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
[ 49, 47, 46, 43 ]
45
[ "49+43=92", "92/46=2", "47-2=45" ]
Current State: 45:[49, 47, 46, 43], Operations: [] Exploring Operation: 49+43=92, Resulting Numbers: [47, 46, 92] Generated Node #2: [47, 46, 92] from Operation: 49+43=92 Current State: 45:[47, 46, 92], Operations: ['49+43=92'] Exploring Operation: 92/46=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 92/46=2 Current State: 45:[47, 2], Operations: ['49+43=92', '92/46=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 93, 90, 52, 95 ]
97
[ "95-93=2", "90/2=45", "52+45=97" ]
Current State: 97:[93, 90, 52, 95], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [90, 52, 2] Generated Node #2: [90, 52, 2] from Operation: 95-93=2 Current State: 97:[90, 52, 2], Operations: ['95-93=2'] Exploring Operation: 90/2=45, Resulting Numbers: [52, 45] Generated Node #3: [52, 45] from Operation: 90/2=45 Current State: 97:[52, 45], Operations: ['95-93=2', '90/2=45'] Exploring Operation: 52+45=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 63, 2, 25 ]
88
[ "2+63=65", "25-2=23", "65+23=88" ]
Current State: 88:[2, 63, 2, 25], Operations: [] Exploring Operation: 2+63=65, Resulting Numbers: [25, 65] Generated Node #2: [25, 65] from Operation: 2+63=65 Current State: 88:[25, 65], Operations: ['2+63=65'] Exploring Operation: 25-2=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 25-2=23 Current State: 88:[65, 23], Operations: ['2+63=65', '25-2=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 22, 8, 92, 96 ]
21
[ "22*92=2024", "2024-8=2016", "2016/96=21" ]
Current State: 21:[22, 8, 92, 96], Operations: [] Exploring Operation: 22*92=2024, Resulting Numbers: [8, 96, 2024] Generated Node #2: [8, 96, 2024] from Operation: 22*92=2024 Current State: 21:[8, 96, 2024], Operations: ['22*92=2024'] Exploring Operation: 2024-8=2016, Resulting Numbers: [96, 2016] Generated Node #3: [96, 2016] from Operation: 2024-8=2016 Current State: 21:[96, 2016], Operations: ['22*92=2024', '2024-8=2016'] Exploring Operation: 2016/96=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 59, 76, 9 ]
51
[ "9-6=3", "76-59=17", "3*17=51" ]
Current State: 51:[6, 59, 76, 9], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [59, 76, 3] Generated Node #2: [59, 76, 3] from Operation: 9-6=3 Current State: 51:[59, 76, 3], Operations: ['9-6=3'] Exploring Operation: 76-59=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 76-59=17 Current State: 51:[3, 17], Operations: ['9-6=3', '76-59=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 87, 25, 46, 72 ]
86
[ "87+25=112", "72-46=26", "112-26=86" ]
Current State: 86:[87, 25, 46, 72], Operations: [] Exploring Operation: 87+25=112, Resulting Numbers: [46, 72, 112] Generated Node #2: [46, 72, 112] from Operation: 87+25=112 Current State: 86:[46, 72, 112], Operations: ['87+25=112'] Exploring Operation: 72-46=26, Resulting Numbers: [112, 26] Generated Node #3: [112, 26] from Operation: 72-46=26 Current State: 86:[112, 26], Operations: ['87+25=112', '72-46=26'] Exploring Operation: 112-26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 35, 27, 82 ]
86
[ "35-27=8", "21*8=168", "168-82=86" ]
Current State: 86:[21, 35, 27, 82], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [21, 82, 8] Generated Node #2: [21, 82, 8] from Operation: 35-27=8 Current State: 86:[21, 82, 8], Operations: ['35-27=8'] Exploring Operation: 21*8=168, Resulting Numbers: [82, 168] Generated Node #3: [82, 168] from Operation: 21*8=168 Current State: 86:[82, 168], Operations: ['35-27=8', '21*8=168'] Exploring Operation: 168-82=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 1, 98, 75 ]
83
[ "91-1=90", "98+75=173", "173-90=83" ]
Current State: 83:[91, 1, 98, 75], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [98, 75, 90] Generated Node #2: [98, 75, 90] from Operation: 91-1=90 Current State: 83:[98, 75, 90], Operations: ['91-1=90'] Exploring Operation: 98+75=173, Resulting Numbers: [90, 173] Generated Node #3: [90, 173] from Operation: 98+75=173 Current State: 83:[90, 173], Operations: ['91-1=90', '98+75=173'] Exploring Operation: 173-90=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 72, 94, 99 ]
23
[ "3*72=216", "94+99=193", "216-193=23" ]
Current State: 23:[3, 72, 94, 99], Operations: [] Exploring Operation: 3*72=216, Resulting Numbers: [94, 99, 216] Generated Node #2: [94, 99, 216] from Operation: 3*72=216 Current State: 23:[94, 99, 216], Operations: ['3*72=216'] Exploring Operation: 94+99=193, Resulting Numbers: [216, 193] Generated Node #3: [216, 193] from Operation: 94+99=193 Current State: 23:[216, 193], Operations: ['3*72=216', '94+99=193'] Exploring Operation: 216-193=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 41, 22, 36, 15 ]
53
[ "41-36=5", "15*5=75", "75-22=53" ]
Current State: 53:[41, 22, 36, 15], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [22, 15, 5] Generated Node #2: [22, 15, 5] from Operation: 41-36=5 Current State: 53:[22, 15, 5], Operations: ['41-36=5'] Exploring Operation: 15*5=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 15*5=75 Current State: 53:[22, 75], Operations: ['41-36=5', '15*5=75'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 14, 84, 17 ]
26
[ "84/14=6", "17*6=102", "102-76=26" ]
Current State: 26:[76, 14, 84, 17], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [76, 17, 6] Generated Node #2: [76, 17, 6] from Operation: 84/14=6 Current State: 26:[76, 17, 6], Operations: ['84/14=6'] Exploring Operation: 17*6=102, Resulting Numbers: [76, 102] Generated Node #3: [76, 102] from Operation: 17*6=102 Current State: 26:[76, 102], Operations: ['84/14=6', '17*6=102'] Exploring Operation: 102-76=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 53, 50, 17, 57 ]
29
[ "53+50=103", "17+57=74", "103-74=29" ]
Current State: 29:[53, 50, 17, 57], Operations: [] Exploring Operation: 53+50=103, Resulting Numbers: [17, 57, 103] Generated Node #2: [17, 57, 103] from Operation: 53+50=103 Current State: 29:[17, 57, 103], Operations: ['53+50=103'] Exploring Operation: 17+57=74, Resulting Numbers: [103, 74] Generated Node #3: [103, 74] from Operation: 17+57=74 Current State: 29:[103, 74], Operations: ['53+50=103', '17+57=74'] Exploring Operation: 103-74=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 21, 24, 67, 15 ]
37
[ "21+24=45", "67+15=82", "82-45=37" ]
