nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
1,
36,
1,
15
] | 66 | [
"1+1=2",
"15*2=30",
"36+30=66"
] | Current State: 66:[1, 36, 1, 15], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [36, 15, 2]
Generated Node #2: [36, 15, 2] from Operation: 1+1=2
Current State: 66:[36, 15, 2], Operations: ['1+1=2']
Exploring Operation: 15*2=30, Resulting Numbers: [36, 30]
Generated Node #3: [36, 30] from Operation: 15*2=30
Current State: 66:[36, 30], Operations: ['1+1=2', '15*2=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
15,
42,
30,
20
] | 49 | [
"15+20=35",
"42*35=1470",
"1470/30=49"
] | Current State: 49:[15, 42, 30, 20], Operations: []
Exploring Operation: 15+20=35, Resulting Numbers: [42, 30, 35]
Generated Node #2: [42, 30, 35] from Operation: 15+20=35
Current State: 49:[42, 30, 35], Operations: ['15+20=35']
Exploring Operation: 42*35=1470, Resulting Numbers: [30, 1470]
Generated Node #3: [30, 1470] from Operation: 42*35=1470
Current State: 49:[30, 1470], Operations: ['15+20=35', '42*35=1470']
Exploring Operation: 1470/30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
85,
70,
80,
80
] | 50 | [
"85-80=5",
"80-70=10",
"5*10=50"
] | Current State: 50:[85, 70, 80, 80], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [70, 5]
Generated Node #2: [70, 5] from Operation: 85-80=5
Current State: 50:[70, 5], Operations: ['85-80=5']
Exploring Operation: 80-70=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 80-70=10
Current State: 50:[5, 10], Operations: ['85-80=5', '80-70=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
22,
12,
82,
30
] | 86 | [
"22+12=34",
"82-30=52",
"34+52=86"
] | Current State: 86:[22, 12, 82, 30], Operations: []
Exploring Operation: 22+12=34, Resulting Numbers: [82, 30, 34]
Generated Node #2: [82, 30, 34] from Operation: 22+12=34
Current State: 86:[82, 30, 34], Operations: ['22+12=34']
Exploring Operation: 82-30=52, Resulting Numbers: [34, 52]
Generated Node #3: [34, 52] from Operation: 82-30=52
Current State: 86:[34, 52], Operations: ['22+12=34', '82-30=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
37,
25,
49,
38
] | 51 | [
"37+25=62",
"49-38=11",
"62-11=51"
] | Current State: 51:[37, 25, 49, 38], Operations: []
Exploring Operation: 37+25=62, Resulting Numbers: [49, 38, 62]
Generated Node #2: [49, 38, 62] from Operation: 37+25=62
Current State: 51:[49, 38, 62], Operations: ['37+25=62']
Exploring Operation: 49-38=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 49-38=11
Current State: 51:[62, 11], Operations: ['37+25=62', '49-38=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
72,
83,
57,
13
] | 70 | [
"83-57=26",
"26/13=2",
"72-2=70"
] | Current State: 70:[72, 83, 57, 13], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [72, 13, 26]
Generated Node #2: [72, 13, 26] from Operation: 83-57=26
Current State: 70:[72, 13, 26], Operations: ['83-57=26']
Exploring Operation: 26/13=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 26/13=2
Current State: 70:[72, 2], Operations: ['83-57=26', '26/13=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
95,
56,
35,
26
] | 48 | [
"95-56=39",
"35-26=9",
"39+9=48"
] | Current State: 48:[95, 56, 35, 26], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [35, 26, 39]
Generated Node #2: [35, 26, 39] from Operation: 95-56=39
Current State: 48:[35, 26, 39], Operations: ['95-56=39']
Exploring Operation: 35-26=9, Resulting Numbers: [39, 9]
Generated Node #3: [39, 9] from Operation: 35-26=9
Current State: 48:[39, 9], Operations: ['95-56=39', '35-26=9']
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
69,
48,
27,
53
] | 47 | [
"69-48=21",
"53-27=26",
"21+26=47"
] | Current State: 47:[69, 48, 27, 53], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [27, 53, 21]
Generated Node #2: [27, 53, 21] from Operation: 69-48=21
Current State: 47:[27, 53, 21], Operations: ['69-48=21']
Exploring Operation: 53-27=26, Resulting Numbers: [21, 26]
Generated Node #3: [21, 26] from Operation: 53-27=26
Current State: 47:[21, 26], Operations: ['69-48=21', '53-27=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
49,
18,
21,
5
] | 83 | [
"49+18=67",
"21-5=16",
"67+16=83"
] | Current State: 83:[49, 18, 21, 5], Operations: []
Exploring Operation: 49+18=67, Resulting Numbers: [21, 5, 67]
Generated Node #2: [21, 5, 67] from Operation: 49+18=67
Current State: 83:[21, 5, 67], Operations: ['49+18=67']
Exploring Operation: 21-5=16, Resulting Numbers: [67, 16]
Generated Node #3: [67, 16] from Operation: 21-5=16
Current State: 83:[67, 16], Operations: ['49+18=67', '21-5=16']
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
56,
7,
39,
12
] | 100 | [
"56-7=49",
"39+12=51",
"49+51=100"
] | Current State: 100:[56, 7, 39, 12], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [39, 12, 49]
Generated Node #2: [39, 12, 49] from Operation: 56-7=49
Current State: 100:[39, 12, 49], Operations: ['56-7=49']
Exploring Operation: 39+12=51, Resulting Numbers: [49, 51]
Generated Node #3: [49, 51] from Operation: 39+12=51
Current State: 100:[49, 51], Operations: ['56-7=49', '39+12=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
21,
88,
46
] | 73 | [
"21*46=966",
"966/6=161",
"161-88=73"
] | Current State: 73:[6, 21, 88, 46], Operations: []
Exploring Operation: 21*46=966, Resulting Numbers: [6, 88, 966]
Generated Node #2: [6, 88, 966] from Operation: 21*46=966
Current State: 73:[6, 88, 966], Operations: ['21*46=966']
Exploring Operation: 966/6=161, Resulting Numbers: [88, 161]
Generated Node #3: [88, 161] from Operation: 966/6=161
Current State: 73:[88, 161], Operations: ['21*46=966', '966/6=161']
Exploring Operation: 161-88=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
79,
4,
2,
60
] | 34 | [
"79-60=19",
"2*19=38",
"38-4=34"
] | Current State: 34:[79, 4, 2, 60], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [4, 2, 19]
Generated Node #2: [4, 2, 19] from Operation: 79-60=19
Current State: 34:[4, 2, 19], Operations: ['79-60=19']
Exploring Operation: 2*19=38, Resulting Numbers: [4, 38]
Generated Node #3: [4, 38] from Operation: 2*19=38
Current State: 34:[4, 38], Operations: ['79-60=19', '2*19=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
19,
7,
8,
1
] | 97 | [
"19-7=12",
"8*12=96",
"1+96=97"
] | Current State: 97:[19, 7, 8, 1], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [8, 1, 12]
