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
[ 45, 28, 87, 44 ]
14
[ "87-45=42", "44-42=2", "28/2=14" ]
Current State: 14:[45, 28, 87, 44], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [28, 44, 42] Generated Node #2: [28, 44, 42] from Operation: 87-45=42 Current State: 14:[28, 44, 42], Operations: ['87-45=42'] Exploring Operation: 44-42=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 44-42=2 Current State: 14:[28, 2], Operations: ['87-45=42', '44-42=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 34, 11, 80 ]
61
[ "80/5=16", "34+11=45", "16+45=61" ]
Current State: 61:[5, 34, 11, 80], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [34, 11, 16] Generated Node #2: [34, 11, 16] from Operation: 80/5=16 Current State: 61:[34, 11, 16], Operations: ['80/5=16'] Exploring Operation: 34+11=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 34+11=45 Current State: 61:[16, 45], Operations: ['80/5=16', '34+11=45'] Exploring Operation: 16+45=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 6, 34, 98 ]
16
[ "68/34=2", "98-2=96", "96/6=16" ]
Current State: 16:[68, 6, 34, 98], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [6, 98, 2] Generated Node #2: [6, 98, 2] from Operation: 68/34=2 Current State: 16:[6, 98, 2], Operations: ['68/34=2'] Exploring Operation: 98-2=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 98-2=96 Current State: 16:[6, 96], Operations: ['68/34=2', '98-2=96'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 62, 6, 65, 49 ]
47
[ "65-62=3", "6/3=2", "49-2=47" ]
Current State: 47:[62, 6, 65, 49], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [6, 49, 3] Generated Node #2: [6, 49, 3] from Operation: 65-62=3 Current State: 47:[6, 49, 3], Operations: ['65-62=3'] Exploring Operation: 6/3=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 6/3=2 Current State: 47:[49, 2], Operations: ['65-62=3', '6/3=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 33, 68, 27, 99 ]
13
[ "99/33=3", "27*3=81", "81-68=13" ]
Current State: 13:[33, 68, 27, 99], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [68, 27, 3] Generated Node #2: [68, 27, 3] from Operation: 99/33=3 Current State: 13:[68, 27, 3], Operations: ['99/33=3'] Exploring Operation: 27*3=81, Resulting Numbers: [68, 81] Generated Node #3: [68, 81] from Operation: 27*3=81 Current State: 13:[68, 81], Operations: ['99/33=3', '27*3=81'] Exploring Operation: 81-68=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 69, 84, 67, 10 ]
32
[ "69-67=2", "84/2=42", "42-10=32" ]
Current State: 32:[69, 84, 67, 10], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [84, 10, 2] Generated Node #2: [84, 10, 2] from Operation: 69-67=2 Current State: 32:[84, 10, 2], Operations: ['69-67=2'] Exploring Operation: 84/2=42, Resulting Numbers: [10, 42] Generated Node #3: [10, 42] from Operation: 84/2=42 Current State: 32:[10, 42], Operations: ['69-67=2', '84/2=42'] Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 13, 57, 64 ]
83
[ "77+13=90", "64-57=7", "90-7=83" ]
Current State: 83:[77, 13, 57, 64], Operations: [] Exploring Operation: 77+13=90, Resulting Numbers: [57, 64, 90] Generated Node #2: [57, 64, 90] from Operation: 77+13=90 Current State: 83:[57, 64, 90], Operations: ['77+13=90'] Exploring Operation: 64-57=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 64-57=7 Current State: 83:[90, 7], Operations: ['77+13=90', '64-57=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 12, 6, 24, 57 ]
73
[ "12+57=69", "24/6=4", "69+4=73" ]
Current State: 73:[12, 6, 24, 57], Operations: [] Exploring Operation: 12+57=69, Resulting Numbers: [6, 24, 69] Generated Node #2: [6, 24, 69] from Operation: 12+57=69 Current State: 73:[6, 24, 69], Operations: ['12+57=69'] Exploring Operation: 24/6=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 24/6=4 Current State: 73:[69, 4], Operations: ['12+57=69', '24/6=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 27, 46, 42 ]
49
[ "42-27=15", "15/5=3", "46+3=49" ]
Current State: 49:[5, 27, 46, 42], Operations: [] Exploring Operation: 42-27=15, Resulting Numbers: [5, 46, 15] Generated Node #2: [5, 46, 15] from Operation: 42-27=15 Current State: 49:[5, 46, 15], Operations: ['42-27=15'] Exploring Operation: 15/5=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 15/5=3 Current State: 49:[46, 3], Operations: ['42-27=15', '15/5=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 49, 78, 88 ]
94
[ "55+49=104", "88-78=10", "104-10=94" ]
Current State: 94:[55, 49, 78, 88], Operations: [] Exploring Operation: 55+49=104, Resulting Numbers: [78, 88, 104] Generated Node #2: [78, 88, 104] from Operation: 55+49=104 Current State: 94:[78, 88, 104], Operations: ['55+49=104'] Exploring Operation: 88-78=10, Resulting Numbers: [104, 10] Generated Node #3: [104, 10] from Operation: 88-78=10 Current State: 94:[104, 10], Operations: ['55+49=104', '88-78=10'] Exploring Operation: 104-10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 28, 8, 84 ]
53
[ "48+8=56", "84/28=3", "56-3=53" ]
Current State: 53:[48, 28, 8, 84], Operations: [] Exploring Operation: 48+8=56, Resulting Numbers: [28, 84, 56] Generated Node #2: [28, 84, 56] from Operation: 48+8=56 Current State: 53:[28, 84, 56], Operations: ['48+8=56'] Exploring Operation: 84/28=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 84/28=3 Current State: 53:[56, 3], Operations: ['48+8=56', '84/28=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 82, 18, 42 ]
78
[ "56+82=138", "18+42=60", "138-60=78" ]
Current State: 78:[56, 82, 18, 42], Operations: [] Exploring Operation: 56+82=138, Resulting Numbers: [18, 42, 138] Generated Node #2: [18, 42, 138] from Operation: 56+82=138 Current State: 78:[18, 42, 138], Operations: ['56+82=138'] Exploring Operation: 18+42=60, Resulting Numbers: [138, 60] Generated Node #3: [138, 60] from Operation: 18+42=60 Current State: 78:[138, 60], Operations: ['56+82=138', '18+42=60'] Exploring Operation: 138-60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 94, 22, 24, 17 ]
84
[ "94-17=77", "24*77=1848", "1848/22=84" ]
Current State: 84:[94, 22, 24, 17], Operations: [] Exploring Operation: 94-17=77, Resulting Numbers: [22, 24, 77] Generated Node #2: [22, 24, 77] from Operation: 94-17=77 Current State: 84:[22, 24, 77], Operations: ['94-17=77'] Exploring Operation: 24*77=1848, Resulting Numbers: [22, 1848] Generated Node #3: [22, 1848] from Operation: 24*77=1848 Current State: 84:[22, 1848], Operations: ['94-17=77', '24*77=1848'] Exploring Operation: 1848/22=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 68, 23, 80, 80 ]
