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
[ 1, 29, 56, 44 ]
71
[ "1*29=29", "56+44=100", "100-29=71" ]
Current State: 71:[1, 29, 56, 44], Operations: [] Exploring Operation: 1*29=29, Resulting Numbers: [56, 44, 29] Generated Node #2: [56, 44, 29] from Operation: 1*29=29 Current State: 71:[56, 44, 29], Operations: ['1*29=29'] Exploring Operation: 56+44=100, Resulting Numbers: [29, 100] Generated Node #3: [29, 100] from Operation: 56+44=100 Current State: 71:[29, 100], Operations: ['1*29=29', '56+44=100'] Exploring Operation: 100-29=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 92, 81, 38 ]
97
[ "2*38=76", "92+81=173", "173-76=97" ]
Current State: 97:[2, 92, 81, 38], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [92, 81, 76] Generated Node #2: [92, 81, 76] from Operation: 2*38=76 Current State: 97:[92, 81, 76], Operations: ['2*38=76'] Exploring Operation: 92+81=173, Resulting Numbers: [76, 173] Generated Node #3: [76, 173] from Operation: 92+81=173 Current State: 97:[76, 173], Operations: ['2*38=76', '92+81=173'] Exploring Operation: 173-76=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 40, 16, 20 ]
43
[ "25+16=41", "40/20=2", "41+2=43" ]
Current State: 43:[25, 40, 16, 20], Operations: [] Exploring Operation: 25+16=41, Resulting Numbers: [40, 20, 41] Generated Node #2: [40, 20, 41] from Operation: 25+16=41 Current State: 43:[40, 20, 41], Operations: ['25+16=41'] Exploring Operation: 40/20=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 40/20=2 Current State: 43:[41, 2], Operations: ['25+16=41', '40/20=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 24, 90, 66 ]
44
[ "24-4=20", "90-66=24", "20+24=44" ]
Current State: 44:[4, 24, 90, 66], Operations: [] Exploring Operation: 24-4=20, Resulting Numbers: [90, 66, 20] Generated Node #2: [90, 66, 20] from Operation: 24-4=20 Current State: 44:[90, 66, 20], Operations: ['24-4=20'] Exploring Operation: 90-66=24, Resulting Numbers: [20, 24] Generated Node #3: [20, 24] from Operation: 90-66=24 Current State: 44:[20, 24], Operations: ['24-4=20', '90-66=24'] Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 15, 69, 66, 2 ]
43
[ "69-66=3", "15*3=45", "45-2=43" ]
Current State: 43:[15, 69, 66, 2], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [15, 2, 3] Generated Node #2: [15, 2, 3] from Operation: 69-66=3 Current State: 43:[15, 2, 3], Operations: ['69-66=3'] Exploring Operation: 15*3=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 15*3=45 Current State: 43:[2, 45], Operations: ['69-66=3', '15*3=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 31, 90, 12 ]
52
[ "31-12=19", "2*19=38", "90-38=52" ]
Current State: 52:[2, 31, 90, 12], Operations: [] Exploring Operation: 31-12=19, Resulting Numbers: [2, 90, 19] Generated Node #2: [2, 90, 19] from Operation: 31-12=19 Current State: 52:[2, 90, 19], Operations: ['31-12=19'] Exploring Operation: 2*19=38, Resulting Numbers: [90, 38] Generated Node #3: [90, 38] from Operation: 2*19=38 Current State: 52:[90, 38], Operations: ['31-12=19', '2*19=38'] Exploring Operation: 90-38=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 62, 81, 57, 68 ]
30
[ "81-62=19", "68-57=11", "19+11=30" ]
Current State: 30:[62, 81, 57, 68], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [57, 68, 19] Generated Node #2: [57, 68, 19] from Operation: 81-62=19 Current State: 30:[57, 68, 19], Operations: ['81-62=19'] Exploring Operation: 68-57=11, Resulting Numbers: [19, 11] Generated Node #3: [19, 11] from Operation: 68-57=11 Current State: 30:[19, 11], Operations: ['81-62=19', '68-57=11'] Exploring Operation: 19+11=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 43, 41, 31, 47 ]
39
[ "43-41=2", "31+47=78", "78/2=39" ]
Current State: 39:[43, 41, 31, 47], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [31, 47, 2] Generated Node #2: [31, 47, 2] from Operation: 43-41=2 Current State: 39:[31, 47, 2], Operations: ['43-41=2'] Exploring Operation: 31+47=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 31+47=78 Current State: 39:[2, 78], Operations: ['43-41=2', '31+47=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 46, 21, 31 ]
100
[ "46*21=966", "966/14=69", "31+69=100" ]
Current State: 100:[14, 46, 21, 31], Operations: [] Exploring Operation: 46*21=966, Resulting Numbers: [14, 31, 966] Generated Node #2: [14, 31, 966] from Operation: 46*21=966 Current State: 100:[14, 31, 966], Operations: ['46*21=966'] Exploring Operation: 966/14=69, Resulting Numbers: [31, 69] Generated Node #3: [31, 69] from Operation: 966/14=69 Current State: 100:[31, 69], Operations: ['46*21=966', '966/14=69'] Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 97, 12, 92, 37 ]
97
[ "97-92=5", "12*5=60", "37+60=97" ]
Current State: 97:[97, 12, 92, 37], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [12, 37, 5] Generated Node #2: [12, 37, 5] from Operation: 97-92=5 Current State: 97:[12, 37, 5], Operations: ['97-92=5'] Exploring Operation: 12*5=60, Resulting Numbers: [37, 60] Generated Node #3: [37, 60] from Operation: 12*5=60 Current State: 97:[37, 60], Operations: ['97-92=5', '12*5=60'] Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 76, 27, 22, 55 ]
28
[ "76-27=49", "22+55=77", "77-49=28" ]
Current State: 28:[76, 27, 22, 55], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [22, 55, 49] Generated Node #2: [22, 55, 49] from Operation: 76-27=49 Current State: 28:[22, 55, 49], Operations: ['76-27=49'] Exploring Operation: 22+55=77, Resulting Numbers: [49, 77] Generated Node #3: [49, 77] from Operation: 22+55=77 Current State: 28:[49, 77], Operations: ['76-27=49', '22+55=77'] Exploring Operation: 77-49=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 51, 98, 2, 90 ]
94
[ "51*2=102", "98-90=8", "102-8=94" ]
Current State: 94:[51, 98, 2, 90], Operations: [] Exploring Operation: 51*2=102, Resulting Numbers: [98, 90, 102] Generated Node #2: [98, 90, 102] from Operation: 51*2=102 Current State: 94:[98, 90, 102], Operations: ['51*2=102'] Exploring Operation: 98-90=8, Resulting Numbers: [102, 8] Generated Node #3: [102, 8] from Operation: 98-90=8 Current State: 94:[102, 8], Operations: ['51*2=102', '98-90=8'] Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 40, 97, 2 ]
29
[ "43*2=86", "97-40=57", "86-57=29" ]
