nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
44,
35,
16,
80
] | 45 | [
"44-35=9",
"80/16=5",
"9*5=45"
] | Current State: 45:[44, 35, 16, 80], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [16, 80, 9]
Generated Node #2: [16, 80, 9] from Operation: 44-35=9
Current State: 45:[16, 80, 9], Operations: ['44-35=9']
Exploring Operation: 80/16=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 80/16=5
Current State: 45:[9, 5], Operations: ['44-35=9', '80/16=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
16,
81,
91
] | 14 | [
"10*91=910",
"81-16=65",
"910/65=14"
] | Current State: 14:[10, 16, 81, 91], Operations: []
Exploring Operation: 10*91=910, Resulting Numbers: [16, 81, 910]
Generated Node #2: [16, 81, 910] from Operation: 10*91=910
Current State: 14:[16, 81, 910], Operations: ['10*91=910']
Exploring Operation: 81-16=65, Resulting Numbers: [910, 65]
Generated Node #3: [910, 65] from Operation: 81-16=65
Current State: 14:[910, 65], Operations: ['10*91=910', '81-16=65']
Exploring Operation: 910/65=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
30,
96,
5,
5
] | 91 | [
"96-30=66",
"5*5=25",
"66+25=91"
] | Current State: 91:[30, 96, 5, 5], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [5, 5, 66]
Generated Node #2: [5, 5, 66] from Operation: 96-30=66
Current State: 91:[5, 5, 66], Operations: ['96-30=66']
Exploring Operation: 5*5=25, Resulting Numbers: [66, 25]
Generated Node #3: [66, 25] from Operation: 5*5=25
Current State: 91:[66, 25], Operations: ['96-30=66', '5*5=25']
Exploring Operation: 66+25=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
11,
2,
77,
44
] | 95 | [
"77/11=7",
"2*44=88",
"7+88=95"
] | Current State: 95:[11, 2, 77, 44], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [2, 44, 7]
Generated Node #2: [2, 44, 7] from Operation: 77/11=7
Current State: 95:[2, 44, 7], Operations: ['77/11=7']
Exploring Operation: 2*44=88, Resulting Numbers: [7, 88]
Generated Node #3: [7, 88] from Operation: 2*44=88
Current State: 95:[7, 88], Operations: ['77/11=7', '2*44=88']
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
98,
65,
57,
29
] | 61 | [
"98-65=33",
"57-29=28",
"33+28=61"
] | Current State: 61:[98, 65, 57, 29], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [57, 29, 33]
Generated Node #2: [57, 29, 33] from Operation: 98-65=33
Current State: 61:[57, 29, 33], Operations: ['98-65=33']
Exploring Operation: 57-29=28, Resulting Numbers: [33, 28]
Generated Node #3: [33, 28] from Operation: 57-29=28
Current State: 61:[33, 28], Operations: ['98-65=33', '57-29=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
58,
71,
80,
22
] | 27 | [
"58+71=129",
"80+22=102",
"129-102=27"
] | Current State: 27:[58, 71, 80, 22], Operations: []
Exploring Operation: 58+71=129, Resulting Numbers: [80, 22, 129]
Generated Node #2: [80, 22, 129] from Operation: 58+71=129
Current State: 27:[80, 22, 129], Operations: ['58+71=129']
Exploring Operation: 80+22=102, Resulting Numbers: [129, 102]
Generated Node #3: [129, 102] from Operation: 80+22=102
Current State: 27:[129, 102], Operations: ['58+71=129', '80+22=102']
Exploring Operation: 129-102=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
44,
15,
55,
33
] | 77 | [
"55*33=1815",
"1815/15=121",
"121-44=77"
] | Current State: 77:[44, 15, 55, 33], Operations: []
Exploring Operation: 55*33=1815, Resulting Numbers: [44, 15, 1815]
Generated Node #2: [44, 15, 1815] from Operation: 55*33=1815
Current State: 77:[44, 15, 1815], Operations: ['55*33=1815']
Exploring Operation: 1815/15=121, Resulting Numbers: [44, 121]
Generated Node #3: [44, 121] from Operation: 1815/15=121
Current State: 77:[44, 121], Operations: ['55*33=1815', '1815/15=121']
Exploring Operation: 121-44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
74,
55,
18,
93
] | 93 | [
"74-55=19",
"19-18=1",
"93*1=93"
] | Current State: 93:[74, 55, 18, 93], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [18, 93, 19]
Generated Node #2: [18, 93, 19] from Operation: 74-55=19
Current State: 93:[18, 93, 19], Operations: ['74-55=19']
Exploring Operation: 19-18=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 19-18=1
Current State: 93:[93, 1], Operations: ['74-55=19', '19-18=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
78,
29,
50,
37
] | 81 | [
"50+37=87",
"87/29=3",
"78+3=81"
] | Current State: 81:[78, 29, 50, 37], Operations: []
Exploring Operation: 50+37=87, Resulting Numbers: [78, 29, 87]
Generated Node #2: [78, 29, 87] from Operation: 50+37=87
Current State: 81:[78, 29, 87], Operations: ['50+37=87']
Exploring Operation: 87/29=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 87/29=3
Current State: 81:[78, 3], Operations: ['50+37=87', '87/29=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
24,
8,
90,
29
] | 77 | [
"24-8=16",
"90-29=61",
"16+61=77"
] | Current State: 77:[24, 8, 90, 29], Operations: []
Exploring Operation: 24-8=16, Resulting Numbers: [90, 29, 16]
Generated Node #2: [90, 29, 16] from Operation: 24-8=16
Current State: 77:[90, 29, 16], Operations: ['24-8=16']
Exploring Operation: 90-29=61, Resulting Numbers: [16, 61]
Generated Node #3: [16, 61] from Operation: 90-29=61
Current State: 77:[16, 61], Operations: ['24-8=16', '90-29=61']
Exploring Operation: 16+61=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
47,
99,
83,
96
] | 33 | [
"47+99=146",
"83+96=179",
"179-146=33"
] | Current State: 33:[47, 99, 83, 96], Operations: []
Exploring Operation: 47+99=146, Resulting Numbers: [83, 96, 146]
Generated Node #2: [83, 96, 146] from Operation: 47+99=146
Current State: 33:[83, 96, 146], Operations: ['47+99=146']
Exploring Operation: 83+96=179, Resulting Numbers: [146, 179]
Generated Node #3: [146, 179] from Operation: 83+96=179
Current State: 33:[146, 179], Operations: ['47+99=146', '83+96=179']
Exploring Operation: 179-146=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
66,
48,
98,
68
] | 100 | [
"68-66=2",
"98-48=50",
"2*50=100"
] | Current State: 100:[66, 48, 98, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [48, 98, 2]
Generated Node #2: [48, 98, 2] from Operation: 68-66=2
Current State: 100:[48, 98, 2], Operations: ['68-66=2']
Exploring Operation: 98-48=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 98-48=50
Current State: 100:[2, 50], Operations: ['68-66=2', '98-48=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
36,
22,
52
] | 45 | [
