nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
60,
9,
98,
7
] | 54
|
[
"60-9=51",
"98+7=105",
"105-51=54"
] |
Current State: 54:[60, 9, 98, 7], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [98, 7, 51]
Generated Node #2: [98, 7, 51] from Operation: 60-9=51
Current State: 54:[98, 7, 51], Operations: ['60-9=51']
Exploring Operation: 98+7=105, Resulting Numbers: [51, 105]
Generated Node #3: [51, 105] from Operation: 98+7=105
Current State: 54:[51, 105], Operations: ['60-9=51', '98+7=105']
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
38,
24,
25,
68
] | 57
|
[
"38-24=14",
"68-25=43",
"14+43=57"
] |
Current State: 57:[38, 24, 25, 68], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [25, 68, 14]
Generated Node #2: [25, 68, 14] from Operation: 38-24=14
Current State: 57:[25, 68, 14], Operations: ['38-24=14']
Exploring Operation: 68-25=43, Resulting Numbers: [14, 43]
Generated Node #3: [14, 43] from Operation: 68-25=43
Current State: 57:[14, 43], Operations: ['38-24=14', '68-25=43']
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
2,
22,
13,
83
] | 81
|
[
"22/2=11",
"83-13=70",
"11+70=81"
] |
Current State: 81:[2, 22, 13, 83], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [13, 83, 11]
Generated Node #2: [13, 83, 11] from Operation: 22/2=11
Current State: 81:[13, 83, 11], Operations: ['22/2=11']
Exploring Operation: 83-13=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 83-13=70
Current State: 81:[11, 70], Operations: ['22/2=11', '83-13=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
21,
96,
96,
73
] | 73
|
[
"96-96=0",
"21*0=0",
"73+0=73"
] |
Current State: 73:[21, 96, 96, 73], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [21, 73, 0]
Generated Node #2: [21, 73, 0] from Operation: 96-96=0
Current State: 73:[21, 73, 0], Operations: ['96-96=0']
Exploring Operation: 21*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 21*0=0
Current State: 73:[73, 0], Operations: ['96-96=0', '21*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
17,
33,
75,
10
] | 85
|
[
"33-17=16",
"10*16=160",
"160-75=85"
] |
Current State: 85:[17, 33, 75, 10], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [75, 10, 16]
Generated Node #2: [75, 10, 16] from Operation: 33-17=16
Current State: 85:[75, 10, 16], Operations: ['33-17=16']
Exploring Operation: 10*16=160, Resulting Numbers: [75, 160]
Generated Node #3: [75, 160] from Operation: 10*16=160
Current State: 85:[75, 160], Operations: ['33-17=16', '10*16=160']
Exploring Operation: 160-75=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
41,
59,
12,
77
] | 56
|
[
"77-41=36",
"36/12=3",
"59-3=56"
] |
Current State: 56:[41, 59, 12, 77], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [59, 12, 36]
Generated Node #2: [59, 12, 36] from Operation: 77-41=36
Current State: 56:[59, 12, 36], Operations: ['77-41=36']
Exploring Operation: 36/12=3, Resulting Numbers: [59, 3]
Generated Node #3: [59, 3] from Operation: 36/12=3
Current State: 56:[59, 3], Operations: ['77-41=36', '36/12=3']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
21,
40,
84,
65
] | 100
|
[
"84/21=4",
"65-40=25",
"4*25=100"
] |
Current State: 100:[21, 40, 84, 65], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [40, 65, 4]
Generated Node #2: [40, 65, 4] from Operation: 84/21=4
Current State: 100:[40, 65, 4], Operations: ['84/21=4']
Exploring Operation: 65-40=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 65-40=25
Current State: 100:[4, 25], Operations: ['84/21=4', '65-40=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
97,
70,
19,
99
] | 49
|
[
"97+70=167",
"19+99=118",
"167-118=49"
] |
Current State: 49:[97, 70, 19, 99], Operations: []
Exploring Operation: 97+70=167, Resulting Numbers: [19, 99, 167]
Generated Node #2: [19, 99, 167] from Operation: 97+70=167
Current State: 49:[19, 99, 167], Operations: ['97+70=167']
Exploring Operation: 19+99=118, Resulting Numbers: [167, 118]
Generated Node #3: [167, 118] from Operation: 19+99=118
Current State: 49:[167, 118], Operations: ['97+70=167', '19+99=118']
Exploring Operation: 167-118=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
55,
53,
40,
65
] | 90
|
[
"55-53=2",
"65*2=130",
"130-40=90"
] |
Current State: 90:[55, 53, 40, 65], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [40, 65, 2]
Generated Node #2: [40, 65, 2] from Operation: 55-53=2
Current State: 90:[40, 65, 2], Operations: ['55-53=2']
Exploring Operation: 65*2=130, Resulting Numbers: [40, 130]
Generated Node #3: [40, 130] from Operation: 65*2=130
Current State: 90:[40, 130], Operations: ['55-53=2', '65*2=130']
Exploring Operation: 130-40=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
61,
3,
33,
21
] | 31
|
[
"61+33=94",
"3*21=63",
"94-63=31"
] |
Current State: 31:[61, 3, 33, 21], Operations: []
Exploring Operation: 61+33=94, Resulting Numbers: [3, 21, 94]
Generated Node #2: [3, 21, 94] from Operation: 61+33=94
Current State: 31:[3, 21, 94], Operations: ['61+33=94']
Exploring Operation: 3*21=63, Resulting Numbers: [94, 63]
Generated Node #3: [94, 63] from Operation: 3*21=63
Current State: 31:[94, 63], Operations: ['61+33=94', '3*21=63']
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
87,
40,
17,
32
] | 96
|
[
"87-40=47",
"17+32=49",
"47+49=96"
] |
Current State: 96:[87, 40, 17, 32], Operations: []
Exploring Operation: 87-40=47, Resulting Numbers: [17, 32, 47]
Generated Node #2: [17, 32, 47] from Operation: 87-40=47
Current State: 96:[17, 32, 47], Operations: ['87-40=47']
Exploring Operation: 17+32=49, Resulting Numbers: [47, 49]
Generated Node #3: [47, 49] from Operation: 17+32=49
Current State: 96:[47, 49], Operations: ['87-40=47', '17+32=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
10,
79,
48,
70
] | 47
|
[
"79-10=69",
"70-48=22",
"69-22=47"
] |
Current State: 47:[10, 79, 48, 70], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [48, 70, 69]
Generated Node #2: [48, 70, 69] from Operation: 79-10=69
Current State: 47:[48, 70, 69], Operations: ['79-10=69']
Exploring Operation: 70-48=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 70-48=22
Current State: 47:[69, 22], Operations: ['79-10=69', '70-48=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
55,
98,
16,
99
] | 70
|
[
"55+98=153",
"99-16=83",
"153-83=70"
] |
Current State: 70:[55, 98, 16, 99], Operations: []
Exploring Operation: 55+98=153, Resulting Numbers: [16, 99, 153]
Generated Node #2: [16, 99, 153] from Operation: 55+98=153
