Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 6, 24, 9, 36 ]
16
[ "24/6=4", "36/9=4", "4*4=16" ]
Current State: 16:[6, 24, 9, 36], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [9, 36, 4] Generated Node #2: [9, 36, 4] from Operation: 24/6=4 Current State: 16:[9, 36, 4], Operations: ['24/6=4'] Exploring Operation: 36/9=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 36/9=4 Current State: 16:[4, 4], Operations: ['24/6=4', '36/9=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 21, 26, 1, 12 ]
58
[ "21+26=47", "12-1=11", "47+11=58" ]
Current State: 58:[21, 26, 1, 12], Operations: [] Exploring Operation: 21+26=47, Resulting Numbers: [1, 12, 47] Generated Node #2: [1, 12, 47] from Operation: 21+26=47 Current State: 58:[1, 12, 47], Operations: ['21+26=47'] Exploring Operation: 12-1=11, Resulting Numbers: [47, 11] Generated Node #3: [47, 11] from Operation: 12-1=11 Current State: 58:[47, 11], Operations: ['21+26=47', '12-1=11'] Exploring Operation: 47+11=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 99, 2, 75, 96 ]
48
[ "99-75=24", "2*24=48", "96-48=48" ]
Current State: 48:[99, 2, 75, 96], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [2, 96, 24] Generated Node #2: [2, 96, 24] from Operation: 99-75=24 Current State: 48:[2, 96, 24], Operations: ['99-75=24'] Exploring Operation: 2*24=48, Resulting Numbers: [96, 48] Generated Node #3: [96, 48] from Operation: 2*24=48 Current State: 48:[96, 48], Operations: ['99-75=24', '2*24=48'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 19, 19, 35 ]
39
[ "4+19=23", "35-19=16", "23+16=39" ]
Current State: 39:[4, 19, 19, 35], Operations: [] Exploring Operation: 4+19=23, Resulting Numbers: [35, 23] Generated Node #2: [35, 23] from Operation: 4+19=23 Current State: 39:[35, 23], Operations: ['4+19=23'] Exploring Operation: 35-19=16, Resulting Numbers: [23, 16] Generated Node #3: [23, 16] from Operation: 35-19=16 Current State: 39:[23, 16], Operations: ['4+19=23', '35-19=16'] Exploring Operation: 23+16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 7, 40, 82 ]
54
[ "40-36=4", "7*4=28", "82-28=54" ]
Current State: 54:[36, 7, 40, 82], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [7, 82, 4] Generated Node #2: [7, 82, 4] from Operation: 40-36=4 Current State: 54:[7, 82, 4], Operations: ['40-36=4'] Exploring Operation: 7*4=28, Resulting Numbers: [82, 28] Generated Node #3: [82, 28] from Operation: 7*4=28 Current State: 54:[82, 28], Operations: ['40-36=4', '7*4=28'] Exploring Operation: 82-28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 99, 10, 5, 91 ]
28
[ "99+91=190", "190/5=38", "38-10=28" ]
Current State: 28:[99, 10, 5, 91], Operations: [] Exploring Operation: 99+91=190, Resulting Numbers: [10, 5, 190] Generated Node #2: [10, 5, 190] from Operation: 99+91=190 Current State: 28:[10, 5, 190], Operations: ['99+91=190'] Exploring Operation: 190/5=38, Resulting Numbers: [10, 38] Generated Node #3: [10, 38] from Operation: 190/5=38 Current State: 28:[10, 38], Operations: ['99+91=190', '190/5=38'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 44, 9, 89, 66 ]
83
[ "44*9=396", "396/66=6", "89-6=83" ]
Current State: 83:[44, 9, 89, 66], Operations: [] Exploring Operation: 44*9=396, Resulting Numbers: [89, 66, 396] Generated Node #2: [89, 66, 396] from Operation: 44*9=396 Current State: 83:[89, 66, 396], Operations: ['44*9=396'] Exploring Operation: 396/66=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 396/66=6 Current State: 83:[89, 6], Operations: ['44*9=396', '396/66=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 64, 49, 14 ]
18
[ "98/49=2", "64/2=32", "32-14=18" ]
Current State: 18:[98, 64, 49, 14], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [64, 14, 2] Generated Node #2: [64, 14, 2] from Operation: 98/49=2 Current State: 18:[64, 14, 2], Operations: ['98/49=2'] Exploring Operation: 64/2=32, Resulting Numbers: [14, 32] Generated Node #3: [14, 32] from Operation: 64/2=32 Current State: 18:[14, 32], Operations: ['98/49=2', '64/2=32'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 12, 5, 46 ]
11
[ "12-5=7", "5*7=35", "46-35=11" ]
Current State: 11:[5, 12, 5, 46], Operations: [] Exploring Operation: 12-5=7, Resulting Numbers: [46, 7] Generated Node #2: [46, 7] from Operation: 12-5=7 Current State: 11:[46, 7], Operations: ['12-5=7'] Exploring Operation: 5*7=35, Resulting Numbers: [46, 35] Generated Node #3: [46, 35] from Operation: 5*7=35 Current State: 11:[46, 35], Operations: ['12-5=7', '5*7=35'] Exploring Operation: 46-35=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 70, 10, 8, 98 ]
83
[ "70/10=7", "98-8=90", "90-7=83" ]
Current State: 83:[70, 10, 8, 98], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [8, 98, 7] Generated Node #2: [8, 98, 7] from Operation: 70/10=7 Current State: 83:[8, 98, 7], Operations: ['70/10=7'] Exploring Operation: 98-8=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 98-8=90 Current State: 83:[7, 90], Operations: ['70/10=7', '98-8=90'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 36, 68, 26 ]
80
[ "86+36=122", "68-26=42", "122-42=80" ]
Current State: 80:[86, 36, 68, 26], Operations: [] Exploring Operation: 86+36=122, Resulting Numbers: [68, 26, 122] Generated Node #2: [68, 26, 122] from Operation: 86+36=122 Current State: 80:[68, 26, 122], Operations: ['86+36=122'] Exploring Operation: 68-26=42, Resulting Numbers: [122, 42] Generated Node #3: [122, 42] from Operation: 68-26=42 Current State: 80:[122, 42], Operations: ['86+36=122', '68-26=42'] Exploring Operation: 122-42=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 96, 8, 15 ]
47
[ "44+15=59", "96/8=12", "59-12=47" ]
Current State: 47:[44, 96, 8, 15], Operations: [] Exploring Operation: 44+15=59, Resulting Numbers: [96, 8, 59] Generated Node #2: [96, 8, 59] from Operation: 44+15=59 Current State: 47:[96, 8, 59], Operations: ['44+15=59'] Exploring Operation: 96/8=12, Resulting Numbers: [59, 12] Generated Node #3: [59, 12] from Operation: 96/8=12 Current State: 47:[59, 12], Operations: ['44+15=59', '96/8=12'] Exploring Operation: 59-12=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 55, 51, 2, 88 ]
44
[ "55-51=4", "2*88=176", "176/4=44" ]
