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
[ 26, 4, 3, 73 ]
35
[ "73-26=47", "4*3=12", "47-12=35" ]
Current State: 35:[26, 4, 3, 73], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [4, 3, 47] Generated Node #2: [4, 3, 47] from Operation: 73-26=47 Current State: 35:[4, 3, 47], Operations: ['73-26=47'] Exploring Operation: 4*3=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 4*3=12 Current State: 35:[47, 12], Operations: ['73-26=47', '4*3=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 5, 22, 49 ]
57
[ "49/7=7", "5*7=35", "22+35=57" ]
Current State: 57:[7, 5, 22, 49], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [5, 22, 7] Generated Node #2: [5, 22, 7] from Operation: 49/7=7 Current State: 57:[5, 22, 7], Operations: ['49/7=7'] Exploring Operation: 5*7=35, Resulting Numbers: [22, 35] Generated Node #3: [22, 35] from Operation: 5*7=35 Current State: 57:[22, 35], Operations: ['49/7=7', '5*7=35'] Exploring Operation: 22+35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 51, 71, 50 ]
34
[ "36+51=87", "71+50=121", "121-87=34" ]
Current State: 34:[36, 51, 71, 50], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [71, 50, 87] Generated Node #2: [71, 50, 87] from Operation: 36+51=87 Current State: 34:[71, 50, 87], Operations: ['36+51=87'] Exploring Operation: 71+50=121, Resulting Numbers: [87, 121] Generated Node #3: [87, 121] from Operation: 71+50=121 Current State: 34:[87, 121], Operations: ['36+51=87', '71+50=121'] Exploring Operation: 121-87=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 31, 8, 68, 63 ]
72
[ "63-31=32", "32/8=4", "68+4=72" ]
Current State: 72:[31, 8, 68, 63], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [8, 68, 32] Generated Node #2: [8, 68, 32] from Operation: 63-31=32 Current State: 72:[8, 68, 32], Operations: ['63-31=32'] Exploring Operation: 32/8=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 32/8=4 Current State: 72:[68, 4], Operations: ['63-31=32', '32/8=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 72, 13, 7 ]
28
[ "72/8=9", "13-9=4", "7*4=28" ]
Current State: 28:[8, 72, 13, 7], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [13, 7, 9] Generated Node #2: [13, 7, 9] from Operation: 72/8=9 Current State: 28:[13, 7, 9], Operations: ['72/8=9'] Exploring Operation: 13-9=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 13-9=4 Current State: 28:[7, 4], Operations: ['72/8=9', '13-9=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 44, 98, 22 ]
46
[ "30+44=74", "98+22=120", "120-74=46" ]
Current State: 46:[30, 44, 98, 22], Operations: [] Exploring Operation: 30+44=74, Resulting Numbers: [98, 22, 74] Generated Node #2: [98, 22, 74] from Operation: 30+44=74 Current State: 46:[98, 22, 74], Operations: ['30+44=74'] Exploring Operation: 98+22=120, Resulting Numbers: [74, 120] Generated Node #3: [74, 120] from Operation: 98+22=120 Current State: 46:[74, 120], Operations: ['30+44=74', '98+22=120'] Exploring Operation: 120-74=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 33, 85, 78, 34 ]
51
[ "85-33=52", "78*34=2652", "2652/52=51" ]
Current State: 51:[33, 85, 78, 34], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [78, 34, 52] Generated Node #2: [78, 34, 52] from Operation: 85-33=52 Current State: 51:[78, 34, 52], Operations: ['85-33=52'] Exploring Operation: 78*34=2652, Resulting Numbers: [52, 2652] Generated Node #3: [52, 2652] from Operation: 78*34=2652 Current State: 51:[52, 2652], Operations: ['85-33=52', '78*34=2652'] Exploring Operation: 2652/52=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 32, 78, 75 ]
80
[ "41+32=73", "78+75=153", "153-73=80" ]
Current State: 80:[41, 32, 78, 75], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [78, 75, 73] Generated Node #2: [78, 75, 73] from Operation: 41+32=73 Current State: 80:[78, 75, 73], Operations: ['41+32=73'] Exploring Operation: 78+75=153, Resulting Numbers: [73, 153] Generated Node #3: [73, 153] from Operation: 78+75=153 Current State: 80:[73, 153], Operations: ['41+32=73', '78+75=153'] Exploring Operation: 153-73=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 25, 67, 8, 90 ]
87
[ "67+8=75", "75/25=3", "90-3=87" ]
Current State: 87:[25, 67, 8, 90], Operations: [] Exploring Operation: 67+8=75, Resulting Numbers: [25, 90, 75] Generated Node #2: [25, 90, 75] from Operation: 67+8=75 Current State: 87:[25, 90, 75], Operations: ['67+8=75'] 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: ['67+8=75', '75/25=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 4, 39, 86 ]
77
[ "26+4=30", "86-39=47", "30+47=77" ]
Current State: 77:[26, 4, 39, 86], Operations: [] Exploring Operation: 26+4=30, Resulting Numbers: [39, 86, 30] Generated Node #2: [39, 86, 30] from Operation: 26+4=30 Current State: 77:[39, 86, 30], Operations: ['26+4=30'] Exploring Operation: 86-39=47, Resulting Numbers: [30, 47] Generated Node #3: [30, 47] from Operation: 86-39=47 Current State: 77:[30, 47], Operations: ['26+4=30', '86-39=47'] Exploring Operation: 30+47=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 94, 47, 47, 52 ]
21
[ "94/47=2", "52/2=26", "47-26=21" ]
Current State: 21:[94, 47, 47, 52], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [52, 2] Generated Node #2: [52, 2] from Operation: 94/47=2 Current State: 21:[52, 2], Operations: ['94/47=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,21 equal: Goal Reached Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 35, 54, 68, 70 ]
49
[ "35+54=89", "68+70=138", "138-89=49" ]
Current State: 49:[35, 54, 68, 70], Operations: [] Exploring Operation: 35+54=89, Resulting Numbers: [68, 70, 89] Generated Node #2: [68, 70, 89] from Operation: 35+54=89 Current State: 49:[68, 70, 89], Operations: ['35+54=89'] Exploring Operation: 68+70=138, Resulting Numbers: [89, 138] Generated Node #3: [89, 138] from Operation: 68+70=138 Current State: 49:[89, 138], Operations: ['35+54=89', '68+70=138'] Exploring Operation: 138-89=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 27, 44, 9, 41 ]
88
[ "27/9=3", "44+41=85", "3+85=88" ]
