Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 20, 58, 98, 5 ]
39
[ "20/5=4", "58+98=156", "156/4=39" ]
Current State: 39:[20, 58, 98, 5], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [58, 98, 4] Generated Node #2: [58, 98, 4] from Operation: 20/5=4 Current State: 39:[58, 98, 4], Operations: ['20/5=4'] Exploring Operation: 58+98=156, Resulting Numbers: [4, 156] Generated Node #3: [4, 156] from Operation: 58+98=156 Current State: 39:[4, 156], Operations: ['20/5=4', '58+98=156'] Exploring Operation: 156/4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 8, 73, 16 ]
92
[ "27+8=35", "73-16=57", "35+57=92" ]
Current State: 92:[27, 8, 73, 16], Operations: [] Exploring Operation: 27+8=35, Resulting Numbers: [73, 16, 35] Generated Node #2: [73, 16, 35] from Operation: 27+8=35 Current State: 92:[73, 16, 35], Operations: ['27+8=35'] Exploring Operation: 73-16=57, Resulting Numbers: [35, 57] Generated Node #3: [35, 57] from Operation: 73-16=57 Current State: 92:[35, 57], Operations: ['27+8=35', '73-16=57'] Exploring Operation: 35+57=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 62, 37, 36, 76 ]
87
[ "62-37=25", "36+76=112", "112-25=87" ]
Current State: 87:[62, 37, 36, 76], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [36, 76, 25] Generated Node #2: [36, 76, 25] from Operation: 62-37=25 Current State: 87:[36, 76, 25], Operations: ['62-37=25'] Exploring Operation: 36+76=112, Resulting Numbers: [25, 112] Generated Node #3: [25, 112] from Operation: 36+76=112 Current State: 87:[25, 112], Operations: ['62-37=25', '36+76=112'] Exploring Operation: 112-25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 87, 80, 6 ]
31
[ "4*6=24", "87-80=7", "24+7=31" ]
Current State: 31:[4, 87, 80, 6], Operations: [] Exploring Operation: 4*6=24, Resulting Numbers: [87, 80, 24] Generated Node #2: [87, 80, 24] from Operation: 4*6=24 Current State: 31:[87, 80, 24], Operations: ['4*6=24'] Exploring Operation: 87-80=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 87-80=7 Current State: 31:[24, 7], Operations: ['4*6=24', '87-80=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 45, 2, 29, 9 ]
48
[ "45/9=5", "29-5=24", "2*24=48" ]
Current State: 48:[45, 2, 29, 9], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [2, 29, 5] Generated Node #2: [2, 29, 5] from Operation: 45/9=5 Current State: 48:[2, 29, 5], Operations: ['45/9=5'] Exploring Operation: 29-5=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 29-5=24 Current State: 48:[2, 24], Operations: ['45/9=5', '29-5=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 83, 82, 61, 10 ]
51
[ "83-82=1", "61-10=51", "1*51=51" ]
Current State: 51:[83, 82, 61, 10], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [61, 10, 1] Generated Node #2: [61, 10, 1] from Operation: 83-82=1 Current State: 51:[61, 10, 1], Operations: ['83-82=1'] Exploring Operation: 61-10=51, Resulting Numbers: [1, 51] Generated Node #3: [1, 51] from Operation: 61-10=51 Current State: 51:[1, 51], Operations: ['83-82=1', '61-10=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 1, 31, 11, 13 ]
62
[ "1*31=31", "13-11=2", "31*2=62" ]
Current State: 62:[1, 31, 11, 13], Operations: [] Exploring Operation: 1*31=31, Resulting Numbers: [11, 13, 31] Generated Node #2: [11, 13, 31] from Operation: 1*31=31 Current State: 62:[11, 13, 31], Operations: ['1*31=31'] Exploring Operation: 13-11=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 13-11=2 Current State: 62:[31, 2], Operations: ['1*31=31', '13-11=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 40, 6, 9, 68 ]
82
[ "68-40=28", "6*9=54", "28+54=82" ]
Current State: 82:[40, 6, 9, 68], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [6, 9, 28] Generated Node #2: [6, 9, 28] from Operation: 68-40=28 Current State: 82:[6, 9, 28], Operations: ['68-40=28'] Exploring Operation: 6*9=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 6*9=54 Current State: 82:[28, 54], Operations: ['68-40=28', '6*9=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 22, 72, 87, 4 ]
83
[ "87-22=65", "72/4=18", "65+18=83" ]
Current State: 83:[22, 72, 87, 4], Operations: [] Exploring Operation: 87-22=65, Resulting Numbers: [72, 4, 65] Generated Node #2: [72, 4, 65] from Operation: 87-22=65 Current State: 83:[72, 4, 65], Operations: ['87-22=65'] Exploring Operation: 72/4=18, Resulting Numbers: [65, 18] Generated Node #3: [65, 18] from Operation: 72/4=18 Current State: 83:[65, 18], Operations: ['87-22=65', '72/4=18'] Exploring Operation: 65+18=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 76, 38, 56, 46 ]
48
[ "76-38=38", "56-46=10", "38+10=48" ]
Current State: 48:[76, 38, 56, 46], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [56, 46, 38] Generated Node #2: [56, 46, 38] from Operation: 76-38=38 Current State: 48:[56, 46, 38], Operations: ['76-38=38'] Exploring Operation: 56-46=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 56-46=10 Current State: 48:[38, 10], Operations: ['76-38=38', '56-46=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 2, 78, 95 ]
50
[ "12+78=90", "90/2=45", "95-45=50" ]
Current State: 50:[12, 2, 78, 95], Operations: [] Exploring Operation: 12+78=90, Resulting Numbers: [2, 95, 90] Generated Node #2: [2, 95, 90] from Operation: 12+78=90 Current State: 50:[2, 95, 90], Operations: ['12+78=90'] Exploring Operation: 90/2=45, Resulting Numbers: [95, 45] Generated Node #3: [95, 45] from Operation: 90/2=45 Current State: 50:[95, 45], Operations: ['12+78=90', '90/2=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 39, 92, 22 ]
62
[ "91-39=52", "92+22=114", "114-52=62" ]
Current State: 62:[91, 39, 92, 22], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [92, 22, 52] Generated Node #2: [92, 22, 52] from Operation: 91-39=52 Current State: 62:[92, 22, 52], Operations: ['91-39=52'] Exploring Operation: 92+22=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 92+22=114 Current State: 62:[52, 114], Operations: ['91-39=52', '92+22=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 9, 46, 52 ]
49
[ "11-9=2", "46+52=98", "98/2=49" ]
Current State: 49:[11, 9, 46, 52], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [46, 52, 2] Generated Node #2: [46, 52, 2] from Operation: 11-9=2 Current State: 49:[46, 52, 2], Operations: ['11-9=2'] Exploring Operation: 46+52=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 46+52=98 Current State: 49:[2, 98], Operations: ['11-9=2', '46+52=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 42, 97, 61, 75 ]
