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
[ 30, 15, 6, 43 ]
52
[ "30-15=15", "43-6=37", "15+37=52" ]
Current State: 52:[30, 15, 6, 43], Operations: [] Exploring Operation: 30-15=15, Resulting Numbers: [6, 43, 15] Generated Node #2: [6, 43, 15] from Operation: 30-15=15 Current State: 52:[6, 43, 15], Operations: ['30-15=15'] Exploring Operation: 43-6=37, Resulting Numbers: [15, 37] Generated Node #3: [15, 37] from Operation: 43-6=37 Current State: 52:[15, 37], Operations: ['30-15=15', '43-6=37'] Exploring Operation: 15+37=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 55, 17, 5, 91 ]
24
[ "55+17=72", "5+91=96", "96-72=24" ]
Current State: 24:[55, 17, 5, 91], Operations: [] Exploring Operation: 55+17=72, Resulting Numbers: [5, 91, 72] Generated Node #2: [5, 91, 72] from Operation: 55+17=72 Current State: 24:[5, 91, 72], Operations: ['55+17=72'] Exploring Operation: 5+91=96, Resulting Numbers: [72, 96] Generated Node #3: [72, 96] from Operation: 5+91=96 Current State: 24:[72, 96], Operations: ['55+17=72', '5+91=96'] Exploring Operation: 96-72=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 59, 2, 94 ]
67
[ "62+59=121", "2*94=188", "188-121=67" ]
Current State: 67:[62, 59, 2, 94], Operations: [] Exploring Operation: 62+59=121, Resulting Numbers: [2, 94, 121] Generated Node #2: [2, 94, 121] from Operation: 62+59=121 Current State: 67:[2, 94, 121], Operations: ['62+59=121'] Exploring Operation: 2*94=188, Resulting Numbers: [121, 188] Generated Node #3: [121, 188] from Operation: 2*94=188 Current State: 67:[121, 188], Operations: ['62+59=121', '2*94=188'] Exploring Operation: 188-121=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 9, 5, 30 ]
54
[ "31+5=36", "36-30=6", "9*6=54" ]
Current State: 54:[31, 9, 5, 30], Operations: [] Exploring Operation: 31+5=36, Resulting Numbers: [9, 30, 36] Generated Node #2: [9, 30, 36] from Operation: 31+5=36 Current State: 54:[9, 30, 36], Operations: ['31+5=36'] Exploring Operation: 36-30=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 36-30=6 Current State: 54:[9, 6], Operations: ['31+5=36', '36-30=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 42, 71, 16 ]
97
[ "64*42=2688", "2688/16=168", "168-71=97" ]
Current State: 97:[64, 42, 71, 16], Operations: [] Exploring Operation: 64*42=2688, Resulting Numbers: [71, 16, 2688] Generated Node #2: [71, 16, 2688] from Operation: 64*42=2688 Current State: 97:[71, 16, 2688], Operations: ['64*42=2688'] Exploring Operation: 2688/16=168, Resulting Numbers: [71, 168] Generated Node #3: [71, 168] from Operation: 2688/16=168 Current State: 97:[71, 168], Operations: ['64*42=2688', '2688/16=168'] Exploring Operation: 168-71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 74, 12, 33, 51 ]
81
[ "33+51=84", "84/12=7", "74+7=81" ]
Current State: 81:[74, 12, 33, 51], Operations: [] Exploring Operation: 33+51=84, Resulting Numbers: [74, 12, 84] Generated Node #2: [74, 12, 84] from Operation: 33+51=84 Current State: 81:[74, 12, 84], Operations: ['33+51=84'] Exploring Operation: 84/12=7, Resulting Numbers: [74, 7] Generated Node #3: [74, 7] from Operation: 84/12=7 Current State: 81:[74, 7], Operations: ['33+51=84', '84/12=7'] Exploring Operation: 74+7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 10, 72, 13 ]
90
[ "41-10=31", "72-13=59", "31+59=90" ]
Current State: 90:[41, 10, 72, 13], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [72, 13, 31] Generated Node #2: [72, 13, 31] from Operation: 41-10=31 Current State: 90:[72, 13, 31], Operations: ['41-10=31'] Exploring Operation: 72-13=59, Resulting Numbers: [31, 59] Generated Node #3: [31, 59] from Operation: 72-13=59 Current State: 90:[31, 59], Operations: ['41-10=31', '72-13=59'] Exploring Operation: 31+59=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 80, 73, 79 ]
89
[ "80-73=7", "24*7=168", "168-79=89" ]
Current State: 89:[24, 80, 73, 79], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [24, 79, 7] Generated Node #2: [24, 79, 7] from Operation: 80-73=7 Current State: 89:[24, 79, 7], Operations: ['80-73=7'] Exploring Operation: 24*7=168, Resulting Numbers: [79, 168] Generated Node #3: [79, 168] from Operation: 24*7=168 Current State: 89:[79, 168], Operations: ['80-73=7', '24*7=168'] Exploring Operation: 168-79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 27, 63, 21, 55 ]
40
[ "63-27=36", "21+55=76", "76-36=40" ]
Current State: 40:[27, 63, 21, 55], Operations: [] Exploring Operation: 63-27=36, Resulting Numbers: [21, 55, 36] Generated Node #2: [21, 55, 36] from Operation: 63-27=36 Current State: 40:[21, 55, 36], Operations: ['63-27=36'] Exploring Operation: 21+55=76, Resulting Numbers: [36, 76] Generated Node #3: [36, 76] from Operation: 21+55=76 Current State: 40:[36, 76], Operations: ['63-27=36', '21+55=76'] Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 77, 18, 11, 29 ]
78
[ "18+11=29", "29/29=1", "77+1=78" ]
Current State: 78:[77, 18, 11, 29], Operations: [] Exploring Operation: 18+11=29, Resulting Numbers: [77, 29, 29] Generated Node #2: [77, 29, 29] from Operation: 18+11=29 Current State: 78:[77, 29, 29], Operations: ['18+11=29'] Exploring Operation: 29/29=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 29/29=1 Current State: 78:[77, 1], Operations: ['18+11=29', '29/29=1'] Exploring Operation: 77+1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 12, 43, 44 ]
53
[ "44-12=32", "3*32=96", "96-43=53" ]
Current State: 53:[3, 12, 43, 44], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [3, 43, 32] Generated Node #2: [3, 43, 32] from Operation: 44-12=32 Current State: 53:[3, 43, 32], Operations: ['44-12=32'] Exploring Operation: 3*32=96, Resulting Numbers: [43, 96] Generated Node #3: [43, 96] from Operation: 3*32=96 Current State: 53:[43, 96], Operations: ['44-12=32', '3*32=96'] Exploring Operation: 96-43=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 23, 2, 64 ]
12
[ "51+23=74", "64-2=62", "74-62=12" ]
Current State: 12:[51, 23, 2, 64], Operations: [] Exploring Operation: 51+23=74, Resulting Numbers: [2, 64, 74] Generated Node #2: [2, 64, 74] from Operation: 51+23=74 Current State: 12:[2, 64, 74], Operations: ['51+23=74'] Exploring Operation: 64-2=62, Resulting Numbers: [74, 62] Generated Node #3: [74, 62] from Operation: 64-2=62 Current State: 12:[74, 62], Operations: ['51+23=74', '64-2=62'] Exploring Operation: 74-62=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 54, 9, 38 ]
