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
[ 6, 50, 10, 53 ]
36
[ "53-50=3", "10*3=30", "6+30=36" ]
Current State: 36:[6, 50, 10, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [6, 10, 3] Generated Node #2: [6, 10, 3] from Operation: 53-50=3 Current State: 36:[6, 10, 3], Operations: ['53-50=3'] Exploring Operation: 10*3=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 10*3=30 Current State: 36:[6, 30], Operations: ['53-50=3', '10*3=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 70, 74, 12 ]
17
[ "80-12=68", "74-70=4", "68/4=17" ]
Current State: 17:[80, 70, 74, 12], Operations: [] Exploring Operation: 80-12=68, Resulting Numbers: [70, 74, 68] Generated Node #2: [70, 74, 68] from Operation: 80-12=68 Current State: 17:[70, 74, 68], Operations: ['80-12=68'] Exploring Operation: 74-70=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 74-70=4 Current State: 17:[68, 4], Operations: ['80-12=68', '74-70=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 90, 21, 7 ]
70
[ "90-59=31", "31-21=10", "7*10=70" ]
Current State: 70:[59, 90, 21, 7], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [21, 7, 31] Generated Node #2: [21, 7, 31] from Operation: 90-59=31 Current State: 70:[21, 7, 31], Operations: ['90-59=31'] Exploring Operation: 31-21=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 31-21=10 Current State: 70:[7, 10], Operations: ['90-59=31', '31-21=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 37, 64, 68 ]
16
[ "57-37=20", "68-64=4", "20-4=16" ]
Current State: 16:[57, 37, 64, 68], Operations: [] Exploring Operation: 57-37=20, Resulting Numbers: [64, 68, 20] Generated Node #2: [64, 68, 20] from Operation: 57-37=20 Current State: 16:[64, 68, 20], Operations: ['57-37=20'] Exploring Operation: 68-64=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 68-64=4 Current State: 16:[20, 4], Operations: ['57-37=20', '68-64=4'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 99, 12, 98 ]
19
[ "99-32=67", "98-12=86", "86-67=19" ]
Current State: 19:[32, 99, 12, 98], Operations: [] Exploring Operation: 99-32=67, Resulting Numbers: [12, 98, 67] Generated Node #2: [12, 98, 67] from Operation: 99-32=67 Current State: 19:[12, 98, 67], Operations: ['99-32=67'] Exploring Operation: 98-12=86, Resulting Numbers: [67, 86] Generated Node #3: [67, 86] from Operation: 98-12=86 Current State: 19:[67, 86], Operations: ['99-32=67', '98-12=86'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 12, 47, 60 ]
33
[ "58-12=46", "60-47=13", "46-13=33" ]
Current State: 33:[58, 12, 47, 60], Operations: [] Exploring Operation: 58-12=46, Resulting Numbers: [47, 60, 46] Generated Node #2: [47, 60, 46] from Operation: 58-12=46 Current State: 33:[47, 60, 46], Operations: ['58-12=46'] Exploring Operation: 60-47=13, Resulting Numbers: [46, 13] Generated Node #3: [46, 13] from Operation: 60-47=13 Current State: 33:[46, 13], Operations: ['58-12=46', '60-47=13'] Exploring Operation: 46-13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 83, 83, 26, 90 ]
99
[ "90-83=7", "26*7=182", "182-83=99" ]
Current State: 99:[83, 83, 26, 90], Operations: [] Exploring Operation: 90-83=7, Resulting Numbers: [26, 7] Generated Node #2: [26, 7] from Operation: 90-83=7 Current State: 99:[26, 7], Operations: ['90-83=7'] Exploring Operation: 26*7=182, Resulting Numbers: [182] 182,99 equal: Goal Reached Exploring Operation: 182-83=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 21, 38, 83, 45 ]
55
[ "38-21=17", "83-45=38", "17+38=55" ]
Current State: 55:[21, 38, 83, 45], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [83, 45, 17] Generated Node #2: [83, 45, 17] from Operation: 38-21=17 Current State: 55:[83, 45, 17], Operations: ['38-21=17'] Exploring Operation: 83-45=38, Resulting Numbers: [17, 38] Generated Node #3: [17, 38] from Operation: 83-45=38 Current State: 55:[17, 38], Operations: ['38-21=17', '83-45=38'] Exploring Operation: 17+38=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 59, 90, 77, 70 ]
97
[ "70-59=11", "77/11=7", "90+7=97" ]
Current State: 97:[59, 90, 77, 70], Operations: [] Exploring Operation: 70-59=11, Resulting Numbers: [90, 77, 11] Generated Node #2: [90, 77, 11] from Operation: 70-59=11 Current State: 97:[90, 77, 11], Operations: ['70-59=11'] Exploring Operation: 77/11=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 77/11=7 Current State: 97:[90, 7], Operations: ['70-59=11', '77/11=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 47, 97, 16 ]
80
[ "4*16=64", "47+97=144", "144-64=80" ]
Current State: 80:[4, 47, 97, 16], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [47, 97, 64] Generated Node #2: [47, 97, 64] from Operation: 4*16=64 Current State: 80:[47, 97, 64], Operations: ['4*16=64'] Exploring Operation: 47+97=144, Resulting Numbers: [64, 144] Generated Node #3: [64, 144] from Operation: 47+97=144 Current State: 80:[64, 144], Operations: ['4*16=64', '47+97=144'] Exploring Operation: 144-64=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 86, 24, 80, 64 ]
92
[ "80+64=144", "144/24=6", "86+6=92" ]
Current State: 92:[86, 24, 80, 64], Operations: [] Exploring Operation: 80+64=144, Resulting Numbers: [86, 24, 144] Generated Node #2: [86, 24, 144] from Operation: 80+64=144 Current State: 92:[86, 24, 144], Operations: ['80+64=144'] Exploring Operation: 144/24=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 144/24=6 Current State: 92:[86, 6], Operations: ['80+64=144', '144/24=6'] Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 90, 50, 40, 99 ]
10
[ "99-90=9", "50+40=90", "90/9=10" ]
Current State: 10:[90, 50, 40, 99], Operations: [] Exploring Operation: 99-90=9, Resulting Numbers: [50, 40, 9] Generated Node #2: [50, 40, 9] from Operation: 99-90=9 Current State: 10:[50, 40, 9], Operations: ['99-90=9'] Exploring Operation: 50+40=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 50+40=90 Current State: 10:[9, 90], Operations: ['99-90=9', '50+40=90'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 36, 31, 34, 8 ]
93
[ "36+31=67", "34-8=26", "67+26=93" ]
Current State: 93:[36, 31, 34, 8], Operations: [] Exploring Operation: 36+31=67, Resulting Numbers: [34, 8, 67] Generated Node #2: [34, 8, 67] from Operation: 36+31=67 Current State: 93:[34, 8, 67], Operations: ['36+31=67'] Exploring Operation: 34-8=26, Resulting Numbers: [67, 26] Generated Node #3: [67, 26] from Operation: 34-8=26 Current State: 93:[67, 26], Operations: ['36+31=67', '34-8=26'] Exploring Operation: 67+26=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 56, 25, 51, 18 ]
