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
[ 79, 26, 75, 41 ]
19
[ "79-26=53", "75-41=34", "53-34=19" ]
Current State: 19:[79, 26, 75, 41], Operations: [] Exploring Operation: 79-26=53, Resulting Numbers: [75, 41, 53] Generated Node #2: [75, 41, 53] from Operation: 79-26=53 Current State: 19:[75, 41, 53], Operations: ['79-26=53'] Exploring Operation: 75-41=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 75-41=34 Current State: 19:[53, 34], Operations: ['79-26=53', '75-41=34'] Exploring Operation: 53-34=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 34, 25, 97, 80 ]
50
[ "34*25=850", "97-80=17", "850/17=50" ]
Current State: 50:[34, 25, 97, 80], Operations: [] Exploring Operation: 34*25=850, Resulting Numbers: [97, 80, 850] Generated Node #2: [97, 80, 850] from Operation: 34*25=850 Current State: 50:[97, 80, 850], Operations: ['34*25=850'] Exploring Operation: 97-80=17, Resulting Numbers: [850, 17] Generated Node #3: [850, 17] from Operation: 97-80=17 Current State: 50:[850, 17], Operations: ['34*25=850', '97-80=17'] Exploring Operation: 850/17=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 91, 83, 98 ]
56
[ "91+98=189", "189/7=27", "83-27=56" ]
Current State: 56:[7, 91, 83, 98], Operations: [] Exploring Operation: 91+98=189, Resulting Numbers: [7, 83, 189] Generated Node #2: [7, 83, 189] from Operation: 91+98=189 Current State: 56:[7, 83, 189], Operations: ['91+98=189'] Exploring Operation: 189/7=27, Resulting Numbers: [83, 27] Generated Node #3: [83, 27] from Operation: 189/7=27 Current State: 56:[83, 27], Operations: ['91+98=189', '189/7=27'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 16, 84, 61, 89 ]
50
[ "16+84=100", "61+89=150", "150-100=50" ]
Current State: 50:[16, 84, 61, 89], Operations: [] Exploring Operation: 16+84=100, Resulting Numbers: [61, 89, 100] Generated Node #2: [61, 89, 100] from Operation: 16+84=100 Current State: 50:[61, 89, 100], Operations: ['16+84=100'] Exploring Operation: 61+89=150, Resulting Numbers: [100, 150] Generated Node #3: [100, 150] from Operation: 61+89=150 Current State: 50:[100, 150], Operations: ['16+84=100', '61+89=150'] Exploring Operation: 150-100=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 10, 86, 70 ]
45
[ "39-10=29", "86-70=16", "29+16=45" ]
Current State: 45:[39, 10, 86, 70], Operations: [] Exploring Operation: 39-10=29, Resulting Numbers: [86, 70, 29] Generated Node #2: [86, 70, 29] from Operation: 39-10=29 Current State: 45:[86, 70, 29], Operations: ['39-10=29'] Exploring Operation: 86-70=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 86-70=16 Current State: 45:[29, 16], Operations: ['39-10=29', '86-70=16'] Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 12, 54, 46 ]
15
[ "62*12=744", "744-54=690", "690/46=15" ]
Current State: 15:[62, 12, 54, 46], Operations: [] Exploring Operation: 62*12=744, Resulting Numbers: [54, 46, 744] Generated Node #2: [54, 46, 744] from Operation: 62*12=744 Current State: 15:[54, 46, 744], Operations: ['62*12=744'] Exploring Operation: 744-54=690, Resulting Numbers: [46, 690] Generated Node #3: [46, 690] from Operation: 744-54=690 Current State: 15:[46, 690], Operations: ['62*12=744', '744-54=690'] Exploring Operation: 690/46=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 68, 48, 6, 75 ]
94
[ "75-48=27", "6*27=162", "162-68=94" ]
Current State: 94:[68, 48, 6, 75], Operations: [] Exploring Operation: 75-48=27, Resulting Numbers: [68, 6, 27] Generated Node #2: [68, 6, 27] from Operation: 75-48=27 Current State: 94:[68, 6, 27], Operations: ['75-48=27'] Exploring Operation: 6*27=162, Resulting Numbers: [68, 162] Generated Node #3: [68, 162] from Operation: 6*27=162 Current State: 94:[68, 162], Operations: ['75-48=27', '6*27=162'] Exploring Operation: 162-68=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 44, 28, 6, 39 ]
28
[ "44-6=38", "39-38=1", "28*1=28" ]
Current State: 28:[44, 28, 6, 39], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [28, 39, 38] Generated Node #2: [28, 39, 38] from Operation: 44-6=38 Current State: 28:[28, 39, 38], Operations: ['44-6=38'] Exploring Operation: 39-38=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 39-38=1 Current State: 28:[28, 1], Operations: ['44-6=38', '39-38=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 24, 37, 3, 48 ]
88
[ "24/3=8", "48-37=11", "8*11=88" ]
Current State: 88:[24, 37, 3, 48], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [37, 48, 8] Generated Node #2: [37, 48, 8] from Operation: 24/3=8 Current State: 88:[37, 48, 8], Operations: ['24/3=8'] Exploring Operation: 48-37=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 48-37=11 Current State: 88:[8, 11], Operations: ['24/3=8', '48-37=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 4, 8, 19 ]
14
[ "65-19=46", "4*8=32", "46-32=14" ]
Current State: 14:[65, 4, 8, 19], Operations: [] Exploring Operation: 65-19=46, Resulting Numbers: [4, 8, 46] Generated Node #2: [4, 8, 46] from Operation: 65-19=46 Current State: 14:[4, 8, 46], Operations: ['65-19=46'] Exploring Operation: 4*8=32, Resulting Numbers: [46, 32] Generated Node #3: [46, 32] from Operation: 4*8=32 Current State: 14:[46, 32], Operations: ['65-19=46', '4*8=32'] Exploring Operation: 46-32=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 56, 12, 16 ]
25
[ "16-12=4", "56/4=14", "11+14=25" ]
Current State: 25:[11, 56, 12, 16], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [11, 56, 4] Generated Node #2: [11, 56, 4] from Operation: 16-12=4 Current State: 25:[11, 56, 4], Operations: ['16-12=4'] Exploring Operation: 56/4=14, Resulting Numbers: [11, 14] Generated Node #3: [11, 14] from Operation: 56/4=14 Current State: 25:[11, 14], Operations: ['16-12=4', '56/4=14'] Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 29, 11, 35 ]
26
[ "35-11=24", "24/8=3", "29-3=26" ]
Current State: 26:[8, 29, 11, 35], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [8, 29, 24] Generated Node #2: [8, 29, 24] from Operation: 35-11=24 Current State: 26:[8, 29, 24], Operations: ['35-11=24'] Exploring Operation: 24/8=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 24/8=3 Current State: 26:[29, 3], Operations: ['35-11=24', '24/8=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 50, 20, 23 ]
41
[ "50-6=44", "23-20=3", "44-3=41" ]
