nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 62, 22, 72, 60 ]
61
[ "62-60=2", "22/2=11", "72-11=61" ]
Current State: 61:[62, 22, 72, 60], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [22, 72, 2] Generated Node #2: [22, 72, 2] from Operation: 62-60=2 Current State: 61:[22, 72, 2], Operations: ['62-60=2'] Exploring Operation: 22/2=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 22/2=11 Current State: 61:[72, 11], Operations: ['62-60=2', '22/2=11'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 79, 82, 71, 5 ]
52
[ "79+71=150", "150/5=30", "82-30=52" ]
Current State: 52:[79, 82, 71, 5], Operations: [] Exploring Operation: 79+71=150, Resulting Numbers: [82, 5, 150] Generated Node #2: [82, 5, 150] from Operation: 79+71=150 Current State: 52:[82, 5, 150], Operations: ['79+71=150'] Exploring Operation: 150/5=30, Resulting Numbers: [82, 30] Generated Node #3: [82, 30] from Operation: 150/5=30 Current State: 52:[82, 30], Operations: ['79+71=150', '150/5=30'] Exploring Operation: 82-30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 28, 52, 52 ]
13
[ "60+52=112", "28*52=1456", "1456/112=13" ]
Current State: 13:[60, 28, 52, 52], Operations: [] Exploring Operation: 60+52=112, Resulting Numbers: [28, 112] Generated Node #2: [28, 112] from Operation: 60+52=112 Current State: 13:[28, 112], Operations: ['60+52=112'] Exploring Operation: 28*52=1456, Resulting Numbers: [112, 1456] Generated Node #3: [112, 1456] from Operation: 28*52=1456 Current State: 13:[112, 1456], Operations: ['60+52=112', '28*52=1456'] Exploring Operation: 1456/112=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 23, 81, 16 ]
32
[ "63+81=144", "144/16=9", "23+9=32" ]
Current State: 32:[63, 23, 81, 16], Operations: [] Exploring Operation: 63+81=144, Resulting Numbers: [23, 16, 144] Generated Node #2: [23, 16, 144] from Operation: 63+81=144 Current State: 32:[23, 16, 144], Operations: ['63+81=144'] Exploring Operation: 144/16=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 144/16=9 Current State: 32:[23, 9], Operations: ['63+81=144', '144/16=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 95, 22, 7, 28 ]
95
[ "22+7=29", "29-28=1", "95*1=95" ]
Current State: 95:[95, 22, 7, 28], Operations: [] Exploring Operation: 22+7=29, Resulting Numbers: [95, 28, 29] Generated Node #2: [95, 28, 29] from Operation: 22+7=29 Current State: 95:[95, 28, 29], Operations: ['22+7=29'] Exploring Operation: 29-28=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 29-28=1 Current State: 95:[95, 1], Operations: ['22+7=29', '29-28=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 57, 58, 43, 43 ]
87
[ "58-57=1", "43+43=86", "1+86=87" ]
Current State: 87:[57, 58, 43, 43], Operations: [] Exploring Operation: 58-57=1, Resulting Numbers: [43, 43, 1] Generated Node #2: [43, 43, 1] from Operation: 58-57=1 Current State: 87:[43, 43, 1], Operations: ['58-57=1'] Exploring Operation: 43+43=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 43+43=86 Current State: 87:[1, 86], Operations: ['58-57=1', '43+43=86'] Exploring Operation: 1+86=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 44, 11, 48 ]
12
[ "4+44=48", "48/48=1", "11+1=12" ]
Current State: 12:[4, 44, 11, 48], Operations: [] Exploring Operation: 4+44=48, Resulting Numbers: [11, 48, 48] Generated Node #2: [11, 48, 48] from Operation: 4+44=48 Current State: 12:[11, 48, 48], Operations: ['4+44=48'] Exploring Operation: 48/48=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 48/48=1 Current State: 12:[11, 1], Operations: ['4+44=48', '48/48=1'] Exploring Operation: 11+1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 17, 90, 83, 52 ]
42
[ "90-17=73", "83-52=31", "73-31=42" ]
Current State: 42:[17, 90, 83, 52], Operations: [] Exploring Operation: 90-17=73, Resulting Numbers: [83, 52, 73] Generated Node #2: [83, 52, 73] from Operation: 90-17=73 Current State: 42:[83, 52, 73], Operations: ['90-17=73'] Exploring Operation: 83-52=31, Resulting Numbers: [73, 31] Generated Node #3: [73, 31] from Operation: 83-52=31 Current State: 42:[73, 31], Operations: ['90-17=73', '83-52=31'] Exploring Operation: 73-31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 58, 34, 92 ]
37
[ "31+58=89", "34+92=126", "126-89=37" ]
Current State: 37:[31, 58, 34, 92], Operations: [] Exploring Operation: 31+58=89, Resulting Numbers: [34, 92, 89] Generated Node #2: [34, 92, 89] from Operation: 31+58=89 Current State: 37:[34, 92, 89], Operations: ['31+58=89'] Exploring Operation: 34+92=126, Resulting Numbers: [89, 126] Generated Node #3: [89, 126] from Operation: 34+92=126 Current State: 37:[89, 126], Operations: ['31+58=89', '34+92=126'] Exploring Operation: 126-89=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 80, 85, 90, 30 ]
55
[ "80+85=165", "90/30=3", "165/3=55" ]
Current State: 55:[80, 85, 90, 30], Operations: [] Exploring Operation: 80+85=165, Resulting Numbers: [90, 30, 165] Generated Node #2: [90, 30, 165] from Operation: 80+85=165 Current State: 55:[90, 30, 165], Operations: ['80+85=165'] Exploring Operation: 90/30=3, Resulting Numbers: [165, 3] Generated Node #3: [165, 3] from Operation: 90/30=3 Current State: 55:[165, 3], Operations: ['80+85=165', '90/30=3'] Exploring Operation: 165/3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 55, 31, 17 ]
99
[ "58+55=113", "31-17=14", "113-14=99" ]
Current State: 99:[58, 55, 31, 17], Operations: [] Exploring Operation: 58+55=113, Resulting Numbers: [31, 17, 113] Generated Node #2: [31, 17, 113] from Operation: 58+55=113 Current State: 99:[31, 17, 113], Operations: ['58+55=113'] Exploring Operation: 31-17=14, Resulting Numbers: [113, 14] Generated Node #3: [113, 14] from Operation: 31-17=14 Current State: 99:[113, 14], Operations: ['58+55=113', '31-17=14'] Exploring Operation: 113-14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 2, 11, 76 ]
22
[ "49+11=60", "76/2=38", "60-38=22" ]
Current State: 22:[49, 2, 11, 76], Operations: [] Exploring Operation: 49+11=60, Resulting Numbers: [2, 76, 60] Generated Node #2: [2, 76, 60] from Operation: 49+11=60 Current State: 22:[2, 76, 60], Operations: ['49+11=60'] Exploring Operation: 76/2=38, Resulting Numbers: [60, 38] Generated Node #3: [60, 38] from Operation: 76/2=38 Current State: 22:[60, 38], Operations: ['49+11=60', '76/2=38'] Exploring Operation: 60-38=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 40, 66, 92, 19 ]
33
[ "40+66=106", "92-19=73", "106-73=33" ]