64
[ "56-25=31", "51-18=33", "31+33=64" ]
Current State: 64:[56, 25, 51, 18], Operations: [] Exploring Operation: 56-25=31, Resulting Numbers: [51, 18, 31] Generated Node #2: [51, 18, 31] from Operation: 56-25=31 Current State: 64:[51, 18, 31], Operations: ['56-25=31'] Exploring Operation: 51-18=33, Resulting Numbers: [31, 33] Generated Node #3: [31, 33] from Operation: 51-18=33 Current State: 64:[31, 33], Operations: ['56-25=31', '51-18=33'] Exploring Operation: 31+33=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 27, 12, 3, 51 ]
96
[ "27-12=15", "3*15=45", "51+45=96" ]
Current State: 96:[27, 12, 3, 51], Operations: [] Exploring Operation: 27-12=15, Resulting Numbers: [3, 51, 15] Generated Node #2: [3, 51, 15] from Operation: 27-12=15 Current State: 96:[3, 51, 15], Operations: ['27-12=15'] Exploring Operation: 3*15=45, Resulting Numbers: [51, 45] Generated Node #3: [51, 45] from Operation: 3*15=45 Current State: 96:[51, 45], Operations: ['27-12=15', '3*15=45'] Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 16, 39, 30 ]
72
[ "16/2=8", "39-30=9", "8*9=72" ]
Current State: 72:[2, 16, 39, 30], Operations: [] Exploring Operation: 16/2=8, Resulting Numbers: [39, 30, 8] Generated Node #2: [39, 30, 8] from Operation: 16/2=8 Current State: 72:[39, 30, 8], Operations: ['16/2=8'] Exploring Operation: 39-30=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 39-30=9 Current State: 72:[8, 9], Operations: ['16/2=8', '39-30=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 64, 21, 39 ]
21
[ "64-24=40", "40-39=1", "21*1=21" ]
Current State: 21:[24, 64, 21, 39], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [21, 39, 40] Generated Node #2: [21, 39, 40] from Operation: 64-24=40 Current State: 21:[21, 39, 40], Operations: ['64-24=40'] Exploring Operation: 40-39=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 40-39=1 Current State: 21:[21, 1], Operations: ['64-24=40', '40-39=1'] Exploring Operation: 21*1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 84, 98, 44, 51 ]
87
[ "84+98=182", "44+51=95", "182-95=87" ]
Current State: 87:[84, 98, 44, 51], Operations: [] Exploring Operation: 84+98=182, Resulting Numbers: [44, 51, 182] Generated Node #2: [44, 51, 182] from Operation: 84+98=182 Current State: 87:[44, 51, 182], Operations: ['84+98=182'] Exploring Operation: 44+51=95, Resulting Numbers: [182, 95] Generated Node #3: [182, 95] from Operation: 44+51=95 Current State: 87:[182, 95], Operations: ['84+98=182', '44+51=95'] Exploring Operation: 182-95=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 79, 5, 17, 11 ]
79
[ "17-5=12", "12-11=1", "79*1=79" ]
Current State: 79:[79, 5, 17, 11], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [79, 11, 12] Generated Node #2: [79, 11, 12] from Operation: 17-5=12 Current State: 79:[79, 11, 12], Operations: ['17-5=12'] Exploring Operation: 12-11=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 12-11=1 Current State: 79:[79, 1], Operations: ['17-5=12', '12-11=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 8, 27, 77 ]
60
[ "2+8=10", "77-27=50", "10+50=60" ]
Current State: 60:[2, 8, 27, 77], Operations: [] Exploring Operation: 2+8=10, Resulting Numbers: [27, 77, 10] Generated Node #2: [27, 77, 10] from Operation: 2+8=10 Current State: 60:[27, 77, 10], Operations: ['2+8=10'] Exploring Operation: 77-27=50, Resulting Numbers: [10, 50] Generated Node #3: [10, 50] from Operation: 77-27=50 Current State: 60:[10, 50], Operations: ['2+8=10', '77-27=50'] Exploring Operation: 10+50=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 55, 32, 69 ]
70
[ "88-55=33", "69-32=37", "33+37=70" ]
Current State: 70:[88, 55, 32, 69], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [32, 69, 33] Generated Node #2: [32, 69, 33] from Operation: 88-55=33 Current State: 70:[32, 69, 33], Operations: ['88-55=33'] Exploring Operation: 69-32=37, Resulting Numbers: [33, 37] Generated Node #3: [33, 37] from Operation: 69-32=37 Current State: 70:[33, 37], Operations: ['88-55=33', '69-32=37'] Exploring Operation: 33+37=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 72, 5, 32 ]
22
[ "77-72=5", "32-5=27", "27-5=22" ]
Current State: 22:[77, 72, 5, 32], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [5, 32, 5] Generated Node #2: [5, 32, 5] from Operation: 77-72=5 Current State: 22:[5, 32, 5], Operations: ['77-72=5'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,22 equal: Goal Reached Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 39, 38, 44 ]
36
[ "34+44=78", "78/39=2", "38-2=36" ]
Current State: 36:[34, 39, 38, 44], Operations: [] Exploring Operation: 34+44=78, Resulting Numbers: [39, 38, 78] Generated Node #2: [39, 38, 78] from Operation: 34+44=78 Current State: 36:[39, 38, 78], Operations: ['34+44=78'] Exploring Operation: 78/39=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 78/39=2 Current State: 36:[38, 2], Operations: ['34+44=78', '78/39=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 90, 66, 81 ]
36
[ "59*90=5310", "66*81=5346", "5346-5310=36" ]
Current State: 36:[59, 90, 66, 81], Operations: [] Exploring Operation: 59*90=5310, Resulting Numbers: [66, 81, 5310] Generated Node #2: [66, 81, 5310] from Operation: 59*90=5310 Current State: 36:[66, 81, 5310], Operations: ['59*90=5310'] Exploring Operation: 66*81=5346, Resulting Numbers: [5310, 5346] Generated Node #3: [5310, 5346] from Operation: 66*81=5346 Current State: 36:[5310, 5346], Operations: ['59*90=5310', '66*81=5346'] Exploring Operation: 5346-5310=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 86, 68, 34 ]
48
[ "86*34=2924", "2924/68=43", "5+43=48" ]
Current State: 48:[5, 86, 68, 34], Operations: [] Exploring Operation: 86*34=2924, Resulting Numbers: [5, 68, 2924] Generated Node #2: [5, 68, 2924] from Operation: 86*34=2924 Current State: 48:[5, 68, 2924], Operations: ['86*34=2924'] Exploring Operation: 2924/68=43, Resulting Numbers: [5, 43] Generated Node #3: [5, 43] from Operation: 2924/68=43 Current State: 48:[5, 43], Operations: ['86*34=2924', '2924/68=43'] Exploring Operation: 5+43=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 11, 10, 16 ]
91
[ "35-16=19", "11*10=110", "110-19=91" ]