Current State: 41:[6, 50, 20, 23], Operations: [] Exploring Operation: 50-6=44, Resulting Numbers: [20, 23, 44] Generated Node #2: [20, 23, 44] from Operation: 50-6=44 Current State: 41:[20, 23, 44], Operations: ['50-6=44'] Exploring Operation: 23-20=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 23-20=3 Current State: 41:[44, 3], Operations: ['50-6=44', '23-20=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 25, 4, 56, 39 ]
75
[ "25+56=81", "4*39=156", "156-81=75" ]
Current State: 75:[25, 4, 56, 39], Operations: [] Exploring Operation: 25+56=81, Resulting Numbers: [4, 39, 81] Generated Node #2: [4, 39, 81] from Operation: 25+56=81 Current State: 75:[4, 39, 81], Operations: ['25+56=81'] Exploring Operation: 4*39=156, Resulting Numbers: [81, 156] Generated Node #3: [81, 156] from Operation: 4*39=156 Current State: 75:[81, 156], Operations: ['25+56=81', '4*39=156'] Exploring Operation: 156-81=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 83, 56, 59 ]
58
[ "35+83=118", "118/59=2", "56+2=58" ]
Current State: 58:[35, 83, 56, 59], Operations: [] Exploring Operation: 35+83=118, Resulting Numbers: [56, 59, 118] Generated Node #2: [56, 59, 118] from Operation: 35+83=118 Current State: 58:[56, 59, 118], Operations: ['35+83=118'] Exploring Operation: 118/59=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 118/59=2 Current State: 58:[56, 2], Operations: ['35+83=118', '118/59=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 78, 80, 3, 20 ]
58
[ "80-78=2", "3*20=60", "60-2=58" ]
Current State: 58:[78, 80, 3, 20], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [3, 20, 2] Generated Node #2: [3, 20, 2] from Operation: 80-78=2 Current State: 58:[3, 20, 2], Operations: ['80-78=2'] Exploring Operation: 3*20=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 3*20=60 Current State: 58:[2, 60], Operations: ['80-78=2', '3*20=60'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 43, 46, 2, 34 ]
67
[ "46-34=12", "2*12=24", "43+24=67" ]
Current State: 67:[43, 46, 2, 34], Operations: [] Exploring Operation: 46-34=12, Resulting Numbers: [43, 2, 12] Generated Node #2: [43, 2, 12] from Operation: 46-34=12 Current State: 67:[43, 2, 12], Operations: ['46-34=12'] Exploring Operation: 2*12=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 2*12=24 Current State: 67:[43, 24], Operations: ['46-34=12', '2*12=24'] Exploring Operation: 43+24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 12, 65, 5, 34 ]
29
[ "12*5=60", "65-34=31", "60-31=29" ]
Current State: 29:[12, 65, 5, 34], Operations: [] Exploring Operation: 12*5=60, Resulting Numbers: [65, 34, 60] Generated Node #2: [65, 34, 60] from Operation: 12*5=60 Current State: 29:[65, 34, 60], Operations: ['12*5=60'] Exploring Operation: 65-34=31, Resulting Numbers: [60, 31] Generated Node #3: [60, 31] from Operation: 65-34=31 Current State: 29:[60, 31], Operations: ['12*5=60', '65-34=31'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 86, 70, 19, 77 ]
80
[ "86-70=16", "19+77=96", "96-16=80" ]
Current State: 80:[86, 70, 19, 77], Operations: [] Exploring Operation: 86-70=16, Resulting Numbers: [19, 77, 16] Generated Node #2: [19, 77, 16] from Operation: 86-70=16 Current State: 80:[19, 77, 16], Operations: ['86-70=16'] Exploring Operation: 19+77=96, Resulting Numbers: [16, 96] Generated Node #3: [16, 96] from Operation: 19+77=96 Current State: 80:[16, 96], Operations: ['86-70=16', '19+77=96'] Exploring Operation: 96-16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 83, 93, 2, 13 ]
99
[ "83+13=96", "2*96=192", "192-93=99" ]
Current State: 99:[83, 93, 2, 13], Operations: [] Exploring Operation: 83+13=96, Resulting Numbers: [93, 2, 96] Generated Node #2: [93, 2, 96] from Operation: 83+13=96 Current State: 99:[93, 2, 96], Operations: ['83+13=96'] Exploring Operation: 2*96=192, Resulting Numbers: [93, 192] Generated Node #3: [93, 192] from Operation: 2*96=192 Current State: 99:[93, 192], Operations: ['83+13=96', '2*96=192'] Exploring Operation: 192-93=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 43, 96, 53, 59 ]
58
[ "96-43=53", "53/53=1", "59-1=58" ]
Current State: 58:[43, 96, 53, 59], Operations: [] Exploring Operation: 96-43=53, Resulting Numbers: [53, 59, 53] Generated Node #2: [53, 59, 53] from Operation: 96-43=53 Current State: 58:[53, 59, 53], Operations: ['96-43=53'] Exploring Operation: 53/53=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 53/53=1 Current State: 58:[59, 1], Operations: ['96-43=53', '53/53=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 63, 9, 80, 8 ]
16
[ "63+9=72", "80+8=88", "88-72=16" ]
Current State: 16:[63, 9, 80, 8], Operations: [] Exploring Operation: 63+9=72, Resulting Numbers: [80, 8, 72] Generated Node #2: [80, 8, 72] from Operation: 63+9=72 Current State: 16:[80, 8, 72], Operations: ['63+9=72'] Exploring Operation: 80+8=88, Resulting Numbers: [72, 88] Generated Node #3: [72, 88] from Operation: 80+8=88 Current State: 16:[72, 88], Operations: ['63+9=72', '80+8=88'] Exploring Operation: 88-72=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 20, 21, 11 ]
84
[ "69+11=80", "80/20=4", "21*4=84" ]
Current State: 84:[69, 20, 21, 11], Operations: [] Exploring Operation: 69+11=80, Resulting Numbers: [20, 21, 80] Generated Node #2: [20, 21, 80] from Operation: 69+11=80 Current State: 84:[20, 21, 80], Operations: ['69+11=80'] Exploring Operation: 80/20=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 80/20=4 Current State: 84:[21, 4], Operations: ['69+11=80', '80/20=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 49, 23, 26, 49 ]
95
[ "49+23=72", "49-26=23", "72+23=95" ]
Current State: 95:[49, 23, 26, 49], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [26, 72] Generated Node #2: [26, 72] from Operation: 49+23=72 Current State: 95:[26, 72], Operations: ['49+23=72'] Exploring Operation: 49-26=23, Resulting Numbers: [72, 23] Generated Node #3: [72, 23] from Operation: 49-26=23 Current State: 95:[72, 23], Operations: ['49+23=72', '49-26=23'] Exploring Operation: 72+23=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 98, 24, 1, 3 ]
89
[ "98-1=97", "24/3=8", "97-8=89" ]
Current State: 89:[98, 24, 1, 3], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [24, 3, 97] Generated Node #2: [24, 3, 97] from Operation: 98-1=97 Current State: 89:[24, 3, 97], Operations: ['98-1=97'] Exploring Operation: 24/3=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 24/3=8 Current State: 89:[97, 8], Operations: ['98-1=97', '24/3=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 55, 26, 32, 57 ]
