nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 2, 58, 30, 8 ]
32
[ "8/2=4", "58-30=28", "4+28=32" ]
Current State: 32:[2, 58, 30, 8], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [58, 30, 4] Generated Node #2: [58, 30, 4] from Operation: 8/2=4 Current State: 32:[58, 30, 4], Operations: ['8/2=4'] Exploring Operation: 58-30=28, Resulting Numbers: [4, 28] Generated Node #3: [4, 28] from Operation: 58-30=28 Current State: 32:[4, 28], Operations: ['8/2=4', '58-30=28'] Exploring Operation: 4+28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 34, 1, 28, 7 ]
38
[ "34*1=34", "28/7=4", "34+4=38" ]
Current State: 38:[34, 1, 28, 7], Operations: [] Exploring Operation: 34*1=34, Resulting Numbers: [28, 7, 34] Generated Node #2: [28, 7, 34] from Operation: 34*1=34 Current State: 38:[28, 7, 34], Operations: ['34*1=34'] Exploring Operation: 28/7=4, Resulting Numbers: [34, 4] Generated Node #3: [34, 4] from Operation: 28/7=4 Current State: 38:[34, 4], Operations: ['34*1=34', '28/7=4'] Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 42, 13, 61, 69 ]
47
[ "42+13=55", "69-61=8", "55-8=47" ]
Current State: 47:[42, 13, 61, 69], Operations: [] Exploring Operation: 42+13=55, Resulting Numbers: [61, 69, 55] Generated Node #2: [61, 69, 55] from Operation: 42+13=55 Current State: 47:[61, 69, 55], Operations: ['42+13=55'] Exploring Operation: 69-61=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 69-61=8 Current State: 47:[55, 8], Operations: ['42+13=55', '69-61=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 59, 2, 60, 27 ]
17
[ "59+27=86", "86/2=43", "60-43=17" ]
Current State: 17:[59, 2, 60, 27], Operations: [] Exploring Operation: 59+27=86, Resulting Numbers: [2, 60, 86] Generated Node #2: [2, 60, 86] from Operation: 59+27=86 Current State: 17:[2, 60, 86], Operations: ['59+27=86'] Exploring Operation: 86/2=43, Resulting Numbers: [60, 43] Generated Node #3: [60, 43] from Operation: 86/2=43 Current State: 17:[60, 43], Operations: ['59+27=86', '86/2=43'] Exploring Operation: 60-43=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 94, 24, 54 ]
41
[ "60*54=3240", "3240/24=135", "135-94=41" ]
Current State: 41:[60, 94, 24, 54], Operations: [] Exploring Operation: 60*54=3240, Resulting Numbers: [94, 24, 3240] Generated Node #2: [94, 24, 3240] from Operation: 60*54=3240 Current State: 41:[94, 24, 3240], Operations: ['60*54=3240'] Exploring Operation: 3240/24=135, Resulting Numbers: [94, 135] Generated Node #3: [94, 135] from Operation: 3240/24=135 Current State: 41:[94, 135], Operations: ['60*54=3240', '3240/24=135'] Exploring Operation: 135-94=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 91, 50, 29, 2 ]
20
[ "91+29=120", "50*2=100", "120-100=20" ]
Current State: 20:[91, 50, 29, 2], Operations: [] Exploring Operation: 91+29=120, Resulting Numbers: [50, 2, 120] Generated Node #2: [50, 2, 120] from Operation: 91+29=120 Current State: 20:[50, 2, 120], Operations: ['91+29=120'] Exploring Operation: 50*2=100, Resulting Numbers: [120, 100] Generated Node #3: [120, 100] from Operation: 50*2=100 Current State: 20:[120, 100], Operations: ['91+29=120', '50*2=100'] Exploring Operation: 120-100=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 24, 1, 1 ]
21
[ "1+1=2", "6/2=3", "24-3=21" ]
Current State: 21:[6, 24, 1, 1], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [6, 24, 2] Generated Node #2: [6, 24, 2] from Operation: 1+1=2 Current State: 21:[6, 24, 2], Operations: ['1+1=2'] Exploring Operation: 6/2=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 6/2=3 Current State: 21:[24, 3], Operations: ['1+1=2', '6/2=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 60, 99, 42, 34 ]
37
[ "99-60=39", "42+34=76", "76-39=37" ]
Current State: 37:[60, 99, 42, 34], Operations: [] Exploring Operation: 99-60=39, Resulting Numbers: [42, 34, 39] Generated Node #2: [42, 34, 39] from Operation: 99-60=39 Current State: 37:[42, 34, 39], Operations: ['99-60=39'] Exploring Operation: 42+34=76, Resulting Numbers: [39, 76] Generated Node #3: [39, 76] from Operation: 42+34=76 Current State: 37:[39, 76], Operations: ['99-60=39', '42+34=76'] Exploring Operation: 76-39=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 2, 63, 15 ]
22
[ "72-2=70", "63-15=48", "70-48=22" ]
Current State: 22:[72, 2, 63, 15], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [63, 15, 70] Generated Node #2: [63, 15, 70] from Operation: 72-2=70 Current State: 22:[63, 15, 70], Operations: ['72-2=70'] Exploring Operation: 63-15=48, Resulting Numbers: [70, 48] Generated Node #3: [70, 48] from Operation: 63-15=48 Current State: 22:[70, 48], Operations: ['72-2=70', '63-15=48'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 39, 54, 23, 32 ]
24
[ "54-39=15", "32-23=9", "15+9=24" ]
Current State: 24:[39, 54, 23, 32], Operations: [] Exploring Operation: 54-39=15, Resulting Numbers: [23, 32, 15] Generated Node #2: [23, 32, 15] from Operation: 54-39=15 Current State: 24:[23, 32, 15], Operations: ['54-39=15'] Exploring Operation: 32-23=9, Resulting Numbers: [15, 9] Generated Node #3: [15, 9] from Operation: 32-23=9 Current State: 24:[15, 9], Operations: ['54-39=15', '32-23=9'] Exploring Operation: 15+9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 33, 19, 2, 36 ]
19
[ "33+2=35", "36-35=1", "19*1=19" ]
Current State: 19:[33, 19, 2, 36], Operations: [] Exploring Operation: 33+2=35, Resulting Numbers: [19, 36, 35] Generated Node #2: [19, 36, 35] from Operation: 33+2=35 Current State: 19:[19, 36, 35], Operations: ['33+2=35'] Exploring Operation: 36-35=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 36-35=1 Current State: 19:[19, 1], Operations: ['33+2=35', '36-35=1'] Exploring Operation: 19*1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 63, 43, 13, 37 ]
45
[ "63-37=26", "26/13=2", "43+2=45" ]
Current State: 45:[63, 43, 13, 37], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [43, 13, 26] Generated Node #2: [43, 13, 26] from Operation: 63-37=26 Current State: 45:[43, 13, 26], Operations: ['63-37=26'] Exploring Operation: 26/13=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 26/13=2 Current State: 45:[43, 2], Operations: ['63-37=26', '26/13=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 97, 75, 61, 25 ]
14
[ "97-75=22", "61-25=36", "36-22=14" ]
