nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
---|---|---|---|---|
[
6,
75,
47,
2
] | 44 |
[
"75-6=69",
"69-47=22",
"2*22=44"
] |
Current State: 44:[6, 75, 47, 2], Operations: []
Exploring Operation: 75-6=69, Resulting Numbers: [47, 2, 69]
Generated Node #2: [47, 2, 69] from Operation: 75-6=69
Current State: 44:[47, 2, 69], Operations: ['75-6=69']
Exploring Operation: 69-47=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 69-47=22
Current State: 44:[2, 22], Operations: ['75-6=69', '69-47=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
58,
2,
96,
53
] | 30 |
[
"96-58=38",
"53-38=15",
"2*15=30"
] |
Current State: 30:[58, 2, 96, 53], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [2, 53, 38]
Generated Node #2: [2, 53, 38] from Operation: 96-58=38
Current State: 30:[2, 53, 38], Operations: ['96-58=38']
Exploring Operation: 53-38=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 53-38=15
Current State: 30:[2, 15], Operations: ['96-58=38', '53-38=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
72,
77,
83
] | 31 |
[
"83-72=11",
"77/11=7",
"38-7=31"
] |
Current State: 31:[38, 72, 77, 83], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [38, 77, 11]
Generated Node #2: [38, 77, 11] from Operation: 83-72=11
Current State: 31:[38, 77, 11], Operations: ['83-72=11']
Exploring Operation: 77/11=7, Resulting Numbers: [38, 7]
Generated Node #3: [38, 7] from Operation: 77/11=7
Current State: 31:[38, 7], Operations: ['83-72=11', '77/11=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
93,
14,
77,
9
] | 98 |
[
"93-77=16",
"16-9=7",
"14*7=98"
] |
Current State: 98:[93, 14, 77, 9], Operations: []
Exploring Operation: 93-77=16, Resulting Numbers: [14, 9, 16]
Generated Node #2: [14, 9, 16] from Operation: 93-77=16
Current State: 98:[14, 9, 16], Operations: ['93-77=16']
Exploring Operation: 16-9=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 16-9=7
Current State: 98:[14, 7], Operations: ['93-77=16', '16-9=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
38,
54,
24
] | 59 |
[
"38-24=14",
"70/14=5",
"54+5=59"
] |
Current State: 59:[70, 38, 54, 24], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [70, 54, 14]
Generated Node #2: [70, 54, 14] from Operation: 38-24=14
Current State: 59:[70, 54, 14], Operations: ['38-24=14']
Exploring Operation: 70/14=5, Resulting Numbers: [54, 5]
Generated Node #3: [54, 5] from Operation: 70/14=5
Current State: 59:[54, 5], Operations: ['38-24=14', '70/14=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
21,
46,
55,
31
] | 61 |
[
"46-21=25",
"55+31=86",
"86-25=61"
] |
Current State: 61:[21, 46, 55, 31], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [55, 31, 25]
Generated Node #2: [55, 31, 25] from Operation: 46-21=25
Current State: 61:[55, 31, 25], Operations: ['46-21=25']
Exploring Operation: 55+31=86, Resulting Numbers: [25, 86]
Generated Node #3: [25, 86] from Operation: 55+31=86
Current State: 61:[25, 86], Operations: ['46-21=25', '55+31=86']
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
58,
59,
42
] | 35 |
[
"58-6=52",
"59-42=17",
"52-17=35"
] |
Current State: 35:[6, 58, 59, 42], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [59, 42, 52]
Generated Node #2: [59, 42, 52] from Operation: 58-6=52
Current State: 35:[59, 42, 52], Operations: ['58-6=52']
Exploring Operation: 59-42=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 59-42=17
Current State: 35:[52, 17], Operations: ['58-6=52', '59-42=17']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
7,
64,
1
] | 21 |
[
"12*7=84",
"64-1=63",
"84-63=21"
] |
Current State: 21:[12, 7, 64, 1], Operations: []
