nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 30, 2, 34, 98 ]
85
[ "98-30=68", "34/2=17", "68+17=85" ]
Current State: 85:[30, 2, 34, 98], Operations: [] Exploring Operation: 98-30=68, Resulting Numbers: [2, 34, 68] Generated Node #2: [2, 34, 68] from Operation: 98-30=68 Current State: 85:[2, 34, 68], Operations: ['98-30=68'] Exploring Operation: 34/2=17, Resulting Numbers: [68, 17] Generated Node #3: [68, 17] from Operation: 34/2=17 Current State: 85:[68, 17], Operations: ['98-30=68', '34/2=17'] Exploring Operation: 68+17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 70, 77, 73 ]
72
[ "3*73=219", "70+77=147", "219-147=72" ]
Current State: 72:[3, 70, 77, 73], Operations: [] Exploring Operation: 3*73=219, Resulting Numbers: [70, 77, 219] Generated Node #2: [70, 77, 219] from Operation: 3*73=219 Current State: 72:[70, 77, 219], Operations: ['3*73=219'] Exploring Operation: 70+77=147, Resulting Numbers: [219, 147] Generated Node #3: [219, 147] from Operation: 70+77=147 Current State: 72:[219, 147], Operations: ['3*73=219', '70+77=147'] Exploring Operation: 219-147=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 79, 20, 99 ]
92
[ "79-52=27", "20+99=119", "119-27=92" ]
Current State: 92:[52, 79, 20, 99], Operations: [] Exploring Operation: 79-52=27, Resulting Numbers: [20, 99, 27] Generated Node #2: [20, 99, 27] from Operation: 79-52=27 Current State: 92:[20, 99, 27], Operations: ['79-52=27'] Exploring Operation: 20+99=119, Resulting Numbers: [27, 119] Generated Node #3: [27, 119] from Operation: 20+99=119 Current State: 92:[27, 119], Operations: ['79-52=27', '20+99=119'] Exploring Operation: 119-27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 42, 72, 24, 37 ]
51
[ "42*24=1008", "1008/72=14", "37+14=51" ]
Current State: 51:[42, 72, 24, 37], Operations: [] Exploring Operation: 42*24=1008, Resulting Numbers: [72, 37, 1008] Generated Node #2: [72, 37, 1008] from Operation: 42*24=1008 Current State: 51:[72, 37, 1008], Operations: ['42*24=1008'] Exploring Operation: 1008/72=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 1008/72=14 Current State: 51:[37, 14], Operations: ['42*24=1008', '1008/72=14'] Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 89, 42, 24, 90 ]
65
[ "89+42=131", "90-24=66", "131-66=65" ]
Current State: 65:[89, 42, 24, 90], Operations: [] Exploring Operation: 89+42=131, Resulting Numbers: [24, 90, 131] Generated Node #2: [24, 90, 131] from Operation: 89+42=131 Current State: 65:[24, 90, 131], Operations: ['89+42=131'] Exploring Operation: 90-24=66, Resulting Numbers: [131, 66] Generated Node #3: [131, 66] from Operation: 90-24=66 Current State: 65:[131, 66], Operations: ['89+42=131', '90-24=66'] Exploring Operation: 131-66=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 81, 16, 59 ]
28
[ "81-10=71", "59-16=43", "71-43=28" ]
Current State: 28:[10, 81, 16, 59], Operations: [] Exploring Operation: 81-10=71, Resulting Numbers: [16, 59, 71] Generated Node #2: [16, 59, 71] from Operation: 81-10=71 Current State: 28:[16, 59, 71], Operations: ['81-10=71'] Exploring Operation: 59-16=43, Resulting Numbers: [71, 43] Generated Node #3: [71, 43] from Operation: 59-16=43 Current State: 28:[71, 43], Operations: ['81-10=71', '59-16=43'] Exploring Operation: 71-43=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 14, 7, 28, 26 ]
91
[ "14*7=98", "26*98=2548", "2548/28=91" ]
Current State: 91:[14, 7, 28, 26], Operations: [] Exploring Operation: 14*7=98, Resulting Numbers: [28, 26, 98] Generated Node #2: [28, 26, 98] from Operation: 14*7=98 Current State: 91:[28, 26, 98], Operations: ['14*7=98'] Exploring Operation: 26*98=2548, Resulting Numbers: [28, 2548] Generated Node #3: [28, 2548] from Operation: 26*98=2548 Current State: 91:[28, 2548], Operations: ['14*7=98', '26*98=2548'] Exploring Operation: 2548/28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 81, 42, 84, 27 ]
12
[ "81+42=123", "84+27=111", "123-111=12" ]
Current State: 12:[81, 42, 84, 27], Operations: [] Exploring Operation: 81+42=123, Resulting Numbers: [84, 27, 123] Generated Node #2: [84, 27, 123] from Operation: 81+42=123 Current State: 12:[84, 27, 123], Operations: ['81+42=123'] Exploring Operation: 84+27=111, Resulting Numbers: [123, 111] Generated Node #3: [123, 111] from Operation: 84+27=111 Current State: 12:[123, 111], Operations: ['81+42=123', '84+27=111'] Exploring Operation: 123-111=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 62, 32, 92 ]
83
[ "81+62=143", "92-32=60", "143-60=83" ]
Current State: 83:[81, 62, 32, 92], Operations: [] Exploring Operation: 81+62=143, Resulting Numbers: [32, 92, 143] Generated Node #2: [32, 92, 143] from Operation: 81+62=143 Current State: 83:[32, 92, 143], Operations: ['81+62=143'] Exploring Operation: 92-32=60, Resulting Numbers: [143, 60] Generated Node #3: [143, 60] from Operation: 92-32=60 Current State: 83:[143, 60], Operations: ['81+62=143', '92-32=60'] Exploring Operation: 143-60=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 50, 30, 4 ]
73
[ "50-3=47", "30*4=120", "120-47=73" ]
Current State: 73:[3, 50, 30, 4], Operations: [] Exploring Operation: 50-3=47, Resulting Numbers: [30, 4, 47] Generated Node #2: [30, 4, 47] from Operation: 50-3=47 Current State: 73:[30, 4, 47], Operations: ['50-3=47'] Exploring Operation: 30*4=120, Resulting Numbers: [47, 120] Generated Node #3: [47, 120] from Operation: 30*4=120 Current State: 73:[47, 120], Operations: ['50-3=47', '30*4=120'] Exploring Operation: 120-47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 96, 28, 3 ]
20
[ "48+96=144", "144/3=48", "48-28=20" ]
Current State: 20:[48, 96, 28, 3], Operations: [] Exploring Operation: 48+96=144, Resulting Numbers: [28, 3, 144] Generated Node #2: [28, 3, 144] from Operation: 48+96=144 Current State: 20:[28, 3, 144], Operations: ['48+96=144'] Exploring Operation: 144/3=48, Resulting Numbers: [28, 48] Generated Node #3: [28, 48] from Operation: 144/3=48 Current State: 20:[28, 48], Operations: ['48+96=144', '144/3=48'] Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 22, 1, 39 ]
51
[ "68+22=90", "1*39=39", "90-39=51" ]
Current State: 51:[68, 22, 1, 39], Operations: [] Exploring Operation: 68+22=90, Resulting Numbers: [1, 39, 90] Generated Node #2: [1, 39, 90] from Operation: 68+22=90 Current State: 51:[1, 39, 90], Operations: ['68+22=90'] Exploring Operation: 1*39=39, Resulting Numbers: [90, 39] Generated Node #3: [90, 39] from Operation: 1*39=39 Current State: 51:[90, 39], Operations: ['68+22=90', '1*39=39'] Exploring Operation: 90-39=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 99, 41, 93 ]
