nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
16,
29,
22,
31
] | 66 | [
"29-16=13",
"22+31=53",
"13+53=66"
] | Current State: 66:[16, 29, 22, 31], Operations: []
Exploring Operation: 29-16=13, Resulting Numbers: [22, 31, 13]
Generated Node #2: [22, 31, 13] from Operation: 29-16=13
Current State: 66:[22, 31, 13], Operations: ['29-16=13']
Exploring Operation: 22+31=53, Resulting Numbers: [13, 53]
Generated Node #3: [13, 53] from Operation: 22+31=53
Current State: 66:[13, 53], Operations: ['29-16=13', '22+31=53']
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
83,
77,
7,
98
] | 56 | [
"83-77=6",
"7*6=42",
"98-42=56"
] | Current State: 56:[83, 77, 7, 98], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [7, 98, 6]
Generated Node #2: [7, 98, 6] from Operation: 83-77=6
Current State: 56:[7, 98, 6], Operations: ['83-77=6']
Exploring Operation: 7*6=42, Resulting Numbers: [98, 42]
Generated Node #3: [98, 42] from Operation: 7*6=42
Current State: 56:[98, 42], Operations: ['83-77=6', '7*6=42']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
88,
20,
87,
95
] | 75 | [
"88-87=1",
"95-20=75",
"1*75=75"
] | Current State: 75:[88, 20, 87, 95], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [20, 95, 1]
Generated Node #2: [20, 95, 1] from Operation: 88-87=1
Current State: 75:[20, 95, 1], Operations: ['88-87=1']
Exploring Operation: 95-20=75, Resulting Numbers: [1, 75]
Generated Node #3: [1, 75] from Operation: 95-20=75
Current State: 75:[1, 75], Operations: ['88-87=1', '95-20=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
73,
4,
65,
94
] | 82 | [
"73+4=77",
"65+94=159",
"159-77=82"
] | Current State: 82:[73, 4, 65, 94], Operations: []
Exploring Operation: 73+4=77, Resulting Numbers: [65, 94, 77]
Generated Node #2: [65, 94, 77] from Operation: 73+4=77
Current State: 82:[65, 94, 77], Operations: ['73+4=77']
Exploring Operation: 65+94=159, Resulting Numbers: [77, 159]
Generated Node #3: [77, 159] from Operation: 65+94=159
Current State: 82:[77, 159], Operations: ['73+4=77', '65+94=159']
Exploring Operation: 159-77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
32,
8,
26,
30
] | 16 | [
"32+8=40",
"26+30=56",
"56-40=16"
] | Current State: 16:[32, 8, 26, 30], Operations: []
Exploring Operation: 32+8=40, Resulting Numbers: [26, 30, 40]
Generated Node #2: [26, 30, 40] from Operation: 32+8=40
Current State: 16:[26, 30, 40], Operations: ['32+8=40']
Exploring Operation: 26+30=56, Resulting Numbers: [40, 56]
Generated Node #3: [40, 56] from Operation: 26+30=56
Current State: 16:[40, 56], Operations: ['32+8=40', '26+30=56']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
19,
11,
70,
92
] | 14 | [
"19-11=8",
"92-70=22",
"22-8=14"
] | Current State: 14:[19, 11, 70, 92], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [70, 92, 8]
Generated Node #2: [70, 92, 8] from Operation: 19-11=8
Current State: 14:[70, 92, 8], Operations: ['19-11=8']
Exploring Operation: 92-70=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 92-70=22
Current State: 14:[8, 22], Operations: ['19-11=8', '92-70=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
39,
68,
38,
41
] | 98 | [
"41-39=2",
"68*2=136",
"136-38=98"
] | Current State: 98:[39, 68, 38, 41], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [68, 38, 2]
Generated Node #2: [68, 38, 2] from Operation: 41-39=2
Current State: 98:[68, 38, 2], Operations: ['41-39=2']
Exploring Operation: 68*2=136, Resulting Numbers: [38, 136]
Generated Node #3: [38, 136] from Operation: 68*2=136
Current State: 98:[38, 136], Operations: ['41-39=2', '68*2=136']
Exploring Operation: 136-38=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
29,
16,
20,
29
] | 54 | [
"29+16=45",
"29-20=9",
"45+9=54"
] | Current State: 54:[29, 16, 20, 29], Operations: []
Exploring Operation: 29+16=45, Resulting Numbers: [20, 45]
Generated Node #2: [20, 45] from Operation: 29+16=45
Current State: 54:[20, 45], Operations: ['29+16=45']
Exploring Operation: 29-20=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 29-20=9
Current State: 54:[45, 9], Operations: ['29+16=45', '29-20=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
8,
49,
26,
70
] | 85 | [
"49-8=41",
"70-26=44",
"41+44=85"
] | Current State: 85:[8, 49, 26, 70], Operations: []
Exploring Operation: 49-8=41, Resulting Numbers: [26, 70, 41]
Generated Node #2: [26, 70, 41] from Operation: 49-8=41
Current State: 85:[26, 70, 41], Operations: ['49-8=41']
Exploring Operation: 70-26=44, Resulting Numbers: [41, 44]
Generated Node #3: [41, 44] from Operation: 70-26=44
Current State: 85:[41, 44], Operations: ['49-8=41', '70-26=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
44,
8,
37,
48
] | 69 | [
"48-44=4",
"8*4=32",
"37+32=69"
] | Current State: 69:[44, 8, 37, 48], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [8, 37, 4]
Generated Node #2: [8, 37, 4] from Operation: 48-44=4
Current State: 69:[8, 37, 4], Operations: ['48-44=4']
Exploring Operation: 8*4=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 8*4=32
Current State: 69:[37, 32], Operations: ['48-44=4', '8*4=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
45,
99,
33,
74
] | 61 | [
"45*99=4455",
"4455/33=135",
"135-74=61"
] | Current State: 61:[45, 99, 33, 74], Operations: []
Exploring Operation: 45*99=4455, Resulting Numbers: [33, 74, 4455]
Generated Node #2: [33, 74, 4455] from Operation: 45*99=4455
Current State: 61:[33, 74, 4455], Operations: ['45*99=4455']
Exploring Operation: 4455/33=135, Resulting Numbers: [74, 135]
Generated Node #3: [74, 135] from Operation: 4455/33=135
Current State: 61:[74, 135], Operations: ['45*99=4455', '4455/33=135']
Exploring Operation: 135-74=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
33,
1,
45,
83
] | 70 | [
"33-1=32",
"83-45=38",
"32+38=70"
] | Current State: 70:[33, 1, 45, 83], Operations: []
Exploring Operation: 33-1=32, Resulting Numbers: [45, 83, 32]
Generated Node #2: [45, 83, 32] from Operation: 33-1=32
Current State: 70:[45, 83, 32], Operations: ['33-1=32']
Exploring Operation: 83-45=38, Resulting Numbers: [32, 38]
Generated Node #3: [32, 38] from Operation: 83-45=38
Current State: 70:[32, 38], Operations: ['33-1=32', '83-45=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
35,
3,
42,
87
] | 60 | [
"35*3=105",
"87-42=45",
"105-45=60"
] | Current State: 60:[35, 3, 42, 87], Operations: []
Exploring Operation: 35*3=105, Resulting Numbers: [42, 87, 105]