Current State: 14:[97, 75, 61, 25], Operations: [] Exploring Operation: 97-75=22, Resulting Numbers: [61, 25, 22] Generated Node #2: [61, 25, 22] from Operation: 97-75=22 Current State: 14:[61, 25, 22], Operations: ['97-75=22'] Exploring Operation: 61-25=36, Resulting Numbers: [22, 36] Generated Node #3: [22, 36] from Operation: 61-25=36 Current State: 14:[22, 36], Operations: ['97-75=22', '61-25=36'] Exploring Operation: 36-22=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 24, 6, 34, 12 ]
15
[ "6*34=204", "204-24=180", "180/12=15" ]
Current State: 15:[24, 6, 34, 12], Operations: [] Exploring Operation: 6*34=204, Resulting Numbers: [24, 12, 204] Generated Node #2: [24, 12, 204] from Operation: 6*34=204 Current State: 15:[24, 12, 204], Operations: ['6*34=204'] Exploring Operation: 204-24=180, Resulting Numbers: [12, 180] Generated Node #3: [12, 180] from Operation: 204-24=180 Current State: 15:[12, 180], Operations: ['6*34=204', '204-24=180'] Exploring Operation: 180/12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 29, 24, 35, 12 ]
95
[ "29-24=5", "12*5=60", "35+60=95" ]
Current State: 95:[29, 24, 35, 12], Operations: [] Exploring Operation: 29-24=5, Resulting Numbers: [35, 12, 5] Generated Node #2: [35, 12, 5] from Operation: 29-24=5 Current State: 95:[35, 12, 5], Operations: ['29-24=5'] Exploring Operation: 12*5=60, Resulting Numbers: [35, 60] Generated Node #3: [35, 60] from Operation: 12*5=60 Current State: 95:[35, 60], Operations: ['29-24=5', '12*5=60'] Exploring Operation: 35+60=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 55, 2, 85, 91 ]
21
[ "55+85=140", "140/2=70", "91-70=21" ]
Current State: 21:[55, 2, 85, 91], Operations: [] Exploring Operation: 55+85=140, Resulting Numbers: [2, 91, 140] Generated Node #2: [2, 91, 140] from Operation: 55+85=140 Current State: 21:[2, 91, 140], Operations: ['55+85=140'] Exploring Operation: 140/2=70, Resulting Numbers: [91, 70] Generated Node #3: [91, 70] from Operation: 140/2=70 Current State: 21:[91, 70], Operations: ['55+85=140', '140/2=70'] Exploring Operation: 91-70=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 16, 39, 56, 47 ]
46
[ "16+39=55", "56-47=9", "55-9=46" ]
Current State: 46:[16, 39, 56, 47], Operations: [] Exploring Operation: 16+39=55, Resulting Numbers: [56, 47, 55] Generated Node #2: [56, 47, 55] from Operation: 16+39=55 Current State: 46:[56, 47, 55], Operations: ['16+39=55'] Exploring Operation: 56-47=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 56-47=9 Current State: 46:[55, 9], Operations: ['16+39=55', '56-47=9'] Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 7, 20, 10 ]
36
[ "45-7=38", "20/10=2", "38-2=36" ]
Current State: 36:[45, 7, 20, 10], Operations: [] Exploring Operation: 45-7=38, Resulting Numbers: [20, 10, 38] Generated Node #2: [20, 10, 38] from Operation: 45-7=38 Current State: 36:[20, 10, 38], Operations: ['45-7=38'] Exploring Operation: 20/10=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 20/10=2 Current State: 36:[38, 2], Operations: ['45-7=38', '20/10=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 14, 56, 61 ]
15
[ "80-61=19", "56/14=4", "19-4=15" ]
Current State: 15:[80, 14, 56, 61], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [14, 56, 19] Generated Node #2: [14, 56, 19] from Operation: 80-61=19 Current State: 15:[14, 56, 19], Operations: ['80-61=19'] Exploring Operation: 56/14=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 56/14=4 Current State: 15:[19, 4], Operations: ['80-61=19', '56/14=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 79, 51, 83, 25 ]
22
[ "79+51=130", "83+25=108", "130-108=22" ]
Current State: 22:[79, 51, 83, 25], Operations: [] Exploring Operation: 79+51=130, Resulting Numbers: [83, 25, 130] Generated Node #2: [83, 25, 130] from Operation: 79+51=130 Current State: 22:[83, 25, 130], Operations: ['79+51=130'] Exploring Operation: 83+25=108, Resulting Numbers: [130, 108] Generated Node #3: [130, 108] from Operation: 83+25=108 Current State: 22:[130, 108], Operations: ['79+51=130', '83+25=108'] Exploring Operation: 130-108=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 3, 74, 85 ]
51
[ "37+3=40", "85-74=11", "40+11=51" ]
Current State: 51:[37, 3, 74, 85], Operations: [] Exploring Operation: 37+3=40, Resulting Numbers: [74, 85, 40] Generated Node #2: [74, 85, 40] from Operation: 37+3=40 Current State: 51:[74, 85, 40], Operations: ['37+3=40'] Exploring Operation: 85-74=11, Resulting Numbers: [40, 11] Generated Node #3: [40, 11] from Operation: 85-74=11 Current State: 51:[40, 11], Operations: ['37+3=40', '85-74=11'] Exploring Operation: 40+11=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 32, 13, 26 ]
39
[ "34-32=2", "26*2=52", "52-13=39" ]
Current State: 39:[34, 32, 13, 26], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [13, 26, 2] Generated Node #2: [13, 26, 2] from Operation: 34-32=2 Current State: 39:[13, 26, 2], Operations: ['34-32=2'] Exploring Operation: 26*2=52, Resulting Numbers: [13, 52] Generated Node #3: [13, 52] from Operation: 26*2=52 Current State: 39:[13, 52], Operations: ['34-32=2', '26*2=52'] Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 37, 19, 16 ]
41
[ "7+37=44", "19-16=3", "44-3=41" ]
Current State: 41:[7, 37, 19, 16], Operations: [] Exploring Operation: 7+37=44, Resulting Numbers: [19, 16, 44] Generated Node #2: [19, 16, 44] from Operation: 7+37=44 Current State: 41:[19, 16, 44], Operations: ['7+37=44'] Exploring Operation: 19-16=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 19-16=3 Current State: 41:[44, 3], Operations: ['7+37=44', '19-16=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 63, 54, 59 ]
98
[ "63-59=4", "38*4=152", "152-54=98" ]
Current State: 98:[38, 63, 54, 59], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [38, 54, 4] Generated Node #2: [38, 54, 4] from Operation: 63-59=4 Current State: 98:[38, 54, 4], Operations: ['63-59=4'] Exploring Operation: 38*4=152, Resulting Numbers: [54, 152] Generated Node #3: [54, 152] from Operation: 38*4=152 Current State: 98:[54, 152], Operations: ['63-59=4', '38*4=152'] Exploring Operation: 152-54=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 13, 50, 66, 61 ]
77
[ "61-50=11", "13*11=143", "143-66=77" ]