90
[ "68+23=91", "80/80=1", "91-1=90" ]
Current State: 90:[68, 23, 80, 80], Operations: [] Exploring Operation: 68+23=91, Resulting Numbers: [80, 80, 91] Generated Node #2: [80, 80, 91] from Operation: 68+23=91 Current State: 90:[80, 80, 91], Operations: ['68+23=91'] Exploring Operation: 80/80=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 80/80=1 Current State: 90:[91, 1], Operations: ['68+23=91', '80/80=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 34, 32, 24, 65 ]
82
[ "34-32=2", "65-24=41", "2*41=82" ]
Current State: 82:[34, 32, 24, 65], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [24, 65, 2] Generated Node #2: [24, 65, 2] from Operation: 34-32=2 Current State: 82:[24, 65, 2], Operations: ['34-32=2'] Exploring Operation: 65-24=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 65-24=41 Current State: 82:[2, 41], Operations: ['34-32=2', '65-24=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 30, 54, 1 ]
53
[ "30/15=2", "54+1=55", "55-2=53" ]
Current State: 53:[15, 30, 54, 1], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [54, 1, 2] Generated Node #2: [54, 1, 2] from Operation: 30/15=2 Current State: 53:[54, 1, 2], Operations: ['30/15=2'] Exploring Operation: 54+1=55, Resulting Numbers: [2, 55] Generated Node #3: [2, 55] from Operation: 54+1=55 Current State: 53:[2, 55], Operations: ['30/15=2', '54+1=55'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 57, 97, 64, 65 ]
89
[ "97-57=40", "64+65=129", "129-40=89" ]
Current State: 89:[57, 97, 64, 65], Operations: [] Exploring Operation: 97-57=40, Resulting Numbers: [64, 65, 40] Generated Node #2: [64, 65, 40] from Operation: 97-57=40 Current State: 89:[64, 65, 40], Operations: ['97-57=40'] Exploring Operation: 64+65=129, Resulting Numbers: [40, 129] Generated Node #3: [40, 129] from Operation: 64+65=129 Current State: 89:[40, 129], Operations: ['97-57=40', '64+65=129'] Exploring Operation: 129-40=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 78, 52, 49, 65 ]
51
[ "78+52=130", "130/65=2", "49+2=51" ]
Current State: 51:[78, 52, 49, 65], Operations: [] Exploring Operation: 78+52=130, Resulting Numbers: [49, 65, 130] Generated Node #2: [49, 65, 130] from Operation: 78+52=130 Current State: 51:[49, 65, 130], Operations: ['78+52=130'] Exploring Operation: 130/65=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 130/65=2 Current State: 51:[49, 2], Operations: ['78+52=130', '130/65=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 77, 22, 39, 1 ]
17
[ "77-22=55", "39-1=38", "55-38=17" ]
Current State: 17:[77, 22, 39, 1], Operations: [] Exploring Operation: 77-22=55, Resulting Numbers: [39, 1, 55] Generated Node #2: [39, 1, 55] from Operation: 77-22=55 Current State: 17:[39, 1, 55], Operations: ['77-22=55'] Exploring Operation: 39-1=38, Resulting Numbers: [55, 38] Generated Node #3: [55, 38] from Operation: 39-1=38 Current State: 17:[55, 38], Operations: ['77-22=55', '39-1=38'] Exploring Operation: 55-38=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 65, 57, 73 ]
71
[ "65-57=8", "8/4=2", "73-2=71" ]
Current State: 71:[4, 65, 57, 73], Operations: [] Exploring Operation: 65-57=8, Resulting Numbers: [4, 73, 8] Generated Node #2: [4, 73, 8] from Operation: 65-57=8 Current State: 71:[4, 73, 8], Operations: ['65-57=8'] Exploring Operation: 8/4=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 8/4=2 Current State: 71:[73, 2], Operations: ['65-57=8', '8/4=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 77, 69, 73, 6 ]
75
[ "77-69=8", "73-6=67", "8+67=75" ]
Current State: 75:[77, 69, 73, 6], Operations: [] Exploring Operation: 77-69=8, Resulting Numbers: [73, 6, 8] Generated Node #2: [73, 6, 8] from Operation: 77-69=8 Current State: 75:[73, 6, 8], Operations: ['77-69=8'] Exploring Operation: 73-6=67, Resulting Numbers: [8, 67] Generated Node #3: [8, 67] from Operation: 73-6=67 Current State: 75:[8, 67], Operations: ['77-69=8', '73-6=67'] Exploring Operation: 8+67=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 88, 93, 23, 50 ]
65
[ "93-88=5", "23*5=115", "115-50=65" ]
Current State: 65:[88, 93, 23, 50], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [23, 50, 5] Generated Node #2: [23, 50, 5] from Operation: 93-88=5 Current State: 65:[23, 50, 5], Operations: ['93-88=5'] Exploring Operation: 23*5=115, Resulting Numbers: [50, 115] Generated Node #3: [50, 115] from Operation: 23*5=115 Current State: 65:[50, 115], Operations: ['93-88=5', '23*5=115'] Exploring Operation: 115-50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 63, 19, 29 ]
39
[ "63-54=9", "19+29=48", "48-9=39" ]
Current State: 39:[54, 63, 19, 29], Operations: [] Exploring Operation: 63-54=9, Resulting Numbers: [19, 29, 9] Generated Node #2: [19, 29, 9] from Operation: 63-54=9 Current State: 39:[19, 29, 9], Operations: ['63-54=9'] Exploring Operation: 19+29=48, Resulting Numbers: [9, 48] Generated Node #3: [9, 48] from Operation: 19+29=48 Current State: 39:[9, 48], Operations: ['63-54=9', '19+29=48'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 11, 30, 43 ]
36
[ "11+30=41", "43-41=2", "18*2=36" ]
Current State: 36:[18, 11, 30, 43], Operations: [] Exploring Operation: 11+30=41, Resulting Numbers: [18, 43, 41] Generated Node #2: [18, 43, 41] from Operation: 11+30=41 Current State: 36:[18, 43, 41], Operations: ['11+30=41'] Exploring Operation: 43-41=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 43-41=2 Current State: 36:[18, 2], Operations: ['11+30=41', '43-41=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 16, 43, 12, 10 ]
54
[ "43-16=27", "12-10=2", "27*2=54" ]
Current State: 54:[16, 43, 12, 10], Operations: [] Exploring Operation: 43-16=27, Resulting Numbers: [12, 10, 27] Generated Node #2: [12, 10, 27] from Operation: 43-16=27 Current State: 54:[12, 10, 27], Operations: ['43-16=27'] Exploring Operation: 12-10=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 12-10=2 Current State: 54:[27, 2], Operations: ['43-16=27', '12-10=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 51, 74, 92, 46 ]
97
[ "74*92=6808", "6808/46=148", "148-51=97" ]