Generated Node #2: [42, 87, 105] from Operation: 35*3=105
Current State: 60:[42, 87, 105], Operations: ['35*3=105']
Exploring Operation: 87-42=45, Resulting Numbers: [105, 45]
Generated Node #3: [105, 45] from Operation: 87-42=45
Current State: 60:[105, 45], Operations: ['35*3=105', '87-42=45']
Exploring Operation: 105-45=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
49,
21,
46,
43
] | 80 | [
"49-43=6",
"21*6=126",
"126-46=80"
] | Current State: 80:[49, 21, 46, 43], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [21, 46, 6]
Generated Node #2: [21, 46, 6] from Operation: 49-43=6
Current State: 80:[21, 46, 6], Operations: ['49-43=6']
Exploring Operation: 21*6=126, Resulting Numbers: [46, 126]
Generated Node #3: [46, 126] from Operation: 21*6=126
Current State: 80:[46, 126], Operations: ['49-43=6', '21*6=126']
Exploring Operation: 126-46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
63,
46,
42
] | 89 | [
"46*42=1932",
"1932-63=1869",
"1869/21=89"
] | Current State: 89:[21, 63, 46, 42], Operations: []
Exploring Operation: 46*42=1932, Resulting Numbers: [21, 63, 1932]
Generated Node #2: [21, 63, 1932] from Operation: 46*42=1932
Current State: 89:[21, 63, 1932], Operations: ['46*42=1932']
Exploring Operation: 1932-63=1869, Resulting Numbers: [21, 1869]
Generated Node #3: [21, 1869] from Operation: 1932-63=1869
Current State: 89:[21, 1869], Operations: ['46*42=1932', '1932-63=1869']
Exploring Operation: 1869/21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
67,
75,
99,
72
] | 90 | [
"75-67=8",
"72/8=9",
"99-9=90"
] | Current State: 90:[67, 75, 99, 72], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [99, 72, 8]
Generated Node #2: [99, 72, 8] from Operation: 75-67=8
Current State: 90:[99, 72, 8], Operations: ['75-67=8']
Exploring Operation: 72/8=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 72/8=9
Current State: 90:[99, 9], Operations: ['75-67=8', '72/8=9']
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
72,
11,
47,
48
] | 84 | [
"72+11=83",
"48-47=1",
"83+1=84"
] | Current State: 84:[72, 11, 47, 48], Operations: []
Exploring Operation: 72+11=83, Resulting Numbers: [47, 48, 83]
Generated Node #2: [47, 48, 83] from Operation: 72+11=83
Current State: 84:[47, 48, 83], Operations: ['72+11=83']
Exploring Operation: 48-47=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 48-47=1
Current State: 84:[83, 1], Operations: ['72+11=83', '48-47=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
86,
97,
97
] | 68 | [
"97-86=11",
"15*11=165",
"165-97=68"
] | Current State: 68:[15, 86, 97, 97], Operations: []
Exploring Operation: 97-86=11, Resulting Numbers: [15, 11]
Generated Node #2: [15, 11] from Operation: 97-86=11
Current State: 68:[15, 11], Operations: ['97-86=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,68 equal: Goal Reached
Exploring Operation: 165-97=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
12,
2,
31
] | 14 | [
"12-9=3",
"31-3=28",
"28/2=14"
] | Current State: 14:[9, 12, 2, 31], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [2, 31, 3]
Generated Node #2: [2, 31, 3] from Operation: 12-9=3
Current State: 14:[2, 31, 3], Operations: ['12-9=3']
Exploring Operation: 31-3=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 31-3=28
Current State: 14:[2, 28], Operations: ['12-9=3', '31-3=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
4,
28,
51
] | 21 | [
"92+28=120",
"120/4=30",
"51-30=21"
] | Current State: 21:[92, 4, 28, 51], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [4, 51, 120]
Generated Node #2: [4, 51, 120] from Operation: 92+28=120
Current State: 21:[4, 51, 120], Operations: ['92+28=120']
Exploring Operation: 120/4=30, Resulting Numbers: [51, 30]
Generated Node #3: [51, 30] from Operation: 120/4=30
Current State: 21:[51, 30], Operations: ['92+28=120', '120/4=30']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
73,
49,
71,
77
] | 30 | [
"73-49=24",
"77-71=6",
"24+6=30"
] | Current State: 30:[73, 49, 71, 77], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [71, 77, 24]
Generated Node #2: [71, 77, 24] from Operation: 73-49=24
Current State: 30:[71, 77, 24], Operations: ['73-49=24']
Exploring Operation: 77-71=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 77-71=6
Current State: 30:[24, 6], Operations: ['73-49=24', '77-71=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
62,
75,
21,
71
] | 45 | [
"62+75=137",
"21+71=92",
"137-92=45"
] | Current State: 45:[62, 75, 21, 71], Operations: []
Exploring Operation: 62+75=137, Resulting Numbers: [21, 71, 137]
Generated Node #2: [21, 71, 137] from Operation: 62+75=137
Current State: 45:[21, 71, 137], Operations: ['62+75=137']
Exploring Operation: 21+71=92, Resulting Numbers: [137, 92]
Generated Node #3: [137, 92] from Operation: 21+71=92
Current State: 45:[137, 92], Operations: ['62+75=137', '21+71=92']
Exploring Operation: 137-92=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
73,
50,
41
] | 92 | [
"28+73=101",
"50-41=9",
"101-9=92"
] | Current State: 92:[28, 73, 50, 41], Operations: []
Exploring Operation: 28+73=101, Resulting Numbers: [50, 41, 101]
Generated Node #2: [50, 41, 101] from Operation: 28+73=101
Current State: 92:[50, 41, 101], Operations: ['28+73=101']
Exploring Operation: 50-41=9, Resulting Numbers: [101, 9]
Generated Node #3: [101, 9] from Operation: 50-41=9
Current State: 92:[101, 9], Operations: ['28+73=101', '50-41=9']
Exploring Operation: 101-9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
86,
9,
99,
43
] | 81 | [
"86*9=774",
"774/43=18",
"99-18=81"
] | Current State: 81:[86, 9, 99, 43], Operations: []
Exploring Operation: 86*9=774, Resulting Numbers: [99, 43, 774]
Generated Node #2: [99, 43, 774] from Operation: 86*9=774
Current State: 81:[99, 43, 774], Operations: ['86*9=774']
Exploring Operation: 774/43=18, Resulting Numbers: [99, 18]
Generated Node #3: [99, 18] from Operation: 774/43=18
Current State: 81:[99, 18], Operations: ['86*9=774', '774/43=18']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
99,
11,
7
] | 80 | [
"99-37=62",
"11+7=18",
"62+18=80"
] | Current State: 80:[37, 99, 11, 7], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [11, 7, 62]
Generated Node #2: [11, 7, 62] from Operation: 99-37=62
Current State: 80:[11, 7, 62], Operations: ['99-37=62']
Exploring Operation: 11+7=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 11+7=18