91
[ "55+57=112", "26*112=2912", "2912/32=91" ]
Current State: 91:[55, 26, 32, 57], Operations: [] Exploring Operation: 55+57=112, Resulting Numbers: [26, 32, 112] Generated Node #2: [26, 32, 112] from Operation: 55+57=112 Current State: 91:[26, 32, 112], Operations: ['55+57=112'] Exploring Operation: 26*112=2912, Resulting Numbers: [32, 2912] Generated Node #3: [32, 2912] from Operation: 26*112=2912 Current State: 91:[32, 2912], Operations: ['55+57=112', '26*112=2912'] Exploring Operation: 2912/32=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 71, 44, 4 ]
90
[ "15+71=86", "44*4=176", "176-86=90" ]
Current State: 90:[15, 71, 44, 4], Operations: [] Exploring Operation: 15+71=86, Resulting Numbers: [44, 4, 86] Generated Node #2: [44, 4, 86] from Operation: 15+71=86 Current State: 90:[44, 4, 86], Operations: ['15+71=86'] Exploring Operation: 44*4=176, Resulting Numbers: [86, 176] Generated Node #3: [86, 176] from Operation: 44*4=176 Current State: 90:[86, 176], Operations: ['15+71=86', '44*4=176'] Exploring Operation: 176-86=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 27, 15, 5 ]
29
[ "27/3=9", "15+5=20", "9+20=29" ]
Current State: 29:[3, 27, 15, 5], Operations: [] Exploring Operation: 27/3=9, Resulting Numbers: [15, 5, 9] Generated Node #2: [15, 5, 9] from Operation: 27/3=9 Current State: 29:[15, 5, 9], Operations: ['27/3=9'] Exploring Operation: 15+5=20, Resulting Numbers: [9, 20] Generated Node #3: [9, 20] from Operation: 15+5=20 Current State: 29:[9, 20], Operations: ['27/3=9', '15+5=20'] Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 82, 62, 11, 37 ]
46
[ "82-62=20", "37-11=26", "20+26=46" ]
Current State: 46:[82, 62, 11, 37], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [11, 37, 20] Generated Node #2: [11, 37, 20] from Operation: 82-62=20 Current State: 46:[11, 37, 20], Operations: ['82-62=20'] Exploring Operation: 37-11=26, Resulting Numbers: [20, 26] Generated Node #3: [20, 26] from Operation: 37-11=26 Current State: 46:[20, 26], Operations: ['82-62=20', '37-11=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 43, 57, 85, 55 ]
10
[ "57-43=14", "85+55=140", "140/14=10" ]
Current State: 10:[43, 57, 85, 55], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [85, 55, 14] Generated Node #2: [85, 55, 14] from Operation: 57-43=14 Current State: 10:[85, 55, 14], Operations: ['57-43=14'] Exploring Operation: 85+55=140, Resulting Numbers: [14, 140] Generated Node #3: [14, 140] from Operation: 85+55=140 Current State: 10:[14, 140], Operations: ['57-43=14', '85+55=140'] Exploring Operation: 140/14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 33, 46, 75, 80 ]
20
[ "33+46=79", "79-75=4", "80/4=20" ]
Current State: 20:[33, 46, 75, 80], Operations: [] Exploring Operation: 33+46=79, Resulting Numbers: [75, 80, 79] Generated Node #2: [75, 80, 79] from Operation: 33+46=79 Current State: 20:[75, 80, 79], Operations: ['33+46=79'] Exploring Operation: 79-75=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 79-75=4 Current State: 20:[80, 4], Operations: ['33+46=79', '79-75=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 96, 91, 28, 94 ]
61
[ "96-91=5", "94-28=66", "66-5=61" ]
Current State: 61:[96, 91, 28, 94], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [28, 94, 5] Generated Node #2: [28, 94, 5] from Operation: 96-91=5 Current State: 61:[28, 94, 5], Operations: ['96-91=5'] Exploring Operation: 94-28=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 94-28=66 Current State: 61:[5, 66], Operations: ['96-91=5', '94-28=66'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 82, 45, 48 ]
50
[ "8+82=90", "90/45=2", "48+2=50" ]
Current State: 50:[8, 82, 45, 48], Operations: [] Exploring Operation: 8+82=90, Resulting Numbers: [45, 48, 90] Generated Node #2: [45, 48, 90] from Operation: 8+82=90 Current State: 50:[45, 48, 90], Operations: ['8+82=90'] Exploring Operation: 90/45=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 90/45=2 Current State: 50:[48, 2], Operations: ['8+82=90', '90/45=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 79, 22, 2, 9 ]
20
[ "79*2=158", "22+158=180", "180/9=20" ]
Current State: 20:[79, 22, 2, 9], Operations: [] Exploring Operation: 79*2=158, Resulting Numbers: [22, 9, 158] Generated Node #2: [22, 9, 158] from Operation: 79*2=158 Current State: 20:[22, 9, 158], Operations: ['79*2=158'] Exploring Operation: 22+158=180, Resulting Numbers: [9, 180] Generated Node #3: [9, 180] from Operation: 22+158=180 Current State: 20:[9, 180], Operations: ['79*2=158', '22+158=180'] Exploring Operation: 180/9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 65, 13, 15 ]
91
[ "39+65=104", "13*15=195", "195-104=91" ]
Current State: 91:[39, 65, 13, 15], Operations: [] Exploring Operation: 39+65=104, Resulting Numbers: [13, 15, 104] Generated Node #2: [13, 15, 104] from Operation: 39+65=104 Current State: 91:[13, 15, 104], Operations: ['39+65=104'] Exploring Operation: 13*15=195, Resulting Numbers: [104, 195] Generated Node #3: [104, 195] from Operation: 13*15=195 Current State: 91:[104, 195], Operations: ['39+65=104', '13*15=195'] Exploring Operation: 195-104=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 52, 13, 62 ]
34
[ "62-32=30", "52/13=4", "30+4=34" ]
Current State: 34:[32, 52, 13, 62], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [52, 13, 30] Generated Node #2: [52, 13, 30] from Operation: 62-32=30 Current State: 34:[52, 13, 30], Operations: ['62-32=30'] Exploring Operation: 52/13=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 52/13=4 Current State: 34:[30, 4], Operations: ['62-32=30', '52/13=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 51, 3, 87, 87 ]
53
[ "51+3=54", "87/87=1", "54-1=53" ]
Current State: 53:[51, 3, 87, 87], Operations: [] Exploring Operation: 51+3=54, Resulting Numbers: [87, 87, 54] Generated Node #2: [87, 87, 54] from Operation: 51+3=54 Current State: 53:[87, 87, 54], Operations: ['51+3=54'] Exploring Operation: 87/87=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 87/87=1 Current State: 53:[54, 1], Operations: ['51+3=54', '87/87=1'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 4, 96, 76 ]
38
[ "96/4=24", "26-24=2", "76/2=38" ]
