nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
92,
18,
75,
13
] | 12 | [
"92-18=74",
"75-13=62",
"74-62=12"
] | Current State: 12:[92, 18, 75, 13], Operations: []
Exploring Operation: 92-18=74, Resulting Numbers: [75, 13, 74]
Generated Node #2: [75, 13, 74] from Operation: 92-18=74
Current State: 12:[75, 13, 74], Operations: ['92-18=74']
Exploring Operation: 75-13=62, Resulting Numbers: [74, 62]
Generated Node #3: [74, 62] from Operation: 75-13=62
Current State: 12:[74, 62], Operations: ['92-18=74', '75-13=62']
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
92,
16,
25,
9
] | 93 | [
"25-16=9",
"9/9=1",
"92+1=93"
] | Current State: 93:[92, 16, 25, 9], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [92, 9, 9]
Generated Node #2: [92, 9, 9] from Operation: 25-16=9
Current State: 93:[92, 9, 9], Operations: ['25-16=9']
Exploring Operation: 9/9=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 9/9=1
Current State: 93:[92, 1], Operations: ['25-16=9', '9/9=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
13,
12,
83,
22
] | 60 | [
"13-12=1",
"83-22=61",
"61-1=60"
] | Current State: 60:[13, 12, 83, 22], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [83, 22, 1]
Generated Node #2: [83, 22, 1] from Operation: 13-12=1
Current State: 60:[83, 22, 1], Operations: ['13-12=1']
Exploring Operation: 83-22=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 83-22=61
Current State: 60:[1, 61], Operations: ['13-12=1', '83-22=61']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
62,
74,
61
] | 11 | [
"81+62=143",
"74-61=13",
"143/13=11"
] | Current State: 11:[81, 62, 74, 61], Operations: []
Exploring Operation: 81+62=143, Resulting Numbers: [74, 61, 143]
Generated Node #2: [74, 61, 143] from Operation: 81+62=143
Current State: 11:[74, 61, 143], Operations: ['81+62=143']
Exploring Operation: 74-61=13, Resulting Numbers: [143, 13]
Generated Node #3: [143, 13] from Operation: 74-61=13
Current State: 11:[143, 13], Operations: ['81+62=143', '74-61=13']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
43,
2,
66,
32
] | 79 | [
"43+2=45",
"66-32=34",
"45+34=79"
] | Current State: 79:[43, 2, 66, 32], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [66, 32, 45]
Generated Node #2: [66, 32, 45] from Operation: 43+2=45
Current State: 79:[66, 32, 45], Operations: ['43+2=45']
Exploring Operation: 66-32=34, Resulting Numbers: [45, 34]
Generated Node #3: [45, 34] from Operation: 66-32=34
Current State: 79:[45, 34], Operations: ['43+2=45', '66-32=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
20,
82,
36,
92
] | 34 | [
"92-82=10",
"20/10=2",
"36-2=34"
] | Current State: 34:[20, 82, 36, 92], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [20, 36, 10]
Generated Node #2: [20, 36, 10] from Operation: 92-82=10
Current State: 34:[20, 36, 10], Operations: ['92-82=10']
Exploring Operation: 20/10=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 20/10=2
Current State: 34:[36, 2], Operations: ['92-82=10', '20/10=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
22,
36,
1
] | 13 | [
"5-1=4",
"36/4=9",
"22-9=13"
] | Current State: 13:[5, 22, 36, 1], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [22, 36, 4]
Generated Node #2: [22, 36, 4] from Operation: 5-1=4
Current State: 13:[22, 36, 4], Operations: ['5-1=4']
Exploring Operation: 36/4=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 36/4=9
Current State: 13:[22, 9], Operations: ['5-1=4', '36/4=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
36,
2,
17,
79
] | 96 | [
"36-2=34",
"79-17=62",
"34+62=96"
] | Current State: 96:[36, 2, 17, 79], Operations: []
Exploring Operation: 36-2=34, Resulting Numbers: [17, 79, 34]
Generated Node #2: [17, 79, 34] from Operation: 36-2=34
Current State: 96:[17, 79, 34], Operations: ['36-2=34']
Exploring Operation: 79-17=62, Resulting Numbers: [34, 62]
Generated Node #3: [34, 62] from Operation: 79-17=62
Current State: 96:[34, 62], Operations: ['36-2=34', '79-17=62']
Exploring Operation: 34+62=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
62,
22,
88,
29
] | 33 | [
"62+22=84",
"88+29=117",
"117-84=33"
] | Current State: 33:[62, 22, 88, 29], Operations: []
Exploring Operation: 62+22=84, Resulting Numbers: [88, 29, 84]
Generated Node #2: [88, 29, 84] from Operation: 62+22=84
Current State: 33:[88, 29, 84], Operations: ['62+22=84']
Exploring Operation: 88+29=117, Resulting Numbers: [84, 117]
Generated Node #3: [84, 117] from Operation: 88+29=117
Current State: 33:[84, 117], Operations: ['62+22=84', '88+29=117']
Exploring Operation: 117-84=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
33,
21,
57
] | 48 | [
"23-21=2",
"57-33=24",
"2*24=48"
] | Current State: 48:[23, 33, 21, 57], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [33, 57, 2]
Generated Node #2: [33, 57, 2] from Operation: 23-21=2
Current State: 48:[33, 57, 2], Operations: ['23-21=2']
Exploring Operation: 57-33=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 57-33=24
Current State: 48:[2, 24], Operations: ['23-21=2', '57-33=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
17,
19,
38,
48
] | 41 | [
"38/19=2",
"48/2=24",
"17+24=41"
] | Current State: 41:[17, 19, 38, 48], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [17, 48, 2]
Generated Node #2: [17, 48, 2] from Operation: 38/19=2
Current State: 41:[17, 48, 2], Operations: ['38/19=2']
Exploring Operation: 48/2=24, Resulting Numbers: [17, 24]
Generated Node #3: [17, 24] from Operation: 48/2=24
Current State: 41:[17, 24], Operations: ['38/19=2', '48/2=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
91,
28,
54,
35
] | 82 | [
"91-28=63",
"54-35=19",
"63+19=82"
] | Current State: 82:[91, 28, 54, 35], Operations: []
Exploring Operation: 91-28=63, Resulting Numbers: [54, 35, 63]
Generated Node #2: [54, 35, 63] from Operation: 91-28=63
Current State: 82:[54, 35, 63], Operations: ['91-28=63']
Exploring Operation: 54-35=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 54-35=19
Current State: 82:[63, 19], Operations: ['91-28=63', '54-35=19']
Exploring Operation: 63+19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
63,
51,
38
] | 19 | [
"75+51=126",
"63*38=2394",
"2394/126=19"
] | Current State: 19:[75, 63, 51, 38], Operations: []
Exploring Operation: 75+51=126, Resulting Numbers: [63, 38, 126]
Generated Node #2: [63, 38, 126] from Operation: 75+51=126
Current State: 19:[63, 38, 126], Operations: ['75+51=126']