Current State: 37:[21, 24, 67, 15], Operations: [] Exploring Operation: 21+24=45, Resulting Numbers: [67, 15, 45] Generated Node #2: [67, 15, 45] from Operation: 21+24=45 Current State: 37:[67, 15, 45], Operations: ['21+24=45'] Exploring Operation: 67+15=82, Resulting Numbers: [45, 82] Generated Node #3: [45, 82] from Operation: 67+15=82 Current State: 37:[45, 82], Operations: ['21+24=45', '67+15=82'] Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 72, 20, 33 ]
65
[ "72-33=39", "20*39=780", "780/12=65" ]
Current State: 65:[12, 72, 20, 33], Operations: [] Exploring Operation: 72-33=39, Resulting Numbers: [12, 20, 39] Generated Node #2: [12, 20, 39] from Operation: 72-33=39 Current State: 65:[12, 20, 39], Operations: ['72-33=39'] Exploring Operation: 20*39=780, Resulting Numbers: [12, 780] Generated Node #3: [12, 780] from Operation: 20*39=780 Current State: 65:[12, 780], Operations: ['72-33=39', '20*39=780'] Exploring Operation: 780/12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 76, 4, 75, 73 ]
34
[ "75-73=2", "76/2=38", "38-4=34" ]
Current State: 34:[76, 4, 75, 73], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [76, 4, 2] Generated Node #2: [76, 4, 2] from Operation: 75-73=2 Current State: 34:[76, 4, 2], Operations: ['75-73=2'] Exploring Operation: 76/2=38, Resulting Numbers: [4, 38] Generated Node #3: [4, 38] from Operation: 76/2=38 Current State: 34:[4, 38], Operations: ['75-73=2', '76/2=38'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 9, 2, 74 ]
17
[ "77+2=79", "74+79=153", "153/9=17" ]
Current State: 17:[77, 9, 2, 74], Operations: [] Exploring Operation: 77+2=79, Resulting Numbers: [9, 74, 79] Generated Node #2: [9, 74, 79] from Operation: 77+2=79 Current State: 17:[9, 74, 79], Operations: ['77+2=79'] Exploring Operation: 74+79=153, Resulting Numbers: [9, 153] Generated Node #3: [9, 153] from Operation: 74+79=153 Current State: 17:[9, 153], Operations: ['77+2=79', '74+79=153'] Exploring Operation: 153/9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 65, 38, 16 ]
18
[ "69-65=4", "38-16=22", "22-4=18" ]
Current State: 18:[69, 65, 38, 16], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [38, 16, 4] Generated Node #2: [38, 16, 4] from Operation: 69-65=4 Current State: 18:[38, 16, 4], Operations: ['69-65=4'] Exploring Operation: 38-16=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 38-16=22 Current State: 18:[4, 22], Operations: ['69-65=4', '38-16=22'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 94, 53, 29 ]
27
[ "15+94=109", "53+29=82", "109-82=27" ]
Current State: 27:[15, 94, 53, 29], Operations: [] Exploring Operation: 15+94=109, Resulting Numbers: [53, 29, 109] Generated Node #2: [53, 29, 109] from Operation: 15+94=109 Current State: 27:[53, 29, 109], Operations: ['15+94=109'] Exploring Operation: 53+29=82, Resulting Numbers: [109, 82] Generated Node #3: [109, 82] from Operation: 53+29=82 Current State: 27:[109, 82], Operations: ['15+94=109', '53+29=82'] Exploring Operation: 109-82=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 22, 28, 10, 28 ]
14
[ "28*10=280", "28+280=308", "308/22=14" ]
Current State: 14:[22, 28, 10, 28], Operations: [] Exploring Operation: 28*10=280, Resulting Numbers: [22, 280] Generated Node #2: [22, 280] from Operation: 28*10=280 Current State: 14:[22, 280], Operations: ['28*10=280'] Exploring Operation: 28+280=308, Resulting Numbers: [22, 308] Generated Node #3: [22, 308] from Operation: 28+280=308 Current State: 14:[22, 308], Operations: ['28*10=280', '28+280=308'] Exploring Operation: 308/22=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 99, 99, 73, 65 ]
65
[ "99-99=0", "73*0=0", "65+0=65" ]
Current State: 65:[99, 99, 73, 65], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [73, 65, 0] Generated Node #2: [73, 65, 0] from Operation: 99-99=0 Current State: 65:[73, 65, 0], Operations: ['99-99=0'] Exploring Operation: 73*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 73*0=0 Current State: 65:[65, 0], Operations: ['99-99=0', '73*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 86, 57, 98 ]
87
[ "86-40=46", "98-57=41", "46+41=87" ]
Current State: 87:[40, 86, 57, 98], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [57, 98, 46] Generated Node #2: [57, 98, 46] from Operation: 86-40=46 Current State: 87:[57, 98, 46], Operations: ['86-40=46'] Exploring Operation: 98-57=41, Resulting Numbers: [46, 41] Generated Node #3: [46, 41] from Operation: 98-57=41 Current State: 87:[46, 41], Operations: ['86-40=46', '98-57=41'] Exploring Operation: 46+41=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 50, 90, 28 ]
67
[ "50/10=5", "90-28=62", "5+62=67" ]
Current State: 67:[10, 50, 90, 28], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [90, 28, 5] Generated Node #2: [90, 28, 5] from Operation: 50/10=5 Current State: 67:[90, 28, 5], Operations: ['50/10=5'] Exploring Operation: 90-28=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 90-28=62 Current State: 67:[5, 62], Operations: ['50/10=5', '90-28=62'] Exploring Operation: 5+62=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 62, 6, 47 ]
35
[ "64-62=2", "6*2=12", "47-12=35" ]
Current State: 35:[64, 62, 6, 47], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [6, 47, 2] Generated Node #2: [6, 47, 2] from Operation: 64-62=2 Current State: 35:[6, 47, 2], Operations: ['64-62=2'] Exploring Operation: 6*2=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 6*2=12 Current State: 35:[47, 12], Operations: ['64-62=2', '6*2=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 53, 69, 3, 39 ]
52
[ "69-53=16", "39-3=36", "16+36=52" ]
Current State: 52:[53, 69, 3, 39], Operations: [] Exploring Operation: 69-53=16, Resulting Numbers: [3, 39, 16] Generated Node #2: [3, 39, 16] from Operation: 69-53=16 Current State: 52:[3, 39, 16], Operations: ['69-53=16'] Exploring Operation: 39-3=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 39-3=36 Current State: 52:[16, 36], Operations: ['69-53=16', '39-3=36'] Exploring Operation: 16+36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 5, 5, 53 ]
93
[ "15+53=68", "5*5=25", "68+25=93" ]
Current State: 93:[15, 5, 5, 53], Operations: [] Exploring Operation: 15+53=68, Resulting Numbers: [5, 5, 68] Generated Node #2: [5, 5, 68] from Operation: 15+53=68 Current State: 93:[5, 5, 68], Operations: ['15+53=68'] Exploring Operation: 5*5=25, Resulting Numbers: [68, 25] Generated Node #3: [68, 25] from Operation: 5*5=25 Current State: 93:[68, 25], Operations: ['15+53=68', '5*5=25'] Exploring Operation: 68+25=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 69, 91, 94 ]
