Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 33, 51, 3, 16 ]
70
[ "51-33=18", "3*18=54", "16+54=70" ]
Current State: 70:[33, 51, 3, 16], Operations: [] Exploring Operation: 51-33=18, Resulting Numbers: [3, 16, 18] Generated Node #2: [3, 16, 18] from Operation: 51-33=18 Current State: 70:[3, 16, 18], Operations: ['51-33=18'] Exploring Operation: 3*18=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 3*18=54 Current State: 70:[16, 54], Operations: ['51-33=18', '3*18=54'] Exploring Operation: 16+54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 13, 28, 42 ]
60
[ "33+13=46", "42-28=14", "46+14=60" ]
Current State: 60:[33, 13, 28, 42], Operations: [] Exploring Operation: 33+13=46, Resulting Numbers: [28, 42, 46] Generated Node #2: [28, 42, 46] from Operation: 33+13=46 Current State: 60:[28, 42, 46], Operations: ['33+13=46'] Exploring Operation: 42-28=14, Resulting Numbers: [46, 14] Generated Node #3: [46, 14] from Operation: 42-28=14 Current State: 60:[46, 14], Operations: ['33+13=46', '42-28=14'] Exploring Operation: 46+14=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 65, 32, 81, 34 ]
73
[ "65+81=146", "34-32=2", "146/2=73" ]
Current State: 73:[65, 32, 81, 34], Operations: [] Exploring Operation: 65+81=146, Resulting Numbers: [32, 34, 146] Generated Node #2: [32, 34, 146] from Operation: 65+81=146 Current State: 73:[32, 34, 146], Operations: ['65+81=146'] Exploring Operation: 34-32=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 34-32=2 Current State: 73:[146, 2], Operations: ['65+81=146', '34-32=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 16, 5, 79 ]
94
[ "16-6=10", "5+79=84", "10+84=94" ]
Current State: 94:[6, 16, 5, 79], Operations: [] Exploring Operation: 16-6=10, Resulting Numbers: [5, 79, 10] Generated Node #2: [5, 79, 10] from Operation: 16-6=10 Current State: 94:[5, 79, 10], Operations: ['16-6=10'] Exploring Operation: 5+79=84, Resulting Numbers: [10, 84] Generated Node #3: [10, 84] from Operation: 5+79=84 Current State: 94:[10, 84], Operations: ['16-6=10', '5+79=84'] Exploring Operation: 10+84=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 77, 79, 21, 63 ]
84
[ "79-77=2", "63-21=42", "2*42=84" ]
Current State: 84:[77, 79, 21, 63], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [21, 63, 2] Generated Node #2: [21, 63, 2] from Operation: 79-77=2 Current State: 84:[21, 63, 2], Operations: ['79-77=2'] Exploring Operation: 63-21=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 63-21=42 Current State: 84:[2, 42], Operations: ['79-77=2', '63-21=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 10, 83, 68, 69 ]
94
[ "10+83=93", "69-68=1", "93+1=94" ]
Current State: 94:[10, 83, 68, 69], Operations: [] Exploring Operation: 10+83=93, Resulting Numbers: [68, 69, 93] Generated Node #2: [68, 69, 93] from Operation: 10+83=93 Current State: 94:[68, 69, 93], Operations: ['10+83=93'] Exploring Operation: 69-68=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 69-68=1 Current State: 94:[93, 1], Operations: ['10+83=93', '69-68=1'] Exploring Operation: 93+1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 23, 92, 64, 21 ]
72
[ "23+92=115", "64-21=43", "115-43=72" ]
Current State: 72:[23, 92, 64, 21], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [64, 21, 115] Generated Node #2: [64, 21, 115] from Operation: 23+92=115 Current State: 72:[64, 21, 115], Operations: ['23+92=115'] Exploring Operation: 64-21=43, Resulting Numbers: [115, 43] Generated Node #3: [115, 43] from Operation: 64-21=43 Current State: 72:[115, 43], Operations: ['23+92=115', '64-21=43'] Exploring Operation: 115-43=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 52, 18, 84 ]
56
[ "3+18=21", "84/21=4", "52+4=56" ]
Current State: 56:[3, 52, 18, 84], Operations: [] Exploring Operation: 3+18=21, Resulting Numbers: [52, 84, 21] Generated Node #2: [52, 84, 21] from Operation: 3+18=21 Current State: 56:[52, 84, 21], Operations: ['3+18=21'] Exploring Operation: 84/21=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 84/21=4 Current State: 56:[52, 4], Operations: ['3+18=21', '84/21=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 90, 86, 24, 5 ]
24
[ "90-86=4", "5-4=1", "24*1=24" ]
Current State: 24:[90, 86, 24, 5], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [24, 5, 4] Generated Node #2: [24, 5, 4] from Operation: 90-86=4 Current State: 24:[24, 5, 4], Operations: ['90-86=4'] Exploring Operation: 5-4=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 5-4=1 Current State: 24:[24, 1], Operations: ['90-86=4', '5-4=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 17, 95, 19 ]
38
[ "17-15=2", "95-19=76", "76/2=38" ]
Current State: 38:[15, 17, 95, 19], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [95, 19, 2] Generated Node #2: [95, 19, 2] from Operation: 17-15=2 Current State: 38:[95, 19, 2], Operations: ['17-15=2'] Exploring Operation: 95-19=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 95-19=76 Current State: 38:[2, 76], Operations: ['17-15=2', '95-19=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 21, 67, 31, 3 ]
45
[ "67-21=46", "46-31=15", "3*15=45" ]
Current State: 45:[21, 67, 31, 3], Operations: [] Exploring Operation: 67-21=46, Resulting Numbers: [31, 3, 46] Generated Node #2: [31, 3, 46] from Operation: 67-21=46 Current State: 45:[31, 3, 46], Operations: ['67-21=46'] Exploring Operation: 46-31=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 46-31=15 Current State: 45:[3, 15], Operations: ['67-21=46', '46-31=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 89, 62, 2, 59 ]
43
[ "89-62=27", "59+27=86", "86/2=43" ]
Current State: 43:[89, 62, 2, 59], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [2, 59, 27] Generated Node #2: [2, 59, 27] from Operation: 89-62=27 Current State: 43:[2, 59, 27], Operations: ['89-62=27'] Exploring Operation: 59+27=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 59+27=86 Current State: 43:[2, 86], Operations: ['89-62=27', '59+27=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 54, 37, 41 ]
71
[ "82*54=4428", "4428/41=108", "108-37=71" ]
Current State: 71:[82, 54, 37, 41], Operations: [] Exploring Operation: 82*54=4428, Resulting Numbers: [37, 41, 4428] Generated Node #2: [37, 41, 4428] from Operation: 82*54=4428 Current State: 71:[37, 41, 4428], Operations: ['82*54=4428'] Exploring Operation: 4428/41=108, Resulting Numbers: [37, 108] Generated Node #3: [37, 108] from Operation: 4428/41=108 Current State: 71:[37, 108], Operations: ['82*54=4428', '4428/41=108'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 69, 9, 53, 86 ]