Current State: 33:[40, 66, 92, 19], Operations: [] Exploring Operation: 40+66=106, Resulting Numbers: [92, 19, 106] Generated Node #2: [92, 19, 106] from Operation: 40+66=106 Current State: 33:[92, 19, 106], Operations: ['40+66=106'] Exploring Operation: 92-19=73, Resulting Numbers: [106, 73] Generated Node #3: [106, 73] from Operation: 92-19=73 Current State: 33:[106, 73], Operations: ['40+66=106', '92-19=73'] Exploring Operation: 106-73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 64, 9, 11, 95 ]
11
[ "64+9=73", "95-11=84", "84-73=11" ]
Current State: 11:[64, 9, 11, 95], Operations: [] Exploring Operation: 64+9=73, Resulting Numbers: [11, 95, 73] Generated Node #2: [11, 95, 73] from Operation: 64+9=73 Current State: 11:[11, 95, 73], Operations: ['64+9=73'] Exploring Operation: 95-11=84, Resulting Numbers: [73, 84] Generated Node #3: [73, 84] from Operation: 95-11=84 Current State: 11:[73, 84], Operations: ['64+9=73', '95-11=84'] Exploring Operation: 84-73=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 98, 64, 30 ]
69
[ "65+98=163", "64+30=94", "163-94=69" ]
Current State: 69:[65, 98, 64, 30], Operations: [] Exploring Operation: 65+98=163, Resulting Numbers: [64, 30, 163] Generated Node #2: [64, 30, 163] from Operation: 65+98=163 Current State: 69:[64, 30, 163], Operations: ['65+98=163'] Exploring Operation: 64+30=94, Resulting Numbers: [163, 94] Generated Node #3: [163, 94] from Operation: 64+30=94 Current State: 69:[163, 94], Operations: ['65+98=163', '64+30=94'] Exploring Operation: 163-94=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 2, 49, 47 ]
65
[ "49+47=96", "96/2=48", "17+48=65" ]
Current State: 65:[17, 2, 49, 47], Operations: [] Exploring Operation: 49+47=96, Resulting Numbers: [17, 2, 96] Generated Node #2: [17, 2, 96] from Operation: 49+47=96 Current State: 65:[17, 2, 96], Operations: ['49+47=96'] Exploring Operation: 96/2=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 96/2=48 Current State: 65:[17, 48], Operations: ['49+47=96', '96/2=48'] Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 66, 33, 6, 58 ]
80
[ "66/6=11", "33+58=91", "91-11=80" ]
Current State: 80:[66, 33, 6, 58], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [33, 58, 11] Generated Node #2: [33, 58, 11] from Operation: 66/6=11 Current State: 80:[33, 58, 11], Operations: ['66/6=11'] Exploring Operation: 33+58=91, Resulting Numbers: [11, 91] Generated Node #3: [11, 91] from Operation: 33+58=91 Current State: 80:[11, 91], Operations: ['66/6=11', '33+58=91'] Exploring Operation: 91-11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 10, 45, 19 ]
69
[ "53-10=43", "45-19=26", "43+26=69" ]
Current State: 69:[53, 10, 45, 19], Operations: [] Exploring Operation: 53-10=43, Resulting Numbers: [45, 19, 43] Generated Node #2: [45, 19, 43] from Operation: 53-10=43 Current State: 69:[45, 19, 43], Operations: ['53-10=43'] Exploring Operation: 45-19=26, Resulting Numbers: [43, 26] Generated Node #3: [43, 26] from Operation: 45-19=26 Current State: 69:[43, 26], Operations: ['53-10=43', '45-19=26'] Exploring Operation: 43+26=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 88, 98, 84 ]
56
[ "98-88=10", "84*10=840", "840/15=56" ]
Current State: 56:[15, 88, 98, 84], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [15, 84, 10] Generated Node #2: [15, 84, 10] from Operation: 98-88=10 Current State: 56:[15, 84, 10], Operations: ['98-88=10'] Exploring Operation: 84*10=840, Resulting Numbers: [15, 840] Generated Node #3: [15, 840] from Operation: 84*10=840 Current State: 56:[15, 840], Operations: ['98-88=10', '84*10=840'] Exploring Operation: 840/15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 52, 18, 57, 16 ]
83
[ "18-16=2", "52/2=26", "57+26=83" ]
Current State: 83:[52, 18, 57, 16], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [52, 57, 2] Generated Node #2: [52, 57, 2] from Operation: 18-16=2 Current State: 83:[52, 57, 2], Operations: ['18-16=2'] Exploring Operation: 52/2=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 52/2=26 Current State: 83:[57, 26], Operations: ['18-16=2', '52/2=26'] Exploring Operation: 57+26=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 73, 21, 20 ]
41
[ "73-31=42", "21-20=1", "42-1=41" ]
Current State: 41:[31, 73, 21, 20], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [21, 20, 42] Generated Node #2: [21, 20, 42] from Operation: 73-31=42 Current State: 41:[21, 20, 42], Operations: ['73-31=42'] Exploring Operation: 21-20=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 21-20=1 Current State: 41:[42, 1], Operations: ['73-31=42', '21-20=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 5, 22, 26 ]
49
[ "26-24=2", "22*2=44", "5+44=49" ]
Current State: 49:[24, 5, 22, 26], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [5, 22, 2] Generated Node #2: [5, 22, 2] from Operation: 26-24=2 Current State: 49:[5, 22, 2], Operations: ['26-24=2'] Exploring Operation: 22*2=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 22*2=44 Current State: 49:[5, 44], Operations: ['26-24=2', '22*2=44'] Exploring Operation: 5+44=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 72, 83, 93, 99 ]
37
[ "72+83=155", "93+99=192", "192-155=37" ]
Current State: 37:[72, 83, 93, 99], Operations: [] Exploring Operation: 72+83=155, Resulting Numbers: [93, 99, 155] Generated Node #2: [93, 99, 155] from Operation: 72+83=155 Current State: 37:[93, 99, 155], Operations: ['72+83=155'] Exploring Operation: 93+99=192, Resulting Numbers: [155, 192] Generated Node #3: [155, 192] from Operation: 93+99=192 Current State: 37:[155, 192], Operations: ['72+83=155', '93+99=192'] Exploring Operation: 192-155=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 54, 23, 72, 5 ]
97
[ "72-54=18", "23*5=115", "115-18=97" ]
Current State: 97:[54, 23, 72, 5], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [23, 5, 18] Generated Node #2: [23, 5, 18] from Operation: 72-54=18 Current State: 97:[23, 5, 18], Operations: ['72-54=18'] Exploring Operation: 23*5=115, Resulting Numbers: [18, 115] Generated Node #3: [18, 115] from Operation: 23*5=115 Current State: 97:[18, 115], Operations: ['72-54=18', '23*5=115'] Exploring Operation: 115-18=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 61, 94, 80, 52 ]
61
[ "94-61=33", "80-52=28", "33+28=61" ]