"36-22=14",
"14/2=7",
"52-7=45"
] | Current State: 45:[2, 36, 22, 52], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [2, 52, 14]
Generated Node #2: [2, 52, 14] from Operation: 36-22=14
Current State: 45:[2, 52, 14], Operations: ['36-22=14']
Exploring Operation: 14/2=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 14/2=7
Current State: 45:[52, 7], Operations: ['36-22=14', '14/2=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
30,
65,
83,
17
] | 78 | [
"30-17=13",
"65/13=5",
"83-5=78"
] | Current State: 78:[30, 65, 83, 17], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [65, 83, 13]
Generated Node #2: [65, 83, 13] from Operation: 30-17=13
Current State: 78:[65, 83, 13], Operations: ['30-17=13']
Exploring Operation: 65/13=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 65/13=5
Current State: 78:[83, 5], Operations: ['30-17=13', '65/13=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
78,
18,
21,
17
] | 92 | [
"78+18=96",
"21-17=4",
"96-4=92"
] | Current State: 92:[78, 18, 21, 17], Operations: []
Exploring Operation: 78+18=96, Resulting Numbers: [21, 17, 96]
Generated Node #2: [21, 17, 96] from Operation: 78+18=96
Current State: 92:[21, 17, 96], Operations: ['78+18=96']
Exploring Operation: 21-17=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 21-17=4
Current State: 92:[96, 4], Operations: ['78+18=96', '21-17=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
66,
90,
44,
18
] | 63 | [
"66*18=1188",
"1188/44=27",
"90-27=63"
] | Current State: 63:[66, 90, 44, 18], Operations: []
Exploring Operation: 66*18=1188, Resulting Numbers: [90, 44, 1188]
Generated Node #2: [90, 44, 1188] from Operation: 66*18=1188
Current State: 63:[90, 44, 1188], Operations: ['66*18=1188']
Exploring Operation: 1188/44=27, Resulting Numbers: [90, 27]
Generated Node #3: [90, 27] from Operation: 1188/44=27
Current State: 63:[90, 27], Operations: ['66*18=1188', '1188/44=27']
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
60,
50,
41,
47
] | 60 | [
"60-50=10",
"47-41=6",
"10*6=60"
] | Current State: 60:[60, 50, 41, 47], Operations: []
Exploring Operation: 60-50=10, Resulting Numbers: [41, 47, 10]
Generated Node #2: [41, 47, 10] from Operation: 60-50=10
Current State: 60:[41, 47, 10], Operations: ['60-50=10']
Exploring Operation: 47-41=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 47-41=6
Current State: 60:[10, 6], Operations: ['60-50=10', '47-41=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
6,
8,
86
] | 72 | [
"71+6=77",
"86-77=9",
"8*9=72"
] | Current State: 72:[71, 6, 8, 86], Operations: []
Exploring Operation: 71+6=77, Resulting Numbers: [8, 86, 77]
Generated Node #2: [8, 86, 77] from Operation: 71+6=77
Current State: 72:[8, 86, 77], Operations: ['71+6=77']
Exploring Operation: 86-77=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 86-77=9
Current State: 72:[8, 9], Operations: ['71+6=77', '86-77=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
63,
53,
97,
2
] | 27 | [
"63+97=160",
"160/2=80",
"80-53=27"
] | Current State: 27:[63, 53, 97, 2], Operations: []
Exploring Operation: 63+97=160, Resulting Numbers: [53, 2, 160]
Generated Node #2: [53, 2, 160] from Operation: 63+97=160
Current State: 27:[53, 2, 160], Operations: ['63+97=160']
Exploring Operation: 160/2=80, Resulting Numbers: [53, 80]
Generated Node #3: [53, 80] from Operation: 160/2=80
Current State: 27:[53, 80], Operations: ['63+97=160', '160/2=80']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
92,
74,
84
] | 80 | [
"92-84=8",
"48/8=6",
"74+6=80"
] | Current State: 80:[48, 92, 74, 84], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [48, 74, 8]
Generated Node #2: [48, 74, 8] from Operation: 92-84=8
Current State: 80:[48, 74, 8], Operations: ['92-84=8']
Exploring Operation: 48/8=6, Resulting Numbers: [74, 6]
Generated Node #3: [74, 6] from Operation: 48/8=6
Current State: 80:[74, 6], Operations: ['92-84=8', '48/8=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
20,
1,
72,
20
] | 71 | [
"20+1=21",
"72+20=92",
"92-21=71"
] | Current State: 71:[20, 1, 72, 20], Operations: []
Exploring Operation: 20+1=21, Resulting Numbers: [72, 21]
Generated Node #2: [72, 21] from Operation: 20+1=21
Current State: 71:[72, 21], Operations: ['20+1=21']
Exploring Operation: 72+20=92, Resulting Numbers: [21, 92]
Generated Node #3: [21, 92] from Operation: 72+20=92
Current State: 71:[21, 92], Operations: ['20+1=21', '72+20=92']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
69,
4,
87,
57
] | 95 | [
"69-4=65",
"87-57=30",
"65+30=95"
] | Current State: 95:[69, 4, 87, 57], Operations: []
Exploring Operation: 69-4=65, Resulting Numbers: [87, 57, 65]
Generated Node #2: [87, 57, 65] from Operation: 69-4=65
Current State: 95:[87, 57, 65], Operations: ['69-4=65']
Exploring Operation: 87-57=30, Resulting Numbers: [65, 30]
Generated Node #3: [65, 30] from Operation: 87-57=30
Current State: 95:[65, 30], Operations: ['69-4=65', '87-57=30']
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
2,
44,
96
] | 47 | [
"30+2=32",
"96/32=3",
"44+3=47"
] | Current State: 47:[30, 2, 44, 96], Operations: []
Exploring Operation: 30+2=32, Resulting Numbers: [44, 96, 32]
Generated Node #2: [44, 96, 32] from Operation: 30+2=32
Current State: 47:[44, 96, 32], Operations: ['30+2=32']
Exploring Operation: 96/32=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 96/32=3
Current State: 47:[44, 3], Operations: ['30+2=32', '96/32=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
36,
36,
53,
39
] | 55 | [
"39-36=3",
"36*3=108",
"108-53=55"
] | Current State: 55:[36, 36, 53, 39], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [53, 3]
Generated Node #2: [53, 3] from Operation: 39-36=3
Current State: 55:[53, 3], Operations: ['39-36=3']
Exploring Operation: 36*3=108, Resulting Numbers: [53, 108]
Generated Node #3: [53, 108] from Operation: 36*3=108
Current State: 55:[53, 108], Operations: ['39-36=3', '36*3=108']
Exploring Operation: 108-53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
58,
92,
42,
67
] | 41 | [
"58+92=150",
"42+67=109",
"150-109=41"
] | Current State: 41:[58, 92, 42, 67], Operations: []
Exploring Operation: 58+92=150, Resulting Numbers: [42, 67, 150]
Generated Node #2: [42, 67, 150] from Operation: 58+92=150
Current State: 41:[42, 67, 150], Operations: ['58+92=150']
Exploring Operation: 42+67=109, Resulting Numbers: [150, 109]