Exploring Operation: 12*7=84, Resulting Numbers: [64, 1, 84]
Generated Node #2: [64, 1, 84] from Operation: 12*7=84
Current State: 21:[64, 1, 84], Operations: ['12*7=84']
Exploring Operation: 64-1=63, Resulting Numbers: [84, 63]
Generated Node #3: [84, 63] from Operation: 64-1=63
Current State: 21:[84, 63], Operations: ['12*7=84', '64-1=63']
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
11,
10,
25,
87
] | 61 |
[
"11-10=1",
"87-25=62",
"62-1=61"
] |
Current State: 61:[11, 10, 25, 87], Operations: []
Exploring Operation: 11-10=1, Resulting Numbers: [25, 87, 1]
Generated Node #2: [25, 87, 1] from Operation: 11-10=1
Current State: 61:[25, 87, 1], Operations: ['11-10=1']
Exploring Operation: 87-25=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 87-25=62
Current State: 61:[1, 62], Operations: ['11-10=1', '87-25=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
52,
22,
26
] | 16 |
[
"64-52=12",
"26-22=4",
"12+4=16"
] |
Current State: 16:[64, 52, 22, 26], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [22, 26, 12]
Generated Node #2: [22, 26, 12] from Operation: 64-52=12
Current State: 16:[22, 26, 12], Operations: ['64-52=12']
Exploring Operation: 26-22=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 26-22=4
Current State: 16:[12, 4], Operations: ['64-52=12', '26-22=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
33,
28,
28,
2
] | 66 |
[
"33+28=61",
"61-28=33",
"2*33=66"
] |
Current State: 66:[33, 28, 28, 2], Operations: []
Exploring Operation: 33+28=61, Resulting Numbers: [2, 61]
Generated Node #2: [2, 61] from Operation: 33+28=61
Current State: 66:[2, 61], Operations: ['33+28=61']
Exploring Operation: 61-28=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 61-28=33
Current State: 66:[2, 33], Operations: ['33+28=61', '61-28=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
88,
64,
87,
72
] | 98 |
[
"72-64=8",
"88/8=11",
"87+11=98"
] |
Current State: 98:[88, 64, 87, 72], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [88, 87, 8]
Generated Node #2: [88, 87, 8] from Operation: 72-64=8
Current State: 98:[88, 87, 8], Operations: ['72-64=8']
Exploring Operation: 88/8=11, Resulting Numbers: [87, 11]
Generated Node #3: [87, 11] from Operation: 88/8=11
Current State: 98:[87, 11], Operations: ['72-64=8', '88/8=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
34,
50,
68,
52
] | 24 |
[
"68/34=2",
"52/2=26",
"50-26=24"
] |
Current State: 24:[34, 50, 68, 52], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [50, 52, 2]
Generated Node #2: [50, 52, 2] from Operation: 68/34=2
Current State: 24:[50, 52, 2], Operations: ['68/34=2']
Exploring Operation: 52/2=26, Resulting Numbers: [50, 26]
Generated Node #3: [50, 26] from Operation: 52/2=26
Current State: 24:[50, 26], Operations: ['68/34=2', '52/2=26']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
45,
4,
20
] | 25 |
[
"45*4=180",
"20+180=200",
"200/8=25"
] |
Current State: 25:[8, 45, 4, 20], Operations: []
Exploring Operation: 45*4=180, Resulting Numbers: [8, 20, 180]
Generated Node #2: [8, 20, 180] from Operation: 45*4=180
Current State: 25:[8, 20, 180], Operations: ['45*4=180']
Exploring Operation: 20+180=200, Resulting Numbers: [8, 200]
Generated Node #3: [8, 200] from Operation: 20+180=200
Current State: 25:[8, 200], Operations: ['45*4=180', '20+180=200']
Exploring Operation: 200/8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
48,
85,
74,
46
] | 92 |
[
"85-48=37",
"74*46=3404",
"3404/37=92"
] |
Current State: 92:[48, 85, 74, 46], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [74, 46, 37]
Generated Node #2: [74, 46, 37] from Operation: 85-48=37
