nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
69,
21,
73
] | 59 | [
"73-69=4",
"21*4=84",
"84-25=59"
] | Current State: 59:[25, 69, 21, 73], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [25, 21, 4]
Generated Node #2: [25, 21, 4] from Operation: 73-69=4
Current State: 59:[25, 21, 4], Operations: ['73-69=4']
Exploring Operation: 21*4=84, Resulting Numbers: [25, 84]
Generated Node #3: [25, 84] from Operation: 21*4=84
Current State: 59:[25, 84], Operations: ['73-69=4', '21*4=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
16,
77,
2,
73
] | 49 | [
"77-16=61",
"2*61=122",
"122-73=49"
] | Current State: 49:[16, 77, 2, 73], Operations: []
Exploring Operation: 77-16=61, Resulting Numbers: [2, 73, 61]
Generated Node #2: [2, 73, 61] from Operation: 77-16=61
Current State: 49:[2, 73, 61], Operations: ['77-16=61']
Exploring Operation: 2*61=122, Resulting Numbers: [73, 122]
Generated Node #3: [73, 122] from Operation: 2*61=122
Current State: 49:[73, 122], Operations: ['77-16=61', '2*61=122']
Exploring Operation: 122-73=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
60,
71,
54,
56
] | 21 | [
"60+71=131",
"54+56=110",
"131-110=21"
] | Current State: 21:[60, 71, 54, 56], Operations: []
Exploring Operation: 60+71=131, Resulting Numbers: [54, 56, 131]
Generated Node #2: [54, 56, 131] from Operation: 60+71=131
Current State: 21:[54, 56, 131], Operations: ['60+71=131']
Exploring Operation: 54+56=110, Resulting Numbers: [131, 110]
Generated Node #3: [131, 110] from Operation: 54+56=110
Current State: 21:[131, 110], Operations: ['60+71=131', '54+56=110']
Exploring Operation: 131-110=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
97,
33,
62
] | 96 | [
"28+97=125",
"62-33=29",
"125-29=96"
] | Current State: 96:[28, 97, 33, 62], Operations: []
Exploring Operation: 28+97=125, Resulting Numbers: [33, 62, 125]
Generated Node #2: [33, 62, 125] from Operation: 28+97=125
Current State: 96:[33, 62, 125], Operations: ['28+97=125']
Exploring Operation: 62-33=29, Resulting Numbers: [125, 29]
Generated Node #3: [125, 29] from Operation: 62-33=29
Current State: 96:[125, 29], Operations: ['28+97=125', '62-33=29']
Exploring Operation: 125-29=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
97,
48,
32,
63
] | 50 | [
"97+48=145",
"32+63=95",
"145-95=50"
] | Current State: 50:[97, 48, 32, 63], Operations: []
Exploring Operation: 97+48=145, Resulting Numbers: [32, 63, 145]
Generated Node #2: [32, 63, 145] from Operation: 97+48=145
Current State: 50:[32, 63, 145], Operations: ['97+48=145']
Exploring Operation: 32+63=95, Resulting Numbers: [145, 95]
Generated Node #3: [145, 95] from Operation: 32+63=95
Current State: 50:[145, 95], Operations: ['97+48=145', '32+63=95']
Exploring Operation: 145-95=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
53,
8,
47
] | 67 | [
"53-41=12",
"8+47=55",
"12+55=67"
] | Current State: 67:[41, 53, 8, 47], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [8, 47, 12]
Generated Node #2: [8, 47, 12] from Operation: 53-41=12
Current State: 67:[8, 47, 12], Operations: ['53-41=12']
Exploring Operation: 8+47=55, Resulting Numbers: [12, 55]
Generated Node #3: [12, 55] from Operation: 8+47=55
Current State: 67:[12, 55], Operations: ['53-41=12', '8+47=55']
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
60,
47,
95,
1
] | 30 | [
"60*47=2820",
"95-1=94",
"2820/94=30"
] | Current State: 30:[60, 47, 95, 1], Operations: []
Exploring Operation: 60*47=2820, Resulting Numbers: [95, 1, 2820]
Generated Node #2: [95, 1, 2820] from Operation: 60*47=2820
Current State: 30:[95, 1, 2820], Operations: ['60*47=2820']
Exploring Operation: 95-1=94, Resulting Numbers: [2820, 94]
Generated Node #3: [2820, 94] from Operation: 95-1=94
Current State: 30:[2820, 94], Operations: ['60*47=2820', '95-1=94']
Exploring Operation: 2820/94=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
31,
56,
43,
39
] | 29 | [
"56-31=25",
"43-39=4",
"25+4=29"
] | Current State: 29:[31, 56, 43, 39], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [43, 39, 25]
Generated Node #2: [43, 39, 25] from Operation: 56-31=25
Current State: 29:[43, 39, 25], Operations: ['56-31=25']
Exploring Operation: 43-39=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 43-39=4
Current State: 29:[25, 4], Operations: ['56-31=25', '43-39=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
90,
88,
72,
25
] | 22 | [
"90-88=2",
"25*2=50",
"72-50=22"
] | Current State: 22:[90, 88, 72, 25], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [72, 25, 2]
Generated Node #2: [72, 25, 2] from Operation: 90-88=2
Current State: 22:[72, 25, 2], Operations: ['90-88=2']
Exploring Operation: 25*2=50, Resulting Numbers: [72, 50]
Generated Node #3: [72, 50] from Operation: 25*2=50
Current State: 22:[72, 50], Operations: ['90-88=2', '25*2=50']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
4,
18,
28
] | 58 | [
"44+4=48",
"28-18=10",
"48+10=58"
] | Current State: 58:[44, 4, 18, 28], Operations: []
Exploring Operation: 44+4=48, Resulting Numbers: [18, 28, 48]
Generated Node #2: [18, 28, 48] from Operation: 44+4=48
Current State: 58:[18, 28, 48], Operations: ['44+4=48']
Exploring Operation: 28-18=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 28-18=10
Current State: 58:[48, 10], Operations: ['44+4=48', '28-18=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
66,
95,
28
] | 32 | [
"25+66=91",
"95+28=123",
"123-91=32"
] | Current State: 32:[25, 66, 95, 28], Operations: []
Exploring Operation: 25+66=91, Resulting Numbers: [95, 28, 91]
Generated Node #2: [95, 28, 91] from Operation: 25+66=91
Current State: 32:[95, 28, 91], Operations: ['25+66=91']
Exploring Operation: 95+28=123, Resulting Numbers: [91, 123]
Generated Node #3: [91, 123] from Operation: 95+28=123
Current State: 32:[91, 123], Operations: ['25+66=91', '95+28=123']
Exploring Operation: 123-91=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
5,
80,
87,
43
] | 55 | [
"80-5=75",
"87+43=130",
"130-75=55"
] | Current State: 55:[5, 80, 87, 43], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [87, 43, 75]
Generated Node #2: [87, 43, 75] from Operation: 80-5=75
Current State: 55:[87, 43, 75], Operations: ['80-5=75']
Exploring Operation: 87+43=130, Resulting Numbers: [75, 130]
Generated Node #3: [75, 130] from Operation: 87+43=130
Current State: 55:[75, 130], Operations: ['80-5=75', '87+43=130']