Current State: 97:[51, 74, 92, 46], Operations: [] Exploring Operation: 74*92=6808, Resulting Numbers: [51, 46, 6808] Generated Node #2: [51, 46, 6808] from Operation: 74*92=6808 Current State: 97:[51, 46, 6808], Operations: ['74*92=6808'] Exploring Operation: 6808/46=148, Resulting Numbers: [51, 148] Generated Node #3: [51, 148] from Operation: 6808/46=148 Current State: 97:[51, 148], Operations: ['74*92=6808', '6808/46=148'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 47, 53, 82, 30 ]
48
[ "47+53=100", "82-30=52", "100-52=48" ]
Current State: 48:[47, 53, 82, 30], Operations: [] Exploring Operation: 47+53=100, Resulting Numbers: [82, 30, 100] Generated Node #2: [82, 30, 100] from Operation: 47+53=100 Current State: 48:[82, 30, 100], Operations: ['47+53=100'] Exploring Operation: 82-30=52, Resulting Numbers: [100, 52] Generated Node #3: [100, 52] from Operation: 82-30=52 Current State: 48:[100, 52], Operations: ['47+53=100', '82-30=52'] Exploring Operation: 100-52=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 12, 7, 47 ]
41
[ "78+47=125", "12*7=84", "125-84=41" ]
Current State: 41:[78, 12, 7, 47], Operations: [] Exploring Operation: 78+47=125, Resulting Numbers: [12, 7, 125] Generated Node #2: [12, 7, 125] from Operation: 78+47=125 Current State: 41:[12, 7, 125], Operations: ['78+47=125'] Exploring Operation: 12*7=84, Resulting Numbers: [125, 84] Generated Node #3: [125, 84] from Operation: 12*7=84 Current State: 41:[125, 84], Operations: ['78+47=125', '12*7=84'] Exploring Operation: 125-84=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 92, 38, 89 ]
88
[ "92-54=38", "38/38=1", "89-1=88" ]
Current State: 88:[54, 92, 38, 89], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [38, 89, 38] Generated Node #2: [38, 89, 38] from Operation: 92-54=38 Current State: 88:[38, 89, 38], Operations: ['92-54=38'] Exploring Operation: 38/38=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 38/38=1 Current State: 88:[89, 1], Operations: ['92-54=38', '38/38=1'] Exploring Operation: 89-1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 72, 45, 69, 64 ]
57
[ "72-69=3", "64-45=19", "3*19=57" ]
Current State: 57:[72, 45, 69, 64], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [45, 64, 3] Generated Node #2: [45, 64, 3] from Operation: 72-69=3 Current State: 57:[45, 64, 3], Operations: ['72-69=3'] Exploring Operation: 64-45=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 64-45=19 Current State: 57:[3, 19], Operations: ['72-69=3', '64-45=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 66, 26, 2, 2 ]
53
[ "66*2=132", "132-26=106", "106/2=53" ]
Current State: 53:[66, 26, 2, 2], Operations: [] Exploring Operation: 66*2=132, Resulting Numbers: [26, 132] Generated Node #2: [26, 132] from Operation: 66*2=132 Current State: 53:[26, 132], Operations: ['66*2=132'] Exploring Operation: 132-26=106, Resulting Numbers: [106] 106,53 equal: Goal Reached Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 99, 91, 11 ]
58
[ "99-91=8", "11*8=88", "88-30=58" ]
Current State: 58:[30, 99, 91, 11], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [30, 11, 8] Generated Node #2: [30, 11, 8] from Operation: 99-91=8 Current State: 58:[30, 11, 8], Operations: ['99-91=8'] Exploring Operation: 11*8=88, Resulting Numbers: [30, 88] Generated Node #3: [30, 88] from Operation: 11*8=88 Current State: 58:[30, 88], Operations: ['99-91=8', '11*8=88'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 54, 7, 39, 14 ]
72
[ "54-7=47", "39-14=25", "47+25=72" ]
Current State: 72:[54, 7, 39, 14], Operations: [] Exploring Operation: 54-7=47, Resulting Numbers: [39, 14, 47] Generated Node #2: [39, 14, 47] from Operation: 54-7=47 Current State: 72:[39, 14, 47], Operations: ['54-7=47'] Exploring Operation: 39-14=25, Resulting Numbers: [47, 25] Generated Node #3: [47, 25] from Operation: 39-14=25 Current State: 72:[47, 25], Operations: ['54-7=47', '39-14=25'] Exploring Operation: 47+25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 43, 85, 76 ]
96
[ "22+43=65", "85+76=161", "161-65=96" ]
Current State: 96:[22, 43, 85, 76], Operations: [] Exploring Operation: 22+43=65, Resulting Numbers: [85, 76, 65] Generated Node #2: [85, 76, 65] from Operation: 22+43=65 Current State: 96:[85, 76, 65], Operations: ['22+43=65'] Exploring Operation: 85+76=161, Resulting Numbers: [65, 161] Generated Node #3: [65, 161] from Operation: 85+76=161 Current State: 96:[65, 161], Operations: ['22+43=65', '85+76=161'] Exploring Operation: 161-65=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 53, 59, 40, 7 ]
56
[ "53+59=112", "112/7=16", "40+16=56" ]
Current State: 56:[53, 59, 40, 7], Operations: [] Exploring Operation: 53+59=112, Resulting Numbers: [40, 7, 112] Generated Node #2: [40, 7, 112] from Operation: 53+59=112 Current State: 56:[40, 7, 112], Operations: ['53+59=112'] Exploring Operation: 112/7=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 112/7=16 Current State: 56:[40, 16], Operations: ['53+59=112', '112/7=16'] Exploring Operation: 40+16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 6, 91, 99 ]
75
[ "95-91=4", "6*4=24", "99-24=75" ]
Current State: 75:[95, 6, 91, 99], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [6, 99, 4] Generated Node #2: [6, 99, 4] from Operation: 95-91=4 Current State: 75:[6, 99, 4], Operations: ['95-91=4'] Exploring Operation: 6*4=24, Resulting Numbers: [99, 24] Generated Node #3: [99, 24] from Operation: 6*4=24 Current State: 75:[99, 24], Operations: ['95-91=4', '6*4=24'] Exploring Operation: 99-24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 76, 71, 83, 10 ]
74
[ "76+71=147", "83-10=73", "147-73=74" ]
Current State: 74:[76, 71, 83, 10], Operations: [] Exploring Operation: 76+71=147, Resulting Numbers: [83, 10, 147] Generated Node #2: [83, 10, 147] from Operation: 76+71=147 Current State: 74:[83, 10, 147], Operations: ['76+71=147'] Exploring Operation: 83-10=73, Resulting Numbers: [147, 73] Generated Node #3: [147, 73] from Operation: 83-10=73 Current State: 74:[147, 73], Operations: ['76+71=147', '83-10=73'] Exploring Operation: 147-73=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 58, 85, 2, 99 ]
55
[ "58+85=143", "2*99=198", "198-143=55" ]
