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
[ 58, 55, 42, 23 ]
16
[ "58-55=3", "42-23=19", "19-3=16" ]
Current State: 16:[58, 55, 42, 23], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [42, 23, 3] Generated Node #2: [42, 23, 3] from Operation: 58-55=3 Current State: 16:[42, 23, 3], Operations: ['58-55=3'] Exploring Operation: 42-23=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 42-23=19 Current State: 16:[3, 19], Operations: ['58-55=3', '42-23=19'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 19, 72, 15 ]
26
[ "72-69=3", "15*3=45", "45-19=26" ]
Current State: 26:[69, 19, 72, 15], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [19, 15, 3] Generated Node #2: [19, 15, 3] from Operation: 72-69=3 Current State: 26:[19, 15, 3], Operations: ['72-69=3'] Exploring Operation: 15*3=45, Resulting Numbers: [19, 45] Generated Node #3: [19, 45] from Operation: 15*3=45 Current State: 26:[19, 45], Operations: ['72-69=3', '15*3=45'] Exploring Operation: 45-19=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 22, 20, 22 ]
29
[ "22-22=0", "20*0=0", "29+0=29" ]
Current State: 29:[29, 22, 20, 22], Operations: [] Exploring Operation: 22-22=0, Resulting Numbers: [29, 20, 0] Generated Node #2: [29, 20, 0] from Operation: 22-22=0 Current State: 29:[29, 20, 0], Operations: ['22-22=0'] Exploring Operation: 20*0=0, Resulting Numbers: [29, 0] Generated Node #3: [29, 0] from Operation: 20*0=0 Current State: 29:[29, 0], Operations: ['22-22=0', '20*0=0'] Exploring Operation: 29+0=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 37, 85, 14 ]
35
[ "85-78=7", "14/7=2", "37-2=35" ]
Current State: 35:[78, 37, 85, 14], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [37, 14, 7] Generated Node #2: [37, 14, 7] from Operation: 85-78=7 Current State: 35:[37, 14, 7], Operations: ['85-78=7'] Exploring Operation: 14/7=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 14/7=2 Current State: 35:[37, 2], Operations: ['85-78=7', '14/7=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 17, 4, 43 ]
68
[ "98+17=115", "4+43=47", "115-47=68" ]
Current State: 68:[98, 17, 4, 43], Operations: [] Exploring Operation: 98+17=115, Resulting Numbers: [4, 43, 115] Generated Node #2: [4, 43, 115] from Operation: 98+17=115 Current State: 68:[4, 43, 115], Operations: ['98+17=115'] Exploring Operation: 4+43=47, Resulting Numbers: [115, 47] Generated Node #3: [115, 47] from Operation: 4+43=47 Current State: 68:[115, 47], Operations: ['98+17=115', '4+43=47'] Exploring Operation: 115-47=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 54, 45, 94 ]
72
[ "13+54=67", "45+94=139", "139-67=72" ]
Current State: 72:[13, 54, 45, 94], Operations: [] Exploring Operation: 13+54=67, Resulting Numbers: [45, 94, 67] Generated Node #2: [45, 94, 67] from Operation: 13+54=67 Current State: 72:[45, 94, 67], Operations: ['13+54=67'] Exploring Operation: 45+94=139, Resulting Numbers: [67, 139] Generated Node #3: [67, 139] from Operation: 45+94=139 Current State: 72:[67, 139], Operations: ['13+54=67', '45+94=139'] Exploring Operation: 139-67=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 18, 62, 57 ]
48
[ "90+62=152", "18*152=2736", "2736/57=48" ]
Current State: 48:[90, 18, 62, 57], Operations: [] Exploring Operation: 90+62=152, Resulting Numbers: [18, 57, 152] Generated Node #2: [18, 57, 152] from Operation: 90+62=152 Current State: 48:[18, 57, 152], Operations: ['90+62=152'] Exploring Operation: 18*152=2736, Resulting Numbers: [57, 2736] Generated Node #3: [57, 2736] from Operation: 18*152=2736 Current State: 48:[57, 2736], Operations: ['90+62=152', '18*152=2736'] Exploring Operation: 2736/57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 92, 51, 23 ]
87
[ "23+92=115", "51-23=28", "115-28=87" ]
Current State: 87:[23, 92, 51, 23], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [51, 115] Generated Node #2: [51, 115] from Operation: 23+92=115 Current State: 87:[51, 115], Operations: ['23+92=115'] Exploring Operation: 51-23=28, Resulting Numbers: [115, 28] Generated Node #3: [115, 28] from Operation: 51-23=28 Current State: 87:[115, 28], Operations: ['23+92=115', '51-23=28'] Exploring Operation: 115-28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 89, 26, 5, 9 ]
14
[ "89+26=115", "115/5=23", "23-9=14" ]
Current State: 14:[89, 26, 5, 9], Operations: [] Exploring Operation: 89+26=115, Resulting Numbers: [5, 9, 115] Generated Node #2: [5, 9, 115] from Operation: 89+26=115 Current State: 14:[5, 9, 115], Operations: ['89+26=115'] Exploring Operation: 115/5=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 115/5=23 Current State: 14:[9, 23], Operations: ['89+26=115', '115/5=23'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 95, 82, 3, 75 ]
48
[ "95+82=177", "3*75=225", "225-177=48" ]
Current State: 48:[95, 82, 3, 75], Operations: [] Exploring Operation: 95+82=177, Resulting Numbers: [3, 75, 177] Generated Node #2: [3, 75, 177] from Operation: 95+82=177 Current State: 48:[3, 75, 177], Operations: ['95+82=177'] Exploring Operation: 3*75=225, Resulting Numbers: [177, 225] Generated Node #3: [177, 225] from Operation: 3*75=225 Current State: 48:[177, 225], Operations: ['95+82=177', '3*75=225'] Exploring Operation: 225-177=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 18, 87, 13 ]
65
[ "17+18=35", "87+13=100", "100-35=65" ]
Current State: 65:[17, 18, 87, 13], Operations: [] Exploring Operation: 17+18=35, Resulting Numbers: [87, 13, 35] Generated Node #2: [87, 13, 35] from Operation: 17+18=35 Current State: 65:[87, 13, 35], Operations: ['17+18=35'] Exploring Operation: 87+13=100, Resulting Numbers: [35, 100] Generated Node #3: [35, 100] from Operation: 87+13=100 Current State: 65:[35, 100], Operations: ['17+18=35', '87+13=100'] Exploring Operation: 100-35=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 7, 90, 84 ]
91
[ "90-84=6", "7*6=42", "49+42=91" ]
Current State: 91:[49, 7, 90, 84], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [49, 7, 6] Generated Node #2: [49, 7, 6] from Operation: 90-84=6 Current State: 91:[49, 7, 6], Operations: ['90-84=6'] Exploring Operation: 7*6=42, Resulting Numbers: [49, 42] Generated Node #3: [49, 42] from Operation: 7*6=42 Current State: 91:[49, 42], Operations: ['90-84=6', '7*6=42'] Exploring Operation: 49+42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 43, 94, 47 ]
99
[ "43*94=4042", "4042/47=86", "13+86=99" ]