Current State: 38:[26, 4, 96, 76], Operations: [] Exploring Operation: 96/4=24, Resulting Numbers: [26, 76, 24] Generated Node #2: [26, 76, 24] from Operation: 96/4=24 Current State: 38:[26, 76, 24], Operations: ['96/4=24'] Exploring Operation: 26-24=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 26-24=2 Current State: 38:[76, 2], Operations: ['96/4=24', '26-24=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 4, 41, 49, 82 ]
91
[ "82-49=33", "4*33=132", "132-41=91" ]
Current State: 91:[4, 41, 49, 82], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [4, 41, 33] Generated Node #2: [4, 41, 33] from Operation: 82-49=33 Current State: 91:[4, 41, 33], Operations: ['82-49=33'] Exploring Operation: 4*33=132, Resulting Numbers: [41, 132] Generated Node #3: [41, 132] from Operation: 4*33=132 Current State: 91:[41, 132], Operations: ['82-49=33', '4*33=132'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 9, 26, 4, 37 ]
55
[ "9-4=5", "37-26=11", "5*11=55" ]
Current State: 55:[9, 26, 4, 37], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [26, 37, 5] Generated Node #2: [26, 37, 5] from Operation: 9-4=5 Current State: 55:[26, 37, 5], Operations: ['9-4=5'] Exploring Operation: 37-26=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 37-26=11 Current State: 55:[5, 11], Operations: ['9-4=5', '37-26=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 24, 96, 19, 19 ]
57
[ "96/24=4", "19*4=76", "76-19=57" ]
Current State: 57:[24, 96, 19, 19], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [19, 19, 4] Generated Node #2: [19, 19, 4] from Operation: 96/24=4 Current State: 57:[19, 19, 4], Operations: ['96/24=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,57 equal: Goal Reached Exploring Operation: 76-19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 95, 25, 29, 71 ]
91
[ "29+71=100", "100/25=4", "95-4=91" ]
Current State: 91:[95, 25, 29, 71], Operations: [] Exploring Operation: 29+71=100, Resulting Numbers: [95, 25, 100] Generated Node #2: [95, 25, 100] from Operation: 29+71=100 Current State: 91:[95, 25, 100], Operations: ['29+71=100'] Exploring Operation: 100/25=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 100/25=4 Current State: 91:[95, 4], Operations: ['29+71=100', '100/25=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 97, 55, 51, 72 ]
81
[ "97-55=42", "51+72=123", "123-42=81" ]
Current State: 81:[97, 55, 51, 72], Operations: [] Exploring Operation: 97-55=42, Resulting Numbers: [51, 72, 42] Generated Node #2: [51, 72, 42] from Operation: 97-55=42 Current State: 81:[51, 72, 42], Operations: ['97-55=42'] Exploring Operation: 51+72=123, Resulting Numbers: [42, 123] Generated Node #3: [42, 123] from Operation: 51+72=123 Current State: 81:[42, 123], Operations: ['97-55=42', '51+72=123'] Exploring Operation: 123-42=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 28, 93, 62, 34 ]
76
[ "28*93=2604", "2604/62=42", "34+42=76" ]
Current State: 76:[28, 93, 62, 34], Operations: [] Exploring Operation: 28*93=2604, Resulting Numbers: [62, 34, 2604] Generated Node #2: [62, 34, 2604] from Operation: 28*93=2604 Current State: 76:[62, 34, 2604], Operations: ['28*93=2604'] Exploring Operation: 2604/62=42, Resulting Numbers: [34, 42] Generated Node #3: [34, 42] from Operation: 2604/62=42 Current State: 76:[34, 42], Operations: ['28*93=2604', '2604/62=42'] Exploring Operation: 34+42=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 79, 34, 3, 48 ]
63
[ "79-34=45", "45/3=15", "48+15=63" ]
Current State: 63:[79, 34, 3, 48], Operations: [] Exploring Operation: 79-34=45, Resulting Numbers: [3, 48, 45] Generated Node #2: [3, 48, 45] from Operation: 79-34=45 Current State: 63:[3, 48, 45], Operations: ['79-34=45'] Exploring Operation: 45/3=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 45/3=15 Current State: 63:[48, 15], Operations: ['79-34=45', '45/3=15'] Exploring Operation: 48+15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 29, 30, 38 ]
11
[ "49-38=11", "30-29=1", "11*1=11" ]
Current State: 11:[49, 29, 30, 38], Operations: [] Exploring Operation: 49-38=11, Resulting Numbers: [29, 30, 11] Generated Node #2: [29, 30, 11] from Operation: 49-38=11 Current State: 11:[29, 30, 11], Operations: ['49-38=11'] Exploring Operation: 30-29=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 30-29=1 Current State: 11:[11, 1], Operations: ['49-38=11', '30-29=1'] Exploring Operation: 11*1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 63, 6, 62, 60 ]
60
[ "63-60=3", "6/3=2", "62-2=60" ]
Current State: 60:[63, 6, 62, 60], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [6, 62, 3] Generated Node #2: [6, 62, 3] from Operation: 63-60=3 Current State: 60:[6, 62, 3], Operations: ['63-60=3'] Exploring Operation: 6/3=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 6/3=2 Current State: 60:[62, 2], Operations: ['63-60=3', '6/3=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 1, 71, 77, 10 ]
78
[ "1+10=11", "77/11=7", "71+7=78" ]
Current State: 78:[1, 71, 77, 10], Operations: [] Exploring Operation: 1+10=11, Resulting Numbers: [71, 77, 11] Generated Node #2: [71, 77, 11] from Operation: 1+10=11 Current State: 78:[71, 77, 11], Operations: ['1+10=11'] Exploring Operation: 77/11=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 77/11=7 Current State: 78:[71, 7], Operations: ['1+10=11', '77/11=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 78, 43, 80, 86 ]
45
[ "78+43=121", "80+86=166", "166-121=45" ]
Current State: 45:[78, 43, 80, 86], Operations: [] Exploring Operation: 78+43=121, Resulting Numbers: [80, 86, 121] Generated Node #2: [80, 86, 121] from Operation: 78+43=121 Current State: 45:[80, 86, 121], Operations: ['78+43=121'] Exploring Operation: 80+86=166, Resulting Numbers: [121, 166] Generated Node #3: [121, 166] from Operation: 80+86=166 Current State: 45:[121, 166], Operations: ['78+43=121', '80+86=166'] Exploring Operation: 166-121=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 1, 8, 55, 27 ]
90
[ "1*8=8", "55+27=82", "8+82=90" ]
Current State: 90:[1, 8, 55, 27], Operations: [] Exploring Operation: 1*8=8, Resulting Numbers: [55, 27, 8] Generated Node #2: [55, 27, 8] from Operation: 1*8=8 Current State: 90:[55, 27, 8], Operations: ['1*8=8'] Exploring Operation: 55+27=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 55+27=82 Current State: 90:[8, 82], Operations: ['1*8=8', '55+27=82'] Exploring Operation: 8+82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 9, 81, 86 ]
