nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 29, 82, 61, 59 ]
67
[ "82-29=53", "61+59=120", "120-53=67" ]
Current State: 67:[29, 82, 61, 59], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [61, 59, 53] Generated Node #2: [61, 59, 53] from Operation: 82-29=53 Current State: 67:[61, 59, 53], Operations: ['82-29=53'] Exploring Operation: 61+59=120, Resulting Numbers: [53, 120] Generated Node #3: [53, 120] from Operation: 61+59=120 Current State: 67:[53, 120], Operations: ['82-29=53', '61+59=120'] Exploring Operation: 120-53=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 93, 91, 18, 72 ]
27
[ "93-91=2", "72-18=54", "54/2=27" ]
Current State: 27:[93, 91, 18, 72], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [18, 72, 2] Generated Node #2: [18, 72, 2] from Operation: 93-91=2 Current State: 27:[18, 72, 2], Operations: ['93-91=2'] Exploring Operation: 72-18=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 72-18=54 Current State: 27:[2, 54], Operations: ['93-91=2', '72-18=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 79, 96, 27 ]
87
[ "79-76=3", "27/3=9", "96-9=87" ]
Current State: 87:[76, 79, 96, 27], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [96, 27, 3] Generated Node #2: [96, 27, 3] from Operation: 79-76=3 Current State: 87:[96, 27, 3], Operations: ['79-76=3'] Exploring Operation: 27/3=9, Resulting Numbers: [96, 9] Generated Node #3: [96, 9] from Operation: 27/3=9 Current State: 87:[96, 9], Operations: ['79-76=3', '27/3=9'] Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 78, 54, 26, 87 ]
89
[ "78-54=24", "26+87=113", "113-24=89" ]
Current State: 89:[78, 54, 26, 87], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [26, 87, 24] Generated Node #2: [26, 87, 24] from Operation: 78-54=24 Current State: 89:[26, 87, 24], Operations: ['78-54=24'] Exploring Operation: 26+87=113, Resulting Numbers: [24, 113] Generated Node #3: [24, 113] from Operation: 26+87=113 Current State: 89:[24, 113], Operations: ['78-54=24', '26+87=113'] Exploring Operation: 113-24=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 33, 59, 73 ]
63
[ "73-33=40", "40/10=4", "59+4=63" ]
Current State: 63:[10, 33, 59, 73], Operations: [] Exploring Operation: 73-33=40, Resulting Numbers: [10, 59, 40] Generated Node #2: [10, 59, 40] from Operation: 73-33=40 Current State: 63:[10, 59, 40], Operations: ['73-33=40'] Exploring Operation: 40/10=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 40/10=4 Current State: 63:[59, 4], Operations: ['73-33=40', '40/10=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 76, 27, 59 ]
38
[ "59-5=54", "76*27=2052", "2052/54=38" ]
Current State: 38:[5, 76, 27, 59], Operations: [] Exploring Operation: 59-5=54, Resulting Numbers: [76, 27, 54] Generated Node #2: [76, 27, 54] from Operation: 59-5=54 Current State: 38:[76, 27, 54], Operations: ['59-5=54'] Exploring Operation: 76*27=2052, Resulting Numbers: [54, 2052] Generated Node #3: [54, 2052] from Operation: 76*27=2052 Current State: 38:[54, 2052], Operations: ['59-5=54', '76*27=2052'] Exploring Operation: 2052/54=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 95, 9, 55, 13 ]
67
[ "95+13=108", "108/9=12", "55+12=67" ]
Current State: 67:[95, 9, 55, 13], Operations: [] Exploring Operation: 95+13=108, Resulting Numbers: [9, 55, 108] Generated Node #2: [9, 55, 108] from Operation: 95+13=108 Current State: 67:[9, 55, 108], Operations: ['95+13=108'] Exploring Operation: 108/9=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 108/9=12 Current State: 67:[55, 12], Operations: ['95+13=108', '108/9=12'] Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 17, 47, 19 ]
27
[ "38+17=55", "47-19=28", "55-28=27" ]
Current State: 27:[38, 17, 47, 19], Operations: [] Exploring Operation: 38+17=55, Resulting Numbers: [47, 19, 55] Generated Node #2: [47, 19, 55] from Operation: 38+17=55 Current State: 27:[47, 19, 55], Operations: ['38+17=55'] Exploring Operation: 47-19=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 47-19=28 Current State: 27:[55, 28], Operations: ['38+17=55', '47-19=28'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 36, 53, 92 ]
100
[ "9+36=45", "53+92=145", "145-45=100" ]
Current State: 100:[9, 36, 53, 92], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [53, 92, 45] Generated Node #2: [53, 92, 45] from Operation: 9+36=45 Current State: 100:[53, 92, 45], Operations: ['9+36=45'] Exploring Operation: 53+92=145, Resulting Numbers: [45, 145] Generated Node #3: [45, 145] from Operation: 53+92=145 Current State: 100:[45, 145], Operations: ['9+36=45', '53+92=145'] Exploring Operation: 145-45=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 43, 17, 84, 52 ]
76
[ "43+17=60", "84+52=136", "136-60=76" ]
Current State: 76:[43, 17, 84, 52], Operations: [] Exploring Operation: 43+17=60, Resulting Numbers: [84, 52, 60] Generated Node #2: [84, 52, 60] from Operation: 43+17=60 Current State: 76:[84, 52, 60], Operations: ['43+17=60'] Exploring Operation: 84+52=136, Resulting Numbers: [60, 136] Generated Node #3: [60, 136] from Operation: 84+52=136 Current State: 76:[60, 136], Operations: ['43+17=60', '84+52=136'] Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 80, 46, 94, 6 ]
92
[ "46-6=40", "80/40=2", "94-2=92" ]
Current State: 92:[80, 46, 94, 6], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [80, 94, 40] Generated Node #2: [80, 94, 40] from Operation: 46-6=40 Current State: 92:[80, 94, 40], Operations: ['46-6=40'] Exploring Operation: 80/40=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 80/40=2 Current State: 92:[94, 2], Operations: ['46-6=40', '80/40=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 37, 53, 48, 80 ]
43
[ "53-37=16", "80/16=5", "48-5=43" ]
Current State: 43:[37, 53, 48, 80], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [48, 80, 16] Generated Node #2: [48, 80, 16] from Operation: 53-37=16 Current State: 43:[48, 80, 16], Operations: ['53-37=16'] Exploring Operation: 80/16=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 80/16=5 Current State: 43:[48, 5], Operations: ['53-37=16', '80/16=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 14, 96, 29, 67 ]
13
[ "96-29=67", "67/67=1", "14-1=13" ]
Current State: 13:[14, 96, 29, 67], Operations: [] Exploring Operation: 96-29=67, Resulting Numbers: [14, 67, 67] Generated Node #2: [14, 67, 67] from Operation: 96-29=67 Current State: 13:[14, 67, 67], Operations: ['96-29=67'] Exploring Operation: 67/67=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 67/67=1 Current State: 13:[14, 1], Operations: ['96-29=67', '67/67=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 99, 91, 64 ]
