nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 40, 4, 20, 88 ]
13
[ "20+88=108", "108/4=27", "40-27=13" ]
Current State: 13:[40, 4, 20, 88], Operations: [] Exploring Operation: 20+88=108, Resulting Numbers: [40, 4, 108] Generated Node #2: [40, 4, 108] from Operation: 20+88=108 Current State: 13:[40, 4, 108], Operations: ['20+88=108'] Exploring Operation: 108/4=27, Resulting Numbers: [40, 27] Generated Node #3: [40, 27] from Operation: 108/4=27 Current State: 13:[40, 27], Operations: ['20+88=108', '108/4=27'] Exploring Operation: 40-27=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 72, 7, 63, 6 ]
10
[ "72+7=79", "63+6=69", "79-69=10" ]
Current State: 10:[72, 7, 63, 6], Operations: [] Exploring Operation: 72+7=79, Resulting Numbers: [63, 6, 79] Generated Node #2: [63, 6, 79] from Operation: 72+7=79 Current State: 10:[63, 6, 79], Operations: ['72+7=79'] Exploring Operation: 63+6=69, Resulting Numbers: [79, 69] Generated Node #3: [79, 69] from Operation: 63+6=69 Current State: 10:[79, 69], Operations: ['72+7=79', '63+6=69'] Exploring Operation: 79-69=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 38, 30, 41 ]
36
[ "38-30=8", "40/8=5", "41-5=36" ]
Current State: 36:[40, 38, 30, 41], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [40, 41, 8] Generated Node #2: [40, 41, 8] from Operation: 38-30=8 Current State: 36:[40, 41, 8], Operations: ['38-30=8'] Exploring Operation: 40/8=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 40/8=5 Current State: 36:[41, 5], Operations: ['38-30=8', '40/8=5'] Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 73, 8, 94, 96 ]
63
[ "73-8=65", "96-94=2", "65-2=63" ]
Current State: 63:[73, 8, 94, 96], Operations: [] Exploring Operation: 73-8=65, Resulting Numbers: [94, 96, 65] Generated Node #2: [94, 96, 65] from Operation: 73-8=65 Current State: 63:[94, 96, 65], Operations: ['73-8=65'] Exploring Operation: 96-94=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 96-94=2 Current State: 63:[65, 2], Operations: ['73-8=65', '96-94=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 58, 53, 15 ]
94
[ "58-53=5", "15*5=75", "19+75=94" ]
Current State: 94:[19, 58, 53, 15], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [19, 15, 5] Generated Node #2: [19, 15, 5] from Operation: 58-53=5 Current State: 94:[19, 15, 5], Operations: ['58-53=5'] Exploring Operation: 15*5=75, Resulting Numbers: [19, 75] Generated Node #3: [19, 75] from Operation: 15*5=75 Current State: 94:[19, 75], Operations: ['58-53=5', '15*5=75'] Exploring Operation: 19+75=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 77, 62, 98, 25 ]
88
[ "77-62=15", "98-25=73", "15+73=88" ]
Current State: 88:[77, 62, 98, 25], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [98, 25, 15] Generated Node #2: [98, 25, 15] from Operation: 77-62=15 Current State: 88:[98, 25, 15], Operations: ['77-62=15'] Exploring Operation: 98-25=73, Resulting Numbers: [15, 73] Generated Node #3: [15, 73] from Operation: 98-25=73 Current State: 88:[15, 73], Operations: ['77-62=15', '98-25=73'] Exploring Operation: 15+73=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 6, 91, 37 ]
21
[ "91-2=89", "37+89=126", "126/6=21" ]
Current State: 21:[2, 6, 91, 37], Operations: [] Exploring Operation: 91-2=89, Resulting Numbers: [6, 37, 89] Generated Node #2: [6, 37, 89] from Operation: 91-2=89 Current State: 21:[6, 37, 89], Operations: ['91-2=89'] Exploring Operation: 37+89=126, Resulting Numbers: [6, 126] Generated Node #3: [6, 126] from Operation: 37+89=126 Current State: 21:[6, 126], Operations: ['91-2=89', '37+89=126'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 70, 78, 77 ]
79
[ "6+70=76", "78+77=155", "155-76=79" ]
Current State: 79:[6, 70, 78, 77], Operations: [] Exploring Operation: 6+70=76, Resulting Numbers: [78, 77, 76] Generated Node #2: [78, 77, 76] from Operation: 6+70=76 Current State: 79:[78, 77, 76], Operations: ['6+70=76'] Exploring Operation: 78+77=155, Resulting Numbers: [76, 155] Generated Node #3: [76, 155] from Operation: 78+77=155 Current State: 79:[76, 155], Operations: ['6+70=76', '78+77=155'] Exploring Operation: 155-76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 45, 75, 3 ]
87
[ "45/5=9", "75+3=78", "9+78=87" ]
Current State: 87:[5, 45, 75, 3], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [75, 3, 9] Generated Node #2: [75, 3, 9] from Operation: 45/5=9 Current State: 87:[75, 3, 9], Operations: ['45/5=9'] Exploring Operation: 75+3=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 75+3=78 Current State: 87:[9, 78], Operations: ['45/5=9', '75+3=78'] Exploring Operation: 9+78=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 85, 88, 20, 64 ]
80
[ "85*64=5440", "88-20=68", "5440/68=80" ]
Current State: 80:[85, 88, 20, 64], Operations: [] Exploring Operation: 85*64=5440, Resulting Numbers: [88, 20, 5440] Generated Node #2: [88, 20, 5440] from Operation: 85*64=5440 Current State: 80:[88, 20, 5440], Operations: ['85*64=5440'] Exploring Operation: 88-20=68, Resulting Numbers: [5440, 68] Generated Node #3: [5440, 68] from Operation: 88-20=68 Current State: 80:[5440, 68], Operations: ['85*64=5440', '88-20=68'] Exploring Operation: 5440/68=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 17, 7, 33 ]
78
[ "9*17=153", "7*33=231", "231-153=78" ]
Current State: 78:[9, 17, 7, 33], Operations: [] Exploring Operation: 9*17=153, Resulting Numbers: [7, 33, 153] Generated Node #2: [7, 33, 153] from Operation: 9*17=153 Current State: 78:[7, 33, 153], Operations: ['9*17=153'] Exploring Operation: 7*33=231, Resulting Numbers: [153, 231] Generated Node #3: [153, 231] from Operation: 7*33=231 Current State: 78:[153, 231], Operations: ['9*17=153', '7*33=231'] Exploring Operation: 231-153=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 49, 3, 74, 63 ]
12
[ "74-49=25", "3*25=75", "75-63=12" ]
Current State: 12:[49, 3, 74, 63], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [3, 63, 25] Generated Node #2: [3, 63, 25] from Operation: 74-49=25 Current State: 12:[3, 63, 25], Operations: ['74-49=25'] Exploring Operation: 3*25=75, Resulting Numbers: [63, 75] Generated Node #3: [63, 75] from Operation: 3*25=75 Current State: 12:[63, 75], Operations: ['74-49=25', '3*25=75'] Exploring Operation: 75-63=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 30, 49, 41 ]
63
[ "49+41=90", "90/30=3", "60+3=63" ]
