nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
68,
2,
60,
5
] | 50 | [
"68+2=70",
"70-60=10",
"5*10=50"
] | Current State: 50:[68, 2, 60, 5], Operations: []
Exploring Operation: 68+2=70, Resulting Numbers: [60, 5, 70]
Generated Node #2: [60, 5, 70] from Operation: 68+2=70
Current State: 50:[60, 5, 70], Operations: ['68+2=70']
Exploring Operation: 70-60=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 70-60=10
Current State: 50:[5, 10], Operations: ['68+2=70', '70-60=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
18,
46,
49
] | 30 | [
"5*18=90",
"49-46=3",
"90/3=30"
] | Current State: 30:[5, 18, 46, 49], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [46, 49, 90]
Generated Node #2: [46, 49, 90] from Operation: 5*18=90
Current State: 30:[46, 49, 90], Operations: ['5*18=90']
Exploring Operation: 49-46=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 49-46=3
Current State: 30:[90, 3], Operations: ['5*18=90', '49-46=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
9,
56,
48,
86
] | 87 | [
"56-9=47",
"48+86=134",
"134-47=87"
] | Current State: 87:[9, 56, 48, 86], Operations: []
Exploring Operation: 56-9=47, Resulting Numbers: [48, 86, 47]
Generated Node #2: [48, 86, 47] from Operation: 56-9=47
Current State: 87:[48, 86, 47], Operations: ['56-9=47']
Exploring Operation: 48+86=134, Resulting Numbers: [47, 134]
Generated Node #3: [47, 134] from Operation: 48+86=134
Current State: 87:[47, 134], Operations: ['56-9=47', '48+86=134']
Exploring Operation: 134-47=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
28,
81,
46
] | 74 | [
"67-28=39",
"81-46=35",
"39+35=74"
] | Current State: 74:[67, 28, 81, 46], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [81, 46, 39]
Generated Node #2: [81, 46, 39] from Operation: 67-28=39
Current State: 74:[81, 46, 39], Operations: ['67-28=39']
Exploring Operation: 81-46=35, Resulting Numbers: [39, 35]
Generated Node #3: [39, 35] from Operation: 81-46=35
Current State: 74:[39, 35], Operations: ['67-28=39', '81-46=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
83,
7,
98,
93
] | 24 | [
"93-83=10",
"98/7=14",
"10+14=24"
] | Current State: 24:[83, 7, 98, 93], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [7, 98, 10]
Generated Node #2: [7, 98, 10] from Operation: 93-83=10
Current State: 24:[7, 98, 10], Operations: ['93-83=10']
Exploring Operation: 98/7=14, Resulting Numbers: [10, 14]
Generated Node #3: [10, 14] from Operation: 98/7=14
Current State: 24:[10, 14], Operations: ['93-83=10', '98/7=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
46,
77,
1,
62
] | 30 | [
"77-46=31",
"62-1=61",
"61-31=30"
] | Current State: 30:[46, 77, 1, 62], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [1, 62, 31]
Generated Node #2: [1, 62, 31] from Operation: 77-46=31
Current State: 30:[1, 62, 31], Operations: ['77-46=31']
Exploring Operation: 62-1=61, Resulting Numbers: [31, 61]
Generated Node #3: [31, 61] from Operation: 62-1=61
Current State: 30:[31, 61], Operations: ['77-46=31', '62-1=61']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
34,
69,
33,
35
] | 34 | [
"69-34=35",
"35/35=1",
"33+1=34"
] | Current State: 34:[34, 69, 33, 35], Operations: []
Exploring Operation: 69-34=35, Resulting Numbers: [33, 35, 35]
Generated Node #2: [33, 35, 35] from Operation: 69-34=35
Current State: 34:[33, 35, 35], Operations: ['69-34=35']
Exploring Operation: 35/35=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 35/35=1
Current State: 34:[33, 1], Operations: ['69-34=35', '35/35=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
67,
43,
78,
49
] | 53 | [
"67-43=24",
"78-49=29",
"24+29=53"
] | Current State: 53:[67, 43, 78, 49], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [78, 49, 24]
Generated Node #2: [78, 49, 24] from Operation: 67-43=24
Current State: 53:[78, 49, 24], Operations: ['67-43=24']
Exploring Operation: 78-49=29, Resulting Numbers: [24, 29]
Generated Node #3: [24, 29] from Operation: 78-49=29
Current State: 53:[24, 29], Operations: ['67-43=24', '78-49=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
84,
83,
2,
6
] | 95 | [
"84/6=14",
"83-2=81",
"14+81=95"
] | Current State: 95:[84, 83, 2, 6], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [83, 2, 14]
Generated Node #2: [83, 2, 14] from Operation: 84/6=14
Current State: 95:[83, 2, 14], Operations: ['84/6=14']
Exploring Operation: 83-2=81, Resulting Numbers: [14, 81]
Generated Node #3: [14, 81] from Operation: 83-2=81
Current State: 95:[14, 81], Operations: ['84/6=14', '83-2=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
33,
70,
67,
30
] | 41 | [
"70-67=3",
"33/3=11",
"30+11=41"
] | Current State: 41:[33, 70, 67, 30], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [33, 30, 3]
Generated Node #2: [33, 30, 3] from Operation: 70-67=3
Current State: 41:[33, 30, 3], Operations: ['70-67=3']
Exploring Operation: 33/3=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 33/3=11
Current State: 41:[30, 11], Operations: ['70-67=3', '33/3=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
26,
22,
7
] | 39 | [
"26-22=4",
"7*4=28",
"11+28=39"
] | Current State: 39:[11, 26, 22, 7], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [11, 7, 4]
Generated Node #2: [11, 7, 4] from Operation: 26-22=4
Current State: 39:[11, 7, 4], Operations: ['26-22=4']
Exploring Operation: 7*4=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 7*4=28
Current State: 39:[11, 28], Operations: ['26-22=4', '7*4=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
62,
20,
12
] | 11 | [
"6*62=372",
"372/12=31",
"31-20=11"
] | Current State: 11:[6, 62, 20, 12], Operations: []
Exploring Operation: 6*62=372, Resulting Numbers: [20, 12, 372]
Generated Node #2: [20, 12, 372] from Operation: 6*62=372
Current State: 11:[20, 12, 372], Operations: ['6*62=372']
Exploring Operation: 372/12=31, Resulting Numbers: [20, 31]
Generated Node #3: [20, 31] from Operation: 372/12=31
Current State: 11:[20, 31], Operations: ['6*62=372', '372/12=31']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
62,
33,
6,
78
] | 16 | [
"62-33=29",
"78/6=13",
"29-13=16"
] | Current State: 16:[62, 33, 6, 78], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [6, 78, 29]
Generated Node #2: [6, 78, 29] from Operation: 62-33=29
Current State: 16:[6, 78, 29], Operations: ['62-33=29']
Exploring Operation: 78/6=13, Resulting Numbers: [29, 13]
