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
[ 15, 2, 68, 80 ]
90
[ "80-68=12", "15*12=180", "180/2=90" ]
Current State: 90:[15, 2, 68, 80], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [15, 2, 12] Generated Node #2: [15, 2, 12] from Operation: 80-68=12 Current State: 90:[15, 2, 12], Operations: ['80-68=12'] Exploring Operation: 15*12=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 15*12=180 Current State: 90:[2, 180], Operations: ['80-68=12', '15*12=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 7, 48, 67 ]
53
[ "96*7=672", "672/48=14", "67-14=53" ]
Current State: 53:[96, 7, 48, 67], Operations: [] Exploring Operation: 96*7=672, Resulting Numbers: [48, 67, 672] Generated Node #2: [48, 67, 672] from Operation: 96*7=672 Current State: 53:[48, 67, 672], Operations: ['96*7=672'] Exploring Operation: 672/48=14, Resulting Numbers: [67, 14] Generated Node #3: [67, 14] from Operation: 672/48=14 Current State: 53:[67, 14], Operations: ['96*7=672', '672/48=14'] Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 25, 84, 40 ]
52
[ "32-25=7", "84/7=12", "40+12=52" ]
Current State: 52:[32, 25, 84, 40], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [84, 40, 7] Generated Node #2: [84, 40, 7] from Operation: 32-25=7 Current State: 52:[84, 40, 7], Operations: ['32-25=7'] Exploring Operation: 84/7=12, Resulting Numbers: [40, 12] Generated Node #3: [40, 12] from Operation: 84/7=12 Current State: 52:[40, 12], Operations: ['32-25=7', '84/7=12'] Exploring Operation: 40+12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 56, 70, 92, 55 ]
21
[ "56+70=126", "92+55=147", "147-126=21" ]
Current State: 21:[56, 70, 92, 55], Operations: [] Exploring Operation: 56+70=126, Resulting Numbers: [92, 55, 126] Generated Node #2: [92, 55, 126] from Operation: 56+70=126 Current State: 21:[92, 55, 126], Operations: ['56+70=126'] Exploring Operation: 92+55=147, Resulting Numbers: [126, 147] Generated Node #3: [126, 147] from Operation: 92+55=147 Current State: 21:[126, 147], Operations: ['56+70=126', '92+55=147'] Exploring Operation: 147-126=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 63, 7, 28 ]
12
[ "63-7=56", "56/28=2", "10+2=12" ]
Current State: 12:[10, 63, 7, 28], Operations: [] Exploring Operation: 63-7=56, Resulting Numbers: [10, 28, 56] Generated Node #2: [10, 28, 56] from Operation: 63-7=56 Current State: 12:[10, 28, 56], Operations: ['63-7=56'] Exploring Operation: 56/28=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 56/28=2 Current State: 12:[10, 2], Operations: ['63-7=56', '56/28=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 93, 39, 1, 22 ]
75
[ "93-39=54", "22-1=21", "54+21=75" ]
Current State: 75:[93, 39, 1, 22], Operations: [] Exploring Operation: 93-39=54, Resulting Numbers: [1, 22, 54] Generated Node #2: [1, 22, 54] from Operation: 93-39=54 Current State: 75:[1, 22, 54], Operations: ['93-39=54'] Exploring Operation: 22-1=21, Resulting Numbers: [54, 21] Generated Node #3: [54, 21] from Operation: 22-1=21 Current State: 75:[54, 21], Operations: ['93-39=54', '22-1=21'] Exploring Operation: 54+21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 48, 1, 99, 33 ]
18
[ "48*1=48", "99-33=66", "66-48=18" ]
Current State: 18:[48, 1, 99, 33], Operations: [] Exploring Operation: 48*1=48, Resulting Numbers: [99, 33, 48] Generated Node #2: [99, 33, 48] from Operation: 48*1=48 Current State: 18:[99, 33, 48], Operations: ['48*1=48'] Exploring Operation: 99-33=66, Resulting Numbers: [48, 66] Generated Node #3: [48, 66] from Operation: 99-33=66 Current State: 18:[48, 66], Operations: ['48*1=48', '99-33=66'] Exploring Operation: 66-48=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 46, 61, 36 ]
81
[ "46-36=10", "2*10=20", "61+20=81" ]
Current State: 81:[2, 46, 61, 36], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [2, 61, 10] Generated Node #2: [2, 61, 10] from Operation: 46-36=10 Current State: 81:[2, 61, 10], Operations: ['46-36=10'] Exploring Operation: 2*10=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 2*10=20 Current State: 81:[61, 20], Operations: ['46-36=10', '2*10=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 74, 6, 2, 51 ]
17
[ "74-6=68", "68/2=34", "51-34=17" ]
Current State: 17:[74, 6, 2, 51], Operations: [] Exploring Operation: 74-6=68, Resulting Numbers: [2, 51, 68] Generated Node #2: [2, 51, 68] from Operation: 74-6=68 Current State: 17:[2, 51, 68], Operations: ['74-6=68'] Exploring Operation: 68/2=34, Resulting Numbers: [51, 34] Generated Node #3: [51, 34] from Operation: 68/2=34 Current State: 17:[51, 34], Operations: ['74-6=68', '68/2=34'] Exploring Operation: 51-34=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 17, 9, 18, 84 ]
94
[ "17-9=8", "18+84=102", "102-8=94" ]
Current State: 94:[17, 9, 18, 84], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [18, 84, 8] Generated Node #2: [18, 84, 8] from Operation: 17-9=8 Current State: 94:[18, 84, 8], Operations: ['17-9=8'] Exploring Operation: 18+84=102, Resulting Numbers: [8, 102] Generated Node #3: [8, 102] from Operation: 18+84=102 Current State: 94:[8, 102], Operations: ['17-9=8', '18+84=102'] Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 82, 47, 57 ]
36
[ "82-36=46", "57-47=10", "46-10=36" ]
Current State: 36:[36, 82, 47, 57], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [47, 57, 46] Generated Node #2: [47, 57, 46] from Operation: 82-36=46 Current State: 36:[47, 57, 46], Operations: ['82-36=46'] Exploring Operation: 57-47=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 57-47=10 Current State: 36:[46, 10], Operations: ['82-36=46', '57-47=10'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 77, 59, 47, 60 ]
79
[ "77*47=3619", "59*60=3540", "3619-3540=79" ]
Current State: 79:[77, 59, 47, 60], Operations: [] Exploring Operation: 77*47=3619, Resulting Numbers: [59, 60, 3619] Generated Node #2: [59, 60, 3619] from Operation: 77*47=3619 Current State: 79:[59, 60, 3619], Operations: ['77*47=3619'] Exploring Operation: 59*60=3540, Resulting Numbers: [3619, 3540] Generated Node #3: [3619, 3540] from Operation: 59*60=3540 Current State: 79:[3619, 3540], Operations: ['77*47=3619', '59*60=3540'] Exploring Operation: 3619-3540=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 20, 74, 14 ]
93
[ "20-15=5", "74+14=88", "5+88=93" ]
