Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 39, 1, 93, 59 ]
72
[ "39-1=38", "93-59=34", "38+34=72" ]
Current State: 72:[39, 1, 93, 59], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [93, 59, 38] Generated Node #2: [93, 59, 38] from Operation: 39-1=38 Current State: 72:[93, 59, 38], Operations: ['39-1=38'] Exploring Operation: 93-59=34, Resulting Numbers: [38, 34] Generated Node #3: [38, 34] from Operation: 93-59=34 Current State: 72:[38, 34], Operations: ['39-1=38', '93-59=34'] Exploring Operation: 38+34=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 31, 8, 2, 2 ]
68
[ "31*2=62", "8-2=6", "62+6=68" ]
Current State: 68:[31, 8, 2, 2], Operations: [] Exploring Operation: 31*2=62, Resulting Numbers: [8, 62] Generated Node #2: [8, 62] from Operation: 31*2=62 Current State: 68:[8, 62], Operations: ['31*2=62'] Exploring Operation: 8-2=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 8-2=6 Current State: 68:[62, 6], Operations: ['31*2=62', '8-2=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 97, 13, 57, 29 ]
56
[ "97-13=84", "57-29=28", "84-28=56" ]
Current State: 56:[97, 13, 57, 29], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [57, 29, 84] Generated Node #2: [57, 29, 84] from Operation: 97-13=84 Current State: 56:[57, 29, 84], Operations: ['97-13=84'] Exploring Operation: 57-29=28, Resulting Numbers: [84, 28] Generated Node #3: [84, 28] from Operation: 57-29=28 Current State: 56:[84, 28], Operations: ['97-13=84', '57-29=28'] Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 40, 99, 3 ]
100
[ "44-40=4", "99-3=96", "4+96=100" ]
Current State: 100:[44, 40, 99, 3], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [99, 3, 4] Generated Node #2: [99, 3, 4] from Operation: 44-40=4 Current State: 100:[99, 3, 4], Operations: ['44-40=4'] Exploring Operation: 99-3=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 99-3=96 Current State: 100:[4, 96], Operations: ['44-40=4', '99-3=96'] Exploring Operation: 4+96=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 36, 11, 4, 26 ]
28
[ "36/4=9", "11+26=37", "37-9=28" ]
Current State: 28:[36, 11, 4, 26], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [11, 26, 9] Generated Node #2: [11, 26, 9] from Operation: 36/4=9 Current State: 28:[11, 26, 9], Operations: ['36/4=9'] Exploring Operation: 11+26=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 11+26=37 Current State: 28:[9, 37], Operations: ['36/4=9', '11+26=37'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 15, 7, 19 ]
37
[ "19-17=2", "15*2=30", "7+30=37" ]
Current State: 37:[17, 15, 7, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [15, 7, 2] Generated Node #2: [15, 7, 2] from Operation: 19-17=2 Current State: 37:[15, 7, 2], Operations: ['19-17=2'] Exploring Operation: 15*2=30, Resulting Numbers: [7, 30] Generated Node #3: [7, 30] from Operation: 15*2=30 Current State: 37:[7, 30], Operations: ['19-17=2', '15*2=30'] Exploring Operation: 7+30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 25, 9, 2, 79 ]
43
[ "25+9=34", "79-2=77", "77-34=43" ]
Current State: 43:[25, 9, 2, 79], Operations: [] Exploring Operation: 25+9=34, Resulting Numbers: [2, 79, 34] Generated Node #2: [2, 79, 34] from Operation: 25+9=34 Current State: 43:[2, 79, 34], Operations: ['25+9=34'] Exploring Operation: 79-2=77, Resulting Numbers: [34, 77] Generated Node #3: [34, 77] from Operation: 79-2=77 Current State: 43:[34, 77], Operations: ['25+9=34', '79-2=77'] Exploring Operation: 77-34=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 20, 52, 10, 23 ]
82
[ "23-20=3", "10*3=30", "52+30=82" ]
Current State: 82:[20, 52, 10, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [52, 10, 3] Generated Node #2: [52, 10, 3] from Operation: 23-20=3 Current State: 82:[52, 10, 3], Operations: ['23-20=3'] Exploring Operation: 10*3=30, Resulting Numbers: [52, 30] Generated Node #3: [52, 30] from Operation: 10*3=30 Current State: 82:[52, 30], Operations: ['23-20=3', '10*3=30'] Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 17, 28, 1 ]
51
[ "63+17=80", "28+1=29", "80-29=51" ]
Current State: 51:[63, 17, 28, 1], Operations: [] Exploring Operation: 63+17=80, Resulting Numbers: [28, 1, 80] Generated Node #2: [28, 1, 80] from Operation: 63+17=80 Current State: 51:[28, 1, 80], Operations: ['63+17=80'] Exploring Operation: 28+1=29, Resulting Numbers: [80, 29] Generated Node #3: [80, 29] from Operation: 28+1=29 Current State: 51:[80, 29], Operations: ['63+17=80', '28+1=29'] Exploring Operation: 80-29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 89, 84, 10, 90 ]
29
[ "90-84=6", "10*6=60", "89-60=29" ]
Current State: 29:[89, 84, 10, 90], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [89, 10, 6] Generated Node #2: [89, 10, 6] from Operation: 90-84=6 Current State: 29:[89, 10, 6], Operations: ['90-84=6'] Exploring Operation: 10*6=60, Resulting Numbers: [89, 60] Generated Node #3: [89, 60] from Operation: 10*6=60 Current State: 29:[89, 60], Operations: ['90-84=6', '10*6=60'] Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 36, 28, 43, 76 ]
72
[ "43-36=7", "28/7=4", "76-4=72" ]
Current State: 72:[36, 28, 43, 76], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [28, 76, 7] Generated Node #2: [28, 76, 7] from Operation: 43-36=7 Current State: 72:[28, 76, 7], Operations: ['43-36=7'] Exploring Operation: 28/7=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 28/7=4 Current State: 72:[76, 4], Operations: ['43-36=7', '28/7=4'] Exploring Operation: 76-4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 26, 3, 25, 62 ]
31
[ "26-3=23", "25-23=2", "62/2=31" ]
Current State: 31:[26, 3, 25, 62], Operations: [] Exploring Operation: 26-3=23, Resulting Numbers: [25, 62, 23] Generated Node #2: [25, 62, 23] from Operation: 26-3=23 Current State: 31:[25, 62, 23], Operations: ['26-3=23'] Exploring Operation: 25-23=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 25-23=2 Current State: 31:[62, 2], Operations: ['26-3=23', '25-23=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 50, 4, 3 ]
63
[ "67-50=17", "4+17=21", "3*21=63" ]
Current State: 63:[67, 50, 4, 3], Operations: [] Exploring Operation: 67-50=17, Resulting Numbers: [4, 3, 17] Generated Node #2: [4, 3, 17] from Operation: 67-50=17 Current State: 63:[4, 3, 17], Operations: ['67-50=17'] Exploring Operation: 4+17=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 4+17=21 Current State: 63:[3, 21], Operations: ['67-50=17', '4+17=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 37, 30, 61 ]
