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
[ 66, 52, 73, 16 ]
43
[ "66-52=14", "73-16=57", "57-14=43" ]
Current State: 43:[66, 52, 73, 16], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [73, 16, 14] Generated Node #2: [73, 16, 14] from Operation: 66-52=14 Current State: 43:[73, 16, 14], Operations: ['66-52=14'] Exploring Operation: 73-16=57, Resulting Numbers: [14, 57] Generated Node #3: [14, 57] from Operation: 73-16=57 Current State: 43:[14, 57], Operations: ['66-52=14', '73-16=57'] Exploring Operation: 57-14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 88, 92, 4, 23 ]
39
[ "92-88=4", "4*4=16", "23+16=39" ]
Current State: 39:[88, 92, 4, 23], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [4, 23, 4] Generated Node #2: [4, 23, 4] from Operation: 92-88=4 Current State: 39:[4, 23, 4], Operations: ['92-88=4'] Exploring Operation: 4*4=16, Resulting Numbers: [23, 16] Generated Node #3: [23, 16] from Operation: 4*4=16 Current State: 39:[23, 16], Operations: ['92-88=4', '4*4=16'] Exploring Operation: 23+16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 83, 96, 46 ]
81
[ "83-52=31", "96-46=50", "31+50=81" ]
Current State: 81:[52, 83, 96, 46], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [96, 46, 31] Generated Node #2: [96, 46, 31] from Operation: 83-52=31 Current State: 81:[96, 46, 31], Operations: ['83-52=31'] Exploring Operation: 96-46=50, Resulting Numbers: [31, 50] Generated Node #3: [31, 50] from Operation: 96-46=50 Current State: 81:[31, 50], Operations: ['83-52=31', '96-46=50'] Exploring Operation: 31+50=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 78, 70, 48, 4 ]
80
[ "78-70=8", "4*8=32", "48+32=80" ]
Current State: 80:[78, 70, 48, 4], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [48, 4, 8] Generated Node #2: [48, 4, 8] from Operation: 78-70=8 Current State: 80:[48, 4, 8], Operations: ['78-70=8'] Exploring Operation: 4*8=32, Resulting Numbers: [48, 32] Generated Node #3: [48, 32] from Operation: 4*8=32 Current State: 80:[48, 32], Operations: ['78-70=8', '4*8=32'] Exploring Operation: 48+32=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 17, 35, 46 ]
52
[ "46-45=1", "17+35=52", "1*52=52" ]
Current State: 52:[45, 17, 35, 46], Operations: [] Exploring Operation: 46-45=1, Resulting Numbers: [17, 35, 1] Generated Node #2: [17, 35, 1] from Operation: 46-45=1 Current State: 52:[17, 35, 1], Operations: ['46-45=1'] Exploring Operation: 17+35=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 17+35=52 Current State: 52:[1, 52], Operations: ['46-45=1', '17+35=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 87, 9, 17, 96 ]
18
[ "87+9=96", "96/96=1", "17+1=18" ]
Current State: 18:[87, 9, 17, 96], Operations: [] Exploring Operation: 87+9=96, Resulting Numbers: [17, 96, 96] Generated Node #2: [17, 96, 96] from Operation: 87+9=96 Current State: 18:[17, 96, 96], Operations: ['87+9=96'] Exploring Operation: 96/96=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 96/96=1 Current State: 18:[17, 1], Operations: ['87+9=96', '96/96=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 37, 50, 47 ]
63
[ "37-3=34", "50+47=97", "97-34=63" ]
Current State: 63:[3, 37, 50, 47], Operations: [] Exploring Operation: 37-3=34, Resulting Numbers: [50, 47, 34] Generated Node #2: [50, 47, 34] from Operation: 37-3=34 Current State: 63:[50, 47, 34], Operations: ['37-3=34'] Exploring Operation: 50+47=97, Resulting Numbers: [34, 97] Generated Node #3: [34, 97] from Operation: 50+47=97 Current State: 63:[34, 97], Operations: ['37-3=34', '50+47=97'] Exploring Operation: 97-34=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 21, 46, 17 ]
49
[ "30+21=51", "51/17=3", "46+3=49" ]
Current State: 49:[30, 21, 46, 17], Operations: [] Exploring Operation: 30+21=51, Resulting Numbers: [46, 17, 51] Generated Node #2: [46, 17, 51] from Operation: 30+21=51 Current State: 49:[46, 17, 51], Operations: ['30+21=51'] Exploring Operation: 51/17=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 51/17=3 Current State: 49:[46, 3], Operations: ['30+21=51', '51/17=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 71, 18, 72, 8 ]
11
[ "71-18=53", "72-8=64", "64-53=11" ]
Current State: 11:[71, 18, 72, 8], Operations: [] Exploring Operation: 71-18=53, Resulting Numbers: [72, 8, 53] Generated Node #2: [72, 8, 53] from Operation: 71-18=53 Current State: 11:[72, 8, 53], Operations: ['71-18=53'] Exploring Operation: 72-8=64, Resulting Numbers: [53, 64] Generated Node #3: [53, 64] from Operation: 72-8=64 Current State: 11:[53, 64], Operations: ['71-18=53', '72-8=64'] Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 50, 85, 4, 91 ]
49
[ "85-50=35", "4*35=140", "140-91=49" ]
Current State: 49:[50, 85, 4, 91], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [4, 91, 35] Generated Node #2: [4, 91, 35] from Operation: 85-50=35 Current State: 49:[4, 91, 35], Operations: ['85-50=35'] Exploring Operation: 4*35=140, Resulting Numbers: [91, 140] Generated Node #3: [91, 140] from Operation: 4*35=140 Current State: 49:[91, 140], Operations: ['85-50=35', '4*35=140'] Exploring Operation: 140-91=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 35, 23, 38 ]
16
[ "35+23=58", "38+58=96", "96/6=16" ]
Current State: 16:[6, 35, 23, 38], Operations: [] Exploring Operation: 35+23=58, Resulting Numbers: [6, 38, 58] Generated Node #2: [6, 38, 58] from Operation: 35+23=58 Current State: 16:[6, 38, 58], Operations: ['35+23=58'] Exploring Operation: 38+58=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 38+58=96 Current State: 16:[6, 96], Operations: ['35+23=58', '38+58=96'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 52, 14, 58, 80 ]
72
[ "52+14=66", "58+80=138", "138-66=72" ]
Current State: 72:[52, 14, 58, 80], Operations: [] Exploring Operation: 52+14=66, Resulting Numbers: [58, 80, 66] Generated Node #2: [58, 80, 66] from Operation: 52+14=66 Current State: 72:[58, 80, 66], Operations: ['52+14=66'] Exploring Operation: 58+80=138, Resulting Numbers: [66, 138] Generated Node #3: [66, 138] from Operation: 58+80=138 Current State: 72:[66, 138], Operations: ['52+14=66', '58+80=138'] Exploring Operation: 138-66=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 46, 70, 32, 12 ]
44
[ "70-46=24", "32-12=20", "24+20=44" ]