Current State: 93:[15, 20, 74, 14], Operations: [] Exploring Operation: 20-15=5, Resulting Numbers: [74, 14, 5] Generated Node #2: [74, 14, 5] from Operation: 20-15=5 Current State: 93:[74, 14, 5], Operations: ['20-15=5'] Exploring Operation: 74+14=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 74+14=88 Current State: 93:[5, 88], Operations: ['20-15=5', '74+14=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 84, 19, 74, 13 ]
16
[ "84+19=103", "74+13=87", "103-87=16" ]
Current State: 16:[84, 19, 74, 13], Operations: [] Exploring Operation: 84+19=103, Resulting Numbers: [74, 13, 103] Generated Node #2: [74, 13, 103] from Operation: 84+19=103 Current State: 16:[74, 13, 103], Operations: ['84+19=103'] Exploring Operation: 74+13=87, Resulting Numbers: [103, 87] Generated Node #3: [103, 87] from Operation: 74+13=87 Current State: 16:[103, 87], Operations: ['84+19=103', '74+13=87'] Exploring Operation: 103-87=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 22, 91, 44, 38 ]
31
[ "22+91=113", "44+38=82", "113-82=31" ]
Current State: 31:[22, 91, 44, 38], Operations: [] Exploring Operation: 22+91=113, Resulting Numbers: [44, 38, 113] Generated Node #2: [44, 38, 113] from Operation: 22+91=113 Current State: 31:[44, 38, 113], Operations: ['22+91=113'] Exploring Operation: 44+38=82, Resulting Numbers: [113, 82] Generated Node #3: [113, 82] from Operation: 44+38=82 Current State: 31:[113, 82], Operations: ['22+91=113', '44+38=82'] Exploring Operation: 113-82=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 71, 67, 99 ]
17
[ "71-67=4", "29*4=116", "116-99=17" ]
Current State: 17:[29, 71, 67, 99], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [29, 99, 4] Generated Node #2: [29, 99, 4] from Operation: 71-67=4 Current State: 17:[29, 99, 4], Operations: ['71-67=4'] Exploring Operation: 29*4=116, Resulting Numbers: [99, 116] Generated Node #3: [99, 116] from Operation: 29*4=116 Current State: 17:[99, 116], Operations: ['71-67=4', '29*4=116'] Exploring Operation: 116-99=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 72, 74, 18, 39 ]
30
[ "74-72=2", "18/2=9", "39-9=30" ]
Current State: 30:[72, 74, 18, 39], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [18, 39, 2] Generated Node #2: [18, 39, 2] from Operation: 74-72=2 Current State: 30:[18, 39, 2], Operations: ['74-72=2'] Exploring Operation: 18/2=9, Resulting Numbers: [39, 9] Generated Node #3: [39, 9] from Operation: 18/2=9 Current State: 30:[39, 9], Operations: ['74-72=2', '18/2=9'] Exploring Operation: 39-9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 77, 5, 55 ]
86
[ "77-2=75", "55/5=11", "75+11=86" ]
Current State: 86:[2, 77, 5, 55], Operations: [] Exploring Operation: 77-2=75, Resulting Numbers: [5, 55, 75] Generated Node #2: [5, 55, 75] from Operation: 77-2=75 Current State: 86:[5, 55, 75], Operations: ['77-2=75'] Exploring Operation: 55/5=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 55/5=11 Current State: 86:[75, 11], Operations: ['77-2=75', '55/5=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 14, 2, 56, 25 ]
19
[ "14-2=12", "56-25=31", "31-12=19" ]
Current State: 19:[14, 2, 56, 25], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [56, 25, 12] Generated Node #2: [56, 25, 12] from Operation: 14-2=12 Current State: 19:[56, 25, 12], Operations: ['14-2=12'] Exploring Operation: 56-25=31, Resulting Numbers: [12, 31] Generated Node #3: [12, 31] from Operation: 56-25=31 Current State: 19:[12, 31], Operations: ['14-2=12', '56-25=31'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 61, 72, 73, 86 ]
10
[ "61*86=5246", "72*73=5256", "5256-5246=10" ]
Current State: 10:[61, 72, 73, 86], Operations: [] Exploring Operation: 61*86=5246, Resulting Numbers: [72, 73, 5246] Generated Node #2: [72, 73, 5246] from Operation: 61*86=5246 Current State: 10:[72, 73, 5246], Operations: ['61*86=5246'] Exploring Operation: 72*73=5256, Resulting Numbers: [5246, 5256] Generated Node #3: [5246, 5256] from Operation: 72*73=5256 Current State: 10:[5246, 5256], Operations: ['61*86=5246', '72*73=5256'] Exploring Operation: 5256-5246=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 73, 67, 87, 29 ]
82
[ "73+67=140", "87-29=58", "140-58=82" ]
Current State: 82:[73, 67, 87, 29], Operations: [] Exploring Operation: 73+67=140, Resulting Numbers: [87, 29, 140] Generated Node #2: [87, 29, 140] from Operation: 73+67=140 Current State: 82:[87, 29, 140], Operations: ['73+67=140'] Exploring Operation: 87-29=58, Resulting Numbers: [140, 58] Generated Node #3: [140, 58] from Operation: 87-29=58 Current State: 82:[140, 58], Operations: ['73+67=140', '87-29=58'] Exploring Operation: 140-58=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 89, 49, 20, 8 ]
100
[ "89-49=40", "20*40=800", "800/8=100" ]
Current State: 100:[89, 49, 20, 8], Operations: [] Exploring Operation: 89-49=40, Resulting Numbers: [20, 8, 40] Generated Node #2: [20, 8, 40] from Operation: 89-49=40 Current State: 100:[20, 8, 40], Operations: ['89-49=40'] Exploring Operation: 20*40=800, Resulting Numbers: [8, 800] Generated Node #3: [8, 800] from Operation: 20*40=800 Current State: 100:[8, 800], Operations: ['89-49=40', '20*40=800'] Exploring Operation: 800/8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 85, 87, 48, 89 ]
35
[ "85+87=172", "48+89=137", "172-137=35" ]
Current State: 35:[85, 87, 48, 89], Operations: [] Exploring Operation: 85+87=172, Resulting Numbers: [48, 89, 172] Generated Node #2: [48, 89, 172] from Operation: 85+87=172 Current State: 35:[48, 89, 172], Operations: ['85+87=172'] Exploring Operation: 48+89=137, Resulting Numbers: [172, 137] Generated Node #3: [172, 137] from Operation: 48+89=137 Current State: 35:[172, 137], Operations: ['85+87=172', '48+89=137'] Exploring Operation: 172-137=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 74, 42, 42, 70 ]
80
[ "74-42=32", "42+70=112", "112-32=80" ]
Current State: 80:[74, 42, 42, 70], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [70, 32] Generated Node #2: [70, 32] from Operation: 74-42=32 Current State: 80:[70, 32], Operations: ['74-42=32'] Exploring Operation: 42+70=112, Resulting Numbers: [32, 112] Generated Node #3: [32, 112] from Operation: 42+70=112 Current State: 80:[32, 112], Operations: ['74-42=32', '42+70=112'] Exploring Operation: 112-32=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 96, 9, 38, 16 ]
83
[ "96+9=105", "38-16=22", "105-22=83" ]