Exploring Operation: 130-75=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
52,
44,
73,
19
] | 22 | [
"73-52=21",
"21-19=2",
"44/2=22"
] | Current State: 22:[52, 44, 73, 19], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [44, 19, 21]
Generated Node #2: [44, 19, 21] from Operation: 73-52=21
Current State: 22:[44, 19, 21], Operations: ['73-52=21']
Exploring Operation: 21-19=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 21-19=2
Current State: 22:[44, 2], Operations: ['73-52=21', '21-19=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
25,
24,
70,
10
] | 20 | [
"24-10=14",
"70/14=5",
"25-5=20"
] | Current State: 20:[25, 24, 70, 10], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [25, 70, 14]
Generated Node #2: [25, 70, 14] from Operation: 24-10=14
Current State: 20:[25, 70, 14], Operations: ['24-10=14']
Exploring Operation: 70/14=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 70/14=5
Current State: 20:[25, 5], Operations: ['24-10=14', '70/14=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
71,
55,
13,
32
] | 11 | [
"71-55=16",
"32/16=2",
"13-2=11"
] | Current State: 11:[71, 55, 13, 32], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [13, 32, 16]
Generated Node #2: [13, 32, 16] from Operation: 71-55=16
Current State: 11:[13, 32, 16], Operations: ['71-55=16']
Exploring Operation: 32/16=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 32/16=2
Current State: 11:[13, 2], Operations: ['71-55=16', '32/16=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
17,
34,
52,
13
] | 85 | [
"52-34=18",
"18-13=5",
"17*5=85"
] | Current State: 85:[17, 34, 52, 13], Operations: []
Exploring Operation: 52-34=18, Resulting Numbers: [17, 13, 18]
Generated Node #2: [17, 13, 18] from Operation: 52-34=18
Current State: 85:[17, 13, 18], Operations: ['52-34=18']
Exploring Operation: 18-13=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 18-13=5
Current State: 85:[17, 5], Operations: ['52-34=18', '18-13=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
77,
34,
45,
68
] | 64 | [
"77-45=32",
"68/34=2",
"32*2=64"
] | Current State: 64:[77, 34, 45, 68], Operations: []
Exploring Operation: 77-45=32, Resulting Numbers: [34, 68, 32]
Generated Node #2: [34, 68, 32] from Operation: 77-45=32
Current State: 64:[34, 68, 32], Operations: ['77-45=32']
Exploring Operation: 68/34=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 68/34=2
Current State: 64:[32, 2], Operations: ['77-45=32', '68/34=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
34,
91,
37,
40
] | 17 | [
"37-34=3",
"91-40=51",
"51/3=17"
] | Current State: 17:[34, 91, 37, 40], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [91, 40, 3]
Generated Node #2: [91, 40, 3] from Operation: 37-34=3
Current State: 17:[91, 40, 3], Operations: ['37-34=3']
Exploring Operation: 91-40=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 91-40=51
Current State: 17:[3, 51], Operations: ['37-34=3', '91-40=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
84,
44,
56
] | 69 | [
"84-53=31",
"44+56=100",
"100-31=69"
] | Current State: 69:[53, 84, 44, 56], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [44, 56, 31]
Generated Node #2: [44, 56, 31] from Operation: 84-53=31
Current State: 69:[44, 56, 31], Operations: ['84-53=31']
Exploring Operation: 44+56=100, Resulting Numbers: [31, 100]
Generated Node #3: [31, 100] from Operation: 44+56=100
Current State: 69:[31, 100], Operations: ['84-53=31', '44+56=100']
Exploring Operation: 100-31=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
63,
7,
9,
50
] | 76 | [
"63-50=13",
"7*9=63",
"13+63=76"
] | Current State: 76:[63, 7, 9, 50], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [7, 9, 13]
Generated Node #2: [7, 9, 13] from Operation: 63-50=13
Current State: 76:[7, 9, 13], Operations: ['63-50=13']
Exploring Operation: 7*9=63, Resulting Numbers: [13, 63]
Generated Node #3: [13, 63] from Operation: 7*9=63
Current State: 76:[13, 63], Operations: ['63-50=13', '7*9=63']
Exploring Operation: 13+63=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
86,
87,
65,
23
] | 87 | [
"87-86=1",
"65+23=88",
"88-1=87"
] | Current State: 87:[86, 87, 65, 23], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [65, 23, 1]
Generated Node #2: [65, 23, 1] from Operation: 87-86=1
Current State: 87:[65, 23, 1], Operations: ['87-86=1']
Exploring Operation: 65+23=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 65+23=88
Current State: 87:[1, 88], Operations: ['87-86=1', '65+23=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
8,
43,
52,
1
] | 86 | [
"43-8=35",
"52-1=51",
"35+51=86"
] | Current State: 86:[8, 43, 52, 1], Operations: []
Exploring Operation: 43-8=35, Resulting Numbers: [52, 1, 35]
Generated Node #2: [52, 1, 35] from Operation: 43-8=35
Current State: 86:[52, 1, 35], Operations: ['43-8=35']
Exploring Operation: 52-1=51, Resulting Numbers: [35, 51]
Generated Node #3: [35, 51] from Operation: 52-1=51
Current State: 86:[35, 51], Operations: ['43-8=35', '52-1=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
13,
93,
90,
78
] | 63 | [
"90-78=12",
"13*12=156",
"156-93=63"
] | Current State: 63:[13, 93, 90, 78], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [13, 93, 12]
Generated Node #2: [13, 93, 12] from Operation: 90-78=12
Current State: 63:[13, 93, 12], Operations: ['90-78=12']
Exploring Operation: 13*12=156, Resulting Numbers: [93, 156]
Generated Node #3: [93, 156] from Operation: 13*12=156
Current State: 63:[93, 156], Operations: ['90-78=12', '13*12=156']
Exploring Operation: 156-93=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
73,
52,
6,
88
] | 79 | [
"88-52=36",
"36/6=6",
"73+6=79"
] | Current State: 79:[73, 52, 6, 88], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [73, 6, 36]
Generated Node #2: [73, 6, 36] from Operation: 88-52=36
Current State: 79:[73, 6, 36], Operations: ['88-52=36']
Exploring Operation: 36/6=6, Resulting Numbers: [73, 6]
Generated Node #3: [73, 6] from Operation: 36/6=6
Current State: 79:[73, 6], Operations: ['88-52=36', '36/6=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
85,
27,
73,
91
] | 76 | [
"85-27=58",
"91-73=18",
"58+18=76"
] | Current State: 76:[85, 27, 73, 91], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [73, 91, 58]
Generated Node #2: [73, 91, 58] from Operation: 85-27=58
Current State: 76:[73, 91, 58], Operations: ['85-27=58']
Exploring Operation: 91-73=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 91-73=18