Current State: 44:[55, 51, 2, 88], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [2, 88, 4] Generated Node #2: [2, 88, 4] from Operation: 55-51=4 Current State: 44:[2, 88, 4], Operations: ['55-51=4'] Exploring Operation: 2*88=176, Resulting Numbers: [4, 176] Generated Node #3: [4, 176] from Operation: 2*88=176 Current State: 44:[4, 176], Operations: ['55-51=4', '2*88=176'] Exploring Operation: 176/4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 82, 15, 2 ]
64
[ "61+82=143", "143-15=128", "128/2=64" ]
Current State: 64:[61, 82, 15, 2], Operations: [] Exploring Operation: 61+82=143, Resulting Numbers: [15, 2, 143] Generated Node #2: [15, 2, 143] from Operation: 61+82=143 Current State: 64:[15, 2, 143], Operations: ['61+82=143'] Exploring Operation: 143-15=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 143-15=128 Current State: 64:[2, 128], Operations: ['61+82=143', '143-15=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 9, 16, 39, 35 ]
67
[ "16-9=7", "39+35=74", "74-7=67" ]
Current State: 67:[9, 16, 39, 35], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [39, 35, 7] Generated Node #2: [39, 35, 7] from Operation: 16-9=7 Current State: 67:[39, 35, 7], Operations: ['16-9=7'] Exploring Operation: 39+35=74, Resulting Numbers: [7, 74] Generated Node #3: [7, 74] from Operation: 39+35=74 Current State: 67:[7, 74], Operations: ['16-9=7', '39+35=74'] Exploring Operation: 74-7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 13, 85, 58 ]
82
[ "97-58=39", "39/13=3", "85-3=82" ]
Current State: 82:[97, 13, 85, 58], Operations: [] Exploring Operation: 97-58=39, Resulting Numbers: [13, 85, 39] Generated Node #2: [13, 85, 39] from Operation: 97-58=39 Current State: 82:[13, 85, 39], Operations: ['97-58=39'] Exploring Operation: 39/13=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 39/13=3 Current State: 82:[85, 3], Operations: ['97-58=39', '39/13=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 66, 22, 60 ]
82
[ "60/10=6", "66+22=88", "88-6=82" ]
Current State: 82:[10, 66, 22, 60], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [66, 22, 6] Generated Node #2: [66, 22, 6] from Operation: 60/10=6 Current State: 82:[66, 22, 6], Operations: ['60/10=6'] Exploring Operation: 66+22=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 66+22=88 Current State: 82:[6, 88], Operations: ['60/10=6', '66+22=88'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 32, 36, 94 ]
81
[ "32-9=23", "94-36=58", "23+58=81" ]
Current State: 81:[9, 32, 36, 94], Operations: [] Exploring Operation: 32-9=23, Resulting Numbers: [36, 94, 23] Generated Node #2: [36, 94, 23] from Operation: 32-9=23 Current State: 81:[36, 94, 23], Operations: ['32-9=23'] Exploring Operation: 94-36=58, Resulting Numbers: [23, 58] Generated Node #3: [23, 58] from Operation: 94-36=58 Current State: 81:[23, 58], Operations: ['32-9=23', '94-36=58'] Exploring Operation: 23+58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 38, 96, 68, 37 ]
89
[ "96-38=58", "68-37=31", "58+31=89" ]
Current State: 89:[38, 96, 68, 37], Operations: [] Exploring Operation: 96-38=58, Resulting Numbers: [68, 37, 58] Generated Node #2: [68, 37, 58] from Operation: 96-38=58 Current State: 89:[68, 37, 58], Operations: ['96-38=58'] Exploring Operation: 68-37=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 68-37=31 Current State: 89:[58, 31], Operations: ['96-38=58', '68-37=31'] Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 62, 53, 60 ]
38
[ "72-53=19", "62-60=2", "19*2=38" ]
Current State: 38:[72, 62, 53, 60], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [62, 60, 19] Generated Node #2: [62, 60, 19] from Operation: 72-53=19 Current State: 38:[62, 60, 19], Operations: ['72-53=19'] Exploring Operation: 62-60=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 62-60=2 Current State: 38:[19, 2], Operations: ['72-53=19', '62-60=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 96, 1, 23, 47 ]
48
[ "96*23=2208", "47-1=46", "2208/46=48" ]
Current State: 48:[96, 1, 23, 47], Operations: [] Exploring Operation: 96*23=2208, Resulting Numbers: [1, 47, 2208] Generated Node #2: [1, 47, 2208] from Operation: 96*23=2208 Current State: 48:[1, 47, 2208], Operations: ['96*23=2208'] Exploring Operation: 47-1=46, Resulting Numbers: [2208, 46] Generated Node #3: [2208, 46] from Operation: 47-1=46 Current State: 48:[2208, 46], Operations: ['96*23=2208', '47-1=46'] Exploring Operation: 2208/46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 42, 15, 90 ]
16
[ "15-12=3", "90-42=48", "48/3=16" ]
Current State: 16:[12, 42, 15, 90], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [42, 90, 3] Generated Node #2: [42, 90, 3] from Operation: 15-12=3 Current State: 16:[42, 90, 3], Operations: ['15-12=3'] Exploring Operation: 90-42=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 90-42=48 Current State: 16:[3, 48], Operations: ['15-12=3', '90-42=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 99, 27, 45, 27 ]
99
[ "27-27=0", "45*0=0", "99+0=99" ]
Current State: 99:[99, 27, 45, 27], Operations: [] Exploring Operation: 27-27=0, Resulting Numbers: [99, 45, 0] Generated Node #2: [99, 45, 0] from Operation: 27-27=0 Current State: 99:[99, 45, 0], Operations: ['27-27=0'] Exploring Operation: 45*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 45*0=0 Current State: 99:[99, 0], Operations: ['27-27=0', '45*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 81, 26, 27 ]
26
[ "49-26=23", "81/27=3", "23+3=26" ]
Current State: 26:[49, 81, 26, 27], Operations: [] Exploring Operation: 49-26=23, Resulting Numbers: [81, 27, 23] Generated Node #2: [81, 27, 23] from Operation: 49-26=23 Current State: 26:[81, 27, 23], Operations: ['49-26=23'] Exploring Operation: 81/27=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 81/27=3 Current State: 26:[23, 3], Operations: ['49-26=23', '81/27=3'] Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 83, 65, 13, 7 ]
85
[ "83+7=90", "65/13=5", "90-5=85" ]
Current State: 85:[83, 65, 13, 7], Operations: [] Exploring Operation: 83+7=90, Resulting Numbers: [65, 13, 90] Generated Node #2: [65, 13, 90] from Operation: 83+7=90 Current State: 85:[65, 13, 90], Operations: ['83+7=90'] Exploring Operation: 65/13=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 65/13=5 Current State: 85:[90, 5], Operations: ['83+7=90', '65/13=5'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 27, 6, 57, 4 ]
42
[ "27+57=84", "6-4=2", "84/2=42" ]