Current State: 63:[60, 30, 49, 41], Operations: [] Exploring Operation: 49+41=90, Resulting Numbers: [60, 30, 90] Generated Node #2: [60, 30, 90] from Operation: 49+41=90 Current State: 63:[60, 30, 90], Operations: ['49+41=90'] Exploring Operation: 90/30=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 90/30=3 Current State: 63:[60, 3], Operations: ['49+41=90', '90/30=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 79, 65, 85, 82 ]
84
[ "82-65=17", "85/17=5", "79+5=84" ]
Current State: 84:[79, 65, 85, 82], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [79, 85, 17] Generated Node #2: [79, 85, 17] from Operation: 82-65=17 Current State: 84:[79, 85, 17], Operations: ['82-65=17'] Exploring Operation: 85/17=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 85/17=5 Current State: 84:[79, 5], Operations: ['82-65=17', '85/17=5'] Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 86, 47, 83, 94 ]
50
[ "86-47=39", "94-83=11", "39+11=50" ]
Current State: 50:[86, 47, 83, 94], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [83, 94, 39] Generated Node #2: [83, 94, 39] from Operation: 86-47=39 Current State: 50:[83, 94, 39], Operations: ['86-47=39'] Exploring Operation: 94-83=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 94-83=11 Current State: 50:[39, 11], Operations: ['86-47=39', '94-83=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 12, 28, 49 ]
63
[ "56/28=2", "12+49=61", "2+61=63" ]
Current State: 63:[56, 12, 28, 49], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [12, 49, 2] Generated Node #2: [12, 49, 2] from Operation: 56/28=2 Current State: 63:[12, 49, 2], Operations: ['56/28=2'] Exploring Operation: 12+49=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 12+49=61 Current State: 63:[2, 61], Operations: ['56/28=2', '12+49=61'] Exploring Operation: 2+61=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 60, 15, 26 ]
29
[ "60/5=12", "15+26=41", "41-12=29" ]
Current State: 29:[5, 60, 15, 26], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [15, 26, 12] Generated Node #2: [15, 26, 12] from Operation: 60/5=12 Current State: 29:[15, 26, 12], Operations: ['60/5=12'] Exploring Operation: 15+26=41, Resulting Numbers: [12, 41] Generated Node #3: [12, 41] from Operation: 15+26=41 Current State: 29:[12, 41], Operations: ['60/5=12', '15+26=41'] Exploring Operation: 41-12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 93, 88, 69, 16 ]
48
[ "93-88=5", "69-16=53", "53-5=48" ]
Current State: 48:[93, 88, 69, 16], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [69, 16, 5] Generated Node #2: [69, 16, 5] from Operation: 93-88=5 Current State: 48:[69, 16, 5], Operations: ['93-88=5'] Exploring Operation: 69-16=53, Resulting Numbers: [5, 53] Generated Node #3: [5, 53] from Operation: 69-16=53 Current State: 48:[5, 53], Operations: ['93-88=5', '69-16=53'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 16, 77, 77, 53 ]
53
[ "77-77=0", "16*0=0", "53+0=53" ]
Current State: 53:[16, 77, 77, 53], Operations: [] Exploring Operation: 77-77=0, Resulting Numbers: [16, 53, 0] Generated Node #2: [16, 53, 0] from Operation: 77-77=0 Current State: 53:[16, 53, 0], Operations: ['77-77=0'] Exploring Operation: 16*0=0, Resulting Numbers: [53, 0] Generated Node #3: [53, 0] from Operation: 16*0=0 Current State: 53:[53, 0], Operations: ['77-77=0', '16*0=0'] Exploring Operation: 53+0=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 13, 54, 1 ]
79
[ "12+13=25", "54*1=54", "25+54=79" ]
Current State: 79:[12, 13, 54, 1], Operations: [] Exploring Operation: 12+13=25, Resulting Numbers: [54, 1, 25] Generated Node #2: [54, 1, 25] from Operation: 12+13=25 Current State: 79:[54, 1, 25], Operations: ['12+13=25'] Exploring Operation: 54*1=54, Resulting Numbers: [25, 54] Generated Node #3: [25, 54] from Operation: 54*1=54 Current State: 79:[25, 54], Operations: ['12+13=25', '54*1=54'] Exploring Operation: 25+54=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 28, 66, 83 ]
37
[ "4*28=112", "66+83=149", "149-112=37" ]
Current State: 37:[4, 28, 66, 83], Operations: [] Exploring Operation: 4*28=112, Resulting Numbers: [66, 83, 112] Generated Node #2: [66, 83, 112] from Operation: 4*28=112 Current State: 37:[66, 83, 112], Operations: ['4*28=112'] Exploring Operation: 66+83=149, Resulting Numbers: [112, 149] Generated Node #3: [112, 149] from Operation: 66+83=149 Current State: 37:[112, 149], Operations: ['4*28=112', '66+83=149'] Exploring Operation: 149-112=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 23, 26, 82 ]
52
[ "57+23=80", "82-80=2", "26*2=52" ]
Current State: 52:[57, 23, 26, 82], Operations: [] Exploring Operation: 57+23=80, Resulting Numbers: [26, 82, 80] Generated Node #2: [26, 82, 80] from Operation: 57+23=80 Current State: 52:[26, 82, 80], Operations: ['57+23=80'] Exploring Operation: 82-80=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 82-80=2 Current State: 52:[26, 2], Operations: ['57+23=80', '82-80=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 40, 26, 32 ]
84
[ "40/20=2", "26*2=52", "32+52=84" ]
Current State: 84:[20, 40, 26, 32], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [26, 32, 2] Generated Node #2: [26, 32, 2] from Operation: 40/20=2 Current State: 84:[26, 32, 2], Operations: ['40/20=2'] Exploring Operation: 26*2=52, Resulting Numbers: [32, 52] Generated Node #3: [32, 52] from Operation: 26*2=52 Current State: 84:[32, 52], Operations: ['40/20=2', '26*2=52'] Exploring Operation: 32+52=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 27, 33, 67, 26 ]
34
[ "27-26=1", "67-33=34", "1*34=34" ]
Current State: 34:[27, 33, 67, 26], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [33, 67, 1] Generated Node #2: [33, 67, 1] from Operation: 27-26=1 Current State: 34:[33, 67, 1], Operations: ['27-26=1'] Exploring Operation: 67-33=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 67-33=34 Current State: 34:[1, 34], Operations: ['27-26=1', '67-33=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 12, 4, 23, 45 ]
35
[ "12+45=57", "4*23=92", "92-57=35" ]
Current State: 35:[12, 4, 23, 45], Operations: [] Exploring Operation: 12+45=57, Resulting Numbers: [4, 23, 57] Generated Node #2: [4, 23, 57] from Operation: 12+45=57 Current State: 35:[4, 23, 57], Operations: ['12+45=57'] Exploring Operation: 4*23=92, Resulting Numbers: [57, 92] Generated Node #3: [57, 92] from Operation: 4*23=92 Current State: 35:[57, 92], Operations: ['12+45=57', '4*23=92'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 65, 92, 26, 12 ]