Current State: 83:[96, 9, 38, 16], Operations: [] Exploring Operation: 96+9=105, Resulting Numbers: [38, 16, 105] Generated Node #2: [38, 16, 105] from Operation: 96+9=105 Current State: 83:[38, 16, 105], Operations: ['96+9=105'] Exploring Operation: 38-16=22, Resulting Numbers: [105, 22] Generated Node #3: [105, 22] from Operation: 38-16=22 Current State: 83:[105, 22], Operations: ['96+9=105', '38-16=22'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 94, 13, 84, 12 ]
22
[ "94+84=178", "13*12=156", "178-156=22" ]
Current State: 22:[94, 13, 84, 12], Operations: [] Exploring Operation: 94+84=178, Resulting Numbers: [13, 12, 178] Generated Node #2: [13, 12, 178] from Operation: 94+84=178 Current State: 22:[13, 12, 178], Operations: ['94+84=178'] Exploring Operation: 13*12=156, Resulting Numbers: [178, 156] Generated Node #3: [178, 156] from Operation: 13*12=156 Current State: 22:[178, 156], Operations: ['94+84=178', '13*12=156'] Exploring Operation: 178-156=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 71, 42, 5 ]
21
[ "71-8=63", "42+63=105", "105/5=21" ]
Current State: 21:[8, 71, 42, 5], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [42, 5, 63] Generated Node #2: [42, 5, 63] from Operation: 71-8=63 Current State: 21:[42, 5, 63], Operations: ['71-8=63'] Exploring Operation: 42+63=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 42+63=105 Current State: 21:[5, 105], Operations: ['71-8=63', '42+63=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 23, 87, 28 ]
25
[ "57-23=34", "87-28=59", "59-34=25" ]
Current State: 25:[57, 23, 87, 28], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [87, 28, 34] Generated Node #2: [87, 28, 34] from Operation: 57-23=34 Current State: 25:[87, 28, 34], Operations: ['57-23=34'] Exploring Operation: 87-28=59, Resulting Numbers: [34, 59] Generated Node #3: [34, 59] from Operation: 87-28=59 Current State: 25:[34, 59], Operations: ['57-23=34', '87-28=59'] Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 24, 68, 91 ]
25
[ "24+68=92", "92-91=1", "25*1=25" ]
Current State: 25:[25, 24, 68, 91], Operations: [] Exploring Operation: 24+68=92, Resulting Numbers: [25, 91, 92] Generated Node #2: [25, 91, 92] from Operation: 24+68=92 Current State: 25:[25, 91, 92], Operations: ['24+68=92'] Exploring Operation: 92-91=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 92-91=1 Current State: 25:[25, 1], Operations: ['24+68=92', '92-91=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 41, 45, 51 ]
16
[ "21*41=861", "861-45=816", "816/51=16" ]
Current State: 16:[21, 41, 45, 51], Operations: [] Exploring Operation: 21*41=861, Resulting Numbers: [45, 51, 861] Generated Node #2: [45, 51, 861] from Operation: 21*41=861 Current State: 16:[45, 51, 861], Operations: ['21*41=861'] Exploring Operation: 861-45=816, Resulting Numbers: [51, 816] Generated Node #3: [51, 816] from Operation: 861-45=816 Current State: 16:[51, 816], Operations: ['21*41=861', '861-45=816'] Exploring Operation: 816/51=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 39, 88, 2 ]
98
[ "69+39=108", "88+108=196", "196/2=98" ]
Current State: 98:[69, 39, 88, 2], Operations: [] Exploring Operation: 69+39=108, Resulting Numbers: [88, 2, 108] Generated Node #2: [88, 2, 108] from Operation: 69+39=108 Current State: 98:[88, 2, 108], Operations: ['69+39=108'] Exploring Operation: 88+108=196, Resulting Numbers: [2, 196] Generated Node #3: [2, 196] from Operation: 88+108=196 Current State: 98:[2, 196], Operations: ['69+39=108', '88+108=196'] Exploring Operation: 196/2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 64, 25, 99 ]
15
[ "75+64=139", "25+99=124", "139-124=15" ]
Current State: 15:[75, 64, 25, 99], Operations: [] Exploring Operation: 75+64=139, Resulting Numbers: [25, 99, 139] Generated Node #2: [25, 99, 139] from Operation: 75+64=139 Current State: 15:[25, 99, 139], Operations: ['75+64=139'] Exploring Operation: 25+99=124, Resulting Numbers: [139, 124] Generated Node #3: [139, 124] from Operation: 25+99=124 Current State: 15:[139, 124], Operations: ['75+64=139', '25+99=124'] Exploring Operation: 139-124=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 76, 90, 38, 28 ]
85
[ "38-28=10", "90/10=9", "76+9=85" ]
Current State: 85:[76, 90, 38, 28], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [76, 90, 10] Generated Node #2: [76, 90, 10] from Operation: 38-28=10 Current State: 85:[76, 90, 10], Operations: ['38-28=10'] Exploring Operation: 90/10=9, Resulting Numbers: [76, 9] Generated Node #3: [76, 9] from Operation: 90/10=9 Current State: 85:[76, 9], Operations: ['38-28=10', '90/10=9'] Exploring Operation: 76+9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 97, 95, 17, 94 ]
30
[ "97-95=2", "94/2=47", "47-17=30" ]
Current State: 30:[97, 95, 17, 94], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [17, 94, 2] Generated Node #2: [17, 94, 2] from Operation: 97-95=2 Current State: 30:[17, 94, 2], Operations: ['97-95=2'] Exploring Operation: 94/2=47, Resulting Numbers: [17, 47] Generated Node #3: [17, 47] from Operation: 94/2=47 Current State: 30:[17, 47], Operations: ['97-95=2', '94/2=47'] Exploring Operation: 47-17=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 65, 75, 23, 14 ]
92
[ "75-65=10", "14-10=4", "23*4=92" ]
Current State: 92:[65, 75, 23, 14], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [23, 14, 10] Generated Node #2: [23, 14, 10] from Operation: 75-65=10 Current State: 92:[23, 14, 10], Operations: ['75-65=10'] Exploring Operation: 14-10=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 14-10=4 Current State: 92:[23, 4], Operations: ['75-65=10', '14-10=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 66, 59, 36, 24 ]
66
[ "59-36=23", "24-23=1", "66*1=66" ]
Current State: 66:[66, 59, 36, 24], Operations: [] Exploring Operation: 59-36=23, Resulting Numbers: [66, 24, 23] Generated Node #2: [66, 24, 23] from Operation: 59-36=23 Current State: 66:[66, 24, 23], Operations: ['59-36=23'] Exploring Operation: 24-23=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 24-23=1 Current State: 66:[66, 1], Operations: ['59-36=23', '24-23=1'] Exploring Operation: 66*1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 71, 36, 33, 5 ]
28
[ "71+36=107", "33+107=140", "140/5=28" ]
