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
[ 65, 1, 46, 81 ]
61
[ "65+1=66", "46+81=127", "127-66=61" ]
Current State: 61:[65, 1, 46, 81], Operations: [] Exploring Operation: 65+1=66, Resulting Numbers: [46, 81, 66] Generated Node #2: [46, 81, 66] from Operation: 65+1=66 Current State: 61:[46, 81, 66], Operations: ['65+1=66'] Exploring Operation: 46+81=127, Resulting Numbers: [66, 127] Generated Node #3: [66, 127] from Operation: 46+81=127 Current State: 61:[66, 127], Operations: ['65+1=66', '46+81=127'] Exploring Operation: 127-66=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 35, 70, 88, 48 ]
92
[ "70/35=2", "88/2=44", "48+44=92" ]
Current State: 92:[35, 70, 88, 48], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [88, 48, 2] Generated Node #2: [88, 48, 2] from Operation: 70/35=2 Current State: 92:[88, 48, 2], Operations: ['70/35=2'] Exploring Operation: 88/2=44, Resulting Numbers: [48, 44] Generated Node #3: [48, 44] from Operation: 88/2=44 Current State: 92:[48, 44], Operations: ['70/35=2', '88/2=44'] Exploring Operation: 48+44=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 86, 5, 2, 16 ]
89
[ "86-5=81", "16/2=8", "81+8=89" ]
Current State: 89:[86, 5, 2, 16], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [2, 16, 81] Generated Node #2: [2, 16, 81] from Operation: 86-5=81 Current State: 89:[2, 16, 81], Operations: ['86-5=81'] Exploring Operation: 16/2=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 16/2=8 Current State: 89:[81, 8], Operations: ['86-5=81', '16/2=8'] Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 9, 95, 22 ]
18
[ "90+9=99", "95+22=117", "117-99=18" ]
Current State: 18:[90, 9, 95, 22], Operations: [] Exploring Operation: 90+9=99, Resulting Numbers: [95, 22, 99] Generated Node #2: [95, 22, 99] from Operation: 90+9=99 Current State: 18:[95, 22, 99], Operations: ['90+9=99'] Exploring Operation: 95+22=117, Resulting Numbers: [99, 117] Generated Node #3: [99, 117] from Operation: 95+22=117 Current State: 18:[99, 117], Operations: ['90+9=99', '95+22=117'] Exploring Operation: 117-99=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 22, 19, 69, 58 ]
35
[ "22-19=3", "69/3=23", "58-23=35" ]
Current State: 35:[22, 19, 69, 58], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [69, 58, 3] Generated Node #2: [69, 58, 3] from Operation: 22-19=3 Current State: 35:[69, 58, 3], Operations: ['22-19=3'] Exploring Operation: 69/3=23, Resulting Numbers: [58, 23] Generated Node #3: [58, 23] from Operation: 69/3=23 Current State: 35:[58, 23], Operations: ['22-19=3', '69/3=23'] Exploring Operation: 58-23=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 18, 43, 19 ]
65
[ "71+18=89", "43-19=24", "89-24=65" ]
Current State: 65:[71, 18, 43, 19], Operations: [] Exploring Operation: 71+18=89, Resulting Numbers: [43, 19, 89] Generated Node #2: [43, 19, 89] from Operation: 71+18=89 Current State: 65:[43, 19, 89], Operations: ['71+18=89'] Exploring Operation: 43-19=24, Resulting Numbers: [89, 24] Generated Node #3: [89, 24] from Operation: 43-19=24 Current State: 65:[89, 24], Operations: ['71+18=89', '43-19=24'] Exploring Operation: 89-24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 44, 78, 77, 19 ]
64
[ "44+78=122", "77-19=58", "122-58=64" ]
Current State: 64:[44, 78, 77, 19], Operations: [] Exploring Operation: 44+78=122, Resulting Numbers: [77, 19, 122] Generated Node #2: [77, 19, 122] from Operation: 44+78=122 Current State: 64:[77, 19, 122], Operations: ['44+78=122'] Exploring Operation: 77-19=58, Resulting Numbers: [122, 58] Generated Node #3: [122, 58] from Operation: 77-19=58 Current State: 64:[122, 58], Operations: ['44+78=122', '77-19=58'] Exploring Operation: 122-58=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 31, 4, 12 ]
34
[ "12/12=1", "31+4=35", "35-1=34" ]
Current State: 34:[12, 31, 4, 12], Operations: [] Exploring Operation: 12/12=1, Resulting Numbers: [31, 4, 1] Generated Node #2: [31, 4, 1] from Operation: 12/12=1 Current State: 34:[31, 4, 1], Operations: ['12/12=1'] Exploring Operation: 31+4=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 31+4=35 Current State: 34:[1, 35], Operations: ['12/12=1', '31+4=35'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 91, 40, 99 ]
72
[ "99-91=8", "40/8=5", "77-5=72" ]
Current State: 72:[77, 91, 40, 99], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [77, 40, 8] Generated Node #2: [77, 40, 8] from Operation: 99-91=8 Current State: 72:[77, 40, 8], Operations: ['99-91=8'] Exploring Operation: 40/8=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 40/8=5 Current State: 72:[77, 5], Operations: ['99-91=8', '40/8=5'] Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 49, 39, 66, 67 ]
88
[ "49+39=88", "67-66=1", "88*1=88" ]
Current State: 88:[49, 39, 66, 67], Operations: [] Exploring Operation: 49+39=88, Resulting Numbers: [66, 67, 88] Generated Node #2: [66, 67, 88] from Operation: 49+39=88 Current State: 88:[66, 67, 88], Operations: ['49+39=88'] Exploring Operation: 67-66=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 67-66=1 Current State: 88:[88, 1], Operations: ['49+39=88', '67-66=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 37, 18, 44 ]
53
[ "42+37=79", "44-18=26", "79-26=53" ]
Current State: 53:[42, 37, 18, 44], Operations: [] Exploring Operation: 42+37=79, Resulting Numbers: [18, 44, 79] Generated Node #2: [18, 44, 79] from Operation: 42+37=79 Current State: 53:[18, 44, 79], Operations: ['42+37=79'] Exploring Operation: 44-18=26, Resulting Numbers: [79, 26] Generated Node #3: [79, 26] from Operation: 44-18=26 Current State: 53:[79, 26], Operations: ['42+37=79', '44-18=26'] Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 35, 32, 28, 51 ]
14
[ "51-35=16", "32/16=2", "28/2=14" ]
Current State: 14:[35, 32, 28, 51], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [32, 28, 16] Generated Node #2: [32, 28, 16] from Operation: 51-35=16 Current State: 14:[32, 28, 16], Operations: ['51-35=16'] Exploring Operation: 32/16=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 32/16=2 Current State: 14:[28, 2], Operations: ['51-35=16', '32/16=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 34, 5, 60 ]
95
[ "75-34=41", "60-41=19", "5*19=95" ]
