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
[ 32, 61, 77, 24 ]
22
[ "77-61=16", "32/16=2", "24-2=22" ]
Current State: 22:[32, 61, 77, 24], Operations: [] Exploring Operation: 77-61=16, Resulting Numbers: [32, 24, 16] Generated Node #2: [32, 24, 16] from Operation: 77-61=16 Current State: 22:[32, 24, 16], Operations: ['77-61=16'] Exploring Operation: 32/16=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 32/16=2 Current State: 22:[24, 2], Operations: ['77-61=16', '32/16=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 38, 6, 57 ]
10
[ "79+38=117", "117-57=60", "60/6=10" ]
Current State: 10:[79, 38, 6, 57], Operations: [] Exploring Operation: 79+38=117, Resulting Numbers: [6, 57, 117] Generated Node #2: [6, 57, 117] from Operation: 79+38=117 Current State: 10:[6, 57, 117], Operations: ['79+38=117'] Exploring Operation: 117-57=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 117-57=60 Current State: 10:[6, 60], Operations: ['79+38=117', '117-57=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 70, 3, 23 ]
66
[ "3*23=69", "70-69=1", "66*1=66" ]
Current State: 66:[66, 70, 3, 23], Operations: [] Exploring Operation: 3*23=69, Resulting Numbers: [66, 70, 69] Generated Node #2: [66, 70, 69] from Operation: 3*23=69 Current State: 66:[66, 70, 69], Operations: ['3*23=69'] Exploring Operation: 70-69=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 70-69=1 Current State: 66:[66, 1], Operations: ['3*23=69', '70-69=1'] Exploring Operation: 66*1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 14, 99, 41 ]
42
[ "99+41=140", "140/14=10", "32+10=42" ]
Current State: 42:[32, 14, 99, 41], Operations: [] Exploring Operation: 99+41=140, Resulting Numbers: [32, 14, 140] Generated Node #2: [32, 14, 140] from Operation: 99+41=140 Current State: 42:[32, 14, 140], Operations: ['99+41=140'] Exploring Operation: 140/14=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 140/14=10 Current State: 42:[32, 10], Operations: ['99+41=140', '140/14=10'] Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 7, 71, 97 ]
15
[ "71+97=168", "168/7=24", "24-9=15" ]
Current State: 15:[9, 7, 71, 97], Operations: [] Exploring Operation: 71+97=168, Resulting Numbers: [9, 7, 168] Generated Node #2: [9, 7, 168] from Operation: 71+97=168 Current State: 15:[9, 7, 168], Operations: ['71+97=168'] Exploring Operation: 168/7=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 168/7=24 Current State: 15:[9, 24], Operations: ['71+97=168', '168/7=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 71, 88, 78 ]
56
[ "39+71=110", "88+78=166", "166-110=56" ]
Current State: 56:[39, 71, 88, 78], Operations: [] Exploring Operation: 39+71=110, Resulting Numbers: [88, 78, 110] Generated Node #2: [88, 78, 110] from Operation: 39+71=110 Current State: 56:[88, 78, 110], Operations: ['39+71=110'] Exploring Operation: 88+78=166, Resulting Numbers: [110, 166] Generated Node #3: [110, 166] from Operation: 88+78=166 Current State: 56:[110, 166], Operations: ['39+71=110', '88+78=166'] Exploring Operation: 166-110=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 56, 57, 19 ]
92
[ "12*57=684", "684/19=36", "56+36=92" ]
Current State: 92:[12, 56, 57, 19], Operations: [] Exploring Operation: 12*57=684, Resulting Numbers: [56, 19, 684] Generated Node #2: [56, 19, 684] from Operation: 12*57=684 Current State: 92:[56, 19, 684], Operations: ['12*57=684'] Exploring Operation: 684/19=36, Resulting Numbers: [56, 36] Generated Node #3: [56, 36] from Operation: 684/19=36 Current State: 92:[56, 36], Operations: ['12*57=684', '684/19=36'] Exploring Operation: 56+36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 64, 98, 45 ]
59
[ "48+64=112", "98-45=53", "112-53=59" ]
Current State: 59:[48, 64, 98, 45], Operations: [] Exploring Operation: 48+64=112, Resulting Numbers: [98, 45, 112] Generated Node #2: [98, 45, 112] from Operation: 48+64=112 Current State: 59:[98, 45, 112], Operations: ['48+64=112'] Exploring Operation: 98-45=53, Resulting Numbers: [112, 53] Generated Node #3: [112, 53] from Operation: 98-45=53 Current State: 59:[112, 53], Operations: ['48+64=112', '98-45=53'] Exploring Operation: 112-53=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 66, 65, 4 ]
35
[ "66-32=34", "65+4=69", "69-34=35" ]
Current State: 35:[32, 66, 65, 4], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [65, 4, 34] Generated Node #2: [65, 4, 34] from Operation: 66-32=34 Current State: 35:[65, 4, 34], Operations: ['66-32=34'] Exploring Operation: 65+4=69, Resulting Numbers: [34, 69] Generated Node #3: [34, 69] from Operation: 65+4=69 Current State: 35:[34, 69], Operations: ['66-32=34', '65+4=69'] Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 4, 64, 40 ]
30
[ "10-4=6", "64-40=24", "6+24=30" ]
Current State: 30:[10, 4, 64, 40], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [64, 40, 6] Generated Node #2: [64, 40, 6] from Operation: 10-4=6 Current State: 30:[64, 40, 6], Operations: ['10-4=6'] Exploring Operation: 64-40=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 64-40=24 Current State: 30:[6, 24], Operations: ['10-4=6', '64-40=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 97, 9, 20, 1 ]
84
[ "97-1=96", "9*20=180", "180-96=84" ]
Current State: 84:[97, 9, 20, 1], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [9, 20, 96] Generated Node #2: [9, 20, 96] from Operation: 97-1=96 Current State: 84:[9, 20, 96], Operations: ['97-1=96'] Exploring Operation: 9*20=180, Resulting Numbers: [96, 180] Generated Node #3: [96, 180] from Operation: 9*20=180 Current State: 84:[96, 180], Operations: ['97-1=96', '9*20=180'] Exploring Operation: 180-96=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 1, 66, 9 ]
22
[ "12*1=12", "12-9=3", "66/3=22" ]
Current State: 22:[12, 1, 66, 9], Operations: [] Exploring Operation: 12*1=12, Resulting Numbers: [66, 9, 12] Generated Node #2: [66, 9, 12] from Operation: 12*1=12 Current State: 22:[66, 9, 12], Operations: ['12*1=12'] Exploring Operation: 12-9=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 12-9=3 Current State: 22:[66, 3], Operations: ['12*1=12', '12-9=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 30, 76, 15 ]
80
[ "90-30=60", "60/15=4", "76+4=80" ]
