nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
23,
34,
2,
92
] | 11 | [
"23+34=57",
"92/2=46",
"57-46=11"
] | Current State: 11:[23, 34, 2, 92], Operations: []
Exploring Operation: 23+34=57, Resulting Numbers: [2, 92, 57]
Generated Node #2: [2, 92, 57] from Operation: 23+34=57
Current State: 11:[2, 92, 57], Operations: ['23+34=57']
Exploring Operation: 92/2=46, Resulting Numbers: [57, 46]
Generated Node #3: [57, 46] from Operation: 92/2=46
Current State: 11:[57, 46], Operations: ['23+34=57', '92/2=46']
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
96,
33,
98,
14
] | 45 | [
"96+33=129",
"98-14=84",
"129-84=45"
] | Current State: 45:[96, 33, 98, 14], Operations: []
Exploring Operation: 96+33=129, Resulting Numbers: [98, 14, 129]
Generated Node #2: [98, 14, 129] from Operation: 96+33=129
Current State: 45:[98, 14, 129], Operations: ['96+33=129']
Exploring Operation: 98-14=84, Resulting Numbers: [129, 84]
Generated Node #3: [129, 84] from Operation: 98-14=84
Current State: 45:[129, 84], Operations: ['96+33=129', '98-14=84']
Exploring Operation: 129-84=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
40,
77,
15
] | 62 | [
"84+40=124",
"77-15=62",
"124-62=62"
] | Current State: 62:[84, 40, 77, 15], Operations: []
Exploring Operation: 84+40=124, Resulting Numbers: [77, 15, 124]
Generated Node #2: [77, 15, 124] from Operation: 84+40=124
Current State: 62:[77, 15, 124], Operations: ['84+40=124']
Exploring Operation: 77-15=62, Resulting Numbers: [124, 62]
Generated Node #3: [124, 62] from Operation: 77-15=62
Current State: 62:[124, 62], Operations: ['84+40=124', '77-15=62']
Exploring Operation: 124-62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
60,
20,
1,
48
] | 87 | [
"60-20=40",
"48-1=47",
"40+47=87"
] | Current State: 87:[60, 20, 1, 48], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [1, 48, 40]
Generated Node #2: [1, 48, 40] from Operation: 60-20=40
Current State: 87:[1, 48, 40], Operations: ['60-20=40']
Exploring Operation: 48-1=47, Resulting Numbers: [40, 47]
Generated Node #3: [40, 47] from Operation: 48-1=47
Current State: 87:[40, 47], Operations: ['60-20=40', '48-1=47']
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
49,
74,
1,
69
] | 95 | [
"74-49=25",
"1+69=70",
"25+70=95"
] | Current State: 95:[49, 74, 1, 69], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [1, 69, 25]
Generated Node #2: [1, 69, 25] from Operation: 74-49=25
Current State: 95:[1, 69, 25], Operations: ['74-49=25']
Exploring Operation: 1+69=70, Resulting Numbers: [25, 70]
Generated Node #3: [25, 70] from Operation: 1+69=70
Current State: 95:[25, 70], Operations: ['74-49=25', '1+69=70']
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
94,
41,
45,
68
] | 65 | [
"94+41=135",
"135/45=3",
"68-3=65"
] | Current State: 65:[94, 41, 45, 68], Operations: []
Exploring Operation: 94+41=135, Resulting Numbers: [45, 68, 135]
Generated Node #2: [45, 68, 135] from Operation: 94+41=135
Current State: 65:[45, 68, 135], Operations: ['94+41=135']
Exploring Operation: 135/45=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 135/45=3
Current State: 65:[68, 3], Operations: ['94+41=135', '135/45=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
63,
48,
94
] | 22 | [
"5+63=68",
"94-48=46",
"68-46=22"
] | Current State: 22:[5, 63, 48, 94], Operations: []
Exploring Operation: 5+63=68, Resulting Numbers: [48, 94, 68]
Generated Node #2: [48, 94, 68] from Operation: 5+63=68
Current State: 22:[48, 94, 68], Operations: ['5+63=68']
Exploring Operation: 94-48=46, Resulting Numbers: [68, 46]
Generated Node #3: [68, 46] from Operation: 94-48=46
Current State: 22:[68, 46], Operations: ['5+63=68', '94-48=46']
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
28,
57,
33,
35
] | 97 | [
"57-28=29",
"33+35=68",
"29+68=97"
] | Current State: 97:[28, 57, 33, 35], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [33, 35, 29]
Generated Node #2: [33, 35, 29] from Operation: 57-28=29
Current State: 97:[33, 35, 29], Operations: ['57-28=29']
Exploring Operation: 33+35=68, Resulting Numbers: [29, 68]
Generated Node #3: [29, 68] from Operation: 33+35=68
Current State: 97:[29, 68], Operations: ['57-28=29', '33+35=68']
Exploring Operation: 29+68=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
91,
56,
69
] | 82 | [
"4+91=95",
"69-56=13",
"95-13=82"
] | Current State: 82:[4, 91, 56, 69], Operations: []
Exploring Operation: 4+91=95, Resulting Numbers: [56, 69, 95]
Generated Node #2: [56, 69, 95] from Operation: 4+91=95
Current State: 82:[56, 69, 95], Operations: ['4+91=95']
Exploring Operation: 69-56=13, Resulting Numbers: [95, 13]
Generated Node #3: [95, 13] from Operation: 69-56=13
Current State: 82:[95, 13], Operations: ['4+91=95', '69-56=13']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
26,
19,
29,
35
] | 92 | [
"29-26=3",
"19*3=57",
"35+57=92"
] | Current State: 92:[26, 19, 29, 35], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [19, 35, 3]
Generated Node #2: [19, 35, 3] from Operation: 29-26=3
Current State: 92:[19, 35, 3], Operations: ['29-26=3']
Exploring Operation: 19*3=57, Resulting Numbers: [35, 57]
Generated Node #3: [35, 57] from Operation: 19*3=57
Current State: 92:[35, 57], Operations: ['29-26=3', '19*3=57']
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
40,
65,
2,
9
] | 36 | [
"65-40=25",
"2+9=11",
"25+11=36"
] | Current State: 36:[40, 65, 2, 9], Operations: []
Exploring Operation: 65-40=25, Resulting Numbers: [2, 9, 25]
Generated Node #2: [2, 9, 25] from Operation: 65-40=25
Current State: 36:[2, 9, 25], Operations: ['65-40=25']
Exploring Operation: 2+9=11, Resulting Numbers: [25, 11]
Generated Node #3: [25, 11] from Operation: 2+9=11
Current State: 36:[25, 11], Operations: ['65-40=25', '2+9=11']
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
23,
73,
88,
95
] | 18 | [
"23*73=1679",
"1679-95=1584",
"1584/88=18"
] | Current State: 18:[23, 73, 88, 95], Operations: []
Exploring Operation: 23*73=1679, Resulting Numbers: [88, 95, 1679]
Generated Node #2: [88, 95, 1679] from Operation: 23*73=1679
Current State: 18:[88, 95, 1679], Operations: ['23*73=1679']
Exploring Operation: 1679-95=1584, Resulting Numbers: [88, 1584]
Generated Node #3: [88, 1584] from Operation: 1679-95=1584
Current State: 18:[88, 1584], Operations: ['23*73=1679', '1679-95=1584']
Exploring Operation: 1584/88=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
15,
6,
11,
88
] | 78 | [
"15+6=21",
