nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 66, 56, 63, 36 ]
89
[ "66-56=10", "63+36=99", "99-10=89" ]
Current State: 89:[66, 56, 63, 36], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [63, 36, 10] Generated Node #2: [63, 36, 10] from Operation: 66-56=10 Current State: 89:[63, 36, 10], Operations: ['66-56=10'] Exploring Operation: 63+36=99, Resulting Numbers: [10, 99] Generated Node #3: [10, 99] from Operation: 63+36=99 Current State: 89:[10, 99], Operations: ['66-56=10', '63+36=99'] Exploring Operation: 99-10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 43, 72, 76, 59 ]
64
[ "59-43=16", "76-72=4", "16*4=64" ]
Current State: 64:[43, 72, 76, 59], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [72, 76, 16] Generated Node #2: [72, 76, 16] from Operation: 59-43=16 Current State: 64:[72, 76, 16], Operations: ['59-43=16'] Exploring Operation: 76-72=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 76-72=4 Current State: 64:[16, 4], Operations: ['59-43=16', '76-72=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 89, 62, 37, 2 ]
77
[ "89+62=151", "37*2=74", "151-74=77" ]
Current State: 77:[89, 62, 37, 2], Operations: [] Exploring Operation: 89+62=151, Resulting Numbers: [37, 2, 151] Generated Node #2: [37, 2, 151] from Operation: 89+62=151 Current State: 77:[37, 2, 151], Operations: ['89+62=151'] Exploring Operation: 37*2=74, Resulting Numbers: [151, 74] Generated Node #3: [151, 74] from Operation: 37*2=74 Current State: 77:[151, 74], Operations: ['89+62=151', '37*2=74'] Exploring Operation: 151-74=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 91, 38, 31 ]
77
[ "38-31=7", "91/7=13", "90-13=77" ]
Current State: 77:[90, 91, 38, 31], Operations: [] Exploring Operation: 38-31=7, Resulting Numbers: [90, 91, 7] Generated Node #2: [90, 91, 7] from Operation: 38-31=7 Current State: 77:[90, 91, 7], Operations: ['38-31=7'] Exploring Operation: 91/7=13, Resulting Numbers: [90, 13] Generated Node #3: [90, 13] from Operation: 91/7=13 Current State: 77:[90, 13], Operations: ['38-31=7', '91/7=13'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 5, 77, 8, 53 ]
62
[ "77-5=72", "72/8=9", "53+9=62" ]
Current State: 62:[5, 77, 8, 53], Operations: [] Exploring Operation: 77-5=72, Resulting Numbers: [8, 53, 72] Generated Node #2: [8, 53, 72] from Operation: 77-5=72 Current State: 62:[8, 53, 72], Operations: ['77-5=72'] Exploring Operation: 72/8=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 72/8=9 Current State: 62:[53, 9], Operations: ['77-5=72', '72/8=9'] Exploring Operation: 53+9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 89, 12, 58 ]
93
[ "89-42=47", "58-12=46", "47+46=93" ]
Current State: 93:[42, 89, 12, 58], Operations: [] Exploring Operation: 89-42=47, Resulting Numbers: [12, 58, 47] Generated Node #2: [12, 58, 47] from Operation: 89-42=47 Current State: 93:[12, 58, 47], Operations: ['89-42=47'] Exploring Operation: 58-12=46, Resulting Numbers: [47, 46] Generated Node #3: [47, 46] from Operation: 58-12=46 Current State: 93:[47, 46], Operations: ['89-42=47', '58-12=46'] Exploring Operation: 47+46=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 54, 82, 3, 74 ]
99
[ "82-54=28", "74-3=71", "28+71=99" ]
Current State: 99:[54, 82, 3, 74], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [3, 74, 28] Generated Node #2: [3, 74, 28] from Operation: 82-54=28 Current State: 99:[3, 74, 28], Operations: ['82-54=28'] Exploring Operation: 74-3=71, Resulting Numbers: [28, 71] Generated Node #3: [28, 71] from Operation: 74-3=71 Current State: 99:[28, 71], Operations: ['82-54=28', '74-3=71'] Exploring Operation: 28+71=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 75, 16, 5, 15 ]
60
[ "75*16=1200", "5+15=20", "1200/20=60" ]
Current State: 60:[75, 16, 5, 15], Operations: [] Exploring Operation: 75*16=1200, Resulting Numbers: [5, 15, 1200] Generated Node #2: [5, 15, 1200] from Operation: 75*16=1200 Current State: 60:[5, 15, 1200], Operations: ['75*16=1200'] Exploring Operation: 5+15=20, Resulting Numbers: [1200, 20] Generated Node #3: [1200, 20] from Operation: 5+15=20 Current State: 60:[1200, 20], Operations: ['75*16=1200', '5+15=20'] Exploring Operation: 1200/20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 57, 98, 69 ]
33
[ "61-57=4", "98-69=29", "4+29=33" ]
Current State: 33:[61, 57, 98, 69], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [98, 69, 4] Generated Node #2: [98, 69, 4] from Operation: 61-57=4 Current State: 33:[98, 69, 4], Operations: ['61-57=4'] Exploring Operation: 98-69=29, Resulting Numbers: [4, 29] Generated Node #3: [4, 29] from Operation: 98-69=29 Current State: 33:[4, 29], Operations: ['61-57=4', '98-69=29'] Exploring Operation: 4+29=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 82, 48, 91 ]
51
[ "6+82=88", "48+91=139", "139-88=51" ]
Current State: 51:[6, 82, 48, 91], Operations: [] Exploring Operation: 6+82=88, Resulting Numbers: [48, 91, 88] Generated Node #2: [48, 91, 88] from Operation: 6+82=88 Current State: 51:[48, 91, 88], Operations: ['6+82=88'] Exploring Operation: 48+91=139, Resulting Numbers: [88, 139] Generated Node #3: [88, 139] from Operation: 48+91=139 Current State: 51:[88, 139], Operations: ['6+82=88', '48+91=139'] Exploring Operation: 139-88=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 40, 36, 90, 31 ]
82
[ "36-31=5", "40/5=8", "90-8=82" ]
Current State: 82:[40, 36, 90, 31], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [40, 90, 5] Generated Node #2: [40, 90, 5] from Operation: 36-31=5 Current State: 82:[40, 90, 5], Operations: ['36-31=5'] Exploring Operation: 40/5=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 40/5=8 Current State: 82:[90, 8], Operations: ['36-31=5', '40/5=8'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 1, 36, 3 ]
54
[ "2*1=2", "36*3=108", "108/2=54" ]
Current State: 54:[2, 1, 36, 3], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [36, 3, 2] Generated Node #2: [36, 3, 2] from Operation: 2*1=2 Current State: 54:[36, 3, 2], Operations: ['2*1=2'] Exploring Operation: 36*3=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 36*3=108 Current State: 54:[2, 108], Operations: ['2*1=2', '36*3=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 99, 92, 10, 22 ]
29
[ "99+92=191", "10*22=220", "220-191=29" ]
