Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 6, 1, 33 ]
21
[ "9*6=54", "1*33=33", "54-33=21" ]
Current State: 21:[9, 6, 1, 33], Operations: [] Exploring Operation: 9*6=54, Resulting Numbers: [1, 33, 54] Generated Node #2: [1, 33, 54] from Operation: 9*6=54 Current State: 21:[1, 33, 54], Operations: ['9*6=54'] Exploring Operation: 1*33=33, Resulting Numbers: [54, 33] Generated Node #3: [54, 33] from Operation: 1*33=33 Current State: 21:[54, 33], Operations: ['9*6=54', '1*33=33'] Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 23, 14, 38, 69 ]
27
[ "69/23=3", "38-14=24", "3+24=27" ]
Current State: 27:[23, 14, 38, 69], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [14, 38, 3] Generated Node #2: [14, 38, 3] from Operation: 69/23=3 Current State: 27:[14, 38, 3], Operations: ['69/23=3'] Exploring Operation: 38-14=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 38-14=24 Current State: 27:[3, 24], Operations: ['69/23=3', '38-14=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 40, 62, 71 ]
47
[ "71-62=9", "63/9=7", "40+7=47" ]
Current State: 47:[63, 40, 62, 71], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [63, 40, 9] Generated Node #2: [63, 40, 9] from Operation: 71-62=9 Current State: 47:[63, 40, 9], Operations: ['71-62=9'] Exploring Operation: 63/9=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 63/9=7 Current State: 47:[40, 7], Operations: ['71-62=9', '63/9=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 66, 54, 81, 57 ]
39
[ "57-54=3", "81/3=27", "66-27=39" ]
Current State: 39:[66, 54, 81, 57], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [66, 81, 3] Generated Node #2: [66, 81, 3] from Operation: 57-54=3 Current State: 39:[66, 81, 3], Operations: ['57-54=3'] Exploring Operation: 81/3=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 81/3=27 Current State: 39:[66, 27], Operations: ['57-54=3', '81/3=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 39, 5, 13, 49 ]
57
[ "39/13=3", "5+49=54", "3+54=57" ]
Current State: 57:[39, 5, 13, 49], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [5, 49, 3] Generated Node #2: [5, 49, 3] from Operation: 39/13=3 Current State: 57:[5, 49, 3], Operations: ['39/13=3'] Exploring Operation: 5+49=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 5+49=54 Current State: 57:[3, 54], Operations: ['39/13=3', '5+49=54'] Exploring Operation: 3+54=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 99, 13, 78, 12 ]
20
[ "99-13=86", "78-12=66", "86-66=20" ]
Current State: 20:[99, 13, 78, 12], Operations: [] Exploring Operation: 99-13=86, Resulting Numbers: [78, 12, 86] Generated Node #2: [78, 12, 86] from Operation: 99-13=86 Current State: 20:[78, 12, 86], Operations: ['99-13=86'] Exploring Operation: 78-12=66, Resulting Numbers: [86, 66] Generated Node #3: [86, 66] from Operation: 78-12=66 Current State: 20:[86, 66], Operations: ['99-13=86', '78-12=66'] Exploring Operation: 86-66=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 43, 14, 51 ]
78
[ "72+43=115", "51-14=37", "115-37=78" ]
Current State: 78:[72, 43, 14, 51], Operations: [] Exploring Operation: 72+43=115, Resulting Numbers: [14, 51, 115] Generated Node #2: [14, 51, 115] from Operation: 72+43=115 Current State: 78:[14, 51, 115], Operations: ['72+43=115'] Exploring Operation: 51-14=37, Resulting Numbers: [115, 37] Generated Node #3: [115, 37] from Operation: 51-14=37 Current State: 78:[115, 37], Operations: ['72+43=115', '51-14=37'] Exploring Operation: 115-37=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 31, 29, 51 ]
13
[ "40-31=9", "51-29=22", "22-9=13" ]
Current State: 13:[40, 31, 29, 51], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [29, 51, 9] Generated Node #2: [29, 51, 9] from Operation: 40-31=9 Current State: 13:[29, 51, 9], Operations: ['40-31=9'] Exploring Operation: 51-29=22, Resulting Numbers: [9, 22] Generated Node #3: [9, 22] from Operation: 51-29=22 Current State: 13:[9, 22], Operations: ['40-31=9', '51-29=22'] Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 39, 4, 37, 44 ]
37
[ "39+4=43", "44-43=1", "37*1=37" ]
Current State: 37:[39, 4, 37, 44], Operations: [] Exploring Operation: 39+4=43, Resulting Numbers: [37, 44, 43] Generated Node #2: [37, 44, 43] from Operation: 39+4=43 Current State: 37:[37, 44, 43], Operations: ['39+4=43'] Exploring Operation: 44-43=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 44-43=1 Current State: 37:[37, 1], Operations: ['39+4=43', '44-43=1'] Exploring Operation: 37*1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 5, 7, 97 ]
69
[ "16+5=21", "97-7=90", "90-21=69" ]
Current State: 69:[16, 5, 7, 97], Operations: [] Exploring Operation: 16+5=21, Resulting Numbers: [7, 97, 21] Generated Node #2: [7, 97, 21] from Operation: 16+5=21 Current State: 69:[7, 97, 21], Operations: ['16+5=21'] Exploring Operation: 97-7=90, Resulting Numbers: [21, 90] Generated Node #3: [21, 90] from Operation: 97-7=90 Current State: 69:[21, 90], Operations: ['16+5=21', '97-7=90'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 70, 3, 90 ]
26
[ "2*3=6", "90-70=20", "6+20=26" ]
Current State: 26:[2, 70, 3, 90], Operations: [] Exploring Operation: 2*3=6, Resulting Numbers: [70, 90, 6] Generated Node #2: [70, 90, 6] from Operation: 2*3=6 Current State: 26:[70, 90, 6], Operations: ['2*3=6'] Exploring Operation: 90-70=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 90-70=20 Current State: 26:[6, 20], Operations: ['2*3=6', '90-70=20'] Exploring Operation: 6+20=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 27, 14, 43, 18 ]
90
[ "27+43=70", "70/14=5", "18*5=90" ]
Current State: 90:[27, 14, 43, 18], Operations: [] Exploring Operation: 27+43=70, Resulting Numbers: [14, 18, 70] Generated Node #2: [14, 18, 70] from Operation: 27+43=70 Current State: 90:[14, 18, 70], Operations: ['27+43=70'] Exploring Operation: 70/14=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 70/14=5 Current State: 90:[18, 5], Operations: ['27+43=70', '70/14=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 95, 83, 66, 9 ]
63
[ "95-83=12", "66+9=75", "75-12=63" ]
Current State: 63:[95, 83, 66, 9], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [66, 9, 12] Generated Node #2: [66, 9, 12] from Operation: 95-83=12 Current State: 63:[66, 9, 12], Operations: ['95-83=12'] Exploring Operation: 66+9=75, Resulting Numbers: [12, 75] Generated Node #3: [12, 75] from Operation: 66+9=75 Current State: 63:[12, 75], Operations: ['95-83=12', '66+9=75'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 64, 86, 83 ]