Generated Node #3: [29, 13] from Operation: 78/6=13
Current State: 16:[29, 13], Operations: ['62-33=29', '78/6=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
48,
43,
20,
16
] | 92 | [
"48*16=768",
"43*20=860",
"860-768=92"
] | Current State: 92:[48, 43, 20, 16], Operations: []
Exploring Operation: 48*16=768, Resulting Numbers: [43, 20, 768]
Generated Node #2: [43, 20, 768] from Operation: 48*16=768
Current State: 92:[43, 20, 768], Operations: ['48*16=768']
Exploring Operation: 43*20=860, Resulting Numbers: [768, 860]
Generated Node #3: [768, 860] from Operation: 43*20=860
Current State: 92:[768, 860], Operations: ['48*16=768', '43*20=860']
Exploring Operation: 860-768=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
76,
26,
92
] | 50 | [
"76+26=102",
"102-92=10",
"5*10=50"
] | Current State: 50:[5, 76, 26, 92], Operations: []
Exploring Operation: 76+26=102, Resulting Numbers: [5, 92, 102]
Generated Node #2: [5, 92, 102] from Operation: 76+26=102
Current State: 50:[5, 92, 102], Operations: ['76+26=102']
Exploring Operation: 102-92=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 102-92=10
Current State: 50:[5, 10], Operations: ['76+26=102', '102-92=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
37,
10,
84,
72
] | 83 | [
"84-72=12",
"10*12=120",
"120-37=83"
] | Current State: 83:[37, 10, 84, 72], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [37, 10, 12]
Generated Node #2: [37, 10, 12] from Operation: 84-72=12
Current State: 83:[37, 10, 12], Operations: ['84-72=12']
Exploring Operation: 10*12=120, Resulting Numbers: [37, 120]
Generated Node #3: [37, 120] from Operation: 10*12=120
Current State: 83:[37, 120], Operations: ['84-72=12', '10*12=120']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
53,
64,
35,
95
] | 71 | [
"64-53=11",
"95-35=60",
"11+60=71"
] | Current State: 71:[53, 64, 35, 95], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [35, 95, 11]
Generated Node #2: [35, 95, 11] from Operation: 64-53=11
Current State: 71:[35, 95, 11], Operations: ['64-53=11']
Exploring Operation: 95-35=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 95-35=60
Current State: 71:[11, 60], Operations: ['64-53=11', '95-35=60']
Exploring Operation: 11+60=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
59,
52,
52,
89
] | 89 | [
"52-52=0",
"59*0=0",
"89+0=89"
] | Current State: 89:[59, 52, 52, 89], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [59, 89, 0]
Generated Node #2: [59, 89, 0] from Operation: 52-52=0
Current State: 89:[59, 89, 0], Operations: ['52-52=0']
Exploring Operation: 59*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 59*0=0
Current State: 89:[89, 0], Operations: ['52-52=0', '59*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
85,
86,
57
] | 42 | [
"98-85=13",
"86-57=29",
"13+29=42"
] | Current State: 42:[98, 85, 86, 57], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [86, 57, 13]
Generated Node #2: [86, 57, 13] from Operation: 98-85=13
Current State: 42:[86, 57, 13], Operations: ['98-85=13']
Exploring Operation: 86-57=29, Resulting Numbers: [13, 29]
Generated Node #3: [13, 29] from Operation: 86-57=29
Current State: 42:[13, 29], Operations: ['98-85=13', '86-57=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
64,
48,
71,
16
] | 83 | [
"64/16=4",
"48/4=12",
"71+12=83"
] | Current State: 83:[64, 48, 71, 16], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [48, 71, 4]
Generated Node #2: [48, 71, 4] from Operation: 64/16=4
Current State: 83:[48, 71, 4], Operations: ['64/16=4']
Exploring Operation: 48/4=12, Resulting Numbers: [71, 12]
Generated Node #3: [71, 12] from Operation: 48/4=12
Current State: 83:[71, 12], Operations: ['64/16=4', '48/4=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
27,
15,
28
] | 19 | [
"34-27=7",
"28/7=4",
"15+4=19"
] | Current State: 19:[34, 27, 15, 28], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [15, 28, 7]
Generated Node #2: [15, 28, 7] from Operation: 34-27=7
Current State: 19:[15, 28, 7], Operations: ['34-27=7']
Exploring Operation: 28/7=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 28/7=4
Current State: 19:[15, 4], Operations: ['34-27=7', '28/7=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
83,
52,
81,
68
] | 60 | [
"83-81=2",
"52+68=120",
"120/2=60"
] | Current State: 60:[83, 52, 81, 68], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [52, 68, 2]
Generated Node #2: [52, 68, 2] from Operation: 83-81=2
Current State: 60:[52, 68, 2], Operations: ['83-81=2']
Exploring Operation: 52+68=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 52+68=120
Current State: 60:[2, 120], Operations: ['83-81=2', '52+68=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
52,
2,
98
] | 98 | [
"52-3=49",
"98/2=49",
"49+49=98"
] | Current State: 98:[3, 52, 2, 98], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [2, 98, 49]
Generated Node #2: [2, 98, 49] from Operation: 52-3=49
Current State: 98:[2, 98, 49], Operations: ['52-3=49']
Exploring Operation: 98/2=49, Resulting Numbers: [49, 49]
Generated Node #3: [49, 49] from Operation: 98/2=49
Current State: 98:[49, 49], Operations: ['52-3=49', '98/2=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
63,
48,
41,
95
] | 39 | [
"63-48=15",
"95-41=54",
"54-15=39"
] | Current State: 39:[63, 48, 41, 95], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [41, 95, 15]
Generated Node #2: [41, 95, 15] from Operation: 63-48=15
Current State: 39:[41, 95, 15], Operations: ['63-48=15']
Exploring Operation: 95-41=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 95-41=54
Current State: 39:[15, 54], Operations: ['63-48=15', '95-41=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
97,
53,
99,
27
] | 78 | [
"97+53=150",
"99-27=72",
"150-72=78"
] | Current State: 78:[97, 53, 99, 27], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [99, 27, 150]
Generated Node #2: [99, 27, 150] from Operation: 97+53=150
Current State: 78:[99, 27, 150], Operations: ['97+53=150']
Exploring Operation: 99-27=72, Resulting Numbers: [150, 72]
Generated Node #3: [150, 72] from Operation: 99-27=72
Current State: 78:[150, 72], Operations: ['97+53=150', '99-27=72']
Exploring Operation: 150-72=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
97,
61,
2,
47
] | 72 | [
"97-47=50",
"61*2=122",
"122-50=72"
] | Current State: 72:[97, 61, 2, 47], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [61, 2, 50]
