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
[ 48, 42, 7, 22 ]
35
[ "48-42=6", "7+22=29", "6+29=35" ]
Current State: 35:[48, 42, 7, 22], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [7, 22, 6] Generated Node #2: [7, 22, 6] from Operation: 48-42=6 Current State: 35:[7, 22, 6], Operations: ['48-42=6'] Exploring Operation: 7+22=29, Resulting Numbers: [6, 29] Generated Node #3: [6, 29] from Operation: 7+22=29 Current State: 35:[6, 29], Operations: ['48-42=6', '7+22=29'] Exploring Operation: 6+29=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 82, 73, 41 ]
86
[ "82-73=9", "5*9=45", "41+45=86" ]
Current State: 86:[5, 82, 73, 41], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [5, 41, 9] Generated Node #2: [5, 41, 9] from Operation: 82-73=9 Current State: 86:[5, 41, 9], Operations: ['82-73=9'] Exploring Operation: 5*9=45, Resulting Numbers: [41, 45] Generated Node #3: [41, 45] from Operation: 5*9=45 Current State: 86:[41, 45], Operations: ['82-73=9', '5*9=45'] Exploring Operation: 41+45=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 70, 46, 8 ]
25
[ "70-46=24", "24/8=3", "28-3=25" ]
Current State: 25:[28, 70, 46, 8], Operations: [] Exploring Operation: 70-46=24, Resulting Numbers: [28, 8, 24] Generated Node #2: [28, 8, 24] from Operation: 70-46=24 Current State: 25:[28, 8, 24], Operations: ['70-46=24'] Exploring Operation: 24/8=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 24/8=3 Current State: 25:[28, 3], Operations: ['70-46=24', '24/8=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 38, 25, 27 ]
76
[ "27-25=2", "38/2=19", "95-19=76" ]
Current State: 76:[95, 38, 25, 27], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [95, 38, 2] Generated Node #2: [95, 38, 2] from Operation: 27-25=2 Current State: 76:[95, 38, 2], Operations: ['27-25=2'] Exploring Operation: 38/2=19, Resulting Numbers: [95, 19] Generated Node #3: [95, 19] from Operation: 38/2=19 Current State: 76:[95, 19], Operations: ['27-25=2', '38/2=19'] Exploring Operation: 95-19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 59, 5, 28, 86 ]
57
[ "59+86=145", "145/5=29", "28+29=57" ]
Current State: 57:[59, 5, 28, 86], Operations: [] Exploring Operation: 59+86=145, Resulting Numbers: [5, 28, 145] Generated Node #2: [5, 28, 145] from Operation: 59+86=145 Current State: 57:[5, 28, 145], Operations: ['59+86=145'] Exploring Operation: 145/5=29, Resulting Numbers: [28, 29] Generated Node #3: [28, 29] from Operation: 145/5=29 Current State: 57:[28, 29], Operations: ['59+86=145', '145/5=29'] Exploring Operation: 28+29=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 2, 39, 30, 5 ]
17
[ "5-2=3", "39/3=13", "30-13=17" ]
Current State: 17:[2, 39, 30, 5], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [39, 30, 3] Generated Node #2: [39, 30, 3] from Operation: 5-2=3 Current State: 17:[39, 30, 3], Operations: ['5-2=3'] Exploring Operation: 39/3=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 39/3=13 Current State: 17:[30, 13], Operations: ['5-2=3', '39/3=13'] Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 92, 26, 30 ]
40
[ "30/15=2", "26*2=52", "92-52=40" ]
Current State: 40:[15, 92, 26, 30], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [92, 26, 2] Generated Node #2: [92, 26, 2] from Operation: 30/15=2 Current State: 40:[92, 26, 2], Operations: ['30/15=2'] Exploring Operation: 26*2=52, Resulting Numbers: [92, 52] Generated Node #3: [92, 52] from Operation: 26*2=52 Current State: 40:[92, 52], Operations: ['30/15=2', '26*2=52'] Exploring Operation: 92-52=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 63, 68, 89 ]
82
[ "63-2=61", "89-68=21", "61+21=82" ]
Current State: 82:[2, 63, 68, 89], Operations: [] Exploring Operation: 63-2=61, Resulting Numbers: [68, 89, 61] Generated Node #2: [68, 89, 61] from Operation: 63-2=61 Current State: 82:[68, 89, 61], Operations: ['63-2=61'] Exploring Operation: 89-68=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 89-68=21 Current State: 82:[61, 21], Operations: ['63-2=61', '89-68=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 40, 42, 54 ]
78
[ "50+40=90", "54-42=12", "90-12=78" ]
Current State: 78:[50, 40, 42, 54], Operations: [] Exploring Operation: 50+40=90, Resulting Numbers: [42, 54, 90] Generated Node #2: [42, 54, 90] from Operation: 50+40=90 Current State: 78:[42, 54, 90], Operations: ['50+40=90'] Exploring Operation: 54-42=12, Resulting Numbers: [90, 12] Generated Node #3: [90, 12] from Operation: 54-42=12 Current State: 78:[90, 12], Operations: ['50+40=90', '54-42=12'] Exploring Operation: 90-12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 71, 96, 99, 45 ]
55
[ "96-71=25", "99*25=2475", "2475/45=55" ]
Current State: 55:[71, 96, 99, 45], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [99, 45, 25] Generated Node #2: [99, 45, 25] from Operation: 96-71=25 Current State: 55:[99, 45, 25], Operations: ['96-71=25'] Exploring Operation: 99*25=2475, Resulting Numbers: [45, 2475] Generated Node #3: [45, 2475] from Operation: 99*25=2475 Current State: 55:[45, 2475], Operations: ['96-71=25', '99*25=2475'] Exploring Operation: 2475/45=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 73, 56, 25 ]
12
[ "21*56=1176", "73+25=98", "1176/98=12" ]
Current State: 12:[21, 73, 56, 25], Operations: [] Exploring Operation: 21*56=1176, Resulting Numbers: [73, 25, 1176] Generated Node #2: [73, 25, 1176] from Operation: 21*56=1176 Current State: 12:[73, 25, 1176], Operations: ['21*56=1176'] Exploring Operation: 73+25=98, Resulting Numbers: [1176, 98] Generated Node #3: [1176, 98] from Operation: 73+25=98 Current State: 12:[1176, 98], Operations: ['21*56=1176', '73+25=98'] Exploring Operation: 1176/98=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 16, 23, 70, 71 ]
39
[ "16+23=39", "71-70=1", "39*1=39" ]
Current State: 39:[16, 23, 70, 71], Operations: [] Exploring Operation: 16+23=39, Resulting Numbers: [70, 71, 39] Generated Node #2: [70, 71, 39] from Operation: 16+23=39 Current State: 39:[70, 71, 39], Operations: ['16+23=39'] Exploring Operation: 71-70=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 71-70=1 Current State: 39:[39, 1], Operations: ['16+23=39', '71-70=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 25, 93, 2, 91 ]
29
[ "25+93=118", "91-2=89", "118-89=29" ]
