nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 49, 19, 80, 75 ]
32
[ "49-19=30", "80*30=2400", "2400/75=32" ]
Current State: 32:[49, 19, 80, 75], Operations: [] Exploring Operation: 49-19=30, Resulting Numbers: [80, 75, 30] Generated Node #2: [80, 75, 30] from Operation: 49-19=30 Current State: 32:[80, 75, 30], Operations: ['49-19=30'] Exploring Operation: 80*30=2400, Resulting Numbers: [75, 2400] Generated Node #3: [75, 2400] from Operation: 80*30=2400 Current State: 32:[75, 2400], Operations: ['49-19=30', '80*30=2400'] Exploring Operation: 2400/75=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 22, 45, 95 ]
65
[ "22-7=15", "95-45=50", "15+50=65" ]
Current State: 65:[7, 22, 45, 95], Operations: [] Exploring Operation: 22-7=15, Resulting Numbers: [45, 95, 15] Generated Node #2: [45, 95, 15] from Operation: 22-7=15 Current State: 65:[45, 95, 15], Operations: ['22-7=15'] Exploring Operation: 95-45=50, Resulting Numbers: [15, 50] Generated Node #3: [15, 50] from Operation: 95-45=50 Current State: 65:[15, 50], Operations: ['22-7=15', '95-45=50'] Exploring Operation: 15+50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 72, 38, 54, 80 ]
84
[ "72+38=110", "80-54=26", "110-26=84" ]
Current State: 84:[72, 38, 54, 80], Operations: [] Exploring Operation: 72+38=110, Resulting Numbers: [54, 80, 110] Generated Node #2: [54, 80, 110] from Operation: 72+38=110 Current State: 84:[54, 80, 110], Operations: ['72+38=110'] Exploring Operation: 80-54=26, Resulting Numbers: [110, 26] Generated Node #3: [110, 26] from Operation: 80-54=26 Current State: 84:[110, 26], Operations: ['72+38=110', '80-54=26'] Exploring Operation: 110-26=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 31, 48, 64 ]
47
[ "96-31=65", "48+64=112", "112-65=47" ]
Current State: 47:[96, 31, 48, 64], Operations: [] Exploring Operation: 96-31=65, Resulting Numbers: [48, 64, 65] Generated Node #2: [48, 64, 65] from Operation: 96-31=65 Current State: 47:[48, 64, 65], Operations: ['96-31=65'] Exploring Operation: 48+64=112, Resulting Numbers: [65, 112] Generated Node #3: [65, 112] from Operation: 48+64=112 Current State: 47:[65, 112], Operations: ['96-31=65', '48+64=112'] Exploring Operation: 112-65=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 45, 60, 12 ]
99
[ "60-45=15", "15-12=3", "33*3=99" ]
Current State: 99:[33, 45, 60, 12], Operations: [] Exploring Operation: 60-45=15, Resulting Numbers: [33, 12, 15] Generated Node #2: [33, 12, 15] from Operation: 60-45=15 Current State: 99:[33, 12, 15], Operations: ['60-45=15'] Exploring Operation: 15-12=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 15-12=3 Current State: 99:[33, 3], Operations: ['60-45=15', '15-12=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 84, 49, 16, 72 ]
91
[ "84-49=35", "72-16=56", "35+56=91" ]
Current State: 91:[84, 49, 16, 72], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [16, 72, 35] Generated Node #2: [16, 72, 35] from Operation: 84-49=35 Current State: 91:[16, 72, 35], Operations: ['84-49=35'] Exploring Operation: 72-16=56, Resulting Numbers: [35, 56] Generated Node #3: [35, 56] from Operation: 72-16=56 Current State: 91:[35, 56], Operations: ['84-49=35', '72-16=56'] Exploring Operation: 35+56=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 45, 35, 33 ]
15
[ "35-33=2", "6/2=3", "45/3=15" ]
Current State: 15:[6, 45, 35, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [6, 45, 2] Generated Node #2: [6, 45, 2] from Operation: 35-33=2 Current State: 15:[6, 45, 2], Operations: ['35-33=2'] Exploring Operation: 6/2=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 6/2=3 Current State: 15:[45, 3], Operations: ['35-33=2', '6/2=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 91, 80, 29, 8 ]
10
[ "91-80=11", "29-8=21", "21-11=10" ]
Current State: 10:[91, 80, 29, 8], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [29, 8, 11] Generated Node #2: [29, 8, 11] from Operation: 91-80=11 Current State: 10:[29, 8, 11], Operations: ['91-80=11'] Exploring Operation: 29-8=21, Resulting Numbers: [11, 21] Generated Node #3: [11, 21] from Operation: 29-8=21 Current State: 10:[11, 21], Operations: ['91-80=11', '29-8=21'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 45, 90, 11, 8 ]
64
[ "90-45=45", "11+8=19", "45+19=64" ]
Current State: 64:[45, 90, 11, 8], Operations: [] Exploring Operation: 90-45=45, Resulting Numbers: [11, 8, 45] Generated Node #2: [11, 8, 45] from Operation: 90-45=45 Current State: 64:[11, 8, 45], Operations: ['90-45=45'] Exploring Operation: 11+8=19, Resulting Numbers: [45, 19] Generated Node #3: [45, 19] from Operation: 11+8=19 Current State: 64:[45, 19], Operations: ['90-45=45', '11+8=19'] Exploring Operation: 45+19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 33, 37, 28, 33 ]
79
[ "37-33=4", "28*4=112", "112-33=79" ]
Current State: 79:[33, 37, 28, 33], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [28, 4] Generated Node #2: [28, 4] from Operation: 37-33=4 Current State: 79:[28, 4], Operations: ['37-33=4'] Exploring Operation: 28*4=112, Resulting Numbers: [112] 112,79 equal: Goal Reached Exploring Operation: 112-33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 99, 44, 66, 97 ]
20
[ "99+44=143", "66+97=163", "163-143=20" ]
Current State: 20:[99, 44, 66, 97], Operations: [] Exploring Operation: 99+44=143, Resulting Numbers: [66, 97, 143] Generated Node #2: [66, 97, 143] from Operation: 99+44=143 Current State: 20:[66, 97, 143], Operations: ['99+44=143'] Exploring Operation: 66+97=163, Resulting Numbers: [143, 163] Generated Node #3: [143, 163] from Operation: 66+97=163 Current State: 20:[143, 163], Operations: ['99+44=143', '66+97=163'] Exploring Operation: 163-143=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 19, 22, 83, 2 ]
96
[ "22*83=1826", "1826-2=1824", "1824/19=96" ]
Current State: 96:[19, 22, 83, 2], Operations: [] Exploring Operation: 22*83=1826, Resulting Numbers: [19, 2, 1826] Generated Node #2: [19, 2, 1826] from Operation: 22*83=1826 Current State: 96:[19, 2, 1826], Operations: ['22*83=1826'] Exploring Operation: 1826-2=1824, Resulting Numbers: [19, 1824] Generated Node #3: [19, 1824] from Operation: 1826-2=1824 Current State: 96:[19, 1824], Operations: ['22*83=1826', '1826-2=1824'] Exploring Operation: 1824/19=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 75, 81, 71 ]
62
[ "81-75=6", "54/6=9", "71-9=62" ]
