nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 65, 45, 72, 49 ]
52
[ "72-65=7", "49/7=7", "45+7=52" ]
Current State: 52:[65, 45, 72, 49], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [45, 49, 7] Generated Node #2: [45, 49, 7] from Operation: 72-65=7 Current State: 52:[45, 49, 7], Operations: ['72-65=7'] Exploring Operation: 49/7=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 49/7=7 Current State: 52:[45, 7], Operations: ['72-65=7', '49/7=7'] Exploring Operation: 45+7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 2, 65, 44 ]
61
[ "38+2=40", "65-44=21", "40+21=61" ]
Current State: 61:[38, 2, 65, 44], Operations: [] Exploring Operation: 38+2=40, Resulting Numbers: [65, 44, 40] Generated Node #2: [65, 44, 40] from Operation: 38+2=40 Current State: 61:[65, 44, 40], Operations: ['38+2=40'] Exploring Operation: 65-44=21, Resulting Numbers: [40, 21] Generated Node #3: [40, 21] from Operation: 65-44=21 Current State: 61:[40, 21], Operations: ['38+2=40', '65-44=21'] Exploring Operation: 40+21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 75, 15, 63 ]
78
[ "63-15=48", "48/16=3", "75+3=78" ]
Current State: 78:[16, 75, 15, 63], Operations: [] Exploring Operation: 63-15=48, Resulting Numbers: [16, 75, 48] Generated Node #2: [16, 75, 48] from Operation: 63-15=48 Current State: 78:[16, 75, 48], Operations: ['63-15=48'] Exploring Operation: 48/16=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 48/16=3 Current State: 78:[75, 3], Operations: ['63-15=48', '48/16=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 6, 3, 58, 33 ]
63
[ "58-6=52", "33/3=11", "52+11=63" ]
Current State: 63:[6, 3, 58, 33], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [3, 33, 52] Generated Node #2: [3, 33, 52] from Operation: 58-6=52 Current State: 63:[3, 33, 52], Operations: ['58-6=52'] Exploring Operation: 33/3=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 33/3=11 Current State: 63:[52, 11], Operations: ['58-6=52', '33/3=11'] Exploring Operation: 52+11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 48, 42, 49 ]
71
[ "16+48=64", "49-42=7", "64+7=71" ]
Current State: 71:[16, 48, 42, 49], Operations: [] Exploring Operation: 16+48=64, Resulting Numbers: [42, 49, 64] Generated Node #2: [42, 49, 64] from Operation: 16+48=64 Current State: 71:[42, 49, 64], Operations: ['16+48=64'] Exploring Operation: 49-42=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 49-42=7 Current State: 71:[64, 7], Operations: ['16+48=64', '49-42=7'] Exploring Operation: 64+7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 26, 94, 31, 11 ]
78
[ "26+94=120", "31+11=42", "120-42=78" ]
Current State: 78:[26, 94, 31, 11], Operations: [] Exploring Operation: 26+94=120, Resulting Numbers: [31, 11, 120] Generated Node #2: [31, 11, 120] from Operation: 26+94=120 Current State: 78:[31, 11, 120], Operations: ['26+94=120'] Exploring Operation: 31+11=42, Resulting Numbers: [120, 42] Generated Node #3: [120, 42] from Operation: 31+11=42 Current State: 78:[120, 42], Operations: ['26+94=120', '31+11=42'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 46, 48, 54 ]
98
[ "48-46=2", "88/2=44", "54+44=98" ]
Current State: 98:[88, 46, 48, 54], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [88, 54, 2] Generated Node #2: [88, 54, 2] from Operation: 48-46=2 Current State: 98:[88, 54, 2], Operations: ['48-46=2'] Exploring Operation: 88/2=44, Resulting Numbers: [54, 44] Generated Node #3: [54, 44] from Operation: 88/2=44 Current State: 98:[54, 44], Operations: ['48-46=2', '88/2=44'] Exploring Operation: 54+44=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 24, 16, 25, 50 ]
10
[ "24-16=8", "50/25=2", "8+2=10" ]
Current State: 10:[24, 16, 25, 50], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [25, 50, 8] Generated Node #2: [25, 50, 8] from Operation: 24-16=8 Current State: 10:[25, 50, 8], Operations: ['24-16=8'] Exploring Operation: 50/25=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 50/25=2 Current State: 10:[8, 2], Operations: ['24-16=8', '50/25=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 54, 2, 46 ]
78
[ "76-46=30", "54*2=108", "108-30=78" ]
Current State: 78:[76, 54, 2, 46], Operations: [] Exploring Operation: 76-46=30, Resulting Numbers: [54, 2, 30] Generated Node #2: [54, 2, 30] from Operation: 76-46=30 Current State: 78:[54, 2, 30], Operations: ['76-46=30'] Exploring Operation: 54*2=108, Resulting Numbers: [30, 108] Generated Node #3: [30, 108] from Operation: 54*2=108 Current State: 78:[30, 108], Operations: ['76-46=30', '54*2=108'] Exploring Operation: 108-30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 92, 83, 64, 13 ]
95
[ "92+64=156", "156/13=12", "83+12=95" ]
Current State: 95:[92, 83, 64, 13], Operations: [] Exploring Operation: 92+64=156, Resulting Numbers: [83, 13, 156] Generated Node #2: [83, 13, 156] from Operation: 92+64=156 Current State: 95:[83, 13, 156], Operations: ['92+64=156'] Exploring Operation: 156/13=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 156/13=12 Current State: 95:[83, 12], Operations: ['92+64=156', '156/13=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 30, 68, 1, 6 ]
43
[ "68-30=38", "6-1=5", "38+5=43" ]
Current State: 43:[30, 68, 1, 6], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [1, 6, 38] Generated Node #2: [1, 6, 38] from Operation: 68-30=38 Current State: 43:[1, 6, 38], Operations: ['68-30=38'] Exploring Operation: 6-1=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 6-1=5 Current State: 43:[38, 5], Operations: ['68-30=38', '6-1=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 47, 80, 7 ]
95
[ "47-25=22", "80-7=73", "22+73=95" ]
Current State: 95:[25, 47, 80, 7], Operations: [] Exploring Operation: 47-25=22, Resulting Numbers: [80, 7, 22] Generated Node #2: [80, 7, 22] from Operation: 47-25=22 Current State: 95:[80, 7, 22], Operations: ['47-25=22'] Exploring Operation: 80-7=73, Resulting Numbers: [22, 73] Generated Node #3: [22, 73] from Operation: 80-7=73 Current State: 95:[22, 73], Operations: ['47-25=22', '80-7=73'] Exploring Operation: 22+73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 74, 88, 56 ]
47
[ "5+74=79", "88-56=32", "79-32=47" ]
