Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 68, 40, 24, 36 ]
88
[ "68-40=28", "24+36=60", "28+60=88" ]
Current State: 88:[68, 40, 24, 36], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [24, 36, 28] Generated Node #2: [24, 36, 28] from Operation: 68-40=28 Current State: 88:[24, 36, 28], Operations: ['68-40=28'] Exploring Operation: 24+36=60, Resulting Numbers: [28, 60] Generated Node #3: [28, 60] from Operation: 24+36=60 Current State: 88:[28, 60], Operations: ['68-40=28', '24+36=60'] Exploring Operation: 28+60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 74, 4, 63 ]
34
[ "63-36=27", "4*27=108", "108-74=34" ]
Current State: 34:[36, 74, 4, 63], Operations: [] Exploring Operation: 63-36=27, Resulting Numbers: [74, 4, 27] Generated Node #2: [74, 4, 27] from Operation: 63-36=27 Current State: 34:[74, 4, 27], Operations: ['63-36=27'] Exploring Operation: 4*27=108, Resulting Numbers: [74, 108] Generated Node #3: [74, 108] from Operation: 4*27=108 Current State: 34:[74, 108], Operations: ['63-36=27', '4*27=108'] Exploring Operation: 108-74=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 26, 38, 67, 2 ]
43
[ "38-26=12", "2*12=24", "67-24=43" ]
Current State: 43:[26, 38, 67, 2], Operations: [] Exploring Operation: 38-26=12, Resulting Numbers: [67, 2, 12] Generated Node #2: [67, 2, 12] from Operation: 38-26=12 Current State: 43:[67, 2, 12], Operations: ['38-26=12'] Exploring Operation: 2*12=24, Resulting Numbers: [67, 24] Generated Node #3: [67, 24] from Operation: 2*12=24 Current State: 43:[67, 24], Operations: ['38-26=12', '2*12=24'] Exploring Operation: 67-24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 13, 8, 20 ]
65
[ "23-8=15", "20-15=5", "13*5=65" ]
Current State: 65:[23, 13, 8, 20], Operations: [] Exploring Operation: 23-8=15, Resulting Numbers: [13, 20, 15] Generated Node #2: [13, 20, 15] from Operation: 23-8=15 Current State: 65:[13, 20, 15], Operations: ['23-8=15'] Exploring Operation: 20-15=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 20-15=5 Current State: 65:[13, 5], Operations: ['23-8=15', '20-15=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 67, 35, 6, 88 ]
91
[ "88-67=21", "6*21=126", "126-35=91" ]
Current State: 91:[67, 35, 6, 88], Operations: [] Exploring Operation: 88-67=21, Resulting Numbers: [35, 6, 21] Generated Node #2: [35, 6, 21] from Operation: 88-67=21 Current State: 91:[35, 6, 21], Operations: ['88-67=21'] Exploring Operation: 6*21=126, Resulting Numbers: [35, 126] Generated Node #3: [35, 126] from Operation: 6*21=126 Current State: 91:[35, 126], Operations: ['88-67=21', '6*21=126'] Exploring Operation: 126-35=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 19, 7, 65, 4 ]
14
[ "19+65=84", "84/4=21", "21-7=14" ]
Current State: 14:[19, 7, 65, 4], Operations: [] Exploring Operation: 19+65=84, Resulting Numbers: [7, 4, 84] Generated Node #2: [7, 4, 84] from Operation: 19+65=84 Current State: 14:[7, 4, 84], Operations: ['19+65=84'] Exploring Operation: 84/4=21, Resulting Numbers: [7, 21] Generated Node #3: [7, 21] from Operation: 84/4=21 Current State: 14:[7, 21], Operations: ['19+65=84', '84/4=21'] Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 94, 59, 5 ]
10
[ "94-59=35", "5+35=40", "40/4=10" ]
Current State: 10:[4, 94, 59, 5], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [4, 5, 35] Generated Node #2: [4, 5, 35] from Operation: 94-59=35 Current State: 10:[4, 5, 35], Operations: ['94-59=35'] Exploring Operation: 5+35=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 5+35=40 Current State: 10:[4, 40], Operations: ['94-59=35', '5+35=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 16, 63, 28, 20 ]
89
[ "63*28=1764", "16+1764=1780", "1780/20=89" ]
Current State: 89:[16, 63, 28, 20], Operations: [] Exploring Operation: 63*28=1764, Resulting Numbers: [16, 20, 1764] Generated Node #2: [16, 20, 1764] from Operation: 63*28=1764 Current State: 89:[16, 20, 1764], Operations: ['63*28=1764'] Exploring Operation: 16+1764=1780, Resulting Numbers: [20, 1780] Generated Node #3: [20, 1780] from Operation: 16+1764=1780 Current State: 89:[20, 1780], Operations: ['63*28=1764', '16+1764=1780'] Exploring Operation: 1780/20=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 56, 5, 56, 48 ]
53
[ "56+5=61", "56-48=8", "61-8=53" ]
Current State: 53:[56, 5, 56, 48], Operations: [] Exploring Operation: 56+5=61, Resulting Numbers: [48, 61] Generated Node #2: [48, 61] from Operation: 56+5=61 Current State: 53:[48, 61], Operations: ['56+5=61'] Exploring Operation: 56-48=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 56-48=8 Current State: 53:[61, 8], Operations: ['56+5=61', '56-48=8'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 53, 97, 51 ]
69
[ "76-53=23", "97-51=46", "23+46=69" ]
Current State: 69:[76, 53, 97, 51], Operations: [] Exploring Operation: 76-53=23, Resulting Numbers: [97, 51, 23] Generated Node #2: [97, 51, 23] from Operation: 76-53=23 Current State: 69:[97, 51, 23], Operations: ['76-53=23'] Exploring Operation: 97-51=46, Resulting Numbers: [23, 46] Generated Node #3: [23, 46] from Operation: 97-51=46 Current State: 69:[23, 46], Operations: ['76-53=23', '97-51=46'] Exploring Operation: 23+46=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 2, 32, 90 ]
24
[ "32-11=21", "90/2=45", "45-21=24" ]
Current State: 24:[11, 2, 32, 90], Operations: [] Exploring Operation: 32-11=21, Resulting Numbers: [2, 90, 21] Generated Node #2: [2, 90, 21] from Operation: 32-11=21 Current State: 24:[2, 90, 21], Operations: ['32-11=21'] Exploring Operation: 90/2=45, Resulting Numbers: [21, 45] Generated Node #3: [21, 45] from Operation: 90/2=45 Current State: 24:[21, 45], Operations: ['32-11=21', '90/2=45'] Exploring Operation: 45-21=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 73, 75, 22 ]
46
[ "75-73=2", "22/2=11", "35+11=46" ]
Current State: 46:[35, 73, 75, 22], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [35, 22, 2] Generated Node #2: [35, 22, 2] from Operation: 75-73=2 Current State: 46:[35, 22, 2], Operations: ['75-73=2'] Exploring Operation: 22/2=11, Resulting Numbers: [35, 11] Generated Node #3: [35, 11] from Operation: 22/2=11 Current State: 46:[35, 11], Operations: ['75-73=2', '22/2=11'] Exploring Operation: 35+11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 14, 70, 87, 1 ]
31
[ "70-14=56", "87*1=87", "87-56=31" ]
