nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 80, 14, 69, 53 ]
70
[ "80*14=1120", "69-53=16", "1120/16=70" ]
Current State: 70:[80, 14, 69, 53], Operations: [] Exploring Operation: 80*14=1120, Resulting Numbers: [69, 53, 1120] Generated Node #2: [69, 53, 1120] from Operation: 80*14=1120 Current State: 70:[69, 53, 1120], Operations: ['80*14=1120'] Exploring Operation: 69-53=16, Resulting Numbers: [1120, 16] Generated Node #3: [1120, 16] from Operation: 69-53=16 Current State: 70:[1120, 16], Operations: ['80*14=1120', '69-53=16'] Exploring Operation: 1120/16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 49, 78, 4, 12 ]
13
[ "78-49=29", "4+12=16", "29-16=13" ]
Current State: 13:[49, 78, 4, 12], Operations: [] Exploring Operation: 78-49=29, Resulting Numbers: [4, 12, 29] Generated Node #2: [4, 12, 29] from Operation: 78-49=29 Current State: 13:[4, 12, 29], Operations: ['78-49=29'] Exploring Operation: 4+12=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 4+12=16 Current State: 13:[29, 16], Operations: ['78-49=29', '4+12=16'] Exploring Operation: 29-16=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 29, 79, 26, 65 ]
41
[ "79-29=50", "26+65=91", "91-50=41" ]
Current State: 41:[29, 79, 26, 65], Operations: [] Exploring Operation: 79-29=50, Resulting Numbers: [26, 65, 50] Generated Node #2: [26, 65, 50] from Operation: 79-29=50 Current State: 41:[26, 65, 50], Operations: ['79-29=50'] Exploring Operation: 26+65=91, Resulting Numbers: [50, 91] Generated Node #3: [50, 91] from Operation: 26+65=91 Current State: 41:[50, 91], Operations: ['79-29=50', '26+65=91'] Exploring Operation: 91-50=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 30, 36, 30, 27 ]
64
[ "30/30=1", "36+27=63", "1+63=64" ]
Current State: 64:[30, 36, 30, 27], Operations: [] Exploring Operation: 30/30=1, Resulting Numbers: [36, 27, 1] Generated Node #2: [36, 27, 1] from Operation: 30/30=1 Current State: 64:[36, 27, 1], Operations: ['30/30=1'] Exploring Operation: 36+27=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 36+27=63 Current State: 64:[1, 63], Operations: ['30/30=1', '36+27=63'] Exploring Operation: 1+63=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 3, 8, 93, 31 ]
14
[ "3+8=11", "93/31=3", "11+3=14" ]
Current State: 14:[3, 8, 93, 31], Operations: [] Exploring Operation: 3+8=11, Resulting Numbers: [93, 31, 11] Generated Node #2: [93, 31, 11] from Operation: 3+8=11 Current State: 14:[93, 31, 11], Operations: ['3+8=11'] Exploring Operation: 93/31=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 93/31=3 Current State: 14:[11, 3], Operations: ['3+8=11', '93/31=3'] Exploring Operation: 11+3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 99, 58, 54, 28 ]
67
[ "99-58=41", "54-28=26", "41+26=67" ]
Current State: 67:[99, 58, 54, 28], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [54, 28, 41] Generated Node #2: [54, 28, 41] from Operation: 99-58=41 Current State: 67:[54, 28, 41], Operations: ['99-58=41'] Exploring Operation: 54-28=26, Resulting Numbers: [41, 26] Generated Node #3: [41, 26] from Operation: 54-28=26 Current State: 67:[41, 26], Operations: ['99-58=41', '54-28=26'] Exploring Operation: 41+26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 74, 90, 88, 35 ]
63
[ "74+88=162", "35*162=5670", "5670/90=63" ]
Current State: 63:[74, 90, 88, 35], Operations: [] Exploring Operation: 74+88=162, Resulting Numbers: [90, 35, 162] Generated Node #2: [90, 35, 162] from Operation: 74+88=162 Current State: 63:[90, 35, 162], Operations: ['74+88=162'] Exploring Operation: 35*162=5670, Resulting Numbers: [90, 5670] Generated Node #3: [90, 5670] from Operation: 35*162=5670 Current State: 63:[90, 5670], Operations: ['74+88=162', '35*162=5670'] Exploring Operation: 5670/90=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 2, 13, 23 ]
57
[ "6*13=78", "23-2=21", "78-21=57" ]
Current State: 57:[6, 2, 13, 23], Operations: [] Exploring Operation: 6*13=78, Resulting Numbers: [2, 23, 78] Generated Node #2: [2, 23, 78] from Operation: 6*13=78 Current State: 57:[2, 23, 78], Operations: ['6*13=78'] Exploring Operation: 23-2=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 23-2=21 Current State: 57:[78, 21], Operations: ['6*13=78', '23-2=21'] Exploring Operation: 78-21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 98, 5, 47 ]
72
[ "27+98=125", "125/5=25", "47+25=72" ]
Current State: 72:[27, 98, 5, 47], Operations: [] Exploring Operation: 27+98=125, Resulting Numbers: [5, 47, 125] Generated Node #2: [5, 47, 125] from Operation: 27+98=125 Current State: 72:[5, 47, 125], Operations: ['27+98=125'] Exploring Operation: 125/5=25, Resulting Numbers: [47, 25] Generated Node #3: [47, 25] from Operation: 125/5=25 Current State: 72:[47, 25], Operations: ['27+98=125', '125/5=25'] Exploring Operation: 47+25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 73, 25, 97, 39 ]
38
[ "73+25=98", "97+39=136", "136-98=38" ]
Current State: 38:[73, 25, 97, 39], Operations: [] Exploring Operation: 73+25=98, Resulting Numbers: [97, 39, 98] Generated Node #2: [97, 39, 98] from Operation: 73+25=98 Current State: 38:[97, 39, 98], Operations: ['73+25=98'] Exploring Operation: 97+39=136, Resulting Numbers: [98, 136] Generated Node #3: [98, 136] from Operation: 97+39=136 Current State: 38:[98, 136], Operations: ['73+25=98', '97+39=136'] Exploring Operation: 136-98=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 13, 72, 30 ]
50
[ "79+13=92", "72-30=42", "92-42=50" ]
Current State: 50:[79, 13, 72, 30], Operations: [] Exploring Operation: 79+13=92, Resulting Numbers: [72, 30, 92] Generated Node #2: [72, 30, 92] from Operation: 79+13=92 Current State: 50:[72, 30, 92], Operations: ['79+13=92'] Exploring Operation: 72-30=42, Resulting Numbers: [92, 42] Generated Node #3: [92, 42] from Operation: 72-30=42 Current State: 50:[92, 42], Operations: ['79+13=92', '72-30=42'] Exploring Operation: 92-42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 24, 93, 18, 32 ]
19
[ "93-24=69", "18+32=50", "69-50=19" ]
Current State: 19:[24, 93, 18, 32], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [18, 32, 69] Generated Node #2: [18, 32, 69] from Operation: 93-24=69 Current State: 19:[18, 32, 69], Operations: ['93-24=69'] Exploring Operation: 18+32=50, Resulting Numbers: [69, 50] Generated Node #3: [69, 50] from Operation: 18+32=50 Current State: 19:[69, 50], Operations: ['93-24=69', '18+32=50'] Exploring Operation: 69-50=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 77, 66, 55 ]