Current State: 92:[74, 46, 37], Operations: ['85-48=37']
Exploring Operation: 74*46=3404, Resulting Numbers: [37, 3404]
Generated Node #3: [37, 3404] from Operation: 74*46=3404
Current State: 92:[37, 3404], Operations: ['85-48=37', '74*46=3404']
Exploring Operation: 3404/37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
29,
13,
7
] | 85 |
[
"29+7=36",
"2*36=72",
"13+72=85"
] |
Current State: 85:[2, 29, 13, 7], Operations: []
Exploring Operation: 29+7=36, Resulting Numbers: [2, 13, 36]
Generated Node #2: [2, 13, 36] from Operation: 29+7=36
Current State: 85:[2, 13, 36], Operations: ['29+7=36']
Exploring Operation: 2*36=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 2*36=72
Current State: 85:[13, 72], Operations: ['29+7=36', '2*36=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
12,
42,
7,
97
] | 91 |
[
"97-12=85",
"42/7=6",
"85+6=91"
] |
Current State: 91:[12, 42, 7, 97], Operations: []
Exploring Operation: 97-12=85, Resulting Numbers: [42, 7, 85]
Generated Node #2: [42, 7, 85] from Operation: 97-12=85
Current State: 91:[42, 7, 85], Operations: ['97-12=85']
Exploring Operation: 42/7=6, Resulting Numbers: [85, 6]
Generated Node #3: [85, 6] from Operation: 42/7=6
Current State: 91:[85, 6], Operations: ['97-12=85', '42/7=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
94,
95,
99
] | 98 |
[
"2+94=96",
"95+99=194",
"194-96=98"
] |
Current State: 98:[2, 94, 95, 99], Operations: []
Exploring Operation: 2+94=96, Resulting Numbers: [95, 99, 96]
Generated Node #2: [95, 99, 96] from Operation: 2+94=96
Current State: 98:[95, 99, 96], Operations: ['2+94=96']
Exploring Operation: 95+99=194, Resulting Numbers: [96, 194]
Generated Node #3: [96, 194] from Operation: 95+99=194
Current State: 98:[96, 194], Operations: ['2+94=96', '95+99=194']
Exploring Operation: 194-96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
66,
96,
14,
54
] | 17 |
[
"66+96=162",
"162/54=3",
"14+3=17"
] |
Current State: 17:[66, 96, 14, 54], Operations: []
Exploring Operation: 66+96=162, Resulting Numbers: [14, 54, 162]
Generated Node #2: [14, 54, 162] from Operation: 66+96=162
Current State: 17:[14, 54, 162], Operations: ['66+96=162']
Exploring Operation: 162/54=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 162/54=3
Current State: 17:[14, 3], Operations: ['66+96=162', '162/54=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
94,
95,
7
] | 31 |
[
"28+94=122",
"95+122=217",
"217/7=31"
] |
Current State: 31:[28, 94, 95, 7], Operations: []
Exploring Operation: 28+94=122, Resulting Numbers: [95, 7, 122]
Generated Node #2: [95, 7, 122] from Operation: 28+94=122
Current State: 31:[95, 7, 122], Operations: ['28+94=122']
Exploring Operation: 95+122=217, Resulting Numbers: [7, 217]
Generated Node #3: [7, 217] from Operation: 95+122=217
Current State: 31:[7, 217], Operations: ['28+94=122', '95+122=217']
Exploring Operation: 217/7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
18,
20,
50,
55
] | 12 |
[
"18*50=900",
"20+55=75",
"900/75=12"
] |
Current State: 12:[18, 20, 50, 55], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [20, 55, 900]
Generated Node #2: [20, 55, 900] from Operation: 18*50=900
Current State: 12:[20, 55, 900], Operations: ['18*50=900']
Exploring Operation: 20+55=75, Resulting Numbers: [900, 75]
Generated Node #3: [900, 75] from Operation: 20+55=75
Current State: 12:[900, 75], Operations: ['18*50=900', '20+55=75']
Exploring Operation: 900/75=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
40,
20,
5,
58
] | 33 |
[
"40-20=20",
"58-5=53",
"53-20=33"
] |
Current State: 33:[40, 20, 5, 58], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [5, 58, 20]
