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
[ 52, 11, 82, 74 ]
37
[ "52-11=41", "82/41=2", "74/2=37" ]
Current State: 37:[52, 11, 82, 74], Operations: [] Exploring Operation: 52-11=41, Resulting Numbers: [82, 74, 41] Generated Node #2: [82, 74, 41] from Operation: 52-11=41 Current State: 37:[82, 74, 41], Operations: ['52-11=41'] Exploring Operation: 82/41=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 82/41=2 Current State: 37:[74, 2], Operations: ['52-11=41', '82/41=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 51, 64, 30, 55 ]
12
[ "64-51=13", "55-30=25", "25-13=12" ]
Current State: 12:[51, 64, 30, 55], Operations: [] Exploring Operation: 64-51=13, Resulting Numbers: [30, 55, 13] Generated Node #2: [30, 55, 13] from Operation: 64-51=13 Current State: 12:[30, 55, 13], Operations: ['64-51=13'] Exploring Operation: 55-30=25, Resulting Numbers: [13, 25] Generated Node #3: [13, 25] from Operation: 55-30=25 Current State: 12:[13, 25], Operations: ['64-51=13', '55-30=25'] Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 89, 90, 18, 5 ]
72
[ "90-89=1", "5-1=4", "18*4=72" ]
Current State: 72:[89, 90, 18, 5], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [18, 5, 1] Generated Node #2: [18, 5, 1] from Operation: 90-89=1 Current State: 72:[18, 5, 1], Operations: ['90-89=1'] Exploring Operation: 5-1=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 5-1=4 Current State: 72:[18, 4], Operations: ['90-89=1', '5-1=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 40, 82, 31 ]
90
[ "82-72=10", "40-31=9", "10*9=90" ]
Current State: 90:[72, 40, 82, 31], Operations: [] Exploring Operation: 82-72=10, Resulting Numbers: [40, 31, 10] Generated Node #2: [40, 31, 10] from Operation: 82-72=10 Current State: 90:[40, 31, 10], Operations: ['82-72=10'] Exploring Operation: 40-31=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 40-31=9 Current State: 90:[10, 9], Operations: ['82-72=10', '40-31=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 21, 79, 32 ]
73
[ "5+21=26", "79-32=47", "26+47=73" ]
Current State: 73:[5, 21, 79, 32], Operations: [] Exploring Operation: 5+21=26, Resulting Numbers: [79, 32, 26] Generated Node #2: [79, 32, 26] from Operation: 5+21=26 Current State: 73:[79, 32, 26], Operations: ['5+21=26'] Exploring Operation: 79-32=47, Resulting Numbers: [26, 47] Generated Node #3: [26, 47] from Operation: 79-32=47 Current State: 73:[26, 47], Operations: ['5+21=26', '79-32=47'] Exploring Operation: 26+47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 76, 43, 21, 41 ]
72
[ "43+41=84", "84/21=4", "76-4=72" ]
Current State: 72:[76, 43, 21, 41], Operations: [] Exploring Operation: 43+41=84, Resulting Numbers: [76, 21, 84] Generated Node #2: [76, 21, 84] from Operation: 43+41=84 Current State: 72:[76, 21, 84], Operations: ['43+41=84'] Exploring Operation: 84/21=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 84/21=4 Current State: 72:[76, 4], Operations: ['43+41=84', '84/21=4'] Exploring Operation: 76-4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 3, 45, 3 ]
36
[ "57*3=171", "45*3=135", "171-135=36" ]
Current State: 36:[57, 3, 45, 3], Operations: [] Exploring Operation: 57*3=171, Resulting Numbers: [45, 171] Generated Node #2: [45, 171] from Operation: 57*3=171 Current State: 36:[45, 171], Operations: ['57*3=171'] Exploring Operation: 45*3=135, Resulting Numbers: [171, 135] Generated Node #3: [171, 135] from Operation: 45*3=135 Current State: 36:[171, 135], Operations: ['57*3=171', '45*3=135'] Exploring Operation: 171-135=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 9, 55, 50 ]
25
[ "89-9=80", "55+50=105", "105-80=25" ]
Current State: 25:[89, 9, 55, 50], Operations: [] Exploring Operation: 89-9=80, Resulting Numbers: [55, 50, 80] Generated Node #2: [55, 50, 80] from Operation: 89-9=80 Current State: 25:[55, 50, 80], Operations: ['89-9=80'] Exploring Operation: 55+50=105, Resulting Numbers: [80, 105] Generated Node #3: [80, 105] from Operation: 55+50=105 Current State: 25:[80, 105], Operations: ['89-9=80', '55+50=105'] Exploring Operation: 105-80=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 89, 75, 62 ]
84
[ "75-62=13", "65/13=5", "89-5=84" ]
Current State: 84:[65, 89, 75, 62], Operations: [] Exploring Operation: 75-62=13, Resulting Numbers: [65, 89, 13] Generated Node #2: [65, 89, 13] from Operation: 75-62=13 Current State: 84:[65, 89, 13], Operations: ['75-62=13'] Exploring Operation: 65/13=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 65/13=5 Current State: 84:[89, 5], Operations: ['75-62=13', '65/13=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 19, 26, 33 ]
31
[ "64-26=38", "38/19=2", "33-2=31" ]
Current State: 31:[64, 19, 26, 33], Operations: [] Exploring Operation: 64-26=38, Resulting Numbers: [19, 33, 38] Generated Node #2: [19, 33, 38] from Operation: 64-26=38 Current State: 31:[19, 33, 38], Operations: ['64-26=38'] Exploring Operation: 38/19=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 38/19=2 Current State: 31:[33, 2], Operations: ['64-26=38', '38/19=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 63, 10, 14 ]
39
[ "1*63=63", "10+14=24", "63-24=39" ]
Current State: 39:[1, 63, 10, 14], Operations: [] Exploring Operation: 1*63=63, Resulting Numbers: [10, 14, 63] Generated Node #2: [10, 14, 63] from Operation: 1*63=63 Current State: 39:[10, 14, 63], Operations: ['1*63=63'] Exploring Operation: 10+14=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 10+14=24 Current State: 39:[63, 24], Operations: ['1*63=63', '10+14=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 31, 34, 79 ]
43
[ "33-31=2", "79-34=45", "45-2=43" ]
Current State: 43:[33, 31, 34, 79], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [34, 79, 2] Generated Node #2: [34, 79, 2] from Operation: 33-31=2 Current State: 43:[34, 79, 2], Operations: ['33-31=2'] Exploring Operation: 79-34=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 79-34=45 Current State: 43:[2, 45], Operations: ['33-31=2', '79-34=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 15, 70, 56 ]
71
[ "56/4=14", "15+70=85", "85-14=71" ]