45
[ "60+64=124", "86+83=169", "169-124=45" ]
Current State: 45:[60, 64, 86, 83], Operations: [] Exploring Operation: 60+64=124, Resulting Numbers: [86, 83, 124] Generated Node #2: [86, 83, 124] from Operation: 60+64=124 Current State: 45:[86, 83, 124], Operations: ['60+64=124'] Exploring Operation: 86+83=169, Resulting Numbers: [124, 169] Generated Node #3: [124, 169] from Operation: 86+83=169 Current State: 45:[124, 169], Operations: ['60+64=124', '86+83=169'] Exploring Operation: 169-124=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 78, 86, 48, 2 ]
44
[ "86-78=8", "8/2=4", "48-4=44" ]
Current State: 44:[78, 86, 48, 2], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [48, 2, 8] Generated Node #2: [48, 2, 8] from Operation: 86-78=8 Current State: 44:[48, 2, 8], Operations: ['86-78=8'] Exploring Operation: 8/2=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 8/2=4 Current State: 44:[48, 4], Operations: ['86-78=8', '8/2=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 67, 92, 22, 24 ]
50
[ "92-67=25", "24-22=2", "25*2=50" ]
Current State: 50:[67, 92, 22, 24], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [22, 24, 25] Generated Node #2: [22, 24, 25] from Operation: 92-67=25 Current State: 50:[22, 24, 25], Operations: ['92-67=25'] Exploring Operation: 24-22=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 24-22=2 Current State: 50:[25, 2], Operations: ['92-67=25', '24-22=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 90, 40, 24 ]
98
[ "2*24=48", "90-40=50", "48+50=98" ]
Current State: 98:[2, 90, 40, 24], Operations: [] Exploring Operation: 2*24=48, Resulting Numbers: [90, 40, 48] Generated Node #2: [90, 40, 48] from Operation: 2*24=48 Current State: 98:[90, 40, 48], Operations: ['2*24=48'] Exploring Operation: 90-40=50, Resulting Numbers: [48, 50] Generated Node #3: [48, 50] from Operation: 90-40=50 Current State: 98:[48, 50], Operations: ['2*24=48', '90-40=50'] Exploring Operation: 48+50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 2, 82, 52 ]
20
[ "10+82=92", "92-52=40", "40/2=20" ]
Current State: 20:[10, 2, 82, 52], Operations: [] Exploring Operation: 10+82=92, Resulting Numbers: [2, 52, 92] Generated Node #2: [2, 52, 92] from Operation: 10+82=92 Current State: 20:[2, 52, 92], Operations: ['10+82=92'] Exploring Operation: 92-52=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 92-52=40 Current State: 20:[2, 40], Operations: ['10+82=92', '92-52=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 64, 50, 28, 27 ]
34
[ "64*27=1728", "1728-28=1700", "1700/50=34" ]
Current State: 34:[64, 50, 28, 27], Operations: [] Exploring Operation: 64*27=1728, Resulting Numbers: [50, 28, 1728] Generated Node #2: [50, 28, 1728] from Operation: 64*27=1728 Current State: 34:[50, 28, 1728], Operations: ['64*27=1728'] Exploring Operation: 1728-28=1700, Resulting Numbers: [50, 1700] Generated Node #3: [50, 1700] from Operation: 1728-28=1700 Current State: 34:[50, 1700], Operations: ['64*27=1728', '1728-28=1700'] Exploring Operation: 1700/50=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 56, 30, 90 ]
89
[ "56-25=31", "30+90=120", "120-31=89" ]
Current State: 89:[25, 56, 30, 90], Operations: [] Exploring Operation: 56-25=31, Resulting Numbers: [30, 90, 31] Generated Node #2: [30, 90, 31] from Operation: 56-25=31 Current State: 89:[30, 90, 31], Operations: ['56-25=31'] Exploring Operation: 30+90=120, Resulting Numbers: [31, 120] Generated Node #3: [31, 120] from Operation: 30+90=120 Current State: 89:[31, 120], Operations: ['56-25=31', '30+90=120'] Exploring Operation: 120-31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 46, 4, 26, 42 ]
100
[ "46-42=4", "4*26=104", "104-4=100" ]
Current State: 100:[46, 4, 26, 42], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [4, 26, 4] Generated Node #2: [4, 26, 4] from Operation: 46-42=4 Current State: 100:[4, 26, 4], Operations: ['46-42=4'] Exploring Operation: 4*26=104, Resulting Numbers: [104] 104,100 equal: Goal Reached Exploring Operation: 104-4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 6, 47, 26, 19 ]
89
[ "26-19=7", "6*7=42", "47+42=89" ]
Current State: 89:[6, 47, 26, 19], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [6, 47, 7] Generated Node #2: [6, 47, 7] from Operation: 26-19=7 Current State: 89:[6, 47, 7], Operations: ['26-19=7'] Exploring Operation: 6*7=42, Resulting Numbers: [47, 42] Generated Node #3: [47, 42] from Operation: 6*7=42 Current State: 89:[47, 42], Operations: ['26-19=7', '6*7=42'] Exploring Operation: 47+42=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 56, 51, 10 ]
84
[ "69+56=125", "51-10=41", "125-41=84" ]
Current State: 84:[69, 56, 51, 10], Operations: [] Exploring Operation: 69+56=125, Resulting Numbers: [51, 10, 125] Generated Node #2: [51, 10, 125] from Operation: 69+56=125 Current State: 84:[51, 10, 125], Operations: ['69+56=125'] Exploring Operation: 51-10=41, Resulting Numbers: [125, 41] Generated Node #3: [125, 41] from Operation: 51-10=41 Current State: 84:[125, 41], Operations: ['69+56=125', '51-10=41'] Exploring Operation: 125-41=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 44, 45, 25, 72 ]
97
[ "45-44=1", "25+72=97", "1*97=97" ]
Current State: 97:[44, 45, 25, 72], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [25, 72, 1] Generated Node #2: [25, 72, 1] from Operation: 45-44=1 Current State: 97:[25, 72, 1], Operations: ['45-44=1'] Exploring Operation: 25+72=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 25+72=97 Current State: 97:[1, 97], Operations: ['45-44=1', '25+72=97'] Exploring Operation: 1*97=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 37, 92, 2 ]
84
[ "37-27=10", "92+2=94", "94-10=84" ]
Current State: 84:[27, 37, 92, 2], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [92, 2, 10] Generated Node #2: [92, 2, 10] from Operation: 37-27=10 Current State: 84:[92, 2, 10], Operations: ['37-27=10'] Exploring Operation: 92+2=94, Resulting Numbers: [10, 94] Generated Node #3: [10, 94] from Operation: 92+2=94 Current State: 84:[10, 94], Operations: ['37-27=10', '92+2=94'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 4, 7, 42 ]
77