83
[ "36+99=135", "93-41=52", "135-52=83" ]
Current State: 83:[36, 99, 41, 93], Operations: [] Exploring Operation: 36+99=135, Resulting Numbers: [41, 93, 135] Generated Node #2: [41, 93, 135] from Operation: 36+99=135 Current State: 83:[41, 93, 135], Operations: ['36+99=135'] Exploring Operation: 93-41=52, Resulting Numbers: [135, 52] Generated Node #3: [135, 52] from Operation: 93-41=52 Current State: 83:[135, 52], Operations: ['36+99=135', '93-41=52'] Exploring Operation: 135-52=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 49, 83, 40 ]
93
[ "49-45=4", "40/4=10", "83+10=93" ]
Current State: 93:[45, 49, 83, 40], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [83, 40, 4] Generated Node #2: [83, 40, 4] from Operation: 49-45=4 Current State: 93:[83, 40, 4], Operations: ['49-45=4'] Exploring Operation: 40/4=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 40/4=10 Current State: 93:[83, 10], Operations: ['49-45=4', '40/4=10'] Exploring Operation: 83+10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 2, 51, 50 ]
41
[ "30*2=60", "51+50=101", "101-60=41" ]
Current State: 41:[30, 2, 51, 50], Operations: [] Exploring Operation: 30*2=60, Resulting Numbers: [51, 50, 60] Generated Node #2: [51, 50, 60] from Operation: 30*2=60 Current State: 41:[51, 50, 60], Operations: ['30*2=60'] Exploring Operation: 51+50=101, Resulting Numbers: [60, 101] Generated Node #3: [60, 101] from Operation: 51+50=101 Current State: 41:[60, 101], Operations: ['30*2=60', '51+50=101'] Exploring Operation: 101-60=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 17, 18, 62, 5 ]
58
[ "18-17=1", "62-5=57", "1+57=58" ]
Current State: 58:[17, 18, 62, 5], Operations: [] Exploring Operation: 18-17=1, Resulting Numbers: [62, 5, 1] Generated Node #2: [62, 5, 1] from Operation: 18-17=1 Current State: 58:[62, 5, 1], Operations: ['18-17=1'] Exploring Operation: 62-5=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 62-5=57 Current State: 58:[1, 57], Operations: ['18-17=1', '62-5=57'] Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 77, 14, 83, 76 ]
96
[ "77-14=63", "83+76=159", "159-63=96" ]
Current State: 96:[77, 14, 83, 76], Operations: [] Exploring Operation: 77-14=63, Resulting Numbers: [83, 76, 63] Generated Node #2: [83, 76, 63] from Operation: 77-14=63 Current State: 96:[83, 76, 63], Operations: ['77-14=63'] Exploring Operation: 83+76=159, Resulting Numbers: [63, 159] Generated Node #3: [63, 159] from Operation: 83+76=159 Current State: 96:[63, 159], Operations: ['77-14=63', '83+76=159'] Exploring Operation: 159-63=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 4, 43, 24, 89 ]
66
[ "4+43=47", "24+89=113", "113-47=66" ]
Current State: 66:[4, 43, 24, 89], Operations: [] Exploring Operation: 4+43=47, Resulting Numbers: [24, 89, 47] Generated Node #2: [24, 89, 47] from Operation: 4+43=47 Current State: 66:[24, 89, 47], Operations: ['4+43=47'] Exploring Operation: 24+89=113, Resulting Numbers: [47, 113] Generated Node #3: [47, 113] from Operation: 24+89=113 Current State: 66:[47, 113], Operations: ['4+43=47', '24+89=113'] Exploring Operation: 113-47=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 10, 44, 43 ]
45
[ "36+10=46", "44-43=1", "46-1=45" ]
Current State: 45:[36, 10, 44, 43], Operations: [] Exploring Operation: 36+10=46, Resulting Numbers: [44, 43, 46] Generated Node #2: [44, 43, 46] from Operation: 36+10=46 Current State: 45:[44, 43, 46], Operations: ['36+10=46'] Exploring Operation: 44-43=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 44-43=1 Current State: 45:[46, 1], Operations: ['36+10=46', '44-43=1'] Exploring Operation: 46-1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 68, 93, 5 ]
18
[ "93-68=25", "25/5=5", "23-5=18" ]
Current State: 18:[23, 68, 93, 5], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [23, 5, 25] Generated Node #2: [23, 5, 25] from Operation: 93-68=25 Current State: 18:[23, 5, 25], Operations: ['93-68=25'] Exploring Operation: 25/5=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 25/5=5 Current State: 18:[23, 5], Operations: ['93-68=25', '25/5=5'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 25, 33, 75 ]
100
[ "33-31=2", "75-25=50", "2*50=100" ]
Current State: 100:[31, 25, 33, 75], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [25, 75, 2] Generated Node #2: [25, 75, 2] from Operation: 33-31=2 Current State: 100:[25, 75, 2], Operations: ['33-31=2'] Exploring Operation: 75-25=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 75-25=50 Current State: 100:[2, 50], Operations: ['33-31=2', '75-25=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 28, 16, 31, 31 ]
74
[ "28-16=12", "31+31=62", "12+62=74" ]
Current State: 74:[28, 16, 31, 31], Operations: [] Exploring Operation: 28-16=12, Resulting Numbers: [31, 31, 12] Generated Node #2: [31, 31, 12] from Operation: 28-16=12 Current State: 74:[31, 31, 12], Operations: ['28-16=12'] Exploring Operation: 31+31=62, Resulting Numbers: [12, 62] Generated Node #3: [12, 62] from Operation: 31+31=62 Current State: 74:[12, 62], Operations: ['28-16=12', '31+31=62'] Exploring Operation: 12+62=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 91, 5, 26, 92 ]
31
[ "92-91=1", "5+26=31", "1*31=31" ]
Current State: 31:[91, 5, 26, 92], Operations: [] Exploring Operation: 92-91=1, Resulting Numbers: [5, 26, 1] Generated Node #2: [5, 26, 1] from Operation: 92-91=1 Current State: 31:[5, 26, 1], Operations: ['92-91=1'] Exploring Operation: 5+26=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 5+26=31 Current State: 31:[1, 31], Operations: ['92-91=1', '5+26=31'] Exploring Operation: 1*31=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 64, 16, 48 ]
74
[ "64-54=10", "16+48=64", "10+64=74" ]
Current State: 74:[54, 64, 16, 48], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [16, 48, 10] Generated Node #2: [16, 48, 10] from Operation: 64-54=10 Current State: 74:[16, 48, 10], Operations: ['64-54=10'] Exploring Operation: 16+48=64, Resulting Numbers: [10, 64] Generated Node #3: [10, 64] from Operation: 16+48=64 Current State: 74:[10, 64], Operations: ['64-54=10', '16+48=64'] Exploring Operation: 10+64=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 19, 12, 26, 90 ]
57
[ "19-12=7", "90-26=64", "64-7=57" ]