Current State: 55:[58, 85, 2, 99], Operations: [] Exploring Operation: 58+85=143, Resulting Numbers: [2, 99, 143] Generated Node #2: [2, 99, 143] from Operation: 58+85=143 Current State: 55:[2, 99, 143], Operations: ['58+85=143'] Exploring Operation: 2*99=198, Resulting Numbers: [143, 198] Generated Node #3: [143, 198] from Operation: 2*99=198 Current State: 55:[143, 198], Operations: ['58+85=143', '2*99=198'] Exploring Operation: 198-143=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 64, 21, 41 ]
20
[ "64-21=43", "43-41=2", "40/2=20" ]
Current State: 20:[40, 64, 21, 41], Operations: [] Exploring Operation: 64-21=43, Resulting Numbers: [40, 41, 43] Generated Node #2: [40, 41, 43] from Operation: 64-21=43 Current State: 20:[40, 41, 43], Operations: ['64-21=43'] Exploring Operation: 43-41=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 43-41=2 Current State: 20:[40, 2], Operations: ['64-21=43', '43-41=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 1, 29, 93 ]
52
[ "13-1=12", "93-29=64", "64-12=52" ]
Current State: 52:[13, 1, 29, 93], Operations: [] Exploring Operation: 13-1=12, Resulting Numbers: [29, 93, 12] Generated Node #2: [29, 93, 12] from Operation: 13-1=12 Current State: 52:[29, 93, 12], Operations: ['13-1=12'] Exploring Operation: 93-29=64, Resulting Numbers: [12, 64] Generated Node #3: [12, 64] from Operation: 93-29=64 Current State: 52:[12, 64], Operations: ['13-1=12', '93-29=64'] Exploring Operation: 64-12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 24, 4, 66 ]
84
[ "8/4=2", "66-24=42", "2*42=84" ]
Current State: 84:[8, 24, 4, 66], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [24, 66, 2] Generated Node #2: [24, 66, 2] from Operation: 8/4=2 Current State: 84:[24, 66, 2], Operations: ['8/4=2'] Exploring Operation: 66-24=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 66-24=42 Current State: 84:[2, 42], Operations: ['8/4=2', '66-24=42'] Exploring Operation: 2*42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 85, 5, 75, 88 ]
86
[ "85-75=10", "10/5=2", "88-2=86" ]
Current State: 86:[85, 5, 75, 88], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [5, 88, 10] Generated Node #2: [5, 88, 10] from Operation: 85-75=10 Current State: 86:[5, 88, 10], Operations: ['85-75=10'] Exploring Operation: 10/5=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 10/5=2 Current State: 86:[88, 2], Operations: ['85-75=10', '10/5=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 49, 82, 64, 19 ]
12
[ "82-49=33", "64-19=45", "45-33=12" ]
Current State: 12:[49, 82, 64, 19], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [64, 19, 33] Generated Node #2: [64, 19, 33] from Operation: 82-49=33 Current State: 12:[64, 19, 33], Operations: ['82-49=33'] Exploring Operation: 64-19=45, Resulting Numbers: [33, 45] Generated Node #3: [33, 45] from Operation: 64-19=45 Current State: 12:[33, 45], Operations: ['82-49=33', '64-19=45'] Exploring Operation: 45-33=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 24, 90, 3, 1 ]
82
[ "24/3=8", "90*1=90", "90-8=82" ]
Current State: 82:[24, 90, 3, 1], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [90, 1, 8] Generated Node #2: [90, 1, 8] from Operation: 24/3=8 Current State: 82:[90, 1, 8], Operations: ['24/3=8'] Exploring Operation: 90*1=90, Resulting Numbers: [8, 90] Generated Node #3: [8, 90] from Operation: 90*1=90 Current State: 82:[8, 90], Operations: ['24/3=8', '90*1=90'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 8, 95, 9 ]
54
[ "81+8=89", "95-89=6", "9*6=54" ]
Current State: 54:[81, 8, 95, 9], Operations: [] Exploring Operation: 81+8=89, Resulting Numbers: [95, 9, 89] Generated Node #2: [95, 9, 89] from Operation: 81+8=89 Current State: 54:[95, 9, 89], Operations: ['81+8=89'] Exploring Operation: 95-89=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 95-89=6 Current State: 54:[9, 6], Operations: ['81+8=89', '95-89=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 98, 83, 66, 14 ]
24
[ "98/14=7", "83-66=17", "7+17=24" ]
Current State: 24:[98, 83, 66, 14], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [83, 66, 7] Generated Node #2: [83, 66, 7] from Operation: 98/14=7 Current State: 24:[83, 66, 7], Operations: ['98/14=7'] Exploring Operation: 83-66=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 83-66=17 Current State: 24:[7, 17], Operations: ['98/14=7', '83-66=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 46, 13, 5, 27 ]
91
[ "46+13=59", "5+27=32", "59+32=91" ]
Current State: 91:[46, 13, 5, 27], Operations: [] Exploring Operation: 46+13=59, Resulting Numbers: [5, 27, 59] Generated Node #2: [5, 27, 59] from Operation: 46+13=59 Current State: 91:[5, 27, 59], Operations: ['46+13=59'] Exploring Operation: 5+27=32, Resulting Numbers: [59, 32] Generated Node #3: [59, 32] from Operation: 5+27=32 Current State: 91:[59, 32], Operations: ['46+13=59', '5+27=32'] Exploring Operation: 59+32=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 82, 77, 72, 38 ]
36
[ "82+72=154", "154/77=2", "38-2=36" ]
Current State: 36:[82, 77, 72, 38], Operations: [] Exploring Operation: 82+72=154, Resulting Numbers: [77, 38, 154] Generated Node #2: [77, 38, 154] from Operation: 82+72=154 Current State: 36:[77, 38, 154], Operations: ['82+72=154'] Exploring Operation: 154/77=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 154/77=2 Current State: 36:[38, 2], Operations: ['82+72=154', '154/77=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 2, 28, 29 ]
11
[ "6*2=12", "29-28=1", "12-1=11" ]
Current State: 11:[6, 2, 28, 29], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [28, 29, 12] Generated Node #2: [28, 29, 12] from Operation: 6*2=12 Current State: 11:[28, 29, 12], Operations: ['6*2=12'] Exploring Operation: 29-28=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 29-28=1 Current State: 11:[12, 1], Operations: ['6*2=12', '29-28=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 70, 12, 24, 26 ]
64
[ "26-24=2", "12/2=6", "70-6=64" ]
Current State: 64:[70, 12, 24, 26], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [70, 12, 2] Generated Node #2: [70, 12, 2] from Operation: 26-24=2 Current State: 64:[70, 12, 2], Operations: ['26-24=2'] Exploring Operation: 12/2=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 12/2=6 Current State: 64:[70, 6], Operations: ['26-24=2', '12/2=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 5, 89, 88, 26 ]
30
[ "89-5=84", "88+26=114", "114-84=30" ]