Current State: 29:[43, 40, 97, 2], Operations: [] Exploring Operation: 43*2=86, Resulting Numbers: [40, 97, 86] Generated Node #2: [40, 97, 86] from Operation: 43*2=86 Current State: 29:[40, 97, 86], Operations: ['43*2=86'] Exploring Operation: 97-40=57, Resulting Numbers: [86, 57] Generated Node #3: [86, 57] from Operation: 97-40=57 Current State: 29:[86, 57], Operations: ['43*2=86', '97-40=57'] Exploring Operation: 86-57=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 65, 91, 72, 9 ]
22
[ "72-65=7", "91/7=13", "9+13=22" ]
Current State: 22:[65, 91, 72, 9], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [91, 9, 7] Generated Node #2: [91, 9, 7] from Operation: 72-65=7 Current State: 22:[91, 9, 7], Operations: ['72-65=7'] Exploring Operation: 91/7=13, Resulting Numbers: [9, 13] Generated Node #3: [9, 13] from Operation: 91/7=13 Current State: 22:[9, 13], Operations: ['72-65=7', '91/7=13'] Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 75, 5, 85, 81 ]
31
[ "85-75=10", "5*10=50", "81-50=31" ]
Current State: 31:[75, 5, 85, 81], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [5, 81, 10] Generated Node #2: [5, 81, 10] from Operation: 85-75=10 Current State: 31:[5, 81, 10], Operations: ['85-75=10'] Exploring Operation: 5*10=50, Resulting Numbers: [81, 50] Generated Node #3: [81, 50] from Operation: 5*10=50 Current State: 31:[81, 50], Operations: ['85-75=10', '5*10=50'] Exploring Operation: 81-50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 35, 2, 46, 65 ]
61
[ "65-35=30", "30/2=15", "46+15=61" ]
Current State: 61:[35, 2, 46, 65], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [2, 46, 30] Generated Node #2: [2, 46, 30] from Operation: 65-35=30 Current State: 61:[2, 46, 30], Operations: ['65-35=30'] Exploring Operation: 30/2=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 30/2=15 Current State: 61:[46, 15], Operations: ['65-35=30', '30/2=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 23, 10, 32 ]
43
[ "62+23=85", "10+32=42", "85-42=43" ]
Current State: 43:[62, 23, 10, 32], Operations: [] Exploring Operation: 62+23=85, Resulting Numbers: [10, 32, 85] Generated Node #2: [10, 32, 85] from Operation: 62+23=85 Current State: 43:[10, 32, 85], Operations: ['62+23=85'] Exploring Operation: 10+32=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 10+32=42 Current State: 43:[85, 42], Operations: ['62+23=85', '10+32=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 6, 30, 47 ]
75
[ "12/6=2", "30+47=77", "77-2=75" ]
Current State: 75:[12, 6, 30, 47], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [30, 47, 2] Generated Node #2: [30, 47, 2] from Operation: 12/6=2 Current State: 75:[30, 47, 2], Operations: ['12/6=2'] Exploring Operation: 30+47=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 30+47=77 Current State: 75:[2, 77], Operations: ['12/6=2', '30+47=77'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 93, 34, 16 ]
59
[ "4*34=136", "93-16=77", "136-77=59" ]
Current State: 59:[4, 93, 34, 16], Operations: [] Exploring Operation: 4*34=136, Resulting Numbers: [93, 16, 136] Generated Node #2: [93, 16, 136] from Operation: 4*34=136 Current State: 59:[93, 16, 136], Operations: ['4*34=136'] Exploring Operation: 93-16=77, Resulting Numbers: [136, 77] Generated Node #3: [136, 77] from Operation: 93-16=77 Current State: 59:[136, 77], Operations: ['4*34=136', '93-16=77'] Exploring Operation: 136-77=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 63, 43, 17, 27 ]
81
[ "63-43=20", "20-17=3", "27*3=81" ]
Current State: 81:[63, 43, 17, 27], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [17, 27, 20] Generated Node #2: [17, 27, 20] from Operation: 63-43=20 Current State: 81:[17, 27, 20], Operations: ['63-43=20'] Exploring Operation: 20-17=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 20-17=3 Current State: 81:[27, 3], Operations: ['63-43=20', '20-17=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 50, 34, 39 ]
46
[ "50-23=27", "34+39=73", "73-27=46" ]
Current State: 46:[23, 50, 34, 39], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [34, 39, 27] Generated Node #2: [34, 39, 27] from Operation: 50-23=27 Current State: 46:[34, 39, 27], Operations: ['50-23=27'] Exploring Operation: 34+39=73, Resulting Numbers: [27, 73] Generated Node #3: [27, 73] from Operation: 34+39=73 Current State: 46:[27, 73], Operations: ['50-23=27', '34+39=73'] Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 82, 62, 86 ]
95
[ "37+82=119", "86-62=24", "119-24=95" ]
Current State: 95:[37, 82, 62, 86], Operations: [] Exploring Operation: 37+82=119, Resulting Numbers: [62, 86, 119] Generated Node #2: [62, 86, 119] from Operation: 37+82=119 Current State: 95:[62, 86, 119], Operations: ['37+82=119'] Exploring Operation: 86-62=24, Resulting Numbers: [119, 24] Generated Node #3: [119, 24] from Operation: 86-62=24 Current State: 95:[119, 24], Operations: ['37+82=119', '86-62=24'] Exploring Operation: 119-24=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 41, 24, 75, 93 ]
48
[ "75+93=168", "168/24=7", "41+7=48" ]
Current State: 48:[41, 24, 75, 93], Operations: [] Exploring Operation: 75+93=168, Resulting Numbers: [41, 24, 168] Generated Node #2: [41, 24, 168] from Operation: 75+93=168 Current State: 48:[41, 24, 168], Operations: ['75+93=168'] Exploring Operation: 168/24=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 168/24=7 Current State: 48:[41, 7], Operations: ['75+93=168', '168/24=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 45, 50, 36, 38 ]
97
[ "45+50=95", "38-36=2", "95+2=97" ]
Current State: 97:[45, 50, 36, 38], Operations: [] Exploring Operation: 45+50=95, Resulting Numbers: [36, 38, 95] Generated Node #2: [36, 38, 95] from Operation: 45+50=95 Current State: 97:[36, 38, 95], Operations: ['45+50=95'] Exploring Operation: 38-36=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 38-36=2 Current State: 97:[95, 2], Operations: ['45+50=95', '38-36=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 28, 54, 6 ]
78
[ "28-10=18", "54+6=60", "18+60=78" ]
Current State: 78:[10, 28, 54, 6], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [54, 6, 18] Generated Node #2: [54, 6, 18] from Operation: 28-10=18 Current State: 78:[54, 6, 18], Operations: ['28-10=18'] Exploring Operation: 54+6=60, Resulting Numbers: [18, 60] Generated Node #3: [18, 60] from Operation: 54+6=60 Current State: 78:[18, 60], Operations: ['28-10=18', '54+6=60'] Exploring Operation: 18+60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 11, 2, 66 ]