Current State: 77:[13, 50, 66, 61], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [13, 66, 11] Generated Node #2: [13, 66, 11] from Operation: 61-50=11 Current State: 77:[13, 66, 11], Operations: ['61-50=11'] Exploring Operation: 13*11=143, Resulting Numbers: [66, 143] Generated Node #3: [66, 143] from Operation: 13*11=143 Current State: 77:[66, 143], Operations: ['61-50=11', '13*11=143'] Exploring Operation: 143-66=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 17, 7, 89, 70 ]
14
[ "89-17=72", "72-70=2", "7*2=14" ]
Current State: 14:[17, 7, 89, 70], Operations: [] Exploring Operation: 89-17=72, Resulting Numbers: [7, 70, 72] Generated Node #2: [7, 70, 72] from Operation: 89-17=72 Current State: 14:[7, 70, 72], Operations: ['89-17=72'] Exploring Operation: 72-70=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 72-70=2 Current State: 14:[7, 2], Operations: ['89-17=72', '72-70=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 6, 17, 97 ]
87
[ "33-6=27", "17+97=114", "114-27=87" ]
Current State: 87:[33, 6, 17, 97], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [17, 97, 27] Generated Node #2: [17, 97, 27] from Operation: 33-6=27 Current State: 87:[17, 97, 27], Operations: ['33-6=27'] Exploring Operation: 17+97=114, Resulting Numbers: [27, 114] Generated Node #3: [27, 114] from Operation: 17+97=114 Current State: 87:[27, 114], Operations: ['33-6=27', '17+97=114'] Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 43, 76, 17, 11 ]
18
[ "43+76=119", "119/17=7", "11+7=18" ]
Current State: 18:[43, 76, 17, 11], Operations: [] Exploring Operation: 43+76=119, Resulting Numbers: [17, 11, 119] Generated Node #2: [17, 11, 119] from Operation: 43+76=119 Current State: 18:[17, 11, 119], Operations: ['43+76=119'] Exploring Operation: 119/17=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 119/17=7 Current State: 18:[11, 7], Operations: ['43+76=119', '119/17=7'] Exploring Operation: 11+7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 77, 7, 97, 4 ]
23
[ "77-7=70", "97-4=93", "93-70=23" ]
Current State: 23:[77, 7, 97, 4], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [97, 4, 70] Generated Node #2: [97, 4, 70] from Operation: 77-7=70 Current State: 23:[97, 4, 70], Operations: ['77-7=70'] Exploring Operation: 97-4=93, Resulting Numbers: [70, 93] Generated Node #3: [70, 93] from Operation: 97-4=93 Current State: 23:[70, 93], Operations: ['77-7=70', '97-4=93'] Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 37, 4, 82, 46 ]
65
[ "37+82=119", "4*46=184", "184-119=65" ]
Current State: 65:[37, 4, 82, 46], Operations: [] Exploring Operation: 37+82=119, Resulting Numbers: [4, 46, 119] Generated Node #2: [4, 46, 119] from Operation: 37+82=119 Current State: 65:[4, 46, 119], Operations: ['37+82=119'] Exploring Operation: 4*46=184, Resulting Numbers: [119, 184] Generated Node #3: [119, 184] from Operation: 4*46=184 Current State: 65:[119, 184], Operations: ['37+82=119', '4*46=184'] Exploring Operation: 184-119=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 78, 37, 85 ]
54
[ "78/13=6", "85-37=48", "6+48=54" ]
Current State: 54:[13, 78, 37, 85], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [37, 85, 6] Generated Node #2: [37, 85, 6] from Operation: 78/13=6 Current State: 54:[37, 85, 6], Operations: ['78/13=6'] Exploring Operation: 85-37=48, Resulting Numbers: [6, 48] Generated Node #3: [6, 48] from Operation: 85-37=48 Current State: 54:[6, 48], Operations: ['78/13=6', '85-37=48'] Exploring Operation: 6+48=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 24, 70, 10 ]
84
[ "6*24=144", "70-10=60", "144-60=84" ]
Current State: 84:[6, 24, 70, 10], Operations: [] Exploring Operation: 6*24=144, Resulting Numbers: [70, 10, 144] Generated Node #2: [70, 10, 144] from Operation: 6*24=144 Current State: 84:[70, 10, 144], Operations: ['6*24=144'] Exploring Operation: 70-10=60, Resulting Numbers: [144, 60] Generated Node #3: [144, 60] from Operation: 70-10=60 Current State: 84:[144, 60], Operations: ['6*24=144', '70-10=60'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 25, 8, 78 ]
61
[ "64/8=8", "78-25=53", "8+53=61" ]
Current State: 61:[64, 25, 8, 78], Operations: [] Exploring Operation: 64/8=8, Resulting Numbers: [25, 78, 8] Generated Node #2: [25, 78, 8] from Operation: 64/8=8 Current State: 61:[25, 78, 8], Operations: ['64/8=8'] Exploring Operation: 78-25=53, Resulting Numbers: [8, 53] Generated Node #3: [8, 53] from Operation: 78-25=53 Current State: 61:[8, 53], Operations: ['64/8=8', '78-25=53'] Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 30, 79, 43 ]
58
[ "34+30=64", "79+43=122", "122-64=58" ]
Current State: 58:[34, 30, 79, 43], Operations: [] Exploring Operation: 34+30=64, Resulting Numbers: [79, 43, 64] Generated Node #2: [79, 43, 64] from Operation: 34+30=64 Current State: 58:[79, 43, 64], Operations: ['34+30=64'] Exploring Operation: 79+43=122, Resulting Numbers: [64, 122] Generated Node #3: [64, 122] from Operation: 79+43=122 Current State: 58:[64, 122], Operations: ['34+30=64', '79+43=122'] Exploring Operation: 122-64=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 38, 5, 29 ]
52
[ "2*38=76", "29-5=24", "76-24=52" ]
Current State: 52:[2, 38, 5, 29], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [5, 29, 76] Generated Node #2: [5, 29, 76] from Operation: 2*38=76 Current State: 52:[5, 29, 76], Operations: ['2*38=76'] Exploring Operation: 29-5=24, Resulting Numbers: [76, 24] Generated Node #3: [76, 24] from Operation: 29-5=24 Current State: 52:[76, 24], Operations: ['2*38=76', '29-5=24'] Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 67, 72, 78, 61 ]
25
[ "67-61=6", "72+78=150", "150/6=25" ]
Current State: 25:[67, 72, 78, 61], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [72, 78, 6] Generated Node #2: [72, 78, 6] from Operation: 67-61=6 Current State: 25:[72, 78, 6], Operations: ['67-61=6'] Exploring Operation: 72+78=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 72+78=150 Current State: 25:[6, 150], Operations: ['67-61=6', '72+78=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 67, 4, 10, 10 ]
97
[ "67-10=57", "4*10=40", "57+40=97" ]
Current State: 97:[67, 4, 10, 10], Operations: [] Exploring Operation: 67-10=57, Resulting Numbers: [4, 57] Generated Node #2: [4, 57] from Operation: 67-10=57 Current State: 97:[4, 57], Operations: ['67-10=57'] Exploring Operation: 4*10=40, Resulting Numbers: [57, 40] Generated Node #3: [57, 40] from Operation: 4*10=40 Current State: 97:[57, 40], Operations: ['67-10=57', '4*10=40'] Exploring Operation: 57+40=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 41, 7, 55, 78 ]