Current State: 70:[16, 99, 153], Operations: ['55+98=153']
Exploring Operation: 99-16=83, Resulting Numbers: [153, 83]
Generated Node #3: [153, 83] from Operation: 99-16=83
Current State: 70:[153, 83], Operations: ['55+98=153', '99-16=83']
Exploring Operation: 153-83=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
80,
86,
60,
5
] | 58
|
[
"80+60=140",
"140/5=28",
"86-28=58"
] |
Current State: 58:[80, 86, 60, 5], Operations: []
Exploring Operation: 80+60=140, Resulting Numbers: [86, 5, 140]
Generated Node #2: [86, 5, 140] from Operation: 80+60=140
Current State: 58:[86, 5, 140], Operations: ['80+60=140']
Exploring Operation: 140/5=28, Resulting Numbers: [86, 28]
Generated Node #3: [86, 28] from Operation: 140/5=28
Current State: 58:[86, 28], Operations: ['80+60=140', '140/5=28']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
28,
75,
61,
88
] | 46
|
[
"28+75=103",
"61+88=149",
"149-103=46"
] |
Current State: 46:[28, 75, 61, 88], Operations: []
Exploring Operation: 28+75=103, Resulting Numbers: [61, 88, 103]
Generated Node #2: [61, 88, 103] from Operation: 28+75=103
Current State: 46:[61, 88, 103], Operations: ['28+75=103']
Exploring Operation: 61+88=149, Resulting Numbers: [103, 149]
Generated Node #3: [103, 149] from Operation: 61+88=149
Current State: 46:[103, 149], Operations: ['28+75=103', '61+88=149']
Exploring Operation: 149-103=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
64,
12,
18,
14
] | 100
|
[
"14-12=2",
"18*2=36",
"64+36=100"
] |
Current State: 100:[64, 12, 18, 14], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [64, 18, 2]
Generated Node #2: [64, 18, 2] from Operation: 14-12=2
Current State: 100:[64, 18, 2], Operations: ['14-12=2']
Exploring Operation: 18*2=36, Resulting Numbers: [64, 36]
Generated Node #3: [64, 36] from Operation: 18*2=36
Current State: 100:[64, 36], Operations: ['14-12=2', '18*2=36']
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
45,
95,
65,
58
] | 90
|
[
"58-45=13",
"65/13=5",
"95-5=90"
] |
Current State: 90:[45, 95, 65, 58], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [95, 65, 13]
Generated Node #2: [95, 65, 13] from Operation: 58-45=13
Current State: 90:[95, 65, 13], Operations: ['58-45=13']
Exploring Operation: 65/13=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 65/13=5
Current State: 90:[95, 5], Operations: ['58-45=13', '65/13=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
27,
36,
85,
25
] | 47
|
[
"27+36=63",
"85+25=110",
"110-63=47"
] |
Current State: 47:[27, 36, 85, 25], Operations: []
Exploring Operation: 27+36=63, Resulting Numbers: [85, 25, 63]
Generated Node #2: [85, 25, 63] from Operation: 27+36=63
Current State: 47:[85, 25, 63], Operations: ['27+36=63']
Exploring Operation: 85+25=110, Resulting Numbers: [63, 110]
Generated Node #3: [63, 110] from Operation: 85+25=110
Current State: 47:[63, 110], Operations: ['27+36=63', '85+25=110']
Exploring Operation: 110-63=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
84,
63,
7,
61
] | 86
|
[
"84-63=21",
"7*21=147",
"147-61=86"
] |
Current State: 86:[84, 63, 7, 61], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [7, 61, 21]
Generated Node #2: [7, 61, 21] from Operation: 84-63=21
Current State: 86:[7, 61, 21], Operations: ['84-63=21']
Exploring Operation: 7*21=147, Resulting Numbers: [61, 147]
Generated Node #3: [61, 147] from Operation: 7*21=147
Current State: 86:[61, 147], Operations: ['84-63=21', '7*21=147']
Exploring Operation: 147-61=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
92,
94,
28,
65
] | 79
|
[
"94-92=2",
"28/2=14",
"65+14=79"
] |
Current State: 79:[92, 94, 28, 65], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [28, 65, 2]
Generated Node #2: [28, 65, 2] from Operation: 94-92=2
Current State: 79:[28, 65, 2], Operations: ['94-92=2']
Exploring Operation: 28/2=14, Resulting Numbers: [65, 14]
Generated Node #3: [65, 14] from Operation: 28/2=14
Current State: 79:[65, 14], Operations: ['94-92=2', '28/2=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
65,
31,
72,
33
] | 71
|
[
"65-31=34",
"72+33=105",
"105-34=71"
] |
Current State: 71:[65, 31, 72, 33], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [72, 33, 34]
Generated Node #2: [72, 33, 34] from Operation: 65-31=34
Current State: 71:[72, 33, 34], Operations: ['65-31=34']
Exploring Operation: 72+33=105, Resulting Numbers: [34, 105]
Generated Node #3: [34, 105] from Operation: 72+33=105
Current State: 71:[34, 105], Operations: ['65-31=34', '72+33=105']
Exploring Operation: 105-34=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
90,
94,
13,
34
] | 17
|
[
"94-90=4",
"34-13=21",
"21-4=17"
] |
Current State: 17:[90, 94, 13, 34], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [13, 34, 4]
Generated Node #2: [13, 34, 4] from Operation: 94-90=4
Current State: 17:[13, 34, 4], Operations: ['94-90=4']
Exploring Operation: 34-13=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 34-13=21
Current State: 17:[4, 21], Operations: ['94-90=4', '34-13=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
39,
3,
96,
16
] | 99
|
[
"39/3=13",
"96+16=112",
"112-13=99"
] |
Current State: 99:[39, 3, 96, 16], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [96, 16, 13]
Generated Node #2: [96, 16, 13] from Operation: 39/3=13
Current State: 99:[96, 16, 13], Operations: ['39/3=13']
Exploring Operation: 96+16=112, Resulting Numbers: [13, 112]
Generated Node #3: [13, 112] from Operation: 96+16=112
Current State: 99:[13, 112], Operations: ['39/3=13', '96+16=112']
Exploring Operation: 112-13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
3,
14,
2,
89
] | 43
|
[
"89-2=87",
"87/3=29",
"14+29=43"
] |
Current State: 43:[3, 14, 2, 89], Operations: []
Exploring Operation: 89-2=87, Resulting Numbers: [3, 14, 87]
Generated Node #2: [3, 14, 87] from Operation: 89-2=87
Current State: 43:[3, 14, 87], Operations: ['89-2=87']
Exploring Operation: 87/3=29, Resulting Numbers: [14, 29]
Generated Node #3: [14, 29] from Operation: 87/3=29
Current State: 43:[14, 29], Operations: ['89-2=87', '87/3=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
15,
5,
99,
3
] | 33
|
[
"15+99=114",
"114/3=38",
"38-5=33"
] |
Current State: 33:[15, 5, 99, 3], Operations: []
Exploring Operation: 15+99=114, Resulting Numbers: [5, 3, 114]
Generated Node #2: [5, 3, 114] from Operation: 15+99=114
Current State: 33:[5, 3, 114], Operations: ['15+99=114']
