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
[ 11, 53, 43, 57 ]
28
[ "53-11=42", "57-43=14", "42-14=28" ]
Current State: 28:[11, 53, 43, 57], Operations: [] Exploring Operation: 53-11=42, Resulting Numbers: [43, 57, 42] Generated Node #2: [43, 57, 42] from Operation: 53-11=42 Current State: 28:[43, 57, 42], Operations: ['53-11=42'] Exploring Operation: 57-43=14, Resulting Numbers: [42, 14] Generated Node #3: [42, 14] from Operation: 57-43=14 Current State: 28:[42, 14], Operations: ['53-11=42', '57-43=14'] Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 92, 81, 55 ]
18
[ "62+92=154", "81+55=136", "154-136=18" ]
Current State: 18:[62, 92, 81, 55], Operations: [] Exploring Operation: 62+92=154, Resulting Numbers: [81, 55, 154] Generated Node #2: [81, 55, 154] from Operation: 62+92=154 Current State: 18:[81, 55, 154], Operations: ['62+92=154'] Exploring Operation: 81+55=136, Resulting Numbers: [154, 136] Generated Node #3: [154, 136] from Operation: 81+55=136 Current State: 18:[154, 136], Operations: ['62+92=154', '81+55=136'] Exploring Operation: 154-136=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 92, 96, 80 ]
36
[ "92-40=52", "96-80=16", "52-16=36" ]
Current State: 36:[40, 92, 96, 80], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [96, 80, 52] Generated Node #2: [96, 80, 52] from Operation: 92-40=52 Current State: 36:[96, 80, 52], Operations: ['92-40=52'] Exploring Operation: 96-80=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 96-80=16 Current State: 36:[52, 16], Operations: ['92-40=52', '96-80=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 73, 74, 98 ]
43
[ "98-55=43", "74-73=1", "43*1=43" ]
Current State: 43:[55, 73, 74, 98], Operations: [] Exploring Operation: 98-55=43, Resulting Numbers: [73, 74, 43] Generated Node #2: [73, 74, 43] from Operation: 98-55=43 Current State: 43:[73, 74, 43], Operations: ['98-55=43'] Exploring Operation: 74-73=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 74-73=1 Current State: 43:[43, 1], Operations: ['98-55=43', '74-73=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 60, 1, 71 ]
77
[ "60/12=5", "1+71=72", "5+72=77" ]
Current State: 77:[12, 60, 1, 71], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [1, 71, 5] Generated Node #2: [1, 71, 5] from Operation: 60/12=5 Current State: 77:[1, 71, 5], Operations: ['60/12=5'] Exploring Operation: 1+71=72, Resulting Numbers: [5, 72] Generated Node #3: [5, 72] from Operation: 1+71=72 Current State: 77:[5, 72], Operations: ['60/12=5', '1+71=72'] Exploring Operation: 5+72=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 25, 45, 35, 37 ]
72
[ "25+45=70", "37-35=2", "70+2=72" ]
Current State: 72:[25, 45, 35, 37], Operations: [] Exploring Operation: 25+45=70, Resulting Numbers: [35, 37, 70] Generated Node #2: [35, 37, 70] from Operation: 25+45=70 Current State: 72:[35, 37, 70], Operations: ['25+45=70'] Exploring Operation: 37-35=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 37-35=2 Current State: 72:[70, 2], Operations: ['25+45=70', '37-35=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 30, 57, 7, 91 ]
28
[ "30+57=87", "91-87=4", "7*4=28" ]
Current State: 28:[30, 57, 7, 91], Operations: [] Exploring Operation: 30+57=87, Resulting Numbers: [7, 91, 87] Generated Node #2: [7, 91, 87] from Operation: 30+57=87 Current State: 28:[7, 91, 87], Operations: ['30+57=87'] Exploring Operation: 91-87=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 91-87=4 Current State: 28:[7, 4], Operations: ['30+57=87', '91-87=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 8, 17, 73 ]
80
[ "73-17=56", "56/8=7", "87-7=80" ]
Current State: 80:[87, 8, 17, 73], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [87, 8, 56] Generated Node #2: [87, 8, 56] from Operation: 73-17=56 Current State: 80:[87, 8, 56], Operations: ['73-17=56'] Exploring Operation: 56/8=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 56/8=7 Current State: 80:[87, 7], Operations: ['73-17=56', '56/8=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 27, 85, 35, 31 ]
23
[ "35-31=4", "27*4=108", "108-85=23" ]
Current State: 23:[27, 85, 35, 31], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [27, 85, 4] Generated Node #2: [27, 85, 4] from Operation: 35-31=4 Current State: 23:[27, 85, 4], Operations: ['35-31=4'] Exploring Operation: 27*4=108, Resulting Numbers: [85, 108] Generated Node #3: [85, 108] from Operation: 27*4=108 Current State: 23:[85, 108], Operations: ['35-31=4', '27*4=108'] Exploring Operation: 108-85=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 86, 98, 63 ]
15
[ "98-86=12", "4*12=48", "63-48=15" ]
Current State: 15:[4, 86, 98, 63], Operations: [] Exploring Operation: 98-86=12, Resulting Numbers: [4, 63, 12] Generated Node #2: [4, 63, 12] from Operation: 98-86=12 Current State: 15:[4, 63, 12], Operations: ['98-86=12'] Exploring Operation: 4*12=48, Resulting Numbers: [63, 48] Generated Node #3: [63, 48] from Operation: 4*12=48 Current State: 15:[63, 48], Operations: ['98-86=12', '4*12=48'] Exploring Operation: 63-48=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 6, 21, 64 ]
70
[ "33-6=27", "64-21=43", "27+43=70" ]
Current State: 70:[33, 6, 21, 64], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [21, 64, 27] Generated Node #2: [21, 64, 27] from Operation: 33-6=27 Current State: 70:[21, 64, 27], Operations: ['33-6=27'] Exploring Operation: 64-21=43, Resulting Numbers: [27, 43] Generated Node #3: [27, 43] from Operation: 64-21=43 Current State: 70:[27, 43], Operations: ['33-6=27', '64-21=43'] Exploring Operation: 27+43=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 84, 89, 87 ]
36
[ "84-46=38", "89-87=2", "38-2=36" ]
Current State: 36:[46, 84, 89, 87], Operations: [] Exploring Operation: 84-46=38, Resulting Numbers: [89, 87, 38] Generated Node #2: [89, 87, 38] from Operation: 84-46=38 Current State: 36:[89, 87, 38], Operations: ['84-46=38'] Exploring Operation: 89-87=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 89-87=2 Current State: 36:[38, 2], Operations: ['84-46=38', '89-87=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 90, 2, 4 ]
43
[ "2+4=6", "90/6=15", "28+15=43" ]
