nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 46, 12, 84, 46 ]
95
[ "46/46=1", "12+84=96", "96-1=95" ]
Current State: 95:[46, 12, 84, 46], Operations: [] Exploring Operation: 46/46=1, Resulting Numbers: [12, 84, 1] Generated Node #2: [12, 84, 1] from Operation: 46/46=1 Current State: 95:[12, 84, 1], Operations: ['46/46=1'] Exploring Operation: 12+84=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 12+84=96 Current State: 95:[1, 96], Operations: ['46/46=1', '12+84=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 76, 12, 45, 70 ]
51
[ "76-12=64", "45+70=115", "115-64=51" ]
Current State: 51:[76, 12, 45, 70], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [45, 70, 64] Generated Node #2: [45, 70, 64] from Operation: 76-12=64 Current State: 51:[45, 70, 64], Operations: ['76-12=64'] Exploring Operation: 45+70=115, Resulting Numbers: [64, 115] Generated Node #3: [64, 115] from Operation: 45+70=115 Current State: 51:[64, 115], Operations: ['76-12=64', '45+70=115'] Exploring Operation: 115-64=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 83, 25, 30 ]
80
[ "2+83=85", "30-25=5", "85-5=80" ]
Current State: 80:[2, 83, 25, 30], Operations: [] Exploring Operation: 2+83=85, Resulting Numbers: [25, 30, 85] Generated Node #2: [25, 30, 85] from Operation: 2+83=85 Current State: 80:[25, 30, 85], Operations: ['2+83=85'] Exploring Operation: 30-25=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 30-25=5 Current State: 80:[85, 5], Operations: ['2+83=85', '30-25=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 19, 56, 90, 37 ]
57
[ "90-56=34", "37-34=3", "19*3=57" ]
Current State: 57:[19, 56, 90, 37], Operations: [] Exploring Operation: 90-56=34, Resulting Numbers: [19, 37, 34] Generated Node #2: [19, 37, 34] from Operation: 90-56=34 Current State: 57:[19, 37, 34], Operations: ['90-56=34'] Exploring Operation: 37-34=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 37-34=3 Current State: 57:[19, 3], Operations: ['90-56=34', '37-34=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 77, 5, 18 ]
23
[ "8-5=3", "18*3=54", "77-54=23" ]
Current State: 23:[8, 77, 5, 18], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [77, 18, 3] Generated Node #2: [77, 18, 3] from Operation: 8-5=3 Current State: 23:[77, 18, 3], Operations: ['8-5=3'] Exploring Operation: 18*3=54, Resulting Numbers: [77, 54] Generated Node #3: [77, 54] from Operation: 18*3=54 Current State: 23:[77, 54], Operations: ['8-5=3', '18*3=54'] Exploring Operation: 77-54=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 83, 98, 80, 85 ]
36
[ "85-83=2", "98-80=18", "2*18=36" ]
Current State: 36:[83, 98, 80, 85], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [98, 80, 2] Generated Node #2: [98, 80, 2] from Operation: 85-83=2 Current State: 36:[98, 80, 2], Operations: ['85-83=2'] Exploring Operation: 98-80=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 98-80=18 Current State: 36:[2, 18], Operations: ['85-83=2', '98-80=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 41, 92, 12, 4 ]
85
[ "41+92=133", "12*4=48", "133-48=85" ]
Current State: 85:[41, 92, 12, 4], Operations: [] Exploring Operation: 41+92=133, Resulting Numbers: [12, 4, 133] Generated Node #2: [12, 4, 133] from Operation: 41+92=133 Current State: 85:[12, 4, 133], Operations: ['41+92=133'] Exploring Operation: 12*4=48, Resulting Numbers: [133, 48] Generated Node #3: [133, 48] from Operation: 12*4=48 Current State: 85:[133, 48], Operations: ['41+92=133', '12*4=48'] Exploring Operation: 133-48=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 15, 51, 5, 67 ]
13
[ "15/5=3", "67-51=16", "16-3=13" ]
Current State: 13:[15, 51, 5, 67], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [51, 67, 3] Generated Node #2: [51, 67, 3] from Operation: 15/5=3 Current State: 13:[51, 67, 3], Operations: ['15/5=3'] Exploring Operation: 67-51=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 67-51=16 Current State: 13:[3, 16], Operations: ['15/5=3', '67-51=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 99, 49, 60, 93 ]
66
[ "99-93=6", "60-49=11", "6*11=66" ]
Current State: 66:[99, 49, 60, 93], Operations: [] Exploring Operation: 99-93=6, Resulting Numbers: [49, 60, 6] Generated Node #2: [49, 60, 6] from Operation: 99-93=6 Current State: 66:[49, 60, 6], Operations: ['99-93=6'] Exploring Operation: 60-49=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 60-49=11 Current State: 66:[6, 11], Operations: ['99-93=6', '60-49=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 91, 90, 60, 50 ]
17
[ "90*60=5400", "5400/50=108", "108-91=17" ]
Current State: 17:[91, 90, 60, 50], Operations: [] Exploring Operation: 90*60=5400, Resulting Numbers: [91, 50, 5400] Generated Node #2: [91, 50, 5400] from Operation: 90*60=5400 Current State: 17:[91, 50, 5400], Operations: ['90*60=5400'] Exploring Operation: 5400/50=108, Resulting Numbers: [91, 108] Generated Node #3: [91, 108] from Operation: 5400/50=108 Current State: 17:[91, 108], Operations: ['90*60=5400', '5400/50=108'] Exploring Operation: 108-91=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 5, 71, 8, 23 ]
88
[ "5*8=40", "71-23=48", "40+48=88" ]
Current State: 88:[5, 71, 8, 23], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [71, 23, 40] Generated Node #2: [71, 23, 40] from Operation: 5*8=40 Current State: 88:[71, 23, 40], Operations: ['5*8=40'] Exploring Operation: 71-23=48, Resulting Numbers: [40, 48] Generated Node #3: [40, 48] from Operation: 71-23=48 Current State: 88:[40, 48], Operations: ['5*8=40', '71-23=48'] Exploring Operation: 40+48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 87, 34, 20, 15 ]
82
[ "87*20=1740", "1740/15=116", "116-34=82" ]
Current State: 82:[87, 34, 20, 15], Operations: [] Exploring Operation: 87*20=1740, Resulting Numbers: [34, 15, 1740] Generated Node #2: [34, 15, 1740] from Operation: 87*20=1740 Current State: 82:[34, 15, 1740], Operations: ['87*20=1740'] Exploring Operation: 1740/15=116, Resulting Numbers: [34, 116] Generated Node #3: [34, 116] from Operation: 1740/15=116 Current State: 82:[34, 116], Operations: ['87*20=1740', '1740/15=116'] Exploring Operation: 116-34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 63, 28, 24 ]
12
[ "63-33=30", "30-28=2", "24/2=12" ]
