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
[ 19, 27, 20, 2 ]
33
[ "19+27=46", "20+46=66", "66/2=33" ]
Current State: 33:[19, 27, 20, 2], Operations: [] Exploring Operation: 19+27=46, Resulting Numbers: [20, 2, 46] Generated Node #2: [20, 2, 46] from Operation: 19+27=46 Current State: 33:[20, 2, 46], Operations: ['19+27=46'] Exploring Operation: 20+46=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 20+46=66 Current State: 33:[2, 66], Operations: ['19+27=46', '20+46=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 98, 92, 13, 79 ]
98
[ "98+92=190", "13+79=92", "190-92=98" ]
Current State: 98:[98, 92, 13, 79], Operations: [] Exploring Operation: 98+92=190, Resulting Numbers: [13, 79, 190] Generated Node #2: [13, 79, 190] from Operation: 98+92=190 Current State: 98:[13, 79, 190], Operations: ['98+92=190'] Exploring Operation: 13+79=92, Resulting Numbers: [190, 92] Generated Node #3: [190, 92] from Operation: 13+79=92 Current State: 98:[190, 92], Operations: ['98+92=190', '13+79=92'] Exploring Operation: 190-92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 90, 75, 87 ]
82
[ "4+90=94", "87-75=12", "94-12=82" ]
Current State: 82:[4, 90, 75, 87], Operations: [] Exploring Operation: 4+90=94, Resulting Numbers: [75, 87, 94] Generated Node #2: [75, 87, 94] from Operation: 4+90=94 Current State: 82:[75, 87, 94], Operations: ['4+90=94'] Exploring Operation: 87-75=12, Resulting Numbers: [94, 12] Generated Node #3: [94, 12] from Operation: 87-75=12 Current State: 82:[94, 12], Operations: ['4+90=94', '87-75=12'] Exploring Operation: 94-12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 98, 77, 14 ]
88
[ "81+98=179", "77+14=91", "179-91=88" ]
Current State: 88:[81, 98, 77, 14], Operations: [] Exploring Operation: 81+98=179, Resulting Numbers: [77, 14, 179] Generated Node #2: [77, 14, 179] from Operation: 81+98=179 Current State: 88:[77, 14, 179], Operations: ['81+98=179'] Exploring Operation: 77+14=91, Resulting Numbers: [179, 91] Generated Node #3: [179, 91] from Operation: 77+14=91 Current State: 88:[179, 91], Operations: ['81+98=179', '77+14=91'] Exploring Operation: 179-91=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 88, 67, 90, 48 ]
29
[ "90-88=2", "48*2=96", "96-67=29" ]
Current State: 29:[88, 67, 90, 48], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [67, 48, 2] Generated Node #2: [67, 48, 2] from Operation: 90-88=2 Current State: 29:[67, 48, 2], Operations: ['90-88=2'] Exploring Operation: 48*2=96, Resulting Numbers: [67, 96] Generated Node #3: [67, 96] from Operation: 48*2=96 Current State: 29:[67, 96], Operations: ['90-88=2', '48*2=96'] Exploring Operation: 96-67=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 94, 97, 98, 74 ]
92
[ "98-94=4", "97-74=23", "4*23=92" ]
Current State: 92:[94, 97, 98, 74], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [97, 74, 4] Generated Node #2: [97, 74, 4] from Operation: 98-94=4 Current State: 92:[97, 74, 4], Operations: ['98-94=4'] Exploring Operation: 97-74=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 97-74=23 Current State: 92:[4, 23], Operations: ['98-94=4', '97-74=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 62, 4, 33, 98 ]
24
[ "98-62=36", "36/4=9", "33-9=24" ]
Current State: 24:[62, 4, 33, 98], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [4, 33, 36] Generated Node #2: [4, 33, 36] from Operation: 98-62=36 Current State: 24:[4, 33, 36], Operations: ['98-62=36'] Exploring Operation: 36/4=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 36/4=9 Current State: 24:[33, 9], Operations: ['98-62=36', '36/4=9'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 62, 13, 15 ]
94
[ "13-11=2", "62-15=47", "2*47=94" ]
Current State: 94:[11, 62, 13, 15], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [62, 15, 2] Generated Node #2: [62, 15, 2] from Operation: 13-11=2 Current State: 94:[62, 15, 2], Operations: ['13-11=2'] Exploring Operation: 62-15=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 62-15=47 Current State: 94:[2, 47], Operations: ['13-11=2', '62-15=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 48, 16, 26 ]
97
[ "7+48=55", "16+26=42", "55+42=97" ]
Current State: 97:[7, 48, 16, 26], Operations: [] Exploring Operation: 7+48=55, Resulting Numbers: [16, 26, 55] Generated Node #2: [16, 26, 55] from Operation: 7+48=55 Current State: 97:[16, 26, 55], Operations: ['7+48=55'] Exploring Operation: 16+26=42, Resulting Numbers: [55, 42] Generated Node #3: [55, 42] from Operation: 16+26=42 Current State: 97:[55, 42], Operations: ['7+48=55', '16+26=42'] Exploring Operation: 55+42=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 76, 69, 4, 61 ]
44
[ "69-61=8", "4*8=32", "76-32=44" ]
Current State: 44:[76, 69, 4, 61], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [76, 4, 8] Generated Node #2: [76, 4, 8] from Operation: 69-61=8 Current State: 44:[76, 4, 8], Operations: ['69-61=8'] Exploring Operation: 4*8=32, Resulting Numbers: [76, 32] Generated Node #3: [76, 32] from Operation: 4*8=32 Current State: 44:[76, 32], Operations: ['69-61=8', '4*8=32'] Exploring Operation: 76-32=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 67, 78, 10 ]
86
[ "78-67=11", "10*11=110", "110-24=86" ]
Current State: 86:[24, 67, 78, 10], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [24, 10, 11] Generated Node #2: [24, 10, 11] from Operation: 78-67=11 Current State: 86:[24, 10, 11], Operations: ['78-67=11'] Exploring Operation: 10*11=110, Resulting Numbers: [24, 110] Generated Node #3: [24, 110] from Operation: 10*11=110 Current State: 86:[24, 110], Operations: ['78-67=11', '10*11=110'] Exploring Operation: 110-24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 56, 64, 77 ]
79
[ "36+56=92", "77-64=13", "92-13=79" ]
Current State: 79:[36, 56, 64, 77], Operations: [] Exploring Operation: 36+56=92, Resulting Numbers: [64, 77, 92] Generated Node #2: [64, 77, 92] from Operation: 36+56=92 Current State: 79:[64, 77, 92], Operations: ['36+56=92'] Exploring Operation: 77-64=13, Resulting Numbers: [92, 13] Generated Node #3: [92, 13] from Operation: 77-64=13 Current State: 79:[92, 13], Operations: ['36+56=92', '77-64=13'] Exploring Operation: 92-13=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 88, 18, 33, 85 ]
87
[ "88-85=3", "18*3=54", "33+54=87" ]
