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
[ 34, 81, 41, 27 ]
33
[ "81-34=47", "41-27=14", "47-14=33" ]
Current State: 33:[34, 81, 41, 27], Operations: [] Exploring Operation: 81-34=47, Resulting Numbers: [41, 27, 47] Generated Node #2: [41, 27, 47] from Operation: 81-34=47 Current State: 33:[41, 27, 47], Operations: ['81-34=47'] Exploring Operation: 41-27=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 41-27=14 Current State: 33:[47, 14], Operations: ['81-34=47', '41-27=14'] Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 33, 11, 34, 37 ]
47
[ "33+11=44", "37-34=3", "44+3=47" ]
Current State: 47:[33, 11, 34, 37], Operations: [] Exploring Operation: 33+11=44, Resulting Numbers: [34, 37, 44] Generated Node #2: [34, 37, 44] from Operation: 33+11=44 Current State: 47:[34, 37, 44], Operations: ['33+11=44'] Exploring Operation: 37-34=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 37-34=3 Current State: 47:[44, 3], Operations: ['33+11=44', '37-34=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 8, 50, 29, 79 ]
77
[ "8+50=58", "58/29=2", "79-2=77" ]
Current State: 77:[8, 50, 29, 79], Operations: [] Exploring Operation: 8+50=58, Resulting Numbers: [29, 79, 58] Generated Node #2: [29, 79, 58] from Operation: 8+50=58 Current State: 77:[29, 79, 58], Operations: ['8+50=58'] Exploring Operation: 58/29=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 58/29=2 Current State: 77:[79, 2], Operations: ['8+50=58', '58/29=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 38, 29, 27 ]
51
[ "87-38=49", "29-27=2", "49+2=51" ]
Current State: 51:[87, 38, 29, 27], Operations: [] Exploring Operation: 87-38=49, Resulting Numbers: [29, 27, 49] Generated Node #2: [29, 27, 49] from Operation: 87-38=49 Current State: 51:[29, 27, 49], Operations: ['87-38=49'] Exploring Operation: 29-27=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 29-27=2 Current State: 51:[49, 2], Operations: ['87-38=49', '29-27=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 13, 25, 5, 21 ]
91
[ "13+21=34", "25*5=125", "125-34=91" ]
Current State: 91:[13, 25, 5, 21], Operations: [] Exploring Operation: 13+21=34, Resulting Numbers: [25, 5, 34] Generated Node #2: [25, 5, 34] from Operation: 13+21=34 Current State: 91:[25, 5, 34], Operations: ['13+21=34'] Exploring Operation: 25*5=125, Resulting Numbers: [34, 125] Generated Node #3: [34, 125] from Operation: 25*5=125 Current State: 91:[34, 125], Operations: ['13+21=34', '25*5=125'] Exploring Operation: 125-34=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 79, 52, 44, 46 ]
53
[ "46-44=2", "52/2=26", "79-26=53" ]
Current State: 53:[79, 52, 44, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [79, 52, 2] Generated Node #2: [79, 52, 2] from Operation: 46-44=2 Current State: 53:[79, 52, 2], Operations: ['46-44=2'] Exploring Operation: 52/2=26, Resulting Numbers: [79, 26] Generated Node #3: [79, 26] from Operation: 52/2=26 Current State: 53:[79, 26], Operations: ['46-44=2', '52/2=26'] Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 2, 60, 15 ]
86
[ "80+2=82", "60/15=4", "82+4=86" ]
Current State: 86:[80, 2, 60, 15], Operations: [] Exploring Operation: 80+2=82, Resulting Numbers: [60, 15, 82] Generated Node #2: [60, 15, 82] from Operation: 80+2=82 Current State: 86:[60, 15, 82], Operations: ['80+2=82'] Exploring Operation: 60/15=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 60/15=4 Current State: 86:[82, 4], Operations: ['80+2=82', '60/15=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 56, 2, 73, 14 ]
45
[ "73-56=17", "2*14=28", "17+28=45" ]
Current State: 45:[56, 2, 73, 14], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [2, 14, 17] Generated Node #2: [2, 14, 17] from Operation: 73-56=17 Current State: 45:[2, 14, 17], Operations: ['73-56=17'] Exploring Operation: 2*14=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 2*14=28 Current State: 45:[17, 28], Operations: ['73-56=17', '2*14=28'] Exploring Operation: 17+28=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 95, 18, 9, 5 ]
68
[ "95+18=113", "9*5=45", "113-45=68" ]
Current State: 68:[95, 18, 9, 5], Operations: [] Exploring Operation: 95+18=113, Resulting Numbers: [9, 5, 113] Generated Node #2: [9, 5, 113] from Operation: 95+18=113 Current State: 68:[9, 5, 113], Operations: ['95+18=113'] Exploring Operation: 9*5=45, Resulting Numbers: [113, 45] Generated Node #3: [113, 45] from Operation: 9*5=45 Current State: 68:[113, 45], Operations: ['95+18=113', '9*5=45'] Exploring Operation: 113-45=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 96, 17, 36 ]
60
[ "11*96=1056", "1056-36=1020", "1020/17=60" ]
Current State: 60:[11, 96, 17, 36], Operations: [] Exploring Operation: 11*96=1056, Resulting Numbers: [17, 36, 1056] Generated Node #2: [17, 36, 1056] from Operation: 11*96=1056 Current State: 60:[17, 36, 1056], Operations: ['11*96=1056'] Exploring Operation: 1056-36=1020, Resulting Numbers: [17, 1020] Generated Node #3: [17, 1020] from Operation: 1056-36=1020 Current State: 60:[17, 1020], Operations: ['11*96=1056', '1056-36=1020'] Exploring Operation: 1020/17=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 24, 28, 34, 48 ]
40
[ "48/24=2", "34*2=68", "68-28=40" ]
Current State: 40:[24, 28, 34, 48], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [28, 34, 2] Generated Node #2: [28, 34, 2] from Operation: 48/24=2 Current State: 40:[28, 34, 2], Operations: ['48/24=2'] Exploring Operation: 34*2=68, Resulting Numbers: [28, 68] Generated Node #3: [28, 68] from Operation: 34*2=68 Current State: 40:[28, 68], Operations: ['48/24=2', '34*2=68'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 31, 26, 65 ]
76
[ "6+31=37", "65-26=39", "37+39=76" ]
Current State: 76:[6, 31, 26, 65], Operations: [] Exploring Operation: 6+31=37, Resulting Numbers: [26, 65, 37] Generated Node #2: [26, 65, 37] from Operation: 6+31=37 Current State: 76:[26, 65, 37], Operations: ['6+31=37'] Exploring Operation: 65-26=39, Resulting Numbers: [37, 39] Generated Node #3: [37, 39] from Operation: 65-26=39 Current State: 76:[37, 39], Operations: ['6+31=37', '65-26=39'] Exploring Operation: 37+39=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 53, 32, 51 ]
23
[ "14+32=46", "53-51=2", "46/2=23" ]