Current State: 71:[4, 15, 70, 56], Operations: [] Exploring Operation: 56/4=14, Resulting Numbers: [15, 70, 14] Generated Node #2: [15, 70, 14] from Operation: 56/4=14 Current State: 71:[15, 70, 14], Operations: ['56/4=14'] Exploring Operation: 15+70=85, Resulting Numbers: [14, 85] Generated Node #3: [14, 85] from Operation: 15+70=85 Current State: 71:[14, 85], Operations: ['56/4=14', '15+70=85'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 20, 69, 95, 97 ]
87
[ "20+69=89", "97-95=2", "89-2=87" ]
Current State: 87:[20, 69, 95, 97], Operations: [] Exploring Operation: 20+69=89, Resulting Numbers: [95, 97, 89] Generated Node #2: [95, 97, 89] from Operation: 20+69=89 Current State: 87:[95, 97, 89], Operations: ['20+69=89'] Exploring Operation: 97-95=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 97-95=2 Current State: 87:[89, 2], Operations: ['20+69=89', '97-95=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 37, 63, 25 ]
83
[ "37+63=100", "100/25=4", "87-4=83" ]
Current State: 83:[87, 37, 63, 25], Operations: [] Exploring Operation: 37+63=100, Resulting Numbers: [87, 25, 100] Generated Node #2: [87, 25, 100] from Operation: 37+63=100 Current State: 83:[87, 25, 100], Operations: ['37+63=100'] Exploring Operation: 100/25=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 100/25=4 Current State: 83:[87, 4], Operations: ['37+63=100', '100/25=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 8, 26, 52 ]
92
[ "50*52=2600", "2600/26=100", "100-8=92" ]
Current State: 92:[50, 8, 26, 52], Operations: [] Exploring Operation: 50*52=2600, Resulting Numbers: [8, 26, 2600] Generated Node #2: [8, 26, 2600] from Operation: 50*52=2600 Current State: 92:[8, 26, 2600], Operations: ['50*52=2600'] Exploring Operation: 2600/26=100, Resulting Numbers: [8, 100] Generated Node #3: [8, 100] from Operation: 2600/26=100 Current State: 92:[8, 100], Operations: ['50*52=2600', '2600/26=100'] Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 20, 11, 3 ]
16
[ "57-20=37", "11+37=48", "48/3=16" ]
Current State: 16:[57, 20, 11, 3], Operations: [] Exploring Operation: 57-20=37, Resulting Numbers: [11, 3, 37] Generated Node #2: [11, 3, 37] from Operation: 57-20=37 Current State: 16:[11, 3, 37], Operations: ['57-20=37'] Exploring Operation: 11+37=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 11+37=48 Current State: 16:[3, 48], Operations: ['57-20=37', '11+37=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 17, 93, 64 ]
95
[ "51/17=3", "93/3=31", "64+31=95" ]
Current State: 95:[51, 17, 93, 64], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [93, 64, 3] Generated Node #2: [93, 64, 3] from Operation: 51/17=3 Current State: 95:[93, 64, 3], Operations: ['51/17=3'] Exploring Operation: 93/3=31, Resulting Numbers: [64, 31] Generated Node #3: [64, 31] from Operation: 93/3=31 Current State: 95:[64, 31], Operations: ['51/17=3', '93/3=31'] Exploring Operation: 64+31=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 81, 34, 48, 83 ]
81
[ "34+48=82", "83-82=1", "81*1=81" ]
Current State: 81:[81, 34, 48, 83], Operations: [] Exploring Operation: 34+48=82, Resulting Numbers: [81, 83, 82] Generated Node #2: [81, 83, 82] from Operation: 34+48=82 Current State: 81:[81, 83, 82], Operations: ['34+48=82'] Exploring Operation: 83-82=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 83-82=1 Current State: 81:[81, 1], Operations: ['34+48=82', '83-82=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 97, 3, 69 ]
87
[ "97-69=28", "3*28=84", "3+84=87" ]
Current State: 87:[3, 97, 3, 69], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [3, 3, 28] Generated Node #2: [3, 3, 28] from Operation: 97-69=28 Current State: 87:[3, 3, 28], Operations: ['97-69=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,87 equal: Goal Reached Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 47, 78, 33, 2 ]
97
[ "78-47=31", "33*2=66", "31+66=97" ]
Current State: 97:[47, 78, 33, 2], Operations: [] Exploring Operation: 78-47=31, Resulting Numbers: [33, 2, 31] Generated Node #2: [33, 2, 31] from Operation: 78-47=31 Current State: 97:[33, 2, 31], Operations: ['78-47=31'] Exploring Operation: 33*2=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 33*2=66 Current State: 97:[31, 66], Operations: ['78-47=31', '33*2=66'] Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 92, 20, 25, 34 ]
13
[ "92-20=72", "25+34=59", "72-59=13" ]
Current State: 13:[92, 20, 25, 34], Operations: [] Exploring Operation: 92-20=72, Resulting Numbers: [25, 34, 72] Generated Node #2: [25, 34, 72] from Operation: 92-20=72 Current State: 13:[25, 34, 72], Operations: ['92-20=72'] Exploring Operation: 25+34=59, Resulting Numbers: [72, 59] Generated Node #3: [72, 59] from Operation: 25+34=59 Current State: 13:[72, 59], Operations: ['92-20=72', '25+34=59'] Exploring Operation: 72-59=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 29, 21, 64 ]
62
[ "79-21=58", "58/29=2", "64-2=62" ]
Current State: 62:[79, 29, 21, 64], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [29, 64, 58] Generated Node #2: [29, 64, 58] from Operation: 79-21=58 Current State: 62:[29, 64, 58], Operations: ['79-21=58'] Exploring Operation: 58/29=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 58/29=2 Current State: 62:[64, 2], Operations: ['79-21=58', '58/29=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 98, 56, 24, 96 ]
78
[ "98-56=42", "24+96=120", "120-42=78" ]
Current State: 78:[98, 56, 24, 96], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [24, 96, 42] Generated Node #2: [24, 96, 42] from Operation: 98-56=42 Current State: 78:[24, 96, 42], Operations: ['98-56=42'] Exploring Operation: 24+96=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 24+96=120 Current State: 78:[42, 120], Operations: ['98-56=42', '24+96=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 11, 23, 58 ]
88
[ "11-4=7", "23+58=81", "7+81=88" ]
Current State: 88:[4, 11, 23, 58], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [23, 58, 7] Generated Node #2: [23, 58, 7] from Operation: 11-4=7 Current State: 88:[23, 58, 7], Operations: ['11-4=7'] Exploring Operation: 23+58=81, Resulting Numbers: [7, 81] Generated Node #3: [7, 81] from Operation: 23+58=81 Current State: 88:[7, 81], Operations: ['11-4=7', '23+58=81'] Exploring Operation: 7+81=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 47, 76, 78, 43 ]
45
[ "47+43=90", "78-76=2", "90/2=45" ]