Current State: 29:[25, 93, 2, 91], Operations: [] Exploring Operation: 25+93=118, Resulting Numbers: [2, 91, 118] Generated Node #2: [2, 91, 118] from Operation: 25+93=118 Current State: 29:[2, 91, 118], Operations: ['25+93=118'] Exploring Operation: 91-2=89, Resulting Numbers: [118, 89] Generated Node #3: [118, 89] from Operation: 91-2=89 Current State: 29:[118, 89], Operations: ['25+93=118', '91-2=89'] Exploring Operation: 118-89=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 92, 75, 84, 16 ]
77
[ "92-84=8", "16/8=2", "75+2=77" ]
Current State: 77:[92, 75, 84, 16], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [75, 16, 8] Generated Node #2: [75, 16, 8] from Operation: 92-84=8 Current State: 77:[75, 16, 8], Operations: ['92-84=8'] Exploring Operation: 16/8=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 16/8=2 Current State: 77:[75, 2], Operations: ['92-84=8', '16/8=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 39, 13, 21 ]
50
[ "87*13=1131", "1131/39=29", "21+29=50" ]
Current State: 50:[87, 39, 13, 21], Operations: [] Exploring Operation: 87*13=1131, Resulting Numbers: [39, 21, 1131] Generated Node #2: [39, 21, 1131] from Operation: 87*13=1131 Current State: 50:[39, 21, 1131], Operations: ['87*13=1131'] Exploring Operation: 1131/39=29, Resulting Numbers: [21, 29] Generated Node #3: [21, 29] from Operation: 1131/39=29 Current State: 50:[21, 29], Operations: ['87*13=1131', '1131/39=29'] Exploring Operation: 21+29=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 44, 21, 22, 8 ]
84
[ "44/22=2", "21*8=168", "168/2=84" ]
Current State: 84:[44, 21, 22, 8], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [21, 8, 2] Generated Node #2: [21, 8, 2] from Operation: 44/22=2 Current State: 84:[21, 8, 2], Operations: ['44/22=2'] Exploring Operation: 21*8=168, Resulting Numbers: [2, 168] Generated Node #3: [2, 168] from Operation: 21*8=168 Current State: 84:[2, 168], Operations: ['44/22=2', '21*8=168'] Exploring Operation: 168/2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 60, 41, 13, 5 ]
40
[ "60/5=12", "41-13=28", "12+28=40" ]
Current State: 40:[60, 41, 13, 5], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [41, 13, 12] Generated Node #2: [41, 13, 12] from Operation: 60/5=12 Current State: 40:[41, 13, 12], Operations: ['60/5=12'] Exploring Operation: 41-13=28, Resulting Numbers: [12, 28] Generated Node #3: [12, 28] from Operation: 41-13=28 Current State: 40:[12, 28], Operations: ['60/5=12', '41-13=28'] Exploring Operation: 12+28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 35, 20, 27, 51 ]
63
[ "35-20=15", "27+51=78", "78-15=63" ]
Current State: 63:[35, 20, 27, 51], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [27, 51, 15] Generated Node #2: [27, 51, 15] from Operation: 35-20=15 Current State: 63:[27, 51, 15], Operations: ['35-20=15'] Exploring Operation: 27+51=78, Resulting Numbers: [15, 78] Generated Node #3: [15, 78] from Operation: 27+51=78 Current State: 63:[15, 78], Operations: ['35-20=15', '27+51=78'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 97, 52, 93, 83 ]
100
[ "83-52=31", "93/31=3", "97+3=100" ]
Current State: 100:[97, 52, 93, 83], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [97, 93, 31] Generated Node #2: [97, 93, 31] from Operation: 83-52=31 Current State: 100:[97, 93, 31], Operations: ['83-52=31'] Exploring Operation: 93/31=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 93/31=3 Current State: 100:[97, 3], Operations: ['83-52=31', '93/31=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 9, 80, 80 ]
71
[ "2*80=160", "9+80=89", "160-89=71" ]
Current State: 71:[2, 9, 80, 80], Operations: [] Exploring Operation: 2*80=160, Resulting Numbers: [9, 160] Generated Node #2: [9, 160] from Operation: 2*80=160 Current State: 71:[9, 160], Operations: ['2*80=160'] Exploring Operation: 9+80=89, Resulting Numbers: [160, 89] Generated Node #3: [160, 89] from Operation: 9+80=89 Current State: 71:[160, 89], Operations: ['2*80=160', '9+80=89'] Exploring Operation: 160-89=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 90, 36, 38 ]
48
[ "6+90=96", "38-36=2", "96/2=48" ]
Current State: 48:[6, 90, 36, 38], Operations: [] Exploring Operation: 6+90=96, Resulting Numbers: [36, 38, 96] Generated Node #2: [36, 38, 96] from Operation: 6+90=96 Current State: 48:[36, 38, 96], Operations: ['6+90=96'] Exploring Operation: 38-36=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 38-36=2 Current State: 48:[96, 2], Operations: ['6+90=96', '38-36=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 75, 85, 26 ]
68
[ "75-66=9", "85-26=59", "9+59=68" ]
Current State: 68:[66, 75, 85, 26], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [85, 26, 9] Generated Node #2: [85, 26, 9] from Operation: 75-66=9 Current State: 68:[85, 26, 9], Operations: ['75-66=9'] Exploring Operation: 85-26=59, Resulting Numbers: [9, 59] Generated Node #3: [9, 59] from Operation: 85-26=59 Current State: 68:[9, 59], Operations: ['75-66=9', '85-26=59'] Exploring Operation: 9+59=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 32, 56, 7, 11 ]
92
[ "32+56=88", "11-7=4", "88+4=92" ]
Current State: 92:[32, 56, 7, 11], Operations: [] Exploring Operation: 32+56=88, Resulting Numbers: [7, 11, 88] Generated Node #2: [7, 11, 88] from Operation: 32+56=88 Current State: 92:[7, 11, 88], Operations: ['32+56=88'] Exploring Operation: 11-7=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 11-7=4 Current State: 92:[88, 4], Operations: ['32+56=88', '11-7=4'] Exploring Operation: 88+4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 69, 23, 27, 70 ]
94
[ "69/23=3", "27+70=97", "97-3=94" ]
Current State: 94:[69, 23, 27, 70], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [27, 70, 3] Generated Node #2: [27, 70, 3] from Operation: 69/23=3 Current State: 94:[27, 70, 3], Operations: ['69/23=3'] Exploring Operation: 27+70=97, Resulting Numbers: [3, 97] Generated Node #3: [3, 97] from Operation: 27+70=97 Current State: 94:[3, 97], Operations: ['69/23=3', '27+70=97'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 47, 87, 7, 10 ]
37
[ "87-47=40", "10-7=3", "40-3=37" ]
Current State: 37:[47, 87, 7, 10], Operations: [] Exploring Operation: 87-47=40, Resulting Numbers: [7, 10, 40] Generated Node #2: [7, 10, 40] from Operation: 87-47=40 Current State: 37:[7, 10, 40], Operations: ['87-47=40'] Exploring Operation: 10-7=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 10-7=3 Current State: 37:[40, 3], Operations: ['87-47=40', '10-7=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 11, 89, 12 ]
83
[ "13-11=2", "12/2=6", "89-6=83" ]