Current State: 80:[62, 18], Operations: ['99-37=62', '11+7=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
24,
59,
2,
50
] | 96 | [
"24+50=74",
"74/2=37",
"59+37=96"
] | Current State: 96:[24, 59, 2, 50], Operations: []
Exploring Operation: 24+50=74, Resulting Numbers: [59, 2, 74]
Generated Node #2: [59, 2, 74] from Operation: 24+50=74
Current State: 96:[59, 2, 74], Operations: ['24+50=74']
Exploring Operation: 74/2=37, Resulting Numbers: [59, 37]
Generated Node #3: [59, 37] from Operation: 74/2=37
Current State: 96:[59, 37], Operations: ['24+50=74', '74/2=37']
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
80,
18,
5,
26
] | 52 | [
"80/5=16",
"18-16=2",
"26*2=52"
] | Current State: 52:[80, 18, 5, 26], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [18, 26, 16]
Generated Node #2: [18, 26, 16] from Operation: 80/5=16
Current State: 52:[18, 26, 16], Operations: ['80/5=16']
Exploring Operation: 18-16=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 18-16=2
Current State: 52:[26, 2], Operations: ['80/5=16', '18-16=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
16,
90,
52,
40
] | 94 | [
"16+90=106",
"52-40=12",
"106-12=94"
] | Current State: 94:[16, 90, 52, 40], Operations: []
Exploring Operation: 16+90=106, Resulting Numbers: [52, 40, 106]
Generated Node #2: [52, 40, 106] from Operation: 16+90=106
Current State: 94:[52, 40, 106], Operations: ['16+90=106']
Exploring Operation: 52-40=12, Resulting Numbers: [106, 12]
Generated Node #3: [106, 12] from Operation: 52-40=12
Current State: 94:[106, 12], Operations: ['16+90=106', '52-40=12']
Exploring Operation: 106-12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
34,
23,
57,
88
] | 49 | [
"34-23=11",
"88/11=8",
"57-8=49"
] | Current State: 49:[34, 23, 57, 88], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [57, 88, 11]
Generated Node #2: [57, 88, 11] from Operation: 34-23=11
Current State: 49:[57, 88, 11], Operations: ['34-23=11']
Exploring Operation: 88/11=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 88/11=8
Current State: 49:[57, 8], Operations: ['34-23=11', '88/11=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
57,
78,
46,
3
] | 45 | [
"57-46=11",
"3*11=33",
"78-33=45"
] | Current State: 45:[57, 78, 46, 3], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [78, 3, 11]
Generated Node #2: [78, 3, 11] from Operation: 57-46=11
Current State: 45:[78, 3, 11], Operations: ['57-46=11']
Exploring Operation: 3*11=33, Resulting Numbers: [78, 33]
Generated Node #3: [78, 33] from Operation: 3*11=33
Current State: 45:[78, 33], Operations: ['57-46=11', '3*11=33']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
36,
51,
2,
28
] | 49 | [
"36*2=72",
"51-28=23",
"72-23=49"
] | Current State: 49:[36, 51, 2, 28], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [51, 28, 72]
Generated Node #2: [51, 28, 72] from Operation: 36*2=72
Current State: 49:[51, 28, 72], Operations: ['36*2=72']
Exploring Operation: 51-28=23, Resulting Numbers: [72, 23]
Generated Node #3: [72, 23] from Operation: 51-28=23
Current State: 49:[72, 23], Operations: ['36*2=72', '51-28=23']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
7,
86,
80,
17
] | 78 | [
"17-7=10",
"80/10=8",
"86-8=78"
] | Current State: 78:[7, 86, 80, 17], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [86, 80, 10]
Generated Node #2: [86, 80, 10] from Operation: 17-7=10
Current State: 78:[86, 80, 10], Operations: ['17-7=10']
Exploring Operation: 80/10=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 80/10=8
Current State: 78:[86, 8], Operations: ['17-7=10', '80/10=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
73,
8,
71,
23
] | 19 | [
"73-71=2",
"8/2=4",
"23-4=19"
] | Current State: 19:[73, 8, 71, 23], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [8, 23, 2]
Generated Node #2: [8, 23, 2] from Operation: 73-71=2
Current State: 19:[8, 23, 2], Operations: ['73-71=2']
Exploring Operation: 8/2=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 8/2=4
Current State: 19:[23, 4], Operations: ['73-71=2', '8/2=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
91,
13,
2
] | 85 | [
"25-13=12",
"12/2=6",
"91-6=85"
] | Current State: 85:[25, 91, 13, 2], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [91, 2, 12]
Generated Node #2: [91, 2, 12] from Operation: 25-13=12
Current State: 85:[91, 2, 12], Operations: ['25-13=12']
Exploring Operation: 12/2=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 12/2=6
Current State: 85:[91, 6], Operations: ['25-13=12', '12/2=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
50,
22,
8,
92
] | 20 | [
"8+92=100",
"100/50=2",
"22-2=20"
] | Current State: 20:[50, 22, 8, 92], Operations: []
Exploring Operation: 8+92=100, Resulting Numbers: [50, 22, 100]
Generated Node #2: [50, 22, 100] from Operation: 8+92=100
Current State: 20:[50, 22, 100], Operations: ['8+92=100']
Exploring Operation: 100/50=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 100/50=2
Current State: 20:[22, 2], Operations: ['8+92=100', '100/50=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
52,
31,
27,
38
] | 51 | [
"31-27=4",
"52/4=13",
"38+13=51"
] | Current State: 51:[52, 31, 27, 38], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [52, 38, 4]
Generated Node #2: [52, 38, 4] from Operation: 31-27=4
Current State: 51:[52, 38, 4], Operations: ['31-27=4']
Exploring Operation: 52/4=13, Resulting Numbers: [38, 13]
Generated Node #3: [38, 13] from Operation: 52/4=13
Current State: 51:[38, 13], Operations: ['31-27=4', '52/4=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
49,
16,
61,
35
] | 63 | [
"49-16=33",
"61+35=96",
"96-33=63"
] | Current State: 63:[49, 16, 61, 35], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [61, 35, 33]
Generated Node #2: [61, 35, 33] from Operation: 49-16=33
Current State: 63:[61, 35, 33], Operations: ['49-16=33']
Exploring Operation: 61+35=96, Resulting Numbers: [33, 96]
Generated Node #3: [33, 96] from Operation: 61+35=96
Current State: 63:[33, 96], Operations: ['49-16=33', '61+35=96']
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
22,
71,
39,
22
] | 39 | [
"22-22=0",
"71*0=0",
"39+0=39"
] | Current State: 39:[22, 71, 39, 22], Operations: []
Exploring Operation: 22-22=0, Resulting Numbers: [71, 39, 0]
Generated Node #2: [71, 39, 0] from Operation: 22-22=0
Current State: 39:[71, 39, 0], Operations: ['22-22=0']
Exploring Operation: 71*0=0, Resulting Numbers: [39, 0]