Generated Node #2: [61, 2, 50] from Operation: 97-47=50
Current State: 72:[61, 2, 50], Operations: ['97-47=50']
Exploring Operation: 61*2=122, Resulting Numbers: [50, 122]
Generated Node #3: [50, 122] from Operation: 61*2=122
Current State: 72:[50, 122], Operations: ['97-47=50', '61*2=122']
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
30,
18,
60
] | 47 | [
"30-18=12",
"60/12=5",
"42+5=47"
] | Current State: 47:[42, 30, 18, 60], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [42, 60, 12]
Generated Node #2: [42, 60, 12] from Operation: 30-18=12
Current State: 47:[42, 60, 12], Operations: ['30-18=12']
Exploring Operation: 60/12=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 60/12=5
Current State: 47:[42, 5], Operations: ['30-18=12', '60/12=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
65,
22,
67
] | 23 | [
"65+67=132",
"132/22=6",
"29-6=23"
] | Current State: 23:[29, 65, 22, 67], Operations: []
Exploring Operation: 65+67=132, Resulting Numbers: [29, 22, 132]
Generated Node #2: [29, 22, 132] from Operation: 65+67=132
Current State: 23:[29, 22, 132], Operations: ['65+67=132']
Exploring Operation: 132/22=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 132/22=6
Current State: 23:[29, 6], Operations: ['65+67=132', '132/22=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
89,
27,
8,
51
] | 19 | [
"89-27=62",
"51-8=43",
"62-43=19"
] | Current State: 19:[89, 27, 8, 51], Operations: []
Exploring Operation: 89-27=62, Resulting Numbers: [8, 51, 62]
Generated Node #2: [8, 51, 62] from Operation: 89-27=62
Current State: 19:[8, 51, 62], Operations: ['89-27=62']
Exploring Operation: 51-8=43, Resulting Numbers: [62, 43]
Generated Node #3: [62, 43] from Operation: 51-8=43
Current State: 19:[62, 43], Operations: ['89-27=62', '51-8=43']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
41,
76,
70,
45
] | 10 | [
"76-41=35",
"70-45=25",
"35-25=10"
] | Current State: 10:[41, 76, 70, 45], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [70, 45, 35]
Generated Node #2: [70, 45, 35] from Operation: 76-41=35
Current State: 10:[70, 45, 35], Operations: ['76-41=35']
Exploring Operation: 70-45=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 70-45=25
Current State: 10:[35, 25], Operations: ['76-41=35', '70-45=25']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
77,
84,
6,
65
] | 42 | [
"77-65=12",
"84*6=504",
"504/12=42"
] | Current State: 42:[77, 84, 6, 65], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [84, 6, 12]
Generated Node #2: [84, 6, 12] from Operation: 77-65=12
Current State: 42:[84, 6, 12], Operations: ['77-65=12']
Exploring Operation: 84*6=504, Resulting Numbers: [12, 504]
Generated Node #3: [12, 504] from Operation: 84*6=504
Current State: 42:[12, 504], Operations: ['77-65=12', '84*6=504']
Exploring Operation: 504/12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
18,
25,
34,
4
] | 89 | [
"34-18=16",
"4*16=64",
"25+64=89"
] | Current State: 89:[18, 25, 34, 4], Operations: []
Exploring Operation: 34-18=16, Resulting Numbers: [25, 4, 16]
Generated Node #2: [25, 4, 16] from Operation: 34-18=16
Current State: 89:[25, 4, 16], Operations: ['34-18=16']
Exploring Operation: 4*16=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 4*16=64
Current State: 89:[25, 64], Operations: ['34-18=16', '4*16=64']
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
90,
66,
43,
18
] | 85 | [
"90-66=24",
"43+18=61",
"24+61=85"
] | Current State: 85:[90, 66, 43, 18], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [43, 18, 24]
Generated Node #2: [43, 18, 24] from Operation: 90-66=24
Current State: 85:[43, 18, 24], Operations: ['90-66=24']
Exploring Operation: 43+18=61, Resulting Numbers: [24, 61]
Generated Node #3: [24, 61] from Operation: 43+18=61
Current State: 85:[24, 61], Operations: ['90-66=24', '43+18=61']
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
17,
50,
28
] | 23 | [
"50+28=78",
"78/13=6",
"17+6=23"
] | Current State: 23:[13, 17, 50, 28], Operations: []
Exploring Operation: 50+28=78, Resulting Numbers: [13, 17, 78]
Generated Node #2: [13, 17, 78] from Operation: 50+28=78
Current State: 23:[13, 17, 78], Operations: ['50+28=78']
Exploring Operation: 78/13=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 78/13=6
Current State: 23:[17, 6], Operations: ['50+28=78', '78/13=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
4,
38,
47
] | 85 | [
"47-38=9",
"9*9=81",
"4+81=85"
] | Current State: 85:[9, 4, 38, 47], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [9, 4, 9]
Generated Node #2: [9, 4, 9] from Operation: 47-38=9
Current State: 85:[9, 4, 9], Operations: ['47-38=9']
Exploring Operation: 9*9=81, Resulting Numbers: [4, 81]
Generated Node #3: [4, 81] from Operation: 9*9=81
Current State: 85:[4, 81], Operations: ['47-38=9', '9*9=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
7,
85,
74,
61
] | 91 | [
"85-7=78",
"74-61=13",
"78+13=91"
] | Current State: 91:[7, 85, 74, 61], Operations: []
Exploring Operation: 85-7=78, Resulting Numbers: [74, 61, 78]
Generated Node #2: [74, 61, 78] from Operation: 85-7=78
Current State: 91:[74, 61, 78], Operations: ['85-7=78']
Exploring Operation: 74-61=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 74-61=13
Current State: 91:[78, 13], Operations: ['85-7=78', '74-61=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
56,
1,
27,
46
] | 92 | [
"56*46=2576",
"1+27=28",
"2576/28=92"
] | Current State: 92:[56, 1, 27, 46], Operations: []
Exploring Operation: 56*46=2576, Resulting Numbers: [1, 27, 2576]
Generated Node #2: [1, 27, 2576] from Operation: 56*46=2576
Current State: 92:[1, 27, 2576], Operations: ['56*46=2576']
Exploring Operation: 1+27=28, Resulting Numbers: [2576, 28]
Generated Node #3: [2576, 28] from Operation: 1+27=28
Current State: 92:[2576, 28], Operations: ['56*46=2576', '1+27=28']
Exploring Operation: 2576/28=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
67,
85,
45,
19
] | 46 | [
"85-67=18",
"45+19=64",
"64-18=46"
] | Current State: 46:[67, 85, 45, 19], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [45, 19, 18]
Generated Node #2: [45, 19, 18] from Operation: 85-67=18
Current State: 46:[45, 19, 18], Operations: ['85-67=18']
Exploring Operation: 45+19=64, Resulting Numbers: [18, 64]
Generated Node #3: [18, 64] from Operation: 45+19=64
