nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 20, 36, 63, 59 ]
24
[ "20*63=1260", "1260/36=35", "59-35=24" ]
Current State: 24:[20, 36, 63, 59], Operations: [] Exploring Operation: 20*63=1260, Resulting Numbers: [36, 59, 1260] Generated Node #2: [36, 59, 1260] from Operation: 20*63=1260 Current State: 24:[36, 59, 1260], Operations: ['20*63=1260'] Exploring Operation: 1260/36=35, Resulting Numbers: [59, 35] Generated Node #3: [59, 35] from Operation: 1260/36=35 Current State: 24:[59, 35], Operations: ['20*63=1260', '1260/36=35'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 84, 74, 84 ]
71
[ "74-2=72", "84/84=1", "72-1=71" ]
Current State: 71:[2, 84, 74, 84], Operations: [] Exploring Operation: 74-2=72, Resulting Numbers: [84, 84, 72] Generated Node #2: [84, 84, 72] from Operation: 74-2=72 Current State: 71:[84, 84, 72], Operations: ['74-2=72'] Exploring Operation: 84/84=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 84/84=1 Current State: 71:[72, 1], Operations: ['74-2=72', '84/84=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 90, 74, 79 ]
94
[ "90-1=89", "79-74=5", "89+5=94" ]
Current State: 94:[1, 90, 74, 79], Operations: [] Exploring Operation: 90-1=89, Resulting Numbers: [74, 79, 89] Generated Node #2: [74, 79, 89] from Operation: 90-1=89 Current State: 94:[74, 79, 89], Operations: ['90-1=89'] Exploring Operation: 79-74=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 79-74=5 Current State: 94:[89, 5], Operations: ['90-1=89', '79-74=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 10, 12, 80 ]
22
[ "25*12=300", "300-80=220", "220/10=22" ]
Current State: 22:[25, 10, 12, 80], Operations: [] Exploring Operation: 25*12=300, Resulting Numbers: [10, 80, 300] Generated Node #2: [10, 80, 300] from Operation: 25*12=300 Current State: 22:[10, 80, 300], Operations: ['25*12=300'] Exploring Operation: 300-80=220, Resulting Numbers: [10, 220] Generated Node #3: [10, 220] from Operation: 300-80=220 Current State: 22:[10, 220], Operations: ['25*12=300', '300-80=220'] Exploring Operation: 220/10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 88, 89, 96, 62 ]
35
[ "89-88=1", "96-62=34", "1+34=35" ]
Current State: 35:[88, 89, 96, 62], Operations: [] Exploring Operation: 89-88=1, Resulting Numbers: [96, 62, 1] Generated Node #2: [96, 62, 1] from Operation: 89-88=1 Current State: 35:[96, 62, 1], Operations: ['89-88=1'] Exploring Operation: 96-62=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 96-62=34 Current State: 35:[1, 34], Operations: ['89-88=1', '96-62=34'] Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 77, 15, 22 ]
91
[ "7+77=84", "22-15=7", "84+7=91" ]
Current State: 91:[7, 77, 15, 22], Operations: [] Exploring Operation: 7+77=84, Resulting Numbers: [15, 22, 84] Generated Node #2: [15, 22, 84] from Operation: 7+77=84 Current State: 91:[15, 22, 84], Operations: ['7+77=84'] Exploring Operation: 22-15=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 22-15=7 Current State: 91:[84, 7], Operations: ['7+77=84', '22-15=7'] Exploring Operation: 84+7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 56, 40, 59, 96 ]
24
[ "59-56=3", "40*3=120", "120-96=24" ]
Current State: 24:[56, 40, 59, 96], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [40, 96, 3] Generated Node #2: [40, 96, 3] from Operation: 59-56=3 Current State: 24:[40, 96, 3], Operations: ['59-56=3'] Exploring Operation: 40*3=120, Resulting Numbers: [96, 120] Generated Node #3: [96, 120] from Operation: 40*3=120 Current State: 24:[96, 120], Operations: ['59-56=3', '40*3=120'] Exploring Operation: 120-96=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 12, 16, 80 ]
60
[ "77-12=65", "80/16=5", "65-5=60" ]
Current State: 60:[77, 12, 16, 80], Operations: [] Exploring Operation: 77-12=65, Resulting Numbers: [16, 80, 65] Generated Node #2: [16, 80, 65] from Operation: 77-12=65 Current State: 60:[16, 80, 65], Operations: ['77-12=65'] Exploring Operation: 80/16=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 80/16=5 Current State: 60:[65, 5], Operations: ['77-12=65', '80/16=5'] Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 96, 58, 4, 2 ]
65
[ "58+4=62", "62/2=31", "96-31=65" ]
Current State: 65:[96, 58, 4, 2], Operations: [] Exploring Operation: 58+4=62, Resulting Numbers: [96, 2, 62] Generated Node #2: [96, 2, 62] from Operation: 58+4=62 Current State: 65:[96, 2, 62], Operations: ['58+4=62'] Exploring Operation: 62/2=31, Resulting Numbers: [96, 31] Generated Node #3: [96, 31] from Operation: 62/2=31 Current State: 65:[96, 31], Operations: ['58+4=62', '62/2=31'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 2, 74, 72 ]
53
[ "15+74=89", "72/2=36", "89-36=53" ]
Current State: 53:[15, 2, 74, 72], Operations: [] Exploring Operation: 15+74=89, Resulting Numbers: [2, 72, 89] Generated Node #2: [2, 72, 89] from Operation: 15+74=89 Current State: 53:[2, 72, 89], Operations: ['15+74=89'] Exploring Operation: 72/2=36, Resulting Numbers: [89, 36] Generated Node #3: [89, 36] from Operation: 72/2=36 Current State: 53:[89, 36], Operations: ['15+74=89', '72/2=36'] Exploring Operation: 89-36=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 48, 40, 91, 4 ]
59
[ "48-40=8", "4*8=32", "91-32=59" ]
Current State: 59:[48, 40, 91, 4], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [91, 4, 8] Generated Node #2: [91, 4, 8] from Operation: 48-40=8 Current State: 59:[91, 4, 8], Operations: ['48-40=8'] Exploring Operation: 4*8=32, Resulting Numbers: [91, 32] Generated Node #3: [91, 32] from Operation: 4*8=32 Current State: 59:[91, 32], Operations: ['48-40=8', '4*8=32'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 14, 5, 77 ]
12
[ "46+14=60", "77-5=72", "72-60=12" ]
Current State: 12:[46, 14, 5, 77], Operations: [] Exploring Operation: 46+14=60, Resulting Numbers: [5, 77, 60] Generated Node #2: [5, 77, 60] from Operation: 46+14=60 Current State: 12:[5, 77, 60], Operations: ['46+14=60'] Exploring Operation: 77-5=72, Resulting Numbers: [60, 72] Generated Node #3: [60, 72] from Operation: 77-5=72 Current State: 12:[60, 72], Operations: ['46+14=60', '77-5=72'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 80, 60, 29 ]
49
[ "1*80=80", "60-29=31", "80-31=49" ]
