Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 52, 59, 4, 9 ]
19
[ "59-52=7", "4*7=28", "28-9=19" ]
Current State: 19:[52, 59, 4, 9], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [4, 9, 7] Generated Node #2: [4, 9, 7] from Operation: 59-52=7 Current State: 19:[4, 9, 7], Operations: ['59-52=7'] Exploring Operation: 4*7=28, Resulting Numbers: [9, 28] Generated Node #3: [9, 28] from Operation: 4*7=28 Current State: 19:[9, 28], Operations: ['59-52=7', '4*7=28'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 59, 92, 94 ]
13
[ "47*92=4324", "4324/94=46", "59-46=13" ]
Current State: 13:[47, 59, 92, 94], Operations: [] Exploring Operation: 47*92=4324, Resulting Numbers: [59, 94, 4324] Generated Node #2: [59, 94, 4324] from Operation: 47*92=4324 Current State: 13:[59, 94, 4324], Operations: ['47*92=4324'] Exploring Operation: 4324/94=46, Resulting Numbers: [59, 46] Generated Node #3: [59, 46] from Operation: 4324/94=46 Current State: 13:[59, 46], Operations: ['47*92=4324', '4324/94=46'] Exploring Operation: 59-46=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 78, 87, 47 ]
64
[ "78-54=24", "87-47=40", "24+40=64" ]
Current State: 64:[54, 78, 87, 47], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [87, 47, 24] Generated Node #2: [87, 47, 24] from Operation: 78-54=24 Current State: 64:[87, 47, 24], Operations: ['78-54=24'] Exploring Operation: 87-47=40, Resulting Numbers: [24, 40] Generated Node #3: [24, 40] from Operation: 87-47=40 Current State: 64:[24, 40], Operations: ['78-54=24', '87-47=40'] Exploring Operation: 24+40=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 48, 87, 82, 7 ]
60
[ "48+87=135", "82-7=75", "135-75=60" ]
Current State: 60:[48, 87, 82, 7], Operations: [] Exploring Operation: 48+87=135, Resulting Numbers: [82, 7, 135] Generated Node #2: [82, 7, 135] from Operation: 48+87=135 Current State: 60:[82, 7, 135], Operations: ['48+87=135'] Exploring Operation: 82-7=75, Resulting Numbers: [135, 75] Generated Node #3: [135, 75] from Operation: 82-7=75 Current State: 60:[135, 75], Operations: ['48+87=135', '82-7=75'] Exploring Operation: 135-75=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 55, 40, 58, 49 ]
92
[ "55-40=15", "58+49=107", "107-15=92" ]
Current State: 92:[55, 40, 58, 49], Operations: [] Exploring Operation: 55-40=15, Resulting Numbers: [58, 49, 15] Generated Node #2: [58, 49, 15] from Operation: 55-40=15 Current State: 92:[58, 49, 15], Operations: ['55-40=15'] Exploring Operation: 58+49=107, Resulting Numbers: [15, 107] Generated Node #3: [15, 107] from Operation: 58+49=107 Current State: 92:[15, 107], Operations: ['55-40=15', '58+49=107'] Exploring Operation: 107-15=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 80, 28, 5, 62 ]
90
[ "62-28=34", "5*34=170", "170-80=90" ]
Current State: 90:[80, 28, 5, 62], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [80, 5, 34] Generated Node #2: [80, 5, 34] from Operation: 62-28=34 Current State: 90:[80, 5, 34], Operations: ['62-28=34'] Exploring Operation: 5*34=170, Resulting Numbers: [80, 170] Generated Node #3: [80, 170] from Operation: 5*34=170 Current State: 90:[80, 170], Operations: ['62-28=34', '5*34=170'] Exploring Operation: 170-80=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 58, 2, 5 ]
85
[ "64/2=32", "58-5=53", "32+53=85" ]
Current State: 85:[64, 58, 2, 5], Operations: [] Exploring Operation: 64/2=32, Resulting Numbers: [58, 5, 32] Generated Node #2: [58, 5, 32] from Operation: 64/2=32 Current State: 85:[58, 5, 32], Operations: ['64/2=32'] Exploring Operation: 58-5=53, Resulting Numbers: [32, 53] Generated Node #3: [32, 53] from Operation: 58-5=53 Current State: 85:[32, 53], Operations: ['64/2=32', '58-5=53'] Exploring Operation: 32+53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 49, 70, 2 ]
90
[ "71-49=22", "70-2=68", "22+68=90" ]
Current State: 90:[71, 49, 70, 2], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [70, 2, 22] Generated Node #2: [70, 2, 22] from Operation: 71-49=22 Current State: 90:[70, 2, 22], Operations: ['71-49=22'] Exploring Operation: 70-2=68, Resulting Numbers: [22, 68] Generated Node #3: [22, 68] from Operation: 70-2=68 Current State: 90:[22, 68], Operations: ['71-49=22', '70-2=68'] Exploring Operation: 22+68=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 75, 34, 3 ]
83
[ "14*3=42", "75-34=41", "42+41=83" ]
Current State: 83:[14, 75, 34, 3], Operations: [] Exploring Operation: 14*3=42, Resulting Numbers: [75, 34, 42] Generated Node #2: [75, 34, 42] from Operation: 14*3=42 Current State: 83:[75, 34, 42], Operations: ['14*3=42'] Exploring Operation: 75-34=41, Resulting Numbers: [42, 41] Generated Node #3: [42, 41] from Operation: 75-34=41 Current State: 83:[42, 41], Operations: ['14*3=42', '75-34=41'] Exploring Operation: 42+41=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 6, 23, 4 ]
47
[ "23-6=17", "3*17=51", "51-4=47" ]
Current State: 47:[3, 6, 23, 4], Operations: [] Exploring Operation: 23-6=17, Resulting Numbers: [3, 4, 17] Generated Node #2: [3, 4, 17] from Operation: 23-6=17 Current State: 47:[3, 4, 17], Operations: ['23-6=17'] Exploring Operation: 3*17=51, Resulting Numbers: [4, 51] Generated Node #3: [4, 51] from Operation: 3*17=51 Current State: 47:[4, 51], Operations: ['23-6=17', '3*17=51'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 61, 34, 62, 4 ]
85
[ "61-34=27", "62-4=58", "27+58=85" ]
Current State: 85:[61, 34, 62, 4], Operations: [] Exploring Operation: 61-34=27, Resulting Numbers: [62, 4, 27] Generated Node #2: [62, 4, 27] from Operation: 61-34=27 Current State: 85:[62, 4, 27], Operations: ['61-34=27'] Exploring Operation: 62-4=58, Resulting Numbers: [27, 58] Generated Node #3: [27, 58] from Operation: 62-4=58 Current State: 85:[27, 58], Operations: ['61-34=27', '62-4=58'] Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 54, 7, 97 ]
41
[ "77+54=131", "97-7=90", "131-90=41" ]
Current State: 41:[77, 54, 7, 97], Operations: [] Exploring Operation: 77+54=131, Resulting Numbers: [7, 97, 131] Generated Node #2: [7, 97, 131] from Operation: 77+54=131 Current State: 41:[7, 97, 131], Operations: ['77+54=131'] Exploring Operation: 97-7=90, Resulting Numbers: [131, 90] Generated Node #3: [131, 90] from Operation: 97-7=90 Current State: 41:[131, 90], Operations: ['77+54=131', '97-7=90'] Exploring Operation: 131-90=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 48, 53, 94 ]
59
[ "52+48=100", "94-53=41", "100-41=59" ]
