nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 58, 25, 72, 60 ]
21
[ "58-25=33", "72-60=12", "33-12=21" ]
Current State: 21:[58, 25, 72, 60], Operations: [] Exploring Operation: 58-25=33, Resulting Numbers: [72, 60, 33] Generated Node #2: [72, 60, 33] from Operation: 58-25=33 Current State: 21:[72, 60, 33], Operations: ['58-25=33'] Exploring Operation: 72-60=12, Resulting Numbers: [33, 12] Generated Node #3: [33, 12] from Operation: 72-60=12 Current State: 21:[33, 12], Operations: ['58-25=33', '72-60=12'] Exploring Operation: 33-12=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 42, 58, 93, 11 ]
18
[ "42+58=100", "93-11=82", "100-82=18" ]
Current State: 18:[42, 58, 93, 11], Operations: [] Exploring Operation: 42+58=100, Resulting Numbers: [93, 11, 100] Generated Node #2: [93, 11, 100] from Operation: 42+58=100 Current State: 18:[93, 11, 100], Operations: ['42+58=100'] Exploring Operation: 93-11=82, Resulting Numbers: [100, 82] Generated Node #3: [100, 82] from Operation: 93-11=82 Current State: 18:[100, 82], Operations: ['42+58=100', '93-11=82'] Exploring Operation: 100-82=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 60, 88, 76, 44 ]
98
[ "88/44=2", "76/2=38", "60+38=98" ]
Current State: 98:[60, 88, 76, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [60, 76, 2] Generated Node #2: [60, 76, 2] from Operation: 88/44=2 Current State: 98:[60, 76, 2], Operations: ['88/44=2'] Exploring Operation: 76/2=38, Resulting Numbers: [60, 38] Generated Node #3: [60, 38] from Operation: 76/2=38 Current State: 98:[60, 38], Operations: ['88/44=2', '76/2=38'] Exploring Operation: 60+38=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 67, 1, 61 ]
88
[ "67-39=28", "61-1=60", "28+60=88" ]
Current State: 88:[39, 67, 1, 61], Operations: [] Exploring Operation: 67-39=28, Resulting Numbers: [1, 61, 28] Generated Node #2: [1, 61, 28] from Operation: 67-39=28 Current State: 88:[1, 61, 28], Operations: ['67-39=28'] Exploring Operation: 61-1=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 61-1=60 Current State: 88:[28, 60], Operations: ['67-39=28', '61-1=60'] Exploring Operation: 28+60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 4, 9, 54 ]
100
[ "33+4=37", "9+54=63", "37+63=100" ]
Current State: 100:[33, 4, 9, 54], Operations: [] Exploring Operation: 33+4=37, Resulting Numbers: [9, 54, 37] Generated Node #2: [9, 54, 37] from Operation: 33+4=37 Current State: 100:[9, 54, 37], Operations: ['33+4=37'] Exploring Operation: 9+54=63, Resulting Numbers: [37, 63] Generated Node #3: [37, 63] from Operation: 9+54=63 Current State: 100:[37, 63], Operations: ['33+4=37', '9+54=63'] Exploring Operation: 37+63=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 24, 17, 74 ]
44
[ "74-70=4", "17*4=68", "68-24=44" ]
Current State: 44:[70, 24, 17, 74], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [24, 17, 4] Generated Node #2: [24, 17, 4] from Operation: 74-70=4 Current State: 44:[24, 17, 4], Operations: ['74-70=4'] Exploring Operation: 17*4=68, Resulting Numbers: [24, 68] Generated Node #3: [24, 68] from Operation: 17*4=68 Current State: 44:[24, 68], Operations: ['74-70=4', '17*4=68'] Exploring Operation: 68-24=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 43, 64, 95, 65 ]
75
[ "43*95=4085", "64*65=4160", "4160-4085=75" ]
Current State: 75:[43, 64, 95, 65], Operations: [] Exploring Operation: 43*95=4085, Resulting Numbers: [64, 65, 4085] Generated Node #2: [64, 65, 4085] from Operation: 43*95=4085 Current State: 75:[64, 65, 4085], Operations: ['43*95=4085'] Exploring Operation: 64*65=4160, Resulting Numbers: [4085, 4160] Generated Node #3: [4085, 4160] from Operation: 64*65=4160 Current State: 75:[4085, 4160], Operations: ['43*95=4085', '64*65=4160'] Exploring Operation: 4160-4085=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 48, 66, 95 ]
42
[ "91*66=6006", "48+95=143", "6006/143=42" ]
Current State: 42:[91, 48, 66, 95], Operations: [] Exploring Operation: 91*66=6006, Resulting Numbers: [48, 95, 6006] Generated Node #2: [48, 95, 6006] from Operation: 91*66=6006 Current State: 42:[48, 95, 6006], Operations: ['91*66=6006'] Exploring Operation: 48+95=143, Resulting Numbers: [6006, 143] Generated Node #3: [6006, 143] from Operation: 48+95=143 Current State: 42:[6006, 143], Operations: ['91*66=6006', '48+95=143'] Exploring Operation: 6006/143=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 81, 9, 99 ]
40
[ "81/9=9", "99/9=11", "51-11=40" ]
Current State: 40:[51, 81, 9, 99], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [51, 99, 9] Generated Node #2: [51, 99, 9] from Operation: 81/9=9 Current State: 40:[51, 99, 9], Operations: ['81/9=9'] Exploring Operation: 99/9=11, Resulting Numbers: [51, 11] Generated Node #3: [51, 11] from Operation: 99/9=11 Current State: 40:[51, 11], Operations: ['81/9=9', '99/9=11'] Exploring Operation: 51-11=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 70, 58, 7 ]
93
[ "15*7=105", "70-58=12", "105-12=93" ]
Current State: 93:[15, 70, 58, 7], Operations: [] Exploring Operation: 15*7=105, Resulting Numbers: [70, 58, 105] Generated Node #2: [70, 58, 105] from Operation: 15*7=105 Current State: 93:[70, 58, 105], Operations: ['15*7=105'] Exploring Operation: 70-58=12, Resulting Numbers: [105, 12] Generated Node #3: [105, 12] from Operation: 70-58=12 Current State: 93:[105, 12], Operations: ['15*7=105', '70-58=12'] Exploring Operation: 105-12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 90, 78, 25, 13 ]
83
[ "90-25=65", "65/13=5", "78+5=83" ]
Current State: 83:[90, 78, 25, 13], Operations: [] Exploring Operation: 90-25=65, Resulting Numbers: [78, 13, 65] Generated Node #2: [78, 13, 65] from Operation: 90-25=65 Current State: 83:[78, 13, 65], Operations: ['90-25=65'] Exploring Operation: 65/13=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 65/13=5 Current State: 83:[78, 5], Operations: ['90-25=65', '65/13=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 76, 76, 66, 4 ]
69
[ "76/76=1", "66+4=70", "70-1=69" ]
Current State: 69:[76, 76, 66, 4], Operations: [] Exploring Operation: 76/76=1, Resulting Numbers: [66, 4, 1] Generated Node #2: [66, 4, 1] from Operation: 76/76=1 Current State: 69:[66, 4, 1], Operations: ['76/76=1'] Exploring Operation: 66+4=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 66+4=70 Current State: 69:[1, 70], Operations: ['76/76=1', '66+4=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 49, 60, 15 ]
