Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 53, 82, 18, 65 ]
54
[ "82-53=29", "18+65=83", "83-29=54" ]
Current State: 54:[53, 82, 18, 65], Operations: [] Exploring Operation: 82-53=29, Resulting Numbers: [18, 65, 29] Generated Node #2: [18, 65, 29] from Operation: 82-53=29 Current State: 54:[18, 65, 29], Operations: ['82-53=29'] Exploring Operation: 18+65=83, Resulting Numbers: [29, 83] Generated Node #3: [29, 83] from Operation: 18+65=83 Current State: 54:[29, 83], Operations: ['82-53=29', '18+65=83'] Exploring Operation: 83-29=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 85, 26, 37, 88 ]
93
[ "37-26=11", "88/11=8", "85+8=93" ]
Current State: 93:[85, 26, 37, 88], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [85, 88, 11] Generated Node #2: [85, 88, 11] from Operation: 37-26=11 Current State: 93:[85, 88, 11], Operations: ['37-26=11'] Exploring Operation: 88/11=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 88/11=8 Current State: 93:[85, 8], Operations: ['37-26=11', '88/11=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 24, 22, 99 ]
26
[ "99-88=11", "22/11=2", "24+2=26" ]
Current State: 26:[88, 24, 22, 99], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [24, 22, 11] Generated Node #2: [24, 22, 11] from Operation: 99-88=11 Current State: 26:[24, 22, 11], Operations: ['99-88=11'] Exploring Operation: 22/11=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 22/11=2 Current State: 26:[24, 2], Operations: ['99-88=11', '22/11=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 64, 5, 34, 2 ]
44
[ "64+34=98", "98/2=49", "49-5=44" ]
Current State: 44:[64, 5, 34, 2], Operations: [] Exploring Operation: 64+34=98, Resulting Numbers: [5, 2, 98] Generated Node #2: [5, 2, 98] from Operation: 64+34=98 Current State: 44:[5, 2, 98], Operations: ['64+34=98'] Exploring Operation: 98/2=49, Resulting Numbers: [5, 49] Generated Node #3: [5, 49] from Operation: 98/2=49 Current State: 44:[5, 49], Operations: ['64+34=98', '98/2=49'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 9, 6, 13, 46 ]
56
[ "9-6=3", "13+46=59", "59-3=56" ]
Current State: 56:[9, 6, 13, 46], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [13, 46, 3] Generated Node #2: [13, 46, 3] from Operation: 9-6=3 Current State: 56:[13, 46, 3], Operations: ['9-6=3'] Exploring Operation: 13+46=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 13+46=59 Current State: 56:[3, 59], Operations: ['9-6=3', '13+46=59'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 45, 36, 84, 59 ]
42
[ "59-45=14", "84/14=6", "36+6=42" ]
Current State: 42:[45, 36, 84, 59], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [36, 84, 14] Generated Node #2: [36, 84, 14] from Operation: 59-45=14 Current State: 42:[36, 84, 14], Operations: ['59-45=14'] Exploring Operation: 84/14=6, Resulting Numbers: [36, 6] Generated Node #3: [36, 6] from Operation: 84/14=6 Current State: 42:[36, 6], Operations: ['59-45=14', '84/14=6'] Exploring Operation: 36+6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 41, 35, 85 ]
82
[ "41-9=32", "85-35=50", "32+50=82" ]
Current State: 82:[9, 41, 35, 85], Operations: [] Exploring Operation: 41-9=32, Resulting Numbers: [35, 85, 32] Generated Node #2: [35, 85, 32] from Operation: 41-9=32 Current State: 82:[35, 85, 32], Operations: ['41-9=32'] Exploring Operation: 85-35=50, Resulting Numbers: [32, 50] Generated Node #3: [32, 50] from Operation: 85-35=50 Current State: 82:[32, 50], Operations: ['41-9=32', '85-35=50'] Exploring Operation: 32+50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 56, 19, 60 ]
31
[ "60-56=4", "3*4=12", "19+12=31" ]
Current State: 31:[3, 56, 19, 60], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [3, 19, 4] Generated Node #2: [3, 19, 4] from Operation: 60-56=4 Current State: 31:[3, 19, 4], Operations: ['60-56=4'] Exploring Operation: 3*4=12, Resulting Numbers: [19, 12] Generated Node #3: [19, 12] from Operation: 3*4=12 Current State: 31:[19, 12], Operations: ['60-56=4', '3*4=12'] Exploring Operation: 19+12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 87, 4, 64, 52 ]
57
[ "87+64=151", "4*52=208", "208-151=57" ]
Current State: 57:[87, 4, 64, 52], Operations: [] Exploring Operation: 87+64=151, Resulting Numbers: [4, 52, 151] Generated Node #2: [4, 52, 151] from Operation: 87+64=151 Current State: 57:[4, 52, 151], Operations: ['87+64=151'] Exploring Operation: 4*52=208, Resulting Numbers: [151, 208] Generated Node #3: [151, 208] from Operation: 4*52=208 Current State: 57:[151, 208], Operations: ['87+64=151', '4*52=208'] Exploring Operation: 208-151=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 31, 1, 62, 86 ]
55
[ "31*1=31", "86-62=24", "31+24=55" ]
Current State: 55:[31, 1, 62, 86], Operations: [] Exploring Operation: 31*1=31, Resulting Numbers: [62, 86, 31] Generated Node #2: [62, 86, 31] from Operation: 31*1=31 Current State: 55:[62, 86, 31], Operations: ['31*1=31'] Exploring Operation: 86-62=24, Resulting Numbers: [31, 24] Generated Node #3: [31, 24] from Operation: 86-62=24 Current State: 55:[31, 24], Operations: ['31*1=31', '86-62=24'] Exploring Operation: 31+24=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 47, 15, 3, 91 ]
61
[ "47+91=138", "138/3=46", "15+46=61" ]
Current State: 61:[47, 15, 3, 91], Operations: [] Exploring Operation: 47+91=138, Resulting Numbers: [15, 3, 138] Generated Node #2: [15, 3, 138] from Operation: 47+91=138 Current State: 61:[15, 3, 138], Operations: ['47+91=138'] Exploring Operation: 138/3=46, Resulting Numbers: [15, 46] Generated Node #3: [15, 46] from Operation: 138/3=46 Current State: 61:[15, 46], Operations: ['47+91=138', '138/3=46'] Exploring Operation: 15+46=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 15, 33, 20 ]
29
[ "20-15=5", "20/5=4", "33-4=29" ]
Current State: 29:[20, 15, 33, 20], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [33, 5] Generated Node #2: [33, 5] from Operation: 20-15=5 Current State: 29:[33, 5], Operations: ['20-15=5'] Exploring Operation: 20/5=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 20/5=4 Current State: 29:[33, 4], Operations: ['20-15=5', '20/5=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 32, 22, 2 ]
98
[ "70-32=38", "2*38=76", "22+76=98" ]
