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
[ 34, 48, 36, 34 ]
84
[ "34+48=82", "36-34=2", "82+2=84" ]
Current State: 84:[34, 48, 36, 34], Operations: [] Exploring Operation: 34+48=82, Resulting Numbers: [36, 82] Generated Node #2: [36, 82] from Operation: 34+48=82 Current State: 84:[36, 82], Operations: ['34+48=82'] Exploring Operation: 36-34=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 36-34=2 Current State: 84:[82, 2], Operations: ['34+48=82', '36-34=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 22, 46, 37 ]
38
[ "66*22=1452", "1452-46=1406", "1406/37=38" ]
Current State: 38:[66, 22, 46, 37], Operations: [] Exploring Operation: 66*22=1452, Resulting Numbers: [46, 37, 1452] Generated Node #2: [46, 37, 1452] from Operation: 66*22=1452 Current State: 38:[46, 37, 1452], Operations: ['66*22=1452'] Exploring Operation: 1452-46=1406, Resulting Numbers: [37, 1406] Generated Node #3: [37, 1406] from Operation: 1452-46=1406 Current State: 38:[37, 1406], Operations: ['66*22=1452', '1452-46=1406'] Exploring Operation: 1406/37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 10, 3, 47, 86 ]
91
[ "3+47=50", "50/10=5", "86+5=91" ]
Current State: 91:[10, 3, 47, 86], Operations: [] Exploring Operation: 3+47=50, Resulting Numbers: [10, 86, 50] Generated Node #2: [10, 86, 50] from Operation: 3+47=50 Current State: 91:[10, 86, 50], Operations: ['3+47=50'] Exploring Operation: 50/10=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 50/10=5 Current State: 91:[86, 5], Operations: ['3+47=50', '50/10=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 82, 57, 56, 14 ]
45
[ "82-57=25", "56+14=70", "70-25=45" ]
Current State: 45:[82, 57, 56, 14], Operations: [] Exploring Operation: 82-57=25, Resulting Numbers: [56, 14, 25] Generated Node #2: [56, 14, 25] from Operation: 82-57=25 Current State: 45:[56, 14, 25], Operations: ['82-57=25'] Exploring Operation: 56+14=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 56+14=70 Current State: 45:[25, 70], Operations: ['82-57=25', '56+14=70'] Exploring Operation: 70-25=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 90, 51, 57 ]
55
[ "51-6=45", "90/45=2", "57-2=55" ]
Current State: 55:[6, 90, 51, 57], Operations: [] Exploring Operation: 51-6=45, Resulting Numbers: [90, 57, 45] Generated Node #2: [90, 57, 45] from Operation: 51-6=45 Current State: 55:[90, 57, 45], Operations: ['51-6=45'] Exploring Operation: 90/45=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 90/45=2 Current State: 55:[57, 2], Operations: ['51-6=45', '90/45=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 77, 22, 64 ]
47
[ "77-72=5", "64-22=42", "5+42=47" ]
Current State: 47:[72, 77, 22, 64], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [22, 64, 5] Generated Node #2: [22, 64, 5] from Operation: 77-72=5 Current State: 47:[22, 64, 5], Operations: ['77-72=5'] Exploring Operation: 64-22=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 64-22=42 Current State: 47:[5, 42], Operations: ['77-72=5', '64-22=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 80, 82, 47 ]
63
[ "80-52=28", "82-47=35", "28+35=63" ]
Current State: 63:[52, 80, 82, 47], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [82, 47, 28] Generated Node #2: [82, 47, 28] from Operation: 80-52=28 Current State: 63:[82, 47, 28], Operations: ['80-52=28'] Exploring Operation: 82-47=35, Resulting Numbers: [28, 35] Generated Node #3: [28, 35] from Operation: 82-47=35 Current State: 63:[28, 35], Operations: ['80-52=28', '82-47=35'] Exploring Operation: 28+35=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 14, 52, 15 ]
57
[ "6+14=20", "52-15=37", "20+37=57" ]
Current State: 57:[6, 14, 52, 15], Operations: [] Exploring Operation: 6+14=20, Resulting Numbers: [52, 15, 20] Generated Node #2: [52, 15, 20] from Operation: 6+14=20 Current State: 57:[52, 15, 20], Operations: ['6+14=20'] Exploring Operation: 52-15=37, Resulting Numbers: [20, 37] Generated Node #3: [20, 37] from Operation: 52-15=37 Current State: 57:[20, 37], Operations: ['6+14=20', '52-15=37'] Exploring Operation: 20+37=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 94, 32, 48 ]
20
[ "76*48=3648", "3648/32=114", "114-94=20" ]
Current State: 20:[76, 94, 32, 48], Operations: [] Exploring Operation: 76*48=3648, Resulting Numbers: [94, 32, 3648] Generated Node #2: [94, 32, 3648] from Operation: 76*48=3648 Current State: 20:[94, 32, 3648], Operations: ['76*48=3648'] Exploring Operation: 3648/32=114, Resulting Numbers: [94, 114] Generated Node #3: [94, 114] from Operation: 3648/32=114 Current State: 20:[94, 114], Operations: ['76*48=3648', '3648/32=114'] Exploring Operation: 114-94=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 36, 18, 16 ]
15
[ "48/16=3", "36-18=18", "18-3=15" ]
Current State: 15:[48, 36, 18, 16], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [36, 18, 3] Generated Node #2: [36, 18, 3] from Operation: 48/16=3 Current State: 15:[36, 18, 3], Operations: ['48/16=3'] Exploring Operation: 36-18=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 36-18=18 Current State: 15:[3, 18], Operations: ['48/16=3', '36-18=18'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 2, 58, 97 ]
49
[ "15+58=73", "2*73=146", "146-97=49" ]
Current State: 49:[15, 2, 58, 97], Operations: [] Exploring Operation: 15+58=73, Resulting Numbers: [2, 97, 73] Generated Node #2: [2, 97, 73] from Operation: 15+58=73 Current State: 49:[2, 97, 73], Operations: ['15+58=73'] Exploring Operation: 2*73=146, Resulting Numbers: [97, 146] Generated Node #3: [97, 146] from Operation: 2*73=146 Current State: 49:[97, 146], Operations: ['15+58=73', '2*73=146'] Exploring Operation: 146-97=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 90, 60, 76 ]
67
[ "6*90=540", "540/60=9", "76-9=67" ]
Current State: 67:[6, 90, 60, 76], Operations: [] Exploring Operation: 6*90=540, Resulting Numbers: [60, 76, 540] Generated Node #2: [60, 76, 540] from Operation: 6*90=540 Current State: 67:[60, 76, 540], Operations: ['6*90=540'] Exploring Operation: 540/60=9, Resulting Numbers: [76, 9] Generated Node #3: [76, 9] from Operation: 540/60=9 Current State: 67:[76, 9], Operations: ['6*90=540', '540/60=9'] Exploring Operation: 76-9=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 45, 87, 66 ]
93
[ "45-34=11", "66/11=6", "87+6=93" ]