[ "63+42=105", "4*7=28", "105-28=77" ]
Current State: 77:[63, 4, 7, 42], Operations: [] Exploring Operation: 63+42=105, Resulting Numbers: [4, 7, 105] Generated Node #2: [4, 7, 105] from Operation: 63+42=105 Current State: 77:[4, 7, 105], Operations: ['63+42=105'] Exploring Operation: 4*7=28, Resulting Numbers: [105, 28] Generated Node #3: [105, 28] from Operation: 4*7=28 Current State: 77:[105, 28], Operations: ['63+42=105', '4*7=28'] Exploring Operation: 105-28=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 78, 13, 51 ]
65
[ "51-40=11", "13*11=143", "143-78=65" ]
Current State: 65:[40, 78, 13, 51], Operations: [] Exploring Operation: 51-40=11, Resulting Numbers: [78, 13, 11] Generated Node #2: [78, 13, 11] from Operation: 51-40=11 Current State: 65:[78, 13, 11], Operations: ['51-40=11'] Exploring Operation: 13*11=143, Resulting Numbers: [78, 143] Generated Node #3: [78, 143] from Operation: 13*11=143 Current State: 65:[78, 143], Operations: ['51-40=11', '13*11=143'] Exploring Operation: 143-78=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 82, 51, 48, 44 ]
27
[ "82-51=31", "48-44=4", "31-4=27" ]
Current State: 27:[82, 51, 48, 44], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [48, 44, 31] Generated Node #2: [48, 44, 31] from Operation: 82-51=31 Current State: 27:[48, 44, 31], Operations: ['82-51=31'] Exploring Operation: 48-44=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 48-44=4 Current State: 27:[31, 4], Operations: ['82-51=31', '48-44=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 49, 61, 81 ]
57
[ "66*61=4026", "49*81=3969", "4026-3969=57" ]
Current State: 57:[66, 49, 61, 81], Operations: [] Exploring Operation: 66*61=4026, Resulting Numbers: [49, 81, 4026] Generated Node #2: [49, 81, 4026] from Operation: 66*61=4026 Current State: 57:[49, 81, 4026], Operations: ['66*61=4026'] Exploring Operation: 49*81=3969, Resulting Numbers: [4026, 3969] Generated Node #3: [4026, 3969] from Operation: 49*81=3969 Current State: 57:[4026, 3969], Operations: ['66*61=4026', '49*81=3969'] Exploring Operation: 4026-3969=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 37, 62, 71 ]
79
[ "62-37=25", "6*25=150", "150-71=79" ]
Current State: 79:[6, 37, 62, 71], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [6, 71, 25] Generated Node #2: [6, 71, 25] from Operation: 62-37=25 Current State: 79:[6, 71, 25], Operations: ['62-37=25'] Exploring Operation: 6*25=150, Resulting Numbers: [71, 150] Generated Node #3: [71, 150] from Operation: 6*25=150 Current State: 79:[71, 150], Operations: ['62-37=25', '6*25=150'] Exploring Operation: 150-71=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 82, 31, 91 ]
77
[ "28*82=2296", "91+2296=2387", "2387/31=77" ]
Current State: 77:[28, 82, 31, 91], Operations: [] Exploring Operation: 28*82=2296, Resulting Numbers: [31, 91, 2296] Generated Node #2: [31, 91, 2296] from Operation: 28*82=2296 Current State: 77:[31, 91, 2296], Operations: ['28*82=2296'] Exploring Operation: 91+2296=2387, Resulting Numbers: [31, 2387] Generated Node #3: [31, 2387] from Operation: 91+2296=2387 Current State: 77:[31, 2387], Operations: ['28*82=2296', '91+2296=2387'] Exploring Operation: 2387/31=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 15, 61, 41 ]
16
[ "19-15=4", "61-41=20", "20-4=16" ]
Current State: 16:[19, 15, 61, 41], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [61, 41, 4] Generated Node #2: [61, 41, 4] from Operation: 19-15=4 Current State: 16:[61, 41, 4], Operations: ['19-15=4'] Exploring Operation: 61-41=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 61-41=20 Current State: 16:[4, 20], Operations: ['19-15=4', '61-41=20'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 55, 55, 82 ]
31
[ "51+55=106", "55+82=137", "137-106=31" ]
Current State: 31:[51, 55, 55, 82], Operations: [] Exploring Operation: 51+55=106, Resulting Numbers: [82, 106] Generated Node #2: [82, 106] from Operation: 51+55=106 Current State: 31:[82, 106], Operations: ['51+55=106'] Exploring Operation: 55+82=137, Resulting Numbers: [106, 137] Generated Node #3: [106, 137] from Operation: 55+82=137 Current State: 31:[106, 137], Operations: ['51+55=106', '55+82=137'] Exploring Operation: 137-106=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 13, 12, 92, 10 ]
59
[ "12-10=2", "92/2=46", "13+46=59" ]
Current State: 59:[13, 12, 92, 10], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [13, 92, 2] Generated Node #2: [13, 92, 2] from Operation: 12-10=2 Current State: 59:[13, 92, 2], Operations: ['12-10=2'] Exploring Operation: 92/2=46, Resulting Numbers: [13, 46] Generated Node #3: [13, 46] from Operation: 92/2=46 Current State: 59:[13, 46], Operations: ['12-10=2', '92/2=46'] Exploring Operation: 13+46=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 2, 12, 18 ]
69
[ "45-12=33", "2*18=36", "33+36=69" ]
Current State: 69:[45, 2, 12, 18], Operations: [] Exploring Operation: 45-12=33, Resulting Numbers: [2, 18, 33] Generated Node #2: [2, 18, 33] from Operation: 45-12=33 Current State: 69:[2, 18, 33], Operations: ['45-12=33'] Exploring Operation: 2*18=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 2*18=36 Current State: 69:[33, 36], Operations: ['45-12=33', '2*18=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 92, 86, 38 ]
64
[ "3*38=114", "92+86=178", "178-114=64" ]
Current State: 64:[3, 92, 86, 38], Operations: [] Exploring Operation: 3*38=114, Resulting Numbers: [92, 86, 114] Generated Node #2: [92, 86, 114] from Operation: 3*38=114 Current State: 64:[92, 86, 114], Operations: ['3*38=114'] Exploring Operation: 92+86=178, Resulting Numbers: [114, 178] Generated Node #3: [114, 178] from Operation: 92+86=178 Current State: 64:[114, 178], Operations: ['3*38=114', '92+86=178'] Exploring Operation: 178-114=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 41, 98, 80 ]
97
[ "80/2=40", "98-41=57", "40+57=97" ]
Current State: 97:[2, 41, 98, 80], Operations: [] Exploring Operation: 80/2=40, Resulting Numbers: [41, 98, 40] Generated Node #2: [41, 98, 40] from Operation: 80/2=40 Current State: 97:[41, 98, 40], Operations: ['80/2=40'] Exploring Operation: 98-41=57, Resulting Numbers: [40, 57] Generated Node #3: [40, 57] from Operation: 98-41=57 Current State: 97:[40, 57], Operations: ['80/2=40', '98-41=57'] Exploring Operation: 40+57=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 89, 31, 98 ]