Current State: 80:[90, 30, 76, 15], Operations: [] Exploring Operation: 90-30=60, Resulting Numbers: [76, 15, 60] Generated Node #2: [76, 15, 60] from Operation: 90-30=60 Current State: 80:[76, 15, 60], Operations: ['90-30=60'] Exploring Operation: 60/15=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 60/15=4 Current State: 80:[76, 4], Operations: ['90-30=60', '60/15=4'] Exploring Operation: 76+4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 26, 37, 11 ]
39
[ "26/2=13", "37-11=26", "13+26=39" ]
Current State: 39:[2, 26, 37, 11], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [37, 11, 13] Generated Node #2: [37, 11, 13] from Operation: 26/2=13 Current State: 39:[37, 11, 13], Operations: ['26/2=13'] Exploring Operation: 37-11=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 37-11=26 Current State: 39:[13, 26], Operations: ['26/2=13', '37-11=26'] Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 32, 31, 29, 9 ]
73
[ "31-29=2", "32*2=64", "9+64=73" ]
Current State: 73:[32, 31, 29, 9], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [32, 9, 2] Generated Node #2: [32, 9, 2] from Operation: 31-29=2 Current State: 73:[32, 9, 2], Operations: ['31-29=2'] Exploring Operation: 32*2=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 32*2=64 Current State: 73:[9, 64], Operations: ['31-29=2', '32*2=64'] Exploring Operation: 9+64=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 53, 2, 48, 16 ]
83
[ "53-2=51", "48-16=32", "51+32=83" ]
Current State: 83:[53, 2, 48, 16], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [48, 16, 51] Generated Node #2: [48, 16, 51] from Operation: 53-2=51 Current State: 83:[48, 16, 51], Operations: ['53-2=51'] Exploring Operation: 48-16=32, Resulting Numbers: [51, 32] Generated Node #3: [51, 32] from Operation: 48-16=32 Current State: 83:[51, 32], Operations: ['53-2=51', '48-16=32'] Exploring Operation: 51+32=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 49, 1, 39 ]
63
[ "49-25=24", "1*39=39", "24+39=63" ]
Current State: 63:[25, 49, 1, 39], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [1, 39, 24] Generated Node #2: [1, 39, 24] from Operation: 49-25=24 Current State: 63:[1, 39, 24], Operations: ['49-25=24'] Exploring Operation: 1*39=39, Resulting Numbers: [24, 39] Generated Node #3: [24, 39] from Operation: 1*39=39 Current State: 63:[24, 39], Operations: ['49-25=24', '1*39=39'] Exploring Operation: 24+39=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 92, 29, 99, 98 ]
75
[ "98-92=6", "29*6=174", "174-99=75" ]
Current State: 75:[92, 29, 99, 98], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [29, 99, 6] Generated Node #2: [29, 99, 6] from Operation: 98-92=6 Current State: 75:[29, 99, 6], Operations: ['98-92=6'] Exploring Operation: 29*6=174, Resulting Numbers: [99, 174] Generated Node #3: [99, 174] from Operation: 29*6=174 Current State: 75:[99, 174], Operations: ['98-92=6', '29*6=174'] Exploring Operation: 174-99=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 72, 65, 50 ]
48
[ "65-50=15", "8*15=120", "120-72=48" ]
Current State: 48:[8, 72, 65, 50], Operations: [] Exploring Operation: 65-50=15, Resulting Numbers: [8, 72, 15] Generated Node #2: [8, 72, 15] from Operation: 65-50=15 Current State: 48:[8, 72, 15], Operations: ['65-50=15'] Exploring Operation: 8*15=120, Resulting Numbers: [72, 120] Generated Node #3: [72, 120] from Operation: 8*15=120 Current State: 48:[72, 120], Operations: ['65-50=15', '8*15=120'] Exploring Operation: 120-72=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 10, 11, 71 ]
80
[ "10/5=2", "11+71=82", "82-2=80" ]
Current State: 80:[5, 10, 11, 71], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [11, 71, 2] Generated Node #2: [11, 71, 2] from Operation: 10/5=2 Current State: 80:[11, 71, 2], Operations: ['10/5=2'] Exploring Operation: 11+71=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 11+71=82 Current State: 80:[2, 82], Operations: ['10/5=2', '11+71=82'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 18, 22, 5 ]
77
[ "15+18=33", "22*5=110", "110-33=77" ]
Current State: 77:[15, 18, 22, 5], Operations: [] Exploring Operation: 15+18=33, Resulting Numbers: [22, 5, 33] Generated Node #2: [22, 5, 33] from Operation: 15+18=33 Current State: 77:[22, 5, 33], Operations: ['15+18=33'] Exploring Operation: 22*5=110, Resulting Numbers: [33, 110] Generated Node #3: [33, 110] from Operation: 22*5=110 Current State: 77:[33, 110], Operations: ['15+18=33', '22*5=110'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 94, 62, 8 ]
26
[ "94-62=32", "32/8=4", "30-4=26" ]
Current State: 26:[30, 94, 62, 8], Operations: [] Exploring Operation: 94-62=32, Resulting Numbers: [30, 8, 32] Generated Node #2: [30, 8, 32] from Operation: 94-62=32 Current State: 26:[30, 8, 32], Operations: ['94-62=32'] Exploring Operation: 32/8=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 32/8=4 Current State: 26:[30, 4], Operations: ['94-62=32', '32/8=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 67, 60, 49 ]
89
[ "67+49=116", "116/4=29", "60+29=89" ]
Current State: 89:[4, 67, 60, 49], Operations: [] Exploring Operation: 67+49=116, Resulting Numbers: [4, 60, 116] Generated Node #2: [4, 60, 116] from Operation: 67+49=116 Current State: 89:[4, 60, 116], Operations: ['67+49=116'] Exploring Operation: 116/4=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 116/4=29 Current State: 89:[60, 29], Operations: ['67+49=116', '116/4=29'] Exploring Operation: 60+29=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 43, 40, 82 ]
98
[ "67-43=24", "40+82=122", "122-24=98" ]
Current State: 98:[67, 43, 40, 82], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [40, 82, 24] Generated Node #2: [40, 82, 24] from Operation: 67-43=24 Current State: 98:[40, 82, 24], Operations: ['67-43=24'] Exploring Operation: 40+82=122, Resulting Numbers: [24, 122] Generated Node #3: [24, 122] from Operation: 40+82=122 Current State: 98:[24, 122], Operations: ['67-43=24', '40+82=122'] Exploring Operation: 122-24=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 42, 12, 4 ]
96
[ "42-15=27", "4*27=108", "108-12=96" ]
Current State: 96:[15, 42, 12, 4], Operations: [] Exploring Operation: 42-15=27, Resulting Numbers: [12, 4, 27] Generated Node #2: [12, 4, 27] from Operation: 42-15=27 Current State: 96:[12, 4, 27], Operations: ['42-15=27'] Exploring Operation: 4*27=108, Resulting Numbers: [12, 108] Generated Node #3: [12, 108] from Operation: 4*27=108 Current State: 96:[12, 108], Operations: ['42-15=27', '4*27=108'] Exploring Operation: 108-12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 52, 39, 65 ]