Current State: 95:[75, 34, 5, 60], Operations: [] Exploring Operation: 75-34=41, Resulting Numbers: [5, 60, 41] Generated Node #2: [5, 60, 41] from Operation: 75-34=41 Current State: 95:[5, 60, 41], Operations: ['75-34=41'] Exploring Operation: 60-41=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 60-41=19 Current State: 95:[5, 19], Operations: ['75-34=41', '60-41=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 58, 2, 67, 97 ]
86
[ "58*2=116", "97-67=30", "116-30=86" ]
Current State: 86:[58, 2, 67, 97], Operations: [] Exploring Operation: 58*2=116, Resulting Numbers: [67, 97, 116] Generated Node #2: [67, 97, 116] from Operation: 58*2=116 Current State: 86:[67, 97, 116], Operations: ['58*2=116'] Exploring Operation: 97-67=30, Resulting Numbers: [116, 30] Generated Node #3: [116, 30] from Operation: 97-67=30 Current State: 86:[116, 30], Operations: ['58*2=116', '97-67=30'] Exploring Operation: 116-30=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 17, 9, 4 ]
69
[ "16+17=33", "9*4=36", "33+36=69" ]
Current State: 69:[16, 17, 9, 4], Operations: [] Exploring Operation: 16+17=33, Resulting Numbers: [9, 4, 33] Generated Node #2: [9, 4, 33] from Operation: 16+17=33 Current State: 69:[9, 4, 33], Operations: ['16+17=33'] Exploring Operation: 9*4=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 9*4=36 Current State: 69:[33, 36], Operations: ['16+17=33', '9*4=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 72, 72, 97, 21 ]
68
[ "72+72=144", "97-21=76", "144-76=68" ]
Current State: 68:[72, 72, 97, 21], Operations: [] Exploring Operation: 72+72=144, Resulting Numbers: [97, 21, 144] Generated Node #2: [97, 21, 144] from Operation: 72+72=144 Current State: 68:[97, 21, 144], Operations: ['72+72=144'] Exploring Operation: 97-21=76, Resulting Numbers: [144, 76] Generated Node #3: [144, 76] from Operation: 97-21=76 Current State: 68:[144, 76], Operations: ['72+72=144', '97-21=76'] Exploring Operation: 144-76=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 90, 13, 46 ]
32
[ "90-25=65", "46-13=33", "65-33=32" ]
Current State: 32:[25, 90, 13, 46], Operations: [] Exploring Operation: 90-25=65, Resulting Numbers: [13, 46, 65] Generated Node #2: [13, 46, 65] from Operation: 90-25=65 Current State: 32:[13, 46, 65], Operations: ['90-25=65'] Exploring Operation: 46-13=33, Resulting Numbers: [65, 33] Generated Node #3: [65, 33] from Operation: 46-13=33 Current State: 32:[65, 33], Operations: ['90-25=65', '46-13=33'] Exploring Operation: 65-33=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 12, 30, 2 ]
45
[ "12+30=42", "42/2=21", "24+21=45" ]
Current State: 45:[24, 12, 30, 2], Operations: [] Exploring Operation: 12+30=42, Resulting Numbers: [24, 2, 42] Generated Node #2: [24, 2, 42] from Operation: 12+30=42 Current State: 45:[24, 2, 42], Operations: ['12+30=42'] Exploring Operation: 42/2=21, Resulting Numbers: [24, 21] Generated Node #3: [24, 21] from Operation: 42/2=21 Current State: 45:[24, 21], Operations: ['12+30=42', '42/2=21'] Exploring Operation: 24+21=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 16, 87, 95 ]
96
[ "95-87=8", "10*8=80", "16+80=96" ]
Current State: 96:[10, 16, 87, 95], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [10, 16, 8] Generated Node #2: [10, 16, 8] from Operation: 95-87=8 Current State: 96:[10, 16, 8], Operations: ['95-87=8'] Exploring Operation: 10*8=80, Resulting Numbers: [16, 80] Generated Node #3: [16, 80] from Operation: 10*8=80 Current State: 96:[16, 80], Operations: ['95-87=8', '10*8=80'] Exploring Operation: 16+80=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 45, 38, 99 ]
27
[ "45-36=9", "99/9=11", "38-11=27" ]
Current State: 27:[36, 45, 38, 99], Operations: [] Exploring Operation: 45-36=9, Resulting Numbers: [38, 99, 9] Generated Node #2: [38, 99, 9] from Operation: 45-36=9 Current State: 27:[38, 99, 9], Operations: ['45-36=9'] Exploring Operation: 99/9=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 99/9=11 Current State: 27:[38, 11], Operations: ['45-36=9', '99/9=11'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 43, 37, 89 ]
29
[ "54+43=97", "37+89=126", "126-97=29" ]
Current State: 29:[54, 43, 37, 89], Operations: [] Exploring Operation: 54+43=97, Resulting Numbers: [37, 89, 97] Generated Node #2: [37, 89, 97] from Operation: 54+43=97 Current State: 29:[37, 89, 97], Operations: ['54+43=97'] Exploring Operation: 37+89=126, Resulting Numbers: [97, 126] Generated Node #3: [97, 126] from Operation: 37+89=126 Current State: 29:[97, 126], Operations: ['54+43=97', '37+89=126'] Exploring Operation: 126-97=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 44, 80, 84, 73 ]
47
[ "80-44=36", "84-73=11", "36+11=47" ]
Current State: 47:[44, 80, 84, 73], Operations: [] Exploring Operation: 80-44=36, Resulting Numbers: [84, 73, 36] Generated Node #2: [84, 73, 36] from Operation: 80-44=36 Current State: 47:[84, 73, 36], Operations: ['80-44=36'] Exploring Operation: 84-73=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 84-73=11 Current State: 47:[36, 11], Operations: ['80-44=36', '84-73=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 13, 65, 63, 85 ]
100
[ "13+65=78", "85-63=22", "78+22=100" ]
Current State: 100:[13, 65, 63, 85], Operations: [] Exploring Operation: 13+65=78, Resulting Numbers: [63, 85, 78] Generated Node #2: [63, 85, 78] from Operation: 13+65=78 Current State: 100:[63, 85, 78], Operations: ['13+65=78'] Exploring Operation: 85-63=22, Resulting Numbers: [78, 22] Generated Node #3: [78, 22] from Operation: 85-63=22 Current State: 100:[78, 22], Operations: ['13+65=78', '85-63=22'] Exploring Operation: 78+22=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 1, 67, 78, 68 ]
56
[ "67-1=66", "78-68=10", "66-10=56" ]
Current State: 56:[1, 67, 78, 68], Operations: [] Exploring Operation: 67-1=66, Resulting Numbers: [78, 68, 66] Generated Node #2: [78, 68, 66] from Operation: 67-1=66 Current State: 56:[78, 68, 66], Operations: ['67-1=66'] Exploring Operation: 78-68=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 78-68=10 Current State: 56:[66, 10], Operations: ['67-1=66', '78-68=10'] Exploring Operation: 66-10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 49, 8, 71 ]
13
[ "72/8=9", "71-49=22", "22-9=13" ]
Current State: 13:[72, 49, 8, 71], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [49, 71, 9] Generated Node #2: [49, 71, 9] from Operation: 72/8=9 Current State: 13:[49, 71, 9], Operations: ['72/8=9'] Exploring Operation: 71-49=22, Resulting Numbers: [9, 22] Generated Node #3: [9, 22] from Operation: 71-49=22 Current State: 13:[9, 22], Operations: ['72/8=9', '71-49=22'] Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 32, 83, 35 ]