Current State: 98:[70, 32, 22, 2], Operations: [] Exploring Operation: 70-32=38, Resulting Numbers: [22, 2, 38] Generated Node #2: [22, 2, 38] from Operation: 70-32=38 Current State: 98:[22, 2, 38], Operations: ['70-32=38'] Exploring Operation: 2*38=76, Resulting Numbers: [22, 76] Generated Node #3: [22, 76] from Operation: 2*38=76 Current State: 98:[22, 76], Operations: ['70-32=38', '2*38=76'] Exploring Operation: 22+76=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 10, 83, 68 ]
44
[ "10+68=78", "78/2=39", "83-39=44" ]
Current State: 44:[2, 10, 83, 68], Operations: [] Exploring Operation: 10+68=78, Resulting Numbers: [2, 83, 78] Generated Node #2: [2, 83, 78] from Operation: 10+68=78 Current State: 44:[2, 83, 78], Operations: ['10+68=78'] Exploring Operation: 78/2=39, Resulting Numbers: [83, 39] Generated Node #3: [83, 39] from Operation: 78/2=39 Current State: 44:[83, 39], Operations: ['10+68=78', '78/2=39'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 49, 84, 9 ]
78
[ "84-49=35", "35-9=26", "3*26=78" ]
Current State: 78:[3, 49, 84, 9], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [3, 9, 35] Generated Node #2: [3, 9, 35] from Operation: 84-49=35 Current State: 78:[3, 9, 35], Operations: ['84-49=35'] Exploring Operation: 35-9=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 35-9=26 Current State: 78:[3, 26], Operations: ['84-49=35', '35-9=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 15, 39, 2 ]
46
[ "55-39=16", "15*2=30", "16+30=46" ]
Current State: 46:[55, 15, 39, 2], Operations: [] Exploring Operation: 55-39=16, Resulting Numbers: [15, 2, 16] Generated Node #2: [15, 2, 16] from Operation: 55-39=16 Current State: 46:[15, 2, 16], Operations: ['55-39=16'] Exploring Operation: 15*2=30, Resulting Numbers: [16, 30] Generated Node #3: [16, 30] from Operation: 15*2=30 Current State: 46:[16, 30], Operations: ['55-39=16', '15*2=30'] Exploring Operation: 16+30=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 64, 16, 68, 99 ]
95
[ "68-64=4", "16/4=4", "99-4=95" ]
Current State: 95:[64, 16, 68, 99], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [16, 99, 4] Generated Node #2: [16, 99, 4] from Operation: 68-64=4 Current State: 95:[16, 99, 4], Operations: ['68-64=4'] Exploring Operation: 16/4=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 16/4=4 Current State: 95:[99, 4], Operations: ['68-64=4', '16/4=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 73, 26, 69 ]
82
[ "73-34=39", "69-26=43", "39+43=82" ]
Current State: 82:[34, 73, 26, 69], Operations: [] Exploring Operation: 73-34=39, Resulting Numbers: [26, 69, 39] Generated Node #2: [26, 69, 39] from Operation: 73-34=39 Current State: 82:[26, 69, 39], Operations: ['73-34=39'] Exploring Operation: 69-26=43, Resulting Numbers: [39, 43] Generated Node #3: [39, 43] from Operation: 69-26=43 Current State: 82:[39, 43], Operations: ['73-34=39', '69-26=43'] Exploring Operation: 39+43=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 72, 9, 36 ]
51
[ "63+72=135", "135/9=15", "36+15=51" ]
Current State: 51:[63, 72, 9, 36], Operations: [] Exploring Operation: 63+72=135, Resulting Numbers: [9, 36, 135] Generated Node #2: [9, 36, 135] from Operation: 63+72=135 Current State: 51:[9, 36, 135], Operations: ['63+72=135'] Exploring Operation: 135/9=15, Resulting Numbers: [36, 15] Generated Node #3: [36, 15] from Operation: 135/9=15 Current State: 51:[36, 15], Operations: ['63+72=135', '135/9=15'] Exploring Operation: 36+15=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 98, 35, 2, 24 ]
41
[ "98-35=63", "24-2=22", "63-22=41" ]
Current State: 41:[98, 35, 2, 24], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [2, 24, 63] Generated Node #2: [2, 24, 63] from Operation: 98-35=63 Current State: 41:[2, 24, 63], Operations: ['98-35=63'] Exploring Operation: 24-2=22, Resulting Numbers: [63, 22] Generated Node #3: [63, 22] from Operation: 24-2=22 Current State: 41:[63, 22], Operations: ['98-35=63', '24-2=22'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 32, 16, 1 ]
15
[ "16-14=2", "32/2=16", "16-1=15" ]
Current State: 15:[14, 32, 16, 1], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [32, 1, 2] Generated Node #2: [32, 1, 2] from Operation: 16-14=2 Current State: 15:[32, 1, 2], Operations: ['16-14=2'] Exploring Operation: 32/2=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 32/2=16 Current State: 15:[1, 16], Operations: ['16-14=2', '32/2=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 70, 91, 45, 8 ]
32
[ "91-70=21", "45+8=53", "53-21=32" ]
Current State: 32:[70, 91, 45, 8], Operations: [] Exploring Operation: 91-70=21, Resulting Numbers: [45, 8, 21] Generated Node #2: [45, 8, 21] from Operation: 91-70=21 Current State: 32:[45, 8, 21], Operations: ['91-70=21'] Exploring Operation: 45+8=53, Resulting Numbers: [21, 53] Generated Node #3: [21, 53] from Operation: 45+8=53 Current State: 32:[21, 53], Operations: ['91-70=21', '45+8=53'] Exploring Operation: 53-21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 47, 86, 35, 34 ]
40
[ "86-47=39", "35-34=1", "39+1=40" ]
Current State: 40:[47, 86, 35, 34], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [35, 34, 39] Generated Node #2: [35, 34, 39] from Operation: 86-47=39 Current State: 40:[35, 34, 39], Operations: ['86-47=39'] Exploring Operation: 35-34=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 35-34=1 Current State: 40:[39, 1], Operations: ['86-47=39', '35-34=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 41, 66, 91, 20 ]
22
[ "41+91=132", "132/66=2", "20+2=22" ]
Current State: 22:[41, 66, 91, 20], Operations: [] Exploring Operation: 41+91=132, Resulting Numbers: [66, 20, 132] Generated Node #2: [66, 20, 132] from Operation: 41+91=132 Current State: 22:[66, 20, 132], Operations: ['41+91=132'] Exploring Operation: 132/66=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 132/66=2 Current State: 22:[20, 2], Operations: ['41+91=132', '132/66=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 85, 33, 34, 6 ]
17
[ "34-33=1", "6-1=5", "85/5=17" ]
Current State: 17:[85, 33, 34, 6], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [85, 6, 1] Generated Node #2: [85, 6, 1] from Operation: 34-33=1 Current State: 17:[85, 6, 1], Operations: ['34-33=1'] Exploring Operation: 6-1=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 6-1=5 Current State: 17:[85, 5], Operations: ['34-33=1', '6-1=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 94, 35, 45, 86 ]
39
[ "94+86=180", "180/45=4", "35+4=39" ]