69
[ "97-42=55", "75-61=14", "55+14=69" ]
Current State: 69:[42, 97, 61, 75], Operations: [] Exploring Operation: 97-42=55, Resulting Numbers: [61, 75, 55] Generated Node #2: [61, 75, 55] from Operation: 97-42=55 Current State: 69:[61, 75, 55], Operations: ['97-42=55'] Exploring Operation: 75-61=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 75-61=14 Current State: 69:[55, 14], Operations: ['97-42=55', '75-61=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 77, 94, 2, 29 ]
53
[ "94-29=65", "2*65=130", "130-77=53" ]
Current State: 53:[77, 94, 2, 29], Operations: [] Exploring Operation: 94-29=65, Resulting Numbers: [77, 2, 65] Generated Node #2: [77, 2, 65] from Operation: 94-29=65 Current State: 53:[77, 2, 65], Operations: ['94-29=65'] Exploring Operation: 2*65=130, Resulting Numbers: [77, 130] Generated Node #3: [77, 130] from Operation: 2*65=130 Current State: 53:[77, 130], Operations: ['94-29=65', '2*65=130'] Exploring Operation: 130-77=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 81, 84, 8, 77 ]
96
[ "81+84=165", "77-8=69", "165-69=96" ]
Current State: 96:[81, 84, 8, 77], Operations: [] Exploring Operation: 81+84=165, Resulting Numbers: [8, 77, 165] Generated Node #2: [8, 77, 165] from Operation: 81+84=165 Current State: 96:[8, 77, 165], Operations: ['81+84=165'] Exploring Operation: 77-8=69, Resulting Numbers: [165, 69] Generated Node #3: [165, 69] from Operation: 77-8=69 Current State: 96:[165, 69], Operations: ['81+84=165', '77-8=69'] Exploring Operation: 165-69=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 31, 13, 62, 90 ]
58
[ "62/31=2", "90/2=45", "13+45=58" ]
Current State: 58:[31, 13, 62, 90], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [13, 90, 2] Generated Node #2: [13, 90, 2] from Operation: 62/31=2 Current State: 58:[13, 90, 2], Operations: ['62/31=2'] Exploring Operation: 90/2=45, Resulting Numbers: [13, 45] Generated Node #3: [13, 45] from Operation: 90/2=45 Current State: 58:[13, 45], Operations: ['62/31=2', '90/2=45'] Exploring Operation: 13+45=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 25, 16, 99 ]
85
[ "25-16=9", "99/9=11", "74+11=85" ]
Current State: 85:[74, 25, 16, 99], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [74, 99, 9] Generated Node #2: [74, 99, 9] from Operation: 25-16=9 Current State: 85:[74, 99, 9], Operations: ['25-16=9'] Exploring Operation: 99/9=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 99/9=11 Current State: 85:[74, 11], Operations: ['25-16=9', '99/9=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 90, 68, 23, 95 ]
94
[ "90-68=22", "95-23=72", "22+72=94" ]
Current State: 94:[90, 68, 23, 95], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [23, 95, 22] Generated Node #2: [23, 95, 22] from Operation: 90-68=22 Current State: 94:[23, 95, 22], Operations: ['90-68=22'] Exploring Operation: 95-23=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 95-23=72 Current State: 94:[22, 72], Operations: ['90-68=22', '95-23=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 73, 5, 40, 93 ]
72
[ "73-40=33", "5*33=165", "165-93=72" ]
Current State: 72:[73, 5, 40, 93], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [5, 93, 33] Generated Node #2: [5, 93, 33] from Operation: 73-40=33 Current State: 72:[5, 93, 33], Operations: ['73-40=33'] Exploring Operation: 5*33=165, Resulting Numbers: [93, 165] Generated Node #3: [93, 165] from Operation: 5*33=165 Current State: 72:[93, 165], Operations: ['73-40=33', '5*33=165'] Exploring Operation: 165-93=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 54, 10, 99 ]
24
[ "54-10=44", "54*44=2376", "2376/99=24" ]
Current State: 24:[54, 54, 10, 99], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [99, 44] Generated Node #2: [99, 44] from Operation: 54-10=44 Current State: 24:[99, 44], Operations: ['54-10=44'] Exploring Operation: 54*44=2376, Resulting Numbers: [99, 2376] Generated Node #3: [99, 2376] from Operation: 54*44=2376 Current State: 24:[99, 2376], Operations: ['54-10=44', '54*44=2376'] Exploring Operation: 2376/99=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 9, 97, 3 ]
57
[ "97-13=84", "9*3=27", "84-27=57" ]
Current State: 57:[13, 9, 97, 3], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [9, 3, 84] Generated Node #2: [9, 3, 84] from Operation: 97-13=84 Current State: 57:[9, 3, 84], Operations: ['97-13=84'] Exploring Operation: 9*3=27, Resulting Numbers: [84, 27] Generated Node #3: [84, 27] from Operation: 9*3=27 Current State: 57:[84, 27], Operations: ['97-13=84', '9*3=27'] Exploring Operation: 84-27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 62, 23, 49, 25 ]
15
[ "62-23=39", "49-25=24", "39-24=15" ]
Current State: 15:[62, 23, 49, 25], Operations: [] Exploring Operation: 62-23=39, Resulting Numbers: [49, 25, 39] Generated Node #2: [49, 25, 39] from Operation: 62-23=39 Current State: 15:[49, 25, 39], Operations: ['62-23=39'] Exploring Operation: 49-25=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 49-25=24 Current State: 15:[39, 24], Operations: ['62-23=39', '49-25=24'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 21, 23, 92 ]
34
[ "14+21=35", "92-23=69", "69-35=34" ]
Current State: 34:[14, 21, 23, 92], Operations: [] Exploring Operation: 14+21=35, Resulting Numbers: [23, 92, 35] Generated Node #2: [23, 92, 35] from Operation: 14+21=35 Current State: 34:[23, 92, 35], Operations: ['14+21=35'] Exploring Operation: 92-23=69, Resulting Numbers: [35, 69] Generated Node #3: [35, 69] from Operation: 92-23=69 Current State: 34:[35, 69], Operations: ['14+21=35', '92-23=69'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 36, 17, 69 ]
90
[ "36+17=53", "3*53=159", "159-69=90" ]
Current State: 90:[3, 36, 17, 69], Operations: [] Exploring Operation: 36+17=53, Resulting Numbers: [3, 69, 53] Generated Node #2: [3, 69, 53] from Operation: 36+17=53 Current State: 90:[3, 69, 53], Operations: ['36+17=53'] Exploring Operation: 3*53=159, Resulting Numbers: [69, 159] Generated Node #3: [69, 159] from Operation: 3*53=159 Current State: 90:[69, 159], Operations: ['36+17=53', '3*53=159'] Exploring Operation: 159-69=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 59, 86, 2, 32 ]