Current State: 42:[27, 6, 57, 4], Operations: [] Exploring Operation: 27+57=84, Resulting Numbers: [6, 4, 84] Generated Node #2: [6, 4, 84] from Operation: 27+57=84 Current State: 42:[6, 4, 84], Operations: ['27+57=84'] Exploring Operation: 6-4=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 6-4=2 Current State: 42:[84, 2], Operations: ['27+57=84', '6-4=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 23, 53, 93 ]
50
[ "93-24=69", "69/23=3", "53-3=50" ]
Current State: 50:[24, 23, 53, 93], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [23, 53, 69] Generated Node #2: [23, 53, 69] from Operation: 93-24=69 Current State: 50:[23, 53, 69], Operations: ['93-24=69'] Exploring Operation: 69/23=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 69/23=3 Current State: 50:[53, 3], Operations: ['93-24=69', '69/23=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 43, 3, 38 ]
84
[ "43-38=5", "3*5=15", "69+15=84" ]
Current State: 84:[69, 43, 3, 38], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [69, 3, 5] Generated Node #2: [69, 3, 5] from Operation: 43-38=5 Current State: 84:[69, 3, 5], Operations: ['43-38=5'] Exploring Operation: 3*5=15, Resulting Numbers: [69, 15] Generated Node #3: [69, 15] from Operation: 3*5=15 Current State: 84:[69, 15], Operations: ['43-38=5', '3*5=15'] Exploring Operation: 69+15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 53, 4, 78 ]
69
[ "78-53=25", "4*25=100", "100-31=69" ]
Current State: 69:[31, 53, 4, 78], Operations: [] Exploring Operation: 78-53=25, Resulting Numbers: [31, 4, 25] Generated Node #2: [31, 4, 25] from Operation: 78-53=25 Current State: 69:[31, 4, 25], Operations: ['78-53=25'] Exploring Operation: 4*25=100, Resulting Numbers: [31, 100] Generated Node #3: [31, 100] from Operation: 4*25=100 Current State: 69:[31, 100], Operations: ['78-53=25', '4*25=100'] Exploring Operation: 100-31=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 39, 56, 75, 3 ]
23
[ "39+56=95", "75-3=72", "95-72=23" ]
Current State: 23:[39, 56, 75, 3], Operations: [] Exploring Operation: 39+56=95, Resulting Numbers: [75, 3, 95] Generated Node #2: [75, 3, 95] from Operation: 39+56=95 Current State: 23:[75, 3, 95], Operations: ['39+56=95'] Exploring Operation: 75-3=72, Resulting Numbers: [95, 72] Generated Node #3: [95, 72] from Operation: 75-3=72 Current State: 23:[95, 72], Operations: ['39+56=95', '75-3=72'] Exploring Operation: 95-72=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 94, 80, 56, 14 ]
56
[ "94-80=14", "56+14=70", "70-14=56" ]
Current State: 56:[94, 80, 56, 14], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [56, 14, 14] Generated Node #2: [56, 14, 14] from Operation: 94-80=14 Current State: 56:[56, 14, 14], Operations: ['94-80=14'] Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,56 equal: Goal Reached Exploring Operation: 70-14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 69, 30, 51 ]
26
[ "69-22=47", "51-30=21", "47-21=26" ]
Current State: 26:[22, 69, 30, 51], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [30, 51, 47] Generated Node #2: [30, 51, 47] from Operation: 69-22=47 Current State: 26:[30, 51, 47], Operations: ['69-22=47'] Exploring Operation: 51-30=21, Resulting Numbers: [47, 21] Generated Node #3: [47, 21] from Operation: 51-30=21 Current State: 26:[47, 21], Operations: ['69-22=47', '51-30=21'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 88, 92, 58 ]
63
[ "88+92=180", "180/36=5", "58+5=63" ]
Current State: 63:[36, 88, 92, 58], Operations: [] Exploring Operation: 88+92=180, Resulting Numbers: [36, 58, 180] Generated Node #2: [36, 58, 180] from Operation: 88+92=180 Current State: 63:[36, 58, 180], Operations: ['88+92=180'] Exploring Operation: 180/36=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 180/36=5 Current State: 63:[58, 5], Operations: ['88+92=180', '180/36=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 28, 57, 19, 36 ]
68
[ "28+57=85", "36-19=17", "85-17=68" ]
Current State: 68:[28, 57, 19, 36], Operations: [] Exploring Operation: 28+57=85, Resulting Numbers: [19, 36, 85] Generated Node #2: [19, 36, 85] from Operation: 28+57=85 Current State: 68:[19, 36, 85], Operations: ['28+57=85'] Exploring Operation: 36-19=17, Resulting Numbers: [85, 17] Generated Node #3: [85, 17] from Operation: 36-19=17 Current State: 68:[85, 17], Operations: ['28+57=85', '36-19=17'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 99, 24, 36, 29 ]
68
[ "99-24=75", "36-29=7", "75-7=68" ]
Current State: 68:[99, 24, 36, 29], Operations: [] Exploring Operation: 99-24=75, Resulting Numbers: [36, 29, 75] Generated Node #2: [36, 29, 75] from Operation: 99-24=75 Current State: 68:[36, 29, 75], Operations: ['99-24=75'] Exploring Operation: 36-29=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 36-29=7 Current State: 68:[75, 7], Operations: ['99-24=75', '36-29=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 42, 13, 56 ]
57
[ "2*56=112", "42+13=55", "112-55=57" ]
Current State: 57:[2, 42, 13, 56], Operations: [] Exploring Operation: 2*56=112, Resulting Numbers: [42, 13, 112] Generated Node #2: [42, 13, 112] from Operation: 2*56=112 Current State: 57:[42, 13, 112], Operations: ['2*56=112'] Exploring Operation: 42+13=55, Resulting Numbers: [112, 55] Generated Node #3: [112, 55] from Operation: 42+13=55 Current State: 57:[112, 55], Operations: ['2*56=112', '42+13=55'] Exploring Operation: 112-55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 33, 32, 35, 59 ]
25
[ "33-32=1", "59-35=24", "1+24=25" ]
Current State: 25:[33, 32, 35, 59], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [35, 59, 1] Generated Node #2: [35, 59, 1] from Operation: 33-32=1 Current State: 25:[35, 59, 1], Operations: ['33-32=1'] Exploring Operation: 59-35=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 59-35=24 Current State: 25:[1, 24], Operations: ['33-32=1', '59-35=24'] Exploring Operation: 1+24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 65, 84, 54 ]
57
[ "65-63=2", "54/2=27", "84-27=57" ]
Current State: 57:[63, 65, 84, 54], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [84, 54, 2] Generated Node #2: [84, 54, 2] from Operation: 65-63=2 Current State: 57:[84, 54, 2], Operations: ['65-63=2'] Exploring Operation: 54/2=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 54/2=27 Current State: 57:[84, 27], Operations: ['65-63=2', '54/2=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 42, 3, 47, 81 ]