Generated Node #3: [150, 109] from Operation: 42+67=109
Current State: 41:[150, 109], Operations: ['58+92=150', '42+67=109']
Exploring Operation: 150-109=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
55,
76,
74,
3
] | 81 | [
"76-55=21",
"21/3=7",
"74+7=81"
] | Current State: 81:[55, 76, 74, 3], Operations: []
Exploring Operation: 76-55=21, Resulting Numbers: [74, 3, 21]
Generated Node #2: [74, 3, 21] from Operation: 76-55=21
Current State: 81:[74, 3, 21], Operations: ['76-55=21']
Exploring Operation: 21/3=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 21/3=7
Current State: 81:[74, 7], Operations: ['76-55=21', '21/3=7']
Exploring Operation: 74+7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
28,
56,
49,
23
] | 27 | [
"56-49=7",
"28/7=4",
"23+4=27"
] | Current State: 27:[28, 56, 49, 23], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [28, 23, 7]
Generated Node #2: [28, 23, 7] from Operation: 56-49=7
Current State: 27:[28, 23, 7], Operations: ['56-49=7']
Exploring Operation: 28/7=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 28/7=4
Current State: 27:[23, 4], Operations: ['56-49=7', '28/7=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
36,
50,
55
] | 33 | [
"50+55=105",
"105/35=3",
"36-3=33"
] | Current State: 33:[35, 36, 50, 55], Operations: []
Exploring Operation: 50+55=105, Resulting Numbers: [35, 36, 105]
Generated Node #2: [35, 36, 105] from Operation: 50+55=105
Current State: 33:[35, 36, 105], Operations: ['50+55=105']
Exploring Operation: 105/35=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 105/35=3
Current State: 33:[36, 3], Operations: ['50+55=105', '105/35=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
70,
32,
71,
37
] | 70 | [
"70-32=38",
"71+37=108",
"108-38=70"
] | Current State: 70:[70, 32, 71, 37], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [71, 37, 38]
Generated Node #2: [71, 37, 38] from Operation: 70-32=38
Current State: 70:[71, 37, 38], Operations: ['70-32=38']
Exploring Operation: 71+37=108, Resulting Numbers: [38, 108]
Generated Node #3: [38, 108] from Operation: 71+37=108
Current State: 70:[38, 108], Operations: ['70-32=38', '71+37=108']
Exploring Operation: 108-38=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
36,
73,
79,
68
] | 48 | [
"73-36=37",
"79-68=11",
"37+11=48"
] | Current State: 48:[36, 73, 79, 68], Operations: []
Exploring Operation: 73-36=37, Resulting Numbers: [79, 68, 37]
Generated Node #2: [79, 68, 37] from Operation: 73-36=37
Current State: 48:[79, 68, 37], Operations: ['73-36=37']
Exploring Operation: 79-68=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 79-68=11
Current State: 48:[37, 11], Operations: ['73-36=37', '79-68=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
21,
29,
6
] | 30 | [
"40*6=240",
"29-21=8",
"240/8=30"
] | Current State: 30:[40, 21, 29, 6], Operations: []
Exploring Operation: 40*6=240, Resulting Numbers: [21, 29, 240]
Generated Node #2: [21, 29, 240] from Operation: 40*6=240
Current State: 30:[21, 29, 240], Operations: ['40*6=240']
Exploring Operation: 29-21=8, Resulting Numbers: [240, 8]
Generated Node #3: [240, 8] from Operation: 29-21=8
Current State: 30:[240, 8], Operations: ['40*6=240', '29-21=8']
Exploring Operation: 240/8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
65,
77,
11,
49
] | 26 | [
"77-65=12",
"49-11=38",
"38-12=26"
] | Current State: 26:[65, 77, 11, 49], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [11, 49, 12]
Generated Node #2: [11, 49, 12] from Operation: 77-65=12
Current State: 26:[11, 49, 12], Operations: ['77-65=12']
Exploring Operation: 49-11=38, Resulting Numbers: [12, 38]
Generated Node #3: [12, 38] from Operation: 49-11=38
Current State: 26:[12, 38], Operations: ['77-65=12', '49-11=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
64,
11,
56
] | 18 | [
"64-15=49",
"11+56=67",
"67-49=18"
] | Current State: 18:[15, 64, 11, 56], Operations: []
Exploring Operation: 64-15=49, Resulting Numbers: [11, 56, 49]
Generated Node #2: [11, 56, 49] from Operation: 64-15=49
Current State: 18:[11, 56, 49], Operations: ['64-15=49']
Exploring Operation: 11+56=67, Resulting Numbers: [49, 67]
Generated Node #3: [49, 67] from Operation: 11+56=67
Current State: 18:[49, 67], Operations: ['64-15=49', '11+56=67']
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
14,
11,
50,
65
] | 63 | [
"14+11=25",
"50/25=2",
"65-2=63"
] | Current State: 63:[14, 11, 50, 65], Operations: []
Exploring Operation: 14+11=25, Resulting Numbers: [50, 65, 25]
Generated Node #2: [50, 65, 25] from Operation: 14+11=25
Current State: 63:[50, 65, 25], Operations: ['14+11=25']
Exploring Operation: 50/25=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 50/25=2
Current State: 63:[65, 2], Operations: ['14+11=25', '50/25=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
74,
24,
48
] | 97 | [
"74+24=98",
"98/2=49",
"48+49=97"
] | Current State: 97:[2, 74, 24, 48], Operations: []
Exploring Operation: 74+24=98, Resulting Numbers: [2, 48, 98]
Generated Node #2: [2, 48, 98] from Operation: 74+24=98
Current State: 97:[2, 48, 98], Operations: ['74+24=98']
Exploring Operation: 98/2=49, Resulting Numbers: [48, 49]
Generated Node #3: [48, 49] from Operation: 98/2=49
Current State: 97:[48, 49], Operations: ['74+24=98', '98/2=49']
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
76,
65,
80
] | 66 | [
"3+76=79",
"65+80=145",
"145-79=66"
] | Current State: 66:[3, 76, 65, 80], Operations: []
Exploring Operation: 3+76=79, Resulting Numbers: [65, 80, 79]
Generated Node #2: [65, 80, 79] from Operation: 3+76=79
Current State: 66:[65, 80, 79], Operations: ['3+76=79']
Exploring Operation: 65+80=145, Resulting Numbers: [79, 145]
Generated Node #3: [79, 145] from Operation: 65+80=145
Current State: 66:[79, 145], Operations: ['3+76=79', '65+80=145']
Exploring Operation: 145-79=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
54,
34,
12,
97
] | 65 | [
"54-34=20",
"97-12=85",
"85-20=65"
] | Current State: 65:[54, 34, 12, 97], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [12, 97, 20]
Generated Node #2: [12, 97, 20] from Operation: 54-34=20
Current State: 65:[12, 97, 20], Operations: ['54-34=20']
Exploring Operation: 97-12=85, Resulting Numbers: [20, 85]
Generated Node #3: [20, 85] from Operation: 97-12=85
Current State: 65:[20, 85], Operations: ['54-34=20', '97-12=85']
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