Current State: 44:[46, 70, 32, 12], Operations: [] Exploring Operation: 70-46=24, Resulting Numbers: [32, 12, 24] Generated Node #2: [32, 12, 24] from Operation: 70-46=24 Current State: 44:[32, 12, 24], Operations: ['70-46=24'] Exploring Operation: 32-12=20, Resulting Numbers: [24, 20] Generated Node #3: [24, 20] from Operation: 32-12=20 Current State: 44:[24, 20], Operations: ['70-46=24', '32-12=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 12, 4, 37, 50 ]
61
[ "12*4=48", "50-37=13", "48+13=61" ]
Current State: 61:[12, 4, 37, 50], Operations: [] Exploring Operation: 12*4=48, Resulting Numbers: [37, 50, 48] Generated Node #2: [37, 50, 48] from Operation: 12*4=48 Current State: 61:[37, 50, 48], Operations: ['12*4=48'] Exploring Operation: 50-37=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 50-37=13 Current State: 61:[48, 13], Operations: ['12*4=48', '50-37=13'] Exploring Operation: 48+13=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 73, 24, 9, 30 ]
67
[ "24+30=54", "54/9=6", "73-6=67" ]
Current State: 67:[73, 24, 9, 30], Operations: [] Exploring Operation: 24+30=54, Resulting Numbers: [73, 9, 54] Generated Node #2: [73, 9, 54] from Operation: 24+30=54 Current State: 67:[73, 9, 54], Operations: ['24+30=54'] Exploring Operation: 54/9=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 54/9=6 Current State: 67:[73, 6], Operations: ['24+30=54', '54/9=6'] Exploring Operation: 73-6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 91, 56, 48, 49 ]
45
[ "91+56=147", "147/49=3", "48-3=45" ]
Current State: 45:[91, 56, 48, 49], Operations: [] Exploring Operation: 91+56=147, Resulting Numbers: [48, 49, 147] Generated Node #2: [48, 49, 147] from Operation: 91+56=147 Current State: 45:[48, 49, 147], Operations: ['91+56=147'] Exploring Operation: 147/49=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 147/49=3 Current State: 45:[48, 3], Operations: ['91+56=147', '147/49=3'] Exploring Operation: 48-3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 5, 28, 98 ]
92
[ "98-74=24", "5*24=120", "120-28=92" ]
Current State: 92:[74, 5, 28, 98], Operations: [] Exploring Operation: 98-74=24, Resulting Numbers: [5, 28, 24] Generated Node #2: [5, 28, 24] from Operation: 98-74=24 Current State: 92:[5, 28, 24], Operations: ['98-74=24'] Exploring Operation: 5*24=120, Resulting Numbers: [28, 120] Generated Node #3: [28, 120] from Operation: 5*24=120 Current State: 92:[28, 120], Operations: ['98-74=24', '5*24=120'] Exploring Operation: 120-28=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 89, 63, 14, 3 ]
86
[ "89+14=103", "63*3=189", "189-103=86" ]
Current State: 86:[89, 63, 14, 3], Operations: [] Exploring Operation: 89+14=103, Resulting Numbers: [63, 3, 103] Generated Node #2: [63, 3, 103] from Operation: 89+14=103 Current State: 86:[63, 3, 103], Operations: ['89+14=103'] Exploring Operation: 63*3=189, Resulting Numbers: [103, 189] Generated Node #3: [103, 189] from Operation: 63*3=189 Current State: 86:[103, 189], Operations: ['89+14=103', '63*3=189'] Exploring Operation: 189-103=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 8, 9, 47 ]
93
[ "29+8=37", "9+47=56", "37+56=93" ]
Current State: 93:[29, 8, 9, 47], Operations: [] Exploring Operation: 29+8=37, Resulting Numbers: [9, 47, 37] Generated Node #2: [9, 47, 37] from Operation: 29+8=37 Current State: 93:[9, 47, 37], Operations: ['29+8=37'] Exploring Operation: 9+47=56, Resulting Numbers: [37, 56] Generated Node #3: [37, 56] from Operation: 9+47=56 Current State: 93:[37, 56], Operations: ['29+8=37', '9+47=56'] Exploring Operation: 37+56=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 8, 34, 88 ]
73
[ "28+34=62", "88/8=11", "62+11=73" ]
Current State: 73:[28, 8, 34, 88], Operations: [] Exploring Operation: 28+34=62, Resulting Numbers: [8, 88, 62] Generated Node #2: [8, 88, 62] from Operation: 28+34=62 Current State: 73:[8, 88, 62], Operations: ['28+34=62'] Exploring Operation: 88/8=11, Resulting Numbers: [62, 11] Generated Node #3: [62, 11] from Operation: 88/8=11 Current State: 73:[62, 11], Operations: ['28+34=62', '88/8=11'] Exploring Operation: 62+11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 17, 34, 7, 34 ]
12
[ "34*7=238", "238-34=204", "204/17=12" ]
Current State: 12:[17, 34, 7, 34], Operations: [] Exploring Operation: 34*7=238, Resulting Numbers: [17, 238] Generated Node #2: [17, 238] from Operation: 34*7=238 Current State: 12:[17, 238], Operations: ['34*7=238'] Exploring Operation: 238-34=204, Resulting Numbers: [17, 204] Generated Node #3: [17, 204] from Operation: 238-34=204 Current State: 12:[17, 204], Operations: ['34*7=238', '238-34=204'] Exploring Operation: 204/17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 30, 96, 11, 85 ]
91
[ "96-30=66", "66/11=6", "85+6=91" ]
Current State: 91:[30, 96, 11, 85], Operations: [] Exploring Operation: 96-30=66, Resulting Numbers: [11, 85, 66] Generated Node #2: [11, 85, 66] from Operation: 96-30=66 Current State: 91:[11, 85, 66], Operations: ['96-30=66'] Exploring Operation: 66/11=6, Resulting Numbers: [85, 6] Generated Node #3: [85, 6] from Operation: 66/11=6 Current State: 91:[85, 6], Operations: ['96-30=66', '66/11=6'] Exploring Operation: 85+6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 13, 4, 26 ]
99
[ "13-8=5", "4*26=104", "104-5=99" ]
Current State: 99:[8, 13, 4, 26], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [4, 26, 5] Generated Node #2: [4, 26, 5] from Operation: 13-8=5 Current State: 99:[4, 26, 5], Operations: ['13-8=5'] Exploring Operation: 4*26=104, Resulting Numbers: [5, 104] Generated Node #3: [5, 104] from Operation: 4*26=104 Current State: 99:[5, 104], Operations: ['13-8=5', '4*26=104'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 44, 86, 1, 28 ]
70
[ "86-44=42", "1*28=28", "42+28=70" ]
Current State: 70:[44, 86, 1, 28], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [1, 28, 42] Generated Node #2: [1, 28, 42] from Operation: 86-44=42 Current State: 70:[1, 28, 42], Operations: ['86-44=42'] Exploring Operation: 1*28=28, Resulting Numbers: [42, 28] Generated Node #3: [42, 28] from Operation: 1*28=28 Current State: 70:[42, 28], Operations: ['86-44=42', '1*28=28'] Exploring Operation: 42+28=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 1, 58, 3 ]
49
[ "2+1=3", "3*3=9", "58-9=49" ]
Current State: 49:[2, 1, 58, 3], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [58, 3, 3] Generated Node #2: [58, 3, 3] from Operation: 2+1=3 Current State: 49:[58, 3, 3], Operations: ['2+1=3'] Exploring Operation: 3*3=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 3*3=9 Current State: 49:[58, 9], Operations: ['2+1=3', '3*3=9'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 83, 23, 22 ]