90
[ "37-36=1", "30+61=91", "91-1=90" ]
Current State: 90:[36, 37, 30, 61], Operations: [] Exploring Operation: 37-36=1, Resulting Numbers: [30, 61, 1] Generated Node #2: [30, 61, 1] from Operation: 37-36=1 Current State: 90:[30, 61, 1], Operations: ['37-36=1'] Exploring Operation: 30+61=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 30+61=91 Current State: 90:[1, 91], Operations: ['37-36=1', '30+61=91'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 63, 13, 58 ]
96
[ "63+13=76", "76/2=38", "58+38=96" ]
Current State: 96:[2, 63, 13, 58], Operations: [] Exploring Operation: 63+13=76, Resulting Numbers: [2, 58, 76] Generated Node #2: [2, 58, 76] from Operation: 63+13=76 Current State: 96:[2, 58, 76], Operations: ['63+13=76'] Exploring Operation: 76/2=38, Resulting Numbers: [58, 38] Generated Node #3: [58, 38] from Operation: 76/2=38 Current State: 96:[58, 38], Operations: ['63+13=76', '76/2=38'] Exploring Operation: 58+38=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 50, 95, 96 ]
93
[ "95-50=45", "45/15=3", "96-3=93" ]
Current State: 93:[15, 50, 95, 96], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [15, 96, 45] Generated Node #2: [15, 96, 45] from Operation: 95-50=45 Current State: 93:[15, 96, 45], Operations: ['95-50=45'] Exploring Operation: 45/15=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 45/15=3 Current State: 93:[96, 3], Operations: ['95-50=45', '45/15=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 25, 32, 62 ]
31
[ "89-25=64", "32*62=1984", "1984/64=31" ]
Current State: 31:[89, 25, 32, 62], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [32, 62, 64] Generated Node #2: [32, 62, 64] from Operation: 89-25=64 Current State: 31:[32, 62, 64], Operations: ['89-25=64'] Exploring Operation: 32*62=1984, Resulting Numbers: [64, 1984] Generated Node #3: [64, 1984] from Operation: 32*62=1984 Current State: 31:[64, 1984], Operations: ['89-25=64', '32*62=1984'] Exploring Operation: 1984/64=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 92, 82, 39 ]
85
[ "92-79=13", "39/13=3", "82+3=85" ]
Current State: 85:[79, 92, 82, 39], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [82, 39, 13] Generated Node #2: [82, 39, 13] from Operation: 92-79=13 Current State: 85:[82, 39, 13], Operations: ['92-79=13'] Exploring Operation: 39/13=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 39/13=3 Current State: 85:[82, 3], Operations: ['92-79=13', '39/13=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 79, 3, 18 ]
64
[ "79-21=58", "18/3=6", "58+6=64" ]
Current State: 64:[21, 79, 3, 18], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [3, 18, 58] Generated Node #2: [3, 18, 58] from Operation: 79-21=58 Current State: 64:[3, 18, 58], Operations: ['79-21=58'] Exploring Operation: 18/3=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 18/3=6 Current State: 64:[58, 6], Operations: ['79-21=58', '18/3=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 83, 15, 32, 51 ]
14
[ "83-32=51", "51/51=1", "15-1=14" ]
Current State: 14:[83, 15, 32, 51], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [15, 51, 51] Generated Node #2: [15, 51, 51] from Operation: 83-32=51 Current State: 14:[15, 51, 51], Operations: ['83-32=51'] Exploring Operation: 51/51=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 51/51=1 Current State: 14:[15, 1], Operations: ['83-32=51', '51/51=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 53, 34, 65 ]
51
[ "18*34=612", "65-53=12", "612/12=51" ]
Current State: 51:[18, 53, 34, 65], Operations: [] Exploring Operation: 18*34=612, Resulting Numbers: [53, 65, 612] Generated Node #2: [53, 65, 612] from Operation: 18*34=612 Current State: 51:[53, 65, 612], Operations: ['18*34=612'] Exploring Operation: 65-53=12, Resulting Numbers: [612, 12] Generated Node #3: [612, 12] from Operation: 65-53=12 Current State: 51:[612, 12], Operations: ['18*34=612', '65-53=12'] Exploring Operation: 612/12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 51, 78, 74 ]
72
[ "90-51=39", "78/39=2", "74-2=72" ]
Current State: 72:[90, 51, 78, 74], Operations: [] Exploring Operation: 90-51=39, Resulting Numbers: [78, 74, 39] Generated Node #2: [78, 74, 39] from Operation: 90-51=39 Current State: 72:[78, 74, 39], Operations: ['90-51=39'] Exploring Operation: 78/39=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 78/39=2 Current State: 72:[74, 2], Operations: ['90-51=39', '78/39=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 28, 46, 18 ]
26
[ "46-28=18", "18/18=1", "27-1=26" ]
Current State: 26:[27, 28, 46, 18], Operations: [] Exploring Operation: 46-28=18, Resulting Numbers: [27, 18, 18] Generated Node #2: [27, 18, 18] from Operation: 46-28=18 Current State: 26:[27, 18, 18], Operations: ['46-28=18'] Exploring Operation: 18/18=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 18/18=1 Current State: 26:[27, 1], Operations: ['46-28=18', '18/18=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 45, 31, 55, 38 ]
70
[ "55-45=10", "38-31=7", "10*7=70" ]
Current State: 70:[45, 31, 55, 38], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [31, 38, 10] Generated Node #2: [31, 38, 10] from Operation: 55-45=10 Current State: 70:[31, 38, 10], Operations: ['55-45=10'] Exploring Operation: 38-31=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 38-31=7 Current State: 70:[10, 7], Operations: ['55-45=10', '38-31=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 5, 42, 40 ]
85
[ "88-5=83", "42-40=2", "83+2=85" ]
Current State: 85:[88, 5, 42, 40], Operations: [] Exploring Operation: 88-5=83, Resulting Numbers: [42, 40, 83] Generated Node #2: [42, 40, 83] from Operation: 88-5=83 Current State: 85:[42, 40, 83], Operations: ['88-5=83'] Exploring Operation: 42-40=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 42-40=2 Current State: 85:[83, 2], Operations: ['88-5=83', '42-40=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 43, 83, 70, 39 ]
17
[ "43+83=126", "70+39=109", "126-109=17" ]