Current State: 30:[5, 89, 88, 26], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [88, 26, 84] Generated Node #2: [88, 26, 84] from Operation: 89-5=84 Current State: 30:[88, 26, 84], Operations: ['89-5=84'] Exploring Operation: 88+26=114, Resulting Numbers: [84, 114] Generated Node #3: [84, 114] from Operation: 88+26=114 Current State: 30:[84, 114], Operations: ['89-5=84', '88+26=114'] Exploring Operation: 114-84=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 59, 56, 2 ]
32
[ "70/2=35", "59-56=3", "35-3=32" ]
Current State: 32:[70, 59, 56, 2], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [59, 56, 35] Generated Node #2: [59, 56, 35] from Operation: 70/2=35 Current State: 32:[59, 56, 35], Operations: ['70/2=35'] Exploring Operation: 59-56=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 59-56=3 Current State: 32:[35, 3], Operations: ['70/2=35', '59-56=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 79, 26, 79 ]
51
[ "24+26=50", "79/79=1", "50+1=51" ]
Current State: 51:[24, 79, 26, 79], Operations: [] Exploring Operation: 24+26=50, Resulting Numbers: [79, 79, 50] Generated Node #2: [79, 79, 50] from Operation: 24+26=50 Current State: 51:[79, 79, 50], Operations: ['24+26=50'] Exploring Operation: 79/79=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 79/79=1 Current State: 51:[50, 1], Operations: ['24+26=50', '79/79=1'] Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 7, 96, 34 ]
99
[ "55-34=21", "21/7=3", "96+3=99" ]
Current State: 99:[55, 7, 96, 34], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [7, 96, 21] Generated Node #2: [7, 96, 21] from Operation: 55-34=21 Current State: 99:[7, 96, 21], Operations: ['55-34=21'] Exploring Operation: 21/7=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 21/7=3 Current State: 99:[96, 3], Operations: ['55-34=21', '21/7=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 79, 68, 21 ]
97
[ "79-71=8", "68+21=89", "8+89=97" ]
Current State: 97:[71, 79, 68, 21], Operations: [] Exploring Operation: 79-71=8, Resulting Numbers: [68, 21, 8] Generated Node #2: [68, 21, 8] from Operation: 79-71=8 Current State: 97:[68, 21, 8], Operations: ['79-71=8'] Exploring Operation: 68+21=89, Resulting Numbers: [8, 89] Generated Node #3: [8, 89] from Operation: 68+21=89 Current State: 97:[8, 89], Operations: ['79-71=8', '68+21=89'] Exploring Operation: 8+89=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 88, 22, 3, 82 ]
70
[ "88/22=4", "3*4=12", "82-12=70" ]
Current State: 70:[88, 22, 3, 82], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [3, 82, 4] Generated Node #2: [3, 82, 4] from Operation: 88/22=4 Current State: 70:[3, 82, 4], Operations: ['88/22=4'] Exploring Operation: 3*4=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 3*4=12 Current State: 70:[82, 12], Operations: ['88/22=4', '3*4=12'] Exploring Operation: 82-12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 66, 82, 54 ]
68
[ "66/33=2", "82+54=136", "136/2=68" ]
Current State: 68:[33, 66, 82, 54], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [82, 54, 2] Generated Node #2: [82, 54, 2] from Operation: 66/33=2 Current State: 68:[82, 54, 2], Operations: ['66/33=2'] Exploring Operation: 82+54=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 82+54=136 Current State: 68:[2, 136], Operations: ['66/33=2', '82+54=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 18, 9, 84 ]
96
[ "3+18=21", "84-9=75", "21+75=96" ]
Current State: 96:[3, 18, 9, 84], Operations: [] Exploring Operation: 3+18=21, Resulting Numbers: [9, 84, 21] Generated Node #2: [9, 84, 21] from Operation: 3+18=21 Current State: 96:[9, 84, 21], Operations: ['3+18=21'] Exploring Operation: 84-9=75, Resulting Numbers: [21, 75] Generated Node #3: [21, 75] from Operation: 84-9=75 Current State: 96:[21, 75], Operations: ['3+18=21', '84-9=75'] Exploring Operation: 21+75=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 82, 56, 12, 28 ]
14
[ "82-56=26", "12+28=40", "40-26=14" ]
Current State: 14:[82, 56, 12, 28], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [12, 28, 26] Generated Node #2: [12, 28, 26] from Operation: 82-56=26 Current State: 14:[12, 28, 26], Operations: ['82-56=26'] Exploring Operation: 12+28=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 12+28=40 Current State: 14:[26, 40], Operations: ['82-56=26', '12+28=40'] Exploring Operation: 40-26=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 60, 76, 70, 24 ]
42
[ "60+76=136", "70+24=94", "136-94=42" ]
Current State: 42:[60, 76, 70, 24], Operations: [] Exploring Operation: 60+76=136, Resulting Numbers: [70, 24, 136] Generated Node #2: [70, 24, 136] from Operation: 60+76=136 Current State: 42:[70, 24, 136], Operations: ['60+76=136'] Exploring Operation: 70+24=94, Resulting Numbers: [136, 94] Generated Node #3: [136, 94] from Operation: 70+24=94 Current State: 42:[136, 94], Operations: ['60+76=136', '70+24=94'] Exploring Operation: 136-94=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 95, 69, 55, 19 ]
19
[ "95/19=5", "69-55=14", "5+14=19" ]
Current State: 19:[95, 69, 55, 19], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [69, 55, 5] Generated Node #2: [69, 55, 5] from Operation: 95/19=5 Current State: 19:[69, 55, 5], Operations: ['95/19=5'] Exploring Operation: 69-55=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 69-55=14 Current State: 19:[5, 14], Operations: ['95/19=5', '69-55=14'] Exploring Operation: 5+14=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 66, 3, 28 ]
81
[ "87-28=59", "66/3=22", "59+22=81" ]
Current State: 81:[87, 66, 3, 28], Operations: [] Exploring Operation: 87-28=59, Resulting Numbers: [66, 3, 59] Generated Node #2: [66, 3, 59] from Operation: 87-28=59 Current State: 81:[66, 3, 59], Operations: ['87-28=59'] Exploring Operation: 66/3=22, Resulting Numbers: [59, 22] Generated Node #3: [59, 22] from Operation: 66/3=22 Current State: 81:[59, 22], Operations: ['87-28=59', '66/3=22'] Exploring Operation: 59+22=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 18, 32, 70, 8 ]
39
[ "18-8=10", "70/10=7", "32+7=39" ]
Current State: 39:[18, 32, 70, 8], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [32, 70, 10] Generated Node #2: [32, 70, 10] from Operation: 18-8=10 Current State: 39:[32, 70, 10], Operations: ['18-8=10'] Exploring Operation: 70/10=7, Resulting Numbers: [32, 7] Generated Node #3: [32, 7] from Operation: 70/10=7 Current State: 39:[32, 7], Operations: ['18-8=10', '70/10=7'] Exploring Operation: 32+7=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 65, 8, 42 ]