"11+88=99",
"99-21=78"
] | Current State: 78:[15, 6, 11, 88], Operations: []
Exploring Operation: 15+6=21, Resulting Numbers: [11, 88, 21]
Generated Node #2: [11, 88, 21] from Operation: 15+6=21
Current State: 78:[11, 88, 21], Operations: ['15+6=21']
Exploring Operation: 11+88=99, Resulting Numbers: [21, 99]
Generated Node #3: [21, 99] from Operation: 11+88=99
Current State: 78:[21, 99], Operations: ['15+6=21', '11+88=99']
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
56,
70,
42
] | 84 | [
"56-28=28",
"70+42=112",
"112-28=84"
] | Current State: 84:[28, 56, 70, 42], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [70, 42, 28]
Generated Node #2: [70, 42, 28] from Operation: 56-28=28
Current State: 84:[70, 42, 28], Operations: ['56-28=28']
Exploring Operation: 70+42=112, Resulting Numbers: [28, 112]
Generated Node #3: [28, 112] from Operation: 70+42=112
Current State: 84:[28, 112], Operations: ['56-28=28', '70+42=112']
Exploring Operation: 112-28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
49,
62,
8,
40
] | 79 | [
"49+62=111",
"40-8=32",
"111-32=79"
] | Current State: 79:[49, 62, 8, 40], Operations: []
Exploring Operation: 49+62=111, Resulting Numbers: [8, 40, 111]
Generated Node #2: [8, 40, 111] from Operation: 49+62=111
Current State: 79:[8, 40, 111], Operations: ['49+62=111']
Exploring Operation: 40-8=32, Resulting Numbers: [111, 32]
Generated Node #3: [111, 32] from Operation: 40-8=32
Current State: 79:[111, 32], Operations: ['49+62=111', '40-8=32']
Exploring Operation: 111-32=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
43,
83,
3,
25
] | 95 | [
"83-43=40",
"3*40=120",
"120-25=95"
] | Current State: 95:[43, 83, 3, 25], Operations: []
Exploring Operation: 83-43=40, Resulting Numbers: [3, 25, 40]
Generated Node #2: [3, 25, 40] from Operation: 83-43=40
Current State: 95:[3, 25, 40], Operations: ['83-43=40']
Exploring Operation: 3*40=120, Resulting Numbers: [25, 120]
Generated Node #3: [25, 120] from Operation: 3*40=120
Current State: 95:[25, 120], Operations: ['83-43=40', '3*40=120']
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
36,
34,
46,
57
] | 80 | [
"36-34=2",
"46/2=23",
"57+23=80"
] | Current State: 80:[36, 34, 46, 57], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [46, 57, 2]
Generated Node #2: [46, 57, 2] from Operation: 36-34=2
Current State: 80:[46, 57, 2], Operations: ['36-34=2']
Exploring Operation: 46/2=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 46/2=23
Current State: 80:[57, 23], Operations: ['36-34=2', '46/2=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
92,
15,
74,
17
] | 90 | [
"74*17=1258",
"92+1258=1350",
"1350/15=90"
] | Current State: 90:[92, 15, 74, 17], Operations: []
Exploring Operation: 74*17=1258, Resulting Numbers: [92, 15, 1258]
Generated Node #2: [92, 15, 1258] from Operation: 74*17=1258
Current State: 90:[92, 15, 1258], Operations: ['74*17=1258']
Exploring Operation: 92+1258=1350, Resulting Numbers: [15, 1350]
Generated Node #3: [15, 1350] from Operation: 92+1258=1350
Current State: 90:[15, 1350], Operations: ['74*17=1258', '92+1258=1350']
Exploring Operation: 1350/15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
2,
12,
54,
56
] | 96 | [
"2+12=14",
"54+56=110",
"110-14=96"
] | Current State: 96:[2, 12, 54, 56], Operations: []
Exploring Operation: 2+12=14, Resulting Numbers: [54, 56, 14]
Generated Node #2: [54, 56, 14] from Operation: 2+12=14
Current State: 96:[54, 56, 14], Operations: ['2+12=14']
Exploring Operation: 54+56=110, Resulting Numbers: [14, 110]
Generated Node #3: [14, 110] from Operation: 54+56=110
Current State: 96:[14, 110], Operations: ['2+12=14', '54+56=110']
Exploring Operation: 110-14=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
96,
20,
86
] | 58 | [
"23*86=1978",
"96*20=1920",
"1978-1920=58"
] | Current State: 58:[23, 96, 20, 86], Operations: []
Exploring Operation: 23*86=1978, Resulting Numbers: [96, 20, 1978]
Generated Node #2: [96, 20, 1978] from Operation: 23*86=1978
Current State: 58:[96, 20, 1978], Operations: ['23*86=1978']
Exploring Operation: 96*20=1920, Resulting Numbers: [1978, 1920]
Generated Node #3: [1978, 1920] from Operation: 96*20=1920
Current State: 58:[1978, 1920], Operations: ['23*86=1978', '96*20=1920']
Exploring Operation: 1978-1920=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
47,
50,
74,
10
] | 87 | [
"50-47=3",
"74+10=84",
"3+84=87"
] | Current State: 87:[47, 50, 74, 10], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [74, 10, 3]
Generated Node #2: [74, 10, 3] from Operation: 50-47=3
Current State: 87:[74, 10, 3], Operations: ['50-47=3']
Exploring Operation: 74+10=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 74+10=84
Current State: 87:[3, 84], Operations: ['50-47=3', '74+10=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
9,
23,
17
] | 68 | [
"23-17=6",
"9*6=54",
"14+54=68"
] | Current State: 68:[14, 9, 23, 17], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [14, 9, 6]
Generated Node #2: [14, 9, 6] from Operation: 23-17=6
Current State: 68:[14, 9, 6], Operations: ['23-17=6']
Exploring Operation: 9*6=54, Resulting Numbers: [14, 54]
Generated Node #3: [14, 54] from Operation: 9*6=54
Current State: 68:[14, 54], Operations: ['23-17=6', '9*6=54']
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
70,
51,
39,
11
] | 71 | [
"70+51=121",
"39+11=50",
"121-50=71"
] | Current State: 71:[70, 51, 39, 11], Operations: []
Exploring Operation: 70+51=121, Resulting Numbers: [39, 11, 121]
Generated Node #2: [39, 11, 121] from Operation: 70+51=121
Current State: 71:[39, 11, 121], Operations: ['70+51=121']
Exploring Operation: 39+11=50, Resulting Numbers: [121, 50]
Generated Node #3: [121, 50] from Operation: 39+11=50
Current State: 71:[121, 50], Operations: ['70+51=121', '39+11=50']
Exploring Operation: 121-50=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
8,
81,
32,
72
] | 27 | [
"32-8=24",
"81*24=1944",
"1944/72=27"
] | Current State: 27:[8, 81, 32, 72], Operations: []
Exploring Operation: 32-8=24, Resulting Numbers: [81, 72, 24]
Generated Node #2: [81, 72, 24] from Operation: 32-8=24
Current State: 27:[81, 72, 24], Operations: ['32-8=24']
Exploring Operation: 81*24=1944, Resulting Numbers: [72, 1944]
Generated Node #3: [72, 1944] from Operation: 81*24=1944
Current State: 27:[72, 1944], Operations: ['32-8=24', '81*24=1944']
Exploring Operation: 1944/72=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
44,