Current State: 47:[5, 74, 88, 56], Operations: [] Exploring Operation: 5+74=79, Resulting Numbers: [88, 56, 79] Generated Node #2: [88, 56, 79] from Operation: 5+74=79 Current State: 47:[88, 56, 79], Operations: ['5+74=79'] Exploring Operation: 88-56=32, Resulting Numbers: [79, 32] Generated Node #3: [79, 32] from Operation: 88-56=32 Current State: 47:[79, 32], Operations: ['5+74=79', '88-56=32'] Exploring Operation: 79-32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 41, 42, 6, 7 ]
53
[ "41+6=47", "42/7=6", "47+6=53" ]
Current State: 53:[41, 42, 6, 7], Operations: [] Exploring Operation: 41+6=47, Resulting Numbers: [42, 7, 47] Generated Node #2: [42, 7, 47] from Operation: 41+6=47 Current State: 53:[42, 7, 47], Operations: ['41+6=47'] Exploring Operation: 42/7=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 42/7=6 Current State: 53:[47, 6], Operations: ['41+6=47', '42/7=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 64, 63, 44, 35 ]
48
[ "64+63=127", "44+35=79", "127-79=48" ]
Current State: 48:[64, 63, 44, 35], Operations: [] Exploring Operation: 64+63=127, Resulting Numbers: [44, 35, 127] Generated Node #2: [44, 35, 127] from Operation: 64+63=127 Current State: 48:[44, 35, 127], Operations: ['64+63=127'] Exploring Operation: 44+35=79, Resulting Numbers: [127, 79] Generated Node #3: [127, 79] from Operation: 44+35=79 Current State: 48:[127, 79], Operations: ['64+63=127', '44+35=79'] Exploring Operation: 127-79=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 88, 90, 34, 3 ]
84
[ "88-34=54", "90/3=30", "54+30=84" ]
Current State: 84:[88, 90, 34, 3], Operations: [] Exploring Operation: 88-34=54, Resulting Numbers: [90, 3, 54] Generated Node #2: [90, 3, 54] from Operation: 88-34=54 Current State: 84:[90, 3, 54], Operations: ['88-34=54'] Exploring Operation: 90/3=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 90/3=30 Current State: 84:[54, 30], Operations: ['88-34=54', '90/3=30'] Exploring Operation: 54+30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 41, 5, 72, 81 ]
83
[ "41-5=36", "72/36=2", "81+2=83" ]
Current State: 83:[41, 5, 72, 81], Operations: [] Exploring Operation: 41-5=36, Resulting Numbers: [72, 81, 36] Generated Node #2: [72, 81, 36] from Operation: 41-5=36 Current State: 83:[72, 81, 36], Operations: ['41-5=36'] Exploring Operation: 72/36=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 72/36=2 Current State: 83:[81, 2], Operations: ['41-5=36', '72/36=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 1, 72, 51 ]
31
[ "2*51=102", "72-1=71", "102-71=31" ]
Current State: 31:[2, 1, 72, 51], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [1, 72, 102] Generated Node #2: [1, 72, 102] from Operation: 2*51=102 Current State: 31:[1, 72, 102], Operations: ['2*51=102'] Exploring Operation: 72-1=71, Resulting Numbers: [102, 71] Generated Node #3: [102, 71] from Operation: 72-1=71 Current State: 31:[102, 71], Operations: ['2*51=102', '72-1=71'] Exploring Operation: 102-71=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 50, 17, 10, 20 ]
65
[ "50+17=67", "20/10=2", "67-2=65" ]
Current State: 65:[50, 17, 10, 20], Operations: [] Exploring Operation: 50+17=67, Resulting Numbers: [10, 20, 67] Generated Node #2: [10, 20, 67] from Operation: 50+17=67 Current State: 65:[10, 20, 67], Operations: ['50+17=67'] Exploring Operation: 20/10=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 20/10=2 Current State: 65:[67, 2], Operations: ['50+17=67', '20/10=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 21, 3, 6 ]
41
[ "21-6=15", "3*15=45", "45-4=41" ]
Current State: 41:[4, 21, 3, 6], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [4, 3, 15] Generated Node #2: [4, 3, 15] from Operation: 21-6=15 Current State: 41:[4, 3, 15], Operations: ['21-6=15'] Exploring Operation: 3*15=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 3*15=45 Current State: 41:[4, 45], Operations: ['21-6=15', '3*15=45'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 24, 50, 13 ]
21
[ "18+24=42", "50+13=63", "63-42=21" ]
Current State: 21:[18, 24, 50, 13], Operations: [] Exploring Operation: 18+24=42, Resulting Numbers: [50, 13, 42] Generated Node #2: [50, 13, 42] from Operation: 18+24=42 Current State: 21:[50, 13, 42], Operations: ['18+24=42'] Exploring Operation: 50+13=63, Resulting Numbers: [42, 63] Generated Node #3: [42, 63] from Operation: 50+13=63 Current State: 21:[42, 63], Operations: ['18+24=42', '50+13=63'] Exploring Operation: 63-42=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 11, 30, 6 ]
21
[ "93+6=99", "99/11=9", "30-9=21" ]
Current State: 21:[93, 11, 30, 6], Operations: [] Exploring Operation: 93+6=99, Resulting Numbers: [11, 30, 99] Generated Node #2: [11, 30, 99] from Operation: 93+6=99 Current State: 21:[11, 30, 99], Operations: ['93+6=99'] Exploring Operation: 99/11=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 99/11=9 Current State: 21:[30, 9], Operations: ['93+6=99', '99/11=9'] Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 91, 27, 20, 47 ]
90
[ "27+20=47", "47/47=1", "91-1=90" ]
Current State: 90:[91, 27, 20, 47], Operations: [] Exploring Operation: 27+20=47, Resulting Numbers: [91, 47, 47] Generated Node #2: [91, 47, 47] from Operation: 27+20=47 Current State: 90:[91, 47, 47], Operations: ['27+20=47'] Exploring Operation: 47/47=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 47/47=1 Current State: 90:[91, 1], Operations: ['27+20=47', '47/47=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 32, 19, 6 ]
13
[ "69+32=101", "19*6=114", "114-101=13" ]
Current State: 13:[69, 32, 19, 6], Operations: [] Exploring Operation: 69+32=101, Resulting Numbers: [19, 6, 101] Generated Node #2: [19, 6, 101] from Operation: 69+32=101 Current State: 13:[19, 6, 101], Operations: ['69+32=101'] Exploring Operation: 19*6=114, Resulting Numbers: [101, 114] Generated Node #3: [101, 114] from Operation: 19*6=114 Current State: 13:[101, 114], Operations: ['69+32=101', '19*6=114'] Exploring Operation: 114-101=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 87, 88, 32, 33 ]
75
[ "32*33=1056", "1056/88=12", "87-12=75" ]
Current State: 75:[87, 88, 32, 33], Operations: [] Exploring Operation: 32*33=1056, Resulting Numbers: [87, 88, 1056] Generated Node #2: [87, 88, 1056] from Operation: 32*33=1056 Current State: 75:[87, 88, 1056], Operations: ['32*33=1056'] Exploring Operation: 1056/88=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 1056/88=12 Current State: 75:[87, 12], Operations: ['32*33=1056', '1056/88=12'] Exploring Operation: 87-12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 72, 7, 82 ]
24
[ "72+7=79", "82-79=3", "8*3=24" ]