Current State: 31:[14, 70, 87, 1], Operations: [] Exploring Operation: 70-14=56, Resulting Numbers: [87, 1, 56] Generated Node #2: [87, 1, 56] from Operation: 70-14=56 Current State: 31:[87, 1, 56], Operations: ['70-14=56'] Exploring Operation: 87*1=87, Resulting Numbers: [56, 87] Generated Node #3: [56, 87] from Operation: 87*1=87 Current State: 31:[56, 87], Operations: ['70-14=56', '87*1=87'] Exploring Operation: 87-56=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 6, 95, 96 ]
19
[ "13+6=19", "96-95=1", "19*1=19" ]
Current State: 19:[13, 6, 95, 96], Operations: [] Exploring Operation: 13+6=19, Resulting Numbers: [95, 96, 19] Generated Node #2: [95, 96, 19] from Operation: 13+6=19 Current State: 19:[95, 96, 19], Operations: ['13+6=19'] Exploring Operation: 96-95=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 96-95=1 Current State: 19:[19, 1], Operations: ['13+6=19', '96-95=1'] Exploring Operation: 19*1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 19, 27, 10, 36 ]
33
[ "19-10=9", "27/9=3", "36-3=33" ]
Current State: 33:[19, 27, 10, 36], Operations: [] Exploring Operation: 19-10=9, Resulting Numbers: [27, 36, 9] Generated Node #2: [27, 36, 9] from Operation: 19-10=9 Current State: 33:[27, 36, 9], Operations: ['19-10=9'] Exploring Operation: 27/9=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 27/9=3 Current State: 33:[36, 3], Operations: ['19-10=9', '27/9=3'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 93, 69, 71 ]
69
[ "93-22=71", "69+71=140", "140-71=69" ]
Current State: 69:[22, 93, 69, 71], Operations: [] Exploring Operation: 93-22=71, Resulting Numbers: [69, 71, 71] Generated Node #2: [69, 71, 71] from Operation: 93-22=71 Current State: 69:[69, 71, 71], Operations: ['93-22=71'] Exploring Operation: 69+71=140, Resulting Numbers: [140] 140,69 equal: Goal Reached Exploring Operation: 140-71=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 59, 33, 70 ]
64
[ "33-19=14", "70/14=5", "59+5=64" ]
Current State: 64:[19, 59, 33, 70], Operations: [] Exploring Operation: 33-19=14, Resulting Numbers: [59, 70, 14] Generated Node #2: [59, 70, 14] from Operation: 33-19=14 Current State: 64:[59, 70, 14], Operations: ['33-19=14'] Exploring Operation: 70/14=5, Resulting Numbers: [59, 5] Generated Node #3: [59, 5] from Operation: 70/14=5 Current State: 64:[59, 5], Operations: ['33-19=14', '70/14=5'] Exploring Operation: 59+5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 35, 69, 73, 65 ]
34
[ "35+69=104", "73+65=138", "138-104=34" ]
Current State: 34:[35, 69, 73, 65], Operations: [] Exploring Operation: 35+69=104, Resulting Numbers: [73, 65, 104] Generated Node #2: [73, 65, 104] from Operation: 35+69=104 Current State: 34:[73, 65, 104], Operations: ['35+69=104'] Exploring Operation: 73+65=138, Resulting Numbers: [104, 138] Generated Node #3: [104, 138] from Operation: 73+65=138 Current State: 34:[104, 138], Operations: ['35+69=104', '73+65=138'] Exploring Operation: 138-104=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 95, 36, 61, 83 ]
91
[ "61+83=144", "144/36=4", "95-4=91" ]
Current State: 91:[95, 36, 61, 83], Operations: [] Exploring Operation: 61+83=144, Resulting Numbers: [95, 36, 144] Generated Node #2: [95, 36, 144] from Operation: 61+83=144 Current State: 91:[95, 36, 144], Operations: ['61+83=144'] Exploring Operation: 144/36=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 144/36=4 Current State: 91:[95, 4], Operations: ['61+83=144', '144/36=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 1, 45, 52 ]
17
[ "45/15=3", "52-1=51", "51/3=17" ]
Current State: 17:[15, 1, 45, 52], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [1, 52, 3] Generated Node #2: [1, 52, 3] from Operation: 45/15=3 Current State: 17:[1, 52, 3], Operations: ['45/15=3'] Exploring Operation: 52-1=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 52-1=51 Current State: 17:[3, 51], Operations: ['45/15=3', '52-1=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 55, 41, 64 ]
79
[ "1+55=56", "64-41=23", "56+23=79" ]
Current State: 79:[1, 55, 41, 64], Operations: [] Exploring Operation: 1+55=56, Resulting Numbers: [41, 64, 56] Generated Node #2: [41, 64, 56] from Operation: 1+55=56 Current State: 79:[41, 64, 56], Operations: ['1+55=56'] Exploring Operation: 64-41=23, Resulting Numbers: [56, 23] Generated Node #3: [56, 23] from Operation: 64-41=23 Current State: 79:[56, 23], Operations: ['1+55=56', '64-41=23'] Exploring Operation: 56+23=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 90, 61, 76 ]
50
[ "76-61=15", "90*15=1350", "1350/27=50" ]
Current State: 50:[27, 90, 61, 76], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [27, 90, 15] Generated Node #2: [27, 90, 15] from Operation: 76-61=15 Current State: 50:[27, 90, 15], Operations: ['76-61=15'] Exploring Operation: 90*15=1350, Resulting Numbers: [27, 1350] Generated Node #3: [27, 1350] from Operation: 90*15=1350 Current State: 50:[27, 1350], Operations: ['76-61=15', '90*15=1350'] Exploring Operation: 1350/27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 49, 53, 22, 3 ]
77
[ "49+53=102", "22+3=25", "102-25=77" ]
Current State: 77:[49, 53, 22, 3], Operations: [] Exploring Operation: 49+53=102, Resulting Numbers: [22, 3, 102] Generated Node #2: [22, 3, 102] from Operation: 49+53=102 Current State: 77:[22, 3, 102], Operations: ['49+53=102'] Exploring Operation: 22+3=25, Resulting Numbers: [102, 25] Generated Node #3: [102, 25] from Operation: 22+3=25 Current State: 77:[102, 25], Operations: ['49+53=102', '22+3=25'] Exploring Operation: 102-25=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 69, 38, 12, 4 ]
71
[ "69+12=81", "38*4=152", "152-81=71" ]
Current State: 71:[69, 38, 12, 4], Operations: [] Exploring Operation: 69+12=81, Resulting Numbers: [38, 4, 81] Generated Node #2: [38, 4, 81] from Operation: 69+12=81 Current State: 71:[38, 4, 81], Operations: ['69+12=81'] Exploring Operation: 38*4=152, Resulting Numbers: [81, 152] Generated Node #3: [81, 152] from Operation: 38*4=152 Current State: 71:[81, 152], Operations: ['69+12=81', '38*4=152'] Exploring Operation: 152-81=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 3, 35, 2 ]
51
[ "54/3=18", "35-2=33", "18+33=51" ]
Current State: 51:[54, 3, 35, 2], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [35, 2, 18] Generated Node #2: [35, 2, 18] from Operation: 54/3=18 Current State: 51:[35, 2, 18], Operations: ['54/3=18'] Exploring Operation: 35-2=33, Resulting Numbers: [18, 33] Generated Node #3: [18, 33] from Operation: 35-2=33 Current State: 51:[18, 33], Operations: ['54/3=18', '35-2=33'] Exploring Operation: 18+33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 43, 63, 17, 16 ]