Current State: 88:[27, 44, 9, 41], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [44, 41, 3] Generated Node #2: [44, 41, 3] from Operation: 27/9=3 Current State: 88:[44, 41, 3], Operations: ['27/9=3'] Exploring Operation: 44+41=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 44+41=85 Current State: 88:[3, 85], Operations: ['27/9=3', '44+41=85'] Exploring Operation: 3+85=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 85, 7, 41 ]
31
[ "85-68=17", "7+41=48", "48-17=31" ]
Current State: 31:[68, 85, 7, 41], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [7, 41, 17] Generated Node #2: [7, 41, 17] from Operation: 85-68=17 Current State: 31:[7, 41, 17], Operations: ['85-68=17'] Exploring Operation: 7+41=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 7+41=48 Current State: 31:[17, 48], Operations: ['85-68=17', '7+41=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 16, 2, 52, 44 ]
22
[ "16-2=14", "52-44=8", "14+8=22" ]
Current State: 22:[16, 2, 52, 44], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [52, 44, 14] Generated Node #2: [52, 44, 14] from Operation: 16-2=14 Current State: 22:[52, 44, 14], Operations: ['16-2=14'] Exploring Operation: 52-44=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 52-44=8 Current State: 22:[14, 8], Operations: ['16-2=14', '52-44=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 17, 70, 17, 92 ]
56
[ "70-17=53", "17+92=109", "109-53=56" ]
Current State: 56:[17, 70, 17, 92], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [92, 53] Generated Node #2: [92, 53] from Operation: 70-17=53 Current State: 56:[92, 53], Operations: ['70-17=53'] Exploring Operation: 17+92=109, Resulting Numbers: [53, 109] Generated Node #3: [53, 109] from Operation: 17+92=109 Current State: 56:[53, 109], Operations: ['70-17=53', '17+92=109'] Exploring Operation: 109-53=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 33, 75, 22 ]
12
[ "75*22=1650", "1650/33=50", "62-50=12" ]
Current State: 12:[62, 33, 75, 22], Operations: [] Exploring Operation: 75*22=1650, Resulting Numbers: [62, 33, 1650] Generated Node #2: [62, 33, 1650] from Operation: 75*22=1650 Current State: 12:[62, 33, 1650], Operations: ['75*22=1650'] Exploring Operation: 1650/33=50, Resulting Numbers: [62, 50] Generated Node #3: [62, 50] from Operation: 1650/33=50 Current State: 12:[62, 50], Operations: ['75*22=1650', '1650/33=50'] Exploring Operation: 62-50=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 8, 16, 85 ]
100
[ "8/8=1", "16+85=101", "101-1=100" ]
Current State: 100:[8, 8, 16, 85], Operations: [] Exploring Operation: 8/8=1, Resulting Numbers: [16, 85, 1] Generated Node #2: [16, 85, 1] from Operation: 8/8=1 Current State: 100:[16, 85, 1], Operations: ['8/8=1'] Exploring Operation: 16+85=101, Resulting Numbers: [1, 101] Generated Node #3: [1, 101] from Operation: 16+85=101 Current State: 100:[1, 101], Operations: ['8/8=1', '16+85=101'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 9, 18, 2 ]
11
[ "18+9=27", "18-2=16", "27-16=11" ]
Current State: 11:[18, 9, 18, 2], Operations: [] Exploring Operation: 18+9=27, Resulting Numbers: [2, 27] Generated Node #2: [2, 27] from Operation: 18+9=27 Current State: 11:[2, 27], Operations: ['18+9=27'] Exploring Operation: 18-2=16, Resulting Numbers: [27, 16] Generated Node #3: [27, 16] from Operation: 18-2=16 Current State: 11:[27, 16], Operations: ['18+9=27', '18-2=16'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 38, 63, 10, 11 ]
85
[ "63-38=25", "10*11=110", "110-25=85" ]
Current State: 85:[38, 63, 10, 11], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 11, 25] Generated Node #2: [10, 11, 25] from Operation: 63-38=25 Current State: 85:[10, 11, 25], Operations: ['63-38=25'] Exploring Operation: 10*11=110, Resulting Numbers: [25, 110] Generated Node #3: [25, 110] from Operation: 10*11=110 Current State: 85:[25, 110], Operations: ['63-38=25', '10*11=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 25, 30, 36 ]
28
[ "25*36=900", "900/30=30", "30-2=28" ]
Current State: 28:[2, 25, 30, 36], Operations: [] Exploring Operation: 25*36=900, Resulting Numbers: [2, 30, 900] Generated Node #2: [2, 30, 900] from Operation: 25*36=900 Current State: 28:[2, 30, 900], Operations: ['25*36=900'] Exploring Operation: 900/30=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 900/30=30 Current State: 28:[2, 30], Operations: ['25*36=900', '900/30=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 7, 32, 5 ]
21
[ "10+32=42", "7-5=2", "42/2=21" ]
Current State: 21:[10, 7, 32, 5], Operations: [] Exploring Operation: 10+32=42, Resulting Numbers: [7, 5, 42] Generated Node #2: [7, 5, 42] from Operation: 10+32=42 Current State: 21:[7, 5, 42], Operations: ['10+32=42'] Exploring Operation: 7-5=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 7-5=2 Current State: 21:[42, 2], Operations: ['10+32=42', '7-5=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 5, 96, 96 ]
82
[ "78+5=83", "96/96=1", "83-1=82" ]
Current State: 82:[78, 5, 96, 96], Operations: [] Exploring Operation: 78+5=83, Resulting Numbers: [96, 96, 83] Generated Node #2: [96, 96, 83] from Operation: 78+5=83 Current State: 82:[96, 96, 83], Operations: ['78+5=83'] Exploring Operation: 96/96=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 96/96=1 Current State: 82:[83, 1], Operations: ['78+5=83', '96/96=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 82, 94, 30, 61 ]
79
[ "94-82=12", "30+61=91", "91-12=79" ]
Current State: 79:[82, 94, 30, 61], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [30, 61, 12] Generated Node #2: [30, 61, 12] from Operation: 94-82=12 Current State: 79:[30, 61, 12], Operations: ['94-82=12'] Exploring Operation: 30+61=91, Resulting Numbers: [12, 91] Generated Node #3: [12, 91] from Operation: 30+61=91 Current State: 79:[12, 91], Operations: ['94-82=12', '30+61=91'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 39, 5, 2 ]
100
[ "79-39=40", "5*40=200", "200/2=100" ]
Current State: 100:[79, 39, 5, 2], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [5, 2, 40] Generated Node #2: [5, 2, 40] from Operation: 79-39=40 Current State: 100:[5, 2, 40], Operations: ['79-39=40'] Exploring Operation: 5*40=200, Resulting Numbers: [2, 200] Generated Node #3: [2, 200] from Operation: 5*40=200 Current State: 100:[2, 200], Operations: ['79-39=40', '5*40=200'] Exploring Operation: 200/2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 88, 29, 33, 1 ]