Exploring Operation: 63*38=2394, Resulting Numbers: [126, 2394]
Generated Node #3: [126, 2394] from Operation: 63*38=2394
Current State: 19:[126, 2394], Operations: ['75+51=126', '63*38=2394']
Exploring Operation: 2394/126=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
89,
46,
31,
73
] | 93 | [
"89+46=135",
"73-31=42",
"135-42=93"
] | Current State: 93:[89, 46, 31, 73], Operations: []
Exploring Operation: 89+46=135, Resulting Numbers: [31, 73, 135]
Generated Node #2: [31, 73, 135] from Operation: 89+46=135
Current State: 93:[31, 73, 135], Operations: ['89+46=135']
Exploring Operation: 73-31=42, Resulting Numbers: [135, 42]
Generated Node #3: [135, 42] from Operation: 73-31=42
Current State: 93:[135, 42], Operations: ['89+46=135', '73-31=42']
Exploring Operation: 135-42=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
54,
36,
10
] | 16 | [
"90*10=900",
"900-36=864",
"864/54=16"
] | Current State: 16:[90, 54, 36, 10], Operations: []
Exploring Operation: 90*10=900, Resulting Numbers: [54, 36, 900]
Generated Node #2: [54, 36, 900] from Operation: 90*10=900
Current State: 16:[54, 36, 900], Operations: ['90*10=900']
Exploring Operation: 900-36=864, Resulting Numbers: [54, 864]
Generated Node #3: [54, 864] from Operation: 900-36=864
Current State: 16:[54, 864], Operations: ['90*10=900', '900-36=864']
Exploring Operation: 864/54=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
62,
11,
73,
97
] | 24 | [
"73-62=11",
"11*11=121",
"121-97=24"
] | Current State: 24:[62, 11, 73, 97], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [11, 97, 11]
Generated Node #2: [11, 97, 11] from Operation: 73-62=11
Current State: 24:[11, 97, 11], Operations: ['73-62=11']
Exploring Operation: 11*11=121, Resulting Numbers: [97, 121]
Generated Node #3: [97, 121] from Operation: 11*11=121
Current State: 24:[97, 121], Operations: ['73-62=11', '11*11=121']
Exploring Operation: 121-97=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
4,
2,
38,
37
] | 43 | [
"37-4=33",
"2*38=76",
"76-33=43"
] | Current State: 43:[4, 2, 38, 37], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [2, 38, 33]
Generated Node #2: [2, 38, 33] from Operation: 37-4=33
Current State: 43:[2, 38, 33], Operations: ['37-4=33']
Exploring Operation: 2*38=76, Resulting Numbers: [33, 76]
Generated Node #3: [33, 76] from Operation: 2*38=76
Current State: 43:[33, 76], Operations: ['37-4=33', '2*38=76']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
29,
87,
82,
36
] | 43 | [
"87/29=3",
"82-36=46",
"46-3=43"
] | Current State: 43:[29, 87, 82, 36], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [82, 36, 3]
Generated Node #2: [82, 36, 3] from Operation: 87/29=3
Current State: 43:[82, 36, 3], Operations: ['87/29=3']
Exploring Operation: 82-36=46, Resulting Numbers: [3, 46]
Generated Node #3: [3, 46] from Operation: 82-36=46
Current State: 43:[3, 46], Operations: ['87/29=3', '82-36=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
42,
21,
72,
76
] | 34 | [
"42/21=2",
"76/2=38",
"72-38=34"
] | Current State: 34:[42, 21, 72, 76], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [72, 76, 2]
Generated Node #2: [72, 76, 2] from Operation: 42/21=2
Current State: 34:[72, 76, 2], Operations: ['42/21=2']
Exploring Operation: 76/2=38, Resulting Numbers: [72, 38]
Generated Node #3: [72, 38] from Operation: 76/2=38
Current State: 34:[72, 38], Operations: ['42/21=2', '76/2=38']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
51,
62,
97,
31
] | 77 | [
"62-51=11",
"97-31=66",
"11+66=77"
] | Current State: 77:[51, 62, 97, 31], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [97, 31, 11]
Generated Node #2: [97, 31, 11] from Operation: 62-51=11
Current State: 77:[97, 31, 11], Operations: ['62-51=11']
Exploring Operation: 97-31=66, Resulting Numbers: [11, 66]
Generated Node #3: [11, 66] from Operation: 97-31=66
Current State: 77:[11, 66], Operations: ['62-51=11', '97-31=66']
Exploring Operation: 11+66=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
39,
66,
82,
32
] | 41 | [
"82-66=16",
"32/16=2",
"39+2=41"
] | Current State: 41:[39, 66, 82, 32], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [39, 32, 16]
Generated Node #2: [39, 32, 16] from Operation: 82-66=16
Current State: 41:[39, 32, 16], Operations: ['82-66=16']
Exploring Operation: 32/16=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 32/16=2
Current State: 41:[39, 2], Operations: ['82-66=16', '32/16=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
25,
68,
49,
86
] | 56 | [
"25+68=93",
"86-49=37",
"93-37=56"
] | Current State: 56:[25, 68, 49, 86], Operations: []
Exploring Operation: 25+68=93, Resulting Numbers: [49, 86, 93]
Generated Node #2: [49, 86, 93] from Operation: 25+68=93
Current State: 56:[49, 86, 93], Operations: ['25+68=93']
Exploring Operation: 86-49=37, Resulting Numbers: [93, 37]
Generated Node #3: [93, 37] from Operation: 86-49=37
Current State: 56:[93, 37], Operations: ['25+68=93', '86-49=37']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
56,
28,
18
] | 51 | [
"56/28=2",
"18/2=9",
"60-9=51"
] | Current State: 51:[60, 56, 28, 18], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [60, 18, 2]
Generated Node #2: [60, 18, 2] from Operation: 56/28=2
Current State: 51:[60, 18, 2], Operations: ['56/28=2']
Exploring Operation: 18/2=9, Resulting Numbers: [60, 9]
Generated Node #3: [60, 9] from Operation: 18/2=9
Current State: 51:[60, 9], Operations: ['56/28=2', '18/2=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
38,
43,
29
] | 99 | [
"65-38=27",
"43+29=72",
"27+72=99"
] | Current State: 99:[65, 38, 43, 29], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [43, 29, 27]
Generated Node #2: [43, 29, 27] from Operation: 65-38=27
Current State: 99:[43, 29, 27], Operations: ['65-38=27']
Exploring Operation: 43+29=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 43+29=72
Current State: 99:[27, 72], Operations: ['65-38=27', '43+29=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
23,
28,
31
] | 30 | [
"31-28=3",
"21/3=7",
"23+7=30"
] | Current State: 30:[21, 23, 28, 31], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [21, 23, 3]
Generated Node #2: [21, 23, 3] from Operation: 31-28=3
Current State: 30:[21, 23, 3], Operations: ['31-28=3']
Exploring Operation: 21/3=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 21/3=7