Current State: 49:[1, 80, 60, 29], Operations: [] Exploring Operation: 1*80=80, Resulting Numbers: [60, 29, 80] Generated Node #2: [60, 29, 80] from Operation: 1*80=80 Current State: 49:[60, 29, 80], Operations: ['1*80=80'] Exploring Operation: 60-29=31, Resulting Numbers: [80, 31] Generated Node #3: [80, 31] from Operation: 60-29=31 Current State: 49:[80, 31], Operations: ['1*80=80', '60-29=31'] Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 76, 27, 48 ]
41
[ "76-56=20", "48-27=21", "20+21=41" ]
Current State: 41:[56, 76, 27, 48], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [27, 48, 20] Generated Node #2: [27, 48, 20] from Operation: 76-56=20 Current State: 41:[27, 48, 20], Operations: ['76-56=20'] Exploring Operation: 48-27=21, Resulting Numbers: [20, 21] Generated Node #3: [20, 21] from Operation: 48-27=21 Current State: 41:[20, 21], Operations: ['76-56=20', '48-27=21'] Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 20, 35, 50 ]
71
[ "90*20=1800", "1800/50=36", "35+36=71" ]
Current State: 71:[90, 20, 35, 50], Operations: [] Exploring Operation: 90*20=1800, Resulting Numbers: [35, 50, 1800] Generated Node #2: [35, 50, 1800] from Operation: 90*20=1800 Current State: 71:[35, 50, 1800], Operations: ['90*20=1800'] Exploring Operation: 1800/50=36, Resulting Numbers: [35, 36] Generated Node #3: [35, 36] from Operation: 1800/50=36 Current State: 71:[35, 36], Operations: ['90*20=1800', '1800/50=36'] Exploring Operation: 35+36=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 59, 4, 52 ]
50
[ "59-53=6", "4+52=56", "56-6=50" ]
Current State: 50:[53, 59, 4, 52], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [4, 52, 6] Generated Node #2: [4, 52, 6] from Operation: 59-53=6 Current State: 50:[4, 52, 6], Operations: ['59-53=6'] Exploring Operation: 4+52=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 4+52=56 Current State: 50:[6, 56], Operations: ['59-53=6', '4+52=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 51, 49, 35, 27 ]
10
[ "51-49=2", "35-27=8", "2+8=10" ]
Current State: 10:[51, 49, 35, 27], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [35, 27, 2] Generated Node #2: [35, 27, 2] from Operation: 51-49=2 Current State: 10:[35, 27, 2], Operations: ['51-49=2'] Exploring Operation: 35-27=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 35-27=8 Current State: 10:[2, 8], Operations: ['51-49=2', '35-27=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 45, 91, 71, 95 ]
22
[ "91-45=46", "95-71=24", "46-24=22" ]
Current State: 22:[45, 91, 71, 95], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [71, 95, 46] Generated Node #2: [71, 95, 46] from Operation: 91-45=46 Current State: 22:[71, 95, 46], Operations: ['91-45=46'] Exploring Operation: 95-71=24, Resulting Numbers: [46, 24] Generated Node #3: [46, 24] from Operation: 95-71=24 Current State: 22:[46, 24], Operations: ['91-45=46', '95-71=24'] Exploring Operation: 46-24=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 80, 94, 73, 13 ]
19
[ "80+94=174", "73+174=247", "247/13=19" ]
Current State: 19:[80, 94, 73, 13], Operations: [] Exploring Operation: 80+94=174, Resulting Numbers: [73, 13, 174] Generated Node #2: [73, 13, 174] from Operation: 80+94=174 Current State: 19:[73, 13, 174], Operations: ['80+94=174'] Exploring Operation: 73+174=247, Resulting Numbers: [13, 247] Generated Node #3: [13, 247] from Operation: 73+174=247 Current State: 19:[13, 247], Operations: ['80+94=174', '73+174=247'] Exploring Operation: 247/13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 71, 68, 60 ]
47
[ "71-16=55", "68-60=8", "55-8=47" ]
Current State: 47:[16, 71, 68, 60], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [68, 60, 55] Generated Node #2: [68, 60, 55] from Operation: 71-16=55 Current State: 47:[68, 60, 55], Operations: ['71-16=55'] Exploring Operation: 68-60=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 68-60=8 Current State: 47:[55, 8], Operations: ['71-16=55', '68-60=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 47, 21, 34, 84 ]
63
[ "47+34=81", "84-81=3", "21*3=63" ]
Current State: 63:[47, 21, 34, 84], Operations: [] Exploring Operation: 47+34=81, Resulting Numbers: [21, 84, 81] Generated Node #2: [21, 84, 81] from Operation: 47+34=81 Current State: 63:[21, 84, 81], Operations: ['47+34=81'] Exploring Operation: 84-81=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 84-81=3 Current State: 63:[21, 3], Operations: ['47+34=81', '84-81=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 71, 9, 33 ]
15
[ "71-44=27", "9+33=42", "42-27=15" ]
Current State: 15:[44, 71, 9, 33], Operations: [] Exploring Operation: 71-44=27, Resulting Numbers: [9, 33, 27] Generated Node #2: [9, 33, 27] from Operation: 71-44=27 Current State: 15:[9, 33, 27], Operations: ['71-44=27'] Exploring Operation: 9+33=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 9+33=42 Current State: 15:[27, 42], Operations: ['71-44=27', '9+33=42'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 32, 80, 89, 2 ]
82
[ "80-32=48", "89-48=41", "2*41=82" ]
Current State: 82:[32, 80, 89, 2], Operations: [] Exploring Operation: 80-32=48, Resulting Numbers: [89, 2, 48] Generated Node #2: [89, 2, 48] from Operation: 80-32=48 Current State: 82:[89, 2, 48], Operations: ['80-32=48'] Exploring Operation: 89-48=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 89-48=41 Current State: 82:[2, 41], Operations: ['80-32=48', '89-48=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 26, 69, 48 ]
63
[ "28+26=54", "69+48=117", "117-54=63" ]
Current State: 63:[28, 26, 69, 48], Operations: [] Exploring Operation: 28+26=54, Resulting Numbers: [69, 48, 54] Generated Node #2: [69, 48, 54] from Operation: 28+26=54 Current State: 63:[69, 48, 54], Operations: ['28+26=54'] Exploring Operation: 69+48=117, Resulting Numbers: [54, 117] Generated Node #3: [54, 117] from Operation: 69+48=117 Current State: 63:[54, 117], Operations: ['28+26=54', '69+48=117'] Exploring Operation: 117-54=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 9, 72, 70 ]
66
[ "4+70=74", "72/9=8", "74-8=66" ]
Current State: 66:[4, 9, 72, 70], Operations: [] Exploring Operation: 4+70=74, Resulting Numbers: [9, 72, 74] Generated Node #2: [9, 72, 74] from Operation: 4+70=74 Current State: 66:[9, 72, 74], Operations: ['4+70=74'] Exploring Operation: 72/9=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 72/9=8 Current State: 66:[74, 8], Operations: ['4+70=74', '72/9=8'] Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 17, 25, 29, 26 ]
45
[ "17+25=42", "29-26=3", "42+3=45" ]