23
[ "33-29=4", "88/4=22", "1+22=23" ]
Current State: 23:[88, 29, 33, 1], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [88, 1, 4] Generated Node #2: [88, 1, 4] from Operation: 33-29=4 Current State: 23:[88, 1, 4], Operations: ['33-29=4'] Exploring Operation: 88/4=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 88/4=22 Current State: 23:[1, 22], Operations: ['33-29=4', '88/4=22'] Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 86, 91, 40 ]
43
[ "91-53=38", "40-38=2", "86/2=43" ]
Current State: 43:[53, 86, 91, 40], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [86, 40, 38] Generated Node #2: [86, 40, 38] from Operation: 91-53=38 Current State: 43:[86, 40, 38], Operations: ['91-53=38'] Exploring Operation: 40-38=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 40-38=2 Current State: 43:[86, 2], Operations: ['91-53=38', '40-38=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 58, 33, 5 ]
73
[ "58-13=45", "33-5=28", "45+28=73" ]
Current State: 73:[13, 58, 33, 5], Operations: [] Exploring Operation: 58-13=45, Resulting Numbers: [33, 5, 45] Generated Node #2: [33, 5, 45] from Operation: 58-13=45 Current State: 73:[33, 5, 45], Operations: ['58-13=45'] Exploring Operation: 33-5=28, Resulting Numbers: [45, 28] Generated Node #3: [45, 28] from Operation: 33-5=28 Current State: 73:[45, 28], Operations: ['58-13=45', '33-5=28'] Exploring Operation: 45+28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 55, 10, 9 ]
11
[ "54+55=109", "109-10=99", "99/9=11" ]
Current State: 11:[54, 55, 10, 9], Operations: [] Exploring Operation: 54+55=109, Resulting Numbers: [10, 9, 109] Generated Node #2: [10, 9, 109] from Operation: 54+55=109 Current State: 11:[10, 9, 109], Operations: ['54+55=109'] Exploring Operation: 109-10=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 109-10=99 Current State: 11:[9, 99], Operations: ['54+55=109', '109-10=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 11, 13, 58, 4 ]
41
[ "13-4=9", "11*9=99", "99-58=41" ]
Current State: 41:[11, 13, 58, 4], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [11, 58, 9] Generated Node #2: [11, 58, 9] from Operation: 13-4=9 Current State: 41:[11, 58, 9], Operations: ['13-4=9'] Exploring Operation: 11*9=99, Resulting Numbers: [58, 99] Generated Node #3: [58, 99] from Operation: 11*9=99 Current State: 41:[58, 99], Operations: ['13-4=9', '11*9=99'] Exploring Operation: 99-58=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 97, 12, 77 ]
40
[ "24/12=2", "97-77=20", "2*20=40" ]
Current State: 40:[24, 97, 12, 77], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [97, 77, 2] Generated Node #2: [97, 77, 2] from Operation: 24/12=2 Current State: 40:[97, 77, 2], Operations: ['24/12=2'] Exploring Operation: 97-77=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 97-77=20 Current State: 40:[2, 20], Operations: ['24/12=2', '97-77=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 78, 37, 21, 2 ]
47
[ "78+37=115", "115-21=94", "94/2=47" ]
Current State: 47:[78, 37, 21, 2], Operations: [] Exploring Operation: 78+37=115, Resulting Numbers: [21, 2, 115] Generated Node #2: [21, 2, 115] from Operation: 78+37=115 Current State: 47:[21, 2, 115], Operations: ['78+37=115'] Exploring Operation: 115-21=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 115-21=94 Current State: 47:[2, 94], Operations: ['78+37=115', '115-21=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 15, 2, 82 ]
90
[ "31-15=16", "16/2=8", "82+8=90" ]
Current State: 90:[31, 15, 2, 82], Operations: [] Exploring Operation: 31-15=16, Resulting Numbers: [2, 82, 16] Generated Node #2: [2, 82, 16] from Operation: 31-15=16 Current State: 90:[2, 82, 16], Operations: ['31-15=16'] Exploring Operation: 16/2=8, Resulting Numbers: [82, 8] Generated Node #3: [82, 8] from Operation: 16/2=8 Current State: 90:[82, 8], Operations: ['31-15=16', '16/2=8'] Exploring Operation: 82+8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 59, 69, 35, 70 ]
12
[ "69-59=10", "70/35=2", "10+2=12" ]
Current State: 12:[59, 69, 35, 70], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [35, 70, 10] Generated Node #2: [35, 70, 10] from Operation: 69-59=10 Current State: 12:[35, 70, 10], Operations: ['69-59=10'] Exploring Operation: 70/35=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 70/35=2 Current State: 12:[10, 2], Operations: ['69-59=10', '70/35=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 45, 3, 33 ]
98
[ "83+45=128", "33-3=30", "128-30=98" ]
Current State: 98:[83, 45, 3, 33], Operations: [] Exploring Operation: 83+45=128, Resulting Numbers: [3, 33, 128] Generated Node #2: [3, 33, 128] from Operation: 83+45=128 Current State: 98:[3, 33, 128], Operations: ['83+45=128'] Exploring Operation: 33-3=30, Resulting Numbers: [128, 30] Generated Node #3: [128, 30] from Operation: 33-3=30 Current State: 98:[128, 30], Operations: ['83+45=128', '33-3=30'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 83, 3, 83, 46 ]
42
[ "83/83=1", "46-3=43", "43-1=42" ]
Current State: 42:[83, 3, 83, 46], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [3, 46, 1] Generated Node #2: [3, 46, 1] from Operation: 83/83=1 Current State: 42:[3, 46, 1], Operations: ['83/83=1'] Exploring Operation: 46-3=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 46-3=43 Current State: 42:[1, 43], Operations: ['83/83=1', '46-3=43'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 87, 10, 19 ]
39
[ "10+19=29", "87/29=3", "42-3=39" ]
Current State: 39:[42, 87, 10, 19], Operations: [] Exploring Operation: 10+19=29, Resulting Numbers: [42, 87, 29] Generated Node #2: [42, 87, 29] from Operation: 10+19=29 Current State: 39:[42, 87, 29], Operations: ['10+19=29'] Exploring Operation: 87/29=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 87/29=3 Current State: 39:[42, 3], Operations: ['10+19=29', '87/29=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 6, 2, 36 ]
63
[ "81*2=162", "162/6=27", "36+27=63" ]
Current State: 63:[81, 6, 2, 36], Operations: [] Exploring Operation: 81*2=162, Resulting Numbers: [6, 36, 162] Generated Node #2: [6, 36, 162] from Operation: 81*2=162 Current State: 63:[6, 36, 162], Operations: ['81*2=162'] Exploring Operation: 162/6=27, Resulting Numbers: [36, 27] Generated Node #3: [36, 27] from Operation: 162/6=27 Current State: 63:[36, 27], Operations: ['81*2=162', '162/6=27'] Exploring Operation: 36+27=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 72, 79, 44 ]
