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
[ 9, 24, 71, 24 ]
79
[ "9+71=80", "24/24=1", "80-1=79" ]
Current State: 79:[9, 24, 71, 24], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [24, 24, 80] Generated Node #2: [24, 24, 80] from Operation: 9+71=80 Current State: 79:[24, 24, 80], Operations: ['9+71=80'] Exploring Operation: 24/24=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 24/24=1 Current State: 79:[80, 1], Operations: ['9+71=80', '24/24=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 44, 88, 81, 54 ]
17
[ "88-44=44", "81-54=27", "44-27=17" ]
Current State: 17:[44, 88, 81, 54], Operations: [] Exploring Operation: 88-44=44, Resulting Numbers: [81, 54, 44] Generated Node #2: [81, 54, 44] from Operation: 88-44=44 Current State: 17:[81, 54, 44], Operations: ['88-44=44'] Exploring Operation: 81-54=27, Resulting Numbers: [44, 27] Generated Node #3: [44, 27] from Operation: 81-54=27 Current State: 17:[44, 27], Operations: ['88-44=44', '81-54=27'] Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 3, 71, 10 ]
41
[ "34*3=102", "71-10=61", "102-61=41" ]
Current State: 41:[34, 3, 71, 10], Operations: [] Exploring Operation: 34*3=102, Resulting Numbers: [71, 10, 102] Generated Node #2: [71, 10, 102] from Operation: 34*3=102 Current State: 41:[71, 10, 102], Operations: ['34*3=102'] Exploring Operation: 71-10=61, Resulting Numbers: [102, 61] Generated Node #3: [102, 61] from Operation: 71-10=61 Current State: 41:[102, 61], Operations: ['34*3=102', '71-10=61'] Exploring Operation: 102-61=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 80, 27, 14, 69 ]
24
[ "80+27=107", "14+69=83", "107-83=24" ]
Current State: 24:[80, 27, 14, 69], Operations: [] Exploring Operation: 80+27=107, Resulting Numbers: [14, 69, 107] Generated Node #2: [14, 69, 107] from Operation: 80+27=107 Current State: 24:[14, 69, 107], Operations: ['80+27=107'] Exploring Operation: 14+69=83, Resulting Numbers: [107, 83] Generated Node #3: [107, 83] from Operation: 14+69=83 Current State: 24:[107, 83], Operations: ['80+27=107', '14+69=83'] Exploring Operation: 107-83=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 86, 84, 2, 99 ]
55
[ "99-86=13", "84/2=42", "13+42=55" ]
Current State: 55:[86, 84, 2, 99], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [84, 2, 13] Generated Node #2: [84, 2, 13] from Operation: 99-86=13 Current State: 55:[84, 2, 13], Operations: ['99-86=13'] Exploring Operation: 84/2=42, Resulting Numbers: [13, 42] Generated Node #3: [13, 42] from Operation: 84/2=42 Current State: 55:[13, 42], Operations: ['99-86=13', '84/2=42'] Exploring Operation: 13+42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 33, 34, 35, 45 ]
78
[ "33+45=78", "35-34=1", "78*1=78" ]
Current State: 78:[33, 34, 35, 45], Operations: [] Exploring Operation: 33+45=78, Resulting Numbers: [34, 35, 78] Generated Node #2: [34, 35, 78] from Operation: 33+45=78 Current State: 78:[34, 35, 78], Operations: ['33+45=78'] Exploring Operation: 35-34=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 35-34=1 Current State: 78:[78, 1], Operations: ['33+45=78', '35-34=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 34, 40, 92 ]
94
[ "72-34=38", "40+92=132", "132-38=94" ]
Current State: 94:[72, 34, 40, 92], Operations: [] Exploring Operation: 72-34=38, Resulting Numbers: [40, 92, 38] Generated Node #2: [40, 92, 38] from Operation: 72-34=38 Current State: 94:[40, 92, 38], Operations: ['72-34=38'] Exploring Operation: 40+92=132, Resulting Numbers: [38, 132] Generated Node #3: [38, 132] from Operation: 40+92=132 Current State: 94:[38, 132], Operations: ['72-34=38', '40+92=132'] Exploring Operation: 132-38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 13, 42, 38 ]
68
[ "13-1=12", "42+38=80", "80-12=68" ]
Current State: 68:[1, 13, 42, 38], Operations: [] Exploring Operation: 13-1=12, Resulting Numbers: [42, 38, 12] Generated Node #2: [42, 38, 12] from Operation: 13-1=12 Current State: 68:[42, 38, 12], Operations: ['13-1=12'] Exploring Operation: 42+38=80, Resulting Numbers: [12, 80] Generated Node #3: [12, 80] from Operation: 42+38=80 Current State: 68:[12, 80], Operations: ['13-1=12', '42+38=80'] Exploring Operation: 80-12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 21, 91, 95 ]
56
[ "73-21=52", "95-91=4", "52+4=56" ]
Current State: 56:[73, 21, 91, 95], Operations: [] Exploring Operation: 73-21=52, Resulting Numbers: [91, 95, 52] Generated Node #2: [91, 95, 52] from Operation: 73-21=52 Current State: 56:[91, 95, 52], Operations: ['73-21=52'] Exploring Operation: 95-91=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 95-91=4 Current State: 56:[52, 4], Operations: ['73-21=52', '95-91=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 25, 84, 33, 6 ]
70
[ "25+84=109", "33+6=39", "109-39=70" ]
Current State: 70:[25, 84, 33, 6], Operations: [] Exploring Operation: 25+84=109, Resulting Numbers: [33, 6, 109] Generated Node #2: [33, 6, 109] from Operation: 25+84=109 Current State: 70:[33, 6, 109], Operations: ['25+84=109'] Exploring Operation: 33+6=39, Resulting Numbers: [109, 39] Generated Node #3: [109, 39] from Operation: 33+6=39 Current State: 70:[109, 39], Operations: ['25+84=109', '33+6=39'] Exploring Operation: 109-39=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 15, 76, 49 ]
72
[ "76-49=27", "40*27=1080", "1080/15=72" ]
Current State: 72:[40, 15, 76, 49], Operations: [] Exploring Operation: 76-49=27, Resulting Numbers: [40, 15, 27] Generated Node #2: [40, 15, 27] from Operation: 76-49=27 Current State: 72:[40, 15, 27], Operations: ['76-49=27'] Exploring Operation: 40*27=1080, Resulting Numbers: [15, 1080] Generated Node #3: [15, 1080] from Operation: 40*27=1080 Current State: 72:[15, 1080], Operations: ['76-49=27', '40*27=1080'] Exploring Operation: 1080/15=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 41, 47, 49 ]
91
[ "47-41=6", "7*6=42", "49+42=91" ]
Current State: 91:[7, 41, 47, 49], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [7, 49, 6] Generated Node #2: [7, 49, 6] from Operation: 47-41=6 Current State: 91:[7, 49, 6], Operations: ['47-41=6'] Exploring Operation: 7*6=42, Resulting Numbers: [49, 42] Generated Node #3: [49, 42] from Operation: 7*6=42 Current State: 91:[49, 42], Operations: ['47-41=6', '7*6=42'] Exploring Operation: 49+42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 19, 81, 84, 89 ]
