nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
56,
4,
10,
32
] | 94 | [
"56-4=52",
"10+32=42",
"52+42=94"
] | Current State: 94:[56, 4, 10, 32], Operations: []
Exploring Operation: 56-4=52, Resulting Numbers: [10, 32, 52]
Generated Node #2: [10, 32, 52] from Operation: 56-4=52
Current State: 94:[10, 32, 52], Operations: ['56-4=52']
Exploring Operation: 10+32=42, Resulting Numbers: [52, 42]
Generated Node #3: [52, 42] from Operation: 10+32=42
Current State: 94:[52, 42], Operations: ['56-4=52', '10+32=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
69,
7,
43,
99
] | 77 | [
"99-43=56",
"56/7=8",
"69+8=77"
] | Current State: 77:[69, 7, 43, 99], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [69, 7, 56]
Generated Node #2: [69, 7, 56] from Operation: 99-43=56
Current State: 77:[69, 7, 56], Operations: ['99-43=56']
Exploring Operation: 56/7=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 56/7=8
Current State: 77:[69, 8], Operations: ['99-43=56', '56/7=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
31,
69,
28,
4
] | 81 | [
"31-28=3",
"4*3=12",
"69+12=81"
] | Current State: 81:[31, 69, 28, 4], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [69, 4, 3]
Generated Node #2: [69, 4, 3] from Operation: 31-28=3
Current State: 81:[69, 4, 3], Operations: ['31-28=3']
Exploring Operation: 4*3=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 4*3=12
Current State: 81:[69, 12], Operations: ['31-28=3', '4*3=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
99,
48,
3
] | 10 | [
"99-21=78",
"78-48=30",
"30/3=10"
] | Current State: 10:[21, 99, 48, 3], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [48, 3, 78]
Generated Node #2: [48, 3, 78] from Operation: 99-21=78
Current State: 10:[48, 3, 78], Operations: ['99-21=78']
Exploring Operation: 78-48=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 78-48=30
Current State: 10:[3, 30], Operations: ['99-21=78', '78-48=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
2,
86,
63
] | 67 | [
"86-15=71",
"63+71=134",
"134/2=67"
] | Current State: 67:[15, 2, 86, 63], Operations: []
Exploring Operation: 86-15=71, Resulting Numbers: [2, 63, 71]
Generated Node #2: [2, 63, 71] from Operation: 86-15=71
Current State: 67:[2, 63, 71], Operations: ['86-15=71']
Exploring Operation: 63+71=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 63+71=134
Current State: 67:[2, 134], Operations: ['86-15=71', '63+71=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
80,
76,
92,
78
] | 86 | [
"80+92=172",
"78-76=2",
"172/2=86"
] | Current State: 86:[80, 76, 92, 78], Operations: []
Exploring Operation: 80+92=172, Resulting Numbers: [76, 78, 172]
Generated Node #2: [76, 78, 172] from Operation: 80+92=172
Current State: 86:[76, 78, 172], Operations: ['80+92=172']
Exploring Operation: 78-76=2, Resulting Numbers: [172, 2]
Generated Node #3: [172, 2] from Operation: 78-76=2
Current State: 86:[172, 2], Operations: ['80+92=172', '78-76=2']
Exploring Operation: 172/2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
92,
26,
82,
48
] | 32 | [
"92-26=66",
"82-48=34",
"66-34=32"
] | Current State: 32:[92, 26, 82, 48], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [82, 48, 66]
Generated Node #2: [82, 48, 66] from Operation: 92-26=66
Current State: 32:[82, 48, 66], Operations: ['92-26=66']
Exploring Operation: 82-48=34, Resulting Numbers: [66, 34]
Generated Node #3: [66, 34] from Operation: 82-48=34
Current State: 32:[66, 34], Operations: ['92-26=66', '82-48=34']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
49,
50,
1
] | 47 | [
"49-46=3",
"50*1=50",
"50-3=47"
] | Current State: 47:[46, 49, 50, 1], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [50, 1, 3]
Generated Node #2: [50, 1, 3] from Operation: 49-46=3
Current State: 47:[50, 1, 3], Operations: ['49-46=3']
Exploring Operation: 50*1=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 50*1=50
Current State: 47:[3, 50], Operations: ['49-46=3', '50*1=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
80,
66,
52,
27
] | 65 | [
"80-66=14",
"52+27=79",
"79-14=65"
] | Current State: 65:[80, 66, 52, 27], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [52, 27, 14]
Generated Node #2: [52, 27, 14] from Operation: 80-66=14
Current State: 65:[52, 27, 14], Operations: ['80-66=14']
Exploring Operation: 52+27=79, Resulting Numbers: [14, 79]
Generated Node #3: [14, 79] from Operation: 52+27=79
Current State: 65:[14, 79], Operations: ['80-66=14', '52+27=79']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
82,
97,
53,
76
] | 50 | [
"82+97=179",
"53+76=129",
"179-129=50"
] | Current State: 50:[82, 97, 53, 76], Operations: []
Exploring Operation: 82+97=179, Resulting Numbers: [53, 76, 179]
Generated Node #2: [53, 76, 179] from Operation: 82+97=179
Current State: 50:[53, 76, 179], Operations: ['82+97=179']
Exploring Operation: 53+76=129, Resulting Numbers: [179, 129]
Generated Node #3: [179, 129] from Operation: 53+76=129
Current State: 50:[179, 129], Operations: ['82+97=179', '53+76=129']
Exploring Operation: 179-129=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
89,
46,
53,
48
] | 48 | [
"89-46=43",
"53-48=5",
"43+5=48"
] | Current State: 48:[89, 46, 53, 48], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [53, 48, 43]
Generated Node #2: [53, 48, 43] from Operation: 89-46=43
Current State: 48:[53, 48, 43], Operations: ['89-46=43']
Exploring Operation: 53-48=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 53-48=5
Current State: 48:[43, 5], Operations: ['89-46=43', '53-48=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
45,
32,
96,
42
] | 81 | [
"96/32=3",
"42*3=126",
"126-45=81"
] | Current State: 81:[45, 32, 96, 42], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [45, 42, 3]
Generated Node #2: [45, 42, 3] from Operation: 96/32=3
Current State: 81:[45, 42, 3], Operations: ['96/32=3']
Exploring Operation: 42*3=126, Resulting Numbers: [45, 126]
Generated Node #3: [45, 126] from Operation: 42*3=126
Current State: 81:[45, 126], Operations: ['96/32=3', '42*3=126']
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
5,
62,
43
] | 25 | [
"30/5=6",
"62-43=19",
"6+19=25"
] | Current State: 25:[30, 5, 62, 43], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [62, 43, 6]
Generated Node #2: [62, 43, 6] from Operation: 30/5=6
Current State: 25:[62, 43, 6], Operations: ['30/5=6']