94
[ "3+81=84", "84/42=2", "47*2=94" ]
Current State: 94:[42, 3, 47, 81], Operations: [] Exploring Operation: 3+81=84, Resulting Numbers: [42, 47, 84] Generated Node #2: [42, 47, 84] from Operation: 3+81=84 Current State: 94:[42, 47, 84], Operations: ['3+81=84'] Exploring Operation: 84/42=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 84/42=2 Current State: 94:[47, 2], Operations: ['3+81=84', '84/42=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 3, 24, 10, 3 ]
66
[ "3*10=30", "3*30=90", "90-24=66" ]
Current State: 66:[3, 24, 10, 3], Operations: [] Exploring Operation: 3*10=30, Resulting Numbers: [24, 30] Generated Node #2: [24, 30] from Operation: 3*10=30 Current State: 66:[24, 30], Operations: ['3*10=30'] Exploring Operation: 3*30=90, Resulting Numbers: [24, 90] Generated Node #3: [24, 90] from Operation: 3*30=90 Current State: 66:[24, 90], Operations: ['3*10=30', '3*30=90'] Exploring Operation: 90-24=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 17, 67, 51 ]
54
[ "67-16=51", "51/17=3", "51+3=54" ]
Current State: 54:[16, 17, 67, 51], Operations: [] Exploring Operation: 67-16=51, Resulting Numbers: [17, 51, 51] Generated Node #2: [17, 51, 51] from Operation: 67-16=51 Current State: 54:[17, 51, 51], Operations: ['67-16=51'] Exploring Operation: 51/17=3, Resulting Numbers: [3] 3,54 equal: Goal Reached Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 52, 9, 38, 23 ]
28
[ "52-9=43", "38-23=15", "43-15=28" ]
Current State: 28:[52, 9, 38, 23], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [38, 23, 43] Generated Node #2: [38, 23, 43] from Operation: 52-9=43 Current State: 28:[38, 23, 43], Operations: ['52-9=43'] Exploring Operation: 38-23=15, Resulting Numbers: [43, 15] Generated Node #3: [43, 15] from Operation: 38-23=15 Current State: 28:[43, 15], Operations: ['52-9=43', '38-23=15'] Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 32, 82, 13, 18 ]
45
[ "82-32=50", "18-13=5", "50-5=45" ]
Current State: 45:[32, 82, 13, 18], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [13, 18, 50] Generated Node #2: [13, 18, 50] from Operation: 82-32=50 Current State: 45:[13, 18, 50], Operations: ['82-32=50'] Exploring Operation: 18-13=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 18-13=5 Current State: 45:[50, 5], Operations: ['82-32=50', '18-13=5'] Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 13, 3, 92 ]
80
[ "17-13=4", "3*4=12", "92-12=80" ]
Current State: 80:[17, 13, 3, 92], Operations: [] Exploring Operation: 17-13=4, Resulting Numbers: [3, 92, 4] Generated Node #2: [3, 92, 4] from Operation: 17-13=4 Current State: 80:[3, 92, 4], Operations: ['17-13=4'] Exploring Operation: 3*4=12, Resulting Numbers: [92, 12] Generated Node #3: [92, 12] from Operation: 3*4=12 Current State: 80:[92, 12], Operations: ['17-13=4', '3*4=12'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 98, 83, 49 ]
68
[ "83-17=66", "98/49=2", "66+2=68" ]
Current State: 68:[17, 98, 83, 49], Operations: [] Exploring Operation: 83-17=66, Resulting Numbers: [98, 49, 66] Generated Node #2: [98, 49, 66] from Operation: 83-17=66 Current State: 68:[98, 49, 66], Operations: ['83-17=66'] Exploring Operation: 98/49=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 98/49=2 Current State: 68:[66, 2], Operations: ['83-17=66', '98/49=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 56, 4, 39, 40 ]
30
[ "56-4=52", "39*40=1560", "1560/52=30" ]
Current State: 30:[56, 4, 39, 40], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [39, 40, 52] Generated Node #2: [39, 40, 52] from Operation: 56-4=52 Current State: 30:[39, 40, 52], Operations: ['56-4=52'] Exploring Operation: 39*40=1560, Resulting Numbers: [52, 1560] Generated Node #3: [52, 1560] from Operation: 39*40=1560 Current State: 30:[52, 1560], Operations: ['56-4=52', '39*40=1560'] Exploring Operation: 1560/52=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 29, 21, 3 ]
92
[ "4*29=116", "21+3=24", "116-24=92" ]
Current State: 92:[4, 29, 21, 3], Operations: [] Exploring Operation: 4*29=116, Resulting Numbers: [21, 3, 116] Generated Node #2: [21, 3, 116] from Operation: 4*29=116 Current State: 92:[21, 3, 116], Operations: ['4*29=116'] Exploring Operation: 21+3=24, Resulting Numbers: [116, 24] Generated Node #3: [116, 24] from Operation: 21+3=24 Current State: 92:[116, 24], Operations: ['4*29=116', '21+3=24'] Exploring Operation: 116-24=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 5, 72, 33 ]
53
[ "58-33=25", "5*25=125", "125-72=53" ]
Current State: 53:[58, 5, 72, 33], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [5, 72, 25] Generated Node #2: [5, 72, 25] from Operation: 58-33=25 Current State: 53:[5, 72, 25], Operations: ['58-33=25'] Exploring Operation: 5*25=125, Resulting Numbers: [72, 125] Generated Node #3: [72, 125] from Operation: 5*25=125 Current State: 53:[72, 125], Operations: ['58-33=25', '5*25=125'] Exploring Operation: 125-72=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 16, 79, 10, 81 ]
100
[ "79+81=160", "160/16=10", "10*10=100" ]
Current State: 100:[16, 79, 10, 81], Operations: [] Exploring Operation: 79+81=160, Resulting Numbers: [16, 10, 160] Generated Node #2: [16, 10, 160] from Operation: 79+81=160 Current State: 100:[16, 10, 160], Operations: ['79+81=160'] Exploring Operation: 160/16=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 160/16=10 Current State: 100:[10, 10], Operations: ['79+81=160', '160/16=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 93, 19, 83 ]
96
[ "93-61=32", "83-19=64", "32+64=96" ]
Current State: 96:[61, 93, 19, 83], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [19, 83, 32] Generated Node #2: [19, 83, 32] from Operation: 93-61=32 Current State: 96:[19, 83, 32], Operations: ['93-61=32'] Exploring Operation: 83-19=64, Resulting Numbers: [32, 64] Generated Node #3: [32, 64] from Operation: 83-19=64 Current State: 96:[32, 64], Operations: ['93-61=32', '83-19=64'] Exploring Operation: 32+64=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 82, 21, 71 ]
33
[ "21/7=3", "82-71=11", "3*11=33" ]
