nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
89,
75,
82
] | 44 | [
"89-82=7",
"17*7=119",
"119-75=44"
] | Current State: 44:[17, 89, 75, 82], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [17, 75, 7]
Generated Node #2: [17, 75, 7] from Operation: 89-82=7
Current State: 44:[17, 75, 7], Operations: ['89-82=7']
Exploring Operation: 17*7=119, Resulting Numbers: [75, 119]
Generated Node #3: [75, 119] from Operation: 17*7=119
Current State: 44:[75, 119], Operations: ['89-82=7', '17*7=119']
Exploring Operation: 119-75=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
17,
76,
74,
9
] | 28 | [
"17+76=93",
"74-9=65",
"93-65=28"
] | Current State: 28:[17, 76, 74, 9], Operations: []
Exploring Operation: 17+76=93, Resulting Numbers: [74, 9, 93]
Generated Node #2: [74, 9, 93] from Operation: 17+76=93
Current State: 28:[74, 9, 93], Operations: ['17+76=93']
Exploring Operation: 74-9=65, Resulting Numbers: [93, 65]
Generated Node #3: [93, 65] from Operation: 74-9=65
Current State: 28:[93, 65], Operations: ['17+76=93', '74-9=65']
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
19,
89,
38,
47
] | 21 | [
"38/19=2",
"89-47=42",
"42/2=21"
] | Current State: 21:[19, 89, 38, 47], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [89, 47, 2]
Generated Node #2: [89, 47, 2] from Operation: 38/19=2
Current State: 21:[89, 47, 2], Operations: ['38/19=2']
Exploring Operation: 89-47=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 89-47=42
Current State: 21:[2, 42], Operations: ['38/19=2', '89-47=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
96,
25,
2,
13
] | 97 | [
"96-25=71",
"2*13=26",
"71+26=97"
] | Current State: 97:[96, 25, 2, 13], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [2, 13, 71]
Generated Node #2: [2, 13, 71] from Operation: 96-25=71
Current State: 97:[2, 13, 71], Operations: ['96-25=71']
Exploring Operation: 2*13=26, Resulting Numbers: [71, 26]
Generated Node #3: [71, 26] from Operation: 2*13=26
Current State: 97:[71, 26], Operations: ['96-25=71', '2*13=26']
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
2,
27,
2,
36
] | 64 | [
"2/2=1",
"27+36=63",
"1+63=64"
] | Current State: 64:[2, 27, 2, 36], Operations: []
Exploring Operation: 2/2=1, Resulting Numbers: [27, 36, 1]
Generated Node #2: [27, 36, 1] from Operation: 2/2=1
Current State: 64:[27, 36, 1], Operations: ['2/2=1']
Exploring Operation: 27+36=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 27+36=63
Current State: 64:[1, 63], Operations: ['2/2=1', '27+36=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
72,
53,
52,
14
] | 86 | [
"72+14=86",
"53-52=1",
"86*1=86"
] | Current State: 86:[72, 53, 52, 14], Operations: []
Exploring Operation: 72+14=86, Resulting Numbers: [53, 52, 86]
Generated Node #2: [53, 52, 86] from Operation: 72+14=86
Current State: 86:[53, 52, 86], Operations: ['72+14=86']
Exploring Operation: 53-52=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 53-52=1
Current State: 86:[86, 1], Operations: ['72+14=86', '53-52=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
71,
40,
24
] | 73 | [
"40-24=16",
"9*16=144",
"144-71=73"
] | Current State: 73:[9, 71, 40, 24], Operations: []
Exploring Operation: 40-24=16, Resulting Numbers: [9, 71, 16]
Generated Node #2: [9, 71, 16] from Operation: 40-24=16
Current State: 73:[9, 71, 16], Operations: ['40-24=16']
Exploring Operation: 9*16=144, Resulting Numbers: [71, 144]
Generated Node #3: [71, 144] from Operation: 9*16=144
Current State: 73:[71, 144], Operations: ['40-24=16', '9*16=144']
Exploring Operation: 144-71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
24,
95,
4,
64
] | 51 | [
"24+95=119",
"4+64=68",
"119-68=51"
] | Current State: 51:[24, 95, 4, 64], Operations: []
Exploring Operation: 24+95=119, Resulting Numbers: [4, 64, 119]
Generated Node #2: [4, 64, 119] from Operation: 24+95=119
Current State: 51:[4, 64, 119], Operations: ['24+95=119']
Exploring Operation: 4+64=68, Resulting Numbers: [119, 68]
Generated Node #3: [119, 68] from Operation: 4+64=68
Current State: 51:[119, 68], Operations: ['24+95=119', '4+64=68']
Exploring Operation: 119-68=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
37,
55,
1,
53
] | 18 | [
"37-1=36",
"55-53=2",
"36/2=18"
] | Current State: 18:[37, 55, 1, 53], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [55, 53, 36]
Generated Node #2: [55, 53, 36] from Operation: 37-1=36
Current State: 18:[55, 53, 36], Operations: ['37-1=36']
Exploring Operation: 55-53=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 55-53=2
Current State: 18:[36, 2], Operations: ['37-1=36', '55-53=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
60,
8,
89
] | 83 | [
"2+8=10",
"60/10=6",
"89-6=83"
] | Current State: 83:[2, 60, 8, 89], Operations: []
Exploring Operation: 2+8=10, Resulting Numbers: [60, 89, 10]
Generated Node #2: [60, 89, 10] from Operation: 2+8=10
Current State: 83:[60, 89, 10], Operations: ['2+8=10']
Exploring Operation: 60/10=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 60/10=6
Current State: 83:[89, 6], Operations: ['2+8=10', '60/10=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
96,
70,
68,
67
] | 84 | [
"96-68=28",
"70-67=3",
"28*3=84"
] | Current State: 84:[96, 70, 68, 67], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [70, 67, 28]
Generated Node #2: [70, 67, 28] from Operation: 96-68=28
Current State: 84:[70, 67, 28], Operations: ['96-68=28']
Exploring Operation: 70-67=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 70-67=3
Current State: 84:[28, 3], Operations: ['96-68=28', '70-67=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
54,
44,
5,
29
] | 64 | [
"54+44=98",
"5+29=34",
"98-34=64"
] | Current State: 64:[54, 44, 5, 29], Operations: []
Exploring Operation: 54+44=98, Resulting Numbers: [5, 29, 98]
Generated Node #2: [5, 29, 98] from Operation: 54+44=98
Current State: 64:[5, 29, 98], Operations: ['54+44=98']
Exploring Operation: 5+29=34, Resulting Numbers: [98, 34]
Generated Node #3: [98, 34] from Operation: 5+29=34
Current State: 64:[98, 34], Operations: ['54+44=98', '5+29=34']
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
8,
30,
14,
98
] | 49 | [
"8*98=784",
"30-14=16",
"784/16=49"
] | Current State: 49:[8, 30, 14, 98], Operations: []
Exploring Operation: 8*98=784, Resulting Numbers: [30, 14, 784]
Generated Node #2: [30, 14, 784] from Operation: 8*98=784
Current State: 49:[30, 14, 784], Operations: ['8*98=784']
