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
[ 25, 69, 65, 76 ]
97
[ "69-25=44", "65+76=141", "141-44=97" ]
Current State: 97:[25, 69, 65, 76], Operations: [] Exploring Operation: 69-25=44, Resulting Numbers: [65, 76, 44] Generated Node #2: [65, 76, 44] from Operation: 69-25=44 Current State: 97:[65, 76, 44], Operations: ['69-25=44'] Exploring Operation: 65+76=141, Resulting Numbers: [44, 141] Generated Node #3: [44, 141] from Operation: 65+76=141 Current State: 97:[44, 141], Operations: ['69-25=44', '65+76=141'] Exploring Operation: 141-44=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 65, 72, 22 ]
37
[ "66+65=131", "72+22=94", "131-94=37" ]
Current State: 37:[66, 65, 72, 22], Operations: [] Exploring Operation: 66+65=131, Resulting Numbers: [72, 22, 131] Generated Node #2: [72, 22, 131] from Operation: 66+65=131 Current State: 37:[72, 22, 131], Operations: ['66+65=131'] Exploring Operation: 72+22=94, Resulting Numbers: [131, 94] Generated Node #3: [131, 94] from Operation: 72+22=94 Current State: 37:[131, 94], Operations: ['66+65=131', '72+22=94'] Exploring Operation: 131-94=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 88, 32, 93 ]
73
[ "46+88=134", "93-32=61", "134-61=73" ]
Current State: 73:[46, 88, 32, 93], Operations: [] Exploring Operation: 46+88=134, Resulting Numbers: [32, 93, 134] Generated Node #2: [32, 93, 134] from Operation: 46+88=134 Current State: 73:[32, 93, 134], Operations: ['46+88=134'] Exploring Operation: 93-32=61, Resulting Numbers: [134, 61] Generated Node #3: [134, 61] from Operation: 93-32=61 Current State: 73:[134, 61], Operations: ['46+88=134', '93-32=61'] Exploring Operation: 134-61=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 37, 87, 16, 43 ]
97
[ "37+87=124", "43-16=27", "124-27=97" ]
Current State: 97:[37, 87, 16, 43], Operations: [] Exploring Operation: 37+87=124, Resulting Numbers: [16, 43, 124] Generated Node #2: [16, 43, 124] from Operation: 37+87=124 Current State: 97:[16, 43, 124], Operations: ['37+87=124'] Exploring Operation: 43-16=27, Resulting Numbers: [124, 27] Generated Node #3: [124, 27] from Operation: 43-16=27 Current State: 97:[124, 27], Operations: ['37+87=124', '43-16=27'] Exploring Operation: 124-27=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 15, 18, 58, 77 ]
97
[ "18-15=3", "58*3=174", "174-77=97" ]
Current State: 97:[15, 18, 58, 77], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [58, 77, 3] Generated Node #2: [58, 77, 3] from Operation: 18-15=3 Current State: 97:[58, 77, 3], Operations: ['18-15=3'] Exploring Operation: 58*3=174, Resulting Numbers: [77, 174] Generated Node #3: [77, 174] from Operation: 58*3=174 Current State: 97:[77, 174], Operations: ['18-15=3', '58*3=174'] Exploring Operation: 174-77=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 8, 65, 86, 92 ]
76
[ "86-65=21", "8*21=168", "168-92=76" ]
Current State: 76:[8, 65, 86, 92], Operations: [] Exploring Operation: 86-65=21, Resulting Numbers: [8, 92, 21] Generated Node #2: [8, 92, 21] from Operation: 86-65=21 Current State: 76:[8, 92, 21], Operations: ['86-65=21'] Exploring Operation: 8*21=168, Resulting Numbers: [92, 168] Generated Node #3: [92, 168] from Operation: 8*21=168 Current State: 76:[92, 168], Operations: ['86-65=21', '8*21=168'] Exploring Operation: 168-92=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 41, 25, 3 ]
36
[ "41-4=37", "37-25=12", "3*12=36" ]
Current State: 36:[4, 41, 25, 3], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [25, 3, 37] Generated Node #2: [25, 3, 37] from Operation: 41-4=37 Current State: 36:[25, 3, 37], Operations: ['41-4=37'] Exploring Operation: 37-25=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 37-25=12 Current State: 36:[3, 12], Operations: ['41-4=37', '37-25=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 42, 96, 54 ]
100
[ "54-42=12", "48/12=4", "96+4=100" ]
Current State: 100:[48, 42, 96, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [48, 96, 12] Generated Node #2: [48, 96, 12] from Operation: 54-42=12 Current State: 100:[48, 96, 12], Operations: ['54-42=12'] Exploring Operation: 48/12=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 48/12=4 Current State: 100:[96, 4], Operations: ['54-42=12', '48/12=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 49, 2, 25 ]
83
[ "40-25=15", "49*2=98", "98-15=83" ]
Current State: 83:[40, 49, 2, 25], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [49, 2, 15] Generated Node #2: [49, 2, 15] from Operation: 40-25=15 Current State: 83:[49, 2, 15], Operations: ['40-25=15'] Exploring Operation: 49*2=98, Resulting Numbers: [15, 98] Generated Node #3: [15, 98] from Operation: 49*2=98 Current State: 83:[15, 98], Operations: ['40-25=15', '49*2=98'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 74, 65, 88 ]
83
[ "88-86=2", "74*2=148", "148-65=83" ]
Current State: 83:[86, 74, 65, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [74, 65, 2] Generated Node #2: [74, 65, 2] from Operation: 88-86=2 Current State: 83:[74, 65, 2], Operations: ['88-86=2'] Exploring Operation: 74*2=148, Resulting Numbers: [65, 148] Generated Node #3: [65, 148] from Operation: 74*2=148 Current State: 83:[65, 148], Operations: ['88-86=2', '74*2=148'] Exploring Operation: 148-65=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 91, 86, 17 ]
23
[ "91-45=46", "86-17=69", "69-46=23" ]
Current State: 23:[45, 91, 86, 17], Operations: [] Exploring Operation: 91-45=46, Resulting Numbers: [86, 17, 46] Generated Node #2: [86, 17, 46] from Operation: 91-45=46 Current State: 23:[86, 17, 46], Operations: ['91-45=46'] Exploring Operation: 86-17=69, Resulting Numbers: [46, 69] Generated Node #3: [46, 69] from Operation: 86-17=69 Current State: 23:[46, 69], Operations: ['91-45=46', '86-17=69'] Exploring Operation: 69-46=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 4, 2, 58 ]
25
[ "4+58=62", "62/2=31", "56-31=25" ]
Current State: 25:[56, 4, 2, 58], Operations: [] Exploring Operation: 4+58=62, Resulting Numbers: [56, 2, 62] Generated Node #2: [56, 2, 62] from Operation: 4+58=62 Current State: 25:[56, 2, 62], Operations: ['4+58=62'] Exploring Operation: 62/2=31, Resulting Numbers: [56, 31] Generated Node #3: [56, 31] from Operation: 62/2=31 Current State: 25:[56, 31], Operations: ['4+58=62', '62/2=31'] Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 10, 10, 41 ]
100
[ "79-10=69", "41-10=31", "69+31=100" ]