Current State: 62:[54, 75, 81, 71], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [54, 71, 6] Generated Node #2: [54, 71, 6] from Operation: 81-75=6 Current State: 62:[54, 71, 6], Operations: ['81-75=6'] Exploring Operation: 54/6=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 54/6=9 Current State: 62:[71, 9], Operations: ['81-75=6', '54/6=9'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 33, 26, 83, 24 ]
100
[ "33-26=7", "83+24=107", "107-7=100" ]
Current State: 100:[33, 26, 83, 24], Operations: [] Exploring Operation: 33-26=7, Resulting Numbers: [83, 24, 7] Generated Node #2: [83, 24, 7] from Operation: 33-26=7 Current State: 100:[83, 24, 7], Operations: ['33-26=7'] Exploring Operation: 83+24=107, Resulting Numbers: [7, 107] Generated Node #3: [7, 107] from Operation: 83+24=107 Current State: 100:[7, 107], Operations: ['33-26=7', '83+24=107'] Exploring Operation: 107-7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 36, 39, 77, 18 ]
58
[ "36/18=2", "39+77=116", "116/2=58" ]
Current State: 58:[36, 39, 77, 18], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [39, 77, 2] Generated Node #2: [39, 77, 2] from Operation: 36/18=2 Current State: 58:[39, 77, 2], Operations: ['36/18=2'] Exploring Operation: 39+77=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 39+77=116 Current State: 58:[2, 116], Operations: ['36/18=2', '39+77=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 29, 85, 78 ]
78
[ "42+29=71", "85-78=7", "71+7=78" ]
Current State: 78:[42, 29, 85, 78], Operations: [] Exploring Operation: 42+29=71, Resulting Numbers: [85, 78, 71] Generated Node #2: [85, 78, 71] from Operation: 42+29=71 Current State: 78:[85, 78, 71], Operations: ['42+29=71'] Exploring Operation: 85-78=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 85-78=7 Current State: 78:[71, 7], Operations: ['42+29=71', '85-78=7'] Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 63, 70, 30 ]
61
[ "63-24=39", "70+30=100", "100-39=61" ]
Current State: 61:[24, 63, 70, 30], Operations: [] Exploring Operation: 63-24=39, Resulting Numbers: [70, 30, 39] Generated Node #2: [70, 30, 39] from Operation: 63-24=39 Current State: 61:[70, 30, 39], Operations: ['63-24=39'] Exploring Operation: 70+30=100, Resulting Numbers: [39, 100] Generated Node #3: [39, 100] from Operation: 70+30=100 Current State: 61:[39, 100], Operations: ['63-24=39', '70+30=100'] Exploring Operation: 100-39=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 84, 48, 4 ]
55
[ "68+48=116", "116/4=29", "84-29=55" ]
Current State: 55:[68, 84, 48, 4], Operations: [] Exploring Operation: 68+48=116, Resulting Numbers: [84, 4, 116] Generated Node #2: [84, 4, 116] from Operation: 68+48=116 Current State: 55:[84, 4, 116], Operations: ['68+48=116'] Exploring Operation: 116/4=29, Resulting Numbers: [84, 29] Generated Node #3: [84, 29] from Operation: 116/4=29 Current State: 55:[84, 29], Operations: ['68+48=116', '116/4=29'] Exploring Operation: 84-29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 52, 18, 7 ]
75
[ "35/7=5", "52+18=70", "5+70=75" ]
Current State: 75:[35, 52, 18, 7], Operations: [] Exploring Operation: 35/7=5, Resulting Numbers: [52, 18, 5] Generated Node #2: [52, 18, 5] from Operation: 35/7=5 Current State: 75:[52, 18, 5], Operations: ['35/7=5'] Exploring Operation: 52+18=70, Resulting Numbers: [5, 70] Generated Node #3: [5, 70] from Operation: 52+18=70 Current State: 75:[5, 70], Operations: ['35/7=5', '52+18=70'] Exploring Operation: 5+70=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 49, 2, 50, 59 ]
11
[ "49*2=98", "50+59=109", "109-98=11" ]
Current State: 11:[49, 2, 50, 59], Operations: [] Exploring Operation: 49*2=98, Resulting Numbers: [50, 59, 98] Generated Node #2: [50, 59, 98] from Operation: 49*2=98 Current State: 11:[50, 59, 98], Operations: ['49*2=98'] Exploring Operation: 50+59=109, Resulting Numbers: [98, 109] Generated Node #3: [98, 109] from Operation: 50+59=109 Current State: 11:[98, 109], Operations: ['49*2=98', '50+59=109'] Exploring Operation: 109-98=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 61, 17, 67 ]
33
[ "61-44=17", "67-17=50", "50-17=33" ]
Current State: 33:[44, 61, 17, 67], Operations: [] Exploring Operation: 61-44=17, Resulting Numbers: [17, 67, 17] Generated Node #2: [17, 67, 17] from Operation: 61-44=17 Current State: 33:[17, 67, 17], Operations: ['61-44=17'] Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,33 equal: Goal Reached Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 25, 36, 44, 99 ]
82
[ "25+36=61", "44+99=143", "143-61=82" ]
Current State: 82:[25, 36, 44, 99], Operations: [] Exploring Operation: 25+36=61, Resulting Numbers: [44, 99, 61] Generated Node #2: [44, 99, 61] from Operation: 25+36=61 Current State: 82:[44, 99, 61], Operations: ['25+36=61'] Exploring Operation: 44+99=143, Resulting Numbers: [61, 143] Generated Node #3: [61, 143] from Operation: 44+99=143 Current State: 82:[61, 143], Operations: ['25+36=61', '44+99=143'] Exploring Operation: 143-61=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 69, 30, 93, 46 ]
52
[ "69+30=99", "93-46=47", "99-47=52" ]
Current State: 52:[69, 30, 93, 46], Operations: [] Exploring Operation: 69+30=99, Resulting Numbers: [93, 46, 99] Generated Node #2: [93, 46, 99] from Operation: 69+30=99 Current State: 52:[93, 46, 99], Operations: ['69+30=99'] Exploring Operation: 93-46=47, Resulting Numbers: [99, 47] Generated Node #3: [99, 47] from Operation: 93-46=47 Current State: 52:[99, 47], Operations: ['69+30=99', '93-46=47'] Exploring Operation: 99-47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 15, 23, 46 ]
69
[ "15/5=3", "46-23=23", "3*23=69" ]
Current State: 69:[5, 15, 23, 46], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [23, 46, 3] Generated Node #2: [23, 46, 3] from Operation: 15/5=3 Current State: 69:[23, 46, 3], Operations: ['15/5=3'] Exploring Operation: 46-23=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 46-23=23 Current State: 69:[3, 23], Operations: ['15/5=3', '46-23=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 99, 83, 56 ]
30
[ "56/4=14", "99-83=16", "14+16=30" ]
Current State: 30:[4, 99, 83, 56], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [99, 83, 14] Generated Node #2: [99, 83, 14] from Operation: 56/4=14 Current State: 30:[99, 83, 14], Operations: ['56/4=14'] Exploring Operation: 99-83=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 99-83=16 Current State: 30:[14, 16], Operations: ['56/4=14', '99-83=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 38, 62, 50 ]