Current State: 12:[33, 63, 28, 24], Operations: [] Exploring Operation: 63-33=30, Resulting Numbers: [28, 24, 30] Generated Node #2: [28, 24, 30] from Operation: 63-33=30 Current State: 12:[28, 24, 30], Operations: ['63-33=30'] Exploring Operation: 30-28=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 30-28=2 Current State: 12:[24, 2], Operations: ['63-33=30', '30-28=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 21, 6, 2, 5 ]
59
[ "21+6=27", "2*27=54", "5+54=59" ]
Current State: 59:[21, 6, 2, 5], Operations: [] Exploring Operation: 21+6=27, Resulting Numbers: [2, 5, 27] Generated Node #2: [2, 5, 27] from Operation: 21+6=27 Current State: 59:[2, 5, 27], Operations: ['21+6=27'] Exploring Operation: 2*27=54, Resulting Numbers: [5, 54] Generated Node #3: [5, 54] from Operation: 2*27=54 Current State: 59:[5, 54], Operations: ['21+6=27', '2*27=54'] Exploring Operation: 5+54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 44, 54, 28, 82 ]
12
[ "44+54=98", "28+82=110", "110-98=12" ]
Current State: 12:[44, 54, 28, 82], Operations: [] Exploring Operation: 44+54=98, Resulting Numbers: [28, 82, 98] Generated Node #2: [28, 82, 98] from Operation: 44+54=98 Current State: 12:[28, 82, 98], Operations: ['44+54=98'] Exploring Operation: 28+82=110, Resulting Numbers: [98, 110] Generated Node #3: [98, 110] from Operation: 28+82=110 Current State: 12:[98, 110], Operations: ['44+54=98', '28+82=110'] Exploring Operation: 110-98=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 63, 66, 41, 34 ]
57
[ "41-34=7", "63/7=9", "66-9=57" ]
Current State: 57:[63, 66, 41, 34], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [63, 66, 7] Generated Node #2: [63, 66, 7] from Operation: 41-34=7 Current State: 57:[63, 66, 7], Operations: ['41-34=7'] Exploring Operation: 63/7=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 63/7=9 Current State: 57:[66, 9], Operations: ['41-34=7', '63/7=9'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 73, 6, 7, 47 ]
39
[ "73+6=79", "47-7=40", "79-40=39" ]
Current State: 39:[73, 6, 7, 47], Operations: [] Exploring Operation: 73+6=79, Resulting Numbers: [7, 47, 79] Generated Node #2: [7, 47, 79] from Operation: 73+6=79 Current State: 39:[7, 47, 79], Operations: ['73+6=79'] Exploring Operation: 47-7=40, Resulting Numbers: [79, 40] Generated Node #3: [79, 40] from Operation: 47-7=40 Current State: 39:[79, 40], Operations: ['73+6=79', '47-7=40'] Exploring Operation: 79-40=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 77, 96, 74, 64 ]
35
[ "77+96=173", "74+64=138", "173-138=35" ]
Current State: 35:[77, 96, 74, 64], Operations: [] Exploring Operation: 77+96=173, Resulting Numbers: [74, 64, 173] Generated Node #2: [74, 64, 173] from Operation: 77+96=173 Current State: 35:[74, 64, 173], Operations: ['77+96=173'] Exploring Operation: 74+64=138, Resulting Numbers: [173, 138] Generated Node #3: [173, 138] from Operation: 74+64=138 Current State: 35:[173, 138], Operations: ['77+96=173', '74+64=138'] Exploring Operation: 173-138=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 34, 81, 81, 8 ]
43
[ "34+8=42", "81/81=1", "42+1=43" ]
Current State: 43:[34, 81, 81, 8], Operations: [] Exploring Operation: 34+8=42, Resulting Numbers: [81, 81, 42] Generated Node #2: [81, 81, 42] from Operation: 34+8=42 Current State: 43:[81, 81, 42], Operations: ['34+8=42'] Exploring Operation: 81/81=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 81/81=1 Current State: 43:[42, 1], Operations: ['34+8=42', '81/81=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 98, 16, 14, 22 ]
31
[ "98/14=7", "16+22=38", "38-7=31" ]
Current State: 31:[98, 16, 14, 22], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [16, 22, 7] Generated Node #2: [16, 22, 7] from Operation: 98/14=7 Current State: 31:[16, 22, 7], Operations: ['98/14=7'] Exploring Operation: 16+22=38, Resulting Numbers: [7, 38] Generated Node #3: [7, 38] from Operation: 16+22=38 Current State: 31:[7, 38], Operations: ['98/14=7', '16+22=38'] Exploring Operation: 38-7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 10, 1, 92 ]
61
[ "40-10=30", "92-1=91", "91-30=61" ]
Current State: 61:[40, 10, 1, 92], Operations: [] Exploring Operation: 40-10=30, Resulting Numbers: [1, 92, 30] Generated Node #2: [1, 92, 30] from Operation: 40-10=30 Current State: 61:[1, 92, 30], Operations: ['40-10=30'] Exploring Operation: 92-1=91, Resulting Numbers: [30, 91] Generated Node #3: [30, 91] from Operation: 92-1=91 Current State: 61:[30, 91], Operations: ['40-10=30', '92-1=91'] Exploring Operation: 91-30=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 76, 31, 81, 15 ]
34
[ "81-76=5", "15/5=3", "31+3=34" ]
Current State: 34:[76, 31, 81, 15], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [31, 15, 5] Generated Node #2: [31, 15, 5] from Operation: 81-76=5 Current State: 34:[31, 15, 5], Operations: ['81-76=5'] Exploring Operation: 15/5=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 15/5=3 Current State: 34:[31, 3], Operations: ['81-76=5', '15/5=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 59, 51, 76, 48 ]
45
[ "59+76=135", "51-48=3", "135/3=45" ]
Current State: 45:[59, 51, 76, 48], Operations: [] Exploring Operation: 59+76=135, Resulting Numbers: [51, 48, 135] Generated Node #2: [51, 48, 135] from Operation: 59+76=135 Current State: 45:[51, 48, 135], Operations: ['59+76=135'] Exploring Operation: 51-48=3, Resulting Numbers: [135, 3] Generated Node #3: [135, 3] from Operation: 51-48=3 Current State: 45:[135, 3], Operations: ['59+76=135', '51-48=3'] Exploring Operation: 135/3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 28, 19, 26, 48 ]
84
[ "19+26=45", "48-45=3", "28*3=84" ]
Current State: 84:[28, 19, 26, 48], Operations: [] Exploring Operation: 19+26=45, Resulting Numbers: [28, 48, 45] Generated Node #2: [28, 48, 45] from Operation: 19+26=45 Current State: 84:[28, 48, 45], Operations: ['19+26=45'] Exploring Operation: 48-45=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 48-45=3 Current State: 84:[28, 3], Operations: ['19+26=45', '48-45=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 93, 3, 65, 86 ]
86
[ "93-86=7", "3*7=21", "65+21=86" ]
Current State: 86:[93, 3, 65, 86], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [3, 65, 7] Generated Node #2: [3, 65, 7] from Operation: 93-86=7 Current State: 86:[3, 65, 7], Operations: ['93-86=7'] Exploring Operation: 3*7=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 3*7=21 Current State: 86:[65, 21], Operations: ['93-86=7', '3*7=21'] Exploring Operation: 65+21=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 83, 52, 50 ]