Current State: 17:[43, 83, 70, 39], Operations: [] Exploring Operation: 43+83=126, Resulting Numbers: [70, 39, 126] Generated Node #2: [70, 39, 126] from Operation: 43+83=126 Current State: 17:[70, 39, 126], Operations: ['43+83=126'] Exploring Operation: 70+39=109, Resulting Numbers: [126, 109] Generated Node #3: [126, 109] from Operation: 70+39=109 Current State: 17:[126, 109], Operations: ['43+83=126', '70+39=109'] Exploring Operation: 126-109=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 32, 45, 79 ]
10
[ "32-8=24", "79-45=34", "34-24=10" ]
Current State: 10:[8, 32, 45, 79], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [45, 79, 24] Generated Node #2: [45, 79, 24] from Operation: 32-8=24 Current State: 10:[45, 79, 24], Operations: ['32-8=24'] Exploring Operation: 79-45=34, Resulting Numbers: [24, 34] Generated Node #3: [24, 34] from Operation: 79-45=34 Current State: 10:[24, 34], Operations: ['32-8=24', '79-45=34'] Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 79, 38, 66, 33 ]
39
[ "79-38=41", "66/33=2", "41-2=39" ]
Current State: 39:[79, 38, 66, 33], Operations: [] Exploring Operation: 79-38=41, Resulting Numbers: [66, 33, 41] Generated Node #2: [66, 33, 41] from Operation: 79-38=41 Current State: 39:[66, 33, 41], Operations: ['79-38=41'] Exploring Operation: 66/33=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 66/33=2 Current State: 39:[41, 2], Operations: ['79-38=41', '66/33=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 10, 88, 36 ]
30
[ "92-10=82", "88-36=52", "82-52=30" ]
Current State: 30:[92, 10, 88, 36], Operations: [] Exploring Operation: 92-10=82, Resulting Numbers: [88, 36, 82] Generated Node #2: [88, 36, 82] from Operation: 92-10=82 Current State: 30:[88, 36, 82], Operations: ['92-10=82'] Exploring Operation: 88-36=52, Resulting Numbers: [82, 52] Generated Node #3: [82, 52] from Operation: 88-36=52 Current State: 30:[82, 52], Operations: ['92-10=82', '88-36=52'] Exploring Operation: 82-52=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 64, 67, 88 ]
100
[ "67-64=3", "36/3=12", "88+12=100" ]
Current State: 100:[36, 64, 67, 88], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [36, 88, 3] Generated Node #2: [36, 88, 3] from Operation: 67-64=3 Current State: 100:[36, 88, 3], Operations: ['67-64=3'] Exploring Operation: 36/3=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 36/3=12 Current State: 100:[88, 12], Operations: ['67-64=3', '36/3=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 51, 17, 47, 6 ]
27
[ "51+17=68", "47-6=41", "68-41=27" ]
Current State: 27:[51, 17, 47, 6], Operations: [] Exploring Operation: 51+17=68, Resulting Numbers: [47, 6, 68] Generated Node #2: [47, 6, 68] from Operation: 51+17=68 Current State: 27:[47, 6, 68], Operations: ['51+17=68'] Exploring Operation: 47-6=41, Resulting Numbers: [68, 41] Generated Node #3: [68, 41] from Operation: 47-6=41 Current State: 27:[68, 41], Operations: ['51+17=68', '47-6=41'] Exploring Operation: 68-41=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 14, 81, 1 ]
12
[ "79+14=93", "81*1=81", "93-81=12" ]
Current State: 12:[79, 14, 81, 1], Operations: [] Exploring Operation: 79+14=93, Resulting Numbers: [81, 1, 93] Generated Node #2: [81, 1, 93] from Operation: 79+14=93 Current State: 12:[81, 1, 93], Operations: ['79+14=93'] Exploring Operation: 81*1=81, Resulting Numbers: [93, 81] Generated Node #3: [93, 81] from Operation: 81*1=81 Current State: 12:[93, 81], Operations: ['79+14=93', '81*1=81'] Exploring Operation: 93-81=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 38, 62, 62 ]
80
[ "41+38=79", "62/62=1", "79+1=80" ]
Current State: 80:[41, 38, 62, 62], Operations: [] Exploring Operation: 41+38=79, Resulting Numbers: [62, 62, 79] Generated Node #2: [62, 62, 79] from Operation: 41+38=79 Current State: 80:[62, 62, 79], Operations: ['41+38=79'] Exploring Operation: 62/62=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 62/62=1 Current State: 80:[79, 1], Operations: ['41+38=79', '62/62=1'] Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 3, 40, 55 ]
42
[ "55-40=15", "3*15=45", "45-3=42" ]
Current State: 42:[3, 3, 40, 55], Operations: [] Exploring Operation: 55-40=15, Resulting Numbers: [3, 3, 15] Generated Node #2: [3, 3, 15] from Operation: 55-40=15 Current State: 42:[3, 3, 15], Operations: ['55-40=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,42 equal: Goal Reached Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 76, 36, 17 ]
64
[ "41+76=117", "36+17=53", "117-53=64" ]
Current State: 64:[41, 76, 36, 17], Operations: [] Exploring Operation: 41+76=117, Resulting Numbers: [36, 17, 117] Generated Node #2: [36, 17, 117] from Operation: 41+76=117 Current State: 64:[36, 17, 117], Operations: ['41+76=117'] Exploring Operation: 36+17=53, Resulting Numbers: [117, 53] Generated Node #3: [117, 53] from Operation: 36+17=53 Current State: 64:[117, 53], Operations: ['41+76=117', '36+17=53'] Exploring Operation: 117-53=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 64, 2, 19, 61 ]
13
[ "64-61=3", "2*3=6", "19-6=13" ]
Current State: 13:[64, 2, 19, 61], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [2, 19, 3] Generated Node #2: [2, 19, 3] from Operation: 64-61=3 Current State: 13:[2, 19, 3], Operations: ['64-61=3'] Exploring Operation: 2*3=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 2*3=6 Current State: 13:[19, 6], Operations: ['64-61=3', '2*3=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 97, 51, 27, 58 ]
10
[ "97-27=70", "58-51=7", "70/7=10" ]
Current State: 10:[97, 51, 27, 58], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [51, 58, 70] Generated Node #2: [51, 58, 70] from Operation: 97-27=70 Current State: 10:[51, 58, 70], Operations: ['97-27=70'] Exploring Operation: 58-51=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 58-51=7 Current State: 10:[70, 7], Operations: ['97-27=70', '58-51=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 25, 63, 77 ]
40
[ "1+25=26", "77-63=14", "26+14=40" ]
Current State: 40:[1, 25, 63, 77], Operations: [] Exploring Operation: 1+25=26, Resulting Numbers: [63, 77, 26] Generated Node #2: [63, 77, 26] from Operation: 1+25=26 Current State: 40:[63, 77, 26], Operations: ['1+25=26'] Exploring Operation: 77-63=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 77-63=14 Current State: 40:[26, 14], Operations: ['1+25=26', '77-63=14'] Exploring Operation: 26+14=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 55, 42, 54 ]
77
[ "34+55=89", "54-42=12", "89-12=77" ]