40
[ "96+99=195", "91+64=155", "195-155=40" ]
Current State: 40:[96, 99, 91, 64], Operations: [] Exploring Operation: 96+99=195, Resulting Numbers: [91, 64, 195] Generated Node #2: [91, 64, 195] from Operation: 96+99=195 Current State: 40:[91, 64, 195], Operations: ['96+99=195'] Exploring Operation: 91+64=155, Resulting Numbers: [195, 155] Generated Node #3: [195, 155] from Operation: 91+64=155 Current State: 40:[195, 155], Operations: ['96+99=195', '91+64=155'] Exploring Operation: 195-155=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 24, 93, 1, 4 ]
73
[ "93-24=69", "1*4=4", "69+4=73" ]
Current State: 73:[24, 93, 1, 4], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [1, 4, 69] Generated Node #2: [1, 4, 69] from Operation: 93-24=69 Current State: 73:[1, 4, 69], Operations: ['93-24=69'] Exploring Operation: 1*4=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 1*4=4 Current State: 73:[69, 4], Operations: ['93-24=69', '1*4=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 83, 16, 85, 66 ]
85
[ "83-16=67", "67-66=1", "85*1=85" ]
Current State: 85:[83, 16, 85, 66], Operations: [] Exploring Operation: 83-16=67, Resulting Numbers: [85, 66, 67] Generated Node #2: [85, 66, 67] from Operation: 83-16=67 Current State: 85:[85, 66, 67], Operations: ['83-16=67'] Exploring Operation: 67-66=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 67-66=1 Current State: 85:[85, 1], Operations: ['83-16=67', '67-66=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 12, 74, 73 ]
46
[ "35+12=47", "74-73=1", "47-1=46" ]
Current State: 46:[35, 12, 74, 73], Operations: [] Exploring Operation: 35+12=47, Resulting Numbers: [74, 73, 47] Generated Node #2: [74, 73, 47] from Operation: 35+12=47 Current State: 46:[74, 73, 47], Operations: ['35+12=47'] Exploring Operation: 74-73=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 74-73=1 Current State: 46:[47, 1], Operations: ['35+12=47', '74-73=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 27, 40, 98 ]
84
[ "27+27=54", "40+98=138", "138-54=84" ]
Current State: 84:[27, 27, 40, 98], Operations: [] Exploring Operation: 27+27=54, Resulting Numbers: [40, 98, 54] Generated Node #2: [40, 98, 54] from Operation: 27+27=54 Current State: 84:[40, 98, 54], Operations: ['27+27=54'] Exploring Operation: 40+98=138, Resulting Numbers: [54, 138] Generated Node #3: [54, 138] from Operation: 40+98=138 Current State: 84:[54, 138], Operations: ['27+27=54', '40+98=138'] Exploring Operation: 138-54=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 13, 33, 45 ]
46
[ "45+13=58", "45-33=12", "58-12=46" ]
Current State: 46:[45, 13, 33, 45], Operations: [] Exploring Operation: 45+13=58, Resulting Numbers: [33, 58] Generated Node #2: [33, 58] from Operation: 45+13=58 Current State: 46:[33, 58], Operations: ['45+13=58'] Exploring Operation: 45-33=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 45-33=12 Current State: 46:[58, 12], Operations: ['45+13=58', '45-33=12'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 29, 62, 89, 28 ]
14
[ "29+62=91", "91-89=2", "28/2=14" ]
Current State: 14:[29, 62, 89, 28], Operations: [] Exploring Operation: 29+62=91, Resulting Numbers: [89, 28, 91] Generated Node #2: [89, 28, 91] from Operation: 29+62=91 Current State: 14:[89, 28, 91], Operations: ['29+62=91'] Exploring Operation: 91-89=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 91-89=2 Current State: 14:[28, 2], Operations: ['29+62=91', '91-89=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 17, 7, 73 ]
100
[ "73-54=19", "17*7=119", "119-19=100" ]
Current State: 100:[54, 17, 7, 73], Operations: [] Exploring Operation: 73-54=19, Resulting Numbers: [17, 7, 19] Generated Node #2: [17, 7, 19] from Operation: 73-54=19 Current State: 100:[17, 7, 19], Operations: ['73-54=19'] Exploring Operation: 17*7=119, Resulting Numbers: [19, 119] Generated Node #3: [19, 119] from Operation: 17*7=119 Current State: 100:[19, 119], Operations: ['73-54=19', '17*7=119'] Exploring Operation: 119-19=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 99, 25, 56 ]
81
[ "63+99=162", "25+56=81", "162-81=81" ]
Current State: 81:[63, 99, 25, 56], Operations: [] Exploring Operation: 63+99=162, Resulting Numbers: [25, 56, 162] Generated Node #2: [25, 56, 162] from Operation: 63+99=162 Current State: 81:[25, 56, 162], Operations: ['63+99=162'] Exploring Operation: 25+56=81, Resulting Numbers: [162, 81] Generated Node #3: [162, 81] from Operation: 25+56=81 Current State: 81:[162, 81], Operations: ['63+99=162', '25+56=81'] Exploring Operation: 162-81=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 16, 21, 48, 32 ]
53
[ "16+21=37", "48-32=16", "37+16=53" ]
Current State: 53:[16, 21, 48, 32], Operations: [] Exploring Operation: 16+21=37, Resulting Numbers: [48, 32, 37] Generated Node #2: [48, 32, 37] from Operation: 16+21=37 Current State: 53:[48, 32, 37], Operations: ['16+21=37'] Exploring Operation: 48-32=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 48-32=16 Current State: 53:[37, 16], Operations: ['16+21=37', '48-32=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 28, 49, 79, 77 ]
35
[ "28*77=2156", "2156/49=44", "79-44=35" ]
Current State: 35:[28, 49, 79, 77], Operations: [] Exploring Operation: 28*77=2156, Resulting Numbers: [49, 79, 2156] Generated Node #2: [49, 79, 2156] from Operation: 28*77=2156 Current State: 35:[49, 79, 2156], Operations: ['28*77=2156'] Exploring Operation: 2156/49=44, Resulting Numbers: [79, 44] Generated Node #3: [79, 44] from Operation: 2156/49=44 Current State: 35:[79, 44], Operations: ['28*77=2156', '2156/49=44'] Exploring Operation: 79-44=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 17, 6, 88 ]
45
[ "32+17=49", "6+88=94", "94-49=45" ]
Current State: 45:[32, 17, 6, 88], Operations: [] Exploring Operation: 32+17=49, Resulting Numbers: [6, 88, 49] Generated Node #2: [6, 88, 49] from Operation: 32+17=49 Current State: 45:[6, 88, 49], Operations: ['32+17=49'] Exploring Operation: 6+88=94, Resulting Numbers: [49, 94] Generated Node #3: [49, 94] from Operation: 6+88=94 Current State: 45:[49, 94], Operations: ['32+17=49', '6+88=94'] Exploring Operation: 94-49=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 95, 41, 37, 60 ]