Current State: 43:[28, 90, 2, 4], Operations: [] Exploring Operation: 2+4=6, Resulting Numbers: [28, 90, 6] Generated Node #2: [28, 90, 6] from Operation: 2+4=6 Current State: 43:[28, 90, 6], Operations: ['2+4=6'] Exploring Operation: 90/6=15, Resulting Numbers: [28, 15] Generated Node #3: [28, 15] from Operation: 90/6=15 Current State: 43:[28, 15], Operations: ['2+4=6', '90/6=15'] Exploring Operation: 28+15=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 65, 52, 34, 67 ]
16
[ "65+52=117", "34+67=101", "117-101=16" ]
Current State: 16:[65, 52, 34, 67], Operations: [] Exploring Operation: 65+52=117, Resulting Numbers: [34, 67, 117] Generated Node #2: [34, 67, 117] from Operation: 65+52=117 Current State: 16:[34, 67, 117], Operations: ['65+52=117'] Exploring Operation: 34+67=101, Resulting Numbers: [117, 101] Generated Node #3: [117, 101] from Operation: 34+67=101 Current State: 16:[117, 101], Operations: ['65+52=117', '34+67=101'] Exploring Operation: 117-101=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 83, 27, 9, 46 ]
73
[ "83+27=110", "46-9=37", "110-37=73" ]
Current State: 73:[83, 27, 9, 46], Operations: [] Exploring Operation: 83+27=110, Resulting Numbers: [9, 46, 110] Generated Node #2: [9, 46, 110] from Operation: 83+27=110 Current State: 73:[9, 46, 110], Operations: ['83+27=110'] Exploring Operation: 46-9=37, Resulting Numbers: [110, 37] Generated Node #3: [110, 37] from Operation: 46-9=37 Current State: 73:[110, 37], Operations: ['83+27=110', '46-9=37'] Exploring Operation: 110-37=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 60, 4, 28 ]
64
[ "38*4=152", "60+28=88", "152-88=64" ]
Current State: 64:[38, 60, 4, 28], Operations: [] Exploring Operation: 38*4=152, Resulting Numbers: [60, 28, 152] Generated Node #2: [60, 28, 152] from Operation: 38*4=152 Current State: 64:[60, 28, 152], Operations: ['38*4=152'] Exploring Operation: 60+28=88, Resulting Numbers: [152, 88] Generated Node #3: [152, 88] from Operation: 60+28=88 Current State: 64:[152, 88], Operations: ['38*4=152', '60+28=88'] Exploring Operation: 152-88=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 58, 43, 41, 32 ]
58
[ "58-43=15", "41+32=73", "73-15=58" ]
Current State: 58:[58, 43, 41, 32], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [41, 32, 15] Generated Node #2: [41, 32, 15] from Operation: 58-43=15 Current State: 58:[41, 32, 15], Operations: ['58-43=15'] Exploring Operation: 41+32=73, Resulting Numbers: [15, 73] Generated Node #3: [15, 73] from Operation: 41+32=73 Current State: 58:[15, 73], Operations: ['58-43=15', '41+32=73'] Exploring Operation: 73-15=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 71, 66, 50, 8 ]
57
[ "66-50=16", "8*16=128", "128-71=57" ]
Current State: 57:[71, 66, 50, 8], Operations: [] Exploring Operation: 66-50=16, Resulting Numbers: [71, 8, 16] Generated Node #2: [71, 8, 16] from Operation: 66-50=16 Current State: 57:[71, 8, 16], Operations: ['66-50=16'] Exploring Operation: 8*16=128, Resulting Numbers: [71, 128] Generated Node #3: [71, 128] from Operation: 8*16=128 Current State: 57:[71, 128], Operations: ['66-50=16', '8*16=128'] Exploring Operation: 128-71=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 41, 11, 22, 20 ]
50
[ "41+11=52", "22-20=2", "52-2=50" ]
Current State: 50:[41, 11, 22, 20], Operations: [] Exploring Operation: 41+11=52, Resulting Numbers: [22, 20, 52] Generated Node #2: [22, 20, 52] from Operation: 41+11=52 Current State: 50:[22, 20, 52], Operations: ['41+11=52'] Exploring Operation: 22-20=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 22-20=2 Current State: 50:[52, 2], Operations: ['41+11=52', '22-20=2'] Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 34, 34, 40, 72 ]
46
[ "40-34=6", "72/6=12", "34+12=46" ]
Current State: 46:[34, 34, 40, 72], Operations: [] Exploring Operation: 40-34=6, Resulting Numbers: [72, 6] Generated Node #2: [72, 6] from Operation: 40-34=6 Current State: 46:[72, 6], Operations: ['40-34=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,46 equal: Goal Reached Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 30, 60, 45 ]
99
[ "56+45=101", "60/30=2", "101-2=99" ]
Current State: 99:[56, 30, 60, 45], Operations: [] Exploring Operation: 56+45=101, Resulting Numbers: [30, 60, 101] Generated Node #2: [30, 60, 101] from Operation: 56+45=101 Current State: 99:[30, 60, 101], Operations: ['56+45=101'] Exploring Operation: 60/30=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 60/30=2 Current State: 99:[101, 2], Operations: ['56+45=101', '60/30=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 6, 98, 66 ]
84
[ "98-25=73", "66/6=11", "73+11=84" ]
Current State: 84:[25, 6, 98, 66], Operations: [] Exploring Operation: 98-25=73, Resulting Numbers: [6, 66, 73] Generated Node #2: [6, 66, 73] from Operation: 98-25=73 Current State: 84:[6, 66, 73], Operations: ['98-25=73'] Exploring Operation: 66/6=11, Resulting Numbers: [73, 11] Generated Node #3: [73, 11] from Operation: 66/6=11 Current State: 84:[73, 11], Operations: ['98-25=73', '66/6=11'] Exploring Operation: 73+11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 33, 24, 40 ]
84
[ "33-13=20", "24+40=64", "20+64=84" ]
Current State: 84:[13, 33, 24, 40], Operations: [] Exploring Operation: 33-13=20, Resulting Numbers: [24, 40, 20] Generated Node #2: [24, 40, 20] from Operation: 33-13=20 Current State: 84:[24, 40, 20], Operations: ['33-13=20'] Exploring Operation: 24+40=64, Resulting Numbers: [20, 64] Generated Node #3: [20, 64] from Operation: 24+40=64 Current State: 84:[20, 64], Operations: ['33-13=20', '24+40=64'] Exploring Operation: 20+64=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 45, 15, 22 ]
79
[ "45-3=42", "15+22=37", "42+37=79" ]
Current State: 79:[3, 45, 15, 22], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [15, 22, 42] Generated Node #2: [15, 22, 42] from Operation: 45-3=42 Current State: 79:[15, 22, 42], Operations: ['45-3=42'] Exploring Operation: 15+22=37, Resulting Numbers: [42, 37] Generated Node #3: [42, 37] from Operation: 15+22=37 Current State: 79:[42, 37], Operations: ['45-3=42', '15+22=37'] Exploring Operation: 42+37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 97, 68, 98, 19 ]
86
[ "97+68=165", "98-19=79", "165-79=86" ]
Current State: 86:[97, 68, 98, 19], Operations: [] Exploring Operation: 97+68=165, Resulting Numbers: [98, 19, 165] Generated Node #2: [98, 19, 165] from Operation: 97+68=165 Current State: 86:[98, 19, 165], Operations: ['97+68=165'] Exploring Operation: 98-19=79, Resulting Numbers: [165, 79] Generated Node #3: [165, 79] from Operation: 98-19=79 Current State: 86:[165, 79], Operations: ['97+68=165', '98-19=79'] Exploring Operation: 165-79=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 99, 34, 90, 78 ]
