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
[ 26, 12, 3, 27 ]
69
[ "26-12=14", "3*14=42", "27+42=69" ]
Current State: 69:[26, 12, 3, 27], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [3, 27, 14] Generated Node #2: [3, 27, 14] from Operation: 26-12=14 Current State: 69:[3, 27, 14], Operations: ['26-12=14'] Exploring Operation: 3*14=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 3*14=42 Current State: 69:[27, 42], Operations: ['26-12=14', '3*14=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 4, 52, 31 ]
44
[ "69-4=65", "52-31=21", "65-21=44" ]
Current State: 44:[69, 4, 52, 31], Operations: [] Exploring Operation: 69-4=65, Resulting Numbers: [52, 31, 65] Generated Node #2: [52, 31, 65] from Operation: 69-4=65 Current State: 44:[52, 31, 65], Operations: ['69-4=65'] Exploring Operation: 52-31=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 52-31=21 Current State: 44:[65, 21], Operations: ['69-4=65', '52-31=21'] Exploring Operation: 65-21=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 45, 63, 10, 13 ]
48
[ "13-10=3", "45/3=15", "63-15=48" ]
Current State: 48:[45, 63, 10, 13], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [45, 63, 3] Generated Node #2: [45, 63, 3] from Operation: 13-10=3 Current State: 48:[45, 63, 3], Operations: ['13-10=3'] Exploring Operation: 45/3=15, Resulting Numbers: [63, 15] Generated Node #3: [63, 15] from Operation: 45/3=15 Current State: 48:[63, 15], Operations: ['13-10=3', '45/3=15'] Exploring Operation: 63-15=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 38, 10, 73 ]
94
[ "69-38=31", "73-10=63", "31+63=94" ]
Current State: 94:[69, 38, 10, 73], Operations: [] Exploring Operation: 69-38=31, Resulting Numbers: [10, 73, 31] Generated Node #2: [10, 73, 31] from Operation: 69-38=31 Current State: 94:[10, 73, 31], Operations: ['69-38=31'] Exploring Operation: 73-10=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 73-10=63 Current State: 94:[31, 63], Operations: ['69-38=31', '73-10=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 69, 9, 14, 89 ]
86
[ "9+14=23", "69/23=3", "89-3=86" ]
Current State: 86:[69, 9, 14, 89], Operations: [] Exploring Operation: 9+14=23, Resulting Numbers: [69, 89, 23] Generated Node #2: [69, 89, 23] from Operation: 9+14=23 Current State: 86:[69, 89, 23], Operations: ['9+14=23'] Exploring Operation: 69/23=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 69/23=3 Current State: 86:[89, 3], Operations: ['9+14=23', '69/23=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 7, 16, 26 ]
14
[ "21+7=28", "16+26=42", "42-28=14" ]
Current State: 14:[21, 7, 16, 26], Operations: [] Exploring Operation: 21+7=28, Resulting Numbers: [16, 26, 28] Generated Node #2: [16, 26, 28] from Operation: 21+7=28 Current State: 14:[16, 26, 28], Operations: ['21+7=28'] Exploring Operation: 16+26=42, Resulting Numbers: [28, 42] Generated Node #3: [28, 42] from Operation: 16+26=42 Current State: 14:[28, 42], Operations: ['21+7=28', '16+26=42'] Exploring Operation: 42-28=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 64, 19, 5, 78 ]
89
[ "78-64=14", "5*14=70", "19+70=89" ]
Current State: 89:[64, 19, 5, 78], Operations: [] Exploring Operation: 78-64=14, Resulting Numbers: [19, 5, 14] Generated Node #2: [19, 5, 14] from Operation: 78-64=14 Current State: 89:[19, 5, 14], Operations: ['78-64=14'] Exploring Operation: 5*14=70, Resulting Numbers: [19, 70] Generated Node #3: [19, 70] from Operation: 5*14=70 Current State: 89:[19, 70], Operations: ['78-64=14', '5*14=70'] Exploring Operation: 19+70=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 44, 31, 34 ]
59
[ "34-31=3", "45/3=15", "44+15=59" ]
Current State: 59:[45, 44, 31, 34], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [45, 44, 3] Generated Node #2: [45, 44, 3] from Operation: 34-31=3 Current State: 59:[45, 44, 3], Operations: ['34-31=3'] Exploring Operation: 45/3=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 45/3=15 Current State: 59:[44, 15], Operations: ['34-31=3', '45/3=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 30, 52, 66 ]
10
[ "90+66=156", "30*52=1560", "1560/156=10" ]
Current State: 10:[90, 30, 52, 66], Operations: [] Exploring Operation: 90+66=156, Resulting Numbers: [30, 52, 156] Generated Node #2: [30, 52, 156] from Operation: 90+66=156 Current State: 10:[30, 52, 156], Operations: ['90+66=156'] Exploring Operation: 30*52=1560, Resulting Numbers: [156, 1560] Generated Node #3: [156, 1560] from Operation: 30*52=1560 Current State: 10:[156, 1560], Operations: ['90+66=156', '30*52=1560'] Exploring Operation: 1560/156=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 60, 97, 50 ]
56
[ "69-60=9", "97-50=47", "9+47=56" ]
Current State: 56:[69, 60, 97, 50], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [97, 50, 9] Generated Node #2: [97, 50, 9] from Operation: 69-60=9 Current State: 56:[97, 50, 9], Operations: ['69-60=9'] Exploring Operation: 97-50=47, Resulting Numbers: [9, 47] Generated Node #3: [9, 47] from Operation: 97-50=47 Current State: 56:[9, 47], Operations: ['69-60=9', '97-50=47'] Exploring Operation: 9+47=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 65, 99, 22, 9 ]
67
[ "99/9=11", "22/11=2", "65+2=67" ]
Current State: 67:[65, 99, 22, 9], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [65, 22, 11] Generated Node #2: [65, 22, 11] from Operation: 99/9=11 Current State: 67:[65, 22, 11], Operations: ['99/9=11'] Exploring Operation: 22/11=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 22/11=2 Current State: 67:[65, 2], Operations: ['99/9=11', '22/11=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 98, 61, 71, 86 ]
22
[ "98-61=37", "86-71=15", "37-15=22" ]
Current State: 22:[98, 61, 71, 86], Operations: [] Exploring Operation: 98-61=37, Resulting Numbers: [71, 86, 37] Generated Node #2: [71, 86, 37] from Operation: 98-61=37 Current State: 22:[71, 86, 37], Operations: ['98-61=37'] Exploring Operation: 86-71=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 86-71=15 Current State: 22:[37, 15], Operations: ['98-61=37', '86-71=15'] Exploring Operation: 37-15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 34, 19, 12 ]
30
[ "34-12=22", "22/2=11", "19+11=30" ]