Current State: 77:[34, 55, 42, 54], Operations: [] Exploring Operation: 34+55=89, Resulting Numbers: [42, 54, 89] Generated Node #2: [42, 54, 89] from Operation: 34+55=89 Current State: 77:[42, 54, 89], Operations: ['34+55=89'] Exploring Operation: 54-42=12, Resulting Numbers: [89, 12] Generated Node #3: [89, 12] from Operation: 54-42=12 Current State: 77:[89, 12], Operations: ['34+55=89', '54-42=12'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 67, 10, 7 ]
51
[ "86+67=153", "10-7=3", "153/3=51" ]
Current State: 51:[86, 67, 10, 7], Operations: [] Exploring Operation: 86+67=153, Resulting Numbers: [10, 7, 153] Generated Node #2: [10, 7, 153] from Operation: 86+67=153 Current State: 51:[10, 7, 153], Operations: ['86+67=153'] Exploring Operation: 10-7=3, Resulting Numbers: [153, 3] Generated Node #3: [153, 3] from Operation: 10-7=3 Current State: 51:[153, 3], Operations: ['86+67=153', '10-7=3'] Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 79, 10, 8, 38 ]
73
[ "10+38=48", "48/8=6", "79-6=73" ]
Current State: 73:[79, 10, 8, 38], Operations: [] Exploring Operation: 10+38=48, Resulting Numbers: [79, 8, 48] Generated Node #2: [79, 8, 48] from Operation: 10+38=48 Current State: 73:[79, 8, 48], Operations: ['10+38=48'] Exploring Operation: 48/8=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 48/8=6 Current State: 73:[79, 6], Operations: ['10+38=48', '48/8=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 57, 96, 75 ]
87
[ "57-49=8", "96/8=12", "75+12=87" ]
Current State: 87:[49, 57, 96, 75], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [96, 75, 8] Generated Node #2: [96, 75, 8] from Operation: 57-49=8 Current State: 87:[96, 75, 8], Operations: ['57-49=8'] Exploring Operation: 96/8=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 96/8=12 Current State: 87:[75, 12], Operations: ['57-49=8', '96/8=12'] Exploring Operation: 75+12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 9, 26, 54, 2 ]
88
[ "26-9=17", "2*17=34", "54+34=88" ]
Current State: 88:[9, 26, 54, 2], Operations: [] Exploring Operation: 26-9=17, Resulting Numbers: [54, 2, 17] Generated Node #2: [54, 2, 17] from Operation: 26-9=17 Current State: 88:[54, 2, 17], Operations: ['26-9=17'] Exploring Operation: 2*17=34, Resulting Numbers: [54, 34] Generated Node #3: [54, 34] from Operation: 2*17=34 Current State: 88:[54, 34], Operations: ['26-9=17', '2*17=34'] Exploring Operation: 54+34=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 84, 70, 46, 56 ]
88
[ "84-70=14", "46+56=102", "102-14=88" ]
Current State: 88:[84, 70, 46, 56], Operations: [] Exploring Operation: 84-70=14, Resulting Numbers: [46, 56, 14] Generated Node #2: [46, 56, 14] from Operation: 84-70=14 Current State: 88:[46, 56, 14], Operations: ['84-70=14'] Exploring Operation: 46+56=102, Resulting Numbers: [14, 102] Generated Node #3: [14, 102] from Operation: 46+56=102 Current State: 88:[14, 102], Operations: ['84-70=14', '46+56=102'] Exploring Operation: 102-14=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 29, 41, 35 ]
34
[ "11+29=40", "41-35=6", "40-6=34" ]
Current State: 34:[11, 29, 41, 35], Operations: [] Exploring Operation: 11+29=40, Resulting Numbers: [41, 35, 40] Generated Node #2: [41, 35, 40] from Operation: 11+29=40 Current State: 34:[41, 35, 40], Operations: ['11+29=40'] Exploring Operation: 41-35=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 41-35=6 Current State: 34:[40, 6], Operations: ['11+29=40', '41-35=6'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 42, 14, 2 ]
97
[ "90-14=76", "42/2=21", "76+21=97" ]
Current State: 97:[90, 42, 14, 2], Operations: [] Exploring Operation: 90-14=76, Resulting Numbers: [42, 2, 76] Generated Node #2: [42, 2, 76] from Operation: 90-14=76 Current State: 97:[42, 2, 76], Operations: ['90-14=76'] Exploring Operation: 42/2=21, Resulting Numbers: [76, 21] Generated Node #3: [76, 21] from Operation: 42/2=21 Current State: 97:[76, 21], Operations: ['90-14=76', '42/2=21'] Exploring Operation: 76+21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 35, 81, 8, 3 ]
32
[ "35*3=105", "81-8=73", "105-73=32" ]
Current State: 32:[35, 81, 8, 3], Operations: [] Exploring Operation: 35*3=105, Resulting Numbers: [81, 8, 105] Generated Node #2: [81, 8, 105] from Operation: 35*3=105 Current State: 32:[81, 8, 105], Operations: ['35*3=105'] Exploring Operation: 81-8=73, Resulting Numbers: [105, 73] Generated Node #3: [105, 73] from Operation: 81-8=73 Current State: 32:[105, 73], Operations: ['35*3=105', '81-8=73'] Exploring Operation: 105-73=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 9, 93, 18, 81 ]
66
[ "81/9=9", "93-18=75", "75-9=66" ]
Current State: 66:[9, 93, 18, 81], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [93, 18, 9] Generated Node #2: [93, 18, 9] from Operation: 81/9=9 Current State: 66:[93, 18, 9], Operations: ['81/9=9'] Exploring Operation: 93-18=75, Resulting Numbers: [9, 75] Generated Node #3: [9, 75] from Operation: 93-18=75 Current State: 66:[9, 75], Operations: ['81/9=9', '93-18=75'] Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 58, 34, 16, 91 ]
16
[ "58+34=92", "92-91=1", "16*1=16" ]
Current State: 16:[58, 34, 16, 91], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [16, 91, 92] Generated Node #2: [16, 91, 92] from Operation: 58+34=92 Current State: 16:[16, 91, 92], Operations: ['58+34=92'] Exploring Operation: 92-91=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 92-91=1 Current State: 16:[16, 1], Operations: ['58+34=92', '92-91=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 56, 47, 72 ]
88
[ "11*72=792", "56-47=9", "792/9=88" ]
Current State: 88:[11, 56, 47, 72], Operations: [] Exploring Operation: 11*72=792, Resulting Numbers: [56, 47, 792] Generated Node #2: [56, 47, 792] from Operation: 11*72=792 Current State: 88:[56, 47, 792], Operations: ['11*72=792'] Exploring Operation: 56-47=9, Resulting Numbers: [792, 9] Generated Node #3: [792, 9] from Operation: 56-47=9 Current State: 88:[792, 9], Operations: ['11*72=792', '56-47=9'] Exploring Operation: 792/9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 43, 33, 9, 85 ]
66
[ "43-33=10", "85-9=76", "76-10=66" ]