91
[ "86-59=27", "2*32=64", "27+64=91" ]
Current State: 91:[59, 86, 2, 32], Operations: [] Exploring Operation: 86-59=27, Resulting Numbers: [2, 32, 27] Generated Node #2: [2, 32, 27] from Operation: 86-59=27 Current State: 91:[2, 32, 27], Operations: ['86-59=27'] Exploring Operation: 2*32=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 2*32=64 Current State: 91:[27, 64], Operations: ['86-59=27', '2*32=64'] Exploring Operation: 27+64=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 74, 93, 8, 9 ]
80
[ "93-74=19", "19-9=10", "8*10=80" ]
Current State: 80:[74, 93, 8, 9], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [8, 9, 19] Generated Node #2: [8, 9, 19] from Operation: 93-74=19 Current State: 80:[8, 9, 19], Operations: ['93-74=19'] Exploring Operation: 19-9=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 19-9=10 Current State: 80:[8, 10], Operations: ['93-74=19', '19-9=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 3, 12, 75 ]
64
[ "75-3=72", "72/12=6", "58+6=64" ]
Current State: 64:[58, 3, 12, 75], Operations: [] Exploring Operation: 75-3=72, Resulting Numbers: [58, 12, 72] Generated Node #2: [58, 12, 72] from Operation: 75-3=72 Current State: 64:[58, 12, 72], Operations: ['75-3=72'] Exploring Operation: 72/12=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 72/12=6 Current State: 64:[58, 6], Operations: ['75-3=72', '72/12=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 29, 85, 8 ]
46
[ "20*8=160", "29+85=114", "160-114=46" ]
Current State: 46:[20, 29, 85, 8], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [29, 85, 160] Generated Node #2: [29, 85, 160] from Operation: 20*8=160 Current State: 46:[29, 85, 160], Operations: ['20*8=160'] Exploring Operation: 29+85=114, Resulting Numbers: [160, 114] Generated Node #3: [160, 114] from Operation: 29+85=114 Current State: 46:[160, 114], Operations: ['20*8=160', '29+85=114'] Exploring Operation: 160-114=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 68, 39, 52 ]
59
[ "68-36=32", "39+52=91", "91-32=59" ]
Current State: 59:[36, 68, 39, 52], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [39, 52, 32] Generated Node #2: [39, 52, 32] from Operation: 68-36=32 Current State: 59:[39, 52, 32], Operations: ['68-36=32'] Exploring Operation: 39+52=91, Resulting Numbers: [32, 91] Generated Node #3: [32, 91] from Operation: 39+52=91 Current State: 59:[32, 91], Operations: ['68-36=32', '39+52=91'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 14, 64, 29 ]
96
[ "29-14=15", "64*15=960", "960/10=96" ]
Current State: 96:[10, 14, 64, 29], Operations: [] Exploring Operation: 29-14=15, Resulting Numbers: [10, 64, 15] Generated Node #2: [10, 64, 15] from Operation: 29-14=15 Current State: 96:[10, 64, 15], Operations: ['29-14=15'] Exploring Operation: 64*15=960, Resulting Numbers: [10, 960] Generated Node #3: [10, 960] from Operation: 64*15=960 Current State: 96:[10, 960], Operations: ['29-14=15', '64*15=960'] Exploring Operation: 960/10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 22, 68, 29 ]
41
[ "68/2=34", "29-22=7", "34+7=41" ]
Current State: 41:[2, 22, 68, 29], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [22, 29, 34] Generated Node #2: [22, 29, 34] from Operation: 68/2=34 Current State: 41:[22, 29, 34], Operations: ['68/2=34'] Exploring Operation: 29-22=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 29-22=7 Current State: 41:[34, 7], Operations: ['68/2=34', '29-22=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 42, 73, 25 ]
34
[ "75-73=2", "42-25=17", "2*17=34" ]
Current State: 34:[75, 42, 73, 25], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [42, 25, 2] Generated Node #2: [42, 25, 2] from Operation: 75-73=2 Current State: 34:[42, 25, 2], Operations: ['75-73=2'] Exploring Operation: 42-25=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 42-25=17 Current State: 34:[2, 17], Operations: ['75-73=2', '42-25=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 65, 73, 69, 41 ]
99
[ "73-69=4", "41*4=164", "164-65=99" ]
Current State: 99:[65, 73, 69, 41], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [65, 41, 4] Generated Node #2: [65, 41, 4] from Operation: 73-69=4 Current State: 99:[65, 41, 4], Operations: ['73-69=4'] Exploring Operation: 41*4=164, Resulting Numbers: [65, 164] Generated Node #3: [65, 164] from Operation: 41*4=164 Current State: 99:[65, 164], Operations: ['73-69=4', '41*4=164'] Exploring Operation: 164-65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 38, 69, 74 ]
81
[ "74-38=36", "36/3=12", "69+12=81" ]
Current State: 81:[3, 38, 69, 74], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [3, 69, 36] Generated Node #2: [3, 69, 36] from Operation: 74-38=36 Current State: 81:[3, 69, 36], Operations: ['74-38=36'] Exploring Operation: 36/3=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 36/3=12 Current State: 81:[69, 12], Operations: ['74-38=36', '36/3=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 55, 4, 58 ]
49
[ "83+55=138", "58+138=196", "196/4=49" ]
Current State: 49:[83, 55, 4, 58], Operations: [] Exploring Operation: 83+55=138, Resulting Numbers: [4, 58, 138] Generated Node #2: [4, 58, 138] from Operation: 83+55=138 Current State: 49:[4, 58, 138], Operations: ['83+55=138'] Exploring Operation: 58+138=196, Resulting Numbers: [4, 196] Generated Node #3: [4, 196] from Operation: 58+138=196 Current State: 49:[4, 196], Operations: ['83+55=138', '58+138=196'] Exploring Operation: 196/4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 56, 4, 8 ]
24
[ "19*8=152", "152-56=96", "96/4=24" ]
Current State: 24:[19, 56, 4, 8], Operations: [] Exploring Operation: 19*8=152, Resulting Numbers: [56, 4, 152] Generated Node #2: [56, 4, 152] from Operation: 19*8=152 Current State: 24:[56, 4, 152], Operations: ['19*8=152'] Exploring Operation: 152-56=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 152-56=96 Current State: 24:[4, 96], Operations: ['19*8=152', '152-56=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 31, 13, 93 ]
34
[ "15+31=46", "93-13=80", "80-46=34" ]
Current State: 34:[15, 31, 13, 93], Operations: [] Exploring Operation: 15+31=46, Resulting Numbers: [13, 93, 46] Generated Node #2: [13, 93, 46] from Operation: 15+31=46 Current State: 34:[13, 93, 46], Operations: ['15+31=46'] Exploring Operation: 93-13=80, Resulting Numbers: [46, 80] Generated Node #3: [46, 80] from Operation: 93-13=80 Current State: 34:[46, 80], Operations: ['15+31=46', '93-13=80'] Exploring Operation: 80-46=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 68, 82, 30, 97 ]