Current State: 30:[2, 34, 19, 12], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [2, 19, 22] Generated Node #2: [2, 19, 22] from Operation: 34-12=22 Current State: 30:[2, 19, 22], Operations: ['34-12=22'] Exploring Operation: 22/2=11, Resulting Numbers: [19, 11] Generated Node #3: [19, 11] from Operation: 22/2=11 Current State: 30:[19, 11], Operations: ['34-12=22', '22/2=11'] Exploring Operation: 19+11=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 42, 66, 79, 93 ]
69
[ "93-79=14", "42/14=3", "66+3=69" ]
Current State: 69:[42, 66, 79, 93], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [42, 66, 14] Generated Node #2: [42, 66, 14] from Operation: 93-79=14 Current State: 69:[42, 66, 14], Operations: ['93-79=14'] Exploring Operation: 42/14=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 42/14=3 Current State: 69:[66, 3], Operations: ['93-79=14', '42/14=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 16, 23, 50, 49 ]
39
[ "16+23=39", "50-49=1", "39*1=39" ]
Current State: 39:[16, 23, 50, 49], Operations: [] Exploring Operation: 16+23=39, Resulting Numbers: [50, 49, 39] Generated Node #2: [50, 49, 39] from Operation: 16+23=39 Current State: 39:[50, 49, 39], Operations: ['16+23=39'] Exploring Operation: 50-49=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 50-49=1 Current State: 39:[39, 1], Operations: ['16+23=39', '50-49=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 59, 47, 84, 68 ]
46
[ "59+47=106", "84+68=152", "152-106=46" ]
Current State: 46:[59, 47, 84, 68], Operations: [] Exploring Operation: 59+47=106, Resulting Numbers: [84, 68, 106] Generated Node #2: [84, 68, 106] from Operation: 59+47=106 Current State: 46:[84, 68, 106], Operations: ['59+47=106'] Exploring Operation: 84+68=152, Resulting Numbers: [106, 152] Generated Node #3: [106, 152] from Operation: 84+68=152 Current State: 46:[106, 152], Operations: ['59+47=106', '84+68=152'] Exploring Operation: 152-106=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 23, 87, 91, 63 ]
82
[ "23+87=110", "91-63=28", "110-28=82" ]
Current State: 82:[23, 87, 91, 63], Operations: [] Exploring Operation: 23+87=110, Resulting Numbers: [91, 63, 110] Generated Node #2: [91, 63, 110] from Operation: 23+87=110 Current State: 82:[91, 63, 110], Operations: ['23+87=110'] Exploring Operation: 91-63=28, Resulting Numbers: [110, 28] Generated Node #3: [110, 28] from Operation: 91-63=28 Current State: 82:[110, 28], Operations: ['23+87=110', '91-63=28'] Exploring Operation: 110-28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 6, 14, 13 ]
92
[ "13-6=7", "14*7=98", "98-6=92" ]
Current State: 92:[6, 6, 14, 13], Operations: [] Exploring Operation: 13-6=7, Resulting Numbers: [14, 7] Generated Node #2: [14, 7] from Operation: 13-6=7 Current State: 92:[14, 7], Operations: ['13-6=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,92 equal: Goal Reached Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 21, 14, 2 ]
61
[ "3*14=42", "21-2=19", "42+19=61" ]
Current State: 61:[3, 21, 14, 2], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [21, 2, 42] Generated Node #2: [21, 2, 42] from Operation: 3*14=42 Current State: 61:[21, 2, 42], Operations: ['3*14=42'] Exploring Operation: 21-2=19, Resulting Numbers: [42, 19] Generated Node #3: [42, 19] from Operation: 21-2=19 Current State: 61:[42, 19], Operations: ['3*14=42', '21-2=19'] Exploring Operation: 42+19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 77, 36, 67 ]
37
[ "77-11=66", "36+67=103", "103-66=37" ]
Current State: 37:[11, 77, 36, 67], Operations: [] Exploring Operation: 77-11=66, Resulting Numbers: [36, 67, 66] Generated Node #2: [36, 67, 66] from Operation: 77-11=66 Current State: 37:[36, 67, 66], Operations: ['77-11=66'] Exploring Operation: 36+67=103, Resulting Numbers: [66, 103] Generated Node #3: [66, 103] from Operation: 36+67=103 Current State: 37:[66, 103], Operations: ['77-11=66', '36+67=103'] Exploring Operation: 103-66=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 36, 3, 48, 2 ]
33
[ "36/2=18", "3+48=51", "51-18=33" ]
Current State: 33:[36, 3, 48, 2], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [3, 48, 18] Generated Node #2: [3, 48, 18] from Operation: 36/2=18 Current State: 33:[3, 48, 18], Operations: ['36/2=18'] Exploring Operation: 3+48=51, Resulting Numbers: [18, 51] Generated Node #3: [18, 51] from Operation: 3+48=51 Current State: 33:[18, 51], Operations: ['36/2=18', '3+48=51'] Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 55, 30, 33, 22 ]
96
[ "55+30=85", "33-22=11", "85+11=96" ]
Current State: 96:[55, 30, 33, 22], Operations: [] Exploring Operation: 55+30=85, Resulting Numbers: [33, 22, 85] Generated Node #2: [33, 22, 85] from Operation: 55+30=85 Current State: 96:[33, 22, 85], Operations: ['55+30=85'] Exploring Operation: 33-22=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 33-22=11 Current State: 96:[85, 11], Operations: ['55+30=85', '33-22=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 17, 56, 29, 56 ]
46
[ "17+56=73", "56-29=27", "73-27=46" ]
Current State: 46:[17, 56, 29, 56], Operations: [] Exploring Operation: 17+56=73, Resulting Numbers: [29, 73] Generated Node #2: [29, 73] from Operation: 17+56=73 Current State: 46:[29, 73], Operations: ['17+56=73'] Exploring Operation: 56-29=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 56-29=27 Current State: 46:[73, 27], Operations: ['17+56=73', '56-29=27'] Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 32, 71, 10 ]
82
[ "32-10=22", "22/2=11", "71+11=82" ]
Current State: 82:[2, 32, 71, 10], Operations: [] Exploring Operation: 32-10=22, Resulting Numbers: [2, 71, 22] Generated Node #2: [2, 71, 22] from Operation: 32-10=22 Current State: 82:[2, 71, 22], Operations: ['32-10=22'] Exploring Operation: 22/2=11, Resulting Numbers: [71, 11] Generated Node #3: [71, 11] from Operation: 22/2=11 Current State: 82:[71, 11], Operations: ['32-10=22', '22/2=11'] Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 13, 55, 12, 21 ]
59
[ "13+55=68", "21-12=9", "68-9=59" ]
Current State: 59:[13, 55, 12, 21], Operations: [] Exploring Operation: 13+55=68, Resulting Numbers: [12, 21, 68] Generated Node #2: [12, 21, 68] from Operation: 13+55=68 Current State: 59:[12, 21, 68], Operations: ['13+55=68'] Exploring Operation: 21-12=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 21-12=9 Current State: 59:[68, 9], Operations: ['13+55=68', '21-12=9'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 88, 28, 10, 44 ]
76