Current State: 99:[13, 43, 94, 47], Operations: [] Exploring Operation: 43*94=4042, Resulting Numbers: [13, 47, 4042] Generated Node #2: [13, 47, 4042] from Operation: 43*94=4042 Current State: 99:[13, 47, 4042], Operations: ['43*94=4042'] Exploring Operation: 4042/47=86, Resulting Numbers: [13, 86] Generated Node #3: [13, 86] from Operation: 4042/47=86 Current State: 99:[13, 86], Operations: ['43*94=4042', '4042/47=86'] Exploring Operation: 13+86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 47, 27, 43, 65 ]
42
[ "47-27=20", "65-43=22", "20+22=42" ]
Current State: 42:[47, 27, 43, 65], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [43, 65, 20] Generated Node #2: [43, 65, 20] from Operation: 47-27=20 Current State: 42:[43, 65, 20], Operations: ['47-27=20'] Exploring Operation: 65-43=22, Resulting Numbers: [20, 22] Generated Node #3: [20, 22] from Operation: 65-43=22 Current State: 42:[20, 22], Operations: ['47-27=20', '65-43=22'] Exploring Operation: 20+22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 67, 59, 90, 6 ]
88
[ "67-59=8", "90+6=96", "96-8=88" ]
Current State: 88:[67, 59, 90, 6], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [90, 6, 8] Generated Node #2: [90, 6, 8] from Operation: 67-59=8 Current State: 88:[90, 6, 8], Operations: ['67-59=8'] Exploring Operation: 90+6=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 90+6=96 Current State: 88:[8, 96], Operations: ['67-59=8', '90+6=96'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 26, 91, 99, 70 ]
94
[ "91-26=65", "99-70=29", "65+29=94" ]
Current State: 94:[26, 91, 99, 70], Operations: [] Exploring Operation: 91-26=65, Resulting Numbers: [99, 70, 65] Generated Node #2: [99, 70, 65] from Operation: 91-26=65 Current State: 94:[99, 70, 65], Operations: ['91-26=65'] Exploring Operation: 99-70=29, Resulting Numbers: [65, 29] Generated Node #3: [65, 29] from Operation: 99-70=29 Current State: 94:[65, 29], Operations: ['91-26=65', '99-70=29'] Exploring Operation: 65+29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 22, 67, 83, 68 ]
74
[ "22+67=89", "83-68=15", "89-15=74" ]
Current State: 74:[22, 67, 83, 68], Operations: [] Exploring Operation: 22+67=89, Resulting Numbers: [83, 68, 89] Generated Node #2: [83, 68, 89] from Operation: 22+67=89 Current State: 74:[83, 68, 89], Operations: ['22+67=89'] Exploring Operation: 83-68=15, Resulting Numbers: [89, 15] Generated Node #3: [89, 15] from Operation: 83-68=15 Current State: 74:[89, 15], Operations: ['22+67=89', '83-68=15'] Exploring Operation: 89-15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 74, 88, 11, 88 ]
74
[ "88-88=0", "11*0=0", "74+0=74" ]
Current State: 74:[74, 88, 11, 88], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [74, 11, 0] Generated Node #2: [74, 11, 0] from Operation: 88-88=0 Current State: 74:[74, 11, 0], Operations: ['88-88=0'] Exploring Operation: 11*0=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 11*0=0 Current State: 74:[74, 0], Operations: ['88-88=0', '11*0=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 55, 24, 44, 18 ]
22
[ "44*18=792", "792/24=33", "55-33=22" ]
Current State: 22:[55, 24, 44, 18], Operations: [] Exploring Operation: 44*18=792, Resulting Numbers: [55, 24, 792] Generated Node #2: [55, 24, 792] from Operation: 44*18=792 Current State: 22:[55, 24, 792], Operations: ['44*18=792'] Exploring Operation: 792/24=33, Resulting Numbers: [55, 33] Generated Node #3: [55, 33] from Operation: 792/24=33 Current State: 22:[55, 33], Operations: ['44*18=792', '792/24=33'] Exploring Operation: 55-33=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 2, 79, 70 ]
90
[ "2*79=158", "70-2=68", "158-68=90" ]
Current State: 90:[2, 2, 79, 70], Operations: [] Exploring Operation: 2*79=158, Resulting Numbers: [70, 158] Generated Node #2: [70, 158] from Operation: 2*79=158 Current State: 90:[70, 158], Operations: ['2*79=158'] Exploring Operation: 70-2=68, Resulting Numbers: [158, 68] Generated Node #3: [158, 68] from Operation: 70-2=68 Current State: 90:[158, 68], Operations: ['2*79=158', '70-2=68'] Exploring Operation: 158-68=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 48, 91, 98 ]
79
[ "38+48=86", "98-91=7", "86-7=79" ]
Current State: 79:[38, 48, 91, 98], Operations: [] Exploring Operation: 38+48=86, Resulting Numbers: [91, 98, 86] Generated Node #2: [91, 98, 86] from Operation: 38+48=86 Current State: 79:[91, 98, 86], Operations: ['38+48=86'] Exploring Operation: 98-91=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 98-91=7 Current State: 79:[86, 7], Operations: ['38+48=86', '98-91=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 67, 21, 72 ]
31
[ "70-67=3", "21+72=93", "93/3=31" ]
Current State: 31:[70, 67, 21, 72], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [21, 72, 3] Generated Node #2: [21, 72, 3] from Operation: 70-67=3 Current State: 31:[21, 72, 3], Operations: ['70-67=3'] Exploring Operation: 21+72=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 21+72=93 Current State: 31:[3, 93], Operations: ['70-67=3', '21+72=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 11, 36, 46, 44 ]
78
[ "44/11=4", "36+46=82", "82-4=78" ]
Current State: 78:[11, 36, 46, 44], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [36, 46, 4] Generated Node #2: [36, 46, 4] from Operation: 44/11=4 Current State: 78:[36, 46, 4], Operations: ['44/11=4'] Exploring Operation: 36+46=82, Resulting Numbers: [4, 82] Generated Node #3: [4, 82] from Operation: 36+46=82 Current State: 78:[4, 82], Operations: ['44/11=4', '36+46=82'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 36, 1, 26, 77 ]
67
[ "36*1=36", "26+77=103", "103-36=67" ]
Current State: 67:[36, 1, 26, 77], Operations: [] Exploring Operation: 36*1=36, Resulting Numbers: [26, 77, 36] Generated Node #2: [26, 77, 36] from Operation: 36*1=36 Current State: 67:[26, 77, 36], Operations: ['36*1=36'] Exploring Operation: 26+77=103, Resulting Numbers: [36, 103] Generated Node #3: [36, 103] from Operation: 26+77=103 Current State: 67:[36, 103], Operations: ['36*1=36', '26+77=103'] Exploring Operation: 103-36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 35, 75, 47, 42 ]
49
[ "75-35=40", "47+42=89", "89-40=49" ]
Current State: 49:[35, 75, 47, 42], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [47, 42, 40] Generated Node #2: [47, 42, 40] from Operation: 75-35=40 Current State: 49:[47, 42, 40], Operations: ['75-35=40'] Exploring Operation: 47+42=89, Resulting Numbers: [40, 89] Generated Node #3: [40, 89] from Operation: 47+42=89 Current State: 49:[40, 89], Operations: ['75-35=40', '47+42=89'] Exploring Operation: 89-40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 80, 77, 62, 81 ]