Current State: 39:[94, 35, 45, 86], Operations: [] Exploring Operation: 94+86=180, Resulting Numbers: [35, 45, 180] Generated Node #2: [35, 45, 180] from Operation: 94+86=180 Current State: 39:[35, 45, 180], Operations: ['94+86=180'] Exploring Operation: 180/45=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 180/45=4 Current State: 39:[35, 4], Operations: ['94+86=180', '180/45=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 35, 29, 21, 67 ]
59
[ "35-29=6", "21*6=126", "126-67=59" ]
Current State: 59:[35, 29, 21, 67], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [21, 67, 6] Generated Node #2: [21, 67, 6] from Operation: 35-29=6 Current State: 59:[21, 67, 6], Operations: ['35-29=6'] Exploring Operation: 21*6=126, Resulting Numbers: [67, 126] Generated Node #3: [67, 126] from Operation: 21*6=126 Current State: 59:[67, 126], Operations: ['35-29=6', '21*6=126'] Exploring Operation: 126-67=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 31, 25, 18 ]
87
[ "31-25=6", "18/6=3", "90-3=87" ]
Current State: 87:[90, 31, 25, 18], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [90, 18, 6] Generated Node #2: [90, 18, 6] from Operation: 31-25=6 Current State: 87:[90, 18, 6], Operations: ['31-25=6'] Exploring Operation: 18/6=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 18/6=3 Current State: 87:[90, 3], Operations: ['31-25=6', '18/6=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 77, 18, 2, 20 ]
93
[ "77-20=57", "18*2=36", "57+36=93" ]
Current State: 93:[77, 18, 2, 20], Operations: [] Exploring Operation: 77-20=57, Resulting Numbers: [18, 2, 57] Generated Node #2: [18, 2, 57] from Operation: 77-20=57 Current State: 93:[18, 2, 57], Operations: ['77-20=57'] Exploring Operation: 18*2=36, Resulting Numbers: [57, 36] Generated Node #3: [57, 36] from Operation: 18*2=36 Current State: 93:[57, 36], Operations: ['77-20=57', '18*2=36'] Exploring Operation: 57+36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 23, 64, 4, 48 ]
92
[ "64-48=16", "23*16=368", "368/4=92" ]
Current State: 92:[23, 64, 4, 48], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [23, 4, 16] Generated Node #2: [23, 4, 16] from Operation: 64-48=16 Current State: 92:[23, 4, 16], Operations: ['64-48=16'] Exploring Operation: 23*16=368, Resulting Numbers: [4, 368] Generated Node #3: [4, 368] from Operation: 23*16=368 Current State: 92:[4, 368], Operations: ['64-48=16', '23*16=368'] Exploring Operation: 368/4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 32, 38, 89 ]
53
[ "42+32=74", "38+89=127", "127-74=53" ]
Current State: 53:[42, 32, 38, 89], Operations: [] Exploring Operation: 42+32=74, Resulting Numbers: [38, 89, 74] Generated Node #2: [38, 89, 74] from Operation: 42+32=74 Current State: 53:[38, 89, 74], Operations: ['42+32=74'] Exploring Operation: 38+89=127, Resulting Numbers: [74, 127] Generated Node #3: [74, 127] from Operation: 38+89=127 Current State: 53:[74, 127], Operations: ['42+32=74', '38+89=127'] Exploring Operation: 127-74=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 61, 95, 63 ]
99
[ "63-61=2", "8/2=4", "95+4=99" ]
Current State: 99:[8, 61, 95, 63], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [8, 95, 2] Generated Node #2: [8, 95, 2] from Operation: 63-61=2 Current State: 99:[8, 95, 2], Operations: ['63-61=2'] Exploring Operation: 8/2=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 8/2=4 Current State: 99:[95, 4], Operations: ['63-61=2', '8/2=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 38, 98, 88 ]
88
[ "98-98=0", "38*0=0", "88+0=88" ]
Current State: 88:[98, 38, 98, 88], Operations: [] Exploring Operation: 98-98=0, Resulting Numbers: [38, 88, 0] Generated Node #2: [38, 88, 0] from Operation: 98-98=0 Current State: 88:[38, 88, 0], Operations: ['98-98=0'] Exploring Operation: 38*0=0, Resulting Numbers: [88, 0] Generated Node #3: [88, 0] from Operation: 38*0=0 Current State: 88:[88, 0], Operations: ['98-98=0', '38*0=0'] Exploring Operation: 88+0=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 45, 73, 67, 69 ]
19
[ "45+69=114", "73-67=6", "114/6=19" ]
Current State: 19:[45, 73, 67, 69], Operations: [] Exploring Operation: 45+69=114, Resulting Numbers: [73, 67, 114] Generated Node #2: [73, 67, 114] from Operation: 45+69=114 Current State: 19:[73, 67, 114], Operations: ['45+69=114'] Exploring Operation: 73-67=6, Resulting Numbers: [114, 6] Generated Node #3: [114, 6] from Operation: 73-67=6 Current State: 19:[114, 6], Operations: ['45+69=114', '73-67=6'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 72, 8, 86, 2 ]
75
[ "72-8=64", "86+64=150", "150/2=75" ]
Current State: 75:[72, 8, 86, 2], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [86, 2, 64] Generated Node #2: [86, 2, 64] from Operation: 72-8=64 Current State: 75:[86, 2, 64], Operations: ['72-8=64'] Exploring Operation: 86+64=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 86+64=150 Current State: 75:[2, 150], Operations: ['72-8=64', '86+64=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 65, 53, 99 ]
86
[ "65-25=40", "99-53=46", "40+46=86" ]
Current State: 86:[25, 65, 53, 99], Operations: [] Exploring Operation: 65-25=40, Resulting Numbers: [53, 99, 40] Generated Node #2: [53, 99, 40] from Operation: 65-25=40 Current State: 86:[53, 99, 40], Operations: ['65-25=40'] Exploring Operation: 99-53=46, Resulting Numbers: [40, 46] Generated Node #3: [40, 46] from Operation: 99-53=46 Current State: 86:[40, 46], Operations: ['65-25=40', '99-53=46'] Exploring Operation: 40+46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 11, 14, 4 ]
84
[ "7*4=28", "14-11=3", "28*3=84" ]
Current State: 84:[7, 11, 14, 4], Operations: [] Exploring Operation: 7*4=28, Resulting Numbers: [11, 14, 28] Generated Node #2: [11, 14, 28] from Operation: 7*4=28 Current State: 84:[11, 14, 28], Operations: ['7*4=28'] Exploring Operation: 14-11=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 14-11=3 Current State: 84:[28, 3], Operations: ['7*4=28', '14-11=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 93, 79, 26, 1 ]
96
[ "79-1=78", "78/26=3", "93+3=96" ]
Current State: 96:[93, 79, 26, 1], Operations: [] Exploring Operation: 79-1=78, Resulting Numbers: [93, 26, 78] Generated Node #2: [93, 26, 78] from Operation: 79-1=78 Current State: 96:[93, 26, 78], Operations: ['79-1=78'] Exploring Operation: 78/26=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 78/26=3 Current State: 96:[93, 3], Operations: ['79-1=78', '78/26=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 83, 73, 76 ]