96
[ "89-27=62", "62/31=2", "98-2=96" ]
Current State: 96:[27, 89, 31, 98], Operations: [] Exploring Operation: 89-27=62, Resulting Numbers: [31, 98, 62] Generated Node #2: [31, 98, 62] from Operation: 89-27=62 Current State: 96:[31, 98, 62], Operations: ['89-27=62'] Exploring Operation: 62/31=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 62/31=2 Current State: 96:[98, 2], Operations: ['89-27=62', '62/31=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 49, 98, 51 ]
14
[ "51-49=2", "56*2=112", "112-98=14" ]
Current State: 14:[56, 49, 98, 51], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [56, 98, 2] Generated Node #2: [56, 98, 2] from Operation: 51-49=2 Current State: 14:[56, 98, 2], Operations: ['51-49=2'] Exploring Operation: 56*2=112, Resulting Numbers: [98, 112] Generated Node #3: [98, 112] from Operation: 56*2=112 Current State: 14:[98, 112], Operations: ['51-49=2', '56*2=112'] Exploring Operation: 112-98=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 29, 8, 75 ]
61
[ "79-75=4", "8*4=32", "29+32=61" ]
Current State: 61:[79, 29, 8, 75], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [29, 8, 4] Generated Node #2: [29, 8, 4] from Operation: 79-75=4 Current State: 61:[29, 8, 4], Operations: ['79-75=4'] Exploring Operation: 8*4=32, Resulting Numbers: [29, 32] Generated Node #3: [29, 32] from Operation: 8*4=32 Current State: 61:[29, 32], Operations: ['79-75=4', '8*4=32'] Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 88, 71, 91, 24 ]
84
[ "88-71=17", "91-24=67", "17+67=84" ]
Current State: 84:[88, 71, 91, 24], Operations: [] Exploring Operation: 88-71=17, Resulting Numbers: [91, 24, 17] Generated Node #2: [91, 24, 17] from Operation: 88-71=17 Current State: 84:[91, 24, 17], Operations: ['88-71=17'] Exploring Operation: 91-24=67, Resulting Numbers: [17, 67] Generated Node #3: [17, 67] from Operation: 91-24=67 Current State: 84:[17, 67], Operations: ['88-71=17', '91-24=67'] Exploring Operation: 17+67=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 95, 28, 29, 45 ]
75
[ "95*45=4275", "28+29=57", "4275/57=75" ]
Current State: 75:[95, 28, 29, 45], Operations: [] Exploring Operation: 95*45=4275, Resulting Numbers: [28, 29, 4275] Generated Node #2: [28, 29, 4275] from Operation: 95*45=4275 Current State: 75:[28, 29, 4275], Operations: ['95*45=4275'] Exploring Operation: 28+29=57, Resulting Numbers: [4275, 57] Generated Node #3: [4275, 57] from Operation: 28+29=57 Current State: 75:[4275, 57], Operations: ['95*45=4275', '28+29=57'] Exploring Operation: 4275/57=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 80, 65, 73 ]
29
[ "73-65=8", "80/8=10", "19+10=29" ]
Current State: 29:[19, 80, 65, 73], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [19, 80, 8] Generated Node #2: [19, 80, 8] from Operation: 73-65=8 Current State: 29:[19, 80, 8], Operations: ['73-65=8'] Exploring Operation: 80/8=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 80/8=10 Current State: 29:[19, 10], Operations: ['73-65=8', '80/8=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 54, 27, 62 ]
64
[ "54/27=2", "62/2=31", "33+31=64" ]
Current State: 64:[33, 54, 27, 62], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [33, 62, 2] Generated Node #2: [33, 62, 2] from Operation: 54/27=2 Current State: 64:[33, 62, 2], Operations: ['54/27=2'] Exploring Operation: 62/2=31, Resulting Numbers: [33, 31] Generated Node #3: [33, 31] from Operation: 62/2=31 Current State: 64:[33, 31], Operations: ['54/27=2', '62/2=31'] Exploring Operation: 33+31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 59, 3, 1, 32 ]
70
[ "1+32=33", "33/3=11", "59+11=70" ]
Current State: 70:[59, 3, 1, 32], Operations: [] Exploring Operation: 1+32=33, Resulting Numbers: [59, 3, 33] Generated Node #2: [59, 3, 33] from Operation: 1+32=33 Current State: 70:[59, 3, 33], Operations: ['1+32=33'] Exploring Operation: 33/3=11, Resulting Numbers: [59, 11] Generated Node #3: [59, 11] from Operation: 33/3=11 Current State: 70:[59, 11], Operations: ['1+32=33', '33/3=11'] Exploring Operation: 59+11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 28, 59, 2, 51 ]
17
[ "28*2=56", "59-56=3", "51/3=17" ]
Current State: 17:[28, 59, 2, 51], Operations: [] Exploring Operation: 28*2=56, Resulting Numbers: [59, 51, 56] Generated Node #2: [59, 51, 56] from Operation: 28*2=56 Current State: 17:[59, 51, 56], Operations: ['28*2=56'] Exploring Operation: 59-56=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 59-56=3 Current State: 17:[51, 3], Operations: ['28*2=56', '59-56=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 79, 11, 7, 4 ]
87
[ "79+11=90", "7-4=3", "90-3=87" ]
Current State: 87:[79, 11, 7, 4], Operations: [] Exploring Operation: 79+11=90, Resulting Numbers: [7, 4, 90] Generated Node #2: [7, 4, 90] from Operation: 79+11=90 Current State: 87:[7, 4, 90], Operations: ['79+11=90'] Exploring Operation: 7-4=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 7-4=3 Current State: 87:[90, 3], Operations: ['79+11=90', '7-4=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 29, 82, 37 ]
57
[ "29+82=111", "111/37=3", "60-3=57" ]
Current State: 57:[60, 29, 82, 37], Operations: [] Exploring Operation: 29+82=111, Resulting Numbers: [60, 37, 111] Generated Node #2: [60, 37, 111] from Operation: 29+82=111 Current State: 57:[60, 37, 111], Operations: ['29+82=111'] Exploring Operation: 111/37=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 111/37=3 Current State: 57:[60, 3], Operations: ['29+82=111', '111/37=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 25, 38, 10, 93 ]
70
[ "38-25=13", "93-10=83", "83-13=70" ]
Current State: 70:[25, 38, 10, 93], Operations: [] Exploring Operation: 38-25=13, Resulting Numbers: [10, 93, 13] Generated Node #2: [10, 93, 13] from Operation: 38-25=13 Current State: 70:[10, 93, 13], Operations: ['38-25=13'] Exploring Operation: 93-10=83, Resulting Numbers: [13, 83] Generated Node #3: [13, 83] from Operation: 93-10=83 Current State: 70:[13, 83], Operations: ['38-25=13', '93-10=83'] Exploring Operation: 83-13=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 70, 29, 58 ]
55
[ "70-44=26", "58-29=29", "26+29=55" ]
