nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
14,
21,
56,
26
] | 51 | [
"56/14=4",
"21+26=47",
"4+47=51"
] | Current State: 51:[14, 21, 56, 26], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [21, 26, 4]
Generated Node #2: [21, 26, 4] from Operation: 56/14=4
Current State: 51:[21, 26, 4], Operations: ['56/14=4']
Exploring Operation: 21+26=47, Resulting Numbers: [4, 47]
Generated Node #3: [4, 47] from Operation: 21+26=47
Current State: 51:[4, 47], Operations: ['56/14=4', '21+26=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
28,
63,
35,
64
] | 63 | [
"63-28=35",
"35/35=1",
"64-1=63"
] | Current State: 63:[28, 63, 35, 64], Operations: []
Exploring Operation: 63-28=35, Resulting Numbers: [35, 64, 35]
Generated Node #2: [35, 64, 35] from Operation: 63-28=35
Current State: 63:[35, 64, 35], Operations: ['63-28=35']
Exploring Operation: 35/35=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 35/35=1
Current State: 63:[64, 1], Operations: ['63-28=35', '35/35=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
56,
52,
87,
27
] | 64 | [
"56-52=4",
"87-27=60",
"4+60=64"
] | Current State: 64:[56, 52, 87, 27], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [87, 27, 4]
Generated Node #2: [87, 27, 4] from Operation: 56-52=4
Current State: 64:[87, 27, 4], Operations: ['56-52=4']
Exploring Operation: 87-27=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 87-27=60
Current State: 64:[4, 60], Operations: ['56-52=4', '87-27=60']
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
72,
78,
74,
66
] | 63 | [
"78-72=6",
"66/6=11",
"74-11=63"
] | Current State: 63:[72, 78, 74, 66], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [74, 66, 6]
Generated Node #2: [74, 66, 6] from Operation: 78-72=6
Current State: 63:[74, 66, 6], Operations: ['78-72=6']
Exploring Operation: 66/6=11, Resulting Numbers: [74, 11]
Generated Node #3: [74, 11] from Operation: 66/6=11
Current State: 63:[74, 11], Operations: ['78-72=6', '66/6=11']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
43,
42,
28,
58
] | 44 | [
"42*58=2436",
"2436/28=87",
"87-43=44"
] | Current State: 44:[43, 42, 28, 58], Operations: []
Exploring Operation: 42*58=2436, Resulting Numbers: [43, 28, 2436]
Generated Node #2: [43, 28, 2436] from Operation: 42*58=2436
Current State: 44:[43, 28, 2436], Operations: ['42*58=2436']
Exploring Operation: 2436/28=87, Resulting Numbers: [43, 87]
Generated Node #3: [43, 87] from Operation: 2436/28=87
Current State: 44:[43, 87], Operations: ['42*58=2436', '2436/28=87']
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
94,
61,
80
] | 18 | [
"61+80=141",
"12*141=1692",
"1692/94=18"
] | Current State: 18:[12, 94, 61, 80], Operations: []
Exploring Operation: 61+80=141, Resulting Numbers: [12, 94, 141]
Generated Node #2: [12, 94, 141] from Operation: 61+80=141
Current State: 18:[12, 94, 141], Operations: ['61+80=141']
Exploring Operation: 12*141=1692, Resulting Numbers: [94, 1692]
Generated Node #3: [94, 1692] from Operation: 12*141=1692
Current State: 18:[94, 1692], Operations: ['61+80=141', '12*141=1692']
Exploring Operation: 1692/94=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
67,
76,
5,
77
] | 91 | [
"76-67=9",
"5+77=82",
"9+82=91"
] | Current State: 91:[67, 76, 5, 77], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [5, 77, 9]
Generated Node #2: [5, 77, 9] from Operation: 76-67=9
Current State: 91:[5, 77, 9], Operations: ['76-67=9']
Exploring Operation: 5+77=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 5+77=82
Current State: 91:[9, 82], Operations: ['76-67=9', '5+77=82']
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
13,
61,
45
] | 33 | [
"36+13=49",
"61-45=16",
"49-16=33"
] | Current State: 33:[36, 13, 61, 45], Operations: []
Exploring Operation: 36+13=49, Resulting Numbers: [61, 45, 49]
Generated Node #2: [61, 45, 49] from Operation: 36+13=49
Current State: 33:[61, 45, 49], Operations: ['36+13=49']
Exploring Operation: 61-45=16, Resulting Numbers: [49, 16]
Generated Node #3: [49, 16] from Operation: 61-45=16
Current State: 33:[49, 16], Operations: ['36+13=49', '61-45=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
27,
85,
38
] | 75 | [
"95+27=122",
"85-38=47",
"122-47=75"
] | Current State: 75:[95, 27, 85, 38], Operations: []
Exploring Operation: 95+27=122, Resulting Numbers: [85, 38, 122]
Generated Node #2: [85, 38, 122] from Operation: 95+27=122
Current State: 75:[85, 38, 122], Operations: ['95+27=122']
Exploring Operation: 85-38=47, Resulting Numbers: [122, 47]
Generated Node #3: [122, 47] from Operation: 85-38=47
Current State: 75:[122, 47], Operations: ['95+27=122', '85-38=47']
Exploring Operation: 122-47=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
56,
55,
52,
28
] | 28 | [
"56+28=84",
"55-52=3",
"84/3=28"
] | Current State: 28:[56, 55, 52, 28], Operations: []
Exploring Operation: 56+28=84, Resulting Numbers: [55, 52, 84]
Generated Node #2: [55, 52, 84] from Operation: 56+28=84
Current State: 28:[55, 52, 84], Operations: ['56+28=84']
Exploring Operation: 55-52=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 55-52=3
Current State: 28:[84, 3], Operations: ['56+28=84', '55-52=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
6,
72,
39,
46
] | 59 | [
"72-6=66",
"46-39=7",
"66-7=59"
] | Current State: 59:[6, 72, 39, 46], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [39, 46, 66]
Generated Node #2: [39, 46, 66] from Operation: 72-6=66
Current State: 59:[39, 46, 66], Operations: ['72-6=66']
Exploring Operation: 46-39=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 46-39=7
Current State: 59:[66, 7], Operations: ['72-6=66', '46-39=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
86,
99,
1,
84
] | 33 | [
"86+1=87",
"87-84=3",
"99/3=33"
] | Current State: 33:[86, 99, 1, 84], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [99, 84, 87]
Generated Node #2: [99, 84, 87] from Operation: 86+1=87
Current State: 33:[99, 84, 87], Operations: ['86+1=87']
Exploring Operation: 87-84=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 87-84=3
Current State: 33:[99, 3], Operations: ['86+1=87', '87-84=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
80,
55,
44
] | 41 | [
"55/11=5",
"80-44=36",
"5+36=41"
] | Current State: 41:[11, 80, 55, 44], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [80, 44, 5]
Generated Node #2: [80, 44, 5] from Operation: 55/11=5
Current State: 41:[80, 44, 5], Operations: ['55/11=5']