Current State: 24:[8, 72, 7, 82], Operations: [] Exploring Operation: 72+7=79, Resulting Numbers: [8, 82, 79] Generated Node #2: [8, 82, 79] from Operation: 72+7=79 Current State: 24:[8, 82, 79], Operations: ['72+7=79'] Exploring Operation: 82-79=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 82-79=3 Current State: 24:[8, 3], Operations: ['72+7=79', '82-79=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 34, 37, 49 ]
23
[ "49-34=15", "4*15=60", "60-37=23" ]
Current State: 23:[4, 34, 37, 49], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [4, 37, 15] Generated Node #2: [4, 37, 15] from Operation: 49-34=15 Current State: 23:[4, 37, 15], Operations: ['49-34=15'] Exploring Operation: 4*15=60, Resulting Numbers: [37, 60] Generated Node #3: [37, 60] from Operation: 4*15=60 Current State: 23:[37, 60], Operations: ['49-34=15', '4*15=60'] Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 86, 11, 35, 59 ]
73
[ "86+11=97", "59-35=24", "97-24=73" ]
Current State: 73:[86, 11, 35, 59], Operations: [] Exploring Operation: 86+11=97, Resulting Numbers: [35, 59, 97] Generated Node #2: [35, 59, 97] from Operation: 86+11=97 Current State: 73:[35, 59, 97], Operations: ['86+11=97'] Exploring Operation: 59-35=24, Resulting Numbers: [97, 24] Generated Node #3: [97, 24] from Operation: 59-35=24 Current State: 73:[97, 24], Operations: ['86+11=97', '59-35=24'] Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 21, 88, 11, 61 ]
59
[ "21+88=109", "61-11=50", "109-50=59" ]
Current State: 59:[21, 88, 11, 61], Operations: [] Exploring Operation: 21+88=109, Resulting Numbers: [11, 61, 109] Generated Node #2: [11, 61, 109] from Operation: 21+88=109 Current State: 59:[11, 61, 109], Operations: ['21+88=109'] Exploring Operation: 61-11=50, Resulting Numbers: [109, 50] Generated Node #3: [109, 50] from Operation: 61-11=50 Current State: 59:[109, 50], Operations: ['21+88=109', '61-11=50'] Exploring Operation: 109-50=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 76, 56, 2 ]
39
[ "58+76=134", "134-56=78", "78/2=39" ]
Current State: 39:[58, 76, 56, 2], Operations: [] Exploring Operation: 58+76=134, Resulting Numbers: [56, 2, 134] Generated Node #2: [56, 2, 134] from Operation: 58+76=134 Current State: 39:[56, 2, 134], Operations: ['58+76=134'] Exploring Operation: 134-56=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 134-56=78 Current State: 39:[2, 78], Operations: ['58+76=134', '134-56=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 70, 20, 48 ]
62
[ "70*48=3360", "3360/80=42", "20+42=62" ]
Current State: 62:[80, 70, 20, 48], Operations: [] Exploring Operation: 70*48=3360, Resulting Numbers: [80, 20, 3360] Generated Node #2: [80, 20, 3360] from Operation: 70*48=3360 Current State: 62:[80, 20, 3360], Operations: ['70*48=3360'] Exploring Operation: 3360/80=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 3360/80=42 Current State: 62:[20, 42], Operations: ['70*48=3360', '3360/80=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 86, 47, 81, 33 ]
87
[ "86-47=39", "81-33=48", "39+48=87" ]
Current State: 87:[86, 47, 81, 33], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [81, 33, 39] Generated Node #2: [81, 33, 39] from Operation: 86-47=39 Current State: 87:[81, 33, 39], Operations: ['86-47=39'] Exploring Operation: 81-33=48, Resulting Numbers: [39, 48] Generated Node #3: [39, 48] from Operation: 81-33=48 Current State: 87:[39, 48], Operations: ['86-47=39', '81-33=48'] Exploring Operation: 39+48=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 96, 86, 62, 10 ]
38
[ "96-86=10", "10*10=100", "100-62=38" ]
Current State: 38:[96, 86, 62, 10], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [62, 10, 10] Generated Node #2: [62, 10, 10] from Operation: 96-86=10 Current State: 38:[62, 10, 10], Operations: ['96-86=10'] Exploring Operation: 10*10=100, Resulting Numbers: [62, 100] Generated Node #3: [62, 100] from Operation: 10*10=100 Current State: 38:[62, 100], Operations: ['96-86=10', '10*10=100'] Exploring Operation: 100-62=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 54, 5, 39, 88 ]
27
[ "5+39=44", "54*44=2376", "2376/88=27" ]
Current State: 27:[54, 5, 39, 88], Operations: [] Exploring Operation: 5+39=44, Resulting Numbers: [54, 88, 44] Generated Node #2: [54, 88, 44] from Operation: 5+39=44 Current State: 27:[54, 88, 44], Operations: ['5+39=44'] Exploring Operation: 54*44=2376, Resulting Numbers: [88, 2376] Generated Node #3: [88, 2376] from Operation: 54*44=2376 Current State: 27:[88, 2376], Operations: ['5+39=44', '54*44=2376'] Exploring Operation: 2376/88=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 22, 17, 13, 20 ]
12
[ "22-17=5", "20-13=7", "5+7=12" ]
Current State: 12:[22, 17, 13, 20], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [13, 20, 5] Generated Node #2: [13, 20, 5] from Operation: 22-17=5 Current State: 12:[13, 20, 5], Operations: ['22-17=5'] Exploring Operation: 20-13=7, Resulting Numbers: [5, 7] Generated Node #3: [5, 7] from Operation: 20-13=7 Current State: 12:[5, 7], Operations: ['22-17=5', '20-13=7'] Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 96, 8, 49, 98 ]
53
[ "98-96=2", "8/2=4", "49+4=53" ]
Current State: 53:[96, 8, 49, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [8, 49, 2] Generated Node #2: [8, 49, 2] from Operation: 98-96=2 Current State: 53:[8, 49, 2], Operations: ['98-96=2'] Exploring Operation: 8/2=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 8/2=4 Current State: 53:[49, 4], Operations: ['98-96=2', '8/2=4'] Exploring Operation: 49+4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 25, 24, 74, 13 ]
61
[ "25-24=1", "74-13=61", "1*61=61" ]
Current State: 61:[25, 24, 74, 13], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [74, 13, 1] Generated Node #2: [74, 13, 1] from Operation: 25-24=1 Current State: 61:[74, 13, 1], Operations: ['25-24=1'] Exploring Operation: 74-13=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 74-13=61 Current State: 61:[1, 61], Operations: ['25-24=1', '74-13=61'] Exploring Operation: 1*61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 57, 67, 38 ]
52
[ "24+57=81", "67-38=29", "81-29=52" ]
Current State: 52:[24, 57, 67, 38], Operations: [] Exploring Operation: 24+57=81, Resulting Numbers: [67, 38, 81] Generated Node #2: [67, 38, 81] from Operation: 24+57=81 Current State: 52:[67, 38, 81], Operations: ['24+57=81'] Exploring Operation: 67-38=29, Resulting Numbers: [81, 29] Generated Node #3: [81, 29] from Operation: 67-38=29 Current State: 52:[81, 29], Operations: ['24+57=81', '67-38=29'] Exploring Operation: 81-29=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 19, 14, 9, 13 ]