Current State: 59:[52, 48, 53, 94], Operations: [] Exploring Operation: 52+48=100, Resulting Numbers: [53, 94, 100] Generated Node #2: [53, 94, 100] from Operation: 52+48=100 Current State: 59:[53, 94, 100], Operations: ['52+48=100'] Exploring Operation: 94-53=41, Resulting Numbers: [100, 41] Generated Node #3: [100, 41] from Operation: 94-53=41 Current State: 59:[100, 41], Operations: ['52+48=100', '94-53=41'] Exploring Operation: 100-41=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 34, 48, 9 ]
24
[ "90/9=10", "48-34=14", "10+14=24" ]
Current State: 24:[90, 34, 48, 9], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [34, 48, 10] Generated Node #2: [34, 48, 10] from Operation: 90/9=10 Current State: 24:[34, 48, 10], Operations: ['90/9=10'] Exploring Operation: 48-34=14, Resulting Numbers: [10, 14] Generated Node #3: [10, 14] from Operation: 48-34=14 Current State: 24:[10, 14], Operations: ['90/9=10', '48-34=14'] Exploring Operation: 10+14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 18, 32, 40, 2 ]
76
[ "40-18=22", "2*22=44", "32+44=76" ]
Current State: 76:[18, 32, 40, 2], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [32, 2, 22] Generated Node #2: [32, 2, 22] from Operation: 40-18=22 Current State: 76:[32, 2, 22], Operations: ['40-18=22'] Exploring Operation: 2*22=44, Resulting Numbers: [32, 44] Generated Node #3: [32, 44] from Operation: 2*22=44 Current State: 76:[32, 44], Operations: ['40-18=22', '2*22=44'] Exploring Operation: 32+44=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 46, 61, 62, 9 ]
68
[ "61-46=15", "62-9=53", "15+53=68" ]
Current State: 68:[46, 61, 62, 9], Operations: [] Exploring Operation: 61-46=15, Resulting Numbers: [62, 9, 15] Generated Node #2: [62, 9, 15] from Operation: 61-46=15 Current State: 68:[62, 9, 15], Operations: ['61-46=15'] Exploring Operation: 62-9=53, Resulting Numbers: [15, 53] Generated Node #3: [15, 53] from Operation: 62-9=53 Current State: 68:[15, 53], Operations: ['61-46=15', '62-9=53'] Exploring Operation: 15+53=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 26, 40, 64, 88 ]
44
[ "26+40=66", "66-64=2", "88/2=44" ]
Current State: 44:[26, 40, 64, 88], Operations: [] Exploring Operation: 26+40=66, Resulting Numbers: [64, 88, 66] Generated Node #2: [64, 88, 66] from Operation: 26+40=66 Current State: 44:[64, 88, 66], Operations: ['26+40=66'] Exploring Operation: 66-64=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 66-64=2 Current State: 44:[88, 2], Operations: ['26+40=66', '66-64=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 61, 2, 13 ]
86
[ "24/2=12", "61+13=74", "12+74=86" ]
Current State: 86:[24, 61, 2, 13], Operations: [] Exploring Operation: 24/2=12, Resulting Numbers: [61, 13, 12] Generated Node #2: [61, 13, 12] from Operation: 24/2=12 Current State: 86:[61, 13, 12], Operations: ['24/2=12'] Exploring Operation: 61+13=74, Resulting Numbers: [12, 74] Generated Node #3: [12, 74] from Operation: 61+13=74 Current State: 86:[12, 74], Operations: ['24/2=12', '61+13=74'] Exploring Operation: 12+74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 66, 85, 29 ]
82
[ "72+66=138", "85-29=56", "138-56=82" ]
Current State: 82:[72, 66, 85, 29], Operations: [] Exploring Operation: 72+66=138, Resulting Numbers: [85, 29, 138] Generated Node #2: [85, 29, 138] from Operation: 72+66=138 Current State: 82:[85, 29, 138], Operations: ['72+66=138'] Exploring Operation: 85-29=56, Resulting Numbers: [138, 56] Generated Node #3: [138, 56] from Operation: 85-29=56 Current State: 82:[138, 56], Operations: ['72+66=138', '85-29=56'] Exploring Operation: 138-56=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 61, 67, 17, 6 ]
47
[ "67+17=84", "84/6=14", "61-14=47" ]
Current State: 47:[61, 67, 17, 6], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [61, 6, 84] Generated Node #2: [61, 6, 84] from Operation: 67+17=84 Current State: 47:[61, 6, 84], Operations: ['67+17=84'] Exploring Operation: 84/6=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 84/6=14 Current State: 47:[61, 14], Operations: ['67+17=84', '84/6=14'] Exploring Operation: 61-14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 30, 84, 21 ]
60
[ "30/10=3", "84-21=63", "63-3=60" ]
Current State: 60:[10, 30, 84, 21], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [84, 21, 3] Generated Node #2: [84, 21, 3] from Operation: 30/10=3 Current State: 60:[84, 21, 3], Operations: ['30/10=3'] Exploring Operation: 84-21=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 84-21=63 Current State: 60:[3, 63], Operations: ['30/10=3', '84-21=63'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 1, 34, 9 ]
55
[ "31-1=30", "34-9=25", "30+25=55" ]
Current State: 55:[31, 1, 34, 9], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [34, 9, 30] Generated Node #2: [34, 9, 30] from Operation: 31-1=30 Current State: 55:[34, 9, 30], Operations: ['31-1=30'] Exploring Operation: 34-9=25, Resulting Numbers: [30, 25] Generated Node #3: [30, 25] from Operation: 34-9=25 Current State: 55:[30, 25], Operations: ['31-1=30', '34-9=25'] Exploring Operation: 30+25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 2, 79, 4 ]
40
[ "4/4=1", "79+1=80", "80/2=40" ]
Current State: 40:[4, 2, 79, 4], Operations: [] Exploring Operation: 4/4=1, Resulting Numbers: [2, 79, 1] Generated Node #2: [2, 79, 1] from Operation: 4/4=1 Current State: 40:[2, 79, 1], Operations: ['4/4=1'] Exploring Operation: 79+1=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 79+1=80 Current State: 40:[2, 80], Operations: ['4/4=1', '79+1=80'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 71, 3, 11, 1 ]
49
[ "3-1=2", "11*2=22", "71-22=49" ]
Current State: 49:[71, 3, 11, 1], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [71, 11, 2] Generated Node #2: [71, 11, 2] from Operation: 3-1=2 Current State: 49:[71, 11, 2], Operations: ['3-1=2'] Exploring Operation: 11*2=22, Resulting Numbers: [71, 22] Generated Node #3: [71, 22] from Operation: 11*2=22 Current State: 49:[71, 22], Operations: ['3-1=2', '11*2=22'] Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 21, 81, 45, 87 ]
72
[ "81-21=60", "45+87=132", "132-60=72" ]
Current State: 72:[21, 81, 45, 87], Operations: [] Exploring Operation: 81-21=60, Resulting Numbers: [45, 87, 60] Generated Node #2: [45, 87, 60] from Operation: 81-21=60 Current State: 72:[45, 87, 60], Operations: ['81-21=60'] Exploring Operation: 45+87=132, Resulting Numbers: [60, 132] Generated Node #3: [60, 132] from Operation: 45+87=132 Current State: 72:[60, 132], Operations: ['81-21=60', '45+87=132'] Exploring Operation: 132-60=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 75, 57, 69, 80 ]
