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
[ 90, 42, 41, 30 ]
55
[ "90/30=3", "42/3=14", "41+14=55" ]
Current State: 55:[90, 42, 41, 30], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [42, 41, 3] Generated Node #2: [42, 41, 3] from Operation: 90/30=3 Current State: 55:[42, 41, 3], Operations: ['90/30=3'] Exploring Operation: 42/3=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 42/3=14 Current State: 55:[41, 14], Operations: ['90/30=3', '42/3=14'] Exploring Operation: 41+14=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 31, 45, 64, 1 ]
96
[ "31-1=30", "45*64=2880", "2880/30=96" ]
Current State: 96:[31, 45, 64, 1], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [45, 64, 30] Generated Node #2: [45, 64, 30] from Operation: 31-1=30 Current State: 96:[45, 64, 30], Operations: ['31-1=30'] Exploring Operation: 45*64=2880, Resulting Numbers: [30, 2880] Generated Node #3: [30, 2880] from Operation: 45*64=2880 Current State: 96:[30, 2880], Operations: ['31-1=30', '45*64=2880'] Exploring Operation: 2880/30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 3, 70, 2 ]
85
[ "6*2=12", "3+70=73", "12+73=85" ]
Current State: 85:[6, 3, 70, 2], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [3, 70, 12] Generated Node #2: [3, 70, 12] from Operation: 6*2=12 Current State: 85:[3, 70, 12], Operations: ['6*2=12'] Exploring Operation: 3+70=73, Resulting Numbers: [12, 73] Generated Node #3: [12, 73] from Operation: 3+70=73 Current State: 85:[12, 73], Operations: ['6*2=12', '3+70=73'] Exploring Operation: 12+73=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 42, 6, 75 ]
90
[ "8+75=83", "42/6=7", "83+7=90" ]
Current State: 90:[8, 42, 6, 75], Operations: [] Exploring Operation: 8+75=83, Resulting Numbers: [42, 6, 83] Generated Node #2: [42, 6, 83] from Operation: 8+75=83 Current State: 90:[42, 6, 83], Operations: ['8+75=83'] Exploring Operation: 42/6=7, Resulting Numbers: [83, 7] Generated Node #3: [83, 7] from Operation: 42/6=7 Current State: 90:[83, 7], Operations: ['8+75=83', '42/6=7'] Exploring Operation: 83+7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 23, 95, 9 ]
98
[ "24*9=216", "23+95=118", "216-118=98" ]
Current State: 98:[24, 23, 95, 9], Operations: [] Exploring Operation: 24*9=216, Resulting Numbers: [23, 95, 216] Generated Node #2: [23, 95, 216] from Operation: 24*9=216 Current State: 98:[23, 95, 216], Operations: ['24*9=216'] Exploring Operation: 23+95=118, Resulting Numbers: [216, 118] Generated Node #3: [216, 118] from Operation: 23+95=118 Current State: 98:[216, 118], Operations: ['24*9=216', '23+95=118'] Exploring Operation: 216-118=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 3, 5, 4 ]
69
[ "52-3=49", "5*4=20", "49+20=69" ]
Current State: 69:[52, 3, 5, 4], Operations: [] Exploring Operation: 52-3=49, Resulting Numbers: [5, 4, 49] Generated Node #2: [5, 4, 49] from Operation: 52-3=49 Current State: 69:[5, 4, 49], Operations: ['52-3=49'] Exploring Operation: 5*4=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 5*4=20 Current State: 69:[49, 20], Operations: ['52-3=49', '5*4=20'] Exploring Operation: 49+20=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 47, 56, 8 ]
55
[ "6*8=48", "47+56=103", "103-48=55" ]
Current State: 55:[6, 47, 56, 8], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [47, 56, 48] Generated Node #2: [47, 56, 48] from Operation: 6*8=48 Current State: 55:[47, 56, 48], Operations: ['6*8=48'] Exploring Operation: 47+56=103, Resulting Numbers: [48, 103] Generated Node #3: [48, 103] from Operation: 47+56=103 Current State: 55:[48, 103], Operations: ['6*8=48', '47+56=103'] Exploring Operation: 103-48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 45, 8, 40 ]
71
[ "21+45=66", "40/8=5", "66+5=71" ]
Current State: 71:[21, 45, 8, 40], Operations: [] Exploring Operation: 21+45=66, Resulting Numbers: [8, 40, 66] Generated Node #2: [8, 40, 66] from Operation: 21+45=66 Current State: 71:[8, 40, 66], Operations: ['21+45=66'] Exploring Operation: 40/8=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 40/8=5 Current State: 71:[66, 5], Operations: ['21+45=66', '40/8=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 20, 6, 40 ]
14
[ "36/6=6", "40-20=20", "20-6=14" ]
Current State: 14:[36, 20, 6, 40], Operations: [] Exploring Operation: 36/6=6, Resulting Numbers: [20, 40, 6] Generated Node #2: [20, 40, 6] from Operation: 36/6=6 Current State: 14:[20, 40, 6], Operations: ['36/6=6'] Exploring Operation: 40-20=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 40-20=20 Current State: 14:[6, 20], Operations: ['36/6=6', '40-20=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 52, 13, 23 ]
94
[ "52*23=1196", "26+1196=1222", "1222/13=94" ]
Current State: 94:[26, 52, 13, 23], Operations: [] Exploring Operation: 52*23=1196, Resulting Numbers: [26, 13, 1196] Generated Node #2: [26, 13, 1196] from Operation: 52*23=1196 Current State: 94:[26, 13, 1196], Operations: ['52*23=1196'] Exploring Operation: 26+1196=1222, Resulting Numbers: [13, 1222] Generated Node #3: [13, 1222] from Operation: 26+1196=1222 Current State: 94:[13, 1222], Operations: ['52*23=1196', '26+1196=1222'] Exploring Operation: 1222/13=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 50, 45, 22, 3 ]
70
[ "50+45=95", "22+3=25", "95-25=70" ]
Current State: 70:[50, 45, 22, 3], Operations: [] Exploring Operation: 50+45=95, Resulting Numbers: [22, 3, 95] Generated Node #2: [22, 3, 95] from Operation: 50+45=95 Current State: 70:[22, 3, 95], Operations: ['50+45=95'] Exploring Operation: 22+3=25, Resulting Numbers: [95, 25] Generated Node #3: [95, 25] from Operation: 22+3=25 Current State: 70:[95, 25], Operations: ['50+45=95', '22+3=25'] Exploring Operation: 95-25=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 51, 2, 14, 82 ]
38
[ "82-51=31", "14/2=7", "31+7=38" ]
Current State: 38:[51, 2, 14, 82], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [2, 14, 31] Generated Node #2: [2, 14, 31] from Operation: 82-51=31 Current State: 38:[2, 14, 31], Operations: ['82-51=31'] Exploring Operation: 14/2=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 14/2=7 Current State: 38:[31, 7], Operations: ['82-51=31', '14/2=7'] Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 54, 55, 18, 1 ]
17
[ "55-54=1", "18*1=18", "18-1=17" ]