Exploring Operation: 80-44=36, Resulting Numbers: [5, 36]
Generated Node #3: [5, 36] from Operation: 80-44=36
Current State: 41:[5, 36], Operations: ['55/11=5', '80-44=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
83,
22,
59,
20
] | 12 | [
"83-59=24",
"22-20=2",
"24/2=12"
] | Current State: 12:[83, 22, 59, 20], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [22, 20, 24]
Generated Node #2: [22, 20, 24] from Operation: 83-59=24
Current State: 12:[22, 20, 24], Operations: ['83-59=24']
Exploring Operation: 22-20=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 22-20=2
Current State: 12:[24, 2], Operations: ['83-59=24', '22-20=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
71,
79,
2,
83
] | 16 | [
"71+79=150",
"2*83=166",
"166-150=16"
] | Current State: 16:[71, 79, 2, 83], Operations: []
Exploring Operation: 71+79=150, Resulting Numbers: [2, 83, 150]
Generated Node #2: [2, 83, 150] from Operation: 71+79=150
Current State: 16:[2, 83, 150], Operations: ['71+79=150']
Exploring Operation: 2*83=166, Resulting Numbers: [150, 166]
Generated Node #3: [150, 166] from Operation: 2*83=166
Current State: 16:[150, 166], Operations: ['71+79=150', '2*83=166']
Exploring Operation: 166-150=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
50,
10,
85,
1
] | 18 | [
"50/10=5",
"85/5=17",
"1+17=18"
] | Current State: 18:[50, 10, 85, 1], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [85, 1, 5]
Generated Node #2: [85, 1, 5] from Operation: 50/10=5
Current State: 18:[85, 1, 5], Operations: ['50/10=5']
Exploring Operation: 85/5=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 85/5=17
Current State: 18:[1, 17], Operations: ['50/10=5', '85/5=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
69,
22,
94,
23
] | 46 | [
"69-22=47",
"94*23=2162",
"2162/47=46"
] | Current State: 46:[69, 22, 94, 23], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [94, 23, 47]
Generated Node #2: [94, 23, 47] from Operation: 69-22=47
Current State: 46:[94, 23, 47], Operations: ['69-22=47']
Exploring Operation: 94*23=2162, Resulting Numbers: [47, 2162]
Generated Node #3: [47, 2162] from Operation: 94*23=2162
Current State: 46:[47, 2162], Operations: ['69-22=47', '94*23=2162']
Exploring Operation: 2162/47=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
41,
67,
32,
25
] | 19 | [
"67-41=26",
"32-25=7",
"26-7=19"
] | Current State: 19:[41, 67, 32, 25], Operations: []
Exploring Operation: 67-41=26, Resulting Numbers: [32, 25, 26]
Generated Node #2: [32, 25, 26] from Operation: 67-41=26
Current State: 19:[32, 25, 26], Operations: ['67-41=26']
Exploring Operation: 32-25=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 32-25=7
Current State: 19:[26, 7], Operations: ['67-41=26', '32-25=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
66,
3,
86,
47
] | 51 | [
"86-47=39",
"3*39=117",
"117-66=51"
] | Current State: 51:[66, 3, 86, 47], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [66, 3, 39]
Generated Node #2: [66, 3, 39] from Operation: 86-47=39
Current State: 51:[66, 3, 39], Operations: ['86-47=39']
Exploring Operation: 3*39=117, Resulting Numbers: [66, 117]
Generated Node #3: [66, 117] from Operation: 3*39=117
Current State: 51:[66, 117], Operations: ['86-47=39', '3*39=117']
Exploring Operation: 117-66=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
4,
57,
20
] | 79 | [
"8/4=2",
"57+20=77",
"2+77=79"
] | Current State: 79:[8, 4, 57, 20], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [57, 20, 2]
Generated Node #2: [57, 20, 2] from Operation: 8/4=2
Current State: 79:[57, 20, 2], Operations: ['8/4=2']
Exploring Operation: 57+20=77, Resulting Numbers: [2, 77]
Generated Node #3: [2, 77] from Operation: 57+20=77
Current State: 79:[2, 77], Operations: ['8/4=2', '57+20=77']
Exploring Operation: 2+77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
48,
73,
21,
57
] | 43 | [
"48+73=121",
"21+57=78",
"121-78=43"
] | Current State: 43:[48, 73, 21, 57], Operations: []
Exploring Operation: 48+73=121, Resulting Numbers: [21, 57, 121]
Generated Node #2: [21, 57, 121] from Operation: 48+73=121
Current State: 43:[21, 57, 121], Operations: ['48+73=121']
Exploring Operation: 21+57=78, Resulting Numbers: [121, 78]
Generated Node #3: [121, 78] from Operation: 21+57=78
Current State: 43:[121, 78], Operations: ['48+73=121', '21+57=78']
Exploring Operation: 121-78=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
75,
58,
5,
80
] | 92 | [
"75-58=17",
"80-5=75",
"17+75=92"
] | Current State: 92:[75, 58, 5, 80], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [5, 80, 17]
Generated Node #2: [5, 80, 17] from Operation: 75-58=17
Current State: 92:[5, 80, 17], Operations: ['75-58=17']
Exploring Operation: 80-5=75, Resulting Numbers: [17, 75]
Generated Node #3: [17, 75] from Operation: 80-5=75
Current State: 92:[17, 75], Operations: ['75-58=17', '80-5=75']
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
70,
91,
50
] | 48 | [
"91-70=21",
"42/21=2",
"50-2=48"
] | Current State: 48:[42, 70, 91, 50], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [42, 50, 21]
Generated Node #2: [42, 50, 21] from Operation: 91-70=21
Current State: 48:[42, 50, 21], Operations: ['91-70=21']
Exploring Operation: 42/21=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 42/21=2
Current State: 48:[50, 2], Operations: ['91-70=21', '42/21=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
36,
51,
90
] | 95 | [
"51-36=15",
"15/3=5",
"90+5=95"
] | Current State: 95:[3, 36, 51, 90], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [3, 90, 15]
Generated Node #2: [3, 90, 15] from Operation: 51-36=15
Current State: 95:[3, 90, 15], Operations: ['51-36=15']
Exploring Operation: 15/3=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 15/3=5
Current State: 95:[90, 5], Operations: ['51-36=15', '15/3=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
18,
65,
65,
73
] | 75 | [
"18+65=83",
"73-65=8",
"83-8=75"
] | Current State: 75:[18, 65, 65, 73], Operations: []
Exploring Operation: 18+65=83, Resulting Numbers: [73, 83]
Generated Node #2: [73, 83] from Operation: 18+65=83
Current State: 75:[73, 83], Operations: ['18+65=83']
Exploring Operation: 73-65=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 73-65=8
Current State: 75:[83, 8], Operations: ['18+65=83', '73-65=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
76,
2,
27,
19
] | 82 | [
"76-2=74",