95
[ "19+81=100", "89-84=5", "100-5=95" ]
Current State: 95:[19, 81, 84, 89], Operations: [] Exploring Operation: 19+81=100, Resulting Numbers: [84, 89, 100] Generated Node #2: [84, 89, 100] from Operation: 19+81=100 Current State: 95:[84, 89, 100], Operations: ['19+81=100'] Exploring Operation: 89-84=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 89-84=5 Current State: 95:[100, 5], Operations: ['19+81=100', '89-84=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 52, 56, 50 ]
82
[ "52*56=2912", "2912/91=32", "50+32=82" ]
Current State: 82:[91, 52, 56, 50], Operations: [] Exploring Operation: 52*56=2912, Resulting Numbers: [91, 50, 2912] Generated Node #2: [91, 50, 2912] from Operation: 52*56=2912 Current State: 82:[91, 50, 2912], Operations: ['52*56=2912'] Exploring Operation: 2912/91=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 2912/91=32 Current State: 82:[50, 32], Operations: ['52*56=2912', '2912/91=32'] Exploring Operation: 50+32=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 40, 28, 40, 2 ]
27
[ "40/40=1", "28-2=26", "1+26=27" ]
Current State: 27:[40, 28, 40, 2], Operations: [] Exploring Operation: 40/40=1, Resulting Numbers: [28, 2, 1] Generated Node #2: [28, 2, 1] from Operation: 40/40=1 Current State: 27:[28, 2, 1], Operations: ['40/40=1'] Exploring Operation: 28-2=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 28-2=26 Current State: 27:[1, 26], Operations: ['40/40=1', '28-2=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 79, 34, 37 ]
32
[ "17+79=96", "37-34=3", "96/3=32" ]
Current State: 32:[17, 79, 34, 37], Operations: [] Exploring Operation: 17+79=96, Resulting Numbers: [34, 37, 96] Generated Node #2: [34, 37, 96] from Operation: 17+79=96 Current State: 32:[34, 37, 96], Operations: ['17+79=96'] Exploring Operation: 37-34=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 37-34=3 Current State: 32:[96, 3], Operations: ['17+79=96', '37-34=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 25, 27, 17, 78 ]
93
[ "27-25=2", "17+78=95", "95-2=93" ]
Current State: 93:[25, 27, 17, 78], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [17, 78, 2] Generated Node #2: [17, 78, 2] from Operation: 27-25=2 Current State: 93:[17, 78, 2], Operations: ['27-25=2'] Exploring Operation: 17+78=95, Resulting Numbers: [2, 95] Generated Node #3: [2, 95] from Operation: 17+78=95 Current State: 93:[2, 95], Operations: ['27-25=2', '17+78=95'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 3, 12, 96 ]
72
[ "4*3=12", "96-12=84", "84-12=72" ]
Current State: 72:[4, 3, 12, 96], Operations: [] Exploring Operation: 4*3=12, Resulting Numbers: [12, 96, 12] Generated Node #2: [12, 96, 12] from Operation: 4*3=12 Current State: 72:[12, 96, 12], Operations: ['4*3=12'] Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,72 equal: Goal Reached Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 26, 27, 92, 30 ]
14
[ "30-27=3", "26*3=78", "92-78=14" ]
Current State: 14:[26, 27, 92, 30], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [26, 92, 3] Generated Node #2: [26, 92, 3] from Operation: 30-27=3 Current State: 14:[26, 92, 3], Operations: ['30-27=3'] Exploring Operation: 26*3=78, Resulting Numbers: [92, 78] Generated Node #3: [92, 78] from Operation: 26*3=78 Current State: 14:[92, 78], Operations: ['30-27=3', '26*3=78'] Exploring Operation: 92-78=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 85, 15, 93 ]
89
[ "15-13=2", "85+93=178", "178/2=89" ]
Current State: 89:[13, 85, 15, 93], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [85, 93, 2] Generated Node #2: [85, 93, 2] from Operation: 15-13=2 Current State: 89:[85, 93, 2], Operations: ['15-13=2'] Exploring Operation: 85+93=178, Resulting Numbers: [2, 178] Generated Node #3: [2, 178] from Operation: 85+93=178 Current State: 89:[2, 178], Operations: ['15-13=2', '85+93=178'] Exploring Operation: 178/2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 20, 39, 6, 54 ]
50
[ "20+39=59", "54/6=9", "59-9=50" ]
Current State: 50:[20, 39, 6, 54], Operations: [] Exploring Operation: 20+39=59, Resulting Numbers: [6, 54, 59] Generated Node #2: [6, 54, 59] from Operation: 20+39=59 Current State: 50:[6, 54, 59], Operations: ['20+39=59'] Exploring Operation: 54/6=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 54/6=9 Current State: 50:[59, 9], Operations: ['20+39=59', '54/6=9'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 88, 14, 95 ]
93
[ "5+14=19", "95/19=5", "88+5=93" ]
Current State: 93:[5, 88, 14, 95], Operations: [] Exploring Operation: 5+14=19, Resulting Numbers: [88, 95, 19] Generated Node #2: [88, 95, 19] from Operation: 5+14=19 Current State: 93:[88, 95, 19], Operations: ['5+14=19'] Exploring Operation: 95/19=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 95/19=5 Current State: 93:[88, 5], Operations: ['5+14=19', '95/19=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 12, 60, 68, 17 ]
12
[ "60-12=48", "68/17=4", "48/4=12" ]
Current State: 12:[12, 60, 68, 17], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [68, 17, 48] Generated Node #2: [68, 17, 48] from Operation: 60-12=48 Current State: 12:[68, 17, 48], Operations: ['60-12=48'] Exploring Operation: 68/17=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 68/17=4 Current State: 12:[48, 4], Operations: ['60-12=48', '68/17=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 97, 67, 27, 15 ]
42
[ "97-67=30", "27-15=12", "30+12=42" ]
Current State: 42:[97, 67, 27, 15], Operations: [] Exploring Operation: 97-67=30, Resulting Numbers: [27, 15, 30] Generated Node #2: [27, 15, 30] from Operation: 97-67=30 Current State: 42:[27, 15, 30], Operations: ['97-67=30'] Exploring Operation: 27-15=12, Resulting Numbers: [30, 12] Generated Node #3: [30, 12] from Operation: 27-15=12 Current State: 42:[30, 12], Operations: ['97-67=30', '27-15=12'] Exploring Operation: 30+12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 94, 45, 51, 48 ]
24
[ "94-45=49", "51-49=2", "48/2=24" ]
Current State: 24:[94, 45, 51, 48], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [51, 48, 49] Generated Node #2: [51, 48, 49] from Operation: 94-45=49 Current State: 24:[51, 48, 49], Operations: ['94-45=49'] Exploring Operation: 51-49=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 51-49=2 Current State: 24:[48, 2], Operations: ['94-45=49', '51-49=2'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 9, 63, 15, 4 ]