Current State: 17:[54, 55, 18, 1], Operations: [] Exploring Operation: 55-54=1, Resulting Numbers: [18, 1, 1] Generated Node #2: [18, 1, 1] from Operation: 55-54=1 Current State: 17:[18, 1, 1], Operations: ['55-54=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,17 equal: Goal Reached Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 77, 15, 3, 8 ]
51
[ "77-15=62", "3+8=11", "62-11=51" ]
Current State: 51:[77, 15, 3, 8], Operations: [] Exploring Operation: 77-15=62, Resulting Numbers: [3, 8, 62] Generated Node #2: [3, 8, 62] from Operation: 77-15=62 Current State: 51:[3, 8, 62], Operations: ['77-15=62'] Exploring Operation: 3+8=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 3+8=11 Current State: 51:[62, 11], Operations: ['77-15=62', '3+8=11'] Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 72, 42, 21, 77 ]
39
[ "72*42=3024", "3024-21=3003", "3003/77=39" ]
Current State: 39:[72, 42, 21, 77], Operations: [] Exploring Operation: 72*42=3024, Resulting Numbers: [21, 77, 3024] Generated Node #2: [21, 77, 3024] from Operation: 72*42=3024 Current State: 39:[21, 77, 3024], Operations: ['72*42=3024'] Exploring Operation: 3024-21=3003, Resulting Numbers: [77, 3003] Generated Node #3: [77, 3003] from Operation: 3024-21=3003 Current State: 39:[77, 3003], Operations: ['72*42=3024', '3024-21=3003'] Exploring Operation: 3003/77=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 64, 79, 72 ]
14
[ "64-57=7", "79-72=7", "7+7=14" ]
Current State: 14:[57, 64, 79, 72], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [79, 72, 7] Generated Node #2: [79, 72, 7] from Operation: 64-57=7 Current State: 14:[79, 72, 7], Operations: ['64-57=7'] Exploring Operation: 79-72=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 79-72=7 Current State: 14:[7, 7], Operations: ['64-57=7', '79-72=7'] Exploring Operation: 7+7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 9, 63, 65, 20 ]
92
[ "63/9=7", "65+20=85", "7+85=92" ]
Current State: 92:[9, 63, 65, 20], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [65, 20, 7] Generated Node #2: [65, 20, 7] from Operation: 63/9=7 Current State: 92:[65, 20, 7], Operations: ['63/9=7'] Exploring Operation: 65+20=85, Resulting Numbers: [7, 85] Generated Node #3: [7, 85] from Operation: 65+20=85 Current State: 92:[7, 85], Operations: ['63/9=7', '65+20=85'] Exploring Operation: 7+85=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 65, 89, 34, 44 ]
14
[ "89-65=24", "44-34=10", "24-10=14" ]
Current State: 14:[65, 89, 34, 44], Operations: [] Exploring Operation: 89-65=24, Resulting Numbers: [34, 44, 24] Generated Node #2: [34, 44, 24] from Operation: 89-65=24 Current State: 14:[34, 44, 24], Operations: ['89-65=24'] Exploring Operation: 44-34=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 44-34=10 Current State: 14:[24, 10], Operations: ['89-65=24', '44-34=10'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 57, 64, 61, 20 ]
69
[ "61-57=4", "20/4=5", "64+5=69" ]
Current State: 69:[57, 64, 61, 20], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [64, 20, 4] Generated Node #2: [64, 20, 4] from Operation: 61-57=4 Current State: 69:[64, 20, 4], Operations: ['61-57=4'] Exploring Operation: 20/4=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 20/4=5 Current State: 69:[64, 5], Operations: ['61-57=4', '20/4=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 31, 38, 17 ]
59
[ "49+31=80", "38-17=21", "80-21=59" ]
Current State: 59:[49, 31, 38, 17], Operations: [] Exploring Operation: 49+31=80, Resulting Numbers: [38, 17, 80] Generated Node #2: [38, 17, 80] from Operation: 49+31=80 Current State: 59:[38, 17, 80], Operations: ['49+31=80'] Exploring Operation: 38-17=21, Resulting Numbers: [80, 21] Generated Node #3: [80, 21] from Operation: 38-17=21 Current State: 59:[80, 21], Operations: ['49+31=80', '38-17=21'] Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 24, 40, 56 ]
82
[ "24+56=80", "80/40=2", "84-2=82" ]
Current State: 82:[84, 24, 40, 56], Operations: [] Exploring Operation: 24+56=80, Resulting Numbers: [84, 40, 80] Generated Node #2: [84, 40, 80] from Operation: 24+56=80 Current State: 82:[84, 40, 80], Operations: ['24+56=80'] Exploring Operation: 80/40=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 80/40=2 Current State: 82:[84, 2], Operations: ['24+56=80', '80/40=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 60, 6, 34 ]
56
[ "60/30=2", "34-6=28", "2*28=56" ]
Current State: 56:[30, 60, 6, 34], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [6, 34, 2] Generated Node #2: [6, 34, 2] from Operation: 60/30=2 Current State: 56:[6, 34, 2], Operations: ['60/30=2'] Exploring Operation: 34-6=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 34-6=28 Current State: 56:[2, 28], Operations: ['60/30=2', '34-6=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 82, 9, 64 ]
78
[ "44+82=126", "126/9=14", "64+14=78" ]
Current State: 78:[44, 82, 9, 64], Operations: [] Exploring Operation: 44+82=126, Resulting Numbers: [9, 64, 126] Generated Node #2: [9, 64, 126] from Operation: 44+82=126 Current State: 78:[9, 64, 126], Operations: ['44+82=126'] Exploring Operation: 126/9=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 126/9=14 Current State: 78:[64, 14], Operations: ['44+82=126', '126/9=14'] Exploring Operation: 64+14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 81, 6, 25 ]
68
[ "2*6=12", "81-25=56", "12+56=68" ]
Current State: 68:[2, 81, 6, 25], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [81, 25, 12] Generated Node #2: [81, 25, 12] from Operation: 2*6=12 Current State: 68:[81, 25, 12], Operations: ['2*6=12'] Exploring Operation: 81-25=56, Resulting Numbers: [12, 56] Generated Node #3: [12, 56] from Operation: 81-25=56 Current State: 68:[12, 56], Operations: ['2*6=12', '81-25=56'] Exploring Operation: 12+56=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 92, 33, 50, 82 ]
88
[ "50+82=132", "132/33=4", "92-4=88" ]
Current State: 88:[92, 33, 50, 82], Operations: [] Exploring Operation: 50+82=132, Resulting Numbers: [92, 33, 132] Generated Node #2: [92, 33, 132] from Operation: 50+82=132 Current State: 88:[92, 33, 132], Operations: ['50+82=132'] Exploring Operation: 132/33=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 132/33=4 Current State: 88:[92, 4], Operations: ['50+82=132', '132/33=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 71, 22, 36 ]
30
[ "61+71=132", "132/22=6", "36-6=30" ]