Current State: 83:[13, 11, 89, 12], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [89, 12, 2] Generated Node #2: [89, 12, 2] from Operation: 13-11=2 Current State: 83:[89, 12, 2], Operations: ['13-11=2'] Exploring Operation: 12/2=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 12/2=6 Current State: 83:[89, 6], Operations: ['13-11=2', '12/2=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 94, 19, 56, 38 ]
95
[ "94+19=113", "56-38=18", "113-18=95" ]
Current State: 95:[94, 19, 56, 38], Operations: [] Exploring Operation: 94+19=113, Resulting Numbers: [56, 38, 113] Generated Node #2: [56, 38, 113] from Operation: 94+19=113 Current State: 95:[56, 38, 113], Operations: ['94+19=113'] Exploring Operation: 56-38=18, Resulting Numbers: [113, 18] Generated Node #3: [113, 18] from Operation: 56-38=18 Current State: 95:[113, 18], Operations: ['94+19=113', '56-38=18'] Exploring Operation: 113-18=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 30, 45, 86, 92 ]
40
[ "92-86=6", "30/6=5", "45-5=40" ]
Current State: 40:[30, 45, 86, 92], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [30, 45, 6] Generated Node #2: [30, 45, 6] from Operation: 92-86=6 Current State: 40:[30, 45, 6], Operations: ['92-86=6'] Exploring Operation: 30/6=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 30/6=5 Current State: 40:[45, 5], Operations: ['92-86=6', '30/6=5'] Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 81, 42, 16, 1 ]
37
[ "81-1=80", "80/16=5", "42-5=37" ]
Current State: 37:[81, 42, 16, 1], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [42, 16, 80] Generated Node #2: [42, 16, 80] from Operation: 81-1=80 Current State: 37:[42, 16, 80], Operations: ['81-1=80'] Exploring Operation: 80/16=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 80/16=5 Current State: 37:[42, 5], Operations: ['81-1=80', '80/16=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 15, 82, 70, 1 ]
28
[ "15+82=97", "70-1=69", "97-69=28" ]
Current State: 28:[15, 82, 70, 1], Operations: [] Exploring Operation: 15+82=97, Resulting Numbers: [70, 1, 97] Generated Node #2: [70, 1, 97] from Operation: 15+82=97 Current State: 28:[70, 1, 97], Operations: ['15+82=97'] Exploring Operation: 70-1=69, Resulting Numbers: [97, 69] Generated Node #3: [97, 69] from Operation: 70-1=69 Current State: 28:[97, 69], Operations: ['15+82=97', '70-1=69'] Exploring Operation: 97-69=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 76, 5, 86, 51 ]
91
[ "76-51=25", "25/5=5", "86+5=91" ]
Current State: 91:[76, 5, 86, 51], Operations: [] Exploring Operation: 76-51=25, Resulting Numbers: [5, 86, 25] Generated Node #2: [5, 86, 25] from Operation: 76-51=25 Current State: 91:[5, 86, 25], Operations: ['76-51=25'] Exploring Operation: 25/5=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 25/5=5 Current State: 91:[86, 5], Operations: ['76-51=25', '25/5=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 30, 56, 38 ]
44
[ "80-30=50", "56+38=94", "94-50=44" ]
Current State: 44:[80, 30, 56, 38], Operations: [] Exploring Operation: 80-30=50, Resulting Numbers: [56, 38, 50] Generated Node #2: [56, 38, 50] from Operation: 80-30=50 Current State: 44:[56, 38, 50], Operations: ['80-30=50'] Exploring Operation: 56+38=94, Resulting Numbers: [50, 94] Generated Node #3: [50, 94] from Operation: 56+38=94 Current State: 44:[50, 94], Operations: ['80-30=50', '56+38=94'] Exploring Operation: 94-50=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 14, 48, 62, 82 ]
64
[ "14+82=96", "96/48=2", "62+2=64" ]
Current State: 64:[14, 48, 62, 82], Operations: [] Exploring Operation: 14+82=96, Resulting Numbers: [48, 62, 96] Generated Node #2: [48, 62, 96] from Operation: 14+82=96 Current State: 64:[48, 62, 96], Operations: ['14+82=96'] Exploring Operation: 96/48=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 96/48=2 Current State: 64:[62, 2], Operations: ['14+82=96', '96/48=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 65, 76, 5, 75 ]
81
[ "76-65=11", "75-5=70", "11+70=81" ]
Current State: 81:[65, 76, 5, 75], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [5, 75, 11] Generated Node #2: [5, 75, 11] from Operation: 76-65=11 Current State: 81:[5, 75, 11], Operations: ['76-65=11'] Exploring Operation: 75-5=70, Resulting Numbers: [11, 70] Generated Node #3: [11, 70] from Operation: 75-5=70 Current State: 81:[11, 70], Operations: ['76-65=11', '75-5=70'] Exploring Operation: 11+70=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 87, 6, 2 ]
28
[ "87-70=17", "2*17=34", "34-6=28" ]
Current State: 28:[70, 87, 6, 2], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [6, 2, 17] Generated Node #2: [6, 2, 17] from Operation: 87-70=17 Current State: 28:[6, 2, 17], Operations: ['87-70=17'] Exploring Operation: 2*17=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 2*17=34 Current State: 28:[6, 34], Operations: ['87-70=17', '2*17=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 90, 20, 40, 84 ]
96
[ "90*40=3600", "3600/20=180", "180-84=96" ]
Current State: 96:[90, 20, 40, 84], Operations: [] Exploring Operation: 90*40=3600, Resulting Numbers: [20, 84, 3600] Generated Node #2: [20, 84, 3600] from Operation: 90*40=3600 Current State: 96:[20, 84, 3600], Operations: ['90*40=3600'] Exploring Operation: 3600/20=180, Resulting Numbers: [84, 180] Generated Node #3: [84, 180] from Operation: 3600/20=180 Current State: 96:[84, 180], Operations: ['90*40=3600', '3600/20=180'] Exploring Operation: 180-84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 80, 86, 66 ]
26
[ "98+80=178", "86+66=152", "178-152=26" ]
Current State: 26:[98, 80, 86, 66], Operations: [] Exploring Operation: 98+80=178, Resulting Numbers: [86, 66, 178] Generated Node #2: [86, 66, 178] from Operation: 98+80=178 Current State: 26:[86, 66, 178], Operations: ['98+80=178'] Exploring Operation: 86+66=152, Resulting Numbers: [178, 152] Generated Node #3: [178, 152] from Operation: 86+66=152 Current State: 26:[178, 152], Operations: ['98+80=178', '86+66=152'] Exploring Operation: 178-152=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 58, 32, 80, 28 ]
75
[ "58-28=30", "80*30=2400", "2400/32=75" ]
Current State: 75:[58, 32, 80, 28], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [32, 80, 30] Generated Node #2: [32, 80, 30] from Operation: 58-28=30 Current State: 75:[32, 80, 30], Operations: ['58-28=30'] Exploring Operation: 80*30=2400, Resulting Numbers: [32, 2400] Generated Node #3: [32, 2400] from Operation: 80*30=2400 Current State: 75:[32, 2400], Operations: ['58-28=30', '80*30=2400'] Exploring Operation: 2400/32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 79, 91, 19 ]