35
[ "99+34=133", "90+78=168", "168-133=35" ]
Current State: 35:[99, 34, 90, 78], Operations: [] Exploring Operation: 99+34=133, Resulting Numbers: [90, 78, 133] Generated Node #2: [90, 78, 133] from Operation: 99+34=133 Current State: 35:[90, 78, 133], Operations: ['99+34=133'] Exploring Operation: 90+78=168, Resulting Numbers: [133, 168] Generated Node #3: [133, 168] from Operation: 90+78=168 Current State: 35:[133, 168], Operations: ['99+34=133', '90+78=168'] Exploring Operation: 168-133=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 73, 5, 13, 77 ]
24
[ "5*77=385", "385-73=312", "312/13=24" ]
Current State: 24:[73, 5, 13, 77], Operations: [] Exploring Operation: 5*77=385, Resulting Numbers: [73, 13, 385] Generated Node #2: [73, 13, 385] from Operation: 5*77=385 Current State: 24:[73, 13, 385], Operations: ['5*77=385'] Exploring Operation: 385-73=312, Resulting Numbers: [13, 312] Generated Node #3: [13, 312] from Operation: 385-73=312 Current State: 24:[13, 312], Operations: ['5*77=385', '385-73=312'] Exploring Operation: 312/13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 28, 98, 34 ]
92
[ "98*34=3332", "3332/28=119", "119-27=92" ]
Current State: 92:[27, 28, 98, 34], Operations: [] Exploring Operation: 98*34=3332, Resulting Numbers: [27, 28, 3332] Generated Node #2: [27, 28, 3332] from Operation: 98*34=3332 Current State: 92:[27, 28, 3332], Operations: ['98*34=3332'] Exploring Operation: 3332/28=119, Resulting Numbers: [27, 119] Generated Node #3: [27, 119] from Operation: 3332/28=119 Current State: 92:[27, 119], Operations: ['98*34=3332', '3332/28=119'] Exploring Operation: 119-27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 62, 27, 44, 91 ]
67
[ "44+91=135", "135/27=5", "62+5=67" ]
Current State: 67:[62, 27, 44, 91], Operations: [] Exploring Operation: 44+91=135, Resulting Numbers: [62, 27, 135] Generated Node #2: [62, 27, 135] from Operation: 44+91=135 Current State: 67:[62, 27, 135], Operations: ['44+91=135'] Exploring Operation: 135/27=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 135/27=5 Current State: 67:[62, 5], Operations: ['44+91=135', '135/27=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 1, 51, 32, 3 ]
42
[ "32-1=31", "3*31=93", "93-51=42" ]
Current State: 42:[1, 51, 32, 3], Operations: [] Exploring Operation: 32-1=31, Resulting Numbers: [51, 3, 31] Generated Node #2: [51, 3, 31] from Operation: 32-1=31 Current State: 42:[51, 3, 31], Operations: ['32-1=31'] Exploring Operation: 3*31=93, Resulting Numbers: [51, 93] Generated Node #3: [51, 93] from Operation: 3*31=93 Current State: 42:[51, 93], Operations: ['32-1=31', '3*31=93'] Exploring Operation: 93-51=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 98, 49, 24, 11 ]
62
[ "98-49=49", "24-11=13", "49+13=62" ]
Current State: 62:[98, 49, 24, 11], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [24, 11, 49] Generated Node #2: [24, 11, 49] from Operation: 98-49=49 Current State: 62:[24, 11, 49], Operations: ['98-49=49'] Exploring Operation: 24-11=13, Resulting Numbers: [49, 13] Generated Node #3: [49, 13] from Operation: 24-11=13 Current State: 62:[49, 13], Operations: ['98-49=49', '24-11=13'] Exploring Operation: 49+13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 68, 81, 32, 5 ]
40
[ "81-68=13", "32-5=27", "13+27=40" ]
Current State: 40:[68, 81, 32, 5], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [32, 5, 13] Generated Node #2: [32, 5, 13] from Operation: 81-68=13 Current State: 40:[32, 5, 13], Operations: ['81-68=13'] Exploring Operation: 32-5=27, Resulting Numbers: [13, 27] Generated Node #3: [13, 27] from Operation: 32-5=27 Current State: 40:[13, 27], Operations: ['81-68=13', '32-5=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 24, 21, 18, 41 ]
85
[ "24-18=6", "21*6=126", "126-41=85" ]
Current State: 85:[24, 21, 18, 41], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [21, 41, 6] Generated Node #2: [21, 41, 6] from Operation: 24-18=6 Current State: 85:[21, 41, 6], Operations: ['24-18=6'] Exploring Operation: 21*6=126, Resulting Numbers: [41, 126] Generated Node #3: [41, 126] from Operation: 21*6=126 Current State: 85:[41, 126], Operations: ['24-18=6', '21*6=126'] Exploring Operation: 126-41=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 67, 46, 8, 52 ]
19
[ "52-46=6", "8*6=48", "67-48=19" ]
Current State: 19:[67, 46, 8, 52], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [67, 8, 6] Generated Node #2: [67, 8, 6] from Operation: 52-46=6 Current State: 19:[67, 8, 6], Operations: ['52-46=6'] Exploring Operation: 8*6=48, Resulting Numbers: [67, 48] Generated Node #3: [67, 48] from Operation: 8*6=48 Current State: 19:[67, 48], Operations: ['52-46=6', '8*6=48'] Exploring Operation: 67-48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 41, 62, 13 ]
44
[ "46-41=5", "62-13=49", "49-5=44" ]
Current State: 44:[46, 41, 62, 13], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [62, 13, 5] Generated Node #2: [62, 13, 5] from Operation: 46-41=5 Current State: 44:[62, 13, 5], Operations: ['46-41=5'] Exploring Operation: 62-13=49, Resulting Numbers: [5, 49] Generated Node #3: [5, 49] from Operation: 62-13=49 Current State: 44:[5, 49], Operations: ['46-41=5', '62-13=49'] Exploring Operation: 49-5=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 78, 65, 24, 6 ]
43
[ "78-65=13", "24+6=30", "13+30=43" ]
Current State: 43:[78, 65, 24, 6], Operations: [] Exploring Operation: 78-65=13, Resulting Numbers: [24, 6, 13] Generated Node #2: [24, 6, 13] from Operation: 78-65=13 Current State: 43:[24, 6, 13], Operations: ['78-65=13'] Exploring Operation: 24+6=30, Resulting Numbers: [13, 30] Generated Node #3: [13, 30] from Operation: 24+6=30 Current State: 43:[13, 30], Operations: ['78-65=13', '24+6=30'] Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 79, 70, 23, 45 ]
81
[ "79+70=149", "23+45=68", "149-68=81" ]
Current State: 81:[79, 70, 23, 45], Operations: [] Exploring Operation: 79+70=149, Resulting Numbers: [23, 45, 149] Generated Node #2: [23, 45, 149] from Operation: 79+70=149 Current State: 81:[23, 45, 149], Operations: ['79+70=149'] Exploring Operation: 23+45=68, Resulting Numbers: [149, 68] Generated Node #3: [149, 68] from Operation: 23+45=68 Current State: 81:[149, 68], Operations: ['79+70=149', '23+45=68'] Exploring Operation: 149-68=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 94, 89, 61 ]
