nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 95, 37, 48, 79 ]
27
[ "95-37=58", "79-48=31", "58-31=27" ]
Current State: 27:[95, 37, 48, 79], Operations: [] Exploring Operation: 95-37=58, Resulting Numbers: [48, 79, 58] Generated Node #2: [48, 79, 58] from Operation: 95-37=58 Current State: 27:[48, 79, 58], Operations: ['95-37=58'] Exploring Operation: 79-48=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 79-48=31 Current State: 27:[58, 31], Operations: ['95-37=58', '79-48=31'] Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 5, 6, 28 ]
22
[ "5+28=33", "6*33=198", "198/9=22" ]
Current State: 22:[9, 5, 6, 28], Operations: [] Exploring Operation: 5+28=33, Resulting Numbers: [9, 6, 33] Generated Node #2: [9, 6, 33] from Operation: 5+28=33 Current State: 22:[9, 6, 33], Operations: ['5+28=33'] Exploring Operation: 6*33=198, Resulting Numbers: [9, 198] Generated Node #3: [9, 198] from Operation: 6*33=198 Current State: 22:[9, 198], Operations: ['5+28=33', '6*33=198'] Exploring Operation: 198/9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 38, 70, 42 ]
98
[ "38-34=4", "42*4=168", "168-70=98" ]
Current State: 98:[34, 38, 70, 42], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [70, 42, 4] Generated Node #2: [70, 42, 4] from Operation: 38-34=4 Current State: 98:[70, 42, 4], Operations: ['38-34=4'] Exploring Operation: 42*4=168, Resulting Numbers: [70, 168] Generated Node #3: [70, 168] from Operation: 42*4=168 Current State: 98:[70, 168], Operations: ['38-34=4', '42*4=168'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 72, 8, 4, 84 ]
37
[ "72-8=64", "84+64=148", "148/4=37" ]
Current State: 37:[72, 8, 4, 84], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [4, 84, 64] Generated Node #2: [4, 84, 64] from Operation: 72-8=64 Current State: 37:[4, 84, 64], Operations: ['72-8=64'] Exploring Operation: 84+64=148, Resulting Numbers: [4, 148] Generated Node #3: [4, 148] from Operation: 84+64=148 Current State: 37:[4, 148], Operations: ['72-8=64', '84+64=148'] Exploring Operation: 148/4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 74, 81, 33 ]
37
[ "57*74=4218", "81+33=114", "4218/114=37" ]
Current State: 37:[57, 74, 81, 33], Operations: [] Exploring Operation: 57*74=4218, Resulting Numbers: [81, 33, 4218] Generated Node #2: [81, 33, 4218] from Operation: 57*74=4218 Current State: 37:[81, 33, 4218], Operations: ['57*74=4218'] Exploring Operation: 81+33=114, Resulting Numbers: [4218, 114] Generated Node #3: [4218, 114] from Operation: 81+33=114 Current State: 37:[4218, 114], Operations: ['57*74=4218', '81+33=114'] Exploring Operation: 4218/114=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 89, 67, 86 ]
88
[ "89-86=3", "7*3=21", "67+21=88" ]
Current State: 88:[7, 89, 67, 86], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [7, 67, 3] Generated Node #2: [7, 67, 3] from Operation: 89-86=3 Current State: 88:[7, 67, 3], Operations: ['89-86=3'] Exploring Operation: 7*3=21, Resulting Numbers: [67, 21] Generated Node #3: [67, 21] from Operation: 7*3=21 Current State: 88:[67, 21], Operations: ['89-86=3', '7*3=21'] Exploring Operation: 67+21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 69, 67, 91 ]
57
[ "69+67=136", "136/4=34", "91-34=57" ]
Current State: 57:[4, 69, 67, 91], Operations: [] Exploring Operation: 69+67=136, Resulting Numbers: [4, 91, 136] Generated Node #2: [4, 91, 136] from Operation: 69+67=136 Current State: 57:[4, 91, 136], Operations: ['69+67=136'] Exploring Operation: 136/4=34, Resulting Numbers: [91, 34] Generated Node #3: [91, 34] from Operation: 136/4=34 Current State: 57:[91, 34], Operations: ['69+67=136', '136/4=34'] Exploring Operation: 91-34=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 19, 41, 63, 46 ]
82
[ "63-19=44", "46-44=2", "41*2=82" ]
Current State: 82:[19, 41, 63, 46], Operations: [] Exploring Operation: 63-19=44, Resulting Numbers: [41, 46, 44] Generated Node #2: [41, 46, 44] from Operation: 63-19=44 Current State: 82:[41, 46, 44], Operations: ['63-19=44'] Exploring Operation: 46-44=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 46-44=2 Current State: 82:[41, 2], Operations: ['63-19=44', '46-44=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 7, 10, 68 ]
66
[ "53*10=530", "530-68=462", "462/7=66" ]
Current State: 66:[53, 7, 10, 68], Operations: [] Exploring Operation: 53*10=530, Resulting Numbers: [7, 68, 530] Generated Node #2: [7, 68, 530] from Operation: 53*10=530 Current State: 66:[7, 68, 530], Operations: ['53*10=530'] Exploring Operation: 530-68=462, Resulting Numbers: [7, 462] Generated Node #3: [7, 462] from Operation: 530-68=462 Current State: 66:[7, 462], Operations: ['53*10=530', '530-68=462'] Exploring Operation: 462/7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 8, 7, 39 ]
33
[ "14/7=2", "39-8=31", "2+31=33" ]
Current State: 33:[14, 8, 7, 39], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [8, 39, 2] Generated Node #2: [8, 39, 2] from Operation: 14/7=2 Current State: 33:[8, 39, 2], Operations: ['14/7=2'] Exploring Operation: 39-8=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 39-8=31 Current State: 33:[2, 31], Operations: ['14/7=2', '39-8=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 58, 82, 69 ]
77
[ "6+58=64", "82-69=13", "64+13=77" ]
Current State: 77:[6, 58, 82, 69], Operations: [] Exploring Operation: 6+58=64, Resulting Numbers: [82, 69, 64] Generated Node #2: [82, 69, 64] from Operation: 6+58=64 Current State: 77:[82, 69, 64], Operations: ['6+58=64'] Exploring Operation: 82-69=13, Resulting Numbers: [64, 13] Generated Node #3: [64, 13] from Operation: 82-69=13 Current State: 77:[64, 13], Operations: ['6+58=64', '82-69=13'] Exploring Operation: 64+13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 68, 59, 61, 12 ]
82
[ "68-59=9", "61+12=73", "9+73=82" ]
Current State: 82:[68, 59, 61, 12], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [61, 12, 9] Generated Node #2: [61, 12, 9] from Operation: 68-59=9 Current State: 82:[61, 12, 9], Operations: ['68-59=9'] Exploring Operation: 61+12=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 61+12=73 Current State: 82:[9, 73], Operations: ['68-59=9', '61+12=73'] Exploring Operation: 9+73=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 95, 60, 98 ]
40
[ "2*60=120", "98-95=3", "120/3=40" ]