Current State: 28:[71, 36, 33, 5], Operations: [] Exploring Operation: 71+36=107, Resulting Numbers: [33, 5, 107] Generated Node #2: [33, 5, 107] from Operation: 71+36=107 Current State: 28:[33, 5, 107], Operations: ['71+36=107'] Exploring Operation: 33+107=140, Resulting Numbers: [5, 140] Generated Node #3: [5, 140] from Operation: 33+107=140 Current State: 28:[5, 140], Operations: ['71+36=107', '33+107=140'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 69, 26, 63 ]
30
[ "69-62=7", "63-26=37", "37-7=30" ]
Current State: 30:[62, 69, 26, 63], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [26, 63, 7] Generated Node #2: [26, 63, 7] from Operation: 69-62=7 Current State: 30:[26, 63, 7], Operations: ['69-62=7'] Exploring Operation: 63-26=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 63-26=37 Current State: 30:[7, 37], Operations: ['69-62=7', '63-26=37'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 15, 47, 75, 13 ]
29
[ "75/15=5", "47-13=34", "34-5=29" ]
Current State: 29:[15, 47, 75, 13], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [47, 13, 5] Generated Node #2: [47, 13, 5] from Operation: 75/15=5 Current State: 29:[47, 13, 5], Operations: ['75/15=5'] Exploring Operation: 47-13=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 47-13=34 Current State: 29:[5, 34], Operations: ['75/15=5', '47-13=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 29, 33, 55, 91 ]
26
[ "29+33=62", "91-55=36", "62-36=26" ]
Current State: 26:[29, 33, 55, 91], Operations: [] Exploring Operation: 29+33=62, Resulting Numbers: [55, 91, 62] Generated Node #2: [55, 91, 62] from Operation: 29+33=62 Current State: 26:[55, 91, 62], Operations: ['29+33=62'] Exploring Operation: 91-55=36, Resulting Numbers: [62, 36] Generated Node #3: [62, 36] from Operation: 91-55=36 Current State: 26:[62, 36], Operations: ['29+33=62', '91-55=36'] Exploring Operation: 62-36=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 79, 30, 46, 40 ]
84
[ "46-40=6", "30/6=5", "79+5=84" ]
Current State: 84:[79, 30, 46, 40], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [79, 30, 6] Generated Node #2: [79, 30, 6] from Operation: 46-40=6 Current State: 84:[79, 30, 6], Operations: ['46-40=6'] Exploring Operation: 30/6=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 30/6=5 Current State: 84:[79, 5], Operations: ['46-40=6', '30/6=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 75, 22, 41 ]
51
[ "75-5=70", "41-22=19", "70-19=51" ]
Current State: 51:[5, 75, 22, 41], Operations: [] Exploring Operation: 75-5=70, Resulting Numbers: [22, 41, 70] Generated Node #2: [22, 41, 70] from Operation: 75-5=70 Current State: 51:[22, 41, 70], Operations: ['75-5=70'] Exploring Operation: 41-22=19, Resulting Numbers: [70, 19] Generated Node #3: [70, 19] from Operation: 41-22=19 Current State: 51:[70, 19], Operations: ['75-5=70', '41-22=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 43, 17, 51, 50 ]
10
[ "50-43=7", "51/17=3", "7+3=10" ]
Current State: 10:[43, 17, 51, 50], Operations: [] Exploring Operation: 50-43=7, Resulting Numbers: [17, 51, 7] Generated Node #2: [17, 51, 7] from Operation: 50-43=7 Current State: 10:[17, 51, 7], Operations: ['50-43=7'] Exploring Operation: 51/17=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 51/17=3 Current State: 10:[7, 3], Operations: ['50-43=7', '51/17=3'] Exploring Operation: 7+3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 23, 77, 67 ]
42
[ "9+23=32", "77-67=10", "32+10=42" ]
Current State: 42:[9, 23, 77, 67], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [77, 67, 32] Generated Node #2: [77, 67, 32] from Operation: 9+23=32 Current State: 42:[77, 67, 32], Operations: ['9+23=32'] Exploring Operation: 77-67=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 77-67=10 Current State: 42:[32, 10], Operations: ['9+23=32', '77-67=10'] Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 72, 32, 36, 50 ]
88
[ "72-50=22", "36-32=4", "22*4=88" ]
Current State: 88:[72, 32, 36, 50], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [32, 36, 22] Generated Node #2: [32, 36, 22] from Operation: 72-50=22 Current State: 88:[32, 36, 22], Operations: ['72-50=22'] Exploring Operation: 36-32=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 36-32=4 Current State: 88:[22, 4], Operations: ['72-50=22', '36-32=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 59, 9, 21, 2 ]
56
[ "59-21=38", "9*2=18", "38+18=56" ]
Current State: 56:[59, 9, 21, 2], Operations: [] Exploring Operation: 59-21=38, Resulting Numbers: [9, 2, 38] Generated Node #2: [9, 2, 38] from Operation: 59-21=38 Current State: 56:[9, 2, 38], Operations: ['59-21=38'] Exploring Operation: 9*2=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 9*2=18 Current State: 56:[38, 18], Operations: ['59-21=38', '9*2=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 57, 19, 50, 34 ]
13
[ "57/19=3", "50-34=16", "16-3=13" ]
Current State: 13:[57, 19, 50, 34], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [50, 34, 3] Generated Node #2: [50, 34, 3] from Operation: 57/19=3 Current State: 13:[50, 34, 3], Operations: ['57/19=3'] Exploring Operation: 50-34=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 50-34=16 Current State: 13:[3, 16], Operations: ['57/19=3', '50-34=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 82, 22, 73 ]
19
[ "82-50=32", "73-22=51", "51-32=19" ]
Current State: 19:[50, 82, 22, 73], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [22, 73, 32] Generated Node #2: [22, 73, 32] from Operation: 82-50=32 Current State: 19:[22, 73, 32], Operations: ['82-50=32'] Exploring Operation: 73-22=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 73-22=51 Current State: 19:[32, 51], Operations: ['82-50=32', '73-22=51'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 34, 48, 10 ]
18
[ "30/10=3", "48/3=16", "34-16=18" ]
Current State: 18:[30, 34, 48, 10], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [34, 48, 3] Generated Node #2: [34, 48, 3] from Operation: 30/10=3 Current State: 18:[34, 48, 3], Operations: ['30/10=3'] Exploring Operation: 48/3=16, Resulting Numbers: [34, 16] Generated Node #3: [34, 16] from Operation: 48/3=16 Current State: 18:[34, 16], Operations: ['30/10=3', '48/3=16'] Exploring Operation: 34-16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 4, 29, 90 ]
78
[ "19+29=48", "48/4=12", "90-12=78" ]