65
[ "86+66=152", "152/2=76", "76-11=65" ]
Current State: 65:[86, 11, 2, 66], Operations: [] Exploring Operation: 86+66=152, Resulting Numbers: [11, 2, 152] Generated Node #2: [11, 2, 152] from Operation: 86+66=152 Current State: 65:[11, 2, 152], Operations: ['86+66=152'] Exploring Operation: 152/2=76, Resulting Numbers: [11, 76] Generated Node #3: [11, 76] from Operation: 152/2=76 Current State: 65:[11, 76], Operations: ['86+66=152', '152/2=76'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 59, 80, 34 ]
77
[ "43+59=102", "102/34=3", "80-3=77" ]
Current State: 77:[43, 59, 80, 34], Operations: [] Exploring Operation: 43+59=102, Resulting Numbers: [80, 34, 102] Generated Node #2: [80, 34, 102] from Operation: 43+59=102 Current State: 77:[80, 34, 102], Operations: ['43+59=102'] Exploring Operation: 102/34=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 102/34=3 Current State: 77:[80, 3], Operations: ['43+59=102', '102/34=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 92, 80, 38, 60 ]
33
[ "92-80=12", "60/12=5", "38-5=33" ]
Current State: 33:[92, 80, 38, 60], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [38, 60, 12] Generated Node #2: [38, 60, 12] from Operation: 92-80=12 Current State: 33:[38, 60, 12], Operations: ['92-80=12'] Exploring Operation: 60/12=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 60/12=5 Current State: 33:[38, 5], Operations: ['92-80=12', '60/12=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 15, 35, 6 ]
26
[ "15/5=3", "35-6=29", "29-3=26" ]
Current State: 26:[5, 15, 35, 6], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [35, 6, 3] Generated Node #2: [35, 6, 3] from Operation: 15/5=3 Current State: 26:[35, 6, 3], Operations: ['15/5=3'] Exploring Operation: 35-6=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 35-6=29 Current State: 26:[3, 29], Operations: ['15/5=3', '35-6=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 7, 31, 46, 1 ]
83
[ "7+31=38", "46-1=45", "38+45=83" ]
Current State: 83:[7, 31, 46, 1], Operations: [] Exploring Operation: 7+31=38, Resulting Numbers: [46, 1, 38] Generated Node #2: [46, 1, 38] from Operation: 7+31=38 Current State: 83:[46, 1, 38], Operations: ['7+31=38'] Exploring Operation: 46-1=45, Resulting Numbers: [38, 45] Generated Node #3: [38, 45] from Operation: 46-1=45 Current State: 83:[38, 45], Operations: ['7+31=38', '46-1=45'] Exploring Operation: 38+45=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 83, 61, 7 ]
54
[ "83-34=49", "49/7=7", "61-7=54" ]
Current State: 54:[34, 83, 61, 7], Operations: [] Exploring Operation: 83-34=49, Resulting Numbers: [61, 7, 49] Generated Node #2: [61, 7, 49] from Operation: 83-34=49 Current State: 54:[61, 7, 49], Operations: ['83-34=49'] Exploring Operation: 49/7=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 49/7=7 Current State: 54:[61, 7], Operations: ['83-34=49', '49/7=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 42, 44, 48 ]
33
[ "8+48=56", "42*44=1848", "1848/56=33" ]
Current State: 33:[8, 42, 44, 48], Operations: [] Exploring Operation: 8+48=56, Resulting Numbers: [42, 44, 56] Generated Node #2: [42, 44, 56] from Operation: 8+48=56 Current State: 33:[42, 44, 56], Operations: ['8+48=56'] Exploring Operation: 42*44=1848, Resulting Numbers: [56, 1848] Generated Node #3: [56, 1848] from Operation: 42*44=1848 Current State: 33:[56, 1848], Operations: ['8+48=56', '42*44=1848'] Exploring Operation: 1848/56=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 20, 30, 40, 65 ]
52
[ "20+30=50", "40*65=2600", "2600/50=52" ]
Current State: 52:[20, 30, 40, 65], Operations: [] Exploring Operation: 20+30=50, Resulting Numbers: [40, 65, 50] Generated Node #2: [40, 65, 50] from Operation: 20+30=50 Current State: 52:[40, 65, 50], Operations: ['20+30=50'] Exploring Operation: 40*65=2600, Resulting Numbers: [50, 2600] Generated Node #3: [50, 2600] from Operation: 40*65=2600 Current State: 52:[50, 2600], Operations: ['20+30=50', '40*65=2600'] Exploring Operation: 2600/50=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 85, 30, 70, 62 ]
12
[ "85+70=155", "30*62=1860", "1860/155=12" ]
Current State: 12:[85, 30, 70, 62], Operations: [] Exploring Operation: 85+70=155, Resulting Numbers: [30, 62, 155] Generated Node #2: [30, 62, 155] from Operation: 85+70=155 Current State: 12:[30, 62, 155], Operations: ['85+70=155'] Exploring Operation: 30*62=1860, Resulting Numbers: [155, 1860] Generated Node #3: [155, 1860] from Operation: 30*62=1860 Current State: 12:[155, 1860], Operations: ['85+70=155', '30*62=1860'] Exploring Operation: 1860/155=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 36, 98, 60, 64 ]
58
[ "98-36=62", "64-60=4", "62-4=58" ]
Current State: 58:[36, 98, 60, 64], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [60, 64, 62] Generated Node #2: [60, 64, 62] from Operation: 98-36=62 Current State: 58:[60, 64, 62], Operations: ['98-36=62'] Exploring Operation: 64-60=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 64-60=4 Current State: 58:[62, 4], Operations: ['98-36=62', '64-60=4'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 16, 46, 35 ]
73
[ "16/2=8", "46+35=81", "81-8=73" ]
Current State: 73:[2, 16, 46, 35], Operations: [] Exploring Operation: 16/2=8, Resulting Numbers: [46, 35, 8] Generated Node #2: [46, 35, 8] from Operation: 16/2=8 Current State: 73:[46, 35, 8], Operations: ['16/2=8'] Exploring Operation: 46+35=81, Resulting Numbers: [8, 81] Generated Node #3: [8, 81] from Operation: 46+35=81 Current State: 73:[8, 81], Operations: ['16/2=8', '46+35=81'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 54, 39, 15 ]
58
[ "54-20=34", "39-15=24", "34+24=58" ]
Current State: 58:[20, 54, 39, 15], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [39, 15, 34] Generated Node #2: [39, 15, 34] from Operation: 54-20=34 Current State: 58:[39, 15, 34], Operations: ['54-20=34'] Exploring Operation: 39-15=24, Resulting Numbers: [34, 24] Generated Node #3: [34, 24] from Operation: 39-15=24 Current State: 58:[34, 24], Operations: ['54-20=34', '39-15=24'] Exploring Operation: 34+24=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 47, 28, 23 ]
17
[ "28/4=7", "47-23=24", "24-7=17" ]
