nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 37, 91, 38, 43 ]
94
[ "43-38=5", "37*5=185", "185-91=94" ]
Current State: 94:[37, 91, 38, 43], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [37, 91, 5] Generated Node #2: [37, 91, 5] from Operation: 43-38=5 Current State: 94:[37, 91, 5], Operations: ['43-38=5'] Exploring Operation: 37*5=185, Resulting Numbers: [91, 185] Generated Node #3: [91, 185] from Operation: 37*5=185 Current State: 94:[91, 185], Operations: ['43-38=5', '37*5=185'] Exploring Operation: 185-91=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 11, 52, 76, 76 ]
95
[ "76-11=65", "76*65=4940", "4940/52=95" ]
Current State: 95:[11, 52, 76, 76], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [52, 65] Generated Node #2: [52, 65] from Operation: 76-11=65 Current State: 95:[52, 65], Operations: ['76-11=65'] Exploring Operation: 76*65=4940, Resulting Numbers: [52, 4940] Generated Node #3: [52, 4940] from Operation: 76*65=4940 Current State: 95:[52, 4940], Operations: ['76-11=65', '76*65=4940'] Exploring Operation: 4940/52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 20, 26, 43, 58 ]
42
[ "20*58=1160", "26*43=1118", "1160-1118=42" ]
Current State: 42:[20, 26, 43, 58], Operations: [] Exploring Operation: 20*58=1160, Resulting Numbers: [26, 43, 1160] Generated Node #2: [26, 43, 1160] from Operation: 20*58=1160 Current State: 42:[26, 43, 1160], Operations: ['20*58=1160'] Exploring Operation: 26*43=1118, Resulting Numbers: [1160, 1118] Generated Node #3: [1160, 1118] from Operation: 26*43=1118 Current State: 42:[1160, 1118], Operations: ['20*58=1160', '26*43=1118'] Exploring Operation: 1160-1118=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 21, 40, 55, 3 ]
88
[ "21/3=7", "40+55=95", "95-7=88" ]
Current State: 88:[21, 40, 55, 3], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [40, 55, 7] Generated Node #2: [40, 55, 7] from Operation: 21/3=7 Current State: 88:[40, 55, 7], Operations: ['21/3=7'] Exploring Operation: 40+55=95, Resulting Numbers: [7, 95] Generated Node #3: [7, 95] from Operation: 40+55=95 Current State: 88:[7, 95], Operations: ['21/3=7', '40+55=95'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 95, 16, 97, 3 ]
92
[ "16+3=19", "95/19=5", "97-5=92" ]
Current State: 92:[95, 16, 97, 3], Operations: [] Exploring Operation: 16+3=19, Resulting Numbers: [95, 97, 19] Generated Node #2: [95, 97, 19] from Operation: 16+3=19 Current State: 92:[95, 97, 19], Operations: ['16+3=19'] Exploring Operation: 95/19=5, Resulting Numbers: [97, 5] Generated Node #3: [97, 5] from Operation: 95/19=5 Current State: 92:[97, 5], Operations: ['16+3=19', '95/19=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 17, 22, 72 ]
59
[ "52-17=35", "22+72=94", "94-35=59" ]
Current State: 59:[52, 17, 22, 72], Operations: [] Exploring Operation: 52-17=35, Resulting Numbers: [22, 72, 35] Generated Node #2: [22, 72, 35] from Operation: 52-17=35 Current State: 59:[22, 72, 35], Operations: ['52-17=35'] Exploring Operation: 22+72=94, Resulting Numbers: [35, 94] Generated Node #3: [35, 94] from Operation: 22+72=94 Current State: 59:[35, 94], Operations: ['52-17=35', '22+72=94'] Exploring Operation: 94-35=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 85, 23, 14, 32 ]
41
[ "32-23=9", "14*9=126", "126-85=41" ]
Current State: 41:[85, 23, 14, 32], Operations: [] Exploring Operation: 32-23=9, Resulting Numbers: [85, 14, 9] Generated Node #2: [85, 14, 9] from Operation: 32-23=9 Current State: 41:[85, 14, 9], Operations: ['32-23=9'] Exploring Operation: 14*9=126, Resulting Numbers: [85, 126] Generated Node #3: [85, 126] from Operation: 14*9=126 Current State: 41:[85, 126], Operations: ['32-23=9', '14*9=126'] Exploring Operation: 126-85=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 63, 4, 84 ]
84
[ "84+84=168", "63*4=252", "252-168=84" ]
Current State: 84:[84, 63, 4, 84], Operations: [] Exploring Operation: 84+84=168, Resulting Numbers: [63, 4, 168] Generated Node #2: [63, 4, 168] from Operation: 84+84=168 Current State: 84:[63, 4, 168], Operations: ['84+84=168'] Exploring Operation: 63*4=252, Resulting Numbers: [168, 252] Generated Node #3: [168, 252] from Operation: 63*4=252 Current State: 84:[168, 252], Operations: ['84+84=168', '63*4=252'] Exploring Operation: 252-168=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 12, 90, 17 ]
11
[ "50+12=62", "90-17=73", "73-62=11" ]
Current State: 11:[50, 12, 90, 17], Operations: [] Exploring Operation: 50+12=62, Resulting Numbers: [90, 17, 62] Generated Node #2: [90, 17, 62] from Operation: 50+12=62 Current State: 11:[90, 17, 62], Operations: ['50+12=62'] Exploring Operation: 90-17=73, Resulting Numbers: [62, 73] Generated Node #3: [62, 73] from Operation: 90-17=73 Current State: 11:[62, 73], Operations: ['50+12=62', '90-17=73'] Exploring Operation: 73-62=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 23, 48, 74 ]
17
[ "32-23=9", "74-48=26", "26-9=17" ]
Current State: 17:[32, 23, 48, 74], Operations: [] Exploring Operation: 32-23=9, Resulting Numbers: [48, 74, 9] Generated Node #2: [48, 74, 9] from Operation: 32-23=9 Current State: 17:[48, 74, 9], Operations: ['32-23=9'] Exploring Operation: 74-48=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 74-48=26 Current State: 17:[9, 26], Operations: ['32-23=9', '74-48=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 40, 27, 65, 79 ]
74
[ "40-27=13", "65/13=5", "79-5=74" ]
Current State: 74:[40, 27, 65, 79], Operations: [] Exploring Operation: 40-27=13, Resulting Numbers: [65, 79, 13] Generated Node #2: [65, 79, 13] from Operation: 40-27=13 Current State: 74:[65, 79, 13], Operations: ['40-27=13'] Exploring Operation: 65/13=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 65/13=5 Current State: 74:[79, 5], Operations: ['40-27=13', '65/13=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 64, 47, 44 ]
19
[ "64-7=57", "47-44=3", "57/3=19" ]
Current State: 19:[7, 64, 47, 44], Operations: [] Exploring Operation: 64-7=57, Resulting Numbers: [47, 44, 57] Generated Node #2: [47, 44, 57] from Operation: 64-7=57 Current State: 19:[47, 44, 57], Operations: ['64-7=57'] Exploring Operation: 47-44=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 47-44=3 Current State: 19:[57, 3], Operations: ['64-7=57', '47-44=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 5, 58, 75, 89 ]
46
[ "75/5=15", "89-58=31", "15+31=46" ]