54
[ "4+38=42", "62-50=12", "42+12=54" ]
Current State: 54:[4, 38, 62, 50], Operations: [] Exploring Operation: 4+38=42, Resulting Numbers: [62, 50, 42] Generated Node #2: [62, 50, 42] from Operation: 4+38=42 Current State: 54:[62, 50, 42], Operations: ['4+38=42'] Exploring Operation: 62-50=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 62-50=12 Current State: 54:[42, 12], Operations: ['4+38=42', '62-50=12'] Exploring Operation: 42+12=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 80, 78, 84, 22 ]
95
[ "80-78=2", "22/2=11", "84+11=95" ]
Current State: 95:[80, 78, 84, 22], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [84, 22, 2] Generated Node #2: [84, 22, 2] from Operation: 80-78=2 Current State: 95:[84, 22, 2], Operations: ['80-78=2'] Exploring Operation: 22/2=11, Resulting Numbers: [84, 11] Generated Node #3: [84, 11] from Operation: 22/2=11 Current State: 95:[84, 11], Operations: ['80-78=2', '22/2=11'] Exploring Operation: 84+11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 28, 25, 2 ]
38
[ "28-13=15", "25-2=23", "15+23=38" ]
Current State: 38:[13, 28, 25, 2], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [25, 2, 15] Generated Node #2: [25, 2, 15] from Operation: 28-13=15 Current State: 38:[25, 2, 15], Operations: ['28-13=15'] Exploring Operation: 25-2=23, Resulting Numbers: [15, 23] Generated Node #3: [15, 23] from Operation: 25-2=23 Current State: 38:[15, 23], Operations: ['28-13=15', '25-2=23'] Exploring Operation: 15+23=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 48, 82, 4, 79 ]
60
[ "82-79=3", "4*3=12", "48+12=60" ]
Current State: 60:[48, 82, 4, 79], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [48, 4, 3] Generated Node #2: [48, 4, 3] from Operation: 82-79=3 Current State: 60:[48, 4, 3], Operations: ['82-79=3'] Exploring Operation: 4*3=12, Resulting Numbers: [48, 12] Generated Node #3: [48, 12] from Operation: 4*3=12 Current State: 60:[48, 12], Operations: ['82-79=3', '4*3=12'] Exploring Operation: 48+12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 98, 93, 19 ]
91
[ "98-81=17", "93-19=74", "17+74=91" ]
Current State: 91:[81, 98, 93, 19], Operations: [] Exploring Operation: 98-81=17, Resulting Numbers: [93, 19, 17] Generated Node #2: [93, 19, 17] from Operation: 98-81=17 Current State: 91:[93, 19, 17], Operations: ['98-81=17'] Exploring Operation: 93-19=74, Resulting Numbers: [17, 74] Generated Node #3: [17, 74] from Operation: 93-19=74 Current State: 91:[17, 74], Operations: ['98-81=17', '93-19=74'] Exploring Operation: 17+74=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 3, 44, 62 ]
14
[ "72-62=10", "3*10=30", "44-30=14" ]
Current State: 14:[72, 3, 44, 62], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [3, 44, 10] Generated Node #2: [3, 44, 10] from Operation: 72-62=10 Current State: 14:[3, 44, 10], Operations: ['72-62=10'] Exploring Operation: 3*10=30, Resulting Numbers: [44, 30] Generated Node #3: [44, 30] from Operation: 3*10=30 Current State: 14:[44, 30], Operations: ['72-62=10', '3*10=30'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 37, 59, 85, 23 ]
84
[ "59-37=22", "85-23=62", "22+62=84" ]
Current State: 84:[37, 59, 85, 23], Operations: [] Exploring Operation: 59-37=22, Resulting Numbers: [85, 23, 22] Generated Node #2: [85, 23, 22] from Operation: 59-37=22 Current State: 84:[85, 23, 22], Operations: ['59-37=22'] Exploring Operation: 85-23=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 85-23=62 Current State: 84:[22, 62], Operations: ['59-37=22', '85-23=62'] Exploring Operation: 22+62=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 99, 37, 96, 41 ]
87
[ "99*37=3663", "3663-96=3567", "3567/41=87" ]
Current State: 87:[99, 37, 96, 41], Operations: [] Exploring Operation: 99*37=3663, Resulting Numbers: [96, 41, 3663] Generated Node #2: [96, 41, 3663] from Operation: 99*37=3663 Current State: 87:[96, 41, 3663], Operations: ['99*37=3663'] Exploring Operation: 3663-96=3567, Resulting Numbers: [41, 3567] Generated Node #3: [41, 3567] from Operation: 3663-96=3567 Current State: 87:[41, 3567], Operations: ['99*37=3663', '3663-96=3567'] Exploring Operation: 3567/41=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 26, 21, 12, 12 ]
60
[ "26*12=312", "21*12=252", "312-252=60" ]
Current State: 60:[26, 21, 12, 12], Operations: [] Exploring Operation: 26*12=312, Resulting Numbers: [21, 312] Generated Node #2: [21, 312] from Operation: 26*12=312 Current State: 60:[21, 312], Operations: ['26*12=312'] Exploring Operation: 21*12=252, Resulting Numbers: [312, 252] Generated Node #3: [312, 252] from Operation: 21*12=252 Current State: 60:[312, 252], Operations: ['26*12=312', '21*12=252'] Exploring Operation: 312-252=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 84, 68, 44, 14 ]
76
[ "68+44=112", "112/14=8", "84-8=76" ]
Current State: 76:[84, 68, 44, 14], Operations: [] Exploring Operation: 68+44=112, Resulting Numbers: [84, 14, 112] Generated Node #2: [84, 14, 112] from Operation: 68+44=112 Current State: 76:[84, 14, 112], Operations: ['68+44=112'] Exploring Operation: 112/14=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 112/14=8 Current State: 76:[84, 8], Operations: ['68+44=112', '112/14=8'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 72, 10, 84 ]
97
[ "72-69=3", "10+84=94", "3+94=97" ]
Current State: 97:[69, 72, 10, 84], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [10, 84, 3] Generated Node #2: [10, 84, 3] from Operation: 72-69=3 Current State: 97:[10, 84, 3], Operations: ['72-69=3'] Exploring Operation: 10+84=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 10+84=94 Current State: 97:[3, 94], Operations: ['72-69=3', '10+84=94'] Exploring Operation: 3+94=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 38, 17, 11, 39 ]
27
[ "38+17=55", "39-11=28", "55-28=27" ]
Current State: 27:[38, 17, 11, 39], Operations: [] Exploring Operation: 38+17=55, Resulting Numbers: [11, 39, 55] Generated Node #2: [11, 39, 55] from Operation: 38+17=55 Current State: 27:[11, 39, 55], Operations: ['38+17=55'] Exploring Operation: 39-11=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 39-11=28 Current State: 27:[55, 28], Operations: ['38+17=55', '39-11=28'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 23, 53, 62 ]
92
[ "5+53=58", "62-58=4", "23*4=92" ]