Exploring Operation: 62-43=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 62-43=19
Current State: 25:[6, 19], Operations: ['30/5=6', '62-43=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
69,
57,
29,
19
] | 60 | [
"69-57=12",
"29+19=48",
"12+48=60"
] | Current State: 60:[69, 57, 29, 19], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [29, 19, 12]
Generated Node #2: [29, 19, 12] from Operation: 69-57=12
Current State: 60:[29, 19, 12], Operations: ['69-57=12']
Exploring Operation: 29+19=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 29+19=48
Current State: 60:[12, 48], Operations: ['69-57=12', '29+19=48']
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
13,
29,
43
] | 98 | [
"71+13=84",
"43-29=14",
"84+14=98"
] | Current State: 98:[71, 13, 29, 43], Operations: []
Exploring Operation: 71+13=84, Resulting Numbers: [29, 43, 84]
Generated Node #2: [29, 43, 84] from Operation: 71+13=84
Current State: 98:[29, 43, 84], Operations: ['71+13=84']
Exploring Operation: 43-29=14, Resulting Numbers: [84, 14]
Generated Node #3: [84, 14] from Operation: 43-29=14
Current State: 98:[84, 14], Operations: ['71+13=84', '43-29=14']
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
83,
82,
78,
48
] | 29 | [
"83-82=1",
"78-48=30",
"30-1=29"
] | Current State: 29:[83, 82, 78, 48], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [78, 48, 1]
Generated Node #2: [78, 48, 1] from Operation: 83-82=1
Current State: 29:[78, 48, 1], Operations: ['83-82=1']
Exploring Operation: 78-48=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 78-48=30
Current State: 29:[1, 30], Operations: ['83-82=1', '78-48=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
31,
19,
75,
11
] | 76 | [
"31-19=12",
"75-11=64",
"12+64=76"
] | Current State: 76:[31, 19, 75, 11], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [75, 11, 12]
Generated Node #2: [75, 11, 12] from Operation: 31-19=12
Current State: 76:[75, 11, 12], Operations: ['31-19=12']
Exploring Operation: 75-11=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 75-11=64
Current State: 76:[12, 64], Operations: ['31-19=12', '75-11=64']
Exploring Operation: 12+64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
16,
36,
56,
54
] | 72 | [
"36*56=2016",
"2016/16=126",
"126-54=72"
] | Current State: 72:[16, 36, 56, 54], Operations: []
Exploring Operation: 36*56=2016, Resulting Numbers: [16, 54, 2016]
Generated Node #2: [16, 54, 2016] from Operation: 36*56=2016
Current State: 72:[16, 54, 2016], Operations: ['36*56=2016']
Exploring Operation: 2016/16=126, Resulting Numbers: [54, 126]
Generated Node #3: [54, 126] from Operation: 2016/16=126
Current State: 72:[54, 126], Operations: ['36*56=2016', '2016/16=126']
Exploring Operation: 126-54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
58,
54,
8
] | 100 | [
"13*8=104",
"58-54=4",
"104-4=100"
] | Current State: 100:[13, 58, 54, 8], Operations: []
Exploring Operation: 13*8=104, Resulting Numbers: [58, 54, 104]
Generated Node #2: [58, 54, 104] from Operation: 13*8=104
Current State: 100:[58, 54, 104], Operations: ['13*8=104']
Exploring Operation: 58-54=4, Resulting Numbers: [104, 4]
Generated Node #3: [104, 4] from Operation: 58-54=4
Current State: 100:[104, 4], Operations: ['13*8=104', '58-54=4']
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
86,
87,
28
] | 29 | [
"38*87=3306",
"86+28=114",
"3306/114=29"
] | Current State: 29:[38, 86, 87, 28], Operations: []
Exploring Operation: 38*87=3306, Resulting Numbers: [86, 28, 3306]
Generated Node #2: [86, 28, 3306] from Operation: 38*87=3306
Current State: 29:[86, 28, 3306], Operations: ['38*87=3306']
Exploring Operation: 86+28=114, Resulting Numbers: [3306, 114]
Generated Node #3: [3306, 114] from Operation: 86+28=114
Current State: 29:[3306, 114], Operations: ['38*87=3306', '86+28=114']
Exploring Operation: 3306/114=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
69,
53,
9,
29
] | 54 | [
"69-53=16",
"9+29=38",
"16+38=54"
] | Current State: 54:[69, 53, 9, 29], Operations: []
Exploring Operation: 69-53=16, Resulting Numbers: [9, 29, 16]
Generated Node #2: [9, 29, 16] from Operation: 69-53=16
Current State: 54:[9, 29, 16], Operations: ['69-53=16']
Exploring Operation: 9+29=38, Resulting Numbers: [16, 38]
Generated Node #3: [16, 38] from Operation: 9+29=38
Current State: 54:[16, 38], Operations: ['69-53=16', '9+29=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
80,
97,
59,
84
] | 87 | [
"80+97=177",
"177/59=3",
"84+3=87"
] | Current State: 87:[80, 97, 59, 84], Operations: []
Exploring Operation: 80+97=177, Resulting Numbers: [59, 84, 177]
Generated Node #2: [59, 84, 177] from Operation: 80+97=177
Current State: 87:[59, 84, 177], Operations: ['80+97=177']
Exploring Operation: 177/59=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 177/59=3
Current State: 87:[84, 3], Operations: ['80+97=177', '177/59=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
63,
96,
92,
11
] | 70 | [
"96-63=33",
"92+11=103",
"103-33=70"
] | Current State: 70:[63, 96, 92, 11], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [92, 11, 33]
Generated Node #2: [92, 11, 33] from Operation: 96-63=33
Current State: 70:[92, 11, 33], Operations: ['96-63=33']
Exploring Operation: 92+11=103, Resulting Numbers: [33, 103]
Generated Node #3: [33, 103] from Operation: 92+11=103
Current State: 70:[33, 103], Operations: ['96-63=33', '92+11=103']
Exploring Operation: 103-33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
76,
23,
38
] | 85 | [
"70+76=146",
"23+38=61",
"146-61=85"
] | Current State: 85:[70, 76, 23, 38], Operations: []
Exploring Operation: 70+76=146, Resulting Numbers: [23, 38, 146]
Generated Node #2: [23, 38, 146] from Operation: 70+76=146
Current State: 85:[23, 38, 146], Operations: ['70+76=146']
Exploring Operation: 23+38=61, Resulting Numbers: [146, 61]
Generated Node #3: [146, 61] from Operation: 23+38=61
Current State: 85:[146, 61], Operations: ['70+76=146', '23+38=61']
Exploring Operation: 146-61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
21,
48,
8
] | 22 | [
"13+21=34",
"48+8=56",
"56-34=22"
] | Current State: 22:[13, 21, 48, 8], Operations: []
Exploring Operation: 13+21=34, Resulting Numbers: [48, 8, 34]
Generated Node #2: [48, 8, 34] from Operation: 13+21=34
Current State: 22:[48, 8, 34], Operations: ['13+21=34']
Exploring Operation: 48+8=56, Resulting Numbers: [34, 56]