[ "88/44=2", "28+10=38", "2*38=76" ]
Current State: 76:[88, 28, 10, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [28, 10, 2] Generated Node #2: [28, 10, 2] from Operation: 88/44=2 Current State: 76:[28, 10, 2], Operations: ['88/44=2'] Exploring Operation: 28+10=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 28+10=38 Current State: 76:[2, 38], Operations: ['88/44=2', '28+10=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 36, 75, 36 ]
62
[ "75-14=61", "36/36=1", "61+1=62" ]
Current State: 62:[14, 36, 75, 36], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [36, 36, 61] Generated Node #2: [36, 36, 61] from Operation: 75-14=61 Current State: 62:[36, 36, 61], Operations: ['75-14=61'] Exploring Operation: 36/36=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 36/36=1 Current State: 62:[61, 1], Operations: ['75-14=61', '36/36=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 30, 13, 14, 53 ]
33
[ "53-14=39", "39/13=3", "30+3=33" ]
Current State: 33:[30, 13, 14, 53], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [30, 13, 39] Generated Node #2: [30, 13, 39] from Operation: 53-14=39 Current State: 33:[30, 13, 39], Operations: ['53-14=39'] Exploring Operation: 39/13=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 39/13=3 Current State: 33:[30, 3], Operations: ['53-14=39', '39/13=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 3, 49, 24 ]
55
[ "13*24=312", "312/3=104", "104-49=55" ]
Current State: 55:[13, 3, 49, 24], Operations: [] Exploring Operation: 13*24=312, Resulting Numbers: [3, 49, 312] Generated Node #2: [3, 49, 312] from Operation: 13*24=312 Current State: 55:[3, 49, 312], Operations: ['13*24=312'] Exploring Operation: 312/3=104, Resulting Numbers: [49, 104] Generated Node #3: [49, 104] from Operation: 312/3=104 Current State: 55:[49, 104], Operations: ['13*24=312', '312/3=104'] Exploring Operation: 104-49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 21, 68, 93 ]
25
[ "22-21=1", "93-68=25", "1*25=25" ]
Current State: 25:[22, 21, 68, 93], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [68, 93, 1] Generated Node #2: [68, 93, 1] from Operation: 22-21=1 Current State: 25:[68, 93, 1], Operations: ['22-21=1'] Exploring Operation: 93-68=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 93-68=25 Current State: 25:[1, 25], Operations: ['22-21=1', '93-68=25'] Exploring Operation: 1*25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 11, 40, 16 ]
20
[ "38-16=22", "11*40=440", "440/22=20" ]
Current State: 20:[38, 11, 40, 16], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [11, 40, 22] Generated Node #2: [11, 40, 22] from Operation: 38-16=22 Current State: 20:[11, 40, 22], Operations: ['38-16=22'] Exploring Operation: 11*40=440, Resulting Numbers: [22, 440] Generated Node #3: [22, 440] from Operation: 11*40=440 Current State: 20:[22, 440], Operations: ['38-16=22', '11*40=440'] Exploring Operation: 440/22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 59, 95, 70 ]
48
[ "95-93=2", "59*2=118", "118-70=48" ]
Current State: 48:[93, 59, 95, 70], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [59, 70, 2] Generated Node #2: [59, 70, 2] from Operation: 95-93=2 Current State: 48:[59, 70, 2], Operations: ['95-93=2'] Exploring Operation: 59*2=118, Resulting Numbers: [70, 118] Generated Node #3: [70, 118] from Operation: 59*2=118 Current State: 48:[70, 118], Operations: ['95-93=2', '59*2=118'] Exploring Operation: 118-70=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 36, 4, 64 ]
79
[ "96-36=60", "60/4=15", "64+15=79" ]
Current State: 79:[96, 36, 4, 64], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [4, 64, 60] Generated Node #2: [4, 64, 60] from Operation: 96-36=60 Current State: 79:[4, 64, 60], Operations: ['96-36=60'] Exploring Operation: 60/4=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 60/4=15 Current State: 79:[64, 15], Operations: ['96-36=60', '60/4=15'] Exploring Operation: 64+15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 34, 56, 2, 29 ]
53
[ "56-34=22", "2+29=31", "22+31=53" ]
Current State: 53:[34, 56, 2, 29], Operations: [] Exploring Operation: 56-34=22, Resulting Numbers: [2, 29, 22] Generated Node #2: [2, 29, 22] from Operation: 56-34=22 Current State: 53:[2, 29, 22], Operations: ['56-34=22'] Exploring Operation: 2+29=31, Resulting Numbers: [22, 31] Generated Node #3: [22, 31] from Operation: 2+29=31 Current State: 53:[22, 31], Operations: ['56-34=22', '2+29=31'] Exploring Operation: 22+31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 93, 6, 29 ]
17
[ "51*29=1479", "93-6=87", "1479/87=17" ]
Current State: 17:[51, 93, 6, 29], Operations: [] Exploring Operation: 51*29=1479, Resulting Numbers: [93, 6, 1479] Generated Node #2: [93, 6, 1479] from Operation: 51*29=1479 Current State: 17:[93, 6, 1479], Operations: ['51*29=1479'] Exploring Operation: 93-6=87, Resulting Numbers: [1479, 87] Generated Node #3: [1479, 87] from Operation: 93-6=87 Current State: 17:[1479, 87], Operations: ['51*29=1479', '93-6=87'] Exploring Operation: 1479/87=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 57, 98, 15 ]
65
[ "22+98=120", "120/15=8", "57+8=65" ]
Current State: 65:[22, 57, 98, 15], Operations: [] Exploring Operation: 22+98=120, Resulting Numbers: [57, 15, 120] Generated Node #2: [57, 15, 120] from Operation: 22+98=120 Current State: 65:[57, 15, 120], Operations: ['22+98=120'] Exploring Operation: 120/15=8, Resulting Numbers: [57, 8] Generated Node #3: [57, 8] from Operation: 120/15=8 Current State: 65:[57, 8], Operations: ['22+98=120', '120/15=8'] Exploring Operation: 57+8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 26, 91, 13 ]
24
[ "26-13=13", "91/13=7", "31-7=24" ]
Current State: 24:[31, 26, 91, 13], Operations: [] Exploring Operation: 26-13=13, Resulting Numbers: [31, 91, 13] Generated Node #2: [31, 91, 13] from Operation: 26-13=13 Current State: 24:[31, 91, 13], Operations: ['26-13=13'] Exploring Operation: 91/13=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 91/13=7 Current State: 24:[31, 7], Operations: ['26-13=13', '91/13=7'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 90, 11, 93 ]
44
[ "93-90=3", "11*3=33", "11+33=44" ]