Generated Node #3: [39, 0] from Operation: 71*0=0
Current State: 39:[39, 0], Operations: ['22-22=0', '71*0=0']
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
52,
24,
84,
32
] | 88 | [
"52-24=28",
"84+32=116",
"116-28=88"
] | Current State: 88:[52, 24, 84, 32], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [84, 32, 28]
Generated Node #2: [84, 32, 28] from Operation: 52-24=28
Current State: 88:[84, 32, 28], Operations: ['52-24=28']
Exploring Operation: 84+32=116, Resulting Numbers: [28, 116]
Generated Node #3: [28, 116] from Operation: 84+32=116
Current State: 88:[28, 116], Operations: ['52-24=28', '84+32=116']
Exploring Operation: 116-28=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
60,
87,
80,
16
] | 75 | [
"60*16=960",
"960/80=12",
"87-12=75"
] | Current State: 75:[60, 87, 80, 16], Operations: []
Exploring Operation: 60*16=960, Resulting Numbers: [87, 80, 960]
Generated Node #2: [87, 80, 960] from Operation: 60*16=960
Current State: 75:[87, 80, 960], Operations: ['60*16=960']
Exploring Operation: 960/80=12, Resulting Numbers: [87, 12]
Generated Node #3: [87, 12] from Operation: 960/80=12
Current State: 75:[87, 12], Operations: ['60*16=960', '960/80=12']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
10,
92,
7,
99
] | 77 | [
"10*7=70",
"99-92=7",
"70+7=77"
] | Current State: 77:[10, 92, 7, 99], Operations: []
Exploring Operation: 10*7=70, Resulting Numbers: [92, 99, 70]
Generated Node #2: [92, 99, 70] from Operation: 10*7=70
Current State: 77:[92, 99, 70], Operations: ['10*7=70']
Exploring Operation: 99-92=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 99-92=7
Current State: 77:[70, 7], Operations: ['10*7=70', '99-92=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
69,
23,
48,
28
] | 23 | [
"69/23=3",
"48-28=20",
"3+20=23"
] | Current State: 23:[69, 23, 48, 28], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [48, 28, 3]
Generated Node #2: [48, 28, 3] from Operation: 69/23=3
Current State: 23:[48, 28, 3], Operations: ['69/23=3']
Exploring Operation: 48-28=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 48-28=20
Current State: 23:[3, 20], Operations: ['69/23=3', '48-28=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
78,
29,
46
] | 12 | [
"78-29=49",
"49-46=3",
"4*3=12"
] | Current State: 12:[4, 78, 29, 46], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [4, 46, 49]
Generated Node #2: [4, 46, 49] from Operation: 78-29=49
Current State: 12:[4, 46, 49], Operations: ['78-29=49']
Exploring Operation: 49-46=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 49-46=3
Current State: 12:[4, 3], Operations: ['78-29=49', '49-46=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
33,
35,
98,
32
] | 68 | [
"35-33=2",
"98-32=66",
"2+66=68"
] | Current State: 68:[33, 35, 98, 32], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [98, 32, 2]
Generated Node #2: [98, 32, 2] from Operation: 35-33=2
Current State: 68:[98, 32, 2], Operations: ['35-33=2']
Exploring Operation: 98-32=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 98-32=66
Current State: 68:[2, 66], Operations: ['35-33=2', '98-32=66']
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
30,
60,
85
] | 43 | [
"1+85=86",
"60/30=2",
"86/2=43"
] | Current State: 43:[1, 30, 60, 85], Operations: []
Exploring Operation: 1+85=86, Resulting Numbers: [30, 60, 86]
Generated Node #2: [30, 60, 86] from Operation: 1+85=86
Current State: 43:[30, 60, 86], Operations: ['1+85=86']
Exploring Operation: 60/30=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 60/30=2
Current State: 43:[86, 2], Operations: ['1+85=86', '60/30=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
63,
88,
3
] | 93 | [
"88-36=52",
"3*52=156",
"156-63=93"
] | Current State: 93:[36, 63, 88, 3], Operations: []
Exploring Operation: 88-36=52, Resulting Numbers: [63, 3, 52]
Generated Node #2: [63, 3, 52] from Operation: 88-36=52
Current State: 93:[63, 3, 52], Operations: ['88-36=52']
Exploring Operation: 3*52=156, Resulting Numbers: [63, 156]
Generated Node #3: [63, 156] from Operation: 3*52=156
Current State: 93:[63, 156], Operations: ['88-36=52', '3*52=156']
Exploring Operation: 156-63=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
15,
27,
23,
73
] | 62 | [
"27-15=12",
"73-23=50",
"12+50=62"
] | Current State: 62:[15, 27, 23, 73], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [23, 73, 12]
Generated Node #2: [23, 73, 12] from Operation: 27-15=12
Current State: 62:[23, 73, 12], Operations: ['27-15=12']
Exploring Operation: 73-23=50, Resulting Numbers: [12, 50]
Generated Node #3: [12, 50] from Operation: 73-23=50
Current State: 62:[12, 50], Operations: ['27-15=12', '73-23=50']
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
87,
50,
96,
6
] | 75 | [
"96-87=9",
"50*9=450",
"450/6=75"
] | Current State: 75:[87, 50, 96, 6], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [50, 6, 9]
Generated Node #2: [50, 6, 9] from Operation: 96-87=9
Current State: 75:[50, 6, 9], Operations: ['96-87=9']
Exploring Operation: 50*9=450, Resulting Numbers: [6, 450]
Generated Node #3: [6, 450] from Operation: 50*9=450
Current State: 75:[6, 450], Operations: ['96-87=9', '50*9=450']
Exploring Operation: 450/6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
67,
13,
60,
90
] | 15 | [
"67-13=54",
"60-54=6",
"90/6=15"
] | Current State: 15:[67, 13, 60, 90], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [60, 90, 54]
Generated Node #2: [60, 90, 54] from Operation: 67-13=54
Current State: 15:[60, 90, 54], Operations: ['67-13=54']
Exploring Operation: 60-54=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 60-54=6
Current State: 15:[90, 6], Operations: ['67-13=54', '60-54=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
92,
55,
52
] | 20 | [
"92-69=23",
"55-52=3",
"23-3=20"
] | Current State: 20:[69, 92, 55, 52], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [55, 52, 23]
Generated Node #2: [55, 52, 23] from Operation: 92-69=23
Current State: 20:[55, 52, 23], Operations: ['92-69=23']
Exploring Operation: 55-52=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 55-52=3
Current State: 20:[23, 3], Operations: ['92-69=23', '55-52=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
72,
78,
85,
51
] | 10 | [
"78-72=6",
"85*6=510",
"510/51=10"
] | Current State: 10:[72, 78, 85, 51], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [85, 51, 6]
Generated Node #2: [85, 51, 6] from Operation: 78-72=6