17
[ "77+55=132", "132/66=2", "15+2=17" ]
Current State: 17:[15, 77, 66, 55], Operations: [] Exploring Operation: 77+55=132, Resulting Numbers: [15, 66, 132] Generated Node #2: [15, 66, 132] from Operation: 77+55=132 Current State: 17:[15, 66, 132], Operations: ['77+55=132'] Exploring Operation: 132/66=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 132/66=2 Current State: 17:[15, 2], Operations: ['77+55=132', '132/66=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 59, 78, 36 ]
42
[ "59-59=0", "78-36=42", "0+42=42" ]
Current State: 42:[59, 59, 78, 36], Operations: [] Exploring Operation: 59-59=0, Resulting Numbers: [78, 36, 0] Generated Node #2: [78, 36, 0] from Operation: 59-59=0 Current State: 42:[78, 36, 0], Operations: ['59-59=0'] Exploring Operation: 78-36=42, Resulting Numbers: [0, 42] Generated Node #3: [0, 42] from Operation: 78-36=42 Current State: 42:[0, 42], Operations: ['59-59=0', '78-36=42'] Exploring Operation: 0+42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 10, 91, 58 ]
80
[ "91-41=50", "58-50=8", "10*8=80" ]
Current State: 80:[41, 10, 91, 58], Operations: [] Exploring Operation: 91-41=50, Resulting Numbers: [10, 58, 50] Generated Node #2: [10, 58, 50] from Operation: 91-41=50 Current State: 80:[10, 58, 50], Operations: ['91-41=50'] Exploring Operation: 58-50=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 58-50=8 Current State: 80:[10, 8], Operations: ['91-41=50', '58-50=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 62, 33, 3 ]
87
[ "62-58=4", "33-4=29", "3*29=87" ]
Current State: 87:[58, 62, 33, 3], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [33, 3, 4] Generated Node #2: [33, 3, 4] from Operation: 62-58=4 Current State: 87:[33, 3, 4], Operations: ['62-58=4'] Exploring Operation: 33-4=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 33-4=29 Current State: 87:[3, 29], Operations: ['62-58=4', '33-4=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 13, 48, 79 ]
82
[ "87-48=39", "39/13=3", "79+3=82" ]
Current State: 82:[87, 13, 48, 79], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [13, 79, 39] Generated Node #2: [13, 79, 39] from Operation: 87-48=39 Current State: 82:[13, 79, 39], Operations: ['87-48=39'] Exploring Operation: 39/13=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 39/13=3 Current State: 82:[79, 3], Operations: ['87-48=39', '39/13=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 7, 87, 68, 60 ]
89
[ "87+60=147", "147/7=21", "68+21=89" ]
Current State: 89:[7, 87, 68, 60], Operations: [] Exploring Operation: 87+60=147, Resulting Numbers: [7, 68, 147] Generated Node #2: [7, 68, 147] from Operation: 87+60=147 Current State: 89:[7, 68, 147], Operations: ['87+60=147'] Exploring Operation: 147/7=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 147/7=21 Current State: 89:[68, 21], Operations: ['87+60=147', '147/7=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 92, 28, 75 ]
28
[ "92-18=74", "75-74=1", "28*1=28" ]
Current State: 28:[18, 92, 28, 75], Operations: [] Exploring Operation: 92-18=74, Resulting Numbers: [28, 75, 74] Generated Node #2: [28, 75, 74] from Operation: 92-18=74 Current State: 28:[28, 75, 74], Operations: ['92-18=74'] Exploring Operation: 75-74=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 75-74=1 Current State: 28:[28, 1], Operations: ['92-18=74', '75-74=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 63, 38, 17, 52 ]
94
[ "63-38=25", "17+52=69", "25+69=94" ]
Current State: 94:[63, 38, 17, 52], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [17, 52, 25] Generated Node #2: [17, 52, 25] from Operation: 63-38=25 Current State: 94:[17, 52, 25], Operations: ['63-38=25'] Exploring Operation: 17+52=69, Resulting Numbers: [25, 69] Generated Node #3: [25, 69] from Operation: 17+52=69 Current State: 94:[25, 69], Operations: ['63-38=25', '17+52=69'] Exploring Operation: 25+69=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 45, 58, 16 ]
65
[ "54-45=9", "58+16=74", "74-9=65" ]
Current State: 65:[54, 45, 58, 16], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [58, 16, 9] Generated Node #2: [58, 16, 9] from Operation: 54-45=9 Current State: 65:[58, 16, 9], Operations: ['54-45=9'] Exploring Operation: 58+16=74, Resulting Numbers: [9, 74] Generated Node #3: [9, 74] from Operation: 58+16=74 Current State: 65:[9, 74], Operations: ['54-45=9', '58+16=74'] Exploring Operation: 74-9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 86, 2, 78 ]
71
[ "23+78=101", "86*2=172", "172-101=71" ]
Current State: 71:[23, 86, 2, 78], Operations: [] Exploring Operation: 23+78=101, Resulting Numbers: [86, 2, 101] Generated Node #2: [86, 2, 101] from Operation: 23+78=101 Current State: 71:[86, 2, 101], Operations: ['23+78=101'] Exploring Operation: 86*2=172, Resulting Numbers: [101, 172] Generated Node #3: [101, 172] from Operation: 86*2=172 Current State: 71:[101, 172], Operations: ['23+78=101', '86*2=172'] Exploring Operation: 172-101=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 1, 13, 47 ]
35
[ "95*1=95", "13+47=60", "95-60=35" ]
Current State: 35:[95, 1, 13, 47], Operations: [] Exploring Operation: 95*1=95, Resulting Numbers: [13, 47, 95] Generated Node #2: [13, 47, 95] from Operation: 95*1=95 Current State: 35:[13, 47, 95], Operations: ['95*1=95'] Exploring Operation: 13+47=60, Resulting Numbers: [95, 60] Generated Node #3: [95, 60] from Operation: 13+47=60 Current State: 35:[95, 60], Operations: ['95*1=95', '13+47=60'] Exploring Operation: 95-60=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 14, 55, 69, 35 ]
75
[ "55-14=41", "69-35=34", "41+34=75" ]
Current State: 75:[14, 55, 69, 35], Operations: [] Exploring Operation: 55-14=41, Resulting Numbers: [69, 35, 41] Generated Node #2: [69, 35, 41] from Operation: 55-14=41 Current State: 75:[69, 35, 41], Operations: ['55-14=41'] Exploring Operation: 69-35=34, Resulting Numbers: [41, 34] Generated Node #3: [41, 34] from Operation: 69-35=34 Current State: 75:[41, 34], Operations: ['55-14=41', '69-35=34'] Exploring Operation: 41+34=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 57, 28, 72 ]
45
[ "28-25=3", "72-57=15", "3*15=45" ]