50
[ "83-30=53", "76-73=3", "53-3=50" ]
Current State: 50:[30, 83, 73, 76], Operations: [] Exploring Operation: 83-30=53, Resulting Numbers: [73, 76, 53] Generated Node #2: [73, 76, 53] from Operation: 83-30=53 Current State: 50:[73, 76, 53], Operations: ['83-30=53'] Exploring Operation: 76-73=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 76-73=3 Current State: 50:[53, 3], Operations: ['83-30=53', '76-73=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 51, 20, 74, 90 ]
93
[ "51+20=71", "74+90=164", "164-71=93" ]
Current State: 93:[51, 20, 74, 90], Operations: [] Exploring Operation: 51+20=71, Resulting Numbers: [74, 90, 71] Generated Node #2: [74, 90, 71] from Operation: 51+20=71 Current State: 93:[74, 90, 71], Operations: ['51+20=71'] Exploring Operation: 74+90=164, Resulting Numbers: [71, 164] Generated Node #3: [71, 164] from Operation: 74+90=164 Current State: 93:[71, 164], Operations: ['51+20=71', '74+90=164'] Exploring Operation: 164-71=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 23, 51, 39, 26 ]
37
[ "51-23=28", "39+26=65", "65-28=37" ]
Current State: 37:[23, 51, 39, 26], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [39, 26, 28] Generated Node #2: [39, 26, 28] from Operation: 51-23=28 Current State: 37:[39, 26, 28], Operations: ['51-23=28'] Exploring Operation: 39+26=65, Resulting Numbers: [28, 65] Generated Node #3: [28, 65] from Operation: 39+26=65 Current State: 37:[28, 65], Operations: ['51-23=28', '39+26=65'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 56, 44, 88, 11 ]
28
[ "88-56=32", "44/11=4", "32-4=28" ]
Current State: 28:[56, 44, 88, 11], Operations: [] Exploring Operation: 88-56=32, Resulting Numbers: [44, 11, 32] Generated Node #2: [44, 11, 32] from Operation: 88-56=32 Current State: 28:[44, 11, 32], Operations: ['88-56=32'] Exploring Operation: 44/11=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 44/11=4 Current State: 28:[32, 4], Operations: ['88-56=32', '44/11=4'] Exploring Operation: 32-4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 35, 66, 88 ]
74
[ "52*66=3432", "3432/88=39", "35+39=74" ]
Current State: 74:[52, 35, 66, 88], Operations: [] Exploring Operation: 52*66=3432, Resulting Numbers: [35, 88, 3432] Generated Node #2: [35, 88, 3432] from Operation: 52*66=3432 Current State: 74:[35, 88, 3432], Operations: ['52*66=3432'] Exploring Operation: 3432/88=39, Resulting Numbers: [35, 39] Generated Node #3: [35, 39] from Operation: 3432/88=39 Current State: 74:[35, 39], Operations: ['52*66=3432', '3432/88=39'] Exploring Operation: 35+39=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 65, 58, 8, 19 ]
61
[ "65-8=57", "57/19=3", "58+3=61" ]
Current State: 61:[65, 58, 8, 19], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [58, 19, 57] Generated Node #2: [58, 19, 57] from Operation: 65-8=57 Current State: 61:[58, 19, 57], Operations: ['65-8=57'] Exploring Operation: 57/19=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 57/19=3 Current State: 61:[58, 3], Operations: ['65-8=57', '57/19=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 38, 62, 54 ]
73
[ "54/2=27", "38+62=100", "100-27=73" ]
Current State: 73:[2, 38, 62, 54], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [38, 62, 27] Generated Node #2: [38, 62, 27] from Operation: 54/2=27 Current State: 73:[38, 62, 27], Operations: ['54/2=27'] Exploring Operation: 38+62=100, Resulting Numbers: [27, 100] Generated Node #3: [27, 100] from Operation: 38+62=100 Current State: 73:[27, 100], Operations: ['54/2=27', '38+62=100'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 80, 86, 20, 78 ]
80
[ "86-78=8", "20*8=160", "160-80=80" ]
Current State: 80:[80, 86, 20, 78], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [80, 20, 8] Generated Node #2: [80, 20, 8] from Operation: 86-78=8 Current State: 80:[80, 20, 8], Operations: ['86-78=8'] Exploring Operation: 20*8=160, Resulting Numbers: [80, 160] Generated Node #3: [80, 160] from Operation: 20*8=160 Current State: 80:[80, 160], Operations: ['86-78=8', '20*8=160'] Exploring Operation: 160-80=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 84, 5, 88 ]
21
[ "5*5=25", "88-84=4", "25-4=21" ]
Current State: 21:[5, 84, 5, 88], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [84, 88, 25] Generated Node #2: [84, 88, 25] from Operation: 5*5=25 Current State: 21:[84, 88, 25], Operations: ['5*5=25'] Exploring Operation: 88-84=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 88-84=4 Current State: 21:[25, 4], Operations: ['5*5=25', '88-84=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 97, 78, 90 ]
84
[ "97-25=72", "90-78=12", "72+12=84" ]
Current State: 84:[25, 97, 78, 90], Operations: [] Exploring Operation: 97-25=72, Resulting Numbers: [78, 90, 72] Generated Node #2: [78, 90, 72] from Operation: 97-25=72 Current State: 84:[78, 90, 72], Operations: ['97-25=72'] Exploring Operation: 90-78=12, Resulting Numbers: [72, 12] Generated Node #3: [72, 12] from Operation: 90-78=12 Current State: 84:[72, 12], Operations: ['97-25=72', '90-78=12'] Exploring Operation: 72+12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 12, 20, 18 ]
11
[ "20-18=2", "12*2=24", "35-24=11" ]
Current State: 11:[35, 12, 20, 18], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [35, 12, 2] Generated Node #2: [35, 12, 2] from Operation: 20-18=2 Current State: 11:[35, 12, 2], Operations: ['20-18=2'] Exploring Operation: 12*2=24, Resulting Numbers: [35, 24] Generated Node #3: [35, 24] from Operation: 12*2=24 Current State: 11:[35, 24], Operations: ['20-18=2', '12*2=24'] Exploring Operation: 35-24=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 56, 21, 61, 2 ]
63
[ "61-56=5", "5-2=3", "21*3=63" ]
Current State: 63:[56, 21, 61, 2], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [21, 2, 5] Generated Node #2: [21, 2, 5] from Operation: 61-56=5 Current State: 63:[21, 2, 5], Operations: ['61-56=5'] Exploring Operation: 5-2=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 5-2=3 Current State: 63:[21, 3], Operations: ['61-56=5', '5-2=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 69, 55, 58 ]
11
[ "56-55=1", "69-58=11", "1*11=11" ]