Current State: 29:[99, 92, 10, 22], Operations: [] Exploring Operation: 99+92=191, Resulting Numbers: [10, 22, 191] Generated Node #2: [10, 22, 191] from Operation: 99+92=191 Current State: 29:[10, 22, 191], Operations: ['99+92=191'] Exploring Operation: 10*22=220, Resulting Numbers: [191, 220] Generated Node #3: [191, 220] from Operation: 10*22=220 Current State: 29:[191, 220], Operations: ['99+92=191', '10*22=220'] Exploring Operation: 220-191=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 44, 18, 80, 93 ]
24
[ "44+80=124", "18*124=2232", "2232/93=24" ]
Current State: 24:[44, 18, 80, 93], Operations: [] Exploring Operation: 44+80=124, Resulting Numbers: [18, 93, 124] Generated Node #2: [18, 93, 124] from Operation: 44+80=124 Current State: 24:[18, 93, 124], Operations: ['44+80=124'] Exploring Operation: 18*124=2232, Resulting Numbers: [93, 2232] Generated Node #3: [93, 2232] from Operation: 18*124=2232 Current State: 24:[93, 2232], Operations: ['44+80=124', '18*124=2232'] Exploring Operation: 2232/93=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 71, 28, 57, 47 ]
94
[ "71-57=14", "28*47=1316", "1316/14=94" ]
Current State: 94:[71, 28, 57, 47], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [28, 47, 14] Generated Node #2: [28, 47, 14] from Operation: 71-57=14 Current State: 94:[28, 47, 14], Operations: ['71-57=14'] Exploring Operation: 28*47=1316, Resulting Numbers: [14, 1316] Generated Node #3: [14, 1316] from Operation: 28*47=1316 Current State: 94:[14, 1316], Operations: ['71-57=14', '28*47=1316'] Exploring Operation: 1316/14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 47, 9, 68, 49 ]
21
[ "68-47=21", "9*49=441", "441/21=21" ]
Current State: 21:[47, 9, 68, 49], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [9, 49, 21] Generated Node #2: [9, 49, 21] from Operation: 68-47=21 Current State: 21:[9, 49, 21], Operations: ['68-47=21'] Exploring Operation: 9*49=441, Resulting Numbers: [21, 441] Generated Node #3: [21, 441] from Operation: 9*49=441 Current State: 21:[21, 441], Operations: ['68-47=21', '9*49=441'] Exploring Operation: 441/21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 36, 88, 57 ]
13
[ "88/11=8", "57-36=21", "21-8=13" ]
Current State: 13:[11, 36, 88, 57], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [36, 57, 8] Generated Node #2: [36, 57, 8] from Operation: 88/11=8 Current State: 13:[36, 57, 8], Operations: ['88/11=8'] Exploring Operation: 57-36=21, Resulting Numbers: [8, 21] Generated Node #3: [8, 21] from Operation: 57-36=21 Current State: 13:[8, 21], Operations: ['88/11=8', '57-36=21'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 26, 74, 99, 16 ]
16
[ "26+74=100", "100-99=1", "16*1=16" ]
Current State: 16:[26, 74, 99, 16], Operations: [] Exploring Operation: 26+74=100, Resulting Numbers: [99, 16, 100] Generated Node #2: [99, 16, 100] from Operation: 26+74=100 Current State: 16:[99, 16, 100], Operations: ['26+74=100'] Exploring Operation: 100-99=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 100-99=1 Current State: 16:[16, 1], Operations: ['26+74=100', '100-99=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 64, 17, 92 ]
69
[ "70-64=6", "92-17=75", "75-6=69" ]
Current State: 69:[70, 64, 17, 92], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [17, 92, 6] Generated Node #2: [17, 92, 6] from Operation: 70-64=6 Current State: 69:[17, 92, 6], Operations: ['70-64=6'] Exploring Operation: 92-17=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 92-17=75 Current State: 69:[6, 75], Operations: ['70-64=6', '92-17=75'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 52, 2, 47 ]
46
[ "87+52=139", "139-47=92", "92/2=46" ]
Current State: 46:[87, 52, 2, 47], Operations: [] Exploring Operation: 87+52=139, Resulting Numbers: [2, 47, 139] Generated Node #2: [2, 47, 139] from Operation: 87+52=139 Current State: 46:[2, 47, 139], Operations: ['87+52=139'] Exploring Operation: 139-47=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 139-47=92 Current State: 46:[2, 92], Operations: ['87+52=139', '139-47=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 93, 63, 2, 4 ]
80
[ "93+63=156", "4+156=160", "160/2=80" ]
Current State: 80:[93, 63, 2, 4], Operations: [] Exploring Operation: 93+63=156, Resulting Numbers: [2, 4, 156] Generated Node #2: [2, 4, 156] from Operation: 93+63=156 Current State: 80:[2, 4, 156], Operations: ['93+63=156'] Exploring Operation: 4+156=160, Resulting Numbers: [2, 160] Generated Node #3: [2, 160] from Operation: 4+156=160 Current State: 80:[2, 160], Operations: ['93+63=156', '4+156=160'] Exploring Operation: 160/2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 6, 91, 73 ]
47
[ "91+73=164", "164/4=41", "6+41=47" ]
Current State: 47:[4, 6, 91, 73], Operations: [] Exploring Operation: 91+73=164, Resulting Numbers: [4, 6, 164] Generated Node #2: [4, 6, 164] from Operation: 91+73=164 Current State: 47:[4, 6, 164], Operations: ['91+73=164'] Exploring Operation: 164/4=41, Resulting Numbers: [6, 41] Generated Node #3: [6, 41] from Operation: 164/4=41 Current State: 47:[6, 41], Operations: ['91+73=164', '164/4=41'] Exploring Operation: 6+41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 32, 11, 65 ]
51
[ "11+65=76", "76/4=19", "32+19=51" ]
Current State: 51:[4, 32, 11, 65], Operations: [] Exploring Operation: 11+65=76, Resulting Numbers: [4, 32, 76] Generated Node #2: [4, 32, 76] from Operation: 11+65=76 Current State: 51:[4, 32, 76], Operations: ['11+65=76'] Exploring Operation: 76/4=19, Resulting Numbers: [32, 19] Generated Node #3: [32, 19] from Operation: 76/4=19 Current State: 51:[32, 19], Operations: ['11+65=76', '76/4=19'] Exploring Operation: 32+19=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 76, 11, 49, 73 ]
63
[ "76+11=87", "73-49=24", "87-24=63" ]
Current State: 63:[76, 11, 49, 73], Operations: [] Exploring Operation: 76+11=87, Resulting Numbers: [49, 73, 87] Generated Node #2: [49, 73, 87] from Operation: 76+11=87 Current State: 63:[49, 73, 87], Operations: ['76+11=87'] Exploring Operation: 73-49=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 73-49=24 Current State: 63:[87, 24], Operations: ['76+11=87', '73-49=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 70, 78, 26 ]
62
[ "70/7=10", "78-26=52", "10+52=62" ]