99
[ "41-7=34", "55+78=133", "133-34=99" ]
Current State: 99:[41, 7, 55, 78], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [55, 78, 34] Generated Node #2: [55, 78, 34] from Operation: 41-7=34 Current State: 99:[55, 78, 34], Operations: ['41-7=34'] Exploring Operation: 55+78=133, Resulting Numbers: [34, 133] Generated Node #3: [34, 133] from Operation: 55+78=133 Current State: 99:[34, 133], Operations: ['41-7=34', '55+78=133'] Exploring Operation: 133-34=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 41, 83, 38, 12 ]
74
[ "41+83=124", "38+12=50", "124-50=74" ]
Current State: 74:[41, 83, 38, 12], Operations: [] Exploring Operation: 41+83=124, Resulting Numbers: [38, 12, 124] Generated Node #2: [38, 12, 124] from Operation: 41+83=124 Current State: 74:[38, 12, 124], Operations: ['41+83=124'] Exploring Operation: 38+12=50, Resulting Numbers: [124, 50] Generated Node #3: [124, 50] from Operation: 38+12=50 Current State: 74:[124, 50], Operations: ['41+83=124', '38+12=50'] Exploring Operation: 124-50=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 25, 84, 32, 43 ]
55
[ "32-25=7", "84/7=12", "43+12=55" ]
Current State: 55:[25, 84, 32, 43], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [84, 43, 7] Generated Node #2: [84, 43, 7] from Operation: 32-25=7 Current State: 55:[84, 43, 7], Operations: ['32-25=7'] Exploring Operation: 84/7=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 84/7=12 Current State: 55:[43, 12], Operations: ['32-25=7', '84/7=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 71, 80, 94 ]
47
[ "71-10=61", "94-80=14", "61-14=47" ]
Current State: 47:[10, 71, 80, 94], Operations: [] Exploring Operation: 71-10=61, Resulting Numbers: [80, 94, 61] Generated Node #2: [80, 94, 61] from Operation: 71-10=61 Current State: 47:[80, 94, 61], Operations: ['71-10=61'] Exploring Operation: 94-80=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 94-80=14 Current State: 47:[61, 14], Operations: ['71-10=61', '94-80=14'] Exploring Operation: 61-14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 16, 13, 28 ]
13
[ "45-16=29", "29-28=1", "13*1=13" ]
Current State: 13:[45, 16, 13, 28], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [13, 28, 29] Generated Node #2: [13, 28, 29] from Operation: 45-16=29 Current State: 13:[13, 28, 29], Operations: ['45-16=29'] Exploring Operation: 29-28=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 29-28=1 Current State: 13:[13, 1], Operations: ['45-16=29', '29-28=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 3, 87, 75 ]
68
[ "91+3=94", "87+75=162", "162-94=68" ]
Current State: 68:[91, 3, 87, 75], Operations: [] Exploring Operation: 91+3=94, Resulting Numbers: [87, 75, 94] Generated Node #2: [87, 75, 94] from Operation: 91+3=94 Current State: 68:[87, 75, 94], Operations: ['91+3=94'] Exploring Operation: 87+75=162, Resulting Numbers: [94, 162] Generated Node #3: [94, 162] from Operation: 87+75=162 Current State: 68:[94, 162], Operations: ['91+3=94', '87+75=162'] Exploring Operation: 162-94=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 28, 36, 57 ]
72
[ "66-57=9", "36-28=8", "9*8=72" ]
Current State: 72:[66, 28, 36, 57], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [28, 36, 9] Generated Node #2: [28, 36, 9] from Operation: 66-57=9 Current State: 72:[28, 36, 9], Operations: ['66-57=9'] Exploring Operation: 36-28=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 36-28=8 Current State: 72:[9, 8], Operations: ['66-57=9', '36-28=8'] Exploring Operation: 9*8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 14, 7, 15, 13 ]
42
[ "14+7=21", "15-13=2", "21*2=42" ]
Current State: 42:[14, 7, 15, 13], Operations: [] Exploring Operation: 14+7=21, Resulting Numbers: [15, 13, 21] Generated Node #2: [15, 13, 21] from Operation: 14+7=21 Current State: 42:[15, 13, 21], Operations: ['14+7=21'] Exploring Operation: 15-13=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 15-13=2 Current State: 42:[21, 2], Operations: ['14+7=21', '15-13=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 80, 70, 96 ]
74
[ "80-56=24", "96/24=4", "70+4=74" ]
Current State: 74:[56, 80, 70, 96], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [70, 96, 24] Generated Node #2: [70, 96, 24] from Operation: 80-56=24 Current State: 74:[70, 96, 24], Operations: ['80-56=24'] Exploring Operation: 96/24=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 96/24=4 Current State: 74:[70, 4], Operations: ['80-56=24', '96/24=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 90, 33, 63 ]
22
[ "98-90=8", "63-33=30", "30-8=22" ]
Current State: 22:[98, 90, 33, 63], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [33, 63, 8] Generated Node #2: [33, 63, 8] from Operation: 98-90=8 Current State: 22:[33, 63, 8], Operations: ['98-90=8'] Exploring Operation: 63-33=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 63-33=30 Current State: 22:[8, 30], Operations: ['98-90=8', '63-33=30'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 83, 3, 11 ]
60
[ "36/3=12", "83-11=72", "72-12=60" ]
Current State: 60:[36, 83, 3, 11], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [83, 11, 12] Generated Node #2: [83, 11, 12] from Operation: 36/3=12 Current State: 60:[83, 11, 12], Operations: ['36/3=12'] Exploring Operation: 83-11=72, Resulting Numbers: [12, 72] Generated Node #3: [12, 72] from Operation: 83-11=72 Current State: 60:[12, 72], Operations: ['36/3=12', '83-11=72'] Exploring Operation: 72-12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 27, 3, 45 ]
49
[ "27-20=7", "45-3=42", "7+42=49" ]
Current State: 49:[20, 27, 3, 45], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [3, 45, 7] Generated Node #2: [3, 45, 7] from Operation: 27-20=7 Current State: 49:[3, 45, 7], Operations: ['27-20=7'] Exploring Operation: 45-3=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 45-3=42 Current State: 49:[7, 42], Operations: ['27-20=7', '45-3=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 90, 6, 24 ]
51
[ "24-6=18", "90/18=5", "56-5=51" ]
Current State: 51:[56, 90, 6, 24], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [56, 90, 18] Generated Node #2: [56, 90, 18] from Operation: 24-6=18 Current State: 51:[56, 90, 18], Operations: ['24-6=18'] Exploring Operation: 90/18=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 90/18=5 Current State: 51:[56, 5], Operations: ['24-6=18', '90/18=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 89, 16, 14, 45 ]
