nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
80,
14,
69,
53
] | 70
|
[
"80*14=1120",
"69-53=16",
"1120/16=70"
] |
Current State: 70:[80, 14, 69, 53], Operations: []
Exploring Operation: 80*14=1120, Resulting Numbers: [69, 53, 1120]
Generated Node #2: [69, 53, 1120] from Operation: 80*14=1120
Current State: 70:[69, 53, 1120], Operations: ['80*14=1120']
Exploring Operation: 69-53=16, Resulting Numbers: [1120, 16]
Generated Node #3: [1120, 16] from Operation: 69-53=16
Current State: 70:[1120, 16], Operations: ['80*14=1120', '69-53=16']
Exploring Operation: 1120/16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
49,
78,
4,
12
] | 13
|
[
"78-49=29",
"4+12=16",
"29-16=13"
] |
Current State: 13:[49, 78, 4, 12], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [4, 12, 29]
Generated Node #2: [4, 12, 29] from Operation: 78-49=29
Current State: 13:[4, 12, 29], Operations: ['78-49=29']
Exploring Operation: 4+12=16, Resulting Numbers: [29, 16]
Generated Node #3: [29, 16] from Operation: 4+12=16
Current State: 13:[29, 16], Operations: ['78-49=29', '4+12=16']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
29,
79,
26,
65
] | 41
|
[
"79-29=50",
"26+65=91",
"91-50=41"
] |
Current State: 41:[29, 79, 26, 65], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [26, 65, 50]
Generated Node #2: [26, 65, 50] from Operation: 79-29=50
Current State: 41:[26, 65, 50], Operations: ['79-29=50']
Exploring Operation: 26+65=91, Resulting Numbers: [50, 91]
Generated Node #3: [50, 91] from Operation: 26+65=91
Current State: 41:[50, 91], Operations: ['79-29=50', '26+65=91']
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
30,
36,
30,
27
] | 64
|
[
"30/30=1",
"36+27=63",
"1+63=64"
] |
Current State: 64:[30, 36, 30, 27], Operations: []
Exploring Operation: 30/30=1, Resulting Numbers: [36, 27, 1]
Generated Node #2: [36, 27, 1] from Operation: 30/30=1
Current State: 64:[36, 27, 1], Operations: ['30/30=1']
Exploring Operation: 36+27=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 36+27=63
Current State: 64:[1, 63], Operations: ['30/30=1', '36+27=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
3,
8,
93,
31
] | 14
|
[
"3+8=11",
"93/31=3",
"11+3=14"
] |
Current State: 14:[3, 8, 93, 31], Operations: []
Exploring Operation: 3+8=11, Resulting Numbers: [93, 31, 11]
Generated Node #2: [93, 31, 11] from Operation: 3+8=11
Current State: 14:[93, 31, 11], Operations: ['3+8=11']
Exploring Operation: 93/31=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 93/31=3
Current State: 14:[11, 3], Operations: ['3+8=11', '93/31=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
99,
58,
54,
28
] | 67
|
[
"99-58=41",
"54-28=26",
"41+26=67"
] |
Current State: 67:[99, 58, 54, 28], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [54, 28, 41]
Generated Node #2: [54, 28, 41] from Operation: 99-58=41
Current State: 67:[54, 28, 41], Operations: ['99-58=41']
Exploring Operation: 54-28=26, Resulting Numbers: [41, 26]
Generated Node #3: [41, 26] from Operation: 54-28=26
Current State: 67:[41, 26], Operations: ['99-58=41', '54-28=26']
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
74,
90,
88,
35
] | 63
|
[
"74+88=162",
"35*162=5670",
"5670/90=63"
] |
Current State: 63:[74, 90, 88, 35], Operations: []
Exploring Operation: 74+88=162, Resulting Numbers: [90, 35, 162]
Generated Node #2: [90, 35, 162] from Operation: 74+88=162
Current State: 63:[90, 35, 162], Operations: ['74+88=162']
Exploring Operation: 35*162=5670, Resulting Numbers: [90, 5670]
Generated Node #3: [90, 5670] from Operation: 35*162=5670
Current State: 63:[90, 5670], Operations: ['74+88=162', '35*162=5670']
Exploring Operation: 5670/90=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
6,
2,
13,
23
] | 57
|
[
"6*13=78",
"23-2=21",
"78-21=57"
] |
Current State: 57:[6, 2, 13, 23], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [2, 23, 78]
Generated Node #2: [2, 23, 78] from Operation: 6*13=78
Current State: 57:[2, 23, 78], Operations: ['6*13=78']
Exploring Operation: 23-2=21, Resulting Numbers: [78, 21]
Generated Node #3: [78, 21] from Operation: 23-2=21
Current State: 57:[78, 21], Operations: ['6*13=78', '23-2=21']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
27,
98,
5,
47
] | 72
|
[
"27+98=125",
"125/5=25",
"47+25=72"
] |
Current State: 72:[27, 98, 5, 47], Operations: []
Exploring Operation: 27+98=125, Resulting Numbers: [5, 47, 125]
Generated Node #2: [5, 47, 125] from Operation: 27+98=125
Current State: 72:[5, 47, 125], Operations: ['27+98=125']
Exploring Operation: 125/5=25, Resulting Numbers: [47, 25]
Generated Node #3: [47, 25] from Operation: 125/5=25
Current State: 72:[47, 25], Operations: ['27+98=125', '125/5=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
73,
25,
97,
39
] | 38
|
[
"73+25=98",
"97+39=136",
"136-98=38"
] |
Current State: 38:[73, 25, 97, 39], Operations: []
Exploring Operation: 73+25=98, Resulting Numbers: [97, 39, 98]
Generated Node #2: [97, 39, 98] from Operation: 73+25=98
Current State: 38:[97, 39, 98], Operations: ['73+25=98']
Exploring Operation: 97+39=136, Resulting Numbers: [98, 136]
Generated Node #3: [98, 136] from Operation: 97+39=136
Current State: 38:[98, 136], Operations: ['73+25=98', '97+39=136']
Exploring Operation: 136-98=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
79,
13,
72,
30
] | 50
|
[
"79+13=92",
"72-30=42",
"92-42=50"
] |
Current State: 50:[79, 13, 72, 30], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [72, 30, 92]
Generated Node #2: [72, 30, 92] from Operation: 79+13=92
Current State: 50:[72, 30, 92], Operations: ['79+13=92']
Exploring Operation: 72-30=42, Resulting Numbers: [92, 42]
Generated Node #3: [92, 42] from Operation: 72-30=42
Current State: 50:[92, 42], Operations: ['79+13=92', '72-30=42']
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
24,
93,
18,
32
] | 19
|
[
"93-24=69",
"18+32=50",
"69-50=19"
] |
Current State: 19:[24, 93, 18, 32], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [18, 32, 69]
Generated Node #2: [18, 32, 69] from Operation: 93-24=69
Current State: 19:[18, 32, 69], Operations: ['93-24=69']
Exploring Operation: 18+32=50, Resulting Numbers: [69, 50]
Generated Node #3: [69, 50] from Operation: 18+32=50
Current State: 19:[69, 50], Operations: ['93-24=69', '18+32=50']
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
15,
77,
66,
55
] | 17
|
[
"77+55=132",
"132/66=2",
"15+2=17"
] |
