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
[ 93, 5, 79, 68 ]
38
[ "79-68=11", "5*11=55", "93-55=38" ]
Current State: 38:[93, 5, 79, 68], Operations: [] Exploring Operation: 79-68=11, Resulting Numbers: [93, 5, 11] Generated Node #2: [93, 5, 11] from Operation: 79-68=11 Current State: 38:[93, 5, 11], Operations: ['79-68=11'] Exploring Operation: 5*11=55, Resulting Numbers: [93, 55] Generated Node #3: [93, 55] from Operation: 5*11=55 Current State: 38:[93, 55], Operations: ['79-68=11', '5*11=55'] Exploring Operation: 93-55=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 63, 11, 48 ]
56
[ "5*11=55", "63+48=111", "111-55=56" ]
Current State: 56:[5, 63, 11, 48], Operations: [] Exploring Operation: 5*11=55, Resulting Numbers: [63, 48, 55] Generated Node #2: [63, 48, 55] from Operation: 5*11=55 Current State: 56:[63, 48, 55], Operations: ['5*11=55'] Exploring Operation: 63+48=111, Resulting Numbers: [55, 111] Generated Node #3: [55, 111] from Operation: 63+48=111 Current State: 56:[55, 111], Operations: ['5*11=55', '63+48=111'] Exploring Operation: 111-55=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 15, 43, 83 ]
67
[ "53-43=10", "15*10=150", "150-83=67" ]
Current State: 67:[53, 15, 43, 83], Operations: [] Exploring Operation: 53-43=10, Resulting Numbers: [15, 83, 10] Generated Node #2: [15, 83, 10] from Operation: 53-43=10 Current State: 67:[15, 83, 10], Operations: ['53-43=10'] Exploring Operation: 15*10=150, Resulting Numbers: [83, 150] Generated Node #3: [83, 150] from Operation: 15*10=150 Current State: 67:[83, 150], Operations: ['53-43=10', '15*10=150'] Exploring Operation: 150-83=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 1, 79, 31 ]
82
[ "31-1=30", "30/10=3", "79+3=82" ]
Current State: 82:[10, 1, 79, 31], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [10, 79, 30] Generated Node #2: [10, 79, 30] from Operation: 31-1=30 Current State: 82:[10, 79, 30], Operations: ['31-1=30'] Exploring Operation: 30/10=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 30/10=3 Current State: 82:[79, 3], Operations: ['31-1=30', '30/10=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 78, 23, 92 ]
98
[ "36-23=13", "78/13=6", "92+6=98" ]
Current State: 98:[36, 78, 23, 92], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [78, 92, 13] Generated Node #2: [78, 92, 13] from Operation: 36-23=13 Current State: 98:[78, 92, 13], Operations: ['36-23=13'] Exploring Operation: 78/13=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 78/13=6 Current State: 98:[92, 6], Operations: ['36-23=13', '78/13=6'] Exploring Operation: 92+6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 68, 50, 26, 64 ]
56
[ "68-50=18", "64-26=38", "18+38=56" ]
Current State: 56:[68, 50, 26, 64], Operations: [] Exploring Operation: 68-50=18, Resulting Numbers: [26, 64, 18] Generated Node #2: [26, 64, 18] from Operation: 68-50=18 Current State: 56:[26, 64, 18], Operations: ['68-50=18'] Exploring Operation: 64-26=38, Resulting Numbers: [18, 38] Generated Node #3: [18, 38] from Operation: 64-26=38 Current State: 56:[18, 38], Operations: ['68-50=18', '64-26=38'] Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 10, 77, 72, 36 ]
69
[ "77-10=67", "72/36=2", "67+2=69" ]
Current State: 69:[10, 77, 72, 36], Operations: [] Exploring Operation: 77-10=67, Resulting Numbers: [72, 36, 67] Generated Node #2: [72, 36, 67] from Operation: 77-10=67 Current State: 69:[72, 36, 67], Operations: ['77-10=67'] Exploring Operation: 72/36=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 72/36=2 Current State: 69:[67, 2], Operations: ['77-10=67', '72/36=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 15, 7, 77, 73 ]
43
[ "77-73=4", "7*4=28", "15+28=43" ]
Current State: 43:[15, 7, 77, 73], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [15, 7, 4] Generated Node #2: [15, 7, 4] from Operation: 77-73=4 Current State: 43:[15, 7, 4], Operations: ['77-73=4'] Exploring Operation: 7*4=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 7*4=28 Current State: 43:[15, 28], Operations: ['77-73=4', '7*4=28'] Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 98, 3, 58 ]
78
[ "35+98=133", "58-3=55", "133-55=78" ]
Current State: 78:[35, 98, 3, 58], Operations: [] Exploring Operation: 35+98=133, Resulting Numbers: [3, 58, 133] Generated Node #2: [3, 58, 133] from Operation: 35+98=133 Current State: 78:[3, 58, 133], Operations: ['35+98=133'] Exploring Operation: 58-3=55, Resulting Numbers: [133, 55] Generated Node #3: [133, 55] from Operation: 58-3=55 Current State: 78:[133, 55], Operations: ['35+98=133', '58-3=55'] Exploring Operation: 133-55=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 94, 58, 1, 39 ]
76
[ "94-58=36", "1+39=40", "36+40=76" ]
Current State: 76:[94, 58, 1, 39], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [1, 39, 36] Generated Node #2: [1, 39, 36] from Operation: 94-58=36 Current State: 76:[1, 39, 36], Operations: ['94-58=36'] Exploring Operation: 1+39=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 1+39=40 Current State: 76:[36, 40], Operations: ['94-58=36', '1+39=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 13, 75, 79, 63 ]
25
[ "79-13=66", "66-63=3", "75/3=25" ]
Current State: 25:[13, 75, 79, 63], Operations: [] Exploring Operation: 79-13=66, Resulting Numbers: [75, 63, 66] Generated Node #2: [75, 63, 66] from Operation: 79-13=66 Current State: 25:[75, 63, 66], Operations: ['79-13=66'] Exploring Operation: 66-63=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 66-63=3 Current State: 25:[75, 3], Operations: ['79-13=66', '66-63=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 77, 66, 29 ]
26
[ "77-8=69", "66+29=95", "95-69=26" ]
Current State: 26:[8, 77, 66, 29], Operations: [] Exploring Operation: 77-8=69, Resulting Numbers: [66, 29, 69] Generated Node #2: [66, 29, 69] from Operation: 77-8=69 Current State: 26:[66, 29, 69], Operations: ['77-8=69'] Exploring Operation: 66+29=95, Resulting Numbers: [69, 95] Generated Node #3: [69, 95] from Operation: 66+29=95 Current State: 26:[69, 95], Operations: ['77-8=69', '66+29=95'] Exploring Operation: 95-69=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 94, 52, 95, 13 ]
40
[ "94-52=42", "95-13=82", "82-42=40" ]