80
[ "6+32=38", "83+35=118", "118-38=80" ]
Current State: 80:[6, 32, 83, 35], Operations: [] Exploring Operation: 6+32=38, Resulting Numbers: [83, 35, 38] Generated Node #2: [83, 35, 38] from Operation: 6+32=38 Current State: 80:[83, 35, 38], Operations: ['6+32=38'] Exploring Operation: 83+35=118, Resulting Numbers: [38, 118] Generated Node #3: [38, 118] from Operation: 83+35=118 Current State: 80:[38, 118], Operations: ['6+32=38', '83+35=118'] Exploring Operation: 118-38=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 96, 59, 48, 53 ]
56
[ "96/48=2", "59+53=112", "112/2=56" ]
Current State: 56:[96, 59, 48, 53], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [59, 53, 2] Generated Node #2: [59, 53, 2] from Operation: 96/48=2 Current State: 56:[59, 53, 2], Operations: ['96/48=2'] Exploring Operation: 59+53=112, Resulting Numbers: [2, 112] Generated Node #3: [2, 112] from Operation: 59+53=112 Current State: 56:[2, 112], Operations: ['96/48=2', '59+53=112'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 50, 2, 34 ]
88
[ "6+50=56", "34-2=32", "56+32=88" ]
Current State: 88:[6, 50, 2, 34], Operations: [] Exploring Operation: 6+50=56, Resulting Numbers: [2, 34, 56] Generated Node #2: [2, 34, 56] from Operation: 6+50=56 Current State: 88:[2, 34, 56], Operations: ['6+50=56'] Exploring Operation: 34-2=32, Resulting Numbers: [56, 32] Generated Node #3: [56, 32] from Operation: 34-2=32 Current State: 88:[56, 32], Operations: ['6+50=56', '34-2=32'] Exploring Operation: 56+32=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 4, 62, 30 ]
52
[ "4+62=66", "66/3=22", "30+22=52" ]
Current State: 52:[3, 4, 62, 30], Operations: [] Exploring Operation: 4+62=66, Resulting Numbers: [3, 30, 66] Generated Node #2: [3, 30, 66] from Operation: 4+62=66 Current State: 52:[3, 30, 66], Operations: ['4+62=66'] Exploring Operation: 66/3=22, Resulting Numbers: [30, 22] Generated Node #3: [30, 22] from Operation: 66/3=22 Current State: 52:[30, 22], Operations: ['4+62=66', '66/3=22'] Exploring Operation: 30+22=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 5, 60, 33 ]
95
[ "60-8=52", "52-33=19", "5*19=95" ]
Current State: 95:[8, 5, 60, 33], Operations: [] Exploring Operation: 60-8=52, Resulting Numbers: [5, 33, 52] Generated Node #2: [5, 33, 52] from Operation: 60-8=52 Current State: 95:[5, 33, 52], Operations: ['60-8=52'] Exploring Operation: 52-33=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 52-33=19 Current State: 95:[5, 19], Operations: ['60-8=52', '52-33=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 99, 11, 77 ]
59
[ "99+77=176", "176/11=16", "43+16=59" ]
Current State: 59:[43, 99, 11, 77], Operations: [] Exploring Operation: 99+77=176, Resulting Numbers: [43, 11, 176] Generated Node #2: [43, 11, 176] from Operation: 99+77=176 Current State: 59:[43, 11, 176], Operations: ['99+77=176'] Exploring Operation: 176/11=16, Resulting Numbers: [43, 16] Generated Node #3: [43, 16] from Operation: 176/11=16 Current State: 59:[43, 16], Operations: ['99+77=176', '176/11=16'] Exploring Operation: 43+16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 24, 96, 43 ]
49
[ "24*24=576", "576/96=6", "43+6=49" ]
Current State: 49:[24, 24, 96, 43], Operations: [] Exploring Operation: 24*24=576, Resulting Numbers: [96, 43, 576] Generated Node #2: [96, 43, 576] from Operation: 24*24=576 Current State: 49:[96, 43, 576], Operations: ['24*24=576'] Exploring Operation: 576/96=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 576/96=6 Current State: 49:[43, 6], Operations: ['24*24=576', '576/96=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 11, 15, 40, 39 ]
12
[ "11+39=50", "15*40=600", "600/50=12" ]
Current State: 12:[11, 15, 40, 39], Operations: [] Exploring Operation: 11+39=50, Resulting Numbers: [15, 40, 50] Generated Node #2: [15, 40, 50] from Operation: 11+39=50 Current State: 12:[15, 40, 50], Operations: ['11+39=50'] Exploring Operation: 15*40=600, Resulting Numbers: [50, 600] Generated Node #3: [50, 600] from Operation: 15*40=600 Current State: 12:[50, 600], Operations: ['11+39=50', '15*40=600'] Exploring Operation: 600/50=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 15, 34, 66, 32 ]
16
[ "66-34=32", "32/32=1", "15+1=16" ]
Current State: 16:[15, 34, 66, 32], Operations: [] Exploring Operation: 66-34=32, Resulting Numbers: [15, 32, 32] Generated Node #2: [15, 32, 32] from Operation: 66-34=32 Current State: 16:[15, 32, 32], Operations: ['66-34=32'] Exploring Operation: 32/32=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 32/32=1 Current State: 16:[15, 1], Operations: ['66-34=32', '32/32=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 45, 65, 36 ]
64
[ "48+45=93", "65-36=29", "93-29=64" ]
Current State: 64:[48, 45, 65, 36], Operations: [] Exploring Operation: 48+45=93, Resulting Numbers: [65, 36, 93] Generated Node #2: [65, 36, 93] from Operation: 48+45=93 Current State: 64:[65, 36, 93], Operations: ['48+45=93'] Exploring Operation: 65-36=29, Resulting Numbers: [93, 29] Generated Node #3: [93, 29] from Operation: 65-36=29 Current State: 64:[93, 29], Operations: ['48+45=93', '65-36=29'] Exploring Operation: 93-29=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 43, 67, 27, 36 ]
12
[ "67-43=24", "27-24=3", "36/3=12" ]
Current State: 12:[43, 67, 27, 36], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [27, 36, 24] Generated Node #2: [27, 36, 24] from Operation: 67-43=24 Current State: 12:[27, 36, 24], Operations: ['67-43=24'] Exploring Operation: 27-24=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 27-24=3 Current State: 12:[36, 3], Operations: ['67-43=24', '27-24=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 30, 31, 4, 51 ]
17
[ "31-30=1", "4-1=3", "51/3=17" ]
Current State: 17:[30, 31, 4, 51], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [4, 51, 1] Generated Node #2: [4, 51, 1] from Operation: 31-30=1 Current State: 17:[4, 51, 1], Operations: ['31-30=1'] Exploring Operation: 4-1=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 4-1=3 Current State: 17:[51, 3], Operations: ['31-30=1', '4-1=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 76, 40, 84, 64 ]
47
[ "76-64=12", "84/12=7", "40+7=47" ]