92
[ "94-91=3", "69/3=23", "69+23=92" ]
Current State: 92:[69, 69, 91, 94], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [69, 69, 3] Generated Node #2: [69, 69, 3] from Operation: 94-91=3 Current State: 92:[69, 69, 3], Operations: ['94-91=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,92 equal: Goal Reached Exploring Operation: 69+23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 25, 85, 8, 1 ]
90
[ "8-1=7", "25*7=175", "175-85=90" ]
Current State: 90:[25, 85, 8, 1], Operations: [] Exploring Operation: 8-1=7, Resulting Numbers: [25, 85, 7] Generated Node #2: [25, 85, 7] from Operation: 8-1=7 Current State: 90:[25, 85, 7], Operations: ['8-1=7'] Exploring Operation: 25*7=175, Resulting Numbers: [85, 175] Generated Node #3: [85, 175] from Operation: 25*7=175 Current State: 90:[85, 175], Operations: ['8-1=7', '25*7=175'] Exploring Operation: 175-85=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 71, 67, 27, 61 ]
91
[ "67-61=6", "27*6=162", "162-71=91" ]
Current State: 91:[71, 67, 27, 61], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [71, 27, 6] Generated Node #2: [71, 27, 6] from Operation: 67-61=6 Current State: 91:[71, 27, 6], Operations: ['67-61=6'] Exploring Operation: 27*6=162, Resulting Numbers: [71, 162] Generated Node #3: [71, 162] from Operation: 27*6=162 Current State: 91:[71, 162], Operations: ['67-61=6', '27*6=162'] Exploring Operation: 162-71=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 92, 4, 42 ]
75
[ "56+42=98", "92/4=23", "98-23=75" ]
Current State: 75:[56, 92, 4, 42], Operations: [] Exploring Operation: 56+42=98, Resulting Numbers: [92, 4, 98] Generated Node #2: [92, 4, 98] from Operation: 56+42=98 Current State: 75:[92, 4, 98], Operations: ['56+42=98'] Exploring Operation: 92/4=23, Resulting Numbers: [98, 23] Generated Node #3: [98, 23] from Operation: 92/4=23 Current State: 75:[98, 23], Operations: ['56+42=98', '92/4=23'] Exploring Operation: 98-23=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 21, 87, 28, 54 ]
40
[ "87-21=66", "54-28=26", "66-26=40" ]
Current State: 40:[21, 87, 28, 54], Operations: [] Exploring Operation: 87-21=66, Resulting Numbers: [28, 54, 66] Generated Node #2: [28, 54, 66] from Operation: 87-21=66 Current State: 40:[28, 54, 66], Operations: ['87-21=66'] Exploring Operation: 54-28=26, Resulting Numbers: [66, 26] Generated Node #3: [66, 26] from Operation: 54-28=26 Current State: 40:[66, 26], Operations: ['87-21=66', '54-28=26'] Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 18, 52, 39, 11 ]
16
[ "52-18=34", "39+11=50", "50-34=16" ]
Current State: 16:[18, 52, 39, 11], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [39, 11, 34] Generated Node #2: [39, 11, 34] from Operation: 52-18=34 Current State: 16:[39, 11, 34], Operations: ['52-18=34'] Exploring Operation: 39+11=50, Resulting Numbers: [34, 50] Generated Node #3: [34, 50] from Operation: 39+11=50 Current State: 16:[34, 50], Operations: ['52-18=34', '39+11=50'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 94, 79, 87 ]
30
[ "94-72=22", "87-79=8", "22+8=30" ]
Current State: 30:[72, 94, 79, 87], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [79, 87, 22] Generated Node #2: [79, 87, 22] from Operation: 94-72=22 Current State: 30:[79, 87, 22], Operations: ['94-72=22'] Exploring Operation: 87-79=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 87-79=8 Current State: 30:[22, 8], Operations: ['94-72=22', '87-79=8'] Exploring Operation: 22+8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 64, 91, 29 ]
77
[ "8*29=232", "64+91=155", "232-155=77" ]
Current State: 77:[8, 64, 91, 29], Operations: [] Exploring Operation: 8*29=232, Resulting Numbers: [64, 91, 232] Generated Node #2: [64, 91, 232] from Operation: 8*29=232 Current State: 77:[64, 91, 232], Operations: ['8*29=232'] Exploring Operation: 64+91=155, Resulting Numbers: [232, 155] Generated Node #3: [232, 155] from Operation: 64+91=155 Current State: 77:[232, 155], Operations: ['8*29=232', '64+91=155'] Exploring Operation: 232-155=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 36, 76, 37, 26 ]
23
[ "76-36=40", "37+26=63", "63-40=23" ]
Current State: 23:[36, 76, 37, 26], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [37, 26, 40] Generated Node #2: [37, 26, 40] from Operation: 76-36=40 Current State: 23:[37, 26, 40], Operations: ['76-36=40'] Exploring Operation: 37+26=63, Resulting Numbers: [40, 63] Generated Node #3: [40, 63] from Operation: 37+26=63 Current State: 23:[40, 63], Operations: ['76-36=40', '37+26=63'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 64, 23, 69 ]
46
[ "6*69=414", "414/23=18", "64-18=46" ]
Current State: 46:[6, 64, 23, 69], Operations: [] Exploring Operation: 6*69=414, Resulting Numbers: [64, 23, 414] Generated Node #2: [64, 23, 414] from Operation: 6*69=414 Current State: 46:[64, 23, 414], Operations: ['6*69=414'] Exploring Operation: 414/23=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 414/23=18 Current State: 46:[64, 18], Operations: ['6*69=414', '414/23=18'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 5, 77, 95 ]
12
[ "84-77=7", "95/5=19", "19-7=12" ]
Current State: 12:[84, 5, 77, 95], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [5, 95, 7] Generated Node #2: [5, 95, 7] from Operation: 84-77=7 Current State: 12:[5, 95, 7], Operations: ['84-77=7'] Exploring Operation: 95/5=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 95/5=19 Current State: 12:[7, 19], Operations: ['84-77=7', '95/5=19'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 25, 47, 26 ]
90
[ "25-8=17", "47+26=73", "17+73=90" ]
Current State: 90:[8, 25, 47, 26], Operations: [] Exploring Operation: 25-8=17, Resulting Numbers: [47, 26, 17] Generated Node #2: [47, 26, 17] from Operation: 25-8=17 Current State: 90:[47, 26, 17], Operations: ['25-8=17'] Exploring Operation: 47+26=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 47+26=73 Current State: 90:[17, 73], Operations: ['25-8=17', '47+26=73'] Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 4, 3, 29 ]
13
[ "61+3=64", "64/4=16", "29-16=13" ]