Current State: 17:[15, 77, 66, 55], Operations: []
Exploring Operation: 77+55=132, Resulting Numbers: [15, 66, 132]
Generated Node #2: [15, 66, 132] from Operation: 77+55=132
Current State: 17:[15, 66, 132], Operations: ['77+55=132']
Exploring Operation: 132/66=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 132/66=2
Current State: 17:[15, 2], Operations: ['77+55=132', '132/66=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
59,
59,
78,
36
] | 42
|
[
"59-59=0",
"78-36=42",
"0+42=42"
] |
Current State: 42:[59, 59, 78, 36], Operations: []
Exploring Operation: 59-59=0, Resulting Numbers: [78, 36, 0]
Generated Node #2: [78, 36, 0] from Operation: 59-59=0
Current State: 42:[78, 36, 0], Operations: ['59-59=0']
Exploring Operation: 78-36=42, Resulting Numbers: [0, 42]
Generated Node #3: [0, 42] from Operation: 78-36=42
Current State: 42:[0, 42], Operations: ['59-59=0', '78-36=42']
Exploring Operation: 0+42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
41,
10,
91,
58
] | 80
|
[
"91-41=50",
"58-50=8",
"10*8=80"
] |
Current State: 80:[41, 10, 91, 58], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [10, 58, 50]
Generated Node #2: [10, 58, 50] from Operation: 91-41=50
Current State: 80:[10, 58, 50], Operations: ['91-41=50']
Exploring Operation: 58-50=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 58-50=8
Current State: 80:[10, 8], Operations: ['91-41=50', '58-50=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
58,
62,
33,
3
] | 87
|
[
"62-58=4",
"33-4=29",
"3*29=87"
] |
Current State: 87:[58, 62, 33, 3], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [33, 3, 4]
Generated Node #2: [33, 3, 4] from Operation: 62-58=4
Current State: 87:[33, 3, 4], Operations: ['62-58=4']
Exploring Operation: 33-4=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 33-4=29
Current State: 87:[3, 29], Operations: ['62-58=4', '33-4=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
87,
13,
48,
79
] | 82
|
[
"87-48=39",
"39/13=3",
"79+3=82"
] |
Current State: 82:[87, 13, 48, 79], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [13, 79, 39]
Generated Node #2: [13, 79, 39] from Operation: 87-48=39
Current State: 82:[13, 79, 39], Operations: ['87-48=39']
Exploring Operation: 39/13=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 39/13=3
Current State: 82:[79, 3], Operations: ['87-48=39', '39/13=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
7,
87,
68,
60
] | 89
|
[
"87+60=147",
"147/7=21",
"68+21=89"
] |
Current State: 89:[7, 87, 68, 60], Operations: []
Exploring Operation: 87+60=147, Resulting Numbers: [7, 68, 147]
Generated Node #2: [7, 68, 147] from Operation: 87+60=147
Current State: 89:[7, 68, 147], Operations: ['87+60=147']
Exploring Operation: 147/7=21, Resulting Numbers: [68, 21]
Generated Node #3: [68, 21] from Operation: 147/7=21
Current State: 89:[68, 21], Operations: ['87+60=147', '147/7=21']
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
18,
92,
28,
75
] | 28
|
[
"92-18=74",
"75-74=1",
"28*1=28"
] |
Current State: 28:[18, 92, 28, 75], Operations: []
Exploring Operation: 92-18=74, Resulting Numbers: [28, 75, 74]
Generated Node #2: [28, 75, 74] from Operation: 92-18=74
Current State: 28:[28, 75, 74], Operations: ['92-18=74']
Exploring Operation: 75-74=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 75-74=1
Current State: 28:[28, 1], Operations: ['92-18=74', '75-74=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
63,
38,
17,
52
] | 94
|
[
"63-38=25",
"17+52=69",
"25+69=94"
] |
Current State: 94:[63, 38, 17, 52], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [17, 52, 25]
Generated Node #2: [17, 52, 25] from Operation: 63-38=25
Current State: 94:[17, 52, 25], Operations: ['63-38=25']
Exploring Operation: 17+52=69, Resulting Numbers: [25, 69]
Generated Node #3: [25, 69] from Operation: 17+52=69
Current State: 94:[25, 69], Operations: ['63-38=25', '17+52=69']
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
54,
45,
58,
16
] | 65
|
[
"54-45=9",
"58+16=74",
"74-9=65"
] |
Current State: 65:[54, 45, 58, 16], Operations: []
Exploring Operation: 54-45=9, Resulting Numbers: [58, 16, 9]
Generated Node #2: [58, 16, 9] from Operation: 54-45=9
Current State: 65:[58, 16, 9], Operations: ['54-45=9']
Exploring Operation: 58+16=74, Resulting Numbers: [9, 74]
Generated Node #3: [9, 74] from Operation: 58+16=74
Current State: 65:[9, 74], Operations: ['54-45=9', '58+16=74']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
23,
86,
2,
78
] | 71
|
[
"23+78=101",
"86*2=172",
"172-101=71"
] |
Current State: 71:[23, 86, 2, 78], Operations: []
Exploring Operation: 23+78=101, Resulting Numbers: [86, 2, 101]
Generated Node #2: [86, 2, 101] from Operation: 23+78=101
Current State: 71:[86, 2, 101], Operations: ['23+78=101']
Exploring Operation: 86*2=172, Resulting Numbers: [101, 172]
Generated Node #3: [101, 172] from Operation: 86*2=172
Current State: 71:[101, 172], Operations: ['23+78=101', '86*2=172']
Exploring Operation: 172-101=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
95,
1,
13,
47
] | 35
|
[
"95*1=95",
"13+47=60",
"95-60=35"
] |
Current State: 35:[95, 1, 13, 47], Operations: []
Exploring Operation: 95*1=95, Resulting Numbers: [13, 47, 95]
Generated Node #2: [13, 47, 95] from Operation: 95*1=95
Current State: 35:[13, 47, 95], Operations: ['95*1=95']
Exploring Operation: 13+47=60, Resulting Numbers: [95, 60]
Generated Node #3: [95, 60] from Operation: 13+47=60
Current State: 35:[95, 60], Operations: ['95*1=95', '13+47=60']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
14,
55,
69,
35
] | 75
|
[
"55-14=41",
"69-35=34",
"41+34=75"
] |
Current State: 75:[14, 55, 69, 35], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [69, 35, 41]
Generated Node #2: [69, 35, 41] from Operation: 55-14=41
Current State: 75:[69, 35, 41], Operations: ['55-14=41']
Exploring Operation: 69-35=34, Resulting Numbers: [41, 34]
Generated Node #3: [41, 34] from Operation: 69-35=34
Current State: 75:[41, 34], Operations: ['55-14=41', '69-35=34']
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
25,
57,
28,
72
] | 45
|
[
"28-25=3",
"72-57=15",
"3*15=45"
] |
Current State: 45:[25, 57, 28, 72], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [57, 72, 3]
Generated Node #2: [57, 72, 3] from Operation: 28-25=3
Current State: 45:[57, 72, 3], Operations: ['28-25=3']
Exploring Operation: 72-57=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 72-57=15