51
[ "52-39=13", "65/13=5", "56-5=51" ]
Current State: 51:[56, 52, 39, 65], Operations: [] Exploring Operation: 52-39=13, Resulting Numbers: [56, 65, 13] Generated Node #2: [56, 65, 13] from Operation: 52-39=13 Current State: 51:[56, 65, 13], Operations: ['52-39=13'] Exploring Operation: 65/13=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 65/13=5 Current State: 51:[56, 5], Operations: ['52-39=13', '65/13=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 82, 64, 68, 75 ]
62
[ "82+68=150", "150/75=2", "64-2=62" ]
Current State: 62:[82, 64, 68, 75], Operations: [] Exploring Operation: 82+68=150, Resulting Numbers: [64, 75, 150] Generated Node #2: [64, 75, 150] from Operation: 82+68=150 Current State: 62:[64, 75, 150], Operations: ['82+68=150'] Exploring Operation: 150/75=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 150/75=2 Current State: 62:[64, 2], Operations: ['82+68=150', '150/75=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 80, 87, 32 ]
84
[ "80-51=29", "87-32=55", "29+55=84" ]
Current State: 84:[51, 80, 87, 32], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [87, 32, 29] Generated Node #2: [87, 32, 29] from Operation: 80-51=29 Current State: 84:[87, 32, 29], Operations: ['80-51=29'] Exploring Operation: 87-32=55, Resulting Numbers: [29, 55] Generated Node #3: [29, 55] from Operation: 87-32=55 Current State: 84:[29, 55], Operations: ['80-51=29', '87-32=55'] Exploring Operation: 29+55=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 70, 85, 5 ]
53
[ "97-70=27", "85-5=80", "80-27=53" ]
Current State: 53:[97, 70, 85, 5], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [85, 5, 27] Generated Node #2: [85, 5, 27] from Operation: 97-70=27 Current State: 53:[85, 5, 27], Operations: ['97-70=27'] Exploring Operation: 85-5=80, Resulting Numbers: [27, 80] Generated Node #3: [27, 80] from Operation: 85-5=80 Current State: 53:[27, 80], Operations: ['97-70=27', '85-5=80'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 29, 86, 87 ]
50
[ "78-29=49", "87-86=1", "49+1=50" ]
Current State: 50:[78, 29, 86, 87], Operations: [] Exploring Operation: 78-29=49, Resulting Numbers: [86, 87, 49] Generated Node #2: [86, 87, 49] from Operation: 78-29=49 Current State: 50:[86, 87, 49], Operations: ['78-29=49'] Exploring Operation: 87-86=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 87-86=1 Current State: 50:[49, 1], Operations: ['78-29=49', '87-86=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 7, 88, 23 ]
28
[ "7+88=95", "95/19=5", "23+5=28" ]
Current State: 28:[19, 7, 88, 23], Operations: [] Exploring Operation: 7+88=95, Resulting Numbers: [19, 23, 95] Generated Node #2: [19, 23, 95] from Operation: 7+88=95 Current State: 28:[19, 23, 95], Operations: ['7+88=95'] Exploring Operation: 95/19=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 95/19=5 Current State: 28:[23, 5], Operations: ['7+88=95', '95/19=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 8, 64, 10, 66 ]
26
[ "66-64=2", "8*2=16", "10+16=26" ]
Current State: 26:[8, 64, 10, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [8, 10, 2] Generated Node #2: [8, 10, 2] from Operation: 66-64=2 Current State: 26:[8, 10, 2], Operations: ['66-64=2'] Exploring Operation: 8*2=16, Resulting Numbers: [10, 16] Generated Node #3: [10, 16] from Operation: 8*2=16 Current State: 26:[10, 16], Operations: ['66-64=2', '8*2=16'] Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 61, 97, 82, 98 ]
52
[ "97-61=36", "98-82=16", "36+16=52" ]
Current State: 52:[61, 97, 82, 98], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [82, 98, 36] Generated Node #2: [82, 98, 36] from Operation: 97-61=36 Current State: 52:[82, 98, 36], Operations: ['97-61=36'] Exploring Operation: 98-82=16, Resulting Numbers: [36, 16] Generated Node #3: [36, 16] from Operation: 98-82=16 Current State: 52:[36, 16], Operations: ['97-61=36', '98-82=16'] Exploring Operation: 36+16=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 84, 39, 80 ]
32
[ "84-11=73", "80-39=41", "73-41=32" ]
Current State: 32:[11, 84, 39, 80], Operations: [] Exploring Operation: 84-11=73, Resulting Numbers: [39, 80, 73] Generated Node #2: [39, 80, 73] from Operation: 84-11=73 Current State: 32:[39, 80, 73], Operations: ['84-11=73'] Exploring Operation: 80-39=41, Resulting Numbers: [73, 41] Generated Node #3: [73, 41] from Operation: 80-39=41 Current State: 32:[73, 41], Operations: ['84-11=73', '80-39=41'] Exploring Operation: 73-41=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 23, 63, 32, 4 ]
50
[ "23+63=86", "32+4=36", "86-36=50" ]
Current State: 50:[23, 63, 32, 4], Operations: [] Exploring Operation: 23+63=86, Resulting Numbers: [32, 4, 86] Generated Node #2: [32, 4, 86] from Operation: 23+63=86 Current State: 50:[32, 4, 86], Operations: ['23+63=86'] Exploring Operation: 32+4=36, Resulting Numbers: [86, 36] Generated Node #3: [86, 36] from Operation: 32+4=36 Current State: 50:[86, 36], Operations: ['23+63=86', '32+4=36'] Exploring Operation: 86-36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 22, 20, 93 ]
86
[ "5+22=27", "20+93=113", "113-27=86" ]
Current State: 86:[5, 22, 20, 93], Operations: [] Exploring Operation: 5+22=27, Resulting Numbers: [20, 93, 27] Generated Node #2: [20, 93, 27] from Operation: 5+22=27 Current State: 86:[20, 93, 27], Operations: ['5+22=27'] Exploring Operation: 20+93=113, Resulting Numbers: [27, 113] Generated Node #3: [27, 113] from Operation: 20+93=113 Current State: 86:[27, 113], Operations: ['5+22=27', '20+93=113'] Exploring Operation: 113-27=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 31, 78, 86, 92 ]
69
[ "31+78=109", "86+92=178", "178-109=69" ]
Current State: 69:[31, 78, 86, 92], Operations: [] Exploring Operation: 31+78=109, Resulting Numbers: [86, 92, 109] Generated Node #2: [86, 92, 109] from Operation: 31+78=109 Current State: 69:[86, 92, 109], Operations: ['31+78=109'] Exploring Operation: 86+92=178, Resulting Numbers: [109, 178] Generated Node #3: [109, 178] from Operation: 86+92=178 Current State: 69:[109, 178], Operations: ['31+78=109', '86+92=178'] Exploring Operation: 178-109=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 77, 89, 3, 70 ]
40
[ "77+70=147", "147/3=49", "89-49=40" ]