Current State: 13:[61, 4, 3, 29], Operations: [] Exploring Operation: 61+3=64, Resulting Numbers: [4, 29, 64] Generated Node #2: [4, 29, 64] from Operation: 61+3=64 Current State: 13:[4, 29, 64], Operations: ['61+3=64'] Exploring Operation: 64/4=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 64/4=16 Current State: 13:[29, 16], Operations: ['61+3=64', '64/4=16'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 26, 2, 42, 76 ]
66
[ "26*2=52", "42+76=118", "118-52=66" ]
Current State: 66:[26, 2, 42, 76], Operations: [] Exploring Operation: 26*2=52, Resulting Numbers: [42, 76, 52] Generated Node #2: [42, 76, 52] from Operation: 26*2=52 Current State: 66:[42, 76, 52], Operations: ['26*2=52'] Exploring Operation: 42+76=118, Resulting Numbers: [52, 118] Generated Node #3: [52, 118] from Operation: 42+76=118 Current State: 66:[52, 118], Operations: ['26*2=52', '42+76=118'] Exploring Operation: 118-52=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 93, 26, 89, 50 ]
57
[ "93+89=182", "182/26=7", "50+7=57" ]
Current State: 57:[93, 26, 89, 50], Operations: [] Exploring Operation: 93+89=182, Resulting Numbers: [26, 50, 182] Generated Node #2: [26, 50, 182] from Operation: 93+89=182 Current State: 57:[26, 50, 182], Operations: ['93+89=182'] Exploring Operation: 182/26=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 182/26=7 Current State: 57:[50, 7], Operations: ['93+89=182', '182/26=7'] Exploring Operation: 50+7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 6, 39, 90 ]
20
[ "39-12=27", "6*90=540", "540/27=20" ]
Current State: 20:[12, 6, 39, 90], Operations: [] Exploring Operation: 39-12=27, Resulting Numbers: [6, 90, 27] Generated Node #2: [6, 90, 27] from Operation: 39-12=27 Current State: 20:[6, 90, 27], Operations: ['39-12=27'] Exploring Operation: 6*90=540, Resulting Numbers: [27, 540] Generated Node #3: [27, 540] from Operation: 6*90=540 Current State: 20:[27, 540], Operations: ['39-12=27', '6*90=540'] Exploring Operation: 540/27=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 76, 10, 6, 67 ]
30
[ "76-6=70", "70-67=3", "10*3=30" ]
Current State: 30:[76, 10, 6, 67], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [10, 67, 70] Generated Node #2: [10, 67, 70] from Operation: 76-6=70 Current State: 30:[10, 67, 70], Operations: ['76-6=70'] Exploring Operation: 70-67=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 70-67=3 Current State: 30:[10, 3], Operations: ['76-6=70', '70-67=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 37, 40, 74, 37 ]
41
[ "74-37=37", "37/37=1", "40+1=41" ]
Current State: 41:[37, 40, 74, 37], Operations: [] Exploring Operation: 74-37=37, Resulting Numbers: [40, 37] Generated Node #2: [40, 37] from Operation: 74-37=37 Current State: 41:[40, 37], Operations: ['74-37=37'] Exploring Operation: 37/37=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 37/37=1 Current State: 41:[40, 1], Operations: ['74-37=37', '37/37=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 67, 33, 32 ]
34
[ "66*33=2178", "67*32=2144", "2178-2144=34" ]
Current State: 34:[66, 67, 33, 32], Operations: [] Exploring Operation: 66*33=2178, Resulting Numbers: [67, 32, 2178] Generated Node #2: [67, 32, 2178] from Operation: 66*33=2178 Current State: 34:[67, 32, 2178], Operations: ['66*33=2178'] Exploring Operation: 67*32=2144, Resulting Numbers: [2178, 2144] Generated Node #3: [2178, 2144] from Operation: 67*32=2144 Current State: 34:[2178, 2144], Operations: ['66*33=2178', '67*32=2144'] Exploring Operation: 2178-2144=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 32, 4, 24 ]
75
[ "77-24=53", "32*4=128", "128-53=75" ]
Current State: 75:[77, 32, 4, 24], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [32, 4, 53] Generated Node #2: [32, 4, 53] from Operation: 77-24=53 Current State: 75:[32, 4, 53], Operations: ['77-24=53'] Exploring Operation: 32*4=128, Resulting Numbers: [53, 128] Generated Node #3: [53, 128] from Operation: 32*4=128 Current State: 75:[53, 128], Operations: ['77-24=53', '32*4=128'] Exploring Operation: 128-53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 56, 52, 37, 8 ]
41
[ "56-52=4", "37+8=45", "45-4=41" ]
Current State: 41:[56, 52, 37, 8], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [37, 8, 4] Generated Node #2: [37, 8, 4] from Operation: 56-52=4 Current State: 41:[37, 8, 4], Operations: ['56-52=4'] Exploring Operation: 37+8=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 37+8=45 Current State: 41:[4, 45], Operations: ['56-52=4', '37+8=45'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 55, 3, 30 ]
29
[ "12/3=4", "55-30=25", "4+25=29" ]
Current State: 29:[12, 55, 3, 30], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [55, 30, 4] Generated Node #2: [55, 30, 4] from Operation: 12/3=4 Current State: 29:[55, 30, 4], Operations: ['12/3=4'] Exploring Operation: 55-30=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 55-30=25 Current State: 29:[4, 25], Operations: ['12/3=4', '55-30=25'] Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 36, 2, 4 ]
52
[ "62-36=26", "4-2=2", "26*2=52" ]
Current State: 52:[62, 36, 2, 4], Operations: [] Exploring Operation: 62-36=26, Resulting Numbers: [2, 4, 26] Generated Node #2: [2, 4, 26] from Operation: 62-36=26 Current State: 52:[2, 4, 26], Operations: ['62-36=26'] Exploring Operation: 4-2=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 4-2=2 Current State: 52:[26, 2], Operations: ['62-36=26', '4-2=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 10, 10, 40 ]
12
[ "28+10=38", "10+40=50", "50-38=12" ]
Current State: 12:[28, 10, 10, 40], Operations: [] Exploring Operation: 28+10=38, Resulting Numbers: [40, 38] Generated Node #2: [40, 38] from Operation: 28+10=38 Current State: 12:[40, 38], Operations: ['28+10=38'] Exploring Operation: 10+40=50, Resulting Numbers: [38, 50] Generated Node #3: [38, 50] from Operation: 10+40=50 Current State: 12:[38, 50], Operations: ['28+10=38', '10+40=50'] Exploring Operation: 50-38=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 46, 57, 56 ]
97
[ "51+46=97", "57-56=1", "97*1=97" ]
Current State: 97:[51, 46, 57, 56], Operations: [] Exploring Operation: 51+46=97, Resulting Numbers: [57, 56, 97] Generated Node #2: [57, 56, 97] from Operation: 51+46=97 Current State: 97:[57, 56, 97], Operations: ['51+46=97'] Exploring Operation: 57-56=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 57-56=1 Current State: 97:[97, 1], Operations: ['51+46=97', '57-56=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 15, 72, 21, 15 ]