71
[ "79-40=39", "91+19=110", "110-39=71" ]
Current State: 71:[40, 79, 91, 19], Operations: [] Exploring Operation: 79-40=39, Resulting Numbers: [91, 19, 39] Generated Node #2: [91, 19, 39] from Operation: 79-40=39 Current State: 71:[91, 19, 39], Operations: ['79-40=39'] Exploring Operation: 91+19=110, Resulting Numbers: [39, 110] Generated Node #3: [39, 110] from Operation: 91+19=110 Current State: 71:[39, 110], Operations: ['79-40=39', '91+19=110'] Exploring Operation: 110-39=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 74, 94, 54 ]
38
[ "36+74=110", "94+54=148", "148-110=38" ]
Current State: 38:[36, 74, 94, 54], Operations: [] Exploring Operation: 36+74=110, Resulting Numbers: [94, 54, 110] Generated Node #2: [94, 54, 110] from Operation: 36+74=110 Current State: 38:[94, 54, 110], Operations: ['36+74=110'] Exploring Operation: 94+54=148, Resulting Numbers: [110, 148] Generated Node #3: [110, 148] from Operation: 94+54=148 Current State: 38:[110, 148], Operations: ['36+74=110', '94+54=148'] Exploring Operation: 148-110=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 94, 84, 81, 85 ]
93
[ "94-85=9", "81/9=9", "84+9=93" ]
Current State: 93:[94, 84, 81, 85], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [84, 81, 9] Generated Node #2: [84, 81, 9] from Operation: 94-85=9 Current State: 93:[84, 81, 9], Operations: ['94-85=9'] Exploring Operation: 81/9=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 81/9=9 Current State: 93:[84, 9], Operations: ['94-85=9', '81/9=9'] Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 3, 40, 40 ]
94
[ "11+3=14", "40+40=80", "14+80=94" ]
Current State: 94:[11, 3, 40, 40], Operations: [] Exploring Operation: 11+3=14, Resulting Numbers: [40, 40, 14] Generated Node #2: [40, 40, 14] from Operation: 11+3=14 Current State: 94:[40, 40, 14], Operations: ['11+3=14'] Exploring Operation: 40+40=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 40+40=80 Current State: 94:[14, 80], Operations: ['11+3=14', '40+40=80'] Exploring Operation: 14+80=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 89, 18, 78, 95 ]
88
[ "89-18=71", "95-78=17", "71+17=88" ]
Current State: 88:[89, 18, 78, 95], Operations: [] Exploring Operation: 89-18=71, Resulting Numbers: [78, 95, 71] Generated Node #2: [78, 95, 71] from Operation: 89-18=71 Current State: 88:[78, 95, 71], Operations: ['89-18=71'] Exploring Operation: 95-78=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 95-78=17 Current State: 88:[71, 17], Operations: ['89-18=71', '95-78=17'] Exploring Operation: 71+17=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 31, 4, 39, 26 ]
59
[ "31*4=124", "39+26=65", "124-65=59" ]
Current State: 59:[31, 4, 39, 26], Operations: [] Exploring Operation: 31*4=124, Resulting Numbers: [39, 26, 124] Generated Node #2: [39, 26, 124] from Operation: 31*4=124 Current State: 59:[39, 26, 124], Operations: ['31*4=124'] Exploring Operation: 39+26=65, Resulting Numbers: [124, 65] Generated Node #3: [124, 65] from Operation: 39+26=65 Current State: 59:[124, 65], Operations: ['31*4=124', '39+26=65'] Exploring Operation: 124-65=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 6, 4, 42 ]
31
[ "6+42=48", "48/4=12", "19+12=31" ]
Current State: 31:[19, 6, 4, 42], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [19, 4, 48] Generated Node #2: [19, 4, 48] from Operation: 6+42=48 Current State: 31:[19, 4, 48], Operations: ['6+42=48'] Exploring Operation: 48/4=12, Resulting Numbers: [19, 12] Generated Node #3: [19, 12] from Operation: 48/4=12 Current State: 31:[19, 12], Operations: ['6+42=48', '48/4=12'] Exploring Operation: 19+12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 30, 51, 57 ]
27
[ "57-54=3", "30+51=81", "81/3=27" ]
Current State: 27:[54, 30, 51, 57], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [30, 51, 3] Generated Node #2: [30, 51, 3] from Operation: 57-54=3 Current State: 27:[30, 51, 3], Operations: ['57-54=3'] Exploring Operation: 30+51=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 30+51=81 Current State: 27:[3, 81], Operations: ['57-54=3', '30+51=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 89, 15, 6, 69 ]
31
[ "89*6=534", "534-69=465", "465/15=31" ]
Current State: 31:[89, 15, 6, 69], Operations: [] Exploring Operation: 89*6=534, Resulting Numbers: [15, 69, 534] Generated Node #2: [15, 69, 534] from Operation: 89*6=534 Current State: 31:[15, 69, 534], Operations: ['89*6=534'] Exploring Operation: 534-69=465, Resulting Numbers: [15, 465] Generated Node #3: [15, 465] from Operation: 534-69=465 Current State: 31:[15, 465], Operations: ['89*6=534', '534-69=465'] Exploring Operation: 465/15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 60, 24, 20, 11 ]
88
[ "60/20=3", "24*11=264", "264/3=88" ]
Current State: 88:[60, 24, 20, 11], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [24, 11, 3] Generated Node #2: [24, 11, 3] from Operation: 60/20=3 Current State: 88:[24, 11, 3], Operations: ['60/20=3'] Exploring Operation: 24*11=264, Resulting Numbers: [3, 264] Generated Node #3: [3, 264] from Operation: 24*11=264 Current State: 88:[3, 264], Operations: ['60/20=3', '24*11=264'] Exploring Operation: 264/3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 37, 76, 2, 31 ]
53
[ "76-31=45", "2*45=90", "90-37=53" ]
Current State: 53:[37, 76, 2, 31], Operations: [] Exploring Operation: 76-31=45, Resulting Numbers: [37, 2, 45] Generated Node #2: [37, 2, 45] from Operation: 76-31=45 Current State: 53:[37, 2, 45], Operations: ['76-31=45'] Exploring Operation: 2*45=90, Resulting Numbers: [37, 90] Generated Node #3: [37, 90] from Operation: 2*45=90 Current State: 53:[37, 90], Operations: ['76-31=45', '2*45=90'] Exploring Operation: 90-37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 99, 18, 10, 7 ]
64
[ "99-18=81", "10+7=17", "81-17=64" ]
Current State: 64:[99, 18, 10, 7], Operations: [] Exploring Operation: 99-18=81, Resulting Numbers: [10, 7, 81] Generated Node #2: [10, 7, 81] from Operation: 99-18=81 Current State: 64:[10, 7, 81], Operations: ['99-18=81'] Exploring Operation: 10+7=17, Resulting Numbers: [81, 17] Generated Node #3: [81, 17] from Operation: 10+7=17 Current State: 64:[81, 17], Operations: ['99-18=81', '10+7=17'] Exploring Operation: 81-17=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 46, 50, 50, 23 ]
