nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 67, 68, 90, 92 ]
17
[ "90-67=23", "68*23=1564", "1564/92=17" ]
Current State: 17:[67, 68, 90, 92], Operations: [] Exploring Operation: 90-67=23, Resulting Numbers: [68, 92, 23] Generated Node #2: [68, 92, 23] from Operation: 90-67=23 Current State: 17:[68, 92, 23], Operations: ['90-67=23'] Exploring Operation: 68*23=1564, Resulting Numbers: [92, 1564] Generated Node #3: [92, 1564] from Operation: 68*23=1564 Current State: 17:[92, 1564], Operations: ['90-67=23', '68*23=1564'] Exploring Operation: 1564/92=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 50, 81, 99 ]
41
[ "50-27=23", "99-81=18", "23+18=41" ]
Current State: 41:[27, 50, 81, 99], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [81, 99, 23] Generated Node #2: [81, 99, 23] from Operation: 50-27=23 Current State: 41:[81, 99, 23], Operations: ['50-27=23'] Exploring Operation: 99-81=18, Resulting Numbers: [23, 18] Generated Node #3: [23, 18] from Operation: 99-81=18 Current State: 41:[23, 18], Operations: ['50-27=23', '99-81=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 56, 54, 43 ]
28
[ "69+56=125", "54+43=97", "125-97=28" ]
Current State: 28:[69, 56, 54, 43], Operations: [] Exploring Operation: 69+56=125, Resulting Numbers: [54, 43, 125] Generated Node #2: [54, 43, 125] from Operation: 69+56=125 Current State: 28:[54, 43, 125], Operations: ['69+56=125'] Exploring Operation: 54+43=97, Resulting Numbers: [125, 97] Generated Node #3: [125, 97] from Operation: 54+43=97 Current State: 28:[125, 97], Operations: ['69+56=125', '54+43=97'] Exploring Operation: 125-97=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 15, 19, 64, 3 ]
38
[ "15+19=34", "3*34=102", "102-64=38" ]
Current State: 38:[15, 19, 64, 3], Operations: [] Exploring Operation: 15+19=34, Resulting Numbers: [64, 3, 34] Generated Node #2: [64, 3, 34] from Operation: 15+19=34 Current State: 38:[64, 3, 34], Operations: ['15+19=34'] Exploring Operation: 3*34=102, Resulting Numbers: [64, 102] Generated Node #3: [64, 102] from Operation: 3*34=102 Current State: 38:[64, 102], Operations: ['15+19=34', '3*34=102'] Exploring Operation: 102-64=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 83, 21, 91, 98 ]
85
[ "83+21=104", "91+98=189", "189-104=85" ]
Current State: 85:[83, 21, 91, 98], Operations: [] Exploring Operation: 83+21=104, Resulting Numbers: [91, 98, 104] Generated Node #2: [91, 98, 104] from Operation: 83+21=104 Current State: 85:[91, 98, 104], Operations: ['83+21=104'] Exploring Operation: 91+98=189, Resulting Numbers: [104, 189] Generated Node #3: [104, 189] from Operation: 91+98=189 Current State: 85:[104, 189], Operations: ['83+21=104', '91+98=189'] Exploring Operation: 189-104=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 4, 95, 61 ]
87
[ "49+4=53", "95-61=34", "53+34=87" ]
Current State: 87:[49, 4, 95, 61], Operations: [] Exploring Operation: 49+4=53, Resulting Numbers: [95, 61, 53] Generated Node #2: [95, 61, 53] from Operation: 49+4=53 Current State: 87:[95, 61, 53], Operations: ['49+4=53'] Exploring Operation: 95-61=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 95-61=34 Current State: 87:[53, 34], Operations: ['49+4=53', '95-61=34'] Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 26, 67, 59 ]
64
[ "26-18=8", "67-59=8", "8*8=64" ]
Current State: 64:[18, 26, 67, 59], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [67, 59, 8] Generated Node #2: [67, 59, 8] from Operation: 26-18=8 Current State: 64:[67, 59, 8], Operations: ['26-18=8'] Exploring Operation: 67-59=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 67-59=8 Current State: 64:[8, 8], Operations: ['26-18=8', '67-59=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 91, 11, 5 ]
35
[ "91-40=51", "11+5=16", "51-16=35" ]
Current State: 35:[40, 91, 11, 5], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [11, 5, 51] Generated Node #2: [11, 5, 51] from Operation: 91-40=51 Current State: 35:[11, 5, 51], Operations: ['91-40=51'] Exploring Operation: 11+5=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 11+5=16 Current State: 35:[51, 16], Operations: ['91-40=51', '11+5=16'] Exploring Operation: 51-16=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 61, 16, 41 ]
62
[ "98-61=37", "41-16=25", "37+25=62" ]
Current State: 62:[98, 61, 16, 41], Operations: [] Exploring Operation: 98-61=37, Resulting Numbers: [16, 41, 37] Generated Node #2: [16, 41, 37] from Operation: 98-61=37 Current State: 62:[16, 41, 37], Operations: ['98-61=37'] Exploring Operation: 41-16=25, Resulting Numbers: [37, 25] Generated Node #3: [37, 25] from Operation: 41-16=25 Current State: 62:[37, 25], Operations: ['98-61=37', '41-16=25'] Exploring Operation: 37+25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 56, 41, 8 ]
73
[ "11*8=88", "56-41=15", "88-15=73" ]
Current State: 73:[11, 56, 41, 8], Operations: [] Exploring Operation: 11*8=88, Resulting Numbers: [56, 41, 88] Generated Node #2: [56, 41, 88] from Operation: 11*8=88 Current State: 73:[56, 41, 88], Operations: ['11*8=88'] Exploring Operation: 56-41=15, Resulting Numbers: [88, 15] Generated Node #3: [88, 15] from Operation: 56-41=15 Current State: 73:[88, 15], Operations: ['11*8=88', '56-41=15'] Exploring Operation: 88-15=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 85, 79, 43, 95 ]
58
[ "85-79=6", "95-43=52", "6+52=58" ]
Current State: 58:[85, 79, 43, 95], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [43, 95, 6] Generated Node #2: [43, 95, 6] from Operation: 85-79=6 Current State: 58:[43, 95, 6], Operations: ['85-79=6'] Exploring Operation: 95-43=52, Resulting Numbers: [6, 52] Generated Node #3: [6, 52] from Operation: 95-43=52 Current State: 58:[6, 52], Operations: ['85-79=6', '95-43=52'] Exploring Operation: 6+52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 16, 41, 64, 73 ]
32
[ "16*64=1024", "73-41=32", "1024/32=32" ]
Current State: 32:[16, 41, 64, 73], Operations: [] Exploring Operation: 16*64=1024, Resulting Numbers: [41, 73, 1024] Generated Node #2: [41, 73, 1024] from Operation: 16*64=1024 Current State: 32:[41, 73, 1024], Operations: ['16*64=1024'] Exploring Operation: 73-41=32, Resulting Numbers: [1024, 32] Generated Node #3: [1024, 32] from Operation: 73-41=32 Current State: 32:[1024, 32], Operations: ['16*64=1024', '73-41=32'] Exploring Operation: 1024/32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 27, 79, 72 ]