Current State: 76:[58, 18], Operations: ['85-27=58', '91-73=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
77,
64,
84,
26
] | 83 | [
"77+64=141",
"84-26=58",
"141-58=83"
] | Current State: 83:[77, 64, 84, 26], Operations: []
Exploring Operation: 77+64=141, Resulting Numbers: [84, 26, 141]
Generated Node #2: [84, 26, 141] from Operation: 77+64=141
Current State: 83:[84, 26, 141], Operations: ['77+64=141']
Exploring Operation: 84-26=58, Resulting Numbers: [141, 58]
Generated Node #3: [141, 58] from Operation: 84-26=58
Current State: 83:[141, 58], Operations: ['77+64=141', '84-26=58']
Exploring Operation: 141-58=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
57,
64,
6,
44
] | 45 | [
"64-57=7",
"44-6=38",
"7+38=45"
] | Current State: 45:[57, 64, 6, 44], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [6, 44, 7]
Generated Node #2: [6, 44, 7] from Operation: 64-57=7
Current State: 45:[6, 44, 7], Operations: ['64-57=7']
Exploring Operation: 44-6=38, Resulting Numbers: [7, 38]
Generated Node #3: [7, 38] from Operation: 44-6=38
Current State: 45:[7, 38], Operations: ['64-57=7', '44-6=38']
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
50,
23,
42,
87
] | 28 | [
"50+23=73",
"87-42=45",
"73-45=28"
] | Current State: 28:[50, 23, 42, 87], Operations: []
Exploring Operation: 50+23=73, Resulting Numbers: [42, 87, 73]
Generated Node #2: [42, 87, 73] from Operation: 50+23=73
Current State: 28:[42, 87, 73], Operations: ['50+23=73']
Exploring Operation: 87-42=45, Resulting Numbers: [73, 45]
Generated Node #3: [73, 45] from Operation: 87-42=45
Current State: 28:[73, 45], Operations: ['50+23=73', '87-42=45']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
60,
23,
26,
83
] | 94 | [
"60-23=37",
"83-26=57",
"37+57=94"
] | Current State: 94:[60, 23, 26, 83], Operations: []
Exploring Operation: 60-23=37, Resulting Numbers: [26, 83, 37]
Generated Node #2: [26, 83, 37] from Operation: 60-23=37
Current State: 94:[26, 83, 37], Operations: ['60-23=37']
Exploring Operation: 83-26=57, Resulting Numbers: [37, 57]
Generated Node #3: [37, 57] from Operation: 83-26=57
Current State: 94:[37, 57], Operations: ['60-23=37', '83-26=57']
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
21,
59,
39,
87
] | 87 | [
"59-21=38",
"39-38=1",
"87*1=87"
] | Current State: 87:[21, 59, 39, 87], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [39, 87, 38]
Generated Node #2: [39, 87, 38] from Operation: 59-21=38
Current State: 87:[39, 87, 38], Operations: ['59-21=38']
Exploring Operation: 39-38=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 39-38=1
Current State: 87:[87, 1], Operations: ['59-21=38', '39-38=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
75,
4,
50,
46
] | 67 | [
"75-4=71",
"50-46=4",
"71-4=67"
] | Current State: 67:[75, 4, 50, 46], Operations: []
Exploring Operation: 75-4=71, Resulting Numbers: [50, 46, 71]
Generated Node #2: [50, 46, 71] from Operation: 75-4=71
Current State: 67:[50, 46, 71], Operations: ['75-4=71']
Exploring Operation: 50-46=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 50-46=4
Current State: 67:[71, 4], Operations: ['75-4=71', '50-46=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
12,
33,
75,
90
] | 73 | [
"12+33=45",
"90/45=2",
"75-2=73"
] | Current State: 73:[12, 33, 75, 90], Operations: []
Exploring Operation: 12+33=45, Resulting Numbers: [75, 90, 45]
Generated Node #2: [75, 90, 45] from Operation: 12+33=45
Current State: 73:[75, 90, 45], Operations: ['12+33=45']
Exploring Operation: 90/45=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 90/45=2
Current State: 73:[75, 2], Operations: ['12+33=45', '90/45=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
55,
11,
7,
52
] | 98 | [
"55+11=66",
"66-52=14",
"7*14=98"
] | Current State: 98:[55, 11, 7, 52], Operations: []
Exploring Operation: 55+11=66, Resulting Numbers: [7, 52, 66]
Generated Node #2: [7, 52, 66] from Operation: 55+11=66
Current State: 98:[7, 52, 66], Operations: ['55+11=66']
Exploring Operation: 66-52=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 66-52=14
Current State: 98:[7, 14], Operations: ['55+11=66', '66-52=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
62,
9,
26
] | 52 | [
"62-55=7",
"9-7=2",
"26*2=52"
] | Current State: 52:[55, 62, 9, 26], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [9, 26, 7]
Generated Node #2: [9, 26, 7] from Operation: 62-55=7
Current State: 52:[9, 26, 7], Operations: ['62-55=7']
Exploring Operation: 9-7=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 9-7=2
Current State: 52:[26, 2], Operations: ['62-55=7', '9-7=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
32,
7,
96,
13
] | 27 | [
"96-32=64",
"7*13=91",
"91-64=27"
] | Current State: 27:[32, 7, 96, 13], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [7, 13, 64]
Generated Node #2: [7, 13, 64] from Operation: 96-32=64
Current State: 27:[7, 13, 64], Operations: ['96-32=64']
Exploring Operation: 7*13=91, Resulting Numbers: [64, 91]
Generated Node #3: [64, 91] from Operation: 7*13=91
Current State: 27:[64, 91], Operations: ['96-32=64', '7*13=91']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
69,
2,
96,
21
] | 32 | [
"2+21=23",
"69/23=3",
"96/3=32"
] | Current State: 32:[69, 2, 96, 21], Operations: []
Exploring Operation: 2+21=23, Resulting Numbers: [69, 96, 23]
Generated Node #2: [69, 96, 23] from Operation: 2+21=23
Current State: 32:[69, 96, 23], Operations: ['2+21=23']
Exploring Operation: 69/23=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 69/23=3
Current State: 32:[96, 3], Operations: ['2+21=23', '69/23=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
36,
37,
60,
26
] | 39 | [
"36+37=73",
"60-26=34",
"73-34=39"
] | Current State: 39:[36, 37, 60, 26], Operations: []
Exploring Operation: 36+37=73, Resulting Numbers: [60, 26, 73]
Generated Node #2: [60, 26, 73] from Operation: 36+37=73
Current State: 39:[60, 26, 73], Operations: ['36+37=73']
Exploring Operation: 60-26=34, Resulting Numbers: [73, 34]
Generated Node #3: [73, 34] from Operation: 60-26=34
Current State: 39:[73, 34], Operations: ['36+37=73', '60-26=34']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
20,
2,
77
] | 41 | [
"54-20=34",
"77-2=75",
"75-34=41"
] | Current State: 41:[54, 20, 2, 77], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [2, 77, 34]
Generated Node #2: [2, 77, 34] from Operation: 54-20=34