Current State: 100:[79, 10, 10, 41], Operations: [] Exploring Operation: 79-10=69, Resulting Numbers: [41, 69] Generated Node #2: [41, 69] from Operation: 79-10=69 Current State: 100:[41, 69], Operations: ['79-10=69'] Exploring Operation: 41-10=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 41-10=31 Current State: 100:[69, 31], Operations: ['79-10=69', '41-10=31'] Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 24, 67, 91, 50 ]
49
[ "24+67=91", "91/91=1", "50-1=49" ]
Current State: 49:[24, 67, 91, 50], Operations: [] Exploring Operation: 24+67=91, Resulting Numbers: [91, 50, 91] Generated Node #2: [91, 50, 91] from Operation: 24+67=91 Current State: 49:[91, 50, 91], Operations: ['24+67=91'] Exploring Operation: 91/91=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 91/91=1 Current State: 49:[50, 1], Operations: ['24+67=91', '91/91=1'] Exploring Operation: 50-1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 74, 38, 72, 64 ]
24
[ "74+38=112", "72+64=136", "136-112=24" ]
Current State: 24:[74, 38, 72, 64], Operations: [] Exploring Operation: 74+38=112, Resulting Numbers: [72, 64, 112] Generated Node #2: [72, 64, 112] from Operation: 74+38=112 Current State: 24:[72, 64, 112], Operations: ['74+38=112'] Exploring Operation: 72+64=136, Resulting Numbers: [112, 136] Generated Node #3: [112, 136] from Operation: 72+64=136 Current State: 24:[112, 136], Operations: ['74+38=112', '72+64=136'] Exploring Operation: 136-112=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 42, 49, 9, 46 ]
30
[ "49-42=7", "46-9=37", "37-7=30" ]
Current State: 30:[42, 49, 9, 46], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [9, 46, 7] Generated Node #2: [9, 46, 7] from Operation: 49-42=7 Current State: 30:[9, 46, 7], Operations: ['49-42=7'] Exploring Operation: 46-9=37, Resulting Numbers: [7, 37] Generated Node #3: [7, 37] from Operation: 46-9=37 Current State: 30:[7, 37], Operations: ['49-42=7', '46-9=37'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 28, 1, 30, 82 ]
83
[ "28+1=29", "30+82=112", "112-29=83" ]
Current State: 83:[28, 1, 30, 82], Operations: [] Exploring Operation: 28+1=29, Resulting Numbers: [30, 82, 29] Generated Node #2: [30, 82, 29] from Operation: 28+1=29 Current State: 83:[30, 82, 29], Operations: ['28+1=29'] Exploring Operation: 30+82=112, Resulting Numbers: [29, 112] Generated Node #3: [29, 112] from Operation: 30+82=112 Current State: 83:[29, 112], Operations: ['28+1=29', '30+82=112'] Exploring Operation: 112-29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 18, 48, 88, 21 ]
12
[ "18*88=1584", "1584/48=33", "33-21=12" ]
Current State: 12:[18, 48, 88, 21], Operations: [] Exploring Operation: 18*88=1584, Resulting Numbers: [48, 21, 1584] Generated Node #2: [48, 21, 1584] from Operation: 18*88=1584 Current State: 12:[48, 21, 1584], Operations: ['18*88=1584'] Exploring Operation: 1584/48=33, Resulting Numbers: [21, 33] Generated Node #3: [21, 33] from Operation: 1584/48=33 Current State: 12:[21, 33], Operations: ['18*88=1584', '1584/48=33'] Exploring Operation: 33-21=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 95, 15, 4 ]
99
[ "1+15=16", "16/4=4", "95+4=99" ]
Current State: 99:[1, 95, 15, 4], Operations: [] Exploring Operation: 1+15=16, Resulting Numbers: [95, 4, 16] Generated Node #2: [95, 4, 16] from Operation: 1+15=16 Current State: 99:[95, 4, 16], Operations: ['1+15=16'] Exploring Operation: 16/4=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 16/4=4 Current State: 99:[95, 4], Operations: ['1+15=16', '16/4=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 35, 56, 44 ]
12
[ "20*56=1120", "1120/35=32", "44-32=12" ]
Current State: 12:[20, 35, 56, 44], Operations: [] Exploring Operation: 20*56=1120, Resulting Numbers: [35, 44, 1120] Generated Node #2: [35, 44, 1120] from Operation: 20*56=1120 Current State: 12:[35, 44, 1120], Operations: ['20*56=1120'] Exploring Operation: 1120/35=32, Resulting Numbers: [44, 32] Generated Node #3: [44, 32] from Operation: 1120/35=32 Current State: 12:[44, 32], Operations: ['20*56=1120', '1120/35=32'] Exploring Operation: 44-32=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 69, 24, 26, 72 ]
54
[ "72-69=3", "26*3=78", "78-24=54" ]
Current State: 54:[69, 24, 26, 72], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [24, 26, 3] Generated Node #2: [24, 26, 3] from Operation: 72-69=3 Current State: 54:[24, 26, 3], Operations: ['72-69=3'] Exploring Operation: 26*3=78, Resulting Numbers: [24, 78] Generated Node #3: [24, 78] from Operation: 26*3=78 Current State: 54:[24, 78], Operations: ['72-69=3', '26*3=78'] Exploring Operation: 78-24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 4, 35, 72 ]
99
[ "4+4=8", "35+72=107", "107-8=99" ]
Current State: 99:[4, 4, 35, 72], Operations: [] Exploring Operation: 4+4=8, Resulting Numbers: [35, 72, 8] Generated Node #2: [35, 72, 8] from Operation: 4+4=8 Current State: 99:[35, 72, 8], Operations: ['4+4=8'] Exploring Operation: 35+72=107, Resulting Numbers: [8, 107] Generated Node #3: [8, 107] from Operation: 35+72=107 Current State: 99:[8, 107], Operations: ['4+4=8', '35+72=107'] Exploring Operation: 107-8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 70, 54, 22 ]
58
[ "54-22=32", "4*32=128", "128-70=58" ]
Current State: 58:[4, 70, 54, 22], Operations: [] Exploring Operation: 54-22=32, Resulting Numbers: [4, 70, 32] Generated Node #2: [4, 70, 32] from Operation: 54-22=32 Current State: 58:[4, 70, 32], Operations: ['54-22=32'] Exploring Operation: 4*32=128, Resulting Numbers: [70, 128] Generated Node #3: [70, 128] from Operation: 4*32=128 Current State: 58:[70, 128], Operations: ['54-22=32', '4*32=128'] Exploring Operation: 128-70=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 4, 16, 94 ]
18
[ "19*16=304", "304/4=76", "94-76=18" ]
Current State: 18:[19, 4, 16, 94], Operations: [] Exploring Operation: 19*16=304, Resulting Numbers: [4, 94, 304] Generated Node #2: [4, 94, 304] from Operation: 19*16=304 Current State: 18:[4, 94, 304], Operations: ['19*16=304'] Exploring Operation: 304/4=76, Resulting Numbers: [94, 76] Generated Node #3: [94, 76] from Operation: 304/4=76 Current State: 18:[94, 76], Operations: ['19*16=304', '304/4=76'] Exploring Operation: 94-76=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 52, 26, 75, 41 ]
58
[ "52/26=2", "75+41=116", "116/2=58" ]