Current State: 57:[19, 12, 26, 90], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [26, 90, 7] Generated Node #2: [26, 90, 7] from Operation: 19-12=7 Current State: 57:[26, 90, 7], Operations: ['19-12=7'] Exploring Operation: 90-26=64, Resulting Numbers: [7, 64] Generated Node #3: [7, 64] from Operation: 90-26=64 Current State: 57:[7, 64], Operations: ['19-12=7', '90-26=64'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 57, 42, 76, 34 ]
95
[ "57-42=15", "76+34=110", "110-15=95" ]
Current State: 95:[57, 42, 76, 34], Operations: [] Exploring Operation: 57-42=15, Resulting Numbers: [76, 34, 15] Generated Node #2: [76, 34, 15] from Operation: 57-42=15 Current State: 95:[76, 34, 15], Operations: ['57-42=15'] Exploring Operation: 76+34=110, Resulting Numbers: [15, 110] Generated Node #3: [15, 110] from Operation: 76+34=110 Current State: 95:[15, 110], Operations: ['57-42=15', '76+34=110'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 98, 14, 6, 99 ]
99
[ "98/14=7", "7-6=1", "99*1=99" ]
Current State: 99:[98, 14, 6, 99], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [6, 99, 7] Generated Node #2: [6, 99, 7] from Operation: 98/14=7 Current State: 99:[6, 99, 7], Operations: ['98/14=7'] Exploring Operation: 7-6=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 7-6=1 Current State: 99:[99, 1], Operations: ['98/14=7', '7-6=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 53, 34, 1, 58 ]
77
[ "53-34=19", "1*58=58", "19+58=77" ]
Current State: 77:[53, 34, 1, 58], Operations: [] Exploring Operation: 53-34=19, Resulting Numbers: [1, 58, 19] Generated Node #2: [1, 58, 19] from Operation: 53-34=19 Current State: 77:[1, 58, 19], Operations: ['53-34=19'] Exploring Operation: 1*58=58, Resulting Numbers: [19, 58] Generated Node #3: [19, 58] from Operation: 1*58=58 Current State: 77:[19, 58], Operations: ['53-34=19', '1*58=58'] Exploring Operation: 19+58=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 48, 54, 18, 61 ]
10
[ "61-48=13", "54/18=3", "13-3=10" ]
Current State: 10:[48, 54, 18, 61], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [54, 18, 13] Generated Node #2: [54, 18, 13] from Operation: 61-48=13 Current State: 10:[54, 18, 13], Operations: ['61-48=13'] Exploring Operation: 54/18=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 54/18=3 Current State: 10:[13, 3], Operations: ['61-48=13', '54/18=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 23, 97, 4, 32 ]
46
[ "97-23=74", "32-4=28", "74-28=46" ]
Current State: 46:[23, 97, 4, 32], Operations: [] Exploring Operation: 97-23=74, Resulting Numbers: [4, 32, 74] Generated Node #2: [4, 32, 74] from Operation: 97-23=74 Current State: 46:[4, 32, 74], Operations: ['97-23=74'] Exploring Operation: 32-4=28, Resulting Numbers: [74, 28] Generated Node #3: [74, 28] from Operation: 32-4=28 Current State: 46:[74, 28], Operations: ['97-23=74', '32-4=28'] Exploring Operation: 74-28=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 78, 85, 19, 8 ]
96
[ "85-78=7", "19-7=12", "8*12=96" ]
Current State: 96:[78, 85, 19, 8], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [19, 8, 7] Generated Node #2: [19, 8, 7] from Operation: 85-78=7 Current State: 96:[19, 8, 7], Operations: ['85-78=7'] Exploring Operation: 19-7=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 19-7=12 Current State: 96:[8, 12], Operations: ['85-78=7', '19-7=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 12, 83, 77 ]
58
[ "52+12=64", "83-77=6", "64-6=58" ]
Current State: 58:[52, 12, 83, 77], Operations: [] Exploring Operation: 52+12=64, Resulting Numbers: [83, 77, 64] Generated Node #2: [83, 77, 64] from Operation: 52+12=64 Current State: 58:[83, 77, 64], Operations: ['52+12=64'] Exploring Operation: 83-77=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 83-77=6 Current State: 58:[64, 6], Operations: ['52+12=64', '83-77=6'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 69, 27, 24 ]
81
[ "27-25=2", "24/2=12", "69+12=81" ]
Current State: 81:[25, 69, 27, 24], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [69, 24, 2] Generated Node #2: [69, 24, 2] from Operation: 27-25=2 Current State: 81:[69, 24, 2], Operations: ['27-25=2'] Exploring Operation: 24/2=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 24/2=12 Current State: 81:[69, 12], Operations: ['27-25=2', '24/2=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 37, 92, 28 ]
59
[ "37-32=5", "92-28=64", "64-5=59" ]
Current State: 59:[32, 37, 92, 28], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [92, 28, 5] Generated Node #2: [92, 28, 5] from Operation: 37-32=5 Current State: 59:[92, 28, 5], Operations: ['37-32=5'] Exploring Operation: 92-28=64, Resulting Numbers: [5, 64] Generated Node #3: [5, 64] from Operation: 92-28=64 Current State: 59:[5, 64], Operations: ['37-32=5', '92-28=64'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 99, 57, 91, 13 ]
79
[ "99+57=156", "156/13=12", "91-12=79" ]
Current State: 79:[99, 57, 91, 13], Operations: [] Exploring Operation: 99+57=156, Resulting Numbers: [91, 13, 156] Generated Node #2: [91, 13, 156] from Operation: 99+57=156 Current State: 79:[91, 13, 156], Operations: ['99+57=156'] Exploring Operation: 156/13=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 156/13=12 Current State: 79:[91, 12], Operations: ['99+57=156', '156/13=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 19, 17, 76 ]
48
[ "19-17=2", "76/2=38", "86-38=48" ]
Current State: 48:[86, 19, 17, 76], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [86, 76, 2] Generated Node #2: [86, 76, 2] from Operation: 19-17=2 Current State: 48:[86, 76, 2], Operations: ['19-17=2'] Exploring Operation: 76/2=38, Resulting Numbers: [86, 38] Generated Node #3: [86, 38] from Operation: 76/2=38 Current State: 48:[86, 38], Operations: ['19-17=2', '76/2=38'] Exploring Operation: 86-38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 87, 73, 9, 37 ]
89
[ "87-73=14", "9*14=126", "126-37=89" ]
Current State: 89:[87, 73, 9, 37], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [9, 37, 14] Generated Node #2: [9, 37, 14] from Operation: 87-73=14 Current State: 89:[9, 37, 14], Operations: ['87-73=14'] Exploring Operation: 9*14=126, Resulting Numbers: [37, 126] Generated Node #3: [37, 126] from Operation: 9*14=126 Current State: 89:[37, 126], Operations: ['87-73=14', '9*14=126'] Exploring Operation: 126-37=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 4, 40, 14 ]