Current State: 41:[2, 77, 34], Operations: ['54-20=34']
Exploring Operation: 77-2=75, Resulting Numbers: [34, 75]
Generated Node #3: [34, 75] from Operation: 77-2=75
Current State: 41:[34, 75], Operations: ['54-20=34', '77-2=75']
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
90,
15,
90,
2
] | 93 | [
"90/15=6",
"6/2=3",
"90+3=93"
] | Current State: 93:[90, 15, 90, 2], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [2, 6]
Generated Node #2: [2, 6] from Operation: 90/15=6
Current State: 93:[2, 6], Operations: ['90/15=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,93 equal: Goal Reached
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
78,
33,
47,
12
] | 76 | [
"78+33=111",
"47-12=35",
"111-35=76"
] | Current State: 76:[78, 33, 47, 12], Operations: []
Exploring Operation: 78+33=111, Resulting Numbers: [47, 12, 111]
Generated Node #2: [47, 12, 111] from Operation: 78+33=111
Current State: 76:[47, 12, 111], Operations: ['78+33=111']
Exploring Operation: 47-12=35, Resulting Numbers: [111, 35]
Generated Node #3: [111, 35] from Operation: 47-12=35
Current State: 76:[111, 35], Operations: ['78+33=111', '47-12=35']
Exploring Operation: 111-35=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
62,
81,
7,
80
] | 53 | [
"81-62=19",
"7*19=133",
"133-80=53"
] | Current State: 53:[62, 81, 7, 80], Operations: []
Exploring Operation: 81-62=19, Resulting Numbers: [7, 80, 19]
Generated Node #2: [7, 80, 19] from Operation: 81-62=19
Current State: 53:[7, 80, 19], Operations: ['81-62=19']
Exploring Operation: 7*19=133, Resulting Numbers: [80, 133]
Generated Node #3: [80, 133] from Operation: 7*19=133
Current State: 53:[80, 133], Operations: ['81-62=19', '7*19=133']
Exploring Operation: 133-80=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
31,
90,
2,
30
] | 99 | [
"31+2=33",
"90/30=3",
"33*3=99"
] | Current State: 99:[31, 90, 2, 30], Operations: []
Exploring Operation: 31+2=33, Resulting Numbers: [90, 30, 33]
Generated Node #2: [90, 30, 33] from Operation: 31+2=33
Current State: 99:[90, 30, 33], Operations: ['31+2=33']
Exploring Operation: 90/30=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 90/30=3
Current State: 99:[33, 3], Operations: ['31+2=33', '90/30=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
49,
2,
28,
2
] | 77 | [
"49+2=51",
"28-2=26",
"51+26=77"
] | Current State: 77:[49, 2, 28, 2], Operations: []
Exploring Operation: 49+2=51, Resulting Numbers: [28, 51]
Generated Node #2: [28, 51] from Operation: 49+2=51
Current State: 77:[28, 51], Operations: ['49+2=51']
Exploring Operation: 28-2=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 28-2=26
Current State: 77:[51, 26], Operations: ['49+2=51', '28-2=26']
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
85,
2,
50,
96
] | 81 | [
"85+96=181",
"2*50=100",
"181-100=81"
] | Current State: 81:[85, 2, 50, 96], Operations: []
Exploring Operation: 85+96=181, Resulting Numbers: [2, 50, 181]
Generated Node #2: [2, 50, 181] from Operation: 85+96=181
Current State: 81:[2, 50, 181], Operations: ['85+96=181']
Exploring Operation: 2*50=100, Resulting Numbers: [181, 100]
Generated Node #3: [181, 100] from Operation: 2*50=100
Current State: 81:[181, 100], Operations: ['85+96=181', '2*50=100']
Exploring Operation: 181-100=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
71,
49,
52,
12
] | 80 | [
"71+49=120",
"52-12=40",
"120-40=80"
] | Current State: 80:[71, 49, 52, 12], Operations: []
Exploring Operation: 71+49=120, Resulting Numbers: [52, 12, 120]
Generated Node #2: [52, 12, 120] from Operation: 71+49=120
Current State: 80:[52, 12, 120], Operations: ['71+49=120']
Exploring Operation: 52-12=40, Resulting Numbers: [120, 40]
Generated Node #3: [120, 40] from Operation: 52-12=40
Current State: 80:[120, 40], Operations: ['71+49=120', '52-12=40']
Exploring Operation: 120-40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
84,
11,
82,
80
] | 38 | [
"84-80=4",
"11*4=44",
"82-44=38"
] | Current State: 38:[84, 11, 82, 80], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [11, 82, 4]
Generated Node #2: [11, 82, 4] from Operation: 84-80=4
Current State: 38:[11, 82, 4], Operations: ['84-80=4']
Exploring Operation: 11*4=44, Resulting Numbers: [82, 44]
Generated Node #3: [82, 44] from Operation: 11*4=44
Current State: 38:[82, 44], Operations: ['84-80=4', '11*4=44']
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
69,
9,
79
] | 16 | [
"69+9=78",
"79-78=1",
"16*1=16"
] | Current State: 16:[16, 69, 9, 79], Operations: []
Exploring Operation: 69+9=78, Resulting Numbers: [16, 79, 78]
Generated Node #2: [16, 79, 78] from Operation: 69+9=78
Current State: 16:[16, 79, 78], Operations: ['69+9=78']
Exploring Operation: 79-78=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 79-78=1
Current State: 16:[16, 1], Operations: ['69+9=78', '79-78=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
16,
18,
94,
5
] | 88 | [
"94+5=99",
"16*99=1584",
"1584/18=88"
] | Current State: 88:[16, 18, 94, 5], Operations: []
Exploring Operation: 94+5=99, Resulting Numbers: [16, 18, 99]
Generated Node #2: [16, 18, 99] from Operation: 94+5=99
Current State: 88:[16, 18, 99], Operations: ['94+5=99']
Exploring Operation: 16*99=1584, Resulting Numbers: [18, 1584]
Generated Node #3: [18, 1584] from Operation: 16*99=1584
Current State: 88:[18, 1584], Operations: ['94+5=99', '16*99=1584']
Exploring Operation: 1584/18=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
82,
88,
46,
88
] | 95 | [
"88*88=7744",
"46+7744=7790",
"7790/82=95"
] | Current State: 95:[82, 88, 46, 88], Operations: []
Exploring Operation: 88*88=7744, Resulting Numbers: [82, 46, 7744]
Generated Node #2: [82, 46, 7744] from Operation: 88*88=7744
Current State: 95:[82, 46, 7744], Operations: ['88*88=7744']
Exploring Operation: 46+7744=7790, Resulting Numbers: [82, 7790]
Generated Node #3: [82, 7790] from Operation: 46+7744=7790
Current State: 95:[82, 7790], Operations: ['88*88=7744', '46+7744=7790']
Exploring Operation: 7790/82=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
33,
48,
6
] | 35 | [
"52-33=19",
"48+6=54",
"54-19=35"
] | Current State: 35:[52, 33, 48, 6], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [48, 6, 19]
Generated Node #2: [48, 6, 19] from Operation: 52-33=19
Current State: 35:[48, 6, 19], Operations: ['52-33=19']
Exploring Operation: 48+6=54, Resulting Numbers: [19, 54]
Generated Node #3: [19, 54] from Operation: 48+6=54