32
[ "54/18=3", "38-9=29", "3+29=32" ]
Current State: 32:[18, 54, 9, 38], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [9, 38, 3] Generated Node #2: [9, 38, 3] from Operation: 54/18=3 Current State: 32:[9, 38, 3], Operations: ['54/18=3'] Exploring Operation: 38-9=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 38-9=29 Current State: 32:[3, 29], Operations: ['54/18=3', '38-9=29'] Exploring Operation: 3+29=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 44, 20, 47, 17 ]
34
[ "44+20=64", "47-17=30", "64-30=34" ]
Current State: 34:[44, 20, 47, 17], Operations: [] Exploring Operation: 44+20=64, Resulting Numbers: [47, 17, 64] Generated Node #2: [47, 17, 64] from Operation: 44+20=64 Current State: 34:[47, 17, 64], Operations: ['44+20=64'] Exploring Operation: 47-17=30, Resulting Numbers: [64, 30] Generated Node #3: [64, 30] from Operation: 47-17=30 Current State: 34:[64, 30], Operations: ['44+20=64', '47-17=30'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 32, 38, 34, 31 ]
24
[ "34-32=2", "31*2=62", "62-38=24" ]
Current State: 24:[32, 38, 34, 31], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [38, 31, 2] Generated Node #2: [38, 31, 2] from Operation: 34-32=2 Current State: 24:[38, 31, 2], Operations: ['34-32=2'] Exploring Operation: 31*2=62, Resulting Numbers: [38, 62] Generated Node #3: [38, 62] from Operation: 31*2=62 Current State: 24:[38, 62], Operations: ['34-32=2', '31*2=62'] Exploring Operation: 62-38=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 67, 2, 10 ]
92
[ "13+67=80", "2+10=12", "80+12=92" ]
Current State: 92:[13, 67, 2, 10], Operations: [] Exploring Operation: 13+67=80, Resulting Numbers: [2, 10, 80] Generated Node #2: [2, 10, 80] from Operation: 13+67=80 Current State: 92:[2, 10, 80], Operations: ['13+67=80'] Exploring Operation: 2+10=12, Resulting Numbers: [80, 12] Generated Node #3: [80, 12] from Operation: 2+10=12 Current State: 92:[80, 12], Operations: ['13+67=80', '2+10=12'] Exploring Operation: 80+12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 41, 86, 71, 15 ]
11
[ "86-41=45", "71-15=56", "56-45=11" ]
Current State: 11:[41, 86, 71, 15], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [71, 15, 45] Generated Node #2: [71, 15, 45] from Operation: 86-41=45 Current State: 11:[71, 15, 45], Operations: ['86-41=45'] Exploring Operation: 71-15=56, Resulting Numbers: [45, 56] Generated Node #3: [45, 56] from Operation: 71-15=56 Current State: 11:[45, 56], Operations: ['86-41=45', '71-15=56'] Exploring Operation: 56-45=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 81, 89, 38 ]
17
[ "38-28=10", "81+89=170", "170/10=17" ]
Current State: 17:[28, 81, 89, 38], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [81, 89, 10] Generated Node #2: [81, 89, 10] from Operation: 38-28=10 Current State: 17:[81, 89, 10], Operations: ['38-28=10'] Exploring Operation: 81+89=170, Resulting Numbers: [10, 170] Generated Node #3: [10, 170] from Operation: 81+89=170 Current State: 17:[10, 170], Operations: ['38-28=10', '81+89=170'] Exploring Operation: 170/10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 13, 5, 99, 70 ]
21
[ "13-5=8", "99-70=29", "29-8=21" ]
Current State: 21:[13, 5, 99, 70], Operations: [] Exploring Operation: 13-5=8, Resulting Numbers: [99, 70, 8] Generated Node #2: [99, 70, 8] from Operation: 13-5=8 Current State: 21:[99, 70, 8], Operations: ['13-5=8'] Exploring Operation: 99-70=29, Resulting Numbers: [8, 29] Generated Node #3: [8, 29] from Operation: 99-70=29 Current State: 21:[8, 29], Operations: ['13-5=8', '99-70=29'] Exploring Operation: 29-8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 94, 49, 16, 92 ]
63
[ "94-49=45", "16+92=108", "108-45=63" ]
Current State: 63:[94, 49, 16, 92], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [16, 92, 45] Generated Node #2: [16, 92, 45] from Operation: 94-49=45 Current State: 63:[16, 92, 45], Operations: ['94-49=45'] Exploring Operation: 16+92=108, Resulting Numbers: [45, 108] Generated Node #3: [45, 108] from Operation: 16+92=108 Current State: 63:[45, 108], Operations: ['94-49=45', '16+92=108'] Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 61, 80, 95, 56 ]
99
[ "61-56=5", "95/5=19", "80+19=99" ]
Current State: 99:[61, 80, 95, 56], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [80, 95, 5] Generated Node #2: [80, 95, 5] from Operation: 61-56=5 Current State: 99:[80, 95, 5], Operations: ['61-56=5'] Exploring Operation: 95/5=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 95/5=19 Current State: 99:[80, 19], Operations: ['61-56=5', '95/5=19'] Exploring Operation: 80+19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 15, 48, 17, 29 ]
75
[ "15+48=63", "29-17=12", "63+12=75" ]
Current State: 75:[15, 48, 17, 29], Operations: [] Exploring Operation: 15+48=63, Resulting Numbers: [17, 29, 63] Generated Node #2: [17, 29, 63] from Operation: 15+48=63 Current State: 75:[17, 29, 63], Operations: ['15+48=63'] Exploring Operation: 29-17=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 29-17=12 Current State: 75:[63, 12], Operations: ['15+48=63', '29-17=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 7, 99, 94 ]
70
[ "72-7=65", "99-94=5", "65+5=70" ]
Current State: 70:[72, 7, 99, 94], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [99, 94, 65] Generated Node #2: [99, 94, 65] from Operation: 72-7=65 Current State: 70:[99, 94, 65], Operations: ['72-7=65'] Exploring Operation: 99-94=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 99-94=5 Current State: 70:[65, 5], Operations: ['72-7=65', '99-94=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 8, 6, 3 ]
42
[ "3*8=24", "6*3=18", "24+18=42" ]
Current State: 42:[3, 8, 6, 3], Operations: [] Exploring Operation: 3*8=24, Resulting Numbers: [6, 24] Generated Node #2: [6, 24] from Operation: 3*8=24 Current State: 42:[6, 24], Operations: ['3*8=24'] Exploring Operation: 6*3=18, Resulting Numbers: [24, 18] Generated Node #3: [24, 18] from Operation: 6*3=18 Current State: 42:[24, 18], Operations: ['3*8=24', '6*3=18'] Exploring Operation: 24+18=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 93, 62, 34, 79 ]
42
[ "93+62=155", "34+79=113", "155-113=42" ]