Current State: 45:[25, 57, 28, 72], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [57, 72, 3] Generated Node #2: [57, 72, 3] from Operation: 28-25=3 Current State: 45:[57, 72, 3], Operations: ['28-25=3'] Exploring Operation: 72-57=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 72-57=15 Current State: 45:[3, 15], Operations: ['28-25=3', '72-57=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 87, 21, 71 ]
18
[ "87-13=74", "21+71=92", "92-74=18" ]
Current State: 18:[13, 87, 21, 71], Operations: [] Exploring Operation: 87-13=74, Resulting Numbers: [21, 71, 74] Generated Node #2: [21, 71, 74] from Operation: 87-13=74 Current State: 18:[21, 71, 74], Operations: ['87-13=74'] Exploring Operation: 21+71=92, Resulting Numbers: [74, 92] Generated Node #3: [74, 92] from Operation: 21+71=92 Current State: 18:[74, 92], Operations: ['87-13=74', '21+71=92'] Exploring Operation: 92-74=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 36, 37, 25 ]
70
[ "45+25=70", "37-36=1", "70*1=70" ]
Current State: 70:[45, 36, 37, 25], Operations: [] Exploring Operation: 45+25=70, Resulting Numbers: [36, 37, 70] Generated Node #2: [36, 37, 70] from Operation: 45+25=70 Current State: 70:[36, 37, 70], Operations: ['45+25=70'] Exploring Operation: 37-36=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 37-36=1 Current State: 70:[70, 1], Operations: ['45+25=70', '37-36=1'] Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 72, 11, 39, 43 ]
52
[ "72*39=2808", "11+43=54", "2808/54=52" ]
Current State: 52:[72, 11, 39, 43], Operations: [] Exploring Operation: 72*39=2808, Resulting Numbers: [11, 43, 2808] Generated Node #2: [11, 43, 2808] from Operation: 72*39=2808 Current State: 52:[11, 43, 2808], Operations: ['72*39=2808'] Exploring Operation: 11+43=54, Resulting Numbers: [2808, 54] Generated Node #3: [2808, 54] from Operation: 11+43=54 Current State: 52:[2808, 54], Operations: ['72*39=2808', '11+43=54'] Exploring Operation: 2808/54=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 53, 14, 26 ]
65
[ "53-18=35", "26*35=910", "910/14=65" ]
Current State: 65:[18, 53, 14, 26], Operations: [] Exploring Operation: 53-18=35, Resulting Numbers: [14, 26, 35] Generated Node #2: [14, 26, 35] from Operation: 53-18=35 Current State: 65:[14, 26, 35], Operations: ['53-18=35'] Exploring Operation: 26*35=910, Resulting Numbers: [14, 910] Generated Node #3: [14, 910] from Operation: 26*35=910 Current State: 65:[14, 910], Operations: ['53-18=35', '26*35=910'] Exploring Operation: 910/14=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 5, 41, 11, 62 ]
27
[ "5+41=46", "11+62=73", "73-46=27" ]
Current State: 27:[5, 41, 11, 62], Operations: [] Exploring Operation: 5+41=46, Resulting Numbers: [11, 62, 46] Generated Node #2: [11, 62, 46] from Operation: 5+41=46 Current State: 27:[11, 62, 46], Operations: ['5+41=46'] Exploring Operation: 11+62=73, Resulting Numbers: [46, 73] Generated Node #3: [46, 73] from Operation: 11+62=73 Current State: 27:[46, 73], Operations: ['5+41=46', '11+62=73'] Exploring Operation: 73-46=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 2, 55, 41 ]
22
[ "76-2=74", "55+41=96", "96-74=22" ]
Current State: 22:[76, 2, 55, 41], Operations: [] Exploring Operation: 76-2=74, Resulting Numbers: [55, 41, 74] Generated Node #2: [55, 41, 74] from Operation: 76-2=74 Current State: 22:[55, 41, 74], Operations: ['76-2=74'] Exploring Operation: 55+41=96, Resulting Numbers: [74, 96] Generated Node #3: [74, 96] from Operation: 55+41=96 Current State: 22:[74, 96], Operations: ['76-2=74', '55+41=96'] Exploring Operation: 96-74=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 70, 82, 8 ]
11
[ "82-70=12", "12/4=3", "8+3=11" ]
Current State: 11:[4, 70, 82, 8], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [4, 8, 12] Generated Node #2: [4, 8, 12] from Operation: 82-70=12 Current State: 11:[4, 8, 12], Operations: ['82-70=12'] Exploring Operation: 12/4=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 12/4=3 Current State: 11:[8, 3], Operations: ['82-70=12', '12/4=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 73, 97, 6, 3 ]
78
[ "97-73=24", "3*24=72", "6+72=78" ]
Current State: 78:[73, 97, 6, 3], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [6, 3, 24] Generated Node #2: [6, 3, 24] from Operation: 97-73=24 Current State: 78:[6, 3, 24], Operations: ['97-73=24'] Exploring Operation: 3*24=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 3*24=72 Current State: 78:[6, 72], Operations: ['97-73=24', '3*24=72'] Exploring Operation: 6+72=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 97, 21, 53 ]
32
[ "97-96=1", "53-21=32", "1*32=32" ]
Current State: 32:[96, 97, 21, 53], Operations: [] Exploring Operation: 97-96=1, Resulting Numbers: [21, 53, 1] Generated Node #2: [21, 53, 1] from Operation: 97-96=1 Current State: 32:[21, 53, 1], Operations: ['97-96=1'] Exploring Operation: 53-21=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 53-21=32 Current State: 32:[1, 32], Operations: ['97-96=1', '53-21=32'] Exploring Operation: 1*32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 53, 72, 41 ]
46
[ "68-53=15", "72-41=31", "15+31=46" ]
Current State: 46:[68, 53, 72, 41], Operations: [] Exploring Operation: 68-53=15, Resulting Numbers: [72, 41, 15] Generated Node #2: [72, 41, 15] from Operation: 68-53=15 Current State: 46:[72, 41, 15], Operations: ['68-53=15'] Exploring Operation: 72-41=31, Resulting Numbers: [15, 31] Generated Node #3: [15, 31] from Operation: 72-41=31 Current State: 46:[15, 31], Operations: ['68-53=15', '72-41=31'] Exploring Operation: 15+31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 57, 42, 92 ]
91
[ "84+57=141", "92-42=50", "141-50=91" ]
Current State: 91:[84, 57, 42, 92], Operations: [] Exploring Operation: 84+57=141, Resulting Numbers: [42, 92, 141] Generated Node #2: [42, 92, 141] from Operation: 84+57=141 Current State: 91:[42, 92, 141], Operations: ['84+57=141'] Exploring Operation: 92-42=50, Resulting Numbers: [141, 50] Generated Node #3: [141, 50] from Operation: 92-42=50 Current State: 91:[141, 50], Operations: ['84+57=141', '92-42=50'] Exploring Operation: 141-50=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 91, 4, 66 ]
99
[ "68-66=2", "4*2=8", "91+8=99" ]
Current State: 99:[68, 91, 4, 66], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [91, 4, 2] Generated Node #2: [91, 4, 2] from Operation: 68-66=2 Current State: 99:[91, 4, 2], Operations: ['68-66=2'] Exploring Operation: 4*2=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 4*2=8 Current State: 99:[91, 8], Operations: ['68-66=2', '4*2=8'] Exploring Operation: 91+8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 23, 55, 57, 57 ]