Current State: 23:[14, 53, 32, 51], Operations: [] Exploring Operation: 14+32=46, Resulting Numbers: [53, 51, 46] Generated Node #2: [53, 51, 46] from Operation: 14+32=46 Current State: 23:[53, 51, 46], Operations: ['14+32=46'] Exploring Operation: 53-51=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 53-51=2 Current State: 23:[46, 2], Operations: ['14+32=46', '53-51=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 88, 37, 59, 1 ]
66
[ "88+37=125", "59*1=59", "125-59=66" ]
Current State: 66:[88, 37, 59, 1], Operations: [] Exploring Operation: 88+37=125, Resulting Numbers: [59, 1, 125] Generated Node #2: [59, 1, 125] from Operation: 88+37=125 Current State: 66:[59, 1, 125], Operations: ['88+37=125'] Exploring Operation: 59*1=59, Resulting Numbers: [125, 59] Generated Node #3: [125, 59] from Operation: 59*1=59 Current State: 66:[125, 59], Operations: ['88+37=125', '59*1=59'] Exploring Operation: 125-59=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 1, 73, 99, 96 ]
24
[ "73-1=72", "99-96=3", "72/3=24" ]
Current State: 24:[1, 73, 99, 96], Operations: [] Exploring Operation: 73-1=72, Resulting Numbers: [99, 96, 72] Generated Node #2: [99, 96, 72] from Operation: 73-1=72 Current State: 24:[99, 96, 72], Operations: ['73-1=72'] Exploring Operation: 99-96=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 99-96=3 Current State: 24:[72, 3], Operations: ['73-1=72', '99-96=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 88, 41, 2 ]
42
[ "93+41=134", "88*2=176", "176-134=42" ]
Current State: 42:[93, 88, 41, 2], Operations: [] Exploring Operation: 93+41=134, Resulting Numbers: [88, 2, 134] Generated Node #2: [88, 2, 134] from Operation: 93+41=134 Current State: 42:[88, 2, 134], Operations: ['93+41=134'] Exploring Operation: 88*2=176, Resulting Numbers: [134, 176] Generated Node #3: [134, 176] from Operation: 88*2=176 Current State: 42:[134, 176], Operations: ['93+41=134', '88*2=176'] Exploring Operation: 176-134=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 16, 12, 97 ]
59
[ "34+16=50", "12+97=109", "109-50=59" ]
Current State: 59:[34, 16, 12, 97], Operations: [] Exploring Operation: 34+16=50, Resulting Numbers: [12, 97, 50] Generated Node #2: [12, 97, 50] from Operation: 34+16=50 Current State: 59:[12, 97, 50], Operations: ['34+16=50'] Exploring Operation: 12+97=109, Resulting Numbers: [50, 109] Generated Node #3: [50, 109] from Operation: 12+97=109 Current State: 59:[50, 109], Operations: ['34+16=50', '12+97=109'] Exploring Operation: 109-50=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 29, 63, 7, 16 ]
54
[ "29+16=45", "63/7=9", "45+9=54" ]
Current State: 54:[29, 63, 7, 16], Operations: [] Exploring Operation: 29+16=45, Resulting Numbers: [63, 7, 45] Generated Node #2: [63, 7, 45] from Operation: 29+16=45 Current State: 54:[63, 7, 45], Operations: ['29+16=45'] Exploring Operation: 63/7=9, Resulting Numbers: [45, 9] Generated Node #3: [45, 9] from Operation: 63/7=9 Current State: 54:[45, 9], Operations: ['29+16=45', '63/7=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 23, 49, 41 ]
15
[ "23-17=6", "49+41=90", "90/6=15" ]
Current State: 15:[17, 23, 49, 41], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [49, 41, 6] Generated Node #2: [49, 41, 6] from Operation: 23-17=6 Current State: 15:[49, 41, 6], Operations: ['23-17=6'] Exploring Operation: 49+41=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 49+41=90 Current State: 15:[6, 90], Operations: ['23-17=6', '49+41=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 44, 11, 87 ]
43
[ "11-10=1", "87-44=43", "1*43=43" ]
Current State: 43:[10, 44, 11, 87], Operations: [] Exploring Operation: 11-10=1, Resulting Numbers: [44, 87, 1] Generated Node #2: [44, 87, 1] from Operation: 11-10=1 Current State: 43:[44, 87, 1], Operations: ['11-10=1'] Exploring Operation: 87-44=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 87-44=43 Current State: 43:[1, 43], Operations: ['11-10=1', '87-44=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 19, 69, 22, 82 ]
39
[ "22-19=3", "82-69=13", "3*13=39" ]
Current State: 39:[19, 69, 22, 82], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [69, 82, 3] Generated Node #2: [69, 82, 3] from Operation: 22-19=3 Current State: 39:[69, 82, 3], Operations: ['22-19=3'] Exploring Operation: 82-69=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 82-69=13 Current State: 39:[3, 13], Operations: ['22-19=3', '82-69=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 79, 25, 97, 64 ]
87
[ "79-25=54", "97-64=33", "54+33=87" ]
Current State: 87:[79, 25, 97, 64], Operations: [] Exploring Operation: 79-25=54, Resulting Numbers: [97, 64, 54] Generated Node #2: [97, 64, 54] from Operation: 79-25=54 Current State: 87:[97, 64, 54], Operations: ['79-25=54'] Exploring Operation: 97-64=33, Resulting Numbers: [54, 33] Generated Node #3: [54, 33] from Operation: 97-64=33 Current State: 87:[54, 33], Operations: ['79-25=54', '97-64=33'] Exploring Operation: 54+33=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 12, 17, 63, 80 ]
59
[ "80-12=68", "68/17=4", "63-4=59" ]
Current State: 59:[12, 17, 63, 80], Operations: [] Exploring Operation: 80-12=68, Resulting Numbers: [17, 63, 68] Generated Node #2: [17, 63, 68] from Operation: 80-12=68 Current State: 59:[17, 63, 68], Operations: ['80-12=68'] Exploring Operation: 68/17=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 68/17=4 Current State: 59:[63, 4], Operations: ['80-12=68', '68/17=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 93, 89, 88, 28 ]
56
[ "93-89=4", "88-28=60", "60-4=56" ]
Current State: 56:[93, 89, 88, 28], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [88, 28, 4] Generated Node #2: [88, 28, 4] from Operation: 93-89=4 Current State: 56:[88, 28, 4], Operations: ['93-89=4'] Exploring Operation: 88-28=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 88-28=60 Current State: 56:[4, 60], Operations: ['93-89=4', '88-28=60'] Exploring Operation: 60-4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 67, 77, 51, 13 ]
17
[ "77-67=10", "13-10=3", "51/3=17" ]
Current State: 17:[67, 77, 51, 13], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [51, 13, 10] Generated Node #2: [51, 13, 10] from Operation: 77-67=10 Current State: 17:[51, 13, 10], Operations: ['77-67=10'] Exploring Operation: 13-10=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 13-10=3 Current State: 17:[51, 3], Operations: ['77-67=10', '13-10=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 4, 30, 82 ]
47