Exploring Operation: 30-14=16, Resulting Numbers: [784, 16]
Generated Node #3: [784, 16] from Operation: 30-14=16
Current State: 49:[784, 16], Operations: ['8*98=784', '30-14=16']
Exploring Operation: 784/16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
57,
59,
92,
61
] | 90 | [
"57+61=118",
"118/59=2",
"92-2=90"
] | Current State: 90:[57, 59, 92, 61], Operations: []
Exploring Operation: 57+61=118, Resulting Numbers: [59, 92, 118]
Generated Node #2: [59, 92, 118] from Operation: 57+61=118
Current State: 90:[59, 92, 118], Operations: ['57+61=118']
Exploring Operation: 118/59=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 118/59=2
Current State: 90:[92, 2], Operations: ['57+61=118', '118/59=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
86,
70,
67,
98
] | 36 | [
"98-86=12",
"70-67=3",
"12*3=36"
] | Current State: 36:[86, 70, 67, 98], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [70, 67, 12]
Generated Node #2: [70, 67, 12] from Operation: 98-86=12
Current State: 36:[70, 67, 12], Operations: ['98-86=12']
Exploring Operation: 70-67=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 70-67=3
Current State: 36:[12, 3], Operations: ['98-86=12', '70-67=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
56,
32,
93,
69
] | 48 | [
"56-32=24",
"93-69=24",
"24+24=48"
] | Current State: 48:[56, 32, 93, 69], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [93, 69, 24]
Generated Node #2: [93, 69, 24] from Operation: 56-32=24
Current State: 48:[93, 69, 24], Operations: ['56-32=24']
Exploring Operation: 93-69=24, Resulting Numbers: [24, 24]
Generated Node #3: [24, 24] from Operation: 93-69=24
Current State: 48:[24, 24], Operations: ['56-32=24', '93-69=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
24,
6,
29,
22
] | 46 | [
"24-22=2",
"29-6=23",
"2*23=46"
] | Current State: 46:[24, 6, 29, 22], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [6, 29, 2]
Generated Node #2: [6, 29, 2] from Operation: 24-22=2
Current State: 46:[6, 29, 2], Operations: ['24-22=2']
Exploring Operation: 29-6=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 29-6=23
Current State: 46:[2, 23], Operations: ['24-22=2', '29-6=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
92,
47,
49,
4
] | 96 | [
"92*49=4508",
"4+4508=4512",
"4512/47=96"
] | Current State: 96:[92, 47, 49, 4], Operations: []
Exploring Operation: 92*49=4508, Resulting Numbers: [47, 4, 4508]
Generated Node #2: [47, 4, 4508] from Operation: 92*49=4508
Current State: 96:[47, 4, 4508], Operations: ['92*49=4508']
Exploring Operation: 4+4508=4512, Resulting Numbers: [47, 4512]
Generated Node #3: [47, 4512] from Operation: 4+4508=4512
Current State: 96:[47, 4512], Operations: ['92*49=4508', '4+4508=4512']
Exploring Operation: 4512/47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
7,
75,
72,
55
] | 16 | [
"55-7=48",
"75-72=3",
"48/3=16"
] | Current State: 16:[7, 75, 72, 55], Operations: []
Exploring Operation: 55-7=48, Resulting Numbers: [75, 72, 48]
Generated Node #2: [75, 72, 48] from Operation: 55-7=48
Current State: 16:[75, 72, 48], Operations: ['55-7=48']
Exploring Operation: 75-72=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 75-72=3
Current State: 16:[48, 3], Operations: ['55-7=48', '75-72=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
57,
46,
83
] | 49 | [
"57-45=12",
"83-46=37",
"12+37=49"
] | Current State: 49:[45, 57, 46, 83], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [46, 83, 12]
Generated Node #2: [46, 83, 12] from Operation: 57-45=12
Current State: 49:[46, 83, 12], Operations: ['57-45=12']
Exploring Operation: 83-46=37, Resulting Numbers: [12, 37]
Generated Node #3: [12, 37] from Operation: 83-46=37
Current State: 49:[12, 37], Operations: ['57-45=12', '83-46=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
53,
75,
74
] | 51 | [
"74-53=21",
"6*21=126",
"126-75=51"
] | Current State: 51:[6, 53, 75, 74], Operations: []
Exploring Operation: 74-53=21, Resulting Numbers: [6, 75, 21]
Generated Node #2: [6, 75, 21] from Operation: 74-53=21
Current State: 51:[6, 75, 21], Operations: ['74-53=21']
Exploring Operation: 6*21=126, Resulting Numbers: [75, 126]
Generated Node #3: [75, 126] from Operation: 6*21=126
Current State: 51:[75, 126], Operations: ['74-53=21', '6*21=126']
Exploring Operation: 126-75=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
97,
82,
95,
98
] | 32 | [
"97-95=2",
"98-82=16",
"2*16=32"
] | Current State: 32:[97, 82, 95, 98], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [82, 98, 2]
Generated Node #2: [82, 98, 2] from Operation: 97-95=2
Current State: 32:[82, 98, 2], Operations: ['97-95=2']
Exploring Operation: 98-82=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 98-82=16
Current State: 32:[2, 16], Operations: ['97-95=2', '98-82=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
73,
41,
99,
3
] | 64 | [
"73-41=32",
"99-3=96",
"96-32=64"
] | Current State: 64:[73, 41, 99, 3], Operations: []
Exploring Operation: 73-41=32, Resulting Numbers: [99, 3, 32]
Generated Node #2: [99, 3, 32] from Operation: 73-41=32
Current State: 64:[99, 3, 32], Operations: ['73-41=32']
Exploring Operation: 99-3=96, Resulting Numbers: [32, 96]
Generated Node #3: [32, 96] from Operation: 99-3=96
Current State: 64:[32, 96], Operations: ['73-41=32', '99-3=96']
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
93,
44,
3,
29
] | 98 | [
"44-29=15",
"15/3=5",
"93+5=98"
] | Current State: 98:[93, 44, 3, 29], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [93, 3, 15]
Generated Node #2: [93, 3, 15] from Operation: 44-29=15
Current State: 98:[93, 3, 15], Operations: ['44-29=15']
Exploring Operation: 15/3=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 15/3=5
Current State: 98:[93, 5], Operations: ['44-29=15', '15/3=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
75,
33,
73,
2
] | 38 | [
"75+33=108",
"73*2=146",
"146-108=38"
] | Current State: 38:[75, 33, 73, 2], Operations: []
Exploring Operation: 75+33=108, Resulting Numbers: [73, 2, 108]
Generated Node #2: [73, 2, 108] from Operation: 75+33=108
Current State: 38:[73, 2, 108], Operations: ['75+33=108']
Exploring Operation: 73*2=146, Resulting Numbers: [108, 146]
Generated Node #3: [108, 146] from Operation: 73*2=146
Current State: 38:[108, 146], Operations: ['75+33=108', '73*2=146']
Exploring Operation: 146-108=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
86,
6,