Current State: 55:[44, 70, 29, 58], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [29, 58, 26] Generated Node #2: [29, 58, 26] from Operation: 70-44=26 Current State: 55:[29, 58, 26], Operations: ['70-44=26'] Exploring Operation: 58-29=29, Resulting Numbers: [26, 29] Generated Node #3: [26, 29] from Operation: 58-29=29 Current State: 55:[26, 29], Operations: ['70-44=26', '58-29=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 2, 84, 48 ]
70
[ "84-40=44", "44/2=22", "48+22=70" ]
Current State: 70:[40, 2, 84, 48], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [2, 48, 44] Generated Node #2: [2, 48, 44] from Operation: 84-40=44 Current State: 70:[2, 48, 44], Operations: ['84-40=44'] Exploring Operation: 44/2=22, Resulting Numbers: [48, 22] Generated Node #3: [48, 22] from Operation: 44/2=22 Current State: 70:[48, 22], Operations: ['84-40=44', '44/2=22'] Exploring Operation: 48+22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 48, 52, 62 ]
15
[ "62-2=60", "52-48=4", "60/4=15" ]
Current State: 15:[2, 48, 52, 62], Operations: [] Exploring Operation: 62-2=60, Resulting Numbers: [48, 52, 60] Generated Node #2: [48, 52, 60] from Operation: 62-2=60 Current State: 15:[48, 52, 60], Operations: ['62-2=60'] Exploring Operation: 52-48=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 52-48=4 Current State: 15:[60, 4], Operations: ['62-2=60', '52-48=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 90, 47, 67, 10 ]
60
[ "90+47=137", "67+10=77", "137-77=60" ]
Current State: 60:[90, 47, 67, 10], Operations: [] Exploring Operation: 90+47=137, Resulting Numbers: [67, 10, 137] Generated Node #2: [67, 10, 137] from Operation: 90+47=137 Current State: 60:[67, 10, 137], Operations: ['90+47=137'] Exploring Operation: 67+10=77, Resulting Numbers: [137, 77] Generated Node #3: [137, 77] from Operation: 67+10=77 Current State: 60:[137, 77], Operations: ['90+47=137', '67+10=77'] Exploring Operation: 137-77=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 61, 2, 77 ]
38
[ "61-20=41", "2+77=79", "79-41=38" ]
Current State: 38:[20, 61, 2, 77], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [2, 77, 41] Generated Node #2: [2, 77, 41] from Operation: 61-20=41 Current State: 38:[2, 77, 41], Operations: ['61-20=41'] Exploring Operation: 2+77=79, Resulting Numbers: [41, 79] Generated Node #3: [41, 79] from Operation: 2+77=79 Current State: 38:[41, 79], Operations: ['61-20=41', '2+77=79'] Exploring Operation: 79-41=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 64, 76, 92 ]
93
[ "12+64=76", "76/76=1", "92+1=93" ]
Current State: 93:[12, 64, 76, 92], Operations: [] Exploring Operation: 12+64=76, Resulting Numbers: [76, 92, 76] Generated Node #2: [76, 92, 76] from Operation: 12+64=76 Current State: 93:[76, 92, 76], Operations: ['12+64=76'] Exploring Operation: 76/76=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 76/76=1 Current State: 93:[92, 1], Operations: ['12+64=76', '76/76=1'] Exploring Operation: 92+1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 29, 2, 47, 78 ]
69
[ "47-29=18", "18/2=9", "78-9=69" ]
Current State: 69:[29, 2, 47, 78], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [2, 78, 18] Generated Node #2: [2, 78, 18] from Operation: 47-29=18 Current State: 69:[2, 78, 18], Operations: ['47-29=18'] Exploring Operation: 18/2=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 18/2=9 Current State: 69:[78, 9], Operations: ['47-29=18', '18/2=9'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 97, 43, 77 ]
47
[ "97-77=20", "20/5=4", "43+4=47" ]
Current State: 47:[5, 97, 43, 77], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [5, 43, 20] Generated Node #2: [5, 43, 20] from Operation: 97-77=20 Current State: 47:[5, 43, 20], Operations: ['97-77=20'] Exploring Operation: 20/5=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 20/5=4 Current State: 47:[43, 4], Operations: ['97-77=20', '20/5=4'] Exploring Operation: 43+4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 65, 14, 2, 76 ]
26
[ "65-14=51", "2*51=102", "102-76=26" ]
Current State: 26:[65, 14, 2, 76], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [2, 76, 51] Generated Node #2: [2, 76, 51] from Operation: 65-14=51 Current State: 26:[2, 76, 51], Operations: ['65-14=51'] Exploring Operation: 2*51=102, Resulting Numbers: [76, 102] Generated Node #3: [76, 102] from Operation: 2*51=102 Current State: 26:[76, 102], Operations: ['65-14=51', '2*51=102'] Exploring Operation: 102-76=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 67, 6, 72, 66 ]
79
[ "67+6=73", "72-66=6", "73+6=79" ]
Current State: 79:[67, 6, 72, 66], Operations: [] Exploring Operation: 67+6=73, Resulting Numbers: [72, 66, 73] Generated Node #2: [72, 66, 73] from Operation: 67+6=73 Current State: 79:[72, 66, 73], Operations: ['67+6=73'] Exploring Operation: 72-66=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 72-66=6 Current State: 79:[73, 6], Operations: ['67+6=73', '72-66=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 83, 67, 68, 45 ]
97
[ "83-67=16", "68+45=113", "113-16=97" ]
Current State: 97:[83, 67, 68, 45], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [68, 45, 16] Generated Node #2: [68, 45, 16] from Operation: 83-67=16 Current State: 97:[68, 45, 16], Operations: ['83-67=16'] Exploring Operation: 68+45=113, Resulting Numbers: [16, 113] Generated Node #3: [16, 113] from Operation: 68+45=113 Current State: 97:[16, 113], Operations: ['83-67=16', '68+45=113'] Exploring Operation: 113-16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 2, 68, 37 ]
81
[ "68-46=22", "2*22=44", "37+44=81" ]
Current State: 81:[46, 2, 68, 37], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [2, 37, 22] Generated Node #2: [2, 37, 22] from Operation: 68-46=22 Current State: 81:[2, 37, 22], Operations: ['68-46=22'] Exploring Operation: 2*22=44, Resulting Numbers: [37, 44] Generated Node #3: [37, 44] from Operation: 2*22=44 Current State: 81:[37, 44], Operations: ['68-46=22', '2*22=44'] Exploring Operation: 37+44=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 44, 53, 19 ]
49
[ "19-8=11", "44/11=4", "53-4=49" ]
Current State: 49:[8, 44, 53, 19], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [44, 53, 11] Generated Node #2: [44, 53, 11] from Operation: 19-8=11 Current State: 49:[44, 53, 11], Operations: ['19-8=11'] Exploring Operation: 44/11=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 44/11=4 Current State: 49:[53, 4], Operations: ['19-8=11', '44/11=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 30, 1, 57 ]