93
[ "69-9=60", "86-53=33", "60+33=93" ]
Current State: 93:[69, 9, 53, 86], Operations: [] Exploring Operation: 69-9=60, Resulting Numbers: [53, 86, 60] Generated Node #2: [53, 86, 60] from Operation: 69-9=60 Current State: 93:[53, 86, 60], Operations: ['69-9=60'] Exploring Operation: 86-53=33, Resulting Numbers: [60, 33] Generated Node #3: [60, 33] from Operation: 86-53=33 Current State: 93:[60, 33], Operations: ['69-9=60', '86-53=33'] Exploring Operation: 60+33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 18, 20, 36 ]
87
[ "85+18=103", "36-20=16", "103-16=87" ]
Current State: 87:[85, 18, 20, 36], Operations: [] Exploring Operation: 85+18=103, Resulting Numbers: [20, 36, 103] Generated Node #2: [20, 36, 103] from Operation: 85+18=103 Current State: 87:[20, 36, 103], Operations: ['85+18=103'] Exploring Operation: 36-20=16, Resulting Numbers: [103, 16] Generated Node #3: [103, 16] from Operation: 36-20=16 Current State: 87:[103, 16], Operations: ['85+18=103', '36-20=16'] Exploring Operation: 103-16=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 9, 68, 10 ]
17
[ "93+9=102", "68+102=170", "170/10=17" ]
Current State: 17:[93, 9, 68, 10], Operations: [] Exploring Operation: 93+9=102, Resulting Numbers: [68, 10, 102] Generated Node #2: [68, 10, 102] from Operation: 93+9=102 Current State: 17:[68, 10, 102], Operations: ['93+9=102'] Exploring Operation: 68+102=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 68+102=170 Current State: 17:[10, 170], Operations: ['93+9=102', '68+102=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 99, 60, 49 ]
31
[ "99-21=78", "60+49=109", "109-78=31" ]
Current State: 31:[21, 99, 60, 49], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [60, 49, 78] Generated Node #2: [60, 49, 78] from Operation: 99-21=78 Current State: 31:[60, 49, 78], Operations: ['99-21=78'] Exploring Operation: 60+49=109, Resulting Numbers: [78, 109] Generated Node #3: [78, 109] from Operation: 60+49=109 Current State: 31:[78, 109], Operations: ['99-21=78', '60+49=109'] Exploring Operation: 109-78=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 47, 14, 21, 8 ]
44
[ "47+21=68", "14*8=112", "112-68=44" ]
Current State: 44:[47, 14, 21, 8], Operations: [] Exploring Operation: 47+21=68, Resulting Numbers: [14, 8, 68] Generated Node #2: [14, 8, 68] from Operation: 47+21=68 Current State: 44:[14, 8, 68], Operations: ['47+21=68'] Exploring Operation: 14*8=112, Resulting Numbers: [68, 112] Generated Node #3: [68, 112] from Operation: 14*8=112 Current State: 44:[68, 112], Operations: ['47+21=68', '14*8=112'] Exploring Operation: 112-68=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 59, 28, 99 ]
40
[ "29-28=1", "99-59=40", "1*40=40" ]
Current State: 40:[29, 59, 28, 99], Operations: [] Exploring Operation: 29-28=1, Resulting Numbers: [59, 99, 1] Generated Node #2: [59, 99, 1] from Operation: 29-28=1 Current State: 40:[59, 99, 1], Operations: ['29-28=1'] Exploring Operation: 99-59=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 99-59=40 Current State: 40:[1, 40], Operations: ['29-28=1', '99-59=40'] Exploring Operation: 1*40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 61, 27, 4, 67 ]
51
[ "67-61=6", "4*6=24", "27+24=51" ]
Current State: 51:[61, 27, 4, 67], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [27, 4, 6] Generated Node #2: [27, 4, 6] from Operation: 67-61=6 Current State: 51:[27, 4, 6], Operations: ['67-61=6'] Exploring Operation: 4*6=24, Resulting Numbers: [27, 24] Generated Node #3: [27, 24] from Operation: 4*6=24 Current State: 51:[27, 24], Operations: ['67-61=6', '4*6=24'] Exploring Operation: 27+24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 23, 90, 42 ]
77
[ "6+23=29", "90-42=48", "29+48=77" ]
Current State: 77:[6, 23, 90, 42], Operations: [] Exploring Operation: 6+23=29, Resulting Numbers: [90, 42, 29] Generated Node #2: [90, 42, 29] from Operation: 6+23=29 Current State: 77:[90, 42, 29], Operations: ['6+23=29'] Exploring Operation: 90-42=48, Resulting Numbers: [29, 48] Generated Node #3: [29, 48] from Operation: 90-42=48 Current State: 77:[29, 48], Operations: ['6+23=29', '90-42=48'] Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 90, 34, 66 ]
70
[ "90-52=38", "66-34=32", "38+32=70" ]
Current State: 70:[52, 90, 34, 66], Operations: [] Exploring Operation: 90-52=38, Resulting Numbers: [34, 66, 38] Generated Node #2: [34, 66, 38] from Operation: 90-52=38 Current State: 70:[34, 66, 38], Operations: ['90-52=38'] Exploring Operation: 66-34=32, Resulting Numbers: [38, 32] Generated Node #3: [38, 32] from Operation: 66-34=32 Current State: 70:[38, 32], Operations: ['90-52=38', '66-34=32'] Exploring Operation: 38+32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 91, 33, 12 ]
89
[ "33+12=45", "4*45=180", "180-91=89" ]
Current State: 89:[4, 91, 33, 12], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [4, 91, 45] Generated Node #2: [4, 91, 45] from Operation: 33+12=45 Current State: 89:[4, 91, 45], Operations: ['33+12=45'] Exploring Operation: 4*45=180, Resulting Numbers: [91, 180] Generated Node #3: [91, 180] from Operation: 4*45=180 Current State: 89:[91, 180], Operations: ['33+12=45', '4*45=180'] Exploring Operation: 180-91=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 19, 28, 46, 48 ]
85
[ "28-19=9", "46+48=94", "94-9=85" ]
Current State: 85:[19, 28, 46, 48], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [46, 48, 9] Generated Node #2: [46, 48, 9] from Operation: 28-19=9 Current State: 85:[46, 48, 9], Operations: ['28-19=9'] Exploring Operation: 46+48=94, Resulting Numbers: [9, 94] Generated Node #3: [9, 94] from Operation: 46+48=94 Current State: 85:[9, 94], Operations: ['28-19=9', '46+48=94'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 1, 42, 94 ]
71
[ "64+1=65", "42+94=136", "136-65=71" ]
Current State: 71:[64, 1, 42, 94], Operations: [] Exploring Operation: 64+1=65, Resulting Numbers: [42, 94, 65] Generated Node #2: [42, 94, 65] from Operation: 64+1=65 Current State: 71:[42, 94, 65], Operations: ['64+1=65'] Exploring Operation: 42+94=136, Resulting Numbers: [65, 136] Generated Node #3: [65, 136] from Operation: 42+94=136 Current State: 71:[65, 136], Operations: ['64+1=65', '42+94=136'] Exploring Operation: 136-65=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 59, 96, 12, 40 ]