90
[ "2*9=18", "86-81=5", "18*5=90" ]
Current State: 90:[2, 9, 81, 86], Operations: [] Exploring Operation: 2*9=18, Resulting Numbers: [81, 86, 18] Generated Node #2: [81, 86, 18] from Operation: 2*9=18 Current State: 90:[81, 86, 18], Operations: ['2*9=18'] Exploring Operation: 86-81=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 86-81=5 Current State: 90:[18, 5], Operations: ['2*9=18', '86-81=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 70, 58, 27 ]
22
[ "58-44=14", "70/14=5", "27-5=22" ]
Current State: 22:[44, 70, 58, 27], Operations: [] Exploring Operation: 58-44=14, Resulting Numbers: [70, 27, 14] Generated Node #2: [70, 27, 14] from Operation: 58-44=14 Current State: 22:[70, 27, 14], Operations: ['58-44=14'] Exploring Operation: 70/14=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 70/14=5 Current State: 22:[27, 5], Operations: ['58-44=14', '70/14=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 75, 28, 64, 62 ]
79
[ "75-28=47", "64+62=126", "126-47=79" ]
Current State: 79:[75, 28, 64, 62], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [64, 62, 47] Generated Node #2: [64, 62, 47] from Operation: 75-28=47 Current State: 79:[64, 62, 47], Operations: ['75-28=47'] Exploring Operation: 64+62=126, Resulting Numbers: [47, 126] Generated Node #3: [47, 126] from Operation: 64+62=126 Current State: 79:[47, 126], Operations: ['75-28=47', '64+62=126'] Exploring Operation: 126-47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 71, 94, 63 ]
56
[ "16+71=87", "94-63=31", "87-31=56" ]
Current State: 56:[16, 71, 94, 63], Operations: [] Exploring Operation: 16+71=87, Resulting Numbers: [94, 63, 87] Generated Node #2: [94, 63, 87] from Operation: 16+71=87 Current State: 56:[94, 63, 87], Operations: ['16+71=87'] Exploring Operation: 94-63=31, Resulting Numbers: [87, 31] Generated Node #3: [87, 31] from Operation: 94-63=31 Current State: 56:[87, 31], Operations: ['16+71=87', '94-63=31'] Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 74, 34, 99 ]
18
[ "74-27=47", "99-34=65", "65-47=18" ]
Current State: 18:[27, 74, 34, 99], Operations: [] Exploring Operation: 74-27=47, Resulting Numbers: [34, 99, 47] Generated Node #2: [34, 99, 47] from Operation: 74-27=47 Current State: 18:[34, 99, 47], Operations: ['74-27=47'] Exploring Operation: 99-34=65, Resulting Numbers: [47, 65] Generated Node #3: [47, 65] from Operation: 99-34=65 Current State: 18:[47, 65], Operations: ['74-27=47', '99-34=65'] Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 3, 29, 36 ]
13
[ "8-3=5", "29+36=65", "65/5=13" ]
Current State: 13:[8, 3, 29, 36], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [29, 36, 5] Generated Node #2: [29, 36, 5] from Operation: 8-3=5 Current State: 13:[29, 36, 5], Operations: ['8-3=5'] Exploring Operation: 29+36=65, Resulting Numbers: [5, 65] Generated Node #3: [5, 65] from Operation: 29+36=65 Current State: 13:[5, 65], Operations: ['8-3=5', '29+36=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 7, 46, 48 ]
58
[ "7*48=336", "336-46=290", "290/5=58" ]
Current State: 58:[5, 7, 46, 48], Operations: [] Exploring Operation: 7*48=336, Resulting Numbers: [5, 46, 336] Generated Node #2: [5, 46, 336] from Operation: 7*48=336 Current State: 58:[5, 46, 336], Operations: ['7*48=336'] Exploring Operation: 336-46=290, Resulting Numbers: [5, 290] Generated Node #3: [5, 290] from Operation: 336-46=290 Current State: 58:[5, 290], Operations: ['7*48=336', '336-46=290'] Exploring Operation: 290/5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 31, 76, 83, 85 ]
69
[ "85-83=2", "76/2=38", "31+38=69" ]
Current State: 69:[31, 76, 83, 85], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [31, 76, 2] Generated Node #2: [31, 76, 2] from Operation: 85-83=2 Current State: 69:[31, 76, 2], Operations: ['85-83=2'] Exploring Operation: 76/2=38, Resulting Numbers: [31, 38] Generated Node #3: [31, 38] from Operation: 76/2=38 Current State: 69:[31, 38], Operations: ['85-83=2', '76/2=38'] Exploring Operation: 31+38=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 45, 19, 69 ]
16
[ "45-11=34", "69-19=50", "50-34=16" ]
Current State: 16:[11, 45, 19, 69], Operations: [] Exploring Operation: 45-11=34, Resulting Numbers: [19, 69, 34] Generated Node #2: [19, 69, 34] from Operation: 45-11=34 Current State: 16:[19, 69, 34], Operations: ['45-11=34'] Exploring Operation: 69-19=50, Resulting Numbers: [34, 50] Generated Node #3: [34, 50] from Operation: 69-19=50 Current State: 16:[34, 50], Operations: ['45-11=34', '69-19=50'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 25, 90, 32 ]
71
[ "25+32=57", "57/3=19", "90-19=71" ]
Current State: 71:[3, 25, 90, 32], Operations: [] Exploring Operation: 25+32=57, Resulting Numbers: [3, 90, 57] Generated Node #2: [3, 90, 57] from Operation: 25+32=57 Current State: 71:[3, 90, 57], Operations: ['25+32=57'] Exploring Operation: 57/3=19, Resulting Numbers: [90, 19] Generated Node #3: [90, 19] from Operation: 57/3=19 Current State: 71:[90, 19], Operations: ['25+32=57', '57/3=19'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 22, 82, 93 ]
94
[ "93-82=11", "22/11=2", "92+2=94" ]
Current State: 94:[92, 22, 82, 93], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [92, 22, 11] Generated Node #2: [92, 22, 11] from Operation: 93-82=11 Current State: 94:[92, 22, 11], Operations: ['93-82=11'] Exploring Operation: 22/11=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 22/11=2 Current State: 94:[92, 2], Operations: ['93-82=11', '22/11=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 96, 6, 4, 39 ]
59
[ "96+6=102", "4+39=43", "102-43=59" ]
Current State: 59:[96, 6, 4, 39], Operations: [] Exploring Operation: 96+6=102, Resulting Numbers: [4, 39, 102] Generated Node #2: [4, 39, 102] from Operation: 96+6=102 Current State: 59:[4, 39, 102], Operations: ['96+6=102'] Exploring Operation: 4+39=43, Resulting Numbers: [102, 43] Generated Node #3: [102, 43] from Operation: 4+39=43 Current State: 59:[102, 43], Operations: ['96+6=102', '4+39=43'] Exploring Operation: 102-43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 21, 93, 99 ]
29
[ "93+99=192", "192/24=8", "21+8=29" ]
