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
[ 93, 86, 18, 42 ]
67
[ "93-86=7", "18+42=60", "7+60=67" ]
Current State: 67:[93, 86, 18, 42], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [18, 42, 7] Generated Node #2: [18, 42, 7] from Operation: 93-86=7 Current State: 67:[18, 42, 7], Operations: ['93-86=7'] Exploring Operation: 18+42=60, Resulting Numbers: [7, 60] Generated Node #3: [7, 60] from Operation: 18+42=60 Current State: 67:[7, 60], Operations: ['93-86=7', '18+42=60'] Exploring Operation: 7+60=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 20, 95, 5 ]
36
[ "37-20=17", "95/5=19", "17+19=36" ]
Current State: 36:[37, 20, 95, 5], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [95, 5, 17] Generated Node #2: [95, 5, 17] from Operation: 37-20=17 Current State: 36:[95, 5, 17], Operations: ['37-20=17'] Exploring Operation: 95/5=19, Resulting Numbers: [17, 19] Generated Node #3: [17, 19] from Operation: 95/5=19 Current State: 36:[17, 19], Operations: ['37-20=17', '95/5=19'] Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 66, 76, 81 ]
53
[ "76/2=38", "81-66=15", "38+15=53" ]
Current State: 53:[2, 66, 76, 81], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [66, 81, 38] Generated Node #2: [66, 81, 38] from Operation: 76/2=38 Current State: 53:[66, 81, 38], Operations: ['76/2=38'] Exploring Operation: 81-66=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 81-66=15 Current State: 53:[38, 15], Operations: ['76/2=38', '81-66=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 46, 3, 93, 60 ]
27
[ "93-46=47", "60/3=20", "47-20=27" ]
Current State: 27:[46, 3, 93, 60], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [3, 60, 47] Generated Node #2: [3, 60, 47] from Operation: 93-46=47 Current State: 27:[3, 60, 47], Operations: ['93-46=47'] Exploring Operation: 60/3=20, Resulting Numbers: [47, 20] Generated Node #3: [47, 20] from Operation: 60/3=20 Current State: 27:[47, 20], Operations: ['93-46=47', '60/3=20'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 39, 24, 30 ]
31
[ "39*24=936", "936-6=930", "930/30=31" ]
Current State: 31:[6, 39, 24, 30], Operations: [] Exploring Operation: 39*24=936, Resulting Numbers: [6, 30, 936] Generated Node #2: [6, 30, 936] from Operation: 39*24=936 Current State: 31:[6, 30, 936], Operations: ['39*24=936'] Exploring Operation: 936-6=930, Resulting Numbers: [30, 930] Generated Node #3: [30, 930] from Operation: 936-6=930 Current State: 31:[30, 930], Operations: ['39*24=936', '936-6=930'] Exploring Operation: 930/30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 60, 6, 82 ]
17
[ "60-40=20", "82+20=102", "102/6=17" ]
Current State: 17:[40, 60, 6, 82], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [6, 82, 20] Generated Node #2: [6, 82, 20] from Operation: 60-40=20 Current State: 17:[6, 82, 20], Operations: ['60-40=20'] Exploring Operation: 82+20=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 82+20=102 Current State: 17:[6, 102], Operations: ['60-40=20', '82+20=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 37, 39, 56, 28 ]
14
[ "39-37=2", "56-28=28", "28/2=14" ]
Current State: 14:[37, 39, 56, 28], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [56, 28, 2] Generated Node #2: [56, 28, 2] from Operation: 39-37=2 Current State: 14:[56, 28, 2], Operations: ['39-37=2'] Exploring Operation: 56-28=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 56-28=28 Current State: 14:[2, 28], Operations: ['39-37=2', '56-28=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 42, 25, 98 ]
94
[ "42-13=29", "25+98=123", "123-29=94" ]
Current State: 94:[13, 42, 25, 98], Operations: [] Exploring Operation: 42-13=29, Resulting Numbers: [25, 98, 29] Generated Node #2: [25, 98, 29] from Operation: 42-13=29 Current State: 94:[25, 98, 29], Operations: ['42-13=29'] Exploring Operation: 25+98=123, Resulting Numbers: [29, 123] Generated Node #3: [29, 123] from Operation: 25+98=123 Current State: 94:[29, 123], Operations: ['42-13=29', '25+98=123'] Exploring Operation: 123-29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 33, 96, 14 ]
16
[ "33-25=8", "14*8=112", "112-96=16" ]
Current State: 16:[25, 33, 96, 14], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [96, 14, 8] Generated Node #2: [96, 14, 8] from Operation: 33-25=8 Current State: 16:[96, 14, 8], Operations: ['33-25=8'] Exploring Operation: 14*8=112, Resulting Numbers: [96, 112] Generated Node #3: [96, 112] from Operation: 14*8=112 Current State: 16:[96, 112], Operations: ['33-25=8', '14*8=112'] Exploring Operation: 112-96=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 73, 2, 5 ]
24
[ "73-66=7", "5+7=12", "2*12=24" ]
Current State: 24:[66, 73, 2, 5], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [2, 5, 7] Generated Node #2: [2, 5, 7] from Operation: 73-66=7 Current State: 24:[2, 5, 7], Operations: ['73-66=7'] Exploring Operation: 5+7=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 5+7=12 Current State: 24:[2, 12], Operations: ['73-66=7', '5+7=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 9, 23, 16 ]
54
[ "38+9=47", "23-16=7", "47+7=54" ]
Current State: 54:[38, 9, 23, 16], Operations: [] Exploring Operation: 38+9=47, Resulting Numbers: [23, 16, 47] Generated Node #2: [23, 16, 47] from Operation: 38+9=47 Current State: 54:[23, 16, 47], Operations: ['38+9=47'] Exploring Operation: 23-16=7, Resulting Numbers: [47, 7] Generated Node #3: [47, 7] from Operation: 23-16=7 Current State: 54:[47, 7], Operations: ['38+9=47', '23-16=7'] Exploring Operation: 47+7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 56, 90, 30 ]
16
[ "90-56=34", "34-30=4", "64/4=16" ]
Current State: 16:[64, 56, 90, 30], Operations: [] Exploring Operation: 90-56=34, Resulting Numbers: [64, 30, 34] Generated Node #2: [64, 30, 34] from Operation: 90-56=34 Current State: 16:[64, 30, 34], Operations: ['90-56=34'] Exploring Operation: 34-30=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 34-30=4 Current State: 16:[64, 4], Operations: ['90-56=34', '34-30=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 17, 98, 25 ]
16
[ "98-73=25", "25/25=1", "17-1=16" ]