"27-19=8",
"74+8=82"
] | Current State: 82:[76, 2, 27, 19], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [27, 19, 74]
Generated Node #2: [27, 19, 74] from Operation: 76-2=74
Current State: 82:[27, 19, 74], Operations: ['76-2=74']
Exploring Operation: 27-19=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 27-19=8
Current State: 82:[74, 8], Operations: ['76-2=74', '27-19=8']
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
29,
47,
2,
39
] | 13 | [
"29+39=68",
"68/2=34",
"47-34=13"
] | Current State: 13:[29, 47, 2, 39], Operations: []
Exploring Operation: 29+39=68, Resulting Numbers: [47, 2, 68]
Generated Node #2: [47, 2, 68] from Operation: 29+39=68
Current State: 13:[47, 2, 68], Operations: ['29+39=68']
Exploring Operation: 68/2=34, Resulting Numbers: [47, 34]
Generated Node #3: [47, 34] from Operation: 68/2=34
Current State: 13:[47, 34], Operations: ['29+39=68', '68/2=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
40,
44,
50,
61
] | 10 | [
"61-50=11",
"40*11=440",
"440/44=10"
] | Current State: 10:[40, 44, 50, 61], Operations: []
Exploring Operation: 61-50=11, Resulting Numbers: [40, 44, 11]
Generated Node #2: [40, 44, 11] from Operation: 61-50=11
Current State: 10:[40, 44, 11], Operations: ['61-50=11']
Exploring Operation: 40*11=440, Resulting Numbers: [44, 440]
Generated Node #3: [44, 440] from Operation: 40*11=440
Current State: 10:[44, 440], Operations: ['61-50=11', '40*11=440']
Exploring Operation: 440/44=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
53,
15,
71,
64
] | 31 | [
"53-15=38",
"71-64=7",
"38-7=31"
] | Current State: 31:[53, 15, 71, 64], Operations: []
Exploring Operation: 53-15=38, Resulting Numbers: [71, 64, 38]
Generated Node #2: [71, 64, 38] from Operation: 53-15=38
Current State: 31:[71, 64, 38], Operations: ['53-15=38']
Exploring Operation: 71-64=7, Resulting Numbers: [38, 7]
Generated Node #3: [38, 7] from Operation: 71-64=7
Current State: 31:[38, 7], Operations: ['53-15=38', '71-64=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
15,
51,
41,
62
] | 13 | [
"15*51=765",
"41+765=806",
"806/62=13"
] | Current State: 13:[15, 51, 41, 62], Operations: []
Exploring Operation: 15*51=765, Resulting Numbers: [41, 62, 765]
Generated Node #2: [41, 62, 765] from Operation: 15*51=765
Current State: 13:[41, 62, 765], Operations: ['15*51=765']
Exploring Operation: 41+765=806, Resulting Numbers: [62, 806]
Generated Node #3: [62, 806] from Operation: 41+765=806
Current State: 13:[62, 806], Operations: ['15*51=765', '41+765=806']
Exploring Operation: 806/62=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
36,
84,
79,
20
] | 11 | [
"84-36=48",
"79-20=59",
"59-48=11"
] | Current State: 11:[36, 84, 79, 20], Operations: []
Exploring Operation: 84-36=48, Resulting Numbers: [79, 20, 48]
Generated Node #2: [79, 20, 48] from Operation: 84-36=48
Current State: 11:[79, 20, 48], Operations: ['84-36=48']
Exploring Operation: 79-20=59, Resulting Numbers: [48, 59]
Generated Node #3: [48, 59] from Operation: 79-20=59
Current State: 11:[48, 59], Operations: ['84-36=48', '79-20=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
50,
59,
12
] | 41 | [
"49+59=108",
"108/12=9",
"50-9=41"
] | Current State: 41:[49, 50, 59, 12], Operations: []
Exploring Operation: 49+59=108, Resulting Numbers: [50, 12, 108]
Generated Node #2: [50, 12, 108] from Operation: 49+59=108
Current State: 41:[50, 12, 108], Operations: ['49+59=108']
Exploring Operation: 108/12=9, Resulting Numbers: [50, 9]
Generated Node #3: [50, 9] from Operation: 108/12=9
Current State: 41:[50, 9], Operations: ['49+59=108', '108/12=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
35,
56,
42,
42
] | 40 | [
"56-35=21",
"42/21=2",
"42-2=40"
] | Current State: 40:[35, 56, 42, 42], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [42, 42, 21]
Generated Node #2: [42, 42, 21] from Operation: 56-35=21
Current State: 40:[42, 42, 21], Operations: ['56-35=21']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,40 equal: Goal Reached
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
63,
26,
41,
2
] | 52 | [
"63+41=104",
"26*2=52",
"104-52=52"
] | Current State: 52:[63, 26, 41, 2], Operations: []
Exploring Operation: 63+41=104, Resulting Numbers: [26, 2, 104]
Generated Node #2: [26, 2, 104] from Operation: 63+41=104
Current State: 52:[26, 2, 104], Operations: ['63+41=104']
Exploring Operation: 26*2=52, Resulting Numbers: [104, 52]
Generated Node #3: [104, 52] from Operation: 26*2=52
Current State: 52:[104, 52], Operations: ['63+41=104', '26*2=52']
Exploring Operation: 104-52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
50,
59,
5,
19
] | 96 | [
"50-19=31",
"5*31=155",
"155-59=96"
] | Current State: 96:[50, 59, 5, 19], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [59, 5, 31]
Generated Node #2: [59, 5, 31] from Operation: 50-19=31
Current State: 96:[59, 5, 31], Operations: ['50-19=31']
Exploring Operation: 5*31=155, Resulting Numbers: [59, 155]
Generated Node #3: [59, 155] from Operation: 5*31=155
Current State: 96:[59, 155], Operations: ['50-19=31', '5*31=155']
Exploring Operation: 155-59=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
37,
96,
78
] | 18 | [
"37-36=1",
"96-78=18",
"1*18=18"
] | Current State: 18:[36, 37, 96, 78], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [96, 78, 1]
Generated Node #2: [96, 78, 1] from Operation: 37-36=1
Current State: 18:[96, 78, 1], Operations: ['37-36=1']
Exploring Operation: 96-78=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 96-78=18
Current State: 18:[1, 18], Operations: ['37-36=1', '96-78=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
11,
48,
96,
46
] | 81 | [
"96/48=2",
"46*2=92",
"92-11=81"
] | Current State: 81:[11, 48, 96, 46], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [11, 46, 2]
Generated Node #2: [11, 46, 2] from Operation: 96/48=2
Current State: 81:[11, 46, 2], Operations: ['96/48=2']
Exploring Operation: 46*2=92, Resulting Numbers: [11, 92]
Generated Node #3: [11, 92] from Operation: 46*2=92
Current State: 81:[11, 92], Operations: ['96/48=2', '46*2=92']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
14,
13,
13,
86
] | 69 | [
"14+86=100",
"13*13=169",
"169-100=69"
] | Current State: 69:[14, 13, 13, 86], Operations: []
Exploring Operation: 14+86=100, Resulting Numbers: [13, 13, 100]
Generated Node #2: [13, 13, 100] from Operation: 14+86=100
Current State: 69:[13, 13, 100], Operations: ['14+86=100']