Current State: 11:[56, 69, 55, 58], Operations: [] Exploring Operation: 56-55=1, Resulting Numbers: [69, 58, 1] Generated Node #2: [69, 58, 1] from Operation: 56-55=1 Current State: 11:[69, 58, 1], Operations: ['56-55=1'] Exploring Operation: 69-58=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 69-58=11 Current State: 11:[1, 11], Operations: ['56-55=1', '69-58=11'] Exploring Operation: 1*11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 13, 32, 59 ]
35
[ "32+59=91", "91/13=7", "28+7=35" ]
Current State: 35:[28, 13, 32, 59], Operations: [] Exploring Operation: 32+59=91, Resulting Numbers: [28, 13, 91] Generated Node #2: [28, 13, 91] from Operation: 32+59=91 Current State: 35:[28, 13, 91], Operations: ['32+59=91'] Exploring Operation: 91/13=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 91/13=7 Current State: 35:[28, 7], Operations: ['32+59=91', '91/13=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 45, 59, 80, 70 ]
75
[ "59-45=14", "70/14=5", "80-5=75" ]
Current State: 75:[45, 59, 80, 70], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [80, 70, 14] Generated Node #2: [80, 70, 14] from Operation: 59-45=14 Current State: 75:[80, 70, 14], Operations: ['59-45=14'] Exploring Operation: 70/14=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 70/14=5 Current State: 75:[80, 5], Operations: ['59-45=14', '70/14=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 10, 3, 29 ]
39
[ "29-3=26", "15*26=390", "390/10=39" ]
Current State: 39:[15, 10, 3, 29], Operations: [] Exploring Operation: 29-3=26, Resulting Numbers: [15, 10, 26] Generated Node #2: [15, 10, 26] from Operation: 29-3=26 Current State: 39:[15, 10, 26], Operations: ['29-3=26'] Exploring Operation: 15*26=390, Resulting Numbers: [10, 390] Generated Node #3: [10, 390] from Operation: 15*26=390 Current State: 39:[10, 390], Operations: ['29-3=26', '15*26=390'] Exploring Operation: 390/10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 38, 25, 43, 16 ]
21
[ "43-38=5", "25/5=5", "16+5=21" ]
Current State: 21:[38, 25, 43, 16], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [25, 16, 5] Generated Node #2: [25, 16, 5] from Operation: 43-38=5 Current State: 21:[25, 16, 5], Operations: ['43-38=5'] Exploring Operation: 25/5=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 25/5=5 Current State: 21:[16, 5], Operations: ['43-38=5', '25/5=5'] Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 3, 82, 11 ]
85
[ "66/11=6", "82-3=79", "6+79=85" ]
Current State: 85:[66, 3, 82, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [3, 82, 6] Generated Node #2: [3, 82, 6] from Operation: 66/11=6 Current State: 85:[3, 82, 6], Operations: ['66/11=6'] Exploring Operation: 82-3=79, Resulting Numbers: [6, 79] Generated Node #3: [6, 79] from Operation: 82-3=79 Current State: 85:[6, 79], Operations: ['66/11=6', '82-3=79'] Exploring Operation: 6+79=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 90, 6, 81 ]
93
[ "90/5=18", "81-6=75", "18+75=93" ]
Current State: 93:[5, 90, 6, 81], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [6, 81, 18] Generated Node #2: [6, 81, 18] from Operation: 90/5=18 Current State: 93:[6, 81, 18], Operations: ['90/5=18'] Exploring Operation: 81-6=75, Resulting Numbers: [18, 75] Generated Node #3: [18, 75] from Operation: 81-6=75 Current State: 93:[18, 75], Operations: ['90/5=18', '81-6=75'] Exploring Operation: 18+75=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 56, 8, 28, 6 ]
15
[ "56/8=7", "28-6=22", "22-7=15" ]
Current State: 15:[56, 8, 28, 6], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [28, 6, 7] Generated Node #2: [28, 6, 7] from Operation: 56/8=7 Current State: 15:[28, 6, 7], Operations: ['56/8=7'] Exploring Operation: 28-6=22, Resulting Numbers: [7, 22] Generated Node #3: [7, 22] from Operation: 28-6=22 Current State: 15:[7, 22], Operations: ['56/8=7', '28-6=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 66, 87, 2, 26 ]
31
[ "87-66=21", "2*26=52", "52-21=31" ]
Current State: 31:[66, 87, 2, 26], Operations: [] Exploring Operation: 87-66=21, Resulting Numbers: [2, 26, 21] Generated Node #2: [2, 26, 21] from Operation: 87-66=21 Current State: 31:[2, 26, 21], Operations: ['87-66=21'] Exploring Operation: 2*26=52, Resulting Numbers: [21, 52] Generated Node #3: [21, 52] from Operation: 2*26=52 Current State: 31:[21, 52], Operations: ['87-66=21', '2*26=52'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 87, 68, 6, 77 ]
58
[ "87*6=522", "77-68=9", "522/9=58" ]
Current State: 58:[87, 68, 6, 77], Operations: [] Exploring Operation: 87*6=522, Resulting Numbers: [68, 77, 522] Generated Node #2: [68, 77, 522] from Operation: 87*6=522 Current State: 58:[68, 77, 522], Operations: ['87*6=522'] Exploring Operation: 77-68=9, Resulting Numbers: [522, 9] Generated Node #3: [522, 9] from Operation: 77-68=9 Current State: 58:[522, 9], Operations: ['87*6=522', '77-68=9'] Exploring Operation: 522/9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 25, 93, 28 ]
91
[ "22+28=50", "50/25=2", "93-2=91" ]
Current State: 91:[22, 25, 93, 28], Operations: [] Exploring Operation: 22+28=50, Resulting Numbers: [25, 93, 50] Generated Node #2: [25, 93, 50] from Operation: 22+28=50 Current State: 91:[25, 93, 50], Operations: ['22+28=50'] Exploring Operation: 50/25=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 50/25=2 Current State: 91:[93, 2], Operations: ['22+28=50', '50/25=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 18, 6, 29 ]
94
[ "18/6=3", "29*3=87", "7+87=94" ]
Current State: 94:[7, 18, 6, 29], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [7, 29, 3] Generated Node #2: [7, 29, 3] from Operation: 18/6=3 Current State: 94:[7, 29, 3], Operations: ['18/6=3'] Exploring Operation: 29*3=87, Resulting Numbers: [7, 87] Generated Node #3: [7, 87] from Operation: 29*3=87 Current State: 94:[7, 87], Operations: ['18/6=3', '29*3=87'] Exploring Operation: 7+87=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 89, 25, 78, 95 ]
72
[ "95-89=6", "25*6=150", "150-78=72" ]
Current State: 72:[89, 25, 78, 95], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [25, 78, 6] Generated Node #2: [25, 78, 6] from Operation: 95-89=6 Current State: 72:[25, 78, 6], Operations: ['95-89=6'] Exploring Operation: 25*6=150, Resulting Numbers: [78, 150] Generated Node #3: [78, 150] from Operation: 25*6=150 Current State: 72:[78, 150], Operations: ['95-89=6', '25*6=150'] Exploring Operation: 150-78=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 64, 44, 3, 47 ]