Current State: 30:[23, 7], Operations: ['31-28=3', '21/3=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
11,
33,
25,
59
] | 78 | [
"11+33=44",
"59-25=34",
"44+34=78"
] | Current State: 78:[11, 33, 25, 59], Operations: []
Exploring Operation: 11+33=44, Resulting Numbers: [25, 59, 44]
Generated Node #2: [25, 59, 44] from Operation: 11+33=44
Current State: 78:[25, 59, 44], Operations: ['11+33=44']
Exploring Operation: 59-25=34, Resulting Numbers: [44, 34]
Generated Node #3: [44, 34] from Operation: 59-25=34
Current State: 78:[44, 34], Operations: ['11+33=44', '59-25=34']
Exploring Operation: 44+34=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
73,
74,
72,
76
] | 75 | [
"72+76=148",
"148/74=2",
"73+2=75"
] | Current State: 75:[73, 74, 72, 76], Operations: []
Exploring Operation: 72+76=148, Resulting Numbers: [73, 74, 148]
Generated Node #2: [73, 74, 148] from Operation: 72+76=148
Current State: 75:[73, 74, 148], Operations: ['72+76=148']
Exploring Operation: 148/74=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 148/74=2
Current State: 75:[73, 2], Operations: ['72+76=148', '148/74=2']
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
44,
69,
72,
80
] | 67 | [
"80-44=36",
"72/36=2",
"69-2=67"
] | Current State: 67:[44, 69, 72, 80], Operations: []
Exploring Operation: 80-44=36, Resulting Numbers: [69, 72, 36]
Generated Node #2: [69, 72, 36] from Operation: 80-44=36
Current State: 67:[69, 72, 36], Operations: ['80-44=36']
Exploring Operation: 72/36=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 72/36=2
Current State: 67:[69, 2], Operations: ['80-44=36', '72/36=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
83,
73,
69,
69
] | 83 | [
"69-69=0",
"73*0=0",
"83+0=83"
] | Current State: 83:[83, 73, 69, 69], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [83, 73, 0]
Generated Node #2: [83, 73, 0] from Operation: 69-69=0
Current State: 83:[83, 73, 0], Operations: ['69-69=0']
Exploring Operation: 73*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 73*0=0
Current State: 83:[83, 0], Operations: ['69-69=0', '73*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
45,
84,
16,
83
] | 92 | [
"45+83=128",
"128/16=8",
"84+8=92"
] | Current State: 92:[45, 84, 16, 83], Operations: []
Exploring Operation: 45+83=128, Resulting Numbers: [84, 16, 128]
Generated Node #2: [84, 16, 128] from Operation: 45+83=128
Current State: 92:[84, 16, 128], Operations: ['45+83=128']
Exploring Operation: 128/16=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 128/16=8
Current State: 92:[84, 8], Operations: ['45+83=128', '128/16=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
60,
44,
51,
80
] | 84 | [
"60*44=2640",
"2640/80=33",
"51+33=84"
] | Current State: 84:[60, 44, 51, 80], Operations: []
Exploring Operation: 60*44=2640, Resulting Numbers: [51, 80, 2640]
Generated Node #2: [51, 80, 2640] from Operation: 60*44=2640
Current State: 84:[51, 80, 2640], Operations: ['60*44=2640']
Exploring Operation: 2640/80=33, Resulting Numbers: [51, 33]
Generated Node #3: [51, 33] from Operation: 2640/80=33
Current State: 84:[51, 33], Operations: ['60*44=2640', '2640/80=33']
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
2,
98,
1
] | 50 | [
"98-48=50",
"2-1=1",
"50*1=50"
] | Current State: 50:[48, 2, 98, 1], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [2, 1, 50]
Generated Node #2: [2, 1, 50] from Operation: 98-48=50
Current State: 50:[2, 1, 50], Operations: ['98-48=50']
Exploring Operation: 2-1=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 2-1=1
Current State: 50:[50, 1], Operations: ['98-48=50', '2-1=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
21,
58,
46
] | 63 | [
"46-21=25",
"25/5=5",
"58+5=63"
] | Current State: 63:[5, 21, 58, 46], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [5, 58, 25]
Generated Node #2: [5, 58, 25] from Operation: 46-21=25
Current State: 63:[5, 58, 25], Operations: ['46-21=25']
Exploring Operation: 25/5=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 25/5=5
Current State: 63:[58, 5], Operations: ['46-21=25', '25/5=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
66,
19,
45
] | 86 | [
"84+66=150",
"19+45=64",
"150-64=86"
] | Current State: 86:[84, 66, 19, 45], Operations: []
Exploring Operation: 84+66=150, Resulting Numbers: [19, 45, 150]
Generated Node #2: [19, 45, 150] from Operation: 84+66=150
Current State: 86:[19, 45, 150], Operations: ['84+66=150']
Exploring Operation: 19+45=64, Resulting Numbers: [150, 64]
Generated Node #3: [150, 64] from Operation: 19+45=64
Current State: 86:[150, 64], Operations: ['84+66=150', '19+45=64']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
34,
2,
25,
42
] | 34 | [
"34/2=17",
"42-25=17",
"17+17=34"
] | Current State: 34:[34, 2, 25, 42], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [25, 42, 17]
Generated Node #2: [25, 42, 17] from Operation: 34/2=17
Current State: 34:[25, 42, 17], Operations: ['34/2=17']
Exploring Operation: 42-25=17, Resulting Numbers: [17, 17]
Generated Node #3: [17, 17] from Operation: 42-25=17
Current State: 34:[17, 17], Operations: ['34/2=17', '42-25=17']
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
54,
75,
93,
72
] | 58 | [
"93-75=18",
"72/18=4",
"54+4=58"
] | Current State: 58:[54, 75, 93, 72], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [54, 72, 18]
Generated Node #2: [54, 72, 18] from Operation: 93-75=18
Current State: 58:[54, 72, 18], Operations: ['93-75=18']
Exploring Operation: 72/18=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 72/18=4
Current State: 58:[54, 4], Operations: ['93-75=18', '72/18=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
69,
15,
41
] | 56 | [
"13+69=82",
"41-15=26",
"82-26=56"
] | Current State: 56:[13, 69, 15, 41], Operations: []
Exploring Operation: 13+69=82, Resulting Numbers: [15, 41, 82]
Generated Node #2: [15, 41, 82] from Operation: 13+69=82
Current State: 56:[15, 41, 82], Operations: ['13+69=82']
Exploring Operation: 41-15=26, Resulting Numbers: [82, 26]
Generated Node #3: [82, 26] from Operation: 41-15=26
Current State: 56:[82, 26], Operations: ['13+69=82', '41-15=26']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
75,
2,
8
] | 14 | [
"17*8=136",
"75*2=150",
"150-136=14"
] | Current State: 14:[17, 75, 2, 8], Operations: []
Exploring Operation: 17*8=136, Resulting Numbers: [75, 2, 136]
Generated Node #2: [75, 2, 136] from Operation: 17*8=136