43
[ "54/27=2", "72/2=36", "79-36=43" ]
Current State: 43:[54, 27, 79, 72], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [79, 72, 2] Generated Node #2: [79, 72, 2] from Operation: 54/27=2 Current State: 43:[79, 72, 2], Operations: ['54/27=2'] Exploring Operation: 72/2=36, Resulting Numbers: [79, 36] Generated Node #3: [79, 36] from Operation: 72/2=36 Current State: 43:[79, 36], Operations: ['54/27=2', '72/2=36'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 31, 16, 51 ]
11
[ "31+16=47", "51-47=4", "44/4=11" ]
Current State: 11:[44, 31, 16, 51], Operations: [] Exploring Operation: 31+16=47, Resulting Numbers: [44, 51, 47] Generated Node #2: [44, 51, 47] from Operation: 31+16=47 Current State: 11:[44, 51, 47], Operations: ['31+16=47'] Exploring Operation: 51-47=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 51-47=4 Current State: 11:[44, 4], Operations: ['31+16=47', '51-47=4'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 99, 38, 18, 58 ]
61
[ "99+38=137", "18+58=76", "137-76=61" ]
Current State: 61:[99, 38, 18, 58], Operations: [] Exploring Operation: 99+38=137, Resulting Numbers: [18, 58, 137] Generated Node #2: [18, 58, 137] from Operation: 99+38=137 Current State: 61:[18, 58, 137], Operations: ['99+38=137'] Exploring Operation: 18+58=76, Resulting Numbers: [137, 76] Generated Node #3: [137, 76] from Operation: 18+58=76 Current State: 61:[137, 76], Operations: ['99+38=137', '18+58=76'] Exploring Operation: 137-76=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 22, 65, 84, 46 ]
43
[ "22+65=87", "84+46=130", "130-87=43" ]
Current State: 43:[22, 65, 84, 46], Operations: [] Exploring Operation: 22+65=87, Resulting Numbers: [84, 46, 87] Generated Node #2: [84, 46, 87] from Operation: 22+65=87 Current State: 43:[84, 46, 87], Operations: ['22+65=87'] Exploring Operation: 84+46=130, Resulting Numbers: [87, 130] Generated Node #3: [87, 130] from Operation: 84+46=130 Current State: 43:[87, 130], Operations: ['22+65=87', '84+46=130'] Exploring Operation: 130-87=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 20, 6, 83, 4 ]
61
[ "20+6=26", "83+4=87", "87-26=61" ]
Current State: 61:[20, 6, 83, 4], Operations: [] Exploring Operation: 20+6=26, Resulting Numbers: [83, 4, 26] Generated Node #2: [83, 4, 26] from Operation: 20+6=26 Current State: 61:[83, 4, 26], Operations: ['20+6=26'] Exploring Operation: 83+4=87, Resulting Numbers: [26, 87] Generated Node #3: [26, 87] from Operation: 83+4=87 Current State: 61:[26, 87], Operations: ['20+6=26', '83+4=87'] Exploring Operation: 87-26=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 62, 37, 69 ]
40
[ "69-62=7", "11*7=77", "77-37=40" ]
Current State: 40:[11, 62, 37, 69], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [11, 37, 7] Generated Node #2: [11, 37, 7] from Operation: 69-62=7 Current State: 40:[11, 37, 7], Operations: ['69-62=7'] Exploring Operation: 11*7=77, Resulting Numbers: [37, 77] Generated Node #3: [37, 77] from Operation: 11*7=77 Current State: 40:[37, 77], Operations: ['69-62=7', '11*7=77'] Exploring Operation: 77-37=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 95, 7, 62, 38 ]
43
[ "95+38=133", "133/7=19", "62-19=43" ]
Current State: 43:[95, 7, 62, 38], Operations: [] Exploring Operation: 95+38=133, Resulting Numbers: [7, 62, 133] Generated Node #2: [7, 62, 133] from Operation: 95+38=133 Current State: 43:[7, 62, 133], Operations: ['95+38=133'] Exploring Operation: 133/7=19, Resulting Numbers: [62, 19] Generated Node #3: [62, 19] from Operation: 133/7=19 Current State: 43:[62, 19], Operations: ['95+38=133', '133/7=19'] Exploring Operation: 62-19=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 68, 21, 64, 29 ]
46
[ "68-21=47", "64+29=93", "93-47=46" ]
Current State: 46:[68, 21, 64, 29], Operations: [] Exploring Operation: 68-21=47, Resulting Numbers: [64, 29, 47] Generated Node #2: [64, 29, 47] from Operation: 68-21=47 Current State: 46:[64, 29, 47], Operations: ['68-21=47'] Exploring Operation: 64+29=93, Resulting Numbers: [47, 93] Generated Node #3: [47, 93] from Operation: 64+29=93 Current State: 46:[47, 93], Operations: ['68-21=47', '64+29=93'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 16, 2, 21 ]
54
[ "56-21=35", "2*35=70", "70-16=54" ]
Current State: 54:[56, 16, 2, 21], Operations: [] Exploring Operation: 56-21=35, Resulting Numbers: [16, 2, 35] Generated Node #2: [16, 2, 35] from Operation: 56-21=35 Current State: 54:[16, 2, 35], Operations: ['56-21=35'] Exploring Operation: 2*35=70, Resulting Numbers: [16, 70] Generated Node #3: [16, 70] from Operation: 2*35=70 Current State: 54:[16, 70], Operations: ['56-21=35', '2*35=70'] Exploring Operation: 70-16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 66, 99, 61 ]
16
[ "66-61=5", "23*5=115", "115-99=16" ]
Current State: 16:[23, 66, 99, 61], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [23, 99, 5] Generated Node #2: [23, 99, 5] from Operation: 66-61=5 Current State: 16:[23, 99, 5], Operations: ['66-61=5'] Exploring Operation: 23*5=115, Resulting Numbers: [99, 115] Generated Node #3: [99, 115] from Operation: 23*5=115 Current State: 16:[99, 115], Operations: ['66-61=5', '23*5=115'] Exploring Operation: 115-99=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 15, 66, 82 ]
45
[ "44-15=29", "82-66=16", "29+16=45" ]
Current State: 45:[44, 15, 66, 82], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [66, 82, 29] Generated Node #2: [66, 82, 29] from Operation: 44-15=29 Current State: 45:[66, 82, 29], Operations: ['44-15=29'] Exploring Operation: 82-66=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 82-66=16 Current State: 45:[29, 16], Operations: ['44-15=29', '82-66=16'] Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 4, 86, 70 ]
22
[ "86-74=12", "4*12=48", "70-48=22" ]
Current State: 22:[74, 4, 86, 70], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [4, 70, 12] Generated Node #2: [4, 70, 12] from Operation: 86-74=12 Current State: 22:[4, 70, 12], Operations: ['86-74=12'] Exploring Operation: 4*12=48, Resulting Numbers: [70, 48] Generated Node #3: [70, 48] from Operation: 4*12=48 Current State: 22:[70, 48], Operations: ['86-74=12', '4*12=48'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 7, 85, 81, 23 ]
22
[ "81*23=1863", "7+1863=1870", "1870/85=22" ]