Current State: 40:[77, 89, 3, 70], Operations: [] Exploring Operation: 77+70=147, Resulting Numbers: [89, 3, 147] Generated Node #2: [89, 3, 147] from Operation: 77+70=147 Current State: 40:[89, 3, 147], Operations: ['77+70=147'] Exploring Operation: 147/3=49, Resulting Numbers: [89, 49] Generated Node #3: [89, 49] from Operation: 147/3=49 Current State: 40:[89, 49], Operations: ['77+70=147', '147/3=49'] Exploring Operation: 89-49=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 86, 19, 27, 47 ]
86
[ "19+27=46", "47-46=1", "86*1=86" ]
Current State: 86:[86, 19, 27, 47], Operations: [] Exploring Operation: 19+27=46, Resulting Numbers: [86, 47, 46] Generated Node #2: [86, 47, 46] from Operation: 19+27=46 Current State: 86:[86, 47, 46], Operations: ['19+27=46'] Exploring Operation: 47-46=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 47-46=1 Current State: 86:[86, 1], Operations: ['19+27=46', '47-46=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 90, 99, 71 ]
26
[ "54+90=144", "99+71=170", "170-144=26" ]
Current State: 26:[54, 90, 99, 71], Operations: [] Exploring Operation: 54+90=144, Resulting Numbers: [99, 71, 144] Generated Node #2: [99, 71, 144] from Operation: 54+90=144 Current State: 26:[99, 71, 144], Operations: ['54+90=144'] Exploring Operation: 99+71=170, Resulting Numbers: [144, 170] Generated Node #3: [144, 170] from Operation: 99+71=170 Current State: 26:[144, 170], Operations: ['54+90=144', '99+71=170'] Exploring Operation: 170-144=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 8, 90, 65, 78 ]
83
[ "90*65=5850", "5850/78=75", "8+75=83" ]
Current State: 83:[8, 90, 65, 78], Operations: [] Exploring Operation: 90*65=5850, Resulting Numbers: [8, 78, 5850] Generated Node #2: [8, 78, 5850] from Operation: 90*65=5850 Current State: 83:[8, 78, 5850], Operations: ['90*65=5850'] Exploring Operation: 5850/78=75, Resulting Numbers: [8, 75] Generated Node #3: [8, 75] from Operation: 5850/78=75 Current State: 83:[8, 75], Operations: ['90*65=5850', '5850/78=75'] Exploring Operation: 8+75=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 89, 35, 91 ]
17
[ "89-50=39", "91-35=56", "56-39=17" ]
Current State: 17:[50, 89, 35, 91], Operations: [] Exploring Operation: 89-50=39, Resulting Numbers: [35, 91, 39] Generated Node #2: [35, 91, 39] from Operation: 89-50=39 Current State: 17:[35, 91, 39], Operations: ['89-50=39'] Exploring Operation: 91-35=56, Resulting Numbers: [39, 56] Generated Node #3: [39, 56] from Operation: 91-35=56 Current State: 17:[39, 56], Operations: ['89-50=39', '91-35=56'] Exploring Operation: 56-39=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 72, 79, 69 ]
97
[ "79-72=7", "4*7=28", "69+28=97" ]
Current State: 97:[4, 72, 79, 69], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [4, 69, 7] Generated Node #2: [4, 69, 7] from Operation: 79-72=7 Current State: 97:[4, 69, 7], Operations: ['79-72=7'] Exploring Operation: 4*7=28, Resulting Numbers: [69, 28] Generated Node #3: [69, 28] from Operation: 4*7=28 Current State: 97:[69, 28], Operations: ['79-72=7', '4*7=28'] Exploring Operation: 69+28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 80, 96, 90 ]
91
[ "17+80=97", "96-90=6", "97-6=91" ]
Current State: 91:[17, 80, 96, 90], Operations: [] Exploring Operation: 17+80=97, Resulting Numbers: [96, 90, 97] Generated Node #2: [96, 90, 97] from Operation: 17+80=97 Current State: 91:[96, 90, 97], Operations: ['17+80=97'] Exploring Operation: 96-90=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 96-90=6 Current State: 91:[97, 6], Operations: ['17+80=97', '96-90=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 61, 16, 88 ]
83
[ "16-12=4", "88/4=22", "61+22=83" ]
Current State: 83:[12, 61, 16, 88], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [61, 88, 4] Generated Node #2: [61, 88, 4] from Operation: 16-12=4 Current State: 83:[61, 88, 4], Operations: ['16-12=4'] Exploring Operation: 88/4=22, Resulting Numbers: [61, 22] Generated Node #3: [61, 22] from Operation: 88/4=22 Current State: 83:[61, 22], Operations: ['16-12=4', '88/4=22'] Exploring Operation: 61+22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 44, 45, 8 ]
95
[ "86-44=42", "45+8=53", "42+53=95" ]
Current State: 95:[86, 44, 45, 8], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [45, 8, 42] Generated Node #2: [45, 8, 42] from Operation: 86-44=42 Current State: 95:[45, 8, 42], Operations: ['86-44=42'] Exploring Operation: 45+8=53, Resulting Numbers: [42, 53] Generated Node #3: [42, 53] from Operation: 45+8=53 Current State: 95:[42, 53], Operations: ['86-44=42', '45+8=53'] Exploring Operation: 42+53=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 10, 6, 6 ]
49
[ "27+10=37", "6+6=12", "37+12=49" ]
Current State: 49:[27, 10, 6, 6], Operations: [] Exploring Operation: 27+10=37, Resulting Numbers: [6, 6, 37] Generated Node #2: [6, 6, 37] from Operation: 27+10=37 Current State: 49:[6, 6, 37], Operations: ['27+10=37'] Exploring Operation: 6+6=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 6+6=12 Current State: 49:[37, 12], Operations: ['27+10=37', '6+6=12'] Exploring Operation: 37+12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 51, 20, 84 ]
67
[ "51/17=3", "84-20=64", "3+64=67" ]
Current State: 67:[17, 51, 20, 84], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [20, 84, 3] Generated Node #2: [20, 84, 3] from Operation: 51/17=3 Current State: 67:[20, 84, 3], Operations: ['51/17=3'] Exploring Operation: 84-20=64, Resulting Numbers: [3, 64] Generated Node #3: [3, 64] from Operation: 84-20=64 Current State: 67:[3, 64], Operations: ['51/17=3', '84-20=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 66, 73, 12, 3 ]
29
[ "73-66=7", "12*3=36", "36-7=29" ]
Current State: 29:[66, 73, 12, 3], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [12, 3, 7] Generated Node #2: [12, 3, 7] from Operation: 73-66=7 Current State: 29:[12, 3, 7], Operations: ['73-66=7'] Exploring Operation: 12*3=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 12*3=36 Current State: 29:[7, 36], Operations: ['73-66=7', '12*3=36'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 45, 54, 46, 24 ]
15
[ "54-46=8", "45*8=360", "360/24=15" ]
Current State: 15:[45, 54, 46, 24], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [45, 24, 8] Generated Node #2: [45, 24, 8] from Operation: 54-46=8 Current State: 15:[45, 24, 8], Operations: ['54-46=8'] Exploring Operation: 45*8=360, Resulting Numbers: [24, 360] Generated Node #3: [24, 360] from Operation: 45*8=360 Current State: 15:[24, 360], Operations: ['54-46=8', '45*8=360'] Exploring Operation: 360/24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 4, 27, 33 ]