36
[ "15-4=11", "9*11=99", "99-63=36" ]
Current State: 36:[9, 63, 15, 4], Operations: [] Exploring Operation: 15-4=11, Resulting Numbers: [9, 63, 11] Generated Node #2: [9, 63, 11] from Operation: 15-4=11 Current State: 36:[9, 63, 11], Operations: ['15-4=11'] Exploring Operation: 9*11=99, Resulting Numbers: [63, 99] Generated Node #3: [63, 99] from Operation: 9*11=99 Current State: 36:[63, 99], Operations: ['15-4=11', '9*11=99'] Exploring Operation: 99-63=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 19, 77, 35, 2 ]
85
[ "35-19=16", "16/2=8", "77+8=85" ]
Current State: 85:[19, 77, 35, 2], Operations: [] Exploring Operation: 35-19=16, Resulting Numbers: [77, 2, 16] Generated Node #2: [77, 2, 16] from Operation: 35-19=16 Current State: 85:[77, 2, 16], Operations: ['35-19=16'] Exploring Operation: 16/2=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 16/2=8 Current State: 85:[77, 8], Operations: ['35-19=16', '16/2=8'] Exploring Operation: 77+8=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 53, 2, 90, 17 ]
52
[ "53+2=55", "90+17=107", "107-55=52" ]
Current State: 52:[53, 2, 90, 17], Operations: [] Exploring Operation: 53+2=55, Resulting Numbers: [90, 17, 55] Generated Node #2: [90, 17, 55] from Operation: 53+2=55 Current State: 52:[90, 17, 55], Operations: ['53+2=55'] Exploring Operation: 90+17=107, Resulting Numbers: [55, 107] Generated Node #3: [55, 107] from Operation: 90+17=107 Current State: 52:[55, 107], Operations: ['53+2=55', '90+17=107'] Exploring Operation: 107-55=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 5, 74, 67 ]
70
[ "2*5=10", "74-67=7", "10*7=70" ]
Current State: 70:[2, 5, 74, 67], Operations: [] Exploring Operation: 2*5=10, Resulting Numbers: [74, 67, 10] Generated Node #2: [74, 67, 10] from Operation: 2*5=10 Current State: 70:[74, 67, 10], Operations: ['2*5=10'] Exploring Operation: 74-67=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 74-67=7 Current State: 70:[10, 7], Operations: ['2*5=10', '74-67=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 7, 4, 10, 94 ]
48
[ "94-10=84", "84/7=12", "4*12=48" ]
Current State: 48:[7, 4, 10, 94], Operations: [] Exploring Operation: 94-10=84, Resulting Numbers: [7, 4, 84] Generated Node #2: [7, 4, 84] from Operation: 94-10=84 Current State: 48:[7, 4, 84], Operations: ['94-10=84'] Exploring Operation: 84/7=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 84/7=12 Current State: 48:[4, 12], Operations: ['94-10=84', '84/7=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 12, 83, 71 ]
94
[ "5*12=60", "83+71=154", "154-60=94" ]
Current State: 94:[5, 12, 83, 71], Operations: [] Exploring Operation: 5*12=60, Resulting Numbers: [83, 71, 60] Generated Node #2: [83, 71, 60] from Operation: 5*12=60 Current State: 94:[83, 71, 60], Operations: ['5*12=60'] Exploring Operation: 83+71=154, Resulting Numbers: [60, 154] Generated Node #3: [60, 154] from Operation: 83+71=154 Current State: 94:[60, 154], Operations: ['5*12=60', '83+71=154'] Exploring Operation: 154-60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 93, 66, 71 ]
87
[ "71-66=5", "30/5=6", "93-6=87" ]
Current State: 87:[30, 93, 66, 71], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [30, 93, 5] Generated Node #2: [30, 93, 5] from Operation: 71-66=5 Current State: 87:[30, 93, 5], Operations: ['71-66=5'] Exploring Operation: 30/5=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 30/5=6 Current State: 87:[93, 6], Operations: ['71-66=5', '30/5=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 55, 71, 3, 63 ]
79
[ "71-63=8", "3*8=24", "55+24=79" ]
Current State: 79:[55, 71, 3, 63], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [55, 3, 8] Generated Node #2: [55, 3, 8] from Operation: 71-63=8 Current State: 79:[55, 3, 8], Operations: ['71-63=8'] Exploring Operation: 3*8=24, Resulting Numbers: [55, 24] Generated Node #3: [55, 24] from Operation: 3*8=24 Current State: 79:[55, 24], Operations: ['71-63=8', '3*8=24'] Exploring Operation: 55+24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 53, 48, 96, 16 ]
44
[ "48+96=144", "144/16=9", "53-9=44" ]
Current State: 44:[53, 48, 96, 16], Operations: [] Exploring Operation: 48+96=144, Resulting Numbers: [53, 16, 144] Generated Node #2: [53, 16, 144] from Operation: 48+96=144 Current State: 44:[53, 16, 144], Operations: ['48+96=144'] Exploring Operation: 144/16=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 144/16=9 Current State: 44:[53, 9], Operations: ['48+96=144', '144/16=9'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 27, 29, 93 ]
72
[ "23+27=50", "29+93=122", "122-50=72" ]
Current State: 72:[23, 27, 29, 93], Operations: [] Exploring Operation: 23+27=50, Resulting Numbers: [29, 93, 50] Generated Node #2: [29, 93, 50] from Operation: 23+27=50 Current State: 72:[29, 93, 50], Operations: ['23+27=50'] Exploring Operation: 29+93=122, Resulting Numbers: [50, 122] Generated Node #3: [50, 122] from Operation: 29+93=122 Current State: 72:[50, 122], Operations: ['23+27=50', '29+93=122'] Exploring Operation: 122-50=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 55, 24, 6, 84 ]
11
[ "55+24=79", "6+84=90", "90-79=11" ]
Current State: 11:[55, 24, 6, 84], Operations: [] Exploring Operation: 55+24=79, Resulting Numbers: [6, 84, 79] Generated Node #2: [6, 84, 79] from Operation: 55+24=79 Current State: 11:[6, 84, 79], Operations: ['55+24=79'] Exploring Operation: 6+84=90, Resulting Numbers: [79, 90] Generated Node #3: [79, 90] from Operation: 6+84=90 Current State: 11:[79, 90], Operations: ['55+24=79', '6+84=90'] Exploring Operation: 90-79=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 45, 15, 17 ]
15
[ "5+15=20", "20-17=3", "45/3=15" ]
Current State: 15:[5, 45, 15, 17], Operations: [] Exploring Operation: 5+15=20, Resulting Numbers: [45, 17, 20] Generated Node #2: [45, 17, 20] from Operation: 5+15=20 Current State: 15:[45, 17, 20], Operations: ['5+15=20'] Exploring Operation: 20-17=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 20-17=3 Current State: 15:[45, 3], Operations: ['5+15=20', '20-17=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 23, 15, 60 ]
13
[ "75-23=52", "60/15=4", "52/4=13" ]