Generated Node #3: [34, 56] from Operation: 48+8=56
Current State: 22:[34, 56], Operations: ['13+21=34', '48+8=56']
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
49,
40,
4,
95
] | 36 | [
"95-49=46",
"40/4=10",
"46-10=36"
] | Current State: 36:[49, 40, 4, 95], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [40, 4, 46]
Generated Node #2: [40, 4, 46] from Operation: 95-49=46
Current State: 36:[40, 4, 46], Operations: ['95-49=46']
Exploring Operation: 40/4=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 40/4=10
Current State: 36:[46, 10], Operations: ['95-49=46', '40/4=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
58,
15,
8,
64
] | 33 | [
"64-58=6",
"8*6=48",
"48-15=33"
] | Current State: 33:[58, 15, 8, 64], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [15, 8, 6]
Generated Node #2: [15, 8, 6] from Operation: 64-58=6
Current State: 33:[15, 8, 6], Operations: ['64-58=6']
Exploring Operation: 8*6=48, Resulting Numbers: [15, 48]
Generated Node #3: [15, 48] from Operation: 8*6=48
Current State: 33:[15, 48], Operations: ['64-58=6', '8*6=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
43,
3,
35,
11
] | 45 | [
"43+35=78",
"3*11=33",
"78-33=45"
] | Current State: 45:[43, 3, 35, 11], Operations: []
Exploring Operation: 43+35=78, Resulting Numbers: [3, 11, 78]
Generated Node #2: [3, 11, 78] from Operation: 43+35=78
Current State: 45:[3, 11, 78], Operations: ['43+35=78']
Exploring Operation: 3*11=33, Resulting Numbers: [78, 33]
Generated Node #3: [78, 33] from Operation: 3*11=33
Current State: 45:[78, 33], Operations: ['43+35=78', '3*11=33']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
6,
66,
38,
59
] | 81 | [
"66-6=60",
"59-38=21",
"60+21=81"
] | Current State: 81:[6, 66, 38, 59], Operations: []
Exploring Operation: 66-6=60, Resulting Numbers: [38, 59, 60]
Generated Node #2: [38, 59, 60] from Operation: 66-6=60
Current State: 81:[38, 59, 60], Operations: ['66-6=60']
Exploring Operation: 59-38=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 59-38=21
Current State: 81:[60, 21], Operations: ['66-6=60', '59-38=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
9,
16,
34,
44
] | 71 | [
"16-9=7",
"34+44=78",
"78-7=71"
] | Current State: 71:[9, 16, 34, 44], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [34, 44, 7]
Generated Node #2: [34, 44, 7] from Operation: 16-9=7
Current State: 71:[34, 44, 7], Operations: ['16-9=7']
Exploring Operation: 34+44=78, Resulting Numbers: [7, 78]
Generated Node #3: [7, 78] from Operation: 34+44=78
Current State: 71:[7, 78], Operations: ['16-9=7', '34+44=78']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
14,
4,
4,
62
] | 23 | [
"14+62=76",
"76/4=19",
"4+19=23"
] | Current State: 23:[14, 4, 4, 62], Operations: []
Exploring Operation: 14+62=76, Resulting Numbers: [4, 4, 76]
Generated Node #2: [4, 4, 76] from Operation: 14+62=76
Current State: 23:[4, 4, 76], Operations: ['14+62=76']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,23 equal: Goal Reached
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
69,
71,
31,
56
] | 85 | [
"71-69=2",
"31+56=87",
"87-2=85"
] | Current State: 85:[69, 71, 31, 56], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [31, 56, 2]
Generated Node #2: [31, 56, 2] from Operation: 71-69=2
Current State: 85:[31, 56, 2], Operations: ['71-69=2']
Exploring Operation: 31+56=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 31+56=87
Current State: 85:[2, 87], Operations: ['71-69=2', '31+56=87']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
84,
14,
69,
28
] | 29 | [
"84-14=70",
"69-28=41",
"70-41=29"
] | Current State: 29:[84, 14, 69, 28], Operations: []
Exploring Operation: 84-14=70, Resulting Numbers: [69, 28, 70]
Generated Node #2: [69, 28, 70] from Operation: 84-14=70
Current State: 29:[69, 28, 70], Operations: ['84-14=70']
Exploring Operation: 69-28=41, Resulting Numbers: [70, 41]
Generated Node #3: [70, 41] from Operation: 69-28=41
Current State: 29:[70, 41], Operations: ['84-14=70', '69-28=41']
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
64,
34,
25,
6
] | 61 | [
"64-34=30",
"25+6=31",
"30+31=61"
] | Current State: 61:[64, 34, 25, 6], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [25, 6, 30]
Generated Node #2: [25, 6, 30] from Operation: 64-34=30
Current State: 61:[25, 6, 30], Operations: ['64-34=30']
Exploring Operation: 25+6=31, Resulting Numbers: [30, 31]
Generated Node #3: [30, 31] from Operation: 25+6=31
Current State: 61:[30, 31], Operations: ['64-34=30', '25+6=31']
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
54,
96,
58,
4
] | 52 | [
"54+96=150",
"58+150=208",
"208/4=52"
] | Current State: 52:[54, 96, 58, 4], Operations: []
Exploring Operation: 54+96=150, Resulting Numbers: [58, 4, 150]
Generated Node #2: [58, 4, 150] from Operation: 54+96=150
Current State: 52:[58, 4, 150], Operations: ['54+96=150']
Exploring Operation: 58+150=208, Resulting Numbers: [4, 208]
Generated Node #3: [4, 208] from Operation: 58+150=208
Current State: 52:[4, 208], Operations: ['54+96=150', '58+150=208']
Exploring Operation: 208/4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
86,
15,
83,
62
] | 67 | [
"86-83=3",
"15/3=5",
"62+5=67"
] | Current State: 67:[86, 15, 83, 62], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [15, 62, 3]
Generated Node #2: [15, 62, 3] from Operation: 86-83=3
Current State: 67:[15, 62, 3], Operations: ['86-83=3']
Exploring Operation: 15/3=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 15/3=5
Current State: 67:[62, 5], Operations: ['86-83=3', '15/3=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
35,
22,
26,
50
] | 89 | [
"35-22=13",
"26+50=76",
"13+76=89"
] | Current State: 89:[35, 22, 26, 50], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [26, 50, 13]
Generated Node #2: [26, 50, 13] from Operation: 35-22=13
Current State: 89:[26, 50, 13], Operations: ['35-22=13']
Exploring Operation: 26+50=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 26+50=76
Current State: 89:[13, 76], Operations: ['35-22=13', '26+50=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
9,
71,
46,
47
] | 63 | [
"71-9=62",
"47-46=1",
"62+1=63"
] | Current State: 63:[9, 71, 46, 47], Operations: []
Exploring Operation: 71-9=62, Resulting Numbers: [46, 47, 62]
Generated Node #2: [46, 47, 62] from Operation: 71-9=62
Current State: 63:[46, 47, 62], Operations: ['71-9=62']