[ "69-4=65", "30+82=112", "112-65=47" ]
Current State: 47:[69, 4, 30, 82], Operations: [] Exploring Operation: 69-4=65, Resulting Numbers: [30, 82, 65] Generated Node #2: [30, 82, 65] from Operation: 69-4=65 Current State: 47:[30, 82, 65], Operations: ['69-4=65'] Exploring Operation: 30+82=112, Resulting Numbers: [65, 112] Generated Node #3: [65, 112] from Operation: 30+82=112 Current State: 47:[65, 112], Operations: ['69-4=65', '30+82=112'] Exploring Operation: 112-65=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 26, 95, 80, 90 ]
79
[ "95-26=69", "90-80=10", "69+10=79" ]
Current State: 79:[26, 95, 80, 90], Operations: [] Exploring Operation: 95-26=69, Resulting Numbers: [80, 90, 69] Generated Node #2: [80, 90, 69] from Operation: 95-26=69 Current State: 79:[80, 90, 69], Operations: ['95-26=69'] Exploring Operation: 90-80=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 90-80=10 Current State: 79:[69, 10], Operations: ['95-26=69', '90-80=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 96, 20, 98 ]
95
[ "98-96=2", "20*2=40", "55+40=95" ]
Current State: 95:[55, 96, 20, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [55, 20, 2] Generated Node #2: [55, 20, 2] from Operation: 98-96=2 Current State: 95:[55, 20, 2], Operations: ['98-96=2'] Exploring Operation: 20*2=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 20*2=40 Current State: 95:[55, 40], Operations: ['98-96=2', '20*2=40'] Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 21, 38, 15 ]
99
[ "38-34=4", "21*4=84", "15+84=99" ]
Current State: 99:[34, 21, 38, 15], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [21, 15, 4] Generated Node #2: [21, 15, 4] from Operation: 38-34=4 Current State: 99:[21, 15, 4], Operations: ['38-34=4'] Exploring Operation: 21*4=84, Resulting Numbers: [15, 84] Generated Node #3: [15, 84] from Operation: 21*4=84 Current State: 99:[15, 84], Operations: ['38-34=4', '21*4=84'] Exploring Operation: 15+84=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 86, 97, 8, 12 ]
15
[ "97-86=11", "12-8=4", "11+4=15" ]
Current State: 15:[86, 97, 8, 12], Operations: [] Exploring Operation: 97-86=11, Resulting Numbers: [8, 12, 11] Generated Node #2: [8, 12, 11] from Operation: 97-86=11 Current State: 15:[8, 12, 11], Operations: ['97-86=11'] Exploring Operation: 12-8=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 12-8=4 Current State: 15:[11, 4], Operations: ['97-86=11', '12-8=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 66, 11, 3 ]
26
[ "1+66=67", "11+67=78", "78/3=26" ]
Current State: 26:[1, 66, 11, 3], Operations: [] Exploring Operation: 1+66=67, Resulting Numbers: [11, 3, 67] Generated Node #2: [11, 3, 67] from Operation: 1+66=67 Current State: 26:[11, 3, 67], Operations: ['1+66=67'] Exploring Operation: 11+67=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 11+67=78 Current State: 26:[3, 78], Operations: ['1+66=67', '11+67=78'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 42, 7, 35 ]
36
[ "35-5=30", "42/7=6", "30+6=36" ]
Current State: 36:[5, 42, 7, 35], Operations: [] Exploring Operation: 35-5=30, Resulting Numbers: [42, 7, 30] Generated Node #2: [42, 7, 30] from Operation: 35-5=30 Current State: 36:[42, 7, 30], Operations: ['35-5=30'] Exploring Operation: 42/7=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 42/7=6 Current State: 36:[30, 6], Operations: ['35-5=30', '42/7=6'] Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 95, 38, 66 ]
97
[ "10+66=76", "76/38=2", "95+2=97" ]
Current State: 97:[10, 95, 38, 66], Operations: [] Exploring Operation: 10+66=76, Resulting Numbers: [95, 38, 76] Generated Node #2: [95, 38, 76] from Operation: 10+66=76 Current State: 97:[95, 38, 76], Operations: ['10+66=76'] Exploring Operation: 76/38=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 76/38=2 Current State: 97:[95, 2], Operations: ['10+66=76', '76/38=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 63, 59, 51 ]
53
[ "63-2=61", "59-51=8", "61-8=53" ]
Current State: 53:[2, 63, 59, 51], Operations: [] Exploring Operation: 63-2=61, Resulting Numbers: [59, 51, 61] Generated Node #2: [59, 51, 61] from Operation: 63-2=61 Current State: 53:[59, 51, 61], Operations: ['63-2=61'] Exploring Operation: 59-51=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 59-51=8 Current State: 53:[61, 8], Operations: ['63-2=61', '59-51=8'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 63, 42, 4 ]
77
[ "77+63=140", "140/4=35", "42+35=77" ]
Current State: 77:[77, 63, 42, 4], Operations: [] Exploring Operation: 77+63=140, Resulting Numbers: [42, 4, 140] Generated Node #2: [42, 4, 140] from Operation: 77+63=140 Current State: 77:[42, 4, 140], Operations: ['77+63=140'] Exploring Operation: 140/4=35, Resulting Numbers: [42, 35] Generated Node #3: [42, 35] from Operation: 140/4=35 Current State: 77:[42, 35], Operations: ['77+63=140', '140/4=35'] Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 98, 99, 72, 96 ]
29
[ "98+99=197", "72+96=168", "197-168=29" ]
Current State: 29:[98, 99, 72, 96], Operations: [] Exploring Operation: 98+99=197, Resulting Numbers: [72, 96, 197] Generated Node #2: [72, 96, 197] from Operation: 98+99=197 Current State: 29:[72, 96, 197], Operations: ['98+99=197'] Exploring Operation: 72+96=168, Resulting Numbers: [197, 168] Generated Node #3: [197, 168] from Operation: 72+96=168 Current State: 29:[197, 168], Operations: ['98+99=197', '72+96=168'] Exploring Operation: 197-168=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 53, 51, 7, 34 ]
24
[ "53-51=2", "34/2=17", "7+17=24" ]
Current State: 24:[53, 51, 7, 34], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [7, 34, 2] Generated Node #2: [7, 34, 2] from Operation: 53-51=2 Current State: 24:[7, 34, 2], Operations: ['53-51=2'] Exploring Operation: 34/2=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 34/2=17 Current State: 24:[7, 17], Operations: ['53-51=2', '34/2=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 69, 57, 66 ]
99
[ "69-66=3", "14*3=42", "57+42=99" ]
Current State: 99:[14, 69, 57, 66], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [14, 57, 3] Generated Node #2: [14, 57, 3] from Operation: 69-66=3 Current State: 99:[14, 57, 3], Operations: ['69-66=3'] Exploring Operation: 14*3=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 14*3=42 Current State: 99:[57, 42], Operations: ['69-66=3', '14*3=42'] Exploring Operation: 57+42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 30, 66, 26, 48 ]