39
[ "17+94=111", "89+61=150", "150-111=39" ]
Current State: 39:[17, 94, 89, 61], Operations: [] Exploring Operation: 17+94=111, Resulting Numbers: [89, 61, 111] Generated Node #2: [89, 61, 111] from Operation: 17+94=111 Current State: 39:[89, 61, 111], Operations: ['17+94=111'] Exploring Operation: 89+61=150, Resulting Numbers: [111, 150] Generated Node #3: [111, 150] from Operation: 89+61=150 Current State: 39:[111, 150], Operations: ['17+94=111', '89+61=150'] Exploring Operation: 150-111=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 26, 20, 33 ]
57
[ "26-22=4", "20+33=53", "4+53=57" ]
Current State: 57:[22, 26, 20, 33], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [20, 33, 4] Generated Node #2: [20, 33, 4] from Operation: 26-22=4 Current State: 57:[20, 33, 4], Operations: ['26-22=4'] Exploring Operation: 20+33=53, Resulting Numbers: [4, 53] Generated Node #3: [4, 53] from Operation: 20+33=53 Current State: 57:[4, 53], Operations: ['26-22=4', '20+33=53'] Exploring Operation: 4+53=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 24, 57, 69, 84 ]
18
[ "57-24=33", "84-69=15", "33-15=18" ]
Current State: 18:[24, 57, 69, 84], Operations: [] Exploring Operation: 57-24=33, Resulting Numbers: [69, 84, 33] Generated Node #2: [69, 84, 33] from Operation: 57-24=33 Current State: 18:[69, 84, 33], Operations: ['57-24=33'] Exploring Operation: 84-69=15, Resulting Numbers: [33, 15] Generated Node #3: [33, 15] from Operation: 84-69=15 Current State: 18:[33, 15], Operations: ['57-24=33', '84-69=15'] Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 62, 69, 56 ]
33
[ "62-56=6", "6*6=36", "69-36=33" ]
Current State: 33:[6, 62, 69, 56], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [6, 69, 6] Generated Node #2: [6, 69, 6] from Operation: 62-56=6 Current State: 33:[6, 69, 6], Operations: ['62-56=6'] Exploring Operation: 6*6=36, Resulting Numbers: [69, 36] Generated Node #3: [69, 36] from Operation: 6*6=36 Current State: 33:[69, 36], Operations: ['62-56=6', '6*6=36'] Exploring Operation: 69-36=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 4, 77, 57 ]
83
[ "77-57=20", "4*20=80", "3+80=83" ]
Current State: 83:[3, 4, 77, 57], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [3, 4, 20] Generated Node #2: [3, 4, 20] from Operation: 77-57=20 Current State: 83:[3, 4, 20], Operations: ['77-57=20'] Exploring Operation: 4*20=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 4*20=80 Current State: 83:[3, 80], Operations: ['77-57=20', '4*20=80'] Exploring Operation: 3+80=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 41, 66, 83 ]
47
[ "61+41=102", "66+83=149", "149-102=47" ]
Current State: 47:[61, 41, 66, 83], Operations: [] Exploring Operation: 61+41=102, Resulting Numbers: [66, 83, 102] Generated Node #2: [66, 83, 102] from Operation: 61+41=102 Current State: 47:[66, 83, 102], Operations: ['61+41=102'] Exploring Operation: 66+83=149, Resulting Numbers: [102, 149] Generated Node #3: [102, 149] from Operation: 66+83=149 Current State: 47:[102, 149], Operations: ['61+41=102', '66+83=149'] Exploring Operation: 149-102=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 78, 8, 52 ]
85
[ "52/52=1", "78+8=86", "86-1=85" ]
Current State: 85:[52, 78, 8, 52], Operations: [] Exploring Operation: 52/52=1, Resulting Numbers: [78, 8, 1] Generated Node #2: [78, 8, 1] from Operation: 52/52=1 Current State: 85:[78, 8, 1], Operations: ['52/52=1'] Exploring Operation: 78+8=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 78+8=86 Current State: 85:[1, 86], Operations: ['52/52=1', '78+8=86'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 18, 56, 25 ]
51
[ "25-18=7", "35/7=5", "56-5=51" ]
Current State: 51:[35, 18, 56, 25], Operations: [] Exploring Operation: 25-18=7, Resulting Numbers: [35, 56, 7] Generated Node #2: [35, 56, 7] from Operation: 25-18=7 Current State: 51:[35, 56, 7], Operations: ['25-18=7'] Exploring Operation: 35/7=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 35/7=5 Current State: 51:[56, 5], Operations: ['25-18=7', '35/7=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 4, 34, 64 ]
33
[ "12/4=3", "64-34=30", "3+30=33" ]
Current State: 33:[12, 4, 34, 64], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [34, 64, 3] Generated Node #2: [34, 64, 3] from Operation: 12/4=3 Current State: 33:[34, 64, 3], Operations: ['12/4=3'] Exploring Operation: 64-34=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 64-34=30 Current State: 33:[3, 30], Operations: ['12/4=3', '64-34=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 17, 55, 52 ]
71
[ "19+17=36", "55+52=107", "107-36=71" ]
Current State: 71:[19, 17, 55, 52], Operations: [] Exploring Operation: 19+17=36, Resulting Numbers: [55, 52, 36] Generated Node #2: [55, 52, 36] from Operation: 19+17=36 Current State: 71:[55, 52, 36], Operations: ['19+17=36'] Exploring Operation: 55+52=107, Resulting Numbers: [36, 107] Generated Node #3: [36, 107] from Operation: 55+52=107 Current State: 71:[36, 107], Operations: ['19+17=36', '55+52=107'] Exploring Operation: 107-36=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 93, 98, 22 ]
14
[ "98-93=5", "22*5=110", "110-96=14" ]
Current State: 14:[96, 93, 98, 22], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [96, 22, 5] Generated Node #2: [96, 22, 5] from Operation: 98-93=5 Current State: 14:[96, 22, 5], Operations: ['98-93=5'] Exploring Operation: 22*5=110, Resulting Numbers: [96, 110] Generated Node #3: [96, 110] from Operation: 22*5=110 Current State: 14:[96, 110], Operations: ['98-93=5', '22*5=110'] Exploring Operation: 110-96=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 2, 72, 92 ]
43
[ "95+92=187", "2*72=144", "187-144=43" ]
Current State: 43:[95, 2, 72, 92], Operations: [] Exploring Operation: 95+92=187, Resulting Numbers: [2, 72, 187] Generated Node #2: [2, 72, 187] from Operation: 95+92=187 Current State: 43:[2, 72, 187], Operations: ['95+92=187'] Exploring Operation: 2*72=144, Resulting Numbers: [187, 144] Generated Node #3: [187, 144] from Operation: 2*72=144 Current State: 43:[187, 144], Operations: ['95+92=187', '2*72=144'] Exploring Operation: 187-144=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 65, 59, 36, 5 ]
30