82
[ "95-37=58", "60-58=2", "41*2=82" ]
Current State: 82:[95, 41, 37, 60], Operations: [] Exploring Operation: 95-37=58, Resulting Numbers: [41, 60, 58] Generated Node #2: [41, 60, 58] from Operation: 95-37=58 Current State: 82:[41, 60, 58], Operations: ['95-37=58'] Exploring Operation: 60-58=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 60-58=2 Current State: 82:[41, 2], Operations: ['95-37=58', '60-58=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 99, 71, 94 ]
59
[ "99-63=36", "94-71=23", "36+23=59" ]
Current State: 59:[63, 99, 71, 94], Operations: [] Exploring Operation: 99-63=36, Resulting Numbers: [71, 94, 36] Generated Node #2: [71, 94, 36] from Operation: 99-63=36 Current State: 59:[71, 94, 36], Operations: ['99-63=36'] Exploring Operation: 94-71=23, Resulting Numbers: [36, 23] Generated Node #3: [36, 23] from Operation: 94-71=23 Current State: 59:[36, 23], Operations: ['99-63=36', '94-71=23'] Exploring Operation: 36+23=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 4, 79, 83 ]
76
[ "4+79=83", "83/83=1", "75+1=76" ]
Current State: 76:[75, 4, 79, 83], Operations: [] Exploring Operation: 4+79=83, Resulting Numbers: [75, 83, 83] Generated Node #2: [75, 83, 83] from Operation: 4+79=83 Current State: 76:[75, 83, 83], Operations: ['4+79=83'] Exploring Operation: 83/83=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 83/83=1 Current State: 76:[75, 1], Operations: ['4+79=83', '83/83=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 42, 12, 21, 25 ]
76
[ "42-12=30", "21+25=46", "30+46=76" ]
Current State: 76:[42, 12, 21, 25], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [21, 25, 30] Generated Node #2: [21, 25, 30] from Operation: 42-12=30 Current State: 76:[21, 25, 30], Operations: ['42-12=30'] Exploring Operation: 21+25=46, Resulting Numbers: [30, 46] Generated Node #3: [30, 46] from Operation: 21+25=46 Current State: 76:[30, 46], Operations: ['42-12=30', '21+25=46'] Exploring Operation: 30+46=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 20, 83, 55 ]
64
[ "83-55=28", "3*28=84", "84-20=64" ]
Current State: 64:[3, 20, 83, 55], Operations: [] Exploring Operation: 83-55=28, Resulting Numbers: [3, 20, 28] Generated Node #2: [3, 20, 28] from Operation: 83-55=28 Current State: 64:[3, 20, 28], Operations: ['83-55=28'] Exploring Operation: 3*28=84, Resulting Numbers: [20, 84] Generated Node #3: [20, 84] from Operation: 3*28=84 Current State: 64:[20, 84], Operations: ['83-55=28', '3*28=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 37, 14, 96 ]
12
[ "37-31=6", "14*6=84", "96-84=12" ]
Current State: 12:[31, 37, 14, 96], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [14, 96, 6] Generated Node #2: [14, 96, 6] from Operation: 37-31=6 Current State: 12:[14, 96, 6], Operations: ['37-31=6'] Exploring Operation: 14*6=84, Resulting Numbers: [96, 84] Generated Node #3: [96, 84] from Operation: 14*6=84 Current State: 12:[96, 84], Operations: ['37-31=6', '14*6=84'] Exploring Operation: 96-84=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 38, 17, 56, 16 ]
19
[ "38-17=21", "56-16=40", "40-21=19" ]
Current State: 19:[38, 17, 56, 16], Operations: [] Exploring Operation: 38-17=21, Resulting Numbers: [56, 16, 21] Generated Node #2: [56, 16, 21] from Operation: 38-17=21 Current State: 19:[56, 16, 21], Operations: ['38-17=21'] Exploring Operation: 56-16=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 56-16=40 Current State: 19:[21, 40], Operations: ['38-17=21', '56-16=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 68, 93, 6 ]
31
[ "68-6=62", "2*62=124", "124-93=31" ]
Current State: 31:[2, 68, 93, 6], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [2, 93, 62] Generated Node #2: [2, 93, 62] from Operation: 68-6=62 Current State: 31:[2, 93, 62], Operations: ['68-6=62'] Exploring Operation: 2*62=124, Resulting Numbers: [93, 124] Generated Node #3: [93, 124] from Operation: 2*62=124 Current State: 31:[93, 124], Operations: ['68-6=62', '2*62=124'] Exploring Operation: 124-93=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 20, 61, 36 ]
32
[ "61-56=5", "20/5=4", "36-4=32" ]
Current State: 32:[56, 20, 61, 36], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [20, 36, 5] Generated Node #2: [20, 36, 5] from Operation: 61-56=5 Current State: 32:[20, 36, 5], Operations: ['61-56=5'] Exploring Operation: 20/5=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 20/5=4 Current State: 32:[36, 4], Operations: ['61-56=5', '20/5=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 26, 92, 17, 10 ]
35
[ "26*17=442", "442-92=350", "350/10=35" ]
Current State: 35:[26, 92, 17, 10], Operations: [] Exploring Operation: 26*17=442, Resulting Numbers: [92, 10, 442] Generated Node #2: [92, 10, 442] from Operation: 26*17=442 Current State: 35:[92, 10, 442], Operations: ['26*17=442'] Exploring Operation: 442-92=350, Resulting Numbers: [10, 350] Generated Node #3: [10, 350] from Operation: 442-92=350 Current State: 35:[10, 350], Operations: ['26*17=442', '442-92=350'] Exploring Operation: 350/10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 66, 21, 59 ]
96
[ "32*21=672", "66-59=7", "672/7=96" ]
Current State: 96:[32, 66, 21, 59], Operations: [] Exploring Operation: 32*21=672, Resulting Numbers: [66, 59, 672] Generated Node #2: [66, 59, 672] from Operation: 32*21=672 Current State: 96:[66, 59, 672], Operations: ['32*21=672'] Exploring Operation: 66-59=7, Resulting Numbers: [672, 7] Generated Node #3: [672, 7] from Operation: 66-59=7 Current State: 96:[672, 7], Operations: ['32*21=672', '66-59=7'] Exploring Operation: 672/7=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 89, 23, 15 ]
12
[ "89-85=4", "23-15=8", "4+8=12" ]
Current State: 12:[85, 89, 23, 15], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [23, 15, 4] Generated Node #2: [23, 15, 4] from Operation: 89-85=4 Current State: 12:[23, 15, 4], Operations: ['89-85=4'] Exploring Operation: 23-15=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 23-15=8 Current State: 12:[4, 8], Operations: ['89-85=4', '23-15=8'] Exploring Operation: 4+8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 31, 3, 54, 86 ]
93
[ "31+86=117", "117/3=39", "54+39=93" ]