15
[ "96-59=37", "12+40=52", "52-37=15" ]
Current State: 15:[59, 96, 12, 40], Operations: [] Exploring Operation: 96-59=37, Resulting Numbers: [12, 40, 37] Generated Node #2: [12, 40, 37] from Operation: 96-59=37 Current State: 15:[12, 40, 37], Operations: ['96-59=37'] Exploring Operation: 12+40=52, Resulting Numbers: [37, 52] Generated Node #3: [37, 52] from Operation: 12+40=52 Current State: 15:[37, 52], Operations: ['96-59=37', '12+40=52'] Exploring Operation: 52-37=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 89, 9, 58, 3 ]
94
[ "89-9=80", "58*3=174", "174-80=94" ]
Current State: 94:[89, 9, 58, 3], Operations: [] Exploring Operation: 89-9=80, Resulting Numbers: [58, 3, 80] Generated Node #2: [58, 3, 80] from Operation: 89-9=80 Current State: 94:[58, 3, 80], Operations: ['89-9=80'] Exploring Operation: 58*3=174, Resulting Numbers: [80, 174] Generated Node #3: [80, 174] from Operation: 58*3=174 Current State: 94:[80, 174], Operations: ['89-9=80', '58*3=174'] Exploring Operation: 174-80=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 61, 97, 74, 51 ]
89
[ "97-61=36", "74+51=125", "125-36=89" ]
Current State: 89:[61, 97, 74, 51], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [74, 51, 36] Generated Node #2: [74, 51, 36] from Operation: 97-61=36 Current State: 89:[74, 51, 36], Operations: ['97-61=36'] Exploring Operation: 74+51=125, Resulting Numbers: [36, 125] Generated Node #3: [36, 125] from Operation: 74+51=125 Current State: 89:[36, 125], Operations: ['97-61=36', '74+51=125'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 81, 18, 85, 14 ]
38
[ "85-81=4", "14*4=56", "56-18=38" ]
Current State: 38:[81, 18, 85, 14], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [18, 14, 4] Generated Node #2: [18, 14, 4] from Operation: 85-81=4 Current State: 38:[18, 14, 4], Operations: ['85-81=4'] Exploring Operation: 14*4=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 14*4=56 Current State: 38:[18, 56], Operations: ['85-81=4', '14*4=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 50, 70, 17 ]
74
[ "70-50=20", "17+20=37", "2*37=74" ]
Current State: 74:[2, 50, 70, 17], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [2, 17, 20] Generated Node #2: [2, 17, 20] from Operation: 70-50=20 Current State: 74:[2, 17, 20], Operations: ['70-50=20'] Exploring Operation: 17+20=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 17+20=37 Current State: 74:[2, 37], Operations: ['70-50=20', '17+20=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 15, 24, 29, 79 ]
59
[ "24-15=9", "79-29=50", "9+50=59" ]
Current State: 59:[15, 24, 29, 79], Operations: [] Exploring Operation: 24-15=9, Resulting Numbers: [29, 79, 9] Generated Node #2: [29, 79, 9] from Operation: 24-15=9 Current State: 59:[29, 79, 9], Operations: ['24-15=9'] Exploring Operation: 79-29=50, Resulting Numbers: [9, 50] Generated Node #3: [9, 50] from Operation: 79-29=50 Current State: 59:[9, 50], Operations: ['24-15=9', '79-29=50'] Exploring Operation: 9+50=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 79, 51, 10 ]
89
[ "79+51=130", "130/10=13", "76+13=89" ]
Current State: 89:[76, 79, 51, 10], Operations: [] Exploring Operation: 79+51=130, Resulting Numbers: [76, 10, 130] Generated Node #2: [76, 10, 130] from Operation: 79+51=130 Current State: 89:[76, 10, 130], Operations: ['79+51=130'] Exploring Operation: 130/10=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 130/10=13 Current State: 89:[76, 13], Operations: ['79+51=130', '130/10=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 10, 10, 15 ]
89
[ "15-10=5", "10/5=2", "87+2=89" ]
Current State: 89:[87, 10, 10, 15], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [87, 5] Generated Node #2: [87, 5] from Operation: 15-10=5 Current State: 89:[87, 5], Operations: ['15-10=5'] Exploring Operation: 10/5=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 10/5=2 Current State: 89:[87, 2], Operations: ['15-10=5', '10/5=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 3, 25, 33, 62 ]
51
[ "25-3=22", "62-33=29", "22+29=51" ]
Current State: 51:[3, 25, 33, 62], Operations: [] Exploring Operation: 25-3=22, Resulting Numbers: [33, 62, 22] Generated Node #2: [33, 62, 22] from Operation: 25-3=22 Current State: 51:[33, 62, 22], Operations: ['25-3=22'] Exploring Operation: 62-33=29, Resulting Numbers: [22, 29] Generated Node #3: [22, 29] from Operation: 62-33=29 Current State: 51:[22, 29], Operations: ['25-3=22', '62-33=29'] Exploring Operation: 22+29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 24, 80, 46, 48 ]
63
[ "48/24=2", "80+46=126", "126/2=63" ]
Current State: 63:[24, 80, 46, 48], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [80, 46, 2] Generated Node #2: [80, 46, 2] from Operation: 48/24=2 Current State: 63:[80, 46, 2], Operations: ['48/24=2'] Exploring Operation: 80+46=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 80+46=126 Current State: 63:[2, 126], Operations: ['48/24=2', '80+46=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 97, 4, 77, 47 ]
23
[ "97+4=101", "77+47=124", "124-101=23" ]
Current State: 23:[97, 4, 77, 47], Operations: [] Exploring Operation: 97+4=101, Resulting Numbers: [77, 47, 101] Generated Node #2: [77, 47, 101] from Operation: 97+4=101 Current State: 23:[77, 47, 101], Operations: ['97+4=101'] Exploring Operation: 77+47=124, Resulting Numbers: [101, 124] Generated Node #3: [101, 124] from Operation: 77+47=124 Current State: 23:[101, 124], Operations: ['97+4=101', '77+47=124'] Exploring Operation: 124-101=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 23, 79, 31 ]
10
[ "23-12=11", "79+31=110", "110/11=10" ]
Current State: 10:[12, 23, 79, 31], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [79, 31, 11] Generated Node #2: [79, 31, 11] from Operation: 23-12=11 Current State: 10:[79, 31, 11], Operations: ['23-12=11'] Exploring Operation: 79+31=110, Resulting Numbers: [11, 110] Generated Node #3: [11, 110] from Operation: 79+31=110 Current State: 10:[11, 110], Operations: ['23-12=11', '79+31=110'] Exploring Operation: 110/11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 67, 93, 93 ]
59
[ "67-8=59", "93-93=0", "59+0=59" ]