40
[ "30-12=18", "1+57=58", "58-18=40" ]
Current State: 40:[12, 30, 1, 57], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [1, 57, 18] Generated Node #2: [1, 57, 18] from Operation: 30-12=18 Current State: 40:[1, 57, 18], Operations: ['30-12=18'] Exploring Operation: 1+57=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 1+57=58 Current State: 40:[18, 58], Operations: ['30-12=18', '1+57=58'] Exploring Operation: 58-18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 88, 29, 37, 8 ]
88
[ "88+29=117", "37-8=29", "117-29=88" ]
Current State: 88:[88, 29, 37, 8], Operations: [] Exploring Operation: 88+29=117, Resulting Numbers: [37, 8, 117] Generated Node #2: [37, 8, 117] from Operation: 88+29=117 Current State: 88:[37, 8, 117], Operations: ['88+29=117'] Exploring Operation: 37-8=29, Resulting Numbers: [117, 29] Generated Node #3: [117, 29] from Operation: 37-8=29 Current State: 88:[117, 29], Operations: ['88+29=117', '37-8=29'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 9, 67, 50 ]
65
[ "16+9=25", "50/25=2", "67-2=65" ]
Current State: 65:[16, 9, 67, 50], Operations: [] Exploring Operation: 16+9=25, Resulting Numbers: [67, 50, 25] Generated Node #2: [67, 50, 25] from Operation: 16+9=25 Current State: 65:[67, 50, 25], Operations: ['16+9=25'] Exploring Operation: 50/25=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 50/25=2 Current State: 65:[67, 2], Operations: ['16+9=25', '50/25=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 61, 46, 21, 51 ]
45
[ "61-46=15", "51-21=30", "15+30=45" ]
Current State: 45:[61, 46, 21, 51], Operations: [] Exploring Operation: 61-46=15, Resulting Numbers: [21, 51, 15] Generated Node #2: [21, 51, 15] from Operation: 61-46=15 Current State: 45:[21, 51, 15], Operations: ['61-46=15'] Exploring Operation: 51-21=30, Resulting Numbers: [15, 30] Generated Node #3: [15, 30] from Operation: 51-21=30 Current State: 45:[15, 30], Operations: ['61-46=15', '51-21=30'] Exploring Operation: 15+30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 28, 9, 23 ]
46
[ "28-17=11", "11-9=2", "23*2=46" ]
Current State: 46:[17, 28, 9, 23], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [9, 23, 11] Generated Node #2: [9, 23, 11] from Operation: 28-17=11 Current State: 46:[9, 23, 11], Operations: ['28-17=11'] Exploring Operation: 11-9=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 11-9=2 Current State: 46:[23, 2], Operations: ['28-17=11', '11-9=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 56, 90, 97 ]
12
[ "97-90=7", "56/7=8", "20-8=12" ]
Current State: 12:[20, 56, 90, 97], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [20, 56, 7] Generated Node #2: [20, 56, 7] from Operation: 97-90=7 Current State: 12:[20, 56, 7], Operations: ['97-90=7'] Exploring Operation: 56/7=8, Resulting Numbers: [20, 8] Generated Node #3: [20, 8] from Operation: 56/7=8 Current State: 12:[20, 8], Operations: ['97-90=7', '56/7=8'] Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 9, 72, 1, 94 ]
86
[ "72/9=8", "1*94=94", "94-8=86" ]
Current State: 86:[9, 72, 1, 94], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [1, 94, 8] Generated Node #2: [1, 94, 8] from Operation: 72/9=8 Current State: 86:[1, 94, 8], Operations: ['72/9=8'] Exploring Operation: 1*94=94, Resulting Numbers: [8, 94] Generated Node #3: [8, 94] from Operation: 1*94=94 Current State: 86:[8, 94], Operations: ['72/9=8', '1*94=94'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 82, 83, 24, 70 ]
93
[ "83-82=1", "24+70=94", "94-1=93" ]
Current State: 93:[82, 83, 24, 70], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [24, 70, 1] Generated Node #2: [24, 70, 1] from Operation: 83-82=1 Current State: 93:[24, 70, 1], Operations: ['83-82=1'] Exploring Operation: 24+70=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 24+70=94 Current State: 93:[1, 94], Operations: ['83-82=1', '24+70=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 4, 51, 34 ]
39
[ "88/4=22", "51-34=17", "22+17=39" ]
Current State: 39:[88, 4, 51, 34], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [51, 34, 22] Generated Node #2: [51, 34, 22] from Operation: 88/4=22 Current State: 39:[51, 34, 22], Operations: ['88/4=22'] Exploring Operation: 51-34=17, Resulting Numbers: [22, 17] Generated Node #3: [22, 17] from Operation: 51-34=17 Current State: 39:[22, 17], Operations: ['88/4=22', '51-34=17'] Exploring Operation: 22+17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 29, 1, 36, 16 ]
49
[ "29*1=29", "36-16=20", "29+20=49" ]
Current State: 49:[29, 1, 36, 16], Operations: [] Exploring Operation: 29*1=29, Resulting Numbers: [36, 16, 29] Generated Node #2: [36, 16, 29] from Operation: 29*1=29 Current State: 49:[36, 16, 29], Operations: ['29*1=29'] Exploring Operation: 36-16=20, Resulting Numbers: [29, 20] Generated Node #3: [29, 20] from Operation: 36-16=20 Current State: 49:[29, 20], Operations: ['29*1=29', '36-16=20'] Exploring Operation: 29+20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 43, 69, 66, 44 ]
41
[ "66-43=23", "69/23=3", "44-3=41" ]
Current State: 41:[43, 69, 66, 44], Operations: [] Exploring Operation: 66-43=23, Resulting Numbers: [69, 44, 23] Generated Node #2: [69, 44, 23] from Operation: 66-43=23 Current State: 41:[69, 44, 23], Operations: ['66-43=23'] Exploring Operation: 69/23=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 69/23=3 Current State: 41:[44, 3], Operations: ['66-43=23', '69/23=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 49, 30, 40, 80 ]
59
[ "49-30=19", "80-40=40", "19+40=59" ]
Current State: 59:[49, 30, 40, 80], Operations: [] Exploring Operation: 49-30=19, Resulting Numbers: [40, 80, 19] Generated Node #2: [40, 80, 19] from Operation: 49-30=19 Current State: 59:[40, 80, 19], Operations: ['49-30=19'] Exploring Operation: 80-40=40, Resulting Numbers: [19, 40] Generated Node #3: [19, 40] from Operation: 80-40=40 Current State: 59:[19, 40], Operations: ['49-30=19', '80-40=40'] Exploring Operation: 19+40=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 93, 57, 9 ]
26
[ "3*93=279", "279/9=31", "57-31=26" ]