99
[ "15-6=9", "60-49=11", "9*11=99" ]
Current State: 99:[6, 49, 60, 15], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [49, 60, 9] Generated Node #2: [49, 60, 9] from Operation: 15-6=9 Current State: 99:[49, 60, 9], Operations: ['15-6=9'] Exploring Operation: 60-49=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 60-49=11 Current State: 99:[9, 11], Operations: ['15-6=9', '60-49=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 70, 87, 56, 54 ]
93
[ "87-70=17", "56+54=110", "110-17=93" ]
Current State: 93:[70, 87, 56, 54], Operations: [] Exploring Operation: 87-70=17, Resulting Numbers: [56, 54, 17] Generated Node #2: [56, 54, 17] from Operation: 87-70=17 Current State: 93:[56, 54, 17], Operations: ['87-70=17'] Exploring Operation: 56+54=110, Resulting Numbers: [17, 110] Generated Node #3: [17, 110] from Operation: 56+54=110 Current State: 93:[17, 110], Operations: ['87-70=17', '56+54=110'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 90, 34, 80, 29 ]
24
[ "90+80=170", "170/34=5", "29-5=24" ]
Current State: 24:[90, 34, 80, 29], Operations: [] Exploring Operation: 90+80=170, Resulting Numbers: [34, 29, 170] Generated Node #2: [34, 29, 170] from Operation: 90+80=170 Current State: 24:[34, 29, 170], Operations: ['90+80=170'] Exploring Operation: 170/34=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 170/34=5 Current State: 24:[29, 5], Operations: ['90+80=170', '170/34=5'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 94, 47, 44 ]
38
[ "94/47=2", "44/2=22", "16+22=38" ]
Current State: 38:[16, 94, 47, 44], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [16, 44, 2] Generated Node #2: [16, 44, 2] from Operation: 94/47=2 Current State: 38:[16, 44, 2], Operations: ['94/47=2'] Exploring Operation: 44/2=22, Resulting Numbers: [16, 22] Generated Node #3: [16, 22] from Operation: 44/2=22 Current State: 38:[16, 22], Operations: ['94/47=2', '44/2=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 84, 86, 94, 3 ]
72
[ "84*3=252", "86+94=180", "252-180=72" ]
Current State: 72:[84, 86, 94, 3], Operations: [] Exploring Operation: 84*3=252, Resulting Numbers: [86, 94, 252] Generated Node #2: [86, 94, 252] from Operation: 84*3=252 Current State: 72:[86, 94, 252], Operations: ['84*3=252'] Exploring Operation: 86+94=180, Resulting Numbers: [252, 180] Generated Node #3: [252, 180] from Operation: 86+94=180 Current State: 72:[252, 180], Operations: ['84*3=252', '86+94=180'] Exploring Operation: 252-180=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 17, 26, 54, 41 ]
85
[ "26*54=1404", "41+1404=1445", "1445/17=85" ]
Current State: 85:[17, 26, 54, 41], Operations: [] Exploring Operation: 26*54=1404, Resulting Numbers: [17, 41, 1404] Generated Node #2: [17, 41, 1404] from Operation: 26*54=1404 Current State: 85:[17, 41, 1404], Operations: ['26*54=1404'] Exploring Operation: 41+1404=1445, Resulting Numbers: [17, 1445] Generated Node #3: [17, 1445] from Operation: 41+1404=1445 Current State: 85:[17, 1445], Operations: ['26*54=1404', '41+1404=1445'] Exploring Operation: 1445/17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 24, 65, 6, 76 ]
78
[ "24+65=89", "89-76=13", "6*13=78" ]
Current State: 78:[24, 65, 6, 76], Operations: [] Exploring Operation: 24+65=89, Resulting Numbers: [6, 76, 89] Generated Node #2: [6, 76, 89] from Operation: 24+65=89 Current State: 78:[6, 76, 89], Operations: ['24+65=89'] Exploring Operation: 89-76=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 89-76=13 Current State: 78:[6, 13], Operations: ['24+65=89', '89-76=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 66, 55, 17, 49 ]
28
[ "55-49=6", "66/6=11", "17+11=28" ]
Current State: 28:[66, 55, 17, 49], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [66, 17, 6] Generated Node #2: [66, 17, 6] from Operation: 55-49=6 Current State: 28:[66, 17, 6], Operations: ['55-49=6'] Exploring Operation: 66/6=11, Resulting Numbers: [17, 11] Generated Node #3: [17, 11] from Operation: 66/6=11 Current State: 28:[17, 11], Operations: ['55-49=6', '66/6=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 29, 2, 70, 18 ]
64
[ "70-29=41", "2*41=82", "82-18=64" ]
Current State: 64:[29, 2, 70, 18], Operations: [] Exploring Operation: 70-29=41, Resulting Numbers: [2, 18, 41] Generated Node #2: [2, 18, 41] from Operation: 70-29=41 Current State: 64:[2, 18, 41], Operations: ['70-29=41'] Exploring Operation: 2*41=82, Resulting Numbers: [18, 82] Generated Node #3: [18, 82] from Operation: 2*41=82 Current State: 64:[18, 82], Operations: ['70-29=41', '2*41=82'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 19, 20, 91, 66 ]
24
[ "20-19=1", "91-66=25", "25-1=24" ]
Current State: 24:[19, 20, 91, 66], Operations: [] Exploring Operation: 20-19=1, Resulting Numbers: [91, 66, 1] Generated Node #2: [91, 66, 1] from Operation: 20-19=1 Current State: 24:[91, 66, 1], Operations: ['20-19=1'] Exploring Operation: 91-66=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 91-66=25 Current State: 24:[1, 25], Operations: ['20-19=1', '91-66=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 75, 58, 82 ]
54
[ "82-75=7", "16*7=112", "112-58=54" ]
Current State: 54:[16, 75, 58, 82], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [16, 58, 7] Generated Node #2: [16, 58, 7] from Operation: 82-75=7 Current State: 54:[16, 58, 7], Operations: ['82-75=7'] Exploring Operation: 16*7=112, Resulting Numbers: [58, 112] Generated Node #3: [58, 112] from Operation: 16*7=112 Current State: 54:[58, 112], Operations: ['82-75=7', '16*7=112'] Exploring Operation: 112-58=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 18, 67, 91, 55 ]
85
[ "67-18=49", "91-55=36", "49+36=85" ]
Current State: 85:[18, 67, 91, 55], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [91, 55, 49] Generated Node #2: [91, 55, 49] from Operation: 67-18=49 Current State: 85:[91, 55, 49], Operations: ['67-18=49'] Exploring Operation: 91-55=36, Resulting Numbers: [49, 36] Generated Node #3: [49, 36] from Operation: 91-55=36 Current State: 85:[49, 36], Operations: ['67-18=49', '91-55=36'] Exploring Operation: 49+36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 59, 96, 52 ]
56
[ "52-20=32", "96/32=3", "59-3=56" ]