Current State: 22:[7, 85, 81, 23], Operations: [] Exploring Operation: 81*23=1863, Resulting Numbers: [7, 85, 1863] Generated Node #2: [7, 85, 1863] from Operation: 81*23=1863 Current State: 22:[7, 85, 1863], Operations: ['81*23=1863'] Exploring Operation: 7+1863=1870, Resulting Numbers: [85, 1870] Generated Node #3: [85, 1870] from Operation: 7+1863=1870 Current State: 22:[85, 1870], Operations: ['81*23=1863', '7+1863=1870'] Exploring Operation: 1870/85=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 51, 25, 64 ]
32
[ "20+51=71", "64-25=39", "71-39=32" ]
Current State: 32:[20, 51, 25, 64], Operations: [] Exploring Operation: 20+51=71, Resulting Numbers: [25, 64, 71] Generated Node #2: [25, 64, 71] from Operation: 20+51=71 Current State: 32:[25, 64, 71], Operations: ['20+51=71'] Exploring Operation: 64-25=39, Resulting Numbers: [71, 39] Generated Node #3: [71, 39] from Operation: 64-25=39 Current State: 32:[71, 39], Operations: ['20+51=71', '64-25=39'] Exploring Operation: 71-39=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 74, 9, 15, 12 ]
52
[ "74-9=65", "12*65=780", "780/15=52" ]
Current State: 52:[74, 9, 15, 12], Operations: [] Exploring Operation: 74-9=65, Resulting Numbers: [15, 12, 65] Generated Node #2: [15, 12, 65] from Operation: 74-9=65 Current State: 52:[15, 12, 65], Operations: ['74-9=65'] Exploring Operation: 12*65=780, Resulting Numbers: [15, 780] Generated Node #3: [15, 780] from Operation: 12*65=780 Current State: 52:[15, 780], Operations: ['74-9=65', '12*65=780'] Exploring Operation: 780/15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 6, 86, 59 ]
83
[ "59-57=2", "6/2=3", "86-3=83" ]
Current State: 83:[57, 6, 86, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [6, 86, 2] Generated Node #2: [6, 86, 2] from Operation: 59-57=2 Current State: 83:[6, 86, 2], Operations: ['59-57=2'] Exploring Operation: 6/2=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 6/2=3 Current State: 83:[86, 3], Operations: ['59-57=2', '6/2=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 82, 12, 31, 2 ]
60
[ "82/2=41", "31-12=19", "41+19=60" ]
Current State: 60:[82, 12, 31, 2], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [12, 31, 41] Generated Node #2: [12, 31, 41] from Operation: 82/2=41 Current State: 60:[12, 31, 41], Operations: ['82/2=41'] Exploring Operation: 31-12=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 31-12=19 Current State: 60:[41, 19], Operations: ['82/2=41', '31-12=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 3, 5, 77, 90 ]
83
[ "3*5=15", "90/15=6", "77+6=83" ]
Current State: 83:[3, 5, 77, 90], Operations: [] Exploring Operation: 3*5=15, Resulting Numbers: [77, 90, 15] Generated Node #2: [77, 90, 15] from Operation: 3*5=15 Current State: 83:[77, 90, 15], Operations: ['3*5=15'] Exploring Operation: 90/15=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 90/15=6 Current State: 83:[77, 6], Operations: ['3*5=15', '90/15=6'] Exploring Operation: 77+6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 47, 9, 10 ]
74
[ "44*9=396", "47*10=470", "470-396=74" ]
Current State: 74:[44, 47, 9, 10], Operations: [] Exploring Operation: 44*9=396, Resulting Numbers: [47, 10, 396] Generated Node #2: [47, 10, 396] from Operation: 44*9=396 Current State: 74:[47, 10, 396], Operations: ['44*9=396'] Exploring Operation: 47*10=470, Resulting Numbers: [396, 470] Generated Node #3: [396, 470] from Operation: 47*10=470 Current State: 74:[396, 470], Operations: ['44*9=396', '47*10=470'] Exploring Operation: 470-396=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 5, 15, 46 ]
34
[ "60+5=65", "46-15=31", "65-31=34" ]
Current State: 34:[60, 5, 15, 46], Operations: [] Exploring Operation: 60+5=65, Resulting Numbers: [15, 46, 65] Generated Node #2: [15, 46, 65] from Operation: 60+5=65 Current State: 34:[15, 46, 65], Operations: ['60+5=65'] Exploring Operation: 46-15=31, Resulting Numbers: [65, 31] Generated Node #3: [65, 31] from Operation: 46-15=31 Current State: 34:[65, 31], Operations: ['60+5=65', '46-15=31'] Exploring Operation: 65-31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 80, 74, 64, 78 ]
42
[ "80-78=2", "64/2=32", "74-32=42" ]
Current State: 42:[80, 74, 64, 78], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [74, 64, 2] Generated Node #2: [74, 64, 2] from Operation: 80-78=2 Current State: 42:[74, 64, 2], Operations: ['80-78=2'] Exploring Operation: 64/2=32, Resulting Numbers: [74, 32] Generated Node #3: [74, 32] from Operation: 64/2=32 Current State: 42:[74, 32], Operations: ['80-78=2', '64/2=32'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 68, 41, 84 ]
84
[ "68-28=40", "41-40=1", "84*1=84" ]
Current State: 84:[28, 68, 41, 84], Operations: [] Exploring Operation: 68-28=40, Resulting Numbers: [41, 84, 40] Generated Node #2: [41, 84, 40] from Operation: 68-28=40 Current State: 84:[41, 84, 40], Operations: ['68-28=40'] Exploring Operation: 41-40=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 41-40=1 Current State: 84:[84, 1], Operations: ['68-28=40', '41-40=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 88, 65, 84, 54 ]
92
[ "65-54=11", "88/11=8", "84+8=92" ]
Current State: 92:[88, 65, 84, 54], Operations: [] Exploring Operation: 65-54=11, Resulting Numbers: [88, 84, 11] Generated Node #2: [88, 84, 11] from Operation: 65-54=11 Current State: 92:[88, 84, 11], Operations: ['65-54=11'] Exploring Operation: 88/11=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 88/11=8 Current State: 92:[84, 8], Operations: ['65-54=11', '88/11=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 97, 72, 3 ]
86
[ "72-39=33", "33/3=11", "97-11=86" ]
Current State: 86:[39, 97, 72, 3], Operations: [] Exploring Operation: 72-39=33, Resulting Numbers: [97, 3, 33] Generated Node #2: [97, 3, 33] from Operation: 72-39=33 Current State: 86:[97, 3, 33], Operations: ['72-39=33'] Exploring Operation: 33/3=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 33/3=11 Current State: 86:[97, 11], Operations: ['72-39=33', '33/3=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 39, 87, 82 ]
43
[ "39-1=38", "87-82=5", "38+5=43" ]
Current State: 43:[1, 39, 87, 82], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [87, 82, 38] Generated Node #2: [87, 82, 38] from Operation: 39-1=38 Current State: 43:[87, 82, 38], Operations: ['39-1=38'] Exploring Operation: 87-82=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 87-82=5 Current State: 43:[38, 5], Operations: ['39-1=38', '87-82=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 42, 80, 2, 24 ]