Current State: 45:[17, 25, 29, 26], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [29, 26, 42] Generated Node #2: [29, 26, 42] from Operation: 17+25=42 Current State: 45:[29, 26, 42], Operations: ['17+25=42'] Exploring Operation: 29-26=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 29-26=3 Current State: 45:[42, 3], Operations: ['17+25=42', '29-26=3'] Exploring Operation: 42+3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 87, 1, 40, 78 ]
85
[ "40-1=39", "78/39=2", "87-2=85" ]
Current State: 85:[87, 1, 40, 78], Operations: [] Exploring Operation: 40-1=39, Resulting Numbers: [87, 78, 39] Generated Node #2: [87, 78, 39] from Operation: 40-1=39 Current State: 85:[87, 78, 39], Operations: ['40-1=39'] Exploring Operation: 78/39=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 78/39=2 Current State: 85:[87, 2], Operations: ['40-1=39', '78/39=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 58, 33, 71, 70 ]
24
[ "58-33=25", "71-70=1", "25-1=24" ]
Current State: 24:[58, 33, 71, 70], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [71, 70, 25] Generated Node #2: [71, 70, 25] from Operation: 58-33=25 Current State: 24:[71, 70, 25], Operations: ['58-33=25'] Exploring Operation: 71-70=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 71-70=1 Current State: 24:[25, 1], Operations: ['58-33=25', '71-70=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 75, 17, 3 ]
22
[ "38*3=114", "75+17=92", "114-92=22" ]
Current State: 22:[38, 75, 17, 3], Operations: [] Exploring Operation: 38*3=114, Resulting Numbers: [75, 17, 114] Generated Node #2: [75, 17, 114] from Operation: 38*3=114 Current State: 22:[75, 17, 114], Operations: ['38*3=114'] Exploring Operation: 75+17=92, Resulting Numbers: [114, 92] Generated Node #3: [114, 92] from Operation: 75+17=92 Current State: 22:[114, 92], Operations: ['38*3=114', '75+17=92'] Exploring Operation: 114-92=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 78, 33, 30 ]
85
[ "20*78=1560", "1560/30=52", "33+52=85" ]
Current State: 85:[20, 78, 33, 30], Operations: [] Exploring Operation: 20*78=1560, Resulting Numbers: [33, 30, 1560] Generated Node #2: [33, 30, 1560] from Operation: 20*78=1560 Current State: 85:[33, 30, 1560], Operations: ['20*78=1560'] Exploring Operation: 1560/30=52, Resulting Numbers: [33, 52] Generated Node #3: [33, 52] from Operation: 1560/30=52 Current State: 85:[33, 52], Operations: ['20*78=1560', '1560/30=52'] Exploring Operation: 33+52=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 21, 20, 5 ]
11
[ "40/20=2", "5*2=10", "21-10=11" ]
Current State: 11:[40, 21, 20, 5], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [21, 5, 2] Generated Node #2: [21, 5, 2] from Operation: 40/20=2 Current State: 11:[21, 5, 2], Operations: ['40/20=2'] Exploring Operation: 5*2=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 5*2=10 Current State: 11:[21, 10], Operations: ['40/20=2', '5*2=10'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 91, 92, 65, 94 ]
52
[ "91-65=26", "94-92=2", "26*2=52" ]
Current State: 52:[91, 92, 65, 94], Operations: [] Exploring Operation: 91-65=26, Resulting Numbers: [92, 94, 26] Generated Node #2: [92, 94, 26] from Operation: 91-65=26 Current State: 52:[92, 94, 26], Operations: ['91-65=26'] Exploring Operation: 94-92=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 94-92=2 Current State: 52:[26, 2], Operations: ['91-65=26', '94-92=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 81, 51, 17, 57 ]
62
[ "51/17=3", "57/3=19", "81-19=62" ]
Current State: 62:[81, 51, 17, 57], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [81, 57, 3] Generated Node #2: [81, 57, 3] from Operation: 51/17=3 Current State: 62:[81, 57, 3], Operations: ['51/17=3'] Exploring Operation: 57/3=19, Resulting Numbers: [81, 19] Generated Node #3: [81, 19] from Operation: 57/3=19 Current State: 62:[81, 19], Operations: ['51/17=3', '57/3=19'] Exploring Operation: 81-19=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 60, 59, 36, 10 ]
46
[ "60-59=1", "36+10=46", "1*46=46" ]
Current State: 46:[60, 59, 36, 10], Operations: [] Exploring Operation: 60-59=1, Resulting Numbers: [36, 10, 1] Generated Node #2: [36, 10, 1] from Operation: 60-59=1 Current State: 46:[36, 10, 1], Operations: ['60-59=1'] Exploring Operation: 36+10=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 36+10=46 Current State: 46:[1, 46], Operations: ['60-59=1', '36+10=46'] Exploring Operation: 1*46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 85, 89, 19, 21 ]
87
[ "85+89=174", "21-19=2", "174/2=87" ]
Current State: 87:[85, 89, 19, 21], Operations: [] Exploring Operation: 85+89=174, Resulting Numbers: [19, 21, 174] Generated Node #2: [19, 21, 174] from Operation: 85+89=174 Current State: 87:[19, 21, 174], Operations: ['85+89=174'] Exploring Operation: 21-19=2, Resulting Numbers: [174, 2] Generated Node #3: [174, 2] from Operation: 21-19=2 Current State: 87:[174, 2], Operations: ['85+89=174', '21-19=2'] Exploring Operation: 174/2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 49, 55, 39, 70 ]
37
[ "55-49=6", "70-39=31", "6+31=37" ]
Current State: 37:[49, 55, 39, 70], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [39, 70, 6] Generated Node #2: [39, 70, 6] from Operation: 55-49=6 Current State: 37:[39, 70, 6], Operations: ['55-49=6'] Exploring Operation: 70-39=31, Resulting Numbers: [6, 31] Generated Node #3: [6, 31] from Operation: 70-39=31 Current State: 37:[6, 31], Operations: ['55-49=6', '70-39=31'] Exploring Operation: 6+31=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 37, 59, 39 ]
22
[ "83+37=120", "59+39=98", "120-98=22" ]
Current State: 22:[83, 37, 59, 39], Operations: [] Exploring Operation: 83+37=120, Resulting Numbers: [59, 39, 120] Generated Node #2: [59, 39, 120] from Operation: 83+37=120 Current State: 22:[59, 39, 120], Operations: ['83+37=120'] Exploring Operation: 59+39=98, Resulting Numbers: [120, 98] Generated Node #3: [120, 98] from Operation: 59+39=98 Current State: 22:[120, 98], Operations: ['83+37=120', '59+39=98'] Exploring Operation: 120-98=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 76, 20, 64, 54 ]
81
[ "76+20=96", "54*96=5184", "5184/64=81" ]