Generated Node #2: [8, 1, 12] from Operation: 19-7=12
Current State: 97:[8, 1, 12], Operations: ['19-7=12']
Exploring Operation: 8*12=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 8*12=96
Current State: 97:[1, 96], Operations: ['19-7=12', '8*12=96']
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
63,
77,
76,
90
] | 10 | [
"63+77=140",
"90-76=14",
"140/14=10"
] | Current State: 10:[63, 77, 76, 90], Operations: []
Exploring Operation: 63+77=140, Resulting Numbers: [76, 90, 140]
Generated Node #2: [76, 90, 140] from Operation: 63+77=140
Current State: 10:[76, 90, 140], Operations: ['63+77=140']
Exploring Operation: 90-76=14, Resulting Numbers: [140, 14]
Generated Node #3: [140, 14] from Operation: 90-76=14
Current State: 10:[140, 14], Operations: ['63+77=140', '90-76=14']
Exploring Operation: 140/14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
71,
52,
78,
32
] | 13 | [
"71+52=123",
"78+32=110",
"123-110=13"
] | Current State: 13:[71, 52, 78, 32], Operations: []
Exploring Operation: 71+52=123, Resulting Numbers: [78, 32, 123]
Generated Node #2: [78, 32, 123] from Operation: 71+52=123
Current State: 13:[78, 32, 123], Operations: ['71+52=123']
Exploring Operation: 78+32=110, Resulting Numbers: [123, 110]
Generated Node #3: [123, 110] from Operation: 78+32=110
Current State: 13:[123, 110], Operations: ['71+52=123', '78+32=110']
Exploring Operation: 123-110=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
63,
71,
2,
62
] | 23 | [
"71-63=8",
"62/2=31",
"31-8=23"
] | Current State: 23:[63, 71, 2, 62], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [2, 62, 8]
Generated Node #2: [2, 62, 8] from Operation: 71-63=8
Current State: 23:[2, 62, 8], Operations: ['71-63=8']
Exploring Operation: 62/2=31, Resulting Numbers: [8, 31]
Generated Node #3: [8, 31] from Operation: 62/2=31
Current State: 23:[8, 31], Operations: ['71-63=8', '62/2=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
83,
66,
63,
41
] | 44 | [
"83-41=42",
"66*42=2772",
"2772/63=44"
] | Current State: 44:[83, 66, 63, 41], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [66, 63, 42]
Generated Node #2: [66, 63, 42] from Operation: 83-41=42
Current State: 44:[66, 63, 42], Operations: ['83-41=42']
Exploring Operation: 66*42=2772, Resulting Numbers: [63, 2772]
Generated Node #3: [63, 2772] from Operation: 66*42=2772
Current State: 44:[63, 2772], Operations: ['83-41=42', '66*42=2772']
Exploring Operation: 2772/63=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
15,
77,
27,
61
] | 28 | [
"77-15=62",
"61-27=34",
"62-34=28"
] | Current State: 28:[15, 77, 27, 61], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [27, 61, 62]
Generated Node #2: [27, 61, 62] from Operation: 77-15=62
Current State: 28:[27, 61, 62], Operations: ['77-15=62']
Exploring Operation: 61-27=34, Resulting Numbers: [62, 34]
Generated Node #3: [62, 34] from Operation: 61-27=34
Current State: 28:[62, 34], Operations: ['77-15=62', '61-27=34']
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
56,
38,
28,
21
] | 45 | [
"56+38=94",
"28+21=49",
"94-49=45"
] | Current State: 45:[56, 38, 28, 21], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [28, 21, 94]
Generated Node #2: [28, 21, 94] from Operation: 56+38=94
Current State: 45:[28, 21, 94], Operations: ['56+38=94']
Exploring Operation: 28+21=49, Resulting Numbers: [94, 49]
Generated Node #3: [94, 49] from Operation: 28+21=49
Current State: 45:[94, 49], Operations: ['56+38=94', '28+21=49']
Exploring Operation: 94-49=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
51,
39,
58,
36
] | 34 | [
"51-39=12",
"58-36=22",
"12+22=34"
] | Current State: 34:[51, 39, 58, 36], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [58, 36, 12]
Generated Node #2: [58, 36, 12] from Operation: 51-39=12
Current State: 34:[58, 36, 12], Operations: ['51-39=12']
Exploring Operation: 58-36=22, Resulting Numbers: [12, 22]
Generated Node #3: [12, 22] from Operation: 58-36=22
Current State: 34:[12, 22], Operations: ['51-39=12', '58-36=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
25,
51,
71,
13
] | 32 | [
"51-25=26",
"71-13=58",
"58-26=32"
] | Current State: 32:[25, 51, 71, 13], Operations: []
Exploring Operation: 51-25=26, Resulting Numbers: [71, 13, 26]
Generated Node #2: [71, 13, 26] from Operation: 51-25=26
Current State: 32:[71, 13, 26], Operations: ['51-25=26']
Exploring Operation: 71-13=58, Resulting Numbers: [26, 58]
Generated Node #3: [26, 58] from Operation: 71-13=58
Current State: 32:[26, 58], Operations: ['51-25=26', '71-13=58']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
18,
33,
5,
69
] | 59 | [
"33-18=15",
"5+69=74",
"74-15=59"
] | Current State: 59:[18, 33, 5, 69], Operations: []
Exploring Operation: 33-18=15, Resulting Numbers: [5, 69, 15]
Generated Node #2: [5, 69, 15] from Operation: 33-18=15
Current State: 59:[5, 69, 15], Operations: ['33-18=15']
Exploring Operation: 5+69=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 5+69=74
Current State: 59:[15, 74], Operations: ['33-18=15', '5+69=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
69,
72,
71,
72
] | 72 | [
"71-69=2",
"72+72=144",
"144/2=72"
] | Current State: 72:[69, 72, 71, 72], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [72, 72, 2]
Generated Node #2: [72, 72, 2] from Operation: 71-69=2
Current State: 72:[72, 72, 2], Operations: ['71-69=2']
Exploring Operation: 72+72=144, Resulting Numbers: [2, 144]
Generated Node #3: [2, 144] from Operation: 72+72=144
Current State: 72:[2, 144], Operations: ['71-69=2', '72+72=144']
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
31,
67,
35,
9
] | 72 | [
"31+67=98",
"35-9=26",
"98-26=72"
] | Current State: 72:[31, 67, 35, 9], Operations: []
Exploring Operation: 31+67=98, Resulting Numbers: [35, 9, 98]
Generated Node #2: [35, 9, 98] from Operation: 31+67=98
Current State: 72:[35, 9, 98], Operations: ['31+67=98']
Exploring Operation: 35-9=26, Resulting Numbers: [98, 26]
Generated Node #3: [98, 26] from Operation: 35-9=26
Current State: 72:[98, 26], Operations: ['31+67=98', '35-9=26']
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
59,
18,
12,
56
] | 33 | [
"59+18=77",
"56-12=44",
"77-44=33"
] | Current State: 33:[59, 18, 12, 56], Operations: []
Exploring Operation: 59+18=77, Resulting Numbers: [12, 56, 77]