Current State: 61:[61, 94, 80, 52], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [80, 52, 33] Generated Node #2: [80, 52, 33] from Operation: 94-61=33 Current State: 61:[80, 52, 33], Operations: ['94-61=33'] Exploring Operation: 80-52=28, Resulting Numbers: [33, 28] Generated Node #3: [33, 28] from Operation: 80-52=28 Current State: 61:[33, 28], Operations: ['94-61=33', '80-52=28'] Exploring Operation: 33+28=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 29, 32, 64, 18 ]
94
[ "29+18=47", "64/32=2", "47*2=94" ]
Current State: 94:[29, 32, 64, 18], Operations: [] Exploring Operation: 29+18=47, Resulting Numbers: [32, 64, 47] Generated Node #2: [32, 64, 47] from Operation: 29+18=47 Current State: 94:[32, 64, 47], Operations: ['29+18=47'] Exploring Operation: 64/32=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 64/32=2 Current State: 94:[47, 2], Operations: ['29+18=47', '64/32=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 87, 45, 33 ]
47
[ "38+87=125", "45+33=78", "125-78=47" ]
Current State: 47:[38, 87, 45, 33], Operations: [] Exploring Operation: 38+87=125, Resulting Numbers: [45, 33, 125] Generated Node #2: [45, 33, 125] from Operation: 38+87=125 Current State: 47:[45, 33, 125], Operations: ['38+87=125'] Exploring Operation: 45+33=78, Resulting Numbers: [125, 78] Generated Node #3: [125, 78] from Operation: 45+33=78 Current State: 47:[125, 78], Operations: ['38+87=125', '45+33=78'] Exploring Operation: 125-78=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 12, 63, 45 ]
34
[ "51*12=612", "63-45=18", "612/18=34" ]
Current State: 34:[51, 12, 63, 45], Operations: [] Exploring Operation: 51*12=612, Resulting Numbers: [63, 45, 612] Generated Node #2: [63, 45, 612] from Operation: 51*12=612 Current State: 34:[63, 45, 612], Operations: ['51*12=612'] Exploring Operation: 63-45=18, Resulting Numbers: [612, 18] Generated Node #3: [612, 18] from Operation: 63-45=18 Current State: 34:[612, 18], Operations: ['51*12=612', '63-45=18'] Exploring Operation: 612/18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 37, 79, 65 ]
39
[ "16+37=53", "79-65=14", "53-14=39" ]
Current State: 39:[16, 37, 79, 65], Operations: [] Exploring Operation: 16+37=53, Resulting Numbers: [79, 65, 53] Generated Node #2: [79, 65, 53] from Operation: 16+37=53 Current State: 39:[79, 65, 53], Operations: ['16+37=53'] Exploring Operation: 79-65=14, Resulting Numbers: [53, 14] Generated Node #3: [53, 14] from Operation: 79-65=14 Current State: 39:[53, 14], Operations: ['16+37=53', '79-65=14'] Exploring Operation: 53-14=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 13, 50, 28 ]
36
[ "81*28=2268", "13+50=63", "2268/63=36" ]
Current State: 36:[81, 13, 50, 28], Operations: [] Exploring Operation: 81*28=2268, Resulting Numbers: [13, 50, 2268] Generated Node #2: [13, 50, 2268] from Operation: 81*28=2268 Current State: 36:[13, 50, 2268], Operations: ['81*28=2268'] Exploring Operation: 13+50=63, Resulting Numbers: [2268, 63] Generated Node #3: [2268, 63] from Operation: 13+50=63 Current State: 36:[2268, 63], Operations: ['81*28=2268', '13+50=63'] Exploring Operation: 2268/63=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 86, 2, 24 ]
67
[ "24+86=110", "24+110=134", "134/2=67" ]
Current State: 67:[24, 86, 2, 24], Operations: [] Exploring Operation: 24+86=110, Resulting Numbers: [2, 110] Generated Node #2: [2, 110] from Operation: 24+86=110 Current State: 67:[2, 110], Operations: ['24+86=110'] Exploring Operation: 24+110=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 24+110=134 Current State: 67:[2, 134], Operations: ['24+86=110', '24+110=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 65, 55, 44 ]
92
[ "16+65=81", "55-44=11", "81+11=92" ]
Current State: 92:[16, 65, 55, 44], Operations: [] Exploring Operation: 16+65=81, Resulting Numbers: [55, 44, 81] Generated Node #2: [55, 44, 81] from Operation: 16+65=81 Current State: 92:[55, 44, 81], Operations: ['16+65=81'] Exploring Operation: 55-44=11, Resulting Numbers: [81, 11] Generated Node #3: [81, 11] from Operation: 55-44=11 Current State: 92:[81, 11], Operations: ['16+65=81', '55-44=11'] Exploring Operation: 81+11=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 28, 70, 42 ]
14
[ "8*70=560", "28+560=588", "588/42=14" ]
Current State: 14:[8, 28, 70, 42], Operations: [] Exploring Operation: 8*70=560, Resulting Numbers: [28, 42, 560] Generated Node #2: [28, 42, 560] from Operation: 8*70=560 Current State: 14:[28, 42, 560], Operations: ['8*70=560'] Exploring Operation: 28+560=588, Resulting Numbers: [42, 588] Generated Node #3: [42, 588] from Operation: 28+560=588 Current State: 14:[42, 588], Operations: ['8*70=560', '28+560=588'] Exploring Operation: 588/42=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 40, 16, 86, 36 ]
74
[ "40-16=24", "86-36=50", "24+50=74" ]
Current State: 74:[40, 16, 86, 36], Operations: [] Exploring Operation: 40-16=24, Resulting Numbers: [86, 36, 24] Generated Node #2: [86, 36, 24] from Operation: 40-16=24 Current State: 74:[86, 36, 24], Operations: ['40-16=24'] Exploring Operation: 86-36=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 86-36=50 Current State: 74:[24, 50], Operations: ['40-16=24', '86-36=50'] Exploring Operation: 24+50=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 37, 2, 9, 76 ]
57
[ "76-37=39", "2*9=18", "39+18=57" ]
Current State: 57:[37, 2, 9, 76], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [2, 9, 39] Generated Node #2: [2, 9, 39] from Operation: 76-37=39 Current State: 57:[2, 9, 39], Operations: ['76-37=39'] Exploring Operation: 2*9=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 2*9=18 Current State: 57:[39, 18], Operations: ['76-37=39', '2*9=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 98, 77, 59, 84 ]
46
[ "98-77=21", "84-59=25", "21+25=46" ]
Current State: 46:[98, 77, 59, 84], Operations: [] Exploring Operation: 98-77=21, Resulting Numbers: [59, 84, 21] Generated Node #2: [59, 84, 21] from Operation: 98-77=21 Current State: 46:[59, 84, 21], Operations: ['98-77=21'] Exploring Operation: 84-59=25, Resulting Numbers: [21, 25] Generated Node #3: [21, 25] from Operation: 84-59=25 Current State: 46:[21, 25], Operations: ['98-77=21', '84-59=25'] Exploring Operation: 21+25=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 94, 53, 67, 42 ]
67
[ "94-53=41", "42-41=1", "67*1=67" ]