[ "65-59=6", "36*5=180", "180/6=30" ]
Current State: 30:[65, 59, 36, 5], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [36, 5, 6] Generated Node #2: [36, 5, 6] from Operation: 65-59=6 Current State: 30:[36, 5, 6], Operations: ['65-59=6'] Exploring Operation: 36*5=180, Resulting Numbers: [6, 180] Generated Node #3: [6, 180] from Operation: 36*5=180 Current State: 30:[6, 180], Operations: ['65-59=6', '36*5=180'] Exploring Operation: 180/6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 17, 38, 81, 42 ]
18
[ "38-17=21", "81-42=39", "39-21=18" ]
Current State: 18:[17, 38, 81, 42], Operations: [] Exploring Operation: 38-17=21, Resulting Numbers: [81, 42, 21] Generated Node #2: [81, 42, 21] from Operation: 38-17=21 Current State: 18:[81, 42, 21], Operations: ['38-17=21'] Exploring Operation: 81-42=39, Resulting Numbers: [21, 39] Generated Node #3: [21, 39] from Operation: 81-42=39 Current State: 18:[21, 39], Operations: ['38-17=21', '81-42=39'] Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 64, 55, 28 ]
58
[ "64-33=31", "55-28=27", "31+27=58" ]
Current State: 58:[33, 64, 55, 28], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [55, 28, 31] Generated Node #2: [55, 28, 31] from Operation: 64-33=31 Current State: 58:[55, 28, 31], Operations: ['64-33=31'] Exploring Operation: 55-28=27, Resulting Numbers: [31, 27] Generated Node #3: [31, 27] from Operation: 55-28=27 Current State: 58:[31, 27], Operations: ['64-33=31', '55-28=27'] Exploring Operation: 31+27=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 8, 27, 61 ]
37
[ "27/9=3", "8*3=24", "61-24=37" ]
Current State: 37:[9, 8, 27, 61], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [8, 61, 3] Generated Node #2: [8, 61, 3] from Operation: 27/9=3 Current State: 37:[8, 61, 3], Operations: ['27/9=3'] Exploring Operation: 8*3=24, Resulting Numbers: [61, 24] Generated Node #3: [61, 24] from Operation: 8*3=24 Current State: 37:[61, 24], Operations: ['27/9=3', '8*3=24'] Exploring Operation: 61-24=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 29, 82, 35, 41 ]
84
[ "29+41=70", "70/35=2", "82+2=84" ]
Current State: 84:[29, 82, 35, 41], Operations: [] Exploring Operation: 29+41=70, Resulting Numbers: [82, 35, 70] Generated Node #2: [82, 35, 70] from Operation: 29+41=70 Current State: 84:[82, 35, 70], Operations: ['29+41=70'] Exploring Operation: 70/35=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 70/35=2 Current State: 84:[82, 2], Operations: ['29+41=70', '70/35=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 33, 20, 10 ]
66
[ "31+33=64", "20/10=2", "64+2=66" ]
Current State: 66:[31, 33, 20, 10], Operations: [] Exploring Operation: 31+33=64, Resulting Numbers: [20, 10, 64] Generated Node #2: [20, 10, 64] from Operation: 31+33=64 Current State: 66:[20, 10, 64], Operations: ['31+33=64'] Exploring Operation: 20/10=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 20/10=2 Current State: 66:[64, 2], Operations: ['31+33=64', '20/10=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 13, 8, 26 ]
27
[ "13-5=8", "8/8=1", "26+1=27" ]
Current State: 27:[5, 13, 8, 26], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [8, 26, 8] Generated Node #2: [8, 26, 8] from Operation: 13-5=8 Current State: 27:[8, 26, 8], Operations: ['13-5=8'] Exploring Operation: 8/8=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 8/8=1 Current State: 27:[26, 1], Operations: ['13-5=8', '8/8=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 31, 16, 91 ]
30
[ "32/16=2", "91-31=60", "60/2=30" ]
Current State: 30:[32, 31, 16, 91], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [31, 91, 2] Generated Node #2: [31, 91, 2] from Operation: 32/16=2 Current State: 30:[31, 91, 2], Operations: ['32/16=2'] Exploring Operation: 91-31=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 91-31=60 Current State: 30:[2, 60], Operations: ['32/16=2', '91-31=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 48, 3, 54, 10 ]
40
[ "48+10=58", "54/3=18", "58-18=40" ]
Current State: 40:[48, 3, 54, 10], Operations: [] Exploring Operation: 48+10=58, Resulting Numbers: [3, 54, 58] Generated Node #2: [3, 54, 58] from Operation: 48+10=58 Current State: 40:[3, 54, 58], Operations: ['48+10=58'] Exploring Operation: 54/3=18, Resulting Numbers: [58, 18] Generated Node #3: [58, 18] from Operation: 54/3=18 Current State: 40:[58, 18], Operations: ['48+10=58', '54/3=18'] Exploring Operation: 58-18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 68, 85, 7 ]
87
[ "85-68=17", "7*17=119", "119-32=87" ]
Current State: 87:[32, 68, 85, 7], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [32, 7, 17] Generated Node #2: [32, 7, 17] from Operation: 85-68=17 Current State: 87:[32, 7, 17], Operations: ['85-68=17'] Exploring Operation: 7*17=119, Resulting Numbers: [32, 119] Generated Node #3: [32, 119] from Operation: 7*17=119 Current State: 87:[32, 119], Operations: ['85-68=17', '7*17=119'] Exploring Operation: 119-32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 63, 9, 2 ]
19
[ "32+9=41", "2*41=82", "82-63=19" ]
Current State: 19:[32, 63, 9, 2], Operations: [] Exploring Operation: 32+9=41, Resulting Numbers: [63, 2, 41] Generated Node #2: [63, 2, 41] from Operation: 32+9=41 Current State: 19:[63, 2, 41], Operations: ['32+9=41'] Exploring Operation: 2*41=82, Resulting Numbers: [63, 82] Generated Node #3: [63, 82] from Operation: 2*41=82 Current State: 19:[63, 82], Operations: ['32+9=41', '2*41=82'] Exploring Operation: 82-63=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 52, 21, 3 ]
29
[ "14+52=66", "21+66=87", "87/3=29" ]
Current State: 29:[14, 52, 21, 3], Operations: [] Exploring Operation: 14+52=66, Resulting Numbers: [21, 3, 66] Generated Node #2: [21, 3, 66] from Operation: 14+52=66 Current State: 29:[21, 3, 66], Operations: ['14+52=66'] Exploring Operation: 21+66=87, Resulting Numbers: [3, 87] Generated Node #3: [3, 87] from Operation: 21+66=87 Current State: 29:[3, 87], Operations: ['14+52=66', '21+66=87'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 61, 81, 36, 16 ]
25
[ "81*16=1296", "1296/36=36", "61-36=25" ]
Current State: 25:[61, 81, 36, 16], Operations: [] Exploring Operation: 81*16=1296, Resulting Numbers: [61, 36, 1296] Generated Node #2: [61, 36, 1296] from Operation: 81*16=1296 Current State: 25:[61, 36, 1296], Operations: ['81*16=1296'] Exploring Operation: 1296/36=36, Resulting Numbers: [61, 36] Generated Node #3: [61, 36] from Operation: 1296/36=36 Current State: 25:[61, 36], Operations: ['81*16=1296', '1296/36=36'] Exploring Operation: 61-36=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 96, 10, 65, 21 ]
