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
[ 80, 21, 27, 46 ]
14
[ "80-21=59", "27+46=73", "73-59=14" ]
Current State: 14:[80, 21, 27, 46], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [27, 46, 59] Generated Node #2: [27, 46, 59] from Operation: 80-21=59 Current State: 14:[27, 46, 59], Operations: ['80-21=59'] Exploring Operation: 27+46=73, Resulting Numbers: [59, 73] Generated Node #3: [59, 73] from Operation: 27+46=73 Current State: 14:[59, 73], Operations: ['80-21=59', '27+46=73'] Exploring Operation: 73-59=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 43, 11, 55 ]
46
[ "55-22=33", "33/11=3", "43+3=46" ]
Current State: 46:[22, 43, 11, 55], Operations: [] Exploring Operation: 55-22=33, Resulting Numbers: [43, 11, 33] Generated Node #2: [43, 11, 33] from Operation: 55-22=33 Current State: 46:[43, 11, 33], Operations: ['55-22=33'] Exploring Operation: 33/11=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 33/11=3 Current State: 46:[43, 3], Operations: ['55-22=33', '33/11=3'] Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 54, 34, 12 ]
45
[ "34-24=10", "54*10=540", "540/12=45" ]
Current State: 45:[24, 54, 34, 12], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [54, 12, 10] Generated Node #2: [54, 12, 10] from Operation: 34-24=10 Current State: 45:[54, 12, 10], Operations: ['34-24=10'] Exploring Operation: 54*10=540, Resulting Numbers: [12, 540] Generated Node #3: [12, 540] from Operation: 54*10=540 Current State: 45:[12, 540], Operations: ['34-24=10', '54*10=540'] Exploring Operation: 540/12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 5, 3, 7 ]
46
[ "5-3=2", "7*2=14", "60-14=46" ]
Current State: 46:[60, 5, 3, 7], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [60, 7, 2] Generated Node #2: [60, 7, 2] from Operation: 5-3=2 Current State: 46:[60, 7, 2], Operations: ['5-3=2'] Exploring Operation: 7*2=14, Resulting Numbers: [60, 14] Generated Node #3: [60, 14] from Operation: 7*2=14 Current State: 46:[60, 14], Operations: ['5-3=2', '7*2=14'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 47, 46, 50 ]
31
[ "50-46=4", "4*4=16", "47-16=31" ]
Current State: 31:[4, 47, 46, 50], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [4, 47, 4] Generated Node #2: [4, 47, 4] from Operation: 50-46=4 Current State: 31:[4, 47, 4], Operations: ['50-46=4'] Exploring Operation: 4*4=16, Resulting Numbers: [47, 16] Generated Node #3: [47, 16] from Operation: 4*4=16 Current State: 31:[47, 16], Operations: ['50-46=4', '4*4=16'] Exploring Operation: 47-16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 31, 17, 4, 7 ]
12
[ "31+4=35", "35/7=5", "17-5=12" ]
Current State: 12:[31, 17, 4, 7], Operations: [] Exploring Operation: 31+4=35, Resulting Numbers: [17, 7, 35] Generated Node #2: [17, 7, 35] from Operation: 31+4=35 Current State: 12:[17, 7, 35], Operations: ['31+4=35'] Exploring Operation: 35/7=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 35/7=5 Current State: 12:[17, 5], Operations: ['31+4=35', '35/7=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 65, 3, 56, 89 ]
16
[ "89-65=24", "3*24=72", "72-56=16" ]
Current State: 16:[65, 3, 56, 89], Operations: [] Exploring Operation: 89-65=24, Resulting Numbers: [3, 56, 24] Generated Node #2: [3, 56, 24] from Operation: 89-65=24 Current State: 16:[3, 56, 24], Operations: ['89-65=24'] Exploring Operation: 3*24=72, Resulting Numbers: [56, 72] Generated Node #3: [56, 72] from Operation: 3*24=72 Current State: 16:[56, 72], Operations: ['89-65=24', '3*24=72'] Exploring Operation: 72-56=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 56, 31, 76 ]
66
[ "56-15=41", "31+76=107", "107-41=66" ]
Current State: 66:[15, 56, 31, 76], Operations: [] Exploring Operation: 56-15=41, Resulting Numbers: [31, 76, 41] Generated Node #2: [31, 76, 41] from Operation: 56-15=41 Current State: 66:[31, 76, 41], Operations: ['56-15=41'] Exploring Operation: 31+76=107, Resulting Numbers: [41, 107] Generated Node #3: [41, 107] from Operation: 31+76=107 Current State: 66:[41, 107], Operations: ['56-15=41', '31+76=107'] Exploring Operation: 107-41=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 97, 90, 55, 21 ]
83
[ "97-90=7", "55+21=76", "7+76=83" ]
Current State: 83:[97, 90, 55, 21], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [55, 21, 7] Generated Node #2: [55, 21, 7] from Operation: 97-90=7 Current State: 83:[55, 21, 7], Operations: ['97-90=7'] Exploring Operation: 55+21=76, Resulting Numbers: [7, 76] Generated Node #3: [7, 76] from Operation: 55+21=76 Current State: 83:[7, 76], Operations: ['97-90=7', '55+21=76'] Exploring Operation: 7+76=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 11, 41, 16, 21 ]
39
[ "11+21=32", "32/16=2", "41-2=39" ]
Current State: 39:[11, 41, 16, 21], Operations: [] Exploring Operation: 11+21=32, Resulting Numbers: [41, 16, 32] Generated Node #2: [41, 16, 32] from Operation: 11+21=32 Current State: 39:[41, 16, 32], Operations: ['11+21=32'] Exploring Operation: 32/16=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 32/16=2 Current State: 39:[41, 2], Operations: ['11+21=32', '32/16=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 30, 7, 8 ]
62
[ "58*8=464", "464-30=434", "434/7=62" ]
Current State: 62:[58, 30, 7, 8], Operations: [] Exploring Operation: 58*8=464, Resulting Numbers: [30, 7, 464] Generated Node #2: [30, 7, 464] from Operation: 58*8=464 Current State: 62:[30, 7, 464], Operations: ['58*8=464'] Exploring Operation: 464-30=434, Resulting Numbers: [7, 434] Generated Node #3: [7, 434] from Operation: 464-30=434 Current State: 62:[7, 434], Operations: ['58*8=464', '464-30=434'] Exploring Operation: 434/7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 30, 55, 38 ]
56
[ "55-48=7", "38-30=8", "7*8=56" ]
Current State: 56:[48, 30, 55, 38], Operations: [] Exploring Operation: 55-48=7, Resulting Numbers: [30, 38, 7] Generated Node #2: [30, 38, 7] from Operation: 55-48=7 Current State: 56:[30, 38, 7], Operations: ['55-48=7'] Exploring Operation: 38-30=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 38-30=8 Current State: 56:[7, 8], Operations: ['55-48=7', '38-30=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 85, 82, 52 ]
79
[ "24+85=109", "82-52=30", "109-30=79" ]