46
[ "83-82=1", "23+22=45", "1+45=46" ]
Current State: 46:[82, 83, 23, 22], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [23, 22, 1] Generated Node #2: [23, 22, 1] from Operation: 83-82=1 Current State: 46:[23, 22, 1], Operations: ['83-82=1'] Exploring Operation: 23+22=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 23+22=45 Current State: 46:[1, 45], Operations: ['83-82=1', '23+22=45'] Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 28, 76, 12 ]
36
[ "51+28=79", "79-76=3", "12*3=36" ]
Current State: 36:[51, 28, 76, 12], Operations: [] Exploring Operation: 51+28=79, Resulting Numbers: [76, 12, 79] Generated Node #2: [76, 12, 79] from Operation: 51+28=79 Current State: 36:[76, 12, 79], Operations: ['51+28=79'] Exploring Operation: 79-76=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 79-76=3 Current State: 36:[12, 3], Operations: ['51+28=79', '79-76=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 90, 42, 54 ]
11
[ "90*42=3780", "3780/54=70", "81-70=11" ]
Current State: 11:[81, 90, 42, 54], Operations: [] Exploring Operation: 90*42=3780, Resulting Numbers: [81, 54, 3780] Generated Node #2: [81, 54, 3780] from Operation: 90*42=3780 Current State: 11:[81, 54, 3780], Operations: ['90*42=3780'] Exploring Operation: 3780/54=70, Resulting Numbers: [81, 70] Generated Node #3: [81, 70] from Operation: 3780/54=70 Current State: 11:[81, 70], Operations: ['90*42=3780', '3780/54=70'] Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 20, 9, 21, 28 ]
36
[ "20+9=29", "28-21=7", "29+7=36" ]
Current State: 36:[20, 9, 21, 28], Operations: [] Exploring Operation: 20+9=29, Resulting Numbers: [21, 28, 29] Generated Node #2: [21, 28, 29] from Operation: 20+9=29 Current State: 36:[21, 28, 29], Operations: ['20+9=29'] Exploring Operation: 28-21=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 28-21=7 Current State: 36:[29, 7], Operations: ['20+9=29', '28-21=7'] Exploring Operation: 29+7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 90, 13, 41 ]
53
[ "90-89=1", "13+41=54", "54-1=53" ]
Current State: 53:[89, 90, 13, 41], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [13, 41, 1] Generated Node #2: [13, 41, 1] from Operation: 90-89=1 Current State: 53:[13, 41, 1], Operations: ['90-89=1'] Exploring Operation: 13+41=54, Resulting Numbers: [1, 54] Generated Node #3: [1, 54] from Operation: 13+41=54 Current State: 53:[1, 54], Operations: ['90-89=1', '13+41=54'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 1, 23, 31, 59 ]
50
[ "23-1=22", "59-31=28", "22+28=50" ]
Current State: 50:[1, 23, 31, 59], Operations: [] Exploring Operation: 23-1=22, Resulting Numbers: [31, 59, 22] Generated Node #2: [31, 59, 22] from Operation: 23-1=22 Current State: 50:[31, 59, 22], Operations: ['23-1=22'] Exploring Operation: 59-31=28, Resulting Numbers: [22, 28] Generated Node #3: [22, 28] from Operation: 59-31=28 Current State: 50:[22, 28], Operations: ['23-1=22', '59-31=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 33, 13, 16, 32 ]
79
[ "33*32=1056", "1056/16=66", "13+66=79" ]
Current State: 79:[33, 13, 16, 32], Operations: [] Exploring Operation: 33*32=1056, Resulting Numbers: [13, 16, 1056] Generated Node #2: [13, 16, 1056] from Operation: 33*32=1056 Current State: 79:[13, 16, 1056], Operations: ['33*32=1056'] Exploring Operation: 1056/16=66, Resulting Numbers: [13, 66] Generated Node #3: [13, 66] from Operation: 1056/16=66 Current State: 79:[13, 66], Operations: ['33*32=1056', '1056/16=66'] Exploring Operation: 13+66=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 66, 56, 36, 34 ]
59
[ "66+36=102", "102/34=3", "56+3=59" ]
Current State: 59:[66, 56, 36, 34], Operations: [] Exploring Operation: 66+36=102, Resulting Numbers: [56, 34, 102] Generated Node #2: [56, 34, 102] from Operation: 66+36=102 Current State: 59:[56, 34, 102], Operations: ['66+36=102'] Exploring Operation: 102/34=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 102/34=3 Current State: 59:[56, 3], Operations: ['66+36=102', '102/34=3'] Exploring Operation: 56+3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 23, 67, 91 ]
30
[ "31+23=54", "91-67=24", "54-24=30" ]
Current State: 30:[31, 23, 67, 91], Operations: [] Exploring Operation: 31+23=54, Resulting Numbers: [67, 91, 54] Generated Node #2: [67, 91, 54] from Operation: 31+23=54 Current State: 30:[67, 91, 54], Operations: ['31+23=54'] Exploring Operation: 91-67=24, Resulting Numbers: [54, 24] Generated Node #3: [54, 24] from Operation: 91-67=24 Current State: 30:[54, 24], Operations: ['31+23=54', '91-67=24'] Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 12, 83, 1, 9 ]
87
[ "12+83=95", "9-1=8", "95-8=87" ]
Current State: 87:[12, 83, 1, 9], Operations: [] Exploring Operation: 12+83=95, Resulting Numbers: [1, 9, 95] Generated Node #2: [1, 9, 95] from Operation: 12+83=95 Current State: 87:[1, 9, 95], Operations: ['12+83=95'] Exploring Operation: 9-1=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 9-1=8 Current State: 87:[95, 8], Operations: ['12+83=95', '9-1=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 40, 95, 35 ]
20
[ "2*40=80", "95-35=60", "80-60=20" ]
Current State: 20:[2, 40, 95, 35], Operations: [] Exploring Operation: 2*40=80, Resulting Numbers: [95, 35, 80] Generated Node #2: [95, 35, 80] from Operation: 2*40=80 Current State: 20:[95, 35, 80], Operations: ['2*40=80'] Exploring Operation: 95-35=60, Resulting Numbers: [80, 60] Generated Node #3: [80, 60] from Operation: 95-35=60 Current State: 20:[80, 60], Operations: ['2*40=80', '95-35=60'] Exploring Operation: 80-60=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 1, 58, 63 ]
10
[ "63-58=5", "45/5=9", "1+9=10" ]
Current State: 10:[45, 1, 58, 63], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [45, 1, 5] Generated Node #2: [45, 1, 5] from Operation: 63-58=5 Current State: 10:[45, 1, 5], Operations: ['63-58=5'] Exploring Operation: 45/5=9, Resulting Numbers: [1, 9] Generated Node #3: [1, 9] from Operation: 45/5=9 Current State: 10:[1, 9], Operations: ['63-58=5', '45/5=9'] Exploring Operation: 1+9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 13, 5, 8 ]
32
[ "3*8=24", "13-5=8", "24+8=32" ]
Current State: 32:[3, 13, 5, 8], Operations: [] Exploring Operation: 3*8=24, Resulting Numbers: [13, 5, 24] Generated Node #2: [13, 5, 24] from Operation: 3*8=24 Current State: 32:[13, 5, 24], Operations: ['3*8=24'] Exploring Operation: 13-5=8, Resulting Numbers: [24, 8] Generated Node #3: [24, 8] from Operation: 13-5=8 Current State: 32:[24, 8], Operations: ['3*8=24', '13-5=8'] Exploring Operation: 24+8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 94, 21, 63 ]