Current State: 91:[35, 11, 10, 16], Operations: [] Exploring Operation: 35-16=19, Resulting Numbers: [11, 10, 19] Generated Node #2: [11, 10, 19] from Operation: 35-16=19 Current State: 91:[11, 10, 19], Operations: ['35-16=19'] Exploring Operation: 11*10=110, Resulting Numbers: [19, 110] Generated Node #3: [19, 110] from Operation: 11*10=110 Current State: 91:[19, 110], Operations: ['35-16=19', '11*10=110'] Exploring Operation: 110-19=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 22, 61, 52, 31 ]
44
[ "61-22=39", "52+31=83", "83-39=44" ]
Current State: 44:[22, 61, 52, 31], Operations: [] Exploring Operation: 61-22=39, Resulting Numbers: [52, 31, 39] Generated Node #2: [52, 31, 39] from Operation: 61-22=39 Current State: 44:[52, 31, 39], Operations: ['61-22=39'] Exploring Operation: 52+31=83, Resulting Numbers: [39, 83] Generated Node #3: [39, 83] from Operation: 52+31=83 Current State: 44:[39, 83], Operations: ['61-22=39', '52+31=83'] Exploring Operation: 83-39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 42, 37, 90, 99 ]
81
[ "42-37=5", "90/5=18", "99-18=81" ]
Current State: 81:[42, 37, 90, 99], Operations: [] Exploring Operation: 42-37=5, Resulting Numbers: [90, 99, 5] Generated Node #2: [90, 99, 5] from Operation: 42-37=5 Current State: 81:[90, 99, 5], Operations: ['42-37=5'] Exploring Operation: 90/5=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 90/5=18 Current State: 81:[99, 18], Operations: ['42-37=5', '90/5=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 95, 68, 10, 2 ]
31
[ "95+10=105", "68*2=136", "136-105=31" ]
Current State: 31:[95, 68, 10, 2], Operations: [] Exploring Operation: 95+10=105, Resulting Numbers: [68, 2, 105] Generated Node #2: [68, 2, 105] from Operation: 95+10=105 Current State: 31:[68, 2, 105], Operations: ['95+10=105'] Exploring Operation: 68*2=136, Resulting Numbers: [105, 136] Generated Node #3: [105, 136] from Operation: 68*2=136 Current State: 31:[105, 136], Operations: ['95+10=105', '68*2=136'] Exploring Operation: 136-105=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 33, 67, 65 ]
89
[ "54+33=87", "67-65=2", "87+2=89" ]
Current State: 89:[54, 33, 67, 65], Operations: [] Exploring Operation: 54+33=87, Resulting Numbers: [67, 65, 87] Generated Node #2: [67, 65, 87] from Operation: 54+33=87 Current State: 89:[67, 65, 87], Operations: ['54+33=87'] Exploring Operation: 67-65=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 67-65=2 Current State: 89:[87, 2], Operations: ['54+33=87', '67-65=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 61, 97, 29 ]
14
[ "61-7=54", "97-29=68", "68-54=14" ]
Current State: 14:[7, 61, 97, 29], Operations: [] Exploring Operation: 61-7=54, Resulting Numbers: [97, 29, 54] Generated Node #2: [97, 29, 54] from Operation: 61-7=54 Current State: 14:[97, 29, 54], Operations: ['61-7=54'] Exploring Operation: 97-29=68, Resulting Numbers: [54, 68] Generated Node #3: [54, 68] from Operation: 97-29=68 Current State: 14:[54, 68], Operations: ['61-7=54', '97-29=68'] Exploring Operation: 68-54=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 16, 27, 81 ]
39
[ "69*27=1863", "1863/81=23", "16+23=39" ]
Current State: 39:[69, 16, 27, 81], Operations: [] Exploring Operation: 69*27=1863, Resulting Numbers: [16, 81, 1863] Generated Node #2: [16, 81, 1863] from Operation: 69*27=1863 Current State: 39:[16, 81, 1863], Operations: ['69*27=1863'] Exploring Operation: 1863/81=23, Resulting Numbers: [16, 23] Generated Node #3: [16, 23] from Operation: 1863/81=23 Current State: 39:[16, 23], Operations: ['69*27=1863', '1863/81=23'] Exploring Operation: 16+23=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 69, 23, 71, 23 ]
91
[ "69/23=3", "71+23=94", "94-3=91" ]
Current State: 91:[69, 23, 71, 23], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [71, 3] Generated Node #2: [71, 3] from Operation: 69/23=3 Current State: 91:[71, 3], Operations: ['69/23=3'] Exploring Operation: 71+23=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 71+23=94 Current State: 91:[3, 94], Operations: ['69/23=3', '71+23=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 12, 59, 9 ]
82
[ "59-33=26", "12*9=108", "108-26=82" ]
Current State: 82:[33, 12, 59, 9], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [12, 9, 26] Generated Node #2: [12, 9, 26] from Operation: 59-33=26 Current State: 82:[12, 9, 26], Operations: ['59-33=26'] Exploring Operation: 12*9=108, Resulting Numbers: [26, 108] Generated Node #3: [26, 108] from Operation: 12*9=108 Current State: 82:[26, 108], Operations: ['59-33=26', '12*9=108'] Exploring Operation: 108-26=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 17, 76, 44, 11 ]
67
[ "17*11=187", "76+44=120", "187-120=67" ]
Current State: 67:[17, 76, 44, 11], Operations: [] Exploring Operation: 17*11=187, Resulting Numbers: [76, 44, 187] Generated Node #2: [76, 44, 187] from Operation: 17*11=187 Current State: 67:[76, 44, 187], Operations: ['17*11=187'] Exploring Operation: 76+44=120, Resulting Numbers: [187, 120] Generated Node #3: [187, 120] from Operation: 76+44=120 Current State: 67:[187, 120], Operations: ['17*11=187', '76+44=120'] Exploring Operation: 187-120=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 28, 62, 81 ]
37
[ "28-10=18", "81-62=19", "18+19=37" ]
Current State: 37:[10, 28, 62, 81], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [62, 81, 18] Generated Node #2: [62, 81, 18] from Operation: 28-10=18 Current State: 37:[62, 81, 18], Operations: ['28-10=18'] Exploring Operation: 81-62=19, Resulting Numbers: [18, 19] Generated Node #3: [18, 19] from Operation: 81-62=19 Current State: 37:[18, 19], Operations: ['28-10=18', '81-62=19'] Exploring Operation: 18+19=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 98, 66, 84, 96 ]
36
[ "98-96=2", "84-66=18", "2*18=36" ]
Current State: 36:[98, 66, 84, 96], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [66, 84, 2] Generated Node #2: [66, 84, 2] from Operation: 98-96=2 Current State: 36:[66, 84, 2], Operations: ['98-96=2'] Exploring Operation: 84-66=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 84-66=18 Current State: 36:[2, 18], Operations: ['98-96=2', '84-66=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 99, 20, 6, 8 ]
97
[ "20-8=12", "12/6=2", "99-2=97" ]