89
[ "80-77=3", "81/3=27", "62+27=89" ]
Current State: 89:[80, 77, 62, 81], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [62, 81, 3] Generated Node #2: [62, 81, 3] from Operation: 80-77=3 Current State: 89:[62, 81, 3], Operations: ['80-77=3'] Exploring Operation: 81/3=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 81/3=27 Current State: 89:[62, 27], Operations: ['80-77=3', '81/3=27'] Exploring Operation: 62+27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 51, 36, 99, 41 ]
43
[ "51-36=15", "99-41=58", "58-15=43" ]
Current State: 43:[51, 36, 99, 41], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [99, 41, 15] Generated Node #2: [99, 41, 15] from Operation: 51-36=15 Current State: 43:[99, 41, 15], Operations: ['51-36=15'] Exploring Operation: 99-41=58, Resulting Numbers: [15, 58] Generated Node #3: [15, 58] from Operation: 99-41=58 Current State: 43:[15, 58], Operations: ['51-36=15', '99-41=58'] Exploring Operation: 58-15=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 34, 11, 37 ]
37
[ "29+34=63", "37-11=26", "63-26=37" ]
Current State: 37:[29, 34, 11, 37], Operations: [] Exploring Operation: 29+34=63, Resulting Numbers: [11, 37, 63] Generated Node #2: [11, 37, 63] from Operation: 29+34=63 Current State: 37:[11, 37, 63], Operations: ['29+34=63'] Exploring Operation: 37-11=26, Resulting Numbers: [63, 26] Generated Node #3: [63, 26] from Operation: 37-11=26 Current State: 37:[63, 26], Operations: ['29+34=63', '37-11=26'] Exploring Operation: 63-26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 77, 22, 54 ]
88
[ "77-19=58", "58-54=4", "22*4=88" ]
Current State: 88:[19, 77, 22, 54], Operations: [] Exploring Operation: 77-19=58, Resulting Numbers: [22, 54, 58] Generated Node #2: [22, 54, 58] from Operation: 77-19=58 Current State: 88:[22, 54, 58], Operations: ['77-19=58'] Exploring Operation: 58-54=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 58-54=4 Current State: 88:[22, 4], Operations: ['77-19=58', '58-54=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 76, 3, 64, 70 ]
78
[ "70-64=6", "6/3=2", "76+2=78" ]
Current State: 78:[76, 3, 64, 70], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [76, 3, 6] Generated Node #2: [76, 3, 6] from Operation: 70-64=6 Current State: 78:[76, 3, 6], Operations: ['70-64=6'] Exploring Operation: 6/3=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 6/3=2 Current State: 78:[76, 2], Operations: ['70-64=6', '6/3=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 7, 45, 11, 18 ]
10
[ "11-7=4", "45*4=180", "180/18=10" ]
Current State: 10:[7, 45, 11, 18], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [45, 18, 4] Generated Node #2: [45, 18, 4] from Operation: 11-7=4 Current State: 10:[45, 18, 4], Operations: ['11-7=4'] Exploring Operation: 45*4=180, Resulting Numbers: [18, 180] Generated Node #3: [18, 180] from Operation: 45*4=180 Current State: 10:[18, 180], Operations: ['11-7=4', '45*4=180'] Exploring Operation: 180/18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 47, 39, 87 ]
90
[ "91+47=138", "87-39=48", "138-48=90" ]
Current State: 90:[91, 47, 39, 87], Operations: [] Exploring Operation: 91+47=138, Resulting Numbers: [39, 87, 138] Generated Node #2: [39, 87, 138] from Operation: 91+47=138 Current State: 90:[39, 87, 138], Operations: ['91+47=138'] Exploring Operation: 87-39=48, Resulting Numbers: [138, 48] Generated Node #3: [138, 48] from Operation: 87-39=48 Current State: 90:[138, 48], Operations: ['91+47=138', '87-39=48'] Exploring Operation: 138-48=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 41, 82, 92 ]
67
[ "16+41=57", "92-82=10", "57+10=67" ]
Current State: 67:[16, 41, 82, 92], Operations: [] Exploring Operation: 16+41=57, Resulting Numbers: [82, 92, 57] Generated Node #2: [82, 92, 57] from Operation: 16+41=57 Current State: 67:[82, 92, 57], Operations: ['16+41=57'] Exploring Operation: 92-82=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 92-82=10 Current State: 67:[57, 10], Operations: ['16+41=57', '92-82=10'] Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 12, 37, 20, 30 ]
19
[ "12*30=360", "360/20=18", "37-18=19" ]
Current State: 19:[12, 37, 20, 30], Operations: [] Exploring Operation: 12*30=360, Resulting Numbers: [37, 20, 360] Generated Node #2: [37, 20, 360] from Operation: 12*30=360 Current State: 19:[37, 20, 360], Operations: ['12*30=360'] Exploring Operation: 360/20=18, Resulting Numbers: [37, 18] Generated Node #3: [37, 18] from Operation: 360/20=18 Current State: 19:[37, 18], Operations: ['12*30=360', '360/20=18'] Exploring Operation: 37-18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 23, 34, 37, 2 ]
50
[ "34-23=11", "37+2=39", "11+39=50" ]
Current State: 50:[23, 34, 37, 2], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [37, 2, 11] Generated Node #2: [37, 2, 11] from Operation: 34-23=11 Current State: 50:[37, 2, 11], Operations: ['34-23=11'] Exploring Operation: 37+2=39, Resulting Numbers: [11, 39] Generated Node #3: [11, 39] from Operation: 37+2=39 Current State: 50:[11, 39], Operations: ['34-23=11', '37+2=39'] Exploring Operation: 11+39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 46, 54, 72, 44 ]
13
[ "54*44=2376", "2376/72=33", "46-33=13" ]
Current State: 13:[46, 54, 72, 44], Operations: [] Exploring Operation: 54*44=2376, Resulting Numbers: [46, 72, 2376] Generated Node #2: [46, 72, 2376] from Operation: 54*44=2376 Current State: 13:[46, 72, 2376], Operations: ['54*44=2376'] Exploring Operation: 2376/72=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 2376/72=33 Current State: 13:[46, 33], Operations: ['54*44=2376', '2376/72=33'] Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 36, 36, 6 ]
15
[ "18+36=54", "36+54=90", "90/6=15" ]
Current State: 15:[18, 36, 36, 6], Operations: [] Exploring Operation: 18+36=54, Resulting Numbers: [6, 54] Generated Node #2: [6, 54] from Operation: 18+36=54 Current State: 15:[6, 54], Operations: ['18+36=54'] Exploring Operation: 36+54=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 36+54=90 Current State: 15:[6, 90], Operations: ['18+36=54', '36+54=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 8, 11, 21 ]
23
[ "75+21=96", "96/8=12", "11+12=23" ]