Current State: 58:[52, 26, 75, 41], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [75, 41, 2] Generated Node #2: [75, 41, 2] from Operation: 52/26=2 Current State: 58:[75, 41, 2], Operations: ['52/26=2'] Exploring Operation: 75+41=116, Resulting Numbers: [2, 116] Generated Node #3: [2, 116] from Operation: 75+41=116 Current State: 58:[2, 116], Operations: ['52/26=2', '75+41=116'] Exploring Operation: 116/2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 87, 25, 8 ]
37
[ "8/4=2", "25*2=50", "87-50=37" ]
Current State: 37:[4, 87, 25, 8], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [87, 25, 2] Generated Node #2: [87, 25, 2] from Operation: 8/4=2 Current State: 37:[87, 25, 2], Operations: ['8/4=2'] Exploring Operation: 25*2=50, Resulting Numbers: [87, 50] Generated Node #3: [87, 50] from Operation: 25*2=50 Current State: 37:[87, 50], Operations: ['8/4=2', '25*2=50'] Exploring Operation: 87-50=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 70, 91, 73, 43 ]
38
[ "73-70=3", "43*3=129", "129-91=38" ]
Current State: 38:[70, 91, 73, 43], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [91, 43, 3] Generated Node #2: [91, 43, 3] from Operation: 73-70=3 Current State: 38:[91, 43, 3], Operations: ['73-70=3'] Exploring Operation: 43*3=129, Resulting Numbers: [91, 129] Generated Node #3: [91, 129] from Operation: 43*3=129 Current State: 38:[91, 129], Operations: ['73-70=3', '43*3=129'] Exploring Operation: 129-91=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 11, 11, 44, 96 ]
99
[ "44-11=33", "33/11=3", "96+3=99" ]
Current State: 99:[11, 11, 44, 96], Operations: [] Exploring Operation: 44-11=33, Resulting Numbers: [96, 33] Generated Node #2: [96, 33] from Operation: 44-11=33 Current State: 99:[96, 33], Operations: ['44-11=33'] Exploring Operation: 33/11=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 33/11=3 Current State: 99:[96, 3], Operations: ['44-11=33', '33/11=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 76, 71, 76, 96 ]
15
[ "76-71=5", "96-76=20", "20-5=15" ]
Current State: 15:[76, 71, 76, 96], Operations: [] Exploring Operation: 76-71=5, Resulting Numbers: [96, 5] Generated Node #2: [96, 5] from Operation: 76-71=5 Current State: 15:[96, 5], Operations: ['76-71=5'] Exploring Operation: 96-76=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 96-76=20 Current State: 15:[5, 20], Operations: ['76-71=5', '96-76=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 81, 13, 85, 88 ]
71
[ "81-13=68", "88-85=3", "68+3=71" ]
Current State: 71:[81, 13, 85, 88], Operations: [] Exploring Operation: 81-13=68, Resulting Numbers: [85, 88, 68] Generated Node #2: [85, 88, 68] from Operation: 81-13=68 Current State: 71:[85, 88, 68], Operations: ['81-13=68'] Exploring Operation: 88-85=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 88-85=3 Current State: 71:[68, 3], Operations: ['81-13=68', '88-85=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 60, 45, 9, 92 ]
68
[ "60-45=15", "92-9=83", "83-15=68" ]
Current State: 68:[60, 45, 9, 92], Operations: [] Exploring Operation: 60-45=15, Resulting Numbers: [9, 92, 15] Generated Node #2: [9, 92, 15] from Operation: 60-45=15 Current State: 68:[9, 92, 15], Operations: ['60-45=15'] Exploring Operation: 92-9=83, Resulting Numbers: [15, 83] Generated Node #3: [15, 83] from Operation: 92-9=83 Current State: 68:[15, 83], Operations: ['60-45=15', '92-9=83'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 5, 15, 91, 81 ]
64
[ "15/5=3", "81/3=27", "91-27=64" ]
Current State: 64:[5, 15, 91, 81], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [91, 81, 3] Generated Node #2: [91, 81, 3] from Operation: 15/5=3 Current State: 64:[91, 81, 3], Operations: ['15/5=3'] Exploring Operation: 81/3=27, Resulting Numbers: [91, 27] Generated Node #3: [91, 27] from Operation: 81/3=27 Current State: 64:[91, 27], Operations: ['15/5=3', '81/3=27'] Exploring Operation: 91-27=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 99, 90, 27, 53 ]
50
[ "99-90=9", "27/9=3", "53-3=50" ]
Current State: 50:[99, 90, 27, 53], Operations: [] Exploring Operation: 99-90=9, Resulting Numbers: [27, 53, 9] Generated Node #2: [27, 53, 9] from Operation: 99-90=9 Current State: 50:[27, 53, 9], Operations: ['99-90=9'] Exploring Operation: 27/9=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 27/9=3 Current State: 50:[53, 3], Operations: ['99-90=9', '27/9=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 48, 5, 35 ]
36
[ "48+5=53", "53-35=18", "2*18=36" ]
Current State: 36:[2, 48, 5, 35], Operations: [] Exploring Operation: 48+5=53, Resulting Numbers: [2, 35, 53] Generated Node #2: [2, 35, 53] from Operation: 48+5=53 Current State: 36:[2, 35, 53], Operations: ['48+5=53'] Exploring Operation: 53-35=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 53-35=18 Current State: 36:[2, 18], Operations: ['48+5=53', '53-35=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 98, 3, 62, 17 ]
35
[ "98-17=81", "81/3=27", "62-27=35" ]
Current State: 35:[98, 3, 62, 17], Operations: [] Exploring Operation: 98-17=81, Resulting Numbers: [3, 62, 81] Generated Node #2: [3, 62, 81] from Operation: 98-17=81 Current State: 35:[3, 62, 81], Operations: ['98-17=81'] Exploring Operation: 81/3=27, Resulting Numbers: [62, 27] Generated Node #3: [62, 27] from Operation: 81/3=27 Current State: 35:[62, 27], Operations: ['98-17=81', '81/3=27'] Exploring Operation: 62-27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 65, 75, 81 ]
84
[ "65*75=4875", "81+4875=4956", "4956/59=84" ]
Current State: 84:[59, 65, 75, 81], Operations: [] Exploring Operation: 65*75=4875, Resulting Numbers: [59, 81, 4875] Generated Node #2: [59, 81, 4875] from Operation: 65*75=4875 Current State: 84:[59, 81, 4875], Operations: ['65*75=4875'] Exploring Operation: 81+4875=4956, Resulting Numbers: [59, 4956] Generated Node #3: [59, 4956] from Operation: 81+4875=4956 Current State: 84:[59, 4956], Operations: ['65*75=4875', '81+4875=4956'] Exploring Operation: 4956/59=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 41, 23, 2, 30 ]
46
[ "41-23=18", "30-2=28", "18+28=46" ]
Current State: 46:[41, 23, 2, 30], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [2, 30, 18] Generated Node #2: [2, 30, 18] from Operation: 41-23=18 Current State: 46:[2, 30, 18], Operations: ['41-23=18'] Exploring Operation: 30-2=28, Resulting Numbers: [18, 28] Generated Node #3: [18, 28] from Operation: 30-2=28 Current State: 46:[18, 28], Operations: ['41-23=18', '30-2=28'] Exploring Operation: 18+28=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 57, 21, 68 ]
54
[ "75-68=7", "21/7=3", "57-3=54" ]