21
[ "65/5=13", "42-8=34", "34-13=21" ]
Current State: 21:[5, 65, 8, 42], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [8, 42, 13] Generated Node #2: [8, 42, 13] from Operation: 65/5=13 Current State: 21:[8, 42, 13], Operations: ['65/5=13'] Exploring Operation: 42-8=34, Resulting Numbers: [13, 34] Generated Node #3: [13, 34] from Operation: 42-8=34 Current State: 21:[13, 34], Operations: ['65/5=13', '42-8=34'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 84, 14, 3, 76 ]
10
[ "84-76=8", "3*8=24", "24-14=10" ]
Current State: 10:[84, 14, 3, 76], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [14, 3, 8] Generated Node #2: [14, 3, 8] from Operation: 84-76=8 Current State: 10:[14, 3, 8], Operations: ['84-76=8'] Exploring Operation: 3*8=24, Resulting Numbers: [14, 24] Generated Node #3: [14, 24] from Operation: 3*8=24 Current State: 10:[14, 24], Operations: ['84-76=8', '3*8=24'] Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 96, 34, 40, 51 ]
24
[ "96*34=3264", "3264/51=64", "64-40=24" ]
Current State: 24:[96, 34, 40, 51], Operations: [] Exploring Operation: 96*34=3264, Resulting Numbers: [40, 51, 3264] Generated Node #2: [40, 51, 3264] from Operation: 96*34=3264 Current State: 24:[40, 51, 3264], Operations: ['96*34=3264'] Exploring Operation: 3264/51=64, Resulting Numbers: [40, 64] Generated Node #3: [40, 64] from Operation: 3264/51=64 Current State: 24:[40, 64], Operations: ['96*34=3264', '3264/51=64'] Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 68, 92, 82 ]
93
[ "15+68=83", "92-82=10", "83+10=93" ]
Current State: 93:[15, 68, 92, 82], Operations: [] Exploring Operation: 15+68=83, Resulting Numbers: [92, 82, 83] Generated Node #2: [92, 82, 83] from Operation: 15+68=83 Current State: 93:[92, 82, 83], Operations: ['15+68=83'] Exploring Operation: 92-82=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 92-82=10 Current State: 93:[83, 10], Operations: ['15+68=83', '92-82=10'] Exploring Operation: 83+10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 17, 7, 59 ]
29
[ "15*7=105", "17+59=76", "105-76=29" ]
Current State: 29:[15, 17, 7, 59], Operations: [] Exploring Operation: 15*7=105, Resulting Numbers: [17, 59, 105] Generated Node #2: [17, 59, 105] from Operation: 15*7=105 Current State: 29:[17, 59, 105], Operations: ['15*7=105'] Exploring Operation: 17+59=76, Resulting Numbers: [105, 76] Generated Node #3: [105, 76] from Operation: 17+59=76 Current State: 29:[105, 76], Operations: ['15*7=105', '17+59=76'] Exploring Operation: 105-76=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 86, 9, 81, 27 ]
23
[ "86-9=77", "81-27=54", "77-54=23" ]
Current State: 23:[86, 9, 81, 27], Operations: [] Exploring Operation: 86-9=77, Resulting Numbers: [81, 27, 77] Generated Node #2: [81, 27, 77] from Operation: 86-9=77 Current State: 23:[81, 27, 77], Operations: ['86-9=77'] Exploring Operation: 81-27=54, Resulting Numbers: [77, 54] Generated Node #3: [77, 54] from Operation: 81-27=54 Current State: 23:[77, 54], Operations: ['86-9=77', '81-27=54'] Exploring Operation: 77-54=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 64, 9, 25, 63 ]
67
[ "25-9=16", "64/16=4", "63+4=67" ]
Current State: 67:[64, 9, 25, 63], Operations: [] Exploring Operation: 25-9=16, Resulting Numbers: [64, 63, 16] Generated Node #2: [64, 63, 16] from Operation: 25-9=16 Current State: 67:[64, 63, 16], Operations: ['25-9=16'] Exploring Operation: 64/16=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 64/16=4 Current State: 67:[63, 4], Operations: ['25-9=16', '64/16=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 73, 94, 3, 99 ]
40
[ "94-73=21", "99+21=120", "120/3=40" ]
Current State: 40:[73, 94, 3, 99], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [3, 99, 21] Generated Node #2: [3, 99, 21] from Operation: 94-73=21 Current State: 40:[3, 99, 21], Operations: ['94-73=21'] Exploring Operation: 99+21=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 99+21=120 Current State: 40:[3, 120], Operations: ['94-73=21', '99+21=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 69, 90, 70, 63 ]
55
[ "69-63=6", "90/6=15", "70-15=55" ]
Current State: 55:[69, 90, 70, 63], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [90, 70, 6] Generated Node #2: [90, 70, 6] from Operation: 69-63=6 Current State: 55:[90, 70, 6], Operations: ['69-63=6'] Exploring Operation: 90/6=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 90/6=15 Current State: 55:[70, 15], Operations: ['69-63=6', '90/6=15'] Exploring Operation: 70-15=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 93, 3, 33, 25 ]
98
[ "93-3=90", "33-25=8", "90+8=98" ]
Current State: 98:[93, 3, 33, 25], Operations: [] Exploring Operation: 93-3=90, Resulting Numbers: [33, 25, 90] Generated Node #2: [33, 25, 90] from Operation: 93-3=90 Current State: 98:[33, 25, 90], Operations: ['93-3=90'] Exploring Operation: 33-25=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 33-25=8 Current State: 98:[90, 8], Operations: ['93-3=90', '33-25=8'] Exploring Operation: 90+8=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 72, 98, 35, 16 ]
20
[ "72-16=56", "35*56=1960", "1960/98=20" ]
Current State: 20:[72, 98, 35, 16], Operations: [] Exploring Operation: 72-16=56, Resulting Numbers: [98, 35, 56] Generated Node #2: [98, 35, 56] from Operation: 72-16=56 Current State: 20:[98, 35, 56], Operations: ['72-16=56'] Exploring Operation: 35*56=1960, Resulting Numbers: [98, 1960] Generated Node #3: [98, 1960] from Operation: 35*56=1960 Current State: 20:[98, 1960], Operations: ['72-16=56', '35*56=1960'] Exploring Operation: 1960/98=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 15, 7, 82, 9 ]
81
[ "15-7=8", "82-9=73", "8+73=81" ]
Current State: 81:[15, 7, 82, 9], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [82, 9, 8] Generated Node #2: [82, 9, 8] from Operation: 15-7=8 Current State: 81:[82, 9, 8], Operations: ['15-7=8'] Exploring Operation: 82-9=73, Resulting Numbers: [8, 73] Generated Node #3: [8, 73] from Operation: 82-9=73 Current State: 81:[8, 73], Operations: ['15-7=8', '82-9=73'] Exploring Operation: 8+73=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 74, 33, 99 ]
49
[ "35-33=2", "74*2=148", "148-99=49" ]