Current State: 81:[76, 20, 64, 54], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [64, 54, 96] Generated Node #2: [64, 54, 96] from Operation: 76+20=96 Current State: 81:[64, 54, 96], Operations: ['76+20=96'] Exploring Operation: 54*96=5184, Resulting Numbers: [64, 5184] Generated Node #3: [64, 5184] from Operation: 54*96=5184 Current State: 81:[64, 5184], Operations: ['76+20=96', '54*96=5184'] Exploring Operation: 5184/64=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 36, 39, 31, 43 ]
71
[ "36*39=1404", "31*43=1333", "1404-1333=71" ]
Current State: 71:[36, 39, 31, 43], Operations: [] Exploring Operation: 36*39=1404, Resulting Numbers: [31, 43, 1404] Generated Node #2: [31, 43, 1404] from Operation: 36*39=1404 Current State: 71:[31, 43, 1404], Operations: ['36*39=1404'] Exploring Operation: 31*43=1333, Resulting Numbers: [1404, 1333] Generated Node #3: [1404, 1333] from Operation: 31*43=1333 Current State: 71:[1404, 1333], Operations: ['36*39=1404', '31*43=1333'] Exploring Operation: 1404-1333=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 58, 63, 66, 69 ]
35
[ "66-63=3", "69/3=23", "58-23=35" ]
Current State: 35:[58, 63, 66, 69], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [58, 69, 3] Generated Node #2: [58, 69, 3] from Operation: 66-63=3 Current State: 35:[58, 69, 3], Operations: ['66-63=3'] Exploring Operation: 69/3=23, Resulting Numbers: [58, 23] Generated Node #3: [58, 23] from Operation: 69/3=23 Current State: 35:[58, 23], Operations: ['66-63=3', '69/3=23'] Exploring Operation: 58-23=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 26, 21, 10, 60 ]
55
[ "26-21=5", "60-10=50", "5+50=55" ]
Current State: 55:[26, 21, 10, 60], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [10, 60, 5] Generated Node #2: [10, 60, 5] from Operation: 26-21=5 Current State: 55:[10, 60, 5], Operations: ['26-21=5'] Exploring Operation: 60-10=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 60-10=50 Current State: 55:[5, 50], Operations: ['26-21=5', '60-10=50'] Exploring Operation: 5+50=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 53, 60, 4, 8 ]
38
[ "8-4=4", "60/4=15", "53-15=38" ]
Current State: 38:[53, 60, 4, 8], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [53, 60, 4] Generated Node #2: [53, 60, 4] from Operation: 8-4=4 Current State: 38:[53, 60, 4], Operations: ['8-4=4'] Exploring Operation: 60/4=15, Resulting Numbers: [53, 15] Generated Node #3: [53, 15] from Operation: 60/4=15 Current State: 38:[53, 15], Operations: ['8-4=4', '60/4=15'] Exploring Operation: 53-15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 29, 75, 31 ]
35
[ "38-29=9", "75-31=44", "44-9=35" ]
Current State: 35:[38, 29, 75, 31], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [75, 31, 9] Generated Node #2: [75, 31, 9] from Operation: 38-29=9 Current State: 35:[75, 31, 9], Operations: ['38-29=9'] Exploring Operation: 75-31=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 75-31=44 Current State: 35:[9, 44], Operations: ['38-29=9', '75-31=44'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 19, 78, 52 ]
36
[ "19-9=10", "78-52=26", "10+26=36" ]
Current State: 36:[9, 19, 78, 52], Operations: [] Exploring Operation: 19-9=10, Resulting Numbers: [78, 52, 10] Generated Node #2: [78, 52, 10] from Operation: 19-9=10 Current State: 36:[78, 52, 10], Operations: ['19-9=10'] Exploring Operation: 78-52=26, Resulting Numbers: [10, 26] Generated Node #3: [10, 26] from Operation: 78-52=26 Current State: 36:[10, 26], Operations: ['19-9=10', '78-52=26'] Exploring Operation: 10+26=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 75, 23, 29 ]
66
[ "75-3=72", "29-23=6", "72-6=66" ]
Current State: 66:[3, 75, 23, 29], Operations: [] Exploring Operation: 75-3=72, Resulting Numbers: [23, 29, 72] Generated Node #2: [23, 29, 72] from Operation: 75-3=72 Current State: 66:[23, 29, 72], Operations: ['75-3=72'] Exploring Operation: 29-23=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 29-23=6 Current State: 66:[72, 6], Operations: ['75-3=72', '29-23=6'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 46, 57, 26, 9 ]
13
[ "57-46=11", "11-9=2", "26/2=13" ]
Current State: 13:[46, 57, 26, 9], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [26, 9, 11] Generated Node #2: [26, 9, 11] from Operation: 57-46=11 Current State: 13:[26, 9, 11], Operations: ['57-46=11'] Exploring Operation: 11-9=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 11-9=2 Current State: 13:[26, 2], Operations: ['57-46=11', '11-9=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 57, 3, 25, 36 ]
49
[ "57+3=60", "36-25=11", "60-11=49" ]
Current State: 49:[57, 3, 25, 36], Operations: [] Exploring Operation: 57+3=60, Resulting Numbers: [25, 36, 60] Generated Node #2: [25, 36, 60] from Operation: 57+3=60 Current State: 49:[25, 36, 60], Operations: ['57+3=60'] Exploring Operation: 36-25=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 36-25=11 Current State: 49:[60, 11], Operations: ['57+3=60', '36-25=11'] Exploring Operation: 60-11=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 68, 65, 81, 28 ]
23
[ "81-68=13", "65/13=5", "28-5=23" ]
Current State: 23:[68, 65, 81, 28], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [65, 28, 13] Generated Node #2: [65, 28, 13] from Operation: 81-68=13 Current State: 23:[65, 28, 13], Operations: ['81-68=13'] Exploring Operation: 65/13=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 65/13=5 Current State: 23:[28, 5], Operations: ['81-68=13', '65/13=5'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 48, 41, 51 ]
30
[ "48-8=40", "51-41=10", "40-10=30" ]
Current State: 30:[8, 48, 41, 51], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [41, 51, 40] Generated Node #2: [41, 51, 40] from Operation: 48-8=40 Current State: 30:[41, 51, 40], Operations: ['48-8=40'] Exploring Operation: 51-41=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 51-41=10 Current State: 30:[40, 10], Operations: ['48-8=40', '51-41=10'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 72, 85, 21, 49 ]
23
[ "85-49=36", "72/36=2", "21+2=23" ]
Current State: 23:[72, 85, 21, 49], Operations: [] Exploring Operation: 85-49=36, Resulting Numbers: [72, 21, 36] Generated Node #2: [72, 21, 36] from Operation: 85-49=36 Current State: 23:[72, 21, 36], Operations: ['85-49=36'] Exploring Operation: 72/36=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 72/36=2 Current State: 23:[21, 2], Operations: ['85-49=36', '72/36=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 37, 59, 55 ]
30