Current State: 92:[5, 23, 53, 62], Operations: [] Exploring Operation: 5+53=58, Resulting Numbers: [23, 62, 58] Generated Node #2: [23, 62, 58] from Operation: 5+53=58 Current State: 92:[23, 62, 58], Operations: ['5+53=58'] Exploring Operation: 62-58=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 62-58=4 Current State: 92:[23, 4], Operations: ['5+53=58', '62-58=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 75, 23, 41, 5 ]
81
[ "75-41=34", "23*5=115", "115-34=81" ]
Current State: 81:[75, 23, 41, 5], Operations: [] Exploring Operation: 75-41=34, Resulting Numbers: [23, 5, 34] Generated Node #2: [23, 5, 34] from Operation: 75-41=34 Current State: 81:[23, 5, 34], Operations: ['75-41=34'] Exploring Operation: 23*5=115, Resulting Numbers: [34, 115] Generated Node #3: [34, 115] from Operation: 23*5=115 Current State: 81:[34, 115], Operations: ['75-41=34', '23*5=115'] Exploring Operation: 115-34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 45, 81, 60, 7 ]
15
[ "45*7=315", "81-60=21", "315/21=15" ]
Current State: 15:[45, 81, 60, 7], Operations: [] Exploring Operation: 45*7=315, Resulting Numbers: [81, 60, 315] Generated Node #2: [81, 60, 315] from Operation: 45*7=315 Current State: 15:[81, 60, 315], Operations: ['45*7=315'] Exploring Operation: 81-60=21, Resulting Numbers: [315, 21] Generated Node #3: [315, 21] from Operation: 81-60=21 Current State: 15:[315, 21], Operations: ['45*7=315', '81-60=21'] Exploring Operation: 315/21=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 43, 45, 85 ]
59
[ "33+85=118", "45-43=2", "118/2=59" ]
Current State: 59:[33, 43, 45, 85], Operations: [] Exploring Operation: 33+85=118, Resulting Numbers: [43, 45, 118] Generated Node #2: [43, 45, 118] from Operation: 33+85=118 Current State: 59:[43, 45, 118], Operations: ['33+85=118'] Exploring Operation: 45-43=2, Resulting Numbers: [118, 2] Generated Node #3: [118, 2] from Operation: 45-43=2 Current State: 59:[118, 2], Operations: ['33+85=118', '45-43=2'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 53, 85, 40, 27 ]
35
[ "85-53=32", "40+27=67", "67-32=35" ]
Current State: 35:[53, 85, 40, 27], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [40, 27, 32] Generated Node #2: [40, 27, 32] from Operation: 85-53=32 Current State: 35:[40, 27, 32], Operations: ['85-53=32'] Exploring Operation: 40+27=67, Resulting Numbers: [32, 67] Generated Node #3: [32, 67] from Operation: 40+27=67 Current State: 35:[32, 67], Operations: ['85-53=32', '40+27=67'] Exploring Operation: 67-32=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 57, 93, 54 ]
11
[ "57-54=3", "93/3=31", "42-31=11" ]
Current State: 11:[42, 57, 93, 54], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [42, 93, 3] Generated Node #2: [42, 93, 3] from Operation: 57-54=3 Current State: 11:[42, 93, 3], Operations: ['57-54=3'] Exploring Operation: 93/3=31, Resulting Numbers: [42, 31] Generated Node #3: [42, 31] from Operation: 93/3=31 Current State: 11:[42, 31], Operations: ['57-54=3', '93/3=31'] Exploring Operation: 42-31=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 22, 48, 90 ]
44
[ "48-3=45", "22*90=1980", "1980/45=44" ]
Current State: 44:[3, 22, 48, 90], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [22, 90, 45] Generated Node #2: [22, 90, 45] from Operation: 48-3=45 Current State: 44:[22, 90, 45], Operations: ['48-3=45'] Exploring Operation: 22*90=1980, Resulting Numbers: [45, 1980] Generated Node #3: [45, 1980] from Operation: 22*90=1980 Current State: 44:[45, 1980], Operations: ['48-3=45', '22*90=1980'] Exploring Operation: 1980/45=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 14, 57, 4, 59 ]
64
[ "57-14=43", "59-43=16", "4*16=64" ]
Current State: 64:[14, 57, 4, 59], Operations: [] Exploring Operation: 57-14=43, Resulting Numbers: [4, 59, 43] Generated Node #2: [4, 59, 43] from Operation: 57-14=43 Current State: 64:[4, 59, 43], Operations: ['57-14=43'] Exploring Operation: 59-43=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 59-43=16 Current State: 64:[4, 16], Operations: ['57-14=43', '59-43=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 76, 5, 21, 10 ]
82
[ "76-5=71", "21-10=11", "71+11=82" ]
Current State: 82:[76, 5, 21, 10], Operations: [] Exploring Operation: 76-5=71, Resulting Numbers: [21, 10, 71] Generated Node #2: [21, 10, 71] from Operation: 76-5=71 Current State: 82:[21, 10, 71], Operations: ['76-5=71'] Exploring Operation: 21-10=11, Resulting Numbers: [71, 11] Generated Node #3: [71, 11] from Operation: 21-10=11 Current State: 82:[71, 11], Operations: ['76-5=71', '21-10=11'] Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 24, 42, 77 ]
32
[ "42/2=21", "77-24=53", "53-21=32" ]
Current State: 32:[2, 24, 42, 77], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [24, 77, 21] Generated Node #2: [24, 77, 21] from Operation: 42/2=21 Current State: 32:[24, 77, 21], Operations: ['42/2=21'] Exploring Operation: 77-24=53, Resulting Numbers: [21, 53] Generated Node #3: [21, 53] from Operation: 77-24=53 Current State: 32:[21, 53], Operations: ['42/2=21', '77-24=53'] Exploring Operation: 53-21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 74, 24, 64, 52 ]
86
[ "74+24=98", "64-52=12", "98-12=86" ]
Current State: 86:[74, 24, 64, 52], Operations: [] Exploring Operation: 74+24=98, Resulting Numbers: [64, 52, 98] Generated Node #2: [64, 52, 98] from Operation: 74+24=98 Current State: 86:[64, 52, 98], Operations: ['74+24=98'] Exploring Operation: 64-52=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 64-52=12 Current State: 86:[98, 12], Operations: ['74+24=98', '64-52=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 98, 80, 37 ]
53
[ "80*37=2960", "2960-98=2862", "2862/54=53" ]
Current State: 53:[54, 98, 80, 37], Operations: [] Exploring Operation: 80*37=2960, Resulting Numbers: [54, 98, 2960] Generated Node #2: [54, 98, 2960] from Operation: 80*37=2960 Current State: 53:[54, 98, 2960], Operations: ['80*37=2960'] Exploring Operation: 2960-98=2862, Resulting Numbers: [54, 2862] Generated Node #3: [54, 2862] from Operation: 2960-98=2862 Current State: 53:[54, 2862], Operations: ['80*37=2960', '2960-98=2862'] Exploring Operation: 2862/54=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 49, 58, 22 ]
25
[ "56+49=105", "58+22=80", "105-80=25" ]