14
[ "89-16=73", "14+45=59", "73-59=14" ]
Current State: 14:[89, 16, 14, 45], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [14, 45, 73] Generated Node #2: [14, 45, 73] from Operation: 89-16=73 Current State: 14:[14, 45, 73], Operations: ['89-16=73'] Exploring Operation: 14+45=59, Resulting Numbers: [73, 59] Generated Node #3: [73, 59] from Operation: 14+45=59 Current State: 14:[73, 59], Operations: ['89-16=73', '14+45=59'] Exploring Operation: 73-59=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 31, 7, 8, 37 ]
90
[ "37-31=6", "7+8=15", "6*15=90" ]
Current State: 90:[31, 7, 8, 37], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [7, 8, 6] Generated Node #2: [7, 8, 6] from Operation: 37-31=6 Current State: 90:[7, 8, 6], Operations: ['37-31=6'] Exploring Operation: 7+8=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 7+8=15 Current State: 90:[6, 15], Operations: ['37-31=6', '7+8=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 35, 5, 55 ]
94
[ "69-35=34", "5+55=60", "34+60=94" ]
Current State: 94:[69, 35, 5, 55], Operations: [] Exploring Operation: 69-35=34, Resulting Numbers: [5, 55, 34] Generated Node #2: [5, 55, 34] from Operation: 69-35=34 Current State: 94:[5, 55, 34], Operations: ['69-35=34'] Exploring Operation: 5+55=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 5+55=60 Current State: 94:[34, 60], Operations: ['69-35=34', '5+55=60'] Exploring Operation: 34+60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 63, 25, 14 ]
91
[ "27-25=2", "14*2=28", "63+28=91" ]
Current State: 91:[27, 63, 25, 14], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [63, 14, 2] Generated Node #2: [63, 14, 2] from Operation: 27-25=2 Current State: 91:[63, 14, 2], Operations: ['27-25=2'] Exploring Operation: 14*2=28, Resulting Numbers: [63, 28] Generated Node #3: [63, 28] from Operation: 14*2=28 Current State: 91:[63, 28], Operations: ['27-25=2', '14*2=28'] Exploring Operation: 63+28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 74, 18, 5, 16 ]
22
[ "74*5=370", "370-18=352", "352/16=22" ]
Current State: 22:[74, 18, 5, 16], Operations: [] Exploring Operation: 74*5=370, Resulting Numbers: [18, 16, 370] Generated Node #2: [18, 16, 370] from Operation: 74*5=370 Current State: 22:[18, 16, 370], Operations: ['74*5=370'] Exploring Operation: 370-18=352, Resulting Numbers: [16, 352] Generated Node #3: [16, 352] from Operation: 370-18=352 Current State: 22:[16, 352], Operations: ['74*5=370', '370-18=352'] Exploring Operation: 352/16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 51, 35, 17, 19 ]
88
[ "51+35=86", "19-17=2", "86+2=88" ]
Current State: 88:[51, 35, 17, 19], Operations: [] Exploring Operation: 51+35=86, Resulting Numbers: [17, 19, 86] Generated Node #2: [17, 19, 86] from Operation: 51+35=86 Current State: 88:[17, 19, 86], Operations: ['51+35=86'] Exploring Operation: 19-17=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 19-17=2 Current State: 88:[86, 2], Operations: ['51+35=86', '19-17=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 80, 82, 28, 23 ]
49
[ "82-80=2", "28+23=51", "51-2=49" ]
Current State: 49:[80, 82, 28, 23], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [28, 23, 2] Generated Node #2: [28, 23, 2] from Operation: 82-80=2 Current State: 49:[28, 23, 2], Operations: ['82-80=2'] Exploring Operation: 28+23=51, Resulting Numbers: [2, 51] Generated Node #3: [2, 51] from Operation: 28+23=51 Current State: 49:[2, 51], Operations: ['82-80=2', '28+23=51'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 83, 23, 9, 9 ]
88
[ "83+23=106", "9+9=18", "106-18=88" ]
Current State: 88:[83, 23, 9, 9], Operations: [] Exploring Operation: 83+23=106, Resulting Numbers: [9, 9, 106] Generated Node #2: [9, 9, 106] from Operation: 83+23=106 Current State: 88:[9, 9, 106], Operations: ['83+23=106'] Exploring Operation: 9+9=18, Resulting Numbers: [106, 18] Generated Node #3: [106, 18] from Operation: 9+9=18 Current State: 88:[106, 18], Operations: ['83+23=106', '9+9=18'] Exploring Operation: 106-18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 67, 22, 10, 27 ]
52
[ "67+22=89", "10+27=37", "89-37=52" ]
Current State: 52:[67, 22, 10, 27], Operations: [] Exploring Operation: 67+22=89, Resulting Numbers: [10, 27, 89] Generated Node #2: [10, 27, 89] from Operation: 67+22=89 Current State: 52:[10, 27, 89], Operations: ['67+22=89'] Exploring Operation: 10+27=37, Resulting Numbers: [89, 37] Generated Node #3: [89, 37] from Operation: 10+27=37 Current State: 52:[89, 37], Operations: ['67+22=89', '10+27=37'] Exploring Operation: 89-37=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 44, 26, 40, 2 ]
74
[ "44*2=88", "40-26=14", "88-14=74" ]
Current State: 74:[44, 26, 40, 2], Operations: [] Exploring Operation: 44*2=88, Resulting Numbers: [26, 40, 88] Generated Node #2: [26, 40, 88] from Operation: 44*2=88 Current State: 74:[26, 40, 88], Operations: ['44*2=88'] Exploring Operation: 40-26=14, Resulting Numbers: [88, 14] Generated Node #3: [88, 14] from Operation: 40-26=14 Current State: 74:[88, 14], Operations: ['44*2=88', '40-26=14'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 1, 98, 52 ]
52
[ "98+1=99", "99-98=1", "52*1=52" ]
Current State: 52:[98, 1, 98, 52], Operations: [] Exploring Operation: 98+1=99, Resulting Numbers: [52, 99] Generated Node #2: [52, 99] from Operation: 98+1=99 Current State: 52:[52, 99], Operations: ['98+1=99'] Exploring Operation: 99-98=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 99-98=1 Current State: 52:[52, 1], Operations: ['98+1=99', '99-98=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 65, 95, 79 ]
86
[ "5+65=70", "95-79=16", "70+16=86" ]
Current State: 86:[5, 65, 95, 79], Operations: [] Exploring Operation: 5+65=70, Resulting Numbers: [95, 79, 70] Generated Node #2: [95, 79, 70] from Operation: 5+65=70 Current State: 86:[95, 79, 70], Operations: ['5+65=70'] Exploring Operation: 95-79=16, Resulting Numbers: [70, 16] Generated Node #3: [70, 16] from Operation: 95-79=16 Current State: 86:[70, 16], Operations: ['5+65=70', '95-79=16'] Exploring Operation: 70+16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 66, 51, 73, 75 ]