68
[ "46+23=69", "50/50=1", "69-1=68" ]
Current State: 68:[46, 50, 50, 23], Operations: [] Exploring Operation: 46+23=69, Resulting Numbers: [50, 50, 69] Generated Node #2: [50, 50, 69] from Operation: 46+23=69 Current State: 68:[50, 50, 69], Operations: ['46+23=69'] Exploring Operation: 50/50=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 50/50=1 Current State: 68:[69, 1], Operations: ['46+23=69', '50/50=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 94, 78, 57 ]
95
[ "94-20=74", "78-57=21", "74+21=95" ]
Current State: 95:[20, 94, 78, 57], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [78, 57, 74] Generated Node #2: [78, 57, 74] from Operation: 94-20=74 Current State: 95:[78, 57, 74], Operations: ['94-20=74'] Exploring Operation: 78-57=21, Resulting Numbers: [74, 21] Generated Node #3: [74, 21] from Operation: 78-57=21 Current State: 95:[74, 21], Operations: ['94-20=74', '78-57=21'] Exploring Operation: 74+21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 89, 71, 4, 8 ]
42
[ "89+71=160", "8+160=168", "168/4=42" ]
Current State: 42:[89, 71, 4, 8], Operations: [] Exploring Operation: 89+71=160, Resulting Numbers: [4, 8, 160] Generated Node #2: [4, 8, 160] from Operation: 89+71=160 Current State: 42:[4, 8, 160], Operations: ['89+71=160'] Exploring Operation: 8+160=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 8+160=168 Current State: 42:[4, 168], Operations: ['89+71=160', '8+160=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 17, 32, 21 ]
87
[ "21/3=7", "17*7=119", "119-32=87" ]
Current State: 87:[3, 17, 32, 21], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [17, 32, 7] Generated Node #2: [17, 32, 7] from Operation: 21/3=7 Current State: 87:[17, 32, 7], Operations: ['21/3=7'] Exploring Operation: 17*7=119, Resulting Numbers: [32, 119] Generated Node #3: [32, 119] from Operation: 17*7=119 Current State: 87:[32, 119], Operations: ['21/3=7', '17*7=119'] Exploring Operation: 119-32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 23, 3, 8, 53 ]
82
[ "53-23=30", "3*30=90", "90-8=82" ]
Current State: 82:[23, 3, 8, 53], Operations: [] Exploring Operation: 53-23=30, Resulting Numbers: [3, 8, 30] Generated Node #2: [3, 8, 30] from Operation: 53-23=30 Current State: 82:[3, 8, 30], Operations: ['53-23=30'] Exploring Operation: 3*30=90, Resulting Numbers: [8, 90] Generated Node #3: [8, 90] from Operation: 3*30=90 Current State: 82:[8, 90], Operations: ['53-23=30', '3*30=90'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 96, 54, 77, 48 ]
50
[ "96/48=2", "54/2=27", "77-27=50" ]
Current State: 50:[96, 54, 77, 48], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [54, 77, 2] Generated Node #2: [54, 77, 2] from Operation: 96/48=2 Current State: 50:[54, 77, 2], Operations: ['96/48=2'] Exploring Operation: 54/2=27, Resulting Numbers: [77, 27] Generated Node #3: [77, 27] from Operation: 54/2=27 Current State: 50:[77, 27], Operations: ['96/48=2', '54/2=27'] Exploring Operation: 77-27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 77, 18, 11, 42 ]
44
[ "77*18=1386", "1386/42=33", "11+33=44" ]
Current State: 44:[77, 18, 11, 42], Operations: [] Exploring Operation: 77*18=1386, Resulting Numbers: [11, 42, 1386] Generated Node #2: [11, 42, 1386] from Operation: 77*18=1386 Current State: 44:[11, 42, 1386], Operations: ['77*18=1386'] Exploring Operation: 1386/42=33, Resulting Numbers: [11, 33] Generated Node #3: [11, 33] from Operation: 1386/42=33 Current State: 44:[11, 33], Operations: ['77*18=1386', '1386/42=33'] Exploring Operation: 11+33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 35, 19, 45 ]
100
[ "1+35=36", "19+45=64", "36+64=100" ]
Current State: 100:[1, 35, 19, 45], Operations: [] Exploring Operation: 1+35=36, Resulting Numbers: [19, 45, 36] Generated Node #2: [19, 45, 36] from Operation: 1+35=36 Current State: 100:[19, 45, 36], Operations: ['1+35=36'] Exploring Operation: 19+45=64, Resulting Numbers: [36, 64] Generated Node #3: [36, 64] from Operation: 19+45=64 Current State: 100:[36, 64], Operations: ['1+35=36', '19+45=64'] Exploring Operation: 36+64=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 79, 20, 72 ]
24
[ "79-61=18", "72/18=4", "20+4=24" ]
Current State: 24:[61, 79, 20, 72], Operations: [] Exploring Operation: 79-61=18, Resulting Numbers: [20, 72, 18] Generated Node #2: [20, 72, 18] from Operation: 79-61=18 Current State: 24:[20, 72, 18], Operations: ['79-61=18'] Exploring Operation: 72/18=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 72/18=4 Current State: 24:[20, 4], Operations: ['79-61=18', '72/18=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 20, 58, 32, 62 ]
48
[ "20+58=78", "62-32=30", "78-30=48" ]
Current State: 48:[20, 58, 32, 62], Operations: [] Exploring Operation: 20+58=78, Resulting Numbers: [32, 62, 78] Generated Node #2: [32, 62, 78] from Operation: 20+58=78 Current State: 48:[32, 62, 78], Operations: ['20+58=78'] Exploring Operation: 62-32=30, Resulting Numbers: [78, 30] Generated Node #3: [78, 30] from Operation: 62-32=30 Current State: 48:[78, 30], Operations: ['20+58=78', '62-32=30'] Exploring Operation: 78-30=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 35, 25, 96, 76 ]
10
[ "35-25=10", "96-76=20", "20-10=10" ]
Current State: 10:[35, 25, 96, 76], Operations: [] Exploring Operation: 35-25=10, Resulting Numbers: [96, 76, 10] Generated Node #2: [96, 76, 10] from Operation: 35-25=10 Current State: 10:[96, 76, 10], Operations: ['35-25=10'] Exploring Operation: 96-76=20, Resulting Numbers: [10, 20] Generated Node #3: [10, 20] from Operation: 96-76=20 Current State: 10:[10, 20], Operations: ['35-25=10', '96-76=20'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 13, 25, 24, 17 ]
66
[ "24-17=7", "13*7=91", "91-25=66" ]
Current State: 66:[13, 25, 24, 17], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [13, 25, 7] Generated Node #2: [13, 25, 7] from Operation: 24-17=7 Current State: 66:[13, 25, 7], Operations: ['24-17=7'] Exploring Operation: 13*7=91, Resulting Numbers: [25, 91] Generated Node #3: [25, 91] from Operation: 13*7=91 Current State: 66:[25, 91], Operations: ['24-17=7', '13*7=91'] Exploring Operation: 91-25=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 2, 19, 99 ]
98
[ "99-19=80", "2*80=160", "160-62=98" ]