Current State: 16:[73, 17, 98, 25], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [17, 25, 25] Generated Node #2: [17, 25, 25] from Operation: 98-73=25 Current State: 16:[17, 25, 25], Operations: ['98-73=25'] Exploring Operation: 25/25=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 25/25=1 Current State: 16:[17, 1], Operations: ['98-73=25', '25/25=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 68, 52, 64 ]
87
[ "7+68=75", "64-52=12", "75+12=87" ]
Current State: 87:[7, 68, 52, 64], Operations: [] Exploring Operation: 7+68=75, Resulting Numbers: [52, 64, 75] Generated Node #2: [52, 64, 75] from Operation: 7+68=75 Current State: 87:[52, 64, 75], Operations: ['7+68=75'] Exploring Operation: 64-52=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 64-52=12 Current State: 87:[75, 12], Operations: ['7+68=75', '64-52=12'] Exploring Operation: 75+12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 40, 80, 23, 40 ]
12
[ "40*23=920", "40+920=960", "960/80=12" ]
Current State: 12:[40, 80, 23, 40], Operations: [] Exploring Operation: 40*23=920, Resulting Numbers: [80, 920] Generated Node #2: [80, 920] from Operation: 40*23=920 Current State: 12:[80, 920], Operations: ['40*23=920'] Exploring Operation: 40+920=960, Resulting Numbers: [80, 960] Generated Node #3: [80, 960] from Operation: 40+920=960 Current State: 12:[80, 960], Operations: ['40*23=920', '40+920=960'] Exploring Operation: 960/80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 94, 37, 5 ]
35
[ "42+5=47", "94/47=2", "37-2=35" ]
Current State: 35:[42, 94, 37, 5], Operations: [] Exploring Operation: 42+5=47, Resulting Numbers: [94, 37, 47] Generated Node #2: [94, 37, 47] from Operation: 42+5=47 Current State: 35:[94, 37, 47], Operations: ['42+5=47'] Exploring Operation: 94/47=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 94/47=2 Current State: 35:[37, 2], Operations: ['42+5=47', '94/47=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 1, 22, 97 ]
31
[ "44*1=44", "97-22=75", "75-44=31" ]
Current State: 31:[44, 1, 22, 97], Operations: [] Exploring Operation: 44*1=44, Resulting Numbers: [22, 97, 44] Generated Node #2: [22, 97, 44] from Operation: 44*1=44 Current State: 31:[22, 97, 44], Operations: ['44*1=44'] Exploring Operation: 97-22=75, Resulting Numbers: [44, 75] Generated Node #3: [44, 75] from Operation: 97-22=75 Current State: 31:[44, 75], Operations: ['44*1=44', '97-22=75'] Exploring Operation: 75-44=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 92, 37, 46, 37 ]
28
[ "92-37=55", "46+37=83", "83-55=28" ]
Current State: 28:[92, 37, 46, 37], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [46, 55] Generated Node #2: [46, 55] from Operation: 92-37=55 Current State: 28:[46, 55], Operations: ['92-37=55'] Exploring Operation: 46+37=83, Resulting Numbers: [55, 83] Generated Node #3: [55, 83] from Operation: 46+37=83 Current State: 28:[55, 83], Operations: ['92-37=55', '46+37=83'] Exploring Operation: 83-55=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 67, 80, 28, 61 ]
76
[ "80-67=13", "28+61=89", "89-13=76" ]
Current State: 76:[67, 80, 28, 61], Operations: [] Exploring Operation: 80-67=13, Resulting Numbers: [28, 61, 13] Generated Node #2: [28, 61, 13] from Operation: 80-67=13 Current State: 76:[28, 61, 13], Operations: ['80-67=13'] Exploring Operation: 28+61=89, Resulting Numbers: [13, 89] Generated Node #3: [13, 89] from Operation: 28+61=89 Current State: 76:[13, 89], Operations: ['80-67=13', '28+61=89'] Exploring Operation: 89-13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 68, 61, 52, 87 ]
28
[ "68-61=7", "87-52=35", "35-7=28" ]
Current State: 28:[68, 61, 52, 87], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [52, 87, 7] Generated Node #2: [52, 87, 7] from Operation: 68-61=7 Current State: 28:[52, 87, 7], Operations: ['68-61=7'] Exploring Operation: 87-52=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 87-52=35 Current State: 28:[7, 35], Operations: ['68-61=7', '87-52=35'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 9, 7, 27, 15 ]
75
[ "9*7=63", "27-15=12", "63+12=75" ]
Current State: 75:[9, 7, 27, 15], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [27, 15, 63] Generated Node #2: [27, 15, 63] from Operation: 9*7=63 Current State: 75:[27, 15, 63], Operations: ['9*7=63'] Exploring Operation: 27-15=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 27-15=12 Current State: 75:[63, 12], Operations: ['9*7=63', '27-15=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 40, 54, 61 ]
43
[ "10+40=50", "61-54=7", "50-7=43" ]
Current State: 43:[10, 40, 54, 61], Operations: [] Exploring Operation: 10+40=50, Resulting Numbers: [54, 61, 50] Generated Node #2: [54, 61, 50] from Operation: 10+40=50 Current State: 43:[54, 61, 50], Operations: ['10+40=50'] Exploring Operation: 61-54=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 61-54=7 Current State: 43:[50, 7], Operations: ['10+40=50', '61-54=7'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 54, 3, 99, 10 ]
97
[ "54+10=64", "99/3=33", "64+33=97" ]
Current State: 97:[54, 3, 99, 10], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [3, 99, 64] Generated Node #2: [3, 99, 64] from Operation: 54+10=64 Current State: 97:[3, 99, 64], Operations: ['54+10=64'] Exploring Operation: 99/3=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 99/3=33 Current State: 97:[64, 33], Operations: ['54+10=64', '99/3=33'] Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 37, 70, 5 ]
83
[ "28+37=65", "65/5=13", "70+13=83" ]
Current State: 83:[28, 37, 70, 5], Operations: [] Exploring Operation: 28+37=65, Resulting Numbers: [70, 5, 65] Generated Node #2: [70, 5, 65] from Operation: 28+37=65 Current State: 83:[70, 5, 65], Operations: ['28+37=65'] Exploring Operation: 65/5=13, Resulting Numbers: [70, 13] Generated Node #3: [70, 13] from Operation: 65/5=13 Current State: 83:[70, 13], Operations: ['28+37=65', '65/5=13'] Exploring Operation: 70+13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 63, 43, 8 ]
60
[ "63/7=9", "43+8=51", "9+51=60" ]
Current State: 60:[7, 63, 43, 8], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [43, 8, 9] Generated Node #2: [43, 8, 9] from Operation: 63/7=9 Current State: 60:[43, 8, 9], Operations: ['63/7=9'] Exploring Operation: 43+8=51, Resulting Numbers: [9, 51] Generated Node #3: [9, 51] from Operation: 43+8=51 Current State: 60:[9, 51], Operations: ['63/7=9', '43+8=51'] Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 47, 14, 3, 47 ]