Current State: 62:[7, 70, 78, 26], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [78, 26, 10] Generated Node #2: [78, 26, 10] from Operation: 70/7=10 Current State: 62:[78, 26, 10], Operations: ['70/7=10'] Exploring Operation: 78-26=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 78-26=52 Current State: 62:[10, 52], Operations: ['70/7=10', '78-26=52'] Exploring Operation: 10+52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 75, 18, 55, 51 ]
48
[ "75+51=126", "126/18=7", "55-7=48" ]
Current State: 48:[75, 18, 55, 51], Operations: [] Exploring Operation: 75+51=126, Resulting Numbers: [18, 55, 126] Generated Node #2: [18, 55, 126] from Operation: 75+51=126 Current State: 48:[18, 55, 126], Operations: ['75+51=126'] Exploring Operation: 126/18=7, Resulting Numbers: [55, 7] Generated Node #3: [55, 7] from Operation: 126/18=7 Current State: 48:[55, 7], Operations: ['75+51=126', '126/18=7'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 50, 8, 57, 47 ]
48
[ "50+8=58", "57-47=10", "58-10=48" ]
Current State: 48:[50, 8, 57, 47], Operations: [] Exploring Operation: 50+8=58, Resulting Numbers: [57, 47, 58] Generated Node #2: [57, 47, 58] from Operation: 50+8=58 Current State: 48:[57, 47, 58], Operations: ['50+8=58'] Exploring Operation: 57-47=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 57-47=10 Current State: 48:[58, 10], Operations: ['50+8=58', '57-47=10'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 76, 8, 7, 94 ]
19
[ "76-8=68", "94-7=87", "87-68=19" ]
Current State: 19:[76, 8, 7, 94], Operations: [] Exploring Operation: 76-8=68, Resulting Numbers: [7, 94, 68] Generated Node #2: [7, 94, 68] from Operation: 76-8=68 Current State: 19:[7, 94, 68], Operations: ['76-8=68'] Exploring Operation: 94-7=87, Resulting Numbers: [68, 87] Generated Node #3: [68, 87] from Operation: 94-7=87 Current State: 19:[68, 87], Operations: ['76-8=68', '94-7=87'] Exploring Operation: 87-68=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 59, 54, 94, 76 ]
57
[ "59+54=113", "94+76=170", "170-113=57" ]
Current State: 57:[59, 54, 94, 76], Operations: [] Exploring Operation: 59+54=113, Resulting Numbers: [94, 76, 113] Generated Node #2: [94, 76, 113] from Operation: 59+54=113 Current State: 57:[94, 76, 113], Operations: ['59+54=113'] Exploring Operation: 94+76=170, Resulting Numbers: [113, 170] Generated Node #3: [113, 170] from Operation: 94+76=170 Current State: 57:[113, 170], Operations: ['59+54=113', '94+76=170'] Exploring Operation: 170-113=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 87, 14, 1, 12 ]
90
[ "87+14=101", "12-1=11", "101-11=90" ]
Current State: 90:[87, 14, 1, 12], Operations: [] Exploring Operation: 87+14=101, Resulting Numbers: [1, 12, 101] Generated Node #2: [1, 12, 101] from Operation: 87+14=101 Current State: 90:[1, 12, 101], Operations: ['87+14=101'] Exploring Operation: 12-1=11, Resulting Numbers: [101, 11] Generated Node #3: [101, 11] from Operation: 12-1=11 Current State: 90:[101, 11], Operations: ['87+14=101', '12-1=11'] Exploring Operation: 101-11=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 81, 15, 68, 14 ]
42
[ "81+15=96", "68-14=54", "96-54=42" ]
Current State: 42:[81, 15, 68, 14], Operations: [] Exploring Operation: 81+15=96, Resulting Numbers: [68, 14, 96] Generated Node #2: [68, 14, 96] from Operation: 81+15=96 Current State: 42:[68, 14, 96], Operations: ['81+15=96'] Exploring Operation: 68-14=54, Resulting Numbers: [96, 54] Generated Node #3: [96, 54] from Operation: 68-14=54 Current State: 42:[96, 54], Operations: ['81+15=96', '68-14=54'] Exploring Operation: 96-54=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 9, 57, 57 ]
62
[ "43+9=52", "57+57=114", "114-52=62" ]
Current State: 62:[43, 9, 57, 57], Operations: [] Exploring Operation: 43+9=52, Resulting Numbers: [57, 57, 52] Generated Node #2: [57, 57, 52] from Operation: 43+9=52 Current State: 62:[57, 57, 52], Operations: ['43+9=52'] Exploring Operation: 57+57=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 57+57=114 Current State: 62:[52, 114], Operations: ['43+9=52', '57+57=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 87, 45, 3 ]
83
[ "45/45=1", "87-3=84", "84-1=83" ]
Current State: 83:[45, 87, 45, 3], Operations: [] Exploring Operation: 45/45=1, Resulting Numbers: [87, 3, 1] Generated Node #2: [87, 3, 1] from Operation: 45/45=1 Current State: 83:[87, 3, 1], Operations: ['45/45=1'] Exploring Operation: 87-3=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 87-3=84 Current State: 83:[1, 84], Operations: ['45/45=1', '87-3=84'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 94, 50, 72, 96 ]
86
[ "96-94=2", "72/2=36", "50+36=86" ]
Current State: 86:[94, 50, 72, 96], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [50, 72, 2] Generated Node #2: [50, 72, 2] from Operation: 96-94=2 Current State: 86:[50, 72, 2], Operations: ['96-94=2'] Exploring Operation: 72/2=36, Resulting Numbers: [50, 36] Generated Node #3: [50, 36] from Operation: 72/2=36 Current State: 86:[50, 36], Operations: ['96-94=2', '72/2=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 78, 86, 7, 72 ]
76
[ "86-72=14", "14/7=2", "78-2=76" ]
Current State: 76:[78, 86, 7, 72], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [78, 7, 14] Generated Node #2: [78, 7, 14] from Operation: 86-72=14 Current State: 76:[78, 7, 14], Operations: ['86-72=14'] Exploring Operation: 14/7=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 14/7=2 Current State: 76:[78, 2], Operations: ['86-72=14', '14/7=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 50, 58, 66, 36 ]
63
[ "50+58=108", "108/36=3", "66-3=63" ]
Current State: 63:[50, 58, 66, 36], Operations: [] Exploring Operation: 50+58=108, Resulting Numbers: [66, 36, 108] Generated Node #2: [66, 36, 108] from Operation: 50+58=108 Current State: 63:[66, 36, 108], Operations: ['50+58=108'] Exploring Operation: 108/36=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 108/36=3 Current State: 63:[66, 3], Operations: ['50+58=108', '108/36=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 69, 31, 23 ]
58
[ "81*23=1863", "1863/69=27", "31+27=58" ]
Current State: 58:[81, 69, 31, 23], Operations: [] Exploring Operation: 81*23=1863, Resulting Numbers: [69, 31, 1863] Generated Node #2: [69, 31, 1863] from Operation: 81*23=1863 Current State: 58:[69, 31, 1863], Operations: ['81*23=1863'] Exploring Operation: 1863/69=27, Resulting Numbers: [31, 27] Generated Node #3: [31, 27] from Operation: 1863/69=27 Current State: 58:[31, 27], Operations: ['81*23=1863', '1863/69=27'] Exploring Operation: 31+27=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 38, 43, 43, 41 ]