49
[ "96+65=161", "10*21=210", "210-161=49" ]
Current State: 49:[96, 10, 65, 21], Operations: [] Exploring Operation: 96+65=161, Resulting Numbers: [10, 21, 161] Generated Node #2: [10, 21, 161] from Operation: 96+65=161 Current State: 49:[10, 21, 161], Operations: ['96+65=161'] Exploring Operation: 10*21=210, Resulting Numbers: [161, 210] Generated Node #3: [161, 210] from Operation: 10*21=210 Current State: 49:[161, 210], Operations: ['96+65=161', '10*21=210'] Exploring Operation: 210-161=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 76, 68, 9, 6 ]
62
[ "76-68=8", "9*6=54", "8+54=62" ]
Current State: 62:[76, 68, 9, 6], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [9, 6, 8] Generated Node #2: [9, 6, 8] from Operation: 76-68=8 Current State: 62:[9, 6, 8], Operations: ['76-68=8'] Exploring Operation: 9*6=54, Resulting Numbers: [8, 54] Generated Node #3: [8, 54] from Operation: 9*6=54 Current State: 62:[8, 54], Operations: ['76-68=8', '9*6=54'] Exploring Operation: 8+54=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 35, 39, 74, 34 ]
40
[ "39*34=1326", "74+1326=1400", "1400/35=40" ]
Current State: 40:[35, 39, 74, 34], Operations: [] Exploring Operation: 39*34=1326, Resulting Numbers: [35, 74, 1326] Generated Node #2: [35, 74, 1326] from Operation: 39*34=1326 Current State: 40:[35, 74, 1326], Operations: ['39*34=1326'] Exploring Operation: 74+1326=1400, Resulting Numbers: [35, 1400] Generated Node #3: [35, 1400] from Operation: 74+1326=1400 Current State: 40:[35, 1400], Operations: ['39*34=1326', '74+1326=1400'] Exploring Operation: 1400/35=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 28, 81, 56 ]
78
[ "81-1=80", "56/28=2", "80-2=78" ]
Current State: 78:[1, 28, 81, 56], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [28, 56, 80] Generated Node #2: [28, 56, 80] from Operation: 81-1=80 Current State: 78:[28, 56, 80], Operations: ['81-1=80'] Exploring Operation: 56/28=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 56/28=2 Current State: 78:[80, 2], Operations: ['81-1=80', '56/28=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 77, 30, 25 ]
55
[ "5+30=35", "77*25=1925", "1925/35=55" ]
Current State: 55:[5, 77, 30, 25], Operations: [] Exploring Operation: 5+30=35, Resulting Numbers: [77, 25, 35] Generated Node #2: [77, 25, 35] from Operation: 5+30=35 Current State: 55:[77, 25, 35], Operations: ['5+30=35'] Exploring Operation: 77*25=1925, Resulting Numbers: [35, 1925] Generated Node #3: [35, 1925] from Operation: 77*25=1925 Current State: 55:[35, 1925], Operations: ['5+30=35', '77*25=1925'] Exploring Operation: 1925/35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 82, 12, 41, 29 ]
81
[ "41-12=29", "29/29=1", "82-1=81" ]
Current State: 81:[82, 12, 41, 29], Operations: [] Exploring Operation: 41-12=29, Resulting Numbers: [82, 29, 29] Generated Node #2: [82, 29, 29] from Operation: 41-12=29 Current State: 81:[82, 29, 29], Operations: ['41-12=29'] Exploring Operation: 29/29=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 29/29=1 Current State: 81:[82, 1], Operations: ['41-12=29', '29/29=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 30, 27, 24 ]
36
[ "84+24=108", "30-27=3", "108/3=36" ]
Current State: 36:[84, 30, 27, 24], Operations: [] Exploring Operation: 84+24=108, Resulting Numbers: [30, 27, 108] Generated Node #2: [30, 27, 108] from Operation: 84+24=108 Current State: 36:[30, 27, 108], Operations: ['84+24=108'] Exploring Operation: 30-27=3, Resulting Numbers: [108, 3] Generated Node #3: [108, 3] from Operation: 30-27=3 Current State: 36:[108, 3], Operations: ['84+24=108', '30-27=3'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 37, 81, 8 ]
71
[ "55-37=18", "81+8=89", "89-18=71" ]
Current State: 71:[55, 37, 81, 8], Operations: [] Exploring Operation: 55-37=18, Resulting Numbers: [81, 8, 18] Generated Node #2: [81, 8, 18] from Operation: 55-37=18 Current State: 71:[81, 8, 18], Operations: ['55-37=18'] Exploring Operation: 81+8=89, Resulting Numbers: [18, 89] Generated Node #3: [18, 89] from Operation: 81+8=89 Current State: 71:[18, 89], Operations: ['55-37=18', '81+8=89'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 7, 70, 19, 84 ]
77
[ "19-7=12", "84/12=7", "70+7=77" ]
Current State: 77:[7, 70, 19, 84], Operations: [] Exploring Operation: 19-7=12, Resulting Numbers: [70, 84, 12] Generated Node #2: [70, 84, 12] from Operation: 19-7=12 Current State: 77:[70, 84, 12], Operations: ['19-7=12'] Exploring Operation: 84/12=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 84/12=7 Current State: 77:[70, 7], Operations: ['19-7=12', '84/12=7'] Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 10, 24, 80 ]
62
[ "24/3=8", "80-10=70", "70-8=62" ]
Current State: 62:[3, 10, 24, 80], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [10, 80, 8] Generated Node #2: [10, 80, 8] from Operation: 24/3=8 Current State: 62:[10, 80, 8], Operations: ['24/3=8'] Exploring Operation: 80-10=70, Resulting Numbers: [8, 70] Generated Node #3: [8, 70] from Operation: 80-10=70 Current State: 62:[8, 70], Operations: ['24/3=8', '80-10=70'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 12, 44, 58 ]
17
[ "72/12=6", "44+58=102", "102/6=17" ]
Current State: 17:[72, 12, 44, 58], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [44, 58, 6] Generated Node #2: [44, 58, 6] from Operation: 72/12=6 Current State: 17:[44, 58, 6], Operations: ['72/12=6'] Exploring Operation: 44+58=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 44+58=102 Current State: 17:[6, 102], Operations: ['72/12=6', '44+58=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 25, 16, 49, 50 ]
35
[ "50/25=2", "49-16=33", "2+33=35" ]
Current State: 35:[25, 16, 49, 50], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [16, 49, 2] Generated Node #2: [16, 49, 2] from Operation: 50/25=2 Current State: 35:[16, 49, 2], Operations: ['50/25=2'] Exploring Operation: 49-16=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 49-16=33 Current State: 35:[2, 33], Operations: ['50/25=2', '49-16=33'] Exploring Operation: 2+33=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 76, 84, 45, 41 ]
94
[ "84-76=8", "45+41=86", "8+86=94" ]