25
[ "83-29=54", "54-52=2", "50/2=25" ]
Current State: 25:[29, 83, 52, 50], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [52, 50, 54] Generated Node #2: [52, 50, 54] from Operation: 83-29=54 Current State: 25:[52, 50, 54], Operations: ['83-29=54'] Exploring Operation: 54-52=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 54-52=2 Current State: 25:[50, 2], Operations: ['83-29=54', '54-52=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 38, 25, 62 ]
80
[ "79+38=117", "62-25=37", "117-37=80" ]
Current State: 80:[79, 38, 25, 62], Operations: [] Exploring Operation: 79+38=117, Resulting Numbers: [25, 62, 117] Generated Node #2: [25, 62, 117] from Operation: 79+38=117 Current State: 80:[25, 62, 117], Operations: ['79+38=117'] Exploring Operation: 62-25=37, Resulting Numbers: [117, 37] Generated Node #3: [117, 37] from Operation: 62-25=37 Current State: 80:[117, 37], Operations: ['79+38=117', '62-25=37'] Exploring Operation: 117-37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 33, 17, 13, 9 ]
38
[ "33-17=16", "13+9=22", "16+22=38" ]
Current State: 38:[33, 17, 13, 9], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [13, 9, 16] Generated Node #2: [13, 9, 16] from Operation: 33-17=16 Current State: 38:[13, 9, 16], Operations: ['33-17=16'] Exploring Operation: 13+9=22, Resulting Numbers: [16, 22] Generated Node #3: [16, 22] from Operation: 13+9=22 Current State: 38:[16, 22], Operations: ['33-17=16', '13+9=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 4, 9, 46 ]
12
[ "14+46=60", "9-4=5", "60/5=12" ]
Current State: 12:[14, 4, 9, 46], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [4, 9, 60] Generated Node #2: [4, 9, 60] from Operation: 14+46=60 Current State: 12:[4, 9, 60], Operations: ['14+46=60'] Exploring Operation: 9-4=5, Resulting Numbers: [60, 5] Generated Node #3: [60, 5] from Operation: 9-4=5 Current State: 12:[60, 5], Operations: ['14+46=60', '9-4=5'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 88, 84, 84 ]
51
[ "88-37=51", "84-84=0", "51+0=51" ]
Current State: 51:[37, 88, 84, 84], Operations: [] Exploring Operation: 88-37=51, Resulting Numbers: [84, 84, 51] Generated Node #2: [84, 84, 51] from Operation: 88-37=51 Current State: 51:[84, 84, 51], Operations: ['88-37=51'] Exploring Operation: 84-84=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 84-84=0 Current State: 51:[51, 0], Operations: ['88-37=51', '84-84=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 20, 2, 61, 55 ]
68
[ "20+61=81", "55+81=136", "136/2=68" ]
Current State: 68:[20, 2, 61, 55], Operations: [] Exploring Operation: 20+61=81, Resulting Numbers: [2, 55, 81] Generated Node #2: [2, 55, 81] from Operation: 20+61=81 Current State: 68:[2, 55, 81], Operations: ['20+61=81'] Exploring Operation: 55+81=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 55+81=136 Current State: 68:[2, 136], Operations: ['20+61=81', '55+81=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 65, 24, 45, 83 ]
60
[ "83-65=18", "24*45=1080", "1080/18=60" ]
Current State: 60:[65, 24, 45, 83], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [24, 45, 18] Generated Node #2: [24, 45, 18] from Operation: 83-65=18 Current State: 60:[24, 45, 18], Operations: ['83-65=18'] Exploring Operation: 24*45=1080, Resulting Numbers: [18, 1080] Generated Node #3: [18, 1080] from Operation: 24*45=1080 Current State: 60:[18, 1080], Operations: ['83-65=18', '24*45=1080'] Exploring Operation: 1080/18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 71, 35, 7 ]
43
[ "49/7=7", "71-35=36", "7+36=43" ]
Current State: 43:[49, 71, 35, 7], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [71, 35, 7] Generated Node #2: [71, 35, 7] from Operation: 49/7=7 Current State: 43:[71, 35, 7], Operations: ['49/7=7'] Exploring Operation: 71-35=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 71-35=36 Current State: 43:[7, 36], Operations: ['49/7=7', '71-35=36'] Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 3, 45, 73 ]
90
[ "59+3=62", "73-45=28", "62+28=90" ]
Current State: 90:[59, 3, 45, 73], Operations: [] Exploring Operation: 59+3=62, Resulting Numbers: [45, 73, 62] Generated Node #2: [45, 73, 62] from Operation: 59+3=62 Current State: 90:[45, 73, 62], Operations: ['59+3=62'] Exploring Operation: 73-45=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 73-45=28 Current State: 90:[62, 28], Operations: ['59+3=62', '73-45=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 9, 71, 4, 51 ]
71
[ "9+71=80", "80/4=20", "51+20=71" ]
Current State: 71:[9, 71, 4, 51], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [4, 51, 80] Generated Node #2: [4, 51, 80] from Operation: 9+71=80 Current State: 71:[4, 51, 80], Operations: ['9+71=80'] Exploring Operation: 80/4=20, Resulting Numbers: [51, 20] Generated Node #3: [51, 20] from Operation: 80/4=20 Current State: 71:[51, 20], Operations: ['9+71=80', '80/4=20'] Exploring Operation: 51+20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 99, 68, 49, 3 ]
14
[ "99/3=33", "68-49=19", "33-19=14" ]
Current State: 14:[99, 68, 49, 3], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [68, 49, 33] Generated Node #2: [68, 49, 33] from Operation: 99/3=33 Current State: 14:[68, 49, 33], Operations: ['99/3=33'] Exploring Operation: 68-49=19, Resulting Numbers: [33, 19] Generated Node #3: [33, 19] from Operation: 68-49=19 Current State: 14:[33, 19], Operations: ['99/3=33', '68-49=19'] Exploring Operation: 33-19=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 84, 3, 45 ]
72
[ "55+45=100", "84/3=28", "100-28=72" ]
Current State: 72:[55, 84, 3, 45], Operations: [] Exploring Operation: 55+45=100, Resulting Numbers: [84, 3, 100] Generated Node #2: [84, 3, 100] from Operation: 55+45=100 Current State: 72:[84, 3, 100], Operations: ['55+45=100'] Exploring Operation: 84/3=28, Resulting Numbers: [100, 28] Generated Node #3: [100, 28] from Operation: 84/3=28 Current State: 72:[100, 28], Operations: ['55+45=100', '84/3=28'] Exploring Operation: 100-28=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 4, 90, 64 ]
54
[ "64-55=9", "4*9=36", "90-36=54" ]