Current State: 10:[85, 51, 6], Operations: ['78-72=6']
Exploring Operation: 85*6=510, Resulting Numbers: [51, 510]
Generated Node #3: [51, 510] from Operation: 85*6=510
Current State: 10:[51, 510], Operations: ['78-72=6', '85*6=510']
Exploring Operation: 510/51=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
25,
19,
10,
66
] | 11 | [
"25+19=44",
"66+44=110",
"110/10=11"
] | Current State: 11:[25, 19, 10, 66], Operations: []
Exploring Operation: 25+19=44, Resulting Numbers: [10, 66, 44]
Generated Node #2: [10, 66, 44] from Operation: 25+19=44
Current State: 11:[10, 66, 44], Operations: ['25+19=44']
Exploring Operation: 66+44=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 66+44=110
Current State: 11:[10, 110], Operations: ['25+19=44', '66+44=110']
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
15,
74,
78,
51
] | 70 | [
"74-15=59",
"78+51=129",
"129-59=70"
] | Current State: 70:[15, 74, 78, 51], Operations: []
Exploring Operation: 74-15=59, Resulting Numbers: [78, 51, 59]
Generated Node #2: [78, 51, 59] from Operation: 74-15=59
Current State: 70:[78, 51, 59], Operations: ['74-15=59']
Exploring Operation: 78+51=129, Resulting Numbers: [59, 129]
Generated Node #3: [59, 129] from Operation: 78+51=129
Current State: 70:[59, 129], Operations: ['74-15=59', '78+51=129']
Exploring Operation: 129-59=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
42,
2,
21,
41
] | 64 | [
"42+2=44",
"41-21=20",
"44+20=64"
] | Current State: 64:[42, 2, 21, 41], Operations: []
Exploring Operation: 42+2=44, Resulting Numbers: [21, 41, 44]
Generated Node #2: [21, 41, 44] from Operation: 42+2=44
Current State: 64:[21, 41, 44], Operations: ['42+2=44']
Exploring Operation: 41-21=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 41-21=20
Current State: 64:[44, 20], Operations: ['42+2=44', '41-21=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
94,
96,
9,
52
] | 63 | [
"96-94=2",
"9+52=61",
"2+61=63"
] | Current State: 63:[94, 96, 9, 52], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [9, 52, 2]
Generated Node #2: [9, 52, 2] from Operation: 96-94=2
Current State: 63:[9, 52, 2], Operations: ['96-94=2']
Exploring Operation: 9+52=61, Resulting Numbers: [2, 61]
Generated Node #3: [2, 61] from Operation: 9+52=61
Current State: 63:[2, 61], Operations: ['96-94=2', '9+52=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
14,
36,
38
] | 38 | [
"26+14=40",
"38-36=2",
"40-2=38"
] | Current State: 38:[26, 14, 36, 38], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [36, 38, 40]
Generated Node #2: [36, 38, 40] from Operation: 26+14=40
Current State: 38:[36, 38, 40], Operations: ['26+14=40']
Exploring Operation: 38-36=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 38-36=2
Current State: 38:[40, 2], Operations: ['26+14=40', '38-36=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
43,
45,
99,
87
] | 76 | [
"43+45=88",
"99-87=12",
"88-12=76"
] | Current State: 76:[43, 45, 99, 87], Operations: []
Exploring Operation: 43+45=88, Resulting Numbers: [99, 87, 88]
Generated Node #2: [99, 87, 88] from Operation: 43+45=88
Current State: 76:[99, 87, 88], Operations: ['43+45=88']
Exploring Operation: 99-87=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 99-87=12
Current State: 76:[88, 12], Operations: ['43+45=88', '99-87=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
48,
84,
80,
25
] | 13 | [
"84-80=4",
"48/4=12",
"25-12=13"
] | Current State: 13:[48, 84, 80, 25], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [48, 25, 4]
Generated Node #2: [48, 25, 4] from Operation: 84-80=4
Current State: 13:[48, 25, 4], Operations: ['84-80=4']
Exploring Operation: 48/4=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 48/4=12
Current State: 13:[25, 12], Operations: ['84-80=4', '48/4=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
78,
74,
13,
5
] | 22 | [
"78-74=4",
"13+5=18",
"4+18=22"
] | Current State: 22:[78, 74, 13, 5], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [13, 5, 4]
Generated Node #2: [13, 5, 4] from Operation: 78-74=4
Current State: 22:[13, 5, 4], Operations: ['78-74=4']
Exploring Operation: 13+5=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 13+5=18
Current State: 22:[4, 18], Operations: ['78-74=4', '13+5=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
90,
5,
93
] | 45 | [
"90-47=43",
"93-5=88",
"88-43=45"
] | Current State: 45:[47, 90, 5, 93], Operations: []
Exploring Operation: 90-47=43, Resulting Numbers: [5, 93, 43]
Generated Node #2: [5, 93, 43] from Operation: 90-47=43
Current State: 45:[5, 93, 43], Operations: ['90-47=43']
Exploring Operation: 93-5=88, Resulting Numbers: [43, 88]
Generated Node #3: [43, 88] from Operation: 93-5=88
Current State: 45:[43, 88], Operations: ['90-47=43', '93-5=88']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
16,
22,
52
] | 13 | [
"10+16=26",
"26-22=4",
"52/4=13"
] | Current State: 13:[10, 16, 22, 52], Operations: []
Exploring Operation: 10+16=26, Resulting Numbers: [22, 52, 26]
Generated Node #2: [22, 52, 26] from Operation: 10+16=26
Current State: 13:[22, 52, 26], Operations: ['10+16=26']
Exploring Operation: 26-22=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 26-22=4
Current State: 13:[52, 4], Operations: ['10+16=26', '26-22=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
74,
12,
53
] | 10 | [
"74+12=86",
"86/2=43",
"53-43=10"
] | Current State: 10:[2, 74, 12, 53], Operations: []
Exploring Operation: 74+12=86, Resulting Numbers: [2, 53, 86]
Generated Node #2: [2, 53, 86] from Operation: 74+12=86
Current State: 10:[2, 53, 86], Operations: ['74+12=86']
Exploring Operation: 86/2=43, Resulting Numbers: [53, 43]
Generated Node #3: [53, 43] from Operation: 86/2=43
Current State: 10:[53, 43], Operations: ['74+12=86', '86/2=43']
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
57,
7,
2,
70
] | 51 | [
"57*2=114",
"70-7=63",
"114-63=51"
] | Current State: 51:[57, 7, 2, 70], Operations: []
Exploring Operation: 57*2=114, Resulting Numbers: [7, 70, 114]
Generated Node #2: [7, 70, 114] from Operation: 57*2=114
Current State: 51:[7, 70, 114], Operations: ['57*2=114']
Exploring Operation: 70-7=63, Resulting Numbers: [114, 63]
Generated Node #3: [114, 63] from Operation: 70-7=63
Current State: 51:[114, 63], Operations: ['57*2=114', '70-7=63']
Exploring Operation: 114-63=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
78,
22,
12,
36
] | 55 | [