Current State: 94:[76, 84, 45, 41], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [45, 41, 8] Generated Node #2: [45, 41, 8] from Operation: 84-76=8 Current State: 94:[45, 41, 8], Operations: ['84-76=8'] Exploring Operation: 45+41=86, Resulting Numbers: [8, 86] Generated Node #3: [8, 86] from Operation: 45+41=86 Current State: 94:[8, 86], Operations: ['84-76=8', '45+41=86'] Exploring Operation: 8+86=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 45, 23, 35, 40 ]
60
[ "45-40=5", "35-23=12", "5*12=60" ]
Current State: 60:[45, 23, 35, 40], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [23, 35, 5] Generated Node #2: [23, 35, 5] from Operation: 45-40=5 Current State: 60:[23, 35, 5], Operations: ['45-40=5'] Exploring Operation: 35-23=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 35-23=12 Current State: 60:[5, 12], Operations: ['45-40=5', '35-23=12'] Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 56, 40, 34, 36 ]
88
[ "56-34=22", "40-36=4", "22*4=88" ]
Current State: 88:[56, 40, 34, 36], Operations: [] Exploring Operation: 56-34=22, Resulting Numbers: [40, 36, 22] Generated Node #2: [40, 36, 22] from Operation: 56-34=22 Current State: 88:[40, 36, 22], Operations: ['56-34=22'] Exploring Operation: 40-36=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 40-36=4 Current State: 88:[22, 4], Operations: ['56-34=22', '40-36=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 33, 26, 78 ]
90
[ "33-3=30", "78/26=3", "30*3=90" ]
Current State: 90:[3, 33, 26, 78], Operations: [] Exploring Operation: 33-3=30, Resulting Numbers: [26, 78, 30] Generated Node #2: [26, 78, 30] from Operation: 33-3=30 Current State: 90:[26, 78, 30], Operations: ['33-3=30'] Exploring Operation: 78/26=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 78/26=3 Current State: 90:[30, 3], Operations: ['33-3=30', '78/26=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 33, 48, 15 ]
50
[ "48-33=15", "15/15=1", "49+1=50" ]
Current State: 50:[49, 33, 48, 15], Operations: [] Exploring Operation: 48-33=15, Resulting Numbers: [49, 15, 15] Generated Node #2: [49, 15, 15] from Operation: 48-33=15 Current State: 50:[49, 15, 15], Operations: ['48-33=15'] Exploring Operation: 15/15=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 15/15=1 Current State: 50:[49, 1], Operations: ['48-33=15', '15/15=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 82, 8, 8, 64 ]
78
[ "8+8=16", "64/16=4", "82-4=78" ]
Current State: 78:[82, 8, 8, 64], Operations: [] Exploring Operation: 8+8=16, Resulting Numbers: [82, 64, 16] Generated Node #2: [82, 64, 16] from Operation: 8+8=16 Current State: 78:[82, 64, 16], Operations: ['8+8=16'] Exploring Operation: 64/16=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 64/16=4 Current State: 78:[82, 4], Operations: ['8+8=16', '64/16=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 93, 70, 66 ]
20
[ "70/10=7", "93-66=27", "27-7=20" ]
Current State: 20:[10, 93, 70, 66], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [93, 66, 7] Generated Node #2: [93, 66, 7] from Operation: 70/10=7 Current State: 20:[93, 66, 7], Operations: ['70/10=7'] Exploring Operation: 93-66=27, Resulting Numbers: [7, 27] Generated Node #3: [7, 27] from Operation: 93-66=27 Current State: 20:[7, 27], Operations: ['70/10=7', '93-66=27'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 34, 67, 38 ]
61
[ "34+38=72", "72/12=6", "67-6=61" ]
Current State: 61:[12, 34, 67, 38], Operations: [] Exploring Operation: 34+38=72, Resulting Numbers: [12, 67, 72] Generated Node #2: [12, 67, 72] from Operation: 34+38=72 Current State: 61:[12, 67, 72], Operations: ['34+38=72'] Exploring Operation: 72/12=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 72/12=6 Current State: 61:[67, 6], Operations: ['34+38=72', '72/12=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 2, 20, 97 ]
67
[ "57-20=37", "97+37=134", "134/2=67" ]
Current State: 67:[57, 2, 20, 97], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [2, 97, 37] Generated Node #2: [2, 97, 37] from Operation: 57-20=37 Current State: 67:[2, 97, 37], Operations: ['57-20=37'] Exploring Operation: 97+37=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 97+37=134 Current State: 67:[2, 134], Operations: ['57-20=37', '97+37=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 34, 1, 42 ]
86
[ "36-34=2", "1+42=43", "2*43=86" ]
Current State: 86:[36, 34, 1, 42], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [1, 42, 2] Generated Node #2: [1, 42, 2] from Operation: 36-34=2 Current State: 86:[1, 42, 2], Operations: ['36-34=2'] Exploring Operation: 1+42=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 1+42=43 Current State: 86:[2, 43], Operations: ['36-34=2', '1+42=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 79, 70, 14, 44 ]
30
[ "79-44=35", "70/14=5", "35-5=30" ]
Current State: 30:[79, 70, 14, 44], Operations: [] Exploring Operation: 79-44=35, Resulting Numbers: [70, 14, 35] Generated Node #2: [70, 14, 35] from Operation: 79-44=35 Current State: 30:[70, 14, 35], Operations: ['79-44=35'] Exploring Operation: 70/14=5, Resulting Numbers: [35, 5] Generated Node #3: [35, 5] from Operation: 70/14=5 Current State: 30:[35, 5], Operations: ['79-44=35', '70/14=5'] Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 80, 94, 82, 54 ]
74
[ "82-80=2", "94+54=148", "148/2=74" ]
Current State: 74:[80, 94, 82, 54], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [94, 54, 2] Generated Node #2: [94, 54, 2] from Operation: 82-80=2 Current State: 74:[94, 54, 2], Operations: ['82-80=2'] Exploring Operation: 94+54=148, Resulting Numbers: [2, 148] Generated Node #3: [2, 148] from Operation: 94+54=148 Current State: 74:[2, 148], Operations: ['82-80=2', '94+54=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 25, 24, 26 ]
59
[ "85-26=59", "25-24=1", "59*1=59" ]
Current State: 59:[85, 25, 24, 26], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [25, 24, 59] Generated Node #2: [25, 24, 59] from Operation: 85-26=59 Current State: 59:[25, 24, 59], Operations: ['85-26=59'] Exploring Operation: 25-24=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 25-24=1 Current State: 59:[59, 1], Operations: ['85-26=59', '25-24=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 30, 6, 64 ]
97
[ "28+64=92", "30/6=5", "92+5=97" ]