Current State: 30:[61, 71, 22, 36], Operations: [] Exploring Operation: 61+71=132, Resulting Numbers: [22, 36, 132] Generated Node #2: [22, 36, 132] from Operation: 61+71=132 Current State: 30:[22, 36, 132], Operations: ['61+71=132'] Exploring Operation: 132/22=6, Resulting Numbers: [36, 6] Generated Node #3: [36, 6] from Operation: 132/22=6 Current State: 30:[36, 6], Operations: ['61+71=132', '132/22=6'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 2, 66, 69 ]
75
[ "6+66=72", "2*72=144", "144-69=75" ]
Current State: 75:[6, 2, 66, 69], Operations: [] Exploring Operation: 6+66=72, Resulting Numbers: [2, 69, 72] Generated Node #2: [2, 69, 72] from Operation: 6+66=72 Current State: 75:[2, 69, 72], Operations: ['6+66=72'] Exploring Operation: 2*72=144, Resulting Numbers: [69, 144] Generated Node #3: [69, 144] from Operation: 2*72=144 Current State: 75:[69, 144], Operations: ['6+66=72', '2*72=144'] Exploring Operation: 144-69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 23, 93, 4 ]
95
[ "29-23=6", "93-4=89", "6+89=95" ]
Current State: 95:[29, 23, 93, 4], Operations: [] Exploring Operation: 29-23=6, Resulting Numbers: [93, 4, 6] Generated Node #2: [93, 4, 6] from Operation: 29-23=6 Current State: 95:[93, 4, 6], Operations: ['29-23=6'] Exploring Operation: 93-4=89, Resulting Numbers: [6, 89] Generated Node #3: [6, 89] from Operation: 93-4=89 Current State: 95:[6, 89], Operations: ['29-23=6', '93-4=89'] Exploring Operation: 6+89=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 36, 36, 21 ]
21
[ "36-36=0", "86*0=0", "21+0=21" ]
Current State: 21:[86, 36, 36, 21], Operations: [] Exploring Operation: 36-36=0, Resulting Numbers: [86, 21, 0] Generated Node #2: [86, 21, 0] from Operation: 36-36=0 Current State: 21:[86, 21, 0], Operations: ['36-36=0'] Exploring Operation: 86*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 86*0=0 Current State: 21:[21, 0], Operations: ['36-36=0', '86*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 8, 80, 2 ]
40
[ "9-8=1", "80/2=40", "1*40=40" ]
Current State: 40:[9, 8, 80, 2], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [80, 2, 1] Generated Node #2: [80, 2, 1] from Operation: 9-8=1 Current State: 40:[80, 2, 1], Operations: ['9-8=1'] Exploring Operation: 80/2=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 80/2=40 Current State: 40:[1, 40], Operations: ['9-8=1', '80/2=40'] Exploring Operation: 1*40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 93, 51, 33 ]
96
[ "53*93=4929", "4929-33=4896", "4896/51=96" ]
Current State: 96:[53, 93, 51, 33], Operations: [] Exploring Operation: 53*93=4929, Resulting Numbers: [51, 33, 4929] Generated Node #2: [51, 33, 4929] from Operation: 53*93=4929 Current State: 96:[51, 33, 4929], Operations: ['53*93=4929'] Exploring Operation: 4929-33=4896, Resulting Numbers: [51, 4896] Generated Node #3: [51, 4896] from Operation: 4929-33=4896 Current State: 96:[51, 4896], Operations: ['53*93=4929', '4929-33=4896'] Exploring Operation: 4896/51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 68, 67, 89 ]
27
[ "68-19=49", "89-67=22", "49-22=27" ]
Current State: 27:[19, 68, 67, 89], Operations: [] Exploring Operation: 68-19=49, Resulting Numbers: [67, 89, 49] Generated Node #2: [67, 89, 49] from Operation: 68-19=49 Current State: 27:[67, 89, 49], Operations: ['68-19=49'] Exploring Operation: 89-67=22, Resulting Numbers: [49, 22] Generated Node #3: [49, 22] from Operation: 89-67=22 Current State: 27:[49, 22], Operations: ['68-19=49', '89-67=22'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 84, 70, 98 ]
23
[ "98-84=14", "70/14=5", "28-5=23" ]
Current State: 23:[28, 84, 70, 98], Operations: [] Exploring Operation: 98-84=14, Resulting Numbers: [28, 70, 14] Generated Node #2: [28, 70, 14] from Operation: 98-84=14 Current State: 23:[28, 70, 14], Operations: ['98-84=14'] Exploring Operation: 70/14=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 70/14=5 Current State: 23:[28, 5], Operations: ['98-84=14', '70/14=5'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 5, 4, 10 ]
73
[ "63+10=73", "5-4=1", "73*1=73" ]
Current State: 73:[63, 5, 4, 10], Operations: [] Exploring Operation: 63+10=73, Resulting Numbers: [5, 4, 73] Generated Node #2: [5, 4, 73] from Operation: 63+10=73 Current State: 73:[5, 4, 73], Operations: ['63+10=73'] Exploring Operation: 5-4=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 5-4=1 Current State: 73:[73, 1], Operations: ['63+10=73', '5-4=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 86, 52, 4, 96 ]
38
[ "86+52=138", "4+96=100", "138-100=38" ]
Current State: 38:[86, 52, 4, 96], Operations: [] Exploring Operation: 86+52=138, Resulting Numbers: [4, 96, 138] Generated Node #2: [4, 96, 138] from Operation: 86+52=138 Current State: 38:[4, 96, 138], Operations: ['86+52=138'] Exploring Operation: 4+96=100, Resulting Numbers: [138, 100] Generated Node #3: [138, 100] from Operation: 4+96=100 Current State: 38:[138, 100], Operations: ['86+52=138', '4+96=100'] Exploring Operation: 138-100=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 77, 6, 3 ]
80
[ "3+6=9", "9/3=3", "77+3=80" ]
Current State: 80:[3, 77, 6, 3], Operations: [] Exploring Operation: 3+6=9, Resulting Numbers: [77, 9] Generated Node #2: [77, 9] from Operation: 3+6=9 Current State: 80:[77, 9], Operations: ['3+6=9'] Exploring Operation: 9/3=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 9/3=3 Current State: 80:[77, 3], Operations: ['3+6=9', '9/3=3'] Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 55, 60, 43 ]
13
[ "55-43=12", "60/12=5", "8+5=13" ]
Current State: 13:[8, 55, 60, 43], Operations: [] Exploring Operation: 55-43=12, Resulting Numbers: [8, 60, 12] Generated Node #2: [8, 60, 12] from Operation: 55-43=12 Current State: 13:[8, 60, 12], Operations: ['55-43=12'] Exploring Operation: 60/12=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 60/12=5 Current State: 13:[8, 5], Operations: ['55-43=12', '60/12=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 26, 83, 74 ]
99
[ "32+26=58", "83+74=157", "157-58=99" ]
Current State: 99:[32, 26, 83, 74], Operations: [] Exploring Operation: 32+26=58, Resulting Numbers: [83, 74, 58] Generated Node #2: [83, 74, 58] from Operation: 32+26=58 Current State: 99:[83, 74, 58], Operations: ['32+26=58'] Exploring Operation: 83+74=157, Resulting Numbers: [58, 157] Generated Node #3: [58, 157] from Operation: 83+74=157 Current State: 99:[58, 157], Operations: ['32+26=58', '83+74=157'] Exploring Operation: 157-58=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 50, 22, 93, 84 ]
