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
[ 84, 86, 74, 25 ]
51
[ "86-84=2", "74-25=49", "2+49=51" ]
Current State: 51:[84, 86, 74, 25], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [74, 25, 2] Generated Node #2: [74, 25, 2] from Operation: 86-84=2 Current State: 51:[74, 25, 2], Operations: ['86-84=2'] Exploring Operation: 74-25=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 74-25=49 Current State: 51:[2, 49], Operations: ['86-84=2', '74-25=49'] Exploring Operation: 2+49=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 31, 51, 2 ]
15
[ "34-31=3", "51/3=17", "17-2=15" ]
Current State: 15:[34, 31, 51, 2], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [51, 2, 3] Generated Node #2: [51, 2, 3] from Operation: 34-31=3 Current State: 15:[51, 2, 3], Operations: ['34-31=3'] Exploring Operation: 51/3=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 51/3=17 Current State: 15:[2, 17], Operations: ['34-31=3', '51/3=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 61, 60, 32 ]
35
[ "60/10=6", "61-32=29", "6+29=35" ]
Current State: 35:[10, 61, 60, 32], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [61, 32, 6] Generated Node #2: [61, 32, 6] from Operation: 60/10=6 Current State: 35:[61, 32, 6], Operations: ['60/10=6'] Exploring Operation: 61-32=29, Resulting Numbers: [6, 29] Generated Node #3: [6, 29] from Operation: 61-32=29 Current State: 35:[6, 29], Operations: ['60/10=6', '61-32=29'] Exploring Operation: 6+29=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 73, 45, 38, 79 ]
89
[ "73-45=28", "38+79=117", "117-28=89" ]
Current State: 89:[73, 45, 38, 79], Operations: [] Exploring Operation: 73-45=28, Resulting Numbers: [38, 79, 28] Generated Node #2: [38, 79, 28] from Operation: 73-45=28 Current State: 89:[38, 79, 28], Operations: ['73-45=28'] Exploring Operation: 38+79=117, Resulting Numbers: [28, 117] Generated Node #3: [28, 117] from Operation: 38+79=117 Current State: 89:[28, 117], Operations: ['73-45=28', '38+79=117'] Exploring Operation: 117-28=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 49, 90, 16, 76 ]
79
[ "49+90=139", "76-16=60", "139-60=79" ]
Current State: 79:[49, 90, 16, 76], Operations: [] Exploring Operation: 49+90=139, Resulting Numbers: [16, 76, 139] Generated Node #2: [16, 76, 139] from Operation: 49+90=139 Current State: 79:[16, 76, 139], Operations: ['49+90=139'] Exploring Operation: 76-16=60, Resulting Numbers: [139, 60] Generated Node #3: [139, 60] from Operation: 76-16=60 Current State: 79:[139, 60], Operations: ['49+90=139', '76-16=60'] Exploring Operation: 139-60=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 88, 6, 12, 34 ]
48
[ "88+6=94", "12+34=46", "94-46=48" ]
Current State: 48:[88, 6, 12, 34], Operations: [] Exploring Operation: 88+6=94, Resulting Numbers: [12, 34, 94] Generated Node #2: [12, 34, 94] from Operation: 88+6=94 Current State: 48:[12, 34, 94], Operations: ['88+6=94'] Exploring Operation: 12+34=46, Resulting Numbers: [94, 46] Generated Node #3: [94, 46] from Operation: 12+34=46 Current State: 48:[94, 46], Operations: ['88+6=94', '12+34=46'] Exploring Operation: 94-46=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 74, 59, 55, 77 ]
12
[ "77-74=3", "59-55=4", "3*4=12" ]
Current State: 12:[74, 59, 55, 77], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [59, 55, 3] Generated Node #2: [59, 55, 3] from Operation: 77-74=3 Current State: 12:[59, 55, 3], Operations: ['77-74=3'] Exploring Operation: 59-55=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 59-55=4 Current State: 12:[3, 4], Operations: ['77-74=3', '59-55=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 8, 41, 46 ]
95
[ "64/8=8", "41+46=87", "8+87=95" ]
Current State: 95:[64, 8, 41, 46], Operations: [] Exploring Operation: 64/8=8, Resulting Numbers: [41, 46, 8] Generated Node #2: [41, 46, 8] from Operation: 64/8=8 Current State: 95:[41, 46, 8], Operations: ['64/8=8'] Exploring Operation: 41+46=87, Resulting Numbers: [8, 87] Generated Node #3: [8, 87] from Operation: 41+46=87 Current State: 95:[8, 87], Operations: ['64/8=8', '41+46=87'] Exploring Operation: 8+87=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 10, 69, 47 ]
46
[ "34-10=24", "69-47=22", "24+22=46" ]
Current State: 46:[34, 10, 69, 47], Operations: [] Exploring Operation: 34-10=24, Resulting Numbers: [69, 47, 24] Generated Node #2: [69, 47, 24] from Operation: 34-10=24 Current State: 46:[69, 47, 24], Operations: ['34-10=24'] Exploring Operation: 69-47=22, Resulting Numbers: [24, 22] Generated Node #3: [24, 22] from Operation: 69-47=22 Current State: 46:[24, 22], Operations: ['34-10=24', '69-47=22'] Exploring Operation: 24+22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 26, 69, 9, 53 ]
33
[ "26+69=95", "9+53=62", "95-62=33" ]
Current State: 33:[26, 69, 9, 53], Operations: [] Exploring Operation: 26+69=95, Resulting Numbers: [9, 53, 95] Generated Node #2: [9, 53, 95] from Operation: 26+69=95 Current State: 33:[9, 53, 95], Operations: ['26+69=95'] Exploring Operation: 9+53=62, Resulting Numbers: [95, 62] Generated Node #3: [95, 62] from Operation: 9+53=62 Current State: 33:[95, 62], Operations: ['26+69=95', '9+53=62'] Exploring Operation: 95-62=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 21, 11, 75 ]
52
[ "21*11=231", "231-75=156", "156/3=52" ]
Current State: 52:[3, 21, 11, 75], Operations: [] Exploring Operation: 21*11=231, Resulting Numbers: [3, 75, 231] Generated Node #2: [3, 75, 231] from Operation: 21*11=231 Current State: 52:[3, 75, 231], Operations: ['21*11=231'] Exploring Operation: 231-75=156, Resulting Numbers: [3, 156] Generated Node #3: [3, 156] from Operation: 231-75=156 Current State: 52:[3, 156], Operations: ['21*11=231', '231-75=156'] Exploring Operation: 156/3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 82, 10, 40 ]
62
[ "40/4=10", "82-10=72", "72-10=62" ]
Current State: 62:[4, 82, 10, 40], Operations: [] Exploring Operation: 40/4=10, Resulting Numbers: [82, 10, 10] Generated Node #2: [82, 10, 10] from Operation: 40/4=10 Current State: 62:[82, 10, 10], Operations: ['40/4=10'] Exploring Operation: 82-10=72, Resulting Numbers: [72] 72,62 equal: Goal Reached Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 19, 81, 64, 31 ]
62
[ "81-19=62", "64-62=2", "31*2=62" ]
