nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
75,
89,
3,
74
] | 93 | [
"75+89=164",
"74-3=71",
"164-71=93"
] | Current State: 93:[75, 89, 3, 74], Operations: []
Exploring Operation: 75+89=164, Resulting Numbers: [3, 74, 164]
Generated Node #2: [3, 74, 164] from Operation: 75+89=164
Current State: 93:[3, 74, 164], Operations: ['75+89=164']
Exploring Operation: 74-3=71, Resulting Numbers: [164, 71]
Generated Node #3: [164, 71] from Operation: 74-3=71
Current State: 93:[164, 71], Operations: ['75+89=164', '74-3=71']
Exploring Operation: 164-71=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
50,
61,
73,
42
] | 16 | [
"50*61=3050",
"73*42=3066",
"3066-3050=16"
] | Current State: 16:[50, 61, 73, 42], Operations: []
Exploring Operation: 50*61=3050, Resulting Numbers: [73, 42, 3050]
Generated Node #2: [73, 42, 3050] from Operation: 50*61=3050
Current State: 16:[73, 42, 3050], Operations: ['50*61=3050']
Exploring Operation: 73*42=3066, Resulting Numbers: [3050, 3066]
Generated Node #3: [3050, 3066] from Operation: 73*42=3066
Current State: 16:[3050, 3066], Operations: ['50*61=3050', '73*42=3066']
Exploring Operation: 3066-3050=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
14,
28,
43,
62
] | 38 | [
"28/14=2",
"62-43=19",
"2*19=38"
] | Current State: 38:[14, 28, 43, 62], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [43, 62, 2]
Generated Node #2: [43, 62, 2] from Operation: 28/14=2
Current State: 38:[43, 62, 2], Operations: ['28/14=2']
Exploring Operation: 62-43=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 62-43=19
Current State: 38:[2, 19], Operations: ['28/14=2', '62-43=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
80,
36,
42
] | 31 | [
"80-36=44",
"44/4=11",
"42-11=31"
] | Current State: 31:[4, 80, 36, 42], Operations: []
Exploring Operation: 80-36=44, Resulting Numbers: [4, 42, 44]
Generated Node #2: [4, 42, 44] from Operation: 80-36=44
Current State: 31:[4, 42, 44], Operations: ['80-36=44']
Exploring Operation: 44/4=11, Resulting Numbers: [42, 11]
Generated Node #3: [42, 11] from Operation: 44/4=11
Current State: 31:[42, 11], Operations: ['80-36=44', '44/4=11']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
56,
48,
80,
14
] | 36 | [
"56/14=4",
"80-48=32",
"4+32=36"
] | Current State: 36:[56, 48, 80, 14], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [48, 80, 4]
Generated Node #2: [48, 80, 4] from Operation: 56/14=4
Current State: 36:[48, 80, 4], Operations: ['56/14=4']
Exploring Operation: 80-48=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 80-48=32
Current State: 36:[4, 32], Operations: ['56/14=4', '80-48=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
32,
61,
8
] | 37 | [
"32-16=16",
"61-8=53",
"53-16=37"
] | Current State: 37:[16, 32, 61, 8], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [61, 8, 16]
Generated Node #2: [61, 8, 16] from Operation: 32-16=16
Current State: 37:[61, 8, 16], Operations: ['32-16=16']
Exploring Operation: 61-8=53, Resulting Numbers: [16, 53]
Generated Node #3: [16, 53] from Operation: 61-8=53
Current State: 37:[16, 53], Operations: ['32-16=16', '61-8=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
95,
42,
90
] | 14 | [
"51+95=146",
"42+90=132",
"146-132=14"
] | Current State: 14:[51, 95, 42, 90], Operations: []
Exploring Operation: 51+95=146, Resulting Numbers: [42, 90, 146]
Generated Node #2: [42, 90, 146] from Operation: 51+95=146
Current State: 14:[42, 90, 146], Operations: ['51+95=146']
Exploring Operation: 42+90=132, Resulting Numbers: [146, 132]
Generated Node #3: [146, 132] from Operation: 42+90=132
Current State: 14:[146, 132], Operations: ['51+95=146', '42+90=132']
Exploring Operation: 146-132=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
22,
17,
74,
38
] | 75 | [
"22+17=39",
"74-38=36",
"39+36=75"
] | Current State: 75:[22, 17, 74, 38], Operations: []
Exploring Operation: 22+17=39, Resulting Numbers: [74, 38, 39]
Generated Node #2: [74, 38, 39] from Operation: 22+17=39
Current State: 75:[74, 38, 39], Operations: ['22+17=39']
Exploring Operation: 74-38=36, Resulting Numbers: [39, 36]
Generated Node #3: [39, 36] from Operation: 74-38=36
Current State: 75:[39, 36], Operations: ['22+17=39', '74-38=36']
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
60,
14,
16,
15
] | 74 | [
"60+14=74",
"16-15=1",
"74*1=74"
] | Current State: 74:[60, 14, 16, 15], Operations: []
Exploring Operation: 60+14=74, Resulting Numbers: [16, 15, 74]
Generated Node #2: [16, 15, 74] from Operation: 60+14=74
Current State: 74:[16, 15, 74], Operations: ['60+14=74']
Exploring Operation: 16-15=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 16-15=1
Current State: 74:[74, 1], Operations: ['60+14=74', '16-15=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
72,
11,
19,
21
] | 21 | [
"72-11=61",
"19+21=40",
"61-40=21"
] | Current State: 21:[72, 11, 19, 21], Operations: []
Exploring Operation: 72-11=61, Resulting Numbers: [19, 21, 61]
Generated Node #2: [19, 21, 61] from Operation: 72-11=61
Current State: 21:[19, 21, 61], Operations: ['72-11=61']
Exploring Operation: 19+21=40, Resulting Numbers: [61, 40]
Generated Node #3: [61, 40] from Operation: 19+21=40
Current State: 21:[61, 40], Operations: ['72-11=61', '19+21=40']
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
23,
4,
17,
70
] | 46 | [
"23-17=6",
"4*6=24",
"70-24=46"
] | Current State: 46:[23, 4, 17, 70], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [4, 70, 6]
Generated Node #2: [4, 70, 6] from Operation: 23-17=6
Current State: 46:[4, 70, 6], Operations: ['23-17=6']
Exploring Operation: 4*6=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 4*6=24
Current State: 46:[70, 24], Operations: ['23-17=6', '4*6=24']
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
37,
78,
96,
12
] | 31 | [
"37+78=115",
"96-12=84",
"115-84=31"
] | Current State: 31:[37, 78, 96, 12], Operations: []
Exploring Operation: 37+78=115, Resulting Numbers: [96, 12, 115]
Generated Node #2: [96, 12, 115] from Operation: 37+78=115
Current State: 31:[96, 12, 115], Operations: ['37+78=115']
Exploring Operation: 96-12=84, Resulting Numbers: [115, 84]
Generated Node #3: [115, 84] from Operation: 96-12=84
Current State: 31:[115, 84], Operations: ['37+78=115', '96-12=84']
Exploring Operation: 115-84=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
86,
38,
20,
98
] | 46 | [
"86+38=124",
"98-20=78",
"124-78=46"
] | Current State: 46:[86, 38, 20, 98], Operations: []