Current State: 97:[99, 20, 6, 8], Operations: [] Exploring Operation: 20-8=12, Resulting Numbers: [99, 6, 12] Generated Node #2: [99, 6, 12] from Operation: 20-8=12 Current State: 97:[99, 6, 12], Operations: ['20-8=12'] Exploring Operation: 12/6=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 12/6=2 Current State: 97:[99, 2], Operations: ['20-8=12', '12/6=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 98, 91, 18, 3 ]
69
[ "98+91=189", "18+189=207", "207/3=69" ]
Current State: 69:[98, 91, 18, 3], Operations: [] Exploring Operation: 98+91=189, Resulting Numbers: [18, 3, 189] Generated Node #2: [18, 3, 189] from Operation: 98+91=189 Current State: 69:[18, 3, 189], Operations: ['98+91=189'] Exploring Operation: 18+189=207, Resulting Numbers: [3, 207] Generated Node #3: [3, 207] from Operation: 18+189=207 Current State: 69:[3, 207], Operations: ['98+91=189', '18+189=207'] Exploring Operation: 207/3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 48, 8, 28 ]
20
[ "22+48=70", "8*70=560", "560/28=20" ]
Current State: 20:[22, 48, 8, 28], Operations: [] Exploring Operation: 22+48=70, Resulting Numbers: [8, 28, 70] Generated Node #2: [8, 28, 70] from Operation: 22+48=70 Current State: 20:[8, 28, 70], Operations: ['22+48=70'] Exploring Operation: 8*70=560, Resulting Numbers: [28, 560] Generated Node #3: [28, 560] from Operation: 8*70=560 Current State: 20:[28, 560], Operations: ['22+48=70', '8*70=560'] Exploring Operation: 560/28=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 77, 39, 31 ]
93
[ "8+77=85", "39-31=8", "85+8=93" ]
Current State: 93:[8, 77, 39, 31], Operations: [] Exploring Operation: 8+77=85, Resulting Numbers: [39, 31, 85] Generated Node #2: [39, 31, 85] from Operation: 8+77=85 Current State: 93:[39, 31, 85], Operations: ['8+77=85'] Exploring Operation: 39-31=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 39-31=8 Current State: 93:[85, 8], Operations: ['8+77=85', '39-31=8'] Exploring Operation: 85+8=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 1, 92, 35 ]
74
[ "1+35=36", "36/2=18", "92-18=74" ]
Current State: 74:[2, 1, 92, 35], Operations: [] Exploring Operation: 1+35=36, Resulting Numbers: [2, 92, 36] Generated Node #2: [2, 92, 36] from Operation: 1+35=36 Current State: 74:[2, 92, 36], Operations: ['1+35=36'] Exploring Operation: 36/2=18, Resulting Numbers: [92, 18] Generated Node #3: [92, 18] from Operation: 36/2=18 Current State: 74:[92, 18], Operations: ['1+35=36', '36/2=18'] Exploring Operation: 92-18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 20, 11, 42, 19 ]
82
[ "20*19=380", "11*42=462", "462-380=82" ]
Current State: 82:[20, 11, 42, 19], Operations: [] Exploring Operation: 20*19=380, Resulting Numbers: [11, 42, 380] Generated Node #2: [11, 42, 380] from Operation: 20*19=380 Current State: 82:[11, 42, 380], Operations: ['20*19=380'] Exploring Operation: 11*42=462, Resulting Numbers: [380, 462] Generated Node #3: [380, 462] from Operation: 11*42=462 Current State: 82:[380, 462], Operations: ['20*19=380', '11*42=462'] Exploring Operation: 462-380=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 80, 13, 15 ]
43
[ "80-65=15", "13+15=28", "15+28=43" ]
Current State: 43:[65, 80, 13, 15], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [13, 15, 15] Generated Node #2: [13, 15, 15] from Operation: 80-65=15 Current State: 43:[13, 15, 15], Operations: ['80-65=15'] Exploring Operation: 13+15=28, Resulting Numbers: [28] 28,43 equal: Goal Reached Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 18, 70, 51, 14 ]
62
[ "18*51=918", "70*14=980", "980-918=62" ]
Current State: 62:[18, 70, 51, 14], Operations: [] Exploring Operation: 18*51=918, Resulting Numbers: [70, 14, 918] Generated Node #2: [70, 14, 918] from Operation: 18*51=918 Current State: 62:[70, 14, 918], Operations: ['18*51=918'] Exploring Operation: 70*14=980, Resulting Numbers: [918, 980] Generated Node #3: [918, 980] from Operation: 70*14=980 Current State: 62:[918, 980], Operations: ['18*51=918', '70*14=980'] Exploring Operation: 980-918=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 20, 55, 18 ]
61
[ "20-18=2", "12/2=6", "55+6=61" ]
Current State: 61:[12, 20, 55, 18], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [12, 55, 2] Generated Node #2: [12, 55, 2] from Operation: 20-18=2 Current State: 61:[12, 55, 2], Operations: ['20-18=2'] Exploring Operation: 12/2=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 12/2=6 Current State: 61:[55, 6], Operations: ['20-18=2', '12/2=6'] Exploring Operation: 55+6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 91, 48, 76 ]
23
[ "3*48=144", "91+76=167", "167-144=23" ]
Current State: 23:[3, 91, 48, 76], Operations: [] Exploring Operation: 3*48=144, Resulting Numbers: [91, 76, 144] Generated Node #2: [91, 76, 144] from Operation: 3*48=144 Current State: 23:[91, 76, 144], Operations: ['3*48=144'] Exploring Operation: 91+76=167, Resulting Numbers: [144, 167] Generated Node #3: [144, 167] from Operation: 91+76=167 Current State: 23:[144, 167], Operations: ['3*48=144', '91+76=167'] Exploring Operation: 167-144=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 70, 96, 12, 15 ]
18
[ "96-12=84", "15*84=1260", "1260/70=18" ]
Current State: 18:[70, 96, 12, 15], Operations: [] Exploring Operation: 96-12=84, Resulting Numbers: [70, 15, 84] Generated Node #2: [70, 15, 84] from Operation: 96-12=84 Current State: 18:[70, 15, 84], Operations: ['96-12=84'] Exploring Operation: 15*84=1260, Resulting Numbers: [70, 1260] Generated Node #3: [70, 1260] from Operation: 15*84=1260 Current State: 18:[70, 1260], Operations: ['96-12=84', '15*84=1260'] Exploring Operation: 1260/70=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 75, 4, 22, 39 ]
54
[ "75-4=71", "39-22=17", "71-17=54" ]
Current State: 54:[75, 4, 22, 39], Operations: [] Exploring Operation: 75-4=71, Resulting Numbers: [22, 39, 71] Generated Node #2: [22, 39, 71] from Operation: 75-4=71 Current State: 54:[22, 39, 71], Operations: ['75-4=71'] Exploring Operation: 39-22=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 39-22=17 Current State: 54:[71, 17], Operations: ['75-4=71', '39-22=17'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 89, 10, 15 ]
61
[ "10+15=25", "6*25=150", "150-89=61" ]