Current State: 62:[19, 81, 64, 31], Operations: [] Exploring Operation: 81-19=62, Resulting Numbers: [64, 31, 62] Generated Node #2: [64, 31, 62] from Operation: 81-19=62 Current State: 62:[64, 31, 62], Operations: ['81-19=62'] Exploring Operation: 64-62=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 64-62=2 Current State: 62:[31, 2], Operations: ['81-19=62', '64-62=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 82, 33, 52 ]
72
[ "82-33=49", "52-49=3", "24*3=72" ]
Current State: 72:[24, 82, 33, 52], Operations: [] Exploring Operation: 82-33=49, Resulting Numbers: [24, 52, 49] Generated Node #2: [24, 52, 49] from Operation: 82-33=49 Current State: 72:[24, 52, 49], Operations: ['82-33=49'] Exploring Operation: 52-49=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 52-49=3 Current State: 72:[24, 3], Operations: ['82-33=49', '52-49=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 82, 39, 63 ]
79
[ "76-63=13", "39/13=3", "82-3=79" ]
Current State: 79:[76, 82, 39, 63], Operations: [] Exploring Operation: 76-63=13, Resulting Numbers: [82, 39, 13] Generated Node #2: [82, 39, 13] from Operation: 76-63=13 Current State: 79:[82, 39, 13], Operations: ['76-63=13'] Exploring Operation: 39/13=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 39/13=3 Current State: 79:[82, 3], Operations: ['76-63=13', '39/13=3'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 5, 5, 66 ]
17
[ "5-2=3", "66/3=22", "22-5=17" ]
Current State: 17:[2, 5, 5, 66], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [66, 3] Generated Node #2: [66, 3] from Operation: 5-2=3 Current State: 17:[66, 3], Operations: ['5-2=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,17 equal: Goal Reached Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 4, 32, 41 ]
13
[ "41-20=21", "32/4=8", "21-8=13" ]
Current State: 13:[20, 4, 32, 41], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [4, 32, 21] Generated Node #2: [4, 32, 21] from Operation: 41-20=21 Current State: 13:[4, 32, 21], Operations: ['41-20=21'] Exploring Operation: 32/4=8, Resulting Numbers: [21, 8] Generated Node #3: [21, 8] from Operation: 32/4=8 Current State: 13:[21, 8], Operations: ['41-20=21', '32/4=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 99, 51, 31, 11 ]
29
[ "99/11=9", "51-31=20", "9+20=29" ]
Current State: 29:[99, 51, 31, 11], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [51, 31, 9] Generated Node #2: [51, 31, 9] from Operation: 99/11=9 Current State: 29:[51, 31, 9], Operations: ['99/11=9'] Exploring Operation: 51-31=20, Resulting Numbers: [9, 20] Generated Node #3: [9, 20] from Operation: 51-31=20 Current State: 29:[9, 20], Operations: ['99/11=9', '51-31=20'] Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 37, 34, 43, 84 ]
38
[ "37-34=3", "84-43=41", "41-3=38" ]
Current State: 38:[37, 34, 43, 84], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [43, 84, 3] Generated Node #2: [43, 84, 3] from Operation: 37-34=3 Current State: 38:[43, 84, 3], Operations: ['37-34=3'] Exploring Operation: 84-43=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 84-43=41 Current State: 38:[3, 41], Operations: ['37-34=3', '84-43=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 45, 42, 6, 37 ]
75
[ "45+37=82", "42/6=7", "82-7=75" ]
Current State: 75:[45, 42, 6, 37], Operations: [] Exploring Operation: 45+37=82, Resulting Numbers: [42, 6, 82] Generated Node #2: [42, 6, 82] from Operation: 45+37=82 Current State: 75:[42, 6, 82], Operations: ['45+37=82'] Exploring Operation: 42/6=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 42/6=7 Current State: 75:[82, 7], Operations: ['45+37=82', '42/6=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 41, 1, 45 ]
91
[ "45-41=4", "23*4=92", "92-1=91" ]
Current State: 91:[23, 41, 1, 45], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [23, 1, 4] Generated Node #2: [23, 1, 4] from Operation: 45-41=4 Current State: 91:[23, 1, 4], Operations: ['45-41=4'] Exploring Operation: 23*4=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 23*4=92 Current State: 91:[1, 92], Operations: ['45-41=4', '23*4=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 97, 99, 58, 19 ]
59
[ "99*58=5742", "5742-19=5723", "5723/97=59" ]
Current State: 59:[97, 99, 58, 19], Operations: [] Exploring Operation: 99*58=5742, Resulting Numbers: [97, 19, 5742] Generated Node #2: [97, 19, 5742] from Operation: 99*58=5742 Current State: 59:[97, 19, 5742], Operations: ['99*58=5742'] Exploring Operation: 5742-19=5723, Resulting Numbers: [97, 5723] Generated Node #3: [97, 5723] from Operation: 5742-19=5723 Current State: 59:[97, 5723], Operations: ['99*58=5742', '5742-19=5723'] Exploring Operation: 5723/97=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 70, 31, 44 ]
32
[ "70-26=44", "44/44=1", "31+1=32" ]
Current State: 32:[26, 70, 31, 44], Operations: [] Exploring Operation: 70-26=44, Resulting Numbers: [31, 44, 44] Generated Node #2: [31, 44, 44] from Operation: 70-26=44 Current State: 32:[31, 44, 44], Operations: ['70-26=44'] Exploring Operation: 44/44=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 44/44=1 Current State: 32:[31, 1], Operations: ['70-26=44', '44/44=1'] Exploring Operation: 31+1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 18, 69, 81 ]
12
[ "18-18=0", "81-69=12", "0+12=12" ]
Current State: 12:[18, 18, 69, 81], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [69, 81, 0] Generated Node #2: [69, 81, 0] from Operation: 18-18=0 Current State: 12:[69, 81, 0], Operations: ['18-18=0'] Exploring Operation: 81-69=12, Resulting Numbers: [0, 12] Generated Node #3: [0, 12] from Operation: 81-69=12 Current State: 12:[0, 12], Operations: ['18-18=0', '81-69=12'] Exploring Operation: 0+12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 92, 79, 53 ]
100
[ "34+92=126", "79-53=26", "126-26=100" ]
Current State: 100:[34, 92, 79, 53], Operations: [] Exploring Operation: 34+92=126, Resulting Numbers: [79, 53, 126] Generated Node #2: [79, 53, 126] from Operation: 34+92=126 Current State: 100:[79, 53, 126], Operations: ['34+92=126'] Exploring Operation: 79-53=26, Resulting Numbers: [126, 26] Generated Node #3: [126, 26] from Operation: 79-53=26 Current State: 100:[126, 26], Operations: ['34+92=126', '79-53=26'] Exploring Operation: 126-26=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 95, 91, 63, 44 ]
74
[ "95-91=4", "44/4=11", "63+11=74" ]