12
[ "75+57=132", "80-69=11", "132/11=12" ]
Current State: 12:[75, 57, 69, 80], Operations: [] Exploring Operation: 75+57=132, Resulting Numbers: [69, 80, 132] Generated Node #2: [69, 80, 132] from Operation: 75+57=132 Current State: 12:[69, 80, 132], Operations: ['75+57=132'] Exploring Operation: 80-69=11, Resulting Numbers: [132, 11] Generated Node #3: [132, 11] from Operation: 80-69=11 Current State: 12:[132, 11], Operations: ['75+57=132', '80-69=11'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 71, 30, 70 ]
58
[ "27+71=98", "70-30=40", "98-40=58" ]
Current State: 58:[27, 71, 30, 70], Operations: [] Exploring Operation: 27+71=98, Resulting Numbers: [30, 70, 98] Generated Node #2: [30, 70, 98] from Operation: 27+71=98 Current State: 58:[30, 70, 98], Operations: ['27+71=98'] Exploring Operation: 70-30=40, Resulting Numbers: [98, 40] Generated Node #3: [98, 40] from Operation: 70-30=40 Current State: 58:[98, 40], Operations: ['27+71=98', '70-30=40'] Exploring Operation: 98-40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 96, 48, 85 ]
79
[ "85-4=81", "96/48=2", "81-2=79" ]
Current State: 79:[4, 96, 48, 85], Operations: [] Exploring Operation: 85-4=81, Resulting Numbers: [96, 48, 81] Generated Node #2: [96, 48, 81] from Operation: 85-4=81 Current State: 79:[96, 48, 81], Operations: ['85-4=81'] Exploring Operation: 96/48=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 96/48=2 Current State: 79:[81, 2], Operations: ['85-4=81', '96/48=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 49, 10, 22 ]
72
[ "10/10=1", "49+22=71", "1+71=72" ]
Current State: 72:[10, 49, 10, 22], Operations: [] Exploring Operation: 10/10=1, Resulting Numbers: [49, 22, 1] Generated Node #2: [49, 22, 1] from Operation: 10/10=1 Current State: 72:[49, 22, 1], Operations: ['10/10=1'] Exploring Operation: 49+22=71, Resulting Numbers: [1, 71] Generated Node #3: [1, 71] from Operation: 49+22=71 Current State: 72:[1, 71], Operations: ['10/10=1', '49+22=71'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 80, 18, 97 ]
83
[ "80-76=4", "97-18=79", "4+79=83" ]
Current State: 83:[76, 80, 18, 97], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [18, 97, 4] Generated Node #2: [18, 97, 4] from Operation: 80-76=4 Current State: 83:[18, 97, 4], Operations: ['80-76=4'] Exploring Operation: 97-18=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 97-18=79 Current State: 83:[4, 79], Operations: ['80-76=4', '97-18=79'] Exploring Operation: 4+79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 98, 11, 32, 38 ]
81
[ "98-11=87", "38-32=6", "87-6=81" ]
Current State: 81:[98, 11, 32, 38], Operations: [] Exploring Operation: 98-11=87, Resulting Numbers: [32, 38, 87] Generated Node #2: [32, 38, 87] from Operation: 98-11=87 Current State: 81:[32, 38, 87], Operations: ['98-11=87'] Exploring Operation: 38-32=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 38-32=6 Current State: 81:[87, 6], Operations: ['98-11=87', '38-32=6'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 80, 46, 14 ]
18
[ "31*46=1426", "14+1426=1440", "1440/80=18" ]
Current State: 18:[31, 80, 46, 14], Operations: [] Exploring Operation: 31*46=1426, Resulting Numbers: [80, 14, 1426] Generated Node #2: [80, 14, 1426] from Operation: 31*46=1426 Current State: 18:[80, 14, 1426], Operations: ['31*46=1426'] Exploring Operation: 14+1426=1440, Resulting Numbers: [80, 1440] Generated Node #3: [80, 1440] from Operation: 14+1426=1440 Current State: 18:[80, 1440], Operations: ['31*46=1426', '14+1426=1440'] Exploring Operation: 1440/80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 44, 14, 7 ]
34
[ "39*14=546", "546/7=78", "78-44=34" ]
Current State: 34:[39, 44, 14, 7], Operations: [] Exploring Operation: 39*14=546, Resulting Numbers: [44, 7, 546] Generated Node #2: [44, 7, 546] from Operation: 39*14=546 Current State: 34:[44, 7, 546], Operations: ['39*14=546'] Exploring Operation: 546/7=78, Resulting Numbers: [44, 78] Generated Node #3: [44, 78] from Operation: 546/7=78 Current State: 34:[44, 78], Operations: ['39*14=546', '546/7=78'] Exploring Operation: 78-44=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 96, 71, 70 ]
53
[ "98+96=194", "71+70=141", "194-141=53" ]
Current State: 53:[98, 96, 71, 70], Operations: [] Exploring Operation: 98+96=194, Resulting Numbers: [71, 70, 194] Generated Node #2: [71, 70, 194] from Operation: 98+96=194 Current State: 53:[71, 70, 194], Operations: ['98+96=194'] Exploring Operation: 71+70=141, Resulting Numbers: [194, 141] Generated Node #3: [194, 141] from Operation: 71+70=141 Current State: 53:[194, 141], Operations: ['98+96=194', '71+70=141'] Exploring Operation: 194-141=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 23, 1, 84, 17 ]
15
[ "23-17=6", "84/6=14", "1+14=15" ]
Current State: 15:[23, 1, 84, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [1, 84, 6] Generated Node #2: [1, 84, 6] from Operation: 23-17=6 Current State: 15:[1, 84, 6], Operations: ['23-17=6'] Exploring Operation: 84/6=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 84/6=14 Current State: 15:[1, 14], Operations: ['23-17=6', '84/6=14'] Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 57, 82, 88 ]
80
[ "26+88=114", "114/57=2", "82-2=80" ]
Current State: 80:[26, 57, 82, 88], Operations: [] Exploring Operation: 26+88=114, Resulting Numbers: [57, 82, 114] Generated Node #2: [57, 82, 114] from Operation: 26+88=114 Current State: 80:[57, 82, 114], Operations: ['26+88=114'] Exploring Operation: 114/57=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 114/57=2 Current State: 80:[82, 2], Operations: ['26+88=114', '114/57=2'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 84, 10, 58, 69 ]
63
[ "84-10=74", "69-58=11", "74-11=63" ]
Current State: 63:[84, 10, 58, 69], Operations: [] Exploring Operation: 84-10=74, Resulting Numbers: [58, 69, 74] Generated Node #2: [58, 69, 74] from Operation: 84-10=74 Current State: 63:[58, 69, 74], Operations: ['84-10=74'] Exploring Operation: 69-58=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 69-58=11 Current State: 63:[74, 11], Operations: ['84-10=74', '69-58=11'] Exploring Operation: 74-11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 98, 1, 23, 5 ]
15