Current State: 61:[6, 89, 10, 15], Operations: [] Exploring Operation: 10+15=25, Resulting Numbers: [6, 89, 25] Generated Node #2: [6, 89, 25] from Operation: 10+15=25 Current State: 61:[6, 89, 25], Operations: ['10+15=25'] Exploring Operation: 6*25=150, Resulting Numbers: [89, 150] Generated Node #3: [89, 150] from Operation: 6*25=150 Current State: 61:[89, 150], Operations: ['10+15=25', '6*25=150'] Exploring Operation: 150-89=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 64, 67, 8, 47 ]
23
[ "67-64=3", "8*3=24", "47-24=23" ]
Current State: 23:[64, 67, 8, 47], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [8, 47, 3] Generated Node #2: [8, 47, 3] from Operation: 67-64=3 Current State: 23:[8, 47, 3], Operations: ['67-64=3'] Exploring Operation: 8*3=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 8*3=24 Current State: 23:[47, 24], Operations: ['67-64=3', '8*3=24'] Exploring Operation: 47-24=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 17, 61, 78, 85 ]
37
[ "61-17=44", "85-78=7", "44-7=37" ]
Current State: 37:[17, 61, 78, 85], Operations: [] Exploring Operation: 61-17=44, Resulting Numbers: [78, 85, 44] Generated Node #2: [78, 85, 44] from Operation: 61-17=44 Current State: 37:[78, 85, 44], Operations: ['61-17=44'] Exploring Operation: 85-78=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 85-78=7 Current State: 37:[44, 7], Operations: ['61-17=44', '85-78=7'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 24, 28, 64, 29 ]
41
[ "24+28=52", "64+29=93", "93-52=41" ]
Current State: 41:[24, 28, 64, 29], Operations: [] Exploring Operation: 24+28=52, Resulting Numbers: [64, 29, 52] Generated Node #2: [64, 29, 52] from Operation: 24+28=52 Current State: 41:[64, 29, 52], Operations: ['24+28=52'] Exploring Operation: 64+29=93, Resulting Numbers: [52, 93] Generated Node #3: [52, 93] from Operation: 64+29=93 Current State: 41:[52, 93], Operations: ['24+28=52', '64+29=93'] Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 43, 68, 2 ]
20
[ "38+68=106", "43*2=86", "106-86=20" ]
Current State: 20:[38, 43, 68, 2], Operations: [] Exploring Operation: 38+68=106, Resulting Numbers: [43, 2, 106] Generated Node #2: [43, 2, 106] from Operation: 38+68=106 Current State: 20:[43, 2, 106], Operations: ['38+68=106'] Exploring Operation: 43*2=86, Resulting Numbers: [106, 86] Generated Node #3: [106, 86] from Operation: 43*2=86 Current State: 20:[106, 86], Operations: ['38+68=106', '43*2=86'] Exploring Operation: 106-86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 34, 9, 32 ]
46
[ "34-32=2", "32-9=23", "2*23=46" ]
Current State: 46:[32, 34, 9, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [9, 2] Generated Node #2: [9, 2] from Operation: 34-32=2 Current State: 46:[9, 2], Operations: ['34-32=2'] Exploring Operation: 32-9=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 32-9=23 Current State: 46:[2, 23], Operations: ['34-32=2', '32-9=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 19, 80, 5 ]
71
[ "34*5=170", "19+80=99", "170-99=71" ]
Current State: 71:[34, 19, 80, 5], Operations: [] Exploring Operation: 34*5=170, Resulting Numbers: [19, 80, 170] Generated Node #2: [19, 80, 170] from Operation: 34*5=170 Current State: 71:[19, 80, 170], Operations: ['34*5=170'] Exploring Operation: 19+80=99, Resulting Numbers: [170, 99] Generated Node #3: [170, 99] from Operation: 19+80=99 Current State: 71:[170, 99], Operations: ['34*5=170', '19+80=99'] Exploring Operation: 170-99=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 23, 21, 44, 89 ]
43
[ "23-21=2", "89-44=45", "45-2=43" ]
Current State: 43:[23, 21, 44, 89], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [44, 89, 2] Generated Node #2: [44, 89, 2] from Operation: 23-21=2 Current State: 43:[44, 89, 2], Operations: ['23-21=2'] Exploring Operation: 89-44=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 89-44=45 Current State: 43:[2, 45], Operations: ['23-21=2', '89-44=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 31, 66, 31 ]
66
[ "31-31=0", "74*0=0", "66+0=66" ]
Current State: 66:[74, 31, 66, 31], Operations: [] Exploring Operation: 31-31=0, Resulting Numbers: [74, 66, 0] Generated Node #2: [74, 66, 0] from Operation: 31-31=0 Current State: 66:[74, 66, 0], Operations: ['31-31=0'] Exploring Operation: 74*0=0, Resulting Numbers: [66, 0] Generated Node #3: [66, 0] from Operation: 74*0=0 Current State: 66:[66, 0], Operations: ['31-31=0', '74*0=0'] Exploring Operation: 66+0=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 4, 8, 42 ]
46
[ "8/4=2", "42/2=21", "25+21=46" ]
Current State: 46:[25, 4, 8, 42], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [25, 42, 2] Generated Node #2: [25, 42, 2] from Operation: 8/4=2 Current State: 46:[25, 42, 2], Operations: ['8/4=2'] Exploring Operation: 42/2=21, Resulting Numbers: [25, 21] Generated Node #3: [25, 21] from Operation: 42/2=21 Current State: 46:[25, 21], Operations: ['8/4=2', '42/2=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 12, 41, 89 ]
28
[ "89-41=48", "48/12=4", "24+4=28" ]
Current State: 28:[24, 12, 41, 89], Operations: [] Exploring Operation: 89-41=48, Resulting Numbers: [24, 12, 48] Generated Node #2: [24, 12, 48] from Operation: 89-41=48 Current State: 28:[24, 12, 48], Operations: ['89-41=48'] Exploring Operation: 48/12=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 48/12=4 Current State: 28:[24, 4], Operations: ['89-41=48', '48/12=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 17, 86, 30 ]
31
[ "5*17=85", "86+30=116", "116-85=31" ]
Current State: 31:[5, 17, 86, 30], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [86, 30, 85] Generated Node #2: [86, 30, 85] from Operation: 5*17=85 Current State: 31:[86, 30, 85], Operations: ['5*17=85'] Exploring Operation: 86+30=116, Resulting Numbers: [85, 116] Generated Node #3: [85, 116] from Operation: 86+30=116 Current State: 31:[85, 116], Operations: ['5*17=85', '86+30=116'] Exploring Operation: 116-85=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 58, 8, 36, 9 ]
56
[ "8*9=72", "72/36=2", "58-2=56" ]
Current State: 56:[58, 8, 36, 9], Operations: [] Exploring Operation: 8*9=72, Resulting Numbers: [58, 36, 72] Generated Node #2: [58, 36, 72] from Operation: 8*9=72 Current State: 56:[58, 36, 72], Operations: ['8*9=72'] Exploring Operation: 72/36=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 72/36=2 Current State: 56:[58, 2], Operations: ['8*9=72', '72/36=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 36, 34, 48 ]
34
[ "62+34=96", "96/48=2", "36-2=34" ]