66
[ "97-82=15", "30/15=2", "68-2=66" ]
Current State: 66:[68, 82, 30, 97], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [68, 30, 15] Generated Node #2: [68, 30, 15] from Operation: 97-82=15 Current State: 66:[68, 30, 15], Operations: ['97-82=15'] Exploring Operation: 30/15=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 30/15=2 Current State: 66:[68, 2], Operations: ['97-82=15', '30/15=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 72, 66, 12, 62 ]
33
[ "72-12=60", "62-60=2", "66/2=33" ]
Current State: 33:[72, 66, 12, 62], Operations: [] Exploring Operation: 72-12=60, Resulting Numbers: [66, 62, 60] Generated Node #2: [66, 62, 60] from Operation: 72-12=60 Current State: 33:[66, 62, 60], Operations: ['72-12=60'] Exploring Operation: 62-60=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 62-60=2 Current State: 33:[66, 2], Operations: ['72-12=60', '62-60=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 40, 98, 48 ]
10
[ "96+40=136", "98+48=146", "146-136=10" ]
Current State: 10:[96, 40, 98, 48], Operations: [] Exploring Operation: 96+40=136, Resulting Numbers: [98, 48, 136] Generated Node #2: [98, 48, 136] from Operation: 96+40=136 Current State: 10:[98, 48, 136], Operations: ['96+40=136'] Exploring Operation: 98+48=146, Resulting Numbers: [136, 146] Generated Node #3: [136, 146] from Operation: 98+48=146 Current State: 10:[136, 146], Operations: ['96+40=136', '98+48=146'] Exploring Operation: 146-136=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 68, 32, 35, 95 ]
24
[ "68-32=36", "95-35=60", "60-36=24" ]
Current State: 24:[68, 32, 35, 95], Operations: [] Exploring Operation: 68-32=36, Resulting Numbers: [35, 95, 36] Generated Node #2: [35, 95, 36] from Operation: 68-32=36 Current State: 24:[35, 95, 36], Operations: ['68-32=36'] Exploring Operation: 95-35=60, Resulting Numbers: [36, 60] Generated Node #3: [36, 60] from Operation: 95-35=60 Current State: 24:[36, 60], Operations: ['68-32=36', '95-35=60'] Exploring Operation: 60-36=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 7, 87, 1 ]
62
[ "32-7=25", "87*1=87", "87-25=62" ]
Current State: 62:[32, 7, 87, 1], Operations: [] Exploring Operation: 32-7=25, Resulting Numbers: [87, 1, 25] Generated Node #2: [87, 1, 25] from Operation: 32-7=25 Current State: 62:[87, 1, 25], Operations: ['32-7=25'] Exploring Operation: 87*1=87, Resulting Numbers: [25, 87] Generated Node #3: [25, 87] from Operation: 87*1=87 Current State: 62:[25, 87], Operations: ['32-7=25', '87*1=87'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 38, 3, 70, 2 ]
54
[ "38/2=19", "3+70=73", "73-19=54" ]
Current State: 54:[38, 3, 70, 2], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [3, 70, 19] Generated Node #2: [3, 70, 19] from Operation: 38/2=19 Current State: 54:[3, 70, 19], Operations: ['38/2=19'] Exploring Operation: 3+70=73, Resulting Numbers: [19, 73] Generated Node #3: [19, 73] from Operation: 3+70=73 Current State: 54:[19, 73], Operations: ['38/2=19', '3+70=73'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 25, 93, 37 ]
56
[ "25+37=62", "84*62=5208", "5208/93=56" ]
Current State: 56:[84, 25, 93, 37], Operations: [] Exploring Operation: 25+37=62, Resulting Numbers: [84, 93, 62] Generated Node #2: [84, 93, 62] from Operation: 25+37=62 Current State: 56:[84, 93, 62], Operations: ['25+37=62'] Exploring Operation: 84*62=5208, Resulting Numbers: [93, 5208] Generated Node #3: [93, 5208] from Operation: 84*62=5208 Current State: 56:[93, 5208], Operations: ['25+37=62', '84*62=5208'] Exploring Operation: 5208/93=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 37, 41, 27, 40 ]
11
[ "37+41=78", "27+40=67", "78-67=11" ]
Current State: 11:[37, 41, 27, 40], Operations: [] Exploring Operation: 37+41=78, Resulting Numbers: [27, 40, 78] Generated Node #2: [27, 40, 78] from Operation: 37+41=78 Current State: 11:[27, 40, 78], Operations: ['37+41=78'] Exploring Operation: 27+40=67, Resulting Numbers: [78, 67] Generated Node #3: [78, 67] from Operation: 27+40=67 Current State: 11:[78, 67], Operations: ['37+41=78', '27+40=67'] Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 30, 64, 94, 33 ]
33
[ "30+64=94", "94+33=127", "127-94=33" ]
Current State: 33:[30, 64, 94, 33], Operations: [] Exploring Operation: 30+64=94, Resulting Numbers: [94, 33, 94] Generated Node #2: [94, 33, 94] from Operation: 30+64=94 Current State: 33:[94, 33, 94], Operations: ['30+64=94'] Exploring Operation: 94+33=127, Resulting Numbers: [127] 127,33 equal: Goal Reached Exploring Operation: 127-94=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 51, 69, 63, 12 ]
53
[ "51+69=120", "120/12=10", "63-10=53" ]
Current State: 53:[51, 69, 63, 12], Operations: [] Exploring Operation: 51+69=120, Resulting Numbers: [63, 12, 120] Generated Node #2: [63, 12, 120] from Operation: 51+69=120 Current State: 53:[63, 12, 120], Operations: ['51+69=120'] Exploring Operation: 120/12=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 120/12=10 Current State: 53:[63, 10], Operations: ['51+69=120', '120/12=10'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 58, 2, 10 ]
10
[ "84/2=42", "58+42=100", "100/10=10" ]
Current State: 10:[84, 58, 2, 10], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [58, 10, 42] Generated Node #2: [58, 10, 42] from Operation: 84/2=42 Current State: 10:[58, 10, 42], Operations: ['84/2=42'] Exploring Operation: 58+42=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 58+42=100 Current State: 10:[10, 100], Operations: ['84/2=42', '58+42=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 7, 74, 3, 91 ]
13
[ "7+74=81", "3+91=94", "94-81=13" ]
Current State: 13:[7, 74, 3, 91], Operations: [] Exploring Operation: 7+74=81, Resulting Numbers: [3, 91, 81] Generated Node #2: [3, 91, 81] from Operation: 7+74=81 Current State: 13:[3, 91, 81], Operations: ['7+74=81'] Exploring Operation: 3+91=94, Resulting Numbers: [81, 94] Generated Node #3: [81, 94] from Operation: 3+91=94 Current State: 13:[81, 94], Operations: ['7+74=81', '3+91=94'] Exploring Operation: 94-81=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 62, 57, 72, 21 ]