[ "98*1=98", "98-23=75", "75/5=15" ]
Current State: 15:[98, 1, 23, 5], Operations: [] Exploring Operation: 98*1=98, Resulting Numbers: [23, 5, 98] Generated Node #2: [23, 5, 98] from Operation: 98*1=98 Current State: 15:[23, 5, 98], Operations: ['98*1=98'] Exploring Operation: 98-23=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 98-23=75 Current State: 15:[5, 75], Operations: ['98*1=98', '98-23=75'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 73, 6, 85 ]
88
[ "85-73=12", "44*12=528", "528/6=88" ]
Current State: 88:[44, 73, 6, 85], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [44, 6, 12] Generated Node #2: [44, 6, 12] from Operation: 85-73=12 Current State: 88:[44, 6, 12], Operations: ['85-73=12'] Exploring Operation: 44*12=528, Resulting Numbers: [6, 528] Generated Node #3: [6, 528] from Operation: 44*12=528 Current State: 88:[6, 528], Operations: ['85-73=12', '44*12=528'] Exploring Operation: 528/6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 18, 90, 3, 5 ]
72
[ "18*3=54", "90/5=18", "54+18=72" ]
Current State: 72:[18, 90, 3, 5], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [90, 5, 54] Generated Node #2: [90, 5, 54] from Operation: 18*3=54 Current State: 72:[90, 5, 54], Operations: ['18*3=54'] Exploring Operation: 90/5=18, Resulting Numbers: [54, 18] Generated Node #3: [54, 18] from Operation: 90/5=18 Current State: 72:[54, 18], Operations: ['18*3=54', '90/5=18'] Exploring Operation: 54+18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 51, 37, 8, 20 ]
85
[ "37-20=17", "8*17=136", "136-51=85" ]
Current State: 85:[51, 37, 8, 20], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [51, 8, 17] Generated Node #2: [51, 8, 17] from Operation: 37-20=17 Current State: 85:[51, 8, 17], Operations: ['37-20=17'] Exploring Operation: 8*17=136, Resulting Numbers: [51, 136] Generated Node #3: [51, 136] from Operation: 8*17=136 Current State: 85:[51, 136], Operations: ['37-20=17', '8*17=136'] Exploring Operation: 136-51=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 23, 17, 48 ]
68
[ "14+23=37", "48-17=31", "37+31=68" ]
Current State: 68:[14, 23, 17, 48], Operations: [] Exploring Operation: 14+23=37, Resulting Numbers: [17, 48, 37] Generated Node #2: [17, 48, 37] from Operation: 14+23=37 Current State: 68:[17, 48, 37], Operations: ['14+23=37'] Exploring Operation: 48-17=31, Resulting Numbers: [37, 31] Generated Node #3: [37, 31] from Operation: 48-17=31 Current State: 68:[37, 31], Operations: ['14+23=37', '48-17=31'] Exploring Operation: 37+31=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 28, 24, 70 ]
18
[ "24*70=1680", "1680/28=60", "60-42=18" ]
Current State: 18:[42, 28, 24, 70], Operations: [] Exploring Operation: 24*70=1680, Resulting Numbers: [42, 28, 1680] Generated Node #2: [42, 28, 1680] from Operation: 24*70=1680 Current State: 18:[42, 28, 1680], Operations: ['24*70=1680'] Exploring Operation: 1680/28=60, Resulting Numbers: [42, 60] Generated Node #3: [42, 60] from Operation: 1680/28=60 Current State: 18:[42, 60], Operations: ['24*70=1680', '1680/28=60'] Exploring Operation: 60-42=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 54, 41, 78, 73 ]
100
[ "54+41=95", "78-73=5", "95+5=100" ]
Current State: 100:[54, 41, 78, 73], Operations: [] Exploring Operation: 54+41=95, Resulting Numbers: [78, 73, 95] Generated Node #2: [78, 73, 95] from Operation: 54+41=95 Current State: 100:[78, 73, 95], Operations: ['54+41=95'] Exploring Operation: 78-73=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 78-73=5 Current State: 100:[95, 5], Operations: ['54+41=95', '78-73=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 6, 99, 26, 93 ]
14
[ "6+99=105", "26+93=119", "119-105=14" ]
Current State: 14:[6, 99, 26, 93], Operations: [] Exploring Operation: 6+99=105, Resulting Numbers: [26, 93, 105] Generated Node #2: [26, 93, 105] from Operation: 6+99=105 Current State: 14:[26, 93, 105], Operations: ['6+99=105'] Exploring Operation: 26+93=119, Resulting Numbers: [105, 119] Generated Node #3: [105, 119] from Operation: 26+93=119 Current State: 14:[105, 119], Operations: ['6+99=105', '26+93=119'] Exploring Operation: 119-105=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 70, 11, 18, 3 ]
38
[ "70-11=59", "18+3=21", "59-21=38" ]
Current State: 38:[70, 11, 18, 3], Operations: [] Exploring Operation: 70-11=59, Resulting Numbers: [18, 3, 59] Generated Node #2: [18, 3, 59] from Operation: 70-11=59 Current State: 38:[18, 3, 59], Operations: ['70-11=59'] Exploring Operation: 18+3=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 18+3=21 Current State: 38:[59, 21], Operations: ['70-11=59', '18+3=21'] Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 47, 62, 48 ]
68
[ "47-5=42", "62+48=110", "110-42=68" ]
Current State: 68:[5, 47, 62, 48], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [62, 48, 42] Generated Node #2: [62, 48, 42] from Operation: 47-5=42 Current State: 68:[62, 48, 42], Operations: ['47-5=42'] Exploring Operation: 62+48=110, Resulting Numbers: [42, 110] Generated Node #3: [42, 110] from Operation: 62+48=110 Current State: 68:[42, 110], Operations: ['47-5=42', '62+48=110'] Exploring Operation: 110-42=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 91, 34, 38, 18 ]
19
[ "38-34=4", "18*4=72", "91-72=19" ]
Current State: 19:[91, 34, 38, 18], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [91, 18, 4] Generated Node #2: [91, 18, 4] from Operation: 38-34=4 Current State: 19:[91, 18, 4], Operations: ['38-34=4'] Exploring Operation: 18*4=72, Resulting Numbers: [91, 72] Generated Node #3: [91, 72] from Operation: 18*4=72 Current State: 19:[91, 72], Operations: ['38-34=4', '18*4=72'] Exploring Operation: 91-72=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 63, 70, 72 ]
18
[ "3+63=66", "70-66=4", "72/4=18" ]
Current State: 18:[3, 63, 70, 72], Operations: [] Exploring Operation: 3+63=66, Resulting Numbers: [70, 72, 66] Generated Node #2: [70, 72, 66] from Operation: 3+63=66 Current State: 18:[70, 72, 66], Operations: ['3+63=66'] Exploring Operation: 70-66=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 70-66=4 Current State: 18:[72, 4], Operations: ['3+63=66', '70-66=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 61, 56, 11 ]
23
[ "61-58=3", "11*3=33", "56-33=23" ]