33,
69
] | 92 | [
"69-33=36",
"36/6=6",
"86+6=92"
] | Current State: 92:[86, 6, 33, 69], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [86, 6, 36]
Generated Node #2: [86, 6, 36] from Operation: 69-33=36
Current State: 92:[86, 6, 36], Operations: ['69-33=36']
Exploring Operation: 36/6=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 36/6=6
Current State: 92:[86, 6], Operations: ['69-33=36', '36/6=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
10,
94,
17,
20
] | 96 | [
"10*17=170",
"94-20=74",
"170-74=96"
] | Current State: 96:[10, 94, 17, 20], Operations: []
Exploring Operation: 10*17=170, Resulting Numbers: [94, 20, 170]
Generated Node #2: [94, 20, 170] from Operation: 10*17=170
Current State: 96:[94, 20, 170], Operations: ['10*17=170']
Exploring Operation: 94-20=74, Resulting Numbers: [170, 74]
Generated Node #3: [170, 74] from Operation: 94-20=74
Current State: 96:[170, 74], Operations: ['10*17=170', '94-20=74']
Exploring Operation: 170-74=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
94,
59,
71,
1
] | 36 | [
"94-59=35",
"71*1=71",
"71-35=36"
] | Current State: 36:[94, 59, 71, 1], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [71, 1, 35]
Generated Node #2: [71, 1, 35] from Operation: 94-59=35
Current State: 36:[71, 1, 35], Operations: ['94-59=35']
Exploring Operation: 71*1=71, Resulting Numbers: [35, 71]
Generated Node #3: [35, 71] from Operation: 71*1=71
Current State: 36:[35, 71], Operations: ['94-59=35', '71*1=71']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
82,
77,
77,
50
] | 82 | [
"77-77=0",
"50*0=0",
"82+0=82"
] | Current State: 82:[82, 77, 77, 50], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [82, 50, 0]
Generated Node #2: [82, 50, 0] from Operation: 77-77=0
Current State: 82:[82, 50, 0], Operations: ['77-77=0']
Exploring Operation: 50*0=0, Resulting Numbers: [82, 0]
Generated Node #3: [82, 0] from Operation: 50*0=0
Current State: 82:[82, 0], Operations: ['77-77=0', '50*0=0']
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
51,
36,
94
] | 14 | [
"65+51=116",
"36+94=130",
"130-116=14"
] | Current State: 14:[65, 51, 36, 94], Operations: []
Exploring Operation: 65+51=116, Resulting Numbers: [36, 94, 116]
Generated Node #2: [36, 94, 116] from Operation: 65+51=116
Current State: 14:[36, 94, 116], Operations: ['65+51=116']
Exploring Operation: 36+94=130, Resulting Numbers: [116, 130]
Generated Node #3: [116, 130] from Operation: 36+94=130
Current State: 14:[116, 130], Operations: ['65+51=116', '36+94=130']
Exploring Operation: 130-116=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
55,
50,
45,
24
] | 22 | [
"55+45=100",
"100/50=2",
"24-2=22"
] | Current State: 22:[55, 50, 45, 24], Operations: []
Exploring Operation: 55+45=100, Resulting Numbers: [50, 24, 100]
Generated Node #2: [50, 24, 100] from Operation: 55+45=100
Current State: 22:[50, 24, 100], Operations: ['55+45=100']
Exploring Operation: 100/50=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 100/50=2
Current State: 22:[24, 2], Operations: ['55+45=100', '100/50=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
71,
4,
61,
51
] | 45 | [
"71-4=67",
"61+51=112",
"112-67=45"
] | Current State: 45:[71, 4, 61, 51], Operations: []
Exploring Operation: 71-4=67, Resulting Numbers: [61, 51, 67]
Generated Node #2: [61, 51, 67] from Operation: 71-4=67
Current State: 45:[61, 51, 67], Operations: ['71-4=67']
Exploring Operation: 61+51=112, Resulting Numbers: [67, 112]
Generated Node #3: [67, 112] from Operation: 61+51=112
Current State: 45:[67, 112], Operations: ['71-4=67', '61+51=112']
Exploring Operation: 112-67=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
10,
43,
83,
10
] | 20 | [
"10+43=53",
"83-10=73",
"73-53=20"
] | Current State: 20:[10, 43, 83, 10], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [83, 53]
Generated Node #2: [83, 53] from Operation: 10+43=53
Current State: 20:[83, 53], Operations: ['10+43=53']
Exploring Operation: 83-10=73, Resulting Numbers: [53, 73]
Generated Node #3: [53, 73] from Operation: 83-10=73
Current State: 20:[53, 73], Operations: ['10+43=53', '83-10=73']
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
25,
16,
5,
32
] | 55 | [
"25*32=800",
"800/16=50",
"5+50=55"
] | Current State: 55:[25, 16, 5, 32], Operations: []
Exploring Operation: 25*32=800, Resulting Numbers: [16, 5, 800]
Generated Node #2: [16, 5, 800] from Operation: 25*32=800
Current State: 55:[16, 5, 800], Operations: ['25*32=800']
Exploring Operation: 800/16=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 800/16=50
Current State: 55:[5, 50], Operations: ['25*32=800', '800/16=50']
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
79,
36,
71
] | 26 | [
"54+79=133",
"36+71=107",
"133-107=26"
] | Current State: 26:[54, 79, 36, 71], Operations: []
Exploring Operation: 54+79=133, Resulting Numbers: [36, 71, 133]
Generated Node #2: [36, 71, 133] from Operation: 54+79=133
Current State: 26:[36, 71, 133], Operations: ['54+79=133']
Exploring Operation: 36+71=107, Resulting Numbers: [133, 107]
Generated Node #3: [133, 107] from Operation: 36+71=107
Current State: 26:[133, 107], Operations: ['54+79=133', '36+71=107']
Exploring Operation: 133-107=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
38,
66,
53,
3
] | 21 | [
"53-38=15",
"3*15=45",
"66-45=21"
] | Current State: 21:[38, 66, 53, 3], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [66, 3, 15]
Generated Node #2: [66, 3, 15] from Operation: 53-38=15
Current State: 21:[66, 3, 15], Operations: ['53-38=15']
Exploring Operation: 3*15=45, Resulting Numbers: [66, 45]
Generated Node #3: [66, 45] from Operation: 3*15=45
Current State: 21:[66, 45], Operations: ['53-38=15', '3*15=45']
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
50,
18,
95
] | 54 | [
"42+50=92",
"95-92=3",
"18*3=54"
] | Current State: 54:[42, 50, 18, 95], Operations: []
Exploring Operation: 42+50=92, Resulting Numbers: [18, 95, 92]
Generated Node #2: [18, 95, 92] from Operation: 42+50=92
Current State: 54:[18, 95, 92], Operations: ['42+50=92']
Exploring Operation: 95-92=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 95-92=3
Current State: 54:[18, 3], Operations: ['42+50=92', '95-92=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
25,
6,
15,
68
] | 67 | [
"25*6=150",
"15+68=83",
"150-83=67"
] | Current State: 67:[25, 6, 15, 68], Operations: []
Exploring Operation: 25*6=150, Resulting Numbers: [15, 68, 150]