93
[ "15+72=87", "21-15=6", "87+6=93" ]
Current State: 93:[15, 72, 21, 15], Operations: [] Exploring Operation: 15+72=87, Resulting Numbers: [21, 87] Generated Node #2: [21, 87] from Operation: 15+72=87 Current State: 93:[21, 87], Operations: ['15+72=87'] Exploring Operation: 21-15=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 21-15=6 Current State: 93:[87, 6], Operations: ['15+72=87', '21-15=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 72, 32, 91 ]
21
[ "8+72=80", "91-32=59", "80-59=21" ]
Current State: 21:[8, 72, 32, 91], Operations: [] Exploring Operation: 8+72=80, Resulting Numbers: [32, 91, 80] Generated Node #2: [32, 91, 80] from Operation: 8+72=80 Current State: 21:[32, 91, 80], Operations: ['8+72=80'] Exploring Operation: 91-32=59, Resulting Numbers: [80, 59] Generated Node #3: [80, 59] from Operation: 91-32=59 Current State: 21:[80, 59], Operations: ['8+72=80', '91-32=59'] Exploring Operation: 80-59=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 59, 72, 33, 5 ]
15
[ "72-59=13", "33-5=28", "28-13=15" ]
Current State: 15:[59, 72, 33, 5], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [33, 5, 13] Generated Node #2: [33, 5, 13] from Operation: 72-59=13 Current State: 15:[33, 5, 13], Operations: ['72-59=13'] Exploring Operation: 33-5=28, Resulting Numbers: [13, 28] Generated Node #3: [13, 28] from Operation: 33-5=28 Current State: 15:[13, 28], Operations: ['72-59=13', '33-5=28'] Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 23, 26, 9 ]
22
[ "23-18=5", "26-9=17", "5+17=22" ]
Current State: 22:[18, 23, 26, 9], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [26, 9, 5] Generated Node #2: [26, 9, 5] from Operation: 23-18=5 Current State: 22:[26, 9, 5], Operations: ['23-18=5'] Exploring Operation: 26-9=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 26-9=17 Current State: 22:[5, 17], Operations: ['23-18=5', '26-9=17'] Exploring Operation: 5+17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 42, 40, 68 ]
88
[ "26*68=1768", "42*40=1680", "1768-1680=88" ]
Current State: 88:[26, 42, 40, 68], Operations: [] Exploring Operation: 26*68=1768, Resulting Numbers: [42, 40, 1768] Generated Node #2: [42, 40, 1768] from Operation: 26*68=1768 Current State: 88:[42, 40, 1768], Operations: ['26*68=1768'] Exploring Operation: 42*40=1680, Resulting Numbers: [1768, 1680] Generated Node #3: [1768, 1680] from Operation: 42*40=1680 Current State: 88:[1768, 1680], Operations: ['26*68=1768', '42*40=1680'] Exploring Operation: 1768-1680=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 41, 60, 16 ]
21
[ "60*16=960", "960-99=861", "861/41=21" ]
Current State: 21:[99, 41, 60, 16], Operations: [] Exploring Operation: 60*16=960, Resulting Numbers: [99, 41, 960] Generated Node #2: [99, 41, 960] from Operation: 60*16=960 Current State: 21:[99, 41, 960], Operations: ['60*16=960'] Exploring Operation: 960-99=861, Resulting Numbers: [41, 861] Generated Node #3: [41, 861] from Operation: 960-99=861 Current State: 21:[41, 861], Operations: ['60*16=960', '960-99=861'] Exploring Operation: 861/41=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 10, 7, 71 ]
58
[ "17*7=119", "71-10=61", "119-61=58" ]
Current State: 58:[17, 10, 7, 71], Operations: [] Exploring Operation: 17*7=119, Resulting Numbers: [10, 71, 119] Generated Node #2: [10, 71, 119] from Operation: 17*7=119 Current State: 58:[10, 71, 119], Operations: ['17*7=119'] Exploring Operation: 71-10=61, Resulting Numbers: [119, 61] Generated Node #3: [119, 61] from Operation: 71-10=61 Current State: 58:[119, 61], Operations: ['17*7=119', '71-10=61'] Exploring Operation: 119-61=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 62, 60, 29, 27 ]
85
[ "62-60=2", "29*2=58", "27+58=85" ]
Current State: 85:[62, 60, 29, 27], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [29, 27, 2] Generated Node #2: [29, 27, 2] from Operation: 62-60=2 Current State: 85:[29, 27, 2], Operations: ['62-60=2'] Exploring Operation: 29*2=58, Resulting Numbers: [27, 58] Generated Node #3: [27, 58] from Operation: 29*2=58 Current State: 85:[27, 58], Operations: ['62-60=2', '29*2=58'] Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 55, 37, 74, 43 ]
61
[ "55+37=92", "74-43=31", "92-31=61" ]
Current State: 61:[55, 37, 74, 43], Operations: [] Exploring Operation: 55+37=92, Resulting Numbers: [74, 43, 92] Generated Node #2: [74, 43, 92] from Operation: 55+37=92 Current State: 61:[74, 43, 92], Operations: ['55+37=92'] Exploring Operation: 74-43=31, Resulting Numbers: [92, 31] Generated Node #3: [92, 31] from Operation: 74-43=31 Current State: 61:[92, 31], Operations: ['55+37=92', '74-43=31'] Exploring Operation: 92-31=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 74, 47, 75, 80 ]
22
[ "74-47=27", "80-75=5", "27-5=22" ]
Current State: 22:[74, 47, 75, 80], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [75, 80, 27] Generated Node #2: [75, 80, 27] from Operation: 74-47=27 Current State: 22:[75, 80, 27], Operations: ['74-47=27'] Exploring Operation: 80-75=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 80-75=5 Current State: 22:[27, 5], Operations: ['74-47=27', '80-75=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 51, 35, 48 ]
26
[ "58+51=109", "35+48=83", "109-83=26" ]
Current State: 26:[58, 51, 35, 48], Operations: [] Exploring Operation: 58+51=109, Resulting Numbers: [35, 48, 109] Generated Node #2: [35, 48, 109] from Operation: 58+51=109 Current State: 26:[35, 48, 109], Operations: ['58+51=109'] Exploring Operation: 35+48=83, Resulting Numbers: [109, 83] Generated Node #3: [109, 83] from Operation: 35+48=83 Current State: 26:[109, 83], Operations: ['58+51=109', '35+48=83'] Exploring Operation: 109-83=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 16, 72, 30, 75 ]
49
[ "72-16=56", "30+75=105", "105-56=49" ]
Current State: 49:[16, 72, 30, 75], Operations: [] Exploring Operation: 72-16=56, Resulting Numbers: [30, 75, 56] Generated Node #2: [30, 75, 56] from Operation: 72-16=56 Current State: 49:[30, 75, 56], Operations: ['72-16=56'] Exploring Operation: 30+75=105, Resulting Numbers: [56, 105] Generated Node #3: [56, 105] from Operation: 30+75=105 Current State: 49:[56, 105], Operations: ['72-16=56', '30+75=105'] Exploring Operation: 105-56=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 58, 26, 31 ]