[ "59-55=4", "28/4=7", "37-7=30" ]
Current State: 30:[28, 37, 59, 55], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [28, 37, 4] Generated Node #2: [28, 37, 4] from Operation: 59-55=4 Current State: 30:[28, 37, 4], Operations: ['59-55=4'] Exploring Operation: 28/4=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 28/4=7 Current State: 30:[37, 7], Operations: ['59-55=4', '28/4=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 57, 18, 74 ]
46
[ "57-55=2", "18+74=92", "92/2=46" ]
Current State: 46:[55, 57, 18, 74], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [18, 74, 2] Generated Node #2: [18, 74, 2] from Operation: 57-55=2 Current State: 46:[18, 74, 2], Operations: ['57-55=2'] Exploring Operation: 18+74=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 18+74=92 Current State: 46:[2, 92], Operations: ['57-55=2', '18+74=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 27, 99, 38 ]
41
[ "6+27=33", "99/33=3", "38+3=41" ]
Current State: 41:[6, 27, 99, 38], Operations: [] Exploring Operation: 6+27=33, Resulting Numbers: [99, 38, 33] Generated Node #2: [99, 38, 33] from Operation: 6+27=33 Current State: 41:[99, 38, 33], Operations: ['6+27=33'] Exploring Operation: 99/33=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 99/33=3 Current State: 41:[38, 3], Operations: ['6+27=33', '99/33=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 53, 43, 57 ]
30
[ "41*43=1763", "1763-53=1710", "1710/57=30" ]
Current State: 30:[41, 53, 43, 57], Operations: [] Exploring Operation: 41*43=1763, Resulting Numbers: [53, 57, 1763] Generated Node #2: [53, 57, 1763] from Operation: 41*43=1763 Current State: 30:[53, 57, 1763], Operations: ['41*43=1763'] Exploring Operation: 1763-53=1710, Resulting Numbers: [57, 1710] Generated Node #3: [57, 1710] from Operation: 1763-53=1710 Current State: 30:[57, 1710], Operations: ['41*43=1763', '1763-53=1710'] Exploring Operation: 1710/57=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 33, 51, 5, 29 ]
11
[ "33+51=84", "84-29=55", "55/5=11" ]
Current State: 11:[33, 51, 5, 29], Operations: [] Exploring Operation: 33+51=84, Resulting Numbers: [5, 29, 84] Generated Node #2: [5, 29, 84] from Operation: 33+51=84 Current State: 11:[5, 29, 84], Operations: ['33+51=84'] Exploring Operation: 84-29=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 84-29=55 Current State: 11:[5, 55], Operations: ['33+51=84', '84-29=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 64, 6, 97, 11 ]
25
[ "64+97=161", "161-11=150", "150/6=25" ]
Current State: 25:[64, 6, 97, 11], Operations: [] Exploring Operation: 64+97=161, Resulting Numbers: [6, 11, 161] Generated Node #2: [6, 11, 161] from Operation: 64+97=161 Current State: 25:[6, 11, 161], Operations: ['64+97=161'] Exploring Operation: 161-11=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 161-11=150 Current State: 25:[6, 150], Operations: ['64+97=161', '161-11=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 41, 10, 19 ]
76
[ "26+41=67", "19-10=9", "67+9=76" ]
Current State: 76:[26, 41, 10, 19], Operations: [] Exploring Operation: 26+41=67, Resulting Numbers: [10, 19, 67] Generated Node #2: [10, 19, 67] from Operation: 26+41=67 Current State: 76:[10, 19, 67], Operations: ['26+41=67'] Exploring Operation: 19-10=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 19-10=9 Current State: 76:[67, 9], Operations: ['26+41=67', '19-10=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 10, 30, 92, 30 ]
10
[ "30-30=0", "92*0=0", "10+0=10" ]
Current State: 10:[10, 30, 92, 30], Operations: [] Exploring Operation: 30-30=0, Resulting Numbers: [10, 92, 0] Generated Node #2: [10, 92, 0] from Operation: 30-30=0 Current State: 10:[10, 92, 0], Operations: ['30-30=0'] Exploring Operation: 92*0=0, Resulting Numbers: [10, 0] Generated Node #3: [10, 0] from Operation: 92*0=0 Current State: 10:[10, 0], Operations: ['30-30=0', '92*0=0'] Exploring Operation: 10+0=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 90, 74, 61 ]
90
[ "74-14=60", "61-60=1", "90*1=90" ]
Current State: 90:[14, 90, 74, 61], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [90, 61, 60] Generated Node #2: [90, 61, 60] from Operation: 74-14=60 Current State: 90:[90, 61, 60], Operations: ['74-14=60'] Exploring Operation: 61-60=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 61-60=1 Current State: 90:[90, 1], Operations: ['74-14=60', '61-60=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 31, 24, 1 ]
55
[ "49+31=80", "24+1=25", "80-25=55" ]
Current State: 55:[49, 31, 24, 1], Operations: [] Exploring Operation: 49+31=80, Resulting Numbers: [24, 1, 80] Generated Node #2: [24, 1, 80] from Operation: 49+31=80 Current State: 55:[24, 1, 80], Operations: ['49+31=80'] Exploring Operation: 24+1=25, Resulting Numbers: [80, 25] Generated Node #3: [80, 25] from Operation: 24+1=25 Current State: 55:[80, 25], Operations: ['49+31=80', '24+1=25'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 98, 43, 95, 97 ]
57
[ "98-43=55", "97-95=2", "55+2=57" ]
Current State: 57:[98, 43, 95, 97], Operations: [] Exploring Operation: 98-43=55, Resulting Numbers: [95, 97, 55] Generated Node #2: [95, 97, 55] from Operation: 98-43=55 Current State: 57:[95, 97, 55], Operations: ['98-43=55'] Exploring Operation: 97-95=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 97-95=2 Current State: 57:[55, 2], Operations: ['98-43=55', '97-95=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 79, 50, 88 ]
52
[ "93-79=14", "88-50=38", "14+38=52" ]
Current State: 52:[93, 79, 50, 88], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [50, 88, 14] Generated Node #2: [50, 88, 14] from Operation: 93-79=14 Current State: 52:[50, 88, 14], Operations: ['93-79=14'] Exploring Operation: 88-50=38, Resulting Numbers: [14, 38] Generated Node #3: [14, 38] from Operation: 88-50=38 Current State: 52:[14, 38], Operations: ['93-79=14', '88-50=38'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 92, 72, 76 ]
40
[ "96+92=188", "72+76=148", "188-148=40" ]
Current State: 40:[96, 92, 72, 76], Operations: [] Exploring Operation: 96+92=188, Resulting Numbers: [72, 76, 188] Generated Node #2: [72, 76, 188] from Operation: 96+92=188 Current State: 40:[72, 76, 188], Operations: ['96+92=188'] Exploring Operation: 72+76=148, Resulting Numbers: [188, 148] Generated Node #3: [188, 148] from Operation: 72+76=148 Current State: 40:[188, 148], Operations: ['96+92=188', '72+76=148'] Exploring Operation: 188-148=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 5, 82, 6 ]