Current State: 45:[3, 15], Operations: ['28-25=3', '72-57=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
13,
87,
21,
71
] | 18
|
[
"87-13=74",
"21+71=92",
"92-74=18"
] |
Current State: 18:[13, 87, 21, 71], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [21, 71, 74]
Generated Node #2: [21, 71, 74] from Operation: 87-13=74
Current State: 18:[21, 71, 74], Operations: ['87-13=74']
Exploring Operation: 21+71=92, Resulting Numbers: [74, 92]
Generated Node #3: [74, 92] from Operation: 21+71=92
Current State: 18:[74, 92], Operations: ['87-13=74', '21+71=92']
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
45,
36,
37,
25
] | 70
|
[
"45+25=70",
"37-36=1",
"70*1=70"
] |
Current State: 70:[45, 36, 37, 25], Operations: []
Exploring Operation: 45+25=70, Resulting Numbers: [36, 37, 70]
Generated Node #2: [36, 37, 70] from Operation: 45+25=70
Current State: 70:[36, 37, 70], Operations: ['45+25=70']
Exploring Operation: 37-36=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 37-36=1
Current State: 70:[70, 1], Operations: ['45+25=70', '37-36=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
72,
11,
39,
43
] | 52
|
[
"72*39=2808",
"11+43=54",
"2808/54=52"
] |
Current State: 52:[72, 11, 39, 43], Operations: []
Exploring Operation: 72*39=2808, Resulting Numbers: [11, 43, 2808]
Generated Node #2: [11, 43, 2808] from Operation: 72*39=2808
Current State: 52:[11, 43, 2808], Operations: ['72*39=2808']
Exploring Operation: 11+43=54, Resulting Numbers: [2808, 54]
Generated Node #3: [2808, 54] from Operation: 11+43=54
Current State: 52:[2808, 54], Operations: ['72*39=2808', '11+43=54']
Exploring Operation: 2808/54=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
18,
53,
14,
26
] | 65
|
[
"53-18=35",
"26*35=910",
"910/14=65"
] |
Current State: 65:[18, 53, 14, 26], Operations: []
Exploring Operation: 53-18=35, Resulting Numbers: [14, 26, 35]
Generated Node #2: [14, 26, 35] from Operation: 53-18=35
Current State: 65:[14, 26, 35], Operations: ['53-18=35']
Exploring Operation: 26*35=910, Resulting Numbers: [14, 910]
Generated Node #3: [14, 910] from Operation: 26*35=910
Current State: 65:[14, 910], Operations: ['53-18=35', '26*35=910']
Exploring Operation: 910/14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
5,
41,
11,
62
] | 27
|
[
"5+41=46",
"11+62=73",
"73-46=27"
] |
Current State: 27:[5, 41, 11, 62], Operations: []
Exploring Operation: 5+41=46, Resulting Numbers: [11, 62, 46]
Generated Node #2: [11, 62, 46] from Operation: 5+41=46
Current State: 27:[11, 62, 46], Operations: ['5+41=46']
Exploring Operation: 11+62=73, Resulting Numbers: [46, 73]
Generated Node #3: [46, 73] from Operation: 11+62=73
Current State: 27:[46, 73], Operations: ['5+41=46', '11+62=73']
Exploring Operation: 73-46=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
76,
2,
55,
41
] | 22
|
[
"76-2=74",
"55+41=96",
"96-74=22"
] |
Current State: 22:[76, 2, 55, 41], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [55, 41, 74]
Generated Node #2: [55, 41, 74] from Operation: 76-2=74
Current State: 22:[55, 41, 74], Operations: ['76-2=74']
Exploring Operation: 55+41=96, Resulting Numbers: [74, 96]
Generated Node #3: [74, 96] from Operation: 55+41=96
Current State: 22:[74, 96], Operations: ['76-2=74', '55+41=96']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
4,
70,
82,
8
] | 11
|
[
"82-70=12",
"12/4=3",
"8+3=11"
] |
Current State: 11:[4, 70, 82, 8], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [4, 8, 12]
Generated Node #2: [4, 8, 12] from Operation: 82-70=12
Current State: 11:[4, 8, 12], Operations: ['82-70=12']
Exploring Operation: 12/4=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 12/4=3
Current State: 11:[8, 3], Operations: ['82-70=12', '12/4=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
73,
97,
6,
3
] | 78
|
[
"97-73=24",
"3*24=72",
"6+72=78"
] |
Current State: 78:[73, 97, 6, 3], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [6, 3, 24]
Generated Node #2: [6, 3, 24] from Operation: 97-73=24
Current State: 78:[6, 3, 24], Operations: ['97-73=24']
Exploring Operation: 3*24=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 3*24=72
Current State: 78:[6, 72], Operations: ['97-73=24', '3*24=72']
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
96,
97,
21,
53
] | 32
|
[
"97-96=1",
"53-21=32",
"1*32=32"
] |
Current State: 32:[96, 97, 21, 53], Operations: []
Exploring Operation: 97-96=1, Resulting Numbers: [21, 53, 1]
Generated Node #2: [21, 53, 1] from Operation: 97-96=1
Current State: 32:[21, 53, 1], Operations: ['97-96=1']
Exploring Operation: 53-21=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 53-21=32
Current State: 32:[1, 32], Operations: ['97-96=1', '53-21=32']
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
68,
53,
72,
41
] | 46
|
[
"68-53=15",
"72-41=31",
"15+31=46"
] |
Current State: 46:[68, 53, 72, 41], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [72, 41, 15]
Generated Node #2: [72, 41, 15] from Operation: 68-53=15
Current State: 46:[72, 41, 15], Operations: ['68-53=15']
Exploring Operation: 72-41=31, Resulting Numbers: [15, 31]
Generated Node #3: [15, 31] from Operation: 72-41=31
Current State: 46:[15, 31], Operations: ['68-53=15', '72-41=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
84,
57,
42,
92
] | 91
|
[
"84+57=141",
"92-42=50",
"141-50=91"
] |
Current State: 91:[84, 57, 42, 92], Operations: []
Exploring Operation: 84+57=141, Resulting Numbers: [42, 92, 141]
Generated Node #2: [42, 92, 141] from Operation: 84+57=141
Current State: 91:[42, 92, 141], Operations: ['84+57=141']
Exploring Operation: 92-42=50, Resulting Numbers: [141, 50]
Generated Node #3: [141, 50] from Operation: 92-42=50
Current State: 91:[141, 50], Operations: ['84+57=141', '92-42=50']
Exploring Operation: 141-50=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
68,
91,
4,
66
] | 99
|
[
"68-66=2",
"4*2=8",
"91+8=99"
] |
Current State: 99:[68, 91, 4, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [91, 4, 2]
Generated Node #2: [91, 4, 2] from Operation: 68-66=2
Current State: 99:[91, 4, 2], Operations: ['68-66=2']
Exploring Operation: 4*2=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 4*2=8
Current State: 99:[91, 8], Operations: ['68-66=2', '4*2=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
23,
55,
57,
57
] | 17
|
[
"57-23=34",
"57-55=2",
"34/2=17"
] |
Current State: 17:[23, 55, 57, 57], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [55, 34]