Exploring Operation: 47-46=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 47-46=1
Current State: 63:[62, 1], Operations: ['71-9=62', '47-46=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
40,
68,
84
] | 78 | [
"26*84=2184",
"68-40=28",
"2184/28=78"
] | Current State: 78:[26, 40, 68, 84], Operations: []
Exploring Operation: 26*84=2184, Resulting Numbers: [40, 68, 2184]
Generated Node #2: [40, 68, 2184] from Operation: 26*84=2184
Current State: 78:[40, 68, 2184], Operations: ['26*84=2184']
Exploring Operation: 68-40=28, Resulting Numbers: [2184, 28]
Generated Node #3: [2184, 28] from Operation: 68-40=28
Current State: 78:[2184, 28], Operations: ['26*84=2184', '68-40=28']
Exploring Operation: 2184/28=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
4,
66,
68,
34
] | 26 | [
"68-66=2",
"4*2=8",
"34-8=26"
] | Current State: 26:[4, 66, 68, 34], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [4, 34, 2]
Generated Node #2: [4, 34, 2] from Operation: 68-66=2
Current State: 26:[4, 34, 2], Operations: ['68-66=2']
Exploring Operation: 4*2=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 4*2=8
Current State: 26:[34, 8], Operations: ['68-66=2', '4*2=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
59,
26,
50,
2
] | 42 | [
"59*2=118",
"26+50=76",
"118-76=42"
] | Current State: 42:[59, 26, 50, 2], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [26, 50, 118]
Generated Node #2: [26, 50, 118] from Operation: 59*2=118
Current State: 42:[26, 50, 118], Operations: ['59*2=118']
Exploring Operation: 26+50=76, Resulting Numbers: [118, 76]
Generated Node #3: [118, 76] from Operation: 26+50=76
Current State: 42:[118, 76], Operations: ['59*2=118', '26+50=76']
Exploring Operation: 118-76=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
55,
8,
27,
23
] | 51 | [
"55-8=47",
"27-23=4",
"47+4=51"
] | Current State: 51:[55, 8, 27, 23], Operations: []
Exploring Operation: 55-8=47, Resulting Numbers: [27, 23, 47]
Generated Node #2: [27, 23, 47] from Operation: 55-8=47
Current State: 51:[27, 23, 47], Operations: ['55-8=47']
Exploring Operation: 27-23=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 27-23=4
Current State: 51:[47, 4], Operations: ['55-8=47', '27-23=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
50,
41,
13,
28
] | 50 | [
"50+41=91",
"13+28=41",
"91-41=50"
] | Current State: 50:[50, 41, 13, 28], Operations: []
Exploring Operation: 50+41=91, Resulting Numbers: [13, 28, 91]
Generated Node #2: [13, 28, 91] from Operation: 50+41=91
Current State: 50:[13, 28, 91], Operations: ['50+41=91']
Exploring Operation: 13+28=41, Resulting Numbers: [91, 41]
Generated Node #3: [91, 41] from Operation: 13+28=41
Current State: 50:[91, 41], Operations: ['50+41=91', '13+28=41']
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
5,
34,
89
] | 48 | [
"12-5=7",
"89-34=55",
"55-7=48"
] | Current State: 48:[12, 5, 34, 89], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [34, 89, 7]
Generated Node #2: [34, 89, 7] from Operation: 12-5=7
Current State: 48:[34, 89, 7], Operations: ['12-5=7']
Exploring Operation: 89-34=55, Resulting Numbers: [7, 55]
Generated Node #3: [7, 55] from Operation: 89-34=55
Current State: 48:[7, 55], Operations: ['12-5=7', '89-34=55']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
30,
33,
52,
29
] | 18 | [
"30+33=63",
"52+29=81",
"81-63=18"
] | Current State: 18:[30, 33, 52, 29], Operations: []
Exploring Operation: 30+33=63, Resulting Numbers: [52, 29, 63]
Generated Node #2: [52, 29, 63] from Operation: 30+33=63
Current State: 18:[52, 29, 63], Operations: ['30+33=63']
Exploring Operation: 52+29=81, Resulting Numbers: [63, 81]
Generated Node #3: [63, 81] from Operation: 52+29=81
Current State: 18:[63, 81], Operations: ['30+33=63', '52+29=81']
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
20,
81,
13,
1
] | 87 | [
"20+81=101",
"13+1=14",
"101-14=87"
] | Current State: 87:[20, 81, 13, 1], Operations: []
Exploring Operation: 20+81=101, Resulting Numbers: [13, 1, 101]
Generated Node #2: [13, 1, 101] from Operation: 20+81=101
Current State: 87:[13, 1, 101], Operations: ['20+81=101']
Exploring Operation: 13+1=14, Resulting Numbers: [101, 14]
Generated Node #3: [101, 14] from Operation: 13+1=14
Current State: 87:[101, 14], Operations: ['20+81=101', '13+1=14']
Exploring Operation: 101-14=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
9,
39,
10
] | 71 | [
"47-39=8",
"10*8=80",
"80-9=71"
] | Current State: 71:[47, 9, 39, 10], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [9, 10, 8]
Generated Node #2: [9, 10, 8] from Operation: 47-39=8
Current State: 71:[9, 10, 8], Operations: ['47-39=8']
Exploring Operation: 10*8=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 10*8=80
Current State: 71:[9, 80], Operations: ['47-39=8', '10*8=80']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
93,
29,
67,
51
] | 48 | [
"93-29=64",
"67-51=16",
"64-16=48"
] | Current State: 48:[93, 29, 67, 51], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [67, 51, 64]
Generated Node #2: [67, 51, 64] from Operation: 93-29=64
Current State: 48:[67, 51, 64], Operations: ['93-29=64']
Exploring Operation: 67-51=16, Resulting Numbers: [64, 16]
Generated Node #3: [64, 16] from Operation: 67-51=16
Current State: 48:[64, 16], Operations: ['93-29=64', '67-51=16']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
42,
68,
93,
32
] | 15 | [
"42+68=110",
"93+32=125",
"125-110=15"
] | Current State: 15:[42, 68, 93, 32], Operations: []
Exploring Operation: 42+68=110, Resulting Numbers: [93, 32, 110]
Generated Node #2: [93, 32, 110] from Operation: 42+68=110
Current State: 15:[93, 32, 110], Operations: ['42+68=110']
Exploring Operation: 93+32=125, Resulting Numbers: [110, 125]
Generated Node #3: [110, 125] from Operation: 93+32=125
Current State: 15:[110, 125], Operations: ['42+68=110', '93+32=125']
Exploring Operation: 125-110=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
43,
68,
46,
75
] | 71 | [
"68*46=3128",
"3128-75=3053",
"3053/43=71"
] | Current State: 71:[43, 68, 46, 75], Operations: []
Exploring Operation: 68*46=3128, Resulting Numbers: [43, 75, 3128]
Generated Node #2: [43, 75, 3128] from Operation: 68*46=3128
Current State: 71:[43, 75, 3128], Operations: ['68*46=3128']
Exploring Operation: 3128-75=3053, Resulting Numbers: [43, 3053]
Generated Node #3: [43, 3053] from Operation: 3128-75=3053