Current State: 79:[24, 85, 82, 52], Operations: [] Exploring Operation: 24+85=109, Resulting Numbers: [82, 52, 109] Generated Node #2: [82, 52, 109] from Operation: 24+85=109 Current State: 79:[82, 52, 109], Operations: ['24+85=109'] Exploring Operation: 82-52=30, Resulting Numbers: [109, 30] Generated Node #3: [109, 30] from Operation: 82-52=30 Current State: 79:[109, 30], Operations: ['24+85=109', '82-52=30'] Exploring Operation: 109-30=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 84, 65, 10 ]
89
[ "84-70=14", "65+10=75", "14+75=89" ]
Current State: 89:[70, 84, 65, 10], Operations: [] Exploring Operation: 84-70=14, Resulting Numbers: [65, 10, 14] Generated Node #2: [65, 10, 14] from Operation: 84-70=14 Current State: 89:[65, 10, 14], Operations: ['84-70=14'] Exploring Operation: 65+10=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 65+10=75 Current State: 89:[14, 75], Operations: ['84-70=14', '65+10=75'] Exploring Operation: 14+75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 4, 44, 65, 59 ]
52
[ "4*44=176", "65+59=124", "176-124=52" ]
Current State: 52:[4, 44, 65, 59], Operations: [] Exploring Operation: 4*44=176, Resulting Numbers: [65, 59, 176] Generated Node #2: [65, 59, 176] from Operation: 4*44=176 Current State: 52:[65, 59, 176], Operations: ['4*44=176'] Exploring Operation: 65+59=124, Resulting Numbers: [176, 124] Generated Node #3: [176, 124] from Operation: 65+59=124 Current State: 52:[176, 124], Operations: ['4*44=176', '65+59=124'] Exploring Operation: 176-124=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 37, 76, 60 ]
34
[ "96-76=20", "60/20=3", "37-3=34" ]
Current State: 34:[96, 37, 76, 60], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [37, 60, 20] Generated Node #2: [37, 60, 20] from Operation: 96-76=20 Current State: 34:[37, 60, 20], Operations: ['96-76=20'] Exploring Operation: 60/20=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 60/20=3 Current State: 34:[37, 3], Operations: ['96-76=20', '60/20=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 43, 70, 96, 78 ]
55
[ "78-70=8", "96/8=12", "43+12=55" ]
Current State: 55:[43, 70, 96, 78], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [43, 96, 8] Generated Node #2: [43, 96, 8] from Operation: 78-70=8 Current State: 55:[43, 96, 8], Operations: ['78-70=8'] Exploring Operation: 96/8=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 96/8=12 Current State: 55:[43, 12], Operations: ['78-70=8', '96/8=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 43, 21, 20 ]
16
[ "58-43=15", "21-20=1", "15+1=16" ]
Current State: 16:[58, 43, 21, 20], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [21, 20, 15] Generated Node #2: [21, 20, 15] from Operation: 58-43=15 Current State: 16:[21, 20, 15], Operations: ['58-43=15'] Exploring Operation: 21-20=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 21-20=1 Current State: 16:[15, 1], Operations: ['58-43=15', '21-20=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 59, 82, 89 ]
87
[ "36+82=118", "118/59=2", "89-2=87" ]
Current State: 87:[36, 59, 82, 89], Operations: [] Exploring Operation: 36+82=118, Resulting Numbers: [59, 89, 118] Generated Node #2: [59, 89, 118] from Operation: 36+82=118 Current State: 87:[59, 89, 118], Operations: ['36+82=118'] Exploring Operation: 118/59=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 118/59=2 Current State: 87:[89, 2], Operations: ['36+82=118', '118/59=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 31, 54, 80, 47 ]
42
[ "31+54=85", "80+47=127", "127-85=42" ]
Current State: 42:[31, 54, 80, 47], Operations: [] Exploring Operation: 31+54=85, Resulting Numbers: [80, 47, 85] Generated Node #2: [80, 47, 85] from Operation: 31+54=85 Current State: 42:[80, 47, 85], Operations: ['31+54=85'] Exploring Operation: 80+47=127, Resulting Numbers: [85, 127] Generated Node #3: [85, 127] from Operation: 80+47=127 Current State: 42:[85, 127], Operations: ['31+54=85', '80+47=127'] Exploring Operation: 127-85=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 66, 26, 20, 28 ]
92
[ "66-20=46", "28-26=2", "46*2=92" ]
Current State: 92:[66, 26, 20, 28], Operations: [] Exploring Operation: 66-20=46, Resulting Numbers: [26, 28, 46] Generated Node #2: [26, 28, 46] from Operation: 66-20=46 Current State: 92:[26, 28, 46], Operations: ['66-20=46'] Exploring Operation: 28-26=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 28-26=2 Current State: 92:[46, 2], Operations: ['66-20=46', '28-26=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 46, 24, 14 ]
48
[ "58-46=12", "14-12=2", "24*2=48" ]
Current State: 48:[58, 46, 24, 14], Operations: [] Exploring Operation: 58-46=12, Resulting Numbers: [24, 14, 12] Generated Node #2: [24, 14, 12] from Operation: 58-46=12 Current State: 48:[24, 14, 12], Operations: ['58-46=12'] Exploring Operation: 14-12=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 14-12=2 Current State: 48:[24, 2], Operations: ['58-46=12', '14-12=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 67, 85, 69 ]
43
[ "67-8=59", "85-69=16", "59-16=43" ]
Current State: 43:[8, 67, 85, 69], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [85, 69, 59] Generated Node #2: [85, 69, 59] from Operation: 67-8=59 Current State: 43:[85, 69, 59], Operations: ['67-8=59'] Exploring Operation: 85-69=16, Resulting Numbers: [59, 16] Generated Node #3: [59, 16] from Operation: 85-69=16 Current State: 43:[59, 16], Operations: ['67-8=59', '85-69=16'] Exploring Operation: 59-16=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 42, 14, 34, 28 ]
50
[ "42+14=56", "34-28=6", "56-6=50" ]
Current State: 50:[42, 14, 34, 28], Operations: [] Exploring Operation: 42+14=56, Resulting Numbers: [34, 28, 56] Generated Node #2: [34, 28, 56] from Operation: 42+14=56 Current State: 50:[34, 28, 56], Operations: ['42+14=56'] Exploring Operation: 34-28=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 34-28=6 Current State: 50:[56, 6], Operations: ['42+14=56', '34-28=6'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 13, 66, 46 ]
73
[ "2*66=132", "13+46=59", "132-59=73" ]
Current State: 73:[2, 13, 66, 46], Operations: [] Exploring Operation: 2*66=132, Resulting Numbers: [13, 46, 132] Generated Node #2: [13, 46, 132] from Operation: 2*66=132 Current State: 73:[13, 46, 132], Operations: ['2*66=132'] Exploring Operation: 13+46=59, Resulting Numbers: [132, 59] Generated Node #3: [132, 59] from Operation: 13+46=59 Current State: 73:[132, 59], Operations: ['2*66=132', '13+46=59'] Exploring Operation: 132-59=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 52, 82, 45, 58 ]