Generated Node #2: [55, 34] from Operation: 57-23=34
Current State: 17:[55, 34], Operations: ['57-23=34']
Exploring Operation: 57-55=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 57-55=2
Current State: 17:[34, 2], Operations: ['57-23=34', '57-55=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
85,
59,
33,
85
] | 27
|
[
"85/85=1",
"59-33=26",
"1+26=27"
] |
Current State: 27:[85, 59, 33, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [59, 33, 1]
Generated Node #2: [59, 33, 1] from Operation: 85/85=1
Current State: 27:[59, 33, 1], Operations: ['85/85=1']
Exploring Operation: 59-33=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 59-33=26
Current State: 27:[1, 26], Operations: ['85/85=1', '59-33=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
19,
18,
17,
28
] | 19
|
[
"19-17=2",
"18/2=9",
"28-9=19"
] |
Current State: 19:[19, 18, 17, 28], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [18, 28, 2]
Generated Node #2: [18, 28, 2] from Operation: 19-17=2
Current State: 19:[18, 28, 2], Operations: ['19-17=2']
Exploring Operation: 18/2=9, Resulting Numbers: [28, 9]
Generated Node #3: [28, 9] from Operation: 18/2=9
Current State: 19:[28, 9], Operations: ['19-17=2', '18/2=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
8,
73,
75,
8
] | 16
|
[
"8*73=584",
"75*8=600",
"600-584=16"
] |
Current State: 16:[8, 73, 75, 8], Operations: []
Exploring Operation: 8*73=584, Resulting Numbers: [75, 584]
Generated Node #2: [75, 584] from Operation: 8*73=584
Current State: 16:[75, 584], Operations: ['8*73=584']
Exploring Operation: 75*8=600, Resulting Numbers: [584, 600]
Generated Node #3: [584, 600] from Operation: 75*8=600
Current State: 16:[584, 600], Operations: ['8*73=584', '75*8=600']
Exploring Operation: 600-584=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
70,
10,
95,
78
] | 15
|
[
"78-70=8",
"10*8=80",
"95-80=15"
] |
Current State: 15:[70, 10, 95, 78], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [10, 95, 8]
Generated Node #2: [10, 95, 8] from Operation: 78-70=8
Current State: 15:[10, 95, 8], Operations: ['78-70=8']
Exploring Operation: 10*8=80, Resulting Numbers: [95, 80]
Generated Node #3: [95, 80] from Operation: 10*8=80
Current State: 15:[95, 80], Operations: ['78-70=8', '10*8=80']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
20,
91,
15,
95
] | 87
|
[
"95-15=80",
"80/20=4",
"91-4=87"
] |
Current State: 87:[20, 91, 15, 95], Operations: []
Exploring Operation: 95-15=80, Resulting Numbers: [20, 91, 80]
Generated Node #2: [20, 91, 80] from Operation: 95-15=80
Current State: 87:[20, 91, 80], Operations: ['95-15=80']
Exploring Operation: 80/20=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 80/20=4
Current State: 87:[91, 4], Operations: ['95-15=80', '80/20=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
46,
32,
20,
42
] | 48
|
[
"46-32=14",
"20+42=62",
"62-14=48"
] |
Current State: 48:[46, 32, 20, 42], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [20, 42, 14]
Generated Node #2: [20, 42, 14] from Operation: 46-32=14
Current State: 48:[20, 42, 14], Operations: ['46-32=14']
Exploring Operation: 20+42=62, Resulting Numbers: [14, 62]
Generated Node #3: [14, 62] from Operation: 20+42=62
Current State: 48:[14, 62], Operations: ['46-32=14', '20+42=62']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
80,
3,
87,
11
] | 98
|
[
"87-80=7",
"3+11=14",
"7*14=98"
] |
Current State: 98:[80, 3, 87, 11], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [3, 11, 7]
Generated Node #2: [3, 11, 7] from Operation: 87-80=7
Current State: 98:[3, 11, 7], Operations: ['87-80=7']
Exploring Operation: 3+11=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 3+11=14
Current State: 98:[7, 14], Operations: ['87-80=7', '3+11=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
9,
16,
50,
14
] | 16
|
[
"9+16=25",
"50/25=2",
"14+2=16"
] |
Current State: 16:[9, 16, 50, 14], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [50, 14, 25]
Generated Node #2: [50, 14, 25] from Operation: 9+16=25
Current State: 16:[50, 14, 25], Operations: ['9+16=25']
Exploring Operation: 50/25=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 50/25=2
Current State: 16:[14, 2], Operations: ['9+16=25', '50/25=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
4,
85,
75,
76
] | 89
|
[
"4+85=89",
"76-75=1",
"89*1=89"
] |
Current State: 89:[4, 85, 75, 76], Operations: []
Exploring Operation: 4+85=89, Resulting Numbers: [75, 76, 89]
Generated Node #2: [75, 76, 89] from Operation: 4+85=89
Current State: 89:[75, 76, 89], Operations: ['4+85=89']
Exploring Operation: 76-75=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 76-75=1
Current State: 89:[89, 1], Operations: ['4+85=89', '76-75=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
75,
50,
84,
21
] | 62
|
[
"75+50=125",
"84-21=63",
"125-63=62"
] |
Current State: 62:[75, 50, 84, 21], Operations: []
Exploring Operation: 75+50=125, Resulting Numbers: [84, 21, 125]
Generated Node #2: [84, 21, 125] from Operation: 75+50=125
Current State: 62:[84, 21, 125], Operations: ['75+50=125']
Exploring Operation: 84-21=63, Resulting Numbers: [125, 63]
Generated Node #3: [125, 63] from Operation: 84-21=63
Current State: 62:[125, 63], Operations: ['75+50=125', '84-21=63']
Exploring Operation: 125-63=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
87,
80,
86,
34
] | 58
|
[
"87*80=6960",
"86+34=120",
"6960/120=58"
] |
Current State: 58:[87, 80, 86, 34], Operations: []
Exploring Operation: 87*80=6960, Resulting Numbers: [86, 34, 6960]
Generated Node #2: [86, 34, 6960] from Operation: 87*80=6960
Current State: 58:[86, 34, 6960], Operations: ['87*80=6960']
Exploring Operation: 86+34=120, Resulting Numbers: [6960, 120]
Generated Node #3: [6960, 120] from Operation: 86+34=120
Current State: 58:[6960, 120], Operations: ['87*80=6960', '86+34=120']
Exploring Operation: 6960/120=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
56,
94,
2,
34
] | 58
|
[
"56+94=150",
"150-34=116",
"116/2=58"
] |
Current State: 58:[56, 94, 2, 34], Operations: []
Exploring Operation: 56+94=150, Resulting Numbers: [2, 34, 150]
Generated Node #2: [2, 34, 150] from Operation: 56+94=150
Current State: 58:[2, 34, 150], Operations: ['56+94=150']
Exploring Operation: 150-34=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 150-34=116
Current State: 58:[2, 116], Operations: ['56+94=150', '150-34=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