Current State: 71:[43, 3053], Operations: ['68*46=3128', '3128-75=3053']
Exploring Operation: 3053/43=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
29,
27,
34
] | 92 | [
"70+29=99",
"34-27=7",
"99-7=92"
] | Current State: 92:[70, 29, 27, 34], Operations: []
Exploring Operation: 70+29=99, Resulting Numbers: [27, 34, 99]
Generated Node #2: [27, 34, 99] from Operation: 70+29=99
Current State: 92:[27, 34, 99], Operations: ['70+29=99']
Exploring Operation: 34-27=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 34-27=7
Current State: 92:[99, 7], Operations: ['70+29=99', '34-27=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
46,
23,
40,
65
] | 23 | [
"46/23=2",
"65-40=25",
"25-2=23"
] | Current State: 23:[46, 23, 40, 65], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [40, 65, 2]
Generated Node #2: [40, 65, 2] from Operation: 46/23=2
Current State: 23:[40, 65, 2], Operations: ['46/23=2']
Exploring Operation: 65-40=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 65-40=25
Current State: 23:[2, 25], Operations: ['46/23=2', '65-40=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
98,
55,
60,
30
] | 45 | [
"98-55=43",
"60/30=2",
"43+2=45"
] | Current State: 45:[98, 55, 60, 30], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [60, 30, 43]
Generated Node #2: [60, 30, 43] from Operation: 98-55=43
Current State: 45:[60, 30, 43], Operations: ['98-55=43']
Exploring Operation: 60/30=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 60/30=2
Current State: 45:[43, 2], Operations: ['98-55=43', '60/30=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
79,
51,
2
] | 46 | [
"79-72=7",
"51+2=53",
"53-7=46"
] | Current State: 46:[72, 79, 51, 2], Operations: []
Exploring Operation: 79-72=7, Resulting Numbers: [51, 2, 7]
Generated Node #2: [51, 2, 7] from Operation: 79-72=7
Current State: 46:[51, 2, 7], Operations: ['79-72=7']
Exploring Operation: 51+2=53, Resulting Numbers: [7, 53]
Generated Node #3: [7, 53] from Operation: 51+2=53
Current State: 46:[7, 53], Operations: ['79-72=7', '51+2=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
11,
86,
7
] | 92 | [
"59+7=66",
"66/11=6",
"86+6=92"
] | Current State: 92:[59, 11, 86, 7], Operations: []
Exploring Operation: 59+7=66, Resulting Numbers: [11, 86, 66]
Generated Node #2: [11, 86, 66] from Operation: 59+7=66
Current State: 92:[11, 86, 66], Operations: ['59+7=66']
Exploring Operation: 66/11=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 66/11=6
Current State: 92:[86, 6], Operations: ['59+7=66', '66/11=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
90,
54,
55
] | 12 | [
"55-43=12",
"90+54=144",
"144/12=12"
] | Current State: 12:[43, 90, 54, 55], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [90, 54, 12]
Generated Node #2: [90, 54, 12] from Operation: 55-43=12
Current State: 12:[90, 54, 12], Operations: ['55-43=12']
Exploring Operation: 90+54=144, Resulting Numbers: [12, 144]
Generated Node #3: [12, 144] from Operation: 90+54=144
Current State: 12:[12, 144], Operations: ['55-43=12', '90+54=144']
Exploring Operation: 144/12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
97,
25,
74,
60
] | 50 | [
"97-60=37",
"25*74=1850",
"1850/37=50"
] | Current State: 50:[97, 25, 74, 60], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [25, 74, 37]
Generated Node #2: [25, 74, 37] from Operation: 97-60=37
Current State: 50:[25, 74, 37], Operations: ['97-60=37']
Exploring Operation: 25*74=1850, Resulting Numbers: [37, 1850]
Generated Node #3: [37, 1850] from Operation: 25*74=1850
Current State: 50:[37, 1850], Operations: ['97-60=37', '25*74=1850']
Exploring Operation: 1850/37=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
99,
63,
8
] | 37 | [
"80-63=17",
"8*17=136",
"136-99=37"
] | Current State: 37:[80, 99, 63, 8], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [99, 8, 17]
Generated Node #2: [99, 8, 17] from Operation: 80-63=17
Current State: 37:[99, 8, 17], Operations: ['80-63=17']
Exploring Operation: 8*17=136, Resulting Numbers: [99, 136]
Generated Node #3: [99, 136] from Operation: 8*17=136
Current State: 37:[99, 136], Operations: ['80-63=17', '8*17=136']
Exploring Operation: 136-99=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
23,
89,
20,
90
] | 43 | [
"23+20=43",
"90-89=1",
"43*1=43"
] | Current State: 43:[23, 89, 20, 90], Operations: []
Exploring Operation: 23+20=43, Resulting Numbers: [89, 90, 43]
Generated Node #2: [89, 90, 43] from Operation: 23+20=43
Current State: 43:[89, 90, 43], Operations: ['23+20=43']
Exploring Operation: 90-89=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 90-89=1
Current State: 43:[43, 1], Operations: ['23+20=43', '90-89=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
30,
42,
51,
25
] | 46 | [
"30+42=72",
"51-25=26",
"72-26=46"
] | Current State: 46:[30, 42, 51, 25], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [51, 25, 72]
Generated Node #2: [51, 25, 72] from Operation: 30+42=72
Current State: 46:[51, 25, 72], Operations: ['30+42=72']
Exploring Operation: 51-25=26, Resulting Numbers: [72, 26]
Generated Node #3: [72, 26] from Operation: 51-25=26
Current State: 46:[72, 26], Operations: ['30+42=72', '51-25=26']
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
50,
43,
95,
80
] | 82 | [
"50+43=93",
"95+80=175",
"175-93=82"
] | Current State: 82:[50, 43, 95, 80], Operations: []
Exploring Operation: 50+43=93, Resulting Numbers: [95, 80, 93]
Generated Node #2: [95, 80, 93] from Operation: 50+43=93
Current State: 82:[95, 80, 93], Operations: ['50+43=93']
Exploring Operation: 95+80=175, Resulting Numbers: [93, 175]
Generated Node #3: [93, 175] from Operation: 95+80=175
Current State: 82:[93, 175], Operations: ['50+43=93', '95+80=175']
Exploring Operation: 175-93=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
56,
61,
46,
75
] | 42 | [
"75-61=14",
"56/14=4",
"46-4=42"
] | Current State: 42:[56, 61, 46, 75], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [56, 46, 14]
Generated Node #2: [56, 46, 14] from Operation: 75-61=14
Current State: 42:[56, 46, 14], Operations: ['75-61=14']
Exploring Operation: 56/14=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 56/14=4
Current State: 42:[46, 4], Operations: ['75-61=14', '56/14=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
34,
13,
32,
33
] | 39 | [
"32+33=65",
"65/13=5",
"34+5=39"