Current State: 67:[94, 53, 67, 42], Operations: [] Exploring Operation: 94-53=41, Resulting Numbers: [67, 42, 41] Generated Node #2: [67, 42, 41] from Operation: 94-53=41 Current State: 67:[67, 42, 41], Operations: ['94-53=41'] Exploring Operation: 42-41=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 42-41=1 Current State: 67:[67, 1], Operations: ['94-53=41', '42-41=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 33, 16, 6, 87 ]
98
[ "33-16=17", "87-6=81", "17+81=98" ]
Current State: 98:[33, 16, 6, 87], Operations: [] Exploring Operation: 33-16=17, Resulting Numbers: [6, 87, 17] Generated Node #2: [6, 87, 17] from Operation: 33-16=17 Current State: 98:[6, 87, 17], Operations: ['33-16=17'] Exploring Operation: 87-6=81, Resulting Numbers: [17, 81] Generated Node #3: [17, 81] from Operation: 87-6=81 Current State: 98:[17, 81], Operations: ['33-16=17', '87-6=81'] Exploring Operation: 17+81=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 90, 96, 19, 92 ]
14
[ "96-92=4", "19*4=76", "90-76=14" ]
Current State: 14:[90, 96, 19, 92], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [90, 19, 4] Generated Node #2: [90, 19, 4] from Operation: 96-92=4 Current State: 14:[90, 19, 4], Operations: ['96-92=4'] Exploring Operation: 19*4=76, Resulting Numbers: [90, 76] Generated Node #3: [90, 76] from Operation: 19*4=76 Current State: 14:[90, 76], Operations: ['96-92=4', '19*4=76'] Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 93, 94, 97 ]
29
[ "97-68=29", "94-93=1", "29*1=29" ]
Current State: 29:[68, 93, 94, 97], Operations: [] Exploring Operation: 97-68=29, Resulting Numbers: [93, 94, 29] Generated Node #2: [93, 94, 29] from Operation: 97-68=29 Current State: 29:[93, 94, 29], Operations: ['97-68=29'] Exploring Operation: 94-93=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 94-93=1 Current State: 29:[29, 1], Operations: ['97-68=29', '94-93=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 67, 13, 66 ]
83
[ "70+13=83", "67-66=1", "83*1=83" ]
Current State: 83:[70, 67, 13, 66], Operations: [] Exploring Operation: 70+13=83, Resulting Numbers: [67, 66, 83] Generated Node #2: [67, 66, 83] from Operation: 70+13=83 Current State: 83:[67, 66, 83], Operations: ['70+13=83'] Exploring Operation: 67-66=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 67-66=1 Current State: 83:[83, 1], Operations: ['70+13=83', '67-66=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 10, 20, 31 ]
71
[ "80*10=800", "800/20=40", "31+40=71" ]
Current State: 71:[80, 10, 20, 31], Operations: [] Exploring Operation: 80*10=800, Resulting Numbers: [20, 31, 800] Generated Node #2: [20, 31, 800] from Operation: 80*10=800 Current State: 71:[20, 31, 800], Operations: ['80*10=800'] Exploring Operation: 800/20=40, Resulting Numbers: [31, 40] Generated Node #3: [31, 40] from Operation: 800/20=40 Current State: 71:[31, 40], Operations: ['80*10=800', '800/20=40'] Exploring Operation: 31+40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 89, 27, 21 ]
65
[ "27-21=6", "4*6=24", "89-24=65" ]
Current State: 65:[4, 89, 27, 21], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [4, 89, 6] Generated Node #2: [4, 89, 6] from Operation: 27-21=6 Current State: 65:[4, 89, 6], Operations: ['27-21=6'] Exploring Operation: 4*6=24, Resulting Numbers: [89, 24] Generated Node #3: [89, 24] from Operation: 4*6=24 Current State: 65:[89, 24], Operations: ['27-21=6', '4*6=24'] Exploring Operation: 89-24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 71, 91, 78, 52 ]
65
[ "78-71=7", "91/7=13", "52+13=65" ]
Current State: 65:[71, 91, 78, 52], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [91, 52, 7] Generated Node #2: [91, 52, 7] from Operation: 78-71=7 Current State: 65:[91, 52, 7], Operations: ['78-71=7'] Exploring Operation: 91/7=13, Resulting Numbers: [52, 13] Generated Node #3: [52, 13] from Operation: 91/7=13 Current State: 65:[52, 13], Operations: ['78-71=7', '91/7=13'] Exploring Operation: 52+13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 81, 6, 81 ]
40
[ "35+6=41", "81/81=1", "41-1=40" ]
Current State: 40:[35, 81, 6, 81], Operations: [] Exploring Operation: 35+6=41, Resulting Numbers: [81, 81, 41] Generated Node #2: [81, 81, 41] from Operation: 35+6=41 Current State: 40:[81, 81, 41], Operations: ['35+6=41'] Exploring Operation: 81/81=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 81/81=1 Current State: 40:[41, 1], Operations: ['35+6=41', '81/81=1'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 97, 20, 71, 7 ]
39
[ "97+20=117", "71+7=78", "117-78=39" ]
Current State: 39:[97, 20, 71, 7], Operations: [] Exploring Operation: 97+20=117, Resulting Numbers: [71, 7, 117] Generated Node #2: [71, 7, 117] from Operation: 97+20=117 Current State: 39:[71, 7, 117], Operations: ['97+20=117'] Exploring Operation: 71+7=78, Resulting Numbers: [117, 78] Generated Node #3: [117, 78] from Operation: 71+7=78 Current State: 39:[117, 78], Operations: ['97+20=117', '71+7=78'] Exploring Operation: 117-78=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 84, 3, 85 ]
73
[ "98+84=182", "3*85=255", "255-182=73" ]
Current State: 73:[98, 84, 3, 85], Operations: [] Exploring Operation: 98+84=182, Resulting Numbers: [3, 85, 182] Generated Node #2: [3, 85, 182] from Operation: 98+84=182 Current State: 73:[3, 85, 182], Operations: ['98+84=182'] Exploring Operation: 3*85=255, Resulting Numbers: [182, 255] Generated Node #3: [182, 255] from Operation: 3*85=255 Current State: 73:[182, 255], Operations: ['98+84=182', '3*85=255'] Exploring Operation: 255-182=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 14, 42, 25, 74 ]
96
[ "42/14=3", "25+74=99", "99-3=96" ]
Current State: 96:[14, 42, 25, 74], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [25, 74, 3] Generated Node #2: [25, 74, 3] from Operation: 42/14=3 Current State: 96:[25, 74, 3], Operations: ['42/14=3'] Exploring Operation: 25+74=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 25+74=99 Current State: 96:[3, 99], Operations: ['42/14=3', '25+74=99'] Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 96, 28, 48 ]
82
[ "13+28=41", "96/48=2", "41*2=82" ]
Current State: 82:[13, 96, 28, 48], Operations: [] Exploring Operation: 13+28=41, Resulting Numbers: [96, 48, 41] Generated Node #2: [96, 48, 41] from Operation: 13+28=41 Current State: 82:[96, 48, 41], Operations: ['13+28=41'] Exploring Operation: 96/48=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 96/48=2 Current State: 82:[41, 2], Operations: ['13+28=41', '96/48=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 70, 64, 84, 95 ]
45
[ "70+64=134", "84+95=179", "179-134=45" ]