Current State: 42:[93, 62, 34, 79], Operations: [] Exploring Operation: 93+62=155, Resulting Numbers: [34, 79, 155] Generated Node #2: [34, 79, 155] from Operation: 93+62=155 Current State: 42:[34, 79, 155], Operations: ['93+62=155'] Exploring Operation: 34+79=113, Resulting Numbers: [155, 113] Generated Node #3: [155, 113] from Operation: 34+79=113 Current State: 42:[155, 113], Operations: ['93+62=155', '34+79=113'] Exploring Operation: 155-113=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 46, 62, 66, 64 ]
85
[ "66-64=2", "46/2=23", "62+23=85" ]
Current State: 85:[46, 62, 66, 64], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [46, 62, 2] Generated Node #2: [46, 62, 2] from Operation: 66-64=2 Current State: 85:[46, 62, 2], Operations: ['66-64=2'] Exploring Operation: 46/2=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 46/2=23 Current State: 85:[62, 23], Operations: ['66-64=2', '46/2=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 88, 1, 83, 2 ]
39
[ "88*1=88", "88/2=44", "83-44=39" ]
Current State: 39:[88, 1, 83, 2], Operations: [] Exploring Operation: 88*1=88, Resulting Numbers: [83, 2, 88] Generated Node #2: [83, 2, 88] from Operation: 88*1=88 Current State: 39:[83, 2, 88], Operations: ['88*1=88'] Exploring Operation: 88/2=44, Resulting Numbers: [83, 44] Generated Node #3: [83, 44] from Operation: 88/2=44 Current State: 39:[83, 44], Operations: ['88*1=88', '88/2=44'] Exploring Operation: 83-44=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 90, 59, 26 ]
22
[ "17+90=107", "59+26=85", "107-85=22" ]
Current State: 22:[17, 90, 59, 26], Operations: [] Exploring Operation: 17+90=107, Resulting Numbers: [59, 26, 107] Generated Node #2: [59, 26, 107] from Operation: 17+90=107 Current State: 22:[59, 26, 107], Operations: ['17+90=107'] Exploring Operation: 59+26=85, Resulting Numbers: [107, 85] Generated Node #3: [107, 85] from Operation: 59+26=85 Current State: 22:[107, 85], Operations: ['17+90=107', '59+26=85'] Exploring Operation: 107-85=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 12, 96, 2, 5 ]
47
[ "96-12=84", "84/2=42", "5+42=47" ]
Current State: 47:[12, 96, 2, 5], Operations: [] Exploring Operation: 96-12=84, Resulting Numbers: [2, 5, 84] Generated Node #2: [2, 5, 84] from Operation: 96-12=84 Current State: 47:[2, 5, 84], Operations: ['96-12=84'] Exploring Operation: 84/2=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 84/2=42 Current State: 47:[5, 42], Operations: ['96-12=84', '84/2=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 55, 62, 84 ]
73
[ "18+55=73", "62+84=146", "146-73=73" ]
Current State: 73:[18, 55, 62, 84], Operations: [] Exploring Operation: 18+55=73, Resulting Numbers: [62, 84, 73] Generated Node #2: [62, 84, 73] from Operation: 18+55=73 Current State: 73:[62, 84, 73], Operations: ['18+55=73'] Exploring Operation: 62+84=146, Resulting Numbers: [73, 146] Generated Node #3: [73, 146] from Operation: 62+84=146 Current State: 73:[73, 146], Operations: ['18+55=73', '62+84=146'] Exploring Operation: 146-73=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 97, 88, 2, 63 ]
36
[ "97-88=9", "63+9=72", "72/2=36" ]
Current State: 36:[97, 88, 2, 63], Operations: [] Exploring Operation: 97-88=9, Resulting Numbers: [2, 63, 9] Generated Node #2: [2, 63, 9] from Operation: 97-88=9 Current State: 36:[2, 63, 9], Operations: ['97-88=9'] Exploring Operation: 63+9=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 63+9=72 Current State: 36:[2, 72], Operations: ['97-88=9', '63+9=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 29, 5, 44 ]
29
[ "29-9=20", "5+44=49", "49-20=29" ]
Current State: 29:[9, 29, 5, 44], Operations: [] Exploring Operation: 29-9=20, Resulting Numbers: [5, 44, 20] Generated Node #2: [5, 44, 20] from Operation: 29-9=20 Current State: 29:[5, 44, 20], Operations: ['29-9=20'] Exploring Operation: 5+44=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 5+44=49 Current State: 29:[20, 49], Operations: ['29-9=20', '5+44=49'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 81, 85, 40, 70 ]
26
[ "85-81=4", "70-40=30", "30-4=26" ]
Current State: 26:[81, 85, 40, 70], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [40, 70, 4] Generated Node #2: [40, 70, 4] from Operation: 85-81=4 Current State: 26:[40, 70, 4], Operations: ['85-81=4'] Exploring Operation: 70-40=30, Resulting Numbers: [4, 30] Generated Node #3: [4, 30] from Operation: 70-40=30 Current State: 26:[4, 30], Operations: ['85-81=4', '70-40=30'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 41, 63, 37 ]
75
[ "90-41=49", "63-37=26", "49+26=75" ]
Current State: 75:[90, 41, 63, 37], Operations: [] Exploring Operation: 90-41=49, Resulting Numbers: [63, 37, 49] Generated Node #2: [63, 37, 49] from Operation: 90-41=49 Current State: 75:[63, 37, 49], Operations: ['90-41=49'] Exploring Operation: 63-37=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 63-37=26 Current State: 75:[49, 26], Operations: ['90-41=49', '63-37=26'] Exploring Operation: 49+26=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 59, 92, 3 ]
77
[ "92-59=33", "33/3=11", "66+11=77" ]
Current State: 77:[66, 59, 92, 3], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [66, 3, 33] Generated Node #2: [66, 3, 33] from Operation: 92-59=33 Current State: 77:[66, 3, 33], Operations: ['92-59=33'] Exploring Operation: 33/3=11, Resulting Numbers: [66, 11] Generated Node #3: [66, 11] from Operation: 33/3=11 Current State: 77:[66, 11], Operations: ['92-59=33', '33/3=11'] Exploring Operation: 66+11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 33, 55, 18, 54 ]
19
[ "55-33=22", "54/18=3", "22-3=19" ]
Current State: 19:[33, 55, 18, 54], Operations: [] Exploring Operation: 55-33=22, Resulting Numbers: [18, 54, 22] Generated Node #2: [18, 54, 22] from Operation: 55-33=22 Current State: 19:[18, 54, 22], Operations: ['55-33=22'] Exploring Operation: 54/18=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 54/18=3 Current State: 19:[22, 3], Operations: ['55-33=22', '54/18=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 11, 81, 21, 58 ]
33
[ "81-11=70", "58-21=37", "70-37=33" ]
Current State: 33:[11, 81, 21, 58], Operations: [] Exploring Operation: 81-11=70, Resulting Numbers: [21, 58, 70] Generated Node #2: [21, 58, 70] from Operation: 81-11=70 Current State: 33:[21, 58, 70], Operations: ['81-11=70'] Exploring Operation: 58-21=37, Resulting Numbers: [70, 37] Generated Node #3: [70, 37] from Operation: 58-21=37 Current State: 33:[70, 37], Operations: ['81-11=70', '58-21=37'] Exploring Operation: 70-37=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 36, 90, 69, 41 ]
82