Current State: 54:[55, 4, 90, 64], Operations: [] Exploring Operation: 64-55=9, Resulting Numbers: [4, 90, 9] Generated Node #2: [4, 90, 9] from Operation: 64-55=9 Current State: 54:[4, 90, 9], Operations: ['64-55=9'] Exploring Operation: 4*9=36, Resulting Numbers: [90, 36] Generated Node #3: [90, 36] from Operation: 4*9=36 Current State: 54:[90, 36], Operations: ['64-55=9', '4*9=36'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 55, 2, 73 ]
77
[ "73-7=66", "2*66=132", "132-55=77" ]
Current State: 77:[7, 55, 2, 73], Operations: [] Exploring Operation: 73-7=66, Resulting Numbers: [55, 2, 66] Generated Node #2: [55, 2, 66] from Operation: 73-7=66 Current State: 77:[55, 2, 66], Operations: ['73-7=66'] Exploring Operation: 2*66=132, Resulting Numbers: [55, 132] Generated Node #3: [55, 132] from Operation: 2*66=132 Current State: 77:[55, 132], Operations: ['73-7=66', '2*66=132'] Exploring Operation: 132-55=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 47, 29, 32, 85 ]
44
[ "47+85=132", "32-29=3", "132/3=44" ]
Current State: 44:[47, 29, 32, 85], Operations: [] Exploring Operation: 47+85=132, Resulting Numbers: [29, 32, 132] Generated Node #2: [29, 32, 132] from Operation: 47+85=132 Current State: 44:[29, 32, 132], Operations: ['47+85=132'] Exploring Operation: 32-29=3, Resulting Numbers: [132, 3] Generated Node #3: [132, 3] from Operation: 32-29=3 Current State: 44:[132, 3], Operations: ['47+85=132', '32-29=3'] Exploring Operation: 132/3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 32, 30, 86, 36 ]
100
[ "32-30=2", "86-36=50", "2*50=100" ]
Current State: 100:[32, 30, 86, 36], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [86, 36, 2] Generated Node #2: [86, 36, 2] from Operation: 32-30=2 Current State: 100:[86, 36, 2], Operations: ['32-30=2'] Exploring Operation: 86-36=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 86-36=50 Current State: 100:[2, 50], Operations: ['32-30=2', '86-36=50'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 29, 56, 85, 54 ]
28
[ "85-29=56", "56-54=2", "56/2=28" ]
Current State: 28:[29, 56, 85, 54], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [56, 54, 56] Generated Node #2: [56, 54, 56] from Operation: 85-29=56 Current State: 28:[56, 54, 56], Operations: ['85-29=56'] Exploring Operation: 56-54=2, Resulting Numbers: [2] 2,28 equal: Goal Reached Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 22, 64, 20, 66 ]
68
[ "22-20=2", "66*2=132", "132-64=68" ]
Current State: 68:[22, 64, 20, 66], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [64, 66, 2] Generated Node #2: [64, 66, 2] from Operation: 22-20=2 Current State: 68:[64, 66, 2], Operations: ['22-20=2'] Exploring Operation: 66*2=132, Resulting Numbers: [64, 132] Generated Node #3: [64, 132] from Operation: 66*2=132 Current State: 68:[64, 132], Operations: ['22-20=2', '66*2=132'] Exploring Operation: 132-64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 59, 62, 5, 70 ]
35
[ "62-59=3", "5-3=2", "70/2=35" ]
Current State: 35:[59, 62, 5, 70], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [5, 70, 3] Generated Node #2: [5, 70, 3] from Operation: 62-59=3 Current State: 35:[5, 70, 3], Operations: ['62-59=3'] Exploring Operation: 5-3=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 5-3=2 Current State: 35:[70, 2], Operations: ['62-59=3', '5-3=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 21, 88, 4 ]
77
[ "21-6=15", "88+4=92", "92-15=77" ]
Current State: 77:[6, 21, 88, 4], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [88, 4, 15] Generated Node #2: [88, 4, 15] from Operation: 21-6=15 Current State: 77:[88, 4, 15], Operations: ['21-6=15'] Exploring Operation: 88+4=92, Resulting Numbers: [15, 92] Generated Node #3: [15, 92] from Operation: 88+4=92 Current State: 77:[15, 92], Operations: ['21-6=15', '88+4=92'] Exploring Operation: 92-15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 12, 86, 23, 6 ]
91
[ "86-12=74", "23-6=17", "74+17=91" ]
Current State: 91:[12, 86, 23, 6], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [23, 6, 74] Generated Node #2: [23, 6, 74] from Operation: 86-12=74 Current State: 91:[23, 6, 74], Operations: ['86-12=74'] Exploring Operation: 23-6=17, Resulting Numbers: [74, 17] Generated Node #3: [74, 17] from Operation: 23-6=17 Current State: 91:[74, 17], Operations: ['86-12=74', '23-6=17'] Exploring Operation: 74+17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 4, 57, 86 ]
70
[ "7+57=64", "64/4=16", "86-16=70" ]
Current State: 70:[7, 4, 57, 86], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [4, 86, 64] Generated Node #2: [4, 86, 64] from Operation: 7+57=64 Current State: 70:[4, 86, 64], Operations: ['7+57=64'] Exploring Operation: 64/4=16, Resulting Numbers: [86, 16] Generated Node #3: [86, 16] from Operation: 64/4=16 Current State: 70:[86, 16], Operations: ['7+57=64', '64/4=16'] Exploring Operation: 86-16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 96, 6, 7, 48 ]
21
[ "96/6=16", "7*48=336", "336/16=21" ]
Current State: 21:[96, 6, 7, 48], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [7, 48, 16] Generated Node #2: [7, 48, 16] from Operation: 96/6=16 Current State: 21:[7, 48, 16], Operations: ['96/6=16'] Exploring Operation: 7*48=336, Resulting Numbers: [16, 336] Generated Node #3: [16, 336] from Operation: 7*48=336 Current State: 21:[16, 336], Operations: ['96/6=16', '7*48=336'] Exploring Operation: 336/16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 91, 22, 93, 21 ]
86
[ "93-91=2", "22+21=43", "2*43=86" ]
Current State: 86:[91, 22, 93, 21], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [22, 21, 2] Generated Node #2: [22, 21, 2] from Operation: 93-91=2 Current State: 86:[22, 21, 2], Operations: ['93-91=2'] Exploring Operation: 22+21=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 22+21=43 Current State: 86:[2, 43], Operations: ['93-91=2', '22+21=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 34, 29, 15, 32 ]
57
[ "34-15=19", "32-29=3", "19*3=57" ]
Current State: 57:[34, 29, 15, 32], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [29, 32, 19] Generated Node #2: [29, 32, 19] from Operation: 34-15=19 Current State: 57:[29, 32, 19], Operations: ['34-15=19'] Exploring Operation: 32-29=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 32-29=3 Current State: 57:[19, 3], Operations: ['34-15=19', '32-29=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 1, 27, 28 ]
28
[ "83*1=83", "27+28=55", "83-55=28" ]