Current State: 78:[19, 4, 29, 90], Operations: [] Exploring Operation: 19+29=48, Resulting Numbers: [4, 90, 48] Generated Node #2: [4, 90, 48] from Operation: 19+29=48 Current State: 78:[4, 90, 48], Operations: ['19+29=48'] Exploring Operation: 48/4=12, Resulting Numbers: [90, 12] Generated Node #3: [90, 12] from Operation: 48/4=12 Current State: 78:[90, 12], Operations: ['19+29=48', '48/4=12'] Exploring Operation: 90-12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 12, 43, 35 ]
94
[ "45-43=2", "12+35=47", "2*47=94" ]
Current State: 94:[45, 12, 43, 35], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [12, 35, 2] Generated Node #2: [12, 35, 2] from Operation: 45-43=2 Current State: 94:[12, 35, 2], Operations: ['45-43=2'] Exploring Operation: 12+35=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 12+35=47 Current State: 94:[2, 47], Operations: ['45-43=2', '12+35=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 25, 13, 51 ]
52
[ "30+25=55", "55-51=4", "13*4=52" ]
Current State: 52:[30, 25, 13, 51], Operations: [] Exploring Operation: 30+25=55, Resulting Numbers: [13, 51, 55] Generated Node #2: [13, 51, 55] from Operation: 30+25=55 Current State: 52:[13, 51, 55], Operations: ['30+25=55'] Exploring Operation: 55-51=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 55-51=4 Current State: 52:[13, 4], Operations: ['30+25=55', '55-51=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 56, 30, 68, 71 ]
83
[ "56+30=86", "71-68=3", "86-3=83" ]
Current State: 83:[56, 30, 68, 71], Operations: [] Exploring Operation: 56+30=86, Resulting Numbers: [68, 71, 86] Generated Node #2: [68, 71, 86] from Operation: 56+30=86 Current State: 83:[68, 71, 86], Operations: ['56+30=86'] Exploring Operation: 71-68=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 71-68=3 Current State: 83:[86, 3], Operations: ['56+30=86', '71-68=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 26, 20, 60 ]
45
[ "26-20=6", "60/6=10", "55-10=45" ]
Current State: 45:[55, 26, 20, 60], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [55, 60, 6] Generated Node #2: [55, 60, 6] from Operation: 26-20=6 Current State: 45:[55, 60, 6], Operations: ['26-20=6'] Exploring Operation: 60/6=10, Resulting Numbers: [55, 10] Generated Node #3: [55, 10] from Operation: 60/6=10 Current State: 45:[55, 10], Operations: ['26-20=6', '60/6=10'] Exploring Operation: 55-10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 92, 5, 74 ]
97
[ "74-49=25", "25/5=5", "92+5=97" ]
Current State: 97:[49, 92, 5, 74], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [92, 5, 25] Generated Node #2: [92, 5, 25] from Operation: 74-49=25 Current State: 97:[92, 5, 25], Operations: ['74-49=25'] Exploring Operation: 25/5=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 25/5=5 Current State: 97:[92, 5], Operations: ['74-49=25', '25/5=5'] Exploring Operation: 92+5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 88, 1, 18, 22 ]
54
[ "88/22=4", "4-1=3", "18*3=54" ]
Current State: 54:[88, 1, 18, 22], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [1, 18, 4] Generated Node #2: [1, 18, 4] from Operation: 88/22=4 Current State: 54:[1, 18, 4], Operations: ['88/22=4'] Exploring Operation: 4-1=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 4-1=3 Current State: 54:[18, 3], Operations: ['88/22=4', '4-1=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 1, 2, 87, 3 ]
88
[ "1+2=3", "3/3=1", "87+1=88" ]
Current State: 88:[1, 2, 87, 3], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [87, 3, 3] Generated Node #2: [87, 3, 3] from Operation: 1+2=3 Current State: 88:[87, 3, 3], Operations: ['1+2=3'] Exploring Operation: 3/3=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 3/3=1 Current State: 88:[87, 1], Operations: ['1+2=3', '3/3=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 24, 36, 39 ]
75
[ "39-36=3", "24/3=8", "83-8=75" ]
Current State: 75:[83, 24, 36, 39], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [83, 24, 3] Generated Node #2: [83, 24, 3] from Operation: 39-36=3 Current State: 75:[83, 24, 3], Operations: ['39-36=3'] Exploring Operation: 24/3=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 24/3=8 Current State: 75:[83, 8], Operations: ['39-36=3', '24/3=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 84, 5, 15 ]
92
[ "25+15=40", "40/5=8", "84+8=92" ]
Current State: 92:[25, 84, 5, 15], Operations: [] Exploring Operation: 25+15=40, Resulting Numbers: [84, 5, 40] Generated Node #2: [84, 5, 40] from Operation: 25+15=40 Current State: 92:[84, 5, 40], Operations: ['25+15=40'] Exploring Operation: 40/5=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 40/5=8 Current State: 92:[84, 8], Operations: ['25+15=40', '40/5=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 99, 62, 99, 21 ]
42
[ "99/99=1", "62-21=41", "1+41=42" ]
Current State: 42:[99, 62, 99, 21], Operations: [] Exploring Operation: 99/99=1, Resulting Numbers: [62, 21, 1] Generated Node #2: [62, 21, 1] from Operation: 99/99=1 Current State: 42:[62, 21, 1], Operations: ['99/99=1'] Exploring Operation: 62-21=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 62-21=41 Current State: 42:[1, 41], Operations: ['99/99=1', '62-21=41'] Exploring Operation: 1+41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 40, 51, 91 ]
69
[ "40+51=91", "91/91=1", "70-1=69" ]
Current State: 69:[70, 40, 51, 91], Operations: [] Exploring Operation: 40+51=91, Resulting Numbers: [70, 91, 91] Generated Node #2: [70, 91, 91] from Operation: 40+51=91 Current State: 69:[70, 91, 91], Operations: ['40+51=91'] Exploring Operation: 91/91=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 91/91=1 Current State: 69:[70, 1], Operations: ['40+51=91', '91/91=1'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 4, 56, 32 ]
62
[ "4*56=224", "224/32=7", "69-7=62" ]
Current State: 62:[69, 4, 56, 32], Operations: [] Exploring Operation: 4*56=224, Resulting Numbers: [69, 32, 224] Generated Node #2: [69, 32, 224] from Operation: 4*56=224 Current State: 62:[69, 32, 224], Operations: ['4*56=224'] Exploring Operation: 224/32=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 224/32=7 Current State: 62:[69, 7], Operations: ['4*56=224', '224/32=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 63, 62, 25, 68 ]
42
[ "63*62=3906", "25+68=93", "3906/93=42" ]
Current State: 42:[63, 62, 25, 68], Operations: [] Exploring Operation: 63*62=3906, Resulting Numbers: [25, 68, 3906] Generated Node #2: [25, 68, 3906] from Operation: 63*62=3906 Current State: 42:[25, 68, 3906], Operations: ['63*62=3906'] Exploring Operation: 25+68=93, Resulting Numbers: [3906, 93] Generated Node #3: [3906, 93] from Operation: 25+68=93 Current State: 42:[3906, 93], Operations: ['63*62=3906', '25+68=93'] Exploring Operation: 3906/93=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 48, 64, 7 ]