86
[ "41-38=3", "43*3=129", "129-43=86" ]
Current State: 86:[38, 43, 43, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [43, 43, 3] Generated Node #2: [43, 43, 3] from Operation: 41-38=3 Current State: 86:[43, 43, 3], Operations: ['41-38=3'] Exploring Operation: 43*3=129, Resulting Numbers: [129] 129,86 equal: Goal Reached Exploring Operation: 129-43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 15, 41, 58, 51 ]
33
[ "41-15=26", "58-51=7", "26+7=33" ]
Current State: 33:[15, 41, 58, 51], Operations: [] Exploring Operation: 41-15=26, Resulting Numbers: [58, 51, 26] Generated Node #2: [58, 51, 26] from Operation: 41-15=26 Current State: 33:[58, 51, 26], Operations: ['41-15=26'] Exploring Operation: 58-51=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 58-51=7 Current State: 33:[26, 7], Operations: ['41-15=26', '58-51=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 69, 73, 58, 28 ]
56
[ "69+73=142", "58+28=86", "142-86=56" ]
Current State: 56:[69, 73, 58, 28], Operations: [] Exploring Operation: 69+73=142, Resulting Numbers: [58, 28, 142] Generated Node #2: [58, 28, 142] from Operation: 69+73=142 Current State: 56:[58, 28, 142], Operations: ['69+73=142'] Exploring Operation: 58+28=86, Resulting Numbers: [142, 86] Generated Node #3: [142, 86] from Operation: 58+28=86 Current State: 56:[142, 86], Operations: ['69+73=142', '58+28=86'] Exploring Operation: 142-86=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 22, 31, 8, 65 ]
82
[ "31-22=9", "8+65=73", "9+73=82" ]
Current State: 82:[22, 31, 8, 65], Operations: [] Exploring Operation: 31-22=9, Resulting Numbers: [8, 65, 9] Generated Node #2: [8, 65, 9] from Operation: 31-22=9 Current State: 82:[8, 65, 9], Operations: ['31-22=9'] Exploring Operation: 8+65=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 8+65=73 Current State: 82:[9, 73], Operations: ['31-22=9', '8+65=73'] Exploring Operation: 9+73=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 47, 2, 51, 11 ]
22
[ "47+2=49", "51-49=2", "11*2=22" ]
Current State: 22:[47, 2, 51, 11], Operations: [] Exploring Operation: 47+2=49, Resulting Numbers: [51, 11, 49] Generated Node #2: [51, 11, 49] from Operation: 47+2=49 Current State: 22:[51, 11, 49], Operations: ['47+2=49'] Exploring Operation: 51-49=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 51-49=2 Current State: 22:[11, 2], Operations: ['47+2=49', '51-49=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 51, 72, 21, 60 ]
74
[ "51-21=30", "60/30=2", "72+2=74" ]
Current State: 74:[51, 72, 21, 60], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [72, 60, 30] Generated Node #2: [72, 60, 30] from Operation: 51-21=30 Current State: 74:[72, 60, 30], Operations: ['51-21=30'] Exploring Operation: 60/30=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 60/30=2 Current State: 74:[72, 2], Operations: ['51-21=30', '60/30=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 73, 44, 62, 65 ]
87
[ "73-44=29", "65-62=3", "29*3=87" ]
Current State: 87:[73, 44, 62, 65], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [62, 65, 29] Generated Node #2: [62, 65, 29] from Operation: 73-44=29 Current State: 87:[62, 65, 29], Operations: ['73-44=29'] Exploring Operation: 65-62=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 65-62=3 Current State: 87:[29, 3], Operations: ['73-44=29', '65-62=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 28, 3, 4, 50 ]
30
[ "28*3=84", "4+50=54", "84-54=30" ]
Current State: 30:[28, 3, 4, 50], Operations: [] Exploring Operation: 28*3=84, Resulting Numbers: [4, 50, 84] Generated Node #2: [4, 50, 84] from Operation: 28*3=84 Current State: 30:[4, 50, 84], Operations: ['28*3=84'] Exploring Operation: 4+50=54, Resulting Numbers: [84, 54] Generated Node #3: [84, 54] from Operation: 4+50=54 Current State: 30:[84, 54], Operations: ['28*3=84', '4+50=54'] Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 68, 42, 18 ]
48
[ "42/21=2", "68-18=50", "50-2=48" ]
Current State: 48:[21, 68, 42, 18], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [68, 18, 2] Generated Node #2: [68, 18, 2] from Operation: 42/21=2 Current State: 48:[68, 18, 2], Operations: ['42/21=2'] Exploring Operation: 68-18=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 68-18=50 Current State: 48:[2, 50], Operations: ['42/21=2', '68-18=50'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 67, 23, 12, 91 ]
25
[ "91-67=24", "24/12=2", "23+2=25" ]
Current State: 25:[67, 23, 12, 91], Operations: [] Exploring Operation: 91-67=24, Resulting Numbers: [23, 12, 24] Generated Node #2: [23, 12, 24] from Operation: 91-67=24 Current State: 25:[23, 12, 24], Operations: ['91-67=24'] Exploring Operation: 24/12=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 24/12=2 Current State: 25:[23, 2], Operations: ['91-67=24', '24/12=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 94, 80, 8, 92 ]
36
[ "94-92=2", "80-8=72", "72/2=36" ]
Current State: 36:[94, 80, 8, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [80, 8, 2] Generated Node #2: [80, 8, 2] from Operation: 94-92=2 Current State: 36:[80, 8, 2], Operations: ['94-92=2'] Exploring Operation: 80-8=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 80-8=72 Current State: 36:[2, 72], Operations: ['94-92=2', '80-8=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 2, 43, 49 ]
48
[ "90-43=47", "49+47=96", "96/2=48" ]
Current State: 48:[90, 2, 43, 49], Operations: [] Exploring Operation: 90-43=47, Resulting Numbers: [2, 49, 47] Generated Node #2: [2, 49, 47] from Operation: 90-43=47 Current State: 48:[2, 49, 47], Operations: ['90-43=47'] Exploring Operation: 49+47=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 49+47=96 Current State: 48:[2, 96], Operations: ['90-43=47', '49+47=96'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 2, 13, 14, 65 ]
18
[ "65/13=5", "14-5=9", "2*9=18" ]
Current State: 18:[2, 13, 14, 65], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [2, 14, 5] Generated Node #2: [2, 14, 5] from Operation: 65/13=5 Current State: 18:[2, 14, 5], Operations: ['65/13=5'] Exploring Operation: 14-5=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 14-5=9 Current State: 18:[2, 9], Operations: ['65/13=5', '14-5=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 14, 7, 63, 99 ]