Current State: 45:[70, 64, 84, 95], Operations: [] Exploring Operation: 70+64=134, Resulting Numbers: [84, 95, 134] Generated Node #2: [84, 95, 134] from Operation: 70+64=134 Current State: 45:[84, 95, 134], Operations: ['70+64=134'] Exploring Operation: 84+95=179, Resulting Numbers: [134, 179] Generated Node #3: [134, 179] from Operation: 84+95=179 Current State: 45:[134, 179], Operations: ['70+64=134', '84+95=179'] Exploring Operation: 179-134=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 81, 46, 58, 34 ]
57
[ "81-46=35", "58+34=92", "92-35=57" ]
Current State: 57:[81, 46, 58, 34], Operations: [] Exploring Operation: 81-46=35, Resulting Numbers: [58, 34, 35] Generated Node #2: [58, 34, 35] from Operation: 81-46=35 Current State: 57:[58, 34, 35], Operations: ['81-46=35'] Exploring Operation: 58+34=92, Resulting Numbers: [35, 92] Generated Node #3: [35, 92] from Operation: 58+34=92 Current State: 57:[35, 92], Operations: ['81-46=35', '58+34=92'] Exploring Operation: 92-35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 14, 98, 28 ]
49
[ "98/14=7", "14+28=42", "7+42=49" ]
Current State: 49:[14, 14, 98, 28], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [28, 7] Generated Node #2: [28, 7] from Operation: 98/14=7 Current State: 49:[28, 7], Operations: ['98/14=7'] Exploring Operation: 14+28=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 14+28=42 Current State: 49:[7, 42], Operations: ['98/14=7', '14+28=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 45, 31, 43 ]
24
[ "45+31=76", "76/4=19", "43-19=24" ]
Current State: 24:[4, 45, 31, 43], Operations: [] Exploring Operation: 45+31=76, Resulting Numbers: [4, 43, 76] Generated Node #2: [4, 43, 76] from Operation: 45+31=76 Current State: 24:[4, 43, 76], Operations: ['45+31=76'] Exploring Operation: 76/4=19, Resulting Numbers: [43, 19] Generated Node #3: [43, 19] from Operation: 76/4=19 Current State: 24:[43, 19], Operations: ['45+31=76', '76/4=19'] Exploring Operation: 43-19=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 62, 38, 66 ]
16
[ "66-62=4", "88/4=22", "38-22=16" ]
Current State: 16:[88, 62, 38, 66], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [88, 38, 4] Generated Node #2: [88, 38, 4] from Operation: 66-62=4 Current State: 16:[88, 38, 4], Operations: ['66-62=4'] Exploring Operation: 88/4=22, Resulting Numbers: [38, 22] Generated Node #3: [38, 22] from Operation: 88/4=22 Current State: 16:[38, 22], Operations: ['66-62=4', '88/4=22'] Exploring Operation: 38-22=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 71, 95, 68, 38 ]
60
[ "71+95=166", "68+38=106", "166-106=60" ]
Current State: 60:[71, 95, 68, 38], Operations: [] Exploring Operation: 71+95=166, Resulting Numbers: [68, 38, 166] Generated Node #2: [68, 38, 166] from Operation: 71+95=166 Current State: 60:[68, 38, 166], Operations: ['71+95=166'] Exploring Operation: 68+38=106, Resulting Numbers: [166, 106] Generated Node #3: [166, 106] from Operation: 68+38=106 Current State: 60:[166, 106], Operations: ['71+95=166', '68+38=106'] Exploring Operation: 166-106=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 16, 68, 70 ]
13
[ "74-70=4", "68-16=52", "52/4=13" ]
Current State: 13:[74, 16, 68, 70], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [16, 68, 4] Generated Node #2: [16, 68, 4] from Operation: 74-70=4 Current State: 13:[16, 68, 4], Operations: ['74-70=4'] Exploring Operation: 68-16=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 68-16=52 Current State: 13:[4, 52], Operations: ['74-70=4', '68-16=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 66, 33, 91, 74 ]
15
[ "66/33=2", "91-74=17", "17-2=15" ]
Current State: 15:[66, 33, 91, 74], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [91, 74, 2] Generated Node #2: [91, 74, 2] from Operation: 66/33=2 Current State: 15:[91, 74, 2], Operations: ['66/33=2'] Exploring Operation: 91-74=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 91-74=17 Current State: 15:[2, 17], Operations: ['66/33=2', '91-74=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 87, 28, 32, 91 ]
25
[ "91-87=4", "28/4=7", "32-7=25" ]
Current State: 25:[87, 28, 32, 91], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [28, 32, 4] Generated Node #2: [28, 32, 4] from Operation: 91-87=4 Current State: 25:[28, 32, 4], Operations: ['91-87=4'] Exploring Operation: 28/4=7, Resulting Numbers: [32, 7] Generated Node #3: [32, 7] from Operation: 28/4=7 Current State: 25:[32, 7], Operations: ['91-87=4', '28/4=7'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 32, 97, 2 ]
81
[ "97-80=17", "32*2=64", "17+64=81" ]
Current State: 81:[80, 32, 97, 2], Operations: [] Exploring Operation: 97-80=17, Resulting Numbers: [32, 2, 17] Generated Node #2: [32, 2, 17] from Operation: 97-80=17 Current State: 81:[32, 2, 17], Operations: ['97-80=17'] Exploring Operation: 32*2=64, Resulting Numbers: [17, 64] Generated Node #3: [17, 64] from Operation: 32*2=64 Current State: 81:[17, 64], Operations: ['97-80=17', '32*2=64'] Exploring Operation: 17+64=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 53, 45, 6, 45 ]
38
[ "45+45=90", "90/6=15", "53-15=38" ]
Current State: 38:[53, 45, 6, 45], Operations: [] Exploring Operation: 45+45=90, Resulting Numbers: [53, 6, 90] Generated Node #2: [53, 6, 90] from Operation: 45+45=90 Current State: 38:[53, 6, 90], Operations: ['45+45=90'] Exploring Operation: 90/6=15, Resulting Numbers: [53, 15] Generated Node #3: [53, 15] from Operation: 90/6=15 Current State: 38:[53, 15], Operations: ['45+45=90', '90/6=15'] Exploring Operation: 53-15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 74, 88, 85, 59 ]
51
[ "85-74=11", "88/11=8", "59-8=51" ]
Current State: 51:[74, 88, 85, 59], Operations: [] Exploring Operation: 85-74=11, Resulting Numbers: [88, 59, 11] Generated Node #2: [88, 59, 11] from Operation: 85-74=11 Current State: 51:[88, 59, 11], Operations: ['85-74=11'] Exploring Operation: 88/11=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 88/11=8 Current State: 51:[59, 8], Operations: ['85-74=11', '88/11=8'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 37, 97, 20 ]
95
[ "37-20=17", "34/17=2", "97-2=95" ]
Current State: 95:[34, 37, 97, 20], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [34, 97, 17] Generated Node #2: [34, 97, 17] from Operation: 37-20=17 Current State: 95:[34, 97, 17], Operations: ['37-20=17'] Exploring Operation: 34/17=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 34/17=2 Current State: 95:[97, 2], Operations: ['37-20=17', '34/17=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 94, 78, 75 ]