82
[ "77-27=50", "4*33=132", "132-50=82" ]
Current State: 82:[77, 4, 27, 33], Operations: [] Exploring Operation: 77-27=50, Resulting Numbers: [4, 33, 50] Generated Node #2: [4, 33, 50] from Operation: 77-27=50 Current State: 82:[4, 33, 50], Operations: ['77-27=50'] Exploring Operation: 4*33=132, Resulting Numbers: [50, 132] Generated Node #3: [50, 132] from Operation: 4*33=132 Current State: 82:[50, 132], Operations: ['77-27=50', '4*33=132'] Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 92, 20, 46, 94 ]
37
[ "92/46=2", "94-20=74", "74/2=37" ]
Current State: 37:[92, 20, 46, 94], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [20, 94, 2] Generated Node #2: [20, 94, 2] from Operation: 92/46=2 Current State: 37:[20, 94, 2], Operations: ['92/46=2'] Exploring Operation: 94-20=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 94-20=74 Current State: 37:[2, 74], Operations: ['92/46=2', '94-20=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 42, 14, 15 ]
85
[ "44+42=86", "15-14=1", "86-1=85" ]
Current State: 85:[44, 42, 14, 15], Operations: [] Exploring Operation: 44+42=86, Resulting Numbers: [14, 15, 86] Generated Node #2: [14, 15, 86] from Operation: 44+42=86 Current State: 85:[14, 15, 86], Operations: ['44+42=86'] Exploring Operation: 15-14=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 15-14=1 Current State: 85:[86, 1], Operations: ['44+42=86', '15-14=1'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 86, 8, 4 ]
38
[ "86+4=90", "90/3=30", "8+30=38" ]
Current State: 38:[3, 86, 8, 4], Operations: [] Exploring Operation: 86+4=90, Resulting Numbers: [3, 8, 90] Generated Node #2: [3, 8, 90] from Operation: 86+4=90 Current State: 38:[3, 8, 90], Operations: ['86+4=90'] Exploring Operation: 90/3=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 90/3=30 Current State: 38:[8, 30], Operations: ['86+4=90', '90/3=30'] Exploring Operation: 8+30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 48, 96, 28, 94 ]
64
[ "96/48=2", "94-28=66", "66-2=64" ]
Current State: 64:[48, 96, 28, 94], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [28, 94, 2] Generated Node #2: [28, 94, 2] from Operation: 96/48=2 Current State: 64:[28, 94, 2], Operations: ['96/48=2'] Exploring Operation: 94-28=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 94-28=66 Current State: 64:[2, 66], Operations: ['96/48=2', '94-28=66'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 83, 52, 95 ]
92
[ "2*52=104", "95-83=12", "104-12=92" ]
Current State: 92:[2, 83, 52, 95], Operations: [] Exploring Operation: 2*52=104, Resulting Numbers: [83, 95, 104] Generated Node #2: [83, 95, 104] from Operation: 2*52=104 Current State: 92:[83, 95, 104], Operations: ['2*52=104'] Exploring Operation: 95-83=12, Resulting Numbers: [104, 12] Generated Node #3: [104, 12] from Operation: 95-83=12 Current State: 92:[104, 12], Operations: ['2*52=104', '95-83=12'] Exploring Operation: 104-12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 21, 75, 40 ]
45
[ "63/21=3", "40*3=120", "120-75=45" ]
Current State: 45:[63, 21, 75, 40], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [75, 40, 3] Generated Node #2: [75, 40, 3] from Operation: 63/21=3 Current State: 45:[75, 40, 3], Operations: ['63/21=3'] Exploring Operation: 40*3=120, Resulting Numbers: [75, 120] Generated Node #3: [75, 120] from Operation: 40*3=120 Current State: 45:[75, 120], Operations: ['63/21=3', '40*3=120'] Exploring Operation: 120-75=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 71, 20, 12, 40 ]
39
[ "71+20=91", "12+40=52", "91-52=39" ]
Current State: 39:[71, 20, 12, 40], Operations: [] Exploring Operation: 71+20=91, Resulting Numbers: [12, 40, 91] Generated Node #2: [12, 40, 91] from Operation: 71+20=91 Current State: 39:[12, 40, 91], Operations: ['71+20=91'] Exploring Operation: 12+40=52, Resulting Numbers: [91, 52] Generated Node #3: [91, 52] from Operation: 12+40=52 Current State: 39:[91, 52], Operations: ['71+20=91', '12+40=52'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 96, 72, 64, 22 ]
26
[ "72*64=4608", "4608/96=48", "48-22=26" ]
Current State: 26:[96, 72, 64, 22], Operations: [] Exploring Operation: 72*64=4608, Resulting Numbers: [96, 22, 4608] Generated Node #2: [96, 22, 4608] from Operation: 72*64=4608 Current State: 26:[96, 22, 4608], Operations: ['72*64=4608'] Exploring Operation: 4608/96=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 4608/96=48 Current State: 26:[22, 48], Operations: ['72*64=4608', '4608/96=48'] Exploring Operation: 48-22=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 93, 72, 49, 93 ]
49
[ "93-93=0", "72*0=0", "49+0=49" ]
Current State: 49:[93, 72, 49, 93], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [72, 49, 0] Generated Node #2: [72, 49, 0] from Operation: 93-93=0 Current State: 49:[72, 49, 0], Operations: ['93-93=0'] Exploring Operation: 72*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 72*0=0 Current State: 49:[49, 0], Operations: ['93-93=0', '72*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 43, 48, 40, 74 ]
29
[ "48-43=5", "74-40=34", "34-5=29" ]
Current State: 29:[43, 48, 40, 74], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [40, 74, 5] Generated Node #2: [40, 74, 5] from Operation: 48-43=5 Current State: 29:[40, 74, 5], Operations: ['48-43=5'] Exploring Operation: 74-40=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 74-40=34 Current State: 29:[5, 34], Operations: ['48-43=5', '74-40=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 87, 27, 56 ]
73
[ "27-23=4", "56/4=14", "87-14=73" ]
Current State: 73:[23, 87, 27, 56], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [87, 56, 4] Generated Node #2: [87, 56, 4] from Operation: 27-23=4 Current State: 73:[87, 56, 4], Operations: ['27-23=4'] Exploring Operation: 56/4=14, Resulting Numbers: [87, 14] Generated Node #3: [87, 14] from Operation: 56/4=14 Current State: 73:[87, 14], Operations: ['27-23=4', '56/4=14'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 23, 11, 95 ]
59
[ "23-11=12", "3*12=36", "95-36=59" ]