Current State: 13:[75, 23, 15, 60], Operations: [] Exploring Operation: 75-23=52, Resulting Numbers: [15, 60, 52] Generated Node #2: [15, 60, 52] from Operation: 75-23=52 Current State: 13:[15, 60, 52], Operations: ['75-23=52'] Exploring Operation: 60/15=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 60/15=4 Current State: 13:[52, 4], Operations: ['75-23=52', '60/15=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 7, 48, 53 ]
37
[ "25+7=32", "53-48=5", "32+5=37" ]
Current State: 37:[25, 7, 48, 53], Operations: [] Exploring Operation: 25+7=32, Resulting Numbers: [48, 53, 32] Generated Node #2: [48, 53, 32] from Operation: 25+7=32 Current State: 37:[48, 53, 32], Operations: ['25+7=32'] Exploring Operation: 53-48=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 53-48=5 Current State: 37:[32, 5], Operations: ['25+7=32', '53-48=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 22, 50, 45, 8 ]
81
[ "50-22=28", "45+8=53", "28+53=81" ]
Current State: 81:[22, 50, 45, 8], Operations: [] Exploring Operation: 50-22=28, Resulting Numbers: [45, 8, 28] Generated Node #2: [45, 8, 28] from Operation: 50-22=28 Current State: 81:[45, 8, 28], Operations: ['50-22=28'] Exploring Operation: 45+8=53, Resulting Numbers: [28, 53] Generated Node #3: [28, 53] from Operation: 45+8=53 Current State: 81:[28, 53], Operations: ['50-22=28', '45+8=53'] Exploring Operation: 28+53=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 5, 26, 54 ]
36
[ "13-5=8", "54-26=28", "8+28=36" ]
Current State: 36:[13, 5, 26, 54], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [26, 54, 8] Generated Node #2: [26, 54, 8] from Operation: 13-5=8 Current State: 36:[26, 54, 8], Operations: ['13-5=8'] Exploring Operation: 54-26=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 54-26=28 Current State: 36:[8, 28], Operations: ['13-5=8', '54-26=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 97, 20, 66, 7 ]
44
[ "97+20=117", "66+7=73", "117-73=44" ]
Current State: 44:[97, 20, 66, 7], Operations: [] Exploring Operation: 97+20=117, Resulting Numbers: [66, 7, 117] Generated Node #2: [66, 7, 117] from Operation: 97+20=117 Current State: 44:[66, 7, 117], Operations: ['97+20=117'] Exploring Operation: 66+7=73, Resulting Numbers: [117, 73] Generated Node #3: [117, 73] from Operation: 66+7=73 Current State: 44:[117, 73], Operations: ['97+20=117', '66+7=73'] Exploring Operation: 117-73=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 79, 72, 46, 36 ]
31
[ "79-46=33", "72/36=2", "33-2=31" ]
Current State: 31:[79, 72, 46, 36], Operations: [] Exploring Operation: 79-46=33, Resulting Numbers: [72, 36, 33] Generated Node #2: [72, 36, 33] from Operation: 79-46=33 Current State: 31:[72, 36, 33], Operations: ['79-46=33'] Exploring Operation: 72/36=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 72/36=2 Current State: 31:[33, 2], Operations: ['79-46=33', '72/36=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 47, 32, 31, 37 ]
83
[ "47-32=15", "31+37=68", "15+68=83" ]
Current State: 83:[47, 32, 31, 37], Operations: [] Exploring Operation: 47-32=15, Resulting Numbers: [31, 37, 15] Generated Node #2: [31, 37, 15] from Operation: 47-32=15 Current State: 83:[31, 37, 15], Operations: ['47-32=15'] Exploring Operation: 31+37=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 31+37=68 Current State: 83:[15, 68], Operations: ['47-32=15', '31+37=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 28, 6, 42 ]
64
[ "6+42=48", "28*48=1344", "1344/21=64" ]
Current State: 64:[21, 28, 6, 42], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [21, 28, 48] Generated Node #2: [21, 28, 48] from Operation: 6+42=48 Current State: 64:[21, 28, 48], Operations: ['6+42=48'] Exploring Operation: 28*48=1344, Resulting Numbers: [21, 1344] Generated Node #3: [21, 1344] from Operation: 28*48=1344 Current State: 64:[21, 1344], Operations: ['6+42=48', '28*48=1344'] Exploring Operation: 1344/21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 37, 65, 67 ]
54
[ "67-65=2", "37*2=74", "74-20=54" ]
Current State: 54:[20, 37, 65, 67], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [20, 37, 2] Generated Node #2: [20, 37, 2] from Operation: 67-65=2 Current State: 54:[20, 37, 2], Operations: ['67-65=2'] Exploring Operation: 37*2=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 37*2=74 Current State: 54:[20, 74], Operations: ['67-65=2', '37*2=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 57, 22, 32 ]
60
[ "57-7=50", "32-22=10", "50+10=60" ]
Current State: 60:[7, 57, 22, 32], Operations: [] Exploring Operation: 57-7=50, Resulting Numbers: [22, 32, 50] Generated Node #2: [22, 32, 50] from Operation: 57-7=50 Current State: 60:[22, 32, 50], Operations: ['57-7=50'] Exploring Operation: 32-22=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 32-22=10 Current State: 60:[50, 10], Operations: ['57-7=50', '32-22=10'] Exploring Operation: 50+10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 62, 77, 77 ]
95
[ "33+62=95", "77-77=0", "95+0=95" ]
Current State: 95:[33, 62, 77, 77], Operations: [] Exploring Operation: 33+62=95, Resulting Numbers: [77, 77, 95] Generated Node #2: [77, 77, 95] from Operation: 33+62=95 Current State: 95:[77, 77, 95], Operations: ['33+62=95'] Exploring Operation: 77-77=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 77-77=0 Current State: 95:[95, 0], Operations: ['33+62=95', '77-77=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 12, 40, 44 ]
47
[ "40-36=4", "12/4=3", "44+3=47" ]
Current State: 47:[36, 12, 40, 44], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [12, 44, 4] Generated Node #2: [12, 44, 4] from Operation: 40-36=4 Current State: 47:[12, 44, 4], Operations: ['40-36=4'] Exploring Operation: 12/4=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 12/4=3 Current State: 47:[44, 3], Operations: ['40-36=4', '12/4=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 18, 66, 2 ]
74
[ "66-38=28", "2*28=56", "18+56=74" ]
Current State: 74:[38, 18, 66, 2], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [18, 2, 28] Generated Node #2: [18, 2, 28] from Operation: 66-38=28 Current State: 74:[18, 2, 28], Operations: ['66-38=28'] Exploring Operation: 2*28=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 2*28=56 Current State: 74:[18, 56], Operations: ['66-38=28', '2*28=56'] Exploring Operation: 18+56=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 87, 73, 76, 81 ]
18
[ "87-81=6", "76-73=3", "6*3=18" ]