Current State: 17:[4, 47, 28, 23], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [47, 23, 7] Generated Node #2: [47, 23, 7] from Operation: 28/4=7 Current State: 17:[47, 23, 7], Operations: ['28/4=7'] Exploring Operation: 47-23=24, Resulting Numbers: [7, 24] Generated Node #3: [7, 24] from Operation: 47-23=24 Current State: 17:[7, 24], Operations: ['28/4=7', '47-23=24'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 18, 84, 67 ]
84
[ "18+84=102", "102/6=17", "67+17=84" ]
Current State: 84:[6, 18, 84, 67], Operations: [] Exploring Operation: 18+84=102, Resulting Numbers: [6, 67, 102] Generated Node #2: [6, 67, 102] from Operation: 18+84=102 Current State: 84:[6, 67, 102], Operations: ['18+84=102'] Exploring Operation: 102/6=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 102/6=17 Current State: 84:[67, 17], Operations: ['18+84=102', '102/6=17'] Exploring Operation: 67+17=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 8, 28, 10 ]
86
[ "5*10=50", "8+28=36", "50+36=86" ]
Current State: 86:[5, 8, 28, 10], Operations: [] Exploring Operation: 5*10=50, Resulting Numbers: [8, 28, 50] Generated Node #2: [8, 28, 50] from Operation: 5*10=50 Current State: 86:[8, 28, 50], Operations: ['5*10=50'] Exploring Operation: 8+28=36, Resulting Numbers: [50, 36] Generated Node #3: [50, 36] from Operation: 8+28=36 Current State: 86:[50, 36], Operations: ['5*10=50', '8+28=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 59, 62, 77 ]
39
[ "59-5=54", "77-62=15", "54-15=39" ]
Current State: 39:[5, 59, 62, 77], Operations: [] Exploring Operation: 59-5=54, Resulting Numbers: [62, 77, 54] Generated Node #2: [62, 77, 54] from Operation: 59-5=54 Current State: 39:[62, 77, 54], Operations: ['59-5=54'] Exploring Operation: 77-62=15, Resulting Numbers: [54, 15] Generated Node #3: [54, 15] from Operation: 77-62=15 Current State: 39:[54, 15], Operations: ['59-5=54', '77-62=15'] Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 79, 49, 77 ]
81
[ "77-49=28", "56/28=2", "79+2=81" ]
Current State: 81:[56, 79, 49, 77], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [56, 79, 28] Generated Node #2: [56, 79, 28] from Operation: 77-49=28 Current State: 81:[56, 79, 28], Operations: ['77-49=28'] Exploring Operation: 56/28=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 56/28=2 Current State: 81:[79, 2], Operations: ['77-49=28', '56/28=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 58, 71, 88 ]
71
[ "30+58=88", "71+88=159", "159-88=71" ]
Current State: 71:[30, 58, 71, 88], Operations: [] Exploring Operation: 30+58=88, Resulting Numbers: [71, 88, 88] Generated Node #2: [71, 88, 88] from Operation: 30+58=88 Current State: 71:[71, 88, 88], Operations: ['30+58=88'] Exploring Operation: 71+88=159, Resulting Numbers: [159] 159,71 equal: Goal Reached Exploring Operation: 159-88=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 21, 55, 25 ]
77
[ "25-21=4", "33*4=132", "132-55=77" ]
Current State: 77:[33, 21, 55, 25], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [33, 55, 4] Generated Node #2: [33, 55, 4] from Operation: 25-21=4 Current State: 77:[33, 55, 4], Operations: ['25-21=4'] Exploring Operation: 33*4=132, Resulting Numbers: [55, 132] Generated Node #3: [55, 132] from Operation: 33*4=132 Current State: 77:[55, 132], Operations: ['25-21=4', '33*4=132'] Exploring Operation: 132-55=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 10, 51, 58, 30 ]
90
[ "10+51=61", "61-58=3", "30*3=90" ]
Current State: 90:[10, 51, 58, 30], Operations: [] Exploring Operation: 10+51=61, Resulting Numbers: [58, 30, 61] Generated Node #2: [58, 30, 61] from Operation: 10+51=61 Current State: 90:[58, 30, 61], Operations: ['10+51=61'] Exploring Operation: 61-58=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 61-58=3 Current State: 90:[30, 3], Operations: ['10+51=61', '61-58=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 84, 50, 12 ]
38
[ "50-5=45", "84/12=7", "45-7=38" ]
Current State: 38:[5, 84, 50, 12], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [84, 12, 45] Generated Node #2: [84, 12, 45] from Operation: 50-5=45 Current State: 38:[84, 12, 45], Operations: ['50-5=45'] Exploring Operation: 84/12=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 84/12=7 Current State: 38:[45, 7], Operations: ['50-5=45', '84/12=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 77, 49, 96, 95 ]
29
[ "77-49=28", "96-95=1", "28+1=29" ]
Current State: 29:[77, 49, 96, 95], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [96, 95, 28] Generated Node #2: [96, 95, 28] from Operation: 77-49=28 Current State: 29:[96, 95, 28], Operations: ['77-49=28'] Exploring Operation: 96-95=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 96-95=1 Current State: 29:[28, 1], Operations: ['77-49=28', '96-95=1'] Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 37, 69, 82, 4 ]
20
[ "37+69=106", "82+4=86", "106-86=20" ]
Current State: 20:[37, 69, 82, 4], Operations: [] Exploring Operation: 37+69=106, Resulting Numbers: [82, 4, 106] Generated Node #2: [82, 4, 106] from Operation: 37+69=106 Current State: 20:[82, 4, 106], Operations: ['37+69=106'] Exploring Operation: 82+4=86, Resulting Numbers: [106, 86] Generated Node #3: [106, 86] from Operation: 82+4=86 Current State: 20:[106, 86], Operations: ['37+69=106', '82+4=86'] Exploring Operation: 106-86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 7, 66, 8 ]
55
[ "72-66=6", "8*6=48", "7+48=55" ]
Current State: 55:[72, 7, 66, 8], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [7, 8, 6] Generated Node #2: [7, 8, 6] from Operation: 72-66=6 Current State: 55:[7, 8, 6], Operations: ['72-66=6'] Exploring Operation: 8*6=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 8*6=48 Current State: 55:[7, 48], Operations: ['72-66=6', '8*6=48'] Exploring Operation: 7+48=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 24, 38, 11 ]
61
[ "58-24=34", "38-11=27", "34+27=61" ]
Current State: 61:[58, 24, 38, 11], Operations: [] Exploring Operation: 58-24=34, Resulting Numbers: [38, 11, 34] Generated Node #2: [38, 11, 34] from Operation: 58-24=34 Current State: 61:[38, 11, 34], Operations: ['58-24=34'] Exploring Operation: 38-11=27, Resulting Numbers: [34, 27] Generated Node #3: [34, 27] from Operation: 38-11=27 Current State: 61:[34, 27], Operations: ['58-24=34', '38-11=27'] Exploring Operation: 34+27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 6, 91, 63, 56 ]
14