Generated Node #2: [15, 68, 150] from Operation: 25*6=150
Current State: 67:[15, 68, 150], Operations: ['25*6=150']
Exploring Operation: 15+68=83, Resulting Numbers: [150, 83]
Generated Node #3: [150, 83] from Operation: 15+68=83
Current State: 67:[150, 83], Operations: ['25*6=150', '15+68=83']
Exploring Operation: 150-83=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
99,
81,
35,
33
] | 20 | [
"99-81=18",
"35-33=2",
"18+2=20"
] | Current State: 20:[99, 81, 35, 33], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [35, 33, 18]
Generated Node #2: [35, 33, 18] from Operation: 99-81=18
Current State: 20:[35, 33, 18], Operations: ['99-81=18']
Exploring Operation: 35-33=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 35-33=2
Current State: 20:[18, 2], Operations: ['99-81=18', '35-33=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
65,
8,
64,
20
] | 29 | [
"65+8=73",
"64-20=44",
"73-44=29"
] | Current State: 29:[65, 8, 64, 20], Operations: []
Exploring Operation: 65+8=73, Resulting Numbers: [64, 20, 73]
Generated Node #2: [64, 20, 73] from Operation: 65+8=73
Current State: 29:[64, 20, 73], Operations: ['65+8=73']
Exploring Operation: 64-20=44, Resulting Numbers: [73, 44]
Generated Node #3: [73, 44] from Operation: 64-20=44
Current State: 29:[73, 44], Operations: ['65+8=73', '64-20=44']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
65,
7,
98,
28
] | 33 | [
"65+98=163",
"7*28=196",
"196-163=33"
] | Current State: 33:[65, 7, 98, 28], Operations: []
Exploring Operation: 65+98=163, Resulting Numbers: [7, 28, 163]
Generated Node #2: [7, 28, 163] from Operation: 65+98=163
Current State: 33:[7, 28, 163], Operations: ['65+98=163']
Exploring Operation: 7*28=196, Resulting Numbers: [163, 196]
Generated Node #3: [163, 196] from Operation: 7*28=196
Current State: 33:[163, 196], Operations: ['65+98=163', '7*28=196']
Exploring Operation: 196-163=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
40,
75,
13,
31
] | 97 | [
"40+75=115",
"31-13=18",
"115-18=97"
] | Current State: 97:[40, 75, 13, 31], Operations: []
Exploring Operation: 40+75=115, Resulting Numbers: [13, 31, 115]
Generated Node #2: [13, 31, 115] from Operation: 40+75=115
Current State: 97:[13, 31, 115], Operations: ['40+75=115']
Exploring Operation: 31-13=18, Resulting Numbers: [115, 18]
Generated Node #3: [115, 18] from Operation: 31-13=18
Current State: 97:[115, 18], Operations: ['40+75=115', '31-13=18']
Exploring Operation: 115-18=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
75,
4,
80,
30
] | 30 | [
"75+4=79",
"80-79=1",
"30*1=30"
] | Current State: 30:[75, 4, 80, 30], Operations: []
Exploring Operation: 75+4=79, Resulting Numbers: [80, 30, 79]
Generated Node #2: [80, 30, 79] from Operation: 75+4=79
Current State: 30:[80, 30, 79], Operations: ['75+4=79']
Exploring Operation: 80-79=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 80-79=1
Current State: 30:[30, 1], Operations: ['75+4=79', '80-79=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
23,
24,
81
] | 86 | [
"5+81=86",
"24-23=1",
"86*1=86"
] | Current State: 86:[5, 23, 24, 81], Operations: []
Exploring Operation: 5+81=86, Resulting Numbers: [23, 24, 86]
Generated Node #2: [23, 24, 86] from Operation: 5+81=86
Current State: 86:[23, 24, 86], Operations: ['5+81=86']
Exploring Operation: 24-23=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 24-23=1
Current State: 86:[86, 1], Operations: ['5+81=86', '24-23=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
84,
56,
8,
1
] | 19 | [
"84-56=28",
"8+1=9",
"28-9=19"
] | Current State: 19:[84, 56, 8, 1], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [8, 1, 28]
Generated Node #2: [8, 1, 28] from Operation: 84-56=28
Current State: 19:[8, 1, 28], Operations: ['84-56=28']
Exploring Operation: 8+1=9, Resulting Numbers: [28, 9]
Generated Node #3: [28, 9] from Operation: 8+1=9
Current State: 19:[28, 9], Operations: ['84-56=28', '8+1=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
48,
3,
50,
72
] | 26 | [
"50-48=2",
"72/3=24",
"2+24=26"
] | Current State: 26:[48, 3, 50, 72], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [3, 72, 2]
Generated Node #2: [3, 72, 2] from Operation: 50-48=2
Current State: 26:[3, 72, 2], Operations: ['50-48=2']
Exploring Operation: 72/3=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 72/3=24
Current State: 26:[2, 24], Operations: ['50-48=2', '72/3=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
12,
35,
84,
67
] | 72 | [
"12*35=420",
"420/84=5",
"67+5=72"
] | Current State: 72:[12, 35, 84, 67], Operations: []
Exploring Operation: 12*35=420, Resulting Numbers: [84, 67, 420]
Generated Node #2: [84, 67, 420] from Operation: 12*35=420
Current State: 72:[84, 67, 420], Operations: ['12*35=420']
Exploring Operation: 420/84=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 420/84=5
Current State: 72:[67, 5], Operations: ['12*35=420', '420/84=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
99,
63,
27
] | 72 | [
"99+63=162",
"12*162=1944",
"1944/27=72"
] | Current State: 72:[12, 99, 63, 27], Operations: []
Exploring Operation: 99+63=162, Resulting Numbers: [12, 27, 162]
Generated Node #2: [12, 27, 162] from Operation: 99+63=162
Current State: 72:[12, 27, 162], Operations: ['99+63=162']
Exploring Operation: 12*162=1944, Resulting Numbers: [27, 1944]
Generated Node #3: [27, 1944] from Operation: 12*162=1944
Current State: 72:[27, 1944], Operations: ['99+63=162', '12*162=1944']
Exploring Operation: 1944/27=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
52,
43,
86,
15
] | 80 | [
"52-43=9",
"86-15=71",
"9+71=80"
] | Current State: 80:[52, 43, 86, 15], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [86, 15, 9]
Generated Node #2: [86, 15, 9] from Operation: 52-43=9
Current State: 80:[86, 15, 9], Operations: ['52-43=9']
Exploring Operation: 86-15=71, Resulting Numbers: [9, 71]
Generated Node #3: [9, 71] from Operation: 86-15=71
Current State: 80:[9, 71], Operations: ['52-43=9', '86-15=71']
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
30,
11,
30,
31
] | 79 | [
"30*30=900",
"900-31=869",
"869/11=79"
] | Current State: 79:[30, 11, 30, 31], Operations: []
Exploring Operation: 30*30=900, Resulting Numbers: [11, 31, 900]
Generated Node #2: [11, 31, 900] from Operation: 30*30=900
Current State: 79:[11, 31, 900], Operations: ['30*30=900']
Exploring Operation: 900-31=869, Resulting Numbers: [11, 869]