Current State: 29:[24, 21, 93, 99], Operations: [] Exploring Operation: 93+99=192, Resulting Numbers: [24, 21, 192] Generated Node #2: [24, 21, 192] from Operation: 93+99=192 Current State: 29:[24, 21, 192], Operations: ['93+99=192'] Exploring Operation: 192/24=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 192/24=8 Current State: 29:[21, 8], Operations: ['93+99=192', '192/24=8'] Exploring Operation: 21+8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 23, 72, 73 ]
73
[ "48+23=71", "72-71=1", "73*1=73" ]
Current State: 73:[48, 23, 72, 73], Operations: [] Exploring Operation: 48+23=71, Resulting Numbers: [72, 73, 71] Generated Node #2: [72, 73, 71] from Operation: 48+23=71 Current State: 73:[72, 73, 71], Operations: ['48+23=71'] Exploring Operation: 72-71=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 72-71=1 Current State: 73:[73, 1], Operations: ['48+23=71', '72-71=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 88, 23, 22, 46 ]
66
[ "88*23=2024", "2024/46=44", "22+44=66" ]
Current State: 66:[88, 23, 22, 46], Operations: [] Exploring Operation: 88*23=2024, Resulting Numbers: [22, 46, 2024] Generated Node #2: [22, 46, 2024] from Operation: 88*23=2024 Current State: 66:[22, 46, 2024], Operations: ['88*23=2024'] Exploring Operation: 2024/46=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 2024/46=44 Current State: 66:[22, 44], Operations: ['88*23=2024', '2024/46=44'] Exploring Operation: 22+44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 80, 77, 28, 4 ]
100
[ "80-77=3", "28-3=25", "4*25=100" ]
Current State: 100:[80, 77, 28, 4], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [28, 4, 3] Generated Node #2: [28, 4, 3] from Operation: 80-77=3 Current State: 100:[28, 4, 3], Operations: ['80-77=3'] Exploring Operation: 28-3=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 28-3=25 Current State: 100:[4, 25], Operations: ['80-77=3', '28-3=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 80, 52, 18 ]
20
[ "80-52=28", "28/14=2", "18+2=20" ]
Current State: 20:[14, 80, 52, 18], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [14, 18, 28] Generated Node #2: [14, 18, 28] from Operation: 80-52=28 Current State: 20:[14, 18, 28], Operations: ['80-52=28'] Exploring Operation: 28/14=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 28/14=2 Current State: 20:[18, 2], Operations: ['80-52=28', '28/14=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 46, 40, 13, 48 ]
93
[ "48-46=2", "40*2=80", "13+80=93" ]
Current State: 93:[46, 40, 13, 48], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [40, 13, 2] Generated Node #2: [40, 13, 2] from Operation: 48-46=2 Current State: 93:[40, 13, 2], Operations: ['48-46=2'] Exploring Operation: 40*2=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 40*2=80 Current State: 93:[13, 80], Operations: ['48-46=2', '40*2=80'] Exploring Operation: 13+80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 78, 12, 75 ]
78
[ "14+12=26", "78-75=3", "26*3=78" ]
Current State: 78:[14, 78, 12, 75], Operations: [] Exploring Operation: 14+12=26, Resulting Numbers: [78, 75, 26] Generated Node #2: [78, 75, 26] from Operation: 14+12=26 Current State: 78:[78, 75, 26], Operations: ['14+12=26'] Exploring Operation: 78-75=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 78-75=3 Current State: 78:[26, 3], Operations: ['14+12=26', '78-75=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 90, 49, 23 ]
52
[ "34+90=124", "49+23=72", "124-72=52" ]
Current State: 52:[34, 90, 49, 23], Operations: [] Exploring Operation: 34+90=124, Resulting Numbers: [49, 23, 124] Generated Node #2: [49, 23, 124] from Operation: 34+90=124 Current State: 52:[49, 23, 124], Operations: ['34+90=124'] Exploring Operation: 49+23=72, Resulting Numbers: [124, 72] Generated Node #3: [124, 72] from Operation: 49+23=72 Current State: 52:[124, 72], Operations: ['34+90=124', '49+23=72'] Exploring Operation: 124-72=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 58, 20, 62 ]
98
[ "58-2=56", "62-20=42", "56+42=98" ]
Current State: 98:[2, 58, 20, 62], Operations: [] Exploring Operation: 58-2=56, Resulting Numbers: [20, 62, 56] Generated Node #2: [20, 62, 56] from Operation: 58-2=56 Current State: 98:[20, 62, 56], Operations: ['58-2=56'] Exploring Operation: 62-20=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 62-20=42 Current State: 98:[56, 42], Operations: ['58-2=56', '62-20=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 40, 61, 59, 21 ]
60
[ "61-40=21", "21/21=1", "59+1=60" ]
Current State: 60:[40, 61, 59, 21], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [59, 21, 21] Generated Node #2: [59, 21, 21] from Operation: 61-40=21 Current State: 60:[59, 21, 21], Operations: ['61-40=21'] Exploring Operation: 21/21=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 21/21=1 Current State: 60:[59, 1], Operations: ['61-40=21', '21/21=1'] Exploring Operation: 59+1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 42, 32, 63 ]
84
[ "36-32=4", "63-42=21", "4*21=84" ]
Current State: 84:[36, 42, 32, 63], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [42, 63, 4] Generated Node #2: [42, 63, 4] from Operation: 36-32=4 Current State: 84:[42, 63, 4], Operations: ['36-32=4'] Exploring Operation: 63-42=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 63-42=21 Current State: 84:[4, 21], Operations: ['36-32=4', '63-42=21'] Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 17, 15, 22, 38 ]
28
[ "17+15=32", "22+38=60", "60-32=28" ]
Current State: 28:[17, 15, 22, 38], Operations: [] Exploring Operation: 17+15=32, Resulting Numbers: [22, 38, 32] Generated Node #2: [22, 38, 32] from Operation: 17+15=32 Current State: 28:[22, 38, 32], Operations: ['17+15=32'] Exploring Operation: 22+38=60, Resulting Numbers: [32, 60] Generated Node #3: [32, 60] from Operation: 22+38=60 Current State: 28:[32, 60], Operations: ['17+15=32', '22+38=60'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 60, 39, 33, 54 ]
57
[ "60+39=99", "99/33=3", "54+3=57" ]
Current State: 57:[60, 39, 33, 54], Operations: [] Exploring Operation: 60+39=99, Resulting Numbers: [33, 54, 99] Generated Node #2: [33, 54, 99] from Operation: 60+39=99 Current State: 57:[33, 54, 99], Operations: ['60+39=99'] Exploring Operation: 99/33=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 99/33=3 Current State: 57:[54, 3], Operations: ['60+39=99', '99/33=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 90, 77, 96 ]