33
[ "62-57=5", "21*5=105", "105-72=33" ]
Current State: 33:[62, 57, 72, 21], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [72, 21, 5] Generated Node #2: [72, 21, 5] from Operation: 62-57=5 Current State: 33:[72, 21, 5], Operations: ['62-57=5'] Exploring Operation: 21*5=105, Resulting Numbers: [72, 105] Generated Node #3: [72, 105] from Operation: 21*5=105 Current State: 33:[72, 105], Operations: ['62-57=5', '21*5=105'] Exploring Operation: 105-72=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 56, 59, 6 ]
93
[ "56-28=28", "59+6=65", "28+65=93" ]
Current State: 93:[28, 56, 59, 6], Operations: [] Exploring Operation: 56-28=28, Resulting Numbers: [59, 6, 28] Generated Node #2: [59, 6, 28] from Operation: 56-28=28 Current State: 93:[59, 6, 28], Operations: ['56-28=28'] Exploring Operation: 59+6=65, Resulting Numbers: [28, 65] Generated Node #3: [28, 65] from Operation: 59+6=65 Current State: 93:[28, 65], Operations: ['56-28=28', '59+6=65'] Exploring Operation: 28+65=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 74, 14, 38, 30 ]
13
[ "14*30=420", "74+420=494", "494/38=13" ]
Current State: 13:[74, 14, 38, 30], Operations: [] Exploring Operation: 14*30=420, Resulting Numbers: [74, 38, 420] Generated Node #2: [74, 38, 420] from Operation: 14*30=420 Current State: 13:[74, 38, 420], Operations: ['14*30=420'] Exploring Operation: 74+420=494, Resulting Numbers: [38, 494] Generated Node #3: [38, 494] from Operation: 74+420=494 Current State: 13:[38, 494], Operations: ['14*30=420', '74+420=494'] Exploring Operation: 494/38=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 87, 87, 84, 31 ]
52
[ "87/87=1", "84-31=53", "53-1=52" ]
Current State: 52:[87, 87, 84, 31], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [84, 31, 1] Generated Node #2: [84, 31, 1] from Operation: 87/87=1 Current State: 52:[84, 31, 1], Operations: ['87/87=1'] Exploring Operation: 84-31=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 84-31=53 Current State: 52:[1, 53], Operations: ['87/87=1', '84-31=53'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 30, 48, 34 ]
60
[ "5*48=240", "34-30=4", "240/4=60" ]
Current State: 60:[5, 30, 48, 34], Operations: [] Exploring Operation: 5*48=240, Resulting Numbers: [30, 34, 240] Generated Node #2: [30, 34, 240] from Operation: 5*48=240 Current State: 60:[30, 34, 240], Operations: ['5*48=240'] Exploring Operation: 34-30=4, Resulting Numbers: [240, 4] Generated Node #3: [240, 4] from Operation: 34-30=4 Current State: 60:[240, 4], Operations: ['5*48=240', '34-30=4'] Exploring Operation: 240/4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 42, 95, 8 ]
100
[ "45-42=3", "95+8=103", "103-3=100" ]
Current State: 100:[45, 42, 95, 8], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [95, 8, 3] Generated Node #2: [95, 8, 3] from Operation: 45-42=3 Current State: 100:[95, 8, 3], Operations: ['45-42=3'] Exploring Operation: 95+8=103, Resulting Numbers: [3, 103] Generated Node #3: [3, 103] from Operation: 95+8=103 Current State: 100:[3, 103], Operations: ['45-42=3', '95+8=103'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 42, 96, 12 ]
24
[ "18+42=60", "96-12=84", "84-60=24" ]
Current State: 24:[18, 42, 96, 12], Operations: [] Exploring Operation: 18+42=60, Resulting Numbers: [96, 12, 60] Generated Node #2: [96, 12, 60] from Operation: 18+42=60 Current State: 24:[96, 12, 60], Operations: ['18+42=60'] Exploring Operation: 96-12=84, Resulting Numbers: [60, 84] Generated Node #3: [60, 84] from Operation: 96-12=84 Current State: 24:[60, 84], Operations: ['18+42=60', '96-12=84'] Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 68, 2, 24, 91 ]
71
[ "91-68=23", "2*24=48", "23+48=71" ]
Current State: 71:[68, 2, 24, 91], Operations: [] Exploring Operation: 91-68=23, Resulting Numbers: [2, 24, 23] Generated Node #2: [2, 24, 23] from Operation: 91-68=23 Current State: 71:[2, 24, 23], Operations: ['91-68=23'] Exploring Operation: 2*24=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 2*24=48 Current State: 71:[23, 48], Operations: ['91-68=23', '2*24=48'] Exploring Operation: 23+48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 25, 10, 20 ]
71
[ "98-25=73", "20/10=2", "73-2=71" ]
Current State: 71:[98, 25, 10, 20], Operations: [] Exploring Operation: 98-25=73, Resulting Numbers: [10, 20, 73] Generated Node #2: [10, 20, 73] from Operation: 98-25=73 Current State: 71:[10, 20, 73], Operations: ['98-25=73'] Exploring Operation: 20/10=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 20/10=2 Current State: 71:[73, 2], Operations: ['98-25=73', '20/10=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 94, 96, 3, 91 ]
83
[ "94+96=190", "3*91=273", "273-190=83" ]
Current State: 83:[94, 96, 3, 91], Operations: [] Exploring Operation: 94+96=190, Resulting Numbers: [3, 91, 190] Generated Node #2: [3, 91, 190] from Operation: 94+96=190 Current State: 83:[3, 91, 190], Operations: ['94+96=190'] Exploring Operation: 3*91=273, Resulting Numbers: [190, 273] Generated Node #3: [190, 273] from Operation: 3*91=273 Current State: 83:[190, 273], Operations: ['94+96=190', '3*91=273'] Exploring Operation: 273-190=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 95, 73, 92 ]
85
[ "95+73=168", "168/24=7", "92-7=85" ]
Current State: 85:[24, 95, 73, 92], Operations: [] Exploring Operation: 95+73=168, Resulting Numbers: [24, 92, 168] Generated Node #2: [24, 92, 168] from Operation: 95+73=168 Current State: 85:[24, 92, 168], Operations: ['95+73=168'] Exploring Operation: 168/24=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 168/24=7 Current State: 85:[92, 7], Operations: ['95+73=168', '168/24=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 30, 39, 94 ]
62
[ "34-30=4", "39*4=156", "156-94=62" ]
Current State: 62:[34, 30, 39, 94], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [39, 94, 4] Generated Node #2: [39, 94, 4] from Operation: 34-30=4 Current State: 62:[39, 94, 4], Operations: ['34-30=4'] Exploring Operation: 39*4=156, Resulting Numbers: [94, 156] Generated Node #3: [94, 156] from Operation: 39*4=156 Current State: 62:[94, 156], Operations: ['34-30=4', '39*4=156'] Exploring Operation: 156-94=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 26, 94, 13, 83 ]
36
[ "26/13=2", "94/2=47", "83-47=36" ]