Generated Node #3: [11, 869] from Operation: 900-31=869
Current State: 79:[11, 869], Operations: ['30*30=900', '900-31=869']
Exploring Operation: 869/11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
95,
34,
86,
41
] | 63 | [
"95-86=9",
"41-34=7",
"9*7=63"
] | Current State: 63:[95, 34, 86, 41], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [34, 41, 9]
Generated Node #2: [34, 41, 9] from Operation: 95-86=9
Current State: 63:[34, 41, 9], Operations: ['95-86=9']
Exploring Operation: 41-34=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 41-34=7
Current State: 63:[9, 7], Operations: ['95-86=9', '41-34=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
21,
57,
57,
78
] | 58 | [
"21+57=78",
"78/78=1",
"57+1=58"
] | Current State: 58:[21, 57, 57, 78], Operations: []
Exploring Operation: 21+57=78, Resulting Numbers: [78, 78]
Generated Node #2: [78, 78] from Operation: 21+57=78
Current State: 58:[78, 78], Operations: ['21+57=78']
Exploring Operation: 78/78=1, Resulting Numbers: [1]
1,58 equal: Goal Reached
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
86,
99,
73
] | 68 | [
"99+73=172",
"172/86=2",
"70-2=68"
] | Current State: 68:[70, 86, 99, 73], Operations: []
Exploring Operation: 99+73=172, Resulting Numbers: [70, 86, 172]
Generated Node #2: [70, 86, 172] from Operation: 99+73=172
Current State: 68:[70, 86, 172], Operations: ['99+73=172']
Exploring Operation: 172/86=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 172/86=2
Current State: 68:[70, 2], Operations: ['99+73=172', '172/86=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
88,
64,
47,
16
] | 34 | [
"64*47=3008",
"3008-16=2992",
"2992/88=34"
] | Current State: 34:[88, 64, 47, 16], Operations: []
Exploring Operation: 64*47=3008, Resulting Numbers: [88, 16, 3008]
Generated Node #2: [88, 16, 3008] from Operation: 64*47=3008
Current State: 34:[88, 16, 3008], Operations: ['64*47=3008']
Exploring Operation: 3008-16=2992, Resulting Numbers: [88, 2992]
Generated Node #3: [88, 2992] from Operation: 3008-16=2992
Current State: 34:[88, 2992], Operations: ['64*47=3008', '3008-16=2992']
Exploring Operation: 2992/88=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
76,
66,
69,
73
] | 47 | [
"76-73=3",
"66/3=22",
"69-22=47"
] | Current State: 47:[76, 66, 69, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [66, 69, 3]
Generated Node #2: [66, 69, 3] from Operation: 76-73=3
Current State: 47:[66, 69, 3], Operations: ['76-73=3']
Exploring Operation: 66/3=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 66/3=22
Current State: 47:[69, 22], Operations: ['76-73=3', '66/3=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
77,
38,
88,
13
] | 76 | [
"88-77=11",
"13-11=2",
"38*2=76"
] | Current State: 76:[77, 38, 88, 13], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [38, 13, 11]
Generated Node #2: [38, 13, 11] from Operation: 88-77=11
Current State: 76:[38, 13, 11], Operations: ['88-77=11']
Exploring Operation: 13-11=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 13-11=2
Current State: 76:[38, 2], Operations: ['88-77=11', '13-11=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
18,
3,
51,
3
] | 36 | [
"3+51=54",
"54/3=18",
"18+18=36"
] | Current State: 36:[18, 3, 51, 3], Operations: []
Exploring Operation: 3+51=54, Resulting Numbers: [18, 54]
Generated Node #2: [18, 54] from Operation: 3+51=54
Current State: 36:[18, 54], Operations: ['3+51=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18, 18]
Generated Node #3: [18, 18] from Operation: 54/3=18
Current State: 36:[18, 18], Operations: ['3+51=54', '54/3=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
7,
59,
60,
58
] | 54 | [
"59-7=52",
"60-58=2",
"52+2=54"
] | Current State: 54:[7, 59, 60, 58], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [60, 58, 52]
Generated Node #2: [60, 58, 52] from Operation: 59-7=52
Current State: 54:[60, 58, 52], Operations: ['59-7=52']
Exploring Operation: 60-58=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 60-58=2
Current State: 54:[52, 2], Operations: ['59-7=52', '60-58=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
72,
12,
5,
10
] | 48 | [
"72*5=360",
"360/10=36",
"12+36=48"
] | Current State: 48:[72, 12, 5, 10], Operations: []
Exploring Operation: 72*5=360, Resulting Numbers: [12, 10, 360]
Generated Node #2: [12, 10, 360] from Operation: 72*5=360
Current State: 48:[12, 10, 360], Operations: ['72*5=360']
Exploring Operation: 360/10=36, Resulting Numbers: [12, 36]
Generated Node #3: [12, 36] from Operation: 360/10=36
Current State: 48:[12, 36], Operations: ['72*5=360', '360/10=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
59,
60,
74,
68
] | 23 | [
"59+60=119",
"74+68=142",
"142-119=23"
] | Current State: 23:[59, 60, 74, 68], Operations: []
Exploring Operation: 59+60=119, Resulting Numbers: [74, 68, 119]
Generated Node #2: [74, 68, 119] from Operation: 59+60=119
Current State: 23:[74, 68, 119], Operations: ['59+60=119']
Exploring Operation: 74+68=142, Resulting Numbers: [119, 142]
Generated Node #3: [119, 142] from Operation: 74+68=142
Current State: 23:[119, 142], Operations: ['59+60=119', '74+68=142']
Exploring Operation: 142-119=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
66,
2,
7,
5
] | 65 | [
"7-2=5",
"5/5=1",
"66-1=65"
] | Current State: 65:[66, 2, 7, 5], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [66, 5, 5]
Generated Node #2: [66, 5, 5] from Operation: 7-2=5
Current State: 65:[66, 5, 5], Operations: ['7-2=5']
Exploring Operation: 5/5=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 5/5=1
Current State: 65:[66, 1], Operations: ['7-2=5', '5/5=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
97,
6,
10,
20
] | 97 | [
"97+6=103",
"10*20=200",
"200-103=97"
] | Current State: 97:[97, 6, 10, 20], Operations: []
Exploring Operation: 97+6=103, Resulting Numbers: [10, 20, 103]
Generated Node #2: [10, 20, 103] from Operation: 97+6=103
Current State: 97:[10, 20, 103], Operations: ['97+6=103']
Exploring Operation: 10*20=200, Resulting Numbers: [103, 200]
Generated Node #3: [103, 200] from Operation: 10*20=200
Current State: 97:[103, 200], Operations: ['97+6=103', '10*20=200']
Exploring Operation: 200-103=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
46,
71,
44,
59
] | 47 | [
"46-44=2",
"59*2=118",
"118-71=47"
] | Current State: 47:[46, 71, 44, 59], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [71, 59, 2]