Current State: 74:[95, 91, 63, 44], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [63, 44, 4] Generated Node #2: [63, 44, 4] from Operation: 95-91=4 Current State: 74:[63, 44, 4], Operations: ['95-91=4'] Exploring Operation: 44/4=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 44/4=11 Current State: 74:[63, 11], Operations: ['95-91=4', '44/4=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 19, 38, 84 ]
94
[ "5*38=190", "190/19=10", "84+10=94" ]
Current State: 94:[5, 19, 38, 84], Operations: [] Exploring Operation: 5*38=190, Resulting Numbers: [19, 84, 190] Generated Node #2: [19, 84, 190] from Operation: 5*38=190 Current State: 94:[19, 84, 190], Operations: ['5*38=190'] Exploring Operation: 190/19=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 190/19=10 Current State: 94:[84, 10], Operations: ['5*38=190', '190/19=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 47, 63, 38 ]
34
[ "47-38=9", "63/9=7", "27+7=34" ]
Current State: 34:[27, 47, 63, 38], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [27, 63, 9] Generated Node #2: [27, 63, 9] from Operation: 47-38=9 Current State: 34:[27, 63, 9], Operations: ['47-38=9'] Exploring Operation: 63/9=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 63/9=7 Current State: 34:[27, 7], Operations: ['47-38=9', '63/9=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 5, 11, 13 ]
20
[ "98-11=87", "13+87=100", "100/5=20" ]
Current State: 20:[98, 5, 11, 13], Operations: [] Exploring Operation: 98-11=87, Resulting Numbers: [5, 13, 87] Generated Node #2: [5, 13, 87] from Operation: 98-11=87 Current State: 20:[5, 13, 87], Operations: ['98-11=87'] Exploring Operation: 13+87=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 13+87=100 Current State: 20:[5, 100], Operations: ['98-11=87', '13+87=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 84, 78, 83 ]
31
[ "83-78=5", "23*5=115", "115-84=31" ]
Current State: 31:[23, 84, 78, 83], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [23, 84, 5] Generated Node #2: [23, 84, 5] from Operation: 83-78=5 Current State: 31:[23, 84, 5], Operations: ['83-78=5'] Exploring Operation: 23*5=115, Resulting Numbers: [84, 115] Generated Node #3: [84, 115] from Operation: 23*5=115 Current State: 31:[84, 115], Operations: ['83-78=5', '23*5=115'] Exploring Operation: 115-84=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 27, 45, 49 ]
33
[ "49-45=4", "24/4=6", "27+6=33" ]
Current State: 33:[24, 27, 45, 49], Operations: [] Exploring Operation: 49-45=4, Resulting Numbers: [24, 27, 4] Generated Node #2: [24, 27, 4] from Operation: 49-45=4 Current State: 33:[24, 27, 4], Operations: ['49-45=4'] Exploring Operation: 24/4=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 24/4=6 Current State: 33:[27, 6], Operations: ['49-45=4', '24/4=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 57, 28, 12 ]
59
[ "42+57=99", "28+12=40", "99-40=59" ]
Current State: 59:[42, 57, 28, 12], Operations: [] Exploring Operation: 42+57=99, Resulting Numbers: [28, 12, 99] Generated Node #2: [28, 12, 99] from Operation: 42+57=99 Current State: 59:[28, 12, 99], Operations: ['42+57=99'] Exploring Operation: 28+12=40, Resulting Numbers: [99, 40] Generated Node #3: [99, 40] from Operation: 28+12=40 Current State: 59:[99, 40], Operations: ['42+57=99', '28+12=40'] Exploring Operation: 99-40=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 64, 96, 5 ]
85
[ "80-64=16", "96+5=101", "101-16=85" ]
Current State: 85:[80, 64, 96, 5], Operations: [] Exploring Operation: 80-64=16, Resulting Numbers: [96, 5, 16] Generated Node #2: [96, 5, 16] from Operation: 80-64=16 Current State: 85:[96, 5, 16], Operations: ['80-64=16'] Exploring Operation: 96+5=101, Resulting Numbers: [16, 101] Generated Node #3: [16, 101] from Operation: 96+5=101 Current State: 85:[16, 101], Operations: ['80-64=16', '96+5=101'] Exploring Operation: 101-16=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 41, 20, 70 ]
40
[ "49+41=90", "70-20=50", "90-50=40" ]
Current State: 40:[49, 41, 20, 70], Operations: [] Exploring Operation: 49+41=90, Resulting Numbers: [20, 70, 90] Generated Node #2: [20, 70, 90] from Operation: 49+41=90 Current State: 40:[20, 70, 90], Operations: ['49+41=90'] Exploring Operation: 70-20=50, Resulting Numbers: [90, 50] Generated Node #3: [90, 50] from Operation: 70-20=50 Current State: 40:[90, 50], Operations: ['49+41=90', '70-20=50'] Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 71, 31, 43, 49 ]
52
[ "71-31=40", "43+49=92", "92-40=52" ]
Current State: 52:[71, 31, 43, 49], Operations: [] Exploring Operation: 71-31=40, Resulting Numbers: [43, 49, 40] Generated Node #2: [43, 49, 40] from Operation: 71-31=40 Current State: 52:[43, 49, 40], Operations: ['71-31=40'] Exploring Operation: 43+49=92, Resulting Numbers: [40, 92] Generated Node #3: [40, 92] from Operation: 43+49=92 Current State: 52:[40, 92], Operations: ['71-31=40', '43+49=92'] Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 44, 35, 70 ]
68
[ "44-35=9", "18/9=2", "70-2=68" ]
Current State: 68:[18, 44, 35, 70], Operations: [] Exploring Operation: 44-35=9, Resulting Numbers: [18, 70, 9] Generated Node #2: [18, 70, 9] from Operation: 44-35=9 Current State: 68:[18, 70, 9], Operations: ['44-35=9'] Exploring Operation: 18/9=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 18/9=2 Current State: 68:[70, 2], Operations: ['44-35=9', '18/9=2'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 79, 69, 51 ]
23
[ "79+69=148", "148/2=74", "74-51=23" ]
Current State: 23:[2, 79, 69, 51], Operations: [] Exploring Operation: 79+69=148, Resulting Numbers: [2, 51, 148] Generated Node #2: [2, 51, 148] from Operation: 79+69=148 Current State: 23:[2, 51, 148], Operations: ['79+69=148'] Exploring Operation: 148/2=74, Resulting Numbers: [51, 74] Generated Node #3: [51, 74] from Operation: 148/2=74 Current State: 23:[51, 74], Operations: ['79+69=148', '148/2=74'] Exploring Operation: 74-51=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 81, 89, 6 ]
17
[ "81-69=12", "6*12=72", "89-72=17" ]
Current State: 17:[69, 81, 89, 6], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [89, 6, 12] Generated Node #2: [89, 6, 12] from Operation: 81-69=12 Current State: 17:[89, 6, 12], Operations: ['81-69=12'] Exploring Operation: 6*12=72, Resulting Numbers: [89, 72] Generated Node #3: [89, 72] from Operation: 6*12=72 Current State: 17:[89, 72], Operations: ['81-69=12', '6*12=72'] Exploring Operation: 89-72=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 59, 39, 56, 77 ]