Current State: 56:[20, 59, 96, 52], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [59, 96, 32] Generated Node #2: [59, 96, 32] from Operation: 52-20=32 Current State: 56:[59, 96, 32], Operations: ['52-20=32'] Exploring Operation: 96/32=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 96/32=3 Current State: 56:[59, 3], Operations: ['52-20=32', '96/32=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 21, 18, 24, 11 ]
83
[ "21-18=3", "24*3=72", "11+72=83" ]
Current State: 83:[21, 18, 24, 11], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [24, 11, 3] Generated Node #2: [24, 11, 3] from Operation: 21-18=3 Current State: 83:[24, 11, 3], Operations: ['21-18=3'] Exploring Operation: 24*3=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 24*3=72 Current State: 83:[11, 72], Operations: ['21-18=3', '24*3=72'] Exploring Operation: 11+72=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 75, 69, 3, 96 ]
48
[ "75+69=144", "144/3=48", "96-48=48" ]
Current State: 48:[75, 69, 3, 96], Operations: [] Exploring Operation: 75+69=144, Resulting Numbers: [3, 96, 144] Generated Node #2: [3, 96, 144] from Operation: 75+69=144 Current State: 48:[3, 96, 144], Operations: ['75+69=144'] Exploring Operation: 144/3=48, Resulting Numbers: [96, 48] Generated Node #3: [96, 48] from Operation: 144/3=48 Current State: 48:[96, 48], Operations: ['75+69=144', '144/3=48'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 2, 9, 26, 99 ]
95
[ "26/2=13", "9+99=108", "108-13=95" ]
Current State: 95:[2, 9, 26, 99], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [9, 99, 13] Generated Node #2: [9, 99, 13] from Operation: 26/2=13 Current State: 95:[9, 99, 13], Operations: ['26/2=13'] Exploring Operation: 9+99=108, Resulting Numbers: [13, 108] Generated Node #3: [13, 108] from Operation: 9+99=108 Current State: 95:[13, 108], Operations: ['26/2=13', '9+99=108'] Exploring Operation: 108-13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 3, 36, 7 ]
94
[ "7-3=4", "36*4=144", "144-50=94" ]
Current State: 94:[50, 3, 36, 7], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [50, 36, 4] Generated Node #2: [50, 36, 4] from Operation: 7-3=4 Current State: 94:[50, 36, 4], Operations: ['7-3=4'] Exploring Operation: 36*4=144, Resulting Numbers: [50, 144] Generated Node #3: [50, 144] from Operation: 36*4=144 Current State: 94:[50, 144], Operations: ['7-3=4', '36*4=144'] Exploring Operation: 144-50=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 60, 12, 94 ]
93
[ "60-49=11", "94-12=82", "11+82=93" ]
Current State: 93:[49, 60, 12, 94], Operations: [] Exploring Operation: 60-49=11, Resulting Numbers: [12, 94, 11] Generated Node #2: [12, 94, 11] from Operation: 60-49=11 Current State: 93:[12, 94, 11], Operations: ['60-49=11'] Exploring Operation: 94-12=82, Resulting Numbers: [11, 82] Generated Node #3: [11, 82] from Operation: 94-12=82 Current State: 93:[11, 82], Operations: ['60-49=11', '94-12=82'] Exploring Operation: 11+82=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 94, 39, 47, 62 ]
43
[ "94+62=156", "156/39=4", "47-4=43" ]
Current State: 43:[94, 39, 47, 62], Operations: [] Exploring Operation: 94+62=156, Resulting Numbers: [39, 47, 156] Generated Node #2: [39, 47, 156] from Operation: 94+62=156 Current State: 43:[39, 47, 156], Operations: ['94+62=156'] Exploring Operation: 156/39=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 156/39=4 Current State: 43:[47, 4], Operations: ['94+62=156', '156/39=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 27, 2, 66, 10 ]
88
[ "27+66=93", "10/2=5", "93-5=88" ]
Current State: 88:[27, 2, 66, 10], Operations: [] Exploring Operation: 27+66=93, Resulting Numbers: [2, 10, 93] Generated Node #2: [2, 10, 93] from Operation: 27+66=93 Current State: 88:[2, 10, 93], Operations: ['27+66=93'] Exploring Operation: 10/2=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 10/2=5 Current State: 88:[93, 5], Operations: ['27+66=93', '10/2=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 77, 7, 77, 60 ]
82
[ "77+77=154", "154/7=22", "60+22=82" ]
Current State: 82:[77, 7, 77, 60], Operations: [] Exploring Operation: 77+77=154, Resulting Numbers: [7, 60, 154] Generated Node #2: [7, 60, 154] from Operation: 77+77=154 Current State: 82:[7, 60, 154], Operations: ['77+77=154'] Exploring Operation: 154/7=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 154/7=22 Current State: 82:[60, 22], Operations: ['77+77=154', '154/7=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 29, 36, 33 ]
38
[ "6+29=35", "36-33=3", "35+3=38" ]
Current State: 38:[6, 29, 36, 33], Operations: [] Exploring Operation: 6+29=35, Resulting Numbers: [36, 33, 35] Generated Node #2: [36, 33, 35] from Operation: 6+29=35 Current State: 38:[36, 33, 35], Operations: ['6+29=35'] Exploring Operation: 36-33=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 36-33=3 Current State: 38:[35, 3], Operations: ['6+29=35', '36-33=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 48, 38, 7 ]
35
[ "9+7=16", "48/16=3", "38-3=35" ]
Current State: 35:[9, 48, 38, 7], Operations: [] Exploring Operation: 9+7=16, Resulting Numbers: [48, 38, 16] Generated Node #2: [48, 38, 16] from Operation: 9+7=16 Current State: 35:[48, 38, 16], Operations: ['9+7=16'] Exploring Operation: 48/16=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 48/16=3 Current State: 35:[38, 3], Operations: ['9+7=16', '48/16=3'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 34, 49, 45 ]
12
[ "34-31=3", "49-45=4", "3*4=12" ]
Current State: 12:[31, 34, 49, 45], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [49, 45, 3] Generated Node #2: [49, 45, 3] from Operation: 34-31=3 Current State: 12:[49, 45, 3], Operations: ['34-31=3'] Exploring Operation: 49-45=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 49-45=4 Current State: 12:[3, 4], Operations: ['34-31=3', '49-45=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 40, 31, 79, 1 ]
69
[ "40-31=9", "79-1=78", "78-9=69" ]
Current State: 69:[40, 31, 79, 1], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [79, 1, 9] Generated Node #2: [79, 1, 9] from Operation: 40-31=9 Current State: 69:[79, 1, 9], Operations: ['40-31=9'] Exploring Operation: 79-1=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 79-1=78 Current State: 69:[9, 78], Operations: ['40-31=9', '79-1=78'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 23, 44, 91, 88 ]
70
[ "23+44=67", "91-88=3", "67+3=70" ]