Generated Node #2: [71, 59, 2] from Operation: 46-44=2
Current State: 47:[71, 59, 2], Operations: ['46-44=2']
Exploring Operation: 59*2=118, Resulting Numbers: [71, 118]
Generated Node #3: [71, 118] from Operation: 59*2=118
Current State: 47:[71, 118], Operations: ['46-44=2', '59*2=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
24,
92,
44,
44
] | 20 | [
"92-24=68",
"44+44=88",
"88-68=20"
] | Current State: 20:[24, 92, 44, 44], Operations: []
Exploring Operation: 92-24=68, Resulting Numbers: [44, 44, 68]
Generated Node #2: [44, 44, 68] from Operation: 92-24=68
Current State: 20:[44, 44, 68], Operations: ['92-24=68']
Exploring Operation: 44+44=88, Resulting Numbers: [68, 88]
Generated Node #3: [68, 88] from Operation: 44+44=88
Current State: 20:[68, 88], Operations: ['92-24=68', '44+44=88']
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
20,
94,
26,
24
] | 15 | [
"94+26=120",
"120/24=5",
"20-5=15"
] | Current State: 15:[20, 94, 26, 24], Operations: []
Exploring Operation: 94+26=120, Resulting Numbers: [20, 24, 120]
Generated Node #2: [20, 24, 120] from Operation: 94+26=120
Current State: 15:[20, 24, 120], Operations: ['94+26=120']
Exploring Operation: 120/24=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 120/24=5
Current State: 15:[20, 5], Operations: ['94+26=120', '120/24=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
13,
1,
32
] | 37 | [
"15*32=480",
"1+480=481",
"481/13=37"
] | Current State: 37:[15, 13, 1, 32], Operations: []
Exploring Operation: 15*32=480, Resulting Numbers: [13, 1, 480]
Generated Node #2: [13, 1, 480] from Operation: 15*32=480
Current State: 37:[13, 1, 480], Operations: ['15*32=480']
Exploring Operation: 1+480=481, Resulting Numbers: [13, 481]
Generated Node #3: [13, 481] from Operation: 1+480=481
Current State: 37:[13, 481], Operations: ['15*32=480', '1+480=481']
Exploring Operation: 481/13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
6,
18,
75,
30
] | 15 | [
"18/6=3",
"75-30=45",
"45/3=15"
] | Current State: 15:[6, 18, 75, 30], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [75, 30, 3]
Generated Node #2: [75, 30, 3] from Operation: 18/6=3
Current State: 15:[75, 30, 3], Operations: ['18/6=3']
Exploring Operation: 75-30=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 75-30=45
Current State: 15:[3, 45], Operations: ['18/6=3', '75-30=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
24,
10,
4,
80
] | 84 | [
"24/4=6",
"10+80=90",
"90-6=84"
] | Current State: 84:[24, 10, 4, 80], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [10, 80, 6]
Generated Node #2: [10, 80, 6] from Operation: 24/4=6
Current State: 84:[10, 80, 6], Operations: ['24/4=6']
Exploring Operation: 10+80=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 10+80=90
Current State: 84:[6, 90], Operations: ['24/4=6', '10+80=90']
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
6,
54,
13,
2
] | 53 | [
"6*2=12",
"54-13=41",
"12+41=53"
] | Current State: 53:[6, 54, 13, 2], Operations: []
Exploring Operation: 6*2=12, Resulting Numbers: [54, 13, 12]
Generated Node #2: [54, 13, 12] from Operation: 6*2=12
Current State: 53:[54, 13, 12], Operations: ['6*2=12']
Exploring Operation: 54-13=41, Resulting Numbers: [12, 41]
Generated Node #3: [12, 41] from Operation: 54-13=41
Current State: 53:[12, 41], Operations: ['6*2=12', '54-13=41']
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
67,
64,
5,
67
] | 64 | [
"67-67=0",
"5*0=0",
"64+0=64"
] | Current State: 64:[67, 64, 5, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [64, 5, 0]
Generated Node #2: [64, 5, 0] from Operation: 67-67=0
Current State: 64:[64, 5, 0], Operations: ['67-67=0']
Exploring Operation: 5*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 5*0=0
Current State: 64:[64, 0], Operations: ['67-67=0', '5*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
61,
83,
77
] | 23 | [
"77+61=138",
"83-77=6",
"138/6=23"
] | Current State: 23:[77, 61, 83, 77], Operations: []
Exploring Operation: 77+61=138, Resulting Numbers: [83, 138]
Generated Node #2: [83, 138] from Operation: 77+61=138
Current State: 23:[83, 138], Operations: ['77+61=138']
Exploring Operation: 83-77=6, Resulting Numbers: [138, 6]
Generated Node #3: [138, 6] from Operation: 83-77=6
Current State: 23:[138, 6], Operations: ['77+61=138', '83-77=6']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
51,
51,
75
] | 79 | [
"4+51=55",
"75-51=24",
"55+24=79"
] | Current State: 79:[4, 51, 51, 75], Operations: []
Exploring Operation: 4+51=55, Resulting Numbers: [75, 55]
Generated Node #2: [75, 55] from Operation: 4+51=55
Current State: 79:[75, 55], Operations: ['4+51=55']
Exploring Operation: 75-51=24, Resulting Numbers: [55, 24]
Generated Node #3: [55, 24] from Operation: 75-51=24
Current State: 79:[55, 24], Operations: ['4+51=55', '75-51=24']
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
66,
8,
56
] | 68 | [
"60-56=4",
"8/4=2",
"66+2=68"
] | Current State: 68:[60, 66, 8, 56], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [66, 8, 4]
Generated Node #2: [66, 8, 4] from Operation: 60-56=4
Current State: 68:[66, 8, 4], Operations: ['60-56=4']
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 8/4=2
Current State: 68:[66, 2], Operations: ['60-56=4', '8/4=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
81,
15,
42,
43
] | 97 | [
"81+15=96",
"43-42=1",
"96+1=97"
] | Current State: 97:[81, 15, 42, 43], Operations: []
Exploring Operation: 81+15=96, Resulting Numbers: [42, 43, 96]
Generated Node #2: [42, 43, 96] from Operation: 81+15=96
Current State: 97:[42, 43, 96], Operations: ['81+15=96']
Exploring Operation: 43-42=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 43-42=1
Current State: 97:[96, 1], Operations: ['81+15=96', '43-42=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
2,
62,
36
] | 69 | [
"62+36=98",
"98/2=49",
"20+49=69"
] | Current State: 69:[20, 2, 62, 36], Operations: []
Exploring Operation: 62+36=98, Resulting Numbers: [20, 2, 98]
Generated Node #2: [20, 2, 98] from Operation: 62+36=98
Current State: 69:[20, 2, 98], Operations: ['62+36=98']
Exploring Operation: 98/2=49, Resulting Numbers: [20, 49]
Generated Node #3: [20, 49] from Operation: 98/2=49
Current State: 69:[20, 49], Operations: ['62+36=98', '98/2=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
47,
25,
6,
23
] | 50 | [
"25-23=2",
"6/2=3",
"47+3=50"
] | Current State: 50:[47, 25, 6, 23], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [47, 6, 2]
