Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 9, 88, 81, 77 ]
14
[ "88-81=7", "9*7=63", "77-63=14" ]
Current State: 14:[9, 88, 81, 77], Operations: [] Exploring Operation: 88-81=7, Resulting Numbers: [9, 77, 7] Generated Node #2: [9, 77, 7] from Operation: 88-81=7 Current State: 14:[9, 77, 7], Operations: ['88-81=7'] Exploring Operation: 9*7=63, Resulting Numbers: [77, 63] Generated Node #3: [77, 63] from Operation: 9*7=63 Current State: 14:[77, 63], Operations: ['88-81=7', '9*7=63'] Exploring Operation: 77-63=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 87, 16, 42 ]
60
[ "87-42=45", "16*45=720", "720/12=60" ]
Current State: 60:[12, 87, 16, 42], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [12, 16, 45] Generated Node #2: [12, 16, 45] from Operation: 87-42=45 Current State: 60:[12, 16, 45], Operations: ['87-42=45'] Exploring Operation: 16*45=720, Resulting Numbers: [12, 720] Generated Node #3: [12, 720] from Operation: 16*45=720 Current State: 60:[12, 720], Operations: ['87-42=45', '16*45=720'] Exploring Operation: 720/12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 88, 72, 32 ]
43
[ "88-72=16", "32/16=2", "45-2=43" ]
Current State: 43:[45, 88, 72, 32], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [45, 32, 16] Generated Node #2: [45, 32, 16] from Operation: 88-72=16 Current State: 43:[45, 32, 16], Operations: ['88-72=16'] Exploring Operation: 32/16=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 32/16=2 Current State: 43:[45, 2], Operations: ['88-72=16', '32/16=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 66, 73, 26, 41 ]
11
[ "73-26=47", "47-41=6", "66/6=11" ]
Current State: 11:[66, 73, 26, 41], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [66, 41, 47] Generated Node #2: [66, 41, 47] from Operation: 73-26=47 Current State: 11:[66, 41, 47], Operations: ['73-26=47'] Exploring Operation: 47-41=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 47-41=6 Current State: 11:[66, 6], Operations: ['73-26=47', '47-41=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 63, 48, 61, 34 ]
42
[ "63-48=15", "61-34=27", "15+27=42" ]
Current State: 42:[63, 48, 61, 34], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [61, 34, 15] Generated Node #2: [61, 34, 15] from Operation: 63-48=15 Current State: 42:[61, 34, 15], Operations: ['63-48=15'] Exploring Operation: 61-34=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 61-34=27 Current State: 42:[15, 27], Operations: ['63-48=15', '61-34=27'] Exploring Operation: 15+27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 80, 1, 66 ]
52
[ "80-65=15", "1+66=67", "67-15=52" ]
Current State: 52:[65, 80, 1, 66], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [1, 66, 15] Generated Node #2: [1, 66, 15] from Operation: 80-65=15 Current State: 52:[1, 66, 15], Operations: ['80-65=15'] Exploring Operation: 1+66=67, Resulting Numbers: [15, 67] Generated Node #3: [15, 67] from Operation: 1+66=67 Current State: 52:[15, 67], Operations: ['80-65=15', '1+66=67'] Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 7, 43, 21 ]
18
[ "47-7=40", "43-21=22", "40-22=18" ]
Current State: 18:[47, 7, 43, 21], Operations: [] Exploring Operation: 47-7=40, Resulting Numbers: [43, 21, 40] Generated Node #2: [43, 21, 40] from Operation: 47-7=40 Current State: 18:[43, 21, 40], Operations: ['47-7=40'] Exploring Operation: 43-21=22, Resulting Numbers: [40, 22] Generated Node #3: [40, 22] from Operation: 43-21=22 Current State: 18:[40, 22], Operations: ['47-7=40', '43-21=22'] Exploring Operation: 40-22=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 39, 36, 80 ]
44
[ "40-39=1", "80-36=44", "1*44=44" ]
Current State: 44:[40, 39, 36, 80], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [36, 80, 1] Generated Node #2: [36, 80, 1] from Operation: 40-39=1 Current State: 44:[36, 80, 1], Operations: ['40-39=1'] Exploring Operation: 80-36=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 80-36=44 Current State: 44:[1, 44], Operations: ['40-39=1', '80-36=44'] Exploring Operation: 1*44=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 90, 9, 17, 56 ]
11
[ "90-56=34", "34/17=2", "9+2=11" ]
Current State: 11:[90, 9, 17, 56], Operations: [] Exploring Operation: 90-56=34, Resulting Numbers: [9, 17, 34] Generated Node #2: [9, 17, 34] from Operation: 90-56=34 Current State: 11:[9, 17, 34], Operations: ['90-56=34'] Exploring Operation: 34/17=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 34/17=2 Current State: 11:[9, 2], Operations: ['90-56=34', '34/17=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 61, 7, 9, 43 ]
40
[ "61*7=427", "9*43=387", "427-387=40" ]
Current State: 40:[61, 7, 9, 43], Operations: [] Exploring Operation: 61*7=427, Resulting Numbers: [9, 43, 427] Generated Node #2: [9, 43, 427] from Operation: 61*7=427 Current State: 40:[9, 43, 427], Operations: ['61*7=427'] Exploring Operation: 9*43=387, Resulting Numbers: [427, 387] Generated Node #3: [427, 387] from Operation: 9*43=387 Current State: 40:[427, 387], Operations: ['61*7=427', '9*43=387'] Exploring Operation: 427-387=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 84, 51, 37 ]
49
[ "51-37=14", "84/14=6", "43+6=49" ]
Current State: 49:[43, 84, 51, 37], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [43, 84, 14] Generated Node #2: [43, 84, 14] from Operation: 51-37=14 Current State: 49:[43, 84, 14], Operations: ['51-37=14'] Exploring Operation: 84/14=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 84/14=6 Current State: 49:[43, 6], Operations: ['51-37=14', '84/14=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 23, 4, 97, 13 ]
99
[ "23*13=299", "97+299=396", "396/4=99" ]
Current State: 99:[23, 4, 97, 13], Operations: [] Exploring Operation: 23*13=299, Resulting Numbers: [4, 97, 299] Generated Node #2: [4, 97, 299] from Operation: 23*13=299 Current State: 99:[4, 97, 299], Operations: ['23*13=299'] Exploring Operation: 97+299=396, Resulting Numbers: [4, 396] Generated Node #3: [4, 396] from Operation: 97+299=396 Current State: 99:[4, 396], Operations: ['23*13=299', '97+299=396'] Exploring Operation: 396/4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 16, 49, 76, 19 ]
37
[ "49-16=33", "76/19=4", "33+4=37" ]