Current State: 59:[8, 67, 93, 93], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [93, 93, 59] Generated Node #2: [93, 93, 59] from Operation: 67-8=59 Current State: 59:[93, 93, 59], Operations: ['67-8=59'] Exploring Operation: 93-93=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 93-93=0 Current State: 59:[59, 0], Operations: ['67-8=59', '93-93=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 32, 85, 89 ]
46
[ "18+32=50", "89-85=4", "50-4=46" ]
Current State: 46:[18, 32, 85, 89], Operations: [] Exploring Operation: 18+32=50, Resulting Numbers: [85, 89, 50] Generated Node #2: [85, 89, 50] from Operation: 18+32=50 Current State: 46:[85, 89, 50], Operations: ['18+32=50'] Exploring Operation: 89-85=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 89-85=4 Current State: 46:[50, 4], Operations: ['18+32=50', '89-85=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 36, 20, 71 ]
64
[ "75*36=2700", "2700/20=135", "135-71=64" ]
Current State: 64:[75, 36, 20, 71], Operations: [] Exploring Operation: 75*36=2700, Resulting Numbers: [20, 71, 2700] Generated Node #2: [20, 71, 2700] from Operation: 75*36=2700 Current State: 64:[20, 71, 2700], Operations: ['75*36=2700'] Exploring Operation: 2700/20=135, Resulting Numbers: [71, 135] Generated Node #3: [71, 135] from Operation: 2700/20=135 Current State: 64:[71, 135], Operations: ['75*36=2700', '2700/20=135'] Exploring Operation: 135-71=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 43, 50, 61, 47 ]
79
[ "43+50=93", "61-47=14", "93-14=79" ]
Current State: 79:[43, 50, 61, 47], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [61, 47, 93] Generated Node #2: [61, 47, 93] from Operation: 43+50=93 Current State: 79:[61, 47, 93], Operations: ['43+50=93'] Exploring Operation: 61-47=14, Resulting Numbers: [93, 14] Generated Node #3: [93, 14] from Operation: 61-47=14 Current State: 79:[93, 14], Operations: ['43+50=93', '61-47=14'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 76, 21, 13, 16 ]
100
[ "76+21=97", "16-13=3", "97+3=100" ]
Current State: 100:[76, 21, 13, 16], Operations: [] Exploring Operation: 76+21=97, Resulting Numbers: [13, 16, 97] Generated Node #2: [13, 16, 97] from Operation: 76+21=97 Current State: 100:[13, 16, 97], Operations: ['76+21=97'] Exploring Operation: 16-13=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 16-13=3 Current State: 100:[97, 3], Operations: ['76+21=97', '16-13=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 52, 62, 37 ]
31
[ "52-13=39", "39-37=2", "62/2=31" ]
Current State: 31:[13, 52, 62, 37], Operations: [] Exploring Operation: 52-13=39, Resulting Numbers: [62, 37, 39] Generated Node #2: [62, 37, 39] from Operation: 52-13=39 Current State: 31:[62, 37, 39], Operations: ['52-13=39'] Exploring Operation: 39-37=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 39-37=2 Current State: 31:[62, 2], Operations: ['52-13=39', '39-37=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 48, 51, 11, 12 ]
98
[ "48+51=99", "12-11=1", "99-1=98" ]
Current State: 98:[48, 51, 11, 12], Operations: [] Exploring Operation: 48+51=99, Resulting Numbers: [11, 12, 99] Generated Node #2: [11, 12, 99] from Operation: 48+51=99 Current State: 98:[11, 12, 99], Operations: ['48+51=99'] Exploring Operation: 12-11=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 12-11=1 Current State: 98:[99, 1], Operations: ['48+51=99', '12-11=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 5, 3, 14, 37 ]
43
[ "5+3=8", "14+37=51", "51-8=43" ]
Current State: 43:[5, 3, 14, 37], Operations: [] Exploring Operation: 5+3=8, Resulting Numbers: [14, 37, 8] Generated Node #2: [14, 37, 8] from Operation: 5+3=8 Current State: 43:[14, 37, 8], Operations: ['5+3=8'] Exploring Operation: 14+37=51, Resulting Numbers: [8, 51] Generated Node #3: [8, 51] from Operation: 14+37=51 Current State: 43:[8, 51], Operations: ['5+3=8', '14+37=51'] Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 77, 70, 68, 63 ]
57
[ "70-63=7", "77/7=11", "68-11=57" ]
Current State: 57:[77, 70, 68, 63], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [77, 68, 7] Generated Node #2: [77, 68, 7] from Operation: 70-63=7 Current State: 57:[77, 68, 7], Operations: ['70-63=7'] Exploring Operation: 77/7=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 77/7=11 Current State: 57:[68, 11], Operations: ['70-63=7', '77/7=11'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 5, 1, 15, 27 ]
49
[ "5*15=75", "27-1=26", "75-26=49" ]
Current State: 49:[5, 1, 15, 27], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [1, 27, 75] Generated Node #2: [1, 27, 75] from Operation: 5*15=75 Current State: 49:[1, 27, 75], Operations: ['5*15=75'] Exploring Operation: 27-1=26, Resulting Numbers: [75, 26] Generated Node #3: [75, 26] from Operation: 27-1=26 Current State: 49:[75, 26], Operations: ['5*15=75', '27-1=26'] Exploring Operation: 75-26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 85, 8, 9, 27 ]
31
[ "85+8=93", "27/9=3", "93/3=31" ]
Current State: 31:[85, 8, 9, 27], Operations: [] Exploring Operation: 85+8=93, Resulting Numbers: [9, 27, 93] Generated Node #2: [9, 27, 93] from Operation: 85+8=93 Current State: 31:[9, 27, 93], Operations: ['85+8=93'] Exploring Operation: 27/9=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 27/9=3 Current State: 31:[93, 3], Operations: ['85+8=93', '27/9=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 55, 5, 4, 70 ]
79
[ "70-55=15", "5*15=75", "4+75=79" ]
Current State: 79:[55, 5, 4, 70], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [5, 4, 15] Generated Node #2: [5, 4, 15] from Operation: 70-55=15 Current State: 79:[5, 4, 15], Operations: ['70-55=15'] Exploring Operation: 5*15=75, Resulting Numbers: [4, 75] Generated Node #3: [4, 75] from Operation: 5*15=75 Current State: 79:[4, 75], Operations: ['70-55=15', '5*15=75'] Exploring Operation: 4+75=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 25, 50, 34, 33 ]
27
[ "50-33=17", "34/17=2", "25+2=27" ]
Current State: 27:[25, 50, 34, 33], Operations: [] Exploring Operation: 50-33=17, Resulting Numbers: [25, 34, 17] Generated Node #2: [25, 34, 17] from Operation: 50-33=17 Current State: 27:[25, 34, 17], Operations: ['50-33=17'] Exploring Operation: 34/17=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 34/17=2 Current State: 27:[25, 2], Operations: ['50-33=17', '34/17=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 44, 51, 1 ]
44
[ "51-49=2", "2-1=1", "44*1=44" ]
