nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
18,
58,
86
] | 71 | [
"25+18=43",
"86-58=28",
"43+28=71"
] | Current State: 71:[25, 18, 58, 86], Operations: []
Exploring Operation: 25+18=43, Resulting Numbers: [58, 86, 43]
Generated Node #2: [58, 86, 43] from Operation: 25+18=43
Current State: 71:[58, 86, 43], Operations: ['25+18=43']
Exploring Operation: 86-58=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 86-58=28
Current State: 71:[43, 28], Operations: ['25+18=43', '86-58=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
84,
14,
26,
5
] | 37 | [
"84/14=6",
"26+5=31",
"6+31=37"
] | Current State: 37:[84, 14, 26, 5], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [26, 5, 6]
Generated Node #2: [26, 5, 6] from Operation: 84/14=6
Current State: 37:[26, 5, 6], Operations: ['84/14=6']
Exploring Operation: 26+5=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 26+5=31
Current State: 37:[6, 31], Operations: ['84/14=6', '26+5=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
53,
24,
94,
98
] | 43 | [
"98-94=4",
"24*4=96",
"96-53=43"
] | Current State: 43:[53, 24, 94, 98], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [53, 24, 4]
Generated Node #2: [53, 24, 4] from Operation: 98-94=4
Current State: 43:[53, 24, 4], Operations: ['98-94=4']
Exploring Operation: 24*4=96, Resulting Numbers: [53, 96]
Generated Node #3: [53, 96] from Operation: 24*4=96
Current State: 43:[53, 96], Operations: ['98-94=4', '24*4=96']
Exploring Operation: 96-53=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
78,
13,
81,
85
] | 69 | [
"78-13=65",
"85-81=4",
"65+4=69"
] | Current State: 69:[78, 13, 81, 85], Operations: []
Exploring Operation: 78-13=65, Resulting Numbers: [81, 85, 65]
Generated Node #2: [81, 85, 65] from Operation: 78-13=65
Current State: 69:[81, 85, 65], Operations: ['78-13=65']
Exploring Operation: 85-81=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 85-81=4
Current State: 69:[65, 4], Operations: ['78-13=65', '85-81=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
27,
41,
53,
70
] | 30 | [
"53+70=123",
"123/41=3",
"27+3=30"
] | Current State: 30:[27, 41, 53, 70], Operations: []
Exploring Operation: 53+70=123, Resulting Numbers: [27, 41, 123]
Generated Node #2: [27, 41, 123] from Operation: 53+70=123
Current State: 30:[27, 41, 123], Operations: ['53+70=123']
Exploring Operation: 123/41=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 123/41=3
Current State: 30:[27, 3], Operations: ['53+70=123', '123/41=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
55,
99,
5,
87
] | 96 | [
"55/5=11",
"99/11=9",
"87+9=96"
] | Current State: 96:[55, 99, 5, 87], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [99, 87, 11]
Generated Node #2: [99, 87, 11] from Operation: 55/5=11
Current State: 96:[99, 87, 11], Operations: ['55/5=11']
Exploring Operation: 99/11=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 99/11=9
Current State: 96:[87, 9], Operations: ['55/5=11', '99/11=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
87,
48,
69,
16
] | 54 | [
"87-69=18",
"48/16=3",
"18*3=54"
] | Current State: 54:[87, 48, 69, 16], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [48, 16, 18]
Generated Node #2: [48, 16, 18] from Operation: 87-69=18
Current State: 54:[48, 16, 18], Operations: ['87-69=18']
Exploring Operation: 48/16=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 48/16=3
Current State: 54:[18, 3], Operations: ['87-69=18', '48/16=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
60,
4,
90,
42
] | 78 | [
"90-60=30",
"4*30=120",
"120-42=78"
] | Current State: 78:[60, 4, 90, 42], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [4, 42, 30]
Generated Node #2: [4, 42, 30] from Operation: 90-60=30
Current State: 78:[4, 42, 30], Operations: ['90-60=30']
Exploring Operation: 4*30=120, Resulting Numbers: [42, 120]
Generated Node #3: [42, 120] from Operation: 4*30=120
Current State: 78:[42, 120], Operations: ['90-60=30', '4*30=120']
Exploring Operation: 120-42=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
98,
2,
28,
16
] | 49 | [
"28/2=14",
"16-14=2",
"98/2=49"
] | Current State: 49:[98, 2, 28, 16], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [98, 16, 14]
Generated Node #2: [98, 16, 14] from Operation: 28/2=14
Current State: 49:[98, 16, 14], Operations: ['28/2=14']
Exploring Operation: 16-14=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 16-14=2
Current State: 49:[98, 2], Operations: ['28/2=14', '16-14=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
92,
64,
64,
21
] | 15 | [
"92-64=28",
"64-21=43",
"43-28=15"
] | Current State: 15:[92, 64, 64, 21], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [21, 28]
Generated Node #2: [21, 28] from Operation: 92-64=28
Current State: 15:[21, 28], Operations: ['92-64=28']
Exploring Operation: 64-21=43, Resulting Numbers: [28, 43]
Generated Node #3: [28, 43] from Operation: 64-21=43
Current State: 15:[28, 43], Operations: ['92-64=28', '64-21=43']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
31,
90,
87,
12
] | 22 | [
"31+90=121",
"87+12=99",
"121-99=22"
] | Current State: 22:[31, 90, 87, 12], Operations: []
Exploring Operation: 31+90=121, Resulting Numbers: [87, 12, 121]
Generated Node #2: [87, 12, 121] from Operation: 31+90=121
Current State: 22:[87, 12, 121], Operations: ['31+90=121']
Exploring Operation: 87+12=99, Resulting Numbers: [121, 99]
Generated Node #3: [121, 99] from Operation: 87+12=99
Current State: 22:[121, 99], Operations: ['31+90=121', '87+12=99']
Exploring Operation: 121-99=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
27,
22,
24,
21
] | 75 | [
"24-22=2",
"27*2=54",
"21+54=75"
] | Current State: 75:[27, 22, 24, 21], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [27, 21, 2]
Generated Node #2: [27, 21, 2] from Operation: 24-22=2
Current State: 75:[27, 21, 2], Operations: ['24-22=2']
Exploring Operation: 27*2=54, Resulting Numbers: [21, 54]
Generated Node #3: [21, 54] from Operation: 27*2=54
Current State: 75:[21, 54], Operations: ['24-22=2', '27*2=54']
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
64,
72,
17,
19
] | 40 | [
"19-17=2",
"64/2=32",
"72-32=40"
] | Current State: 40:[64, 72, 17, 19], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [64, 72, 2]
Generated Node #2: [64, 72, 2] from Operation: 19-17=2
Current State: 40:[64, 72, 2], Operations: ['19-17=2']