Current State: 23:[75, 8, 11, 21], Operations: [] Exploring Operation: 75+21=96, Resulting Numbers: [8, 11, 96] Generated Node #2: [8, 11, 96] from Operation: 75+21=96 Current State: 23:[8, 11, 96], Operations: ['75+21=96'] Exploring Operation: 96/8=12, Resulting Numbers: [11, 12] Generated Node #3: [11, 12] from Operation: 96/8=12 Current State: 23:[11, 12], Operations: ['75+21=96', '96/8=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 56, 88, 15 ]
100
[ "56-29=27", "88-15=73", "27+73=100" ]
Current State: 100:[29, 56, 88, 15], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [88, 15, 27] Generated Node #2: [88, 15, 27] from Operation: 56-29=27 Current State: 100:[88, 15, 27], Operations: ['56-29=27'] Exploring Operation: 88-15=73, Resulting Numbers: [27, 73] Generated Node #3: [27, 73] from Operation: 88-15=73 Current State: 100:[27, 73], Operations: ['56-29=27', '88-15=73'] Exploring Operation: 27+73=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 73, 75, 63 ]
42
[ "23+73=96", "75+63=138", "138-96=42" ]
Current State: 42:[23, 73, 75, 63], Operations: [] Exploring Operation: 23+73=96, Resulting Numbers: [75, 63, 96] Generated Node #2: [75, 63, 96] from Operation: 23+73=96 Current State: 42:[75, 63, 96], Operations: ['23+73=96'] Exploring Operation: 75+63=138, Resulting Numbers: [96, 138] Generated Node #3: [96, 138] from Operation: 75+63=138 Current State: 42:[96, 138], Operations: ['23+73=96', '75+63=138'] Exploring Operation: 138-96=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 91, 66, 56, 13 ]
39
[ "66-56=10", "13*10=130", "130-91=39" ]
Current State: 39:[91, 66, 56, 13], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [91, 13, 10] Generated Node #2: [91, 13, 10] from Operation: 66-56=10 Current State: 39:[91, 13, 10], Operations: ['66-56=10'] Exploring Operation: 13*10=130, Resulting Numbers: [91, 130] Generated Node #3: [91, 130] from Operation: 13*10=130 Current State: 39:[91, 130], Operations: ['66-56=10', '13*10=130'] Exploring Operation: 130-91=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 30, 89, 74 ]
34
[ "89-74=15", "30/15=2", "36-2=34" ]
Current State: 34:[36, 30, 89, 74], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [36, 30, 15] Generated Node #2: [36, 30, 15] from Operation: 89-74=15 Current State: 34:[36, 30, 15], Operations: ['89-74=15'] Exploring Operation: 30/15=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 30/15=2 Current State: 34:[36, 2], Operations: ['89-74=15', '30/15=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 82, 33, 36, 69 ]
82
[ "82+33=115", "69-36=33", "115-33=82" ]
Current State: 82:[82, 33, 36, 69], Operations: [] Exploring Operation: 82+33=115, Resulting Numbers: [36, 69, 115] Generated Node #2: [36, 69, 115] from Operation: 82+33=115 Current State: 82:[36, 69, 115], Operations: ['82+33=115'] Exploring Operation: 69-36=33, Resulting Numbers: [115, 33] Generated Node #3: [115, 33] from Operation: 69-36=33 Current State: 82:[115, 33], Operations: ['82+33=115', '69-36=33'] Exploring Operation: 115-33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 74, 36, 83, 40 ]
67
[ "74+36=110", "83-40=43", "110-43=67" ]
Current State: 67:[74, 36, 83, 40], Operations: [] Exploring Operation: 74+36=110, Resulting Numbers: [83, 40, 110] Generated Node #2: [83, 40, 110] from Operation: 74+36=110 Current State: 67:[83, 40, 110], Operations: ['74+36=110'] Exploring Operation: 83-40=43, Resulting Numbers: [110, 43] Generated Node #3: [110, 43] from Operation: 83-40=43 Current State: 67:[110, 43], Operations: ['74+36=110', '83-40=43'] Exploring Operation: 110-43=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 22, 14, 91 ]
12
[ "5+91=96", "22-14=8", "96/8=12" ]
Current State: 12:[5, 22, 14, 91], Operations: [] Exploring Operation: 5+91=96, Resulting Numbers: [22, 14, 96] Generated Node #2: [22, 14, 96] from Operation: 5+91=96 Current State: 12:[22, 14, 96], Operations: ['5+91=96'] Exploring Operation: 22-14=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 22-14=8 Current State: 12:[96, 8], Operations: ['5+91=96', '22-14=8'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 55, 55, 19 ]
92
[ "55-55=0", "19*0=0", "92+0=92" ]
Current State: 92:[92, 55, 55, 19], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [92, 19, 0] Generated Node #2: [92, 19, 0] from Operation: 55-55=0 Current State: 92:[92, 19, 0], Operations: ['55-55=0'] Exploring Operation: 19*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 19*0=0 Current State: 92:[92, 0], Operations: ['55-55=0', '19*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 15, 8, 64 ]
25
[ "48-15=33", "64/8=8", "33-8=25" ]
Current State: 25:[48, 15, 8, 64], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [8, 64, 33] Generated Node #2: [8, 64, 33] from Operation: 48-15=33 Current State: 25:[8, 64, 33], Operations: ['48-15=33'] Exploring Operation: 64/8=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 64/8=8 Current State: 25:[33, 8], Operations: ['48-15=33', '64/8=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 21, 3, 54 ]
39
[ "42+21=63", "54+63=117", "117/3=39" ]
Current State: 39:[42, 21, 3, 54], Operations: [] Exploring Operation: 42+21=63, Resulting Numbers: [3, 54, 63] Generated Node #2: [3, 54, 63] from Operation: 42+21=63 Current State: 39:[3, 54, 63], Operations: ['42+21=63'] Exploring Operation: 54+63=117, Resulting Numbers: [3, 117] Generated Node #3: [3, 117] from Operation: 54+63=117 Current State: 39:[3, 117], Operations: ['42+21=63', '54+63=117'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 98, 12, 36 ]
51
[ "55+98=153", "36/12=3", "153/3=51" ]
Current State: 51:[55, 98, 12, 36], Operations: [] Exploring Operation: 55+98=153, Resulting Numbers: [12, 36, 153] Generated Node #2: [12, 36, 153] from Operation: 55+98=153 Current State: 51:[12, 36, 153], Operations: ['55+98=153'] Exploring Operation: 36/12=3, Resulting Numbers: [153, 3] Generated Node #3: [153, 3] from Operation: 36/12=3 Current State: 51:[153, 3], Operations: ['55+98=153', '36/12=3'] Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 87, 3, 14, 31 ]
74
[ "87/3=29", "14+31=45", "29+45=74" ]
Current State: 74:[87, 3, 14, 31], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [14, 31, 29] Generated Node #2: [14, 31, 29] from Operation: 87/3=29 Current State: 74:[14, 31, 29], Operations: ['87/3=29'] Exploring Operation: 14+31=45, Resulting Numbers: [29, 45] Generated Node #3: [29, 45] from Operation: 14+31=45 Current State: 74:[29, 45], Operations: ['87/3=29', '14+31=45'] Exploring Operation: 29+45=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 82, 24, 48 ]