Current State: 37:[16, 49, 76, 19], Operations: [] Exploring Operation: 49-16=33, Resulting Numbers: [76, 19, 33] Generated Node #2: [76, 19, 33] from Operation: 49-16=33 Current State: 37:[76, 19, 33], Operations: ['49-16=33'] Exploring Operation: 76/19=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 76/19=4 Current State: 37:[33, 4], Operations: ['49-16=33', '76/19=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 40, 33, 67, 48 ]
54
[ "40+33=73", "67-48=19", "73-19=54" ]
Current State: 54:[40, 33, 67, 48], Operations: [] Exploring Operation: 40+33=73, Resulting Numbers: [67, 48, 73] Generated Node #2: [67, 48, 73] from Operation: 40+33=73 Current State: 54:[67, 48, 73], Operations: ['40+33=73'] Exploring Operation: 67-48=19, Resulting Numbers: [73, 19] Generated Node #3: [73, 19] from Operation: 67-48=19 Current State: 54:[73, 19], Operations: ['40+33=73', '67-48=19'] Exploring Operation: 73-19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 63, 24, 59, 48 ]
76
[ "63+24=87", "59-48=11", "87-11=76" ]
Current State: 76:[63, 24, 59, 48], Operations: [] Exploring Operation: 63+24=87, Resulting Numbers: [59, 48, 87] Generated Node #2: [59, 48, 87] from Operation: 63+24=87 Current State: 76:[59, 48, 87], Operations: ['63+24=87'] Exploring Operation: 59-48=11, Resulting Numbers: [87, 11] Generated Node #3: [87, 11] from Operation: 59-48=11 Current State: 76:[87, 11], Operations: ['63+24=87', '59-48=11'] Exploring Operation: 87-11=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 8, 16, 49 ]
92
[ "16/8=2", "49*2=98", "98-6=92" ]
Current State: 92:[6, 8, 16, 49], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [6, 49, 2] Generated Node #2: [6, 49, 2] from Operation: 16/8=2 Current State: 92:[6, 49, 2], Operations: ['16/8=2'] Exploring Operation: 49*2=98, Resulting Numbers: [6, 98] Generated Node #3: [6, 98] from Operation: 49*2=98 Current State: 92:[6, 98], Operations: ['16/8=2', '49*2=98'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 1, 43, 78, 89 ]
31
[ "43-1=42", "89-78=11", "42-11=31" ]
Current State: 31:[1, 43, 78, 89], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [78, 89, 42] Generated Node #2: [78, 89, 42] from Operation: 43-1=42 Current State: 31:[78, 89, 42], Operations: ['43-1=42'] Exploring Operation: 89-78=11, Resulting Numbers: [42, 11] Generated Node #3: [42, 11] from Operation: 89-78=11 Current State: 31:[42, 11], Operations: ['43-1=42', '89-78=11'] Exploring Operation: 42-11=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 21, 70, 63, 60 ]
67
[ "70*60=4200", "21+4200=4221", "4221/63=67" ]
Current State: 67:[21, 70, 63, 60], Operations: [] Exploring Operation: 70*60=4200, Resulting Numbers: [21, 63, 4200] Generated Node #2: [21, 63, 4200] from Operation: 70*60=4200 Current State: 67:[21, 63, 4200], Operations: ['70*60=4200'] Exploring Operation: 21+4200=4221, Resulting Numbers: [63, 4221] Generated Node #3: [63, 4221] from Operation: 21+4200=4221 Current State: 67:[63, 4221], Operations: ['70*60=4200', '21+4200=4221'] Exploring Operation: 4221/63=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 86, 68, 45 ]
10
[ "37+86=123", "68+45=113", "123-113=10" ]
Current State: 10:[37, 86, 68, 45], Operations: [] Exploring Operation: 37+86=123, Resulting Numbers: [68, 45, 123] Generated Node #2: [68, 45, 123] from Operation: 37+86=123 Current State: 10:[68, 45, 123], Operations: ['37+86=123'] Exploring Operation: 68+45=113, Resulting Numbers: [123, 113] Generated Node #3: [123, 113] from Operation: 68+45=113 Current State: 10:[123, 113], Operations: ['37+86=123', '68+45=113'] Exploring Operation: 123-113=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 27, 92, 2 ]
97
[ "44/2=22", "27+92=119", "119-22=97" ]
Current State: 97:[44, 27, 92, 2], Operations: [] Exploring Operation: 44/2=22, Resulting Numbers: [27, 92, 22] Generated Node #2: [27, 92, 22] from Operation: 44/2=22 Current State: 97:[27, 92, 22], Operations: ['44/2=22'] Exploring Operation: 27+92=119, Resulting Numbers: [22, 119] Generated Node #3: [22, 119] from Operation: 27+92=119 Current State: 97:[22, 119], Operations: ['44/2=22', '27+92=119'] Exploring Operation: 119-22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 21, 2, 81, 39 ]
78
[ "21*2=42", "81+39=120", "120-42=78" ]
Current State: 78:[21, 2, 81, 39], Operations: [] Exploring Operation: 21*2=42, Resulting Numbers: [81, 39, 42] Generated Node #2: [81, 39, 42] from Operation: 21*2=42 Current State: 78:[81, 39, 42], Operations: ['21*2=42'] Exploring Operation: 81+39=120, Resulting Numbers: [42, 120] Generated Node #3: [42, 120] from Operation: 81+39=120 Current State: 78:[42, 120], Operations: ['21*2=42', '81+39=120'] Exploring Operation: 120-42=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 16, 28, 16, 39 ]
99
[ "16+28=44", "16+39=55", "44+55=99" ]
Current State: 99:[16, 28, 16, 39], Operations: [] Exploring Operation: 16+28=44, Resulting Numbers: [39, 44] Generated Node #2: [39, 44] from Operation: 16+28=44 Current State: 99:[39, 44], Operations: ['16+28=44'] Exploring Operation: 16+39=55, Resulting Numbers: [44, 55] Generated Node #3: [44, 55] from Operation: 16+39=55 Current State: 99:[44, 55], Operations: ['16+28=44', '16+39=55'] Exploring Operation: 44+55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 10, 39, 7 ]
24
[ "59+39=98", "98/7=14", "10+14=24" ]
Current State: 24:[59, 10, 39, 7], Operations: [] Exploring Operation: 59+39=98, Resulting Numbers: [10, 7, 98] Generated Node #2: [10, 7, 98] from Operation: 59+39=98 Current State: 24:[10, 7, 98], Operations: ['59+39=98'] Exploring Operation: 98/7=14, Resulting Numbers: [10, 14] Generated Node #3: [10, 14] from Operation: 98/7=14 Current State: 24:[10, 14], Operations: ['59+39=98', '98/7=14'] Exploring Operation: 10+14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 1, 17, 42 ]
73
[ "97+1=98", "42-17=25", "98-25=73" ]
Current State: 73:[97, 1, 17, 42], Operations: [] Exploring Operation: 97+1=98, Resulting Numbers: [17, 42, 98] Generated Node #2: [17, 42, 98] from Operation: 97+1=98 Current State: 73:[17, 42, 98], Operations: ['97+1=98'] Exploring Operation: 42-17=25, Resulting Numbers: [98, 25] Generated Node #3: [98, 25] from Operation: 42-17=25 Current State: 73:[98, 25], Operations: ['97+1=98', '42-17=25'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 28, 38, 26 ]
62
[ "46+28=74", "38-26=12", "74-12=62" ]