63
[ "44+3=47", "47/47=1", "64-1=63" ]
Current State: 63:[64, 44, 3, 47], Operations: [] Exploring Operation: 44+3=47, Resulting Numbers: [64, 47, 47] Generated Node #2: [64, 47, 47] from Operation: 44+3=47 Current State: 63:[64, 47, 47], Operations: ['44+3=47'] Exploring Operation: 47/47=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 47/47=1 Current State: 63:[64, 1], Operations: ['44+3=47', '47/47=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 16, 96, 62 ]
42
[ "16-8=8", "96-62=34", "8+34=42" ]
Current State: 42:[8, 16, 96, 62], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [96, 62, 8] Generated Node #2: [96, 62, 8] from Operation: 16-8=8 Current State: 42:[96, 62, 8], Operations: ['16-8=8'] Exploring Operation: 96-62=34, Resulting Numbers: [8, 34] Generated Node #3: [8, 34] from Operation: 96-62=34 Current State: 42:[8, 34], Operations: ['16-8=8', '96-62=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 30, 27, 8, 60 ]
71
[ "30-27=3", "8+60=68", "3+68=71" ]
Current State: 71:[30, 27, 8, 60], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [8, 60, 3] Generated Node #2: [8, 60, 3] from Operation: 30-27=3 Current State: 71:[8, 60, 3], Operations: ['30-27=3'] Exploring Operation: 8+60=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 8+60=68 Current State: 71:[3, 68], Operations: ['30-27=3', '8+60=68'] Exploring Operation: 3+68=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 84, 79, 73, 7 ]
91
[ "84*79=6636", "7+6636=6643", "6643/73=91" ]
Current State: 91:[84, 79, 73, 7], Operations: [] Exploring Operation: 84*79=6636, Resulting Numbers: [73, 7, 6636] Generated Node #2: [73, 7, 6636] from Operation: 84*79=6636 Current State: 91:[73, 7, 6636], Operations: ['84*79=6636'] Exploring Operation: 7+6636=6643, Resulting Numbers: [73, 6643] Generated Node #3: [73, 6643] from Operation: 7+6636=6643 Current State: 91:[73, 6643], Operations: ['84*79=6636', '7+6636=6643'] Exploring Operation: 6643/73=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 83, 39, 51, 10 ]
74
[ "39+51=90", "90/10=9", "83-9=74" ]
Current State: 74:[83, 39, 51, 10], Operations: [] Exploring Operation: 39+51=90, Resulting Numbers: [83, 10, 90] Generated Node #2: [83, 10, 90] from Operation: 39+51=90 Current State: 74:[83, 10, 90], Operations: ['39+51=90'] Exploring Operation: 90/10=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 90/10=9 Current State: 74:[83, 9], Operations: ['39+51=90', '90/10=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 93, 45, 68, 36 ]
80
[ "93-45=48", "68-36=32", "48+32=80" ]
Current State: 80:[93, 45, 68, 36], Operations: [] Exploring Operation: 93-45=48, Resulting Numbers: [68, 36, 48] Generated Node #2: [68, 36, 48] from Operation: 93-45=48 Current State: 80:[68, 36, 48], Operations: ['93-45=48'] Exploring Operation: 68-36=32, Resulting Numbers: [48, 32] Generated Node #3: [48, 32] from Operation: 68-36=32 Current State: 80:[48, 32], Operations: ['93-45=48', '68-36=32'] Exploring Operation: 48+32=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 49, 11, 35, 7 ]
22
[ "49-35=14", "11*14=154", "154/7=22" ]
Current State: 22:[49, 11, 35, 7], Operations: [] Exploring Operation: 49-35=14, Resulting Numbers: [11, 7, 14] Generated Node #2: [11, 7, 14] from Operation: 49-35=14 Current State: 22:[11, 7, 14], Operations: ['49-35=14'] Exploring Operation: 11*14=154, Resulting Numbers: [7, 154] Generated Node #3: [7, 154] from Operation: 11*14=154 Current State: 22:[7, 154], Operations: ['49-35=14', '11*14=154'] Exploring Operation: 154/7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 42, 84, 55 ]
93
[ "19*84=1596", "1596/42=38", "55+38=93" ]
Current State: 93:[19, 42, 84, 55], Operations: [] Exploring Operation: 19*84=1596, Resulting Numbers: [42, 55, 1596] Generated Node #2: [42, 55, 1596] from Operation: 19*84=1596 Current State: 93:[42, 55, 1596], Operations: ['19*84=1596'] Exploring Operation: 1596/42=38, Resulting Numbers: [55, 38] Generated Node #3: [55, 38] from Operation: 1596/42=38 Current State: 93:[55, 38], Operations: ['19*84=1596', '1596/42=38'] Exploring Operation: 55+38=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 43, 22, 51, 64 ]
52
[ "43+22=65", "64-51=13", "65-13=52" ]
Current State: 52:[43, 22, 51, 64], Operations: [] Exploring Operation: 43+22=65, Resulting Numbers: [51, 64, 65] Generated Node #2: [51, 64, 65] from Operation: 43+22=65 Current State: 52:[51, 64, 65], Operations: ['43+22=65'] Exploring Operation: 64-51=13, Resulting Numbers: [65, 13] Generated Node #3: [65, 13] from Operation: 64-51=13 Current State: 52:[65, 13], Operations: ['43+22=65', '64-51=13'] Exploring Operation: 65-13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 41, 89, 21, 55 ]
54
[ "41+89=130", "21+55=76", "130-76=54" ]
Current State: 54:[41, 89, 21, 55], Operations: [] Exploring Operation: 41+89=130, Resulting Numbers: [21, 55, 130] Generated Node #2: [21, 55, 130] from Operation: 41+89=130 Current State: 54:[21, 55, 130], Operations: ['41+89=130'] Exploring Operation: 21+55=76, Resulting Numbers: [130, 76] Generated Node #3: [130, 76] from Operation: 21+55=76 Current State: 54:[130, 76], Operations: ['41+89=130', '21+55=76'] Exploring Operation: 130-76=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 81, 65, 55 ]
84
[ "81-45=36", "65+55=120", "120-36=84" ]
Current State: 84:[45, 81, 65, 55], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [65, 55, 36] Generated Node #2: [65, 55, 36] from Operation: 81-45=36 Current State: 84:[65, 55, 36], Operations: ['81-45=36'] Exploring Operation: 65+55=120, Resulting Numbers: [36, 120] Generated Node #3: [36, 120] from Operation: 65+55=120 Current State: 84:[36, 120], Operations: ['81-45=36', '65+55=120'] Exploring Operation: 120-36=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 71, 6, 78 ]
65
[ "78-42=36", "36/6=6", "71-6=65" ]
Current State: 65:[42, 71, 6, 78], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [71, 6, 36] Generated Node #2: [71, 6, 36] from Operation: 78-42=36 Current State: 65:[71, 6, 36], Operations: ['78-42=36'] Exploring Operation: 36/6=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 36/6=6 Current State: 65:[71, 6], Operations: ['78-42=36', '36/6=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 52, 9, 88 ]
79
[ "52-52=0", "88-9=79", "0+79=79" ]