Current State: 47:[76, 40, 84, 64], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [40, 84, 12] Generated Node #2: [40, 84, 12] from Operation: 76-64=12 Current State: 47:[40, 84, 12], Operations: ['76-64=12'] Exploring Operation: 84/12=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 84/12=7 Current State: 47:[40, 7], Operations: ['76-64=12', '84/12=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 72, 89, 88, 90 ]
19
[ "89-72=17", "90-88=2", "17+2=19" ]
Current State: 19:[72, 89, 88, 90], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [88, 90, 17] Generated Node #2: [88, 90, 17] from Operation: 89-72=17 Current State: 19:[88, 90, 17], Operations: ['89-72=17'] Exploring Operation: 90-88=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 90-88=2 Current State: 19:[17, 2], Operations: ['89-72=17', '90-88=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 16, 33, 7 ]
92
[ "16+33=49", "49/7=7", "85+7=92" ]
Current State: 92:[85, 16, 33, 7], Operations: [] Exploring Operation: 16+33=49, Resulting Numbers: [85, 7, 49] Generated Node #2: [85, 7, 49] from Operation: 16+33=49 Current State: 92:[85, 7, 49], Operations: ['16+33=49'] Exploring Operation: 49/7=7, Resulting Numbers: [85, 7] Generated Node #3: [85, 7] from Operation: 49/7=7 Current State: 92:[85, 7], Operations: ['16+33=49', '49/7=7'] Exploring Operation: 85+7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 20, 76, 1 ]
61
[ "20-1=19", "76/19=4", "57+4=61" ]
Current State: 61:[57, 20, 76, 1], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [57, 76, 19] Generated Node #2: [57, 76, 19] from Operation: 20-1=19 Current State: 61:[57, 76, 19], Operations: ['20-1=19'] Exploring Operation: 76/19=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 76/19=4 Current State: 61:[57, 4], Operations: ['20-1=19', '76/19=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 2, 94, 1 ]
65
[ "94-62=32", "2*32=64", "1+64=65" ]
Current State: 65:[62, 2, 94, 1], Operations: [] Exploring Operation: 94-62=32, Resulting Numbers: [2, 1, 32] Generated Node #2: [2, 1, 32] from Operation: 94-62=32 Current State: 65:[2, 1, 32], Operations: ['94-62=32'] Exploring Operation: 2*32=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operation: 2*32=64 Current State: 65:[1, 64], Operations: ['94-62=32', '2*32=64'] Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 96, 17, 20 ]
98
[ "20-17=3", "6/3=2", "96+2=98" ]
Current State: 98:[6, 96, 17, 20], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [6, 96, 3] Generated Node #2: [6, 96, 3] from Operation: 20-17=3 Current State: 98:[6, 96, 3], Operations: ['20-17=3'] Exploring Operation: 6/3=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 6/3=2 Current State: 98:[96, 2], Operations: ['20-17=3', '6/3=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 2, 87, 79 ]
48
[ "38+2=40", "87-79=8", "40+8=48" ]
Current State: 48:[38, 2, 87, 79], Operations: [] Exploring Operation: 38+2=40, Resulting Numbers: [87, 79, 40] Generated Node #2: [87, 79, 40] from Operation: 38+2=40 Current State: 48:[87, 79, 40], Operations: ['38+2=40'] Exploring Operation: 87-79=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 87-79=8 Current State: 48:[40, 8], Operations: ['38+2=40', '87-79=8'] Exploring Operation: 40+8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 88, 65, 90, 12 ]
59
[ "90-88=2", "12/2=6", "65-6=59" ]
Current State: 59:[88, 65, 90, 12], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [65, 12, 2] Generated Node #2: [65, 12, 2] from Operation: 90-88=2 Current State: 59:[65, 12, 2], Operations: ['90-88=2'] Exploring Operation: 12/2=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 12/2=6 Current State: 59:[65, 6], Operations: ['90-88=2', '12/2=6'] Exploring Operation: 65-6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 10, 67, 43 ]
75
[ "45-10=35", "67+43=110", "110-35=75" ]
Current State: 75:[45, 10, 67, 43], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [67, 43, 35] Generated Node #2: [67, 43, 35] from Operation: 45-10=35 Current State: 75:[67, 43, 35], Operations: ['45-10=35'] Exploring Operation: 67+43=110, Resulting Numbers: [35, 110] Generated Node #3: [35, 110] from Operation: 67+43=110 Current State: 75:[35, 110], Operations: ['45-10=35', '67+43=110'] Exploring Operation: 110-35=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 34, 6, 41 ]
45
[ "34+6=40", "41-40=1", "45*1=45" ]
Current State: 45:[45, 34, 6, 41], Operations: [] Exploring Operation: 34+6=40, Resulting Numbers: [45, 41, 40] Generated Node #2: [45, 41, 40] from Operation: 34+6=40 Current State: 45:[45, 41, 40], Operations: ['34+6=40'] Exploring Operation: 41-40=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 41-40=1 Current State: 45:[45, 1], Operations: ['34+6=40', '41-40=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 24, 81, 83, 88 ]
85
[ "88-81=7", "24*7=168", "168-83=85" ]
Current State: 85:[24, 81, 83, 88], Operations: [] Exploring Operation: 88-81=7, Resulting Numbers: [24, 83, 7] Generated Node #2: [24, 83, 7] from Operation: 88-81=7 Current State: 85:[24, 83, 7], Operations: ['88-81=7'] Exploring Operation: 24*7=168, Resulting Numbers: [83, 168] Generated Node #3: [83, 168] from Operation: 24*7=168 Current State: 85:[83, 168], Operations: ['88-81=7', '24*7=168'] Exploring Operation: 168-83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 60, 8, 62, 31 ]
56
[ "8*31=248", "248/62=4", "60-4=56" ]
Current State: 56:[60, 8, 62, 31], Operations: [] Exploring Operation: 8*31=248, Resulting Numbers: [60, 62, 248] Generated Node #2: [60, 62, 248] from Operation: 8*31=248 Current State: 56:[60, 62, 248], Operations: ['8*31=248'] Exploring Operation: 248/62=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 248/62=4 Current State: 56:[60, 4], Operations: ['8*31=248', '248/62=4'] Exploring Operation: 60-4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 88, 44, 27 ]
81
[ "44+88=132", "132/44=3", "27*3=81" ]
Current State: 81:[44, 88, 44, 27], Operations: [] Exploring Operation: 44+88=132, Resulting Numbers: [27, 132] Generated Node #2: [27, 132] from Operation: 44+88=132 Current State: 81:[27, 132], Operations: ['44+88=132'] Exploring Operation: 132/44=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 132/44=3 Current State: 81:[27, 3], Operations: ['44+88=132', '132/44=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 61, 29, 78, 54 ]
66
[ "61+29=90", "78-54=24", "90-24=66" ]