36
[ "48-44=4", "7*4=28", "64-28=36" ]
Current State: 36:[44, 48, 64, 7], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [64, 7, 4] Generated Node #2: [64, 7, 4] from Operation: 48-44=4 Current State: 36:[64, 7, 4], Operations: ['48-44=4'] Exploring Operation: 7*4=28, Resulting Numbers: [64, 28] Generated Node #3: [64, 28] from Operation: 7*4=28 Current State: 36:[64, 28], Operations: ['48-44=4', '7*4=28'] Exploring Operation: 64-28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 60, 25, 65, 94 ]
89
[ "60+65=125", "125/25=5", "94-5=89" ]
Current State: 89:[60, 25, 65, 94], Operations: [] Exploring Operation: 60+65=125, Resulting Numbers: [25, 94, 125] Generated Node #2: [25, 94, 125] from Operation: 60+65=125 Current State: 89:[25, 94, 125], Operations: ['60+65=125'] Exploring Operation: 125/25=5, Resulting Numbers: [94, 5] Generated Node #3: [94, 5] from Operation: 125/25=5 Current State: 89:[94, 5], Operations: ['60+65=125', '125/25=5'] Exploring Operation: 94-5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 68, 8, 40, 45 ]
81
[ "68+8=76", "45-40=5", "76+5=81" ]
Current State: 81:[68, 8, 40, 45], Operations: [] Exploring Operation: 68+8=76, Resulting Numbers: [40, 45, 76] Generated Node #2: [40, 45, 76] from Operation: 68+8=76 Current State: 81:[40, 45, 76], Operations: ['68+8=76'] Exploring Operation: 45-40=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 45-40=5 Current State: 81:[76, 5], Operations: ['68+8=76', '45-40=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 22, 7, 7, 54 ]
76
[ "22+7=29", "54-7=47", "29+47=76" ]
Current State: 76:[22, 7, 7, 54], Operations: [] Exploring Operation: 22+7=29, Resulting Numbers: [54, 29] Generated Node #2: [54, 29] from Operation: 22+7=29 Current State: 76:[54, 29], Operations: ['22+7=29'] Exploring Operation: 54-7=47, Resulting Numbers: [29, 47] Generated Node #3: [29, 47] from Operation: 54-7=47 Current State: 76:[29, 47], Operations: ['22+7=29', '54-7=47'] Exploring Operation: 29+47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 26, 64, 13, 27 ]
50
[ "26+64=90", "13+27=40", "90-40=50" ]
Current State: 50:[26, 64, 13, 27], Operations: [] Exploring Operation: 26+64=90, Resulting Numbers: [13, 27, 90] Generated Node #2: [13, 27, 90] from Operation: 26+64=90 Current State: 50:[13, 27, 90], Operations: ['26+64=90'] Exploring Operation: 13+27=40, Resulting Numbers: [90, 40] Generated Node #3: [90, 40] from Operation: 13+27=40 Current State: 50:[90, 40], Operations: ['26+64=90', '13+27=40'] Exploring Operation: 90-40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 1, 4, 17 ]
67
[ "87+1=88", "4+17=21", "88-21=67" ]
Current State: 67:[87, 1, 4, 17], Operations: [] Exploring Operation: 87+1=88, Resulting Numbers: [4, 17, 88] Generated Node #2: [4, 17, 88] from Operation: 87+1=88 Current State: 67:[4, 17, 88], Operations: ['87+1=88'] Exploring Operation: 4+17=21, Resulting Numbers: [88, 21] Generated Node #3: [88, 21] from Operation: 4+17=21 Current State: 67:[88, 21], Operations: ['87+1=88', '4+17=21'] Exploring Operation: 88-21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 69, 51, 97 ]
74
[ "54-51=3", "69/3=23", "97-23=74" ]
Current State: 74:[54, 69, 51, 97], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [69, 97, 3] Generated Node #2: [69, 97, 3] from Operation: 54-51=3 Current State: 74:[69, 97, 3], Operations: ['54-51=3'] Exploring Operation: 69/3=23, Resulting Numbers: [97, 23] Generated Node #3: [97, 23] from Operation: 69/3=23 Current State: 74:[97, 23], Operations: ['54-51=3', '69/3=23'] Exploring Operation: 97-23=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 64, 46, 95, 25 ]
52
[ "64-46=18", "95-25=70", "70-18=52" ]
Current State: 52:[64, 46, 95, 25], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [95, 25, 18] Generated Node #2: [95, 25, 18] from Operation: 64-46=18 Current State: 52:[95, 25, 18], Operations: ['64-46=18'] Exploring Operation: 95-25=70, Resulting Numbers: [18, 70] Generated Node #3: [18, 70] from Operation: 95-25=70 Current State: 52:[18, 70], Operations: ['64-46=18', '95-25=70'] Exploring Operation: 70-18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 95, 24, 57, 49 ]
63
[ "95-24=71", "57-49=8", "71-8=63" ]
Current State: 63:[95, 24, 57, 49], Operations: [] Exploring Operation: 95-24=71, Resulting Numbers: [57, 49, 71] Generated Node #2: [57, 49, 71] from Operation: 95-24=71 Current State: 63:[57, 49, 71], Operations: ['95-24=71'] Exploring Operation: 57-49=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 57-49=8 Current State: 63:[71, 8], Operations: ['95-24=71', '57-49=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 15, 66, 24 ]
96
[ "66-58=8", "15*8=120", "120-24=96" ]
Current State: 96:[58, 15, 66, 24], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [15, 24, 8] Generated Node #2: [15, 24, 8] from Operation: 66-58=8 Current State: 96:[15, 24, 8], Operations: ['66-58=8'] Exploring Operation: 15*8=120, Resulting Numbers: [24, 120] Generated Node #3: [24, 120] from Operation: 15*8=120 Current State: 96:[24, 120], Operations: ['66-58=8', '15*8=120'] Exploring Operation: 120-24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 57, 17, 29, 58 ]
97
[ "57*58=3306", "3306/29=114", "114-17=97" ]
Current State: 97:[57, 17, 29, 58], Operations: [] Exploring Operation: 57*58=3306, Resulting Numbers: [17, 29, 3306] Generated Node #2: [17, 29, 3306] from Operation: 57*58=3306 Current State: 97:[17, 29, 3306], Operations: ['57*58=3306'] Exploring Operation: 3306/29=114, Resulting Numbers: [17, 114] Generated Node #3: [17, 114] from Operation: 3306/29=114 Current State: 97:[17, 114], Operations: ['57*58=3306', '3306/29=114'] Exploring Operation: 114-17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 21, 26, 10, 11 ]
13
[ "26-21=5", "10/5=2", "11+2=13" ]
Current State: 13:[21, 26, 10, 11], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [10, 11, 5] Generated Node #2: [10, 11, 5] from Operation: 26-21=5 Current State: 13:[10, 11, 5], Operations: ['26-21=5'] Exploring Operation: 10/5=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 10/5=2 Current State: 13:[11, 2], Operations: ['26-21=5', '10/5=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 89, 22, 70 ]