] | Current State: 39:[34, 13, 32, 33], Operations: []
Exploring Operation: 32+33=65, Resulting Numbers: [34, 13, 65]
Generated Node #2: [34, 13, 65] from Operation: 32+33=65
Current State: 39:[34, 13, 65], Operations: ['32+33=65']
Exploring Operation: 65/13=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 65/13=5
Current State: 39:[34, 5], Operations: ['32+33=65', '65/13=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
95,
98,
33,
48
] | 37 | [
"98-95=3",
"33/3=11",
"48-11=37"
] | Current State: 37:[95, 98, 33, 48], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [33, 48, 3]
Generated Node #2: [33, 48, 3] from Operation: 98-95=3
Current State: 37:[33, 48, 3], Operations: ['98-95=3']
Exploring Operation: 33/3=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 33/3=11
Current State: 37:[48, 11], Operations: ['98-95=3', '33/3=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
20,
93,
99
] | 42 | [
"56-20=36",
"99-93=6",
"36+6=42"
] | Current State: 42:[56, 20, 93, 99], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [93, 99, 36]
Generated Node #2: [93, 99, 36] from Operation: 56-20=36
Current State: 42:[93, 99, 36], Operations: ['56-20=36']
Exploring Operation: 99-93=6, Resulting Numbers: [36, 6]
Generated Node #3: [36, 6] from Operation: 99-93=6
Current State: 42:[36, 6], Operations: ['56-20=36', '99-93=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
84,
30,
85,
65
] | 74 | [
"84-30=54",
"85-65=20",
"54+20=74"
] | Current State: 74:[84, 30, 85, 65], Operations: []
Exploring Operation: 84-30=54, Resulting Numbers: [85, 65, 54]
Generated Node #2: [85, 65, 54] from Operation: 84-30=54
Current State: 74:[85, 65, 54], Operations: ['84-30=54']
Exploring Operation: 85-65=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 85-65=20
Current State: 74:[54, 20], Operations: ['84-30=54', '85-65=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
14,
1,
55,
86
] | 44 | [
"14-1=13",
"86-55=31",
"13+31=44"
] | Current State: 44:[14, 1, 55, 86], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [55, 86, 13]
Generated Node #2: [55, 86, 13] from Operation: 14-1=13
Current State: 44:[55, 86, 13], Operations: ['14-1=13']
Exploring Operation: 86-55=31, Resulting Numbers: [13, 31]
Generated Node #3: [13, 31] from Operation: 86-55=31
Current State: 44:[13, 31], Operations: ['14-1=13', '86-55=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
10,
55,
89,
36
] | 60 | [
"10+55=65",
"89+36=125",
"125-65=60"
] | Current State: 60:[10, 55, 89, 36], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [89, 36, 65]
Generated Node #2: [89, 36, 65] from Operation: 10+55=65
Current State: 60:[89, 36, 65], Operations: ['10+55=65']
Exploring Operation: 89+36=125, Resulting Numbers: [65, 125]
Generated Node #3: [65, 125] from Operation: 89+36=125
Current State: 60:[65, 125], Operations: ['10+55=65', '89+36=125']
Exploring Operation: 125-65=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
85,
65,
5,
68
] | 30 | [
"85+5=90",
"68-65=3",
"90/3=30"
] | Current State: 30:[85, 65, 5, 68], Operations: []
Exploring Operation: 85+5=90, Resulting Numbers: [65, 68, 90]
Generated Node #2: [65, 68, 90] from Operation: 85+5=90
Current State: 30:[65, 68, 90], Operations: ['85+5=90']
Exploring Operation: 68-65=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 68-65=3
Current State: 30:[90, 3], Operations: ['85+5=90', '68-65=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
17,
3,
64,
59
] | 56 | [
"17*3=51",
"64-59=5",
"51+5=56"
] | Current State: 56:[17, 3, 64, 59], Operations: []
Exploring Operation: 17*3=51, Resulting Numbers: [64, 59, 51]
Generated Node #2: [64, 59, 51] from Operation: 17*3=51
Current State: 56:[64, 59, 51], Operations: ['17*3=51']
Exploring Operation: 64-59=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 64-59=5
Current State: 56:[51, 5], Operations: ['17*3=51', '64-59=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
51,
29,
68
] | 93 | [
"55-51=4",
"29+68=97",
"97-4=93"
] | Current State: 93:[55, 51, 29, 68], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [29, 68, 4]
Generated Node #2: [29, 68, 4] from Operation: 55-51=4
Current State: 93:[29, 68, 4], Operations: ['55-51=4']
Exploring Operation: 29+68=97, Resulting Numbers: [4, 97]
Generated Node #3: [4, 97] from Operation: 29+68=97
Current State: 93:[4, 97], Operations: ['55-51=4', '29+68=97']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
14,
48,
5,
92
] | 53 | [
"48-14=34",
"92-5=87",
"87-34=53"
] | Current State: 53:[14, 48, 5, 92], Operations: []
Exploring Operation: 48-14=34, Resulting Numbers: [5, 92, 34]
Generated Node #2: [5, 92, 34] from Operation: 48-14=34
Current State: 53:[5, 92, 34], Operations: ['48-14=34']
Exploring Operation: 92-5=87, Resulting Numbers: [34, 87]
Generated Node #3: [34, 87] from Operation: 92-5=87
Current State: 53:[34, 87], Operations: ['48-14=34', '92-5=87']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
88,
85,
36
] | 32 | [
"60+36=96",
"88-85=3",
"96/3=32"
] | Current State: 32:[60, 88, 85, 36], Operations: []
Exploring Operation: 60+36=96, Resulting Numbers: [88, 85, 96]
Generated Node #2: [88, 85, 96] from Operation: 60+36=96
Current State: 32:[88, 85, 96], Operations: ['60+36=96']
Exploring Operation: 88-85=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 88-85=3
Current State: 32:[96, 3], Operations: ['60+36=96', '88-85=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
19,
32,
58,
18
] | 63 | [
"32-19=13",
"58+18=76",
"76-13=63"
] | Current State: 63:[19, 32, 58, 18], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [58, 18, 13]
Generated Node #2: [58, 18, 13] from Operation: 32-19=13
Current State: 63:[58, 18, 13], Operations: ['32-19=13']
Exploring Operation: 58+18=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 58+18=76
Current State: 63:[13, 76], Operations: ['32-19=13', '58+18=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
64,
32,
32,
13
] | 39 | [
"64+32=96",
"96/32=3",
"13*3=39"
] | Current State: 39:[64, 32, 32, 13], Operations: []
Exploring Operation: 64+32=96, Resulting Numbers: [13, 96]
Generated Node #2: [13, 96] from Operation: 64+32=96
Current State: 39:[13, 96], Operations: ['64+32=96']
Exploring Operation: 96/32=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 96/32=3
Current State: 39:[13, 3], Operations: ['64+32=96', '96/32=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