50
[ "1+72=73", "79+44=123", "123-73=50" ]
Current State: 50:[1, 72, 79, 44], Operations: [] Exploring Operation: 1+72=73, Resulting Numbers: [79, 44, 73] Generated Node #2: [79, 44, 73] from Operation: 1+72=73 Current State: 50:[79, 44, 73], Operations: ['1+72=73'] Exploring Operation: 79+44=123, Resulting Numbers: [73, 123] Generated Node #3: [73, 123] from Operation: 79+44=123 Current State: 50:[73, 123], Operations: ['1+72=73', '79+44=123'] Exploring Operation: 123-73=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 11, 4, 94 ]
71
[ "8+11=19", "94-4=90", "90-19=71" ]
Current State: 71:[8, 11, 4, 94], Operations: [] Exploring Operation: 8+11=19, Resulting Numbers: [4, 94, 19] Generated Node #2: [4, 94, 19] from Operation: 8+11=19 Current State: 71:[4, 94, 19], Operations: ['8+11=19'] Exploring Operation: 94-4=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 94-4=90 Current State: 71:[19, 90], Operations: ['8+11=19', '94-4=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 58, 14, 49 ]
84
[ "82-58=24", "49*24=1176", "1176/14=84" ]
Current State: 84:[82, 58, 14, 49], Operations: [] Exploring Operation: 82-58=24, Resulting Numbers: [14, 49, 24] Generated Node #2: [14, 49, 24] from Operation: 82-58=24 Current State: 84:[14, 49, 24], Operations: ['82-58=24'] Exploring Operation: 49*24=1176, Resulting Numbers: [14, 1176] Generated Node #3: [14, 1176] from Operation: 49*24=1176 Current State: 84:[14, 1176], Operations: ['82-58=24', '49*24=1176'] Exploring Operation: 1176/14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 21, 37, 20, 15 ]
52
[ "21-20=1", "37+15=52", "1*52=52" ]
Current State: 52:[21, 37, 20, 15], Operations: [] Exploring Operation: 21-20=1, Resulting Numbers: [37, 15, 1] Generated Node #2: [37, 15, 1] from Operation: 21-20=1 Current State: 52:[37, 15, 1], Operations: ['21-20=1'] Exploring Operation: 37+15=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 37+15=52 Current State: 52:[1, 52], Operations: ['21-20=1', '37+15=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 56, 44, 64 ]
67
[ "56-44=12", "12/4=3", "64+3=67" ]
Current State: 67:[4, 56, 44, 64], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [4, 64, 12] Generated Node #2: [4, 64, 12] from Operation: 56-44=12 Current State: 67:[4, 64, 12], Operations: ['56-44=12'] Exploring Operation: 12/4=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 12/4=3 Current State: 67:[64, 3], Operations: ['56-44=12', '12/4=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 21, 97, 21, 15 ]
81
[ "21/21=1", "97-15=82", "82-1=81" ]
Current State: 81:[21, 97, 21, 15], Operations: [] Exploring Operation: 21/21=1, Resulting Numbers: [97, 15, 1] Generated Node #2: [97, 15, 1] from Operation: 21/21=1 Current State: 81:[97, 15, 1], Operations: ['21/21=1'] Exploring Operation: 97-15=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 97-15=82 Current State: 81:[1, 82], Operations: ['21/21=1', '97-15=82'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 74, 7, 38, 32 ]
75
[ "74+7=81", "38-32=6", "81-6=75" ]
Current State: 75:[74, 7, 38, 32], Operations: [] Exploring Operation: 74+7=81, Resulting Numbers: [38, 32, 81] Generated Node #2: [38, 32, 81] from Operation: 74+7=81 Current State: 75:[38, 32, 81], Operations: ['74+7=81'] Exploring Operation: 38-32=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 38-32=6 Current State: 75:[81, 6], Operations: ['74+7=81', '38-32=6'] Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 48, 50, 67, 19 ]
43
[ "50-48=2", "67+19=86", "86/2=43" ]
Current State: 43:[48, 50, 67, 19], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [67, 19, 2] Generated Node #2: [67, 19, 2] from Operation: 50-48=2 Current State: 43:[67, 19, 2], Operations: ['50-48=2'] Exploring Operation: 67+19=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 67+19=86 Current State: 43:[2, 86], Operations: ['50-48=2', '67+19=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 2, 2, 13 ]
10
[ "72/2=36", "2*13=26", "36-26=10" ]
Current State: 10:[72, 2, 2, 13], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [13, 36] Generated Node #2: [13, 36] from Operation: 72/2=36 Current State: 10:[13, 36], Operations: ['72/2=36'] Exploring Operation: 2*13=26, Resulting Numbers: [36, 26] Generated Node #3: [36, 26] from Operation: 2*13=26 Current State: 10:[36, 26], Operations: ['72/2=36', '2*13=26'] Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 98, 69, 96 ]
79
[ "8+98=106", "96-69=27", "106-27=79" ]
Current State: 79:[8, 98, 69, 96], Operations: [] Exploring Operation: 8+98=106, Resulting Numbers: [69, 96, 106] Generated Node #2: [69, 96, 106] from Operation: 8+98=106 Current State: 79:[69, 96, 106], Operations: ['8+98=106'] Exploring Operation: 96-69=27, Resulting Numbers: [106, 27] Generated Node #3: [106, 27] from Operation: 96-69=27 Current State: 79:[106, 27], Operations: ['8+98=106', '96-69=27'] Exploring Operation: 106-27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 64, 11, 24 ]
34
[ "64+24=88", "88/11=8", "26+8=34" ]
Current State: 34:[26, 64, 11, 24], Operations: [] Exploring Operation: 64+24=88, Resulting Numbers: [26, 11, 88] Generated Node #2: [26, 11, 88] from Operation: 64+24=88 Current State: 34:[26, 11, 88], Operations: ['64+24=88'] Exploring Operation: 88/11=8, Resulting Numbers: [26, 8] Generated Node #3: [26, 8] from Operation: 88/11=8 Current State: 34:[26, 8], Operations: ['64+24=88', '88/11=8'] Exploring Operation: 26+8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 71, 60, 5 ]
83
[ "24+71=95", "60/5=12", "95-12=83" ]
Current State: 83:[24, 71, 60, 5], Operations: [] Exploring Operation: 24+71=95, Resulting Numbers: [60, 5, 95] Generated Node #2: [60, 5, 95] from Operation: 24+71=95 Current State: 83:[60, 5, 95], Operations: ['24+71=95'] Exploring Operation: 60/5=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 60/5=12 Current State: 83:[95, 12], Operations: ['24+71=95', '60/5=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 81, 84, 28 ]