32
[ "92-12=80", "26*80=2080", "2080/65=32" ]
Current State: 32:[65, 92, 26, 12], Operations: [] Exploring Operation: 92-12=80, Resulting Numbers: [65, 26, 80] Generated Node #2: [65, 26, 80] from Operation: 92-12=80 Current State: 32:[65, 26, 80], Operations: ['92-12=80'] Exploring Operation: 26*80=2080, Resulting Numbers: [65, 2080] Generated Node #3: [65, 2080] from Operation: 26*80=2080 Current State: 32:[65, 2080], Operations: ['92-12=80', '26*80=2080'] Exploring Operation: 2080/65=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 69, 11, 25, 64 ]
41
[ "69+11=80", "64-25=39", "80-39=41" ]
Current State: 41:[69, 11, 25, 64], Operations: [] Exploring Operation: 69+11=80, Resulting Numbers: [25, 64, 80] Generated Node #2: [25, 64, 80] from Operation: 69+11=80 Current State: 41:[25, 64, 80], Operations: ['69+11=80'] Exploring Operation: 64-25=39, Resulting Numbers: [80, 39] Generated Node #3: [80, 39] from Operation: 64-25=39 Current State: 41:[80, 39], Operations: ['69+11=80', '64-25=39'] Exploring Operation: 80-39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 62, 31, 44, 17 ]
31
[ "62-44=18", "18-17=1", "31*1=31" ]
Current State: 31:[62, 31, 44, 17], Operations: [] Exploring Operation: 62-44=18, Resulting Numbers: [31, 17, 18] Generated Node #2: [31, 17, 18] from Operation: 62-44=18 Current State: 31:[31, 17, 18], Operations: ['62-44=18'] Exploring Operation: 18-17=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 18-17=1 Current State: 31:[31, 1], Operations: ['62-44=18', '18-17=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 11, 39, 19 ]
41
[ "10+11=21", "39-19=20", "21+20=41" ]
Current State: 41:[10, 11, 39, 19], Operations: [] Exploring Operation: 10+11=21, Resulting Numbers: [39, 19, 21] Generated Node #2: [39, 19, 21] from Operation: 10+11=21 Current State: 41:[39, 19, 21], Operations: ['10+11=21'] Exploring Operation: 39-19=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 39-19=20 Current State: 41:[21, 20], Operations: ['10+11=21', '39-19=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 1, 59, 27 ]
34
[ "1+1=2", "59-27=32", "2+32=34" ]
Current State: 34:[1, 1, 59, 27], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [59, 27, 2] Generated Node #2: [59, 27, 2] from Operation: 1+1=2 Current State: 34:[59, 27, 2], Operations: ['1+1=2'] Exploring Operation: 59-27=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 59-27=32 Current State: 34:[2, 32], Operations: ['1+1=2', '59-27=32'] Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 12, 64, 59, 22 ]
15
[ "64-12=52", "59-22=37", "52-37=15" ]
Current State: 15:[12, 64, 59, 22], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [59, 22, 52] Generated Node #2: [59, 22, 52] from Operation: 64-12=52 Current State: 15:[59, 22, 52], Operations: ['64-12=52'] Exploring Operation: 59-22=37, Resulting Numbers: [52, 37] Generated Node #3: [52, 37] from Operation: 59-22=37 Current State: 15:[52, 37], Operations: ['64-12=52', '59-22=37'] Exploring Operation: 52-37=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 49, 89, 6, 2 ]
66
[ "49+89=138", "138-6=132", "132/2=66" ]
Current State: 66:[49, 89, 6, 2], Operations: [] Exploring Operation: 49+89=138, Resulting Numbers: [6, 2, 138] Generated Node #2: [6, 2, 138] from Operation: 49+89=138 Current State: 66:[6, 2, 138], Operations: ['49+89=138'] Exploring Operation: 138-6=132, Resulting Numbers: [2, 132] Generated Node #3: [2, 132] from Operation: 138-6=132 Current State: 66:[2, 132], Operations: ['49+89=138', '138-6=132'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 54, 95, 59, 14 ]
33
[ "59-54=5", "95/5=19", "14+19=33" ]
Current State: 33:[54, 95, 59, 14], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [95, 14, 5] Generated Node #2: [95, 14, 5] from Operation: 59-54=5 Current State: 33:[95, 14, 5], Operations: ['59-54=5'] Exploring Operation: 95/5=19, Resulting Numbers: [14, 19] Generated Node #3: [14, 19] from Operation: 95/5=19 Current State: 33:[14, 19], Operations: ['59-54=5', '95/5=19'] Exploring Operation: 14+19=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 47, 84, 10, 15 ]
30
[ "84+10=94", "94/47=2", "15*2=30" ]
Current State: 30:[47, 84, 10, 15], Operations: [] Exploring Operation: 84+10=94, Resulting Numbers: [47, 15, 94] Generated Node #2: [47, 15, 94] from Operation: 84+10=94 Current State: 30:[47, 15, 94], Operations: ['84+10=94'] Exploring Operation: 94/47=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 94/47=2 Current State: 30:[15, 2], Operations: ['84+10=94', '94/47=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 81, 25, 77, 44 ]
23
[ "81-25=56", "77-44=33", "56-33=23" ]
Current State: 23:[81, 25, 77, 44], Operations: [] Exploring Operation: 81-25=56, Resulting Numbers: [77, 44, 56] Generated Node #2: [77, 44, 56] from Operation: 81-25=56 Current State: 23:[77, 44, 56], Operations: ['81-25=56'] Exploring Operation: 77-44=33, Resulting Numbers: [56, 33] Generated Node #3: [56, 33] from Operation: 77-44=33 Current State: 23:[56, 33], Operations: ['81-25=56', '77-44=33'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 47, 73, 18 ]
13
[ "47-40=7", "73+18=91", "91/7=13" ]
Current State: 13:[40, 47, 73, 18], Operations: [] Exploring Operation: 47-40=7, Resulting Numbers: [73, 18, 7] Generated Node #2: [73, 18, 7] from Operation: 47-40=7 Current State: 13:[73, 18, 7], Operations: ['47-40=7'] Exploring Operation: 73+18=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 73+18=91 Current State: 13:[7, 91], Operations: ['47-40=7', '73+18=91'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 42, 58, 10, 54 ]
62
[ "54-42=12", "10*12=120", "120-58=62" ]
Current State: 62:[42, 58, 10, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [58, 10, 12] Generated Node #2: [58, 10, 12] from Operation: 54-42=12 Current State: 62:[58, 10, 12], Operations: ['54-42=12'] Exploring Operation: 10*12=120, Resulting Numbers: [58, 120] Generated Node #3: [58, 120] from Operation: 10*12=120 Current State: 62:[58, 120], Operations: ['54-42=12', '10*12=120'] Exploring Operation: 120-58=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 82, 91, 5, 88 ]
67
[ "91-88=3", "5*3=15", "82-15=67" ]