Current State: 40:[94, 52, 95, 13], Operations: [] Exploring Operation: 94-52=42, Resulting Numbers: [95, 13, 42] Generated Node #2: [95, 13, 42] from Operation: 94-52=42 Current State: 40:[95, 13, 42], Operations: ['94-52=42'] Exploring Operation: 95-13=82, Resulting Numbers: [42, 82] Generated Node #3: [42, 82] from Operation: 95-13=82 Current State: 40:[42, 82], Operations: ['94-52=42', '95-13=82'] Exploring Operation: 82-42=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 64, 43, 4, 81 ]
98
[ "64-43=21", "81-4=77", "21+77=98" ]
Current State: 98:[64, 43, 4, 81], Operations: [] Exploring Operation: 64-43=21, Resulting Numbers: [4, 81, 21] Generated Node #2: [4, 81, 21] from Operation: 64-43=21 Current State: 98:[4, 81, 21], Operations: ['64-43=21'] Exploring Operation: 81-4=77, Resulting Numbers: [21, 77] Generated Node #3: [21, 77] from Operation: 81-4=77 Current State: 98:[21, 77], Operations: ['64-43=21', '81-4=77'] Exploring Operation: 21+77=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 29, 76, 24, 9 ]
32
[ "76-29=47", "24-9=15", "47-15=32" ]
Current State: 32:[29, 76, 24, 9], Operations: [] Exploring Operation: 76-29=47, Resulting Numbers: [24, 9, 47] Generated Node #2: [24, 9, 47] from Operation: 76-29=47 Current State: 32:[24, 9, 47], Operations: ['76-29=47'] Exploring Operation: 24-9=15, Resulting Numbers: [47, 15] Generated Node #3: [47, 15] from Operation: 24-9=15 Current State: 32:[47, 15], Operations: ['76-29=47', '24-9=15'] Exploring Operation: 47-15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 20, 31, 14, 82 ]
79
[ "31-20=11", "82-14=68", "11+68=79" ]
Current State: 79:[20, 31, 14, 82], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [14, 82, 11] Generated Node #2: [14, 82, 11] from Operation: 31-20=11 Current State: 79:[14, 82, 11], Operations: ['31-20=11'] Exploring Operation: 82-14=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 82-14=68 Current State: 79:[11, 68], Operations: ['31-20=11', '82-14=68'] Exploring Operation: 11+68=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 54, 95, 12 ]
21
[ "50+54=104", "95-12=83", "104-83=21" ]
Current State: 21:[50, 54, 95, 12], Operations: [] Exploring Operation: 50+54=104, Resulting Numbers: [95, 12, 104] Generated Node #2: [95, 12, 104] from Operation: 50+54=104 Current State: 21:[95, 12, 104], Operations: ['50+54=104'] Exploring Operation: 95-12=83, Resulting Numbers: [104, 83] Generated Node #3: [104, 83] from Operation: 95-12=83 Current State: 21:[104, 83], Operations: ['50+54=104', '95-12=83'] Exploring Operation: 104-83=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 84, 94, 77 ]
83
[ "84-77=7", "77/7=11", "94-11=83" ]
Current State: 83:[77, 84, 94, 77], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [94, 7] Generated Node #2: [94, 7] from Operation: 84-77=7 Current State: 83:[94, 7], Operations: ['84-77=7'] Exploring Operation: 77/7=11, Resulting Numbers: [94, 11] Generated Node #3: [94, 11] from Operation: 77/7=11 Current State: 83:[94, 11], Operations: ['84-77=7', '77/7=11'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 5, 23, 45 ]
10
[ "60/5=12", "45-23=22", "22-12=10" ]
Current State: 10:[60, 5, 23, 45], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [23, 45, 12] Generated Node #2: [23, 45, 12] from Operation: 60/5=12 Current State: 10:[23, 45, 12], Operations: ['60/5=12'] Exploring Operation: 45-23=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 45-23=22 Current State: 10:[12, 22], Operations: ['60/5=12', '45-23=22'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 65, 6, 14 ]
76
[ "6/2=3", "65+14=79", "79-3=76" ]
Current State: 76:[2, 65, 6, 14], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [65, 14, 3] Generated Node #2: [65, 14, 3] from Operation: 6/2=3 Current State: 76:[65, 14, 3], Operations: ['6/2=3'] Exploring Operation: 65+14=79, Resulting Numbers: [3, 79] Generated Node #3: [3, 79] from Operation: 65+14=79 Current State: 76:[3, 79], Operations: ['6/2=3', '65+14=79'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 8, 32, 47, 83 ]
32
[ "32/8=4", "83-47=36", "36-4=32" ]
Current State: 32:[8, 32, 47, 83], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [47, 83, 4] Generated Node #2: [47, 83, 4] from Operation: 32/8=4 Current State: 32:[47, 83, 4], Operations: ['32/8=4'] Exploring Operation: 83-47=36, Resulting Numbers: [4, 36] Generated Node #3: [4, 36] from Operation: 83-47=36 Current State: 32:[4, 36], Operations: ['32/8=4', '83-47=36'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 95, 7, 57, 78 ]
47
[ "95-7=88", "57+78=135", "135-88=47" ]
Current State: 47:[95, 7, 57, 78], Operations: [] Exploring Operation: 95-7=88, Resulting Numbers: [57, 78, 88] Generated Node #2: [57, 78, 88] from Operation: 95-7=88 Current State: 47:[57, 78, 88], Operations: ['95-7=88'] Exploring Operation: 57+78=135, Resulting Numbers: [88, 135] Generated Node #3: [88, 135] from Operation: 57+78=135 Current State: 47:[88, 135], Operations: ['95-7=88', '57+78=135'] Exploring Operation: 135-88=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 59, 38, 42 ]
49
[ "59-38=21", "42/21=2", "51-2=49" ]
Current State: 49:[51, 59, 38, 42], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [51, 42, 21] Generated Node #2: [51, 42, 21] from Operation: 59-38=21 Current State: 49:[51, 42, 21], Operations: ['59-38=21'] Exploring Operation: 42/21=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 42/21=2 Current State: 49:[51, 2], Operations: ['59-38=21', '42/21=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 30, 37, 39 ]
31
[ "15+30=45", "37+39=76", "76-45=31" ]
Current State: 31:[15, 30, 37, 39], Operations: [] Exploring Operation: 15+30=45, Resulting Numbers: [37, 39, 45] Generated Node #2: [37, 39, 45] from Operation: 15+30=45 Current State: 31:[37, 39, 45], Operations: ['15+30=45'] Exploring Operation: 37+39=76, Resulting Numbers: [45, 76] Generated Node #3: [45, 76] from Operation: 37+39=76 Current State: 31:[45, 76], Operations: ['15+30=45', '37+39=76'] Exploring Operation: 76-45=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 20, 96, 52 ]
11
[ "13+20=33", "96-52=44", "44-33=11" ]
Current State: 11:[13, 20, 96, 52], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [96, 52, 33] Generated Node #2: [96, 52, 33] from Operation: 13+20=33 Current State: 11:[96, 52, 33], Operations: ['13+20=33'] Exploring Operation: 96-52=44, Resulting Numbers: [33, 44] Generated Node #3: [33, 44] from Operation: 96-52=44 Current State: 11:[33, 44], Operations: ['13+20=33', '96-52=44'] Exploring Operation: 44-33=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 20, 42, 5, 19 ]