Current State: 46:[5, 58, 75, 89], Operations: [] Exploring Operation: 75/5=15, Resulting Numbers: [58, 89, 15] Generated Node #2: [58, 89, 15] from Operation: 75/5=15 Current State: 46:[58, 89, 15], Operations: ['75/5=15'] Exploring Operation: 89-58=31, Resulting Numbers: [15, 31] Generated Node #3: [15, 31] from Operation: 89-58=31 Current State: 46:[15, 31], Operations: ['75/5=15', '89-58=31'] Exploring Operation: 15+31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 23, 24, 54 ]
35
[ "23+54=77", "77/7=11", "24+11=35" ]
Current State: 35:[7, 23, 24, 54], Operations: [] Exploring Operation: 23+54=77, Resulting Numbers: [7, 24, 77] Generated Node #2: [7, 24, 77] from Operation: 23+54=77 Current State: 35:[7, 24, 77], Operations: ['23+54=77'] Exploring Operation: 77/7=11, Resulting Numbers: [24, 11] Generated Node #3: [24, 11] from Operation: 77/7=11 Current State: 35:[24, 11], Operations: ['23+54=77', '77/7=11'] Exploring Operation: 24+11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 3, 64, 1, 91 ]
78
[ "64+1=65", "91-65=26", "3*26=78" ]
Current State: 78:[3, 64, 1, 91], Operations: [] Exploring Operation: 64+1=65, Resulting Numbers: [3, 91, 65] Generated Node #2: [3, 91, 65] from Operation: 64+1=65 Current State: 78:[3, 91, 65], Operations: ['64+1=65'] Exploring Operation: 91-65=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 91-65=26 Current State: 78:[3, 26], Operations: ['64+1=65', '91-65=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 26, 60, 4 ]
27
[ "26+4=30", "60/30=2", "29-2=27" ]
Current State: 27:[29, 26, 60, 4], Operations: [] Exploring Operation: 26+4=30, Resulting Numbers: [29, 60, 30] Generated Node #2: [29, 60, 30] from Operation: 26+4=30 Current State: 27:[29, 60, 30], Operations: ['26+4=30'] Exploring Operation: 60/30=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 60/30=2 Current State: 27:[29, 2], Operations: ['26+4=30', '60/30=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 11, 88, 78 ]
74
[ "76+78=154", "154/11=14", "88-14=74" ]
Current State: 74:[76, 11, 88, 78], Operations: [] Exploring Operation: 76+78=154, Resulting Numbers: [11, 88, 154] Generated Node #2: [11, 88, 154] from Operation: 76+78=154 Current State: 74:[11, 88, 154], Operations: ['76+78=154'] Exploring Operation: 154/11=14, Resulting Numbers: [88, 14] Generated Node #3: [88, 14] from Operation: 154/11=14 Current State: 74:[88, 14], Operations: ['76+78=154', '154/11=14'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 66, 95, 5, 14 ]
75
[ "95-66=29", "29-14=15", "5*15=75" ]
Current State: 75:[66, 95, 5, 14], Operations: [] Exploring Operation: 95-66=29, Resulting Numbers: [5, 14, 29] Generated Node #2: [5, 14, 29] from Operation: 95-66=29 Current State: 75:[5, 14, 29], Operations: ['95-66=29'] Exploring Operation: 29-14=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 29-14=15 Current State: 75:[5, 15], Operations: ['95-66=29', '29-14=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 6, 24, 22, 17 ]
64
[ "24-17=7", "6*7=42", "22+42=64" ]
Current State: 64:[6, 24, 22, 17], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [6, 22, 7] Generated Node #2: [6, 22, 7] from Operation: 24-17=7 Current State: 64:[6, 22, 7], Operations: ['24-17=7'] Exploring Operation: 6*7=42, Resulting Numbers: [22, 42] Generated Node #3: [22, 42] from Operation: 6*7=42 Current State: 64:[22, 42], Operations: ['24-17=7', '6*7=42'] Exploring Operation: 22+42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 35, 53, 24, 78 ]
36
[ "53-35=18", "78-24=54", "54-18=36" ]
Current State: 36:[35, 53, 24, 78], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [24, 78, 18] Generated Node #2: [24, 78, 18] from Operation: 53-35=18 Current State: 36:[24, 78, 18], Operations: ['53-35=18'] Exploring Operation: 78-24=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 78-24=54 Current State: 36:[18, 54], Operations: ['53-35=18', '78-24=54'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 67, 16, 49, 44 ]
13
[ "16*44=704", "704-67=637", "637/49=13" ]
Current State: 13:[67, 16, 49, 44], Operations: [] Exploring Operation: 16*44=704, Resulting Numbers: [67, 49, 704] Generated Node #2: [67, 49, 704] from Operation: 16*44=704 Current State: 13:[67, 49, 704], Operations: ['16*44=704'] Exploring Operation: 704-67=637, Resulting Numbers: [49, 637] Generated Node #3: [49, 637] from Operation: 704-67=637 Current State: 13:[49, 637], Operations: ['16*44=704', '704-67=637'] Exploring Operation: 637/49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 50, 83, 2 ]
82
[ "24+83=107", "50/2=25", "107-25=82" ]
Current State: 82:[24, 50, 83, 2], Operations: [] Exploring Operation: 24+83=107, Resulting Numbers: [50, 2, 107] Generated Node #2: [50, 2, 107] from Operation: 24+83=107 Current State: 82:[50, 2, 107], Operations: ['24+83=107'] Exploring Operation: 50/2=25, Resulting Numbers: [107, 25] Generated Node #3: [107, 25] from Operation: 50/2=25 Current State: 82:[107, 25], Operations: ['24+83=107', '50/2=25'] Exploring Operation: 107-25=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 13, 38, 10, 60 ]
40
[ "13*60=780", "780/10=78", "78-38=40" ]
Current State: 40:[13, 38, 10, 60], Operations: [] Exploring Operation: 13*60=780, Resulting Numbers: [38, 10, 780] Generated Node #2: [38, 10, 780] from Operation: 13*60=780 Current State: 40:[38, 10, 780], Operations: ['13*60=780'] Exploring Operation: 780/10=78, Resulting Numbers: [38, 78] Generated Node #3: [38, 78] from Operation: 780/10=78 Current State: 40:[38, 78], Operations: ['13*60=780', '780/10=78'] Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 34, 18, 15, 38 ]
37
[ "34-18=16", "15+38=53", "53-16=37" ]
Current State: 37:[34, 18, 15, 38], Operations: [] Exploring Operation: 34-18=16, Resulting Numbers: [15, 38, 16] Generated Node #2: [15, 38, 16] from Operation: 34-18=16 Current State: 37:[15, 38, 16], Operations: ['34-18=16'] Exploring Operation: 15+38=53, Resulting Numbers: [16, 53] Generated Node #3: [16, 53] from Operation: 15+38=53 Current State: 37:[16, 53], Operations: ['34-18=16', '15+38=53'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 9, 51, 18, 53 ]
77
[ "51-9=42", "53-18=35", "42+35=77" ]