Current State: 33:[7, 82, 21, 71], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [82, 71, 3] Generated Node #2: [82, 71, 3] from Operation: 21/7=3 Current State: 33:[82, 71, 3], Operations: ['21/7=3'] Exploring Operation: 82-71=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 82-71=11 Current State: 33:[3, 11], Operations: ['21/7=3', '82-71=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 95, 40, 39 ]
90
[ "95-4=91", "40-39=1", "91-1=90" ]
Current State: 90:[4, 95, 40, 39], Operations: [] Exploring Operation: 95-4=91, Resulting Numbers: [40, 39, 91] Generated Node #2: [40, 39, 91] from Operation: 95-4=91 Current State: 90:[40, 39, 91], Operations: ['95-4=91'] Exploring Operation: 40-39=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 40-39=1 Current State: 90:[91, 1], Operations: ['95-4=91', '40-39=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 2, 35, 15 ]
37
[ "54+35=89", "89-15=74", "74/2=37" ]
Current State: 37:[54, 2, 35, 15], Operations: [] Exploring Operation: 54+35=89, Resulting Numbers: [2, 15, 89] Generated Node #2: [2, 15, 89] from Operation: 54+35=89 Current State: 37:[2, 15, 89], Operations: ['54+35=89'] Exploring Operation: 89-15=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 89-15=74 Current State: 37:[2, 74], Operations: ['54+35=89', '89-15=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 25, 96, 56, 84 ]
32
[ "25+56=81", "84-81=3", "96/3=32" ]
Current State: 32:[25, 96, 56, 84], Operations: [] Exploring Operation: 25+56=81, Resulting Numbers: [96, 84, 81] Generated Node #2: [96, 84, 81] from Operation: 25+56=81 Current State: 32:[96, 84, 81], Operations: ['25+56=81'] Exploring Operation: 84-81=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 84-81=3 Current State: 32:[96, 3], Operations: ['25+56=81', '84-81=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 39, 31, 15 ]
73
[ "18+39=57", "31-15=16", "57+16=73" ]
Current State: 73:[18, 39, 31, 15], Operations: [] Exploring Operation: 18+39=57, Resulting Numbers: [31, 15, 57] Generated Node #2: [31, 15, 57] from Operation: 18+39=57 Current State: 73:[31, 15, 57], Operations: ['18+39=57'] Exploring Operation: 31-15=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 31-15=16 Current State: 73:[57, 16], Operations: ['18+39=57', '31-15=16'] Exploring Operation: 57+16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 76, 45, 73, 50 ]
54
[ "76-45=31", "73-50=23", "31+23=54" ]
Current State: 54:[76, 45, 73, 50], Operations: [] Exploring Operation: 76-45=31, Resulting Numbers: [73, 50, 31] Generated Node #2: [73, 50, 31] from Operation: 76-45=31 Current State: 54:[73, 50, 31], Operations: ['76-45=31'] Exploring Operation: 73-50=23, Resulting Numbers: [31, 23] Generated Node #3: [31, 23] from Operation: 73-50=23 Current State: 54:[31, 23], Operations: ['76-45=31', '73-50=23'] Exploring Operation: 31+23=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 16, 46, 80, 21 ]
89
[ "46-16=30", "80-21=59", "30+59=89" ]
Current State: 89:[16, 46, 80, 21], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [80, 21, 30] Generated Node #2: [80, 21, 30] from Operation: 46-16=30 Current State: 89:[80, 21, 30], Operations: ['46-16=30'] Exploring Operation: 80-21=59, Resulting Numbers: [30, 59] Generated Node #3: [30, 59] from Operation: 80-21=59 Current State: 89:[30, 59], Operations: ['46-16=30', '80-21=59'] Exploring Operation: 30+59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 13, 70, 2 ]
68
[ "52/13=4", "70+2=72", "72-4=68" ]
Current State: 68:[52, 13, 70, 2], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [70, 2, 4] Generated Node #2: [70, 2, 4] from Operation: 52/13=4 Current State: 68:[70, 2, 4], Operations: ['52/13=4'] Exploring Operation: 70+2=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 70+2=72 Current State: 68:[4, 72], Operations: ['52/13=4', '70+2=72'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 16, 82, 75, 70 ]
93
[ "16+82=98", "75-70=5", "98-5=93" ]
Current State: 93:[16, 82, 75, 70], Operations: [] Exploring Operation: 16+82=98, Resulting Numbers: [75, 70, 98] Generated Node #2: [75, 70, 98] from Operation: 16+82=98 Current State: 93:[75, 70, 98], Operations: ['16+82=98'] Exploring Operation: 75-70=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 75-70=5 Current State: 93:[98, 5], Operations: ['16+82=98', '75-70=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 90, 28, 10, 70 ]
86
[ "28*10=280", "280/70=4", "90-4=86" ]
Current State: 86:[90, 28, 10, 70], Operations: [] Exploring Operation: 28*10=280, Resulting Numbers: [90, 70, 280] Generated Node #2: [90, 70, 280] from Operation: 28*10=280 Current State: 86:[90, 70, 280], Operations: ['28*10=280'] Exploring Operation: 280/70=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 280/70=4 Current State: 86:[90, 4], Operations: ['28*10=280', '280/70=4'] Exploring Operation: 90-4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 71, 17, 23, 86 ]
21
[ "71+17=88", "23+86=109", "109-88=21" ]
Current State: 21:[71, 17, 23, 86], Operations: [] Exploring Operation: 71+17=88, Resulting Numbers: [23, 86, 88] Generated Node #2: [23, 86, 88] from Operation: 71+17=88 Current State: 21:[23, 86, 88], Operations: ['71+17=88'] Exploring Operation: 23+86=109, Resulting Numbers: [88, 109] Generated Node #3: [88, 109] from Operation: 23+86=109 Current State: 21:[88, 109], Operations: ['71+17=88', '23+86=109'] Exploring Operation: 109-88=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 8, 32, 23 ]
97
[ "11*8=88", "32-23=9", "88+9=97" ]
Current State: 97:[11, 8, 32, 23], Operations: [] Exploring Operation: 11*8=88, Resulting Numbers: [32, 23, 88] Generated Node #2: [32, 23, 88] from Operation: 11*8=88 Current State: 97:[32, 23, 88], Operations: ['11*8=88'] Exploring Operation: 32-23=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 32-23=9 Current State: 97:[88, 9], Operations: ['11*8=88', '32-23=9'] Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 28, 28, 85 ]
85
[ "28-28=0", "66*0=0", "85+0=85" ]
Current State: 85:[66, 28, 28, 85], Operations: [] Exploring Operation: 28-28=0, Resulting Numbers: [66, 85, 0] Generated Node #2: [66, 85, 0] from Operation: 28-28=0 Current State: 85:[66, 85, 0], Operations: ['28-28=0'] Exploring Operation: 66*0=0, Resulting Numbers: [85, 0] Generated Node #3: [85, 0] from Operation: 66*0=0 Current State: 85:[85, 0], Operations: ['28-28=0', '66*0=0'] Exploring Operation: 85+0=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 58, 42, 3, 48 ]
44