60
[ "80-42=38", "24-2=22", "38+22=60" ]
Current State: 60:[42, 80, 2, 24], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [2, 24, 38] Generated Node #2: [2, 24, 38] from Operation: 80-42=38 Current State: 60:[2, 24, 38], Operations: ['80-42=38'] Exploring Operation: 24-2=22, Resulting Numbers: [38, 22] Generated Node #3: [38, 22] from Operation: 24-2=22 Current State: 60:[38, 22], Operations: ['80-42=38', '24-2=22'] Exploring Operation: 38+22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 64, 88, 79 ]
80
[ "23+64=87", "88+79=167", "167-87=80" ]
Current State: 80:[23, 64, 88, 79], Operations: [] Exploring Operation: 23+64=87, Resulting Numbers: [88, 79, 87] Generated Node #2: [88, 79, 87] from Operation: 23+64=87 Current State: 80:[88, 79, 87], Operations: ['23+64=87'] Exploring Operation: 88+79=167, Resulting Numbers: [87, 167] Generated Node #3: [87, 167] from Operation: 88+79=167 Current State: 80:[87, 167], Operations: ['23+64=87', '88+79=167'] Exploring Operation: 167-87=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 45, 8, 41 ]
19
[ "45-41=4", "44/4=11", "8+11=19" ]
Current State: 19:[44, 45, 8, 41], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [44, 8, 4] Generated Node #2: [44, 8, 4] from Operation: 45-41=4 Current State: 19:[44, 8, 4], Operations: ['45-41=4'] Exploring Operation: 44/4=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 44/4=11 Current State: 19:[8, 11], Operations: ['45-41=4', '44/4=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 68, 1, 27 ]
87
[ "68-7=61", "27-1=26", "61+26=87" ]
Current State: 87:[7, 68, 1, 27], Operations: [] Exploring Operation: 68-7=61, Resulting Numbers: [1, 27, 61] Generated Node #2: [1, 27, 61] from Operation: 68-7=61 Current State: 87:[1, 27, 61], Operations: ['68-7=61'] Exploring Operation: 27-1=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 27-1=26 Current State: 87:[61, 26], Operations: ['68-7=61', '27-1=26'] Exploring Operation: 61+26=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 50, 71, 25 ]
32
[ "53-50=3", "71+25=96", "96/3=32" ]
Current State: 32:[53, 50, 71, 25], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [71, 25, 3] Generated Node #2: [71, 25, 3] from Operation: 53-50=3 Current State: 32:[71, 25, 3], Operations: ['53-50=3'] Exploring Operation: 71+25=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 71+25=96 Current State: 32:[3, 96], Operations: ['53-50=3', '71+25=96'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 22, 57, 19, 57 ]
28
[ "57+57=114", "114/19=6", "22+6=28" ]
Current State: 28:[22, 57, 19, 57], Operations: [] Exploring Operation: 57+57=114, Resulting Numbers: [22, 19, 114] Generated Node #2: [22, 19, 114] from Operation: 57+57=114 Current State: 28:[22, 19, 114], Operations: ['57+57=114'] Exploring Operation: 114/19=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 114/19=6 Current State: 28:[22, 6], Operations: ['57+57=114', '114/19=6'] Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 69, 50, 91, 46 ]
88
[ "91-69=22", "50-46=4", "22*4=88" ]
Current State: 88:[69, 50, 91, 46], Operations: [] Exploring Operation: 91-69=22, Resulting Numbers: [50, 46, 22] Generated Node #2: [50, 46, 22] from Operation: 91-69=22 Current State: 88:[50, 46, 22], Operations: ['91-69=22'] Exploring Operation: 50-46=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 50-46=4 Current State: 88:[22, 4], Operations: ['91-69=22', '50-46=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 48, 33, 35 ]
27
[ "35-33=2", "42/2=21", "48-21=27" ]
Current State: 27:[42, 48, 33, 35], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [42, 48, 2] Generated Node #2: [42, 48, 2] from Operation: 35-33=2 Current State: 27:[42, 48, 2], Operations: ['35-33=2'] Exploring Operation: 42/2=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 42/2=21 Current State: 27:[48, 21], Operations: ['35-33=2', '42/2=21'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 64, 16, 59 ]
41
[ "64-30=34", "16+59=75", "75-34=41" ]
Current State: 41:[30, 64, 16, 59], Operations: [] Exploring Operation: 64-30=34, Resulting Numbers: [16, 59, 34] Generated Node #2: [16, 59, 34] from Operation: 64-30=34 Current State: 41:[16, 59, 34], Operations: ['64-30=34'] Exploring Operation: 16+59=75, Resulting Numbers: [34, 75] Generated Node #3: [34, 75] from Operation: 16+59=75 Current State: 41:[34, 75], Operations: ['64-30=34', '16+59=75'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 78, 98, 97, 98 ]
78
[ "98-98=0", "97*0=0", "78+0=78" ]
Current State: 78:[78, 98, 97, 98], Operations: [] Exploring Operation: 98-98=0, Resulting Numbers: [78, 97, 0] Generated Node #2: [78, 97, 0] from Operation: 98-98=0 Current State: 78:[78, 97, 0], Operations: ['98-98=0'] Exploring Operation: 97*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 97*0=0 Current State: 78:[78, 0], Operations: ['98-98=0', '97*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 41, 2, 10, 5 ]
86
[ "41+2=43", "10/5=2", "43*2=86" ]
Current State: 86:[41, 2, 10, 5], Operations: [] Exploring Operation: 41+2=43, Resulting Numbers: [10, 5, 43] Generated Node #2: [10, 5, 43] from Operation: 41+2=43 Current State: 86:[10, 5, 43], Operations: ['41+2=43'] Exploring Operation: 10/5=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 10/5=2 Current State: 86:[43, 2], Operations: ['41+2=43', '10/5=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 98, 91, 33 ]
21
[ "33-24=9", "98+91=189", "189/9=21" ]
Current State: 21:[24, 98, 91, 33], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [98, 91, 9] Generated Node #2: [98, 91, 9] from Operation: 33-24=9 Current State: 21:[98, 91, 9], Operations: ['33-24=9'] Exploring Operation: 98+91=189, Resulting Numbers: [9, 189] Generated Node #3: [9, 189] from Operation: 98+91=189 Current State: 21:[9, 189], Operations: ['33-24=9', '98+91=189'] Exploring Operation: 189/9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 24, 5, 4, 11 ]
76
[ "24*5=120", "4*11=44", "120-44=76" ]
Current State: 76:[24, 5, 4, 11], Operations: [] Exploring Operation: 24*5=120, Resulting Numbers: [4, 11, 120] Generated Node #2: [4, 11, 120] from Operation: 24*5=120 Current State: 76:[4, 11, 120], Operations: ['24*5=120'] Exploring Operation: 4*11=44, Resulting Numbers: [120, 44] Generated Node #3: [120, 44] from Operation: 4*11=44 Current State: 76:[120, 44], Operations: ['24*5=120', '4*11=44'] Exploring Operation: 120-44=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 37, 47, 12 ]