Current State: 35:[19, 54], Operations: ['52-33=19', '48+6=54']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
54,
12,
12,
11
] | 89 | [
"54+12=66",
"12+11=23",
"66+23=89"
] | Current State: 89:[54, 12, 12, 11], Operations: []
Exploring Operation: 54+12=66, Resulting Numbers: [11, 66]
Generated Node #2: [11, 66] from Operation: 54+12=66
Current State: 89:[11, 66], Operations: ['54+12=66']
Exploring Operation: 12+11=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 12+11=23
Current State: 89:[66, 23], Operations: ['54+12=66', '12+11=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
89,
97,
40,
37
] | 32 | [
"97-89=8",
"40/8=5",
"37-5=32"
] | Current State: 32:[89, 97, 40, 37], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [40, 37, 8]
Generated Node #2: [40, 37, 8] from Operation: 97-89=8
Current State: 32:[40, 37, 8], Operations: ['97-89=8']
Exploring Operation: 40/8=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 40/8=5
Current State: 32:[37, 5], Operations: ['97-89=8', '40/8=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
5,
37,
49,
3
] | 96 | [
"5+3=8",
"49-37=12",
"8*12=96"
] | Current State: 96:[5, 37, 49, 3], Operations: []
Exploring Operation: 5+3=8, Resulting Numbers: [37, 49, 8]
Generated Node #2: [37, 49, 8] from Operation: 5+3=8
Current State: 96:[37, 49, 8], Operations: ['5+3=8']
Exploring Operation: 49-37=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 49-37=12
Current State: 96:[8, 12], Operations: ['5+3=8', '49-37=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
7,
4,
23,
40
] | 44 | [
"23-7=16",
"16/4=4",
"40+4=44"
] | Current State: 44:[7, 4, 23, 40], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [4, 40, 16]
Generated Node #2: [4, 40, 16] from Operation: 23-7=16
Current State: 44:[4, 40, 16], Operations: ['23-7=16']
Exploring Operation: 16/4=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 16/4=4
Current State: 44:[40, 4], Operations: ['23-7=16', '16/4=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
55,
18,
63,
9
] | 51 | [
"63+9=72",
"72/18=4",
"55-4=51"
] | Current State: 51:[55, 18, 63, 9], Operations: []
Exploring Operation: 63+9=72, Resulting Numbers: [55, 18, 72]
Generated Node #2: [55, 18, 72] from Operation: 63+9=72
Current State: 51:[55, 18, 72], Operations: ['63+9=72']
Exploring Operation: 72/18=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 72/18=4
Current State: 51:[55, 4], Operations: ['63+9=72', '72/18=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
69,
56,
68,
60
] | 64 | [
"68-56=12",
"60/12=5",
"69-5=64"
] | Current State: 64:[69, 56, 68, 60], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [69, 60, 12]
Generated Node #2: [69, 60, 12] from Operation: 68-56=12
Current State: 64:[69, 60, 12], Operations: ['68-56=12']
Exploring Operation: 60/12=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 60/12=5
Current State: 64:[69, 5], Operations: ['68-56=12', '60/12=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
29,
83,
66,
44
] | 81 | [
"83-29=54",
"66*54=3564",
"3564/44=81"
] | Current State: 81:[29, 83, 66, 44], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [66, 44, 54]
Generated Node #2: [66, 44, 54] from Operation: 83-29=54
Current State: 81:[66, 44, 54], Operations: ['83-29=54']
Exploring Operation: 66*54=3564, Resulting Numbers: [44, 3564]
Generated Node #3: [44, 3564] from Operation: 66*54=3564
Current State: 81:[44, 3564], Operations: ['83-29=54', '66*54=3564']
Exploring Operation: 3564/44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
83,
4,
19,
32
] | 66 | [
"83-4=79",
"32-19=13",
"79-13=66"
] | Current State: 66:[83, 4, 19, 32], Operations: []
Exploring Operation: 83-4=79, Resulting Numbers: [19, 32, 79]
Generated Node #2: [19, 32, 79] from Operation: 83-4=79
Current State: 66:[19, 32, 79], Operations: ['83-4=79']
Exploring Operation: 32-19=13, Resulting Numbers: [79, 13]
Generated Node #3: [79, 13] from Operation: 32-19=13
Current State: 66:[79, 13], Operations: ['83-4=79', '32-19=13']
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
83,
98,
93,
33
] | 55 | [
"83+98=181",
"93+33=126",
"181-126=55"
] | Current State: 55:[83, 98, 93, 33], Operations: []
Exploring Operation: 83+98=181, Resulting Numbers: [93, 33, 181]
Generated Node #2: [93, 33, 181] from Operation: 83+98=181
Current State: 55:[93, 33, 181], Operations: ['83+98=181']
Exploring Operation: 93+33=126, Resulting Numbers: [181, 126]
Generated Node #3: [181, 126] from Operation: 93+33=126
Current State: 55:[181, 126], Operations: ['83+98=181', '93+33=126']
Exploring Operation: 181-126=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
60,
10,
44,
20
] | 36 | [
"60+20=80",
"80/10=8",
"44-8=36"
] | Current State: 36:[60, 10, 44, 20], Operations: []
Exploring Operation: 60+20=80, Resulting Numbers: [10, 44, 80]
Generated Node #2: [10, 44, 80] from Operation: 60+20=80
Current State: 36:[10, 44, 80], Operations: ['60+20=80']
Exploring Operation: 80/10=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 80/10=8
Current State: 36:[44, 8], Operations: ['60+20=80', '80/10=8']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
91,
88,
3,
65
] | 22 | [
"88-65=23",
"3*23=69",
"91-69=22"
] | Current State: 22:[91, 88, 3, 65], Operations: []
Exploring Operation: 88-65=23, Resulting Numbers: [91, 3, 23]
Generated Node #2: [91, 3, 23] from Operation: 88-65=23
Current State: 22:[91, 3, 23], Operations: ['88-65=23']
Exploring Operation: 3*23=69, Resulting Numbers: [91, 69]
Generated Node #3: [91, 69] from Operation: 3*23=69
Current State: 22:[91, 69], Operations: ['88-65=23', '3*23=69']
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
37,
56,
16,
21
] | 95 | [
"56-37=19",
"21-16=5",
"19*5=95"
] | Current State: 95:[37, 56, 16, 21], Operations: []
Exploring Operation: 56-37=19, Resulting Numbers: [16, 21, 19]
Generated Node #2: [16, 21, 19] from Operation: 56-37=19
Current State: 95:[16, 21, 19], Operations: ['56-37=19']
Exploring Operation: 21-16=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 21-16=5
Current State: 95:[19, 5], Operations: ['56-37=19', '21-16=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
36,
99,
57,
9
] | 10 | [
"57-36=21",
"99/9=11",
"21-11=10"
] | Current State: 10:[36, 99, 57, 9], Operations: []
Exploring Operation: 57-36=21, Resulting Numbers: [99, 9, 21]
Generated Node #2: [99, 9, 21] from Operation: 57-36=21