Current State: 93:[31, 3, 54, 86], Operations: [] Exploring Operation: 31+86=117, Resulting Numbers: [3, 54, 117] Generated Node #2: [3, 54, 117] from Operation: 31+86=117 Current State: 93:[3, 54, 117], Operations: ['31+86=117'] Exploring Operation: 117/3=39, Resulting Numbers: [54, 39] Generated Node #3: [54, 39] from Operation: 117/3=39 Current State: 93:[54, 39], Operations: ['31+86=117', '117/3=39'] Exploring Operation: 54+39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 72, 17, 3, 72 ]
15
[ "72/72=1", "17-3=14", "1+14=15" ]
Current State: 15:[72, 17, 3, 72], Operations: [] Exploring Operation: 72/72=1, Resulting Numbers: [17, 3, 1] Generated Node #2: [17, 3, 1] from Operation: 72/72=1 Current State: 15:[17, 3, 1], Operations: ['72/72=1'] Exploring Operation: 17-3=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 17-3=14 Current State: 15:[1, 14], Operations: ['72/72=1', '17-3=14'] Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 73, 59, 47, 53 ]
71
[ "59+47=106", "106/53=2", "73-2=71" ]
Current State: 71:[73, 59, 47, 53], Operations: [] Exploring Operation: 59+47=106, Resulting Numbers: [73, 53, 106] Generated Node #2: [73, 53, 106] from Operation: 59+47=106 Current State: 71:[73, 53, 106], Operations: ['59+47=106'] Exploring Operation: 106/53=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 106/53=2 Current State: 71:[73, 2], Operations: ['59+47=106', '106/53=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 45, 55, 53, 77 ]
30
[ "45+55=100", "53+77=130", "130-100=30" ]
Current State: 30:[45, 55, 53, 77], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [53, 77, 100] Generated Node #2: [53, 77, 100] from Operation: 45+55=100 Current State: 30:[53, 77, 100], Operations: ['45+55=100'] Exploring Operation: 53+77=130, Resulting Numbers: [100, 130] Generated Node #3: [100, 130] from Operation: 53+77=130 Current State: 30:[100, 130], Operations: ['45+55=100', '53+77=130'] Exploring Operation: 130-100=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 5, 6, 51 ]
52
[ "6*51=306", "306-46=260", "260/5=52" ]
Current State: 52:[46, 5, 6, 51], Operations: [] Exploring Operation: 6*51=306, Resulting Numbers: [46, 5, 306] Generated Node #2: [46, 5, 306] from Operation: 6*51=306 Current State: 52:[46, 5, 306], Operations: ['6*51=306'] Exploring Operation: 306-46=260, Resulting Numbers: [5, 260] Generated Node #3: [5, 260] from Operation: 306-46=260 Current State: 52:[5, 260], Operations: ['6*51=306', '306-46=260'] Exploring Operation: 260/5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 83, 80, 40 ]
34
[ "83-47=36", "80/40=2", "36-2=34" ]
Current State: 34:[47, 83, 80, 40], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [80, 40, 36] Generated Node #2: [80, 40, 36] from Operation: 83-47=36 Current State: 34:[80, 40, 36], Operations: ['83-47=36'] Exploring Operation: 80/40=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 80/40=2 Current State: 34:[36, 2], Operations: ['83-47=36', '80/40=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 60, 84, 46 ]
12
[ "84-43=41", "46-41=5", "60/5=12" ]
Current State: 12:[43, 60, 84, 46], Operations: [] Exploring Operation: 84-43=41, Resulting Numbers: [60, 46, 41] Generated Node #2: [60, 46, 41] from Operation: 84-43=41 Current State: 12:[60, 46, 41], Operations: ['84-43=41'] Exploring Operation: 46-41=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 46-41=5 Current State: 12:[60, 5], Operations: ['84-43=41', '46-41=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 1, 3, 21 ]
56
[ "81-1=80", "3+21=24", "80-24=56" ]
Current State: 56:[81, 1, 3, 21], Operations: [] Exploring Operation: 81-1=80, Resulting Numbers: [3, 21, 80] Generated Node #2: [3, 21, 80] from Operation: 81-1=80 Current State: 56:[3, 21, 80], Operations: ['81-1=80'] Exploring Operation: 3+21=24, Resulting Numbers: [80, 24] Generated Node #3: [80, 24] from Operation: 3+21=24 Current State: 56:[80, 24], Operations: ['81-1=80', '3+21=24'] Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 78, 21, 12, 76 ]
18
[ "78-76=2", "21-12=9", "2*9=18" ]
Current State: 18:[78, 21, 12, 76], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [21, 12, 2] Generated Node #2: [21, 12, 2] from Operation: 78-76=2 Current State: 18:[21, 12, 2], Operations: ['78-76=2'] Exploring Operation: 21-12=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 21-12=9 Current State: 18:[2, 9], Operations: ['78-76=2', '21-12=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 67, 19, 89 ]
36
[ "39+67=106", "89-19=70", "106-70=36" ]
Current State: 36:[39, 67, 19, 89], Operations: [] Exploring Operation: 39+67=106, Resulting Numbers: [19, 89, 106] Generated Node #2: [19, 89, 106] from Operation: 39+67=106 Current State: 36:[19, 89, 106], Operations: ['39+67=106'] Exploring Operation: 89-19=70, Resulting Numbers: [106, 70] Generated Node #3: [106, 70] from Operation: 89-19=70 Current State: 36:[106, 70], Operations: ['39+67=106', '89-19=70'] Exploring Operation: 106-70=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 28, 21, 14 ]
86
[ "23+28=51", "21+14=35", "51+35=86" ]
Current State: 86:[23, 28, 21, 14], Operations: [] Exploring Operation: 23+28=51, Resulting Numbers: [21, 14, 51] Generated Node #2: [21, 14, 51] from Operation: 23+28=51 Current State: 86:[21, 14, 51], Operations: ['23+28=51'] Exploring Operation: 21+14=35, Resulting Numbers: [51, 35] Generated Node #3: [51, 35] from Operation: 21+14=35 Current State: 86:[51, 35], Operations: ['23+28=51', '21+14=35'] Exploring Operation: 51+35=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 70, 67, 4 ]
33
[ "9*4=36", "70-67=3", "36-3=33" ]
Current State: 33:[9, 70, 67, 4], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [70, 67, 36] Generated Node #2: [70, 67, 36] from Operation: 9*4=36 Current State: 33:[70, 67, 36], Operations: ['9*4=36'] Exploring Operation: 70-67=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 70-67=3 Current State: 33:[36, 3], Operations: ['9*4=36', '70-67=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 93, 47, 3 ]
35
[ "19+47=66", "93/3=31", "66-31=35" ]
Current State: 35:[19, 93, 47, 3], Operations: [] Exploring Operation: 19+47=66, Resulting Numbers: [93, 3, 66] Generated Node #2: [93, 3, 66] from Operation: 19+47=66 Current State: 35:[93, 3, 66], Operations: ['19+47=66'] Exploring Operation: 93/3=31, Resulting Numbers: [66, 31] Generated Node #3: [66, 31] from Operation: 93/3=31 Current State: 35:[66, 31], Operations: ['19+47=66', '93/3=31'] Exploring Operation: 66-31=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 20, 96, 69, 31 ]
38
[ "96-20=76", "69-31=38", "76-38=38" ]