66
[ "47-37=10", "12+10=22", "3*22=66" ]
Current State: 66:[3, 37, 47, 12], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [3, 12, 10] Generated Node #2: [3, 12, 10] from Operation: 47-37=10 Current State: 66:[3, 12, 10], Operations: ['47-37=10'] Exploring Operation: 12+10=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 12+10=22 Current State: 66:[3, 22], Operations: ['47-37=10', '12+10=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 46, 97, 95 ]
76
[ "84-46=38", "97-95=2", "38*2=76" ]
Current State: 76:[84, 46, 97, 95], Operations: [] Exploring Operation: 84-46=38, Resulting Numbers: [97, 95, 38] Generated Node #2: [97, 95, 38] from Operation: 84-46=38 Current State: 76:[97, 95, 38], Operations: ['84-46=38'] Exploring Operation: 97-95=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 97-95=2 Current State: 76:[38, 2], Operations: ['84-46=38', '97-95=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 21, 31, 64, 2 ]
56
[ "31-21=10", "64+2=66", "66-10=56" ]
Current State: 56:[21, 31, 64, 2], Operations: [] Exploring Operation: 31-21=10, Resulting Numbers: [64, 2, 10] Generated Node #2: [64, 2, 10] from Operation: 31-21=10 Current State: 56:[64, 2, 10], Operations: ['31-21=10'] Exploring Operation: 64+2=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operation: 64+2=66 Current State: 56:[10, 66], Operations: ['31-21=10', '64+2=66'] Exploring Operation: 66-10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 70, 27, 87, 97 ]
87
[ "70+27=97", "87+97=184", "184-97=87" ]
Current State: 87:[70, 27, 87, 97], Operations: [] Exploring Operation: 70+27=97, Resulting Numbers: [87, 97, 97] Generated Node #2: [87, 97, 97] from Operation: 70+27=97 Current State: 87:[87, 97, 97], Operations: ['70+27=97'] Exploring Operation: 87+97=184, Resulting Numbers: [184] 184,87 equal: Goal Reached Exploring Operation: 184-97=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 95, 44, 14 ]
84
[ "14-10=4", "44/4=11", "95-11=84" ]
Current State: 84:[10, 95, 44, 14], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [95, 44, 4] Generated Node #2: [95, 44, 4] from Operation: 14-10=4 Current State: 84:[95, 44, 4], Operations: ['14-10=4'] Exploring Operation: 44/4=11, Resulting Numbers: [95, 11] Generated Node #3: [95, 11] from Operation: 44/4=11 Current State: 84:[95, 11], Operations: ['14-10=4', '44/4=11'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 37, 71, 70, 10 ]
47
[ "37+10=47", "71-70=1", "47*1=47" ]
Current State: 47:[37, 71, 70, 10], Operations: [] Exploring Operation: 37+10=47, Resulting Numbers: [71, 70, 47] Generated Node #2: [71, 70, 47] from Operation: 37+10=47 Current State: 47:[71, 70, 47], Operations: ['37+10=47'] Exploring Operation: 71-70=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 71-70=1 Current State: 47:[47, 1], Operations: ['37+10=47', '71-70=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 43, 50, 2, 26 ]
55
[ "50-26=24", "24/2=12", "43+12=55" ]
Current State: 55:[43, 50, 2, 26], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [43, 2, 24] Generated Node #2: [43, 2, 24] from Operation: 50-26=24 Current State: 55:[43, 2, 24], Operations: ['50-26=24'] Exploring Operation: 24/2=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 24/2=12 Current State: 55:[43, 12], Operations: ['50-26=24', '24/2=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 59, 30, 58, 19 ]
38
[ "59-30=29", "58*19=1102", "1102/29=38" ]
Current State: 38:[59, 30, 58, 19], Operations: [] Exploring Operation: 59-30=29, Resulting Numbers: [58, 19, 29] Generated Node #2: [58, 19, 29] from Operation: 59-30=29 Current State: 38:[58, 19, 29], Operations: ['59-30=29'] Exploring Operation: 58*19=1102, Resulting Numbers: [29, 1102] Generated Node #3: [29, 1102] from Operation: 58*19=1102 Current State: 38:[29, 1102], Operations: ['59-30=29', '58*19=1102'] Exploring Operation: 1102/29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 12, 17, 20 ]
14
[ "34/17=2", "12/2=6", "20-6=14" ]
Current State: 14:[34, 12, 17, 20], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [12, 20, 2] Generated Node #2: [12, 20, 2] from Operation: 34/17=2 Current State: 14:[12, 20, 2], Operations: ['34/17=2'] Exploring Operation: 12/2=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 12/2=6 Current State: 14:[20, 6], Operations: ['34/17=2', '12/2=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 96, 38, 22, 10 ]
70
[ "96-38=58", "22-10=12", "58+12=70" ]
Current State: 70:[96, 38, 22, 10], Operations: [] Exploring Operation: 96-38=58, Resulting Numbers: [22, 10, 58] Generated Node #2: [22, 10, 58] from Operation: 96-38=58 Current State: 70:[22, 10, 58], Operations: ['96-38=58'] Exploring Operation: 22-10=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 22-10=12 Current State: 70:[58, 12], Operations: ['96-38=58', '22-10=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 80, 1, 74 ]
47
[ "80-54=26", "74-1=73", "73-26=47" ]
Current State: 47:[54, 80, 1, 74], Operations: [] Exploring Operation: 80-54=26, Resulting Numbers: [1, 74, 26] Generated Node #2: [1, 74, 26] from Operation: 80-54=26 Current State: 47:[1, 74, 26], Operations: ['80-54=26'] Exploring Operation: 74-1=73, Resulting Numbers: [26, 73] Generated Node #3: [26, 73] from Operation: 74-1=73 Current State: 47:[26, 73], Operations: ['80-54=26', '74-1=73'] Exploring Operation: 73-26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 32, 2, 40 ]
21
[ "32-2=30", "28*30=840", "840/40=21" ]
Current State: 21:[28, 32, 2, 40], Operations: [] Exploring Operation: 32-2=30, Resulting Numbers: [28, 40, 30] Generated Node #2: [28, 40, 30] from Operation: 32-2=30 Current State: 21:[28, 40, 30], Operations: ['32-2=30'] Exploring Operation: 28*30=840, Resulting Numbers: [40, 840] Generated Node #3: [40, 840] from Operation: 28*30=840 Current State: 21:[40, 840], Operations: ['32-2=30', '28*30=840'] Exploring Operation: 840/40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 41, 11, 37 ]
86
[ "95*37=3515", "11+3515=3526", "3526/41=86" ]