34
[ "20/5=4", "19*4=76", "76-42=34" ]
Current State: 34:[20, 42, 5, 19], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [42, 19, 4] Generated Node #2: [42, 19, 4] from Operation: 20/5=4 Current State: 34:[42, 19, 4], Operations: ['20/5=4'] Exploring Operation: 19*4=76, Resulting Numbers: [42, 76] Generated Node #3: [42, 76] from Operation: 19*4=76 Current State: 34:[42, 76], Operations: ['20/5=4', '19*4=76'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 26, 32, 58, 92 ]
93
[ "26+32=58", "58/58=1", "92+1=93" ]
Current State: 93:[26, 32, 58, 92], Operations: [] Exploring Operation: 26+32=58, Resulting Numbers: [58, 92, 58] Generated Node #2: [58, 92, 58] from Operation: 26+32=58 Current State: 93:[58, 92, 58], Operations: ['26+32=58'] Exploring Operation: 58/58=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 58/58=1 Current State: 93:[92, 1], Operations: ['26+32=58', '58/58=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 18, 61, 26 ]
70
[ "18-16=2", "61-26=35", "2*35=70" ]
Current State: 70:[16, 18, 61, 26], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [61, 26, 2] Generated Node #2: [61, 26, 2] from Operation: 18-16=2 Current State: 70:[61, 26, 2], Operations: ['18-16=2'] Exploring Operation: 61-26=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 61-26=35 Current State: 70:[2, 35], Operations: ['18-16=2', '61-26=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 92, 96, 6, 6 ]
18
[ "96-92=4", "6*4=24", "24-6=18" ]
Current State: 18:[92, 96, 6, 6], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [6, 6, 4] Generated Node #2: [6, 6, 4] from Operation: 96-92=4 Current State: 18:[6, 6, 4], Operations: ['96-92=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,18 equal: Goal Reached Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 23, 59, 64, 47 ]
99
[ "23+59=82", "64-47=17", "82+17=99" ]
Current State: 99:[23, 59, 64, 47], Operations: [] Exploring Operation: 23+59=82, Resulting Numbers: [64, 47, 82] Generated Node #2: [64, 47, 82] from Operation: 23+59=82 Current State: 99:[64, 47, 82], Operations: ['23+59=82'] Exploring Operation: 64-47=17, Resulting Numbers: [82, 17] Generated Node #3: [82, 17] from Operation: 64-47=17 Current State: 99:[82, 17], Operations: ['23+59=82', '64-47=17'] Exploring Operation: 82+17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 72, 32, 84, 69 ]
49
[ "72+32=104", "84+69=153", "153-104=49" ]
Current State: 49:[72, 32, 84, 69], Operations: [] Exploring Operation: 72+32=104, Resulting Numbers: [84, 69, 104] Generated Node #2: [84, 69, 104] from Operation: 72+32=104 Current State: 49:[84, 69, 104], Operations: ['72+32=104'] Exploring Operation: 84+69=153, Resulting Numbers: [104, 153] Generated Node #3: [104, 153] from Operation: 84+69=153 Current State: 49:[104, 153], Operations: ['72+32=104', '84+69=153'] Exploring Operation: 153-104=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 90, 88, 99 ]
39
[ "90-88=2", "30*2=60", "99-60=39" ]
Current State: 39:[30, 90, 88, 99], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [30, 99, 2] Generated Node #2: [30, 99, 2] from Operation: 90-88=2 Current State: 39:[30, 99, 2], Operations: ['90-88=2'] Exploring Operation: 30*2=60, Resulting Numbers: [99, 60] Generated Node #3: [99, 60] from Operation: 30*2=60 Current State: 39:[99, 60], Operations: ['90-88=2', '30*2=60'] Exploring Operation: 99-60=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 43, 28, 59, 38 ]
82
[ "43-28=15", "59+38=97", "97-15=82" ]
Current State: 82:[43, 28, 59, 38], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [59, 38, 15] Generated Node #2: [59, 38, 15] from Operation: 43-28=15 Current State: 82:[59, 38, 15], Operations: ['43-28=15'] Exploring Operation: 59+38=97, Resulting Numbers: [15, 97] Generated Node #3: [15, 97] from Operation: 59+38=97 Current State: 82:[15, 97], Operations: ['43-28=15', '59+38=97'] Exploring Operation: 97-15=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 28, 65, 8 ]
67
[ "28+8=36", "72/36=2", "65+2=67" ]
Current State: 67:[72, 28, 65, 8], Operations: [] Exploring Operation: 28+8=36, Resulting Numbers: [72, 65, 36] Generated Node #2: [72, 65, 36] from Operation: 28+8=36 Current State: 67:[72, 65, 36], Operations: ['28+8=36'] Exploring Operation: 72/36=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 72/36=2 Current State: 67:[65, 2], Operations: ['28+8=36', '72/36=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 70, 94, 81, 1 ]
82
[ "70+94=164", "81+1=82", "164-82=82" ]
Current State: 82:[70, 94, 81, 1], Operations: [] Exploring Operation: 70+94=164, Resulting Numbers: [81, 1, 164] Generated Node #2: [81, 1, 164] from Operation: 70+94=164 Current State: 82:[81, 1, 164], Operations: ['70+94=164'] Exploring Operation: 81+1=82, Resulting Numbers: [164, 82] Generated Node #3: [164, 82] from Operation: 81+1=82 Current State: 82:[164, 82], Operations: ['70+94=164', '81+1=82'] Exploring Operation: 164-82=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 61, 51, 66, 60 ]
16
[ "61-51=10", "66-60=6", "10+6=16" ]
Current State: 16:[61, 51, 66, 60], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [66, 60, 10] Generated Node #2: [66, 60, 10] from Operation: 61-51=10 Current State: 16:[66, 60, 10], Operations: ['61-51=10'] Exploring Operation: 66-60=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 66-60=6 Current State: 16:[10, 6], Operations: ['61-51=10', '66-60=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 9, 11, 4, 36 ]
10
[ "9*4=36", "36/36=1", "11-1=10" ]
Current State: 10:[9, 11, 4, 36], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [11, 36, 36] Generated Node #2: [11, 36, 36] from Operation: 9*4=36 Current State: 10:[11, 36, 36], Operations: ['9*4=36'] Exploring Operation: 36/36=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 36/36=1 Current State: 10:[11, 1], Operations: ['9*4=36', '36/36=1'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 15, 54, 46, 17 ]
24
[ "54-15=39", "46+17=63", "63-39=24" ]