"78+12=90",
"22*90=1980",
"1980/36=55"
] | Current State: 55:[78, 22, 12, 36], Operations: []
Exploring Operation: 78+12=90, Resulting Numbers: [22, 36, 90]
Generated Node #2: [22, 36, 90] from Operation: 78+12=90
Current State: 55:[22, 36, 90], Operations: ['78+12=90']
Exploring Operation: 22*90=1980, Resulting Numbers: [36, 1980]
Generated Node #3: [36, 1980] from Operation: 22*90=1980
Current State: 55:[36, 1980], Operations: ['78+12=90', '22*90=1980']
Exploring Operation: 1980/36=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
50,
54,
45
] | 13 | [
"54/3=18",
"50-45=5",
"18-5=13"
] | Current State: 13:[3, 50, 54, 45], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [50, 45, 18]
Generated Node #2: [50, 45, 18] from Operation: 54/3=18
Current State: 13:[50, 45, 18], Operations: ['54/3=18']
Exploring Operation: 50-45=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 50-45=5
Current State: 13:[18, 5], Operations: ['54/3=18', '50-45=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
10,
15,
34,
85
] | 51 | [
"15-10=5",
"85/5=17",
"34+17=51"
] | Current State: 51:[10, 15, 34, 85], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [34, 85, 5]
Generated Node #2: [34, 85, 5] from Operation: 15-10=5
Current State: 51:[34, 85, 5], Operations: ['15-10=5']
Exploring Operation: 85/5=17, Resulting Numbers: [34, 17]
Generated Node #3: [34, 17] from Operation: 85/5=17
Current State: 51:[34, 17], Operations: ['15-10=5', '85/5=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
19,
27,
25
] | 81 | [
"10+19=29",
"27+25=52",
"29+52=81"
] | Current State: 81:[10, 19, 27, 25], Operations: []
Exploring Operation: 10+19=29, Resulting Numbers: [27, 25, 29]
Generated Node #2: [27, 25, 29] from Operation: 10+19=29
Current State: 81:[27, 25, 29], Operations: ['10+19=29']
Exploring Operation: 27+25=52, Resulting Numbers: [29, 52]
Generated Node #3: [29, 52] from Operation: 27+25=52
Current State: 81:[29, 52], Operations: ['10+19=29', '27+25=52']
Exploring Operation: 29+52=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
27,
89,
5
] | 90 | [
"33-27=6",
"89-5=84",
"6+84=90"
] | Current State: 90:[33, 27, 89, 5], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [89, 5, 6]
Generated Node #2: [89, 5, 6] from Operation: 33-27=6
Current State: 90:[89, 5, 6], Operations: ['33-27=6']
Exploring Operation: 89-5=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 89-5=84
Current State: 90:[6, 84], Operations: ['33-27=6', '89-5=84']
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
76,
32,
31,
4
] | 83 | [
"76-31=45",
"32*4=128",
"128-45=83"
] | Current State: 83:[76, 32, 31, 4], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [32, 4, 45]
Generated Node #2: [32, 4, 45] from Operation: 76-31=45
Current State: 83:[32, 4, 45], Operations: ['76-31=45']
Exploring Operation: 32*4=128, Resulting Numbers: [45, 128]
Generated Node #3: [45, 128] from Operation: 32*4=128
Current State: 83:[45, 128], Operations: ['76-31=45', '32*4=128']
Exploring Operation: 128-45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
1,
45,
54,
67
] | 55 | [
"67-1=66",
"45*66=2970",
"2970/54=55"
] | Current State: 55:[1, 45, 54, 67], Operations: []
Exploring Operation: 67-1=66, Resulting Numbers: [45, 54, 66]
Generated Node #2: [45, 54, 66] from Operation: 67-1=66
Current State: 55:[45, 54, 66], Operations: ['67-1=66']
Exploring Operation: 45*66=2970, Resulting Numbers: [54, 2970]
Generated Node #3: [54, 2970] from Operation: 45*66=2970
Current State: 55:[54, 2970], Operations: ['67-1=66', '45*66=2970']
Exploring Operation: 2970/54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
2,
28,
76
] | 61 | [
"86/2=43",
"28+76=104",
"104-43=61"
] | Current State: 61:[86, 2, 28, 76], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [28, 76, 43]
Generated Node #2: [28, 76, 43] from Operation: 86/2=43
Current State: 61:[28, 76, 43], Operations: ['86/2=43']
Exploring Operation: 28+76=104, Resulting Numbers: [43, 104]
Generated Node #3: [43, 104] from Operation: 28+76=104
Current State: 61:[43, 104], Operations: ['86/2=43', '28+76=104']
Exploring Operation: 104-43=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
25,
42,
37,
73
] | 52 | [
"42-37=5",
"25*5=125",
"125-73=52"
] | Current State: 52:[25, 42, 37, 73], Operations: []
Exploring Operation: 42-37=5, Resulting Numbers: [25, 73, 5]
Generated Node #2: [25, 73, 5] from Operation: 42-37=5
Current State: 52:[25, 73, 5], Operations: ['42-37=5']
Exploring Operation: 25*5=125, Resulting Numbers: [73, 125]
Generated Node #3: [73, 125] from Operation: 25*5=125
Current State: 52:[73, 125], Operations: ['42-37=5', '25*5=125']
Exploring Operation: 125-73=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
30,
38,
60
] | 85 | [
"43-30=13",
"38+60=98",
"98-13=85"
] | Current State: 85:[43, 30, 38, 60], Operations: []
Exploring Operation: 43-30=13, Resulting Numbers: [38, 60, 13]
Generated Node #2: [38, 60, 13] from Operation: 43-30=13
Current State: 85:[38, 60, 13], Operations: ['43-30=13']
Exploring Operation: 38+60=98, Resulting Numbers: [13, 98]
Generated Node #3: [13, 98] from Operation: 38+60=98
Current State: 85:[13, 98], Operations: ['43-30=13', '38+60=98']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
86,
96,
63,
14
] | 50 | [
"86+96=182",
"182/14=13",
"63-13=50"
] | Current State: 50:[86, 96, 63, 14], Operations: []
Exploring Operation: 86+96=182, Resulting Numbers: [63, 14, 182]
Generated Node #2: [63, 14, 182] from Operation: 86+96=182
Current State: 50:[63, 14, 182], Operations: ['86+96=182']
Exploring Operation: 182/14=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 182/14=13
Current State: 50:[63, 13], Operations: ['86+96=182', '182/14=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
50,
46,
48,
42
] | 52 | [
"50-42=8",
"48/8=6",
"46+6=52"
] | Current State: 52:[50, 46, 48, 42], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [46, 48, 8]
Generated Node #2: [46, 48, 8] from Operation: 50-42=8
Current State: 52:[46, 48, 8], Operations: ['50-42=8']
Exploring Operation: 48/8=6, Resulting Numbers: [46, 6]
Generated Node #3: [46, 6] from Operation: 48/8=6
Current State: 52:[46, 6], Operations: ['50-42=8', '48/8=6']
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
10,
56,
93
] | 38 | [
"10/10=1",
"93-56=37",
"1+37=38"
] | Current State: 38:[10, 10, 56, 93], Operations: []
Exploring Operation: 10/10=1, Resulting Numbers: [56, 93, 1]