53
[ "63-43=20", "17+16=33", "20+33=53" ]
Current State: 53:[43, 63, 17, 16], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [17, 16, 20] Generated Node #2: [17, 16, 20] from Operation: 63-43=20 Current State: 53:[17, 16, 20], Operations: ['63-43=20'] Exploring Operation: 17+16=33, Resulting Numbers: [20, 33] Generated Node #3: [20, 33] from Operation: 17+16=33 Current State: 53:[20, 33], Operations: ['63-43=20', '17+16=33'] Exploring Operation: 20+33=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 29, 43, 5 ]
69
[ "78+29=107", "43-5=38", "107-38=69" ]
Current State: 69:[78, 29, 43, 5], Operations: [] Exploring Operation: 78+29=107, Resulting Numbers: [43, 5, 107] Generated Node #2: [43, 5, 107] from Operation: 78+29=107 Current State: 69:[43, 5, 107], Operations: ['78+29=107'] Exploring Operation: 43-5=38, Resulting Numbers: [107, 38] Generated Node #3: [107, 38] from Operation: 43-5=38 Current State: 69:[107, 38], Operations: ['78+29=107', '43-5=38'] Exploring Operation: 107-38=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 25, 68, 69, 3 ]
70
[ "25+68=93", "69/3=23", "93-23=70" ]
Current State: 70:[25, 68, 69, 3], Operations: [] Exploring Operation: 25+68=93, Resulting Numbers: [69, 3, 93] Generated Node #2: [69, 3, 93] from Operation: 25+68=93 Current State: 70:[69, 3, 93], Operations: ['25+68=93'] Exploring Operation: 69/3=23, Resulting Numbers: [93, 23] Generated Node #3: [93, 23] from Operation: 69/3=23 Current State: 70:[93, 23], Operations: ['25+68=93', '69/3=23'] Exploring Operation: 93-23=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 28, 25, 55, 80 ]
27
[ "25+55=80", "80/80=1", "28-1=27" ]
Current State: 27:[28, 25, 55, 80], Operations: [] Exploring Operation: 25+55=80, Resulting Numbers: [28, 80, 80] Generated Node #2: [28, 80, 80] from Operation: 25+55=80 Current State: 27:[28, 80, 80], Operations: ['25+55=80'] Exploring Operation: 80/80=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 80/80=1 Current State: 27:[28, 1], Operations: ['25+55=80', '80/80=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 94, 56, 38, 19 ]
75
[ "94+56=150", "38/19=2", "150/2=75" ]
Current State: 75:[94, 56, 38, 19], Operations: [] Exploring Operation: 94+56=150, Resulting Numbers: [38, 19, 150] Generated Node #2: [38, 19, 150] from Operation: 94+56=150 Current State: 75:[38, 19, 150], Operations: ['94+56=150'] Exploring Operation: 38/19=2, Resulting Numbers: [150, 2] Generated Node #3: [150, 2] from Operation: 38/19=2 Current State: 75:[150, 2], Operations: ['94+56=150', '38/19=2'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 61, 84, 81 ]
77
[ "84-61=23", "92/23=4", "81-4=77" ]
Current State: 77:[92, 61, 84, 81], Operations: [] Exploring Operation: 84-61=23, Resulting Numbers: [92, 81, 23] Generated Node #2: [92, 81, 23] from Operation: 84-61=23 Current State: 77:[92, 81, 23], Operations: ['84-61=23'] Exploring Operation: 92/23=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 92/23=4 Current State: 77:[81, 4], Operations: ['84-61=23', '92/23=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 16, 57, 41, 62 ]
30
[ "16+57=73", "41+62=103", "103-73=30" ]
Current State: 30:[16, 57, 41, 62], Operations: [] Exploring Operation: 16+57=73, Resulting Numbers: [41, 62, 73] Generated Node #2: [41, 62, 73] from Operation: 16+57=73 Current State: 30:[41, 62, 73], Operations: ['16+57=73'] Exploring Operation: 41+62=103, Resulting Numbers: [73, 103] Generated Node #3: [73, 103] from Operation: 41+62=103 Current State: 30:[73, 103], Operations: ['16+57=73', '41+62=103'] Exploring Operation: 103-73=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 91, 58, 50 ]
79
[ "31*91=2821", "58*50=2900", "2900-2821=79" ]
Current State: 79:[31, 91, 58, 50], Operations: [] Exploring Operation: 31*91=2821, Resulting Numbers: [58, 50, 2821] Generated Node #2: [58, 50, 2821] from Operation: 31*91=2821 Current State: 79:[58, 50, 2821], Operations: ['31*91=2821'] Exploring Operation: 58*50=2900, Resulting Numbers: [2821, 2900] Generated Node #3: [2821, 2900] from Operation: 58*50=2900 Current State: 79:[2821, 2900], Operations: ['31*91=2821', '58*50=2900'] Exploring Operation: 2900-2821=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 29, 84, 95, 16 ]
24
[ "84-29=55", "95-16=79", "79-55=24" ]
Current State: 24:[29, 84, 95, 16], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [95, 16, 55] Generated Node #2: [95, 16, 55] from Operation: 84-29=55 Current State: 24:[95, 16, 55], Operations: ['84-29=55'] Exploring Operation: 95-16=79, Resulting Numbers: [55, 79] Generated Node #3: [55, 79] from Operation: 95-16=79 Current State: 24:[55, 79], Operations: ['84-29=55', '95-16=79'] Exploring Operation: 79-55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 31, 11, 1, 37 ]
56
[ "31-11=20", "37-1=36", "20+36=56" ]
Current State: 56:[31, 11, 1, 37], Operations: [] Exploring Operation: 31-11=20, Resulting Numbers: [1, 37, 20] Generated Node #2: [1, 37, 20] from Operation: 31-11=20 Current State: 56:[1, 37, 20], Operations: ['31-11=20'] Exploring Operation: 37-1=36, Resulting Numbers: [20, 36] Generated Node #3: [20, 36] from Operation: 37-1=36 Current State: 56:[20, 36], Operations: ['31-11=20', '37-1=36'] Exploring Operation: 20+36=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 28, 7, 33, 14 ]
80
[ "28/14=2", "7+33=40", "2*40=80" ]
Current State: 80:[28, 7, 33, 14], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [7, 33, 2] Generated Node #2: [7, 33, 2] from Operation: 28/14=2 Current State: 80:[7, 33, 2], Operations: ['28/14=2'] Exploring Operation: 7+33=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 7+33=40 Current State: 80:[2, 40], Operations: ['28/14=2', '7+33=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 46, 51, 85 ]
25
[ "65+46=111", "51+85=136", "136-111=25" ]
Current State: 25:[65, 46, 51, 85], Operations: [] Exploring Operation: 65+46=111, Resulting Numbers: [51, 85, 111] Generated Node #2: [51, 85, 111] from Operation: 65+46=111 Current State: 25:[51, 85, 111], Operations: ['65+46=111'] Exploring Operation: 51+85=136, Resulting Numbers: [111, 136] Generated Node #3: [111, 136] from Operation: 51+85=136 Current State: 25:[111, 136], Operations: ['65+46=111', '51+85=136'] Exploring Operation: 136-111=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 83, 15, 17, 10 ]
44
[ "83-17=66", "10*66=660", "660/15=44" ]