Current State: 24:[15, 54, 46, 17], Operations: [] Exploring Operation: 54-15=39, Resulting Numbers: [46, 17, 39] Generated Node #2: [46, 17, 39] from Operation: 54-15=39 Current State: 24:[46, 17, 39], Operations: ['54-15=39'] Exploring Operation: 46+17=63, Resulting Numbers: [39, 63] Generated Node #3: [39, 63] from Operation: 46+17=63 Current State: 24:[39, 63], Operations: ['54-15=39', '46+17=63'] Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 39, 32, 68 ]
52
[ "83-32=51", "39*68=2652", "2652/51=52" ]
Current State: 52:[83, 39, 32, 68], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [39, 68, 51] Generated Node #2: [39, 68, 51] from Operation: 83-32=51 Current State: 52:[39, 68, 51], Operations: ['83-32=51'] Exploring Operation: 39*68=2652, Resulting Numbers: [51, 2652] Generated Node #3: [51, 2652] from Operation: 39*68=2652 Current State: 52:[51, 2652], Operations: ['83-32=51', '39*68=2652'] Exploring Operation: 2652/51=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 39, 14, 2, 73 ]
18
[ "39+14=53", "73-2=71", "71-53=18" ]
Current State: 18:[39, 14, 2, 73], Operations: [] Exploring Operation: 39+14=53, Resulting Numbers: [2, 73, 53] Generated Node #2: [2, 73, 53] from Operation: 39+14=53 Current State: 18:[2, 73, 53], Operations: ['39+14=53'] Exploring Operation: 73-2=71, Resulting Numbers: [53, 71] Generated Node #3: [53, 71] from Operation: 73-2=71 Current State: 18:[53, 71], Operations: ['39+14=53', '73-2=71'] Exploring Operation: 71-53=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 85, 29, 56 ]
82
[ "56-29=27", "27/9=3", "85-3=82" ]
Current State: 82:[9, 85, 29, 56], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [9, 85, 27] Generated Node #2: [9, 85, 27] from Operation: 56-29=27 Current State: 82:[9, 85, 27], Operations: ['56-29=27'] Exploring Operation: 27/9=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 27/9=3 Current State: 82:[85, 3], Operations: ['56-29=27', '27/9=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 39, 20, 41 ]
51
[ "41-39=2", "20*2=40", "11+40=51" ]
Current State: 51:[11, 39, 20, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [11, 20, 2] Generated Node #2: [11, 20, 2] from Operation: 41-39=2 Current State: 51:[11, 20, 2], Operations: ['41-39=2'] Exploring Operation: 20*2=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 20*2=40 Current State: 51:[11, 40], Operations: ['41-39=2', '20*2=40'] Exploring Operation: 11+40=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 66, 89, 19, 67 ]
25
[ "89-66=23", "67-19=48", "48-23=25" ]
Current State: 25:[66, 89, 19, 67], Operations: [] Exploring Operation: 89-66=23, Resulting Numbers: [19, 67, 23] Generated Node #2: [19, 67, 23] from Operation: 89-66=23 Current State: 25:[19, 67, 23], Operations: ['89-66=23'] Exploring Operation: 67-19=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 67-19=48 Current State: 25:[23, 48], Operations: ['89-66=23', '67-19=48'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 32, 40, 88 ]
48
[ "64+32=96", "88-40=48", "96-48=48" ]
Current State: 48:[64, 32, 40, 88], Operations: [] Exploring Operation: 64+32=96, Resulting Numbers: [40, 88, 96] Generated Node #2: [40, 88, 96] from Operation: 64+32=96 Current State: 48:[40, 88, 96], Operations: ['64+32=96'] Exploring Operation: 88-40=48, Resulting Numbers: [96, 48] Generated Node #3: [96, 48] from Operation: 88-40=48 Current State: 48:[96, 48], Operations: ['64+32=96', '88-40=48'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 9, 33, 3 ]
54
[ "33/11=3", "3+3=6", "9*6=54" ]
Current State: 54:[11, 9, 33, 3], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [9, 3, 3] Generated Node #2: [9, 3, 3] from Operation: 33/11=3 Current State: 54:[9, 3, 3], Operations: ['33/11=3'] Exploring Operation: 3+3=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 3+3=6 Current State: 54:[9, 6], Operations: ['33/11=3', '3+3=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 93, 91, 76 ]
60
[ "44+76=120", "93-91=2", "120/2=60" ]
Current State: 60:[44, 93, 91, 76], Operations: [] Exploring Operation: 44+76=120, Resulting Numbers: [93, 91, 120] Generated Node #2: [93, 91, 120] from Operation: 44+76=120 Current State: 60:[93, 91, 120], Operations: ['44+76=120'] Exploring Operation: 93-91=2, Resulting Numbers: [120, 2] Generated Node #3: [120, 2] from Operation: 93-91=2 Current State: 60:[120, 2], Operations: ['44+76=120', '93-91=2'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 51, 44, 93 ]
47
[ "51+93=144", "144/48=3", "44+3=47" ]
Current State: 47:[48, 51, 44, 93], Operations: [] Exploring Operation: 51+93=144, Resulting Numbers: [48, 44, 144] Generated Node #2: [48, 44, 144] from Operation: 51+93=144 Current State: 47:[48, 44, 144], Operations: ['51+93=144'] Exploring Operation: 144/48=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 144/48=3 Current State: 47:[44, 3], Operations: ['51+93=144', '144/48=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 64, 46, 29, 35 ]
24
[ "64-46=18", "35-29=6", "18+6=24" ]
Current State: 24:[64, 46, 29, 35], Operations: [] Exploring Operation: 64-46=18, Resulting Numbers: [29, 35, 18] Generated Node #2: [29, 35, 18] from Operation: 64-46=18 Current State: 24:[29, 35, 18], Operations: ['64-46=18'] Exploring Operation: 35-29=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 35-29=6 Current State: 24:[18, 6], Operations: ['64-46=18', '35-29=6'] Exploring Operation: 18+6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 37, 68, 41, 89 ]
25
[ "37+68=105", "41+89=130", "130-105=25" ]
Current State: 25:[37, 68, 41, 89], Operations: [] Exploring Operation: 37+68=105, Resulting Numbers: [41, 89, 105] Generated Node #2: [41, 89, 105] from Operation: 37+68=105 Current State: 25:[41, 89, 105], Operations: ['37+68=105'] Exploring Operation: 41+89=130, Resulting Numbers: [105, 130] Generated Node #3: [105, 130] from Operation: 41+89=130 Current State: 25:[105, 130], Operations: ['37+68=105', '41+89=130'] Exploring Operation: 130-105=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 23, 24, 18, 30 ]
20
[ "24+30=54", "54/18=3", "23-3=20" ]
Current State: 20:[23, 24, 18, 30], Operations: [] Exploring Operation: 24+30=54, Resulting Numbers: [23, 18, 54] Generated Node #2: [23, 18, 54] from Operation: 24+30=54 Current State: 20:[23, 18, 54], Operations: ['24+30=54'] Exploring Operation: 54/18=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 54/18=3 Current State: 20:[23, 3], Operations: ['24+30=54', '54/18=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 32, 1, 80 ]