Current State: 44:[11, 90, 11, 93], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [11, 11, 3] Generated Node #2: [11, 11, 3] from Operation: 93-90=3 Current State: 44:[11, 11, 3], Operations: ['93-90=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,44 equal: Goal Reached Exploring Operation: 11+33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 75, 20, 50 ]
26
[ "59-20=39", "50*39=1950", "1950/75=26" ]
Current State: 26:[59, 75, 20, 50], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [75, 50, 39] Generated Node #2: [75, 50, 39] from Operation: 59-20=39 Current State: 26:[75, 50, 39], Operations: ['59-20=39'] Exploring Operation: 50*39=1950, Resulting Numbers: [75, 1950] Generated Node #3: [75, 1950] from Operation: 50*39=1950 Current State: 26:[75, 1950], Operations: ['59-20=39', '50*39=1950'] Exploring Operation: 1950/75=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 8, 72, 58, 27 ]
49
[ "8+72=80", "58-27=31", "80-31=49" ]
Current State: 49:[8, 72, 58, 27], Operations: [] Exploring Operation: 8+72=80, Resulting Numbers: [58, 27, 80] Generated Node #2: [58, 27, 80] from Operation: 8+72=80 Current State: 49:[58, 27, 80], Operations: ['8+72=80'] Exploring Operation: 58-27=31, Resulting Numbers: [80, 31] Generated Node #3: [80, 31] from Operation: 58-27=31 Current State: 49:[80, 31], Operations: ['8+72=80', '58-27=31'] Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 58, 2, 52, 11 ]
33
[ "58-52=6", "6/2=3", "11*3=33" ]
Current State: 33:[58, 2, 52, 11], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [2, 11, 6] Generated Node #2: [2, 11, 6] from Operation: 58-52=6 Current State: 33:[2, 11, 6], Operations: ['58-52=6'] Exploring Operation: 6/2=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 6/2=3 Current State: 33:[11, 3], Operations: ['58-52=6', '6/2=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 40, 39, 45, 7 ]
51
[ "40-39=1", "45+7=52", "52-1=51" ]
Current State: 51:[40, 39, 45, 7], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [45, 7, 1] Generated Node #2: [45, 7, 1] from Operation: 40-39=1 Current State: 51:[45, 7, 1], Operations: ['40-39=1'] Exploring Operation: 45+7=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 45+7=52 Current State: 51:[1, 52], Operations: ['40-39=1', '45+7=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 95, 30, 2, 49 ]
53
[ "95-49=46", "46/2=23", "30+23=53" ]
Current State: 53:[95, 30, 2, 49], Operations: [] Exploring Operation: 95-49=46, Resulting Numbers: [30, 2, 46] Generated Node #2: [30, 2, 46] from Operation: 95-49=46 Current State: 53:[30, 2, 46], Operations: ['95-49=46'] Exploring Operation: 46/2=23, Resulting Numbers: [30, 23] Generated Node #3: [30, 23] from Operation: 46/2=23 Current State: 53:[30, 23], Operations: ['95-49=46', '46/2=23'] Exploring Operation: 30+23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 21, 94, 4, 23 ]
24
[ "94-21=73", "23+73=96", "96/4=24" ]
Current State: 24:[21, 94, 4, 23], Operations: [] Exploring Operation: 94-21=73, Resulting Numbers: [4, 23, 73] Generated Node #2: [4, 23, 73] from Operation: 94-21=73 Current State: 24:[4, 23, 73], Operations: ['94-21=73'] Exploring Operation: 23+73=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 23+73=96 Current State: 24:[4, 96], Operations: ['94-21=73', '23+73=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 20, 31, 62, 74 ]
47
[ "20+74=94", "62/31=2", "94/2=47" ]
Current State: 47:[20, 31, 62, 74], Operations: [] Exploring Operation: 20+74=94, Resulting Numbers: [31, 62, 94] Generated Node #2: [31, 62, 94] from Operation: 20+74=94 Current State: 47:[31, 62, 94], Operations: ['20+74=94'] Exploring Operation: 62/31=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 62/31=2 Current State: 47:[94, 2], Operations: ['20+74=94', '62/31=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 29, 29, 14, 36 ]
58
[ "29*14=406", "36-29=7", "406/7=58" ]
Current State: 58:[29, 29, 14, 36], Operations: [] Exploring Operation: 29*14=406, Resulting Numbers: [36, 406] Generated Node #2: [36, 406] from Operation: 29*14=406 Current State: 58:[36, 406], Operations: ['29*14=406'] Exploring Operation: 36-29=7, Resulting Numbers: [406, 7] Generated Node #3: [406, 7] from Operation: 36-29=7 Current State: 58:[406, 7], Operations: ['29*14=406', '36-29=7'] Exploring Operation: 406/7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 24, 32, 5 ]
13
[ "9+24=33", "32+33=65", "65/5=13" ]
Current State: 13:[9, 24, 32, 5], Operations: [] Exploring Operation: 9+24=33, Resulting Numbers: [32, 5, 33] Generated Node #2: [32, 5, 33] from Operation: 9+24=33 Current State: 13:[32, 5, 33], Operations: ['9+24=33'] Exploring Operation: 32+33=65, Resulting Numbers: [5, 65] Generated Node #3: [5, 65] from Operation: 32+33=65 Current State: 13:[5, 65], Operations: ['9+24=33', '32+33=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 63, 9, 99, 12 ]
63
[ "99/9=11", "12-11=1", "63*1=63" ]
Current State: 63:[63, 9, 99, 12], Operations: [] Exploring Operation: 99/9=11, Resulting Numbers: [63, 12, 11] Generated Node #2: [63, 12, 11] from Operation: 99/9=11 Current State: 63:[63, 12, 11], Operations: ['99/9=11'] Exploring Operation: 12-11=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 12-11=1 Current State: 63:[63, 1], Operations: ['99/9=11', '12-11=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 63, 86, 49 ]
84
[ "63-16=47", "86-49=37", "47+37=84" ]
Current State: 84:[16, 63, 86, 49], Operations: [] Exploring Operation: 63-16=47, Resulting Numbers: [86, 49, 47] Generated Node #2: [86, 49, 47] from Operation: 63-16=47 Current State: 84:[86, 49, 47], Operations: ['63-16=47'] Exploring Operation: 86-49=37, Resulting Numbers: [47, 37] Generated Node #3: [47, 37] from Operation: 86-49=37 Current State: 84:[47, 37], Operations: ['63-16=47', '86-49=37'] Exploring Operation: 47+37=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 10, 55, 7, 34 ]
47
[ "10-7=3", "34*3=102", "102-55=47" ]
Current State: 47:[10, 55, 7, 34], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [55, 34, 3] Generated Node #2: [55, 34, 3] from Operation: 10-7=3 Current State: 47:[55, 34, 3], Operations: ['10-7=3'] Exploring Operation: 34*3=102, Resulting Numbers: [55, 102] Generated Node #3: [55, 102] from Operation: 34*3=102 Current State: 47:[55, 102], Operations: ['10-7=3', '34*3=102'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 51, 46, 30 ]
90
[ "51-46=5", "24*5=120", "120-30=90" ]