75
[ "50*93=4650", "84-22=62", "4650/62=75" ]
Current State: 75:[50, 22, 93, 84], Operations: [] Exploring Operation: 50*93=4650, Resulting Numbers: [22, 84, 4650] Generated Node #2: [22, 84, 4650] from Operation: 50*93=4650 Current State: 75:[22, 84, 4650], Operations: ['50*93=4650'] Exploring Operation: 84-22=62, Resulting Numbers: [4650, 62] Generated Node #3: [4650, 62] from Operation: 84-22=62 Current State: 75:[4650, 62], Operations: ['50*93=4650', '84-22=62'] Exploring Operation: 4650/62=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 53, 77, 2 ]
68
[ "53-35=18", "18/2=9", "77-9=68" ]
Current State: 68:[35, 53, 77, 2], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [77, 2, 18] Generated Node #2: [77, 2, 18] from Operation: 53-35=18 Current State: 68:[77, 2, 18], Operations: ['53-35=18'] Exploring Operation: 18/2=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 18/2=9 Current State: 68:[77, 9], Operations: ['53-35=18', '18/2=9'] Exploring Operation: 77-9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 44, 31, 20 ]
47
[ "44-8=36", "31-20=11", "36+11=47" ]
Current State: 47:[8, 44, 31, 20], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [31, 20, 36] Generated Node #2: [31, 20, 36] from Operation: 44-8=36 Current State: 47:[31, 20, 36], Operations: ['44-8=36'] Exploring Operation: 31-20=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 31-20=11 Current State: 47:[36, 11], Operations: ['44-8=36', '31-20=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 61, 25, 34 ]
19
[ "61-51=10", "34-25=9", "10+9=19" ]
Current State: 19:[51, 61, 25, 34], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [25, 34, 10] Generated Node #2: [25, 34, 10] from Operation: 61-51=10 Current State: 19:[25, 34, 10], Operations: ['61-51=10'] Exploring Operation: 34-25=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 34-25=9 Current State: 19:[10, 9], Operations: ['61-51=10', '34-25=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 56, 46, 19, 3 ]
21
[ "56+19=75", "75/3=25", "46-25=21" ]
Current State: 21:[56, 46, 19, 3], Operations: [] Exploring Operation: 56+19=75, Resulting Numbers: [46, 3, 75] Generated Node #2: [46, 3, 75] from Operation: 56+19=75 Current State: 21:[46, 3, 75], Operations: ['56+19=75'] Exploring Operation: 75/3=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 75/3=25 Current State: 21:[46, 25], Operations: ['56+19=75', '75/3=25'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 42, 97, 69 ]
83
[ "72-69=3", "42/3=14", "97-14=83" ]
Current State: 83:[72, 42, 97, 69], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [42, 97, 3] Generated Node #2: [42, 97, 3] from Operation: 72-69=3 Current State: 83:[42, 97, 3], Operations: ['72-69=3'] Exploring Operation: 42/3=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 42/3=14 Current State: 83:[97, 14], Operations: ['72-69=3', '42/3=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 77, 72, 61, 22 ]
99
[ "77-61=16", "72*22=1584", "1584/16=99" ]
Current State: 99:[77, 72, 61, 22], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [72, 22, 16] Generated Node #2: [72, 22, 16] from Operation: 77-61=16 Current State: 99:[72, 22, 16], Operations: ['77-61=16'] Exploring Operation: 72*22=1584, Resulting Numbers: [16, 1584] Generated Node #3: [16, 1584] from Operation: 72*22=1584 Current State: 99:[16, 1584], Operations: ['77-61=16', '72*22=1584'] Exploring Operation: 1584/16=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 76, 47, 29, 11 ]
44
[ "76+11=87", "87/29=3", "47-3=44" ]
Current State: 44:[76, 47, 29, 11], Operations: [] Exploring Operation: 76+11=87, Resulting Numbers: [47, 29, 87] Generated Node #2: [47, 29, 87] from Operation: 76+11=87 Current State: 44:[47, 29, 87], Operations: ['76+11=87'] Exploring Operation: 87/29=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 87/29=3 Current State: 44:[47, 3], Operations: ['76+11=87', '87/29=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 98, 80, 99, 6 ]
85
[ "98+80=178", "99-6=93", "178-93=85" ]
Current State: 85:[98, 80, 99, 6], Operations: [] Exploring Operation: 98+80=178, Resulting Numbers: [99, 6, 178] Generated Node #2: [99, 6, 178] from Operation: 98+80=178 Current State: 85:[99, 6, 178], Operations: ['98+80=178'] Exploring Operation: 99-6=93, Resulting Numbers: [178, 93] Generated Node #3: [178, 93] from Operation: 99-6=93 Current State: 85:[178, 93], Operations: ['98+80=178', '99-6=93'] Exploring Operation: 178-93=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 97, 39, 8, 27 ]
93
[ "97-39=58", "8+27=35", "58+35=93" ]
Current State: 93:[97, 39, 8, 27], Operations: [] Exploring Operation: 97-39=58, Resulting Numbers: [8, 27, 58] Generated Node #2: [8, 27, 58] from Operation: 97-39=58 Current State: 93:[8, 27, 58], Operations: ['97-39=58'] Exploring Operation: 8+27=35, Resulting Numbers: [58, 35] Generated Node #3: [58, 35] from Operation: 8+27=35 Current State: 93:[58, 35], Operations: ['97-39=58', '8+27=35'] Exploring Operation: 58+35=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 84, 21, 73 ]
57
[ "4*84=336", "336/21=16", "73-16=57" ]
Current State: 57:[4, 84, 21, 73], Operations: [] Exploring Operation: 4*84=336, Resulting Numbers: [21, 73, 336] Generated Node #2: [21, 73, 336] from Operation: 4*84=336 Current State: 57:[21, 73, 336], Operations: ['4*84=336'] Exploring Operation: 336/21=16, Resulting Numbers: [73, 16] Generated Node #3: [73, 16] from Operation: 336/21=16 Current State: 57:[73, 16], Operations: ['4*84=336', '336/21=16'] Exploring Operation: 73-16=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 10, 10, 8, 35 ]
45
[ "10*35=350", "10+350=360", "360/8=45" ]
Current State: 45:[10, 10, 8, 35], Operations: [] Exploring Operation: 10*35=350, Resulting Numbers: [8, 350] Generated Node #2: [8, 350] from Operation: 10*35=350 Current State: 45:[8, 350], Operations: ['10*35=350'] Exploring Operation: 10+350=360, Resulting Numbers: [8, 360] Generated Node #3: [8, 360] from Operation: 10+350=360 Current State: 45:[8, 360], Operations: ['10*35=350', '10+350=360'] Exploring Operation: 360/8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 36, 7, 37 ]