Current State: 34:[62, 36, 34, 48], Operations: [] Exploring Operation: 62+34=96, Resulting Numbers: [36, 48, 96] Generated Node #2: [36, 48, 96] from Operation: 62+34=96 Current State: 34:[36, 48, 96], Operations: ['62+34=96'] Exploring Operation: 96/48=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 96/48=2 Current State: 34:[36, 2], Operations: ['62+34=96', '96/48=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 83, 39, 79 ]
34
[ "83-77=6", "79-39=40", "40-6=34" ]
Current State: 34:[77, 83, 39, 79], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [39, 79, 6] Generated Node #2: [39, 79, 6] from Operation: 83-77=6 Current State: 34:[39, 79, 6], Operations: ['83-77=6'] Exploring Operation: 79-39=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 79-39=40 Current State: 34:[6, 40], Operations: ['83-77=6', '79-39=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 80, 63, 11 ]
76
[ "63+80=143", "143/11=13", "63+13=76" ]
Current State: 76:[63, 80, 63, 11], Operations: [] Exploring Operation: 63+80=143, Resulting Numbers: [11, 143] Generated Node #2: [11, 143] from Operation: 63+80=143 Current State: 76:[11, 143], Operations: ['63+80=143'] Exploring Operation: 143/11=13, Resulting Numbers: [13] 13,76 equal: Goal Reached Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 77, 2, 72, 32 ]
21
[ "77-72=5", "32/2=16", "5+16=21" ]
Current State: 21:[77, 2, 72, 32], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [2, 32, 5] Generated Node #2: [2, 32, 5] from Operation: 77-72=5 Current State: 21:[2, 32, 5], Operations: ['77-72=5'] Exploring Operation: 32/2=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 32/2=16 Current State: 21:[5, 16], Operations: ['77-72=5', '32/2=16'] Exploring Operation: 5+16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 3, 74, 20 ]
27
[ "13+74=87", "3*20=60", "87-60=27" ]
Current State: 27:[13, 3, 74, 20], Operations: [] Exploring Operation: 13+74=87, Resulting Numbers: [3, 20, 87] Generated Node #2: [3, 20, 87] from Operation: 13+74=87 Current State: 27:[3, 20, 87], Operations: ['13+74=87'] Exploring Operation: 3*20=60, Resulting Numbers: [87, 60] Generated Node #3: [87, 60] from Operation: 3*20=60 Current State: 27:[87, 60], Operations: ['13+74=87', '3*20=60'] Exploring Operation: 87-60=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 21, 17, 62, 70 ]
32
[ "21-17=4", "70-62=8", "4*8=32" ]
Current State: 32:[21, 17, 62, 70], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [62, 70, 4] Generated Node #2: [62, 70, 4] from Operation: 21-17=4 Current State: 32:[62, 70, 4], Operations: ['21-17=4'] Exploring Operation: 70-62=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 70-62=8 Current State: 32:[4, 8], Operations: ['21-17=4', '70-62=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 63, 57, 76, 21 ]
50
[ "63-57=6", "21*6=126", "126-76=50" ]
Current State: 50:[63, 57, 76, 21], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [76, 21, 6] Generated Node #2: [76, 21, 6] from Operation: 63-57=6 Current State: 50:[76, 21, 6], Operations: ['63-57=6'] Exploring Operation: 21*6=126, Resulting Numbers: [76, 126] Generated Node #3: [76, 126] from Operation: 21*6=126 Current State: 50:[76, 126], Operations: ['63-57=6', '21*6=126'] Exploring Operation: 126-76=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 29, 36, 95, 17 ]
16
[ "36-29=7", "95+17=112", "112/7=16" ]
Current State: 16:[29, 36, 95, 17], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [95, 17, 7] Generated Node #2: [95, 17, 7] from Operation: 36-29=7 Current State: 16:[95, 17, 7], Operations: ['36-29=7'] Exploring Operation: 95+17=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 95+17=112 Current State: 16:[7, 112], Operations: ['36-29=7', '95+17=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 22, 15, 42, 34 ]
28
[ "22-15=7", "42/7=6", "34-6=28" ]
Current State: 28:[22, 15, 42, 34], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [42, 34, 7] Generated Node #2: [42, 34, 7] from Operation: 22-15=7 Current State: 28:[42, 34, 7], Operations: ['22-15=7'] Exploring Operation: 42/7=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 42/7=6 Current State: 28:[34, 6], Operations: ['22-15=7', '42/7=6'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 33, 97, 30 ]
99
[ "48-33=15", "30/15=2", "97+2=99" ]
Current State: 99:[48, 33, 97, 30], Operations: [] Exploring Operation: 48-33=15, Resulting Numbers: [97, 30, 15] Generated Node #2: [97, 30, 15] from Operation: 48-33=15 Current State: 99:[97, 30, 15], Operations: ['48-33=15'] Exploring Operation: 30/15=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 30/15=2 Current State: 99:[97, 2], Operations: ['48-33=15', '30/15=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 56, 1, 29 ]
53
[ "1+29=30", "90/30=3", "56-3=53" ]
Current State: 53:[90, 56, 1, 29], Operations: [] Exploring Operation: 1+29=30, Resulting Numbers: [90, 56, 30] Generated Node #2: [90, 56, 30] from Operation: 1+29=30 Current State: 53:[90, 56, 30], Operations: ['1+29=30'] Exploring Operation: 90/30=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 90/30=3 Current State: 53:[56, 3], Operations: ['1+29=30', '90/30=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 60, 34, 75 ]
20
[ "34-9=25", "60*25=1500", "1500/75=20" ]
Current State: 20:[9, 60, 34, 75], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [60, 75, 25] Generated Node #2: [60, 75, 25] from Operation: 34-9=25 Current State: 20:[60, 75, 25], Operations: ['34-9=25'] Exploring Operation: 60*25=1500, Resulting Numbers: [75, 1500] Generated Node #3: [75, 1500] from Operation: 60*25=1500 Current State: 20:[75, 1500], Operations: ['34-9=25', '60*25=1500'] Exploring Operation: 1500/75=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 30, 6, 30 ]
37
[ "12+30=42", "30/6=5", "42-5=37" ]
Current State: 37:[12, 30, 6, 30], Operations: [] Exploring Operation: 12+30=42, Resulting Numbers: [6, 42] Generated Node #2: [6, 42] from Operation: 12+30=42 Current State: 37:[6, 42], Operations: ['12+30=42'] Exploring Operation: 30/6=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 30/6=5 Current State: 37:[42, 5], Operations: ['12+30=42', '30/6=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 14, 76, 65 ]
72
[ "76-65=11", "14*11=154", "154-82=72" ]