Exploring Operation: 114/3=38, Resulting Numbers: [5, 38]
Generated Node #3: [5, 38] from Operation: 114/3=38
Current State: 33:[5, 38], Operations: ['15+99=114', '114/3=38']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
53,
93,
19,
95
] | 87
|
[
"95-93=2",
"53*2=106",
"106-19=87"
] |
Current State: 87:[53, 93, 19, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [53, 19, 2]
Generated Node #2: [53, 19, 2] from Operation: 95-93=2
Current State: 87:[53, 19, 2], Operations: ['95-93=2']
Exploring Operation: 53*2=106, Resulting Numbers: [19, 106]
Generated Node #3: [19, 106] from Operation: 53*2=106
Current State: 87:[19, 106], Operations: ['95-93=2', '53*2=106']
Exploring Operation: 106-19=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
42,
75,
80,
8
] | 29
|
[
"42+75=117",
"80+8=88",
"117-88=29"
] |
Current State: 29:[42, 75, 80, 8], Operations: []
Exploring Operation: 42+75=117, Resulting Numbers: [80, 8, 117]
Generated Node #2: [80, 8, 117] from Operation: 42+75=117
Current State: 29:[80, 8, 117], Operations: ['42+75=117']
Exploring Operation: 80+8=88, Resulting Numbers: [117, 88]
Generated Node #3: [117, 88] from Operation: 80+8=88
Current State: 29:[117, 88], Operations: ['42+75=117', '80+8=88']
Exploring Operation: 117-88=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
[
27,
66,
57,
99
] | 33
|
[
"27*66=1782",
"99+1782=1881",
"1881/57=33"
] |
Current State: 33:[27, 66, 57, 99], Operations: []
Exploring Operation: 27*66=1782, Resulting Numbers: [57, 99, 1782]
Generated Node #2: [57, 99, 1782] from Operation: 27*66=1782
Current State: 33:[57, 99, 1782], Operations: ['27*66=1782']
Exploring Operation: 99+1782=1881, Resulting Numbers: [57, 1881]
Generated Node #3: [57, 1881] from Operation: 99+1782=1881
Current State: 33:[57, 1881], Operations: ['27*66=1782', '99+1782=1881']
Exploring Operation: 1881/57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
71,
2,
84,
29
] | 32
|
[
"84-71=13",
"29-13=16",
"2*16=32"
] |
Current State: 32:[71, 2, 84, 29], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [2, 29, 13]
Generated Node #2: [2, 29, 13] from Operation: 84-71=13
Current State: 32:[2, 29, 13], Operations: ['84-71=13']
Exploring Operation: 29-13=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 29-13=16
Current State: 32:[2, 16], Operations: ['84-71=13', '29-13=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
70,
91,
84,
16
] | 93
|
[
"70+91=161",
"84-16=68",
"161-68=93"
] |
Current State: 93:[70, 91, 84, 16], Operations: []
Exploring Operation: 70+91=161, Resulting Numbers: [84, 16, 161]
Generated Node #2: [84, 16, 161] from Operation: 70+91=161
Current State: 93:[84, 16, 161], Operations: ['70+91=161']
Exploring Operation: 84-16=68, Resulting Numbers: [161, 68]
Generated Node #3: [161, 68] from Operation: 84-16=68
Current State: 93:[161, 68], Operations: ['70+91=161', '84-16=68']
Exploring Operation: 161-68=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
64,
4,
6,
35
] | 75
|
[
"64+35=99",
"4*6=24",
"99-24=75"
] |
Current State: 75:[64, 4, 6, 35], Operations: []
Exploring Operation: 64+35=99, Resulting Numbers: [4, 6, 99]
Generated Node #2: [4, 6, 99] from Operation: 64+35=99
Current State: 75:[4, 6, 99], Operations: ['64+35=99']
Exploring Operation: 4*6=24, Resulting Numbers: [99, 24]
Generated Node #3: [99, 24] from Operation: 4*6=24
Current State: 75:[99, 24], Operations: ['64+35=99', '4*6=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
7,
30,
27,
5
] | 69
|
[
"7+30=37",
"27+5=32",
"37+32=69"
] |
Current State: 69:[7, 30, 27, 5], Operations: []
Exploring Operation: 7+30=37, Resulting Numbers: [27, 5, 37]
Generated Node #2: [27, 5, 37] from Operation: 7+30=37
Current State: 69:[27, 5, 37], Operations: ['7+30=37']
Exploring Operation: 27+5=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 27+5=32
Current State: 69:[37, 32], Operations: ['7+30=37', '27+5=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
37,
9,
34,
11
] | 41
|
[
"37*9=333",
"34*11=374",
"374-333=41"
] |
Current State: 41:[37, 9, 34, 11], Operations: []
Exploring Operation: 37*9=333, Resulting Numbers: [34, 11, 333]
Generated Node #2: [34, 11, 333] from Operation: 37*9=333
Current State: 41:[34, 11, 333], Operations: ['37*9=333']
Exploring Operation: 34*11=374, Resulting Numbers: [333, 374]
Generated Node #3: [333, 374] from Operation: 34*11=374
Current State: 41:[333, 374], Operations: ['37*9=333', '34*11=374']
Exploring Operation: 374-333=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
48,
55,
8,
71
] | 96
|
[
"48/8=6",
"71-55=16",
"6*16=96"
] |
Current State: 96:[48, 55, 8, 71], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [55, 71, 6]
Generated Node #2: [55, 71, 6] from Operation: 48/8=6
Current State: 96:[55, 71, 6], Operations: ['48/8=6']
Exploring Operation: 71-55=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 71-55=16
Current State: 96:[6, 16], Operations: ['48/8=6', '71-55=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
52,
44,
97,
52
] | 97
|
[
"52-52=0",
"44*0=0",
"97+0=97"
] |
Current State: 97:[52, 44, 97, 52], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [44, 97, 0]
Generated Node #2: [44, 97, 0] from Operation: 52-52=0
Current State: 97:[44, 97, 0], Operations: ['52-52=0']
Exploring Operation: 44*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 44*0=0
Current State: 97:[97, 0], Operations: ['52-52=0', '44*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
76,
64,
74,
4
] | 58
|
[
"76-64=12",
"74-4=70",
"70-12=58"
] |
Current State: 58:[76, 64, 74, 4], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [74, 4, 12]
Generated Node #2: [74, 4, 12] from Operation: 76-64=12
Current State: 58:[74, 4, 12], Operations: ['76-64=12']
Exploring Operation: 74-4=70, Resulting Numbers: [12, 70]
Generated Node #3: [12, 70] from Operation: 74-4=70
Current State: 58:[12, 70], Operations: ['76-64=12', '74-4=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
90,
57,
39,
15
] | 24
|
[
"90/15=6",
"57-39=18",
"6+18=24"
] |
Current State: 24:[90, 57, 39, 15], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [57, 39, 6]
Generated Node #2: [57, 39, 6] from Operation: 90/15=6
Current State: 24:[57, 39, 6], Operations: ['90/15=6']
Exploring Operation: 57-39=18, Resulting Numbers: [6, 18]
Generated Node #3: [6, 18] from Operation: 57-39=18
Current State: 24:[6, 18], Operations: ['90/15=6', '57-39=18']
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