Current State: 87:[88, 18, 33, 85], Operations: [] Exploring Operation: 88-85=3, Resulting Numbers: [18, 33, 3] Generated Node #2: [18, 33, 3] from Operation: 88-85=3 Current State: 87:[18, 33, 3], Operations: ['88-85=3'] Exploring Operation: 18*3=54, Resulting Numbers: [33, 54] Generated Node #3: [33, 54] from Operation: 18*3=54 Current State: 87:[33, 54], Operations: ['88-85=3', '18*3=54'] Exploring Operation: 33+54=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 19, 27, 8, 17 ]
57
[ "19*27=513", "17-8=9", "513/9=57" ]
Current State: 57:[19, 27, 8, 17], Operations: [] Exploring Operation: 19*27=513, Resulting Numbers: [8, 17, 513] Generated Node #2: [8, 17, 513] from Operation: 19*27=513 Current State: 57:[8, 17, 513], Operations: ['19*27=513'] Exploring Operation: 17-8=9, Resulting Numbers: [513, 9] Generated Node #3: [513, 9] from Operation: 17-8=9 Current State: 57:[513, 9], Operations: ['19*27=513', '17-8=9'] Exploring Operation: 513/9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 85, 90, 73, 14 ]
54
[ "90-85=5", "73-14=59", "59-5=54" ]
Current State: 54:[85, 90, 73, 14], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [73, 14, 5] Generated Node #2: [73, 14, 5] from Operation: 90-85=5 Current State: 54:[73, 14, 5], Operations: ['90-85=5'] Exploring Operation: 73-14=59, Resulting Numbers: [5, 59] Generated Node #3: [5, 59] from Operation: 73-14=59 Current State: 54:[5, 59], Operations: ['90-85=5', '73-14=59'] Exploring Operation: 59-5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 43, 17, 21 ]
72
[ "25+43=68", "21-17=4", "68+4=72" ]
Current State: 72:[25, 43, 17, 21], Operations: [] Exploring Operation: 25+43=68, Resulting Numbers: [17, 21, 68] Generated Node #2: [17, 21, 68] from Operation: 25+43=68 Current State: 72:[17, 21, 68], Operations: ['25+43=68'] Exploring Operation: 21-17=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 21-17=4 Current State: 72:[68, 4], Operations: ['25+43=68', '21-17=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 5, 40, 33 ]
10
[ "12+5=17", "40-33=7", "17-7=10" ]
Current State: 10:[12, 5, 40, 33], Operations: [] Exploring Operation: 12+5=17, Resulting Numbers: [40, 33, 17] Generated Node #2: [40, 33, 17] from Operation: 12+5=17 Current State: 10:[40, 33, 17], Operations: ['12+5=17'] Exploring Operation: 40-33=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 40-33=7 Current State: 10:[17, 7], Operations: ['12+5=17', '40-33=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 80, 67, 73 ]
87
[ "67+73=140", "140/20=7", "80+7=87" ]
Current State: 87:[20, 80, 67, 73], Operations: [] Exploring Operation: 67+73=140, Resulting Numbers: [20, 80, 140] Generated Node #2: [20, 80, 140] from Operation: 67+73=140 Current State: 87:[20, 80, 140], Operations: ['67+73=140'] Exploring Operation: 140/20=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 140/20=7 Current State: 87:[80, 7], Operations: ['67+73=140', '140/20=7'] Exploring Operation: 80+7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 14, 8, 54 ]
94
[ "8/4=2", "54*2=108", "108-14=94" ]
Current State: 94:[4, 14, 8, 54], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [14, 54, 2] Generated Node #2: [14, 54, 2] from Operation: 8/4=2 Current State: 94:[14, 54, 2], Operations: ['8/4=2'] Exploring Operation: 54*2=108, Resulting Numbers: [14, 108] Generated Node #3: [14, 108] from Operation: 54*2=108 Current State: 94:[14, 108], Operations: ['8/4=2', '54*2=108'] Exploring Operation: 108-14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 57, 37, 54 ]
60
[ "37-17=20", "57-54=3", "20*3=60" ]
Current State: 60:[17, 57, 37, 54], Operations: [] Exploring Operation: 37-17=20, Resulting Numbers: [57, 54, 20] Generated Node #2: [57, 54, 20] from Operation: 37-17=20 Current State: 60:[57, 54, 20], Operations: ['37-17=20'] Exploring Operation: 57-54=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 57-54=3 Current State: 60:[20, 3], Operations: ['37-17=20', '57-54=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 76, 89, 74, 8 ]
99
[ "76+89=165", "74-8=66", "165-66=99" ]
Current State: 99:[76, 89, 74, 8], Operations: [] Exploring Operation: 76+89=165, Resulting Numbers: [74, 8, 165] Generated Node #2: [74, 8, 165] from Operation: 76+89=165 Current State: 99:[74, 8, 165], Operations: ['76+89=165'] Exploring Operation: 74-8=66, Resulting Numbers: [165, 66] Generated Node #3: [165, 66] from Operation: 74-8=66 Current State: 99:[165, 66], Operations: ['76+89=165', '74-8=66'] Exploring Operation: 165-66=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 10, 15, 25, 95 ]
95
[ "10+15=25", "25+95=120", "120-25=95" ]
Current State: 95:[10, 15, 25, 95], Operations: [] Exploring Operation: 10+15=25, Resulting Numbers: [25, 95, 25] Generated Node #2: [25, 95, 25] from Operation: 10+15=25 Current State: 95:[25, 95, 25], Operations: ['10+15=25'] Exploring Operation: 25+95=120, Resulting Numbers: [120] 120,95 equal: Goal Reached Exploring Operation: 120-25=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 38, 33, 70 ]
51
[ "38+70=108", "108/6=18", "33+18=51" ]
Current State: 51:[6, 38, 33, 70], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [6, 33, 108] Generated Node #2: [6, 33, 108] from Operation: 38+70=108 Current State: 51:[6, 33, 108], Operations: ['38+70=108'] Exploring Operation: 108/6=18, Resulting Numbers: [33, 18] Generated Node #3: [33, 18] from Operation: 108/6=18 Current State: 51:[33, 18], Operations: ['38+70=108', '108/6=18'] Exploring Operation: 33+18=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 22, 26, 12 ]
63
[ "55+22=77", "26-12=14", "77-14=63" ]
Current State: 63:[55, 22, 26, 12], Operations: [] Exploring Operation: 55+22=77, Resulting Numbers: [26, 12, 77] Generated Node #2: [26, 12, 77] from Operation: 55+22=77 Current State: 63:[26, 12, 77], Operations: ['55+22=77'] Exploring Operation: 26-12=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 26-12=14 Current State: 63:[77, 14], Operations: ['55+22=77', '26-12=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 32, 6, 96, 10 ]
20
[ "32*6=192", "192/96=2", "10*2=20" ]
Current State: 20:[32, 6, 96, 10], Operations: [] Exploring Operation: 32*6=192, Resulting Numbers: [96, 10, 192] Generated Node #2: [96, 10, 192] from Operation: 32*6=192 Current State: 20:[96, 10, 192], Operations: ['32*6=192'] Exploring Operation: 192/96=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 192/96=2 Current State: 20:[10, 2], Operations: ['32*6=192', '192/96=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 80, 56, 72 ]