[ "91-63=28", "56+28=84", "84/6=14" ]
Current State: 14:[6, 91, 63, 56], Operations: [] Exploring Operation: 91-63=28, Resulting Numbers: [6, 56, 28] Generated Node #2: [6, 56, 28] from Operation: 91-63=28 Current State: 14:[6, 56, 28], Operations: ['91-63=28'] Exploring Operation: 56+28=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 56+28=84 Current State: 14:[6, 84], Operations: ['91-63=28', '56+28=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 37, 78, 40 ]
28
[ "40-37=3", "78/3=26", "2+26=28" ]
Current State: 28:[2, 37, 78, 40], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [2, 78, 3] Generated Node #2: [2, 78, 3] from Operation: 40-37=3 Current State: 28:[2, 78, 3], Operations: ['40-37=3'] Exploring Operation: 78/3=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 78/3=26 Current State: 28:[2, 26], Operations: ['40-37=3', '78/3=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 69, 85, 23, 27 ]
65
[ "85+23=108", "108/27=4", "69-4=65" ]
Current State: 65:[69, 85, 23, 27], Operations: [] Exploring Operation: 85+23=108, Resulting Numbers: [69, 27, 108] Generated Node #2: [69, 27, 108] from Operation: 85+23=108 Current State: 65:[69, 27, 108], Operations: ['85+23=108'] Exploring Operation: 108/27=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 108/27=4 Current State: 65:[69, 4], Operations: ['85+23=108', '108/27=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 54, 2, 10 ]
59
[ "10+54=64", "10/2=5", "64-5=59" ]
Current State: 59:[10, 54, 2, 10], Operations: [] Exploring Operation: 10+54=64, Resulting Numbers: [2, 64] Generated Node #2: [2, 64] from Operation: 10+54=64 Current State: 59:[2, 64], Operations: ['10+54=64'] Exploring Operation: 10/2=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 10/2=5 Current State: 59:[64, 5], Operations: ['10+54=64', '10/2=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 1, 12, 4, 6 ]
36
[ "1*12=12", "4*6=24", "12+24=36" ]
Current State: 36:[1, 12, 4, 6], Operations: [] Exploring Operation: 1*12=12, Resulting Numbers: [4, 6, 12] Generated Node #2: [4, 6, 12] from Operation: 1*12=12 Current State: 36:[4, 6, 12], Operations: ['1*12=12'] Exploring Operation: 4*6=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 4*6=24 Current State: 36:[12, 24], Operations: ['1*12=12', '4*6=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 22, 54, 73 ]
37
[ "59-54=5", "22*5=110", "110-73=37" ]
Current State: 37:[59, 22, 54, 73], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [22, 73, 5] Generated Node #2: [22, 73, 5] from Operation: 59-54=5 Current State: 37:[22, 73, 5], Operations: ['59-54=5'] Exploring Operation: 22*5=110, Resulting Numbers: [73, 110] Generated Node #3: [73, 110] from Operation: 22*5=110 Current State: 37:[73, 110], Operations: ['59-54=5', '22*5=110'] Exploring Operation: 110-73=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 71, 90, 4 ]
11
[ "90-75=15", "4*15=60", "71-60=11" ]
Current State: 11:[75, 71, 90, 4], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [71, 4, 15] Generated Node #2: [71, 4, 15] from Operation: 90-75=15 Current State: 11:[71, 4, 15], Operations: ['90-75=15'] Exploring Operation: 4*15=60, Resulting Numbers: [71, 60] Generated Node #3: [71, 60] from Operation: 4*15=60 Current State: 11:[71, 60], Operations: ['90-75=15', '4*15=60'] Exploring Operation: 71-60=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 17, 54, 44 ]
30
[ "85-17=68", "54+44=98", "98-68=30" ]
Current State: 30:[85, 17, 54, 44], Operations: [] Exploring Operation: 85-17=68, Resulting Numbers: [54, 44, 68] Generated Node #2: [54, 44, 68] from Operation: 85-17=68 Current State: 30:[54, 44, 68], Operations: ['85-17=68'] Exploring Operation: 54+44=98, Resulting Numbers: [68, 98] Generated Node #3: [68, 98] from Operation: 54+44=98 Current State: 30:[68, 98], Operations: ['85-17=68', '54+44=98'] Exploring Operation: 98-68=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 70, 43, 64 ]
78
[ "47*70=3290", "64+3290=3354", "3354/43=78" ]
Current State: 78:[47, 70, 43, 64], Operations: [] Exploring Operation: 47*70=3290, Resulting Numbers: [43, 64, 3290] Generated Node #2: [43, 64, 3290] from Operation: 47*70=3290 Current State: 78:[43, 64, 3290], Operations: ['47*70=3290'] Exploring Operation: 64+3290=3354, Resulting Numbers: [43, 3354] Generated Node #3: [43, 3354] from Operation: 64+3290=3354 Current State: 78:[43, 3354], Operations: ['47*70=3290', '64+3290=3354'] Exploring Operation: 3354/43=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 53, 66, 65 ]
38
[ "53-14=39", "66-65=1", "39-1=38" ]
Current State: 38:[14, 53, 66, 65], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [66, 65, 39] Generated Node #2: [66, 65, 39] from Operation: 53-14=39 Current State: 38:[66, 65, 39], Operations: ['53-14=39'] Exploring Operation: 66-65=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 66-65=1 Current State: 38:[39, 1], Operations: ['53-14=39', '66-65=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 93, 5, 35, 20 ]
33
[ "93-5=88", "35+20=55", "88-55=33" ]
Current State: 33:[93, 5, 35, 20], Operations: [] Exploring Operation: 93-5=88, Resulting Numbers: [35, 20, 88] Generated Node #2: [35, 20, 88] from Operation: 93-5=88 Current State: 33:[35, 20, 88], Operations: ['93-5=88'] Exploring Operation: 35+20=55, Resulting Numbers: [88, 55] Generated Node #3: [88, 55] from Operation: 35+20=55 Current State: 33:[88, 55], Operations: ['93-5=88', '35+20=55'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 65, 43, 35, 65 ]
35
[ "65-65=0", "43*0=0", "35+0=35" ]
Current State: 35:[65, 43, 35, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [43, 35, 0] Generated Node #2: [43, 35, 0] from Operation: 65-65=0 Current State: 35:[43, 35, 0], Operations: ['65-65=0'] Exploring Operation: 43*0=0, Resulting Numbers: [35, 0] Generated Node #3: [35, 0] from Operation: 43*0=0 Current State: 35:[35, 0], Operations: ['65-65=0', '43*0=0'] Exploring Operation: 35+0=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 60, 89, 69, 18 ]
22
[ "89-60=29", "69-18=51", "51-29=22" ]
Current State: 22:[60, 89, 69, 18], Operations: [] Exploring Operation: 89-60=29, Resulting Numbers: [69, 18, 29] Generated Node #2: [69, 18, 29] from Operation: 89-60=29 Current State: 22:[69, 18, 29], Operations: ['89-60=29'] Exploring Operation: 69-18=51, Resulting Numbers: [29, 51] Generated Node #3: [29, 51] from Operation: 69-18=51 Current State: 22:[29, 51], Operations: ['89-60=29', '69-18=51'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 74, 6, 39, 90 ]