12,
30,
2,
25
] | 69 | [
"12+30=42",
"2+25=27",
"42+27=69"
] | Current State: 69:[12, 30, 2, 25], Operations: []
Exploring Operation: 12+30=42, Resulting Numbers: [2, 25, 42]
Generated Node #2: [2, 25, 42] from Operation: 12+30=42
Current State: 69:[2, 25, 42], Operations: ['12+30=42']
Exploring Operation: 2+25=27, Resulting Numbers: [42, 27]
Generated Node #3: [42, 27] from Operation: 2+25=27
Current State: 69:[42, 27], Operations: ['12+30=42', '2+25=27']
Exploring Operation: 42+27=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
30,
22,
6
] | 18 | [
"30-6=24",
"24/6=4",
"22-4=18"
] | Current State: 18:[6, 30, 22, 6], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [22, 24]
Generated Node #2: [22, 24] from Operation: 30-6=24
Current State: 18:[22, 24], Operations: ['30-6=24']
Exploring Operation: 24/6=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 24/6=4
Current State: 18:[22, 4], Operations: ['30-6=24', '24/6=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
81,
4,
31,
98
] | 70 | [
"81+31=112",
"112/4=28",
"98-28=70"
] | Current State: 70:[81, 4, 31, 98], Operations: []
Exploring Operation: 81+31=112, Resulting Numbers: [4, 98, 112]
Generated Node #2: [4, 98, 112] from Operation: 81+31=112
Current State: 70:[4, 98, 112], Operations: ['81+31=112']
Exploring Operation: 112/4=28, Resulting Numbers: [98, 28]
Generated Node #3: [98, 28] from Operation: 112/4=28
Current State: 70:[98, 28], Operations: ['81+31=112', '112/4=28']
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
14,
76,
20,
31
] | 51 | [
"76-14=62",
"31-20=11",
"62-11=51"
] | Current State: 51:[14, 76, 20, 31], Operations: []
Exploring Operation: 76-14=62, Resulting Numbers: [20, 31, 62]
Generated Node #2: [20, 31, 62] from Operation: 76-14=62
Current State: 51:[20, 31, 62], Operations: ['76-14=62']
Exploring Operation: 31-20=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 31-20=11
Current State: 51:[62, 11], Operations: ['76-14=62', '31-20=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
96,
93,
12,
9
] | 35 | [
"96*12=1152",
"1152/9=128",
"128-93=35"
] | Current State: 35:[96, 93, 12, 9], Operations: []
Exploring Operation: 96*12=1152, Resulting Numbers: [93, 9, 1152]
Generated Node #2: [93, 9, 1152] from Operation: 96*12=1152
Current State: 35:[93, 9, 1152], Operations: ['96*12=1152']
Exploring Operation: 1152/9=128, Resulting Numbers: [93, 128]
Generated Node #3: [93, 128] from Operation: 1152/9=128
Current State: 35:[93, 128], Operations: ['96*12=1152', '1152/9=128']
Exploring Operation: 128-93=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
94,
53,
76,
11
] | 60 | [
"94+53=147",
"76+11=87",
"147-87=60"
] | Current State: 60:[94, 53, 76, 11], Operations: []
Exploring Operation: 94+53=147, Resulting Numbers: [76, 11, 147]
Generated Node #2: [76, 11, 147] from Operation: 94+53=147
Current State: 60:[76, 11, 147], Operations: ['94+53=147']
Exploring Operation: 76+11=87, Resulting Numbers: [147, 87]
Generated Node #3: [147, 87] from Operation: 76+11=87
Current State: 60:[147, 87], Operations: ['94+53=147', '76+11=87']
Exploring Operation: 147-87=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
91,
54,
45,
76
] | 51 | [
"91-76=15",
"45/15=3",
"54-3=51"
] | Current State: 51:[91, 54, 45, 76], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [54, 45, 15]
Generated Node #2: [54, 45, 15] from Operation: 91-76=15
Current State: 51:[54, 45, 15], Operations: ['91-76=15']
Exploring Operation: 45/15=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 45/15=3
Current State: 51:[54, 3], Operations: ['91-76=15', '45/15=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
76,
88,
39
] | 81 | [
"88-76=12",
"10*12=120",
"120-39=81"
] | Current State: 81:[10, 76, 88, 39], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [10, 39, 12]
Generated Node #2: [10, 39, 12] from Operation: 88-76=12
Current State: 81:[10, 39, 12], Operations: ['88-76=12']
Exploring Operation: 10*12=120, Resulting Numbers: [39, 120]
Generated Node #3: [39, 120] from Operation: 10*12=120
Current State: 81:[39, 120], Operations: ['88-76=12', '10*12=120']
Exploring Operation: 120-39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
74,
49,
36,
34
] | 46 | [
"74+34=108",
"108/36=3",
"49-3=46"
] | Current State: 46:[74, 49, 36, 34], Operations: []
Exploring Operation: 74+34=108, Resulting Numbers: [49, 36, 108]
Generated Node #2: [49, 36, 108] from Operation: 74+34=108
Current State: 46:[49, 36, 108], Operations: ['74+34=108']
Exploring Operation: 108/36=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 108/36=3
Current State: 46:[49, 3], Operations: ['74+34=108', '108/36=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
94,
64,
59,
58
] | 52 | [
"59*58=3422",
"3422-94=3328",
"3328/64=52"
] | Current State: 52:[94, 64, 59, 58], Operations: []
Exploring Operation: 59*58=3422, Resulting Numbers: [94, 64, 3422]
Generated Node #2: [94, 64, 3422] from Operation: 59*58=3422
Current State: 52:[94, 64, 3422], Operations: ['59*58=3422']
Exploring Operation: 3422-94=3328, Resulting Numbers: [64, 3328]
Generated Node #3: [64, 3328] from Operation: 3422-94=3328
Current State: 52:[64, 3328], Operations: ['59*58=3422', '3422-94=3328']
Exploring Operation: 3328/64=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
57,
74,
81
] | 66 | [
"81-57=24",
"24/3=8",
"74-8=66"
] | Current State: 66:[3, 57, 74, 81], Operations: []
Exploring Operation: 81-57=24, Resulting Numbers: [3, 74, 24]
Generated Node #2: [3, 74, 24] from Operation: 81-57=24
Current State: 66:[3, 74, 24], Operations: ['81-57=24']
Exploring Operation: 24/3=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 24/3=8
Current State: 66:[74, 8], Operations: ['81-57=24', '24/3=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
16,
41,
6
] | 93 | [
"14*41=574",
"574-16=558",
"558/6=93"
] | Current State: 93:[14, 16, 41, 6], Operations: []
Exploring Operation: 14*41=574, Resulting Numbers: [16, 6, 574]
Generated Node #2: [16, 6, 574] from Operation: 14*41=574
Current State: 93:[16, 6, 574], Operations: ['14*41=574']
Exploring Operation: 574-16=558, Resulting Numbers: [6, 558]
Generated Node #3: [6, 558] from Operation: 574-16=558
Current State: 93:[6, 558], Operations: ['14*41=574', '574-16=558']
Exploring Operation: 558/6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
47,
61,
67,
55
] | 94 | [
"67+55=122",