87
[ "80-56=24", "72/24=3", "84+3=87" ]
Current State: 87:[84, 80, 56, 72], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [84, 72, 24] Generated Node #2: [84, 72, 24] from Operation: 80-56=24 Current State: 87:[84, 72, 24], Operations: ['80-56=24'] Exploring Operation: 72/24=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 72/24=3 Current State: 87:[84, 3], Operations: ['80-56=24', '72/24=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 33, 4, 33 ]
68
[ "6+33=39", "33-4=29", "39+29=68" ]
Current State: 68:[6, 33, 4, 33], Operations: [] Exploring Operation: 6+33=39, Resulting Numbers: [4, 39] Generated Node #2: [4, 39] from Operation: 6+33=39 Current State: 68:[4, 39], Operations: ['6+33=39'] Exploring Operation: 33-4=29, Resulting Numbers: [39, 29] Generated Node #3: [39, 29] from Operation: 33-4=29 Current State: 68:[39, 29], Operations: ['6+33=39', '33-4=29'] Exploring Operation: 39+29=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 15, 53, 98, 40 ]
97
[ "53-40=13", "15*13=195", "195-98=97" ]
Current State: 97:[15, 53, 98, 40], Operations: [] Exploring Operation: 53-40=13, Resulting Numbers: [15, 98, 13] Generated Node #2: [15, 98, 13] from Operation: 53-40=13 Current State: 97:[15, 98, 13], Operations: ['53-40=13'] Exploring Operation: 15*13=195, Resulting Numbers: [98, 195] Generated Node #3: [98, 195] from Operation: 15*13=195 Current State: 97:[98, 195], Operations: ['53-40=13', '15*13=195'] Exploring Operation: 195-98=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 93, 54, 55, 89 ]
73
[ "93-54=39", "89-55=34", "39+34=73" ]
Current State: 73:[93, 54, 55, 89], Operations: [] Exploring Operation: 93-54=39, Resulting Numbers: [55, 89, 39] Generated Node #2: [55, 89, 39] from Operation: 93-54=39 Current State: 73:[55, 89, 39], Operations: ['93-54=39'] Exploring Operation: 89-55=34, Resulting Numbers: [39, 34] Generated Node #3: [39, 34] from Operation: 89-55=34 Current State: 73:[39, 34], Operations: ['93-54=39', '89-55=34'] Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 7, 75, 97, 25 ]
87
[ "97-7=90", "75/25=3", "90-3=87" ]
Current State: 87:[7, 75, 97, 25], Operations: [] Exploring Operation: 97-7=90, Resulting Numbers: [75, 25, 90] Generated Node #2: [75, 25, 90] from Operation: 97-7=90 Current State: 87:[75, 25, 90], Operations: ['97-7=90'] Exploring Operation: 75/25=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 75/25=3 Current State: 87:[90, 3], Operations: ['97-7=90', '75/25=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 68, 34, 33, 68 ]
33
[ "68/34=2", "68-33=35", "35-2=33" ]
Current State: 33:[68, 34, 33, 68], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [33, 2] Generated Node #2: [33, 2] from Operation: 68/34=2 Current State: 33:[33, 2], Operations: ['68/34=2'] Exploring Operation: 68-33=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 68-33=35 Current State: 33:[2, 35], Operations: ['68/34=2', '68-33=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 73, 54, 76, 1 ]
19
[ "76-73=3", "54/3=18", "1+18=19" ]
Current State: 19:[73, 54, 76, 1], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [54, 1, 3] Generated Node #2: [54, 1, 3] from Operation: 76-73=3 Current State: 19:[54, 1, 3], Operations: ['76-73=3'] Exploring Operation: 54/3=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 54/3=18 Current State: 19:[1, 18], Operations: ['76-73=3', '54/3=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 40, 76, 39 ]
15
[ "60+40=100", "76+39=115", "115-100=15" ]
Current State: 15:[60, 40, 76, 39], Operations: [] Exploring Operation: 60+40=100, Resulting Numbers: [76, 39, 100] Generated Node #2: [76, 39, 100] from Operation: 60+40=100 Current State: 15:[76, 39, 100], Operations: ['60+40=100'] Exploring Operation: 76+39=115, Resulting Numbers: [100, 115] Generated Node #3: [100, 115] from Operation: 76+39=115 Current State: 15:[100, 115], Operations: ['60+40=100', '76+39=115'] Exploring Operation: 115-100=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 14, 60, 93 ]
60
[ "78+14=92", "93-92=1", "60*1=60" ]
Current State: 60:[78, 14, 60, 93], Operations: [] Exploring Operation: 78+14=92, Resulting Numbers: [60, 93, 92] Generated Node #2: [60, 93, 92] from Operation: 78+14=92 Current State: 60:[60, 93, 92], Operations: ['78+14=92'] Exploring Operation: 93-92=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 93-92=1 Current State: 60:[60, 1], Operations: ['78+14=92', '93-92=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 99, 66, 88, 57 ]
99
[ "99-88=11", "66-57=9", "11*9=99" ]
Current State: 99:[99, 66, 88, 57], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [66, 57, 11] Generated Node #2: [66, 57, 11] from Operation: 99-88=11 Current State: 99:[66, 57, 11], Operations: ['99-88=11'] Exploring Operation: 66-57=9, Resulting Numbers: [11, 9] Generated Node #3: [11, 9] from Operation: 66-57=9 Current State: 99:[11, 9], Operations: ['99-88=11', '66-57=9'] Exploring Operation: 11*9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 84, 56, 35, 92 ]
99
[ "84-56=28", "35+92=127", "127-28=99" ]
Current State: 99:[84, 56, 35, 92], Operations: [] Exploring Operation: 84-56=28, Resulting Numbers: [35, 92, 28] Generated Node #2: [35, 92, 28] from Operation: 84-56=28 Current State: 99:[35, 92, 28], Operations: ['84-56=28'] Exploring Operation: 35+92=127, Resulting Numbers: [28, 127] Generated Node #3: [28, 127] from Operation: 35+92=127 Current State: 99:[28, 127], Operations: ['84-56=28', '35+92=127'] Exploring Operation: 127-28=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 48, 94, 45 ]
54
[ "68+94=162", "48-45=3", "162/3=54" ]
Current State: 54:[68, 48, 94, 45], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [48, 45, 162] Generated Node #2: [48, 45, 162] from Operation: 68+94=162 Current State: 54:[48, 45, 162], Operations: ['68+94=162'] Exploring Operation: 48-45=3, Resulting Numbers: [162, 3] Generated Node #3: [162, 3] from Operation: 48-45=3 Current State: 54:[162, 3], Operations: ['68+94=162', '48-45=3'] Exploring Operation: 162/3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 97, 59, 53, 5 ]
20
[ "97-59=38", "53+5=58", "58-38=20" ]