98
[ "94-38=56", "63-21=42", "56+42=98" ]
Current State: 98:[38, 94, 21, 63], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [21, 63, 56] Generated Node #2: [21, 63, 56] from Operation: 94-38=56 Current State: 98:[21, 63, 56], Operations: ['94-38=56'] Exploring Operation: 63-21=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 63-21=42 Current State: 98:[56, 42], Operations: ['94-38=56', '63-21=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 63, 7, 33 ]
28
[ "33-31=2", "63-7=56", "56/2=28" ]
Current State: 28:[31, 63, 7, 33], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [63, 7, 2] Generated Node #2: [63, 7, 2] from Operation: 33-31=2 Current State: 28:[63, 7, 2], Operations: ['33-31=2'] Exploring Operation: 63-7=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 63-7=56 Current State: 28:[2, 56], Operations: ['33-31=2', '63-7=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 25, 34, 3, 20 ]
33
[ "34-25=9", "20-9=11", "3*11=33" ]
Current State: 33:[25, 34, 3, 20], Operations: [] Exploring Operation: 34-25=9, Resulting Numbers: [3, 20, 9] Generated Node #2: [3, 20, 9] from Operation: 34-25=9 Current State: 33:[3, 20, 9], Operations: ['34-25=9'] Exploring Operation: 20-9=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 20-9=11 Current State: 33:[3, 11], Operations: ['34-25=9', '20-9=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 53, 97, 54, 34 ]
63
[ "54-53=1", "97-34=63", "1*63=63" ]
Current State: 63:[53, 97, 54, 34], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [97, 34, 1] Generated Node #2: [97, 34, 1] from Operation: 54-53=1 Current State: 63:[97, 34, 1], Operations: ['54-53=1'] Exploring Operation: 97-34=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 97-34=63 Current State: 63:[1, 63], Operations: ['54-53=1', '97-34=63'] Exploring Operation: 1*63=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 92, 98, 30, 58 ]
82
[ "98-92=6", "30+58=88", "88-6=82" ]
Current State: 82:[92, 98, 30, 58], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [30, 58, 6] Generated Node #2: [30, 58, 6] from Operation: 98-92=6 Current State: 82:[30, 58, 6], Operations: ['98-92=6'] Exploring Operation: 30+58=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 30+58=88 Current State: 82:[6, 88], Operations: ['98-92=6', '30+58=88'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 25, 90, 31, 58 ]
45
[ "25+31=56", "58-56=2", "90/2=45" ]
Current State: 45:[25, 90, 31, 58], Operations: [] Exploring Operation: 25+31=56, Resulting Numbers: [90, 58, 56] Generated Node #2: [90, 58, 56] from Operation: 25+31=56 Current State: 45:[90, 58, 56], Operations: ['25+31=56'] Exploring Operation: 58-56=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 58-56=2 Current State: 45:[90, 2], Operations: ['25+31=56', '58-56=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 35, 80, 57 ]
53
[ "75*57=4275", "4275-35=4240", "4240/80=53" ]
Current State: 53:[75, 35, 80, 57], Operations: [] Exploring Operation: 75*57=4275, Resulting Numbers: [35, 80, 4275] Generated Node #2: [35, 80, 4275] from Operation: 75*57=4275 Current State: 53:[35, 80, 4275], Operations: ['75*57=4275'] Exploring Operation: 4275-35=4240, Resulting Numbers: [80, 4240] Generated Node #3: [80, 4240] from Operation: 4275-35=4240 Current State: 53:[80, 4240], Operations: ['75*57=4275', '4275-35=4240'] Exploring Operation: 4240/80=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 3, 45, 80 ]
47
[ "80-45=35", "3*35=105", "105-58=47" ]
Current State: 47:[58, 3, 45, 80], Operations: [] Exploring Operation: 80-45=35, Resulting Numbers: [58, 3, 35] Generated Node #2: [58, 3, 35] from Operation: 80-45=35 Current State: 47:[58, 3, 35], Operations: ['80-45=35'] Exploring Operation: 3*35=105, Resulting Numbers: [58, 105] Generated Node #3: [58, 105] from Operation: 3*35=105 Current State: 47:[58, 105], Operations: ['80-45=35', '3*35=105'] Exploring Operation: 105-58=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 92, 21, 31, 63 ]
58
[ "92-31=61", "63/21=3", "61-3=58" ]
Current State: 58:[92, 21, 31, 63], Operations: [] Exploring Operation: 92-31=61, Resulting Numbers: [21, 63, 61] Generated Node #2: [21, 63, 61] from Operation: 92-31=61 Current State: 58:[21, 63, 61], Operations: ['92-31=61'] Exploring Operation: 63/21=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 63/21=3 Current State: 58:[61, 3], Operations: ['92-31=61', '63/21=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 35, 49, 39, 16 ]
77
[ "39+16=55", "49*55=2695", "2695/35=77" ]
Current State: 77:[35, 49, 39, 16], Operations: [] Exploring Operation: 39+16=55, Resulting Numbers: [35, 49, 55] Generated Node #2: [35, 49, 55] from Operation: 39+16=55 Current State: 77:[35, 49, 55], Operations: ['39+16=55'] Exploring Operation: 49*55=2695, Resulting Numbers: [35, 2695] Generated Node #3: [35, 2695] from Operation: 49*55=2695 Current State: 77:[35, 2695], Operations: ['39+16=55', '49*55=2695'] Exploring Operation: 2695/35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 47, 66, 49, 9 ]
69
[ "66*49=3234", "9+3234=3243", "3243/47=69" ]
Current State: 69:[47, 66, 49, 9], Operations: [] Exploring Operation: 66*49=3234, Resulting Numbers: [47, 9, 3234] Generated Node #2: [47, 9, 3234] from Operation: 66*49=3234 Current State: 69:[47, 9, 3234], Operations: ['66*49=3234'] Exploring Operation: 9+3234=3243, Resulting Numbers: [47, 3243] Generated Node #3: [47, 3243] from Operation: 9+3234=3243 Current State: 69:[47, 3243], Operations: ['66*49=3234', '9+3234=3243'] Exploring Operation: 3243/47=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 90, 2, 8, 55 ]
31
[ "90-55=35", "8/2=4", "35-4=31" ]
Current State: 31:[90, 2, 8, 55], Operations: [] Exploring Operation: 90-55=35, Resulting Numbers: [2, 8, 35] Generated Node #2: [2, 8, 35] from Operation: 90-55=35 Current State: 31:[2, 8, 35], Operations: ['90-55=35'] Exploring Operation: 8/2=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 8/2=4 Current State: 31:[35, 4], Operations: ['90-55=35', '8/2=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 33, 64, 80, 3 ]
27
[ "33/3=11", "80-64=16", "11+16=27" ]