63,
39,
53,
41
] | 36
|
[
"63-39=24",
"53-41=12",
"24+12=36"
] |
Current State: 36:[63, 39, 53, 41], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [53, 41, 24]
Generated Node #2: [53, 41, 24] from Operation: 63-39=24
Current State: 36:[53, 41, 24], Operations: ['63-39=24']
Exploring Operation: 53-41=12, Resulting Numbers: [24, 12]
Generated Node #3: [24, 12] from Operation: 53-41=12
Current State: 36:[24, 12], Operations: ['63-39=24', '53-41=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
38,
49,
47,
56
] | 63
|
[
"47-38=9",
"56-49=7",
"9*7=63"
] |
Current State: 63:[38, 49, 47, 56], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [49, 56, 9]
Generated Node #2: [49, 56, 9] from Operation: 47-38=9
Current State: 63:[49, 56, 9], Operations: ['47-38=9']
Exploring Operation: 56-49=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 56-49=7
Current State: 63:[9, 7], Operations: ['47-38=9', '56-49=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
22,
9,
28,
62
] | 59
|
[
"22+9=31",
"28+62=90",
"90-31=59"
] |
Current State: 59:[22, 9, 28, 62], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [28, 62, 31]
Generated Node #2: [28, 62, 31] from Operation: 22+9=31
Current State: 59:[28, 62, 31], Operations: ['22+9=31']
Exploring Operation: 28+62=90, Resulting Numbers: [31, 90]
Generated Node #3: [31, 90] from Operation: 28+62=90
Current State: 59:[31, 90], Operations: ['22+9=31', '28+62=90']
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
87,
92,
23,
37
] | 12
|
[
"92-87=5",
"23+37=60",
"60/5=12"
] |
Current State: 12:[87, 92, 23, 37], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [23, 37, 5]
Generated Node #2: [23, 37, 5] from Operation: 92-87=5
Current State: 12:[23, 37, 5], Operations: ['92-87=5']
Exploring Operation: 23+37=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 23+37=60
Current State: 12:[5, 60], Operations: ['92-87=5', '23+37=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
33,
59,
52,
26
] | 28
|
[
"59-33=26",
"52/26=2",
"26+2=28"
] |
Current State: 28:[33, 59, 52, 26], Operations: []
Exploring Operation: 59-33=26, Resulting Numbers: [52, 26, 26]
Generated Node #2: [52, 26, 26] from Operation: 59-33=26
Current State: 28:[52, 26, 26], Operations: ['59-33=26']
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,28 equal: Goal Reached
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
41,
60,
73,
15
] | 13
|
[
"41+60=101",
"73+15=88",
"101-88=13"
] |
Current State: 13:[41, 60, 73, 15], Operations: []
Exploring Operation: 41+60=101, Resulting Numbers: [73, 15, 101]
Generated Node #2: [73, 15, 101] from Operation: 41+60=101
Current State: 13:[73, 15, 101], Operations: ['41+60=101']
Exploring Operation: 73+15=88, Resulting Numbers: [101, 88]
Generated Node #3: [101, 88] from Operation: 73+15=88
Current State: 13:[101, 88], Operations: ['41+60=101', '73+15=88']
Exploring Operation: 101-88=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
55,
90,
82,
3
] | 99
|
[
"82-55=27",
"27/3=9",
"90+9=99"
] |
Current State: 99:[55, 90, 82, 3], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [90, 3, 27]
Generated Node #2: [90, 3, 27] from Operation: 82-55=27
Current State: 99:[90, 3, 27], Operations: ['82-55=27']
Exploring Operation: 27/3=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 27/3=9
Current State: 99:[90, 9], Operations: ['82-55=27', '27/3=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
60,
65,
20,
90
] | 62
|
[
"65-20=45",
"90/45=2",
"60+2=62"
] |
Current State: 62:[60, 65, 20, 90], Operations: []
Exploring Operation: 65-20=45, Resulting Numbers: [60, 90, 45]
Generated Node #2: [60, 90, 45] from Operation: 65-20=45
Current State: 62:[60, 90, 45], Operations: ['65-20=45']
Exploring Operation: 90/45=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 90/45=2
Current State: 62:[60, 2], Operations: ['65-20=45', '90/45=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
7,
75,
21,
23
] | 65
|
[
"7*23=161",
"75+21=96",
"161-96=65"
] |
Current State: 65:[7, 75, 21, 23], Operations: []
Exploring Operation: 7*23=161, Resulting Numbers: [75, 21, 161]
Generated Node #2: [75, 21, 161] from Operation: 7*23=161
Current State: 65:[75, 21, 161], Operations: ['7*23=161']
Exploring Operation: 75+21=96, Resulting Numbers: [161, 96]
Generated Node #3: [161, 96] from Operation: 75+21=96
Current State: 65:[161, 96], Operations: ['7*23=161', '75+21=96']
Exploring Operation: 161-96=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
40,
4,
6,
22
] | 37
|
[
"22-4=18",
"18/6=3",
"40-3=37"
] |
Current State: 37:[40, 4, 6, 22], Operations: []
Exploring Operation: 22-4=18, Resulting Numbers: [40, 6, 18]
Generated Node #2: [40, 6, 18] from Operation: 22-4=18
Current State: 37:[40, 6, 18], Operations: ['22-4=18']
Exploring Operation: 18/6=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 18/6=3
Current State: 37:[40, 3], Operations: ['22-4=18', '18/6=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
62,
72,
58,
87
] | 19
|
[
"72-62=10",
"87-58=29",
"29-10=19"
] |
Current State: 19:[62, 72, 58, 87], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [58, 87, 10]
Generated Node #2: [58, 87, 10] from Operation: 72-62=10
Current State: 19:[58, 87, 10], Operations: ['72-62=10']
Exploring Operation: 87-58=29, Resulting Numbers: [10, 29]
Generated Node #3: [10, 29] from Operation: 87-58=29
Current State: 19:[10, 29], Operations: ['72-62=10', '87-58=29']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
27,
8,
37,
5
] | 31
|
[
"27*8=216",
"37*5=185",
"216-185=31"
] |
Current State: 31:[27, 8, 37, 5], Operations: []
Exploring Operation: 27*8=216, Resulting Numbers: [37, 5, 216]
Generated Node #2: [37, 5, 216] from Operation: 27*8=216
Current State: 31:[37, 5, 216], Operations: ['27*8=216']
Exploring Operation: 37*5=185, Resulting Numbers: [216, 185]
Generated Node #3: [216, 185] from Operation: 37*5=185
Current State: 31:[216, 185], Operations: ['27*8=216', '37*5=185']
Exploring Operation: 216-185=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
12,
72,
8,
73
] | 49
|
[
"12*8=96",
"72+73=145",
"145-96=49"
] |
Current State: 49:[12, 72, 8, 73], Operations: []
Exploring Operation: 12*8=96, Resulting Numbers: [72, 73, 96]
Generated Node #2: [72, 73, 96] from Operation: 12*8=96
Current State: 49:[72, 73, 96], Operations: ['12*8=96']
Exploring Operation: 72+73=145, Resulting Numbers: [96, 145]