Current State: 44:[49, 44, 51, 1], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [44, 1, 2] Generated Node #2: [44, 1, 2] from Operation: 51-49=2 Current State: 44:[44, 1, 2], Operations: ['51-49=2'] Exploring Operation: 2-1=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 2-1=1 Current State: 44:[44, 1], Operations: ['51-49=2', '2-1=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 93, 76, 89, 10 ]
90
[ "93+76=169", "89-10=79", "169-79=90" ]
Current State: 90:[93, 76, 89, 10], Operations: [] Exploring Operation: 93+76=169, Resulting Numbers: [89, 10, 169] Generated Node #2: [89, 10, 169] from Operation: 93+76=169 Current State: 90:[89, 10, 169], Operations: ['93+76=169'] Exploring Operation: 89-10=79, Resulting Numbers: [169, 79] Generated Node #3: [169, 79] from Operation: 89-10=79 Current State: 90:[169, 79], Operations: ['93+76=169', '89-10=79'] Exploring Operation: 169-79=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 93, 94, 43, 28 ]
72
[ "94-93=1", "43+28=71", "1+71=72" ]
Current State: 72:[93, 94, 43, 28], Operations: [] Exploring Operation: 94-93=1, Resulting Numbers: [43, 28, 1] Generated Node #2: [43, 28, 1] from Operation: 94-93=1 Current State: 72:[43, 28, 1], Operations: ['94-93=1'] Exploring Operation: 43+28=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 43+28=71 Current State: 72:[1, 71], Operations: ['94-93=1', '43+28=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 67, 32, 33, 95 ]
63
[ "33+95=128", "128/32=4", "67-4=63" ]
Current State: 63:[67, 32, 33, 95], Operations: [] Exploring Operation: 33+95=128, Resulting Numbers: [67, 32, 128] Generated Node #2: [67, 32, 128] from Operation: 33+95=128 Current State: 63:[67, 32, 128], Operations: ['33+95=128'] Exploring Operation: 128/32=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 128/32=4 Current State: 63:[67, 4], Operations: ['33+95=128', '128/32=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 57, 19, 24 ]
30
[ "9+24=33", "57/19=3", "33-3=30" ]
Current State: 30:[9, 57, 19, 24], Operations: [] Exploring Operation: 9+24=33, Resulting Numbers: [57, 19, 33] Generated Node #2: [57, 19, 33] from Operation: 9+24=33 Current State: 30:[57, 19, 33], Operations: ['9+24=33'] Exploring Operation: 57/19=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 57/19=3 Current State: 30:[33, 3], Operations: ['9+24=33', '57/19=3'] Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 43, 21, 17, 11 ]
34
[ "43-21=22", "17*22=374", "374/11=34" ]
Current State: 34:[43, 21, 17, 11], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [17, 11, 22] Generated Node #2: [17, 11, 22] from Operation: 43-21=22 Current State: 34:[17, 11, 22], Operations: ['43-21=22'] Exploring Operation: 17*22=374, Resulting Numbers: [11, 374] Generated Node #3: [11, 374] from Operation: 17*22=374 Current State: 34:[11, 374], Operations: ['43-21=22', '17*22=374'] Exploring Operation: 374/11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 68, 32, 34 ]
52
[ "32-6=26", "68/34=2", "26*2=52" ]
Current State: 52:[6, 68, 32, 34], Operations: [] Exploring Operation: 32-6=26, Resulting Numbers: [68, 34, 26] Generated Node #2: [68, 34, 26] from Operation: 32-6=26 Current State: 52:[68, 34, 26], Operations: ['32-6=26'] Exploring Operation: 68/34=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 68/34=2 Current State: 52:[26, 2], Operations: ['32-6=26', '68/34=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 87, 46, 77 ]
41
[ "87-84=3", "46+77=123", "123/3=41" ]
Current State: 41:[84, 87, 46, 77], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [46, 77, 3] Generated Node #2: [46, 77, 3] from Operation: 87-84=3 Current State: 41:[46, 77, 3], Operations: ['87-84=3'] Exploring Operation: 46+77=123, Resulting Numbers: [3, 123] Generated Node #3: [3, 123] from Operation: 46+77=123 Current State: 41:[3, 123], Operations: ['87-84=3', '46+77=123'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 88, 9, 3, 24 ]
70
[ "88+9=97", "3+24=27", "97-27=70" ]
Current State: 70:[88, 9, 3, 24], Operations: [] Exploring Operation: 88+9=97, Resulting Numbers: [3, 24, 97] Generated Node #2: [3, 24, 97] from Operation: 88+9=97 Current State: 70:[3, 24, 97], Operations: ['88+9=97'] Exploring Operation: 3+24=27, Resulting Numbers: [97, 27] Generated Node #3: [97, 27] from Operation: 3+24=27 Current State: 70:[97, 27], Operations: ['88+9=97', '3+24=27'] Exploring Operation: 97-27=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 49, 20, 49, 57 ]
37
[ "49+20=69", "49+57=106", "106-69=37" ]
Current State: 37:[49, 20, 49, 57], Operations: [] Exploring Operation: 49+20=69, Resulting Numbers: [57, 69] Generated Node #2: [57, 69] from Operation: 49+20=69 Current State: 37:[57, 69], Operations: ['49+20=69'] Exploring Operation: 49+57=106, Resulting Numbers: [69, 106] Generated Node #3: [69, 106] from Operation: 49+57=106 Current State: 37:[69, 106], Operations: ['49+20=69', '49+57=106'] Exploring Operation: 106-69=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 9, 41, 53, 59 ]
51
[ "59-41=18", "18/9=2", "53-2=51" ]
Current State: 51:[9, 41, 53, 59], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [9, 53, 18] Generated Node #2: [9, 53, 18] from Operation: 59-41=18 Current State: 51:[9, 53, 18], Operations: ['59-41=18'] Exploring Operation: 18/9=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 18/9=2 Current State: 51:[53, 2], Operations: ['59-41=18', '18/9=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 6, 2, 76 ]
50
[ "2+76=78", "78/6=13", "37+13=50" ]
Current State: 50:[37, 6, 2, 76], Operations: [] Exploring Operation: 2+76=78, Resulting Numbers: [37, 6, 78] Generated Node #2: [37, 6, 78] from Operation: 2+76=78 Current State: 50:[37, 6, 78], Operations: ['2+76=78'] Exploring Operation: 78/6=13, Resulting Numbers: [37, 13] Generated Node #3: [37, 13] from Operation: 78/6=13 Current State: 50:[37, 13], Operations: ['2+76=78', '78/6=13'] Exploring Operation: 37+13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 35, 66, 19 ]
70
[ "9*19=171", "35+66=101", "171-101=70" ]
Current State: 70:[9, 35, 66, 19], Operations: [] Exploring Operation: 9*19=171, Resulting Numbers: [35, 66, 171] Generated Node #2: [35, 66, 171] from Operation: 9*19=171 Current State: 70:[35, 66, 171], Operations: ['9*19=171'] Exploring Operation: 35+66=101, Resulting Numbers: [171, 101] Generated Node #3: [171, 101] from Operation: 35+66=101 Current State: 70:[171, 101], Operations: ['9*19=171', '35+66=101'] Exploring Operation: 171-101=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 20, 83, 1, 82 ]