73
[ "82-52=30", "45+58=103", "103-30=73" ]
Current State: 73:[52, 82, 45, 58], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [45, 58, 30] Generated Node #2: [45, 58, 30] from Operation: 82-52=30 Current State: 73:[45, 58, 30], Operations: ['82-52=30'] Exploring Operation: 45+58=103, Resulting Numbers: [30, 103] Generated Node #3: [30, 103] from Operation: 45+58=103 Current State: 73:[30, 103], Operations: ['82-52=30', '45+58=103'] Exploring Operation: 103-30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 48, 13, 60, 22 ]
10
[ "48+60=108", "22+108=130", "130/13=10" ]
Current State: 10:[48, 13, 60, 22], Operations: [] Exploring Operation: 48+60=108, Resulting Numbers: [13, 22, 108] Generated Node #2: [13, 22, 108] from Operation: 48+60=108 Current State: 10:[13, 22, 108], Operations: ['48+60=108'] Exploring Operation: 22+108=130, Resulting Numbers: [13, 130] Generated Node #3: [13, 130] from Operation: 22+108=130 Current State: 10:[13, 130], Operations: ['48+60=108', '22+108=130'] Exploring Operation: 130/13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 45, 26, 43, 66 ]
48
[ "45+26=71", "66-43=23", "71-23=48" ]
Current State: 48:[45, 26, 43, 66], Operations: [] Exploring Operation: 45+26=71, Resulting Numbers: [43, 66, 71] Generated Node #2: [43, 66, 71] from Operation: 45+26=71 Current State: 48:[43, 66, 71], Operations: ['45+26=71'] Exploring Operation: 66-43=23, Resulting Numbers: [71, 23] Generated Node #3: [71, 23] from Operation: 66-43=23 Current State: 48:[71, 23], Operations: ['45+26=71', '66-43=23'] Exploring Operation: 71-23=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 7, 23, 9, 85 ]
19
[ "23+85=108", "108/9=12", "7+12=19" ]
Current State: 19:[7, 23, 9, 85], Operations: [] Exploring Operation: 23+85=108, Resulting Numbers: [7, 9, 108] Generated Node #2: [7, 9, 108] from Operation: 23+85=108 Current State: 19:[7, 9, 108], Operations: ['23+85=108'] Exploring Operation: 108/9=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 108/9=12 Current State: 19:[7, 12], Operations: ['23+85=108', '108/9=12'] Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 34, 36, 54 ]
15
[ "84-54=30", "36-34=2", "30/2=15" ]
Current State: 15:[84, 34, 36, 54], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [34, 36, 30] Generated Node #2: [34, 36, 30] from Operation: 84-54=30 Current State: 15:[34, 36, 30], Operations: ['84-54=30'] Exploring Operation: 36-34=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 36-34=2 Current State: 15:[30, 2], Operations: ['84-54=30', '36-34=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 2, 83, 72 ]
47
[ "72/2=36", "83-72=11", "36+11=47" ]
Current State: 47:[72, 2, 83, 72], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [83, 36] Generated Node #2: [83, 36] from Operation: 72/2=36 Current State: 47:[83, 36], Operations: ['72/2=36'] Exploring Operation: 83-72=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 83-72=11 Current State: 47:[36, 11], Operations: ['72/2=36', '83-72=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 58, 68, 18, 9 ]
92
[ "68*9=612", "612/18=34", "58+34=92" ]
Current State: 92:[58, 68, 18, 9], Operations: [] Exploring Operation: 68*9=612, Resulting Numbers: [58, 18, 612] Generated Node #2: [58, 18, 612] from Operation: 68*9=612 Current State: 92:[58, 18, 612], Operations: ['68*9=612'] Exploring Operation: 612/18=34, Resulting Numbers: [58, 34] Generated Node #3: [58, 34] from Operation: 612/18=34 Current State: 92:[58, 34], Operations: ['68*9=612', '612/18=34'] Exploring Operation: 58+34=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 75, 95, 56, 25 ]
13
[ "75/25=3", "95-56=39", "39/3=13" ]
Current State: 13:[75, 95, 56, 25], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [95, 56, 3] Generated Node #2: [95, 56, 3] from Operation: 75/25=3 Current State: 13:[95, 56, 3], Operations: ['75/25=3'] Exploring Operation: 95-56=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 95-56=39 Current State: 13:[3, 39], Operations: ['75/25=3', '95-56=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 39, 82, 27, 1 ]
36
[ "82-1=81", "81/27=3", "39-3=36" ]
Current State: 36:[39, 82, 27, 1], Operations: [] Exploring Operation: 82-1=81, Resulting Numbers: [39, 27, 81] Generated Node #2: [39, 27, 81] from Operation: 82-1=81 Current State: 36:[39, 27, 81], Operations: ['82-1=81'] Exploring Operation: 81/27=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 81/27=3 Current State: 36:[39, 3], Operations: ['82-1=81', '81/27=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 39, 87, 88, 82 ]
54
[ "87-39=48", "88-82=6", "48+6=54" ]
Current State: 54:[39, 87, 88, 82], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [88, 82, 48] Generated Node #2: [88, 82, 48] from Operation: 87-39=48 Current State: 54:[88, 82, 48], Operations: ['87-39=48'] Exploring Operation: 88-82=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 88-82=6 Current State: 54:[48, 6], Operations: ['87-39=48', '88-82=6'] Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 24, 98, 12 ]
53
[ "24/12=2", "98/2=49", "4+49=53" ]
Current State: 53:[4, 24, 98, 12], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [4, 98, 2] Generated Node #2: [4, 98, 2] from Operation: 24/12=2 Current State: 53:[4, 98, 2], Operations: ['24/12=2'] Exploring Operation: 98/2=49, Resulting Numbers: [4, 49] Generated Node #3: [4, 49] from Operation: 98/2=49 Current State: 53:[4, 49], Operations: ['24/12=2', '98/2=49'] Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 10, 6, 13, 27 ]
89
[ "27-10=17", "6*17=102", "102-13=89" ]
Current State: 89:[10, 6, 13, 27], Operations: [] Exploring Operation: 27-10=17, Resulting Numbers: [6, 13, 17] Generated Node #2: [6, 13, 17] from Operation: 27-10=17 Current State: 89:[6, 13, 17], Operations: ['27-10=17'] Exploring Operation: 6*17=102, Resulting Numbers: [13, 102] Generated Node #3: [13, 102] from Operation: 6*17=102 Current State: 89:[13, 102], Operations: ['27-10=17', '6*17=102'] Exploring Operation: 102-13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 81, 20, 86, 39 ]
43
[ "86-81=5", "20/5=4", "39+4=43" ]