Current State: 25:[56, 49, 58, 22], Operations: [] Exploring Operation: 56+49=105, Resulting Numbers: [58, 22, 105] Generated Node #2: [58, 22, 105] from Operation: 56+49=105 Current State: 25:[58, 22, 105], Operations: ['56+49=105'] Exploring Operation: 58+22=80, Resulting Numbers: [105, 80] Generated Node #3: [105, 80] from Operation: 58+22=80 Current State: 25:[105, 80], Operations: ['56+49=105', '58+22=80'] Exploring Operation: 105-80=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 2, 12, 4 ]
38
[ "31-12=19", "4-2=2", "19*2=38" ]
Current State: 38:[31, 2, 12, 4], Operations: [] Exploring Operation: 31-12=19, Resulting Numbers: [2, 4, 19] Generated Node #2: [2, 4, 19] from Operation: 31-12=19 Current State: 38:[2, 4, 19], Operations: ['31-12=19'] Exploring Operation: 4-2=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 4-2=2 Current State: 38:[19, 2], Operations: ['31-12=19', '4-2=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 5, 46, 9 ]
97
[ "12*5=60", "46-9=37", "60+37=97" ]
Current State: 97:[12, 5, 46, 9], Operations: [] Exploring Operation: 12*5=60, Resulting Numbers: [46, 9, 60] Generated Node #2: [46, 9, 60] from Operation: 12*5=60 Current State: 97:[46, 9, 60], Operations: ['12*5=60'] Exploring Operation: 46-9=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 46-9=37 Current State: 97:[60, 37], Operations: ['12*5=60', '46-9=37'] Exploring Operation: 60+37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 7, 26, 31 ]
61
[ "31-26=5", "7*5=35", "26+35=61" ]
Current State: 61:[26, 7, 26, 31], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [7, 5] Generated Node #2: [7, 5] from Operation: 31-26=5 Current State: 61:[7, 5], Operations: ['31-26=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,61 equal: Goal Reached Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 72, 30, 6, 50 ]
92
[ "72/6=12", "30+50=80", "12+80=92" ]
Current State: 92:[72, 30, 6, 50], Operations: [] Exploring Operation: 72/6=12, Resulting Numbers: [30, 50, 12] Generated Node #2: [30, 50, 12] from Operation: 72/6=12 Current State: 92:[30, 50, 12], Operations: ['72/6=12'] Exploring Operation: 30+50=80, Resulting Numbers: [12, 80] Generated Node #3: [12, 80] from Operation: 30+50=80 Current State: 92:[12, 80], Operations: ['72/6=12', '30+50=80'] Exploring Operation: 12+80=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 88, 6, 46, 31 ]
67
[ "88-6=82", "46-31=15", "82-15=67" ]
Current State: 67:[88, 6, 46, 31], Operations: [] Exploring Operation: 88-6=82, Resulting Numbers: [46, 31, 82] Generated Node #2: [46, 31, 82] from Operation: 88-6=82 Current State: 67:[46, 31, 82], Operations: ['88-6=82'] Exploring Operation: 46-31=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 46-31=15 Current State: 67:[82, 15], Operations: ['88-6=82', '46-31=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 53, 61, 30, 75 ]
97
[ "61-53=8", "30+75=105", "105-8=97" ]
Current State: 97:[53, 61, 30, 75], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [30, 75, 8] Generated Node #2: [30, 75, 8] from Operation: 61-53=8 Current State: 97:[30, 75, 8], Operations: ['61-53=8'] Exploring Operation: 30+75=105, Resulting Numbers: [8, 105] Generated Node #3: [8, 105] from Operation: 30+75=105 Current State: 97:[8, 105], Operations: ['61-53=8', '30+75=105'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 8, 99, 4 ]
75
[ "8+99=107", "8*4=32", "107-32=75" ]
Current State: 75:[8, 8, 99, 4], Operations: [] Exploring Operation: 8+99=107, Resulting Numbers: [4, 107] Generated Node #2: [4, 107] from Operation: 8+99=107 Current State: 75:[4, 107], Operations: ['8+99=107'] Exploring Operation: 8*4=32, Resulting Numbers: [107, 32] Generated Node #3: [107, 32] from Operation: 8*4=32 Current State: 75:[107, 32], Operations: ['8+99=107', '8*4=32'] Exploring Operation: 107-32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 55, 28, 30 ]
18
[ "5+28=33", "30*33=990", "990/55=18" ]
Current State: 18:[5, 55, 28, 30], Operations: [] Exploring Operation: 5+28=33, Resulting Numbers: [55, 30, 33] Generated Node #2: [55, 30, 33] from Operation: 5+28=33 Current State: 18:[55, 30, 33], Operations: ['5+28=33'] Exploring Operation: 30*33=990, Resulting Numbers: [55, 990] Generated Node #3: [55, 990] from Operation: 30*33=990 Current State: 18:[55, 990], Operations: ['5+28=33', '30*33=990'] Exploring Operation: 990/55=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 56, 59, 6 ]
63
[ "80-56=24", "24/6=4", "59+4=63" ]
Current State: 63:[80, 56, 59, 6], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [59, 6, 24] Generated Node #2: [59, 6, 24] from Operation: 80-56=24 Current State: 63:[59, 6, 24], Operations: ['80-56=24'] Exploring Operation: 24/6=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 24/6=4 Current State: 63:[59, 4], Operations: ['80-56=24', '24/6=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 64, 46, 58, 56 ]
96
[ "64-46=18", "58+56=114", "114-18=96" ]
Current State: 96:[64, 46, 58, 56], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [58, 56, 18] Generated Node #2: [58, 56, 18] from Operation: 64-46=18 Current State: 96:[58, 56, 18], Operations: ['64-46=18'] Exploring Operation: 58+56=114, Resulting Numbers: [18, 114] Generated Node #3: [18, 114] from Operation: 58+56=114 Current State: 96:[18, 114], Operations: ['64-46=18', '58+56=114'] Exploring Operation: 114-18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 58, 62, 93, 32 ]
60
[ "58+32=90", "62*90=5580", "5580/93=60" ]
Current State: 60:[58, 62, 93, 32], Operations: [] Exploring Operation: 58+32=90, Resulting Numbers: [62, 93, 90] Generated Node #2: [62, 93, 90] from Operation: 58+32=90 Current State: 60:[62, 93, 90], Operations: ['58+32=90'] Exploring Operation: 62*90=5580, Resulting Numbers: [93, 5580] Generated Node #3: [93, 5580] from Operation: 62*90=5580 Current State: 60:[93, 5580], Operations: ['58+32=90', '62*90=5580'] Exploring Operation: 5580/93=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 56, 40, 29 ]
59
[ "42*40=1680", "1680/56=30", "29+30=59" ]
Current State: 59:[42, 56, 40, 29], Operations: [] Exploring Operation: 42*40=1680, Resulting Numbers: [56, 29, 1680] Generated Node #2: [56, 29, 1680] from Operation: 42*40=1680 Current State: 59:[56, 29, 1680], Operations: ['42*40=1680'] Exploring Operation: 1680/56=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 1680/56=30 Current State: 59:[29, 30], Operations: ['42*40=1680', '1680/56=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 20, 23, 41 ]
90
[ "41-11=30", "23-20=3", "30*3=90" ]