Current State: 93:[34, 45, 87, 66], Operations: [] Exploring Operation: 45-34=11, Resulting Numbers: [87, 66, 11] Generated Node #2: [87, 66, 11] from Operation: 45-34=11 Current State: 93:[87, 66, 11], Operations: ['45-34=11'] Exploring Operation: 66/11=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 66/11=6 Current State: 93:[87, 6], Operations: ['45-34=11', '66/11=6'] Exploring Operation: 87+6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 95, 92, 23, 2 ]
56
[ "95-23=72", "72/2=36", "92-36=56" ]
Current State: 56:[95, 92, 23, 2], Operations: [] Exploring Operation: 95-23=72, Resulting Numbers: [92, 2, 72] Generated Node #2: [92, 2, 72] from Operation: 95-23=72 Current State: 56:[92, 2, 72], Operations: ['95-23=72'] Exploring Operation: 72/2=36, Resulting Numbers: [92, 36] Generated Node #3: [92, 36] from Operation: 72/2=36 Current State: 56:[92, 36], Operations: ['95-23=72', '72/2=36'] Exploring Operation: 92-36=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 83, 58, 74 ]
45
[ "85-83=2", "58/2=29", "74-29=45" ]
Current State: 45:[85, 83, 58, 74], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [58, 74, 2] Generated Node #2: [58, 74, 2] from Operation: 85-83=2 Current State: 45:[58, 74, 2], Operations: ['85-83=2'] Exploring Operation: 58/2=29, Resulting Numbers: [74, 29] Generated Node #3: [74, 29] from Operation: 58/2=29 Current State: 45:[74, 29], Operations: ['85-83=2', '58/2=29'] Exploring Operation: 74-29=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 94, 30, 8, 7 ]
15
[ "94-30=64", "64/8=8", "7+8=15" ]
Current State: 15:[94, 30, 8, 7], Operations: [] Exploring Operation: 94-30=64, Resulting Numbers: [8, 7, 64] Generated Node #2: [8, 7, 64] from Operation: 94-30=64 Current State: 15:[8, 7, 64], Operations: ['94-30=64'] Exploring Operation: 64/8=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 64/8=8 Current State: 15:[7, 8], Operations: ['94-30=64', '64/8=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 4, 92, 56 ]
66
[ "86-4=82", "92+56=148", "148-82=66" ]
Current State: 66:[86, 4, 92, 56], Operations: [] Exploring Operation: 86-4=82, Resulting Numbers: [92, 56, 82] Generated Node #2: [92, 56, 82] from Operation: 86-4=82 Current State: 66:[92, 56, 82], Operations: ['86-4=82'] Exploring Operation: 92+56=148, Resulting Numbers: [82, 148] Generated Node #3: [82, 148] from Operation: 92+56=148 Current State: 66:[82, 148], Operations: ['86-4=82', '92+56=148'] Exploring Operation: 148-82=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 57, 23, 21 ]
75
[ "62+57=119", "23+21=44", "119-44=75" ]
Current State: 75:[62, 57, 23, 21], Operations: [] Exploring Operation: 62+57=119, Resulting Numbers: [23, 21, 119] Generated Node #2: [23, 21, 119] from Operation: 62+57=119 Current State: 75:[23, 21, 119], Operations: ['62+57=119'] Exploring Operation: 23+21=44, Resulting Numbers: [119, 44] Generated Node #3: [119, 44] from Operation: 23+21=44 Current State: 75:[119, 44], Operations: ['62+57=119', '23+21=44'] Exploring Operation: 119-44=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 50, 38, 52 ]
82
[ "46+50=96", "52-38=14", "96-14=82" ]
Current State: 82:[46, 50, 38, 52], Operations: [] Exploring Operation: 46+50=96, Resulting Numbers: [38, 52, 96] Generated Node #2: [38, 52, 96] from Operation: 46+50=96 Current State: 82:[38, 52, 96], Operations: ['46+50=96'] Exploring Operation: 52-38=14, Resulting Numbers: [96, 14] Generated Node #3: [96, 14] from Operation: 52-38=14 Current State: 82:[96, 14], Operations: ['46+50=96', '52-38=14'] Exploring Operation: 96-14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 48, 73, 77 ]
54
[ "10+48=58", "77-73=4", "58-4=54" ]
Current State: 54:[10, 48, 73, 77], Operations: [] Exploring Operation: 10+48=58, Resulting Numbers: [73, 77, 58] Generated Node #2: [73, 77, 58] from Operation: 10+48=58 Current State: 54:[73, 77, 58], Operations: ['10+48=58'] Exploring Operation: 77-73=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 77-73=4 Current State: 54:[58, 4], Operations: ['10+48=58', '77-73=4'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 65, 39, 8, 93 ]
68
[ "39-8=31", "93/31=3", "65+3=68" ]
Current State: 68:[65, 39, 8, 93], Operations: [] Exploring Operation: 39-8=31, Resulting Numbers: [65, 93, 31] Generated Node #2: [65, 93, 31] from Operation: 39-8=31 Current State: 68:[65, 93, 31], Operations: ['39-8=31'] Exploring Operation: 93/31=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 93/31=3 Current State: 68:[65, 3], Operations: ['39-8=31', '93/31=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 97, 40, 22, 11 ]
55
[ "97-40=57", "22/11=2", "57-2=55" ]
Current State: 55:[97, 40, 22, 11], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [22, 11, 57] Generated Node #2: [22, 11, 57] from Operation: 97-40=57 Current State: 55:[22, 11, 57], Operations: ['97-40=57'] Exploring Operation: 22/11=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 22/11=2 Current State: 55:[57, 2], Operations: ['97-40=57', '22/11=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 78, 36, 24, 35 ]
87
[ "78*24=1872", "1872/36=52", "35+52=87" ]
Current State: 87:[78, 36, 24, 35], Operations: [] Exploring Operation: 78*24=1872, Resulting Numbers: [36, 35, 1872] Generated Node #2: [36, 35, 1872] from Operation: 78*24=1872 Current State: 87:[36, 35, 1872], Operations: ['78*24=1872'] Exploring Operation: 1872/36=52, Resulting Numbers: [35, 52] Generated Node #3: [35, 52] from Operation: 1872/36=52 Current State: 87:[35, 52], Operations: ['78*24=1872', '1872/36=52'] Exploring Operation: 35+52=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 91, 7, 9, 18 ]
71
[ "91+7=98", "9+18=27", "98-27=71" ]
Current State: 71:[91, 7, 9, 18], Operations: [] Exploring Operation: 91+7=98, Resulting Numbers: [9, 18, 98] Generated Node #2: [9, 18, 98] from Operation: 91+7=98 Current State: 71:[9, 18, 98], Operations: ['91+7=98'] Exploring Operation: 9+18=27, Resulting Numbers: [98, 27] Generated Node #3: [98, 27] from Operation: 9+18=27 Current State: 71:[98, 27], Operations: ['91+7=98', '9+18=27'] Exploring Operation: 98-27=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 94, 49, 63, 47 ]
56
[ "94/47=2", "49+63=112", "112/2=56" ]
Current State: 56:[94, 49, 63, 47], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [49, 63, 2] Generated Node #2: [49, 63, 2] from Operation: 94/47=2 Current State: 56:[49, 63, 2], Operations: ['94/47=2'] Exploring Operation: 49+63=112, Resulting Numbers: [2, 112] Generated Node #3: [2, 112] from Operation: 49+63=112 Current State: 56:[2, 112], Operations: ['94/47=2', '49+63=112'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 10, 94, 3, 15 ]