Current State: 49:[35, 74, 33, 99], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [74, 99, 2] Generated Node #2: [74, 99, 2] from Operation: 35-33=2 Current State: 49:[74, 99, 2], Operations: ['35-33=2'] Exploring Operation: 74*2=148, Resulting Numbers: [99, 148] Generated Node #3: [99, 148] from Operation: 74*2=148 Current State: 49:[99, 148], Operations: ['35-33=2', '74*2=148'] Exploring Operation: 148-99=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 80, 13, 51, 12 ]
15
[ "80*12=960", "13+51=64", "960/64=15" ]
Current State: 15:[80, 13, 51, 12], Operations: [] Exploring Operation: 80*12=960, Resulting Numbers: [13, 51, 960] Generated Node #2: [13, 51, 960] from Operation: 80*12=960 Current State: 15:[13, 51, 960], Operations: ['80*12=960'] Exploring Operation: 13+51=64, Resulting Numbers: [960, 64] Generated Node #3: [960, 64] from Operation: 13+51=64 Current State: 15:[960, 64], Operations: ['80*12=960', '13+51=64'] Exploring Operation: 960/64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 93, 30, 70, 46 ]
32
[ "93-70=23", "46/23=2", "30+2=32" ]
Current State: 32:[93, 30, 70, 46], Operations: [] Exploring Operation: 93-70=23, Resulting Numbers: [30, 46, 23] Generated Node #2: [30, 46, 23] from Operation: 93-70=23 Current State: 32:[30, 46, 23], Operations: ['93-70=23'] Exploring Operation: 46/23=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 46/23=2 Current State: 32:[30, 2], Operations: ['93-70=23', '46/23=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 46, 38, 58 ]
50
[ "38*58=2204", "96+2204=2300", "2300/46=50" ]
Current State: 50:[96, 46, 38, 58], Operations: [] Exploring Operation: 38*58=2204, Resulting Numbers: [96, 46, 2204] Generated Node #2: [96, 46, 2204] from Operation: 38*58=2204 Current State: 50:[96, 46, 2204], Operations: ['38*58=2204'] Exploring Operation: 96+2204=2300, Resulting Numbers: [46, 2300] Generated Node #3: [46, 2300] from Operation: 96+2204=2300 Current State: 50:[46, 2300], Operations: ['38*58=2204', '96+2204=2300'] Exploring Operation: 2300/46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 24, 36, 36, 16 ]
19
[ "36-24=12", "36/12=3", "16+3=19" ]
Current State: 19:[24, 36, 36, 16], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [16, 12] Generated Node #2: [16, 12] from Operation: 36-24=12 Current State: 19:[16, 12], Operations: ['36-24=12'] Exploring Operation: 36/12=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 36/12=3 Current State: 19:[16, 3], Operations: ['36-24=12', '36/12=3'] Exploring Operation: 16+3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 3, 87, 12 ]
97
[ "6/3=2", "87+12=99", "99-2=97" ]
Current State: 97:[6, 3, 87, 12], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [87, 12, 2] Generated Node #2: [87, 12, 2] from Operation: 6/3=2 Current State: 97:[87, 12, 2], Operations: ['6/3=2'] Exploring Operation: 87+12=99, Resulting Numbers: [2, 99] Generated Node #3: [2, 99] from Operation: 87+12=99 Current State: 97:[2, 99], Operations: ['6/3=2', '87+12=99'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 47, 63, 46, 95 ]
33
[ "63-47=16", "95-46=49", "49-16=33" ]
Current State: 33:[47, 63, 46, 95], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [46, 95, 16] Generated Node #2: [46, 95, 16] from Operation: 63-47=16 Current State: 33:[46, 95, 16], Operations: ['63-47=16'] Exploring Operation: 95-46=49, Resulting Numbers: [16, 49] Generated Node #3: [16, 49] from Operation: 95-46=49 Current State: 33:[16, 49], Operations: ['63-47=16', '95-46=49'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 54, 46, 8, 73 ]
35
[ "54+46=100", "73-8=65", "100-65=35" ]
Current State: 35:[54, 46, 8, 73], Operations: [] Exploring Operation: 54+46=100, Resulting Numbers: [8, 73, 100] Generated Node #2: [8, 73, 100] from Operation: 54+46=100 Current State: 35:[8, 73, 100], Operations: ['54+46=100'] Exploring Operation: 73-8=65, Resulting Numbers: [100, 65] Generated Node #3: [100, 65] from Operation: 73-8=65 Current State: 35:[100, 65], Operations: ['54+46=100', '73-8=65'] Exploring Operation: 100-65=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 78, 20, 29 ]
16
[ "78-71=7", "29-20=9", "7+9=16" ]
Current State: 16:[71, 78, 20, 29], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [20, 29, 7] Generated Node #2: [20, 29, 7] from Operation: 78-71=7 Current State: 16:[20, 29, 7], Operations: ['78-71=7'] Exploring Operation: 29-20=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 29-20=9 Current State: 16:[7, 9], Operations: ['78-71=7', '29-20=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 34, 73, 87, 46 ]
80
[ "73-34=39", "87-46=41", "39+41=80" ]
Current State: 80:[34, 73, 87, 46], Operations: [] Exploring Operation: 73-34=39, Resulting Numbers: [87, 46, 39] Generated Node #2: [87, 46, 39] from Operation: 73-34=39 Current State: 80:[87, 46, 39], Operations: ['73-34=39'] Exploring Operation: 87-46=41, Resulting Numbers: [39, 41] Generated Node #3: [39, 41] from Operation: 87-46=41 Current State: 80:[39, 41], Operations: ['73-34=39', '87-46=41'] Exploring Operation: 39+41=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 19, 29, 45 ]
52
[ "4*29=116", "19+45=64", "116-64=52" ]
Current State: 52:[4, 19, 29, 45], Operations: [] Exploring Operation: 4*29=116, Resulting Numbers: [19, 45, 116] Generated Node #2: [19, 45, 116] from Operation: 4*29=116 Current State: 52:[19, 45, 116], Operations: ['4*29=116'] Exploring Operation: 19+45=64, Resulting Numbers: [116, 64] Generated Node #3: [116, 64] from Operation: 19+45=64 Current State: 52:[116, 64], Operations: ['4*29=116', '19+45=64'] Exploring Operation: 116-64=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 55, 13, 16, 8 ]
34
[ "55+13=68", "16/8=2", "68/2=34" ]
Current State: 34:[55, 13, 16, 8], Operations: [] Exploring Operation: 55+13=68, Resulting Numbers: [16, 8, 68] Generated Node #2: [16, 8, 68] from Operation: 55+13=68 Current State: 34:[16, 8, 68], Operations: ['55+13=68'] Exploring Operation: 16/8=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 16/8=2 Current State: 34:[68, 2], Operations: ['55+13=68', '16/8=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 98, 59, 80 ]
40
[ "98-59=39", "78/39=2", "80/2=40" ]