17
[ "57-23=34", "57-55=2", "34/2=17" ]
Current State: 17:[23, 55, 57, 57], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [55, 34] Generated Node #2: [55, 34] from Operation: 57-23=34 Current State: 17:[55, 34], Operations: ['57-23=34'] Exploring Operation: 57-55=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 57-55=2 Current State: 17:[34, 2], Operations: ['57-23=34', '57-55=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 85, 59, 33, 85 ]
27
[ "85/85=1", "59-33=26", "1+26=27" ]
Current State: 27:[85, 59, 33, 85], Operations: [] Exploring Operation: 85/85=1, Resulting Numbers: [59, 33, 1] Generated Node #2: [59, 33, 1] from Operation: 85/85=1 Current State: 27:[59, 33, 1], Operations: ['85/85=1'] Exploring Operation: 59-33=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 59-33=26 Current State: 27:[1, 26], Operations: ['85/85=1', '59-33=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 19, 18, 17, 28 ]
19
[ "19-17=2", "18/2=9", "28-9=19" ]
Current State: 19:[19, 18, 17, 28], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [18, 28, 2] Generated Node #2: [18, 28, 2] from Operation: 19-17=2 Current State: 19:[18, 28, 2], Operations: ['19-17=2'] Exploring Operation: 18/2=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 18/2=9 Current State: 19:[28, 9], Operations: ['19-17=2', '18/2=9'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 73, 75, 8 ]
16
[ "8*73=584", "75*8=600", "600-584=16" ]
Current State: 16:[8, 73, 75, 8], Operations: [] Exploring Operation: 8*73=584, Resulting Numbers: [75, 584] Generated Node #2: [75, 584] from Operation: 8*73=584 Current State: 16:[75, 584], Operations: ['8*73=584'] Exploring Operation: 75*8=600, Resulting Numbers: [584, 600] Generated Node #3: [584, 600] from Operation: 75*8=600 Current State: 16:[584, 600], Operations: ['8*73=584', '75*8=600'] Exploring Operation: 600-584=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 10, 95, 78 ]
15
[ "78-70=8", "10*8=80", "95-80=15" ]
Current State: 15:[70, 10, 95, 78], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [10, 95, 8] Generated Node #2: [10, 95, 8] from Operation: 78-70=8 Current State: 15:[10, 95, 8], Operations: ['78-70=8'] Exploring Operation: 10*8=80, Resulting Numbers: [95, 80] Generated Node #3: [95, 80] from Operation: 10*8=80 Current State: 15:[95, 80], Operations: ['78-70=8', '10*8=80'] Exploring Operation: 95-80=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 91, 15, 95 ]
87
[ "95-15=80", "80/20=4", "91-4=87" ]
Current State: 87:[20, 91, 15, 95], Operations: [] Exploring Operation: 95-15=80, Resulting Numbers: [20, 91, 80] Generated Node #2: [20, 91, 80] from Operation: 95-15=80 Current State: 87:[20, 91, 80], Operations: ['95-15=80'] Exploring Operation: 80/20=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 80/20=4 Current State: 87:[91, 4], Operations: ['95-15=80', '80/20=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 46, 32, 20, 42 ]
48
[ "46-32=14", "20+42=62", "62-14=48" ]
Current State: 48:[46, 32, 20, 42], Operations: [] Exploring Operation: 46-32=14, Resulting Numbers: [20, 42, 14] Generated Node #2: [20, 42, 14] from Operation: 46-32=14 Current State: 48:[20, 42, 14], Operations: ['46-32=14'] Exploring Operation: 20+42=62, Resulting Numbers: [14, 62] Generated Node #3: [14, 62] from Operation: 20+42=62 Current State: 48:[14, 62], Operations: ['46-32=14', '20+42=62'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 80, 3, 87, 11 ]
98
[ "87-80=7", "3+11=14", "7*14=98" ]
Current State: 98:[80, 3, 87, 11], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [3, 11, 7] Generated Node #2: [3, 11, 7] from Operation: 87-80=7 Current State: 98:[3, 11, 7], Operations: ['87-80=7'] Exploring Operation: 3+11=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 3+11=14 Current State: 98:[7, 14], Operations: ['87-80=7', '3+11=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 16, 50, 14 ]
16
[ "9+16=25", "50/25=2", "14+2=16" ]
Current State: 16:[9, 16, 50, 14], Operations: [] Exploring Operation: 9+16=25, Resulting Numbers: [50, 14, 25] Generated Node #2: [50, 14, 25] from Operation: 9+16=25 Current State: 16:[50, 14, 25], Operations: ['9+16=25'] Exploring Operation: 50/25=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 50/25=2 Current State: 16:[14, 2], Operations: ['9+16=25', '50/25=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 85, 75, 76 ]
89
[ "4+85=89", "76-75=1", "89*1=89" ]
Current State: 89:[4, 85, 75, 76], Operations: [] Exploring Operation: 4+85=89, Resulting Numbers: [75, 76, 89] Generated Node #2: [75, 76, 89] from Operation: 4+85=89 Current State: 89:[75, 76, 89], Operations: ['4+85=89'] Exploring Operation: 76-75=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 76-75=1 Current State: 89:[89, 1], Operations: ['4+85=89', '76-75=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 75, 50, 84, 21 ]
62
[ "75+50=125", "84-21=63", "125-63=62" ]
Current State: 62:[75, 50, 84, 21], Operations: [] Exploring Operation: 75+50=125, Resulting Numbers: [84, 21, 125] Generated Node #2: [84, 21, 125] from Operation: 75+50=125 Current State: 62:[84, 21, 125], Operations: ['75+50=125'] Exploring Operation: 84-21=63, Resulting Numbers: [125, 63] Generated Node #3: [125, 63] from Operation: 84-21=63 Current State: 62:[125, 63], Operations: ['75+50=125', '84-21=63'] Exploring Operation: 125-63=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 87, 80, 86, 34 ]
58
[ "87*80=6960", "86+34=120", "6960/120=58" ]
Current State: 58:[87, 80, 86, 34], Operations: [] Exploring Operation: 87*80=6960, Resulting Numbers: [86, 34, 6960] Generated Node #2: [86, 34, 6960] from Operation: 87*80=6960 Current State: 58:[86, 34, 6960], Operations: ['87*80=6960'] Exploring Operation: 86+34=120, Resulting Numbers: [6960, 120] Generated Node #3: [6960, 120] from Operation: 86+34=120 Current State: 58:[6960, 120], Operations: ['87*80=6960', '86+34=120'] Exploring Operation: 6960/120=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 94, 2, 34 ]
58
[ "56+94=150", "150-34=116", "116/2=58" ]
Current State: 58:[56, 94, 2, 34], Operations: [] Exploring Operation: 56+94=150, Resulting Numbers: [2, 34, 150] Generated Node #2: [2, 34, 150] from Operation: 56+94=150 Current State: 58:[2, 34, 150], Operations: ['56+94=150'] Exploring Operation: 150-34=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 150-34=116 Current State: 58:[2, 116], Operations: ['56+94=150', '150-34=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 63, 39, 53, 41 ]