92
[ "63-14=49", "49/7=7", "99-7=92" ]
Current State: 92:[14, 7, 63, 99], Operations: [] Exploring Operation: 63-14=49, Resulting Numbers: [7, 99, 49] Generated Node #2: [7, 99, 49] from Operation: 63-14=49 Current State: 92:[7, 99, 49], Operations: ['63-14=49'] Exploring Operation: 49/7=7, Resulting Numbers: [99, 7] Generated Node #3: [99, 7] from Operation: 49/7=7 Current State: 92:[99, 7], Operations: ['63-14=49', '49/7=7'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 18, 78, 48 ]
23
[ "46*48=2208", "18+78=96", "2208/96=23" ]
Current State: 23:[46, 18, 78, 48], Operations: [] Exploring Operation: 46*48=2208, Resulting Numbers: [18, 78, 2208] Generated Node #2: [18, 78, 2208] from Operation: 46*48=2208 Current State: 23:[18, 78, 2208], Operations: ['46*48=2208'] Exploring Operation: 18+78=96, Resulting Numbers: [2208, 96] Generated Node #3: [2208, 96] from Operation: 18+78=96 Current State: 23:[2208, 96], Operations: ['46*48=2208', '18+78=96'] Exploring Operation: 2208/96=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 37, 56, 57, 59 ]
95
[ "37+56=93", "59-57=2", "93+2=95" ]
Current State: 95:[37, 56, 57, 59], Operations: [] Exploring Operation: 37+56=93, Resulting Numbers: [57, 59, 93] Generated Node #2: [57, 59, 93] from Operation: 37+56=93 Current State: 95:[57, 59, 93], Operations: ['37+56=93'] Exploring Operation: 59-57=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 59-57=2 Current State: 95:[93, 2], Operations: ['37+56=93', '59-57=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 2, 16, 2 ]
88
[ "13-2=11", "16/2=8", "11*8=88" ]
Current State: 88:[13, 2, 16, 2], Operations: [] Exploring Operation: 13-2=11, Resulting Numbers: [16, 11] Generated Node #2: [16, 11] from Operation: 13-2=11 Current State: 88:[16, 11], Operations: ['13-2=11'] Exploring Operation: 16/2=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 16/2=8 Current State: 88:[11, 8], Operations: ['13-2=11', '16/2=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 16, 21, 67 ]
91
[ "48/16=3", "21+67=88", "3+88=91" ]
Current State: 91:[48, 16, 21, 67], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [21, 67, 3] Generated Node #2: [21, 67, 3] from Operation: 48/16=3 Current State: 91:[21, 67, 3], Operations: ['48/16=3'] Exploring Operation: 21+67=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 21+67=88 Current State: 91:[3, 88], Operations: ['48/16=3', '21+67=88'] Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 66, 49, 35, 25 ]
55
[ "66+49=115", "35+25=60", "115-60=55" ]
Current State: 55:[66, 49, 35, 25], Operations: [] Exploring Operation: 66+49=115, Resulting Numbers: [35, 25, 115] Generated Node #2: [35, 25, 115] from Operation: 66+49=115 Current State: 55:[35, 25, 115], Operations: ['66+49=115'] Exploring Operation: 35+25=60, Resulting Numbers: [115, 60] Generated Node #3: [115, 60] from Operation: 35+25=60 Current State: 55:[115, 60], Operations: ['66+49=115', '35+25=60'] Exploring Operation: 115-60=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 59, 63, 82 ]
32
[ "63/7=9", "82-59=23", "9+23=32" ]
Current State: 32:[7, 59, 63, 82], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [59, 82, 9] Generated Node #2: [59, 82, 9] from Operation: 63/7=9 Current State: 32:[59, 82, 9], Operations: ['63/7=9'] Exploring Operation: 82-59=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 82-59=23 Current State: 32:[9, 23], Operations: ['63/7=9', '82-59=23'] Exploring Operation: 9+23=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 22, 44, 3 ]
70
[ "44-28=16", "3*16=48", "22+48=70" ]
Current State: 70:[28, 22, 44, 3], Operations: [] Exploring Operation: 44-28=16, Resulting Numbers: [22, 3, 16] Generated Node #2: [22, 3, 16] from Operation: 44-28=16 Current State: 70:[22, 3, 16], Operations: ['44-28=16'] Exploring Operation: 3*16=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 3*16=48 Current State: 70:[22, 48], Operations: ['44-28=16', '3*16=48'] Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 14, 81, 50 ]
75
[ "81-60=21", "50*21=1050", "1050/14=75" ]
Current State: 75:[60, 14, 81, 50], Operations: [] Exploring Operation: 81-60=21, Resulting Numbers: [14, 50, 21] Generated Node #2: [14, 50, 21] from Operation: 81-60=21 Current State: 75:[14, 50, 21], Operations: ['81-60=21'] Exploring Operation: 50*21=1050, Resulting Numbers: [14, 1050] Generated Node #3: [14, 1050] from Operation: 50*21=1050 Current State: 75:[14, 1050], Operations: ['81-60=21', '50*21=1050'] Exploring Operation: 1050/14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 56, 52, 23, 79 ]
13
[ "56-52=4", "23*4=92", "92-79=13" ]
Current State: 13:[56, 52, 23, 79], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [23, 79, 4] Generated Node #2: [23, 79, 4] from Operation: 56-52=4 Current State: 13:[23, 79, 4], Operations: ['56-52=4'] Exploring Operation: 23*4=92, Resulting Numbers: [79, 92] Generated Node #3: [79, 92] from Operation: 23*4=92 Current State: 13:[79, 92], Operations: ['56-52=4', '23*4=92'] Exploring Operation: 92-79=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 80, 48, 98 ]
95
[ "64+80=144", "144/48=3", "98-3=95" ]
Current State: 95:[64, 80, 48, 98], Operations: [] Exploring Operation: 64+80=144, Resulting Numbers: [48, 98, 144] Generated Node #2: [48, 98, 144] from Operation: 64+80=144 Current State: 95:[48, 98, 144], Operations: ['64+80=144'] Exploring Operation: 144/48=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 144/48=3 Current State: 95:[98, 3], Operations: ['64+80=144', '144/48=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 46, 4, 3, 2 ]
32
[ "46*2=92", "4+92=96", "96/3=32" ]
Current State: 32:[46, 4, 3, 2], Operations: [] Exploring Operation: 46*2=92, Resulting Numbers: [4, 3, 92] Generated Node #2: [4, 3, 92] from Operation: 46*2=92 Current State: 32:[4, 3, 92], Operations: ['46*2=92'] Exploring Operation: 4+92=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 4+92=96 Current State: 32:[3, 96], Operations: ['46*2=92', '4+92=96'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 3, 26, 78 ]
68
[ "62+3=65", "78/26=3", "65+3=68" ]
Current State: 68:[62, 3, 26, 78], Operations: [] Exploring Operation: 62+3=65, Resulting Numbers: [26, 78, 65] Generated Node #2: [26, 78, 65] from Operation: 62+3=65 Current State: 68:[26, 78, 65], Operations: ['62+3=65'] Exploring Operation: 78/26=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 78/26=3 Current State: 68:[65, 3], Operations: ['62+3=65', '78/26=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 49, 65, 69 ]