[ "58+42=100", "3*48=144", "144-100=44" ]
Current State: 44:[58, 42, 3, 48], Operations: [] Exploring Operation: 58+42=100, Resulting Numbers: [3, 48, 100] Generated Node #2: [3, 48, 100] from Operation: 58+42=100 Current State: 44:[3, 48, 100], Operations: ['58+42=100'] Exploring Operation: 3*48=144, Resulting Numbers: [100, 144] Generated Node #3: [100, 144] from Operation: 3*48=144 Current State: 44:[100, 144], Operations: ['58+42=100', '3*48=144'] Exploring Operation: 144-100=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 69, 21, 2 ]
86
[ "61+69=130", "130/2=65", "21+65=86" ]
Current State: 86:[61, 69, 21, 2], Operations: [] Exploring Operation: 61+69=130, Resulting Numbers: [21, 2, 130] Generated Node #2: [21, 2, 130] from Operation: 61+69=130 Current State: 86:[21, 2, 130], Operations: ['61+69=130'] Exploring Operation: 130/2=65, Resulting Numbers: [21, 65] Generated Node #3: [21, 65] from Operation: 130/2=65 Current State: 86:[21, 65], Operations: ['61+69=130', '130/2=65'] Exploring Operation: 21+65=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 86, 88, 69, 98 ]
20
[ "88-86=2", "98/2=49", "69-49=20" ]
Current State: 20:[86, 88, 69, 98], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [69, 98, 2] Generated Node #2: [69, 98, 2] from Operation: 88-86=2 Current State: 20:[69, 98, 2], Operations: ['88-86=2'] Exploring Operation: 98/2=49, Resulting Numbers: [69, 49] Generated Node #3: [69, 49] from Operation: 98/2=49 Current State: 20:[69, 49], Operations: ['88-86=2', '98/2=49'] Exploring Operation: 69-49=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 38, 69, 2 ]
52
[ "5+38=43", "69-43=26", "2*26=52" ]
Current State: 52:[5, 38, 69, 2], Operations: [] Exploring Operation: 5+38=43, Resulting Numbers: [69, 2, 43] Generated Node #2: [69, 2, 43] from Operation: 5+38=43 Current State: 52:[69, 2, 43], Operations: ['5+38=43'] Exploring Operation: 69-43=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 69-43=26 Current State: 52:[2, 26], Operations: ['5+38=43', '69-43=26'] Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 75, 27, 18, 46 ]
20
[ "75-27=48", "46-18=28", "48-28=20" ]
Current State: 20:[75, 27, 18, 46], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [18, 46, 48] Generated Node #2: [18, 46, 48] from Operation: 75-27=48 Current State: 20:[18, 46, 48], Operations: ['75-27=48'] Exploring Operation: 46-18=28, Resulting Numbers: [48, 28] Generated Node #3: [48, 28] from Operation: 46-18=28 Current State: 20:[48, 28], Operations: ['75-27=48', '46-18=28'] Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 58, 3, 7, 31 ]
62
[ "31-3=28", "28/7=4", "58+4=62" ]
Current State: 62:[58, 3, 7, 31], Operations: [] Exploring Operation: 31-3=28, Resulting Numbers: [58, 7, 28] Generated Node #2: [58, 7, 28] from Operation: 31-3=28 Current State: 62:[58, 7, 28], Operations: ['31-3=28'] Exploring Operation: 28/7=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 28/7=4 Current State: 62:[58, 4], Operations: ['31-3=28', '28/7=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 85, 84, 76, 78 ]
54
[ "85-76=9", "84-78=6", "9*6=54" ]
Current State: 54:[85, 84, 76, 78], Operations: [] Exploring Operation: 85-76=9, Resulting Numbers: [84, 78, 9] Generated Node #2: [84, 78, 9] from Operation: 85-76=9 Current State: 54:[84, 78, 9], Operations: ['85-76=9'] Exploring Operation: 84-78=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 84-78=6 Current State: 54:[9, 6], Operations: ['85-76=9', '84-78=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 85, 12, 64, 74 ]
41
[ "85+12=97", "64+74=138", "138-97=41" ]
Current State: 41:[85, 12, 64, 74], Operations: [] Exploring Operation: 85+12=97, Resulting Numbers: [64, 74, 97] Generated Node #2: [64, 74, 97] from Operation: 85+12=97 Current State: 41:[64, 74, 97], Operations: ['85+12=97'] Exploring Operation: 64+74=138, Resulting Numbers: [97, 138] Generated Node #3: [97, 138] from Operation: 64+74=138 Current State: 41:[97, 138], Operations: ['85+12=97', '64+74=138'] Exploring Operation: 138-97=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 73, 85, 39, 1 ]
52
[ "85-73=12", "39+1=40", "12+40=52" ]
Current State: 52:[73, 85, 39, 1], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [39, 1, 12] Generated Node #2: [39, 1, 12] from Operation: 85-73=12 Current State: 52:[39, 1, 12], Operations: ['85-73=12'] Exploring Operation: 39+1=40, Resulting Numbers: [12, 40] Generated Node #3: [12, 40] from Operation: 39+1=40 Current State: 52:[12, 40], Operations: ['85-73=12', '39+1=40'] Exploring Operation: 12+40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 11, 58, 65 ]
42
[ "17-11=6", "65-58=7", "6*7=42" ]
Current State: 42:[17, 11, 58, 65], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [58, 65, 6] Generated Node #2: [58, 65, 6] from Operation: 17-11=6 Current State: 42:[58, 65, 6], Operations: ['17-11=6'] Exploring Operation: 65-58=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 65-58=7 Current State: 42:[6, 7], Operations: ['17-11=6', '65-58=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 60, 68, 17 ]
34
[ "60-56=4", "68/4=17", "17+17=34" ]
Current State: 34:[56, 60, 68, 17], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [68, 17, 4] Generated Node #2: [68, 17, 4] from Operation: 60-56=4 Current State: 34:[68, 17, 4], Operations: ['60-56=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17, 17] Generated Node #3: [17, 17] from Operation: 68/4=17 Current State: 34:[17, 17], Operations: ['60-56=4', '68/4=17'] Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 15, 82, 7 ]
26
[ "82-5=77", "77/7=11", "15+11=26" ]
Current State: 26:[5, 15, 82, 7], Operations: [] Exploring Operation: 82-5=77, Resulting Numbers: [15, 7, 77] Generated Node #2: [15, 7, 77] from Operation: 82-5=77 Current State: 26:[15, 7, 77], Operations: ['82-5=77'] Exploring Operation: 77/7=11, Resulting Numbers: [15, 11] Generated Node #3: [15, 11] from Operation: 77/7=11 Current State: 26:[15, 11], Operations: ['82-5=77', '77/7=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 84, 39, 9, 99 ]
65
[ "99-84=15", "39*15=585", "585/9=65" ]