Current State: 46:[18, 64], Operations: ['85-67=18', '45+19=64']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
27,
96,
90,
16
] | 57 | [
"90-27=63",
"96/16=6",
"63-6=57"
] | Current State: 57:[27, 96, 90, 16], Operations: []
Exploring Operation: 90-27=63, Resulting Numbers: [96, 16, 63]
Generated Node #2: [96, 16, 63] from Operation: 90-27=63
Current State: 57:[96, 16, 63], Operations: ['90-27=63']
Exploring Operation: 96/16=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 96/16=6
Current State: 57:[63, 6], Operations: ['90-27=63', '96/16=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
45,
13,
76,
45
] | 89 | [
"45+13=58",
"76-45=31",
"58+31=89"
] | Current State: 89:[45, 13, 76, 45], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [76, 58]
Generated Node #2: [76, 58] from Operation: 45+13=58
Current State: 89:[76, 58], Operations: ['45+13=58']
Exploring Operation: 76-45=31, Resulting Numbers: [58, 31]
Generated Node #3: [58, 31] from Operation: 76-45=31
Current State: 89:[58, 31], Operations: ['45+13=58', '76-45=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
95,
5,
80,
62
] | 52 | [
"95-5=90",
"80+62=142",
"142-90=52"
] | Current State: 52:[95, 5, 80, 62], Operations: []
Exploring Operation: 95-5=90, Resulting Numbers: [80, 62, 90]
Generated Node #2: [80, 62, 90] from Operation: 95-5=90
Current State: 52:[80, 62, 90], Operations: ['95-5=90']
Exploring Operation: 80+62=142, Resulting Numbers: [90, 142]
Generated Node #3: [90, 142] from Operation: 80+62=142
Current State: 52:[90, 142], Operations: ['95-5=90', '80+62=142']
Exploring Operation: 142-90=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
64,
42,
99,
25
] | 52 | [
"64-42=22",
"99-25=74",
"74-22=52"
] | Current State: 52:[64, 42, 99, 25], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [99, 25, 22]
Generated Node #2: [99, 25, 22] from Operation: 64-42=22
Current State: 52:[99, 25, 22], Operations: ['64-42=22']
Exploring Operation: 99-25=74, Resulting Numbers: [22, 74]
Generated Node #3: [22, 74] from Operation: 99-25=74
Current State: 52:[22, 74], Operations: ['64-42=22', '99-25=74']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
29,
56,
8,
42
] | 23 | [
"56-29=27",
"8+42=50",
"50-27=23"
] | Current State: 23:[29, 56, 8, 42], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [8, 42, 27]
Generated Node #2: [8, 42, 27] from Operation: 56-29=27
Current State: 23:[8, 42, 27], Operations: ['56-29=27']
Exploring Operation: 8+42=50, Resulting Numbers: [27, 50]
Generated Node #3: [27, 50] from Operation: 8+42=50
Current State: 23:[27, 50], Operations: ['56-29=27', '8+42=50']
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
8,
85,
92,
18
] | 33 | [
"85-8=77",
"92+18=110",
"110-77=33"
] | Current State: 33:[8, 85, 92, 18], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [92, 18, 77]
Generated Node #2: [92, 18, 77] from Operation: 85-8=77
Current State: 33:[92, 18, 77], Operations: ['85-8=77']
Exploring Operation: 92+18=110, Resulting Numbers: [77, 110]
Generated Node #3: [77, 110] from Operation: 92+18=110
Current State: 33:[77, 110], Operations: ['85-8=77', '92+18=110']
Exploring Operation: 110-77=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
18,
52,
71,
92
] | 55 | [
"52-18=34",
"92-71=21",
"34+21=55"
] | Current State: 55:[18, 52, 71, 92], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [71, 92, 34]
Generated Node #2: [71, 92, 34] from Operation: 52-18=34
Current State: 55:[71, 92, 34], Operations: ['52-18=34']
Exploring Operation: 92-71=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 92-71=21
Current State: 55:[34, 21], Operations: ['52-18=34', '92-71=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
67,
92,
62,
64
] | 33 | [
"67+92=159",
"62+64=126",
"159-126=33"
] | Current State: 33:[67, 92, 62, 64], Operations: []
Exploring Operation: 67+92=159, Resulting Numbers: [62, 64, 159]
Generated Node #2: [62, 64, 159] from Operation: 67+92=159
Current State: 33:[62, 64, 159], Operations: ['67+92=159']
Exploring Operation: 62+64=126, Resulting Numbers: [159, 126]
Generated Node #3: [159, 126] from Operation: 62+64=126
Current State: 33:[159, 126], Operations: ['67+92=159', '62+64=126']
Exploring Operation: 159-126=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
82,
52,
19,
98
] | 55 | [
"82+52=134",
"98-19=79",
"134-79=55"
] | Current State: 55:[82, 52, 19, 98], Operations: []
Exploring Operation: 82+52=134, Resulting Numbers: [19, 98, 134]
Generated Node #2: [19, 98, 134] from Operation: 82+52=134
Current State: 55:[19, 98, 134], Operations: ['82+52=134']
Exploring Operation: 98-19=79, Resulting Numbers: [134, 79]
Generated Node #3: [134, 79] from Operation: 98-19=79
Current State: 55:[134, 79], Operations: ['82+52=134', '98-19=79']
Exploring Operation: 134-79=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
32,
12,
69
] | 77 | [
"48/12=4",
"32/4=8",
"69+8=77"
] | Current State: 77:[48, 32, 12, 69], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [32, 69, 4]
Generated Node #2: [32, 69, 4] from Operation: 48/12=4
Current State: 77:[32, 69, 4], Operations: ['48/12=4']
Exploring Operation: 32/4=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 32/4=8
Current State: 77:[69, 8], Operations: ['48/12=4', '32/4=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
84,
92,
11,
57
] | 41 | [
"84+92=176",
"176/11=16",
"57-16=41"
] | Current State: 41:[84, 92, 11, 57], Operations: []
Exploring Operation: 84+92=176, Resulting Numbers: [11, 57, 176]
Generated Node #2: [11, 57, 176] from Operation: 84+92=176
Current State: 41:[11, 57, 176], Operations: ['84+92=176']
Exploring Operation: 176/11=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 176/11=16
Current State: 41:[57, 16], Operations: ['84+92=176', '176/11=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
64,
1,
12
] | 77 | [
"1+64=65",
"1*12=12",
"65+12=77"
] | Current State: 77:[1, 64, 1, 12], Operations: []
Exploring Operation: 1+64=65, Resulting Numbers: [12, 65]
Generated Node #2: [12, 65] from Operation: 1+64=65
Current State: 77:[12, 65], Operations: ['1+64=65']
Exploring Operation: 1*12=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 1*12=12
Current State: 77:[65, 12], Operations: ['1+64=65', '1*12=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
53,
46,
85,
70
] | 56 | [
"53+46=99",
"85+70=155",
"155-99=56"
] | Current State: 56:[53, 46, 85, 70], Operations: []