Current State: 90:[24, 51, 46, 30], Operations: [] Exploring Operation: 51-46=5, Resulting Numbers: [24, 30, 5] Generated Node #2: [24, 30, 5] from Operation: 51-46=5 Current State: 90:[24, 30, 5], Operations: ['51-46=5'] Exploring Operation: 24*5=120, Resulting Numbers: [30, 120] Generated Node #3: [30, 120] from Operation: 24*5=120 Current State: 90:[30, 120], Operations: ['51-46=5', '24*5=120'] Exploring Operation: 120-30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 27, 73, 80 ]
10
[ "38+27=65", "73-65=8", "80/8=10" ]
Current State: 10:[38, 27, 73, 80], Operations: [] Exploring Operation: 38+27=65, Resulting Numbers: [73, 80, 65] Generated Node #2: [73, 80, 65] from Operation: 38+27=65 Current State: 10:[73, 80, 65], Operations: ['38+27=65'] Exploring Operation: 73-65=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 73-65=8 Current State: 10:[80, 8], Operations: ['38+27=65', '73-65=8'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 88, 72, 24, 42 ]
28
[ "88-72=16", "42*16=672", "672/24=28" ]
Current State: 28:[88, 72, 24, 42], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [24, 42, 16] Generated Node #2: [24, 42, 16] from Operation: 88-72=16 Current State: 28:[24, 42, 16], Operations: ['88-72=16'] Exploring Operation: 42*16=672, Resulting Numbers: [24, 672] Generated Node #3: [24, 672] from Operation: 42*16=672 Current State: 28:[24, 672], Operations: ['88-72=16', '42*16=672'] Exploring Operation: 672/24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 7, 78, 84 ]
54
[ "84+84=168", "168/7=24", "78-24=54" ]
Current State: 54:[84, 7, 78, 84], Operations: [] Exploring Operation: 84+84=168, Resulting Numbers: [7, 78, 168] Generated Node #2: [7, 78, 168] from Operation: 84+84=168 Current State: 54:[7, 78, 168], Operations: ['84+84=168'] Exploring Operation: 168/7=24, Resulting Numbers: [78, 24] Generated Node #3: [78, 24] from Operation: 168/7=24 Current State: 54:[78, 24], Operations: ['84+84=168', '168/7=24'] Exploring Operation: 78-24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 45, 47, 91, 79 ]
14
[ "47-45=2", "91-79=12", "2+12=14" ]
Current State: 14:[45, 47, 91, 79], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [91, 79, 2] Generated Node #2: [91, 79, 2] from Operation: 47-45=2 Current State: 14:[91, 79, 2], Operations: ['47-45=2'] Exploring Operation: 91-79=12, Resulting Numbers: [2, 12] Generated Node #3: [2, 12] from Operation: 91-79=12 Current State: 14:[2, 12], Operations: ['47-45=2', '91-79=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 40, 85, 73 ]
33
[ "85-84=1", "73-40=33", "1*33=33" ]
Current State: 33:[84, 40, 85, 73], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [40, 73, 1] Generated Node #2: [40, 73, 1] from Operation: 85-84=1 Current State: 33:[40, 73, 1], Operations: ['85-84=1'] Exploring Operation: 73-40=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 73-40=33 Current State: 33:[1, 33], Operations: ['85-84=1', '73-40=33'] Exploring Operation: 1*33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 63, 70, 79 ]
63
[ "63-56=7", "79-70=9", "7*9=63" ]
Current State: 63:[56, 63, 70, 79], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [70, 79, 7] Generated Node #2: [70, 79, 7] from Operation: 63-56=7 Current State: 63:[70, 79, 7], Operations: ['63-56=7'] Exploring Operation: 79-70=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 79-70=9 Current State: 63:[7, 9], Operations: ['63-56=7', '79-70=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 75, 63, 3, 96 ]
42
[ "96-75=21", "63/3=21", "21+21=42" ]
Current State: 42:[75, 63, 3, 96], Operations: [] Exploring Operation: 96-75=21, Resulting Numbers: [63, 3, 21] Generated Node #2: [63, 3, 21] from Operation: 96-75=21 Current State: 42:[63, 3, 21], Operations: ['96-75=21'] Exploring Operation: 63/3=21, Resulting Numbers: [21, 21] Generated Node #3: [21, 21] from Operation: 63/3=21 Current State: 42:[21, 21], Operations: ['96-75=21', '63/3=21'] Exploring Operation: 21+21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 46, 8, 92, 99 ]
10
[ "99-92=7", "8*7=56", "56-46=10" ]
Current State: 10:[46, 8, 92, 99], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [46, 8, 7] Generated Node #2: [46, 8, 7] from Operation: 99-92=7 Current State: 10:[46, 8, 7], Operations: ['99-92=7'] Exploring Operation: 8*7=56, Resulting Numbers: [46, 56] Generated Node #3: [46, 56] from Operation: 8*7=56 Current State: 10:[46, 56], Operations: ['99-92=7', '8*7=56'] Exploring Operation: 56-46=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 74, 83, 81, 2 ]
99
[ "83-74=9", "2*9=18", "81+18=99" ]
Current State: 99:[74, 83, 81, 2], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [81, 2, 9] Generated Node #2: [81, 2, 9] from Operation: 83-74=9 Current State: 99:[81, 2, 9], Operations: ['83-74=9'] Exploring Operation: 2*9=18, Resulting Numbers: [81, 18] Generated Node #3: [81, 18] from Operation: 2*9=18 Current State: 99:[81, 18], Operations: ['83-74=9', '2*9=18'] Exploring Operation: 81+18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 47, 38, 43 ]
34
[ "68+47=115", "38+43=81", "115-81=34" ]
Current State: 34:[68, 47, 38, 43], Operations: [] Exploring Operation: 68+47=115, Resulting Numbers: [38, 43, 115] Generated Node #2: [38, 43, 115] from Operation: 68+47=115 Current State: 34:[38, 43, 115], Operations: ['68+47=115'] Exploring Operation: 38+43=81, Resulting Numbers: [115, 81] Generated Node #3: [115, 81] from Operation: 38+43=81 Current State: 34:[115, 81], Operations: ['68+47=115', '38+43=81'] Exploring Operation: 115-81=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 92, 21, 52 ]
76
[ "60-52=8", "21*8=168", "168-92=76" ]
Current State: 76:[60, 92, 21, 52], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [92, 21, 8] Generated Node #2: [92, 21, 8] from Operation: 60-52=8 Current State: 76:[92, 21, 8], Operations: ['60-52=8'] Exploring Operation: 21*8=168, Resulting Numbers: [92, 168] Generated Node #3: [92, 168] from Operation: 21*8=168 Current State: 76:[92, 168], Operations: ['60-52=8', '21*8=168'] Exploring Operation: 168-92=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 87, 79, 64 ]
49
[ "87-79=8", "64/8=8", "41+8=49" ]
Current State: 49:[41, 87, 79, 64], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [41, 64, 8] Generated Node #2: [41, 64, 8] from Operation: 87-79=8 Current State: 49:[41, 64, 8], Operations: ['87-79=8'] Exploring Operation: 64/8=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 64/8=8 Current State: 49:[41, 8], Operations: ['87-79=8', '64/8=8'] Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 98, 57, 80, 66 ]