Exploring Operation: 13*13=169, Resulting Numbers: [100, 169]
Generated Node #3: [100, 169] from Operation: 13*13=169
Current State: 69:[100, 169], Operations: ['14+86=100', '13*13=169']
Exploring Operation: 169-100=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
7,
96,
11
] | 53 | [
"6*96=576",
"7+576=583",
"583/11=53"
] | Current State: 53:[6, 7, 96, 11], Operations: []
Exploring Operation: 6*96=576, Resulting Numbers: [7, 11, 576]
Generated Node #2: [7, 11, 576] from Operation: 6*96=576
Current State: 53:[7, 11, 576], Operations: ['6*96=576']
Exploring Operation: 7+576=583, Resulting Numbers: [11, 583]
Generated Node #3: [11, 583] from Operation: 7+576=583
Current State: 53:[11, 583], Operations: ['6*96=576', '7+576=583']
Exploring Operation: 583/11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
46,
78,
78,
67
] | 21 | [
"46+78=124",
"78+67=145",
"145-124=21"
] | Current State: 21:[46, 78, 78, 67], Operations: []
Exploring Operation: 46+78=124, Resulting Numbers: [67, 124]
Generated Node #2: [67, 124] from Operation: 46+78=124
Current State: 21:[67, 124], Operations: ['46+78=124']
Exploring Operation: 78+67=145, Resulting Numbers: [124, 145]
Generated Node #3: [124, 145] from Operation: 78+67=145
Current State: 21:[124, 145], Operations: ['46+78=124', '78+67=145']
Exploring Operation: 145-124=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
13,
52,
64,
36
] | 73 | [
"52/13=4",
"36/4=9",
"64+9=73"
] | Current State: 73:[13, 52, 64, 36], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [64, 36, 4]
Generated Node #2: [64, 36, 4] from Operation: 52/13=4
Current State: 73:[64, 36, 4], Operations: ['52/13=4']
Exploring Operation: 36/4=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 36/4=9
Current State: 73:[64, 9], Operations: ['52/13=4', '36/4=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
38,
91,
51
] | 92 | [
"89-38=51",
"51/51=1",
"91+1=92"
] | Current State: 92:[89, 38, 91, 51], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [91, 51, 51]
Generated Node #2: [91, 51, 51] from Operation: 89-38=51
Current State: 92:[91, 51, 51], Operations: ['89-38=51']
Exploring Operation: 51/51=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 51/51=1
Current State: 92:[91, 1], Operations: ['89-38=51', '51/51=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
44,
65,
3,
82
] | 81 | [
"44+65=109",
"109-82=27",
"3*27=81"
] | Current State: 81:[44, 65, 3, 82], Operations: []
Exploring Operation: 44+65=109, Resulting Numbers: [3, 82, 109]
Generated Node #2: [3, 82, 109] from Operation: 44+65=109
Current State: 81:[3, 82, 109], Operations: ['44+65=109']
Exploring Operation: 109-82=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 109-82=27
Current State: 81:[3, 27], Operations: ['44+65=109', '109-82=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
3,
91,
66,
55
] | 54 | [
"91-55=36",
"36/3=12",
"66-12=54"
] | Current State: 54:[3, 91, 66, 55], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [3, 66, 36]
Generated Node #2: [3, 66, 36] from Operation: 91-55=36
Current State: 54:[3, 66, 36], Operations: ['91-55=36']
Exploring Operation: 36/3=12, Resulting Numbers: [66, 12]
Generated Node #3: [66, 12] from Operation: 36/3=12
Current State: 54:[66, 12], Operations: ['91-55=36', '36/3=12']
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
99,
21,
75,
10
] | 66 | [
"21-10=11",
"99/11=9",
"75-9=66"
] | Current State: 66:[99, 21, 75, 10], Operations: []
Exploring Operation: 21-10=11, Resulting Numbers: [99, 75, 11]
Generated Node #2: [99, 75, 11] from Operation: 21-10=11
Current State: 66:[99, 75, 11], Operations: ['21-10=11']
Exploring Operation: 99/11=9, Resulting Numbers: [75, 9]
Generated Node #3: [75, 9] from Operation: 99/11=9
Current State: 66:[75, 9], Operations: ['21-10=11', '99/11=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
96,
5,
59,
2
] | 47 | [
"96-59=37",
"5*2=10",
"37+10=47"
] | Current State: 47:[96, 5, 59, 2], Operations: []
Exploring Operation: 96-59=37, Resulting Numbers: [5, 2, 37]
Generated Node #2: [5, 2, 37] from Operation: 96-59=37
Current State: 47:[5, 2, 37], Operations: ['96-59=37']
Exploring Operation: 5*2=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 5*2=10
Current State: 47:[37, 10], Operations: ['96-59=37', '5*2=10']
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
22,
70,
14
] | 30 | [
"22-14=8",
"5*8=40",
"70-40=30"
] | Current State: 30:[5, 22, 70, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [5, 70, 8]
Generated Node #2: [5, 70, 8] from Operation: 22-14=8
Current State: 30:[5, 70, 8], Operations: ['22-14=8']
Exploring Operation: 5*8=40, Resulting Numbers: [70, 40]
Generated Node #3: [70, 40] from Operation: 5*8=40
Current State: 30:[70, 40], Operations: ['22-14=8', '5*8=40']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
94,
53,
46
] | 37 | [
"94-64=30",
"53-46=7",
"30+7=37"
] | Current State: 37:[64, 94, 53, 46], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [53, 46, 30]
Generated Node #2: [53, 46, 30] from Operation: 94-64=30
Current State: 37:[53, 46, 30], Operations: ['94-64=30']
Exploring Operation: 53-46=7, Resulting Numbers: [30, 7]
Generated Node #3: [30, 7] from Operation: 53-46=7
Current State: 37:[30, 7], Operations: ['94-64=30', '53-46=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
30,
39,
96,
95
] | 68 | [
"30+39=69",
"96-95=1",
"69-1=68"
] | Current State: 68:[30, 39, 96, 95], Operations: []
Exploring Operation: 30+39=69, Resulting Numbers: [96, 95, 69]
Generated Node #2: [96, 95, 69] from Operation: 30+39=69
Current State: 68:[96, 95, 69], Operations: ['30+39=69']
Exploring Operation: 96-95=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 96-95=1
Current State: 68:[69, 1], Operations: ['30+39=69', '96-95=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
48,
8,
4,
6
] | 96 | [
"48*4=192",
"8-6=2",
"192/2=96"
] | Current State: 96:[48, 8, 4, 6], Operations: []
Exploring Operation: 48*4=192, Resulting Numbers: [8, 6, 192]
Generated Node #2: [8, 6, 192] from Operation: 48*4=192
Current State: 96:[8, 6, 192], Operations: ['48*4=192']
Exploring Operation: 8-6=2, Resulting Numbers: [192, 2]
Generated Node #3: [192, 2] from Operation: 8-6=2
Current State: 96:[192, 2], Operations: ['48*4=192', '8-6=2']
Exploring Operation: 192/2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
9,
13,
57,
4
] | 39 | [