Current State: 67:[82, 91, 5, 88], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [82, 5, 3] Generated Node #2: [82, 5, 3] from Operation: 91-88=3 Current State: 67:[82, 5, 3], Operations: ['91-88=3'] Exploring Operation: 5*3=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 5*3=15 Current State: 67:[82, 15], Operations: ['91-88=3', '5*3=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 6, 73, 19 ]
26
[ "73-31=42", "42/6=7", "19+7=26" ]
Current State: 26:[31, 6, 73, 19], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [6, 19, 42] Generated Node #2: [6, 19, 42] from Operation: 73-31=42 Current State: 26:[6, 19, 42], Operations: ['73-31=42'] Exploring Operation: 42/6=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 42/6=7 Current State: 26:[19, 7], Operations: ['73-31=42', '42/6=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 92, 68, 16 ]
56
[ "69*16=1104", "1104/92=12", "68-12=56" ]
Current State: 56:[69, 92, 68, 16], Operations: [] Exploring Operation: 69*16=1104, Resulting Numbers: [92, 68, 1104] Generated Node #2: [92, 68, 1104] from Operation: 69*16=1104 Current State: 56:[92, 68, 1104], Operations: ['69*16=1104'] Exploring Operation: 1104/92=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 1104/92=12 Current State: 56:[68, 12], Operations: ['69*16=1104', '1104/92=12'] Exploring Operation: 68-12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 19, 6, 79 ]
91
[ "19-1=18", "79-6=73", "18+73=91" ]
Current State: 91:[1, 19, 6, 79], Operations: [] Exploring Operation: 19-1=18, Resulting Numbers: [6, 79, 18] Generated Node #2: [6, 79, 18] from Operation: 19-1=18 Current State: 91:[6, 79, 18], Operations: ['19-1=18'] Exploring Operation: 79-6=73, Resulting Numbers: [18, 73] Generated Node #3: [18, 73] from Operation: 79-6=73 Current State: 91:[18, 73], Operations: ['19-1=18', '79-6=73'] Exploring Operation: 18+73=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 59, 4, 78 ]
35
[ "59-12=47", "4+78=82", "82-47=35" ]
Current State: 35:[12, 59, 4, 78], Operations: [] Exploring Operation: 59-12=47, Resulting Numbers: [4, 78, 47] Generated Node #2: [4, 78, 47] from Operation: 59-12=47 Current State: 35:[4, 78, 47], Operations: ['59-12=47'] Exploring Operation: 4+78=82, Resulting Numbers: [47, 82] Generated Node #3: [47, 82] from Operation: 4+78=82 Current State: 35:[47, 82], Operations: ['59-12=47', '4+78=82'] Exploring Operation: 82-47=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 54, 71, 55, 7 ]
10
[ "54+71=125", "125-55=70", "70/7=10" ]
Current State: 10:[54, 71, 55, 7], Operations: [] Exploring Operation: 54+71=125, Resulting Numbers: [55, 7, 125] Generated Node #2: [55, 7, 125] from Operation: 54+71=125 Current State: 10:[55, 7, 125], Operations: ['54+71=125'] Exploring Operation: 125-55=70, Resulting Numbers: [7, 70] Generated Node #3: [7, 70] from Operation: 125-55=70 Current State: 10:[7, 70], Operations: ['54+71=125', '125-55=70'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 88, 90, 47 ]
99
[ "90-88=2", "47*2=94", "5+94=99" ]
Current State: 99:[5, 88, 90, 47], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [5, 47, 2] Generated Node #2: [5, 47, 2] from Operation: 90-88=2 Current State: 99:[5, 47, 2], Operations: ['90-88=2'] Exploring Operation: 47*2=94, Resulting Numbers: [5, 94] Generated Node #3: [5, 94] from Operation: 47*2=94 Current State: 99:[5, 94], Operations: ['90-88=2', '47*2=94'] Exploring Operation: 5+94=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 82, 60, 8, 98 ]
58
[ "98-82=16", "16/8=2", "60-2=58" ]
Current State: 58:[82, 60, 8, 98], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [60, 8, 16] Generated Node #2: [60, 8, 16] from Operation: 98-82=16 Current State: 58:[60, 8, 16], Operations: ['98-82=16'] Exploring Operation: 16/8=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 16/8=2 Current State: 58:[60, 2], Operations: ['98-82=16', '16/8=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 65, 6, 38, 58 ]
55
[ "58-38=20", "6*20=120", "120-65=55" ]
Current State: 55:[65, 6, 38, 58], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [65, 6, 20] Generated Node #2: [65, 6, 20] from Operation: 58-38=20 Current State: 55:[65, 6, 20], Operations: ['58-38=20'] Exploring Operation: 6*20=120, Resulting Numbers: [65, 120] Generated Node #3: [65, 120] from Operation: 6*20=120 Current State: 55:[65, 120], Operations: ['58-38=20', '6*20=120'] Exploring Operation: 120-65=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 86, 98, 63 ]
84
[ "86-9=77", "98+63=161", "161-77=84" ]
Current State: 84:[9, 86, 98, 63], Operations: [] Exploring Operation: 86-9=77, Resulting Numbers: [98, 63, 77] Generated Node #2: [98, 63, 77] from Operation: 86-9=77 Current State: 84:[98, 63, 77], Operations: ['86-9=77'] Exploring Operation: 98+63=161, Resulting Numbers: [77, 161] Generated Node #3: [77, 161] from Operation: 98+63=161 Current State: 84:[77, 161], Operations: ['86-9=77', '98+63=161'] Exploring Operation: 161-77=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 84, 26, 2 ]
91
[ "20+84=104", "26/2=13", "104-13=91" ]
Current State: 91:[20, 84, 26, 2], Operations: [] Exploring Operation: 20+84=104, Resulting Numbers: [26, 2, 104] Generated Node #2: [26, 2, 104] from Operation: 20+84=104 Current State: 91:[26, 2, 104], Operations: ['20+84=104'] Exploring Operation: 26/2=13, Resulting Numbers: [104, 13] Generated Node #3: [104, 13] from Operation: 26/2=13 Current State: 91:[104, 13], Operations: ['20+84=104', '26/2=13'] Exploring Operation: 104-13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 8, 23, 49 ]
32
[ "23+49=72", "72/18=4", "8*4=32" ]
Current State: 32:[18, 8, 23, 49], Operations: [] Exploring Operation: 23+49=72, Resulting Numbers: [18, 8, 72] Generated Node #2: [18, 8, 72] from Operation: 23+49=72 Current State: 32:[18, 8, 72], Operations: ['23+49=72'] Exploring Operation: 72/18=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 72/18=4 Current State: 32:[8, 4], Operations: ['23+49=72', '72/18=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 37, 37, 39, 96 ]
61
[ "37+37=74", "39+96=135", "135-74=61" ]
Current State: 61:[37, 37, 39, 96], Operations: [] Exploring Operation: 37+37=74, Resulting Numbers: [39, 96, 74] Generated Node #2: [39, 96, 74] from Operation: 37+37=74 Current State: 61:[39, 96, 74], Operations: ['37+37=74'] Exploring Operation: 39+96=135, Resulting Numbers: [74, 135] Generated Node #3: [74, 135] from Operation: 39+96=135 Current State: 61:[74, 135], Operations: ['37+37=74', '39+96=135'] Exploring Operation: 135-74=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 17, 44, 67 ]