28
[ "47/47=1", "3-1=2", "14*2=28" ]
Current State: 28:[47, 14, 3, 47], Operations: [] Exploring Operation: 47/47=1, Resulting Numbers: [14, 3, 1] Generated Node #2: [14, 3, 1] from Operation: 47/47=1 Current State: 28:[14, 3, 1], Operations: ['47/47=1'] Exploring Operation: 3-1=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 3-1=2 Current State: 28:[14, 2], Operations: ['47/47=1', '3-1=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 57, 88, 39 ]
57
[ "88-50=38", "39-38=1", "57*1=57" ]
Current State: 57:[50, 57, 88, 39], Operations: [] Exploring Operation: 88-50=38, Resulting Numbers: [57, 39, 38] Generated Node #2: [57, 39, 38] from Operation: 88-50=38 Current State: 57:[57, 39, 38], Operations: ['88-50=38'] Exploring Operation: 39-38=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 39-38=1 Current State: 57:[57, 1], Operations: ['88-50=38', '39-38=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 44, 59, 64 ]
74
[ "93-44=49", "59+64=123", "123-49=74" ]
Current State: 74:[93, 44, 59, 64], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [59, 64, 49] Generated Node #2: [59, 64, 49] from Operation: 93-44=49 Current State: 74:[59, 64, 49], Operations: ['93-44=49'] Exploring Operation: 59+64=123, Resulting Numbers: [49, 123] Generated Node #3: [49, 123] from Operation: 59+64=123 Current State: 74:[49, 123], Operations: ['93-44=49', '59+64=123'] Exploring Operation: 123-49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 86, 84, 11 ]
27
[ "86-84=2", "11*2=22", "5+22=27" ]
Current State: 27:[5, 86, 84, 11], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [5, 11, 2] Generated Node #2: [5, 11, 2] from Operation: 86-84=2 Current State: 27:[5, 11, 2], Operations: ['86-84=2'] Exploring Operation: 11*2=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 11*2=22 Current State: 27:[5, 22], Operations: ['86-84=2', '11*2=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 96, 15, 48, 80 ]
87
[ "15*48=720", "720/80=9", "96-9=87" ]
Current State: 87:[96, 15, 48, 80], Operations: [] Exploring Operation: 15*48=720, Resulting Numbers: [96, 80, 720] Generated Node #2: [96, 80, 720] from Operation: 15*48=720 Current State: 87:[96, 80, 720], Operations: ['15*48=720'] Exploring Operation: 720/80=9, Resulting Numbers: [96, 9] Generated Node #3: [96, 9] from Operation: 720/80=9 Current State: 87:[96, 9], Operations: ['15*48=720', '720/80=9'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 80, 8, 37, 72 ]
53
[ "80+8=88", "72-37=35", "88-35=53" ]
Current State: 53:[80, 8, 37, 72], Operations: [] Exploring Operation: 80+8=88, Resulting Numbers: [37, 72, 88] Generated Node #2: [37, 72, 88] from Operation: 80+8=88 Current State: 53:[37, 72, 88], Operations: ['80+8=88'] Exploring Operation: 72-37=35, Resulting Numbers: [88, 35] Generated Node #3: [88, 35] from Operation: 72-37=35 Current State: 53:[88, 35], Operations: ['80+8=88', '72-37=35'] Exploring Operation: 88-35=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 19, 13, 32, 22 ]
16
[ "19-13=6", "32-22=10", "6+10=16" ]
Current State: 16:[19, 13, 32, 22], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [32, 22, 6] Generated Node #2: [32, 22, 6] from Operation: 19-13=6 Current State: 16:[32, 22, 6], Operations: ['19-13=6'] Exploring Operation: 32-22=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 32-22=10 Current State: 16:[6, 10], Operations: ['19-13=6', '32-22=10'] Exploring Operation: 6+10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 46, 3, 71 ]
59
[ "71-32=39", "39/3=13", "46+13=59" ]
Current State: 59:[32, 46, 3, 71], Operations: [] Exploring Operation: 71-32=39, Resulting Numbers: [46, 3, 39] Generated Node #2: [46, 3, 39] from Operation: 71-32=39 Current State: 59:[46, 3, 39], Operations: ['71-32=39'] Exploring Operation: 39/3=13, Resulting Numbers: [46, 13] Generated Node #3: [46, 13] from Operation: 39/3=13 Current State: 59:[46, 13], Operations: ['71-32=39', '39/3=13'] Exploring Operation: 46+13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 38, 21, 44, 97 ]
36
[ "38-21=17", "97-44=53", "53-17=36" ]
Current State: 36:[38, 21, 44, 97], Operations: [] Exploring Operation: 38-21=17, Resulting Numbers: [44, 97, 17] Generated Node #2: [44, 97, 17] from Operation: 38-21=17 Current State: 36:[44, 97, 17], Operations: ['38-21=17'] Exploring Operation: 97-44=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 97-44=53 Current State: 36:[17, 53], Operations: ['38-21=17', '97-44=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 27, 15, 54, 5 ]
84
[ "27+54=81", "15/5=3", "81+3=84" ]
Current State: 84:[27, 15, 54, 5], Operations: [] Exploring Operation: 27+54=81, Resulting Numbers: [15, 5, 81] Generated Node #2: [15, 5, 81] from Operation: 27+54=81 Current State: 84:[15, 5, 81], Operations: ['27+54=81'] Exploring Operation: 15/5=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 15/5=3 Current State: 84:[81, 3], Operations: ['27+54=81', '15/5=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 2, 33, 20 ]
39
[ "50+2=52", "33-20=13", "52-13=39" ]
Current State: 39:[50, 2, 33, 20], Operations: [] Exploring Operation: 50+2=52, Resulting Numbers: [33, 20, 52] Generated Node #2: [33, 20, 52] from Operation: 50+2=52 Current State: 39:[33, 20, 52], Operations: ['50+2=52'] Exploring Operation: 33-20=13, Resulting Numbers: [52, 13] Generated Node #3: [52, 13] from Operation: 33-20=13 Current State: 39:[52, 13], Operations: ['50+2=52', '33-20=13'] Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 14, 11, 48 ]
36
[ "14-11=3", "48/3=16", "52-16=36" ]
Current State: 36:[52, 14, 11, 48], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [52, 48, 3] Generated Node #2: [52, 48, 3] from Operation: 14-11=3 Current State: 36:[52, 48, 3], Operations: ['14-11=3'] Exploring Operation: 48/3=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 48/3=16 Current State: 36:[52, 16], Operations: ['14-11=3', '48/3=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 33, 45, 43, 18 ]
81
[ "43-33=10", "45*18=810", "810/10=81" ]
Current State: 81:[33, 45, 43, 18], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [45, 18, 10] Generated Node #2: [45, 18, 10] from Operation: 43-33=10 Current State: 81:[45, 18, 10], Operations: ['43-33=10'] Exploring Operation: 45*18=810, Resulting Numbers: [10, 810] Generated Node #3: [10, 810] from Operation: 45*18=810 Current State: 81:[10, 810], Operations: ['43-33=10', '45*18=810'] Exploring Operation: 810/10=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 26, 12, 4, 63 ]