Current State: 59:[3, 23, 11, 95], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [3, 95, 12] Generated Node #2: [3, 95, 12] from Operation: 23-11=12 Current State: 59:[3, 95, 12], Operations: ['23-11=12'] Exploring Operation: 3*12=36, Resulting Numbers: [95, 36] Generated Node #3: [95, 36] from Operation: 3*12=36 Current State: 59:[95, 36], Operations: ['23-11=12', '3*12=36'] Exploring Operation: 95-36=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 88, 85, 4 ]
71
[ "88-85=3", "4*3=12", "83-12=71" ]
Current State: 71:[83, 88, 85, 4], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [83, 4, 3] Generated Node #2: [83, 4, 3] from Operation: 88-85=3 Current State: 71:[83, 4, 3], Operations: ['88-85=3'] Exploring Operation: 4*3=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 4*3=12 Current State: 71:[83, 12], Operations: ['88-85=3', '4*3=12'] Exploring Operation: 83-12=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 4, 8, 27 ]
15
[ "33+27=60", "8-4=4", "60/4=15" ]
Current State: 15:[33, 4, 8, 27], Operations: [] Exploring Operation: 33+27=60, Resulting Numbers: [4, 8, 60] Generated Node #2: [4, 8, 60] from Operation: 33+27=60 Current State: 15:[4, 8, 60], Operations: ['33+27=60'] Exploring Operation: 8-4=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 8-4=4 Current State: 15:[60, 4], Operations: ['33+27=60', '8-4=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 18, 32, 54 ]
99
[ "18+54=72", "44*72=3168", "3168/32=99" ]
Current State: 99:[44, 18, 32, 54], Operations: [] Exploring Operation: 18+54=72, Resulting Numbers: [44, 32, 72] Generated Node #2: [44, 32, 72] from Operation: 18+54=72 Current State: 99:[44, 32, 72], Operations: ['18+54=72'] Exploring Operation: 44*72=3168, Resulting Numbers: [32, 3168] Generated Node #3: [32, 3168] from Operation: 44*72=3168 Current State: 99:[32, 3168], Operations: ['18+54=72', '44*72=3168'] Exploring Operation: 3168/32=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 53, 77, 72, 11 ]
37
[ "77-53=24", "72-11=61", "61-24=37" ]
Current State: 37:[53, 77, 72, 11], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [72, 11, 24] Generated Node #2: [72, 11, 24] from Operation: 77-53=24 Current State: 37:[72, 11, 24], Operations: ['77-53=24'] Exploring Operation: 72-11=61, Resulting Numbers: [24, 61] Generated Node #3: [24, 61] from Operation: 72-11=61 Current State: 37:[24, 61], Operations: ['77-53=24', '72-11=61'] Exploring Operation: 61-24=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 89, 56, 74 ]
36
[ "77+89=166", "56+74=130", "166-130=36" ]
Current State: 36:[77, 89, 56, 74], Operations: [] Exploring Operation: 77+89=166, Resulting Numbers: [56, 74, 166] Generated Node #2: [56, 74, 166] from Operation: 77+89=166 Current State: 36:[56, 74, 166], Operations: ['77+89=166'] Exploring Operation: 56+74=130, Resulting Numbers: [166, 130] Generated Node #3: [166, 130] from Operation: 56+74=130 Current State: 36:[166, 130], Operations: ['77+89=166', '56+74=130'] Exploring Operation: 166-130=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 17, 2, 3, 64 ]
29
[ "17+64=81", "81/3=27", "2+27=29" ]
Current State: 29:[17, 2, 3, 64], Operations: [] Exploring Operation: 17+64=81, Resulting Numbers: [2, 3, 81] Generated Node #2: [2, 3, 81] from Operation: 17+64=81 Current State: 29:[2, 3, 81], Operations: ['17+64=81'] Exploring Operation: 81/3=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 81/3=27 Current State: 29:[2, 27], Operations: ['17+64=81', '81/3=27'] Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 67, 99, 3 ]
16
[ "99+3=102", "102/2=51", "67-51=16" ]
Current State: 16:[2, 67, 99, 3], Operations: [] Exploring Operation: 99+3=102, Resulting Numbers: [2, 67, 102] Generated Node #2: [2, 67, 102] from Operation: 99+3=102 Current State: 16:[2, 67, 102], Operations: ['99+3=102'] Exploring Operation: 102/2=51, Resulting Numbers: [67, 51] Generated Node #3: [67, 51] from Operation: 102/2=51 Current State: 16:[67, 51], Operations: ['99+3=102', '102/2=51'] Exploring Operation: 67-51=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 39, 53, 82, 92 ]
82
[ "39+53=92", "82+92=174", "174-92=82" ]
Current State: 82:[39, 53, 82, 92], Operations: [] Exploring Operation: 39+53=92, Resulting Numbers: [82, 92, 92] Generated Node #2: [82, 92, 92] from Operation: 39+53=92 Current State: 82:[82, 92, 92], Operations: ['39+53=92'] Exploring Operation: 82+92=174, Resulting Numbers: [174] 174,82 equal: Goal Reached Exploring Operation: 174-92=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 80, 44, 23, 84 ]
46
[ "80*23=1840", "84-44=40", "1840/40=46" ]
Current State: 46:[80, 44, 23, 84], Operations: [] Exploring Operation: 80*23=1840, Resulting Numbers: [44, 84, 1840] Generated Node #2: [44, 84, 1840] from Operation: 80*23=1840 Current State: 46:[44, 84, 1840], Operations: ['80*23=1840'] Exploring Operation: 84-44=40, Resulting Numbers: [1840, 40] Generated Node #3: [1840, 40] from Operation: 84-44=40 Current State: 46:[1840, 40], Operations: ['80*23=1840', '84-44=40'] Exploring Operation: 1840/40=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 81, 3, 35 ]
12
[ "59+81=140", "3*140=420", "420/35=12" ]
Current State: 12:[59, 81, 3, 35], Operations: [] Exploring Operation: 59+81=140, Resulting Numbers: [3, 35, 140] Generated Node #2: [3, 35, 140] from Operation: 59+81=140 Current State: 12:[3, 35, 140], Operations: ['59+81=140'] Exploring Operation: 3*140=420, Resulting Numbers: [35, 420] Generated Node #3: [35, 420] from Operation: 3*140=420 Current State: 12:[35, 420], Operations: ['59+81=140', '3*140=420'] Exploring Operation: 420/35=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 82, 71, 76, 48 ]
63
[ "82-76=6", "48/6=8", "71-8=63" ]
Current State: 63:[82, 71, 76, 48], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [71, 48, 6] Generated Node #2: [71, 48, 6] from Operation: 82-76=6 Current State: 63:[71, 48, 6], Operations: ['82-76=6'] Exploring Operation: 48/6=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 48/6=8 Current State: 63:[71, 8], Operations: ['82-76=6', '48/6=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 50, 48, 5 ]
34
[ "48/2=24", "50/5=10", "24+10=34" ]
Current State: 34:[2, 50, 48, 5], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [50, 5, 24] Generated Node #2: [50, 5, 24] from Operation: 48/2=24 Current State: 34:[50, 5, 24], Operations: ['48/2=24'] Exploring Operation: 50/5=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 50/5=10 Current State: 34:[24, 10], Operations: ['48/2=24', '50/5=10'] Exploring Operation: 24+10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 33, 11, 24, 18 ]