Current State: 44:[83, 15, 17, 10], Operations: [] Exploring Operation: 83-17=66, Resulting Numbers: [15, 10, 66] Generated Node #2: [15, 10, 66] from Operation: 83-17=66 Current State: 44:[15, 10, 66], Operations: ['83-17=66'] Exploring Operation: 10*66=660, Resulting Numbers: [15, 660] Generated Node #3: [15, 660] from Operation: 10*66=660 Current State: 44:[15, 660], Operations: ['83-17=66', '10*66=660'] Exploring Operation: 660/15=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 51, 17, 80 ]
56
[ "51-10=41", "17+80=97", "97-41=56" ]
Current State: 56:[10, 51, 17, 80], Operations: [] Exploring Operation: 51-10=41, Resulting Numbers: [17, 80, 41] Generated Node #2: [17, 80, 41] from Operation: 51-10=41 Current State: 56:[17, 80, 41], Operations: ['51-10=41'] Exploring Operation: 17+80=97, Resulting Numbers: [41, 97] Generated Node #3: [41, 97] from Operation: 17+80=97 Current State: 56:[41, 97], Operations: ['51-10=41', '17+80=97'] Exploring Operation: 97-41=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 6, 30, 25 ]
33
[ "27-25=2", "6/2=3", "30+3=33" ]
Current State: 33:[27, 6, 30, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [6, 30, 2] Generated Node #2: [6, 30, 2] from Operation: 27-25=2 Current State: 33:[6, 30, 2], Operations: ['27-25=2'] Exploring Operation: 6/2=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 6/2=3 Current State: 33:[30, 3], Operations: ['27-25=2', '6/2=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 78, 62, 6, 67 ]
78
[ "62+6=68", "68-67=1", "78*1=78" ]
Current State: 78:[78, 62, 6, 67], Operations: [] Exploring Operation: 62+6=68, Resulting Numbers: [78, 67, 68] Generated Node #2: [78, 67, 68] from Operation: 62+6=68 Current State: 78:[78, 67, 68], Operations: ['62+6=68'] Exploring Operation: 68-67=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 68-67=1 Current State: 78:[78, 1], Operations: ['62+6=68', '68-67=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 15, 72, 17, 76 ]
80
[ "17-15=2", "76*2=152", "152-72=80" ]
Current State: 80:[15, 72, 17, 76], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [72, 76, 2] Generated Node #2: [72, 76, 2] from Operation: 17-15=2 Current State: 80:[72, 76, 2], Operations: ['17-15=2'] Exploring Operation: 76*2=152, Resulting Numbers: [72, 152] Generated Node #3: [72, 152] from Operation: 76*2=152 Current State: 80:[72, 152], Operations: ['17-15=2', '76*2=152'] Exploring Operation: 152-72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 10, 35, 26, 44 ]
95
[ "35-10=25", "26+44=70", "25+70=95" ]
Current State: 95:[10, 35, 26, 44], Operations: [] Exploring Operation: 35-10=25, Resulting Numbers: [26, 44, 25] Generated Node #2: [26, 44, 25] from Operation: 35-10=25 Current State: 95:[26, 44, 25], Operations: ['35-10=25'] Exploring Operation: 26+44=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 26+44=70 Current State: 95:[25, 70], Operations: ['35-10=25', '26+44=70'] Exploring Operation: 25+70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 83, 34, 6, 9 ]
19
[ "83+34=117", "117/9=13", "6+13=19" ]
Current State: 19:[83, 34, 6, 9], Operations: [] Exploring Operation: 83+34=117, Resulting Numbers: [6, 9, 117] Generated Node #2: [6, 9, 117] from Operation: 83+34=117 Current State: 19:[6, 9, 117], Operations: ['83+34=117'] Exploring Operation: 117/9=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 117/9=13 Current State: 19:[6, 13], Operations: ['83+34=117', '117/9=13'] Exploring Operation: 6+13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 19, 39, 37 ]
54
[ "2*37=74", "39-19=20", "74-20=54" ]
Current State: 54:[2, 19, 39, 37], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [19, 39, 74] Generated Node #2: [19, 39, 74] from Operation: 2*37=74 Current State: 54:[19, 39, 74], Operations: ['2*37=74'] Exploring Operation: 39-19=20, Resulting Numbers: [74, 20] Generated Node #3: [74, 20] from Operation: 39-19=20 Current State: 54:[74, 20], Operations: ['2*37=74', '39-19=20'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 94, 5, 48, 87 ]
60
[ "94+5=99", "87-48=39", "99-39=60" ]
Current State: 60:[94, 5, 48, 87], Operations: [] Exploring Operation: 94+5=99, Resulting Numbers: [48, 87, 99] Generated Node #2: [48, 87, 99] from Operation: 94+5=99 Current State: 60:[48, 87, 99], Operations: ['94+5=99'] Exploring Operation: 87-48=39, Resulting Numbers: [99, 39] Generated Node #3: [99, 39] from Operation: 87-48=39 Current State: 60:[99, 39], Operations: ['94+5=99', '87-48=39'] Exploring Operation: 99-39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 10, 74, 2 ]
90
[ "48+10=58", "74*2=148", "148-58=90" ]
Current State: 90:[48, 10, 74, 2], Operations: [] Exploring Operation: 48+10=58, Resulting Numbers: [74, 2, 58] Generated Node #2: [74, 2, 58] from Operation: 48+10=58 Current State: 90:[74, 2, 58], Operations: ['48+10=58'] Exploring Operation: 74*2=148, Resulting Numbers: [58, 148] Generated Node #3: [58, 148] from Operation: 74*2=148 Current State: 90:[58, 148], Operations: ['48+10=58', '74*2=148'] Exploring Operation: 148-58=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 40, 20, 74, 72 ]
62
[ "40+20=60", "74-72=2", "60+2=62" ]
Current State: 62:[40, 20, 74, 72], Operations: [] Exploring Operation: 40+20=60, Resulting Numbers: [74, 72, 60] Generated Node #2: [74, 72, 60] from Operation: 40+20=60 Current State: 62:[74, 72, 60], Operations: ['40+20=60'] Exploring Operation: 74-72=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 74-72=2 Current State: 62:[60, 2], Operations: ['40+20=60', '74-72=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 78, 29, 23, 37 ]
11
[ "78-29=49", "23+37=60", "60-49=11" ]
Current State: 11:[78, 29, 23, 37], Operations: [] Exploring Operation: 78-29=49, Resulting Numbers: [23, 37, 49] Generated Node #2: [23, 37, 49] from Operation: 78-29=49 Current State: 11:[23, 37, 49], Operations: ['78-29=49'] Exploring Operation: 23+37=60, Resulting Numbers: [49, 60] Generated Node #3: [49, 60] from Operation: 23+37=60 Current State: 11:[49, 60], Operations: ['78-29=49', '23+37=60'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 41, 15, 46, 75 ]
10
[ "46-41=5", "75/15=5", "5+5=10" ]
Current State: 10:[41, 15, 46, 75], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [15, 75, 5] Generated Node #2: [15, 75, 5] from Operation: 46-41=5 Current State: 10:[15, 75, 5], Operations: ['46-41=5'] Exploring Operation: 75/15=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 75/15=5 Current State: 10:[5, 5], Operations: ['46-41=5', '75/15=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 65, 63, 92, 35 ]