32
[ "74*39=2886", "2886-6=2880", "2880/90=32" ]
Current State: 32:[74, 6, 39, 90], Operations: [] Exploring Operation: 74*39=2886, Resulting Numbers: [6, 90, 2886] Generated Node #2: [6, 90, 2886] from Operation: 74*39=2886 Current State: 32:[6, 90, 2886], Operations: ['74*39=2886'] Exploring Operation: 2886-6=2880, Resulting Numbers: [90, 2880] Generated Node #3: [90, 2880] from Operation: 2886-6=2880 Current State: 32:[90, 2880], Operations: ['74*39=2886', '2886-6=2880'] Exploring Operation: 2880/90=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 51, 42, 36, 2 ]
27
[ "51-42=9", "36/2=18", "9+18=27" ]
Current State: 27:[51, 42, 36, 2], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [36, 2, 9] Generated Node #2: [36, 2, 9] from Operation: 51-42=9 Current State: 27:[36, 2, 9], Operations: ['51-42=9'] Exploring Operation: 36/2=18, Resulting Numbers: [9, 18] Generated Node #3: [9, 18] from Operation: 36/2=18 Current State: 27:[9, 18], Operations: ['51-42=9', '36/2=18'] Exploring Operation: 9+18=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 63, 53, 92 ]
92
[ "53-53=0", "63*0=0", "92+0=92" ]
Current State: 92:[53, 63, 53, 92], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [63, 92, 0] Generated Node #2: [63, 92, 0] from Operation: 53-53=0 Current State: 92:[63, 92, 0], Operations: ['53-53=0'] Exploring Operation: 63*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 63*0=0 Current State: 92:[92, 0], Operations: ['53-53=0', '63*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 33, 68, 12, 87 ]
64
[ "68-33=35", "12+87=99", "99-35=64" ]
Current State: 64:[33, 68, 12, 87], Operations: [] Exploring Operation: 68-33=35, Resulting Numbers: [12, 87, 35] Generated Node #2: [12, 87, 35] from Operation: 68-33=35 Current State: 64:[12, 87, 35], Operations: ['68-33=35'] Exploring Operation: 12+87=99, Resulting Numbers: [35, 99] Generated Node #3: [35, 99] from Operation: 12+87=99 Current State: 64:[35, 99], Operations: ['68-33=35', '12+87=99'] Exploring Operation: 99-35=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 98, 12, 10, 91 ]
58
[ "98-91=7", "10*7=70", "70-12=58" ]
Current State: 58:[98, 12, 10, 91], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [12, 10, 7] Generated Node #2: [12, 10, 7] from Operation: 98-91=7 Current State: 58:[12, 10, 7], Operations: ['98-91=7'] Exploring Operation: 10*7=70, Resulting Numbers: [12, 70] Generated Node #3: [12, 70] from Operation: 10*7=70 Current State: 58:[12, 70], Operations: ['98-91=7', '10*7=70'] Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 99, 98, 46, 79 ]
33
[ "99-98=1", "79-46=33", "1*33=33" ]
Current State: 33:[99, 98, 46, 79], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [46, 79, 1] Generated Node #2: [46, 79, 1] from Operation: 99-98=1 Current State: 33:[46, 79, 1], Operations: ['99-98=1'] Exploring Operation: 79-46=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 79-46=33 Current State: 33:[1, 33], Operations: ['99-98=1', '79-46=33'] Exploring Operation: 1*33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 76, 26, 67, 78 ]
95
[ "76-26=50", "67+78=145", "145-50=95" ]
Current State: 95:[76, 26, 67, 78], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [67, 78, 50] Generated Node #2: [67, 78, 50] from Operation: 76-26=50 Current State: 95:[67, 78, 50], Operations: ['76-26=50'] Exploring Operation: 67+78=145, Resulting Numbers: [50, 145] Generated Node #3: [50, 145] from Operation: 67+78=145 Current State: 95:[50, 145], Operations: ['76-26=50', '67+78=145'] Exploring Operation: 145-50=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 5, 55, 30 ]
73
[ "92-30=62", "55/5=11", "62+11=73" ]
Current State: 73:[92, 5, 55, 30], Operations: [] Exploring Operation: 92-30=62, Resulting Numbers: [5, 55, 62] Generated Node #2: [5, 55, 62] from Operation: 92-30=62 Current State: 73:[5, 55, 62], Operations: ['92-30=62'] Exploring Operation: 55/5=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 55/5=11 Current State: 73:[62, 11], Operations: ['92-30=62', '55/5=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 73, 77, 58, 97 ]
35
[ "77-73=4", "97-58=39", "39-4=35" ]
Current State: 35:[73, 77, 58, 97], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [58, 97, 4] Generated Node #2: [58, 97, 4] from Operation: 77-73=4 Current State: 35:[58, 97, 4], Operations: ['77-73=4'] Exploring Operation: 97-58=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 97-58=39 Current State: 35:[4, 39], Operations: ['77-73=4', '97-58=39'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 24, 75, 96, 9 ]
91
[ "24-9=15", "75/15=5", "96-5=91" ]
Current State: 91:[24, 75, 96, 9], Operations: [] Exploring Operation: 24-9=15, Resulting Numbers: [75, 96, 15] Generated Node #2: [75, 96, 15] from Operation: 24-9=15 Current State: 91:[75, 96, 15], Operations: ['24-9=15'] Exploring Operation: 75/15=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 75/15=5 Current State: 91:[96, 5], Operations: ['24-9=15', '75/15=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 70, 66, 26, 20 ]
81
[ "26-20=6", "66/6=11", "70+11=81" ]
Current State: 81:[70, 66, 26, 20], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [70, 66, 6] Generated Node #2: [70, 66, 6] from Operation: 26-20=6 Current State: 81:[70, 66, 6], Operations: ['26-20=6'] Exploring Operation: 66/6=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 66/6=11 Current State: 81:[70, 11], Operations: ['26-20=6', '66/6=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 2, 39, 83 ]
68
[ "3*39=117", "117-83=34", "2*34=68" ]
Current State: 68:[3, 2, 39, 83], Operations: [] Exploring Operation: 3*39=117, Resulting Numbers: [2, 83, 117] Generated Node #2: [2, 83, 117] from Operation: 3*39=117 Current State: 68:[2, 83, 117], Operations: ['3*39=117'] Exploring Operation: 117-83=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 117-83=34 Current State: 68:[2, 34], Operations: ['3*39=117', '117-83=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 31, 84, 68 ]
64
[ "52-31=21", "84/21=4", "68-4=64" ]