Exploring Operation: 64/2=32, Resulting Numbers: [72, 32]
Generated Node #3: [72, 32] from Operation: 64/2=32
Current State: 40:[72, 32], Operations: ['19-17=2', '64/2=32']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
3,
70,
41
] | 47 | [
"21-3=18",
"70-41=29",
"18+29=47"
] | Current State: 47:[21, 3, 70, 41], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [70, 41, 18]
Generated Node #2: [70, 41, 18] from Operation: 21-3=18
Current State: 47:[70, 41, 18], Operations: ['21-3=18']
Exploring Operation: 70-41=29, Resulting Numbers: [18, 29]
Generated Node #3: [18, 29] from Operation: 70-41=29
Current State: 47:[18, 29], Operations: ['21-3=18', '70-41=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
71,
40,
14,
36
] | 100 | [
"71-36=35",
"40*35=1400",
"1400/14=100"
] | Current State: 100:[71, 40, 14, 36], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [40, 14, 35]
Generated Node #2: [40, 14, 35] from Operation: 71-36=35
Current State: 100:[40, 14, 35], Operations: ['71-36=35']
Exploring Operation: 40*35=1400, Resulting Numbers: [14, 1400]
Generated Node #3: [14, 1400] from Operation: 40*35=1400
Current State: 100:[14, 1400], Operations: ['71-36=35', '40*35=1400']
Exploring Operation: 1400/14=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
99,
56,
59,
96
] | 65 | [
"99+96=195",
"59-56=3",
"195/3=65"
] | Current State: 65:[99, 56, 59, 96], Operations: []
Exploring Operation: 99+96=195, Resulting Numbers: [56, 59, 195]
Generated Node #2: [56, 59, 195] from Operation: 99+96=195
Current State: 65:[56, 59, 195], Operations: ['99+96=195']
Exploring Operation: 59-56=3, Resulting Numbers: [195, 3]
Generated Node #3: [195, 3] from Operation: 59-56=3
Current State: 65:[195, 3], Operations: ['99+96=195', '59-56=3']
Exploring Operation: 195/3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
54,
67,
9
] | 64 | [
"3+67=70",
"54/9=6",
"70-6=64"
] | Current State: 64:[3, 54, 67, 9], Operations: []
Exploring Operation: 3+67=70, Resulting Numbers: [54, 9, 70]
Generated Node #2: [54, 9, 70] from Operation: 3+67=70
Current State: 64:[54, 9, 70], Operations: ['3+67=70']
Exploring Operation: 54/9=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 54/9=6
Current State: 64:[70, 6], Operations: ['3+67=70', '54/9=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
76,
81,
27,
69
] | 91 | [
"81-76=5",
"27+69=96",
"96-5=91"
] | Current State: 91:[76, 81, 27, 69], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [27, 69, 5]
Generated Node #2: [27, 69, 5] from Operation: 81-76=5
Current State: 91:[27, 69, 5], Operations: ['81-76=5']
Exploring Operation: 27+69=96, Resulting Numbers: [5, 96]
Generated Node #3: [5, 96] from Operation: 27+69=96
Current State: 91:[5, 96], Operations: ['81-76=5', '27+69=96']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
86,
51,
85,
14
] | 64 | [
"86-51=35",
"85+14=99",
"99-35=64"
] | Current State: 64:[86, 51, 85, 14], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [85, 14, 35]
Generated Node #2: [85, 14, 35] from Operation: 86-51=35
Current State: 64:[85, 14, 35], Operations: ['86-51=35']
Exploring Operation: 85+14=99, Resulting Numbers: [35, 99]
Generated Node #3: [35, 99] from Operation: 85+14=99
Current State: 64:[35, 99], Operations: ['86-51=35', '85+14=99']
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
62,
5,
92,
2
] | 72 | [
"62+92=154",
"154/2=77",
"77-5=72"
] | Current State: 72:[62, 5, 92, 2], Operations: []
Exploring Operation: 62+92=154, Resulting Numbers: [5, 2, 154]
Generated Node #2: [5, 2, 154] from Operation: 62+92=154
Current State: 72:[5, 2, 154], Operations: ['62+92=154']
Exploring Operation: 154/2=77, Resulting Numbers: [5, 77]
Generated Node #3: [5, 77] from Operation: 154/2=77
Current State: 72:[5, 77], Operations: ['62+92=154', '154/2=77']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
52,
6,
67
] | 43 | [
"2*52=104",
"67-6=61",
"104-61=43"
] | Current State: 43:[2, 52, 6, 67], Operations: []
Exploring Operation: 2*52=104, Resulting Numbers: [6, 67, 104]
Generated Node #2: [6, 67, 104] from Operation: 2*52=104
Current State: 43:[6, 67, 104], Operations: ['2*52=104']
Exploring Operation: 67-6=61, Resulting Numbers: [104, 61]
Generated Node #3: [104, 61] from Operation: 67-6=61
Current State: 43:[104, 61], Operations: ['2*52=104', '67-6=61']
Exploring Operation: 104-61=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
66,
71,
82,
84
] | 10 | [
"71-66=5",
"84-82=2",
"5*2=10"
] | Current State: 10:[66, 71, 82, 84], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [82, 84, 5]
Generated Node #2: [82, 84, 5] from Operation: 71-66=5
Current State: 10:[82, 84, 5], Operations: ['71-66=5']
Exploring Operation: 84-82=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 84-82=2
Current State: 10:[5, 2], Operations: ['71-66=5', '84-82=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
92,
31,
92,
61
] | 92 | [
"92+31=123",
"92-61=31",
"123-31=92"
] | Current State: 92:[92, 31, 92, 61], Operations: []
Exploring Operation: 92+31=123, Resulting Numbers: [61, 123]
Generated Node #2: [61, 123] from Operation: 92+31=123
Current State: 92:[61, 123], Operations: ['92+31=123']
Exploring Operation: 92-61=31, Resulting Numbers: [123, 31]
Generated Node #3: [123, 31] from Operation: 92-61=31
Current State: 92:[123, 31], Operations: ['92+31=123', '92-61=31']
Exploring Operation: 123-31=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
56,
28,
25,
8
] | 32 | [
"28-25=3",
"8*3=24",
"56-24=32"
] | Current State: 32:[56, 28, 25, 8], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [56, 8, 3]
Generated Node #2: [56, 8, 3] from Operation: 28-25=3
Current State: 32:[56, 8, 3], Operations: ['28-25=3']
Exploring Operation: 8*3=24, Resulting Numbers: [56, 24]
Generated Node #3: [56, 24] from Operation: 8*3=24
Current State: 32:[56, 24], Operations: ['28-25=3', '8*3=24']
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
77,
73,
11,
21
] | 73 | [
"77-73=4",
"21*4=84",
"84-11=73"
] | Current State: 73:[77, 73, 11, 21], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [11, 21, 4]
Generated Node #2: [11, 21, 4] from Operation: 77-73=4
Current State: 73:[11, 21, 4], Operations: ['77-73=4']
Exploring Operation: 21*4=84, Resulting Numbers: [11, 84]
Generated Node #3: [11, 84] from Operation: 21*4=84
Current State: 73:[11, 84], Operations: ['77-73=4', '21*4=84']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