Current State: 54:[75, 57, 21, 68], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [57, 21, 7] Generated Node #2: [57, 21, 7] from Operation: 75-68=7 Current State: 54:[57, 21, 7], Operations: ['75-68=7'] Exploring Operation: 21/7=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 21/7=3 Current State: 54:[57, 3], Operations: ['75-68=7', '21/7=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 37, 10, 36, 14 ]
69
[ "37+10=47", "36-14=22", "47+22=69" ]
Current State: 69:[37, 10, 36, 14], Operations: [] Exploring Operation: 37+10=47, Resulting Numbers: [36, 14, 47] Generated Node #2: [36, 14, 47] from Operation: 37+10=47 Current State: 69:[36, 14, 47], Operations: ['37+10=47'] Exploring Operation: 36-14=22, Resulting Numbers: [47, 22] Generated Node #3: [47, 22] from Operation: 36-14=22 Current State: 69:[47, 22], Operations: ['37+10=47', '36-14=22'] Exploring Operation: 47+22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 86, 1, 94 ]
13
[ "86-6=80", "94-1=93", "93-80=13" ]
Current State: 13:[6, 86, 1, 94], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [1, 94, 80] Generated Node #2: [1, 94, 80] from Operation: 86-6=80 Current State: 13:[1, 94, 80], Operations: ['86-6=80'] Exploring Operation: 94-1=93, Resulting Numbers: [80, 93] Generated Node #3: [80, 93] from Operation: 94-1=93 Current State: 13:[80, 93], Operations: ['86-6=80', '94-1=93'] Exploring Operation: 93-80=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 7, 63, 73 ]
80
[ "10*7=70", "73-63=10", "70+10=80" ]
Current State: 80:[10, 7, 63, 73], Operations: [] Exploring Operation: 10*7=70, Resulting Numbers: [63, 73, 70] Generated Node #2: [63, 73, 70] from Operation: 10*7=70 Current State: 80:[63, 73, 70], Operations: ['10*7=70'] Exploring Operation: 73-63=10, Resulting Numbers: [70, 10] Generated Node #3: [70, 10] from Operation: 73-63=10 Current State: 80:[70, 10], Operations: ['10*7=70', '73-63=10'] Exploring Operation: 70+10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 34, 25, 78 ]
12
[ "4*25=100", "34+78=112", "112-100=12" ]
Current State: 12:[4, 34, 25, 78], Operations: [] Exploring Operation: 4*25=100, Resulting Numbers: [34, 78, 100] Generated Node #2: [34, 78, 100] from Operation: 4*25=100 Current State: 12:[34, 78, 100], Operations: ['4*25=100'] Exploring Operation: 34+78=112, Resulting Numbers: [100, 112] Generated Node #3: [100, 112] from Operation: 34+78=112 Current State: 12:[100, 112], Operations: ['4*25=100', '34+78=112'] Exploring Operation: 112-100=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 80, 60, 76, 30 ]
51
[ "60+76=136", "30*136=4080", "4080/80=51" ]
Current State: 51:[80, 60, 76, 30], Operations: [] Exploring Operation: 60+76=136, Resulting Numbers: [80, 30, 136] Generated Node #2: [80, 30, 136] from Operation: 60+76=136 Current State: 51:[80, 30, 136], Operations: ['60+76=136'] Exploring Operation: 30*136=4080, Resulting Numbers: [80, 4080] Generated Node #3: [80, 4080] from Operation: 30*136=4080 Current State: 51:[80, 4080], Operations: ['60+76=136', '30*136=4080'] Exploring Operation: 4080/80=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 65, 27, 1, 54 ]
64
[ "65+1=66", "54/27=2", "66-2=64" ]
Current State: 64:[65, 27, 1, 54], Operations: [] Exploring Operation: 65+1=66, Resulting Numbers: [27, 54, 66] Generated Node #2: [27, 54, 66] from Operation: 65+1=66 Current State: 64:[27, 54, 66], Operations: ['65+1=66'] Exploring Operation: 54/27=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 54/27=2 Current State: 64:[66, 2], Operations: ['65+1=66', '54/27=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 4, 82, 73, 3 ]
16
[ "4+82=86", "73-3=70", "86-70=16" ]
Current State: 16:[4, 82, 73, 3], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [73, 3, 86] Generated Node #2: [73, 3, 86] from Operation: 4+82=86 Current State: 16:[73, 3, 86], Operations: ['4+82=86'] Exploring Operation: 73-3=70, Resulting Numbers: [86, 70] Generated Node #3: [86, 70] from Operation: 73-3=70 Current State: 16:[86, 70], Operations: ['4+82=86', '73-3=70'] Exploring Operation: 86-70=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 84, 86, 25, 36 ]
47
[ "86-84=2", "36*2=72", "72-25=47" ]
Current State: 47:[84, 86, 25, 36], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [25, 36, 2] Generated Node #2: [25, 36, 2] from Operation: 86-84=2 Current State: 47:[25, 36, 2], Operations: ['86-84=2'] Exploring Operation: 36*2=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 36*2=72 Current State: 47:[25, 72], Operations: ['86-84=2', '36*2=72'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 30, 30, 45, 82 ]
97
[ "30+30=60", "82-45=37", "60+37=97" ]
Current State: 97:[30, 30, 45, 82], Operations: [] Exploring Operation: 30+30=60, Resulting Numbers: [45, 82, 60] Generated Node #2: [45, 82, 60] from Operation: 30+30=60 Current State: 97:[45, 82, 60], Operations: ['30+30=60'] Exploring Operation: 82-45=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 82-45=37 Current State: 97:[60, 37], Operations: ['30+30=60', '82-45=37'] Exploring Operation: 60+37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 6, 52, 49, 35 ]
70
[ "6*35=210", "52-49=3", "210/3=70" ]
Current State: 70:[6, 52, 49, 35], Operations: [] Exploring Operation: 6*35=210, Resulting Numbers: [52, 49, 210] Generated Node #2: [52, 49, 210] from Operation: 6*35=210 Current State: 70:[52, 49, 210], Operations: ['6*35=210'] Exploring Operation: 52-49=3, Resulting Numbers: [210, 3] Generated Node #3: [210, 3] from Operation: 52-49=3 Current State: 70:[210, 3], Operations: ['6*35=210', '52-49=3'] Exploring Operation: 210/3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 16, 71, 40, 35 ]
57
[ "16*35=560", "560/40=14", "71-14=57" ]
Current State: 57:[16, 71, 40, 35], Operations: [] Exploring Operation: 16*35=560, Resulting Numbers: [71, 40, 560] Generated Node #2: [71, 40, 560] from Operation: 16*35=560 Current State: 57:[71, 40, 560], Operations: ['16*35=560'] Exploring Operation: 560/40=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 560/40=14 Current State: 57:[71, 14], Operations: ['16*35=560', '560/40=14'] Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 41, 49, 35, 30 ]
38
[ "41+49=90", "90/30=3", "35+3=38" ]