Current State: 20:[97, 59, 53, 5], Operations: [] Exploring Operation: 97-59=38, Resulting Numbers: [53, 5, 38] Generated Node #2: [53, 5, 38] from Operation: 97-59=38 Current State: 20:[53, 5, 38], Operations: ['97-59=38'] Exploring Operation: 53+5=58, Resulting Numbers: [38, 58] Generated Node #3: [38, 58] from Operation: 53+5=58 Current State: 20:[38, 58], Operations: ['97-59=38', '53+5=58'] Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 16, 84, 2 ]
22
[ "47-16=31", "2*31=62", "84-62=22" ]
Current State: 22:[47, 16, 84, 2], Operations: [] Exploring Operation: 47-16=31, Resulting Numbers: [84, 2, 31] Generated Node #2: [84, 2, 31] from Operation: 47-16=31 Current State: 22:[84, 2, 31], Operations: ['47-16=31'] Exploring Operation: 2*31=62, Resulting Numbers: [84, 62] Generated Node #3: [84, 62] from Operation: 2*31=62 Current State: 22:[84, 62], Operations: ['47-16=31', '2*31=62'] Exploring Operation: 84-62=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 59, 20, 19 ]
69
[ "11+59=70", "20-19=1", "70-1=69" ]
Current State: 69:[11, 59, 20, 19], Operations: [] Exploring Operation: 11+59=70, Resulting Numbers: [20, 19, 70] Generated Node #2: [20, 19, 70] from Operation: 11+59=70 Current State: 69:[20, 19, 70], Operations: ['11+59=70'] Exploring Operation: 20-19=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 20-19=1 Current State: 69:[70, 1], Operations: ['11+59=70', '20-19=1'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 27, 9, 41 ]
22
[ "21*27=567", "567/9=63", "63-41=22" ]
Current State: 22:[21, 27, 9, 41], Operations: [] Exploring Operation: 21*27=567, Resulting Numbers: [9, 41, 567] Generated Node #2: [9, 41, 567] from Operation: 21*27=567 Current State: 22:[9, 41, 567], Operations: ['21*27=567'] Exploring Operation: 567/9=63, Resulting Numbers: [41, 63] Generated Node #3: [41, 63] from Operation: 567/9=63 Current State: 22:[41, 63], Operations: ['21*27=567', '567/9=63'] Exploring Operation: 63-41=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 47, 27, 94 ]
11
[ "27-14=13", "94/47=2", "13-2=11" ]
Current State: 11:[14, 47, 27, 94], Operations: [] Exploring Operation: 27-14=13, Resulting Numbers: [47, 94, 13] Generated Node #2: [47, 94, 13] from Operation: 27-14=13 Current State: 11:[47, 94, 13], Operations: ['27-14=13'] Exploring Operation: 94/47=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 94/47=2 Current State: 11:[13, 2], Operations: ['27-14=13', '94/47=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 17, 48, 59, 23 ]
29
[ "17+48=65", "59-23=36", "65-36=29" ]
Current State: 29:[17, 48, 59, 23], Operations: [] Exploring Operation: 17+48=65, Resulting Numbers: [59, 23, 65] Generated Node #2: [59, 23, 65] from Operation: 17+48=65 Current State: 29:[59, 23, 65], Operations: ['17+48=65'] Exploring Operation: 59-23=36, Resulting Numbers: [65, 36] Generated Node #3: [65, 36] from Operation: 59-23=36 Current State: 29:[65, 36], Operations: ['17+48=65', '59-23=36'] Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 83, 31, 38 ]
65
[ "83+31=114", "114/38=3", "68-3=65" ]
Current State: 65:[68, 83, 31, 38], Operations: [] Exploring Operation: 83+31=114, Resulting Numbers: [68, 38, 114] Generated Node #2: [68, 38, 114] from Operation: 83+31=114 Current State: 65:[68, 38, 114], Operations: ['83+31=114'] Exploring Operation: 114/38=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 114/38=3 Current State: 65:[68, 3], Operations: ['83+31=114', '114/38=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 33, 17, 1 ]
37
[ "33+1=34", "34/17=2", "39-2=37" ]
Current State: 37:[39, 33, 17, 1], Operations: [] Exploring Operation: 33+1=34, Resulting Numbers: [39, 17, 34] Generated Node #2: [39, 17, 34] from Operation: 33+1=34 Current State: 37:[39, 17, 34], Operations: ['33+1=34'] Exploring Operation: 34/17=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 34/17=2 Current State: 37:[39, 2], Operations: ['33+1=34', '34/17=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 53, 75, 13, 1 ]
35
[ "75-53=22", "13*1=13", "22+13=35" ]
Current State: 35:[53, 75, 13, 1], Operations: [] Exploring Operation: 75-53=22, Resulting Numbers: [13, 1, 22] Generated Node #2: [13, 1, 22] from Operation: 75-53=22 Current State: 35:[13, 1, 22], Operations: ['75-53=22'] Exploring Operation: 13*1=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 13*1=13 Current State: 35:[22, 13], Operations: ['75-53=22', '13*1=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 72, 92, 39 ]
80
[ "72+92=164", "164/4=41", "39+41=80" ]
Current State: 80:[4, 72, 92, 39], Operations: [] Exploring Operation: 72+92=164, Resulting Numbers: [4, 39, 164] Generated Node #2: [4, 39, 164] from Operation: 72+92=164 Current State: 80:[4, 39, 164], Operations: ['72+92=164'] Exploring Operation: 164/4=41, Resulting Numbers: [39, 41] Generated Node #3: [39, 41] from Operation: 164/4=41 Current State: 80:[39, 41], Operations: ['72+92=164', '164/4=41'] Exploring Operation: 39+41=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 15, 75, 96 ]
53
[ "96-38=58", "75/15=5", "58-5=53" ]
Current State: 53:[38, 15, 75, 96], Operations: [] Exploring Operation: 96-38=58, Resulting Numbers: [15, 75, 58] Generated Node #2: [15, 75, 58] from Operation: 96-38=58 Current State: 53:[15, 75, 58], Operations: ['96-38=58'] Exploring Operation: 75/15=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 75/15=5 Current State: 53:[58, 5], Operations: ['96-38=58', '75/15=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 8, 10, 27 ]
45
[ "9+27=36", "10*36=360", "360/8=45" ]
Current State: 45:[9, 8, 10, 27], Operations: [] Exploring Operation: 9+27=36, Resulting Numbers: [8, 10, 36] Generated Node #2: [8, 10, 36] from Operation: 9+27=36 Current State: 45:[8, 10, 36], Operations: ['9+27=36'] Exploring Operation: 10*36=360, Resulting Numbers: [8, 360] Generated Node #3: [8, 360] from Operation: 10*36=360 Current State: 45:[8, 360], Operations: ['9+27=36', '10*36=360'] Exploring Operation: 360/8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 14, 3, 19, 65 ]
34
[ "14+19=33", "3*33=99", "99-65=34" ]
Current State: 34:[14, 3, 19, 65], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [3, 65, 33] Generated Node #2: [3, 65, 33] from Operation: 14+19=33 Current State: 34:[3, 65, 33], Operations: ['14+19=33'] Exploring Operation: 3*33=99, Resulting Numbers: [65, 99] Generated Node #3: [65, 99] from Operation: 3*33=99 Current State: 34:[65, 99], Operations: ['14+19=33', '3*33=99'] Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 69, 10, 44 ]