Current State: 64:[52, 31, 84, 68], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [84, 68, 21] Generated Node #2: [84, 68, 21] from Operation: 52-31=21 Current State: 64:[84, 68, 21], Operations: ['52-31=21'] Exploring Operation: 84/21=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 84/21=4 Current State: 64:[68, 4], Operations: ['52-31=21', '84/21=4'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 42, 47, 28, 35 ]
43
[ "42-35=7", "28/7=4", "47-4=43" ]
Current State: 43:[42, 47, 28, 35], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [47, 28, 7] Generated Node #2: [47, 28, 7] from Operation: 42-35=7 Current State: 43:[47, 28, 7], Operations: ['42-35=7'] Exploring Operation: 28/7=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 28/7=4 Current State: 43:[47, 4], Operations: ['42-35=7', '28/7=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 11, 7, 31 ]
99
[ "11-7=4", "31*4=124", "124-25=99" ]
Current State: 99:[25, 11, 7, 31], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [25, 31, 4] Generated Node #2: [25, 31, 4] from Operation: 11-7=4 Current State: 99:[25, 31, 4], Operations: ['11-7=4'] Exploring Operation: 31*4=124, Resulting Numbers: [25, 124] Generated Node #3: [25, 124] from Operation: 31*4=124 Current State: 99:[25, 124], Operations: ['11-7=4', '31*4=124'] Exploring Operation: 124-25=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 29, 55, 42 ]
34
[ "55-29=26", "42+26=68", "68/2=34" ]
Current State: 34:[2, 29, 55, 42], Operations: [] Exploring Operation: 55-29=26, Resulting Numbers: [2, 42, 26] Generated Node #2: [2, 42, 26] from Operation: 55-29=26 Current State: 34:[2, 42, 26], Operations: ['55-29=26'] Exploring Operation: 42+26=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 42+26=68 Current State: 34:[2, 68], Operations: ['55-29=26', '42+26=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 23, 7, 6 ]
78
[ "7*7=49", "23+6=29", "49+29=78" ]
Current State: 78:[7, 23, 7, 6], Operations: [] Exploring Operation: 7*7=49, Resulting Numbers: [23, 6, 49] Generated Node #2: [23, 6, 49] from Operation: 7*7=49 Current State: 78:[23, 6, 49], Operations: ['7*7=49'] Exploring Operation: 23+6=29, Resulting Numbers: [49, 29] Generated Node #3: [49, 29] from Operation: 23+6=29 Current State: 78:[49, 29], Operations: ['7*7=49', '23+6=29'] Exploring Operation: 49+29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 82, 84, 76, 63 ]
15
[ "84-82=2", "76-63=13", "2+13=15" ]
Current State: 15:[82, 84, 76, 63], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [76, 63, 2] Generated Node #2: [76, 63, 2] from Operation: 84-82=2 Current State: 15:[76, 63, 2], Operations: ['84-82=2'] Exploring Operation: 76-63=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 76-63=13 Current State: 15:[2, 13], Operations: ['84-82=2', '76-63=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 63, 32, 5, 99 ]
56
[ "63-32=31", "5*31=155", "155-99=56" ]
Current State: 56:[63, 32, 5, 99], Operations: [] Exploring Operation: 63-32=31, Resulting Numbers: [5, 99, 31] Generated Node #2: [5, 99, 31] from Operation: 63-32=31 Current State: 56:[5, 99, 31], Operations: ['63-32=31'] Exploring Operation: 5*31=155, Resulting Numbers: [99, 155] Generated Node #3: [99, 155] from Operation: 5*31=155 Current State: 56:[99, 155], Operations: ['63-32=31', '5*31=155'] Exploring Operation: 155-99=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 64, 44, 4, 96 ]
80
[ "64-44=20", "4+96=100", "100-20=80" ]
Current State: 80:[64, 44, 4, 96], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [4, 96, 20] Generated Node #2: [4, 96, 20] from Operation: 64-44=20 Current State: 80:[4, 96, 20], Operations: ['64-44=20'] Exploring Operation: 4+96=100, Resulting Numbers: [20, 100] Generated Node #3: [20, 100] from Operation: 4+96=100 Current State: 80:[20, 100], Operations: ['64-44=20', '4+96=100'] Exploring Operation: 100-20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 57, 80, 36, 83 ]
17
[ "83-80=3", "57/3=19", "36-19=17" ]
Current State: 17:[57, 80, 36, 83], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [57, 36, 3] Generated Node #2: [57, 36, 3] from Operation: 83-80=3 Current State: 17:[57, 36, 3], Operations: ['83-80=3'] Exploring Operation: 57/3=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 57/3=19 Current State: 17:[36, 19], Operations: ['83-80=3', '57/3=19'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 18, 86, 99, 64 ]
95
[ "86-18=68", "99+64=163", "163-68=95" ]
Current State: 95:[18, 86, 99, 64], Operations: [] Exploring Operation: 86-18=68, Resulting Numbers: [99, 64, 68] Generated Node #2: [99, 64, 68] from Operation: 86-18=68 Current State: 95:[99, 64, 68], Operations: ['86-18=68'] Exploring Operation: 99+64=163, Resulting Numbers: [68, 163] Generated Node #3: [68, 163] from Operation: 99+64=163 Current State: 95:[68, 163], Operations: ['86-18=68', '99+64=163'] Exploring Operation: 163-68=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 14, 6, 96, 96 ]
66
[ "96-14=82", "96/6=16", "82-16=66" ]
Current State: 66:[14, 6, 96, 96], Operations: [] Exploring Operation: 96-14=82, Resulting Numbers: [6, 82] Generated Node #2: [6, 82] from Operation: 96-14=82 Current State: 66:[6, 82], Operations: ['96-14=82'] Exploring Operation: 96/6=16, Resulting Numbers: [82, 16] Generated Node #3: [82, 16] from Operation: 96/6=16 Current State: 66:[82, 16], Operations: ['96-14=82', '96/6=16'] Exploring Operation: 82-16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 6, 85, 5 ]
54
[ "85/5=17", "26-17=9", "6*9=54" ]
Current State: 54:[26, 6, 85, 5], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [26, 6, 17] Generated Node #2: [26, 6, 17] from Operation: 85/5=17 Current State: 54:[26, 6, 17], Operations: ['85/5=17'] Exploring Operation: 26-17=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 26-17=9 Current State: 54:[6, 9], Operations: ['85/5=17', '26-17=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 78, 12, 32, 72 ]
19
[ "78*12=936", "936/72=13", "32-13=19" ]
Current State: 19:[78, 12, 32, 72], Operations: [] Exploring Operation: 78*12=936, Resulting Numbers: [32, 72, 936] Generated Node #2: [32, 72, 936] from Operation: 78*12=936 Current State: 19:[32, 72, 936], Operations: ['78*12=936'] Exploring Operation: 936/72=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 936/72=13 Current State: 19:[32, 13], Operations: ['78*12=936', '936/72=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 79, 58, 18, 40 ]