65
[ "44-10=34", "34/17=2", "67-2=65" ]
Current State: 65:[10, 17, 44, 67], Operations: [] Exploring Operation: 44-10=34, Resulting Numbers: [17, 67, 34] Generated Node #2: [17, 67, 34] from Operation: 44-10=34 Current State: 65:[17, 67, 34], Operations: ['44-10=34'] Exploring Operation: 34/17=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 34/17=2 Current State: 65:[67, 2], Operations: ['44-10=34', '34/17=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 90, 90, 50, 5 ]
26
[ "90+90=180", "180-50=130", "130/5=26" ]
Current State: 26:[90, 90, 50, 5], Operations: [] Exploring Operation: 90+90=180, Resulting Numbers: [50, 5, 180] Generated Node #2: [50, 5, 180] from Operation: 90+90=180 Current State: 26:[50, 5, 180], Operations: ['90+90=180'] Exploring Operation: 180-50=130, Resulting Numbers: [5, 130] Generated Node #3: [5, 130] from Operation: 180-50=130 Current State: 26:[5, 130], Operations: ['90+90=180', '180-50=130'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 89, 49, 31, 56 ]
98
[ "89-31=58", "58-56=2", "49*2=98" ]
Current State: 98:[89, 49, 31, 56], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [49, 56, 58] Generated Node #2: [49, 56, 58] from Operation: 89-31=58 Current State: 98:[49, 56, 58], Operations: ['89-31=58'] Exploring Operation: 58-56=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 58-56=2 Current State: 98:[49, 2], Operations: ['89-31=58', '58-56=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 15, 4, 33 ]
74
[ "3*15=45", "33-4=29", "45+29=74" ]
Current State: 74:[3, 15, 4, 33], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [4, 33, 45] Generated Node #2: [4, 33, 45] from Operation: 3*15=45 Current State: 74:[4, 33, 45], Operations: ['3*15=45'] Exploring Operation: 33-4=29, Resulting Numbers: [45, 29] Generated Node #3: [45, 29] from Operation: 33-4=29 Current State: 74:[45, 29], Operations: ['3*15=45', '33-4=29'] Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 64, 19, 70, 43 ]
56
[ "64+19=83", "70-43=27", "83-27=56" ]
Current State: 56:[64, 19, 70, 43], Operations: [] Exploring Operation: 64+19=83, Resulting Numbers: [70, 43, 83] Generated Node #2: [70, 43, 83] from Operation: 64+19=83 Current State: 56:[70, 43, 83], Operations: ['64+19=83'] Exploring Operation: 70-43=27, Resulting Numbers: [83, 27] Generated Node #3: [83, 27] from Operation: 70-43=27 Current State: 56:[83, 27], Operations: ['64+19=83', '70-43=27'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 43, 70, 5 ]
18
[ "4+43=47", "70-5=65", "65-47=18" ]
Current State: 18:[4, 43, 70, 5], Operations: [] Exploring Operation: 4+43=47, Resulting Numbers: [70, 5, 47] Generated Node #2: [70, 5, 47] from Operation: 4+43=47 Current State: 18:[70, 5, 47], Operations: ['4+43=47'] Exploring Operation: 70-5=65, Resulting Numbers: [47, 65] Generated Node #3: [47, 65] from Operation: 70-5=65 Current State: 18:[47, 65], Operations: ['4+43=47', '70-5=65'] Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 2, 84, 81 ]
79
[ "84-1=83", "2*81=162", "162-83=79" ]
Current State: 79:[1, 2, 84, 81], Operations: [] Exploring Operation: 84-1=83, Resulting Numbers: [2, 81, 83] Generated Node #2: [2, 81, 83] from Operation: 84-1=83 Current State: 79:[2, 81, 83], Operations: ['84-1=83'] Exploring Operation: 2*81=162, Resulting Numbers: [83, 162] Generated Node #3: [83, 162] from Operation: 2*81=162 Current State: 79:[83, 162], Operations: ['84-1=83', '2*81=162'] Exploring Operation: 162-83=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 86, 75, 15 ]
83
[ "86-8=78", "75/15=5", "78+5=83" ]
Current State: 83:[8, 86, 75, 15], Operations: [] Exploring Operation: 86-8=78, Resulting Numbers: [75, 15, 78] Generated Node #2: [75, 15, 78] from Operation: 86-8=78 Current State: 83:[75, 15, 78], Operations: ['86-8=78'] Exploring Operation: 75/15=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 75/15=5 Current State: 83:[78, 5], Operations: ['86-8=78', '75/15=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 33, 60, 57, 18 ]
45
[ "57-33=24", "60*18=1080", "1080/24=45" ]
Current State: 45:[33, 60, 57, 18], Operations: [] Exploring Operation: 57-33=24, Resulting Numbers: [60, 18, 24] Generated Node #2: [60, 18, 24] from Operation: 57-33=24 Current State: 45:[60, 18, 24], Operations: ['57-33=24'] Exploring Operation: 60*18=1080, Resulting Numbers: [24, 1080] Generated Node #3: [24, 1080] from Operation: 60*18=1080 Current State: 45:[24, 1080], Operations: ['57-33=24', '60*18=1080'] Exploring Operation: 1080/24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 51, 3, 58, 87 ]
49
[ "3*58=174", "174/87=2", "51-2=49" ]
Current State: 49:[51, 3, 58, 87], Operations: [] Exploring Operation: 3*58=174, Resulting Numbers: [51, 87, 174] Generated Node #2: [51, 87, 174] from Operation: 3*58=174 Current State: 49:[51, 87, 174], Operations: ['3*58=174'] Exploring Operation: 174/87=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 174/87=2 Current State: 49:[51, 2], Operations: ['3*58=174', '174/87=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 26, 8, 26, 35 ]
98
[ "35-26=9", "8*9=72", "26+72=98" ]
Current State: 98:[26, 8, 26, 35], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [8, 9] Generated Node #2: [8, 9] from Operation: 35-26=9 Current State: 98:[8, 9], Operations: ['35-26=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,98 equal: Goal Reached Exploring Operation: 26+72=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 47, 6, 37, 11 ]
29
[ "47*6=282", "37+282=319", "319/11=29" ]
Current State: 29:[47, 6, 37, 11], Operations: [] Exploring Operation: 47*6=282, Resulting Numbers: [37, 11, 282] Generated Node #2: [37, 11, 282] from Operation: 47*6=282 Current State: 29:[37, 11, 282], Operations: ['47*6=282'] Exploring Operation: 37+282=319, Resulting Numbers: [11, 319] Generated Node #3: [11, 319] from Operation: 37+282=319 Current State: 29:[11, 319], Operations: ['47*6=282', '37+282=319'] Exploring Operation: 319/11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 51, 15, 73, 1 ]
37
[ "51-15=36", "73*1=73", "73-36=37" ]
Current State: 37:[51, 15, 73, 1], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [73, 1, 36] Generated Node #2: [73, 1, 36] from Operation: 51-15=36 Current State: 37:[73, 1, 36], Operations: ['51-15=36'] Exploring Operation: 73*1=73, Resulting Numbers: [36, 73] Generated Node #3: [36, 73] from Operation: 73*1=73 Current State: 37:[36, 73], Operations: ['51-15=36', '73*1=73'] Exploring Operation: 73-36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 40, 55, 1 ]