30,
6,
39
] | 31 | [
"44-30=14",
"6+39=45",
"45-14=31"
] | Current State: 31:[44, 30, 6, 39], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [6, 39, 14]
Generated Node #2: [6, 39, 14] from Operation: 44-30=14
Current State: 31:[6, 39, 14], Operations: ['44-30=14']
Exploring Operation: 6+39=45, Resulting Numbers: [14, 45]
Generated Node #3: [14, 45] from Operation: 6+39=45
Current State: 31:[14, 45], Operations: ['44-30=14', '6+39=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
77,
24,
32
] | 47 | [
"24/12=2",
"77-32=45",
"2+45=47"
] | Current State: 47:[12, 77, 24, 32], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [77, 32, 2]
Generated Node #2: [77, 32, 2] from Operation: 24/12=2
Current State: 47:[77, 32, 2], Operations: ['24/12=2']
Exploring Operation: 77-32=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 77-32=45
Current State: 47:[2, 45], Operations: ['24/12=2', '77-32=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
95,
31,
34,
25
] | 67 | [
"95+31=126",
"34+25=59",
"126-59=67"
] | Current State: 67:[95, 31, 34, 25], Operations: []
Exploring Operation: 95+31=126, Resulting Numbers: [34, 25, 126]
Generated Node #2: [34, 25, 126] from Operation: 95+31=126
Current State: 67:[34, 25, 126], Operations: ['95+31=126']
Exploring Operation: 34+25=59, Resulting Numbers: [126, 59]
Generated Node #3: [126, 59] from Operation: 34+25=59
Current State: 67:[126, 59], Operations: ['95+31=126', '34+25=59']
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
16,
55,
50,
75
] | 64 | [
"55-16=39",
"75-50=25",
"39+25=64"
] | Current State: 64:[16, 55, 50, 75], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [50, 75, 39]
Generated Node #2: [50, 75, 39] from Operation: 55-16=39
Current State: 64:[50, 75, 39], Operations: ['55-16=39']
Exploring Operation: 75-50=25, Resulting Numbers: [39, 25]
Generated Node #3: [39, 25] from Operation: 75-50=25
Current State: 64:[39, 25], Operations: ['55-16=39', '75-50=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
51,
91,
42,
75
] | 88 | [
"51+75=126",
"126/42=3",
"91-3=88"
] | Current State: 88:[51, 91, 42, 75], Operations: []
Exploring Operation: 51+75=126, Resulting Numbers: [91, 42, 126]
Generated Node #2: [91, 42, 126] from Operation: 51+75=126
Current State: 88:[91, 42, 126], Operations: ['51+75=126']
Exploring Operation: 126/42=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 126/42=3
Current State: 88:[91, 3], Operations: ['51+75=126', '126/42=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
1,
39,
2
] | 36 | [
"42*1=42",
"39*2=78",
"78-42=36"
] | Current State: 36:[42, 1, 39, 2], Operations: []
Exploring Operation: 42*1=42, Resulting Numbers: [39, 2, 42]
Generated Node #2: [39, 2, 42] from Operation: 42*1=42
Current State: 36:[39, 2, 42], Operations: ['42*1=42']
Exploring Operation: 39*2=78, Resulting Numbers: [42, 78]
Generated Node #3: [42, 78] from Operation: 39*2=78
Current State: 36:[42, 78], Operations: ['42*1=42', '39*2=78']
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
6,
51,
2
] | 35 | [
"3*6=18",
"51+2=53",
"53-18=35"
] | Current State: 35:[3, 6, 51, 2], Operations: []
Exploring Operation: 3*6=18, Resulting Numbers: [51, 2, 18]
Generated Node #2: [51, 2, 18] from Operation: 3*6=18
Current State: 35:[51, 2, 18], Operations: ['3*6=18']
Exploring Operation: 51+2=53, Resulting Numbers: [18, 53]
Generated Node #3: [18, 53] from Operation: 51+2=53
Current State: 35:[18, 53], Operations: ['3*6=18', '51+2=53']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
89,
62,
13,
70
] | 84 | [
"89-62=27",
"70-13=57",
"27+57=84"
] | Current State: 84:[89, 62, 13, 70], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [13, 70, 27]
Generated Node #2: [13, 70, 27] from Operation: 89-62=27
Current State: 84:[13, 70, 27], Operations: ['89-62=27']
Exploring Operation: 70-13=57, Resulting Numbers: [27, 57]
Generated Node #3: [27, 57] from Operation: 70-13=57
Current State: 84:[27, 57], Operations: ['89-62=27', '70-13=57']
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
77,
77,
8,
40
] | 40 | [
"77-77=0",
"8*0=0",
"40+0=40"
] | Current State: 40:[77, 77, 8, 40], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [8, 40, 0]
Generated Node #2: [8, 40, 0] from Operation: 77-77=0
Current State: 40:[8, 40, 0], Operations: ['77-77=0']
Exploring Operation: 8*0=0, Resulting Numbers: [40, 0]
Generated Node #3: [40, 0] from Operation: 8*0=0
Current State: 40:[40, 0], Operations: ['77-77=0', '8*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
5,
93,
70,
93
] | 15 | [
"70/5=14",
"93/93=1",
"14+1=15"
] | Current State: 15:[5, 93, 70, 93], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [93, 93, 14]
Generated Node #2: [93, 93, 14] from Operation: 70/5=14
Current State: 15:[93, 93, 14], Operations: ['70/5=14']
Exploring Operation: 93/93=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 93/93=1
Current State: 15:[14, 1], Operations: ['70/5=14', '93/93=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
81,
25,
54,
90
] | 85 | [
"54*90=4860",
"4860/81=60",
"25+60=85"
] | Current State: 85:[81, 25, 54, 90], Operations: []
Exploring Operation: 54*90=4860, Resulting Numbers: [81, 25, 4860]
Generated Node #2: [81, 25, 4860] from Operation: 54*90=4860
Current State: 85:[81, 25, 4860], Operations: ['54*90=4860']
Exploring Operation: 4860/81=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 4860/81=60
Current State: 85:[25, 60], Operations: ['54*90=4860', '4860/81=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
18,
97,
78
] | 82 | [
"83+18=101",
"97-78=19",
"101-19=82"
] | Current State: 82:[83, 18, 97, 78], Operations: []
Exploring Operation: 83+18=101, Resulting Numbers: [97, 78, 101]
Generated Node #2: [97, 78, 101] from Operation: 83+18=101
Current State: 82:[97, 78, 101], Operations: ['83+18=101']
Exploring Operation: 97-78=19, Resulting Numbers: [101, 19]
Generated Node #3: [101, 19] from Operation: 97-78=19
Current State: 82:[101, 19], Operations: ['83+18=101', '97-78=19']
Exploring Operation: 101-19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
30,
60,
62,
25
] | 80 | [
"62-60=2",
"25*2=50",
"30+50=80"
] | Current State: 80:[30, 60, 62, 25], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [30, 25, 2]
Generated Node #2: [30, 25, 2] from Operation: 62-60=2
Current State: 80:[30, 25, 2], Operations: ['62-60=2']
Exploring Operation: 25*2=50, Resulting Numbers: [30, 50]