Current State: 66:[61, 29, 78, 54], Operations: [] Exploring Operation: 61+29=90, Resulting Numbers: [78, 54, 90] Generated Node #2: [78, 54, 90] from Operation: 61+29=90 Current State: 66:[78, 54, 90], Operations: ['61+29=90'] Exploring Operation: 78-54=24, Resulting Numbers: [90, 24] Generated Node #3: [90, 24] from Operation: 78-54=24 Current State: 66:[90, 24], Operations: ['61+29=90', '78-54=24'] Exploring Operation: 90-24=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 22, 21, 37, 19 ]
48
[ "22-19=3", "37-21=16", "3*16=48" ]
Current State: 48:[22, 21, 37, 19], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [21, 37, 3] Generated Node #2: [21, 37, 3] from Operation: 22-19=3 Current State: 48:[21, 37, 3], Operations: ['22-19=3'] Exploring Operation: 37-21=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 37-21=16 Current State: 48:[3, 16], Operations: ['22-19=3', '37-21=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 77, 52, 22 ]
90
[ "26-22=4", "52/4=13", "77+13=90" ]
Current State: 90:[26, 77, 52, 22], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [77, 52, 4] Generated Node #2: [77, 52, 4] from Operation: 26-22=4 Current State: 90:[77, 52, 4], Operations: ['26-22=4'] Exploring Operation: 52/4=13, Resulting Numbers: [77, 13] Generated Node #3: [77, 13] from Operation: 52/4=13 Current State: 90:[77, 13], Operations: ['26-22=4', '52/4=13'] Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 74, 86, 59 ]
47
[ "24+74=98", "86+59=145", "145-98=47" ]
Current State: 47:[24, 74, 86, 59], Operations: [] Exploring Operation: 24+74=98, Resulting Numbers: [86, 59, 98] Generated Node #2: [86, 59, 98] from Operation: 24+74=98 Current State: 47:[86, 59, 98], Operations: ['24+74=98'] Exploring Operation: 86+59=145, Resulting Numbers: [98, 145] Generated Node #3: [98, 145] from Operation: 86+59=145 Current State: 47:[98, 145], Operations: ['24+74=98', '86+59=145'] Exploring Operation: 145-98=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 84, 20, 85, 72 ]
93
[ "84-20=64", "85+72=157", "157-64=93" ]
Current State: 93:[84, 20, 85, 72], Operations: [] Exploring Operation: 84-20=64, Resulting Numbers: [85, 72, 64] Generated Node #2: [85, 72, 64] from Operation: 84-20=64 Current State: 93:[85, 72, 64], Operations: ['84-20=64'] Exploring Operation: 85+72=157, Resulting Numbers: [64, 157] Generated Node #3: [64, 157] from Operation: 85+72=157 Current State: 93:[64, 157], Operations: ['84-20=64', '85+72=157'] Exploring Operation: 157-64=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 25, 19, 17, 13 ]
37
[ "19-17=2", "25*2=50", "50-13=37" ]
Current State: 37:[25, 19, 17, 13], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [25, 13, 2] Generated Node #2: [25, 13, 2] from Operation: 19-17=2 Current State: 37:[25, 13, 2], Operations: ['19-17=2'] Exploring Operation: 25*2=50, Resulting Numbers: [13, 50] Generated Node #3: [13, 50] from Operation: 25*2=50 Current State: 37:[13, 50], Operations: ['19-17=2', '25*2=50'] Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 75, 9, 53 ]
11
[ "13*9=117", "75+53=128", "128-117=11" ]
Current State: 11:[13, 75, 9, 53], Operations: [] Exploring Operation: 13*9=117, Resulting Numbers: [75, 53, 117] Generated Node #2: [75, 53, 117] from Operation: 13*9=117 Current State: 11:[75, 53, 117], Operations: ['13*9=117'] Exploring Operation: 75+53=128, Resulting Numbers: [117, 128] Generated Node #3: [117, 128] from Operation: 75+53=128 Current State: 11:[117, 128], Operations: ['13*9=117', '75+53=128'] Exploring Operation: 128-117=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 74, 37, 23, 37 ]
24
[ "74-37=37", "37/37=1", "23+1=24" ]
Current State: 24:[74, 37, 23, 37], Operations: [] Exploring Operation: 74-37=37, Resulting Numbers: [23, 37] Generated Node #2: [23, 37] from Operation: 74-37=37 Current State: 24:[23, 37], Operations: ['74-37=37'] Exploring Operation: 37/37=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 37/37=1 Current State: 24:[23, 1], Operations: ['74-37=37', '37/37=1'] Exploring Operation: 23+1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 84, 39, 25 ]
35
[ "39-25=14", "84/14=6", "29+6=35" ]
Current State: 35:[29, 84, 39, 25], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [29, 84, 14] Generated Node #2: [29, 84, 14] from Operation: 39-25=14 Current State: 35:[29, 84, 14], Operations: ['39-25=14'] Exploring Operation: 84/14=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 84/14=6 Current State: 35:[29, 6], Operations: ['39-25=14', '84/14=6'] Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 24, 71, 98, 99 ]
95
[ "24+71=95", "99-98=1", "95*1=95" ]
Current State: 95:[24, 71, 98, 99], Operations: [] Exploring Operation: 24+71=95, Resulting Numbers: [98, 99, 95] Generated Node #2: [98, 99, 95] from Operation: 24+71=95 Current State: 95:[98, 99, 95], Operations: ['24+71=95'] Exploring Operation: 99-98=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 99-98=1 Current State: 95:[95, 1], Operations: ['24+71=95', '99-98=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 41, 93, 59 ]
85
[ "93-41=52", "52/2=26", "59+26=85" ]
Current State: 85:[2, 41, 93, 59], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [2, 59, 52] Generated Node #2: [2, 59, 52] from Operation: 93-41=52 Current State: 85:[2, 59, 52], Operations: ['93-41=52'] Exploring Operation: 52/2=26, Resulting Numbers: [59, 26] Generated Node #3: [59, 26] from Operation: 52/2=26 Current State: 85:[59, 26], Operations: ['93-41=52', '52/2=26'] Exploring Operation: 59+26=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 57, 10, 54 ]
52
[ "54-4=50", "50/10=5", "57-5=52" ]
Current State: 52:[4, 57, 10, 54], Operations: [] Exploring Operation: 54-4=50, Resulting Numbers: [57, 10, 50] Generated Node #2: [57, 10, 50] from Operation: 54-4=50 Current State: 52:[57, 10, 50], Operations: ['54-4=50'] Exploring Operation: 50/10=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 50/10=5 Current State: 52:[57, 5], Operations: ['54-4=50', '50/10=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 52, 12, 68, 17 ]
80
[ "68-52=16", "17-12=5", "16*5=80" ]
Current State: 80:[52, 12, 68, 17], Operations: [] Exploring Operation: 68-52=16, Resulting Numbers: [12, 17, 16] Generated Node #2: [12, 17, 16] from Operation: 68-52=16 Current State: 80:[12, 17, 16], Operations: ['68-52=16'] Exploring Operation: 17-12=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 17-12=5 Current State: 80:[16, 5], Operations: ['68-52=16', '17-12=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 70, 31, 32 ]