Current State: 43:[81, 20, 86, 39], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [20, 39, 5] Generated Node #2: [20, 39, 5] from Operation: 86-81=5 Current State: 43:[20, 39, 5], Operations: ['86-81=5'] Exploring Operation: 20/5=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 20/5=4 Current State: 43:[39, 4], Operations: ['86-81=5', '20/5=4'] Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 14, 35, 58, 63 ]
60
[ "63-35=28", "28/14=2", "58+2=60" ]
Current State: 60:[14, 35, 58, 63], Operations: [] Exploring Operation: 63-35=28, Resulting Numbers: [14, 58, 28] Generated Node #2: [14, 58, 28] from Operation: 63-35=28 Current State: 60:[14, 58, 28], Operations: ['63-35=28'] Exploring Operation: 28/14=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 28/14=2 Current State: 60:[58, 2], Operations: ['63-35=28', '28/14=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 80, 37, 89 ]
44
[ "88-80=8", "89-37=52", "52-8=44" ]
Current State: 44:[88, 80, 37, 89], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [37, 89, 8] Generated Node #2: [37, 89, 8] from Operation: 88-80=8 Current State: 44:[37, 89, 8], Operations: ['88-80=8'] Exploring Operation: 89-37=52, Resulting Numbers: [8, 52] Generated Node #3: [8, 52] from Operation: 89-37=52 Current State: 44:[8, 52], Operations: ['88-80=8', '89-37=52'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 78, 24, 21 ]
66
[ "23-21=2", "24/2=12", "78-12=66" ]
Current State: 66:[23, 78, 24, 21], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [78, 24, 2] Generated Node #2: [78, 24, 2] from Operation: 23-21=2 Current State: 66:[78, 24, 2], Operations: ['23-21=2'] Exploring Operation: 24/2=12, Resulting Numbers: [78, 12] Generated Node #3: [78, 12] from Operation: 24/2=12 Current State: 66:[78, 12], Operations: ['23-21=2', '24/2=12'] Exploring Operation: 78-12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 89, 65, 5, 65 ]
85
[ "89-5=84", "65/65=1", "84+1=85" ]
Current State: 85:[89, 65, 5, 65], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [65, 65, 84] Generated Node #2: [65, 65, 84] from Operation: 89-5=84 Current State: 85:[65, 65, 84], Operations: ['89-5=84'] Exploring Operation: 65/65=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 65/65=1 Current State: 85:[84, 1], Operations: ['89-5=84', '65/65=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 18, 3, 87 ]
28
[ "18+87=105", "105/3=35", "35-7=28" ]
Current State: 28:[7, 18, 3, 87], Operations: [] Exploring Operation: 18+87=105, Resulting Numbers: [7, 3, 105] Generated Node #2: [7, 3, 105] from Operation: 18+87=105 Current State: 28:[7, 3, 105], Operations: ['18+87=105'] Exploring Operation: 105/3=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 105/3=35 Current State: 28:[7, 35], Operations: ['18+87=105', '105/3=35'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 54, 81, 86, 41 ]
72
[ "81-54=27", "86-41=45", "27+45=72" ]
Current State: 72:[54, 81, 86, 41], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [86, 41, 27] Generated Node #2: [86, 41, 27] from Operation: 81-54=27 Current State: 72:[86, 41, 27], Operations: ['81-54=27'] Exploring Operation: 86-41=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 86-41=45 Current State: 72:[27, 45], Operations: ['81-54=27', '86-41=45'] Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 26, 34, 69 ]
86
[ "36-34=2", "69-26=43", "2*43=86" ]
Current State: 86:[36, 26, 34, 69], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [26, 69, 2] Generated Node #2: [26, 69, 2] from Operation: 36-34=2 Current State: 86:[26, 69, 2], Operations: ['36-34=2'] Exploring Operation: 69-26=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 69-26=43 Current State: 86:[2, 43], Operations: ['36-34=2', '69-26=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 45, 30, 64 ]
28
[ "54*30=1620", "1620/45=36", "64-36=28" ]
Current State: 28:[54, 45, 30, 64], Operations: [] Exploring Operation: 54*30=1620, Resulting Numbers: [45, 64, 1620] Generated Node #2: [45, 64, 1620] from Operation: 54*30=1620 Current State: 28:[45, 64, 1620], Operations: ['54*30=1620'] Exploring Operation: 1620/45=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 1620/45=36 Current State: 28:[64, 36], Operations: ['54*30=1620', '1620/45=36'] Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 7, 66, 44 ]
28
[ "77-66=11", "7*44=308", "308/11=28" ]
Current State: 28:[77, 7, 66, 44], Operations: [] Exploring Operation: 77-66=11, Resulting Numbers: [7, 44, 11] Generated Node #2: [7, 44, 11] from Operation: 77-66=11 Current State: 28:[7, 44, 11], Operations: ['77-66=11'] Exploring Operation: 7*44=308, Resulting Numbers: [11, 308] Generated Node #3: [11, 308] from Operation: 7*44=308 Current State: 28:[11, 308], Operations: ['77-66=11', '7*44=308'] Exploring Operation: 308/11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 19, 70, 3 ]
26
[ "70-19=51", "51/3=17", "43-17=26" ]
Current State: 26:[43, 19, 70, 3], Operations: [] Exploring Operation: 70-19=51, Resulting Numbers: [43, 3, 51] Generated Node #2: [43, 3, 51] from Operation: 70-19=51 Current State: 26:[43, 3, 51], Operations: ['70-19=51'] Exploring Operation: 51/3=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 51/3=17 Current State: 26:[43, 17], Operations: ['70-19=51', '51/3=17'] Exploring Operation: 43-17=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 88, 94, 82 ]
44
[ "94-88=6", "82+6=88", "88/2=44" ]
Current State: 44:[2, 88, 94, 82], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [2, 82, 6] Generated Node #2: [2, 82, 6] from Operation: 94-88=6 Current State: 44:[2, 82, 6], Operations: ['94-88=6'] Exploring Operation: 82+6=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 82+6=88 Current State: 44:[2, 88], Operations: ['94-88=6', '82+6=88'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 7, 15, 48, 1 ]
58
[ "7*15=105", "48-1=47", "105-47=58" ]
Current State: 58:[7, 15, 48, 1], Operations: [] Exploring Operation: 7*15=105, Resulting Numbers: [48, 1, 105] Generated Node #2: [48, 1, 105] from Operation: 7*15=105 Current State: 58:[48, 1, 105], Operations: ['7*15=105'] Exploring Operation: 48-1=47, Resulting Numbers: [105, 47] Generated Node #3: [105, 47] from Operation: 48-1=47 Current State: 58:[105, 47], Operations: ['7*15=105', '48-1=47'] Exploring Operation: 105-47=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 32, 14, 34, 16 ]
96
[ "32+14=46", "34+16=50", "46+50=96" ]