Current State: 38:[41, 49, 35, 30], Operations: [] Exploring Operation: 41+49=90, Resulting Numbers: [35, 30, 90] Generated Node #2: [35, 30, 90] from Operation: 41+49=90 Current State: 38:[35, 30, 90], Operations: ['41+49=90'] Exploring Operation: 90/30=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 90/30=3 Current State: 38:[35, 3], Operations: ['41+49=90', '90/30=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 41, 9, 57, 83 ]
11
[ "57-41=16", "83+16=99", "99/9=11" ]
Current State: 11:[41, 9, 57, 83], Operations: [] Exploring Operation: 57-41=16, Resulting Numbers: [9, 83, 16] Generated Node #2: [9, 83, 16] from Operation: 57-41=16 Current State: 11:[9, 83, 16], Operations: ['57-41=16'] Exploring Operation: 83+16=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 83+16=99 Current State: 11:[9, 99], Operations: ['57-41=16', '83+16=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 87, 71, 3, 80 ]
61
[ "87-71=16", "80-3=77", "77-16=61" ]
Current State: 61:[87, 71, 3, 80], Operations: [] Exploring Operation: 87-71=16, Resulting Numbers: [3, 80, 16] Generated Node #2: [3, 80, 16] from Operation: 87-71=16 Current State: 61:[3, 80, 16], Operations: ['87-71=16'] Exploring Operation: 80-3=77, Resulting Numbers: [16, 77] Generated Node #3: [16, 77] from Operation: 80-3=77 Current State: 61:[16, 77], Operations: ['87-71=16', '80-3=77'] Exploring Operation: 77-16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 3, 35, 83 ]
84
[ "20+35=55", "83-55=28", "3*28=84" ]
Current State: 84:[20, 3, 35, 83], Operations: [] Exploring Operation: 20+35=55, Resulting Numbers: [3, 83, 55] Generated Node #2: [3, 83, 55] from Operation: 20+35=55 Current State: 84:[3, 83, 55], Operations: ['20+35=55'] Exploring Operation: 83-55=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 83-55=28 Current State: 84:[3, 28], Operations: ['20+35=55', '83-55=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 90, 54, 49 ]
19
[ "90-66=24", "54-49=5", "24-5=19" ]
Current State: 19:[66, 90, 54, 49], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [54, 49, 24] Generated Node #2: [54, 49, 24] from Operation: 90-66=24 Current State: 19:[54, 49, 24], Operations: ['90-66=24'] Exploring Operation: 54-49=5, Resulting Numbers: [24, 5] Generated Node #3: [24, 5] from Operation: 54-49=5 Current State: 19:[24, 5], Operations: ['90-66=24', '54-49=5'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 51, 42, 53 ]
79
[ "17+51=68", "53-42=11", "68+11=79" ]
Current State: 79:[17, 51, 42, 53], Operations: [] Exploring Operation: 17+51=68, Resulting Numbers: [42, 53, 68] Generated Node #2: [42, 53, 68] from Operation: 17+51=68 Current State: 79:[42, 53, 68], Operations: ['17+51=68'] Exploring Operation: 53-42=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 53-42=11 Current State: 79:[68, 11], Operations: ['17+51=68', '53-42=11'] Exploring Operation: 68+11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 18, 65, 25, 85 ]
23
[ "18+65=83", "85-25=60", "83-60=23" ]
Current State: 23:[18, 65, 25, 85], Operations: [] Exploring Operation: 18+65=83, Resulting Numbers: [25, 85, 83] Generated Node #2: [25, 85, 83] from Operation: 18+65=83 Current State: 23:[25, 85, 83], Operations: ['18+65=83'] Exploring Operation: 85-25=60, Resulting Numbers: [83, 60] Generated Node #3: [83, 60] from Operation: 85-25=60 Current State: 23:[83, 60], Operations: ['18+65=83', '85-25=60'] Exploring Operation: 83-60=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 82, 50, 20, 6 ]
58
[ "82-50=32", "20+6=26", "32+26=58" ]
Current State: 58:[82, 50, 20, 6], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [20, 6, 32] Generated Node #2: [20, 6, 32] from Operation: 82-50=32 Current State: 58:[20, 6, 32], Operations: ['82-50=32'] Exploring Operation: 20+6=26, Resulting Numbers: [32, 26] Generated Node #3: [32, 26] from Operation: 20+6=26 Current State: 58:[32, 26], Operations: ['82-50=32', '20+6=26'] Exploring Operation: 32+26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 96, 73, 13, 87 ]
96
[ "73+13=86", "87-86=1", "96*1=96" ]
Current State: 96:[96, 73, 13, 87], Operations: [] Exploring Operation: 73+13=86, Resulting Numbers: [96, 87, 86] Generated Node #2: [96, 87, 86] from Operation: 73+13=86 Current State: 96:[96, 87, 86], Operations: ['73+13=86'] Exploring Operation: 87-86=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 87-86=1 Current State: 96:[96, 1], Operations: ['73+13=86', '87-86=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 2, 60, 82 ]
73
[ "97-2=95", "82-60=22", "95-22=73" ]
Current State: 73:[97, 2, 60, 82], Operations: [] Exploring Operation: 97-2=95, Resulting Numbers: [60, 82, 95] Generated Node #2: [60, 82, 95] from Operation: 97-2=95 Current State: 73:[60, 82, 95], Operations: ['97-2=95'] Exploring Operation: 82-60=22, Resulting Numbers: [95, 22] Generated Node #3: [95, 22] from Operation: 82-60=22 Current State: 73:[95, 22], Operations: ['97-2=95', '82-60=22'] Exploring Operation: 95-22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 31, 1, 85 ]
82
[ "34-31=3", "1*85=85", "85-3=82" ]
Current State: 82:[34, 31, 1, 85], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [1, 85, 3] Generated Node #2: [1, 85, 3] from Operation: 34-31=3 Current State: 82:[1, 85, 3], Operations: ['34-31=3'] Exploring Operation: 1*85=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 1*85=85 Current State: 82:[3, 85], Operations: ['34-31=3', '1*85=85'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 60, 8, 44, 39 ]
26
[ "60+44=104", "104/8=13", "39-13=26" ]
Current State: 26:[60, 8, 44, 39], Operations: [] Exploring Operation: 60+44=104, Resulting Numbers: [8, 39, 104] Generated Node #2: [8, 39, 104] from Operation: 60+44=104 Current State: 26:[8, 39, 104], Operations: ['60+44=104'] Exploring Operation: 104/8=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 104/8=13 Current State: 26:[39, 13], Operations: ['60+44=104', '104/8=13'] Exploring Operation: 39-13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 94, 29, 5, 55 ]
50
[ "94-29=65", "65-55=10", "5*10=50" ]
Current State: 50:[94, 29, 5, 55], Operations: [] Exploring Operation: 94-29=65, Resulting Numbers: [5, 55, 65] Generated Node #2: [5, 55, 65] from Operation: 94-29=65 Current State: 50:[5, 55, 65], Operations: ['94-29=65'] Exploring Operation: 65-55=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 65-55=10 Current State: 50:[5, 10], Operations: ['94-29=65', '65-55=10'] Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 81, 34, 35 ]
34
[ "81-45=36", "36-35=1", "34*1=34" ]