58
[ "36-33=3", "7*3=21", "37+21=58" ]
Current State: 58:[33, 36, 7, 37], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [7, 37, 3] Generated Node #2: [7, 37, 3] from Operation: 36-33=3 Current State: 58:[7, 37, 3], Operations: ['36-33=3'] Exploring Operation: 7*3=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 7*3=21 Current State: 58:[37, 21], Operations: ['36-33=3', '7*3=21'] Exploring Operation: 37+21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 43, 5, 13, 5 ]
43
[ "5-5=0", "13*0=0", "43+0=43" ]
Current State: 43:[43, 5, 13, 5], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [43, 13, 0] Generated Node #2: [43, 13, 0] from Operation: 5-5=0 Current State: 43:[43, 13, 0], Operations: ['5-5=0'] Exploring Operation: 13*0=0, Resulting Numbers: [43, 0] Generated Node #3: [43, 0] from Operation: 13*0=0 Current State: 43:[43, 0], Operations: ['5-5=0', '13*0=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 69, 23, 43 ]
11
[ "43-35=8", "69/23=3", "8+3=11" ]
Current State: 11:[35, 69, 23, 43], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [69, 23, 8] Generated Node #2: [69, 23, 8] from Operation: 43-35=8 Current State: 11:[69, 23, 8], Operations: ['43-35=8'] Exploring Operation: 69/23=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 69/23=3 Current State: 11:[8, 3], Operations: ['43-35=8', '69/23=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 19, 18, 5 ]
29
[ "18/9=2", "5*2=10", "19+10=29" ]
Current State: 29:[9, 19, 18, 5], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [19, 5, 2] Generated Node #2: [19, 5, 2] from Operation: 18/9=2 Current State: 29:[19, 5, 2], Operations: ['18/9=2'] Exploring Operation: 5*2=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 5*2=10 Current State: 29:[19, 10], Operations: ['18/9=2', '5*2=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 15, 40, 24 ]
63
[ "15-14=1", "40+24=64", "64-1=63" ]
Current State: 63:[14, 15, 40, 24], Operations: [] Exploring Operation: 15-14=1, Resulting Numbers: [40, 24, 1] Generated Node #2: [40, 24, 1] from Operation: 15-14=1 Current State: 63:[40, 24, 1], Operations: ['15-14=1'] Exploring Operation: 40+24=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operation: 40+24=64 Current State: 63:[1, 64], Operations: ['15-14=1', '40+24=64'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 37, 15, 2 ]
41
[ "15-2=13", "6*13=78", "78-37=41" ]
Current State: 41:[6, 37, 15, 2], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [6, 37, 13] Generated Node #2: [6, 37, 13] from Operation: 15-2=13 Current State: 41:[6, 37, 13], Operations: ['15-2=13'] Exploring Operation: 6*13=78, Resulting Numbers: [37, 78] Generated Node #3: [37, 78] from Operation: 6*13=78 Current State: 41:[37, 78], Operations: ['15-2=13', '6*13=78'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 77, 73, 11, 81 ]
22
[ "77/11=7", "73+81=154", "154/7=22" ]
Current State: 22:[77, 73, 11, 81], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [73, 81, 7] Generated Node #2: [73, 81, 7] from Operation: 77/11=7 Current State: 22:[73, 81, 7], Operations: ['77/11=7'] Exploring Operation: 73+81=154, Resulting Numbers: [7, 154] Generated Node #3: [7, 154] from Operation: 73+81=154 Current State: 22:[7, 154], Operations: ['77/11=7', '73+81=154'] Exploring Operation: 154/7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 70, 39, 34, 91 ]
52
[ "70+39=109", "91-34=57", "109-57=52" ]
Current State: 52:[70, 39, 34, 91], Operations: [] Exploring Operation: 70+39=109, Resulting Numbers: [34, 91, 109] Generated Node #2: [34, 91, 109] from Operation: 70+39=109 Current State: 52:[34, 91, 109], Operations: ['70+39=109'] Exploring Operation: 91-34=57, Resulting Numbers: [109, 57] Generated Node #3: [109, 57] from Operation: 91-34=57 Current State: 52:[109, 57], Operations: ['70+39=109', '91-34=57'] Exploring Operation: 109-57=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 4, 40, 76 ]
41
[ "9-4=5", "76-40=36", "5+36=41" ]
Current State: 41:[9, 4, 40, 76], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [40, 76, 5] Generated Node #2: [40, 76, 5] from Operation: 9-4=5 Current State: 41:[40, 76, 5], Operations: ['9-4=5'] Exploring Operation: 76-40=36, Resulting Numbers: [5, 36] Generated Node #3: [5, 36] from Operation: 76-40=36 Current State: 41:[5, 36], Operations: ['9-4=5', '76-40=36'] Exploring Operation: 5+36=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 65, 63, 52 ]
93
[ "65-63=2", "52*2=104", "104-11=93" ]
Current State: 93:[11, 65, 63, 52], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [11, 52, 2] Generated Node #2: [11, 52, 2] from Operation: 65-63=2 Current State: 93:[11, 52, 2], Operations: ['65-63=2'] Exploring Operation: 52*2=104, Resulting Numbers: [11, 104] Generated Node #3: [11, 104] from Operation: 52*2=104 Current State: 93:[11, 104], Operations: ['65-63=2', '52*2=104'] Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 26, 59, 62, 53 ]
76
[ "26+59=85", "62-53=9", "85-9=76" ]
Current State: 76:[26, 59, 62, 53], Operations: [] Exploring Operation: 26+59=85, Resulting Numbers: [62, 53, 85] Generated Node #2: [62, 53, 85] from Operation: 26+59=85 Current State: 76:[62, 53, 85], Operations: ['26+59=85'] Exploring Operation: 62-53=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 62-53=9 Current State: 76:[85, 9], Operations: ['26+59=85', '62-53=9'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 96, 17, 24, 92 ]
24
[ "96*17=1632", "92-24=68", "1632/68=24" ]
Current State: 24:[96, 17, 24, 92], Operations: [] Exploring Operation: 96*17=1632, Resulting Numbers: [24, 92, 1632] Generated Node #2: [24, 92, 1632] from Operation: 96*17=1632 Current State: 24:[24, 92, 1632], Operations: ['96*17=1632'] Exploring Operation: 92-24=68, Resulting Numbers: [1632, 68] Generated Node #3: [1632, 68] from Operation: 92-24=68 Current State: 24:[1632, 68], Operations: ['96*17=1632', '92-24=68'] Exploring Operation: 1632/68=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 81, 2, 7 ]
82
[ "97+81=178", "178/2=89", "89-7=82" ]
Current State: 82:[97, 81, 2, 7], Operations: [] Exploring Operation: 97+81=178, Resulting Numbers: [2, 7, 178] Generated Node #2: [2, 7, 178] from Operation: 97+81=178 Current State: 82:[2, 7, 178], Operations: ['97+81=178'] Exploring Operation: 178/2=89, Resulting Numbers: [7, 89] Generated Node #3: [7, 89] from Operation: 178/2=89 Current State: 82:[7, 89], Operations: ['97+81=178', '178/2=89'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 3, 16, 56 ]