Current State: 14:[75, 2, 136], Operations: ['17*8=136']
Exploring Operation: 75*2=150, Resulting Numbers: [136, 150]
Generated Node #3: [136, 150] from Operation: 75*2=150
Current State: 14:[136, 150], Operations: ['17*8=136', '75*2=150']
Exploring Operation: 150-136=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
63,
9,
14,
44
] | 88 | [
"63/9=7",
"14*44=616",
"616/7=88"
] | Current State: 88:[63, 9, 14, 44], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [14, 44, 7]
Generated Node #2: [14, 44, 7] from Operation: 63/9=7
Current State: 88:[14, 44, 7], Operations: ['63/9=7']
Exploring Operation: 14*44=616, Resulting Numbers: [7, 616]
Generated Node #3: [7, 616] from Operation: 14*44=616
Current State: 88:[7, 616], Operations: ['63/9=7', '14*44=616']
Exploring Operation: 616/7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
17,
5,
29,
58
] | 60 | [
"17+29=46",
"58-46=12",
"5*12=60"
] | Current State: 60:[17, 5, 29, 58], Operations: []
Exploring Operation: 17+29=46, Resulting Numbers: [5, 58, 46]
Generated Node #2: [5, 58, 46] from Operation: 17+29=46
Current State: 60:[5, 58, 46], Operations: ['17+29=46']
Exploring Operation: 58-46=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 58-46=12
Current State: 60:[5, 12], Operations: ['17+29=46', '58-46=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
91,
58,
98,
75
] | 56 | [
"91-58=33",
"98-75=23",
"33+23=56"
] | Current State: 56:[91, 58, 98, 75], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [98, 75, 33]
Generated Node #2: [98, 75, 33] from Operation: 91-58=33
Current State: 56:[98, 75, 33], Operations: ['91-58=33']
Exploring Operation: 98-75=23, Resulting Numbers: [33, 23]
Generated Node #3: [33, 23] from Operation: 98-75=23
Current State: 56:[33, 23], Operations: ['91-58=33', '98-75=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
17,
57,
68,
32
] | 21 | [
"68/17=4",
"57-32=25",
"25-4=21"
] | Current State: 21:[17, 57, 68, 32], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [57, 32, 4]
Generated Node #2: [57, 32, 4] from Operation: 68/17=4
Current State: 21:[57, 32, 4], Operations: ['68/17=4']
Exploring Operation: 57-32=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 57-32=25
Current State: 21:[4, 25], Operations: ['68/17=4', '57-32=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
40,
18,
67,
65
] | 31 | [
"67-65=2",
"18/2=9",
"40-9=31"
] | Current State: 31:[40, 18, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [40, 18, 2]
Generated Node #2: [40, 18, 2] from Operation: 67-65=2
Current State: 31:[40, 18, 2], Operations: ['67-65=2']
Exploring Operation: 18/2=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 18/2=9
Current State: 31:[40, 9], Operations: ['67-65=2', '18/2=9']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
39,
69,
84,
95
] | 71 | [
"39+69=108",
"84+95=179",
"179-108=71"
] | Current State: 71:[39, 69, 84, 95], Operations: []
Exploring Operation: 39+69=108, Resulting Numbers: [84, 95, 108]
Generated Node #2: [84, 95, 108] from Operation: 39+69=108
Current State: 71:[84, 95, 108], Operations: ['39+69=108']
Exploring Operation: 84+95=179, Resulting Numbers: [108, 179]
Generated Node #3: [108, 179] from Operation: 84+95=179
Current State: 71:[108, 179], Operations: ['39+69=108', '84+95=179']
Exploring Operation: 179-108=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
18,
57,
69,
69
] | 74 | [
"18+57=75",
"69/69=1",
"75-1=74"
] | Current State: 74:[18, 57, 69, 69], Operations: []
Exploring Operation: 18+57=75, Resulting Numbers: [69, 69, 75]
Generated Node #2: [69, 69, 75] from Operation: 18+57=75
Current State: 74:[69, 69, 75], Operations: ['18+57=75']
Exploring Operation: 69/69=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 69/69=1
Current State: 74:[75, 1], Operations: ['18+57=75', '69/69=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
6,
25,
3,
61
] | 71 | [
"25-3=22",
"6*22=132",
"132-61=71"
] | Current State: 71:[6, 25, 3, 61], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [6, 61, 22]
Generated Node #2: [6, 61, 22] from Operation: 25-3=22
Current State: 71:[6, 61, 22], Operations: ['25-3=22']
Exploring Operation: 6*22=132, Resulting Numbers: [61, 132]
Generated Node #3: [61, 132] from Operation: 6*22=132
Current State: 71:[61, 132], Operations: ['25-3=22', '6*22=132']
Exploring Operation: 132-61=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
16,
64,
87,
24
] | 81 | [
"64/16=4",
"24/4=6",
"87-6=81"
] | Current State: 81:[16, 64, 87, 24], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [87, 24, 4]
Generated Node #2: [87, 24, 4] from Operation: 64/16=4
Current State: 81:[87, 24, 4], Operations: ['64/16=4']
Exploring Operation: 24/4=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 24/4=6
Current State: 81:[87, 6], Operations: ['64/16=4', '24/4=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
32,
49,
13,
41
] | 56 | [
"32*49=1568",
"41-13=28",
"1568/28=56"
] | Current State: 56:[32, 49, 13, 41], Operations: []
Exploring Operation: 32*49=1568, Resulting Numbers: [13, 41, 1568]
Generated Node #2: [13, 41, 1568] from Operation: 32*49=1568
Current State: 56:[13, 41, 1568], Operations: ['32*49=1568']
Exploring Operation: 41-13=28, Resulting Numbers: [1568, 28]
Generated Node #3: [1568, 28] from Operation: 41-13=28
Current State: 56:[1568, 28], Operations: ['32*49=1568', '41-13=28']
Exploring Operation: 1568/28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
99,
2,
90,
30
] | 94 | [
"99-2=97",
"90/30=3",
"97-3=94"
] | Current State: 94:[99, 2, 90, 30], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [90, 30, 97]
Generated Node #2: [90, 30, 97] from Operation: 99-2=97
Current State: 94:[90, 30, 97], Operations: ['99-2=97']
Exploring Operation: 90/30=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 90/30=3
Current State: 94:[97, 3], Operations: ['99-2=97', '90/30=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
62,
27,
59
] | 78 | [
"62-59=3",
"27/3=9",
"87-9=78"
] | Current State: 78:[87, 62, 27, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [87, 27, 3]
Generated Node #2: [87, 27, 3] from Operation: 62-59=3
Current State: 78:[87, 27, 3], Operations: ['62-59=3']
Exploring Operation: 27/3=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 27/3=9
Current State: 78:[87, 9], Operations: ['62-59=3', '27/3=9']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
90,
84,