52
[ "94-39=55", "78-75=3", "55-3=52" ]
Current State: 52:[39, 94, 78, 75], Operations: [] Exploring Operation: 94-39=55, Resulting Numbers: [78, 75, 55] Generated Node #2: [78, 75, 55] from Operation: 94-39=55 Current State: 52:[78, 75, 55], Operations: ['94-39=55'] Exploring Operation: 78-75=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 78-75=3 Current State: 52:[55, 3], Operations: ['94-39=55', '78-75=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 11, 46, 31 ]
90
[ "17-11=6", "46-31=15", "6*15=90" ]
Current State: 90:[17, 11, 46, 31], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [46, 31, 6] Generated Node #2: [46, 31, 6] from Operation: 17-11=6 Current State: 90:[46, 31, 6], Operations: ['17-11=6'] Exploring Operation: 46-31=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 46-31=15 Current State: 90:[6, 15], Operations: ['17-11=6', '46-31=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 68, 19, 70, 96 ]
23
[ "68-19=49", "96-70=26", "49-26=23" ]
Current State: 23:[68, 19, 70, 96], Operations: [] Exploring Operation: 68-19=49, Resulting Numbers: [70, 96, 49] Generated Node #2: [70, 96, 49] from Operation: 68-19=49 Current State: 23:[70, 96, 49], Operations: ['68-19=49'] Exploring Operation: 96-70=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 96-70=26 Current State: 23:[49, 26], Operations: ['68-19=49', '96-70=26'] Exploring Operation: 49-26=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 37, 83, 14 ]
91
[ "37-15=22", "83-14=69", "22+69=91" ]
Current State: 91:[15, 37, 83, 14], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [83, 14, 22] Generated Node #2: [83, 14, 22] from Operation: 37-15=22 Current State: 91:[83, 14, 22], Operations: ['37-15=22'] Exploring Operation: 83-14=69, Resulting Numbers: [22, 69] Generated Node #3: [22, 69] from Operation: 83-14=69 Current State: 91:[22, 69], Operations: ['37-15=22', '83-14=69'] Exploring Operation: 22+69=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 62, 84, 45, 10 ]
91
[ "62+84=146", "45+10=55", "146-55=91" ]
Current State: 91:[62, 84, 45, 10], Operations: [] Exploring Operation: 62+84=146, Resulting Numbers: [45, 10, 146] Generated Node #2: [45, 10, 146] from Operation: 62+84=146 Current State: 91:[45, 10, 146], Operations: ['62+84=146'] Exploring Operation: 45+10=55, Resulting Numbers: [146, 55] Generated Node #3: [146, 55] from Operation: 45+10=55 Current State: 91:[146, 55], Operations: ['62+84=146', '45+10=55'] Exploring Operation: 146-55=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 24, 38, 66, 51 ]
47
[ "24+38=62", "66-51=15", "62-15=47" ]
Current State: 47:[24, 38, 66, 51], Operations: [] Exploring Operation: 24+38=62, Resulting Numbers: [66, 51, 62] Generated Node #2: [66, 51, 62] from Operation: 24+38=62 Current State: 47:[66, 51, 62], Operations: ['24+38=62'] Exploring Operation: 66-51=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 66-51=15 Current State: 47:[62, 15], Operations: ['24+38=62', '66-51=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 80, 91, 37 ]
73
[ "91-80=11", "10*11=110", "110-37=73" ]
Current State: 73:[10, 80, 91, 37], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [10, 37, 11] Generated Node #2: [10, 37, 11] from Operation: 91-80=11 Current State: 73:[10, 37, 11], Operations: ['91-80=11'] Exploring Operation: 10*11=110, Resulting Numbers: [37, 110] Generated Node #3: [37, 110] from Operation: 10*11=110 Current State: 73:[37, 110], Operations: ['91-80=11', '10*11=110'] Exploring Operation: 110-37=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 33, 12, 73, 55 ]
51
[ "12+73=85", "33*85=2805", "2805/55=51" ]
Current State: 51:[33, 12, 73, 55], Operations: [] Exploring Operation: 12+73=85, Resulting Numbers: [33, 55, 85] Generated Node #2: [33, 55, 85] from Operation: 12+73=85 Current State: 51:[33, 55, 85], Operations: ['12+73=85'] Exploring Operation: 33*85=2805, Resulting Numbers: [55, 2805] Generated Node #3: [55, 2805] from Operation: 33*85=2805 Current State: 51:[55, 2805], Operations: ['12+73=85', '33*85=2805'] Exploring Operation: 2805/55=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 13, 19, 51, 45 ]
16
[ "19-13=6", "51+45=96", "96/6=16" ]
Current State: 16:[13, 19, 51, 45], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [51, 45, 6] Generated Node #2: [51, 45, 6] from Operation: 19-13=6 Current State: 16:[51, 45, 6], Operations: ['19-13=6'] Exploring Operation: 51+45=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 51+45=96 Current State: 16:[6, 96], Operations: ['19-13=6', '51+45=96'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 2, 15, 58 ]
96
[ "91+15=106", "106-58=48", "2*48=96" ]
Current State: 96:[91, 2, 15, 58], Operations: [] Exploring Operation: 91+15=106, Resulting Numbers: [2, 58, 106] Generated Node #2: [2, 58, 106] from Operation: 91+15=106 Current State: 96:[2, 58, 106], Operations: ['91+15=106'] Exploring Operation: 106-58=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 106-58=48 Current State: 96:[2, 48], Operations: ['91+15=106', '106-58=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 25, 25, 76, 4 ]
79
[ "25/25=1", "76+4=80", "80-1=79" ]
Current State: 79:[25, 25, 76, 4], Operations: [] Exploring Operation: 25/25=1, Resulting Numbers: [76, 4, 1] Generated Node #2: [76, 4, 1] from Operation: 25/25=1 Current State: 79:[76, 4, 1], Operations: ['25/25=1'] Exploring Operation: 76+4=80, Resulting Numbers: [1, 80] Generated Node #3: [1, 80] from Operation: 76+4=80 Current State: 79:[1, 80], Operations: ['25/25=1', '76+4=80'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 57, 23, 7, 66 ]
93
[ "57-23=34", "66-7=59", "34+59=93" ]
Current State: 93:[57, 23, 7, 66], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [7, 66, 34] Generated Node #2: [7, 66, 34] from Operation: 57-23=34 Current State: 93:[7, 66, 34], Operations: ['57-23=34'] Exploring Operation: 66-7=59, Resulting Numbers: [34, 59] Generated Node #3: [34, 59] from Operation: 66-7=59 Current State: 93:[34, 59], Operations: ['57-23=34', '66-7=59'] Exploring Operation: 34+59=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 86, 16, 79, 17 ]
95
[ "86-79=7", "16*7=112", "112-17=95" ]