Current State: 66:[43, 33, 9, 85], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [9, 85, 10] Generated Node #2: [9, 85, 10] from Operation: 43-33=10 Current State: 66:[9, 85, 10], Operations: ['43-33=10'] Exploring Operation: 85-9=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 85-9=76 Current State: 66:[10, 76], Operations: ['43-33=10', '85-9=76'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 43, 84, 72, 22 ]
91
[ "84-43=41", "72-22=50", "41+50=91" ]
Current State: 91:[43, 84, 72, 22], Operations: [] Exploring Operation: 84-43=41, Resulting Numbers: [72, 22, 41] Generated Node #2: [72, 22, 41] from Operation: 84-43=41 Current State: 91:[72, 22, 41], Operations: ['84-43=41'] Exploring Operation: 72-22=50, Resulting Numbers: [41, 50] Generated Node #3: [41, 50] from Operation: 72-22=50 Current State: 91:[41, 50], Operations: ['84-43=41', '72-22=50'] Exploring Operation: 41+50=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 24, 50, 88, 16 ]
46
[ "50-24=26", "88-16=72", "72-26=46" ]
Current State: 46:[24, 50, 88, 16], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [88, 16, 26] Generated Node #2: [88, 16, 26] from Operation: 50-24=26 Current State: 46:[88, 16, 26], Operations: ['50-24=26'] Exploring Operation: 88-16=72, Resulting Numbers: [26, 72] Generated Node #3: [26, 72] from Operation: 88-16=72 Current State: 46:[26, 72], Operations: ['50-24=26', '88-16=72'] Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 80, 8, 52, 9 ]
52
[ "80/8=10", "10-9=1", "52*1=52" ]
Current State: 52:[80, 8, 52, 9], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [52, 9, 10] Generated Node #2: [52, 9, 10] from Operation: 80/8=10 Current State: 52:[52, 9, 10], Operations: ['80/8=10'] Exploring Operation: 10-9=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 10-9=1 Current State: 52:[52, 1], Operations: ['80/8=10', '10-9=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 94, 26, 8, 7 ]
16
[ "94+26=120", "120-8=112", "112/7=16" ]
Current State: 16:[94, 26, 8, 7], Operations: [] Exploring Operation: 94+26=120, Resulting Numbers: [8, 7, 120] Generated Node #2: [8, 7, 120] from Operation: 94+26=120 Current State: 16:[8, 7, 120], Operations: ['94+26=120'] Exploring Operation: 120-8=112, Resulting Numbers: [7, 112] Generated Node #3: [7, 112] from Operation: 120-8=112 Current State: 16:[7, 112], Operations: ['94+26=120', '120-8=112'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 97, 77, 46 ]
50
[ "97-77=20", "20/5=4", "46+4=50" ]
Current State: 50:[5, 97, 77, 46], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [5, 46, 20] Generated Node #2: [5, 46, 20] from Operation: 97-77=20 Current State: 50:[5, 46, 20], Operations: ['97-77=20'] Exploring Operation: 20/5=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 20/5=4 Current State: 50:[46, 4], Operations: ['97-77=20', '20/5=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 15, 39, 22 ]
33
[ "55*15=825", "39*22=858", "858-825=33" ]
Current State: 33:[55, 15, 39, 22], Operations: [] Exploring Operation: 55*15=825, Resulting Numbers: [39, 22, 825] Generated Node #2: [39, 22, 825] from Operation: 55*15=825 Current State: 33:[39, 22, 825], Operations: ['55*15=825'] Exploring Operation: 39*22=858, Resulting Numbers: [825, 858] Generated Node #3: [825, 858] from Operation: 39*22=858 Current State: 33:[825, 858], Operations: ['55*15=825', '39*22=858'] Exploring Operation: 858-825=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 86, 25, 45 ]
17
[ "86-49=37", "45-25=20", "37-20=17" ]
Current State: 17:[49, 86, 25, 45], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [25, 45, 37] Generated Node #2: [25, 45, 37] from Operation: 86-49=37 Current State: 17:[25, 45, 37], Operations: ['86-49=37'] Exploring Operation: 45-25=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 45-25=20 Current State: 17:[37, 20], Operations: ['86-49=37', '45-25=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 19, 92, 3 ]
32
[ "35*3=105", "92-19=73", "105-73=32" ]
Current State: 32:[35, 19, 92, 3], Operations: [] Exploring Operation: 35*3=105, Resulting Numbers: [19, 92, 105] Generated Node #2: [19, 92, 105] from Operation: 35*3=105 Current State: 32:[19, 92, 105], Operations: ['35*3=105'] Exploring Operation: 92-19=73, Resulting Numbers: [105, 73] Generated Node #3: [105, 73] from Operation: 92-19=73 Current State: 32:[105, 73], Operations: ['35*3=105', '92-19=73'] Exploring Operation: 105-73=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 76, 9, 30 ]
90
[ "30/6=5", "76+9=85", "5+85=90" ]
Current State: 90:[6, 76, 9, 30], Operations: [] Exploring Operation: 30/6=5, Resulting Numbers: [76, 9, 5] Generated Node #2: [76, 9, 5] from Operation: 30/6=5 Current State: 90:[76, 9, 5], Operations: ['30/6=5'] Exploring Operation: 76+9=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 76+9=85 Current State: 90:[5, 85], Operations: ['30/6=5', '76+9=85'] Exploring Operation: 5+85=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 57, 49, 54 ]
80
[ "54-44=10", "57-49=8", "10*8=80" ]
Current State: 80:[44, 57, 49, 54], Operations: [] Exploring Operation: 54-44=10, Resulting Numbers: [57, 49, 10] Generated Node #2: [57, 49, 10] from Operation: 54-44=10 Current State: 80:[57, 49, 10], Operations: ['54-44=10'] Exploring Operation: 57-49=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 57-49=8 Current State: 80:[10, 8], Operations: ['54-44=10', '57-49=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 29, 33, 44, 42 ]
27
[ "44*42=1848", "1848/33=56", "56-29=27" ]
Current State: 27:[29, 33, 44, 42], Operations: [] Exploring Operation: 44*42=1848, Resulting Numbers: [29, 33, 1848] Generated Node #2: [29, 33, 1848] from Operation: 44*42=1848 Current State: 27:[29, 33, 1848], Operations: ['44*42=1848'] Exploring Operation: 1848/33=56, Resulting Numbers: [29, 56] Generated Node #3: [29, 56] from Operation: 1848/33=56 Current State: 27:[29, 56], Operations: ['44*42=1848', '1848/33=56'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 47, 2, 22, 37 ]
20
[ "47+37=84", "84/2=42", "42-22=20" ]
Current State: 20:[47, 2, 22, 37], Operations: [] Exploring Operation: 47+37=84, Resulting Numbers: [2, 22, 84] Generated Node #2: [2, 22, 84] from Operation: 47+37=84 Current State: 20:[2, 22, 84], Operations: ['47+37=84'] Exploring Operation: 84/2=42, Resulting Numbers: [22, 42] Generated Node #3: [22, 42] from Operation: 84/2=42 Current State: 20:[22, 42], Operations: ['47+37=84', '84/2=42'] Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 80, 74, 64, 9 ]