36
[ "63-39=24", "53-41=12", "24+12=36" ]
Current State: 36:[63, 39, 53, 41], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [53, 41, 24] Generated Node #2: [53, 41, 24] from Operation: 63-39=24 Current State: 36:[53, 41, 24], Operations: ['63-39=24'] Exploring Operation: 53-41=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 53-41=12 Current State: 36:[24, 12], Operations: ['63-39=24', '53-41=12'] Exploring Operation: 24+12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 38, 49, 47, 56 ]
63
[ "47-38=9", "56-49=7", "9*7=63" ]
Current State: 63:[38, 49, 47, 56], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [49, 56, 9] Generated Node #2: [49, 56, 9] from Operation: 47-38=9 Current State: 63:[49, 56, 9], Operations: ['47-38=9'] Exploring Operation: 56-49=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 56-49=7 Current State: 63:[9, 7], Operations: ['47-38=9', '56-49=7'] Exploring Operation: 9*7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 9, 28, 62 ]
59
[ "22+9=31", "28+62=90", "90-31=59" ]
Current State: 59:[22, 9, 28, 62], Operations: [] Exploring Operation: 22+9=31, Resulting Numbers: [28, 62, 31] Generated Node #2: [28, 62, 31] from Operation: 22+9=31 Current State: 59:[28, 62, 31], Operations: ['22+9=31'] Exploring Operation: 28+62=90, Resulting Numbers: [31, 90] Generated Node #3: [31, 90] from Operation: 28+62=90 Current State: 59:[31, 90], Operations: ['22+9=31', '28+62=90'] Exploring Operation: 90-31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 87, 92, 23, 37 ]
12
[ "92-87=5", "23+37=60", "60/5=12" ]
Current State: 12:[87, 92, 23, 37], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [23, 37, 5] Generated Node #2: [23, 37, 5] from Operation: 92-87=5 Current State: 12:[23, 37, 5], Operations: ['92-87=5'] Exploring Operation: 23+37=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 23+37=60 Current State: 12:[5, 60], Operations: ['92-87=5', '23+37=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 59, 52, 26 ]
28
[ "59-33=26", "52/26=2", "26+2=28" ]
Current State: 28:[33, 59, 52, 26], Operations: [] Exploring Operation: 59-33=26, Resulting Numbers: [52, 26, 26] Generated Node #2: [52, 26, 26] from Operation: 59-33=26 Current State: 28:[52, 26, 26], Operations: ['59-33=26'] Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,28 equal: Goal Reached Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 41, 60, 73, 15 ]
13
[ "41+60=101", "73+15=88", "101-88=13" ]
Current State: 13:[41, 60, 73, 15], Operations: [] Exploring Operation: 41+60=101, Resulting Numbers: [73, 15, 101] Generated Node #2: [73, 15, 101] from Operation: 41+60=101 Current State: 13:[73, 15, 101], Operations: ['41+60=101'] Exploring Operation: 73+15=88, Resulting Numbers: [101, 88] Generated Node #3: [101, 88] from Operation: 73+15=88 Current State: 13:[101, 88], Operations: ['41+60=101', '73+15=88'] Exploring Operation: 101-88=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 90, 82, 3 ]
99
[ "82-55=27", "27/3=9", "90+9=99" ]
Current State: 99:[55, 90, 82, 3], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [90, 3, 27] Generated Node #2: [90, 3, 27] from Operation: 82-55=27 Current State: 99:[90, 3, 27], Operations: ['82-55=27'] Exploring Operation: 27/3=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 27/3=9 Current State: 99:[90, 9], Operations: ['82-55=27', '27/3=9'] Exploring Operation: 90+9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 60, 65, 20, 90 ]
62
[ "65-20=45", "90/45=2", "60+2=62" ]
Current State: 62:[60, 65, 20, 90], Operations: [] Exploring Operation: 65-20=45, Resulting Numbers: [60, 90, 45] Generated Node #2: [60, 90, 45] from Operation: 65-20=45 Current State: 62:[60, 90, 45], Operations: ['65-20=45'] Exploring Operation: 90/45=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 90/45=2 Current State: 62:[60, 2], Operations: ['65-20=45', '90/45=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 75, 21, 23 ]
65
[ "7*23=161", "75+21=96", "161-96=65" ]
Current State: 65:[7, 75, 21, 23], Operations: [] Exploring Operation: 7*23=161, Resulting Numbers: [75, 21, 161] Generated Node #2: [75, 21, 161] from Operation: 7*23=161 Current State: 65:[75, 21, 161], Operations: ['7*23=161'] Exploring Operation: 75+21=96, Resulting Numbers: [161, 96] Generated Node #3: [161, 96] from Operation: 75+21=96 Current State: 65:[161, 96], Operations: ['7*23=161', '75+21=96'] Exploring Operation: 161-96=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 4, 6, 22 ]
37
[ "22-4=18", "18/6=3", "40-3=37" ]
Current State: 37:[40, 4, 6, 22], Operations: [] Exploring Operation: 22-4=18, Resulting Numbers: [40, 6, 18] Generated Node #2: [40, 6, 18] from Operation: 22-4=18 Current State: 37:[40, 6, 18], Operations: ['22-4=18'] Exploring Operation: 18/6=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 18/6=3 Current State: 37:[40, 3], Operations: ['22-4=18', '18/6=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 72, 58, 87 ]
19
[ "72-62=10", "87-58=29", "29-10=19" ]
Current State: 19:[62, 72, 58, 87], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [58, 87, 10] Generated Node #2: [58, 87, 10] from Operation: 72-62=10 Current State: 19:[58, 87, 10], Operations: ['72-62=10'] Exploring Operation: 87-58=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 87-58=29 Current State: 19:[10, 29], Operations: ['72-62=10', '87-58=29'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 27, 8, 37, 5 ]
31
[ "27*8=216", "37*5=185", "216-185=31" ]
Current State: 31:[27, 8, 37, 5], Operations: [] Exploring Operation: 27*8=216, Resulting Numbers: [37, 5, 216] Generated Node #2: [37, 5, 216] from Operation: 27*8=216 Current State: 31:[37, 5, 216], Operations: ['27*8=216'] Exploring Operation: 37*5=185, Resulting Numbers: [216, 185] Generated Node #3: [216, 185] from Operation: 37*5=185 Current State: 31:[216, 185], Operations: ['27*8=216', '37*5=185'] Exploring Operation: 216-185=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 72, 8, 73 ]
49
[ "12*8=96", "72+73=145", "145-96=49" ]