Current State: 79:[52, 52, 9, 88], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [9, 88, 0] Generated Node #2: [9, 88, 0] from Operation: 52-52=0 Current State: 79:[9, 88, 0], Operations: ['52-52=0'] Exploring Operation: 88-9=79, Resulting Numbers: [0, 79] Generated Node #3: [0, 79] from Operation: 88-9=79 Current State: 79:[0, 79], Operations: ['52-52=0', '88-9=79'] Exploring Operation: 0+79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 91, 77, 4, 44 ]
12
[ "91-77=14", "4*14=56", "56-44=12" ]
Current State: 12:[91, 77, 4, 44], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [4, 44, 14] Generated Node #2: [4, 44, 14] from Operation: 91-77=14 Current State: 12:[4, 44, 14], Operations: ['91-77=14'] Exploring Operation: 4*14=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 4*14=56 Current State: 12:[44, 56], Operations: ['91-77=14', '4*14=56'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 21, 18, 49 ]
13
[ "33+21=54", "18+49=67", "67-54=13" ]
Current State: 13:[33, 21, 18, 49], Operations: [] Exploring Operation: 33+21=54, Resulting Numbers: [18, 49, 54] Generated Node #2: [18, 49, 54] from Operation: 33+21=54 Current State: 13:[18, 49, 54], Operations: ['33+21=54'] Exploring Operation: 18+49=67, Resulting Numbers: [54, 67] Generated Node #3: [54, 67] from Operation: 18+49=67 Current State: 13:[54, 67], Operations: ['33+21=54', '18+49=67'] Exploring Operation: 67-54=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 83, 6, 95, 92 ]
81
[ "95-92=3", "6/3=2", "83-2=81" ]
Current State: 81:[83, 6, 95, 92], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [83, 6, 3] Generated Node #2: [83, 6, 3] from Operation: 95-92=3 Current State: 81:[83, 6, 3], Operations: ['95-92=3'] Exploring Operation: 6/3=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 6/3=2 Current State: 81:[83, 2], Operations: ['95-92=3', '6/3=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 2, 47, 12 ]
34
[ "5*12=60", "2*47=94", "94-60=34" ]
Current State: 34:[5, 2, 47, 12], Operations: [] Exploring Operation: 5*12=60, Resulting Numbers: [2, 47, 60] Generated Node #2: [2, 47, 60] from Operation: 5*12=60 Current State: 34:[2, 47, 60], Operations: ['5*12=60'] Exploring Operation: 2*47=94, Resulting Numbers: [60, 94] Generated Node #3: [60, 94] from Operation: 2*47=94 Current State: 34:[60, 94], Operations: ['5*12=60', '2*47=94'] Exploring Operation: 94-60=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 49, 83, 37, 72 ]
23
[ "49+83=132", "37+72=109", "132-109=23" ]
Current State: 23:[49, 83, 37, 72], Operations: [] Exploring Operation: 49+83=132, Resulting Numbers: [37, 72, 132] Generated Node #2: [37, 72, 132] from Operation: 49+83=132 Current State: 23:[37, 72, 132], Operations: ['49+83=132'] Exploring Operation: 37+72=109, Resulting Numbers: [132, 109] Generated Node #3: [132, 109] from Operation: 37+72=109 Current State: 23:[132, 109], Operations: ['49+83=132', '37+72=109'] Exploring Operation: 132-109=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 77, 46, 68 ]
80
[ "25+77=102", "68-46=22", "102-22=80" ]
Current State: 80:[25, 77, 46, 68], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [46, 68, 102] Generated Node #2: [46, 68, 102] from Operation: 25+77=102 Current State: 80:[46, 68, 102], Operations: ['25+77=102'] Exploring Operation: 68-46=22, Resulting Numbers: [102, 22] Generated Node #3: [102, 22] from Operation: 68-46=22 Current State: 80:[102, 22], Operations: ['25+77=102', '68-46=22'] Exploring Operation: 102-22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 54, 36, 75, 87 ]
17
[ "36*87=3132", "3132/54=58", "75-58=17" ]
Current State: 17:[54, 36, 75, 87], Operations: [] Exploring Operation: 36*87=3132, Resulting Numbers: [54, 75, 3132] Generated Node #2: [54, 75, 3132] from Operation: 36*87=3132 Current State: 17:[54, 75, 3132], Operations: ['36*87=3132'] Exploring Operation: 3132/54=58, Resulting Numbers: [75, 58] Generated Node #3: [75, 58] from Operation: 3132/54=58 Current State: 17:[75, 58], Operations: ['36*87=3132', '3132/54=58'] Exploring Operation: 75-58=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 70, 61, 90 ]
78
[ "70-61=9", "90/9=10", "88-10=78" ]
Current State: 78:[88, 70, 61, 90], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [88, 90, 9] Generated Node #2: [88, 90, 9] from Operation: 70-61=9 Current State: 78:[88, 90, 9], Operations: ['70-61=9'] Exploring Operation: 90/9=10, Resulting Numbers: [88, 10] Generated Node #3: [88, 10] from Operation: 90/9=10 Current State: 78:[88, 10], Operations: ['70-61=9', '90/9=10'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 42, 72, 64 ]
96
[ "45*64=2880", "72-42=30", "2880/30=96" ]
Current State: 96:[45, 42, 72, 64], Operations: [] Exploring Operation: 45*64=2880, Resulting Numbers: [42, 72, 2880] Generated Node #2: [42, 72, 2880] from Operation: 45*64=2880 Current State: 96:[42, 72, 2880], Operations: ['45*64=2880'] Exploring Operation: 72-42=30, Resulting Numbers: [2880, 30] Generated Node #3: [2880, 30] from Operation: 72-42=30 Current State: 96:[2880, 30], Operations: ['45*64=2880', '72-42=30'] Exploring Operation: 2880/30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 27, 42, 92, 13 ]
64
[ "42-27=15", "92-13=79", "79-15=64" ]
Current State: 64:[27, 42, 92, 13], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [92, 13, 15] Generated Node #2: [92, 13, 15] from Operation: 42-27=15 Current State: 64:[92, 13, 15], Operations: ['42-27=15'] Exploring Operation: 92-13=79, Resulting Numbers: [15, 79] Generated Node #3: [15, 79] from Operation: 92-13=79 Current State: 64:[15, 79], Operations: ['42-27=15', '92-13=79'] Exploring Operation: 79-15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 72, 19, 3 ]
75
[ "20-19=1", "72+3=75", "1*75=75" ]
Current State: 75:[20, 72, 19, 3], Operations: [] Exploring Operation: 20-19=1, Resulting Numbers: [72, 3, 1] Generated Node #2: [72, 3, 1] from Operation: 20-19=1 Current State: 75:[72, 3, 1], Operations: ['20-19=1'] Exploring Operation: 72+3=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 72+3=75 Current State: 75:[1, 75], Operations: ['20-19=1', '72+3=75'] Exploring Operation: 1*75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 3, 77, 59 ]
94
[ "77-59=18", "3*18=54", "40+54=94" ]