53
[ "25-22=3", "89+70=159", "159/3=53" ]
Current State: 53:[25, 89, 22, 70], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [89, 70, 3] Generated Node #2: [89, 70, 3] from Operation: 25-22=3 Current State: 53:[89, 70, 3], Operations: ['25-22=3'] Exploring Operation: 89+70=159, Resulting Numbers: [3, 159] Generated Node #3: [3, 159] from Operation: 89+70=159 Current State: 53:[3, 159], Operations: ['25-22=3', '89+70=159'] Exploring Operation: 159/3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 97, 70, 22, 64 ]
69
[ "97-70=27", "64-22=42", "27+42=69" ]
Current State: 69:[97, 70, 22, 64], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [22, 64, 27] Generated Node #2: [22, 64, 27] from Operation: 97-70=27 Current State: 69:[22, 64, 27], Operations: ['97-70=27'] Exploring Operation: 64-22=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 64-22=42 Current State: 69:[27, 42], Operations: ['97-70=27', '64-22=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 80, 93, 66 ]
45
[ "93/3=31", "80-66=14", "31+14=45" ]
Current State: 45:[3, 80, 93, 66], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [80, 66, 31] Generated Node #2: [80, 66, 31] from Operation: 93/3=31 Current State: 45:[80, 66, 31], Operations: ['93/3=31'] Exploring Operation: 80-66=14, Resulting Numbers: [31, 14] Generated Node #3: [31, 14] from Operation: 80-66=14 Current State: 45:[31, 14], Operations: ['93/3=31', '80-66=14'] Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 46, 6, 63, 43 ]
66
[ "46-6=40", "63+43=106", "106-40=66" ]
Current State: 66:[46, 6, 63, 43], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [63, 43, 40] Generated Node #2: [63, 43, 40] from Operation: 46-6=40 Current State: 66:[63, 43, 40], Operations: ['46-6=40'] Exploring Operation: 63+43=106, Resulting Numbers: [40, 106] Generated Node #3: [40, 106] from Operation: 63+43=106 Current State: 66:[40, 106], Operations: ['46-6=40', '63+43=106'] Exploring Operation: 106-40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 24, 92, 88 ]
65
[ "28-24=4", "92/4=23", "88-23=65" ]
Current State: 65:[28, 24, 92, 88], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [92, 88, 4] Generated Node #2: [92, 88, 4] from Operation: 28-24=4 Current State: 65:[92, 88, 4], Operations: ['28-24=4'] Exploring Operation: 92/4=23, Resulting Numbers: [88, 23] Generated Node #3: [88, 23] from Operation: 92/4=23 Current State: 65:[88, 23], Operations: ['28-24=4', '92/4=23'] Exploring Operation: 88-23=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 46, 18, 3, 14 ]
72
[ "3*14=42", "46-42=4", "18*4=72" ]
Current State: 72:[46, 18, 3, 14], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [46, 18, 42] Generated Node #2: [46, 18, 42] from Operation: 3*14=42 Current State: 72:[46, 18, 42], Operations: ['3*14=42'] Exploring Operation: 46-42=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 46-42=4 Current State: 72:[18, 4], Operations: ['3*14=42', '46-42=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 79, 86, 77, 10 ]
74
[ "86-79=7", "77-10=67", "7+67=74" ]
Current State: 74:[79, 86, 77, 10], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [77, 10, 7] Generated Node #2: [77, 10, 7] from Operation: 86-79=7 Current State: 74:[77, 10, 7], Operations: ['86-79=7'] Exploring Operation: 77-10=67, Resulting Numbers: [7, 67] Generated Node #3: [7, 67] from Operation: 77-10=67 Current State: 74:[7, 67], Operations: ['86-79=7', '77-10=67'] Exploring Operation: 7+67=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 31, 16, 4, 27 ]
48
[ "31-16=15", "27-15=12", "4*12=48" ]
Current State: 48:[31, 16, 4, 27], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [4, 27, 15] Generated Node #2: [4, 27, 15] from Operation: 31-16=15 Current State: 48:[4, 27, 15], Operations: ['31-16=15'] Exploring Operation: 27-15=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 27-15=12 Current State: 48:[4, 12], Operations: ['31-16=15', '27-15=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 55, 50, 27, 79 ]
56
[ "55-50=5", "27*5=135", "135-79=56" ]
Current State: 56:[55, 50, 27, 79], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [27, 79, 5] Generated Node #2: [27, 79, 5] from Operation: 55-50=5 Current State: 56:[27, 79, 5], Operations: ['55-50=5'] Exploring Operation: 27*5=135, Resulting Numbers: [79, 135] Generated Node #3: [79, 135] from Operation: 27*5=135 Current State: 56:[79, 135], Operations: ['55-50=5', '27*5=135'] Exploring Operation: 135-79=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 97, 19, 36 ]
15
[ "4*19=76", "97-36=61", "76-61=15" ]
Current State: 15:[4, 97, 19, 36], Operations: [] Exploring Operation: 4*19=76, Resulting Numbers: [97, 36, 76] Generated Node #2: [97, 36, 76] from Operation: 4*19=76 Current State: 15:[97, 36, 76], Operations: ['4*19=76'] Exploring Operation: 97-36=61, Resulting Numbers: [76, 61] Generated Node #3: [76, 61] from Operation: 97-36=61 Current State: 15:[76, 61], Operations: ['4*19=76', '97-36=61'] Exploring Operation: 76-61=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 59, 33, 22 ]
94
[ "44/22=2", "59+33=92", "2+92=94" ]
Current State: 94:[44, 59, 33, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [59, 33, 2] Generated Node #2: [59, 33, 2] from Operation: 44/22=2 Current State: 94:[59, 33, 2], Operations: ['44/22=2'] Exploring Operation: 59+33=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 59+33=92 Current State: 94:[2, 92], Operations: ['44/22=2', '59+33=92'] Exploring Operation: 2+92=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 37, 19, 2 ]
69
[ "37+19=56", "2*56=112", "112-43=69" ]
Current State: 69:[43, 37, 19, 2], Operations: [] Exploring Operation: 37+19=56, Resulting Numbers: [43, 2, 56] Generated Node #2: [43, 2, 56] from Operation: 37+19=56 Current State: 69:[43, 2, 56], Operations: ['37+19=56'] Exploring Operation: 2*56=112, Resulting Numbers: [43, 112] Generated Node #3: [43, 112] from Operation: 2*56=112 Current State: 69:[43, 112], Operations: ['37+19=56', '2*56=112'] Exploring Operation: 112-43=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 94, 48, 80 ]
19
[ "94+80=174", "174/6=29", "48-29=19" ]