29
[ "19+14=33", "13-9=4", "33-4=29" ]
Current State: 29:[19, 14, 9, 13], Operations: [] Exploring Operation: 19+14=33, Resulting Numbers: [9, 13, 33] Generated Node #2: [9, 13, 33] from Operation: 19+14=33 Current State: 29:[9, 13, 33], Operations: ['19+14=33'] Exploring Operation: 13-9=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 13-9=4 Current State: 29:[33, 4], Operations: ['19+14=33', '13-9=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 50, 89, 22, 80 ]
81
[ "50+89=139", "80-22=58", "139-58=81" ]
Current State: 81:[50, 89, 22, 80], Operations: [] Exploring Operation: 50+89=139, Resulting Numbers: [22, 80, 139] Generated Node #2: [22, 80, 139] from Operation: 50+89=139 Current State: 81:[22, 80, 139], Operations: ['50+89=139'] Exploring Operation: 80-22=58, Resulting Numbers: [139, 58] Generated Node #3: [139, 58] from Operation: 80-22=58 Current State: 81:[139, 58], Operations: ['50+89=139', '80-22=58'] Exploring Operation: 139-58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 72, 62, 19 ]
98
[ "89-72=17", "62+19=81", "17+81=98" ]
Current State: 98:[89, 72, 62, 19], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [62, 19, 17] Generated Node #2: [62, 19, 17] from Operation: 89-72=17 Current State: 98:[62, 19, 17], Operations: ['89-72=17'] Exploring Operation: 62+19=81, Resulting Numbers: [17, 81] Generated Node #3: [17, 81] from Operation: 62+19=81 Current State: 98:[17, 81], Operations: ['89-72=17', '62+19=81'] Exploring Operation: 17+81=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 69, 47, 57, 3 ]
62
[ "69+47=116", "57-3=54", "116-54=62" ]
Current State: 62:[69, 47, 57, 3], Operations: [] Exploring Operation: 69+47=116, Resulting Numbers: [57, 3, 116] Generated Node #2: [57, 3, 116] from Operation: 69+47=116 Current State: 62:[57, 3, 116], Operations: ['69+47=116'] Exploring Operation: 57-3=54, Resulting Numbers: [116, 54] Generated Node #3: [116, 54] from Operation: 57-3=54 Current State: 62:[116, 54], Operations: ['69+47=116', '57-3=54'] Exploring Operation: 116-54=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 73, 50, 26 ]
71
[ "50-26=24", "6*24=144", "144-73=71" ]
Current State: 71:[6, 73, 50, 26], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [6, 73, 24] Generated Node #2: [6, 73, 24] from Operation: 50-26=24 Current State: 71:[6, 73, 24], Operations: ['50-26=24'] Exploring Operation: 6*24=144, Resulting Numbers: [73, 144] Generated Node #3: [73, 144] from Operation: 6*24=144 Current State: 71:[73, 144], Operations: ['50-26=24', '6*24=144'] Exploring Operation: 144-73=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 52, 17, 13 ]
65
[ "12*52=624", "624/13=48", "17+48=65" ]
Current State: 65:[12, 52, 17, 13], Operations: [] Exploring Operation: 12*52=624, Resulting Numbers: [17, 13, 624] Generated Node #2: [17, 13, 624] from Operation: 12*52=624 Current State: 65:[17, 13, 624], Operations: ['12*52=624'] Exploring Operation: 624/13=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 624/13=48 Current State: 65:[17, 48], Operations: ['12*52=624', '624/13=48'] Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 97, 35, 59 ]
28
[ "97-31=66", "35+59=94", "94-66=28" ]
Current State: 28:[31, 97, 35, 59], Operations: [] Exploring Operation: 97-31=66, Resulting Numbers: [35, 59, 66] Generated Node #2: [35, 59, 66] from Operation: 97-31=66 Current State: 28:[35, 59, 66], Operations: ['97-31=66'] Exploring Operation: 35+59=94, Resulting Numbers: [66, 94] Generated Node #3: [66, 94] from Operation: 35+59=94 Current State: 28:[66, 94], Operations: ['97-31=66', '35+59=94'] Exploring Operation: 94-66=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 34, 3, 15, 1 ]
21
[ "34+3=37", "15+1=16", "37-16=21" ]
Current State: 21:[34, 3, 15, 1], Operations: [] Exploring Operation: 34+3=37, Resulting Numbers: [15, 1, 37] Generated Node #2: [15, 1, 37] from Operation: 34+3=37 Current State: 21:[15, 1, 37], Operations: ['34+3=37'] Exploring Operation: 15+1=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 15+1=16 Current State: 21:[37, 16], Operations: ['34+3=37', '15+1=16'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 64, 79, 56, 32 ]
39
[ "79-64=15", "56-32=24", "15+24=39" ]
Current State: 39:[64, 79, 56, 32], Operations: [] Exploring Operation: 79-64=15, Resulting Numbers: [56, 32, 15] Generated Node #2: [56, 32, 15] from Operation: 79-64=15 Current State: 39:[56, 32, 15], Operations: ['79-64=15'] Exploring Operation: 56-32=24, Resulting Numbers: [15, 24] Generated Node #3: [15, 24] from Operation: 56-32=24 Current State: 39:[15, 24], Operations: ['79-64=15', '56-32=24'] Exploring Operation: 15+24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 45, 51, 36, 52 ]
96
[ "51-45=6", "52-36=16", "6*16=96" ]
Current State: 96:[45, 51, 36, 52], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [36, 52, 6] Generated Node #2: [36, 52, 6] from Operation: 51-45=6 Current State: 96:[36, 52, 6], Operations: ['51-45=6'] Exploring Operation: 52-36=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 52-36=16 Current State: 96:[6, 16], Operations: ['51-45=6', '52-36=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 22, 54, 5, 41 ]
82
[ "22+5=27", "54*41=2214", "2214/27=82" ]
Current State: 82:[22, 54, 5, 41], Operations: [] Exploring Operation: 22+5=27, Resulting Numbers: [54, 41, 27] Generated Node #2: [54, 41, 27] from Operation: 22+5=27 Current State: 82:[54, 41, 27], Operations: ['22+5=27'] Exploring Operation: 54*41=2214, Resulting Numbers: [27, 2214] Generated Node #3: [27, 2214] from Operation: 54*41=2214 Current State: 82:[27, 2214], Operations: ['22+5=27', '54*41=2214'] Exploring Operation: 2214/27=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 22, 84, 60 ]
48
[ "50+22=72", "84-60=24", "72-24=48" ]
Current State: 48:[50, 22, 84, 60], Operations: [] Exploring Operation: 50+22=72, Resulting Numbers: [84, 60, 72] Generated Node #2: [84, 60, 72] from Operation: 50+22=72 Current State: 48:[84, 60, 72], Operations: ['50+22=72'] Exploring Operation: 84-60=24, Resulting Numbers: [72, 24] Generated Node #3: [72, 24] from Operation: 84-60=24 Current State: 48:[72, 24], Operations: ['50+22=72', '84-60=24'] Exploring Operation: 72-24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 43, 84, 58, 45 ]