Current State: 38:[20, 96, 69, 31], Operations: [] Exploring Operation: 96-20=76, Resulting Numbers: [69, 31, 76] Generated Node #2: [69, 31, 76] from Operation: 96-20=76 Current State: 38:[69, 31, 76], Operations: ['96-20=76'] Exploring Operation: 69-31=38, Resulting Numbers: [76, 38] Generated Node #3: [76, 38] from Operation: 69-31=38 Current State: 38:[76, 38], Operations: ['96-20=76', '69-31=38'] Exploring Operation: 76-38=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 85, 66, 4, 5 ]
91
[ "85-66=19", "5*19=95", "95-4=91" ]
Current State: 91:[85, 66, 4, 5], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [4, 5, 19] Generated Node #2: [4, 5, 19] from Operation: 85-66=19 Current State: 91:[4, 5, 19], Operations: ['85-66=19'] Exploring Operation: 5*19=95, Resulting Numbers: [4, 95] Generated Node #3: [4, 95] from Operation: 5*19=95 Current State: 91:[4, 95], Operations: ['85-66=19', '5*19=95'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 15, 58, 83 ]
100
[ "15-11=4", "83-58=25", "4*25=100" ]
Current State: 100:[11, 15, 58, 83], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [58, 83, 4] Generated Node #2: [58, 83, 4] from Operation: 15-11=4 Current State: 100:[58, 83, 4], Operations: ['15-11=4'] Exploring Operation: 83-58=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 83-58=25 Current State: 100:[4, 25], Operations: ['15-11=4', '83-58=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 20, 27, 9, 38 ]
76
[ "20+27=47", "38-9=29", "47+29=76" ]
Current State: 76:[20, 27, 9, 38], Operations: [] Exploring Operation: 20+27=47, Resulting Numbers: [9, 38, 47] Generated Node #2: [9, 38, 47] from Operation: 20+27=47 Current State: 76:[9, 38, 47], Operations: ['20+27=47'] Exploring Operation: 38-9=29, Resulting Numbers: [47, 29] Generated Node #3: [47, 29] from Operation: 38-9=29 Current State: 76:[47, 29], Operations: ['20+27=47', '38-9=29'] Exploring Operation: 47+29=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 99, 21, 82 ]
99
[ "60+21=81", "82-81=1", "99*1=99" ]
Current State: 99:[60, 99, 21, 82], Operations: [] Exploring Operation: 60+21=81, Resulting Numbers: [99, 82, 81] Generated Node #2: [99, 82, 81] from Operation: 60+21=81 Current State: 99:[99, 82, 81], Operations: ['60+21=81'] Exploring Operation: 82-81=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 82-81=1 Current State: 99:[99, 1], Operations: ['60+21=81', '82-81=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 43, 23, 54, 13 ]
47
[ "43-23=20", "54+13=67", "67-20=47" ]
Current State: 47:[43, 23, 54, 13], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [54, 13, 20] Generated Node #2: [54, 13, 20] from Operation: 43-23=20 Current State: 47:[54, 13, 20], Operations: ['43-23=20'] Exploring Operation: 54+13=67, Resulting Numbers: [20, 67] Generated Node #3: [20, 67] from Operation: 54+13=67 Current State: 47:[20, 67], Operations: ['43-23=20', '54+13=67'] Exploring Operation: 67-20=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 82, 79, 16 ]
15
[ "82-79=3", "16*3=48", "48-33=15" ]
Current State: 15:[33, 82, 79, 16], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [33, 16, 3] Generated Node #2: [33, 16, 3] from Operation: 82-79=3 Current State: 15:[33, 16, 3], Operations: ['82-79=3'] Exploring Operation: 16*3=48, Resulting Numbers: [33, 48] Generated Node #3: [33, 48] from Operation: 16*3=48 Current State: 15:[33, 48], Operations: ['82-79=3', '16*3=48'] Exploring Operation: 48-33=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 48, 23, 31 ]
51
[ "48-45=3", "23+31=54", "54-3=51" ]
Current State: 51:[45, 48, 23, 31], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [23, 31, 3] Generated Node #2: [23, 31, 3] from Operation: 48-45=3 Current State: 51:[23, 31, 3], Operations: ['48-45=3'] Exploring Operation: 23+31=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 23+31=54 Current State: 51:[3, 54], Operations: ['48-45=3', '23+31=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 78, 12, 75 ]
30
[ "78-21=57", "12+75=87", "87-57=30" ]
Current State: 30:[21, 78, 12, 75], Operations: [] Exploring Operation: 78-21=57, Resulting Numbers: [12, 75, 57] Generated Node #2: [12, 75, 57] from Operation: 78-21=57 Current State: 30:[12, 75, 57], Operations: ['78-21=57'] Exploring Operation: 12+75=87, Resulting Numbers: [57, 87] Generated Node #3: [57, 87] from Operation: 12+75=87 Current State: 30:[57, 87], Operations: ['78-21=57', '12+75=87'] Exploring Operation: 87-57=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 4, 76, 66 ]
13
[ "4-1=3", "76-66=10", "3+10=13" ]
Current State: 13:[1, 4, 76, 66], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [76, 66, 3] Generated Node #2: [76, 66, 3] from Operation: 4-1=3 Current State: 13:[76, 66, 3], Operations: ['4-1=3'] Exploring Operation: 76-66=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 76-66=10 Current State: 13:[3, 10], Operations: ['4-1=3', '76-66=10'] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 43, 55, 3 ]
96
[ "55-43=12", "3*12=36", "60+36=96" ]
Current State: 96:[60, 43, 55, 3], Operations: [] Exploring Operation: 55-43=12, Resulting Numbers: [60, 3, 12] Generated Node #2: [60, 3, 12] from Operation: 55-43=12 Current State: 96:[60, 3, 12], Operations: ['55-43=12'] Exploring Operation: 3*12=36, Resulting Numbers: [60, 36] Generated Node #3: [60, 36] from Operation: 3*12=36 Current State: 96:[60, 36], Operations: ['55-43=12', '3*12=36'] Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 60, 44, 4, 96 ]
76
[ "60-44=16", "96-4=92", "92-16=76" ]
Current State: 76:[60, 44, 4, 96], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [4, 96, 16] Generated Node #2: [4, 96, 16] from Operation: 60-44=16 Current State: 76:[4, 96, 16], Operations: ['60-44=16'] Exploring Operation: 96-4=92, Resulting Numbers: [16, 92] Generated Node #3: [16, 92] from Operation: 96-4=92 Current State: 76:[16, 92], Operations: ['60-44=16', '96-4=92'] Exploring Operation: 92-16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 63, 28, 25 ]
86
[ "74*25=1850", "63*28=1764", "1850-1764=86" ]
Current State: 86:[74, 63, 28, 25], Operations: [] Exploring Operation: 74*25=1850, Resulting Numbers: [63, 28, 1850] Generated Node #2: [63, 28, 1850] from Operation: 74*25=1850 Current State: 86:[63, 28, 1850], Operations: ['74*25=1850'] Exploring Operation: 63*28=1764, Resulting Numbers: [1850, 1764] Generated Node #3: [1850, 1764] from Operation: 63*28=1764 Current State: 86:[1850, 1764], Operations: ['74*25=1850', '63*28=1764'] Exploring Operation: 1850-1764=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 1, 46, 24 ]