Current State: 34:[45, 81, 34, 35], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [34, 35, 36] Generated Node #2: [34, 35, 36] from Operation: 81-45=36 Current State: 34:[34, 35, 36], Operations: ['81-45=36'] Exploring Operation: 36-35=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 36-35=1 Current State: 34:[34, 1], Operations: ['81-45=36', '36-35=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 50, 32, 24 ]
58
[ "81*32=2592", "2592/24=108", "108-50=58" ]
Current State: 58:[81, 50, 32, 24], Operations: [] Exploring Operation: 81*32=2592, Resulting Numbers: [50, 24, 2592] Generated Node #2: [50, 24, 2592] from Operation: 81*32=2592 Current State: 58:[50, 24, 2592], Operations: ['81*32=2592'] Exploring Operation: 2592/24=108, Resulting Numbers: [50, 108] Generated Node #3: [50, 108] from Operation: 2592/24=108 Current State: 58:[50, 108], Operations: ['81*32=2592', '2592/24=108'] Exploring Operation: 108-50=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 51, 7, 73, 81 ]
29
[ "73+81=154", "154/7=22", "51-22=29" ]
Current State: 29:[51, 7, 73, 81], Operations: [] Exploring Operation: 73+81=154, Resulting Numbers: [51, 7, 154] Generated Node #2: [51, 7, 154] from Operation: 73+81=154 Current State: 29:[51, 7, 154], Operations: ['73+81=154'] Exploring Operation: 154/7=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 154/7=22 Current State: 29:[51, 22], Operations: ['73+81=154', '154/7=22'] Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 69, 45, 28, 93 ]
14
[ "69*28=1932", "45+93=138", "1932/138=14" ]
Current State: 14:[69, 45, 28, 93], Operations: [] Exploring Operation: 69*28=1932, Resulting Numbers: [45, 93, 1932] Generated Node #2: [45, 93, 1932] from Operation: 69*28=1932 Current State: 14:[45, 93, 1932], Operations: ['69*28=1932'] Exploring Operation: 45+93=138, Resulting Numbers: [1932, 138] Generated Node #3: [1932, 138] from Operation: 45+93=138 Current State: 14:[1932, 138], Operations: ['69*28=1932', '45+93=138'] Exploring Operation: 1932/138=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 16, 2, 80 ]
82
[ "55-16=39", "80-39=41", "2*41=82" ]
Current State: 82:[55, 16, 2, 80], Operations: [] Exploring Operation: 55-16=39, Resulting Numbers: [2, 80, 39] Generated Node #2: [2, 80, 39] from Operation: 55-16=39 Current State: 82:[2, 80, 39], Operations: ['55-16=39'] Exploring Operation: 80-39=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 80-39=41 Current State: 82:[2, 41], Operations: ['55-16=39', '80-39=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 92, 14, 87, 46 ]
80
[ "92/46=2", "14/2=7", "87-7=80" ]
Current State: 80:[92, 14, 87, 46], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [14, 87, 2] Generated Node #2: [14, 87, 2] from Operation: 92/46=2 Current State: 80:[14, 87, 2], Operations: ['92/46=2'] Exploring Operation: 14/2=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 14/2=7 Current State: 80:[87, 7], Operations: ['92/46=2', '14/2=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 32, 10, 7 ]
40
[ "14/7=2", "32+10=42", "42-2=40" ]
Current State: 40:[14, 32, 10, 7], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [32, 10, 2] Generated Node #2: [32, 10, 2] from Operation: 14/7=2 Current State: 40:[32, 10, 2], Operations: ['14/7=2'] Exploring Operation: 32+10=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 32+10=42 Current State: 40:[2, 42], Operations: ['14/7=2', '32+10=42'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 97, 15, 8 ]
57
[ "97-33=64", "15-8=7", "64-7=57" ]
Current State: 57:[33, 97, 15, 8], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [15, 8, 64] Generated Node #2: [15, 8, 64] from Operation: 97-33=64 Current State: 57:[15, 8, 64], Operations: ['97-33=64'] Exploring Operation: 15-8=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 15-8=7 Current State: 57:[64, 7], Operations: ['97-33=64', '15-8=7'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 50, 93, 21, 69 ]
95
[ "50+93=143", "69-21=48", "143-48=95" ]
Current State: 95:[50, 93, 21, 69], Operations: [] Exploring Operation: 50+93=143, Resulting Numbers: [21, 69, 143] Generated Node #2: [21, 69, 143] from Operation: 50+93=143 Current State: 95:[21, 69, 143], Operations: ['50+93=143'] Exploring Operation: 69-21=48, Resulting Numbers: [143, 48] Generated Node #3: [143, 48] from Operation: 69-21=48 Current State: 95:[143, 48], Operations: ['50+93=143', '69-21=48'] Exploring Operation: 143-48=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 38, 54, 48, 6 ]
58
[ "54-38=16", "48-6=42", "16+42=58" ]
Current State: 58:[38, 54, 48, 6], Operations: [] Exploring Operation: 54-38=16, Resulting Numbers: [48, 6, 16] Generated Node #2: [48, 6, 16] from Operation: 54-38=16 Current State: 58:[48, 6, 16], Operations: ['54-38=16'] Exploring Operation: 48-6=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 48-6=42 Current State: 58:[16, 42], Operations: ['54-38=16', '48-6=42'] Exploring Operation: 16+42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 93, 70, 57, 2 ]
71
[ "93-57=36", "70/2=35", "36+35=71" ]
Current State: 71:[93, 70, 57, 2], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [70, 2, 36] Generated Node #2: [70, 2, 36] from Operation: 93-57=36 Current State: 71:[70, 2, 36], Operations: ['93-57=36'] Exploring Operation: 70/2=35, Resulting Numbers: [36, 35] Generated Node #3: [36, 35] from Operation: 70/2=35 Current State: 71:[36, 35], Operations: ['93-57=36', '70/2=35'] Exploring Operation: 36+35=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 1, 23, 68, 34 ]
45
[ "23*68=1564", "1564/34=46", "46-1=45" ]
Current State: 45:[1, 23, 68, 34], Operations: [] Exploring Operation: 23*68=1564, Resulting Numbers: [1, 34, 1564] Generated Node #2: [1, 34, 1564] from Operation: 23*68=1564 Current State: 45:[1, 34, 1564], Operations: ['23*68=1564'] Exploring Operation: 1564/34=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 1564/34=46 Current State: 45:[1, 46], Operations: ['23*68=1564', '1564/34=46'] Exploring Operation: 46-1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 30, 21, 64, 5 ]
50
[ "30-21=9", "64-5=59", "59-9=50" ]
Current State: 50:[30, 21, 64, 5], Operations: [] Exploring Operation: 30-21=9, Resulting Numbers: [64, 5, 9] Generated Node #2: [64, 5, 9] from Operation: 30-21=9 Current State: 50:[64, 5, 9], Operations: ['30-21=9'] Exploring Operation: 64-5=59, Resulting Numbers: [9, 59] Generated Node #3: [9, 59] from Operation: 64-5=59 Current State: 50:[9, 59], Operations: ['30-21=9', '64-5=59'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 71, 34, 27, 4 ]