71
[ "65+63=128", "92-35=57", "128-57=71" ]
Current State: 71:[65, 63, 92, 35], Operations: [] Exploring Operation: 65+63=128, Resulting Numbers: [92, 35, 128] Generated Node #2: [92, 35, 128] from Operation: 65+63=128 Current State: 71:[92, 35, 128], Operations: ['65+63=128'] Exploring Operation: 92-35=57, Resulting Numbers: [128, 57] Generated Node #3: [128, 57] from Operation: 92-35=57 Current State: 71:[128, 57], Operations: ['65+63=128', '92-35=57'] Exploring Operation: 128-57=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 21, 46, 71, 26 ]
28
[ "21+71=92", "92/46=2", "26+2=28" ]
Current State: 28:[21, 46, 71, 26], Operations: [] Exploring Operation: 21+71=92, Resulting Numbers: [46, 26, 92] Generated Node #2: [46, 26, 92] from Operation: 21+71=92 Current State: 28:[46, 26, 92], Operations: ['21+71=92'] Exploring Operation: 92/46=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 92/46=2 Current State: 28:[26, 2], Operations: ['21+71=92', '92/46=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 55, 95, 39, 3 ]
11
[ "55+95=150", "150/3=50", "50-39=11" ]
Current State: 11:[55, 95, 39, 3], Operations: [] Exploring Operation: 55+95=150, Resulting Numbers: [39, 3, 150] Generated Node #2: [39, 3, 150] from Operation: 55+95=150 Current State: 11:[39, 3, 150], Operations: ['55+95=150'] Exploring Operation: 150/3=50, Resulting Numbers: [39, 50] Generated Node #3: [39, 50] from Operation: 150/3=50 Current State: 11:[39, 50], Operations: ['55+95=150', '150/3=50'] Exploring Operation: 50-39=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 92, 20, 2, 23 ]
36
[ "92/23=4", "20*2=40", "40-4=36" ]
Current State: 36:[92, 20, 2, 23], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [20, 2, 4] Generated Node #2: [20, 2, 4] from Operation: 92/23=4 Current State: 36:[20, 2, 4], Operations: ['92/23=4'] Exploring Operation: 20*2=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 20*2=40 Current State: 36:[4, 40], Operations: ['92/23=4', '20*2=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 32, 44, 16 ]
24
[ "70-44=26", "32/16=2", "26-2=24" ]
Current State: 24:[70, 32, 44, 16], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [32, 16, 26] Generated Node #2: [32, 16, 26] from Operation: 70-44=26 Current State: 24:[32, 16, 26], Operations: ['70-44=26'] Exploring Operation: 32/16=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 32/16=2 Current State: 24:[26, 2], Operations: ['70-44=26', '32/16=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 17, 43, 33 ]
13
[ "72+17=89", "43+33=76", "89-76=13" ]
Current State: 13:[72, 17, 43, 33], Operations: [] Exploring Operation: 72+17=89, Resulting Numbers: [43, 33, 89] Generated Node #2: [43, 33, 89] from Operation: 72+17=89 Current State: 13:[43, 33, 89], Operations: ['72+17=89'] Exploring Operation: 43+33=76, Resulting Numbers: [89, 76] Generated Node #3: [89, 76] from Operation: 43+33=76 Current State: 13:[89, 76], Operations: ['72+17=89', '43+33=76'] Exploring Operation: 89-76=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 33, 11, 21 ]
31
[ "30+33=63", "11+21=32", "63-32=31" ]
Current State: 31:[30, 33, 11, 21], Operations: [] Exploring Operation: 30+33=63, Resulting Numbers: [11, 21, 63] Generated Node #2: [11, 21, 63] from Operation: 30+33=63 Current State: 31:[11, 21, 63], Operations: ['30+33=63'] Exploring Operation: 11+21=32, Resulting Numbers: [63, 32] Generated Node #3: [63, 32] from Operation: 11+21=32 Current State: 31:[63, 32], Operations: ['30+33=63', '11+21=32'] Exploring Operation: 63-32=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 14, 88, 1 ]
35
[ "67-14=53", "88*1=88", "88-53=35" ]
Current State: 35:[67, 14, 88, 1], Operations: [] Exploring Operation: 67-14=53, Resulting Numbers: [88, 1, 53] Generated Node #2: [88, 1, 53] from Operation: 67-14=53 Current State: 35:[88, 1, 53], Operations: ['67-14=53'] Exploring Operation: 88*1=88, Resulting Numbers: [53, 88] Generated Node #3: [53, 88] from Operation: 88*1=88 Current State: 35:[53, 88], Operations: ['67-14=53', '88*1=88'] Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 3, 60, 43 ]
52
[ "87-60=27", "27/3=9", "43+9=52" ]
Current State: 52:[87, 3, 60, 43], Operations: [] Exploring Operation: 87-60=27, Resulting Numbers: [3, 43, 27] Generated Node #2: [3, 43, 27] from Operation: 87-60=27 Current State: 52:[3, 43, 27], Operations: ['87-60=27'] Exploring Operation: 27/3=9, Resulting Numbers: [43, 9] Generated Node #3: [43, 9] from Operation: 27/3=9 Current State: 52:[43, 9], Operations: ['87-60=27', '27/3=9'] Exploring Operation: 43+9=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 2, 20, 32 ]
46
[ "42+20=62", "32/2=16", "62-16=46" ]
Current State: 46:[42, 2, 20, 32], Operations: [] Exploring Operation: 42+20=62, Resulting Numbers: [2, 32, 62] Generated Node #2: [2, 32, 62] from Operation: 42+20=62 Current State: 46:[2, 32, 62], Operations: ['42+20=62'] Exploring Operation: 32/2=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 32/2=16 Current State: 46:[62, 16], Operations: ['42+20=62', '32/2=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 74, 18, 9 ]
52
[ "32-18=14", "9*14=126", "126-74=52" ]
Current State: 52:[32, 74, 18, 9], Operations: [] Exploring Operation: 32-18=14, Resulting Numbers: [74, 9, 14] Generated Node #2: [74, 9, 14] from Operation: 32-18=14 Current State: 52:[74, 9, 14], Operations: ['32-18=14'] Exploring Operation: 9*14=126, Resulting Numbers: [74, 126] Generated Node #3: [74, 126] from Operation: 9*14=126 Current State: 52:[74, 126], Operations: ['32-18=14', '9*14=126'] Exploring Operation: 126-74=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 94, 52, 32, 44 ]
34
[ "94-52=42", "32+44=76", "76-42=34" ]
Current State: 34:[94, 52, 32, 44], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [32, 44, 42] Generated Node #2: [32, 44, 42] from Operation: 94-52=42 Current State: 34:[32, 44, 42], Operations: ['94-52=42'] Exploring Operation: 32+44=76, Resulting Numbers: [42, 76] Generated Node #3: [42, 76] from Operation: 32+44=76 Current State: 34:[42, 76], Operations: ['94-52=42', '32+44=76'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 9, 43, 16, 57 ]
60
[ "43-16=27", "27/9=3", "57+3=60" ]