Current State: 95:[86, 16, 79, 17], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [16, 17, 7] Generated Node #2: [16, 17, 7] from Operation: 86-79=7 Current State: 95:[16, 17, 7], Operations: ['86-79=7'] Exploring Operation: 16*7=112, Resulting Numbers: [17, 112] Generated Node #3: [17, 112] from Operation: 16*7=112 Current State: 95:[17, 112], Operations: ['86-79=7', '16*7=112'] Exploring Operation: 112-17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 22, 89, 10 ]
24
[ "89-87=2", "22-10=12", "2*12=24" ]
Current State: 24:[87, 22, 89, 10], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [22, 10, 2] Generated Node #2: [22, 10, 2] from Operation: 89-87=2 Current State: 24:[22, 10, 2], Operations: ['89-87=2'] Exploring Operation: 22-10=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 22-10=12 Current State: 24:[2, 12], Operations: ['89-87=2', '22-10=12'] Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 14, 40, 49 ]
42
[ "40*49=1960", "1960/35=56", "56-14=42" ]
Current State: 42:[35, 14, 40, 49], Operations: [] Exploring Operation: 40*49=1960, Resulting Numbers: [35, 14, 1960] Generated Node #2: [35, 14, 1960] from Operation: 40*49=1960 Current State: 42:[35, 14, 1960], Operations: ['40*49=1960'] Exploring Operation: 1960/35=56, Resulting Numbers: [14, 56] Generated Node #3: [14, 56] from Operation: 1960/35=56 Current State: 42:[14, 56], Operations: ['40*49=1960', '1960/35=56'] Exploring Operation: 56-14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 24, 77, 23, 23 ]
52
[ "77-24=53", "23/23=1", "53-1=52" ]
Current State: 52:[24, 77, 23, 23], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [23, 23, 53] Generated Node #2: [23, 23, 53] from Operation: 77-24=53 Current State: 52:[23, 23, 53], Operations: ['77-24=53'] Exploring Operation: 23/23=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 23/23=1 Current State: 52:[53, 1], Operations: ['77-24=53', '23/23=1'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 84, 37, 61 ]
62
[ "84-46=38", "61-37=24", "38+24=62" ]
Current State: 62:[46, 84, 37, 61], Operations: [] Exploring Operation: 84-46=38, Resulting Numbers: [37, 61, 38] Generated Node #2: [37, 61, 38] from Operation: 84-46=38 Current State: 62:[37, 61, 38], Operations: ['84-46=38'] Exploring Operation: 61-37=24, Resulting Numbers: [38, 24] Generated Node #3: [38, 24] from Operation: 61-37=24 Current State: 62:[38, 24], Operations: ['84-46=38', '61-37=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 68, 28, 65, 73 ]
24
[ "28*65=1820", "1820-68=1752", "1752/73=24" ]
Current State: 24:[68, 28, 65, 73], Operations: [] Exploring Operation: 28*65=1820, Resulting Numbers: [68, 73, 1820] Generated Node #2: [68, 73, 1820] from Operation: 28*65=1820 Current State: 24:[68, 73, 1820], Operations: ['28*65=1820'] Exploring Operation: 1820-68=1752, Resulting Numbers: [73, 1752] Generated Node #3: [73, 1752] from Operation: 1820-68=1752 Current State: 24:[73, 1752], Operations: ['28*65=1820', '1820-68=1752'] Exploring Operation: 1752/73=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 17, 9, 4, 8 ]
25
[ "17*8=136", "136/4=34", "34-9=25" ]
Current State: 25:[17, 9, 4, 8], Operations: [] Exploring Operation: 17*8=136, Resulting Numbers: [9, 4, 136] Generated Node #2: [9, 4, 136] from Operation: 17*8=136 Current State: 25:[9, 4, 136], Operations: ['17*8=136'] Exploring Operation: 136/4=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 136/4=34 Current State: 25:[9, 34], Operations: ['17*8=136', '136/4=34'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 16, 9, 17 ]
72
[ "19-17=2", "16*9=144", "144/2=72" ]
Current State: 72:[19, 16, 9, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [16, 9, 2] Generated Node #2: [16, 9, 2] from Operation: 19-17=2 Current State: 72:[16, 9, 2], Operations: ['19-17=2'] Exploring Operation: 16*9=144, Resulting Numbers: [2, 144] Generated Node #3: [2, 144] from Operation: 16*9=144 Current State: 72:[2, 144], Operations: ['19-17=2', '16*9=144'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 47, 6, 59 ]
34
[ "59-47=12", "12/6=2", "36-2=34" ]
Current State: 34:[36, 47, 6, 59], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [36, 6, 12] Generated Node #2: [36, 6, 12] from Operation: 59-47=12 Current State: 34:[36, 6, 12], Operations: ['59-47=12'] Exploring Operation: 12/6=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 12/6=2 Current State: 34:[36, 2], Operations: ['59-47=12', '12/6=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 78, 31, 2 ]
96
[ "88-31=57", "78/2=39", "57+39=96" ]
Current State: 96:[88, 78, 31, 2], Operations: [] Exploring Operation: 88-31=57, Resulting Numbers: [78, 2, 57] Generated Node #2: [78, 2, 57] from Operation: 88-31=57 Current State: 96:[78, 2, 57], Operations: ['88-31=57'] Exploring Operation: 78/2=39, Resulting Numbers: [57, 39] Generated Node #3: [57, 39] from Operation: 78/2=39 Current State: 96:[57, 39], Operations: ['88-31=57', '78/2=39'] Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 2, 80, 64 ]
62
[ "7+64=71", "2*71=142", "142-80=62" ]
Current State: 62:[7, 2, 80, 64], Operations: [] Exploring Operation: 7+64=71, Resulting Numbers: [2, 80, 71] Generated Node #2: [2, 80, 71] from Operation: 7+64=71 Current State: 62:[2, 80, 71], Operations: ['7+64=71'] Exploring Operation: 2*71=142, Resulting Numbers: [80, 142] Generated Node #3: [80, 142] from Operation: 2*71=142 Current State: 62:[80, 142], Operations: ['7+64=71', '2*71=142'] Exploring Operation: 142-80=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 25, 48, 48, 95 ]
24
[ "48-25=23", "95-48=47", "47-23=24" ]
Current State: 24:[25, 48, 48, 95], Operations: [] Exploring Operation: 48-25=23, Resulting Numbers: [95, 23] Generated Node #2: [95, 23] from Operation: 48-25=23 Current State: 24:[95, 23], Operations: ['48-25=23'] Exploring Operation: 95-48=47, Resulting Numbers: [23, 47] Generated Node #3: [23, 47] from Operation: 95-48=47 Current State: 24:[23, 47], Operations: ['48-25=23', '95-48=47'] Exploring Operation: 47-23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 57, 80, 20 ]
58
[ "80/4=20", "20/20=1", "57+1=58" ]
Current State: 58:[4, 57, 80, 20], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [57, 20, 20] Generated Node #2: [57, 20, 20] from Operation: 80/4=20 Current State: 58:[57, 20, 20], Operations: ['80/4=20'] Exploring Operation: 20/20=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 20/20=1 Current State: 58:[57, 1], Operations: ['80/4=20', '20/20=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 63, 98, 68, 3 ]