Generated Node #2: [56, 93, 1] from Operation: 10/10=1
Current State: 38:[56, 93, 1], Operations: ['10/10=1']
Exploring Operation: 93-56=37, Resulting Numbers: [1, 37]
Generated Node #3: [1, 37] from Operation: 93-56=37
Current State: 38:[1, 37], Operations: ['10/10=1', '93-56=37']
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
5,
93,
9
] | 97 | [
"41-5=36",
"36/9=4",
"93+4=97"
] | Current State: 97:[41, 5, 93, 9], Operations: []
Exploring Operation: 41-5=36, Resulting Numbers: [93, 9, 36]
Generated Node #2: [93, 9, 36] from Operation: 41-5=36
Current State: 97:[93, 9, 36], Operations: ['41-5=36']
Exploring Operation: 36/9=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 36/9=4
Current State: 97:[93, 4], Operations: ['41-5=36', '36/9=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
64,
62,
67,
60
] | 99 | [
"62-60=2",
"64/2=32",
"67+32=99"
] | Current State: 99:[64, 62, 67, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [64, 67, 2]
Generated Node #2: [64, 67, 2] from Operation: 62-60=2
Current State: 99:[64, 67, 2], Operations: ['62-60=2']
Exploring Operation: 64/2=32, Resulting Numbers: [67, 32]
Generated Node #3: [67, 32] from Operation: 64/2=32
Current State: 99:[67, 32], Operations: ['62-60=2', '64/2=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
22,
82,
85,
76
] | 95 | [
"22+82=104",
"85-76=9",
"104-9=95"
] | Current State: 95:[22, 82, 85, 76], Operations: []
Exploring Operation: 22+82=104, Resulting Numbers: [85, 76, 104]
Generated Node #2: [85, 76, 104] from Operation: 22+82=104
Current State: 95:[85, 76, 104], Operations: ['22+82=104']
Exploring Operation: 85-76=9, Resulting Numbers: [104, 9]
Generated Node #3: [104, 9] from Operation: 85-76=9
Current State: 95:[104, 9], Operations: ['22+82=104', '85-76=9']
Exploring Operation: 104-9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
47,
9,
21,
7
] | 28 | [
"47+9=56",
"21+7=28",
"56-28=28"
] | Current State: 28:[47, 9, 21, 7], Operations: []
Exploring Operation: 47+9=56, Resulting Numbers: [21, 7, 56]
Generated Node #2: [21, 7, 56] from Operation: 47+9=56
Current State: 28:[21, 7, 56], Operations: ['47+9=56']
Exploring Operation: 21+7=28, Resulting Numbers: [56, 28]
Generated Node #3: [56, 28] from Operation: 21+7=28
Current State: 28:[56, 28], Operations: ['47+9=56', '21+7=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
77,
12,
91,
93
] | 75 | [
"91-77=14",
"12*14=168",
"168-93=75"
] | Current State: 75:[77, 12, 91, 93], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [12, 93, 14]
Generated Node #2: [12, 93, 14] from Operation: 91-77=14
Current State: 75:[12, 93, 14], Operations: ['91-77=14']
Exploring Operation: 12*14=168, Resulting Numbers: [93, 168]
Generated Node #3: [93, 168] from Operation: 12*14=168
Current State: 75:[93, 168], Operations: ['91-77=14', '12*14=168']
Exploring Operation: 168-93=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
75,
24,
55
] | 93 | [
"55-48=7",
"24*7=168",
"168-75=93"
] | Current State: 93:[48, 75, 24, 55], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [75, 24, 7]
Generated Node #2: [75, 24, 7] from Operation: 55-48=7
Current State: 93:[75, 24, 7], Operations: ['55-48=7']
Exploring Operation: 24*7=168, Resulting Numbers: [75, 168]
Generated Node #3: [75, 168] from Operation: 24*7=168
Current State: 93:[75, 168], Operations: ['55-48=7', '24*7=168']
Exploring Operation: 168-75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
83,
6,
39,
85
] | 35 | [
"83+6=89",
"39+85=124",
"124-89=35"
] | Current State: 35:[83, 6, 39, 85], Operations: []
Exploring Operation: 83+6=89, Resulting Numbers: [39, 85, 89]
Generated Node #2: [39, 85, 89] from Operation: 83+6=89
Current State: 35:[39, 85, 89], Operations: ['83+6=89']
Exploring Operation: 39+85=124, Resulting Numbers: [89, 124]
Generated Node #3: [89, 124] from Operation: 39+85=124
Current State: 35:[89, 124], Operations: ['83+6=89', '39+85=124']
Exploring Operation: 124-89=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
39,
95,
78,
22
] | 34 | [
"39+95=134",
"78+22=100",
"134-100=34"
] | Current State: 34:[39, 95, 78, 22], Operations: []
Exploring Operation: 39+95=134, Resulting Numbers: [78, 22, 134]
Generated Node #2: [78, 22, 134] from Operation: 39+95=134
Current State: 34:[78, 22, 134], Operations: ['39+95=134']
Exploring Operation: 78+22=100, Resulting Numbers: [134, 100]
Generated Node #3: [134, 100] from Operation: 78+22=100
Current State: 34:[134, 100], Operations: ['39+95=134', '78+22=100']
Exploring Operation: 134-100=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
26,
49,
2
] | 36 | [
"49-29=20",
"20/2=10",
"26+10=36"
] | Current State: 36:[29, 26, 49, 2], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [26, 2, 20]
Generated Node #2: [26, 2, 20] from Operation: 49-29=20
Current State: 36:[26, 2, 20], Operations: ['49-29=20']
Exploring Operation: 20/2=10, Resulting Numbers: [26, 10]
Generated Node #3: [26, 10] from Operation: 20/2=10
Current State: 36:[26, 10], Operations: ['49-29=20', '20/2=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
92,
62,
58
] | 20 | [
"3*58=174",
"92+62=154",
"174-154=20"
] | Current State: 20:[3, 92, 62, 58], Operations: []
Exploring Operation: 3*58=174, Resulting Numbers: [92, 62, 174]
Generated Node #2: [92, 62, 174] from Operation: 3*58=174
Current State: 20:[92, 62, 174], Operations: ['3*58=174']
Exploring Operation: 92+62=154, Resulting Numbers: [174, 154]
Generated Node #3: [174, 154] from Operation: 92+62=154
Current State: 20:[174, 154], Operations: ['3*58=174', '92+62=154']
Exploring Operation: 174-154=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
26,
4,
23,
19
] | 20 | [
"26-4=22",
"23+19=42",
"42-22=20"
] | Current State: 20:[26, 4, 23, 19], Operations: []
Exploring Operation: 26-4=22, Resulting Numbers: [23, 19, 22]
Generated Node #2: [23, 19, 22] from Operation: 26-4=22
Current State: 20:[23, 19, 22], Operations: ['26-4=22']
Exploring Operation: 23+19=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 23+19=42
Current State: 20:[22, 42], Operations: ['26-4=22', '23+19=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
4,
7,
24
] | 63 | [
"24-3=21",
"7-4=3",
"21*3=63"
] | Current State: 63:[3, 4, 7, 24], Operations: []
Exploring Operation: 24-3=21, Resulting Numbers: [4, 7, 21]
Generated Node #2: [4, 7, 21] from Operation: 24-3=21
Current State: 63:[4, 7, 21], Operations: ['24-3=21']