97
[ "82*24=1968", "1968/48=41", "56+41=97" ]
Current State: 97:[56, 82, 24, 48], Operations: [] Exploring Operation: 82*24=1968, Resulting Numbers: [56, 48, 1968] Generated Node #2: [56, 48, 1968] from Operation: 82*24=1968 Current State: 97:[56, 48, 1968], Operations: ['82*24=1968'] Exploring Operation: 1968/48=41, Resulting Numbers: [56, 41] Generated Node #3: [56, 41] from Operation: 1968/48=41 Current State: 97:[56, 41], Operations: ['82*24=1968', '1968/48=41'] Exploring Operation: 56+41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 98, 78, 10 ]
52
[ "22+98=120", "78-10=68", "120-68=52" ]
Current State: 52:[22, 98, 78, 10], Operations: [] Exploring Operation: 22+98=120, Resulting Numbers: [78, 10, 120] Generated Node #2: [78, 10, 120] from Operation: 22+98=120 Current State: 52:[78, 10, 120], Operations: ['22+98=120'] Exploring Operation: 78-10=68, Resulting Numbers: [120, 68] Generated Node #3: [120, 68] from Operation: 78-10=68 Current State: 52:[120, 68], Operations: ['22+98=120', '78-10=68'] Exploring Operation: 120-68=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 48, 44, 72 ]
44
[ "72-61=11", "48-44=4", "11*4=44" ]
Current State: 44:[61, 48, 44, 72], Operations: [] Exploring Operation: 72-61=11, Resulting Numbers: [48, 44, 11] Generated Node #2: [48, 44, 11] from Operation: 72-61=11 Current State: 44:[48, 44, 11], Operations: ['72-61=11'] Exploring Operation: 48-44=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 48-44=4 Current State: 44:[11, 4], Operations: ['72-61=11', '48-44=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 34, 37, 19, 21 ]
31
[ "34+37=71", "19+21=40", "71-40=31" ]
Current State: 31:[34, 37, 19, 21], Operations: [] Exploring Operation: 34+37=71, Resulting Numbers: [19, 21, 71] Generated Node #2: [19, 21, 71] from Operation: 34+37=71 Current State: 31:[19, 21, 71], Operations: ['34+37=71'] Exploring Operation: 19+21=40, Resulting Numbers: [71, 40] Generated Node #3: [71, 40] from Operation: 19+21=40 Current State: 31:[71, 40], Operations: ['34+37=71', '19+21=40'] Exploring Operation: 71-40=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 67, 94, 38 ]
93
[ "67-29=38", "38/38=1", "94-1=93" ]
Current State: 93:[29, 67, 94, 38], Operations: [] Exploring Operation: 67-29=38, Resulting Numbers: [94, 38, 38] Generated Node #2: [94, 38, 38] from Operation: 67-29=38 Current State: 93:[94, 38, 38], Operations: ['67-29=38'] Exploring Operation: 38/38=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 38/38=1 Current State: 93:[94, 1], Operations: ['67-29=38', '38/38=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 71, 30, 78 ]
91
[ "88-71=17", "30+78=108", "108-17=91" ]
Current State: 91:[88, 71, 30, 78], Operations: [] Exploring Operation: 88-71=17, Resulting Numbers: [30, 78, 17] Generated Node #2: [30, 78, 17] from Operation: 88-71=17 Current State: 91:[30, 78, 17], Operations: ['88-71=17'] Exploring Operation: 30+78=108, Resulting Numbers: [17, 108] Generated Node #3: [17, 108] from Operation: 30+78=108 Current State: 91:[17, 108], Operations: ['88-71=17', '30+78=108'] Exploring Operation: 108-17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 63, 8, 75 ]
64
[ "63+8=71", "75-71=4", "16*4=64" ]
Current State: 64:[16, 63, 8, 75], Operations: [] Exploring Operation: 63+8=71, Resulting Numbers: [16, 75, 71] Generated Node #2: [16, 75, 71] from Operation: 63+8=71 Current State: 64:[16, 75, 71], Operations: ['63+8=71'] Exploring Operation: 75-71=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 75-71=4 Current State: 64:[16, 4], Operations: ['63+8=71', '75-71=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 11, 18, 73, 5 ]
10
[ "73-18=55", "55/11=5", "5+5=10" ]
Current State: 10:[11, 18, 73, 5], Operations: [] Exploring Operation: 73-18=55, Resulting Numbers: [11, 5, 55] Generated Node #2: [11, 5, 55] from Operation: 73-18=55 Current State: 10:[11, 5, 55], Operations: ['73-18=55'] Exploring Operation: 55/11=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 55/11=5 Current State: 10:[5, 5], Operations: ['73-18=55', '55/11=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 84, 79, 35 ]
62
[ "79-35=44", "44/2=22", "84-22=62" ]
Current State: 62:[2, 84, 79, 35], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [2, 84, 44] Generated Node #2: [2, 84, 44] from Operation: 79-35=44 Current State: 62:[2, 84, 44], Operations: ['79-35=44'] Exploring Operation: 44/2=22, Resulting Numbers: [84, 22] Generated Node #3: [84, 22] from Operation: 44/2=22 Current State: 62:[84, 22], Operations: ['79-35=44', '44/2=22'] Exploring Operation: 84-22=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 10, 58, 35, 77 ]
64
[ "58-10=48", "35+77=112", "112-48=64" ]
Current State: 64:[10, 58, 35, 77], Operations: [] Exploring Operation: 58-10=48, Resulting Numbers: [35, 77, 48] Generated Node #2: [35, 77, 48] from Operation: 58-10=48 Current State: 64:[35, 77, 48], Operations: ['58-10=48'] Exploring Operation: 35+77=112, Resulting Numbers: [48, 112] Generated Node #3: [48, 112] from Operation: 35+77=112 Current State: 64:[48, 112], Operations: ['58-10=48', '35+77=112'] Exploring Operation: 112-48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 78, 30, 60, 37 ]
43
[ "78-37=41", "60/30=2", "41+2=43" ]
Current State: 43:[78, 30, 60, 37], Operations: [] Exploring Operation: 78-37=41, Resulting Numbers: [30, 60, 41] Generated Node #2: [30, 60, 41] from Operation: 78-37=41 Current State: 43:[30, 60, 41], Operations: ['78-37=41'] Exploring Operation: 60/30=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 60/30=2 Current State: 43:[41, 2], Operations: ['78-37=41', '60/30=2'] Exploring Operation: 41+2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 33, 72, 22 ]
96
[ "35-33=2", "72+22=94", "2+94=96" ]
Current State: 96:[35, 33, 72, 22], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [72, 22, 2] Generated Node #2: [72, 22, 2] from Operation: 35-33=2 Current State: 96:[72, 22, 2], Operations: ['35-33=2'] Exploring Operation: 72+22=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 72+22=94 Current State: 96:[2, 94], Operations: ['35-33=2', '72+22=94'] Exploring Operation: 2+94=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 4, 63, 15 ]
39
[ "15-9=6", "4*6=24", "63-24=39" ]