15
[ "61-58=3", "31-26=5", "3*5=15" ]
Current State: 15:[61, 58, 26, 31], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [26, 31, 3] Generated Node #2: [26, 31, 3] from Operation: 61-58=3 Current State: 15:[26, 31, 3], Operations: ['61-58=3'] Exploring Operation: 31-26=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 31-26=5 Current State: 15:[3, 5], Operations: ['61-58=3', '31-26=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 35, 38, 1 ]
22
[ "38-35=3", "69/3=23", "23-1=22" ]
Current State: 22:[69, 35, 38, 1], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [69, 1, 3] Generated Node #2: [69, 1, 3] from Operation: 38-35=3 Current State: 22:[69, 1, 3], Operations: ['38-35=3'] Exploring Operation: 69/3=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 69/3=23 Current State: 22:[1, 23], Operations: ['38-35=3', '69/3=23'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 80, 40, 44 ]
21
[ "44-40=4", "80/4=20", "41-20=21" ]
Current State: 21:[41, 80, 40, 44], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [41, 80, 4] Generated Node #2: [41, 80, 4] from Operation: 44-40=4 Current State: 21:[41, 80, 4], Operations: ['44-40=4'] Exploring Operation: 80/4=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 80/4=20 Current State: 21:[41, 20], Operations: ['44-40=4', '80/4=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 99, 32, 70 ]
62
[ "99-95=4", "32/4=8", "70-8=62" ]
Current State: 62:[95, 99, 32, 70], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [32, 70, 4] Generated Node #2: [32, 70, 4] from Operation: 99-95=4 Current State: 62:[32, 70, 4], Operations: ['99-95=4'] Exploring Operation: 32/4=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 32/4=8 Current State: 62:[70, 8], Operations: ['99-95=4', '32/4=8'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 20, 50, 68 ]
52
[ "14+20=34", "68-50=18", "34+18=52" ]
Current State: 52:[14, 20, 50, 68], Operations: [] Exploring Operation: 14+20=34, Resulting Numbers: [50, 68, 34] Generated Node #2: [50, 68, 34] from Operation: 14+20=34 Current State: 52:[50, 68, 34], Operations: ['14+20=34'] Exploring Operation: 68-50=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 68-50=18 Current State: 52:[34, 18], Operations: ['14+20=34', '68-50=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 83, 40, 95, 3 ]
97
[ "83-3=80", "80/40=2", "95+2=97" ]
Current State: 97:[83, 40, 95, 3], Operations: [] Exploring Operation: 83-3=80, Resulting Numbers: [40, 95, 80] Generated Node #2: [40, 95, 80] from Operation: 83-3=80 Current State: 97:[40, 95, 80], Operations: ['83-3=80'] Exploring Operation: 80/40=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 80/40=2 Current State: 97:[95, 2], Operations: ['83-3=80', '80/40=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 70, 59, 87, 2 ]
40
[ "70+59=129", "87+2=89", "129-89=40" ]
Current State: 40:[70, 59, 87, 2], Operations: [] Exploring Operation: 70+59=129, Resulting Numbers: [87, 2, 129] Generated Node #2: [87, 2, 129] from Operation: 70+59=129 Current State: 40:[87, 2, 129], Operations: ['70+59=129'] Exploring Operation: 87+2=89, Resulting Numbers: [129, 89] Generated Node #3: [129, 89] from Operation: 87+2=89 Current State: 40:[129, 89], Operations: ['70+59=129', '87+2=89'] Exploring Operation: 129-89=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 8, 33, 50 ]
57
[ "3*33=99", "50-8=42", "99-42=57" ]
Current State: 57:[3, 8, 33, 50], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [8, 50, 99] Generated Node #2: [8, 50, 99] from Operation: 3*33=99 Current State: 57:[8, 50, 99], Operations: ['3*33=99'] Exploring Operation: 50-8=42, Resulting Numbers: [99, 42] Generated Node #3: [99, 42] from Operation: 50-8=42 Current State: 57:[99, 42], Operations: ['3*33=99', '50-8=42'] Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 33, 62, 11, 12 ]
53
[ "33/11=3", "62-12=50", "3+50=53" ]
Current State: 53:[33, 62, 11, 12], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [62, 12, 3] Generated Node #2: [62, 12, 3] from Operation: 33/11=3 Current State: 53:[62, 12, 3], Operations: ['33/11=3'] Exploring Operation: 62-12=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 62-12=50 Current State: 53:[3, 50], Operations: ['33/11=3', '62-12=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 49, 45, 5 ]
87
[ "49-45=4", "5-4=1", "87*1=87" ]
Current State: 87:[87, 49, 45, 5], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [87, 5, 4] Generated Node #2: [87, 5, 4] from Operation: 49-45=4 Current State: 87:[87, 5, 4], Operations: ['49-45=4'] Exploring Operation: 5-4=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 5-4=1 Current State: 87:[87, 1], Operations: ['49-45=4', '5-4=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 49, 12, 23, 20 ]
80
[ "49-12=37", "23+20=43", "37+43=80" ]
Current State: 80:[49, 12, 23, 20], Operations: [] Exploring Operation: 49-12=37, Resulting Numbers: [23, 20, 37] Generated Node #2: [23, 20, 37] from Operation: 49-12=37 Current State: 80:[23, 20, 37], Operations: ['49-12=37'] Exploring Operation: 23+20=43, Resulting Numbers: [37, 43] Generated Node #3: [37, 43] from Operation: 23+20=43 Current State: 80:[37, 43], Operations: ['49-12=37', '23+20=43'] Exploring Operation: 37+43=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 49, 47, 51 ]
25
[ "51-1=50", "49-47=2", "50/2=25" ]
Current State: 25:[1, 49, 47, 51], Operations: [] Exploring Operation: 51-1=50, Resulting Numbers: [49, 47, 50] Generated Node #2: [49, 47, 50] from Operation: 51-1=50 Current State: 25:[49, 47, 50], Operations: ['51-1=50'] Exploring Operation: 49-47=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 49-47=2 Current State: 25:[50, 2], Operations: ['51-1=50', '49-47=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 30, 46, 18, 49 ]
47
[ "46-30=16", "49-18=31", "16+31=47" ]
Current State: 47:[30, 46, 18, 49], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [18, 49, 16] Generated Node #2: [18, 49, 16] from Operation: 46-30=16 Current State: 47:[18, 49, 16], Operations: ['46-30=16'] Exploring Operation: 49-18=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 49-18=31 Current State: 47:[16, 31], Operations: ['46-30=16', '49-18=31'] Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 26, 82, 21, 14 ]
73
[ "26+82=108", "21+14=35", "108-35=73" ]