14
[ "66-30=36", "48-26=22", "36-22=14" ]
Current State: 14:[30, 66, 26, 48], Operations: [] Exploring Operation: 66-30=36, Resulting Numbers: [26, 48, 36] Generated Node #2: [26, 48, 36] from Operation: 66-30=36 Current State: 14:[26, 48, 36], Operations: ['66-30=36'] Exploring Operation: 48-26=22, Resulting Numbers: [36, 22] Generated Node #3: [36, 22] from Operation: 48-26=22 Current State: 14:[36, 22], Operations: ['66-30=36', '48-26=22'] Exploring Operation: 36-22=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 1, 2, 19, 56 ]
75
[ "2-1=1", "19+56=75", "1*75=75" ]
Current State: 75:[1, 2, 19, 56], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [19, 56, 1] Generated Node #2: [19, 56, 1] from Operation: 2-1=1 Current State: 75:[19, 56, 1], Operations: ['2-1=1'] Exploring Operation: 19+56=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 19+56=75 Current State: 75:[1, 75], Operations: ['2-1=1', '19+56=75'] Exploring Operation: 1*75=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 39, 70, 35, 20 ]
21
[ "39-20=19", "70/35=2", "19+2=21" ]
Current State: 21:[39, 70, 35, 20], Operations: [] Exploring Operation: 39-20=19, Resulting Numbers: [70, 35, 19] Generated Node #2: [70, 35, 19] from Operation: 39-20=19 Current State: 21:[70, 35, 19], Operations: ['39-20=19'] Exploring Operation: 70/35=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 70/35=2 Current State: 21:[19, 2], Operations: ['39-20=19', '70/35=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 43, 84, 64, 55 ]
78
[ "84-43=41", "64+55=119", "119-41=78" ]
Current State: 78:[43, 84, 64, 55], Operations: [] Exploring Operation: 84-43=41, Resulting Numbers: [64, 55, 41] Generated Node #2: [64, 55, 41] from Operation: 84-43=41 Current State: 78:[64, 55, 41], Operations: ['84-43=41'] Exploring Operation: 64+55=119, Resulting Numbers: [41, 119] Generated Node #3: [41, 119] from Operation: 64+55=119 Current State: 78:[41, 119], Operations: ['84-43=41', '64+55=119'] Exploring Operation: 119-41=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 61, 56, 42 ]
41
[ "88-61=27", "56-42=14", "27+14=41" ]
Current State: 41:[88, 61, 56, 42], Operations: [] Exploring Operation: 88-61=27, Resulting Numbers: [56, 42, 27] Generated Node #2: [56, 42, 27] from Operation: 88-61=27 Current State: 41:[56, 42, 27], Operations: ['88-61=27'] Exploring Operation: 56-42=14, Resulting Numbers: [27, 14] Generated Node #3: [27, 14] from Operation: 56-42=14 Current State: 41:[27, 14], Operations: ['88-61=27', '56-42=14'] Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 44, 49, 6 ]
63
[ "49-44=5", "6*5=30", "33+30=63" ]
Current State: 63:[33, 44, 49, 6], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [33, 6, 5] Generated Node #2: [33, 6, 5] from Operation: 49-44=5 Current State: 63:[33, 6, 5], Operations: ['49-44=5'] Exploring Operation: 6*5=30, Resulting Numbers: [33, 30] Generated Node #3: [33, 30] from Operation: 6*5=30 Current State: 63:[33, 30], Operations: ['49-44=5', '6*5=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 94, 11, 93, 83 ]
28
[ "94-83=11", "11*11=121", "121-93=28" ]
Current State: 28:[94, 11, 93, 83], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [11, 93, 11] Generated Node #2: [11, 93, 11] from Operation: 94-83=11 Current State: 28:[11, 93, 11], Operations: ['94-83=11'] Exploring Operation: 11*11=121, Resulting Numbers: [93, 121] Generated Node #3: [93, 121] from Operation: 11*11=121 Current State: 28:[93, 121], Operations: ['94-83=11', '11*11=121'] Exploring Operation: 121-93=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 9, 15, 8, 2 ]
24
[ "15-9=6", "8/2=4", "6*4=24" ]
Current State: 24:[9, 15, 8, 2], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [8, 2, 6] Generated Node #2: [8, 2, 6] from Operation: 15-9=6 Current State: 24:[8, 2, 6], Operations: ['15-9=6'] Exploring Operation: 8/2=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 8/2=4 Current State: 24:[6, 4], Operations: ['15-9=6', '8/2=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 73, 42, 63 ]
76
[ "73+63=136", "136/4=34", "42+34=76" ]
Current State: 76:[4, 73, 42, 63], Operations: [] Exploring Operation: 73+63=136, Resulting Numbers: [4, 42, 136] Generated Node #2: [4, 42, 136] from Operation: 73+63=136 Current State: 76:[4, 42, 136], Operations: ['73+63=136'] Exploring Operation: 136/4=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 136/4=34 Current State: 76:[42, 34], Operations: ['73+63=136', '136/4=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 96, 58, 66 ]
79
[ "96-9=87", "66-58=8", "87-8=79" ]
Current State: 79:[9, 96, 58, 66], Operations: [] Exploring Operation: 96-9=87, Resulting Numbers: [58, 66, 87] Generated Node #2: [58, 66, 87] from Operation: 96-9=87 Current State: 79:[58, 66, 87], Operations: ['96-9=87'] Exploring Operation: 66-58=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 66-58=8 Current State: 79:[87, 8], Operations: ['96-9=87', '66-58=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 86, 95, 36 ]
88
[ "95-77=18", "36/18=2", "86+2=88" ]
Current State: 88:[77, 86, 95, 36], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [86, 36, 18] Generated Node #2: [86, 36, 18] from Operation: 95-77=18 Current State: 88:[86, 36, 18], Operations: ['95-77=18'] Exploring Operation: 36/18=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 36/18=2 Current State: 88:[86, 2], Operations: ['95-77=18', '36/18=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 7, 56, 5, 33 ]
64
[ "7+33=40", "40/5=8", "56+8=64" ]
Current State: 64:[7, 56, 5, 33], Operations: [] Exploring Operation: 7+33=40, Resulting Numbers: [56, 5, 40] Generated Node #2: [56, 5, 40] from Operation: 7+33=40 Current State: 64:[56, 5, 40], Operations: ['7+33=40'] Exploring Operation: 40/5=8, Resulting Numbers: [56, 8] Generated Node #3: [56, 8] from Operation: 40/5=8 Current State: 64:[56, 8], Operations: ['7+33=40', '40/5=8'] Exploring Operation: 56+8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 32, 98, 33 ]
54
[ "32-21=11", "98-33=65", "65-11=54" ]
Current State: 54:[21, 32, 98, 33], Operations: [] Exploring Operation: 32-21=11, Resulting Numbers: [98, 33, 11] Generated Node #2: [98, 33, 11] from Operation: 32-21=11 Current State: 54:[98, 33, 11], Operations: ['32-21=11'] Exploring Operation: 98-33=65, Resulting Numbers: [11, 65] Generated Node #3: [11, 65] from Operation: 98-33=65 Current State: 54:[11, 65], Operations: ['32-21=11', '98-33=65'] Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 40, 45, 64, 73 ]