35
[ "59+39=98", "56+77=133", "133-98=35" ]
Current State: 35:[59, 39, 56, 77], Operations: [] Exploring Operation: 59+39=98, Resulting Numbers: [56, 77, 98] Generated Node #2: [56, 77, 98] from Operation: 59+39=98 Current State: 35:[56, 77, 98], Operations: ['59+39=98'] Exploring Operation: 56+77=133, Resulting Numbers: [98, 133] Generated Node #3: [98, 133] from Operation: 56+77=133 Current State: 35:[98, 133], Operations: ['59+39=98', '56+77=133'] Exploring Operation: 133-98=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 46, 70, 73 ]
53
[ "73-70=3", "21/3=7", "46+7=53" ]
Current State: 53:[21, 46, 70, 73], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [21, 46, 3] Generated Node #2: [21, 46, 3] from Operation: 73-70=3 Current State: 53:[21, 46, 3], Operations: ['73-70=3'] Exploring Operation: 21/3=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 21/3=7 Current State: 53:[46, 7], Operations: ['73-70=3', '21/3=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 94, 23, 5, 49 ]
63
[ "94+23=117", "5+49=54", "117-54=63" ]
Current State: 63:[94, 23, 5, 49], Operations: [] Exploring Operation: 94+23=117, Resulting Numbers: [5, 49, 117] Generated Node #2: [5, 49, 117] from Operation: 94+23=117 Current State: 63:[5, 49, 117], Operations: ['94+23=117'] Exploring Operation: 5+49=54, Resulting Numbers: [117, 54] Generated Node #3: [117, 54] from Operation: 5+49=54 Current State: 63:[117, 54], Operations: ['94+23=117', '5+49=54'] Exploring Operation: 117-54=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 56, 6, 23 ]
40
[ "42+56=98", "6*23=138", "138-98=40" ]
Current State: 40:[42, 56, 6, 23], Operations: [] Exploring Operation: 42+56=98, Resulting Numbers: [6, 23, 98] Generated Node #2: [6, 23, 98] from Operation: 42+56=98 Current State: 40:[6, 23, 98], Operations: ['42+56=98'] Exploring Operation: 6*23=138, Resulting Numbers: [98, 138] Generated Node #3: [98, 138] from Operation: 6*23=138 Current State: 40:[98, 138], Operations: ['42+56=98', '6*23=138'] Exploring Operation: 138-98=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 7, 24, 56, 3 ]
59
[ "7*3=21", "24+56=80", "80-21=59" ]
Current State: 59:[7, 24, 56, 3], Operations: [] Exploring Operation: 7*3=21, Resulting Numbers: [24, 56, 21] Generated Node #2: [24, 56, 21] from Operation: 7*3=21 Current State: 59:[24, 56, 21], Operations: ['7*3=21'] Exploring Operation: 24+56=80, Resulting Numbers: [21, 80] Generated Node #3: [21, 80] from Operation: 24+56=80 Current State: 59:[21, 80], Operations: ['7*3=21', '24+56=80'] Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 96, 63, 30 ]
10
[ "96+30=126", "126/63=2", "8+2=10" ]
Current State: 10:[8, 96, 63, 30], Operations: [] Exploring Operation: 96+30=126, Resulting Numbers: [8, 63, 126] Generated Node #2: [8, 63, 126] from Operation: 96+30=126 Current State: 10:[8, 63, 126], Operations: ['96+30=126'] Exploring Operation: 126/63=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 126/63=2 Current State: 10:[8, 2], Operations: ['96+30=126', '126/63=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 5, 5, 36 ]
36
[ "9-5=4", "5-4=1", "36*1=36" ]
Current State: 36:[9, 5, 5, 36], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [36, 4] Generated Node #2: [36, 4] from Operation: 9-5=4 Current State: 36:[36, 4], Operations: ['9-5=4'] Exploring Operation: 5-4=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 5-4=1 Current State: 36:[36, 1], Operations: ['9-5=4', '5-4=1'] Exploring Operation: 36*1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 21, 72, 79 ]
78
[ "26*21=546", "79-72=7", "546/7=78" ]
Current State: 78:[26, 21, 72, 79], Operations: [] Exploring Operation: 26*21=546, Resulting Numbers: [72, 79, 546] Generated Node #2: [72, 79, 546] from Operation: 26*21=546 Current State: 78:[72, 79, 546], Operations: ['26*21=546'] Exploring Operation: 79-72=7, Resulting Numbers: [546, 7] Generated Node #3: [546, 7] from Operation: 79-72=7 Current State: 78:[546, 7], Operations: ['26*21=546', '79-72=7'] Exploring Operation: 546/7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 55, 56, 66 ]
25
[ "86-56=30", "55*30=1650", "1650/66=25" ]
Current State: 25:[86, 55, 56, 66], Operations: [] Exploring Operation: 86-56=30, Resulting Numbers: [55, 66, 30] Generated Node #2: [55, 66, 30] from Operation: 86-56=30 Current State: 25:[55, 66, 30], Operations: ['86-56=30'] Exploring Operation: 55*30=1650, Resulting Numbers: [66, 1650] Generated Node #3: [66, 1650] from Operation: 55*30=1650 Current State: 25:[66, 1650], Operations: ['86-56=30', '55*30=1650'] Exploring Operation: 1650/66=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 16, 38, 65 ]
60
[ "42+38=80", "80/16=5", "65-5=60" ]
Current State: 60:[42, 16, 38, 65], Operations: [] Exploring Operation: 42+38=80, Resulting Numbers: [16, 65, 80] Generated Node #2: [16, 65, 80] from Operation: 42+38=80 Current State: 60:[16, 65, 80], Operations: ['42+38=80'] Exploring Operation: 80/16=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 80/16=5 Current State: 60:[65, 5], Operations: ['42+38=80', '80/16=5'] Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 7, 50, 74 ]
38
[ "93-7=86", "50+74=124", "124-86=38" ]
Current State: 38:[93, 7, 50, 74], Operations: [] Exploring Operation: 93-7=86, Resulting Numbers: [50, 74, 86] Generated Node #2: [50, 74, 86] from Operation: 93-7=86 Current State: 38:[50, 74, 86], Operations: ['93-7=86'] Exploring Operation: 50+74=124, Resulting Numbers: [86, 124] Generated Node #3: [86, 124] from Operation: 50+74=124 Current State: 38:[86, 124], Operations: ['93-7=86', '50+74=124'] Exploring Operation: 124-86=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 72, 6, 3, 36 ]
63
[ "72-3=69", "36/6=6", "69-6=63" ]
Current State: 63:[72, 6, 3, 36], Operations: [] Exploring Operation: 72-3=69, Resulting Numbers: [6, 36, 69] Generated Node #2: [6, 36, 69] from Operation: 72-3=69 Current State: 63:[6, 36, 69], Operations: ['72-3=69'] Exploring Operation: 36/6=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 36/6=6 Current State: 63:[69, 6], Operations: ['72-3=69', '36/6=6'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 18, 31, 71, 7 ]
29
[ "18+31=49", "71+7=78", "78-49=29" ]