"47*122=5734",
"5734/61=94"
] | Current State: 94:[47, 61, 67, 55], Operations: []
Exploring Operation: 67+55=122, Resulting Numbers: [47, 61, 122]
Generated Node #2: [47, 61, 122] from Operation: 67+55=122
Current State: 94:[47, 61, 122], Operations: ['67+55=122']
Exploring Operation: 47*122=5734, Resulting Numbers: [61, 5734]
Generated Node #3: [61, 5734] from Operation: 47*122=5734
Current State: 94:[61, 5734], Operations: ['67+55=122', '47*122=5734']
Exploring Operation: 5734/61=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
88,
24,
86,
12
] | 45 | [
"24/12=2",
"86/2=43",
"88-43=45"
] | Current State: 45:[88, 24, 86, 12], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [88, 86, 2]
Generated Node #2: [88, 86, 2] from Operation: 24/12=2
Current State: 45:[88, 86, 2], Operations: ['24/12=2']
Exploring Operation: 86/2=43, Resulting Numbers: [88, 43]
Generated Node #3: [88, 43] from Operation: 86/2=43
Current State: 45:[88, 43], Operations: ['24/12=2', '86/2=43']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
4,
54,
36
] | 19 | [
"5-4=1",
"54-36=18",
"1+18=19"
] | Current State: 19:[5, 4, 54, 36], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [54, 36, 1]
Generated Node #2: [54, 36, 1] from Operation: 5-4=1
Current State: 19:[54, 36, 1], Operations: ['5-4=1']
Exploring Operation: 54-36=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 54-36=18
Current State: 19:[1, 18], Operations: ['5-4=1', '54-36=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
99,
85,
79
] | 82 | [
"84-79=5",
"85/5=17",
"99-17=82"
] | Current State: 82:[84, 99, 85, 79], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [99, 85, 5]
Generated Node #2: [99, 85, 5] from Operation: 84-79=5
Current State: 82:[99, 85, 5], Operations: ['84-79=5']
Exploring Operation: 85/5=17, Resulting Numbers: [99, 17]
Generated Node #3: [99, 17] from Operation: 85/5=17
Current State: 82:[99, 17], Operations: ['84-79=5', '85/5=17']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
90,
60,
10,
34
] | 85 | [
"90/10=9",
"60+34=94",
"94-9=85"
] | Current State: 85:[90, 60, 10, 34], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [60, 34, 9]
Generated Node #2: [60, 34, 9] from Operation: 90/10=9
Current State: 85:[60, 34, 9], Operations: ['90/10=9']
Exploring Operation: 60+34=94, Resulting Numbers: [9, 94]
Generated Node #3: [9, 94] from Operation: 60+34=94
Current State: 85:[9, 94], Operations: ['90/10=9', '60+34=94']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
15,
67,
96,
83
] | 90 | [
"15*96=1440",
"83-67=16",
"1440/16=90"
] | Current State: 90:[15, 67, 96, 83], Operations: []
Exploring Operation: 15*96=1440, Resulting Numbers: [67, 83, 1440]
Generated Node #2: [67, 83, 1440] from Operation: 15*96=1440
Current State: 90:[67, 83, 1440], Operations: ['15*96=1440']
Exploring Operation: 83-67=16, Resulting Numbers: [1440, 16]
Generated Node #3: [1440, 16] from Operation: 83-67=16
Current State: 90:[1440, 16], Operations: ['15*96=1440', '83-67=16']
Exploring Operation: 1440/16=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
20,
88,
86,
2
] | 67 | [
"88+86=174",
"174/2=87",
"87-20=67"
] | Current State: 67:[20, 88, 86, 2], Operations: []
Exploring Operation: 88+86=174, Resulting Numbers: [20, 2, 174]
Generated Node #2: [20, 2, 174] from Operation: 88+86=174
Current State: 67:[20, 2, 174], Operations: ['88+86=174']
Exploring Operation: 174/2=87, Resulting Numbers: [20, 87]
Generated Node #3: [20, 87] from Operation: 174/2=87
Current State: 67:[20, 87], Operations: ['88+86=174', '174/2=87']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
64,
84,
69,
83
] | 34 | [
"84-64=20",
"83-69=14",
"20+14=34"
] | Current State: 34:[64, 84, 69, 83], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [69, 83, 20]
Generated Node #2: [69, 83, 20] from Operation: 84-64=20
Current State: 34:[69, 83, 20], Operations: ['84-64=20']
Exploring Operation: 83-69=14, Resulting Numbers: [20, 14]
Generated Node #3: [20, 14] from Operation: 83-69=14
Current State: 34:[20, 14], Operations: ['84-64=20', '83-69=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
57,
60,
54,
66
] | 54 | [
"66-57=9",
"60-54=6",
"9*6=54"
] | Current State: 54:[57, 60, 54, 66], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [60, 54, 9]
Generated Node #2: [60, 54, 9] from Operation: 66-57=9
Current State: 54:[60, 54, 9], Operations: ['66-57=9']
Exploring Operation: 60-54=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 60-54=6
Current State: 54:[9, 6], Operations: ['66-57=9', '60-54=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
82,
85,
80,
85
] | 85 | [
"82-80=2",
"85+85=170",
"170/2=85"
] | Current State: 85:[82, 85, 80, 85], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [85, 85, 2]
Generated Node #2: [85, 85, 2] from Operation: 82-80=2
Current State: 85:[85, 85, 2], Operations: ['82-80=2']
Exploring Operation: 85+85=170, Resulting Numbers: [2, 170]
Generated Node #3: [2, 170] from Operation: 85+85=170
Current State: 85:[2, 170], Operations: ['82-80=2', '85+85=170']
Exploring Operation: 170/2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
16,
2,
46,
18
] | 45 | [
"16+2=18",
"18/18=1",
"46-1=45"
] | Current State: 45:[16, 2, 46, 18], Operations: []
Exploring Operation: 16+2=18, Resulting Numbers: [46, 18, 18]
Generated Node #2: [46, 18, 18] from Operation: 16+2=18
Current State: 45:[46, 18, 18], Operations: ['16+2=18']
Exploring Operation: 18/18=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 18/18=1
Current State: 45:[46, 1], Operations: ['16+2=18', '18/18=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
71,
96,
7,
32
] | 64 | [
"96-71=25",
"7+32=39",
"25+39=64"
] | Current State: 64:[71, 96, 7, 32], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [7, 32, 25]
Generated Node #2: [7, 32, 25] from Operation: 96-71=25
Current State: 64:[7, 32, 25], Operations: ['96-71=25']
Exploring Operation: 7+32=39, Resulting Numbers: [25, 39]
Generated Node #3: [25, 39] from Operation: 7+32=39
Current State: 64:[25, 39], Operations: ['96-71=25', '7+32=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
8,
9,
77,
95
] | 100 | [
"8*9=72",
"77+95=172",
"172-72=100"
] | Current State: 100:[8, 9, 77, 95], Operations: []
Exploring Operation: 8*9=72, Resulting Numbers: [77, 95, 72]
Generated Node #2: [77, 95, 72] from Operation: 8*9=72