98
[ "83-40=43", "55*1=55", "43+55=98" ]
Current State: 98:[83, 40, 55, 1], Operations: [] Exploring Operation: 83-40=43, Resulting Numbers: [55, 1, 43] Generated Node #2: [55, 1, 43] from Operation: 83-40=43 Current State: 98:[55, 1, 43], Operations: ['83-40=43'] Exploring Operation: 55*1=55, Resulting Numbers: [43, 55] Generated Node #3: [43, 55] from Operation: 55*1=55 Current State: 98:[43, 55], Operations: ['83-40=43', '55*1=55'] Exploring Operation: 43+55=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 65, 24, 14, 2 ]
70
[ "24-14=10", "10/2=5", "65+5=70" ]
Current State: 70:[65, 24, 14, 2], Operations: [] Exploring Operation: 24-14=10, Resulting Numbers: [65, 2, 10] Generated Node #2: [65, 2, 10] from Operation: 24-14=10 Current State: 70:[65, 2, 10], Operations: ['24-14=10'] Exploring Operation: 10/2=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 10/2=5 Current State: 70:[65, 5], Operations: ['24-14=10', '10/2=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 97, 75, 81 ]
19
[ "75+81=156", "156/2=78", "97-78=19" ]
Current State: 19:[2, 97, 75, 81], Operations: [] Exploring Operation: 75+81=156, Resulting Numbers: [2, 97, 156] Generated Node #2: [2, 97, 156] from Operation: 75+81=156 Current State: 19:[2, 97, 156], Operations: ['75+81=156'] Exploring Operation: 156/2=78, Resulting Numbers: [97, 78] Generated Node #3: [97, 78] from Operation: 156/2=78 Current State: 19:[97, 78], Operations: ['75+81=156', '156/2=78'] Exploring Operation: 97-78=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 37, 35, 67 ]
58
[ "81-37=44", "35+67=102", "102-44=58" ]
Current State: 58:[81, 37, 35, 67], Operations: [] Exploring Operation: 81-37=44, Resulting Numbers: [35, 67, 44] Generated Node #2: [35, 67, 44] from Operation: 81-37=44 Current State: 58:[35, 67, 44], Operations: ['81-37=44'] Exploring Operation: 35+67=102, Resulting Numbers: [44, 102] Generated Node #3: [44, 102] from Operation: 35+67=102 Current State: 58:[44, 102], Operations: ['81-37=44', '35+67=102'] Exploring Operation: 102-44=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 21, 47, 31, 28 ]
23
[ "47-21=26", "31-28=3", "26-3=23" ]
Current State: 23:[21, 47, 31, 28], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [31, 28, 26] Generated Node #2: [31, 28, 26] from Operation: 47-21=26 Current State: 23:[31, 28, 26], Operations: ['47-21=26'] Exploring Operation: 31-28=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 31-28=3 Current State: 23:[26, 3], Operations: ['47-21=26', '31-28=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 11, 79, 90 ]
34
[ "12+11=23", "90-79=11", "23+11=34" ]
Current State: 34:[12, 11, 79, 90], Operations: [] Exploring Operation: 12+11=23, Resulting Numbers: [79, 90, 23] Generated Node #2: [79, 90, 23] from Operation: 12+11=23 Current State: 34:[79, 90, 23], Operations: ['12+11=23'] Exploring Operation: 90-79=11, Resulting Numbers: [23, 11] Generated Node #3: [23, 11] from Operation: 90-79=11 Current State: 34:[23, 11], Operations: ['12+11=23', '90-79=11'] Exploring Operation: 23+11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 58, 32, 93, 15 ]
87
[ "58+32=90", "90/15=6", "93-6=87" ]
Current State: 87:[58, 32, 93, 15], Operations: [] Exploring Operation: 58+32=90, Resulting Numbers: [93, 15, 90] Generated Node #2: [93, 15, 90] from Operation: 58+32=90 Current State: 87:[93, 15, 90], Operations: ['58+32=90'] Exploring Operation: 90/15=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 90/15=6 Current State: 87:[93, 6], Operations: ['58+32=90', '90/15=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 89, 23, 8, 98 ]
40
[ "89-23=66", "8+98=106", "106-66=40" ]
Current State: 40:[89, 23, 8, 98], Operations: [] Exploring Operation: 89-23=66, Resulting Numbers: [8, 98, 66] Generated Node #2: [8, 98, 66] from Operation: 89-23=66 Current State: 40:[8, 98, 66], Operations: ['89-23=66'] Exploring Operation: 8+98=106, Resulting Numbers: [66, 106] Generated Node #3: [66, 106] from Operation: 8+98=106 Current State: 40:[66, 106], Operations: ['89-23=66', '8+98=106'] Exploring Operation: 106-66=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 81, 25, 24, 28 ]
52
[ "81-25=56", "28-24=4", "56-4=52" ]
Current State: 52:[81, 25, 24, 28], Operations: [] Exploring Operation: 81-25=56, Resulting Numbers: [24, 28, 56] Generated Node #2: [24, 28, 56] from Operation: 81-25=56 Current State: 52:[24, 28, 56], Operations: ['81-25=56'] Exploring Operation: 28-24=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 28-24=4 Current State: 52:[56, 4], Operations: ['81-25=56', '28-24=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 62, 2, 78 ]
75
[ "62-61=1", "78-2=76", "76-1=75" ]
Current State: 75:[61, 62, 2, 78], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [2, 78, 1] Generated Node #2: [2, 78, 1] from Operation: 62-61=1 Current State: 75:[2, 78, 1], Operations: ['62-61=1'] Exploring Operation: 78-2=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 78-2=76 Current State: 75:[1, 76], Operations: ['62-61=1', '78-2=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 67, 88, 47 ]
35
[ "9+67=76", "88-47=41", "76-41=35" ]
Current State: 35:[9, 67, 88, 47], Operations: [] Exploring Operation: 9+67=76, Resulting Numbers: [88, 47, 76] Generated Node #2: [88, 47, 76] from Operation: 9+67=76 Current State: 35:[88, 47, 76], Operations: ['9+67=76'] Exploring Operation: 88-47=41, Resulting Numbers: [76, 41] Generated Node #3: [76, 41] from Operation: 88-47=41 Current State: 35:[76, 41], Operations: ['9+67=76', '88-47=41'] Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 26, 79, 7 ]
51
[ "35*26=910", "910/7=130", "130-79=51" ]
Current State: 51:[35, 26, 79, 7], Operations: [] Exploring Operation: 35*26=910, Resulting Numbers: [79, 7, 910] Generated Node #2: [79, 7, 910] from Operation: 35*26=910 Current State: 51:[79, 7, 910], Operations: ['35*26=910'] Exploring Operation: 910/7=130, Resulting Numbers: [79, 130] Generated Node #3: [79, 130] from Operation: 910/7=130 Current State: 51:[79, 130], Operations: ['35*26=910', '910/7=130'] Exploring Operation: 130-79=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 65, 12, 28, 86 ]
16
[ "86-65=21", "12*28=336", "336/21=16" ]