"9+13=22",
"57+4=61",
"61-22=39"
] | Current State: 39:[9, 13, 57, 4], Operations: []
Exploring Operation: 9+13=22, Resulting Numbers: [57, 4, 22]
Generated Node #2: [57, 4, 22] from Operation: 9+13=22
Current State: 39:[57, 4, 22], Operations: ['9+13=22']
Exploring Operation: 57+4=61, Resulting Numbers: [22, 61]
Generated Node #3: [22, 61] from Operation: 57+4=61
Current State: 39:[22, 61], Operations: ['9+13=22', '57+4=61']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
16,
20,
82
] | 66 | [
"16-12=4",
"82-20=62",
"4+62=66"
] | Current State: 66:[12, 16, 20, 82], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [20, 82, 4]
Generated Node #2: [20, 82, 4] from Operation: 16-12=4
Current State: 66:[20, 82, 4], Operations: ['16-12=4']
Exploring Operation: 82-20=62, Resulting Numbers: [4, 62]
Generated Node #3: [4, 62] from Operation: 82-20=62
Current State: 66:[4, 62], Operations: ['16-12=4', '82-20=62']
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
61,
40,
98,
4
] | 12 | [
"61+40=101",
"101-98=3",
"4*3=12"
] | Current State: 12:[61, 40, 98, 4], Operations: []
Exploring Operation: 61+40=101, Resulting Numbers: [98, 4, 101]
Generated Node #2: [98, 4, 101] from Operation: 61+40=101
Current State: 12:[98, 4, 101], Operations: ['61+40=101']
Exploring Operation: 101-98=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 101-98=3
Current State: 12:[4, 3], Operations: ['61+40=101', '101-98=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
56,
39,
1
] | 62 | [
"56-32=24",
"39-1=38",
"24+38=62"
] | Current State: 62:[32, 56, 39, 1], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [39, 1, 24]
Generated Node #2: [39, 1, 24] from Operation: 56-32=24
Current State: 62:[39, 1, 24], Operations: ['56-32=24']
Exploring Operation: 39-1=38, Resulting Numbers: [24, 38]
Generated Node #3: [24, 38] from Operation: 39-1=38
Current State: 62:[24, 38], Operations: ['56-32=24', '39-1=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
62,
5,
42,
7
] | 82 | [
"7-5=2",
"62*2=124",
"124-42=82"
] | Current State: 82:[62, 5, 42, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [62, 42, 2]
Generated Node #2: [62, 42, 2] from Operation: 7-5=2
Current State: 82:[62, 42, 2], Operations: ['7-5=2']
Exploring Operation: 62*2=124, Resulting Numbers: [42, 124]
Generated Node #3: [42, 124] from Operation: 62*2=124
Current State: 82:[42, 124], Operations: ['7-5=2', '62*2=124']
Exploring Operation: 124-42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
27,
24,
54,
51
] | 15 | [
"54-51=3",
"27/3=9",
"24-9=15"
] | Current State: 15:[27, 24, 54, 51], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [27, 24, 3]
Generated Node #2: [27, 24, 3] from Operation: 54-51=3
Current State: 15:[27, 24, 3], Operations: ['54-51=3']
Exploring Operation: 27/3=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 27/3=9
Current State: 15:[24, 9], Operations: ['54-51=3', '27/3=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
6,
59,
28
] | 54 | [
"17+6=23",
"59-28=31",
"23+31=54"
] | Current State: 54:[17, 6, 59, 28], Operations: []
Exploring Operation: 17+6=23, Resulting Numbers: [59, 28, 23]
Generated Node #2: [59, 28, 23] from Operation: 17+6=23
Current State: 54:[59, 28, 23], Operations: ['17+6=23']
Exploring Operation: 59-28=31, Resulting Numbers: [23, 31]
Generated Node #3: [23, 31] from Operation: 59-28=31
Current State: 54:[23, 31], Operations: ['17+6=23', '59-28=31']
Exploring Operation: 23+31=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
41,
15,
47,
54
] | 19 | [
"41-15=26",
"54-47=7",
"26-7=19"
] | Current State: 19:[41, 15, 47, 54], Operations: []
Exploring Operation: 41-15=26, Resulting Numbers: [47, 54, 26]
Generated Node #2: [47, 54, 26] from Operation: 41-15=26
Current State: 19:[47, 54, 26], Operations: ['41-15=26']
Exploring Operation: 54-47=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 54-47=7
Current State: 19:[26, 7], Operations: ['41-15=26', '54-47=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
46,
72,
70,
97
] | 91 | [
"46+72=118",
"97-70=27",
"118-27=91"
] | Current State: 91:[46, 72, 70, 97], Operations: []
Exploring Operation: 46+72=118, Resulting Numbers: [70, 97, 118]
Generated Node #2: [70, 97, 118] from Operation: 46+72=118
Current State: 91:[70, 97, 118], Operations: ['46+72=118']
Exploring Operation: 97-70=27, Resulting Numbers: [118, 27]
Generated Node #3: [118, 27] from Operation: 97-70=27
Current State: 91:[118, 27], Operations: ['46+72=118', '97-70=27']
Exploring Operation: 118-27=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
89,
67,
91,
41
] | 52 | [
"91-89=2",
"67-41=26",
"2*26=52"
] | Current State: 52:[89, 67, 91, 41], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [67, 41, 2]
Generated Node #2: [67, 41, 2] from Operation: 91-89=2
Current State: 52:[67, 41, 2], Operations: ['91-89=2']
Exploring Operation: 67-41=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 67-41=26
Current State: 52:[2, 26], Operations: ['91-89=2', '67-41=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
98,
26,
2,
14
] | 76 | [
"98+26=124",
"124/2=62",
"14+62=76"
] | Current State: 76:[98, 26, 2, 14], Operations: []
Exploring Operation: 98+26=124, Resulting Numbers: [2, 14, 124]
Generated Node #2: [2, 14, 124] from Operation: 98+26=124
Current State: 76:[2, 14, 124], Operations: ['98+26=124']
Exploring Operation: 124/2=62, Resulting Numbers: [14, 62]
Generated Node #3: [14, 62] from Operation: 124/2=62
Current State: 76:[14, 62], Operations: ['98+26=124', '124/2=62']
Exploring Operation: 14+62=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
80,
30,
80,
19
] | 49 | [
"80+30=110",
"80-19=61",
"110-61=49"
] | Current State: 49:[80, 30, 80, 19], Operations: []
Exploring Operation: 80+30=110, Resulting Numbers: [19, 110]
Generated Node #2: [19, 110] from Operation: 80+30=110
Current State: 49:[19, 110], Operations: ['80+30=110']
Exploring Operation: 80-19=61, Resulting Numbers: [110, 61]
Generated Node #3: [110, 61] from Operation: 80-19=61
Current State: 49:[110, 61], Operations: ['80+30=110', '80-19=61']
Exploring Operation: 110-61=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
81,
74,
6,
69
] | 68 | [
"81-74=7",
"6+69=75",
"75-7=68"
] | Current State: 68:[81, 74, 6, 69], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [6, 69, 7]
Generated Node #2: [6, 69, 7] from Operation: 81-74=7
Current State: 68:[6, 69, 7], Operations: ['81-74=7']