Exploring Operation: 86+38=124, Resulting Numbers: [20, 98, 124]
Generated Node #2: [20, 98, 124] from Operation: 86+38=124
Current State: 46:[20, 98, 124], Operations: ['86+38=124']
Exploring Operation: 98-20=78, Resulting Numbers: [124, 78]
Generated Node #3: [124, 78] from Operation: 98-20=78
Current State: 46:[124, 78], Operations: ['86+38=124', '98-20=78']
Exploring Operation: 124-78=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
67,
28,
19,
26
] | 50 | [
"67+28=95",
"19+26=45",
"95-45=50"
] | Current State: 50:[67, 28, 19, 26], Operations: []
Exploring Operation: 67+28=95, Resulting Numbers: [19, 26, 95]
Generated Node #2: [19, 26, 95] from Operation: 67+28=95
Current State: 50:[19, 26, 95], Operations: ['67+28=95']
Exploring Operation: 19+26=45, Resulting Numbers: [95, 45]
Generated Node #3: [95, 45] from Operation: 19+26=45
Current State: 50:[95, 45], Operations: ['67+28=95', '19+26=45']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
20,
99,
89,
55
] | 45 | [
"99-20=79",
"89-55=34",
"79-34=45"
] | Current State: 45:[20, 99, 89, 55], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [89, 55, 79]
Generated Node #2: [89, 55, 79] from Operation: 99-20=79
Current State: 45:[89, 55, 79], Operations: ['99-20=79']
Exploring Operation: 89-55=34, Resulting Numbers: [79, 34]
Generated Node #3: [79, 34] from Operation: 89-55=34
Current State: 45:[79, 34], Operations: ['99-20=79', '89-55=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
53,
13,
49,
11
] | 28 | [
"53+13=66",
"49-11=38",
"66-38=28"
] | Current State: 28:[53, 13, 49, 11], Operations: []
Exploring Operation: 53+13=66, Resulting Numbers: [49, 11, 66]
Generated Node #2: [49, 11, 66] from Operation: 53+13=66
Current State: 28:[49, 11, 66], Operations: ['53+13=66']
Exploring Operation: 49-11=38, Resulting Numbers: [66, 38]
Generated Node #3: [66, 38] from Operation: 49-11=38
Current State: 28:[66, 38], Operations: ['53+13=66', '49-11=38']
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
60,
3,
99,
41
] | 68 | [
"60+41=101",
"99/3=33",
"101-33=68"
] | Current State: 68:[60, 3, 99, 41], Operations: []
Exploring Operation: 60+41=101, Resulting Numbers: [3, 99, 101]
Generated Node #2: [3, 99, 101] from Operation: 60+41=101
Current State: 68:[3, 99, 101], Operations: ['60+41=101']
Exploring Operation: 99/3=33, Resulting Numbers: [101, 33]
Generated Node #3: [101, 33] from Operation: 99/3=33
Current State: 68:[101, 33], Operations: ['60+41=101', '99/3=33']
Exploring Operation: 101-33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
59,
75,
11,
4
] | 31 | [
"75-59=16",
"11+4=15",
"16+15=31"
] | Current State: 31:[59, 75, 11, 4], Operations: []
Exploring Operation: 75-59=16, Resulting Numbers: [11, 4, 16]
Generated Node #2: [11, 4, 16] from Operation: 75-59=16
Current State: 31:[11, 4, 16], Operations: ['75-59=16']
Exploring Operation: 11+4=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 11+4=15
Current State: 31:[16, 15], Operations: ['75-59=16', '11+4=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
42,
33,
2,
76
] | 32 | [
"76-42=34",
"33*2=66",
"66-34=32"
] | Current State: 32:[42, 33, 2, 76], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [33, 2, 34]
Generated Node #2: [33, 2, 34] from Operation: 76-42=34
Current State: 32:[33, 2, 34], Operations: ['76-42=34']
Exploring Operation: 33*2=66, Resulting Numbers: [34, 66]
Generated Node #3: [34, 66] from Operation: 33*2=66
Current State: 32:[34, 66], Operations: ['76-42=34', '33*2=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
89,
84,
59,
52
] | 35 | [
"89-84=5",
"59-52=7",
"5*7=35"
] | Current State: 35:[89, 84, 59, 52], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [59, 52, 5]
Generated Node #2: [59, 52, 5] from Operation: 89-84=5
Current State: 35:[59, 52, 5], Operations: ['89-84=5']
Exploring Operation: 59-52=7, Resulting Numbers: [5, 7]
Generated Node #3: [5, 7] from Operation: 59-52=7
Current State: 35:[5, 7], Operations: ['89-84=5', '59-52=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
38,
63,
31
] | 54 | [
"63-38=25",
"31-25=6",
"9*6=54"
] | Current State: 54:[9, 38, 63, 31], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [9, 31, 25]
Generated Node #2: [9, 31, 25] from Operation: 63-38=25
Current State: 54:[9, 31, 25], Operations: ['63-38=25']
Exploring Operation: 31-25=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 31-25=6
Current State: 54:[9, 6], Operations: ['63-38=25', '31-25=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
61,
93,
31,
82
] | 82 | [
"93-61=32",
"32-31=1",
"82*1=82"
] | Current State: 82:[61, 93, 31, 82], Operations: []
Exploring Operation: 93-61=32, Resulting Numbers: [31, 82, 32]
Generated Node #2: [31, 82, 32] from Operation: 93-61=32
Current State: 82:[31, 82, 32], Operations: ['93-61=32']
Exploring Operation: 32-31=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 32-31=1
Current State: 82:[82, 1], Operations: ['93-61=32', '32-31=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
45,
15,
64,
14
] | 75 | [
"45/15=3",
"64+14=78",
"78-3=75"
] | Current State: 75:[45, 15, 64, 14], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [64, 14, 3]
Generated Node #2: [64, 14, 3] from Operation: 45/15=3
Current State: 75:[64, 14, 3], Operations: ['45/15=3']
Exploring Operation: 64+14=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 64+14=78
Current State: 75:[3, 78], Operations: ['45/15=3', '64+14=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
34,
85,
60,
84
] | 60 | [
"34*60=2040",
"2040/85=24",
"84-24=60"
] | Current State: 60:[34, 85, 60, 84], Operations: []
Exploring Operation: 34*60=2040, Resulting Numbers: [85, 84, 2040]
Generated Node #2: [85, 84, 2040] from Operation: 34*60=2040
Current State: 60:[85, 84, 2040], Operations: ['34*60=2040']
Exploring Operation: 2040/85=24, Resulting Numbers: [84, 24]
Generated Node #3: [84, 24] from Operation: 2040/85=24
Current State: 60:[84, 24], Operations: ['34*60=2040', '2040/85=24']
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
57,
63,
38,
97
] | 55 | [
"63*38=2394",
"2394/57=42",
"97-42=55"
] | Current State: 55:[57, 63, 38, 97], Operations: []
Exploring Operation: 63*38=2394, Resulting Numbers: [57, 97, 2394]
Generated Node #2: [57, 97, 2394] from Operation: 63*38=2394
Current State: 55:[57, 97, 2394], Operations: ['63*38=2394']
Exploring Operation: 2394/57=42, Resulting Numbers: [97, 42]
Generated Node #3: [97, 42] from Operation: 2394/57=42