23
[ "94-10=84", "84-15=69", "69/3=23" ]
Current State: 23:[10, 94, 3, 15], Operations: [] Exploring Operation: 94-10=84, Resulting Numbers: [3, 15, 84] Generated Node #2: [3, 15, 84] from Operation: 94-10=84 Current State: 23:[3, 15, 84], Operations: ['94-10=84'] Exploring Operation: 84-15=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 84-15=69 Current State: 23:[3, 69], Operations: ['94-10=84', '84-15=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 18, 50, 29 ]
25
[ "40+18=58", "50*29=1450", "1450/58=25" ]
Current State: 25:[40, 18, 50, 29], Operations: [] Exploring Operation: 40+18=58, Resulting Numbers: [50, 29, 58] Generated Node #2: [50, 29, 58] from Operation: 40+18=58 Current State: 25:[50, 29, 58], Operations: ['40+18=58'] Exploring Operation: 50*29=1450, Resulting Numbers: [58, 1450] Generated Node #3: [58, 1450] from Operation: 50*29=1450 Current State: 25:[58, 1450], Operations: ['40+18=58', '50*29=1450'] Exploring Operation: 1450/58=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 21, 74, 90 ]
100
[ "4*21=84", "90-74=16", "84+16=100" ]
Current State: 100:[4, 21, 74, 90], Operations: [] Exploring Operation: 4*21=84, Resulting Numbers: [74, 90, 84] Generated Node #2: [74, 90, 84] from Operation: 4*21=84 Current State: 100:[74, 90, 84], Operations: ['4*21=84'] Exploring Operation: 90-74=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 90-74=16 Current State: 100:[84, 16], Operations: ['4*21=84', '90-74=16'] Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 72, 68, 70, 7 ]
59
[ "72-68=4", "70-7=63", "63-4=59" ]
Current State: 59:[72, 68, 70, 7], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [70, 7, 4] Generated Node #2: [70, 7, 4] from Operation: 72-68=4 Current State: 59:[70, 7, 4], Operations: ['72-68=4'] Exploring Operation: 70-7=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 70-7=63 Current State: 59:[4, 63], Operations: ['72-68=4', '70-7=63'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 50, 64, 7, 62 ]
93
[ "64-62=2", "50*2=100", "100-7=93" ]
Current State: 93:[50, 64, 7, 62], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [50, 7, 2] Generated Node #2: [50, 7, 2] from Operation: 64-62=2 Current State: 93:[50, 7, 2], Operations: ['64-62=2'] Exploring Operation: 50*2=100, Resulting Numbers: [7, 100] Generated Node #3: [7, 100] from Operation: 50*2=100 Current State: 93:[7, 100], Operations: ['64-62=2', '50*2=100'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 90, 70, 45 ]
23
[ "70-24=46", "90/45=2", "46/2=23" ]
Current State: 23:[24, 90, 70, 45], Operations: [] Exploring Operation: 70-24=46, Resulting Numbers: [90, 45, 46] Generated Node #2: [90, 45, 46] from Operation: 70-24=46 Current State: 23:[90, 45, 46], Operations: ['70-24=46'] Exploring Operation: 90/45=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 90/45=2 Current State: 23:[46, 2], Operations: ['70-24=46', '90/45=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 87, 52, 8 ]
97
[ "52-29=23", "8*23=184", "184-87=97" ]
Current State: 97:[29, 87, 52, 8], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [87, 8, 23] Generated Node #2: [87, 8, 23] from Operation: 52-29=23 Current State: 97:[87, 8, 23], Operations: ['52-29=23'] Exploring Operation: 8*23=184, Resulting Numbers: [87, 184] Generated Node #3: [87, 184] from Operation: 8*23=184 Current State: 97:[87, 184], Operations: ['52-29=23', '8*23=184'] Exploring Operation: 184-87=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 30, 24, 30 ]
11
[ "95-30=65", "24+30=54", "65-54=11" ]
Current State: 11:[95, 30, 24, 30], Operations: [] Exploring Operation: 95-30=65, Resulting Numbers: [24, 65] Generated Node #2: [24, 65] from Operation: 95-30=65 Current State: 11:[24, 65], Operations: ['95-30=65'] Exploring Operation: 24+30=54, Resulting Numbers: [65, 54] Generated Node #3: [65, 54] from Operation: 24+30=54 Current State: 11:[65, 54], Operations: ['95-30=65', '24+30=54'] Exploring Operation: 65-54=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 36, 76, 79, 24 ]
12
[ "79-76=3", "36/3=12", "24-12=12" ]
Current State: 12:[36, 76, 79, 24], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [36, 24, 3] Generated Node #2: [36, 24, 3] from Operation: 79-76=3 Current State: 12:[36, 24, 3], Operations: ['79-76=3'] Exploring Operation: 36/3=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 36/3=12 Current State: 12:[24, 12], Operations: ['79-76=3', '36/3=12'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 38, 75, 77, 50 ]
69
[ "77-75=2", "38/2=19", "50+19=69" ]
Current State: 69:[38, 75, 77, 50], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [38, 50, 2] Generated Node #2: [38, 50, 2] from Operation: 77-75=2 Current State: 69:[38, 50, 2], Operations: ['77-75=2'] Exploring Operation: 38/2=19, Resulting Numbers: [50, 19] Generated Node #3: [50, 19] from Operation: 38/2=19 Current State: 69:[50, 19], Operations: ['77-75=2', '38/2=19'] Exploring Operation: 50+19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 60, 72, 89, 95 ]
62
[ "95-89=6", "60/6=10", "72-10=62" ]
Current State: 62:[60, 72, 89, 95], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [60, 72, 6] Generated Node #2: [60, 72, 6] from Operation: 95-89=6 Current State: 62:[60, 72, 6], Operations: ['95-89=6'] Exploring Operation: 60/6=10, Resulting Numbers: [72, 10] Generated Node #3: [72, 10] from Operation: 60/6=10 Current State: 62:[72, 10], Operations: ['95-89=6', '60/6=10'] Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 26, 5, 72 ]
23
[ "5-3=2", "72-26=46", "46/2=23" ]
Current State: 23:[3, 26, 5, 72], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [26, 72, 2] Generated Node #2: [26, 72, 2] from Operation: 5-3=2 Current State: 23:[26, 72, 2], Operations: ['5-3=2'] Exploring Operation: 72-26=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 72-26=46 Current State: 23:[2, 46], Operations: ['5-3=2', '72-26=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 69, 21, 68 ]
53
[ "69-63=6", "68-21=47", "6+47=53" ]
Current State: 53:[63, 69, 21, 68], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [21, 68, 6] Generated Node #2: [21, 68, 6] from Operation: 69-63=6 Current State: 53:[21, 68, 6], Operations: ['69-63=6'] Exploring Operation: 68-21=47, Resulting Numbers: [6, 47] Generated Node #3: [6, 47] from Operation: 68-21=47 Current State: 53:[6, 47], Operations: ['69-63=6', '68-21=47'] Exploring Operation: 6+47=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 85, 51, 42 ]