Current State: 98:[62, 2, 19, 99], Operations: [] Exploring Operation: 99-19=80, Resulting Numbers: [62, 2, 80] Generated Node #2: [62, 2, 80] from Operation: 99-19=80 Current State: 98:[62, 2, 80], Operations: ['99-19=80'] Exploring Operation: 2*80=160, Resulting Numbers: [62, 160] Generated Node #3: [62, 160] from Operation: 2*80=160 Current State: 98:[62, 160], Operations: ['99-19=80', '2*80=160'] Exploring Operation: 160-62=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 29, 72, 1, 10 ]
34
[ "72-29=43", "10-1=9", "43-9=34" ]
Current State: 34:[29, 72, 1, 10], Operations: [] Exploring Operation: 72-29=43, Resulting Numbers: [1, 10, 43] Generated Node #2: [1, 10, 43] from Operation: 72-29=43 Current State: 34:[1, 10, 43], Operations: ['72-29=43'] Exploring Operation: 10-1=9, Resulting Numbers: [43, 9] Generated Node #3: [43, 9] from Operation: 10-1=9 Current State: 34:[43, 9], Operations: ['72-29=43', '10-1=9'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 23, 22, 94 ]
51
[ "94-43=51", "23-22=1", "51*1=51" ]
Current State: 51:[43, 23, 22, 94], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [23, 22, 51] Generated Node #2: [23, 22, 51] from Operation: 94-43=51 Current State: 51:[23, 22, 51], Operations: ['94-43=51'] Exploring Operation: 23-22=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 23-22=1 Current State: 51:[51, 1], Operations: ['94-43=51', '23-22=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 70, 88, 62, 62 ]
34
[ "70+88=158", "62+62=124", "158-124=34" ]
Current State: 34:[70, 88, 62, 62], Operations: [] Exploring Operation: 70+88=158, Resulting Numbers: [62, 62, 158] Generated Node #2: [62, 62, 158] from Operation: 70+88=158 Current State: 34:[62, 62, 158], Operations: ['70+88=158'] Exploring Operation: 62+62=124, Resulting Numbers: [158, 124] Generated Node #3: [158, 124] from Operation: 62+62=124 Current State: 34:[158, 124], Operations: ['70+88=158', '62+62=124'] Exploring Operation: 158-124=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 2, 78, 58 ]
91
[ "7+58=65", "2*78=156", "156-65=91" ]
Current State: 91:[7, 2, 78, 58], Operations: [] Exploring Operation: 7+58=65, Resulting Numbers: [2, 78, 65] Generated Node #2: [2, 78, 65] from Operation: 7+58=65 Current State: 91:[2, 78, 65], Operations: ['7+58=65'] Exploring Operation: 2*78=156, Resulting Numbers: [65, 156] Generated Node #3: [65, 156] from Operation: 2*78=156 Current State: 91:[65, 156], Operations: ['7+58=65', '2*78=156'] Exploring Operation: 156-65=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 47, 28, 60, 53 ]
68
[ "47+28=75", "60-53=7", "75-7=68" ]
Current State: 68:[47, 28, 60, 53], Operations: [] Exploring Operation: 47+28=75, Resulting Numbers: [60, 53, 75] Generated Node #2: [60, 53, 75] from Operation: 47+28=75 Current State: 68:[60, 53, 75], Operations: ['47+28=75'] Exploring Operation: 60-53=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 60-53=7 Current State: 68:[75, 7], Operations: ['47+28=75', '60-53=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 58, 55, 54, 85 ]
27
[ "85-58=27", "55-54=1", "27*1=27" ]
Current State: 27:[58, 55, 54, 85], Operations: [] Exploring Operation: 85-58=27, Resulting Numbers: [55, 54, 27] Generated Node #2: [55, 54, 27] from Operation: 85-58=27 Current State: 27:[55, 54, 27], Operations: ['85-58=27'] Exploring Operation: 55-54=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 55-54=1 Current State: 27:[27, 1], Operations: ['85-58=27', '55-54=1'] Exploring Operation: 27*1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 7, 57, 34 ]
17
[ "25*34=850", "57-7=50", "850/50=17" ]
Current State: 17:[25, 7, 57, 34], Operations: [] Exploring Operation: 25*34=850, Resulting Numbers: [7, 57, 850] Generated Node #2: [7, 57, 850] from Operation: 25*34=850 Current State: 17:[7, 57, 850], Operations: ['25*34=850'] Exploring Operation: 57-7=50, Resulting Numbers: [850, 50] Generated Node #3: [850, 50] from Operation: 57-7=50 Current State: 17:[850, 50], Operations: ['25*34=850', '57-7=50'] Exploring Operation: 850/50=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 88, 3, 25 ]
38
[ "88-22=66", "3+25=28", "66-28=38" ]
Current State: 38:[22, 88, 3, 25], Operations: [] Exploring Operation: 88-22=66, Resulting Numbers: [3, 25, 66] Generated Node #2: [3, 25, 66] from Operation: 88-22=66 Current State: 38:[3, 25, 66], Operations: ['88-22=66'] Exploring Operation: 3+25=28, Resulting Numbers: [66, 28] Generated Node #3: [66, 28] from Operation: 3+25=28 Current State: 38:[66, 28], Operations: ['88-22=66', '3+25=28'] Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 71, 2, 51 ]
90
[ "71-30=41", "51-2=49", "41+49=90" ]
Current State: 90:[30, 71, 2, 51], Operations: [] Exploring Operation: 71-30=41, Resulting Numbers: [2, 51, 41] Generated Node #2: [2, 51, 41] from Operation: 71-30=41 Current State: 90:[2, 51, 41], Operations: ['71-30=41'] Exploring Operation: 51-2=49, Resulting Numbers: [41, 49] Generated Node #3: [41, 49] from Operation: 51-2=49 Current State: 90:[41, 49], Operations: ['71-30=41', '51-2=49'] Exploring Operation: 41+49=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 22, 84, 78 ]
69
[ "84-78=6", "22*6=132", "132-63=69" ]
Current State: 69:[63, 22, 84, 78], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [63, 22, 6] Generated Node #2: [63, 22, 6] from Operation: 84-78=6 Current State: 69:[63, 22, 6], Operations: ['84-78=6'] Exploring Operation: 22*6=132, Resulting Numbers: [63, 132] Generated Node #3: [63, 132] from Operation: 22*6=132 Current State: 69:[63, 132], Operations: ['84-78=6', '22*6=132'] Exploring Operation: 132-63=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 63, 46, 85, 97 ]
73
[ "63+46=109", "85+97=182", "182-109=73" ]
Current State: 73:[63, 46, 85, 97], Operations: [] Exploring Operation: 63+46=109, Resulting Numbers: [85, 97, 109] Generated Node #2: [85, 97, 109] from Operation: 63+46=109 Current State: 73:[85, 97, 109], Operations: ['63+46=109'] Exploring Operation: 85+97=182, Resulting Numbers: [109, 182] Generated Node #3: [109, 182] from Operation: 85+97=182 Current State: 73:[109, 182], Operations: ['63+46=109', '85+97=182'] Exploring Operation: 182-109=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 8, 70, 87 ]
65
[ "70/5=14", "87-8=79", "79-14=65" ]