81
[ "69-22=47", "44-10=34", "47+34=81" ]
Current State: 81:[22, 69, 10, 44], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [10, 44, 47] Generated Node #2: [10, 44, 47] from Operation: 69-22=47 Current State: 81:[10, 44, 47], Operations: ['69-22=47'] Exploring Operation: 44-10=34, Resulting Numbers: [47, 34] Generated Node #3: [47, 34] from Operation: 44-10=34 Current State: 81:[47, 34], Operations: ['69-22=47', '44-10=34'] Exploring Operation: 47+34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 12, 38, 57 ]
95
[ "64+12=76", "57-38=19", "76+19=95" ]
Current State: 95:[64, 12, 38, 57], Operations: [] Exploring Operation: 64+12=76, Resulting Numbers: [38, 57, 76] Generated Node #2: [38, 57, 76] from Operation: 64+12=76 Current State: 95:[38, 57, 76], Operations: ['64+12=76'] Exploring Operation: 57-38=19, Resulting Numbers: [76, 19] Generated Node #3: [76, 19] from Operation: 57-38=19 Current State: 95:[76, 19], Operations: ['64+12=76', '57-38=19'] Exploring Operation: 76+19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 7, 64, 32 ]
39
[ "1*7=7", "64-32=32", "7+32=39" ]
Current State: 39:[1, 7, 64, 32], Operations: [] Exploring Operation: 1*7=7, Resulting Numbers: [64, 32, 7] Generated Node #2: [64, 32, 7] from Operation: 1*7=7 Current State: 39:[64, 32, 7], Operations: ['1*7=7'] Exploring Operation: 64-32=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 64-32=32 Current State: 39:[7, 32], Operations: ['1*7=7', '64-32=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 9, 73, 27 ]
18
[ "78-73=5", "9*5=45", "45-27=18" ]
Current State: 18:[78, 9, 73, 27], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [9, 27, 5] Generated Node #2: [9, 27, 5] from Operation: 78-73=5 Current State: 18:[9, 27, 5], Operations: ['78-73=5'] Exploring Operation: 9*5=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 9*5=45 Current State: 18:[27, 45], Operations: ['78-73=5', '9*5=45'] Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 6, 90, 15 ]
22
[ "90-6=84", "84/12=7", "15+7=22" ]
Current State: 22:[12, 6, 90, 15], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [12, 15, 84] Generated Node #2: [12, 15, 84] from Operation: 90-6=84 Current State: 22:[12, 15, 84], Operations: ['90-6=84'] Exploring Operation: 84/12=7, Resulting Numbers: [15, 7] Generated Node #3: [15, 7] from Operation: 84/12=7 Current State: 22:[15, 7], Operations: ['90-6=84', '84/12=7'] Exploring Operation: 15+7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 10, 15, 48 ]
78
[ "10-8=2", "15*2=30", "48+30=78" ]
Current State: 78:[8, 10, 15, 48], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [15, 48, 2] Generated Node #2: [15, 48, 2] from Operation: 10-8=2 Current State: 78:[15, 48, 2], Operations: ['10-8=2'] Exploring Operation: 15*2=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 15*2=30 Current State: 78:[48, 30], Operations: ['10-8=2', '15*2=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 63, 33, 14, 61 ]
40
[ "63-61=2", "14/2=7", "33+7=40" ]
Current State: 40:[63, 33, 14, 61], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [33, 14, 2] Generated Node #2: [33, 14, 2] from Operation: 63-61=2 Current State: 40:[33, 14, 2], Operations: ['63-61=2'] Exploring Operation: 14/2=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 14/2=7 Current State: 40:[33, 7], Operations: ['63-61=2', '14/2=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 92, 25, 27, 68 ]
58
[ "27-25=2", "68/2=34", "92-34=58" ]
Current State: 58:[92, 25, 27, 68], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [92, 68, 2] Generated Node #2: [92, 68, 2] from Operation: 27-25=2 Current State: 58:[92, 68, 2], Operations: ['27-25=2'] Exploring Operation: 68/2=34, Resulting Numbers: [92, 34] Generated Node #3: [92, 34] from Operation: 68/2=34 Current State: 58:[92, 34], Operations: ['27-25=2', '68/2=34'] Exploring Operation: 92-34=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 32, 72, 88 ]
72
[ "2*88=176", "32+72=104", "176-104=72" ]
Current State: 72:[2, 32, 72, 88], Operations: [] Exploring Operation: 2*88=176, Resulting Numbers: [32, 72, 176] Generated Node #2: [32, 72, 176] from Operation: 2*88=176 Current State: 72:[32, 72, 176], Operations: ['2*88=176'] Exploring Operation: 32+72=104, Resulting Numbers: [176, 104] Generated Node #3: [176, 104] from Operation: 32+72=104 Current State: 72:[176, 104], Operations: ['2*88=176', '32+72=104'] Exploring Operation: 176-104=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 60, 12, 65 ]
75
[ "12-6=6", "60/6=10", "65+10=75" ]
Current State: 75:[6, 60, 12, 65], Operations: [] Exploring Operation: 12-6=6, Resulting Numbers: [60, 65, 6] Generated Node #2: [60, 65, 6] from Operation: 12-6=6 Current State: 75:[60, 65, 6], Operations: ['12-6=6'] Exploring Operation: 60/6=10, Resulting Numbers: [65, 10] Generated Node #3: [65, 10] from Operation: 60/6=10 Current State: 75:[65, 10], Operations: ['12-6=6', '60/6=10'] Exploring Operation: 65+10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 16, 26, 65, 77 ]
54
[ "16+26=42", "77-65=12", "42+12=54" ]
Current State: 54:[16, 26, 65, 77], Operations: [] Exploring Operation: 16+26=42, Resulting Numbers: [65, 77, 42] Generated Node #2: [65, 77, 42] from Operation: 16+26=42 Current State: 54:[65, 77, 42], Operations: ['16+26=42'] Exploring Operation: 77-65=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 77-65=12 Current State: 54:[42, 12], Operations: ['16+26=42', '77-65=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 87, 82, 2, 66 ]
73
[ "87-82=5", "2+66=68", "5+68=73" ]
Current State: 73:[87, 82, 2, 66], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [2, 66, 5] Generated Node #2: [2, 66, 5] from Operation: 87-82=5 Current State: 73:[2, 66, 5], Operations: ['87-82=5'] Exploring Operation: 2+66=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 2+66=68 Current State: 73:[5, 68], Operations: ['87-82=5', '2+66=68'] Exploring Operation: 5+68=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 92, 6, 56, 79 ]
73
[ "92-56=36", "36/6=6", "79-6=73" ]
Current State: 73:[92, 6, 56, 79], Operations: [] Exploring Operation: 92-56=36, Resulting Numbers: [6, 79, 36] Generated Node #2: [6, 79, 36] from Operation: 92-56=36 Current State: 73:[6, 79, 36], Operations: ['92-56=36'] Exploring Operation: 36/6=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 36/6=6 Current State: 73:[79, 6], Operations: ['92-56=36', '36/6=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 6, 10, 37 ]