Generated Node #3: [30, 50] from Operation: 25*2=50
Current State: 80:[30, 50], Operations: ['62-60=2', '25*2=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
47,
16,
80,
90
] | 29 | [
"80/16=5",
"90/5=18",
"47-18=29"
] | Current State: 29:[47, 16, 80, 90], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [47, 90, 5]
Generated Node #2: [47, 90, 5] from Operation: 80/16=5
Current State: 29:[47, 90, 5], Operations: ['80/16=5']
Exploring Operation: 90/5=18, Resulting Numbers: [47, 18]
Generated Node #3: [47, 18] from Operation: 90/5=18
Current State: 29:[47, 18], Operations: ['80/16=5', '90/5=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
43,
18,
99,
21
] | 53 | [
"43-18=25",
"99-21=78",
"78-25=53"
] | Current State: 53:[43, 18, 99, 21], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [99, 21, 25]
Generated Node #2: [99, 21, 25] from Operation: 43-18=25
Current State: 53:[99, 21, 25], Operations: ['43-18=25']
Exploring Operation: 99-21=78, Resulting Numbers: [25, 78]
Generated Node #3: [25, 78] from Operation: 99-21=78
Current State: 53:[25, 78], Operations: ['43-18=25', '99-21=78']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
84,
24,
1,
3
] | 93 | [
"84+1=85",
"24/3=8",
"85+8=93"
] | Current State: 93:[84, 24, 1, 3], Operations: []
Exploring Operation: 84+1=85, Resulting Numbers: [24, 3, 85]
Generated Node #2: [24, 3, 85] from Operation: 84+1=85
Current State: 93:[24, 3, 85], Operations: ['84+1=85']
Exploring Operation: 24/3=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 24/3=8
Current State: 93:[85, 8], Operations: ['84+1=85', '24/3=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
50,
9,
12,
9
] | 63 | [
"50+12=62",
"9/9=1",
"62+1=63"
] | Current State: 63:[50, 9, 12, 9], Operations: []
Exploring Operation: 50+12=62, Resulting Numbers: [9, 9, 62]
Generated Node #2: [9, 9, 62] from Operation: 50+12=62
Current State: 63:[9, 9, 62], Operations: ['50+12=62']
Exploring Operation: 9/9=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 9/9=1
Current State: 63:[62, 1], Operations: ['50+12=62', '9/9=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
40,
16,
40,
38
] | 58 | [
"40+16=56",
"40-38=2",
"56+2=58"
] | Current State: 58:[40, 16, 40, 38], Operations: []
Exploring Operation: 40+16=56, Resulting Numbers: [38, 56]
Generated Node #2: [38, 56] from Operation: 40+16=56
Current State: 58:[38, 56], Operations: ['40+16=56']
Exploring Operation: 40-38=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 40-38=2
Current State: 58:[56, 2], Operations: ['40+16=56', '40-38=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
16,
87,
44,
55
] | 60 | [
"87-16=71",
"55-44=11",
"71-11=60"
] | Current State: 60:[16, 87, 44, 55], Operations: []
Exploring Operation: 87-16=71, Resulting Numbers: [44, 55, 71]
Generated Node #2: [44, 55, 71] from Operation: 87-16=71
Current State: 60:[44, 55, 71], Operations: ['87-16=71']
Exploring Operation: 55-44=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 55-44=11
Current State: 60:[71, 11], Operations: ['87-16=71', '55-44=11']
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
76,
76,
71,
38
] | 75 | [
"76+76=152",
"152/38=4",
"71+4=75"
] | Current State: 75:[76, 76, 71, 38], Operations: []
Exploring Operation: 76+76=152, Resulting Numbers: [71, 38, 152]
Generated Node #2: [71, 38, 152] from Operation: 76+76=152
Current State: 75:[71, 38, 152], Operations: ['76+76=152']
Exploring Operation: 152/38=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 152/38=4
Current State: 75:[71, 4], Operations: ['76+76=152', '152/38=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
9,
16,
2,
90
] | 72 | [
"16+2=18",
"9*18=162",
"162-90=72"
] | Current State: 72:[9, 16, 2, 90], Operations: []
Exploring Operation: 16+2=18, Resulting Numbers: [9, 90, 18]
Generated Node #2: [9, 90, 18] from Operation: 16+2=18
Current State: 72:[9, 90, 18], Operations: ['16+2=18']
Exploring Operation: 9*18=162, Resulting Numbers: [90, 162]
Generated Node #3: [90, 162] from Operation: 9*18=162
Current State: 72:[90, 162], Operations: ['16+2=18', '9*18=162']
Exploring Operation: 162-90=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
51,
40,
31,
42
] | 43 | [
"51+42=93",
"93/31=3",
"40+3=43"
] | Current State: 43:[51, 40, 31, 42], Operations: []
Exploring Operation: 51+42=93, Resulting Numbers: [40, 31, 93]
Generated Node #2: [40, 31, 93] from Operation: 51+42=93
Current State: 43:[40, 31, 93], Operations: ['51+42=93']
Exploring Operation: 93/31=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 93/31=3
Current State: 43:[40, 3], Operations: ['51+42=93', '93/31=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
12,
30,
16
] | 42 | [
"5*30=150",
"12*16=192",
"192-150=42"
] | Current State: 42:[5, 12, 30, 16], Operations: []
Exploring Operation: 5*30=150, Resulting Numbers: [12, 16, 150]
Generated Node #2: [12, 16, 150] from Operation: 5*30=150
Current State: 42:[12, 16, 150], Operations: ['5*30=150']
Exploring Operation: 12*16=192, Resulting Numbers: [150, 192]
Generated Node #3: [150, 192] from Operation: 12*16=192
Current State: 42:[150, 192], Operations: ['5*30=150', '12*16=192']
Exploring Operation: 192-150=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
58,
42,
61,
90
] | 71 | [
"58+42=100",
"90-61=29",
"100-29=71"
] | Current State: 71:[58, 42, 61, 90], Operations: []
Exploring Operation: 58+42=100, Resulting Numbers: [61, 90, 100]
Generated Node #2: [61, 90, 100] from Operation: 58+42=100
Current State: 71:[61, 90, 100], Operations: ['58+42=100']
Exploring Operation: 90-61=29, Resulting Numbers: [100, 29]
Generated Node #3: [100, 29] from Operation: 90-61=29
Current State: 71:[100, 29], Operations: ['58+42=100', '90-61=29']
Exploring Operation: 100-29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
1,
24,
76,
34
] | 87 | [
"24-1=23",
"76+34=110",
"110-23=87"
] | Current State: 87:[1, 24, 76, 34], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [76, 34, 23]
Generated Node #2: [76, 34, 23] from Operation: 24-1=23
Current State: 87:[76, 34, 23], Operations: ['24-1=23']
Exploring Operation: 76+34=110, Resulting Numbers: [23, 110]
Generated Node #3: [23, 110] from Operation: 76+34=110
Current State: 87:[23, 110], Operations: ['24-1=23', '76+34=110']
Exploring Operation: 110-23=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
77,
63,
43,
70
] | 86 | [
"77+63=140",
"43*140=6020",
"6020/70=86"
] | Current State: 86:[77, 63, 43, 70], Operations: []