Current State: 62:[46, 28, 38, 26], Operations: [] Exploring Operation: 46+28=74, Resulting Numbers: [38, 26, 74] Generated Node #2: [38, 26, 74] from Operation: 46+28=74 Current State: 62:[38, 26, 74], Operations: ['46+28=74'] Exploring Operation: 38-26=12, Resulting Numbers: [74, 12] Generated Node #3: [74, 12] from Operation: 38-26=12 Current State: 62:[74, 12], Operations: ['46+28=74', '38-26=12'] Exploring Operation: 74-12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 58, 99, 45, 70 ]
47
[ "99-70=29", "58/29=2", "45+2=47" ]
Current State: 47:[58, 99, 45, 70], Operations: [] Exploring Operation: 99-70=29, Resulting Numbers: [58, 45, 29] Generated Node #2: [58, 45, 29] from Operation: 99-70=29 Current State: 47:[58, 45, 29], Operations: ['99-70=29'] Exploring Operation: 58/29=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 58/29=2 Current State: 47:[45, 2], Operations: ['99-70=29', '58/29=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 71, 27, 94 ]
13
[ "9+71=80", "94-27=67", "80-67=13" ]
Current State: 13:[9, 71, 27, 94], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [27, 94, 80] Generated Node #2: [27, 94, 80] from Operation: 9+71=80 Current State: 13:[27, 94, 80], Operations: ['9+71=80'] Exploring Operation: 94-27=67, Resulting Numbers: [80, 67] Generated Node #3: [80, 67] from Operation: 94-27=67 Current State: 13:[80, 67], Operations: ['9+71=80', '94-27=67'] Exploring Operation: 80-67=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 46, 58, 69 ]
32
[ "46-25=21", "69-58=11", "21+11=32" ]
Current State: 32:[25, 46, 58, 69], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [58, 69, 21] Generated Node #2: [58, 69, 21] from Operation: 46-25=21 Current State: 32:[58, 69, 21], Operations: ['46-25=21'] Exploring Operation: 69-58=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 69-58=11 Current State: 32:[21, 11], Operations: ['46-25=21', '69-58=11'] Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 83, 27, 13, 73 ]
15
[ "83+73=156", "156/13=12", "27-12=15" ]
Current State: 15:[83, 27, 13, 73], Operations: [] Exploring Operation: 83+73=156, Resulting Numbers: [27, 13, 156] Generated Node #2: [27, 13, 156] from Operation: 83+73=156 Current State: 15:[27, 13, 156], Operations: ['83+73=156'] Exploring Operation: 156/13=12, Resulting Numbers: [27, 12] Generated Node #3: [27, 12] from Operation: 156/13=12 Current State: 15:[27, 12], Operations: ['83+73=156', '156/13=12'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 99, 75, 61 ]
99
[ "99-62=37", "75+61=136", "136-37=99" ]
Current State: 99:[62, 99, 75, 61], Operations: [] Exploring Operation: 99-62=37, Resulting Numbers: [75, 61, 37] Generated Node #2: [75, 61, 37] from Operation: 99-62=37 Current State: 99:[75, 61, 37], Operations: ['99-62=37'] Exploring Operation: 75+61=136, Resulting Numbers: [37, 136] Generated Node #3: [37, 136] from Operation: 75+61=136 Current State: 99:[37, 136], Operations: ['99-62=37', '75+61=136'] Exploring Operation: 136-37=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 15, 70, 41 ]
99
[ "14*15=210", "70+41=111", "210-111=99" ]
Current State: 99:[14, 15, 70, 41], Operations: [] Exploring Operation: 14*15=210, Resulting Numbers: [70, 41, 210] Generated Node #2: [70, 41, 210] from Operation: 14*15=210 Current State: 99:[70, 41, 210], Operations: ['14*15=210'] Exploring Operation: 70+41=111, Resulting Numbers: [210, 111] Generated Node #3: [210, 111] from Operation: 70+41=111 Current State: 99:[210, 111], Operations: ['14*15=210', '70+41=111'] Exploring Operation: 210-111=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 47, 2, 89, 55 ]
76
[ "89-47=42", "42/2=21", "55+21=76" ]
Current State: 76:[47, 2, 89, 55], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [2, 55, 42] Generated Node #2: [2, 55, 42] from Operation: 89-47=42 Current State: 76:[2, 55, 42], Operations: ['89-47=42'] Exploring Operation: 42/2=21, Resulting Numbers: [55, 21] Generated Node #3: [55, 21] from Operation: 42/2=21 Current State: 76:[55, 21], Operations: ['89-47=42', '42/2=21'] Exploring Operation: 55+21=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 2, 75, 57 ]
72
[ "45*2=90", "75-57=18", "90-18=72" ]
Current State: 72:[45, 2, 75, 57], Operations: [] Exploring Operation: 45*2=90, Resulting Numbers: [75, 57, 90] Generated Node #2: [75, 57, 90] from Operation: 45*2=90 Current State: 72:[75, 57, 90], Operations: ['45*2=90'] Exploring Operation: 75-57=18, Resulting Numbers: [90, 18] Generated Node #3: [90, 18] from Operation: 75-57=18 Current State: 72:[90, 18], Operations: ['45*2=90', '75-57=18'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 30, 57, 10 ]
78
[ "90/10=9", "30+57=87", "87-9=78" ]
Current State: 78:[90, 30, 57, 10], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [30, 57, 9] Generated Node #2: [30, 57, 9] from Operation: 90/10=9 Current State: 78:[30, 57, 9], Operations: ['90/10=9'] Exploring Operation: 30+57=87, Resulting Numbers: [9, 87] Generated Node #3: [9, 87] from Operation: 30+57=87 Current State: 78:[9, 87], Operations: ['90/10=9', '30+57=87'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 13, 12, 34, 2 ]
31
[ "13-12=1", "34-2=32", "32-1=31" ]
Current State: 31:[13, 12, 34, 2], Operations: [] Exploring Operation: 13-12=1, Resulting Numbers: [34, 2, 1] Generated Node #2: [34, 2, 1] from Operation: 13-12=1 Current State: 31:[34, 2, 1], Operations: ['13-12=1'] Exploring Operation: 34-2=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 34-2=32 Current State: 31:[1, 32], Operations: ['13-12=1', '34-2=32'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 96, 99, 26 ]
21
[ "99-96=3", "26*3=78", "78-57=21" ]
Current State: 21:[57, 96, 99, 26], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [57, 26, 3] Generated Node #2: [57, 26, 3] from Operation: 99-96=3 Current State: 21:[57, 26, 3], Operations: ['99-96=3'] Exploring Operation: 26*3=78, Resulting Numbers: [57, 78] Generated Node #3: [57, 78] from Operation: 26*3=78 Current State: 21:[57, 78], Operations: ['99-96=3', '26*3=78'] Exploring Operation: 78-57=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 36, 9, 3, 48 ]
48
[ "36/9=4", "4-3=1", "48*1=48" ]
Current State: 48:[36, 9, 3, 48], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [3, 48, 4] Generated Node #2: [3, 48, 4] from Operation: 36/9=4 Current State: 48:[3, 48, 4], Operations: ['36/9=4'] Exploring Operation: 4-3=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 4-3=1 Current State: 48:[48, 1], Operations: ['36/9=4', '4-3=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 20, 76, 13, 3 ]