Exploring Operation: 6+69=75, Resulting Numbers: [7, 75]
Generated Node #3: [7, 75] from Operation: 6+69=75
Current State: 68:[7, 75], Operations: ['81-74=7', '6+69=75']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
85,
26,
59,
6
] | 12 | [
"85+59=144",
"26*6=156",
"156-144=12"
] | Current State: 12:[85, 26, 59, 6], Operations: []
Exploring Operation: 85+59=144, Resulting Numbers: [26, 6, 144]
Generated Node #2: [26, 6, 144] from Operation: 85+59=144
Current State: 12:[26, 6, 144], Operations: ['85+59=144']
Exploring Operation: 26*6=156, Resulting Numbers: [144, 156]
Generated Node #3: [144, 156] from Operation: 26*6=156
Current State: 12:[144, 156], Operations: ['85+59=144', '26*6=156']
Exploring Operation: 156-144=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
52,
85,
10,
98
] | 55 | [
"85-52=33",
"98-10=88",
"88-33=55"
] | Current State: 55:[52, 85, 10, 98], Operations: []
Exploring Operation: 85-52=33, Resulting Numbers: [10, 98, 33]
Generated Node #2: [10, 98, 33] from Operation: 85-52=33
Current State: 55:[10, 98, 33], Operations: ['85-52=33']
Exploring Operation: 98-10=88, Resulting Numbers: [33, 88]
Generated Node #3: [33, 88] from Operation: 98-10=88
Current State: 55:[33, 88], Operations: ['85-52=33', '98-10=88']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
85,
14,
35,
70
] | 62 | [
"85+70=155",
"14*155=2170",
"2170/35=62"
] | Current State: 62:[85, 14, 35, 70], Operations: []
Exploring Operation: 85+70=155, Resulting Numbers: [14, 35, 155]
Generated Node #2: [14, 35, 155] from Operation: 85+70=155
Current State: 62:[14, 35, 155], Operations: ['85+70=155']
Exploring Operation: 14*155=2170, Resulting Numbers: [35, 2170]
Generated Node #3: [35, 2170] from Operation: 14*155=2170
Current State: 62:[35, 2170], Operations: ['85+70=155', '14*155=2170']
Exploring Operation: 2170/35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
85,
84,
84,
94
] | 85 | [
"84-84=0",
"94*0=0",
"85+0=85"
] | Current State: 85:[85, 84, 84, 94], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [85, 94, 0]
Generated Node #2: [85, 94, 0] from Operation: 84-84=0
Current State: 85:[85, 94, 0], Operations: ['84-84=0']
Exploring Operation: 94*0=0, Resulting Numbers: [85, 0]
Generated Node #3: [85, 0] from Operation: 94*0=0
Current State: 85:[85, 0], Operations: ['84-84=0', '94*0=0']
Exploring Operation: 85+0=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
94,
54,
80,
56
] | 16 | [
"94-54=40",
"80-56=24",
"40-24=16"
] | Current State: 16:[94, 54, 80, 56], Operations: []
Exploring Operation: 94-54=40, Resulting Numbers: [80, 56, 40]
Generated Node #2: [80, 56, 40] from Operation: 94-54=40
Current State: 16:[80, 56, 40], Operations: ['94-54=40']
Exploring Operation: 80-56=24, Resulting Numbers: [40, 24]
Generated Node #3: [40, 24] from Operation: 80-56=24
Current State: 16:[40, 24], Operations: ['94-54=40', '80-56=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
47,
82,
24,
31
] | 20 | [
"82-47=35",
"24+31=55",
"55-35=20"
] | Current State: 20:[47, 82, 24, 31], Operations: []
Exploring Operation: 82-47=35, Resulting Numbers: [24, 31, 35]
Generated Node #2: [24, 31, 35] from Operation: 82-47=35
Current State: 20:[24, 31, 35], Operations: ['82-47=35']
Exploring Operation: 24+31=55, Resulting Numbers: [35, 55]
Generated Node #3: [35, 55] from Operation: 24+31=55
Current State: 20:[35, 55], Operations: ['82-47=35', '24+31=55']
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
80,
22,
7,
15
] | 31 | [
"22-15=7",
"7*7=49",
"80-49=31"
] | Current State: 31:[80, 22, 7, 15], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [80, 7, 7]
Generated Node #2: [80, 7, 7] from Operation: 22-15=7
Current State: 31:[80, 7, 7], Operations: ['22-15=7']
Exploring Operation: 7*7=49, Resulting Numbers: [80, 49]
Generated Node #3: [80, 49] from Operation: 7*7=49
Current State: 31:[80, 49], Operations: ['22-15=7', '7*7=49']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
6,
10,
26
] | 31 | [
"6-1=5",
"10+26=36",
"36-5=31"
] | Current State: 31:[1, 6, 10, 26], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [10, 26, 5]
Generated Node #2: [10, 26, 5] from Operation: 6-1=5
Current State: 31:[10, 26, 5], Operations: ['6-1=5']
Exploring Operation: 10+26=36, Resulting Numbers: [5, 36]
Generated Node #3: [5, 36] from Operation: 10+26=36
Current State: 31:[5, 36], Operations: ['6-1=5', '10+26=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
84,
30,
40,
84
] | 69 | [
"84/84=1",
"30+40=70",
"70-1=69"
] | Current State: 69:[84, 30, 40, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [30, 40, 1]
Generated Node #2: [30, 40, 1] from Operation: 84/84=1
Current State: 69:[30, 40, 1], Operations: ['84/84=1']
Exploring Operation: 30+40=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 30+40=70
Current State: 69:[1, 70], Operations: ['84/84=1', '30+40=70']
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
1,
15,
8
] | 28 | [
"4+1=5",
"15+8=23",
"5+23=28"
] | Current State: 28:[4, 1, 15, 8], Operations: []
Exploring Operation: 4+1=5, Resulting Numbers: [15, 8, 5]
Generated Node #2: [15, 8, 5] from Operation: 4+1=5
Current State: 28:[15, 8, 5], Operations: ['4+1=5']
Exploring Operation: 15+8=23, Resulting Numbers: [5, 23]
Generated Node #3: [5, 23] from Operation: 15+8=23
Current State: 28:[5, 23], Operations: ['4+1=5', '15+8=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
45,
57,
50,
32
] | 94 | [
"57-45=12",
"50+32=82",
"12+82=94"
] | Current State: 94:[45, 57, 50, 32], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [50, 32, 12]
Generated Node #2: [50, 32, 12] from Operation: 57-45=12
Current State: 94:[50, 32, 12], Operations: ['57-45=12']
Exploring Operation: 50+32=82, Resulting Numbers: [12, 82]
Generated Node #3: [12, 82] from Operation: 50+32=82
Current State: 94:[12, 82], Operations: ['57-45=12', '50+32=82']
Exploring Operation: 12+82=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
6,
55,
98,
26
] | 11 | [
"6+55=61",
"98-26=72",
"72-61=11"
] | Current State: 11:[6, 55, 98, 26], Operations: []
Exploring Operation: 6+55=61, Resulting Numbers: [98, 26, 61]
Generated Node #2: [98, 26, 61] from Operation: 6+55=61
Current State: 11:[98, 26, 61], Operations: ['6+55=61']
Exploring Operation: 98-26=72, Resulting Numbers: [61, 72]
Generated Node #3: [61, 72] from Operation: 98-26=72