40
[ "83+1=84", "84-82=2", "20*2=40" ]
Current State: 40:[20, 83, 1, 82], Operations: [] Exploring Operation: 83+1=84, Resulting Numbers: [20, 82, 84] Generated Node #2: [20, 82, 84] from Operation: 83+1=84 Current State: 40:[20, 82, 84], Operations: ['83+1=84'] Exploring Operation: 84-82=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 84-82=2 Current State: 40:[20, 2], Operations: ['83+1=84', '84-82=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 42, 65, 38 ]
65
[ "4*42=168", "65+38=103", "168-103=65" ]
Current State: 65:[4, 42, 65, 38], Operations: [] Exploring Operation: 4*42=168, Resulting Numbers: [65, 38, 168] Generated Node #2: [65, 38, 168] from Operation: 4*42=168 Current State: 65:[65, 38, 168], Operations: ['4*42=168'] Exploring Operation: 65+38=103, Resulting Numbers: [168, 103] Generated Node #3: [168, 103] from Operation: 65+38=103 Current State: 65:[168, 103], Operations: ['4*42=168', '65+38=103'] Exploring Operation: 168-103=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 61, 80, 75, 79 ]
76
[ "80-61=19", "79-75=4", "19*4=76" ]
Current State: 76:[61, 80, 75, 79], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [75, 79, 19] Generated Node #2: [75, 79, 19] from Operation: 80-61=19 Current State: 76:[75, 79, 19], Operations: ['80-61=19'] Exploring Operation: 79-75=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 79-75=4 Current State: 76:[19, 4], Operations: ['80-61=19', '79-75=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 36, 64, 8 ]
38
[ "64/4=16", "16/8=2", "36+2=38" ]
Current State: 38:[4, 36, 64, 8], Operations: [] Exploring Operation: 64/4=16, Resulting Numbers: [36, 8, 16] Generated Node #2: [36, 8, 16] from Operation: 64/4=16 Current State: 38:[36, 8, 16], Operations: ['64/4=16'] Exploring Operation: 16/8=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 16/8=2 Current State: 38:[36, 2], Operations: ['64/4=16', '16/8=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 11, 88, 22, 41 ]
45
[ "22/11=2", "88-41=47", "47-2=45" ]
Current State: 45:[11, 88, 22, 41], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [88, 41, 2] Generated Node #2: [88, 41, 2] from Operation: 22/11=2 Current State: 45:[88, 41, 2], Operations: ['22/11=2'] Exploring Operation: 88-41=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 88-41=47 Current State: 45:[2, 47], Operations: ['22/11=2', '88-41=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 27, 26, 9, 59 ]
67
[ "27-26=1", "9+59=68", "68-1=67" ]
Current State: 67:[27, 26, 9, 59], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [9, 59, 1] Generated Node #2: [9, 59, 1] from Operation: 27-26=1 Current State: 67:[9, 59, 1], Operations: ['27-26=1'] Exploring Operation: 9+59=68, Resulting Numbers: [1, 68] Generated Node #3: [1, 68] from Operation: 9+59=68 Current State: 67:[1, 68], Operations: ['27-26=1', '9+59=68'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 6, 41, 53 ]
59
[ "53-50=3", "6*3=18", "41+18=59" ]
Current State: 59:[50, 6, 41, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [6, 41, 3] Generated Node #2: [6, 41, 3] from Operation: 53-50=3 Current State: 59:[6, 41, 3], Operations: ['53-50=3'] Exploring Operation: 6*3=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 6*3=18 Current State: 59:[41, 18], Operations: ['53-50=3', '6*3=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 29, 43, 62 ]
93
[ "45+29=74", "62-43=19", "74+19=93" ]
Current State: 93:[45, 29, 43, 62], Operations: [] Exploring Operation: 45+29=74, Resulting Numbers: [43, 62, 74] Generated Node #2: [43, 62, 74] from Operation: 45+29=74 Current State: 93:[43, 62, 74], Operations: ['45+29=74'] Exploring Operation: 62-43=19, Resulting Numbers: [74, 19] Generated Node #3: [74, 19] from Operation: 62-43=19 Current State: 93:[74, 19], Operations: ['45+29=74', '62-43=19'] Exploring Operation: 74+19=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 85, 14, 39 ]
46
[ "14+85=99", "14+39=53", "99-53=46" ]
Current State: 46:[14, 85, 14, 39], Operations: [] Exploring Operation: 14+85=99, Resulting Numbers: [39, 99] Generated Node #2: [39, 99] from Operation: 14+85=99 Current State: 46:[39, 99], Operations: ['14+85=99'] Exploring Operation: 14+39=53, Resulting Numbers: [99, 53] Generated Node #3: [99, 53] from Operation: 14+39=53 Current State: 46:[99, 53], Operations: ['14+85=99', '14+39=53'] Exploring Operation: 99-53=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 35, 17, 52 ]
37
[ "35*52=1820", "1820/91=20", "17+20=37" ]
Current State: 37:[91, 35, 17, 52], Operations: [] Exploring Operation: 35*52=1820, Resulting Numbers: [91, 17, 1820] Generated Node #2: [91, 17, 1820] from Operation: 35*52=1820 Current State: 37:[91, 17, 1820], Operations: ['35*52=1820'] Exploring Operation: 1820/91=20, Resulting Numbers: [17, 20] Generated Node #3: [17, 20] from Operation: 1820/91=20 Current State: 37:[17, 20], Operations: ['35*52=1820', '1820/91=20'] Exploring Operation: 17+20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 71, 3, 92 ]
24
[ "13+71=84", "92-84=8", "3*8=24" ]
Current State: 24:[13, 71, 3, 92], Operations: [] Exploring Operation: 13+71=84, Resulting Numbers: [3, 92, 84] Generated Node #2: [3, 92, 84] from Operation: 13+71=84 Current State: 24:[3, 92, 84], Operations: ['13+71=84'] Exploring Operation: 92-84=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 92-84=8 Current State: 24:[3, 8], Operations: ['13+71=84', '92-84=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 69, 4, 28, 6 ]
31
[ "69-4=65", "28+6=34", "65-34=31" ]
Current State: 31:[69, 4, 28, 6], Operations: [] Exploring Operation: 69-4=65, Resulting Numbers: [28, 6, 65] Generated Node #2: [28, 6, 65] from Operation: 69-4=65 Current State: 31:[28, 6, 65], Operations: ['69-4=65'] Exploring Operation: 28+6=34, Resulting Numbers: [65, 34] Generated Node #3: [65, 34] from Operation: 28+6=34 Current State: 31:[65, 34], Operations: ['69-4=65', '28+6=34'] Exploring Operation: 65-34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 2, 74, 42, 22 ]
73
[ "42/2=21", "74-22=52", "21+52=73" ]