16
[ "45-43=2", "84/2=42", "58-42=16" ]
Current State: 16:[43, 84, 58, 45], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [84, 58, 2] Generated Node #2: [84, 58, 2] from Operation: 45-43=2 Current State: 16:[84, 58, 2], Operations: ['45-43=2'] Exploring Operation: 84/2=42, Resulting Numbers: [58, 42] Generated Node #3: [58, 42] from Operation: 84/2=42 Current State: 16:[58, 42], Operations: ['45-43=2', '84/2=42'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 65, 96, 33 ]
46
[ "96-91=5", "65/5=13", "33+13=46" ]
Current State: 46:[91, 65, 96, 33], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [65, 33, 5] Generated Node #2: [65, 33, 5] from Operation: 96-91=5 Current State: 46:[65, 33, 5], Operations: ['96-91=5'] Exploring Operation: 65/5=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 65/5=13 Current State: 46:[33, 13], Operations: ['96-91=5', '65/5=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 29, 35, 35, 6 ]
24
[ "29-6=23", "35/35=1", "23+1=24" ]
Current State: 24:[29, 35, 35, 6], Operations: [] Exploring Operation: 29-6=23, Resulting Numbers: [35, 35, 23] Generated Node #2: [35, 35, 23] from Operation: 29-6=23 Current State: 24:[35, 35, 23], Operations: ['29-6=23'] Exploring Operation: 35/35=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 35/35=1 Current State: 24:[23, 1], Operations: ['29-6=23', '35/35=1'] Exploring Operation: 23+1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 76, 80, 72, 36 ]
54
[ "80-76=4", "72/4=18", "36+18=54" ]
Current State: 54:[76, 80, 72, 36], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [72, 36, 4] Generated Node #2: [72, 36, 4] from Operation: 80-76=4 Current State: 54:[72, 36, 4], Operations: ['80-76=4'] Exploring Operation: 72/4=18, Resulting Numbers: [36, 18] Generated Node #3: [36, 18] from Operation: 72/4=18 Current State: 54:[36, 18], Operations: ['80-76=4', '72/4=18'] Exploring Operation: 36+18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 65, 12, 70, 72 ]
22
[ "72-65=7", "70/7=10", "12+10=22" ]
Current State: 22:[65, 12, 70, 72], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [12, 70, 7] Generated Node #2: [12, 70, 7] from Operation: 72-65=7 Current State: 22:[12, 70, 7], Operations: ['72-65=7'] Exploring Operation: 70/7=10, Resulting Numbers: [12, 10] Generated Node #3: [12, 10] from Operation: 70/7=10 Current State: 22:[12, 10], Operations: ['72-65=7', '70/7=10'] Exploring Operation: 12+10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 3, 69, 94 ]
84
[ "29+94=123", "3*69=207", "207-123=84" ]
Current State: 84:[29, 3, 69, 94], Operations: [] Exploring Operation: 29+94=123, Resulting Numbers: [3, 69, 123] Generated Node #2: [3, 69, 123] from Operation: 29+94=123 Current State: 84:[3, 69, 123], Operations: ['29+94=123'] Exploring Operation: 3*69=207, Resulting Numbers: [123, 207] Generated Node #3: [123, 207] from Operation: 3*69=207 Current State: 84:[123, 207], Operations: ['29+94=123', '3*69=207'] Exploring Operation: 207-123=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 17, 50, 21 ]
15
[ "50-21=29", "58/29=2", "17-2=15" ]
Current State: 15:[58, 17, 50, 21], Operations: [] Exploring Operation: 50-21=29, Resulting Numbers: [58, 17, 29] Generated Node #2: [58, 17, 29] from Operation: 50-21=29 Current State: 15:[58, 17, 29], Operations: ['50-21=29'] Exploring Operation: 58/29=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 58/29=2 Current State: 15:[17, 2], Operations: ['50-21=29', '58/29=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 24, 28, 2 ]
56
[ "24-23=1", "28*2=56", "1*56=56" ]
Current State: 56:[23, 24, 28, 2], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [28, 2, 1] Generated Node #2: [28, 2, 1] from Operation: 24-23=1 Current State: 56:[28, 2, 1], Operations: ['24-23=1'] Exploring Operation: 28*2=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 28*2=56 Current State: 56:[1, 56], Operations: ['24-23=1', '28*2=56'] Exploring Operation: 1*56=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 40, 85, 31, 16 ]
60
[ "85-40=45", "31-16=15", "45+15=60" ]
Current State: 60:[40, 85, 31, 16], Operations: [] Exploring Operation: 85-40=45, Resulting Numbers: [31, 16, 45] Generated Node #2: [31, 16, 45] from Operation: 85-40=45 Current State: 60:[31, 16, 45], Operations: ['85-40=45'] Exploring Operation: 31-16=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 31-16=15 Current State: 60:[45, 15], Operations: ['85-40=45', '31-16=15'] Exploring Operation: 45+15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 27, 65, 23 ]
24
[ "45-27=18", "65-23=42", "42-18=24" ]
Current State: 24:[45, 27, 65, 23], Operations: [] Exploring Operation: 45-27=18, Resulting Numbers: [65, 23, 18] Generated Node #2: [65, 23, 18] from Operation: 45-27=18 Current State: 24:[65, 23, 18], Operations: ['45-27=18'] Exploring Operation: 65-23=42, Resulting Numbers: [18, 42] Generated Node #3: [18, 42] from Operation: 65-23=42 Current State: 24:[18, 42], Operations: ['45-27=18', '65-23=42'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 40, 6, 60 ]
42
[ "34-6=28", "60*28=1680", "1680/40=42" ]
Current State: 42:[34, 40, 6, 60], Operations: [] Exploring Operation: 34-6=28, Resulting Numbers: [40, 60, 28] Generated Node #2: [40, 60, 28] from Operation: 34-6=28 Current State: 42:[40, 60, 28], Operations: ['34-6=28'] Exploring Operation: 60*28=1680, Resulting Numbers: [40, 1680] Generated Node #3: [40, 1680] from Operation: 60*28=1680 Current State: 42:[40, 1680], Operations: ['34-6=28', '60*28=1680'] Exploring Operation: 1680/40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 35, 43, 46 ]
36
[ "68-35=33", "46-43=3", "33+3=36" ]
Current State: 36:[68, 35, 43, 46], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [43, 46, 33] Generated Node #2: [43, 46, 33] from Operation: 68-35=33 Current State: 36:[43, 46, 33], Operations: ['68-35=33'] Exploring Operation: 46-43=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 46-43=3 Current State: 36:[33, 3], Operations: ['68-35=33', '46-43=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 24, 12, 20 ]
29
[ "24-20=4", "87*4=348", "348/12=29" ]