Current State: 40:[2, 95, 60, 98], Operations: [] Exploring Operation: 2*60=120, Resulting Numbers: [95, 98, 120] Generated Node #2: [95, 98, 120] from Operation: 2*60=120 Current State: 40:[95, 98, 120], Operations: ['2*60=120'] Exploring Operation: 98-95=3, Resulting Numbers: [120, 3] Generated Node #3: [120, 3] from Operation: 98-95=3 Current State: 40:[120, 3], Operations: ['2*60=120', '98-95=3'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 63, 23, 53, 6 ]
50
[ "63+6=69", "69/23=3", "53-3=50" ]
Current State: 50:[63, 23, 53, 6], Operations: [] Exploring Operation: 63+6=69, Resulting Numbers: [23, 53, 69] Generated Node #2: [23, 53, 69] from Operation: 63+6=69 Current State: 50:[23, 53, 69], Operations: ['63+6=69'] Exploring Operation: 69/23=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 69/23=3 Current State: 50:[53, 3], Operations: ['63+6=69', '69/23=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 54, 86, 75, 12 ]
77
[ "54+86=140", "75-12=63", "140-63=77" ]
Current State: 77:[54, 86, 75, 12], Operations: [] Exploring Operation: 54+86=140, Resulting Numbers: [75, 12, 140] Generated Node #2: [75, 12, 140] from Operation: 54+86=140 Current State: 77:[75, 12, 140], Operations: ['54+86=140'] Exploring Operation: 75-12=63, Resulting Numbers: [140, 63] Generated Node #3: [140, 63] from Operation: 75-12=63 Current State: 77:[140, 63], Operations: ['54+86=140', '75-12=63'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 76, 10, 38, 3 ]
50
[ "76/38=2", "3+2=5", "10*5=50" ]
Current State: 50:[76, 10, 38, 3], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [10, 3, 2] Generated Node #2: [10, 3, 2] from Operation: 76/38=2 Current State: 50:[10, 3, 2], Operations: ['76/38=2'] Exploring Operation: 3+2=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 3+2=5 Current State: 50:[10, 5], Operations: ['76/38=2', '3+2=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 99, 39, 33 ]
20
[ "99-73=26", "39-33=6", "26-6=20" ]
Current State: 20:[73, 99, 39, 33], Operations: [] Exploring Operation: 99-73=26, Resulting Numbers: [39, 33, 26] Generated Node #2: [39, 33, 26] from Operation: 99-73=26 Current State: 20:[39, 33, 26], Operations: ['99-73=26'] Exploring Operation: 39-33=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 39-33=6 Current State: 20:[26, 6], Operations: ['99-73=26', '39-33=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 61, 8, 62 ]
54
[ "61-61=0", "62-8=54", "0+54=54" ]
Current State: 54:[61, 61, 8, 62], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [8, 62, 0] Generated Node #2: [8, 62, 0] from Operation: 61-61=0 Current State: 54:[8, 62, 0], Operations: ['61-61=0'] Exploring Operation: 62-8=54, Resulting Numbers: [0, 54] Generated Node #3: [0, 54] from Operation: 62-8=54 Current State: 54:[0, 54], Operations: ['61-61=0', '62-8=54'] Exploring Operation: 0+54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 53, 5, 29 ]
92
[ "25/5=5", "29*5=145", "145-53=92" ]
Current State: 92:[25, 53, 5, 29], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [53, 29, 5] Generated Node #2: [53, 29, 5] from Operation: 25/5=5 Current State: 92:[53, 29, 5], Operations: ['25/5=5'] Exploring Operation: 29*5=145, Resulting Numbers: [53, 145] Generated Node #3: [53, 145] from Operation: 29*5=145 Current State: 92:[53, 145], Operations: ['25/5=5', '29*5=145'] Exploring Operation: 145-53=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 23, 66, 24, 85 ]
19
[ "24-23=1", "85-66=19", "1*19=19" ]
Current State: 19:[23, 66, 24, 85], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [66, 85, 1] Generated Node #2: [66, 85, 1] from Operation: 24-23=1 Current State: 19:[66, 85, 1], Operations: ['24-23=1'] Exploring Operation: 85-66=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 85-66=19 Current State: 19:[1, 19], Operations: ['24-23=1', '85-66=19'] Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 99, 48, 42 ]
53
[ "22*99=2178", "48+2178=2226", "2226/42=53" ]
Current State: 53:[22, 99, 48, 42], Operations: [] Exploring Operation: 22*99=2178, Resulting Numbers: [48, 42, 2178] Generated Node #2: [48, 42, 2178] from Operation: 22*99=2178 Current State: 53:[48, 42, 2178], Operations: ['22*99=2178'] Exploring Operation: 48+2178=2226, Resulting Numbers: [42, 2226] Generated Node #3: [42, 2226] from Operation: 48+2178=2226 Current State: 53:[42, 2226], Operations: ['22*99=2178', '48+2178=2226'] Exploring Operation: 2226/42=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 71, 2, 72 ]
27
[ "52/2=26", "72-71=1", "26+1=27" ]
Current State: 27:[52, 71, 2, 72], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [71, 72, 26] Generated Node #2: [71, 72, 26] from Operation: 52/2=26 Current State: 27:[71, 72, 26], Operations: ['52/2=26'] Exploring Operation: 72-71=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 72-71=1 Current State: 27:[26, 1], Operations: ['52/2=26', '72-71=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 42, 56, 14, 33 ]
51
[ "42+56=98", "14+33=47", "98-47=51" ]
Current State: 51:[42, 56, 14, 33], Operations: [] Exploring Operation: 42+56=98, Resulting Numbers: [14, 33, 98] Generated Node #2: [14, 33, 98] from Operation: 42+56=98 Current State: 51:[14, 33, 98], Operations: ['42+56=98'] Exploring Operation: 14+33=47, Resulting Numbers: [98, 47] Generated Node #3: [98, 47] from Operation: 14+33=47 Current State: 51:[98, 47], Operations: ['42+56=98', '14+33=47'] Exploring Operation: 98-47=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 79, 93, 53, 5 ]
34
[ "93-79=14", "53-5=48", "48-14=34" ]
Current State: 34:[79, 93, 53, 5], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [53, 5, 14] Generated Node #2: [53, 5, 14] from Operation: 93-79=14 Current State: 34:[53, 5, 14], Operations: ['93-79=14'] Exploring Operation: 53-5=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 53-5=48 Current State: 34:[14, 48], Operations: ['93-79=14', '53-5=48'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 28, 91, 52, 14 ]
30
[ "28*52=1456", "1456/91=16", "14+16=30" ]
Current State: 30:[28, 91, 52, 14], Operations: [] Exploring Operation: 28*52=1456, Resulting Numbers: [91, 14, 1456] Generated Node #2: [91, 14, 1456] from Operation: 28*52=1456 Current State: 30:[91, 14, 1456], Operations: ['28*52=1456'] Exploring Operation: 1456/91=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 1456/91=16 Current State: 30:[14, 16], Operations: ['28*52=1456', '1456/91=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 34, 68, 27 ]