16
[ "70-37=33", "33-31=2", "32/2=16" ]
Current State: 16:[37, 70, 31, 32], Operations: [] Exploring Operation: 70-37=33, Resulting Numbers: [31, 32, 33] Generated Node #2: [31, 32, 33] from Operation: 70-37=33 Current State: 16:[31, 32, 33], Operations: ['70-37=33'] Exploring Operation: 33-31=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 33-31=2 Current State: 16:[32, 2], Operations: ['70-37=33', '33-31=2'] Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 8, 40, 13, 90 ]
25
[ "40/8=5", "13*5=65", "90-65=25" ]
Current State: 25:[8, 40, 13, 90], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [13, 90, 5] Generated Node #2: [13, 90, 5] from Operation: 40/8=5 Current State: 25:[13, 90, 5], Operations: ['40/8=5'] Exploring Operation: 13*5=65, Resulting Numbers: [90, 65] Generated Node #3: [90, 65] from Operation: 13*5=65 Current State: 25:[90, 65], Operations: ['40/8=5', '13*5=65'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 84, 40, 55, 18 ]
51
[ "84+40=124", "55+18=73", "124-73=51" ]
Current State: 51:[84, 40, 55, 18], Operations: [] Exploring Operation: 84+40=124, Resulting Numbers: [55, 18, 124] Generated Node #2: [55, 18, 124] from Operation: 84+40=124 Current State: 51:[55, 18, 124], Operations: ['84+40=124'] Exploring Operation: 55+18=73, Resulting Numbers: [124, 73] Generated Node #3: [124, 73] from Operation: 55+18=73 Current State: 51:[124, 73], Operations: ['84+40=124', '55+18=73'] Exploring Operation: 124-73=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 2, 79, 85 ]
75
[ "79-59=20", "20/2=10", "85-10=75" ]
Current State: 75:[59, 2, 79, 85], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [2, 85, 20] Generated Node #2: [2, 85, 20] from Operation: 79-59=20 Current State: 75:[2, 85, 20], Operations: ['79-59=20'] Exploring Operation: 20/2=10, Resulting Numbers: [85, 10] Generated Node #3: [85, 10] from Operation: 20/2=10 Current State: 75:[85, 10], Operations: ['79-59=20', '20/2=10'] Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 13, 78, 43 ]
53
[ "5+13=18", "78-43=35", "18+35=53" ]
Current State: 53:[5, 13, 78, 43], Operations: [] Exploring Operation: 5+13=18, Resulting Numbers: [78, 43, 18] Generated Node #2: [78, 43, 18] from Operation: 5+13=18 Current State: 53:[78, 43, 18], Operations: ['5+13=18'] Exploring Operation: 78-43=35, Resulting Numbers: [18, 35] Generated Node #3: [18, 35] from Operation: 78-43=35 Current State: 53:[18, 35], Operations: ['5+13=18', '78-43=35'] Exploring Operation: 18+35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 63, 85, 62, 42 ]
82
[ "85-63=22", "62+42=104", "104-22=82" ]
Current State: 82:[63, 85, 62, 42], Operations: [] Exploring Operation: 85-63=22, Resulting Numbers: [62, 42, 22] Generated Node #2: [62, 42, 22] from Operation: 85-63=22 Current State: 82:[62, 42, 22], Operations: ['85-63=22'] Exploring Operation: 62+42=104, Resulting Numbers: [22, 104] Generated Node #3: [22, 104] from Operation: 62+42=104 Current State: 82:[22, 104], Operations: ['85-63=22', '62+42=104'] Exploring Operation: 104-22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 94, 17, 75, 56 ]
96
[ "94-17=77", "75-56=19", "77+19=96" ]
Current State: 96:[94, 17, 75, 56], Operations: [] Exploring Operation: 94-17=77, Resulting Numbers: [75, 56, 77] Generated Node #2: [75, 56, 77] from Operation: 94-17=77 Current State: 96:[75, 56, 77], Operations: ['94-17=77'] Exploring Operation: 75-56=19, Resulting Numbers: [77, 19] Generated Node #3: [77, 19] from Operation: 75-56=19 Current State: 96:[77, 19], Operations: ['94-17=77', '75-56=19'] Exploring Operation: 77+19=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 40, 10, 75 ]
55
[ "3*40=120", "75-10=65", "120-65=55" ]
Current State: 55:[3, 40, 10, 75], Operations: [] Exploring Operation: 3*40=120, Resulting Numbers: [10, 75, 120] Generated Node #2: [10, 75, 120] from Operation: 3*40=120 Current State: 55:[10, 75, 120], Operations: ['3*40=120'] Exploring Operation: 75-10=65, Resulting Numbers: [120, 65] Generated Node #3: [120, 65] from Operation: 75-10=65 Current State: 55:[120, 65], Operations: ['3*40=120', '75-10=65'] Exploring Operation: 120-65=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 53, 81, 59, 6 ]
37
[ "81-53=28", "59+6=65", "65-28=37" ]
Current State: 37:[53, 81, 59, 6], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [59, 6, 28] Generated Node #2: [59, 6, 28] from Operation: 81-53=28 Current State: 37:[59, 6, 28], Operations: ['81-53=28'] Exploring Operation: 59+6=65, Resulting Numbers: [28, 65] Generated Node #3: [28, 65] from Operation: 59+6=65 Current State: 37:[28, 65], Operations: ['81-53=28', '59+6=65'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 39, 43, 11 ]
54
[ "61-39=22", "43-11=32", "22+32=54" ]
Current State: 54:[61, 39, 43, 11], Operations: [] Exploring Operation: 61-39=22, Resulting Numbers: [43, 11, 22] Generated Node #2: [43, 11, 22] from Operation: 61-39=22 Current State: 54:[43, 11, 22], Operations: ['61-39=22'] Exploring Operation: 43-11=32, Resulting Numbers: [22, 32] Generated Node #3: [22, 32] from Operation: 43-11=32 Current State: 54:[22, 32], Operations: ['61-39=22', '43-11=32'] Exploring Operation: 22+32=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 18, 70, 32, 86 ]
36
[ "18*32=576", "86-70=16", "576/16=36" ]
Current State: 36:[18, 70, 32, 86], Operations: [] Exploring Operation: 18*32=576, Resulting Numbers: [70, 86, 576] Generated Node #2: [70, 86, 576] from Operation: 18*32=576 Current State: 36:[70, 86, 576], Operations: ['18*32=576'] Exploring Operation: 86-70=16, Resulting Numbers: [576, 16] Generated Node #3: [576, 16] from Operation: 86-70=16 Current State: 36:[576, 16], Operations: ['18*32=576', '86-70=16'] Exploring Operation: 576/16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 38, 52, 19 ]
100
[ "38-30=8", "19*8=152", "152-52=100" ]
Current State: 100:[30, 38, 52, 19], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [52, 19, 8] Generated Node #2: [52, 19, 8] from Operation: 38-30=8 Current State: 100:[52, 19, 8], Operations: ['38-30=8'] Exploring Operation: 19*8=152, Resulting Numbers: [52, 152] Generated Node #3: [52, 152] from Operation: 19*8=152 Current State: 100:[52, 152], Operations: ['38-30=8', '19*8=152'] Exploring Operation: 152-52=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 51, 7, 75 ]
56
[ "51+75=126", "126/7=18", "74-18=56" ]