63
[ "33-24=9", "18-11=7", "9*7=63" ]
Current State: 63:[33, 11, 24, 18], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [11, 18, 9] Generated Node #2: [11, 18, 9] from Operation: 33-24=9 Current State: 63:[11, 18, 9], Operations: ['33-24=9'] Exploring Operation: 18-11=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 18-11=7 Current State: 63:[9, 7], Operations: ['33-24=9', '18-11=7'] Exploring Operation: 9*7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 38, 2, 18 ]
64
[ "69-18=51", "2*51=102", "102-38=64" ]
Current State: 64:[69, 38, 2, 18], Operations: [] Exploring Operation: 69-18=51, Resulting Numbers: [38, 2, 51] Generated Node #2: [38, 2, 51] from Operation: 69-18=51 Current State: 64:[38, 2, 51], Operations: ['69-18=51'] Exploring Operation: 2*51=102, Resulting Numbers: [38, 102] Generated Node #3: [38, 102] from Operation: 2*51=102 Current State: 64:[38, 102], Operations: ['69-18=51', '2*51=102'] Exploring Operation: 102-38=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 88, 8, 8 ]
58
[ "88-31=57", "8/8=1", "57+1=58" ]
Current State: 58:[31, 88, 8, 8], Operations: [] Exploring Operation: 88-31=57, Resulting Numbers: [8, 8, 57] Generated Node #2: [8, 8, 57] from Operation: 88-31=57 Current State: 58:[8, 8, 57], Operations: ['88-31=57'] Exploring Operation: 8/8=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 8/8=1 Current State: 58:[57, 1], Operations: ['88-31=57', '8/8=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 94, 33, 81 ]
66
[ "94-15=79", "81-79=2", "33*2=66" ]
Current State: 66:[15, 94, 33, 81], Operations: [] Exploring Operation: 94-15=79, Resulting Numbers: [33, 81, 79] Generated Node #2: [33, 81, 79] from Operation: 94-15=79 Current State: 66:[33, 81, 79], Operations: ['94-15=79'] Exploring Operation: 81-79=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 81-79=2 Current State: 66:[33, 2], Operations: ['94-15=79', '81-79=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 87, 58, 44 ]
73
[ "87*44=3828", "3828/58=66", "7+66=73" ]
Current State: 73:[7, 87, 58, 44], Operations: [] Exploring Operation: 87*44=3828, Resulting Numbers: [7, 58, 3828] Generated Node #2: [7, 58, 3828] from Operation: 87*44=3828 Current State: 73:[7, 58, 3828], Operations: ['87*44=3828'] Exploring Operation: 3828/58=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 3828/58=66 Current State: 73:[7, 66], Operations: ['87*44=3828', '3828/58=66'] Exploring Operation: 7+66=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 70, 71, 12, 35 ]
73
[ "71-35=36", "36/12=3", "70+3=73" ]
Current State: 73:[70, 71, 12, 35], Operations: [] Exploring Operation: 71-35=36, Resulting Numbers: [70, 12, 36] Generated Node #2: [70, 12, 36] from Operation: 71-35=36 Current State: 73:[70, 12, 36], Operations: ['71-35=36'] Exploring Operation: 36/12=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 36/12=3 Current State: 73:[70, 3], Operations: ['71-35=36', '36/12=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 76, 37, 13, 38 ]
52
[ "76/38=2", "37+13=50", "2+50=52" ]
Current State: 52:[76, 37, 13, 38], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [37, 13, 2] Generated Node #2: [37, 13, 2] from Operation: 76/38=2 Current State: 52:[37, 13, 2], Operations: ['76/38=2'] Exploring Operation: 37+13=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 37+13=50 Current State: 52:[2, 50], Operations: ['76/38=2', '37+13=50'] Exploring Operation: 2+50=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 16, 76, 68 ]
32
[ "11*16=176", "76+68=144", "176-144=32" ]
Current State: 32:[11, 16, 76, 68], Operations: [] Exploring Operation: 11*16=176, Resulting Numbers: [76, 68, 176] Generated Node #2: [76, 68, 176] from Operation: 11*16=176 Current State: 32:[76, 68, 176], Operations: ['11*16=176'] Exploring Operation: 76+68=144, Resulting Numbers: [176, 144] Generated Node #3: [176, 144] from Operation: 76+68=144 Current State: 32:[176, 144], Operations: ['11*16=176', '76+68=144'] Exploring Operation: 176-144=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 92, 92, 1, 30 ]
15
[ "92/92=1", "1+1=2", "30/2=15" ]
Current State: 15:[92, 92, 1, 30], Operations: [] Exploring Operation: 92/92=1, Resulting Numbers: [1, 30, 1] Generated Node #2: [1, 30, 1] from Operation: 92/92=1 Current State: 15:[1, 30, 1], Operations: ['92/92=1'] Exploring Operation: 1+1=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 1+1=2 Current State: 15:[30, 2], Operations: ['92/92=1', '1+1=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 86, 39, 85 ]
14
[ "86-26=60", "85-39=46", "60-46=14" ]
Current State: 14:[26, 86, 39, 85], Operations: [] Exploring Operation: 86-26=60, Resulting Numbers: [39, 85, 60] Generated Node #2: [39, 85, 60] from Operation: 86-26=60 Current State: 14:[39, 85, 60], Operations: ['86-26=60'] Exploring Operation: 85-39=46, Resulting Numbers: [60, 46] Generated Node #3: [60, 46] from Operation: 85-39=46 Current State: 14:[60, 46], Operations: ['86-26=60', '85-39=46'] Exploring Operation: 60-46=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 20, 10, 44 ]
78
[ "22-20=2", "44*2=88", "88-10=78" ]
Current State: 78:[22, 20, 10, 44], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [10, 44, 2] Generated Node #2: [10, 44, 2] from Operation: 22-20=2 Current State: 78:[10, 44, 2], Operations: ['22-20=2'] Exploring Operation: 44*2=88, Resulting Numbers: [10, 88] Generated Node #3: [10, 88] from Operation: 44*2=88 Current State: 78:[10, 88], Operations: ['22-20=2', '44*2=88'] Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 49, 36, 70, 74 ]
81
[ "49+36=85", "74-70=4", "85-4=81" ]
Current State: 81:[49, 36, 70, 74], Operations: [] Exploring Operation: 49+36=85, Resulting Numbers: [70, 74, 85] Generated Node #2: [70, 74, 85] from Operation: 49+36=85 Current State: 81:[70, 74, 85], Operations: ['49+36=85'] Exploring Operation: 74-70=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 74-70=4 Current State: 81:[85, 4], Operations: ['49+36=85', '74-70=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 49, 20, 11 ]
59
[ "30*20=600", "49+600=649", "649/11=59" ]