97
[ "29*6=174", "82-5=77", "174-77=97" ]
Current State: 97:[29, 5, 82, 6], Operations: [] Exploring Operation: 29*6=174, Resulting Numbers: [5, 82, 174] Generated Node #2: [5, 82, 174] from Operation: 29*6=174 Current State: 97:[5, 82, 174], Operations: ['29*6=174'] Exploring Operation: 82-5=77, Resulting Numbers: [174, 77] Generated Node #3: [174, 77] from Operation: 82-5=77 Current State: 97:[174, 77], Operations: ['29*6=174', '82-5=77'] Exploring Operation: 174-77=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 8, 25, 97 ]
40
[ "90-8=82", "25+97=122", "122-82=40" ]
Current State: 40:[90, 8, 25, 97], Operations: [] Exploring Operation: 90-8=82, Resulting Numbers: [25, 97, 82] Generated Node #2: [25, 97, 82] from Operation: 90-8=82 Current State: 40:[25, 97, 82], Operations: ['90-8=82'] Exploring Operation: 25+97=122, Resulting Numbers: [82, 122] Generated Node #3: [82, 122] from Operation: 25+97=122 Current State: 40:[82, 122], Operations: ['90-8=82', '25+97=122'] Exploring Operation: 122-82=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 36, 77, 53 ]
86
[ "36*77=2772", "2772/84=33", "53+33=86" ]
Current State: 86:[84, 36, 77, 53], Operations: [] Exploring Operation: 36*77=2772, Resulting Numbers: [84, 53, 2772] Generated Node #2: [84, 53, 2772] from Operation: 36*77=2772 Current State: 86:[84, 53, 2772], Operations: ['36*77=2772'] Exploring Operation: 2772/84=33, Resulting Numbers: [53, 33] Generated Node #3: [53, 33] from Operation: 2772/84=33 Current State: 86:[53, 33], Operations: ['36*77=2772', '2772/84=33'] Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 76, 76, 42 ]
32
[ "76/38=2", "76-42=34", "34-2=32" ]
Current State: 32:[38, 76, 76, 42], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [42, 2] Generated Node #2: [42, 2] from Operation: 76/38=2 Current State: 32:[42, 2], Operations: ['76/38=2'] Exploring Operation: 76-42=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 76-42=34 Current State: 32:[2, 34], Operations: ['76/38=2', '76-42=34'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 28, 57, 39 ]
92
[ "28/7=4", "57+39=96", "96-4=92" ]
Current State: 92:[7, 28, 57, 39], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [57, 39, 4] Generated Node #2: [57, 39, 4] from Operation: 28/7=4 Current State: 92:[57, 39, 4], Operations: ['28/7=4'] Exploring Operation: 57+39=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 57+39=96 Current State: 92:[4, 96], Operations: ['28/7=4', '57+39=96'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 7, 15, 80 ]
97
[ "39-7=32", "80-15=65", "32+65=97" ]
Current State: 97:[39, 7, 15, 80], Operations: [] Exploring Operation: 39-7=32, Resulting Numbers: [15, 80, 32] Generated Node #2: [15, 80, 32] from Operation: 39-7=32 Current State: 97:[15, 80, 32], Operations: ['39-7=32'] Exploring Operation: 80-15=65, Resulting Numbers: [32, 65] Generated Node #3: [32, 65] from Operation: 80-15=65 Current State: 97:[32, 65], Operations: ['39-7=32', '80-15=65'] Exploring Operation: 32+65=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 31, 44, 19, 99 ]
67
[ "44-31=13", "99-19=80", "80-13=67" ]
Current State: 67:[31, 44, 19, 99], Operations: [] Exploring Operation: 44-31=13, Resulting Numbers: [19, 99, 13] Generated Node #2: [19, 99, 13] from Operation: 44-31=13 Current State: 67:[19, 99, 13], Operations: ['44-31=13'] Exploring Operation: 99-19=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 99-19=80 Current State: 67:[13, 80], Operations: ['44-31=13', '99-19=80'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 48, 52, 20, 90 ]
95
[ "48+52=100", "100/20=5", "90+5=95" ]
Current State: 95:[48, 52, 20, 90], Operations: [] Exploring Operation: 48+52=100, Resulting Numbers: [20, 90, 100] Generated Node #2: [20, 90, 100] from Operation: 48+52=100 Current State: 95:[20, 90, 100], Operations: ['48+52=100'] Exploring Operation: 100/20=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 100/20=5 Current State: 95:[90, 5], Operations: ['48+52=100', '100/20=5'] Exploring Operation: 90+5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 63, 68, 48, 68 ]
15
[ "63+68=131", "48+68=116", "131-116=15" ]
Current State: 15:[63, 68, 48, 68], Operations: [] Exploring Operation: 63+68=131, Resulting Numbers: [48, 131] Generated Node #2: [48, 131] from Operation: 63+68=131 Current State: 15:[48, 131], Operations: ['63+68=131'] Exploring Operation: 48+68=116, Resulting Numbers: [131, 116] Generated Node #3: [131, 116] from Operation: 48+68=116 Current State: 15:[131, 116], Operations: ['63+68=131', '48+68=116'] Exploring Operation: 131-116=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 42, 15, 80 ]
62
[ "45-42=3", "80-15=65", "65-3=62" ]
Current State: 62:[45, 42, 15, 80], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [15, 80, 3] Generated Node #2: [15, 80, 3] from Operation: 45-42=3 Current State: 62:[15, 80, 3], Operations: ['45-42=3'] Exploring Operation: 80-15=65, Resulting Numbers: [3, 65] Generated Node #3: [3, 65] from Operation: 80-15=65 Current State: 62:[3, 65], Operations: ['45-42=3', '80-15=65'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 18, 75, 12, 7 ]
33
[ "18-12=6", "7*6=42", "75-42=33" ]
Current State: 33:[18, 75, 12, 7], Operations: [] Exploring Operation: 18-12=6, Resulting Numbers: [75, 7, 6] Generated Node #2: [75, 7, 6] from Operation: 18-12=6 Current State: 33:[75, 7, 6], Operations: ['18-12=6'] Exploring Operation: 7*6=42, Resulting Numbers: [75, 42] Generated Node #3: [75, 42] from Operation: 7*6=42 Current State: 33:[75, 42], Operations: ['18-12=6', '7*6=42'] Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 15, 5, 46, 28 ]
79
[ "15+46=61", "5*28=140", "140-61=79" ]
Current State: 79:[15, 5, 46, 28], Operations: [] Exploring Operation: 15+46=61, Resulting Numbers: [5, 28, 61] Generated Node #2: [5, 28, 61] from Operation: 15+46=61 Current State: 79:[5, 28, 61], Operations: ['15+46=61'] Exploring Operation: 5*28=140, Resulting Numbers: [61, 140] Generated Node #3: [61, 140] from Operation: 5*28=140 Current State: 79:[61, 140], Operations: ['15+46=61', '5*28=140'] Exploring Operation: 140-61=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 3, 43, 14 ]
93
[ "8+43=51", "3*14=42", "51+42=93" ]