Current State: 39:[9, 4, 63, 15], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [4, 63, 6] Generated Node #2: [4, 63, 6] from Operation: 15-9=6 Current State: 39:[4, 63, 6], Operations: ['15-9=6'] Exploring Operation: 4*6=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 4*6=24 Current State: 39:[63, 24], Operations: ['15-9=6', '4*6=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 59, 2, 14, 54 ]
63
[ "59-14=45", "2*54=108", "108-45=63" ]
Current State: 63:[59, 2, 14, 54], Operations: [] Exploring Operation: 59-14=45, Resulting Numbers: [2, 54, 45] Generated Node #2: [2, 54, 45] from Operation: 59-14=45 Current State: 63:[2, 54, 45], Operations: ['59-14=45'] Exploring Operation: 2*54=108, Resulting Numbers: [45, 108] Generated Node #3: [45, 108] from Operation: 2*54=108 Current State: 63:[45, 108], Operations: ['59-14=45', '2*54=108'] Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 51, 54, 2, 34 ]
37
[ "51+54=105", "2*34=68", "105-68=37" ]
Current State: 37:[51, 54, 2, 34], Operations: [] Exploring Operation: 51+54=105, Resulting Numbers: [2, 34, 105] Generated Node #2: [2, 34, 105] from Operation: 51+54=105 Current State: 37:[2, 34, 105], Operations: ['51+54=105'] Exploring Operation: 2*34=68, Resulting Numbers: [105, 68] Generated Node #3: [105, 68] from Operation: 2*34=68 Current State: 37:[105, 68], Operations: ['51+54=105', '2*34=68'] Exploring Operation: 105-68=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 2, 5, 78 ]
98
[ "17-2=15", "5+78=83", "15+83=98" ]
Current State: 98:[17, 2, 5, 78], Operations: [] Exploring Operation: 17-2=15, Resulting Numbers: [5, 78, 15] Generated Node #2: [5, 78, 15] from Operation: 17-2=15 Current State: 98:[5, 78, 15], Operations: ['17-2=15'] Exploring Operation: 5+78=83, Resulting Numbers: [15, 83] Generated Node #3: [15, 83] from Operation: 5+78=83 Current State: 98:[15, 83], Operations: ['17-2=15', '5+78=83'] Exploring Operation: 15+83=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 80, 98, 89, 69 ]
38
[ "98-80=18", "89-69=20", "18+20=38" ]
Current State: 38:[80, 98, 89, 69], Operations: [] Exploring Operation: 98-80=18, Resulting Numbers: [89, 69, 18] Generated Node #2: [89, 69, 18] from Operation: 98-80=18 Current State: 38:[89, 69, 18], Operations: ['98-80=18'] Exploring Operation: 89-69=20, Resulting Numbers: [18, 20] Generated Node #3: [18, 20] from Operation: 89-69=20 Current State: 38:[18, 20], Operations: ['98-80=18', '89-69=20'] Exploring Operation: 18+20=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 66, 62, 54, 24 ]
74
[ "66-62=4", "54+24=78", "78-4=74" ]
Current State: 74:[66, 62, 54, 24], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [54, 24, 4] Generated Node #2: [54, 24, 4] from Operation: 66-62=4 Current State: 74:[54, 24, 4], Operations: ['66-62=4'] Exploring Operation: 54+24=78, Resulting Numbers: [4, 78] Generated Node #3: [4, 78] from Operation: 54+24=78 Current State: 74:[4, 78], Operations: ['66-62=4', '54+24=78'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 30, 52, 12 ]
54
[ "30-6=24", "24/12=2", "52+2=54" ]
Current State: 54:[6, 30, 52, 12], Operations: [] Exploring Operation: 30-6=24, Resulting Numbers: [52, 12, 24] Generated Node #2: [52, 12, 24] from Operation: 30-6=24 Current State: 54:[52, 12, 24], Operations: ['30-6=24'] Exploring Operation: 24/12=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 24/12=2 Current State: 54:[52, 2], Operations: ['30-6=24', '24/12=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 2, 21, 78 ]
43
[ "61+21=82", "78/2=39", "82-39=43" ]
Current State: 43:[61, 2, 21, 78], Operations: [] Exploring Operation: 61+21=82, Resulting Numbers: [2, 78, 82] Generated Node #2: [2, 78, 82] from Operation: 61+21=82 Current State: 43:[2, 78, 82], Operations: ['61+21=82'] Exploring Operation: 78/2=39, Resulting Numbers: [82, 39] Generated Node #3: [82, 39] from Operation: 78/2=39 Current State: 43:[82, 39], Operations: ['61+21=82', '78/2=39'] Exploring Operation: 82-39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 11, 3, 4, 9 ]
24
[ "11*9=99", "99-3=96", "96/4=24" ]
Current State: 24:[11, 3, 4, 9], Operations: [] Exploring Operation: 11*9=99, Resulting Numbers: [3, 4, 99] Generated Node #2: [3, 4, 99] from Operation: 11*9=99 Current State: 24:[3, 4, 99], Operations: ['11*9=99'] Exploring Operation: 99-3=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 99-3=96 Current State: 24:[4, 96], Operations: ['11*9=99', '99-3=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 74, 26, 39, 61 ]
41
[ "74-61=13", "26/13=2", "39+2=41" ]
Current State: 41:[74, 26, 39, 61], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [26, 39, 13] Generated Node #2: [26, 39, 13] from Operation: 74-61=13 Current State: 41:[26, 39, 13], Operations: ['74-61=13'] Exploring Operation: 26/13=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 26/13=2 Current State: 41:[39, 2], Operations: ['74-61=13', '26/13=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 35, 8, 20, 80 ]
10
[ "35*8=280", "280-80=200", "200/20=10" ]
Current State: 10:[35, 8, 20, 80], Operations: [] Exploring Operation: 35*8=280, Resulting Numbers: [20, 80, 280] Generated Node #2: [20, 80, 280] from Operation: 35*8=280 Current State: 10:[20, 80, 280], Operations: ['35*8=280'] Exploring Operation: 280-80=200, Resulting Numbers: [20, 200] Generated Node #3: [20, 200] from Operation: 280-80=200 Current State: 10:[20, 200], Operations: ['35*8=280', '280-80=200'] Exploring Operation: 200/20=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 36, 83, 62, 84 ]
40
[ "83-62=21", "84/21=4", "36+4=40" ]
Current State: 40:[36, 83, 62, 84], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [36, 84, 21] Generated Node #2: [36, 84, 21] from Operation: 83-62=21 Current State: 40:[36, 84, 21], Operations: ['83-62=21'] Exploring Operation: 84/21=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 84/21=4 Current State: 40:[36, 4], Operations: ['83-62=21', '84/21=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 44, 99, 46, 56 ]
41
[ "44+99=143", "46+56=102", "143-102=41" ]
Current State: 41:[44, 99, 46, 56], Operations: [] Exploring Operation: 44+99=143, Resulting Numbers: [46, 56, 143] Generated Node #2: [46, 56, 143] from Operation: 44+99=143 Current State: 41:[46, 56, 143], Operations: ['44+99=143'] Exploring Operation: 46+56=102, Resulting Numbers: [143, 102] Generated Node #3: [143, 102] from Operation: 46+56=102 Current State: 41:[143, 102], Operations: ['44+99=143', '46+56=102'] Exploring Operation: 143-102=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 51, 43, 14, 62 ]