Current State: 36:[26, 94, 13, 83], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [94, 83, 2] Generated Node #2: [94, 83, 2] from Operation: 26/13=2 Current State: 36:[94, 83, 2], Operations: ['26/13=2'] Exploring Operation: 94/2=47, Resulting Numbers: [83, 47] Generated Node #3: [83, 47] from Operation: 94/2=47 Current State: 36:[83, 47], Operations: ['26/13=2', '94/2=47'] Exploring Operation: 83-47=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 56, 70, 43, 50 ]
79
[ "70-56=14", "43+50=93", "93-14=79" ]
Current State: 79:[56, 70, 43, 50], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [43, 50, 14] Generated Node #2: [43, 50, 14] from Operation: 70-56=14 Current State: 79:[43, 50, 14], Operations: ['70-56=14'] Exploring Operation: 43+50=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 43+50=93 Current State: 79:[14, 93], Operations: ['70-56=14', '43+50=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 48, 7, 91, 28 ]
51
[ "91-7=84", "84/28=3", "48+3=51" ]
Current State: 51:[48, 7, 91, 28], Operations: [] Exploring Operation: 91-7=84, Resulting Numbers: [48, 28, 84] Generated Node #2: [48, 28, 84] from Operation: 91-7=84 Current State: 51:[48, 28, 84], Operations: ['91-7=84'] Exploring Operation: 84/28=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 84/28=3 Current State: 51:[48, 3], Operations: ['91-7=84', '84/28=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 92, 72, 20, 49 ]
49
[ "92-72=20", "20+49=69", "69-20=49" ]
Current State: 49:[92, 72, 20, 49], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [20, 49, 20] Generated Node #2: [20, 49, 20] from Operation: 92-72=20 Current State: 49:[20, 49, 20], Operations: ['92-72=20'] Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,49 equal: Goal Reached Exploring Operation: 69-20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 92, 5, 8 ]
88
[ "92-37=55", "55/5=11", "8*11=88" ]
Current State: 88:[37, 92, 5, 8], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [5, 8, 55] Generated Node #2: [5, 8, 55] from Operation: 92-37=55 Current State: 88:[5, 8, 55], Operations: ['92-37=55'] Exploring Operation: 55/5=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 55/5=11 Current State: 88:[8, 11], Operations: ['92-37=55', '55/5=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 63, 46, 36, 80 ]
61
[ "63-46=17", "80-36=44", "17+44=61" ]
Current State: 61:[63, 46, 36, 80], Operations: [] Exploring Operation: 63-46=17, Resulting Numbers: [36, 80, 17] Generated Node #2: [36, 80, 17] from Operation: 63-46=17 Current State: 61:[36, 80, 17], Operations: ['63-46=17'] Exploring Operation: 80-36=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 80-36=44 Current State: 61:[17, 44], Operations: ['63-46=17', '80-36=44'] Exploring Operation: 17+44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 64, 5, 2, 7 ]
40
[ "5+7=12", "2*12=24", "64-24=40" ]
Current State: 40:[64, 5, 2, 7], Operations: [] Exploring Operation: 5+7=12, Resulting Numbers: [64, 2, 12] Generated Node #2: [64, 2, 12] from Operation: 5+7=12 Current State: 40:[64, 2, 12], Operations: ['5+7=12'] Exploring Operation: 2*12=24, Resulting Numbers: [64, 24] Generated Node #3: [64, 24] from Operation: 2*12=24 Current State: 40:[64, 24], Operations: ['5+7=12', '2*12=24'] Exploring Operation: 64-24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 62, 28, 77 ]
48
[ "62-5=57", "28+77=105", "105-57=48" ]
Current State: 48:[5, 62, 28, 77], Operations: [] Exploring Operation: 62-5=57, Resulting Numbers: [28, 77, 57] Generated Node #2: [28, 77, 57] from Operation: 62-5=57 Current State: 48:[28, 77, 57], Operations: ['62-5=57'] Exploring Operation: 28+77=105, Resulting Numbers: [57, 105] Generated Node #3: [57, 105] from Operation: 28+77=105 Current State: 48:[57, 105], Operations: ['62-5=57', '28+77=105'] Exploring Operation: 105-57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 60, 54, 38 ]
69
[ "60-37=23", "54+38=92", "92-23=69" ]
Current State: 69:[37, 60, 54, 38], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [54, 38, 23] Generated Node #2: [54, 38, 23] from Operation: 60-37=23 Current State: 69:[54, 38, 23], Operations: ['60-37=23'] Exploring Operation: 54+38=92, Resulting Numbers: [23, 92] Generated Node #3: [23, 92] from Operation: 54+38=92 Current State: 69:[23, 92], Operations: ['60-37=23', '54+38=92'] Exploring Operation: 92-23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 91, 4, 28, 43 ]
40
[ "91-43=48", "48/4=12", "28+12=40" ]
Current State: 40:[91, 4, 28, 43], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [4, 28, 48] Generated Node #2: [4, 28, 48] from Operation: 91-43=48 Current State: 40:[4, 28, 48], Operations: ['91-43=48'] Exploring Operation: 48/4=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 48/4=12 Current State: 40:[28, 12], Operations: ['91-43=48', '48/4=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 1, 9, 52, 32 ]
93
[ "1*9=9", "52+32=84", "9+84=93" ]
Current State: 93:[1, 9, 52, 32], Operations: [] Exploring Operation: 1*9=9, Resulting Numbers: [52, 32, 9] Generated Node #2: [52, 32, 9] from Operation: 1*9=9 Current State: 93:[52, 32, 9], Operations: ['1*9=9'] Exploring Operation: 52+32=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 52+32=84 Current State: 93:[9, 84], Operations: ['1*9=9', '52+32=84'] Exploring Operation: 9+84=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 70, 26, 19, 20 ]
97
[ "70+26=96", "20-19=1", "96+1=97" ]
Current State: 97:[70, 26, 19, 20], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [19, 20, 96] Generated Node #2: [19, 20, 96] from Operation: 70+26=96 Current State: 97:[19, 20, 96], Operations: ['70+26=96'] Exploring Operation: 20-19=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 20-19=1 Current State: 97:[96, 1], Operations: ['70+26=96', '20-19=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 2, 48, 6 ]
42
[ "48+2=50", "48/6=8", "50-8=42" ]
Current State: 42:[48, 2, 48, 6], Operations: [] Exploring Operation: 48+2=50, Resulting Numbers: [6, 50] Generated Node #2: [6, 50] from Operation: 48+2=50 Current State: 42:[6, 50], Operations: ['48+2=50'] Exploring Operation: 48/6=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 48/6=8 Current State: 42:[50, 8], Operations: ['48+2=50', '48/6=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 11, 11, 5 ]
70
[ "36-11=25", "25-11=14", "5*14=70" ]