64
[ "80-66=14", "98/14=7", "57+7=64" ]
Current State: 64:[98, 57, 80, 66], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [98, 57, 14] Generated Node #2: [98, 57, 14] from Operation: 80-66=14 Current State: 64:[98, 57, 14], Operations: ['80-66=14'] Exploring Operation: 98/14=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 98/14=7 Current State: 64:[57, 7], Operations: ['80-66=14', '98/14=7'] Exploring Operation: 57+7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 11, 53, 39, 8 ]
24
[ "53-11=42", "42-39=3", "8*3=24" ]
Current State: 24:[11, 53, 39, 8], Operations: [] Exploring Operation: 53-11=42, Resulting Numbers: [39, 8, 42] Generated Node #2: [39, 8, 42] from Operation: 53-11=42 Current State: 24:[39, 8, 42], Operations: ['53-11=42'] Exploring Operation: 42-39=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 42-39=3 Current State: 24:[8, 3], Operations: ['53-11=42', '42-39=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 61, 1, 14 ]
37
[ "83-61=22", "1+14=15", "22+15=37" ]
Current State: 37:[83, 61, 1, 14], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [1, 14, 22] Generated Node #2: [1, 14, 22] from Operation: 83-61=22 Current State: 37:[1, 14, 22], Operations: ['83-61=22'] Exploring Operation: 1+14=15, Resulting Numbers: [22, 15] Generated Node #3: [22, 15] from Operation: 1+14=15 Current State: 37:[22, 15], Operations: ['83-61=22', '1+14=15'] Exploring Operation: 22+15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 43, 90, 41 ]
92
[ "82-43=39", "90+41=131", "131-39=92" ]
Current State: 92:[82, 43, 90, 41], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [90, 41, 39] Generated Node #2: [90, 41, 39] from Operation: 82-43=39 Current State: 92:[90, 41, 39], Operations: ['82-43=39'] Exploring Operation: 90+41=131, Resulting Numbers: [39, 131] Generated Node #3: [39, 131] from Operation: 90+41=131 Current State: 92:[39, 131], Operations: ['82-43=39', '90+41=131'] Exploring Operation: 131-39=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 6, 87, 5, 21 ]
77
[ "6+87=93", "21-5=16", "93-16=77" ]
Current State: 77:[6, 87, 5, 21], Operations: [] Exploring Operation: 6+87=93, Resulting Numbers: [5, 21, 93] Generated Node #2: [5, 21, 93] from Operation: 6+87=93 Current State: 77:[5, 21, 93], Operations: ['6+87=93'] Exploring Operation: 21-5=16, Resulting Numbers: [93, 16] Generated Node #3: [93, 16] from Operation: 21-5=16 Current State: 77:[93, 16], Operations: ['6+87=93', '21-5=16'] Exploring Operation: 93-16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 17, 69, 33, 2 ]
35
[ "69-33=36", "36/2=18", "17+18=35" ]
Current State: 35:[17, 69, 33, 2], Operations: [] Exploring Operation: 69-33=36, Resulting Numbers: [17, 2, 36] Generated Node #2: [17, 2, 36] from Operation: 69-33=36 Current State: 35:[17, 2, 36], Operations: ['69-33=36'] Exploring Operation: 36/2=18, Resulting Numbers: [17, 18] Generated Node #3: [17, 18] from Operation: 36/2=18 Current State: 35:[17, 18], Operations: ['69-33=36', '36/2=18'] Exploring Operation: 17+18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 93, 10, 5, 75 ]
90
[ "93-75=18", "10-5=5", "18*5=90" ]
Current State: 90:[93, 10, 5, 75], Operations: [] Exploring Operation: 93-75=18, Resulting Numbers: [10, 5, 18] Generated Node #2: [10, 5, 18] from Operation: 93-75=18 Current State: 90:[10, 5, 18], Operations: ['93-75=18'] Exploring Operation: 10-5=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 10-5=5 Current State: 90:[18, 5], Operations: ['93-75=18', '10-5=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 20, 75, 86 ]
86
[ "75-75=0", "20*0=0", "86+0=86" ]
Current State: 86:[75, 20, 75, 86], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [20, 86, 0] Generated Node #2: [20, 86, 0] from Operation: 75-75=0 Current State: 86:[20, 86, 0], Operations: ['75-75=0'] Exploring Operation: 20*0=0, Resulting Numbers: [86, 0] Generated Node #3: [86, 0] from Operation: 20*0=0 Current State: 86:[86, 0], Operations: ['75-75=0', '20*0=0'] Exploring Operation: 86+0=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 58, 71, 19, 84 ]
14
[ "71-58=13", "19-13=6", "84/6=14" ]
Current State: 14:[58, 71, 19, 84], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [19, 84, 13] Generated Node #2: [19, 84, 13] from Operation: 71-58=13 Current State: 14:[19, 84, 13], Operations: ['71-58=13'] Exploring Operation: 19-13=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 19-13=6 Current State: 14:[84, 6], Operations: ['71-58=13', '19-13=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 44, 36, 2 ]
31
[ "78/2=39", "44-36=8", "39-8=31" ]
Current State: 31:[78, 44, 36, 2], Operations: [] Exploring Operation: 78/2=39, Resulting Numbers: [44, 36, 39] Generated Node #2: [44, 36, 39] from Operation: 78/2=39 Current State: 31:[44, 36, 39], Operations: ['78/2=39'] Exploring Operation: 44-36=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 44-36=8 Current State: 31:[39, 8], Operations: ['78/2=39', '44-36=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 40, 49, 6 ]
97
[ "49-40=9", "6*9=54", "43+54=97" ]
Current State: 97:[43, 40, 49, 6], Operations: [] Exploring Operation: 49-40=9, Resulting Numbers: [43, 6, 9] Generated Node #2: [43, 6, 9] from Operation: 49-40=9 Current State: 97:[43, 6, 9], Operations: ['49-40=9'] Exploring Operation: 6*9=54, Resulting Numbers: [43, 54] Generated Node #3: [43, 54] from Operation: 6*9=54 Current State: 97:[43, 54], Operations: ['49-40=9', '6*9=54'] Exploring Operation: 43+54=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 23, 77, 13, 55 ]
58
[ "23+77=100", "55-13=42", "100-42=58" ]
Current State: 58:[23, 77, 13, 55], Operations: [] Exploring Operation: 23+77=100, Resulting Numbers: [13, 55, 100] Generated Node #2: [13, 55, 100] from Operation: 23+77=100 Current State: 58:[13, 55, 100], Operations: ['23+77=100'] Exploring Operation: 55-13=42, Resulting Numbers: [100, 42] Generated Node #3: [100, 42] from Operation: 55-13=42 Current State: 58:[100, 42], Operations: ['23+77=100', '55-13=42'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 48, 28, 24 ]
47
[ "48-5=43", "28-24=4", "43+4=47" ]