Current State: 18:[87, 73, 76, 81], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [73, 76, 6] Generated Node #2: [73, 76, 6] from Operation: 87-81=6 Current State: 18:[73, 76, 6], Operations: ['87-81=6'] Exploring Operation: 76-73=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 76-73=3 Current State: 18:[6, 3], Operations: ['87-81=6', '76-73=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 95, 27, 69 ]
84
[ "95-27=68", "69-68=1", "84*1=84" ]
Current State: 84:[84, 95, 27, 69], Operations: [] Exploring Operation: 95-27=68, Resulting Numbers: [84, 69, 68] Generated Node #2: [84, 69, 68] from Operation: 95-27=68 Current State: 84:[84, 69, 68], Operations: ['95-27=68'] Exploring Operation: 69-68=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 69-68=1 Current State: 84:[84, 1], Operations: ['95-27=68', '69-68=1'] Exploring Operation: 84*1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 74, 16, 48 ]
75
[ "64-16=48", "48/48=1", "74+1=75" ]
Current State: 75:[64, 74, 16, 48], Operations: [] Exploring Operation: 64-16=48, Resulting Numbers: [74, 48, 48] Generated Node #2: [74, 48, 48] from Operation: 64-16=48 Current State: 75:[74, 48, 48], Operations: ['64-16=48'] Exploring Operation: 48/48=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 48/48=1 Current State: 75:[74, 1], Operations: ['64-16=48', '48/48=1'] Exploring Operation: 74+1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 43, 36, 9 ]
46
[ "36-33=3", "9/3=3", "43+3=46" ]
Current State: 46:[33, 43, 36, 9], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [43, 9, 3] Generated Node #2: [43, 9, 3] from Operation: 36-33=3 Current State: 46:[43, 9, 3], Operations: ['36-33=3'] Exploring Operation: 9/3=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 9/3=3 Current State: 46:[43, 3], Operations: ['36-33=3', '9/3=3'] Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 11, 97, 2, 34 ]
90
[ "11*34=374", "374/2=187", "187-97=90" ]
Current State: 90:[11, 97, 2, 34], Operations: [] Exploring Operation: 11*34=374, Resulting Numbers: [97, 2, 374] Generated Node #2: [97, 2, 374] from Operation: 11*34=374 Current State: 90:[97, 2, 374], Operations: ['11*34=374'] Exploring Operation: 374/2=187, Resulting Numbers: [97, 187] Generated Node #3: [97, 187] from Operation: 374/2=187 Current State: 90:[97, 187], Operations: ['11*34=374', '374/2=187'] Exploring Operation: 187-97=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 75, 65, 49, 15 ]
36
[ "75/15=5", "65/5=13", "49-13=36" ]
Current State: 36:[75, 65, 49, 15], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [65, 49, 5] Generated Node #2: [65, 49, 5] from Operation: 75/15=5 Current State: 36:[65, 49, 5], Operations: ['75/15=5'] Exploring Operation: 65/5=13, Resulting Numbers: [49, 13] Generated Node #3: [49, 13] from Operation: 65/5=13 Current State: 36:[49, 13], Operations: ['75/15=5', '65/5=13'] Exploring Operation: 49-13=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 74, 36, 51 ]
30
[ "89-74=15", "51-36=15", "15+15=30" ]
Current State: 30:[89, 74, 36, 51], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [36, 51, 15] Generated Node #2: [36, 51, 15] from Operation: 89-74=15 Current State: 30:[36, 51, 15], Operations: ['89-74=15'] Exploring Operation: 51-36=15, Resulting Numbers: [15, 15] Generated Node #3: [15, 15] from Operation: 51-36=15 Current State: 30:[15, 15], Operations: ['89-74=15', '51-36=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 14, 7, 23 ]
69
[ "21*23=483", "14-7=7", "483/7=69" ]
Current State: 69:[21, 14, 7, 23], Operations: [] Exploring Operation: 21*23=483, Resulting Numbers: [14, 7, 483] Generated Node #2: [14, 7, 483] from Operation: 21*23=483 Current State: 69:[14, 7, 483], Operations: ['21*23=483'] Exploring Operation: 14-7=7, Resulting Numbers: [483, 7] Generated Node #3: [483, 7] from Operation: 14-7=7 Current State: 69:[483, 7], Operations: ['21*23=483', '14-7=7'] Exploring Operation: 483/7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 73, 15, 82, 58 ]
81
[ "73-15=58", "58/58=1", "82-1=81" ]
Current State: 81:[73, 15, 82, 58], Operations: [] Exploring Operation: 73-15=58, Resulting Numbers: [82, 58, 58] Generated Node #2: [82, 58, 58] from Operation: 73-15=58 Current State: 81:[82, 58, 58], Operations: ['73-15=58'] Exploring Operation: 58/58=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 58/58=1 Current State: 81:[82, 1], Operations: ['73-15=58', '58/58=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 77, 81, 48 ]
61
[ "81*48=3888", "77+3888=3965", "3965/65=61" ]
Current State: 61:[65, 77, 81, 48], Operations: [] Exploring Operation: 81*48=3888, Resulting Numbers: [65, 77, 3888] Generated Node #2: [65, 77, 3888] from Operation: 81*48=3888 Current State: 61:[65, 77, 3888], Operations: ['81*48=3888'] Exploring Operation: 77+3888=3965, Resulting Numbers: [65, 3965] Generated Node #3: [65, 3965] from Operation: 77+3888=3965 Current State: 61:[65, 3965], Operations: ['81*48=3888', '77+3888=3965'] Exploring Operation: 3965/65=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 60, 14, 75 ]
42
[ "85-60=25", "14*75=1050", "1050/25=42" ]
Current State: 42:[85, 60, 14, 75], Operations: [] Exploring Operation: 85-60=25, Resulting Numbers: [14, 75, 25] Generated Node #2: [14, 75, 25] from Operation: 85-60=25 Current State: 42:[14, 75, 25], Operations: ['85-60=25'] Exploring Operation: 14*75=1050, Resulting Numbers: [25, 1050] Generated Node #3: [25, 1050] from Operation: 14*75=1050 Current State: 42:[25, 1050], Operations: ['85-60=25', '14*75=1050'] Exploring Operation: 1050/25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 50, 72, 46, 24 ]
25
[ "72-46=26", "26-24=2", "50/2=25" ]
Current State: 25:[50, 72, 46, 24], Operations: [] Exploring Operation: 72-46=26, Resulting Numbers: [50, 24, 26] Generated Node #2: [50, 24, 26] from Operation: 72-46=26 Current State: 25:[50, 24, 26], Operations: ['72-46=26'] Exploring Operation: 26-24=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 26-24=2 Current State: 25:[50, 2], Operations: ['72-46=26', '26-24=2'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 23, 18, 4, 65 ]
99
[ "23+18=41", "4*41=164", "164-65=99" ]
Current State: 99:[23, 18, 4, 65], Operations: [] Exploring Operation: 23+18=41, Resulting Numbers: [4, 65, 41] Generated Node #2: [4, 65, 41] from Operation: 23+18=41 Current State: 99:[4, 65, 41], Operations: ['23+18=41'] Exploring Operation: 4*41=164, Resulting Numbers: [65, 164] Generated Node #3: [65, 164] from Operation: 4*41=164 Current State: 99:[65, 164], Operations: ['23+18=41', '4*41=164'] Exploring Operation: 164-65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 23, 12, 98 ]