47,
17,
25,
11
] | 78 | [
"47+17=64",
"25-11=14",
"64+14=78"
] | Current State: 78:[47, 17, 25, 11], Operations: []
Exploring Operation: 47+17=64, Resulting Numbers: [25, 11, 64]
Generated Node #2: [25, 11, 64] from Operation: 47+17=64
Current State: 78:[25, 11, 64], Operations: ['47+17=64']
Exploring Operation: 25-11=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 25-11=14
Current State: 78:[64, 14], Operations: ['47+17=64', '25-11=14']
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
80,
74,
19
] | 36 | [
"11+80=91",
"74-19=55",
"91-55=36"
] | Current State: 36:[11, 80, 74, 19], Operations: []
Exploring Operation: 11+80=91, Resulting Numbers: [74, 19, 91]
Generated Node #2: [74, 19, 91] from Operation: 11+80=91
Current State: 36:[74, 19, 91], Operations: ['11+80=91']
Exploring Operation: 74-19=55, Resulting Numbers: [91, 55]
Generated Node #3: [91, 55] from Operation: 74-19=55
Current State: 36:[91, 55], Operations: ['11+80=91', '74-19=55']
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
64,
23,
33,
27
] | 49 | [
"27-23=4",
"64/4=16",
"33+16=49"
] | Current State: 49:[64, 23, 33, 27], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [64, 33, 4]
Generated Node #2: [64, 33, 4] from Operation: 27-23=4
Current State: 49:[64, 33, 4], Operations: ['27-23=4']
Exploring Operation: 64/4=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 64/4=16
Current State: 49:[33, 16], Operations: ['27-23=4', '64/4=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
56,
93,
19
] | 24 | [
"56-6=50",
"93-19=74",
"74-50=24"
] | Current State: 24:[6, 56, 93, 19], Operations: []
Exploring Operation: 56-6=50, Resulting Numbers: [93, 19, 50]
Generated Node #2: [93, 19, 50] from Operation: 56-6=50
Current State: 24:[93, 19, 50], Operations: ['56-6=50']
Exploring Operation: 93-19=74, Resulting Numbers: [50, 74]
Generated Node #3: [50, 74] from Operation: 93-19=74
Current State: 24:[50, 74], Operations: ['56-6=50', '93-19=74']
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
31,
7,
8,
62
] | 42 | [
"62/31=2",
"8-2=6",
"7*6=42"
] | Current State: 42:[31, 7, 8, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [7, 8, 2]
Generated Node #2: [7, 8, 2] from Operation: 62/31=2
Current State: 42:[7, 8, 2], Operations: ['62/31=2']
Exploring Operation: 8-2=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 8-2=6
Current State: 42:[7, 6], Operations: ['62/31=2', '8-2=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
49,
37,
87,
7
] | 82 | [
"49-37=12",
"87+7=94",
"94-12=82"
] | Current State: 82:[49, 37, 87, 7], Operations: []
Exploring Operation: 49-37=12, Resulting Numbers: [87, 7, 12]
Generated Node #2: [87, 7, 12] from Operation: 49-37=12
Current State: 82:[87, 7, 12], Operations: ['49-37=12']
Exploring Operation: 87+7=94, Resulting Numbers: [12, 94]
Generated Node #3: [12, 94] from Operation: 87+7=94
Current State: 82:[12, 94], Operations: ['49-37=12', '87+7=94']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
2,
76,
48,
23
] | 77 | [
"48/2=24",
"76-23=53",
"24+53=77"
] | Current State: 77:[2, 76, 48, 23], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [76, 23, 24]
Generated Node #2: [76, 23, 24] from Operation: 48/2=24
Current State: 77:[76, 23, 24], Operations: ['48/2=24']
Exploring Operation: 76-23=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 76-23=53
Current State: 77:[24, 53], Operations: ['48/2=24', '76-23=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
73,
28,
57,
69
] | 64 | [
"73-69=4",
"28/4=7",
"57+7=64"
] | Current State: 64:[73, 28, 57, 69], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [28, 57, 4]
Generated Node #2: [28, 57, 4] from Operation: 73-69=4
Current State: 64:[28, 57, 4], Operations: ['73-69=4']
Exploring Operation: 28/4=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 28/4=7
Current State: 64:[57, 7], Operations: ['73-69=4', '28/4=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
46,
54,
7,
25
] | 49 | [
"25-7=18",
"54/18=3",
"46+3=49"
] | Current State: 49:[46, 54, 7, 25], Operations: []
Exploring Operation: 25-7=18, Resulting Numbers: [46, 54, 18]
Generated Node #2: [46, 54, 18] from Operation: 25-7=18
Current State: 49:[46, 54, 18], Operations: ['25-7=18']
Exploring Operation: 54/18=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 54/18=3
Current State: 49:[46, 3], Operations: ['25-7=18', '54/18=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
19,
69,
21,
44
] | 50 | [
"21-19=2",
"69-44=25",
"2*25=50"
] | Current State: 50:[19, 69, 21, 44], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [69, 44, 2]
Generated Node #2: [69, 44, 2] from Operation: 21-19=2
Current State: 50:[69, 44, 2], Operations: ['21-19=2']
Exploring Operation: 69-44=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 69-44=25
Current State: 50:[2, 25], Operations: ['21-19=2', '69-44=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
14,
44,
36,
63
] | 61 | [
"36-14=22",
"44/22=2",
"63-2=61"
] | Current State: 61:[14, 44, 36, 63], Operations: []
Exploring Operation: 36-14=22, Resulting Numbers: [44, 63, 22]
Generated Node #2: [44, 63, 22] from Operation: 36-14=22
Current State: 61:[44, 63, 22], Operations: ['36-14=22']
Exploring Operation: 44/22=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 44/22=2
Current State: 61:[63, 2], Operations: ['36-14=22', '44/22=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
67,
77,
3,
69
] | 72 | [
"67+77=144",
"3+69=72",
"144-72=72"
] | Current State: 72:[67, 77, 3, 69], Operations: []
Exploring Operation: 67+77=144, Resulting Numbers: [3, 69, 144]
Generated Node #2: [3, 69, 144] from Operation: 67+77=144
Current State: 72:[3, 69, 144], Operations: ['67+77=144']
Exploring Operation: 3+69=72, Resulting Numbers: [144, 72]
Generated Node #3: [144, 72] from Operation: 3+69=72
Current State: 72:[144, 72], Operations: ['67+77=144', '3+69=72']
Exploring Operation: 144-72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
39,
40,
70
] | 37 | [
"10+70=80",
"80/40=2",
"39-2=37"
] | Current State: 37:[10, 39, 40, 70], Operations: []
Exploring Operation: 10+70=80, Resulting Numbers: [39, 40, 80]
Generated Node #2: [39, 40, 80] from Operation: 10+70=80
Current State: 37:[39, 40, 80], Operations: ['10+70=80']
Exploring Operation: 80/40=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 80/40=2