Current State: 77:[9, 51, 18, 53], Operations: [] Exploring Operation: 51-9=42, Resulting Numbers: [18, 53, 42] Generated Node #2: [18, 53, 42] from Operation: 51-9=42 Current State: 77:[18, 53, 42], Operations: ['51-9=42'] Exploring Operation: 53-18=35, Resulting Numbers: [42, 35] Generated Node #3: [42, 35] from Operation: 53-18=35 Current State: 77:[42, 35], Operations: ['51-9=42', '53-18=35'] Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 60, 44, 3, 3 ]
25
[ "60-44=16", "3*3=9", "16+9=25" ]
Current State: 25:[60, 44, 3, 3], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [3, 3, 16] Generated Node #2: [3, 3, 16] from Operation: 60-44=16 Current State: 25:[3, 3, 16], Operations: ['60-44=16'] Exploring Operation: 3*3=9, Resulting Numbers: [16, 9] Generated Node #3: [16, 9] from Operation: 3*3=9 Current State: 25:[16, 9], Operations: ['60-44=16', '3*3=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 75, 70, 3 ]
65
[ "20+70=90", "75/3=25", "90-25=65" ]
Current State: 65:[20, 75, 70, 3], Operations: [] Exploring Operation: 20+70=90, Resulting Numbers: [75, 3, 90] Generated Node #2: [75, 3, 90] from Operation: 20+70=90 Current State: 65:[75, 3, 90], Operations: ['20+70=90'] Exploring Operation: 75/3=25, Resulting Numbers: [90, 25] Generated Node #3: [90, 25] from Operation: 75/3=25 Current State: 65:[90, 25], Operations: ['20+70=90', '75/3=25'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 19, 73, 78, 42 ]
66
[ "73-19=54", "78+42=120", "120-54=66" ]
Current State: 66:[19, 73, 78, 42], Operations: [] Exploring Operation: 73-19=54, Resulting Numbers: [78, 42, 54] Generated Node #2: [78, 42, 54] from Operation: 73-19=54 Current State: 66:[78, 42, 54], Operations: ['73-19=54'] Exploring Operation: 78+42=120, Resulting Numbers: [54, 120] Generated Node #3: [54, 120] from Operation: 78+42=120 Current State: 66:[54, 120], Operations: ['73-19=54', '78+42=120'] Exploring Operation: 120-54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 40, 44, 86 ]
88
[ "36+44=80", "80/40=2", "86+2=88" ]
Current State: 88:[36, 40, 44, 86], Operations: [] Exploring Operation: 36+44=80, Resulting Numbers: [40, 86, 80] Generated Node #2: [40, 86, 80] from Operation: 36+44=80 Current State: 88:[40, 86, 80], Operations: ['36+44=80'] Exploring Operation: 80/40=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 80/40=2 Current State: 88:[86, 2], Operations: ['36+44=80', '80/40=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 92, 29, 65 ]
64
[ "92-64=28", "65-29=36", "28+36=64" ]
Current State: 64:[64, 92, 29, 65], Operations: [] Exploring Operation: 92-64=28, Resulting Numbers: [29, 65, 28] Generated Node #2: [29, 65, 28] from Operation: 92-64=28 Current State: 64:[29, 65, 28], Operations: ['92-64=28'] Exploring Operation: 65-29=36, Resulting Numbers: [28, 36] Generated Node #3: [28, 36] from Operation: 65-29=36 Current State: 64:[28, 36], Operations: ['92-64=28', '65-29=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 69, 99, 56 ]
54
[ "32+69=101", "99+56=155", "155-101=54" ]
Current State: 54:[32, 69, 99, 56], Operations: [] Exploring Operation: 32+69=101, Resulting Numbers: [99, 56, 101] Generated Node #2: [99, 56, 101] from Operation: 32+69=101 Current State: 54:[99, 56, 101], Operations: ['32+69=101'] Exploring Operation: 99+56=155, Resulting Numbers: [101, 155] Generated Node #3: [101, 155] from Operation: 99+56=155 Current State: 54:[101, 155], Operations: ['32+69=101', '99+56=155'] Exploring Operation: 155-101=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 98, 96, 39 ]
60
[ "69-39=30", "98-96=2", "30*2=60" ]
Current State: 60:[69, 98, 96, 39], Operations: [] Exploring Operation: 69-39=30, Resulting Numbers: [98, 96, 30] Generated Node #2: [98, 96, 30] from Operation: 69-39=30 Current State: 60:[98, 96, 30], Operations: ['69-39=30'] Exploring Operation: 98-96=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 98-96=2 Current State: 60:[30, 2], Operations: ['69-39=30', '98-96=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 83, 13, 86 ]
74
[ "83/83=1", "86-13=73", "1+73=74" ]
Current State: 74:[83, 83, 13, 86], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [13, 86, 1] Generated Node #2: [13, 86, 1] from Operation: 83/83=1 Current State: 74:[13, 86, 1], Operations: ['83/83=1'] Exploring Operation: 86-13=73, Resulting Numbers: [1, 73] Generated Node #3: [1, 73] from Operation: 86-13=73 Current State: 74:[1, 73], Operations: ['83/83=1', '86-13=73'] Exploring Operation: 1+73=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 76, 59, 94 ]
21
[ "94-92=2", "76/2=38", "59-38=21" ]
Current State: 21:[92, 76, 59, 94], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [76, 59, 2] Generated Node #2: [76, 59, 2] from Operation: 94-92=2 Current State: 21:[76, 59, 2], Operations: ['94-92=2'] Exploring Operation: 76/2=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 76/2=38 Current State: 21:[59, 38], Operations: ['94-92=2', '76/2=38'] Exploring Operation: 59-38=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 46, 13, 38 ]
86
[ "46-11=35", "13+38=51", "35+51=86" ]
Current State: 86:[11, 46, 13, 38], Operations: [] Exploring Operation: 46-11=35, Resulting Numbers: [13, 38, 35] Generated Node #2: [13, 38, 35] from Operation: 46-11=35 Current State: 86:[13, 38, 35], Operations: ['46-11=35'] Exploring Operation: 13+38=51, Resulting Numbers: [35, 51] Generated Node #3: [35, 51] from Operation: 13+38=51 Current State: 86:[35, 51], Operations: ['46-11=35', '13+38=51'] Exploring Operation: 35+51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 67, 2, 17, 57 ]
37
[ "67-57=10", "2*10=20", "17+20=37" ]
Current State: 37:[67, 2, 17, 57], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [2, 17, 10] Generated Node #2: [2, 17, 10] from Operation: 67-57=10 Current State: 37:[2, 17, 10], Operations: ['67-57=10'] Exploring Operation: 2*10=20, Resulting Numbers: [17, 20] Generated Node #3: [17, 20] from Operation: 2*10=20 Current State: 37:[17, 20], Operations: ['67-57=10', '2*10=20'] Exploring Operation: 17+20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 25, 40, 24, 49 ]
41
[ "25+24=49", "49/49=1", "40+1=41" ]
Current State: 41:[25, 40, 24, 49], Operations: [] Exploring Operation: 25+24=49, Resulting Numbers: [40, 49, 49] Generated Node #2: [40, 49, 49] from Operation: 25+24=49 Current State: 41:[40, 49, 49], Operations: ['25+24=49'] Exploring Operation: 49/49=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 49/49=1 Current State: 41:[40, 1], Operations: ['25+24=49', '49/49=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 96, 95, 93, 74 ]
91
[ "93-74=19", "95/19=5", "96-5=91" ]