Current State: 27:[33, 64, 80, 3], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [64, 80, 11] Generated Node #2: [64, 80, 11] from Operation: 33/3=11 Current State: 27:[64, 80, 11], Operations: ['33/3=11'] Exploring Operation: 80-64=16, Resulting Numbers: [11, 16] Generated Node #3: [11, 16] from Operation: 80-64=16 Current State: 27:[11, 16], Operations: ['33/3=11', '80-64=16'] Exploring Operation: 11+16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 63, 62, 12 ]
27
[ "62-59=3", "12*3=36", "63-36=27" ]
Current State: 27:[59, 63, 62, 12], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [63, 12, 3] Generated Node #2: [63, 12, 3] from Operation: 62-59=3 Current State: 27:[63, 12, 3], Operations: ['62-59=3'] Exploring Operation: 12*3=36, Resulting Numbers: [63, 36] Generated Node #3: [63, 36] from Operation: 12*3=36 Current State: 27:[63, 36], Operations: ['62-59=3', '12*3=36'] Exploring Operation: 63-36=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 45, 23, 4, 57 ]
95
[ "45*57=2565", "23+4=27", "2565/27=95" ]
Current State: 95:[45, 23, 4, 57], Operations: [] Exploring Operation: 45*57=2565, Resulting Numbers: [23, 4, 2565] Generated Node #2: [23, 4, 2565] from Operation: 45*57=2565 Current State: 95:[23, 4, 2565], Operations: ['45*57=2565'] Exploring Operation: 23+4=27, Resulting Numbers: [2565, 27] Generated Node #3: [2565, 27] from Operation: 23+4=27 Current State: 95:[2565, 27], Operations: ['45*57=2565', '23+4=27'] Exploring Operation: 2565/27=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 22, 34, 81, 20 ]
33
[ "22*81=1782", "34+20=54", "1782/54=33" ]
Current State: 33:[22, 34, 81, 20], Operations: [] Exploring Operation: 22*81=1782, Resulting Numbers: [34, 20, 1782] Generated Node #2: [34, 20, 1782] from Operation: 22*81=1782 Current State: 33:[34, 20, 1782], Operations: ['22*81=1782'] Exploring Operation: 34+20=54, Resulting Numbers: [1782, 54] Generated Node #3: [1782, 54] from Operation: 34+20=54 Current State: 33:[1782, 54], Operations: ['22*81=1782', '34+20=54'] Exploring Operation: 1782/54=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 87, 94, 46, 11 ]
31
[ "94-87=7", "11*7=77", "77-46=31" ]
Current State: 31:[87, 94, 46, 11], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [46, 11, 7] Generated Node #2: [46, 11, 7] from Operation: 94-87=7 Current State: 31:[46, 11, 7], Operations: ['94-87=7'] Exploring Operation: 11*7=77, Resulting Numbers: [46, 77] Generated Node #3: [46, 77] from Operation: 11*7=77 Current State: 31:[46, 77], Operations: ['94-87=7', '11*7=77'] Exploring Operation: 77-46=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 70, 18, 69, 68 ]
36
[ "70+68=138", "18*138=2484", "2484/69=36" ]
Current State: 36:[70, 18, 69, 68], Operations: [] Exploring Operation: 70+68=138, Resulting Numbers: [18, 69, 138] Generated Node #2: [18, 69, 138] from Operation: 70+68=138 Current State: 36:[18, 69, 138], Operations: ['70+68=138'] Exploring Operation: 18*138=2484, Resulting Numbers: [69, 2484] Generated Node #3: [69, 2484] from Operation: 18*138=2484 Current State: 36:[69, 2484], Operations: ['70+68=138', '18*138=2484'] Exploring Operation: 2484/69=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 53, 2, 49 ]
61
[ "94-49=45", "53*2=106", "106-45=61" ]
Current State: 61:[94, 53, 2, 49], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [53, 2, 45] Generated Node #2: [53, 2, 45] from Operation: 94-49=45 Current State: 61:[53, 2, 45], Operations: ['94-49=45'] Exploring Operation: 53*2=106, Resulting Numbers: [45, 106] Generated Node #3: [45, 106] from Operation: 53*2=106 Current State: 61:[45, 106], Operations: ['94-49=45', '53*2=106'] Exploring Operation: 106-45=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 2, 5, 4 ]
60
[ "20*2=40", "5*4=20", "40+20=60" ]
Current State: 60:[20, 2, 5, 4], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [5, 4, 40] Generated Node #2: [5, 4, 40] from Operation: 20*2=40 Current State: 60:[5, 4, 40], Operations: ['20*2=40'] Exploring Operation: 5*4=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 5*4=20 Current State: 60:[40, 20], Operations: ['20*2=40', '5*4=20'] Exploring Operation: 40+20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 23, 18, 97, 57 ]
52
[ "18+97=115", "115/23=5", "57-5=52" ]
Current State: 52:[23, 18, 97, 57], Operations: [] Exploring Operation: 18+97=115, Resulting Numbers: [23, 57, 115] Generated Node #2: [23, 57, 115] from Operation: 18+97=115 Current State: 52:[23, 57, 115], Operations: ['18+97=115'] Exploring Operation: 115/23=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 115/23=5 Current State: 52:[57, 5], Operations: ['18+97=115', '115/23=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 68, 63, 59, 33 ]
40
[ "68-59=9", "63/9=7", "33+7=40" ]
Current State: 40:[68, 63, 59, 33], Operations: [] Exploring Operation: 68-59=9, Resulting Numbers: [63, 33, 9] Generated Node #2: [63, 33, 9] from Operation: 68-59=9 Current State: 40:[63, 33, 9], Operations: ['68-59=9'] Exploring Operation: 63/9=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 63/9=7 Current State: 40:[33, 7], Operations: ['68-59=9', '63/9=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 81, 98, 36 ]
70
[ "98-81=17", "2*17=34", "36+34=70" ]
Current State: 70:[2, 81, 98, 36], Operations: [] Exploring Operation: 98-81=17, Resulting Numbers: [2, 36, 17] Generated Node #2: [2, 36, 17] from Operation: 98-81=17 Current State: 70:[2, 36, 17], Operations: ['98-81=17'] Exploring Operation: 2*17=34, Resulting Numbers: [36, 34] Generated Node #3: [36, 34] from Operation: 2*17=34 Current State: 70:[36, 34], Operations: ['98-81=17', '2*17=34'] Exploring Operation: 36+34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 26, 18, 22, 37 ]
78
[ "18+22=40", "40-37=3", "26*3=78" ]
Current State: 78:[26, 18, 22, 37], Operations: [] Exploring Operation: 18+22=40, Resulting Numbers: [26, 37, 40] Generated Node #2: [26, 37, 40] from Operation: 18+22=40 Current State: 78:[26, 37, 40], Operations: ['18+22=40'] Exploring Operation: 40-37=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 40-37=3 Current State: 78:[26, 3], Operations: ['18+22=40', '40-37=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 84, 69, 24, 27 ]
88
[ "69+27=96", "96/24=4", "84+4=88" ]
Current State: 88:[84, 69, 24, 27], Operations: [] Exploring Operation: 69+27=96, Resulting Numbers: [84, 24, 96] Generated Node #2: [84, 24, 96] from Operation: 69+27=96 Current State: 88:[84, 24, 96], Operations: ['69+27=96'] Exploring Operation: 96/24=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 96/24=4 Current State: 88:[84, 4], Operations: ['69+27=96', '96/24=4'] Exploring Operation: 84+4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 14, 12, 34, 82 ]