65
[ "20+13=33", "33/3=11", "76-11=65" ]
Current State: 65:[20, 76, 13, 3], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [76, 3, 33] Generated Node #2: [76, 3, 33] from Operation: 20+13=33 Current State: 65:[76, 3, 33], Operations: ['20+13=33'] Exploring Operation: 33/3=11, Resulting Numbers: [76, 11] Generated Node #3: [76, 11] from Operation: 33/3=11 Current State: 65:[76, 11], Operations: ['20+13=33', '33/3=11'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 22, 24, 12 ]
77
[ "22*12=264", "264/24=11", "88-11=77" ]
Current State: 77:[88, 22, 24, 12], Operations: [] Exploring Operation: 22*12=264, Resulting Numbers: [88, 24, 264] Generated Node #2: [88, 24, 264] from Operation: 22*12=264 Current State: 77:[88, 24, 264], Operations: ['22*12=264'] Exploring Operation: 264/24=11, Resulting Numbers: [88, 11] Generated Node #3: [88, 11] from Operation: 264/24=11 Current State: 77:[88, 11], Operations: ['22*12=264', '264/24=11'] Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 80, 36, 2 ]
22
[ "80-64=16", "36+2=38", "38-16=22" ]
Current State: 22:[64, 80, 36, 2], Operations: [] Exploring Operation: 80-64=16, Resulting Numbers: [36, 2, 16] Generated Node #2: [36, 2, 16] from Operation: 80-64=16 Current State: 22:[36, 2, 16], Operations: ['80-64=16'] Exploring Operation: 36+2=38, Resulting Numbers: [16, 38] Generated Node #3: [16, 38] from Operation: 36+2=38 Current State: 22:[16, 38], Operations: ['80-64=16', '36+2=38'] Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 77, 79, 54, 74 ]
40
[ "79-77=2", "74-54=20", "2*20=40" ]
Current State: 40:[77, 79, 54, 74], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [54, 74, 2] Generated Node #2: [54, 74, 2] from Operation: 79-77=2 Current State: 40:[54, 74, 2], Operations: ['79-77=2'] Exploring Operation: 74-54=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 74-54=20 Current State: 40:[2, 20], Operations: ['79-77=2', '74-54=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 38, 51, 72 ]
20
[ "51-38=13", "4*13=52", "72-52=20" ]
Current State: 20:[4, 38, 51, 72], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [4, 72, 13] Generated Node #2: [4, 72, 13] from Operation: 51-38=13 Current State: 20:[4, 72, 13], Operations: ['51-38=13'] Exploring Operation: 4*13=52, Resulting Numbers: [72, 52] Generated Node #3: [72, 52] from Operation: 4*13=52 Current State: 20:[72, 52], Operations: ['51-38=13', '4*13=52'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 74, 36, 46, 86 ]
70
[ "74+36=110", "86-46=40", "110-40=70" ]
Current State: 70:[74, 36, 46, 86], Operations: [] Exploring Operation: 74+36=110, Resulting Numbers: [46, 86, 110] Generated Node #2: [46, 86, 110] from Operation: 74+36=110 Current State: 70:[46, 86, 110], Operations: ['74+36=110'] Exploring Operation: 86-46=40, Resulting Numbers: [110, 40] Generated Node #3: [110, 40] from Operation: 86-46=40 Current State: 70:[110, 40], Operations: ['74+36=110', '86-46=40'] Exploring Operation: 110-40=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 61, 10, 12, 74 ]
35
[ "61-10=51", "12+74=86", "86-51=35" ]
Current State: 35:[61, 10, 12, 74], Operations: [] Exploring Operation: 61-10=51, Resulting Numbers: [12, 74, 51] Generated Node #2: [12, 74, 51] from Operation: 61-10=51 Current State: 35:[12, 74, 51], Operations: ['61-10=51'] Exploring Operation: 12+74=86, Resulting Numbers: [51, 86] Generated Node #3: [51, 86] from Operation: 12+74=86 Current State: 35:[51, 86], Operations: ['61-10=51', '12+74=86'] Exploring Operation: 86-51=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 82, 96, 38, 10 ]
80
[ "38+10=48", "96/48=2", "82-2=80" ]
Current State: 80:[82, 96, 38, 10], Operations: [] Exploring Operation: 38+10=48, Resulting Numbers: [82, 96, 48] Generated Node #2: [82, 96, 48] from Operation: 38+10=48 Current State: 80:[82, 96, 48], Operations: ['38+10=48'] Exploring Operation: 96/48=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 96/48=2 Current State: 80:[82, 2], Operations: ['38+10=48', '96/48=2'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 40, 21, 61, 91 ]
11
[ "40-21=19", "91-61=30", "30-19=11" ]
Current State: 11:[40, 21, 61, 91], Operations: [] Exploring Operation: 40-21=19, Resulting Numbers: [61, 91, 19] Generated Node #2: [61, 91, 19] from Operation: 40-21=19 Current State: 11:[61, 91, 19], Operations: ['40-21=19'] Exploring Operation: 91-61=30, Resulting Numbers: [19, 30] Generated Node #3: [19, 30] from Operation: 91-61=30 Current State: 11:[19, 30], Operations: ['40-21=19', '91-61=30'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 61, 21, 25 ]
13
[ "61-21=40", "25+40=65", "65/5=13" ]
Current State: 13:[5, 61, 21, 25], Operations: [] Exploring Operation: 61-21=40, Resulting Numbers: [5, 25, 40] Generated Node #2: [5, 25, 40] from Operation: 61-21=40 Current State: 13:[5, 25, 40], Operations: ['61-21=40'] Exploring Operation: 25+40=65, Resulting Numbers: [5, 65] Generated Node #3: [5, 65] from Operation: 25+40=65 Current State: 13:[5, 65], Operations: ['61-21=40', '25+40=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 26, 85, 68, 45 ]
88
[ "26+85=111", "68-45=23", "111-23=88" ]
Current State: 88:[26, 85, 68, 45], Operations: [] Exploring Operation: 26+85=111, Resulting Numbers: [68, 45, 111] Generated Node #2: [68, 45, 111] from Operation: 26+85=111 Current State: 88:[68, 45, 111], Operations: ['26+85=111'] Exploring Operation: 68-45=23, Resulting Numbers: [111, 23] Generated Node #3: [111, 23] from Operation: 68-45=23 Current State: 88:[111, 23], Operations: ['26+85=111', '68-45=23'] Exploring Operation: 111-23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 43, 51, 4, 13 ]
69
[ "43-13=30", "4*30=120", "120-51=69" ]
Current State: 69:[43, 51, 4, 13], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [51, 4, 30] Generated Node #2: [51, 4, 30] from Operation: 43-13=30 Current State: 69:[51, 4, 30], Operations: ['43-13=30'] Exploring Operation: 4*30=120, Resulting Numbers: [51, 120] Generated Node #3: [51, 120] from Operation: 4*30=120 Current State: 69:[51, 120], Operations: ['43-13=30', '4*30=120'] Exploring Operation: 120-51=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 94, 71, 58 ]
60
[ "94/2=47", "71-58=13", "47+13=60" ]