Current State: 28:[83, 1, 27, 28], Operations: [] Exploring Operation: 83*1=83, Resulting Numbers: [27, 28, 83] Generated Node #2: [27, 28, 83] from Operation: 83*1=83 Current State: 28:[27, 28, 83], Operations: ['83*1=83'] Exploring Operation: 27+28=55, Resulting Numbers: [83, 55] Generated Node #3: [83, 55] from Operation: 27+28=55 Current State: 28:[83, 55], Operations: ['83*1=83', '27+28=55'] Exploring Operation: 83-55=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 25, 59, 15 ]
80
[ "59-57=2", "25+15=40", "2*40=80" ]
Current State: 80:[57, 25, 59, 15], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [25, 15, 2] Generated Node #2: [25, 15, 2] from Operation: 59-57=2 Current State: 80:[25, 15, 2], Operations: ['59-57=2'] Exploring Operation: 25+15=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 25+15=40 Current State: 80:[2, 40], Operations: ['59-57=2', '25+15=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 85, 47, 37, 69 ]
68
[ "85-47=38", "37+69=106", "106-38=68" ]
Current State: 68:[85, 47, 37, 69], Operations: [] Exploring Operation: 85-47=38, Resulting Numbers: [37, 69, 38] Generated Node #2: [37, 69, 38] from Operation: 85-47=38 Current State: 68:[37, 69, 38], Operations: ['85-47=38'] Exploring Operation: 37+69=106, Resulting Numbers: [38, 106] Generated Node #3: [38, 106] from Operation: 37+69=106 Current State: 68:[38, 106], Operations: ['85-47=38', '37+69=106'] Exploring Operation: 106-38=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 82, 87, 1, 59 ]
64
[ "87-82=5", "1*59=59", "5+59=64" ]
Current State: 64:[82, 87, 1, 59], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [1, 59, 5] Generated Node #2: [1, 59, 5] from Operation: 87-82=5 Current State: 64:[1, 59, 5], Operations: ['87-82=5'] Exploring Operation: 1*59=59, Resulting Numbers: [5, 59] Generated Node #3: [5, 59] from Operation: 1*59=59 Current State: 64:[5, 59], Operations: ['87-82=5', '1*59=59'] Exploring Operation: 5+59=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 78, 6, 85, 50 ]
63
[ "78-6=72", "85+50=135", "135-72=63" ]
Current State: 63:[78, 6, 85, 50], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [85, 50, 72] Generated Node #2: [85, 50, 72] from Operation: 78-6=72 Current State: 63:[85, 50, 72], Operations: ['78-6=72'] Exploring Operation: 85+50=135, Resulting Numbers: [72, 135] Generated Node #3: [72, 135] from Operation: 85+50=135 Current State: 63:[72, 135], Operations: ['78-6=72', '85+50=135'] Exploring Operation: 135-72=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 45, 27, 6 ]
51
[ "45-27=18", "6*18=108", "108-57=51" ]
Current State: 51:[57, 45, 27, 6], Operations: [] Exploring Operation: 45-27=18, Resulting Numbers: [57, 6, 18] Generated Node #2: [57, 6, 18] from Operation: 45-27=18 Current State: 51:[57, 6, 18], Operations: ['45-27=18'] Exploring Operation: 6*18=108, Resulting Numbers: [57, 108] Generated Node #3: [57, 108] from Operation: 6*18=108 Current State: 51:[57, 108], Operations: ['45-27=18', '6*18=108'] Exploring Operation: 108-57=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 13, 79, 57 ]
12
[ "57-50=7", "13*7=91", "91-79=12" ]
Current State: 12:[50, 13, 79, 57], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [13, 79, 7] Generated Node #2: [13, 79, 7] from Operation: 57-50=7 Current State: 12:[13, 79, 7], Operations: ['57-50=7'] Exploring Operation: 13*7=91, Resulting Numbers: [79, 91] Generated Node #3: [79, 91] from Operation: 13*7=91 Current State: 12:[79, 91], Operations: ['57-50=7', '13*7=91'] Exploring Operation: 91-79=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 28, 24, 32, 80 ]
38
[ "32-24=8", "80/8=10", "28+10=38" ]
Current State: 38:[28, 24, 32, 80], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [28, 80, 8] Generated Node #2: [28, 80, 8] from Operation: 32-24=8 Current State: 38:[28, 80, 8], Operations: ['32-24=8'] Exploring Operation: 80/8=10, Resulting Numbers: [28, 10] Generated Node #3: [28, 10] from Operation: 80/8=10 Current State: 38:[28, 10], Operations: ['32-24=8', '80/8=10'] Exploring Operation: 28+10=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 54, 23, 60 ]
69
[ "3+54=57", "60-57=3", "23*3=69" ]
Current State: 69:[3, 54, 23, 60], Operations: [] Exploring Operation: 3+54=57, Resulting Numbers: [23, 60, 57] Generated Node #2: [23, 60, 57] from Operation: 3+54=57 Current State: 69:[23, 60, 57], Operations: ['3+54=57'] Exploring Operation: 60-57=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 60-57=3 Current State: 69:[23, 3], Operations: ['3+54=57', '60-57=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 49, 52, 4, 16 ]
76
[ "52-49=3", "16+3=19", "4*19=76" ]
Current State: 76:[49, 52, 4, 16], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [4, 16, 3] Generated Node #2: [4, 16, 3] from Operation: 52-49=3 Current State: 76:[4, 16, 3], Operations: ['52-49=3'] Exploring Operation: 16+3=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 16+3=19 Current State: 76:[4, 19], Operations: ['52-49=3', '16+3=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 87, 47, 2, 78 ]
76
[ "87-47=40", "78-40=38", "2*38=76" ]
Current State: 76:[87, 47, 2, 78], Operations: [] Exploring Operation: 87-47=40, Resulting Numbers: [2, 78, 40] Generated Node #2: [2, 78, 40] from Operation: 87-47=40 Current State: 76:[2, 78, 40], Operations: ['87-47=40'] Exploring Operation: 78-40=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 78-40=38 Current State: 76:[2, 38], Operations: ['87-47=40', '78-40=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 72, 53, 72 ]
83
[ "30+72=102", "72-53=19", "102-19=83" ]
Current State: 83:[30, 72, 53, 72], Operations: [] Exploring Operation: 30+72=102, Resulting Numbers: [53, 102] Generated Node #2: [53, 102] from Operation: 30+72=102 Current State: 83:[53, 102], Operations: ['30+72=102'] Exploring Operation: 72-53=19, Resulting Numbers: [102, 19] Generated Node #3: [102, 19] from Operation: 72-53=19 Current State: 83:[102, 19], Operations: ['30+72=102', '72-53=19'] Exploring Operation: 102-19=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 7, 93, 54 ]
94
[ "93-91=2", "54-7=47", "2*47=94" ]
Current State: 94:[91, 7, 93, 54], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [7, 54, 2] Generated Node #2: [7, 54, 2] from Operation: 93-91=2 Current State: 94:[7, 54, 2], Operations: ['93-91=2'] Exploring Operation: 54-7=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 54-7=47 Current State: 94:[2, 47], Operations: ['93-91=2', '54-7=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 90, 5, 29, 75 ]