74
[ "14+12=26", "82-34=48", "26+48=74" ]
Current State: 74:[14, 12, 34, 82], Operations: [] Exploring Operation: 14+12=26, Resulting Numbers: [34, 82, 26] Generated Node #2: [34, 82, 26] from Operation: 14+12=26 Current State: 74:[34, 82, 26], Operations: ['14+12=26'] Exploring Operation: 82-34=48, Resulting Numbers: [26, 48] Generated Node #3: [26, 48] from Operation: 82-34=48 Current State: 74:[26, 48], Operations: ['14+12=26', '82-34=48'] Exploring Operation: 26+48=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 13, 82, 6 ]
25
[ "82-29=53", "13*6=78", "78-53=25" ]
Current State: 25:[29, 13, 82, 6], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [13, 6, 53] Generated Node #2: [13, 6, 53] from Operation: 82-29=53 Current State: 25:[13, 6, 53], Operations: ['82-29=53'] Exploring Operation: 13*6=78, Resulting Numbers: [53, 78] Generated Node #3: [53, 78] from Operation: 13*6=78 Current State: 25:[53, 78], Operations: ['82-29=53', '13*6=78'] Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 17, 27, 51 ]
62
[ "86-27=59", "51/17=3", "59+3=62" ]
Current State: 62:[86, 17, 27, 51], Operations: [] Exploring Operation: 86-27=59, Resulting Numbers: [17, 51, 59] Generated Node #2: [17, 51, 59] from Operation: 86-27=59 Current State: 62:[17, 51, 59], Operations: ['86-27=59'] Exploring Operation: 51/17=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 51/17=3 Current State: 62:[59, 3], Operations: ['86-27=59', '51/17=3'] Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 89, 56, 7, 29 ]
58
[ "89+56=145", "7*29=203", "203-145=58" ]
Current State: 58:[89, 56, 7, 29], Operations: [] Exploring Operation: 89+56=145, Resulting Numbers: [7, 29, 145] Generated Node #2: [7, 29, 145] from Operation: 89+56=145 Current State: 58:[7, 29, 145], Operations: ['89+56=145'] Exploring Operation: 7*29=203, Resulting Numbers: [145, 203] Generated Node #3: [145, 203] from Operation: 7*29=203 Current State: 58:[145, 203], Operations: ['89+56=145', '7*29=203'] Exploring Operation: 203-145=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 54, 92, 81, 27 ]
41
[ "92-54=38", "81/27=3", "38+3=41" ]
Current State: 41:[54, 92, 81, 27], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [81, 27, 38] Generated Node #2: [81, 27, 38] from Operation: 92-54=38 Current State: 41:[81, 27, 38], Operations: ['92-54=38'] Exploring Operation: 81/27=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 81/27=3 Current State: 41:[38, 3], Operations: ['92-54=38', '81/27=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 34, 64, 82 ]
67
[ "27*82=2214", "64+2214=2278", "2278/34=67" ]
Current State: 67:[27, 34, 64, 82], Operations: [] Exploring Operation: 27*82=2214, Resulting Numbers: [34, 64, 2214] Generated Node #2: [34, 64, 2214] from Operation: 27*82=2214 Current State: 67:[34, 64, 2214], Operations: ['27*82=2214'] Exploring Operation: 64+2214=2278, Resulting Numbers: [34, 2278] Generated Node #3: [34, 2278] from Operation: 64+2214=2278 Current State: 67:[34, 2278], Operations: ['27*82=2214', '64+2214=2278'] Exploring Operation: 2278/34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 4, 25, 7, 85 ]
99
[ "25-4=21", "85-7=78", "21+78=99" ]
Current State: 99:[4, 25, 7, 85], Operations: [] Exploring Operation: 25-4=21, Resulting Numbers: [7, 85, 21] Generated Node #2: [7, 85, 21] from Operation: 25-4=21 Current State: 99:[7, 85, 21], Operations: ['25-4=21'] Exploring Operation: 85-7=78, Resulting Numbers: [21, 78] Generated Node #3: [21, 78] from Operation: 85-7=78 Current State: 99:[21, 78], Operations: ['25-4=21', '85-7=78'] Exploring Operation: 21+78=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 42, 61, 93, 8 ]
18
[ "42+61=103", "93-8=85", "103-85=18" ]
Current State: 18:[42, 61, 93, 8], Operations: [] Exploring Operation: 42+61=103, Resulting Numbers: [93, 8, 103] Generated Node #2: [93, 8, 103] from Operation: 42+61=103 Current State: 18:[93, 8, 103], Operations: ['42+61=103'] Exploring Operation: 93-8=85, Resulting Numbers: [103, 85] Generated Node #3: [103, 85] from Operation: 93-8=85 Current State: 18:[103, 85], Operations: ['42+61=103', '93-8=85'] Exploring Operation: 103-85=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 96, 31, 32 ]
45
[ "96-78=18", "31+32=63", "63-18=45" ]
Current State: 45:[78, 96, 31, 32], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [31, 32, 18] Generated Node #2: [31, 32, 18] from Operation: 96-78=18 Current State: 45:[31, 32, 18], Operations: ['96-78=18'] Exploring Operation: 31+32=63, Resulting Numbers: [18, 63] Generated Node #3: [18, 63] from Operation: 31+32=63 Current State: 45:[18, 63], Operations: ['96-78=18', '31+32=63'] Exploring Operation: 63-18=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 83, 8, 95 ]
80
[ "83+8=91", "95-91=4", "20*4=80" ]
Current State: 80:[20, 83, 8, 95], Operations: [] Exploring Operation: 83+8=91, Resulting Numbers: [20, 95, 91] Generated Node #2: [20, 95, 91] from Operation: 83+8=91 Current State: 80:[20, 95, 91], Operations: ['83+8=91'] Exploring Operation: 95-91=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 95-91=4 Current State: 80:[20, 4], Operations: ['83+8=91', '95-91=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 97, 3, 9 ]
73
[ "9-1=8", "3*8=24", "97-24=73" ]
Current State: 73:[1, 97, 3, 9], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [97, 3, 8] Generated Node #2: [97, 3, 8] from Operation: 9-1=8 Current State: 73:[97, 3, 8], Operations: ['9-1=8'] Exploring Operation: 3*8=24, Resulting Numbers: [97, 24] Generated Node #3: [97, 24] from Operation: 3*8=24 Current State: 73:[97, 24], Operations: ['9-1=8', '3*8=24'] Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 90, 35, 2, 18 ]
92
[ "90-35=55", "2*55=110", "110-18=92" ]
Current State: 92:[90, 35, 2, 18], Operations: [] Exploring Operation: 90-35=55, Resulting Numbers: [2, 18, 55] Generated Node #2: [2, 18, 55] from Operation: 90-35=55 Current State: 92:[2, 18, 55], Operations: ['90-35=55'] Exploring Operation: 2*55=110, Resulting Numbers: [18, 110] Generated Node #3: [18, 110] from Operation: 2*55=110 Current State: 92:[18, 110], Operations: ['90-35=55', '2*55=110'] Exploring Operation: 110-18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 78, 20, 34, 26 ]
82
[ "78*34=2652", "2652/26=102", "102-20=82" ]