Current State: 73:[2, 74, 42, 22], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [74, 22, 21] Generated Node #2: [74, 22, 21] from Operation: 42/2=21 Current State: 73:[74, 22, 21], Operations: ['42/2=21'] Exploring Operation: 74-22=52, Resulting Numbers: [21, 52] Generated Node #3: [21, 52] from Operation: 74-22=52 Current State: 73:[21, 52], Operations: ['42/2=21', '74-22=52'] Exploring Operation: 21+52=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 23, 24, 32, 64 ]
33
[ "24-23=1", "64-32=32", "1+32=33" ]
Current State: 33:[23, 24, 32, 64], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [32, 64, 1] Generated Node #2: [32, 64, 1] from Operation: 24-23=1 Current State: 33:[32, 64, 1], Operations: ['24-23=1'] Exploring Operation: 64-32=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 64-32=32 Current State: 33:[1, 32], Operations: ['24-23=1', '64-32=32'] Exploring Operation: 1+32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 14, 36, 10, 69 ]
57
[ "36-14=22", "10+69=79", "79-22=57" ]
Current State: 57:[14, 36, 10, 69], Operations: [] Exploring Operation: 36-14=22, Resulting Numbers: [10, 69, 22] Generated Node #2: [10, 69, 22] from Operation: 36-14=22 Current State: 57:[10, 69, 22], Operations: ['36-14=22'] Exploring Operation: 10+69=79, Resulting Numbers: [22, 79] Generated Node #3: [22, 79] from Operation: 10+69=79 Current State: 57:[22, 79], Operations: ['36-14=22', '10+69=79'] Exploring Operation: 79-22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 94, 57, 61, 5 ]
95
[ "94+57=151", "61-5=56", "151-56=95" ]
Current State: 95:[94, 57, 61, 5], Operations: [] Exploring Operation: 94+57=151, Resulting Numbers: [61, 5, 151] Generated Node #2: [61, 5, 151] from Operation: 94+57=151 Current State: 95:[61, 5, 151], Operations: ['94+57=151'] Exploring Operation: 61-5=56, Resulting Numbers: [151, 56] Generated Node #3: [151, 56] from Operation: 61-5=56 Current State: 95:[151, 56], Operations: ['94+57=151', '61-5=56'] Exploring Operation: 151-56=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 56, 52, 91 ]
52
[ "97*52=5044", "56*91=5096", "5096-5044=52" ]
Current State: 52:[97, 56, 52, 91], Operations: [] Exploring Operation: 97*52=5044, Resulting Numbers: [56, 91, 5044] Generated Node #2: [56, 91, 5044] from Operation: 97*52=5044 Current State: 52:[56, 91, 5044], Operations: ['97*52=5044'] Exploring Operation: 56*91=5096, Resulting Numbers: [5044, 5096] Generated Node #3: [5044, 5096] from Operation: 56*91=5096 Current State: 52:[5044, 5096], Operations: ['97*52=5044', '56*91=5096'] Exploring Operation: 5096-5044=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 74, 47, 29, 86 ]
43
[ "74-47=27", "29-27=2", "86/2=43" ]
Current State: 43:[74, 47, 29, 86], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [29, 86, 27] Generated Node #2: [29, 86, 27] from Operation: 74-47=27 Current State: 43:[29, 86, 27], Operations: ['74-47=27'] Exploring Operation: 29-27=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 29-27=2 Current State: 43:[86, 2], Operations: ['74-47=27', '29-27=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 72, 4, 20, 31 ]
28
[ "4+20=24", "72/24=3", "31-3=28" ]
Current State: 28:[72, 4, 20, 31], Operations: [] Exploring Operation: 4+20=24, Resulting Numbers: [72, 31, 24] Generated Node #2: [72, 31, 24] from Operation: 4+20=24 Current State: 28:[72, 31, 24], Operations: ['4+20=24'] Exploring Operation: 72/24=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 72/24=3 Current State: 28:[31, 3], Operations: ['4+20=24', '72/24=3'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 30, 65, 72 ]
92
[ "30*72=2160", "2160/80=27", "65+27=92" ]
Current State: 92:[80, 30, 65, 72], Operations: [] Exploring Operation: 30*72=2160, Resulting Numbers: [80, 65, 2160] Generated Node #2: [80, 65, 2160] from Operation: 30*72=2160 Current State: 92:[80, 65, 2160], Operations: ['30*72=2160'] Exploring Operation: 2160/80=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 2160/80=27 Current State: 92:[65, 27], Operations: ['30*72=2160', '2160/80=27'] Exploring Operation: 65+27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 32, 64, 52 ]
68
[ "45-32=13", "52/13=4", "64+4=68" ]
Current State: 68:[45, 32, 64, 52], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [64, 52, 13] Generated Node #2: [64, 52, 13] from Operation: 45-32=13 Current State: 68:[64, 52, 13], Operations: ['45-32=13'] Exploring Operation: 52/13=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 52/13=4 Current State: 68:[64, 4], Operations: ['45-32=13', '52/13=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 41, 13, 11 ]
27
[ "5*11=55", "41-13=28", "55-28=27" ]
Current State: 27:[5, 41, 13, 11], Operations: [] Exploring Operation: 5*11=55, Resulting Numbers: [41, 13, 55] Generated Node #2: [41, 13, 55] from Operation: 5*11=55 Current State: 27:[41, 13, 55], Operations: ['5*11=55'] Exploring Operation: 41-13=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 41-13=28 Current State: 27:[55, 28], Operations: ['5*11=55', '41-13=28'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 2, 10, 57 ]
37
[ "32-2=30", "10+57=67", "67-30=37" ]
Current State: 37:[32, 2, 10, 57], Operations: [] Exploring Operation: 32-2=30, Resulting Numbers: [10, 57, 30] Generated Node #2: [10, 57, 30] from Operation: 32-2=30 Current State: 37:[10, 57, 30], Operations: ['32-2=30'] Exploring Operation: 10+57=67, Resulting Numbers: [30, 67] Generated Node #3: [30, 67] from Operation: 10+57=67 Current State: 37:[30, 67], Operations: ['32-2=30', '10+57=67'] Exploring Operation: 67-30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 67, 42, 39, 51 ]
97
[ "67+42=109", "51-39=12", "109-12=97" ]
Current State: 97:[67, 42, 39, 51], Operations: [] Exploring Operation: 67+42=109, Resulting Numbers: [39, 51, 109] Generated Node #2: [39, 51, 109] from Operation: 67+42=109 Current State: 97:[39, 51, 109], Operations: ['67+42=109'] Exploring Operation: 51-39=12, Resulting Numbers: [109, 12] Generated Node #3: [109, 12] from Operation: 51-39=12 Current State: 97:[109, 12], Operations: ['67+42=109', '51-39=12'] Exploring Operation: 109-12=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 92, 77, 28 ]
69
[ "92-28=64", "64/8=8", "77-8=69" ]