Current State: 23:[58, 61, 56, 11], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [56, 11, 3] Generated Node #2: [56, 11, 3] from Operation: 61-58=3 Current State: 23:[56, 11, 3], Operations: ['61-58=3'] Exploring Operation: 11*3=33, Resulting Numbers: [56, 33] Generated Node #3: [56, 33] from Operation: 11*3=33 Current State: 23:[56, 33], Operations: ['61-58=3', '11*3=33'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 20, 61, 18 ]
27
[ "61-31=30", "18*30=540", "540/20=27" ]
Current State: 27:[31, 20, 61, 18], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [20, 18, 30] Generated Node #2: [20, 18, 30] from Operation: 61-31=30 Current State: 27:[20, 18, 30], Operations: ['61-31=30'] Exploring Operation: 18*30=540, Resulting Numbers: [20, 540] Generated Node #3: [20, 540] from Operation: 18*30=540 Current State: 27:[20, 540], Operations: ['61-31=30', '18*30=540'] Exploring Operation: 540/20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 12, 2, 28, 49 ]
41
[ "28-12=16", "16/2=8", "49-8=41" ]
Current State: 41:[12, 2, 28, 49], Operations: [] Exploring Operation: 28-12=16, Resulting Numbers: [2, 49, 16] Generated Node #2: [2, 49, 16] from Operation: 28-12=16 Current State: 41:[2, 49, 16], Operations: ['28-12=16'] Exploring Operation: 16/2=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 16/2=8 Current State: 41:[49, 8], Operations: ['28-12=16', '16/2=8'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 92, 79, 26, 38 ]
40
[ "92-79=13", "26/13=2", "38+2=40" ]
Current State: 40:[92, 79, 26, 38], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [26, 38, 13] Generated Node #2: [26, 38, 13] from Operation: 92-79=13 Current State: 40:[26, 38, 13], Operations: ['92-79=13'] Exploring Operation: 26/13=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 26/13=2 Current State: 40:[38, 2], Operations: ['92-79=13', '26/13=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 63, 21, 9, 6 ]
81
[ "63+21=84", "9-6=3", "84-3=81" ]
Current State: 81:[63, 21, 9, 6], Operations: [] Exploring Operation: 63+21=84, Resulting Numbers: [9, 6, 84] Generated Node #2: [9, 6, 84] from Operation: 63+21=84 Current State: 81:[9, 6, 84], Operations: ['63+21=84'] Exploring Operation: 9-6=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 9-6=3 Current State: 81:[84, 3], Operations: ['63+21=84', '9-6=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 10, 33, 88, 3 ]
80
[ "10*88=880", "33/3=11", "880/11=80" ]
Current State: 80:[10, 33, 88, 3], Operations: [] Exploring Operation: 10*88=880, Resulting Numbers: [33, 3, 880] Generated Node #2: [33, 3, 880] from Operation: 10*88=880 Current State: 80:[33, 3, 880], Operations: ['10*88=880'] Exploring Operation: 33/3=11, Resulting Numbers: [880, 11] Generated Node #3: [880, 11] from Operation: 33/3=11 Current State: 80:[880, 11], Operations: ['10*88=880', '33/3=11'] Exploring Operation: 880/11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 7, 1, 65 ]
12
[ "14-1=13", "65/13=5", "7+5=12" ]
Current State: 12:[14, 7, 1, 65], Operations: [] Exploring Operation: 14-1=13, Resulting Numbers: [7, 65, 13] Generated Node #2: [7, 65, 13] from Operation: 14-1=13 Current State: 12:[7, 65, 13], Operations: ['14-1=13'] Exploring Operation: 65/13=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 65/13=5 Current State: 12:[7, 5], Operations: ['14-1=13', '65/13=5'] Exploring Operation: 7+5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 64, 40, 22 ]
94
[ "64-40=24", "3*24=72", "22+72=94" ]
Current State: 94:[3, 64, 40, 22], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [3, 22, 24] Generated Node #2: [3, 22, 24] from Operation: 64-40=24 Current State: 94:[3, 22, 24], Operations: ['64-40=24'] Exploring Operation: 3*24=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 3*24=72 Current State: 94:[22, 72], Operations: ['64-40=24', '3*24=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 44, 93, 79 ]
50
[ "44-8=36", "93-79=14", "36+14=50" ]
Current State: 50:[8, 44, 93, 79], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [93, 79, 36] Generated Node #2: [93, 79, 36] from Operation: 44-8=36 Current State: 50:[93, 79, 36], Operations: ['44-8=36'] Exploring Operation: 93-79=14, Resulting Numbers: [36, 14] Generated Node #3: [36, 14] from Operation: 93-79=14 Current State: 50:[36, 14], Operations: ['44-8=36', '93-79=14'] Exploring Operation: 36+14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 98, 16, 4 ]
22
[ "98-56=42", "16+4=20", "42-20=22" ]
Current State: 22:[56, 98, 16, 4], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [16, 4, 42] Generated Node #2: [16, 4, 42] from Operation: 98-56=42 Current State: 22:[16, 4, 42], Operations: ['98-56=42'] Exploring Operation: 16+4=20, Resulting Numbers: [42, 20] Generated Node #3: [42, 20] from Operation: 16+4=20 Current State: 22:[42, 20], Operations: ['98-56=42', '16+4=20'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 85, 77, 91, 30 ]
72
[ "91-85=6", "30/6=5", "77-5=72" ]
Current State: 72:[85, 77, 91, 30], Operations: [] Exploring Operation: 91-85=6, Resulting Numbers: [77, 30, 6] Generated Node #2: [77, 30, 6] from Operation: 91-85=6 Current State: 72:[77, 30, 6], Operations: ['91-85=6'] Exploring Operation: 30/6=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 30/6=5 Current State: 72:[77, 5], Operations: ['91-85=6', '30/6=5'] Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 78, 54, 87 ]
60
[ "87-78=9", "54/9=6", "54+6=60" ]
Current State: 60:[54, 78, 54, 87], Operations: [] Exploring Operation: 87-78=9, Resulting Numbers: [54, 54, 9] Generated Node #2: [54, 54, 9] from Operation: 87-78=9 Current State: 60:[54, 54, 9], Operations: ['87-78=9'] Exploring Operation: 54/9=6, Resulting Numbers: [6] 6,60 equal: Goal Reached Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 23, 76, 69 ]
21
[ "23-20=3", "76-69=7", "3*7=21" ]
Current State: 21:[20, 23, 76, 69], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [76, 69, 3] Generated Node #2: [76, 69, 3] from Operation: 23-20=3 Current State: 21:[76, 69, 3], Operations: ['23-20=3'] Exploring Operation: 76-69=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 76-69=7 Current State: 21:[3, 7], Operations: ['23-20=3', '76-69=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 53, 26, 62 ]
100
[ "11+53=64", "62-26=36", "64+36=100" ]
Current State: 100:[11, 53, 26, 62], Operations: [] Exploring Operation: 11+53=64, Resulting Numbers: [26, 62, 64] Generated Node #2: [26, 62, 64] from Operation: 11+53=64 Current State: 100:[26, 62, 64], Operations: ['11+53=64'] Exploring Operation: 62-26=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 62-26=36 Current State: 100:[64, 36], Operations: ['11+53=64', '62-26=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 59, 55, 3, 57 ]