Generated Node #2: [5, 58, 20] from Operation: 40-20=20
Current State: 33:[5, 58, 20], Operations: ['40-20=20']
Exploring Operation: 58-5=53, Resulting Numbers: [20, 53]
Generated Node #3: [20, 53] from Operation: 58-5=53
Current State: 33:[20, 53], Operations: ['40-20=20', '58-5=53']
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
67,
23,
73,
51
] | 87 |
[
"73-67=6",
"23*6=138",
"138-51=87"
] |
Current State: 87:[67, 23, 73, 51], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [23, 51, 6]
Generated Node #2: [23, 51, 6] from Operation: 73-67=6
Current State: 87:[23, 51, 6], Operations: ['73-67=6']
Exploring Operation: 23*6=138, Resulting Numbers: [51, 138]
Generated Node #3: [51, 138] from Operation: 23*6=138
Current State: 87:[51, 138], Operations: ['73-67=6', '23*6=138']
Exploring Operation: 138-51=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
77,
15,
47,
29
] | 14 |
[
"77-15=62",
"47+29=76",
"76-62=14"
] |
Current State: 14:[77, 15, 47, 29], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [47, 29, 62]
Generated Node #2: [47, 29, 62] from Operation: 77-15=62
Current State: 14:[47, 29, 62], Operations: ['77-15=62']
Exploring Operation: 47+29=76, Resulting Numbers: [62, 76]
Generated Node #3: [62, 76] from Operation: 47+29=76
Current State: 14:[62, 76], Operations: ['77-15=62', '47+29=76']
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
99,
71,
98,
92
] | 85 |
[
"99-92=7",
"98/7=14",
"71+14=85"
] |
Current State: 85:[99, 71, 98, 92], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [71, 98, 7]
Generated Node #2: [71, 98, 7] from Operation: 99-92=7
Current State: 85:[71, 98, 7], Operations: ['99-92=7']
Exploring Operation: 98/7=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 98/7=14
Current State: 85:[71, 14], Operations: ['99-92=7', '98/7=14']
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
27,
2,
36,
66
] | 12 |
[
"66-36=30",
"30/2=15",
"27-15=12"
] |
Current State: 12:[27, 2, 36, 66], Operations: []
Exploring Operation: 66-36=30, Resulting Numbers: [27, 2, 30]
Generated Node #2: [27, 2, 30] from Operation: 66-36=30
Current State: 12:[27, 2, 30], Operations: ['66-36=30']
Exploring Operation: 30/2=15, Resulting Numbers: [27, 15]
Generated Node #3: [27, 15] from Operation: 30/2=15
Current State: 12:[27, 15], Operations: ['66-36=30', '30/2=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
47,
63,
64,
59
] | 22 |
[
"47+63=110",
"64-59=5",
"110/5=22"
] |
Current State: 22:[47, 63, 64, 59], Operations: []
Exploring Operation: 47+63=110, Resulting Numbers: [64, 59, 110]
Generated Node #2: [64, 59, 110] from Operation: 47+63=110
Current State: 22:[64, 59, 110], Operations: ['47+63=110']
Exploring Operation: 64-59=5, Resulting Numbers: [110, 5]
Generated Node #3: [110, 5] from Operation: 64-59=5
Current State: 22:[110, 5], Operations: ['47+63=110', '64-59=5']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
66,
84,
94,
90
] | 45 |
[
"94-90=4",
"84/4=21",
"66-21=45"
] |
Current State: 45:[66, 84, 94, 90], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [66, 84, 4]
Generated Node #2: [66, 84, 4] from Operation: 94-90=4
Current State: 45:[66, 84, 4], Operations: ['94-90=4']
Exploring Operation: 84/4=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 84/4=21
Current State: 45:[66, 21], Operations: ['94-90=4', '84/4=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
67,
25,
17,
44
] | 34 |
[
"67-25=42",
"44-42=2",
"17*2=34"
] |
Current State: 34:[67, 25, 17, 44], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [17, 44, 42]
Generated Node #2: [17, 44, 42] from Operation: 67-25=42
Current State: 34:[17, 44, 42], Operations: ['67-25=42']