Current State: 10:[99, 9, 21], Operations: ['57-36=21']
Exploring Operation: 99/9=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 99/9=11
Current State: 10:[21, 11], Operations: ['57-36=21', '99/9=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
10,
87,
11
] | 95 | [
"87-72=15",
"10*11=110",
"110-15=95"
] | Current State: 95:[72, 10, 87, 11], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [10, 11, 15]
Generated Node #2: [10, 11, 15] from Operation: 87-72=15
Current State: 95:[10, 11, 15], Operations: ['87-72=15']
Exploring Operation: 10*11=110, Resulting Numbers: [15, 110]
Generated Node #3: [15, 110] from Operation: 10*11=110
Current State: 95:[15, 110], Operations: ['87-72=15', '10*11=110']
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
81,
81,
34,
25
] | 90 | [
"34-25=9",
"81/9=9",
"81+9=90"
] | Current State: 90:[81, 81, 34, 25], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [81, 81, 9]
Generated Node #2: [81, 81, 9] from Operation: 34-25=9
Current State: 90:[81, 81, 9], Operations: ['34-25=9']
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,90 equal: Goal Reached
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
44,
7,
58,
93
] | 86 | [
"44+7=51",
"93-58=35",
"51+35=86"
] | Current State: 86:[44, 7, 58, 93], Operations: []
Exploring Operation: 44+7=51, Resulting Numbers: [58, 93, 51]
Generated Node #2: [58, 93, 51] from Operation: 44+7=51
Current State: 86:[58, 93, 51], Operations: ['44+7=51']
Exploring Operation: 93-58=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 93-58=35
Current State: 86:[51, 35], Operations: ['44+7=51', '93-58=35']
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
53,
34,
4,
49
] | 33 | [
"53-4=49",
"49/49=1",
"34-1=33"
] | Current State: 33:[53, 34, 4, 49], Operations: []
Exploring Operation: 53-4=49, Resulting Numbers: [34, 49, 49]
Generated Node #2: [34, 49, 49] from Operation: 53-4=49
Current State: 33:[34, 49, 49], Operations: ['53-4=49']
Exploring Operation: 49/49=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 49/49=1
Current State: 33:[34, 1], Operations: ['53-4=49', '49/49=1']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
84,
69,
9,
99
] | 66 | [
"99-84=15",
"9*15=135",
"135-69=66"
] | Current State: 66:[84, 69, 9, 99], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [69, 9, 15]
Generated Node #2: [69, 9, 15] from Operation: 99-84=15
Current State: 66:[69, 9, 15], Operations: ['99-84=15']
Exploring Operation: 9*15=135, Resulting Numbers: [69, 135]
Generated Node #3: [69, 135] from Operation: 9*15=135
Current State: 66:[69, 135], Operations: ['99-84=15', '9*15=135']
Exploring Operation: 135-69=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
10,
62,
15,
15
] | 62 | [
"15-15=0",
"10*0=0",
"62+0=62"
] | Current State: 62:[10, 62, 15, 15], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [10, 62, 0]
Generated Node #2: [10, 62, 0] from Operation: 15-15=0
Current State: 62:[10, 62, 0], Operations: ['15-15=0']
Exploring Operation: 10*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 10*0=0
Current State: 62:[62, 0], Operations: ['15-15=0', '10*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
80,
91,
85,
63
] | 86 | [
"80-63=17",
"85/17=5",
"91-5=86"
] | Current State: 86:[80, 91, 85, 63], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [91, 85, 17]
Generated Node #2: [91, 85, 17] from Operation: 80-63=17
Current State: 86:[91, 85, 17], Operations: ['80-63=17']
Exploring Operation: 85/17=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 85/17=5
Current State: 86:[91, 5], Operations: ['80-63=17', '85/17=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
53,
7,
64,
61
] | 64 | [
"53+7=60",
"61-60=1",
"64*1=64"
] | Current State: 64:[53, 7, 64, 61], Operations: []
Exploring Operation: 53+7=60, Resulting Numbers: [64, 61, 60]
Generated Node #2: [64, 61, 60] from Operation: 53+7=60
Current State: 64:[64, 61, 60], Operations: ['53+7=60']
Exploring Operation: 61-60=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 61-60=1
Current State: 64:[64, 1], Operations: ['53+7=60', '61-60=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
14,
32,
2
] | 33 | [
"77-14=63",
"32-2=30",
"63-30=33"
] | Current State: 33:[77, 14, 32, 2], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [32, 2, 63]
Generated Node #2: [32, 2, 63] from Operation: 77-14=63
Current State: 33:[32, 2, 63], Operations: ['77-14=63']
Exploring Operation: 32-2=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 32-2=30
Current State: 33:[63, 30], Operations: ['77-14=63', '32-2=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
15,
26,
73,
83
] | 51 | [
"15+26=41",
"83-73=10",
"41+10=51"
] | Current State: 51:[15, 26, 73, 83], Operations: []
Exploring Operation: 15+26=41, Resulting Numbers: [73, 83, 41]
Generated Node #2: [73, 83, 41] from Operation: 15+26=41
Current State: 51:[73, 83, 41], Operations: ['15+26=41']
Exploring Operation: 83-73=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 83-73=10
Current State: 51:[41, 10], Operations: ['15+26=41', '83-73=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
74,
20,
1,
91
] | 38 | [
"74-20=54",
"1+91=92",
"92-54=38"
] | Current State: 38:[74, 20, 1, 91], Operations: []
Exploring Operation: 74-20=54, Resulting Numbers: [1, 91, 54]
Generated Node #2: [1, 91, 54] from Operation: 74-20=54
Current State: 38:[1, 91, 54], Operations: ['74-20=54']
Exploring Operation: 1+91=92, Resulting Numbers: [54, 92]
Generated Node #3: [54, 92] from Operation: 1+91=92
Current State: 38:[54, 92], Operations: ['74-20=54', '1+91=92']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
74,
4,
19,
48
] | 49 | [
"74+4=78",
"48-19=29",
"78-29=49"
] | Current State: 49:[74, 4, 19, 48], Operations: []
Exploring Operation: 74+4=78, Resulting Numbers: [19, 48, 78]
Generated Node #2: [19, 48, 78] from Operation: 74+4=78
Current State: 49:[19, 48, 78], Operations: ['74+4=78']
Exploring Operation: 48-19=29, Resulting Numbers: [78, 29]
Generated Node #3: [78, 29] from Operation: 48-19=29
Current State: 49:[78, 29], Operations: ['74+4=78', '48-19=29']
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
16,
87,
20,
6
] | 85 | [
"87-16=71",
"20-6=14",
"71+14=85"
] | Current State: 85:[16, 87, 20, 6], Operations: []
Exploring Operation: 87-16=71, Resulting Numbers: [20, 6, 71]
Generated Node #2: [20, 6, 71] from Operation: 87-16=71