Exploring Operation: 7-4=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 7-4=3
Current State: 63:[21, 3], Operations: ['24-3=21', '7-4=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
51,
86,
57
] | 50 | [
"51+57=108",
"108/3=36",
"86-36=50"
] | Current State: 50:[3, 51, 86, 57], Operations: []
Exploring Operation: 51+57=108, Resulting Numbers: [3, 86, 108]
Generated Node #2: [3, 86, 108] from Operation: 51+57=108
Current State: 50:[3, 86, 108], Operations: ['51+57=108']
Exploring Operation: 108/3=36, Resulting Numbers: [86, 36]
Generated Node #3: [86, 36] from Operation: 108/3=36
Current State: 50:[86, 36], Operations: ['51+57=108', '108/3=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
56,
10,
95,
37
] | 12 | [
"56-10=46",
"95-37=58",
"58-46=12"
] | Current State: 12:[56, 10, 95, 37], Operations: []
Exploring Operation: 56-10=46, Resulting Numbers: [95, 37, 46]
Generated Node #2: [95, 37, 46] from Operation: 56-10=46
Current State: 12:[95, 37, 46], Operations: ['56-10=46']
Exploring Operation: 95-37=58, Resulting Numbers: [46, 58]
Generated Node #3: [46, 58] from Operation: 95-37=58
Current State: 12:[46, 58], Operations: ['56-10=46', '95-37=58']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
81,
33,
76,
23
] | 50 | [
"81-76=5",
"33-23=10",
"5*10=50"
] | Current State: 50:[81, 33, 76, 23], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [33, 23, 5]
Generated Node #2: [33, 23, 5] from Operation: 81-76=5
Current State: 50:[33, 23, 5], Operations: ['81-76=5']
Exploring Operation: 33-23=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 33-23=10
Current State: 50:[5, 10], Operations: ['81-76=5', '33-23=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
35,
2,
31,
40
] | 73 | [
"35+31=66",
"66/2=33",
"40+33=73"
] | Current State: 73:[35, 2, 31, 40], Operations: []
Exploring Operation: 35+31=66, Resulting Numbers: [2, 40, 66]
Generated Node #2: [2, 40, 66] from Operation: 35+31=66
Current State: 73:[2, 40, 66], Operations: ['35+31=66']
Exploring Operation: 66/2=33, Resulting Numbers: [40, 33]
Generated Node #3: [40, 33] from Operation: 66/2=33
Current State: 73:[40, 33], Operations: ['35+31=66', '66/2=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
81,
79,
37,
70
] | 53 | [
"81+79=160",
"37+70=107",
"160-107=53"
] | Current State: 53:[81, 79, 37, 70], Operations: []
Exploring Operation: 81+79=160, Resulting Numbers: [37, 70, 160]
Generated Node #2: [37, 70, 160] from Operation: 81+79=160
Current State: 53:[37, 70, 160], Operations: ['81+79=160']
Exploring Operation: 37+70=107, Resulting Numbers: [160, 107]
Generated Node #3: [160, 107] from Operation: 37+70=107
Current State: 53:[160, 107], Operations: ['81+79=160', '37+70=107']
Exploring Operation: 160-107=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
96,
4,
98,
7
] | 56 | [
"98-96=2",
"4*7=28",
"2*28=56"
] | Current State: 56:[96, 4, 98, 7], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [4, 7, 2]
Generated Node #2: [4, 7, 2] from Operation: 98-96=2
Current State: 56:[4, 7, 2], Operations: ['98-96=2']
Exploring Operation: 4*7=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 4*7=28
Current State: 56:[2, 28], Operations: ['98-96=2', '4*7=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
62,
21,
36,
39
] | 80 | [
"62+21=83",
"39-36=3",
"83-3=80"
] | Current State: 80:[62, 21, 36, 39], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [36, 39, 83]
Generated Node #2: [36, 39, 83] from Operation: 62+21=83
Current State: 80:[36, 39, 83], Operations: ['62+21=83']
Exploring Operation: 39-36=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 39-36=3
Current State: 80:[83, 3], Operations: ['62+21=83', '39-36=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
50,
29,
81,
19
] | 38 | [
"50+29=79",
"81-79=2",
"19*2=38"
] | Current State: 38:[50, 29, 81, 19], Operations: []
Exploring Operation: 50+29=79, Resulting Numbers: [81, 19, 79]
Generated Node #2: [81, 19, 79] from Operation: 50+29=79
Current State: 38:[81, 19, 79], Operations: ['50+29=79']
Exploring Operation: 81-79=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 81-79=2
Current State: 38:[19, 2], Operations: ['50+29=79', '81-79=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
29,
39,
4
] | 63 | [
"29-1=28",
"39-4=35",
"28+35=63"
] | Current State: 63:[1, 29, 39, 4], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [39, 4, 28]
Generated Node #2: [39, 4, 28] from Operation: 29-1=28
Current State: 63:[39, 4, 28], Operations: ['29-1=28']
Exploring Operation: 39-4=35, Resulting Numbers: [28, 35]
Generated Node #3: [28, 35] from Operation: 39-4=35
Current State: 63:[28, 35], Operations: ['29-1=28', '39-4=35']
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
22,
42,
24,
44
] | 54 | [
"22*24=528",
"528/44=12",
"42+12=54"
] | Current State: 54:[22, 42, 24, 44], Operations: []
Exploring Operation: 22*24=528, Resulting Numbers: [42, 44, 528]
Generated Node #2: [42, 44, 528] from Operation: 22*24=528
Current State: 54:[42, 44, 528], Operations: ['22*24=528']
Exploring Operation: 528/44=12, Resulting Numbers: [42, 12]
Generated Node #3: [42, 12] from Operation: 528/44=12
Current State: 54:[42, 12], Operations: ['22*24=528', '528/44=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
30,
62,
64,
86
] | 88 | [
"62-30=32",
"64/32=2",
"86+2=88"
] | Current State: 88:[30, 62, 64, 86], Operations: []
Exploring Operation: 62-30=32, Resulting Numbers: [64, 86, 32]
Generated Node #2: [64, 86, 32] from Operation: 62-30=32
Current State: 88:[64, 86, 32], Operations: ['62-30=32']
Exploring Operation: 64/32=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 64/32=2
Current State: 88:[86, 2], Operations: ['62-30=32', '64/32=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
19,
62,
44
] | 61 | [
"2*62=124",
"19+44=63",
"124-63=61"
] | Current State: 61:[2, 19, 62, 44], Operations: []
Exploring Operation: 2*62=124, Resulting Numbers: [19, 44, 124]
Generated Node #2: [19, 44, 124] from Operation: 2*62=124
Current State: 61:[19, 44, 124], Operations: ['2*62=124']
Exploring Operation: 19+44=63, Resulting Numbers: [124, 63]
Generated Node #3: [124, 63] from Operation: 19+44=63
Current State: 61:[124, 63], Operations: ['2*62=124', '19+44=63']
Exploring Operation: 124-63=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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