83,
77
] | 89 | [
"90-83=7",
"84/7=12",
"77+12=89"
] | Current State: 89:[90, 84, 83, 77], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [84, 77, 7]
Generated Node #2: [84, 77, 7] from Operation: 90-83=7
Current State: 89:[84, 77, 7], Operations: ['90-83=7']
Exploring Operation: 84/7=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 84/7=12
Current State: 89:[77, 12], Operations: ['90-83=7', '84/7=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
56,
28,
30,
19
] | 51 | [
"56/28=2",
"30+19=49",
"2+49=51"
] | Current State: 51:[56, 28, 30, 19], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [30, 19, 2]
Generated Node #2: [30, 19, 2] from Operation: 56/28=2
Current State: 51:[30, 19, 2], Operations: ['56/28=2']
Exploring Operation: 30+19=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 30+19=49
Current State: 51:[2, 49], Operations: ['56/28=2', '30+19=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
17,
62,
49
] | 14 | [
"80+17=97",
"62+49=111",
"111-97=14"
] | Current State: 14:[80, 17, 62, 49], Operations: []
Exploring Operation: 80+17=97, Resulting Numbers: [62, 49, 97]
Generated Node #2: [62, 49, 97] from Operation: 80+17=97
Current State: 14:[62, 49, 97], Operations: ['80+17=97']
Exploring Operation: 62+49=111, Resulting Numbers: [97, 111]
Generated Node #3: [97, 111] from Operation: 62+49=111
Current State: 14:[97, 111], Operations: ['80+17=97', '62+49=111']
Exploring Operation: 111-97=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
56,
54,
53,
27
] | 63 | [
"56-53=3",
"27/3=9",
"54+9=63"
] | Current State: 63:[56, 54, 53, 27], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [54, 27, 3]
Generated Node #2: [54, 27, 3] from Operation: 56-53=3
Current State: 63:[54, 27, 3], Operations: ['56-53=3']
Exploring Operation: 27/3=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 27/3=9
Current State: 63:[54, 9], Operations: ['56-53=3', '27/3=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
87,
93,
19,
4
] | 26 | [
"87+93=180",
"180/4=45",
"45-19=26"
] | Current State: 26:[87, 93, 19, 4], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [19, 4, 180]
Generated Node #2: [19, 4, 180] from Operation: 87+93=180
Current State: 26:[19, 4, 180], Operations: ['87+93=180']
Exploring Operation: 180/4=45, Resulting Numbers: [19, 45]
Generated Node #3: [19, 45] from Operation: 180/4=45
Current State: 26:[19, 45], Operations: ['87+93=180', '180/4=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
74,
76,
22,
12
] | 68 | [
"76-74=2",
"22+12=34",
"2*34=68"
] | Current State: 68:[74, 76, 22, 12], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [22, 12, 2]
Generated Node #2: [22, 12, 2] from Operation: 76-74=2
Current State: 68:[22, 12, 2], Operations: ['76-74=2']
Exploring Operation: 22+12=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 22+12=34
Current State: 68:[2, 34], Operations: ['76-74=2', '22+12=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
51,
66,
13,
89
] | 64 | [
"13+89=102",
"102/51=2",
"66-2=64"
] | Current State: 64:[51, 66, 13, 89], Operations: []
Exploring Operation: 13+89=102, Resulting Numbers: [51, 66, 102]
Generated Node #2: [51, 66, 102] from Operation: 13+89=102
Current State: 64:[51, 66, 102], Operations: ['13+89=102']
Exploring Operation: 102/51=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 102/51=2
Current State: 64:[66, 2], Operations: ['13+89=102', '102/51=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
30,
83,
28
] | 87 | [
"82+30=112",
"112/28=4",
"83+4=87"
] | Current State: 87:[82, 30, 83, 28], Operations: []
Exploring Operation: 82+30=112, Resulting Numbers: [83, 28, 112]
Generated Node #2: [83, 28, 112] from Operation: 82+30=112
Current State: 87:[83, 28, 112], Operations: ['82+30=112']
Exploring Operation: 112/28=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 112/28=4
Current State: 87:[83, 4], Operations: ['82+30=112', '112/28=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
49,
80,
31,
81
] | 35 | [
"49*80=3920",
"31+81=112",
"3920/112=35"
] | Current State: 35:[49, 80, 31, 81], Operations: []
Exploring Operation: 49*80=3920, Resulting Numbers: [31, 81, 3920]
Generated Node #2: [31, 81, 3920] from Operation: 49*80=3920
Current State: 35:[31, 81, 3920], Operations: ['49*80=3920']
Exploring Operation: 31+81=112, Resulting Numbers: [3920, 112]
Generated Node #3: [3920, 112] from Operation: 31+81=112
Current State: 35:[3920, 112], Operations: ['49*80=3920', '31+81=112']
Exploring Operation: 3920/112=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
10,
37,
62,
6
] | 95 | [
"37-10=27",
"62+6=68",
"27+68=95"
] | Current State: 95:[10, 37, 62, 6], Operations: []
Exploring Operation: 37-10=27, Resulting Numbers: [62, 6, 27]
Generated Node #2: [62, 6, 27] from Operation: 37-10=27
Current State: 95:[62, 6, 27], Operations: ['37-10=27']
Exploring Operation: 62+6=68, Resulting Numbers: [27, 68]
Generated Node #3: [27, 68] from Operation: 62+6=68
Current State: 95:[27, 68], Operations: ['37-10=27', '62+6=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
2,
15,
76,
94
] | 97 | [
"2*94=188",
"15+76=91",
"188-91=97"
] | Current State: 97:[2, 15, 76, 94], Operations: []
Exploring Operation: 2*94=188, Resulting Numbers: [15, 76, 188]
Generated Node #2: [15, 76, 188] from Operation: 2*94=188
Current State: 97:[15, 76, 188], Operations: ['2*94=188']
Exploring Operation: 15+76=91, Resulting Numbers: [188, 91]
Generated Node #3: [188, 91] from Operation: 15+76=91
Current State: 97:[188, 91], Operations: ['2*94=188', '15+76=91']
Exploring Operation: 188-91=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
48,
56,
83
] | 23 | [
"68+48=116",
"56+83=139",
"139-116=23"
] | Current State: 23:[68, 48, 56, 83], Operations: []
Exploring Operation: 68+48=116, Resulting Numbers: [56, 83, 116]
Generated Node #2: [56, 83, 116] from Operation: 68+48=116
Current State: 23:[56, 83, 116], Operations: ['68+48=116']
Exploring Operation: 56+83=139, Resulting Numbers: [116, 139]
Generated Node #3: [116, 139] from Operation: 56+83=139
Current State: 23:[116, 139], Operations: ['68+48=116', '56+83=139']
Exploring Operation: 139-116=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
51,
92,
9
] | 77 | [
"4*9=36",
"92-51=41",
"36+41=77"
] | Current State: 77:[4, 51, 92, 9], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [51, 92, 36]