Current State: 55:[97, 42], Operations: ['63*38=2394', '2394/57=42']
Exploring Operation: 97-42=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
42,
90,
3,
3
] | 79 | [
"42/3=14",
"90+3=93",
"93-14=79"
] | Current State: 79:[42, 90, 3, 3], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [90, 14]
Generated Node #2: [90, 14] from Operation: 42/3=14
Current State: 79:[90, 14], Operations: ['42/3=14']
Exploring Operation: 90+3=93, Resulting Numbers: [14, 93]
Generated Node #3: [14, 93] from Operation: 90+3=93
Current State: 79:[14, 93], Operations: ['42/3=14', '90+3=93']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
81,
20,
71,
17
] | 43 | [
"81*17=1377",
"20*71=1420",
"1420-1377=43"
] | Current State: 43:[81, 20, 71, 17], Operations: []
Exploring Operation: 81*17=1377, Resulting Numbers: [20, 71, 1377]
Generated Node #2: [20, 71, 1377] from Operation: 81*17=1377
Current State: 43:[20, 71, 1377], Operations: ['81*17=1377']
Exploring Operation: 20*71=1420, Resulting Numbers: [1377, 1420]
Generated Node #3: [1377, 1420] from Operation: 20*71=1420
Current State: 43:[1377, 1420], Operations: ['81*17=1377', '20*71=1420']
Exploring Operation: 1420-1377=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
30,
5,
75
] | 14 | [
"30-5=25",
"75/25=3",
"11+3=14"
] | Current State: 14:[11, 30, 5, 75], Operations: []
Exploring Operation: 30-5=25, Resulting Numbers: [11, 75, 25]
Generated Node #2: [11, 75, 25] from Operation: 30-5=25
Current State: 14:[11, 75, 25], Operations: ['30-5=25']
Exploring Operation: 75/25=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 75/25=3
Current State: 14:[11, 3], Operations: ['30-5=25', '75/25=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
28,
93,
14
] | 57 | [
"21+93=114",
"28/14=2",
"114/2=57"
] | Current State: 57:[21, 28, 93, 14], Operations: []
Exploring Operation: 21+93=114, Resulting Numbers: [28, 14, 114]
Generated Node #2: [28, 14, 114] from Operation: 21+93=114
Current State: 57:[28, 14, 114], Operations: ['21+93=114']
Exploring Operation: 28/14=2, Resulting Numbers: [114, 2]
Generated Node #3: [114, 2] from Operation: 28/14=2
Current State: 57:[114, 2], Operations: ['21+93=114', '28/14=2']
Exploring Operation: 114/2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
89,
23,
90,
36
] | 13 | [
"90-89=1",
"36-23=13",
"1*13=13"
] | Current State: 13:[89, 23, 90, 36], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [23, 36, 1]
Generated Node #2: [23, 36, 1] from Operation: 90-89=1
Current State: 13:[23, 36, 1], Operations: ['90-89=1']
Exploring Operation: 36-23=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 36-23=13
Current State: 13:[1, 13], Operations: ['90-89=1', '36-23=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
5,
68,
63,
3
] | 73 | [
"5-3=2",
"68*2=136",
"136-63=73"
] | Current State: 73:[5, 68, 63, 3], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [68, 63, 2]
Generated Node #2: [68, 63, 2] from Operation: 5-3=2
Current State: 73:[68, 63, 2], Operations: ['5-3=2']
Exploring Operation: 68*2=136, Resulting Numbers: [63, 136]
Generated Node #3: [63, 136] from Operation: 68*2=136
Current State: 73:[63, 136], Operations: ['5-3=2', '68*2=136']
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
89,
28,
43
] | 54 | [
"89-28=61",
"61-43=18",
"3*18=54"
] | Current State: 54:[3, 89, 28, 43], Operations: []
Exploring Operation: 89-28=61, Resulting Numbers: [3, 43, 61]
Generated Node #2: [3, 43, 61] from Operation: 89-28=61
Current State: 54:[3, 43, 61], Operations: ['89-28=61']
Exploring Operation: 61-43=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 61-43=18
Current State: 54:[3, 18], Operations: ['89-28=61', '61-43=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
63,
76,
32,
5
] | 79 | [
"63-32=31",
"5*31=155",
"155-76=79"
] | Current State: 79:[63, 76, 32, 5], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [76, 5, 31]
Generated Node #2: [76, 5, 31] from Operation: 63-32=31
Current State: 79:[76, 5, 31], Operations: ['63-32=31']
Exploring Operation: 5*31=155, Resulting Numbers: [76, 155]
Generated Node #3: [76, 155] from Operation: 5*31=155
Current State: 79:[76, 155], Operations: ['63-32=31', '5*31=155']
Exploring Operation: 155-76=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
42,
90,
28,
27
] | 21 | [
"42+28=70",
"27*70=1890",
"1890/90=21"
] | Current State: 21:[42, 90, 28, 27], Operations: []
Exploring Operation: 42+28=70, Resulting Numbers: [90, 27, 70]
Generated Node #2: [90, 27, 70] from Operation: 42+28=70
Current State: 21:[90, 27, 70], Operations: ['42+28=70']
Exploring Operation: 27*70=1890, Resulting Numbers: [90, 1890]
Generated Node #3: [90, 1890] from Operation: 27*70=1890
Current State: 21:[90, 1890], Operations: ['42+28=70', '27*70=1890']
Exploring Operation: 1890/90=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
46,
15,
84,
39
] | 26 | [
"46*39=1794",
"84-15=69",
"1794/69=26"
] | Current State: 26:[46, 15, 84, 39], Operations: []
Exploring Operation: 46*39=1794, Resulting Numbers: [15, 84, 1794]
Generated Node #2: [15, 84, 1794] from Operation: 46*39=1794
Current State: 26:[15, 84, 1794], Operations: ['46*39=1794']
Exploring Operation: 84-15=69, Resulting Numbers: [1794, 69]
Generated Node #3: [1794, 69] from Operation: 84-15=69
Current State: 26:[1794, 69], Operations: ['46*39=1794', '84-15=69']
Exploring Operation: 1794/69=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
3,
34,
25,
17
] | 79 | [
"3+34=37",
"25+17=42",
"37+42=79"
] | Current State: 79:[3, 34, 25, 17], Operations: []
Exploring Operation: 3+34=37, Resulting Numbers: [25, 17, 37]
Generated Node #2: [25, 17, 37] from Operation: 3+34=37
Current State: 79:[25, 17, 37], Operations: ['3+34=37']
Exploring Operation: 25+17=42, Resulting Numbers: [37, 42]
Generated Node #3: [37, 42] from Operation: 25+17=42
Current State: 79:[37, 42], Operations: ['3+34=37', '25+17=42']
Exploring Operation: 37+42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
87,
75,
95,
23
] | 90 | [
"87+75=162",
"95-23=72",
"162-72=90"
] | Current State: 90:[87, 75, 95, 23], Operations: []
Exploring Operation: 87+75=162, Resulting Numbers: [95, 23, 162]
Generated Node #2: [95, 23, 162] from Operation: 87+75=162
Current State: 90:[95, 23, 162], Operations: ['87+75=162']
Exploring Operation: 95-23=72, Resulting Numbers: [162, 72]
Generated Node #3: [162, 72] from Operation: 95-23=72
Current State: 90:[162, 72], Operations: ['87+75=162', '95-23=72']