Current State: 45:[47, 76, 78, 43], Operations: [] Exploring Operation: 47+43=90, Resulting Numbers: [76, 78, 90] Generated Node #2: [76, 78, 90] from Operation: 47+43=90 Current State: 45:[76, 78, 90], Operations: ['47+43=90'] Exploring Operation: 78-76=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 78-76=2 Current State: 45:[90, 2], Operations: ['47+43=90', '78-76=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 9, 16, 12 ]
82
[ "16-9=7", "12*7=84", "84-2=82" ]
Current State: 82:[2, 9, 16, 12], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [2, 12, 7] Generated Node #2: [2, 12, 7] from Operation: 16-9=7 Current State: 82:[2, 12, 7], Operations: ['16-9=7'] Exploring Operation: 12*7=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 12*7=84 Current State: 82:[2, 84], Operations: ['16-9=7', '12*7=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 75, 10, 61, 29 ]
12
[ "61+29=90", "10*90=900", "900/75=12" ]
Current State: 12:[75, 10, 61, 29], Operations: [] Exploring Operation: 61+29=90, Resulting Numbers: [75, 10, 90] Generated Node #2: [75, 10, 90] from Operation: 61+29=90 Current State: 12:[75, 10, 90], Operations: ['61+29=90'] Exploring Operation: 10*90=900, Resulting Numbers: [75, 900] Generated Node #3: [75, 900] from Operation: 10*90=900 Current State: 12:[75, 900], Operations: ['61+29=90', '10*90=900'] Exploring Operation: 900/75=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 42, 52, 20 ]
72
[ "52-42=10", "20/10=2", "74-2=72" ]
Current State: 72:[74, 42, 52, 20], Operations: [] Exploring Operation: 52-42=10, Resulting Numbers: [74, 20, 10] Generated Node #2: [74, 20, 10] from Operation: 52-42=10 Current State: 72:[74, 20, 10], Operations: ['52-42=10'] Exploring Operation: 20/10=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 20/10=2 Current State: 72:[74, 2], Operations: ['52-42=10', '20/10=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 94, 28, 18, 57 ]
47
[ "94+28=122", "18+57=75", "122-75=47" ]
Current State: 47:[94, 28, 18, 57], Operations: [] Exploring Operation: 94+28=122, Resulting Numbers: [18, 57, 122] Generated Node #2: [18, 57, 122] from Operation: 94+28=122 Current State: 47:[18, 57, 122], Operations: ['94+28=122'] Exploring Operation: 18+57=75, Resulting Numbers: [122, 75] Generated Node #3: [122, 75] from Operation: 18+57=75 Current State: 47:[122, 75], Operations: ['94+28=122', '18+57=75'] Exploring Operation: 122-75=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 57, 88, 47 ]
97
[ "57-19=38", "88+47=135", "135-38=97" ]
Current State: 97:[19, 57, 88, 47], Operations: [] Exploring Operation: 57-19=38, Resulting Numbers: [88, 47, 38] Generated Node #2: [88, 47, 38] from Operation: 57-19=38 Current State: 97:[88, 47, 38], Operations: ['57-19=38'] Exploring Operation: 88+47=135, Resulting Numbers: [38, 135] Generated Node #3: [38, 135] from Operation: 88+47=135 Current State: 97:[38, 135], Operations: ['57-19=38', '88+47=135'] Exploring Operation: 135-38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 71, 45, 7, 31 ]
69
[ "45-31=14", "14/7=2", "71-2=69" ]
Current State: 69:[71, 45, 7, 31], Operations: [] Exploring Operation: 45-31=14, Resulting Numbers: [71, 7, 14] Generated Node #2: [71, 7, 14] from Operation: 45-31=14 Current State: 69:[71, 7, 14], Operations: ['45-31=14'] Exploring Operation: 14/7=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 14/7=2 Current State: 69:[71, 2], Operations: ['45-31=14', '14/7=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 23, 15, 3, 5 ]
11
[ "23+15=38", "38-5=33", "33/3=11" ]
Current State: 11:[23, 15, 3, 5], Operations: [] Exploring Operation: 23+15=38, Resulting Numbers: [3, 5, 38] Generated Node #2: [3, 5, 38] from Operation: 23+15=38 Current State: 11:[3, 5, 38], Operations: ['23+15=38'] Exploring Operation: 38-5=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 38-5=33 Current State: 11:[3, 33], Operations: ['23+15=38', '38-5=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 57, 19, 52 ]
13
[ "72-57=15", "19-15=4", "52/4=13" ]
Current State: 13:[72, 57, 19, 52], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [19, 52, 15] Generated Node #2: [19, 52, 15] from Operation: 72-57=15 Current State: 13:[19, 52, 15], Operations: ['72-57=15'] Exploring Operation: 19-15=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 19-15=4 Current State: 13:[52, 4], Operations: ['72-57=15', '19-15=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 57, 45, 57, 39 ]
83
[ "57/57=1", "45+39=84", "84-1=83" ]
Current State: 83:[57, 45, 57, 39], Operations: [] Exploring Operation: 57/57=1, Resulting Numbers: [45, 39, 1] Generated Node #2: [45, 39, 1] from Operation: 57/57=1 Current State: 83:[45, 39, 1], Operations: ['57/57=1'] Exploring Operation: 45+39=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 45+39=84 Current State: 83:[1, 84], Operations: ['57/57=1', '45+39=84'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 12, 48, 9, 45 ]
63
[ "12+9=21", "48-45=3", "21*3=63" ]
Current State: 63:[12, 48, 9, 45], Operations: [] Exploring Operation: 12+9=21, Resulting Numbers: [48, 45, 21] Generated Node #2: [48, 45, 21] from Operation: 12+9=21 Current State: 63:[48, 45, 21], Operations: ['12+9=21'] Exploring Operation: 48-45=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 48-45=3 Current State: 63:[21, 3], Operations: ['12+9=21', '48-45=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 35, 60, 28, 52 ]
49
[ "60-35=25", "52-28=24", "25+24=49" ]
Current State: 49:[35, 60, 28, 52], Operations: [] Exploring Operation: 60-35=25, Resulting Numbers: [28, 52, 25] Generated Node #2: [28, 52, 25] from Operation: 60-35=25 Current State: 49:[28, 52, 25], Operations: ['60-35=25'] Exploring Operation: 52-28=24, Resulting Numbers: [25, 24] Generated Node #3: [25, 24] from Operation: 52-28=24 Current State: 49:[25, 24], Operations: ['60-35=25', '52-28=24'] Exploring Operation: 25+24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 41, 99, 3, 36 ]
84
[ "41-36=5", "3*5=15", "99-15=84" ]
Current State: 84:[41, 99, 3, 36], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [99, 3, 5] Generated Node #2: [99, 3, 5] from Operation: 41-36=5 Current State: 84:[99, 3, 5], Operations: ['41-36=5'] Exploring Operation: 3*5=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 3*5=15 Current State: 84:[99, 15], Operations: ['41-36=5', '3*5=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 74, 78, 22, 91 ]