42,
60,
85,
6
] | 23 | [
"42+60=102",
"85-6=79",
"102-79=23"
] | Current State: 23:[42, 60, 85, 6], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [85, 6, 102]
Generated Node #2: [85, 6, 102] from Operation: 42+60=102
Current State: 23:[85, 6, 102], Operations: ['42+60=102']
Exploring Operation: 85-6=79, Resulting Numbers: [102, 79]
Generated Node #3: [102, 79] from Operation: 85-6=79
Current State: 23:[102, 79], Operations: ['42+60=102', '85-6=79']
Exploring Operation: 102-79=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
38,
53,
89,
89
] | 92 | [
"38+53=91",
"89/89=1",
"91+1=92"
] | Current State: 92:[38, 53, 89, 89], Operations: []
Exploring Operation: 38+53=91, Resulting Numbers: [89, 89, 91]
Generated Node #2: [89, 89, 91] from Operation: 38+53=91
Current State: 92:[89, 89, 91], Operations: ['38+53=91']
Exploring Operation: 89/89=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 89/89=1
Current State: 92:[91, 1], Operations: ['38+53=91', '89/89=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
12,
7,
63
] | 65 | [
"42/7=6",
"12/6=2",
"63+2=65"
] | Current State: 65:[42, 12, 7, 63], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [12, 63, 6]
Generated Node #2: [12, 63, 6] from Operation: 42/7=6
Current State: 65:[12, 63, 6], Operations: ['42/7=6']
Exploring Operation: 12/6=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 12/6=2
Current State: 65:[63, 2], Operations: ['42/7=6', '12/6=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
64,
94,
73,
95
] | 82 | [
"64*95=6080",
"6080-94=5986",
"5986/73=82"
] | Current State: 82:[64, 94, 73, 95], Operations: []
Exploring Operation: 64*95=6080, Resulting Numbers: [94, 73, 6080]
Generated Node #2: [94, 73, 6080] from Operation: 64*95=6080
Current State: 82:[94, 73, 6080], Operations: ['64*95=6080']
Exploring Operation: 6080-94=5986, Resulting Numbers: [73, 5986]
Generated Node #3: [73, 5986] from Operation: 6080-94=5986
Current State: 82:[73, 5986], Operations: ['64*95=6080', '6080-94=5986']
Exploring Operation: 5986/73=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
16,
61,
68,
62
] | 83 | [
"16+61=77",
"68-62=6",
"77+6=83"
] | Current State: 83:[16, 61, 68, 62], Operations: []
Exploring Operation: 16+61=77, Resulting Numbers: [68, 62, 77]
Generated Node #2: [68, 62, 77] from Operation: 16+61=77
Current State: 83:[68, 62, 77], Operations: ['16+61=77']
Exploring Operation: 68-62=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 68-62=6
Current State: 83:[77, 6], Operations: ['16+61=77', '68-62=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
21,
49,
3,
23
] | 50 | [
"21+49=70",
"23-3=20",
"70-20=50"
] | Current State: 50:[21, 49, 3, 23], Operations: []
Exploring Operation: 21+49=70, Resulting Numbers: [3, 23, 70]
Generated Node #2: [3, 23, 70] from Operation: 21+49=70
Current State: 50:[3, 23, 70], Operations: ['21+49=70']
Exploring Operation: 23-3=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 23-3=20
Current State: 50:[70, 20], Operations: ['21+49=70', '23-3=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
66,
64,
62
] | 41 | [
"66-62=4",
"92/4=23",
"64-23=41"
] | Current State: 41:[92, 66, 64, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [92, 64, 4]
Generated Node #2: [92, 64, 4] from Operation: 66-62=4
Current State: 41:[92, 64, 4], Operations: ['66-62=4']
Exploring Operation: 92/4=23, Resulting Numbers: [64, 23]
Generated Node #3: [64, 23] from Operation: 92/4=23
Current State: 41:[64, 23], Operations: ['66-62=4', '92/4=23']
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
83,
77,
60
] | 23 | [
"77+83=160",
"77+60=137",
"160-137=23"
] | Current State: 23:[77, 83, 77, 60], Operations: []
Exploring Operation: 77+83=160, Resulting Numbers: [60, 160]
Generated Node #2: [60, 160] from Operation: 77+83=160
Current State: 23:[60, 160], Operations: ['77+83=160']
Exploring Operation: 77+60=137, Resulting Numbers: [160, 137]
Generated Node #3: [160, 137] from Operation: 77+60=137
Current State: 23:[160, 137], Operations: ['77+83=160', '77+60=137']
Exploring Operation: 160-137=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
71,
68,
56,
28
] | 65 | [
"68*56=3808",
"3808/28=136",
"136-71=65"
] | Current State: 65:[71, 68, 56, 28], Operations: []
Exploring Operation: 68*56=3808, Resulting Numbers: [71, 28, 3808]
Generated Node #2: [71, 28, 3808] from Operation: 68*56=3808
Current State: 65:[71, 28, 3808], Operations: ['68*56=3808']
Exploring Operation: 3808/28=136, Resulting Numbers: [71, 136]
Generated Node #3: [71, 136] from Operation: 3808/28=136
Current State: 65:[71, 136], Operations: ['68*56=3808', '3808/28=136']
Exploring Operation: 136-71=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
81,
14,
91,
44
] | 40 | [
"81+14=95",
"91+44=135",
"135-95=40"
] | Current State: 40:[81, 14, 91, 44], Operations: []
Exploring Operation: 81+14=95, Resulting Numbers: [91, 44, 95]
Generated Node #2: [91, 44, 95] from Operation: 81+14=95
Current State: 40:[91, 44, 95], Operations: ['81+14=95']
Exploring Operation: 91+44=135, Resulting Numbers: [95, 135]
Generated Node #3: [95, 135] from Operation: 91+44=135
Current State: 40:[95, 135], Operations: ['81+14=95', '91+44=135']
Exploring Operation: 135-95=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
67,
6,
6,
26
] | 29 | [
"67-6=61",
"6+26=32",
"61-32=29"
] | Current State: 29:[67, 6, 6, 26], Operations: []
Exploring Operation: 67-6=61, Resulting Numbers: [26, 61]
Generated Node #2: [26, 61] from Operation: 67-6=61
Current State: 29:[26, 61], Operations: ['67-6=61']
Exploring Operation: 6+26=32, Resulting Numbers: [61, 32]
Generated Node #3: [61, 32] from Operation: 6+26=32
Current State: 29:[61, 32], Operations: ['67-6=61', '6+26=32']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
21,
30,
10,
32
] | 52 | [
"32-30=2",
"21*2=42",
"10+42=52"
] | Current State: 52:[21, 30, 10, 32], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [21, 10, 2]
Generated Node #2: [21, 10, 2] from Operation: 32-30=2
Current State: 52:[21, 10, 2], Operations: ['32-30=2']
Exploring Operation: 21*2=42, Resulting Numbers: [10, 42]
Generated Node #3: [10, 42] from Operation: 21*2=42
Current State: 52:[10, 42], Operations: ['32-30=2', '21*2=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
45,
66,
94
] | 56 | [
"73-45=28",
"94-66=28",
"28+28=56"