97
[ "26+12=38", "63-4=59", "38+59=97" ]
Current State: 97:[26, 12, 4, 63], Operations: [] Exploring Operation: 26+12=38, Resulting Numbers: [4, 63, 38] Generated Node #2: [4, 63, 38] from Operation: 26+12=38 Current State: 97:[4, 63, 38], Operations: ['26+12=38'] Exploring Operation: 63-4=59, Resulting Numbers: [38, 59] Generated Node #3: [38, 59] from Operation: 63-4=59 Current State: 97:[38, 59], Operations: ['26+12=38', '63-4=59'] Exploring Operation: 38+59=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 34, 84, 10, 60 ]
11
[ "84-34=50", "60+50=110", "110/10=11" ]
Current State: 11:[34, 84, 10, 60], Operations: [] Exploring Operation: 84-34=50, Resulting Numbers: [10, 60, 50] Generated Node #2: [10, 60, 50] from Operation: 84-34=50 Current State: 11:[10, 60, 50], Operations: ['84-34=50'] Exploring Operation: 60+50=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 60+50=110 Current State: 11:[10, 110], Operations: ['84-34=50', '60+50=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 11, 29, 13, 20 ]
21
[ "13*20=260", "260-29=231", "231/11=21" ]
Current State: 21:[11, 29, 13, 20], Operations: [] Exploring Operation: 13*20=260, Resulting Numbers: [11, 29, 260] Generated Node #2: [11, 29, 260] from Operation: 13*20=260 Current State: 21:[11, 29, 260], Operations: ['13*20=260'] Exploring Operation: 260-29=231, Resulting Numbers: [11, 231] Generated Node #3: [11, 231] from Operation: 260-29=231 Current State: 21:[11, 231], Operations: ['13*20=260', '260-29=231'] Exploring Operation: 231/11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 28, 6, 77, 74 ]
10
[ "77-74=3", "6*3=18", "28-18=10" ]
Current State: 10:[28, 6, 77, 74], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [28, 6, 3] Generated Node #2: [28, 6, 3] from Operation: 77-74=3 Current State: 10:[28, 6, 3], Operations: ['77-74=3'] Exploring Operation: 6*3=18, Resulting Numbers: [28, 18] Generated Node #3: [28, 18] from Operation: 6*3=18 Current State: 10:[28, 18], Operations: ['77-74=3', '6*3=18'] Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 68, 4, 33 ]
82
[ "66+33=99", "68/4=17", "99-17=82" ]
Current State: 82:[66, 68, 4, 33], Operations: [] Exploring Operation: 66+33=99, Resulting Numbers: [68, 4, 99] Generated Node #2: [68, 4, 99] from Operation: 66+33=99 Current State: 82:[68, 4, 99], Operations: ['66+33=99'] Exploring Operation: 68/4=17, Resulting Numbers: [99, 17] Generated Node #3: [99, 17] from Operation: 68/4=17 Current State: 82:[99, 17], Operations: ['66+33=99', '68/4=17'] Exploring Operation: 99-17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 11, 74, 12 ]
61
[ "11-10=1", "74-12=62", "62-1=61" ]
Current State: 61:[10, 11, 74, 12], Operations: [] Exploring Operation: 11-10=1, Resulting Numbers: [74, 12, 1] Generated Node #2: [74, 12, 1] from Operation: 11-10=1 Current State: 61:[74, 12, 1], Operations: ['11-10=1'] Exploring Operation: 74-12=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 74-12=62 Current State: 61:[1, 62], Operations: ['11-10=1', '74-12=62'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 65, 49, 84, 82 ]
87
[ "65+82=147", "147/49=3", "84+3=87" ]
Current State: 87:[65, 49, 84, 82], Operations: [] Exploring Operation: 65+82=147, Resulting Numbers: [49, 84, 147] Generated Node #2: [49, 84, 147] from Operation: 65+82=147 Current State: 87:[49, 84, 147], Operations: ['65+82=147'] Exploring Operation: 147/49=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 147/49=3 Current State: 87:[84, 3], Operations: ['65+82=147', '147/49=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 12, 82, 89, 7 ]
77
[ "12*7=84", "89-82=7", "84-7=77" ]
Current State: 77:[12, 82, 89, 7], Operations: [] Exploring Operation: 12*7=84, Resulting Numbers: [82, 89, 84] Generated Node #2: [82, 89, 84] from Operation: 12*7=84 Current State: 77:[82, 89, 84], Operations: ['12*7=84'] Exploring Operation: 89-82=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 89-82=7 Current State: 77:[84, 7], Operations: ['12*7=84', '89-82=7'] Exploring Operation: 84-7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 53, 91, 48 ]
84
[ "53-12=41", "91-48=43", "41+43=84" ]
Current State: 84:[12, 53, 91, 48], Operations: [] Exploring Operation: 53-12=41, Resulting Numbers: [91, 48, 41] Generated Node #2: [91, 48, 41] from Operation: 53-12=41 Current State: 84:[91, 48, 41], Operations: ['53-12=41'] Exploring Operation: 91-48=43, Resulting Numbers: [41, 43] Generated Node #3: [41, 43] from Operation: 91-48=43 Current State: 84:[41, 43], Operations: ['53-12=41', '91-48=43'] Exploring Operation: 41+43=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 9, 11, 58 ]
75
[ "15-9=6", "11+58=69", "6+69=75" ]
Current State: 75:[15, 9, 11, 58], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [11, 58, 6] Generated Node #2: [11, 58, 6] from Operation: 15-9=6 Current State: 75:[11, 58, 6], Operations: ['15-9=6'] Exploring Operation: 11+58=69, Resulting Numbers: [6, 69] Generated Node #3: [6, 69] from Operation: 11+58=69 Current State: 75:[6, 69], Operations: ['15-9=6', '11+58=69'] Exploring Operation: 6+69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 48, 4, 68, 40 ]
70
[ "48-40=8", "8/4=2", "68+2=70" ]
Current State: 70:[48, 4, 68, 40], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [4, 68, 8] Generated Node #2: [4, 68, 8] from Operation: 48-40=8 Current State: 70:[4, 68, 8], Operations: ['48-40=8'] Exploring Operation: 8/4=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 8/4=2 Current State: 70:[68, 2], Operations: ['48-40=8', '8/4=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 66, 68, 29, 7 ]
43
[ "68-66=2", "7*2=14", "29+14=43" ]
Current State: 43:[66, 68, 29, 7], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [29, 7, 2] Generated Node #2: [29, 7, 2] from Operation: 68-66=2 Current State: 43:[29, 7, 2], Operations: ['68-66=2'] Exploring Operation: 7*2=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 7*2=14 Current State: 43:[29, 14], Operations: ['68-66=2', '7*2=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 92, 23, 45, 21 ]