Exploring Operation: 77+63=140, Resulting Numbers: [43, 70, 140]
Generated Node #2: [43, 70, 140] from Operation: 77+63=140
Current State: 86:[43, 70, 140], Operations: ['77+63=140']
Exploring Operation: 43*140=6020, Resulting Numbers: [70, 6020]
Generated Node #3: [70, 6020] from Operation: 43*140=6020
Current State: 86:[70, 6020], Operations: ['77+63=140', '43*140=6020']
Exploring Operation: 6020/70=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
64,
20,
24
] | 28 | [
"24-20=4",
"23*4=92",
"92-64=28"
] | Current State: 28:[23, 64, 20, 24], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [23, 64, 4]
Generated Node #2: [23, 64, 4] from Operation: 24-20=4
Current State: 28:[23, 64, 4], Operations: ['24-20=4']
Exploring Operation: 23*4=92, Resulting Numbers: [64, 92]
Generated Node #3: [64, 92] from Operation: 23*4=92
Current State: 28:[64, 92], Operations: ['24-20=4', '23*4=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
46,
55,
42,
1
] | 33 | [
"55-46=9",
"42*1=42",
"42-9=33"
] | Current State: 33:[46, 55, 42, 1], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [42, 1, 9]
Generated Node #2: [42, 1, 9] from Operation: 55-46=9
Current State: 33:[42, 1, 9], Operations: ['55-46=9']
Exploring Operation: 42*1=42, Resulting Numbers: [9, 42]
Generated Node #3: [9, 42] from Operation: 42*1=42
Current State: 33:[9, 42], Operations: ['55-46=9', '42*1=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
99,
99,
57,
92
] | 35 | [
"99-99=0",
"92-57=35",
"0+35=35"
] | Current State: 35:[99, 99, 57, 92], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [57, 92, 0]
Generated Node #2: [57, 92, 0] from Operation: 99-99=0
Current State: 35:[57, 92, 0], Operations: ['99-99=0']
Exploring Operation: 92-57=35, Resulting Numbers: [0, 35]
Generated Node #3: [0, 35] from Operation: 92-57=35
Current State: 35:[0, 35], Operations: ['99-99=0', '92-57=35']
Exploring Operation: 0+35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
85,
63,
7
] | 96 | [
"2+85=87",
"63/7=9",
"87+9=96"
] | Current State: 96:[2, 85, 63, 7], Operations: []
Exploring Operation: 2+85=87, Resulting Numbers: [63, 7, 87]
Generated Node #2: [63, 7, 87] from Operation: 2+85=87
Current State: 96:[63, 7, 87], Operations: ['2+85=87']
Exploring Operation: 63/7=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 63/7=9
Current State: 96:[87, 9], Operations: ['2+85=87', '63/7=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
21,
21,
7,
27
] | 27 | [
"21-21=0",
"7*0=0",
"27+0=27"
] | Current State: 27:[21, 21, 7, 27], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [7, 27, 0]
Generated Node #2: [7, 27, 0] from Operation: 21-21=0
Current State: 27:[7, 27, 0], Operations: ['21-21=0']
Exploring Operation: 7*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 7*0=0
Current State: 27:[27, 0], Operations: ['21-21=0', '7*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
1,
38,
36
] | 88 | [
"15-1=14",
"38+36=74",
"14+74=88"
] | Current State: 88:[15, 1, 38, 36], Operations: []
Exploring Operation: 15-1=14, Resulting Numbers: [38, 36, 14]
Generated Node #2: [38, 36, 14] from Operation: 15-1=14
Current State: 88:[38, 36, 14], Operations: ['15-1=14']
Exploring Operation: 38+36=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 38+36=74
Current State: 88:[14, 74], Operations: ['15-1=14', '38+36=74']
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
86,
30,
45
] | 50 | [
"24*45=1080",
"1080/30=36",
"86-36=50"
] | Current State: 50:[24, 86, 30, 45], Operations: []
Exploring Operation: 24*45=1080, Resulting Numbers: [86, 30, 1080]
Generated Node #2: [86, 30, 1080] from Operation: 24*45=1080
Current State: 50:[86, 30, 1080], Operations: ['24*45=1080']
Exploring Operation: 1080/30=36, Resulting Numbers: [86, 36]
Generated Node #3: [86, 36] from Operation: 1080/30=36
Current State: 50:[86, 36], Operations: ['24*45=1080', '1080/30=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
62,
83,
81,
31
] | 79 | [
"62*81=5022",
"5022/31=162",
"162-83=79"
] | Current State: 79:[62, 83, 81, 31], Operations: []
Exploring Operation: 62*81=5022, Resulting Numbers: [83, 31, 5022]
Generated Node #2: [83, 31, 5022] from Operation: 62*81=5022
Current State: 79:[83, 31, 5022], Operations: ['62*81=5022']
Exploring Operation: 5022/31=162, Resulting Numbers: [83, 162]
Generated Node #3: [83, 162] from Operation: 5022/31=162
Current State: 79:[83, 162], Operations: ['62*81=5022', '5022/31=162']
Exploring Operation: 162-83=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
63,
52,
54,
28
] | 15 | [
"63-52=11",
"54-28=26",
"26-11=15"
] | Current State: 15:[63, 52, 54, 28], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [54, 28, 11]
Generated Node #2: [54, 28, 11] from Operation: 63-52=11
Current State: 15:[54, 28, 11], Operations: ['63-52=11']
Exploring Operation: 54-28=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 54-28=26
Current State: 15:[11, 26], Operations: ['63-52=11', '54-28=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
61,
47,
43,
9
] | 97 | [
"47-43=4",
"9*4=36",
"61+36=97"
] | Current State: 97:[61, 47, 43, 9], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [61, 9, 4]
Generated Node #2: [61, 9, 4] from Operation: 47-43=4
Current State: 97:[61, 9, 4], Operations: ['47-43=4']
Exploring Operation: 9*4=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 9*4=36
Current State: 97:[61, 36], Operations: ['47-43=4', '9*4=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
54,
9,
91
] | 89 | [
"65-54=11",
"9+91=100",
"100-11=89"
] | Current State: 89:[65, 54, 9, 91], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [9, 91, 11]
Generated Node #2: [9, 91, 11] from Operation: 65-54=11
Current State: 89:[9, 91, 11], Operations: ['65-54=11']
Exploring Operation: 9+91=100, Resulting Numbers: [11, 100]
Generated Node #3: [11, 100] from Operation: 9+91=100
Current State: 89:[11, 100], Operations: ['65-54=11', '9+91=100']
Exploring Operation: 100-11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
47,
57,
75,
2
] | 38 | [
"47*2=94",
"57+75=132",
"132-94=38"
] | Current State: 38:[47, 57, 75, 2], Operations: []
Exploring Operation: 47*2=94, Resulting Numbers: [57, 75, 94]
Generated Node #2: [57, 75, 94] from Operation: 47*2=94
Current State: 38:[57, 75, 94], Operations: ['47*2=94']
Exploring Operation: 57+75=132, Resulting Numbers: [94, 132]
Generated Node #3: [94, 132] from Operation: 57+75=132