] | Current State: 56:[73, 45, 66, 94], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [66, 94, 28]
Generated Node #2: [66, 94, 28] from Operation: 73-45=28
Current State: 56:[66, 94, 28], Operations: ['73-45=28']
Exploring Operation: 94-66=28, Resulting Numbers: [28, 28]
Generated Node #3: [28, 28] from Operation: 94-66=28
Current State: 56:[28, 28], Operations: ['73-45=28', '94-66=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
11,
2,
53
] | 16 | [
"60+11=71",
"2+53=55",
"71-55=16"
] | Current State: 16:[60, 11, 2, 53], Operations: []
Exploring Operation: 60+11=71, Resulting Numbers: [2, 53, 71]
Generated Node #2: [2, 53, 71] from Operation: 60+11=71
Current State: 16:[2, 53, 71], Operations: ['60+11=71']
Exploring Operation: 2+53=55, Resulting Numbers: [71, 55]
Generated Node #3: [71, 55] from Operation: 2+53=55
Current State: 16:[71, 55], Operations: ['60+11=71', '2+53=55']
Exploring Operation: 71-55=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
20,
68,
4
] | 27 | [
"65-20=45",
"68+4=72",
"72-45=27"
] | Current State: 27:[65, 20, 68, 4], Operations: []
Exploring Operation: 65-20=45, Resulting Numbers: [68, 4, 45]
Generated Node #2: [68, 4, 45] from Operation: 65-20=45
Current State: 27:[68, 4, 45], Operations: ['65-20=45']
Exploring Operation: 68+4=72, Resulting Numbers: [45, 72]
Generated Node #3: [45, 72] from Operation: 68+4=72
Current State: 27:[45, 72], Operations: ['65-20=45', '68+4=72']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
53,
89,
34,
38
] | 19 | [
"89-53=36",
"36-34=2",
"38/2=19"
] | Current State: 19:[53, 89, 34, 38], Operations: []
Exploring Operation: 89-53=36, Resulting Numbers: [34, 38, 36]
Generated Node #2: [34, 38, 36] from Operation: 89-53=36
Current State: 19:[34, 38, 36], Operations: ['89-53=36']
Exploring Operation: 36-34=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 36-34=2
Current State: 19:[38, 2], Operations: ['89-53=36', '36-34=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
73,
8,
94
] | 19 | [
"8/4=2",
"94-73=21",
"21-2=19"
] | Current State: 19:[4, 73, 8, 94], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [73, 94, 2]
Generated Node #2: [73, 94, 2] from Operation: 8/4=2
Current State: 19:[73, 94, 2], Operations: ['8/4=2']
Exploring Operation: 94-73=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 94-73=21
Current State: 19:[2, 21], Operations: ['8/4=2', '94-73=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
47,
78,
30,
3
] | 11 | [
"78+30=108",
"108/3=36",
"47-36=11"
] | Current State: 11:[47, 78, 30, 3], Operations: []
Exploring Operation: 78+30=108, Resulting Numbers: [47, 3, 108]
Generated Node #2: [47, 3, 108] from Operation: 78+30=108
Current State: 11:[47, 3, 108], Operations: ['78+30=108']
Exploring Operation: 108/3=36, Resulting Numbers: [47, 36]
Generated Node #3: [47, 36] from Operation: 108/3=36
Current State: 11:[47, 36], Operations: ['78+30=108', '108/3=36']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
67,
20,
26,
13
] | 60 | [
"67-20=47",
"26-13=13",
"47+13=60"
] | Current State: 60:[67, 20, 26, 13], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [26, 13, 47]
Generated Node #2: [26, 13, 47] from Operation: 67-20=47
Current State: 60:[26, 13, 47], Operations: ['67-20=47']
Exploring Operation: 26-13=13, Resulting Numbers: [47, 13]
Generated Node #3: [47, 13] from Operation: 26-13=13
Current State: 60:[47, 13], Operations: ['67-20=47', '26-13=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
8,
26,
92,
2
] | 55 | [
"26-8=18",
"92+18=110",
"110/2=55"
] | Current State: 55:[8, 26, 92, 2], Operations: []
Exploring Operation: 26-8=18, Resulting Numbers: [92, 2, 18]
Generated Node #2: [92, 2, 18] from Operation: 26-8=18
Current State: 55:[92, 2, 18], Operations: ['26-8=18']
Exploring Operation: 92+18=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 92+18=110
Current State: 55:[2, 110], Operations: ['26-8=18', '92+18=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
17,
27,
69
] | 75 | [
"17+27=44",
"69-44=25",
"3*25=75"
] | Current State: 75:[3, 17, 27, 69], Operations: []
Exploring Operation: 17+27=44, Resulting Numbers: [3, 69, 44]
Generated Node #2: [3, 69, 44] from Operation: 17+27=44
Current State: 75:[3, 69, 44], Operations: ['17+27=44']
Exploring Operation: 69-44=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 69-44=25
Current State: 75:[3, 25], Operations: ['17+27=44', '69-44=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
41,
59,
39,
31
] | 87 | [
"41-39=2",
"59*2=118",
"118-31=87"
] | Current State: 87:[41, 59, 39, 31], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [59, 31, 2]
Generated Node #2: [59, 31, 2] from Operation: 41-39=2
Current State: 87:[59, 31, 2], Operations: ['41-39=2']
Exploring Operation: 59*2=118, Resulting Numbers: [31, 118]
Generated Node #3: [31, 118] from Operation: 59*2=118
Current State: 87:[31, 118], Operations: ['41-39=2', '59*2=118']
Exploring Operation: 118-31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
7,
59,
14
] | 83 | [
"45-7=38",
"59-14=45",
"38+45=83"
] | Current State: 83:[45, 7, 59, 14], Operations: []
Exploring Operation: 45-7=38, Resulting Numbers: [59, 14, 38]
Generated Node #2: [59, 14, 38] from Operation: 45-7=38
Current State: 83:[59, 14, 38], Operations: ['45-7=38']
Exploring Operation: 59-14=45, Resulting Numbers: [38, 45]
Generated Node #3: [38, 45] from Operation: 59-14=45
Current State: 83:[38, 45], Operations: ['45-7=38', '59-14=45']
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
37,
20,
17,
32
] | 31 | [
"37-20=17",
"17/17=1",
"32-1=31"
] | Current State: 31:[37, 20, 17, 32], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [17, 32, 17]
Generated Node #2: [17, 32, 17] from Operation: 37-20=17
Current State: 31:[17, 32, 17], Operations: ['37-20=17']
Exploring Operation: 17/17=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 17/17=1
Current State: 31:[32, 1], Operations: ['37-20=17', '17/17=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
16,
33,
73,
69
] | 93 | [
"16+33=49",
"73+69=142",
"142-49=93"
] | Current State: 93:[16, 33, 73, 69], Operations: []
Exploring Operation: 16+33=49, Resulting Numbers: [73, 69, 49]
Generated Node #2: [73, 69, 49] from Operation: 16+33=49
Current State: 93:[73, 69, 49], Operations: ['16+33=49']
Exploring Operation: 73+69=142, Resulting Numbers: [49, 142]