69
[ "59-55=4", "3*4=12", "57+12=69" ]
Current State: 69:[59, 55, 3, 57], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [3, 57, 4] Generated Node #2: [3, 57, 4] from Operation: 59-55=4 Current State: 69:[3, 57, 4], Operations: ['59-55=4'] Exploring Operation: 3*4=12, Resulting Numbers: [57, 12] Generated Node #3: [57, 12] from Operation: 3*4=12 Current State: 69:[57, 12], Operations: ['59-55=4', '3*4=12'] Exploring Operation: 57+12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 74, 85, 76, 18 ]
83
[ "74*85=6290", "18+6290=6308", "6308/76=83" ]
Current State: 83:[74, 85, 76, 18], Operations: [] Exploring Operation: 74*85=6290, Resulting Numbers: [76, 18, 6290] Generated Node #2: [76, 18, 6290] from Operation: 74*85=6290 Current State: 83:[76, 18, 6290], Operations: ['74*85=6290'] Exploring Operation: 18+6290=6308, Resulting Numbers: [76, 6308] Generated Node #3: [76, 6308] from Operation: 18+6290=6308 Current State: 83:[76, 6308], Operations: ['74*85=6290', '18+6290=6308'] Exploring Operation: 6308/76=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 64, 26, 83, 37 ]
82
[ "64-26=38", "83+37=120", "120-38=82" ]
Current State: 82:[64, 26, 83, 37], Operations: [] Exploring Operation: 64-26=38, Resulting Numbers: [83, 37, 38] Generated Node #2: [83, 37, 38] from Operation: 64-26=38 Current State: 82:[83, 37, 38], Operations: ['64-26=38'] Exploring Operation: 83+37=120, Resulting Numbers: [38, 120] Generated Node #3: [38, 120] from Operation: 83+37=120 Current State: 82:[38, 120], Operations: ['64-26=38', '83+37=120'] Exploring Operation: 120-38=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 4, 43, 97, 72 ]
17
[ "43+97=140", "140-72=68", "68/4=17" ]
Current State: 17:[4, 43, 97, 72], Operations: [] Exploring Operation: 43+97=140, Resulting Numbers: [4, 72, 140] Generated Node #2: [4, 72, 140] from Operation: 43+97=140 Current State: 17:[4, 72, 140], Operations: ['43+97=140'] Exploring Operation: 140-72=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 140-72=68 Current State: 17:[4, 68], Operations: ['43+97=140', '140-72=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 62, 43, 66, 7 ]
54
[ "62-43=19", "66+7=73", "73-19=54" ]
Current State: 54:[62, 43, 66, 7], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [66, 7, 19] Generated Node #2: [66, 7, 19] from Operation: 62-43=19 Current State: 54:[66, 7, 19], Operations: ['62-43=19'] Exploring Operation: 66+7=73, Resulting Numbers: [19, 73] Generated Node #3: [19, 73] from Operation: 66+7=73 Current State: 54:[19, 73], Operations: ['62-43=19', '66+7=73'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 20, 41, 86, 2 ]
67
[ "41-20=21", "86+2=88", "88-21=67" ]
Current State: 67:[20, 41, 86, 2], Operations: [] Exploring Operation: 41-20=21, Resulting Numbers: [86, 2, 21] Generated Node #2: [86, 2, 21] from Operation: 41-20=21 Current State: 67:[86, 2, 21], Operations: ['41-20=21'] Exploring Operation: 86+2=88, Resulting Numbers: [21, 88] Generated Node #3: [21, 88] from Operation: 86+2=88 Current State: 67:[21, 88], Operations: ['41-20=21', '86+2=88'] Exploring Operation: 88-21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 6, 2, 27 ]
85
[ "23+6=29", "2*29=58", "27+58=85" ]
Current State: 85:[23, 6, 2, 27], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [2, 27, 29] Generated Node #2: [2, 27, 29] from Operation: 23+6=29 Current State: 85:[2, 27, 29], Operations: ['23+6=29'] Exploring Operation: 2*29=58, Resulting Numbers: [27, 58] Generated Node #3: [27, 58] from Operation: 2*29=58 Current State: 85:[27, 58], Operations: ['23+6=29', '2*29=58'] Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 56, 41, 24 ]
19
[ "56-20=36", "41-24=17", "36-17=19" ]
Current State: 19:[20, 56, 41, 24], Operations: [] Exploring Operation: 56-20=36, Resulting Numbers: [41, 24, 36] Generated Node #2: [41, 24, 36] from Operation: 56-20=36 Current State: 19:[41, 24, 36], Operations: ['56-20=36'] Exploring Operation: 41-24=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 41-24=17 Current State: 19:[36, 17], Operations: ['56-20=36', '41-24=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 25, 98, 3, 16 ]
13
[ "98+16=114", "114/3=38", "38-25=13" ]
Current State: 13:[25, 98, 3, 16], Operations: [] Exploring Operation: 98+16=114, Resulting Numbers: [25, 3, 114] Generated Node #2: [25, 3, 114] from Operation: 98+16=114 Current State: 13:[25, 3, 114], Operations: ['98+16=114'] Exploring Operation: 114/3=38, Resulting Numbers: [25, 38] Generated Node #3: [25, 38] from Operation: 114/3=38 Current State: 13:[25, 38], Operations: ['98+16=114', '114/3=38'] Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 36, 41, 72 ]
19
[ "36-24=12", "72-41=31", "31-12=19" ]
Current State: 19:[24, 36, 41, 72], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [41, 72, 12] Generated Node #2: [41, 72, 12] from Operation: 36-24=12 Current State: 19:[41, 72, 12], Operations: ['36-24=12'] Exploring Operation: 72-41=31, Resulting Numbers: [12, 31] Generated Node #3: [12, 31] from Operation: 72-41=31 Current State: 19:[12, 31], Operations: ['36-24=12', '72-41=31'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 40, 67, 23, 2 ]
73
[ "67-40=27", "23*2=46", "27+46=73" ]
Current State: 73:[40, 67, 23, 2], Operations: [] Exploring Operation: 67-40=27, Resulting Numbers: [23, 2, 27] Generated Node #2: [23, 2, 27] from Operation: 67-40=27 Current State: 73:[23, 2, 27], Operations: ['67-40=27'] Exploring Operation: 23*2=46, Resulting Numbers: [27, 46] Generated Node #3: [27, 46] from Operation: 23*2=46 Current State: 73:[27, 46], Operations: ['67-40=27', '23*2=46'] Exploring Operation: 27+46=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 67, 5, 44, 69 ]
83
[ "69-67=2", "44*2=88", "88-5=83" ]
Current State: 83:[67, 5, 44, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [5, 44, 2] Generated Node #2: [5, 44, 2] from Operation: 69-67=2 Current State: 83:[5, 44, 2], Operations: ['69-67=2'] Exploring Operation: 44*2=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 44*2=88 Current State: 83:[5, 88], Operations: ['69-67=2', '44*2=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 27, 62, 55 ]
55
[ "88-27=61", "62-61=1", "55*1=55" ]