Current State: 70:[23, 44, 91, 88], Operations: [] Exploring Operation: 23+44=67, Resulting Numbers: [91, 88, 67] Generated Node #2: [91, 88, 67] from Operation: 23+44=67 Current State: 70:[91, 88, 67], Operations: ['23+44=67'] Exploring Operation: 91-88=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 91-88=3 Current State: 70:[67, 3], Operations: ['23+44=67', '91-88=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 20, 55, 77, 8 ]
55
[ "77-55=22", "20*22=440", "440/8=55" ]
Current State: 55:[20, 55, 77, 8], Operations: [] Exploring Operation: 77-55=22, Resulting Numbers: [20, 8, 22] Generated Node #2: [20, 8, 22] from Operation: 77-55=22 Current State: 55:[20, 8, 22], Operations: ['77-55=22'] Exploring Operation: 20*22=440, Resulting Numbers: [8, 440] Generated Node #3: [8, 440] from Operation: 20*22=440 Current State: 55:[8, 440], Operations: ['77-55=22', '20*22=440'] Exploring Operation: 440/8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 43, 46, 42, 29 ]
18
[ "43+46=89", "42+29=71", "89-71=18" ]
Current State: 18:[43, 46, 42, 29], Operations: [] Exploring Operation: 43+46=89, Resulting Numbers: [42, 29, 89] Generated Node #2: [42, 29, 89] from Operation: 43+46=89 Current State: 18:[42, 29, 89], Operations: ['43+46=89'] Exploring Operation: 42+29=71, Resulting Numbers: [89, 71] Generated Node #3: [89, 71] from Operation: 42+29=71 Current State: 18:[89, 71], Operations: ['43+46=89', '42+29=71'] Exploring Operation: 89-71=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 50, 67, 20 ]
22
[ "67-42=25", "50/25=2", "20+2=22" ]
Current State: 22:[42, 50, 67, 20], Operations: [] Exploring Operation: 67-42=25, Resulting Numbers: [50, 20, 25] Generated Node #2: [50, 20, 25] from Operation: 67-42=25 Current State: 22:[50, 20, 25], Operations: ['67-42=25'] Exploring Operation: 50/25=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 50/25=2 Current State: 22:[20, 2], Operations: ['67-42=25', '50/25=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 50, 21, 80 ]
85
[ "94+50=144", "80-21=59", "144-59=85" ]
Current State: 85:[94, 50, 21, 80], Operations: [] Exploring Operation: 94+50=144, Resulting Numbers: [21, 80, 144] Generated Node #2: [21, 80, 144] from Operation: 94+50=144 Current State: 85:[21, 80, 144], Operations: ['94+50=144'] Exploring Operation: 80-21=59, Resulting Numbers: [144, 59] Generated Node #3: [144, 59] from Operation: 80-21=59 Current State: 85:[144, 59], Operations: ['94+50=144', '80-21=59'] Exploring Operation: 144-59=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 1, 96, 49, 4 ]
100
[ "1*96=96", "49*4=196", "196-96=100" ]
Current State: 100:[1, 96, 49, 4], Operations: [] Exploring Operation: 1*96=96, Resulting Numbers: [49, 4, 96] Generated Node #2: [49, 4, 96] from Operation: 1*96=96 Current State: 100:[49, 4, 96], Operations: ['1*96=96'] Exploring Operation: 49*4=196, Resulting Numbers: [96, 196] Generated Node #3: [96, 196] from Operation: 49*4=196 Current State: 100:[96, 196], Operations: ['1*96=96', '49*4=196'] Exploring Operation: 196-96=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 29, 47, 4, 53 ]
16
[ "29*4=116", "47+53=100", "116-100=16" ]
Current State: 16:[29, 47, 4, 53], Operations: [] Exploring Operation: 29*4=116, Resulting Numbers: [47, 53, 116] Generated Node #2: [47, 53, 116] from Operation: 29*4=116 Current State: 16:[47, 53, 116], Operations: ['29*4=116'] Exploring Operation: 47+53=100, Resulting Numbers: [116, 100] Generated Node #3: [116, 100] from Operation: 47+53=100 Current State: 16:[116, 100], Operations: ['29*4=116', '47+53=100'] Exploring Operation: 116-100=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 33, 43, 40 ]
59
[ "46-43=3", "33*3=99", "99-40=59" ]
Current State: 59:[46, 33, 43, 40], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [33, 40, 3] Generated Node #2: [33, 40, 3] from Operation: 46-43=3 Current State: 59:[33, 40, 3], Operations: ['46-43=3'] Exploring Operation: 33*3=99, Resulting Numbers: [40, 99] Generated Node #3: [40, 99] from Operation: 33*3=99 Current State: 59:[40, 99], Operations: ['46-43=3', '33*3=99'] Exploring Operation: 99-40=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 9, 4, 20, 52 ]
37
[ "9-4=5", "52-20=32", "5+32=37" ]
Current State: 37:[9, 4, 20, 52], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [20, 52, 5] Generated Node #2: [20, 52, 5] from Operation: 9-4=5 Current State: 37:[20, 52, 5], Operations: ['9-4=5'] Exploring Operation: 52-20=32, Resulting Numbers: [5, 32] Generated Node #3: [5, 32] from Operation: 52-20=32 Current State: 37:[5, 32], Operations: ['9-4=5', '52-20=32'] Exploring Operation: 5+32=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 56, 82, 55, 89 ]
47
[ "89-82=7", "56/7=8", "55-8=47" ]
Current State: 47:[56, 82, 55, 89], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [56, 55, 7] Generated Node #2: [56, 55, 7] from Operation: 89-82=7 Current State: 47:[56, 55, 7], Operations: ['89-82=7'] Exploring Operation: 56/7=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 56/7=8 Current State: 47:[55, 8], Operations: ['89-82=7', '56/7=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 57, 69, 37, 5 ]
55
[ "69+5=74", "74/37=2", "57-2=55" ]
Current State: 55:[57, 69, 37, 5], Operations: [] Exploring Operation: 69+5=74, Resulting Numbers: [57, 37, 74] Generated Node #2: [57, 37, 74] from Operation: 69+5=74 Current State: 55:[57, 37, 74], Operations: ['69+5=74'] Exploring Operation: 74/37=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 74/37=2 Current State: 55:[57, 2], Operations: ['69+5=74', '74/37=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 57, 50, 10, 90 ]
93
[ "57-50=7", "10+90=100", "100-7=93" ]
Current State: 93:[57, 50, 10, 90], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [10, 90, 7] Generated Node #2: [10, 90, 7] from Operation: 57-50=7 Current State: 93:[10, 90, 7], Operations: ['57-50=7'] Exploring Operation: 10+90=100, Resulting Numbers: [7, 100] Generated Node #3: [7, 100] from Operation: 10+90=100 Current State: 93:[7, 100], Operations: ['57-50=7', '10+90=100'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 12, 81, 51, 57 ]
68
[ "81+51=132", "132/12=11", "57+11=68" ]
Current State: 68:[12, 81, 51, 57], Operations: [] Exploring Operation: 81+51=132, Resulting Numbers: [12, 57, 132] Generated Node #2: [12, 57, 132] from Operation: 81+51=132 Current State: 68:[12, 57, 132], Operations: ['81+51=132'] Exploring Operation: 132/12=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 132/12=11 Current State: 68:[57, 11], Operations: ['81+51=132', '132/12=11'] Exploring Operation: 57+11=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 47, 39, 2, 79 ]