Generated Node #3: [96, 145] from Operation: 72+73=145
Current State: 49:[96, 145], Operations: ['12*8=96', '72+73=145']
Exploring Operation: 145-96=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
90,
77,
89,
18
] | 15
|
[
"89-77=12",
"18-12=6",
"90/6=15"
] |
Current State: 15:[90, 77, 89, 18], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [90, 18, 12]
Generated Node #2: [90, 18, 12] from Operation: 89-77=12
Current State: 15:[90, 18, 12], Operations: ['89-77=12']
Exploring Operation: 18-12=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 18-12=6
Current State: 15:[90, 6], Operations: ['89-77=12', '18-12=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
37,
23,
97,
89
] | 68
|
[
"37+23=60",
"97-89=8",
"60+8=68"
] |
Current State: 68:[37, 23, 97, 89], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [97, 89, 60]
Generated Node #2: [97, 89, 60] from Operation: 37+23=60
Current State: 68:[97, 89, 60], Operations: ['37+23=60']
Exploring Operation: 97-89=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 97-89=8
Current State: 68:[60, 8], Operations: ['37+23=60', '97-89=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
70,
73,
41,
12
] | 26
|
[
"73-70=3",
"41-12=29",
"29-3=26"
] |
Current State: 26:[70, 73, 41, 12], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [41, 12, 3]
Generated Node #2: [41, 12, 3] from Operation: 73-70=3
Current State: 26:[41, 12, 3], Operations: ['73-70=3']
Exploring Operation: 41-12=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 41-12=29
Current State: 26:[3, 29], Operations: ['73-70=3', '41-12=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
32,
19,
48,
16
] | 55
|
[
"19*48=912",
"912-32=880",
"880/16=55"
] |
Current State: 55:[32, 19, 48, 16], Operations: []
Exploring Operation: 19*48=912, Resulting Numbers: [32, 16, 912]
Generated Node #2: [32, 16, 912] from Operation: 19*48=912
Current State: 55:[32, 16, 912], Operations: ['19*48=912']
Exploring Operation: 912-32=880, Resulting Numbers: [16, 880]
Generated Node #3: [16, 880] from Operation: 912-32=880
Current State: 55:[16, 880], Operations: ['19*48=912', '912-32=880']
Exploring Operation: 880/16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
9,
25,
61,
27
] | 14
|
[
"27/9=3",
"25*3=75",
"75-61=14"
] |
Current State: 14:[9, 25, 61, 27], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [25, 61, 3]
Generated Node #2: [25, 61, 3] from Operation: 27/9=3
Current State: 14:[25, 61, 3], Operations: ['27/9=3']
Exploring Operation: 25*3=75, Resulting Numbers: [61, 75]
Generated Node #3: [61, 75] from Operation: 25*3=75
Current State: 14:[61, 75], Operations: ['27/9=3', '25*3=75']
Exploring Operation: 75-61=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
35,
45,
30,
93
] | 87
|
[
"93-35=58",
"45*58=2610",
"2610/30=87"
] |
Current State: 87:[35, 45, 30, 93], Operations: []
Exploring Operation: 93-35=58, Resulting Numbers: [45, 30, 58]
Generated Node #2: [45, 30, 58] from Operation: 93-35=58
Current State: 87:[45, 30, 58], Operations: ['93-35=58']
Exploring Operation: 45*58=2610, Resulting Numbers: [30, 2610]
Generated Node #3: [30, 2610] from Operation: 45*58=2610
Current State: 87:[30, 2610], Operations: ['93-35=58', '45*58=2610']
Exploring Operation: 2610/30=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
48,
10,
32,
68
] | 83
|
[
"48*10=480",
"480/32=15",
"68+15=83"
] |
Current State: 83:[48, 10, 32, 68], Operations: []
Exploring Operation: 48*10=480, Resulting Numbers: [32, 68, 480]
Generated Node #2: [32, 68, 480] from Operation: 48*10=480
Current State: 83:[32, 68, 480], Operations: ['48*10=480']
Exploring Operation: 480/32=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 480/32=15
Current State: 83:[68, 15], Operations: ['48*10=480', '480/32=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
64,
5,
11,
16
] | 75
|
[
"64/16=4",
"11+4=15",
"5*15=75"
] |
Current State: 75:[64, 5, 11, 16], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [5, 11, 4]
Generated Node #2: [5, 11, 4] from Operation: 64/16=4
Current State: 75:[5, 11, 4], Operations: ['64/16=4']
Exploring Operation: 11+4=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 11+4=15
Current State: 75:[5, 15], Operations: ['64/16=4', '11+4=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
6,
56,
17,
65
] | 11
|
[
"17-6=11",
"56+65=121",
"121/11=11"
] |
Current State: 11:[6, 56, 17, 65], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [56, 65, 11]
Generated Node #2: [56, 65, 11] from Operation: 17-6=11
Current State: 11:[56, 65, 11], Operations: ['17-6=11']
Exploring Operation: 56+65=121, Resulting Numbers: [11, 121]
Generated Node #3: [11, 121] from Operation: 56+65=121
Current State: 11:[11, 121], Operations: ['17-6=11', '56+65=121']
Exploring Operation: 121/11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
86,
68,
77,
26
] | 28
|
[
"86+68=154",
"154/77=2",
"26+2=28"
] |
Current State: 28:[86, 68, 77, 26], Operations: []
Exploring Operation: 86+68=154, Resulting Numbers: [77, 26, 154]
Generated Node #2: [77, 26, 154] from Operation: 86+68=154
Current State: 28:[77, 26, 154], Operations: ['86+68=154']
Exploring Operation: 154/77=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 154/77=2
Current State: 28:[26, 2], Operations: ['86+68=154', '154/77=2']
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
80,
71,
10,
80
] | 80
|
[
"80-71=9",
"10-9=1",
"80*1=80"
] |
Current State: 80:[80, 71, 10, 80], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [10, 9]
Generated Node #2: [10, 9] from Operation: 80-71=9
Current State: 80:[10, 9], Operations: ['80-71=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,80 equal: Goal Reached
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
80,
6,
38,
48
] | 55
|
[
"80-38=42",
"42/6=7",
"48+7=55"
] |
Current State: 55:[80, 6, 38, 48], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [6, 48, 42]
Generated Node #2: [6, 48, 42] from Operation: 80-38=42
Current State: 55:[6, 48, 42], Operations: ['80-38=42']
Exploring Operation: 42/6=7, Resulting Numbers: [48, 7]
Generated Node #3: [48, 7] from Operation: 42/6=7
Current State: 55:[48, 7], Operations: ['80-38=42', '42/6=7']
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
15,
69,
66,
53
] | 97
|
[
"15+69=84",
"66-53=13",
"84+13=97"
] |
Current State: 97:[15, 69, 66, 53], Operations: []
Exploring Operation: 15+69=84, Resulting Numbers: [66, 53, 84]