11
[ "49-27=22", "68/34=2", "22/2=11" ]
Current State: 11:[49, 34, 68, 27], Operations: [] Exploring Operation: 49-27=22, Resulting Numbers: [34, 68, 22] Generated Node #2: [34, 68, 22] from Operation: 49-27=22 Current State: 11:[34, 68, 22], Operations: ['49-27=22'] Exploring Operation: 68/34=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 68/34=2 Current State: 11:[22, 2], Operations: ['49-27=22', '68/34=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 73, 21, 84 ]
92
[ "73-60=13", "21+84=105", "105-13=92" ]
Current State: 92:[60, 73, 21, 84], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [21, 84, 13] Generated Node #2: [21, 84, 13] from Operation: 73-60=13 Current State: 92:[21, 84, 13], Operations: ['73-60=13'] Exploring Operation: 21+84=105, Resulting Numbers: [13, 105] Generated Node #3: [13, 105] from Operation: 21+84=105 Current State: 92:[13, 105], Operations: ['73-60=13', '21+84=105'] Exploring Operation: 105-13=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 96, 6, 41 ]
26
[ "96-6=90", "90/6=15", "41-15=26" ]
Current State: 26:[6, 96, 6, 41], Operations: [] Exploring Operation: 96-6=90, Resulting Numbers: [41, 90] Generated Node #2: [41, 90] from Operation: 96-6=90 Current State: 26:[41, 90], Operations: ['96-6=90'] Exploring Operation: 90/6=15, Resulting Numbers: [41, 15] Generated Node #3: [41, 15] from Operation: 90/6=15 Current State: 26:[41, 15], Operations: ['96-6=90', '90/6=15'] Exploring Operation: 41-15=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 81, 58, 55, 52 ]
53
[ "81-52=29", "58/29=2", "55-2=53" ]
Current State: 53:[81, 58, 55, 52], Operations: [] Exploring Operation: 81-52=29, Resulting Numbers: [58, 55, 29] Generated Node #2: [58, 55, 29] from Operation: 81-52=29 Current State: 53:[58, 55, 29], Operations: ['81-52=29'] Exploring Operation: 58/29=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 58/29=2 Current State: 53:[55, 2], Operations: ['81-52=29', '58/29=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 69, 65, 1, 57 ]
78
[ "69+65=134", "57-1=56", "134-56=78" ]
Current State: 78:[69, 65, 1, 57], Operations: [] Exploring Operation: 69+65=134, Resulting Numbers: [1, 57, 134] Generated Node #2: [1, 57, 134] from Operation: 69+65=134 Current State: 78:[1, 57, 134], Operations: ['69+65=134'] Exploring Operation: 57-1=56, Resulting Numbers: [134, 56] Generated Node #3: [134, 56] from Operation: 57-1=56 Current State: 78:[134, 56], Operations: ['69+65=134', '57-1=56'] Exploring Operation: 134-56=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 35, 40, 40, 37 ]
15
[ "40-35=5", "40-37=3", "5*3=15" ]
Current State: 15:[35, 40, 40, 37], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [37, 5] Generated Node #2: [37, 5] from Operation: 40-35=5 Current State: 15:[37, 5], Operations: ['40-35=5'] Exploring Operation: 40-37=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 40-37=3 Current State: 15:[5, 3], Operations: ['40-35=5', '40-37=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 91, 75, 11, 66 ]
22
[ "91-75=16", "66/11=6", "16+6=22" ]
Current State: 22:[91, 75, 11, 66], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [11, 66, 16] Generated Node #2: [11, 66, 16] from Operation: 91-75=16 Current State: 22:[11, 66, 16], Operations: ['91-75=16'] Exploring Operation: 66/11=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 66/11=6 Current State: 22:[16, 6], Operations: ['91-75=16', '66/11=6'] Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 47, 41, 5 ]
22
[ "11+47=58", "41-5=36", "58-36=22" ]
Current State: 22:[11, 47, 41, 5], Operations: [] Exploring Operation: 11+47=58, Resulting Numbers: [41, 5, 58] Generated Node #2: [41, 5, 58] from Operation: 11+47=58 Current State: 22:[41, 5, 58], Operations: ['11+47=58'] Exploring Operation: 41-5=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 41-5=36 Current State: 22:[58, 36], Operations: ['11+47=58', '41-5=36'] Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 53, 3, 2, 97 ]
25
[ "53+97=150", "3*2=6", "150/6=25" ]
Current State: 25:[53, 3, 2, 97], Operations: [] Exploring Operation: 53+97=150, Resulting Numbers: [3, 2, 150] Generated Node #2: [3, 2, 150] from Operation: 53+97=150 Current State: 25:[3, 2, 150], Operations: ['53+97=150'] Exploring Operation: 3*2=6, Resulting Numbers: [150, 6] Generated Node #3: [150, 6] from Operation: 3*2=6 Current State: 25:[150, 6], Operations: ['53+97=150', '3*2=6'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 50, 25, 49, 35 ]
54
[ "35-25=10", "50/10=5", "49+5=54" ]
Current State: 54:[50, 25, 49, 35], Operations: [] Exploring Operation: 35-25=10, Resulting Numbers: [50, 49, 10] Generated Node #2: [50, 49, 10] from Operation: 35-25=10 Current State: 54:[50, 49, 10], Operations: ['35-25=10'] Exploring Operation: 50/10=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 50/10=5 Current State: 54:[49, 5], Operations: ['35-25=10', '50/10=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 93, 13, 52, 48 ]
41
[ "93-48=45", "52/13=4", "45-4=41" ]
Current State: 41:[93, 13, 52, 48], Operations: [] Exploring Operation: 93-48=45, Resulting Numbers: [13, 52, 45] Generated Node #2: [13, 52, 45] from Operation: 93-48=45 Current State: 41:[13, 52, 45], Operations: ['93-48=45'] Exploring Operation: 52/13=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 52/13=4 Current State: 41:[45, 4], Operations: ['93-48=45', '52/13=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 35, 45, 3, 40 ]
37
[ "35+45=80", "3+40=43", "80-43=37" ]
Current State: 37:[35, 45, 3, 40], Operations: [] Exploring Operation: 35+45=80, Resulting Numbers: [3, 40, 80] Generated Node #2: [3, 40, 80] from Operation: 35+45=80 Current State: 37:[3, 40, 80], Operations: ['35+45=80'] Exploring Operation: 3+40=43, Resulting Numbers: [80, 43] Generated Node #3: [80, 43] from Operation: 3+40=43 Current State: 37:[80, 43], Operations: ['35+45=80', '3+40=43'] Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 93, 27, 25, 83 ]
89
[ "25+83=108", "108/27=4", "93-4=89" ]
Current State: 89:[93, 27, 25, 83], Operations: [] Exploring Operation: 25+83=108, Resulting Numbers: [93, 27, 108] Generated Node #2: [93, 27, 108] from Operation: 25+83=108 Current State: 89:[93, 27, 108], Operations: ['25+83=108'] Exploring Operation: 108/27=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 108/27=4 Current State: 89:[93, 4], Operations: ['25+83=108', '108/27=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 64, 22, 93 ]