95
[ "47-39=8", "2*8=16", "79+16=95" ]
Current State: 95:[47, 39, 2, 79], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [2, 79, 8] Generated Node #2: [2, 79, 8] from Operation: 47-39=8 Current State: 95:[2, 79, 8], Operations: ['47-39=8'] Exploring Operation: 2*8=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 2*8=16 Current State: 95:[79, 16], Operations: ['47-39=8', '2*8=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 52, 40, 44, 9 ]
33
[ "52-40=12", "44*9=396", "396/12=33" ]
Current State: 33:[52, 40, 44, 9], Operations: [] Exploring Operation: 52-40=12, Resulting Numbers: [44, 9, 12] Generated Node #2: [44, 9, 12] from Operation: 52-40=12 Current State: 33:[44, 9, 12], Operations: ['52-40=12'] Exploring Operation: 44*9=396, Resulting Numbers: [12, 396] Generated Node #3: [12, 396] from Operation: 44*9=396 Current State: 33:[12, 396], Operations: ['52-40=12', '44*9=396'] Exploring Operation: 396/12=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 43, 36, 20, 28 ]
15
[ "43-36=7", "28-20=8", "7+8=15" ]
Current State: 15:[43, 36, 20, 28], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [20, 28, 7] Generated Node #2: [20, 28, 7] from Operation: 43-36=7 Current State: 15:[20, 28, 7], Operations: ['43-36=7'] Exploring Operation: 28-20=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 28-20=8 Current State: 15:[7, 8], Operations: ['43-36=7', '28-20=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 65, 44, 46, 78 ]
52
[ "46-44=2", "65*2=130", "130-78=52" ]
Current State: 52:[65, 44, 46, 78], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [65, 78, 2] Generated Node #2: [65, 78, 2] from Operation: 46-44=2 Current State: 52:[65, 78, 2], Operations: ['46-44=2'] Exploring Operation: 65*2=130, Resulting Numbers: [78, 130] Generated Node #3: [78, 130] from Operation: 65*2=130 Current State: 52:[78, 130], Operations: ['46-44=2', '65*2=130'] Exploring Operation: 130-78=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 25, 67, 7, 59 ]
31
[ "67-59=8", "7*8=56", "56-25=31" ]
Current State: 31:[25, 67, 7, 59], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [25, 7, 8] Generated Node #2: [25, 7, 8] from Operation: 67-59=8 Current State: 31:[25, 7, 8], Operations: ['67-59=8'] Exploring Operation: 7*8=56, Resulting Numbers: [25, 56] Generated Node #3: [25, 56] from Operation: 7*8=56 Current State: 31:[25, 56], Operations: ['67-59=8', '7*8=56'] Exploring Operation: 56-25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 81, 36, 13 ]
57
[ "36-13=23", "6*23=138", "138-81=57" ]
Current State: 57:[6, 81, 36, 13], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [6, 81, 23] Generated Node #2: [6, 81, 23] from Operation: 36-13=23 Current State: 57:[6, 81, 23], Operations: ['36-13=23'] Exploring Operation: 6*23=138, Resulting Numbers: [81, 138] Generated Node #3: [81, 138] from Operation: 6*23=138 Current State: 57:[81, 138], Operations: ['36-13=23', '6*23=138'] Exploring Operation: 138-81=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 9, 4, 30 ]
16
[ "17+9=26", "30-26=4", "4*4=16" ]
Current State: 16:[17, 9, 4, 30], Operations: [] Exploring Operation: 17+9=26, Resulting Numbers: [4, 30, 26] Generated Node #2: [4, 30, 26] from Operation: 17+9=26 Current State: 16:[4, 30, 26], Operations: ['17+9=26'] Exploring Operation: 30-26=4, Resulting Numbers: [4, 4] Generated Node #3: [4, 4] from Operation: 30-26=4 Current State: 16:[4, 4], Operations: ['17+9=26', '30-26=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 21, 3, 4, 33 ]
27
[ "21+3=24", "24/4=6", "33-6=27" ]
Current State: 27:[21, 3, 4, 33], Operations: [] Exploring Operation: 21+3=24, Resulting Numbers: [4, 33, 24] Generated Node #2: [4, 33, 24] from Operation: 21+3=24 Current State: 27:[4, 33, 24], Operations: ['21+3=24'] Exploring Operation: 24/4=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 24/4=6 Current State: 27:[33, 6], Operations: ['21+3=24', '24/4=6'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 50, 35, 60 ]
100
[ "50-35=15", "60*15=900", "900/9=100" ]
Current State: 100:[9, 50, 35, 60], Operations: [] Exploring Operation: 50-35=15, Resulting Numbers: [9, 60, 15] Generated Node #2: [9, 60, 15] from Operation: 50-35=15 Current State: 100:[9, 60, 15], Operations: ['50-35=15'] Exploring Operation: 60*15=900, Resulting Numbers: [9, 900] Generated Node #3: [9, 900] from Operation: 60*15=900 Current State: 100:[9, 900], Operations: ['50-35=15', '60*15=900'] Exploring Operation: 900/9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 81, 64, 43, 35 ]
83
[ "81*35=2835", "64*43=2752", "2835-2752=83" ]
Current State: 83:[81, 64, 43, 35], Operations: [] Exploring Operation: 81*35=2835, Resulting Numbers: [64, 43, 2835] Generated Node #2: [64, 43, 2835] from Operation: 81*35=2835 Current State: 83:[64, 43, 2835], Operations: ['81*35=2835'] Exploring Operation: 64*43=2752, Resulting Numbers: [2835, 2752] Generated Node #3: [2835, 2752] from Operation: 64*43=2752 Current State: 83:[2835, 2752], Operations: ['81*35=2835', '64*43=2752'] Exploring Operation: 2835-2752=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 22, 10, 2 ]
58
[ "23*2=46", "22-10=12", "46+12=58" ]
Current State: 58:[23, 22, 10, 2], Operations: [] Exploring Operation: 23*2=46, Resulting Numbers: [22, 10, 46] Generated Node #2: [22, 10, 46] from Operation: 23*2=46 Current State: 58:[22, 10, 46], Operations: ['23*2=46'] Exploring Operation: 22-10=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 22-10=12 Current State: 58:[46, 12], Operations: ['23*2=46', '22-10=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 35, 4, 28, 50 ]
36
[ "28*50=1400", "1400/35=40", "40-4=36" ]
Current State: 36:[35, 4, 28, 50], Operations: [] Exploring Operation: 28*50=1400, Resulting Numbers: [35, 4, 1400] Generated Node #2: [35, 4, 1400] from Operation: 28*50=1400 Current State: 36:[35, 4, 1400], Operations: ['28*50=1400'] Exploring Operation: 1400/35=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 1400/35=40 Current State: 36:[4, 40], Operations: ['28*50=1400', '1400/35=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 30, 21, 66 ]
79
[ "94+30=124", "66-21=45", "124-45=79" ]