Current State: 29:[18, 31, 71, 7], Operations: [] Exploring Operation: 18+31=49, Resulting Numbers: [71, 7, 49] Generated Node #2: [71, 7, 49] from Operation: 18+31=49 Current State: 29:[71, 7, 49], Operations: ['18+31=49'] Exploring Operation: 71+7=78, Resulting Numbers: [49, 78] Generated Node #3: [49, 78] from Operation: 71+7=78 Current State: 29:[49, 78], Operations: ['18+31=49', '71+7=78'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 19, 61, 29, 62 ]
47
[ "19+61=80", "62-29=33", "80-33=47" ]
Current State: 47:[19, 61, 29, 62], Operations: [] Exploring Operation: 19+61=80, Resulting Numbers: [29, 62, 80] Generated Node #2: [29, 62, 80] from Operation: 19+61=80 Current State: 47:[29, 62, 80], Operations: ['19+61=80'] Exploring Operation: 62-29=33, Resulting Numbers: [80, 33] Generated Node #3: [80, 33] from Operation: 62-29=33 Current State: 47:[80, 33], Operations: ['19+61=80', '62-29=33'] Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 51, 22, 32 ]
15
[ "35-32=3", "22*3=66", "66-51=15" ]
Current State: 15:[35, 51, 22, 32], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [51, 22, 3] Generated Node #2: [51, 22, 3] from Operation: 35-32=3 Current State: 15:[51, 22, 3], Operations: ['35-32=3'] Exploring Operation: 22*3=66, Resulting Numbers: [51, 66] Generated Node #3: [51, 66] from Operation: 22*3=66 Current State: 15:[51, 66], Operations: ['35-32=3', '22*3=66'] Exploring Operation: 66-51=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 76, 48, 46, 33 ]
51
[ "76-48=28", "46+33=79", "79-28=51" ]
Current State: 51:[76, 48, 46, 33], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [46, 33, 28] Generated Node #2: [46, 33, 28] from Operation: 76-48=28 Current State: 51:[46, 33, 28], Operations: ['76-48=28'] Exploring Operation: 46+33=79, Resulting Numbers: [28, 79] Generated Node #3: [28, 79] from Operation: 46+33=79 Current State: 51:[28, 79], Operations: ['76-48=28', '46+33=79'] Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 68, 88, 41 ]
14
[ "90-88=2", "41*2=82", "82-68=14" ]
Current State: 14:[90, 68, 88, 41], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [68, 41, 2] Generated Node #2: [68, 41, 2] from Operation: 90-88=2 Current State: 14:[68, 41, 2], Operations: ['90-88=2'] Exploring Operation: 41*2=82, Resulting Numbers: [68, 82] Generated Node #3: [68, 82] from Operation: 41*2=82 Current State: 14:[68, 82], Operations: ['90-88=2', '41*2=82'] Exploring Operation: 82-68=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 82, 12, 48, 2 ]
53
[ "82+48=130", "130/2=65", "65-12=53" ]
Current State: 53:[82, 12, 48, 2], Operations: [] Exploring Operation: 82+48=130, Resulting Numbers: [12, 2, 130] Generated Node #2: [12, 2, 130] from Operation: 82+48=130 Current State: 53:[12, 2, 130], Operations: ['82+48=130'] Exploring Operation: 130/2=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 130/2=65 Current State: 53:[12, 65], Operations: ['82+48=130', '130/2=65'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 20, 98, 11, 75 ]
33
[ "98-20=78", "78-75=3", "11*3=33" ]
Current State: 33:[20, 98, 11, 75], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [11, 75, 78] Generated Node #2: [11, 75, 78] from Operation: 98-20=78 Current State: 33:[11, 75, 78], Operations: ['98-20=78'] Exploring Operation: 78-75=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 78-75=3 Current State: 33:[11, 3], Operations: ['98-20=78', '78-75=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 92, 52, 49, 43 ]
52
[ "92+52=144", "49+43=92", "144-92=52" ]
Current State: 52:[92, 52, 49, 43], Operations: [] Exploring Operation: 92+52=144, Resulting Numbers: [49, 43, 144] Generated Node #2: [49, 43, 144] from Operation: 92+52=144 Current State: 52:[49, 43, 144], Operations: ['92+52=144'] Exploring Operation: 49+43=92, Resulting Numbers: [144, 92] Generated Node #3: [144, 92] from Operation: 49+43=92 Current State: 52:[144, 92], Operations: ['92+52=144', '49+43=92'] Exploring Operation: 144-92=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 58, 29, 15, 56 ]
39
[ "58/29=2", "56-15=41", "41-2=39" ]
Current State: 39:[58, 29, 15, 56], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [15, 56, 2] Generated Node #2: [15, 56, 2] from Operation: 58/29=2 Current State: 39:[15, 56, 2], Operations: ['58/29=2'] Exploring Operation: 56-15=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 56-15=41 Current State: 39:[2, 41], Operations: ['58/29=2', '56-15=41'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 65, 35, 86, 20 ]
76
[ "65-35=30", "86+20=106", "106-30=76" ]
Current State: 76:[65, 35, 86, 20], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [86, 20, 30] Generated Node #2: [86, 20, 30] from Operation: 65-35=30 Current State: 76:[86, 20, 30], Operations: ['65-35=30'] Exploring Operation: 86+20=106, Resulting Numbers: [30, 106] Generated Node #3: [30, 106] from Operation: 86+20=106 Current State: 76:[30, 106], Operations: ['65-35=30', '86+20=106'] Exploring Operation: 106-30=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 43, 45, 58 ]
41
[ "74-45=29", "58/29=2", "43-2=41" ]
Current State: 41:[74, 43, 45, 58], Operations: [] Exploring Operation: 74-45=29, Resulting Numbers: [43, 58, 29] Generated Node #2: [43, 58, 29] from Operation: 74-45=29 Current State: 41:[43, 58, 29], Operations: ['74-45=29'] Exploring Operation: 58/29=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 58/29=2 Current State: 41:[43, 2], Operations: ['74-45=29', '58/29=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 29, 6, 91 ]
36
[ "47+91=138", "29*6=174", "174-138=36" ]
Current State: 36:[47, 29, 6, 91], Operations: [] Exploring Operation: 47+91=138, Resulting Numbers: [29, 6, 138] Generated Node #2: [29, 6, 138] from Operation: 47+91=138 Current State: 36:[29, 6, 138], Operations: ['47+91=138'] Exploring Operation: 29*6=174, Resulting Numbers: [138, 174] Generated Node #3: [138, 174] from Operation: 29*6=174 Current State: 36:[138, 174], Operations: ['47+91=138', '29*6=174'] Exploring Operation: 174-138=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 43, 87, 89 ]
21
[ "66-43=23", "89-87=2", "23-2=21" ]
Current State: 21:[66, 43, 87, 89], Operations: [] Exploring Operation: 66-43=23, Resulting Numbers: [87, 89, 23] Generated Node #2: [87, 89, 23] from Operation: 66-43=23 Current State: 21:[87, 89, 23], Operations: ['66-43=23'] Exploring Operation: 89-87=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 89-87=2 Current State: 21:[23, 2], Operations: ['66-43=23', '89-87=2'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 26, 78, 77, 7 ]