52
[ "40+45=85", "64+73=137", "137-85=52" ]
Current State: 52:[40, 45, 64, 73], Operations: [] Exploring Operation: 40+45=85, Resulting Numbers: [64, 73, 85] Generated Node #2: [64, 73, 85] from Operation: 40+45=85 Current State: 52:[64, 73, 85], Operations: ['40+45=85'] Exploring Operation: 64+73=137, Resulting Numbers: [85, 137] Generated Node #3: [85, 137] from Operation: 64+73=137 Current State: 52:[85, 137], Operations: ['40+45=85', '64+73=137'] Exploring Operation: 137-85=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 75, 8, 76, 96 ]
87
[ "75-8=67", "96-76=20", "67+20=87" ]
Current State: 87:[75, 8, 76, 96], Operations: [] Exploring Operation: 75-8=67, Resulting Numbers: [76, 96, 67] Generated Node #2: [76, 96, 67] from Operation: 75-8=67 Current State: 87:[76, 96, 67], Operations: ['75-8=67'] Exploring Operation: 96-76=20, Resulting Numbers: [67, 20] Generated Node #3: [67, 20] from Operation: 96-76=20 Current State: 87:[67, 20], Operations: ['75-8=67', '96-76=20'] Exploring Operation: 67+20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 52, 29, 32 ]
32
[ "52-32=20", "60/20=3", "29+3=32" ]
Current State: 32:[60, 52, 29, 32], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [60, 29, 20] Generated Node #2: [60, 29, 20] from Operation: 52-32=20 Current State: 32:[60, 29, 20], Operations: ['52-32=20'] Exploring Operation: 60/20=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 60/20=3 Current State: 32:[29, 3], Operations: ['52-32=20', '60/20=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 88, 7, 39 ]
47
[ "88-73=15", "39-7=32", "15+32=47" ]
Current State: 47:[73, 88, 7, 39], Operations: [] Exploring Operation: 88-73=15, Resulting Numbers: [7, 39, 15] Generated Node #2: [7, 39, 15] from Operation: 88-73=15 Current State: 47:[7, 39, 15], Operations: ['88-73=15'] Exploring Operation: 39-7=32, Resulting Numbers: [15, 32] Generated Node #3: [15, 32] from Operation: 39-7=32 Current State: 47:[15, 32], Operations: ['88-73=15', '39-7=32'] Exploring Operation: 15+32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 79, 20, 93 ]
80
[ "10+79=89", "93-89=4", "20*4=80" ]
Current State: 80:[10, 79, 20, 93], Operations: [] Exploring Operation: 10+79=89, Resulting Numbers: [20, 93, 89] Generated Node #2: [20, 93, 89] from Operation: 10+79=89 Current State: 80:[20, 93, 89], Operations: ['10+79=89'] Exploring Operation: 93-89=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 93-89=4 Current State: 80:[20, 4], Operations: ['10+79=89', '93-89=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 76, 95, 75 ]
24
[ "76+95=171", "171-75=96", "96/4=24" ]
Current State: 24:[4, 76, 95, 75], Operations: [] Exploring Operation: 76+95=171, Resulting Numbers: [4, 75, 171] Generated Node #2: [4, 75, 171] from Operation: 76+95=171 Current State: 24:[4, 75, 171], Operations: ['76+95=171'] Exploring Operation: 171-75=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 171-75=96 Current State: 24:[4, 96], Operations: ['76+95=171', '171-75=96'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 44, 33, 99 ]
89
[ "15*99=1485", "1485/33=45", "44+45=89" ]
Current State: 89:[15, 44, 33, 99], Operations: [] Exploring Operation: 15*99=1485, Resulting Numbers: [44, 33, 1485] Generated Node #2: [44, 33, 1485] from Operation: 15*99=1485 Current State: 89:[44, 33, 1485], Operations: ['15*99=1485'] Exploring Operation: 1485/33=45, Resulting Numbers: [44, 45] Generated Node #3: [44, 45] from Operation: 1485/33=45 Current State: 89:[44, 45], Operations: ['15*99=1485', '1485/33=45'] Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 28, 26, 34 ]
88
[ "40*26=1040", "28*34=952", "1040-952=88" ]
Current State: 88:[40, 28, 26, 34], Operations: [] Exploring Operation: 40*26=1040, Resulting Numbers: [28, 34, 1040] Generated Node #2: [28, 34, 1040] from Operation: 40*26=1040 Current State: 88:[28, 34, 1040], Operations: ['40*26=1040'] Exploring Operation: 28*34=952, Resulting Numbers: [1040, 952] Generated Node #3: [1040, 952] from Operation: 28*34=952 Current State: 88:[1040, 952], Operations: ['40*26=1040', '28*34=952'] Exploring Operation: 1040-952=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 70, 20, 30, 35 ]
28
[ "30-20=10", "70/10=7", "35-7=28" ]
Current State: 28:[70, 20, 30, 35], Operations: [] Exploring Operation: 30-20=10, Resulting Numbers: [70, 35, 10] Generated Node #2: [70, 35, 10] from Operation: 30-20=10 Current State: 28:[70, 35, 10], Operations: ['30-20=10'] Exploring Operation: 70/10=7, Resulting Numbers: [35, 7] Generated Node #3: [35, 7] from Operation: 70/10=7 Current State: 28:[35, 7], Operations: ['30-20=10', '70/10=7'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 9, 4, 86, 11 ]
61
[ "9*4=36", "86+11=97", "97-36=61" ]
Current State: 61:[9, 4, 86, 11], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [86, 11, 36] Generated Node #2: [86, 11, 36] from Operation: 9*4=36 Current State: 61:[86, 11, 36], Operations: ['9*4=36'] Exploring Operation: 86+11=97, Resulting Numbers: [36, 97] Generated Node #3: [36, 97] from Operation: 86+11=97 Current State: 61:[36, 97], Operations: ['9*4=36', '86+11=97'] Exploring Operation: 97-36=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 41, 72, 37, 63 ]
81
[ "41-37=4", "72/4=18", "63+18=81" ]
Current State: 81:[41, 72, 37, 63], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [72, 63, 4] Generated Node #2: [72, 63, 4] from Operation: 41-37=4 Current State: 81:[72, 63, 4], Operations: ['41-37=4'] Exploring Operation: 72/4=18, Resulting Numbers: [63, 18] Generated Node #3: [63, 18] from Operation: 72/4=18 Current State: 81:[63, 18], Operations: ['41-37=4', '72/4=18'] Exploring Operation: 63+18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 37, 99, 28 ]
83
[ "7+37=44", "99+28=127", "127-44=83" ]
Current State: 83:[7, 37, 99, 28], Operations: [] Exploring Operation: 7+37=44, Resulting Numbers: [99, 28, 44] Generated Node #2: [99, 28, 44] from Operation: 7+37=44 Current State: 83:[99, 28, 44], Operations: ['7+37=44'] Exploring Operation: 99+28=127, Resulting Numbers: [44, 127] Generated Node #3: [44, 127] from Operation: 99+28=127 Current State: 83:[44, 127], Operations: ['7+37=44', '99+28=127'] Exploring Operation: 127-44=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 11, 56, 7, 8 ]