Current State: 96:[32, 14, 34, 16], Operations: [] Exploring Operation: 32+14=46, Resulting Numbers: [34, 16, 46] Generated Node #2: [34, 16, 46] from Operation: 32+14=46 Current State: 96:[34, 16, 46], Operations: ['32+14=46'] Exploring Operation: 34+16=50, Resulting Numbers: [46, 50] Generated Node #3: [46, 50] from Operation: 34+16=50 Current State: 96:[46, 50], Operations: ['32+14=46', '34+16=50'] Exploring Operation: 46+50=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 77, 71, 53 ]
53
[ "77-5=72", "72-71=1", "53*1=53" ]
Current State: 53:[5, 77, 71, 53], Operations: [] Exploring Operation: 77-5=72, Resulting Numbers: [71, 53, 72] Generated Node #2: [71, 53, 72] from Operation: 77-5=72 Current State: 53:[71, 53, 72], Operations: ['77-5=72'] Exploring Operation: 72-71=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 72-71=1 Current State: 53:[53, 1], Operations: ['77-5=72', '72-71=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 10, 76, 47 ]
65
[ "26+10=36", "76-47=29", "36+29=65" ]
Current State: 65:[26, 10, 76, 47], Operations: [] Exploring Operation: 26+10=36, Resulting Numbers: [76, 47, 36] Generated Node #2: [76, 47, 36] from Operation: 26+10=36 Current State: 65:[76, 47, 36], Operations: ['26+10=36'] Exploring Operation: 76-47=29, Resulting Numbers: [36, 29] Generated Node #3: [36, 29] from Operation: 76-47=29 Current State: 65:[36, 29], Operations: ['26+10=36', '76-47=29'] Exploring Operation: 36+29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 80, 46, 40, 45 ]
29
[ "80-46=34", "45-40=5", "34-5=29" ]
Current State: 29:[80, 46, 40, 45], Operations: [] Exploring Operation: 80-46=34, Resulting Numbers: [40, 45, 34] Generated Node #2: [40, 45, 34] from Operation: 80-46=34 Current State: 29:[40, 45, 34], Operations: ['80-46=34'] Exploring Operation: 45-40=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 45-40=5 Current State: 29:[34, 5], Operations: ['80-46=34', '45-40=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 5, 73, 24, 30 ]
17
[ "5*24=120", "73+30=103", "120-103=17" ]
Current State: 17:[5, 73, 24, 30], Operations: [] Exploring Operation: 5*24=120, Resulting Numbers: [73, 30, 120] Generated Node #2: [73, 30, 120] from Operation: 5*24=120 Current State: 17:[73, 30, 120], Operations: ['5*24=120'] Exploring Operation: 73+30=103, Resulting Numbers: [120, 103] Generated Node #3: [120, 103] from Operation: 73+30=103 Current State: 17:[120, 103], Operations: ['5*24=120', '73+30=103'] Exploring Operation: 120-103=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 2, 83, 90 ]
76
[ "1*2=2", "83*2=166", "166-90=76" ]
Current State: 76:[1, 2, 83, 90], Operations: [] Exploring Operation: 1*2=2, Resulting Numbers: [83, 90, 2] Generated Node #2: [83, 90, 2] from Operation: 1*2=2 Current State: 76:[83, 90, 2], Operations: ['1*2=2'] Exploring Operation: 83*2=166, Resulting Numbers: [90, 166] Generated Node #3: [90, 166] from Operation: 83*2=166 Current State: 76:[90, 166], Operations: ['1*2=2', '83*2=166'] Exploring Operation: 166-90=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 92, 81, 81, 93 ]
92
[ "81-81=0", "93*0=0", "92+0=92" ]
Current State: 92:[92, 81, 81, 93], Operations: [] Exploring Operation: 81-81=0, Resulting Numbers: [92, 93, 0] Generated Node #2: [92, 93, 0] from Operation: 81-81=0 Current State: 92:[92, 93, 0], Operations: ['81-81=0'] Exploring Operation: 93*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 93*0=0 Current State: 92:[92, 0], Operations: ['81-81=0', '93*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 15, 67, 30, 33 ]
22
[ "33-30=3", "15*3=45", "67-45=22" ]
Current State: 22:[15, 67, 30, 33], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [15, 67, 3] Generated Node #2: [15, 67, 3] from Operation: 33-30=3 Current State: 22:[15, 67, 3], Operations: ['33-30=3'] Exploring Operation: 15*3=45, Resulting Numbers: [67, 45] Generated Node #3: [67, 45] from Operation: 15*3=45 Current State: 22:[67, 45], Operations: ['33-30=3', '15*3=45'] Exploring Operation: 67-45=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 92, 7, 51 ]
71
[ "23+92=115", "51-7=44", "115-44=71" ]
Current State: 71:[23, 92, 7, 51], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [7, 51, 115] Generated Node #2: [7, 51, 115] from Operation: 23+92=115 Current State: 71:[7, 51, 115], Operations: ['23+92=115'] Exploring Operation: 51-7=44, Resulting Numbers: [115, 44] Generated Node #3: [115, 44] from Operation: 51-7=44 Current State: 71:[115, 44], Operations: ['23+92=115', '51-7=44'] Exploring Operation: 115-44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 27, 37, 29, 75 ]
36
[ "37-27=10", "75-29=46", "46-10=36" ]
Current State: 36:[27, 37, 29, 75], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [29, 75, 10] Generated Node #2: [29, 75, 10] from Operation: 37-27=10 Current State: 36:[29, 75, 10], Operations: ['37-27=10'] Exploring Operation: 75-29=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 75-29=46 Current State: 36:[10, 46], Operations: ['37-27=10', '75-29=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 24, 11, 95 ]
42
[ "95-89=6", "11*6=66", "66-24=42" ]
Current State: 42:[89, 24, 11, 95], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [24, 11, 6] Generated Node #2: [24, 11, 6] from Operation: 95-89=6 Current State: 42:[24, 11, 6], Operations: ['95-89=6'] Exploring Operation: 11*6=66, Resulting Numbers: [24, 66] Generated Node #3: [24, 66] from Operation: 11*6=66 Current State: 42:[24, 66], Operations: ['95-89=6', '11*6=66'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 10, 75, 7, 8 ]
29
[ "10+75=85", "7*8=56", "85-56=29" ]
Current State: 29:[10, 75, 7, 8], Operations: [] Exploring Operation: 10+75=85, Resulting Numbers: [7, 8, 85] Generated Node #2: [7, 8, 85] from Operation: 10+75=85 Current State: 29:[7, 8, 85], Operations: ['10+75=85'] Exploring Operation: 7*8=56, Resulting Numbers: [85, 56] Generated Node #3: [85, 56] from Operation: 7*8=56 Current State: 29:[85, 56], Operations: ['10+75=85', '7*8=56'] Exploring Operation: 85-56=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 93, 91, 72, 28 ]
58
[ "93-91=2", "28/2=14", "72-14=58" ]
Current State: 58:[93, 91, 72, 28], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [72, 28, 2] Generated Node #2: [72, 28, 2] from Operation: 93-91=2 Current State: 58:[72, 28, 2], Operations: ['93-91=2'] Exploring Operation: 28/2=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 28/2=14 Current State: 58:[72, 14], Operations: ['93-91=2', '28/2=14'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 99, 20, 45, 10 ]