Current State: 86:[95, 41, 11, 37], Operations: [] Exploring Operation: 95*37=3515, Resulting Numbers: [41, 11, 3515] Generated Node #2: [41, 11, 3515] from Operation: 95*37=3515 Current State: 86:[41, 11, 3515], Operations: ['95*37=3515'] Exploring Operation: 11+3515=3526, Resulting Numbers: [41, 3526] Generated Node #3: [41, 3526] from Operation: 11+3515=3526 Current State: 86:[41, 3526], Operations: ['95*37=3515', '11+3515=3526'] Exploring Operation: 3526/41=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 99, 64, 11 ]
66
[ "99-11=88", "88/44=2", "64+2=66" ]
Current State: 66:[44, 99, 64, 11], Operations: [] Exploring Operation: 99-11=88, Resulting Numbers: [44, 64, 88] Generated Node #2: [44, 64, 88] from Operation: 99-11=88 Current State: 66:[44, 64, 88], Operations: ['99-11=88'] Exploring Operation: 88/44=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 88/44=2 Current State: 66:[64, 2], Operations: ['99-11=88', '88/44=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 82, 4, 18, 19 ]
65
[ "18*19=342", "342-82=260", "260/4=65" ]
Current State: 65:[82, 4, 18, 19], Operations: [] Exploring Operation: 18*19=342, Resulting Numbers: [82, 4, 342] Generated Node #2: [82, 4, 342] from Operation: 18*19=342 Current State: 65:[82, 4, 342], Operations: ['18*19=342'] Exploring Operation: 342-82=260, Resulting Numbers: [4, 260] Generated Node #3: [4, 260] from Operation: 342-82=260 Current State: 65:[4, 260], Operations: ['18*19=342', '342-82=260'] Exploring Operation: 260/4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 1, 49, 52 ]
56
[ "49-1=48", "48/12=4", "52+4=56" ]
Current State: 56:[12, 1, 49, 52], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [12, 52, 48] Generated Node #2: [12, 52, 48] from Operation: 49-1=48 Current State: 56:[12, 52, 48], Operations: ['49-1=48'] Exploring Operation: 48/12=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 48/12=4 Current State: 56:[52, 4], Operations: ['49-1=48', '48/12=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 60, 47, 51, 51 ]
12
[ "60-47=13", "51/51=1", "13-1=12" ]
Current State: 12:[60, 47, 51, 51], Operations: [] Exploring Operation: 60-47=13, Resulting Numbers: [51, 51, 13] Generated Node #2: [51, 51, 13] from Operation: 60-47=13 Current State: 12:[51, 51, 13], Operations: ['60-47=13'] Exploring Operation: 51/51=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 51/51=1 Current State: 12:[13, 1], Operations: ['60-47=13', '51/51=1'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 36, 33, 33, 27 ]
20
[ "36-33=3", "33+27=60", "60/3=20" ]
Current State: 20:[36, 33, 33, 27], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [27, 3] Generated Node #2: [27, 3] from Operation: 36-33=3 Current State: 20:[27, 3], Operations: ['36-33=3'] Exploring Operation: 33+27=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 33+27=60 Current State: 20:[3, 60], Operations: ['36-33=3', '33+27=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 25, 83, 89 ]
11
[ "42-25=17", "89-83=6", "17-6=11" ]
Current State: 11:[42, 25, 83, 89], Operations: [] Exploring Operation: 42-25=17, Resulting Numbers: [83, 89, 17] Generated Node #2: [83, 89, 17] from Operation: 42-25=17 Current State: 11:[83, 89, 17], Operations: ['42-25=17'] Exploring Operation: 89-83=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 89-83=6 Current State: 11:[17, 6], Operations: ['42-25=17', '89-83=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 20, 72, 91 ]
97
[ "13*20=260", "72+91=163", "260-163=97" ]
Current State: 97:[13, 20, 72, 91], Operations: [] Exploring Operation: 13*20=260, Resulting Numbers: [72, 91, 260] Generated Node #2: [72, 91, 260] from Operation: 13*20=260 Current State: 97:[72, 91, 260], Operations: ['13*20=260'] Exploring Operation: 72+91=163, Resulting Numbers: [260, 163] Generated Node #3: [260, 163] from Operation: 72+91=163 Current State: 97:[260, 163], Operations: ['13*20=260', '72+91=163'] Exploring Operation: 260-163=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 19, 95, 69, 49 ]
96
[ "95-19=76", "69-49=20", "76+20=96" ]
Current State: 96:[19, 95, 69, 49], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [69, 49, 76] Generated Node #2: [69, 49, 76] from Operation: 95-19=76 Current State: 96:[69, 49, 76], Operations: ['95-19=76'] Exploring Operation: 69-49=20, Resulting Numbers: [76, 20] Generated Node #3: [76, 20] from Operation: 69-49=20 Current State: 96:[76, 20], Operations: ['95-19=76', '69-49=20'] Exploring Operation: 76+20=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 63, 84, 11 ]
28
[ "63-30=33", "84*11=924", "924/33=28" ]
Current State: 28:[30, 63, 84, 11], Operations: [] Exploring Operation: 63-30=33, Resulting Numbers: [84, 11, 33] Generated Node #2: [84, 11, 33] from Operation: 63-30=33 Current State: 28:[84, 11, 33], Operations: ['63-30=33'] Exploring Operation: 84*11=924, Resulting Numbers: [33, 924] Generated Node #3: [33, 924] from Operation: 84*11=924 Current State: 28:[33, 924], Operations: ['63-30=33', '84*11=924'] Exploring Operation: 924/33=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 26, 18, 17, 4 ]
22
[ "26-4=22", "18-17=1", "22*1=22" ]
Current State: 22:[26, 18, 17, 4], Operations: [] Exploring Operation: 26-4=22, Resulting Numbers: [18, 17, 22] Generated Node #2: [18, 17, 22] from Operation: 26-4=22 Current State: 22:[18, 17, 22], Operations: ['26-4=22'] Exploring Operation: 18-17=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 18-17=1 Current State: 22:[22, 1], Operations: ['26-4=22', '18-17=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 8, 70, 69, 23 ]
81
[ "8+70=78", "69/23=3", "78+3=81" ]
Current State: 81:[8, 70, 69, 23], Operations: [] Exploring Operation: 8+70=78, Resulting Numbers: [69, 23, 78] Generated Node #2: [69, 23, 78] from Operation: 8+70=78 Current State: 81:[69, 23, 78], Operations: ['8+70=78'] Exploring Operation: 69/23=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 69/23=3 Current State: 81:[78, 3], Operations: ['8+70=78', '69/23=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 31, 80, 45 ]
61
[ "57-31=26", "80-45=35", "26+35=61" ]
Current State: 61:[57, 31, 80, 45], Operations: [] Exploring Operation: 57-31=26, Resulting Numbers: [80, 45, 26] Generated Node #2: [80, 45, 26] from Operation: 57-31=26 Current State: 61:[80, 45, 26], Operations: ['57-31=26'] Exploring Operation: 80-45=35, Resulting Numbers: [26, 35] Generated Node #3: [26, 35] from Operation: 80-45=35 Current State: 61:[26, 35], Operations: ['57-31=26', '80-45=35'] Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 97, 40, 26, 55 ]