62
[ "32-13=19", "1+80=81", "81-19=62" ]
Current State: 62:[13, 32, 1, 80], Operations: [] Exploring Operation: 32-13=19, Resulting Numbers: [1, 80, 19] Generated Node #2: [1, 80, 19] from Operation: 32-13=19 Current State: 62:[1, 80, 19], Operations: ['32-13=19'] Exploring Operation: 1+80=81, Resulting Numbers: [19, 81] Generated Node #3: [19, 81] from Operation: 1+80=81 Current State: 62:[19, 81], Operations: ['32-13=19', '1+80=81'] Exploring Operation: 81-19=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 79, 47, 56 ]
82
[ "79-6=73", "56-47=9", "73+9=82" ]
Current State: 82:[6, 79, 47, 56], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [47, 56, 73] Generated Node #2: [47, 56, 73] from Operation: 79-6=73 Current State: 82:[47, 56, 73], Operations: ['79-6=73'] Exploring Operation: 56-47=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 56-47=9 Current State: 82:[73, 9], Operations: ['79-6=73', '56-47=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 83, 88, 28, 7 ]
16
[ "88-83=5", "28-7=21", "21-5=16" ]
Current State: 16:[83, 88, 28, 7], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [28, 7, 5] Generated Node #2: [28, 7, 5] from Operation: 88-83=5 Current State: 16:[28, 7, 5], Operations: ['88-83=5'] Exploring Operation: 28-7=21, Resulting Numbers: [5, 21] Generated Node #3: [5, 21] from Operation: 28-7=21 Current State: 16:[5, 21], Operations: ['88-83=5', '28-7=21'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 79, 18, 43 ]
54
[ "79-72=7", "18+43=61", "61-7=54" ]
Current State: 54:[72, 79, 18, 43], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [18, 43, 7] Generated Node #2: [18, 43, 7] from Operation: 79-72=7 Current State: 54:[18, 43, 7], Operations: ['79-72=7'] Exploring Operation: 18+43=61, Resulting Numbers: [7, 61] Generated Node #3: [7, 61] from Operation: 18+43=61 Current State: 54:[7, 61], Operations: ['79-72=7', '18+43=61'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 45, 2, 31 ]
80
[ "45+31=76", "2*76=152", "152-72=80" ]
Current State: 80:[72, 45, 2, 31], Operations: [] Exploring Operation: 45+31=76, Resulting Numbers: [72, 2, 76] Generated Node #2: [72, 2, 76] from Operation: 45+31=76 Current State: 80:[72, 2, 76], Operations: ['45+31=76'] Exploring Operation: 2*76=152, Resulting Numbers: [72, 152] Generated Node #3: [72, 152] from Operation: 2*76=152 Current State: 80:[72, 152], Operations: ['45+31=76', '2*76=152'] Exploring Operation: 152-72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 84, 21, 12 ]
95
[ "81+21=102", "84/12=7", "102-7=95" ]
Current State: 95:[81, 84, 21, 12], Operations: [] Exploring Operation: 81+21=102, Resulting Numbers: [84, 12, 102] Generated Node #2: [84, 12, 102] from Operation: 81+21=102 Current State: 95:[84, 12, 102], Operations: ['81+21=102'] Exploring Operation: 84/12=7, Resulting Numbers: [102, 7] Generated Node #3: [102, 7] from Operation: 84/12=7 Current State: 95:[102, 7], Operations: ['81+21=102', '84/12=7'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 80, 36, 60 ]
22
[ "80-34=46", "60-36=24", "46-24=22" ]
Current State: 22:[34, 80, 36, 60], Operations: [] Exploring Operation: 80-34=46, Resulting Numbers: [36, 60, 46] Generated Node #2: [36, 60, 46] from Operation: 80-34=46 Current State: 22:[36, 60, 46], Operations: ['80-34=46'] Exploring Operation: 60-36=24, Resulting Numbers: [46, 24] Generated Node #3: [46, 24] from Operation: 60-36=24 Current State: 22:[46, 24], Operations: ['80-34=46', '60-36=24'] Exploring Operation: 46-24=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 81, 36, 31, 34 ]
89
[ "36-31=5", "34*5=170", "170-81=89" ]
Current State: 89:[81, 36, 31, 34], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [81, 34, 5] Generated Node #2: [81, 34, 5] from Operation: 36-31=5 Current State: 89:[81, 34, 5], Operations: ['36-31=5'] Exploring Operation: 34*5=170, Resulting Numbers: [81, 170] Generated Node #3: [81, 170] from Operation: 34*5=170 Current State: 89:[81, 170], Operations: ['36-31=5', '34*5=170'] Exploring Operation: 170-81=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 37, 7, 32, 5 ]
53
[ "7-5=2", "32/2=16", "37+16=53" ]
Current State: 53:[37, 7, 32, 5], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [37, 32, 2] Generated Node #2: [37, 32, 2] from Operation: 7-5=2 Current State: 53:[37, 32, 2], Operations: ['7-5=2'] Exploring Operation: 32/2=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 32/2=16 Current State: 53:[37, 16], Operations: ['7-5=2', '32/2=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 75, 5, 50, 6 ]
95
[ "75+50=125", "5*6=30", "125-30=95" ]
Current State: 95:[75, 5, 50, 6], Operations: [] Exploring Operation: 75+50=125, Resulting Numbers: [5, 6, 125] Generated Node #2: [5, 6, 125] from Operation: 75+50=125 Current State: 95:[5, 6, 125], Operations: ['75+50=125'] Exploring Operation: 5*6=30, Resulting Numbers: [125, 30] Generated Node #3: [125, 30] from Operation: 5*6=30 Current State: 95:[125, 30], Operations: ['75+50=125', '5*6=30'] Exploring Operation: 125-30=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 82, 4, 77, 80 ]
80
[ "82-4=78", "78-77=1", "80*1=80" ]
Current State: 80:[82, 4, 77, 80], Operations: [] Exploring Operation: 82-4=78, Resulting Numbers: [77, 80, 78] Generated Node #2: [77, 80, 78] from Operation: 82-4=78 Current State: 80:[77, 80, 78], Operations: ['82-4=78'] Exploring Operation: 78-77=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 78-77=1 Current State: 80:[80, 1], Operations: ['82-4=78', '78-77=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 71, 80, 88 ]
64
[ "88-80=8", "56/8=7", "71-7=64" ]
Current State: 64:[56, 71, 80, 88], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [56, 71, 8] Generated Node #2: [56, 71, 8] from Operation: 88-80=8 Current State: 64:[56, 71, 8], Operations: ['88-80=8'] Exploring Operation: 56/8=7, Resulting Numbers: [71, 7] Generated Node #3: [71, 7] from Operation: 56/8=7 Current State: 64:[71, 7], Operations: ['88-80=8', '56/8=7'] Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 99, 80, 82 ]
84
[ "99-82=17", "68/17=4", "80+4=84" ]