40
[ "51-43=8", "62-14=48", "48-8=40" ]
Current State: 40:[51, 43, 14, 62], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [14, 62, 8] Generated Node #2: [14, 62, 8] from Operation: 51-43=8 Current State: 40:[14, 62, 8], Operations: ['51-43=8'] Exploring Operation: 62-14=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 62-14=48 Current State: 40:[8, 48], Operations: ['51-43=8', '62-14=48'] Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 66, 8, 62 ]
28
[ "15-8=7", "66-62=4", "7*4=28" ]
Current State: 28:[15, 66, 8, 62], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [66, 62, 7] Generated Node #2: [66, 62, 7] from Operation: 15-8=7 Current State: 28:[66, 62, 7], Operations: ['15-8=7'] Exploring Operation: 66-62=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 66-62=4 Current State: 28:[7, 4], Operations: ['15-8=7', '66-62=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 55, 18, 16, 7 ]
31
[ "55+7=62", "18-16=2", "62/2=31" ]
Current State: 31:[55, 18, 16, 7], Operations: [] Exploring Operation: 55+7=62, Resulting Numbers: [18, 16, 62] Generated Node #2: [18, 16, 62] from Operation: 55+7=62 Current State: 31:[18, 16, 62], Operations: ['55+7=62'] Exploring Operation: 18-16=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 18-16=2 Current State: 31:[62, 2], Operations: ['55+7=62', '18-16=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 34, 21, 39 ]
32
[ "62-34=28", "21+39=60", "60-28=32" ]
Current State: 32:[62, 34, 21, 39], Operations: [] Exploring Operation: 62-34=28, Resulting Numbers: [21, 39, 28] Generated Node #2: [21, 39, 28] from Operation: 62-34=28 Current State: 32:[21, 39, 28], Operations: ['62-34=28'] Exploring Operation: 21+39=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 21+39=60 Current State: 32:[28, 60], Operations: ['62-34=28', '21+39=60'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 74, 73, 44, 22 ]
65
[ "74-73=1", "44+22=66", "66-1=65" ]
Current State: 65:[74, 73, 44, 22], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [44, 22, 1] Generated Node #2: [44, 22, 1] from Operation: 74-73=1 Current State: 65:[44, 22, 1], Operations: ['74-73=1'] Exploring Operation: 44+22=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 44+22=66 Current State: 65:[1, 66], Operations: ['74-73=1', '44+22=66'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 29, 7, 18 ]
55
[ "23*18=414", "414-29=385", "385/7=55" ]
Current State: 55:[23, 29, 7, 18], Operations: [] Exploring Operation: 23*18=414, Resulting Numbers: [29, 7, 414] Generated Node #2: [29, 7, 414] from Operation: 23*18=414 Current State: 55:[29, 7, 414], Operations: ['23*18=414'] Exploring Operation: 414-29=385, Resulting Numbers: [7, 385] Generated Node #3: [7, 385] from Operation: 414-29=385 Current State: 55:[7, 385], Operations: ['23*18=414', '414-29=385'] Exploring Operation: 385/7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 25, 10, 86, 66 ]
98
[ "25*10=250", "86+66=152", "250-152=98" ]
Current State: 98:[25, 10, 86, 66], Operations: [] Exploring Operation: 25*10=250, Resulting Numbers: [86, 66, 250] Generated Node #2: [86, 66, 250] from Operation: 25*10=250 Current State: 98:[86, 66, 250], Operations: ['25*10=250'] Exploring Operation: 86+66=152, Resulting Numbers: [250, 152] Generated Node #3: [250, 152] from Operation: 86+66=152 Current State: 98:[250, 152], Operations: ['25*10=250', '86+66=152'] Exploring Operation: 250-152=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 61, 38, 32, 14 ]
41
[ "61-38=23", "32-14=18", "23+18=41" ]
Current State: 41:[61, 38, 32, 14], Operations: [] Exploring Operation: 61-38=23, Resulting Numbers: [32, 14, 23] Generated Node #2: [32, 14, 23] from Operation: 61-38=23 Current State: 41:[32, 14, 23], Operations: ['61-38=23'] Exploring Operation: 32-14=18, Resulting Numbers: [23, 18] Generated Node #3: [23, 18] from Operation: 32-14=18 Current State: 41:[23, 18], Operations: ['61-38=23', '32-14=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 73, 62, 32 ]
71
[ "62+32=94", "94/47=2", "73-2=71" ]
Current State: 71:[47, 73, 62, 32], Operations: [] Exploring Operation: 62+32=94, Resulting Numbers: [47, 73, 94] Generated Node #2: [47, 73, 94] from Operation: 62+32=94 Current State: 71:[47, 73, 94], Operations: ['62+32=94'] Exploring Operation: 94/47=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 94/47=2 Current State: 71:[73, 2], Operations: ['62+32=94', '94/47=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 90, 57, 55, 66 ]
65
[ "66-57=9", "90/9=10", "55+10=65" ]
Current State: 65:[90, 57, 55, 66], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [90, 55, 9] Generated Node #2: [90, 55, 9] from Operation: 66-57=9 Current State: 65:[90, 55, 9], Operations: ['66-57=9'] Exploring Operation: 90/9=10, Resulting Numbers: [55, 10] Generated Node #3: [55, 10] from Operation: 90/9=10 Current State: 65:[55, 10], Operations: ['66-57=9', '90/9=10'] Exploring Operation: 55+10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 9, 14, 90 ]
59
[ "54-9=45", "14+90=104", "104-45=59" ]
Current State: 59:[54, 9, 14, 90], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [14, 90, 45] Generated Node #2: [14, 90, 45] from Operation: 54-9=45 Current State: 59:[14, 90, 45], Operations: ['54-9=45'] Exploring Operation: 14+90=104, Resulting Numbers: [45, 104] Generated Node #3: [45, 104] from Operation: 14+90=104 Current State: 59:[45, 104], Operations: ['54-9=45', '14+90=104'] Exploring Operation: 104-45=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 48, 82, 28 ]
70
[ "48/3=16", "82-28=54", "16+54=70" ]
Current State: 70:[3, 48, 82, 28], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [82, 28, 16] Generated Node #2: [82, 28, 16] from Operation: 48/3=16 Current State: 70:[82, 28, 16], Operations: ['48/3=16'] Exploring Operation: 82-28=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 82-28=54 Current State: 70:[16, 54], Operations: ['48/3=16', '82-28=54'] Exploring Operation: 16+54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 82, 65, 24, 80 ]
78
[ "65-24=41", "82/41=2", "80-2=78" ]
Current State: 78:[82, 65, 24, 80], Operations: [] Exploring Operation: 65-24=41, Resulting Numbers: [82, 80, 41] Generated Node #2: [82, 80, 41] from Operation: 65-24=41 Current State: 78:[82, 80, 41], Operations: ['65-24=41'] Exploring Operation: 82/41=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 82/41=2 Current State: 78:[80, 2], Operations: ['65-24=41', '82/41=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 35, 48, 44, 59 ]