Current State: 49:[12, 72, 8, 73], Operations: [] Exploring Operation: 12*8=96, Resulting Numbers: [72, 73, 96] Generated Node #2: [72, 73, 96] from Operation: 12*8=96 Current State: 49:[72, 73, 96], Operations: ['12*8=96'] Exploring Operation: 72+73=145, Resulting Numbers: [96, 145] Generated Node #3: [96, 145] from Operation: 72+73=145 Current State: 49:[96, 145], Operations: ['12*8=96', '72+73=145'] Exploring Operation: 145-96=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 77, 89, 18 ]
15
[ "89-77=12", "18-12=6", "90/6=15" ]
Current State: 15:[90, 77, 89, 18], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [90, 18, 12] Generated Node #2: [90, 18, 12] from Operation: 89-77=12 Current State: 15:[90, 18, 12], Operations: ['89-77=12'] Exploring Operation: 18-12=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 18-12=6 Current State: 15:[90, 6], Operations: ['89-77=12', '18-12=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 37, 23, 97, 89 ]
68
[ "37+23=60", "97-89=8", "60+8=68" ]
Current State: 68:[37, 23, 97, 89], Operations: [] Exploring Operation: 37+23=60, Resulting Numbers: [97, 89, 60] Generated Node #2: [97, 89, 60] from Operation: 37+23=60 Current State: 68:[97, 89, 60], Operations: ['37+23=60'] Exploring Operation: 97-89=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 97-89=8 Current State: 68:[60, 8], Operations: ['37+23=60', '97-89=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 73, 41, 12 ]
26
[ "73-70=3", "41-12=29", "29-3=26" ]
Current State: 26:[70, 73, 41, 12], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [41, 12, 3] Generated Node #2: [41, 12, 3] from Operation: 73-70=3 Current State: 26:[41, 12, 3], Operations: ['73-70=3'] Exploring Operation: 41-12=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 41-12=29 Current State: 26:[3, 29], Operations: ['73-70=3', '41-12=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 32, 19, 48, 16 ]
55
[ "19*48=912", "912-32=880", "880/16=55" ]
Current State: 55:[32, 19, 48, 16], Operations: [] Exploring Operation: 19*48=912, Resulting Numbers: [32, 16, 912] Generated Node #2: [32, 16, 912] from Operation: 19*48=912 Current State: 55:[32, 16, 912], Operations: ['19*48=912'] Exploring Operation: 912-32=880, Resulting Numbers: [16, 880] Generated Node #3: [16, 880] from Operation: 912-32=880 Current State: 55:[16, 880], Operations: ['19*48=912', '912-32=880'] Exploring Operation: 880/16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 25, 61, 27 ]
14
[ "27/9=3", "25*3=75", "75-61=14" ]
Current State: 14:[9, 25, 61, 27], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [25, 61, 3] Generated Node #2: [25, 61, 3] from Operation: 27/9=3 Current State: 14:[25, 61, 3], Operations: ['27/9=3'] Exploring Operation: 25*3=75, Resulting Numbers: [61, 75] Generated Node #3: [61, 75] from Operation: 25*3=75 Current State: 14:[61, 75], Operations: ['27/9=3', '25*3=75'] Exploring Operation: 75-61=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 45, 30, 93 ]
87
[ "93-35=58", "45*58=2610", "2610/30=87" ]
Current State: 87:[35, 45, 30, 93], Operations: [] Exploring Operation: 93-35=58, Resulting Numbers: [45, 30, 58] Generated Node #2: [45, 30, 58] from Operation: 93-35=58 Current State: 87:[45, 30, 58], Operations: ['93-35=58'] Exploring Operation: 45*58=2610, Resulting Numbers: [30, 2610] Generated Node #3: [30, 2610] from Operation: 45*58=2610 Current State: 87:[30, 2610], Operations: ['93-35=58', '45*58=2610'] Exploring Operation: 2610/30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 10, 32, 68 ]
83
[ "48*10=480", "480/32=15", "68+15=83" ]
Current State: 83:[48, 10, 32, 68], Operations: [] Exploring Operation: 48*10=480, Resulting Numbers: [32, 68, 480] Generated Node #2: [32, 68, 480] from Operation: 48*10=480 Current State: 83:[32, 68, 480], Operations: ['48*10=480'] Exploring Operation: 480/32=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 480/32=15 Current State: 83:[68, 15], Operations: ['48*10=480', '480/32=15'] Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 64, 5, 11, 16 ]
75
[ "64/16=4", "11+4=15", "5*15=75" ]
Current State: 75:[64, 5, 11, 16], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [5, 11, 4] Generated Node #2: [5, 11, 4] from Operation: 64/16=4 Current State: 75:[5, 11, 4], Operations: ['64/16=4'] Exploring Operation: 11+4=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 11+4=15 Current State: 75:[5, 15], Operations: ['64/16=4', '11+4=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 56, 17, 65 ]
11
[ "17-6=11", "56+65=121", "121/11=11" ]
Current State: 11:[6, 56, 17, 65], Operations: [] Exploring Operation: 17-6=11, Resulting Numbers: [56, 65, 11] Generated Node #2: [56, 65, 11] from Operation: 17-6=11 Current State: 11:[56, 65, 11], Operations: ['17-6=11'] Exploring Operation: 56+65=121, Resulting Numbers: [11, 121] Generated Node #3: [11, 121] from Operation: 56+65=121 Current State: 11:[11, 121], Operations: ['17-6=11', '56+65=121'] Exploring Operation: 121/11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 86, 68, 77, 26 ]
28
[ "86+68=154", "154/77=2", "26+2=28" ]
Current State: 28:[86, 68, 77, 26], Operations: [] Exploring Operation: 86+68=154, Resulting Numbers: [77, 26, 154] Generated Node #2: [77, 26, 154] from Operation: 86+68=154 Current State: 28:[77, 26, 154], Operations: ['86+68=154'] Exploring Operation: 154/77=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 154/77=2 Current State: 28:[26, 2], Operations: ['86+68=154', '154/77=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 71, 10, 80 ]
80
[ "80-71=9", "10-9=1", "80*1=80" ]
Current State: 80:[80, 71, 10, 80], Operations: [] Exploring Operation: 80-71=9, Resulting Numbers: [10, 9] Generated Node #2: [10, 9] from Operation: 80-71=9 Current State: 80:[10, 9], Operations: ['80-71=9'] Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,80 equal: Goal Reached Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 80, 6, 38, 48 ]
55
[ "80-38=42", "42/6=7", "48+7=55" ]
Current State: 55:[80, 6, 38, 48], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [6, 48, 42] Generated Node #2: [6, 48, 42] from Operation: 80-38=42 Current State: 55:[6, 48, 42], Operations: ['80-38=42'] Exploring Operation: 42/6=7, Resulting Numbers: [48, 7] Generated Node #3: [48, 7] from Operation: 42/6=7 Current State: 55:[48, 7], Operations: ['80-38=42', '42/6=7'] Exploring Operation: 48+7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 15, 69, 66, 53 ]
97
[ "15+69=84", "66-53=13", "84+13=97" ]