Current State: 59:[30, 49, 20, 11], Operations: [] Exploring Operation: 30*20=600, Resulting Numbers: [49, 11, 600] Generated Node #2: [49, 11, 600] from Operation: 30*20=600 Current State: 59:[49, 11, 600], Operations: ['30*20=600'] Exploring Operation: 49+600=649, Resulting Numbers: [11, 649] Generated Node #3: [11, 649] from Operation: 49+600=649 Current State: 59:[11, 649], Operations: ['30*20=600', '49+600=649'] Exploring Operation: 649/11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 87, 87, 45 ]
42
[ "45-4=41", "87/87=1", "41+1=42" ]
Current State: 42:[4, 87, 87, 45], Operations: [] Exploring Operation: 45-4=41, Resulting Numbers: [87, 87, 41] Generated Node #2: [87, 87, 41] from Operation: 45-4=41 Current State: 42:[87, 87, 41], Operations: ['45-4=41'] Exploring Operation: 87/87=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 87/87=1 Current State: 42:[41, 1], Operations: ['45-4=41', '87/87=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 71, 55, 40 ]
57
[ "71-40=31", "62/31=2", "55+2=57" ]
Current State: 57:[62, 71, 55, 40], Operations: [] Exploring Operation: 71-40=31, Resulting Numbers: [62, 55, 31] Generated Node #2: [62, 55, 31] from Operation: 71-40=31 Current State: 57:[62, 55, 31], Operations: ['71-40=31'] Exploring Operation: 62/31=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 62/31=2 Current State: 57:[55, 2], Operations: ['71-40=31', '62/31=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 82, 47, 4 ]
76
[ "30+82=112", "47*4=188", "188-112=76" ]
Current State: 76:[30, 82, 47, 4], Operations: [] Exploring Operation: 30+82=112, Resulting Numbers: [47, 4, 112] Generated Node #2: [47, 4, 112] from Operation: 30+82=112 Current State: 76:[47, 4, 112], Operations: ['30+82=112'] Exploring Operation: 47*4=188, Resulting Numbers: [112, 188] Generated Node #3: [112, 188] from Operation: 47*4=188 Current State: 76:[112, 188], Operations: ['30+82=112', '47*4=188'] Exploring Operation: 188-112=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 10, 49, 54, 64 ]
59
[ "10+49=59", "54+64=118", "118-59=59" ]
Current State: 59:[10, 49, 54, 64], Operations: [] Exploring Operation: 10+49=59, Resulting Numbers: [54, 64, 59] Generated Node #2: [54, 64, 59] from Operation: 10+49=59 Current State: 59:[54, 64, 59], Operations: ['10+49=59'] Exploring Operation: 54+64=118, Resulting Numbers: [59, 118] Generated Node #3: [59, 118] from Operation: 54+64=118 Current State: 59:[59, 118], Operations: ['10+49=59', '54+64=118'] Exploring Operation: 118-59=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 61, 92, 3 ]
79
[ "61-4=57", "3*57=171", "171-92=79" ]
Current State: 79:[4, 61, 92, 3], Operations: [] Exploring Operation: 61-4=57, Resulting Numbers: [92, 3, 57] Generated Node #2: [92, 3, 57] from Operation: 61-4=57 Current State: 79:[92, 3, 57], Operations: ['61-4=57'] Exploring Operation: 3*57=171, Resulting Numbers: [92, 171] Generated Node #3: [92, 171] from Operation: 3*57=171 Current State: 79:[92, 171], Operations: ['61-4=57', '3*57=171'] Exploring Operation: 171-92=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 11, 79, 68, 85 ]
84
[ "79-11=68", "68/68=1", "85-1=84" ]
Current State: 84:[11, 79, 68, 85], Operations: [] Exploring Operation: 79-11=68, Resulting Numbers: [68, 85, 68] Generated Node #2: [68, 85, 68] from Operation: 79-11=68 Current State: 84:[68, 85, 68], Operations: ['79-11=68'] Exploring Operation: 68/68=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 68/68=1 Current State: 84:[85, 1], Operations: ['79-11=68', '68/68=1'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 1, 1, 89, 94 ]
10
[ "1+1=2", "94-89=5", "2*5=10" ]
Current State: 10:[1, 1, 89, 94], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [89, 94, 2] Generated Node #2: [89, 94, 2] from Operation: 1+1=2 Current State: 10:[89, 94, 2], Operations: ['1+1=2'] Exploring Operation: 94-89=5, Resulting Numbers: [2, 5] Generated Node #3: [2, 5] from Operation: 94-89=5 Current State: 10:[2, 5], Operations: ['1+1=2', '94-89=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 53, 45, 24, 12 ]
44
[ "53-45=8", "24+12=36", "8+36=44" ]
Current State: 44:[53, 45, 24, 12], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [24, 12, 8] Generated Node #2: [24, 12, 8] from Operation: 53-45=8 Current State: 44:[24, 12, 8], Operations: ['53-45=8'] Exploring Operation: 24+12=36, Resulting Numbers: [8, 36] Generated Node #3: [8, 36] from Operation: 24+12=36 Current State: 44:[8, 36], Operations: ['53-45=8', '24+12=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 4, 66, 85 ]
61
[ "84-4=80", "85-66=19", "80-19=61" ]
Current State: 61:[84, 4, 66, 85], Operations: [] Exploring Operation: 84-4=80, Resulting Numbers: [66, 85, 80] Generated Node #2: [66, 85, 80] from Operation: 84-4=80 Current State: 61:[66, 85, 80], Operations: ['84-4=80'] Exploring Operation: 85-66=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 85-66=19 Current State: 61:[80, 19], Operations: ['84-4=80', '85-66=19'] Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 22, 41, 70, 2 ]
91
[ "41-22=19", "70+2=72", "19+72=91" ]
Current State: 91:[22, 41, 70, 2], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [70, 2, 19] Generated Node #2: [70, 2, 19] from Operation: 41-22=19 Current State: 91:[70, 2, 19], Operations: ['41-22=19'] Exploring Operation: 70+2=72, Resulting Numbers: [19, 72] Generated Node #3: [19, 72] from Operation: 70+2=72 Current State: 91:[19, 72], Operations: ['41-22=19', '70+2=72'] Exploring Operation: 19+72=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 43, 26, 54 ]
42
[ "80-26=54", "54/54=1", "43-1=42" ]
Current State: 42:[80, 43, 26, 54], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [43, 54, 54] Generated Node #2: [43, 54, 54] from Operation: 80-26=54 Current State: 42:[43, 54, 54], Operations: ['80-26=54'] Exploring Operation: 54/54=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 54/54=1 Current State: 42:[43, 1], Operations: ['80-26=54', '54/54=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 88, 70, 67 ]
61
[ "70-67=3", "9*3=27", "88-27=61" ]
Current State: 61:[9, 88, 70, 67], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [9, 88, 3] Generated Node #2: [9, 88, 3] from Operation: 70-67=3 Current State: 61:[9, 88, 3], Operations: ['70-67=3'] Exploring Operation: 9*3=27, Resulting Numbers: [88, 27] Generated Node #3: [88, 27] from Operation: 9*3=27 Current State: 61:[88, 27], Operations: ['70-67=3', '9*3=27'] Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4