Current State: 100:[77, 95, 72], Operations: ['8*9=72']
Exploring Operation: 77+95=172, Resulting Numbers: [72, 172]
Generated Node #3: [72, 172] from Operation: 77+95=172
Current State: 100:[72, 172], Operations: ['8*9=72', '77+95=172']
Exploring Operation: 172-72=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
92,
47,
3,
45
] | 90 | [
"92-47=45",
"3*45=135",
"135-45=90"
] | Current State: 90:[92, 47, 3, 45], Operations: []
Exploring Operation: 92-47=45, Resulting Numbers: [3, 45, 45]
Generated Node #2: [3, 45, 45] from Operation: 92-47=45
Current State: 90:[3, 45, 45], Operations: ['92-47=45']
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,90 equal: Goal Reached
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
28,
23,
91,
27
] | 13 | [
"28+23=51",
"91-27=64",
"64-51=13"
] | Current State: 13:[28, 23, 91, 27], Operations: []
Exploring Operation: 28+23=51, Resulting Numbers: [91, 27, 51]
Generated Node #2: [91, 27, 51] from Operation: 28+23=51
Current State: 13:[91, 27, 51], Operations: ['28+23=51']
Exploring Operation: 91-27=64, Resulting Numbers: [51, 64]
Generated Node #3: [51, 64] from Operation: 91-27=64
Current State: 13:[51, 64], Operations: ['28+23=51', '91-27=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
32,
22,
82,
9
] | 82 | [
"32-22=10",
"10-9=1",
"82*1=82"
] | Current State: 82:[32, 22, 82, 9], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [82, 9, 10]
Generated Node #2: [82, 9, 10] from Operation: 32-22=10
Current State: 82:[82, 9, 10], Operations: ['32-22=10']
Exploring Operation: 10-9=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 10-9=1
Current State: 82:[82, 1], Operations: ['32-22=10', '10-9=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
1,
6,
57,
24
] | 38 | [
"6-1=5",
"57-24=33",
"5+33=38"
] | Current State: 38:[1, 6, 57, 24], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [57, 24, 5]
Generated Node #2: [57, 24, 5] from Operation: 6-1=5
Current State: 38:[57, 24, 5], Operations: ['6-1=5']
Exploring Operation: 57-24=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 57-24=33
Current State: 38:[5, 33], Operations: ['6-1=5', '57-24=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
77,
79,
68
] | 97 | [
"79-77=2",
"68/2=34",
"63+34=97"
] | Current State: 97:[63, 77, 79, 68], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [63, 68, 2]
Generated Node #2: [63, 68, 2] from Operation: 79-77=2
Current State: 97:[63, 68, 2], Operations: ['79-77=2']
Exploring Operation: 68/2=34, Resulting Numbers: [63, 34]
Generated Node #3: [63, 34] from Operation: 68/2=34
Current State: 97:[63, 34], Operations: ['79-77=2', '68/2=34']
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
30,
79,
43,
82
] | 47 | [
"82-79=3",
"30*3=90",
"90-43=47"
] | Current State: 47:[30, 79, 43, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [30, 43, 3]
Generated Node #2: [30, 43, 3] from Operation: 82-79=3
Current State: 47:[30, 43, 3], Operations: ['82-79=3']
Exploring Operation: 30*3=90, Resulting Numbers: [43, 90]
Generated Node #3: [43, 90] from Operation: 30*3=90
Current State: 47:[43, 90], Operations: ['82-79=3', '30*3=90']
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
6,
96,
33
] | 52 | [
"18+96=114",
"114/6=19",
"33+19=52"
] | Current State: 52:[18, 6, 96, 33], Operations: []
Exploring Operation: 18+96=114, Resulting Numbers: [6, 33, 114]
Generated Node #2: [6, 33, 114] from Operation: 18+96=114
Current State: 52:[6, 33, 114], Operations: ['18+96=114']
Exploring Operation: 114/6=19, Resulting Numbers: [33, 19]
Generated Node #3: [33, 19] from Operation: 114/6=19
Current State: 52:[33, 19], Operations: ['18+96=114', '114/6=19']
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
79,
29,
92,
31
] | 73 | [
"79-29=50",
"92+31=123",
"123-50=73"
] | Current State: 73:[79, 29, 92, 31], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [92, 31, 50]
Generated Node #2: [92, 31, 50] from Operation: 79-29=50
Current State: 73:[92, 31, 50], Operations: ['79-29=50']
Exploring Operation: 92+31=123, Resulting Numbers: [50, 123]
Generated Node #3: [50, 123] from Operation: 92+31=123
Current State: 73:[50, 123], Operations: ['79-29=50', '92+31=123']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
20,
8,
77,
13
] | 81 | [
"13-8=5",
"20/5=4",
"77+4=81"
] | Current State: 81:[20, 8, 77, 13], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [20, 77, 5]
Generated Node #2: [20, 77, 5] from Operation: 13-8=5
Current State: 81:[20, 77, 5], Operations: ['13-8=5']
Exploring Operation: 20/5=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 20/5=4
Current State: 81:[77, 4], Operations: ['13-8=5', '20/5=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
39,
28,
85,
12
] | 85 | [
"39-28=11",
"12-11=1",
"85*1=85"
] | Current State: 85:[39, 28, 85, 12], Operations: []
Exploring Operation: 39-28=11, Resulting Numbers: [85, 12, 11]
Generated Node #2: [85, 12, 11] from Operation: 39-28=11
Current State: 85:[85, 12, 11], Operations: ['39-28=11']
Exploring Operation: 12-11=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 12-11=1
Current State: 85:[85, 1], Operations: ['39-28=11', '12-11=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
81,
72,
13,
98
] | 76 | [
"81-72=9",
"98-13=85",
"85-9=76"
] | Current State: 76:[81, 72, 13, 98], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [13, 98, 9]
Generated Node #2: [13, 98, 9] from Operation: 81-72=9
Current State: 76:[13, 98, 9], Operations: ['81-72=9']
Exploring Operation: 98-13=85, Resulting Numbers: [9, 85]
Generated Node #3: [9, 85] from Operation: 98-13=85
Current State: 76:[9, 85], Operations: ['81-72=9', '98-13=85']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
20,
31,
25,
19
] | 60 | [
"25-20=5",
"31-19=12",
"5*12=60"
] | Current State: 60:[20, 31, 25, 19], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [31, 19, 5]
Generated Node #2: [31, 19, 5] from Operation: 25-20=5
Current State: 60:[31, 19, 5], Operations: ['25-20=5']
Exploring Operation: 31-19=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 31-19=12
Current State: 60:[5, 12], Operations: ['25-20=5', '31-19=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
17,
97,
80
] | 12 | [
"22-17=5",
"97-80=17",
"17-5=12"
] | Current State: 12:[22, 17, 97, 80], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [97, 80, 5]
Generated Node #2: [97, 80, 5] from Operation: 22-17=5