66
[ "20+10=30", "99*30=2970", "2970/45=66" ]
Current State: 66:[99, 20, 45, 10], Operations: [] Exploring Operation: 20+10=30, Resulting Numbers: [99, 45, 30] Generated Node #2: [99, 45, 30] from Operation: 20+10=30 Current State: 66:[99, 45, 30], Operations: ['20+10=30'] Exploring Operation: 99*30=2970, Resulting Numbers: [45, 2970] Generated Node #3: [45, 2970] from Operation: 99*30=2970 Current State: 66:[45, 2970], Operations: ['20+10=30', '99*30=2970'] Exploring Operation: 2970/45=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 73, 18, 58, 11 ]
71
[ "18+11=29", "58/29=2", "73-2=71" ]
Current State: 71:[73, 18, 58, 11], Operations: [] Exploring Operation: 18+11=29, Resulting Numbers: [73, 58, 29] Generated Node #2: [73, 58, 29] from Operation: 18+11=29 Current State: 71:[73, 58, 29], Operations: ['18+11=29'] Exploring Operation: 58/29=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 58/29=2 Current State: 71:[73, 2], Operations: ['18+11=29', '58/29=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 31, 18, 25 ]
53
[ "91-31=60", "25-18=7", "60-7=53" ]
Current State: 53:[91, 31, 18, 25], Operations: [] Exploring Operation: 91-31=60, Resulting Numbers: [18, 25, 60] Generated Node #2: [18, 25, 60] from Operation: 91-31=60 Current State: 53:[18, 25, 60], Operations: ['91-31=60'] Exploring Operation: 25-18=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 25-18=7 Current State: 53:[60, 7], Operations: ['91-31=60', '25-18=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 20, 61, 4 ]
99
[ "54-20=34", "61+4=65", "34+65=99" ]
Current State: 99:[54, 20, 61, 4], Operations: [] Exploring Operation: 54-20=34, Resulting Numbers: [61, 4, 34] Generated Node #2: [61, 4, 34] from Operation: 54-20=34 Current State: 99:[61, 4, 34], Operations: ['54-20=34'] Exploring Operation: 61+4=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 61+4=65 Current State: 99:[34, 65], Operations: ['54-20=34', '61+4=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 11, 71, 4 ]
77
[ "74-71=3", "4+3=7", "11*7=77" ]
Current State: 77:[74, 11, 71, 4], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [11, 4, 3] Generated Node #2: [11, 4, 3] from Operation: 74-71=3 Current State: 77:[11, 4, 3], Operations: ['74-71=3'] Exploring Operation: 4+3=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 4+3=7 Current State: 77:[11, 7], Operations: ['74-71=3', '4+3=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 46, 45, 80, 79 ]
90
[ "46+45=91", "80-79=1", "91-1=90" ]
Current State: 90:[46, 45, 80, 79], Operations: [] Exploring Operation: 46+45=91, Resulting Numbers: [80, 79, 91] Generated Node #2: [80, 79, 91] from Operation: 46+45=91 Current State: 90:[80, 79, 91], Operations: ['46+45=91'] Exploring Operation: 80-79=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 80-79=1 Current State: 90:[91, 1], Operations: ['46+45=91', '80-79=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 26, 3, 71, 12 ]
36
[ "26-3=23", "71-12=59", "59-23=36" ]
Current State: 36:[26, 3, 71, 12], Operations: [] Exploring Operation: 26-3=23, Resulting Numbers: [71, 12, 23] Generated Node #2: [71, 12, 23] from Operation: 26-3=23 Current State: 36:[71, 12, 23], Operations: ['26-3=23'] Exploring Operation: 71-12=59, Resulting Numbers: [23, 59] Generated Node #3: [23, 59] from Operation: 71-12=59 Current State: 36:[23, 59], Operations: ['26-3=23', '71-12=59'] Exploring Operation: 59-23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 70, 63, 14 ]
50
[ "25*14=350", "70-63=7", "350/7=50" ]
Current State: 50:[25, 70, 63, 14], Operations: [] Exploring Operation: 25*14=350, Resulting Numbers: [70, 63, 350] Generated Node #2: [70, 63, 350] from Operation: 25*14=350 Current State: 50:[70, 63, 350], Operations: ['25*14=350'] Exploring Operation: 70-63=7, Resulting Numbers: [350, 7] Generated Node #3: [350, 7] from Operation: 70-63=7 Current State: 50:[350, 7], Operations: ['25*14=350', '70-63=7'] Exploring Operation: 350/7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 57, 24, 72 ]
50
[ "57-55=2", "72-24=48", "2+48=50" ]
Current State: 50:[55, 57, 24, 72], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [24, 72, 2] Generated Node #2: [24, 72, 2] from Operation: 57-55=2 Current State: 50:[24, 72, 2], Operations: ['57-55=2'] Exploring Operation: 72-24=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 72-24=48 Current State: 50:[2, 48], Operations: ['57-55=2', '72-24=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 10, 32, 35, 69 ]
43
[ "32*35=1120", "1120/10=112", "112-69=43" ]
Current State: 43:[10, 32, 35, 69], Operations: [] Exploring Operation: 32*35=1120, Resulting Numbers: [10, 69, 1120] Generated Node #2: [10, 69, 1120] from Operation: 32*35=1120 Current State: 43:[10, 69, 1120], Operations: ['32*35=1120'] Exploring Operation: 1120/10=112, Resulting Numbers: [69, 112] Generated Node #3: [69, 112] from Operation: 1120/10=112 Current State: 43:[69, 112], Operations: ['32*35=1120', '1120/10=112'] Exploring Operation: 112-69=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 92, 28, 8 ]
52
[ "92+28=120", "120/2=60", "60-8=52" ]
Current State: 52:[2, 92, 28, 8], Operations: [] Exploring Operation: 92+28=120, Resulting Numbers: [2, 8, 120] Generated Node #2: [2, 8, 120] from Operation: 92+28=120 Current State: 52:[2, 8, 120], Operations: ['92+28=120'] Exploring Operation: 120/2=60, Resulting Numbers: [8, 60] Generated Node #3: [8, 60] from Operation: 120/2=60 Current State: 52:[8, 60], Operations: ['92+28=120', '120/2=60'] Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 52, 47, 58 ]
67
[ "52-14=38", "47+58=105", "105-38=67" ]
Current State: 67:[14, 52, 47, 58], Operations: [] Exploring Operation: 52-14=38, Resulting Numbers: [47, 58, 38] Generated Node #2: [47, 58, 38] from Operation: 52-14=38 Current State: 67:[47, 58, 38], Operations: ['52-14=38'] Exploring Operation: 47+58=105, Resulting Numbers: [38, 105] Generated Node #3: [38, 105] from Operation: 47+58=105 Current State: 67:[38, 105], Operations: ['52-14=38', '47+58=105'] Exploring Operation: 105-38=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 20, 15, 1 ]
38
[ "3+20=23", "15*1=15", "23+15=38" ]