Current State: 65:[84, 39, 9, 99], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [39, 9, 15] Generated Node #2: [39, 9, 15] from Operation: 99-84=15 Current State: 65:[39, 9, 15], Operations: ['99-84=15'] Exploring Operation: 39*15=585, Resulting Numbers: [9, 585] Generated Node #3: [9, 585] from Operation: 39*15=585 Current State: 65:[9, 585], Operations: ['99-84=15', '39*15=585'] Exploring Operation: 585/9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 87, 2, 78, 59 ]
92
[ "87-59=28", "28/2=14", "78+14=92" ]
Current State: 92:[87, 2, 78, 59], Operations: [] Exploring Operation: 87-59=28, Resulting Numbers: [2, 78, 28] Generated Node #2: [2, 78, 28] from Operation: 87-59=28 Current State: 92:[2, 78, 28], Operations: ['87-59=28'] Exploring Operation: 28/2=14, Resulting Numbers: [78, 14] Generated Node #3: [78, 14] from Operation: 28/2=14 Current State: 92:[78, 14], Operations: ['87-59=28', '28/2=14'] Exploring Operation: 78+14=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 5, 43, 1 ]
51
[ "45/5=9", "43-1=42", "9+42=51" ]
Current State: 51:[45, 5, 43, 1], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [43, 1, 9] Generated Node #2: [43, 1, 9] from Operation: 45/5=9 Current State: 51:[43, 1, 9], Operations: ['45/5=9'] Exploring Operation: 43-1=42, Resulting Numbers: [9, 42] Generated Node #3: [9, 42] from Operation: 43-1=42 Current State: 51:[9, 42], Operations: ['45/5=9', '43-1=42'] Exploring Operation: 9+42=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 10, 52, 34, 18 ]
11
[ "52-34=18", "18/18=1", "10+1=11" ]
Current State: 11:[10, 52, 34, 18], Operations: [] Exploring Operation: 52-34=18, Resulting Numbers: [10, 18, 18] Generated Node #2: [10, 18, 18] from Operation: 52-34=18 Current State: 11:[10, 18, 18], Operations: ['52-34=18'] Exploring Operation: 18/18=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 18/18=1 Current State: 11:[10, 1], Operations: ['52-34=18', '18/18=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 76, 83, 92 ]
60
[ "76-72=4", "92/4=23", "83-23=60" ]
Current State: 60:[72, 76, 83, 92], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [83, 92, 4] Generated Node #2: [83, 92, 4] from Operation: 76-72=4 Current State: 60:[83, 92, 4], Operations: ['76-72=4'] Exploring Operation: 92/4=23, Resulting Numbers: [83, 23] Generated Node #3: [83, 23] from Operation: 92/4=23 Current State: 60:[83, 23], Operations: ['76-72=4', '92/4=23'] Exploring Operation: 83-23=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 13, 48, 23 ]
24
[ "49-23=26", "13*48=624", "624/26=24" ]
Current State: 24:[49, 13, 48, 23], Operations: [] Exploring Operation: 49-23=26, Resulting Numbers: [13, 48, 26] Generated Node #2: [13, 48, 26] from Operation: 49-23=26 Current State: 24:[13, 48, 26], Operations: ['49-23=26'] Exploring Operation: 13*48=624, Resulting Numbers: [26, 624] Generated Node #3: [26, 624] from Operation: 13*48=624 Current State: 24:[26, 624], Operations: ['49-23=26', '13*48=624'] Exploring Operation: 624/26=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 9, 14, 41, 92 ]
46
[ "14-9=5", "92-41=51", "51-5=46" ]
Current State: 46:[9, 14, 41, 92], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [41, 92, 5] Generated Node #2: [41, 92, 5] from Operation: 14-9=5 Current State: 46:[41, 92, 5], Operations: ['14-9=5'] Exploring Operation: 92-41=51, Resulting Numbers: [5, 51] Generated Node #3: [5, 51] from Operation: 92-41=51 Current State: 46:[5, 51], Operations: ['14-9=5', '92-41=51'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 12, 10, 46 ]
62
[ "19-10=9", "12*9=108", "108-46=62" ]
Current State: 62:[19, 12, 10, 46], Operations: [] Exploring Operation: 19-10=9, Resulting Numbers: [12, 46, 9] Generated Node #2: [12, 46, 9] from Operation: 19-10=9 Current State: 62:[12, 46, 9], Operations: ['19-10=9'] Exploring Operation: 12*9=108, Resulting Numbers: [46, 108] Generated Node #3: [46, 108] from Operation: 12*9=108 Current State: 62:[46, 108], Operations: ['19-10=9', '12*9=108'] Exploring Operation: 108-46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 19, 95, 23, 64 ]
11
[ "95-19=76", "23+64=87", "87-76=11" ]
Current State: 11:[19, 95, 23, 64], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [23, 64, 76] Generated Node #2: [23, 64, 76] from Operation: 95-19=76 Current State: 11:[23, 64, 76], Operations: ['95-19=76'] Exploring Operation: 23+64=87, Resulting Numbers: [76, 87] Generated Node #3: [76, 87] from Operation: 23+64=87 Current State: 11:[76, 87], Operations: ['95-19=76', '23+64=87'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 50, 95, 72, 3 ]
63
[ "95-50=45", "3*45=135", "135-72=63" ]
Current State: 63:[50, 95, 72, 3], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [72, 3, 45] Generated Node #2: [72, 3, 45] from Operation: 95-50=45 Current State: 63:[72, 3, 45], Operations: ['95-50=45'] Exploring Operation: 3*45=135, Resulting Numbers: [72, 135] Generated Node #3: [72, 135] from Operation: 3*45=135 Current State: 63:[72, 135], Operations: ['95-50=45', '3*45=135'] Exploring Operation: 135-72=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 30, 39, 22 ]
23
[ "30/5=6", "39-22=17", "6+17=23" ]
Current State: 23:[5, 30, 39, 22], Operations: [] Exploring Operation: 30/5=6, Resulting Numbers: [39, 22, 6] Generated Node #2: [39, 22, 6] from Operation: 30/5=6 Current State: 23:[39, 22, 6], Operations: ['30/5=6'] Exploring Operation: 39-22=17, Resulting Numbers: [6, 17] Generated Node #3: [6, 17] from Operation: 39-22=17 Current State: 23:[6, 17], Operations: ['30/5=6', '39-22=17'] Exploring Operation: 6+17=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 79, 30, 4 ]
29
[ "84-79=5", "30+4=34", "34-5=29" ]
Current State: 29:[84, 79, 30, 4], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [30, 4, 5] Generated Node #2: [30, 4, 5] from Operation: 84-79=5 Current State: 29:[30, 4, 5], Operations: ['84-79=5'] Exploring Operation: 30+4=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 30+4=34 Current State: 29:[5, 34], Operations: ['84-79=5', '30+4=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 19, 72, 74, 1 ]
40
[ "19+1=20", "74-72=2", "20*2=40" ]
Current State: 40:[19, 72, 74, 1], Operations: [] Exploring Operation: 19+1=20, Resulting Numbers: [72, 74, 20] Generated Node #2: [72, 74, 20] from Operation: 19+1=20 Current State: 40:[72, 74, 20], Operations: ['19+1=20'] Exploring Operation: 74-72=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 74-72=2 Current State: 40:[20, 2], Operations: ['19+1=20', '74-72=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 85, 74, 73 ]