94
[ "92-45=47", "23-21=2", "47*2=94" ]
Current State: 94:[92, 23, 45, 21], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [23, 21, 47] Generated Node #2: [23, 21, 47] from Operation: 92-45=47 Current State: 94:[23, 21, 47], Operations: ['92-45=47'] Exploring Operation: 23-21=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 23-21=2 Current State: 94:[47, 2], Operations: ['92-45=47', '23-21=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 70, 41, 82 ]
44
[ "82-70=12", "12/4=3", "41+3=44" ]
Current State: 44:[4, 70, 41, 82], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [4, 41, 12] Generated Node #2: [4, 41, 12] from Operation: 82-70=12 Current State: 44:[4, 41, 12], Operations: ['82-70=12'] Exploring Operation: 12/4=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 12/4=3 Current State: 44:[41, 3], Operations: ['82-70=12', '12/4=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 11, 18, 61, 67 ]
70
[ "11*18=198", "61+67=128", "198-128=70" ]
Current State: 70:[11, 18, 61, 67], Operations: [] Exploring Operation: 11*18=198, Resulting Numbers: [61, 67, 198] Generated Node #2: [61, 67, 198] from Operation: 11*18=198 Current State: 70:[61, 67, 198], Operations: ['11*18=198'] Exploring Operation: 61+67=128, Resulting Numbers: [198, 128] Generated Node #3: [198, 128] from Operation: 61+67=128 Current State: 70:[198, 128], Operations: ['11*18=198', '61+67=128'] Exploring Operation: 198-128=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 22, 11, 22, 3 ]
88
[ "22*11=242", "22+242=264", "264/3=88" ]
Current State: 88:[22, 11, 22, 3], Operations: [] Exploring Operation: 22*11=242, Resulting Numbers: [3, 242] Generated Node #2: [3, 242] from Operation: 22*11=242 Current State: 88:[3, 242], Operations: ['22*11=242'] Exploring Operation: 22+242=264, Resulting Numbers: [3, 264] Generated Node #3: [3, 264] from Operation: 22+242=264 Current State: 88:[3, 264], Operations: ['22*11=242', '22+242=264'] Exploring Operation: 264/3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 63, 10, 8, 67 ]
21
[ "63+67=130", "130/10=13", "8+13=21" ]
Current State: 21:[63, 10, 8, 67], Operations: [] Exploring Operation: 63+67=130, Resulting Numbers: [10, 8, 130] Generated Node #2: [10, 8, 130] from Operation: 63+67=130 Current State: 21:[10, 8, 130], Operations: ['63+67=130'] Exploring Operation: 130/10=13, Resulting Numbers: [8, 13] Generated Node #3: [8, 13] from Operation: 130/10=13 Current State: 21:[8, 13], Operations: ['63+67=130', '130/10=13'] Exploring Operation: 8+13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 38, 67, 2, 23 ]
32
[ "38*2=76", "67-23=44", "76-44=32" ]
Current State: 32:[38, 67, 2, 23], Operations: [] Exploring Operation: 38*2=76, Resulting Numbers: [67, 23, 76] Generated Node #2: [67, 23, 76] from Operation: 38*2=76 Current State: 32:[67, 23, 76], Operations: ['38*2=76'] Exploring Operation: 67-23=44, Resulting Numbers: [76, 44] Generated Node #3: [76, 44] from Operation: 67-23=44 Current State: 32:[76, 44], Operations: ['38*2=76', '67-23=44'] Exploring Operation: 76-44=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 69, 83, 80 ]
81
[ "96-69=27", "83-80=3", "27*3=81" ]
Current State: 81:[96, 69, 83, 80], Operations: [] Exploring Operation: 96-69=27, Resulting Numbers: [83, 80, 27] Generated Node #2: [83, 80, 27] from Operation: 96-69=27 Current State: 81:[83, 80, 27], Operations: ['96-69=27'] Exploring Operation: 83-80=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 83-80=3 Current State: 81:[27, 3], Operations: ['96-69=27', '83-80=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 42, 23, 83, 74 ]
56
[ "42+23=65", "83-74=9", "65-9=56" ]
Current State: 56:[42, 23, 83, 74], Operations: [] Exploring Operation: 42+23=65, Resulting Numbers: [83, 74, 65] Generated Node #2: [83, 74, 65] from Operation: 42+23=65 Current State: 56:[83, 74, 65], Operations: ['42+23=65'] Exploring Operation: 83-74=9, Resulting Numbers: [65, 9] Generated Node #3: [65, 9] from Operation: 83-74=9 Current State: 56:[65, 9], Operations: ['42+23=65', '83-74=9'] Exploring Operation: 65-9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 14, 66, 10 ]
100
[ "74+66=140", "140/14=10", "10*10=100" ]
Current State: 100:[74, 14, 66, 10], Operations: [] Exploring Operation: 74+66=140, Resulting Numbers: [14, 10, 140] Generated Node #2: [14, 10, 140] from Operation: 74+66=140 Current State: 100:[14, 10, 140], Operations: ['74+66=140'] Exploring Operation: 140/14=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 140/14=10 Current State: 100:[10, 10], Operations: ['74+66=140', '140/14=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 96, 10, 49 ]
61
[ "96-94=2", "10+49=59", "2+59=61" ]
Current State: 61:[94, 96, 10, 49], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [10, 49, 2] Generated Node #2: [10, 49, 2] from Operation: 96-94=2 Current State: 61:[10, 49, 2], Operations: ['96-94=2'] Exploring Operation: 10+49=59, Resulting Numbers: [2, 59] Generated Node #3: [2, 59] from Operation: 10+49=59 Current State: 61:[2, 59], Operations: ['96-94=2', '10+49=59'] Exploring Operation: 2+59=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 97, 15, 53, 38 ]
62
[ "97+38=135", "135/15=9", "53+9=62" ]
Current State: 62:[97, 15, 53, 38], Operations: [] Exploring Operation: 97+38=135, Resulting Numbers: [15, 53, 135] Generated Node #2: [15, 53, 135] from Operation: 97+38=135 Current State: 62:[15, 53, 135], Operations: ['97+38=135'] Exploring Operation: 135/15=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 135/15=9 Current State: 62:[53, 9], Operations: ['97+38=135', '135/15=9'] Exploring Operation: 53+9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 90, 20, 5, 46 ]
84
[ "90/5=18", "20+46=66", "18+66=84" ]
Current State: 84:[90, 20, 5, 46], Operations: [] Exploring Operation: 90/5=18, Resulting Numbers: [20, 46, 18] Generated Node #2: [20, 46, 18] from Operation: 90/5=18 Current State: 84:[20, 46, 18], Operations: ['90/5=18'] Exploring Operation: 20+46=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 20+46=66 Current State: 84:[18, 66], Operations: ['90/5=18', '20+46=66'] Exploring Operation: 18+66=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 1, 66, 70, 18 ]
71
[ "70-66=4", "18*4=72", "72-1=71" ]