56
[ "40-39=1", "4*14=56", "1*56=56" ]
Current State: 56:[39, 4, 40, 14], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [4, 14, 1] Generated Node #2: [4, 14, 1] from Operation: 40-39=1 Current State: 56:[4, 14, 1], Operations: ['40-39=1'] Exploring Operation: 4*14=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 4*14=56 Current State: 56:[1, 56], Operations: ['40-39=1', '4*14=56'] Exploring Operation: 1*56=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 61, 8, 34 ]
72
[ "53+61=114", "8+34=42", "114-42=72" ]
Current State: 72:[53, 61, 8, 34], Operations: [] Exploring Operation: 53+61=114, Resulting Numbers: [8, 34, 114] Generated Node #2: [8, 34, 114] from Operation: 53+61=114 Current State: 72:[8, 34, 114], Operations: ['53+61=114'] Exploring Operation: 8+34=42, Resulting Numbers: [114, 42] Generated Node #3: [114, 42] from Operation: 8+34=42 Current State: 72:[114, 42], Operations: ['53+61=114', '8+34=42'] Exploring Operation: 114-42=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 64, 45, 72 ]
80
[ "64-27=37", "45+72=117", "117-37=80" ]
Current State: 80:[27, 64, 45, 72], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [45, 72, 37] Generated Node #2: [45, 72, 37] from Operation: 64-27=37 Current State: 80:[45, 72, 37], Operations: ['64-27=37'] Exploring Operation: 45+72=117, Resulting Numbers: [37, 117] Generated Node #3: [37, 117] from Operation: 45+72=117 Current State: 80:[37, 117], Operations: ['64-27=37', '45+72=117'] Exploring Operation: 117-37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 34, 90, 62, 6 ]
52
[ "34*6=204", "90+62=152", "204-152=52" ]
Current State: 52:[34, 90, 62, 6], Operations: [] Exploring Operation: 34*6=204, Resulting Numbers: [90, 62, 204] Generated Node #2: [90, 62, 204] from Operation: 34*6=204 Current State: 52:[90, 62, 204], Operations: ['34*6=204'] Exploring Operation: 90+62=152, Resulting Numbers: [204, 152] Generated Node #3: [204, 152] from Operation: 90+62=152 Current State: 52:[204, 152], Operations: ['34*6=204', '90+62=152'] Exploring Operation: 204-152=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 62, 69, 87, 28 ]
83
[ "69-62=7", "28/7=4", "87-4=83" ]
Current State: 83:[62, 69, 87, 28], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [87, 28, 7] Generated Node #2: [87, 28, 7] from Operation: 69-62=7 Current State: 83:[87, 28, 7], Operations: ['69-62=7'] Exploring Operation: 28/7=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 28/7=4 Current State: 83:[87, 4], Operations: ['69-62=7', '28/7=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 74, 69, 78, 88 ]
62
[ "69*78=5382", "74+5382=5456", "5456/88=62" ]
Current State: 62:[74, 69, 78, 88], Operations: [] Exploring Operation: 69*78=5382, Resulting Numbers: [74, 88, 5382] Generated Node #2: [74, 88, 5382] from Operation: 69*78=5382 Current State: 62:[74, 88, 5382], Operations: ['69*78=5382'] Exploring Operation: 74+5382=5456, Resulting Numbers: [88, 5456] Generated Node #3: [88, 5456] from Operation: 74+5382=5456 Current State: 62:[88, 5456], Operations: ['69*78=5382', '74+5382=5456'] Exploring Operation: 5456/88=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 6, 60, 87 ]
51
[ "87-6=81", "81/9=9", "60-9=51" ]
Current State: 51:[9, 6, 60, 87], Operations: [] Exploring Operation: 87-6=81, Resulting Numbers: [9, 60, 81] Generated Node #2: [9, 60, 81] from Operation: 87-6=81 Current State: 51:[9, 60, 81], Operations: ['87-6=81'] Exploring Operation: 81/9=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 81/9=9 Current State: 51:[60, 9], Operations: ['87-6=81', '81/9=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 82, 70, 24, 93 ]
82
[ "70+24=94", "94-93=1", "82*1=82" ]
Current State: 82:[82, 70, 24, 93], Operations: [] Exploring Operation: 70+24=94, Resulting Numbers: [82, 93, 94] Generated Node #2: [82, 93, 94] from Operation: 70+24=94 Current State: 82:[82, 93, 94], Operations: ['70+24=94'] Exploring Operation: 94-93=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 94-93=1 Current State: 82:[82, 1], Operations: ['70+24=94', '94-93=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 69, 85, 13, 64 ]
17
[ "85-69=16", "64/16=4", "13+4=17" ]
Current State: 17:[69, 85, 13, 64], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [13, 64, 16] Generated Node #2: [13, 64, 16] from Operation: 85-69=16 Current State: 17:[13, 64, 16], Operations: ['85-69=16'] Exploring Operation: 64/16=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 64/16=4 Current State: 17:[13, 4], Operations: ['85-69=16', '64/16=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 76, 2, 75, 6 ]
68
[ "76+6=82", "2*75=150", "150-82=68" ]
Current State: 68:[76, 2, 75, 6], Operations: [] Exploring Operation: 76+6=82, Resulting Numbers: [2, 75, 82] Generated Node #2: [2, 75, 82] from Operation: 76+6=82 Current State: 68:[2, 75, 82], Operations: ['76+6=82'] Exploring Operation: 2*75=150, Resulting Numbers: [82, 150] Generated Node #3: [82, 150] from Operation: 2*75=150 Current State: 68:[82, 150], Operations: ['76+6=82', '2*75=150'] Exploring Operation: 150-82=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 14, 22, 4, 78 ]
45
[ "14+78=92", "92/4=23", "22+23=45" ]
Current State: 45:[14, 22, 4, 78], Operations: [] Exploring Operation: 14+78=92, Resulting Numbers: [22, 4, 92] Generated Node #2: [22, 4, 92] from Operation: 14+78=92 Current State: 45:[22, 4, 92], Operations: ['14+78=92'] Exploring Operation: 92/4=23, Resulting Numbers: [22, 23] Generated Node #3: [22, 23] from Operation: 92/4=23 Current State: 45:[22, 23], Operations: ['14+78=92', '92/4=23'] Exploring Operation: 22+23=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 26, 1, 1 ]
42
[ "18+26=44", "1+1=2", "44-2=42" ]
Current State: 42:[18, 26, 1, 1], Operations: [] Exploring Operation: 18+26=44, Resulting Numbers: [1, 1, 44] Generated Node #2: [1, 1, 44] from Operation: 18+26=44 Current State: 42:[1, 1, 44], Operations: ['18+26=44'] Exploring Operation: 1+1=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 1+1=2 Current State: 42:[44, 2], Operations: ['18+26=44', '1+1=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 63, 33, 89 ]
11
[ "63+33=96", "96-89=7", "77/7=11" ]