Generated Node #2: [66, 53, 84] from Operation: 15+69=84
Current State: 97:[66, 53, 84], Operations: ['15+69=84']
Exploring Operation: 66-53=13, Resulting Numbers: [84, 13]
Generated Node #3: [84, 13] from Operation: 66-53=13
Current State: 97:[84, 13], Operations: ['15+69=84', '66-53=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
31,
39,
22,
73
] | 19
|
[
"31+39=70",
"73-22=51",
"70-51=19"
] |
Current State: 19:[31, 39, 22, 73], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [22, 73, 70]
Generated Node #2: [22, 73, 70] from Operation: 31+39=70
Current State: 19:[22, 73, 70], Operations: ['31+39=70']
Exploring Operation: 73-22=51, Resulting Numbers: [70, 51]
Generated Node #3: [70, 51] from Operation: 73-22=51
Current State: 19:[70, 51], Operations: ['31+39=70', '73-22=51']
Exploring Operation: 70-51=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
87,
3,
79,
86
] | 12
|
[
"87-3=84",
"86-79=7",
"84/7=12"
] |
Current State: 12:[87, 3, 79, 86], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [79, 86, 84]
Generated Node #2: [79, 86, 84] from Operation: 87-3=84
Current State: 12:[79, 86, 84], Operations: ['87-3=84']
Exploring Operation: 86-79=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 86-79=7
Current State: 12:[84, 7], Operations: ['87-3=84', '86-79=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
80,
93,
87,
73
] | 83
|
[
"93-73=20",
"80/20=4",
"87-4=83"
] |
Current State: 83:[80, 93, 87, 73], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [80, 87, 20]
Generated Node #2: [80, 87, 20] from Operation: 93-73=20
Current State: 83:[80, 87, 20], Operations: ['93-73=20']
Exploring Operation: 80/20=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 80/20=4
Current State: 83:[87, 4], Operations: ['93-73=20', '80/20=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
30,
46,
10,
42
] | 16
|
[
"46-30=16",
"42-10=32",
"32-16=16"
] |
Current State: 16:[30, 46, 10, 42], Operations: []
Exploring Operation: 46-30=16, Resulting Numbers: [10, 42, 16]
Generated Node #2: [10, 42, 16] from Operation: 46-30=16
Current State: 16:[10, 42, 16], Operations: ['46-30=16']
Exploring Operation: 42-10=32, Resulting Numbers: [16, 32]
Generated Node #3: [16, 32] from Operation: 42-10=32
Current State: 16:[16, 32], Operations: ['46-30=16', '42-10=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
2,
16,
70,
66
] | 40
|
[
"16+70=86",
"86-66=20",
"2*20=40"
] |
Current State: 40:[2, 16, 70, 66], Operations: []
Exploring Operation: 16+70=86, Resulting Numbers: [2, 66, 86]
Generated Node #2: [2, 66, 86] from Operation: 16+70=86
Current State: 40:[2, 66, 86], Operations: ['16+70=86']
Exploring Operation: 86-66=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 86-66=20
Current State: 40:[2, 20], Operations: ['16+70=86', '86-66=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
96,
32,
51,
22
] | 70
|
[
"96/32=3",
"51+22=73",
"73-3=70"
] |
Current State: 70:[96, 32, 51, 22], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [51, 22, 3]
Generated Node #2: [51, 22, 3] from Operation: 96/32=3
Current State: 70:[51, 22, 3], Operations: ['96/32=3']
Exploring Operation: 51+22=73, Resulting Numbers: [3, 73]
Generated Node #3: [3, 73] from Operation: 51+22=73
Current State: 70:[3, 73], Operations: ['96/32=3', '51+22=73']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
40,
61,
32,
40
] | 51
|
[
"61-40=21",
"32+40=72",
"72-21=51"
] |
Current State: 51:[40, 61, 32, 40], Operations: []
Exploring Operation: 61-40=21, Resulting Numbers: [32, 21]
Generated Node #2: [32, 21] from Operation: 61-40=21
Current State: 51:[32, 21], Operations: ['61-40=21']
Exploring Operation: 32+40=72, Resulting Numbers: [21, 72]
Generated Node #3: [21, 72] from Operation: 32+40=72
Current State: 51:[21, 72], Operations: ['61-40=21', '32+40=72']
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
[
85,
56,
36,
17
] | 88
|
[
"85+56=141",
"36+17=53",
"141-53=88"
] |
Current State: 88:[85, 56, 36, 17], Operations: []
Exploring Operation: 85+56=141, Resulting Numbers: [36, 17, 141]
Generated Node #2: [36, 17, 141] from Operation: 85+56=141
Current State: 88:[36, 17, 141], Operations: ['85+56=141']
Exploring Operation: 36+17=53, Resulting Numbers: [141, 53]
Generated Node #3: [141, 53] from Operation: 36+17=53
Current State: 88:[141, 53], Operations: ['85+56=141', '36+17=53']
Exploring Operation: 141-53=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
68,
81,
86,
12
] | 85
|
[
"81-68=13",
"86+12=98",
"98-13=85"
] |
Current State: 85:[68, 81, 86, 12], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [86, 12, 13]
Generated Node #2: [86, 12, 13] from Operation: 81-68=13
Current State: 85:[86, 12, 13], Operations: ['81-68=13']
Exploring Operation: 86+12=98, Resulting Numbers: [13, 98]
Generated Node #3: [13, 98] from Operation: 86+12=98
Current State: 85:[13, 98], Operations: ['81-68=13', '86+12=98']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
13,
64,
50,
94
] | 95
|
[
"64-13=51",
"94-50=44",
"51+44=95"
] |
Current State: 95:[13, 64, 50, 94], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [50, 94, 51]
Generated Node #2: [50, 94, 51] from Operation: 64-13=51
Current State: 95:[50, 94, 51], Operations: ['64-13=51']
Exploring Operation: 94-50=44, Resulting Numbers: [51, 44]
Generated Node #3: [51, 44] from Operation: 94-50=44
Current State: 95:[51, 44], Operations: ['64-13=51', '94-50=44']
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
[
52,
28,
8,
5
] | 13
|
[
"52*5=260",
"28-8=20",
"260/20=13"
] |
Current State: 13:[52, 28, 8, 5], Operations: []
Exploring Operation: 52*5=260, Resulting Numbers: [28, 8, 260]
Generated Node #2: [28, 8, 260] from Operation: 52*5=260
Current State: 13:[28, 8, 260], Operations: ['52*5=260']
Exploring Operation: 28-8=20, Resulting Numbers: [260, 20]
Generated Node #3: [260, 20] from Operation: 28-8=20
Current State: 13:[260, 20], Operations: ['52*5=260', '28-8=20']
Exploring Operation: 260/20=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
90,
25,
35,
41
] | 85
|
[
"90*35=3150",
"3150/25=126",
"126-41=85"
] |
Current State: 85:[90, 25, 35, 41], Operations: []
Exploring Operation: 90*35=3150, Resulting Numbers: [25, 41, 3150]
Generated Node #2: [25, 41, 3150] from Operation: 90*35=3150
Current State: 85:[25, 41, 3150], Operations: ['90*35=3150']
Exploring Operation: 3150/25=126, Resulting Numbers: [41, 126]