Current State: 69:[8, 92, 77, 28], Operations: [] Exploring Operation: 92-28=64, Resulting Numbers: [8, 77, 64] Generated Node #2: [8, 77, 64] from Operation: 92-28=64 Current State: 69:[8, 77, 64], Operations: ['92-28=64'] Exploring Operation: 64/8=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 64/8=8 Current State: 69:[77, 8], Operations: ['92-28=64', '64/8=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 72, 30, 31 ]
67
[ "72-5=67", "31-30=1", "67*1=67" ]
Current State: 67:[5, 72, 30, 31], Operations: [] Exploring Operation: 72-5=67, Resulting Numbers: [30, 31, 67] Generated Node #2: [30, 31, 67] from Operation: 72-5=67 Current State: 67:[30, 31, 67], Operations: ['72-5=67'] Exploring Operation: 31-30=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 31-30=1 Current State: 67:[67, 1], Operations: ['72-5=67', '31-30=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 85, 27, 14 ]
15
[ "85+27=112", "112/14=8", "23-8=15" ]
Current State: 15:[23, 85, 27, 14], Operations: [] Exploring Operation: 85+27=112, Resulting Numbers: [23, 14, 112] Generated Node #2: [23, 14, 112] from Operation: 85+27=112 Current State: 15:[23, 14, 112], Operations: ['85+27=112'] Exploring Operation: 112/14=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 112/14=8 Current State: 15:[23, 8], Operations: ['85+27=112', '112/14=8'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 54, 18, 65 ]
40
[ "65-54=11", "2*11=22", "18+22=40" ]
Current State: 40:[2, 54, 18, 65], Operations: [] Exploring Operation: 65-54=11, Resulting Numbers: [2, 18, 11] Generated Node #2: [2, 18, 11] from Operation: 65-54=11 Current State: 40:[2, 18, 11], Operations: ['65-54=11'] Exploring Operation: 2*11=22, Resulting Numbers: [18, 22] Generated Node #3: [18, 22] from Operation: 2*11=22 Current State: 40:[18, 22], Operations: ['65-54=11', '2*11=22'] Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 50, 30, 19, 43 ]
42
[ "50-30=20", "19+43=62", "62-20=42" ]
Current State: 42:[50, 30, 19, 43], Operations: [] Exploring Operation: 50-30=20, Resulting Numbers: [19, 43, 20] Generated Node #2: [19, 43, 20] from Operation: 50-30=20 Current State: 42:[19, 43, 20], Operations: ['50-30=20'] Exploring Operation: 19+43=62, Resulting Numbers: [20, 62] Generated Node #3: [20, 62] from Operation: 19+43=62 Current State: 42:[20, 62], Operations: ['50-30=20', '19+43=62'] Exploring Operation: 62-20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 88, 35, 45, 46 ]
38
[ "88-35=53", "45+46=91", "91-53=38" ]
Current State: 38:[88, 35, 45, 46], Operations: [] Exploring Operation: 88-35=53, Resulting Numbers: [45, 46, 53] Generated Node #2: [45, 46, 53] from Operation: 88-35=53 Current State: 38:[45, 46, 53], Operations: ['88-35=53'] Exploring Operation: 45+46=91, Resulting Numbers: [53, 91] Generated Node #3: [53, 91] from Operation: 45+46=91 Current State: 38:[53, 91], Operations: ['88-35=53', '45+46=91'] Exploring Operation: 91-53=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 30, 60, 90 ]
60
[ "65-60=5", "30*5=150", "150-90=60" ]
Current State: 60:[65, 30, 60, 90], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [30, 90, 5] Generated Node #2: [30, 90, 5] from Operation: 65-60=5 Current State: 60:[30, 90, 5], Operations: ['65-60=5'] Exploring Operation: 30*5=150, Resulting Numbers: [90, 150] Generated Node #3: [90, 150] from Operation: 30*5=150 Current State: 60:[90, 150], Operations: ['65-60=5', '30*5=150'] Exploring Operation: 150-90=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 55, 80, 48, 46 ]
69
[ "80-55=25", "48+46=94", "94-25=69" ]
Current State: 69:[55, 80, 48, 46], Operations: [] Exploring Operation: 80-55=25, Resulting Numbers: [48, 46, 25] Generated Node #2: [48, 46, 25] from Operation: 80-55=25 Current State: 69:[48, 46, 25], Operations: ['80-55=25'] Exploring Operation: 48+46=94, Resulting Numbers: [25, 94] Generated Node #3: [25, 94] from Operation: 48+46=94 Current State: 69:[25, 94], Operations: ['80-55=25', '48+46=94'] Exploring Operation: 94-25=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 48, 36, 32 ]
98
[ "46+48=94", "36-32=4", "94+4=98" ]
Current State: 98:[46, 48, 36, 32], Operations: [] Exploring Operation: 46+48=94, Resulting Numbers: [36, 32, 94] Generated Node #2: [36, 32, 94] from Operation: 46+48=94 Current State: 98:[36, 32, 94], Operations: ['46+48=94'] Exploring Operation: 36-32=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 36-32=4 Current State: 98:[94, 4], Operations: ['46+48=94', '36-32=4'] Exploring Operation: 94+4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 5, 98, 9, 38 ]
46
[ "98-5=93", "9+38=47", "93-47=46" ]
Current State: 46:[5, 98, 9, 38], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [9, 38, 93] Generated Node #2: [9, 38, 93] from Operation: 98-5=93 Current State: 46:[9, 38, 93], Operations: ['98-5=93'] Exploring Operation: 9+38=47, Resulting Numbers: [93, 47] Generated Node #3: [93, 47] from Operation: 9+38=47 Current State: 46:[93, 47], Operations: ['98-5=93', '9+38=47'] Exploring Operation: 93-47=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 30, 7, 5, 28 ]
29
[ "30-5=25", "28/7=4", "25+4=29" ]
Current State: 29:[30, 7, 5, 28], Operations: [] Exploring Operation: 30-5=25, Resulting Numbers: [7, 28, 25] Generated Node #2: [7, 28, 25] from Operation: 30-5=25 Current State: 29:[7, 28, 25], Operations: ['30-5=25'] Exploring Operation: 28/7=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 28/7=4 Current State: 29:[25, 4], Operations: ['30-5=25', '28/7=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 51, 90, 92 ]
86
[ "33+51=84", "92-90=2", "84+2=86" ]
Current State: 86:[33, 51, 90, 92], Operations: [] Exploring Operation: 33+51=84, Resulting Numbers: [90, 92, 84] Generated Node #2: [90, 92, 84] from Operation: 33+51=84 Current State: 86:[90, 92, 84], Operations: ['33+51=84'] Exploring Operation: 92-90=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 92-90=2 Current State: 86:[84, 2], Operations: ['33+51=84', '92-90=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 57, 8, 46, 13 ]
82
[ "57-8=49", "46-13=33", "49+33=82" ]
Current State: 82:[57, 8, 46, 13], Operations: [] Exploring Operation: 57-8=49, Resulting Numbers: [46, 13, 49] Generated Node #2: [46, 13, 49] from Operation: 57-8=49 Current State: 82:[46, 13, 49], Operations: ['57-8=49'] Exploring Operation: 46-13=33, Resulting Numbers: [49, 33] Generated Node #3: [49, 33] from Operation: 46-13=33 Current State: 82:[49, 33], Operations: ['57-8=49', '46-13=33'] Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4