62
[ "23-20=3", "12*3=36", "98-36=62" ]
Current State: 62:[20, 23, 12, 98], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [12, 98, 3] Generated Node #2: [12, 98, 3] from Operation: 23-20=3 Current State: 62:[12, 98, 3], Operations: ['23-20=3'] Exploring Operation: 12*3=36, Resulting Numbers: [98, 36] Generated Node #3: [98, 36] from Operation: 12*3=36 Current State: 62:[98, 36], Operations: ['23-20=3', '12*3=36'] Exploring Operation: 98-36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 22, 13, 42, 8 ]
24
[ "13+8=21", "42/21=2", "22+2=24" ]
Current State: 24:[22, 13, 42, 8], Operations: [] Exploring Operation: 13+8=21, Resulting Numbers: [22, 42, 21] Generated Node #2: [22, 42, 21] from Operation: 13+8=21 Current State: 24:[22, 42, 21], Operations: ['13+8=21'] Exploring Operation: 42/21=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 42/21=2 Current State: 24:[22, 2], Operations: ['13+8=21', '42/21=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 82, 17, 19 ]
17
[ "82-29=53", "17+19=36", "53-36=17" ]
Current State: 17:[29, 82, 17, 19], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [17, 19, 53] Generated Node #2: [17, 19, 53] from Operation: 82-29=53 Current State: 17:[17, 19, 53], Operations: ['82-29=53'] Exploring Operation: 17+19=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 17+19=36 Current State: 17:[53, 36], Operations: ['82-29=53', '17+19=36'] Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 61, 1, 49, 87 ]
99
[ "61*1=61", "87-49=38", "61+38=99" ]
Current State: 99:[61, 1, 49, 87], Operations: [] Exploring Operation: 61*1=61, Resulting Numbers: [49, 87, 61] Generated Node #2: [49, 87, 61] from Operation: 61*1=61 Current State: 99:[49, 87, 61], Operations: ['61*1=61'] Exploring Operation: 87-49=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 87-49=38 Current State: 99:[61, 38], Operations: ['61*1=61', '87-49=38'] Exploring Operation: 61+38=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 21, 15, 17, 80 ]
99
[ "21+15=36", "80-17=63", "36+63=99" ]
Current State: 99:[21, 15, 17, 80], Operations: [] Exploring Operation: 21+15=36, Resulting Numbers: [17, 80, 36] Generated Node #2: [17, 80, 36] from Operation: 21+15=36 Current State: 99:[17, 80, 36], Operations: ['21+15=36'] Exploring Operation: 80-17=63, Resulting Numbers: [36, 63] Generated Node #3: [36, 63] from Operation: 80-17=63 Current State: 99:[36, 63], Operations: ['21+15=36', '80-17=63'] Exploring Operation: 36+63=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 60, 40, 42 ]
98
[ "60-40=20", "7*20=140", "140-42=98" ]
Current State: 98:[7, 60, 40, 42], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [7, 42, 20] Generated Node #2: [7, 42, 20] from Operation: 60-40=20 Current State: 98:[7, 42, 20], Operations: ['60-40=20'] Exploring Operation: 7*20=140, Resulting Numbers: [42, 140] Generated Node #3: [42, 140] from Operation: 7*20=140 Current State: 98:[42, 140], Operations: ['60-40=20', '7*20=140'] Exploring Operation: 140-42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 9, 3, 98 ]
76
[ "93/3=31", "9+98=107", "107-31=76" ]
Current State: 76:[93, 9, 3, 98], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [9, 98, 31] Generated Node #2: [9, 98, 31] from Operation: 93/3=31 Current State: 76:[9, 98, 31], Operations: ['93/3=31'] Exploring Operation: 9+98=107, Resulting Numbers: [31, 107] Generated Node #3: [31, 107] from Operation: 9+98=107 Current State: 76:[31, 107], Operations: ['93/3=31', '9+98=107'] Exploring Operation: 107-31=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 59, 23, 46, 87 ]
51
[ "59+23=82", "46+87=133", "133-82=51" ]
Current State: 51:[59, 23, 46, 87], Operations: [] Exploring Operation: 59+23=82, Resulting Numbers: [46, 87, 82] Generated Node #2: [46, 87, 82] from Operation: 59+23=82 Current State: 51:[46, 87, 82], Operations: ['59+23=82'] Exploring Operation: 46+87=133, Resulting Numbers: [82, 133] Generated Node #3: [82, 133] from Operation: 46+87=133 Current State: 51:[82, 133], Operations: ['59+23=82', '46+87=133'] Exploring Operation: 133-82=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 54, 28, 96, 38 ]
32
[ "54-28=26", "96-38=58", "58-26=32" ]
Current State: 32:[54, 28, 96, 38], Operations: [] Exploring Operation: 54-28=26, Resulting Numbers: [96, 38, 26] Generated Node #2: [96, 38, 26] from Operation: 54-28=26 Current State: 32:[96, 38, 26], Operations: ['54-28=26'] Exploring Operation: 96-38=58, Resulting Numbers: [26, 58] Generated Node #3: [26, 58] from Operation: 96-38=58 Current State: 32:[26, 58], Operations: ['54-28=26', '96-38=58'] Exploring Operation: 58-26=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 20, 87, 87, 11 ]
30
[ "20+11=31", "87/87=1", "31-1=30" ]
Current State: 30:[20, 87, 87, 11], Operations: [] Exploring Operation: 20+11=31, Resulting Numbers: [87, 87, 31] Generated Node #2: [87, 87, 31] from Operation: 20+11=31 Current State: 30:[87, 87, 31], Operations: ['20+11=31'] Exploring Operation: 87/87=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 87/87=1 Current State: 30:[31, 1], Operations: ['20+11=31', '87/87=1'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 83, 62, 31, 25 ]
35
[ "83-62=21", "31+25=56", "56-21=35" ]
Current State: 35:[83, 62, 31, 25], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [31, 25, 21] Generated Node #2: [31, 25, 21] from Operation: 83-62=21 Current State: 35:[31, 25, 21], Operations: ['83-62=21'] Exploring Operation: 31+25=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 31+25=56 Current State: 35:[21, 56], Operations: ['83-62=21', '31+25=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 19, 99, 65, 67 ]
61
[ "67-65=2", "19*2=38", "99-38=61" ]
Current State: 61:[19, 99, 65, 67], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [19, 99, 2] Generated Node #2: [19, 99, 2] from Operation: 67-65=2 Current State: 61:[19, 99, 2], Operations: ['67-65=2'] Exploring Operation: 19*2=38, Resulting Numbers: [99, 38] Generated Node #3: [99, 38] from Operation: 19*2=38 Current State: 61:[99, 38], Operations: ['67-65=2', '19*2=38'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 4, 37, 82 ]