[ "90-36=54", "69-41=28", "54+28=82" ]
Current State: 82:[36, 90, 69, 41], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [69, 41, 54] Generated Node #2: [69, 41, 54] from Operation: 90-36=54 Current State: 82:[69, 41, 54], Operations: ['90-36=54'] Exploring Operation: 69-41=28, Resulting Numbers: [54, 28] Generated Node #3: [54, 28] from Operation: 69-41=28 Current State: 82:[54, 28], Operations: ['90-36=54', '69-41=28'] Exploring Operation: 54+28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 70, 55, 86, 16 ]
56
[ "86-70=16", "16/16=1", "55+1=56" ]
Current State: 56:[70, 55, 86, 16], Operations: [] Exploring Operation: 86-70=16, Resulting Numbers: [55, 16, 16] Generated Node #2: [55, 16, 16] from Operation: 86-70=16 Current State: 56:[55, 16, 16], Operations: ['86-70=16'] Exploring Operation: 16/16=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 16/16=1 Current State: 56:[55, 1], Operations: ['86-70=16', '16/16=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 65, 4, 5, 62 ]
47
[ "65-5=60", "60/4=15", "62-15=47" ]
Current State: 47:[65, 4, 5, 62], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [4, 62, 60] Generated Node #2: [4, 62, 60] from Operation: 65-5=60 Current State: 47:[4, 62, 60], Operations: ['65-5=60'] Exploring Operation: 60/4=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 60/4=15 Current State: 47:[62, 15], Operations: ['65-5=60', '60/4=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 57, 87, 43 ]
58
[ "45+57=102", "87-43=44", "102-44=58" ]
Current State: 58:[45, 57, 87, 43], Operations: [] Exploring Operation: 45+57=102, Resulting Numbers: [87, 43, 102] Generated Node #2: [87, 43, 102] from Operation: 45+57=102 Current State: 58:[87, 43, 102], Operations: ['45+57=102'] Exploring Operation: 87-43=44, Resulting Numbers: [102, 44] Generated Node #3: [102, 44] from Operation: 87-43=44 Current State: 58:[102, 44], Operations: ['45+57=102', '87-43=44'] Exploring Operation: 102-44=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 24, 29, 20 ]
49
[ "20/5=4", "24+29=53", "53-4=49" ]
Current State: 49:[5, 24, 29, 20], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [24, 29, 4] Generated Node #2: [24, 29, 4] from Operation: 20/5=4 Current State: 49:[24, 29, 4], Operations: ['20/5=4'] Exploring Operation: 24+29=53, Resulting Numbers: [4, 53] Generated Node #3: [4, 53] from Operation: 24+29=53 Current State: 49:[4, 53], Operations: ['20/5=4', '24+29=53'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 10, 39, 53 ]
36
[ "12+10=22", "53-39=14", "22+14=36" ]
Current State: 36:[12, 10, 39, 53], Operations: [] Exploring Operation: 12+10=22, Resulting Numbers: [39, 53, 22] Generated Node #2: [39, 53, 22] from Operation: 12+10=22 Current State: 36:[39, 53, 22], Operations: ['12+10=22'] Exploring Operation: 53-39=14, Resulting Numbers: [22, 14] Generated Node #3: [22, 14] from Operation: 53-39=14 Current State: 36:[22, 14], Operations: ['12+10=22', '53-39=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 77, 13, 7, 65 ]
75
[ "77-7=70", "65/13=5", "70+5=75" ]
Current State: 75:[77, 13, 7, 65], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [13, 65, 70] Generated Node #2: [13, 65, 70] from Operation: 77-7=70 Current State: 75:[13, 65, 70], Operations: ['77-7=70'] Exploring Operation: 65/13=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 65/13=5 Current State: 75:[70, 5], Operations: ['77-7=70', '65/13=5'] Exploring Operation: 70+5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 71, 6, 80 ]
31
[ "71-28=43", "80-6=74", "74-43=31" ]
Current State: 31:[28, 71, 6, 80], Operations: [] Exploring Operation: 71-28=43, Resulting Numbers: [6, 80, 43] Generated Node #2: [6, 80, 43] from Operation: 71-28=43 Current State: 31:[6, 80, 43], Operations: ['71-28=43'] Exploring Operation: 80-6=74, Resulting Numbers: [43, 74] Generated Node #3: [43, 74] from Operation: 80-6=74 Current State: 31:[43, 74], Operations: ['71-28=43', '80-6=74'] Exploring Operation: 74-43=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 57, 91, 3 ]
25
[ "12+57=69", "91+3=94", "94-69=25" ]
Current State: 25:[12, 57, 91, 3], Operations: [] Exploring Operation: 12+57=69, Resulting Numbers: [91, 3, 69] Generated Node #2: [91, 3, 69] from Operation: 12+57=69 Current State: 25:[91, 3, 69], Operations: ['12+57=69'] Exploring Operation: 91+3=94, Resulting Numbers: [69, 94] Generated Node #3: [69, 94] from Operation: 91+3=94 Current State: 25:[69, 94], Operations: ['12+57=69', '91+3=94'] Exploring Operation: 94-69=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 60, 28, 12, 66 ]
94
[ "28*66=1848", "1848/12=154", "154-60=94" ]
Current State: 94:[60, 28, 12, 66], Operations: [] Exploring Operation: 28*66=1848, Resulting Numbers: [60, 12, 1848] Generated Node #2: [60, 12, 1848] from Operation: 28*66=1848 Current State: 94:[60, 12, 1848], Operations: ['28*66=1848'] Exploring Operation: 1848/12=154, Resulting Numbers: [60, 154] Generated Node #3: [60, 154] from Operation: 1848/12=154 Current State: 94:[60, 154], Operations: ['28*66=1848', '1848/12=154'] Exploring Operation: 154-60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 20, 89, 90, 11 ]
41
[ "20*11=220", "89+90=179", "220-179=41" ]
Current State: 41:[20, 89, 90, 11], Operations: [] Exploring Operation: 20*11=220, Resulting Numbers: [89, 90, 220] Generated Node #2: [89, 90, 220] from Operation: 20*11=220 Current State: 41:[89, 90, 220], Operations: ['20*11=220'] Exploring Operation: 89+90=179, Resulting Numbers: [220, 179] Generated Node #3: [220, 179] from Operation: 89+90=179 Current State: 41:[220, 179], Operations: ['20*11=220', '89+90=179'] Exploring Operation: 220-179=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 26, 57, 29, 21 ]
91
[ "26+57=83", "29-21=8", "83+8=91" ]
Current State: 91:[26, 57, 29, 21], Operations: [] Exploring Operation: 26+57=83, Resulting Numbers: [29, 21, 83] Generated Node #2: [29, 21, 83] from Operation: 26+57=83 Current State: 91:[29, 21, 83], Operations: ['26+57=83'] Exploring Operation: 29-21=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 29-21=8 Current State: 91:[83, 8], Operations: ['26+57=83', '29-21=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 73, 24, 2, 91 ]
66
[ "91-73=18", "24*2=48", "18+48=66" ]