Current State: 12:[97, 80, 5], Operations: ['22-17=5']
Exploring Operation: 97-80=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 97-80=17
Current State: 12:[5, 17], Operations: ['22-17=5', '97-80=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
3,
22,
21,
66
] | 54 | [
"21-3=18",
"66/22=3",
"18*3=54"
] | Current State: 54:[3, 22, 21, 66], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [22, 66, 18]
Generated Node #2: [22, 66, 18] from Operation: 21-3=18
Current State: 54:[22, 66, 18], Operations: ['21-3=18']
Exploring Operation: 66/22=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 66/22=3
Current State: 54:[18, 3], Operations: ['21-3=18', '66/22=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
51,
11,
51,
84
] | 17 | [
"51*11=561",
"84-51=33",
"561/33=17"
] | Current State: 17:[51, 11, 51, 84], Operations: []
Exploring Operation: 51*11=561, Resulting Numbers: [84, 561]
Generated Node #2: [84, 561] from Operation: 51*11=561
Current State: 17:[84, 561], Operations: ['51*11=561']
Exploring Operation: 84-51=33, Resulting Numbers: [561, 33]
Generated Node #3: [561, 33] from Operation: 84-51=33
Current State: 17:[561, 33], Operations: ['51*11=561', '84-51=33']
Exploring Operation: 561/33=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
55,
54,
26,
66
] | 41 | [
"55-54=1",
"66-26=40",
"1+40=41"
] | Current State: 41:[55, 54, 26, 66], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [26, 66, 1]
Generated Node #2: [26, 66, 1] from Operation: 55-54=1
Current State: 41:[26, 66, 1], Operations: ['55-54=1']
Exploring Operation: 66-26=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 66-26=40
Current State: 41:[1, 40], Operations: ['55-54=1', '66-26=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
69,
2,
94,
78
] | 38 | [
"78-69=9",
"94/2=47",
"47-9=38"
] | Current State: 38:[69, 2, 94, 78], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [2, 94, 9]
Generated Node #2: [2, 94, 9] from Operation: 78-69=9
Current State: 38:[2, 94, 9], Operations: ['78-69=9']
Exploring Operation: 94/2=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 94/2=47
Current State: 38:[9, 47], Operations: ['78-69=9', '94/2=47']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
93,
24,
30,
96
] | 59 | [
"93-30=63",
"96/24=4",
"63-4=59"
] | Current State: 59:[93, 24, 30, 96], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [24, 96, 63]
Generated Node #2: [24, 96, 63] from Operation: 93-30=63
Current State: 59:[24, 96, 63], Operations: ['93-30=63']
Exploring Operation: 96/24=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 96/24=4
Current State: 59:[63, 4], Operations: ['93-30=63', '96/24=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
5,
11,
80
] | 34 | [
"9+80=89",
"5*11=55",
"89-55=34"
] | Current State: 34:[9, 5, 11, 80], Operations: []
Exploring Operation: 9+80=89, Resulting Numbers: [5, 11, 89]
Generated Node #2: [5, 11, 89] from Operation: 9+80=89
Current State: 34:[5, 11, 89], Operations: ['9+80=89']
Exploring Operation: 5*11=55, Resulting Numbers: [89, 55]
Generated Node #3: [89, 55] from Operation: 5*11=55
Current State: 34:[89, 55], Operations: ['9+80=89', '5*11=55']
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
77,
55,
88
] | 43 | [
"77-1=76",
"88-55=33",
"76-33=43"
] | Current State: 43:[1, 77, 55, 88], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [55, 88, 76]
Generated Node #2: [55, 88, 76] from Operation: 77-1=76
Current State: 43:[55, 88, 76], Operations: ['77-1=76']
Exploring Operation: 88-55=33, Resulting Numbers: [76, 33]
Generated Node #3: [76, 33] from Operation: 88-55=33
Current State: 43:[76, 33], Operations: ['77-1=76', '88-55=33']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
6,
46,
23
] | 88 | [
"96-6=90",
"46/23=2",
"90-2=88"
] | Current State: 88:[96, 6, 46, 23], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [46, 23, 90]
Generated Node #2: [46, 23, 90] from Operation: 96-6=90
Current State: 88:[46, 23, 90], Operations: ['96-6=90']
Exploring Operation: 46/23=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 46/23=2
Current State: 88:[90, 2], Operations: ['96-6=90', '46/23=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
8,
15,
3,
21
] | 74 | [
"8+21=29",
"15*3=45",
"29+45=74"
] | Current State: 74:[8, 15, 3, 21], Operations: []
Exploring Operation: 8+21=29, Resulting Numbers: [15, 3, 29]
Generated Node #2: [15, 3, 29] from Operation: 8+21=29
Current State: 74:[15, 3, 29], Operations: ['8+21=29']
Exploring Operation: 15*3=45, Resulting Numbers: [29, 45]
Generated Node #3: [29, 45] from Operation: 15*3=45
Current State: 74:[29, 45], Operations: ['8+21=29', '15*3=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
1,
45,
92,
74
] | 26 | [
"45-1=44",
"92-74=18",
"44-18=26"
] | Current State: 26:[1, 45, 92, 74], Operations: []
Exploring Operation: 45-1=44, Resulting Numbers: [92, 74, 44]
Generated Node #2: [92, 74, 44] from Operation: 45-1=44
Current State: 26:[92, 74, 44], Operations: ['45-1=44']
Exploring Operation: 92-74=18, Resulting Numbers: [44, 18]
Generated Node #3: [44, 18] from Operation: 92-74=18
Current State: 26:[44, 18], Operations: ['45-1=44', '92-74=18']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
79,
48,
96,
9
] | 72 | [
"79-9=70",
"96/48=2",
"70+2=72"
] | Current State: 72:[79, 48, 96, 9], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [48, 96, 70]
Generated Node #2: [48, 96, 70] from Operation: 79-9=70
Current State: 72:[48, 96, 70], Operations: ['79-9=70']
Exploring Operation: 96/48=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 96/48=2
Current State: 72:[70, 2], Operations: ['79-9=70', '96/48=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
47,
9,
12,
29
] | 24 | [
"47-29=18",
"18/9=2",
"12*2=24"
] | Current State: 24:[47, 9, 12, 29], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [9, 12, 18]
Generated Node #2: [9, 12, 18] from Operation: 47-29=18
Current State: 24:[9, 12, 18], Operations: ['47-29=18']
Exploring Operation: 18/9=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 18/9=2
Current State: 24:[12, 2], Operations: ['47-29=18', '18/9=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
51,
15,
56,
69
] | 79 | [
"51+15=66",
"69-56=13",
"66+13=79"
] | Current State: 79:[51, 15, 56, 69], Operations: []
Exploring Operation: 51+15=66, Resulting Numbers: [56, 69, 66]
Generated Node #2: [56, 69, 66] from Operation: 51+15=66