Current State: 38:[94, 132], Operations: ['47*2=94', '57+75=132']
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
22,
11,
82,
28
] | 52 | [
"22/11=2",
"82-28=54",
"54-2=52"
] | Current State: 52:[22, 11, 82, 28], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [82, 28, 2]
Generated Node #2: [82, 28, 2] from Operation: 22/11=2
Current State: 52:[82, 28, 2], Operations: ['22/11=2']
Exploring Operation: 82-28=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 82-28=54
Current State: 52:[2, 54], Operations: ['22/11=2', '82-28=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
36,
60,
77,
39
] | 51 | [
"39-36=3",
"77-60=17",
"3*17=51"
] | Current State: 51:[36, 60, 77, 39], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [60, 77, 3]
Generated Node #2: [60, 77, 3] from Operation: 39-36=3
Current State: 51:[60, 77, 3], Operations: ['39-36=3']
Exploring Operation: 77-60=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 77-60=17
Current State: 51:[3, 17], Operations: ['39-36=3', '77-60=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
81,
18,
72,
48
] | 46 | [
"81-72=9",
"18/9=2",
"48-2=46"
] | Current State: 46:[81, 18, 72, 48], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [18, 48, 9]
Generated Node #2: [18, 48, 9] from Operation: 81-72=9
Current State: 46:[18, 48, 9], Operations: ['81-72=9']
Exploring Operation: 18/9=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 18/9=2
Current State: 46:[48, 2], Operations: ['81-72=9', '18/9=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
65,
42,
69,
19
] | 67 | [
"65+19=84",
"84/42=2",
"69-2=67"
] | Current State: 67:[65, 42, 69, 19], Operations: []
Exploring Operation: 65+19=84, Resulting Numbers: [42, 69, 84]
Generated Node #2: [42, 69, 84] from Operation: 65+19=84
Current State: 67:[42, 69, 84], Operations: ['65+19=84']
Exploring Operation: 84/42=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 84/42=2
Current State: 67:[69, 2], Operations: ['65+19=84', '84/42=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
54,
32,
89,
50
] | 92 | [
"50-32=18",
"54/18=3",
"89+3=92"
] | Current State: 92:[54, 32, 89, 50], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [54, 89, 18]
Generated Node #2: [54, 89, 18] from Operation: 50-32=18
Current State: 92:[54, 89, 18], Operations: ['50-32=18']
Exploring Operation: 54/18=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 54/18=3
Current State: 92:[89, 3], Operations: ['50-32=18', '54/18=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
50,
87,
89,
11
] | 85 | [
"89+11=100",
"100/50=2",
"87-2=85"
] | Current State: 85:[50, 87, 89, 11], Operations: []
Exploring Operation: 89+11=100, Resulting Numbers: [50, 87, 100]
Generated Node #2: [50, 87, 100] from Operation: 89+11=100
Current State: 85:[50, 87, 100], Operations: ['89+11=100']
Exploring Operation: 100/50=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 100/50=2
Current State: 85:[87, 2], Operations: ['89+11=100', '100/50=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
76,
18,
36
] | 85 | [
"36-18=18",
"18/2=9",
"76+9=85"
] | Current State: 85:[2, 76, 18, 36], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [2, 76, 18]
Generated Node #2: [2, 76, 18] from Operation: 36-18=18
Current State: 85:[2, 76, 18], Operations: ['36-18=18']
Exploring Operation: 18/2=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 18/2=9
Current State: 85:[76, 9], Operations: ['36-18=18', '18/2=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
26,
3,
59,
60
] | 71 | [
"59-26=33",
"33/3=11",
"60+11=71"
] | Current State: 71:[26, 3, 59, 60], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [3, 60, 33]
Generated Node #2: [3, 60, 33] from Operation: 59-26=33
Current State: 71:[3, 60, 33], Operations: ['59-26=33']
Exploring Operation: 33/3=11, Resulting Numbers: [60, 11]
Generated Node #3: [60, 11] from Operation: 33/3=11
Current State: 71:[60, 11], Operations: ['59-26=33', '33/3=11']
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
37,
6,
18,
20
] | 33 | [
"37-6=31",
"20-18=2",
"31+2=33"
] | Current State: 33:[37, 6, 18, 20], Operations: []
Exploring Operation: 37-6=31, Resulting Numbers: [18, 20, 31]
Generated Node #2: [18, 20, 31] from Operation: 37-6=31
Current State: 33:[18, 20, 31], Operations: ['37-6=31']
Exploring Operation: 20-18=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 20-18=2
Current State: 33:[31, 2], Operations: ['37-6=31', '20-18=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
31,
18,
56,
46
] | 33 | [
"46-18=28",
"56/28=2",
"31+2=33"
] | Current State: 33:[31, 18, 56, 46], Operations: []
Exploring Operation: 46-18=28, Resulting Numbers: [31, 56, 28]
Generated Node #2: [31, 56, 28] from Operation: 46-18=28
Current State: 33:[31, 56, 28], Operations: ['46-18=28']
Exploring Operation: 56/28=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 56/28=2
Current State: 33:[31, 2], Operations: ['46-18=28', '56/28=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
32,
26,
47
] | 17 | [
"32-26=6",
"5*6=30",
"47-30=17"
] | Current State: 17:[5, 32, 26, 47], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [5, 47, 6]
Generated Node #2: [5, 47, 6] from Operation: 32-26=6
Current State: 17:[5, 47, 6], Operations: ['32-26=6']
Exploring Operation: 5*6=30, Resulting Numbers: [47, 30]
Generated Node #3: [47, 30] from Operation: 5*6=30
Current State: 17:[47, 30], Operations: ['32-26=6', '5*6=30']
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
26,
25,
19,
13
] | 66 | [
"26-19=7",
"13*7=91",
"91-25=66"
] | Current State: 66:[26, 25, 19, 13], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [25, 13, 7]
Generated Node #2: [25, 13, 7] from Operation: 26-19=7
Current State: 66:[25, 13, 7], Operations: ['26-19=7']
Exploring Operation: 13*7=91, Resulting Numbers: [25, 91]
Generated Node #3: [25, 91] from Operation: 13*7=91
Current State: 66:[25, 91], Operations: ['26-19=7', '13*7=91']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
92,
22,
39,
20
] | 51 | [
"92-22=70",
"39-20=19",
"70-19=51"
] | Current State: 51:[92, 22, 39, 20], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [39, 20, 70]
Generated Node #2: [39, 20, 70] from Operation: 92-22=70
Current State: 51:[39, 20, 70], Operations: ['92-22=70']
Exploring Operation: 39-20=19, Resulting Numbers: [70, 19]
Generated Node #3: [70, 19] from Operation: 39-20=19