44
[ "52+85=137", "51+42=93", "137-93=44" ]
Current State: 44:[52, 85, 51, 42], Operations: [] Exploring Operation: 52+85=137, Resulting Numbers: [51, 42, 137] Generated Node #2: [51, 42, 137] from Operation: 52+85=137 Current State: 44:[51, 42, 137], Operations: ['52+85=137'] Exploring Operation: 51+42=93, Resulting Numbers: [137, 93] Generated Node #3: [137, 93] from Operation: 51+42=93 Current State: 44:[137, 93], Operations: ['52+85=137', '51+42=93'] Exploring Operation: 137-93=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 55, 9, 46, 17 ]
93
[ "55+9=64", "46-17=29", "64+29=93" ]
Current State: 93:[55, 9, 46, 17], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [46, 17, 64] Generated Node #2: [46, 17, 64] from Operation: 55+9=64 Current State: 93:[46, 17, 64], Operations: ['55+9=64'] Exploring Operation: 46-17=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 46-17=29 Current State: 93:[64, 29], Operations: ['55+9=64', '46-17=29'] Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 9, 54, 24 ]
21
[ "11*9=99", "54+24=78", "99-78=21" ]
Current State: 21:[11, 9, 54, 24], Operations: [] Exploring Operation: 11*9=99, Resulting Numbers: [54, 24, 99] Generated Node #2: [54, 24, 99] from Operation: 11*9=99 Current State: 21:[54, 24, 99], Operations: ['11*9=99'] Exploring Operation: 54+24=78, Resulting Numbers: [99, 78] Generated Node #3: [99, 78] from Operation: 54+24=78 Current State: 21:[99, 78], Operations: ['11*9=99', '54+24=78'] Exploring Operation: 99-78=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 8, 34, 53 ]
12
[ "53-2=51", "8*51=408", "408/34=12" ]
Current State: 12:[2, 8, 34, 53], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [8, 34, 51] Generated Node #2: [8, 34, 51] from Operation: 53-2=51 Current State: 12:[8, 34, 51], Operations: ['53-2=51'] Exploring Operation: 8*51=408, Resulting Numbers: [34, 408] Generated Node #3: [34, 408] from Operation: 8*51=408 Current State: 12:[34, 408], Operations: ['53-2=51', '8*51=408'] Exploring Operation: 408/34=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 79, 28, 67 ]
63
[ "33+79=112", "112/28=4", "67-4=63" ]
Current State: 63:[33, 79, 28, 67], Operations: [] Exploring Operation: 33+79=112, Resulting Numbers: [28, 67, 112] Generated Node #2: [28, 67, 112] from Operation: 33+79=112 Current State: 63:[28, 67, 112], Operations: ['33+79=112'] Exploring Operation: 112/28=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 112/28=4 Current State: 63:[67, 4], Operations: ['33+79=112', '112/28=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 1, 41, 39 ]
59
[ "56+1=57", "41-39=2", "57+2=59" ]
Current State: 59:[56, 1, 41, 39], Operations: [] Exploring Operation: 56+1=57, Resulting Numbers: [41, 39, 57] Generated Node #2: [41, 39, 57] from Operation: 56+1=57 Current State: 59:[41, 39, 57], Operations: ['56+1=57'] Exploring Operation: 41-39=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 41-39=2 Current State: 59:[57, 2], Operations: ['56+1=57', '41-39=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 34, 25, 20 ]
65
[ "36+34=70", "25-20=5", "70-5=65" ]
Current State: 65:[36, 34, 25, 20], Operations: [] Exploring Operation: 36+34=70, Resulting Numbers: [25, 20, 70] Generated Node #2: [25, 20, 70] from Operation: 36+34=70 Current State: 65:[25, 20, 70], Operations: ['36+34=70'] Exploring Operation: 25-20=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 25-20=5 Current State: 65:[70, 5], Operations: ['36+34=70', '25-20=5'] Exploring Operation: 70-5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 59, 61, 60 ]
51
[ "59-7=52", "61-60=1", "52-1=51" ]
Current State: 51:[7, 59, 61, 60], Operations: [] Exploring Operation: 59-7=52, Resulting Numbers: [61, 60, 52] Generated Node #2: [61, 60, 52] from Operation: 59-7=52 Current State: 51:[61, 60, 52], Operations: ['59-7=52'] Exploring Operation: 61-60=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 61-60=1 Current State: 51:[52, 1], Operations: ['59-7=52', '61-60=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 16, 77, 21, 63 ]
23
[ "77-16=61", "21+63=84", "84-61=23" ]
Current State: 23:[16, 77, 21, 63], Operations: [] Exploring Operation: 77-16=61, Resulting Numbers: [21, 63, 61] Generated Node #2: [21, 63, 61] from Operation: 77-16=61 Current State: 23:[21, 63, 61], Operations: ['77-16=61'] Exploring Operation: 21+63=84, Resulting Numbers: [61, 84] Generated Node #3: [61, 84] from Operation: 21+63=84 Current State: 23:[61, 84], Operations: ['77-16=61', '21+63=84'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 3, 32, 60 ]
44
[ "32+32=64", "60/3=20", "64-20=44" ]
Current State: 44:[32, 3, 32, 60], Operations: [] Exploring Operation: 32+32=64, Resulting Numbers: [3, 60, 64] Generated Node #2: [3, 60, 64] from Operation: 32+32=64 Current State: 44:[3, 60, 64], Operations: ['32+32=64'] Exploring Operation: 60/3=20, Resulting Numbers: [64, 20] Generated Node #3: [64, 20] from Operation: 60/3=20 Current State: 44:[64, 20], Operations: ['32+32=64', '60/3=20'] Exploring Operation: 64-20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 17, 78, 67, 15 ]
22
[ "17-15=2", "78-67=11", "2*11=22" ]
Current State: 22:[17, 78, 67, 15], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [78, 67, 2] Generated Node #2: [78, 67, 2] from Operation: 17-15=2 Current State: 22:[78, 67, 2], Operations: ['17-15=2'] Exploring Operation: 78-67=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 78-67=11 Current State: 22:[2, 11], Operations: ['17-15=2', '78-67=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 82, 79, 39 ]
70
[ "82-34=48", "79+39=118", "118-48=70" ]
Current State: 70:[34, 82, 79, 39], Operations: [] Exploring Operation: 82-34=48, Resulting Numbers: [79, 39, 48] Generated Node #2: [79, 39, 48] from Operation: 82-34=48 Current State: 70:[79, 39, 48], Operations: ['82-34=48'] Exploring Operation: 79+39=118, Resulting Numbers: [48, 118] Generated Node #3: [48, 118] from Operation: 79+39=118 Current State: 70:[48, 118], Operations: ['82-34=48', '79+39=118'] Exploring Operation: 118-48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 61, 17, 77 ]
21
[ "85/17=5", "77-61=16", "5+16=21" ]