Generated Node #3: [49, 142] from Operation: 73+69=142
Current State: 93:[49, 142], Operations: ['16+33=49', '73+69=142']
Exploring Operation: 142-49=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
34,
75,
2
] | 54 | [
"68+34=102",
"102-75=27",
"2*27=54"
] | Current State: 54:[68, 34, 75, 2], Operations: []
Exploring Operation: 68+34=102, Resulting Numbers: [75, 2, 102]
Generated Node #2: [75, 2, 102] from Operation: 68+34=102
Current State: 54:[75, 2, 102], Operations: ['68+34=102']
Exploring Operation: 102-75=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 102-75=27
Current State: 54:[2, 27], Operations: ['68+34=102', '102-75=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
57,
40,
67,
67
] | 96 | [
"57+40=97",
"67/67=1",
"97-1=96"
] | Current State: 96:[57, 40, 67, 67], Operations: []
Exploring Operation: 57+40=97, Resulting Numbers: [67, 67, 97]
Generated Node #2: [67, 67, 97] from Operation: 57+40=97
Current State: 96:[67, 67, 97], Operations: ['57+40=97']
Exploring Operation: 67/67=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 67/67=1
Current State: 96:[97, 1], Operations: ['57+40=97', '67/67=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
91,
2,
38,
22
] | 83 | [
"38-22=16",
"16/2=8",
"91-8=83"
] | Current State: 83:[91, 2, 38, 22], Operations: []
Exploring Operation: 38-22=16, Resulting Numbers: [91, 2, 16]
Generated Node #2: [91, 2, 16] from Operation: 38-22=16
Current State: 83:[91, 2, 16], Operations: ['38-22=16']
Exploring Operation: 16/2=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 16/2=8
Current State: 83:[91, 8], Operations: ['38-22=16', '16/2=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
73,
30,
5
] | 58 | [
"73-9=64",
"30/5=6",
"64-6=58"
] | Current State: 58:[9, 73, 30, 5], Operations: []
Exploring Operation: 73-9=64, Resulting Numbers: [30, 5, 64]
Generated Node #2: [30, 5, 64] from Operation: 73-9=64
Current State: 58:[30, 5, 64], Operations: ['73-9=64']
Exploring Operation: 30/5=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 30/5=6
Current State: 58:[64, 6], Operations: ['73-9=64', '30/5=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
92,
83,
11,
72
] | 91 | [
"83-11=72",
"72/72=1",
"92-1=91"
] | Current State: 91:[92, 83, 11, 72], Operations: []
Exploring Operation: 83-11=72, Resulting Numbers: [92, 72, 72]
Generated Node #2: [92, 72, 72] from Operation: 83-11=72
Current State: 91:[92, 72, 72], Operations: ['83-11=72']
Exploring Operation: 72/72=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 72/72=1
Current State: 91:[92, 1], Operations: ['83-11=72', '72/72=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
89,
30,
46,
31
] | 43 | [
"89-46=43",
"31-30=1",
"43*1=43"
] | Current State: 43:[89, 30, 46, 31], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [30, 31, 43]
Generated Node #2: [30, 31, 43] from Operation: 89-46=43
Current State: 43:[30, 31, 43], Operations: ['89-46=43']
Exploring Operation: 31-30=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 31-30=1
Current State: 43:[43, 1], Operations: ['89-46=43', '31-30=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
19,
79,
7
] | 41 | [
"7-5=2",
"19*2=38",
"79-38=41"
] | Current State: 41:[5, 19, 79, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [19, 79, 2]
Generated Node #2: [19, 79, 2] from Operation: 7-5=2
Current State: 41:[19, 79, 2], Operations: ['7-5=2']
Exploring Operation: 19*2=38, Resulting Numbers: [79, 38]
Generated Node #3: [79, 38] from Operation: 19*2=38
Current State: 41:[79, 38], Operations: ['7-5=2', '19*2=38']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
7,
11,
25,
84
] | 41 | [
"7+11=18",
"84-25=59",
"59-18=41"
] | Current State: 41:[7, 11, 25, 84], Operations: []
Exploring Operation: 7+11=18, Resulting Numbers: [25, 84, 18]
Generated Node #2: [25, 84, 18] from Operation: 7+11=18
Current State: 41:[25, 84, 18], Operations: ['7+11=18']
Exploring Operation: 84-25=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 84-25=59
Current State: 41:[18, 59], Operations: ['7+11=18', '84-25=59']
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
86,
86,
59,
80
] | 59 | [
"86-86=0",
"80*0=0",
"59+0=59"
] | Current State: 59:[86, 86, 59, 80], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [59, 80, 0]
Generated Node #2: [59, 80, 0] from Operation: 86-86=0
Current State: 59:[59, 80, 0], Operations: ['86-86=0']
Exploring Operation: 80*0=0, Resulting Numbers: [59, 0]
Generated Node #3: [59, 0] from Operation: 80*0=0
Current State: 59:[59, 0], Operations: ['86-86=0', '80*0=0']
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
40,
75,
91,
66
] | 60 | [
"75-40=35",
"91-66=25",
"35+25=60"
] | Current State: 60:[40, 75, 91, 66], Operations: []
Exploring Operation: 75-40=35, Resulting Numbers: [91, 66, 35]
Generated Node #2: [91, 66, 35] from Operation: 75-40=35
Current State: 60:[91, 66, 35], Operations: ['75-40=35']
Exploring Operation: 91-66=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 91-66=25
Current State: 60:[35, 25], Operations: ['75-40=35', '91-66=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
82,
68,
84,
92
] | 44 | [
"84-82=2",
"68*2=136",
"136-92=44"
] | Current State: 44:[82, 68, 84, 92], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [68, 92, 2]
Generated Node #2: [68, 92, 2] from Operation: 84-82=2
Current State: 44:[68, 92, 2], Operations: ['84-82=2']
Exploring Operation: 68*2=136, Resulting Numbers: [92, 136]
Generated Node #3: [92, 136] from Operation: 68*2=136
Current State: 44:[92, 136], Operations: ['84-82=2', '68*2=136']
Exploring Operation: 136-92=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
29,
53,
94,
81
] | 95 | [
"29+53=82",
"94-81=13",
"82+13=95"
] | Current State: 95:[29, 53, 94, 81], Operations: []
Exploring Operation: 29+53=82, Resulting Numbers: [94, 81, 82]
Generated Node #2: [94, 81, 82] from Operation: 29+53=82
Current State: 95:[94, 81, 82], Operations: ['29+53=82']
Exploring Operation: 94-81=13, Resulting Numbers: [82, 13]
Generated Node #3: [82, 13] from Operation: 94-81=13
Current State: 95:[82, 13], Operations: ['29+53=82', '94-81=13']
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
61,
2,
7,
23
] | 58 | [
"23-2=21",
"21/7=3",
"61-3=58"
] | Current State: 58:[61, 2, 7, 23], Operations: []
Exploring Operation: 23-2=21, Resulting Numbers: [61, 7, 21]
Generated Node #2: [61, 7, 21] from Operation: 23-2=21