Current State: 91:[96, 95, 93, 74], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [96, 95, 19] Generated Node #2: [96, 95, 19] from Operation: 93-74=19 Current State: 91:[96, 95, 19], Operations: ['93-74=19'] Exploring Operation: 95/19=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 95/19=5 Current State: 91:[96, 5], Operations: ['93-74=19', '95/19=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 23, 25, 15, 45 ]
62
[ "25-23=2", "15+45=60", "2+60=62" ]
Current State: 62:[23, 25, 15, 45], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [15, 45, 2] Generated Node #2: [15, 45, 2] from Operation: 25-23=2 Current State: 62:[15, 45, 2], Operations: ['25-23=2'] Exploring Operation: 15+45=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 15+45=60 Current State: 62:[2, 60], Operations: ['25-23=2', '15+45=60'] Exploring Operation: 2+60=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 23, 30, 17, 63 ]
87
[ "30-23=7", "17+63=80", "7+80=87" ]
Current State: 87:[23, 30, 17, 63], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [17, 63, 7] Generated Node #2: [17, 63, 7] from Operation: 30-23=7 Current State: 87:[17, 63, 7], Operations: ['30-23=7'] Exploring Operation: 17+63=80, Resulting Numbers: [7, 80] Generated Node #3: [7, 80] from Operation: 17+63=80 Current State: 87:[7, 80], Operations: ['30-23=7', '17+63=80'] Exploring Operation: 7+80=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 71, 43, 57, 16 ]
13
[ "71-43=28", "57-16=41", "41-28=13" ]
Current State: 13:[71, 43, 57, 16], Operations: [] Exploring Operation: 71-43=28, Resulting Numbers: [57, 16, 28] Generated Node #2: [57, 16, 28] from Operation: 71-43=28 Current State: 13:[57, 16, 28], Operations: ['71-43=28'] Exploring Operation: 57-16=41, Resulting Numbers: [28, 41] Generated Node #3: [28, 41] from Operation: 57-16=41 Current State: 13:[28, 41], Operations: ['71-43=28', '57-16=41'] Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 68, 25, 72, 45 ]
70
[ "68-25=43", "72-45=27", "43+27=70" ]
Current State: 70:[68, 25, 72, 45], Operations: [] Exploring Operation: 68-25=43, Resulting Numbers: [72, 45, 43] Generated Node #2: [72, 45, 43] from Operation: 68-25=43 Current State: 70:[72, 45, 43], Operations: ['68-25=43'] Exploring Operation: 72-45=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 72-45=27 Current State: 70:[43, 27], Operations: ['68-25=43', '72-45=27'] Exploring Operation: 43+27=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 89, 34, 78 ]
61
[ "89-38=51", "34+78=112", "112-51=61" ]
Current State: 61:[38, 89, 34, 78], Operations: [] Exploring Operation: 89-38=51, Resulting Numbers: [34, 78, 51] Generated Node #2: [34, 78, 51] from Operation: 89-38=51 Current State: 61:[34, 78, 51], Operations: ['89-38=51'] Exploring Operation: 34+78=112, Resulting Numbers: [51, 112] Generated Node #3: [51, 112] from Operation: 34+78=112 Current State: 61:[51, 112], Operations: ['89-38=51', '34+78=112'] Exploring Operation: 112-51=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 71, 64, 60 ]
27
[ "71-48=23", "64-60=4", "23+4=27" ]
Current State: 27:[48, 71, 64, 60], Operations: [] Exploring Operation: 71-48=23, Resulting Numbers: [64, 60, 23] Generated Node #2: [64, 60, 23] from Operation: 71-48=23 Current State: 27:[64, 60, 23], Operations: ['71-48=23'] Exploring Operation: 64-60=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 64-60=4 Current State: 27:[23, 4], Operations: ['71-48=23', '64-60=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 98, 92, 83 ]
29
[ "91+83=174", "98-92=6", "174/6=29" ]
Current State: 29:[91, 98, 92, 83], Operations: [] Exploring Operation: 91+83=174, Resulting Numbers: [98, 92, 174] Generated Node #2: [98, 92, 174] from Operation: 91+83=174 Current State: 29:[98, 92, 174], Operations: ['91+83=174'] Exploring Operation: 98-92=6, Resulting Numbers: [174, 6] Generated Node #3: [174, 6] from Operation: 98-92=6 Current State: 29:[174, 6], Operations: ['91+83=174', '98-92=6'] Exploring Operation: 174/6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 56, 68, 70, 51 ]
79
[ "70-68=2", "56/2=28", "51+28=79" ]
Current State: 79:[56, 68, 70, 51], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [56, 51, 2] Generated Node #2: [56, 51, 2] from Operation: 70-68=2 Current State: 79:[56, 51, 2], Operations: ['70-68=2'] Exploring Operation: 56/2=28, Resulting Numbers: [51, 28] Generated Node #3: [51, 28] from Operation: 56/2=28 Current State: 79:[51, 28], Operations: ['70-68=2', '56/2=28'] Exploring Operation: 51+28=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 10, 73, 2 ]
39
[ "15-10=5", "73+5=78", "78/2=39" ]
Current State: 39:[15, 10, 73, 2], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [73, 2, 5] Generated Node #2: [73, 2, 5] from Operation: 15-10=5 Current State: 39:[73, 2, 5], Operations: ['15-10=5'] Exploring Operation: 73+5=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 73+5=78 Current State: 39:[2, 78], Operations: ['15-10=5', '73+5=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 72, 2, 20, 40 ]
71
[ "2*20=40", "40/40=1", "72-1=71" ]
Current State: 71:[72, 2, 20, 40], Operations: [] Exploring Operation: 2*20=40, Resulting Numbers: [72, 40, 40] Generated Node #2: [72, 40, 40] from Operation: 2*20=40 Current State: 71:[72, 40, 40], Operations: ['2*20=40'] Exploring Operation: 40/40=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 40/40=1 Current State: 71:[72, 1], Operations: ['2*20=40', '40/40=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 50, 89, 42, 49 ]
100
[ "89-42=47", "49-47=2", "50*2=100" ]
Current State: 100:[50, 89, 42, 49], Operations: [] Exploring Operation: 89-42=47, Resulting Numbers: [50, 49, 47] Generated Node #2: [50, 49, 47] from Operation: 89-42=47 Current State: 100:[50, 49, 47], Operations: ['89-42=47'] Exploring Operation: 49-47=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 49-47=2 Current State: 100:[50, 2], Operations: ['89-42=47', '49-47=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 33, 71, 11 ]
44
[ "71+33=104", "71-11=60", "104-60=44" ]
Current State: 44:[71, 33, 71, 11], Operations: [] Exploring Operation: 71+33=104, Resulting Numbers: [11, 104] Generated Node #2: [11, 104] from Operation: 71+33=104 Current State: 44:[11, 104], Operations: ['71+33=104'] Exploring Operation: 71-11=60, Resulting Numbers: [104, 60] Generated Node #3: [104, 60] from Operation: 71-11=60 Current State: 44:[104, 60], Operations: ['71+33=104', '71-11=60'] Exploring Operation: 104-60=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 42, 1, 48 ]