Current State: 21:[85, 61, 17, 77], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [61, 77, 5] Generated Node #2: [61, 77, 5] from Operation: 85/17=5 Current State: 21:[61, 77, 5], Operations: ['85/17=5'] Exploring Operation: 77-61=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 77-61=16 Current State: 21:[5, 16], Operations: ['85/17=5', '77-61=16'] Exploring Operation: 5+16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 73, 47, 74 ]
39
[ "87+73=160", "47+74=121", "160-121=39" ]
Current State: 39:[87, 73, 47, 74], Operations: [] Exploring Operation: 87+73=160, Resulting Numbers: [47, 74, 160] Generated Node #2: [47, 74, 160] from Operation: 87+73=160 Current State: 39:[47, 74, 160], Operations: ['87+73=160'] Exploring Operation: 47+74=121, Resulting Numbers: [160, 121] Generated Node #3: [160, 121] from Operation: 47+74=121 Current State: 39:[160, 121], Operations: ['87+73=160', '47+74=121'] Exploring Operation: 160-121=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 91, 14, 28 ]
64
[ "24*91=2184", "2184/28=78", "78-14=64" ]
Current State: 64:[24, 91, 14, 28], Operations: [] Exploring Operation: 24*91=2184, Resulting Numbers: [14, 28, 2184] Generated Node #2: [14, 28, 2184] from Operation: 24*91=2184 Current State: 64:[14, 28, 2184], Operations: ['24*91=2184'] Exploring Operation: 2184/28=78, Resulting Numbers: [14, 78] Generated Node #3: [14, 78] from Operation: 2184/28=78 Current State: 64:[14, 78], Operations: ['24*91=2184', '2184/28=78'] Exploring Operation: 78-14=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 59, 55, 12, 57 ]
54
[ "59-55=4", "12/4=3", "57-3=54" ]
Current State: 54:[59, 55, 12, 57], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [12, 57, 4] Generated Node #2: [12, 57, 4] from Operation: 59-55=4 Current State: 54:[12, 57, 4], Operations: ['59-55=4'] Exploring Operation: 12/4=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 12/4=3 Current State: 54:[57, 3], Operations: ['59-55=4', '12/4=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 96, 70, 37, 90 ]
79
[ "96-70=26", "90-37=53", "26+53=79" ]
Current State: 79:[96, 70, 37, 90], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [37, 90, 26] Generated Node #2: [37, 90, 26] from Operation: 96-70=26 Current State: 79:[37, 90, 26], Operations: ['96-70=26'] Exploring Operation: 90-37=53, Resulting Numbers: [26, 53] Generated Node #3: [26, 53] from Operation: 90-37=53 Current State: 79:[26, 53], Operations: ['96-70=26', '90-37=53'] Exploring Operation: 26+53=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 40, 70, 19, 45 ]
34
[ "70-40=30", "19+45=64", "64-30=34" ]
Current State: 34:[40, 70, 19, 45], Operations: [] Exploring Operation: 70-40=30, Resulting Numbers: [19, 45, 30] Generated Node #2: [19, 45, 30] from Operation: 70-40=30 Current State: 34:[19, 45, 30], Operations: ['70-40=30'] Exploring Operation: 19+45=64, Resulting Numbers: [30, 64] Generated Node #3: [30, 64] from Operation: 19+45=64 Current State: 34:[30, 64], Operations: ['70-40=30', '19+45=64'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 91, 55, 96, 99 ]
43
[ "99-91=8", "96/8=12", "55-12=43" ]
Current State: 43:[91, 55, 96, 99], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [55, 96, 8] Generated Node #2: [55, 96, 8] from Operation: 99-91=8 Current State: 43:[55, 96, 8], Operations: ['99-91=8'] Exploring Operation: 96/8=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 96/8=12 Current State: 43:[55, 12], Operations: ['99-91=8', '96/8=12'] Exploring Operation: 55-12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 9, 66, 6, 98 ]
47
[ "66-9=57", "6+98=104", "104-57=47" ]
Current State: 47:[9, 66, 6, 98], Operations: [] Exploring Operation: 66-9=57, Resulting Numbers: [6, 98, 57] Generated Node #2: [6, 98, 57] from Operation: 66-9=57 Current State: 47:[6, 98, 57], Operations: ['66-9=57'] Exploring Operation: 6+98=104, Resulting Numbers: [57, 104] Generated Node #3: [57, 104] from Operation: 6+98=104 Current State: 47:[57, 104], Operations: ['66-9=57', '6+98=104'] Exploring Operation: 104-57=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 47, 10, 87 ]
68
[ "87-47=40", "17*40=680", "680/10=68" ]
Current State: 68:[17, 47, 10, 87], Operations: [] Exploring Operation: 87-47=40, Resulting Numbers: [17, 10, 40] Generated Node #2: [17, 10, 40] from Operation: 87-47=40 Current State: 68:[17, 10, 40], Operations: ['87-47=40'] Exploring Operation: 17*40=680, Resulting Numbers: [10, 680] Generated Node #3: [10, 680] from Operation: 17*40=680 Current State: 68:[10, 680], Operations: ['87-47=40', '17*40=680'] Exploring Operation: 680/10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 44, 75, 14 ]
42
[ "44-19=25", "75*14=1050", "1050/25=42" ]
Current State: 42:[19, 44, 75, 14], Operations: [] Exploring Operation: 44-19=25, Resulting Numbers: [75, 14, 25] Generated Node #2: [75, 14, 25] from Operation: 44-19=25 Current State: 42:[75, 14, 25], Operations: ['44-19=25'] Exploring Operation: 75*14=1050, Resulting Numbers: [25, 1050] Generated Node #3: [25, 1050] from Operation: 75*14=1050 Current State: 42:[25, 1050], Operations: ['44-19=25', '75*14=1050'] Exploring Operation: 1050/25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 27, 48, 34 ]
26
[ "4*27=108", "48+34=82", "108-82=26" ]
Current State: 26:[4, 27, 48, 34], Operations: [] Exploring Operation: 4*27=108, Resulting Numbers: [48, 34, 108] Generated Node #2: [48, 34, 108] from Operation: 4*27=108 Current State: 26:[48, 34, 108], Operations: ['4*27=108'] Exploring Operation: 48+34=82, Resulting Numbers: [108, 82] Generated Node #3: [108, 82] from Operation: 48+34=82 Current State: 26:[108, 82], Operations: ['4*27=108', '48+34=82'] Exploring Operation: 108-82=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 7, 1, 78 ]
89
[ "17-7=10", "1+78=79", "10+79=89" ]
Current State: 89:[17, 7, 1, 78], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [1, 78, 10] Generated Node #2: [1, 78, 10] from Operation: 17-7=10 Current State: 89:[1, 78, 10], Operations: ['17-7=10'] Exploring Operation: 1+78=79, Resulting Numbers: [10, 79] Generated Node #3: [10, 79] from Operation: 1+78=79 Current State: 89:[10, 79], Operations: ['17-7=10', '1+78=79'] Exploring Operation: 10+79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 91, 72, 36, 3 ]
14
[ "91-72=19", "36-3=33", "33-19=14" ]