Current State: 58:[61, 7, 21], Operations: ['23-2=21']
Exploring Operation: 21/7=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 21/7=3
Current State: 58:[61, 3], Operations: ['23-2=21', '21/7=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
49,
97,
30,
38
] | 20 | [
"97-49=48",
"30+38=68",
"68-48=20"
] | Current State: 20:[49, 97, 30, 38], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [30, 38, 48]
Generated Node #2: [30, 38, 48] from Operation: 97-49=48
Current State: 20:[30, 38, 48], Operations: ['97-49=48']
Exploring Operation: 30+38=68, Resulting Numbers: [48, 68]
Generated Node #3: [48, 68] from Operation: 30+38=68
Current State: 20:[48, 68], Operations: ['97-49=48', '30+38=68']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
44,
83,
27
] | 79 | [
"50-44=6",
"27*6=162",
"162-83=79"
] | Current State: 79:[50, 44, 83, 27], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [83, 27, 6]
Generated Node #2: [83, 27, 6] from Operation: 50-44=6
Current State: 79:[83, 27, 6], Operations: ['50-44=6']
Exploring Operation: 27*6=162, Resulting Numbers: [83, 162]
Generated Node #3: [83, 162] from Operation: 27*6=162
Current State: 79:[83, 162], Operations: ['50-44=6', '27*6=162']
Exploring Operation: 162-83=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
86,
8,
90,
87
] | 89 | [
"90-86=4",
"8/4=2",
"87+2=89"
] | Current State: 89:[86, 8, 90, 87], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [8, 87, 4]
Generated Node #2: [8, 87, 4] from Operation: 90-86=4
Current State: 89:[8, 87, 4], Operations: ['90-86=4']
Exploring Operation: 8/4=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 8/4=2
Current State: 89:[87, 2], Operations: ['90-86=4', '8/4=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
40,
11,
76,
72
] | 21 | [
"76-72=4",
"40/4=10",
"11+10=21"
] | Current State: 21:[40, 11, 76, 72], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [40, 11, 4]
Generated Node #2: [40, 11, 4] from Operation: 76-72=4
Current State: 21:[40, 11, 4], Operations: ['76-72=4']
Exploring Operation: 40/4=10, Resulting Numbers: [11, 10]
Generated Node #3: [11, 10] from Operation: 40/4=10
Current State: 21:[11, 10], Operations: ['76-72=4', '40/4=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
93,
63,
34,
95
] | 99 | [
"93-63=30",
"34+95=129",
"129-30=99"
] | Current State: 99:[93, 63, 34, 95], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [34, 95, 30]
Generated Node #2: [34, 95, 30] from Operation: 93-63=30
Current State: 99:[34, 95, 30], Operations: ['93-63=30']
Exploring Operation: 34+95=129, Resulting Numbers: [30, 129]
Generated Node #3: [30, 129] from Operation: 34+95=129
Current State: 99:[30, 129], Operations: ['93-63=30', '34+95=129']
Exploring Operation: 129-30=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
60,
12,
16,
30
] | 90 | [
"60-12=48",
"48/16=3",
"30*3=90"
] | Current State: 90:[60, 12, 16, 30], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [16, 30, 48]
Generated Node #2: [16, 30, 48] from Operation: 60-12=48
Current State: 90:[16, 30, 48], Operations: ['60-12=48']
Exploring Operation: 48/16=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 48/16=3
Current State: 90:[30, 3], Operations: ['60-12=48', '48/16=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
96,
93,
65,
41
] | 89 | [
"65-41=24",
"96/24=4",
"93-4=89"
] | Current State: 89:[96, 93, 65, 41], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [96, 93, 24]
Generated Node #2: [96, 93, 24] from Operation: 65-41=24
Current State: 89:[96, 93, 24], Operations: ['65-41=24']
Exploring Operation: 96/24=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 96/24=4
Current State: 89:[93, 4], Operations: ['65-41=24', '96/24=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
29,
84,
17,
18
] | 90 | [
"84-29=55",
"17+18=35",
"55+35=90"
] | Current State: 90:[29, 84, 17, 18], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [17, 18, 55]
Generated Node #2: [17, 18, 55] from Operation: 84-29=55
Current State: 90:[17, 18, 55], Operations: ['84-29=55']
Exploring Operation: 17+18=35, Resulting Numbers: [55, 35]
Generated Node #3: [55, 35] from Operation: 17+18=35
Current State: 90:[55, 35], Operations: ['84-29=55', '17+18=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
25,
42,
24,
75
] | 54 | [
"75/25=3",
"42-24=18",
"3*18=54"
] | Current State: 54:[25, 42, 24, 75], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [42, 24, 3]
Generated Node #2: [42, 24, 3] from Operation: 75/25=3
Current State: 54:[42, 24, 3], Operations: ['75/25=3']
Exploring Operation: 42-24=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 42-24=18
Current State: 54:[3, 18], Operations: ['75/25=3', '42-24=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
71,
47,
80,
54
] | 41 | [
"80-71=9",
"54/9=6",
"47-6=41"
] | Current State: 41:[71, 47, 80, 54], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [47, 54, 9]
Generated Node #2: [47, 54, 9] from Operation: 80-71=9
Current State: 41:[47, 54, 9], Operations: ['80-71=9']
Exploring Operation: 54/9=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 54/9=6
Current State: 41:[47, 6], Operations: ['80-71=9', '54/9=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
97,
57,
46,
79
] | 100 | [
"57*79=4503",
"97+4503=4600",
"4600/46=100"
] | Current State: 100:[97, 57, 46, 79], Operations: []
Exploring Operation: 57*79=4503, Resulting Numbers: [97, 46, 4503]
Generated Node #2: [97, 46, 4503] from Operation: 57*79=4503
Current State: 100:[97, 46, 4503], Operations: ['57*79=4503']
Exploring Operation: 97+4503=4600, Resulting Numbers: [46, 4600]
Generated Node #3: [46, 4600] from Operation: 97+4503=4600
Current State: 100:[46, 4600], Operations: ['57*79=4503', '97+4503=4600']
Exploring Operation: 4600/46=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
92,
46,
22
] | 30 | [
"16*46=736",
"736/92=8",
"22+8=30"
] | Current State: 30:[16, 92, 46, 22], Operations: []
Exploring Operation: 16*46=736, Resulting Numbers: [92, 22, 736]
Generated Node #2: [92, 22, 736] from Operation: 16*46=736
Current State: 30:[92, 22, 736], Operations: ['16*46=736']
Exploring Operation: 736/92=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 736/92=8
Current State: 30:[22, 8], Operations: ['16*46=736', '736/92=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
4,
16,
15
] | 21 | [
"5*4=20",