Exploring Operation: 53+46=99, Resulting Numbers: [85, 70, 99]
Generated Node #2: [85, 70, 99] from Operation: 53+46=99
Current State: 56:[85, 70, 99], Operations: ['53+46=99']
Exploring Operation: 85+70=155, Resulting Numbers: [99, 155]
Generated Node #3: [99, 155] from Operation: 85+70=155
Current State: 56:[99, 155], Operations: ['53+46=99', '85+70=155']
Exploring Operation: 155-99=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
42,
31,
10,
6
] | 76 | [
"42-31=11",
"6*11=66",
"10+66=76"
] | Current State: 76:[42, 31, 10, 6], Operations: []
Exploring Operation: 42-31=11, Resulting Numbers: [10, 6, 11]
Generated Node #2: [10, 6, 11] from Operation: 42-31=11
Current State: 76:[10, 6, 11], Operations: ['42-31=11']
Exploring Operation: 6*11=66, Resulting Numbers: [10, 66]
Generated Node #3: [10, 66] from Operation: 6*11=66
Current State: 76:[10, 66], Operations: ['42-31=11', '6*11=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
4,
82,
53,
13
] | 15 | [
"13-4=9",
"82+53=135",
"135/9=15"
] | Current State: 15:[4, 82, 53, 13], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [82, 53, 9]
Generated Node #2: [82, 53, 9] from Operation: 13-4=9
Current State: 15:[82, 53, 9], Operations: ['13-4=9']
Exploring Operation: 82+53=135, Resulting Numbers: [9, 135]
Generated Node #3: [9, 135] from Operation: 82+53=135
Current State: 15:[9, 135], Operations: ['13-4=9', '82+53=135']
Exploring Operation: 135/9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
97,
50,
55
] | 74 | [
"82+97=179",
"50+55=105",
"179-105=74"
] | Current State: 74:[82, 97, 50, 55], Operations: []
Exploring Operation: 82+97=179, Resulting Numbers: [50, 55, 179]
Generated Node #2: [50, 55, 179] from Operation: 82+97=179
Current State: 74:[50, 55, 179], Operations: ['82+97=179']
Exploring Operation: 50+55=105, Resulting Numbers: [179, 105]
Generated Node #3: [179, 105] from Operation: 50+55=105
Current State: 74:[179, 105], Operations: ['82+97=179', '50+55=105']
Exploring Operation: 179-105=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
86,
15,
62
] | 90 | [
"81+86=167",
"15+62=77",
"167-77=90"
] | Current State: 90:[81, 86, 15, 62], Operations: []
Exploring Operation: 81+86=167, Resulting Numbers: [15, 62, 167]
Generated Node #2: [15, 62, 167] from Operation: 81+86=167
Current State: 90:[15, 62, 167], Operations: ['81+86=167']
Exploring Operation: 15+62=77, Resulting Numbers: [167, 77]
Generated Node #3: [167, 77] from Operation: 15+62=77
Current State: 90:[167, 77], Operations: ['81+86=167', '15+62=77']
Exploring Operation: 167-77=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
47,
92,
93,
89
] | 70 | [
"93-89=4",
"92/4=23",
"47+23=70"
] | Current State: 70:[47, 92, 93, 89], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [47, 92, 4]
Generated Node #2: [47, 92, 4] from Operation: 93-89=4
Current State: 70:[47, 92, 4], Operations: ['93-89=4']
Exploring Operation: 92/4=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 92/4=23
Current State: 70:[47, 23], Operations: ['93-89=4', '92/4=23']
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
51,
80,
72,
87
] | 78 | [
"87-51=36",
"72/36=2",
"80-2=78"
] | Current State: 78:[51, 80, 72, 87], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [80, 72, 36]
Generated Node #2: [80, 72, 36] from Operation: 87-51=36
Current State: 78:[80, 72, 36], Operations: ['87-51=36']
Exploring Operation: 72/36=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 72/36=2
Current State: 78:[80, 2], Operations: ['87-51=36', '72/36=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
60,
42,
33,
86
] | 17 | [
"60+42=102",
"33+86=119",
"119-102=17"
] | Current State: 17:[60, 42, 33, 86], Operations: []
Exploring Operation: 60+42=102, Resulting Numbers: [33, 86, 102]
Generated Node #2: [33, 86, 102] from Operation: 60+42=102
Current State: 17:[33, 86, 102], Operations: ['60+42=102']
Exploring Operation: 33+86=119, Resulting Numbers: [102, 119]
Generated Node #3: [102, 119] from Operation: 33+86=119
Current State: 17:[102, 119], Operations: ['60+42=102', '33+86=119']
Exploring Operation: 119-102=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
48,
25,
37
] | 17 | [
"48*25=1200",
"1200/60=20",
"37-20=17"
] | Current State: 17:[60, 48, 25, 37], Operations: []
Exploring Operation: 48*25=1200, Resulting Numbers: [60, 37, 1200]
Generated Node #2: [60, 37, 1200] from Operation: 48*25=1200
Current State: 17:[60, 37, 1200], Operations: ['48*25=1200']
Exploring Operation: 1200/60=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 1200/60=20
Current State: 17:[37, 20], Operations: ['48*25=1200', '1200/60=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
84,
47,
34
] | 36 | [
"10+84=94",
"94/47=2",
"34+2=36"
] | Current State: 36:[10, 84, 47, 34], Operations: []
Exploring Operation: 10+84=94, Resulting Numbers: [47, 34, 94]
Generated Node #2: [47, 34, 94] from Operation: 10+84=94
Current State: 36:[47, 34, 94], Operations: ['10+84=94']
Exploring Operation: 94/47=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 94/47=2
Current State: 36:[34, 2], Operations: ['10+84=94', '94/47=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
12,
46,
62,
38
] | 92 | [
"62-38=24",
"24/12=2",
"46*2=92"
] | Current State: 92:[12, 46, 62, 38], Operations: []
Exploring Operation: 62-38=24, Resulting Numbers: [12, 46, 24]
Generated Node #2: [12, 46, 24] from Operation: 62-38=24
Current State: 92:[12, 46, 24], Operations: ['62-38=24']
Exploring Operation: 24/12=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 24/12=2
Current State: 92:[46, 2], Operations: ['62-38=24', '24/12=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
66,
60,
51
] | 58 | [
"66-17=49",
"60-51=9",
"49+9=58"
] | Current State: 58:[17, 66, 60, 51], Operations: []
Exploring Operation: 66-17=49, Resulting Numbers: [60, 51, 49]
Generated Node #2: [60, 51, 49] from Operation: 66-17=49
Current State: 58:[60, 51, 49], Operations: ['66-17=49']
Exploring Operation: 60-51=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 60-51=9
Current State: 58:[49, 9], Operations: ['66-17=49', '60-51=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
31,
9,
70,
97
] | 13 | [
"31+9=40",
"97-70=27",
"40-27=13"
] | Current State: 13:[31, 9, 70, 97], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [70, 97, 40]
Generated Node #2: [70, 97, 40] from Operation: 31+9=40