83
[ "4*10=40", "6+37=43", "40+43=83" ]
Current State: 83:[4, 6, 10, 37], Operations: [] Exploring Operation: 4*10=40, Resulting Numbers: [6, 37, 40] Generated Node #2: [6, 37, 40] from Operation: 4*10=40 Current State: 83:[6, 37, 40], Operations: ['4*10=40'] Exploring Operation: 6+37=43, Resulting Numbers: [40, 43] Generated Node #3: [40, 43] from Operation: 6+37=43 Current State: 83:[40, 43], Operations: ['4*10=40', '6+37=43'] Exploring Operation: 40+43=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 82, 4, 23, 41 ]
16
[ "82+23=105", "105-41=64", "64/4=16" ]
Current State: 16:[82, 4, 23, 41], Operations: [] Exploring Operation: 82+23=105, Resulting Numbers: [4, 41, 105] Generated Node #2: [4, 41, 105] from Operation: 82+23=105 Current State: 16:[4, 41, 105], Operations: ['82+23=105'] Exploring Operation: 105-41=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 105-41=64 Current State: 16:[4, 64], Operations: ['82+23=105', '105-41=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 64, 19, 11, 16 ]
31
[ "19-16=3", "11*3=33", "64-33=31" ]
Current State: 31:[64, 19, 11, 16], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [64, 11, 3] Generated Node #2: [64, 11, 3] from Operation: 19-16=3 Current State: 31:[64, 11, 3], Operations: ['19-16=3'] Exploring Operation: 11*3=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 11*3=33 Current State: 31:[64, 33], Operations: ['19-16=3', '11*3=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 83, 84, 58, 41 ]
29
[ "83-41=42", "84/42=2", "58/2=29" ]
Current State: 29:[83, 84, 58, 41], Operations: [] Exploring Operation: 83-41=42, Resulting Numbers: [84, 58, 42] Generated Node #2: [84, 58, 42] from Operation: 83-41=42 Current State: 29:[84, 58, 42], Operations: ['83-41=42'] Exploring Operation: 84/42=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 84/42=2 Current State: 29:[58, 2], Operations: ['83-41=42', '84/42=2'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 72, 4, 30 ]
35
[ "38+72=110", "30+110=140", "140/4=35" ]
Current State: 35:[38, 72, 4, 30], Operations: [] Exploring Operation: 38+72=110, Resulting Numbers: [4, 30, 110] Generated Node #2: [4, 30, 110] from Operation: 38+72=110 Current State: 35:[4, 30, 110], Operations: ['38+72=110'] Exploring Operation: 30+110=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 30+110=140 Current State: 35:[4, 140], Operations: ['38+72=110', '30+110=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 55, 84, 52, 34 ]
57
[ "84-55=29", "52+34=86", "86-29=57" ]
Current State: 57:[55, 84, 52, 34], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [52, 34, 29] Generated Node #2: [52, 34, 29] from Operation: 84-55=29 Current State: 57:[52, 34, 29], Operations: ['84-55=29'] Exploring Operation: 52+34=86, Resulting Numbers: [29, 86] Generated Node #3: [29, 86] from Operation: 52+34=86 Current State: 57:[29, 86], Operations: ['84-55=29', '52+34=86'] Exploring Operation: 86-29=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 35, 70, 28, 55 ]
69
[ "70/35=2", "28/2=14", "55+14=69" ]
Current State: 69:[35, 70, 28, 55], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [28, 55, 2] Generated Node #2: [28, 55, 2] from Operation: 70/35=2 Current State: 69:[28, 55, 2], Operations: ['70/35=2'] Exploring Operation: 28/2=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 28/2=14 Current State: 69:[55, 14], Operations: ['70/35=2', '28/2=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 16, 16, 53 ]
42
[ "53-10=43", "16/16=1", "43-1=42" ]
Current State: 42:[10, 16, 16, 53], Operations: [] Exploring Operation: 53-10=43, Resulting Numbers: [16, 16, 43] Generated Node #2: [16, 16, 43] from Operation: 53-10=43 Current State: 42:[16, 16, 43], Operations: ['53-10=43'] Exploring Operation: 16/16=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 16/16=1 Current State: 42:[43, 1], Operations: ['53-10=43', '16/16=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 35, 70, 94 ]
90
[ "8*35=280", "280/70=4", "94-4=90" ]
Current State: 90:[8, 35, 70, 94], Operations: [] Exploring Operation: 8*35=280, Resulting Numbers: [70, 94, 280] Generated Node #2: [70, 94, 280] from Operation: 8*35=280 Current State: 90:[70, 94, 280], Operations: ['8*35=280'] Exploring Operation: 280/70=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 280/70=4 Current State: 90:[94, 4], Operations: ['8*35=280', '280/70=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 26, 74, 40 ]
24
[ "6+74=80", "80/40=2", "26-2=24" ]
Current State: 24:[6, 26, 74, 40], Operations: [] Exploring Operation: 6+74=80, Resulting Numbers: [26, 40, 80] Generated Node #2: [26, 40, 80] from Operation: 6+74=80 Current State: 24:[26, 40, 80], Operations: ['6+74=80'] Exploring Operation: 80/40=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 80/40=2 Current State: 24:[26, 2], Operations: ['6+74=80', '80/40=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 5, 4, 21 ]
96
[ "50-5=45", "45-21=24", "4*24=96" ]
Current State: 96:[50, 5, 4, 21], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [4, 21, 45] Generated Node #2: [4, 21, 45] from Operation: 50-5=45 Current State: 96:[4, 21, 45], Operations: ['50-5=45'] Exploring Operation: 45-21=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 45-21=24 Current State: 96:[4, 24], Operations: ['50-5=45', '45-21=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 18, 9, 28, 61 ]
24
[ "18-9=9", "61-28=33", "33-9=24" ]
Current State: 24:[18, 9, 28, 61], Operations: [] Exploring Operation: 18-9=9, Resulting Numbers: [28, 61, 9] Generated Node #2: [28, 61, 9] from Operation: 18-9=9 Current State: 24:[28, 61, 9], Operations: ['18-9=9'] Exploring Operation: 61-28=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 61-28=33 Current State: 24:[9, 33], Operations: ['18-9=9', '61-28=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 1, 58, 13, 3 ]
68
[ "1*58=58", "13-3=10", "58+10=68" ]
Current State: 68:[1, 58, 13, 3], Operations: [] Exploring Operation: 1*58=58, Resulting Numbers: [13, 3, 58] Generated Node #2: [13, 3, 58] from Operation: 1*58=58 Current State: 68:[13, 3, 58], Operations: ['1*58=58'] Exploring Operation: 13-3=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 13-3=10 Current State: 68:[58, 10], Operations: ['1*58=58', '13-3=10'] Exploring Operation: 58+10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 78, 45, 50 ]