Current State: 11:[77, 63, 33, 89], Operations: [] Exploring Operation: 63+33=96, Resulting Numbers: [77, 89, 96] Generated Node #2: [77, 89, 96] from Operation: 63+33=96 Current State: 11:[77, 89, 96], Operations: ['63+33=96'] Exploring Operation: 96-89=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 96-89=7 Current State: 11:[77, 7], Operations: ['63+33=96', '96-89=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 79, 9, 14 ]
33
[ "9+14=23", "2*23=46", "79-46=33" ]
Current State: 33:[2, 79, 9, 14], Operations: [] Exploring Operation: 9+14=23, Resulting Numbers: [2, 79, 23] Generated Node #2: [2, 79, 23] from Operation: 9+14=23 Current State: 33:[2, 79, 23], Operations: ['9+14=23'] Exploring Operation: 2*23=46, Resulting Numbers: [79, 46] Generated Node #3: [79, 46] from Operation: 2*23=46 Current State: 33:[79, 46], Operations: ['9+14=23', '2*23=46'] Exploring Operation: 79-46=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 70, 19, 91 ]
88
[ "70-19=51", "51/17=3", "91-3=88" ]
Current State: 88:[17, 70, 19, 91], Operations: [] Exploring Operation: 70-19=51, Resulting Numbers: [17, 91, 51] Generated Node #2: [17, 91, 51] from Operation: 70-19=51 Current State: 88:[17, 91, 51], Operations: ['70-19=51'] Exploring Operation: 51/17=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 51/17=3 Current State: 88:[91, 3], Operations: ['70-19=51', '51/17=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 47, 46, 9, 9 ]
94
[ "47+46=93", "9/9=1", "93+1=94" ]
Current State: 94:[47, 46, 9, 9], Operations: [] Exploring Operation: 47+46=93, Resulting Numbers: [9, 9, 93] Generated Node #2: [9, 9, 93] from Operation: 47+46=93 Current State: 94:[9, 9, 93], Operations: ['47+46=93'] Exploring Operation: 9/9=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 9/9=1 Current State: 94:[93, 1], Operations: ['47+46=93', '9/9=1'] Exploring Operation: 93+1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 17, 56, 7 ]
32
[ "15*7=105", "17+56=73", "105-73=32" ]
Current State: 32:[15, 17, 56, 7], Operations: [] Exploring Operation: 15*7=105, Resulting Numbers: [17, 56, 105] Generated Node #2: [17, 56, 105] from Operation: 15*7=105 Current State: 32:[17, 56, 105], Operations: ['15*7=105'] Exploring Operation: 17+56=73, Resulting Numbers: [105, 73] Generated Node #3: [105, 73] from Operation: 17+56=73 Current State: 32:[105, 73], Operations: ['15*7=105', '17+56=73'] Exploring Operation: 105-73=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 60, 47, 56 ]
58
[ "7+60=67", "56-47=9", "67-9=58" ]
Current State: 58:[7, 60, 47, 56], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [47, 56, 67] Generated Node #2: [47, 56, 67] from Operation: 7+60=67 Current State: 58:[47, 56, 67], Operations: ['7+60=67'] Exploring Operation: 56-47=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 56-47=9 Current State: 58:[67, 9], Operations: ['7+60=67', '56-47=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 7, 9, 31 ]
22
[ "7-6=1", "31-9=22", "1*22=22" ]
Current State: 22:[6, 7, 9, 31], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [9, 31, 1] Generated Node #2: [9, 31, 1] from Operation: 7-6=1 Current State: 22:[9, 31, 1], Operations: ['7-6=1'] Exploring Operation: 31-9=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 31-9=22 Current State: 22:[1, 22], Operations: ['7-6=1', '31-9=22'] Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 84, 18, 96, 90 ]
19
[ "90-84=6", "18+96=114", "114/6=19" ]
Current State: 19:[84, 18, 96, 90], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [18, 96, 6] Generated Node #2: [18, 96, 6] from Operation: 90-84=6 Current State: 19:[18, 96, 6], Operations: ['90-84=6'] Exploring Operation: 18+96=114, Resulting Numbers: [6, 114] Generated Node #3: [6, 114] from Operation: 18+96=114 Current State: 19:[6, 114], Operations: ['90-84=6', '18+96=114'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 25, 36, 28, 56 ]
95
[ "36-25=11", "28+56=84", "11+84=95" ]
Current State: 95:[25, 36, 28, 56], Operations: [] Exploring Operation: 36-25=11, Resulting Numbers: [28, 56, 11] Generated Node #2: [28, 56, 11] from Operation: 36-25=11 Current State: 95:[28, 56, 11], Operations: ['36-25=11'] Exploring Operation: 28+56=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 28+56=84 Current State: 95:[11, 84], Operations: ['36-25=11', '28+56=84'] Exploring Operation: 11+84=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 16, 16, 14 ]
25
[ "14/2=7", "16+16=32", "32-7=25" ]
Current State: 25:[2, 16, 16, 14], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [16, 16, 7] Generated Node #2: [16, 16, 7] from Operation: 14/2=7 Current State: 25:[16, 16, 7], Operations: ['14/2=7'] Exploring Operation: 16+16=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 16+16=32 Current State: 25:[7, 32], Operations: ['14/2=7', '16+16=32'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 43, 12, 52, 4 ]
47
[ "43+52=95", "12*4=48", "95-48=47" ]
Current State: 47:[43, 12, 52, 4], Operations: [] Exploring Operation: 43+52=95, Resulting Numbers: [12, 4, 95] Generated Node #2: [12, 4, 95] from Operation: 43+52=95 Current State: 47:[12, 4, 95], Operations: ['43+52=95'] Exploring Operation: 12*4=48, Resulting Numbers: [95, 48] Generated Node #3: [95, 48] from Operation: 12*4=48 Current State: 47:[95, 48], Operations: ['43+52=95', '12*4=48'] Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 29, 30, 9 ]
24
[ "31-29=2", "30/2=15", "9+15=24" ]
Current State: 24:[31, 29, 30, 9], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [30, 9, 2] Generated Node #2: [30, 9, 2] from Operation: 31-29=2 Current State: 24:[30, 9, 2], Operations: ['31-29=2'] Exploring Operation: 30/2=15, Resulting Numbers: [9, 15] Generated Node #3: [9, 15] from Operation: 30/2=15 Current State: 24:[9, 15], Operations: ['31-29=2', '30/2=15'] Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 37, 61, 77, 20 ]
59
[ "77-37=40", "40/20=2", "61-2=59" ]
Current State: 59:[37, 61, 77, 20], Operations: [] Exploring Operation: 77-37=40, Resulting Numbers: [61, 20, 40] Generated Node #2: [61, 20, 40] from Operation: 77-37=40 Current State: 59:[61, 20, 40], Operations: ['77-37=40'] Exploring Operation: 40/20=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 40/20=2 Current State: 59:[61, 2], Operations: ['77-37=40', '40/20=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 98, 88, 57 ]
34
[ "60*57=3420", "3420-88=3332", "3332/98=34" ]