5,
81,
9,
4
] | 89
|
[
"81-5=76",
"9+4=13",
"76+13=89"
] |
Current State: 89:[5, 81, 9, 4], Operations: []
Exploring Operation: 81-5=76, Resulting Numbers: [9, 4, 76]
Generated Node #2: [9, 4, 76] from Operation: 81-5=76
Current State: 89:[9, 4, 76], Operations: ['81-5=76']
Exploring Operation: 9+4=13, Resulting Numbers: [76, 13]
Generated Node #3: [76, 13] from Operation: 9+4=13
Current State: 89:[76, 13], Operations: ['81-5=76', '9+4=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
22,
48,
1,
32
] | 34
|
[
"22*48=1056",
"1056/32=33",
"1+33=34"
] |
Current State: 34:[22, 48, 1, 32], Operations: []
Exploring Operation: 22*48=1056, Resulting Numbers: [1, 32, 1056]
Generated Node #2: [1, 32, 1056] from Operation: 22*48=1056
Current State: 34:[1, 32, 1056], Operations: ['22*48=1056']
Exploring Operation: 1056/32=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 1056/32=33
Current State: 34:[1, 33], Operations: ['22*48=1056', '1056/32=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
3,
29,
3,
80
] | 42
|
[
"3*3=9",
"80-29=51",
"51-9=42"
] |
Current State: 42:[3, 29, 3, 80], Operations: []
Exploring Operation: 3*3=9, Resulting Numbers: [29, 80, 9]
Generated Node #2: [29, 80, 9] from Operation: 3*3=9
Current State: 42:[29, 80, 9], Operations: ['3*3=9']
Exploring Operation: 80-29=51, Resulting Numbers: [9, 51]
Generated Node #3: [9, 51] from Operation: 80-29=51
Current State: 42:[9, 51], Operations: ['3*3=9', '80-29=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
35,
2,
38,
22
] | 97
|
[
"35+2=37",
"38+22=60",
"37+60=97"
] |
Current State: 97:[35, 2, 38, 22], Operations: []
Exploring Operation: 35+2=37, Resulting Numbers: [38, 22, 37]
Generated Node #2: [38, 22, 37] from Operation: 35+2=37
Current State: 97:[38, 22, 37], Operations: ['35+2=37']
Exploring Operation: 38+22=60, Resulting Numbers: [37, 60]
Generated Node #3: [37, 60] from Operation: 38+22=60
Current State: 97:[37, 60], Operations: ['35+2=37', '38+22=60']
Exploring Operation: 37+60=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
97,
40,
35,
6
] | 73
|
[
"97+40=137",
"35*6=210",
"210-137=73"
] |
Current State: 73:[97, 40, 35, 6], Operations: []
Exploring Operation: 97+40=137, Resulting Numbers: [35, 6, 137]
Generated Node #2: [35, 6, 137] from Operation: 97+40=137
Current State: 73:[35, 6, 137], Operations: ['97+40=137']
Exploring Operation: 35*6=210, Resulting Numbers: [137, 210]
Generated Node #3: [137, 210] from Operation: 35*6=210
Current State: 73:[137, 210], Operations: ['97+40=137', '35*6=210']
Exploring Operation: 210-137=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
85,
33,
40,
30
] | 18
|
[
"85-33=52",
"40+30=70",
"70-52=18"
] |
Current State: 18:[85, 33, 40, 30], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [40, 30, 52]
Generated Node #2: [40, 30, 52] from Operation: 85-33=52
Current State: 18:[40, 30, 52], Operations: ['85-33=52']
Exploring Operation: 40+30=70, Resulting Numbers: [52, 70]
Generated Node #3: [52, 70] from Operation: 40+30=70
Current State: 18:[52, 70], Operations: ['85-33=52', '40+30=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
84,
65,
16,
4
] | 83
|
[
"84-65=19",
"16*4=64",
"19+64=83"
] |
Current State: 83:[84, 65, 16, 4], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [16, 4, 19]
Generated Node #2: [16, 4, 19] from Operation: 84-65=19
Current State: 83:[16, 4, 19], Operations: ['84-65=19']
Exploring Operation: 16*4=64, Resulting Numbers: [19, 64]
Generated Node #3: [19, 64] from Operation: 16*4=64
Current State: 83:[19, 64], Operations: ['84-65=19', '16*4=64']
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
21,
7,
36,
54
] | 76
|
[
"21-7=14",
"36+54=90",
"90-14=76"
] |
Current State: 76:[21, 7, 36, 54], Operations: []
Exploring Operation: 21-7=14, Resulting Numbers: [36, 54, 14]
Generated Node #2: [36, 54, 14] from Operation: 21-7=14
Current State: 76:[36, 54, 14], Operations: ['21-7=14']
Exploring Operation: 36+54=90, Resulting Numbers: [14, 90]
Generated Node #3: [14, 90] from Operation: 36+54=90
Current State: 76:[14, 90], Operations: ['21-7=14', '36+54=90']
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
2,
3,
65,
28
] | 32
|
[
"2+3=5",
"65-28=37",
"37-5=32"
] |
Current State: 32:[2, 3, 65, 28], Operations: []
Exploring Operation: 2+3=5, Resulting Numbers: [65, 28, 5]
Generated Node #2: [65, 28, 5] from Operation: 2+3=5
Current State: 32:[65, 28, 5], Operations: ['2+3=5']
Exploring Operation: 65-28=37, Resulting Numbers: [5, 37]
Generated Node #3: [5, 37] from Operation: 65-28=37
Current State: 32:[5, 37], Operations: ['2+3=5', '65-28=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
94,
6,
31,
48
] | 21
|
[
"94+6=100",
"31+48=79",
"100-79=21"
] |
Current State: 21:[94, 6, 31, 48], Operations: []
Exploring Operation: 94+6=100, Resulting Numbers: [31, 48, 100]
Generated Node #2: [31, 48, 100] from Operation: 94+6=100
Current State: 21:[31, 48, 100], Operations: ['94+6=100']
Exploring Operation: 31+48=79, Resulting Numbers: [100, 79]
Generated Node #3: [100, 79] from Operation: 31+48=79
Current State: 21:[100, 79], Operations: ['94+6=100', '31+48=79']
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
18,
74,
69,
9
] | 81
|
[
"74-69=5",
"18*5=90",
"90-9=81"
] |
Current State: 81:[18, 74, 69, 9], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [18, 9, 5]
Generated Node #2: [18, 9, 5] from Operation: 74-69=5
Current State: 81:[18, 9, 5], Operations: ['74-69=5']
Exploring Operation: 18*5=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 18*5=90
Current State: 81:[9, 90], Operations: ['74-69=5', '18*5=90']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
7,
19,
36,
28
] | 25
|
[
"19-7=12",
"36/12=3",
"28-3=25"
] |
Current State: 25:[7, 19, 36, 28], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [36, 28, 12]
Generated Node #2: [36, 28, 12] from Operation: 19-7=12
Current State: 25:[36, 28, 12], Operations: ['19-7=12']
Exploring Operation: 36/12=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 36/12=3
Current State: 25:[28, 3], Operations: ['19-7=12', '36/12=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
82,
66,
97,
97
] | 46
|
[
"82+66=148",
"97+97=194",
"194-148=46"
] |
Current State: 46:[82, 66, 97, 97], Operations: []
Exploring Operation: 82+66=148, Resulting Numbers: [97, 97, 148]
Generated Node #2: [97, 97, 148] from Operation: 82+66=148
Current State: 46:[97, 97, 148], Operations: ['82+66=148']