79
[ "79+58=137", "18+40=58", "137-58=79" ]
Current State: 79:[79, 58, 18, 40], Operations: [] Exploring Operation: 79+58=137, Resulting Numbers: [18, 40, 137] Generated Node #2: [18, 40, 137] from Operation: 79+58=137 Current State: 79:[18, 40, 137], Operations: ['79+58=137'] Exploring Operation: 18+40=58, Resulting Numbers: [137, 58] Generated Node #3: [137, 58] from Operation: 18+40=58 Current State: 79:[137, 58], Operations: ['79+58=137', '18+40=58'] Exploring Operation: 137-58=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 97, 4, 8 ]
75
[ "56/4=14", "97-8=89", "89-14=75" ]
Current State: 75:[56, 97, 4, 8], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [97, 8, 14] Generated Node #2: [97, 8, 14] from Operation: 56/4=14 Current State: 75:[97, 8, 14], Operations: ['56/4=14'] Exploring Operation: 97-8=89, Resulting Numbers: [14, 89] Generated Node #3: [14, 89] from Operation: 97-8=89 Current State: 75:[14, 89], Operations: ['56/4=14', '97-8=89'] Exploring Operation: 89-14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 22, 67, 24 ]
19
[ "22/11=2", "24*2=48", "67-48=19" ]
Current State: 19:[11, 22, 67, 24], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [67, 24, 2] Generated Node #2: [67, 24, 2] from Operation: 22/11=2 Current State: 19:[67, 24, 2], Operations: ['22/11=2'] Exploring Operation: 24*2=48, Resulting Numbers: [67, 48] Generated Node #3: [67, 48] from Operation: 24*2=48 Current State: 19:[67, 48], Operations: ['22/11=2', '24*2=48'] Exploring Operation: 67-48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 3, 35, 62 ]
94
[ "62-35=27", "27/3=9", "85+9=94" ]
Current State: 94:[85, 3, 35, 62], Operations: [] Exploring Operation: 62-35=27, Resulting Numbers: [85, 3, 27] Generated Node #2: [85, 3, 27] from Operation: 62-35=27 Current State: 94:[85, 3, 27], Operations: ['62-35=27'] Exploring Operation: 27/3=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 27/3=9 Current State: 94:[85, 9], Operations: ['62-35=27', '27/3=9'] Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 16, 88, 18 ]
95
[ "94+18=112", "112/16=7", "88+7=95" ]
Current State: 95:[94, 16, 88, 18], Operations: [] Exploring Operation: 94+18=112, Resulting Numbers: [16, 88, 112] Generated Node #2: [16, 88, 112] from Operation: 94+18=112 Current State: 95:[16, 88, 112], Operations: ['94+18=112'] Exploring Operation: 112/16=7, Resulting Numbers: [88, 7] Generated Node #3: [88, 7] from Operation: 112/16=7 Current State: 95:[88, 7], Operations: ['94+18=112', '112/16=7'] Exploring Operation: 88+7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 21, 41, 29 ]
97
[ "88+21=109", "41-29=12", "109-12=97" ]
Current State: 97:[88, 21, 41, 29], Operations: [] Exploring Operation: 88+21=109, Resulting Numbers: [41, 29, 109] Generated Node #2: [41, 29, 109] from Operation: 88+21=109 Current State: 97:[41, 29, 109], Operations: ['88+21=109'] Exploring Operation: 41-29=12, Resulting Numbers: [109, 12] Generated Node #3: [109, 12] from Operation: 41-29=12 Current State: 97:[109, 12], Operations: ['88+21=109', '41-29=12'] Exploring Operation: 109-12=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 59, 24, 30, 3 ]
21
[ "59-30=29", "24/3=8", "29-8=21" ]
Current State: 21:[59, 24, 30, 3], Operations: [] Exploring Operation: 59-30=29, Resulting Numbers: [24, 3, 29] Generated Node #2: [24, 3, 29] from Operation: 59-30=29 Current State: 21:[24, 3, 29], Operations: ['59-30=29'] Exploring Operation: 24/3=8, Resulting Numbers: [29, 8] Generated Node #3: [29, 8] from Operation: 24/3=8 Current State: 21:[29, 8], Operations: ['59-30=29', '24/3=8'] Exploring Operation: 29-8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 96, 84, 8, 10 ]
26
[ "96+84=180", "180/10=18", "8+18=26" ]
Current State: 26:[96, 84, 8, 10], Operations: [] Exploring Operation: 96+84=180, Resulting Numbers: [8, 10, 180] Generated Node #2: [8, 10, 180] from Operation: 96+84=180 Current State: 26:[8, 10, 180], Operations: ['96+84=180'] Exploring Operation: 180/10=18, Resulting Numbers: [8, 18] Generated Node #3: [8, 18] from Operation: 180/10=18 Current State: 26:[8, 18], Operations: ['96+84=180', '180/10=18'] Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 80, 12, 12, 99 ]
18
[ "99-80=19", "12/12=1", "19-1=18" ]
Current State: 18:[80, 12, 12, 99], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [12, 12, 19] Generated Node #2: [12, 12, 19] from Operation: 99-80=19 Current State: 18:[12, 12, 19], Operations: ['99-80=19'] Exploring Operation: 12/12=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 12/12=1 Current State: 18:[19, 1], Operations: ['99-80=19', '12/12=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 63, 51, 10 ]
81
[ "83-63=20", "51+10=61", "20+61=81" ]
Current State: 81:[83, 63, 51, 10], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [51, 10, 20] Generated Node #2: [51, 10, 20] from Operation: 83-63=20 Current State: 81:[51, 10, 20], Operations: ['83-63=20'] Exploring Operation: 51+10=61, Resulting Numbers: [20, 61] Generated Node #3: [20, 61] from Operation: 51+10=61 Current State: 81:[20, 61], Operations: ['83-63=20', '51+10=61'] Exploring Operation: 20+61=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 12, 4, 21, 37 ]
42
[ "12+4=16", "21+37=58", "58-16=42" ]
Current State: 42:[12, 4, 21, 37], Operations: [] Exploring Operation: 12+4=16, Resulting Numbers: [21, 37, 16] Generated Node #2: [21, 37, 16] from Operation: 12+4=16 Current State: 42:[21, 37, 16], Operations: ['12+4=16'] Exploring Operation: 21+37=58, Resulting Numbers: [16, 58] Generated Node #3: [16, 58] from Operation: 21+37=58 Current State: 42:[16, 58], Operations: ['12+4=16', '21+37=58'] Exploring Operation: 58-16=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 32, 98, 16 ]
38
[ "68*32=2176", "2176/16=136", "136-98=38" ]
Current State: 38:[68, 32, 98, 16], Operations: [] Exploring Operation: 68*32=2176, Resulting Numbers: [98, 16, 2176] Generated Node #2: [98, 16, 2176] from Operation: 68*32=2176 Current State: 38:[98, 16, 2176], Operations: ['68*32=2176'] Exploring Operation: 2176/16=136, Resulting Numbers: [98, 136] Generated Node #3: [98, 136] from Operation: 2176/16=136 Current State: 38:[98, 136], Operations: ['68*32=2176', '2176/16=136'] Exploring Operation: 136-98=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4