Current State: 34:[60, 98, 88, 57], Operations: [] Exploring Operation: 60*57=3420, Resulting Numbers: [98, 88, 3420] Generated Node #2: [98, 88, 3420] from Operation: 60*57=3420 Current State: 34:[98, 88, 3420], Operations: ['60*57=3420'] Exploring Operation: 3420-88=3332, Resulting Numbers: [98, 3332] Generated Node #3: [98, 3332] from Operation: 3420-88=3332 Current State: 34:[98, 3332], Operations: ['60*57=3420', '3420-88=3332'] Exploring Operation: 3332/98=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 85, 14, 81 ]
63
[ "77*81=6237", "85+14=99", "6237/99=63" ]
Current State: 63:[77, 85, 14, 81], Operations: [] Exploring Operation: 77*81=6237, Resulting Numbers: [85, 14, 6237] Generated Node #2: [85, 14, 6237] from Operation: 77*81=6237 Current State: 63:[85, 14, 6237], Operations: ['77*81=6237'] Exploring Operation: 85+14=99, Resulting Numbers: [6237, 99] Generated Node #3: [6237, 99] from Operation: 85+14=99 Current State: 63:[6237, 99], Operations: ['77*81=6237', '85+14=99'] Exploring Operation: 6237/99=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 82, 88, 41 ]
56
[ "88-30=58", "82/41=2", "58-2=56" ]
Current State: 56:[30, 82, 88, 41], Operations: [] Exploring Operation: 88-30=58, Resulting Numbers: [82, 41, 58] Generated Node #2: [82, 41, 58] from Operation: 88-30=58 Current State: 56:[82, 41, 58], Operations: ['88-30=58'] Exploring Operation: 82/41=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 82/41=2 Current State: 56:[58, 2], Operations: ['88-30=58', '82/41=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 26, 33, 22, 30 ]
71
[ "33*30=990", "990/22=45", "26+45=71" ]
Current State: 71:[26, 33, 22, 30], Operations: [] Exploring Operation: 33*30=990, Resulting Numbers: [26, 22, 990] Generated Node #2: [26, 22, 990] from Operation: 33*30=990 Current State: 71:[26, 22, 990], Operations: ['33*30=990'] Exploring Operation: 990/22=45, Resulting Numbers: [26, 45] Generated Node #3: [26, 45] from Operation: 990/22=45 Current State: 71:[26, 45], Operations: ['33*30=990', '990/22=45'] Exploring Operation: 26+45=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 79, 84, 82, 14 ]
73
[ "84-79=5", "82-14=68", "5+68=73" ]
Current State: 73:[79, 84, 82, 14], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [82, 14, 5] Generated Node #2: [82, 14, 5] from Operation: 84-79=5 Current State: 73:[82, 14, 5], Operations: ['84-79=5'] Exploring Operation: 82-14=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 82-14=68 Current State: 73:[5, 68], Operations: ['84-79=5', '82-14=68'] Exploring Operation: 5+68=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 1, 90, 45 ]
84
[ "87-1=86", "90/45=2", "86-2=84" ]
Current State: 84:[87, 1, 90, 45], Operations: [] Exploring Operation: 87-1=86, Resulting Numbers: [90, 45, 86] Generated Node #2: [90, 45, 86] from Operation: 87-1=86 Current State: 84:[90, 45, 86], Operations: ['87-1=86'] Exploring Operation: 90/45=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 90/45=2 Current State: 84:[86, 2], Operations: ['87-1=86', '90/45=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 69, 66, 54, 44 ]
95
[ "69-66=3", "54+44=98", "98-3=95" ]
Current State: 95:[69, 66, 54, 44], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [54, 44, 3] Generated Node #2: [54, 44, 3] from Operation: 69-66=3 Current State: 95:[54, 44, 3], Operations: ['69-66=3'] Exploring Operation: 54+44=98, Resulting Numbers: [3, 98] Generated Node #3: [3, 98] from Operation: 54+44=98 Current State: 95:[3, 98], Operations: ['69-66=3', '54+44=98'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 69, 6, 10 ]
39
[ "69-34=35", "10-6=4", "35+4=39" ]
Current State: 39:[34, 69, 6, 10], Operations: [] Exploring Operation: 69-34=35, Resulting Numbers: [6, 10, 35] Generated Node #2: [6, 10, 35] from Operation: 69-34=35 Current State: 39:[6, 10, 35], Operations: ['69-34=35'] Exploring Operation: 10-6=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 10-6=4 Current State: 39:[35, 4], Operations: ['69-34=35', '10-6=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 17, 90, 5 ]
69
[ "90-74=16", "17*5=85", "85-16=69" ]
Current State: 69:[74, 17, 90, 5], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [17, 5, 16] Generated Node #2: [17, 5, 16] from Operation: 90-74=16 Current State: 69:[17, 5, 16], Operations: ['90-74=16'] Exploring Operation: 17*5=85, Resulting Numbers: [16, 85] Generated Node #3: [16, 85] from Operation: 17*5=85 Current State: 69:[16, 85], Operations: ['90-74=16', '17*5=85'] Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 85, 75, 53 ]
92
[ "85-49=36", "75+53=128", "128-36=92" ]
Current State: 92:[49, 85, 75, 53], Operations: [] Exploring Operation: 85-49=36, Resulting Numbers: [75, 53, 36] Generated Node #2: [75, 53, 36] from Operation: 85-49=36 Current State: 92:[75, 53, 36], Operations: ['85-49=36'] Exploring Operation: 75+53=128, Resulting Numbers: [36, 128] Generated Node #3: [36, 128] from Operation: 75+53=128 Current State: 92:[36, 128], Operations: ['85-49=36', '75+53=128'] Exploring Operation: 128-36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 81, 40, 96 ]
37
[ "81-49=32", "96/32=3", "40-3=37" ]
Current State: 37:[49, 81, 40, 96], Operations: [] Exploring Operation: 81-49=32, Resulting Numbers: [40, 96, 32] Generated Node #2: [40, 96, 32] from Operation: 81-49=32 Current State: 37:[40, 96, 32], Operations: ['81-49=32'] Exploring Operation: 96/32=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 96/32=3 Current State: 37:[40, 3], Operations: ['81-49=32', '96/32=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 15, 88, 6, 66 ]
12
[ "15-6=9", "88*9=792", "792/66=12" ]
Current State: 12:[15, 88, 6, 66], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [88, 66, 9] Generated Node #2: [88, 66, 9] from Operation: 15-6=9 Current State: 12:[88, 66, 9], Operations: ['15-6=9'] Exploring Operation: 88*9=792, Resulting Numbers: [66, 792] Generated Node #3: [66, 792] from Operation: 88*9=792 Current State: 12:[66, 792], Operations: ['15-6=9', '88*9=792'] Exploring Operation: 792/66=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 76, 27, 45, 7 ]
25
[ "45-7=38", "76/38=2", "27-2=25" ]
Current State: 25:[76, 27, 45, 7], Operations: [] Exploring Operation: 45-7=38, Resulting Numbers: [76, 27, 38] Generated Node #2: [76, 27, 38] from Operation: 45-7=38 Current State: 25:[76, 27, 38], Operations: ['45-7=38'] Exploring Operation: 76/38=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 76/38=2 Current State: 25:[27, 2], Operations: ['45-7=38', '76/38=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 47, 43, 29, 41 ]