60
[ "54-42=12", "1*48=48", "12+48=60" ]
Current State: 60:[54, 42, 1, 48], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [1, 48, 12] Generated Node #2: [1, 48, 12] from Operation: 54-42=12 Current State: 60:[1, 48, 12], Operations: ['54-42=12'] Exploring Operation: 1*48=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 1*48=48 Current State: 60:[12, 48], Operations: ['54-42=12', '1*48=48'] Exploring Operation: 12+48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 34, 52, 54, 41 ]
73
[ "34+52=86", "54-41=13", "86-13=73" ]
Current State: 73:[34, 52, 54, 41], Operations: [] Exploring Operation: 34+52=86, Resulting Numbers: [54, 41, 86] Generated Node #2: [54, 41, 86] from Operation: 34+52=86 Current State: 73:[54, 41, 86], Operations: ['34+52=86'] Exploring Operation: 54-41=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 54-41=13 Current State: 73:[86, 13], Operations: ['34+52=86', '54-41=13'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 62, 44, 19 ]
61
[ "62/31=2", "44+19=63", "63-2=61" ]
Current State: 61:[31, 62, 44, 19], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [44, 19, 2] Generated Node #2: [44, 19, 2] from Operation: 62/31=2 Current State: 61:[44, 19, 2], Operations: ['62/31=2'] Exploring Operation: 44+19=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 44+19=63 Current State: 61:[2, 63], Operations: ['62/31=2', '44+19=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 54, 8, 51 ]
71
[ "76+54=130", "8+51=59", "130-59=71" ]
Current State: 71:[76, 54, 8, 51], Operations: [] Exploring Operation: 76+54=130, Resulting Numbers: [8, 51, 130] Generated Node #2: [8, 51, 130] from Operation: 76+54=130 Current State: 71:[8, 51, 130], Operations: ['76+54=130'] Exploring Operation: 8+51=59, Resulting Numbers: [130, 59] Generated Node #3: [130, 59] from Operation: 8+51=59 Current State: 71:[130, 59], Operations: ['76+54=130', '8+51=59'] Exploring Operation: 130-59=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 8, 52, 10 ]
26
[ "24-8=16", "52-10=42", "42-16=26" ]
Current State: 26:[24, 8, 52, 10], Operations: [] Exploring Operation: 24-8=16, Resulting Numbers: [52, 10, 16] Generated Node #2: [52, 10, 16] from Operation: 24-8=16 Current State: 26:[52, 10, 16], Operations: ['24-8=16'] Exploring Operation: 52-10=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 52-10=42 Current State: 26:[16, 42], Operations: ['24-8=16', '52-10=42'] Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 50, 2, 73, 9 ]
45
[ "50+9=59", "2*59=118", "118-73=45" ]
Current State: 45:[50, 2, 73, 9], Operations: [] Exploring Operation: 50+9=59, Resulting Numbers: [2, 73, 59] Generated Node #2: [2, 73, 59] from Operation: 50+9=59 Current State: 45:[2, 73, 59], Operations: ['50+9=59'] Exploring Operation: 2*59=118, Resulting Numbers: [73, 118] Generated Node #3: [73, 118] from Operation: 2*59=118 Current State: 45:[73, 118], Operations: ['50+9=59', '2*59=118'] Exploring Operation: 118-73=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 60, 48, 75 ]
73
[ "63-60=3", "75/3=25", "48+25=73" ]
Current State: 73:[63, 60, 48, 75], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [48, 75, 3] Generated Node #2: [48, 75, 3] from Operation: 63-60=3 Current State: 73:[48, 75, 3], Operations: ['63-60=3'] Exploring Operation: 75/3=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 75/3=25 Current State: 73:[48, 25], Operations: ['63-60=3', '75/3=25'] Exploring Operation: 48+25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 90, 40, 83, 52 ]
19
[ "90-40=50", "83-52=31", "50-31=19" ]
Current State: 19:[90, 40, 83, 52], Operations: [] Exploring Operation: 90-40=50, Resulting Numbers: [83, 52, 50] Generated Node #2: [83, 52, 50] from Operation: 90-40=50 Current State: 19:[83, 52, 50], Operations: ['90-40=50'] Exploring Operation: 83-52=31, Resulting Numbers: [50, 31] Generated Node #3: [50, 31] from Operation: 83-52=31 Current State: 19:[50, 31], Operations: ['90-40=50', '83-52=31'] Exploring Operation: 50-31=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 33, 13, 12, 30 ]
75
[ "33-30=3", "13+12=25", "3*25=75" ]
Current State: 75:[33, 13, 12, 30], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [13, 12, 3] Generated Node #2: [13, 12, 3] from Operation: 33-30=3 Current State: 75:[13, 12, 3], Operations: ['33-30=3'] Exploring Operation: 13+12=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 13+12=25 Current State: 75:[3, 25], Operations: ['33-30=3', '13+12=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 61, 45, 18, 64 ]
30
[ "61-45=16", "64-18=46", "46-16=30" ]
Current State: 30:[61, 45, 18, 64], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [18, 64, 16] Generated Node #2: [18, 64, 16] from Operation: 61-45=16 Current State: 30:[18, 64, 16], Operations: ['61-45=16'] Exploring Operation: 64-18=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 64-18=46 Current State: 30:[16, 46], Operations: ['61-45=16', '64-18=46'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 45, 38, 56 ]
57
[ "45-8=37", "38+56=94", "94-37=57" ]
Current State: 57:[8, 45, 38, 56], Operations: [] Exploring Operation: 45-8=37, Resulting Numbers: [38, 56, 37] Generated Node #2: [38, 56, 37] from Operation: 45-8=37 Current State: 57:[38, 56, 37], Operations: ['45-8=37'] Exploring Operation: 38+56=94, Resulting Numbers: [37, 94] Generated Node #3: [37, 94] from Operation: 38+56=94 Current State: 57:[37, 94], Operations: ['45-8=37', '38+56=94'] Exploring Operation: 94-37=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 35, 23, 24 ]
90
[ "45*24=1080", "35-23=12", "1080/12=90" ]
Current State: 90:[45, 35, 23, 24], Operations: [] Exploring Operation: 45*24=1080, Resulting Numbers: [35, 23, 1080] Generated Node #2: [35, 23, 1080] from Operation: 45*24=1080 Current State: 90:[35, 23, 1080], Operations: ['45*24=1080'] Exploring Operation: 35-23=12, Resulting Numbers: [1080, 12] Generated Node #3: [1080, 12] from Operation: 35-23=12 Current State: 90:[1080, 12], Operations: ['45*24=1080', '35-23=12'] Exploring Operation: 1080/12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 80, 91, 1, 20 ]
88
[ "80/20=4", "91+1=92", "92-4=88" ]