Current State: 90:[11, 20, 23, 41], Operations: [] Exploring Operation: 41-11=30, Resulting Numbers: [20, 23, 30] Generated Node #2: [20, 23, 30] from Operation: 41-11=30 Current State: 90:[20, 23, 30], Operations: ['41-11=30'] Exploring Operation: 23-20=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 23-20=3 Current State: 90:[30, 3], Operations: ['41-11=30', '23-20=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 75, 2, 97 ]
51
[ "75+97=172", "172/2=86", "86-35=51" ]
Current State: 51:[35, 75, 2, 97], Operations: [] Exploring Operation: 75+97=172, Resulting Numbers: [35, 2, 172] Generated Node #2: [35, 2, 172] from Operation: 75+97=172 Current State: 51:[35, 2, 172], Operations: ['75+97=172'] Exploring Operation: 172/2=86, Resulting Numbers: [35, 86] Generated Node #3: [35, 86] from Operation: 172/2=86 Current State: 51:[35, 86], Operations: ['75+97=172', '172/2=86'] Exploring Operation: 86-35=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 8, 18, 46, 25 ]
73
[ "8*18=144", "46+25=71", "144-71=73" ]
Current State: 73:[8, 18, 46, 25], Operations: [] Exploring Operation: 8*18=144, Resulting Numbers: [46, 25, 144] Generated Node #2: [46, 25, 144] from Operation: 8*18=144 Current State: 73:[46, 25, 144], Operations: ['8*18=144'] Exploring Operation: 46+25=71, Resulting Numbers: [144, 71] Generated Node #3: [144, 71] from Operation: 46+25=71 Current State: 73:[144, 71], Operations: ['8*18=144', '46+25=71'] Exploring Operation: 144-71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 78, 36, 84 ]
14
[ "2*36=72", "78-72=6", "84/6=14" ]
Current State: 14:[2, 78, 36, 84], Operations: [] Exploring Operation: 2*36=72, Resulting Numbers: [78, 84, 72] Generated Node #2: [78, 84, 72] from Operation: 2*36=72 Current State: 14:[78, 84, 72], Operations: ['2*36=72'] Exploring Operation: 78-72=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 78-72=6 Current State: 14:[84, 6], Operations: ['2*36=72', '78-72=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 98, 2, 8, 91 ]
34
[ "98/2=49", "91-8=83", "83-49=34" ]
Current State: 34:[98, 2, 8, 91], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [8, 91, 49] Generated Node #2: [8, 91, 49] from Operation: 98/2=49 Current State: 34:[8, 91, 49], Operations: ['98/2=49'] Exploring Operation: 91-8=83, Resulting Numbers: [49, 83] Generated Node #3: [49, 83] from Operation: 91-8=83 Current State: 34:[49, 83], Operations: ['98/2=49', '91-8=83'] Exploring Operation: 83-49=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 28, 45, 18, 56 ]
65
[ "56/28=2", "45+18=63", "2+63=65" ]
Current State: 65:[28, 45, 18, 56], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [45, 18, 2] Generated Node #2: [45, 18, 2] from Operation: 56/28=2 Current State: 65:[45, 18, 2], Operations: ['56/28=2'] Exploring Operation: 45+18=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 45+18=63 Current State: 65:[2, 63], Operations: ['56/28=2', '45+18=63'] Exploring Operation: 2+63=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 1, 65, 18 ]
57
[ "9+1=10", "65-18=47", "10+47=57" ]
Current State: 57:[9, 1, 65, 18], Operations: [] Exploring Operation: 9+1=10, Resulting Numbers: [65, 18, 10] Generated Node #2: [65, 18, 10] from Operation: 9+1=10 Current State: 57:[65, 18, 10], Operations: ['9+1=10'] Exploring Operation: 65-18=47, Resulting Numbers: [10, 47] Generated Node #3: [10, 47] from Operation: 65-18=47 Current State: 57:[10, 47], Operations: ['9+1=10', '65-18=47'] Exploring Operation: 10+47=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 33, 15, 37 ]
76
[ "33*15=495", "37+495=532", "532/7=76" ]
Current State: 76:[7, 33, 15, 37], Operations: [] Exploring Operation: 33*15=495, Resulting Numbers: [7, 37, 495] Generated Node #2: [7, 37, 495] from Operation: 33*15=495 Current State: 76:[7, 37, 495], Operations: ['33*15=495'] Exploring Operation: 37+495=532, Resulting Numbers: [7, 532] Generated Node #3: [7, 532] from Operation: 37+495=532 Current State: 76:[7, 532], Operations: ['33*15=495', '37+495=532'] Exploring Operation: 532/7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 46, 30, 6, 4 ]
31
[ "6-4=2", "30/2=15", "46-15=31" ]
Current State: 31:[46, 30, 6, 4], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [46, 30, 2] Generated Node #2: [46, 30, 2] from Operation: 6-4=2 Current State: 31:[46, 30, 2], Operations: ['6-4=2'] Exploring Operation: 30/2=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 30/2=15 Current State: 31:[46, 15], Operations: ['6-4=2', '30/2=15'] Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 19, 82, 16, 2 ]
69
[ "19+82=101", "16*2=32", "101-32=69" ]
Current State: 69:[19, 82, 16, 2], Operations: [] Exploring Operation: 19+82=101, Resulting Numbers: [16, 2, 101] Generated Node #2: [16, 2, 101] from Operation: 19+82=101 Current State: 69:[16, 2, 101], Operations: ['19+82=101'] Exploring Operation: 16*2=32, Resulting Numbers: [101, 32] Generated Node #3: [101, 32] from Operation: 16*2=32 Current State: 69:[101, 32], Operations: ['19+82=101', '16*2=32'] Exploring Operation: 101-32=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 31, 21, 5 ]
79
[ "43-21=22", "5*22=110", "110-31=79" ]
Current State: 79:[43, 31, 21, 5], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [31, 5, 22] Generated Node #2: [31, 5, 22] from Operation: 43-21=22 Current State: 79:[31, 5, 22], Operations: ['43-21=22'] Exploring Operation: 5*22=110, Resulting Numbers: [31, 110] Generated Node #3: [31, 110] from Operation: 5*22=110 Current State: 79:[31, 110], Operations: ['43-21=22', '5*22=110'] Exploring Operation: 110-31=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 45, 68, 18, 60 ]
65
[ "68-45=23", "60-18=42", "23+42=65" ]
Current State: 65:[45, 68, 18, 60], Operations: [] Exploring Operation: 68-45=23, Resulting Numbers: [18, 60, 23] Generated Node #2: [18, 60, 23] from Operation: 68-45=23 Current State: 65:[18, 60, 23], Operations: ['68-45=23'] Exploring Operation: 60-18=42, Resulting Numbers: [23, 42] Generated Node #3: [23, 42] from Operation: 60-18=42 Current State: 65:[23, 42], Operations: ['68-45=23', '60-18=42'] Exploring Operation: 23+42=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 43, 37, 31 ]
90
[ "43+31=74", "74/37=2", "88+2=90" ]
Current State: 90:[88, 43, 37, 31], Operations: [] Exploring Operation: 43+31=74, Resulting Numbers: [88, 37, 74] Generated Node #2: [88, 37, 74] from Operation: 43+31=74 Current State: 90:[88, 37, 74], Operations: ['43+31=74'] Exploring Operation: 74/37=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 74/37=2 Current State: 90:[88, 2], Operations: ['43+31=74', '74/37=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 53, 66, 62 ]