24
[ "97-40=57", "26+55=81", "81-57=24" ]
Current State: 24:[97, 40, 26, 55], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [26, 55, 57] Generated Node #2: [26, 55, 57] from Operation: 97-40=57 Current State: 24:[26, 55, 57], Operations: ['97-40=57'] Exploring Operation: 26+55=81, Resulting Numbers: [57, 81] Generated Node #3: [57, 81] from Operation: 26+55=81 Current State: 24:[57, 81], Operations: ['97-40=57', '26+55=81'] Exploring Operation: 81-57=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 85, 13, 96, 79 ]
29
[ "85-79=6", "96/6=16", "13+16=29" ]
Current State: 29:[85, 13, 96, 79], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [13, 96, 6] Generated Node #2: [13, 96, 6] from Operation: 85-79=6 Current State: 29:[13, 96, 6], Operations: ['85-79=6'] Exploring Operation: 96/6=16, Resulting Numbers: [13, 16] Generated Node #3: [13, 16] from Operation: 96/6=16 Current State: 29:[13, 16], Operations: ['85-79=6', '96/6=16'] Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 13, 27, 20, 52 ]
22
[ "13*20=260", "260/52=5", "27-5=22" ]
Current State: 22:[13, 27, 20, 52], Operations: [] Exploring Operation: 13*20=260, Resulting Numbers: [27, 52, 260] Generated Node #2: [27, 52, 260] from Operation: 13*20=260 Current State: 22:[27, 52, 260], Operations: ['13*20=260'] Exploring Operation: 260/52=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 260/52=5 Current State: 22:[27, 5], Operations: ['13*20=260', '260/52=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 66, 48, 11 ]
40
[ "48-14=34", "66/11=6", "34+6=40" ]
Current State: 40:[14, 66, 48, 11], Operations: [] Exploring Operation: 48-14=34, Resulting Numbers: [66, 11, 34] Generated Node #2: [66, 11, 34] from Operation: 48-14=34 Current State: 40:[66, 11, 34], Operations: ['48-14=34'] Exploring Operation: 66/11=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 66/11=6 Current State: 40:[34, 6], Operations: ['48-14=34', '66/11=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 31, 44, 80, 12 ]
17
[ "31+44=75", "80+12=92", "92-75=17" ]
Current State: 17:[31, 44, 80, 12], Operations: [] Exploring Operation: 31+44=75, Resulting Numbers: [80, 12, 75] Generated Node #2: [80, 12, 75] from Operation: 31+44=75 Current State: 17:[80, 12, 75], Operations: ['31+44=75'] Exploring Operation: 80+12=92, Resulting Numbers: [75, 92] Generated Node #3: [75, 92] from Operation: 80+12=92 Current State: 17:[75, 92], Operations: ['31+44=75', '80+12=92'] Exploring Operation: 92-75=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 29, 32, 91, 22 ]
19
[ "29-22=7", "91/7=13", "32-13=19" ]
Current State: 19:[29, 32, 91, 22], Operations: [] Exploring Operation: 29-22=7, Resulting Numbers: [32, 91, 7] Generated Node #2: [32, 91, 7] from Operation: 29-22=7 Current State: 19:[32, 91, 7], Operations: ['29-22=7'] Exploring Operation: 91/7=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 91/7=13 Current State: 19:[32, 13], Operations: ['29-22=7', '91/7=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 19, 6, 80 ]
87
[ "19-18=1", "6+80=86", "1+86=87" ]
Current State: 87:[18, 19, 6, 80], Operations: [] Exploring Operation: 19-18=1, Resulting Numbers: [6, 80, 1] Generated Node #2: [6, 80, 1] from Operation: 19-18=1 Current State: 87:[6, 80, 1], Operations: ['19-18=1'] Exploring Operation: 6+80=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 6+80=86 Current State: 87:[1, 86], Operations: ['19-18=1', '6+80=86'] Exploring Operation: 1+86=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 45, 5, 36, 24 ]
38
[ "45+5=50", "36-24=12", "50-12=38" ]
Current State: 38:[45, 5, 36, 24], Operations: [] Exploring Operation: 45+5=50, Resulting Numbers: [36, 24, 50] Generated Node #2: [36, 24, 50] from Operation: 45+5=50 Current State: 38:[36, 24, 50], Operations: ['45+5=50'] Exploring Operation: 36-24=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 36-24=12 Current State: 38:[50, 12], Operations: ['45+5=50', '36-24=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 93, 80, 44 ]
49
[ "93-18=75", "80+44=124", "124-75=49" ]
Current State: 49:[18, 93, 80, 44], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [80, 44, 75] Generated Node #2: [80, 44, 75] from Operation: 93-18=75 Current State: 49:[80, 44, 75], Operations: ['93-18=75'] Exploring Operation: 80+44=124, Resulting Numbers: [75, 124] Generated Node #3: [75, 124] from Operation: 80+44=124 Current State: 49:[75, 124], Operations: ['93-18=75', '80+44=124'] Exploring Operation: 124-75=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 33, 36, 20, 83 ]
90
[ "83-33=50", "36*50=1800", "1800/20=90" ]
Current State: 90:[33, 36, 20, 83], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [36, 20, 50] Generated Node #2: [36, 20, 50] from Operation: 83-33=50 Current State: 90:[36, 20, 50], Operations: ['83-33=50'] Exploring Operation: 36*50=1800, Resulting Numbers: [20, 1800] Generated Node #3: [20, 1800] from Operation: 36*50=1800 Current State: 90:[20, 1800], Operations: ['83-33=50', '36*50=1800'] Exploring Operation: 1800/20=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 99, 11, 86 ]
91
[ "11-4=7", "99-86=13", "7*13=91" ]
Current State: 91:[4, 99, 11, 86], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [99, 86, 7] Generated Node #2: [99, 86, 7] from Operation: 11-4=7 Current State: 91:[99, 86, 7], Operations: ['11-4=7'] Exploring Operation: 99-86=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 99-86=13 Current State: 91:[7, 13], Operations: ['11-4=7', '99-86=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 63, 13, 18 ]
82
[ "63*18=1134", "1134-68=1066", "1066/13=82" ]
Current State: 82:[68, 63, 13, 18], Operations: [] Exploring Operation: 63*18=1134, Resulting Numbers: [68, 13, 1134] Generated Node #2: [68, 13, 1134] from Operation: 63*18=1134 Current State: 82:[68, 13, 1134], Operations: ['63*18=1134'] Exploring Operation: 1134-68=1066, Resulting Numbers: [13, 1066] Generated Node #3: [13, 1066] from Operation: 1134-68=1066 Current State: 82:[13, 1066], Operations: ['63*18=1134', '1134-68=1066'] Exploring Operation: 1066/13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 95, 34, 95 ]
34
[ "95-95=0", "53*0=0", "34+0=34" ]