23
[ "60+3=63", "56-16=40", "63-40=23" ]
Current State: 23:[60, 3, 16, 56], Operations: [] Exploring Operation: 60+3=63, Resulting Numbers: [16, 56, 63] Generated Node #2: [16, 56, 63] from Operation: 60+3=63 Current State: 23:[16, 56, 63], Operations: ['60+3=63'] Exploring Operation: 56-16=40, Resulting Numbers: [63, 40] Generated Node #3: [63, 40] from Operation: 56-16=40 Current State: 23:[63, 40], Operations: ['60+3=63', '56-16=40'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 35, 14, 15, 87 ]
53
[ "35+14=49", "15+87=102", "102-49=53" ]
Current State: 53:[35, 14, 15, 87], Operations: [] Exploring Operation: 35+14=49, Resulting Numbers: [15, 87, 49] Generated Node #2: [15, 87, 49] from Operation: 35+14=49 Current State: 53:[15, 87, 49], Operations: ['35+14=49'] Exploring Operation: 15+87=102, Resulting Numbers: [49, 102] Generated Node #3: [49, 102] from Operation: 15+87=102 Current State: 53:[49, 102], Operations: ['35+14=49', '15+87=102'] Exploring Operation: 102-49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 13, 28, 31, 44 ]
27
[ "13+31=44", "44/44=1", "28-1=27" ]
Current State: 27:[13, 28, 31, 44], Operations: [] Exploring Operation: 13+31=44, Resulting Numbers: [28, 44, 44] Generated Node #2: [28, 44, 44] from Operation: 13+31=44 Current State: 27:[28, 44, 44], Operations: ['13+31=44'] Exploring Operation: 44/44=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 44/44=1 Current State: 27:[28, 1], Operations: ['13+31=44', '44/44=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 29, 87, 21 ]
77
[ "2+29=31", "87+21=108", "108-31=77" ]
Current State: 77:[2, 29, 87, 21], Operations: [] Exploring Operation: 2+29=31, Resulting Numbers: [87, 21, 31] Generated Node #2: [87, 21, 31] from Operation: 2+29=31 Current State: 77:[87, 21, 31], Operations: ['2+29=31'] Exploring Operation: 87+21=108, Resulting Numbers: [31, 108] Generated Node #3: [31, 108] from Operation: 87+21=108 Current State: 77:[31, 108], Operations: ['2+29=31', '87+21=108'] Exploring Operation: 108-31=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 12, 70, 75 ]
25
[ "60/12=5", "75-70=5", "5*5=25" ]
Current State: 25:[60, 12, 70, 75], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [70, 75, 5] Generated Node #2: [70, 75, 5] from Operation: 60/12=5 Current State: 25:[70, 75, 5], Operations: ['60/12=5'] Exploring Operation: 75-70=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 75-70=5 Current State: 25:[5, 5], Operations: ['60/12=5', '75-70=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 68, 5, 79 ]
66
[ "5+79=84", "84/42=2", "68-2=66" ]
Current State: 66:[42, 68, 5, 79], Operations: [] Exploring Operation: 5+79=84, Resulting Numbers: [42, 68, 84] Generated Node #2: [42, 68, 84] from Operation: 5+79=84 Current State: 66:[42, 68, 84], Operations: ['5+79=84'] Exploring Operation: 84/42=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 84/42=2 Current State: 66:[68, 2], Operations: ['5+79=84', '84/42=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 39, 49, 64, 60 ]
22
[ "39+49=88", "64-60=4", "88/4=22" ]
Current State: 22:[39, 49, 64, 60], Operations: [] Exploring Operation: 39+49=88, Resulting Numbers: [64, 60, 88] Generated Node #2: [64, 60, 88] from Operation: 39+49=88 Current State: 22:[64, 60, 88], Operations: ['39+49=88'] Exploring Operation: 64-60=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 64-60=4 Current State: 22:[88, 4], Operations: ['39+49=88', '64-60=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 85, 5, 13, 53 ]
33
[ "85-53=32", "5*13=65", "65-32=33" ]
Current State: 33:[85, 5, 13, 53], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [5, 13, 32] Generated Node #2: [5, 13, 32] from Operation: 85-53=32 Current State: 33:[5, 13, 32], Operations: ['85-53=32'] Exploring Operation: 5*13=65, Resulting Numbers: [32, 65] Generated Node #3: [32, 65] from Operation: 5*13=65 Current State: 33:[32, 65], Operations: ['85-53=32', '5*13=65'] Exploring Operation: 65-32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 40, 61, 29, 23 ]
31
[ "61-40=21", "29+23=52", "52-21=31" ]
Current State: 31:[40, 61, 29, 23], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [29, 23, 21] Generated Node #2: [29, 23, 21] from Operation: 61-40=21 Current State: 31:[29, 23, 21], Operations: ['61-40=21'] Exploring Operation: 29+23=52, Resulting Numbers: [21, 52] Generated Node #3: [21, 52] from Operation: 29+23=52 Current State: 31:[21, 52], Operations: ['61-40=21', '29+23=52'] Exploring Operation: 52-21=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 28, 2, 53, 43 ]
23
[ "43-28=15", "2*15=30", "53-30=23" ]
Current State: 23:[28, 2, 53, 43], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [2, 53, 15] Generated Node #2: [2, 53, 15] from Operation: 43-28=15 Current State: 23:[2, 53, 15], Operations: ['43-28=15'] Exploring Operation: 2*15=30, Resulting Numbers: [53, 30] Generated Node #3: [53, 30] from Operation: 2*15=30 Current State: 23:[53, 30], Operations: ['43-28=15', '2*15=30'] Exploring Operation: 53-30=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 61, 38, 56, 2 ]
14
[ "61-56=5", "38/2=19", "19-5=14" ]
Current State: 14:[61, 38, 56, 2], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [38, 2, 5] Generated Node #2: [38, 2, 5] from Operation: 61-56=5 Current State: 14:[38, 2, 5], Operations: ['61-56=5'] Exploring Operation: 38/2=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 38/2=19 Current State: 14:[5, 19], Operations: ['61-56=5', '38/2=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 27, 59, 59 ]
25
[ "27-2=25", "59-59=0", "25+0=25" ]
Current State: 25:[2, 27, 59, 59], Operations: [] Exploring Operation: 27-2=25, Resulting Numbers: [59, 59, 25] Generated Node #2: [59, 59, 25] from Operation: 27-2=25 Current State: 25:[59, 59, 25], Operations: ['27-2=25'] Exploring Operation: 59-59=0, Resulting Numbers: [25, 0] Generated Node #3: [25, 0] from Operation: 59-59=0 Current State: 25:[25, 0], Operations: ['27-2=25', '59-59=0'] Exploring Operation: 25+0=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 13, 31, 7 ]
48
[ "85-13=72", "31-7=24", "72-24=48" ]