Generated Node #2: [12, 56, 77] from Operation: 59+18=77
Current State: 33:[12, 56, 77], Operations: ['59+18=77']
Exploring Operation: 56-12=44, Resulting Numbers: [77, 44]
Generated Node #3: [77, 44] from Operation: 56-12=44
Current State: 33:[77, 44], Operations: ['59+18=77', '56-12=44']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
43,
37,
16
] | 69 | [
"5+43=48",
"37-16=21",
"48+21=69"
] | Current State: 69:[5, 43, 37, 16], Operations: []
Exploring Operation: 5+43=48, Resulting Numbers: [37, 16, 48]
Generated Node #2: [37, 16, 48] from Operation: 5+43=48
Current State: 69:[37, 16, 48], Operations: ['5+43=48']
Exploring Operation: 37-16=21, Resulting Numbers: [48, 21]
Generated Node #3: [48, 21] from Operation: 37-16=21
Current State: 69:[48, 21], Operations: ['5+43=48', '37-16=21']
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
27,
72,
17,
28
] | 55 | [
"28-27=1",
"72-17=55",
"1*55=55"
] | Current State: 55:[27, 72, 17, 28], Operations: []
Exploring Operation: 28-27=1, Resulting Numbers: [72, 17, 1]
Generated Node #2: [72, 17, 1] from Operation: 28-27=1
Current State: 55:[72, 17, 1], Operations: ['28-27=1']
Exploring Operation: 72-17=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 72-17=55
Current State: 55:[1, 55], Operations: ['28-27=1', '72-17=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
20,
96,
26,
7
] | 54 | [
"26-20=6",
"7*6=42",
"96-42=54"
] | Current State: 54:[20, 96, 26, 7], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [96, 7, 6]
Generated Node #2: [96, 7, 6] from Operation: 26-20=6
Current State: 54:[96, 7, 6], Operations: ['26-20=6']
Exploring Operation: 7*6=42, Resulting Numbers: [96, 42]
Generated Node #3: [96, 42] from Operation: 7*6=42
Current State: 54:[96, 42], Operations: ['26-20=6', '7*6=42']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
2,
26,
72,
58
] | 75 | [
"58/2=29",
"72-26=46",
"29+46=75"
] | Current State: 75:[2, 26, 72, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [26, 72, 29]
Generated Node #2: [26, 72, 29] from Operation: 58/2=29
Current State: 75:[26, 72, 29], Operations: ['58/2=29']
Exploring Operation: 72-26=46, Resulting Numbers: [29, 46]
Generated Node #3: [29, 46] from Operation: 72-26=46
Current State: 75:[29, 46], Operations: ['58/2=29', '72-26=46']
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
50,
44,
71,
39
] | 81 | [
"44-39=5",
"50/5=10",
"71+10=81"
] | Current State: 81:[50, 44, 71, 39], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [50, 71, 5]
Generated Node #2: [50, 71, 5] from Operation: 44-39=5
Current State: 81:[50, 71, 5], Operations: ['44-39=5']
Exploring Operation: 50/5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 50/5=10
Current State: 81:[71, 10], Operations: ['44-39=5', '50/5=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
93,
45,
90
] | 84 | [
"90-45=45",
"45/5=9",
"93-9=84"
] | Current State: 84:[5, 93, 45, 90], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [5, 93, 45]
Generated Node #2: [5, 93, 45] from Operation: 90-45=45
Current State: 84:[5, 93, 45], Operations: ['90-45=45']
Exploring Operation: 45/5=9, Resulting Numbers: [93, 9]
Generated Node #3: [93, 9] from Operation: 45/5=9
Current State: 84:[93, 9], Operations: ['90-45=45', '45/5=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
44,
82,
76
] | 65 | [
"15+44=59",
"82-76=6",
"59+6=65"
] | Current State: 65:[15, 44, 82, 76], Operations: []
Exploring Operation: 15+44=59, Resulting Numbers: [82, 76, 59]
Generated Node #2: [82, 76, 59] from Operation: 15+44=59
Current State: 65:[82, 76, 59], Operations: ['15+44=59']
Exploring Operation: 82-76=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 82-76=6
Current State: 65:[59, 6], Operations: ['15+44=59', '82-76=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
17,
3,
21,
56
] | 16 | [
"17*3=51",
"56-21=35",
"51-35=16"
] | Current State: 16:[17, 3, 21, 56], Operations: []
Exploring Operation: 17*3=51, Resulting Numbers: [21, 56, 51]
Generated Node #2: [21, 56, 51] from Operation: 17*3=51
Current State: 16:[21, 56, 51], Operations: ['17*3=51']
Exploring Operation: 56-21=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 56-21=35
Current State: 16:[51, 35], Operations: ['17*3=51', '56-21=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
60,
22,
84,
58
] | 73 | [
"60-58=2",
"22/2=11",
"84-11=73"
] | Current State: 73:[60, 22, 84, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [22, 84, 2]
Generated Node #2: [22, 84, 2] from Operation: 60-58=2
Current State: 73:[22, 84, 2], Operations: ['60-58=2']
Exploring Operation: 22/2=11, Resulting Numbers: [84, 11]
Generated Node #3: [84, 11] from Operation: 22/2=11
Current State: 73:[84, 11], Operations: ['60-58=2', '22/2=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
33,
39,
57,
21
] | 64 | [
"33*39=1287",
"57+1287=1344",
"1344/21=64"
] | Current State: 64:[33, 39, 57, 21], Operations: []
Exploring Operation: 33*39=1287, Resulting Numbers: [57, 21, 1287]
Generated Node #2: [57, 21, 1287] from Operation: 33*39=1287
Current State: 64:[57, 21, 1287], Operations: ['33*39=1287']
Exploring Operation: 57+1287=1344, Resulting Numbers: [21, 1344]
Generated Node #3: [21, 1344] from Operation: 57+1287=1344
Current State: 64:[21, 1344], Operations: ['33*39=1287', '57+1287=1344']
Exploring Operation: 1344/21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
27,
56,
96,
89
] | 76 | [
"27+56=83",
"96-89=7",
"83-7=76"
] | Current State: 76:[27, 56, 96, 89], Operations: []
Exploring Operation: 27+56=83, Resulting Numbers: [96, 89, 83]
Generated Node #2: [96, 89, 83] from Operation: 27+56=83
Current State: 76:[96, 89, 83], Operations: ['27+56=83']
Exploring Operation: 96-89=7, Resulting Numbers: [83, 7]
Generated Node #3: [83, 7] from Operation: 96-89=7
Current State: 76:[83, 7], Operations: ['27+56=83', '96-89=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
58,
23,
2,
21
] | 97 | [
"58-21=37",
"2*37=74",
"23+74=97"
] | Current State: 97:[58, 23, 2, 21], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [23, 2, 37]
Generated Node #2: [23, 2, 37] from Operation: 58-21=37
Current State: 97:[23, 2, 37], Operations: ['58-21=37']
Exploring Operation: 2*37=74, Resulting Numbers: [23, 74]
Generated Node #3: [23, 74] from Operation: 2*37=74
Current State: 97:[23, 74], Operations: ['58-21=37', '2*37=74']