Current State: 66:[73, 24, 2, 91], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [24, 2, 18] Generated Node #2: [24, 2, 18] from Operation: 91-73=18 Current State: 66:[24, 2, 18], Operations: ['91-73=18'] Exploring Operation: 24*2=48, Resulting Numbers: [18, 48] Generated Node #3: [18, 48] from Operation: 24*2=48 Current State: 66:[18, 48], Operations: ['91-73=18', '24*2=48'] Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 53, 4, 58 ]
19
[ "58-53=5", "75/5=15", "4+15=19" ]
Current State: 19:[75, 53, 4, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [75, 4, 5] Generated Node #2: [75, 4, 5] from Operation: 58-53=5 Current State: 19:[75, 4, 5], Operations: ['58-53=5'] Exploring Operation: 75/5=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 75/5=15 Current State: 19:[4, 15], Operations: ['58-53=5', '75/5=15'] Exploring Operation: 4+15=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 15, 70, 27 ]
52
[ "3*15=45", "70+27=97", "97-45=52" ]
Current State: 52:[3, 15, 70, 27], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [70, 27, 45] Generated Node #2: [70, 27, 45] from Operation: 3*15=45 Current State: 52:[70, 27, 45], Operations: ['3*15=45'] Exploring Operation: 70+27=97, Resulting Numbers: [45, 97] Generated Node #3: [45, 97] from Operation: 70+27=97 Current State: 52:[45, 97], Operations: ['3*15=45', '70+27=97'] Exploring Operation: 97-45=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 45, 53, 60, 15 ]
33
[ "45/15=3", "60/3=20", "53-20=33" ]
Current State: 33:[45, 53, 60, 15], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [53, 60, 3] Generated Node #2: [53, 60, 3] from Operation: 45/15=3 Current State: 33:[53, 60, 3], Operations: ['45/15=3'] Exploring Operation: 60/3=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 60/3=20 Current State: 33:[53, 20], Operations: ['45/15=3', '60/3=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 7, 29, 37, 91 ]
90
[ "7+29=36", "91-37=54", "36+54=90" ]
Current State: 90:[7, 29, 37, 91], Operations: [] Exploring Operation: 7+29=36, Resulting Numbers: [37, 91, 36] Generated Node #2: [37, 91, 36] from Operation: 7+29=36 Current State: 90:[37, 91, 36], Operations: ['7+29=36'] Exploring Operation: 91-37=54, Resulting Numbers: [36, 54] Generated Node #3: [36, 54] from Operation: 91-37=54 Current State: 90:[36, 54], Operations: ['7+29=36', '91-37=54'] Exploring Operation: 36+54=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 48, 51, 85 ]
14
[ "96-48=48", "85-51=34", "48-34=14" ]
Current State: 14:[96, 48, 51, 85], Operations: [] Exploring Operation: 96-48=48, Resulting Numbers: [51, 85, 48] Generated Node #2: [51, 85, 48] from Operation: 96-48=48 Current State: 14:[51, 85, 48], Operations: ['96-48=48'] Exploring Operation: 85-51=34, Resulting Numbers: [48, 34] Generated Node #3: [48, 34] from Operation: 85-51=34 Current State: 14:[48, 34], Operations: ['96-48=48', '85-51=34'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 37, 28, 52, 7 ]
91
[ "37+28=65", "65-52=13", "7*13=91" ]
Current State: 91:[37, 28, 52, 7], Operations: [] Exploring Operation: 37+28=65, Resulting Numbers: [52, 7, 65] Generated Node #2: [52, 7, 65] from Operation: 37+28=65 Current State: 91:[52, 7, 65], Operations: ['37+28=65'] Exploring Operation: 65-52=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 65-52=13 Current State: 91:[7, 13], Operations: ['37+28=65', '65-52=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 54, 18, 57 ]
52
[ "57-48=9", "18/9=2", "54-2=52" ]
Current State: 52:[48, 54, 18, 57], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [54, 18, 9] Generated Node #2: [54, 18, 9] from Operation: 57-48=9 Current State: 52:[54, 18, 9], Operations: ['57-48=9'] Exploring Operation: 18/9=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 18/9=2 Current State: 52:[54, 2], Operations: ['57-48=9', '18/9=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 42, 36, 18, 71 ]
83
[ "42-36=6", "18+71=89", "89-6=83" ]
Current State: 83:[42, 36, 18, 71], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [18, 71, 6] Generated Node #2: [18, 71, 6] from Operation: 42-36=6 Current State: 83:[18, 71, 6], Operations: ['42-36=6'] Exploring Operation: 18+71=89, Resulting Numbers: [6, 89] Generated Node #3: [6, 89] from Operation: 18+71=89 Current State: 83:[6, 89], Operations: ['42-36=6', '18+71=89'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 19, 54, 2 ]
60
[ "31-19=12", "12/2=6", "54+6=60" ]
Current State: 60:[31, 19, 54, 2], Operations: [] Exploring Operation: 31-19=12, Resulting Numbers: [54, 2, 12] Generated Node #2: [54, 2, 12] from Operation: 31-19=12 Current State: 60:[54, 2, 12], Operations: ['31-19=12'] Exploring Operation: 12/2=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 12/2=6 Current State: 60:[54, 6], Operations: ['31-19=12', '12/2=6'] Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 83, 17, 6, 63 ]
74
[ "83-17=66", "66/6=11", "63+11=74" ]
Current State: 74:[83, 17, 6, 63], Operations: [] Exploring Operation: 83-17=66, Resulting Numbers: [6, 63, 66] Generated Node #2: [6, 63, 66] from Operation: 83-17=66 Current State: 74:[6, 63, 66], Operations: ['83-17=66'] Exploring Operation: 66/6=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 66/6=11 Current State: 74:[63, 11], Operations: ['83-17=66', '66/6=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 94, 11, 61, 55 ]
89
[ "94-11=83", "61-55=6", "83+6=89" ]
Current State: 89:[94, 11, 61, 55], Operations: [] Exploring Operation: 94-11=83, Resulting Numbers: [61, 55, 83] Generated Node #2: [61, 55, 83] from Operation: 94-11=83 Current State: 89:[61, 55, 83], Operations: ['94-11=83'] Exploring Operation: 61-55=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 61-55=6 Current State: 89:[83, 6], Operations: ['94-11=83', '61-55=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 46, 70, 26, 7 ]
10
[ "46-26=20", "70/7=10", "20-10=10" ]
Current State: 10:[46, 70, 26, 7], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [70, 7, 20] Generated Node #2: [70, 7, 20] from Operation: 46-26=20 Current State: 10:[70, 7, 20], Operations: ['46-26=20'] Exploring Operation: 70/7=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 70/7=10 Current State: 10:[20, 10], Operations: ['46-26=20', '70/7=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 98, 3, 69, 45 ]
90
[ "98-45=53", "3*53=159", "159-69=90" ]