Current State: 48:[85, 13, 31, 7], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [31, 7, 72] Generated Node #2: [31, 7, 72] from Operation: 85-13=72 Current State: 48:[31, 7, 72], Operations: ['85-13=72'] Exploring Operation: 31-7=24, Resulting Numbers: [72, 24] Generated Node #3: [72, 24] from Operation: 31-7=24 Current State: 48:[72, 24], Operations: ['85-13=72', '31-7=24'] Exploring Operation: 72-24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 28, 14, 69 ]
41
[ "4*14=56", "28+69=97", "97-56=41" ]
Current State: 41:[4, 28, 14, 69], Operations: [] Exploring Operation: 4*14=56, Resulting Numbers: [28, 69, 56] Generated Node #2: [28, 69, 56] from Operation: 4*14=56 Current State: 41:[28, 69, 56], Operations: ['4*14=56'] Exploring Operation: 28+69=97, Resulting Numbers: [56, 97] Generated Node #3: [56, 97] from Operation: 28+69=97 Current State: 41:[56, 97], Operations: ['4*14=56', '28+69=97'] Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 68, 1, 44, 26 ]
85
[ "68-1=67", "44-26=18", "67+18=85" ]
Current State: 85:[68, 1, 44, 26], Operations: [] Exploring Operation: 68-1=67, Resulting Numbers: [44, 26, 67] Generated Node #2: [44, 26, 67] from Operation: 68-1=67 Current State: 85:[44, 26, 67], Operations: ['68-1=67'] Exploring Operation: 44-26=18, Resulting Numbers: [67, 18] Generated Node #3: [67, 18] from Operation: 44-26=18 Current State: 85:[67, 18], Operations: ['68-1=67', '44-26=18'] Exploring Operation: 67+18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 65, 60, 6, 35 ]
20
[ "65-35=30", "60/6=10", "30-10=20" ]
Current State: 20:[65, 60, 6, 35], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [60, 6, 30] Generated Node #2: [60, 6, 30] from Operation: 65-35=30 Current State: 20:[60, 6, 30], Operations: ['65-35=30'] Exploring Operation: 60/6=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 60/6=10 Current State: 20:[30, 10], Operations: ['65-35=30', '60/6=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 79, 14, 84 ]
68
[ "79-77=2", "84-14=70", "70-2=68" ]
Current State: 68:[77, 79, 14, 84], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [14, 84, 2] Generated Node #2: [14, 84, 2] from Operation: 79-77=2 Current State: 68:[14, 84, 2], Operations: ['79-77=2'] Exploring Operation: 84-14=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 84-14=70 Current State: 68:[2, 70], Operations: ['79-77=2', '84-14=70'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 49, 39, 61, 46 ]
19
[ "49+39=88", "61+46=107", "107-88=19" ]
Current State: 19:[49, 39, 61, 46], Operations: [] Exploring Operation: 49+39=88, Resulting Numbers: [61, 46, 88] Generated Node #2: [61, 46, 88] from Operation: 49+39=88 Current State: 19:[61, 46, 88], Operations: ['49+39=88'] Exploring Operation: 61+46=107, Resulting Numbers: [88, 107] Generated Node #3: [88, 107] from Operation: 61+46=107 Current State: 19:[88, 107], Operations: ['49+39=88', '61+46=107'] Exploring Operation: 107-88=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 60, 95, 83 ]
30
[ "88+60=148", "95+83=178", "178-148=30" ]
Current State: 30:[88, 60, 95, 83], Operations: [] Exploring Operation: 88+60=148, Resulting Numbers: [95, 83, 148] Generated Node #2: [95, 83, 148] from Operation: 88+60=148 Current State: 30:[95, 83, 148], Operations: ['88+60=148'] Exploring Operation: 95+83=178, Resulting Numbers: [148, 178] Generated Node #3: [148, 178] from Operation: 95+83=178 Current State: 30:[148, 178], Operations: ['88+60=148', '95+83=178'] Exploring Operation: 178-148=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 88, 17, 39 ]
11
[ "88/8=11", "39-17=22", "22-11=11" ]
Current State: 11:[8, 88, 17, 39], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [17, 39, 11] Generated Node #2: [17, 39, 11] from Operation: 88/8=11 Current State: 11:[17, 39, 11], Operations: ['88/8=11'] Exploring Operation: 39-17=22, Resulting Numbers: [11, 22] Generated Node #3: [11, 22] from Operation: 39-17=22 Current State: 11:[11, 22], Operations: ['88/8=11', '39-17=22'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 8, 15, 35 ]
45
[ "33-8=25", "35-15=20", "25+20=45" ]
Current State: 45:[33, 8, 15, 35], Operations: [] Exploring Operation: 33-8=25, Resulting Numbers: [15, 35, 25] Generated Node #2: [15, 35, 25] from Operation: 33-8=25 Current State: 45:[15, 35, 25], Operations: ['33-8=25'] Exploring Operation: 35-15=20, Resulting Numbers: [25, 20] Generated Node #3: [25, 20] from Operation: 35-15=20 Current State: 45:[25, 20], Operations: ['33-8=25', '35-15=20'] Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 45, 13, 32 ]
19
[ "45*13=585", "23+585=608", "608/32=19" ]
Current State: 19:[23, 45, 13, 32], Operations: [] Exploring Operation: 45*13=585, Resulting Numbers: [23, 32, 585] Generated Node #2: [23, 32, 585] from Operation: 45*13=585 Current State: 19:[23, 32, 585], Operations: ['45*13=585'] Exploring Operation: 23+585=608, Resulting Numbers: [32, 608] Generated Node #3: [32, 608] from Operation: 23+585=608 Current State: 19:[32, 608], Operations: ['45*13=585', '23+585=608'] Exploring Operation: 608/32=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 24, 89, 52, 93 ]
72
[ "24+89=113", "93-52=41", "113-41=72" ]
Current State: 72:[24, 89, 52, 93], Operations: [] Exploring Operation: 24+89=113, Resulting Numbers: [52, 93, 113] Generated Node #2: [52, 93, 113] from Operation: 24+89=113 Current State: 72:[52, 93, 113], Operations: ['24+89=113'] Exploring Operation: 93-52=41, Resulting Numbers: [113, 41] Generated Node #3: [113, 41] from Operation: 93-52=41 Current State: 72:[113, 41], Operations: ['24+89=113', '93-52=41'] Exploring Operation: 113-41=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 94, 26, 90 ]
71
[ "93+94=187", "26+90=116", "187-116=71" ]
Current State: 71:[93, 94, 26, 90], Operations: [] Exploring Operation: 93+94=187, Resulting Numbers: [26, 90, 187] Generated Node #2: [26, 90, 187] from Operation: 93+94=187 Current State: 71:[26, 90, 187], Operations: ['93+94=187'] Exploring Operation: 26+90=116, Resulting Numbers: [187, 116] Generated Node #3: [187, 116] from Operation: 26+90=116 Current State: 71:[187, 116], Operations: ['93+94=187', '26+90=116'] Exploring Operation: 187-116=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 94, 2, 46 ]
20
[ "94-42=52", "52/2=26", "46-26=20" ]