78
[ "47+43=90", "41-29=12", "90-12=78" ]
Current State: 78:[47, 43, 29, 41], Operations: [] Exploring Operation: 47+43=90, Resulting Numbers: [29, 41, 90] Generated Node #2: [29, 41, 90] from Operation: 47+43=90 Current State: 78:[29, 41, 90], Operations: ['47+43=90'] Exploring Operation: 41-29=12, Resulting Numbers: [90, 12] Generated Node #3: [90, 12] from Operation: 41-29=12 Current State: 78:[90, 12], Operations: ['47+43=90', '41-29=12'] Exploring Operation: 90-12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 91, 94, 11, 54 ]
29
[ "94-91=3", "54/3=18", "11+18=29" ]
Current State: 29:[91, 94, 11, 54], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [11, 54, 3] Generated Node #2: [11, 54, 3] from Operation: 94-91=3 Current State: 29:[11, 54, 3], Operations: ['94-91=3'] Exploring Operation: 54/3=18, Resulting Numbers: [11, 18] Generated Node #3: [11, 18] from Operation: 54/3=18 Current State: 29:[11, 18], Operations: ['94-91=3', '54/3=18'] Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 24, 72, 69, 67 ]
44
[ "72/24=3", "69/3=23", "67-23=44" ]
Current State: 44:[24, 72, 69, 67], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [69, 67, 3] Generated Node #2: [69, 67, 3] from Operation: 72/24=3 Current State: 44:[69, 67, 3], Operations: ['72/24=3'] Exploring Operation: 69/3=23, Resulting Numbers: [67, 23] Generated Node #3: [67, 23] from Operation: 69/3=23 Current State: 44:[67, 23], Operations: ['72/24=3', '69/3=23'] Exploring Operation: 67-23=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 21, 39, 40, 19 ]
99
[ "21*40=840", "39*19=741", "840-741=99" ]
Current State: 99:[21, 39, 40, 19], Operations: [] Exploring Operation: 21*40=840, Resulting Numbers: [39, 19, 840] Generated Node #2: [39, 19, 840] from Operation: 21*40=840 Current State: 99:[39, 19, 840], Operations: ['21*40=840'] Exploring Operation: 39*19=741, Resulting Numbers: [840, 741] Generated Node #3: [840, 741] from Operation: 39*19=741 Current State: 99:[840, 741], Operations: ['21*40=840', '39*19=741'] Exploring Operation: 840-741=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 72, 78, 60 ]
55
[ "78-60=18", "72/18=4", "59-4=55" ]
Current State: 55:[59, 72, 78, 60], Operations: [] Exploring Operation: 78-60=18, Resulting Numbers: [59, 72, 18] Generated Node #2: [59, 72, 18] from Operation: 78-60=18 Current State: 55:[59, 72, 18], Operations: ['78-60=18'] Exploring Operation: 72/18=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 72/18=4 Current State: 55:[59, 4], Operations: ['78-60=18', '72/18=4'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 55, 42, 42 ]
29
[ "55-26=29", "42-42=0", "29+0=29" ]
Current State: 29:[26, 55, 42, 42], Operations: [] Exploring Operation: 55-26=29, Resulting Numbers: [42, 42, 29] Generated Node #2: [42, 42, 29] from Operation: 55-26=29 Current State: 29:[42, 42, 29], Operations: ['55-26=29'] Exploring Operation: 42-42=0, Resulting Numbers: [29, 0] Generated Node #3: [29, 0] from Operation: 42-42=0 Current State: 29:[29, 0], Operations: ['55-26=29', '42-42=0'] Exploring Operation: 29+0=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 58, 56, 8, 44 ]
34
[ "58-56=2", "44-8=36", "36-2=34" ]
Current State: 34:[58, 56, 8, 44], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [8, 44, 2] Generated Node #2: [8, 44, 2] from Operation: 58-56=2 Current State: 34:[8, 44, 2], Operations: ['58-56=2'] Exploring Operation: 44-8=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 44-8=36 Current State: 34:[2, 36], Operations: ['58-56=2', '44-8=36'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 89, 90, 95 ]
91
[ "95-90=5", "10/5=2", "89+2=91" ]
Current State: 91:[10, 89, 90, 95], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [10, 89, 5] Generated Node #2: [10, 89, 5] from Operation: 95-90=5 Current State: 91:[10, 89, 5], Operations: ['95-90=5'] Exploring Operation: 10/5=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 10/5=2 Current State: 91:[89, 2], Operations: ['95-90=5', '10/5=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 21, 88, 63, 88 ]
42
[ "21+88=109", "63+88=151", "151-109=42" ]
Current State: 42:[21, 88, 63, 88], Operations: [] Exploring Operation: 21+88=109, Resulting Numbers: [63, 109] Generated Node #2: [63, 109] from Operation: 21+88=109 Current State: 42:[63, 109], Operations: ['21+88=109'] Exploring Operation: 63+88=151, Resulting Numbers: [109, 151] Generated Node #3: [109, 151] from Operation: 63+88=151 Current State: 42:[109, 151], Operations: ['21+88=109', '63+88=151'] Exploring Operation: 151-109=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 33, 65, 86 ]
53
[ "41+33=74", "86-65=21", "74-21=53" ]
Current State: 53:[41, 33, 65, 86], Operations: [] Exploring Operation: 41+33=74, Resulting Numbers: [65, 86, 74] Generated Node #2: [65, 86, 74] from Operation: 41+33=74 Current State: 53:[65, 86, 74], Operations: ['41+33=74'] Exploring Operation: 86-65=21, Resulting Numbers: [74, 21] Generated Node #3: [74, 21] from Operation: 86-65=21 Current State: 53:[74, 21], Operations: ['41+33=74', '86-65=21'] Exploring Operation: 74-21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 67, 2, 17, 89 ]
47
[ "67+17=84", "84/2=42", "89-42=47" ]
Current State: 47:[67, 2, 17, 89], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [2, 89, 84] Generated Node #2: [2, 89, 84] from Operation: 67+17=84 Current State: 47:[2, 89, 84], Operations: ['67+17=84'] Exploring Operation: 84/2=42, Resulting Numbers: [89, 42] Generated Node #3: [89, 42] from Operation: 84/2=42 Current State: 47:[89, 42], Operations: ['67+17=84', '84/2=42'] Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 6, 91, 9, 89 ]
36
[ "91-6=85", "89-85=4", "9*4=36" ]
Current State: 36:[6, 91, 9, 89], Operations: [] Exploring Operation: 91-6=85, Resulting Numbers: [9, 89, 85] Generated Node #2: [9, 89, 85] from Operation: 91-6=85 Current State: 36:[9, 89, 85], Operations: ['91-6=85'] Exploring Operation: 89-85=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 89-85=4 Current State: 36:[9, 4], Operations: ['91-6=85', '89-85=4'] Exploring Operation: 9*4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 22, 17, 3 ]
83
[ "18+17=35", "3*35=105", "105-22=83" ]