"16-15=1",
"20+1=21"
] | Current State: 21:[5, 4, 16, 15], Operations: []
Exploring Operation: 5*4=20, Resulting Numbers: [16, 15, 20]
Generated Node #2: [16, 15, 20] from Operation: 5*4=20
Current State: 21:[16, 15, 20], Operations: ['5*4=20']
Exploring Operation: 16-15=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 16-15=1
Current State: 21:[20, 1], Operations: ['5*4=20', '16-15=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
86,
74,
43,
82
] | 66 | [
"86*74=6364",
"6364/43=148",
"148-82=66"
] | Current State: 66:[86, 74, 43, 82], Operations: []
Exploring Operation: 86*74=6364, Resulting Numbers: [43, 82, 6364]
Generated Node #2: [43, 82, 6364] from Operation: 86*74=6364
Current State: 66:[43, 82, 6364], Operations: ['86*74=6364']
Exploring Operation: 6364/43=148, Resulting Numbers: [82, 148]
Generated Node #3: [82, 148] from Operation: 6364/43=148
Current State: 66:[82, 148], Operations: ['86*74=6364', '6364/43=148']
Exploring Operation: 148-82=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
68,
60,
35,
61
] | 65 | [
"68-61=7",
"35/7=5",
"60+5=65"
] | Current State: 65:[68, 60, 35, 61], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [60, 35, 7]
Generated Node #2: [60, 35, 7] from Operation: 68-61=7
Current State: 65:[60, 35, 7], Operations: ['68-61=7']
Exploring Operation: 35/7=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 35/7=5
Current State: 65:[60, 5], Operations: ['68-61=7', '35/7=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
74,
3,
69
] | 10 | [
"5*3=15",
"74-69=5",
"15-5=10"
] | Current State: 10:[5, 74, 3, 69], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [74, 69, 15]
Generated Node #2: [74, 69, 15] from Operation: 5*3=15
Current State: 10:[74, 69, 15], Operations: ['5*3=15']
Exploring Operation: 74-69=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 74-69=5
Current State: 10:[15, 5], Operations: ['5*3=15', '74-69=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
24,
8,
22,
16
] | 23 | [
"24-8=16",
"16/16=1",
"22+1=23"
] | Current State: 23:[24, 8, 22, 16], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [22, 16, 16]
Generated Node #2: [22, 16, 16] from Operation: 24-8=16
Current State: 23:[22, 16, 16], Operations: ['24-8=16']
Exploring Operation: 16/16=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 16/16=1
Current State: 23:[22, 1], Operations: ['24-8=16', '16/16=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
54,
66,
12,
30
] | 33 | [
"54-30=24",
"66*12=792",
"792/24=33"
] | Current State: 33:[54, 66, 12, 30], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [66, 12, 24]
Generated Node #2: [66, 12, 24] from Operation: 54-30=24
Current State: 33:[66, 12, 24], Operations: ['54-30=24']
Exploring Operation: 66*12=792, Resulting Numbers: [24, 792]
Generated Node #3: [24, 792] from Operation: 66*12=792
Current State: 33:[24, 792], Operations: ['54-30=24', '66*12=792']
Exploring Operation: 792/24=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
19,
3,
82,
95
] | 44 | [
"19*3=57",
"95-82=13",
"57-13=44"
] | Current State: 44:[19, 3, 82, 95], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [82, 95, 57]
Generated Node #2: [82, 95, 57] from Operation: 19*3=57
Current State: 44:[82, 95, 57], Operations: ['19*3=57']
Exploring Operation: 95-82=13, Resulting Numbers: [57, 13]
Generated Node #3: [57, 13] from Operation: 95-82=13
Current State: 44:[57, 13], Operations: ['19*3=57', '95-82=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
9,
60,
60
] | 24 | [
"16+9=25",
"60/60=1",
"25-1=24"
] | Current State: 24:[16, 9, 60, 60], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [60, 60, 25]
Generated Node #2: [60, 60, 25] from Operation: 16+9=25
Current State: 24:[60, 60, 25], Operations: ['16+9=25']
Exploring Operation: 60/60=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 60/60=1
Current State: 24:[25, 1], Operations: ['16+9=25', '60/60=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
52,
11,
21,
90
] | 28 | [
"52-11=41",
"90-21=69",
"69-41=28"
] | Current State: 28:[52, 11, 21, 90], Operations: []
Exploring Operation: 52-11=41, Resulting Numbers: [21, 90, 41]
Generated Node #2: [21, 90, 41] from Operation: 52-11=41
Current State: 28:[21, 90, 41], Operations: ['52-11=41']
Exploring Operation: 90-21=69, Resulting Numbers: [41, 69]
Generated Node #3: [41, 69] from Operation: 90-21=69
Current State: 28:[41, 69], Operations: ['52-11=41', '90-21=69']
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
4,
61,
60,
42
] | 75 | [
"61-4=57",
"60-42=18",
"57+18=75"
] | Current State: 75:[4, 61, 60, 42], Operations: []
Exploring Operation: 61-4=57, Resulting Numbers: [60, 42, 57]
Generated Node #2: [60, 42, 57] from Operation: 61-4=57
Current State: 75:[60, 42, 57], Operations: ['61-4=57']
Exploring Operation: 60-42=18, Resulting Numbers: [57, 18]
Generated Node #3: [57, 18] from Operation: 60-42=18
Current State: 75:[57, 18], Operations: ['61-4=57', '60-42=18']
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
25,
44,
32,
96
] | 20 | [
"32-25=7",
"44+96=140",
"140/7=20"
] | Current State: 20:[25, 44, 32, 96], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [44, 96, 7]
Generated Node #2: [44, 96, 7] from Operation: 32-25=7
Current State: 20:[44, 96, 7], Operations: ['32-25=7']
Exploring Operation: 44+96=140, Resulting Numbers: [7, 140]
Generated Node #3: [7, 140] from Operation: 44+96=140
Current State: 20:[7, 140], Operations: ['32-25=7', '44+96=140']
Exploring Operation: 140/7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
29,
12,
4,
16
] | 93 | [
"29+16=45",
"12*4=48",
"45+48=93"
] | Current State: 93:[29, 12, 4, 16], Operations: []
Exploring Operation: 29+16=45, Resulting Numbers: [12, 4, 45]
Generated Node #2: [12, 4, 45] from Operation: 29+16=45
Current State: 93:[12, 4, 45], Operations: ['29+16=45']
Exploring Operation: 12*4=48, Resulting Numbers: [45, 48]
Generated Node #3: [45, 48] from Operation: 12*4=48
Current State: 93:[45, 48], Operations: ['29+16=45', '12*4=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
66,
46,
54,
24
] | 57 | [
"46-24=22",
"66/22=3",
"54+3=57"
] | Current State: 57:[66, 46, 54, 24], Operations: []
Exploring Operation: 46-24=22, Resulting Numbers: [66, 54, 22]
Generated Node #2: [66, 54, 22] from Operation: 46-24=22
Current State: 57:[66, 54, 22], Operations: ['46-24=22']