95
[ "64-40=24", "93-22=71", "24+71=95" ]
Current State: 95:[40, 64, 22, 93], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [22, 93, 24] Generated Node #2: [22, 93, 24] from Operation: 64-40=24 Current State: 95:[22, 93, 24], Operations: ['64-40=24'] Exploring Operation: 93-22=71, Resulting Numbers: [24, 71] Generated Node #3: [24, 71] from Operation: 93-22=71 Current State: 95:[24, 71], Operations: ['64-40=24', '93-22=71'] Exploring Operation: 24+71=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 48, 6, 51, 32 ]
50
[ "51-48=3", "6*3=18", "32+18=50" ]
Current State: 50:[48, 6, 51, 32], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [6, 32, 3] Generated Node #2: [6, 32, 3] from Operation: 51-48=3 Current State: 50:[6, 32, 3], Operations: ['51-48=3'] Exploring Operation: 6*3=18, Resulting Numbers: [32, 18] Generated Node #3: [32, 18] from Operation: 6*3=18 Current State: 50:[32, 18], Operations: ['51-48=3', '6*3=18'] Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 7, 74, 69 ]
45
[ "91+7=98", "74+69=143", "143-98=45" ]
Current State: 45:[91, 7, 74, 69], Operations: [] Exploring Operation: 91+7=98, Resulting Numbers: [74, 69, 98] Generated Node #2: [74, 69, 98] from Operation: 91+7=98 Current State: 45:[74, 69, 98], Operations: ['91+7=98'] Exploring Operation: 74+69=143, Resulting Numbers: [98, 143] Generated Node #3: [98, 143] from Operation: 74+69=143 Current State: 45:[98, 143], Operations: ['91+7=98', '74+69=143'] Exploring Operation: 143-98=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 81, 51, 87 ]
52
[ "51-48=3", "87/3=29", "81-29=52" ]
Current State: 52:[48, 81, 51, 87], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [81, 87, 3] Generated Node #2: [81, 87, 3] from Operation: 51-48=3 Current State: 52:[81, 87, 3], Operations: ['51-48=3'] Exploring Operation: 87/3=29, Resulting Numbers: [81, 29] Generated Node #3: [81, 29] from Operation: 87/3=29 Current State: 52:[81, 29], Operations: ['51-48=3', '87/3=29'] Exploring Operation: 81-29=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 94, 14, 38 ]
49
[ "94-38=56", "56/14=4", "53-4=49" ]
Current State: 49:[53, 94, 14, 38], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [53, 14, 56] Generated Node #2: [53, 14, 56] from Operation: 94-38=56 Current State: 49:[53, 14, 56], Operations: ['94-38=56'] Exploring Operation: 56/14=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 56/14=4 Current State: 49:[53, 4], Operations: ['94-38=56', '56/14=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 85, 28, 37, 38 ]
57
[ "85-28=57", "38-37=1", "57*1=57" ]
Current State: 57:[85, 28, 37, 38], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [37, 38, 57] Generated Node #2: [37, 38, 57] from Operation: 85-28=57 Current State: 57:[37, 38, 57], Operations: ['85-28=57'] Exploring Operation: 38-37=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 38-37=1 Current State: 57:[57, 1], Operations: ['85-28=57', '38-37=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 41, 27, 45 ]
46
[ "27/3=9", "45/9=5", "41+5=46" ]
Current State: 46:[3, 41, 27, 45], Operations: [] Exploring Operation: 27/3=9, Resulting Numbers: [41, 45, 9] Generated Node #2: [41, 45, 9] from Operation: 27/3=9 Current State: 46:[41, 45, 9], Operations: ['27/3=9'] Exploring Operation: 45/9=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 45/9=5 Current State: 46:[41, 5], Operations: ['27/3=9', '45/9=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 80, 96, 8 ]
16
[ "96-56=40", "80*8=640", "640/40=16" ]
Current State: 16:[56, 80, 96, 8], Operations: [] Exploring Operation: 96-56=40, Resulting Numbers: [80, 8, 40] Generated Node #2: [80, 8, 40] from Operation: 96-56=40 Current State: 16:[80, 8, 40], Operations: ['96-56=40'] Exploring Operation: 80*8=640, Resulting Numbers: [40, 640] Generated Node #3: [40, 640] from Operation: 80*8=640 Current State: 16:[40, 640], Operations: ['96-56=40', '80*8=640'] Exploring Operation: 640/40=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 60, 68, 27, 6 ]
66
[ "60-6=54", "54/27=2", "68-2=66" ]
Current State: 66:[60, 68, 27, 6], Operations: [] Exploring Operation: 60-6=54, Resulting Numbers: [68, 27, 54] Generated Node #2: [68, 27, 54] from Operation: 60-6=54 Current State: 66:[68, 27, 54], Operations: ['60-6=54'] Exploring Operation: 54/27=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 54/27=2 Current State: 66:[68, 2], Operations: ['60-6=54', '54/27=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 34, 3, 74, 85 ]
57
[ "34*3=102", "74+85=159", "159-102=57" ]
Current State: 57:[34, 3, 74, 85], Operations: [] Exploring Operation: 34*3=102, Resulting Numbers: [74, 85, 102] Generated Node #2: [74, 85, 102] from Operation: 34*3=102 Current State: 57:[74, 85, 102], Operations: ['34*3=102'] Exploring Operation: 74+85=159, Resulting Numbers: [102, 159] Generated Node #3: [102, 159] from Operation: 74+85=159 Current State: 57:[102, 159], Operations: ['34*3=102', '74+85=159'] Exploring Operation: 159-102=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 22, 20, 2, 51 ]
72
[ "22+20=42", "42/2=21", "51+21=72" ]
Current State: 72:[22, 20, 2, 51], Operations: [] Exploring Operation: 22+20=42, Resulting Numbers: [2, 51, 42] Generated Node #2: [2, 51, 42] from Operation: 22+20=42 Current State: 72:[2, 51, 42], Operations: ['22+20=42'] Exploring Operation: 42/2=21, Resulting Numbers: [51, 21] Generated Node #3: [51, 21] from Operation: 42/2=21 Current State: 72:[51, 21], Operations: ['22+20=42', '42/2=21'] Exploring Operation: 51+21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 49, 9, 86, 77 ]
49
[ "49+9=58", "86-77=9", "58-9=49" ]
Current State: 49:[49, 9, 86, 77], Operations: [] Exploring Operation: 49+9=58, Resulting Numbers: [86, 77, 58] Generated Node #2: [86, 77, 58] from Operation: 49+9=58 Current State: 49:[86, 77, 58], Operations: ['49+9=58'] Exploring Operation: 86-77=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 86-77=9 Current State: 49:[58, 9], Operations: ['49+9=58', '86-77=9'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 19, 36, 8 ]
86
[ "30+36=66", "19*8=152", "152-66=86" ]