10
[ "24-1=23", "20*23=460", "460/46=10" ]
Current State: 10:[20, 1, 46, 24], Operations: [] Exploring Operation: 24-1=23, Resulting Numbers: [20, 46, 23] Generated Node #2: [20, 46, 23] from Operation: 24-1=23 Current State: 10:[20, 46, 23], Operations: ['24-1=23'] Exploring Operation: 20*23=460, Resulting Numbers: [46, 460] Generated Node #3: [46, 460] from Operation: 20*23=460 Current State: 10:[46, 460], Operations: ['24-1=23', '20*23=460'] Exploring Operation: 460/46=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 35, 66, 42, 87 ]
70
[ "35*42=1470", "87-66=21", "1470/21=70" ]
Current State: 70:[35, 66, 42, 87], Operations: [] Exploring Operation: 35*42=1470, Resulting Numbers: [66, 87, 1470] Generated Node #2: [66, 87, 1470] from Operation: 35*42=1470 Current State: 70:[66, 87, 1470], Operations: ['35*42=1470'] Exploring Operation: 87-66=21, Resulting Numbers: [1470, 21] Generated Node #3: [1470, 21] from Operation: 87-66=21 Current State: 70:[1470, 21], Operations: ['35*42=1470', '87-66=21'] Exploring Operation: 1470/21=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 75, 46, 49 ]
69
[ "49-46=3", "75/3=25", "44+25=69" ]
Current State: 69:[44, 75, 46, 49], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [44, 75, 3] Generated Node #2: [44, 75, 3] from Operation: 49-46=3 Current State: 69:[44, 75, 3], Operations: ['49-46=3'] Exploring Operation: 75/3=25, Resulting Numbers: [44, 25] Generated Node #3: [44, 25] from Operation: 75/3=25 Current State: 69:[44, 25], Operations: ['49-46=3', '75/3=25'] Exploring Operation: 44+25=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 62, 76, 34, 1 ]
20
[ "76-62=14", "34*1=34", "34-14=20" ]
Current State: 20:[62, 76, 34, 1], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [34, 1, 14] Generated Node #2: [34, 1, 14] from Operation: 76-62=14 Current State: 20:[34, 1, 14], Operations: ['76-62=14'] Exploring Operation: 34*1=34, Resulting Numbers: [14, 34] Generated Node #3: [14, 34] from Operation: 34*1=34 Current State: 20:[14, 34], Operations: ['76-62=14', '34*1=34'] Exploring Operation: 34-14=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 7, 45, 89, 98 ]
47
[ "45-7=38", "98-89=9", "38+9=47" ]
Current State: 47:[7, 45, 89, 98], Operations: [] Exploring Operation: 45-7=38, Resulting Numbers: [89, 98, 38] Generated Node #2: [89, 98, 38] from Operation: 45-7=38 Current State: 47:[89, 98, 38], Operations: ['45-7=38'] Exploring Operation: 98-89=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 98-89=9 Current State: 47:[38, 9], Operations: ['45-7=38', '98-89=9'] Exploring Operation: 38+9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 55, 2, 37 ]
12
[ "55-28=27", "2+37=39", "39-27=12" ]
Current State: 12:[28, 55, 2, 37], Operations: [] Exploring Operation: 55-28=27, Resulting Numbers: [2, 37, 27] Generated Node #2: [2, 37, 27] from Operation: 55-28=27 Current State: 12:[2, 37, 27], Operations: ['55-28=27'] Exploring Operation: 2+37=39, Resulting Numbers: [27, 39] Generated Node #3: [27, 39] from Operation: 2+37=39 Current State: 12:[27, 39], Operations: ['55-28=27', '2+37=39'] Exploring Operation: 39-27=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 70, 89, 48, 69 ]
38
[ "48*69=3312", "70+3312=3382", "3382/89=38" ]
Current State: 38:[70, 89, 48, 69], Operations: [] Exploring Operation: 48*69=3312, Resulting Numbers: [70, 89, 3312] Generated Node #2: [70, 89, 3312] from Operation: 48*69=3312 Current State: 38:[70, 89, 3312], Operations: ['48*69=3312'] Exploring Operation: 70+3312=3382, Resulting Numbers: [89, 3382] Generated Node #3: [89, 3382] from Operation: 70+3312=3382 Current State: 38:[89, 3382], Operations: ['48*69=3312', '70+3312=3382'] Exploring Operation: 3382/89=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 15, 50, 65 ]
16
[ "15/15=1", "65-50=15", "1+15=16" ]
Current State: 16:[15, 15, 50, 65], Operations: [] Exploring Operation: 15/15=1, Resulting Numbers: [50, 65, 1] Generated Node #2: [50, 65, 1] from Operation: 15/15=1 Current State: 16:[50, 65, 1], Operations: ['15/15=1'] Exploring Operation: 65-50=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 65-50=15 Current State: 16:[1, 15], Operations: ['15/15=1', '65-50=15'] Exploring Operation: 1+15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 62, 82, 50 ]
46
[ "62-50=12", "3*12=36", "82-36=46" ]
Current State: 46:[3, 62, 82, 50], Operations: [] Exploring Operation: 62-50=12, Resulting Numbers: [3, 82, 12] Generated Node #2: [3, 82, 12] from Operation: 62-50=12 Current State: 46:[3, 82, 12], Operations: ['62-50=12'] Exploring Operation: 3*12=36, Resulting Numbers: [82, 36] Generated Node #3: [82, 36] from Operation: 3*12=36 Current State: 46:[82, 36], Operations: ['62-50=12', '3*12=36'] Exploring Operation: 82-36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 79, 70, 76 ]
75
[ "70-45=25", "79-76=3", "25*3=75" ]
Current State: 75:[45, 79, 70, 76], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [79, 76, 25] Generated Node #2: [79, 76, 25] from Operation: 70-45=25 Current State: 75:[79, 76, 25], Operations: ['70-45=25'] Exploring Operation: 79-76=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 79-76=3 Current State: 75:[25, 3], Operations: ['70-45=25', '79-76=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 6, 59, 8 ]
19
[ "87+6=93", "59+93=152", "152/8=19" ]
Current State: 19:[87, 6, 59, 8], Operations: [] Exploring Operation: 87+6=93, Resulting Numbers: [59, 8, 93] Generated Node #2: [59, 8, 93] from Operation: 87+6=93 Current State: 19:[59, 8, 93], Operations: ['87+6=93'] Exploring Operation: 59+93=152, Resulting Numbers: [8, 152] Generated Node #3: [8, 152] from Operation: 59+93=152 Current State: 19:[8, 152], Operations: ['87+6=93', '59+93=152'] Exploring Operation: 152/8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 76, 57, 30 ]
54
[ "14+76=90", "90/30=3", "57-3=54" ]
Current State: 54:[14, 76, 57, 30], Operations: [] Exploring Operation: 14+76=90, Resulting Numbers: [57, 30, 90] Generated Node #2: [57, 30, 90] from Operation: 14+76=90 Current State: 54:[57, 30, 90], Operations: ['14+76=90'] Exploring Operation: 90/30=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 90/30=3 Current State: 54:[57, 3], Operations: ['14+76=90', '90/30=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 35, 3, 46 ]