Exploring Operation: 66/22=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 66/22=3
Current State: 57:[54, 3], Operations: ['46-24=22', '66/22=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
38,
71,
56,
10
] | 12 | [
"71*10=710",
"710-38=672",
"672/56=12"
] | Current State: 12:[38, 71, 56, 10], Operations: []
Exploring Operation: 71*10=710, Resulting Numbers: [38, 56, 710]
Generated Node #2: [38, 56, 710] from Operation: 71*10=710
Current State: 12:[38, 56, 710], Operations: ['71*10=710']
Exploring Operation: 710-38=672, Resulting Numbers: [56, 672]
Generated Node #3: [56, 672] from Operation: 710-38=672
Current State: 12:[56, 672], Operations: ['71*10=710', '710-38=672']
Exploring Operation: 672/56=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
98,
77,
39,
50
] | 10 | [
"98-77=21",
"50-39=11",
"21-11=10"
] | Current State: 10:[98, 77, 39, 50], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [39, 50, 21]
Generated Node #2: [39, 50, 21] from Operation: 98-77=21
Current State: 10:[39, 50, 21], Operations: ['98-77=21']
Exploring Operation: 50-39=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 50-39=11
Current State: 10:[21, 11], Operations: ['98-77=21', '50-39=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
17,
59,
27,
1
] | 16 | [
"59-17=42",
"27-1=26",
"42-26=16"
] | Current State: 16:[17, 59, 27, 1], Operations: []
Exploring Operation: 59-17=42, Resulting Numbers: [27, 1, 42]
Generated Node #2: [27, 1, 42] from Operation: 59-17=42
Current State: 16:[27, 1, 42], Operations: ['59-17=42']
Exploring Operation: 27-1=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 27-1=26
Current State: 16:[42, 26], Operations: ['59-17=42', '27-1=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
67,
28,
24,
69
] | 34 | [
"67+69=136",
"28-24=4",
"136/4=34"
] | Current State: 34:[67, 28, 24, 69], Operations: []
Exploring Operation: 67+69=136, Resulting Numbers: [28, 24, 136]
Generated Node #2: [28, 24, 136] from Operation: 67+69=136
Current State: 34:[28, 24, 136], Operations: ['67+69=136']
Exploring Operation: 28-24=4, Resulting Numbers: [136, 4]
Generated Node #3: [136, 4] from Operation: 28-24=4
Current State: 34:[136, 4], Operations: ['67+69=136', '28-24=4']
Exploring Operation: 136/4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
78,
24,
37
] | 70 | [
"5+78=83",
"37-24=13",
"83-13=70"
] | Current State: 70:[5, 78, 24, 37], Operations: []
Exploring Operation: 5+78=83, Resulting Numbers: [24, 37, 83]
Generated Node #2: [24, 37, 83] from Operation: 5+78=83
Current State: 70:[24, 37, 83], Operations: ['5+78=83']
Exploring Operation: 37-24=13, Resulting Numbers: [83, 13]
Generated Node #3: [83, 13] from Operation: 37-24=13
Current State: 70:[83, 13], Operations: ['5+78=83', '37-24=13']
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
31,
29,
58,
26
] | 13 | [
"31+29=60",
"60-58=2",
"26/2=13"
] | Current State: 13:[31, 29, 58, 26], Operations: []
Exploring Operation: 31+29=60, Resulting Numbers: [58, 26, 60]
Generated Node #2: [58, 26, 60] from Operation: 31+29=60
Current State: 13:[58, 26, 60], Operations: ['31+29=60']
Exploring Operation: 60-58=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 60-58=2
Current State: 13:[26, 2], Operations: ['31+29=60', '60-58=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
49,
2,
17,
7
] | 35 | [
"17*7=119",
"119-49=70",
"70/2=35"
] | Current State: 35:[49, 2, 17, 7], Operations: []
Exploring Operation: 17*7=119, Resulting Numbers: [49, 2, 119]
Generated Node #2: [49, 2, 119] from Operation: 17*7=119
Current State: 35:[49, 2, 119], Operations: ['17*7=119']
Exploring Operation: 119-49=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 119-49=70
Current State: 35:[2, 70], Operations: ['17*7=119', '119-49=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
18,
83,
2,
12
] | 68 | [
"18+12=30",
"30/2=15",
"83-15=68"
] | Current State: 68:[18, 83, 2, 12], Operations: []
Exploring Operation: 18+12=30, Resulting Numbers: [83, 2, 30]
Generated Node #2: [83, 2, 30] from Operation: 18+12=30
Current State: 68:[83, 2, 30], Operations: ['18+12=30']
Exploring Operation: 30/2=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 30/2=15
Current State: 68:[83, 15], Operations: ['18+12=30', '30/2=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
64,
67,
48,
28
] | 88 | [
"48*28=1344",
"1344/64=21",
"67+21=88"
] | Current State: 88:[64, 67, 48, 28], Operations: []
Exploring Operation: 48*28=1344, Resulting Numbers: [64, 67, 1344]
Generated Node #2: [64, 67, 1344] from Operation: 48*28=1344
Current State: 88:[64, 67, 1344], Operations: ['48*28=1344']
Exploring Operation: 1344/64=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 1344/64=21
Current State: 88:[67, 21], Operations: ['48*28=1344', '1344/64=21']
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
84,
74,
32,
90
] | 88 | [
"74-32=42",
"84/42=2",
"90-2=88"
] | Current State: 88:[84, 74, 32, 90], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [84, 90, 42]
Generated Node #2: [84, 90, 42] from Operation: 74-32=42
Current State: 88:[84, 90, 42], Operations: ['74-32=42']
Exploring Operation: 84/42=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 84/42=2
Current State: 88:[90, 2], Operations: ['74-32=42', '84/42=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
83,
16,
69,
4
] | 88 | [
"83+69=152",
"16*4=64",
"152-64=88"
] | Current State: 88:[83, 16, 69, 4], Operations: []
Exploring Operation: 83+69=152, Resulting Numbers: [16, 4, 152]
Generated Node #2: [16, 4, 152] from Operation: 83+69=152
Current State: 88:[16, 4, 152], Operations: ['83+69=152']
Exploring Operation: 16*4=64, Resulting Numbers: [152, 64]
Generated Node #3: [152, 64] from Operation: 16*4=64
Current State: 88:[152, 64], Operations: ['83+69=152', '16*4=64']
Exploring Operation: 152-64=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
58,
10,
2
] | 63 | [
"30/10=3",
"58+2=60",
"3+60=63"
] | Current State: 63:[30, 58, 10, 2], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [58, 2, 3]
Generated Node #2: [58, 2, 3] from Operation: 30/10=3
Current State: 63:[58, 2, 3], Operations: ['30/10=3']
Exploring Operation: 58+2=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 58+2=60
Current State: 63:[3, 60], Operations: ['30/10=3', '58+2=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
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