Current State: 47:[5, 48, 28, 24], Operations: [] Exploring Operation: 48-5=43, Resulting Numbers: [28, 24, 43] Generated Node #2: [28, 24, 43] from Operation: 48-5=43 Current State: 47:[28, 24, 43], Operations: ['48-5=43'] Exploring Operation: 28-24=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 28-24=4 Current State: 47:[43, 4], Operations: ['48-5=43', '28-24=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 7, 70, 64 ]
42
[ "7*70=490", "7*64=448", "490-448=42" ]
Current State: 42:[7, 7, 70, 64], Operations: [] Exploring Operation: 7*70=490, Resulting Numbers: [64, 490] Generated Node #2: [64, 490] from Operation: 7*70=490 Current State: 42:[64, 490], Operations: ['7*70=490'] Exploring Operation: 7*64=448, Resulting Numbers: [490, 448] Generated Node #3: [490, 448] from Operation: 7*64=448 Current State: 42:[490, 448], Operations: ['7*70=490', '7*64=448'] Exploring Operation: 490-448=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 76, 52, 8, 24 ]
19
[ "76+52=128", "24+128=152", "152/8=19" ]
Current State: 19:[76, 52, 8, 24], Operations: [] Exploring Operation: 76+52=128, Resulting Numbers: [8, 24, 128] Generated Node #2: [8, 24, 128] from Operation: 76+52=128 Current State: 19:[8, 24, 128], Operations: ['76+52=128'] Exploring Operation: 24+128=152, Resulting Numbers: [8, 152] Generated Node #3: [8, 152] from Operation: 24+128=152 Current State: 19:[8, 152], Operations: ['76+52=128', '24+128=152'] Exploring Operation: 152/8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 65, 43, 32 ]
58
[ "68+65=133", "43+32=75", "133-75=58" ]
Current State: 58:[68, 65, 43, 32], Operations: [] Exploring Operation: 68+65=133, Resulting Numbers: [43, 32, 133] Generated Node #2: [43, 32, 133] from Operation: 68+65=133 Current State: 58:[43, 32, 133], Operations: ['68+65=133'] Exploring Operation: 43+32=75, Resulting Numbers: [133, 75] Generated Node #3: [133, 75] from Operation: 43+32=75 Current State: 58:[133, 75], Operations: ['68+65=133', '43+32=75'] Exploring Operation: 133-75=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 86, 3, 14 ]
58
[ "86-17=69", "14-3=11", "69-11=58" ]
Current State: 58:[17, 86, 3, 14], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [3, 14, 69] Generated Node #2: [3, 14, 69] from Operation: 86-17=69 Current State: 58:[3, 14, 69], Operations: ['86-17=69'] Exploring Operation: 14-3=11, Resulting Numbers: [69, 11] Generated Node #3: [69, 11] from Operation: 14-3=11 Current State: 58:[69, 11], Operations: ['86-17=69', '14-3=11'] Exploring Operation: 69-11=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 53, 24, 57 ]
72
[ "42-24=18", "57-53=4", "18*4=72" ]
Current State: 72:[42, 53, 24, 57], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [53, 57, 18] Generated Node #2: [53, 57, 18] from Operation: 42-24=18 Current State: 72:[53, 57, 18], Operations: ['42-24=18'] Exploring Operation: 57-53=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 57-53=4 Current State: 72:[18, 4], Operations: ['42-24=18', '57-53=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 91, 21, 91, 98 ]
65
[ "91-21=70", "91*70=6370", "6370/98=65" ]
Current State: 65:[91, 21, 91, 98], Operations: [] Exploring Operation: 91-21=70, Resulting Numbers: [98, 70] Generated Node #2: [98, 70] from Operation: 91-21=70 Current State: 65:[98, 70], Operations: ['91-21=70'] Exploring Operation: 91*70=6370, Resulting Numbers: [98, 6370] Generated Node #3: [98, 6370] from Operation: 91*70=6370 Current State: 65:[98, 6370], Operations: ['91-21=70', '91*70=6370'] Exploring Operation: 6370/98=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 93, 65, 56 ]
92
[ "65-9=56", "56/56=1", "93-1=92" ]
Current State: 92:[9, 93, 65, 56], Operations: [] Exploring Operation: 65-9=56, Resulting Numbers: [93, 56, 56] Generated Node #2: [93, 56, 56] from Operation: 65-9=56 Current State: 92:[93, 56, 56], Operations: ['65-9=56'] Exploring Operation: 56/56=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 56/56=1 Current State: 92:[93, 1], Operations: ['65-9=56', '56/56=1'] Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 86, 74, 10, 20 ]
16
[ "86+74=160", "20-10=10", "160/10=16" ]
Current State: 16:[86, 74, 10, 20], Operations: [] Exploring Operation: 86+74=160, Resulting Numbers: [10, 20, 160] Generated Node #2: [10, 20, 160] from Operation: 86+74=160 Current State: 16:[10, 20, 160], Operations: ['86+74=160'] Exploring Operation: 20-10=10, Resulting Numbers: [160, 10] Generated Node #3: [160, 10] from Operation: 20-10=10 Current State: 16:[160, 10], Operations: ['86+74=160', '20-10=10'] Exploring Operation: 160/10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 84, 81, 12, 75 ]
39
[ "84-81=3", "12*3=36", "75-36=39" ]
Current State: 39:[84, 81, 12, 75], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [12, 75, 3] Generated Node #2: [12, 75, 3] from Operation: 84-81=3 Current State: 39:[12, 75, 3], Operations: ['84-81=3'] Exploring Operation: 12*3=36, Resulting Numbers: [75, 36] Generated Node #3: [75, 36] from Operation: 12*3=36 Current State: 39:[75, 36], Operations: ['84-81=3', '12*3=36'] Exploring Operation: 75-36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 6, 17, 3 ]
36
[ "31-17=14", "3*14=42", "42-6=36" ]
Current State: 36:[31, 6, 17, 3], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [6, 3, 14] Generated Node #2: [6, 3, 14] from Operation: 31-17=14 Current State: 36:[6, 3, 14], Operations: ['31-17=14'] Exploring Operation: 3*14=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 3*14=42 Current State: 36:[6, 42], Operations: ['31-17=14', '3*14=42'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 93, 11, 87 ]
93
[ "9*11=99", "93-87=6", "99-6=93" ]
Current State: 93:[9, 93, 11, 87], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [93, 87, 99] Generated Node #2: [93, 87, 99] from Operation: 9*11=99 Current State: 93:[93, 87, 99], Operations: ['9*11=99'] Exploring Operation: 93-87=6, Resulting Numbers: [99, 6] Generated Node #3: [99, 6] from Operation: 93-87=6 Current State: 93:[99, 6], Operations: ['9*11=99', '93-87=6'] Exploring Operation: 99-6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 4, 26, 22 ]
33
[ "81-26=55", "4*22=88", "88-55=33" ]