Current State: 84:[68, 99, 80, 82], Operations: [] Exploring Operation: 99-82=17, Resulting Numbers: [68, 80, 17] Generated Node #2: [68, 80, 17] from Operation: 99-82=17 Current State: 84:[68, 80, 17], Operations: ['99-82=17'] Exploring Operation: 68/17=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 68/17=4 Current State: 84:[80, 4], Operations: ['99-82=17', '68/17=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 67, 4, 1, 41 ]
23
[ "67-4=63", "41-1=40", "63-40=23" ]
Current State: 23:[67, 4, 1, 41], Operations: [] Exploring Operation: 67-4=63, Resulting Numbers: [1, 41, 63] Generated Node #2: [1, 41, 63] from Operation: 67-4=63 Current State: 23:[1, 41, 63], Operations: ['67-4=63'] Exploring Operation: 41-1=40, Resulting Numbers: [63, 40] Generated Node #3: [63, 40] from Operation: 41-1=40 Current State: 23:[63, 40], Operations: ['67-4=63', '41-1=40'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 36, 94, 94, 32 ]
32
[ "94-94=0", "36*0=0", "32+0=32" ]
Current State: 32:[36, 94, 94, 32], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [36, 32, 0] Generated Node #2: [36, 32, 0] from Operation: 94-94=0 Current State: 32:[36, 32, 0], Operations: ['94-94=0'] Exploring Operation: 36*0=0, Resulting Numbers: [32, 0] Generated Node #3: [32, 0] from Operation: 36*0=0 Current State: 32:[32, 0], Operations: ['94-94=0', '36*0=0'] Exploring Operation: 32+0=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 69, 45, 93, 15 ]
17
[ "45+93=138", "138/69=2", "15+2=17" ]
Current State: 17:[69, 45, 93, 15], Operations: [] Exploring Operation: 45+93=138, Resulting Numbers: [69, 15, 138] Generated Node #2: [69, 15, 138] from Operation: 45+93=138 Current State: 17:[69, 15, 138], Operations: ['45+93=138'] Exploring Operation: 138/69=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 138/69=2 Current State: 17:[15, 2], Operations: ['45+93=138', '138/69=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 39, 28, 38 ]
98
[ "71-39=32", "28+38=66", "32+66=98" ]
Current State: 98:[71, 39, 28, 38], Operations: [] Exploring Operation: 71-39=32, Resulting Numbers: [28, 38, 32] Generated Node #2: [28, 38, 32] from Operation: 71-39=32 Current State: 98:[28, 38, 32], Operations: ['71-39=32'] Exploring Operation: 28+38=66, Resulting Numbers: [32, 66] Generated Node #3: [32, 66] from Operation: 28+38=66 Current State: 98:[32, 66], Operations: ['71-39=32', '28+38=66'] Exploring Operation: 32+66=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 60, 60, 59, 11 ]
48
[ "60-60=0", "59-11=48", "0+48=48" ]
Current State: 48:[60, 60, 59, 11], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [59, 11, 0] Generated Node #2: [59, 11, 0] from Operation: 60-60=0 Current State: 48:[59, 11, 0], Operations: ['60-60=0'] Exploring Operation: 59-11=48, Resulting Numbers: [0, 48] Generated Node #3: [0, 48] from Operation: 59-11=48 Current State: 48:[0, 48], Operations: ['60-60=0', '59-11=48'] Exploring Operation: 0+48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 86, 29, 66 ]
86
[ "38+29=67", "67-66=1", "86*1=86" ]
Current State: 86:[38, 86, 29, 66], Operations: [] Exploring Operation: 38+29=67, Resulting Numbers: [86, 66, 67] Generated Node #2: [86, 66, 67] from Operation: 38+29=67 Current State: 86:[86, 66, 67], Operations: ['38+29=67'] Exploring Operation: 67-66=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 67-66=1 Current State: 86:[86, 1], Operations: ['38+29=67', '67-66=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 29, 21, 21 ]
14
[ "44-29=15", "21/21=1", "15-1=14" ]
Current State: 14:[44, 29, 21, 21], Operations: [] Exploring Operation: 44-29=15, Resulting Numbers: [21, 21, 15] Generated Node #2: [21, 21, 15] from Operation: 44-29=15 Current State: 14:[21, 21, 15], Operations: ['44-29=15'] Exploring Operation: 21/21=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 21/21=1 Current State: 14:[15, 1], Operations: ['44-29=15', '21/21=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 23, 52, 83 ]
67
[ "75+23=98", "83-52=31", "98-31=67" ]
Current State: 67:[75, 23, 52, 83], Operations: [] Exploring Operation: 75+23=98, Resulting Numbers: [52, 83, 98] Generated Node #2: [52, 83, 98] from Operation: 75+23=98 Current State: 67:[52, 83, 98], Operations: ['75+23=98'] Exploring Operation: 83-52=31, Resulting Numbers: [98, 31] Generated Node #3: [98, 31] from Operation: 83-52=31 Current State: 67:[98, 31], Operations: ['75+23=98', '83-52=31'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 62, 31, 50 ]
17
[ "36+62=98", "31+50=81", "98-81=17" ]
Current State: 17:[36, 62, 31, 50], Operations: [] Exploring Operation: 36+62=98, Resulting Numbers: [31, 50, 98] Generated Node #2: [31, 50, 98] from Operation: 36+62=98 Current State: 17:[31, 50, 98], Operations: ['36+62=98'] Exploring Operation: 31+50=81, Resulting Numbers: [98, 81] Generated Node #3: [98, 81] from Operation: 31+50=81 Current State: 17:[98, 81], Operations: ['36+62=98', '31+50=81'] Exploring Operation: 98-81=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 48, 79, 18, 1 ]
48
[ "79-48=31", "18-1=17", "31+17=48" ]
Current State: 48:[48, 79, 18, 1], Operations: [] Exploring Operation: 79-48=31, Resulting Numbers: [18, 1, 31] Generated Node #2: [18, 1, 31] from Operation: 79-48=31 Current State: 48:[18, 1, 31], Operations: ['79-48=31'] Exploring Operation: 18-1=17, Resulting Numbers: [31, 17] Generated Node #3: [31, 17] from Operation: 18-1=17 Current State: 48:[31, 17], Operations: ['79-48=31', '18-1=17'] Exploring Operation: 31+17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 62, 90, 57, 71 ]
59
[ "90-71=19", "57/19=3", "62-3=59" ]
Current State: 59:[62, 90, 57, 71], Operations: [] Exploring Operation: 90-71=19, Resulting Numbers: [62, 57, 19] Generated Node #2: [62, 57, 19] from Operation: 90-71=19 Current State: 59:[62, 57, 19], Operations: ['90-71=19'] Exploring Operation: 57/19=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 57/19=3 Current State: 59:[62, 3], Operations: ['90-71=19', '57/19=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 24, 58, 17 ]
62
[ "23-17=6", "24/6=4", "58+4=62" ]
Current State: 62:[23, 24, 58, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [24, 58, 6] Generated Node #2: [24, 58, 6] from Operation: 23-17=6 Current State: 62:[24, 58, 6], Operations: ['23-17=6'] Exploring Operation: 24/6=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 24/6=4 Current State: 62:[58, 4], Operations: ['23-17=6', '24/6=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 84, 29, 4, 31 ]