Generated Node #2: [51, 92, 36] from Operation: 4*9=36
Current State: 77:[51, 92, 36], Operations: ['4*9=36']
Exploring Operation: 92-51=41, Resulting Numbers: [36, 41]
Generated Node #3: [36, 41] from Operation: 92-51=41
Current State: 77:[36, 41], Operations: ['4*9=36', '92-51=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
78,
25,
62,
28
] | 30 | [
"78+62=140",
"140/28=5",
"25+5=30"
] | Current State: 30:[78, 25, 62, 28], Operations: []
Exploring Operation: 78+62=140, Resulting Numbers: [25, 28, 140]
Generated Node #2: [25, 28, 140] from Operation: 78+62=140
Current State: 30:[25, 28, 140], Operations: ['78+62=140']
Exploring Operation: 140/28=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 140/28=5
Current State: 30:[25, 5], Operations: ['78+62=140', '140/28=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
92,
71,
77
] | 86 | [
"77-71=6",
"36/6=6",
"92-6=86"
] | Current State: 86:[36, 92, 71, 77], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [36, 92, 6]
Generated Node #2: [36, 92, 6] from Operation: 77-71=6
Current State: 86:[36, 92, 6], Operations: ['77-71=6']
Exploring Operation: 36/6=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 36/6=6
Current State: 86:[92, 6], Operations: ['77-71=6', '36/6=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
95,
68,
61,
59
] | 54 | [
"95-68=27",
"61-59=2",
"27*2=54"
] | Current State: 54:[95, 68, 61, 59], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [61, 59, 27]
Generated Node #2: [61, 59, 27] from Operation: 95-68=27
Current State: 54:[61, 59, 27], Operations: ['95-68=27']
Exploring Operation: 61-59=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 61-59=2
Current State: 54:[27, 2], Operations: ['95-68=27', '61-59=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
53,
93,
55,
22
] | 82 | [
"55-53=2",
"22/2=11",
"93-11=82"
] | Current State: 82:[53, 93, 55, 22], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [93, 22, 2]
Generated Node #2: [93, 22, 2] from Operation: 55-53=2
Current State: 82:[93, 22, 2], Operations: ['55-53=2']
Exploring Operation: 22/2=11, Resulting Numbers: [93, 11]
Generated Node #3: [93, 11] from Operation: 22/2=11
Current State: 82:[93, 11], Operations: ['55-53=2', '22/2=11']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
5,
71,
55,
20
] | 62 | [
"55/5=11",
"71-20=51",
"11+51=62"
] | Current State: 62:[5, 71, 55, 20], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [71, 20, 11]
Generated Node #2: [71, 20, 11] from Operation: 55/5=11
Current State: 62:[71, 20, 11], Operations: ['55/5=11']
Exploring Operation: 71-20=51, Resulting Numbers: [11, 51]
Generated Node #3: [11, 51] from Operation: 71-20=51
Current State: 62:[11, 51], Operations: ['55/5=11', '71-20=51']
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
81,
22,
54,
74
] | 78 | [
"74-22=52",
"81*52=4212",
"4212/54=78"
] | Current State: 78:[81, 22, 54, 74], Operations: []
Exploring Operation: 74-22=52, Resulting Numbers: [81, 54, 52]
Generated Node #2: [81, 54, 52] from Operation: 74-22=52
Current State: 78:[81, 54, 52], Operations: ['74-22=52']
Exploring Operation: 81*52=4212, Resulting Numbers: [54, 4212]
Generated Node #3: [54, 4212] from Operation: 81*52=4212
Current State: 78:[54, 4212], Operations: ['74-22=52', '81*52=4212']
Exploring Operation: 4212/54=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
43,
40,
32,
61
] | 32 | [
"43-40=3",
"61-32=29",
"3+29=32"
] | Current State: 32:[43, 40, 32, 61], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [32, 61, 3]
Generated Node #2: [32, 61, 3] from Operation: 43-40=3
Current State: 32:[32, 61, 3], Operations: ['43-40=3']
Exploring Operation: 61-32=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 61-32=29
Current State: 32:[3, 29], Operations: ['43-40=3', '61-32=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
95,
47,
83
] | 55 | [
"90+95=185",
"47+83=130",
"185-130=55"
] | Current State: 55:[90, 95, 47, 83], Operations: []
Exploring Operation: 90+95=185, Resulting Numbers: [47, 83, 185]
Generated Node #2: [47, 83, 185] from Operation: 90+95=185
Current State: 55:[47, 83, 185], Operations: ['90+95=185']
Exploring Operation: 47+83=130, Resulting Numbers: [185, 130]
Generated Node #3: [185, 130] from Operation: 47+83=130
Current State: 55:[185, 130], Operations: ['90+95=185', '47+83=130']
Exploring Operation: 185-130=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
41,
73,
72,
53
] | 94 | [
"41+53=94",
"73-72=1",
"94*1=94"
] | Current State: 94:[41, 73, 72, 53], Operations: []
Exploring Operation: 41+53=94, Resulting Numbers: [73, 72, 94]
Generated Node #2: [73, 72, 94] from Operation: 41+53=94
Current State: 94:[73, 72, 94], Operations: ['41+53=94']
Exploring Operation: 73-72=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 73-72=1
Current State: 94:[94, 1], Operations: ['41+53=94', '73-72=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
89,
3,
48,
33
] | 11 | [
"89+3=92",
"48+33=81",
"92-81=11"
] | Current State: 11:[89, 3, 48, 33], Operations: []
Exploring Operation: 89+3=92, Resulting Numbers: [48, 33, 92]
Generated Node #2: [48, 33, 92] from Operation: 89+3=92
Current State: 11:[48, 33, 92], Operations: ['89+3=92']
Exploring Operation: 48+33=81, Resulting Numbers: [92, 81]
Generated Node #3: [92, 81] from Operation: 48+33=81
Current State: 11:[92, 81], Operations: ['89+3=92', '48+33=81']
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
9,
81,
79,
87
] | 39 | [
"87-9=78",
"81-79=2",
"78/2=39"
] | Current State: 39:[9, 81, 79, 87], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [81, 79, 78]
Generated Node #2: [81, 79, 78] from Operation: 87-9=78
Current State: 39:[81, 79, 78], Operations: ['87-9=78']
Exploring Operation: 81-79=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 81-79=2
Current State: 39:[78, 2], Operations: ['87-9=78', '81-79=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
32,
44,
48,
34
] | 62 | [
"32+44=76",
"48-34=14",
"76-14=62"
] | Current State: 62:[32, 44, 48, 34], Operations: []
Exploring Operation: 32+44=76, Resulting Numbers: [48, 34, 76]
Generated Node #2: [48, 34, 76] from Operation: 32+44=76
Current State: 62:[48, 34, 76], Operations: ['32+44=76']
Exploring Operation: 48-34=14, Resulting Numbers: [76, 14]
Generated Node #3: [76, 14] from Operation: 48-34=14
Current State: 62:[76, 14], Operations: ['32+44=76', '48-34=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