Current State: 79:[56, 69, 66], Operations: ['51+15=66']
Exploring Operation: 69-56=13, Resulting Numbers: [66, 13]
Generated Node #3: [66, 13] from Operation: 69-56=13
Current State: 79:[66, 13], Operations: ['51+15=66', '69-56=13']
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
27,
8,
31,
34
] | 87 | [
"34-27=7",
"8*7=56",
"31+56=87"
] | Current State: 87:[27, 8, 31, 34], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [8, 31, 7]
Generated Node #2: [8, 31, 7] from Operation: 34-27=7
Current State: 87:[8, 31, 7], Operations: ['34-27=7']
Exploring Operation: 8*7=56, Resulting Numbers: [31, 56]
Generated Node #3: [31, 56] from Operation: 8*7=56
Current State: 87:[31, 56], Operations: ['34-27=7', '8*7=56']
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
75,
2,
90,
54
] | 71 | [
"75-2=73",
"90+54=144",
"144-73=71"
] | Current State: 71:[75, 2, 90, 54], Operations: []
Exploring Operation: 75-2=73, Resulting Numbers: [90, 54, 73]
Generated Node #2: [90, 54, 73] from Operation: 75-2=73
Current State: 71:[90, 54, 73], Operations: ['75-2=73']
Exploring Operation: 90+54=144, Resulting Numbers: [73, 144]
Generated Node #3: [73, 144] from Operation: 90+54=144
Current State: 71:[73, 144], Operations: ['75-2=73', '90+54=144']
Exploring Operation: 144-73=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
29,
99,
32,
6
] | 24 | [
"29+99=128",
"128/32=4",
"6*4=24"
] | Current State: 24:[29, 99, 32, 6], Operations: []
Exploring Operation: 29+99=128, Resulting Numbers: [32, 6, 128]
Generated Node #2: [32, 6, 128] from Operation: 29+99=128
Current State: 24:[32, 6, 128], Operations: ['29+99=128']
Exploring Operation: 128/32=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 128/32=4
Current State: 24:[6, 4], Operations: ['29+99=128', '128/32=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
23,
15,
65,
16
] | 11 | [
"23+15=38",
"65-16=49",
"49-38=11"
] | Current State: 11:[23, 15, 65, 16], Operations: []
Exploring Operation: 23+15=38, Resulting Numbers: [65, 16, 38]
Generated Node #2: [65, 16, 38] from Operation: 23+15=38
Current State: 11:[65, 16, 38], Operations: ['23+15=38']
Exploring Operation: 65-16=49, Resulting Numbers: [38, 49]
Generated Node #3: [38, 49] from Operation: 65-16=49
Current State: 11:[38, 49], Operations: ['23+15=38', '65-16=49']
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
56,
74,
38,
28
] | 34 | [
"56/28=2",
"74-38=36",
"36-2=34"
] | Current State: 34:[56, 74, 38, 28], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [74, 38, 2]
Generated Node #2: [74, 38, 2] from Operation: 56/28=2
Current State: 34:[74, 38, 2], Operations: ['56/28=2']
Exploring Operation: 74-38=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 74-38=36
Current State: 34:[2, 36], Operations: ['56/28=2', '74-38=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
47,
28,
45,
20
] | 34 | [
"47-45=2",
"28/2=14",
"20+14=34"
] | Current State: 34:[47, 28, 45, 20], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [28, 20, 2]
Generated Node #2: [28, 20, 2] from Operation: 47-45=2
Current State: 34:[28, 20, 2], Operations: ['47-45=2']
Exploring Operation: 28/2=14, Resulting Numbers: [20, 14]
Generated Node #3: [20, 14] from Operation: 28/2=14
Current State: 34:[20, 14], Operations: ['47-45=2', '28/2=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
1,
22,
2
] | 92 | [
"6-2=4",
"1+22=23",
"4*23=92"
] | Current State: 92:[6, 1, 22, 2], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [1, 22, 4]
Generated Node #2: [1, 22, 4] from Operation: 6-2=4
Current State: 92:[1, 22, 4], Operations: ['6-2=4']
Exploring Operation: 1+22=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 1+22=23
Current State: 92:[4, 23], Operations: ['6-2=4', '1+22=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
36,
5,
6
] | 89 | [
"54+36=90",
"6-5=1",
"90-1=89"
] | Current State: 89:[54, 36, 5, 6], Operations: []
Exploring Operation: 54+36=90, Resulting Numbers: [5, 6, 90]
Generated Node #2: [5, 6, 90] from Operation: 54+36=90
Current State: 89:[5, 6, 90], Operations: ['54+36=90']
Exploring Operation: 6-5=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 6-5=1
Current State: 89:[90, 1], Operations: ['54+36=90', '6-5=1']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
45,
78,
80,
50
] | 10 | [
"50-45=5",
"80-78=2",
"5*2=10"
] | Current State: 10:[45, 78, 80, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [78, 80, 5]
Generated Node #2: [78, 80, 5] from Operation: 50-45=5
Current State: 10:[78, 80, 5], Operations: ['50-45=5']
Exploring Operation: 80-78=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 80-78=2
Current State: 10:[5, 2], Operations: ['50-45=5', '80-78=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
79,
58,
25
] | 16 | [
"79-12=67",
"58+25=83",
"83-67=16"
] | Current State: 16:[12, 79, 58, 25], Operations: []
Exploring Operation: 79-12=67, Resulting Numbers: [58, 25, 67]
Generated Node #2: [58, 25, 67] from Operation: 79-12=67
Current State: 16:[58, 25, 67], Operations: ['79-12=67']
Exploring Operation: 58+25=83, Resulting Numbers: [67, 83]
Generated Node #3: [67, 83] from Operation: 58+25=83
Current State: 16:[67, 83], Operations: ['79-12=67', '58+25=83']
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
79,
61,
60
] | 12 | [
"79-66=13",
"61-60=1",
"13-1=12"
] | Current State: 12:[66, 79, 61, 60], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [61, 60, 13]
Generated Node #2: [61, 60, 13] from Operation: 79-66=13
Current State: 12:[61, 60, 13], Operations: ['79-66=13']
Exploring Operation: 61-60=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 61-60=1
Current State: 12:[13, 1], Operations: ['79-66=13', '61-60=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
99,
41,
86,
36
] | 64 | [
"99-41=58",
"86+36=122",
"122-58=64"
] | Current State: 64:[99, 41, 86, 36], Operations: []
Exploring Operation: 99-41=58, Resulting Numbers: [86, 36, 58]
Generated Node #2: [86, 36, 58] from Operation: 99-41=58
Current State: 64:[86, 36, 58], Operations: ['99-41=58']
Exploring Operation: 86+36=122, Resulting Numbers: [58, 122]
Generated Node #3: [58, 122] from Operation: 86+36=122
Current State: 64:[58, 122], Operations: ['99-41=58', '86+36=122']
Exploring Operation: 122-58=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
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