Current State: 72:[82, 14, 76, 65], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [82, 14, 11] Generated Node #2: [82, 14, 11] from Operation: 76-65=11 Current State: 72:[82, 14, 11], Operations: ['76-65=11'] Exploring Operation: 14*11=154, Resulting Numbers: [82, 154] Generated Node #3: [82, 154] from Operation: 14*11=154 Current State: 72:[82, 154], Operations: ['76-65=11', '14*11=154'] Exploring Operation: 154-82=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 21, 73, 21, 10 ]
21
[ "73-21=52", "21+10=31", "52-31=21" ]
Current State: 21:[21, 73, 21, 10], Operations: [] Exploring Operation: 73-21=52, Resulting Numbers: [10, 52] Generated Node #2: [10, 52] from Operation: 73-21=52 Current State: 21:[10, 52], Operations: ['73-21=52'] Exploring Operation: 21+10=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 21+10=31 Current State: 21:[52, 31], Operations: ['73-21=52', '21+10=31'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 29, 84, 56, 14 ]
39
[ "84+56=140", "140/14=10", "29+10=39" ]
Current State: 39:[29, 84, 56, 14], Operations: [] Exploring Operation: 84+56=140, Resulting Numbers: [29, 14, 140] Generated Node #2: [29, 14, 140] from Operation: 84+56=140 Current State: 39:[29, 14, 140], Operations: ['84+56=140'] Exploring Operation: 140/14=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 140/14=10 Current State: 39:[29, 10], Operations: ['84+56=140', '140/14=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 69, 7, 74 ]
82
[ "69-68=1", "7+74=81", "1+81=82" ]
Current State: 82:[68, 69, 7, 74], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [7, 74, 1] Generated Node #2: [7, 74, 1] from Operation: 69-68=1 Current State: 82:[7, 74, 1], Operations: ['69-68=1'] Exploring Operation: 7+74=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 7+74=81 Current State: 82:[1, 81], Operations: ['69-68=1', '7+74=81'] Exploring Operation: 1+81=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 60, 97, 12 ]
45
[ "97-81=16", "60*12=720", "720/16=45" ]
Current State: 45:[81, 60, 97, 12], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [60, 12, 16] Generated Node #2: [60, 12, 16] from Operation: 97-81=16 Current State: 45:[60, 12, 16], Operations: ['97-81=16'] Exploring Operation: 60*12=720, Resulting Numbers: [16, 720] Generated Node #3: [16, 720] from Operation: 60*12=720 Current State: 45:[16, 720], Operations: ['97-81=16', '60*12=720'] Exploring Operation: 720/16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 48, 96, 78 ]
32
[ "62-48=14", "96-78=18", "14+18=32" ]
Current State: 32:[62, 48, 96, 78], Operations: [] Exploring Operation: 62-48=14, Resulting Numbers: [96, 78, 14] Generated Node #2: [96, 78, 14] from Operation: 62-48=14 Current State: 32:[96, 78, 14], Operations: ['62-48=14'] Exploring Operation: 96-78=18, Resulting Numbers: [14, 18] Generated Node #3: [14, 18] from Operation: 96-78=18 Current State: 32:[14, 18], Operations: ['62-48=14', '96-78=18'] Exploring Operation: 14+18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 78, 3, 39 ]
80
[ "93-39=54", "78/3=26", "54+26=80" ]
Current State: 80:[93, 78, 3, 39], Operations: [] Exploring Operation: 93-39=54, Resulting Numbers: [78, 3, 54] Generated Node #2: [78, 3, 54] from Operation: 93-39=54 Current State: 80:[78, 3, 54], Operations: ['93-39=54'] Exploring Operation: 78/3=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 78/3=26 Current State: 80:[54, 26], Operations: ['93-39=54', '78/3=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 21, 11, 27, 55 ]
18
[ "21-11=10", "55-27=28", "28-10=18" ]
Current State: 18:[21, 11, 27, 55], Operations: [] Exploring Operation: 21-11=10, Resulting Numbers: [27, 55, 10] Generated Node #2: [27, 55, 10] from Operation: 21-11=10 Current State: 18:[27, 55, 10], Operations: ['21-11=10'] Exploring Operation: 55-27=28, Resulting Numbers: [10, 28] Generated Node #3: [10, 28] from Operation: 55-27=28 Current State: 18:[10, 28], Operations: ['21-11=10', '55-27=28'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 18, 22, 54 ]
97
[ "25*54=1350", "1350/18=75", "22+75=97" ]
Current State: 97:[25, 18, 22, 54], Operations: [] Exploring Operation: 25*54=1350, Resulting Numbers: [18, 22, 1350] Generated Node #2: [18, 22, 1350] from Operation: 25*54=1350 Current State: 97:[18, 22, 1350], Operations: ['25*54=1350'] Exploring Operation: 1350/18=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 1350/18=75 Current State: 97:[22, 75], Operations: ['25*54=1350', '1350/18=75'] Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 91, 82, 86, 26 ]
14
[ "86-82=4", "91*4=364", "364/26=14" ]
Current State: 14:[91, 82, 86, 26], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [91, 26, 4] Generated Node #2: [91, 26, 4] from Operation: 86-82=4 Current State: 14:[91, 26, 4], Operations: ['86-82=4'] Exploring Operation: 91*4=364, Resulting Numbers: [26, 364] Generated Node #3: [26, 364] from Operation: 91*4=364 Current State: 14:[26, 364], Operations: ['86-82=4', '91*4=364'] Exploring Operation: 364/26=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 31, 51, 55 ]
47
[ "28+31=59", "51+55=106", "106-59=47" ]
Current State: 47:[28, 31, 51, 55], Operations: [] Exploring Operation: 28+31=59, Resulting Numbers: [51, 55, 59] Generated Node #2: [51, 55, 59] from Operation: 28+31=59 Current State: 47:[51, 55, 59], Operations: ['28+31=59'] Exploring Operation: 51+55=106, Resulting Numbers: [59, 106] Generated Node #3: [59, 106] from Operation: 51+55=106 Current State: 47:[59, 106], Operations: ['28+31=59', '51+55=106'] Exploring Operation: 106-59=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 36, 55, 7 ]
28
[ "36-16=20", "55-7=48", "48-20=28" ]
Current State: 28:[16, 36, 55, 7], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [55, 7, 20] Generated Node #2: [55, 7, 20] from Operation: 36-16=20 Current State: 28:[55, 7, 20], Operations: ['36-16=20'] Exploring Operation: 55-7=48, Resulting Numbers: [20, 48] Generated Node #3: [20, 48] from Operation: 55-7=48 Current State: 28:[20, 48], Operations: ['36-16=20', '55-7=48'] Exploring Operation: 48-20=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 12, 4, 35, 52 ]
92
[ "12*35=420", "420-52=368", "368/4=92" ]