71,
17,
70,
96
] | 80 | [
"71-17=54",
"96-70=26",
"54+26=80"
] | Current State: 80:[71, 17, 70, 96], Operations: []
Exploring Operation: 71-17=54, Resulting Numbers: [70, 96, 54]
Generated Node #2: [70, 96, 54] from Operation: 71-17=54
Current State: 80:[70, 96, 54], Operations: ['71-17=54']
Exploring Operation: 96-70=26, Resulting Numbers: [54, 26]
Generated Node #3: [54, 26] from Operation: 96-70=26
Current State: 80:[54, 26], Operations: ['71-17=54', '96-70=26']
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
45,
7,
8,
40
] | 86 | [
"45-7=38",
"8+40=48",
"38+48=86"
] | Current State: 86:[45, 7, 8, 40], Operations: []
Exploring Operation: 45-7=38, Resulting Numbers: [8, 40, 38]
Generated Node #2: [8, 40, 38] from Operation: 45-7=38
Current State: 86:[8, 40, 38], Operations: ['45-7=38']
Exploring Operation: 8+40=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 8+40=48
Current State: 86:[38, 48], Operations: ['45-7=38', '8+40=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
66,
49,
11,
89
] | 46 | [
"66/11=6",
"89-49=40",
"6+40=46"
] | Current State: 46:[66, 49, 11, 89], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [49, 89, 6]
Generated Node #2: [49, 89, 6] from Operation: 66/11=6
Current State: 46:[49, 89, 6], Operations: ['66/11=6']
Exploring Operation: 89-49=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 89-49=40
Current State: 46:[6, 40], Operations: ['66/11=6', '89-49=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
74,
87,
17,
58
] | 88 | [
"87-74=13",
"17+58=75",
"13+75=88"
] | Current State: 88:[74, 87, 17, 58], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [17, 58, 13]
Generated Node #2: [17, 58, 13] from Operation: 87-74=13
Current State: 88:[17, 58, 13], Operations: ['87-74=13']
Exploring Operation: 17+58=75, Resulting Numbers: [13, 75]
Generated Node #3: [13, 75] from Operation: 17+58=75
Current State: 88:[13, 75], Operations: ['87-74=13', '17+58=75']
Exploring Operation: 13+75=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
75,
7,
46,
68
] | 79 | [
"68-46=22",
"7*22=154",
"154-75=79"
] | Current State: 79:[75, 7, 46, 68], Operations: []
Exploring Operation: 68-46=22, Resulting Numbers: [75, 7, 22]
Generated Node #2: [75, 7, 22] from Operation: 68-46=22
Current State: 79:[75, 7, 22], Operations: ['68-46=22']
Exploring Operation: 7*22=154, Resulting Numbers: [75, 154]
Generated Node #3: [75, 154] from Operation: 7*22=154
Current State: 79:[75, 154], Operations: ['68-46=22', '7*22=154']
Exploring Operation: 154-75=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
10,
26,
17
] | 13 | [
"66-10=56",
"26+17=43",
"56-43=13"
] | Current State: 13:[66, 10, 26, 17], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [26, 17, 56]
Generated Node #2: [26, 17, 56] from Operation: 66-10=56
Current State: 13:[26, 17, 56], Operations: ['66-10=56']
Exploring Operation: 26+17=43, Resulting Numbers: [56, 43]
Generated Node #3: [56, 43] from Operation: 26+17=43
Current State: 13:[56, 43], Operations: ['66-10=56', '26+17=43']
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
78,
52,
76,
34
] | 36 | [
"78-76=2",
"52-34=18",
"2*18=36"
] | Current State: 36:[78, 52, 76, 34], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [52, 34, 2]
Generated Node #2: [52, 34, 2] from Operation: 78-76=2
Current State: 36:[52, 34, 2], Operations: ['78-76=2']
Exploring Operation: 52-34=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 52-34=18
Current State: 36:[2, 18], Operations: ['78-76=2', '52-34=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
38,
39,
20,
2
] | 18 | [
"39-38=1",
"20-2=18",
"1*18=18"
] | Current State: 18:[38, 39, 20, 2], Operations: []
Exploring Operation: 39-38=1, Resulting Numbers: [20, 2, 1]
Generated Node #2: [20, 2, 1] from Operation: 39-38=1
Current State: 18:[20, 2, 1], Operations: ['39-38=1']
Exploring Operation: 20-2=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 20-2=18
Current State: 18:[1, 18], Operations: ['39-38=1', '20-2=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
77,
2,
29,
46
] | 14 | [
"77+29=106",
"2*46=92",
"106-92=14"
] | Current State: 14:[77, 2, 29, 46], Operations: []
Exploring Operation: 77+29=106, Resulting Numbers: [2, 46, 106]
Generated Node #2: [2, 46, 106] from Operation: 77+29=106
Current State: 14:[2, 46, 106], Operations: ['77+29=106']
Exploring Operation: 2*46=92, Resulting Numbers: [106, 92]
Generated Node #3: [106, 92] from Operation: 2*46=92
Current State: 14:[106, 92], Operations: ['77+29=106', '2*46=92']
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
70,
7,
73,
77
] | 56 | [
"73-70=3",
"7*3=21",
"77-21=56"
] | Current State: 56:[70, 7, 73, 77], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [7, 77, 3]
Generated Node #2: [7, 77, 3] from Operation: 73-70=3
Current State: 56:[7, 77, 3], Operations: ['73-70=3']
Exploring Operation: 7*3=21, Resulting Numbers: [77, 21]
Generated Node #3: [77, 21] from Operation: 7*3=21
Current State: 56:[77, 21], Operations: ['73-70=3', '7*3=21']
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
94,
79,
2,
2
] | 62 | [
"94+2=96",
"79*2=158",
"158-96=62"
] | Current State: 62:[94, 79, 2, 2], Operations: []
Exploring Operation: 94+2=96, Resulting Numbers: [79, 96]
Generated Node #2: [79, 96] from Operation: 94+2=96
Current State: 62:[79, 96], Operations: ['94+2=96']
Exploring Operation: 79*2=158, Resulting Numbers: [96, 158]
Generated Node #3: [96, 158] from Operation: 79*2=158
Current State: 62:[96, 158], Operations: ['94+2=96', '79*2=158']
Exploring Operation: 158-96=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
43,
40,
78
] | 82 | [
"79-43=36",
"40+78=118",
"118-36=82"
] | Current State: 82:[79, 43, 40, 78], Operations: []
Exploring Operation: 79-43=36, Resulting Numbers: [40, 78, 36]
Generated Node #2: [40, 78, 36] from Operation: 79-43=36
Current State: 82:[40, 78, 36], Operations: ['79-43=36']
Exploring Operation: 40+78=118, Resulting Numbers: [36, 118]
Generated Node #3: [36, 118] from Operation: 40+78=118
Current State: 82:[36, 118], Operations: ['79-43=36', '40+78=118']
Exploring Operation: 118-36=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
54,
75,
39,
20
] | 100 | [
"54-39=15",
"75*20=1500",
"1500/15=100"
] | Current State: 100:[54, 75, 39, 20], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [75, 20, 15]