Current State: 88:[80, 91, 1, 20], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [91, 1, 4] Generated Node #2: [91, 1, 4] from Operation: 80/20=4 Current State: 88:[91, 1, 4], Operations: ['80/20=4'] Exploring Operation: 91+1=92, Resulting Numbers: [4, 92] Generated Node #3: [4, 92] from Operation: 91+1=92 Current State: 88:[4, 92], Operations: ['80/20=4', '91+1=92'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 35, 94, 63 ]
86
[ "36+35=71", "94+63=157", "157-71=86" ]
Current State: 86:[36, 35, 94, 63], Operations: [] Exploring Operation: 36+35=71, Resulting Numbers: [94, 63, 71] Generated Node #2: [94, 63, 71] from Operation: 36+35=71 Current State: 86:[94, 63, 71], Operations: ['36+35=71'] Exploring Operation: 94+63=157, Resulting Numbers: [71, 157] Generated Node #3: [71, 157] from Operation: 94+63=157 Current State: 86:[71, 157], Operations: ['36+35=71', '94+63=157'] Exploring Operation: 157-71=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 86, 56, 51 ]
62
[ "86-41=45", "56+51=107", "107-45=62" ]
Current State: 62:[41, 86, 56, 51], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [56, 51, 45] Generated Node #2: [56, 51, 45] from Operation: 86-41=45 Current State: 62:[56, 51, 45], Operations: ['86-41=45'] Exploring Operation: 56+51=107, Resulting Numbers: [45, 107] Generated Node #3: [45, 107] from Operation: 56+51=107 Current State: 62:[45, 107], Operations: ['86-41=45', '56+51=107'] Exploring Operation: 107-45=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 29, 78, 12, 24 ]
13
[ "78-29=49", "12+24=36", "49-36=13" ]
Current State: 13:[29, 78, 12, 24], Operations: [] Exploring Operation: 78-29=49, Resulting Numbers: [12, 24, 49] Generated Node #2: [12, 24, 49] from Operation: 78-29=49 Current State: 13:[12, 24, 49], Operations: ['78-29=49'] Exploring Operation: 12+24=36, Resulting Numbers: [49, 36] Generated Node #3: [49, 36] from Operation: 12+24=36 Current State: 13:[49, 36], Operations: ['78-29=49', '12+24=36'] Exploring Operation: 49-36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 54, 44, 48 ]
25
[ "13+54=67", "44+48=92", "92-67=25" ]
Current State: 25:[13, 54, 44, 48], Operations: [] Exploring Operation: 13+54=67, Resulting Numbers: [44, 48, 67] Generated Node #2: [44, 48, 67] from Operation: 13+54=67 Current State: 25:[44, 48, 67], Operations: ['13+54=67'] Exploring Operation: 44+48=92, Resulting Numbers: [67, 92] Generated Node #3: [67, 92] from Operation: 44+48=92 Current State: 25:[67, 92], Operations: ['13+54=67', '44+48=92'] Exploring Operation: 92-67=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 75, 59, 65, 37 ]
86
[ "75-59=16", "65+37=102", "102-16=86" ]
Current State: 86:[75, 59, 65, 37], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [65, 37, 16] Generated Node #2: [65, 37, 16] from Operation: 75-59=16 Current State: 86:[65, 37, 16], Operations: ['75-59=16'] Exploring Operation: 65+37=102, Resulting Numbers: [16, 102] Generated Node #3: [16, 102] from Operation: 65+37=102 Current State: 86:[16, 102], Operations: ['75-59=16', '65+37=102'] Exploring Operation: 102-16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 74, 35, 11, 72 ]
71
[ "35-11=24", "72/24=3", "74-3=71" ]
Current State: 71:[74, 35, 11, 72], Operations: [] Exploring Operation: 35-11=24, Resulting Numbers: [74, 72, 24] Generated Node #2: [74, 72, 24] from Operation: 35-11=24 Current State: 71:[74, 72, 24], Operations: ['35-11=24'] Exploring Operation: 72/24=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 72/24=3 Current State: 71:[74, 3], Operations: ['35-11=24', '72/24=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 98, 92, 80 ]
55
[ "19+98=117", "92+80=172", "172-117=55" ]
Current State: 55:[19, 98, 92, 80], Operations: [] Exploring Operation: 19+98=117, Resulting Numbers: [92, 80, 117] Generated Node #2: [92, 80, 117] from Operation: 19+98=117 Current State: 55:[92, 80, 117], Operations: ['19+98=117'] Exploring Operation: 92+80=172, Resulting Numbers: [117, 172] Generated Node #3: [117, 172] from Operation: 92+80=172 Current State: 55:[117, 172], Operations: ['19+98=117', '92+80=172'] Exploring Operation: 172-117=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 60, 66, 18, 68 ]
65
[ "66-60=6", "18/6=3", "68-3=65" ]
Current State: 65:[60, 66, 18, 68], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [18, 68, 6] Generated Node #2: [18, 68, 6] from Operation: 66-60=6 Current State: 65:[18, 68, 6], Operations: ['66-60=6'] Exploring Operation: 18/6=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 18/6=3 Current State: 65:[68, 3], Operations: ['66-60=6', '18/6=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 11, 32, 20 ]
14
[ "32-20=12", "36/12=3", "11+3=14" ]
Current State: 14:[36, 11, 32, 20], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [36, 11, 12] Generated Node #2: [36, 11, 12] from Operation: 32-20=12 Current State: 14:[36, 11, 12], Operations: ['32-20=12'] Exploring Operation: 36/12=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 36/12=3 Current State: 14:[11, 3], Operations: ['32-20=12', '36/12=3'] Exploring Operation: 11+3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 80, 51, 28 ]
80
[ "51-51=0", "28*0=0", "80+0=80" ]
Current State: 80:[51, 80, 51, 28], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [80, 28, 0] Generated Node #2: [80, 28, 0] from Operation: 51-51=0 Current State: 80:[80, 28, 0], Operations: ['51-51=0'] Exploring Operation: 28*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 28*0=0 Current State: 80:[80, 0], Operations: ['51-51=0', '28*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 53, 62, 8 ]
47
[ "53-8=45", "45/3=15", "62-15=47" ]
Current State: 47:[3, 53, 62, 8], Operations: [] Exploring Operation: 53-8=45, Resulting Numbers: [3, 62, 45] Generated Node #2: [3, 62, 45] from Operation: 53-8=45 Current State: 47:[3, 62, 45], Operations: ['53-8=45'] Exploring Operation: 45/3=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 45/3=15 Current State: 47:[62, 15], Operations: ['53-8=45', '45/3=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 18, 28, 89 ]
84
[ "28-18=10", "10/2=5", "89-5=84" ]
Current State: 84:[2, 18, 28, 89], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [2, 89, 10] Generated Node #2: [2, 89, 10] from Operation: 28-18=10 Current State: 84:[2, 89, 10], Operations: ['28-18=10'] Exploring Operation: 10/2=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 10/2=5 Current State: 84:[89, 5], Operations: ['28-18=10', '10/2=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 9, 62, 33, 39 ]