Current State: 29:[87, 24, 12, 20], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [87, 12, 4] Generated Node #2: [87, 12, 4] from Operation: 24-20=4 Current State: 29:[87, 12, 4], Operations: ['24-20=4'] Exploring Operation: 87*4=348, Resulting Numbers: [12, 348] Generated Node #3: [12, 348] from Operation: 87*4=348 Current State: 29:[12, 348], Operations: ['24-20=4', '87*4=348'] Exploring Operation: 348/12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 54, 88, 8, 32 ]
10
[ "88-54=34", "32-8=24", "34-24=10" ]
Current State: 10:[54, 88, 8, 32], Operations: [] Exploring Operation: 88-54=34, Resulting Numbers: [8, 32, 34] Generated Node #2: [8, 32, 34] from Operation: 88-54=34 Current State: 10:[8, 32, 34], Operations: ['88-54=34'] Exploring Operation: 32-8=24, Resulting Numbers: [34, 24] Generated Node #3: [34, 24] from Operation: 32-8=24 Current State: 10:[34, 24], Operations: ['88-54=34', '32-8=24'] Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 61, 51, 20 ]
56
[ "20/10=2", "61+51=112", "112/2=56" ]
Current State: 56:[10, 61, 51, 20], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [61, 51, 2] Generated Node #2: [61, 51, 2] from Operation: 20/10=2 Current State: 56:[61, 51, 2], Operations: ['20/10=2'] Exploring Operation: 61+51=112, Resulting Numbers: [2, 112] Generated Node #3: [2, 112] from Operation: 61+51=112 Current State: 56:[2, 112], Operations: ['20/10=2', '61+51=112'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 78, 42, 2, 29 ]
26
[ "78/2=39", "42-29=13", "39-13=26" ]
Current State: 26:[78, 42, 2, 29], Operations: [] Exploring Operation: 78/2=39, Resulting Numbers: [42, 29, 39] Generated Node #2: [42, 29, 39] from Operation: 78/2=39 Current State: 26:[42, 29, 39], Operations: ['78/2=39'] Exploring Operation: 42-29=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 42-29=13 Current State: 26:[39, 13], Operations: ['78/2=39', '42-29=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 81, 84, 38, 86 ]
41
[ "81+84=165", "38+86=124", "165-124=41" ]
Current State: 41:[81, 84, 38, 86], Operations: [] Exploring Operation: 81+84=165, Resulting Numbers: [38, 86, 165] Generated Node #2: [38, 86, 165] from Operation: 81+84=165 Current State: 41:[38, 86, 165], Operations: ['81+84=165'] Exploring Operation: 38+86=124, Resulting Numbers: [165, 124] Generated Node #3: [165, 124] from Operation: 38+86=124 Current State: 41:[165, 124], Operations: ['81+84=165', '38+86=124'] Exploring Operation: 165-124=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 49, 78, 20, 20 ]
22
[ "78+20=98", "98/49=2", "20+2=22" ]
Current State: 22:[49, 78, 20, 20], Operations: [] Exploring Operation: 78+20=98, Resulting Numbers: [49, 98] Generated Node #2: [49, 98] from Operation: 78+20=98 Current State: 22:[49, 98], Operations: ['78+20=98'] Exploring Operation: 98/49=2, Resulting Numbers: [2] 2,22 equal: Goal Reached Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 57, 12, 81 ]
13
[ "26*12=312", "81-57=24", "312/24=13" ]
Current State: 13:[26, 57, 12, 81], Operations: [] Exploring Operation: 26*12=312, Resulting Numbers: [57, 81, 312] Generated Node #2: [57, 81, 312] from Operation: 26*12=312 Current State: 13:[57, 81, 312], Operations: ['26*12=312'] Exploring Operation: 81-57=24, Resulting Numbers: [312, 24] Generated Node #3: [312, 24] from Operation: 81-57=24 Current State: 13:[312, 24], Operations: ['26*12=312', '81-57=24'] Exploring Operation: 312/24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 50, 60, 1 ]
80
[ "50-30=20", "60*1=60", "20+60=80" ]
Current State: 80:[30, 50, 60, 1], Operations: [] Exploring Operation: 50-30=20, Resulting Numbers: [60, 1, 20] Generated Node #2: [60, 1, 20] from Operation: 50-30=20 Current State: 80:[60, 1, 20], Operations: ['50-30=20'] Exploring Operation: 60*1=60, Resulting Numbers: [20, 60] Generated Node #3: [20, 60] from Operation: 60*1=60 Current State: 80:[20, 60], Operations: ['50-30=20', '60*1=60'] Exploring Operation: 20+60=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 28, 18, 28, 91 ]
98
[ "91-28=63", "28*63=1764", "1764/18=98" ]
Current State: 98:[28, 18, 28, 91], Operations: [] Exploring Operation: 91-28=63, Resulting Numbers: [18, 63] Generated Node #2: [18, 63] from Operation: 91-28=63 Current State: 98:[18, 63], Operations: ['91-28=63'] Exploring Operation: 28*63=1764, Resulting Numbers: [18, 1764] Generated Node #3: [18, 1764] from Operation: 28*63=1764 Current State: 98:[18, 1764], Operations: ['91-28=63', '28*63=1764'] Exploring Operation: 1764/18=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 2, 53, 76 ]
83
[ "37+53=90", "76+90=166", "166/2=83" ]
Current State: 83:[37, 2, 53, 76], Operations: [] Exploring Operation: 37+53=90, Resulting Numbers: [2, 76, 90] Generated Node #2: [2, 76, 90] from Operation: 37+53=90 Current State: 83:[2, 76, 90], Operations: ['37+53=90'] Exploring Operation: 76+90=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 76+90=166 Current State: 83:[2, 166], Operations: ['37+53=90', '76+90=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 71, 74, 59, 65 ]
90
[ "71-65=6", "74-59=15", "6*15=90" ]
Current State: 90:[71, 74, 59, 65], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [74, 59, 6] Generated Node #2: [74, 59, 6] from Operation: 71-65=6 Current State: 90:[74, 59, 6], Operations: ['71-65=6'] Exploring Operation: 74-59=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 74-59=15 Current State: 90:[6, 15], Operations: ['71-65=6', '74-59=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 87, 6, 85, 89 ]
89
[ "87+6=93", "89-85=4", "93-4=89" ]
Current State: 89:[87, 6, 85, 89], Operations: [] Exploring Operation: 87+6=93, Resulting Numbers: [85, 89, 93] Generated Node #2: [85, 89, 93] from Operation: 87+6=93 Current State: 89:[85, 89, 93], Operations: ['87+6=93'] Exploring Operation: 89-85=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 89-85=4 Current State: 89:[93, 4], Operations: ['87+6=93', '89-85=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 92, 19, 12, 1 ]
99
[ "92+19=111", "12*1=12", "111-12=99" ]
Current State: 99:[92, 19, 12, 1], Operations: [] Exploring Operation: 92+19=111, Resulting Numbers: [12, 1, 111] Generated Node #2: [12, 1, 111] from Operation: 92+19=111 Current State: 99:[12, 1, 111], Operations: ['92+19=111'] Exploring Operation: 12*1=12, Resulting Numbers: [111, 12] Generated Node #3: [111, 12] from Operation: 12*1=12 Current State: 99:[111, 12], Operations: ['92+19=111', '12*1=12'] Exploring Operation: 111-12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 45, 89, 5, 95 ]
45
[ "89+5=94", "95-94=1", "45*1=45" ]