Current State: 83:[18, 22, 17, 3], Operations: [] Exploring Operation: 18+17=35, Resulting Numbers: [22, 3, 35] Generated Node #2: [22, 3, 35] from Operation: 18+17=35 Current State: 83:[22, 3, 35], Operations: ['18+17=35'] Exploring Operation: 3*35=105, Resulting Numbers: [22, 105] Generated Node #3: [22, 105] from Operation: 3*35=105 Current State: 83:[22, 105], Operations: ['18+17=35', '3*35=105'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 33, 14, 80, 89 ]
76
[ "89-33=56", "56/14=4", "80-4=76" ]
Current State: 76:[33, 14, 80, 89], Operations: [] Exploring Operation: 89-33=56, Resulting Numbers: [14, 80, 56] Generated Node #2: [14, 80, 56] from Operation: 89-33=56 Current State: 76:[14, 80, 56], Operations: ['89-33=56'] Exploring Operation: 56/14=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 56/14=4 Current State: 76:[80, 4], Operations: ['89-33=56', '56/14=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 49, 51, 95 ]
96
[ "95-47=48", "51-49=2", "48*2=96" ]
Current State: 96:[47, 49, 51, 95], Operations: [] Exploring Operation: 95-47=48, Resulting Numbers: [49, 51, 48] Generated Node #2: [49, 51, 48] from Operation: 95-47=48 Current State: 96:[49, 51, 48], Operations: ['95-47=48'] Exploring Operation: 51-49=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 51-49=2 Current State: 96:[48, 2], Operations: ['95-47=48', '51-49=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 68, 81, 9, 98 ]
36
[ "68*9=612", "98-81=17", "612/17=36" ]
Current State: 36:[68, 81, 9, 98], Operations: [] Exploring Operation: 68*9=612, Resulting Numbers: [81, 98, 612] Generated Node #2: [81, 98, 612] from Operation: 68*9=612 Current State: 36:[81, 98, 612], Operations: ['68*9=612'] Exploring Operation: 98-81=17, Resulting Numbers: [612, 17] Generated Node #3: [612, 17] from Operation: 98-81=17 Current State: 36:[612, 17], Operations: ['68*9=612', '98-81=17'] Exploring Operation: 612/17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 36, 34, 20, 46 ]
40
[ "34+46=80", "80/20=4", "36+4=40" ]
Current State: 40:[36, 34, 20, 46], Operations: [] Exploring Operation: 34+46=80, Resulting Numbers: [36, 20, 80] Generated Node #2: [36, 20, 80] from Operation: 34+46=80 Current State: 40:[36, 20, 80], Operations: ['34+46=80'] Exploring Operation: 80/20=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 80/20=4 Current State: 40:[36, 4], Operations: ['34+46=80', '80/20=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 82, 59, 83, 40 ]
100
[ "82-59=23", "83+40=123", "123-23=100" ]
Current State: 100:[82, 59, 83, 40], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [83, 40, 23] Generated Node #2: [83, 40, 23] from Operation: 82-59=23 Current State: 100:[83, 40, 23], Operations: ['82-59=23'] Exploring Operation: 83+40=123, Resulting Numbers: [23, 123] Generated Node #3: [23, 123] from Operation: 83+40=123 Current State: 100:[23, 123], Operations: ['82-59=23', '83+40=123'] Exploring Operation: 123-23=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 52, 88, 66, 92 ]
90
[ "92-66=26", "52/26=2", "88+2=90" ]
Current State: 90:[52, 88, 66, 92], Operations: [] Exploring Operation: 92-66=26, Resulting Numbers: [52, 88, 26] Generated Node #2: [52, 88, 26] from Operation: 92-66=26 Current State: 90:[52, 88, 26], Operations: ['92-66=26'] Exploring Operation: 52/26=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 52/26=2 Current State: 90:[88, 2], Operations: ['92-66=26', '52/26=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 9, 74, 88 ]
72
[ "74+88=162", "162/2=81", "81-9=72" ]
Current State: 72:[2, 9, 74, 88], Operations: [] Exploring Operation: 74+88=162, Resulting Numbers: [2, 9, 162] Generated Node #2: [2, 9, 162] from Operation: 74+88=162 Current State: 72:[2, 9, 162], Operations: ['74+88=162'] Exploring Operation: 162/2=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 162/2=81 Current State: 72:[9, 81], Operations: ['74+88=162', '162/2=81'] Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 10, 51, 70 ]
52
[ "81-10=71", "70-51=19", "71-19=52" ]
Current State: 52:[81, 10, 51, 70], Operations: [] Exploring Operation: 81-10=71, Resulting Numbers: [51, 70, 71] Generated Node #2: [51, 70, 71] from Operation: 81-10=71 Current State: 52:[51, 70, 71], Operations: ['81-10=71'] Exploring Operation: 70-51=19, Resulting Numbers: [71, 19] Generated Node #3: [71, 19] from Operation: 70-51=19 Current State: 52:[71, 19], Operations: ['81-10=71', '70-51=19'] Exploring Operation: 71-19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 49, 22, 19 ]
65
[ "22-19=3", "38*3=114", "114-49=65" ]
Current State: 65:[38, 49, 22, 19], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [38, 49, 3] Generated Node #2: [38, 49, 3] from Operation: 22-19=3 Current State: 65:[38, 49, 3], Operations: ['22-19=3'] Exploring Operation: 38*3=114, Resulting Numbers: [49, 114] Generated Node #3: [49, 114] from Operation: 38*3=114 Current State: 65:[49, 114], Operations: ['22-19=3', '38*3=114'] Exploring Operation: 114-49=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 78, 4, 54 ]
16
[ "10*4=40", "78-54=24", "40-24=16" ]
Current State: 16:[10, 78, 4, 54], Operations: [] Exploring Operation: 10*4=40, Resulting Numbers: [78, 54, 40] Generated Node #2: [78, 54, 40] from Operation: 10*4=40 Current State: 16:[78, 54, 40], Operations: ['10*4=40'] Exploring Operation: 78-54=24, Resulting Numbers: [40, 24] Generated Node #3: [40, 24] from Operation: 78-54=24 Current State: 16:[40, 24], Operations: ['10*4=40', '78-54=24'] Exploring Operation: 40-24=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 72, 12, 4 ]
34
[ "44-4=40", "72/12=6", "40-6=34" ]
Current State: 34:[44, 72, 12, 4], Operations: [] Exploring Operation: 44-4=40, Resulting Numbers: [72, 12, 40] Generated Node #2: [72, 12, 40] from Operation: 44-4=40 Current State: 34:[72, 12, 40], Operations: ['44-4=40'] Exploring Operation: 72/12=6, Resulting Numbers: [40, 6] Generated Node #3: [40, 6] from Operation: 72/12=6 Current State: 34:[40, 6], Operations: ['44-4=40', '72/12=6'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 77, 55, 21, 93 ]
93
[ "77-55=22", "22-21=1", "93*1=93" ]
Current State: 93:[77, 55, 21, 93], Operations: [] Exploring Operation: 77-55=22, Resulting Numbers: [21, 93, 22] Generated Node #2: [21, 93, 22] from Operation: 77-55=22 Current State: 93:[21, 93, 22], Operations: ['77-55=22'] Exploring Operation: 22-21=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 22-21=1 Current State: 93:[93, 1], Operations: ['77-55=22', '22-21=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4