Current State: 90:[98, 3, 69, 45], Operations: [] Exploring Operation: 98-45=53, Resulting Numbers: [3, 69, 53] Generated Node #2: [3, 69, 53] from Operation: 98-45=53 Current State: 90:[3, 69, 53], Operations: ['98-45=53'] Exploring Operation: 3*53=159, Resulting Numbers: [69, 159] Generated Node #3: [69, 159] from Operation: 3*53=159 Current State: 90:[69, 159], Operations: ['98-45=53', '3*53=159'] Exploring Operation: 159-69=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 82, 20, 99, 68 ]
71
[ "82+20=102", "99-68=31", "102-31=71" ]
Current State: 71:[82, 20, 99, 68], Operations: [] Exploring Operation: 82+20=102, Resulting Numbers: [99, 68, 102] Generated Node #2: [99, 68, 102] from Operation: 82+20=102 Current State: 71:[99, 68, 102], Operations: ['82+20=102'] Exploring Operation: 99-68=31, Resulting Numbers: [102, 31] Generated Node #3: [102, 31] from Operation: 99-68=31 Current State: 71:[102, 31], Operations: ['82+20=102', '99-68=31'] Exploring Operation: 102-31=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 88, 93, 15 ]
48
[ "38+88=126", "93-15=78", "126-78=48" ]
Current State: 48:[38, 88, 93, 15], Operations: [] Exploring Operation: 38+88=126, Resulting Numbers: [93, 15, 126] Generated Node #2: [93, 15, 126] from Operation: 38+88=126 Current State: 48:[93, 15, 126], Operations: ['38+88=126'] Exploring Operation: 93-15=78, Resulting Numbers: [126, 78] Generated Node #3: [126, 78] from Operation: 93-15=78 Current State: 48:[126, 78], Operations: ['38+88=126', '93-15=78'] Exploring Operation: 126-78=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 97, 65, 4, 2 ]
83
[ "97+65=162", "4+162=166", "166/2=83" ]
Current State: 83:[97, 65, 4, 2], Operations: [] Exploring Operation: 97+65=162, Resulting Numbers: [4, 2, 162] Generated Node #2: [4, 2, 162] from Operation: 97+65=162 Current State: 83:[4, 2, 162], Operations: ['97+65=162'] Exploring Operation: 4+162=166, Resulting Numbers: [2, 166] Generated Node #3: [2, 166] from Operation: 4+162=166 Current State: 83:[2, 166], Operations: ['97+65=162', '4+162=166'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 67, 10, 22 ]
19
[ "67-60=7", "22-10=12", "7+12=19" ]
Current State: 19:[60, 67, 10, 22], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [10, 22, 7] Generated Node #2: [10, 22, 7] from Operation: 67-60=7 Current State: 19:[10, 22, 7], Operations: ['67-60=7'] Exploring Operation: 22-10=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 22-10=12 Current State: 19:[7, 12], Operations: ['67-60=7', '22-10=12'] Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 92, 70, 66, 70 ]
92
[ "70-70=0", "66*0=0", "92+0=92" ]
Current State: 92:[92, 70, 66, 70], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [92, 66, 0] Generated Node #2: [92, 66, 0] from Operation: 70-70=0 Current State: 92:[92, 66, 0], Operations: ['70-70=0'] Exploring Operation: 66*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 66*0=0 Current State: 92:[92, 0], Operations: ['70-70=0', '66*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 21, 24, 74 ]
89
[ "24-21=3", "45/3=15", "74+15=89" ]
Current State: 89:[45, 21, 24, 74], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [45, 74, 3] Generated Node #2: [45, 74, 3] from Operation: 24-21=3 Current State: 89:[45, 74, 3], Operations: ['24-21=3'] Exploring Operation: 45/3=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 45/3=15 Current State: 89:[74, 15], Operations: ['24-21=3', '45/3=15'] Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 26, 36, 73 ]
93
[ "26-10=16", "36+73=109", "109-16=93" ]
Current State: 93:[10, 26, 36, 73], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [36, 73, 16] Generated Node #2: [36, 73, 16] from Operation: 26-10=16 Current State: 93:[36, 73, 16], Operations: ['26-10=16'] Exploring Operation: 36+73=109, Resulting Numbers: [16, 109] Generated Node #3: [16, 109] from Operation: 36+73=109 Current State: 93:[16, 109], Operations: ['26-10=16', '36+73=109'] Exploring Operation: 109-16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 91, 92, 69 ]
93
[ "92-69=23", "8*23=184", "184-91=93" ]
Current State: 93:[8, 91, 92, 69], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [8, 91, 23] Generated Node #2: [8, 91, 23] from Operation: 92-69=23 Current State: 93:[8, 91, 23], Operations: ['92-69=23'] Exploring Operation: 8*23=184, Resulting Numbers: [91, 184] Generated Node #3: [91, 184] from Operation: 8*23=184 Current State: 93:[91, 184], Operations: ['92-69=23', '8*23=184'] Exploring Operation: 184-91=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 26, 42, 97, 16 ]
97
[ "42-26=16", "97+16=113", "113-16=97" ]
Current State: 97:[26, 42, 97, 16], Operations: [] Exploring Operation: 42-26=16, Resulting Numbers: [97, 16, 16] Generated Node #2: [97, 16, 16] from Operation: 42-26=16 Current State: 97:[97, 16, 16], Operations: ['42-26=16'] Exploring Operation: 97+16=113, Resulting Numbers: [113] 113,97 equal: Goal Reached Exploring Operation: 113-16=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 16, 43, 76, 85 ]
50
[ "16+43=59", "85-76=9", "59-9=50" ]
Current State: 50:[16, 43, 76, 85], Operations: [] Exploring Operation: 16+43=59, Resulting Numbers: [76, 85, 59] Generated Node #2: [76, 85, 59] from Operation: 16+43=59 Current State: 50:[76, 85, 59], Operations: ['16+43=59'] Exploring Operation: 85-76=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 85-76=9 Current State: 50:[59, 9], Operations: ['16+43=59', '85-76=9'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 26, 28, 75 ]
14
[ "47+26=73", "75-73=2", "28/2=14" ]
Current State: 14:[47, 26, 28, 75], Operations: [] Exploring Operation: 47+26=73, Resulting Numbers: [28, 75, 73] Generated Node #2: [28, 75, 73] from Operation: 47+26=73 Current State: 14:[28, 75, 73], Operations: ['47+26=73'] Exploring Operation: 75-73=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 75-73=2 Current State: 14:[28, 2], Operations: ['47+26=73', '75-73=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 48, 3, 45 ]
79
[ "54+48=102", "102/3=34", "45+34=79" ]
Current State: 79:[54, 48, 3, 45], Operations: [] Exploring Operation: 54+48=102, Resulting Numbers: [3, 45, 102] Generated Node #2: [3, 45, 102] from Operation: 54+48=102 Current State: 79:[3, 45, 102], Operations: ['54+48=102'] Exploring Operation: 102/3=34, Resulting Numbers: [45, 34] Generated Node #3: [45, 34] from Operation: 102/3=34 Current State: 79:[45, 34], Operations: ['54+48=102', '102/3=34'] Exploring Operation: 45+34=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 60, 87, 1, 8 ]