39
[ "74+78=152", "22+91=113", "152-113=39" ]
Current State: 39:[74, 78, 22, 91], Operations: [] Exploring Operation: 74+78=152, Resulting Numbers: [22, 91, 152] Generated Node #2: [22, 91, 152] from Operation: 74+78=152 Current State: 39:[22, 91, 152], Operations: ['74+78=152'] Exploring Operation: 22+91=113, Resulting Numbers: [152, 113] Generated Node #3: [152, 113] from Operation: 22+91=113 Current State: 39:[152, 113], Operations: ['74+78=152', '22+91=113'] Exploring Operation: 152-113=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 16, 4, 35 ]
40
[ "55+16=71", "35-4=31", "71-31=40" ]
Current State: 40:[55, 16, 4, 35], Operations: [] Exploring Operation: 55+16=71, Resulting Numbers: [4, 35, 71] Generated Node #2: [4, 35, 71] from Operation: 55+16=71 Current State: 40:[4, 35, 71], Operations: ['55+16=71'] Exploring Operation: 35-4=31, Resulting Numbers: [71, 31] Generated Node #3: [71, 31] from Operation: 35-4=31 Current State: 40:[71, 31], Operations: ['55+16=71', '35-4=31'] Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 78, 8, 54 ]
87
[ "8-2=6", "54/6=9", "78+9=87" ]
Current State: 87:[2, 78, 8, 54], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [78, 54, 6] Generated Node #2: [78, 54, 6] from Operation: 8-2=6 Current State: 87:[78, 54, 6], Operations: ['8-2=6'] Exploring Operation: 54/6=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 54/6=9 Current State: 87:[78, 9], Operations: ['8-2=6', '54/6=9'] Exploring Operation: 78+9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 17, 12, 85, 89 ]
25
[ "17+12=29", "89-85=4", "29-4=25" ]
Current State: 25:[17, 12, 85, 89], Operations: [] Exploring Operation: 17+12=29, Resulting Numbers: [85, 89, 29] Generated Node #2: [85, 89, 29] from Operation: 17+12=29 Current State: 25:[85, 89, 29], Operations: ['17+12=29'] Exploring Operation: 89-85=4, Resulting Numbers: [29, 4] Generated Node #3: [29, 4] from Operation: 89-85=4 Current State: 25:[29, 4], Operations: ['17+12=29', '89-85=4'] Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 46, 33, 78 ]
80
[ "59+33=92", "92/46=2", "78+2=80" ]
Current State: 80:[59, 46, 33, 78], Operations: [] Exploring Operation: 59+33=92, Resulting Numbers: [46, 78, 92] Generated Node #2: [46, 78, 92] from Operation: 59+33=92 Current State: 80:[46, 78, 92], Operations: ['59+33=92'] Exploring Operation: 92/46=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 92/46=2 Current State: 80:[78, 2], Operations: ['59+33=92', '92/46=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 85, 39, 9 ]
15
[ "11+85=96", "39+96=135", "135/9=15" ]
Current State: 15:[11, 85, 39, 9], Operations: [] Exploring Operation: 11+85=96, Resulting Numbers: [39, 9, 96] Generated Node #2: [39, 9, 96] from Operation: 11+85=96 Current State: 15:[39, 9, 96], Operations: ['11+85=96'] Exploring Operation: 39+96=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 39+96=135 Current State: 15:[9, 135], Operations: ['11+85=96', '39+96=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 9, 4, 38, 26 ]
68
[ "9*26=234", "38+234=272", "272/4=68" ]
Current State: 68:[9, 4, 38, 26], Operations: [] Exploring Operation: 9*26=234, Resulting Numbers: [4, 38, 234] Generated Node #2: [4, 38, 234] from Operation: 9*26=234 Current State: 68:[4, 38, 234], Operations: ['9*26=234'] Exploring Operation: 38+234=272, Resulting Numbers: [4, 272] Generated Node #3: [4, 272] from Operation: 38+234=272 Current State: 68:[4, 272], Operations: ['9*26=234', '38+234=272'] Exploring Operation: 272/4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 57, 59, 95, 24 ]
99
[ "95*24=2280", "2280/57=40", "59+40=99" ]
Current State: 99:[57, 59, 95, 24], Operations: [] Exploring Operation: 95*24=2280, Resulting Numbers: [57, 59, 2280] Generated Node #2: [57, 59, 2280] from Operation: 95*24=2280 Current State: 99:[57, 59, 2280], Operations: ['95*24=2280'] Exploring Operation: 2280/57=40, Resulting Numbers: [59, 40] Generated Node #3: [59, 40] from Operation: 2280/57=40 Current State: 99:[59, 40], Operations: ['95*24=2280', '2280/57=40'] Exploring Operation: 59+40=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 50, 8, 51, 18 ]
10
[ "51-50=1", "18-8=10", "1*10=10" ]
Current State: 10:[50, 8, 51, 18], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [8, 18, 1] Generated Node #2: [8, 18, 1] from Operation: 51-50=1 Current State: 10:[8, 18, 1], Operations: ['51-50=1'] Exploring Operation: 18-8=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 18-8=10 Current State: 10:[1, 10], Operations: ['51-50=1', '18-8=10'] Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 65, 1, 68, 62 ]
65
[ "65*1=65", "68+62=130", "130-65=65" ]
Current State: 65:[65, 1, 68, 62], Operations: [] Exploring Operation: 65*1=65, Resulting Numbers: [68, 62, 65] Generated Node #2: [68, 62, 65] from Operation: 65*1=65 Current State: 65:[68, 62, 65], Operations: ['65*1=65'] Exploring Operation: 68+62=130, Resulting Numbers: [65, 130] Generated Node #3: [65, 130] from Operation: 68+62=130 Current State: 65:[65, 130], Operations: ['65*1=65', '68+62=130'] Exploring Operation: 130-65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 78, 81, 60, 62 ]
42
[ "81-78=3", "60/3=20", "62-20=42" ]
Current State: 42:[78, 81, 60, 62], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [60, 62, 3] Generated Node #2: [60, 62, 3] from Operation: 81-78=3 Current State: 42:[60, 62, 3], Operations: ['81-78=3'] Exploring Operation: 60/3=20, Resulting Numbers: [62, 20] Generated Node #3: [62, 20] from Operation: 60/3=20 Current State: 42:[62, 20], Operations: ['81-78=3', '60/3=20'] Exploring Operation: 62-20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 2, 38, 78 ]
27
[ "28+38=66", "78/2=39", "66-39=27" ]
Current State: 27:[28, 2, 38, 78], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [2, 78, 66] Generated Node #2: [2, 78, 66] from Operation: 28+38=66 Current State: 27:[2, 78, 66], Operations: ['28+38=66'] Exploring Operation: 78/2=39, Resulting Numbers: [66, 39] Generated Node #3: [66, 39] from Operation: 78/2=39 Current State: 27:[66, 39], Operations: ['28+38=66', '78/2=39'] Exploring Operation: 66-39=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 28, 10, 40 ]
71