99
[ "80+74=154", "64-9=55", "154-55=99" ]
Current State: 99:[80, 74, 64, 9], Operations: [] Exploring Operation: 80+74=154, Resulting Numbers: [64, 9, 154] Generated Node #2: [64, 9, 154] from Operation: 80+74=154 Current State: 99:[64, 9, 154], Operations: ['80+74=154'] Exploring Operation: 64-9=55, Resulting Numbers: [154, 55] Generated Node #3: [154, 55] from Operation: 64-9=55 Current State: 99:[154, 55], Operations: ['80+74=154', '64-9=55'] Exploring Operation: 154-55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 22, 79, 77, 42 ]
43
[ "79-77=2", "42/2=21", "22+21=43" ]
Current State: 43:[22, 79, 77, 42], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [22, 42, 2] Generated Node #2: [22, 42, 2] from Operation: 79-77=2 Current State: 43:[22, 42, 2], Operations: ['79-77=2'] Exploring Operation: 42/2=21, Resulting Numbers: [22, 21] Generated Node #3: [22, 21] from Operation: 42/2=21 Current State: 43:[22, 21], Operations: ['79-77=2', '42/2=21'] Exploring Operation: 22+21=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 91, 26, 76 ]
89
[ "76-24=52", "52/26=2", "91-2=89" ]
Current State: 89:[24, 91, 26, 76], Operations: [] Exploring Operation: 76-24=52, Resulting Numbers: [91, 26, 52] Generated Node #2: [91, 26, 52] from Operation: 76-24=52 Current State: 89:[91, 26, 52], Operations: ['76-24=52'] Exploring Operation: 52/26=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 52/26=2 Current State: 89:[91, 2], Operations: ['76-24=52', '52/26=2'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 48, 3, 60, 83 ]
98
[ "48-3=45", "60+83=143", "143-45=98" ]
Current State: 98:[48, 3, 60, 83], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [60, 83, 45] Generated Node #2: [60, 83, 45] from Operation: 48-3=45 Current State: 98:[60, 83, 45], Operations: ['48-3=45'] Exploring Operation: 60+83=143, Resulting Numbers: [45, 143] Generated Node #3: [45, 143] from Operation: 60+83=143 Current State: 98:[45, 143], Operations: ['48-3=45', '60+83=143'] Exploring Operation: 143-45=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 88, 17, 10, 20 ]
58
[ "20-17=3", "10*3=30", "88-30=58" ]
Current State: 58:[88, 17, 10, 20], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [88, 10, 3] Generated Node #2: [88, 10, 3] from Operation: 20-17=3 Current State: 58:[88, 10, 3], Operations: ['20-17=3'] Exploring Operation: 10*3=30, Resulting Numbers: [88, 30] Generated Node #3: [88, 30] from Operation: 10*3=30 Current State: 58:[88, 30], Operations: ['20-17=3', '10*3=30'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 30, 60, 7, 79 ]
93
[ "60/30=2", "7*2=14", "79+14=93" ]
Current State: 93:[30, 60, 7, 79], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [7, 79, 2] Generated Node #2: [7, 79, 2] from Operation: 60/30=2 Current State: 93:[7, 79, 2], Operations: ['60/30=2'] Exploring Operation: 7*2=14, Resulting Numbers: [79, 14] Generated Node #3: [79, 14] from Operation: 7*2=14 Current State: 93:[79, 14], Operations: ['60/30=2', '7*2=14'] Exploring Operation: 79+14=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 31, 79, 98, 70 ]
58
[ "31+79=110", "98+70=168", "168-110=58" ]
Current State: 58:[31, 79, 98, 70], Operations: [] Exploring Operation: 31+79=110, Resulting Numbers: [98, 70, 110] Generated Node #2: [98, 70, 110] from Operation: 31+79=110 Current State: 58:[98, 70, 110], Operations: ['31+79=110'] Exploring Operation: 98+70=168, Resulting Numbers: [110, 168] Generated Node #3: [110, 168] from Operation: 98+70=168 Current State: 58:[110, 168], Operations: ['31+79=110', '98+70=168'] Exploring Operation: 168-110=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 24, 81, 93, 11 ]
46
[ "93*11=1023", "81+1023=1104", "1104/24=46" ]
Current State: 46:[24, 81, 93, 11], Operations: [] Exploring Operation: 93*11=1023, Resulting Numbers: [24, 81, 1023] Generated Node #2: [24, 81, 1023] from Operation: 93*11=1023 Current State: 46:[24, 81, 1023], Operations: ['93*11=1023'] Exploring Operation: 81+1023=1104, Resulting Numbers: [24, 1104] Generated Node #3: [24, 1104] from Operation: 81+1023=1104 Current State: 46:[24, 1104], Operations: ['93*11=1023', '81+1023=1104'] Exploring Operation: 1104/24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 38, 33, 66, 5 ]
66
[ "38-33=5", "66+5=71", "71-5=66" ]
Current State: 66:[38, 33, 66, 5], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [66, 5, 5] Generated Node #2: [66, 5, 5] from Operation: 38-33=5 Current State: 66:[66, 5, 5], Operations: ['38-33=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,66 equal: Goal Reached Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 24, 31, 59 ]
56
[ "26-24=2", "59-31=28", "2*28=56" ]
Current State: 56:[26, 24, 31, 59], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [31, 59, 2] Generated Node #2: [31, 59, 2] from Operation: 26-24=2 Current State: 56:[31, 59, 2], Operations: ['26-24=2'] Exploring Operation: 59-31=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 59-31=28 Current State: 56:[2, 28], Operations: ['26-24=2', '59-31=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 15, 34, 9 ]
81
[ "34-15=19", "9*19=171", "171-90=81" ]
Current State: 81:[90, 15, 34, 9], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [90, 9, 19] Generated Node #2: [90, 9, 19] from Operation: 34-15=19 Current State: 81:[90, 9, 19], Operations: ['34-15=19'] Exploring Operation: 9*19=171, Resulting Numbers: [90, 171] Generated Node #3: [90, 171] from Operation: 9*19=171 Current State: 81:[90, 171], Operations: ['34-15=19', '9*19=171'] Exploring Operation: 171-90=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 3, 14, 51 ]
39
[ "73+3=76", "51-14=37", "76-37=39" ]
Current State: 39:[73, 3, 14, 51], Operations: [] Exploring Operation: 73+3=76, Resulting Numbers: [14, 51, 76] Generated Node #2: [14, 51, 76] from Operation: 73+3=76 Current State: 39:[14, 51, 76], Operations: ['73+3=76'] Exploring Operation: 51-14=37, Resulting Numbers: [76, 37] Generated Node #3: [76, 37] from Operation: 51-14=37 Current State: 39:[76, 37], Operations: ['73+3=76', '51-14=37'] Exploring Operation: 76-37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 9, 27, 99 ]
64
[ "53+9=62", "27+99=126", "126-62=64" ]