18
[ "87-60=27", "1+8=9", "27-9=18" ]
Current State: 18:[60, 87, 1, 8], Operations: [] Exploring Operation: 87-60=27, Resulting Numbers: [1, 8, 27] Generated Node #2: [1, 8, 27] from Operation: 87-60=27 Current State: 18:[1, 8, 27], Operations: ['87-60=27'] Exploring Operation: 1+8=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 1+8=9 Current State: 18:[27, 9], Operations: ['87-60=27', '1+8=9'] Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 94, 64, 19, 35 ]
95
[ "94-64=30", "35-30=5", "19*5=95" ]
Current State: 95:[94, 64, 19, 35], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [19, 35, 30] Generated Node #2: [19, 35, 30] from Operation: 94-64=30 Current State: 95:[19, 35, 30], Operations: ['94-64=30'] Exploring Operation: 35-30=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 35-30=5 Current State: 95:[19, 5], Operations: ['94-64=30', '35-30=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 4, 83, 30 ]
39
[ "83-2=81", "4*30=120", "120-81=39" ]
Current State: 39:[2, 4, 83, 30], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [4, 30, 81] Generated Node #2: [4, 30, 81] from Operation: 83-2=81 Current State: 39:[4, 30, 81], Operations: ['83-2=81'] Exploring Operation: 4*30=120, Resulting Numbers: [81, 120] Generated Node #3: [81, 120] from Operation: 4*30=120 Current State: 39:[81, 120], Operations: ['83-2=81', '4*30=120'] Exploring Operation: 120-81=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 35, 86, 70, 30 ]
49
[ "86-35=51", "70+30=100", "100-51=49" ]
Current State: 49:[35, 86, 70, 30], Operations: [] Exploring Operation: 86-35=51, Resulting Numbers: [70, 30, 51] Generated Node #2: [70, 30, 51] from Operation: 86-35=51 Current State: 49:[70, 30, 51], Operations: ['86-35=51'] Exploring Operation: 70+30=100, Resulting Numbers: [51, 100] Generated Node #3: [51, 100] from Operation: 70+30=100 Current State: 49:[51, 100], Operations: ['86-35=51', '70+30=100'] Exploring Operation: 100-51=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 74, 32, 4, 33 ]
13
[ "74-32=42", "33-4=29", "42-29=13" ]
Current State: 13:[74, 32, 4, 33], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [4, 33, 42] Generated Node #2: [4, 33, 42] from Operation: 74-32=42 Current State: 13:[4, 33, 42], Operations: ['74-32=42'] Exploring Operation: 33-4=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 33-4=29 Current State: 13:[42, 29], Operations: ['74-32=42', '33-4=29'] Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 95, 71, 3, 42 ]
15
[ "95-71=24", "42-3=39", "39-24=15" ]
Current State: 15:[95, 71, 3, 42], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [3, 42, 24] Generated Node #2: [3, 42, 24] from Operation: 95-71=24 Current State: 15:[3, 42, 24], Operations: ['95-71=24'] Exploring Operation: 42-3=39, Resulting Numbers: [24, 39] Generated Node #3: [24, 39] from Operation: 42-3=39 Current State: 15:[24, 39], Operations: ['95-71=24', '42-3=39'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 68, 87, 33, 51 ]
72
[ "87-33=54", "68*54=3672", "3672/51=72" ]
Current State: 72:[68, 87, 33, 51], Operations: [] Exploring Operation: 87-33=54, Resulting Numbers: [68, 51, 54] Generated Node #2: [68, 51, 54] from Operation: 87-33=54 Current State: 72:[68, 51, 54], Operations: ['87-33=54'] Exploring Operation: 68*54=3672, Resulting Numbers: [51, 3672] Generated Node #3: [51, 3672] from Operation: 68*54=3672 Current State: 72:[51, 3672], Operations: ['87-33=54', '68*54=3672'] Exploring Operation: 3672/51=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 16, 5, 7 ]
73
[ "34+5=39", "16*7=112", "112-39=73" ]
Current State: 73:[34, 16, 5, 7], Operations: [] Exploring Operation: 34+5=39, Resulting Numbers: [16, 7, 39] Generated Node #2: [16, 7, 39] from Operation: 34+5=39 Current State: 73:[16, 7, 39], Operations: ['34+5=39'] Exploring Operation: 16*7=112, Resulting Numbers: [39, 112] Generated Node #3: [39, 112] from Operation: 16*7=112 Current State: 73:[39, 112], Operations: ['34+5=39', '16*7=112'] Exploring Operation: 112-39=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 25, 86, 21, 33 ]
49
[ "86-25=61", "33-21=12", "61-12=49" ]
Current State: 49:[25, 86, 21, 33], Operations: [] Exploring Operation: 86-25=61, Resulting Numbers: [21, 33, 61] Generated Node #2: [21, 33, 61] from Operation: 86-25=61 Current State: 49:[21, 33, 61], Operations: ['86-25=61'] Exploring Operation: 33-21=12, Resulting Numbers: [61, 12] Generated Node #3: [61, 12] from Operation: 33-21=12 Current State: 49:[61, 12], Operations: ['86-25=61', '33-21=12'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 26, 22, 63, 22 ]
90
[ "26+63=89", "22/22=1", "89+1=90" ]
Current State: 90:[26, 22, 63, 22], Operations: [] Exploring Operation: 26+63=89, Resulting Numbers: [22, 22, 89] Generated Node #2: [22, 22, 89] from Operation: 26+63=89 Current State: 90:[22, 22, 89], Operations: ['26+63=89'] Exploring Operation: 22/22=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 22/22=1 Current State: 90:[89, 1], Operations: ['26+63=89', '22/22=1'] Exploring Operation: 89+1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 95, 18, 29 ]
52
[ "4+95=99", "18+29=47", "99-47=52" ]
Current State: 52:[4, 95, 18, 29], Operations: [] Exploring Operation: 4+95=99, Resulting Numbers: [18, 29, 99] Generated Node #2: [18, 29, 99] from Operation: 4+95=99 Current State: 52:[18, 29, 99], Operations: ['4+95=99'] Exploring Operation: 18+29=47, Resulting Numbers: [99, 47] Generated Node #3: [99, 47] from Operation: 18+29=47 Current State: 52:[99, 47], Operations: ['4+95=99', '18+29=47'] Exploring Operation: 99-47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 92, 7, 70 ]
82
[ "92-8=84", "84/7=12", "70+12=82" ]
Current State: 82:[8, 92, 7, 70], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [7, 70, 84] Generated Node #2: [7, 70, 84] from Operation: 92-8=84 Current State: 82:[7, 70, 84], Operations: ['92-8=84'] Exploring Operation: 84/7=12, Resulting Numbers: [70, 12] Generated Node #3: [70, 12] from Operation: 84/7=12 Current State: 82:[70, 12], Operations: ['92-8=84', '84/7=12'] Exploring Operation: 70+12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 69, 64, 21 ]
75
[ "69-59=10", "64+21=85", "85-10=75" ]