Current State: 55:[88, 27, 62, 55], Operations: [] Exploring Operation: 88-27=61, Resulting Numbers: [62, 55, 61] Generated Node #2: [62, 55, 61] from Operation: 88-27=61 Current State: 55:[62, 55, 61], Operations: ['88-27=61'] Exploring Operation: 62-61=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 62-61=1 Current State: 55:[55, 1], Operations: ['88-27=61', '62-61=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 59, 24, 25 ]
47
[ "59-11=48", "25-24=1", "48-1=47" ]
Current State: 47:[11, 59, 24, 25], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [24, 25, 48] Generated Node #2: [24, 25, 48] from Operation: 59-11=48 Current State: 47:[24, 25, 48], Operations: ['59-11=48'] Exploring Operation: 25-24=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 25-24=1 Current State: 47:[48, 1], Operations: ['59-11=48', '25-24=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 5, 3, 4, 33 ]
22
[ "5*3=15", "4+33=37", "37-15=22" ]
Current State: 22:[5, 3, 4, 33], Operations: [] Exploring Operation: 5*3=15, Resulting Numbers: [4, 33, 15] Generated Node #2: [4, 33, 15] from Operation: 5*3=15 Current State: 22:[4, 33, 15], Operations: ['5*3=15'] Exploring Operation: 4+33=37, Resulting Numbers: [15, 37] Generated Node #3: [15, 37] from Operation: 4+33=37 Current State: 22:[15, 37], Operations: ['5*3=15', '4+33=37'] Exploring Operation: 37-15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 93, 26, 98 ]
32
[ "11+93=104", "98-26=72", "104-72=32" ]
Current State: 32:[11, 93, 26, 98], Operations: [] Exploring Operation: 11+93=104, Resulting Numbers: [26, 98, 104] Generated Node #2: [26, 98, 104] from Operation: 11+93=104 Current State: 32:[26, 98, 104], Operations: ['11+93=104'] Exploring Operation: 98-26=72, Resulting Numbers: [104, 72] Generated Node #3: [104, 72] from Operation: 98-26=72 Current State: 32:[104, 72], Operations: ['11+93=104', '98-26=72'] Exploring Operation: 104-72=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 30, 11, 57 ]
52
[ "4*30=120", "11+57=68", "120-68=52" ]
Current State: 52:[4, 30, 11, 57], Operations: [] Exploring Operation: 4*30=120, Resulting Numbers: [11, 57, 120] Generated Node #2: [11, 57, 120] from Operation: 4*30=120 Current State: 52:[11, 57, 120], Operations: ['4*30=120'] Exploring Operation: 11+57=68, Resulting Numbers: [120, 68] Generated Node #3: [120, 68] from Operation: 11+57=68 Current State: 52:[120, 68], Operations: ['4*30=120', '11+57=68'] Exploring Operation: 120-68=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 37, 46, 33, 23 ]
46
[ "37-33=4", "23*4=92", "92-46=46" ]
Current State: 46:[37, 46, 33, 23], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [46, 23, 4] Generated Node #2: [46, 23, 4] from Operation: 37-33=4 Current State: 46:[46, 23, 4], Operations: ['37-33=4'] Exploring Operation: 23*4=92, Resulting Numbers: [46, 92] Generated Node #3: [46, 92] from Operation: 23*4=92 Current State: 46:[46, 92], Operations: ['37-33=4', '23*4=92'] Exploring Operation: 92-46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 63, 28, 32, 39 ]
36
[ "63-28=35", "32+39=71", "71-35=36" ]
Current State: 36:[63, 28, 32, 39], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [32, 39, 35] Generated Node #2: [32, 39, 35] from Operation: 63-28=35 Current State: 36:[32, 39, 35], Operations: ['63-28=35'] Exploring Operation: 32+39=71, Resulting Numbers: [35, 71] Generated Node #3: [35, 71] from Operation: 32+39=71 Current State: 36:[35, 71], Operations: ['63-28=35', '32+39=71'] Exploring Operation: 71-35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 31, 24, 19 ]
60
[ "24+31=55", "24-19=5", "55+5=60" ]
Current State: 60:[24, 31, 24, 19], Operations: [] Exploring Operation: 24+31=55, Resulting Numbers: [19, 55] Generated Node #2: [19, 55] from Operation: 24+31=55 Current State: 60:[19, 55], Operations: ['24+31=55'] Exploring Operation: 24-19=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 24-19=5 Current State: 60:[55, 5], Operations: ['24+31=55', '24-19=5'] Exploring Operation: 55+5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 36, 72, 26 ]
33
[ "40+26=66", "72/36=2", "66/2=33" ]
Current State: 33:[40, 36, 72, 26], Operations: [] Exploring Operation: 40+26=66, Resulting Numbers: [36, 72, 66] Generated Node #2: [36, 72, 66] from Operation: 40+26=66 Current State: 33:[36, 72, 66], Operations: ['40+26=66'] Exploring Operation: 72/36=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 72/36=2 Current State: 33:[66, 2], Operations: ['40+26=66', '72/36=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 67, 65, 44, 54 ]
34
[ "67+65=132", "44+54=98", "132-98=34" ]
Current State: 34:[67, 65, 44, 54], Operations: [] Exploring Operation: 67+65=132, Resulting Numbers: [44, 54, 132] Generated Node #2: [44, 54, 132] from Operation: 67+65=132 Current State: 34:[44, 54, 132], Operations: ['67+65=132'] Exploring Operation: 44+54=98, Resulting Numbers: [132, 98] Generated Node #3: [132, 98] from Operation: 44+54=98 Current State: 34:[132, 98], Operations: ['67+65=132', '44+54=98'] Exploring Operation: 132-98=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 51, 71, 71 ]
16
[ "51/3=17", "71/71=1", "17-1=16" ]
Current State: 16:[3, 51, 71, 71], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [71, 71, 17] Generated Node #2: [71, 71, 17] from Operation: 51/3=17 Current State: 16:[71, 71, 17], Operations: ['51/3=17'] Exploring Operation: 71/71=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 71/71=1 Current State: 16:[17, 1], Operations: ['51/3=17', '71/71=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 20, 3, 70, 72 ]
58
[ "20*3=60", "72-70=2", "60-2=58" ]
Current State: 58:[20, 3, 70, 72], Operations: [] Exploring Operation: 20*3=60, Resulting Numbers: [70, 72, 60] Generated Node #2: [70, 72, 60] from Operation: 20*3=60 Current State: 58:[70, 72, 60], Operations: ['20*3=60'] Exploring Operation: 72-70=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 72-70=2 Current State: 58:[60, 2], Operations: ['20*3=60', '72-70=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 85, 70, 42, 75 ]
40
[ "70*75=5250", "5250/42=125", "125-85=40" ]
Current State: 40:[85, 70, 42, 75], Operations: [] Exploring Operation: 70*75=5250, Resulting Numbers: [85, 42, 5250] Generated Node #2: [85, 42, 5250] from Operation: 70*75=5250 Current State: 40:[85, 42, 5250], Operations: ['70*75=5250'] Exploring Operation: 5250/42=125, Resulting Numbers: [85, 125] Generated Node #3: [85, 125] from Operation: 5250/42=125 Current State: 40:[85, 125], Operations: ['70*75=5250', '5250/42=125'] Exploring Operation: 125-85=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 51, 98, 68, 28 ]