28
[ "84-29=55", "31-4=27", "55-27=28" ]
Current State: 28:[84, 29, 4, 31], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [4, 31, 55] Generated Node #2: [4, 31, 55] from Operation: 84-29=55 Current State: 28:[4, 31, 55], Operations: ['84-29=55'] Exploring Operation: 31-4=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 31-4=27 Current State: 28:[55, 27], Operations: ['84-29=55', '31-4=27'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 77, 34, 68 ]
94
[ "77-17=60", "68-34=34", "60+34=94" ]
Current State: 94:[17, 77, 34, 68], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [34, 68, 60] Generated Node #2: [34, 68, 60] from Operation: 77-17=60 Current State: 94:[34, 68, 60], Operations: ['77-17=60'] Exploring Operation: 68-34=34, Resulting Numbers: [60, 34] Generated Node #3: [60, 34] from Operation: 68-34=34 Current State: 94:[60, 34], Operations: ['77-17=60', '68-34=34'] Exploring Operation: 60+34=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 67, 72, 63 ]
73
[ "15+67=82", "72-63=9", "82-9=73" ]
Current State: 73:[15, 67, 72, 63], Operations: [] Exploring Operation: 15+67=82, Resulting Numbers: [72, 63, 82] Generated Node #2: [72, 63, 82] from Operation: 15+67=82 Current State: 73:[72, 63, 82], Operations: ['15+67=82'] Exploring Operation: 72-63=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 72-63=9 Current State: 73:[82, 9], Operations: ['15+67=82', '72-63=9'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 12, 19, 76 ]
19
[ "28*19=532", "532/76=7", "12+7=19" ]
Current State: 19:[28, 12, 19, 76], Operations: [] Exploring Operation: 28*19=532, Resulting Numbers: [12, 76, 532] Generated Node #2: [12, 76, 532] from Operation: 28*19=532 Current State: 19:[12, 76, 532], Operations: ['28*19=532'] Exploring Operation: 532/76=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 532/76=7 Current State: 19:[12, 7], Operations: ['28*19=532', '532/76=7'] Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 25, 19, 8, 37 ]
32
[ "19+37=56", "56/8=7", "25+7=32" ]
Current State: 32:[25, 19, 8, 37], Operations: [] Exploring Operation: 19+37=56, Resulting Numbers: [25, 8, 56] Generated Node #2: [25, 8, 56] from Operation: 19+37=56 Current State: 32:[25, 8, 56], Operations: ['19+37=56'] Exploring Operation: 56/8=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 56/8=7 Current State: 32:[25, 7], Operations: ['19+37=56', '56/8=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 55, 57, 73 ]
55
[ "17+57=74", "74-73=1", "55*1=55" ]
Current State: 55:[17, 55, 57, 73], Operations: [] Exploring Operation: 17+57=74, Resulting Numbers: [55, 73, 74] Generated Node #2: [55, 73, 74] from Operation: 17+57=74 Current State: 55:[55, 73, 74], Operations: ['17+57=74'] Exploring Operation: 74-73=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 74-73=1 Current State: 55:[55, 1], Operations: ['17+57=74', '74-73=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 2, 16, 96 ]
30
[ "94-16=78", "96/2=48", "78-48=30" ]
Current State: 30:[94, 2, 16, 96], Operations: [] Exploring Operation: 94-16=78, Resulting Numbers: [2, 96, 78] Generated Node #2: [2, 96, 78] from Operation: 94-16=78 Current State: 30:[2, 96, 78], Operations: ['94-16=78'] Exploring Operation: 96/2=48, Resulting Numbers: [78, 48] Generated Node #3: [78, 48] from Operation: 96/2=48 Current State: 30:[78, 48], Operations: ['94-16=78', '96/2=48'] Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 81, 38, 76 ]
64
[ "81-31=50", "38+76=114", "114-50=64" ]
Current State: 64:[31, 81, 38, 76], Operations: [] Exploring Operation: 81-31=50, Resulting Numbers: [38, 76, 50] Generated Node #2: [38, 76, 50] from Operation: 81-31=50 Current State: 64:[38, 76, 50], Operations: ['81-31=50'] Exploring Operation: 38+76=114, Resulting Numbers: [50, 114] Generated Node #3: [50, 114] from Operation: 38+76=114 Current State: 64:[50, 114], Operations: ['81-31=50', '38+76=114'] Exploring Operation: 114-50=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 28, 9, 67 ]
85
[ "56/28=2", "9*2=18", "67+18=85" ]
Current State: 85:[56, 28, 9, 67], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [9, 67, 2] Generated Node #2: [9, 67, 2] from Operation: 56/28=2 Current State: 85:[9, 67, 2], Operations: ['56/28=2'] Exploring Operation: 9*2=18, Resulting Numbers: [67, 18] Generated Node #3: [67, 18] from Operation: 9*2=18 Current State: 85:[67, 18], Operations: ['56/28=2', '9*2=18'] Exploring Operation: 67+18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 15, 4, 9, 69 ]
71
[ "15-4=11", "69-9=60", "11+60=71" ]
Current State: 71:[15, 4, 9, 69], Operations: [] Exploring Operation: 15-4=11, Resulting Numbers: [9, 69, 11] Generated Node #2: [9, 69, 11] from Operation: 15-4=11 Current State: 71:[9, 69, 11], Operations: ['15-4=11'] Exploring Operation: 69-9=60, Resulting Numbers: [11, 60] Generated Node #3: [11, 60] from Operation: 69-9=60 Current State: 71:[11, 60], Operations: ['15-4=11', '69-9=60'] Exploring Operation: 11+60=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 21, 51, 26 ]
40
[ "51-21=30", "30-26=4", "10*4=40" ]
Current State: 40:[10, 21, 51, 26], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [10, 26, 30] Generated Node #2: [10, 26, 30] from Operation: 51-21=30 Current State: 40:[10, 26, 30], Operations: ['51-21=30'] Exploring Operation: 30-26=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 30-26=4 Current State: 40:[10, 4], Operations: ['51-21=30', '30-26=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 86, 17, 88, 28 ]
47
[ "86-17=69", "88+28=116", "116-69=47" ]
Current State: 47:[86, 17, 88, 28], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [88, 28, 69] Generated Node #2: [88, 28, 69] from Operation: 86-17=69 Current State: 47:[88, 28, 69], Operations: ['86-17=69'] Exploring Operation: 88+28=116, Resulting Numbers: [69, 116] Generated Node #3: [69, 116] from Operation: 88+28=116 Current State: 47:[69, 116], Operations: ['86-17=69', '88+28=116'] Exploring Operation: 116-69=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 22, 16, 98 ]
24
[ "46+98=144", "22-16=6", "144/6=24" ]