62
[ "53+4=57", "37+82=119", "119-57=62" ]
Current State: 62:[53, 4, 37, 82], Operations: [] Exploring Operation: 53+4=57, Resulting Numbers: [37, 82, 57] Generated Node #2: [37, 82, 57] from Operation: 53+4=57 Current State: 62:[37, 82, 57], Operations: ['53+4=57'] Exploring Operation: 37+82=119, Resulting Numbers: [57, 119] Generated Node #3: [57, 119] from Operation: 37+82=119 Current State: 62:[57, 119], Operations: ['53+4=57', '37+82=119'] Exploring Operation: 119-57=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 84, 18, 5, 14 ]
57
[ "84-18=66", "14-5=9", "66-9=57" ]
Current State: 57:[84, 18, 5, 14], Operations: [] Exploring Operation: 84-18=66, Resulting Numbers: [5, 14, 66] Generated Node #2: [5, 14, 66] from Operation: 84-18=66 Current State: 57:[5, 14, 66], Operations: ['84-18=66'] Exploring Operation: 14-5=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 14-5=9 Current State: 57:[66, 9], Operations: ['84-18=66', '14-5=9'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 71, 19, 97, 88 ]
95
[ "71+19=90", "97+88=185", "185-90=95" ]
Current State: 95:[71, 19, 97, 88], Operations: [] Exploring Operation: 71+19=90, Resulting Numbers: [97, 88, 90] Generated Node #2: [97, 88, 90] from Operation: 71+19=90 Current State: 95:[97, 88, 90], Operations: ['71+19=90'] Exploring Operation: 97+88=185, Resulting Numbers: [90, 185] Generated Node #3: [90, 185] from Operation: 97+88=185 Current State: 95:[90, 185], Operations: ['71+19=90', '97+88=185'] Exploring Operation: 185-90=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 47, 97, 10, 18 ]
42
[ "97-47=50", "18-10=8", "50-8=42" ]
Current State: 42:[47, 97, 10, 18], Operations: [] Exploring Operation: 97-47=50, Resulting Numbers: [10, 18, 50] Generated Node #2: [10, 18, 50] from Operation: 97-47=50 Current State: 42:[10, 18, 50], Operations: ['97-47=50'] Exploring Operation: 18-10=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 18-10=8 Current State: 42:[50, 8], Operations: ['97-47=50', '18-10=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 7, 89, 33, 45 ]
94
[ "89-7=82", "45-33=12", "82+12=94" ]
Current State: 94:[7, 89, 33, 45], Operations: [] Exploring Operation: 89-7=82, Resulting Numbers: [33, 45, 82] Generated Node #2: [33, 45, 82] from Operation: 89-7=82 Current State: 94:[33, 45, 82], Operations: ['89-7=82'] Exploring Operation: 45-33=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 45-33=12 Current State: 94:[82, 12], Operations: ['89-7=82', '45-33=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 1, 90, 72 ]
38
[ "21-1=20", "90-72=18", "20+18=38" ]
Current State: 38:[21, 1, 90, 72], Operations: [] Exploring Operation: 21-1=20, Resulting Numbers: [90, 72, 20] Generated Node #2: [90, 72, 20] from Operation: 21-1=20 Current State: 38:[90, 72, 20], Operations: ['21-1=20'] Exploring Operation: 90-72=18, Resulting Numbers: [20, 18] Generated Node #3: [20, 18] from Operation: 90-72=18 Current State: 38:[20, 18], Operations: ['21-1=20', '90-72=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 40, 20, 96 ]
28
[ "88-40=48", "96-20=76", "76-48=28" ]
Current State: 28:[88, 40, 20, 96], Operations: [] Exploring Operation: 88-40=48, Resulting Numbers: [20, 96, 48] Generated Node #2: [20, 96, 48] from Operation: 88-40=48 Current State: 28:[20, 96, 48], Operations: ['88-40=48'] Exploring Operation: 96-20=76, Resulting Numbers: [48, 76] Generated Node #3: [48, 76] from Operation: 96-20=76 Current State: 28:[48, 76], Operations: ['88-40=48', '96-20=76'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 73, 76, 3, 13 ]
14
[ "76-73=3", "3/3=1", "13+1=14" ]
Current State: 14:[73, 76, 3, 13], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [3, 13, 3] Generated Node #2: [3, 13, 3] from Operation: 76-73=3 Current State: 14:[3, 13, 3], Operations: ['76-73=3'] Exploring Operation: 3/3=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 3/3=1 Current State: 14:[13, 1], Operations: ['76-73=3', '3/3=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 31, 41, 20 ]
91
[ "31-20=11", "12*11=132", "132-41=91" ]
Current State: 91:[12, 31, 41, 20], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [12, 41, 11] Generated Node #2: [12, 41, 11] from Operation: 31-20=11 Current State: 91:[12, 41, 11], Operations: ['31-20=11'] Exploring Operation: 12*11=132, Resulting Numbers: [41, 132] Generated Node #3: [41, 132] from Operation: 12*11=132 Current State: 91:[41, 132], Operations: ['31-20=11', '12*11=132'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 84, 18, 42 ]
16
[ "84-44=40", "42-18=24", "40-24=16" ]
Current State: 16:[44, 84, 18, 42], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [18, 42, 40] Generated Node #2: [18, 42, 40] from Operation: 84-44=40 Current State: 16:[18, 42, 40], Operations: ['84-44=40'] Exploring Operation: 42-18=24, Resulting Numbers: [40, 24] Generated Node #3: [40, 24] from Operation: 42-18=24 Current State: 16:[40, 24], Operations: ['84-44=40', '42-18=24'] Exploring Operation: 40-24=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 22, 17, 67 ]
78
[ "67-17=50", "2*50=100", "100-22=78" ]
Current State: 78:[2, 22, 17, 67], Operations: [] Exploring Operation: 67-17=50, Resulting Numbers: [2, 22, 50] Generated Node #2: [2, 22, 50] from Operation: 67-17=50 Current State: 78:[2, 22, 50], Operations: ['67-17=50'] Exploring Operation: 2*50=100, Resulting Numbers: [22, 100] Generated Node #3: [22, 100] from Operation: 2*50=100 Current State: 78:[22, 100], Operations: ['67-17=50', '2*50=100'] Exploring Operation: 100-22=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 30, 68, 28, 18 ]
52
[ "30+68=98", "28+18=46", "98-46=52" ]
Current State: 52:[30, 68, 28, 18], Operations: [] Exploring Operation: 30+68=98, Resulting Numbers: [28, 18, 98] Generated Node #2: [28, 18, 98] from Operation: 30+68=98 Current State: 52:[28, 18, 98], Operations: ['30+68=98'] Exploring Operation: 28+18=46, Resulting Numbers: [98, 46] Generated Node #3: [98, 46] from Operation: 28+18=46 Current State: 52:[98, 46], Operations: ['30+68=98', '28+18=46'] Exploring Operation: 98-46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 77, 64, 85 ]
83
[ "77-15=62", "85-64=21", "62+21=83" ]