Current State: 40:[78, 98, 59, 80], Operations: [] Exploring Operation: 98-59=39, Resulting Numbers: [78, 80, 39] Generated Node #2: [78, 80, 39] from Operation: 98-59=39 Current State: 40:[78, 80, 39], Operations: ['98-59=39'] Exploring Operation: 78/39=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 78/39=2 Current State: 40:[80, 2], Operations: ['98-59=39', '78/39=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 19, 75, 84 ]
31
[ "75-68=7", "84/7=12", "19+12=31" ]
Current State: 31:[68, 19, 75, 84], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [19, 84, 7] Generated Node #2: [19, 84, 7] from Operation: 75-68=7 Current State: 31:[19, 84, 7], Operations: ['75-68=7'] Exploring Operation: 84/7=12, Resulting Numbers: [19, 12] Generated Node #3: [19, 12] from Operation: 84/7=12 Current State: 31:[19, 12], Operations: ['75-68=7', '84/7=12'] Exploring Operation: 19+12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 26, 14, 38 ]
44
[ "34-26=8", "14+38=52", "52-8=44" ]
Current State: 44:[34, 26, 14, 38], Operations: [] Exploring Operation: 34-26=8, Resulting Numbers: [14, 38, 8] Generated Node #2: [14, 38, 8] from Operation: 34-26=8 Current State: 44:[14, 38, 8], Operations: ['34-26=8'] Exploring Operation: 14+38=52, Resulting Numbers: [8, 52] Generated Node #3: [8, 52] from Operation: 14+38=52 Current State: 44:[8, 52], Operations: ['34-26=8', '14+38=52'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 80, 66, 91, 51 ]
54
[ "80-66=14", "91-51=40", "14+40=54" ]
Current State: 54:[80, 66, 91, 51], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [91, 51, 14] Generated Node #2: [91, 51, 14] from Operation: 80-66=14 Current State: 54:[91, 51, 14], Operations: ['80-66=14'] Exploring Operation: 91-51=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 91-51=40 Current State: 54:[14, 40], Operations: ['80-66=14', '91-51=40'] Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 92, 20, 13 ]
17
[ "92-42=50", "20+13=33", "50-33=17" ]
Current State: 17:[42, 92, 20, 13], Operations: [] Exploring Operation: 92-42=50, Resulting Numbers: [20, 13, 50] Generated Node #2: [20, 13, 50] from Operation: 92-42=50 Current State: 17:[20, 13, 50], Operations: ['92-42=50'] Exploring Operation: 20+13=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 20+13=33 Current State: 17:[50, 33], Operations: ['92-42=50', '20+13=33'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 70, 81, 25, 86 ]
40
[ "70+81=151", "25+86=111", "151-111=40" ]
Current State: 40:[70, 81, 25, 86], Operations: [] Exploring Operation: 70+81=151, Resulting Numbers: [25, 86, 151] Generated Node #2: [25, 86, 151] from Operation: 70+81=151 Current State: 40:[25, 86, 151], Operations: ['70+81=151'] Exploring Operation: 25+86=111, Resulting Numbers: [151, 111] Generated Node #3: [151, 111] from Operation: 25+86=111 Current State: 40:[151, 111], Operations: ['70+81=151', '25+86=111'] Exploring Operation: 151-111=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 43, 48, 77 ]
48
[ "43-43=0", "77*0=0", "48+0=48" ]
Current State: 48:[43, 43, 48, 77], Operations: [] Exploring Operation: 43-43=0, Resulting Numbers: [48, 77, 0] Generated Node #2: [48, 77, 0] from Operation: 43-43=0 Current State: 48:[48, 77, 0], Operations: ['43-43=0'] Exploring Operation: 77*0=0, Resulting Numbers: [48, 0] Generated Node #3: [48, 0] from Operation: 77*0=0 Current State: 48:[48, 0], Operations: ['43-43=0', '77*0=0'] Exploring Operation: 48+0=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 23, 70, 29 ]
98
[ "23/23=1", "70+29=99", "99-1=98" ]
Current State: 98:[23, 23, 70, 29], Operations: [] Exploring Operation: 23/23=1, Resulting Numbers: [70, 29, 1] Generated Node #2: [70, 29, 1] from Operation: 23/23=1 Current State: 98:[70, 29, 1], Operations: ['23/23=1'] Exploring Operation: 70+29=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 70+29=99 Current State: 98:[1, 99], Operations: ['23/23=1', '70+29=99'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 7, 41, 81, 68 ]
50
[ "81-68=13", "7*13=91", "91-41=50" ]
Current State: 50:[7, 41, 81, 68], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [7, 41, 13] Generated Node #2: [7, 41, 13] from Operation: 81-68=13 Current State: 50:[7, 41, 13], Operations: ['81-68=13'] Exploring Operation: 7*13=91, Resulting Numbers: [41, 91] Generated Node #3: [41, 91] from Operation: 7*13=91 Current State: 50:[41, 91], Operations: ['81-68=13', '7*13=91'] Exploring Operation: 91-41=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 7, 46, 9 ]
61
[ "48-46=2", "7*9=63", "63-2=61" ]
Current State: 61:[48, 7, 46, 9], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [7, 9, 2] Generated Node #2: [7, 9, 2] from Operation: 48-46=2 Current State: 61:[7, 9, 2], Operations: ['48-46=2'] Exploring Operation: 7*9=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 7*9=63 Current State: 61:[2, 63], Operations: ['48-46=2', '7*9=63'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 65, 3, 89 ]
39
[ "45/3=15", "89-65=24", "15+24=39" ]
Current State: 39:[45, 65, 3, 89], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [65, 89, 15] Generated Node #2: [65, 89, 15] from Operation: 45/3=15 Current State: 39:[65, 89, 15], Operations: ['45/3=15'] Exploring Operation: 89-65=24, Resulting Numbers: [15, 24] Generated Node #3: [15, 24] from Operation: 89-65=24 Current State: 39:[15, 24], Operations: ['45/3=15', '89-65=24'] Exploring Operation: 15+24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 79, 91, 20, 11 ]
21
[ "91-79=12", "20-11=9", "12+9=21" ]
Current State: 21:[79, 91, 20, 11], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [20, 11, 12] Generated Node #2: [20, 11, 12] from Operation: 91-79=12 Current State: 21:[20, 11, 12], Operations: ['91-79=12'] Exploring Operation: 20-11=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 20-11=9 Current State: 21:[12, 9], Operations: ['91-79=12', '20-11=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 65, 69, 27 ]
54
[ "69-65=4", "27*4=108", "108-54=54" ]
Current State: 54:[54, 65, 69, 27], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [54, 27, 4] Generated Node #2: [54, 27, 4] from Operation: 69-65=4 Current State: 54:[54, 27, 4], Operations: ['69-65=4'] Exploring Operation: 27*4=108, Resulting Numbers: [54, 108] Generated Node #3: [54, 108] from Operation: 27*4=108 Current State: 54:[54, 108], Operations: ['69-65=4', '27*4=108'] Exploring Operation: 108-54=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4