71
[ "71-34=37", "27*4=108", "108-37=71" ]
Current State: 71:[71, 34, 27, 4], Operations: [] Exploring Operation: 71-34=37, Resulting Numbers: [27, 4, 37] Generated Node #2: [27, 4, 37] from Operation: 71-34=37 Current State: 71:[27, 4, 37], Operations: ['71-34=37'] Exploring Operation: 27*4=108, Resulting Numbers: [37, 108] Generated Node #3: [37, 108] from Operation: 27*4=108 Current State: 71:[37, 108], Operations: ['71-34=37', '27*4=108'] Exploring Operation: 108-37=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 77, 5, 9, 23 ]
83
[ "9+23=32", "5*32=160", "160-77=83" ]
Current State: 83:[77, 5, 9, 23], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [77, 5, 32] Generated Node #2: [77, 5, 32] from Operation: 9+23=32 Current State: 83:[77, 5, 32], Operations: ['9+23=32'] Exploring Operation: 5*32=160, Resulting Numbers: [77, 160] Generated Node #3: [77, 160] from Operation: 5*32=160 Current State: 83:[77, 160], Operations: ['9+23=32', '5*32=160'] Exploring Operation: 160-77=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 46, 71, 19 ]
26
[ "46-20=26", "71-19=52", "52-26=26" ]
Current State: 26:[20, 46, 71, 19], Operations: [] Exploring Operation: 46-20=26, Resulting Numbers: [71, 19, 26] Generated Node #2: [71, 19, 26] from Operation: 46-20=26 Current State: 26:[71, 19, 26], Operations: ['46-20=26'] Exploring Operation: 71-19=52, Resulting Numbers: [26, 52] Generated Node #3: [26, 52] from Operation: 71-19=52 Current State: 26:[26, 52], Operations: ['46-20=26', '71-19=52'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 23, 28, 55 ]
25
[ "55-41=14", "28/14=2", "23+2=25" ]
Current State: 25:[41, 23, 28, 55], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [23, 28, 14] Generated Node #2: [23, 28, 14] from Operation: 55-41=14 Current State: 25:[23, 28, 14], Operations: ['55-41=14'] Exploring Operation: 28/14=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 28/14=2 Current State: 25:[23, 2], Operations: ['55-41=14', '28/14=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 6, 24, 71 ]
37
[ "42-24=18", "6*18=108", "108-71=37" ]
Current State: 37:[42, 6, 24, 71], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [6, 71, 18] Generated Node #2: [6, 71, 18] from Operation: 42-24=18 Current State: 37:[6, 71, 18], Operations: ['42-24=18'] Exploring Operation: 6*18=108, Resulting Numbers: [71, 108] Generated Node #3: [71, 108] from Operation: 6*18=108 Current State: 37:[71, 108], Operations: ['42-24=18', '6*18=108'] Exploring Operation: 108-71=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 39, 33, 6, 78 ]
25
[ "39+33=72", "78+72=150", "150/6=25" ]
Current State: 25:[39, 33, 6, 78], Operations: [] Exploring Operation: 39+33=72, Resulting Numbers: [6, 78, 72] Generated Node #2: [6, 78, 72] from Operation: 39+33=72 Current State: 25:[6, 78, 72], Operations: ['39+33=72'] Exploring Operation: 78+72=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 78+72=150 Current State: 25:[6, 150], Operations: ['39+33=72', '78+72=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 67, 66, 83, 49 ]
69
[ "83+49=132", "132/66=2", "67+2=69" ]
Current State: 69:[67, 66, 83, 49], Operations: [] Exploring Operation: 83+49=132, Resulting Numbers: [67, 66, 132] Generated Node #2: [67, 66, 132] from Operation: 83+49=132 Current State: 69:[67, 66, 132], Operations: ['83+49=132'] Exploring Operation: 132/66=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 132/66=2 Current State: 69:[67, 2], Operations: ['83+49=132', '132/66=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 75, 27, 76, 28 ]
96
[ "75-27=48", "76-28=48", "48+48=96" ]
Current State: 96:[75, 27, 76, 28], Operations: [] Exploring Operation: 75-27=48, Resulting Numbers: [76, 28, 48] Generated Node #2: [76, 28, 48] from Operation: 75-27=48 Current State: 96:[76, 28, 48], Operations: ['75-27=48'] Exploring Operation: 76-28=48, Resulting Numbers: [48, 48] Generated Node #3: [48, 48] from Operation: 76-28=48 Current State: 96:[48, 48], Operations: ['75-27=48', '76-28=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 52, 49, 6 ]
58
[ "52-49=3", "6*3=18", "40+18=58" ]
Current State: 58:[40, 52, 49, 6], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [40, 6, 3] Generated Node #2: [40, 6, 3] from Operation: 52-49=3 Current State: 58:[40, 6, 3], Operations: ['52-49=3'] Exploring Operation: 6*3=18, Resulting Numbers: [40, 18] Generated Node #3: [40, 18] from Operation: 6*3=18 Current State: 58:[40, 18], Operations: ['52-49=3', '6*3=18'] Exploring Operation: 40+18=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 33, 87, 35 ]
16
[ "69-33=36", "87-35=52", "52-36=16" ]
Current State: 16:[69, 33, 87, 35], Operations: [] Exploring Operation: 69-33=36, Resulting Numbers: [87, 35, 36] Generated Node #2: [87, 35, 36] from Operation: 69-33=36 Current State: 16:[87, 35, 36], Operations: ['69-33=36'] Exploring Operation: 87-35=52, Resulting Numbers: [36, 52] Generated Node #3: [36, 52] from Operation: 87-35=52 Current State: 16:[36, 52], Operations: ['69-33=36', '87-35=52'] Exploring Operation: 52-36=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 78, 64, 71 ]
29
[ "58*71=4118", "78+64=142", "4118/142=29" ]
Current State: 29:[58, 78, 64, 71], Operations: [] Exploring Operation: 58*71=4118, Resulting Numbers: [78, 64, 4118] Generated Node #2: [78, 64, 4118] from Operation: 58*71=4118 Current State: 29:[78, 64, 4118], Operations: ['58*71=4118'] Exploring Operation: 78+64=142, Resulting Numbers: [4118, 142] Generated Node #3: [4118, 142] from Operation: 78+64=142 Current State: 29:[4118, 142], Operations: ['58*71=4118', '78+64=142'] Exploring Operation: 4118/142=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 5, 89, 78, 77 ]
22
[ "89-78=11", "5*11=55", "77-55=22" ]
Current State: 22:[5, 89, 78, 77], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [5, 77, 11] Generated Node #2: [5, 77, 11] from Operation: 89-78=11 Current State: 22:[5, 77, 11], Operations: ['89-78=11'] Exploring Operation: 5*11=55, Resulting Numbers: [77, 55] Generated Node #3: [77, 55] from Operation: 5*11=55 Current State: 22:[77, 55], Operations: ['89-78=11', '5*11=55'] Exploring Operation: 77-55=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 11, 10, 56 ]
55
[ "90+11=101", "56-10=46", "101-46=55" ]