Current State: 64:[53, 9, 27, 99], Operations: [] Exploring Operation: 53+9=62, Resulting Numbers: [27, 99, 62] Generated Node #2: [27, 99, 62] from Operation: 53+9=62 Current State: 64:[27, 99, 62], Operations: ['53+9=62'] Exploring Operation: 27+99=126, Resulting Numbers: [62, 126] Generated Node #3: [62, 126] from Operation: 27+99=126 Current State: 64:[62, 126], Operations: ['53+9=62', '27+99=126'] Exploring Operation: 126-62=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 13, 44, 25 ]
34
[ "31-25=6", "13*6=78", "78-44=34" ]
Current State: 34:[31, 13, 44, 25], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [13, 44, 6] Generated Node #2: [13, 44, 6] from Operation: 31-25=6 Current State: 34:[13, 44, 6], Operations: ['31-25=6'] Exploring Operation: 13*6=78, Resulting Numbers: [44, 78] Generated Node #3: [44, 78] from Operation: 13*6=78 Current State: 34:[44, 78], Operations: ['31-25=6', '13*6=78'] Exploring Operation: 78-44=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 81, 69, 44 ]
88
[ "24*44=1056", "81-69=12", "1056/12=88" ]
Current State: 88:[24, 81, 69, 44], Operations: [] Exploring Operation: 24*44=1056, Resulting Numbers: [81, 69, 1056] Generated Node #2: [81, 69, 1056] from Operation: 24*44=1056 Current State: 88:[81, 69, 1056], Operations: ['24*44=1056'] Exploring Operation: 81-69=12, Resulting Numbers: [1056, 12] Generated Node #3: [1056, 12] from Operation: 81-69=12 Current State: 88:[1056, 12], Operations: ['24*44=1056', '81-69=12'] Exploring Operation: 1056/12=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 84, 11, 57, 33 ]
66
[ "84-57=27", "33-27=6", "11*6=66" ]
Current State: 66:[84, 11, 57, 33], Operations: [] Exploring Operation: 84-57=27, Resulting Numbers: [11, 33, 27] Generated Node #2: [11, 33, 27] from Operation: 84-57=27 Current State: 66:[11, 33, 27], Operations: ['84-57=27'] Exploring Operation: 33-27=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 33-27=6 Current State: 66:[11, 6], Operations: ['84-57=27', '33-27=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 97, 80, 83 ]
63
[ "97+83=180", "28*180=5040", "5040/80=63" ]
Current State: 63:[28, 97, 80, 83], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [28, 80, 180] Generated Node #2: [28, 80, 180] from Operation: 97+83=180 Current State: 63:[28, 80, 180], Operations: ['97+83=180'] Exploring Operation: 28*180=5040, Resulting Numbers: [80, 5040] Generated Node #3: [80, 5040] from Operation: 28*180=5040 Current State: 63:[80, 5040], Operations: ['97+83=180', '28*180=5040'] Exploring Operation: 5040/80=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 93, 93, 3 ]
85
[ "81+3=84", "93/93=1", "84+1=85" ]
Current State: 85:[81, 93, 93, 3], Operations: [] Exploring Operation: 81+3=84, Resulting Numbers: [93, 93, 84] Generated Node #2: [93, 93, 84] from Operation: 81+3=84 Current State: 85:[93, 93, 84], Operations: ['81+3=84'] Exploring Operation: 93/93=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 93/93=1 Current State: 85:[84, 1], Operations: ['81+3=84', '93/93=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 44, 47, 1, 21 ]
84
[ "47-44=3", "1+3=4", "21*4=84" ]
Current State: 84:[44, 47, 1, 21], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [1, 21, 3] Generated Node #2: [1, 21, 3] from Operation: 47-44=3 Current State: 84:[1, 21, 3], Operations: ['47-44=3'] Exploring Operation: 1+3=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 1+3=4 Current State: 84:[21, 4], Operations: ['47-44=3', '1+3=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 23, 64, 89 ]
28
[ "64/16=4", "23+89=112", "112/4=28" ]
Current State: 28:[16, 23, 64, 89], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [23, 89, 4] Generated Node #2: [23, 89, 4] from Operation: 64/16=4 Current State: 28:[23, 89, 4], Operations: ['64/16=4'] Exploring Operation: 23+89=112, Resulting Numbers: [4, 112] Generated Node #3: [4, 112] from Operation: 23+89=112 Current State: 28:[4, 112], Operations: ['64/16=4', '23+89=112'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 64, 36, 62 ]
28
[ "62-54=8", "64/8=8", "36-8=28" ]
Current State: 28:[54, 64, 36, 62], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [64, 36, 8] Generated Node #2: [64, 36, 8] from Operation: 62-54=8 Current State: 28:[64, 36, 8], Operations: ['62-54=8'] Exploring Operation: 64/8=8, Resulting Numbers: [36, 8] Generated Node #3: [36, 8] from Operation: 64/8=8 Current State: 28:[36, 8], Operations: ['62-54=8', '64/8=8'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 28, 26, 37 ]
33
[ "50-28=22", "37-26=11", "22+11=33" ]
Current State: 33:[50, 28, 26, 37], Operations: [] Exploring Operation: 50-28=22, Resulting Numbers: [26, 37, 22] Generated Node #2: [26, 37, 22] from Operation: 50-28=22 Current State: 33:[26, 37, 22], Operations: ['50-28=22'] Exploring Operation: 37-26=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 37-26=11 Current State: 33:[22, 11], Operations: ['50-28=22', '37-26=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 71, 94, 96 ]
49
[ "96-94=2", "71*2=142", "142-93=49" ]
Current State: 49:[93, 71, 94, 96], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [93, 71, 2] Generated Node #2: [93, 71, 2] from Operation: 96-94=2 Current State: 49:[93, 71, 2], Operations: ['96-94=2'] Exploring Operation: 71*2=142, Resulting Numbers: [93, 142] Generated Node #3: [93, 142] from Operation: 71*2=142 Current State: 49:[93, 142], Operations: ['96-94=2', '71*2=142'] Exploring Operation: 142-93=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 60, 22, 15 ]
26
[ "60/30=2", "22/2=11", "15+11=26" ]
Current State: 26:[30, 60, 22, 15], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [22, 15, 2] Generated Node #2: [22, 15, 2] from Operation: 60/30=2 Current State: 26:[22, 15, 2], Operations: ['60/30=2'] Exploring Operation: 22/2=11, Resulting Numbers: [15, 11] Generated Node #3: [15, 11] from Operation: 22/2=11 Current State: 26:[15, 11], Operations: ['60/30=2', '22/2=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 63, 98, 14, 25 ]
10
[ "98-63=35", "14*25=350", "350/35=10" ]
Current State: 10:[63, 98, 14, 25], Operations: [] Exploring Operation: 98-63=35, Resulting Numbers: [14, 25, 35] Generated Node #2: [14, 25, 35] from Operation: 98-63=35 Current State: 10:[14, 25, 35], Operations: ['98-63=35'] Exploring Operation: 14*25=350, Resulting Numbers: [35, 350] Generated Node #3: [35, 350] from Operation: 14*25=350 Current State: 10:[35, 350], Operations: ['98-63=35', '14*25=350'] Exploring Operation: 350/35=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 57, 12, 66, 63 ]