Current State: 73:[26, 82, 21, 14], Operations: [] Exploring Operation: 26+82=108, Resulting Numbers: [21, 14, 108] Generated Node #2: [21, 14, 108] from Operation: 26+82=108 Current State: 73:[21, 14, 108], Operations: ['26+82=108'] Exploring Operation: 21+14=35, Resulting Numbers: [108, 35] Generated Node #3: [108, 35] from Operation: 21+14=35 Current State: 73:[108, 35], Operations: ['26+82=108', '21+14=35'] Exploring Operation: 108-35=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 7, 92, 26, 50 ]
20
[ "92-50=42", "42/7=6", "26-6=20" ]
Current State: 20:[7, 92, 26, 50], Operations: [] Exploring Operation: 92-50=42, Resulting Numbers: [7, 26, 42] Generated Node #2: [7, 26, 42] from Operation: 92-50=42 Current State: 20:[7, 26, 42], Operations: ['92-50=42'] Exploring Operation: 42/7=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 42/7=6 Current State: 20:[26, 6], Operations: ['92-50=42', '42/7=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 54, 88, 86 ]
40
[ "88-86=2", "54*2=108", "108-68=40" ]
Current State: 40:[68, 54, 88, 86], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [68, 54, 2] Generated Node #2: [68, 54, 2] from Operation: 88-86=2 Current State: 40:[68, 54, 2], Operations: ['88-86=2'] Exploring Operation: 54*2=108, Resulting Numbers: [68, 108] Generated Node #3: [68, 108] from Operation: 54*2=108 Current State: 40:[68, 108], Operations: ['88-86=2', '54*2=108'] Exploring Operation: 108-68=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 30, 50, 73 ]
99
[ "73-50=23", "3*23=69", "30+69=99" ]
Current State: 99:[3, 30, 50, 73], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [3, 30, 23] Generated Node #2: [3, 30, 23] from Operation: 73-50=23 Current State: 99:[3, 30, 23], Operations: ['73-50=23'] Exploring Operation: 3*23=69, Resulting Numbers: [30, 69] Generated Node #3: [30, 69] from Operation: 3*23=69 Current State: 99:[30, 69], Operations: ['73-50=23', '3*23=69'] Exploring Operation: 30+69=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 26, 88, 11, 66 ]
44
[ "88-26=62", "66-62=4", "11*4=44" ]
Current State: 44:[26, 88, 11, 66], Operations: [] Exploring Operation: 88-26=62, Resulting Numbers: [11, 66, 62] Generated Node #2: [11, 66, 62] from Operation: 88-26=62 Current State: 44:[11, 66, 62], Operations: ['88-26=62'] Exploring Operation: 66-62=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 66-62=4 Current State: 44:[11, 4], Operations: ['88-26=62', '66-62=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 17, 80, 34 ]
68
[ "23+17=40", "80*34=2720", "2720/40=68" ]
Current State: 68:[23, 17, 80, 34], Operations: [] Exploring Operation: 23+17=40, Resulting Numbers: [80, 34, 40] Generated Node #2: [80, 34, 40] from Operation: 23+17=40 Current State: 68:[80, 34, 40], Operations: ['23+17=40'] Exploring Operation: 80*34=2720, Resulting Numbers: [40, 2720] Generated Node #3: [40, 2720] from Operation: 80*34=2720 Current State: 68:[40, 2720], Operations: ['23+17=40', '80*34=2720'] Exploring Operation: 2720/40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 28, 27, 3 ]
37
[ "6*3=18", "28+27=55", "55-18=37" ]
Current State: 37:[6, 28, 27, 3], Operations: [] Exploring Operation: 6*3=18, Resulting Numbers: [28, 27, 18] Generated Node #2: [28, 27, 18] from Operation: 6*3=18 Current State: 37:[28, 27, 18], Operations: ['6*3=18'] Exploring Operation: 28+27=55, Resulting Numbers: [18, 55] Generated Node #3: [18, 55] from Operation: 28+27=55 Current State: 37:[18, 55], Operations: ['6*3=18', '28+27=55'] Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 54, 69, 76 ]
27
[ "76-69=7", "14/7=2", "54/2=27" ]
Current State: 27:[14, 54, 69, 76], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [14, 54, 7] Generated Node #2: [14, 54, 7] from Operation: 76-69=7 Current State: 27:[14, 54, 7], Operations: ['76-69=7'] Exploring Operation: 14/7=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 14/7=2 Current State: 27:[54, 2], Operations: ['76-69=7', '14/7=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 16, 92, 97 ]
16
[ "16*92=1472", "80+1472=1552", "1552/97=16" ]
Current State: 16:[80, 16, 92, 97], Operations: [] Exploring Operation: 16*92=1472, Resulting Numbers: [80, 97, 1472] Generated Node #2: [80, 97, 1472] from Operation: 16*92=1472 Current State: 16:[80, 97, 1472], Operations: ['16*92=1472'] Exploring Operation: 80+1472=1552, Resulting Numbers: [97, 1552] Generated Node #3: [97, 1552] from Operation: 80+1472=1552 Current State: 16:[97, 1552], Operations: ['16*92=1472', '80+1472=1552'] Exploring Operation: 1552/97=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 9, 57, 60, 43 ]
49
[ "9+57=66", "60-43=17", "66-17=49" ]
Current State: 49:[9, 57, 60, 43], Operations: [] Exploring Operation: 9+57=66, Resulting Numbers: [60, 43, 66] Generated Node #2: [60, 43, 66] from Operation: 9+57=66 Current State: 49:[60, 43, 66], Operations: ['9+57=66'] Exploring Operation: 60-43=17, Resulting Numbers: [66, 17] Generated Node #3: [66, 17] from Operation: 60-43=17 Current State: 49:[66, 17], Operations: ['9+57=66', '60-43=17'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 38, 65, 4, 36 ]
63
[ "38+65=103", "4+36=40", "103-40=63" ]
Current State: 63:[38, 65, 4, 36], Operations: [] Exploring Operation: 38+65=103, Resulting Numbers: [4, 36, 103] Generated Node #2: [4, 36, 103] from Operation: 38+65=103 Current State: 63:[4, 36, 103], Operations: ['38+65=103'] Exploring Operation: 4+36=40, Resulting Numbers: [103, 40] Generated Node #3: [103, 40] from Operation: 4+36=40 Current State: 63:[103, 40], Operations: ['38+65=103', '4+36=40'] Exploring Operation: 103-40=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 68, 63, 53, 33 ]
45
[ "68+63=131", "53+33=86", "131-86=45" ]
Current State: 45:[68, 63, 53, 33], Operations: [] Exploring Operation: 68+63=131, Resulting Numbers: [53, 33, 131] Generated Node #2: [53, 33, 131] from Operation: 68+63=131 Current State: 45:[53, 33, 131], Operations: ['68+63=131'] Exploring Operation: 53+33=86, Resulting Numbers: [131, 86] Generated Node #3: [131, 86] from Operation: 53+33=86 Current State: 45:[131, 86], Operations: ['68+63=131', '53+33=86'] Exploring Operation: 131-86=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 50, 31, 31 ]
53
[ "59-50=9", "31+31=62", "62-9=53" ]