46
[ "1+49=50", "69-65=4", "50-4=46" ]
Current State: 46:[1, 49, 65, 69], Operations: [] Exploring Operation: 1+49=50, Resulting Numbers: [65, 69, 50] Generated Node #2: [65, 69, 50] from Operation: 1+49=50 Current State: 46:[65, 69, 50], Operations: ['1+49=50'] Exploring Operation: 69-65=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 69-65=4 Current State: 46:[50, 4], Operations: ['1+49=50', '69-65=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 30, 56, 45 ]
51
[ "30-21=9", "45/9=5", "56-5=51" ]
Current State: 51:[21, 30, 56, 45], Operations: [] Exploring Operation: 30-21=9, Resulting Numbers: [56, 45, 9] Generated Node #2: [56, 45, 9] from Operation: 30-21=9 Current State: 51:[56, 45, 9], Operations: ['30-21=9'] Exploring Operation: 45/9=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 45/9=5 Current State: 51:[56, 5], Operations: ['30-21=9', '45/9=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 23, 9, 13, 17 ]
73
[ "23-13=10", "9*10=90", "90-17=73" ]
Current State: 73:[23, 9, 13, 17], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [9, 17, 10] Generated Node #2: [9, 17, 10] from Operation: 23-13=10 Current State: 73:[9, 17, 10], Operations: ['23-13=10'] Exploring Operation: 9*10=90, Resulting Numbers: [17, 90] Generated Node #3: [17, 90] from Operation: 9*10=90 Current State: 73:[17, 90], Operations: ['23-13=10', '9*10=90'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 50, 26, 82, 38 ]
96
[ "50-26=24", "82+38=120", "120-24=96" ]
Current State: 96:[50, 26, 82, 38], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [82, 38, 24] Generated Node #2: [82, 38, 24] from Operation: 50-26=24 Current State: 96:[82, 38, 24], Operations: ['50-26=24'] Exploring Operation: 82+38=120, Resulting Numbers: [24, 120] Generated Node #3: [24, 120] from Operation: 82+38=120 Current State: 96:[24, 120], Operations: ['50-26=24', '82+38=120'] Exploring Operation: 120-24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 23, 14, 42, 86 ]
21
[ "86-23=63", "42/14=3", "63/3=21" ]
Current State: 21:[23, 14, 42, 86], Operations: [] Exploring Operation: 86-23=63, Resulting Numbers: [14, 42, 63] Generated Node #2: [14, 42, 63] from Operation: 86-23=63 Current State: 21:[14, 42, 63], Operations: ['86-23=63'] Exploring Operation: 42/14=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 42/14=3 Current State: 21:[63, 3], Operations: ['86-23=63', '42/14=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 42, 37, 88, 63 ]
95
[ "88*63=5544", "5544/42=132", "132-37=95" ]
Current State: 95:[42, 37, 88, 63], Operations: [] Exploring Operation: 88*63=5544, Resulting Numbers: [42, 37, 5544] Generated Node #2: [42, 37, 5544] from Operation: 88*63=5544 Current State: 95:[42, 37, 5544], Operations: ['88*63=5544'] Exploring Operation: 5544/42=132, Resulting Numbers: [37, 132] Generated Node #3: [37, 132] from Operation: 5544/42=132 Current State: 95:[37, 132], Operations: ['88*63=5544', '5544/42=132'] Exploring Operation: 132-37=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 73, 6, 4, 91 ]
27
[ "91-73=18", "6*18=108", "108/4=27" ]
Current State: 27:[73, 6, 4, 91], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [6, 4, 18] Generated Node #2: [6, 4, 18] from Operation: 91-73=18 Current State: 27:[6, 4, 18], Operations: ['91-73=18'] Exploring Operation: 6*18=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 6*18=108 Current State: 27:[4, 108], Operations: ['91-73=18', '6*18=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 90, 68, 60 ]
14
[ "2*68=136", "90+60=150", "150-136=14" ]
Current State: 14:[2, 90, 68, 60], Operations: [] Exploring Operation: 2*68=136, Resulting Numbers: [90, 60, 136] Generated Node #2: [90, 60, 136] from Operation: 2*68=136 Current State: 14:[90, 60, 136], Operations: ['2*68=136'] Exploring Operation: 90+60=150, Resulting Numbers: [136, 150] Generated Node #3: [136, 150] from Operation: 90+60=150 Current State: 14:[136, 150], Operations: ['2*68=136', '90+60=150'] Exploring Operation: 150-136=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 85, 90, 18 ]
59
[ "13*18=234", "85+90=175", "234-175=59" ]
Current State: 59:[13, 85, 90, 18], Operations: [] Exploring Operation: 13*18=234, Resulting Numbers: [85, 90, 234] Generated Node #2: [85, 90, 234] from Operation: 13*18=234 Current State: 59:[85, 90, 234], Operations: ['13*18=234'] Exploring Operation: 85+90=175, Resulting Numbers: [234, 175] Generated Node #3: [234, 175] from Operation: 85+90=175 Current State: 59:[234, 175], Operations: ['13*18=234', '85+90=175'] Exploring Operation: 234-175=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 52, 78, 98 ]
21
[ "52-11=41", "98-78=20", "41-20=21" ]
Current State: 21:[11, 52, 78, 98], Operations: [] Exploring Operation: 52-11=41, Resulting Numbers: [78, 98, 41] Generated Node #2: [78, 98, 41] from Operation: 52-11=41 Current State: 21:[78, 98, 41], Operations: ['52-11=41'] Exploring Operation: 98-78=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 98-78=20 Current State: 21:[41, 20], Operations: ['52-11=41', '98-78=20'] Exploring Operation: 41-20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 1, 34, 40 ]
81
[ "74+1=75", "40-34=6", "75+6=81" ]
Current State: 81:[74, 1, 34, 40], Operations: [] Exploring Operation: 74+1=75, Resulting Numbers: [34, 40, 75] Generated Node #2: [34, 40, 75] from Operation: 74+1=75 Current State: 81:[34, 40, 75], Operations: ['74+1=75'] Exploring Operation: 40-34=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 40-34=6 Current State: 81:[75, 6], Operations: ['74+1=75', '40-34=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 24, 43, 53 ]
50
[ "64-24=40", "53-43=10", "40+10=50" ]
Current State: 50:[64, 24, 43, 53], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [43, 53, 40] Generated Node #2: [43, 53, 40] from Operation: 64-24=40 Current State: 50:[43, 53, 40], Operations: ['64-24=40'] Exploring Operation: 53-43=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 53-43=10 Current State: 50:[40, 10], Operations: ['64-24=40', '53-43=10'] Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 54, 48, 64, 32 ]
56
[ "64-48=16", "32/16=2", "54+2=56" ]