Current State: 60:[2, 94, 71, 58], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [71, 58, 47] Generated Node #2: [71, 58, 47] from Operation: 94/2=47 Current State: 60:[71, 58, 47], Operations: ['94/2=47'] Exploring Operation: 71-58=13, Resulting Numbers: [47, 13] Generated Node #3: [47, 13] from Operation: 71-58=13 Current State: 60:[47, 13], Operations: ['94/2=47', '71-58=13'] Exploring Operation: 47+13=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 67, 43, 47, 15 ]
13
[ "67-15=52", "47-43=4", "52/4=13" ]
Current State: 13:[67, 43, 47, 15], Operations: [] Exploring Operation: 67-15=52, Resulting Numbers: [43, 47, 52] Generated Node #2: [43, 47, 52] from Operation: 67-15=52 Current State: 13:[43, 47, 52], Operations: ['67-15=52'] Exploring Operation: 47-43=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 47-43=4 Current State: 13:[52, 4], Operations: ['67-15=52', '47-43=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 76, 35, 3, 59 ]
86
[ "76-59=17", "3*17=51", "35+51=86" ]
Current State: 86:[76, 35, 3, 59], Operations: [] Exploring Operation: 76-59=17, Resulting Numbers: [35, 3, 17] Generated Node #2: [35, 3, 17] from Operation: 76-59=17 Current State: 86:[35, 3, 17], Operations: ['76-59=17'] Exploring Operation: 3*17=51, Resulting Numbers: [35, 51] Generated Node #3: [35, 51] from Operation: 3*17=51 Current State: 86:[35, 51], Operations: ['76-59=17', '3*17=51'] Exploring Operation: 35+51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 70, 50, 5, 66 ]
49
[ "70+50=120", "5+66=71", "120-71=49" ]
Current State: 49:[70, 50, 5, 66], Operations: [] Exploring Operation: 70+50=120, Resulting Numbers: [5, 66, 120] Generated Node #2: [5, 66, 120] from Operation: 70+50=120 Current State: 49:[5, 66, 120], Operations: ['70+50=120'] Exploring Operation: 5+66=71, Resulting Numbers: [120, 71] Generated Node #3: [120, 71] from Operation: 5+66=71 Current State: 49:[120, 71], Operations: ['70+50=120', '5+66=71'] Exploring Operation: 120-71=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 3, 35, 80, 92 ]
39
[ "92-80=12", "12/3=4", "35+4=39" ]
Current State: 39:[3, 35, 80, 92], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [3, 35, 12] Generated Node #2: [3, 35, 12] from Operation: 92-80=12 Current State: 39:[3, 35, 12], Operations: ['92-80=12'] Exploring Operation: 12/3=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 12/3=4 Current State: 39:[35, 4], Operations: ['92-80=12', '12/3=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 63, 29, 53, 45 ]
84
[ "63+29=92", "53-45=8", "92-8=84" ]
Current State: 84:[63, 29, 53, 45], Operations: [] Exploring Operation: 63+29=92, Resulting Numbers: [53, 45, 92] Generated Node #2: [53, 45, 92] from Operation: 63+29=92 Current State: 84:[53, 45, 92], Operations: ['63+29=92'] Exploring Operation: 53-45=8, Resulting Numbers: [92, 8] Generated Node #3: [92, 8] from Operation: 53-45=8 Current State: 84:[92, 8], Operations: ['63+29=92', '53-45=8'] Exploring Operation: 92-8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 30, 7, 99 ]
64
[ "58-30=28", "99-7=92", "92-28=64" ]
Current State: 64:[58, 30, 7, 99], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [7, 99, 28] Generated Node #2: [7, 99, 28] from Operation: 58-30=28 Current State: 64:[7, 99, 28], Operations: ['58-30=28'] Exploring Operation: 99-7=92, Resulting Numbers: [28, 92] Generated Node #3: [28, 92] from Operation: 99-7=92 Current State: 64:[28, 92], Operations: ['58-30=28', '99-7=92'] Exploring Operation: 92-28=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 22, 77, 98, 29 ]
29
[ "22+77=99", "99-98=1", "29*1=29" ]
Current State: 29:[22, 77, 98, 29], Operations: [] Exploring Operation: 22+77=99, Resulting Numbers: [98, 29, 99] Generated Node #2: [98, 29, 99] from Operation: 22+77=99 Current State: 29:[98, 29, 99], Operations: ['22+77=99'] Exploring Operation: 99-98=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 99-98=1 Current State: 29:[29, 1], Operations: ['22+77=99', '99-98=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 27, 30, 81, 10 ]
57
[ "81-27=54", "30/10=3", "54+3=57" ]
Current State: 57:[27, 30, 81, 10], Operations: [] Exploring Operation: 81-27=54, Resulting Numbers: [30, 10, 54] Generated Node #2: [30, 10, 54] from Operation: 81-27=54 Current State: 57:[30, 10, 54], Operations: ['81-27=54'] Exploring Operation: 30/10=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 30/10=3 Current State: 57:[54, 3], Operations: ['81-27=54', '30/10=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 52, 70, 4, 68 ]
90
[ "70-52=18", "4+68=72", "18+72=90" ]
Current State: 90:[52, 70, 4, 68], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [4, 68, 18] Generated Node #2: [4, 68, 18] from Operation: 70-52=18 Current State: 90:[4, 68, 18], Operations: ['70-52=18'] Exploring Operation: 4+68=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 4+68=72 Current State: 90:[18, 72], Operations: ['70-52=18', '4+68=72'] Exploring Operation: 18+72=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 58, 45, 64, 58 ]
97
[ "58+45=103", "64-58=6", "103-6=97" ]
Current State: 97:[58, 45, 64, 58], Operations: [] Exploring Operation: 58+45=103, Resulting Numbers: [64, 103] Generated Node #2: [64, 103] from Operation: 58+45=103 Current State: 97:[64, 103], Operations: ['58+45=103'] Exploring Operation: 64-58=6, Resulting Numbers: [103, 6] Generated Node #3: [103, 6] from Operation: 64-58=6 Current State: 97:[103, 6], Operations: ['58+45=103', '64-58=6'] Exploring Operation: 103-6=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 69, 34, 72, 71 ]
55
[ "71-69=2", "34/2=17", "72-17=55" ]
Current State: 55:[69, 34, 72, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [34, 72, 2] Generated Node #2: [34, 72, 2] from Operation: 71-69=2 Current State: 55:[34, 72, 2], Operations: ['71-69=2'] Exploring Operation: 34/2=17, Resulting Numbers: [72, 17] Generated Node #3: [72, 17] from Operation: 34/2=17 Current State: 55:[72, 17], Operations: ['71-69=2', '34/2=17'] Exploring Operation: 72-17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 45, 3, 6, 96 ]
42
[ "45+3=48", "96-6=90", "90-48=42" ]
Current State: 42:[45, 3, 6, 96], Operations: [] Exploring Operation: 45+3=48, Resulting Numbers: [6, 96, 48] Generated Node #2: [6, 96, 48] from Operation: 45+3=48 Current State: 42:[6, 96, 48], Operations: ['45+3=48'] Exploring Operation: 96-6=90, Resulting Numbers: [48, 90] Generated Node #3: [48, 90] from Operation: 96-6=90 Current State: 42:[48, 90], Operations: ['45+3=48', '96-6=90'] Exploring Operation: 90-48=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 24, 32, 80 ]