73
[ "90-36=54", "96-77=19", "54+19=73" ]
Current State: 73:[36, 90, 77, 96], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [77, 96, 54] Generated Node #2: [77, 96, 54] from Operation: 90-36=54 Current State: 73:[77, 96, 54], Operations: ['90-36=54'] Exploring Operation: 96-77=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 96-77=19 Current State: 73:[54, 19], Operations: ['90-36=54', '96-77=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 10, 22, 66 ]
50
[ "44+66=110", "10*110=1100", "1100/22=50" ]
Current State: 50:[44, 10, 22, 66], Operations: [] Exploring Operation: 44+66=110, Resulting Numbers: [10, 22, 110] Generated Node #2: [10, 22, 110] from Operation: 44+66=110 Current State: 50:[10, 22, 110], Operations: ['44+66=110'] Exploring Operation: 10*110=1100, Resulting Numbers: [22, 1100] Generated Node #3: [22, 1100] from Operation: 10*110=1100 Current State: 50:[22, 1100], Operations: ['44+66=110', '10*110=1100'] Exploring Operation: 1100/22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 61, 76, 69, 67 ]
72
[ "69-61=8", "76-67=9", "8*9=72" ]
Current State: 72:[61, 76, 69, 67], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [76, 67, 8] Generated Node #2: [76, 67, 8] from Operation: 69-61=8 Current State: 72:[76, 67, 8], Operations: ['69-61=8'] Exploring Operation: 76-67=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 76-67=9 Current State: 72:[8, 9], Operations: ['69-61=8', '76-67=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 2, 42, 94 ]
34
[ "55-42=13", "94/2=47", "47-13=34" ]
Current State: 34:[55, 2, 42, 94], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [2, 94, 13] Generated Node #2: [2, 94, 13] from Operation: 55-42=13 Current State: 34:[2, 94, 13], Operations: ['55-42=13'] Exploring Operation: 94/2=47, Resulting Numbers: [13, 47] Generated Node #3: [13, 47] from Operation: 94/2=47 Current State: 34:[13, 47], Operations: ['55-42=13', '94/2=47'] Exploring Operation: 47-13=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 11, 3, 57, 65 ]
55
[ "3+57=60", "65-60=5", "11*5=55" ]
Current State: 55:[11, 3, 57, 65], Operations: [] Exploring Operation: 3+57=60, Resulting Numbers: [11, 65, 60] Generated Node #2: [11, 65, 60] from Operation: 3+57=60 Current State: 55:[11, 65, 60], Operations: ['3+57=60'] Exploring Operation: 65-60=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 65-60=5 Current State: 55:[11, 5], Operations: ['3+57=60', '65-60=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 23, 10, 31, 97 ]
43
[ "23+97=120", "120/10=12", "31+12=43" ]
Current State: 43:[23, 10, 31, 97], Operations: [] Exploring Operation: 23+97=120, Resulting Numbers: [10, 31, 120] Generated Node #2: [10, 31, 120] from Operation: 23+97=120 Current State: 43:[10, 31, 120], Operations: ['23+97=120'] Exploring Operation: 120/10=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 120/10=12 Current State: 43:[31, 12], Operations: ['23+97=120', '120/10=12'] Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 43, 13, 29 ]
43
[ "43+13=56", "56/4=14", "29+14=43" ]
Current State: 43:[4, 43, 13, 29], Operations: [] Exploring Operation: 43+13=56, Resulting Numbers: [4, 29, 56] Generated Node #2: [4, 29, 56] from Operation: 43+13=56 Current State: 43:[4, 29, 56], Operations: ['43+13=56'] Exploring Operation: 56/4=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 56/4=14 Current State: 43:[29, 14], Operations: ['43+13=56', '56/4=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 5, 38, 51, 5 ]
65
[ "5*38=190", "51*5=255", "255-190=65" ]
Current State: 65:[5, 38, 51, 5], Operations: [] Exploring Operation: 5*38=190, Resulting Numbers: [51, 190] Generated Node #2: [51, 190] from Operation: 5*38=190 Current State: 65:[51, 190], Operations: ['5*38=190'] Exploring Operation: 51*5=255, Resulting Numbers: [190, 255] Generated Node #3: [190, 255] from Operation: 51*5=255 Current State: 65:[190, 255], Operations: ['5*38=190', '51*5=255'] Exploring Operation: 255-190=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 87, 37, 29 ]
93
[ "37-6=31", "87/29=3", "31*3=93" ]
Current State: 93:[6, 87, 37, 29], Operations: [] Exploring Operation: 37-6=31, Resulting Numbers: [87, 29, 31] Generated Node #2: [87, 29, 31] from Operation: 37-6=31 Current State: 93:[87, 29, 31], Operations: ['37-6=31'] Exploring Operation: 87/29=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 87/29=3 Current State: 93:[31, 3], Operations: ['37-6=31', '87/29=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 75, 71, 17 ]
16
[ "75-5=70", "71-17=54", "70-54=16" ]
Current State: 16:[5, 75, 71, 17], Operations: [] Exploring Operation: 75-5=70, Resulting Numbers: [71, 17, 70] Generated Node #2: [71, 17, 70] from Operation: 75-5=70 Current State: 16:[71, 17, 70], Operations: ['75-5=70'] Exploring Operation: 71-17=54, Resulting Numbers: [70, 54] Generated Node #3: [70, 54] from Operation: 71-17=54 Current State: 16:[70, 54], Operations: ['75-5=70', '71-17=54'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 78, 53, 78 ]
71
[ "78-32=46", "78-53=25", "46+25=71" ]
Current State: 71:[32, 78, 53, 78], Operations: [] Exploring Operation: 78-32=46, Resulting Numbers: [53, 46] Generated Node #2: [53, 46] from Operation: 78-32=46 Current State: 71:[53, 46], Operations: ['78-32=46'] Exploring Operation: 78-53=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 78-53=25 Current State: 71:[46, 25], Operations: ['78-32=46', '78-53=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 93, 28, 75 ]
88
[ "42+93=135", "75-28=47", "135-47=88" ]
Current State: 88:[42, 93, 28, 75], Operations: [] Exploring Operation: 42+93=135, Resulting Numbers: [28, 75, 135] Generated Node #2: [28, 75, 135] from Operation: 42+93=135 Current State: 88:[28, 75, 135], Operations: ['42+93=135'] Exploring Operation: 75-28=47, Resulting Numbers: [135, 47] Generated Node #3: [135, 47] from Operation: 75-28=47 Current State: 88:[135, 47], Operations: ['42+93=135', '75-28=47'] Exploring Operation: 135-47=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 92, 88, 29, 82 ]
94
[ "92+82=174", "174/29=6", "88+6=94" ]
Current State: 94:[92, 88, 29, 82], Operations: [] Exploring Operation: 92+82=174, Resulting Numbers: [88, 29, 174] Generated Node #2: [88, 29, 174] from Operation: 92+82=174 Current State: 94:[88, 29, 174], Operations: ['92+82=174'] Exploring Operation: 174/29=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 174/29=6 Current State: 94:[88, 6], Operations: ['92+82=174', '174/29=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 1, 73, 4 ]