Current State: 70:[36, 11, 11, 5], Operations: [] Exploring Operation: 36-11=25, Resulting Numbers: [5, 25] Generated Node #2: [5, 25] from Operation: 36-11=25 Current State: 70:[5, 25], Operations: ['36-11=25'] Exploring Operation: 25-11=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 25-11=14 Current State: 70:[5, 14], Operations: ['36-11=25', '25-11=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 32, 10, 23 ]
46
[ "84*23=1932", "32+10=42", "1932/42=46" ]
Current State: 46:[84, 32, 10, 23], Operations: [] Exploring Operation: 84*23=1932, Resulting Numbers: [32, 10, 1932] Generated Node #2: [32, 10, 1932] from Operation: 84*23=1932 Current State: 46:[32, 10, 1932], Operations: ['84*23=1932'] Exploring Operation: 32+10=42, Resulting Numbers: [1932, 42] Generated Node #3: [1932, 42] from Operation: 32+10=42 Current State: 46:[1932, 42], Operations: ['84*23=1932', '32+10=42'] Exploring Operation: 1932/42=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 71, 14, 2, 39 ]
36
[ "71-14=57", "57-39=18", "2*18=36" ]
Current State: 36:[71, 14, 2, 39], Operations: [] Exploring Operation: 71-14=57, Resulting Numbers: [2, 39, 57] Generated Node #2: [2, 39, 57] from Operation: 71-14=57 Current State: 36:[2, 39, 57], Operations: ['71-14=57'] Exploring Operation: 57-39=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 57-39=18 Current State: 36:[2, 18], Operations: ['71-14=57', '57-39=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 60, 72, 26 ]
45
[ "70+26=96", "60*72=4320", "4320/96=45" ]
Current State: 45:[70, 60, 72, 26], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [60, 72, 96] Generated Node #2: [60, 72, 96] from Operation: 70+26=96 Current State: 45:[60, 72, 96], Operations: ['70+26=96'] Exploring Operation: 60*72=4320, Resulting Numbers: [96, 4320] Generated Node #3: [96, 4320] from Operation: 60*72=4320 Current State: 45:[96, 4320], Operations: ['70+26=96', '60*72=4320'] Exploring Operation: 4320/96=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 98, 54, 33, 9 ]
68
[ "98-54=44", "33-9=24", "44+24=68" ]
Current State: 68:[98, 54, 33, 9], Operations: [] Exploring Operation: 98-54=44, Resulting Numbers: [33, 9, 44] Generated Node #2: [33, 9, 44] from Operation: 98-54=44 Current State: 68:[33, 9, 44], Operations: ['98-54=44'] Exploring Operation: 33-9=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 33-9=24 Current State: 68:[44, 24], Operations: ['98-54=44', '33-9=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 40, 60, 80 ]
75
[ "40+80=120", "120/60=2", "73+2=75" ]
Current State: 75:[73, 40, 60, 80], Operations: [] Exploring Operation: 40+80=120, Resulting Numbers: [73, 60, 120] Generated Node #2: [73, 60, 120] from Operation: 40+80=120 Current State: 75:[73, 60, 120], Operations: ['40+80=120'] Exploring Operation: 120/60=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 120/60=2 Current State: 75:[73, 2], Operations: ['40+80=120', '120/60=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 23, 79, 80 ]
55
[ "2*79=158", "23+80=103", "158-103=55" ]
Current State: 55:[2, 23, 79, 80], Operations: [] Exploring Operation: 2*79=158, Resulting Numbers: [23, 80, 158] Generated Node #2: [23, 80, 158] from Operation: 2*79=158 Current State: 55:[23, 80, 158], Operations: ['2*79=158'] Exploring Operation: 23+80=103, Resulting Numbers: [158, 103] Generated Node #3: [158, 103] from Operation: 23+80=103 Current State: 55:[158, 103], Operations: ['2*79=158', '23+80=103'] Exploring Operation: 158-103=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 39, 85, 11 ]
25
[ "87-85=2", "39+11=50", "50/2=25" ]
Current State: 25:[87, 39, 85, 11], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [39, 11, 2] Generated Node #2: [39, 11, 2] from Operation: 87-85=2 Current State: 25:[39, 11, 2], Operations: ['87-85=2'] Exploring Operation: 39+11=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 39+11=50 Current State: 25:[2, 50], Operations: ['87-85=2', '39+11=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 71, 18, 51 ]
57
[ "95-71=24", "51-18=33", "24+33=57" ]
Current State: 57:[95, 71, 18, 51], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [18, 51, 24] Generated Node #2: [18, 51, 24] from Operation: 95-71=24 Current State: 57:[18, 51, 24], Operations: ['95-71=24'] Exploring Operation: 51-18=33, Resulting Numbers: [24, 33] Generated Node #3: [24, 33] from Operation: 51-18=33 Current State: 57:[24, 33], Operations: ['95-71=24', '51-18=33'] Exploring Operation: 24+33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 73, 87, 66, 70 ]
97
[ "73-66=7", "70/7=10", "87+10=97" ]
Current State: 97:[73, 87, 66, 70], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [87, 70, 7] Generated Node #2: [87, 70, 7] from Operation: 73-66=7 Current State: 97:[87, 70, 7], Operations: ['73-66=7'] Exploring Operation: 70/7=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 70/7=10 Current State: 97:[87, 10], Operations: ['73-66=7', '70/7=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 2, 99, 20 ]
51
[ "26+2=28", "99-20=79", "79-28=51" ]
Current State: 51:[26, 2, 99, 20], Operations: [] Exploring Operation: 26+2=28, Resulting Numbers: [99, 20, 28] Generated Node #2: [99, 20, 28] from Operation: 26+2=28 Current State: 51:[99, 20, 28], Operations: ['26+2=28'] Exploring Operation: 99-20=79, Resulting Numbers: [28, 79] Generated Node #3: [28, 79] from Operation: 99-20=79 Current State: 51:[28, 79], Operations: ['26+2=28', '99-20=79'] Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 57, 2, 20, 7 ]
69
[ "20-2=18", "7*18=126", "126-57=69" ]
Current State: 69:[57, 2, 20, 7], Operations: [] Exploring Operation: 20-2=18, Resulting Numbers: [57, 7, 18] Generated Node #2: [57, 7, 18] from Operation: 20-2=18 Current State: 69:[57, 7, 18], Operations: ['20-2=18'] Exploring Operation: 7*18=126, Resulting Numbers: [57, 126] Generated Node #3: [57, 126] from Operation: 7*18=126 Current State: 69:[57, 126], Operations: ['20-2=18', '7*18=126'] Exploring Operation: 126-57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 64, 48, 23, 41 ]
24
[ "41-23=18", "64*18=1152", "1152/48=24" ]