17
[ "66-51=15", "75-73=2", "15+2=17" ]
Current State: 17:[66, 51, 73, 75], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [73, 75, 15] Generated Node #2: [73, 75, 15] from Operation: 66-51=15 Current State: 17:[73, 75, 15], Operations: ['66-51=15'] Exploring Operation: 75-73=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 75-73=2 Current State: 17:[15, 2], Operations: ['66-51=15', '75-73=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 24, 95, 99, 36 ]
16
[ "24+95=119", "99+36=135", "135-119=16" ]
Current State: 16:[24, 95, 99, 36], Operations: [] Exploring Operation: 24+95=119, Resulting Numbers: [99, 36, 119] Generated Node #2: [99, 36, 119] from Operation: 24+95=119 Current State: 16:[99, 36, 119], Operations: ['24+95=119'] Exploring Operation: 99+36=135, Resulting Numbers: [119, 135] Generated Node #3: [119, 135] from Operation: 99+36=135 Current State: 16:[119, 135], Operations: ['24+95=119', '99+36=135'] Exploring Operation: 135-119=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 80, 52, 8 ]
40
[ "52-46=6", "8-6=2", "80/2=40" ]
Current State: 40:[46, 80, 52, 8], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [80, 8, 6] Generated Node #2: [80, 8, 6] from Operation: 52-46=6 Current State: 40:[80, 8, 6], Operations: ['52-46=6'] Exploring Operation: 8-6=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 8-6=2 Current State: 40:[80, 2], Operations: ['52-46=6', '8-6=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 18, 75, 27 ]
77
[ "3*18=54", "54/27=2", "75+2=77" ]
Current State: 77:[3, 18, 75, 27], Operations: [] Exploring Operation: 3*18=54, Resulting Numbers: [75, 27, 54] Generated Node #2: [75, 27, 54] from Operation: 3*18=54 Current State: 77:[75, 27, 54], Operations: ['3*18=54'] Exploring Operation: 54/27=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 54/27=2 Current State: 77:[75, 2], Operations: ['3*18=54', '54/27=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 78, 96, 64, 50 ]
42
[ "78-50=28", "96*28=2688", "2688/64=42" ]
Current State: 42:[78, 96, 64, 50], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [96, 64, 28] Generated Node #2: [96, 64, 28] from Operation: 78-50=28 Current State: 42:[96, 64, 28], Operations: ['78-50=28'] Exploring Operation: 96*28=2688, Resulting Numbers: [64, 2688] Generated Node #3: [64, 2688] from Operation: 96*28=2688 Current State: 42:[64, 2688], Operations: ['78-50=28', '96*28=2688'] Exploring Operation: 2688/64=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 37, 27, 75, 84 ]
36
[ "37+75=112", "27*112=3024", "3024/84=36" ]
Current State: 36:[37, 27, 75, 84], Operations: [] Exploring Operation: 37+75=112, Resulting Numbers: [27, 84, 112] Generated Node #2: [27, 84, 112] from Operation: 37+75=112 Current State: 36:[27, 84, 112], Operations: ['37+75=112'] Exploring Operation: 27*112=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 27*112=3024 Current State: 36:[84, 3024], Operations: ['37+75=112', '27*112=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 57, 60, 95, 2 ]
46
[ "60-57=3", "95-3=92", "92/2=46" ]
Current State: 46:[57, 60, 95, 2], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [95, 2, 3] Generated Node #2: [95, 2, 3] from Operation: 60-57=3 Current State: 46:[95, 2, 3], Operations: ['60-57=3'] Exploring Operation: 95-3=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 95-3=92 Current State: 46:[2, 92], Operations: ['60-57=3', '95-3=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 28, 58, 54 ]
49
[ "82+58=140", "140/28=5", "54-5=49" ]
Current State: 49:[82, 28, 58, 54], Operations: [] Exploring Operation: 82+58=140, Resulting Numbers: [28, 54, 140] Generated Node #2: [28, 54, 140] from Operation: 82+58=140 Current State: 49:[28, 54, 140], Operations: ['82+58=140'] Exploring Operation: 140/28=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 140/28=5 Current State: 49:[54, 5], Operations: ['82+58=140', '140/28=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 45, 4, 57, 65 ]
52
[ "65-45=20", "20/4=5", "57-5=52" ]
Current State: 52:[45, 4, 57, 65], Operations: [] Exploring Operation: 65-45=20, Resulting Numbers: [4, 57, 20] Generated Node #2: [4, 57, 20] from Operation: 65-45=20 Current State: 52:[4, 57, 20], Operations: ['65-45=20'] Exploring Operation: 20/4=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 20/4=5 Current State: 52:[57, 5], Operations: ['65-45=20', '20/4=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 73, 99, 73 ]
71
[ "73+99=172", "172/86=2", "73-2=71" ]
Current State: 71:[86, 73, 99, 73], Operations: [] Exploring Operation: 73+99=172, Resulting Numbers: [86, 172] Generated Node #2: [86, 172] from Operation: 73+99=172 Current State: 71:[86, 172], Operations: ['73+99=172'] Exploring Operation: 172/86=2, Resulting Numbers: [2] 2,71 equal: Goal Reached Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 64, 44, 44 ]
33
[ "44+44=88", "24*88=2112", "2112/64=33" ]
Current State: 33:[24, 64, 44, 44], Operations: [] Exploring Operation: 44+44=88, Resulting Numbers: [24, 64, 88] Generated Node #2: [24, 64, 88] from Operation: 44+44=88 Current State: 33:[24, 64, 88], Operations: ['44+44=88'] Exploring Operation: 24*88=2112, Resulting Numbers: [64, 2112] Generated Node #3: [64, 2112] from Operation: 24*88=2112 Current State: 33:[64, 2112], Operations: ['44+44=88', '24*88=2112'] Exploring Operation: 2112/64=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 39, 31, 33, 84 ]
17
[ "39-33=6", "84/6=14", "31-14=17" ]
Current State: 17:[39, 31, 33, 84], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [31, 84, 6] Generated Node #2: [31, 84, 6] from Operation: 39-33=6 Current State: 17:[31, 84, 6], Operations: ['39-33=6'] Exploring Operation: 84/6=14, Resulting Numbers: [31, 14] Generated Node #3: [31, 14] from Operation: 84/6=14 Current State: 17:[31, 14], Operations: ['39-33=6', '84/6=14'] Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 98, 66, 46 ]
51
[ "98-27=71", "66-46=20", "71-20=51" ]
Current State: 51:[27, 98, 66, 46], Operations: [] Exploring Operation: 98-27=71, Resulting Numbers: [66, 46, 71] Generated Node #2: [66, 46, 71] from Operation: 98-27=71 Current State: 51:[66, 46, 71], Operations: ['98-27=71'] Exploring Operation: 66-46=20, Resulting Numbers: [71, 20] Generated Node #3: [71, 20] from Operation: 66-46=20 Current State: 51:[71, 20], Operations: ['98-27=71', '66-46=20'] Exploring Operation: 71-20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 85, 65, 86, 3 ]