[ "49-28=21", "10+40=50", "21+50=71" ]
Current State: 71:[49, 28, 10, 40], Operations: [] Exploring Operation: 49-28=21, Resulting Numbers: [10, 40, 21] Generated Node #2: [10, 40, 21] from Operation: 49-28=21 Current State: 71:[10, 40, 21], Operations: ['49-28=21'] Exploring Operation: 10+40=50, Resulting Numbers: [21, 50] Generated Node #3: [21, 50] from Operation: 10+40=50 Current State: 71:[21, 50], Operations: ['49-28=21', '10+40=50'] Exploring Operation: 21+50=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 93, 97, 14 ]
55
[ "97-93=4", "14*4=56", "56-1=55" ]
Current State: 55:[1, 93, 97, 14], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [1, 14, 4] Generated Node #2: [1, 14, 4] from Operation: 97-93=4 Current State: 55:[1, 14, 4], Operations: ['97-93=4'] Exploring Operation: 14*4=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 14*4=56 Current State: 55:[1, 56], Operations: ['97-93=4', '14*4=56'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 5, 83, 63 ]
76
[ "83-63=20", "20/5=4", "72+4=76" ]
Current State: 76:[72, 5, 83, 63], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [72, 5, 20] Generated Node #2: [72, 5, 20] from Operation: 83-63=20 Current State: 76:[72, 5, 20], Operations: ['83-63=20'] Exploring Operation: 20/5=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 20/5=4 Current State: 76:[72, 4], Operations: ['83-63=20', '20/5=4'] Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 98, 34, 57, 51 ]
24
[ "98+34=132", "57+51=108", "132-108=24" ]
Current State: 24:[98, 34, 57, 51], Operations: [] Exploring Operation: 98+34=132, Resulting Numbers: [57, 51, 132] Generated Node #2: [57, 51, 132] from Operation: 98+34=132 Current State: 24:[57, 51, 132], Operations: ['98+34=132'] Exploring Operation: 57+51=108, Resulting Numbers: [132, 108] Generated Node #3: [132, 108] from Operation: 57+51=108 Current State: 24:[132, 108], Operations: ['98+34=132', '57+51=108'] Exploring Operation: 132-108=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 2, 39, 6 ]
47
[ "96/2=48", "48/6=8", "39+8=47" ]
Current State: 47:[96, 2, 39, 6], Operations: [] Exploring Operation: 96/2=48, Resulting Numbers: [39, 6, 48] Generated Node #2: [39, 6, 48] from Operation: 96/2=48 Current State: 47:[39, 6, 48], Operations: ['96/2=48'] Exploring Operation: 48/6=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 48/6=8 Current State: 47:[39, 8], Operations: ['96/2=48', '48/6=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 7, 24, 63 ]
11
[ "69+7=76", "24+63=87", "87-76=11" ]
Current State: 11:[69, 7, 24, 63], Operations: [] Exploring Operation: 69+7=76, Resulting Numbers: [24, 63, 76] Generated Node #2: [24, 63, 76] from Operation: 69+7=76 Current State: 11:[24, 63, 76], Operations: ['69+7=76'] Exploring Operation: 24+63=87, Resulting Numbers: [76, 87] Generated Node #3: [76, 87] from Operation: 24+63=87 Current State: 11:[76, 87], Operations: ['69+7=76', '24+63=87'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 18, 75, 90, 12 ]
40
[ "75*12=900", "900/18=50", "90-50=40" ]
Current State: 40:[18, 75, 90, 12], Operations: [] Exploring Operation: 75*12=900, Resulting Numbers: [18, 90, 900] Generated Node #2: [18, 90, 900] from Operation: 75*12=900 Current State: 40:[18, 90, 900], Operations: ['75*12=900'] Exploring Operation: 900/18=50, Resulting Numbers: [90, 50] Generated Node #3: [90, 50] from Operation: 900/18=50 Current State: 40:[90, 50], Operations: ['75*12=900', '900/18=50'] Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 44, 6, 49, 83 ]
72
[ "44-6=38", "83-49=34", "38+34=72" ]
Current State: 72:[44, 6, 49, 83], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [49, 83, 38] Generated Node #2: [49, 83, 38] from Operation: 44-6=38 Current State: 72:[49, 83, 38], Operations: ['44-6=38'] Exploring Operation: 83-49=34, Resulting Numbers: [38, 34] Generated Node #3: [38, 34] from Operation: 83-49=34 Current State: 72:[38, 34], Operations: ['44-6=38', '83-49=34'] Exploring Operation: 38+34=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 53, 16, 2 ]
35
[ "60-16=44", "2*44=88", "88-53=35" ]
Current State: 35:[60, 53, 16, 2], Operations: [] Exploring Operation: 60-16=44, Resulting Numbers: [53, 2, 44] Generated Node #2: [53, 2, 44] from Operation: 60-16=44 Current State: 35:[53, 2, 44], Operations: ['60-16=44'] Exploring Operation: 2*44=88, Resulting Numbers: [53, 88] Generated Node #3: [53, 88] from Operation: 2*44=88 Current State: 35:[53, 88], Operations: ['60-16=44', '2*44=88'] Exploring Operation: 88-53=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 27, 30, 3 ]
81
[ "27/9=3", "30-3=27", "3*27=81" ]
Current State: 81:[9, 27, 30, 3], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [30, 3, 3] Generated Node #2: [30, 3, 3] from Operation: 27/9=3 Current State: 81:[30, 3, 3], Operations: ['27/9=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,81 equal: Goal Reached Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 45, 47, 14, 11 ]
18
[ "47-45=2", "14/2=7", "11+7=18" ]
Current State: 18:[45, 47, 14, 11], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [14, 11, 2] Generated Node #2: [14, 11, 2] from Operation: 47-45=2 Current State: 18:[14, 11, 2], Operations: ['47-45=2'] Exploring Operation: 14/2=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 14/2=7 Current State: 18:[11, 7], Operations: ['47-45=2', '14/2=7'] Exploring Operation: 11+7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 41, 89, 14, 28 ]
96
[ "89-41=48", "28/14=2", "48*2=96" ]
Current State: 96:[41, 89, 14, 28], Operations: [] Exploring Operation: 89-41=48, Resulting Numbers: [14, 28, 48] Generated Node #2: [14, 28, 48] from Operation: 89-41=48 Current State: 96:[14, 28, 48], Operations: ['89-41=48'] Exploring Operation: 28/14=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 28/14=2 Current State: 96:[48, 2], Operations: ['89-41=48', '28/14=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 69, 62, 91, 34 ]
21
[ "69-62=7", "91/7=13", "34-13=21" ]
Current State: 21:[69, 62, 91, 34], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [91, 34, 7] Generated Node #2: [91, 34, 7] from Operation: 69-62=7 Current State: 21:[91, 34, 7], Operations: ['69-62=7'] Exploring Operation: 91/7=13, Resulting Numbers: [34, 13] Generated Node #3: [34, 13] from Operation: 91/7=13 Current State: 21:[34, 13], Operations: ['69-62=7', '91/7=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 76, 36, 99, 42 ]