Generated Node #3: [41, 126] from Operation: 3150/25=126
Current State: 85:[41, 126], Operations: ['90*35=3150', '3150/25=126']
Exploring Operation: 126-41=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
37,
3,
30,
8
] | 89
|
[
"37*3=111",
"30-8=22",
"111-22=89"
] |
Current State: 89:[37, 3, 30, 8], Operations: []
Exploring Operation: 37*3=111, Resulting Numbers: [30, 8, 111]
Generated Node #2: [30, 8, 111] from Operation: 37*3=111
Current State: 89:[30, 8, 111], Operations: ['37*3=111']
Exploring Operation: 30-8=22, Resulting Numbers: [111, 22]
Generated Node #3: [111, 22] from Operation: 30-8=22
Current State: 89:[111, 22], Operations: ['37*3=111', '30-8=22']
Exploring Operation: 111-22=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
55,
46,
20,
93
] | 28
|
[
"55+46=101",
"93-20=73",
"101-73=28"
] |
Current State: 28:[55, 46, 20, 93], Operations: []
Exploring Operation: 55+46=101, Resulting Numbers: [20, 93, 101]
Generated Node #2: [20, 93, 101] from Operation: 55+46=101
Current State: 28:[20, 93, 101], Operations: ['55+46=101']
Exploring Operation: 93-20=73, Resulting Numbers: [101, 73]
Generated Node #3: [101, 73] from Operation: 93-20=73
Current State: 28:[101, 73], Operations: ['55+46=101', '93-20=73']
Exploring Operation: 101-73=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
18,
75,
97,
9
] | 24
|
[
"18/9=2",
"97-75=22",
"2+22=24"
] |
Current State: 24:[18, 75, 97, 9], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [75, 97, 2]
Generated Node #2: [75, 97, 2] from Operation: 18/9=2
Current State: 24:[75, 97, 2], Operations: ['18/9=2']
Exploring Operation: 97-75=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 97-75=22
Current State: 24:[2, 22], Operations: ['18/9=2', '97-75=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
72,
12,
51,
16
] | 33
|
[
"16-12=4",
"72/4=18",
"51-18=33"
] |
Current State: 33:[72, 12, 51, 16], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [72, 51, 4]
Generated Node #2: [72, 51, 4] from Operation: 16-12=4
Current State: 33:[72, 51, 4], Operations: ['16-12=4']
Exploring Operation: 72/4=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 72/4=18
Current State: 33:[51, 18], Operations: ['16-12=4', '72/4=18']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
62,
95,
86,
6
] | 59
|
[
"95-62=33",
"86+6=92",
"92-33=59"
] |
Current State: 59:[62, 95, 86, 6], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [86, 6, 33]
Generated Node #2: [86, 6, 33] from Operation: 95-62=33
Current State: 59:[86, 6, 33], Operations: ['95-62=33']
Exploring Operation: 86+6=92, Resulting Numbers: [33, 92]
Generated Node #3: [33, 92] from Operation: 86+6=92
Current State: 59:[33, 92], Operations: ['95-62=33', '86+6=92']
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
55,
43,
26,
62
] | 10
|
[
"55+43=98",
"26+62=88",
"98-88=10"
] |
Current State: 10:[55, 43, 26, 62], Operations: []
Exploring Operation: 55+43=98, Resulting Numbers: [26, 62, 98]
Generated Node #2: [26, 62, 98] from Operation: 55+43=98
Current State: 10:[26, 62, 98], Operations: ['55+43=98']
Exploring Operation: 26+62=88, Resulting Numbers: [98, 88]
Generated Node #3: [98, 88] from Operation: 26+62=88
Current State: 10:[98, 88], Operations: ['55+43=98', '26+62=88']
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
6,
54,
73,
25
] | 96
|
[
"54-6=48",
"73-25=48",
"48+48=96"
] |
Current State: 96:[6, 54, 73, 25], Operations: []
Exploring Operation: 54-6=48, Resulting Numbers: [73, 25, 48]
Generated Node #2: [73, 25, 48] from Operation: 54-6=48
Current State: 96:[73, 25, 48], Operations: ['54-6=48']
Exploring Operation: 73-25=48, Resulting Numbers: [48, 48]
Generated Node #3: [48, 48] from Operation: 73-25=48
Current State: 96:[48, 48], Operations: ['54-6=48', '73-25=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
36,
1,
32,
23
] | 88
|
[
"36-32=4",
"23-1=22",
"4*22=88"
] |
Current State: 88:[36, 1, 32, 23], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [1, 23, 4]
Generated Node #2: [1, 23, 4] from Operation: 36-32=4
Current State: 88:[1, 23, 4], Operations: ['36-32=4']
Exploring Operation: 23-1=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 23-1=22
Current State: 88:[4, 22], Operations: ['36-32=4', '23-1=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
43,
17,
20,
14
] | 86
|
[
"20+14=34",
"43*34=1462",
"1462/17=86"
] |
Current State: 86:[43, 17, 20, 14], Operations: []
Exploring Operation: 20+14=34, Resulting Numbers: [43, 17, 34]
Generated Node #2: [43, 17, 34] from Operation: 20+14=34
Current State: 86:[43, 17, 34], Operations: ['20+14=34']
Exploring Operation: 43*34=1462, Resulting Numbers: [17, 1462]
Generated Node #3: [17, 1462] from Operation: 43*34=1462
Current State: 86:[17, 1462], Operations: ['20+14=34', '43*34=1462']
Exploring Operation: 1462/17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
66,
14,
16,
83
] | 13
|
[
"66+14=80",
"83-16=67",
"80-67=13"
] |
Current State: 13:[66, 14, 16, 83], Operations: []
Exploring Operation: 66+14=80, Resulting Numbers: [16, 83, 80]
Generated Node #2: [16, 83, 80] from Operation: 66+14=80
Current State: 13:[16, 83, 80], Operations: ['66+14=80']
Exploring Operation: 83-16=67, Resulting Numbers: [80, 67]
Generated Node #3: [80, 67] from Operation: 83-16=67
Current State: 13:[80, 67], Operations: ['66+14=80', '83-16=67']
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
57,
8,
41,
77
] | 69
|
[
"57-8=49",
"41+77=118",
"118-49=69"
] |
Current State: 69:[57, 8, 41, 77], Operations: []
Exploring Operation: 57-8=49, Resulting Numbers: [41, 77, 49]
Generated Node #2: [41, 77, 49] from Operation: 57-8=49
Current State: 69:[41, 77, 49], Operations: ['57-8=49']
Exploring Operation: 41+77=118, Resulting Numbers: [49, 118]
Generated Node #3: [49, 118] from Operation: 41+77=118
Current State: 69:[49, 118], Operations: ['57-8=49', '41+77=118']
Exploring Operation: 118-49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
67,
74,
50,
49
] | 69
|
[
"74-49=25",
"50/25=2",
"67+2=69"
] |
Current State: 69:[67, 74, 50, 49], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [67, 50, 25]
Generated Node #2: [67, 50, 25] from Operation: 74-49=25
Current State: 69:[67, 50, 25], Operations: ['74-49=25']
Exploring Operation: 50/25=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 50/25=2
Current State: 69:[67, 2], Operations: ['74-49=25', '50/25=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.