Current State: 97:[15, 69, 66, 53], Operations: [] Exploring Operation: 15+69=84, Resulting Numbers: [66, 53, 84] Generated Node #2: [66, 53, 84] from Operation: 15+69=84 Current State: 97:[66, 53, 84], Operations: ['15+69=84'] Exploring Operation: 66-53=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 66-53=13 Current State: 97:[84, 13], Operations: ['15+69=84', '66-53=13'] Exploring Operation: 84+13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 31, 39, 22, 73 ]
19
[ "31+39=70", "73-22=51", "70-51=19" ]
Current State: 19:[31, 39, 22, 73], Operations: [] Exploring Operation: 31+39=70, Resulting Numbers: [22, 73, 70] Generated Node #2: [22, 73, 70] from Operation: 31+39=70 Current State: 19:[22, 73, 70], Operations: ['31+39=70'] Exploring Operation: 73-22=51, Resulting Numbers: [70, 51] Generated Node #3: [70, 51] from Operation: 73-22=51 Current State: 19:[70, 51], Operations: ['31+39=70', '73-22=51'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 3, 79, 86 ]
12
[ "87-3=84", "86-79=7", "84/7=12" ]
Current State: 12:[87, 3, 79, 86], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [79, 86, 84] Generated Node #2: [79, 86, 84] from Operation: 87-3=84 Current State: 12:[79, 86, 84], Operations: ['87-3=84'] Exploring Operation: 86-79=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 86-79=7 Current State: 12:[84, 7], Operations: ['87-3=84', '86-79=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 80, 93, 87, 73 ]
83
[ "93-73=20", "80/20=4", "87-4=83" ]
Current State: 83:[80, 93, 87, 73], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [80, 87, 20] Generated Node #2: [80, 87, 20] from Operation: 93-73=20 Current State: 83:[80, 87, 20], Operations: ['93-73=20'] Exploring Operation: 80/20=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 80/20=4 Current State: 83:[87, 4], Operations: ['93-73=20', '80/20=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 30, 46, 10, 42 ]
16
[ "46-30=16", "42-10=32", "32-16=16" ]
Current State: 16:[30, 46, 10, 42], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [10, 42, 16] Generated Node #2: [10, 42, 16] from Operation: 46-30=16 Current State: 16:[10, 42, 16], Operations: ['46-30=16'] Exploring Operation: 42-10=32, Resulting Numbers: [16, 32] Generated Node #3: [16, 32] from Operation: 42-10=32 Current State: 16:[16, 32], Operations: ['46-30=16', '42-10=32'] Exploring Operation: 32-16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 16, 70, 66 ]
40
[ "16+70=86", "86-66=20", "2*20=40" ]
Current State: 40:[2, 16, 70, 66], Operations: [] Exploring Operation: 16+70=86, Resulting Numbers: [2, 66, 86] Generated Node #2: [2, 66, 86] from Operation: 16+70=86 Current State: 40:[2, 66, 86], Operations: ['16+70=86'] Exploring Operation: 86-66=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 86-66=20 Current State: 40:[2, 20], Operations: ['16+70=86', '86-66=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 32, 51, 22 ]
70
[ "96/32=3", "51+22=73", "73-3=70" ]
Current State: 70:[96, 32, 51, 22], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [51, 22, 3] Generated Node #2: [51, 22, 3] from Operation: 96/32=3 Current State: 70:[51, 22, 3], Operations: ['96/32=3'] Exploring Operation: 51+22=73, Resulting Numbers: [3, 73] Generated Node #3: [3, 73] from Operation: 51+22=73 Current State: 70:[3, 73], Operations: ['96/32=3', '51+22=73'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 61, 32, 40 ]
51
[ "61-40=21", "32+40=72", "72-21=51" ]
Current State: 51:[40, 61, 32, 40], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [32, 21] Generated Node #2: [32, 21] from Operation: 61-40=21 Current State: 51:[32, 21], Operations: ['61-40=21'] Exploring Operation: 32+40=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 32+40=72 Current State: 51:[21, 72], Operations: ['61-40=21', '32+40=72'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 85, 56, 36, 17 ]
88
[ "85+56=141", "36+17=53", "141-53=88" ]
Current State: 88:[85, 56, 36, 17], Operations: [] Exploring Operation: 85+56=141, Resulting Numbers: [36, 17, 141] Generated Node #2: [36, 17, 141] from Operation: 85+56=141 Current State: 88:[36, 17, 141], Operations: ['85+56=141'] Exploring Operation: 36+17=53, Resulting Numbers: [141, 53] Generated Node #3: [141, 53] from Operation: 36+17=53 Current State: 88:[141, 53], Operations: ['85+56=141', '36+17=53'] Exploring Operation: 141-53=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 81, 86, 12 ]
85
[ "81-68=13", "86+12=98", "98-13=85" ]
Current State: 85:[68, 81, 86, 12], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [86, 12, 13] Generated Node #2: [86, 12, 13] from Operation: 81-68=13 Current State: 85:[86, 12, 13], Operations: ['81-68=13'] Exploring Operation: 86+12=98, Resulting Numbers: [13, 98] Generated Node #3: [13, 98] from Operation: 86+12=98 Current State: 85:[13, 98], Operations: ['81-68=13', '86+12=98'] Exploring Operation: 98-13=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 64, 50, 94 ]
95
[ "64-13=51", "94-50=44", "51+44=95" ]
Current State: 95:[13, 64, 50, 94], Operations: [] Exploring Operation: 64-13=51, Resulting Numbers: [50, 94, 51] Generated Node #2: [50, 94, 51] from Operation: 64-13=51 Current State: 95:[50, 94, 51], Operations: ['64-13=51'] Exploring Operation: 94-50=44, Resulting Numbers: [51, 44] Generated Node #3: [51, 44] from Operation: 94-50=44 Current State: 95:[51, 44], Operations: ['64-13=51', '94-50=44'] Exploring Operation: 51+44=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 52, 28, 8, 5 ]
13
[ "52*5=260", "28-8=20", "260/20=13" ]
Current State: 13:[52, 28, 8, 5], Operations: [] Exploring Operation: 52*5=260, Resulting Numbers: [28, 8, 260] Generated Node #2: [28, 8, 260] from Operation: 52*5=260 Current State: 13:[28, 8, 260], Operations: ['52*5=260'] Exploring Operation: 28-8=20, Resulting Numbers: [260, 20] Generated Node #3: [260, 20] from Operation: 28-8=20 Current State: 13:[260, 20], Operations: ['52*5=260', '28-8=20'] Exploring Operation: 260/20=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 90, 25, 35, 41 ]
85
[ "90*35=3150", "3150/25=126", "126-41=85" ]
Current State: 85:[90, 25, 35, 41], Operations: [] Exploring Operation: 90*35=3150, Resulting Numbers: [25, 41, 3150] Generated Node #2: [25, 41, 3150] from Operation: 90*35=3150 Current State: 85:[25, 41, 3150], Operations: ['90*35=3150'] Exploring Operation: 3150/25=126, Resulting Numbers: [41, 126] Generated Node #3: [41, 126] from Operation: 3150/25=126 Current State: 85:[41, 126], Operations: ['90*35=3150', '3150/25=126'] Exploring Operation: 126-41=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 3, 30, 8 ]