69
[ "36*28=1008", "1008/84=12", "81-12=69" ]
Current State: 69:[36, 81, 84, 28], Operations: [] Exploring Operation: 36*28=1008, Resulting Numbers: [81, 84, 1008] Generated Node #2: [81, 84, 1008] from Operation: 36*28=1008 Current State: 69:[81, 84, 1008], Operations: ['36*28=1008'] Exploring Operation: 1008/84=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 1008/84=12 Current State: 69:[81, 12], Operations: ['36*28=1008', '1008/84=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 7, 62, 17, 83 ]
28
[ "62+17=79", "83-79=4", "7*4=28" ]
Current State: 28:[7, 62, 17, 83], Operations: [] Exploring Operation: 62+17=79, Resulting Numbers: [7, 83, 79] Generated Node #2: [7, 83, 79] from Operation: 62+17=79 Current State: 28:[7, 83, 79], Operations: ['62+17=79'] Exploring Operation: 83-79=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 83-79=4 Current State: 28:[7, 4], Operations: ['62+17=79', '83-79=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 97, 28, 43 ]
33
[ "97+43=140", "140/28=5", "28+5=33" ]
Current State: 33:[28, 97, 28, 43], Operations: [] Exploring Operation: 97+43=140, Resulting Numbers: [28, 28, 140] Generated Node #2: [28, 28, 140] from Operation: 97+43=140 Current State: 33:[28, 28, 140], Operations: ['97+43=140'] Exploring Operation: 140/28=5, Resulting Numbers: [5] 5,33 equal: Goal Reached Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 83, 57, 95, 18 ]
27
[ "83+57=140", "95+18=113", "140-113=27" ]
Current State: 27:[83, 57, 95, 18], Operations: [] Exploring Operation: 83+57=140, Resulting Numbers: [95, 18, 140] Generated Node #2: [95, 18, 140] from Operation: 83+57=140 Current State: 27:[95, 18, 140], Operations: ['83+57=140'] Exploring Operation: 95+18=113, Resulting Numbers: [140, 113] Generated Node #3: [140, 113] from Operation: 95+18=113 Current State: 27:[140, 113], Operations: ['83+57=140', '95+18=113'] Exploring Operation: 140-113=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 8, 18, 91, 8 ]
73
[ "8+18=26", "91+8=99", "99-26=73" ]
Current State: 73:[8, 18, 91, 8], Operations: [] Exploring Operation: 8+18=26, Resulting Numbers: [91, 26] Generated Node #2: [91, 26] from Operation: 8+18=26 Current State: 73:[91, 26], Operations: ['8+18=26'] Exploring Operation: 91+8=99, Resulting Numbers: [26, 99] Generated Node #3: [26, 99] from Operation: 91+8=99 Current State: 73:[26, 99], Operations: ['8+18=26', '91+8=99'] Exploring Operation: 99-26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 76, 82, 55, 71 ]
81
[ "82-71=11", "55/11=5", "76+5=81" ]
Current State: 81:[76, 82, 55, 71], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [76, 55, 11] Generated Node #2: [76, 55, 11] from Operation: 82-71=11 Current State: 81:[76, 55, 11], Operations: ['82-71=11'] Exploring Operation: 55/11=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 55/11=5 Current State: 81:[76, 5], Operations: ['82-71=11', '55/11=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 22, 54, 48, 59 ]
56
[ "59-48=11", "22/11=2", "54+2=56" ]
Current State: 56:[22, 54, 48, 59], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [22, 54, 11] Generated Node #2: [22, 54, 11] from Operation: 59-48=11 Current State: 56:[22, 54, 11], Operations: ['59-48=11'] Exploring Operation: 22/11=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 22/11=2 Current State: 56:[54, 2], Operations: ['59-48=11', '22/11=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 4, 28, 10 ]
13
[ "1+4=5", "28-10=18", "18-5=13" ]
Current State: 13:[1, 4, 28, 10], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [28, 10, 5] Generated Node #2: [28, 10, 5] from Operation: 1+4=5 Current State: 13:[28, 10, 5], Operations: ['1+4=5'] Exploring Operation: 28-10=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 28-10=18 Current State: 13:[5, 18], Operations: ['1+4=5', '28-10=18'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 77, 45, 37 ]
63
[ "5*37=185", "77+45=122", "185-122=63" ]
Current State: 63:[5, 77, 45, 37], Operations: [] Exploring Operation: 5*37=185, Resulting Numbers: [77, 45, 185] Generated Node #2: [77, 45, 185] from Operation: 5*37=185 Current State: 63:[77, 45, 185], Operations: ['5*37=185'] Exploring Operation: 77+45=122, Resulting Numbers: [185, 122] Generated Node #3: [185, 122] from Operation: 77+45=122 Current State: 63:[185, 122], Operations: ['5*37=185', '77+45=122'] Exploring Operation: 185-122=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 44, 14, 17 ]
33
[ "44-42=2", "14+17=31", "2+31=33" ]
Current State: 33:[42, 44, 14, 17], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [14, 17, 2] Generated Node #2: [14, 17, 2] from Operation: 44-42=2 Current State: 33:[14, 17, 2], Operations: ['44-42=2'] Exploring Operation: 14+17=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 14+17=31 Current State: 33:[2, 31], Operations: ['44-42=2', '14+17=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 58, 57, 9 ]
61
[ "6*9=54", "58+57=115", "115-54=61" ]
Current State: 61:[6, 58, 57, 9], Operations: [] Exploring Operation: 6*9=54, Resulting Numbers: [58, 57, 54] Generated Node #2: [58, 57, 54] from Operation: 6*9=54 Current State: 61:[58, 57, 54], Operations: ['6*9=54'] Exploring Operation: 58+57=115, Resulting Numbers: [54, 115] Generated Node #3: [54, 115] from Operation: 58+57=115 Current State: 61:[54, 115], Operations: ['6*9=54', '58+57=115'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 36, 30, 58, 21 ]
31
[ "36-30=6", "58-21=37", "37-6=31" ]
Current State: 31:[36, 30, 58, 21], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [58, 21, 6] Generated Node #2: [58, 21, 6] from Operation: 36-30=6 Current State: 31:[58, 21, 6], Operations: ['36-30=6'] Exploring Operation: 58-21=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 58-21=37 Current State: 31:[6, 37], Operations: ['36-30=6', '58-21=37'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 17, 82, 22, 66 ]
80
[ "22-17=5", "82-66=16", "5*16=80" ]
Current State: 80:[17, 82, 22, 66], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [82, 66, 5] Generated Node #2: [82, 66, 5] from Operation: 22-17=5 Current State: 80:[82, 66, 5], Operations: ['22-17=5'] Exploring Operation: 82-66=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 82-66=16 Current State: 80:[5, 16], Operations: ['22-17=5', '82-66=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 88, 98, 19 ]