22
[ "85-65=20", "86-20=66", "66/3=22" ]
Current State: 22:[85, 65, 86, 3], Operations: [] Exploring Operation: 85-65=20, Resulting Numbers: [86, 3, 20] Generated Node #2: [86, 3, 20] from Operation: 85-65=20 Current State: 22:[86, 3, 20], Operations: ['85-65=20'] Exploring Operation: 86-20=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 86-20=66 Current State: 22:[3, 66], Operations: ['85-65=20', '86-20=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 30, 8, 34, 80 ]
31
[ "30*8=240", "240/80=3", "34-3=31" ]
Current State: 31:[30, 8, 34, 80], Operations: [] Exploring Operation: 30*8=240, Resulting Numbers: [34, 80, 240] Generated Node #2: [34, 80, 240] from Operation: 30*8=240 Current State: 31:[34, 80, 240], Operations: ['30*8=240'] Exploring Operation: 240/80=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 240/80=3 Current State: 31:[34, 3], Operations: ['30*8=240', '240/80=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 91, 80, 4 ]
72
[ "57+91=148", "80-4=76", "148-76=72" ]
Current State: 72:[57, 91, 80, 4], Operations: [] Exploring Operation: 57+91=148, Resulting Numbers: [80, 4, 148] Generated Node #2: [80, 4, 148] from Operation: 57+91=148 Current State: 72:[80, 4, 148], Operations: ['57+91=148'] Exploring Operation: 80-4=76, Resulting Numbers: [148, 76] Generated Node #3: [148, 76] from Operation: 80-4=76 Current State: 72:[148, 76], Operations: ['57+91=148', '80-4=76'] Exploring Operation: 148-76=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 58, 91, 5, 31 ]
46
[ "91-31=60", "60/5=12", "58-12=46" ]
Current State: 46:[58, 91, 5, 31], Operations: [] Exploring Operation: 91-31=60, Resulting Numbers: [58, 5, 60] Generated Node #2: [58, 5, 60] from Operation: 91-31=60 Current State: 46:[58, 5, 60], Operations: ['91-31=60'] Exploring Operation: 60/5=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 60/5=12 Current State: 46:[58, 12], Operations: ['91-31=60', '60/5=12'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 98, 53, 72, 34 ]
58
[ "98+72=170", "170/34=5", "53+5=58" ]
Current State: 58:[98, 53, 72, 34], Operations: [] Exploring Operation: 98+72=170, Resulting Numbers: [53, 34, 170] Generated Node #2: [53, 34, 170] from Operation: 98+72=170 Current State: 58:[53, 34, 170], Operations: ['98+72=170'] Exploring Operation: 170/34=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 170/34=5 Current State: 58:[53, 5], Operations: ['98+72=170', '170/34=5'] Exploring Operation: 53+5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 40, 45, 70 ]
37
[ "45-40=5", "70/5=14", "51-14=37" ]
Current State: 37:[51, 40, 45, 70], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [51, 70, 5] Generated Node #2: [51, 70, 5] from Operation: 45-40=5 Current State: 37:[51, 70, 5], Operations: ['45-40=5'] Exploring Operation: 70/5=14, Resulting Numbers: [51, 14] Generated Node #3: [51, 14] from Operation: 70/5=14 Current State: 37:[51, 14], Operations: ['45-40=5', '70/5=14'] Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 28, 67, 24 ]
65
[ "40-28=12", "24/12=2", "67-2=65" ]
Current State: 65:[40, 28, 67, 24], Operations: [] Exploring Operation: 40-28=12, Resulting Numbers: [67, 24, 12] Generated Node #2: [67, 24, 12] from Operation: 40-28=12 Current State: 65:[67, 24, 12], Operations: ['40-28=12'] Exploring Operation: 24/12=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 24/12=2 Current State: 65:[67, 2], Operations: ['40-28=12', '24/12=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 54, 5, 86 ]
22
[ "2*5=10", "86-54=32", "32-10=22" ]
Current State: 22:[2, 54, 5, 86], Operations: [] Exploring Operation: 2*5=10, Resulting Numbers: [54, 86, 10] Generated Node #2: [54, 86, 10] from Operation: 2*5=10 Current State: 22:[54, 86, 10], Operations: ['2*5=10'] Exploring Operation: 86-54=32, Resulting Numbers: [10, 32] Generated Node #3: [10, 32] from Operation: 86-54=32 Current State: 22:[10, 32], Operations: ['2*5=10', '86-54=32'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 72, 36, 37, 59 ]
60
[ "72-36=36", "37+59=96", "96-36=60" ]
Current State: 60:[72, 36, 37, 59], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [37, 59, 36] Generated Node #2: [37, 59, 36] from Operation: 72-36=36 Current State: 60:[37, 59, 36], Operations: ['72-36=36'] Exploring Operation: 37+59=96, Resulting Numbers: [36, 96] Generated Node #3: [36, 96] from Operation: 37+59=96 Current State: 60:[36, 96], Operations: ['72-36=36', '37+59=96'] Exploring Operation: 96-36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 51, 78, 90, 77 ]
38
[ "51+78=129", "90+77=167", "167-129=38" ]
Current State: 38:[51, 78, 90, 77], Operations: [] Exploring Operation: 51+78=129, Resulting Numbers: [90, 77, 129] Generated Node #2: [90, 77, 129] from Operation: 51+78=129 Current State: 38:[90, 77, 129], Operations: ['51+78=129'] Exploring Operation: 90+77=167, Resulting Numbers: [129, 167] Generated Node #3: [129, 167] from Operation: 90+77=167 Current State: 38:[129, 167], Operations: ['51+78=129', '90+77=167'] Exploring Operation: 167-129=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 93, 92, 21, 78 ]
57
[ "93-92=1", "78-21=57", "1*57=57" ]
Current State: 57:[93, 92, 21, 78], Operations: [] Exploring Operation: 93-92=1, Resulting Numbers: [21, 78, 1] Generated Node #2: [21, 78, 1] from Operation: 93-92=1 Current State: 57:[21, 78, 1], Operations: ['93-92=1'] Exploring Operation: 78-21=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 78-21=57 Current State: 57:[1, 57], Operations: ['93-92=1', '78-21=57'] Exploring Operation: 1*57=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 6, 6, 74 ]
45
[ "74-30=44", "6/6=1", "44+1=45" ]
Current State: 45:[30, 6, 6, 74], Operations: [] Exploring Operation: 74-30=44, Resulting Numbers: [6, 6, 44] Generated Node #2: [6, 6, 44] from Operation: 74-30=44 Current State: 45:[6, 6, 44], Operations: ['74-30=44'] Exploring Operation: 6/6=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 6/6=1 Current State: 45:[44, 1], Operations: ['74-30=44', '6/6=1'] Exploring Operation: 44+1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 46, 44, 7, 28 ]
98
[ "46-44=2", "7*28=196", "196/2=98" ]