41
[ "7+1=8", "4*8=32", "73-32=41" ]
Current State: 41:[7, 1, 73, 4], Operations: [] Exploring Operation: 7+1=8, Resulting Numbers: [73, 4, 8] Generated Node #2: [73, 4, 8] from Operation: 7+1=8 Current State: 41:[73, 4, 8], Operations: ['7+1=8'] Exploring Operation: 4*8=32, Resulting Numbers: [73, 32] Generated Node #3: [73, 32] from Operation: 4*8=32 Current State: 41:[73, 32], Operations: ['7+1=8', '4*8=32'] Exploring Operation: 73-32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 28, 63, 3, 36 ]
43
[ "28+36=64", "63/3=21", "64-21=43" ]
Current State: 43:[28, 63, 3, 36], Operations: [] Exploring Operation: 28+36=64, Resulting Numbers: [63, 3, 64] Generated Node #2: [63, 3, 64] from Operation: 28+36=64 Current State: 43:[63, 3, 64], Operations: ['28+36=64'] Exploring Operation: 63/3=21, Resulting Numbers: [64, 21] Generated Node #3: [64, 21] from Operation: 63/3=21 Current State: 43:[64, 21], Operations: ['28+36=64', '63/3=21'] Exploring Operation: 64-21=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 57, 42, 10, 93 ]
27
[ "57+93=150", "150/10=15", "42-15=27" ]
Current State: 27:[57, 42, 10, 93], Operations: [] Exploring Operation: 57+93=150, Resulting Numbers: [42, 10, 150] Generated Node #2: [42, 10, 150] from Operation: 57+93=150 Current State: 27:[42, 10, 150], Operations: ['57+93=150'] Exploring Operation: 150/10=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 150/10=15 Current State: 27:[42, 15], Operations: ['57+93=150', '150/10=15'] Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 34, 3, 51 ]
51
[ "37-34=3", "3+51=54", "54-3=51" ]
Current State: 51:[37, 34, 3, 51], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [3, 51, 3] Generated Node #2: [3, 51, 3] from Operation: 37-34=3 Current State: 51:[3, 51, 3], Operations: ['37-34=3'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,51 equal: Goal Reached Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 45, 83, 24, 96 ]
42
[ "83-45=38", "96/24=4", "38+4=42" ]
Current State: 42:[45, 83, 24, 96], Operations: [] Exploring Operation: 83-45=38, Resulting Numbers: [24, 96, 38] Generated Node #2: [24, 96, 38] from Operation: 83-45=38 Current State: 42:[24, 96, 38], Operations: ['83-45=38'] Exploring Operation: 96/24=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 96/24=4 Current State: 42:[38, 4], Operations: ['83-45=38', '96/24=4'] Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 66, 84, 29, 50 ]
32
[ "66+84=150", "150/50=3", "29+3=32" ]
Current State: 32:[66, 84, 29, 50], Operations: [] Exploring Operation: 66+84=150, Resulting Numbers: [29, 50, 150] Generated Node #2: [29, 50, 150] from Operation: 66+84=150 Current State: 32:[29, 50, 150], Operations: ['66+84=150'] Exploring Operation: 150/50=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 150/50=3 Current State: 32:[29, 3], Operations: ['66+84=150', '150/50=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 99, 54, 42 ]
27
[ "99-15=84", "54*42=2268", "2268/84=27" ]
Current State: 27:[15, 99, 54, 42], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [54, 42, 84] Generated Node #2: [54, 42, 84] from Operation: 99-15=84 Current State: 27:[54, 42, 84], Operations: ['99-15=84'] Exploring Operation: 54*42=2268, Resulting Numbers: [84, 2268] Generated Node #3: [84, 2268] from Operation: 54*42=2268 Current State: 27:[84, 2268], Operations: ['99-15=84', '54*42=2268'] Exploring Operation: 2268/84=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 96, 63, 6, 54 ]
99
[ "96+63=159", "6+54=60", "159-60=99" ]
Current State: 99:[96, 63, 6, 54], Operations: [] Exploring Operation: 96+63=159, Resulting Numbers: [6, 54, 159] Generated Node #2: [6, 54, 159] from Operation: 96+63=159 Current State: 99:[6, 54, 159], Operations: ['96+63=159'] Exploring Operation: 6+54=60, Resulting Numbers: [159, 60] Generated Node #3: [159, 60] from Operation: 6+54=60 Current State: 99:[159, 60], Operations: ['96+63=159', '6+54=60'] Exploring Operation: 159-60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 50, 8, 84 ]
70
[ "68-8=60", "50*84=4200", "4200/60=70" ]
Current State: 70:[68, 50, 8, 84], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [50, 84, 60] Generated Node #2: [50, 84, 60] from Operation: 68-8=60 Current State: 70:[50, 84, 60], Operations: ['68-8=60'] Exploring Operation: 50*84=4200, Resulting Numbers: [60, 4200] Generated Node #3: [60, 4200] from Operation: 50*84=4200 Current State: 70:[60, 4200], Operations: ['68-8=60', '50*84=4200'] Exploring Operation: 4200/60=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 48, 24, 15 ]
48
[ "60*24=1440", "1440/15=96", "96-48=48" ]
Current State: 48:[60, 48, 24, 15], Operations: [] Exploring Operation: 60*24=1440, Resulting Numbers: [48, 15, 1440] Generated Node #2: [48, 15, 1440] from Operation: 60*24=1440 Current State: 48:[48, 15, 1440], Operations: ['60*24=1440'] Exploring Operation: 1440/15=96, Resulting Numbers: [48, 96] Generated Node #3: [48, 96] from Operation: 1440/15=96 Current State: 48:[48, 96], Operations: ['60*24=1440', '1440/15=96'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 9, 76, 48 ]
97
[ "78-9=69", "76-48=28", "69+28=97" ]
Current State: 97:[78, 9, 76, 48], Operations: [] Exploring Operation: 78-9=69, Resulting Numbers: [76, 48, 69] Generated Node #2: [76, 48, 69] from Operation: 78-9=69 Current State: 97:[76, 48, 69], Operations: ['78-9=69'] Exploring Operation: 76-48=28, Resulting Numbers: [69, 28] Generated Node #3: [69, 28] from Operation: 76-48=28 Current State: 97:[69, 28], Operations: ['78-9=69', '76-48=28'] Exploring Operation: 69+28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 65, 7, 37, 79 ]
16
[ "65-7=58", "79-37=42", "58-42=16" ]
Current State: 16:[65, 7, 37, 79], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [37, 79, 58] Generated Node #2: [37, 79, 58] from Operation: 65-7=58 Current State: 16:[37, 79, 58], Operations: ['65-7=58'] Exploring Operation: 79-37=42, Resulting Numbers: [58, 42] Generated Node #3: [58, 42] from Operation: 79-37=42 Current State: 16:[58, 42], Operations: ['65-7=58', '79-37=42'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4