Current State: 33:[81, 4, 26, 22], Operations: [] Exploring Operation: 81-26=55, Resulting Numbers: [4, 22, 55] Generated Node #2: [4, 22, 55] from Operation: 81-26=55 Current State: 33:[4, 22, 55], Operations: ['81-26=55'] Exploring Operation: 4*22=88, Resulting Numbers: [55, 88] Generated Node #3: [55, 88] from Operation: 4*22=88 Current State: 33:[55, 88], Operations: ['81-26=55', '4*22=88'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 51, 48, 60, 37 ]
26
[ "51-48=3", "60-37=23", "3+23=26" ]
Current State: 26:[51, 48, 60, 37], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [60, 37, 3] Generated Node #2: [60, 37, 3] from Operation: 51-48=3 Current State: 26:[60, 37, 3], Operations: ['51-48=3'] Exploring Operation: 60-37=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 60-37=23 Current State: 26:[3, 23], Operations: ['51-48=3', '60-37=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 14, 38, 78, 73 ]
47
[ "14+38=52", "78-73=5", "52-5=47" ]
Current State: 47:[14, 38, 78, 73], Operations: [] Exploring Operation: 14+38=52, Resulting Numbers: [78, 73, 52] Generated Node #2: [78, 73, 52] from Operation: 14+38=52 Current State: 47:[78, 73, 52], Operations: ['14+38=52'] Exploring Operation: 78-73=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 78-73=5 Current State: 47:[52, 5], Operations: ['14+38=52', '78-73=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 52, 86, 79 ]
44
[ "52-1=51", "86-79=7", "51-7=44" ]
Current State: 44:[1, 52, 86, 79], Operations: [] Exploring Operation: 52-1=51, Resulting Numbers: [86, 79, 51] Generated Node #2: [86, 79, 51] from Operation: 52-1=51 Current State: 44:[86, 79, 51], Operations: ['52-1=51'] Exploring Operation: 86-79=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 86-79=7 Current State: 44:[51, 7], Operations: ['52-1=51', '86-79=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 61, 1, 1, 83 ]
21
[ "61+1=62", "1*83=83", "83-62=21" ]
Current State: 21:[61, 1, 1, 83], Operations: [] Exploring Operation: 61+1=62, Resulting Numbers: [83, 62] Generated Node #2: [83, 62] from Operation: 61+1=62 Current State: 21:[83, 62], Operations: ['61+1=62'] Exploring Operation: 1*83=83, Resulting Numbers: [62, 83] Generated Node #3: [62, 83] from Operation: 1*83=83 Current State: 21:[62, 83], Operations: ['61+1=62', '1*83=83'] Exploring Operation: 83-62=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 9, 94, 72 ]
40
[ "2*9=18", "94-72=22", "18+22=40" ]
Current State: 40:[2, 9, 94, 72], Operations: [] Exploring Operation: 2*9=18, Resulting Numbers: [94, 72, 18] Generated Node #2: [94, 72, 18] from Operation: 2*9=18 Current State: 40:[94, 72, 18], Operations: ['2*9=18'] Exploring Operation: 94-72=22, Resulting Numbers: [18, 22] Generated Node #3: [18, 22] from Operation: 94-72=22 Current State: 40:[18, 22], Operations: ['2*9=18', '94-72=22'] Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 54, 87, 60 ]
57
[ "54-52=2", "60/2=30", "87-30=57" ]
Current State: 57:[52, 54, 87, 60], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [87, 60, 2] Generated Node #2: [87, 60, 2] from Operation: 54-52=2 Current State: 57:[87, 60, 2], Operations: ['54-52=2'] Exploring Operation: 60/2=30, Resulting Numbers: [87, 30] Generated Node #3: [87, 30] from Operation: 60/2=30 Current State: 57:[87, 30], Operations: ['54-52=2', '60/2=30'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 71, 66, 50 ]
74
[ "71*66=4686", "50+4686=4736", "4736/64=74" ]
Current State: 74:[64, 71, 66, 50], Operations: [] Exploring Operation: 71*66=4686, Resulting Numbers: [64, 50, 4686] Generated Node #2: [64, 50, 4686] from Operation: 71*66=4686 Current State: 74:[64, 50, 4686], Operations: ['71*66=4686'] Exploring Operation: 50+4686=4736, Resulting Numbers: [64, 4736] Generated Node #3: [64, 4736] from Operation: 50+4686=4736 Current State: 74:[64, 4736], Operations: ['71*66=4686', '50+4686=4736'] Exploring Operation: 4736/64=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 17, 81, 35 ]
14
[ "85+17=102", "81+35=116", "116-102=14" ]
Current State: 14:[85, 17, 81, 35], Operations: [] Exploring Operation: 85+17=102, Resulting Numbers: [81, 35, 102] Generated Node #2: [81, 35, 102] from Operation: 85+17=102 Current State: 14:[81, 35, 102], Operations: ['85+17=102'] Exploring Operation: 81+35=116, Resulting Numbers: [102, 116] Generated Node #3: [102, 116] from Operation: 81+35=116 Current State: 14:[102, 116], Operations: ['85+17=102', '81+35=116'] Exploring Operation: 116-102=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 3, 88, 84 ]
74
[ "88-58=30", "30/3=10", "84-10=74" ]
Current State: 74:[58, 3, 88, 84], Operations: [] Exploring Operation: 88-58=30, Resulting Numbers: [3, 84, 30] Generated Node #2: [3, 84, 30] from Operation: 88-58=30 Current State: 74:[3, 84, 30], Operations: ['88-58=30'] Exploring Operation: 30/3=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 30/3=10 Current State: 74:[84, 10], Operations: ['88-58=30', '30/3=10'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 18, 54, 26 ]
78
[ "33+18=51", "54-51=3", "26*3=78" ]
Current State: 78:[33, 18, 54, 26], Operations: [] Exploring Operation: 33+18=51, Resulting Numbers: [54, 26, 51] Generated Node #2: [54, 26, 51] from Operation: 33+18=51 Current State: 78:[54, 26, 51], Operations: ['33+18=51'] Exploring Operation: 54-51=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 54-51=3 Current State: 78:[26, 3], Operations: ['33+18=51', '54-51=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 60, 40, 23 ]
39
[ "40/20=2", "60-23=37", "2+37=39" ]
Current State: 39:[20, 60, 40, 23], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [60, 23, 2] Generated Node #2: [60, 23, 2] from Operation: 40/20=2 Current State: 39:[60, 23, 2], Operations: ['40/20=2'] Exploring Operation: 60-23=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 60-23=37 Current State: 39:[2, 37], Operations: ['40/20=2', '60-23=37'] Exploring Operation: 2+37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 54, 64, 84, 46 ]
67
[ "54+84=138", "138/46=3", "64+3=67" ]
Current State: 67:[54, 64, 84, 46], Operations: [] Exploring Operation: 54+84=138, Resulting Numbers: [64, 46, 138] Generated Node #2: [64, 46, 138] from Operation: 54+84=138 Current State: 67:[64, 46, 138], Operations: ['54+84=138'] Exploring Operation: 138/46=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 138/46=3 Current State: 67:[64, 3], Operations: ['54+84=138', '138/46=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4