87
[ "78/26=3", "77+7=84", "3+84=87" ]
Current State: 87:[26, 78, 77, 7], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [77, 7, 3] Generated Node #2: [77, 7, 3] from Operation: 78/26=3 Current State: 87:[77, 7, 3], Operations: ['78/26=3'] Exploring Operation: 77+7=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 77+7=84 Current State: 87:[3, 84], Operations: ['78/26=3', '77+7=84'] Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 27, 81, 56 ]
17
[ "56-42=14", "81/27=3", "14+3=17" ]
Current State: 17:[42, 27, 81, 56], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [27, 81, 14] Generated Node #2: [27, 81, 14] from Operation: 56-42=14 Current State: 17:[27, 81, 14], Operations: ['56-42=14'] Exploring Operation: 81/27=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 81/27=3 Current State: 17:[14, 3], Operations: ['56-42=14', '81/27=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 5, 40, 24 ]
20
[ "40-5=35", "24*35=840", "840/42=20" ]
Current State: 20:[42, 5, 40, 24], Operations: [] Exploring Operation: 40-5=35, Resulting Numbers: [42, 24, 35] Generated Node #2: [42, 24, 35] from Operation: 40-5=35 Current State: 20:[42, 24, 35], Operations: ['40-5=35'] Exploring Operation: 24*35=840, Resulting Numbers: [42, 840] Generated Node #3: [42, 840] from Operation: 24*35=840 Current State: 20:[42, 840], Operations: ['40-5=35', '24*35=840'] Exploring Operation: 840/42=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 28, 17, 23, 77 ]
12
[ "28-23=5", "77-17=60", "60/5=12" ]
Current State: 12:[28, 17, 23, 77], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [17, 77, 5] Generated Node #2: [17, 77, 5] from Operation: 28-23=5 Current State: 12:[17, 77, 5], Operations: ['28-23=5'] Exploring Operation: 77-17=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 77-17=60 Current State: 12:[5, 60], Operations: ['28-23=5', '77-17=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 93, 95, 43 ]
35
[ "95-93=2", "43*2=86", "86-51=35" ]
Current State: 35:[51, 93, 95, 43], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [51, 43, 2] Generated Node #2: [51, 43, 2] from Operation: 95-93=2 Current State: 35:[51, 43, 2], Operations: ['95-93=2'] Exploring Operation: 43*2=86, Resulting Numbers: [51, 86] Generated Node #3: [51, 86] from Operation: 43*2=86 Current State: 35:[51, 86], Operations: ['95-93=2', '43*2=86'] Exploring Operation: 86-51=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 95, 19, 84, 96 ]
64
[ "95-19=76", "96-84=12", "76-12=64" ]
Current State: 64:[95, 19, 84, 96], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [84, 96, 76] Generated Node #2: [84, 96, 76] from Operation: 95-19=76 Current State: 64:[84, 96, 76], Operations: ['95-19=76'] Exploring Operation: 96-84=12, Resulting Numbers: [76, 12] Generated Node #3: [76, 12] from Operation: 96-84=12 Current State: 64:[76, 12], Operations: ['95-19=76', '96-84=12'] Exploring Operation: 76-12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 76, 87, 4, 38 ]
93
[ "76/38=2", "87+4=91", "2+91=93" ]
Current State: 93:[76, 87, 4, 38], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [87, 4, 2] Generated Node #2: [87, 4, 2] from Operation: 76/38=2 Current State: 93:[87, 4, 2], Operations: ['76/38=2'] Exploring Operation: 87+4=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 87+4=91 Current State: 93:[2, 91], Operations: ['76/38=2', '87+4=91'] Exploring Operation: 2+91=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 13, 56, 36, 46 ]
26
[ "56+36=92", "13*92=1196", "1196/46=26" ]
Current State: 26:[13, 56, 36, 46], Operations: [] Exploring Operation: 56+36=92, Resulting Numbers: [13, 46, 92] Generated Node #2: [13, 46, 92] from Operation: 56+36=92 Current State: 26:[13, 46, 92], Operations: ['56+36=92'] Exploring Operation: 13*92=1196, Resulting Numbers: [46, 1196] Generated Node #3: [46, 1196] from Operation: 13*92=1196 Current State: 26:[46, 1196], Operations: ['56+36=92', '13*92=1196'] Exploring Operation: 1196/46=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 30, 99, 49 ]
56
[ "36-30=6", "99-49=50", "6+50=56" ]
Current State: 56:[36, 30, 99, 49], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [99, 49, 6] Generated Node #2: [99, 49, 6] from Operation: 36-30=6 Current State: 56:[99, 49, 6], Operations: ['36-30=6'] Exploring Operation: 99-49=50, Resulting Numbers: [6, 50] Generated Node #3: [6, 50] from Operation: 99-49=50 Current State: 56:[6, 50], Operations: ['36-30=6', '99-49=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 98, 93, 38 ]
81
[ "98-72=26", "93-38=55", "26+55=81" ]
Current State: 81:[72, 98, 93, 38], Operations: [] Exploring Operation: 98-72=26, Resulting Numbers: [93, 38, 26] Generated Node #2: [93, 38, 26] from Operation: 98-72=26 Current State: 81:[93, 38, 26], Operations: ['98-72=26'] Exploring Operation: 93-38=55, Resulting Numbers: [26, 55] Generated Node #3: [26, 55] from Operation: 93-38=55 Current State: 81:[26, 55], Operations: ['98-72=26', '93-38=55'] Exploring Operation: 26+55=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 67, 43, 91 ]
26
[ "67-43=24", "91*24=2184", "2184/84=26" ]
Current State: 26:[84, 67, 43, 91], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [84, 91, 24] Generated Node #2: [84, 91, 24] from Operation: 67-43=24 Current State: 26:[84, 91, 24], Operations: ['67-43=24'] Exploring Operation: 91*24=2184, Resulting Numbers: [84, 2184] Generated Node #3: [84, 2184] from Operation: 91*24=2184 Current State: 26:[84, 2184], Operations: ['67-43=24', '91*24=2184'] Exploring Operation: 2184/84=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 45, 94, 32, 56 ]
25
[ "94-45=49", "56-32=24", "49-24=25" ]
Current State: 25:[45, 94, 32, 56], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [32, 56, 49] Generated Node #2: [32, 56, 49] from Operation: 94-45=49 Current State: 25:[32, 56, 49], Operations: ['94-45=49'] Exploring Operation: 56-32=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 56-32=24 Current State: 25:[49, 24], Operations: ['94-45=49', '56-32=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 61, 73, 2, 37 ]
11
[ "73-37=36", "2*36=72", "72-61=11" ]