Exploring Operation: 97+97=194, Resulting Numbers: [148, 194]
Generated Node #3: [148, 194] from Operation: 97+97=194
Current State: 46:[148, 194], Operations: ['82+66=148', '97+97=194']
Exploring Operation: 194-148=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
91,
34,
70,
63
] | 37
|
[
"91-70=21",
"63/21=3",
"34+3=37"
] |
Current State: 37:[91, 34, 70, 63], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [34, 63, 21]
Generated Node #2: [34, 63, 21] from Operation: 91-70=21
Current State: 37:[34, 63, 21], Operations: ['91-70=21']
Exploring Operation: 63/21=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 63/21=3
Current State: 37:[34, 3], Operations: ['91-70=21', '63/21=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
10,
38,
48,
30
] | 89
|
[
"30/10=3",
"38+48=86",
"3+86=89"
] |
Current State: 89:[10, 38, 48, 30], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [38, 48, 3]
Generated Node #2: [38, 48, 3] from Operation: 30/10=3
Current State: 89:[38, 48, 3], Operations: ['30/10=3']
Exploring Operation: 38+48=86, Resulting Numbers: [3, 86]
Generated Node #3: [3, 86] from Operation: 38+48=86
Current State: 89:[3, 86], Operations: ['30/10=3', '38+48=86']
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
11,
74,
66,
4
] | 72
|
[
"66/11=6",
"74+4=78",
"78-6=72"
] |
Current State: 72:[11, 74, 66, 4], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [74, 4, 6]
Generated Node #2: [74, 4, 6] from Operation: 66/11=6
Current State: 72:[74, 4, 6], Operations: ['66/11=6']
Exploring Operation: 74+4=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 74+4=78
Current State: 72:[6, 78], Operations: ['66/11=6', '74+4=78']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
25,
67,
37,
26
] | 31
|
[
"67-25=42",
"37-26=11",
"42-11=31"
] |
Current State: 31:[25, 67, 37, 26], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [37, 26, 42]
Generated Node #2: [37, 26, 42] from Operation: 67-25=42
Current State: 31:[37, 26, 42], Operations: ['67-25=42']
Exploring Operation: 37-26=11, Resulting Numbers: [42, 11]
Generated Node #3: [42, 11] from Operation: 37-26=11
Current State: 31:[42, 11], Operations: ['67-25=42', '37-26=11']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
47,
71,
13,
5
] | 67
|
[
"47+5=52",
"52/13=4",
"71-4=67"
] |
Current State: 67:[47, 71, 13, 5], Operations: []
Exploring Operation: 47+5=52, Resulting Numbers: [71, 13, 52]
Generated Node #2: [71, 13, 52] from Operation: 47+5=52
Current State: 67:[71, 13, 52], Operations: ['47+5=52']
Exploring Operation: 52/13=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 52/13=4
Current State: 67:[71, 4], Operations: ['47+5=52', '52/13=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
56,
41,
24,
67
] | 72
|
[
"56+67=123",
"123/41=3",
"24*3=72"
] |
Current State: 72:[56, 41, 24, 67], Operations: []
Exploring Operation: 56+67=123, Resulting Numbers: [41, 24, 123]
Generated Node #2: [41, 24, 123] from Operation: 56+67=123
Current State: 72:[41, 24, 123], Operations: ['56+67=123']
Exploring Operation: 123/41=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 123/41=3
Current State: 72:[24, 3], Operations: ['56+67=123', '123/41=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
1,
25,
30,
55
] | 61
|
[
"25-1=24",
"30+55=85",
"85-24=61"
] |
Current State: 61:[1, 25, 30, 55], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [30, 55, 24]
Generated Node #2: [30, 55, 24] from Operation: 25-1=24
Current State: 61:[30, 55, 24], Operations: ['25-1=24']
Exploring Operation: 30+55=85, Resulting Numbers: [24, 85]
Generated Node #3: [24, 85] from Operation: 30+55=85
Current State: 61:[24, 85], Operations: ['25-1=24', '30+55=85']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
63,
12,
18,
1
] | 93
|
[
"63+12=75",
"18*1=18",
"75+18=93"
] |
Current State: 93:[63, 12, 18, 1], Operations: []
Exploring Operation: 63+12=75, Resulting Numbers: [18, 1, 75]
Generated Node #2: [18, 1, 75] from Operation: 63+12=75
Current State: 93:[18, 1, 75], Operations: ['63+12=75']
Exploring Operation: 18*1=18, Resulting Numbers: [75, 18]
Generated Node #3: [75, 18] from Operation: 18*1=18
Current State: 93:[75, 18], Operations: ['63+12=75', '18*1=18']
Exploring Operation: 75+18=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
89,
47,
49,
90
] | 95
|
[
"89+47=136",
"90-49=41",
"136-41=95"
] |
Current State: 95:[89, 47, 49, 90], Operations: []
Exploring Operation: 89+47=136, Resulting Numbers: [49, 90, 136]
Generated Node #2: [49, 90, 136] from Operation: 89+47=136
Current State: 95:[49, 90, 136], Operations: ['89+47=136']
Exploring Operation: 90-49=41, Resulting Numbers: [136, 41]
Generated Node #3: [136, 41] from Operation: 90-49=41
Current State: 95:[136, 41], Operations: ['89+47=136', '90-49=41']
Exploring Operation: 136-41=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
[
90,
38,
13,
93
] | 75
|
[
"93-90=3",
"38-13=25",
"3*25=75"
] |
Current State: 75:[90, 38, 13, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [38, 13, 3]
Generated Node #2: [38, 13, 3] from Operation: 93-90=3
Current State: 75:[38, 13, 3], Operations: ['93-90=3']
Exploring Operation: 38-13=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 38-13=25
Current State: 75:[3, 25], Operations: ['93-90=3', '38-13=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
47,
46,
50,
41
] | 24
|
[
"47-41=6",
"50-46=4",
"6*4=24"
] |
Current State: 24:[47, 46, 50, 41], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [46, 50, 6]
Generated Node #2: [46, 50, 6] from Operation: 47-41=6
Current State: 24:[46, 50, 6], Operations: ['47-41=6']
Exploring Operation: 50-46=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 50-46=4
Current State: 24:[6, 4], Operations: ['47-41=6', '50-46=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
33,
99,
97,
30
] | 70
|
[
"99/33=3",
"97-30=67",
"3+67=70"
] |
Current State: 70:[33, 99, 97, 30], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [97, 30, 3]
Generated Node #2: [97, 30, 3] from Operation: 99/33=3
Current State: 70:[97, 30, 3], Operations: ['99/33=3']
Exploring Operation: 97-30=67, Resulting Numbers: [3, 67]
Generated Node #3: [3, 67] from Operation: 97-30=67
Current State: 70:[3, 67], Operations: ['99/33=3', '97-30=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
36,
37,
4,
59
] | 63
|
[
"37-36=1",
"4+59=63",
"1*63=63"
] |