Current State: 13:[70, 97, 40], Operations: ['31+9=40']
Exploring Operation: 97-70=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 97-70=27
Current State: 13:[40, 27], Operations: ['31+9=40', '97-70=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
12,
23,
23,
85
] | 51 | [
"23-12=11",
"85-23=62",
"62-11=51"
] | Current State: 51:[12, 23, 23, 85], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [85, 11]
Generated Node #2: [85, 11] from Operation: 23-12=11
Current State: 51:[85, 11], Operations: ['23-12=11']
Exploring Operation: 85-23=62, Resulting Numbers: [11, 62]
Generated Node #3: [11, 62] from Operation: 85-23=62
Current State: 51:[11, 62], Operations: ['23-12=11', '85-23=62']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
16,
38,
80
] | 40 | [
"16-14=2",
"80-38=42",
"42-2=40"
] | Current State: 40:[14, 16, 38, 80], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [38, 80, 2]
Generated Node #2: [38, 80, 2] from Operation: 16-14=2
Current State: 40:[38, 80, 2], Operations: ['16-14=2']
Exploring Operation: 80-38=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 80-38=42
Current State: 40:[2, 42], Operations: ['16-14=2', '80-38=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
70,
8,
72,
99
] | 35 | [
"70-8=62",
"99-72=27",
"62-27=35"
] | Current State: 35:[70, 8, 72, 99], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [72, 99, 62]
Generated Node #2: [72, 99, 62] from Operation: 70-8=62
Current State: 35:[72, 99, 62], Operations: ['70-8=62']
Exploring Operation: 99-72=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 99-72=27
Current State: 35:[62, 27], Operations: ['70-8=62', '99-72=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
15,
41,
3,
85
] | 47 | [
"15+41=56",
"85+56=141",
"141/3=47"
] | Current State: 47:[15, 41, 3, 85], Operations: []
Exploring Operation: 15+41=56, Resulting Numbers: [3, 85, 56]
Generated Node #2: [3, 85, 56] from Operation: 15+41=56
Current State: 47:[3, 85, 56], Operations: ['15+41=56']
Exploring Operation: 85+56=141, Resulting Numbers: [3, 141]
Generated Node #3: [3, 141] from Operation: 85+56=141
Current State: 47:[3, 141], Operations: ['15+41=56', '85+56=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
37,
50,
86
] | 45 | [
"37+50=87",
"87-86=1",
"45*1=45"
] | Current State: 45:[45, 37, 50, 86], Operations: []
Exploring Operation: 37+50=87, Resulting Numbers: [45, 86, 87]
Generated Node #2: [45, 86, 87] from Operation: 37+50=87
Current State: 45:[45, 86, 87], Operations: ['37+50=87']
Exploring Operation: 87-86=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 87-86=1
Current State: 45:[45, 1], Operations: ['37+50=87', '87-86=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
52,
79,
12,
1
] | 83 | [
"12+1=13",
"52/13=4",
"79+4=83"
] | Current State: 83:[52, 79, 12, 1], Operations: []
Exploring Operation: 12+1=13, Resulting Numbers: [52, 79, 13]
Generated Node #2: [52, 79, 13] from Operation: 12+1=13
Current State: 83:[52, 79, 13], Operations: ['12+1=13']
Exploring Operation: 52/13=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 52/13=4
Current State: 83:[79, 4], Operations: ['12+1=13', '52/13=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
86,
5,
39,
46
] | 88 | [
"86-5=81",
"46-39=7",
"81+7=88"
] | Current State: 88:[86, 5, 39, 46], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [39, 46, 81]
Generated Node #2: [39, 46, 81] from Operation: 86-5=81
Current State: 88:[39, 46, 81], Operations: ['86-5=81']
Exploring Operation: 46-39=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 46-39=7
Current State: 88:[81, 7], Operations: ['86-5=81', '46-39=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
68,
12,
28,
63
] | 71 | [
"68+28=96",
"96/12=8",
"63+8=71"
] | Current State: 71:[68, 12, 28, 63], Operations: []
Exploring Operation: 68+28=96, Resulting Numbers: [12, 63, 96]
Generated Node #2: [12, 63, 96] from Operation: 68+28=96
Current State: 71:[12, 63, 96], Operations: ['68+28=96']
Exploring Operation: 96/12=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 96/12=8
Current State: 71:[63, 8], Operations: ['68+28=96', '96/12=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
77,
14,
99
] | 95 | [
"77+14=91",
"99+91=190",
"190/2=95"
] | Current State: 95:[2, 77, 14, 99], Operations: []
Exploring Operation: 77+14=91, Resulting Numbers: [2, 99, 91]
Generated Node #2: [2, 99, 91] from Operation: 77+14=91
Current State: 95:[2, 99, 91], Operations: ['77+14=91']
Exploring Operation: 99+91=190, Resulting Numbers: [2, 190]
Generated Node #3: [2, 190] from Operation: 99+91=190
Current State: 95:[2, 190], Operations: ['77+14=91', '99+91=190']
Exploring Operation: 190/2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
84,
79,
18
] | 29 | [
"84-79=5",
"55/5=11",
"18+11=29"
] | Current State: 29:[55, 84, 79, 18], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [55, 18, 5]
Generated Node #2: [55, 18, 5] from Operation: 84-79=5
Current State: 29:[55, 18, 5], Operations: ['84-79=5']
Exploring Operation: 55/5=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 55/5=11
Current State: 29:[18, 11], Operations: ['84-79=5', '55/5=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
54,
40,
40,
6
] | 47 | [
"54-6=48",
"40/40=1",
"48-1=47"
] | Current State: 47:[54, 40, 40, 6], Operations: []
Exploring Operation: 54-6=48, Resulting Numbers: [40, 40, 48]
Generated Node #2: [40, 40, 48] from Operation: 54-6=48
Current State: 47:[40, 40, 48], Operations: ['54-6=48']
Exploring Operation: 40/40=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 40/40=1
Current State: 47:[48, 1], Operations: ['54-6=48', '40/40=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
64,
55,
20,
83
] | 97 | [
"64-55=9",
"20*9=180",
"180-83=97"
] | Current State: 97:[64, 55, 20, 83], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [20, 83, 9]
Generated Node #2: [20, 83, 9] from Operation: 64-55=9
Current State: 97:[20, 83, 9], Operations: ['64-55=9']
Exploring Operation: 20*9=180, Resulting Numbers: [83, 180]
Generated Node #3: [83, 180] from Operation: 20*9=180
Current State: 97:[83, 180], Operations: ['64-55=9', '20*9=180']
Exploring Operation: 180-83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
20,
76,
4
] | 81 | [
"96+4=100",
"100/20=5",
"76+5=81"
] | Current State: 81:[96, 20, 76, 4], Operations: []