Current State: 20:[42, 94, 2, 46], Operations: [] Exploring Operation: 94-42=52, Resulting Numbers: [2, 46, 52] Generated Node #2: [2, 46, 52] from Operation: 94-42=52 Current State: 20:[2, 46, 52], Operations: ['94-42=52'] Exploring Operation: 52/2=26, Resulting Numbers: [46, 26] Generated Node #3: [46, 26] from Operation: 52/2=26 Current State: 20:[46, 26], Operations: ['94-42=52', '52/2=26'] Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 36, 72, 90 ]
48
[ "90-44=46", "72/36=2", "46+2=48" ]
Current State: 48:[44, 36, 72, 90], Operations: [] Exploring Operation: 90-44=46, Resulting Numbers: [36, 72, 46] Generated Node #2: [36, 72, 46] from Operation: 90-44=46 Current State: 48:[36, 72, 46], Operations: ['90-44=46'] Exploring Operation: 72/36=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 72/36=2 Current State: 48:[46, 2], Operations: ['90-44=46', '72/36=2'] Exploring Operation: 46+2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 29, 36, 16, 78 ]
55
[ "36-29=7", "78-16=62", "62-7=55" ]
Current State: 55:[29, 36, 16, 78], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [16, 78, 7] Generated Node #2: [16, 78, 7] from Operation: 36-29=7 Current State: 55:[16, 78, 7], Operations: ['36-29=7'] Exploring Operation: 78-16=62, Resulting Numbers: [7, 62] Generated Node #3: [7, 62] from Operation: 78-16=62 Current State: 55:[7, 62], Operations: ['36-29=7', '78-16=62'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 8, 10, 62, 70 ]
61
[ "62-8=54", "70/10=7", "54+7=61" ]
Current State: 61:[8, 10, 62, 70], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [10, 70, 54] Generated Node #2: [10, 70, 54] from Operation: 62-8=54 Current State: 61:[10, 70, 54], Operations: ['62-8=54'] Exploring Operation: 70/10=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 70/10=7 Current State: 61:[54, 7], Operations: ['62-8=54', '70/10=7'] Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 25, 3, 29, 13 ]
85
[ "25+13=38", "3*38=114", "114-29=85" ]
Current State: 85:[25, 3, 29, 13], Operations: [] Exploring Operation: 25+13=38, Resulting Numbers: [3, 29, 38] Generated Node #2: [3, 29, 38] from Operation: 25+13=38 Current State: 85:[3, 29, 38], Operations: ['25+13=38'] Exploring Operation: 3*38=114, Resulting Numbers: [29, 114] Generated Node #3: [29, 114] from Operation: 3*38=114 Current State: 85:[29, 114], Operations: ['25+13=38', '3*38=114'] Exploring Operation: 114-29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 38, 25, 14 ]
26
[ "38-25=13", "14-13=1", "26*1=26" ]
Current State: 26:[26, 38, 25, 14], Operations: [] Exploring Operation: 38-25=13, Resulting Numbers: [26, 14, 13] Generated Node #2: [26, 14, 13] from Operation: 38-25=13 Current State: 26:[26, 14, 13], Operations: ['38-25=13'] Exploring Operation: 14-13=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 14-13=1 Current State: 26:[26, 1], Operations: ['38-25=13', '14-13=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 6, 68, 83 ]
68
[ "90-6=84", "84-83=1", "68*1=68" ]
Current State: 68:[90, 6, 68, 83], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [68, 83, 84] Generated Node #2: [68, 83, 84] from Operation: 90-6=84 Current State: 68:[68, 83, 84], Operations: ['90-6=84'] Exploring Operation: 84-83=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 84-83=1 Current State: 68:[68, 1], Operations: ['90-6=84', '84-83=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 12, 79, 21 ]
83
[ "7*12=84", "84/21=4", "79+4=83" ]
Current State: 83:[7, 12, 79, 21], Operations: [] Exploring Operation: 7*12=84, Resulting Numbers: [79, 21, 84] Generated Node #2: [79, 21, 84] from Operation: 7*12=84 Current State: 83:[79, 21, 84], Operations: ['7*12=84'] Exploring Operation: 84/21=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 84/21=4 Current State: 83:[79, 4], Operations: ['7*12=84', '84/21=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 42, 1, 72 ]
64
[ "50-42=8", "1*72=72", "72-8=64" ]
Current State: 64:[50, 42, 1, 72], Operations: [] Exploring Operation: 50-42=8, Resulting Numbers: [1, 72, 8] Generated Node #2: [1, 72, 8] from Operation: 50-42=8 Current State: 64:[1, 72, 8], Operations: ['50-42=8'] Exploring Operation: 1*72=72, Resulting Numbers: [8, 72] Generated Node #3: [8, 72] from Operation: 1*72=72 Current State: 64:[8, 72], Operations: ['50-42=8', '1*72=72'] Exploring Operation: 72-8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 52, 16, 2 ]
65
[ "31+52=83", "16+2=18", "83-18=65" ]
Current State: 65:[31, 52, 16, 2], Operations: [] Exploring Operation: 31+52=83, Resulting Numbers: [16, 2, 83] Generated Node #2: [16, 2, 83] from Operation: 31+52=83 Current State: 65:[16, 2, 83], Operations: ['31+52=83'] Exploring Operation: 16+2=18, Resulting Numbers: [83, 18] Generated Node #3: [83, 18] from Operation: 16+2=18 Current State: 65:[83, 18], Operations: ['31+52=83', '16+2=18'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 69, 30, 86, 1 ]
47
[ "69-30=39", "86*1=86", "86-39=47" ]
Current State: 47:[69, 30, 86, 1], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [86, 1, 39] Generated Node #2: [86, 1, 39] from Operation: 69-30=39 Current State: 47:[86, 1, 39], Operations: ['69-30=39'] Exploring Operation: 86*1=86, Resulting Numbers: [39, 86] Generated Node #3: [39, 86] from Operation: 86*1=86 Current State: 47:[39, 86], Operations: ['69-30=39', '86*1=86'] Exploring Operation: 86-39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 97, 38, 7 ]
13
[ "46-38=8", "97+7=104", "104/8=13" ]
Current State: 13:[46, 97, 38, 7], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [97, 7, 8] Generated Node #2: [97, 7, 8] from Operation: 46-38=8 Current State: 13:[97, 7, 8], Operations: ['46-38=8'] Exploring Operation: 97+7=104, Resulting Numbers: [8, 104] Generated Node #3: [8, 104] from Operation: 97+7=104 Current State: 13:[8, 104], Operations: ['46-38=8', '97+7=104'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 87, 87, 50 ]
36
[ "14+87=101", "87+50=137", "137-101=36" ]
Current State: 36:[14, 87, 87, 50], Operations: [] Exploring Operation: 14+87=101, Resulting Numbers: [50, 101] Generated Node #2: [50, 101] from Operation: 14+87=101 Current State: 36:[50, 101], Operations: ['14+87=101'] Exploring Operation: 87+50=137, Resulting Numbers: [101, 137] Generated Node #3: [101, 137] from Operation: 87+50=137 Current State: 36:[101, 137], Operations: ['14+87=101', '87+50=137'] Exploring Operation: 137-101=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4