Current State: 63:[36, 37, 4, 59], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [4, 59, 1]
Generated Node #2: [4, 59, 1] from Operation: 37-36=1
Current State: 63:[4, 59, 1], Operations: ['37-36=1']
Exploring Operation: 4+59=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 4+59=63
Current State: 63:[1, 63], Operations: ['37-36=1', '4+59=63']
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
4,
41,
34,
39
] | 50
|
[
"4+41=45",
"39-34=5",
"45+5=50"
] |
Current State: 50:[4, 41, 34, 39], Operations: []
Exploring Operation: 4+41=45, Resulting Numbers: [34, 39, 45]
Generated Node #2: [34, 39, 45] from Operation: 4+41=45
Current State: 50:[34, 39, 45], Operations: ['4+41=45']
Exploring Operation: 39-34=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 39-34=5
Current State: 50:[45, 5], Operations: ['4+41=45', '39-34=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
76,
14,
24,
22
] | 45
|
[
"76+14=90",
"24-22=2",
"90/2=45"
] |
Current State: 45:[76, 14, 24, 22], Operations: []
Exploring Operation: 76+14=90, Resulting Numbers: [24, 22, 90]
Generated Node #2: [24, 22, 90] from Operation: 76+14=90
Current State: 45:[24, 22, 90], Operations: ['76+14=90']
Exploring Operation: 24-22=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 24-22=2
Current State: 45:[90, 2], Operations: ['76+14=90', '24-22=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
26,
7,
88,
96
] | 98
|
[
"96-26=70",
"70/7=10",
"88+10=98"
] |
Current State: 98:[26, 7, 88, 96], Operations: []
Exploring Operation: 96-26=70, Resulting Numbers: [7, 88, 70]
Generated Node #2: [7, 88, 70] from Operation: 96-26=70
Current State: 98:[7, 88, 70], Operations: ['96-26=70']
Exploring Operation: 70/7=10, Resulting Numbers: [88, 10]
Generated Node #3: [88, 10] from Operation: 70/7=10
Current State: 98:[88, 10], Operations: ['96-26=70', '70/7=10']
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
55,
35,
95,
53
] | 66
|
[
"95-53=42",
"55*42=2310",
"2310/35=66"
] |
Current State: 66:[55, 35, 95, 53], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [55, 35, 42]
Generated Node #2: [55, 35, 42] from Operation: 95-53=42
Current State: 66:[55, 35, 42], Operations: ['95-53=42']
Exploring Operation: 55*42=2310, Resulting Numbers: [35, 2310]
Generated Node #3: [35, 2310] from Operation: 55*42=2310
Current State: 66:[35, 2310], Operations: ['95-53=42', '55*42=2310']
Exploring Operation: 2310/35=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
77,
73,
4,
82
] | 53
|
[
"82-77=5",
"4*5=20",
"73-20=53"
] |
Current State: 53:[77, 73, 4, 82], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [73, 4, 5]
Generated Node #2: [73, 4, 5] from Operation: 82-77=5
Current State: 53:[73, 4, 5], Operations: ['82-77=5']
Exploring Operation: 4*5=20, Resulting Numbers: [73, 20]
Generated Node #3: [73, 20] from Operation: 4*5=20
Current State: 53:[73, 20], Operations: ['82-77=5', '4*5=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
9,
39,
69,
57
] | 55
|
[
"9+69=78",
"78/39=2",
"57-2=55"
] |
Current State: 55:[9, 39, 69, 57], Operations: []
Exploring Operation: 9+69=78, Resulting Numbers: [39, 57, 78]
Generated Node #2: [39, 57, 78] from Operation: 9+69=78
Current State: 55:[39, 57, 78], Operations: ['9+69=78']
Exploring Operation: 78/39=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 78/39=2
Current State: 55:[57, 2], Operations: ['9+69=78', '78/39=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
68,
57,
63,
90
] | 53
|
[
"63-57=6",
"90/6=15",
"68-15=53"
] |
Current State: 53:[68, 57, 63, 90], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [68, 90, 6]
Generated Node #2: [68, 90, 6] from Operation: 63-57=6
Current State: 53:[68, 90, 6], Operations: ['63-57=6']
Exploring Operation: 90/6=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 90/6=15
Current State: 53:[68, 15], Operations: ['63-57=6', '90/6=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
13,
75,
8,
56
] | 85
|
[
"13*8=104",
"75-56=19",
"104-19=85"
] |
Current State: 85:[13, 75, 8, 56], Operations: []
Exploring Operation: 13*8=104, Resulting Numbers: [75, 56, 104]
Generated Node #2: [75, 56, 104] from Operation: 13*8=104
Current State: 85:[75, 56, 104], Operations: ['13*8=104']
Exploring Operation: 75-56=19, Resulting Numbers: [104, 19]
Generated Node #3: [104, 19] from Operation: 75-56=19
Current State: 85:[104, 19], Operations: ['13*8=104', '75-56=19']
Exploring Operation: 104-19=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
18,
30,
42,
92
] | 46
|
[
"18+42=60",
"30*92=2760",
"2760/60=46"
] |
Current State: 46:[18, 30, 42, 92], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [30, 92, 60]
Generated Node #2: [30, 92, 60] from Operation: 18+42=60
Current State: 46:[30, 92, 60], Operations: ['18+42=60']
Exploring Operation: 30*92=2760, Resulting Numbers: [60, 2760]
Generated Node #3: [60, 2760] from Operation: 30*92=2760
Current State: 46:[60, 2760], Operations: ['18+42=60', '30*92=2760']
Exploring Operation: 2760/60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
11,
55,
28,
19
] | 75
|
[
"11+55=66",
"28-19=9",
"66+9=75"
] |
Current State: 75:[11, 55, 28, 19], Operations: []
Exploring Operation: 11+55=66, Resulting Numbers: [28, 19, 66]
Generated Node #2: [28, 19, 66] from Operation: 11+55=66
Current State: 75:[28, 19, 66], Operations: ['11+55=66']
Exploring Operation: 28-19=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 28-19=9
Current State: 75:[66, 9], Operations: ['11+55=66', '28-19=9']
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
58,
62,
70,
72
] | 60
|
[
"58+62=120",
"72-70=2",
"120/2=60"
] |
Current State: 60:[58, 62, 70, 72], Operations: []
Exploring Operation: 58+62=120, Resulting Numbers: [70, 72, 120]
Generated Node #2: [70, 72, 120] from Operation: 58+62=120
Current State: 60:[70, 72, 120], Operations: ['58+62=120']
Exploring Operation: 72-70=2, Resulting Numbers: [120, 2]
Generated Node #3: [120, 2] from Operation: 72-70=2
Current State: 60:[120, 2], Operations: ['58+62=120', '72-70=2']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
26,
65,
57,
15
] | 49
|
[
"26+65=91",
"57-15=42",
"91-42=49"
] |
Current State: 49:[26, 65, 57, 15], Operations: []
Exploring Operation: 26+65=91, Resulting Numbers: [57, 15, 91]
Generated Node #2: [57, 15, 91] from Operation: 26+65=91
Current State: 49:[57, 15, 91], Operations: ['26+65=91']
Exploring Operation: 57-15=42, Resulting Numbers: [91, 42]
Generated Node #3: [91, 42] from Operation: 57-15=42