Current State: 60:[9, 43, 16, 57], Operations: [] Exploring Operation: 43-16=27, Resulting Numbers: [9, 57, 27] Generated Node #2: [9, 57, 27] from Operation: 43-16=27 Current State: 60:[9, 57, 27], Operations: ['43-16=27'] Exploring Operation: 27/9=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 27/9=3 Current State: 60:[57, 3], Operations: ['43-16=27', '27/9=3'] Exploring Operation: 57+3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 65, 99, 51, 34 ]
17
[ "99-65=34", "51-34=17", "34-17=17" ]
Current State: 17:[65, 99, 51, 34], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [51, 34, 34] Generated Node #2: [51, 34, 34] from Operation: 99-65=34 Current State: 17:[51, 34, 34], Operations: ['99-65=34'] Exploring Operation: 51-34=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 6, 84, 7 ]
48
[ "90*6=540", "84*7=588", "588-540=48" ]
Current State: 48:[90, 6, 84, 7], Operations: [] Exploring Operation: 90*6=540, Resulting Numbers: [84, 7, 540] Generated Node #2: [84, 7, 540] from Operation: 90*6=540 Current State: 48:[84, 7, 540], Operations: ['90*6=540'] Exploring Operation: 84*7=588, Resulting Numbers: [540, 588] Generated Node #3: [540, 588] from Operation: 84*7=588 Current State: 48:[540, 588], Operations: ['90*6=540', '84*7=588'] Exploring Operation: 588-540=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 88, 12, 65 ]
79
[ "88-86=2", "12+65=77", "2+77=79" ]
Current State: 79:[86, 88, 12, 65], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [12, 65, 2] Generated Node #2: [12, 65, 2] from Operation: 88-86=2 Current State: 79:[12, 65, 2], Operations: ['88-86=2'] Exploring Operation: 12+65=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 12+65=77 Current State: 79:[2, 77], Operations: ['88-86=2', '12+65=77'] Exploring Operation: 2+77=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 69, 60, 83, 27 ]
47
[ "69-60=9", "83-27=56", "56-9=47" ]
Current State: 47:[69, 60, 83, 27], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [83, 27, 9] Generated Node #2: [83, 27, 9] from Operation: 69-60=9 Current State: 47:[83, 27, 9], Operations: ['69-60=9'] Exploring Operation: 83-27=56, Resulting Numbers: [9, 56] Generated Node #3: [9, 56] from Operation: 83-27=56 Current State: 47:[9, 56], Operations: ['69-60=9', '83-27=56'] Exploring Operation: 56-9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 74, 37, 61 ]
16
[ "40+74=114", "37+61=98", "114-98=16" ]
Current State: 16:[40, 74, 37, 61], Operations: [] Exploring Operation: 40+74=114, Resulting Numbers: [37, 61, 114] Generated Node #2: [37, 61, 114] from Operation: 40+74=114 Current State: 16:[37, 61, 114], Operations: ['40+74=114'] Exploring Operation: 37+61=98, Resulting Numbers: [114, 98] Generated Node #3: [114, 98] from Operation: 37+61=98 Current State: 16:[114, 98], Operations: ['40+74=114', '37+61=98'] Exploring Operation: 114-98=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 6, 21, 3 ]
63
[ "82-21=61", "6/3=2", "61+2=63" ]
Current State: 63:[82, 6, 21, 3], Operations: [] Exploring Operation: 82-21=61, Resulting Numbers: [6, 3, 61] Generated Node #2: [6, 3, 61] from Operation: 82-21=61 Current State: 63:[6, 3, 61], Operations: ['82-21=61'] Exploring Operation: 6/3=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 6/3=2 Current State: 63:[61, 2], Operations: ['82-21=61', '6/3=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 86, 64, 62 ]
41
[ "81+86=167", "64+62=126", "167-126=41" ]
Current State: 41:[81, 86, 64, 62], Operations: [] Exploring Operation: 81+86=167, Resulting Numbers: [64, 62, 167] Generated Node #2: [64, 62, 167] from Operation: 81+86=167 Current State: 41:[64, 62, 167], Operations: ['81+86=167'] Exploring Operation: 64+62=126, Resulting Numbers: [167, 126] Generated Node #3: [167, 126] from Operation: 64+62=126 Current State: 41:[167, 126], Operations: ['81+86=167', '64+62=126'] Exploring Operation: 167-126=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 2, 95, 4 ]
19
[ "55*2=110", "95-4=91", "110-91=19" ]
Current State: 19:[55, 2, 95, 4], Operations: [] Exploring Operation: 55*2=110, Resulting Numbers: [95, 4, 110] Generated Node #2: [95, 4, 110] from Operation: 55*2=110 Current State: 19:[95, 4, 110], Operations: ['55*2=110'] Exploring Operation: 95-4=91, Resulting Numbers: [110, 91] Generated Node #3: [110, 91] from Operation: 95-4=91 Current State: 19:[110, 91], Operations: ['55*2=110', '95-4=91'] Exploring Operation: 110-91=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 57, 38, 29, 91 ]
33
[ "57+38=95", "91-29=62", "95-62=33" ]
Current State: 33:[57, 38, 29, 91], Operations: [] Exploring Operation: 57+38=95, Resulting Numbers: [29, 91, 95] Generated Node #2: [29, 91, 95] from Operation: 57+38=95 Current State: 33:[29, 91, 95], Operations: ['57+38=95'] Exploring Operation: 91-29=62, Resulting Numbers: [95, 62] Generated Node #3: [95, 62] from Operation: 91-29=62 Current State: 33:[95, 62], Operations: ['57+38=95', '91-29=62'] Exploring Operation: 95-62=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 96, 71, 96, 32 ]
71
[ "96-96=0", "32*0=0", "71+0=71" ]
Current State: 71:[96, 71, 96, 32], Operations: [] Exploring Operation: 96-96=0, Resulting Numbers: [71, 32, 0] Generated Node #2: [71, 32, 0] from Operation: 96-96=0 Current State: 71:[71, 32, 0], Operations: ['96-96=0'] Exploring Operation: 32*0=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 32*0=0 Current State: 71:[71, 0], Operations: ['96-96=0', '32*0=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 10, 97, 59 ]
47
[ "10-1=9", "97-59=38", "9+38=47" ]
Current State: 47:[1, 10, 97, 59], Operations: [] Exploring Operation: 10-1=9, Resulting Numbers: [97, 59, 9] Generated Node #2: [97, 59, 9] from Operation: 10-1=9 Current State: 47:[97, 59, 9], Operations: ['10-1=9'] Exploring Operation: 97-59=38, Resulting Numbers: [9, 38] Generated Node #3: [9, 38] from Operation: 97-59=38 Current State: 47:[9, 38], Operations: ['10-1=9', '97-59=38'] Exploring Operation: 9+38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 23, 2, 75 ]
76
[ "23-20=3", "75-2=73", "3+73=76" ]
Current State: 76:[20, 23, 2, 75], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [2, 75, 3] Generated Node #2: [2, 75, 3] from Operation: 23-20=3 Current State: 76:[2, 75, 3], Operations: ['23-20=3'] Exploring Operation: 75-2=73, Resulting Numbers: [3, 73] Generated Node #3: [3, 73] from Operation: 75-2=73 Current State: 76:[3, 73], Operations: ['23-20=3', '75-2=73'] Exploring Operation: 3+73=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 44, 71, 68, 37 ]
67
[ "71-68=3", "37*3=111", "111-44=67" ]