Current State: 56:[74, 51, 7, 75], Operations: [] Exploring Operation: 51+75=126, Resulting Numbers: [74, 7, 126] Generated Node #2: [74, 7, 126] from Operation: 51+75=126 Current State: 56:[74, 7, 126], Operations: ['51+75=126'] Exploring Operation: 126/7=18, Resulting Numbers: [74, 18] Generated Node #3: [74, 18] from Operation: 126/7=18 Current State: 56:[74, 18], Operations: ['51+75=126', '126/7=18'] Exploring Operation: 74-18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 50, 31, 11 ]
69
[ "50-1=49", "31-11=20", "49+20=69" ]
Current State: 69:[1, 50, 31, 11], Operations: [] Exploring Operation: 50-1=49, Resulting Numbers: [31, 11, 49] Generated Node #2: [31, 11, 49] from Operation: 50-1=49 Current State: 69:[31, 11, 49], Operations: ['50-1=49'] Exploring Operation: 31-11=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 31-11=20 Current State: 69:[49, 20], Operations: ['50-1=49', '31-11=20'] Exploring Operation: 49+20=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 39, 54, 51 ]
87
[ "2*51=102", "54-39=15", "102-15=87" ]
Current State: 87:[2, 39, 54, 51], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [39, 54, 102] Generated Node #2: [39, 54, 102] from Operation: 2*51=102 Current State: 87:[39, 54, 102], Operations: ['2*51=102'] Exploring Operation: 54-39=15, Resulting Numbers: [102, 15] Generated Node #3: [102, 15] from Operation: 54-39=15 Current State: 87:[102, 15], Operations: ['2*51=102', '54-39=15'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 82, 8, 44, 14 ]
60
[ "82+8=90", "44-14=30", "90-30=60" ]
Current State: 60:[82, 8, 44, 14], Operations: [] Exploring Operation: 82+8=90, Resulting Numbers: [44, 14, 90] Generated Node #2: [44, 14, 90] from Operation: 82+8=90 Current State: 60:[44, 14, 90], Operations: ['82+8=90'] Exploring Operation: 44-14=30, Resulting Numbers: [90, 30] Generated Node #3: [90, 30] from Operation: 44-14=30 Current State: 60:[90, 30], Operations: ['82+8=90', '44-14=30'] Exploring Operation: 90-30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 95, 92, 18, 26 ]
60
[ "95-92=3", "26*3=78", "78-18=60" ]
Current State: 60:[95, 92, 18, 26], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [18, 26, 3] Generated Node #2: [18, 26, 3] from Operation: 95-92=3 Current State: 60:[18, 26, 3], Operations: ['95-92=3'] Exploring Operation: 26*3=78, Resulting Numbers: [18, 78] Generated Node #3: [18, 78] from Operation: 26*3=78 Current State: 60:[18, 78], Operations: ['95-92=3', '26*3=78'] Exploring Operation: 78-18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 63, 82, 7 ]
13
[ "82-63=19", "7+19=26", "26/2=13" ]
Current State: 13:[2, 63, 82, 7], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [2, 7, 19] Generated Node #2: [2, 7, 19] from Operation: 82-63=19 Current State: 13:[2, 7, 19], Operations: ['82-63=19'] Exploring Operation: 7+19=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 7+19=26 Current State: 13:[2, 26], Operations: ['82-63=19', '7+19=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 71, 26, 24, 49 ]
71
[ "26+24=50", "50-49=1", "71*1=71" ]
Current State: 71:[71, 26, 24, 49], Operations: [] Exploring Operation: 26+24=50, Resulting Numbers: [71, 49, 50] Generated Node #2: [71, 49, 50] from Operation: 26+24=50 Current State: 71:[71, 49, 50], Operations: ['26+24=50'] Exploring Operation: 50-49=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 50-49=1 Current State: 71:[71, 1], Operations: ['26+24=50', '50-49=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 38, 2, 95 ]
38
[ "92+2=94", "95-94=1", "38*1=38" ]
Current State: 38:[92, 38, 2, 95], Operations: [] Exploring Operation: 92+2=94, Resulting Numbers: [38, 95, 94] Generated Node #2: [38, 95, 94] from Operation: 92+2=94 Current State: 38:[38, 95, 94], Operations: ['92+2=94'] Exploring Operation: 95-94=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 95-94=1 Current State: 38:[38, 1], Operations: ['92+2=94', '95-94=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 80, 8, 15 ]
40
[ "15+15=30", "80/8=10", "30+10=40" ]
Current State: 40:[15, 80, 8, 15], Operations: [] Exploring Operation: 15+15=30, Resulting Numbers: [80, 8, 30] Generated Node #2: [80, 8, 30] from Operation: 15+15=30 Current State: 40:[80, 8, 30], Operations: ['15+15=30'] Exploring Operation: 80/8=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 80/8=10 Current State: 40:[30, 10], Operations: ['15+15=30', '80/8=10'] Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 73, 25, 48, 22 ]
89
[ "25-22=3", "48/3=16", "73+16=89" ]
Current State: 89:[73, 25, 48, 22], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [73, 48, 3] Generated Node #2: [73, 48, 3] from Operation: 25-22=3 Current State: 89:[73, 48, 3], Operations: ['25-22=3'] Exploring Operation: 48/3=16, Resulting Numbers: [73, 16] Generated Node #3: [73, 16] from Operation: 48/3=16 Current State: 89:[73, 16], Operations: ['25-22=3', '48/3=16'] Exploring Operation: 73+16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 43, 35, 27 ]
41
[ "19+35=54", "54/27=2", "43-2=41" ]
Current State: 41:[19, 43, 35, 27], Operations: [] Exploring Operation: 19+35=54, Resulting Numbers: [43, 27, 54] Generated Node #2: [43, 27, 54] from Operation: 19+35=54 Current State: 41:[43, 27, 54], Operations: ['19+35=54'] Exploring Operation: 54/27=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 54/27=2 Current State: 41:[43, 2], Operations: ['19+35=54', '54/27=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 51, 81, 34 ]
22
[ "81*34=2754", "2754/51=54", "54-32=22" ]
Current State: 22:[32, 51, 81, 34], Operations: [] Exploring Operation: 81*34=2754, Resulting Numbers: [32, 51, 2754] Generated Node #2: [32, 51, 2754] from Operation: 81*34=2754 Current State: 22:[32, 51, 2754], Operations: ['81*34=2754'] Exploring Operation: 2754/51=54, Resulting Numbers: [32, 54] Generated Node #3: [32, 54] from Operation: 2754/51=54 Current State: 22:[32, 54], Operations: ['81*34=2754', '2754/51=54'] Exploring Operation: 54-32=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 5, 1, 85 ]
54
[ "94-85=9", "5+1=6", "9*6=54" ]
Current State: 54:[94, 5, 1, 85], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [5, 1, 9] Generated Node #2: [5, 1, 9] from Operation: 94-85=9 Current State: 54:[5, 1, 9], Operations: ['94-85=9'] Exploring Operation: 5+1=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 5+1=6 Current State: 54:[9, 6], Operations: ['94-85=9', '5+1=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 83, 70, 91 ]