Current State: 86:[30, 19, 36, 8], Operations: [] Exploring Operation: 30+36=66, Resulting Numbers: [19, 8, 66] Generated Node #2: [19, 8, 66] from Operation: 30+36=66 Current State: 86:[19, 8, 66], Operations: ['30+36=66'] Exploring Operation: 19*8=152, Resulting Numbers: [66, 152] Generated Node #3: [66, 152] from Operation: 19*8=152 Current State: 86:[66, 152], Operations: ['30+36=66', '19*8=152'] Exploring Operation: 152-66=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 25, 98, 55 ]
49
[ "55-5=50", "25*98=2450", "2450/50=49" ]
Current State: 49:[5, 25, 98, 55], Operations: [] Exploring Operation: 55-5=50, Resulting Numbers: [25, 98, 50] Generated Node #2: [25, 98, 50] from Operation: 55-5=50 Current State: 49:[25, 98, 50], Operations: ['55-5=50'] Exploring Operation: 25*98=2450, Resulting Numbers: [50, 2450] Generated Node #3: [50, 2450] from Operation: 25*98=2450 Current State: 49:[50, 2450], Operations: ['55-5=50', '25*98=2450'] Exploring Operation: 2450/50=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 97, 99, 63, 94 ]
32
[ "99-97=2", "63*2=126", "126-94=32" ]
Current State: 32:[97, 99, 63, 94], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [63, 94, 2] Generated Node #2: [63, 94, 2] from Operation: 99-97=2 Current State: 32:[63, 94, 2], Operations: ['99-97=2'] Exploring Operation: 63*2=126, Resulting Numbers: [94, 126] Generated Node #3: [94, 126] from Operation: 63*2=126 Current State: 32:[94, 126], Operations: ['99-97=2', '63*2=126'] Exploring Operation: 126-94=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 84, 90, 37, 53 ]
85
[ "90-37=53", "53/53=1", "84+1=85" ]
Current State: 85:[84, 90, 37, 53], Operations: [] Exploring Operation: 90-37=53, Resulting Numbers: [84, 53, 53] Generated Node #2: [84, 53, 53] from Operation: 90-37=53 Current State: 85:[84, 53, 53], Operations: ['90-37=53'] Exploring Operation: 53/53=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 53/53=1 Current State: 85:[84, 1], Operations: ['90-37=53', '53/53=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 26, 19, 82 ]
67
[ "8+26=34", "19+82=101", "101-34=67" ]
Current State: 67:[8, 26, 19, 82], Operations: [] Exploring Operation: 8+26=34, Resulting Numbers: [19, 82, 34] Generated Node #2: [19, 82, 34] from Operation: 8+26=34 Current State: 67:[19, 82, 34], Operations: ['8+26=34'] Exploring Operation: 19+82=101, Resulting Numbers: [34, 101] Generated Node #3: [34, 101] from Operation: 19+82=101 Current State: 67:[34, 101], Operations: ['8+26=34', '19+82=101'] Exploring Operation: 101-34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 40, 38, 44 ]
71
[ "37+40=77", "44-38=6", "77-6=71" ]
Current State: 71:[37, 40, 38, 44], Operations: [] Exploring Operation: 37+40=77, Resulting Numbers: [38, 44, 77] Generated Node #2: [38, 44, 77] from Operation: 37+40=77 Current State: 71:[38, 44, 77], Operations: ['37+40=77'] Exploring Operation: 44-38=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 44-38=6 Current State: 71:[77, 6], Operations: ['37+40=77', '44-38=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 39, 52, 76, 10 ]
67
[ "39*76=2964", "2964/52=57", "10+57=67" ]
Current State: 67:[39, 52, 76, 10], Operations: [] Exploring Operation: 39*76=2964, Resulting Numbers: [52, 10, 2964] Generated Node #2: [52, 10, 2964] from Operation: 39*76=2964 Current State: 67:[52, 10, 2964], Operations: ['39*76=2964'] Exploring Operation: 2964/52=57, Resulting Numbers: [10, 57] Generated Node #3: [10, 57] from Operation: 2964/52=57 Current State: 67:[10, 57], Operations: ['39*76=2964', '2964/52=57'] Exploring Operation: 10+57=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 11, 1, 53, 73 ]
31
[ "11*1=11", "73-53=20", "11+20=31" ]
Current State: 31:[11, 1, 53, 73], Operations: [] Exploring Operation: 11*1=11, Resulting Numbers: [53, 73, 11] Generated Node #2: [53, 73, 11] from Operation: 11*1=11 Current State: 31:[53, 73, 11], Operations: ['11*1=11'] Exploring Operation: 73-53=20, Resulting Numbers: [11, 20] Generated Node #3: [11, 20] from Operation: 73-53=20 Current State: 31:[11, 20], Operations: ['11*1=11', '73-53=20'] Exploring Operation: 11+20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 82, 33, 81, 91 ]
58
[ "82-81=1", "91-33=58", "1*58=58" ]
Current State: 58:[82, 33, 81, 91], Operations: [] Exploring Operation: 82-81=1, Resulting Numbers: [33, 91, 1] Generated Node #2: [33, 91, 1] from Operation: 82-81=1 Current State: 58:[33, 91, 1], Operations: ['82-81=1'] Exploring Operation: 91-33=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 91-33=58 Current State: 58:[1, 58], Operations: ['82-81=1', '91-33=58'] Exploring Operation: 1*58=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 96, 69, 48, 50 ]
88
[ "96*69=6624", "6624/48=138", "138-50=88" ]
Current State: 88:[96, 69, 48, 50], Operations: [] Exploring Operation: 96*69=6624, Resulting Numbers: [48, 50, 6624] Generated Node #2: [48, 50, 6624] from Operation: 96*69=6624 Current State: 88:[48, 50, 6624], Operations: ['96*69=6624'] Exploring Operation: 6624/48=138, Resulting Numbers: [50, 138] Generated Node #3: [50, 138] from Operation: 6624/48=138 Current State: 88:[50, 138], Operations: ['96*69=6624', '6624/48=138'] Exploring Operation: 138-50=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 29, 1, 25, 27 ]
13
[ "29-27=2", "1+25=26", "26/2=13" ]
Current State: 13:[29, 1, 25, 27], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [1, 25, 2] Generated Node #2: [1, 25, 2] from Operation: 29-27=2 Current State: 13:[1, 25, 2], Operations: ['29-27=2'] Exploring Operation: 1+25=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 1+25=26 Current State: 13:[2, 26], Operations: ['29-27=2', '1+25=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 34, 35, 95 ]
68
[ "35/5=7", "95-34=61", "7+61=68" ]
Current State: 68:[5, 34, 35, 95], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [34, 95, 7] Generated Node #2: [34, 95, 7] from Operation: 35/5=7 Current State: 68:[34, 95, 7], Operations: ['35/5=7'] Exploring Operation: 95-34=61, Resulting Numbers: [7, 61] Generated Node #3: [7, 61] from Operation: 95-34=61 Current State: 68:[7, 61], Operations: ['35/5=7', '95-34=61'] Exploring Operation: 7+61=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 23, 5, 2 ]
12
[ "23-8=15", "5-2=3", "15-3=12" ]
Current State: 12:[8, 23, 5, 2], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [5, 2, 15] Generated Node #2: [5, 2, 15] from Operation: 23-8=15 Current State: 12:[5, 2, 15], Operations: ['23-8=15'] Exploring Operation: 5-2=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 5-2=3 Current State: 12:[15, 3], Operations: ['23-8=15', '5-2=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 30, 59, 74 ]