Current State: 67:[44, 71, 68, 37], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [44, 37, 3] Generated Node #2: [44, 37, 3] from Operation: 71-68=3 Current State: 67:[44, 37, 3], Operations: ['71-68=3'] Exploring Operation: 37*3=111, Resulting Numbers: [44, 111] Generated Node #3: [44, 111] from Operation: 37*3=111 Current State: 67:[44, 111], Operations: ['71-68=3', '37*3=111'] Exploring Operation: 111-44=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 69, 41, 18, 47 ]
45
[ "69+41=110", "18+47=65", "110-65=45" ]
Current State: 45:[69, 41, 18, 47], Operations: [] Exploring Operation: 69+41=110, Resulting Numbers: [18, 47, 110] Generated Node #2: [18, 47, 110] from Operation: 69+41=110 Current State: 45:[18, 47, 110], Operations: ['69+41=110'] Exploring Operation: 18+47=65, Resulting Numbers: [110, 65] Generated Node #3: [110, 65] from Operation: 18+47=65 Current State: 45:[110, 65], Operations: ['69+41=110', '18+47=65'] Exploring Operation: 110-65=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 44, 43, 83 ]
30
[ "26+44=70", "83-43=40", "70-40=30" ]
Current State: 30:[26, 44, 43, 83], Operations: [] Exploring Operation: 26+44=70, Resulting Numbers: [43, 83, 70] Generated Node #2: [43, 83, 70] from Operation: 26+44=70 Current State: 30:[43, 83, 70], Operations: ['26+44=70'] Exploring Operation: 83-43=40, Resulting Numbers: [70, 40] Generated Node #3: [70, 40] from Operation: 83-43=40 Current State: 30:[70, 40], Operations: ['26+44=70', '83-43=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 73, 67, 13, 53 ]
74
[ "73+67=140", "13+53=66", "140-66=74" ]
Current State: 74:[73, 67, 13, 53], Operations: [] Exploring Operation: 73+67=140, Resulting Numbers: [13, 53, 140] Generated Node #2: [13, 53, 140] from Operation: 73+67=140 Current State: 74:[13, 53, 140], Operations: ['73+67=140'] Exploring Operation: 13+53=66, Resulting Numbers: [140, 66] Generated Node #3: [140, 66] from Operation: 13+53=66 Current State: 74:[140, 66], Operations: ['73+67=140', '13+53=66'] Exploring Operation: 140-66=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 97, 33, 71 ]
66
[ "7+97=104", "71-33=38", "104-38=66" ]
Current State: 66:[7, 97, 33, 71], Operations: [] Exploring Operation: 7+97=104, Resulting Numbers: [33, 71, 104] Generated Node #2: [33, 71, 104] from Operation: 7+97=104 Current State: 66:[33, 71, 104], Operations: ['7+97=104'] Exploring Operation: 71-33=38, Resulting Numbers: [104, 38] Generated Node #3: [104, 38] from Operation: 71-33=38 Current State: 66:[104, 38], Operations: ['7+97=104', '71-33=38'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 97, 39, 78 ]
98
[ "78-39=39", "5*39=195", "195-97=98" ]
Current State: 98:[5, 97, 39, 78], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [5, 97, 39] Generated Node #2: [5, 97, 39] from Operation: 78-39=39 Current State: 98:[5, 97, 39], Operations: ['78-39=39'] Exploring Operation: 5*39=195, Resulting Numbers: [97, 195] Generated Node #3: [97, 195] from Operation: 5*39=195 Current State: 98:[97, 195], Operations: ['78-39=39', '5*39=195'] Exploring Operation: 195-97=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 47, 83, 12, 15 ]
58
[ "15-12=3", "47*3=141", "141-83=58" ]
Current State: 58:[47, 83, 12, 15], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [47, 83, 3] Generated Node #2: [47, 83, 3] from Operation: 15-12=3 Current State: 58:[47, 83, 3], Operations: ['15-12=3'] Exploring Operation: 47*3=141, Resulting Numbers: [83, 141] Generated Node #3: [83, 141] from Operation: 47*3=141 Current State: 58:[83, 141], Operations: ['15-12=3', '47*3=141'] Exploring Operation: 141-83=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 53, 43, 76 ]
53
[ "32+43=75", "76-75=1", "53*1=53" ]
Current State: 53:[32, 53, 43, 76], Operations: [] Exploring Operation: 32+43=75, Resulting Numbers: [53, 76, 75] Generated Node #2: [53, 76, 75] from Operation: 32+43=75 Current State: 53:[53, 76, 75], Operations: ['32+43=75'] Exploring Operation: 76-75=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 76-75=1 Current State: 53:[53, 1], Operations: ['32+43=75', '76-75=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 75, 45, 56 ]
99
[ "84-75=9", "56-45=11", "9*11=99" ]
Current State: 99:[84, 75, 45, 56], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [45, 56, 9] Generated Node #2: [45, 56, 9] from Operation: 84-75=9 Current State: 99:[45, 56, 9], Operations: ['84-75=9'] Exploring Operation: 56-45=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 56-45=11 Current State: 99:[9, 11], Operations: ['84-75=9', '56-45=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 88, 9, 15, 27 ]
67
[ "88-9=79", "27-15=12", "79-12=67" ]
Current State: 67:[88, 9, 15, 27], Operations: [] Exploring Operation: 88-9=79, Resulting Numbers: [15, 27, 79] Generated Node #2: [15, 27, 79] from Operation: 88-9=79 Current State: 67:[15, 27, 79], Operations: ['88-9=79'] Exploring Operation: 27-15=12, Resulting Numbers: [79, 12] Generated Node #3: [79, 12] from Operation: 27-15=12 Current State: 67:[79, 12], Operations: ['88-9=79', '27-15=12'] Exploring Operation: 79-12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 59, 3, 3 ]
15
[ "54*3=162", "59*3=177", "177-162=15" ]
Current State: 15:[54, 59, 3, 3], Operations: [] Exploring Operation: 54*3=162, Resulting Numbers: [59, 162] Generated Node #2: [59, 162] from Operation: 54*3=162 Current State: 15:[59, 162], Operations: ['54*3=162'] Exploring Operation: 59*3=177, Resulting Numbers: [162, 177] Generated Node #3: [162, 177] from Operation: 59*3=177 Current State: 15:[162, 177], Operations: ['54*3=162', '59*3=177'] Exploring Operation: 177-162=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 40, 5, 80, 4 ]
65
[ "40+5=45", "80/4=20", "45+20=65" ]
Current State: 65:[40, 5, 80, 4], Operations: [] Exploring Operation: 40+5=45, Resulting Numbers: [80, 4, 45] Generated Node #2: [80, 4, 45] from Operation: 40+5=45 Current State: 65:[80, 4, 45], Operations: ['40+5=45'] Exploring Operation: 80/4=20, Resulting Numbers: [45, 20] Generated Node #3: [45, 20] from Operation: 80/4=20 Current State: 65:[45, 20], Operations: ['40+5=45', '80/4=20'] Exploring Operation: 45+20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 63, 52, 52, 3 ]
60
[ "63+52=115", "52+3=55", "115-55=60" ]