17
[ "98-88=10", "10/5=2", "19-2=17" ]
Current State: 17:[5, 88, 98, 19], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [5, 19, 10] Generated Node #2: [5, 19, 10] from Operation: 98-88=10 Current State: 17:[5, 19, 10], Operations: ['98-88=10'] Exploring Operation: 10/5=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 10/5=2 Current State: 17:[19, 2], Operations: ['98-88=10', '10/5=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 78, 81, 30 ]
57
[ "90+78=168", "81+30=111", "168-111=57" ]
Current State: 57:[90, 78, 81, 30], Operations: [] Exploring Operation: 90+78=168, Resulting Numbers: [81, 30, 168] Generated Node #2: [81, 30, 168] from Operation: 90+78=168 Current State: 57:[81, 30, 168], Operations: ['90+78=168'] Exploring Operation: 81+30=111, Resulting Numbers: [168, 111] Generated Node #3: [168, 111] from Operation: 81+30=111 Current State: 57:[168, 111], Operations: ['90+78=168', '81+30=111'] Exploring Operation: 168-111=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 37, 7, 71, 52 ]
63
[ "37+7=44", "71-52=19", "44+19=63" ]
Current State: 63:[37, 7, 71, 52], Operations: [] Exploring Operation: 37+7=44, Resulting Numbers: [71, 52, 44] Generated Node #2: [71, 52, 44] from Operation: 37+7=44 Current State: 63:[71, 52, 44], Operations: ['37+7=44'] Exploring Operation: 71-52=19, Resulting Numbers: [44, 19] Generated Node #3: [44, 19] from Operation: 71-52=19 Current State: 63:[44, 19], Operations: ['37+7=44', '71-52=19'] Exploring Operation: 44+19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 75, 53, 1 ]
70
[ "49+75=124", "53+1=54", "124-54=70" ]
Current State: 70:[49, 75, 53, 1], Operations: [] Exploring Operation: 49+75=124, Resulting Numbers: [53, 1, 124] Generated Node #2: [53, 1, 124] from Operation: 49+75=124 Current State: 70:[53, 1, 124], Operations: ['49+75=124'] Exploring Operation: 53+1=54, Resulting Numbers: [124, 54] Generated Node #3: [124, 54] from Operation: 53+1=54 Current State: 70:[124, 54], Operations: ['49+75=124', '53+1=54'] Exploring Operation: 124-54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 26, 22, 80 ]
96
[ "26+22=48", "48/3=16", "80+16=96" ]
Current State: 96:[3, 26, 22, 80], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [3, 80, 48] Generated Node #2: [3, 80, 48] from Operation: 26+22=48 Current State: 96:[3, 80, 48], Operations: ['26+22=48'] Exploring Operation: 48/3=16, Resulting Numbers: [80, 16] Generated Node #3: [80, 16] from Operation: 48/3=16 Current State: 96:[80, 16], Operations: ['26+22=48', '48/3=16'] Exploring Operation: 80+16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 85, 67, 64 ]
96
[ "67-64=3", "33/3=11", "85+11=96" ]
Current State: 96:[33, 85, 67, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [33, 85, 3] Generated Node #2: [33, 85, 3] from Operation: 67-64=3 Current State: 96:[33, 85, 3], Operations: ['67-64=3'] Exploring Operation: 33/3=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 33/3=11 Current State: 96:[85, 11], Operations: ['67-64=3', '33/3=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 53, 8, 94 ]
69
[ "53-36=17", "94-8=86", "86-17=69" ]
Current State: 69:[36, 53, 8, 94], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [8, 94, 17] Generated Node #2: [8, 94, 17] from Operation: 53-36=17 Current State: 69:[8, 94, 17], Operations: ['53-36=17'] Exploring Operation: 94-8=86, Resulting Numbers: [17, 86] Generated Node #3: [17, 86] from Operation: 94-8=86 Current State: 69:[17, 86], Operations: ['53-36=17', '94-8=86'] Exploring Operation: 86-17=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 27, 44, 85, 9 ]
38
[ "27/9=3", "85-44=41", "41-3=38" ]
Current State: 38:[27, 44, 85, 9], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [44, 85, 3] Generated Node #2: [44, 85, 3] from Operation: 27/9=3 Current State: 38:[44, 85, 3], Operations: ['27/9=3'] Exploring Operation: 85-44=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 85-44=41 Current State: 38:[3, 41], Operations: ['27/9=3', '85-44=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 63, 96, 47, 57 ]
63
[ "63-47=16", "96/16=6", "57+6=63" ]
Current State: 63:[63, 96, 47, 57], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [96, 57, 16] Generated Node #2: [96, 57, 16] from Operation: 63-47=16 Current State: 63:[96, 57, 16], Operations: ['63-47=16'] Exploring Operation: 96/16=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 96/16=6 Current State: 63:[57, 6], Operations: ['63-47=16', '96/16=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 9, 91, 40 ]
55
[ "9+91=100", "22*100=2200", "2200/40=55" ]
Current State: 55:[22, 9, 91, 40], Operations: [] Exploring Operation: 9+91=100, Resulting Numbers: [22, 40, 100] Generated Node #2: [22, 40, 100] from Operation: 9+91=100 Current State: 55:[22, 40, 100], Operations: ['9+91=100'] Exploring Operation: 22*100=2200, Resulting Numbers: [40, 2200] Generated Node #3: [40, 2200] from Operation: 22*100=2200 Current State: 55:[40, 2200], Operations: ['9+91=100', '22*100=2200'] Exploring Operation: 2200/40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 92, 46, 87 ]
95
[ "10+87=97", "92/46=2", "97-2=95" ]
Current State: 95:[10, 92, 46, 87], Operations: [] Exploring Operation: 10+87=97, Resulting Numbers: [92, 46, 97] Generated Node #2: [92, 46, 97] from Operation: 10+87=97 Current State: 95:[92, 46, 97], Operations: ['10+87=97'] Exploring Operation: 92/46=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 92/46=2 Current State: 95:[97, 2], Operations: ['10+87=97', '92/46=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 86, 3, 16 ]
94
[ "3-1=2", "16/2=8", "86+8=94" ]
Current State: 94:[1, 86, 3, 16], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [86, 16, 2] Generated Node #2: [86, 16, 2] from Operation: 3-1=2 Current State: 94:[86, 16, 2], Operations: ['3-1=2'] Exploring Operation: 16/2=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 16/2=8 Current State: 94:[86, 8], Operations: ['3-1=2', '16/2=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 55, 9, 63, 80 ]
79