38
[ "56*7=392", "392/8=49", "49-11=38" ]
Current State: 38:[11, 56, 7, 8], Operations: [] Exploring Operation: 56*7=392, Resulting Numbers: [11, 8, 392] Generated Node #2: [11, 8, 392] from Operation: 56*7=392 Current State: 38:[11, 8, 392], Operations: ['56*7=392'] Exploring Operation: 392/8=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 392/8=49 Current State: 38:[11, 49], Operations: ['56*7=392', '392/8=49'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 51, 8, 68 ]
71
[ "68-8=60", "60/3=20", "51+20=71" ]
Current State: 71:[3, 51, 8, 68], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [3, 51, 60] Generated Node #2: [3, 51, 60] from Operation: 68-8=60 Current State: 71:[3, 51, 60], Operations: ['68-8=60'] Exploring Operation: 60/3=20, Resulting Numbers: [51, 20] Generated Node #3: [51, 20] from Operation: 60/3=20 Current State: 71:[51, 20], Operations: ['68-8=60', '60/3=20'] Exploring Operation: 51+20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 10, 54, 21 ]
66
[ "54/9=6", "21-10=11", "6*11=66" ]
Current State: 66:[9, 10, 54, 21], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [10, 21, 6] Generated Node #2: [10, 21, 6] from Operation: 54/9=6 Current State: 66:[10, 21, 6], Operations: ['54/9=6'] Exploring Operation: 21-10=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 21-10=11 Current State: 66:[6, 11], Operations: ['54/9=6', '21-10=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 8, 49, 48, 63 ]
34
[ "49+63=112", "112/8=14", "48-14=34" ]
Current State: 34:[8, 49, 48, 63], Operations: [] Exploring Operation: 49+63=112, Resulting Numbers: [8, 48, 112] Generated Node #2: [8, 48, 112] from Operation: 49+63=112 Current State: 34:[8, 48, 112], Operations: ['49+63=112'] Exploring Operation: 112/8=14, Resulting Numbers: [48, 14] Generated Node #3: [48, 14] from Operation: 112/8=14 Current State: 34:[48, 14], Operations: ['49+63=112', '112/8=14'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 34, 51, 1, 96 ]
12
[ "34+51=85", "1+96=97", "97-85=12" ]
Current State: 12:[34, 51, 1, 96], Operations: [] Exploring Operation: 34+51=85, Resulting Numbers: [1, 96, 85] Generated Node #2: [1, 96, 85] from Operation: 34+51=85 Current State: 12:[1, 96, 85], Operations: ['34+51=85'] Exploring Operation: 1+96=97, Resulting Numbers: [85, 97] Generated Node #3: [85, 97] from Operation: 1+96=97 Current State: 12:[85, 97], Operations: ['34+51=85', '1+96=97'] Exploring Operation: 97-85=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 21, 88, 24 ]
87
[ "2+21=23", "88-24=64", "23+64=87" ]
Current State: 87:[2, 21, 88, 24], Operations: [] Exploring Operation: 2+21=23, Resulting Numbers: [88, 24, 23] Generated Node #2: [88, 24, 23] from Operation: 2+21=23 Current State: 87:[88, 24, 23], Operations: ['2+21=23'] Exploring Operation: 88-24=64, Resulting Numbers: [23, 64] Generated Node #3: [23, 64] from Operation: 88-24=64 Current State: 87:[23, 64], Operations: ['2+21=23', '88-24=64'] Exploring Operation: 23+64=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 13, 31, 49, 85 ]
87
[ "13+49=62", "62/31=2", "85+2=87" ]
Current State: 87:[13, 31, 49, 85], Operations: [] Exploring Operation: 13+49=62, Resulting Numbers: [31, 85, 62] Generated Node #2: [31, 85, 62] from Operation: 13+49=62 Current State: 87:[31, 85, 62], Operations: ['13+49=62'] Exploring Operation: 62/31=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 62/31=2 Current State: 87:[85, 2], Operations: ['13+49=62', '62/31=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 23, 24, 5 ]
99
[ "38-23=15", "5*15=75", "24+75=99" ]
Current State: 99:[38, 23, 24, 5], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [24, 5, 15] Generated Node #2: [24, 5, 15] from Operation: 38-23=15 Current State: 99:[24, 5, 15], Operations: ['38-23=15'] Exploring Operation: 5*15=75, Resulting Numbers: [24, 75] Generated Node #3: [24, 75] from Operation: 5*15=75 Current State: 99:[24, 75], Operations: ['38-23=15', '5*15=75'] Exploring Operation: 24+75=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 24, 2, 83, 32 ]
89
[ "24+2=26", "83+32=115", "115-26=89" ]
Current State: 89:[24, 2, 83, 32], Operations: [] Exploring Operation: 24+2=26, Resulting Numbers: [83, 32, 26] Generated Node #2: [83, 32, 26] from Operation: 24+2=26 Current State: 89:[83, 32, 26], Operations: ['24+2=26'] Exploring Operation: 83+32=115, Resulting Numbers: [26, 115] Generated Node #3: [26, 115] from Operation: 83+32=115 Current State: 89:[26, 115], Operations: ['24+2=26', '83+32=115'] Exploring Operation: 115-26=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 75, 43, 51, 19 ]
48
[ "75+43=118", "51+19=70", "118-70=48" ]
Current State: 48:[75, 43, 51, 19], Operations: [] Exploring Operation: 75+43=118, Resulting Numbers: [51, 19, 118] Generated Node #2: [51, 19, 118] from Operation: 75+43=118 Current State: 48:[51, 19, 118], Operations: ['75+43=118'] Exploring Operation: 51+19=70, Resulting Numbers: [118, 70] Generated Node #3: [118, 70] from Operation: 51+19=70 Current State: 48:[118, 70], Operations: ['75+43=118', '51+19=70'] Exploring Operation: 118-70=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 81, 84, 53, 42 ]
73
[ "84-81=3", "42*3=126", "126-53=73" ]
Current State: 73:[81, 84, 53, 42], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [53, 42, 3] Generated Node #2: [53, 42, 3] from Operation: 84-81=3 Current State: 73:[53, 42, 3], Operations: ['84-81=3'] Exploring Operation: 42*3=126, Resulting Numbers: [53, 126] Generated Node #3: [53, 126] from Operation: 42*3=126 Current State: 73:[53, 126], Operations: ['84-81=3', '42*3=126'] Exploring Operation: 126-53=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 1, 84, 2 ]
38
[ "64+1=65", "84-65=19", "2*19=38" ]
Current State: 38:[64, 1, 84, 2], Operations: [] Exploring Operation: 64+1=65, Resulting Numbers: [84, 2, 65] Generated Node #2: [84, 2, 65] from Operation: 64+1=65 Current State: 38:[84, 2, 65], Operations: ['64+1=65'] Exploring Operation: 84-65=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 84-65=19 Current State: 38:[2, 19], Operations: ['64+1=65', '84-65=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 80, 99, 75, 96 ]
15
[ "80-75=5", "99-96=3", "5*3=15" ]