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
10,
22,
21
] | 86 | [
"97-10=87",
"22-21=1",
"87-1=86"
] | Current State: 86:[97, 10, 22, 21], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [22, 21, 87]
Generated Node #2: [22, 21, 87] from Operation: 97-10=87
Current State: 86:[22, 21, 87], Operations: ['97-10=87']
Exploring Operation: 22-21=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 22-21=1
Current State: 86:[87, 1], Operations: ['97-10=87', '22-21=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
30,
45,
39
] | 71 | [
"39-30=9",
"45/9=5",
"76-5=71"
] | Current State: 71:[76, 30, 45, 39], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [76, 45, 9]
Generated Node #2: [76, 45, 9] from Operation: 39-30=9
Current State: 71:[76, 45, 9], Operations: ['39-30=9']
Exploring Operation: 45/9=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 45/9=5
Current State: 71:[76, 5], Operations: ['39-30=9', '45/9=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
94,
82,
92
] | 37 | [
"94-92=2",
"82/2=41",
"41-4=37"
] | Current State: 37:[4, 94, 82, 92], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [4, 82, 2]
Generated Node #2: [4, 82, 2] from Operation: 94-92=2
Current State: 37:[4, 82, 2], Operations: ['94-92=2']
Exploring Operation: 82/2=41, Resulting Numbers: [4, 41]
Generated Node #3: [4, 41] from Operation: 82/2=41
Current State: 37:[4, 41], Operations: ['94-92=2', '82/2=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
88,
71,
56,
4
] | 79 | [
"88-56=32",
"32/4=8",
"71+8=79"
] | Current State: 79:[88, 71, 56, 4], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [71, 4, 32]
Generated Node #2: [71, 4, 32] from Operation: 88-56=32
Current State: 79:[71, 4, 32], Operations: ['88-56=32']
Exploring Operation: 32/4=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 32/4=8
Current State: 79:[71, 8], Operations: ['88-56=32', '32/4=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
94,
67,
7,
89
] | 69 | [
"94-67=27",
"7+89=96",
"96-27=69"
] | Current State: 69:[94, 67, 7, 89], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [7, 89, 27]
Generated Node #2: [7, 89, 27] from Operation: 94-67=27
Current State: 69:[7, 89, 27], Operations: ['94-67=27']
Exploring Operation: 7+89=96, Resulting Numbers: [27, 96]
Generated Node #3: [27, 96] from Operation: 7+89=96
Current State: 69:[27, 96], Operations: ['94-67=27', '7+89=96']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
84,
3,
22,
20
] | 14 | [
"84/3=28",
"22+20=42",
"42-28=14"
] | Current State: 14:[84, 3, 22, 20], Operations: []
Exploring Operation: 84/3=28, Resulting Numbers: [22, 20, 28]
Generated Node #2: [22, 20, 28] from Operation: 84/3=28
Current State: 14:[22, 20, 28], Operations: ['84/3=28']
Exploring Operation: 22+20=42, Resulting Numbers: [28, 42]
Generated Node #3: [28, 42] from Operation: 22+20=42
Current State: 14:[28, 42], Operations: ['84/3=28', '22+20=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
1,
54,
16,
28
] | 97 | [
"54-1=53",
"16+28=44",
"53+44=97"
] | Current State: 97:[1, 54, 16, 28], Operations: []
Exploring Operation: 54-1=53, Resulting Numbers: [16, 28, 53]
Generated Node #2: [16, 28, 53] from Operation: 54-1=53
Current State: 97:[16, 28, 53], Operations: ['54-1=53']
Exploring Operation: 16+28=44, Resulting Numbers: [53, 44]
Generated Node #3: [53, 44] from Operation: 16+28=44
Current State: 97:[53, 44], Operations: ['54-1=53', '16+28=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
50,
43,
5,
20
] | 97 | [
"50+43=93",
"20/5=4",
"93+4=97"
] | Current State: 97:[50, 43, 5, 20], Operations: []
Exploring Operation: 50+43=93, Resulting Numbers: [5, 20, 93]
Generated Node #2: [5, 20, 93] from Operation: 50+43=93
Current State: 97:[5, 20, 93], Operations: ['50+43=93']
Exploring Operation: 20/5=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 20/5=4
Current State: 97:[93, 4], Operations: ['50+43=93', '20/5=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
43,
47,
62
] | 44 | [
"43+47=90",
"90/5=18",
"62-18=44"
] | Current State: 44:[5, 43, 47, 62], Operations: []
Exploring Operation: 43+47=90, Resulting Numbers: [5, 62, 90]
Generated Node #2: [5, 62, 90] from Operation: 43+47=90
Current State: 44:[5, 62, 90], Operations: ['43+47=90']
Exploring Operation: 90/5=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 90/5=18
Current State: 44:[62, 18], Operations: ['43+47=90', '90/5=18']
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
61,
46,
58
] | 45 | [
"61-2=59",
"46+58=104",
"104-59=45"
] | Current State: 45:[2, 61, 46, 58], Operations: []
Exploring Operation: 61-2=59, Resulting Numbers: [46, 58, 59]
Generated Node #2: [46, 58, 59] from Operation: 61-2=59
Current State: 45:[46, 58, 59], Operations: ['61-2=59']
Exploring Operation: 46+58=104, Resulting Numbers: [59, 104]
Generated Node #3: [59, 104] from Operation: 46+58=104
Current State: 45:[59, 104], Operations: ['61-2=59', '46+58=104']
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
78,
4,
5,
53
] | 73 | [
"78*4=312",
"53+312=365",
"365/5=73"
] | Current State: 73:[78, 4, 5, 53], Operations: []
Exploring Operation: 78*4=312, Resulting Numbers: [5, 53, 312]
Generated Node #2: [5, 53, 312] from Operation: 78*4=312
Current State: 73:[5, 53, 312], Operations: ['78*4=312']
Exploring Operation: 53+312=365, Resulting Numbers: [5, 365]
Generated Node #3: [5, 365] from Operation: 53+312=365
Current State: 73:[5, 365], Operations: ['78*4=312', '53+312=365']
Exploring Operation: 365/5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
14,
54,
7
] | 37 | [
"6*14=84",
"54-7=47",
"84-47=37"
] | Current State: 37:[6, 14, 54, 7], Operations: []
Exploring Operation: 6*14=84, Resulting Numbers: [54, 7, 84]
Generated Node #2: [54, 7, 84] from Operation: 6*14=84
Current State: 37:[54, 7, 84], Operations: ['6*14=84']
Exploring Operation: 54-7=47, Resulting Numbers: [84, 47]
Generated Node #3: [84, 47] from Operation: 54-7=47
Current State: 37:[84, 47], Operations: ['6*14=84', '54-7=47']
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
90,
12,
58,
90
] | 45 | [
"90/90=1",
"58-12=46",
"46-1=45"
] | Current State: 45:[90, 12, 58, 90], Operations: []
Exploring Operation: 90/90=1, Resulting Numbers: [12, 58, 1]
Generated Node #2: [12, 58, 1] from Operation: 90/90=1
Current State: 45:[12, 58, 1], Operations: ['90/90=1']