Current State: 82:[78, 20, 34, 26], Operations: [] Exploring Operation: 78*34=2652, Resulting Numbers: [20, 26, 2652] Generated Node #2: [20, 26, 2652] from Operation: 78*34=2652 Current State: 82:[20, 26, 2652], Operations: ['78*34=2652'] Exploring Operation: 2652/26=102, Resulting Numbers: [20, 102] Generated Node #3: [20, 102] from Operation: 2652/26=102 Current State: 82:[20, 102], Operations: ['78*34=2652', '2652/26=102'] Exploring Operation: 102-20=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 78, 93, 92, 88 ]
70
[ "92-78=14", "93-88=5", "14*5=70" ]
Current State: 70:[78, 93, 92, 88], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [93, 88, 14] Generated Node #2: [93, 88, 14] from Operation: 92-78=14 Current State: 70:[93, 88, 14], Operations: ['92-78=14'] Exploring Operation: 93-88=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 93-88=5 Current State: 70:[14, 5], Operations: ['92-78=14', '93-88=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 46, 4, 27 ]
37
[ "14+46=60", "27-4=23", "60-23=37" ]
Current State: 37:[14, 46, 4, 27], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [4, 27, 60] Generated Node #2: [4, 27, 60] from Operation: 14+46=60 Current State: 37:[4, 27, 60], Operations: ['14+46=60'] Exploring Operation: 27-4=23, Resulting Numbers: [60, 23] Generated Node #3: [60, 23] from Operation: 27-4=23 Current State: 37:[60, 23], Operations: ['14+46=60', '27-4=23'] Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 73, 88, 52, 59 ]
10
[ "73-59=14", "88+52=140", "140/14=10" ]
Current State: 10:[73, 88, 52, 59], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [88, 52, 14] Generated Node #2: [88, 52, 14] from Operation: 73-59=14 Current State: 10:[88, 52, 14], Operations: ['73-59=14'] Exploring Operation: 88+52=140, Resulting Numbers: [14, 140] Generated Node #3: [14, 140] from Operation: 88+52=140 Current State: 10:[14, 140], Operations: ['73-59=14', '88+52=140'] Exploring Operation: 140/14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 79, 84, 19 ]
58
[ "79-72=7", "84-19=65", "65-7=58" ]
Current State: 58:[72, 79, 84, 19], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [84, 19, 7] Generated Node #2: [84, 19, 7] from Operation: 79-72=7 Current State: 58:[84, 19, 7], Operations: ['79-72=7'] Exploring Operation: 84-19=65, Resulting Numbers: [7, 65] Generated Node #3: [7, 65] from Operation: 84-19=65 Current State: 58:[7, 65], Operations: ['79-72=7', '84-19=65'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 42, 49, 4, 66 ]
60
[ "4+66=70", "42*70=2940", "2940/49=60" ]
Current State: 60:[42, 49, 4, 66], Operations: [] Exploring Operation: 4+66=70, Resulting Numbers: [42, 49, 70] Generated Node #2: [42, 49, 70] from Operation: 4+66=70 Current State: 60:[42, 49, 70], Operations: ['4+66=70'] Exploring Operation: 42*70=2940, Resulting Numbers: [49, 2940] Generated Node #3: [49, 2940] from Operation: 42*70=2940 Current State: 60:[49, 2940], Operations: ['4+66=70', '42*70=2940'] Exploring Operation: 2940/49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 52, 34, 64 ]
56
[ "34-18=16", "64/16=4", "52+4=56" ]
Current State: 56:[18, 52, 34, 64], Operations: [] Exploring Operation: 34-18=16, Resulting Numbers: [52, 64, 16] Generated Node #2: [52, 64, 16] from Operation: 34-18=16 Current State: 56:[52, 64, 16], Operations: ['34-18=16'] Exploring Operation: 64/16=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 64/16=4 Current State: 56:[52, 4], Operations: ['34-18=16', '64/16=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 29, 41, 54 ]
98
[ "82+29=111", "54-41=13", "111-13=98" ]
Current State: 98:[82, 29, 41, 54], Operations: [] Exploring Operation: 82+29=111, Resulting Numbers: [41, 54, 111] Generated Node #2: [41, 54, 111] from Operation: 82+29=111 Current State: 98:[41, 54, 111], Operations: ['82+29=111'] Exploring Operation: 54-41=13, Resulting Numbers: [111, 13] Generated Node #3: [111, 13] from Operation: 54-41=13 Current State: 98:[111, 13], Operations: ['82+29=111', '54-41=13'] Exploring Operation: 111-13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 35, 90, 5 ]
24
[ "74+35=109", "90-5=85", "109-85=24" ]
Current State: 24:[74, 35, 90, 5], Operations: [] Exploring Operation: 74+35=109, Resulting Numbers: [90, 5, 109] Generated Node #2: [90, 5, 109] from Operation: 74+35=109 Current State: 24:[90, 5, 109], Operations: ['74+35=109'] Exploring Operation: 90-5=85, Resulting Numbers: [109, 85] Generated Node #3: [109, 85] from Operation: 90-5=85 Current State: 24:[109, 85], Operations: ['74+35=109', '90-5=85'] Exploring Operation: 109-85=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 96, 3, 65 ]
31
[ "3+96=99", "3+65=68", "99-68=31" ]
Current State: 31:[3, 96, 3, 65], Operations: [] Exploring Operation: 3+96=99, Resulting Numbers: [65, 99] Generated Node #2: [65, 99] from Operation: 3+96=99 Current State: 31:[65, 99], Operations: ['3+96=99'] Exploring Operation: 3+65=68, Resulting Numbers: [99, 68] Generated Node #3: [99, 68] from Operation: 3+65=68 Current State: 31:[99, 68], Operations: ['3+96=99', '3+65=68'] Exploring Operation: 99-68=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 40, 87, 13 ]
71
[ "43-40=3", "87-13=74", "74-3=71" ]
Current State: 71:[43, 40, 87, 13], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [87, 13, 3] Generated Node #2: [87, 13, 3] from Operation: 43-40=3 Current State: 71:[87, 13, 3], Operations: ['43-40=3'] Exploring Operation: 87-13=74, Resulting Numbers: [3, 74] Generated Node #3: [3, 74] from Operation: 87-13=74 Current State: 71:[3, 74], Operations: ['43-40=3', '87-13=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 36, 8, 62, 63 ]
76
[ "8*63=504", "504/36=14", "62+14=76" ]
Current State: 76:[36, 8, 62, 63], Operations: [] Exploring Operation: 8*63=504, Resulting Numbers: [36, 62, 504] Generated Node #2: [36, 62, 504] from Operation: 8*63=504 Current State: 76:[36, 62, 504], Operations: ['8*63=504'] Exploring Operation: 504/36=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 504/36=14 Current State: 76:[62, 14], Operations: ['8*63=504', '504/36=14'] Exploring Operation: 62+14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 81, 21, 23, 26 ]
53
[ "81+21=102", "23+26=49", "102-49=53" ]
Current State: 53:[81, 21, 23, 26], Operations: [] Exploring Operation: 81+21=102, Resulting Numbers: [23, 26, 102] Generated Node #2: [23, 26, 102] from Operation: 81+21=102 Current State: 53:[23, 26, 102], Operations: ['81+21=102'] Exploring Operation: 23+26=49, Resulting Numbers: [102, 49] Generated Node #3: [102, 49] from Operation: 23+26=49 Current State: 53:[102, 49], Operations: ['81+21=102', '23+26=49'] Exploring Operation: 102-49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 72, 72, 9, 90 ]