Exploring Operation: 162-72=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
29,
78,
76,
54
] | 27 | [
"78-29=49",
"76-54=22",
"49-22=27"
] | Current State: 27:[29, 78, 76, 54], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [76, 54, 49]
Generated Node #2: [76, 54, 49] from Operation: 78-29=49
Current State: 27:[76, 54, 49], Operations: ['78-29=49']
Exploring Operation: 76-54=22, Resulting Numbers: [49, 22]
Generated Node #3: [49, 22] from Operation: 76-54=22
Current State: 27:[49, 22], Operations: ['78-29=49', '76-54=22']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
94,
77,
9,
5
] | 66 | [
"94+5=99",
"99/9=11",
"77-11=66"
] | Current State: 66:[94, 77, 9, 5], Operations: []
Exploring Operation: 94+5=99, Resulting Numbers: [77, 9, 99]
Generated Node #2: [77, 9, 99] from Operation: 94+5=99
Current State: 66:[77, 9, 99], Operations: ['94+5=99']
Exploring Operation: 99/9=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 99/9=11
Current State: 66:[77, 11], Operations: ['94+5=99', '99/9=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
67,
78,
2,
14
] | 61 | [
"78-14=64",
"2*64=128",
"128-67=61"
] | Current State: 61:[67, 78, 2, 14], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [67, 2, 64]
Generated Node #2: [67, 2, 64] from Operation: 78-14=64
Current State: 61:[67, 2, 64], Operations: ['78-14=64']
Exploring Operation: 2*64=128, Resulting Numbers: [67, 128]
Generated Node #3: [67, 128] from Operation: 2*64=128
Current State: 61:[67, 128], Operations: ['78-14=64', '2*64=128']
Exploring Operation: 128-67=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
4,
31,
4,
19
] | 93 | [
"4*4=16",
"19-16=3",
"31*3=93"
] | Current State: 93:[4, 31, 4, 19], Operations: []
Exploring Operation: 4*4=16, Resulting Numbers: [31, 19, 16]
Generated Node #2: [31, 19, 16] from Operation: 4*4=16
Current State: 93:[31, 19, 16], Operations: ['4*4=16']
Exploring Operation: 19-16=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 19-16=3
Current State: 93:[31, 3], Operations: ['4*4=16', '19-16=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
75,
19,
67,
72
] | 34 | [
"72-67=5",
"75/5=15",
"19+15=34"
] | Current State: 34:[75, 19, 67, 72], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [75, 19, 5]
Generated Node #2: [75, 19, 5] from Operation: 72-67=5
Current State: 34:[75, 19, 5], Operations: ['72-67=5']
Exploring Operation: 75/5=15, Resulting Numbers: [19, 15]
Generated Node #3: [19, 15] from Operation: 75/5=15
Current State: 34:[19, 15], Operations: ['72-67=5', '75/5=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
16,
67,
83,
25
] | 22 | [
"67+83=150",
"150/25=6",
"16+6=22"
] | Current State: 22:[16, 67, 83, 25], Operations: []
Exploring Operation: 67+83=150, Resulting Numbers: [16, 25, 150]
Generated Node #2: [16, 25, 150] from Operation: 67+83=150
Current State: 22:[16, 25, 150], Operations: ['67+83=150']
Exploring Operation: 150/25=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 150/25=6
Current State: 22:[16, 6], Operations: ['67+83=150', '150/25=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
50,
95,
25,
49
] | 92 | [
"50/25=2",
"95-49=46",
"2*46=92"
] | Current State: 92:[50, 95, 25, 49], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [95, 49, 2]
Generated Node #2: [95, 49, 2] from Operation: 50/25=2
Current State: 92:[95, 49, 2], Operations: ['50/25=2']
Exploring Operation: 95-49=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 95-49=46
Current State: 92:[2, 46], Operations: ['50/25=2', '95-49=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
11,
97,
72,
17
] | 19 | [
"11+97=108",
"72+17=89",
"108-89=19"
] | Current State: 19:[11, 97, 72, 17], Operations: []
Exploring Operation: 11+97=108, Resulting Numbers: [72, 17, 108]
Generated Node #2: [72, 17, 108] from Operation: 11+97=108
Current State: 19:[72, 17, 108], Operations: ['11+97=108']
Exploring Operation: 72+17=89, Resulting Numbers: [108, 89]
Generated Node #3: [108, 89] from Operation: 72+17=89
Current State: 19:[108, 89], Operations: ['11+97=108', '72+17=89']
Exploring Operation: 108-89=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
23,
67,
45,
57
] | 58 | [
"67-23=44",
"45+57=102",
"102-44=58"
] | Current State: 58:[23, 67, 45, 57], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [45, 57, 44]
Generated Node #2: [45, 57, 44] from Operation: 67-23=44
Current State: 58:[45, 57, 44], Operations: ['67-23=44']
Exploring Operation: 45+57=102, Resulting Numbers: [44, 102]
Generated Node #3: [44, 102] from Operation: 45+57=102
Current State: 58:[44, 102], Operations: ['67-23=44', '45+57=102']
Exploring Operation: 102-44=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
61,
78,
22,
3
] | 49 | [
"78-61=17",
"22*3=66",
"66-17=49"
] | Current State: 49:[61, 78, 22, 3], Operations: []
Exploring Operation: 78-61=17, Resulting Numbers: [22, 3, 17]
Generated Node #2: [22, 3, 17] from Operation: 78-61=17
Current State: 49:[22, 3, 17], Operations: ['78-61=17']
Exploring Operation: 22*3=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 22*3=66
Current State: 49:[17, 66], Operations: ['78-61=17', '22*3=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
13,
60,
36,
92
] | 63 | [
"13+92=105",
"36*105=3780",
"3780/60=63"
] | Current State: 63:[13, 60, 36, 92], Operations: []
Exploring Operation: 13+92=105, Resulting Numbers: [60, 36, 105]
Generated Node #2: [60, 36, 105] from Operation: 13+92=105
Current State: 63:[60, 36, 105], Operations: ['13+92=105']
Exploring Operation: 36*105=3780, Resulting Numbers: [60, 3780]
Generated Node #3: [60, 3780] from Operation: 36*105=3780
Current State: 63:[60, 3780], Operations: ['13+92=105', '36*105=3780']
Exploring Operation: 3780/60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
53,
7,
41,
87
] | 92 | [
"53-7=46",
"87-41=46",
"46+46=92"
] | Current State: 92:[53, 7, 41, 87], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [41, 87, 46]
Generated Node #2: [41, 87, 46] from Operation: 53-7=46
Current State: 92:[41, 87, 46], Operations: ['53-7=46']
Exploring Operation: 87-41=46, Resulting Numbers: [46, 46]
Generated Node #3: [46, 46] from Operation: 87-41=46
Current State: 92:[46, 46], Operations: ['53-7=46', '87-41=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
23,
8,
49,
90
] | 43 | [
"23-8=15",
"90/15=6",
"49-6=43"
] | Current State: 43:[23, 8, 49, 90], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [49, 90, 15]