Current State: 71:[1, 66, 70, 18], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [1, 18, 4] Generated Node #2: [1, 18, 4] from Operation: 70-66=4 Current State: 71:[1, 18, 4], Operations: ['70-66=4'] Exploring Operation: 18*4=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 18*4=72 Current State: 71:[1, 72], Operations: ['70-66=4', '18*4=72'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 20, 70, 34 ]
66
[ "34-20=14", "70/14=5", "71-5=66" ]
Current State: 66:[71, 20, 70, 34], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [71, 70, 14] Generated Node #2: [71, 70, 14] from Operation: 34-20=14 Current State: 66:[71, 70, 14], Operations: ['34-20=14'] Exploring Operation: 70/14=5, Resulting Numbers: [71, 5] Generated Node #3: [71, 5] from Operation: 70/14=5 Current State: 66:[71, 5], Operations: ['34-20=14', '70/14=5'] Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 90, 48, 60, 32 ]
24
[ "90-60=30", "32-30=2", "48/2=24" ]
Current State: 24:[90, 48, 60, 32], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [48, 32, 30] Generated Node #2: [48, 32, 30] from Operation: 90-60=30 Current State: 24:[48, 32, 30], Operations: ['90-60=30'] Exploring Operation: 32-30=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 32-30=2 Current State: 24:[48, 2], Operations: ['90-60=30', '32-30=2'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 31, 38, 32, 33 ]
54
[ "33-31=2", "32/2=16", "38+16=54" ]
Current State: 54:[31, 38, 32, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [38, 32, 2] Generated Node #2: [38, 32, 2] from Operation: 33-31=2 Current State: 54:[38, 32, 2], Operations: ['33-31=2'] Exploring Operation: 32/2=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 32/2=16 Current State: 54:[38, 16], Operations: ['33-31=2', '32/2=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 34, 93, 85, 80 ]
44
[ "93-85=8", "80/8=10", "34+10=44" ]
Current State: 44:[34, 93, 85, 80], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [34, 80, 8] Generated Node #2: [34, 80, 8] from Operation: 93-85=8 Current State: 44:[34, 80, 8], Operations: ['93-85=8'] Exploring Operation: 80/8=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 80/8=10 Current State: 44:[34, 10], Operations: ['93-85=8', '80/8=10'] Exploring Operation: 34+10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 40, 3, 23, 33 ]
92
[ "40-3=37", "37-33=4", "23*4=92" ]
Current State: 92:[40, 3, 23, 33], Operations: [] Exploring Operation: 40-3=37, Resulting Numbers: [23, 33, 37] Generated Node #2: [23, 33, 37] from Operation: 40-3=37 Current State: 92:[23, 33, 37], Operations: ['40-3=37'] Exploring Operation: 37-33=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 37-33=4 Current State: 92:[23, 4], Operations: ['40-3=37', '37-33=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 93, 9, 32 ]
20
[ "93-72=21", "9+32=41", "41-21=20" ]
Current State: 20:[72, 93, 9, 32], Operations: [] Exploring Operation: 93-72=21, Resulting Numbers: [9, 32, 21] Generated Node #2: [9, 32, 21] from Operation: 93-72=21 Current State: 20:[9, 32, 21], Operations: ['93-72=21'] Exploring Operation: 9+32=41, Resulting Numbers: [21, 41] Generated Node #3: [21, 41] from Operation: 9+32=41 Current State: 20:[21, 41], Operations: ['93-72=21', '9+32=41'] Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 70, 45, 42, 10 ]
80
[ "70/10=7", "45+42=87", "87-7=80" ]
Current State: 80:[70, 45, 42, 10], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [45, 42, 7] Generated Node #2: [45, 42, 7] from Operation: 70/10=7 Current State: 80:[45, 42, 7], Operations: ['70/10=7'] Exploring Operation: 45+42=87, Resulting Numbers: [7, 87] Generated Node #3: [7, 87] from Operation: 45+42=87 Current State: 80:[7, 87], Operations: ['70/10=7', '45+42=87'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 95, 47, 98 ]
53
[ "98-95=3", "2*3=6", "47+6=53" ]
Current State: 53:[2, 95, 47, 98], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [2, 47, 3] Generated Node #2: [2, 47, 3] from Operation: 98-95=3 Current State: 53:[2, 47, 3], Operations: ['98-95=3'] Exploring Operation: 2*3=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 2*3=6 Current State: 53:[47, 6], Operations: ['98-95=3', '2*3=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 23, 39, 71 ]
31
[ "71-23=48", "48/6=8", "39-8=31" ]
Current State: 31:[6, 23, 39, 71], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [6, 39, 48] Generated Node #2: [6, 39, 48] from Operation: 71-23=48 Current State: 31:[6, 39, 48], Operations: ['71-23=48'] Exploring Operation: 48/6=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 48/6=8 Current State: 31:[39, 8], Operations: ['71-23=48', '48/6=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 18, 48, 30, 76 ]
36
[ "48+30=78", "78-76=2", "18*2=36" ]
Current State: 36:[18, 48, 30, 76], Operations: [] Exploring Operation: 48+30=78, Resulting Numbers: [18, 76, 78] Generated Node #2: [18, 76, 78] from Operation: 48+30=78 Current State: 36:[18, 76, 78], Operations: ['48+30=78'] Exploring Operation: 78-76=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 78-76=2 Current State: 36:[18, 2], Operations: ['48+30=78', '78-76=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 78, 22, 55, 70 ]
70
[ "78-22=56", "56-55=1", "70*1=70" ]
Current State: 70:[78, 22, 55, 70], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [55, 70, 56] Generated Node #2: [55, 70, 56] from Operation: 78-22=56 Current State: 70:[55, 70, 56], Operations: ['78-22=56'] Exploring Operation: 56-55=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 56-55=1 Current State: 70:[70, 1], Operations: ['78-22=56', '56-55=1'] Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 57, 34, 88 ]
57
[ "55+34=89", "89-88=1", "57*1=57" ]
Current State: 57:[55, 57, 34, 88], Operations: [] Exploring Operation: 55+34=89, Resulting Numbers: [57, 88, 89] Generated Node #2: [57, 88, 89] from Operation: 55+34=89 Current State: 57:[57, 88, 89], Operations: ['55+34=89'] Exploring Operation: 89-88=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 89-88=1 Current State: 57:[57, 1], Operations: ['55+34=89', '89-88=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 86, 94, 84, 74 ]
54
[ "86-84=2", "74*2=148", "148-94=54" ]