88
[ "35+46=81", "81/3=27", "61+27=88" ]
Current State: 88:[61, 35, 3, 46], Operations: [] Exploring Operation: 35+46=81, Resulting Numbers: [61, 3, 81] Generated Node #2: [61, 3, 81] from Operation: 35+46=81 Current State: 88:[61, 3, 81], Operations: ['35+46=81'] Exploring Operation: 81/3=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 81/3=27 Current State: 88:[61, 27], Operations: ['35+46=81', '81/3=27'] Exploring Operation: 61+27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 49, 74, 71 ]
76
[ "71-49=22", "44/22=2", "74+2=76" ]
Current State: 76:[44, 49, 74, 71], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [44, 74, 22] Generated Node #2: [44, 74, 22] from Operation: 71-49=22 Current State: 76:[44, 74, 22], Operations: ['71-49=22'] Exploring Operation: 44/22=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 44/22=2 Current State: 76:[74, 2], Operations: ['71-49=22', '44/22=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 77, 99, 93, 31 ]
40
[ "99-77=22", "93-31=62", "62-22=40" ]
Current State: 40:[77, 99, 93, 31], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [93, 31, 22] Generated Node #2: [93, 31, 22] from Operation: 99-77=22 Current State: 40:[93, 31, 22], Operations: ['99-77=22'] Exploring Operation: 93-31=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 93-31=62 Current State: 40:[22, 62], Operations: ['99-77=22', '93-31=62'] Exploring Operation: 62-22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 19, 44, 28, 49 ]
58
[ "44*49=2156", "2156/28=77", "77-19=58" ]
Current State: 58:[19, 44, 28, 49], Operations: [] Exploring Operation: 44*49=2156, Resulting Numbers: [19, 28, 2156] Generated Node #2: [19, 28, 2156] from Operation: 44*49=2156 Current State: 58:[19, 28, 2156], Operations: ['44*49=2156'] Exploring Operation: 2156/28=77, Resulting Numbers: [19, 77] Generated Node #3: [19, 77] from Operation: 2156/28=77 Current State: 58:[19, 77], Operations: ['44*49=2156', '2156/28=77'] Exploring Operation: 77-19=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 66, 30, 88 ]
48
[ "88-86=2", "66+30=96", "96/2=48" ]
Current State: 48:[86, 66, 30, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [66, 30, 2] Generated Node #2: [66, 30, 2] from Operation: 88-86=2 Current State: 48:[66, 30, 2], Operations: ['88-86=2'] Exploring Operation: 66+30=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 66+30=96 Current State: 48:[2, 96], Operations: ['88-86=2', '66+30=96'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 71, 42, 85, 31 ]
87
[ "71-42=29", "85+31=116", "116-29=87" ]
Current State: 87:[71, 42, 85, 31], Operations: [] Exploring Operation: 71-42=29, Resulting Numbers: [85, 31, 29] Generated Node #2: [85, 31, 29] from Operation: 71-42=29 Current State: 87:[85, 31, 29], Operations: ['71-42=29'] Exploring Operation: 85+31=116, Resulting Numbers: [29, 116] Generated Node #3: [29, 116] from Operation: 85+31=116 Current State: 87:[29, 116], Operations: ['71-42=29', '85+31=116'] Exploring Operation: 116-29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 89, 87, 67 ]
33
[ "89-87=2", "50*2=100", "100-67=33" ]
Current State: 33:[50, 89, 87, 67], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [50, 67, 2] Generated Node #2: [50, 67, 2] from Operation: 89-87=2 Current State: 33:[50, 67, 2], Operations: ['89-87=2'] Exploring Operation: 50*2=100, Resulting Numbers: [67, 100] Generated Node #3: [67, 100] from Operation: 50*2=100 Current State: 33:[67, 100], Operations: ['89-87=2', '50*2=100'] Exploring Operation: 100-67=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 23, 82, 18, 35 ]
89
[ "23-18=5", "35/5=7", "82+7=89" ]
Current State: 89:[23, 82, 18, 35], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [82, 35, 5] Generated Node #2: [82, 35, 5] from Operation: 23-18=5 Current State: 89:[82, 35, 5], Operations: ['23-18=5'] Exploring Operation: 35/5=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 35/5=7 Current State: 89:[82, 7], Operations: ['23-18=5', '35/5=7'] Exploring Operation: 82+7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 42, 40, 19, 27 ]
35
[ "42-40=2", "27*2=54", "54-19=35" ]
Current State: 35:[42, 40, 19, 27], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [19, 27, 2] Generated Node #2: [19, 27, 2] from Operation: 42-40=2 Current State: 35:[19, 27, 2], Operations: ['42-40=2'] Exploring Operation: 27*2=54, Resulting Numbers: [19, 54] Generated Node #3: [19, 54] from Operation: 27*2=54 Current State: 35:[19, 54], Operations: ['42-40=2', '27*2=54'] Exploring Operation: 54-19=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 9, 32, 85 ]
93
[ "33-9=24", "32+85=117", "117-24=93" ]
Current State: 93:[33, 9, 32, 85], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [32, 85, 24] Generated Node #2: [32, 85, 24] from Operation: 33-9=24 Current State: 93:[32, 85, 24], Operations: ['33-9=24'] Exploring Operation: 32+85=117, Resulting Numbers: [24, 117] Generated Node #3: [24, 117] from Operation: 32+85=117 Current State: 93:[24, 117], Operations: ['33-9=24', '32+85=117'] Exploring Operation: 117-24=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 13, 95, 61 ]
31
[ "78-13=65", "95-61=34", "65-34=31" ]
Current State: 31:[78, 13, 95, 61], Operations: [] Exploring Operation: 78-13=65, Resulting Numbers: [95, 61, 65] Generated Node #2: [95, 61, 65] from Operation: 78-13=65 Current State: 31:[95, 61, 65], Operations: ['78-13=65'] Exploring Operation: 95-61=34, Resulting Numbers: [65, 34] Generated Node #3: [65, 34] from Operation: 95-61=34 Current State: 31:[65, 34], Operations: ['78-13=65', '95-61=34'] Exploring Operation: 65-34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 1, 4, 26 ]
69
[ "36-1=35", "4*26=104", "104-35=69" ]
Current State: 69:[36, 1, 4, 26], Operations: [] Exploring Operation: 36-1=35, Resulting Numbers: [4, 26, 35] Generated Node #2: [4, 26, 35] from Operation: 36-1=35 Current State: 69:[4, 26, 35], Operations: ['36-1=35'] Exploring Operation: 4*26=104, Resulting Numbers: [35, 104] Generated Node #3: [35, 104] from Operation: 4*26=104 Current State: 69:[35, 104], Operations: ['36-1=35', '4*26=104'] Exploring Operation: 104-35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 29, 49, 21, 72 ]
71
[ "49-29=20", "72-21=51", "20+51=71" ]