[ "55+9=64", "63+80=143", "143-64=79" ]
Current State: 79:[55, 9, 63, 80], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [63, 80, 64] Generated Node #2: [63, 80, 64] from Operation: 55+9=64 Current State: 79:[63, 80, 64], Operations: ['55+9=64'] Exploring Operation: 63+80=143, Resulting Numbers: [64, 143] Generated Node #3: [64, 143] from Operation: 63+80=143 Current State: 79:[64, 143], Operations: ['55+9=64', '63+80=143'] Exploring Operation: 143-64=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 68, 96, 75, 93 ]
93
[ "93-68=25", "75/25=3", "96-3=93" ]
Current State: 93:[68, 96, 75, 93], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [96, 75, 25] Generated Node #2: [96, 75, 25] from Operation: 93-68=25 Current State: 93:[96, 75, 25], Operations: ['93-68=25'] Exploring Operation: 75/25=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 75/25=3 Current State: 93:[96, 3], Operations: ['93-68=25', '75/25=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 61, 68, 5, 36 ]
33
[ "61+68=129", "36+129=165", "165/5=33" ]
Current State: 33:[61, 68, 5, 36], Operations: [] Exploring Operation: 61+68=129, Resulting Numbers: [5, 36, 129] Generated Node #2: [5, 36, 129] from Operation: 61+68=129 Current State: 33:[5, 36, 129], Operations: ['61+68=129'] Exploring Operation: 36+129=165, Resulting Numbers: [5, 165] Generated Node #3: [5, 165] from Operation: 36+129=165 Current State: 33:[5, 165], Operations: ['61+68=129', '36+129=165'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 27, 13, 21, 41 ]
60
[ "27+13=40", "41-21=20", "40+20=60" ]
Current State: 60:[27, 13, 21, 41], Operations: [] Exploring Operation: 27+13=40, Resulting Numbers: [21, 41, 40] Generated Node #2: [21, 41, 40] from Operation: 27+13=40 Current State: 60:[21, 41, 40], Operations: ['27+13=40'] Exploring Operation: 41-21=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 41-21=20 Current State: 60:[40, 20], Operations: ['27+13=40', '41-21=20'] Exploring Operation: 40+20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 97, 3, 57, 7 ]
49
[ "97+57=154", "154-7=147", "147/3=49" ]
Current State: 49:[97, 3, 57, 7], Operations: [] Exploring Operation: 97+57=154, Resulting Numbers: [3, 7, 154] Generated Node #2: [3, 7, 154] from Operation: 97+57=154 Current State: 49:[3, 7, 154], Operations: ['97+57=154'] Exploring Operation: 154-7=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 154-7=147 Current State: 49:[3, 147], Operations: ['97+57=154', '154-7=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 14, 80, 63 ]
49
[ "18+14=32", "80-63=17", "32+17=49" ]
Current State: 49:[18, 14, 80, 63], Operations: [] Exploring Operation: 18+14=32, Resulting Numbers: [80, 63, 32] Generated Node #2: [80, 63, 32] from Operation: 18+14=32 Current State: 49:[80, 63, 32], Operations: ['18+14=32'] Exploring Operation: 80-63=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 80-63=17 Current State: 49:[32, 17], Operations: ['18+14=32', '80-63=17'] Exploring Operation: 32+17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 52, 91, 59, 13 ]
36
[ "52/13=4", "91-59=32", "4+32=36" ]
Current State: 36:[52, 91, 59, 13], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [91, 59, 4] Generated Node #2: [91, 59, 4] from Operation: 52/13=4 Current State: 36:[91, 59, 4], Operations: ['52/13=4'] Exploring Operation: 91-59=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 91-59=32 Current State: 36:[4, 32], Operations: ['52/13=4', '91-59=32'] Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 67, 3, 46 ]
35
[ "46-44=2", "67+3=70", "70/2=35" ]
Current State: 35:[44, 67, 3, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [67, 3, 2] Generated Node #2: [67, 3, 2] from Operation: 46-44=2 Current State: 35:[67, 3, 2], Operations: ['46-44=2'] Exploring Operation: 67+3=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 67+3=70 Current State: 35:[2, 70], Operations: ['46-44=2', '67+3=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 93, 20, 21, 17 ]
88
[ "21-17=4", "20/4=5", "93-5=88" ]
Current State: 88:[93, 20, 21, 17], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [93, 20, 4] Generated Node #2: [93, 20, 4] from Operation: 21-17=4 Current State: 88:[93, 20, 4], Operations: ['21-17=4'] Exploring Operation: 20/4=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 20/4=5 Current State: 88:[93, 5], Operations: ['21-17=4', '20/4=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 34, 73, 34, 99 ]
99
[ "34-34=0", "73*0=0", "99+0=99" ]
Current State: 99:[34, 73, 34, 99], Operations: [] Exploring Operation: 34-34=0, Resulting Numbers: [73, 99, 0] Generated Node #2: [73, 99, 0] from Operation: 34-34=0 Current State: 99:[73, 99, 0], Operations: ['34-34=0'] Exploring Operation: 73*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 73*0=0 Current State: 99:[99, 0], Operations: ['34-34=0', '73*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 50, 29, 44, 3 ]
26
[ "50-29=21", "44+3=47", "47-21=26" ]
Current State: 26:[50, 29, 44, 3], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [44, 3, 21] Generated Node #2: [44, 3, 21] from Operation: 50-29=21 Current State: 26:[44, 3, 21], Operations: ['50-29=21'] Exploring Operation: 44+3=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 44+3=47 Current State: 26:[21, 47], Operations: ['50-29=21', '44+3=47'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 16, 6, 72, 10 ]
17
[ "6*72=432", "432/16=27", "27-10=17" ]
Current State: 17:[16, 6, 72, 10], Operations: [] Exploring Operation: 6*72=432, Resulting Numbers: [16, 10, 432] Generated Node #2: [16, 10, 432] from Operation: 6*72=432 Current State: 17:[16, 10, 432], Operations: ['6*72=432'] Exploring Operation: 432/16=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 432/16=27 Current State: 17:[10, 27], Operations: ['6*72=432', '432/16=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 46, 84, 3, 77 ]
95
[ "46+77=123", "84/3=28", "123-28=95" ]
Current State: 95:[46, 84, 3, 77], Operations: [] Exploring Operation: 46+77=123, Resulting Numbers: [84, 3, 123] Generated Node #2: [84, 3, 123] from Operation: 46+77=123 Current State: 95:[84, 3, 123], Operations: ['46+77=123'] Exploring Operation: 84/3=28, Resulting Numbers: [123, 28] Generated Node #3: [123, 28] from Operation: 84/3=28 Current State: 95:[123, 28], Operations: ['46+77=123', '84/3=28'] Exploring Operation: 123-28=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 35, 77, 54, 32 ]