Current State: 93:[8, 3, 43, 14], Operations: [] Exploring Operation: 8+43=51, Resulting Numbers: [3, 14, 51] Generated Node #2: [3, 14, 51] from Operation: 8+43=51 Current State: 93:[3, 14, 51], Operations: ['8+43=51'] Exploring Operation: 3*14=42, Resulting Numbers: [51, 42] Generated Node #3: [51, 42] from Operation: 3*14=42 Current State: 93:[51, 42], Operations: ['8+43=51', '3*14=42'] Exploring Operation: 51+42=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 70, 6, 66, 36 ]
18
[ "70-6=64", "66-64=2", "36/2=18" ]
Current State: 18:[70, 6, 66, 36], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [66, 36, 64] Generated Node #2: [66, 36, 64] from Operation: 70-6=64 Current State: 18:[66, 36, 64], Operations: ['70-6=64'] Exploring Operation: 66-64=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 66-64=2 Current State: 18:[36, 2], Operations: ['70-6=64', '66-64=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 66, 33, 12 ]
81
[ "33+12=45", "45/3=15", "66+15=81" ]
Current State: 81:[3, 66, 33, 12], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [3, 66, 45] Generated Node #2: [3, 66, 45] from Operation: 33+12=45 Current State: 81:[3, 66, 45], Operations: ['33+12=45'] Exploring Operation: 45/3=15, Resulting Numbers: [66, 15] Generated Node #3: [66, 15] from Operation: 45/3=15 Current State: 81:[66, 15], Operations: ['33+12=45', '45/3=15'] Exploring Operation: 66+15=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 43, 36, 68, 2 ]
59
[ "43-36=7", "68-2=66", "66-7=59" ]
Current State: 59:[43, 36, 68, 2], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [68, 2, 7] Generated Node #2: [68, 2, 7] from Operation: 43-36=7 Current State: 59:[68, 2, 7], Operations: ['43-36=7'] Exploring Operation: 68-2=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 68-2=66 Current State: 59:[7, 66], Operations: ['43-36=7', '68-2=66'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 20, 83, 71, 84 ]
92
[ "83-20=63", "71+84=155", "155-63=92" ]
Current State: 92:[20, 83, 71, 84], Operations: [] Exploring Operation: 83-20=63, Resulting Numbers: [71, 84, 63] Generated Node #2: [71, 84, 63] from Operation: 83-20=63 Current State: 92:[71, 84, 63], Operations: ['83-20=63'] Exploring Operation: 71+84=155, Resulting Numbers: [63, 155] Generated Node #3: [63, 155] from Operation: 71+84=155 Current State: 92:[63, 155], Operations: ['83-20=63', '71+84=155'] Exploring Operation: 155-63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 16, 1, 21, 46 ]
50
[ "16+1=17", "21+46=67", "67-17=50" ]
Current State: 50:[16, 1, 21, 46], Operations: [] Exploring Operation: 16+1=17, Resulting Numbers: [21, 46, 17] Generated Node #2: [21, 46, 17] from Operation: 16+1=17 Current State: 50:[21, 46, 17], Operations: ['16+1=17'] Exploring Operation: 21+46=67, Resulting Numbers: [17, 67] Generated Node #3: [17, 67] from Operation: 21+46=67 Current State: 50:[17, 67], Operations: ['16+1=17', '21+46=67'] Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 16, 13, 15, 67 ]
12
[ "67-15=52", "52/13=4", "16-4=12" ]
Current State: 12:[16, 13, 15, 67], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [16, 13, 52] Generated Node #2: [16, 13, 52] from Operation: 67-15=52 Current State: 12:[16, 13, 52], Operations: ['67-15=52'] Exploring Operation: 52/13=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 52/13=4 Current State: 12:[16, 4], Operations: ['67-15=52', '52/13=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 80, 9, 20, 14 ]
83
[ "80+9=89", "20-14=6", "89-6=83" ]
Current State: 83:[80, 9, 20, 14], Operations: [] Exploring Operation: 80+9=89, Resulting Numbers: [20, 14, 89] Generated Node #2: [20, 14, 89] from Operation: 80+9=89 Current State: 83:[20, 14, 89], Operations: ['80+9=89'] Exploring Operation: 20-14=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 20-14=6 Current State: 83:[89, 6], Operations: ['80+9=89', '20-14=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 58, 91, 7, 4 ]
79
[ "91-7=84", "84/4=21", "58+21=79" ]
Current State: 79:[58, 91, 7, 4], Operations: [] Exploring Operation: 91-7=84, Resulting Numbers: [58, 4, 84] Generated Node #2: [58, 4, 84] from Operation: 91-7=84 Current State: 79:[58, 4, 84], Operations: ['91-7=84'] Exploring Operation: 84/4=21, Resulting Numbers: [58, 21] Generated Node #3: [58, 21] from Operation: 84/4=21 Current State: 79:[58, 21], Operations: ['91-7=84', '84/4=21'] Exploring Operation: 58+21=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 67, 6, 22 ]
58
[ "32+22=54", "54/6=9", "67-9=58" ]
Current State: 58:[32, 67, 6, 22], Operations: [] Exploring Operation: 32+22=54, Resulting Numbers: [67, 6, 54] Generated Node #2: [67, 6, 54] from Operation: 32+22=54 Current State: 58:[67, 6, 54], Operations: ['32+22=54'] Exploring Operation: 54/6=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 54/6=9 Current State: 58:[67, 9], Operations: ['32+22=54', '54/6=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 50, 90, 21, 24 ]
40
[ "50*21=1050", "1050-90=960", "960/24=40" ]
Current State: 40:[50, 90, 21, 24], Operations: [] Exploring Operation: 50*21=1050, Resulting Numbers: [90, 24, 1050] Generated Node #2: [90, 24, 1050] from Operation: 50*21=1050 Current State: 40:[90, 24, 1050], Operations: ['50*21=1050'] Exploring Operation: 1050-90=960, Resulting Numbers: [24, 960] Generated Node #3: [24, 960] from Operation: 1050-90=960 Current State: 40:[24, 960], Operations: ['50*21=1050', '1050-90=960'] Exploring Operation: 960/24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 64, 4, 81, 3 ]
68
[ "64/4=16", "81+3=84", "84-16=68" ]
Current State: 68:[64, 4, 81, 3], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [81, 3, 16] Generated Node #2: [81, 3, 16] from Operation: 64/4=16 Current State: 68:[81, 3, 16], Operations: ['64/4=16'] Exploring Operation: 81+3=84, Resulting Numbers: [16, 84] Generated Node #3: [16, 84] from Operation: 81+3=84 Current State: 68:[16, 84], Operations: ['64/4=16', '81+3=84'] Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 23, 69, 91 ]
67
[ "66+23=89", "91-69=22", "89-22=67" ]
Current State: 67:[66, 23, 69, 91], Operations: [] Exploring Operation: 66+23=89, Resulting Numbers: [69, 91, 89] Generated Node #2: [69, 91, 89] from Operation: 66+23=89 Current State: 67:[69, 91, 89], Operations: ['66+23=89'] Exploring Operation: 91-69=22, Resulting Numbers: [89, 22] Generated Node #3: [89, 22] from Operation: 91-69=22 Current State: 67:[89, 22], Operations: ['66+23=89', '91-69=22'] Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 83, 78, 89 ]