Current State: 15:[80, 99, 75, 96], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [99, 96, 5] Generated Node #2: [99, 96, 5] from Operation: 80-75=5 Current State: 15:[99, 96, 5], Operations: ['80-75=5'] Exploring Operation: 99-96=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 99-96=3 Current State: 15:[5, 3], Operations: ['80-75=5', '99-96=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 13, 45, 55 ]
99
[ "13+45=58", "58-55=3", "33*3=99" ]
Current State: 99:[33, 13, 45, 55], Operations: [] Exploring Operation: 13+45=58, Resulting Numbers: [33, 55, 58] Generated Node #2: [33, 55, 58] from Operation: 13+45=58 Current State: 99:[33, 55, 58], Operations: ['13+45=58'] Exploring Operation: 58-55=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 58-55=3 Current State: 99:[33, 3], Operations: ['13+45=58', '58-55=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 23, 72, 4, 68 ]
58
[ "72+68=140", "140/4=35", "23+35=58" ]
Current State: 58:[23, 72, 4, 68], Operations: [] Exploring Operation: 72+68=140, Resulting Numbers: [23, 4, 140] Generated Node #2: [23, 4, 140] from Operation: 72+68=140 Current State: 58:[23, 4, 140], Operations: ['72+68=140'] Exploring Operation: 140/4=35, Resulting Numbers: [23, 35] Generated Node #3: [23, 35] from Operation: 140/4=35 Current State: 58:[23, 35], Operations: ['72+68=140', '140/4=35'] Exploring Operation: 23+35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 76, 61, 13, 16 ]
14
[ "76-61=15", "13+16=29", "29-15=14" ]
Current State: 14:[76, 61, 13, 16], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [13, 16, 15] Generated Node #2: [13, 16, 15] from Operation: 76-61=15 Current State: 14:[13, 16, 15], Operations: ['76-61=15'] Exploring Operation: 13+16=29, Resulting Numbers: [15, 29] Generated Node #3: [15, 29] from Operation: 13+16=29 Current State: 14:[15, 29], Operations: ['76-61=15', '13+16=29'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 85, 36, 81 ]
52
[ "85-20=65", "36+81=117", "117-65=52" ]
Current State: 52:[20, 85, 36, 81], Operations: [] Exploring Operation: 85-20=65, Resulting Numbers: [36, 81, 65] Generated Node #2: [36, 81, 65] from Operation: 85-20=65 Current State: 52:[36, 81, 65], Operations: ['85-20=65'] Exploring Operation: 36+81=117, Resulting Numbers: [65, 117] Generated Node #3: [65, 117] from Operation: 36+81=117 Current State: 52:[65, 117], Operations: ['85-20=65', '36+81=117'] Exploring Operation: 117-65=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 77, 9, 63 ]
61
[ "77/11=7", "63-9=54", "7+54=61" ]
Current State: 61:[11, 77, 9, 63], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [9, 63, 7] Generated Node #2: [9, 63, 7] from Operation: 77/11=7 Current State: 61:[9, 63, 7], Operations: ['77/11=7'] Exploring Operation: 63-9=54, Resulting Numbers: [7, 54] Generated Node #3: [7, 54] from Operation: 63-9=54 Current State: 61:[7, 54], Operations: ['77/11=7', '63-9=54'] Exploring Operation: 7+54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 7, 98, 13 ]
35
[ "13-4=9", "7*9=63", "98-63=35" ]
Current State: 35:[4, 7, 98, 13], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [7, 98, 9] Generated Node #2: [7, 98, 9] from Operation: 13-4=9 Current State: 35:[7, 98, 9], Operations: ['13-4=9'] Exploring Operation: 7*9=63, Resulting Numbers: [98, 63] Generated Node #3: [98, 63] from Operation: 7*9=63 Current State: 35:[98, 63], Operations: ['13-4=9', '7*9=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 28, 61, 23, 38 ]
18
[ "61-28=33", "38-23=15", "33-15=18" ]
Current State: 18:[28, 61, 23, 38], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [23, 38, 33] Generated Node #2: [23, 38, 33] from Operation: 61-28=33 Current State: 18:[23, 38, 33], Operations: ['61-28=33'] Exploring Operation: 38-23=15, Resulting Numbers: [33, 15] Generated Node #3: [33, 15] from Operation: 38-23=15 Current State: 18:[33, 15], Operations: ['61-28=33', '38-23=15'] Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 42, 40, 11 ]
61
[ "42-40=2", "11*2=22", "83-22=61" ]
Current State: 61:[83, 42, 40, 11], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [83, 11, 2] Generated Node #2: [83, 11, 2] from Operation: 42-40=2 Current State: 61:[83, 11, 2], Operations: ['42-40=2'] Exploring Operation: 11*2=22, Resulting Numbers: [83, 22] Generated Node #3: [83, 22] from Operation: 11*2=22 Current State: 61:[83, 22], Operations: ['42-40=2', '11*2=22'] Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 33, 51, 10, 7 ]
48
[ "10-7=3", "33*3=99", "99-51=48" ]
Current State: 48:[33, 51, 10, 7], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [33, 51, 3] Generated Node #2: [33, 51, 3] from Operation: 10-7=3 Current State: 48:[33, 51, 3], Operations: ['10-7=3'] Exploring Operation: 33*3=99, Resulting Numbers: [51, 99] Generated Node #3: [51, 99] from Operation: 33*3=99 Current State: 48:[51, 99], Operations: ['10-7=3', '33*3=99'] Exploring Operation: 99-51=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 72, 4, 43, 90 ]
65
[ "72-4=68", "43+90=133", "133-68=65" ]
Current State: 65:[72, 4, 43, 90], Operations: [] Exploring Operation: 72-4=68, Resulting Numbers: [43, 90, 68] Generated Node #2: [43, 90, 68] from Operation: 72-4=68 Current State: 65:[43, 90, 68], Operations: ['72-4=68'] Exploring Operation: 43+90=133, Resulting Numbers: [68, 133] Generated Node #3: [68, 133] from Operation: 43+90=133 Current State: 65:[68, 133], Operations: ['72-4=68', '43+90=133'] Exploring Operation: 133-68=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 81, 47, 2, 56 ]
12
[ "81-47=34", "2*34=68", "68-56=12" ]
Current State: 12:[81, 47, 2, 56], Operations: [] Exploring Operation: 81-47=34, Resulting Numbers: [2, 56, 34] Generated Node #2: [2, 56, 34] from Operation: 81-47=34 Current State: 12:[2, 56, 34], Operations: ['81-47=34'] Exploring Operation: 2*34=68, Resulting Numbers: [56, 68] Generated Node #3: [56, 68] from Operation: 2*34=68 Current State: 12:[56, 68], Operations: ['81-47=34', '2*34=68'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 58, 69, 73, 1 ]
54
[ "58+69=127", "73*1=73", "127-73=54" ]
Current State: 54:[58, 69, 73, 1], Operations: [] Exploring Operation: 58+69=127, Resulting Numbers: [73, 1, 127] Generated Node #2: [73, 1, 127] from Operation: 58+69=127 Current State: 54:[73, 1, 127], Operations: ['58+69=127'] Exploring Operation: 73*1=73, Resulting Numbers: [127, 73] Generated Node #3: [127, 73] from Operation: 73*1=73 Current State: 54:[127, 73], Operations: ['58+69=127', '73*1=73'] Exploring Operation: 127-73=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 66, 28, 73 ]