Current State: 37:[39, 2], Operations: ['10+70=80', '80/40=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
54,
50,
51,
24
] | 29 | [
"54+50=104",
"51+24=75",
"104-75=29"
] | Current State: 29:[54, 50, 51, 24], Operations: []
Exploring Operation: 54+50=104, Resulting Numbers: [51, 24, 104]
Generated Node #2: [51, 24, 104] from Operation: 54+50=104
Current State: 29:[51, 24, 104], Operations: ['54+50=104']
Exploring Operation: 51+24=75, Resulting Numbers: [104, 75]
Generated Node #3: [104, 75] from Operation: 51+24=75
Current State: 29:[104, 75], Operations: ['54+50=104', '51+24=75']
Exploring Operation: 104-75=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
26,
93,
16,
13
] | 38 | [
"93-26=67",
"16+13=29",
"67-29=38"
] | Current State: 38:[26, 93, 16, 13], Operations: []
Exploring Operation: 93-26=67, Resulting Numbers: [16, 13, 67]
Generated Node #2: [16, 13, 67] from Operation: 93-26=67
Current State: 38:[16, 13, 67], Operations: ['93-26=67']
Exploring Operation: 16+13=29, Resulting Numbers: [67, 29]
Generated Node #3: [67, 29] from Operation: 16+13=29
Current State: 38:[67, 29], Operations: ['93-26=67', '16+13=29']
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
35,
92,
81,
2
] | 81 | [
"35*2=70",
"92-81=11",
"70+11=81"
] | Current State: 81:[35, 92, 81, 2], Operations: []
Exploring Operation: 35*2=70, Resulting Numbers: [92, 81, 70]
Generated Node #2: [92, 81, 70] from Operation: 35*2=70
Current State: 81:[92, 81, 70], Operations: ['35*2=70']
Exploring Operation: 92-81=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 92-81=11
Current State: 81:[70, 11], Operations: ['35*2=70', '92-81=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
82,
85,
89,
18
] | 60 | [
"82+85=167",
"89+18=107",
"167-107=60"
] | Current State: 60:[82, 85, 89, 18], Operations: []
Exploring Operation: 82+85=167, Resulting Numbers: [89, 18, 167]
Generated Node #2: [89, 18, 167] from Operation: 82+85=167
Current State: 60:[89, 18, 167], Operations: ['82+85=167']
Exploring Operation: 89+18=107, Resulting Numbers: [167, 107]
Generated Node #3: [167, 107] from Operation: 89+18=107
Current State: 60:[167, 107], Operations: ['82+85=167', '89+18=107']
Exploring Operation: 167-107=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
98,
34,
19,
72
] | 95 | [
"98+72=170",
"170/34=5",
"19*5=95"
] | Current State: 95:[98, 34, 19, 72], Operations: []
Exploring Operation: 98+72=170, Resulting Numbers: [34, 19, 170]
Generated Node #2: [34, 19, 170] from Operation: 98+72=170
Current State: 95:[34, 19, 170], Operations: ['98+72=170']
Exploring Operation: 170/34=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 170/34=5
Current State: 95:[19, 5], Operations: ['98+72=170', '170/34=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
19,
23,
32,
50
] | 95 | [
"23+32=55",
"55-50=5",
"19*5=95"
] | Current State: 95:[19, 23, 32, 50], Operations: []
Exploring Operation: 23+32=55, Resulting Numbers: [19, 50, 55]
Generated Node #2: [19, 50, 55] from Operation: 23+32=55
Current State: 95:[19, 50, 55], Operations: ['23+32=55']
Exploring Operation: 55-50=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 55-50=5
Current State: 95:[19, 5], Operations: ['23+32=55', '55-50=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
33,
56,
87
] | 28 | [
"52+33=85",
"87-85=2",
"56/2=28"
] | Current State: 28:[52, 33, 56, 87], Operations: []
Exploring Operation: 52+33=85, Resulting Numbers: [56, 87, 85]
Generated Node #2: [56, 87, 85] from Operation: 52+33=85
Current State: 28:[56, 87, 85], Operations: ['52+33=85']
Exploring Operation: 87-85=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 87-85=2
Current State: 28:[56, 2], Operations: ['52+33=85', '87-85=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
9,
3,
7
] | 71 | [
"26*9=234",
"234/3=78",
"78-7=71"
] | Current State: 71:[26, 9, 3, 7], Operations: []
Exploring Operation: 26*9=234, Resulting Numbers: [3, 7, 234]
Generated Node #2: [3, 7, 234] from Operation: 26*9=234
Current State: 71:[3, 7, 234], Operations: ['26*9=234']
Exploring Operation: 234/3=78, Resulting Numbers: [7, 78]
Generated Node #3: [7, 78] from Operation: 234/3=78
Current State: 71:[7, 78], Operations: ['26*9=234', '234/3=78']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
19,
45,
95,
33
] | 24 | [
"19*45=855",
"855/95=9",
"33-9=24"
] | Current State: 24:[19, 45, 95, 33], Operations: []
Exploring Operation: 19*45=855, Resulting Numbers: [95, 33, 855]
Generated Node #2: [95, 33, 855] from Operation: 19*45=855
Current State: 24:[95, 33, 855], Operations: ['19*45=855']
Exploring Operation: 855/95=9, Resulting Numbers: [33, 9]
Generated Node #3: [33, 9] from Operation: 855/95=9
Current State: 24:[33, 9], Operations: ['19*45=855', '855/95=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
5,
1,
9
] | 52 | [
"5+1=6",
"78*6=468",
"468/9=52"
] | Current State: 52:[78, 5, 1, 9], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [78, 9, 6]
Generated Node #2: [78, 9, 6] from Operation: 5+1=6
Current State: 52:[78, 9, 6], Operations: ['5+1=6']
Exploring Operation: 78*6=468, Resulting Numbers: [9, 468]
Generated Node #3: [9, 468] from Operation: 78*6=468
Current State: 52:[9, 468], Operations: ['5+1=6', '78*6=468']
Exploring Operation: 468/9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
45,
73,
5
] | 57 | [
"73-45=28",
"5*28=140",
"140-83=57"
] | Current State: 57:[83, 45, 73, 5], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [83, 5, 28]
Generated Node #2: [83, 5, 28] from Operation: 73-45=28
Current State: 57:[83, 5, 28], Operations: ['73-45=28']
Exploring Operation: 5*28=140, Resulting Numbers: [83, 140]
Generated Node #3: [83, 140] from Operation: 5*28=140
Current State: 57:[83, 140], Operations: ['73-45=28', '5*28=140']
Exploring Operation: 140-83=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
37,
4,
58,
56
] | 45 | [
"58-56=2",
"4*2=8",
"37+8=45"
] | Current State: 45:[37, 4, 58, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [37, 4, 2]
Generated Node #2: [37, 4, 2] from Operation: 58-56=2
Current State: 45:[37, 4, 2], Operations: ['58-56=2']
Exploring Operation: 4*2=8, Resulting Numbers: [37, 8]
Generated Node #3: [37, 8] from Operation: 4*2=8
Current State: 45:[37, 8], Operations: ['58-56=2', '4*2=8']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
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