63
[ "14+53=67", "66-62=4", "67-4=63" ]
Current State: 63:[14, 53, 66, 62], Operations: [] Exploring Operation: 14+53=67, Resulting Numbers: [66, 62, 67] Generated Node #2: [66, 62, 67] from Operation: 14+53=67 Current State: 63:[66, 62, 67], Operations: ['14+53=67'] Exploring Operation: 66-62=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 66-62=4 Current State: 63:[67, 4], Operations: ['14+53=67', '66-62=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 70, 54, 38, 65 ]
35
[ "65-38=27", "70*27=1890", "1890/54=35" ]
Current State: 35:[70, 54, 38, 65], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [70, 54, 27] Generated Node #2: [70, 54, 27] from Operation: 65-38=27 Current State: 35:[70, 54, 27], Operations: ['65-38=27'] Exploring Operation: 70*27=1890, Resulting Numbers: [54, 1890] Generated Node #3: [54, 1890] from Operation: 70*27=1890 Current State: 35:[54, 1890], Operations: ['65-38=27', '70*27=1890'] Exploring Operation: 1890/54=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 58, 43, 64 ]
59
[ "58-10=48", "43+64=107", "107-48=59" ]
Current State: 59:[10, 58, 43, 64], Operations: [] Exploring Operation: 58-10=48, Resulting Numbers: [43, 64, 48] Generated Node #2: [43, 64, 48] from Operation: 58-10=48 Current State: 59:[43, 64, 48], Operations: ['58-10=48'] Exploring Operation: 43+64=107, Resulting Numbers: [48, 107] Generated Node #3: [48, 107] from Operation: 43+64=107 Current State: 59:[48, 107], Operations: ['58-10=48', '43+64=107'] Exploring Operation: 107-48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 14, 72, 39 ]
45
[ "14-2=12", "72-39=33", "12+33=45" ]
Current State: 45:[2, 14, 72, 39], Operations: [] Exploring Operation: 14-2=12, Resulting Numbers: [72, 39, 12] Generated Node #2: [72, 39, 12] from Operation: 14-2=12 Current State: 45:[72, 39, 12], Operations: ['14-2=12'] Exploring Operation: 72-39=33, Resulting Numbers: [12, 33] Generated Node #3: [12, 33] from Operation: 72-39=33 Current State: 45:[12, 33], Operations: ['14-2=12', '72-39=33'] Exploring Operation: 12+33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 28, 46, 23, 4 ]
18
[ "28+46=74", "23*4=92", "92-74=18" ]
Current State: 18:[28, 46, 23, 4], Operations: [] Exploring Operation: 28+46=74, Resulting Numbers: [23, 4, 74] Generated Node #2: [23, 4, 74] from Operation: 28+46=74 Current State: 18:[23, 4, 74], Operations: ['28+46=74'] Exploring Operation: 23*4=92, Resulting Numbers: [74, 92] Generated Node #3: [74, 92] from Operation: 23*4=92 Current State: 18:[74, 92], Operations: ['28+46=74', '23*4=92'] Exploring Operation: 92-74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 32, 11, 79, 11 ]
74
[ "79-32=47", "11*11=121", "121-47=74" ]
Current State: 74:[32, 11, 79, 11], Operations: [] Exploring Operation: 79-32=47, Resulting Numbers: [11, 11, 47] Generated Node #2: [11, 11, 47] from Operation: 79-32=47 Current State: 74:[11, 11, 47], Operations: ['79-32=47'] Exploring Operation: 11*11=121, Resulting Numbers: [47, 121] Generated Node #3: [47, 121] from Operation: 11*11=121 Current State: 74:[47, 121], Operations: ['79-32=47', '11*11=121'] Exploring Operation: 121-47=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 80, 69, 71, 14 ]
73
[ "71-69=2", "14/2=7", "80-7=73" ]
Current State: 73:[80, 69, 71, 14], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [80, 14, 2] Generated Node #2: [80, 14, 2] from Operation: 71-69=2 Current State: 73:[80, 14, 2], Operations: ['71-69=2'] Exploring Operation: 14/2=7, Resulting Numbers: [80, 7] Generated Node #3: [80, 7] from Operation: 14/2=7 Current State: 73:[80, 7], Operations: ['71-69=2', '14/2=7'] Exploring Operation: 80-7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 83, 62, 77 ]
79
[ "11+83=94", "77-62=15", "94-15=79" ]
Current State: 79:[11, 83, 62, 77], Operations: [] Exploring Operation: 11+83=94, Resulting Numbers: [62, 77, 94] Generated Node #2: [62, 77, 94] from Operation: 11+83=94 Current State: 79:[62, 77, 94], Operations: ['11+83=94'] Exploring Operation: 77-62=15, Resulting Numbers: [94, 15] Generated Node #3: [94, 15] from Operation: 77-62=15 Current State: 79:[94, 15], Operations: ['11+83=94', '77-62=15'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 92, 2, 16, 11 ]
62
[ "16-2=14", "11*14=154", "154-92=62" ]
Current State: 62:[92, 2, 16, 11], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [92, 11, 14] Generated Node #2: [92, 11, 14] from Operation: 16-2=14 Current State: 62:[92, 11, 14], Operations: ['16-2=14'] Exploring Operation: 11*14=154, Resulting Numbers: [92, 154] Generated Node #3: [92, 154] from Operation: 11*14=154 Current State: 62:[92, 154], Operations: ['16-2=14', '11*14=154'] Exploring Operation: 154-92=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 30, 59, 32, 8 ]
24
[ "59-30=29", "32-29=3", "8*3=24" ]
Current State: 24:[30, 59, 32, 8], Operations: [] Exploring Operation: 59-30=29, Resulting Numbers: [32, 8, 29] Generated Node #2: [32, 8, 29] from Operation: 59-30=29 Current State: 24:[32, 8, 29], Operations: ['59-30=29'] Exploring Operation: 32-29=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 32-29=3 Current State: 24:[8, 3], Operations: ['59-30=29', '32-29=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 43, 99, 78 ]
32
[ "87-78=9", "99/9=11", "43-11=32" ]
Current State: 32:[87, 43, 99, 78], Operations: [] Exploring Operation: 87-78=9, Resulting Numbers: [43, 99, 9] Generated Node #2: [43, 99, 9] from Operation: 87-78=9 Current State: 32:[43, 99, 9], Operations: ['87-78=9'] Exploring Operation: 99/9=11, Resulting Numbers: [43, 11] Generated Node #3: [43, 11] from Operation: 99/9=11 Current State: 32:[43, 11], Operations: ['87-78=9', '99/9=11'] Exploring Operation: 43-11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 4, 94, 99 ]
60
[ "62+94=156", "156/4=39", "99-39=60" ]
Current State: 60:[62, 4, 94, 99], Operations: [] Exploring Operation: 62+94=156, Resulting Numbers: [4, 99, 156] Generated Node #2: [4, 99, 156] from Operation: 62+94=156 Current State: 60:[4, 99, 156], Operations: ['62+94=156'] Exploring Operation: 156/4=39, Resulting Numbers: [99, 39] Generated Node #3: [99, 39] from Operation: 156/4=39 Current State: 60:[99, 39], Operations: ['62+94=156', '156/4=39'] Exploring Operation: 99-39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 2, 1, 48 ]