Generated Node #2: [75, 20, 15] from Operation: 54-39=15
Current State: 100:[75, 20, 15], Operations: ['54-39=15']
Exploring Operation: 75*20=1500, Resulting Numbers: [15, 1500]
Generated Node #3: [15, 1500] from Operation: 75*20=1500
Current State: 100:[15, 1500], Operations: ['54-39=15', '75*20=1500']
Exploring Operation: 1500/15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
40,
85,
68,
81
] | 57 | [
"85-81=4",
"68/4=17",
"40+17=57"
] | Current State: 57:[40, 85, 68, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [40, 68, 4]
Generated Node #2: [40, 68, 4] from Operation: 85-81=4
Current State: 57:[40, 68, 4], Operations: ['85-81=4']
Exploring Operation: 68/4=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 68/4=17
Current State: 57:[40, 17], Operations: ['85-81=4', '68/4=17']
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
57,
27,
41,
2
] | 38 | [
"57-41=16",
"27*2=54",
"54-16=38"
] | Current State: 38:[57, 27, 41, 2], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [27, 2, 16]
Generated Node #2: [27, 2, 16] from Operation: 57-41=16
Current State: 38:[27, 2, 16], Operations: ['57-41=16']
Exploring Operation: 27*2=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 27*2=54
Current State: 38:[16, 54], Operations: ['57-41=16', '27*2=54']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
66,
89,
6,
11
] | 18 | [
"89-66=23",
"11-6=5",
"23-5=18"
] | Current State: 18:[66, 89, 6, 11], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [6, 11, 23]
Generated Node #2: [6, 11, 23] from Operation: 89-66=23
Current State: 18:[6, 11, 23], Operations: ['89-66=23']
Exploring Operation: 11-6=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 11-6=5
Current State: 18:[23, 5], Operations: ['89-66=23', '11-6=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
13,
1,
48,
21
] | 40 | [
"13*1=13",
"48-21=27",
"13+27=40"
] | Current State: 40:[13, 1, 48, 21], Operations: []
Exploring Operation: 13*1=13, Resulting Numbers: [48, 21, 13]
Generated Node #2: [48, 21, 13] from Operation: 13*1=13
Current State: 40:[48, 21, 13], Operations: ['13*1=13']
Exploring Operation: 48-21=27, Resulting Numbers: [13, 27]
Generated Node #3: [13, 27] from Operation: 48-21=27
Current State: 40:[13, 27], Operations: ['13*1=13', '48-21=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
11,
38,
10,
81
] | 31 | [
"81-11=70",
"70/10=7",
"38-7=31"
] | Current State: 31:[11, 38, 10, 81], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [38, 10, 70]
Generated Node #2: [38, 10, 70] from Operation: 81-11=70
Current State: 31:[38, 10, 70], Operations: ['81-11=70']
Exploring Operation: 70/10=7, Resulting Numbers: [38, 7]
Generated Node #3: [38, 7] from Operation: 70/10=7
Current State: 31:[38, 7], Operations: ['81-11=70', '70/10=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
20,
57,
13,
38
] | 17 | [
"20*57=1140",
"1140/38=30",
"30-13=17"
] | Current State: 17:[20, 57, 13, 38], Operations: []
Exploring Operation: 20*57=1140, Resulting Numbers: [13, 38, 1140]
Generated Node #2: [13, 38, 1140] from Operation: 20*57=1140
Current State: 17:[13, 38, 1140], Operations: ['20*57=1140']
Exploring Operation: 1140/38=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 1140/38=30
Current State: 17:[13, 30], Operations: ['20*57=1140', '1140/38=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
94,
8,
38
] | 100 | [
"10+38=48",
"48/8=6",
"94+6=100"
] | Current State: 100:[10, 94, 8, 38], Operations: []
Exploring Operation: 10+38=48, Resulting Numbers: [94, 8, 48]
Generated Node #2: [94, 8, 48] from Operation: 10+38=48
Current State: 100:[94, 8, 48], Operations: ['10+38=48']
Exploring Operation: 48/8=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 48/8=6
Current State: 100:[94, 6], Operations: ['10+38=48', '48/8=6']
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
77,
1,
24,
27
] | 74 | [
"77*1=77",
"27-24=3",
"77-3=74"
] | Current State: 74:[77, 1, 24, 27], Operations: []
Exploring Operation: 77*1=77, Resulting Numbers: [24, 27, 77]
Generated Node #2: [24, 27, 77] from Operation: 77*1=77
Current State: 74:[24, 27, 77], Operations: ['77*1=77']
Exploring Operation: 27-24=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 27-24=3
Current State: 74:[77, 3], Operations: ['77*1=77', '27-24=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
15,
43,
18,
36
] | 31 | [
"18-15=3",
"36/3=12",
"43-12=31"
] | Current State: 31:[15, 43, 18, 36], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [43, 36, 3]
Generated Node #2: [43, 36, 3] from Operation: 18-15=3
Current State: 31:[43, 36, 3], Operations: ['18-15=3']
Exploring Operation: 36/3=12, Resulting Numbers: [43, 12]
Generated Node #3: [43, 12] from Operation: 36/3=12
Current State: 31:[43, 12], Operations: ['18-15=3', '36/3=12']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
29,
3,
28
] | 77 | [
"64-29=35",
"3*35=105",
"105-28=77"
] | Current State: 77:[64, 29, 3, 28], Operations: []
Exploring Operation: 64-29=35, Resulting Numbers: [3, 28, 35]
Generated Node #2: [3, 28, 35] from Operation: 64-29=35
Current State: 77:[3, 28, 35], Operations: ['64-29=35']
Exploring Operation: 3*35=105, Resulting Numbers: [28, 105]
Generated Node #3: [28, 105] from Operation: 3*35=105
Current State: 77:[28, 105], Operations: ['64-29=35', '3*35=105']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
80,
40,
90,
52
] | 76 | [
"80/40=2",
"90-52=38",
"2*38=76"
] | Current State: 76:[80, 40, 90, 52], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [90, 52, 2]
Generated Node #2: [90, 52, 2] from Operation: 80/40=2
Current State: 76:[90, 52, 2], Operations: ['80/40=2']
Exploring Operation: 90-52=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 90-52=38
Current State: 76:[2, 38], Operations: ['80/40=2', '90-52=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
19,
85,
81,
8
] | 68 | [
"19+85=104",
"104/8=13",
"81-13=68"
] | Current State: 68:[19, 85, 81, 8], Operations: []
Exploring Operation: 19+85=104, Resulting Numbers: [81, 8, 104]
Generated Node #2: [81, 8, 104] from Operation: 19+85=104
Current State: 68:[81, 8, 104], Operations: ['19+85=104']
Exploring Operation: 104/8=13, Resulting Numbers: [81, 13]
Generated Node #3: [81, 13] from Operation: 104/8=13
Current State: 68:[81, 13], Operations: ['19+85=104', '104/8=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
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