Current State: 19:[6, 94, 48, 80], Operations: [] Exploring Operation: 94+80=174, Resulting Numbers: [6, 48, 174] Generated Node #2: [6, 48, 174] from Operation: 94+80=174 Current State: 19:[6, 48, 174], Operations: ['94+80=174'] Exploring Operation: 174/6=29, Resulting Numbers: [48, 29] Generated Node #3: [48, 29] from Operation: 174/6=29 Current State: 19:[48, 29], Operations: ['94+80=174', '174/6=29'] Exploring Operation: 48-29=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 91, 38, 84, 87 ]
68
[ "91-87=4", "38*4=152", "152-84=68" ]
Current State: 68:[91, 38, 84, 87], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [38, 84, 4] Generated Node #2: [38, 84, 4] from Operation: 91-87=4 Current State: 68:[38, 84, 4], Operations: ['91-87=4'] Exploring Operation: 38*4=152, Resulting Numbers: [84, 152] Generated Node #3: [84, 152] from Operation: 38*4=152 Current State: 68:[84, 152], Operations: ['91-87=4', '38*4=152'] Exploring Operation: 152-84=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 59, 77, 6 ]
35
[ "59-52=7", "6*7=42", "77-42=35" ]
Current State: 35:[52, 59, 77, 6], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [77, 6, 7] Generated Node #2: [77, 6, 7] from Operation: 59-52=7 Current State: 35:[77, 6, 7], Operations: ['59-52=7'] Exploring Operation: 6*7=42, Resulting Numbers: [77, 42] Generated Node #3: [77, 42] from Operation: 6*7=42 Current State: 35:[77, 42], Operations: ['59-52=7', '6*7=42'] Exploring Operation: 77-42=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 82, 67, 3, 6 ]
93
[ "82-67=15", "6*15=90", "3+90=93" ]
Current State: 93:[82, 67, 3, 6], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [3, 6, 15] Generated Node #2: [3, 6, 15] from Operation: 82-67=15 Current State: 93:[3, 6, 15], Operations: ['82-67=15'] Exploring Operation: 6*15=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 6*15=90 Current State: 93:[3, 90], Operations: ['82-67=15', '6*15=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 94, 92, 31, 77 ]
96
[ "77-31=46", "92/46=2", "94+2=96" ]
Current State: 96:[94, 92, 31, 77], Operations: [] Exploring Operation: 77-31=46, Resulting Numbers: [94, 92, 46] Generated Node #2: [94, 92, 46] from Operation: 77-31=46 Current State: 96:[94, 92, 46], Operations: ['77-31=46'] Exploring Operation: 92/46=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 92/46=2 Current State: 96:[94, 2], Operations: ['77-31=46', '92/46=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 24, 89, 2 ]
56
[ "97-89=8", "24*2=48", "8+48=56" ]
Current State: 56:[97, 24, 89, 2], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [24, 2, 8] Generated Node #2: [24, 2, 8] from Operation: 97-89=8 Current State: 56:[24, 2, 8], Operations: ['97-89=8'] Exploring Operation: 24*2=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 24*2=48 Current State: 56:[8, 48], Operations: ['97-89=8', '24*2=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 77, 21, 3, 76 ]
24
[ "77-76=1", "21+3=24", "1*24=24" ]
Current State: 24:[77, 21, 3, 76], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [21, 3, 1] Generated Node #2: [21, 3, 1] from Operation: 77-76=1 Current State: 24:[21, 3, 1], Operations: ['77-76=1'] Exploring Operation: 21+3=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 21+3=24 Current State: 24:[1, 24], Operations: ['77-76=1', '21+3=24'] Exploring Operation: 1*24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 68, 39, 30 ]
34
[ "35+68=103", "39+30=69", "103-69=34" ]
Current State: 34:[35, 68, 39, 30], Operations: [] Exploring Operation: 35+68=103, Resulting Numbers: [39, 30, 103] Generated Node #2: [39, 30, 103] from Operation: 35+68=103 Current State: 34:[39, 30, 103], Operations: ['35+68=103'] Exploring Operation: 39+30=69, Resulting Numbers: [103, 69] Generated Node #3: [103, 69] from Operation: 39+30=69 Current State: 34:[103, 69], Operations: ['35+68=103', '39+30=69'] Exploring Operation: 103-69=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 68, 48, 29 ]
28
[ "37+68=105", "48+29=77", "105-77=28" ]
Current State: 28:[37, 68, 48, 29], Operations: [] Exploring Operation: 37+68=105, Resulting Numbers: [48, 29, 105] Generated Node #2: [48, 29, 105] from Operation: 37+68=105 Current State: 28:[48, 29, 105], Operations: ['37+68=105'] Exploring Operation: 48+29=77, Resulting Numbers: [105, 77] Generated Node #3: [105, 77] from Operation: 48+29=77 Current State: 28:[105, 77], Operations: ['37+68=105', '48+29=77'] Exploring Operation: 105-77=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 37, 99, 3, 97 ]
43
[ "99-97=2", "3*2=6", "37+6=43" ]
Current State: 43:[37, 99, 3, 97], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [37, 3, 2] Generated Node #2: [37, 3, 2] from Operation: 99-97=2 Current State: 43:[37, 3, 2], Operations: ['99-97=2'] Exploring Operation: 3*2=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 3*2=6 Current State: 43:[37, 6], Operations: ['99-97=2', '3*2=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 19, 42, 55 ]
14
[ "19+42=61", "61-55=6", "84/6=14" ]
Current State: 14:[84, 19, 42, 55], Operations: [] Exploring Operation: 19+42=61, Resulting Numbers: [84, 55, 61] Generated Node #2: [84, 55, 61] from Operation: 19+42=61 Current State: 14:[84, 55, 61], Operations: ['19+42=61'] Exploring Operation: 61-55=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 61-55=6 Current State: 14:[84, 6], Operations: ['19+42=61', '61-55=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 3, 2, 13 ]
66
[ "79-13=66", "3-2=1", "66*1=66" ]
Current State: 66:[79, 3, 2, 13], Operations: [] Exploring Operation: 79-13=66, Resulting Numbers: [3, 2, 66] Generated Node #2: [3, 2, 66] from Operation: 79-13=66 Current State: 66:[3, 2, 66], Operations: ['79-13=66'] Exploring Operation: 3-2=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 3-2=1 Current State: 66:[66, 1], Operations: ['79-13=66', '3-2=1'] Exploring Operation: 66*1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 87, 43, 81, 25 ]
62
[ "87-43=44", "81+25=106", "106-44=62" ]
Current State: 62:[87, 43, 81, 25], Operations: [] Exploring Operation: 87-43=44, Resulting Numbers: [81, 25, 44] Generated Node #2: [81, 25, 44] from Operation: 87-43=44 Current State: 62:[81, 25, 44], Operations: ['87-43=44'] Exploring Operation: 81+25=106, Resulting Numbers: [44, 106] Generated Node #3: [44, 106] from Operation: 81+25=106 Current State: 62:[44, 106], Operations: ['87-43=44', '81+25=106'] Exploring Operation: 106-44=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4