Current State: 56:[54, 48, 64, 32], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [54, 32, 16] Generated Node #2: [54, 32, 16] from Operation: 64-48=16 Current State: 56:[54, 32, 16], Operations: ['64-48=16'] Exploring Operation: 32/16=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 32/16=2 Current State: 56:[54, 2], Operations: ['64-48=16', '32/16=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 24, 72, 64 ]
52
[ "24/4=6", "72/6=12", "64-12=52" ]
Current State: 52:[4, 24, 72, 64], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [72, 64, 6] Generated Node #2: [72, 64, 6] from Operation: 24/4=6 Current State: 52:[72, 64, 6], Operations: ['24/4=6'] Exploring Operation: 72/6=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 72/6=12 Current State: 52:[64, 12], Operations: ['24/4=6', '72/6=12'] Exploring Operation: 64-12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 63, 30, 20, 89 ]
24
[ "63+30=93", "89-20=69", "93-69=24" ]
Current State: 24:[63, 30, 20, 89], Operations: [] Exploring Operation: 63+30=93, Resulting Numbers: [20, 89, 93] Generated Node #2: [20, 89, 93] from Operation: 63+30=93 Current State: 24:[20, 89, 93], Operations: ['63+30=93'] Exploring Operation: 89-20=69, Resulting Numbers: [93, 69] Generated Node #3: [93, 69] from Operation: 89-20=69 Current State: 24:[93, 69], Operations: ['63+30=93', '89-20=69'] Exploring Operation: 93-69=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 33, 25, 15 ]
27
[ "10*15=150", "150/25=6", "33-6=27" ]
Current State: 27:[10, 33, 25, 15], Operations: [] Exploring Operation: 10*15=150, Resulting Numbers: [33, 25, 150] Generated Node #2: [33, 25, 150] from Operation: 10*15=150 Current State: 27:[33, 25, 150], Operations: ['10*15=150'] Exploring Operation: 150/25=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 150/25=6 Current State: 27:[33, 6], Operations: ['10*15=150', '150/25=6'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 16, 92, 85 ]
86
[ "75+16=91", "92+85=177", "177-91=86" ]
Current State: 86:[75, 16, 92, 85], Operations: [] Exploring Operation: 75+16=91, Resulting Numbers: [92, 85, 91] Generated Node #2: [92, 85, 91] from Operation: 75+16=91 Current State: 86:[92, 85, 91], Operations: ['75+16=91'] Exploring Operation: 92+85=177, Resulting Numbers: [91, 177] Generated Node #3: [91, 177] from Operation: 92+85=177 Current State: 86:[91, 177], Operations: ['75+16=91', '92+85=177'] Exploring Operation: 177-91=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 19, 74, 36, 28 ]
63
[ "74-19=55", "36-28=8", "55+8=63" ]
Current State: 63:[19, 74, 36, 28], Operations: [] Exploring Operation: 74-19=55, Resulting Numbers: [36, 28, 55] Generated Node #2: [36, 28, 55] from Operation: 74-19=55 Current State: 63:[36, 28, 55], Operations: ['74-19=55'] Exploring Operation: 36-28=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 36-28=8 Current State: 63:[55, 8], Operations: ['74-19=55', '36-28=8'] Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 9, 21, 49 ]
62
[ "81+9=90", "49-21=28", "90-28=62" ]
Current State: 62:[81, 9, 21, 49], Operations: [] Exploring Operation: 81+9=90, Resulting Numbers: [21, 49, 90] Generated Node #2: [21, 49, 90] from Operation: 81+9=90 Current State: 62:[21, 49, 90], Operations: ['81+9=90'] Exploring Operation: 49-21=28, Resulting Numbers: [90, 28] Generated Node #3: [90, 28] from Operation: 49-21=28 Current State: 62:[90, 28], Operations: ['81+9=90', '49-21=28'] Exploring Operation: 90-28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 96, 7, 5 ]
88
[ "7-5=2", "92*2=184", "184-96=88" ]
Current State: 88:[92, 96, 7, 5], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [92, 96, 2] Generated Node #2: [92, 96, 2] from Operation: 7-5=2 Current State: 88:[92, 96, 2], Operations: ['7-5=2'] Exploring Operation: 92*2=184, Resulting Numbers: [96, 184] Generated Node #3: [96, 184] from Operation: 92*2=184 Current State: 88:[96, 184], Operations: ['7-5=2', '92*2=184'] Exploring Operation: 184-96=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 85, 79, 3, 72 ]
75
[ "85-79=6", "72-3=69", "6+69=75" ]
Current State: 75:[85, 79, 3, 72], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [3, 72, 6] Generated Node #2: [3, 72, 6] from Operation: 85-79=6 Current State: 75:[3, 72, 6], Operations: ['85-79=6'] Exploring Operation: 72-3=69, Resulting Numbers: [6, 69] Generated Node #3: [6, 69] from Operation: 72-3=69 Current State: 75:[6, 69], Operations: ['85-79=6', '72-3=69'] Exploring Operation: 6+69=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 85, 17, 98, 14 ]
16
[ "85-17=68", "98-14=84", "84-68=16" ]
Current State: 16:[85, 17, 98, 14], Operations: [] Exploring Operation: 85-17=68, Resulting Numbers: [98, 14, 68] Generated Node #2: [98, 14, 68] from Operation: 85-17=68 Current State: 16:[98, 14, 68], Operations: ['85-17=68'] Exploring Operation: 98-14=84, Resulting Numbers: [68, 84] Generated Node #3: [68, 84] from Operation: 98-14=84 Current State: 16:[68, 84], Operations: ['85-17=68', '98-14=84'] Exploring Operation: 84-68=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 46, 82, 27 ]
65
[ "46-2=44", "82+27=109", "109-44=65" ]
Current State: 65:[2, 46, 82, 27], Operations: [] Exploring Operation: 46-2=44, Resulting Numbers: [82, 27, 44] Generated Node #2: [82, 27, 44] from Operation: 46-2=44 Current State: 65:[82, 27, 44], Operations: ['46-2=44'] Exploring Operation: 82+27=109, Resulting Numbers: [44, 109] Generated Node #3: [44, 109] from Operation: 82+27=109 Current State: 65:[44, 109], Operations: ['46-2=44', '82+27=109'] Exploring Operation: 109-44=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 96, 96, 19, 16 ]
34
[ "96/96=1", "19+16=35", "35-1=34" ]
Current State: 34:[96, 96, 19, 16], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [19, 16, 1] Generated Node #2: [19, 16, 1] from Operation: 96/96=1 Current State: 34:[19, 16, 1], Operations: ['96/96=1'] Exploring Operation: 19+16=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 19+16=35 Current State: 34:[1, 35], Operations: ['96/96=1', '19+16=35'] Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 54, 9, 36 ]
82
[ "55+54=109", "36-9=27", "109-27=82" ]