Current State: 51:[70, 19], Operations: ['92-22=70', '39-20=19']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
69,
49,
82,
42
] | 63 | [
"69*49=3381",
"82*42=3444",
"3444-3381=63"
] | Current State: 63:[69, 49, 82, 42], Operations: []
Exploring Operation: 69*49=3381, Resulting Numbers: [82, 42, 3381]
Generated Node #2: [82, 42, 3381] from Operation: 69*49=3381
Current State: 63:[82, 42, 3381], Operations: ['69*49=3381']
Exploring Operation: 82*42=3444, Resulting Numbers: [3381, 3444]
Generated Node #3: [3381, 3444] from Operation: 82*42=3444
Current State: 63:[3381, 3444], Operations: ['69*49=3381', '82*42=3444']
Exploring Operation: 3444-3381=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
36,
41,
85,
64
] | 56 | [
"36+41=77",
"85-64=21",
"77-21=56"
] | Current State: 56:[36, 41, 85, 64], Operations: []
Exploring Operation: 36+41=77, Resulting Numbers: [85, 64, 77]
Generated Node #2: [85, 64, 77] from Operation: 36+41=77
Current State: 56:[85, 64, 77], Operations: ['36+41=77']
Exploring Operation: 85-64=21, Resulting Numbers: [77, 21]
Generated Node #3: [77, 21] from Operation: 85-64=21
Current State: 56:[77, 21], Operations: ['36+41=77', '85-64=21']
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
59,
16,
76,
81
] | 70 | [
"59+16=75",
"81-76=5",
"75-5=70"
] | Current State: 70:[59, 16, 76, 81], Operations: []
Exploring Operation: 59+16=75, Resulting Numbers: [76, 81, 75]
Generated Node #2: [76, 81, 75] from Operation: 59+16=75
Current State: 70:[76, 81, 75], Operations: ['59+16=75']
Exploring Operation: 81-76=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 81-76=5
Current State: 70:[75, 5], Operations: ['59+16=75', '81-76=5']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
82,
23,
84,
33
] | 89 | [
"84-82=2",
"33*2=66",
"23+66=89"
] | Current State: 89:[82, 23, 84, 33], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [23, 33, 2]
Generated Node #2: [23, 33, 2] from Operation: 84-82=2
Current State: 89:[23, 33, 2], Operations: ['84-82=2']
Exploring Operation: 33*2=66, Resulting Numbers: [23, 66]
Generated Node #3: [23, 66] from Operation: 33*2=66
Current State: 89:[23, 66], Operations: ['84-82=2', '33*2=66']
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
62,
74,
5,
45
] | 83 | [
"74-45=29",
"5*29=145",
"145-62=83"
] | Current State: 83:[62, 74, 5, 45], Operations: []
Exploring Operation: 74-45=29, Resulting Numbers: [62, 5, 29]
Generated Node #2: [62, 5, 29] from Operation: 74-45=29
Current State: 83:[62, 5, 29], Operations: ['74-45=29']
Exploring Operation: 5*29=145, Resulting Numbers: [62, 145]
Generated Node #3: [62, 145] from Operation: 5*29=145
Current State: 83:[62, 145], Operations: ['74-45=29', '5*29=145']
Exploring Operation: 145-62=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
89,
80,
66
] | 64 | [
"89-80=9",
"18/9=2",
"66-2=64"
] | Current State: 64:[18, 89, 80, 66], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [18, 66, 9]
Generated Node #2: [18, 66, 9] from Operation: 89-80=9
Current State: 64:[18, 66, 9], Operations: ['89-80=9']
Exploring Operation: 18/9=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 18/9=2
Current State: 64:[66, 2], Operations: ['89-80=9', '18/9=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
71,
81,
65,
3
] | 90 | [
"71+81=152",
"65-3=62",
"152-62=90"
] | Current State: 90:[71, 81, 65, 3], Operations: []
Exploring Operation: 71+81=152, Resulting Numbers: [65, 3, 152]
Generated Node #2: [65, 3, 152] from Operation: 71+81=152
Current State: 90:[65, 3, 152], Operations: ['71+81=152']
Exploring Operation: 65-3=62, Resulting Numbers: [152, 62]
Generated Node #3: [152, 62] from Operation: 65-3=62
Current State: 90:[152, 62], Operations: ['71+81=152', '65-3=62']
Exploring Operation: 152-62=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
18,
57,
37,
9
] | 27 | [
"37-18=19",
"57*9=513",
"513/19=27"
] | Current State: 27:[18, 57, 37, 9], Operations: []
Exploring Operation: 37-18=19, Resulting Numbers: [57, 9, 19]
Generated Node #2: [57, 9, 19] from Operation: 37-18=19
Current State: 27:[57, 9, 19], Operations: ['37-18=19']
Exploring Operation: 57*9=513, Resulting Numbers: [19, 513]
Generated Node #3: [19, 513] from Operation: 57*9=513
Current State: 27:[19, 513], Operations: ['37-18=19', '57*9=513']
Exploring Operation: 513/19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
67,
61,
79,
45
] | 28 | [
"67-61=6",
"79-45=34",
"34-6=28"
] | Current State: 28:[67, 61, 79, 45], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [79, 45, 6]
Generated Node #2: [79, 45, 6] from Operation: 67-61=6
Current State: 28:[79, 45, 6], Operations: ['67-61=6']
Exploring Operation: 79-45=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 79-45=34
Current State: 28:[6, 34], Operations: ['67-61=6', '79-45=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
8,
6,
62,
34
] | 72 | [
"62+34=96",
"96/8=12",
"6*12=72"
] | Current State: 72:[8, 6, 62, 34], Operations: []
Exploring Operation: 62+34=96, Resulting Numbers: [8, 6, 96]
Generated Node #2: [8, 6, 96] from Operation: 62+34=96
Current State: 72:[8, 6, 96], Operations: ['62+34=96']
Exploring Operation: 96/8=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 96/8=12
Current State: 72:[6, 12], Operations: ['62+34=96', '96/8=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
11,
64,
39
] | 97 | [
"11-5=6",
"64+39=103",
"103-6=97"
] | Current State: 97:[5, 11, 64, 39], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [64, 39, 6]
Generated Node #2: [64, 39, 6] from Operation: 11-5=6
Current State: 97:[64, 39, 6], Operations: ['11-5=6']
Exploring Operation: 64+39=103, Resulting Numbers: [6, 103]
Generated Node #3: [6, 103] from Operation: 64+39=103
Current State: 97:[6, 103], Operations: ['11-5=6', '64+39=103']
Exploring Operation: 103-6=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
1,
51,
41,
33
] | 58 | [
"51-1=50",
"41-33=8",
"50+8=58"
] | Current State: 58:[1, 51, 41, 33], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [41, 33, 50]
Generated Node #2: [41, 33, 50] from Operation: 51-1=50
Current State: 58:[41, 33, 50], Operations: ['51-1=50']
Exploring Operation: 41-33=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 41-33=8
Current State: 58:[50, 8], Operations: ['51-1=50', '41-33=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
5,
16,
65,
35
] | 19 | [
"16-5=11",
"65-35=30",
"30-11=19"
] | Current State: 19:[5, 16, 65, 35], Operations: []
Exploring Operation: 16-5=11, Resulting Numbers: [65, 35, 11]