Current State: 79:[94, 30, 21, 66], Operations: [] Exploring Operation: 94+30=124, Resulting Numbers: [21, 66, 124] Generated Node #2: [21, 66, 124] from Operation: 94+30=124 Current State: 79:[21, 66, 124], Operations: ['94+30=124'] Exploring Operation: 66-21=45, Resulting Numbers: [124, 45] Generated Node #3: [124, 45] from Operation: 66-21=45 Current State: 79:[124, 45], Operations: ['94+30=124', '66-21=45'] Exploring Operation: 124-45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 7, 12, 36, 38 ]
60
[ "7+36=43", "43-38=5", "12*5=60" ]
Current State: 60:[7, 12, 36, 38], Operations: [] Exploring Operation: 7+36=43, Resulting Numbers: [12, 38, 43] Generated Node #2: [12, 38, 43] from Operation: 7+36=43 Current State: 60:[12, 38, 43], Operations: ['7+36=43'] Exploring Operation: 43-38=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 43-38=5 Current State: 60:[12, 5], Operations: ['7+36=43', '43-38=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 30, 55, 28, 33 ]
81
[ "33-30=3", "55-28=27", "3*27=81" ]
Current State: 81:[30, 55, 28, 33], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [55, 28, 3] Generated Node #2: [55, 28, 3] from Operation: 33-30=3 Current State: 81:[55, 28, 3], Operations: ['33-30=3'] Exploring Operation: 55-28=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 55-28=27 Current State: 81:[3, 27], Operations: ['33-30=3', '55-28=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 88, 68, 12, 16 ]
98
[ "68*16=1088", "88+1088=1176", "1176/12=98" ]
Current State: 98:[88, 68, 12, 16], Operations: [] Exploring Operation: 68*16=1088, Resulting Numbers: [88, 12, 1088] Generated Node #2: [88, 12, 1088] from Operation: 68*16=1088 Current State: 98:[88, 12, 1088], Operations: ['68*16=1088'] Exploring Operation: 88+1088=1176, Resulting Numbers: [12, 1176] Generated Node #3: [12, 1176] from Operation: 88+1088=1176 Current State: 98:[12, 1176], Operations: ['68*16=1088', '88+1088=1176'] Exploring Operation: 1176/12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 81, 64, 16 ]
13
[ "16/4=4", "81-64=17", "17-4=13" ]
Current State: 13:[4, 81, 64, 16], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [81, 64, 4] Generated Node #2: [81, 64, 4] from Operation: 16/4=4 Current State: 13:[81, 64, 4], Operations: ['16/4=4'] Exploring Operation: 81-64=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 81-64=17 Current State: 13:[4, 17], Operations: ['16/4=4', '81-64=17'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 42, 3, 79 ]
28
[ "96-42=54", "3+79=82", "82-54=28" ]
Current State: 28:[96, 42, 3, 79], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [3, 79, 54] Generated Node #2: [3, 79, 54] from Operation: 96-42=54 Current State: 28:[3, 79, 54], Operations: ['96-42=54'] Exploring Operation: 3+79=82, Resulting Numbers: [54, 82] Generated Node #3: [54, 82] from Operation: 3+79=82 Current State: 28:[54, 82], Operations: ['96-42=54', '3+79=82'] Exploring Operation: 82-54=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 80, 21, 33 ]
93
[ "80*21=1680", "1680/28=60", "33+60=93" ]
Current State: 93:[28, 80, 21, 33], Operations: [] Exploring Operation: 80*21=1680, Resulting Numbers: [28, 33, 1680] Generated Node #2: [28, 33, 1680] from Operation: 80*21=1680 Current State: 93:[28, 33, 1680], Operations: ['80*21=1680'] Exploring Operation: 1680/28=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 1680/28=60 Current State: 93:[33, 60], Operations: ['80*21=1680', '1680/28=60'] Exploring Operation: 33+60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 53, 42, 31, 39 ]
81
[ "53-42=11", "31+39=70", "11+70=81" ]
Current State: 81:[53, 42, 31, 39], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [31, 39, 11] Generated Node #2: [31, 39, 11] from Operation: 53-42=11 Current State: 81:[31, 39, 11], Operations: ['53-42=11'] Exploring Operation: 31+39=70, Resulting Numbers: [11, 70] Generated Node #3: [11, 70] from Operation: 31+39=70 Current State: 81:[11, 70], Operations: ['53-42=11', '31+39=70'] Exploring Operation: 11+70=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 28, 13, 9, 51 ]
85
[ "28-13=15", "51*15=765", "765/9=85" ]
Current State: 85:[28, 13, 9, 51], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [9, 51, 15] Generated Node #2: [9, 51, 15] from Operation: 28-13=15 Current State: 85:[9, 51, 15], Operations: ['28-13=15'] Exploring Operation: 51*15=765, Resulting Numbers: [9, 765] Generated Node #3: [9, 765] from Operation: 51*15=765 Current State: 85:[9, 765], Operations: ['28-13=15', '51*15=765'] Exploring Operation: 765/9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 29, 59, 54, 17 ]
32
[ "29*59=1711", "17+1711=1728", "1728/54=32" ]
Current State: 32:[29, 59, 54, 17], Operations: [] Exploring Operation: 29*59=1711, Resulting Numbers: [54, 17, 1711] Generated Node #2: [54, 17, 1711] from Operation: 29*59=1711 Current State: 32:[54, 17, 1711], Operations: ['29*59=1711'] Exploring Operation: 17+1711=1728, Resulting Numbers: [54, 1728] Generated Node #3: [54, 1728] from Operation: 17+1711=1728 Current State: 32:[54, 1728], Operations: ['29*59=1711', '17+1711=1728'] Exploring Operation: 1728/54=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 13, 12, 6, 59 ]
12
[ "13+59=72", "12-6=6", "72/6=12" ]
Current State: 12:[13, 12, 6, 59], Operations: [] Exploring Operation: 13+59=72, Resulting Numbers: [12, 6, 72] Generated Node #2: [12, 6, 72] from Operation: 13+59=72 Current State: 12:[12, 6, 72], Operations: ['13+59=72'] Exploring Operation: 12-6=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 12-6=6 Current State: 12:[72, 6], Operations: ['13+59=72', '12-6=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 22, 24, 7 ]
14
[ "92-22=70", "70/7=10", "24-10=14" ]
Current State: 14:[92, 22, 24, 7], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [24, 7, 70] Generated Node #2: [24, 7, 70] from Operation: 92-22=70 Current State: 14:[24, 7, 70], Operations: ['92-22=70'] Exploring Operation: 70/7=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 70/7=10 Current State: 14:[24, 10], Operations: ['92-22=70', '70/7=10'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 85, 19, 69 ]
51
[ "85-84=1", "69-19=50", "1+50=51" ]