72
[ "78*45=3510", "90+3510=3600", "3600/50=72" ]
Current State: 72:[90, 78, 45, 50], Operations: [] Exploring Operation: 78*45=3510, Resulting Numbers: [90, 50, 3510] Generated Node #2: [90, 50, 3510] from Operation: 78*45=3510 Current State: 72:[90, 50, 3510], Operations: ['78*45=3510'] Exploring Operation: 90+3510=3600, Resulting Numbers: [50, 3600] Generated Node #3: [50, 3600] from Operation: 90+3510=3600 Current State: 72:[50, 3600], Operations: ['78*45=3510', '90+3510=3600'] Exploring Operation: 3600/50=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 84, 60, 7 ]
95
[ "84-42=42", "60-7=53", "42+53=95" ]
Current State: 95:[42, 84, 60, 7], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [60, 7, 42] Generated Node #2: [60, 7, 42] from Operation: 84-42=42 Current State: 95:[60, 7, 42], Operations: ['84-42=42'] Exploring Operation: 60-7=53, Resulting Numbers: [42, 53] Generated Node #3: [42, 53] from Operation: 60-7=53 Current State: 95:[42, 53], Operations: ['84-42=42', '60-7=53'] Exploring Operation: 42+53=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 79, 30, 3, 65 ]
38
[ "79-30=49", "65+49=114", "114/3=38" ]
Current State: 38:[79, 30, 3, 65], Operations: [] Exploring Operation: 79-30=49, Resulting Numbers: [3, 65, 49] Generated Node #2: [3, 65, 49] from Operation: 79-30=49 Current State: 38:[3, 65, 49], Operations: ['79-30=49'] Exploring Operation: 65+49=114, Resulting Numbers: [3, 114] Generated Node #3: [3, 114] from Operation: 65+49=114 Current State: 38:[3, 114], Operations: ['79-30=49', '65+49=114'] Exploring Operation: 114/3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 42, 7, 32 ]
40
[ "32-18=14", "14/7=2", "42-2=40" ]
Current State: 40:[18, 42, 7, 32], Operations: [] Exploring Operation: 32-18=14, Resulting Numbers: [42, 7, 14] Generated Node #2: [42, 7, 14] from Operation: 32-18=14 Current State: 40:[42, 7, 14], Operations: ['32-18=14'] Exploring Operation: 14/7=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 14/7=2 Current State: 40:[42, 2], Operations: ['32-18=14', '14/7=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 89, 38, 75, 89 ]
65
[ "89-38=51", "89-75=14", "51+14=65" ]
Current State: 65:[89, 38, 75, 89], Operations: [] Exploring Operation: 89-38=51, Resulting Numbers: [75, 51] Generated Node #2: [75, 51] from Operation: 89-38=51 Current State: 65:[75, 51], Operations: ['89-38=51'] Exploring Operation: 89-75=14, Resulting Numbers: [51, 14] Generated Node #3: [51, 14] from Operation: 89-75=14 Current State: 65:[51, 14], Operations: ['89-38=51', '89-75=14'] Exploring Operation: 51+14=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 69, 79, 78 ]
19
[ "69-49=20", "79-78=1", "20-1=19" ]
Current State: 19:[49, 69, 79, 78], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [79, 78, 20] Generated Node #2: [79, 78, 20] from Operation: 69-49=20 Current State: 19:[79, 78, 20], Operations: ['69-49=20'] Exploring Operation: 79-78=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 79-78=1 Current State: 19:[20, 1], Operations: ['69-49=20', '79-78=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 79, 4, 44 ]
57
[ "6-4=2", "44/2=22", "79-22=57" ]
Current State: 57:[6, 79, 4, 44], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [79, 44, 2] Generated Node #2: [79, 44, 2] from Operation: 6-4=2 Current State: 57:[79, 44, 2], Operations: ['6-4=2'] Exploring Operation: 44/2=22, Resulting Numbers: [79, 22] Generated Node #3: [79, 22] from Operation: 44/2=22 Current State: 57:[79, 22], Operations: ['6-4=2', '44/2=22'] Exploring Operation: 79-22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 77, 97, 75 ]
89
[ "6+77=83", "97+75=172", "172-83=89" ]
Current State: 89:[6, 77, 97, 75], Operations: [] Exploring Operation: 6+77=83, Resulting Numbers: [97, 75, 83] Generated Node #2: [97, 75, 83] from Operation: 6+77=83 Current State: 89:[97, 75, 83], Operations: ['6+77=83'] Exploring Operation: 97+75=172, Resulting Numbers: [83, 172] Generated Node #3: [83, 172] from Operation: 97+75=172 Current State: 89:[83, 172], Operations: ['6+77=83', '97+75=172'] Exploring Operation: 172-83=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 21, 57, 8, 19 ]
89
[ "21+57=78", "19-8=11", "78+11=89" ]
Current State: 89:[21, 57, 8, 19], Operations: [] Exploring Operation: 21+57=78, Resulting Numbers: [8, 19, 78] Generated Node #2: [8, 19, 78] from Operation: 21+57=78 Current State: 89:[8, 19, 78], Operations: ['21+57=78'] Exploring Operation: 19-8=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 19-8=11 Current State: 89:[78, 11], Operations: ['21+57=78', '19-8=11'] Exploring Operation: 78+11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 49, 33, 50 ]
39
[ "38-33=5", "50/5=10", "49-10=39" ]
Current State: 39:[38, 49, 33, 50], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [49, 50, 5] Generated Node #2: [49, 50, 5] from Operation: 38-33=5 Current State: 39:[49, 50, 5], Operations: ['38-33=5'] Exploring Operation: 50/5=10, Resulting Numbers: [49, 10] Generated Node #3: [49, 10] from Operation: 50/5=10 Current State: 39:[49, 10], Operations: ['38-33=5', '50/5=10'] Exploring Operation: 49-10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 77, 50, 15, 79 ]
80
[ "79-77=2", "15*2=30", "50+30=80" ]
Current State: 80:[77, 50, 15, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [50, 15, 2] Generated Node #2: [50, 15, 2] from Operation: 79-77=2 Current State: 80:[50, 15, 2], Operations: ['79-77=2'] Exploring Operation: 15*2=30, Resulting Numbers: [50, 30] Generated Node #3: [50, 30] from Operation: 15*2=30 Current State: 80:[50, 30], Operations: ['79-77=2', '15*2=30'] Exploring Operation: 50+30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 49, 44, 54 ]
91
[ "49/7=7", "44+54=98", "98-7=91" ]
Current State: 91:[7, 49, 44, 54], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [44, 54, 7] Generated Node #2: [44, 54, 7] from Operation: 49/7=7 Current State: 91:[44, 54, 7], Operations: ['49/7=7'] Exploring Operation: 44+54=98, Resulting Numbers: [7, 98] Generated Node #3: [7, 98] from Operation: 44+54=98 Current State: 91:[7, 98], Operations: ['49/7=7', '44+54=98'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 85, 58, 70, 54 ]