14
[ "2*59=118", "30+74=104", "118-104=14" ]
Current State: 14:[2, 30, 59, 74], Operations: [] Exploring Operation: 2*59=118, Resulting Numbers: [30, 74, 118] Generated Node #2: [30, 74, 118] from Operation: 2*59=118 Current State: 14:[30, 74, 118], Operations: ['2*59=118'] Exploring Operation: 30+74=104, Resulting Numbers: [118, 104] Generated Node #3: [118, 104] from Operation: 30+74=104 Current State: 14:[118, 104], Operations: ['2*59=118', '30+74=104'] Exploring Operation: 118-104=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 59, 61, 28 ]
77
[ "59-47=12", "61+28=89", "89-12=77" ]
Current State: 77:[47, 59, 61, 28], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [61, 28, 12] Generated Node #2: [61, 28, 12] from Operation: 59-47=12 Current State: 77:[61, 28, 12], Operations: ['59-47=12'] Exploring Operation: 61+28=89, Resulting Numbers: [12, 89] Generated Node #3: [12, 89] from Operation: 61+28=89 Current State: 77:[12, 89], Operations: ['59-47=12', '61+28=89'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 55, 27, 76, 89 ]
30
[ "76+89=165", "165/55=3", "27+3=30" ]
Current State: 30:[55, 27, 76, 89], Operations: [] Exploring Operation: 76+89=165, Resulting Numbers: [55, 27, 165] Generated Node #2: [55, 27, 165] from Operation: 76+89=165 Current State: 30:[55, 27, 165], Operations: ['76+89=165'] Exploring Operation: 165/55=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 165/55=3 Current State: 30:[27, 3], Operations: ['76+89=165', '165/55=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 28, 93, 9, 77 ]
53
[ "28+93=121", "77-9=68", "121-68=53" ]
Current State: 53:[28, 93, 9, 77], Operations: [] Exploring Operation: 28+93=121, Resulting Numbers: [9, 77, 121] Generated Node #2: [9, 77, 121] from Operation: 28+93=121 Current State: 53:[9, 77, 121], Operations: ['28+93=121'] Exploring Operation: 77-9=68, Resulting Numbers: [121, 68] Generated Node #3: [121, 68] from Operation: 77-9=68 Current State: 53:[121, 68], Operations: ['28+93=121', '77-9=68'] Exploring Operation: 121-68=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 7, 23, 93, 37 ]
91
[ "37-23=14", "14/7=2", "93-2=91" ]
Current State: 91:[7, 23, 93, 37], Operations: [] Exploring Operation: 37-23=14, Resulting Numbers: [7, 93, 14] Generated Node #2: [7, 93, 14] from Operation: 37-23=14 Current State: 91:[7, 93, 14], Operations: ['37-23=14'] Exploring Operation: 14/7=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 14/7=2 Current State: 91:[93, 2], Operations: ['37-23=14', '14/7=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 93, 11, 89, 16 ]
60
[ "93-89=4", "11*4=44", "16+44=60" ]
Current State: 60:[93, 11, 89, 16], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [11, 16, 4] Generated Node #2: [11, 16, 4] from Operation: 93-89=4 Current State: 60:[11, 16, 4], Operations: ['93-89=4'] Exploring Operation: 11*4=44, Resulting Numbers: [16, 44] Generated Node #3: [16, 44] from Operation: 11*4=44 Current State: 60:[16, 44], Operations: ['93-89=4', '11*4=44'] Exploring Operation: 16+44=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 17, 66, 90, 3 ]
91
[ "17+90=107", "66*3=198", "198-107=91" ]
Current State: 91:[17, 66, 90, 3], Operations: [] Exploring Operation: 17+90=107, Resulting Numbers: [66, 3, 107] Generated Node #2: [66, 3, 107] from Operation: 17+90=107 Current State: 91:[66, 3, 107], Operations: ['17+90=107'] Exploring Operation: 66*3=198, Resulting Numbers: [107, 198] Generated Node #3: [107, 198] from Operation: 66*3=198 Current State: 91:[107, 198], Operations: ['17+90=107', '66*3=198'] Exploring Operation: 198-107=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 17, 58, 85 ]
48
[ "58-15=43", "85/17=5", "43+5=48" ]
Current State: 48:[15, 17, 58, 85], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [17, 85, 43] Generated Node #2: [17, 85, 43] from Operation: 58-15=43 Current State: 48:[17, 85, 43], Operations: ['58-15=43'] Exploring Operation: 85/17=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 85/17=5 Current State: 48:[43, 5], Operations: ['58-15=43', '85/17=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 10, 9, 19 ]
26
[ "10+9=19", "19/19=1", "25+1=26" ]
Current State: 26:[25, 10, 9, 19], Operations: [] Exploring Operation: 10+9=19, Resulting Numbers: [25, 19, 19] Generated Node #2: [25, 19, 19] from Operation: 10+9=19 Current State: 26:[25, 19, 19], Operations: ['10+9=19'] Exploring Operation: 19/19=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 19/19=1 Current State: 26:[25, 1], Operations: ['10+9=19', '19/19=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 53, 62, 70, 5 ]
66
[ "62-53=9", "70+5=75", "75-9=66" ]
Current State: 66:[53, 62, 70, 5], Operations: [] Exploring Operation: 62-53=9, Resulting Numbers: [70, 5, 9] Generated Node #2: [70, 5, 9] from Operation: 62-53=9 Current State: 66:[70, 5, 9], Operations: ['62-53=9'] Exploring Operation: 70+5=75, Resulting Numbers: [9, 75] Generated Node #3: [9, 75] from Operation: 70+5=75 Current State: 66:[9, 75], Operations: ['62-53=9', '70+5=75'] Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 49, 96, 2, 86 ]
27
[ "49+96=145", "2*86=172", "172-145=27" ]
Current State: 27:[49, 96, 2, 86], Operations: [] Exploring Operation: 49+96=145, Resulting Numbers: [2, 86, 145] Generated Node #2: [2, 86, 145] from Operation: 49+96=145 Current State: 27:[2, 86, 145], Operations: ['49+96=145'] Exploring Operation: 2*86=172, Resulting Numbers: [145, 172] Generated Node #3: [145, 172] from Operation: 2*86=172 Current State: 27:[145, 172], Operations: ['49+96=145', '2*86=172'] Exploring Operation: 172-145=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 43, 8, 52, 59 ]
44
[ "43+8=51", "59-52=7", "51-7=44" ]
Current State: 44:[43, 8, 52, 59], Operations: [] Exploring Operation: 43+8=51, Resulting Numbers: [52, 59, 51] Generated Node #2: [52, 59, 51] from Operation: 43+8=51 Current State: 44:[52, 59, 51], Operations: ['43+8=51'] Exploring Operation: 59-52=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 59-52=7 Current State: 44:[51, 7], Operations: ['43+8=51', '59-52=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 67, 56, 86 ]
45
[ "86-84=2", "56*2=112", "112-67=45" ]