Exploring Operation: 44-42=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 44-42=2
Current State: 34:[17, 2], Operations: ['67-25=42', '44-42=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
60,
9,
26,
2
] | 65 |
[
"60/2=30",
"9+26=35",
"30+35=65"
] |
Current State: 65:[60, 9, 26, 2], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [9, 26, 30]
Generated Node #2: [9, 26, 30] from Operation: 60/2=30
Current State: 65:[9, 26, 30], Operations: ['60/2=30']
Exploring Operation: 9+26=35, Resulting Numbers: [30, 35]
Generated Node #3: [30, 35] from Operation: 9+26=35
Current State: 65:[30, 35], Operations: ['60/2=30', '9+26=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
24,
62,
18
] | 64 |
[
"62+18=80",
"80/2=40",
"24+40=64"
] |
Current State: 64:[2, 24, 62, 18], Operations: []
Exploring Operation: 62+18=80, Resulting Numbers: [2, 24, 80]
Generated Node #2: [2, 24, 80] from Operation: 62+18=80
Current State: 64:[2, 24, 80], Operations: ['62+18=80']
Exploring Operation: 80/2=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 80/2=40
Current State: 64:[24, 40], Operations: ['62+18=80', '80/2=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
97,
11,
23
] | 14 |
[
"97+23=120",
"120/40=3",
"11+3=14"
] |
Current State: 14:[40, 97, 11, 23], Operations: []
Exploring Operation: 97+23=120, Resulting Numbers: [40, 11, 120]
Generated Node #2: [40, 11, 120] from Operation: 97+23=120
Current State: 14:[40, 11, 120], Operations: ['97+23=120']
Exploring Operation: 120/40=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 120/40=3
Current State: 14:[11, 3], Operations: ['97+23=120', '120/40=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
10,
95,
14,
62
] | 17 |
[
"10*14=140",
"95+62=157",
"157-140=17"
] |
Current State: 17:[10, 95, 14, 62], Operations: []
Exploring Operation: 10*14=140, Resulting Numbers: [95, 62, 140]
Generated Node #2: [95, 62, 140] from Operation: 10*14=140
Current State: 17:[95, 62, 140], Operations: ['10*14=140']
Exploring Operation: 95+62=157, Resulting Numbers: [140, 157]
Generated Node #3: [140, 157] from Operation: 95+62=157
Current State: 17:[140, 157], Operations: ['10*14=140', '95+62=157']
Exploring Operation: 157-140=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
8,
41,
17,
46
] | 51 |
[
"8+41=49",
"49-46=3",
"17*3=51"
] |
Current State: 51:[8, 41, 17, 46], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [17, 46, 49]
Generated Node #2: [17, 46, 49] from Operation: 8+41=49
Current State: 51:[17, 46, 49], Operations: ['8+41=49']
Exploring Operation: 49-46=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 49-46=3
Current State: 51:[17, 3], Operations: ['8+41=49', '49-46=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
44,
90,
64,
65
] | 47 |
[
"90-44=46",
"65-64=1",
"46+1=47"
] |
Current State: 47:[44, 90, 64, 65], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [64, 65, 46]
Generated Node #2: [64, 65, 46] from Operation: 90-44=46
Current State: 47:[64, 65, 46], Operations: ['90-44=46']
Exploring Operation: 65-64=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 65-64=1
Current State: 47:[46, 1], Operations: ['90-44=46', '65-64=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
77,
5,
40
] | 84 |
[
"56*5=280",
"280/40=7",
"77+7=84"
] |
Current State: 84:[56, 77, 5, 40], Operations: []
Exploring Operation: 56*5=280, Resulting Numbers: [77, 40, 280]
Generated Node #2: [77, 40, 280] from Operation: 56*5=280
Current State: 84:[77, 40, 280], Operations: ['56*5=280']
Exploring Operation: 280/40=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 280/40=7