10
[ "16+24=40", "40-32=8", "80/8=10" ]
Current State: 10:[16, 24, 32, 80], Operations: [] Exploring Operation: 16+24=40, Resulting Numbers: [32, 80, 40] Generated Node #2: [32, 80, 40] from Operation: 16+24=40 Current State: 10:[32, 80, 40], Operations: ['16+24=40'] Exploring Operation: 40-32=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 40-32=8 Current State: 10:[80, 8], Operations: ['16+24=40', '40-32=8'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 30, 1, 84 ]
10
[ "80+1=81", "84-81=3", "30/3=10" ]
Current State: 10:[80, 30, 1, 84], Operations: [] Exploring Operation: 80+1=81, Resulting Numbers: [30, 84, 81] Generated Node #2: [30, 84, 81] from Operation: 80+1=81 Current State: 10:[30, 84, 81], Operations: ['80+1=81'] Exploring Operation: 84-81=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 84-81=3 Current State: 10:[30, 3], Operations: ['80+1=81', '84-81=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 11, 54, 22, 83 ]
56
[ "11*54=594", "594/22=27", "83-27=56" ]
Current State: 56:[11, 54, 22, 83], Operations: [] Exploring Operation: 11*54=594, Resulting Numbers: [22, 83, 594] Generated Node #2: [22, 83, 594] from Operation: 11*54=594 Current State: 56:[22, 83, 594], Operations: ['11*54=594'] Exploring Operation: 594/22=27, Resulting Numbers: [83, 27] Generated Node #3: [83, 27] from Operation: 594/22=27 Current State: 56:[83, 27], Operations: ['11*54=594', '594/22=27'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 71, 5, 81 ]
52
[ "81-5=76", "76/4=19", "71-19=52" ]
Current State: 52:[4, 71, 5, 81], Operations: [] Exploring Operation: 81-5=76, Resulting Numbers: [4, 71, 76] Generated Node #2: [4, 71, 76] from Operation: 81-5=76 Current State: 52:[4, 71, 76], Operations: ['81-5=76'] Exploring Operation: 76/4=19, Resulting Numbers: [71, 19] Generated Node #3: [71, 19] from Operation: 76/4=19 Current State: 52:[71, 19], Operations: ['81-5=76', '76/4=19'] Exploring Operation: 71-19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 80, 92, 27 ]
17
[ "22+80=102", "92+27=119", "119-102=17" ]
Current State: 17:[22, 80, 92, 27], Operations: [] Exploring Operation: 22+80=102, Resulting Numbers: [92, 27, 102] Generated Node #2: [92, 27, 102] from Operation: 22+80=102 Current State: 17:[92, 27, 102], Operations: ['22+80=102'] Exploring Operation: 92+27=119, Resulting Numbers: [102, 119] Generated Node #3: [102, 119] from Operation: 92+27=119 Current State: 17:[102, 119], Operations: ['22+80=102', '92+27=119'] Exploring Operation: 119-102=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 14, 33, 42, 22 ]
52
[ "42/14=3", "33+22=55", "55-3=52" ]
Current State: 52:[14, 33, 42, 22], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [33, 22, 3] Generated Node #2: [33, 22, 3] from Operation: 42/14=3 Current State: 52:[33, 22, 3], Operations: ['42/14=3'] Exploring Operation: 33+22=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 33+22=55 Current State: 52:[3, 55], Operations: ['42/14=3', '33+22=55'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 4, 10, 43 ]
59
[ "22+4=26", "43-10=33", "26+33=59" ]
Current State: 59:[22, 4, 10, 43], Operations: [] Exploring Operation: 22+4=26, Resulting Numbers: [10, 43, 26] Generated Node #2: [10, 43, 26] from Operation: 22+4=26 Current State: 59:[10, 43, 26], Operations: ['22+4=26'] Exploring Operation: 43-10=33, Resulting Numbers: [26, 33] Generated Node #3: [26, 33] from Operation: 43-10=33 Current State: 59:[26, 33], Operations: ['22+4=26', '43-10=33'] Exploring Operation: 26+33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 60, 54, 29 ]
22
[ "54/6=9", "60-29=31", "31-9=22" ]
Current State: 22:[6, 60, 54, 29], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [60, 29, 9] Generated Node #2: [60, 29, 9] from Operation: 54/6=9 Current State: 22:[60, 29, 9], Operations: ['54/6=9'] Exploring Operation: 60-29=31, Resulting Numbers: [9, 31] Generated Node #3: [9, 31] from Operation: 60-29=31 Current State: 22:[9, 31], Operations: ['54/6=9', '60-29=31'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 24, 82, 86, 11 ]
68
[ "86-82=4", "11*4=44", "24+44=68" ]
Current State: 68:[24, 82, 86, 11], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [24, 11, 4] Generated Node #2: [24, 11, 4] from Operation: 86-82=4 Current State: 68:[24, 11, 4], Operations: ['86-82=4'] Exploring Operation: 11*4=44, Resulting Numbers: [24, 44] Generated Node #3: [24, 44] from Operation: 11*4=44 Current State: 68:[24, 44], Operations: ['86-82=4', '11*4=44'] Exploring Operation: 24+44=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 97, 33, 31 ]
22
[ "97-73=24", "33-31=2", "24-2=22" ]
Current State: 22:[73, 97, 33, 31], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [33, 31, 24] Generated Node #2: [33, 31, 24] from Operation: 97-73=24 Current State: 22:[33, 31, 24], Operations: ['97-73=24'] Exploring Operation: 33-31=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 33-31=2 Current State: 22:[24, 2], Operations: ['97-73=24', '33-31=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 36, 88, 77 ]
85
[ "88-77=11", "11*11=121", "121-36=85" ]
Current State: 85:[11, 36, 88, 77], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [11, 36, 11] Generated Node #2: [11, 36, 11] from Operation: 88-77=11 Current State: 85:[11, 36, 11], Operations: ['88-77=11'] Exploring Operation: 11*11=121, Resulting Numbers: [36, 121] Generated Node #3: [36, 121] from Operation: 11*11=121 Current State: 85:[36, 121], Operations: ['88-77=11', '11*11=121'] Exploring Operation: 121-36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 63, 64, 32 ]
67
[ "92-63=29", "64+32=96", "96-29=67" ]
Current State: 67:[92, 63, 64, 32], Operations: [] Exploring Operation: 92-63=29, Resulting Numbers: [64, 32, 29] Generated Node #2: [64, 32, 29] from Operation: 92-63=29 Current State: 67:[64, 32, 29], Operations: ['92-63=29'] Exploring Operation: 64+32=96, Resulting Numbers: [29, 96] Generated Node #3: [29, 96] from Operation: 64+32=96 Current State: 67:[29, 96], Operations: ['92-63=29', '64+32=96'] Exploring Operation: 96-29=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 46, 66, 18 ]
64
[ "46-37=9", "18/9=2", "66-2=64" ]