Current State: 11:[61, 72], Operations: ['6+55=61', '98-26=72']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
44,
64,
2,
25
] | 79 | [
"44+64=108",
"108/2=54",
"25+54=79"
] | Current State: 79:[44, 64, 2, 25], Operations: []
Exploring Operation: 44+64=108, Resulting Numbers: [2, 25, 108]
Generated Node #2: [2, 25, 108] from Operation: 44+64=108
Current State: 79:[2, 25, 108], Operations: ['44+64=108']
Exploring Operation: 108/2=54, Resulting Numbers: [25, 54]
Generated Node #3: [25, 54] from Operation: 108/2=54
Current State: 79:[25, 54], Operations: ['44+64=108', '108/2=54']
Exploring Operation: 25+54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
86,
35,
70,
54
] | 67 | [
"86-35=51",
"70-54=16",
"51+16=67"
] | Current State: 67:[86, 35, 70, 54], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [70, 54, 51]
Generated Node #2: [70, 54, 51] from Operation: 86-35=51
Current State: 67:[70, 54, 51], Operations: ['86-35=51']
Exploring Operation: 70-54=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 70-54=16
Current State: 67:[51, 16], Operations: ['86-35=51', '70-54=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
73,
45,
58,
92
] | 62 | [
"73-45=28",
"92-58=34",
"28+34=62"
] | Current State: 62:[73, 45, 58, 92], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [58, 92, 28]
Generated Node #2: [58, 92, 28] from Operation: 73-45=28
Current State: 62:[58, 92, 28], Operations: ['73-45=28']
Exploring Operation: 92-58=34, Resulting Numbers: [28, 34]
Generated Node #3: [28, 34] from Operation: 92-58=34
Current State: 62:[28, 34], Operations: ['73-45=28', '92-58=34']
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
58,
97,
47,
24
] | 62 | [
"97-58=39",
"47-24=23",
"39+23=62"
] | Current State: 62:[58, 97, 47, 24], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [47, 24, 39]
Generated Node #2: [47, 24, 39] from Operation: 97-58=39
Current State: 62:[47, 24, 39], Operations: ['97-58=39']
Exploring Operation: 47-24=23, Resulting Numbers: [39, 23]
Generated Node #3: [39, 23] from Operation: 47-24=23
Current State: 62:[39, 23], Operations: ['97-58=39', '47-24=23']
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
39,
71,
88,
49
] | 70 | [
"88-39=49",
"49/49=1",
"71-1=70"
] | Current State: 70:[39, 71, 88, 49], Operations: []
Exploring Operation: 88-39=49, Resulting Numbers: [71, 49, 49]
Generated Node #2: [71, 49, 49] from Operation: 88-39=49
Current State: 70:[71, 49, 49], Operations: ['88-39=49']
Exploring Operation: 49/49=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 49/49=1
Current State: 70:[71, 1], Operations: ['88-39=49', '49/49=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
1,
34,
48,
1
] | 84 | [
"1+34=35",
"48+1=49",
"35+49=84"
] | Current State: 84:[1, 34, 48, 1], Operations: []
Exploring Operation: 1+34=35, Resulting Numbers: [48, 35]
Generated Node #2: [48, 35] from Operation: 1+34=35
Current State: 84:[48, 35], Operations: ['1+34=35']
Exploring Operation: 48+1=49, Resulting Numbers: [35, 49]
Generated Node #3: [35, 49] from Operation: 48+1=49
Current State: 84:[35, 49], Operations: ['1+34=35', '48+1=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
30,
61,
61
] | 27 | [
"57-30=27",
"61-61=0",
"27+0=27"
] | Current State: 27:[57, 30, 61, 61], Operations: []
Exploring Operation: 57-30=27, Resulting Numbers: [61, 61, 27]
Generated Node #2: [61, 61, 27] from Operation: 57-30=27
Current State: 27:[61, 61, 27], Operations: ['57-30=27']
Exploring Operation: 61-61=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 61-61=0
Current State: 27:[27, 0], Operations: ['57-30=27', '61-61=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
67,
15,
84,
42
] | 10 | [
"67-15=52",
"84-42=42",
"52-42=10"
] | Current State: 10:[67, 15, 84, 42], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [84, 42, 52]
Generated Node #2: [84, 42, 52] from Operation: 67-15=52
Current State: 10:[84, 42, 52], Operations: ['67-15=52']
Exploring Operation: 84-42=42, Resulting Numbers: [52, 42]
Generated Node #3: [52, 42] from Operation: 84-42=42
Current State: 10:[52, 42], Operations: ['67-15=52', '84-42=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
59,
16,
58,
45
] | 61 | [
"59-58=1",
"16+45=61",
"1*61=61"
] | Current State: 61:[59, 16, 58, 45], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [16, 45, 1]
Generated Node #2: [16, 45, 1] from Operation: 59-58=1
Current State: 61:[16, 45, 1], Operations: ['59-58=1']
Exploring Operation: 16+45=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 16+45=61
Current State: 61:[1, 61], Operations: ['59-58=1', '16+45=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
56,
71,
97
] | 69 | [
"99-56=43",
"97-71=26",
"43+26=69"
] | Current State: 69:[99, 56, 71, 97], Operations: []
Exploring Operation: 99-56=43, Resulting Numbers: [71, 97, 43]
Generated Node #2: [71, 97, 43] from Operation: 99-56=43
Current State: 69:[71, 97, 43], Operations: ['99-56=43']
Exploring Operation: 97-71=26, Resulting Numbers: [43, 26]
Generated Node #3: [43, 26] from Operation: 97-71=26
Current State: 69:[43, 26], Operations: ['99-56=43', '97-71=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
86,
5,
25,
1
] | 17 | [
"86-1=85",
"25/5=5",
"85/5=17"
] | Current State: 17:[86, 5, 25, 1], Operations: []
Exploring Operation: 86-1=85, Resulting Numbers: [5, 25, 85]
Generated Node #2: [5, 25, 85] from Operation: 86-1=85
Current State: 17:[5, 25, 85], Operations: ['86-1=85']
Exploring Operation: 25/5=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 25/5=5
Current State: 17:[85, 5], Operations: ['86-1=85', '25/5=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
14,
55,
43,
38
] | 15 | [
"43-38=5",
"14*5=70",
"70-55=15"
] | Current State: 15:[14, 55, 43, 38], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [14, 55, 5]
Generated Node #2: [14, 55, 5] from Operation: 43-38=5
Current State: 15:[14, 55, 5], Operations: ['43-38=5']
Exploring Operation: 14*5=70, Resulting Numbers: [55, 70]
Generated Node #3: [55, 70] from Operation: 14*5=70
Current State: 15:[55, 70], Operations: ['43-38=5', '14*5=70']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
30,
48,
14,
10
] | 18 | [
"30*10=300",
"300-48=252",
"252/14=18"
] | Current State: 18:[30, 48, 14, 10], Operations: []
Exploring Operation: 30*10=300, Resulting Numbers: [48, 14, 300]
Generated Node #2: [48, 14, 300] from Operation: 30*10=300
Current State: 18:[48, 14, 300], Operations: ['30*10=300']