Current State: 98:[46, 44, 7, 28], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [7, 28, 2] Generated Node #2: [7, 28, 2] from Operation: 46-44=2 Current State: 98:[7, 28, 2], Operations: ['46-44=2'] Exploring Operation: 7*28=196, Resulting Numbers: [2, 196] Generated Node #3: [2, 196] from Operation: 7*28=196 Current State: 98:[2, 196], Operations: ['46-44=2', '7*28=196'] Exploring Operation: 196/2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 19, 1, 26, 53 ]
98
[ "19*1=19", "26+53=79", "19+79=98" ]
Current State: 98:[19, 1, 26, 53], Operations: [] Exploring Operation: 19*1=19, Resulting Numbers: [26, 53, 19] Generated Node #2: [26, 53, 19] from Operation: 19*1=19 Current State: 98:[26, 53, 19], Operations: ['19*1=19'] Exploring Operation: 26+53=79, Resulting Numbers: [19, 79] Generated Node #3: [19, 79] from Operation: 26+53=79 Current State: 98:[19, 79], Operations: ['19*1=19', '26+53=79'] Exploring Operation: 19+79=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 78, 54, 49, 84 ]
52
[ "78+84=162", "162/54=3", "49+3=52" ]
Current State: 52:[78, 54, 49, 84], Operations: [] Exploring Operation: 78+84=162, Resulting Numbers: [54, 49, 162] Generated Node #2: [54, 49, 162] from Operation: 78+84=162 Current State: 52:[54, 49, 162], Operations: ['78+84=162'] Exploring Operation: 162/54=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 162/54=3 Current State: 52:[49, 3], Operations: ['78+84=162', '162/54=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 90, 4, 35, 9 ]
42
[ "90-4=86", "35+9=44", "86-44=42" ]
Current State: 42:[90, 4, 35, 9], Operations: [] Exploring Operation: 90-4=86, Resulting Numbers: [35, 9, 86] Generated Node #2: [35, 9, 86] from Operation: 90-4=86 Current State: 42:[35, 9, 86], Operations: ['90-4=86'] Exploring Operation: 35+9=44, Resulting Numbers: [86, 44] Generated Node #3: [86, 44] from Operation: 35+9=44 Current State: 42:[86, 44], Operations: ['90-4=86', '35+9=44'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 10, 12, 72 ]
40
[ "92-72=20", "12-10=2", "20*2=40" ]
Current State: 40:[92, 10, 12, 72], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [10, 12, 20] Generated Node #2: [10, 12, 20] from Operation: 92-72=20 Current State: 40:[10, 12, 20], Operations: ['92-72=20'] Exploring Operation: 12-10=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 12-10=2 Current State: 40:[20, 2], Operations: ['92-72=20', '12-10=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 98, 97, 13, 45 ]
30
[ "98+97=195", "195/13=15", "45-15=30" ]
Current State: 30:[98, 97, 13, 45], Operations: [] Exploring Operation: 98+97=195, Resulting Numbers: [13, 45, 195] Generated Node #2: [13, 45, 195] from Operation: 98+97=195 Current State: 30:[13, 45, 195], Operations: ['98+97=195'] Exploring Operation: 195/13=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 195/13=15 Current State: 30:[45, 15], Operations: ['98+97=195', '195/13=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 33, 19, 45, 3 ]
26
[ "19*45=855", "3+855=858", "858/33=26" ]
Current State: 26:[33, 19, 45, 3], Operations: [] Exploring Operation: 19*45=855, Resulting Numbers: [33, 3, 855] Generated Node #2: [33, 3, 855] from Operation: 19*45=855 Current State: 26:[33, 3, 855], Operations: ['19*45=855'] Exploring Operation: 3+855=858, Resulting Numbers: [33, 858] Generated Node #3: [33, 858] from Operation: 3+855=858 Current State: 26:[33, 858], Operations: ['19*45=855', '3+855=858'] Exploring Operation: 858/33=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 44, 10, 17, 11 ]
11
[ "44/11=4", "17-10=7", "4+7=11" ]
Current State: 11:[44, 10, 17, 11], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [10, 17, 4] Generated Node #2: [10, 17, 4] from Operation: 44/11=4 Current State: 11:[10, 17, 4], Operations: ['44/11=4'] Exploring Operation: 17-10=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 17-10=7 Current State: 11:[4, 7], Operations: ['44/11=4', '17-10=7'] Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 68, 60, 62, 2 ]
15
[ "68-62=6", "6-2=4", "60/4=15" ]
Current State: 15:[68, 60, 62, 2], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [60, 2, 6] Generated Node #2: [60, 2, 6] from Operation: 68-62=6 Current State: 15:[60, 2, 6], Operations: ['68-62=6'] Exploring Operation: 6-2=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 6-2=4 Current State: 15:[60, 4], Operations: ['68-62=6', '6-2=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 31, 26, 17, 22 ]
93
[ "31-26=5", "22*5=110", "110-17=93" ]
Current State: 93:[31, 26, 17, 22], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [17, 22, 5] Generated Node #2: [17, 22, 5] from Operation: 31-26=5 Current State: 93:[17, 22, 5], Operations: ['31-26=5'] Exploring Operation: 22*5=110, Resulting Numbers: [17, 110] Generated Node #3: [17, 110] from Operation: 22*5=110 Current State: 93:[17, 110], Operations: ['31-26=5', '22*5=110'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 3, 26, 12 ]
79
[ "26+12=38", "2*38=76", "3+76=79" ]
Current State: 79:[2, 3, 26, 12], Operations: [] Exploring Operation: 26+12=38, Resulting Numbers: [2, 3, 38] Generated Node #2: [2, 3, 38] from Operation: 26+12=38 Current State: 79:[2, 3, 38], Operations: ['26+12=38'] Exploring Operation: 2*38=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 2*38=76 Current State: 79:[3, 76], Operations: ['26+12=38', '2*38=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 67, 1, 22, 69 ]
70
[ "1+22=23", "69/23=3", "67+3=70" ]
Current State: 70:[67, 1, 22, 69], Operations: [] Exploring Operation: 1+22=23, Resulting Numbers: [67, 69, 23] Generated Node #2: [67, 69, 23] from Operation: 1+22=23 Current State: 70:[67, 69, 23], Operations: ['1+22=23'] Exploring Operation: 69/23=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 69/23=3 Current State: 70:[67, 3], Operations: ['1+22=23', '69/23=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 67, 3, 70 ]
15
[ "67-2=65", "70-65=5", "3*5=15" ]
Current State: 15:[2, 67, 3, 70], Operations: [] Exploring Operation: 67-2=65, Resulting Numbers: [3, 70, 65] Generated Node #2: [3, 70, 65] from Operation: 67-2=65 Current State: 15:[3, 70, 65], Operations: ['67-2=65'] Exploring Operation: 70-65=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 70-65=5 Current State: 15:[3, 5], Operations: ['67-2=65', '70-65=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4