Current State: 53:[59, 50, 31, 31], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [31, 31, 9] Generated Node #2: [31, 31, 9] from Operation: 59-50=9 Current State: 53:[31, 31, 9], Operations: ['59-50=9'] Exploring Operation: 31+31=62, Resulting Numbers: [9, 62] Generated Node #3: [9, 62] from Operation: 31+31=62 Current State: 53:[9, 62], Operations: ['59-50=9', '31+31=62'] Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 74, 8, 72 ]
14
[ "52+74=126", "72/8=9", "126/9=14" ]
Current State: 14:[52, 74, 8, 72], Operations: [] Exploring Operation: 52+74=126, Resulting Numbers: [8, 72, 126] Generated Node #2: [8, 72, 126] from Operation: 52+74=126 Current State: 14:[8, 72, 126], Operations: ['52+74=126'] Exploring Operation: 72/8=9, Resulting Numbers: [126, 9] Generated Node #3: [126, 9] from Operation: 72/8=9 Current State: 14:[126, 9], Operations: ['52+74=126', '72/8=9'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 6, 20, 42 ]
33
[ "11*42=462", "20-6=14", "462/14=33" ]
Current State: 33:[11, 6, 20, 42], Operations: [] Exploring Operation: 11*42=462, Resulting Numbers: [6, 20, 462] Generated Node #2: [6, 20, 462] from Operation: 11*42=462 Current State: 33:[6, 20, 462], Operations: ['11*42=462'] Exploring Operation: 20-6=14, Resulting Numbers: [462, 14] Generated Node #3: [462, 14] from Operation: 20-6=14 Current State: 33:[462, 14], Operations: ['11*42=462', '20-6=14'] Exploring Operation: 462/14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 31, 4, 27, 63 ]
34
[ "31*4=124", "27+63=90", "124-90=34" ]
Current State: 34:[31, 4, 27, 63], Operations: [] Exploring Operation: 31*4=124, Resulting Numbers: [27, 63, 124] Generated Node #2: [27, 63, 124] from Operation: 31*4=124 Current State: 34:[27, 63, 124], Operations: ['31*4=124'] Exploring Operation: 27+63=90, Resulting Numbers: [124, 90] Generated Node #3: [124, 90] from Operation: 27+63=90 Current State: 34:[124, 90], Operations: ['31*4=124', '27+63=90'] Exploring Operation: 124-90=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 26, 39, 13, 43 ]
47
[ "26/13=2", "43*2=86", "86-39=47" ]
Current State: 47:[26, 39, 13, 43], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [39, 43, 2] Generated Node #2: [39, 43, 2] from Operation: 26/13=2 Current State: 47:[39, 43, 2], Operations: ['26/13=2'] Exploring Operation: 43*2=86, Resulting Numbers: [39, 86] Generated Node #3: [39, 86] from Operation: 43*2=86 Current State: 47:[39, 86], Operations: ['26/13=2', '43*2=86'] Exploring Operation: 86-39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 50, 56, 43 ]
56
[ "50-7=43", "56+43=99", "99-43=56" ]
Current State: 56:[7, 50, 56, 43], Operations: [] Exploring Operation: 50-7=43, Resulting Numbers: [56, 43, 43] Generated Node #2: [56, 43, 43] from Operation: 50-7=43 Current State: 56:[56, 43, 43], Operations: ['50-7=43'] Exploring Operation: 56+43=99, Resulting Numbers: [99] 99,56 equal: Goal Reached Exploring Operation: 99-43=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 86, 22, 72, 6 ]
62
[ "86-72=14", "6*14=84", "84-22=62" ]
Current State: 62:[86, 22, 72, 6], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [22, 6, 14] Generated Node #2: [22, 6, 14] from Operation: 86-72=14 Current State: 62:[22, 6, 14], Operations: ['86-72=14'] Exploring Operation: 6*14=84, Resulting Numbers: [22, 84] Generated Node #3: [22, 84] from Operation: 6*14=84 Current State: 62:[22, 84], Operations: ['86-72=14', '6*14=84'] Exploring Operation: 84-22=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 57, 67, 69 ]
73
[ "69-57=12", "72/12=6", "67+6=73" ]
Current State: 73:[72, 57, 67, 69], Operations: [] Exploring Operation: 69-57=12, Resulting Numbers: [72, 67, 12] Generated Node #2: [72, 67, 12] from Operation: 69-57=12 Current State: 73:[72, 67, 12], Operations: ['69-57=12'] Exploring Operation: 72/12=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 72/12=6 Current State: 73:[67, 6], Operations: ['69-57=12', '72/12=6'] Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 53, 97, 5, 24 ]
99
[ "53-5=48", "48/24=2", "97+2=99" ]
Current State: 99:[53, 97, 5, 24], Operations: [] Exploring Operation: 53-5=48, Resulting Numbers: [97, 24, 48] Generated Node #2: [97, 24, 48] from Operation: 53-5=48 Current State: 99:[97, 24, 48], Operations: ['53-5=48'] Exploring Operation: 48/24=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 48/24=2 Current State: 99:[97, 2], Operations: ['53-5=48', '48/24=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 44, 49, 8 ]
20
[ "44-7=37", "49+8=57", "57-37=20" ]
Current State: 20:[7, 44, 49, 8], Operations: [] Exploring Operation: 44-7=37, Resulting Numbers: [49, 8, 37] Generated Node #2: [49, 8, 37] from Operation: 44-7=37 Current State: 20:[49, 8, 37], Operations: ['44-7=37'] Exploring Operation: 49+8=57, Resulting Numbers: [37, 57] Generated Node #3: [37, 57] from Operation: 49+8=57 Current State: 20:[37, 57], Operations: ['44-7=37', '49+8=57'] Exploring Operation: 57-37=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 84, 42, 32 ]
70
[ "40+32=72", "84/42=2", "72-2=70" ]
Current State: 70:[40, 84, 42, 32], Operations: [] Exploring Operation: 40+32=72, Resulting Numbers: [84, 42, 72] Generated Node #2: [84, 42, 72] from Operation: 40+32=72 Current State: 70:[84, 42, 72], Operations: ['40+32=72'] Exploring Operation: 84/42=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 84/42=2 Current State: 70:[72, 2], Operations: ['40+32=72', '84/42=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 89, 11, 1 ]
95
[ "11+1=12", "12/2=6", "89+6=95" ]
Current State: 95:[2, 89, 11, 1], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [2, 89, 12] Generated Node #2: [2, 89, 12] from Operation: 11+1=12 Current State: 95:[2, 89, 12], Operations: ['11+1=12'] Exploring Operation: 12/2=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 12/2=6 Current State: 95:[89, 6], Operations: ['11+1=12', '12/2=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 68, 4, 93 ]
48
[ "93-28=65", "68/4=17", "65-17=48" ]
Current State: 48:[28, 68, 4, 93], Operations: [] Exploring Operation: 93-28=65, Resulting Numbers: [68, 4, 65] Generated Node #2: [68, 4, 65] from Operation: 93-28=65 Current State: 48:[68, 4, 65], Operations: ['93-28=65'] Exploring Operation: 68/4=17, Resulting Numbers: [65, 17] Generated Node #3: [65, 17] from Operation: 68/4=17 Current State: 48:[65, 17], Operations: ['93-28=65', '68/4=17'] Exploring Operation: 65-17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4