67
[ "66-44=22", "73-28=45", "22+45=67" ]
Current State: 67:[44, 66, 28, 73], Operations: [] Exploring Operation: 66-44=22, Resulting Numbers: [28, 73, 22] Generated Node #2: [28, 73, 22] from Operation: 66-44=22 Current State: 67:[28, 73, 22], Operations: ['66-44=22'] Exploring Operation: 73-28=45, Resulting Numbers: [22, 45] Generated Node #3: [22, 45] from Operation: 73-28=45 Current State: 67:[22, 45], Operations: ['66-44=22', '73-28=45'] Exploring Operation: 22+45=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 22, 97, 50, 5 ]
37
[ "22*5=110", "97+50=147", "147-110=37" ]
Current State: 37:[22, 97, 50, 5], Operations: [] Exploring Operation: 22*5=110, Resulting Numbers: [97, 50, 110] Generated Node #2: [97, 50, 110] from Operation: 22*5=110 Current State: 37:[97, 50, 110], Operations: ['22*5=110'] Exploring Operation: 97+50=147, Resulting Numbers: [110, 147] Generated Node #3: [110, 147] from Operation: 97+50=147 Current State: 37:[110, 147], Operations: ['22*5=110', '97+50=147'] Exploring Operation: 147-110=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 52, 20, 73 ]
96
[ "52+20=72", "73-72=1", "96*1=96" ]
Current State: 96:[96, 52, 20, 73], Operations: [] Exploring Operation: 52+20=72, Resulting Numbers: [96, 73, 72] Generated Node #2: [96, 73, 72] from Operation: 52+20=72 Current State: 96:[96, 73, 72], Operations: ['52+20=72'] Exploring Operation: 73-72=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 73-72=1 Current State: 96:[96, 1], Operations: ['52+20=72', '73-72=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 50, 74, 49 ]
51
[ "98+50=148", "148/74=2", "49+2=51" ]
Current State: 51:[98, 50, 74, 49], Operations: [] Exploring Operation: 98+50=148, Resulting Numbers: [74, 49, 148] Generated Node #2: [74, 49, 148] from Operation: 98+50=148 Current State: 51:[74, 49, 148], Operations: ['98+50=148'] Exploring Operation: 148/74=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 148/74=2 Current State: 51:[49, 2], Operations: ['98+50=148', '148/74=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 86, 69, 61 ]
92
[ "86-48=38", "69+61=130", "130-38=92" ]
Current State: 92:[48, 86, 69, 61], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [69, 61, 38] Generated Node #2: [69, 61, 38] from Operation: 86-48=38 Current State: 92:[69, 61, 38], Operations: ['86-48=38'] Exploring Operation: 69+61=130, Resulting Numbers: [38, 130] Generated Node #3: [38, 130] from Operation: 69+61=130 Current State: 92:[38, 130], Operations: ['86-48=38', '69+61=130'] Exploring Operation: 130-38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 51, 38, 91 ]
99
[ "51-46=5", "38*5=190", "190-91=99" ]
Current State: 99:[46, 51, 38, 91], Operations: [] Exploring Operation: 51-46=5, Resulting Numbers: [38, 91, 5] Generated Node #2: [38, 91, 5] from Operation: 51-46=5 Current State: 99:[38, 91, 5], Operations: ['51-46=5'] Exploring Operation: 38*5=190, Resulting Numbers: [91, 190] Generated Node #3: [91, 190] from Operation: 38*5=190 Current State: 99:[91, 190], Operations: ['51-46=5', '38*5=190'] Exploring Operation: 190-91=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 40, 32, 11 ]
75
[ "40/20=2", "32*2=64", "11+64=75" ]
Current State: 75:[20, 40, 32, 11], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [32, 11, 2] Generated Node #2: [32, 11, 2] from Operation: 40/20=2 Current State: 75:[32, 11, 2], Operations: ['40/20=2'] Exploring Operation: 32*2=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 32*2=64 Current State: 75:[11, 64], Operations: ['40/20=2', '32*2=64'] Exploring Operation: 11+64=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 2, 42, 2 ]
76
[ "35+42=77", "2/2=1", "77-1=76" ]
Current State: 76:[35, 2, 42, 2], Operations: [] Exploring Operation: 35+42=77, Resulting Numbers: [2, 2, 77] Generated Node #2: [2, 2, 77] from Operation: 35+42=77 Current State: 76:[2, 2, 77], Operations: ['35+42=77'] Exploring Operation: 2/2=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 2/2=1 Current State: 76:[77, 1], Operations: ['35+42=77', '2/2=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 70, 59, 79 ]
85
[ "70-5=65", "79-59=20", "65+20=85" ]
Current State: 85:[5, 70, 59, 79], Operations: [] Exploring Operation: 70-5=65, Resulting Numbers: [59, 79, 65] Generated Node #2: [59, 79, 65] from Operation: 70-5=65 Current State: 85:[59, 79, 65], Operations: ['70-5=65'] Exploring Operation: 79-59=20, Resulting Numbers: [65, 20] Generated Node #3: [65, 20] from Operation: 79-59=20 Current State: 85:[65, 20], Operations: ['70-5=65', '79-59=20'] Exploring Operation: 65+20=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 67, 82, 26, 24 ]
17
[ "82-67=15", "26-24=2", "15+2=17" ]
Current State: 17:[67, 82, 26, 24], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [26, 24, 15] Generated Node #2: [26, 24, 15] from Operation: 82-67=15 Current State: 17:[26, 24, 15], Operations: ['82-67=15'] Exploring Operation: 26-24=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 26-24=2 Current State: 17:[15, 2], Operations: ['82-67=15', '26-24=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 46, 42, 53, 10 ]
45
[ "46+42=88", "53-10=43", "88-43=45" ]
Current State: 45:[46, 42, 53, 10], Operations: [] Exploring Operation: 46+42=88, Resulting Numbers: [53, 10, 88] Generated Node #2: [53, 10, 88] from Operation: 46+42=88 Current State: 45:[53, 10, 88], Operations: ['46+42=88'] Exploring Operation: 53-10=43, Resulting Numbers: [88, 43] Generated Node #3: [88, 43] from Operation: 53-10=43 Current State: 45:[88, 43], Operations: ['46+42=88', '53-10=43'] Exploring Operation: 88-43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 87, 84, 22, 32 ]
51
[ "87-84=3", "22+32=54", "54-3=51" ]
Current State: 51:[87, 84, 22, 32], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [22, 32, 3] Generated Node #2: [22, 32, 3] from Operation: 87-84=3 Current State: 51:[22, 32, 3], Operations: ['87-84=3'] Exploring Operation: 22+32=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 22+32=54 Current State: 51:[3, 54], Operations: ['87-84=3', '22+32=54'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4