Exploring Operation: 58-12=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 58-12=46
Current State: 45:[1, 46], Operations: ['90/90=1', '58-12=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
10,
89,
85
] | 55 | [
"4*85=340",
"340/10=34",
"89-34=55"
] | Current State: 55:[4, 10, 89, 85], Operations: []
Exploring Operation: 4*85=340, Resulting Numbers: [10, 89, 340]
Generated Node #2: [10, 89, 340] from Operation: 4*85=340
Current State: 55:[10, 89, 340], Operations: ['4*85=340']
Exploring Operation: 340/10=34, Resulting Numbers: [89, 34]
Generated Node #3: [89, 34] from Operation: 340/10=34
Current State: 55:[89, 34], Operations: ['4*85=340', '340/10=34']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
66,
61,
86,
34
] | 47 | [
"66-61=5",
"86-34=52",
"52-5=47"
] | Current State: 47:[66, 61, 86, 34], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [86, 34, 5]
Generated Node #2: [86, 34, 5] from Operation: 66-61=5
Current State: 47:[86, 34, 5], Operations: ['66-61=5']
Exploring Operation: 86-34=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 86-34=52
Current State: 47:[5, 52], Operations: ['66-61=5', '86-34=52']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
44,
75,
94,
62
] | 93 | [
"94-44=50",
"75*62=4650",
"4650/50=93"
] | Current State: 93:[44, 75, 94, 62], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [75, 62, 50]
Generated Node #2: [75, 62, 50] from Operation: 94-44=50
Current State: 93:[75, 62, 50], Operations: ['94-44=50']
Exploring Operation: 75*62=4650, Resulting Numbers: [50, 4650]
Generated Node #3: [50, 4650] from Operation: 75*62=4650
Current State: 93:[50, 4650], Operations: ['94-44=50', '75*62=4650']
Exploring Operation: 4650/50=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
13,
40,
62,
9
] | 26 | [
"40-13=27",
"62-9=53",
"53-27=26"
] | Current State: 26:[13, 40, 62, 9], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [62, 9, 27]
Generated Node #2: [62, 9, 27] from Operation: 40-13=27
Current State: 26:[62, 9, 27], Operations: ['40-13=27']
Exploring Operation: 62-9=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 62-9=53
Current State: 26:[27, 53], Operations: ['40-13=27', '62-9=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
40,
74,
63,
35
] | 16 | [
"40+74=114",
"63+35=98",
"114-98=16"
] | Current State: 16:[40, 74, 63, 35], Operations: []
Exploring Operation: 40+74=114, Resulting Numbers: [63, 35, 114]
Generated Node #2: [63, 35, 114] from Operation: 40+74=114
Current State: 16:[63, 35, 114], Operations: ['40+74=114']
Exploring Operation: 63+35=98, Resulting Numbers: [114, 98]
Generated Node #3: [114, 98] from Operation: 63+35=98
Current State: 16:[114, 98], Operations: ['40+74=114', '63+35=98']
Exploring Operation: 114-98=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
16,
24,
4,
44
] | 11 | [
"24-16=8",
"8-4=4",
"44/4=11"
] | Current State: 11:[16, 24, 4, 44], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [4, 44, 8]
Generated Node #2: [4, 44, 8] from Operation: 24-16=8
Current State: 11:[4, 44, 8], Operations: ['24-16=8']
Exploring Operation: 8-4=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 8-4=4
Current State: 11:[44, 4], Operations: ['24-16=8', '8-4=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
59,
6,
20,
3
] | 37 | [
"59-20=39",
"6/3=2",
"39-2=37"
] | Current State: 37:[59, 6, 20, 3], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [6, 3, 39]
Generated Node #2: [6, 3, 39] from Operation: 59-20=39
Current State: 37:[6, 3, 39], Operations: ['59-20=39']
Exploring Operation: 6/3=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 6/3=2
Current State: 37:[39, 2], Operations: ['59-20=39', '6/3=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
91,
34,
24,
94
] | 13 | [
"91-34=57",
"94-24=70",
"70-57=13"
] | Current State: 13:[91, 34, 24, 94], Operations: []
Exploring Operation: 91-34=57, Resulting Numbers: [24, 94, 57]
Generated Node #2: [24, 94, 57] from Operation: 91-34=57
Current State: 13:[24, 94, 57], Operations: ['91-34=57']
Exploring Operation: 94-24=70, Resulting Numbers: [57, 70]
Generated Node #3: [57, 70] from Operation: 94-24=70
Current State: 13:[57, 70], Operations: ['91-34=57', '94-24=70']
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
90,
9,
51,
92
] | 69 | [
"92-90=2",
"9*2=18",
"51+18=69"
] | Current State: 69:[90, 9, 51, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [9, 51, 2]
Generated Node #2: [9, 51, 2] from Operation: 92-90=2
Current State: 69:[9, 51, 2], Operations: ['92-90=2']
Exploring Operation: 9*2=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 9*2=18
Current State: 69:[51, 18], Operations: ['92-90=2', '9*2=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
38,
16,
62,
11
] | 60 | [
"38-16=22",
"22/11=2",
"62-2=60"
] | Current State: 60:[38, 16, 62, 11], Operations: []
Exploring Operation: 38-16=22, Resulting Numbers: [62, 11, 22]
Generated Node #2: [62, 11, 22] from Operation: 38-16=22
Current State: 60:[62, 11, 22], Operations: ['38-16=22']
Exploring Operation: 22/11=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 22/11=2
Current State: 60:[62, 2], Operations: ['38-16=22', '22/11=2']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
59,
26,
13,
57
] | 58 | [
"59+57=116",
"26/13=2",
"116/2=58"
] | Current State: 58:[59, 26, 13, 57], Operations: []
Exploring Operation: 59+57=116, Resulting Numbers: [26, 13, 116]
Generated Node #2: [26, 13, 116] from Operation: 59+57=116
Current State: 58:[26, 13, 116], Operations: ['59+57=116']
Exploring Operation: 26/13=2, Resulting Numbers: [116, 2]
Generated Node #3: [116, 2] from Operation: 26/13=2
Current State: 58:[116, 2], Operations: ['59+57=116', '26/13=2']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
9,
76,
64,
49
] | 67 | [
"76-49=27",
"27/9=3",
"64+3=67"
] | Current State: 67:[9, 76, 64, 49], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [9, 64, 27]
Generated Node #2: [9, 64, 27] from Operation: 76-49=27
Current State: 67:[9, 64, 27], Operations: ['76-49=27']
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 27/9=3
Current State: 67:[64, 3], Operations: ['76-49=27', '27/9=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
89,
69,
86,
74
] | 97 | [
"89-86=3",
"69/3=23",
"74+23=97"