Current State: 16:[65, 12, 28, 86], Operations: [] Exploring Operation: 86-65=21, Resulting Numbers: [12, 28, 21] Generated Node #2: [12, 28, 21] from Operation: 86-65=21 Current State: 16:[12, 28, 21], Operations: ['86-65=21'] Exploring Operation: 12*28=336, Resulting Numbers: [21, 336] Generated Node #3: [21, 336] from Operation: 12*28=336 Current State: 16:[21, 336], Operations: ['86-65=21', '12*28=336'] Exploring Operation: 336/21=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 98, 2, 87 ]
17
[ "98-30=68", "87-2=85", "85-68=17" ]
Current State: 17:[30, 98, 2, 87], Operations: [] Exploring Operation: 98-30=68, Resulting Numbers: [2, 87, 68] Generated Node #2: [2, 87, 68] from Operation: 98-30=68 Current State: 17:[2, 87, 68], Operations: ['98-30=68'] Exploring Operation: 87-2=85, Resulting Numbers: [68, 85] Generated Node #3: [68, 85] from Operation: 87-2=85 Current State: 17:[68, 85], Operations: ['98-30=68', '87-2=85'] Exploring Operation: 85-68=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 95, 11, 57 ]
88
[ "95+57=152", "152/19=8", "11*8=88" ]
Current State: 88:[19, 95, 11, 57], Operations: [] Exploring Operation: 95+57=152, Resulting Numbers: [19, 11, 152] Generated Node #2: [19, 11, 152] from Operation: 95+57=152 Current State: 88:[19, 11, 152], Operations: ['95+57=152'] Exploring Operation: 152/19=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 152/19=8 Current State: 88:[11, 8], Operations: ['95+57=152', '152/19=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 77, 54, 37, 74 ]
55
[ "77-74=3", "54/3=18", "37+18=55" ]
Current State: 55:[77, 54, 37, 74], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [54, 37, 3] Generated Node #2: [54, 37, 3] from Operation: 77-74=3 Current State: 55:[54, 37, 3], Operations: ['77-74=3'] Exploring Operation: 54/3=18, Resulting Numbers: [37, 18] Generated Node #3: [37, 18] from Operation: 54/3=18 Current State: 55:[37, 18], Operations: ['77-74=3', '54/3=18'] Exploring Operation: 37+18=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 91, 8, 92 ]
61
[ "54+91=145", "92-8=84", "145-84=61" ]
Current State: 61:[54, 91, 8, 92], Operations: [] Exploring Operation: 54+91=145, Resulting Numbers: [8, 92, 145] Generated Node #2: [8, 92, 145] from Operation: 54+91=145 Current State: 61:[8, 92, 145], Operations: ['54+91=145'] Exploring Operation: 92-8=84, Resulting Numbers: [145, 84] Generated Node #3: [145, 84] from Operation: 92-8=84 Current State: 61:[145, 84], Operations: ['54+91=145', '92-8=84'] Exploring Operation: 145-84=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 80, 53, 47 ]
40
[ "53-4=49", "49-47=2", "80/2=40" ]
Current State: 40:[4, 80, 53, 47], Operations: [] Exploring Operation: 53-4=49, Resulting Numbers: [80, 47, 49] Generated Node #2: [80, 47, 49] from Operation: 53-4=49 Current State: 40:[80, 47, 49], Operations: ['53-4=49'] Exploring Operation: 49-47=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 49-47=2 Current State: 40:[80, 2], Operations: ['53-4=49', '49-47=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 45, 40, 15, 35 ]
65
[ "45+40=85", "35-15=20", "85-20=65" ]
Current State: 65:[45, 40, 15, 35], Operations: [] Exploring Operation: 45+40=85, Resulting Numbers: [15, 35, 85] Generated Node #2: [15, 35, 85] from Operation: 45+40=85 Current State: 65:[15, 35, 85], Operations: ['45+40=85'] Exploring Operation: 35-15=20, Resulting Numbers: [85, 20] Generated Node #3: [85, 20] from Operation: 35-15=20 Current State: 65:[85, 20], Operations: ['45+40=85', '35-15=20'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 40, 23, 45 ]
82
[ "20+40=60", "45-23=22", "60+22=82" ]
Current State: 82:[20, 40, 23, 45], Operations: [] Exploring Operation: 20+40=60, Resulting Numbers: [23, 45, 60] Generated Node #2: [23, 45, 60] from Operation: 20+40=60 Current State: 82:[23, 45, 60], Operations: ['20+40=60'] Exploring Operation: 45-23=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 45-23=22 Current State: 82:[60, 22], Operations: ['20+40=60', '45-23=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 70, 97, 23 ]
51
[ "70/35=2", "23*2=46", "97-46=51" ]
Current State: 51:[35, 70, 97, 23], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [97, 23, 2] Generated Node #2: [97, 23, 2] from Operation: 70/35=2 Current State: 51:[97, 23, 2], Operations: ['70/35=2'] Exploring Operation: 23*2=46, Resulting Numbers: [97, 46] Generated Node #3: [97, 46] from Operation: 23*2=46 Current State: 51:[97, 46], Operations: ['70/35=2', '23*2=46'] Exploring Operation: 97-46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 40, 98, 44, 48 ]
55
[ "98-48=50", "44*50=2200", "2200/40=55" ]
Current State: 55:[40, 98, 44, 48], Operations: [] Exploring Operation: 98-48=50, Resulting Numbers: [40, 44, 50] Generated Node #2: [40, 44, 50] from Operation: 98-48=50 Current State: 55:[40, 44, 50], Operations: ['98-48=50'] Exploring Operation: 44*50=2200, Resulting Numbers: [40, 2200] Generated Node #3: [40, 2200] from Operation: 44*50=2200 Current State: 55:[40, 2200], Operations: ['98-48=50', '44*50=2200'] Exploring Operation: 2200/40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 60, 58, 42, 49 ]
14
[ "60-58=2", "49-42=7", "2*7=14" ]
Current State: 14:[60, 58, 42, 49], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [42, 49, 2] Generated Node #2: [42, 49, 2] from Operation: 60-58=2 Current State: 14:[42, 49, 2], Operations: ['60-58=2'] Exploring Operation: 49-42=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 49-42=7 Current State: 14:[2, 7], Operations: ['60-58=2', '49-42=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 72, 75, 86, 62 ]
72
[ "75-72=3", "86-62=24", "3*24=72" ]
Current State: 72:[72, 75, 86, 62], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [86, 62, 3] Generated Node #2: [86, 62, 3] from Operation: 75-72=3 Current State: 72:[86, 62, 3], Operations: ['75-72=3'] Exploring Operation: 86-62=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 86-62=24 Current State: 72:[3, 24], Operations: ['75-72=3', '86-62=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 58, 8, 2, 97 ]
49
[ "58-8=50", "2+97=99", "99-50=49" ]
Current State: 49:[58, 8, 2, 97], Operations: [] Exploring Operation: 58-8=50, Resulting Numbers: [2, 97, 50] Generated Node #2: [2, 97, 50] from Operation: 58-8=50 Current State: 49:[2, 97, 50], Operations: ['58-8=50'] Exploring Operation: 2+97=99, Resulting Numbers: [50, 99] Generated Node #3: [50, 99] from Operation: 2+97=99 Current State: 49:[50, 99], Operations: ['58-8=50', '2+97=99'] Exploring Operation: 99-50=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 61, 61, 24, 52 ]