Current State: 11:[61, 73, 2, 37], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [61, 2, 36] Generated Node #2: [61, 2, 36] from Operation: 73-37=36 Current State: 11:[61, 2, 36], Operations: ['73-37=36'] Exploring Operation: 2*36=72, Resulting Numbers: [61, 72] Generated Node #3: [61, 72] from Operation: 2*36=72 Current State: 11:[61, 72], Operations: ['73-37=36', '2*36=72'] Exploring Operation: 72-61=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 98, 66, 84 ]
96
[ "46+66=112", "84*112=9408", "9408/98=96" ]
Current State: 96:[46, 98, 66, 84], Operations: [] Exploring Operation: 46+66=112, Resulting Numbers: [98, 84, 112] Generated Node #2: [98, 84, 112] from Operation: 46+66=112 Current State: 96:[98, 84, 112], Operations: ['46+66=112'] Exploring Operation: 84*112=9408, Resulting Numbers: [98, 9408] Generated Node #3: [98, 9408] from Operation: 84*112=9408 Current State: 96:[98, 9408], Operations: ['46+66=112', '84*112=9408'] Exploring Operation: 9408/98=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 1, 47, 5, 71 ]
28
[ "1+47=48", "5+71=76", "76-48=28" ]
Current State: 28:[1, 47, 5, 71], Operations: [] Exploring Operation: 1+47=48, Resulting Numbers: [5, 71, 48] Generated Node #2: [5, 71, 48] from Operation: 1+47=48 Current State: 28:[5, 71, 48], Operations: ['1+47=48'] Exploring Operation: 5+71=76, Resulting Numbers: [48, 76] Generated Node #3: [48, 76] from Operation: 5+71=76 Current State: 28:[48, 76], Operations: ['1+47=48', '5+71=76'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 44, 32, 37, 26 ]
40
[ "44*26=1144", "32*37=1184", "1184-1144=40" ]
Current State: 40:[44, 32, 37, 26], Operations: [] Exploring Operation: 44*26=1144, Resulting Numbers: [32, 37, 1144] Generated Node #2: [32, 37, 1144] from Operation: 44*26=1144 Current State: 40:[32, 37, 1144], Operations: ['44*26=1144'] Exploring Operation: 32*37=1184, Resulting Numbers: [1144, 1184] Generated Node #3: [1144, 1184] from Operation: 32*37=1184 Current State: 40:[1144, 1184], Operations: ['44*26=1144', '32*37=1184'] Exploring Operation: 1184-1144=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 21, 43, 19, 16 ]
54
[ "21-19=2", "43-16=27", "2*27=54" ]
Current State: 54:[21, 43, 19, 16], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [43, 16, 2] Generated Node #2: [43, 16, 2] from Operation: 21-19=2 Current State: 54:[43, 16, 2], Operations: ['21-19=2'] Exploring Operation: 43-16=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 43-16=27 Current State: 54:[2, 27], Operations: ['21-19=2', '43-16=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 91, 28, 48, 7 ]
49
[ "91-7=84", "28*84=2352", "2352/48=49" ]
Current State: 49:[91, 28, 48, 7], Operations: [] Exploring Operation: 91-7=84, Resulting Numbers: [28, 48, 84] Generated Node #2: [28, 48, 84] from Operation: 91-7=84 Current State: 49:[28, 48, 84], Operations: ['91-7=84'] Exploring Operation: 28*84=2352, Resulting Numbers: [48, 2352] Generated Node #3: [48, 2352] from Operation: 28*84=2352 Current State: 49:[48, 2352], Operations: ['91-7=84', '28*84=2352'] Exploring Operation: 2352/48=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 92, 75, 5, 98 ]
53
[ "92+75=167", "98+167=265", "265/5=53" ]
Current State: 53:[92, 75, 5, 98], Operations: [] Exploring Operation: 92+75=167, Resulting Numbers: [5, 98, 167] Generated Node #2: [5, 98, 167] from Operation: 92+75=167 Current State: 53:[5, 98, 167], Operations: ['92+75=167'] Exploring Operation: 98+167=265, Resulting Numbers: [5, 265] Generated Node #3: [5, 265] from Operation: 98+167=265 Current State: 53:[5, 265], Operations: ['92+75=167', '98+167=265'] Exploring Operation: 265/5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 60, 16, 96 ]
99
[ "73-60=13", "16+96=112", "112-13=99" ]
Current State: 99:[73, 60, 16, 96], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [16, 96, 13] Generated Node #2: [16, 96, 13] from Operation: 73-60=13 Current State: 99:[16, 96, 13], Operations: ['73-60=13'] Exploring Operation: 16+96=112, Resulting Numbers: [13, 112] Generated Node #3: [13, 112] from Operation: 16+96=112 Current State: 99:[13, 112], Operations: ['73-60=13', '16+96=112'] Exploring Operation: 112-13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 76, 8, 29 ]
19
[ "76-74=2", "29-8=21", "21-2=19" ]
Current State: 19:[74, 76, 8, 29], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [8, 29, 2] Generated Node #2: [8, 29, 2] from Operation: 76-74=2 Current State: 19:[8, 29, 2], Operations: ['76-74=2'] Exploring Operation: 29-8=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 29-8=21 Current State: 19:[2, 21], Operations: ['76-74=2', '29-8=21'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 33, 3, 23, 64 ]
58
[ "33*3=99", "64-23=41", "99-41=58" ]
Current State: 58:[33, 3, 23, 64], Operations: [] Exploring Operation: 33*3=99, Resulting Numbers: [23, 64, 99] Generated Node #2: [23, 64, 99] from Operation: 33*3=99 Current State: 58:[23, 64, 99], Operations: ['33*3=99'] Exploring Operation: 64-23=41, Resulting Numbers: [99, 41] Generated Node #3: [99, 41] from Operation: 64-23=41 Current State: 58:[99, 41], Operations: ['33*3=99', '64-23=41'] Exploring Operation: 99-41=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 81, 14, 57 ]
26
[ "14/7=2", "81-57=24", "2+24=26" ]
Current State: 26:[7, 81, 14, 57], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [81, 57, 2] Generated Node #2: [81, 57, 2] from Operation: 14/7=2 Current State: 26:[81, 57, 2], Operations: ['14/7=2'] Exploring Operation: 81-57=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 81-57=24 Current State: 26:[2, 24], Operations: ['14/7=2', '81-57=24'] Exploring Operation: 2+24=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 86, 13, 90 ]
75
[ "86+90=176", "176/2=88", "88-13=75" ]
Current State: 75:[2, 86, 13, 90], Operations: [] Exploring Operation: 86+90=176, Resulting Numbers: [2, 13, 176] Generated Node #2: [2, 13, 176] from Operation: 86+90=176 Current State: 75:[2, 13, 176], Operations: ['86+90=176'] Exploring Operation: 176/2=88, Resulting Numbers: [13, 88] Generated Node #3: [13, 88] from Operation: 176/2=88 Current State: 75:[13, 88], Operations: ['86+90=176', '176/2=88'] Exploring Operation: 88-13=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 30, 9, 19, 45 ]
13
[ "30+9=39", "45-19=26", "39-26=13" ]