Current State: 65:[5, 8, 70, 87], Operations: [] Exploring Operation: 70/5=14, Resulting Numbers: [8, 87, 14] Generated Node #2: [8, 87, 14] from Operation: 70/5=14 Current State: 65:[8, 87, 14], Operations: ['70/5=14'] Exploring Operation: 87-8=79, Resulting Numbers: [14, 79] Generated Node #3: [14, 79] from Operation: 87-8=79 Current State: 65:[14, 79], Operations: ['70/5=14', '87-8=79'] Exploring Operation: 79-14=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 87, 47, 68 ]
60
[ "88+87=175", "47+68=115", "175-115=60" ]
Current State: 60:[88, 87, 47, 68], Operations: [] Exploring Operation: 88+87=175, Resulting Numbers: [47, 68, 175] Generated Node #2: [47, 68, 175] from Operation: 88+87=175 Current State: 60:[47, 68, 175], Operations: ['88+87=175'] Exploring Operation: 47+68=115, Resulting Numbers: [175, 115] Generated Node #3: [175, 115] from Operation: 47+68=115 Current State: 60:[175, 115], Operations: ['88+87=175', '47+68=115'] Exploring Operation: 175-115=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 6, 12, 42 ]
95
[ "12/6=2", "42/2=21", "74+21=95" ]
Current State: 95:[74, 6, 12, 42], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [74, 42, 2] Generated Node #2: [74, 42, 2] from Operation: 12/6=2 Current State: 95:[74, 42, 2], Operations: ['12/6=2'] Exploring Operation: 42/2=21, Resulting Numbers: [74, 21] Generated Node #3: [74, 21] from Operation: 42/2=21 Current State: 95:[74, 21], Operations: ['12/6=2', '42/2=21'] Exploring Operation: 74+21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 23, 97, 5, 5 ]
97
[ "5-5=0", "23*0=0", "97+0=97" ]
Current State: 97:[23, 97, 5, 5], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [23, 97, 0] Generated Node #2: [23, 97, 0] from Operation: 5-5=0 Current State: 97:[23, 97, 0], Operations: ['5-5=0'] Exploring Operation: 23*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 23*0=0 Current State: 97:[97, 0], Operations: ['5-5=0', '23*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 28, 40, 57 ]
42
[ "57-43=14", "28/14=2", "40+2=42" ]
Current State: 42:[43, 28, 40, 57], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [28, 40, 14] Generated Node #2: [28, 40, 14] from Operation: 57-43=14 Current State: 42:[28, 40, 14], Operations: ['57-43=14'] Exploring Operation: 28/14=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 28/14=2 Current State: 42:[40, 2], Operations: ['57-43=14', '28/14=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 18, 3, 20 ]
39
[ "44+18=62", "3+20=23", "62-23=39" ]
Current State: 39:[44, 18, 3, 20], Operations: [] Exploring Operation: 44+18=62, Resulting Numbers: [3, 20, 62] Generated Node #2: [3, 20, 62] from Operation: 44+18=62 Current State: 39:[3, 20, 62], Operations: ['44+18=62'] Exploring Operation: 3+20=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 3+20=23 Current State: 39:[62, 23], Operations: ['44+18=62', '3+20=23'] Exploring Operation: 62-23=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 51, 54, 15 ]
81
[ "51+54=105", "105/15=7", "74+7=81" ]
Current State: 81:[74, 51, 54, 15], Operations: [] Exploring Operation: 51+54=105, Resulting Numbers: [74, 15, 105] Generated Node #2: [74, 15, 105] from Operation: 51+54=105 Current State: 81:[74, 15, 105], Operations: ['51+54=105'] Exploring Operation: 105/15=7, Resulting Numbers: [74, 7] Generated Node #3: [74, 7] from Operation: 105/15=7 Current State: 81:[74, 7], Operations: ['51+54=105', '105/15=7'] Exploring Operation: 74+7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 68, 16, 56 ]
38
[ "68-66=2", "56-16=40", "40-2=38" ]
Current State: 38:[66, 68, 16, 56], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [16, 56, 2] Generated Node #2: [16, 56, 2] from Operation: 68-66=2 Current State: 38:[16, 56, 2], Operations: ['68-66=2'] Exploring Operation: 56-16=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 56-16=40 Current State: 38:[2, 40], Operations: ['68-66=2', '56-16=40'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 21, 87, 6 ]
33
[ "87-15=72", "72/6=12", "21+12=33" ]
Current State: 33:[15, 21, 87, 6], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [21, 6, 72] Generated Node #2: [21, 6, 72] from Operation: 87-15=72 Current State: 33:[21, 6, 72], Operations: ['87-15=72'] Exploring Operation: 72/6=12, Resulting Numbers: [21, 12] Generated Node #3: [21, 12] from Operation: 72/6=12 Current State: 33:[21, 12], Operations: ['87-15=72', '72/6=12'] Exploring Operation: 21+12=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 90, 89, 72 ]
12
[ "90-7=83", "89-83=6", "72/6=12" ]
Current State: 12:[7, 90, 89, 72], Operations: [] Exploring Operation: 90-7=83, Resulting Numbers: [89, 72, 83] Generated Node #2: [89, 72, 83] from Operation: 90-7=83 Current State: 12:[89, 72, 83], Operations: ['90-7=83'] Exploring Operation: 89-83=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 89-83=6 Current State: 12:[72, 6], Operations: ['90-7=83', '89-83=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 32, 72, 12 ]
53
[ "72/8=9", "32+12=44", "9+44=53" ]
Current State: 53:[8, 32, 72, 12], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [32, 12, 9] Generated Node #2: [32, 12, 9] from Operation: 72/8=9 Current State: 53:[32, 12, 9], Operations: ['72/8=9'] Exploring Operation: 32+12=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 32+12=44 Current State: 53:[9, 44], Operations: ['72/8=9', '32+12=44'] Exploring Operation: 9+44=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 55, 3, 70, 21 ]
39
[ "55-3=52", "70+21=91", "91-52=39" ]
Current State: 39:[55, 3, 70, 21], Operations: [] Exploring Operation: 55-3=52, Resulting Numbers: [70, 21, 52] Generated Node #2: [70, 21, 52] from Operation: 55-3=52 Current State: 39:[70, 21, 52], Operations: ['55-3=52'] Exploring Operation: 70+21=91, Resulting Numbers: [52, 91] Generated Node #3: [52, 91] from Operation: 70+21=91 Current State: 39:[52, 91], Operations: ['55-3=52', '70+21=91'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 8, 44, 62 ]
90
[ "8+8=16", "44+62=106", "106-16=90" ]
Current State: 90:[8, 8, 44, 62], Operations: [] Exploring Operation: 8+8=16, Resulting Numbers: [44, 62, 16] Generated Node #2: [44, 62, 16] from Operation: 8+8=16 Current State: 90:[44, 62, 16], Operations: ['8+8=16'] Exploring Operation: 44+62=106, Resulting Numbers: [16, 106] Generated Node #3: [16, 106] from Operation: 44+62=106 Current State: 90:[16, 106], Operations: ['8+8=16', '44+62=106'] Exploring Operation: 106-16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 79, 50, 85 ]
10
[ "79-54=25", "85-50=35", "35-25=10" ]