63
[ "15+83=98", "70+91=161", "161-98=63" ]
Current State: 63:[15, 83, 70, 91], Operations: [] Exploring Operation: 15+83=98, Resulting Numbers: [70, 91, 98] Generated Node #2: [70, 91, 98] from Operation: 15+83=98 Current State: 63:[70, 91, 98], Operations: ['15+83=98'] Exploring Operation: 70+91=161, Resulting Numbers: [98, 161] Generated Node #3: [98, 161] from Operation: 70+91=161 Current State: 63:[98, 161], Operations: ['15+83=98', '70+91=161'] Exploring Operation: 161-98=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 52, 63, 49 ]
56
[ "52/13=4", "63-49=14", "4*14=56" ]
Current State: 56:[13, 52, 63, 49], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [63, 49, 4] Generated Node #2: [63, 49, 4] from Operation: 52/13=4 Current State: 56:[63, 49, 4], Operations: ['52/13=4'] Exploring Operation: 63-49=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 63-49=14 Current State: 56:[4, 14], Operations: ['52/13=4', '63-49=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 37, 62, 26 ]
33
[ "18+37=55", "62+26=88", "88-55=33" ]
Current State: 33:[18, 37, 62, 26], Operations: [] Exploring Operation: 18+37=55, Resulting Numbers: [62, 26, 55] Generated Node #2: [62, 26, 55] from Operation: 18+37=55 Current State: 33:[62, 26, 55], Operations: ['18+37=55'] Exploring Operation: 62+26=88, Resulting Numbers: [55, 88] Generated Node #3: [55, 88] from Operation: 62+26=88 Current State: 33:[55, 88], Operations: ['18+37=55', '62+26=88'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 5, 56, 28 ]
70
[ "28*5=140", "56/28=2", "140/2=70" ]
Current State: 70:[28, 5, 56, 28], Operations: [] Exploring Operation: 28*5=140, Resulting Numbers: [56, 140] Generated Node #2: [56, 140] from Operation: 28*5=140 Current State: 70:[56, 140], Operations: ['28*5=140'] Exploring Operation: 56/28=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 56/28=2 Current State: 70:[140, 2], Operations: ['28*5=140', '56/28=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 32, 6, 36 ]
78
[ "36-32=4", "21*4=84", "84-6=78" ]
Current State: 78:[21, 32, 6, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [21, 6, 4] Generated Node #2: [21, 6, 4] from Operation: 36-32=4 Current State: 78:[21, 6, 4], Operations: ['36-32=4'] Exploring Operation: 21*4=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 21*4=84 Current State: 78:[6, 84], Operations: ['36-32=4', '21*4=84'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 15, 72, 59 ]
92
[ "24+15=39", "72+59=131", "131-39=92" ]
Current State: 92:[24, 15, 72, 59], Operations: [] Exploring Operation: 24+15=39, Resulting Numbers: [72, 59, 39] Generated Node #2: [72, 59, 39] from Operation: 24+15=39 Current State: 92:[72, 59, 39], Operations: ['24+15=39'] Exploring Operation: 72+59=131, Resulting Numbers: [39, 131] Generated Node #3: [39, 131] from Operation: 72+59=131 Current State: 92:[39, 131], Operations: ['24+15=39', '72+59=131'] Exploring Operation: 131-39=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 71, 46, 73 ]
47
[ "46*73=3358", "3358-21=3337", "3337/71=47" ]
Current State: 47:[21, 71, 46, 73], Operations: [] Exploring Operation: 46*73=3358, Resulting Numbers: [21, 71, 3358] Generated Node #2: [21, 71, 3358] from Operation: 46*73=3358 Current State: 47:[21, 71, 3358], Operations: ['46*73=3358'] Exploring Operation: 3358-21=3337, Resulting Numbers: [71, 3337] Generated Node #3: [71, 3337] from Operation: 3358-21=3337 Current State: 47:[71, 3337], Operations: ['46*73=3358', '3358-21=3337'] Exploring Operation: 3337/71=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 83, 70, 4, 76 ]
81
[ "83+70=153", "76-4=72", "153-72=81" ]
Current State: 81:[83, 70, 4, 76], Operations: [] Exploring Operation: 83+70=153, Resulting Numbers: [4, 76, 153] Generated Node #2: [4, 76, 153] from Operation: 83+70=153 Current State: 81:[4, 76, 153], Operations: ['83+70=153'] Exploring Operation: 76-4=72, Resulting Numbers: [153, 72] Generated Node #3: [153, 72] from Operation: 76-4=72 Current State: 81:[153, 72], Operations: ['83+70=153', '76-4=72'] Exploring Operation: 153-72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 39, 5, 37, 86 ]
60
[ "39+86=125", "5*37=185", "185-125=60" ]
Current State: 60:[39, 5, 37, 86], Operations: [] Exploring Operation: 39+86=125, Resulting Numbers: [5, 37, 125] Generated Node #2: [5, 37, 125] from Operation: 39+86=125 Current State: 60:[5, 37, 125], Operations: ['39+86=125'] Exploring Operation: 5*37=185, Resulting Numbers: [125, 185] Generated Node #3: [125, 185] from Operation: 5*37=185 Current State: 60:[125, 185], Operations: ['39+86=125', '5*37=185'] Exploring Operation: 185-125=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 54, 18, 78, 27 ]
50
[ "18*78=1404", "1404-54=1350", "1350/27=50" ]
Current State: 50:[54, 18, 78, 27], Operations: [] Exploring Operation: 18*78=1404, Resulting Numbers: [54, 27, 1404] Generated Node #2: [54, 27, 1404] from Operation: 18*78=1404 Current State: 50:[54, 27, 1404], Operations: ['18*78=1404'] Exploring Operation: 1404-54=1350, Resulting Numbers: [27, 1350] Generated Node #3: [27, 1350] from Operation: 1404-54=1350 Current State: 50:[27, 1350], Operations: ['18*78=1404', '1404-54=1350'] Exploring Operation: 1350/27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 42, 27, 68, 77 ]
39
[ "77-68=9", "27/9=3", "42-3=39" ]
Current State: 39:[42, 27, 68, 77], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [42, 27, 9] Generated Node #2: [42, 27, 9] from Operation: 77-68=9 Current State: 39:[42, 27, 9], Operations: ['77-68=9'] Exploring Operation: 27/9=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 27/9=3 Current State: 39:[42, 3], Operations: ['77-68=9', '27/9=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 32, 68, 1, 23 ]
51
[ "1+23=24", "68*24=1632", "1632/32=51" ]
Current State: 51:[32, 68, 1, 23], Operations: [] Exploring Operation: 1+23=24, Resulting Numbers: [32, 68, 24] Generated Node #2: [32, 68, 24] from Operation: 1+23=24 Current State: 51:[32, 68, 24], Operations: ['1+23=24'] Exploring Operation: 68*24=1632, Resulting Numbers: [32, 1632] Generated Node #3: [32, 1632] from Operation: 68*24=1632 Current State: 51:[32, 1632], Operations: ['1+23=24', '68*24=1632'] Exploring Operation: 1632/32=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4