Current State: 24:[64, 48, 23, 41], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [64, 48, 18] Generated Node #2: [64, 48, 18] from Operation: 41-23=18 Current State: 24:[64, 48, 18], Operations: ['41-23=18'] Exploring Operation: 64*18=1152, Resulting Numbers: [48, 1152] Generated Node #3: [48, 1152] from Operation: 64*18=1152 Current State: 24:[48, 1152], Operations: ['41-23=18', '64*18=1152'] Exploring Operation: 1152/48=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 35, 91, 2 ]
64
[ "60-35=25", "91-2=89", "89-25=64" ]
Current State: 64:[60, 35, 91, 2], Operations: [] Exploring Operation: 60-35=25, Resulting Numbers: [91, 2, 25] Generated Node #2: [91, 2, 25] from Operation: 60-35=25 Current State: 64:[91, 2, 25], Operations: ['60-35=25'] Exploring Operation: 91-2=89, Resulting Numbers: [25, 89] Generated Node #3: [25, 89] from Operation: 91-2=89 Current State: 64:[25, 89], Operations: ['60-35=25', '91-2=89'] Exploring Operation: 89-25=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 27, 3, 56 ]
69
[ "72+27=99", "3*56=168", "168-99=69" ]
Current State: 69:[72, 27, 3, 56], Operations: [] Exploring Operation: 72+27=99, Resulting Numbers: [3, 56, 99] Generated Node #2: [3, 56, 99] from Operation: 72+27=99 Current State: 69:[3, 56, 99], Operations: ['72+27=99'] Exploring Operation: 3*56=168, Resulting Numbers: [99, 168] Generated Node #3: [99, 168] from Operation: 3*56=168 Current State: 69:[99, 168], Operations: ['72+27=99', '3*56=168'] Exploring Operation: 168-99=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 42, 22, 21, 60 ]
59
[ "42-22=20", "60-21=39", "20+39=59" ]
Current State: 59:[42, 22, 21, 60], Operations: [] Exploring Operation: 42-22=20, Resulting Numbers: [21, 60, 20] Generated Node #2: [21, 60, 20] from Operation: 42-22=20 Current State: 59:[21, 60, 20], Operations: ['42-22=20'] Exploring Operation: 60-21=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 60-21=39 Current State: 59:[20, 39], Operations: ['42-22=20', '60-21=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 32, 34, 15 ]
61
[ "34-32=2", "15*2=30", "31+30=61" ]
Current State: 61:[31, 32, 34, 15], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [31, 15, 2] Generated Node #2: [31, 15, 2] from Operation: 34-32=2 Current State: 61:[31, 15, 2], Operations: ['34-32=2'] Exploring Operation: 15*2=30, Resulting Numbers: [31, 30] Generated Node #3: [31, 30] from Operation: 15*2=30 Current State: 61:[31, 30], Operations: ['34-32=2', '15*2=30'] Exploring Operation: 31+30=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 31, 67, 54 ]
28
[ "62+31=93", "67+54=121", "121-93=28" ]
Current State: 28:[62, 31, 67, 54], Operations: [] Exploring Operation: 62+31=93, Resulting Numbers: [67, 54, 93] Generated Node #2: [67, 54, 93] from Operation: 62+31=93 Current State: 28:[67, 54, 93], Operations: ['62+31=93'] Exploring Operation: 67+54=121, Resulting Numbers: [93, 121] Generated Node #3: [93, 121] from Operation: 67+54=121 Current State: 28:[93, 121], Operations: ['62+31=93', '67+54=121'] Exploring Operation: 121-93=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 3, 24, 45 ]
27
[ "45-10=35", "24/3=8", "35-8=27" ]
Current State: 27:[10, 3, 24, 45], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [3, 24, 35] Generated Node #2: [3, 24, 35] from Operation: 45-10=35 Current State: 27:[3, 24, 35], Operations: ['45-10=35'] Exploring Operation: 24/3=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 24/3=8 Current State: 27:[35, 8], Operations: ['45-10=35', '24/3=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 52, 93, 22, 18 ]
37
[ "93-52=41", "22-18=4", "41-4=37" ]
Current State: 37:[52, 93, 22, 18], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [22, 18, 41] Generated Node #2: [22, 18, 41] from Operation: 93-52=41 Current State: 37:[22, 18, 41], Operations: ['93-52=41'] Exploring Operation: 22-18=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 22-18=4 Current State: 37:[41, 4], Operations: ['93-52=41', '22-18=4'] Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 45, 72, 11, 4 ]
12
[ "72-45=27", "11+4=15", "27-15=12" ]
Current State: 12:[45, 72, 11, 4], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [11, 4, 27] Generated Node #2: [11, 4, 27] from Operation: 72-45=27 Current State: 12:[11, 4, 27], Operations: ['72-45=27'] Exploring Operation: 11+4=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 11+4=15 Current State: 12:[27, 15], Operations: ['72-45=27', '11+4=15'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 46, 4, 91, 73 ]
68
[ "46+4=50", "91-73=18", "50+18=68" ]
Current State: 68:[46, 4, 91, 73], Operations: [] Exploring Operation: 46+4=50, Resulting Numbers: [91, 73, 50] Generated Node #2: [91, 73, 50] from Operation: 46+4=50 Current State: 68:[91, 73, 50], Operations: ['46+4=50'] Exploring Operation: 91-73=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 91-73=18 Current State: 68:[50, 18], Operations: ['46+4=50', '91-73=18'] Exploring Operation: 50+18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 95, 19, 47, 80 ]
43
[ "95-19=76", "80-47=33", "76-33=43" ]
Current State: 43:[95, 19, 47, 80], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [47, 80, 76] Generated Node #2: [47, 80, 76] from Operation: 95-19=76 Current State: 43:[47, 80, 76], Operations: ['95-19=76'] Exploring Operation: 80-47=33, Resulting Numbers: [76, 33] Generated Node #3: [76, 33] from Operation: 80-47=33 Current State: 43:[76, 33], Operations: ['95-19=76', '80-47=33'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 42, 42, 55, 94 ]
40
[ "42/42=1", "94-55=39", "1+39=40" ]
Current State: 40:[42, 42, 55, 94], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [55, 94, 1] Generated Node #2: [55, 94, 1] from Operation: 42/42=1 Current State: 40:[55, 94, 1], Operations: ['42/42=1'] Exploring Operation: 94-55=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 94-55=39 Current State: 40:[1, 39], Operations: ['42/42=1', '94-55=39'] Exploring Operation: 1+39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 16, 88, 73 ]
93
[ "62+16=78", "88-73=15", "78+15=93" ]
Current State: 93:[62, 16, 88, 73], Operations: [] Exploring Operation: 62+16=78, Resulting Numbers: [88, 73, 78] Generated Node #2: [88, 73, 78] from Operation: 62+16=78 Current State: 93:[88, 73, 78], Operations: ['62+16=78'] Exploring Operation: 88-73=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 88-73=15 Current State: 93:[78, 15], Operations: ['62+16=78', '88-73=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4