Current State: 45:[84, 67, 56, 86], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [67, 56, 2] Generated Node #2: [67, 56, 2] from Operation: 86-84=2 Current State: 45:[67, 56, 2], Operations: ['86-84=2'] Exploring Operation: 56*2=112, Resulting Numbers: [67, 112] Generated Node #3: [67, 112] from Operation: 56*2=112 Current State: 45:[67, 112], Operations: ['86-84=2', '56*2=112'] Exploring Operation: 112-67=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 57, 34, 86, 51 ]
46
[ "57+34=91", "86+51=137", "137-91=46" ]
Current State: 46:[57, 34, 86, 51], Operations: [] Exploring Operation: 57+34=91, Resulting Numbers: [86, 51, 91] Generated Node #2: [86, 51, 91] from Operation: 57+34=91 Current State: 46:[86, 51, 91], Operations: ['57+34=91'] Exploring Operation: 86+51=137, Resulting Numbers: [91, 137] Generated Node #3: [91, 137] from Operation: 86+51=137 Current State: 46:[91, 137], Operations: ['57+34=91', '86+51=137'] Exploring Operation: 137-91=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 53, 56, 33, 25 ]
35
[ "53-25=28", "56/28=2", "33+2=35" ]
Current State: 35:[53, 56, 33, 25], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [56, 33, 28] Generated Node #2: [56, 33, 28] from Operation: 53-25=28 Current State: 35:[56, 33, 28], Operations: ['53-25=28'] Exploring Operation: 56/28=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 56/28=2 Current State: 35:[33, 2], Operations: ['53-25=28', '56/28=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 43, 52, 26, 18 ]
24
[ "52-43=9", "18/9=2", "26-2=24" ]
Current State: 24:[43, 52, 26, 18], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [26, 18, 9] Generated Node #2: [26, 18, 9] from Operation: 52-43=9 Current State: 24:[26, 18, 9], Operations: ['52-43=9'] Exploring Operation: 18/9=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 18/9=2 Current State: 24:[26, 2], Operations: ['52-43=9', '18/9=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 62, 23, 65 ]
68
[ "82-62=20", "23+65=88", "88-20=68" ]
Current State: 68:[82, 62, 23, 65], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [23, 65, 20] Generated Node #2: [23, 65, 20] from Operation: 82-62=20 Current State: 68:[23, 65, 20], Operations: ['82-62=20'] Exploring Operation: 23+65=88, Resulting Numbers: [20, 88] Generated Node #3: [20, 88] from Operation: 23+65=88 Current State: 68:[20, 88], Operations: ['82-62=20', '23+65=88'] Exploring Operation: 88-20=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 29, 88, 8 ]
49
[ "76-29=47", "88+8=96", "96-47=49" ]
Current State: 49:[76, 29, 88, 8], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [88, 8, 47] Generated Node #2: [88, 8, 47] from Operation: 76-29=47 Current State: 49:[88, 8, 47], Operations: ['76-29=47'] Exploring Operation: 88+8=96, Resulting Numbers: [47, 96] Generated Node #3: [47, 96] from Operation: 88+8=96 Current State: 49:[47, 96], Operations: ['76-29=47', '88+8=96'] Exploring Operation: 96-47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 76, 25, 96, 75 ]
23
[ "96-76=20", "75/25=3", "20+3=23" ]
Current State: 23:[76, 25, 96, 75], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [25, 75, 20] Generated Node #2: [25, 75, 20] from Operation: 96-76=20 Current State: 23:[25, 75, 20], Operations: ['96-76=20'] Exploring Operation: 75/25=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 75/25=3 Current State: 23:[20, 3], Operations: ['96-76=20', '75/25=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 71, 45, 72 ]
13
[ "71-62=9", "45+72=117", "117/9=13" ]
Current State: 13:[62, 71, 45, 72], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [45, 72, 9] Generated Node #2: [45, 72, 9] from Operation: 71-62=9 Current State: 13:[45, 72, 9], Operations: ['71-62=9'] Exploring Operation: 45+72=117, Resulting Numbers: [9, 117] Generated Node #3: [9, 117] from Operation: 45+72=117 Current State: 13:[9, 117], Operations: ['71-62=9', '45+72=117'] Exploring Operation: 117/9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 33, 77, 86, 26 ]
16
[ "77-33=44", "86-26=60", "60-44=16" ]
Current State: 16:[33, 77, 86, 26], Operations: [] Exploring Operation: 77-33=44, Resulting Numbers: [86, 26, 44] Generated Node #2: [86, 26, 44] from Operation: 77-33=44 Current State: 16:[86, 26, 44], Operations: ['77-33=44'] Exploring Operation: 86-26=60, Resulting Numbers: [44, 60] Generated Node #3: [44, 60] from Operation: 86-26=60 Current State: 16:[44, 60], Operations: ['77-33=44', '86-26=60'] Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 56, 77, 98 ]
63
[ "56+98=154", "154/11=14", "77-14=63" ]
Current State: 63:[11, 56, 77, 98], Operations: [] Exploring Operation: 56+98=154, Resulting Numbers: [11, 77, 154] Generated Node #2: [11, 77, 154] from Operation: 56+98=154 Current State: 63:[11, 77, 154], Operations: ['56+98=154'] Exploring Operation: 154/11=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 154/11=14 Current State: 63:[77, 14], Operations: ['56+98=154', '154/11=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 74, 20, 10, 6 ]
77
[ "20/10=2", "6/2=3", "74+3=77" ]
Current State: 77:[74, 20, 10, 6], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [74, 6, 2] Generated Node #2: [74, 6, 2] from Operation: 20/10=2 Current State: 77:[74, 6, 2], Operations: ['20/10=2'] Exploring Operation: 6/2=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 6/2=3 Current State: 77:[74, 3], Operations: ['20/10=2', '6/2=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 51, 27, 37, 22 ]
19
[ "51+27=78", "37+22=59", "78-59=19" ]
Current State: 19:[51, 27, 37, 22], Operations: [] Exploring Operation: 51+27=78, Resulting Numbers: [37, 22, 78] Generated Node #2: [37, 22, 78] from Operation: 51+27=78 Current State: 19:[37, 22, 78], Operations: ['51+27=78'] Exploring Operation: 37+22=59, Resulting Numbers: [78, 59] Generated Node #3: [78, 59] from Operation: 37+22=59 Current State: 19:[78, 59], Operations: ['51+27=78', '37+22=59'] Exploring Operation: 78-59=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 99, 76, 69, 56 ]
92
[ "76+56=132", "69*132=9108", "9108/99=92" ]
Current State: 92:[99, 76, 69, 56], Operations: [] Exploring Operation: 76+56=132, Resulting Numbers: [99, 69, 132] Generated Node #2: [99, 69, 132] from Operation: 76+56=132 Current State: 92:[99, 69, 132], Operations: ['76+56=132'] Exploring Operation: 69*132=9108, Resulting Numbers: [99, 9108] Generated Node #3: [99, 9108] from Operation: 69*132=9108 Current State: 92:[99, 9108], Operations: ['76+56=132', '69*132=9108'] Exploring Operation: 9108/99=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 67, 30, 97, 36 ]