Current State: 24:[46, 22, 16, 98], Operations: [] Exploring Operation: 46+98=144, Resulting Numbers: [22, 16, 144] Generated Node #2: [22, 16, 144] from Operation: 46+98=144 Current State: 24:[22, 16, 144], Operations: ['46+98=144'] Exploring Operation: 22-16=6, Resulting Numbers: [144, 6] Generated Node #3: [144, 6] from Operation: 22-16=6 Current State: 24:[144, 6], Operations: ['46+98=144', '22-16=6'] Exploring Operation: 144/6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 12, 2, 94, 29 ]
41
[ "12*2=24", "94-29=65", "65-24=41" ]
Current State: 41:[12, 2, 94, 29], Operations: [] Exploring Operation: 12*2=24, Resulting Numbers: [94, 29, 24] Generated Node #2: [94, 29, 24] from Operation: 12*2=24 Current State: 41:[94, 29, 24], Operations: ['12*2=24'] Exploring Operation: 94-29=65, Resulting Numbers: [24, 65] Generated Node #3: [24, 65] from Operation: 94-29=65 Current State: 41:[24, 65], Operations: ['12*2=24', '94-29=65'] Exploring Operation: 65-24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 17, 46, 31, 55 ]
39
[ "17+46=63", "55-31=24", "63-24=39" ]
Current State: 39:[17, 46, 31, 55], Operations: [] Exploring Operation: 17+46=63, Resulting Numbers: [31, 55, 63] Generated Node #2: [31, 55, 63] from Operation: 17+46=63 Current State: 39:[31, 55, 63], Operations: ['17+46=63'] Exploring Operation: 55-31=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 55-31=24 Current State: 39:[63, 24], Operations: ['17+46=63', '55-31=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 65, 58, 5, 15 ]
74
[ "65+15=80", "80/5=16", "58+16=74" ]
Current State: 74:[65, 58, 5, 15], Operations: [] Exploring Operation: 65+15=80, Resulting Numbers: [58, 5, 80] Generated Node #2: [58, 5, 80] from Operation: 65+15=80 Current State: 74:[58, 5, 80], Operations: ['65+15=80'] Exploring Operation: 80/5=16, Resulting Numbers: [58, 16] Generated Node #3: [58, 16] from Operation: 80/5=16 Current State: 74:[58, 16], Operations: ['65+15=80', '80/5=16'] Exploring Operation: 58+16=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 17, 28, 66, 36 ]
70
[ "36-28=8", "17*8=136", "136-66=70" ]
Current State: 70:[17, 28, 66, 36], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [17, 66, 8] Generated Node #2: [17, 66, 8] from Operation: 36-28=8 Current State: 70:[17, 66, 8], Operations: ['36-28=8'] Exploring Operation: 17*8=136, Resulting Numbers: [66, 136] Generated Node #3: [66, 136] from Operation: 17*8=136 Current State: 70:[66, 136], Operations: ['36-28=8', '17*8=136'] Exploring Operation: 136-66=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 54, 26, 26 ]
52
[ "54/18=3", "26*3=78", "78-26=52" ]
Current State: 52:[18, 54, 26, 26], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [26, 26, 3] Generated Node #2: [26, 26, 3] from Operation: 54/18=3 Current State: 52:[26, 26, 3], Operations: ['54/18=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,52 equal: Goal Reached Exploring Operation: 78-26=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 83, 95, 83, 38 ]
95
[ "83-83=0", "38*0=0", "95+0=95" ]
Current State: 95:[83, 95, 83, 38], Operations: [] Exploring Operation: 83-83=0, Resulting Numbers: [95, 38, 0] Generated Node #2: [95, 38, 0] from Operation: 83-83=0 Current State: 95:[95, 38, 0], Operations: ['83-83=0'] Exploring Operation: 38*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 38*0=0 Current State: 95:[95, 0], Operations: ['83-83=0', '38*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 83, 2, 61, 97 ]
65
[ "97-61=36", "36/2=18", "83-18=65" ]
Current State: 65:[83, 2, 61, 97], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [83, 2, 36] Generated Node #2: [83, 2, 36] from Operation: 97-61=36 Current State: 65:[83, 2, 36], Operations: ['97-61=36'] Exploring Operation: 36/2=18, Resulting Numbers: [83, 18] Generated Node #3: [83, 18] from Operation: 36/2=18 Current State: 65:[83, 18], Operations: ['97-61=36', '36/2=18'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 46, 18, 84, 38 ]
94
[ "46-18=28", "84+38=122", "122-28=94" ]
Current State: 94:[46, 18, 84, 38], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [84, 38, 28] Generated Node #2: [84, 38, 28] from Operation: 46-18=28 Current State: 94:[84, 38, 28], Operations: ['46-18=28'] Exploring Operation: 84+38=122, Resulting Numbers: [28, 122] Generated Node #3: [28, 122] from Operation: 84+38=122 Current State: 94:[28, 122], Operations: ['46-18=28', '84+38=122'] Exploring Operation: 122-28=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 38, 56, 19 ]
36
[ "16+56=72", "38/19=2", "72/2=36" ]
Current State: 36:[16, 38, 56, 19], Operations: [] Exploring Operation: 16+56=72, Resulting Numbers: [38, 19, 72] Generated Node #2: [38, 19, 72] from Operation: 16+56=72 Current State: 36:[38, 19, 72], Operations: ['16+56=72'] Exploring Operation: 38/19=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 38/19=2 Current State: 36:[72, 2], Operations: ['16+56=72', '38/19=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 24, 19, 57 ]
10
[ "80*57=4560", "24*19=456", "4560/456=10" ]
Current State: 10:[80, 24, 19, 57], Operations: [] Exploring Operation: 80*57=4560, Resulting Numbers: [24, 19, 4560] Generated Node #2: [24, 19, 4560] from Operation: 80*57=4560 Current State: 10:[24, 19, 4560], Operations: ['80*57=4560'] Exploring Operation: 24*19=456, Resulting Numbers: [4560, 456] Generated Node #3: [4560, 456] from Operation: 24*19=456 Current State: 10:[4560, 456], Operations: ['80*57=4560', '24*19=456'] Exploring Operation: 4560/456=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 15, 19, 65, 17 ]
67
[ "15+19=34", "34/17=2", "65+2=67" ]
Current State: 67:[15, 19, 65, 17], Operations: [] Exploring Operation: 15+19=34, Resulting Numbers: [65, 17, 34] Generated Node #2: [65, 17, 34] from Operation: 15+19=34 Current State: 67:[65, 17, 34], Operations: ['15+19=34'] Exploring Operation: 34/17=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 34/17=2 Current State: 67:[65, 2], Operations: ['15+19=34', '34/17=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 7, 76, 9, 70 ]
32
[ "9-7=2", "76/2=38", "70-38=32" ]
Current State: 32:[7, 76, 9, 70], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [76, 70, 2] Generated Node #2: [76, 70, 2] from Operation: 9-7=2 Current State: 32:[76, 70, 2], Operations: ['9-7=2'] Exploring Operation: 76/2=38, Resulting Numbers: [70, 38] Generated Node #3: [70, 38] from Operation: 76/2=38 Current State: 32:[70, 38], Operations: ['9-7=2', '76/2=38'] Exploring Operation: 70-38=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4