Current State: 55:[90, 11, 10, 56], Operations: [] Exploring Operation: 90+11=101, Resulting Numbers: [10, 56, 101] Generated Node #2: [10, 56, 101] from Operation: 90+11=101 Current State: 55:[10, 56, 101], Operations: ['90+11=101'] Exploring Operation: 56-10=46, Resulting Numbers: [101, 46] Generated Node #3: [101, 46] from Operation: 56-10=46 Current State: 55:[101, 46], Operations: ['90+11=101', '56-10=46'] Exploring Operation: 101-46=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 82, 84, 31, 44 ]
91
[ "82+84=166", "31+44=75", "166-75=91" ]
Current State: 91:[82, 84, 31, 44], Operations: [] Exploring Operation: 82+84=166, Resulting Numbers: [31, 44, 166] Generated Node #2: [31, 44, 166] from Operation: 82+84=166 Current State: 91:[31, 44, 166], Operations: ['82+84=166'] Exploring Operation: 31+44=75, Resulting Numbers: [166, 75] Generated Node #3: [166, 75] from Operation: 31+44=75 Current State: 91:[166, 75], Operations: ['82+84=166', '31+44=75'] Exploring Operation: 166-75=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 97, 99, 56, 16 ]
36
[ "99-97=2", "56+16=72", "72/2=36" ]
Current State: 36:[97, 99, 56, 16], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [56, 16, 2] Generated Node #2: [56, 16, 2] from Operation: 99-97=2 Current State: 36:[56, 16, 2], Operations: ['99-97=2'] Exploring Operation: 56+16=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 56+16=72 Current State: 36:[2, 72], Operations: ['99-97=2', '56+16=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 58, 90, 51, 58 ]
77
[ "90-58=32", "51+58=109", "109-32=77" ]
Current State: 77:[58, 90, 51, 58], Operations: [] Exploring Operation: 90-58=32, Resulting Numbers: [51, 32] Generated Node #2: [51, 32] from Operation: 90-58=32 Current State: 77:[51, 32], Operations: ['90-58=32'] Exploring Operation: 51+58=109, Resulting Numbers: [32, 109] Generated Node #3: [32, 109] from Operation: 51+58=109 Current State: 77:[32, 109], Operations: ['90-58=32', '51+58=109'] Exploring Operation: 109-32=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 2, 64, 31 ]
60
[ "93-31=62", "2*62=124", "124-64=60" ]
Current State: 60:[93, 2, 64, 31], Operations: [] Exploring Operation: 93-31=62, Resulting Numbers: [2, 64, 62] Generated Node #2: [2, 64, 62] from Operation: 93-31=62 Current State: 60:[2, 64, 62], Operations: ['93-31=62'] Exploring Operation: 2*62=124, Resulting Numbers: [64, 124] Generated Node #3: [64, 124] from Operation: 2*62=124 Current State: 60:[64, 124], Operations: ['93-31=62', '2*62=124'] Exploring Operation: 124-64=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 1, 7, 6, 18 ]
11
[ "1+7=8", "18/6=3", "8+3=11" ]
Current State: 11:[1, 7, 6, 18], Operations: [] Exploring Operation: 1+7=8, Resulting Numbers: [6, 18, 8] Generated Node #2: [6, 18, 8] from Operation: 1+7=8 Current State: 11:[6, 18, 8], Operations: ['1+7=8'] Exploring Operation: 18/6=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 18/6=3 Current State: 11:[8, 3], Operations: ['1+7=8', '18/6=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 61, 24, 4 ]
44
[ "85-61=24", "24-4=20", "24+20=44" ]
Current State: 44:[85, 61, 24, 4], Operations: [] Exploring Operation: 85-61=24, Resulting Numbers: [24, 4, 24] Generated Node #2: [24, 4, 24] from Operation: 85-61=24 Current State: 44:[24, 4, 24], Operations: ['85-61=24'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,44 equal: Goal Reached Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 82, 4, 28, 38 ]
18
[ "82+28=110", "110-38=72", "72/4=18" ]
Current State: 18:[82, 4, 28, 38], Operations: [] Exploring Operation: 82+28=110, Resulting Numbers: [4, 38, 110] Generated Node #2: [4, 38, 110] from Operation: 82+28=110 Current State: 18:[4, 38, 110], Operations: ['82+28=110'] Exploring Operation: 110-38=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 110-38=72 Current State: 18:[4, 72], Operations: ['82+28=110', '110-38=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 36, 90, 50, 10 ]
32
[ "90-50=40", "40/10=4", "36-4=32" ]
Current State: 32:[36, 90, 50, 10], Operations: [] Exploring Operation: 90-50=40, Resulting Numbers: [36, 10, 40] Generated Node #2: [36, 10, 40] from Operation: 90-50=40 Current State: 32:[36, 10, 40], Operations: ['90-50=40'] Exploring Operation: 40/10=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 40/10=4 Current State: 32:[36, 4], Operations: ['90-50=40', '40/10=4'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 23, 26, 63 ]
10
[ "26-23=3", "63-3=60", "60/6=10" ]
Current State: 10:[6, 23, 26, 63], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [6, 63, 3] Generated Node #2: [6, 63, 3] from Operation: 26-23=3 Current State: 10:[6, 63, 3], Operations: ['26-23=3'] Exploring Operation: 63-3=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 63-3=60 Current State: 10:[6, 60], Operations: ['26-23=3', '63-3=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 83, 2, 49 ]
86
[ "83-49=34", "34/2=17", "69+17=86" ]
Current State: 86:[69, 83, 2, 49], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [69, 2, 34] Generated Node #2: [69, 2, 34] from Operation: 83-49=34 Current State: 86:[69, 2, 34], Operations: ['83-49=34'] Exploring Operation: 34/2=17, Resulting Numbers: [69, 17] Generated Node #3: [69, 17] from Operation: 34/2=17 Current State: 86:[69, 17], Operations: ['83-49=34', '34/2=17'] Exploring Operation: 69+17=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 34, 3, 87 ]
44
[ "59+87=146", "34*3=102", "146-102=44" ]
Current State: 44:[59, 34, 3, 87], Operations: [] Exploring Operation: 59+87=146, Resulting Numbers: [34, 3, 146] Generated Node #2: [34, 3, 146] from Operation: 59+87=146 Current State: 44:[34, 3, 146], Operations: ['59+87=146'] Exploring Operation: 34*3=102, Resulting Numbers: [146, 102] Generated Node #3: [146, 102] from Operation: 34*3=102 Current State: 44:[146, 102], Operations: ['59+87=146', '34*3=102'] Exploring Operation: 146-102=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 88, 18, 32, 49 ]
89
[ "88+18=106", "49-32=17", "106-17=89" ]
Current State: 89:[88, 18, 32, 49], Operations: [] Exploring Operation: 88+18=106, Resulting Numbers: [32, 49, 106] Generated Node #2: [32, 49, 106] from Operation: 88+18=106 Current State: 89:[32, 49, 106], Operations: ['88+18=106'] Exploring Operation: 49-32=17, Resulting Numbers: [106, 17] Generated Node #3: [106, 17] from Operation: 49-32=17 Current State: 89:[106, 17], Operations: ['88+18=106', '49-32=17'] Exploring Operation: 106-17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4