Generated Node #2: [65, 35, 11] from Operation: 16-5=11
Current State: 19:[65, 35, 11], Operations: ['16-5=11']
Exploring Operation: 65-35=30, Resulting Numbers: [11, 30]
Generated Node #3: [11, 30] from Operation: 65-35=30
Current State: 19:[11, 30], Operations: ['16-5=11', '65-35=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
89,
8,
41,
32
] | 88 | [
"89+8=97",
"41-32=9",
"97-9=88"
] | Current State: 88:[89, 8, 41, 32], Operations: []
Exploring Operation: 89+8=97, Resulting Numbers: [41, 32, 97]
Generated Node #2: [41, 32, 97] from Operation: 89+8=97
Current State: 88:[41, 32, 97], Operations: ['89+8=97']
Exploring Operation: 41-32=9, Resulting Numbers: [97, 9]
Generated Node #3: [97, 9] from Operation: 41-32=9
Current State: 88:[97, 9], Operations: ['89+8=97', '41-32=9']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
21,
78,
82,
19
] | 10 | [
"21+19=40",
"82-78=4",
"40/4=10"
] | Current State: 10:[21, 78, 82, 19], Operations: []
Exploring Operation: 21+19=40, Resulting Numbers: [78, 82, 40]
Generated Node #2: [78, 82, 40] from Operation: 21+19=40
Current State: 10:[78, 82, 40], Operations: ['21+19=40']
Exploring Operation: 82-78=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 82-78=4
Current State: 10:[40, 4], Operations: ['21+19=40', '82-78=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
51,
2,
54,
17
] | 55 | [
"51/17=3",
"54-2=52",
"3+52=55"
] | Current State: 55:[51, 2, 54, 17], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [2, 54, 3]
Generated Node #2: [2, 54, 3] from Operation: 51/17=3
Current State: 55:[2, 54, 3], Operations: ['51/17=3']
Exploring Operation: 54-2=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 54-2=52
Current State: 55:[3, 52], Operations: ['51/17=3', '54-2=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
28,
58,
82
] | 13 | [
"58-28=30",
"82-30=52",
"52/4=13"
] | Current State: 13:[4, 28, 58, 82], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [4, 82, 30]
Generated Node #2: [4, 82, 30] from Operation: 58-28=30
Current State: 13:[4, 82, 30], Operations: ['58-28=30']
Exploring Operation: 82-30=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 82-30=52
Current State: 13:[4, 52], Operations: ['58-28=30', '82-30=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
60,
83,
16
] | 19 | [
"60/15=4",
"16*4=64",
"83-64=19"
] | Current State: 19:[15, 60, 83, 16], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [83, 16, 4]
Generated Node #2: [83, 16, 4] from Operation: 60/15=4
Current State: 19:[83, 16, 4], Operations: ['60/15=4']
Exploring Operation: 16*4=64, Resulting Numbers: [83, 64]
Generated Node #3: [83, 64] from Operation: 16*4=64
Current State: 19:[83, 64], Operations: ['60/15=4', '16*4=64']
Exploring Operation: 83-64=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
91,
85,
9,
75
] | 91 | [
"85-9=76",
"76-75=1",
"91*1=91"
] | Current State: 91:[91, 85, 9, 75], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [91, 75, 76]
Generated Node #2: [91, 75, 76] from Operation: 85-9=76
Current State: 91:[91, 75, 76], Operations: ['85-9=76']
Exploring Operation: 76-75=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 76-75=1
Current State: 91:[91, 1], Operations: ['85-9=76', '76-75=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
20,
30,
62
] | 38 | [
"62-5=57",
"20*57=1140",
"1140/30=38"
] | Current State: 38:[5, 20, 30, 62], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [20, 30, 57]
Generated Node #2: [20, 30, 57] from Operation: 62-5=57
Current State: 38:[20, 30, 57], Operations: ['62-5=57']
Exploring Operation: 20*57=1140, Resulting Numbers: [30, 1140]
Generated Node #3: [30, 1140] from Operation: 20*57=1140
Current State: 38:[30, 1140], Operations: ['62-5=57', '20*57=1140']
Exploring Operation: 1140/30=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
95,
96,
37,
53
] | 89 | [
"96-95=1",
"37+53=90",
"90-1=89"
] | Current State: 89:[95, 96, 37, 53], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [37, 53, 1]
Generated Node #2: [37, 53, 1] from Operation: 96-95=1
Current State: 89:[37, 53, 1], Operations: ['96-95=1']
Exploring Operation: 37+53=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 37+53=90
Current State: 89:[1, 90], Operations: ['96-95=1', '37+53=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
95,
31,
6,
27
] | 36 | [
"95+31=126",
"6*27=162",
"162-126=36"
] | Current State: 36:[95, 31, 6, 27], Operations: []
Exploring Operation: 95+31=126, Resulting Numbers: [6, 27, 126]
Generated Node #2: [6, 27, 126] from Operation: 95+31=126
Current State: 36:[6, 27, 126], Operations: ['95+31=126']
Exploring Operation: 6*27=162, Resulting Numbers: [126, 162]
Generated Node #3: [126, 162] from Operation: 6*27=162
Current State: 36:[126, 162], Operations: ['95+31=126', '6*27=162']
Exploring Operation: 162-126=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
48,
85,
84,
29
] | 77 | [
"48+29=77",
"85-84=1",
"77*1=77"
] | Current State: 77:[48, 85, 84, 29], Operations: []
Exploring Operation: 48+29=77, Resulting Numbers: [85, 84, 77]
Generated Node #2: [85, 84, 77] from Operation: 48+29=77
Current State: 77:[85, 84, 77], Operations: ['48+29=77']
Exploring Operation: 85-84=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 85-84=1
Current State: 77:[77, 1], Operations: ['48+29=77', '85-84=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
46,
79,
95,
3
] | 84 | [
"79-46=33",
"33/3=11",
"95-11=84"
] | Current State: 84:[46, 79, 95, 3], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [95, 3, 33]
Generated Node #2: [95, 3, 33] from Operation: 79-46=33
Current State: 84:[95, 3, 33], Operations: ['79-46=33']
Exploring Operation: 33/3=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 33/3=11
Current State: 84:[95, 11], Operations: ['79-46=33', '33/3=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
46,
11,
54,
31
] | 80 | [
"46+11=57",
"54-31=23",
"57+23=80"
] | Current State: 80:[46, 11, 54, 31], Operations: []
Exploring Operation: 46+11=57, Resulting Numbers: [54, 31, 57]
Generated Node #2: [54, 31, 57] from Operation: 46+11=57
Current State: 80:[54, 31, 57], Operations: ['46+11=57']
Exploring Operation: 54-31=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 54-31=23
Current State: 80:[57, 23], Operations: ['46+11=57', '54-31=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
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