89
[ "37*3=111", "30-8=22", "111-22=89" ]
Current State: 89:[37, 3, 30, 8], Operations: [] Exploring Operation: 37*3=111, Resulting Numbers: [30, 8, 111] Generated Node #2: [30, 8, 111] from Operation: 37*3=111 Current State: 89:[30, 8, 111], Operations: ['37*3=111'] Exploring Operation: 30-8=22, Resulting Numbers: [111, 22] Generated Node #3: [111, 22] from Operation: 30-8=22 Current State: 89:[111, 22], Operations: ['37*3=111', '30-8=22'] Exploring Operation: 111-22=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 55, 46, 20, 93 ]
28
[ "55+46=101", "93-20=73", "101-73=28" ]
Current State: 28:[55, 46, 20, 93], Operations: [] Exploring Operation: 55+46=101, Resulting Numbers: [20, 93, 101] Generated Node #2: [20, 93, 101] from Operation: 55+46=101 Current State: 28:[20, 93, 101], Operations: ['55+46=101'] Exploring Operation: 93-20=73, Resulting Numbers: [101, 73] Generated Node #3: [101, 73] from Operation: 93-20=73 Current State: 28:[101, 73], Operations: ['55+46=101', '93-20=73'] Exploring Operation: 101-73=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 18, 75, 97, 9 ]
24
[ "18/9=2", "97-75=22", "2+22=24" ]
Current State: 24:[18, 75, 97, 9], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [75, 97, 2] Generated Node #2: [75, 97, 2] from Operation: 18/9=2 Current State: 24:[75, 97, 2], Operations: ['18/9=2'] Exploring Operation: 97-75=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 97-75=22 Current State: 24:[2, 22], Operations: ['18/9=2', '97-75=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 12, 51, 16 ]
33
[ "16-12=4", "72/4=18", "51-18=33" ]
Current State: 33:[72, 12, 51, 16], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [72, 51, 4] Generated Node #2: [72, 51, 4] from Operation: 16-12=4 Current State: 33:[72, 51, 4], Operations: ['16-12=4'] Exploring Operation: 72/4=18, Resulting Numbers: [51, 18] Generated Node #3: [51, 18] from Operation: 72/4=18 Current State: 33:[51, 18], Operations: ['16-12=4', '72/4=18'] Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 62, 95, 86, 6 ]
59
[ "95-62=33", "86+6=92", "92-33=59" ]
Current State: 59:[62, 95, 86, 6], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [86, 6, 33] Generated Node #2: [86, 6, 33] from Operation: 95-62=33 Current State: 59:[86, 6, 33], Operations: ['95-62=33'] Exploring Operation: 86+6=92, Resulting Numbers: [33, 92] Generated Node #3: [33, 92] from Operation: 86+6=92 Current State: 59:[33, 92], Operations: ['95-62=33', '86+6=92'] Exploring Operation: 92-33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 43, 26, 62 ]
10
[ "55+43=98", "26+62=88", "98-88=10" ]
Current State: 10:[55, 43, 26, 62], Operations: [] Exploring Operation: 55+43=98, Resulting Numbers: [26, 62, 98] Generated Node #2: [26, 62, 98] from Operation: 55+43=98 Current State: 10:[26, 62, 98], Operations: ['55+43=98'] Exploring Operation: 26+62=88, Resulting Numbers: [98, 88] Generated Node #3: [98, 88] from Operation: 26+62=88 Current State: 10:[98, 88], Operations: ['55+43=98', '26+62=88'] Exploring Operation: 98-88=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 6, 54, 73, 25 ]
96
[ "54-6=48", "73-25=48", "48+48=96" ]
Current State: 96:[6, 54, 73, 25], Operations: [] Exploring Operation: 54-6=48, Resulting Numbers: [73, 25, 48] Generated Node #2: [73, 25, 48] from Operation: 54-6=48 Current State: 96:[73, 25, 48], Operations: ['54-6=48'] Exploring Operation: 73-25=48, Resulting Numbers: [48, 48] Generated Node #3: [48, 48] from Operation: 73-25=48 Current State: 96:[48, 48], Operations: ['54-6=48', '73-25=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 1, 32, 23 ]
88
[ "36-32=4", "23-1=22", "4*22=88" ]
Current State: 88:[36, 1, 32, 23], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [1, 23, 4] Generated Node #2: [1, 23, 4] from Operation: 36-32=4 Current State: 88:[1, 23, 4], Operations: ['36-32=4'] Exploring Operation: 23-1=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 23-1=22 Current State: 88:[4, 22], Operations: ['36-32=4', '23-1=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 43, 17, 20, 14 ]
86
[ "20+14=34", "43*34=1462", "1462/17=86" ]
Current State: 86:[43, 17, 20, 14], Operations: [] Exploring Operation: 20+14=34, Resulting Numbers: [43, 17, 34] Generated Node #2: [43, 17, 34] from Operation: 20+14=34 Current State: 86:[43, 17, 34], Operations: ['20+14=34'] Exploring Operation: 43*34=1462, Resulting Numbers: [17, 1462] Generated Node #3: [17, 1462] from Operation: 43*34=1462 Current State: 86:[17, 1462], Operations: ['20+14=34', '43*34=1462'] Exploring Operation: 1462/17=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 66, 14, 16, 83 ]
13
[ "66+14=80", "83-16=67", "80-67=13" ]
Current State: 13:[66, 14, 16, 83], Operations: [] Exploring Operation: 66+14=80, Resulting Numbers: [16, 83, 80] Generated Node #2: [16, 83, 80] from Operation: 66+14=80 Current State: 13:[16, 83, 80], Operations: ['66+14=80'] Exploring Operation: 83-16=67, Resulting Numbers: [80, 67] Generated Node #3: [80, 67] from Operation: 83-16=67 Current State: 13:[80, 67], Operations: ['66+14=80', '83-16=67'] Exploring Operation: 80-67=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 57, 8, 41, 77 ]
69
[ "57-8=49", "41+77=118", "118-49=69" ]
Current State: 69:[57, 8, 41, 77], Operations: [] Exploring Operation: 57-8=49, Resulting Numbers: [41, 77, 49] Generated Node #2: [41, 77, 49] from Operation: 57-8=49 Current State: 69:[41, 77, 49], Operations: ['57-8=49'] Exploring Operation: 41+77=118, Resulting Numbers: [49, 118] Generated Node #3: [49, 118] from Operation: 41+77=118 Current State: 69:[49, 118], Operations: ['57-8=49', '41+77=118'] Exploring Operation: 118-49=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 67, 74, 50, 49 ]
69
[ "74-49=25", "50/25=2", "67+2=69" ]
Current State: 69:[67, 74, 50, 49], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [67, 50, 25] Generated Node #2: [67, 50, 25] from Operation: 74-49=25 Current State: 69:[67, 50, 25], Operations: ['74-49=25'] Exploring Operation: 50/25=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 50/25=2 Current State: 69:[67, 2], Operations: ['74-49=25', '50/25=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4