Generated Node #2: [47, 6, 2] from Operation: 25-23=2
Current State: 50:[47, 6, 2], Operations: ['25-23=2']
Exploring Operation: 6/2=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 6/2=3
Current State: 50:[47, 3], Operations: ['25-23=2', '6/2=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
28,
83,
93
] | 74 | [
"92-28=64",
"93-83=10",
"64+10=74"
] | Current State: 74:[92, 28, 83, 93], Operations: []
Exploring Operation: 92-28=64, Resulting Numbers: [83, 93, 64]
Generated Node #2: [83, 93, 64] from Operation: 92-28=64
Current State: 74:[83, 93, 64], Operations: ['92-28=64']
Exploring Operation: 93-83=10, Resulting Numbers: [64, 10]
Generated Node #3: [64, 10] from Operation: 93-83=10
Current State: 74:[64, 10], Operations: ['92-28=64', '93-83=10']
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
35,
99,
81,
16
] | 37 | [
"35+99=134",
"81+16=97",
"134-97=37"
] | Current State: 37:[35, 99, 81, 16], Operations: []
Exploring Operation: 35+99=134, Resulting Numbers: [81, 16, 134]
Generated Node #2: [81, 16, 134] from Operation: 35+99=134
Current State: 37:[81, 16, 134], Operations: ['35+99=134']
Exploring Operation: 81+16=97, Resulting Numbers: [134, 97]
Generated Node #3: [134, 97] from Operation: 81+16=97
Current State: 37:[134, 97], Operations: ['35+99=134', '81+16=97']
Exploring Operation: 134-97=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
9,
14,
34,
8
] | 54 | [
"14+34=48",
"9*48=432",
"432/8=54"
] | Current State: 54:[9, 14, 34, 8], Operations: []
Exploring Operation: 14+34=48, Resulting Numbers: [9, 8, 48]
Generated Node #2: [9, 8, 48] from Operation: 14+34=48
Current State: 54:[9, 8, 48], Operations: ['14+34=48']
Exploring Operation: 9*48=432, Resulting Numbers: [8, 432]
Generated Node #3: [8, 432] from Operation: 9*48=432
Current State: 54:[8, 432], Operations: ['14+34=48', '9*48=432']
Exploring Operation: 432/8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
60,
80,
77,
44
] | 53 | [
"80-60=20",
"77-44=33",
"20+33=53"
] | Current State: 53:[60, 80, 77, 44], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [77, 44, 20]
Generated Node #2: [77, 44, 20] from Operation: 80-60=20
Current State: 53:[77, 44, 20], Operations: ['80-60=20']
Exploring Operation: 77-44=33, Resulting Numbers: [20, 33]
Generated Node #3: [20, 33] from Operation: 77-44=33
Current State: 53:[20, 33], Operations: ['80-60=20', '77-44=33']
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
63,
46,
92,
61
] | 92 | [
"63-61=2",
"92-46=46",
"2*46=92"
] | Current State: 92:[63, 46, 92, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [46, 92, 2]
Generated Node #2: [46, 92, 2] from Operation: 63-61=2
Current State: 92:[46, 92, 2], Operations: ['63-61=2']
Exploring Operation: 92-46=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 92-46=46
Current State: 92:[2, 46], Operations: ['63-61=2', '92-46=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
15,
61,
77,
23
] | 54 | [
"61-15=46",
"77+23=100",
"100-46=54"
] | Current State: 54:[15, 61, 77, 23], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [77, 23, 46]
Generated Node #2: [77, 23, 46] from Operation: 61-15=46
Current State: 54:[77, 23, 46], Operations: ['61-15=46']
Exploring Operation: 77+23=100, Resulting Numbers: [46, 100]
Generated Node #3: [46, 100] from Operation: 77+23=100
Current State: 54:[46, 100], Operations: ['61-15=46', '77+23=100']
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
87,
69,
10
] | 78 | [
"10/5=2",
"87+69=156",
"156/2=78"
] | Current State: 78:[5, 87, 69, 10], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [87, 69, 2]
Generated Node #2: [87, 69, 2] from Operation: 10/5=2
Current State: 78:[87, 69, 2], Operations: ['10/5=2']
Exploring Operation: 87+69=156, Resulting Numbers: [2, 156]
Generated Node #3: [2, 156] from Operation: 87+69=156
Current State: 78:[2, 156], Operations: ['10/5=2', '87+69=156']
Exploring Operation: 156/2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
45,
36,
65,
50
] | 49 | [
"50-45=5",
"65/5=13",
"36+13=49"
] | Current State: 49:[45, 36, 65, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [36, 65, 5]
Generated Node #2: [36, 65, 5] from Operation: 50-45=5
Current State: 49:[36, 65, 5], Operations: ['50-45=5']
Exploring Operation: 65/5=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 65/5=13
Current State: 49:[36, 13], Operations: ['50-45=5', '65/5=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
82,
11,
25,
20
] | 76 | [
"82-11=71",
"25-20=5",
"71+5=76"
] | Current State: 76:[82, 11, 25, 20], Operations: []
Exploring Operation: 82-11=71, Resulting Numbers: [25, 20, 71]
Generated Node #2: [25, 20, 71] from Operation: 82-11=71
Current State: 76:[25, 20, 71], Operations: ['82-11=71']
Exploring Operation: 25-20=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 25-20=5
Current State: 76:[71, 5], Operations: ['82-11=71', '25-20=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
97,
50,
75,
5
] | 68 | [
"97+5=102",
"50*102=5100",
"5100/75=68"
] | Current State: 68:[97, 50, 75, 5], Operations: []
Exploring Operation: 97+5=102, Resulting Numbers: [50, 75, 102]
Generated Node #2: [50, 75, 102] from Operation: 97+5=102
Current State: 68:[50, 75, 102], Operations: ['97+5=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [75, 5100]
Generated Node #3: [75, 5100] from Operation: 50*102=5100
Current State: 68:[75, 5100], Operations: ['97+5=102', '50*102=5100']
Exploring Operation: 5100/75=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
24,
25,
50,
60
] | 61 | [
"24+25=49",
"50+60=110",
"110-49=61"
] | Current State: 61:[24, 25, 50, 60], Operations: []
Exploring Operation: 24+25=49, Resulting Numbers: [50, 60, 49]
Generated Node #2: [50, 60, 49] from Operation: 24+25=49
Current State: 61:[50, 60, 49], Operations: ['24+25=49']
Exploring Operation: 50+60=110, Resulting Numbers: [49, 110]
Generated Node #3: [49, 110] from Operation: 50+60=110
Current State: 61:[49, 110], Operations: ['24+25=49', '50+60=110']
Exploring Operation: 110-49=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
2,
98,
57
] | 95 | [
"62-2=60",
"98+57=155",
"155-60=95"
] | Current State: 95:[62, 2, 98, 57], Operations: []
Exploring Operation: 62-2=60, Resulting Numbers: [98, 57, 60]
Generated Node #2: [98, 57, 60] from Operation: 62-2=60
Current State: 95:[98, 57, 60], Operations: ['62-2=60']