Generated Node #2: [49, 90, 15] from Operation: 23-8=15
Current State: 43:[49, 90, 15], Operations: ['23-8=15']
Exploring Operation: 90/15=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 90/15=6
Current State: 43:[49, 6], Operations: ['23-8=15', '90/15=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
39,
74,
94
] | 70 | [
"96-94=2",
"74-39=35",
"2*35=70"
] | Current State: 70:[96, 39, 74, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [39, 74, 2]
Generated Node #2: [39, 74, 2] from Operation: 96-94=2
Current State: 70:[39, 74, 2], Operations: ['96-94=2']
Exploring Operation: 74-39=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 74-39=35
Current State: 70:[2, 35], Operations: ['96-94=2', '74-39=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
14,
43,
9,
71
] | 18 | [
"71-43=28",
"28/14=2",
"9*2=18"
] | Current State: 18:[14, 43, 9, 71], Operations: []
Exploring Operation: 71-43=28, Resulting Numbers: [14, 9, 28]
Generated Node #2: [14, 9, 28] from Operation: 71-43=28
Current State: 18:[14, 9, 28], Operations: ['71-43=28']
Exploring Operation: 28/14=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 28/14=2
Current State: 18:[9, 2], Operations: ['71-43=28', '28/14=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
22,
47,
2,
63
] | 10 | [
"22/2=11",
"47+63=110",
"110/11=10"
] | Current State: 10:[22, 47, 2, 63], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [47, 63, 11]
Generated Node #2: [47, 63, 11] from Operation: 22/2=11
Current State: 10:[47, 63, 11], Operations: ['22/2=11']
Exploring Operation: 47+63=110, Resulting Numbers: [11, 110]
Generated Node #3: [11, 110] from Operation: 47+63=110
Current State: 10:[11, 110], Operations: ['22/2=11', '47+63=110']
Exploring Operation: 110/11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
61,
60,
23,
46
] | 59 | [
"60*46=2760",
"2760/23=120",
"120-61=59"
] | Current State: 59:[61, 60, 23, 46], Operations: []
Exploring Operation: 60*46=2760, Resulting Numbers: [61, 23, 2760]
Generated Node #2: [61, 23, 2760] from Operation: 60*46=2760
Current State: 59:[61, 23, 2760], Operations: ['60*46=2760']
Exploring Operation: 2760/23=120, Resulting Numbers: [61, 120]
Generated Node #3: [61, 120] from Operation: 2760/23=120
Current State: 59:[61, 120], Operations: ['60*46=2760', '2760/23=120']
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
61,
15,
14,
36
] | 96 | [
"61-15=46",
"14+36=50",
"46+50=96"
] | Current State: 96:[61, 15, 14, 36], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [14, 36, 46]
Generated Node #2: [14, 36, 46] from Operation: 61-15=46
Current State: 96:[14, 36, 46], Operations: ['61-15=46']
Exploring Operation: 14+36=50, Resulting Numbers: [46, 50]
Generated Node #3: [46, 50] from Operation: 14+36=50
Current State: 96:[46, 50], Operations: ['61-15=46', '14+36=50']
Exploring Operation: 46+50=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
45,
56,
63
] | 82 | [
"82-45=37",
"56+63=119",
"119-37=82"
] | Current State: 82:[82, 45, 56, 63], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [56, 63, 37]
Generated Node #2: [56, 63, 37] from Operation: 82-45=37
Current State: 82:[56, 63, 37], Operations: ['82-45=37']
Exploring Operation: 56+63=119, Resulting Numbers: [37, 119]
Generated Node #3: [37, 119] from Operation: 56+63=119
Current State: 82:[37, 119], Operations: ['82-45=37', '56+63=119']
Exploring Operation: 119-37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
90,
97,
5
] | 15 | [
"97-88=9",
"90/9=10",
"5+10=15"
] | Current State: 15:[88, 90, 97, 5], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [90, 5, 9]
Generated Node #2: [90, 5, 9] from Operation: 97-88=9
Current State: 15:[90, 5, 9], Operations: ['97-88=9']
Exploring Operation: 90/9=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 90/9=10
Current State: 15:[5, 10], Operations: ['97-88=9', '90/9=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
67,
14,
26,
24
] | 65 | [
"26-14=12",
"24/12=2",
"67-2=65"
] | Current State: 65:[67, 14, 26, 24], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [67, 24, 12]
Generated Node #2: [67, 24, 12] from Operation: 26-14=12
Current State: 65:[67, 24, 12], Operations: ['26-14=12']
Exploring Operation: 24/12=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 24/12=2
Current State: 65:[67, 2], Operations: ['26-14=12', '24/12=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
72,
21,
45,
15
] | 57 | [
"21-15=6",
"72/6=12",
"45+12=57"
] | Current State: 57:[72, 21, 45, 15], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [72, 45, 6]
Generated Node #2: [72, 45, 6] from Operation: 21-15=6
Current State: 57:[72, 45, 6], Operations: ['21-15=6']
Exploring Operation: 72/6=12, Resulting Numbers: [45, 12]
Generated Node #3: [45, 12] from Operation: 72/6=12
Current State: 57:[45, 12], Operations: ['21-15=6', '72/6=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
96,
68,
1,
4
] | 36 | [
"4-1=3",
"96/3=32",
"68-32=36"
] | Current State: 36:[96, 68, 1, 4], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [96, 68, 3]
Generated Node #2: [96, 68, 3] from Operation: 4-1=3
Current State: 36:[96, 68, 3], Operations: ['4-1=3']
Exploring Operation: 96/3=32, Resulting Numbers: [68, 32]
Generated Node #3: [68, 32] from Operation: 96/3=32
Current State: 36:[68, 32], Operations: ['4-1=3', '96/3=32']
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
82,
1,
94,
53
] | 42 | [
"82+1=83",
"94-53=41",
"83-41=42"
] | Current State: 42:[82, 1, 94, 53], Operations: []
Exploring Operation: 82+1=83, Resulting Numbers: [94, 53, 83]
Generated Node #2: [94, 53, 83] from Operation: 82+1=83
Current State: 42:[94, 53, 83], Operations: ['82+1=83']
Exploring Operation: 94-53=41, Resulting Numbers: [83, 41]
Generated Node #3: [83, 41] from Operation: 94-53=41
Current State: 42:[83, 41], Operations: ['82+1=83', '94-53=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
58,
12,
93,
47
] | 70 | [
"58+12=70",
"93+47=140",
"140-70=70"
] | Current State: 70:[58, 12, 93, 47], Operations: []
Exploring Operation: 58+12=70, Resulting Numbers: [93, 47, 70]
Generated Node #2: [93, 47, 70] from Operation: 58+12=70
Current State: 70:[93, 47, 70], Operations: ['58+12=70']
Exploring Operation: 93+47=140, Resulting Numbers: [70, 140]
Generated Node #3: [70, 140] from Operation: 93+47=140
Current State: 70:[70, 140], Operations: ['58+12=70', '93+47=140']
Exploring Operation: 140-70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
36,
29,
39,
66