Current State: 51:[84, 85, 19, 69], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [19, 69, 1] Generated Node #2: [19, 69, 1] from Operation: 85-84=1 Current State: 51:[19, 69, 1], Operations: ['85-84=1'] Exploring Operation: 69-19=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 69-19=50 Current State: 51:[1, 50], Operations: ['85-84=1', '69-19=50'] Exploring Operation: 1+50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 58, 20, 46 ]
49
[ "58-41=17", "20+46=66", "66-17=49" ]
Current State: 49:[41, 58, 20, 46], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [20, 46, 17] Generated Node #2: [20, 46, 17] from Operation: 58-41=17 Current State: 49:[20, 46, 17], Operations: ['58-41=17'] Exploring Operation: 20+46=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 20+46=66 Current State: 49:[17, 66], Operations: ['58-41=17', '20+46=66'] Exploring Operation: 66-17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 32, 3, 32, 88 ]
44
[ "32/32=1", "3-1=2", "88/2=44" ]
Current State: 44:[32, 3, 32, 88], Operations: [] Exploring Operation: 32/32=1, Resulting Numbers: [3, 88, 1] Generated Node #2: [3, 88, 1] from Operation: 32/32=1 Current State: 44:[3, 88, 1], Operations: ['32/32=1'] Exploring Operation: 3-1=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 3-1=2 Current State: 44:[88, 2], Operations: ['32/32=1', '3-1=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 63, 48, 85, 15 ]
85
[ "63-48=15", "85+15=100", "100-15=85" ]
Current State: 85:[63, 48, 85, 15], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [85, 15, 15] Generated Node #2: [85, 15, 15] from Operation: 63-48=15 Current State: 85:[85, 15, 15], Operations: ['63-48=15'] Exploring Operation: 85+15=100, Resulting Numbers: [100] 100,85 equal: Goal Reached Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 33, 26, 45 ]
54
[ "33+45=78", "78/26=3", "57-3=54" ]
Current State: 54:[57, 33, 26, 45], Operations: [] Exploring Operation: 33+45=78, Resulting Numbers: [57, 26, 78] Generated Node #2: [57, 26, 78] from Operation: 33+45=78 Current State: 54:[57, 26, 78], Operations: ['33+45=78'] Exploring Operation: 78/26=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 78/26=3 Current State: 54:[57, 3], Operations: ['33+45=78', '78/26=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 28, 71, 9, 89 ]
30
[ "89-71=18", "18/9=2", "28+2=30" ]
Current State: 30:[28, 71, 9, 89], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [28, 9, 18] Generated Node #2: [28, 9, 18] from Operation: 89-71=18 Current State: 30:[28, 9, 18], Operations: ['89-71=18'] Exploring Operation: 18/9=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 18/9=2 Current State: 30:[28, 2], Operations: ['89-71=18', '18/9=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 59, 23, 39, 12 ]
36
[ "59-23=36", "39-36=3", "12*3=36" ]
Current State: 36:[59, 23, 39, 12], Operations: [] Exploring Operation: 59-23=36, Resulting Numbers: [39, 12, 36] Generated Node #2: [39, 12, 36] from Operation: 59-23=36 Current State: 36:[39, 12, 36], Operations: ['59-23=36'] Exploring Operation: 39-36=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 39-36=3 Current State: 36:[12, 3], Operations: ['59-23=36', '39-36=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 82, 53, 53 ]
15
[ "82-66=16", "53/53=1", "16-1=15" ]
Current State: 15:[66, 82, 53, 53], Operations: [] Exploring Operation: 82-66=16, Resulting Numbers: [53, 53, 16] Generated Node #2: [53, 53, 16] from Operation: 82-66=16 Current State: 15:[53, 53, 16], Operations: ['82-66=16'] Exploring Operation: 53/53=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 53/53=1 Current State: 15:[16, 1], Operations: ['82-66=16', '53/53=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 59, 56, 67 ]
44
[ "20+59=79", "56+67=123", "123-79=44" ]
Current State: 44:[20, 59, 56, 67], Operations: [] Exploring Operation: 20+59=79, Resulting Numbers: [56, 67, 79] Generated Node #2: [56, 67, 79] from Operation: 20+59=79 Current State: 44:[56, 67, 79], Operations: ['20+59=79'] Exploring Operation: 56+67=123, Resulting Numbers: [79, 123] Generated Node #3: [79, 123] from Operation: 56+67=123 Current State: 44:[79, 123], Operations: ['20+59=79', '56+67=123'] Exploring Operation: 123-79=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 30, 76, 12, 27 ]
19
[ "30-27=3", "76*3=228", "228/12=19" ]
Current State: 19:[30, 76, 12, 27], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [76, 12, 3] Generated Node #2: [76, 12, 3] from Operation: 30-27=3 Current State: 19:[76, 12, 3], Operations: ['30-27=3'] Exploring Operation: 76*3=228, Resulting Numbers: [12, 228] Generated Node #3: [12, 228] from Operation: 76*3=228 Current State: 19:[12, 228], Operations: ['30-27=3', '76*3=228'] Exploring Operation: 228/12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 33, 41, 82, 28 ]
46
[ "41-33=8", "82-28=54", "54-8=46" ]
Current State: 46:[33, 41, 82, 28], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [82, 28, 8] Generated Node #2: [82, 28, 8] from Operation: 41-33=8 Current State: 46:[82, 28, 8], Operations: ['41-33=8'] Exploring Operation: 82-28=54, Resulting Numbers: [8, 54] Generated Node #3: [8, 54] from Operation: 82-28=54 Current State: 46:[8, 54], Operations: ['41-33=8', '82-28=54'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 25, 3, 34 ]
81
[ "34-25=9", "3*9=27", "54+27=81" ]
Current State: 81:[54, 25, 3, 34], Operations: [] Exploring Operation: 34-25=9, Resulting Numbers: [54, 3, 9] Generated Node #2: [54, 3, 9] from Operation: 34-25=9 Current State: 81:[54, 3, 9], Operations: ['34-25=9'] Exploring Operation: 3*9=27, Resulting Numbers: [54, 27] Generated Node #3: [54, 27] from Operation: 3*9=27 Current State: 81:[54, 27], Operations: ['34-25=9', '3*9=27'] Exploring Operation: 54+27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 69, 87, 50 ]
43
[ "69-63=6", "87-50=37", "6+37=43" ]
Current State: 43:[63, 69, 87, 50], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [87, 50, 6] Generated Node #2: [87, 50, 6] from Operation: 69-63=6 Current State: 43:[87, 50, 6], Operations: ['69-63=6'] Exploring Operation: 87-50=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 87-50=37 Current State: 43:[6, 37], Operations: ['69-63=6', '87-50=37'] Exploring Operation: 6+37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 98, 54, 21, 14 ]
50
[ "98-14=84", "84/21=4", "54-4=50" ]