Current State: 49:[91, 42], Operations: ['26+65=91', '57-15=42']
Exploring Operation: 91-42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
80,
5,
90,
40
] | 80
|
[
"80*5=400",
"400/40=10",
"90-10=80"
] |
Current State: 80:[80, 5, 90, 40], Operations: []
Exploring Operation: 80*5=400, Resulting Numbers: [90, 40, 400]
Generated Node #2: [90, 40, 400] from Operation: 80*5=400
Current State: 80:[90, 40, 400], Operations: ['80*5=400']
Exploring Operation: 400/40=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 400/40=10
Current State: 80:[90, 10], Operations: ['80*5=400', '400/40=10']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
9,
15,
7,
4
] | 19
|
[
"9+7=16",
"16/4=4",
"15+4=19"
] |
Current State: 19:[9, 15, 7, 4], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [15, 4, 16]
Generated Node #2: [15, 4, 16] from Operation: 9+7=16
Current State: 19:[15, 4, 16], Operations: ['9+7=16']
Exploring Operation: 16/4=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 16/4=4
Current State: 19:[15, 4], Operations: ['9+7=16', '16/4=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
45,
24,
83,
9
] | 86
|
[
"24-9=15",
"45/15=3",
"83+3=86"
] |
Current State: 86:[45, 24, 83, 9], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [45, 83, 15]
Generated Node #2: [45, 83, 15] from Operation: 24-9=15
Current State: 86:[45, 83, 15], Operations: ['24-9=15']
Exploring Operation: 45/15=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 45/15=3
Current State: 86:[83, 3], Operations: ['24-9=15', '45/15=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
44,
82,
84,
6
] | 45
|
[
"44*84=3696",
"3696-6=3690",
"3690/82=45"
] |
Current State: 45:[44, 82, 84, 6], Operations: []
Exploring Operation: 44*84=3696, Resulting Numbers: [82, 6, 3696]
Generated Node #2: [82, 6, 3696] from Operation: 44*84=3696
Current State: 45:[82, 6, 3696], Operations: ['44*84=3696']
Exploring Operation: 3696-6=3690, Resulting Numbers: [82, 3690]
Generated Node #3: [82, 3690] from Operation: 3696-6=3690
Current State: 45:[82, 3690], Operations: ['44*84=3696', '3696-6=3690']
Exploring Operation: 3690/82=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
29,
61,
3,
2
] | 45
|
[
"29+3=32",
"32/2=16",
"61-16=45"
] |
Current State: 45:[29, 61, 3, 2], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [61, 2, 32]
Generated Node #2: [61, 2, 32] from Operation: 29+3=32
Current State: 45:[61, 2, 32], Operations: ['29+3=32']
Exploring Operation: 32/2=16, Resulting Numbers: [61, 16]
Generated Node #3: [61, 16] from Operation: 32/2=16
Current State: 45:[61, 16], Operations: ['29+3=32', '32/2=16']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
67,
12,
24,
89
] | 24
|
[
"67+24=91",
"91-89=2",
"12*2=24"
] |
Current State: 24:[67, 12, 24, 89], Operations: []
Exploring Operation: 67+24=91, Resulting Numbers: [12, 89, 91]
Generated Node #2: [12, 89, 91] from Operation: 67+24=91
Current State: 24:[12, 89, 91], Operations: ['67+24=91']
Exploring Operation: 91-89=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 91-89=2
Current State: 24:[12, 2], Operations: ['67+24=91', '91-89=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
10,
43,
95,
54
] | 94
|
[
"10+43=53",
"95-54=41",
"53+41=94"
] |
Current State: 94:[10, 43, 95, 54], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [95, 54, 53]
Generated Node #2: [95, 54, 53] from Operation: 10+43=53
Current State: 94:[95, 54, 53], Operations: ['10+43=53']
Exploring Operation: 95-54=41, Resulting Numbers: [53, 41]
Generated Node #3: [53, 41] from Operation: 95-54=41
Current State: 94:[53, 41], Operations: ['10+43=53', '95-54=41']
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
50,
35,
33,
71
] | 96
|
[
"35-33=2",
"50/2=25",
"71+25=96"
] |
Current State: 96:[50, 35, 33, 71], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [50, 71, 2]
Generated Node #2: [50, 71, 2] from Operation: 35-33=2
Current State: 96:[50, 71, 2], Operations: ['35-33=2']
Exploring Operation: 50/2=25, Resulting Numbers: [71, 25]
Generated Node #3: [71, 25] from Operation: 50/2=25
Current State: 96:[71, 25], Operations: ['35-33=2', '50/2=25']
Exploring Operation: 71+25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
87,
5,
20,
37
] | 54
|
[
"87-37=50",
"20/5=4",
"50+4=54"
] |
Current State: 54:[87, 5, 20, 37], Operations: []
Exploring Operation: 87-37=50, Resulting Numbers: [5, 20, 50]
Generated Node #2: [5, 20, 50] from Operation: 87-37=50
Current State: 54:[5, 20, 50], Operations: ['87-37=50']
Exploring Operation: 20/5=4, Resulting Numbers: [50, 4]
Generated Node #3: [50, 4] from Operation: 20/5=4
Current State: 54:[50, 4], Operations: ['87-37=50', '20/5=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
4,
9,
10,
5
] | 31
|
[
"4*9=36",
"10-5=5",
"36-5=31"
] |
Current State: 31:[4, 9, 10, 5], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [10, 5, 36]
Generated Node #2: [10, 5, 36] from Operation: 4*9=36
Current State: 31:[10, 5, 36], Operations: ['4*9=36']
Exploring Operation: 10-5=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 10-5=5
Current State: 31:[36, 5], Operations: ['4*9=36', '10-5=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
94,
38,
3,
11
] | 99
|
[
"94+38=132",
"3*11=33",
"132-33=99"
] |
Current State: 99:[94, 38, 3, 11], Operations: []
Exploring Operation: 94+38=132, Resulting Numbers: [3, 11, 132]
Generated Node #2: [3, 11, 132] from Operation: 94+38=132
Current State: 99:[3, 11, 132], Operations: ['94+38=132']
Exploring Operation: 3*11=33, Resulting Numbers: [132, 33]
Generated Node #3: [132, 33] from Operation: 3*11=33
Current State: 99:[132, 33], Operations: ['94+38=132', '3*11=33']
Exploring Operation: 132-33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
57,
55,
10,
63
] | 83
|
[
"57-55=2",
"10*2=20",
"63+20=83"
] |
Current State: 83:[57, 55, 10, 63], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [10, 63, 2]
Generated Node #2: [10, 63, 2] from Operation: 57-55=2
Current State: 83:[10, 63, 2], Operations: ['57-55=2']
Exploring Operation: 10*2=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 10*2=20
Current State: 83:[63, 20], Operations: ['57-55=2', '10*2=20']
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
1,
16,
41,
32
] | 81
|
[
"32/16=2",
"41*2=82",
"82-1=81"
] |
Current State: 81:[1, 16, 41, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [1, 41, 2]
Generated Node #2: [1, 41, 2] from Operation: 32/16=2