Current State: 64:[37, 46, 66, 18], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [66, 18, 9] Generated Node #2: [66, 18, 9] from Operation: 46-37=9 Current State: 64:[66, 18, 9], Operations: ['46-37=9'] Exploring Operation: 18/9=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 18/9=2 Current State: 64:[66, 2], Operations: ['46-37=9', '18/9=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 67, 46, 14, 91 ]
13
[ "67-46=21", "21-14=7", "91/7=13" ]
Current State: 13:[67, 46, 14, 91], Operations: [] Exploring Operation: 67-46=21, Resulting Numbers: [14, 91, 21] Generated Node #2: [14, 91, 21] from Operation: 67-46=21 Current State: 13:[14, 91, 21], Operations: ['67-46=21'] Exploring Operation: 21-14=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 21-14=7 Current State: 13:[91, 7], Operations: ['67-46=21', '21-14=7'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 15, 13, 25, 14 ]
22
[ "15-13=2", "25-14=11", "2*11=22" ]
Current State: 22:[15, 13, 25, 14], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [25, 14, 2] Generated Node #2: [25, 14, 2] from Operation: 15-13=2 Current State: 22:[25, 14, 2], Operations: ['15-13=2'] Exploring Operation: 25-14=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 25-14=11 Current State: 22:[2, 11], Operations: ['15-13=2', '25-14=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 98, 39, 20 ]
77
[ "42*39=1638", "1638-98=1540", "1540/20=77" ]
Current State: 77:[42, 98, 39, 20], Operations: [] Exploring Operation: 42*39=1638, Resulting Numbers: [98, 20, 1638] Generated Node #2: [98, 20, 1638] from Operation: 42*39=1638 Current State: 77:[98, 20, 1638], Operations: ['42*39=1638'] Exploring Operation: 1638-98=1540, Resulting Numbers: [20, 1540] Generated Node #3: [20, 1540] from Operation: 1638-98=1540 Current State: 77:[20, 1540], Operations: ['42*39=1638', '1638-98=1540'] Exploring Operation: 1540/20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 2, 97, 93 ]
32
[ "64*2=128", "97-93=4", "128/4=32" ]
Current State: 32:[64, 2, 97, 93], Operations: [] Exploring Operation: 64*2=128, Resulting Numbers: [97, 93, 128] Generated Node #2: [97, 93, 128] from Operation: 64*2=128 Current State: 32:[97, 93, 128], Operations: ['64*2=128'] Exploring Operation: 97-93=4, Resulting Numbers: [128, 4] Generated Node #3: [128, 4] from Operation: 97-93=4 Current State: 32:[128, 4], Operations: ['64*2=128', '97-93=4'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 26, 65, 2, 98 ]
40
[ "98-65=33", "2*33=66", "66-26=40" ]
Current State: 40:[26, 65, 2, 98], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [26, 2, 33] Generated Node #2: [26, 2, 33] from Operation: 98-65=33 Current State: 40:[26, 2, 33], Operations: ['98-65=33'] Exploring Operation: 2*33=66, Resulting Numbers: [26, 66] Generated Node #3: [26, 66] from Operation: 2*33=66 Current State: 40:[26, 66], Operations: ['98-65=33', '2*33=66'] Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 52, 45, 21 ]
56
[ "3*21=63", "52-45=7", "63-7=56" ]
Current State: 56:[3, 52, 45, 21], Operations: [] Exploring Operation: 3*21=63, Resulting Numbers: [52, 45, 63] Generated Node #2: [52, 45, 63] from Operation: 3*21=63 Current State: 56:[52, 45, 63], Operations: ['3*21=63'] Exploring Operation: 52-45=7, Resulting Numbers: [63, 7] Generated Node #3: [63, 7] from Operation: 52-45=7 Current State: 56:[63, 7], Operations: ['3*21=63', '52-45=7'] Exploring Operation: 63-7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 16, 40, 4, 23 ]
33
[ "16/4=4", "40/4=10", "23+10=33" ]
Current State: 33:[16, 40, 4, 23], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [40, 23, 4] Generated Node #2: [40, 23, 4] from Operation: 16/4=4 Current State: 33:[40, 23, 4], Operations: ['16/4=4'] Exploring Operation: 40/4=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 40/4=10 Current State: 33:[23, 10], Operations: ['16/4=4', '40/4=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 37, 2, 88 ]
59
[ "2+2=4", "88/4=22", "37+22=59" ]
Current State: 59:[2, 37, 2, 88], Operations: [] Exploring Operation: 2+2=4, Resulting Numbers: [37, 88, 4] Generated Node #2: [37, 88, 4] from Operation: 2+2=4 Current State: 59:[37, 88, 4], Operations: ['2+2=4'] Exploring Operation: 88/4=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 88/4=22 Current State: 59:[37, 22], Operations: ['2+2=4', '88/4=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 70, 24, 38, 35 ]
26
[ "70/35=2", "24/2=12", "38-12=26" ]
Current State: 26:[70, 24, 38, 35], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [24, 38, 2] Generated Node #2: [24, 38, 2] from Operation: 70/35=2 Current State: 26:[24, 38, 2], Operations: ['70/35=2'] Exploring Operation: 24/2=12, Resulting Numbers: [38, 12] Generated Node #3: [38, 12] from Operation: 24/2=12 Current State: 26:[38, 12], Operations: ['70/35=2', '24/2=12'] Exploring Operation: 38-12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 76, 10, 21, 3 ]
85
[ "76-21=55", "10*3=30", "55+30=85" ]
Current State: 85:[76, 10, 21, 3], Operations: [] Exploring Operation: 76-21=55, Resulting Numbers: [10, 3, 55] Generated Node #2: [10, 3, 55] from Operation: 76-21=55 Current State: 85:[10, 3, 55], Operations: ['76-21=55'] Exploring Operation: 10*3=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 10*3=30 Current State: 85:[55, 30], Operations: ['76-21=55', '10*3=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 46, 47, 4 ]
80
[ "77+46=123", "47-4=43", "123-43=80" ]
Current State: 80:[77, 46, 47, 4], Operations: [] Exploring Operation: 77+46=123, Resulting Numbers: [47, 4, 123] Generated Node #2: [47, 4, 123] from Operation: 77+46=123 Current State: 80:[47, 4, 123], Operations: ['77+46=123'] Exploring Operation: 47-4=43, Resulting Numbers: [123, 43] Generated Node #3: [123, 43] from Operation: 47-4=43 Current State: 80:[123, 43], Operations: ['77+46=123', '47-4=43'] Exploring Operation: 123-43=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 34, 8, 4 ]
40
[ "44-34=10", "8-4=4", "10*4=40" ]
Current State: 40:[44, 34, 8, 4], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [8, 4, 10] Generated Node #2: [8, 4, 10] from Operation: 44-34=10 Current State: 40:[8, 4, 10], Operations: ['44-34=10'] Exploring Operation: 8-4=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 8-4=4 Current State: 40:[10, 4], Operations: ['44-34=10', '8-4=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 9, 47, 94 ]
76
[ "9+47=56", "94-56=38", "2*38=76" ]