Current State: 38:[3, 20, 15, 1], Operations: [] Exploring Operation: 3+20=23, Resulting Numbers: [15, 1, 23] Generated Node #2: [15, 1, 23] from Operation: 3+20=23 Current State: 38:[15, 1, 23], Operations: ['3+20=23'] Exploring Operation: 15*1=15, Resulting Numbers: [23, 15] Generated Node #3: [23, 15] from Operation: 15*1=15 Current State: 38:[23, 15], Operations: ['3+20=23', '15*1=15'] Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 53, 30, 52 ]
79
[ "30-28=2", "52/2=26", "53+26=79" ]
Current State: 79:[28, 53, 30, 52], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [53, 52, 2] Generated Node #2: [53, 52, 2] from Operation: 30-28=2 Current State: 79:[53, 52, 2], Operations: ['30-28=2'] Exploring Operation: 52/2=26, Resulting Numbers: [53, 26] Generated Node #3: [53, 26] from Operation: 52/2=26 Current State: 79:[53, 26], Operations: ['30-28=2', '52/2=26'] Exploring Operation: 53+26=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 50, 14, 32, 1 ]
31
[ "50+14=64", "32+1=33", "64-33=31" ]
Current State: 31:[50, 14, 32, 1], Operations: [] Exploring Operation: 50+14=64, Resulting Numbers: [32, 1, 64] Generated Node #2: [32, 1, 64] from Operation: 50+14=64 Current State: 31:[32, 1, 64], Operations: ['50+14=64'] Exploring Operation: 32+1=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 32+1=33 Current State: 31:[64, 33], Operations: ['50+14=64', '32+1=33'] Exploring Operation: 64-33=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 52, 97, 8 ]
73
[ "97+8=105", "105/5=21", "52+21=73" ]
Current State: 73:[5, 52, 97, 8], Operations: [] Exploring Operation: 97+8=105, Resulting Numbers: [5, 52, 105] Generated Node #2: [5, 52, 105] from Operation: 97+8=105 Current State: 73:[5, 52, 105], Operations: ['97+8=105'] Exploring Operation: 105/5=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 105/5=21 Current State: 73:[52, 21], Operations: ['97+8=105', '105/5=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 91, 77, 38, 42 ]
41
[ "91-77=14", "42/14=3", "38+3=41" ]
Current State: 41:[91, 77, 38, 42], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [38, 42, 14] Generated Node #2: [38, 42, 14] from Operation: 91-77=14 Current State: 41:[38, 42, 14], Operations: ['91-77=14'] Exploring Operation: 42/14=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 42/14=3 Current State: 41:[38, 3], Operations: ['91-77=14', '42/14=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 72, 4, 91 ]
97
[ "8+4=12", "72/12=6", "91+6=97" ]
Current State: 97:[8, 72, 4, 91], Operations: [] Exploring Operation: 8+4=12, Resulting Numbers: [72, 91, 12] Generated Node #2: [72, 91, 12] from Operation: 8+4=12 Current State: 97:[72, 91, 12], Operations: ['8+4=12'] Exploring Operation: 72/12=6, Resulting Numbers: [91, 6] Generated Node #3: [91, 6] from Operation: 72/12=6 Current State: 97:[91, 6], Operations: ['8+4=12', '72/12=6'] Exploring Operation: 91+6=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 58, 2, 10, 85 ]
21
[ "58*2=116", "10+85=95", "116-95=21" ]
Current State: 21:[58, 2, 10, 85], Operations: [] Exploring Operation: 58*2=116, Resulting Numbers: [10, 85, 116] Generated Node #2: [10, 85, 116] from Operation: 58*2=116 Current State: 21:[10, 85, 116], Operations: ['58*2=116'] Exploring Operation: 10+85=95, Resulting Numbers: [116, 95] Generated Node #3: [116, 95] from Operation: 10+85=95 Current State: 21:[116, 95], Operations: ['58*2=116', '10+85=95'] Exploring Operation: 116-95=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 46, 30, 43, 71 ]
81
[ "46-43=3", "30/3=10", "71+10=81" ]
Current State: 81:[46, 30, 43, 71], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [30, 71, 3] Generated Node #2: [30, 71, 3] from Operation: 46-43=3 Current State: 81:[30, 71, 3], Operations: ['46-43=3'] Exploring Operation: 30/3=10, Resulting Numbers: [71, 10] Generated Node #3: [71, 10] from Operation: 30/3=10 Current State: 81:[71, 10], Operations: ['46-43=3', '30/3=10'] Exploring Operation: 71+10=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 54, 37, 54, 25 ]
13
[ "54/54=1", "37-25=12", "1+12=13" ]
Current State: 13:[54, 37, 54, 25], Operations: [] Exploring Operation: 54/54=1, Resulting Numbers: [37, 25, 1] Generated Node #2: [37, 25, 1] from Operation: 54/54=1 Current State: 13:[37, 25, 1], Operations: ['54/54=1'] Exploring Operation: 37-25=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 37-25=12 Current State: 13:[1, 12], Operations: ['54/54=1', '37-25=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 95, 7, 99, 86 ]
89
[ "95+7=102", "99-86=13", "102-13=89" ]
Current State: 89:[95, 7, 99, 86], Operations: [] Exploring Operation: 95+7=102, Resulting Numbers: [99, 86, 102] Generated Node #2: [99, 86, 102] from Operation: 95+7=102 Current State: 89:[99, 86, 102], Operations: ['95+7=102'] Exploring Operation: 99-86=13, Resulting Numbers: [102, 13] Generated Node #3: [102, 13] from Operation: 99-86=13 Current State: 89:[102, 13], Operations: ['95+7=102', '99-86=13'] Exploring Operation: 102-13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 54, 63, 5, 22 ]
71
[ "63+22=85", "85/5=17", "54+17=71" ]
Current State: 71:[54, 63, 5, 22], Operations: [] Exploring Operation: 63+22=85, Resulting Numbers: [54, 5, 85] Generated Node #2: [54, 5, 85] from Operation: 63+22=85 Current State: 71:[54, 5, 85], Operations: ['63+22=85'] Exploring Operation: 85/5=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 85/5=17 Current State: 71:[54, 17], Operations: ['63+22=85', '85/5=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 98, 21, 91, 65 ]
93
[ "98+21=119", "91-65=26", "119-26=93" ]
Current State: 93:[98, 21, 91, 65], Operations: [] Exploring Operation: 98+21=119, Resulting Numbers: [91, 65, 119] Generated Node #2: [91, 65, 119] from Operation: 98+21=119 Current State: 93:[91, 65, 119], Operations: ['98+21=119'] Exploring Operation: 91-65=26, Resulting Numbers: [119, 26] Generated Node #3: [119, 26] from Operation: 91-65=26 Current State: 93:[119, 26], Operations: ['98+21=119', '91-65=26'] Exploring Operation: 119-26=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 57, 14, 95 ]
57
[ "81+57=138", "95-14=81", "138-81=57" ]