Current State: 14:[91, 72, 36, 3], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [36, 3, 19] Generated Node #2: [36, 3, 19] from Operation: 91-72=19 Current State: 14:[36, 3, 19], Operations: ['91-72=19'] Exploring Operation: 36-3=33, Resulting Numbers: [19, 33] Generated Node #3: [19, 33] from Operation: 36-3=33 Current State: 14:[19, 33], Operations: ['91-72=19', '36-3=33'] Exploring Operation: 33-19=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 27, 92, 50 ]
46
[ "75-27=48", "50-48=2", "92/2=46" ]
Current State: 46:[75, 27, 92, 50], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [92, 50, 48] Generated Node #2: [92, 50, 48] from Operation: 75-27=48 Current State: 46:[92, 50, 48], Operations: ['75-27=48'] Exploring Operation: 50-48=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 50-48=2 Current State: 46:[92, 2], Operations: ['75-27=48', '50-48=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 86, 16, 67, 95 ]
98
[ "86-16=70", "95-67=28", "70+28=98" ]
Current State: 98:[86, 16, 67, 95], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [67, 95, 70] Generated Node #2: [67, 95, 70] from Operation: 86-16=70 Current State: 98:[67, 95, 70], Operations: ['86-16=70'] Exploring Operation: 95-67=28, Resulting Numbers: [70, 28] Generated Node #3: [70, 28] from Operation: 95-67=28 Current State: 98:[70, 28], Operations: ['86-16=70', '95-67=28'] Exploring Operation: 70+28=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 36, 5, 89 ]
19
[ "39+36=75", "5+89=94", "94-75=19" ]
Current State: 19:[39, 36, 5, 89], Operations: [] Exploring Operation: 39+36=75, Resulting Numbers: [5, 89, 75] Generated Node #2: [5, 89, 75] from Operation: 39+36=75 Current State: 19:[5, 89, 75], Operations: ['39+36=75'] Exploring Operation: 5+89=94, Resulting Numbers: [75, 94] Generated Node #3: [75, 94] from Operation: 5+89=94 Current State: 19:[75, 94], Operations: ['39+36=75', '5+89=94'] Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 55, 42, 88, 77 ]
68
[ "55+42=97", "88+77=165", "165-97=68" ]
Current State: 68:[55, 42, 88, 77], Operations: [] Exploring Operation: 55+42=97, Resulting Numbers: [88, 77, 97] Generated Node #2: [88, 77, 97] from Operation: 55+42=97 Current State: 68:[88, 77, 97], Operations: ['55+42=97'] Exploring Operation: 88+77=165, Resulting Numbers: [97, 165] Generated Node #3: [97, 165] from Operation: 88+77=165 Current State: 68:[97, 165], Operations: ['55+42=97', '88+77=165'] Exploring Operation: 165-97=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 21, 28, 63 ]
59
[ "28-21=7", "63/7=9", "50+9=59" ]
Current State: 59:[50, 21, 28, 63], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [50, 63, 7] Generated Node #2: [50, 63, 7] from Operation: 28-21=7 Current State: 59:[50, 63, 7], Operations: ['28-21=7'] Exploring Operation: 63/7=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 63/7=9 Current State: 59:[50, 9], Operations: ['28-21=7', '63/7=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 4, 1, 52 ]
14
[ "28-1=27", "52/4=13", "27-13=14" ]
Current State: 14:[28, 4, 1, 52], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [4, 52, 27] Generated Node #2: [4, 52, 27] from Operation: 28-1=27 Current State: 14:[4, 52, 27], Operations: ['28-1=27'] Exploring Operation: 52/4=13, Resulting Numbers: [27, 13] Generated Node #3: [27, 13] from Operation: 52/4=13 Current State: 14:[27, 13], Operations: ['28-1=27', '52/4=13'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 21, 59, 84 ]
37
[ "33-21=12", "84-59=25", "12+25=37" ]
Current State: 37:[33, 21, 59, 84], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [59, 84, 12] Generated Node #2: [59, 84, 12] from Operation: 33-21=12 Current State: 37:[59, 84, 12], Operations: ['33-21=12'] Exploring Operation: 84-59=25, Resulting Numbers: [12, 25] Generated Node #3: [12, 25] from Operation: 84-59=25 Current State: 37:[12, 25], Operations: ['33-21=12', '84-59=25'] Exploring Operation: 12+25=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 71, 48, 81, 69 ]
75
[ "81-69=12", "48/12=4", "71+4=75" ]
Current State: 75:[71, 48, 81, 69], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [71, 48, 12] Generated Node #2: [71, 48, 12] from Operation: 81-69=12 Current State: 75:[71, 48, 12], Operations: ['81-69=12'] Exploring Operation: 48/12=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 48/12=4 Current State: 75:[71, 4], Operations: ['81-69=12', '48/12=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 60, 13, 20, 42 ]
87
[ "60/20=3", "42-13=29", "3*29=87" ]
Current State: 87:[60, 13, 20, 42], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [13, 42, 3] Generated Node #2: [13, 42, 3] from Operation: 60/20=3 Current State: 87:[13, 42, 3], Operations: ['60/20=3'] Exploring Operation: 42-13=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 42-13=29 Current State: 87:[3, 29], Operations: ['60/20=3', '42-13=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 90, 85, 18 ]
96
[ "16+85=101", "90/18=5", "101-5=96" ]
Current State: 96:[16, 90, 85, 18], Operations: [] Exploring Operation: 16+85=101, Resulting Numbers: [90, 18, 101] Generated Node #2: [90, 18, 101] from Operation: 16+85=101 Current State: 96:[90, 18, 101], Operations: ['16+85=101'] Exploring Operation: 90/18=5, Resulting Numbers: [101, 5] Generated Node #3: [101, 5] from Operation: 90/18=5 Current State: 96:[101, 5], Operations: ['16+85=101', '90/18=5'] Exploring Operation: 101-5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 87, 98, 85 ]
43
[ "98-12=86", "87-85=2", "86/2=43" ]
Current State: 43:[12, 87, 98, 85], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [87, 85, 86] Generated Node #2: [87, 85, 86] from Operation: 98-12=86 Current State: 43:[87, 85, 86], Operations: ['98-12=86'] Exploring Operation: 87-85=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 87-85=2 Current State: 43:[86, 2], Operations: ['98-12=86', '87-85=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 79, 72, 93 ]
27
[ "59+79=138", "72+93=165", "165-138=27" ]
Current State: 27:[59, 79, 72, 93], Operations: [] Exploring Operation: 59+79=138, Resulting Numbers: [72, 93, 138] Generated Node #2: [72, 93, 138] from Operation: 59+79=138 Current State: 27:[72, 93, 138], Operations: ['59+79=138'] Exploring Operation: 72+93=165, Resulting Numbers: [138, 165] Generated Node #3: [138, 165] from Operation: 72+93=165 Current State: 27:[138, 165], Operations: ['59+79=138', '72+93=165'] Exploring Operation: 165-138=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 65, 14, 73, 17 ]