57
[ "85-28=57", "74-73=1", "57*1=57" ]
Current State: 57:[28, 85, 74, 73], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [74, 73, 57] Generated Node #2: [74, 73, 57] from Operation: 85-28=57 Current State: 57:[74, 73, 57], Operations: ['85-28=57'] Exploring Operation: 74-73=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 74-73=1 Current State: 57:[57, 1], Operations: ['85-28=57', '74-73=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 12, 86, 70 ]
84
[ "70-12=58", "58/29=2", "86-2=84" ]
Current State: 84:[29, 12, 86, 70], Operations: [] Exploring Operation: 70-12=58, Resulting Numbers: [29, 86, 58] Generated Node #2: [29, 86, 58] from Operation: 70-12=58 Current State: 84:[29, 86, 58], Operations: ['70-12=58'] Exploring Operation: 58/29=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 58/29=2 Current State: 84:[86, 2], Operations: ['70-12=58', '58/29=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 60, 40, 39, 33 ]
59
[ "40*39=1560", "1560/60=26", "33+26=59" ]
Current State: 59:[60, 40, 39, 33], Operations: [] Exploring Operation: 40*39=1560, Resulting Numbers: [60, 33, 1560] Generated Node #2: [60, 33, 1560] from Operation: 40*39=1560 Current State: 59:[60, 33, 1560], Operations: ['40*39=1560'] Exploring Operation: 1560/60=26, Resulting Numbers: [33, 26] Generated Node #3: [33, 26] from Operation: 1560/60=26 Current State: 59:[33, 26], Operations: ['40*39=1560', '1560/60=26'] Exploring Operation: 33+26=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 64, 68, 76, 32 ]
60
[ "64*68=4352", "4352/32=136", "136-76=60" ]
Current State: 60:[64, 68, 76, 32], Operations: [] Exploring Operation: 64*68=4352, Resulting Numbers: [76, 32, 4352] Generated Node #2: [76, 32, 4352] from Operation: 64*68=4352 Current State: 60:[76, 32, 4352], Operations: ['64*68=4352'] Exploring Operation: 4352/32=136, Resulting Numbers: [76, 136] Generated Node #3: [76, 136] from Operation: 4352/32=136 Current State: 60:[76, 136], Operations: ['64*68=4352', '4352/32=136'] Exploring Operation: 136-76=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 66, 23, 20 ]
87
[ "23-20=3", "7*3=21", "66+21=87" ]
Current State: 87:[7, 66, 23, 20], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [7, 66, 3] Generated Node #2: [7, 66, 3] from Operation: 23-20=3 Current State: 87:[7, 66, 3], Operations: ['23-20=3'] Exploring Operation: 7*3=21, Resulting Numbers: [66, 21] Generated Node #3: [66, 21] from Operation: 7*3=21 Current State: 87:[66, 21], Operations: ['23-20=3', '7*3=21'] Exploring Operation: 66+21=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 83, 77, 15 ]
66
[ "4*15=60", "83-77=6", "60+6=66" ]
Current State: 66:[4, 83, 77, 15], Operations: [] Exploring Operation: 4*15=60, Resulting Numbers: [83, 77, 60] Generated Node #2: [83, 77, 60] from Operation: 4*15=60 Current State: 66:[83, 77, 60], Operations: ['4*15=60'] Exploring Operation: 83-77=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 83-77=6 Current State: 66:[60, 6], Operations: ['4*15=60', '83-77=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 83, 97, 2, 84 ]
98
[ "83+97=180", "84-2=82", "180-82=98" ]
Current State: 98:[83, 97, 2, 84], Operations: [] Exploring Operation: 83+97=180, Resulting Numbers: [2, 84, 180] Generated Node #2: [2, 84, 180] from Operation: 83+97=180 Current State: 98:[2, 84, 180], Operations: ['83+97=180'] Exploring Operation: 84-2=82, Resulting Numbers: [180, 82] Generated Node #3: [180, 82] from Operation: 84-2=82 Current State: 98:[180, 82], Operations: ['83+97=180', '84-2=82'] Exploring Operation: 180-82=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 15, 3, 83 ]
50
[ "83-38=45", "15/3=5", "45+5=50" ]
Current State: 50:[38, 15, 3, 83], Operations: [] Exploring Operation: 83-38=45, Resulting Numbers: [15, 3, 45] Generated Node #2: [15, 3, 45] from Operation: 83-38=45 Current State: 50:[15, 3, 45], Operations: ['83-38=45'] Exploring Operation: 15/3=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 15/3=5 Current State: 50:[45, 5], Operations: ['83-38=45', '15/3=5'] Exploring Operation: 45+5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 75, 86, 64 ]
39
[ "36+75=111", "86+64=150", "150-111=39" ]
Current State: 39:[36, 75, 86, 64], Operations: [] Exploring Operation: 36+75=111, Resulting Numbers: [86, 64, 111] Generated Node #2: [86, 64, 111] from Operation: 36+75=111 Current State: 39:[86, 64, 111], Operations: ['36+75=111'] Exploring Operation: 86+64=150, Resulting Numbers: [111, 150] Generated Node #3: [111, 150] from Operation: 86+64=150 Current State: 39:[111, 150], Operations: ['36+75=111', '86+64=150'] Exploring Operation: 150-111=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 30, 90, 81, 15 ]
32
[ "90/30=3", "81+15=96", "96/3=32" ]
Current State: 32:[30, 90, 81, 15], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [81, 15, 3] Generated Node #2: [81, 15, 3] from Operation: 90/30=3 Current State: 32:[81, 15, 3], Operations: ['90/30=3'] Exploring Operation: 81+15=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 81+15=96 Current State: 32:[3, 96], Operations: ['90/30=3', '81+15=96'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 50, 42, 7, 84 ]
28
[ "50-42=8", "7*8=56", "84-56=28" ]
Current State: 28:[50, 42, 7, 84], Operations: [] Exploring Operation: 50-42=8, Resulting Numbers: [7, 84, 8] Generated Node #2: [7, 84, 8] from Operation: 50-42=8 Current State: 28:[7, 84, 8], Operations: ['50-42=8'] Exploring Operation: 7*8=56, Resulting Numbers: [84, 56] Generated Node #3: [84, 56] from Operation: 7*8=56 Current State: 28:[84, 56], Operations: ['50-42=8', '7*8=56'] Exploring Operation: 84-56=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 3, 60, 52 ]
79
[ "49+52=101", "3*60=180", "180-101=79" ]
Current State: 79:[49, 3, 60, 52], Operations: [] Exploring Operation: 49+52=101, Resulting Numbers: [3, 60, 101] Generated Node #2: [3, 60, 101] from Operation: 49+52=101 Current State: 79:[3, 60, 101], Operations: ['49+52=101'] Exploring Operation: 3*60=180, Resulting Numbers: [101, 180] Generated Node #3: [101, 180] from Operation: 3*60=180 Current State: 79:[101, 180], Operations: ['49+52=101', '3*60=180'] Exploring Operation: 180-101=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4