Current State: 50:[98, 54, 21, 14], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [54, 21, 84] Generated Node #2: [54, 21, 84] from Operation: 98-14=84 Current State: 50:[54, 21, 84], Operations: ['98-14=84'] Exploring Operation: 84/21=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 84/21=4 Current State: 50:[54, 4], Operations: ['98-14=84', '84/21=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 61, 30, 8 ]
64
[ "83-61=22", "30-22=8", "8*8=64" ]
Current State: 64:[83, 61, 30, 8], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [30, 8, 22] Generated Node #2: [30, 8, 22] from Operation: 83-61=22 Current State: 64:[30, 8, 22], Operations: ['83-61=22'] Exploring Operation: 30-22=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 30-22=8 Current State: 64:[8, 8], Operations: ['83-61=22', '30-22=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 9, 8, 91, 92 ]
18
[ "9+8=17", "92-91=1", "17+1=18" ]
Current State: 18:[9, 8, 91, 92], Operations: [] Exploring Operation: 9+8=17, Resulting Numbers: [91, 92, 17] Generated Node #2: [91, 92, 17] from Operation: 9+8=17 Current State: 18:[91, 92, 17], Operations: ['9+8=17'] Exploring Operation: 92-91=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 92-91=1 Current State: 18:[17, 1], Operations: ['9+8=17', '92-91=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 37, 56, 55, 6 ]
59
[ "56-37=19", "6*19=114", "114-55=59" ]
Current State: 59:[37, 56, 55, 6], Operations: [] Exploring Operation: 56-37=19, Resulting Numbers: [55, 6, 19] Generated Node #2: [55, 6, 19] from Operation: 56-37=19 Current State: 59:[55, 6, 19], Operations: ['56-37=19'] Exploring Operation: 6*19=114, Resulting Numbers: [55, 114] Generated Node #3: [55, 114] from Operation: 6*19=114 Current State: 59:[55, 114], Operations: ['56-37=19', '6*19=114'] Exploring Operation: 114-55=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 37, 3, 95, 57 ]
78
[ "37+3=40", "95-57=38", "40+38=78" ]
Current State: 78:[37, 3, 95, 57], Operations: [] Exploring Operation: 37+3=40, Resulting Numbers: [95, 57, 40] Generated Node #2: [95, 57, 40] from Operation: 37+3=40 Current State: 78:[95, 57, 40], Operations: ['37+3=40'] Exploring Operation: 95-57=38, Resulting Numbers: [40, 38] Generated Node #3: [40, 38] from Operation: 95-57=38 Current State: 78:[40, 38], Operations: ['37+3=40', '95-57=38'] Exploring Operation: 40+38=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 71, 58, 67 ]
66
[ "71-14=57", "67-58=9", "57+9=66" ]
Current State: 66:[14, 71, 58, 67], Operations: [] Exploring Operation: 71-14=57, Resulting Numbers: [58, 67, 57] Generated Node #2: [58, 67, 57] from Operation: 71-14=57 Current State: 66:[58, 67, 57], Operations: ['71-14=57'] Exploring Operation: 67-58=9, Resulting Numbers: [57, 9] Generated Node #3: [57, 9] from Operation: 67-58=9 Current State: 66:[57, 9], Operations: ['71-14=57', '67-58=9'] Exploring Operation: 57+9=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 76, 12, 19, 84 ]
36
[ "76*12=912", "912/19=48", "84-48=36" ]
Current State: 36:[76, 12, 19, 84], Operations: [] Exploring Operation: 76*12=912, Resulting Numbers: [19, 84, 912] Generated Node #2: [19, 84, 912] from Operation: 76*12=912 Current State: 36:[19, 84, 912], Operations: ['76*12=912'] Exploring Operation: 912/19=48, Resulting Numbers: [84, 48] Generated Node #3: [84, 48] from Operation: 912/19=48 Current State: 36:[84, 48], Operations: ['76*12=912', '912/19=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 46, 83, 3, 39 ]
30
[ "46+83=129", "129-39=90", "90/3=30" ]
Current State: 30:[46, 83, 3, 39], Operations: [] Exploring Operation: 46+83=129, Resulting Numbers: [3, 39, 129] Generated Node #2: [3, 39, 129] from Operation: 46+83=129 Current State: 30:[3, 39, 129], Operations: ['46+83=129'] Exploring Operation: 129-39=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 129-39=90 Current State: 30:[3, 90], Operations: ['46+83=129', '129-39=90'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 23, 54, 63 ]
26
[ "63-23=40", "2*40=80", "80-54=26" ]
Current State: 26:[2, 23, 54, 63], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [2, 54, 40] Generated Node #2: [2, 54, 40] from Operation: 63-23=40 Current State: 26:[2, 54, 40], Operations: ['63-23=40'] Exploring Operation: 2*40=80, Resulting Numbers: [54, 80] Generated Node #3: [54, 80] from Operation: 2*40=80 Current State: 26:[54, 80], Operations: ['63-23=40', '2*40=80'] Exploring Operation: 80-54=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 24, 15, 85 ]
90
[ "99-24=75", "75/15=5", "85+5=90" ]
Current State: 90:[99, 24, 15, 85], Operations: [] Exploring Operation: 99-24=75, Resulting Numbers: [15, 85, 75] Generated Node #2: [15, 85, 75] from Operation: 99-24=75 Current State: 90:[15, 85, 75], Operations: ['99-24=75'] Exploring Operation: 75/15=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 75/15=5 Current State: 90:[85, 5], Operations: ['99-24=75', '75/15=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 64, 10, 65 ]
56
[ "64-63=1", "65-10=55", "1+55=56" ]
Current State: 56:[63, 64, 10, 65], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [10, 65, 1] Generated Node #2: [10, 65, 1] from Operation: 64-63=1 Current State: 56:[10, 65, 1], Operations: ['64-63=1'] Exploring Operation: 65-10=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 65-10=55 Current State: 56:[1, 55], Operations: ['64-63=1', '65-10=55'] Exploring Operation: 1+55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 28, 54, 15, 72 ]
83
[ "54-28=26", "72-15=57", "26+57=83" ]
Current State: 83:[28, 54, 15, 72], Operations: [] Exploring Operation: 54-28=26, Resulting Numbers: [15, 72, 26] Generated Node #2: [15, 72, 26] from Operation: 54-28=26 Current State: 83:[15, 72, 26], Operations: ['54-28=26'] Exploring Operation: 72-15=57, Resulting Numbers: [26, 57] Generated Node #3: [26, 57] from Operation: 72-15=57 Current State: 83:[26, 57], Operations: ['54-28=26', '72-15=57'] Exploring Operation: 26+57=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 23, 87, 83 ]
21
[ "61+23=84", "87-83=4", "84/4=21" ]
Current State: 21:[61, 23, 87, 83], Operations: [] Exploring Operation: 61+23=84, Resulting Numbers: [87, 83, 84] Generated Node #2: [87, 83, 84] from Operation: 61+23=84 Current State: 21:[87, 83, 84], Operations: ['61+23=84'] Exploring Operation: 87-83=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 87-83=4 Current State: 21:[84, 4], Operations: ['61+23=84', '87-83=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4