] | 72 | [
"29+39=68",
"68-66=2",
"36*2=72"
] | Current State: 72:[36, 29, 39, 66], Operations: []
Exploring Operation: 29+39=68, Resulting Numbers: [36, 66, 68]
Generated Node #2: [36, 66, 68] from Operation: 29+39=68
Current State: 72:[36, 66, 68], Operations: ['29+39=68']
Exploring Operation: 68-66=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 68-66=2
Current State: 72:[36, 2], Operations: ['29+39=68', '68-66=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
19,
46,
44
] | 96 | [
"19-13=6",
"46+44=90",
"6+90=96"
] | Current State: 96:[13, 19, 46, 44], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [46, 44, 6]
Generated Node #2: [46, 44, 6] from Operation: 19-13=6
Current State: 96:[46, 44, 6], Operations: ['19-13=6']
Exploring Operation: 46+44=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 46+44=90
Current State: 96:[6, 90], Operations: ['19-13=6', '46+44=90']
Exploring Operation: 6+90=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
90,
15,
25,
54
] | 84 | [
"25*54=1350",
"1350-90=1260",
"1260/15=84"
] | Current State: 84:[90, 15, 25, 54], Operations: []
Exploring Operation: 25*54=1350, Resulting Numbers: [90, 15, 1350]
Generated Node #2: [90, 15, 1350] from Operation: 25*54=1350
Current State: 84:[90, 15, 1350], Operations: ['25*54=1350']
Exploring Operation: 1350-90=1260, Resulting Numbers: [15, 1260]
Generated Node #3: [15, 1260] from Operation: 1350-90=1260
Current State: 84:[15, 1260], Operations: ['25*54=1350', '1350-90=1260']
Exploring Operation: 1260/15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
55,
49,
45
] | 18 | [
"45/15=3",
"55-49=6",
"3*6=18"
] | Current State: 18:[15, 55, 49, 45], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [55, 49, 3]
Generated Node #2: [55, 49, 3] from Operation: 45/15=3
Current State: 18:[55, 49, 3], Operations: ['45/15=3']
Exploring Operation: 55-49=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 55-49=6
Current State: 18:[3, 6], Operations: ['45/15=3', '55-49=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
39,
33,
66,
99
] | 93 | [
"39+33=72",
"66+99=165",
"165-72=93"
] | Current State: 93:[39, 33, 66, 99], Operations: []
Exploring Operation: 39+33=72, Resulting Numbers: [66, 99, 72]
Generated Node #2: [66, 99, 72] from Operation: 39+33=72
Current State: 93:[66, 99, 72], Operations: ['39+33=72']
Exploring Operation: 66+99=165, Resulting Numbers: [72, 165]
Generated Node #3: [72, 165] from Operation: 66+99=165
Current State: 93:[72, 165], Operations: ['39+33=72', '66+99=165']
Exploring Operation: 165-72=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
19,
8,
75,
71
] | 64 | [
"75-19=56",
"56/8=7",
"71-7=64"
] | Current State: 64:[19, 8, 75, 71], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [8, 71, 56]
Generated Node #2: [8, 71, 56] from Operation: 75-19=56
Current State: 64:[8, 71, 56], Operations: ['75-19=56']
Exploring Operation: 56/8=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 56/8=7
Current State: 64:[71, 7], Operations: ['75-19=56', '56/8=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
56,
29,
54,
59
] | 90 | [
"56+29=85",
"59-54=5",
"85+5=90"
] | Current State: 90:[56, 29, 54, 59], Operations: []
Exploring Operation: 56+29=85, Resulting Numbers: [54, 59, 85]
Generated Node #2: [54, 59, 85] from Operation: 56+29=85
Current State: 90:[54, 59, 85], Operations: ['56+29=85']
Exploring Operation: 59-54=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 59-54=5
Current State: 90:[85, 5], Operations: ['56+29=85', '59-54=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
39,
97,
5,
76
] | 23 | [
"97-39=58",
"5+76=81",
"81-58=23"
] | Current State: 23:[39, 97, 5, 76], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [5, 76, 58]
Generated Node #2: [5, 76, 58] from Operation: 97-39=58
Current State: 23:[5, 76, 58], Operations: ['97-39=58']
Exploring Operation: 5+76=81, Resulting Numbers: [58, 81]
Generated Node #3: [58, 81] from Operation: 5+76=81
Current State: 23:[58, 81], Operations: ['97-39=58', '5+76=81']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
81,
87,
82
] | 62 | [
"81-24=57",
"87-82=5",
"57+5=62"
] | Current State: 62:[24, 81, 87, 82], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [87, 82, 57]
Generated Node #2: [87, 82, 57] from Operation: 81-24=57
Current State: 62:[87, 82, 57], Operations: ['81-24=57']
Exploring Operation: 87-82=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 87-82=5
Current State: 62:[57, 5], Operations: ['81-24=57', '87-82=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
16,
71,
68,
78
] | 97 | [
"16+71=87",
"78-68=10",
"87+10=97"
] | Current State: 97:[16, 71, 68, 78], Operations: []
Exploring Operation: 16+71=87, Resulting Numbers: [68, 78, 87]
Generated Node #2: [68, 78, 87] from Operation: 16+71=87
Current State: 97:[68, 78, 87], Operations: ['16+71=87']
Exploring Operation: 78-68=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 78-68=10
Current State: 97:[87, 10], Operations: ['16+71=87', '78-68=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
21,
12,
24,
92
] | 88 | [
"24-21=3",
"12/3=4",
"92-4=88"
] | Current State: 88:[21, 12, 24, 92], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [12, 92, 3]
Generated Node #2: [12, 92, 3] from Operation: 24-21=3
Current State: 88:[12, 92, 3], Operations: ['24-21=3']
Exploring Operation: 12/3=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 12/3=4
Current State: 88:[92, 4], Operations: ['24-21=3', '12/3=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
1,
72,
64,
79
] | 87 | [
"1*72=72",
"79-64=15",
"72+15=87"
] | Current State: 87:[1, 72, 64, 79], Operations: []
Exploring Operation: 1*72=72, Resulting Numbers: [64, 79, 72]
Generated Node #2: [64, 79, 72] from Operation: 1*72=72
Current State: 87:[64, 79, 72], Operations: ['1*72=72']
Exploring Operation: 79-64=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 79-64=15
Current State: 87:[72, 15], Operations: ['1*72=72', '79-64=15']
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
63,
60,
87,
66
] | 63 | [
"63-60=3",
"87-66=21",
"3*21=63"
] | Current State: 63:[63, 60, 87, 66], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [87, 66, 3]
Generated Node #2: [87, 66, 3] from Operation: 63-60=3
Current State: 63:[87, 66, 3], Operations: ['63-60=3']
Exploring Operation: 87-66=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 87-66=21
Current State: 63:[3, 21], Operations: ['63-60=3', '87-66=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