Current State: 60:[63, 52, 52, 3], Operations: [] Exploring Operation: 63+52=115, Resulting Numbers: [3, 115] Generated Node #2: [3, 115] from Operation: 63+52=115 Current State: 60:[3, 115], Operations: ['63+52=115'] Exploring Operation: 52+3=55, Resulting Numbers: [115, 55] Generated Node #3: [115, 55] from Operation: 52+3=55 Current State: 60:[115, 55], Operations: ['63+52=115', '52+3=55'] Exploring Operation: 115-55=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 16, 14, 60 ]
78
[ "16-14=2", "60*2=120", "120-42=78" ]
Current State: 78:[42, 16, 14, 60], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [42, 60, 2] Generated Node #2: [42, 60, 2] from Operation: 16-14=2 Current State: 78:[42, 60, 2], Operations: ['16-14=2'] Exploring Operation: 60*2=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 60*2=120 Current State: 78:[42, 120], Operations: ['16-14=2', '60*2=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 43, 93, 34, 3 ]
22
[ "43-34=9", "93/3=31", "31-9=22" ]
Current State: 22:[43, 93, 34, 3], Operations: [] Exploring Operation: 43-34=9, Resulting Numbers: [93, 3, 9] Generated Node #2: [93, 3, 9] from Operation: 43-34=9 Current State: 22:[93, 3, 9], Operations: ['43-34=9'] Exploring Operation: 93/3=31, Resulting Numbers: [9, 31] Generated Node #3: [9, 31] from Operation: 93/3=31 Current State: 22:[9, 31], Operations: ['43-34=9', '93/3=31'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 24, 7, 20, 16 ]
84
[ "24-20=4", "16-4=12", "7*12=84" ]
Current State: 84:[24, 7, 20, 16], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [7, 16, 4] Generated Node #2: [7, 16, 4] from Operation: 24-20=4 Current State: 84:[7, 16, 4], Operations: ['24-20=4'] Exploring Operation: 16-4=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 16-4=12 Current State: 84:[7, 12], Operations: ['24-20=4', '16-4=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 2, 12, 85 ]
89
[ "85-12=73", "2*73=146", "146-57=89" ]
Current State: 89:[57, 2, 12, 85], Operations: [] Exploring Operation: 85-12=73, Resulting Numbers: [57, 2, 73] Generated Node #2: [57, 2, 73] from Operation: 85-12=73 Current State: 89:[57, 2, 73], Operations: ['85-12=73'] Exploring Operation: 2*73=146, Resulting Numbers: [57, 146] Generated Node #3: [57, 146] from Operation: 2*73=146 Current State: 89:[57, 146], Operations: ['85-12=73', '2*73=146'] Exploring Operation: 146-57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 63, 91, 14, 44 ]
49
[ "63+91=154", "14*154=2156", "2156/44=49" ]
Current State: 49:[63, 91, 14, 44], Operations: [] Exploring Operation: 63+91=154, Resulting Numbers: [14, 44, 154] Generated Node #2: [14, 44, 154] from Operation: 63+91=154 Current State: 49:[14, 44, 154], Operations: ['63+91=154'] Exploring Operation: 14*154=2156, Resulting Numbers: [44, 2156] Generated Node #3: [44, 2156] from Operation: 14*154=2156 Current State: 49:[44, 2156], Operations: ['63+91=154', '14*154=2156'] Exploring Operation: 2156/44=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 98, 22, 45, 13 ]
18
[ "98-22=76", "45+13=58", "76-58=18" ]
Current State: 18:[98, 22, 45, 13], Operations: [] Exploring Operation: 98-22=76, Resulting Numbers: [45, 13, 76] Generated Node #2: [45, 13, 76] from Operation: 98-22=76 Current State: 18:[45, 13, 76], Operations: ['98-22=76'] Exploring Operation: 45+13=58, Resulting Numbers: [76, 58] Generated Node #3: [76, 58] from Operation: 45+13=58 Current State: 18:[76, 58], Operations: ['98-22=76', '45+13=58'] Exploring Operation: 76-58=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 26, 38, 71 ]
97
[ "90-26=64", "71-38=33", "64+33=97" ]
Current State: 97:[90, 26, 38, 71], Operations: [] Exploring Operation: 90-26=64, Resulting Numbers: [38, 71, 64] Generated Node #2: [38, 71, 64] from Operation: 90-26=64 Current State: 97:[38, 71, 64], Operations: ['90-26=64'] Exploring Operation: 71-38=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 71-38=33 Current State: 97:[64, 33], Operations: ['90-26=64', '71-38=33'] Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 89, 91, 24 ]
24
[ "1+89=90", "91-90=1", "24*1=24" ]
Current State: 24:[1, 89, 91, 24], Operations: [] Exploring Operation: 1+89=90, Resulting Numbers: [91, 24, 90] Generated Node #2: [91, 24, 90] from Operation: 1+89=90 Current State: 24:[91, 24, 90], Operations: ['1+89=90'] Exploring Operation: 91-90=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 91-90=1 Current State: 24:[24, 1], Operations: ['1+89=90', '91-90=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 55, 65, 71, 8 ]
57
[ "55+65=120", "71-8=63", "120-63=57" ]
Current State: 57:[55, 65, 71, 8], Operations: [] Exploring Operation: 55+65=120, Resulting Numbers: [71, 8, 120] Generated Node #2: [71, 8, 120] from Operation: 55+65=120 Current State: 57:[71, 8, 120], Operations: ['55+65=120'] Exploring Operation: 71-8=63, Resulting Numbers: [120, 63] Generated Node #3: [120, 63] from Operation: 71-8=63 Current State: 57:[120, 63], Operations: ['55+65=120', '71-8=63'] Exploring Operation: 120-63=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 45, 1, 70 ]
53
[ "63-45=18", "1+70=71", "71-18=53" ]
Current State: 53:[63, 45, 1, 70], Operations: [] Exploring Operation: 63-45=18, Resulting Numbers: [1, 70, 18] Generated Node #2: [1, 70, 18] from Operation: 63-45=18 Current State: 53:[1, 70, 18], Operations: ['63-45=18'] Exploring Operation: 1+70=71, Resulting Numbers: [18, 71] Generated Node #3: [18, 71] from Operation: 1+70=71 Current State: 53:[18, 71], Operations: ['63-45=18', '1+70=71'] Exploring Operation: 71-18=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 63, 57, 12 ]
40
[ "57-12=45", "56*45=2520", "2520/63=40" ]
Current State: 40:[56, 63, 57, 12], Operations: [] Exploring Operation: 57-12=45, Resulting Numbers: [56, 63, 45] Generated Node #2: [56, 63, 45] from Operation: 57-12=45 Current State: 40:[56, 63, 45], Operations: ['57-12=45'] Exploring Operation: 56*45=2520, Resulting Numbers: [63, 2520] Generated Node #3: [63, 2520] from Operation: 56*45=2520 Current State: 40:[63, 2520], Operations: ['57-12=45', '56*45=2520'] Exploring Operation: 2520/63=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 49, 90, 22 ]
58
[ "5+49=54", "90+22=112", "112-54=58" ]
Current State: 58:[5, 49, 90, 22], Operations: [] Exploring Operation: 5+49=54, Resulting Numbers: [90, 22, 54] Generated Node #2: [90, 22, 54] from Operation: 5+49=54 Current State: 58:[90, 22, 54], Operations: ['5+49=54'] Exploring Operation: 90+22=112, Resulting Numbers: [54, 112] Generated Node #3: [54, 112] from Operation: 90+22=112 Current State: 58:[54, 112], Operations: ['5+49=54', '90+22=112'] Exploring Operation: 112-54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4