] | Current State: 97:[89, 69, 86, 74], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [69, 74, 3]
Generated Node #2: [69, 74, 3] from Operation: 89-86=3
Current State: 97:[69, 74, 3], Operations: ['89-86=3']
Exploring Operation: 69/3=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 69/3=23
Current State: 97:[74, 23], Operations: ['89-86=3', '69/3=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
57,
61,
14,
32
] | 24 | [
"61-57=4",
"14*4=56",
"56-32=24"
] | Current State: 24:[57, 61, 14, 32], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [14, 32, 4]
Generated Node #2: [14, 32, 4] from Operation: 61-57=4
Current State: 24:[14, 32, 4], Operations: ['61-57=4']
Exploring Operation: 14*4=56, Resulting Numbers: [32, 56]
Generated Node #3: [32, 56] from Operation: 14*4=56
Current State: 24:[32, 56], Operations: ['61-57=4', '14*4=56']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
39,
83,
86,
51
] | 87 | [
"39+83=122",
"86-51=35",
"122-35=87"
] | Current State: 87:[39, 83, 86, 51], Operations: []
Exploring Operation: 39+83=122, Resulting Numbers: [86, 51, 122]
Generated Node #2: [86, 51, 122] from Operation: 39+83=122
Current State: 87:[86, 51, 122], Operations: ['39+83=122']
Exploring Operation: 86-51=35, Resulting Numbers: [122, 35]
Generated Node #3: [122, 35] from Operation: 86-51=35
Current State: 87:[122, 35], Operations: ['39+83=122', '86-51=35']
Exploring Operation: 122-35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
20,
47,
52,
59
] | 34 | [
"47-20=27",
"59-52=7",
"27+7=34"
] | Current State: 34:[20, 47, 52, 59], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [52, 59, 27]
Generated Node #2: [52, 59, 27] from Operation: 47-20=27
Current State: 34:[52, 59, 27], Operations: ['47-20=27']
Exploring Operation: 59-52=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 59-52=7
Current State: 34:[27, 7], Operations: ['47-20=27', '59-52=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
56,
53,
73,
3
] | 74 | [
"56-53=3",
"3/3=1",
"73+1=74"
] | Current State: 74:[56, 53, 73, 3], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [73, 3, 3]
Generated Node #2: [73, 3, 3] from Operation: 56-53=3
Current State: 74:[73, 3, 3], Operations: ['56-53=3']
Exploring Operation: 3/3=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 3/3=1
Current State: 74:[73, 1], Operations: ['56-53=3', '3/3=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
7,
14,
6,
19
] | 41 | [
"19-14=5",
"7*5=35",
"6+35=41"
] | Current State: 41:[7, 14, 6, 19], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [7, 6, 5]
Generated Node #2: [7, 6, 5] from Operation: 19-14=5
Current State: 41:[7, 6, 5], Operations: ['19-14=5']
Exploring Operation: 7*5=35, Resulting Numbers: [6, 35]
Generated Node #3: [6, 35] from Operation: 7*5=35
Current State: 41:[6, 35], Operations: ['19-14=5', '7*5=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
27,
25,
39,
46
] | 59 | [
"27+25=52",
"46-39=7",
"52+7=59"
] | Current State: 59:[27, 25, 39, 46], Operations: []
Exploring Operation: 27+25=52, Resulting Numbers: [39, 46, 52]
Generated Node #2: [39, 46, 52] from Operation: 27+25=52
Current State: 59:[39, 46, 52], Operations: ['27+25=52']
Exploring Operation: 46-39=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 46-39=7
Current State: 59:[52, 7], Operations: ['27+25=52', '46-39=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
28,
94,
75,
20
] | 10 | [
"75-28=47",
"94/47=2",
"20/2=10"
] | Current State: 10:[28, 94, 75, 20], Operations: []
Exploring Operation: 75-28=47, Resulting Numbers: [94, 20, 47]
Generated Node #2: [94, 20, 47] from Operation: 75-28=47
Current State: 10:[94, 20, 47], Operations: ['75-28=47']
Exploring Operation: 94/47=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 94/47=2
Current State: 10:[20, 2], Operations: ['75-28=47', '94/47=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
31,
71,
66,
15
] | 41 | [
"71-31=40",
"66+15=81",
"81-40=41"
] | Current State: 41:[31, 71, 66, 15], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [66, 15, 40]
Generated Node #2: [66, 15, 40] from Operation: 71-31=40
Current State: 41:[66, 15, 40], Operations: ['71-31=40']
Exploring Operation: 66+15=81, Resulting Numbers: [40, 81]
Generated Node #3: [40, 81] from Operation: 66+15=81
Current State: 41:[40, 81], Operations: ['71-31=40', '66+15=81']
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
78,
51,
68
] | 90 | [
"68-66=2",
"78/2=39",
"51+39=90"
] | Current State: 90:[66, 78, 51, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [78, 51, 2]
Generated Node #2: [78, 51, 2] from Operation: 68-66=2
Current State: 90:[78, 51, 2], Operations: ['68-66=2']
Exploring Operation: 78/2=39, Resulting Numbers: [51, 39]
Generated Node #3: [51, 39] from Operation: 78/2=39
Current State: 90:[51, 39], Operations: ['68-66=2', '78/2=39']
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
94,
55,
80,
42
] | 58 | [
"94-80=14",
"42/14=3",
"55+3=58"
] | Current State: 58:[94, 55, 80, 42], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [55, 42, 14]
Generated Node #2: [55, 42, 14] from Operation: 94-80=14
Current State: 58:[55, 42, 14], Operations: ['94-80=14']
Exploring Operation: 42/14=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 42/14=3
Current State: 58:[55, 3], Operations: ['94-80=14', '42/14=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
39,
4,
57,
74
] | 96 | [
"39-4=35",
"57+74=131",
"131-35=96"
] | Current State: 96:[39, 4, 57, 74], Operations: []
Exploring Operation: 39-4=35, Resulting Numbers: [57, 74, 35]
Generated Node #2: [57, 74, 35] from Operation: 39-4=35
Current State: 96:[57, 74, 35], Operations: ['39-4=35']
Exploring Operation: 57+74=131, Resulting Numbers: [35, 131]
Generated Node #3: [35, 131] from Operation: 57+74=131
Current State: 96:[35, 131], Operations: ['39-4=35', '57+74=131']
Exploring Operation: 131-35=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
13,
19,
86,
72
] | 20 | [
"19-13=6",
"86-72=14",
"6+14=20"
] | Current State: 20:[13, 19, 86, 72], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [86, 72, 6]
Generated Node #2: [86, 72, 6] from Operation: 19-13=6
Current State: 20:[86, 72, 6], Operations: ['19-13=6']
Exploring Operation: 86-72=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 86-72=14