Current State: 71:[29, 49, 21, 72], Operations: [] Exploring Operation: 49-29=20, Resulting Numbers: [21, 72, 20] Generated Node #2: [21, 72, 20] from Operation: 49-29=20 Current State: 71:[21, 72, 20], Operations: ['49-29=20'] Exploring Operation: 72-21=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 72-21=51 Current State: 71:[20, 51], Operations: ['49-29=20', '72-21=51'] Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 76, 73, 76 ]
96
[ "22+73=95", "76/76=1", "95+1=96" ]
Current State: 96:[22, 76, 73, 76], Operations: [] Exploring Operation: 22+73=95, Resulting Numbers: [76, 76, 95] Generated Node #2: [76, 76, 95] from Operation: 22+73=95 Current State: 96:[76, 76, 95], Operations: ['22+73=95'] Exploring Operation: 76/76=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 76/76=1 Current State: 96:[95, 1], Operations: ['22+73=95', '76/76=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 47, 4, 94, 83 ]
91
[ "94/47=2", "4*2=8", "83+8=91" ]
Current State: 91:[47, 4, 94, 83], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [4, 83, 2] Generated Node #2: [4, 83, 2] from Operation: 94/47=2 Current State: 91:[4, 83, 2], Operations: ['94/47=2'] Exploring Operation: 4*2=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 4*2=8 Current State: 91:[83, 8], Operations: ['94/47=2', '4*2=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 76, 2, 13, 2 ]
32
[ "76/2=38", "38/2=19", "13+19=32" ]
Current State: 32:[76, 2, 13, 2], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [13, 38] Generated Node #2: [13, 38] from Operation: 76/2=38 Current State: 32:[13, 38], Operations: ['76/2=38'] Exploring Operation: 38/2=19, Resulting Numbers: [13, 19] Generated Node #3: [13, 19] from Operation: 38/2=19 Current State: 32:[13, 19], Operations: ['76/2=38', '38/2=19'] Exploring Operation: 13+19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 62, 39, 4 ]
31
[ "62-58=4", "39-4=35", "35-4=31" ]
Current State: 31:[58, 62, 39, 4], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [39, 4, 4] Generated Node #2: [39, 4, 4] from Operation: 62-58=4 Current State: 31:[39, 4, 4], Operations: ['62-58=4'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,31 equal: Goal Reached Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 60, 15, 64, 69 ]
58
[ "60+15=75", "64+69=133", "133-75=58" ]
Current State: 58:[60, 15, 64, 69], Operations: [] Exploring Operation: 60+15=75, Resulting Numbers: [64, 69, 75] Generated Node #2: [64, 69, 75] from Operation: 60+15=75 Current State: 58:[64, 69, 75], Operations: ['60+15=75'] Exploring Operation: 64+69=133, Resulting Numbers: [75, 133] Generated Node #3: [75, 133] from Operation: 64+69=133 Current State: 58:[75, 133], Operations: ['60+15=75', '64+69=133'] Exploring Operation: 133-75=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 77, 45, 62, 90 ]
13
[ "77-62=15", "90/45=2", "15-2=13" ]
Current State: 13:[77, 45, 62, 90], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [45, 90, 15] Generated Node #2: [45, 90, 15] from Operation: 77-62=15 Current State: 13:[45, 90, 15], Operations: ['77-62=15'] Exploring Operation: 90/45=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 90/45=2 Current State: 13:[15, 2], Operations: ['77-62=15', '90/45=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 93, 4, 37 ]
70
[ "93-15=78", "4*37=148", "148-78=70" ]
Current State: 70:[15, 93, 4, 37], Operations: [] Exploring Operation: 93-15=78, Resulting Numbers: [4, 37, 78] Generated Node #2: [4, 37, 78] from Operation: 93-15=78 Current State: 70:[4, 37, 78], Operations: ['93-15=78'] Exploring Operation: 4*37=148, Resulting Numbers: [78, 148] Generated Node #3: [78, 148] from Operation: 4*37=148 Current State: 70:[78, 148], Operations: ['93-15=78', '4*37=148'] Exploring Operation: 148-78=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 66, 32, 96, 51 ]
73
[ "66*32=2112", "2112/96=22", "51+22=73" ]
Current State: 73:[66, 32, 96, 51], Operations: [] Exploring Operation: 66*32=2112, Resulting Numbers: [96, 51, 2112] Generated Node #2: [96, 51, 2112] from Operation: 66*32=2112 Current State: 73:[96, 51, 2112], Operations: ['66*32=2112'] Exploring Operation: 2112/96=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 2112/96=22 Current State: 73:[51, 22], Operations: ['66*32=2112', '2112/96=22'] Exploring Operation: 51+22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 84, 24, 53, 88 ]
25
[ "84-24=60", "88-53=35", "60-35=25" ]
Current State: 25:[84, 24, 53, 88], Operations: [] Exploring Operation: 84-24=60, Resulting Numbers: [53, 88, 60] Generated Node #2: [53, 88, 60] from Operation: 84-24=60 Current State: 25:[53, 88, 60], Operations: ['84-24=60'] Exploring Operation: 88-53=35, Resulting Numbers: [60, 35] Generated Node #3: [60, 35] from Operation: 88-53=35 Current State: 25:[60, 35], Operations: ['84-24=60', '88-53=35'] Exploring Operation: 60-35=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 35, 97, 17 ]
32
[ "13+35=48", "97-17=80", "80-48=32" ]
Current State: 32:[13, 35, 97, 17], Operations: [] Exploring Operation: 13+35=48, Resulting Numbers: [97, 17, 48] Generated Node #2: [97, 17, 48] from Operation: 13+35=48 Current State: 32:[97, 17, 48], Operations: ['13+35=48'] Exploring Operation: 97-17=80, Resulting Numbers: [48, 80] Generated Node #3: [48, 80] from Operation: 97-17=80 Current State: 32:[48, 80], Operations: ['13+35=48', '97-17=80'] Exploring Operation: 80-48=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 25, 28, 66 ]
76
[ "28-25=3", "66/3=22", "54+22=76" ]
Current State: 76:[54, 25, 28, 66], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [54, 66, 3] Generated Node #2: [54, 66, 3] from Operation: 28-25=3 Current State: 76:[54, 66, 3], Operations: ['28-25=3'] Exploring Operation: 66/3=22, Resulting Numbers: [54, 22] Generated Node #3: [54, 22] from Operation: 66/3=22 Current State: 76:[54, 22], Operations: ['28-25=3', '66/3=22'] Exploring Operation: 54+22=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 57, 15, 61, 43 ]
61
[ "57-15=42", "43-42=1", "61*1=61" ]
Current State: 61:[57, 15, 61, 43], Operations: [] Exploring Operation: 57-15=42, Resulting Numbers: [61, 43, 42] Generated Node #2: [61, 43, 42] from Operation: 57-15=42 Current State: 61:[61, 43, 42], Operations: ['57-15=42'] Exploring Operation: 43-42=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 43-42=1 Current State: 61:[61, 1], Operations: ['57-15=42', '43-42=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4