Generated Node #3: [70, 168] from Operation: 6*28=168 Current State: 98:[70, 168], Operations: ['99-71=28', '6*28=168'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 38, 38, 26 ]
26
[ "38-38=0", "35*0=0", "26+0=26" ]
Current State: 26:[35, 38, 38, 26], Operations: [] Exploring Operation: 38-38=0, Resulting Numbers: [35, 26, 0] Generated Node #2: [35, 26, 0] from Operation: 38-38=0 Current State: 26:[35, 26, 0], Operations: ['38-38=0'] Exploring Operation: 35*0=0, Resulting Numbers: [26, 0] Generated Node #3: [26, 0] from Operation: 35*0=0 Current State: 26:[26, 0], Operations: ['38-38=0', '35*0=0'] Exploring Operation: 26+0=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 54, 5, 44, 86 ]
71
[ "54+5=59", "44+86=130", "130-59=71" ]
Current State: 71:[54, 5, 44, 86], Operations: [] Exploring Operation: 54+5=59, Resulting Numbers: [44, 86, 59] Generated Node #2: [44, 86, 59] from Operation: 54+5=59 Current State: 71:[44, 86, 59], Operations: ['54+5=59'] Exploring Operation: 44+86=130, Resulting Numbers: [59, 130] Generated Node #3: [59, 130] from Operation: 44+86=130 Current State: 71:[59, 130], Operations: ['54+5=59', '44+86=130'] Exploring Operation: 130-59=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 35, 59, 3 ]
20
[ "36-35=1", "59+1=60", "60/3=20" ]
Current State: 20:[36, 35, 59, 3], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [59, 3, 1] Generated Node #2: [59, 3, 1] from Operation: 36-35=1 Current State: 20:[59, 3, 1], Operations: ['36-35=1'] Exploring Operation: 59+1=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 59+1=60 Current State: 20:[3, 60], Operations: ['36-35=1', '59+1=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 25, 75, 72, 63 ]
85
[ "75-25=50", "72+63=135", "135-50=85" ]
Current State: 85:[25, 75, 72, 63], Operations: [] Exploring Operation: 75-25=50, Resulting Numbers: [72, 63, 50] Generated Node #2: [72, 63, 50] from Operation: 75-25=50 Current State: 85:[72, 63, 50], Operations: ['75-25=50'] Exploring Operation: 72+63=135, Resulting Numbers: [50, 135] Generated Node #3: [50, 135] from Operation: 72+63=135 Current State: 85:[50, 135], Operations: ['75-25=50', '72+63=135'] Exploring Operation: 135-50=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 4, 18, 17 ]
69
[ "66+4=70", "18-17=1", "70-1=69" ]
Current State: 69:[66, 4, 18, 17], Operations: [] Exploring Operation: 66+4=70, Resulting Numbers: [18, 17, 70] Generated Node #2: [18, 17, 70] from Operation: 66+4=70 Current State: 69:[18, 17, 70], Operations: ['66+4=70'] Exploring Operation: 18-17=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 18-17=1 Current State: 69:[70, 1], Operations: ['66+4=70', '18-17=1'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 48, 30, 60, 87 ]
41
[ "87-48=39", "60/30=2", "39+2=41" ]
Current State: 41:[48, 30, 60, 87], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [30, 60, 39] Generated Node #2: [30, 60, 39] from Operation: 87-48=39 Current State: 41:[30, 60, 39], Operations: ['87-48=39'] Exploring Operation: 60/30=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 60/30=2 Current State: 41:[39, 2], Operations: ['87-48=39', '60/30=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 43, 11, 55 ]
47
[ "55-11=44", "44/11=4", "43+4=47" ]
Current State: 47:[11, 43, 11, 55], Operations: [] Exploring Operation: 55-11=44, Resulting Numbers: [43, 44] Generated Node #2: [43, 44] from Operation: 55-11=44 Current State: 47:[43, 44], Operations: ['55-11=44'] Exploring Operation: 44/11=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 44/11=4 Current State: 47:[43, 4], Operations: ['55-11=44', '44/11=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 37, 43, 15 ]
15
[ "80-37=43", "43+15=58", "58-43=15" ]
Current State: 15:[80, 37, 43, 15], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [43, 15, 43] Generated Node #2: [43, 15, 43] from Operation: 80-37=43 Current State: 15:[43, 15, 43], Operations: ['80-37=43'] Exploring Operation: 43+15=58, Resulting Numbers: [58] 58,15 equal: Goal Reached Exploring Operation: 58-43=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 34, 77, 60, 31 ]
72
[ "77-34=43", "60-31=29", "43+29=72" ]
Current State: 72:[34, 77, 60, 31], Operations: [] Exploring Operation: 77-34=43, Resulting Numbers: [60, 31, 43] Generated Node #2: [60, 31, 43] from Operation: 77-34=43 Current State: 72:[60, 31, 43], Operations: ['77-34=43'] Exploring Operation: 60-31=29, Resulting Numbers: [43, 29] Generated Node #3: [43, 29] from Operation: 60-31=29 Current State: 72:[43, 29], Operations: ['77-34=43', '60-31=29'] Exploring Operation: 43+29=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 78, 33, 47, 34 ]
39
[ "47-34=13", "78/13=6", "33+6=39" ]
Current State: 39:[78, 33, 47, 34], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [78, 33, 13] Generated Node #2: [78, 33, 13] from Operation: 47-34=13 Current State: 39:[78, 33, 13], Operations: ['47-34=13'] Exploring Operation: 78/13=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 78/13=6 Current State: 39:[33, 6], Operations: ['47-34=13', '78/13=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 5, 58, 72 ]
50
[ "36*5=180", "58+72=130", "180-130=50" ]
Current State: 50:[36, 5, 58, 72], Operations: [] Exploring Operation: 36*5=180, Resulting Numbers: [58, 72, 180] Generated Node #2: [58, 72, 180] from Operation: 36*5=180 Current State: 50:[58, 72, 180], Operations: ['36*5=180'] Exploring Operation: 58+72=130, Resulting Numbers: [180, 130] Generated Node #3: [180, 130] from Operation: 58+72=130 Current State: 50:[180, 130], Operations: ['36*5=180', '58+72=130'] Exploring Operation: 180-130=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 81, 29, 31, 65 ]
97
[ "31-29=2", "81*2=162", "162-65=97" ]
Current State: 97:[81, 29, 31, 65], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [81, 65, 2] Generated Node #2: [81, 65, 2] from Operation: 31-29=2 Current State: 97:[81, 65, 2], Operations: ['31-29=2'] Exploring Operation: 81*2=162, Resulting Numbers: [65, 162] Generated Node #3: [65, 162] from Operation: 81*2=162 Current State: 97:[65, 162], Operations: ['31-29=2', '81*2=162'] Exploring Operation: 162-65=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4