64
[ "72*72=5184", "90-9=81", "5184/81=64" ]
Current State: 64:[72, 72, 9, 90], Operations: [] Exploring Operation: 72*72=5184, Resulting Numbers: [9, 90, 5184] Generated Node #2: [9, 90, 5184] from Operation: 72*72=5184 Current State: 64:[9, 90, 5184], Operations: ['72*72=5184'] Exploring Operation: 90-9=81, Resulting Numbers: [5184, 81] Generated Node #3: [5184, 81] from Operation: 90-9=81 Current State: 64:[5184, 81], Operations: ['72*72=5184', '90-9=81'] Exploring Operation: 5184/81=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 16, 29, 43 ]
28
[ "28+16=44", "29+43=72", "72-44=28" ]
Current State: 28:[28, 16, 29, 43], Operations: [] Exploring Operation: 28+16=44, Resulting Numbers: [29, 43, 44] Generated Node #2: [29, 43, 44] from Operation: 28+16=44 Current State: 28:[29, 43, 44], Operations: ['28+16=44'] Exploring Operation: 29+43=72, Resulting Numbers: [44, 72] Generated Node #3: [44, 72] from Operation: 29+43=72 Current State: 28:[44, 72], Operations: ['28+16=44', '29+43=72'] Exploring Operation: 72-44=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 64, 11, 36, 86 ]
72
[ "86-64=22", "22/11=2", "36*2=72" ]
Current State: 72:[64, 11, 36, 86], Operations: [] Exploring Operation: 86-64=22, Resulting Numbers: [11, 36, 22] Generated Node #2: [11, 36, 22] from Operation: 86-64=22 Current State: 72:[11, 36, 22], Operations: ['86-64=22'] Exploring Operation: 22/11=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 22/11=2 Current State: 72:[36, 2], Operations: ['86-64=22', '22/11=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 59, 43, 5 ]
62
[ "59-35=24", "43-5=38", "24+38=62" ]
Current State: 62:[35, 59, 43, 5], Operations: [] Exploring Operation: 59-35=24, Resulting Numbers: [43, 5, 24] Generated Node #2: [43, 5, 24] from Operation: 59-35=24 Current State: 62:[43, 5, 24], Operations: ['59-35=24'] Exploring Operation: 43-5=38, Resulting Numbers: [24, 38] Generated Node #3: [24, 38] from Operation: 43-5=38 Current State: 62:[24, 38], Operations: ['59-35=24', '43-5=38'] Exploring Operation: 24+38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 25, 44, 98 ]
97
[ "70-25=45", "44+98=142", "142-45=97" ]
Current State: 97:[70, 25, 44, 98], Operations: [] Exploring Operation: 70-25=45, Resulting Numbers: [44, 98, 45] Generated Node #2: [44, 98, 45] from Operation: 70-25=45 Current State: 97:[44, 98, 45], Operations: ['70-25=45'] Exploring Operation: 44+98=142, Resulting Numbers: [45, 142] Generated Node #3: [45, 142] from Operation: 44+98=142 Current State: 97:[45, 142], Operations: ['70-25=45', '44+98=142'] Exploring Operation: 142-45=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 88, 3, 46 ]
78
[ "33+88=121", "46-3=43", "121-43=78" ]
Current State: 78:[33, 88, 3, 46], Operations: [] Exploring Operation: 33+88=121, Resulting Numbers: [3, 46, 121] Generated Node #2: [3, 46, 121] from Operation: 33+88=121 Current State: 78:[3, 46, 121], Operations: ['33+88=121'] Exploring Operation: 46-3=43, Resulting Numbers: [121, 43] Generated Node #3: [121, 43] from Operation: 46-3=43 Current State: 78:[121, 43], Operations: ['33+88=121', '46-3=43'] Exploring Operation: 121-43=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 69, 65, 46, 99 ]
51
[ "99-65=34", "69*34=2346", "2346/46=51" ]
Current State: 51:[69, 65, 46, 99], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [69, 46, 34] Generated Node #2: [69, 46, 34] from Operation: 99-65=34 Current State: 51:[69, 46, 34], Operations: ['99-65=34'] Exploring Operation: 69*34=2346, Resulting Numbers: [46, 2346] Generated Node #3: [46, 2346] from Operation: 69*34=2346 Current State: 51:[46, 2346], Operations: ['99-65=34', '69*34=2346'] Exploring Operation: 2346/46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 2, 57, 83 ]
13
[ "5+83=88", "88/2=44", "57-44=13" ]
Current State: 13:[5, 2, 57, 83], Operations: [] Exploring Operation: 5+83=88, Resulting Numbers: [2, 57, 88] Generated Node #2: [2, 57, 88] from Operation: 5+83=88 Current State: 13:[2, 57, 88], Operations: ['5+83=88'] Exploring Operation: 88/2=44, Resulting Numbers: [57, 44] Generated Node #3: [57, 44] from Operation: 88/2=44 Current State: 13:[57, 44], Operations: ['5+83=88', '88/2=44'] Exploring Operation: 57-44=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 28, 56, 35 ]
13
[ "56-28=28", "35-28=7", "91/7=13" ]
Current State: 13:[91, 28, 56, 35], Operations: [] Exploring Operation: 56-28=28, Resulting Numbers: [91, 35, 28] Generated Node #2: [91, 35, 28] from Operation: 56-28=28 Current State: 13:[91, 35, 28], Operations: ['56-28=28'] Exploring Operation: 35-28=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 35-28=7 Current State: 13:[91, 7], Operations: ['56-28=28', '35-28=7'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 34, 20, 16 ]
40
[ "24*34=816", "816-16=800", "800/20=40" ]
Current State: 40:[24, 34, 20, 16], Operations: [] Exploring Operation: 24*34=816, Resulting Numbers: [20, 16, 816] Generated Node #2: [20, 16, 816] from Operation: 24*34=816 Current State: 40:[20, 16, 816], Operations: ['24*34=816'] Exploring Operation: 816-16=800, Resulting Numbers: [20, 800] Generated Node #3: [20, 800] from Operation: 816-16=800 Current State: 40:[20, 800], Operations: ['24*34=816', '816-16=800'] Exploring Operation: 800/20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 81, 44, 1 ]
25
[ "99-81=18", "44-1=43", "43-18=25" ]
Current State: 25:[99, 81, 44, 1], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [44, 1, 18] Generated Node #2: [44, 1, 18] from Operation: 99-81=18 Current State: 25:[44, 1, 18], Operations: ['99-81=18'] Exploring Operation: 44-1=43, Resulting Numbers: [18, 43] Generated Node #3: [18, 43] from Operation: 44-1=43 Current State: 25:[18, 43], Operations: ['99-81=18', '44-1=43'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 14, 63, 34 ]
21
[ "34/2=17", "17-14=3", "63/3=21" ]
Current State: 21:[2, 14, 63, 34], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [14, 63, 17] Generated Node #2: [14, 63, 17] from Operation: 34/2=17 Current State: 21:[14, 63, 17], Operations: ['34/2=17'] Exploring Operation: 17-14=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 17-14=3 Current State: 21:[63, 3], Operations: ['34/2=17', '17-14=3'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4