Exploring Operation: 96+4=100, Resulting Numbers: [20, 76, 100]
Generated Node #2: [20, 76, 100] from Operation: 96+4=100
Current State: 81:[20, 76, 100], Operations: ['96+4=100']
Exploring Operation: 100/20=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 100/20=5
Current State: 81:[76, 5], Operations: ['96+4=100', '100/20=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
32,
18,
16
] | 56 | [
"22+32=54",
"18-16=2",
"54+2=56"
] | Current State: 56:[22, 32, 18, 16], Operations: []
Exploring Operation: 22+32=54, Resulting Numbers: [18, 16, 54]
Generated Node #2: [18, 16, 54] from Operation: 22+32=54
Current State: 56:[18, 16, 54], Operations: ['22+32=54']
Exploring Operation: 18-16=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 18-16=2
Current State: 56:[54, 2], Operations: ['22+32=54', '18-16=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
2,
22,
17
] | 28 | [
"55+17=72",
"2*22=44",
"72-44=28"
] | Current State: 28:[55, 2, 22, 17], Operations: []
Exploring Operation: 55+17=72, Resulting Numbers: [2, 22, 72]
Generated Node #2: [2, 22, 72] from Operation: 55+17=72
Current State: 28:[2, 22, 72], Operations: ['55+17=72']
Exploring Operation: 2*22=44, Resulting Numbers: [72, 44]
Generated Node #3: [72, 44] from Operation: 2*22=44
Current State: 28:[72, 44], Operations: ['55+17=72', '2*22=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
56,
74,
5,
43
] | 69 | [
"56+74=130",
"130/5=26",
"43+26=69"
] | Current State: 69:[56, 74, 5, 43], Operations: []
Exploring Operation: 56+74=130, Resulting Numbers: [5, 43, 130]
Generated Node #2: [5, 43, 130] from Operation: 56+74=130
Current State: 69:[5, 43, 130], Operations: ['56+74=130']
Exploring Operation: 130/5=26, Resulting Numbers: [43, 26]
Generated Node #3: [43, 26] from Operation: 130/5=26
Current State: 69:[43, 26], Operations: ['56+74=130', '130/5=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
36,
75,
47,
34
] | 26 | [
"75-36=39",
"47-34=13",
"39-13=26"
] | Current State: 26:[36, 75, 47, 34], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [47, 34, 39]
Generated Node #2: [47, 34, 39] from Operation: 75-36=39
Current State: 26:[47, 34, 39], Operations: ['75-36=39']
Exploring Operation: 47-34=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 47-34=13
Current State: 26:[39, 13], Operations: ['75-36=39', '47-34=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
29,
58,
82,
27
] | 68 | [
"58/29=2",
"82/2=41",
"27+41=68"
] | Current State: 68:[29, 58, 82, 27], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [82, 27, 2]
Generated Node #2: [82, 27, 2] from Operation: 58/29=2
Current State: 68:[82, 27, 2], Operations: ['58/29=2']
Exploring Operation: 82/2=41, Resulting Numbers: [27, 41]
Generated Node #3: [27, 41] from Operation: 82/2=41
Current State: 68:[27, 41], Operations: ['58/29=2', '82/2=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
65,
11,
2
] | 69 | [
"11+2=13",
"52/13=4",
"65+4=69"
] | Current State: 69:[52, 65, 11, 2], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [52, 65, 13]
Generated Node #2: [52, 65, 13] from Operation: 11+2=13
Current State: 69:[52, 65, 13], Operations: ['11+2=13']
Exploring Operation: 52/13=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 52/13=4
Current State: 69:[65, 4], Operations: ['11+2=13', '52/13=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
8,
6,
30,
7
] | 60 | [
"8+6=14",
"30*14=420",
"420/7=60"
] | Current State: 60:[8, 6, 30, 7], Operations: []
Exploring Operation: 8+6=14, Resulting Numbers: [30, 7, 14]
Generated Node #2: [30, 7, 14] from Operation: 8+6=14
Current State: 60:[30, 7, 14], Operations: ['8+6=14']
Exploring Operation: 30*14=420, Resulting Numbers: [7, 420]
Generated Node #3: [7, 420] from Operation: 30*14=420
Current State: 60:[7, 420], Operations: ['8+6=14', '30*14=420']
Exploring Operation: 420/7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
34,
61,
10,
29
] | 43 | [
"61+29=90",
"90/10=9",
"34+9=43"
] | Current State: 43:[34, 61, 10, 29], Operations: []
Exploring Operation: 61+29=90, Resulting Numbers: [34, 10, 90]
Generated Node #2: [34, 10, 90] from Operation: 61+29=90
Current State: 43:[34, 10, 90], Operations: ['61+29=90']
Exploring Operation: 90/10=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 90/10=9
Current State: 43:[34, 9], Operations: ['61+29=90', '90/10=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
15,
91,
32
] | 50 | [
"15-6=9",
"91-32=59",
"59-9=50"
] | Current State: 50:[6, 15, 91, 32], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [91, 32, 9]
Generated Node #2: [91, 32, 9] from Operation: 15-6=9
Current State: 50:[91, 32, 9], Operations: ['15-6=9']
Exploring Operation: 91-32=59, Resulting Numbers: [9, 59]
Generated Node #3: [9, 59] from Operation: 91-32=59
Current State: 50:[9, 59], Operations: ['15-6=9', '91-32=59']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
89,
8,
83,
96
] | 83 | [
"89+8=97",
"97-96=1",
"83*1=83"
] | Current State: 83:[89, 8, 83, 96], Operations: []
Exploring Operation: 89+8=97, Resulting Numbers: [83, 96, 97]
Generated Node #2: [83, 96, 97] from Operation: 89+8=97
Current State: 83:[83, 96, 97], Operations: ['89+8=97']
Exploring Operation: 97-96=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 97-96=1
Current State: 83:[83, 1], Operations: ['89+8=97', '97-96=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
46,
47,
7,
2
] | 98 | [
"46+47=93",
"7-2=5",
"93+5=98"
] | Current State: 98:[46, 47, 7, 2], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [7, 2, 93]
Generated Node #2: [7, 2, 93] from Operation: 46+47=93
Current State: 98:[7, 2, 93], Operations: ['46+47=93']
Exploring Operation: 7-2=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 7-2=5
Current State: 98:[93, 5], Operations: ['46+47=93', '7-2=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
79,
93,
95,
71
] | 10 | [
"93-79=14",
"95-71=24",
"24-14=10"
] | Current State: 10:[79, 93, 95, 71], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [95, 71, 14]
Generated Node #2: [95, 71, 14] from Operation: 93-79=14
Current State: 10:[95, 71, 14], Operations: ['93-79=14']
Exploring Operation: 95-71=24, Resulting Numbers: [14, 24]
Generated Node #3: [14, 24] from Operation: 95-71=24
Current State: 10:[14, 24], Operations: ['93-79=14', '95-71=24']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
74,
91,
18,
63
] | 98 | [