77
[ "51*28=1428", "1428/68=21", "98-21=77" ]
Current State: 77:[51, 98, 68, 28], Operations: [] Exploring Operation: 51*28=1428, Resulting Numbers: [98, 68, 1428] Generated Node #2: [98, 68, 1428] from Operation: 51*28=1428 Current State: 77:[98, 68, 1428], Operations: ['51*28=1428'] Exploring Operation: 1428/68=21, Resulting Numbers: [98, 21] Generated Node #3: [98, 21] from Operation: 1428/68=21 Current State: 77:[98, 21], Operations: ['51*28=1428', '1428/68=21'] Exploring Operation: 98-21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 63, 39, 29 ]
72
[ "77+63=140", "39+29=68", "140-68=72" ]
Current State: 72:[77, 63, 39, 29], Operations: [] Exploring Operation: 77+63=140, Resulting Numbers: [39, 29, 140] Generated Node #2: [39, 29, 140] from Operation: 77+63=140 Current State: 72:[39, 29, 140], Operations: ['77+63=140'] Exploring Operation: 39+29=68, Resulting Numbers: [140, 68] Generated Node #3: [140, 68] from Operation: 39+29=68 Current State: 72:[140, 68], Operations: ['77+63=140', '39+29=68'] Exploring Operation: 140-68=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 54, 47, 59 ]
82
[ "57-54=3", "47*3=141", "141-59=82" ]
Current State: 82:[57, 54, 47, 59], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [47, 59, 3] Generated Node #2: [47, 59, 3] from Operation: 57-54=3 Current State: 82:[47, 59, 3], Operations: ['57-54=3'] Exploring Operation: 47*3=141, Resulting Numbers: [59, 141] Generated Node #3: [59, 141] from Operation: 47*3=141 Current State: 82:[59, 141], Operations: ['57-54=3', '47*3=141'] Exploring Operation: 141-59=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 24, 57, 8, 25 ]
16
[ "57-24=33", "25-8=17", "33-17=16" ]
Current State: 16:[24, 57, 8, 25], Operations: [] Exploring Operation: 57-24=33, Resulting Numbers: [8, 25, 33] Generated Node #2: [8, 25, 33] from Operation: 57-24=33 Current State: 16:[8, 25, 33], Operations: ['57-24=33'] Exploring Operation: 25-8=17, Resulting Numbers: [33, 17] Generated Node #3: [33, 17] from Operation: 25-8=17 Current State: 16:[33, 17], Operations: ['57-24=33', '25-8=17'] Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 23, 4, 9, 4 ]
99
[ "23+4=27", "4*27=108", "108-9=99" ]
Current State: 99:[23, 4, 9, 4], Operations: [] Exploring Operation: 23+4=27, Resulting Numbers: [9, 27] Generated Node #2: [9, 27] from Operation: 23+4=27 Current State: 99:[9, 27], Operations: ['23+4=27'] Exploring Operation: 4*27=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 4*27=108 Current State: 99:[9, 108], Operations: ['23+4=27', '4*27=108'] Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 88, 33, 47 ]
43
[ "33-11=22", "88/22=4", "47-4=43" ]
Current State: 43:[11, 88, 33, 47], Operations: [] Exploring Operation: 33-11=22, Resulting Numbers: [88, 47, 22] Generated Node #2: [88, 47, 22] from Operation: 33-11=22 Current State: 43:[88, 47, 22], Operations: ['33-11=22'] Exploring Operation: 88/22=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 88/22=4 Current State: 43:[47, 4], Operations: ['33-11=22', '88/22=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 4, 70, 24 ]
58
[ "26*4=104", "70-24=46", "104-46=58" ]
Current State: 58:[26, 4, 70, 24], Operations: [] Exploring Operation: 26*4=104, Resulting Numbers: [70, 24, 104] Generated Node #2: [70, 24, 104] from Operation: 26*4=104 Current State: 58:[70, 24, 104], Operations: ['26*4=104'] Exploring Operation: 70-24=46, Resulting Numbers: [104, 46] Generated Node #3: [104, 46] from Operation: 70-24=46 Current State: 58:[104, 46], Operations: ['26*4=104', '70-24=46'] Exploring Operation: 104-46=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 61, 31, 59 ]
62
[ "91+61=152", "31+59=90", "152-90=62" ]
Current State: 62:[91, 61, 31, 59], Operations: [] Exploring Operation: 91+61=152, Resulting Numbers: [31, 59, 152] Generated Node #2: [31, 59, 152] from Operation: 91+61=152 Current State: 62:[31, 59, 152], Operations: ['91+61=152'] Exploring Operation: 31+59=90, Resulting Numbers: [152, 90] Generated Node #3: [152, 90] from Operation: 31+59=90 Current State: 62:[152, 90], Operations: ['91+61=152', '31+59=90'] Exploring Operation: 152-90=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 99, 1, 57, 50 ]
59
[ "99+1=100", "100/50=2", "57+2=59" ]
Current State: 59:[99, 1, 57, 50], Operations: [] Exploring Operation: 99+1=100, Resulting Numbers: [57, 50, 100] Generated Node #2: [57, 50, 100] from Operation: 99+1=100 Current State: 59:[57, 50, 100], Operations: ['99+1=100'] Exploring Operation: 100/50=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 100/50=2 Current State: 59:[57, 2], Operations: ['99+1=100', '100/50=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 78, 54, 52, 55 ]
46
[ "78-55=23", "54-52=2", "23*2=46" ]
Current State: 46:[78, 54, 52, 55], Operations: [] Exploring Operation: 78-55=23, Resulting Numbers: [54, 52, 23] Generated Node #2: [54, 52, 23] from Operation: 78-55=23 Current State: 46:[54, 52, 23], Operations: ['78-55=23'] Exploring Operation: 54-52=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 54-52=2 Current State: 46:[23, 2], Operations: ['78-55=23', '54-52=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 31, 49, 18 ]
49
[ "2*49=98", "31+18=49", "98-49=49" ]
Current State: 49:[2, 31, 49, 18], Operations: [] Exploring Operation: 2*49=98, Resulting Numbers: [31, 18, 98] Generated Node #2: [31, 18, 98] from Operation: 2*49=98 Current State: 49:[31, 18, 98], Operations: ['2*49=98'] Exploring Operation: 31+18=49, Resulting Numbers: [98, 49] Generated Node #3: [98, 49] from Operation: 31+18=49 Current State: 49:[98, 49], Operations: ['2*49=98', '31+18=49'] Exploring Operation: 98-49=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 28, 97, 55, 88 ]
18
[ "28+97=125", "55+88=143", "143-125=18" ]
Current State: 18:[28, 97, 55, 88], Operations: [] Exploring Operation: 28+97=125, Resulting Numbers: [55, 88, 125] Generated Node #2: [55, 88, 125] from Operation: 28+97=125 Current State: 18:[55, 88, 125], Operations: ['28+97=125'] Exploring Operation: 55+88=143, Resulting Numbers: [125, 143] Generated Node #3: [125, 143] from Operation: 55+88=143 Current State: 18:[125, 143], Operations: ['28+97=125', '55+88=143'] Exploring Operation: 143-125=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4