97
[ "76-36=40", "99-42=57", "40+57=97" ]
Current State: 97:[76, 36, 99, 42], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [99, 42, 40] Generated Node #2: [99, 42, 40] from Operation: 76-36=40 Current State: 97:[99, 42, 40], Operations: ['76-36=40'] Exploring Operation: 99-42=57, Resulting Numbers: [40, 57] Generated Node #3: [40, 57] from Operation: 99-42=57 Current State: 97:[40, 57], Operations: ['76-36=40', '99-42=57'] Exploring Operation: 40+57=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 91, 18, 48 ]
93
[ "57-48=9", "18/9=2", "91+2=93" ]
Current State: 93:[57, 91, 18, 48], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [91, 18, 9] Generated Node #2: [91, 18, 9] from Operation: 57-48=9 Current State: 93:[91, 18, 9], Operations: ['57-48=9'] Exploring Operation: 18/9=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 18/9=2 Current State: 93:[91, 2], Operations: ['57-48=9', '18/9=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 42, 35, 14, 7 ]
35
[ "42-35=7", "7*7=49", "49-14=35" ]
Current State: 35:[42, 35, 14, 7], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [14, 7, 7] Generated Node #2: [14, 7, 7] from Operation: 42-35=7 Current State: 35:[14, 7, 7], Operations: ['42-35=7'] Exploring Operation: 7*7=49, Resulting Numbers: [14, 49] Generated Node #3: [14, 49] from Operation: 7*7=49 Current State: 35:[14, 49], Operations: ['42-35=7', '7*7=49'] Exploring Operation: 49-14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 57, 3, 23, 52 ]
59
[ "3+23=26", "52/26=2", "57+2=59" ]
Current State: 59:[57, 3, 23, 52], Operations: [] Exploring Operation: 3+23=26, Resulting Numbers: [57, 52, 26] Generated Node #2: [57, 52, 26] from Operation: 3+23=26 Current State: 59:[57, 52, 26], Operations: ['3+23=26'] Exploring Operation: 52/26=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 52/26=2 Current State: 59:[57, 2], Operations: ['3+23=26', '52/26=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 16, 67, 6 ]
85
[ "8+16=24", "67-6=61", "24+61=85" ]
Current State: 85:[8, 16, 67, 6], Operations: [] Exploring Operation: 8+16=24, Resulting Numbers: [67, 6, 24] Generated Node #2: [67, 6, 24] from Operation: 8+16=24 Current State: 85:[67, 6, 24], Operations: ['8+16=24'] Exploring Operation: 67-6=61, Resulting Numbers: [24, 61] Generated Node #3: [24, 61] from Operation: 67-6=61 Current State: 85:[24, 61], Operations: ['8+16=24', '67-6=61'] Exploring Operation: 24+61=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 43, 80, 77 ]
45
[ "5+43=48", "80-77=3", "48-3=45" ]
Current State: 45:[5, 43, 80, 77], Operations: [] Exploring Operation: 5+43=48, Resulting Numbers: [80, 77, 48] Generated Node #2: [80, 77, 48] from Operation: 5+43=48 Current State: 45:[80, 77, 48], Operations: ['5+43=48'] Exploring Operation: 80-77=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 80-77=3 Current State: 45:[48, 3], Operations: ['5+43=48', '80-77=3'] Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 45, 96, 36, 60 ]
85
[ "96-45=51", "60*51=3060", "3060/36=85" ]
Current State: 85:[45, 96, 36, 60], Operations: [] Exploring Operation: 96-45=51, Resulting Numbers: [36, 60, 51] Generated Node #2: [36, 60, 51] from Operation: 96-45=51 Current State: 85:[36, 60, 51], Operations: ['96-45=51'] Exploring Operation: 60*51=3060, Resulting Numbers: [36, 3060] Generated Node #3: [36, 3060] from Operation: 60*51=3060 Current State: 85:[36, 3060], Operations: ['96-45=51', '60*51=3060'] Exploring Operation: 3060/36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 70, 29, 87 ]
53
[ "70-7=63", "29+87=116", "116-63=53" ]
Current State: 53:[7, 70, 29, 87], Operations: [] Exploring Operation: 70-7=63, Resulting Numbers: [29, 87, 63] Generated Node #2: [29, 87, 63] from Operation: 70-7=63 Current State: 53:[29, 87, 63], Operations: ['70-7=63'] Exploring Operation: 29+87=116, Resulting Numbers: [63, 116] Generated Node #3: [63, 116] from Operation: 29+87=116 Current State: 53:[63, 116], Operations: ['70-7=63', '29+87=116'] Exploring Operation: 116-63=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 9, 75, 16 ]
81
[ "75-68=7", "16-7=9", "9*9=81" ]
Current State: 81:[68, 9, 75, 16], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [9, 16, 7] Generated Node #2: [9, 16, 7] from Operation: 75-68=7 Current State: 81:[9, 16, 7], Operations: ['75-68=7'] Exploring Operation: 16-7=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 16-7=9 Current State: 81:[9, 9], Operations: ['75-68=7', '16-7=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 91, 14, 52 ]
39
[ "98/14=7", "91/7=13", "52-13=39" ]
Current State: 39:[98, 91, 14, 52], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [91, 52, 7] Generated Node #2: [91, 52, 7] from Operation: 98/14=7 Current State: 39:[91, 52, 7], Operations: ['98/14=7'] Exploring Operation: 91/7=13, Resulting Numbers: [52, 13] Generated Node #3: [52, 13] from Operation: 91/7=13 Current State: 39:[52, 13], Operations: ['98/14=7', '91/7=13'] Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 85, 49, 5, 9 ]
77
[ "49-9=40", "40/5=8", "85-8=77" ]
Current State: 77:[85, 49, 5, 9], Operations: [] Exploring Operation: 49-9=40, Resulting Numbers: [85, 5, 40] Generated Node #2: [85, 5, 40] from Operation: 49-9=40 Current State: 77:[85, 5, 40], Operations: ['49-9=40'] Exploring Operation: 40/5=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 40/5=8 Current State: 77:[85, 8], Operations: ['49-9=40', '40/5=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 6, 18, 2, 6 ]
18
[ "6+18=24", "24/2=12", "6+12=18" ]
Current State: 18:[6, 18, 2, 6], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [2, 24] Generated Node #2: [2, 24] from Operation: 6+18=24 Current State: 18:[2, 24], Operations: ['6+18=24'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,18 equal: Goal Reached Exploring Operation: 6+12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 57, 3, 3, 14 ]
62
[ "57+14=71", "3*3=9", "71-9=62" ]