77
[ "61/61=1", "24+52=76", "1+76=77" ]
Current State: 77:[61, 61, 24, 52], Operations: [] Exploring Operation: 61/61=1, Resulting Numbers: [24, 52, 1] Generated Node #2: [24, 52, 1] from Operation: 61/61=1 Current State: 77:[24, 52, 1], Operations: ['61/61=1'] Exploring Operation: 24+52=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 24+52=76 Current State: 77:[1, 76], Operations: ['61/61=1', '24+52=76'] Exploring Operation: 1+76=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 5, 72, 51, 20 ]
36
[ "72-5=67", "51-20=31", "67-31=36" ]
Current State: 36:[5, 72, 51, 20], Operations: [] Exploring Operation: 72-5=67, Resulting Numbers: [51, 20, 67] Generated Node #2: [51, 20, 67] from Operation: 72-5=67 Current State: 36:[51, 20, 67], Operations: ['72-5=67'] Exploring Operation: 51-20=31, Resulting Numbers: [67, 31] Generated Node #3: [67, 31] from Operation: 51-20=31 Current State: 36:[67, 31], Operations: ['72-5=67', '51-20=31'] Exploring Operation: 67-31=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 58, 76, 87, 27 ]
74
[ "58+76=134", "87-27=60", "134-60=74" ]
Current State: 74:[58, 76, 87, 27], Operations: [] Exploring Operation: 58+76=134, Resulting Numbers: [87, 27, 134] Generated Node #2: [87, 27, 134] from Operation: 58+76=134 Current State: 74:[87, 27, 134], Operations: ['58+76=134'] Exploring Operation: 87-27=60, Resulting Numbers: [134, 60] Generated Node #3: [134, 60] from Operation: 87-27=60 Current State: 74:[134, 60], Operations: ['58+76=134', '87-27=60'] Exploring Operation: 134-60=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 24, 61, 57, 92 ]
29
[ "24+92=116", "61-57=4", "116/4=29" ]
Current State: 29:[24, 61, 57, 92], Operations: [] Exploring Operation: 24+92=116, Resulting Numbers: [61, 57, 116] Generated Node #2: [61, 57, 116] from Operation: 24+92=116 Current State: 29:[61, 57, 116], Operations: ['24+92=116'] Exploring Operation: 61-57=4, Resulting Numbers: [116, 4] Generated Node #3: [116, 4] from Operation: 61-57=4 Current State: 29:[116, 4], Operations: ['24+92=116', '61-57=4'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 98, 92, 95, 19 ]
39
[ "98+19=117", "95-92=3", "117/3=39" ]
Current State: 39:[98, 92, 95, 19], Operations: [] Exploring Operation: 98+19=117, Resulting Numbers: [92, 95, 117] Generated Node #2: [92, 95, 117] from Operation: 98+19=117 Current State: 39:[92, 95, 117], Operations: ['98+19=117'] Exploring Operation: 95-92=3, Resulting Numbers: [117, 3] Generated Node #3: [117, 3] from Operation: 95-92=3 Current State: 39:[117, 3], Operations: ['98+19=117', '95-92=3'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 35, 72, 72 ]
53
[ "18+35=53", "72-72=0", "53+0=53" ]
Current State: 53:[18, 35, 72, 72], Operations: [] Exploring Operation: 18+35=53, Resulting Numbers: [72, 72, 53] Generated Node #2: [72, 72, 53] from Operation: 18+35=53 Current State: 53:[72, 72, 53], Operations: ['18+35=53'] Exploring Operation: 72-72=0, Resulting Numbers: [53, 0] Generated Node #3: [53, 0] from Operation: 72-72=0 Current State: 53:[53, 0], Operations: ['18+35=53', '72-72=0'] Exploring Operation: 53+0=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 41, 99, 27, 42 ]
72
[ "42-41=1", "99-27=72", "1*72=72" ]
Current State: 72:[41, 99, 27, 42], Operations: [] Exploring Operation: 42-41=1, Resulting Numbers: [99, 27, 1] Generated Node #2: [99, 27, 1] from Operation: 42-41=1 Current State: 72:[99, 27, 1], Operations: ['42-41=1'] Exploring Operation: 99-27=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 99-27=72 Current State: 72:[1, 72], Operations: ['42-41=1', '99-27=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 47, 10, 53 ]
67
[ "47-35=12", "10*12=120", "120-53=67" ]
Current State: 67:[35, 47, 10, 53], Operations: [] Exploring Operation: 47-35=12, Resulting Numbers: [10, 53, 12] Generated Node #2: [10, 53, 12] from Operation: 47-35=12 Current State: 67:[10, 53, 12], Operations: ['47-35=12'] Exploring Operation: 10*12=120, Resulting Numbers: [53, 120] Generated Node #3: [53, 120] from Operation: 10*12=120 Current State: 67:[53, 120], Operations: ['47-35=12', '10*12=120'] Exploring Operation: 120-53=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 64, 46, 50 ]
98
[ "38+64=102", "50-46=4", "102-4=98" ]
Current State: 98:[38, 64, 46, 50], Operations: [] Exploring Operation: 38+64=102, Resulting Numbers: [46, 50, 102] Generated Node #2: [46, 50, 102] from Operation: 38+64=102 Current State: 98:[46, 50, 102], Operations: ['38+64=102'] Exploring Operation: 50-46=4, Resulting Numbers: [102, 4] Generated Node #3: [102, 4] from Operation: 50-46=4 Current State: 98:[102, 4], Operations: ['38+64=102', '50-46=4'] Exploring Operation: 102-4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 12, 34, 13, 3 ]
75
[ "34-13=21", "3*21=63", "12+63=75" ]
Current State: 75:[12, 34, 13, 3], Operations: [] Exploring Operation: 34-13=21, Resulting Numbers: [12, 3, 21] Generated Node #2: [12, 3, 21] from Operation: 34-13=21 Current State: 75:[12, 3, 21], Operations: ['34-13=21'] Exploring Operation: 3*21=63, Resulting Numbers: [12, 63] Generated Node #3: [12, 63] from Operation: 3*21=63 Current State: 75:[12, 63], Operations: ['34-13=21', '3*21=63'] Exploring Operation: 12+63=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 53, 4, 21 ]
65
[ "72-53=19", "4*21=84", "84-19=65" ]
Current State: 65:[72, 53, 4, 21], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [4, 21, 19] Generated Node #2: [4, 21, 19] from Operation: 72-53=19 Current State: 65:[4, 21, 19], Operations: ['72-53=19'] Exploring Operation: 4*21=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 4*21=84 Current State: 65:[19, 84], Operations: ['72-53=19', '4*21=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 32, 53, 74, 83 ]
76
[ "32+53=85", "83-74=9", "85-9=76" ]
Current State: 76:[32, 53, 74, 83], Operations: [] Exploring Operation: 32+53=85, Resulting Numbers: [74, 83, 85] Generated Node #2: [74, 83, 85] from Operation: 32+53=85 Current State: 76:[74, 83, 85], Operations: ['32+53=85'] Exploring Operation: 83-74=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 83-74=9 Current State: 76:[85, 9], Operations: ['32+53=85', '83-74=9'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4