64
[ "63-57=6", "12/6=2", "66-2=64" ]
Current State: 64:[57, 12, 66, 63], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [12, 66, 6] Generated Node #2: [12, 66, 6] from Operation: 63-57=6 Current State: 64:[12, 66, 6], Operations: ['63-57=6'] Exploring Operation: 12/6=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 12/6=2 Current State: 64:[66, 2], Operations: ['63-57=6', '12/6=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 97, 49, 92, 43 ]
97
[ "97+49=146", "92-43=49", "146-49=97" ]
Current State: 97:[97, 49, 92, 43], Operations: [] Exploring Operation: 97+49=146, Resulting Numbers: [92, 43, 146] Generated Node #2: [92, 43, 146] from Operation: 97+49=146 Current State: 97:[92, 43, 146], Operations: ['97+49=146'] Exploring Operation: 92-43=49, Resulting Numbers: [146, 49] Generated Node #3: [146, 49] from Operation: 92-43=49 Current State: 97:[146, 49], Operations: ['97+49=146', '92-43=49'] Exploring Operation: 146-49=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 60, 89, 4 ]
77
[ "60-57=3", "4*3=12", "89-12=77" ]
Current State: 77:[57, 60, 89, 4], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [89, 4, 3] Generated Node #2: [89, 4, 3] from Operation: 60-57=3 Current State: 77:[89, 4, 3], Operations: ['60-57=3'] Exploring Operation: 4*3=12, Resulting Numbers: [89, 12] Generated Node #3: [89, 12] from Operation: 4*3=12 Current State: 77:[89, 12], Operations: ['60-57=3', '4*3=12'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 27, 93, 6 ]
32
[ "40+27=67", "93+6=99", "99-67=32" ]
Current State: 32:[40, 27, 93, 6], Operations: [] Exploring Operation: 40+27=67, Resulting Numbers: [93, 6, 67] Generated Node #2: [93, 6, 67] from Operation: 40+27=67 Current State: 32:[93, 6, 67], Operations: ['40+27=67'] Exploring Operation: 93+6=99, Resulting Numbers: [67, 99] Generated Node #3: [67, 99] from Operation: 93+6=99 Current State: 32:[67, 99], Operations: ['40+27=67', '93+6=99'] Exploring Operation: 99-67=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 47, 64, 43 ]
47
[ "73-47=26", "64-43=21", "26+21=47" ]
Current State: 47:[73, 47, 64, 43], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [64, 43, 26] Generated Node #2: [64, 43, 26] from Operation: 73-47=26 Current State: 47:[64, 43, 26], Operations: ['73-47=26'] Exploring Operation: 64-43=21, Resulting Numbers: [26, 21] Generated Node #3: [26, 21] from Operation: 64-43=21 Current State: 47:[26, 21], Operations: ['73-47=26', '64-43=21'] Exploring Operation: 26+21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 49, 85, 90 ]
31
[ "85-80=5", "90/5=18", "49-18=31" ]
Current State: 31:[80, 49, 85, 90], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [49, 90, 5] Generated Node #2: [49, 90, 5] from Operation: 85-80=5 Current State: 31:[49, 90, 5], Operations: ['85-80=5'] Exploring Operation: 90/5=18, Resulting Numbers: [49, 18] Generated Node #3: [49, 18] from Operation: 90/5=18 Current State: 31:[49, 18], Operations: ['85-80=5', '90/5=18'] Exploring Operation: 49-18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 84, 47, 2, 32 ]
74
[ "47+32=79", "2*79=158", "158-84=74" ]
Current State: 74:[84, 47, 2, 32], Operations: [] Exploring Operation: 47+32=79, Resulting Numbers: [84, 2, 79] Generated Node #2: [84, 2, 79] from Operation: 47+32=79 Current State: 74:[84, 2, 79], Operations: ['47+32=79'] Exploring Operation: 2*79=158, Resulting Numbers: [84, 158] Generated Node #3: [84, 158] from Operation: 2*79=158 Current State: 74:[84, 158], Operations: ['47+32=79', '2*79=158'] Exploring Operation: 158-84=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 1, 86, 11 ]
10
[ "13+86=99", "99/11=9", "1+9=10" ]
Current State: 10:[13, 1, 86, 11], Operations: [] Exploring Operation: 13+86=99, Resulting Numbers: [1, 11, 99] Generated Node #2: [1, 11, 99] from Operation: 13+86=99 Current State: 10:[1, 11, 99], Operations: ['13+86=99'] Exploring Operation: 99/11=9, Resulting Numbers: [1, 9] Generated Node #3: [1, 9] from Operation: 99/11=9 Current State: 10:[1, 9], Operations: ['13+86=99', '99/11=9'] Exploring Operation: 1+9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 41, 2, 8, 92 ]
72
[ "41*8=328", "328/2=164", "164-92=72" ]
Current State: 72:[41, 2, 8, 92], Operations: [] Exploring Operation: 41*8=328, Resulting Numbers: [2, 92, 328] Generated Node #2: [2, 92, 328] from Operation: 41*8=328 Current State: 72:[2, 92, 328], Operations: ['41*8=328'] Exploring Operation: 328/2=164, Resulting Numbers: [92, 164] Generated Node #3: [92, 164] from Operation: 328/2=164 Current State: 72:[92, 164], Operations: ['41*8=328', '328/2=164'] Exploring Operation: 164-92=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 9, 11, 4 ]
21
[ "54/9=6", "11+4=15", "6+15=21" ]
Current State: 21:[54, 9, 11, 4], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [11, 4, 6] Generated Node #2: [11, 4, 6] from Operation: 54/9=6 Current State: 21:[11, 4, 6], Operations: ['54/9=6'] Exploring Operation: 11+4=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 11+4=15 Current State: 21:[6, 15], Operations: ['54/9=6', '11+4=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 92, 50, 76 ]
56
[ "92-22=70", "50+76=126", "126-70=56" ]
Current State: 56:[22, 92, 50, 76], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [50, 76, 70] Generated Node #2: [50, 76, 70] from Operation: 92-22=70 Current State: 56:[50, 76, 70], Operations: ['92-22=70'] Exploring Operation: 50+76=126, Resulting Numbers: [70, 126] Generated Node #3: [70, 126] from Operation: 50+76=126 Current State: 56:[70, 126], Operations: ['92-22=70', '50+76=126'] Exploring Operation: 126-70=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 47, 97, 72 ]
85
[ "53-47=6", "72/6=12", "97-12=85" ]
Current State: 85:[53, 47, 97, 72], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [97, 72, 6] Generated Node #2: [97, 72, 6] from Operation: 53-47=6 Current State: 85:[97, 72, 6], Operations: ['53-47=6'] Exploring Operation: 72/6=12, Resulting Numbers: [97, 12] Generated Node #3: [97, 12] from Operation: 72/6=12 Current State: 85:[97, 12], Operations: ['53-47=6', '72/6=12'] Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4