23
[ "2+1=3", "48/3=16", "7+16=23" ]
Current State: 23:[7, 2, 1, 48], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [7, 48, 3] Generated Node #2: [7, 48, 3] from Operation: 2+1=3 Current State: 23:[7, 48, 3], Operations: ['2+1=3'] Exploring Operation: 48/3=16, Resulting Numbers: [7, 16] Generated Node #3: [7, 16] from Operation: 48/3=16 Current State: 23:[7, 16], Operations: ['2+1=3', '48/3=16'] Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 18, 77, 25, 47 ]
23
[ "18+77=95", "25+47=72", "95-72=23" ]
Current State: 23:[18, 77, 25, 47], Operations: [] Exploring Operation: 18+77=95, Resulting Numbers: [25, 47, 95] Generated Node #2: [25, 47, 95] from Operation: 18+77=95 Current State: 23:[25, 47, 95], Operations: ['18+77=95'] Exploring Operation: 25+47=72, Resulting Numbers: [95, 72] Generated Node #3: [95, 72] from Operation: 25+47=72 Current State: 23:[95, 72], Operations: ['18+77=95', '25+47=72'] Exploring Operation: 95-72=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 7, 84, 47, 40 ]
19
[ "84/7=12", "47-40=7", "12+7=19" ]
Current State: 19:[7, 84, 47, 40], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [47, 40, 12] Generated Node #2: [47, 40, 12] from Operation: 84/7=12 Current State: 19:[47, 40, 12], Operations: ['84/7=12'] Exploring Operation: 47-40=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 47-40=7 Current State: 19:[12, 7], Operations: ['84/7=12', '47-40=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 16, 40, 26 ]
32
[ "54+26=80", "16*80=1280", "1280/40=32" ]
Current State: 32:[54, 16, 40, 26], Operations: [] Exploring Operation: 54+26=80, Resulting Numbers: [16, 40, 80] Generated Node #2: [16, 40, 80] from Operation: 54+26=80 Current State: 32:[16, 40, 80], Operations: ['54+26=80'] Exploring Operation: 16*80=1280, Resulting Numbers: [40, 1280] Generated Node #3: [40, 1280] from Operation: 16*80=1280 Current State: 32:[40, 1280], Operations: ['54+26=80', '16*80=1280'] Exploring Operation: 1280/40=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 11, 31, 72 ]
94
[ "11-2=9", "31+72=103", "103-9=94" ]
Current State: 94:[2, 11, 31, 72], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [31, 72, 9] Generated Node #2: [31, 72, 9] from Operation: 11-2=9 Current State: 94:[31, 72, 9], Operations: ['11-2=9'] Exploring Operation: 31+72=103, Resulting Numbers: [9, 103] Generated Node #3: [9, 103] from Operation: 31+72=103 Current State: 94:[9, 103], Operations: ['11-2=9', '31+72=103'] Exploring Operation: 103-9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 37, 7, 21 ]
25
[ "4*21=84", "84/7=12", "37-12=25" ]
Current State: 25:[4, 37, 7, 21], Operations: [] Exploring Operation: 4*21=84, Resulting Numbers: [37, 7, 84] Generated Node #2: [37, 7, 84] from Operation: 4*21=84 Current State: 25:[37, 7, 84], Operations: ['4*21=84'] Exploring Operation: 84/7=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 84/7=12 Current State: 25:[37, 12], Operations: ['4*21=84', '84/7=12'] Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 63, 72, 69 ]
67
[ "7+63=70", "72-69=3", "70-3=67" ]
Current State: 67:[7, 63, 72, 69], Operations: [] Exploring Operation: 7+63=70, Resulting Numbers: [72, 69, 70] Generated Node #2: [72, 69, 70] from Operation: 7+63=70 Current State: 67:[72, 69, 70], Operations: ['7+63=70'] Exploring Operation: 72-69=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 72-69=3 Current State: 67:[70, 3], Operations: ['7+63=70', '72-69=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 68, 74, 16, 74 ]
85
[ "68+16=84", "74/74=1", "84+1=85" ]
Current State: 85:[68, 74, 16, 74], Operations: [] Exploring Operation: 68+16=84, Resulting Numbers: [74, 74, 84] Generated Node #2: [74, 74, 84] from Operation: 68+16=84 Current State: 85:[74, 74, 84], Operations: ['68+16=84'] Exploring Operation: 74/74=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 74/74=1 Current State: 85:[84, 1], Operations: ['68+16=84', '74/74=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 88, 18, 40, 79 ]
38
[ "88-79=9", "18/9=2", "40-2=38" ]
Current State: 38:[88, 18, 40, 79], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [18, 40, 9] Generated Node #2: [18, 40, 9] from Operation: 88-79=9 Current State: 38:[18, 40, 9], Operations: ['88-79=9'] Exploring Operation: 18/9=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 18/9=2 Current State: 38:[40, 2], Operations: ['88-79=9', '18/9=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 5, 5, 80 ]
51
[ "5+80=85", "3*85=255", "255/5=51" ]
Current State: 51:[3, 5, 5, 80], Operations: [] Exploring Operation: 5+80=85, Resulting Numbers: [3, 85] Generated Node #2: [3, 85] from Operation: 5+80=85 Current State: 51:[3, 85], Operations: ['5+80=85'] Exploring Operation: 3*85=255, Resulting Numbers: [255] 255,51 equal: Goal Reached Exploring Operation: 255/5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 27, 46, 50, 86 ]
43
[ "50-27=23", "46/23=2", "86/2=43" ]
Current State: 43:[27, 46, 50, 86], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [46, 86, 23] Generated Node #2: [46, 86, 23] from Operation: 50-27=23 Current State: 43:[46, 86, 23], Operations: ['50-27=23'] Exploring Operation: 46/23=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 46/23=2 Current State: 43:[86, 2], Operations: ['50-27=23', '46/23=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 15, 52, 57, 41 ]
53
[ "52-15=37", "57-41=16", "37+16=53" ]
Current State: 53:[15, 52, 57, 41], Operations: [] Exploring Operation: 52-15=37, Resulting Numbers: [57, 41, 37] Generated Node #2: [57, 41, 37] from Operation: 52-15=37 Current State: 53:[57, 41, 37], Operations: ['52-15=37'] Exploring Operation: 57-41=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 57-41=16 Current State: 53:[37, 16], Operations: ['52-15=37', '57-41=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 50, 20, 44 ]
95
[ "84*50=4200", "4200-20=4180", "4180/44=95" ]
Current State: 95:[84, 50, 20, 44], Operations: [] Exploring Operation: 84*50=4200, Resulting Numbers: [20, 44, 4200] Generated Node #2: [20, 44, 4200] from Operation: 84*50=4200 Current State: 95:[20, 44, 4200], Operations: ['84*50=4200'] Exploring Operation: 4200-20=4180, Resulting Numbers: [44, 4180] Generated Node #3: [44, 4180] from Operation: 4200-20=4180 Current State: 95:[44, 4180], Operations: ['84*50=4200', '4200-20=4180'] Exploring Operation: 4180/44=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4