Current State: 20:[6, 14], Operations: ['19-13=6', '86-72=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
14,
93,
10,
47
] | 28 | [
"93+47=140",
"140/10=14",
"14+14=28"
] | Current State: 28:[14, 93, 10, 47], Operations: []
Exploring Operation: 93+47=140, Resulting Numbers: [14, 10, 140]
Generated Node #2: [14, 10, 140] from Operation: 93+47=140
Current State: 28:[14, 10, 140], Operations: ['93+47=140']
Exploring Operation: 140/10=14, Resulting Numbers: [14, 14]
Generated Node #3: [14, 14] from Operation: 140/10=14
Current State: 28:[14, 14], Operations: ['93+47=140', '140/10=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
52,
40,
60,
96
] | 68 | [
"52-40=12",
"96/12=8",
"60+8=68"
] | Current State: 68:[52, 40, 60, 96], Operations: []
Exploring Operation: 52-40=12, Resulting Numbers: [60, 96, 12]
Generated Node #2: [60, 96, 12] from Operation: 52-40=12
Current State: 68:[60, 96, 12], Operations: ['52-40=12']
Exploring Operation: 96/12=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 96/12=8
Current State: 68:[60, 8], Operations: ['52-40=12', '96/12=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
62,
46,
85
] | 70 | [
"62/2=31",
"85-46=39",
"31+39=70"
] | Current State: 70:[2, 62, 46, 85], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [46, 85, 31]
Generated Node #2: [46, 85, 31] from Operation: 62/2=31
Current State: 70:[46, 85, 31], Operations: ['62/2=31']
Exploring Operation: 85-46=39, Resulting Numbers: [31, 39]
Generated Node #3: [31, 39] from Operation: 85-46=39
Current State: 70:[31, 39], Operations: ['62/2=31', '85-46=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
50,
67,
21,
13
] | 52 | [
"67-50=17",
"21-17=4",
"13*4=52"
] | Current State: 52:[50, 67, 21, 13], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [21, 13, 17]
Generated Node #2: [21, 13, 17] from Operation: 67-50=17
Current State: 52:[21, 13, 17], Operations: ['67-50=17']
Exploring Operation: 21-17=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 21-17=4
Current State: 52:[13, 4], Operations: ['67-50=17', '21-17=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
78,
2,
34,
30
] | 88 | [
"78+30=108",
"108/2=54",
"34+54=88"
] | Current State: 88:[78, 2, 34, 30], Operations: []
Exploring Operation: 78+30=108, Resulting Numbers: [2, 34, 108]
Generated Node #2: [2, 34, 108] from Operation: 78+30=108
Current State: 88:[2, 34, 108], Operations: ['78+30=108']
Exploring Operation: 108/2=54, Resulting Numbers: [34, 54]
Generated Node #3: [34, 54] from Operation: 108/2=54
Current State: 88:[34, 54], Operations: ['78+30=108', '108/2=54']
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
88,
72,
27,
56
] | 29 | [
"88+56=144",
"144/72=2",
"27+2=29"
] | Current State: 29:[88, 72, 27, 56], Operations: []
Exploring Operation: 88+56=144, Resulting Numbers: [72, 27, 144]
Generated Node #2: [72, 27, 144] from Operation: 88+56=144
Current State: 29:[72, 27, 144], Operations: ['88+56=144']
Exploring Operation: 144/72=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 144/72=2
Current State: 29:[27, 2], Operations: ['88+56=144', '144/72=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
28,
20,
84,
73
] | 96 | [
"84/28=3",
"20+73=93",
"3+93=96"
] | Current State: 96:[28, 20, 84, 73], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [20, 73, 3]
Generated Node #2: [20, 73, 3] from Operation: 84/28=3
Current State: 96:[20, 73, 3], Operations: ['84/28=3']
Exploring Operation: 20+73=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 20+73=93
Current State: 96:[3, 93], Operations: ['84/28=3', '20+73=93']
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
60,
17,
2,
5
] | 65 | [
"60/2=30",
"30-17=13",
"5*13=65"
] | Current State: 65:[60, 17, 2, 5], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [17, 5, 30]
Generated Node #2: [17, 5, 30] from Operation: 60/2=30
Current State: 65:[17, 5, 30], Operations: ['60/2=30']
Exploring Operation: 30-17=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 30-17=13
Current State: 65:[5, 13], Operations: ['60/2=30', '30-17=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
96,
5,
74,
17
] | 63 | [
"96-74=22",
"5*17=85",
"85-22=63"
] | Current State: 63:[96, 5, 74, 17], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [5, 17, 22]
Generated Node #2: [5, 17, 22] from Operation: 96-74=22
Current State: 63:[5, 17, 22], Operations: ['96-74=22']
Exploring Operation: 5*17=85, Resulting Numbers: [22, 85]
Generated Node #3: [22, 85] from Operation: 5*17=85
Current State: 63:[22, 85], Operations: ['96-74=22', '5*17=85']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
45,
16,
8
] | 42 | [
"45-16=29",
"29-8=21",
"2*21=42"
] | Current State: 42:[2, 45, 16, 8], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [2, 8, 29]
Generated Node #2: [2, 8, 29] from Operation: 45-16=29
Current State: 42:[2, 8, 29], Operations: ['45-16=29']
Exploring Operation: 29-8=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 29-8=21
Current State: 42:[2, 21], Operations: ['45-16=29', '29-8=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
25,
17,
17,
51
] | 58 | [
"25*51=1275",
"1275/17=75",
"75-17=58"
] | Current State: 58:[25, 17, 17, 51], Operations: []
Exploring Operation: 25*51=1275, Resulting Numbers: [17, 17, 1275]
Generated Node #2: [17, 17, 1275] from Operation: 25*51=1275
Current State: 58:[17, 17, 1275], Operations: ['25*51=1275']
Exploring Operation: 1275/17=75, Resulting Numbers: [75]
75,58 equal: Goal Reached
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
56,
24,
96,
58
] | 24 | [
"58-56=2",
"96/2=48",
"48-24=24"
] | Current State: 24:[56, 24, 96, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [24, 96, 2]
Generated Node #2: [24, 96, 2] from Operation: 58-56=2
Current State: 24:[24, 96, 2], Operations: ['58-56=2']
Exploring Operation: 96/2=48, Resulting Numbers: [24, 48]
Generated Node #3: [24, 48] from Operation: 96/2=48
Current State: 24:[24, 48], Operations: ['58-56=2', '96/2=48']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
41,
58,
10,
2
] | 85 | [
"58-41=17",
"10/2=5",
"17*5=85"
] | Current State: 85:[41, 58, 10, 2], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [10, 2, 17]
Generated Node #2: [10, 2, 17] from Operation: 58-41=17
Current State: 85:[10, 2, 17], Operations: ['58-41=17']
Exploring Operation: 10/2=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 10/2=5