35
[ "85-58=27", "70*27=1890", "1890/54=35" ]
Current State: 35:[85, 58, 70, 54], Operations: [] Exploring Operation: 85-58=27, Resulting Numbers: [70, 54, 27] Generated Node #2: [70, 54, 27] from Operation: 85-58=27 Current State: 35:[70, 54, 27], Operations: ['85-58=27'] Exploring Operation: 70*27=1890, Resulting Numbers: [54, 1890] Generated Node #3: [54, 1890] from Operation: 70*27=1890 Current State: 35:[54, 1890], Operations: ['85-58=27', '70*27=1890'] Exploring Operation: 1890/54=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 53, 4, 63 ]
54
[ "42*63=2646", "53-4=49", "2646/49=54" ]
Current State: 54:[42, 53, 4, 63], Operations: [] Exploring Operation: 42*63=2646, Resulting Numbers: [53, 4, 2646] Generated Node #2: [53, 4, 2646] from Operation: 42*63=2646 Current State: 54:[53, 4, 2646], Operations: ['42*63=2646'] Exploring Operation: 53-4=49, Resulting Numbers: [2646, 49] Generated Node #3: [2646, 49] from Operation: 53-4=49 Current State: 54:[2646, 49], Operations: ['42*63=2646', '53-4=49'] Exploring Operation: 2646/49=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 51, 87, 44, 4 ]
59
[ "51-44=7", "4*7=28", "87-28=59" ]
Current State: 59:[51, 87, 44, 4], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [87, 4, 7] Generated Node #2: [87, 4, 7] from Operation: 51-44=7 Current State: 59:[87, 4, 7], Operations: ['51-44=7'] Exploring Operation: 4*7=28, Resulting Numbers: [87, 28] Generated Node #3: [87, 28] from Operation: 4*7=28 Current State: 59:[87, 28], Operations: ['51-44=7', '4*7=28'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 85, 1, 29 ]
51
[ "85-5=80", "1*29=29", "80-29=51" ]
Current State: 51:[5, 85, 1, 29], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [1, 29, 80] Generated Node #2: [1, 29, 80] from Operation: 85-5=80 Current State: 51:[1, 29, 80], Operations: ['85-5=80'] Exploring Operation: 1*29=29, Resulting Numbers: [80, 29] Generated Node #3: [80, 29] from Operation: 1*29=29 Current State: 51:[80, 29], Operations: ['85-5=80', '1*29=29'] Exploring Operation: 80-29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 44, 88, 66 ]
28
[ "12*88=1056", "1056/66=16", "44-16=28" ]
Current State: 28:[12, 44, 88, 66], Operations: [] Exploring Operation: 12*88=1056, Resulting Numbers: [44, 66, 1056] Generated Node #2: [44, 66, 1056] from Operation: 12*88=1056 Current State: 28:[44, 66, 1056], Operations: ['12*88=1056'] Exploring Operation: 1056/66=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 1056/66=16 Current State: 28:[44, 16], Operations: ['12*88=1056', '1056/66=16'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 81, 68, 53, 70 ]
26
[ "81+68=149", "53+70=123", "149-123=26" ]
Current State: 26:[81, 68, 53, 70], Operations: [] Exploring Operation: 81+68=149, Resulting Numbers: [53, 70, 149] Generated Node #2: [53, 70, 149] from Operation: 81+68=149 Current State: 26:[53, 70, 149], Operations: ['81+68=149'] Exploring Operation: 53+70=123, Resulting Numbers: [149, 123] Generated Node #3: [149, 123] from Operation: 53+70=123 Current State: 26:[149, 123], Operations: ['81+68=149', '53+70=123'] Exploring Operation: 149-123=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 49, 57, 82, 45 ]
21
[ "49+57=106", "82+45=127", "127-106=21" ]
Current State: 21:[49, 57, 82, 45], Operations: [] Exploring Operation: 49+57=106, Resulting Numbers: [82, 45, 106] Generated Node #2: [82, 45, 106] from Operation: 49+57=106 Current State: 21:[82, 45, 106], Operations: ['49+57=106'] Exploring Operation: 82+45=127, Resulting Numbers: [106, 127] Generated Node #3: [106, 127] from Operation: 82+45=127 Current State: 21:[106, 127], Operations: ['49+57=106', '82+45=127'] Exploring Operation: 127-106=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 14, 57, 3 ]
49
[ "66/3=22", "14+57=71", "71-22=49" ]
Current State: 49:[66, 14, 57, 3], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [14, 57, 22] Generated Node #2: [14, 57, 22] from Operation: 66/3=22 Current State: 49:[14, 57, 22], Operations: ['66/3=22'] Exploring Operation: 14+57=71, Resulting Numbers: [22, 71] Generated Node #3: [22, 71] from Operation: 14+57=71 Current State: 49:[22, 71], Operations: ['66/3=22', '14+57=71'] Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 10, 10, 54, 70 ]
37
[ "54-10=44", "70/10=7", "44-7=37" ]
Current State: 37:[10, 10, 54, 70], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [70, 44] Generated Node #2: [70, 44] from Operation: 54-10=44 Current State: 37:[70, 44], Operations: ['54-10=44'] Exploring Operation: 70/10=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 70/10=7 Current State: 37:[44, 7], Operations: ['54-10=44', '70/10=7'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 3, 23, 9 ]
77
[ "2*3=6", "9*6=54", "23+54=77" ]
Current State: 77:[2, 3, 23, 9], Operations: [] Exploring Operation: 2*3=6, Resulting Numbers: [23, 9, 6] Generated Node #2: [23, 9, 6] from Operation: 2*3=6 Current State: 77:[23, 9, 6], Operations: ['2*3=6'] Exploring Operation: 9*6=54, Resulting Numbers: [23, 54] Generated Node #3: [23, 54] from Operation: 9*6=54 Current State: 77:[23, 54], Operations: ['2*3=6', '9*6=54'] Exploring Operation: 23+54=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 84, 70, 64 ]
72
[ "93*64=5952", "84*70=5880", "5952-5880=72" ]
Current State: 72:[93, 84, 70, 64], Operations: [] Exploring Operation: 93*64=5952, Resulting Numbers: [84, 70, 5952] Generated Node #2: [84, 70, 5952] from Operation: 93*64=5952 Current State: 72:[84, 70, 5952], Operations: ['93*64=5952'] Exploring Operation: 84*70=5880, Resulting Numbers: [5952, 5880] Generated Node #3: [5952, 5880] from Operation: 84*70=5880 Current State: 72:[5952, 5880], Operations: ['93*64=5952', '84*70=5880'] Exploring Operation: 5952-5880=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 74, 14, 77, 19 ]
61
[ "77-74=3", "14*3=42", "19+42=61" ]
Current State: 61:[74, 14, 77, 19], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [14, 19, 3] Generated Node #2: [14, 19, 3] from Operation: 77-74=3 Current State: 61:[14, 19, 3], Operations: ['77-74=3'] Exploring Operation: 14*3=42, Resulting Numbers: [19, 42] Generated Node #3: [19, 42] from Operation: 14*3=42 Current State: 61:[19, 42], Operations: ['77-74=3', '14*3=42'] Exploring Operation: 19+42=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4