Current State: 84:[77, 7], Operations: ['56*5=280', '280/40=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
34,
13,
98
] | 73 |
[
"4+34=38",
"13+98=111",
"111-38=73"
] |
Current State: 73:[4, 34, 13, 98], Operations: []
Exploring Operation: 4+34=38, Resulting Numbers: [13, 98, 38]
Generated Node #2: [13, 98, 38] from Operation: 4+34=38
Current State: 73:[13, 98, 38], Operations: ['4+34=38']
Exploring Operation: 13+98=111, Resulting Numbers: [38, 111]
Generated Node #3: [38, 111] from Operation: 13+98=111
Current State: 73:[38, 111], Operations: ['4+34=38', '13+98=111']
Exploring Operation: 111-38=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
23,
44,
2,
77
] | 57 |
[
"23+44=67",
"2*67=134",
"134-77=57"
] |
Current State: 57:[23, 44, 2, 77], Operations: []
Exploring Operation: 23+44=67, Resulting Numbers: [2, 77, 67]
Generated Node #2: [2, 77, 67] from Operation: 23+44=67
Current State: 57:[2, 77, 67], Operations: ['23+44=67']
Exploring Operation: 2*67=134, Resulting Numbers: [77, 134]
Generated Node #3: [77, 134] from Operation: 2*67=134
Current State: 57:[77, 134], Operations: ['23+44=67', '2*67=134']
Exploring Operation: 134-77=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
56,
17,
31
] | 22 |
[
"31-17=14",
"56/14=4",
"18+4=22"
] |
Current State: 22:[18, 56, 17, 31], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [18, 56, 14]
Generated Node #2: [18, 56, 14] from Operation: 31-17=14
Current State: 22:[18, 56, 14], Operations: ['31-17=14']
Exploring Operation: 56/14=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 56/14=4
Current State: 22:[18, 4], Operations: ['31-17=14', '56/14=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
7,
81,
6,
10
] | 83 |
[
"10-7=3",
"6/3=2",
"81+2=83"
] |
Current State: 83:[7, 81, 6, 10], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [81, 6, 3]
Generated Node #2: [81, 6, 3] from Operation: 10-7=3
Current State: 83:[81, 6, 3], Operations: ['10-7=3']
Exploring Operation: 6/3=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 6/3=2
Current State: 83:[81, 2], Operations: ['10-7=3', '6/3=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
51,
37,
35
] | 45 |
[
"18*35=630",
"51-37=14",
"630/14=45"
] |
Current State: 45:[18, 51, 37, 35], Operations: []
Exploring Operation: 18*35=630, Resulting Numbers: [51, 37, 630]
Generated Node #2: [51, 37, 630] from Operation: 18*35=630
Current State: 45:[51, 37, 630], Operations: ['18*35=630']
Exploring Operation: 51-37=14, Resulting Numbers: [630, 14]
Generated Node #3: [630, 14] from Operation: 51-37=14
Current State: 45:[630, 14], Operations: ['18*35=630', '51-37=14']
Exploring Operation: 630/14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
39,
18,
47,
59
] | 26 |
[
"59-47=12",
"39*12=468",
"468/18=26"
] |
Current State: 26:[39, 18, 47, 59], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [39, 18, 12]
Generated Node #2: [39, 18, 12] from Operation: 59-47=12
Current State: 26:[39, 18, 12], Operations: ['59-47=12']
Exploring Operation: 39*12=468, Resulting Numbers: [18, 468]
Generated Node #3: [18, 468] from Operation: 39*12=468
Current State: 26:[18, 468], Operations: ['59-47=12', '39*12=468']
Exploring Operation: 468/18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
38,
77,
64,
73
] | 30 |
[
"77-38=39",
"73-64=9",
"39-9=30"
] |
Current State: 30:[38, 77, 64, 73], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [64, 73, 39]
Generated Node #2: [64, 73, 39] from Operation: 77-38=39
Current State: 30:[64, 73, 39], Operations: ['77-38=39']
Exploring Operation: 73-64=9, Resulting Numbers: [39, 9]
Generated Node #3: [39, 9] from Operation: 73-64=9