Current State: 57:[81, 57, 14, 95], Operations: [] Exploring Operation: 81+57=138, Resulting Numbers: [14, 95, 138] Generated Node #2: [14, 95, 138] from Operation: 81+57=138 Current State: 57:[14, 95, 138], Operations: ['81+57=138'] Exploring Operation: 95-14=81, Resulting Numbers: [138, 81] Generated Node #3: [138, 81] from Operation: 95-14=81 Current State: 57:[138, 81], Operations: ['81+57=138', '95-14=81'] Exploring Operation: 138-81=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 75, 32, 53, 78 ]
82
[ "75+32=107", "78-53=25", "107-25=82" ]
Current State: 82:[75, 32, 53, 78], Operations: [] Exploring Operation: 75+32=107, Resulting Numbers: [53, 78, 107] Generated Node #2: [53, 78, 107] from Operation: 75+32=107 Current State: 82:[53, 78, 107], Operations: ['75+32=107'] Exploring Operation: 78-53=25, Resulting Numbers: [107, 25] Generated Node #3: [107, 25] from Operation: 78-53=25 Current State: 82:[107, 25], Operations: ['75+32=107', '78-53=25'] Exploring Operation: 107-25=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 25, 34, 50, 58 ]
51
[ "25+34=59", "58-50=8", "59-8=51" ]
Current State: 51:[25, 34, 50, 58], Operations: [] Exploring Operation: 25+34=59, Resulting Numbers: [50, 58, 59] Generated Node #2: [50, 58, 59] from Operation: 25+34=59 Current State: 51:[50, 58, 59], Operations: ['25+34=59'] Exploring Operation: 58-50=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 58-50=8 Current State: 51:[59, 8], Operations: ['25+34=59', '58-50=8'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 39, 41, 5, 23 ]
69
[ "41-39=2", "5-2=3", "23*3=69" ]
Current State: 69:[39, 41, 5, 23], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [5, 23, 2] Generated Node #2: [5, 23, 2] from Operation: 41-39=2 Current State: 69:[5, 23, 2], Operations: ['41-39=2'] Exploring Operation: 5-2=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 5-2=3 Current State: 69:[23, 3], Operations: ['41-39=2', '5-2=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 76, 61, 65, 97 ]
78
[ "65-61=4", "76/4=19", "97-19=78" ]
Current State: 78:[76, 61, 65, 97], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [76, 97, 4] Generated Node #2: [76, 97, 4] from Operation: 65-61=4 Current State: 78:[76, 97, 4], Operations: ['65-61=4'] Exploring Operation: 76/4=19, Resulting Numbers: [97, 19] Generated Node #3: [97, 19] from Operation: 76/4=19 Current State: 78:[97, 19], Operations: ['65-61=4', '76/4=19'] Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 44, 84, 66 ]
38
[ "68+44=112", "84+66=150", "150-112=38" ]
Current State: 38:[68, 44, 84, 66], Operations: [] Exploring Operation: 68+44=112, Resulting Numbers: [84, 66, 112] Generated Node #2: [84, 66, 112] from Operation: 68+44=112 Current State: 38:[84, 66, 112], Operations: ['68+44=112'] Exploring Operation: 84+66=150, Resulting Numbers: [112, 150] Generated Node #3: [112, 150] from Operation: 84+66=150 Current State: 38:[112, 150], Operations: ['68+44=112', '84+66=150'] Exploring Operation: 150-112=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 29, 10, 69 ]
59
[ "29-9=20", "10+69=79", "79-20=59" ]
Current State: 59:[9, 29, 10, 69], Operations: [] Exploring Operation: 29-9=20, Resulting Numbers: [10, 69, 20] Generated Node #2: [10, 69, 20] from Operation: 29-9=20 Current State: 59:[10, 69, 20], Operations: ['29-9=20'] Exploring Operation: 10+69=79, Resulting Numbers: [20, 79] Generated Node #3: [20, 79] from Operation: 10+69=79 Current State: 59:[20, 79], Operations: ['29-9=20', '10+69=79'] Exploring Operation: 79-20=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 9, 90, 11 ]
25
[ "90/18=5", "9+11=20", "5+20=25" ]
Current State: 25:[18, 9, 90, 11], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [9, 11, 5] Generated Node #2: [9, 11, 5] from Operation: 90/18=5 Current State: 25:[9, 11, 5], Operations: ['90/18=5'] Exploring Operation: 9+11=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 9+11=20 Current State: 25:[5, 20], Operations: ['90/18=5', '9+11=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 57, 47, 38 ]
66
[ "2*38=76", "57-47=10", "76-10=66" ]
Current State: 66:[2, 57, 47, 38], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [57, 47, 76] Generated Node #2: [57, 47, 76] from Operation: 2*38=76 Current State: 66:[57, 47, 76], Operations: ['2*38=76'] Exploring Operation: 57-47=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 57-47=10 Current State: 66:[76, 10], Operations: ['2*38=76', '57-47=10'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 92, 5, 9, 95 ]
30
[ "92+9=101", "101-95=6", "5*6=30" ]
Current State: 30:[92, 5, 9, 95], Operations: [] Exploring Operation: 92+9=101, Resulting Numbers: [5, 95, 101] Generated Node #2: [5, 95, 101] from Operation: 92+9=101 Current State: 30:[5, 95, 101], Operations: ['92+9=101'] Exploring Operation: 101-95=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 101-95=6 Current State: 30:[5, 6], Operations: ['92+9=101', '101-95=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 95, 37, 20 ]
39
[ "1+95=96", "37+20=57", "96-57=39" ]
Current State: 39:[1, 95, 37, 20], Operations: [] Exploring Operation: 1+95=96, Resulting Numbers: [37, 20, 96] Generated Node #2: [37, 20, 96] from Operation: 1+95=96 Current State: 39:[37, 20, 96], Operations: ['1+95=96'] Exploring Operation: 37+20=57, Resulting Numbers: [96, 57] Generated Node #3: [96, 57] from Operation: 37+20=57 Current State: 39:[96, 57], Operations: ['1+95=96', '37+20=57'] Exploring Operation: 96-57=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 20, 7, 8 ]
60
[ "7-2=5", "20-8=12", "5*12=60" ]
Current State: 60:[2, 20, 7, 8], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [20, 8, 5] Generated Node #2: [20, 8, 5] from Operation: 7-2=5 Current State: 60:[20, 8, 5], Operations: ['7-2=5'] Exploring Operation: 20-8=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 20-8=12 Current State: 60:[5, 12], Operations: ['7-2=5', '20-8=12'] Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 37, 81, 98, 43 ]
63
[ "37+81=118", "98-43=55", "118-55=63" ]
Current State: 63:[37, 81, 98, 43], Operations: [] Exploring Operation: 37+81=118, Resulting Numbers: [98, 43, 118] Generated Node #2: [98, 43, 118] from Operation: 37+81=118 Current State: 63:[98, 43, 118], Operations: ['37+81=118'] Exploring Operation: 98-43=55, Resulting Numbers: [118, 55] Generated Node #3: [118, 55] from Operation: 98-43=55 Current State: 63:[118, 55], Operations: ['37+81=118', '98-43=55'] Exploring Operation: 118-55=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4