"91-74=17",
"18+63=81",
"17+81=98"
] | Current State: 98:[74, 91, 18, 63], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [18, 63, 17]
Generated Node #2: [18, 63, 17] from Operation: 91-74=17
Current State: 98:[18, 63, 17], Operations: ['91-74=17']
Exploring Operation: 18+63=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 18+63=81
Current State: 98:[17, 81], Operations: ['91-74=17', '18+63=81']
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
1,
78,
63,
27
] | 33 | [
"78-1=77",
"27*77=2079",
"2079/63=33"
] | Current State: 33:[1, 78, 63, 27], Operations: []
Exploring Operation: 78-1=77, Resulting Numbers: [63, 27, 77]
Generated Node #2: [63, 27, 77] from Operation: 78-1=77
Current State: 33:[63, 27, 77], Operations: ['78-1=77']
Exploring Operation: 27*77=2079, Resulting Numbers: [63, 2079]
Generated Node #3: [63, 2079] from Operation: 27*77=2079
Current State: 33:[63, 2079], Operations: ['78-1=77', '27*77=2079']
Exploring Operation: 2079/63=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
59,
44,
64,
76
] | 61 | [
"76-44=32",
"64/32=2",
"59+2=61"
] | Current State: 61:[59, 44, 64, 76], Operations: []
Exploring Operation: 76-44=32, Resulting Numbers: [59, 64, 32]
Generated Node #2: [59, 64, 32] from Operation: 76-44=32
Current State: 61:[59, 64, 32], Operations: ['76-44=32']
Exploring Operation: 64/32=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 64/32=2
Current State: 61:[59, 2], Operations: ['76-44=32', '64/32=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
47,
32,
63,
76
] | 60 | [
"47+32=79",
"63+76=139",
"139-79=60"
] | Current State: 60:[47, 32, 63, 76], Operations: []
Exploring Operation: 47+32=79, Resulting Numbers: [63, 76, 79]
Generated Node #2: [63, 76, 79] from Operation: 47+32=79
Current State: 60:[63, 76, 79], Operations: ['47+32=79']
Exploring Operation: 63+76=139, Resulting Numbers: [79, 139]
Generated Node #3: [79, 139] from Operation: 63+76=139
Current State: 60:[79, 139], Operations: ['47+32=79', '63+76=139']
Exploring Operation: 139-79=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
79,
13,
11,
95
] | 14 | [
"79+13=92",
"11+95=106",
"106-92=14"
] | Current State: 14:[79, 13, 11, 95], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [11, 95, 92]
Generated Node #2: [11, 95, 92] from Operation: 79+13=92
Current State: 14:[11, 95, 92], Operations: ['79+13=92']
Exploring Operation: 11+95=106, Resulting Numbers: [92, 106]
Generated Node #3: [92, 106] from Operation: 11+95=106
Current State: 14:[92, 106], Operations: ['79+13=92', '11+95=106']
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
21,
56,
28
] | 61 | [
"12+21=33",
"56-28=28",
"33+28=61"
] | Current State: 61:[12, 21, 56, 28], Operations: []
Exploring Operation: 12+21=33, Resulting Numbers: [56, 28, 33]
Generated Node #2: [56, 28, 33] from Operation: 12+21=33
Current State: 61:[56, 28, 33], Operations: ['12+21=33']
Exploring Operation: 56-28=28, Resulting Numbers: [33, 28]
Generated Node #3: [33, 28] from Operation: 56-28=28
Current State: 61:[33, 28], Operations: ['12+21=33', '56-28=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
78,
55,
66,
45
] | 24 | [
"66*45=2970",
"2970/55=54",
"78-54=24"
] | Current State: 24:[78, 55, 66, 45], Operations: []
Exploring Operation: 66*45=2970, Resulting Numbers: [78, 55, 2970]
Generated Node #2: [78, 55, 2970] from Operation: 66*45=2970
Current State: 24:[78, 55, 2970], Operations: ['66*45=2970']
Exploring Operation: 2970/55=54, Resulting Numbers: [78, 54]
Generated Node #3: [78, 54] from Operation: 2970/55=54
Current State: 24:[78, 54], Operations: ['66*45=2970', '2970/55=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
17,
85,
81,
87
] | 30 | [
"85/17=5",
"87-81=6",
"5*6=30"
] | Current State: 30:[17, 85, 81, 87], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [81, 87, 5]
Generated Node #2: [81, 87, 5] from Operation: 85/17=5
Current State: 30:[81, 87, 5], Operations: ['85/17=5']
Exploring Operation: 87-81=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 87-81=6
Current State: 30:[5, 6], Operations: ['85/17=5', '87-81=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
96,
21,
71,
59
] | 13 | [
"96+21=117",
"71+59=130",
"130-117=13"
] | Current State: 13:[96, 21, 71, 59], Operations: []
Exploring Operation: 96+21=117, Resulting Numbers: [71, 59, 117]
Generated Node #2: [71, 59, 117] from Operation: 96+21=117
Current State: 13:[71, 59, 117], Operations: ['96+21=117']
Exploring Operation: 71+59=130, Resulting Numbers: [117, 130]
Generated Node #3: [117, 130] from Operation: 71+59=130
Current State: 13:[117, 130], Operations: ['96+21=117', '71+59=130']
Exploring Operation: 130-117=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
21,
51,
36,
44
] | 73 | [
"36*44=1584",
"1584-51=1533",
"1533/21=73"
] | Current State: 73:[21, 51, 36, 44], Operations: []
Exploring Operation: 36*44=1584, Resulting Numbers: [21, 51, 1584]
Generated Node #2: [21, 51, 1584] from Operation: 36*44=1584
Current State: 73:[21, 51, 1584], Operations: ['36*44=1584']
Exploring Operation: 1584-51=1533, Resulting Numbers: [21, 1533]
Generated Node #3: [21, 1533] from Operation: 1584-51=1533
Current State: 73:[21, 1533], Operations: ['36*44=1584', '1584-51=1533']
Exploring Operation: 1533/21=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
95,
75,
70
] | 60 | [
"95+75=170",
"170/17=10",
"70-10=60"
] | Current State: 60:[17, 95, 75, 70], Operations: []
Exploring Operation: 95+75=170, Resulting Numbers: [17, 70, 170]
Generated Node #2: [17, 70, 170] from Operation: 95+75=170
Current State: 60:[17, 70, 170], Operations: ['95+75=170']
Exploring Operation: 170/17=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 170/17=10
Current State: 60:[70, 10], Operations: ['95+75=170', '170/17=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
17,
90,
35
] | 51 | [
"68/17=4",
"90-35=55",
"55-4=51"
] | Current State: 51:[68, 17, 90, 35], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [90, 35, 4]
Generated Node #2: [90, 35, 4] from Operation: 68/17=4
Current State: 51:[90, 35, 4], Operations: ['68/17=4']
Exploring Operation: 90-35=55, Resulting Numbers: [4, 55]
Generated Node #3: [4, 55] from Operation: 90-35=55
Current State: 51:[4, 55], Operations: ['68/17=4', '90-35=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
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