49,
62,
22,
61
] | 70 | [
"62-49=13",
"22+61=83",
"83-13=70"
] | Current State: 70:[49, 62, 22, 61], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [22, 61, 13]
Generated Node #2: [22, 61, 13] from Operation: 62-49=13
Current State: 70:[22, 61, 13], Operations: ['62-49=13']
Exploring Operation: 22+61=83, Resulting Numbers: [13, 83]
Generated Node #3: [13, 83] from Operation: 22+61=83
Current State: 70:[13, 83], Operations: ['62-49=13', '22+61=83']
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
55,
85,
50,
24
] | 66 | [
"55+85=140",
"50+24=74",
"140-74=66"
] | Current State: 66:[55, 85, 50, 24], Operations: []
Exploring Operation: 55+85=140, Resulting Numbers: [50, 24, 140]
Generated Node #2: [50, 24, 140] from Operation: 55+85=140
Current State: 66:[50, 24, 140], Operations: ['55+85=140']
Exploring Operation: 50+24=74, Resulting Numbers: [140, 74]
Generated Node #3: [140, 74] from Operation: 50+24=74
Current State: 66:[140, 74], Operations: ['55+85=140', '50+24=74']
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
13,
2,
6,
50
] | 41 | [
"13+2=15",
"6+50=56",
"56-15=41"
] | Current State: 41:[13, 2, 6, 50], Operations: []
Exploring Operation: 13+2=15, Resulting Numbers: [6, 50, 15]
Generated Node #2: [6, 50, 15] from Operation: 13+2=15
Current State: 41:[6, 50, 15], Operations: ['13+2=15']
Exploring Operation: 6+50=56, Resulting Numbers: [15, 56]
Generated Node #3: [15, 56] from Operation: 6+50=56
Current State: 41:[15, 56], Operations: ['13+2=15', '6+50=56']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
28,
51,
5,
81
] | 63 | [
"51-28=23",
"5+81=86",
"86-23=63"
] | Current State: 63:[28, 51, 5, 81], Operations: []
Exploring Operation: 51-28=23, Resulting Numbers: [5, 81, 23]
Generated Node #2: [5, 81, 23] from Operation: 51-28=23
Current State: 63:[5, 81, 23], Operations: ['51-28=23']
Exploring Operation: 5+81=86, Resulting Numbers: [23, 86]
Generated Node #3: [23, 86] from Operation: 5+81=86
Current State: 63:[23, 86], Operations: ['51-28=23', '5+81=86']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
21,
37,
32,
56
] | 34 | [
"21+37=58",
"56-32=24",
"58-24=34"
] | Current State: 34:[21, 37, 32, 56], Operations: []
Exploring Operation: 21+37=58, Resulting Numbers: [32, 56, 58]
Generated Node #2: [32, 56, 58] from Operation: 21+37=58
Current State: 34:[32, 56, 58], Operations: ['21+37=58']
Exploring Operation: 56-32=24, Resulting Numbers: [58, 24]
Generated Node #3: [58, 24] from Operation: 56-32=24
Current State: 34:[58, 24], Operations: ['21+37=58', '56-32=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
51,
1,
43,
2
] | 94 | [
"51+43=94",
"2-1=1",
"94*1=94"
] | Current State: 94:[51, 1, 43, 2], Operations: []
Exploring Operation: 51+43=94, Resulting Numbers: [1, 2, 94]
Generated Node #2: [1, 2, 94] from Operation: 51+43=94
Current State: 94:[1, 2, 94], Operations: ['51+43=94']
Exploring Operation: 2-1=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 2-1=1
Current State: 94:[94, 1], Operations: ['51+43=94', '2-1=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
23,
37,
11
] | 12 | [
"60-23=37",
"37/37=1",
"11+1=12"
] | Current State: 12:[60, 23, 37, 11], Operations: []
Exploring Operation: 60-23=37, Resulting Numbers: [37, 11, 37]
Generated Node #2: [37, 11, 37] from Operation: 60-23=37
Current State: 12:[37, 11, 37], Operations: ['60-23=37']
Exploring Operation: 37/37=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 37/37=1
Current State: 12:[11, 1], Operations: ['60-23=37', '37/37=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
10,
79,
81,
3
] | 58 | [
"79-10=69",
"69/3=23",
"81-23=58"
] | Current State: 58:[10, 79, 81, 3], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [81, 3, 69]
Generated Node #2: [81, 3, 69] from Operation: 79-10=69
Current State: 58:[81, 3, 69], Operations: ['79-10=69']
Exploring Operation: 69/3=23, Resulting Numbers: [81, 23]
Generated Node #3: [81, 23] from Operation: 69/3=23
Current State: 58:[81, 23], Operations: ['79-10=69', '69/3=23']
Exploring Operation: 81-23=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
2,
4,
61,
18
] | 77 | [
"4-2=2",
"61+18=79",
"79-2=77"
] | Current State: 77:[2, 4, 61, 18], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [61, 18, 2]
Generated Node #2: [61, 18, 2] from Operation: 4-2=2
Current State: 77:[61, 18, 2], Operations: ['4-2=2']
Exploring Operation: 61+18=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 61+18=79
Current State: 77:[2, 79], Operations: ['4-2=2', '61+18=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
65,
73,
20,
95
] | 23 | [
"65+73=138",
"20+95=115",
"138-115=23"
] | Current State: 23:[65, 73, 20, 95], Operations: []
Exploring Operation: 65+73=138, Resulting Numbers: [20, 95, 138]
Generated Node #2: [20, 95, 138] from Operation: 65+73=138
Current State: 23:[20, 95, 138], Operations: ['65+73=138']
Exploring Operation: 20+95=115, Resulting Numbers: [138, 115]
Generated Node #3: [138, 115] from Operation: 20+95=115
Current State: 23:[138, 115], Operations: ['65+73=138', '20+95=115']
Exploring Operation: 138-115=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
86,
24,
42,
78
] | 98 | [
"86-24=62",
"78-42=36",
"62+36=98"
] | Current State: 98:[86, 24, 42, 78], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [42, 78, 62]
Generated Node #2: [42, 78, 62] from Operation: 86-24=62
Current State: 98:[42, 78, 62], Operations: ['86-24=62']
Exploring Operation: 78-42=36, Resulting Numbers: [62, 36]
Generated Node #3: [62, 36] from Operation: 78-42=36
Current State: 98:[62, 36], Operations: ['86-24=62', '78-42=36']
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
52,
80,
52,
56
] | 80 | [
"80-52=28",
"52+56=108",
"108-28=80"
] | Current State: 80:[52, 80, 52, 56], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [56, 28]
Generated Node #2: [56, 28] from Operation: 80-52=28
Current State: 80:[56, 28], Operations: ['80-52=28']
Exploring Operation: 52+56=108, Resulting Numbers: [28, 108]
Generated Node #3: [28, 108] from Operation: 52+56=108
Current State: 80:[28, 108], Operations: ['80-52=28', '52+56=108']
Exploring Operation: 108-28=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
66,
33,
76,
45
] | 88 | [
"66-33=33",
"76+45=121",
"121-33=88"
] | Current State: 88:[66, 33, 76, 45], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [76, 45, 33]
Generated Node #2: [76, 45, 33] from Operation: 66-33=33