46
[ "65+73=138", "17-14=3", "138/3=46" ]
Current State: 46:[65, 14, 73, 17], Operations: [] Exploring Operation: 65+73=138, Resulting Numbers: [14, 17, 138] Generated Node #2: [14, 17, 138] from Operation: 65+73=138 Current State: 46:[14, 17, 138], Operations: ['65+73=138'] Exploring Operation: 17-14=3, Resulting Numbers: [138, 3] Generated Node #3: [138, 3] from Operation: 17-14=3 Current State: 46:[138, 3], Operations: ['65+73=138', '17-14=3'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 10, 82, 80 ]
49
[ "61-10=51", "82-80=2", "51-2=49" ]
Current State: 49:[61, 10, 82, 80], Operations: [] Exploring Operation: 61-10=51, Resulting Numbers: [82, 80, 51] Generated Node #2: [82, 80, 51] from Operation: 61-10=51 Current State: 49:[82, 80, 51], Operations: ['61-10=51'] Exploring Operation: 82-80=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 82-80=2 Current State: 49:[51, 2], Operations: ['61-10=51', '82-80=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 35, 98, 2 ]
55
[ "4*2=8", "98-35=63", "63-8=55" ]
Current State: 55:[4, 35, 98, 2], Operations: [] Exploring Operation: 4*2=8, Resulting Numbers: [35, 98, 8] Generated Node #2: [35, 98, 8] from Operation: 4*2=8 Current State: 55:[35, 98, 8], Operations: ['4*2=8'] Exploring Operation: 98-35=63, Resulting Numbers: [8, 63] Generated Node #3: [8, 63] from Operation: 98-35=63 Current State: 55:[8, 63], Operations: ['4*2=8', '98-35=63'] Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 35, 74, 11 ]
94
[ "35-4=31", "74-11=63", "31+63=94" ]
Current State: 94:[4, 35, 74, 11], Operations: [] Exploring Operation: 35-4=31, Resulting Numbers: [74, 11, 31] Generated Node #2: [74, 11, 31] from Operation: 35-4=31 Current State: 94:[74, 11, 31], Operations: ['35-4=31'] Exploring Operation: 74-11=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 74-11=63 Current State: 94:[31, 63], Operations: ['35-4=31', '74-11=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 60, 12, 7 ]
62
[ "12-7=5", "10/5=2", "60+2=62" ]
Current State: 62:[10, 60, 12, 7], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [10, 60, 5] Generated Node #2: [10, 60, 5] from Operation: 12-7=5 Current State: 62:[10, 60, 5], Operations: ['12-7=5'] Exploring Operation: 10/5=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 10/5=2 Current State: 62:[60, 2], Operations: ['12-7=5', '10/5=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 66, 69, 68, 43 ]
56
[ "68-66=2", "69+43=112", "112/2=56" ]
Current State: 56:[66, 69, 68, 43], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [69, 43, 2] Generated Node #2: [69, 43, 2] from Operation: 68-66=2 Current State: 56:[69, 43, 2], Operations: ['68-66=2'] Exploring Operation: 69+43=112, Resulting Numbers: [2, 112] Generated Node #3: [2, 112] from Operation: 69+43=112 Current State: 56:[2, 112], Operations: ['68-66=2', '69+43=112'] Exploring Operation: 112/2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 81, 14, 2 ]
83
[ "71+81=152", "14+152=166", "166/2=83" ]
Current State: 83:[71, 81, 14, 2], Operations: [] Exploring Operation: 71+81=152, Resulting Numbers: [14, 2, 152] Generated Node #2: [14, 2, 152] from Operation: 71+81=152 Current State: 83:[14, 2, 152], Operations: ['71+81=152'] Exploring Operation: 14+152=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 14+152=166 Current State: 83:[2, 166], Operations: ['71+81=152', '14+152=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 85, 35, 36, 16 ]
100
[ "85+35=120", "36-16=20", "120-20=100" ]
Current State: 100:[85, 35, 36, 16], Operations: [] Exploring Operation: 85+35=120, Resulting Numbers: [36, 16, 120] Generated Node #2: [36, 16, 120] from Operation: 85+35=120 Current State: 100:[36, 16, 120], Operations: ['85+35=120'] Exploring Operation: 36-16=20, Resulting Numbers: [120, 20] Generated Node #3: [120, 20] from Operation: 36-16=20 Current State: 100:[120, 20], Operations: ['85+35=120', '36-16=20'] Exploring Operation: 120-20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 60, 38, 52, 48 ]
27
[ "60*52=3120", "3120/48=65", "65-38=27" ]
Current State: 27:[60, 38, 52, 48], Operations: [] Exploring Operation: 60*52=3120, Resulting Numbers: [38, 48, 3120] Generated Node #2: [38, 48, 3120] from Operation: 60*52=3120 Current State: 27:[38, 48, 3120], Operations: ['60*52=3120'] Exploring Operation: 3120/48=65, Resulting Numbers: [38, 65] Generated Node #3: [38, 65] from Operation: 3120/48=65 Current State: 27:[38, 65], Operations: ['60*52=3120', '3120/48=65'] Exploring Operation: 65-38=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 27, 81, 43, 39 ]
30
[ "81/27=3", "39/3=13", "43-13=30" ]
Current State: 30:[27, 81, 43, 39], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [43, 39, 3] Generated Node #2: [43, 39, 3] from Operation: 81/27=3 Current State: 30:[43, 39, 3], Operations: ['81/27=3'] Exploring Operation: 39/3=13, Resulting Numbers: [43, 13] Generated Node #3: [43, 13] from Operation: 39/3=13 Current State: 30:[43, 13], Operations: ['81/27=3', '39/3=13'] Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 18, 10, 96, 38 ]
46
[ "18*10=180", "96+38=134", "180-134=46" ]
Current State: 46:[18, 10, 96, 38], Operations: [] Exploring Operation: 18*10=180, Resulting Numbers: [96, 38, 180] Generated Node #2: [96, 38, 180] from Operation: 18*10=180 Current State: 46:[96, 38, 180], Operations: ['18*10=180'] Exploring Operation: 96+38=134, Resulting Numbers: [180, 134] Generated Node #3: [180, 134] from Operation: 96+38=134 Current State: 46:[180, 134], Operations: ['18*10=180', '96+38=134'] Exploring Operation: 180-134=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 4, 92, 14 ]
34
[ "28*4=112", "92-14=78", "112-78=34" ]
Current State: 34:[28, 4, 92, 14], Operations: [] Exploring Operation: 28*4=112, Resulting Numbers: [92, 14, 112] Generated Node #2: [92, 14, 112] from Operation: 28*4=112 Current State: 34:[92, 14, 112], Operations: ['28*4=112'] Exploring Operation: 92-14=78, Resulting Numbers: [112, 78] Generated Node #3: [112, 78] from Operation: 92-14=78 Current State: 34:[112, 78], Operations: ['28*4=112', '92-14=78'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 20, 44, 67, 32 ]
75
[ "44-20=24", "67+32=99", "99-24=75" ]