Current State: 94:[40, 3, 77, 59], Operations: [] Exploring Operation: 77-59=18, Resulting Numbers: [40, 3, 18] Generated Node #2: [40, 3, 18] from Operation: 77-59=18 Current State: 94:[40, 3, 18], Operations: ['77-59=18'] Exploring Operation: 3*18=54, Resulting Numbers: [40, 54] Generated Node #3: [40, 54] from Operation: 3*18=54 Current State: 94:[40, 54], Operations: ['77-59=18', '3*18=54'] Exploring Operation: 40+54=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 99, 15, 16, 12 ]
51
[ "15-12=3", "16*3=48", "99-48=51" ]
Current State: 51:[99, 15, 16, 12], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [99, 16, 3] Generated Node #2: [99, 16, 3] from Operation: 15-12=3 Current State: 51:[99, 16, 3], Operations: ['15-12=3'] Exploring Operation: 16*3=48, Resulting Numbers: [99, 48] Generated Node #3: [99, 48] from Operation: 16*3=48 Current State: 51:[99, 48], Operations: ['15-12=3', '16*3=48'] Exploring Operation: 99-48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 47, 10, 14 ]
51
[ "26+14=40", "40/10=4", "47+4=51" ]
Current State: 51:[26, 47, 10, 14], Operations: [] Exploring Operation: 26+14=40, Resulting Numbers: [47, 10, 40] Generated Node #2: [47, 10, 40] from Operation: 26+14=40 Current State: 51:[47, 10, 40], Operations: ['26+14=40'] Exploring Operation: 40/10=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 40/10=4 Current State: 51:[47, 4], Operations: ['26+14=40', '40/10=4'] Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 93, 71, 99, 12 ]
54
[ "93-71=22", "99*12=1188", "1188/22=54" ]
Current State: 54:[93, 71, 99, 12], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [99, 12, 22] Generated Node #2: [99, 12, 22] from Operation: 93-71=22 Current State: 54:[99, 12, 22], Operations: ['93-71=22'] Exploring Operation: 99*12=1188, Resulting Numbers: [22, 1188] Generated Node #3: [22, 1188] from Operation: 99*12=1188 Current State: 54:[22, 1188], Operations: ['93-71=22', '99*12=1188'] Exploring Operation: 1188/22=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 5, 69, 26 ]
96
[ "6-5=1", "69+26=95", "1+95=96" ]
Current State: 96:[6, 5, 69, 26], Operations: [] Exploring Operation: 6-5=1, Resulting Numbers: [69, 26, 1] Generated Node #2: [69, 26, 1] from Operation: 6-5=1 Current State: 96:[69, 26, 1], Operations: ['6-5=1'] Exploring Operation: 69+26=95, Resulting Numbers: [1, 95] Generated Node #3: [1, 95] from Operation: 69+26=95 Current State: 96:[1, 95], Operations: ['6-5=1', '69+26=95'] Exploring Operation: 1+95=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 66, 26, 47, 99 ]
64
[ "99-47=52", "52/26=2", "66-2=64" ]
Current State: 64:[66, 26, 47, 99], Operations: [] Exploring Operation: 99-47=52, Resulting Numbers: [66, 26, 52] Generated Node #2: [66, 26, 52] from Operation: 99-47=52 Current State: 64:[66, 26, 52], Operations: ['99-47=52'] Exploring Operation: 52/26=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 52/26=2 Current State: 64:[66, 2], Operations: ['99-47=52', '52/26=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 10, 29, 70, 11 ]
11
[ "70/10=7", "29-11=18", "18-7=11" ]
Current State: 11:[10, 29, 70, 11], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [29, 11, 7] Generated Node #2: [29, 11, 7] from Operation: 70/10=7 Current State: 11:[29, 11, 7], Operations: ['70/10=7'] Exploring Operation: 29-11=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 29-11=18 Current State: 11:[7, 18], Operations: ['70/10=7', '29-11=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 94, 9, 92 ]
99
[ "2*92=184", "94-9=85", "184-85=99" ]
Current State: 99:[2, 94, 9, 92], Operations: [] Exploring Operation: 2*92=184, Resulting Numbers: [94, 9, 184] Generated Node #2: [94, 9, 184] from Operation: 2*92=184 Current State: 99:[94, 9, 184], Operations: ['2*92=184'] Exploring Operation: 94-9=85, Resulting Numbers: [184, 85] Generated Node #3: [184, 85] from Operation: 94-9=85 Current State: 99:[184, 85], Operations: ['2*92=184', '94-9=85'] Exploring Operation: 184-85=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 21, 95, 88 ]
35
[ "2*21=42", "95-88=7", "42-7=35" ]
Current State: 35:[2, 21, 95, 88], Operations: [] Exploring Operation: 2*21=42, Resulting Numbers: [95, 88, 42] Generated Node #2: [95, 88, 42] from Operation: 2*21=42 Current State: 35:[95, 88, 42], Operations: ['2*21=42'] Exploring Operation: 95-88=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 95-88=7 Current State: 35:[42, 7], Operations: ['2*21=42', '95-88=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 4, 25, 23 ]
35
[ "38-23=15", "4*15=60", "60-25=35" ]
Current State: 35:[38, 4, 25, 23], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [4, 25, 15] Generated Node #2: [4, 25, 15] from Operation: 38-23=15 Current State: 35:[4, 25, 15], Operations: ['38-23=15'] Exploring Operation: 4*15=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 4*15=60 Current State: 35:[25, 60], Operations: ['38-23=15', '4*15=60'] Exploring Operation: 60-25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 33, 94, 98 ]
71
[ "42+33=75", "98-94=4", "75-4=71" ]
Current State: 71:[42, 33, 94, 98], Operations: [] Exploring Operation: 42+33=75, Resulting Numbers: [94, 98, 75] Generated Node #2: [94, 98, 75] from Operation: 42+33=75 Current State: 71:[94, 98, 75], Operations: ['42+33=75'] Exploring Operation: 98-94=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 98-94=4 Current State: 71:[75, 4], Operations: ['42+33=75', '98-94=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 53, 17, 51 ]
14
[ "95-53=42", "51/17=3", "42/3=14" ]
Current State: 14:[95, 53, 17, 51], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [17, 51, 42] Generated Node #2: [17, 51, 42] from Operation: 95-53=42 Current State: 14:[17, 51, 42], Operations: ['95-53=42'] Exploring Operation: 51/17=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 51/17=3 Current State: 14:[42, 3], Operations: ['95-53=42', '51/17=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 37, 37, 47, 99 ]
22
[ "37+37=74", "99-47=52", "74-52=22" ]
Current State: 22:[37, 37, 47, 99], Operations: [] Exploring Operation: 37+37=74, Resulting Numbers: [47, 99, 74] Generated Node #2: [47, 99, 74] from Operation: 37+37=74 Current State: 22:[47, 99, 74], Operations: ['37+37=74'] Exploring Operation: 99-47=52, Resulting Numbers: [74, 52] Generated Node #3: [74, 52] from Operation: 99-47=52 Current State: 22:[74, 52], Operations: ['37+37=74', '99-47=52'] Exploring Operation: 74-52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4