Current State: 54:[86, 94, 84, 74], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [94, 74, 2] Generated Node #2: [94, 74, 2] from Operation: 86-84=2 Current State: 54:[94, 74, 2], Operations: ['86-84=2'] Exploring Operation: 74*2=148, Resulting Numbers: [94, 148] Generated Node #3: [94, 148] from Operation: 74*2=148 Current State: 54:[94, 148], Operations: ['86-84=2', '74*2=148'] Exploring Operation: 148-94=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 63, 83, 37, 38 ]
19
[ "83-63=20", "38-37=1", "20-1=19" ]
Current State: 19:[63, 83, 37, 38], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [37, 38, 20] Generated Node #2: [37, 38, 20] from Operation: 83-63=20 Current State: 19:[37, 38, 20], Operations: ['83-63=20'] Exploring Operation: 38-37=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 38-37=1 Current State: 19:[20, 1], Operations: ['83-63=20', '38-37=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 73, 42, 35 ]
48
[ "73-18=55", "42-35=7", "55-7=48" ]
Current State: 48:[18, 73, 42, 35], Operations: [] Exploring Operation: 73-18=55, Resulting Numbers: [42, 35, 55] Generated Node #2: [42, 35, 55] from Operation: 73-18=55 Current State: 48:[42, 35, 55], Operations: ['73-18=55'] Exploring Operation: 42-35=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 42-35=7 Current State: 48:[55, 7], Operations: ['73-18=55', '42-35=7'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 7, 95, 11, 56 ]
57
[ "7+95=102", "56-11=45", "102-45=57" ]
Current State: 57:[7, 95, 11, 56], Operations: [] Exploring Operation: 7+95=102, Resulting Numbers: [11, 56, 102] Generated Node #2: [11, 56, 102] from Operation: 7+95=102 Current State: 57:[11, 56, 102], Operations: ['7+95=102'] Exploring Operation: 56-11=45, Resulting Numbers: [102, 45] Generated Node #3: [102, 45] from Operation: 56-11=45 Current State: 57:[102, 45], Operations: ['7+95=102', '56-11=45'] Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 20, 18, 76 ]
68
[ "20*18=360", "360/45=8", "76-8=68" ]
Current State: 68:[45, 20, 18, 76], Operations: [] Exploring Operation: 20*18=360, Resulting Numbers: [45, 76, 360] Generated Node #2: [45, 76, 360] from Operation: 20*18=360 Current State: 68:[45, 76, 360], Operations: ['20*18=360'] Exploring Operation: 360/45=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 360/45=8 Current State: 68:[76, 8], Operations: ['20*18=360', '360/45=8'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 18, 21, 28 ]
62
[ "21-18=3", "28+3=31", "2*31=62" ]
Current State: 62:[2, 18, 21, 28], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [2, 28, 3] Generated Node #2: [2, 28, 3] from Operation: 21-18=3 Current State: 62:[2, 28, 3], Operations: ['21-18=3'] Exploring Operation: 28+3=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 28+3=31 Current State: 62:[2, 31], Operations: ['21-18=3', '28+3=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 3, 78, 56 ]
91
[ "51-3=48", "78*56=4368", "4368/48=91" ]
Current State: 91:[51, 3, 78, 56], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [78, 56, 48] Generated Node #2: [78, 56, 48] from Operation: 51-3=48 Current State: 91:[78, 56, 48], Operations: ['51-3=48'] Exploring Operation: 78*56=4368, Resulting Numbers: [48, 4368] Generated Node #3: [48, 4368] from Operation: 78*56=4368 Current State: 91:[48, 4368], Operations: ['51-3=48', '78*56=4368'] Exploring Operation: 4368/48=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 77, 42, 83, 54 ]
16
[ "83-77=6", "42+54=96", "96/6=16" ]
Current State: 16:[77, 42, 83, 54], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [42, 54, 6] Generated Node #2: [42, 54, 6] from Operation: 83-77=6 Current State: 16:[42, 54, 6], Operations: ['83-77=6'] Exploring Operation: 42+54=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 42+54=96 Current State: 16:[6, 96], Operations: ['83-77=6', '42+54=96'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 80, 77, 25, 9 ]
68
[ "80+77=157", "25*9=225", "225-157=68" ]
Current State: 68:[80, 77, 25, 9], Operations: [] Exploring Operation: 80+77=157, Resulting Numbers: [25, 9, 157] Generated Node #2: [25, 9, 157] from Operation: 80+77=157 Current State: 68:[25, 9, 157], Operations: ['80+77=157'] Exploring Operation: 25*9=225, Resulting Numbers: [157, 225] Generated Node #3: [157, 225] from Operation: 25*9=225 Current State: 68:[157, 225], Operations: ['80+77=157', '25*9=225'] Exploring Operation: 225-157=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 4, 81, 22 ]
82
[ "81-66=15", "4*15=60", "22+60=82" ]
Current State: 82:[66, 4, 81, 22], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [4, 22, 15] Generated Node #2: [4, 22, 15] from Operation: 81-66=15 Current State: 82:[4, 22, 15], Operations: ['81-66=15'] Exploring Operation: 4*15=60, Resulting Numbers: [22, 60] Generated Node #3: [22, 60] from Operation: 4*15=60 Current State: 82:[22, 60], Operations: ['81-66=15', '4*15=60'] Exploring Operation: 22+60=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 23, 7, 88, 40 ]
33
[ "23*7=161", "88+40=128", "161-128=33" ]
Current State: 33:[23, 7, 88, 40], Operations: [] Exploring Operation: 23*7=161, Resulting Numbers: [88, 40, 161] Generated Node #2: [88, 40, 161] from Operation: 23*7=161 Current State: 33:[88, 40, 161], Operations: ['23*7=161'] Exploring Operation: 88+40=128, Resulting Numbers: [161, 128] Generated Node #3: [161, 128] from Operation: 88+40=128 Current State: 33:[161, 128], Operations: ['23*7=161', '88+40=128'] Exploring Operation: 161-128=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 86, 89, 46, 94 ]
44
[ "89-86=3", "46*3=138", "138-94=44" ]
Current State: 44:[86, 89, 46, 94], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [46, 94, 3] Generated Node #2: [46, 94, 3] from Operation: 89-86=3 Current State: 44:[46, 94, 3], Operations: ['89-86=3'] Exploring Operation: 46*3=138, Resulting Numbers: [94, 138] Generated Node #3: [94, 138] from Operation: 46*3=138 Current State: 44:[94, 138], Operations: ['89-86=3', '46*3=138'] Exploring Operation: 138-94=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 50, 25, 34 ]
64
[ "23+50=73", "34-25=9", "73-9=64" ]
Current State: 64:[23, 50, 25, 34], Operations: [] Exploring Operation: 23+50=73, Resulting Numbers: [25, 34, 73] Generated Node #2: [25, 34, 73] from Operation: 23+50=73 Current State: 64:[25, 34, 73], Operations: ['23+50=73'] Exploring Operation: 34-25=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 34-25=9 Current State: 64:[73, 9], Operations: ['23+50=73', '34-25=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 87, 89, 94, 38 ]