Current State: 76:[2, 9, 47, 94], Operations: [] Exploring Operation: 9+47=56, Resulting Numbers: [2, 94, 56] Generated Node #2: [2, 94, 56] from Operation: 9+47=56 Current State: 76:[2, 94, 56], Operations: ['9+47=56'] Exploring Operation: 94-56=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 94-56=38 Current State: 76:[2, 38], Operations: ['9+47=56', '94-56=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 99, 39, 95, 71 ]
85
[ "99-95=4", "39*4=156", "156-71=85" ]
Current State: 85:[99, 39, 95, 71], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [39, 71, 4] Generated Node #2: [39, 71, 4] from Operation: 99-95=4 Current State: 85:[39, 71, 4], Operations: ['99-95=4'] Exploring Operation: 39*4=156, Resulting Numbers: [71, 156] Generated Node #3: [71, 156] from Operation: 39*4=156 Current State: 85:[71, 156], Operations: ['99-95=4', '39*4=156'] Exploring Operation: 156-71=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 59, 38, 67, 48 ]
44
[ "67-59=8", "48/8=6", "38+6=44" ]
Current State: 44:[59, 38, 67, 48], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [38, 48, 8] Generated Node #2: [38, 48, 8] from Operation: 67-59=8 Current State: 44:[38, 48, 8], Operations: ['67-59=8'] Exploring Operation: 48/8=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 48/8=6 Current State: 44:[38, 6], Operations: ['67-59=8', '48/8=6'] Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 16, 17, 50, 43 ]
40
[ "16+17=33", "50-43=7", "33+7=40" ]
Current State: 40:[16, 17, 50, 43], Operations: [] Exploring Operation: 16+17=33, Resulting Numbers: [50, 43, 33] Generated Node #2: [50, 43, 33] from Operation: 16+17=33 Current State: 40:[50, 43, 33], Operations: ['16+17=33'] Exploring Operation: 50-43=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 50-43=7 Current State: 40:[33, 7], Operations: ['16+17=33', '50-43=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 77, 13, 15, 90 ]
96
[ "77+13=90", "90/15=6", "90+6=96" ]
Current State: 96:[77, 13, 15, 90], Operations: [] Exploring Operation: 77+13=90, Resulting Numbers: [15, 90, 90] Generated Node #2: [15, 90, 90] from Operation: 77+13=90 Current State: 96:[15, 90, 90], Operations: ['77+13=90'] Exploring Operation: 90/15=6, Resulting Numbers: [6] 6,96 equal: Goal Reached Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 88, 5, 98, 79 ]
81
[ "98-88=10", "10/5=2", "79+2=81" ]
Current State: 81:[88, 5, 98, 79], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [5, 79, 10] Generated Node #2: [5, 79, 10] from Operation: 98-88=10 Current State: 81:[5, 79, 10], Operations: ['98-88=10'] Exploring Operation: 10/5=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 10/5=2 Current State: 81:[79, 2], Operations: ['98-88=10', '10/5=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 61, 2, 12 ]
68
[ "17+61=78", "12-2=10", "78-10=68" ]
Current State: 68:[17, 61, 2, 12], Operations: [] Exploring Operation: 17+61=78, Resulting Numbers: [2, 12, 78] Generated Node #2: [2, 12, 78] from Operation: 17+61=78 Current State: 68:[2, 12, 78], Operations: ['17+61=78'] Exploring Operation: 12-2=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 12-2=10 Current State: 68:[78, 10], Operations: ['17+61=78', '12-2=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 70, 24, 33, 6 ]
77
[ "70*33=2310", "24+6=30", "2310/30=77" ]
Current State: 77:[70, 24, 33, 6], Operations: [] Exploring Operation: 70*33=2310, Resulting Numbers: [24, 6, 2310] Generated Node #2: [24, 6, 2310] from Operation: 70*33=2310 Current State: 77:[24, 6, 2310], Operations: ['70*33=2310'] Exploring Operation: 24+6=30, Resulting Numbers: [2310, 30] Generated Node #3: [2310, 30] from Operation: 24+6=30 Current State: 77:[2310, 30], Operations: ['70*33=2310', '24+6=30'] Exploring Operation: 2310/30=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 31, 87, 49 ]
23
[ "82+31=113", "87+49=136", "136-113=23" ]
Current State: 23:[82, 31, 87, 49], Operations: [] Exploring Operation: 82+31=113, Resulting Numbers: [87, 49, 113] Generated Node #2: [87, 49, 113] from Operation: 82+31=113 Current State: 23:[87, 49, 113], Operations: ['82+31=113'] Exploring Operation: 87+49=136, Resulting Numbers: [113, 136] Generated Node #3: [113, 136] from Operation: 87+49=136 Current State: 23:[113, 136], Operations: ['82+31=113', '87+49=136'] Exploring Operation: 136-113=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 95, 6, 89, 75 ]
74
[ "95-6=89", "89/89=1", "75-1=74" ]
Current State: 74:[95, 6, 89, 75], Operations: [] Exploring Operation: 95-6=89, Resulting Numbers: [89, 75, 89] Generated Node #2: [89, 75, 89] from Operation: 95-6=89 Current State: 74:[89, 75, 89], Operations: ['95-6=89'] Exploring Operation: 89/89=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 89/89=1 Current State: 74:[75, 1], Operations: ['95-6=89', '89/89=1'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 11, 41, 8 ]
82
[ "11-7=4", "41*8=328", "328/4=82" ]
Current State: 82:[7, 11, 41, 8], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [41, 8, 4] Generated Node #2: [41, 8, 4] from Operation: 11-7=4 Current State: 82:[41, 8, 4], Operations: ['11-7=4'] Exploring Operation: 41*8=328, Resulting Numbers: [4, 328] Generated Node #3: [4, 328] from Operation: 41*8=328 Current State: 82:[4, 328], Operations: ['11-7=4', '41*8=328'] Exploring Operation: 328/4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 43, 41, 28 ]
40
[ "52+28=80", "43-41=2", "80/2=40" ]
Current State: 40:[52, 43, 41, 28], Operations: [] Exploring Operation: 52+28=80, Resulting Numbers: [43, 41, 80] Generated Node #2: [43, 41, 80] from Operation: 52+28=80 Current State: 40:[43, 41, 80], Operations: ['52+28=80'] Exploring Operation: 43-41=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 43-41=2 Current State: 40:[80, 2], Operations: ['52+28=80', '43-41=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 13, 72, 28, 76 ]
91
[ "13*28=364", "76-72=4", "364/4=91" ]
Current State: 91:[13, 72, 28, 76], Operations: [] Exploring Operation: 13*28=364, Resulting Numbers: [72, 76, 364] Generated Node #2: [72, 76, 364] from Operation: 13*28=364 Current State: 91:[72, 76, 364], Operations: ['13*28=364'] Exploring Operation: 76-72=4, Resulting Numbers: [364, 4] Generated Node #3: [364, 4] from Operation: 76-72=4 Current State: 91:[364, 4], Operations: ['13*28=364', '76-72=4'] Exploring Operation: 364/4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4