39
[ "59-48=11", "44/11=4", "35+4=39" ]
Current State: 39:[35, 48, 44, 59], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [35, 44, 11] Generated Node #2: [35, 44, 11] from Operation: 59-48=11 Current State: 39:[35, 44, 11], Operations: ['59-48=11'] Exploring Operation: 44/11=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 44/11=4 Current State: 39:[35, 4], Operations: ['59-48=11', '44/11=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 70, 51, 8, 32 ]
76
[ "70-51=19", "32/8=4", "19*4=76" ]
Current State: 76:[70, 51, 8, 32], Operations: [] Exploring Operation: 70-51=19, Resulting Numbers: [8, 32, 19] Generated Node #2: [8, 32, 19] from Operation: 70-51=19 Current State: 76:[8, 32, 19], Operations: ['70-51=19'] Exploring Operation: 32/8=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 32/8=4 Current State: 76:[19, 4], Operations: ['70-51=19', '32/8=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 64, 22, 33, 78 ]
69
[ "64-22=42", "33+78=111", "111-42=69" ]
Current State: 69:[64, 22, 33, 78], Operations: [] Exploring Operation: 64-22=42, Resulting Numbers: [33, 78, 42] Generated Node #2: [33, 78, 42] from Operation: 64-22=42 Current State: 69:[33, 78, 42], Operations: ['64-22=42'] Exploring Operation: 33+78=111, Resulting Numbers: [42, 111] Generated Node #3: [42, 111] from Operation: 33+78=111 Current State: 69:[42, 111], Operations: ['64-22=42', '33+78=111'] Exploring Operation: 111-42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 20, 10, 71, 15 ]
56
[ "20+10=30", "71+15=86", "86-30=56" ]
Current State: 56:[20, 10, 71, 15], Operations: [] Exploring Operation: 20+10=30, Resulting Numbers: [71, 15, 30] Generated Node #2: [71, 15, 30] from Operation: 20+10=30 Current State: 56:[71, 15, 30], Operations: ['20+10=30'] Exploring Operation: 71+15=86, Resulting Numbers: [30, 86] Generated Node #3: [30, 86] from Operation: 71+15=86 Current State: 56:[30, 86], Operations: ['20+10=30', '71+15=86'] Exploring Operation: 86-30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 93, 9, 25, 86 ]
23
[ "93-9=84", "86-25=61", "84-61=23" ]
Current State: 23:[93, 9, 25, 86], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [25, 86, 84] Generated Node #2: [25, 86, 84] from Operation: 93-9=84 Current State: 23:[25, 86, 84], Operations: ['93-9=84'] Exploring Operation: 86-25=61, Resulting Numbers: [84, 61] Generated Node #3: [84, 61] from Operation: 86-25=61 Current State: 23:[84, 61], Operations: ['93-9=84', '86-25=61'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 35, 85, 40, 91 ]
19
[ "40*91=3640", "3640/35=104", "104-85=19" ]
Current State: 19:[35, 85, 40, 91], Operations: [] Exploring Operation: 40*91=3640, Resulting Numbers: [35, 85, 3640] Generated Node #2: [35, 85, 3640] from Operation: 40*91=3640 Current State: 19:[35, 85, 3640], Operations: ['40*91=3640'] Exploring Operation: 3640/35=104, Resulting Numbers: [85, 104] Generated Node #3: [85, 104] from Operation: 3640/35=104 Current State: 19:[85, 104], Operations: ['40*91=3640', '3640/35=104'] Exploring Operation: 104-85=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 72, 18, 18 ]
20
[ "10*72=720", "18+18=36", "720/36=20" ]
Current State: 20:[10, 72, 18, 18], Operations: [] Exploring Operation: 10*72=720, Resulting Numbers: [18, 18, 720] Generated Node #2: [18, 18, 720] from Operation: 10*72=720 Current State: 20:[18, 18, 720], Operations: ['10*72=720'] Exploring Operation: 18+18=36, Resulting Numbers: [720, 36] Generated Node #3: [720, 36] from Operation: 18+18=36 Current State: 20:[720, 36], Operations: ['10*72=720', '18+18=36'] Exploring Operation: 720/36=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 14, 37, 22, 54 ]
66
[ "14+37=51", "54-51=3", "22*3=66" ]
Current State: 66:[14, 37, 22, 54], Operations: [] Exploring Operation: 14+37=51, Resulting Numbers: [22, 54, 51] Generated Node #2: [22, 54, 51] from Operation: 14+37=51 Current State: 66:[22, 54, 51], Operations: ['14+37=51'] Exploring Operation: 54-51=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 54-51=3 Current State: 66:[22, 3], Operations: ['14+37=51', '54-51=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 11, 15, 11, 67 ]
15
[ "11-11=0", "67*0=0", "15+0=15" ]
Current State: 15:[11, 15, 11, 67], Operations: [] Exploring Operation: 11-11=0, Resulting Numbers: [15, 67, 0] Generated Node #2: [15, 67, 0] from Operation: 11-11=0 Current State: 15:[15, 67, 0], Operations: ['11-11=0'] Exploring Operation: 67*0=0, Resulting Numbers: [15, 0] Generated Node #3: [15, 0] from Operation: 67*0=0 Current State: 15:[15, 0], Operations: ['11-11=0', '67*0=0'] Exploring Operation: 15+0=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 10, 5, 65 ]
11
[ "77*10=770", "5+65=70", "770/70=11" ]
Current State: 11:[77, 10, 5, 65], Operations: [] Exploring Operation: 77*10=770, Resulting Numbers: [5, 65, 770] Generated Node #2: [5, 65, 770] from Operation: 77*10=770 Current State: 11:[5, 65, 770], Operations: ['77*10=770'] Exploring Operation: 5+65=70, Resulting Numbers: [770, 70] Generated Node #3: [770, 70] from Operation: 5+65=70 Current State: 11:[770, 70], Operations: ['77*10=770', '5+65=70'] Exploring Operation: 770/70=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 12, 37, 55 ]
11
[ "55-51=4", "12*4=48", "48-37=11" ]
Current State: 11:[51, 12, 37, 55], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [12, 37, 4] Generated Node #2: [12, 37, 4] from Operation: 55-51=4 Current State: 11:[12, 37, 4], Operations: ['55-51=4'] Exploring Operation: 12*4=48, Resulting Numbers: [37, 48] Generated Node #3: [37, 48] from Operation: 12*4=48 Current State: 11:[37, 48], Operations: ['55-51=4', '12*4=48'] Exploring Operation: 48-37=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 67, 39, 66, 12 ]
26
[ "67-39=28", "66-12=54", "54-28=26" ]
Current State: 26:[67, 39, 66, 12], Operations: [] Exploring Operation: 67-39=28, Resulting Numbers: [66, 12, 28] Generated Node #2: [66, 12, 28] from Operation: 67-39=28 Current State: 26:[66, 12, 28], Operations: ['67-39=28'] Exploring Operation: 66-12=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 66-12=54 Current State: 26:[28, 54], Operations: ['67-39=28', '66-12=54'] Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4