Current State: 13:[30, 9, 19, 45], Operations: [] Exploring Operation: 30+9=39, Resulting Numbers: [19, 45, 39] Generated Node #2: [19, 45, 39] from Operation: 30+9=39 Current State: 13:[19, 45, 39], Operations: ['30+9=39'] Exploring Operation: 45-19=26, Resulting Numbers: [39, 26] Generated Node #3: [39, 26] from Operation: 45-19=26 Current State: 13:[39, 26], Operations: ['30+9=39', '45-19=26'] Exploring Operation: 39-26=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 57, 46, 90 ]
66
[ "79-57=22", "90-46=44", "22+44=66" ]
Current State: 66:[79, 57, 46, 90], Operations: [] Exploring Operation: 79-57=22, Resulting Numbers: [46, 90, 22] Generated Node #2: [46, 90, 22] from Operation: 79-57=22 Current State: 66:[46, 90, 22], Operations: ['79-57=22'] Exploring Operation: 90-46=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 90-46=44 Current State: 66:[22, 44], Operations: ['79-57=22', '90-46=44'] Exploring Operation: 22+44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 12, 28, 48, 84 ]
25
[ "84-48=36", "36/12=3", "28-3=25" ]
Current State: 25:[12, 28, 48, 84], Operations: [] Exploring Operation: 84-48=36, Resulting Numbers: [12, 28, 36] Generated Node #2: [12, 28, 36] from Operation: 84-48=36 Current State: 25:[12, 28, 36], Operations: ['84-48=36'] Exploring Operation: 36/12=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 36/12=3 Current State: 25:[28, 3], Operations: ['84-48=36', '36/12=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 27, 55, 20, 4 ]
80
[ "27*20=540", "540/4=135", "135-55=80" ]
Current State: 80:[27, 55, 20, 4], Operations: [] Exploring Operation: 27*20=540, Resulting Numbers: [55, 4, 540] Generated Node #2: [55, 4, 540] from Operation: 27*20=540 Current State: 80:[55, 4, 540], Operations: ['27*20=540'] Exploring Operation: 540/4=135, Resulting Numbers: [55, 135] Generated Node #3: [55, 135] from Operation: 540/4=135 Current State: 80:[55, 135], Operations: ['27*20=540', '540/4=135'] Exploring Operation: 135-55=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 22, 6, 10 ]
85
[ "22-10=12", "12/6=2", "87-2=85" ]
Current State: 85:[87, 22, 6, 10], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [87, 6, 12] Generated Node #2: [87, 6, 12] from Operation: 22-10=12 Current State: 85:[87, 6, 12], Operations: ['22-10=12'] Exploring Operation: 12/6=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 12/6=2 Current State: 85:[87, 2], Operations: ['22-10=12', '12/6=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 64, 13, 15 ]
54
[ "64*13=832", "832-22=810", "810/15=54" ]
Current State: 54:[22, 64, 13, 15], Operations: [] Exploring Operation: 64*13=832, Resulting Numbers: [22, 15, 832] Generated Node #2: [22, 15, 832] from Operation: 64*13=832 Current State: 54:[22, 15, 832], Operations: ['64*13=832'] Exploring Operation: 832-22=810, Resulting Numbers: [15, 810] Generated Node #3: [15, 810] from Operation: 832-22=810 Current State: 54:[15, 810], Operations: ['64*13=832', '832-22=810'] Exploring Operation: 810/15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 34, 98, 15, 32 ]
85
[ "34+98=132", "15+32=47", "132-47=85" ]
Current State: 85:[34, 98, 15, 32], Operations: [] Exploring Operation: 34+98=132, Resulting Numbers: [15, 32, 132] Generated Node #2: [15, 32, 132] from Operation: 34+98=132 Current State: 85:[15, 32, 132], Operations: ['34+98=132'] Exploring Operation: 15+32=47, Resulting Numbers: [132, 47] Generated Node #3: [132, 47] from Operation: 15+32=47 Current State: 85:[132, 47], Operations: ['34+98=132', '15+32=47'] Exploring Operation: 132-47=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 18, 99, 89 ]
58
[ "66-18=48", "99-89=10", "48+10=58" ]
Current State: 58:[66, 18, 99, 89], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [99, 89, 48] Generated Node #2: [99, 89, 48] from Operation: 66-18=48 Current State: 58:[99, 89, 48], Operations: ['66-18=48'] Exploring Operation: 99-89=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 99-89=10 Current State: 58:[48, 10], Operations: ['66-18=48', '99-89=10'] Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 84, 21, 75 ]
36
[ "75-21=54", "56*54=3024", "3024/84=36" ]
Current State: 36:[56, 84, 21, 75], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [56, 84, 54] Generated Node #2: [56, 84, 54] from Operation: 75-21=54 Current State: 36:[56, 84, 54], Operations: ['75-21=54'] Exploring Operation: 56*54=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 56*54=3024 Current State: 36:[84, 3024], Operations: ['75-21=54', '56*54=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 47, 45, 69, 32 ]
39
[ "47-45=2", "69-32=37", "2+37=39" ]
Current State: 39:[47, 45, 69, 32], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [69, 32, 2] Generated Node #2: [69, 32, 2] from Operation: 47-45=2 Current State: 39:[69, 32, 2], Operations: ['47-45=2'] Exploring Operation: 69-32=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 69-32=37 Current State: 39:[2, 37], Operations: ['47-45=2', '69-32=37'] Exploring Operation: 2+37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 52, 6, 44 ]
15
[ "52-17=35", "6+44=50", "50-35=15" ]
Current State: 15:[17, 52, 6, 44], Operations: [] Exploring Operation: 52-17=35, Resulting Numbers: [6, 44, 35] Generated Node #2: [6, 44, 35] from Operation: 52-17=35 Current State: 15:[6, 44, 35], Operations: ['52-17=35'] Exploring Operation: 6+44=50, Resulting Numbers: [35, 50] Generated Node #3: [35, 50] from Operation: 6+44=50 Current State: 15:[35, 50], Operations: ['52-17=35', '6+44=50'] Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 61, 62, 56, 16 ]
35
[ "62-56=6", "16*6=96", "96-61=35" ]
Current State: 35:[61, 62, 56, 16], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [61, 16, 6] Generated Node #2: [61, 16, 6] from Operation: 62-56=6 Current State: 35:[61, 16, 6], Operations: ['62-56=6'] Exploring Operation: 16*6=96, Resulting Numbers: [61, 96] Generated Node #3: [61, 96] from Operation: 16*6=96 Current State: 35:[61, 96], Operations: ['62-56=6', '16*6=96'] Exploring Operation: 96-61=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 83, 65, 6 ]
66
[ "83-65=18", "4*18=72", "72-6=66" ]
Current State: 66:[4, 83, 65, 6], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [4, 6, 18] Generated Node #2: [4, 6, 18] from Operation: 83-65=18 Current State: 66:[4, 6, 18], Operations: ['83-65=18'] Exploring Operation: 4*18=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 4*18=72 Current State: 66:[6, 72], Operations: ['83-65=18', '4*18=72'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4