66
[ "89-87=2", "94+38=132", "132/2=66" ]
Current State: 66:[87, 89, 94, 38], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [94, 38, 2] Generated Node #2: [94, 38, 2] from Operation: 89-87=2 Current State: 66:[94, 38, 2], Operations: ['89-87=2'] Exploring Operation: 94+38=132, Resulting Numbers: [2, 132] Generated Node #3: [2, 132] from Operation: 94+38=132 Current State: 66:[2, 132], Operations: ['89-87=2', '94+38=132'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 58, 60, 65 ]
56
[ "60-52=8", "65-58=7", "8*7=56" ]
Current State: 56:[52, 58, 60, 65], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [58, 65, 8] Generated Node #2: [58, 65, 8] from Operation: 60-52=8 Current State: 56:[58, 65, 8], Operations: ['60-52=8'] Exploring Operation: 65-58=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 65-58=7 Current State: 56:[8, 7], Operations: ['60-52=8', '65-58=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 70, 53, 4 ]
89
[ "74+70=144", "144/4=36", "53+36=89" ]
Current State: 89:[74, 70, 53, 4], Operations: [] Exploring Operation: 74+70=144, Resulting Numbers: [53, 4, 144] Generated Node #2: [53, 4, 144] from Operation: 74+70=144 Current State: 89:[53, 4, 144], Operations: ['74+70=144'] Exploring Operation: 144/4=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 144/4=36 Current State: 89:[53, 36], Operations: ['74+70=144', '144/4=36'] Exploring Operation: 53+36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 68, 54, 61, 23 ]
63
[ "54+61=115", "115/23=5", "68-5=63" ]
Current State: 63:[68, 54, 61, 23], Operations: [] Exploring Operation: 54+61=115, Resulting Numbers: [68, 23, 115] Generated Node #2: [68, 23, 115] from Operation: 54+61=115 Current State: 63:[68, 23, 115], Operations: ['54+61=115'] Exploring Operation: 115/23=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 115/23=5 Current State: 63:[68, 5], Operations: ['54+61=115', '115/23=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 11, 62, 87, 81 ]
45
[ "62-11=51", "87-81=6", "51-6=45" ]
Current State: 45:[11, 62, 87, 81], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [87, 81, 51] Generated Node #2: [87, 81, 51] from Operation: 62-11=51 Current State: 45:[87, 81, 51], Operations: ['62-11=51'] Exploring Operation: 87-81=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 87-81=6 Current State: 45:[51, 6], Operations: ['62-11=51', '87-81=6'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 21, 47, 49, 41 ]
83
[ "49-47=2", "21*2=42", "41+42=83" ]
Current State: 83:[21, 47, 49, 41], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [21, 41, 2] Generated Node #2: [21, 41, 2] from Operation: 49-47=2 Current State: 83:[21, 41, 2], Operations: ['49-47=2'] Exploring Operation: 21*2=42, Resulting Numbers: [41, 42] Generated Node #3: [41, 42] from Operation: 21*2=42 Current State: 83:[41, 42], Operations: ['49-47=2', '21*2=42'] Exploring Operation: 41+42=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 12, 12, 43 ]
39
[ "12-12=0", "43*0=0", "39+0=39" ]
Current State: 39:[39, 12, 12, 43], Operations: [] Exploring Operation: 12-12=0, Resulting Numbers: [39, 43, 0] Generated Node #2: [39, 43, 0] from Operation: 12-12=0 Current State: 39:[39, 43, 0], Operations: ['12-12=0'] Exploring Operation: 43*0=0, Resulting Numbers: [39, 0] Generated Node #3: [39, 0] from Operation: 43*0=0 Current State: 39:[39, 0], Operations: ['12-12=0', '43*0=0'] Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 53, 77, 79 ]
55
[ "81+77=158", "158/79=2", "53+2=55" ]
Current State: 55:[81, 53, 77, 79], Operations: [] Exploring Operation: 81+77=158, Resulting Numbers: [53, 79, 158] Generated Node #2: [53, 79, 158] from Operation: 81+77=158 Current State: 55:[53, 79, 158], Operations: ['81+77=158'] Exploring Operation: 158/79=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 158/79=2 Current State: 55:[53, 2], Operations: ['81+77=158', '158/79=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 96, 92, 19, 71 ]
98
[ "96+92=188", "19+71=90", "188-90=98" ]
Current State: 98:[96, 92, 19, 71], Operations: [] Exploring Operation: 96+92=188, Resulting Numbers: [19, 71, 188] Generated Node #2: [19, 71, 188] from Operation: 96+92=188 Current State: 98:[19, 71, 188], Operations: ['96+92=188'] Exploring Operation: 19+71=90, Resulting Numbers: [188, 90] Generated Node #3: [188, 90] from Operation: 19+71=90 Current State: 98:[188, 90], Operations: ['96+92=188', '19+71=90'] Exploring Operation: 188-90=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 9, 68, 55 ]
94
[ "55-37=18", "9*18=162", "162-68=94" ]
Current State: 94:[37, 9, 68, 55], Operations: [] Exploring Operation: 55-37=18, Resulting Numbers: [9, 68, 18] Generated Node #2: [9, 68, 18] from Operation: 55-37=18 Current State: 94:[9, 68, 18], Operations: ['55-37=18'] Exploring Operation: 9*18=162, Resulting Numbers: [68, 162] Generated Node #3: [68, 162] from Operation: 9*18=162 Current State: 94:[68, 162], Operations: ['55-37=18', '9*18=162'] Exploring Operation: 162-68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 98, 12, 40 ]
19
[ "98-51=47", "40-12=28", "47-28=19" ]
Current State: 19:[51, 98, 12, 40], Operations: [] Exploring Operation: 98-51=47, Resulting Numbers: [12, 40, 47] Generated Node #2: [12, 40, 47] from Operation: 98-51=47 Current State: 19:[12, 40, 47], Operations: ['98-51=47'] Exploring Operation: 40-12=28, Resulting Numbers: [47, 28] Generated Node #3: [47, 28] from Operation: 40-12=28 Current State: 19:[47, 28], Operations: ['98-51=47', '40-12=28'] Exploring Operation: 47-28=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 72, 38, 28 ]
38
[ "72-24=48", "38-28=10", "48-10=38" ]
Current State: 38:[24, 72, 38, 28], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [38, 28, 48] Generated Node #2: [38, 28, 48] from Operation: 72-24=48 Current State: 38:[38, 28, 48], Operations: ['72-24=48'] Exploring Operation: 38-28=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 38-28=10 Current State: 38:[48, 10], Operations: ['72-24=48', '38-28=10'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4