Current State: 81:[1, 41, 2], Operations: ['32/16=2']
Exploring Operation: 41*2=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 41*2=82
Current State: 81:[1, 82], Operations: ['32/16=2', '41*2=82']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
36,
34,
78,
76
] | 80
|
[
"36-34=2",
"78*2=156",
"156-76=80"
] |
Current State: 80:[36, 34, 78, 76], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [78, 76, 2]
Generated Node #2: [78, 76, 2] from Operation: 36-34=2
Current State: 80:[78, 76, 2], Operations: ['36-34=2']
Exploring Operation: 78*2=156, Resulting Numbers: [76, 156]
Generated Node #3: [76, 156] from Operation: 78*2=156
Current State: 80:[76, 156], Operations: ['36-34=2', '78*2=156']
Exploring Operation: 156-76=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
35,
5,
85,
40
] | 11
|
[
"5*85=425",
"425-40=385",
"385/35=11"
] |
Current State: 11:[35, 5, 85, 40], Operations: []
Exploring Operation: 5*85=425, Resulting Numbers: [35, 40, 425]
Generated Node #2: [35, 40, 425] from Operation: 5*85=425
Current State: 11:[35, 40, 425], Operations: ['5*85=425']
Exploring Operation: 425-40=385, Resulting Numbers: [35, 385]
Generated Node #3: [35, 385] from Operation: 425-40=385
Current State: 11:[35, 385], Operations: ['5*85=425', '425-40=385']
Exploring Operation: 385/35=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
65,
17,
91,
34
] | 43
|
[
"65+17=82",
"91+34=125",
"125-82=43"
] |
Current State: 43:[65, 17, 91, 34], Operations: []
Exploring Operation: 65+17=82, Resulting Numbers: [91, 34, 82]
Generated Node #2: [91, 34, 82] from Operation: 65+17=82
Current State: 43:[91, 34, 82], Operations: ['65+17=82']
Exploring Operation: 91+34=125, Resulting Numbers: [82, 125]
Generated Node #3: [82, 125] from Operation: 91+34=125
Current State: 43:[82, 125], Operations: ['65+17=82', '91+34=125']
Exploring Operation: 125-82=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
8,
91,
4,
77
] | 16
|
[
"8/4=2",
"91-77=14",
"2+14=16"
] |
Current State: 16:[8, 91, 4, 77], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [91, 77, 2]
Generated Node #2: [91, 77, 2] from Operation: 8/4=2
Current State: 16:[91, 77, 2], Operations: ['8/4=2']
Exploring Operation: 91-77=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 91-77=14
Current State: 16:[2, 14], Operations: ['8/4=2', '91-77=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
82,
83,
25,
39
] | 13
|
[
"83-82=1",
"39-25=14",
"14-1=13"
] |
Current State: 13:[82, 83, 25, 39], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [25, 39, 1]
Generated Node #2: [25, 39, 1] from Operation: 83-82=1
Current State: 13:[25, 39, 1], Operations: ['83-82=1']
Exploring Operation: 39-25=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 39-25=14
Current State: 13:[1, 14], Operations: ['83-82=1', '39-25=14']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
17,
51,
63,
39
] | 50
|
[
"51/17=3",
"39/3=13",
"63-13=50"
] |
Current State: 50:[17, 51, 63, 39], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [63, 39, 3]
Generated Node #2: [63, 39, 3] from Operation: 51/17=3
Current State: 50:[63, 39, 3], Operations: ['51/17=3']
Exploring Operation: 39/3=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 39/3=13
Current State: 50:[63, 13], Operations: ['51/17=3', '39/3=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
51,
95,
22,
68
] | 19
|
[
"51+22=73",
"73-68=5",
"95/5=19"
] |
Current State: 19:[51, 95, 22, 68], Operations: []
Exploring Operation: 51+22=73, Resulting Numbers: [95, 68, 73]
Generated Node #2: [95, 68, 73] from Operation: 51+22=73
Current State: 19:[95, 68, 73], Operations: ['51+22=73']
Exploring Operation: 73-68=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 73-68=5
Current State: 19:[95, 5], Operations: ['51+22=73', '73-68=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
56,
36,
24,
20
] | 26
|
[
"36*20=720",
"720/24=30",
"56-30=26"
] |
Current State: 26:[56, 36, 24, 20], Operations: []
Exploring Operation: 36*20=720, Resulting Numbers: [56, 24, 720]
Generated Node #2: [56, 24, 720] from Operation: 36*20=720
Current State: 26:[56, 24, 720], Operations: ['36*20=720']
Exploring Operation: 720/24=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 720/24=30
Current State: 26:[56, 30], Operations: ['36*20=720', '720/24=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
2,
36,
70,
44
] | 74
|
[
"44-36=8",
"8/2=4",
"70+4=74"
] |
Current State: 74:[2, 36, 70, 44], Operations: []
Exploring Operation: 44-36=8, Resulting Numbers: [2, 70, 8]
Generated Node #2: [2, 70, 8] from Operation: 44-36=8
Current State: 74:[2, 70, 8], Operations: ['44-36=8']
Exploring Operation: 8/2=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 8/2=4
Current State: 74:[70, 4], Operations: ['44-36=8', '8/2=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
78,
78,
86,
21
] | 86
|
[
"78-78=0",
"21*0=0",
"86+0=86"
] |
Current State: 86:[78, 78, 86, 21], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [86, 21, 0]
Generated Node #2: [86, 21, 0] from Operation: 78-78=0
Current State: 86:[86, 21, 0], Operations: ['78-78=0']
Exploring Operation: 21*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 21*0=0
Current State: 86:[86, 0], Operations: ['78-78=0', '21*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
78,
6,
40,
9
] | 62
|
[
"78/6=13",
"40+9=49",
"13+49=62"
] |
Current State: 62:[78, 6, 40, 9], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [40, 9, 13]
Generated Node #2: [40, 9, 13] from Operation: 78/6=13
Current State: 62:[40, 9, 13], Operations: ['78/6=13']
Exploring Operation: 40+9=49, Resulting Numbers: [13, 49]
Generated Node #3: [13, 49] from Operation: 40+9=49
Current State: 62:[13, 49], Operations: ['78/6=13', '40+9=49']
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
58,
66,
41,
2
] | 33
|
[
"58+41=99",
"66*2=132",
"132-99=33"
] |
Current State: 33:[58, 66, 41, 2], Operations: []
Exploring Operation: 58+41=99, Resulting Numbers: [66, 2, 99]
Generated Node #2: [66, 2, 99] from Operation: 58+41=99
Current State: 33:[66, 2, 99], Operations: ['58+41=99']
Exploring Operation: 66*2=132, Resulting Numbers: [99, 132]
Generated Node #3: [99, 132] from Operation: 66*2=132
Current State: 33:[99, 132], Operations: ['58+41=99', '66*2=132']
Exploring Operation: 132-99=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
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