Current State: 26:[3, 93, 57, 9], Operations: [] Exploring Operation: 3*93=279, Resulting Numbers: [57, 9, 279] Generated Node #2: [57, 9, 279] from Operation: 3*93=279 Current State: 26:[57, 9, 279], Operations: ['3*93=279'] Exploring Operation: 279/9=31, Resulting Numbers: [57, 31] Generated Node #3: [57, 31] from Operation: 279/9=31 Current State: 26:[57, 31], Operations: ['3*93=279', '279/9=31'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 29, 72, 40, 29 ]
87
[ "72-29=43", "43-40=3", "29*3=87" ]
Current State: 87:[29, 72, 40, 29], Operations: [] Exploring Operation: 72-29=43, Resulting Numbers: [40, 43] Generated Node #2: [40, 43] from Operation: 72-29=43 Current State: 87:[40, 43], Operations: ['72-29=43'] Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,87 equal: Goal Reached Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 8, 45, 3 ]
70
[ "63-8=55", "45/3=15", "55+15=70" ]
Current State: 70:[63, 8, 45, 3], Operations: [] Exploring Operation: 63-8=55, Resulting Numbers: [45, 3, 55] Generated Node #2: [45, 3, 55] from Operation: 63-8=55 Current State: 70:[45, 3, 55], Operations: ['63-8=55'] Exploring Operation: 45/3=15, Resulting Numbers: [55, 15] Generated Node #3: [55, 15] from Operation: 45/3=15 Current State: 70:[55, 15], Operations: ['63-8=55', '45/3=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 99, 91, 64, 75 ]
88
[ "99-91=8", "75-64=11", "8*11=88" ]
Current State: 88:[99, 91, 64, 75], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [64, 75, 8] Generated Node #2: [64, 75, 8] from Operation: 99-91=8 Current State: 88:[64, 75, 8], Operations: ['99-91=8'] Exploring Operation: 75-64=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 75-64=11 Current State: 88:[8, 11], Operations: ['99-91=8', '75-64=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 31, 34, 25 ]
68
[ "81-31=50", "34*50=1700", "1700/25=68" ]
Current State: 68:[81, 31, 34, 25], Operations: [] Exploring Operation: 81-31=50, Resulting Numbers: [34, 25, 50] Generated Node #2: [34, 25, 50] from Operation: 81-31=50 Current State: 68:[34, 25, 50], Operations: ['81-31=50'] Exploring Operation: 34*50=1700, Resulting Numbers: [25, 1700] Generated Node #3: [25, 1700] from Operation: 34*50=1700 Current State: 68:[25, 1700], Operations: ['81-31=50', '34*50=1700'] Exploring Operation: 1700/25=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 67, 22, 27, 18 ]
80
[ "67+22=89", "27-18=9", "89-9=80" ]
Current State: 80:[67, 22, 27, 18], Operations: [] Exploring Operation: 67+22=89, Resulting Numbers: [27, 18, 89] Generated Node #2: [27, 18, 89] from Operation: 67+22=89 Current State: 80:[27, 18, 89], Operations: ['67+22=89'] Exploring Operation: 27-18=9, Resulting Numbers: [89, 9] Generated Node #3: [89, 9] from Operation: 27-18=9 Current State: 80:[89, 9], Operations: ['67+22=89', '27-18=9'] Exploring Operation: 89-9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 68, 85, 41 ]
57
[ "1+68=69", "85+41=126", "126-69=57" ]
Current State: 57:[1, 68, 85, 41], Operations: [] Exploring Operation: 1+68=69, Resulting Numbers: [85, 41, 69] Generated Node #2: [85, 41, 69] from Operation: 1+68=69 Current State: 57:[85, 41, 69], Operations: ['1+68=69'] Exploring Operation: 85+41=126, Resulting Numbers: [69, 126] Generated Node #3: [69, 126] from Operation: 85+41=126 Current State: 57:[69, 126], Operations: ['1+68=69', '85+41=126'] Exploring Operation: 126-69=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 13, 86, 92, 10 ]
68
[ "92-86=6", "13*6=78", "78-10=68" ]
Current State: 68:[13, 86, 92, 10], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [13, 10, 6] Generated Node #2: [13, 10, 6] from Operation: 92-86=6 Current State: 68:[13, 10, 6], Operations: ['92-86=6'] Exploring Operation: 13*6=78, Resulting Numbers: [10, 78] Generated Node #3: [10, 78] from Operation: 13*6=78 Current State: 68:[10, 78], Operations: ['92-86=6', '13*6=78'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 57, 93, 10 ]
35
[ "57+93=150", "150-10=140", "140/4=35" ]
Current State: 35:[4, 57, 93, 10], Operations: [] Exploring Operation: 57+93=150, Resulting Numbers: [4, 10, 150] Generated Node #2: [4, 10, 150] from Operation: 57+93=150 Current State: 35:[4, 10, 150], Operations: ['57+93=150'] Exploring Operation: 150-10=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 150-10=140 Current State: 35:[4, 140], Operations: ['57+93=150', '150-10=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 64, 26, 56 ]
77
[ "64-59=5", "26+56=82", "82-5=77" ]
Current State: 77:[59, 64, 26, 56], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [26, 56, 5] Generated Node #2: [26, 56, 5] from Operation: 64-59=5 Current State: 77:[26, 56, 5], Operations: ['64-59=5'] Exploring Operation: 26+56=82, Resulting Numbers: [5, 82] Generated Node #3: [5, 82] from Operation: 26+56=82 Current State: 77:[5, 82], Operations: ['64-59=5', '26+56=82'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 93, 17, 95 ]
69
[ "93-50=43", "17+95=112", "112-43=69" ]
Current State: 69:[50, 93, 17, 95], Operations: [] Exploring Operation: 93-50=43, Resulting Numbers: [17, 95, 43] Generated Node #2: [17, 95, 43] from Operation: 93-50=43 Current State: 69:[17, 95, 43], Operations: ['93-50=43'] Exploring Operation: 17+95=112, Resulting Numbers: [43, 112] Generated Node #3: [43, 112] from Operation: 17+95=112 Current State: 69:[43, 112], Operations: ['93-50=43', '17+95=112'] Exploring Operation: 112-43=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 50, 8, 48 ]
66
[ "50-24=26", "48-8=40", "26+40=66" ]
Current State: 66:[24, 50, 8, 48], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [8, 48, 26] Generated Node #2: [8, 48, 26] from Operation: 50-24=26 Current State: 66:[8, 48, 26], Operations: ['50-24=26'] Exploring Operation: 48-8=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 48-8=40 Current State: 66:[26, 40], Operations: ['50-24=26', '48-8=40'] Exploring Operation: 26+40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 3, 20, 59, 97 ]
84
[ "59-20=39", "39/3=13", "97-13=84" ]
Current State: 84:[3, 20, 59, 97], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [3, 97, 39] Generated Node #2: [3, 97, 39] from Operation: 59-20=39 Current State: 84:[3, 97, 39], Operations: ['59-20=39'] Exploring Operation: 39/3=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 39/3=13 Current State: 84:[97, 13], Operations: ['59-20=39', '39/3=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 49, 6, 85, 60 ]
80
[ "49+6=55", "85-60=25", "55+25=80" ]