Current State: 10:[54, 79, 50, 85], Operations: [] Exploring Operation: 79-54=25, Resulting Numbers: [50, 85, 25] Generated Node #2: [50, 85, 25] from Operation: 79-54=25 Current State: 10:[50, 85, 25], Operations: ['79-54=25'] Exploring Operation: 85-50=35, Resulting Numbers: [25, 35] Generated Node #3: [25, 35] from Operation: 85-50=35 Current State: 10:[25, 35], Operations: ['79-54=25', '85-50=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 41, 78, 21 ]
80
[ "41-18=23", "78-21=57", "23+57=80" ]
Current State: 80:[18, 41, 78, 21], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [78, 21, 23] Generated Node #2: [78, 21, 23] from Operation: 41-18=23 Current State: 80:[78, 21, 23], Operations: ['41-18=23'] Exploring Operation: 78-21=57, Resulting Numbers: [23, 57] Generated Node #3: [23, 57] from Operation: 78-21=57 Current State: 80:[23, 57], Operations: ['41-18=23', '78-21=57'] Exploring Operation: 23+57=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 18, 3, 13 ]
29
[ "18-3=15", "15-13=2", "58/2=29" ]
Current State: 29:[58, 18, 3, 13], Operations: [] Exploring Operation: 18-3=15, Resulting Numbers: [58, 13, 15] Generated Node #2: [58, 13, 15] from Operation: 18-3=15 Current State: 29:[58, 13, 15], Operations: ['18-3=15'] Exploring Operation: 15-13=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 15-13=2 Current State: 29:[58, 2], Operations: ['18-3=15', '15-13=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 22, 6, 2, 92 ]
80
[ "22*6=132", "132-92=40", "2*40=80" ]
Current State: 80:[22, 6, 2, 92], Operations: [] Exploring Operation: 22*6=132, Resulting Numbers: [2, 92, 132] Generated Node #2: [2, 92, 132] from Operation: 22*6=132 Current State: 80:[2, 92, 132], Operations: ['22*6=132'] Exploring Operation: 132-92=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 132-92=40 Current State: 80:[2, 40], Operations: ['22*6=132', '132-92=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 99, 16, 24 ]
91
[ "1*99=99", "24-16=8", "99-8=91" ]
Current State: 91:[1, 99, 16, 24], Operations: [] Exploring Operation: 1*99=99, Resulting Numbers: [16, 24, 99] Generated Node #2: [16, 24, 99] from Operation: 1*99=99 Current State: 91:[16, 24, 99], Operations: ['1*99=99'] Exploring Operation: 24-16=8, Resulting Numbers: [99, 8] Generated Node #3: [99, 8] from Operation: 24-16=8 Current State: 91:[99, 8], Operations: ['1*99=99', '24-16=8'] Exploring Operation: 99-8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 75, 69, 24 ]
60
[ "75+69=144", "144/4=36", "24+36=60" ]
Current State: 60:[4, 75, 69, 24], Operations: [] Exploring Operation: 75+69=144, Resulting Numbers: [4, 24, 144] Generated Node #2: [4, 24, 144] from Operation: 75+69=144 Current State: 60:[4, 24, 144], Operations: ['75+69=144'] Exploring Operation: 144/4=36, Resulting Numbers: [24, 36] Generated Node #3: [24, 36] from Operation: 144/4=36 Current State: 60:[24, 36], Operations: ['75+69=144', '144/4=36'] Exploring Operation: 24+36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 3, 48, 47, 80 ]
82
[ "48-3=45", "47+80=127", "127-45=82" ]
Current State: 82:[3, 48, 47, 80], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [47, 80, 45] Generated Node #2: [47, 80, 45] from Operation: 48-3=45 Current State: 82:[47, 80, 45], Operations: ['48-3=45'] Exploring Operation: 47+80=127, Resulting Numbers: [45, 127] Generated Node #3: [45, 127] from Operation: 47+80=127 Current State: 82:[45, 127], Operations: ['48-3=45', '47+80=127'] Exploring Operation: 127-45=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 99, 21, 12 ]
72
[ "99-60=39", "21+12=33", "39+33=72" ]
Current State: 72:[60, 99, 21, 12], Operations: [] Exploring Operation: 99-60=39, Resulting Numbers: [21, 12, 39] Generated Node #2: [21, 12, 39] from Operation: 99-60=39 Current State: 72:[21, 12, 39], Operations: ['99-60=39'] Exploring Operation: 21+12=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 21+12=33 Current State: 72:[39, 33], Operations: ['99-60=39', '21+12=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 82, 47, 84 ]
36
[ "84-82=2", "22/2=11", "47-11=36" ]
Current State: 36:[22, 82, 47, 84], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [22, 47, 2] Generated Node #2: [22, 47, 2] from Operation: 84-82=2 Current State: 36:[22, 47, 2], Operations: ['84-82=2'] Exploring Operation: 22/2=11, Resulting Numbers: [47, 11] Generated Node #3: [47, 11] from Operation: 22/2=11 Current State: 36:[47, 11], Operations: ['84-82=2', '22/2=11'] Exploring Operation: 47-11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 60, 82, 28, 94 ]
88
[ "82-60=22", "94-28=66", "22+66=88" ]
Current State: 88:[60, 82, 28, 94], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [28, 94, 22] Generated Node #2: [28, 94, 22] from Operation: 82-60=22 Current State: 88:[28, 94, 22], Operations: ['82-60=22'] Exploring Operation: 94-28=66, Resulting Numbers: [22, 66] Generated Node #3: [22, 66] from Operation: 94-28=66 Current State: 88:[22, 66], Operations: ['82-60=22', '94-28=66'] Exploring Operation: 22+66=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 45, 2, 8 ]
75
[ "23-8=15", "45*2=90", "90-15=75" ]
Current State: 75:[23, 45, 2, 8], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [45, 2, 15] Generated Node #2: [45, 2, 15] from Operation: 23-8=15 Current State: 75:[45, 2, 15], Operations: ['23-8=15'] Exploring Operation: 45*2=90, Resulting Numbers: [15, 90] Generated Node #3: [15, 90] from Operation: 45*2=90 Current State: 75:[15, 90], Operations: ['23-8=15', '45*2=90'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 61, 11, 4, 80 ]
32
[ "61+11=72", "80-72=8", "4*8=32" ]
Current State: 32:[61, 11, 4, 80], Operations: [] Exploring Operation: 61+11=72, Resulting Numbers: [4, 80, 72] Generated Node #2: [4, 80, 72] from Operation: 61+11=72 Current State: 32:[4, 80, 72], Operations: ['61+11=72'] Exploring Operation: 80-72=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 80-72=8 Current State: 32:[4, 8], Operations: ['61+11=72', '80-72=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 4, 32, 17 ]
47
[ "38+17=55", "32/4=8", "55-8=47" ]
Current State: 47:[38, 4, 32, 17], Operations: [] Exploring Operation: 38+17=55, Resulting Numbers: [4, 32, 55] Generated Node #2: [4, 32, 55] from Operation: 38+17=55 Current State: 47:[4, 32, 55], Operations: ['38+17=55'] Exploring Operation: 32/4=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 32/4=8 Current State: 47:[55, 8], Operations: ['38+17=55', '32/4=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4