Current State: 85:[17, 5], Operations: ['58-41=17', '10/2=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
12,
55,
82
] | 40 | [
"2*55=110",
"82-12=70",
"110-70=40"
] | Current State: 40:[2, 12, 55, 82], Operations: []
Exploring Operation: 2*55=110, Resulting Numbers: [12, 82, 110]
Generated Node #2: [12, 82, 110] from Operation: 2*55=110
Current State: 40:[12, 82, 110], Operations: ['2*55=110']
Exploring Operation: 82-12=70, Resulting Numbers: [110, 70]
Generated Node #3: [110, 70] from Operation: 82-12=70
Current State: 40:[110, 70], Operations: ['2*55=110', '82-12=70']
Exploring Operation: 110-70=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
33,
70,
7,
34
] | 21 | [
"70-33=37",
"37-34=3",
"7*3=21"
] | Current State: 21:[33, 70, 7, 34], Operations: []
Exploring Operation: 70-33=37, Resulting Numbers: [7, 34, 37]
Generated Node #2: [7, 34, 37] from Operation: 70-33=37
Current State: 21:[7, 34, 37], Operations: ['70-33=37']
Exploring Operation: 37-34=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 37-34=3
Current State: 21:[7, 3], Operations: ['70-33=37', '37-34=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
8,
78,
79,
93
] | 100 | [
"8+78=86",
"93-79=14",
"86+14=100"
] | Current State: 100:[8, 78, 79, 93], Operations: []
Exploring Operation: 8+78=86, Resulting Numbers: [79, 93, 86]
Generated Node #2: [79, 93, 86] from Operation: 8+78=86
Current State: 100:[79, 93, 86], Operations: ['8+78=86']
Exploring Operation: 93-79=14, Resulting Numbers: [86, 14]
Generated Node #3: [86, 14] from Operation: 93-79=14
Current State: 100:[86, 14], Operations: ['8+78=86', '93-79=14']
Exploring Operation: 86+14=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
52,
16,
77,
25
] | 16 | [
"52+16=68",
"77-25=52",
"68-52=16"
] | Current State: 16:[52, 16, 77, 25], Operations: []
Exploring Operation: 52+16=68, Resulting Numbers: [77, 25, 68]
Generated Node #2: [77, 25, 68] from Operation: 52+16=68
Current State: 16:[77, 25, 68], Operations: ['52+16=68']
Exploring Operation: 77-25=52, Resulting Numbers: [68, 52]
Generated Node #3: [68, 52] from Operation: 77-25=52
Current State: 16:[68, 52], Operations: ['52+16=68', '77-25=52']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
84,
56,
44,
65
] | 14 | [
"65-44=21",
"84/21=4",
"56/4=14"
] | Current State: 14:[84, 56, 44, 65], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [84, 56, 21]
Generated Node #2: [84, 56, 21] from Operation: 65-44=21
Current State: 14:[84, 56, 21], Operations: ['65-44=21']
Exploring Operation: 84/21=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 84/21=4
Current State: 14:[56, 4], Operations: ['65-44=21', '84/21=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
77,
7,
9,
31
] | 44 | [
"77+7=84",
"9+31=40",
"84-40=44"
] | Current State: 44:[77, 7, 9, 31], Operations: []
Exploring Operation: 77+7=84, Resulting Numbers: [9, 31, 84]
Generated Node #2: [9, 31, 84] from Operation: 77+7=84
Current State: 44:[9, 31, 84], Operations: ['77+7=84']
Exploring Operation: 9+31=40, Resulting Numbers: [84, 40]
Generated Node #3: [84, 40] from Operation: 9+31=40
Current State: 44:[84, 40], Operations: ['77+7=84', '9+31=40']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
91,
50,
69,
3
] | 66 | [
"91+50=141",
"69*3=207",
"207-141=66"
] | Current State: 66:[91, 50, 69, 3], Operations: []
Exploring Operation: 91+50=141, Resulting Numbers: [69, 3, 141]
Generated Node #2: [69, 3, 141] from Operation: 91+50=141
Current State: 66:[69, 3, 141], Operations: ['91+50=141']
Exploring Operation: 69*3=207, Resulting Numbers: [141, 207]
Generated Node #3: [141, 207] from Operation: 69*3=207
Current State: 66:[141, 207], Operations: ['91+50=141', '69*3=207']
Exploring Operation: 207-141=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
11,
13,
8,
8
] | 11 | [
"11+13=24",
"24/8=3",
"8+3=11"
] | Current State: 11:[11, 13, 8, 8], Operations: []
Exploring Operation: 11+13=24, Resulting Numbers: [8, 8, 24]
Generated Node #2: [8, 8, 24] from Operation: 11+13=24
Current State: 11:[8, 8, 24], Operations: ['11+13=24']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,11 equal: Goal Reached
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
24,
50,
52,
27
] | 26 | [
"52-27=25",
"50/25=2",
"24+2=26"
] | Current State: 26:[24, 50, 52, 27], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [24, 50, 25]
Generated Node #2: [24, 50, 25] from Operation: 52-27=25
Current State: 26:[24, 50, 25], Operations: ['52-27=25']
Exploring Operation: 50/25=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 50/25=2
Current State: 26:[24, 2], Operations: ['52-27=25', '50/25=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
7,
95,
17,
86
] | 33 | [
"7+95=102",
"86-17=69",
"102-69=33"
] | Current State: 33:[7, 95, 17, 86], Operations: []
Exploring Operation: 7+95=102, Resulting Numbers: [17, 86, 102]
Generated Node #2: [17, 86, 102] from Operation: 7+95=102
Current State: 33:[17, 86, 102], Operations: ['7+95=102']
Exploring Operation: 86-17=69, Resulting Numbers: [102, 69]
Generated Node #3: [102, 69] from Operation: 86-17=69
Current State: 33:[102, 69], Operations: ['7+95=102', '86-17=69']
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
80,
3,
96
] | 26 | [
"80-7=73",
"3+96=99",
"99-73=26"
] | Current State: 26:[7, 80, 3, 96], Operations: []
Exploring Operation: 80-7=73, Resulting Numbers: [3, 96, 73]
Generated Node #2: [3, 96, 73] from Operation: 80-7=73
Current State: 26:[3, 96, 73], Operations: ['80-7=73']
Exploring Operation: 3+96=99, Resulting Numbers: [73, 99]
Generated Node #3: [73, 99] from Operation: 3+96=99
Current State: 26:[73, 99], Operations: ['80-7=73', '3+96=99']
Exploring Operation: 99-73=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
81,
2,
88
] | 12 | [
"31+81=112",
"112-88=24",
"24/2=12"
] | Current State: 12:[31, 81, 2, 88], Operations: []
Exploring Operation: 31+81=112, Resulting Numbers: [2, 88, 112]
Generated Node #2: [2, 88, 112] from Operation: 31+81=112
Current State: 12:[2, 88, 112], Operations: ['31+81=112']
Exploring Operation: 112-88=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 112-88=24
Current State: 12:[2, 24], Operations: ['31+81=112', '112-88=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
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