Current State: 62:[57, 3, 3, 14], Operations: [] Exploring Operation: 57+14=71, Resulting Numbers: [3, 3, 71] Generated Node #2: [3, 3, 71] from Operation: 57+14=71 Current State: 62:[3, 3, 71], Operations: ['57+14=71'] Exploring Operation: 3*3=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 3*3=9 Current State: 62:[71, 9], Operations: ['57+14=71', '3*3=9'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 84, 46, 3 ]
71
[ "84-9=75", "75/3=25", "46+25=71" ]
Current State: 71:[9, 84, 46, 3], Operations: [] Exploring Operation: 84-9=75, Resulting Numbers: [46, 3, 75] Generated Node #2: [46, 3, 75] from Operation: 84-9=75 Current State: 71:[46, 3, 75], Operations: ['84-9=75'] Exploring Operation: 75/3=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 75/3=25 Current State: 71:[46, 25], Operations: ['84-9=75', '75/3=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 91, 56, 40 ]
33
[ "91*40=3640", "3640/56=65", "65-32=33" ]
Current State: 33:[32, 91, 56, 40], Operations: [] Exploring Operation: 91*40=3640, Resulting Numbers: [32, 56, 3640] Generated Node #2: [32, 56, 3640] from Operation: 91*40=3640 Current State: 33:[32, 56, 3640], Operations: ['91*40=3640'] Exploring Operation: 3640/56=65, Resulting Numbers: [32, 65] Generated Node #3: [32, 65] from Operation: 3640/56=65 Current State: 33:[32, 65], Operations: ['91*40=3640', '3640/56=65'] Exploring Operation: 65-32=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 24, 26, 81 ]
28
[ "93-81=12", "24/12=2", "26+2=28" ]
Current State: 28:[93, 24, 26, 81], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [24, 26, 12] Generated Node #2: [24, 26, 12] from Operation: 93-81=12 Current State: 28:[24, 26, 12], Operations: ['93-81=12'] Exploring Operation: 24/12=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 24/12=2 Current State: 28:[26, 2], Operations: ['93-81=12', '24/12=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 56, 87, 28 ]
85
[ "56-30=26", "87-28=59", "26+59=85" ]
Current State: 85:[30, 56, 87, 28], Operations: [] Exploring Operation: 56-30=26, Resulting Numbers: [87, 28, 26] Generated Node #2: [87, 28, 26] from Operation: 56-30=26 Current State: 85:[87, 28, 26], Operations: ['56-30=26'] Exploring Operation: 87-28=59, Resulting Numbers: [26, 59] Generated Node #3: [26, 59] from Operation: 87-28=59 Current State: 85:[26, 59], Operations: ['56-30=26', '87-28=59'] Exploring Operation: 26+59=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 85, 86, 54 ]
100
[ "85-45=40", "86+54=140", "140-40=100" ]
Current State: 100:[45, 85, 86, 54], Operations: [] Exploring Operation: 85-45=40, Resulting Numbers: [86, 54, 40] Generated Node #2: [86, 54, 40] from Operation: 85-45=40 Current State: 100:[86, 54, 40], Operations: ['85-45=40'] Exploring Operation: 86+54=140, Resulting Numbers: [40, 140] Generated Node #3: [40, 140] from Operation: 86+54=140 Current State: 100:[40, 140], Operations: ['85-45=40', '86+54=140'] Exploring Operation: 140-40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 32, 30, 99, 19 ]
41
[ "30-19=11", "99/11=9", "32+9=41" ]
Current State: 41:[32, 30, 99, 19], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [32, 99, 11] Generated Node #2: [32, 99, 11] from Operation: 30-19=11 Current State: 41:[32, 99, 11], Operations: ['30-19=11'] Exploring Operation: 99/11=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 99/11=9 Current State: 41:[32, 9], Operations: ['30-19=11', '99/11=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 74, 32, 4, 36 ]
30
[ "74-36=38", "32/4=8", "38-8=30" ]
Current State: 30:[74, 32, 4, 36], Operations: [] Exploring Operation: 74-36=38, Resulting Numbers: [32, 4, 38] Generated Node #2: [32, 4, 38] from Operation: 74-36=38 Current State: 30:[32, 4, 38], Operations: ['74-36=38'] Exploring Operation: 32/4=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 32/4=8 Current State: 30:[38, 8], Operations: ['74-36=38', '32/4=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 55, 2, 83 ]
60
[ "58+55=113", "113-83=30", "2*30=60" ]
Current State: 60:[58, 55, 2, 83], Operations: [] Exploring Operation: 58+55=113, Resulting Numbers: [2, 83, 113] Generated Node #2: [2, 83, 113] from Operation: 58+55=113 Current State: 60:[2, 83, 113], Operations: ['58+55=113'] Exploring Operation: 113-83=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 113-83=30 Current State: 60:[2, 30], Operations: ['58+55=113', '113-83=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 96, 21, 12 ]
79
[ "96-12=84", "84/21=4", "75+4=79" ]
Current State: 79:[75, 96, 21, 12], Operations: [] Exploring Operation: 96-12=84, Resulting Numbers: [75, 21, 84] Generated Node #2: [75, 21, 84] from Operation: 96-12=84 Current State: 79:[75, 21, 84], Operations: ['96-12=84'] Exploring Operation: 84/21=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 84/21=4 Current State: 79:[75, 4], Operations: ['96-12=84', '84/21=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 79, 21, 62 ]
42
[ "4+79=83", "62-21=41", "83-41=42" ]
Current State: 42:[4, 79, 21, 62], Operations: [] Exploring Operation: 4+79=83, Resulting Numbers: [21, 62, 83] Generated Node #2: [21, 62, 83] from Operation: 4+79=83 Current State: 42:[21, 62, 83], Operations: ['4+79=83'] Exploring Operation: 62-21=41, Resulting Numbers: [83, 41] Generated Node #3: [83, 41] from Operation: 62-21=41 Current State: 42:[83, 41], Operations: ['4+79=83', '62-21=41'] Exploring Operation: 83-41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 28, 39, 10 ]
73
[ "18*39=702", "28+702=730", "730/10=73" ]
Current State: 73:[18, 28, 39, 10], Operations: [] Exploring Operation: 18*39=702, Resulting Numbers: [28, 10, 702] Generated Node #2: [28, 10, 702] from Operation: 18*39=702 Current State: 73:[28, 10, 702], Operations: ['18*39=702'] Exploring Operation: 28+702=730, Resulting Numbers: [10, 730] Generated Node #3: [10, 730] from Operation: 28+702=730 Current State: 73:[10, 730], Operations: ['18*39=702', '28+702=730'] Exploring Operation: 730/10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 13, 1, 2, 21 ]
49
[ "13+1=14", "2*14=28", "21+28=49" ]
Current State: 49:[13, 1, 2, 21], Operations: [] Exploring Operation: 13+1=14, Resulting Numbers: [2, 21, 14] Generated Node #2: [2, 21, 14] from Operation: 13+1=14 Current State: 49:[2, 21, 14], Operations: ['13+1=14'] Exploring Operation: 2*14=28, Resulting Numbers: [21, 28] Generated Node #3: [21, 28] from Operation: 2*14=28 Current State: 49:[21, 28], Operations: ['13+1=14', '2*14=28'] Exploring Operation: 21+28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 10, 65, 64, 2 ]