35
[ "90*5=450", "450/75=6", "29+6=35" ]
Current State: 35:[90, 5, 29, 75], Operations: [] Exploring Operation: 90*5=450, Resulting Numbers: [29, 75, 450] Generated Node #2: [29, 75, 450] from Operation: 90*5=450 Current State: 35:[29, 75, 450], Operations: ['90*5=450'] Exploring Operation: 450/75=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 450/75=6 Current State: 35:[29, 6], Operations: ['90*5=450', '450/75=6'] Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 79, 84, 72 ]
97
[ "84/21=4", "72/4=18", "79+18=97" ]
Current State: 97:[21, 79, 84, 72], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [79, 72, 4] Generated Node #2: [79, 72, 4] from Operation: 84/21=4 Current State: 97:[79, 72, 4], Operations: ['84/21=4'] Exploring Operation: 72/4=18, Resulting Numbers: [79, 18] Generated Node #3: [79, 18] from Operation: 72/4=18 Current State: 97:[79, 18], Operations: ['84/21=4', '72/4=18'] Exploring Operation: 79+18=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 6, 65, 26 ]
84
[ "1+6=7", "65+26=91", "91-7=84" ]
Current State: 84:[1, 6, 65, 26], Operations: [] Exploring Operation: 1+6=7, Resulting Numbers: [65, 26, 7] Generated Node #2: [65, 26, 7] from Operation: 1+6=7 Current State: 84:[65, 26, 7], Operations: ['1+6=7'] Exploring Operation: 65+26=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 65+26=91 Current State: 84:[7, 91], Operations: ['1+6=7', '65+26=91'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 29, 3, 27 ]
11
[ "31+29=60", "60-27=33", "33/3=11" ]
Current State: 11:[31, 29, 3, 27], Operations: [] Exploring Operation: 31+29=60, Resulting Numbers: [3, 27, 60] Generated Node #2: [3, 27, 60] from Operation: 31+29=60 Current State: 11:[3, 27, 60], Operations: ['31+29=60'] Exploring Operation: 60-27=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 60-27=33 Current State: 11:[3, 33], Operations: ['31+29=60', '60-27=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 20, 75, 49, 45 ]
39
[ "75-20=55", "49+45=94", "94-55=39" ]
Current State: 39:[20, 75, 49, 45], Operations: [] Exploring Operation: 75-20=55, Resulting Numbers: [49, 45, 55] Generated Node #2: [49, 45, 55] from Operation: 75-20=55 Current State: 39:[49, 45, 55], Operations: ['75-20=55'] Exploring Operation: 49+45=94, Resulting Numbers: [55, 94] Generated Node #3: [55, 94] from Operation: 49+45=94 Current State: 39:[55, 94], Operations: ['75-20=55', '49+45=94'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 16, 90, 29 ]
62
[ "16/16=1", "90-29=61", "1+61=62" ]
Current State: 62:[16, 16, 90, 29], Operations: [] Exploring Operation: 16/16=1, Resulting Numbers: [90, 29, 1] Generated Node #2: [90, 29, 1] from Operation: 16/16=1 Current State: 62:[90, 29, 1], Operations: ['16/16=1'] Exploring Operation: 90-29=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 90-29=61 Current State: 62:[1, 61], Operations: ['16/16=1', '90-29=61'] Exploring Operation: 1+61=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 22, 74, 45, 63 ]
56
[ "74-22=52", "45+63=108", "108-52=56" ]
Current State: 56:[22, 74, 45, 63], Operations: [] Exploring Operation: 74-22=52, Resulting Numbers: [45, 63, 52] Generated Node #2: [45, 63, 52] from Operation: 74-22=52 Current State: 56:[45, 63, 52], Operations: ['74-22=52'] Exploring Operation: 45+63=108, Resulting Numbers: [52, 108] Generated Node #3: [52, 108] from Operation: 45+63=108 Current State: 56:[52, 108], Operations: ['74-22=52', '45+63=108'] Exploring Operation: 108-52=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 43, 82, 56, 46 ]
86
[ "46-43=3", "56*3=168", "168-82=86" ]
Current State: 86:[43, 82, 56, 46], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [82, 56, 3] Generated Node #2: [82, 56, 3] from Operation: 46-43=3 Current State: 86:[82, 56, 3], Operations: ['46-43=3'] Exploring Operation: 56*3=168, Resulting Numbers: [82, 168] Generated Node #3: [82, 168] from Operation: 56*3=168 Current State: 86:[82, 168], Operations: ['46-43=3', '56*3=168'] Exploring Operation: 168-82=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 37, 49, 31, 17 ]
10
[ "31*17=527", "527-37=490", "490/49=10" ]
Current State: 10:[37, 49, 31, 17], Operations: [] Exploring Operation: 31*17=527, Resulting Numbers: [37, 49, 527] Generated Node #2: [37, 49, 527] from Operation: 31*17=527 Current State: 10:[37, 49, 527], Operations: ['31*17=527'] Exploring Operation: 527-37=490, Resulting Numbers: [49, 490] Generated Node #3: [49, 490] from Operation: 527-37=490 Current State: 10:[49, 490], Operations: ['31*17=527', '527-37=490'] Exploring Operation: 490/49=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 31, 26, 15, 77 ]
87
[ "31-26=5", "15+77=92", "92-5=87" ]
Current State: 87:[31, 26, 15, 77], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [15, 77, 5] Generated Node #2: [15, 77, 5] from Operation: 31-26=5 Current State: 87:[15, 77, 5], Operations: ['31-26=5'] Exploring Operation: 15+77=92, Resulting Numbers: [5, 92] Generated Node #3: [5, 92] from Operation: 15+77=92 Current State: 87:[5, 92], Operations: ['31-26=5', '15+77=92'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 82, 18, 47 ]
97
[ "90-82=8", "18*8=144", "144-47=97" ]
Current State: 97:[90, 82, 18, 47], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [18, 47, 8] Generated Node #2: [18, 47, 8] from Operation: 90-82=8 Current State: 97:[18, 47, 8], Operations: ['90-82=8'] Exploring Operation: 18*8=144, Resulting Numbers: [47, 144] Generated Node #3: [47, 144] from Operation: 18*8=144 Current State: 97:[47, 144], Operations: ['90-82=8', '18*8=144'] Exploring Operation: 144-47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 7, 79, 28 ]
74
[ "20*7=140", "140/28=5", "79-5=74" ]
Current State: 74:[20, 7, 79, 28], Operations: [] Exploring Operation: 20*7=140, Resulting Numbers: [79, 28, 140] Generated Node #2: [79, 28, 140] from Operation: 20*7=140 Current State: 74:[79, 28, 140], Operations: ['20*7=140'] Exploring Operation: 140/28=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 140/28=5 Current State: 74:[79, 5], Operations: ['20*7=140', '140/28=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 62, 65, 9, 47 ]
100
[ "65-47=18", "9*18=162", "162-62=100" ]