Current State: 45:[45, 89, 5, 95], Operations: [] Exploring Operation: 89+5=94, Resulting Numbers: [45, 95, 94] Generated Node #2: [45, 95, 94] from Operation: 89+5=94 Current State: 45:[45, 95, 94], Operations: ['89+5=94'] Exploring Operation: 95-94=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 95-94=1 Current State: 45:[45, 1], Operations: ['89+5=94', '95-94=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 23, 76, 44 ]
46
[ "23-9=14", "76-44=32", "14+32=46" ]
Current State: 46:[9, 23, 76, 44], Operations: [] Exploring Operation: 23-9=14, Resulting Numbers: [76, 44, 14] Generated Node #2: [76, 44, 14] from Operation: 23-9=14 Current State: 46:[76, 44, 14], Operations: ['23-9=14'] Exploring Operation: 76-44=32, Resulting Numbers: [14, 32] Generated Node #3: [14, 32] from Operation: 76-44=32 Current State: 46:[14, 32], Operations: ['23-9=14', '76-44=32'] Exploring Operation: 14+32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 34, 78, 3 ]
39
[ "5+34=39", "78+39=117", "117/3=39" ]
Current State: 39:[5, 34, 78, 3], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [78, 3, 39] Generated Node #2: [78, 3, 39] from Operation: 5+34=39 Current State: 39:[78, 3, 39], Operations: ['5+34=39'] Exploring Operation: 78+39=117, Resulting Numbers: [3, 117] Generated Node #3: [3, 117] from Operation: 78+39=117 Current State: 39:[3, 117], Operations: ['5+34=39', '78+39=117'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 35, 96, 52 ]
53
[ "76*35=2660", "96+2660=2756", "2756/52=53" ]
Current State: 53:[76, 35, 96, 52], Operations: [] Exploring Operation: 76*35=2660, Resulting Numbers: [96, 52, 2660] Generated Node #2: [96, 52, 2660] from Operation: 76*35=2660 Current State: 53:[96, 52, 2660], Operations: ['76*35=2660'] Exploring Operation: 96+2660=2756, Resulting Numbers: [52, 2756] Generated Node #3: [52, 2756] from Operation: 96+2660=2756 Current State: 53:[52, 2756], Operations: ['76*35=2660', '96+2660=2756'] Exploring Operation: 2756/52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 31, 89, 26 ]
90
[ "56-31=25", "89+26=115", "115-25=90" ]
Current State: 90:[56, 31, 89, 26], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [89, 26, 25] Generated Node #2: [89, 26, 25] from Operation: 56-31=25 Current State: 90:[89, 26, 25], Operations: ['56-31=25'] Exploring Operation: 89+26=115, Resulting Numbers: [25, 115] Generated Node #3: [25, 115] from Operation: 89+26=115 Current State: 90:[25, 115], Operations: ['56-31=25', '89+26=115'] Exploring Operation: 115-25=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 9, 25, 71 ]
41
[ "71-69=2", "25*2=50", "50-9=41" ]
Current State: 41:[69, 9, 25, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [9, 25, 2] Generated Node #2: [9, 25, 2] from Operation: 71-69=2 Current State: 41:[9, 25, 2], Operations: ['71-69=2'] Exploring Operation: 25*2=50, Resulting Numbers: [9, 50] Generated Node #3: [9, 50] from Operation: 25*2=50 Current State: 41:[9, 50], Operations: ['71-69=2', '25*2=50'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 56, 30, 87 ]
98
[ "56-15=41", "87-30=57", "41+57=98" ]
Current State: 98:[15, 56, 30, 87], Operations: [] Exploring Operation: 56-15=41, Resulting Numbers: [30, 87, 41] Generated Node #2: [30, 87, 41] from Operation: 56-15=41 Current State: 98:[30, 87, 41], Operations: ['56-15=41'] Exploring Operation: 87-30=57, Resulting Numbers: [41, 57] Generated Node #3: [41, 57] from Operation: 87-30=57 Current State: 98:[41, 57], Operations: ['56-15=41', '87-30=57'] Exploring Operation: 41+57=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 45, 33, 11, 56 ]
76
[ "45-33=12", "11*12=132", "132-56=76" ]
Current State: 76:[45, 33, 11, 56], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [11, 56, 12] Generated Node #2: [11, 56, 12] from Operation: 45-33=12 Current State: 76:[11, 56, 12], Operations: ['45-33=12'] Exploring Operation: 11*12=132, Resulting Numbers: [56, 132] Generated Node #3: [56, 132] from Operation: 11*12=132 Current State: 76:[56, 132], Operations: ['45-33=12', '11*12=132'] Exploring Operation: 132-56=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 96, 6, 46, 40 ]
98
[ "96+46=142", "6*40=240", "240-142=98" ]
Current State: 98:[96, 6, 46, 40], Operations: [] Exploring Operation: 96+46=142, Resulting Numbers: [6, 40, 142] Generated Node #2: [6, 40, 142] from Operation: 96+46=142 Current State: 98:[6, 40, 142], Operations: ['96+46=142'] Exploring Operation: 6*40=240, Resulting Numbers: [142, 240] Generated Node #3: [142, 240] from Operation: 6*40=240 Current State: 98:[142, 240], Operations: ['96+46=142', '6*40=240'] Exploring Operation: 240-142=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 1, 29, 59, 74 ]
45
[ "1+29=30", "74-59=15", "30+15=45" ]
Current State: 45:[1, 29, 59, 74], Operations: [] Exploring Operation: 1+29=30, Resulting Numbers: [59, 74, 30] Generated Node #2: [59, 74, 30] from Operation: 1+29=30 Current State: 45:[59, 74, 30], Operations: ['1+29=30'] Exploring Operation: 74-59=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 74-59=15 Current State: 45:[30, 15], Operations: ['1+29=30', '74-59=15'] Exploring Operation: 30+15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 43, 58, 22, 52 ]
89
[ "58-43=15", "22+52=74", "15+74=89" ]
Current State: 89:[43, 58, 22, 52], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [22, 52, 15] Generated Node #2: [22, 52, 15] from Operation: 58-43=15 Current State: 89:[22, 52, 15], Operations: ['58-43=15'] Exploring Operation: 22+52=74, Resulting Numbers: [15, 74] Generated Node #3: [15, 74] from Operation: 22+52=74 Current State: 89:[15, 74], Operations: ['58-43=15', '22+52=74'] Exploring Operation: 15+74=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 41, 25, 32 ]
36
[ "32-25=7", "35/7=5", "41-5=36" ]
Current State: 36:[35, 41, 25, 32], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [35, 41, 7] Generated Node #2: [35, 41, 7] from Operation: 32-25=7 Current State: 36:[35, 41, 7], Operations: ['32-25=7'] Exploring Operation: 35/7=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 35/7=5 Current State: 36:[41, 5], Operations: ['32-25=7', '35/7=5'] Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 54, 51, 12 ]
85
[ "94+54=148", "51+12=63", "148-63=85" ]