53
[ "83*83=6889", "78*89=6942", "6942-6889=53" ]
Current State: 53:[83, 83, 78, 89], Operations: [] Exploring Operation: 83*83=6889, Resulting Numbers: [78, 89, 6889] Generated Node #2: [78, 89, 6889] from Operation: 83*83=6889 Current State: 53:[78, 89, 6889], Operations: ['83*83=6889'] Exploring Operation: 78*89=6942, Resulting Numbers: [6889, 6942] Generated Node #3: [6889, 6942] from Operation: 78*89=6942 Current State: 53:[6889, 6942], Operations: ['83*83=6889', '78*89=6942'] Exploring Operation: 6942-6889=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 57, 3, 46 ]
10
[ "57-4=53", "46-3=43", "53-43=10" ]
Current State: 10:[4, 57, 3, 46], Operations: [] Exploring Operation: 57-4=53, Resulting Numbers: [3, 46, 53] Generated Node #2: [3, 46, 53] from Operation: 57-4=53 Current State: 10:[3, 46, 53], Operations: ['57-4=53'] Exploring Operation: 46-3=43, Resulting Numbers: [53, 43] Generated Node #3: [53, 43] from Operation: 46-3=43 Current State: 10:[53, 43], Operations: ['57-4=53', '46-3=43'] Exploring Operation: 53-43=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 84, 19, 92 ]
53
[ "84-26=58", "19+92=111", "111-58=53" ]
Current State: 53:[26, 84, 19, 92], Operations: [] Exploring Operation: 84-26=58, Resulting Numbers: [19, 92, 58] Generated Node #2: [19, 92, 58] from Operation: 84-26=58 Current State: 53:[19, 92, 58], Operations: ['84-26=58'] Exploring Operation: 19+92=111, Resulting Numbers: [58, 111] Generated Node #3: [58, 111] from Operation: 19+92=111 Current State: 53:[58, 111], Operations: ['84-26=58', '19+92=111'] Exploring Operation: 111-58=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 69, 9, 90 ]
65
[ "40*9=360", "360/90=4", "69-4=65" ]
Current State: 65:[40, 69, 9, 90], Operations: [] Exploring Operation: 40*9=360, Resulting Numbers: [69, 90, 360] Generated Node #2: [69, 90, 360] from Operation: 40*9=360 Current State: 65:[69, 90, 360], Operations: ['40*9=360'] Exploring Operation: 360/90=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 360/90=4 Current State: 65:[69, 4], Operations: ['40*9=360', '360/90=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 47, 23, 34, 34 ]
71
[ "47+23=70", "34/34=1", "70+1=71" ]
Current State: 71:[47, 23, 34, 34], Operations: [] Exploring Operation: 47+23=70, Resulting Numbers: [34, 34, 70] Generated Node #2: [34, 34, 70] from Operation: 47+23=70 Current State: 71:[34, 34, 70], Operations: ['47+23=70'] Exploring Operation: 34/34=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 34/34=1 Current State: 71:[70, 1], Operations: ['47+23=70', '34/34=1'] Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 95, 37, 35 ]
94
[ "37-35=2", "95*2=190", "190-96=94" ]
Current State: 94:[96, 95, 37, 35], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [96, 95, 2] Generated Node #2: [96, 95, 2] from Operation: 37-35=2 Current State: 94:[96, 95, 2], Operations: ['37-35=2'] Exploring Operation: 95*2=190, Resulting Numbers: [96, 190] Generated Node #3: [96, 190] from Operation: 95*2=190 Current State: 94:[96, 190], Operations: ['37-35=2', '95*2=190'] Exploring Operation: 190-96=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 75, 88, 29, 16 ]
58
[ "88-75=13", "29+16=45", "13+45=58" ]
Current State: 58:[75, 88, 29, 16], Operations: [] Exploring Operation: 88-75=13, Resulting Numbers: [29, 16, 13] Generated Node #2: [29, 16, 13] from Operation: 88-75=13 Current State: 58:[29, 16, 13], Operations: ['88-75=13'] Exploring Operation: 29+16=45, Resulting Numbers: [13, 45] Generated Node #3: [13, 45] from Operation: 29+16=45 Current State: 58:[13, 45], Operations: ['88-75=13', '29+16=45'] Exploring Operation: 13+45=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 83, 43, 9 ]
14
[ "1*83=83", "43+83=126", "126/9=14" ]
Current State: 14:[1, 83, 43, 9], Operations: [] Exploring Operation: 1*83=83, Resulting Numbers: [43, 9, 83] Generated Node #2: [43, 9, 83] from Operation: 1*83=83 Current State: 14:[43, 9, 83], Operations: ['1*83=83'] Exploring Operation: 43+83=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 43+83=126 Current State: 14:[9, 126], Operations: ['1*83=83', '43+83=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 17, 93, 31 ]
92
[ "13+17=30", "93-31=62", "30+62=92" ]
Current State: 92:[13, 17, 93, 31], Operations: [] Exploring Operation: 13+17=30, Resulting Numbers: [93, 31, 30] Generated Node #2: [93, 31, 30] from Operation: 13+17=30 Current State: 92:[93, 31, 30], Operations: ['13+17=30'] Exploring Operation: 93-31=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 93-31=62 Current State: 92:[30, 62], Operations: ['13+17=30', '93-31=62'] Exploring Operation: 30+62=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 6, 2, 33 ]
39
[ "10-6=4", "2+33=35", "4+35=39" ]
Current State: 39:[10, 6, 2, 33], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [2, 33, 4] Generated Node #2: [2, 33, 4] from Operation: 10-6=4 Current State: 39:[2, 33, 4], Operations: ['10-6=4'] Exploring Operation: 2+33=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 2+33=35 Current State: 39:[4, 35], Operations: ['10-6=4', '2+33=35'] Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 53, 57, 93 ]
59
[ "93-53=40", "80/40=2", "57+2=59" ]
Current State: 59:[80, 53, 57, 93], Operations: [] Exploring Operation: 93-53=40, Resulting Numbers: [80, 57, 40] Generated Node #2: [80, 57, 40] from Operation: 93-53=40 Current State: 59:[80, 57, 40], Operations: ['93-53=40'] Exploring Operation: 80/40=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 80/40=2 Current State: 59:[57, 2], Operations: ['93-53=40', '80/40=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 85, 54, 43 ]
100
[ "4+85=89", "54-43=11", "89+11=100" ]
Current State: 100:[4, 85, 54, 43], Operations: [] Exploring Operation: 4+85=89, Resulting Numbers: [54, 43, 89] Generated Node #2: [54, 43, 89] from Operation: 4+85=89 Current State: 100:[54, 43, 89], Operations: ['4+85=89'] Exploring Operation: 54-43=11, Resulting Numbers: [89, 11] Generated Node #3: [89, 11] from Operation: 54-43=11 Current State: 100:[89, 11], Operations: ['4+85=89', '54-43=11'] Exploring Operation: 89+11=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4