Current State: 92:[12, 4, 35, 52], Operations: [] Exploring Operation: 12*35=420, Resulting Numbers: [4, 52, 420] Generated Node #2: [4, 52, 420] from Operation: 12*35=420 Current State: 92:[4, 52, 420], Operations: ['12*35=420'] Exploring Operation: 420-52=368, Resulting Numbers: [4, 368] Generated Node #3: [4, 368] from Operation: 420-52=368 Current State: 92:[4, 368], Operations: ['12*35=420', '420-52=368'] Exploring Operation: 368/4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 20, 85, 81 ]
47
[ "85-82=3", "81/3=27", "20+27=47" ]
Current State: 47:[82, 20, 85, 81], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [20, 81, 3] Generated Node #2: [20, 81, 3] from Operation: 85-82=3 Current State: 47:[20, 81, 3], Operations: ['85-82=3'] Exploring Operation: 81/3=27, Resulting Numbers: [20, 27] Generated Node #3: [20, 27] from Operation: 81/3=27 Current State: 47:[20, 27], Operations: ['85-82=3', '81/3=27'] Exploring Operation: 20+27=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 75, 30, 8, 11 ]
73
[ "30-8=22", "22/11=2", "75-2=73" ]
Current State: 73:[75, 30, 8, 11], Operations: [] Exploring Operation: 30-8=22, Resulting Numbers: [75, 11, 22] Generated Node #2: [75, 11, 22] from Operation: 30-8=22 Current State: 73:[75, 11, 22], Operations: ['30-8=22'] Exploring Operation: 22/11=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 22/11=2 Current State: 73:[75, 2], Operations: ['30-8=22', '22/11=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 25, 11, 30 ]
78
[ "34+25=59", "30-11=19", "59+19=78" ]
Current State: 78:[34, 25, 11, 30], Operations: [] Exploring Operation: 34+25=59, Resulting Numbers: [11, 30, 59] Generated Node #2: [11, 30, 59] from Operation: 34+25=59 Current State: 78:[11, 30, 59], Operations: ['34+25=59'] Exploring Operation: 30-11=19, Resulting Numbers: [59, 19] Generated Node #3: [59, 19] from Operation: 30-11=19 Current State: 78:[59, 19], Operations: ['34+25=59', '30-11=19'] Exploring Operation: 59+19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 34, 51, 27 ]
80
[ "51-34=17", "27-17=10", "8*10=80" ]
Current State: 80:[8, 34, 51, 27], Operations: [] Exploring Operation: 51-34=17, Resulting Numbers: [8, 27, 17] Generated Node #2: [8, 27, 17] from Operation: 51-34=17 Current State: 80:[8, 27, 17], Operations: ['51-34=17'] Exploring Operation: 27-17=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 27-17=10 Current State: 80:[8, 10], Operations: ['51-34=17', '27-17=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 62, 3, 94, 66 ]
10
[ "94-62=32", "66/3=22", "32-22=10" ]
Current State: 10:[62, 3, 94, 66], Operations: [] Exploring Operation: 94-62=32, Resulting Numbers: [3, 66, 32] Generated Node #2: [3, 66, 32] from Operation: 94-62=32 Current State: 10:[3, 66, 32], Operations: ['94-62=32'] Exploring Operation: 66/3=22, Resulting Numbers: [32, 22] Generated Node #3: [32, 22] from Operation: 66/3=22 Current State: 10:[32, 22], Operations: ['94-62=32', '66/3=22'] Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 58, 18, 18 ]
16
[ "58-18=40", "40/20=2", "18-2=16" ]
Current State: 16:[20, 58, 18, 18], Operations: [] Exploring Operation: 58-18=40, Resulting Numbers: [20, 40] Generated Node #2: [20, 40] from Operation: 58-18=40 Current State: 16:[20, 40], Operations: ['58-18=40'] Exploring Operation: 40/20=2, Resulting Numbers: [2] 2,16 equal: Goal Reached Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 33, 70, 76 ]
99
[ "70/7=10", "33+76=109", "109-10=99" ]
Current State: 99:[7, 33, 70, 76], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [33, 76, 10] Generated Node #2: [33, 76, 10] from Operation: 70/7=10 Current State: 99:[33, 76, 10], Operations: ['70/7=10'] Exploring Operation: 33+76=109, Resulting Numbers: [10, 109] Generated Node #3: [10, 109] from Operation: 33+76=109 Current State: 99:[10, 109], Operations: ['70/7=10', '33+76=109'] Exploring Operation: 109-10=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 8, 27, 19 ]
94
[ "40+8=48", "27+19=46", "48+46=94" ]
Current State: 94:[40, 8, 27, 19], Operations: [] Exploring Operation: 40+8=48, Resulting Numbers: [27, 19, 48] Generated Node #2: [27, 19, 48] from Operation: 40+8=48 Current State: 94:[27, 19, 48], Operations: ['40+8=48'] Exploring Operation: 27+19=46, Resulting Numbers: [48, 46] Generated Node #3: [48, 46] from Operation: 27+19=46 Current State: 94:[48, 46], Operations: ['40+8=48', '27+19=46'] Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 78, 7, 93 ]
98
[ "78-76=2", "7+93=100", "100-2=98" ]
Current State: 98:[76, 78, 7, 93], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [7, 93, 2] Generated Node #2: [7, 93, 2] from Operation: 78-76=2 Current State: 98:[7, 93, 2], Operations: ['78-76=2'] Exploring Operation: 7+93=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 7+93=100 Current State: 98:[2, 100], Operations: ['78-76=2', '7+93=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 34, 44, 66 ]
44
[ "52*44=2288", "34*66=2244", "2288-2244=44" ]
Current State: 44:[52, 34, 44, 66], Operations: [] Exploring Operation: 52*44=2288, Resulting Numbers: [34, 66, 2288] Generated Node #2: [34, 66, 2288] from Operation: 52*44=2288 Current State: 44:[34, 66, 2288], Operations: ['52*44=2288'] Exploring Operation: 34*66=2244, Resulting Numbers: [2288, 2244] Generated Node #3: [2288, 2244] from Operation: 34*66=2244 Current State: 44:[2288, 2244], Operations: ['52*44=2288', '34*66=2244'] Exploring Operation: 2288-2244=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 40, 38, 1, 13 ]
66
[ "40+38=78", "13-1=12", "78-12=66" ]
Current State: 66:[40, 38, 1, 13], Operations: [] Exploring Operation: 40+38=78, Resulting Numbers: [1, 13, 78] Generated Node #2: [1, 13, 78] from Operation: 40+38=78 Current State: 66:[1, 13, 78], Operations: ['40+38=78'] Exploring Operation: 13-1=12, Resulting Numbers: [78, 12] Generated Node #3: [78, 12] from Operation: 13-1=12 Current State: 66:[78, 12], Operations: ['40+38=78', '13-1=12'] Exploring Operation: 78-12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 86, 83, 11, 9 ]
38
[ "86-83=3", "9*3=27", "11+27=38" ]
Current State: 38:[86, 83, 11, 9], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [11, 9, 3] Generated Node #2: [11, 9, 3] from Operation: 86-83=3 Current State: 38:[11, 9, 3], Operations: ['86-83=3'] Exploring Operation: 9*3=27, Resulting Numbers: [11, 27] Generated Node #3: [11, 27] from Operation: 9*3=27 Current State: 38:[11, 27], Operations: ['86-83=3', '9*3=27'] Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4