Current State: 85:[20, 6, 71], Operations: ['87-16=71']
Exploring Operation: 20-6=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 20-6=14
Current State: 85:[71, 14], Operations: ['87-16=71', '20-6=14']
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
28,
48,
82,
68
] | 30 | [
"82-48=34",
"68/34=2",
"28+2=30"
] | Current State: 30:[28, 48, 82, 68], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [28, 68, 34]
Generated Node #2: [28, 68, 34] from Operation: 82-48=34
Current State: 30:[28, 68, 34], Operations: ['82-48=34']
Exploring Operation: 68/34=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 68/34=2
Current State: 30:[28, 2], Operations: ['82-48=34', '68/34=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
86,
72,
86,
33
] | 72 | [
"86-86=0",
"33*0=0",
"72+0=72"
] | Current State: 72:[86, 72, 86, 33], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [72, 33, 0]
Generated Node #2: [72, 33, 0] from Operation: 86-86=0
Current State: 72:[72, 33, 0], Operations: ['86-86=0']
Exploring Operation: 33*0=0, Resulting Numbers: [72, 0]
Generated Node #3: [72, 0] from Operation: 33*0=0
Current State: 72:[72, 0], Operations: ['86-86=0', '33*0=0']
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
73,
71,
98,
12
] | 34 | [
"73+71=144",
"98+12=110",
"144-110=34"
] | Current State: 34:[73, 71, 98, 12], Operations: []
Exploring Operation: 73+71=144, Resulting Numbers: [98, 12, 144]
Generated Node #2: [98, 12, 144] from Operation: 73+71=144
Current State: 34:[98, 12, 144], Operations: ['73+71=144']
Exploring Operation: 98+12=110, Resulting Numbers: [144, 110]
Generated Node #3: [144, 110] from Operation: 98+12=110
Current State: 34:[144, 110], Operations: ['73+71=144', '98+12=110']
Exploring Operation: 144-110=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
44,
20,
19,
8
] | 28 | [
"44*8=352",
"20*19=380",
"380-352=28"
] | Current State: 28:[44, 20, 19, 8], Operations: []
Exploring Operation: 44*8=352, Resulting Numbers: [20, 19, 352]
Generated Node #2: [20, 19, 352] from Operation: 44*8=352
Current State: 28:[20, 19, 352], Operations: ['44*8=352']
Exploring Operation: 20*19=380, Resulting Numbers: [352, 380]
Generated Node #3: [352, 380] from Operation: 20*19=380
Current State: 28:[352, 380], Operations: ['44*8=352', '20*19=380']
Exploring Operation: 380-352=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
90,
30,
53,
80
] | 100 | [
"90*30=2700",
"80-53=27",
"2700/27=100"
] | Current State: 100:[90, 30, 53, 80], Operations: []
Exploring Operation: 90*30=2700, Resulting Numbers: [53, 80, 2700]
Generated Node #2: [53, 80, 2700] from Operation: 90*30=2700
Current State: 100:[53, 80, 2700], Operations: ['90*30=2700']
Exploring Operation: 80-53=27, Resulting Numbers: [2700, 27]
Generated Node #3: [2700, 27] from Operation: 80-53=27
Current State: 100:[2700, 27], Operations: ['90*30=2700', '80-53=27']
Exploring Operation: 2700/27=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
86,
10,
61,
22
] | 55 | [
"86-61=25",
"22*25=550",
"550/10=55"
] | Current State: 55:[86, 10, 61, 22], Operations: []
Exploring Operation: 86-61=25, Resulting Numbers: [10, 22, 25]
Generated Node #2: [10, 22, 25] from Operation: 86-61=25
Current State: 55:[10, 22, 25], Operations: ['86-61=25']
Exploring Operation: 22*25=550, Resulting Numbers: [10, 550]
Generated Node #3: [10, 550] from Operation: 22*25=550
Current State: 55:[10, 550], Operations: ['86-61=25', '22*25=550']
Exploring Operation: 550/10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
90,
42,
31
] | 84 | [
"5+90=95",
"42-31=11",
"95-11=84"
] | Current State: 84:[5, 90, 42, 31], Operations: []
Exploring Operation: 5+90=95, Resulting Numbers: [42, 31, 95]
Generated Node #2: [42, 31, 95] from Operation: 5+90=95
Current State: 84:[42, 31, 95], Operations: ['5+90=95']
Exploring Operation: 42-31=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 42-31=11
Current State: 84:[95, 11], Operations: ['5+90=95', '42-31=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
7,
47,
16
] | 49 | [
"47+16=63",
"63/7=9",
"58-9=49"
] | Current State: 49:[58, 7, 47, 16], Operations: []
Exploring Operation: 47+16=63, Resulting Numbers: [58, 7, 63]
Generated Node #2: [58, 7, 63] from Operation: 47+16=63
Current State: 49:[58, 7, 63], Operations: ['47+16=63']
Exploring Operation: 63/7=9, Resulting Numbers: [58, 9]
Generated Node #3: [58, 9] from Operation: 63/7=9
Current State: 49:[58, 9], Operations: ['47+16=63', '63/7=9']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
28,
16,
39,
31
] | 87 | [
"31-28=3",
"16*3=48",
"39+48=87"
] | Current State: 87:[28, 16, 39, 31], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [16, 39, 3]
Generated Node #2: [16, 39, 3] from Operation: 31-28=3
Current State: 87:[16, 39, 3], Operations: ['31-28=3']
Exploring Operation: 16*3=48, Resulting Numbers: [39, 48]
Generated Node #3: [39, 48] from Operation: 16*3=48
Current State: 87:[39, 48], Operations: ['31-28=3', '16*3=48']
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
18,
54,
21,
36
] | 23 | [
"18+54=72",
"72/36=2",
"21+2=23"
] | Current State: 23:[18, 54, 21, 36], Operations: []
Exploring Operation: 18+54=72, Resulting Numbers: [21, 36, 72]
Generated Node #2: [21, 36, 72] from Operation: 18+54=72
Current State: 23:[21, 36, 72], Operations: ['18+54=72']
Exploring Operation: 72/36=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 72/36=2
Current State: 23:[21, 2], Operations: ['18+54=72', '72/36=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
73,
75,
68,
58
] | 63 | [
"75-73=2",
"68+58=126",
"126/2=63"
] | Current State: 63:[73, 75, 68, 58], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [68, 58, 2]
Generated Node #2: [68, 58, 2] from Operation: 75-73=2
Current State: 63:[68, 58, 2], Operations: ['75-73=2']
Exploring Operation: 68+58=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 68+58=126
Current State: 63:[2, 126], Operations: ['75-73=2', '68+58=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
66,
27,
49,
66
] | 22 | [
"66+27=93",
"49+66=115",
"115-93=22"
] | Current State: 22:[66, 27, 49, 66], Operations: []
Exploring Operation: 66+27=93, Resulting Numbers: [49, 93]
Generated Node #2: [49, 93] from Operation: 66+27=93
Current State: 22:[49, 93], Operations: ['66+27=93']
Exploring Operation: 49+66=115, Resulting Numbers: [93, 115]
Generated Node #3: [93, 115] from Operation: 49+66=115