Current State: 88:[76, 45, 33], Operations: ['66-33=33']
Exploring Operation: 76+45=121, Resulting Numbers: [33, 121]
Generated Node #3: [33, 121] from Operation: 76+45=121
Current State: 88:[33, 121], Operations: ['66-33=33', '76+45=121']
Exploring Operation: 121-33=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
35,
54,
16,
13
] | 60 | [
"35+54=89",
"16+13=29",
"89-29=60"
] | Current State: 60:[35, 54, 16, 13], Operations: []
Exploring Operation: 35+54=89, Resulting Numbers: [16, 13, 89]
Generated Node #2: [16, 13, 89] from Operation: 35+54=89
Current State: 60:[16, 13, 89], Operations: ['35+54=89']
Exploring Operation: 16+13=29, Resulting Numbers: [89, 29]
Generated Node #3: [89, 29] from Operation: 16+13=29
Current State: 60:[89, 29], Operations: ['35+54=89', '16+13=29']
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
94,
66,
74
] | 40 | [
"68-66=2",
"94-74=20",
"2*20=40"
] | Current State: 40:[68, 94, 66, 74], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [94, 74, 2]
Generated Node #2: [94, 74, 2] from Operation: 68-66=2
Current State: 40:[94, 74, 2], Operations: ['68-66=2']
Exploring Operation: 94-74=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 94-74=20
Current State: 40:[2, 20], Operations: ['68-66=2', '94-74=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
81,
89,
89,
54
] | 81 | [
"89-89=0",
"54*0=0",
"81+0=81"
] | Current State: 81:[81, 89, 89, 54], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [81, 54, 0]
Generated Node #2: [81, 54, 0] from Operation: 89-89=0
Current State: 81:[81, 54, 0], Operations: ['89-89=0']
Exploring Operation: 54*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 54*0=0
Current State: 81:[81, 0], Operations: ['89-89=0', '54*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
15,
45,
8,
41
] | 93 | [
"15+45=60",
"41-8=33",
"60+33=93"
] | Current State: 93:[15, 45, 8, 41], Operations: []
Exploring Operation: 15+45=60, Resulting Numbers: [8, 41, 60]
Generated Node #2: [8, 41, 60] from Operation: 15+45=60
Current State: 93:[8, 41, 60], Operations: ['15+45=60']
Exploring Operation: 41-8=33, Resulting Numbers: [60, 33]
Generated Node #3: [60, 33] from Operation: 41-8=33
Current State: 93:[60, 33], Operations: ['15+45=60', '41-8=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
99,
67,
87,
30
] | 25 | [
"99-67=32",
"87-30=57",
"57-32=25"
] | Current State: 25:[99, 67, 87, 30], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [87, 30, 32]
Generated Node #2: [87, 30, 32] from Operation: 99-67=32
Current State: 25:[87, 30, 32], Operations: ['99-67=32']
Exploring Operation: 87-30=57, Resulting Numbers: [32, 57]
Generated Node #3: [32, 57] from Operation: 87-30=57
Current State: 25:[32, 57], Operations: ['99-67=32', '87-30=57']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
77,
58,
61,
85
] | 24 | [
"85-77=8",
"61-58=3",
"8*3=24"
] | Current State: 24:[77, 58, 61, 85], Operations: []
Exploring Operation: 85-77=8, Resulting Numbers: [58, 61, 8]
Generated Node #2: [58, 61, 8] from Operation: 85-77=8
Current State: 24:[58, 61, 8], Operations: ['85-77=8']
Exploring Operation: 61-58=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 61-58=3
Current State: 24:[8, 3], Operations: ['85-77=8', '61-58=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
9,
33,
16
] | 19 | [
"33-9=24",
"72/24=3",
"16+3=19"
] | Current State: 19:[72, 9, 33, 16], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [72, 16, 24]
Generated Node #2: [72, 16, 24] from Operation: 33-9=24
Current State: 19:[72, 16, 24], Operations: ['33-9=24']
Exploring Operation: 72/24=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 72/24=3
Current State: 19:[16, 3], Operations: ['33-9=24', '72/24=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
40,
44,
81,
77
] | 80 | [
"40+44=84",
"81-77=4",
"84-4=80"
] | Current State: 80:[40, 44, 81, 77], Operations: []
Exploring Operation: 40+44=84, Resulting Numbers: [81, 77, 84]
Generated Node #2: [81, 77, 84] from Operation: 40+44=84
Current State: 80:[81, 77, 84], Operations: ['40+44=84']
Exploring Operation: 81-77=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 81-77=4
Current State: 80:[84, 4], Operations: ['40+44=84', '81-77=4']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
90,
75,
2,
68
] | 86 | [
"90-68=22",
"22/2=11",
"75+11=86"
] | Current State: 86:[90, 75, 2, 68], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [75, 2, 22]
Generated Node #2: [75, 2, 22] from Operation: 90-68=22
Current State: 86:[75, 2, 22], Operations: ['90-68=22']
Exploring Operation: 22/2=11, Resulting Numbers: [75, 11]
Generated Node #3: [75, 11] from Operation: 22/2=11
Current State: 86:[75, 11], Operations: ['90-68=22', '22/2=11']
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
75,
48,
22,
74
] | 27 | [
"75+48=123",
"22+74=96",
"123-96=27"
] | Current State: 27:[75, 48, 22, 74], Operations: []
Exploring Operation: 75+48=123, Resulting Numbers: [22, 74, 123]
Generated Node #2: [22, 74, 123] from Operation: 75+48=123
Current State: 27:[22, 74, 123], Operations: ['75+48=123']
Exploring Operation: 22+74=96, Resulting Numbers: [123, 96]
Generated Node #3: [123, 96] from Operation: 22+74=96
Current State: 27:[123, 96], Operations: ['75+48=123', '22+74=96']
Exploring Operation: 123-96=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
30,
57,
21
] | 60 | [
"7*21=147",
"30+57=87",
"147-87=60"
] | Current State: 60:[7, 30, 57, 21], Operations: []
Exploring Operation: 7*21=147, Resulting Numbers: [30, 57, 147]
Generated Node #2: [30, 57, 147] from Operation: 7*21=147
Current State: 60:[30, 57, 147], Operations: ['7*21=147']
Exploring Operation: 30+57=87, Resulting Numbers: [147, 87]
Generated Node #3: [147, 87] from Operation: 30+57=87
Current State: 60:[147, 87], Operations: ['7*21=147', '30+57=87']
Exploring Operation: 147-87=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
7,
4,
84,
80
] | 66 | [
"7+80=87",
"84/4=21",
"87-21=66"
] | Current State: 66:[7, 4, 84, 80], Operations: []
Exploring Operation: 7+80=87, Resulting Numbers: [4, 84, 87]
Generated Node #2: [4, 84, 87] from Operation: 7+80=87
Current State: 66:[4, 84, 87], Operations: ['7+80=87']
Exploring Operation: 84/4=21, Resulting Numbers: [87, 21]
Generated Node #3: [87, 21] from Operation: 84/4=21
Current State: 66:[87, 21], Operations: ['7+80=87', '84/4=21']
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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