Current State: 34:[53, 95, 34, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [53, 34, 0] Generated Node #2: [53, 34, 0] from Operation: 95-95=0 Current State: 34:[53, 34, 0], Operations: ['95-95=0'] Exploring Operation: 53*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 53*0=0 Current State: 34:[34, 0], Operations: ['95-95=0', '53*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 32, 42, 5, 69 ]
49
[ "32*5=160", "42+69=111", "160-111=49" ]
Current State: 49:[32, 42, 5, 69], Operations: [] Exploring Operation: 32*5=160, Resulting Numbers: [42, 69, 160] Generated Node #2: [42, 69, 160] from Operation: 32*5=160 Current State: 49:[42, 69, 160], Operations: ['32*5=160'] Exploring Operation: 42+69=111, Resulting Numbers: [160, 111] Generated Node #3: [160, 111] from Operation: 42+69=111 Current State: 49:[160, 111], Operations: ['32*5=160', '42+69=111'] Exploring Operation: 160-111=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 83, 41, 54 ]
58
[ "82/41=2", "83-54=29", "2*29=58" ]
Current State: 58:[82, 83, 41, 54], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [83, 54, 2] Generated Node #2: [83, 54, 2] from Operation: 82/41=2 Current State: 58:[83, 54, 2], Operations: ['82/41=2'] Exploring Operation: 83-54=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 83-54=29 Current State: 58:[2, 29], Operations: ['82/41=2', '83-54=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 3, 24, 32 ]
85
[ "3+24=27", "32-27=5", "17*5=85" ]
Current State: 85:[17, 3, 24, 32], Operations: [] Exploring Operation: 3+24=27, Resulting Numbers: [17, 32, 27] Generated Node #2: [17, 32, 27] from Operation: 3+24=27 Current State: 85:[17, 32, 27], Operations: ['3+24=27'] Exploring Operation: 32-27=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 32-27=5 Current State: 85:[17, 5], Operations: ['3+24=27', '32-27=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 86, 30, 56, 2 ]
34
[ "56-30=26", "2*26=52", "86-52=34" ]
Current State: 34:[86, 30, 56, 2], Operations: [] Exploring Operation: 56-30=26, Resulting Numbers: [86, 2, 26] Generated Node #2: [86, 2, 26] from Operation: 56-30=26 Current State: 34:[86, 2, 26], Operations: ['56-30=26'] Exploring Operation: 2*26=52, Resulting Numbers: [86, 52] Generated Node #3: [86, 52] from Operation: 2*26=52 Current State: 34:[86, 52], Operations: ['56-30=26', '2*26=52'] Exploring Operation: 86-52=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 19, 30, 94 ]
12
[ "30*30=900", "94-19=75", "900/75=12" ]
Current State: 12:[30, 19, 30, 94], Operations: [] Exploring Operation: 30*30=900, Resulting Numbers: [19, 94, 900] Generated Node #2: [19, 94, 900] from Operation: 30*30=900 Current State: 12:[19, 94, 900], Operations: ['30*30=900'] Exploring Operation: 94-19=75, Resulting Numbers: [900, 75] Generated Node #3: [900, 75] from Operation: 94-19=75 Current State: 12:[900, 75], Operations: ['30*30=900', '94-19=75'] Exploring Operation: 900/75=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 94, 47, 90 ]
62
[ "94-90=4", "60/4=15", "47+15=62" ]
Current State: 62:[60, 94, 47, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [60, 47, 4] Generated Node #2: [60, 47, 4] from Operation: 94-90=4 Current State: 62:[60, 47, 4], Operations: ['94-90=4'] Exploring Operation: 60/4=15, Resulting Numbers: [47, 15] Generated Node #3: [47, 15] from Operation: 60/4=15 Current State: 62:[47, 15], Operations: ['94-90=4', '60/4=15'] Exploring Operation: 47+15=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 82, 36, 12, 32 ]
26
[ "82-36=46", "32-12=20", "46-20=26" ]
Current State: 26:[82, 36, 12, 32], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [12, 32, 46] Generated Node #2: [12, 32, 46] from Operation: 82-36=46 Current State: 26:[12, 32, 46], Operations: ['82-36=46'] Exploring Operation: 32-12=20, Resulting Numbers: [46, 20] Generated Node #3: [46, 20] from Operation: 32-12=20 Current State: 26:[46, 20], Operations: ['82-36=46', '32-12=20'] Exploring Operation: 46-20=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 55, 53, 53, 50 ]
56
[ "55-53=2", "53*2=106", "106-50=56" ]
Current State: 56:[55, 53, 53, 50], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [50, 2] Generated Node #2: [50, 2] from Operation: 55-53=2 Current State: 56:[50, 2], Operations: ['55-53=2'] Exploring Operation: 53*2=106, Resulting Numbers: [50, 106] Generated Node #3: [50, 106] from Operation: 53*2=106 Current State: 56:[50, 106], Operations: ['55-53=2', '53*2=106'] Exploring Operation: 106-50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 7, 45, 87, 78 ]
18
[ "87-78=9", "7*9=63", "63-45=18" ]
Current State: 18:[7, 45, 87, 78], Operations: [] Exploring Operation: 87-78=9, Resulting Numbers: [7, 45, 9] Generated Node #2: [7, 45, 9] from Operation: 87-78=9 Current State: 18:[7, 45, 9], Operations: ['87-78=9'] Exploring Operation: 7*9=63, Resulting Numbers: [45, 63] Generated Node #3: [45, 63] from Operation: 7*9=63 Current State: 18:[45, 63], Operations: ['87-78=9', '7*9=63'] Exploring Operation: 63-45=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 20, 53, 25, 9 ]
17
[ "53-20=33", "25-9=16", "33-16=17" ]
Current State: 17:[20, 53, 25, 9], Operations: [] Exploring Operation: 53-20=33, Resulting Numbers: [25, 9, 33] Generated Node #2: [25, 9, 33] from Operation: 53-20=33 Current State: 17:[25, 9, 33], Operations: ['53-20=33'] Exploring Operation: 25-9=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 25-9=16 Current State: 17:[33, 16], Operations: ['53-20=33', '25-9=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 10, 12, 90 ]
28
[ "12-10=2", "59*2=118", "118-90=28" ]
Current State: 28:[59, 10, 12, 90], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [59, 90, 2] Generated Node #2: [59, 90, 2] from Operation: 12-10=2 Current State: 28:[59, 90, 2], Operations: ['12-10=2'] Exploring Operation: 59*2=118, Resulting Numbers: [90, 118] Generated Node #3: [90, 118] from Operation: 59*2=118 Current State: 28:[90, 118], Operations: ['12-10=2', '59*2=118'] Exploring Operation: 118-90=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 29, 35, 6 ]
22
[ "77-35=42", "42/6=7", "29-7=22" ]
Current State: 22:[77, 29, 35, 6], Operations: [] Exploring Operation: 77-35=42, Resulting Numbers: [29, 6, 42] Generated Node #2: [29, 6, 42] from Operation: 77-35=42 Current State: 22:[29, 6, 42], Operations: ['77-35=42'] Exploring Operation: 42/6=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 42/6=7 Current State: 22:[29, 7], Operations: ['77-35=42', '42/6=7'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4