Current State: 22:[93, 115], Operations: ['66+27=93', '49+66=115']
Exploring Operation: 115-93=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
57,
19,
45,
4
] | 73 | [
"19+45=64",
"64/4=16",
"57+16=73"
] | Current State: 73:[57, 19, 45, 4], Operations: []
Exploring Operation: 19+45=64, Resulting Numbers: [57, 4, 64]
Generated Node #2: [57, 4, 64] from Operation: 19+45=64
Current State: 73:[57, 4, 64], Operations: ['19+45=64']
Exploring Operation: 64/4=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 64/4=16
Current State: 73:[57, 16], Operations: ['19+45=64', '64/4=16']
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
55,
51,
78,
54
] | 26 | [
"55+51=106",
"78+54=132",
"132-106=26"
] | Current State: 26:[55, 51, 78, 54], Operations: []
Exploring Operation: 55+51=106, Resulting Numbers: [78, 54, 106]
Generated Node #2: [78, 54, 106] from Operation: 55+51=106
Current State: 26:[78, 54, 106], Operations: ['55+51=106']
Exploring Operation: 78+54=132, Resulting Numbers: [106, 132]
Generated Node #3: [106, 132] from Operation: 78+54=132
Current State: 26:[106, 132], Operations: ['55+51=106', '78+54=132']
Exploring Operation: 132-106=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
17,
28,
1,
29
] | 73 | [
"17+28=45",
"29-1=28",
"45+28=73"
] | Current State: 73:[17, 28, 1, 29], Operations: []
Exploring Operation: 17+28=45, Resulting Numbers: [1, 29, 45]
Generated Node #2: [1, 29, 45] from Operation: 17+28=45
Current State: 73:[1, 29, 45], Operations: ['17+28=45']
Exploring Operation: 29-1=28, Resulting Numbers: [45, 28]
Generated Node #3: [45, 28] from Operation: 29-1=28
Current State: 73:[45, 28], Operations: ['17+28=45', '29-1=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
21,
71,
50,
50
] | 91 | [
"21+71=92",
"50/50=1",
"92-1=91"
] | Current State: 91:[21, 71, 50, 50], Operations: []
Exploring Operation: 21+71=92, Resulting Numbers: [50, 50, 92]
Generated Node #2: [50, 50, 92] from Operation: 21+71=92
Current State: 91:[50, 50, 92], Operations: ['21+71=92']
Exploring Operation: 50/50=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 50/50=1
Current State: 91:[92, 1], Operations: ['21+71=92', '50/50=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
3,
37,
18,
15
] | 73 | [
"3+37=40",
"18+15=33",
"40+33=73"
] | Current State: 73:[3, 37, 18, 15], Operations: []
Exploring Operation: 3+37=40, Resulting Numbers: [18, 15, 40]
Generated Node #2: [18, 15, 40] from Operation: 3+37=40
Current State: 73:[18, 15, 40], Operations: ['3+37=40']
Exploring Operation: 18+15=33, Resulting Numbers: [40, 33]
Generated Node #3: [40, 33] from Operation: 18+15=33
Current State: 73:[40, 33], Operations: ['3+37=40', '18+15=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
55,
55,
13,
23
] | 35 | [
"55/55=1",
"13+23=36",
"36-1=35"
] | Current State: 35:[55, 55, 13, 23], Operations: []
Exploring Operation: 55/55=1, Resulting Numbers: [13, 23, 1]
Generated Node #2: [13, 23, 1] from Operation: 55/55=1
Current State: 35:[13, 23, 1], Operations: ['55/55=1']
Exploring Operation: 13+23=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 13+23=36
Current State: 35:[1, 36], Operations: ['55/55=1', '13+23=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
38,
29,
23,
16
] | 14 | [
"23*16=368",
"38+368=406",
"406/29=14"
] | Current State: 14:[38, 29, 23, 16], Operations: []
Exploring Operation: 23*16=368, Resulting Numbers: [38, 29, 368]
Generated Node #2: [38, 29, 368] from Operation: 23*16=368
Current State: 14:[38, 29, 368], Operations: ['23*16=368']
Exploring Operation: 38+368=406, Resulting Numbers: [29, 406]
Generated Node #3: [29, 406] from Operation: 38+368=406
Current State: 14:[29, 406], Operations: ['23*16=368', '38+368=406']
Exploring Operation: 406/29=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
22,
76,
44,
65
] | 13 | [
"44/22=2",
"76-65=11",
"2+11=13"
] | Current State: 13:[22, 76, 44, 65], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [76, 65, 2]
Generated Node #2: [76, 65, 2] from Operation: 44/22=2
Current State: 13:[76, 65, 2], Operations: ['44/22=2']
Exploring Operation: 76-65=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 76-65=11
Current State: 13:[2, 11], Operations: ['44/22=2', '76-65=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
47,
24,
65,
35
] | 63 | [
"47-35=12",
"24/12=2",
"65-2=63"
] | Current State: 63:[47, 24, 65, 35], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [24, 65, 12]
Generated Node #2: [24, 65, 12] from Operation: 47-35=12
Current State: 63:[24, 65, 12], Operations: ['47-35=12']
Exploring Operation: 24/12=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 24/12=2
Current State: 63:[65, 2], Operations: ['47-35=12', '24/12=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
20,
64,
29,
91
] | 36 | [
"20+64=84",
"29+91=120",
"120-84=36"
] | Current State: 36:[20, 64, 29, 91], Operations: []
Exploring Operation: 20+64=84, Resulting Numbers: [29, 91, 84]
Generated Node #2: [29, 91, 84] from Operation: 20+64=84
Current State: 36:[29, 91, 84], Operations: ['20+64=84']
Exploring Operation: 29+91=120, Resulting Numbers: [84, 120]
Generated Node #3: [84, 120] from Operation: 29+91=120
Current State: 36:[84, 120], Operations: ['20+64=84', '29+91=120']
Exploring Operation: 120-84=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
4,
78,
65,
5
] | 32 | [
"78-65=13",
"13-5=8",
"4*8=32"
] | Current State: 32:[4, 78, 65, 5], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [4, 5, 13]
Generated Node #2: [4, 5, 13] from Operation: 78-65=13
Current State: 32:[4, 5, 13], Operations: ['78-65=13']
Exploring Operation: 13-5=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 13-5=8
Current State: 32:[4, 8], Operations: ['78-65=13', '13-5=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
72,
37,
32,
88
] | 53 | [
"72+37=109",
"88-32=56",
"109-56=53"
] | Current State: 53:[72, 37, 32, 88], Operations: []
Exploring Operation: 72+37=109, Resulting Numbers: [32, 88, 109]
Generated Node #2: [32, 88, 109] from Operation: 72+37=109
Current State: 53:[32, 88, 109], Operations: ['72+37=109']
Exploring Operation: 88-32=56, Resulting Numbers: [109, 56]
Generated Node #3: [109, 56] from Operation: 88-32=56
Current State: 53:[109, 56], Operations: ['72+37=109', '88-32=56']
Exploring Operation: 109-56=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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