Current State: 100:[62, 65, 9, 47], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [62, 9, 18] Generated Node #2: [62, 9, 18] from Operation: 65-47=18 Current State: 100:[62, 9, 18], Operations: ['65-47=18'] Exploring Operation: 9*18=162, Resulting Numbers: [62, 162] Generated Node #3: [62, 162] from Operation: 9*18=162 Current State: 100:[62, 162], Operations: ['65-47=18', '9*18=162'] Exploring Operation: 162-62=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 45, 66, 90 ]
42
[ "18+66=84", "90/45=2", "84/2=42" ]
Current State: 42:[18, 45, 66, 90], Operations: [] Exploring Operation: 18+66=84, Resulting Numbers: [45, 90, 84] Generated Node #2: [45, 90, 84] from Operation: 18+66=84 Current State: 42:[45, 90, 84], Operations: ['18+66=84'] Exploring Operation: 90/45=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 90/45=2 Current State: 42:[84, 2], Operations: ['18+66=84', '90/45=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 46, 79, 43 ]
88
[ "46-43=3", "3*3=9", "79+9=88" ]
Current State: 88:[3, 46, 79, 43], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [3, 79, 3] Generated Node #2: [3, 79, 3] from Operation: 46-43=3 Current State: 88:[3, 79, 3], Operations: ['46-43=3'] Exploring Operation: 3*3=9, Resulting Numbers: [79, 9] Generated Node #3: [79, 9] from Operation: 3*3=9 Current State: 88:[79, 9], Operations: ['46-43=3', '3*3=9'] Exploring Operation: 79+9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 40, 76, 10 ]
12
[ "78-40=38", "76/38=2", "10+2=12" ]
Current State: 12:[78, 40, 76, 10], Operations: [] Exploring Operation: 78-40=38, Resulting Numbers: [76, 10, 38] Generated Node #2: [76, 10, 38] from Operation: 78-40=38 Current State: 12:[76, 10, 38], Operations: ['78-40=38'] Exploring Operation: 76/38=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 76/38=2 Current State: 12:[10, 2], Operations: ['78-40=38', '76/38=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 63, 21, 29, 81 ]
94
[ "63-21=42", "81-29=52", "42+52=94" ]
Current State: 94:[63, 21, 29, 81], Operations: [] Exploring Operation: 63-21=42, Resulting Numbers: [29, 81, 42] Generated Node #2: [29, 81, 42] from Operation: 63-21=42 Current State: 94:[29, 81, 42], Operations: ['63-21=42'] Exploring Operation: 81-29=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 81-29=52 Current State: 94:[42, 52], Operations: ['63-21=42', '81-29=52'] Exploring Operation: 42+52=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 69, 73, 13 ]
25
[ "16+69=85", "73-13=60", "85-60=25" ]
Current State: 25:[16, 69, 73, 13], Operations: [] Exploring Operation: 16+69=85, Resulting Numbers: [73, 13, 85] Generated Node #2: [73, 13, 85] from Operation: 16+69=85 Current State: 25:[73, 13, 85], Operations: ['16+69=85'] Exploring Operation: 73-13=60, Resulting Numbers: [85, 60] Generated Node #3: [85, 60] from Operation: 73-13=60 Current State: 25:[85, 60], Operations: ['16+69=85', '73-13=60'] Exploring Operation: 85-60=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 43, 44, 45, 18 ]
24
[ "43+44=87", "45+18=63", "87-63=24" ]
Current State: 24:[43, 44, 45, 18], Operations: [] Exploring Operation: 43+44=87, Resulting Numbers: [45, 18, 87] Generated Node #2: [45, 18, 87] from Operation: 43+44=87 Current State: 24:[45, 18, 87], Operations: ['43+44=87'] Exploring Operation: 45+18=63, Resulting Numbers: [87, 63] Generated Node #3: [87, 63] from Operation: 45+18=63 Current State: 24:[87, 63], Operations: ['43+44=87', '45+18=63'] Exploring Operation: 87-63=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 23, 93, 2, 25 ]
60
[ "93-23=70", "70/2=35", "25+35=60" ]
Current State: 60:[23, 93, 2, 25], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [2, 25, 70] Generated Node #2: [2, 25, 70] from Operation: 93-23=70 Current State: 60:[2, 25, 70], Operations: ['93-23=70'] Exploring Operation: 70/2=35, Resulting Numbers: [25, 35] Generated Node #3: [25, 35] from Operation: 70/2=35 Current State: 60:[25, 35], Operations: ['93-23=70', '70/2=35'] Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 76, 61, 33, 30 ]
45
[ "76-61=15", "33-30=3", "15*3=45" ]
Current State: 45:[76, 61, 33, 30], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [33, 30, 15] Generated Node #2: [33, 30, 15] from Operation: 76-61=15 Current State: 45:[33, 30, 15], Operations: ['76-61=15'] Exploring Operation: 33-30=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 33-30=3 Current State: 45:[15, 3], Operations: ['76-61=15', '33-30=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 97, 99, 71, 90 ]
52
[ "99-97=2", "71*2=142", "142-90=52" ]
Current State: 52:[97, 99, 71, 90], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [71, 90, 2] Generated Node #2: [71, 90, 2] from Operation: 99-97=2 Current State: 52:[71, 90, 2], Operations: ['99-97=2'] Exploring Operation: 71*2=142, Resulting Numbers: [90, 142] Generated Node #3: [90, 142] from Operation: 71*2=142 Current State: 52:[90, 142], Operations: ['99-97=2', '71*2=142'] Exploring Operation: 142-90=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 44, 17, 87, 73 ]
51
[ "73-44=29", "17*87=1479", "1479/29=51" ]
Current State: 51:[44, 17, 87, 73], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [17, 87, 29] Generated Node #2: [17, 87, 29] from Operation: 73-44=29 Current State: 51:[17, 87, 29], Operations: ['73-44=29'] Exploring Operation: 17*87=1479, Resulting Numbers: [29, 1479] Generated Node #3: [29, 1479] from Operation: 17*87=1479 Current State: 51:[29, 1479], Operations: ['73-44=29', '17*87=1479'] Exploring Operation: 1479/29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 33, 32, 6 ]
36
[ "32-14=18", "18/6=3", "33+3=36" ]
Current State: 36:[14, 33, 32, 6], Operations: [] Exploring Operation: 32-14=18, Resulting Numbers: [33, 6, 18] Generated Node #2: [33, 6, 18] from Operation: 32-14=18 Current State: 36:[33, 6, 18], Operations: ['32-14=18'] Exploring Operation: 18/6=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 18/6=3 Current State: 36:[33, 3], Operations: ['32-14=18', '18/6=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 91, 50, 24, 71 ]
60
[ "91-71=20", "50*24=1200", "1200/20=60" ]
Current State: 60:[91, 50, 24, 71], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [50, 24, 20] Generated Node #2: [50, 24, 20] from Operation: 91-71=20 Current State: 60:[50, 24, 20], Operations: ['91-71=20'] Exploring Operation: 50*24=1200, Resulting Numbers: [20, 1200] Generated Node #3: [20, 1200] from Operation: 50*24=1200 Current State: 60:[20, 1200], Operations: ['91-71=20', '50*24=1200'] Exploring Operation: 1200/20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 7, 6, 86, 72 ]