42
[ "35*54=1890", "77-32=45", "1890/45=42" ]
Current State: 42:[35, 77, 54, 32], Operations: [] Exploring Operation: 35*54=1890, Resulting Numbers: [77, 32, 1890] Generated Node #2: [77, 32, 1890] from Operation: 35*54=1890 Current State: 42:[77, 32, 1890], Operations: ['35*54=1890'] Exploring Operation: 77-32=45, Resulting Numbers: [1890, 45] Generated Node #3: [1890, 45] from Operation: 77-32=45 Current State: 42:[1890, 45], Operations: ['35*54=1890', '77-32=45'] Exploring Operation: 1890/45=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 52, 40, 36 ]
50
[ "57*36=2052", "2052-52=2000", "2000/40=50" ]
Current State: 50:[57, 52, 40, 36], Operations: [] Exploring Operation: 57*36=2052, Resulting Numbers: [52, 40, 2052] Generated Node #2: [52, 40, 2052] from Operation: 57*36=2052 Current State: 50:[52, 40, 2052], Operations: ['57*36=2052'] Exploring Operation: 2052-52=2000, Resulting Numbers: [40, 2000] Generated Node #3: [40, 2000] from Operation: 2052-52=2000 Current State: 50:[40, 2000], Operations: ['57*36=2052', '2052-52=2000'] Exploring Operation: 2000/40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 18, 34, 54 ]
60
[ "34-14=20", "54/18=3", "20*3=60" ]
Current State: 60:[14, 18, 34, 54], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [18, 54, 20] Generated Node #2: [18, 54, 20] from Operation: 34-14=20 Current State: 60:[18, 54, 20], Operations: ['34-14=20'] Exploring Operation: 54/18=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 54/18=3 Current State: 60:[20, 3], Operations: ['34-14=20', '54/18=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 69, 2, 10 ]
100
[ "42/2=21", "69+10=79", "21+79=100" ]
Current State: 100:[42, 69, 2, 10], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [69, 10, 21] Generated Node #2: [69, 10, 21] from Operation: 42/2=21 Current State: 100:[69, 10, 21], Operations: ['42/2=21'] Exploring Operation: 69+10=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 69+10=79 Current State: 100:[21, 79], Operations: ['42/2=21', '69+10=79'] Exploring Operation: 21+79=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 34, 79, 12, 38 ]
85
[ "34+38=72", "72/12=6", "79+6=85" ]
Current State: 85:[34, 79, 12, 38], Operations: [] Exploring Operation: 34+38=72, Resulting Numbers: [79, 12, 72] Generated Node #2: [79, 12, 72] from Operation: 34+38=72 Current State: 85:[79, 12, 72], Operations: ['34+38=72'] Exploring Operation: 72/12=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 72/12=6 Current State: 85:[79, 6], Operations: ['34+38=72', '72/12=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 56, 94, 15 ]
71
[ "56-45=11", "15*11=165", "165-94=71" ]
Current State: 71:[45, 56, 94, 15], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [94, 15, 11] Generated Node #2: [94, 15, 11] from Operation: 56-45=11 Current State: 71:[94, 15, 11], Operations: ['56-45=11'] Exploring Operation: 15*11=165, Resulting Numbers: [94, 165] Generated Node #3: [94, 165] from Operation: 15*11=165 Current State: 71:[94, 165], Operations: ['56-45=11', '15*11=165'] Exploring Operation: 165-94=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 5, 28, 86 ]
99
[ "9+28=37", "5*37=185", "185-86=99" ]
Current State: 99:[9, 5, 28, 86], Operations: [] Exploring Operation: 9+28=37, Resulting Numbers: [5, 86, 37] Generated Node #2: [5, 86, 37] from Operation: 9+28=37 Current State: 99:[5, 86, 37], Operations: ['9+28=37'] Exploring Operation: 5*37=185, Resulting Numbers: [86, 185] Generated Node #3: [86, 185] from Operation: 5*37=185 Current State: 99:[86, 185], Operations: ['9+28=37', '5*37=185'] Exploring Operation: 185-86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 56, 11, 7, 41 ]
28
[ "56-11=45", "45-41=4", "7*4=28" ]
Current State: 28:[56, 11, 7, 41], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [7, 41, 45] Generated Node #2: [7, 41, 45] from Operation: 56-11=45 Current State: 28:[7, 41, 45], Operations: ['56-11=45'] Exploring Operation: 45-41=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 45-41=4 Current State: 28:[7, 4], Operations: ['56-11=45', '45-41=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 83, 35, 74 ]
96
[ "74-72=2", "83-35=48", "2*48=96" ]
Current State: 96:[72, 83, 35, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [83, 35, 2] Generated Node #2: [83, 35, 2] from Operation: 74-72=2 Current State: 96:[83, 35, 2], Operations: ['74-72=2'] Exploring Operation: 83-35=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 83-35=48 Current State: 96:[2, 48], Operations: ['74-72=2', '83-35=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 52, 10, 36 ]
91
[ "52-7=45", "10+36=46", "45+46=91" ]
Current State: 91:[7, 52, 10, 36], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [10, 36, 45] Generated Node #2: [10, 36, 45] from Operation: 52-7=45 Current State: 91:[10, 36, 45], Operations: ['52-7=45'] Exploring Operation: 10+36=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 10+36=46 Current State: 91:[45, 46], Operations: ['52-7=45', '10+36=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 70, 6, 7, 36 ]
64
[ "70+36=106", "6*7=42", "106-42=64" ]
Current State: 64:[70, 6, 7, 36], Operations: [] Exploring Operation: 70+36=106, Resulting Numbers: [6, 7, 106] Generated Node #2: [6, 7, 106] from Operation: 70+36=106 Current State: 64:[6, 7, 106], Operations: ['70+36=106'] Exploring Operation: 6*7=42, Resulting Numbers: [106, 42] Generated Node #3: [106, 42] from Operation: 6*7=42 Current State: 64:[106, 42], Operations: ['70+36=106', '6*7=42'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 55, 2, 73 ]
60
[ "73-55=18", "18/2=9", "69-9=60" ]
Current State: 60:[69, 55, 2, 73], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [69, 2, 18] Generated Node #2: [69, 2, 18] from Operation: 73-55=18 Current State: 60:[69, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 18/2=9 Current State: 60:[69, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 69-9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4