Exploring Operation: 300-48=252, Resulting Numbers: [14, 252]
Generated Node #3: [14, 252] from Operation: 300-48=252
Current State: 18:[14, 252], Operations: ['30*10=300', '300-48=252']
Exploring Operation: 252/14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
85,
1,
57,
54
] | 89 | [
"85+1=86",
"57-54=3",
"86+3=89"
] | Current State: 89:[85, 1, 57, 54], Operations: []
Exploring Operation: 85+1=86, Resulting Numbers: [57, 54, 86]
Generated Node #2: [57, 54, 86] from Operation: 85+1=86
Current State: 89:[57, 54, 86], Operations: ['85+1=86']
Exploring Operation: 57-54=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 57-54=3
Current State: 89:[86, 3], Operations: ['85+1=86', '57-54=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
97,
30,
88,
98
] | 59 | [
"97+30=127",
"88+98=186",
"186-127=59"
] | Current State: 59:[97, 30, 88, 98], Operations: []
Exploring Operation: 97+30=127, Resulting Numbers: [88, 98, 127]
Generated Node #2: [88, 98, 127] from Operation: 97+30=127
Current State: 59:[88, 98, 127], Operations: ['97+30=127']
Exploring Operation: 88+98=186, Resulting Numbers: [127, 186]
Generated Node #3: [127, 186] from Operation: 88+98=186
Current State: 59:[127, 186], Operations: ['97+30=127', '88+98=186']
Exploring Operation: 186-127=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
69,
39,
24,
33
] | 73 | [
"39-33=6",
"24/6=4",
"69+4=73"
] | Current State: 73:[69, 39, 24, 33], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [69, 24, 6]
Generated Node #2: [69, 24, 6] from Operation: 39-33=6
Current State: 73:[69, 24, 6], Operations: ['39-33=6']
Exploring Operation: 24/6=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 24/6=4
Current State: 73:[69, 4], Operations: ['39-33=6', '24/6=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
29,
62,
86,
36
] | 74 | [
"62*36=2232",
"2232-86=2146",
"2146/29=74"
] | Current State: 74:[29, 62, 86, 36], Operations: []
Exploring Operation: 62*36=2232, Resulting Numbers: [29, 86, 2232]
Generated Node #2: [29, 86, 2232] from Operation: 62*36=2232
Current State: 74:[29, 86, 2232], Operations: ['62*36=2232']
Exploring Operation: 2232-86=2146, Resulting Numbers: [29, 2146]
Generated Node #3: [29, 2146] from Operation: 2232-86=2146
Current State: 74:[29, 2146], Operations: ['62*36=2232', '2232-86=2146']
Exploring Operation: 2146/29=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
54,
87,
51,
13
] | 71 | [
"87-54=33",
"51-13=38",
"33+38=71"
] | Current State: 71:[54, 87, 51, 13], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [51, 13, 33]
Generated Node #2: [51, 13, 33] from Operation: 87-54=33
Current State: 71:[51, 13, 33], Operations: ['87-54=33']
Exploring Operation: 51-13=38, Resulting Numbers: [33, 38]
Generated Node #3: [33, 38] from Operation: 51-13=38
Current State: 71:[33, 38], Operations: ['87-54=33', '51-13=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
42,
14,
46,
28
] | 49 | [
"28-14=14",
"42/14=3",
"46+3=49"
] | Current State: 49:[42, 14, 46, 28], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [42, 46, 14]
Generated Node #2: [42, 46, 14] from Operation: 28-14=14
Current State: 49:[42, 46, 14], Operations: ['28-14=14']
Exploring Operation: 42/14=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 42/14=3
Current State: 49:[46, 3], Operations: ['28-14=14', '42/14=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
36,
77,
68
] | 12 | [
"77-6=71",
"71-68=3",
"36/3=12"
] | Current State: 12:[6, 36, 77, 68], Operations: []
Exploring Operation: 77-6=71, Resulting Numbers: [36, 68, 71]
Generated Node #2: [36, 68, 71] from Operation: 77-6=71
Current State: 12:[36, 68, 71], Operations: ['77-6=71']
Exploring Operation: 71-68=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 71-68=3
Current State: 12:[36, 3], Operations: ['77-6=71', '71-68=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
11,
41,
93
] | 55 | [
"93-11=82",
"82/41=2",
"53+2=55"
] | Current State: 55:[53, 11, 41, 93], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [53, 41, 82]
Generated Node #2: [53, 41, 82] from Operation: 93-11=82
Current State: 55:[53, 41, 82], Operations: ['93-11=82']
Exploring Operation: 82/41=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 82/41=2
Current State: 55:[53, 2], Operations: ['93-11=82', '82/41=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
78,
56,
50,
8
] | 92 | [
"78+56=134",
"50-8=42",
"134-42=92"
] | Current State: 92:[78, 56, 50, 8], Operations: []
Exploring Operation: 78+56=134, Resulting Numbers: [50, 8, 134]
Generated Node #2: [50, 8, 134] from Operation: 78+56=134
Current State: 92:[50, 8, 134], Operations: ['78+56=134']
Exploring Operation: 50-8=42, Resulting Numbers: [134, 42]
Generated Node #3: [134, 42] from Operation: 50-8=42
Current State: 92:[134, 42], Operations: ['78+56=134', '50-8=42']
Exploring Operation: 134-42=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
45,
30,
7,
67
] | 89 | [
"45-30=15",
"7+67=74",
"15+74=89"
] | Current State: 89:[45, 30, 7, 67], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [7, 67, 15]
Generated Node #2: [7, 67, 15] from Operation: 45-30=15
Current State: 89:[7, 67, 15], Operations: ['45-30=15']
Exploring Operation: 7+67=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 7+67=74
Current State: 89:[15, 74], Operations: ['45-30=15', '7+67=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
6,
42,
9
] | 99 | [
"6/2=3",
"42-9=33",
"3*33=99"
] | Current State: 99:[2, 6, 42, 9], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [42, 9, 3]
Generated Node #2: [42, 9, 3] from Operation: 6/2=3
Current State: 99:[42, 9, 3], Operations: ['6/2=3']
Exploring Operation: 42-9=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 42-9=33
Current State: 99:[3, 33], Operations: ['6/2=3', '42-9=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
55,
58,
59
] | 67 | [
"55-5=50",
"58+59=117",
"117-50=67"
] | Current State: 67:[5, 55, 58, 59], Operations: []
Exploring Operation: 55-5=50, Resulting Numbers: [58, 59, 50]
Generated Node #2: [58, 59, 50] from Operation: 55-5=50
Current State: 67:[58, 59, 50], Operations: ['55-5=50']
Exploring Operation: 58+59=117, Resulting Numbers: [50, 117]
Generated Node #3: [50, 117] from Operation: 58+59=117
Current State: 67:[50, 117], Operations: ['55-5=50', '58+59=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
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