Current State: 83:[15, 77, 64, 85], Operations: [] Exploring Operation: 77-15=62, Resulting Numbers: [64, 85, 62] Generated Node #2: [64, 85, 62] from Operation: 77-15=62 Current State: 83:[64, 85, 62], Operations: ['77-15=62'] Exploring Operation: 85-64=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 85-64=21 Current State: 83:[62, 21], Operations: ['77-15=62', '85-64=21'] Exploring Operation: 62+21=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 75, 94, 6, 5 ]
84
[ "94-75=19", "19-5=14", "6*14=84" ]
Current State: 84:[75, 94, 6, 5], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [6, 5, 19] Generated Node #2: [6, 5, 19] from Operation: 94-75=19 Current State: 84:[6, 5, 19], Operations: ['94-75=19'] Exploring Operation: 19-5=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 19-5=14 Current State: 84:[6, 14], Operations: ['94-75=19', '19-5=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 16, 59, 35, 11 ]
82
[ "16*11=176", "59+35=94", "176-94=82" ]
Current State: 82:[16, 59, 35, 11], Operations: [] Exploring Operation: 16*11=176, Resulting Numbers: [59, 35, 176] Generated Node #2: [59, 35, 176] from Operation: 16*11=176 Current State: 82:[59, 35, 176], Operations: ['16*11=176'] Exploring Operation: 59+35=94, Resulting Numbers: [176, 94] Generated Node #3: [176, 94] from Operation: 59+35=94 Current State: 82:[176, 94], Operations: ['16*11=176', '59+35=94'] Exploring Operation: 176-94=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 40, 48, 91, 16 ]
48
[ "40+48=88", "91-88=3", "16*3=48" ]
Current State: 48:[40, 48, 91, 16], Operations: [] Exploring Operation: 40+48=88, Resulting Numbers: [91, 16, 88] Generated Node #2: [91, 16, 88] from Operation: 40+48=88 Current State: 48:[91, 16, 88], Operations: ['40+48=88'] Exploring Operation: 91-88=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 91-88=3 Current State: 48:[16, 3], Operations: ['40+48=88', '91-88=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 62, 52, 50, 28 ]
59
[ "52-50=2", "62/2=31", "28+31=59" ]
Current State: 59:[62, 52, 50, 28], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [62, 28, 2] Generated Node #2: [62, 28, 2] from Operation: 52-50=2 Current State: 59:[62, 28, 2], Operations: ['52-50=2'] Exploring Operation: 62/2=31, Resulting Numbers: [28, 31] Generated Node #3: [28, 31] from Operation: 62/2=31 Current State: 59:[28, 31], Operations: ['52-50=2', '62/2=31'] Exploring Operation: 28+31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 93, 40, 36, 80 ]
59
[ "93-36=57", "80/40=2", "57+2=59" ]
Current State: 59:[93, 40, 36, 80], Operations: [] Exploring Operation: 93-36=57, Resulting Numbers: [40, 80, 57] Generated Node #2: [40, 80, 57] from Operation: 93-36=57 Current State: 59:[40, 80, 57], Operations: ['93-36=57'] Exploring Operation: 80/40=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 80/40=2 Current State: 59:[57, 2], Operations: ['93-36=57', '80/40=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 4, 30, 5 ]
48
[ "18+30=48", "5-4=1", "48*1=48" ]
Current State: 48:[18, 4, 30, 5], Operations: [] Exploring Operation: 18+30=48, Resulting Numbers: [4, 5, 48] Generated Node #2: [4, 5, 48] from Operation: 18+30=48 Current State: 48:[4, 5, 48], Operations: ['18+30=48'] Exploring Operation: 5-4=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 5-4=1 Current State: 48:[48, 1], Operations: ['18+30=48', '5-4=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 60, 53, 26, 70 ]
36
[ "60-53=7", "70/7=10", "26+10=36" ]
Current State: 36:[60, 53, 26, 70], Operations: [] Exploring Operation: 60-53=7, Resulting Numbers: [26, 70, 7] Generated Node #2: [26, 70, 7] from Operation: 60-53=7 Current State: 36:[26, 70, 7], Operations: ['60-53=7'] Exploring Operation: 70/7=10, Resulting Numbers: [26, 10] Generated Node #3: [26, 10] from Operation: 70/7=10 Current State: 36:[26, 10], Operations: ['60-53=7', '70/7=10'] Exploring Operation: 26+10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 53, 80, 47, 49 ]
25
[ "80-53=27", "49-47=2", "27-2=25" ]
Current State: 25:[53, 80, 47, 49], Operations: [] Exploring Operation: 80-53=27, Resulting Numbers: [47, 49, 27] Generated Node #2: [47, 49, 27] from Operation: 80-53=27 Current State: 25:[47, 49, 27], Operations: ['80-53=27'] Exploring Operation: 49-47=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 49-47=2 Current State: 25:[27, 2], Operations: ['80-53=27', '49-47=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 44, 64, 42 ]
41
[ "19+44=63", "64-42=22", "63-22=41" ]
Current State: 41:[19, 44, 64, 42], Operations: [] Exploring Operation: 19+44=63, Resulting Numbers: [64, 42, 63] Generated Node #2: [64, 42, 63] from Operation: 19+44=63 Current State: 41:[64, 42, 63], Operations: ['19+44=63'] Exploring Operation: 64-42=22, Resulting Numbers: [63, 22] Generated Node #3: [63, 22] from Operation: 64-42=22 Current State: 41:[63, 22], Operations: ['19+44=63', '64-42=22'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 67, 10, 72, 17 ]
95
[ "72-67=5", "17*5=85", "10+85=95" ]
Current State: 95:[67, 10, 72, 17], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [10, 17, 5] Generated Node #2: [10, 17, 5] from Operation: 72-67=5 Current State: 95:[10, 17, 5], Operations: ['72-67=5'] Exploring Operation: 17*5=85, Resulting Numbers: [10, 85] Generated Node #3: [10, 85] from Operation: 17*5=85 Current State: 95:[10, 85], Operations: ['72-67=5', '17*5=85'] Exploring Operation: 10+85=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 62, 26, 96 ]
88
[ "97-96=1", "62+26=88", "1*88=88" ]
Current State: 88:[97, 62, 26, 96], Operations: [] Exploring Operation: 97-96=1, Resulting Numbers: [62, 26, 1] Generated Node #2: [62, 26, 1] from Operation: 97-96=1 Current State: 88:[62, 26, 1], Operations: ['97-96=1'] Exploring Operation: 62+26=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 62+26=88 Current State: 88:[1, 88], Operations: ['97-96=1', '62+26=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 67, 17, 21, 74 ]
98
[ "74-67=7", "17*7=119", "119-21=98" ]
Current State: 98:[67, 17, 21, 74], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [17, 21, 7] Generated Node #2: [17, 21, 7] from Operation: 74-67=7 Current State: 98:[17, 21, 7], Operations: ['74-67=7'] Exploring Operation: 17*7=119, Resulting Numbers: [21, 119] Generated Node #3: [21, 119] from Operation: 17*7=119 Current State: 98:[21, 119], Operations: ['74-67=7', '17*7=119'] Exploring Operation: 119-21=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4