21
[ "10*2=20", "65-64=1", "20+1=21" ]
Current State: 21:[10, 65, 64, 2], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [65, 64, 20] Generated Node #2: [65, 64, 20] from Operation: 10*2=20 Current State: 21:[65, 64, 20], Operations: ['10*2=20'] Exploring Operation: 65-64=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 65-64=1 Current State: 21:[20, 1], Operations: ['10*2=20', '65-64=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 75, 3, 81, 24 ]
94
[ "81-24=57", "57/3=19", "75+19=94" ]
Current State: 94:[75, 3, 81, 24], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [75, 3, 57] Generated Node #2: [75, 3, 57] from Operation: 81-24=57 Current State: 94:[75, 3, 57], Operations: ['81-24=57'] Exploring Operation: 57/3=19, Resulting Numbers: [75, 19] Generated Node #3: [75, 19] from Operation: 57/3=19 Current State: 94:[75, 19], Operations: ['81-24=57', '57/3=19'] Exploring Operation: 75+19=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 62, 31, 78, 62 ]
47
[ "62+31=93", "78+62=140", "140-93=47" ]
Current State: 47:[62, 31, 78, 62], Operations: [] Exploring Operation: 62+31=93, Resulting Numbers: [78, 93] Generated Node #2: [78, 93] from Operation: 62+31=93 Current State: 47:[78, 93], Operations: ['62+31=93'] Exploring Operation: 78+62=140, Resulting Numbers: [93, 140] Generated Node #3: [93, 140] from Operation: 78+62=140 Current State: 47:[93, 140], Operations: ['62+31=93', '78+62=140'] Exploring Operation: 140-93=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 79, 81, 24 ]
61
[ "87+79=166", "81+24=105", "166-105=61" ]
Current State: 61:[87, 79, 81, 24], Operations: [] Exploring Operation: 87+79=166, Resulting Numbers: [81, 24, 166] Generated Node #2: [81, 24, 166] from Operation: 87+79=166 Current State: 61:[81, 24, 166], Operations: ['87+79=166'] Exploring Operation: 81+24=105, Resulting Numbers: [166, 105] Generated Node #3: [166, 105] from Operation: 81+24=105 Current State: 61:[166, 105], Operations: ['87+79=166', '81+24=105'] Exploring Operation: 166-105=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 29, 86, 83 ]
18
[ "50-29=21", "86-83=3", "21-3=18" ]
Current State: 18:[50, 29, 86, 83], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [86, 83, 21] Generated Node #2: [86, 83, 21] from Operation: 50-29=21 Current State: 18:[86, 83, 21], Operations: ['50-29=21'] Exploring Operation: 86-83=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 86-83=3 Current State: 18:[21, 3], Operations: ['50-29=21', '86-83=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 33, 96, 12 ]
28
[ "33-12=21", "96*21=2016", "2016/72=28" ]
Current State: 28:[72, 33, 96, 12], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [72, 96, 21] Generated Node #2: [72, 96, 21] from Operation: 33-12=21 Current State: 28:[72, 96, 21], Operations: ['33-12=21'] Exploring Operation: 96*21=2016, Resulting Numbers: [72, 2016] Generated Node #3: [72, 2016] from Operation: 96*21=2016 Current State: 28:[72, 2016], Operations: ['33-12=21', '96*21=2016'] Exploring Operation: 2016/72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 31, 37, 74, 14 ]
59
[ "74/37=2", "14*2=28", "31+28=59" ]
Current State: 59:[31, 37, 74, 14], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [31, 14, 2] Generated Node #2: [31, 14, 2] from Operation: 74/37=2 Current State: 59:[31, 14, 2], Operations: ['74/37=2'] Exploring Operation: 14*2=28, Resulting Numbers: [31, 28] Generated Node #3: [31, 28] from Operation: 14*2=28 Current State: 59:[31, 28], Operations: ['74/37=2', '14*2=28'] Exploring Operation: 31+28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 27, 2, 67, 28 ]
79
[ "27+28=55", "2*67=134", "134-55=79" ]
Current State: 79:[27, 2, 67, 28], Operations: [] Exploring Operation: 27+28=55, Resulting Numbers: [2, 67, 55] Generated Node #2: [2, 67, 55] from Operation: 27+28=55 Current State: 79:[2, 67, 55], Operations: ['27+28=55'] Exploring Operation: 2*67=134, Resulting Numbers: [55, 134] Generated Node #3: [55, 134] from Operation: 2*67=134 Current State: 79:[55, 134], Operations: ['27+28=55', '2*67=134'] Exploring Operation: 134-55=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 43, 10, 48, 34 ]
17
[ "48-43=5", "10/5=2", "34/2=17" ]
Current State: 17:[43, 10, 48, 34], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [10, 34, 5] Generated Node #2: [10, 34, 5] from Operation: 48-43=5 Current State: 17:[10, 34, 5], Operations: ['48-43=5'] Exploring Operation: 10/5=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 10/5=2 Current State: 17:[34, 2], Operations: ['48-43=5', '10/5=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 63, 36, 31 ]
59
[ "1+63=64", "36-31=5", "64-5=59" ]
Current State: 59:[1, 63, 36, 31], Operations: [] Exploring Operation: 1+63=64, Resulting Numbers: [36, 31, 64] Generated Node #2: [36, 31, 64] from Operation: 1+63=64 Current State: 59:[36, 31, 64], Operations: ['1+63=64'] Exploring Operation: 36-31=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 36-31=5 Current State: 59:[64, 5], Operations: ['1+63=64', '36-31=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 91, 26, 15 ]
79
[ "91-23=68", "26-15=11", "68+11=79" ]
Current State: 79:[23, 91, 26, 15], Operations: [] Exploring Operation: 91-23=68, Resulting Numbers: [26, 15, 68] Generated Node #2: [26, 15, 68] from Operation: 91-23=68 Current State: 79:[26, 15, 68], Operations: ['91-23=68'] Exploring Operation: 26-15=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 26-15=11 Current State: 79:[68, 11], Operations: ['91-23=68', '26-15=11'] Exploring Operation: 68+11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 37, 72, 2, 26 ]
86
[ "72+26=98", "98/2=49", "37+49=86" ]
Current State: 86:[37, 72, 2, 26], Operations: [] Exploring Operation: 72+26=98, Resulting Numbers: [37, 2, 98] Generated Node #2: [37, 2, 98] from Operation: 72+26=98 Current State: 86:[37, 2, 98], Operations: ['72+26=98'] Exploring Operation: 98/2=49, Resulting Numbers: [37, 49] Generated Node #3: [37, 49] from Operation: 98/2=49 Current State: 86:[37, 49], Operations: ['72+26=98', '98/2=49'] Exploring Operation: 37+49=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4