25
[ "97-67=30", "30*30=900", "900/36=25" ]
Current State: 25:[67, 30, 97, 36], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [30, 36, 30] Generated Node #2: [30, 36, 30] from Operation: 97-67=30 Current State: 25:[30, 36, 30], Operations: ['97-67=30'] Exploring Operation: 30*30=900, Resulting Numbers: [36, 900] Generated Node #3: [36, 900] from Operation: 30*30=900 Current State: 25:[36, 900], Operations: ['97-67=30', '30*30=900'] Exploring Operation: 900/36=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 56, 57, 52, 9 ]
21
[ "56-52=4", "9*4=36", "57-36=21" ]
Current State: 21:[56, 57, 52, 9], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [57, 9, 4] Generated Node #2: [57, 9, 4] from Operation: 56-52=4 Current State: 21:[57, 9, 4], Operations: ['56-52=4'] Exploring Operation: 9*4=36, Resulting Numbers: [57, 36] Generated Node #3: [57, 36] from Operation: 9*4=36 Current State: 21:[57, 36], Operations: ['56-52=4', '9*4=36'] Exploring Operation: 57-36=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 87, 26, 19 ]
38
[ "87-74=13", "26*19=494", "494/13=38" ]
Current State: 38:[74, 87, 26, 19], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [26, 19, 13] Generated Node #2: [26, 19, 13] from Operation: 87-74=13 Current State: 38:[26, 19, 13], Operations: ['87-74=13'] Exploring Operation: 26*19=494, Resulting Numbers: [13, 494] Generated Node #3: [13, 494] from Operation: 26*19=494 Current State: 38:[13, 494], Operations: ['87-74=13', '26*19=494'] Exploring Operation: 494/13=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 60, 30, 12, 77 ]
42
[ "60/12=5", "77-30=47", "47-5=42" ]
Current State: 42:[60, 30, 12, 77], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [30, 77, 5] Generated Node #2: [30, 77, 5] from Operation: 60/12=5 Current State: 42:[30, 77, 5], Operations: ['60/12=5'] Exploring Operation: 77-30=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 77-30=47 Current State: 42:[5, 47], Operations: ['60/12=5', '77-30=47'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 24, 92, 66 ]
63
[ "13+24=37", "92-66=26", "37+26=63" ]
Current State: 63:[13, 24, 92, 66], Operations: [] Exploring Operation: 13+24=37, Resulting Numbers: [92, 66, 37] Generated Node #2: [92, 66, 37] from Operation: 13+24=37 Current State: 63:[92, 66, 37], Operations: ['13+24=37'] Exploring Operation: 92-66=26, Resulting Numbers: [37, 26] Generated Node #3: [37, 26] from Operation: 92-66=26 Current State: 63:[37, 26], Operations: ['13+24=37', '92-66=26'] Exploring Operation: 37+26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 40, 10, 49, 95 ]
60
[ "40+49=89", "95-89=6", "10*6=60" ]
Current State: 60:[40, 10, 49, 95], Operations: [] Exploring Operation: 40+49=89, Resulting Numbers: [10, 95, 89] Generated Node #2: [10, 95, 89] from Operation: 40+49=89 Current State: 60:[10, 95, 89], Operations: ['40+49=89'] Exploring Operation: 95-89=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 95-89=6 Current State: 60:[10, 6], Operations: ['40+49=89', '95-89=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 5, 98, 66 ]
22
[ "31*66=2046", "98-5=93", "2046/93=22" ]
Current State: 22:[31, 5, 98, 66], Operations: [] Exploring Operation: 31*66=2046, Resulting Numbers: [5, 98, 2046] Generated Node #2: [5, 98, 2046] from Operation: 31*66=2046 Current State: 22:[5, 98, 2046], Operations: ['31*66=2046'] Exploring Operation: 98-5=93, Resulting Numbers: [2046, 93] Generated Node #3: [2046, 93] from Operation: 98-5=93 Current State: 22:[2046, 93], Operations: ['31*66=2046', '98-5=93'] Exploring Operation: 2046/93=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 16, 2, 55, 74 ]
54
[ "74-55=19", "2*19=38", "16+38=54" ]
Current State: 54:[16, 2, 55, 74], Operations: [] Exploring Operation: 74-55=19, Resulting Numbers: [16, 2, 19] Generated Node #2: [16, 2, 19] from Operation: 74-55=19 Current State: 54:[16, 2, 19], Operations: ['74-55=19'] Exploring Operation: 2*19=38, Resulting Numbers: [16, 38] Generated Node #3: [16, 38] from Operation: 2*19=38 Current State: 54:[16, 38], Operations: ['74-55=19', '2*19=38'] Exploring Operation: 16+38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 45, 50, 75 ]
24
[ "55-50=5", "45+75=120", "120/5=24" ]
Current State: 24:[55, 45, 50, 75], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [45, 75, 5] Generated Node #2: [45, 75, 5] from Operation: 55-50=5 Current State: 24:[45, 75, 5], Operations: ['55-50=5'] Exploring Operation: 45+75=120, Resulting Numbers: [5, 120] Generated Node #3: [5, 120] from Operation: 45+75=120 Current State: 24:[5, 120], Operations: ['55-50=5', '45+75=120'] Exploring Operation: 120/5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 22, 1, 54 ]
62
[ "93+22=115", "54-1=53", "115-53=62" ]
Current State: 62:[93, 22, 1, 54], Operations: [] Exploring Operation: 93+22=115, Resulting Numbers: [1, 54, 115] Generated Node #2: [1, 54, 115] from Operation: 93+22=115 Current State: 62:[1, 54, 115], Operations: ['93+22=115'] Exploring Operation: 54-1=53, Resulting Numbers: [115, 53] Generated Node #3: [115, 53] from Operation: 54-1=53 Current State: 62:[115, 53], Operations: ['93+22=115', '54-1=53'] Exploring Operation: 115-53=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 57, 34, 68, 36 ]
19
[ "57-36=21", "68/34=2", "21-2=19" ]
Current State: 19:[57, 34, 68, 36], Operations: [] Exploring Operation: 57-36=21, Resulting Numbers: [34, 68, 21] Generated Node #2: [34, 68, 21] from Operation: 57-36=21 Current State: 19:[34, 68, 21], Operations: ['57-36=21'] Exploring Operation: 68/34=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 68/34=2 Current State: 19:[21, 2], Operations: ['57-36=21', '68/34=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 61, 2, 1, 9 ]
45
[ "9-1=8", "2*8=16", "61-16=45" ]
Current State: 45:[61, 2, 1, 9], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [61, 2, 8] Generated Node #2: [61, 2, 8] from Operation: 9-1=8 Current State: 45:[61, 2, 8], Operations: ['9-1=8'] Exploring Operation: 2*8=16, Resulting Numbers: [61, 16] Generated Node #3: [61, 16] from Operation: 2*8=16 Current State: 45:[61, 16], Operations: ['9-1=8', '2*8=16'] Exploring Operation: 61-16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4