Exploring Operation: 98+57=155, Resulting Numbers: [60, 155]
Generated Node #3: [60, 155] from Operation: 98+57=155
Current State: 95:[60, 155], Operations: ['62-2=60', '98+57=155']
Exploring Operation: 155-60=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
44,
31,
49
] | 49 | [
"44-14=30",
"31-30=1",
"49*1=49"
] | Current State: 49:[14, 44, 31, 49], Operations: []
Exploring Operation: 44-14=30, Resulting Numbers: [31, 49, 30]
Generated Node #2: [31, 49, 30] from Operation: 44-14=30
Current State: 49:[31, 49, 30], Operations: ['44-14=30']
Exploring Operation: 31-30=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 31-30=1
Current State: 49:[49, 1], Operations: ['44-14=30', '31-30=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
72,
86,
29
] | 52 | [
"77-72=5",
"86-29=57",
"57-5=52"
] | Current State: 52:[77, 72, 86, 29], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [86, 29, 5]
Generated Node #2: [86, 29, 5] from Operation: 77-72=5
Current State: 52:[86, 29, 5], Operations: ['77-72=5']
Exploring Operation: 86-29=57, Resulting Numbers: [5, 57]
Generated Node #3: [5, 57] from Operation: 86-29=57
Current State: 52:[5, 57], Operations: ['77-72=5', '86-29=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
99,
83,
20,
4
] | 84 | [
"99-83=16",
"4*16=64",
"20+64=84"
] | Current State: 84:[99, 83, 20, 4], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [20, 4, 16]
Generated Node #2: [20, 4, 16] from Operation: 99-83=16
Current State: 84:[20, 4, 16], Operations: ['99-83=16']
Exploring Operation: 4*16=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 4*16=64
Current State: 84:[20, 64], Operations: ['99-83=16', '4*16=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
45,
31,
16
] | 77 | [
"45-15=30",
"31+16=47",
"30+47=77"
] | Current State: 77:[15, 45, 31, 16], Operations: []
Exploring Operation: 45-15=30, Resulting Numbers: [31, 16, 30]
Generated Node #2: [31, 16, 30] from Operation: 45-15=30
Current State: 77:[31, 16, 30], Operations: ['45-15=30']
Exploring Operation: 31+16=47, Resulting Numbers: [30, 47]
Generated Node #3: [30, 47] from Operation: 31+16=47
Current State: 77:[30, 47], Operations: ['45-15=30', '31+16=47']
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
57,
5,
37
] | 34 | [
"94+57=151",
"5*37=185",
"185-151=34"
] | Current State: 34:[94, 57, 5, 37], Operations: []
Exploring Operation: 94+57=151, Resulting Numbers: [5, 37, 151]
Generated Node #2: [5, 37, 151] from Operation: 94+57=151
Current State: 34:[5, 37, 151], Operations: ['94+57=151']
Exploring Operation: 5*37=185, Resulting Numbers: [151, 185]
Generated Node #3: [151, 185] from Operation: 5*37=185
Current State: 34:[151, 185], Operations: ['94+57=151', '5*37=185']
Exploring Operation: 185-151=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
78,
13,
78,
17
] | 29 | [
"78+78=156",
"156/13=12",
"17+12=29"
] | Current State: 29:[78, 13, 78, 17], Operations: []
Exploring Operation: 78+78=156, Resulting Numbers: [13, 17, 156]
Generated Node #2: [13, 17, 156] from Operation: 78+78=156
Current State: 29:[13, 17, 156], Operations: ['78+78=156']
Exploring Operation: 156/13=12, Resulting Numbers: [17, 12]
Generated Node #3: [17, 12] from Operation: 156/13=12
Current State: 29:[17, 12], Operations: ['78+78=156', '156/13=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
17,
56,
1,
15
] | 27 | [
"17-15=2",
"56/2=28",
"28-1=27"
] | Current State: 27:[17, 56, 1, 15], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [56, 1, 2]
Generated Node #2: [56, 1, 2] from Operation: 17-15=2
Current State: 27:[56, 1, 2], Operations: ['17-15=2']
Exploring Operation: 56/2=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 56/2=28
Current State: 27:[1, 28], Operations: ['17-15=2', '56/2=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
82,
65,
7,
54
] | 99 | [
"65+54=119",
"119/7=17",
"82+17=99"
] | Current State: 99:[82, 65, 7, 54], Operations: []
Exploring Operation: 65+54=119, Resulting Numbers: [82, 7, 119]
Generated Node #2: [82, 7, 119] from Operation: 65+54=119
Current State: 99:[82, 7, 119], Operations: ['65+54=119']
Exploring Operation: 119/7=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 119/7=17
Current State: 99:[82, 17], Operations: ['65+54=119', '119/7=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
34,
5,
19,
24
] | 95 | [
"34-5=29",
"29-24=5",
"19*5=95"
] | Current State: 95:[34, 5, 19, 24], Operations: []
Exploring Operation: 34-5=29, Resulting Numbers: [19, 24, 29]
Generated Node #2: [19, 24, 29] from Operation: 34-5=29
Current State: 95:[19, 24, 29], Operations: ['34-5=29']
Exploring Operation: 29-24=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 29-24=5
Current State: 95:[19, 5], Operations: ['34-5=29', '29-24=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
99,
2,
60,
15
] | 56 | [
"99+2=101",
"60-15=45",
"101-45=56"
] | Current State: 56:[99, 2, 60, 15], Operations: []
Exploring Operation: 99+2=101, Resulting Numbers: [60, 15, 101]
Generated Node #2: [60, 15, 101] from Operation: 99+2=101
Current State: 56:[60, 15, 101], Operations: ['99+2=101']
Exploring Operation: 60-15=45, Resulting Numbers: [101, 45]
Generated Node #3: [101, 45] from Operation: 60-15=45
Current State: 56:[101, 45], Operations: ['99+2=101', '60-15=45']
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
85,
10,
67,
5
] | 13 | [
"85-10=75",
"67-5=62",
"75-62=13"
] | Current State: 13:[85, 10, 67, 5], Operations: []
Exploring Operation: 85-10=75, Resulting Numbers: [67, 5, 75]
Generated Node #2: [67, 5, 75] from Operation: 85-10=75
Current State: 13:[67, 5, 75], Operations: ['85-10=75']
Exploring Operation: 67-5=62, Resulting Numbers: [75, 62]
Generated Node #3: [75, 62] from Operation: 67-5=62
Current State: 13:[75, 62], Operations: ['85-10=75', '67-5=62']
Exploring Operation: 75-62=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
66,
36,
6,
60
] | 62 | [
"66+6=72",
"72/36=2",
"60+2=62"
] | Current State: 62:[66, 36, 6, 60], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [36, 60, 72]
Generated Node #2: [36, 60, 72] from Operation: 66+6=72
Current State: 62:[36, 60, 72], Operations: ['66+6=72']
Exploring Operation: 72/36=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 72/36=2
Current State: 62:[60, 2], Operations: ['66+6=72', '72/36=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
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