Current State: 75:[59, 69, 64, 21], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [64, 21, 10] Generated Node #2: [64, 21, 10] from Operation: 69-59=10 Current State: 75:[64, 21, 10], Operations: ['69-59=10'] Exploring Operation: 64+21=85, Resulting Numbers: [10, 85] Generated Node #3: [10, 85] from Operation: 64+21=85 Current State: 75:[10, 85], Operations: ['69-59=10', '64+21=85'] Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 12, 29, 92 ]
16
[ "93+12=105", "29+92=121", "121-105=16" ]
Current State: 16:[93, 12, 29, 92], Operations: [] Exploring Operation: 93+12=105, Resulting Numbers: [29, 92, 105] Generated Node #2: [29, 92, 105] from Operation: 93+12=105 Current State: 16:[29, 92, 105], Operations: ['93+12=105'] Exploring Operation: 29+92=121, Resulting Numbers: [105, 121] Generated Node #3: [105, 121] from Operation: 29+92=121 Current State: 16:[105, 121], Operations: ['93+12=105', '29+92=121'] Exploring Operation: 121-105=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 5, 3, 74 ]
48
[ "25*5=125", "3+74=77", "125-77=48" ]
Current State: 48:[25, 5, 3, 74], Operations: [] Exploring Operation: 25*5=125, Resulting Numbers: [3, 74, 125] Generated Node #2: [3, 74, 125] from Operation: 25*5=125 Current State: 48:[3, 74, 125], Operations: ['25*5=125'] Exploring Operation: 3+74=77, Resulting Numbers: [125, 77] Generated Node #3: [125, 77] from Operation: 3+74=77 Current State: 48:[125, 77], Operations: ['25*5=125', '3+74=77'] Exploring Operation: 125-77=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 81, 28, 8, 4 ]
25
[ "28*8=224", "224/4=56", "81-56=25" ]
Current State: 25:[81, 28, 8, 4], Operations: [] Exploring Operation: 28*8=224, Resulting Numbers: [81, 4, 224] Generated Node #2: [81, 4, 224] from Operation: 28*8=224 Current State: 25:[81, 4, 224], Operations: ['28*8=224'] Exploring Operation: 224/4=56, Resulting Numbers: [81, 56] Generated Node #3: [81, 56] from Operation: 224/4=56 Current State: 25:[81, 56], Operations: ['28*8=224', '224/4=56'] Exploring Operation: 81-56=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 12, 2, 72 ]
59
[ "11+12=23", "72/2=36", "23+36=59" ]
Current State: 59:[11, 12, 2, 72], Operations: [] Exploring Operation: 11+12=23, Resulting Numbers: [2, 72, 23] Generated Node #2: [2, 72, 23] from Operation: 11+12=23 Current State: 59:[2, 72, 23], Operations: ['11+12=23'] Exploring Operation: 72/2=36, Resulting Numbers: [23, 36] Generated Node #3: [23, 36] from Operation: 72/2=36 Current State: 59:[23, 36], Operations: ['11+12=23', '72/2=36'] Exploring Operation: 23+36=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 36, 26, 63 ]
45
[ "26-19=7", "63/7=9", "36+9=45" ]
Current State: 45:[19, 36, 26, 63], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [36, 63, 7] Generated Node #2: [36, 63, 7] from Operation: 26-19=7 Current State: 45:[36, 63, 7], Operations: ['26-19=7'] Exploring Operation: 63/7=9, Resulting Numbers: [36, 9] Generated Node #3: [36, 9] from Operation: 63/7=9 Current State: 45:[36, 9], Operations: ['26-19=7', '63/7=9'] Exploring Operation: 36+9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 24, 25, 51 ]
15
[ "17+24=41", "51-25=26", "41-26=15" ]
Current State: 15:[17, 24, 25, 51], Operations: [] Exploring Operation: 17+24=41, Resulting Numbers: [25, 51, 41] Generated Node #2: [25, 51, 41] from Operation: 17+24=41 Current State: 15:[25, 51, 41], Operations: ['17+24=41'] Exploring Operation: 51-25=26, Resulting Numbers: [41, 26] Generated Node #3: [41, 26] from Operation: 51-25=26 Current State: 15:[41, 26], Operations: ['17+24=41', '51-25=26'] Exploring Operation: 41-26=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 34, 17, 78 ]
46
[ "14+78=92", "34/17=2", "92/2=46" ]
Current State: 46:[14, 34, 17, 78], Operations: [] Exploring Operation: 14+78=92, Resulting Numbers: [34, 17, 92] Generated Node #2: [34, 17, 92] from Operation: 14+78=92 Current State: 46:[34, 17, 92], Operations: ['14+78=92'] Exploring Operation: 34/17=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 34/17=2 Current State: 46:[92, 2], Operations: ['14+78=92', '34/17=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 33, 49, 2 ]
25
[ "33-32=1", "49+1=50", "50/2=25" ]
Current State: 25:[32, 33, 49, 2], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [49, 2, 1] Generated Node #2: [49, 2, 1] from Operation: 33-32=1 Current State: 25:[49, 2, 1], Operations: ['33-32=1'] Exploring Operation: 49+1=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 49+1=50 Current State: 25:[2, 50], Operations: ['33-32=1', '49+1=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 51, 35, 10, 47 ]
21
[ "51-35=16", "47-10=37", "37-16=21" ]
Current State: 21:[51, 35, 10, 47], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [10, 47, 16] Generated Node #2: [10, 47, 16] from Operation: 51-35=16 Current State: 21:[10, 47, 16], Operations: ['51-35=16'] Exploring Operation: 47-10=37, Resulting Numbers: [16, 37] Generated Node #3: [16, 37] from Operation: 47-10=37 Current State: 21:[16, 37], Operations: ['51-35=16', '47-10=37'] Exploring Operation: 37-16=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 61, 54, 58, 2 ]
16
[ "61-58=3", "54/3=18", "18-2=16" ]
Current State: 16:[61, 54, 58, 2], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [54, 2, 3] Generated Node #2: [54, 2, 3] from Operation: 61-58=3 Current State: 16:[54, 2, 3], Operations: ['61-58=3'] Exploring Operation: 54/3=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 54/3=18 Current State: 16:[2, 18], Operations: ['61-58=3', '54/3=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 29, 57, 98, 98 ]
57
[ "98-98=0", "29*0=0", "57+0=57" ]
Current State: 57:[29, 57, 98, 98], Operations: [] Exploring Operation: 98-98=0, Resulting Numbers: [29, 57, 0] Generated Node #2: [29, 57, 0] from Operation: 98-98=0 Current State: 57:[29, 57, 0], Operations: ['98-98=0'] Exploring Operation: 29*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 29*0=0 Current State: 57:[57, 0], Operations: ['98-98=0', '29*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 78, 51, 80, 14 ]
39
[ "78-51=27", "80-14=66", "66-27=39" ]
Current State: 39:[78, 51, 80, 14], Operations: [] Exploring Operation: 78-51=27, Resulting Numbers: [80, 14, 27] Generated Node #2: [80, 14, 27] from Operation: 78-51=27 Current State: 39:[80, 14, 27], Operations: ['78-51=27'] Exploring Operation: 80-14=66, Resulting Numbers: [27, 66] Generated Node #3: [27, 66] from Operation: 80-14=66 Current State: 39:[27, 66], Operations: ['78-51=27', '80-14=66'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4