Current State: 80:[49, 6, 85, 60], Operations: [] Exploring Operation: 49+6=55, Resulting Numbers: [85, 60, 55] Generated Node #2: [85, 60, 55] from Operation: 49+6=55 Current State: 80:[85, 60, 55], Operations: ['49+6=55'] Exploring Operation: 85-60=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 85-60=25 Current State: 80:[55, 25], Operations: ['49+6=55', '85-60=25'] Exploring Operation: 55+25=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 90, 21, 73 ]
42
[ "90/9=10", "73-21=52", "52-10=42" ]
Current State: 42:[9, 90, 21, 73], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [21, 73, 10] Generated Node #2: [21, 73, 10] from Operation: 90/9=10 Current State: 42:[21, 73, 10], Operations: ['90/9=10'] Exploring Operation: 73-21=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 73-21=52 Current State: 42:[10, 52], Operations: ['90/9=10', '73-21=52'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 35, 47, 85 ]
78
[ "35+47=82", "85-82=3", "26*3=78" ]
Current State: 78:[26, 35, 47, 85], Operations: [] Exploring Operation: 35+47=82, Resulting Numbers: [26, 85, 82] Generated Node #2: [26, 85, 82] from Operation: 35+47=82 Current State: 78:[26, 85, 82], Operations: ['35+47=82'] Exploring Operation: 85-82=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 85-82=3 Current State: 78:[26, 3], Operations: ['35+47=82', '85-82=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 59, 26, 97 ]
62
[ "68-59=9", "97-26=71", "71-9=62" ]
Current State: 62:[68, 59, 26, 97], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [26, 97, 9] Generated Node #2: [26, 97, 9] from Operation: 68-59=9 Current State: 62:[26, 97, 9], Operations: ['68-59=9'] Exploring Operation: 97-26=71, Resulting Numbers: [9, 71] Generated Node #3: [9, 71] from Operation: 97-26=71 Current State: 62:[9, 71], Operations: ['68-59=9', '97-26=71'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 29, 84, 82 ]
33
[ "84-82=2", "31*2=62", "62-29=33" ]
Current State: 33:[31, 29, 84, 82], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [31, 29, 2] Generated Node #2: [31, 29, 2] from Operation: 84-82=2 Current State: 33:[31, 29, 2], Operations: ['84-82=2'] Exploring Operation: 31*2=62, Resulting Numbers: [29, 62] Generated Node #3: [29, 62] from Operation: 31*2=62 Current State: 33:[29, 62], Operations: ['84-82=2', '31*2=62'] Exploring Operation: 62-29=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 41, 22, 39, 21 ]
78
[ "41-22=19", "21-19=2", "39*2=78" ]
Current State: 78:[41, 22, 39, 21], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [39, 21, 19] Generated Node #2: [39, 21, 19] from Operation: 41-22=19 Current State: 78:[39, 21, 19], Operations: ['41-22=19'] Exploring Operation: 21-19=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 21-19=2 Current State: 78:[39, 2], Operations: ['41-22=19', '21-19=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 98, 75, 95, 7 ]
66
[ "98-75=23", "7*23=161", "161-95=66" ]
Current State: 66:[98, 75, 95, 7], Operations: [] Exploring Operation: 98-75=23, Resulting Numbers: [95, 7, 23] Generated Node #2: [95, 7, 23] from Operation: 98-75=23 Current State: 66:[95, 7, 23], Operations: ['98-75=23'] Exploring Operation: 7*23=161, Resulting Numbers: [95, 161] Generated Node #3: [95, 161] from Operation: 7*23=161 Current State: 66:[95, 161], Operations: ['98-75=23', '7*23=161'] Exploring Operation: 161-95=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 88, 65, 14, 98 ]
61
[ "88-65=23", "98-14=84", "84-23=61" ]
Current State: 61:[88, 65, 14, 98], Operations: [] Exploring Operation: 88-65=23, Resulting Numbers: [14, 98, 23] Generated Node #2: [14, 98, 23] from Operation: 88-65=23 Current State: 61:[14, 98, 23], Operations: ['88-65=23'] Exploring Operation: 98-14=84, Resulting Numbers: [23, 84] Generated Node #3: [23, 84] from Operation: 98-14=84 Current State: 61:[23, 84], Operations: ['88-65=23', '98-14=84'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 10, 90, 85 ]
44
[ "85-50=35", "90/10=9", "35+9=44" ]
Current State: 44:[50, 10, 90, 85], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [10, 90, 35] Generated Node #2: [10, 90, 35] from Operation: 85-50=35 Current State: 44:[10, 90, 35], Operations: ['85-50=35'] Exploring Operation: 90/10=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 90/10=9 Current State: 44:[35, 9], Operations: ['85-50=35', '90/10=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 98, 8, 26, 2 ]
95
[ "26-2=24", "24/8=3", "98-3=95" ]
Current State: 95:[98, 8, 26, 2], Operations: [] Exploring Operation: 26-2=24, Resulting Numbers: [98, 8, 24] Generated Node #2: [98, 8, 24] from Operation: 26-2=24 Current State: 95:[98, 8, 24], Operations: ['26-2=24'] Exploring Operation: 24/8=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 24/8=3 Current State: 95:[98, 3], Operations: ['26-2=24', '24/8=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 4, 80, 50, 74 ]
75
[ "80-74=6", "50*6=300", "300/4=75" ]
Current State: 75:[4, 80, 50, 74], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [4, 50, 6] Generated Node #2: [4, 50, 6] from Operation: 80-74=6 Current State: 75:[4, 50, 6], Operations: ['80-74=6'] Exploring Operation: 50*6=300, Resulting Numbers: [4, 300] Generated Node #3: [4, 300] from Operation: 50*6=300 Current State: 75:[4, 300], Operations: ['80-74=6', '50*6=300'] Exploring Operation: 300/4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 83, 87, 44, 23 ]
17
[ "87-83=4", "44-23=21", "21-4=17" ]
Current State: 17:[83, 87, 44, 23], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [44, 23, 4] Generated Node #2: [44, 23, 4] from Operation: 87-83=4 Current State: 17:[44, 23, 4], Operations: ['87-83=4'] Exploring Operation: 44-23=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 44-23=21 Current State: 17:[4, 21], Operations: ['87-83=4', '44-23=21'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 87, 32, 82, 79 ]
78
[ "87-79=8", "32/8=4", "82-4=78" ]
Current State: 78:[87, 32, 82, 79], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [32, 82, 8] Generated Node #2: [32, 82, 8] from Operation: 87-79=8 Current State: 78:[32, 82, 8], Operations: ['87-79=8'] Exploring Operation: 32/8=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 32/8=4 Current State: 78:[82, 4], Operations: ['87-79=8', '32/8=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4