81
[ "33*39=1287", "1287/9=143", "143-62=81" ]
Current State: 81:[9, 62, 33, 39], Operations: [] Exploring Operation: 33*39=1287, Resulting Numbers: [9, 62, 1287] Generated Node #2: [9, 62, 1287] from Operation: 33*39=1287 Current State: 81:[9, 62, 1287], Operations: ['33*39=1287'] Exploring Operation: 1287/9=143, Resulting Numbers: [62, 143] Generated Node #3: [62, 143] from Operation: 1287/9=143 Current State: 81:[62, 143], Operations: ['33*39=1287', '1287/9=143'] Exploring Operation: 143-62=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 86, 87, 11, 96 ]
86
[ "87-86=1", "96-11=85", "1+85=86" ]
Current State: 86:[86, 87, 11, 96], Operations: [] Exploring Operation: 87-86=1, Resulting Numbers: [11, 96, 1] Generated Node #2: [11, 96, 1] from Operation: 87-86=1 Current State: 86:[11, 96, 1], Operations: ['87-86=1'] Exploring Operation: 96-11=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 96-11=85 Current State: 86:[1, 85], Operations: ['87-86=1', '96-11=85'] Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 71, 11, 2 ]
69
[ "45+71=116", "116/2=58", "11+58=69" ]
Current State: 69:[45, 71, 11, 2], Operations: [] Exploring Operation: 45+71=116, Resulting Numbers: [11, 2, 116] Generated Node #2: [11, 2, 116] from Operation: 45+71=116 Current State: 69:[11, 2, 116], Operations: ['45+71=116'] Exploring Operation: 116/2=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 116/2=58 Current State: 69:[11, 58], Operations: ['45+71=116', '116/2=58'] Exploring Operation: 11+58=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 59, 76, 31, 38 ]
56
[ "59-31=28", "76/38=2", "28*2=56" ]
Current State: 56:[59, 76, 31, 38], Operations: [] Exploring Operation: 59-31=28, Resulting Numbers: [76, 38, 28] Generated Node #2: [76, 38, 28] from Operation: 59-31=28 Current State: 56:[76, 38, 28], Operations: ['59-31=28'] Exploring Operation: 76/38=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 76/38=2 Current State: 56:[28, 2], Operations: ['59-31=28', '76/38=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 41, 56, 2, 80 ]
15
[ "41+56=97", "2+80=82", "97-82=15" ]
Current State: 15:[41, 56, 2, 80], Operations: [] Exploring Operation: 41+56=97, Resulting Numbers: [2, 80, 97] Generated Node #2: [2, 80, 97] from Operation: 41+56=97 Current State: 15:[2, 80, 97], Operations: ['41+56=97'] Exploring Operation: 2+80=82, Resulting Numbers: [97, 82] Generated Node #3: [97, 82] from Operation: 2+80=82 Current State: 15:[97, 82], Operations: ['41+56=97', '2+80=82'] Exploring Operation: 97-82=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 41, 69, 41 ]
14
[ "41-41=0", "69*0=0", "14+0=14" ]
Current State: 14:[14, 41, 69, 41], Operations: [] Exploring Operation: 41-41=0, Resulting Numbers: [14, 69, 0] Generated Node #2: [14, 69, 0] from Operation: 41-41=0 Current State: 14:[14, 69, 0], Operations: ['41-41=0'] Exploring Operation: 69*0=0, Resulting Numbers: [14, 0] Generated Node #3: [14, 0] from Operation: 69*0=0 Current State: 14:[14, 0], Operations: ['41-41=0', '69*0=0'] Exploring Operation: 14+0=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 68, 31, 64 ]
69
[ "94-68=26", "31+64=95", "95-26=69" ]
Current State: 69:[94, 68, 31, 64], Operations: [] Exploring Operation: 94-68=26, Resulting Numbers: [31, 64, 26] Generated Node #2: [31, 64, 26] from Operation: 94-68=26 Current State: 69:[31, 64, 26], Operations: ['94-68=26'] Exploring Operation: 31+64=95, Resulting Numbers: [26, 95] Generated Node #3: [26, 95] from Operation: 31+64=95 Current State: 69:[26, 95], Operations: ['94-68=26', '31+64=95'] Exploring Operation: 95-26=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 96, 78, 47 ]
16
[ "96-49=47", "78-47=31", "47-31=16" ]
Current State: 16:[49, 96, 78, 47], Operations: [] Exploring Operation: 96-49=47, Resulting Numbers: [78, 47, 47] Generated Node #2: [78, 47, 47] from Operation: 96-49=47 Current State: 16:[78, 47, 47], Operations: ['96-49=47'] Exploring Operation: 78-47=31, Resulting Numbers: [31] 31,16 equal: Goal Reached Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 84, 49, 13, 61 ]
91
[ "84*13=1092", "61-49=12", "1092/12=91" ]
Current State: 91:[84, 49, 13, 61], Operations: [] Exploring Operation: 84*13=1092, Resulting Numbers: [49, 61, 1092] Generated Node #2: [49, 61, 1092] from Operation: 84*13=1092 Current State: 91:[49, 61, 1092], Operations: ['84*13=1092'] Exploring Operation: 61-49=12, Resulting Numbers: [1092, 12] Generated Node #3: [1092, 12] from Operation: 61-49=12 Current State: 91:[1092, 12], Operations: ['84*13=1092', '61-49=12'] Exploring Operation: 1092/12=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 34, 49, 64 ]
22
[ "34+64=98", "11*98=1078", "1078/49=22" ]
Current State: 22:[11, 34, 49, 64], Operations: [] Exploring Operation: 34+64=98, Resulting Numbers: [11, 49, 98] Generated Node #2: [11, 49, 98] from Operation: 34+64=98 Current State: 22:[11, 49, 98], Operations: ['34+64=98'] Exploring Operation: 11*98=1078, Resulting Numbers: [49, 1078] Generated Node #3: [49, 1078] from Operation: 11*98=1078 Current State: 22:[49, 1078], Operations: ['34+64=98', '11*98=1078'] Exploring Operation: 1078/49=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 1, 11, 95 ]
59
[ "1+95=96", "96/2=48", "11+48=59" ]
Current State: 59:[2, 1, 11, 95], Operations: [] Exploring Operation: 1+95=96, Resulting Numbers: [2, 11, 96] Generated Node #2: [2, 11, 96] from Operation: 1+95=96 Current State: 59:[2, 11, 96], Operations: ['1+95=96'] Exploring Operation: 96/2=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 96/2=48 Current State: 59:[11, 48], Operations: ['1+95=96', '96/2=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 96, 98, 99, 21 ]
39
[ "98-96=2", "99-21=78", "78/2=39" ]
Current State: 39:[96, 98, 99, 21], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [99, 21, 2] Generated Node #2: [99, 21, 2] from Operation: 98-96=2 Current State: 39:[99, 21, 2], Operations: ['98-96=2'] Exploring Operation: 99-21=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 99-21=78 Current State: 39:[2, 78], Operations: ['98-96=2', '99-21=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 67, 18, 68, 81 ]
100
[ "67-18=49", "68+81=149", "149-49=100" ]