Current State: 85:[94, 54, 51, 12], Operations: [] Exploring Operation: 94+54=148, Resulting Numbers: [51, 12, 148] Generated Node #2: [51, 12, 148] from Operation: 94+54=148 Current State: 85:[51, 12, 148], Operations: ['94+54=148'] Exploring Operation: 51+12=63, Resulting Numbers: [148, 63] Generated Node #3: [148, 63] from Operation: 51+12=63 Current State: 85:[148, 63], Operations: ['94+54=148', '51+12=63'] Exploring Operation: 148-63=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 60, 54, 25, 79 ]
98
[ "60-54=6", "25+79=104", "104-6=98" ]
Current State: 98:[60, 54, 25, 79], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [25, 79, 6] Generated Node #2: [25, 79, 6] from Operation: 60-54=6 Current State: 98:[25, 79, 6], Operations: ['60-54=6'] Exploring Operation: 25+79=104, Resulting Numbers: [6, 104] Generated Node #3: [6, 104] from Operation: 25+79=104 Current State: 98:[6, 104], Operations: ['60-54=6', '25+79=104'] Exploring Operation: 104-6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 69, 23, 80, 8 ]
35
[ "69+80=149", "23*8=184", "184-149=35" ]
Current State: 35:[69, 23, 80, 8], Operations: [] Exploring Operation: 69+80=149, Resulting Numbers: [23, 8, 149] Generated Node #2: [23, 8, 149] from Operation: 69+80=149 Current State: 35:[23, 8, 149], Operations: ['69+80=149'] Exploring Operation: 23*8=184, Resulting Numbers: [149, 184] Generated Node #3: [149, 184] from Operation: 23*8=184 Current State: 35:[149, 184], Operations: ['69+80=149', '23*8=184'] Exploring Operation: 184-149=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 7, 10, 40 ]
79
[ "10-7=3", "13*3=39", "40+39=79" ]
Current State: 79:[13, 7, 10, 40], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [13, 40, 3] Generated Node #2: [13, 40, 3] from Operation: 10-7=3 Current State: 79:[13, 40, 3], Operations: ['10-7=3'] Exploring Operation: 13*3=39, Resulting Numbers: [40, 39] Generated Node #3: [40, 39] from Operation: 13*3=39 Current State: 79:[40, 39], Operations: ['10-7=3', '13*3=39'] Exploring Operation: 40+39=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 26, 23, 79, 31 ]
97
[ "26+23=49", "79-31=48", "49+48=97" ]
Current State: 97:[26, 23, 79, 31], Operations: [] Exploring Operation: 26+23=49, Resulting Numbers: [79, 31, 49] Generated Node #2: [79, 31, 49] from Operation: 26+23=49 Current State: 97:[79, 31, 49], Operations: ['26+23=49'] Exploring Operation: 79-31=48, Resulting Numbers: [49, 48] Generated Node #3: [49, 48] from Operation: 79-31=48 Current State: 97:[49, 48], Operations: ['26+23=49', '79-31=48'] Exploring Operation: 49+48=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 19, 86, 42, 64 ]
89
[ "86-19=67", "64-42=22", "67+22=89" ]
Current State: 89:[19, 86, 42, 64], Operations: [] Exploring Operation: 86-19=67, Resulting Numbers: [42, 64, 67] Generated Node #2: [42, 64, 67] from Operation: 86-19=67 Current State: 89:[42, 64, 67], Operations: ['86-19=67'] Exploring Operation: 64-42=22, Resulting Numbers: [67, 22] Generated Node #3: [67, 22] from Operation: 64-42=22 Current State: 89:[67, 22], Operations: ['86-19=67', '64-42=22'] Exploring Operation: 67+22=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 95, 7, 2, 39 ]
21
[ "95-39=56", "56/2=28", "28-7=21" ]
Current State: 21:[95, 7, 2, 39], Operations: [] Exploring Operation: 95-39=56, Resulting Numbers: [7, 2, 56] Generated Node #2: [7, 2, 56] from Operation: 95-39=56 Current State: 21:[7, 2, 56], Operations: ['95-39=56'] Exploring Operation: 56/2=28, Resulting Numbers: [7, 28] Generated Node #3: [7, 28] from Operation: 56/2=28 Current State: 21:[7, 28], Operations: ['95-39=56', '56/2=28'] Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 54, 78, 83 ]
39
[ "88-54=34", "83-78=5", "34+5=39" ]
Current State: 39:[88, 54, 78, 83], Operations: [] Exploring Operation: 88-54=34, Resulting Numbers: [78, 83, 34] Generated Node #2: [78, 83, 34] from Operation: 88-54=34 Current State: 39:[78, 83, 34], Operations: ['88-54=34'] Exploring Operation: 83-78=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 83-78=5 Current State: 39:[34, 5], Operations: ['88-54=34', '83-78=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 38, 57, 60, 63 ]
57
[ "57-38=19", "63-60=3", "19*3=57" ]
Current State: 57:[38, 57, 60, 63], Operations: [] Exploring Operation: 57-38=19, Resulting Numbers: [60, 63, 19] Generated Node #2: [60, 63, 19] from Operation: 57-38=19 Current State: 57:[60, 63, 19], Operations: ['57-38=19'] Exploring Operation: 63-60=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 63-60=3 Current State: 57:[19, 3], Operations: ['57-38=19', '63-60=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 55, 41, 68 ]
12
[ "68-60=8", "55+41=96", "96/8=12" ]
Current State: 12:[60, 55, 41, 68], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [55, 41, 8] Generated Node #2: [55, 41, 8] from Operation: 68-60=8 Current State: 12:[55, 41, 8], Operations: ['68-60=8'] Exploring Operation: 55+41=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 55+41=96 Current State: 12:[8, 96], Operations: ['68-60=8', '55+41=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 14, 53, 65 ]
20
[ "18+14=32", "65-53=12", "32-12=20" ]
Current State: 20:[18, 14, 53, 65], Operations: [] Exploring Operation: 18+14=32, Resulting Numbers: [53, 65, 32] Generated Node #2: [53, 65, 32] from Operation: 18+14=32 Current State: 20:[53, 65, 32], Operations: ['18+14=32'] Exploring Operation: 65-53=12, Resulting Numbers: [32, 12] Generated Node #3: [32, 12] from Operation: 65-53=12 Current State: 20:[32, 12], Operations: ['18+14=32', '65-53=12'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 1, 88, 47, 90 ]
93
[ "90-88=2", "47*2=94", "94-1=93" ]
Current State: 93:[1, 88, 47, 90], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [1, 47, 2] Generated Node #2: [1, 47, 2] from Operation: 90-88=2 Current State: 93:[1, 47, 2], Operations: ['90-88=2'] Exploring Operation: 47*2=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 47*2=94 Current State: 93:[1, 94], Operations: ['90-88=2', '47*2=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 90, 39, 6 ]
53
[ "39+6=45", "90/45=2", "51+2=53" ]
Current State: 53:[51, 90, 39, 6], Operations: [] Exploring Operation: 39+6=45, Resulting Numbers: [51, 90, 45] Generated Node #2: [51, 90, 45] from Operation: 39+6=45 Current State: 53:[51, 90, 45], Operations: ['39+6=45'] Exploring Operation: 90/45=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 90/45=2 Current State: 53:[51, 2], Operations: ['39+6=45', '90/45=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4