Current State: 97:[28, 30, 6, 64], Operations: [] Exploring Operation: 28+64=92, Resulting Numbers: [30, 6, 92] Generated Node #2: [30, 6, 92] from Operation: 28+64=92 Current State: 97:[30, 6, 92], Operations: ['28+64=92'] Exploring Operation: 30/6=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 30/6=5 Current State: 97:[92, 5], Operations: ['28+64=92', '30/6=5'] Exploring Operation: 92+5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 93, 24, 65 ]
16
[ "93-24=69", "69-65=4", "4*4=16" ]
Current State: 16:[4, 93, 24, 65], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [4, 65, 69] Generated Node #2: [4, 65, 69] from Operation: 93-24=69 Current State: 16:[4, 65, 69], Operations: ['93-24=69'] Exploring Operation: 69-65=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 69-65=4 Current State: 16:[4, 4], Operations: ['93-24=69', '69-65=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 53, 97, 39 ]
10
[ "15+53=68", "97-39=58", "68-58=10" ]
Current State: 10:[15, 53, 97, 39], Operations: [] Exploring Operation: 15+53=68, Resulting Numbers: [97, 39, 68] Generated Node #2: [97, 39, 68] from Operation: 15+53=68 Current State: 10:[97, 39, 68], Operations: ['15+53=68'] Exploring Operation: 97-39=58, Resulting Numbers: [68, 58] Generated Node #3: [68, 58] from Operation: 97-39=58 Current State: 10:[68, 58], Operations: ['15+53=68', '97-39=58'] Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 26, 31, 41 ]
52
[ "46-26=20", "31+41=72", "72-20=52" ]
Current State: 52:[46, 26, 31, 41], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [31, 41, 20] Generated Node #2: [31, 41, 20] from Operation: 46-26=20 Current State: 52:[31, 41, 20], Operations: ['46-26=20'] Exploring Operation: 31+41=72, Resulting Numbers: [20, 72] Generated Node #3: [20, 72] from Operation: 31+41=72 Current State: 52:[20, 72], Operations: ['46-26=20', '31+41=72'] Exploring Operation: 72-20=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 97, 56, 48 ]
81
[ "56-53=3", "48/3=16", "97-16=81" ]
Current State: 81:[53, 97, 56, 48], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [97, 48, 3] Generated Node #2: [97, 48, 3] from Operation: 56-53=3 Current State: 81:[97, 48, 3], Operations: ['56-53=3'] Exploring Operation: 48/3=16, Resulting Numbers: [97, 16] Generated Node #3: [97, 16] from Operation: 48/3=16 Current State: 81:[97, 16], Operations: ['56-53=3', '48/3=16'] Exploring Operation: 97-16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 60, 7, 93, 68 ]
78
[ "60-7=53", "93-68=25", "53+25=78" ]
Current State: 78:[60, 7, 93, 68], Operations: [] Exploring Operation: 60-7=53, Resulting Numbers: [93, 68, 53] Generated Node #2: [93, 68, 53] from Operation: 60-7=53 Current State: 78:[93, 68, 53], Operations: ['60-7=53'] Exploring Operation: 93-68=25, Resulting Numbers: [53, 25] Generated Node #3: [53, 25] from Operation: 93-68=25 Current State: 78:[53, 25], Operations: ['60-7=53', '93-68=25'] Exploring Operation: 53+25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 52, 2, 2 ]
31
[ "52-20=32", "2/2=1", "32-1=31" ]
Current State: 31:[20, 52, 2, 2], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [2, 2, 32] Generated Node #2: [2, 2, 32] from Operation: 52-20=32 Current State: 31:[2, 2, 32], Operations: ['52-20=32'] Exploring Operation: 2/2=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 2/2=1 Current State: 31:[32, 1], Operations: ['52-20=32', '2/2=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 32, 28, 10 ]
46
[ "32-28=4", "10*4=40", "6+40=46" ]
Current State: 46:[6, 32, 28, 10], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [6, 10, 4] Generated Node #2: [6, 10, 4] from Operation: 32-28=4 Current State: 46:[6, 10, 4], Operations: ['32-28=4'] Exploring Operation: 10*4=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 10*4=40 Current State: 46:[6, 40], Operations: ['32-28=4', '10*4=40'] Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 68, 3, 23, 59 ]
74
[ "68-23=45", "45/3=15", "59+15=74" ]
Current State: 74:[68, 3, 23, 59], Operations: [] Exploring Operation: 68-23=45, Resulting Numbers: [3, 59, 45] Generated Node #2: [3, 59, 45] from Operation: 68-23=45 Current State: 74:[3, 59, 45], Operations: ['68-23=45'] Exploring Operation: 45/3=15, Resulting Numbers: [59, 15] Generated Node #3: [59, 15] from Operation: 45/3=15 Current State: 74:[59, 15], Operations: ['68-23=45', '45/3=15'] Exploring Operation: 59+15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 22, 12, 90, 48 ]
32
[ "22-12=10", "90-48=42", "42-10=32" ]
Current State: 32:[22, 12, 90, 48], Operations: [] Exploring Operation: 22-12=10, Resulting Numbers: [90, 48, 10] Generated Node #2: [90, 48, 10] from Operation: 22-12=10 Current State: 32:[90, 48, 10], Operations: ['22-12=10'] Exploring Operation: 90-48=42, Resulting Numbers: [10, 42] Generated Node #3: [10, 42] from Operation: 90-48=42 Current State: 32:[10, 42], Operations: ['22-12=10', '90-48=42'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 33, 63, 16 ]
34
[ "4*16=64", "63-33=30", "64-30=34" ]
Current State: 34:[4, 33, 63, 16], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [33, 63, 64] Generated Node #2: [33, 63, 64] from Operation: 4*16=64 Current State: 34:[33, 63, 64], Operations: ['4*16=64'] Exploring Operation: 63-33=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 63-33=30 Current State: 34:[64, 30], Operations: ['4*16=64', '63-33=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 42, 43, 67, 30 ]
96
[ "43-42=1", "67+30=97", "97-1=96" ]
Current State: 96:[42, 43, 67, 30], Operations: [] Exploring Operation: 43-42=1, Resulting Numbers: [67, 30, 1] Generated Node #2: [67, 30, 1] from Operation: 43-42=1 Current State: 96:[67, 30, 1], Operations: ['43-42=1'] Exploring Operation: 67+30=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 67+30=97 Current State: 96:[1, 97], Operations: ['43-42=1', '67+30=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 50, 25, 39, 88 ]
24
[ "50-25=25", "88-39=49", "49-25=24" ]
Current State: 24:[50, 25, 39, 88], Operations: [] Exploring Operation: 50-25=25, Resulting Numbers: [39, 88, 25] Generated Node #2: [39, 88, 25] from Operation: 50-25=25 Current State: 24:[39, 88, 25], Operations: ['50-25=25'] Exploring Operation: 88-39=49, Resulting Numbers: [25, 49] Generated Node #3: [25, 49] from Operation: 88-39=49 Current State: 24:[25, 49], Operations: ['50-25=25', '88-39=49'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4