19
[ "68-63=5", "98-3=95", "95/5=19" ]
Current State: 19:[63, 98, 68, 3], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [98, 3, 5] Generated Node #2: [98, 3, 5] from Operation: 68-63=5 Current State: 19:[98, 3, 5], Operations: ['68-63=5'] Exploring Operation: 98-3=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 98-3=95 Current State: 19:[5, 95], Operations: ['68-63=5', '98-3=95'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 26, 69, 2 ]
14
[ "69-45=24", "24/2=12", "26-12=14" ]
Current State: 14:[45, 26, 69, 2], Operations: [] Exploring Operation: 69-45=24, Resulting Numbers: [26, 2, 24] Generated Node #2: [26, 2, 24] from Operation: 69-45=24 Current State: 14:[26, 2, 24], Operations: ['69-45=24'] Exploring Operation: 24/2=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 24/2=12 Current State: 14:[26, 12], Operations: ['69-45=24', '24/2=12'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 33, 20, 31 ]
52
[ "6+20=26", "33-31=2", "26*2=52" ]
Current State: 52:[6, 33, 20, 31], Operations: [] Exploring Operation: 6+20=26, Resulting Numbers: [33, 31, 26] Generated Node #2: [33, 31, 26] from Operation: 6+20=26 Current State: 52:[33, 31, 26], Operations: ['6+20=26'] Exploring Operation: 33-31=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 33-31=2 Current State: 52:[26, 2], Operations: ['6+20=26', '33-31=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 7, 25, 88, 50 ]
79
[ "88-7=81", "50/25=2", "81-2=79" ]
Current State: 79:[7, 25, 88, 50], Operations: [] Exploring Operation: 88-7=81, Resulting Numbers: [25, 50, 81] Generated Node #2: [25, 50, 81] from Operation: 88-7=81 Current State: 79:[25, 50, 81], Operations: ['88-7=81'] Exploring Operation: 50/25=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 50/25=2 Current State: 79:[81, 2], Operations: ['88-7=81', '50/25=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 21, 92, 59 ]
10
[ "92-59=33", "33/3=11", "21-11=10" ]
Current State: 10:[3, 21, 92, 59], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [3, 21, 33] Generated Node #2: [3, 21, 33] from Operation: 92-59=33 Current State: 10:[3, 21, 33], Operations: ['92-59=33'] Exploring Operation: 33/3=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 33/3=11 Current State: 10:[21, 11], Operations: ['92-59=33', '33/3=11'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 28, 82, 26 ]
48
[ "82-26=56", "56/28=2", "50-2=48" ]
Current State: 48:[50, 28, 82, 26], Operations: [] Exploring Operation: 82-26=56, Resulting Numbers: [50, 28, 56] Generated Node #2: [50, 28, 56] from Operation: 82-26=56 Current State: 48:[50, 28, 56], Operations: ['82-26=56'] Exploring Operation: 56/28=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 56/28=2 Current State: 48:[50, 2], Operations: ['82-26=56', '56/28=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 73, 15, 12, 12 ]
58
[ "73-15=58", "12-12=0", "58+0=58" ]
Current State: 58:[73, 15, 12, 12], Operations: [] Exploring Operation: 73-15=58, Resulting Numbers: [12, 12, 58] Generated Node #2: [12, 12, 58] from Operation: 73-15=58 Current State: 58:[12, 12, 58], Operations: ['73-15=58'] Exploring Operation: 12-12=0, Resulting Numbers: [58, 0] Generated Node #3: [58, 0] from Operation: 12-12=0 Current State: 58:[58, 0], Operations: ['73-15=58', '12-12=0'] Exploring Operation: 58+0=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 4, 30, 18 ]
22
[ "30-18=12", "12/4=3", "19+3=22" ]
Current State: 22:[19, 4, 30, 18], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [19, 4, 12] Generated Node #2: [19, 4, 12] from Operation: 30-18=12 Current State: 22:[19, 4, 12], Operations: ['30-18=12'] Exploring Operation: 12/4=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 12/4=3 Current State: 22:[19, 3], Operations: ['30-18=12', '12/4=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 36, 19, 31 ]
57
[ "9+36=45", "31-19=12", "45+12=57" ]
Current State: 57:[9, 36, 19, 31], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [19, 31, 45] Generated Node #2: [19, 31, 45] from Operation: 9+36=45 Current State: 57:[19, 31, 45], Operations: ['9+36=45'] Exploring Operation: 31-19=12, Resulting Numbers: [45, 12] Generated Node #3: [45, 12] from Operation: 31-19=12 Current State: 57:[45, 12], Operations: ['9+36=45', '31-19=12'] Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 79, 3, 91, 6 ]
69
[ "91-79=12", "6*12=72", "72-3=69" ]
Current State: 69:[79, 3, 91, 6], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [3, 6, 12] Generated Node #2: [3, 6, 12] from Operation: 91-79=12 Current State: 69:[3, 6, 12], Operations: ['91-79=12'] Exploring Operation: 6*12=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 6*12=72 Current State: 69:[3, 72], Operations: ['91-79=12', '6*12=72'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 58, 96, 55, 4 ]
89
[ "96-58=38", "55-4=51", "38+51=89" ]
Current State: 89:[58, 96, 55, 4], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [55, 4, 38] Generated Node #2: [55, 4, 38] from Operation: 96-58=38 Current State: 89:[55, 4, 38], Operations: ['96-58=38'] Exploring Operation: 55-4=51, Resulting Numbers: [38, 51] Generated Node #3: [38, 51] from Operation: 55-4=51 Current State: 89:[38, 51], Operations: ['96-58=38', '55-4=51'] Exploring Operation: 38+51=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 78, 13, 35, 55 ]
84
[ "78/13=6", "35+55=90", "90-6=84" ]
Current State: 84:[78, 13, 35, 55], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [35, 55, 6] Generated Node #2: [35, 55, 6] from Operation: 78/13=6 Current State: 84:[35, 55, 6], Operations: ['78/13=6'] Exploring Operation: 35+55=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 35+55=90 Current State: 84:[6, 90], Operations: ['78/13=6', '35+55=90'] Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 30, 87, 99 ]
92
[ "87+99=186", "186/3=62", "30+62=92" ]
Current State: 92:[3, 30, 87, 99], Operations: [] Exploring Operation: 87+99=186, Resulting Numbers: [3, 30, 186] Generated Node #2: [3, 30, 186] from Operation: 87+99=186 Current State: 92:[3, 30, 186], Operations: ['87+99=186'] Exploring Operation: 186/3=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 186/3=62 Current State: 92:[30, 62], Operations: ['87+99=186', '186/3=62'] Exploring Operation: 30+62=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4