Current State: 82:[55, 54, 9, 36], Operations: [] Exploring Operation: 55+54=109, Resulting Numbers: [9, 36, 109] Generated Node #2: [9, 36, 109] from Operation: 55+54=109 Current State: 82:[9, 36, 109], Operations: ['55+54=109'] Exploring Operation: 36-9=27, Resulting Numbers: [109, 27] Generated Node #3: [109, 27] from Operation: 36-9=27 Current State: 82:[109, 27], Operations: ['55+54=109', '36-9=27'] Exploring Operation: 109-27=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 19, 65, 2 ]
65
[ "2-2=0", "19*0=0", "65+0=65" ]
Current State: 65:[2, 19, 65, 2], Operations: [] Exploring Operation: 2-2=0, Resulting Numbers: [19, 65, 0] Generated Node #2: [19, 65, 0] from Operation: 2-2=0 Current State: 65:[19, 65, 0], Operations: ['2-2=0'] Exploring Operation: 19*0=0, Resulting Numbers: [65, 0] Generated Node #3: [65, 0] from Operation: 19*0=0 Current State: 65:[65, 0], Operations: ['2-2=0', '19*0=0'] Exploring Operation: 65+0=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 5, 62, 59, 89 ]
37
[ "5+62=67", "89-59=30", "67-30=37" ]
Current State: 37:[5, 62, 59, 89], Operations: [] Exploring Operation: 5+62=67, Resulting Numbers: [59, 89, 67] Generated Node #2: [59, 89, 67] from Operation: 5+62=67 Current State: 37:[59, 89, 67], Operations: ['5+62=67'] Exploring Operation: 89-59=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 89-59=30 Current State: 37:[67, 30], Operations: ['5+62=67', '89-59=30'] Exploring Operation: 67-30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 37, 11, 2 ]
60
[ "61+37=98", "98/2=49", "11+49=60" ]
Current State: 60:[61, 37, 11, 2], Operations: [] Exploring Operation: 61+37=98, Resulting Numbers: [11, 2, 98] Generated Node #2: [11, 2, 98] from Operation: 61+37=98 Current State: 60:[11, 2, 98], Operations: ['61+37=98'] Exploring Operation: 98/2=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 98/2=49 Current State: 60:[11, 49], Operations: ['61+37=98', '98/2=49'] Exploring Operation: 11+49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 8, 52, 59 ]
94
[ "9+8=17", "52+59=111", "111-17=94" ]
Current State: 94:[9, 8, 52, 59], Operations: [] Exploring Operation: 9+8=17, Resulting Numbers: [52, 59, 17] Generated Node #2: [52, 59, 17] from Operation: 9+8=17 Current State: 94:[52, 59, 17], Operations: ['9+8=17'] Exploring Operation: 52+59=111, Resulting Numbers: [17, 111] Generated Node #3: [17, 111] from Operation: 52+59=111 Current State: 94:[17, 111], Operations: ['9+8=17', '52+59=111'] Exploring Operation: 111-17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 78, 14, 77, 39 ]
70
[ "78/39=2", "14/2=7", "77-7=70" ]
Current State: 70:[78, 14, 77, 39], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [14, 77, 2] Generated Node #2: [14, 77, 2] from Operation: 78/39=2 Current State: 70:[14, 77, 2], Operations: ['78/39=2'] Exploring Operation: 14/2=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 14/2=7 Current State: 70:[77, 7], Operations: ['78/39=2', '14/2=7'] Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 31, 58, 10, 69 ]
52
[ "58-31=27", "10+69=79", "79-27=52" ]
Current State: 52:[31, 58, 10, 69], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [10, 69, 27] Generated Node #2: [10, 69, 27] from Operation: 58-31=27 Current State: 52:[10, 69, 27], Operations: ['58-31=27'] Exploring Operation: 10+69=79, Resulting Numbers: [27, 79] Generated Node #3: [27, 79] from Operation: 10+69=79 Current State: 52:[27, 79], Operations: ['58-31=27', '10+69=79'] Exploring Operation: 79-27=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 58, 55, 68 ]
75
[ "68-58=10", "2*10=20", "55+20=75" ]
Current State: 75:[2, 58, 55, 68], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [2, 55, 10] Generated Node #2: [2, 55, 10] from Operation: 68-58=10 Current State: 75:[2, 55, 10], Operations: ['68-58=10'] Exploring Operation: 2*10=20, Resulting Numbers: [55, 20] Generated Node #3: [55, 20] from Operation: 2*10=20 Current State: 75:[55, 20], Operations: ['68-58=10', '2*10=20'] Exploring Operation: 55+20=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 55, 43, 10 ]
33
[ "45+55=100", "100/10=10", "43-10=33" ]
Current State: 33:[45, 55, 43, 10], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [43, 10, 100] Generated Node #2: [43, 10, 100] from Operation: 45+55=100 Current State: 33:[43, 10, 100], Operations: ['45+55=100'] Exploring Operation: 100/10=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 100/10=10 Current State: 33:[43, 10], Operations: ['45+55=100', '100/10=10'] Exploring Operation: 43-10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 22, 97, 67 ]
52
[ "97-22=75", "75/5=15", "67-15=52" ]
Current State: 52:[5, 22, 97, 67], Operations: [] Exploring Operation: 97-22=75, Resulting Numbers: [5, 67, 75] Generated Node #2: [5, 67, 75] from Operation: 97-22=75 Current State: 52:[5, 67, 75], Operations: ['97-22=75'] Exploring Operation: 75/5=15, Resulting Numbers: [67, 15] Generated Node #3: [67, 15] from Operation: 75/5=15 Current State: 52:[67, 15], Operations: ['97-22=75', '75/5=15'] Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 8, 2, 86 ]
59
[ "86-11=75", "8*2=16", "75-16=59" ]
Current State: 59:[11, 8, 2, 86], Operations: [] Exploring Operation: 86-11=75, Resulting Numbers: [8, 2, 75] Generated Node #2: [8, 2, 75] from Operation: 86-11=75 Current State: 59:[8, 2, 75], Operations: ['86-11=75'] Exploring Operation: 8*2=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 8*2=16 Current State: 59:[75, 16], Operations: ['86-11=75', '8*2=16'] Exploring Operation: 75-16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 91, 21, 16 ]
38
[ "2*16=32", "91-21=70", "70-32=38" ]
Current State: 38:[2, 91, 21, 16], Operations: [] Exploring Operation: 2*16=32, Resulting Numbers: [91, 21, 32] Generated Node #2: [91, 21, 32] from Operation: 2*16=32 Current State: 38:[91, 21, 32], Operations: ['2*16=32'] Exploring Operation: 91-21=70, Resulting Numbers: [32, 70] Generated Node #3: [32, 70] from Operation: 91-21=70 Current State: 38:[32, 70], Operations: ['2*16=32', '91-21=70'] Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 66, 58, 75 ]
20
[ "66/22=3", "75-58=17", "3+17=20" ]
Current State: 20:[22, 66, 58, 75], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [58, 75, 3] Generated Node #2: [58, 75, 3] from Operation: 66/22=3 Current State: 20:[58, 75, 3], Operations: ['66/22=3'] Exploring Operation: 75-58=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 75-58=17 Current State: 20:[3, 17], Operations: ['66/22=3', '75-58=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4