Current State: 100:[67, 18, 68, 81], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [68, 81, 49] Generated Node #2: [68, 81, 49] from Operation: 67-18=49 Current State: 100:[68, 81, 49], Operations: ['67-18=49'] Exploring Operation: 68+81=149, Resulting Numbers: [49, 149] Generated Node #3: [49, 149] from Operation: 68+81=149 Current State: 100:[49, 149], Operations: ['67-18=49', '68+81=149'] Exploring Operation: 149-49=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 60, 13, 12, 22 ]
13
[ "60-13=47", "12+22=34", "47-34=13" ]
Current State: 13:[60, 13, 12, 22], Operations: [] Exploring Operation: 60-13=47, Resulting Numbers: [12, 22, 47] Generated Node #2: [12, 22, 47] from Operation: 60-13=47 Current State: 13:[12, 22, 47], Operations: ['60-13=47'] Exploring Operation: 12+22=34, Resulting Numbers: [47, 34] Generated Node #3: [47, 34] from Operation: 12+22=34 Current State: 13:[47, 34], Operations: ['60-13=47', '12+22=34'] Exploring Operation: 47-34=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 38, 38, 11 ]
60
[ "40-38=2", "11*2=22", "38+22=60" ]
Current State: 60:[40, 38, 38, 11], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [11, 2] Generated Node #2: [11, 2] from Operation: 40-38=2 Current State: 60:[11, 2], Operations: ['40-38=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,60 equal: Goal Reached Exploring Operation: 38+22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 30, 74, 3, 81 ]
37
[ "30+81=111", "111/3=37", "74-37=37" ]
Current State: 37:[30, 74, 3, 81], Operations: [] Exploring Operation: 30+81=111, Resulting Numbers: [74, 3, 111] Generated Node #2: [74, 3, 111] from Operation: 30+81=111 Current State: 37:[74, 3, 111], Operations: ['30+81=111'] Exploring Operation: 111/3=37, Resulting Numbers: [74, 37] Generated Node #3: [74, 37] from Operation: 111/3=37 Current State: 37:[74, 37], Operations: ['30+81=111', '111/3=37'] Exploring Operation: 74-37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 7, 36, 99 ]
70
[ "99-36=63", "63/7=9", "61+9=70" ]
Current State: 70:[61, 7, 36, 99], Operations: [] Exploring Operation: 99-36=63, Resulting Numbers: [61, 7, 63] Generated Node #2: [61, 7, 63] from Operation: 99-36=63 Current State: 70:[61, 7, 63], Operations: ['99-36=63'] Exploring Operation: 63/7=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 63/7=9 Current State: 70:[61, 9], Operations: ['99-36=63', '63/7=9'] Exploring Operation: 61+9=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 21, 13, 76 ]
75
[ "34-21=13", "13/13=1", "76-1=75" ]
Current State: 75:[34, 21, 13, 76], Operations: [] Exploring Operation: 34-21=13, Resulting Numbers: [13, 76, 13] Generated Node #2: [13, 76, 13] from Operation: 34-21=13 Current State: 75:[13, 76, 13], Operations: ['34-21=13'] Exploring Operation: 13/13=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 13/13=1 Current State: 75:[76, 1], Operations: ['34-21=13', '13/13=1'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 87, 44, 79 ]
32
[ "87/29=3", "79-44=35", "35-3=32" ]
Current State: 32:[29, 87, 44, 79], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [44, 79, 3] Generated Node #2: [44, 79, 3] from Operation: 87/29=3 Current State: 32:[44, 79, 3], Operations: ['87/29=3'] Exploring Operation: 79-44=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 79-44=35 Current State: 32:[3, 35], Operations: ['87/29=3', '79-44=35'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 85, 22, 2, 5 ]
60
[ "85-22=63", "5-2=3", "63-3=60" ]
Current State: 60:[85, 22, 2, 5], Operations: [] Exploring Operation: 85-22=63, Resulting Numbers: [2, 5, 63] Generated Node #2: [2, 5, 63] from Operation: 85-22=63 Current State: 60:[2, 5, 63], Operations: ['85-22=63'] Exploring Operation: 5-2=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 5-2=3 Current State: 60:[63, 3], Operations: ['85-22=63', '5-2=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 27, 45, 48, 56 ]
80
[ "27+45=72", "56-48=8", "72+8=80" ]
Current State: 80:[27, 45, 48, 56], Operations: [] Exploring Operation: 27+45=72, Resulting Numbers: [48, 56, 72] Generated Node #2: [48, 56, 72] from Operation: 27+45=72 Current State: 80:[48, 56, 72], Operations: ['27+45=72'] Exploring Operation: 56-48=8, Resulting Numbers: [72, 8] Generated Node #3: [72, 8] from Operation: 56-48=8 Current State: 80:[72, 8], Operations: ['27+45=72', '56-48=8'] Exploring Operation: 72+8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 43, 21, 87, 27 ]
92
[ "43-21=22", "87+27=114", "114-22=92" ]
Current State: 92:[43, 21, 87, 27], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [87, 27, 22] Generated Node #2: [87, 27, 22] from Operation: 43-21=22 Current State: 92:[87, 27, 22], Operations: ['43-21=22'] Exploring Operation: 87+27=114, Resulting Numbers: [22, 114] Generated Node #3: [22, 114] from Operation: 87+27=114 Current State: 92:[22, 114], Operations: ['43-21=22', '87+27=114'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 20, 94, 99, 38 ]
96
[ "20+94=114", "114/38=3", "99-3=96" ]
Current State: 96:[20, 94, 99, 38], Operations: [] Exploring Operation: 20+94=114, Resulting Numbers: [99, 38, 114] Generated Node #2: [99, 38, 114] from Operation: 20+94=114 Current State: 96:[99, 38, 114], Operations: ['20+94=114'] Exploring Operation: 114/38=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 114/38=3 Current State: 96:[99, 3], Operations: ['20+94=114', '114/38=3'] Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 53, 4, 43 ]
94
[ "21*4=84", "53-43=10", "84+10=94" ]
Current State: 94:[21, 53, 4, 43], Operations: [] Exploring Operation: 21*4=84, Resulting Numbers: [53, 43, 84] Generated Node #2: [53, 43, 84] from Operation: 21*4=84 Current State: 94:[53, 43, 84], Operations: ['21*4=84'] Exploring Operation: 53-43=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 53-43=10 Current State: 94:[84, 10], Operations: ['21*4=84', '53-43=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 14, 6, 8 ]
38
[ "14+8=22", "6*22=132", "132-94=38" ]
Current State: 38:[94, 14, 6, 8], Operations: [] Exploring Operation: 14+8=22, Resulting Numbers: [94, 6, 22] Generated Node #2: [94, 6, 22] from Operation: 14+8=22 Current State: 38:[94, 6, 22], Operations: ['14+8=22'] Exploring Operation: 6*22=132, Resulting Numbers: [94, 132] Generated Node #3: [94, 132] from Operation: 6*22=132 Current State: 38:[94, 132], Operations: ['14+8=22', '6*22=132'] Exploring Operation: 132-94=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4