92
[ "86-72=14", "7*14=98", "98-6=92" ]
Current State: 92:[7, 6, 86, 72], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [7, 6, 14] Generated Node #2: [7, 6, 14] from Operation: 86-72=14 Current State: 92:[7, 6, 14], Operations: ['86-72=14'] Exploring Operation: 7*14=98, Resulting Numbers: [6, 98] Generated Node #3: [6, 98] from Operation: 7*14=98 Current State: 92:[6, 98], Operations: ['86-72=14', '7*14=98'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 77, 39, 12 ]
71
[ "77-57=20", "39+12=51", "20+51=71" ]
Current State: 71:[57, 77, 39, 12], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [39, 12, 20] Generated Node #2: [39, 12, 20] from Operation: 77-57=20 Current State: 71:[39, 12, 20], Operations: ['77-57=20'] Exploring Operation: 39+12=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 39+12=51 Current State: 71:[20, 51], Operations: ['77-57=20', '39+12=51'] Exploring Operation: 20+51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 85, 4, 78, 59 ]
31
[ "85-78=7", "4*7=28", "59-28=31" ]
Current State: 31:[85, 4, 78, 59], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [4, 59, 7] Generated Node #2: [4, 59, 7] from Operation: 85-78=7 Current State: 31:[4, 59, 7], Operations: ['85-78=7'] Exploring Operation: 4*7=28, Resulting Numbers: [59, 28] Generated Node #3: [59, 28] from Operation: 4*7=28 Current State: 31:[59, 28], Operations: ['85-78=7', '4*7=28'] Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 38, 99, 71 ]
25
[ "67*38=2546", "2546-71=2475", "2475/99=25" ]
Current State: 25:[67, 38, 99, 71], Operations: [] Exploring Operation: 67*38=2546, Resulting Numbers: [99, 71, 2546] Generated Node #2: [99, 71, 2546] from Operation: 67*38=2546 Current State: 25:[99, 71, 2546], Operations: ['67*38=2546'] Exploring Operation: 2546-71=2475, Resulting Numbers: [99, 2475] Generated Node #3: [99, 2475] from Operation: 2546-71=2475 Current State: 25:[99, 2475], Operations: ['67*38=2546', '2546-71=2475'] Exploring Operation: 2475/99=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 52, 6, 33 ]
66
[ "52-13=39", "33-6=27", "39+27=66" ]
Current State: 66:[13, 52, 6, 33], Operations: [] Exploring Operation: 52-13=39, Resulting Numbers: [6, 33, 39] Generated Node #2: [6, 33, 39] from Operation: 52-13=39 Current State: 66:[6, 33, 39], Operations: ['52-13=39'] Exploring Operation: 33-6=27, Resulting Numbers: [39, 27] Generated Node #3: [39, 27] from Operation: 33-6=27 Current State: 66:[39, 27], Operations: ['52-13=39', '33-6=27'] Exploring Operation: 39+27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 94, 4, 26 ]
39
[ "36+94=130", "26+130=156", "156/4=39" ]
Current State: 39:[36, 94, 4, 26], Operations: [] Exploring Operation: 36+94=130, Resulting Numbers: [4, 26, 130] Generated Node #2: [4, 26, 130] from Operation: 36+94=130 Current State: 39:[4, 26, 130], Operations: ['36+94=130'] Exploring Operation: 26+130=156, Resulting Numbers: [4, 156] Generated Node #3: [4, 156] from Operation: 26+130=156 Current State: 39:[4, 156], Operations: ['36+94=130', '26+130=156'] Exploring Operation: 156/4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 35, 92, 35 ]
87
[ "92-4=88", "35/35=1", "88-1=87" ]
Current State: 87:[4, 35, 92, 35], Operations: [] Exploring Operation: 92-4=88, Resulting Numbers: [35, 35, 88] Generated Node #2: [35, 35, 88] from Operation: 92-4=88 Current State: 87:[35, 35, 88], Operations: ['92-4=88'] Exploring Operation: 35/35=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 35/35=1 Current State: 87:[88, 1], Operations: ['92-4=88', '35/35=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 11, 18, 2 ]
81
[ "76-11=65", "18-2=16", "65+16=81" ]
Current State: 81:[76, 11, 18, 2], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [18, 2, 65] Generated Node #2: [18, 2, 65] from Operation: 76-11=65 Current State: 81:[18, 2, 65], Operations: ['76-11=65'] Exploring Operation: 18-2=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 18-2=16 Current State: 81:[65, 16], Operations: ['76-11=65', '18-2=16'] Exploring Operation: 65+16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 36, 91, 47, 92 ]
54
[ "91+47=138", "36*138=4968", "4968/92=54" ]
Current State: 54:[36, 91, 47, 92], Operations: [] Exploring Operation: 91+47=138, Resulting Numbers: [36, 92, 138] Generated Node #2: [36, 92, 138] from Operation: 91+47=138 Current State: 54:[36, 92, 138], Operations: ['91+47=138'] Exploring Operation: 36*138=4968, Resulting Numbers: [92, 4968] Generated Node #3: [92, 4968] from Operation: 36*138=4968 Current State: 54:[92, 4968], Operations: ['91+47=138', '36*138=4968'] Exploring Operation: 4968/92=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 23, 26, 43 ]
49
[ "9+23=32", "43-26=17", "32+17=49" ]
Current State: 49:[9, 23, 26, 43], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [26, 43, 32] Generated Node #2: [26, 43, 32] from Operation: 9+23=32 Current State: 49:[26, 43, 32], Operations: ['9+23=32'] Exploring Operation: 43-26=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 43-26=17 Current State: 49:[32, 17], Operations: ['9+23=32', '43-26=17'] Exploring Operation: 32+17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 30, 89, 21 ]
47
[ "30-28=2", "21*2=42", "89-42=47" ]
Current State: 47:[28, 30, 89, 21], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [89, 21, 2] Generated Node #2: [89, 21, 2] from Operation: 30-28=2 Current State: 47:[89, 21, 2], Operations: ['30-28=2'] Exploring Operation: 21*2=42, Resulting Numbers: [89, 42] Generated Node #3: [89, 42] from Operation: 21*2=42 Current State: 47:[89, 42], Operations: ['30-28=2', '21*2=42'] Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 38, 80, 79 ]
58
[ "97-38=59", "80-79=1", "59-1=58" ]
Current State: 58:[97, 38, 80, 79], Operations: [] Exploring Operation: 97-38=59, Resulting Numbers: [80, 79, 59] Generated Node #2: [80, 79, 59] from Operation: 97-38=59 Current State: 58:[80, 79, 59], Operations: ['97-38=59'] Exploring Operation: 80-79=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 80-79=1 Current State: 58:[59, 1], Operations: ['97-38=59', '80-79=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4