Current State: 75:[20, 44, 67, 32], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [67, 32, 24] Generated Node #2: [67, 32, 24] from Operation: 44-20=24 Current State: 75:[67, 32, 24], Operations: ['44-20=24'] Exploring Operation: 67+32=99, Resulting Numbers: [24, 99] Generated Node #3: [24, 99] from Operation: 67+32=99 Current State: 75:[24, 99], Operations: ['44-20=24', '67+32=99'] Exploring Operation: 99-24=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 80, 86, 43, 82 ]
41
[ "80+86=166", "43+82=125", "166-125=41" ]
Current State: 41:[80, 86, 43, 82], Operations: [] Exploring Operation: 80+86=166, Resulting Numbers: [43, 82, 166] Generated Node #2: [43, 82, 166] from Operation: 80+86=166 Current State: 41:[43, 82, 166], Operations: ['80+86=166'] Exploring Operation: 43+82=125, Resulting Numbers: [166, 125] Generated Node #3: [166, 125] from Operation: 43+82=125 Current State: 41:[166, 125], Operations: ['80+86=166', '43+82=125'] Exploring Operation: 166-125=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 42, 73, 27 ]
73
[ "42-15=27", "73+27=100", "100-27=73" ]
Current State: 73:[15, 42, 73, 27], Operations: [] Exploring Operation: 42-15=27, Resulting Numbers: [73, 27, 27] Generated Node #2: [73, 27, 27] from Operation: 42-15=27 Current State: 73:[73, 27, 27], Operations: ['42-15=27'] Exploring Operation: 73+27=100, Resulting Numbers: [100] 100,73 equal: Goal Reached Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 2, 70, 22 ]
86
[ "4+2=6", "70+22=92", "92-6=86" ]
Current State: 86:[4, 2, 70, 22], Operations: [] Exploring Operation: 4+2=6, Resulting Numbers: [70, 22, 6] Generated Node #2: [70, 22, 6] from Operation: 4+2=6 Current State: 86:[70, 22, 6], Operations: ['4+2=6'] Exploring Operation: 70+22=92, Resulting Numbers: [6, 92] Generated Node #3: [6, 92] from Operation: 70+22=92 Current State: 86:[6, 92], Operations: ['4+2=6', '70+22=92'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 81, 35, 79, 48 ]
15
[ "81-35=46", "79-48=31", "46-31=15" ]
Current State: 15:[81, 35, 79, 48], Operations: [] Exploring Operation: 81-35=46, Resulting Numbers: [79, 48, 46] Generated Node #2: [79, 48, 46] from Operation: 81-35=46 Current State: 15:[79, 48, 46], Operations: ['81-35=46'] Exploring Operation: 79-48=31, Resulting Numbers: [46, 31] Generated Node #3: [46, 31] from Operation: 79-48=31 Current State: 15:[46, 31], Operations: ['81-35=46', '79-48=31'] Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 4, 55, 70 ]
64
[ "83-4=79", "70-55=15", "79-15=64" ]
Current State: 64:[83, 4, 55, 70], Operations: [] Exploring Operation: 83-4=79, Resulting Numbers: [55, 70, 79] Generated Node #2: [55, 70, 79] from Operation: 83-4=79 Current State: 64:[55, 70, 79], Operations: ['83-4=79'] Exploring Operation: 70-55=15, Resulting Numbers: [79, 15] Generated Node #3: [79, 15] from Operation: 70-55=15 Current State: 64:[79, 15], Operations: ['83-4=79', '70-55=15'] Exploring Operation: 79-15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 48, 24, 78 ]
42
[ "24-21=3", "48+78=126", "126/3=42" ]
Current State: 42:[21, 48, 24, 78], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [48, 78, 3] Generated Node #2: [48, 78, 3] from Operation: 24-21=3 Current State: 42:[48, 78, 3], Operations: ['24-21=3'] Exploring Operation: 48+78=126, Resulting Numbers: [3, 126] Generated Node #3: [3, 126] from Operation: 48+78=126 Current State: 42:[3, 126], Operations: ['24-21=3', '48+78=126'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 14, 3, 18, 48 ]
56
[ "14+48=62", "18/3=6", "62-6=56" ]
Current State: 56:[14, 3, 18, 48], Operations: [] Exploring Operation: 14+48=62, Resulting Numbers: [3, 18, 62] Generated Node #2: [3, 18, 62] from Operation: 14+48=62 Current State: 56:[3, 18, 62], Operations: ['14+48=62'] Exploring Operation: 18/3=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 18/3=6 Current State: 56:[62, 6], Operations: ['14+48=62', '18/3=6'] Exploring Operation: 62-6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 14, 24, 51, 86 ]
99
[ "14+24=38", "51+86=137", "137-38=99" ]
Current State: 99:[14, 24, 51, 86], Operations: [] Exploring Operation: 14+24=38, Resulting Numbers: [51, 86, 38] Generated Node #2: [51, 86, 38] from Operation: 14+24=38 Current State: 99:[51, 86, 38], Operations: ['14+24=38'] Exploring Operation: 51+86=137, Resulting Numbers: [38, 137] Generated Node #3: [38, 137] from Operation: 51+86=137 Current State: 99:[38, 137], Operations: ['14+24=38', '51+86=137'] Exploring Operation: 137-38=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 13, 2, 16, 73 ]
72
[ "13+2=15", "73-16=57", "15+57=72" ]
Current State: 72:[13, 2, 16, 73], Operations: [] Exploring Operation: 13+2=15, Resulting Numbers: [16, 73, 15] Generated Node #2: [16, 73, 15] from Operation: 13+2=15 Current State: 72:[16, 73, 15], Operations: ['13+2=15'] Exploring Operation: 73-16=57, Resulting Numbers: [15, 57] Generated Node #3: [15, 57] from Operation: 73-16=57 Current State: 72:[15, 57], Operations: ['13+2=15', '73-16=57'] Exploring Operation: 15+57=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 76, 26, 99 ]
19
[ "76+99=175", "175/25=7", "26-7=19" ]
Current State: 19:[25, 76, 26, 99], Operations: [] Exploring Operation: 76+99=175, Resulting Numbers: [25, 26, 175] Generated Node #2: [25, 26, 175] from Operation: 76+99=175 Current State: 19:[25, 26, 175], Operations: ['76+99=175'] Exploring Operation: 175/25=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 175/25=7 Current State: 19:[26, 7], Operations: ['76+99=175', '175/25=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 36, 63, 49 ]
81
[ "49-45=4", "36*4=144", "144-63=81" ]
Current State: 81:[45, 36, 63, 49], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [36, 63, 4] Generated Node #2: [36, 63, 4] from Operation: 49-45=4 Current State: 81:[36, 63, 4], Operations: ['49-45=4'] Exploring Operation: 36*4=144, Resulting Numbers: [63, 144] Generated Node #3: [63, 144] from Operation: 36*4=144 Current State: 81:[63, 144], Operations: ['49-45=4', '36*4=144'] Exploring Operation: 144-63=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 62, 25, 22 ]
94
[ "62/31=2", "25+22=47", "2*47=94" ]
Current State: 94:[31, 62, 25, 22], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [25, 22, 2] Generated Node #2: [25, 22, 2] from Operation: 62/31=2 Current State: 94:[25, 22, 2], Operations: ['62/31=2'] Exploring Operation: 25+22=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 25+22=47 Current State: 94:[2, 47], Operations: ['62/31=2', '25+22=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4