Current State: 30:[39, 9], Operations: ['77-38=39', '73-64=9']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
3,
65,
41
] | 26 |
[
"65-41=24",
"3*24=72",
"98-72=26"
] |
Current State: 26:[98, 3, 65, 41], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [98, 3, 24]
Generated Node #2: [98, 3, 24] from Operation: 65-41=24
Current State: 26:[98, 3, 24], Operations: ['65-41=24']
Exploring Operation: 3*24=72, Resulting Numbers: [98, 72]
Generated Node #3: [98, 72] from Operation: 3*24=72
Current State: 26:[98, 72], Operations: ['65-41=24', '3*24=72']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
41,
84,
48,
77
] | 82 |
[
"84-41=43",
"48+77=125",
"125-43=82"
] |
Current State: 82:[41, 84, 48, 77], Operations: []
Exploring Operation: 84-41=43, Resulting Numbers: [48, 77, 43]
Generated Node #2: [48, 77, 43] from Operation: 84-41=43
Current State: 82:[48, 77, 43], Operations: ['84-41=43']
Exploring Operation: 48+77=125, Resulting Numbers: [43, 125]
Generated Node #3: [43, 125] from Operation: 48+77=125
Current State: 82:[43, 125], Operations: ['84-41=43', '48+77=125']
Exploring Operation: 125-43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
96,
10,
33
] | 49 |
[
"96-4=92",
"10+33=43",
"92-43=49"
] |
Current State: 49:[4, 96, 10, 33], Operations: []
Exploring Operation: 96-4=92, Resulting Numbers: [10, 33, 92]
Generated Node #2: [10, 33, 92] from Operation: 96-4=92
Current State: 49:[10, 33, 92], Operations: ['96-4=92']
Exploring Operation: 10+33=43, Resulting Numbers: [92, 43]
Generated Node #3: [92, 43] from Operation: 10+33=43
Current State: 49:[92, 43], Operations: ['96-4=92', '10+33=43']
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
61,
36,
21
] | 90 |
[
"21/3=7",
"61+36=97",
"97-7=90"
] |
Current State: 90:[3, 61, 36, 21], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [61, 36, 7]
Generated Node #2: [61, 36, 7] from Operation: 21/3=7
Current State: 90:[61, 36, 7], Operations: ['21/3=7']
Exploring Operation: 61+36=97, Resulting Numbers: [7, 97]
Generated Node #3: [7, 97] from Operation: 61+36=97
Current State: 90:[7, 97], Operations: ['21/3=7', '61+36=97']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
55,
81,
34,
30
] | 34 |
[
"55+81=136",
"34-30=4",
"136/4=34"
] |
Current State: 34:[55, 81, 34, 30], Operations: []
Exploring Operation: 55+81=136, Resulting Numbers: [34, 30, 136]
Generated Node #2: [34, 30, 136] from Operation: 55+81=136
Current State: 34:[34, 30, 136], Operations: ['55+81=136']
Exploring Operation: 34-30=4, Resulting Numbers: [136, 4]
Generated Node #3: [136, 4] from Operation: 34-30=4
Current State: 34:[136, 4], Operations: ['55+81=136', '34-30=4']
Exploring Operation: 136/4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
22,
23,
52,
88
] | 71 |
[
"88/22=4",
"23+52=75",
"75-4=71"
] |
Current State: 71:[22, 23, 52, 88], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [23, 52, 4]
Generated Node #2: [23, 52, 4] from Operation: 88/22=4
Current State: 71:[23, 52, 4], Operations: ['88/22=4']
Exploring Operation: 23+52=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 23+52=75
Current State: 71:[4, 75], Operations: ['88/22=4', '23+52=75']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
38,
18,
32,
65
] | 77 |
[
"38-18=20",
"32+65=97",
"97-20=77"
] |
Current State: 77:[38, 18, 32, 65], Operations: []
Exploring Operation: 38-18=20, Resulting Numbers: [32, 65, 20]
Generated Node #2: [32, 65, 20] from Operation: 38-18=20
Current State: 77:[32, 65, 20], Operations: ['38-18=20']
Exploring Operation: 32+65=97, Resulting Numbers: [20, 97]
Generated Node #3: [20, 97] from Operation: 32+65=97
Current State: 77:[20, 97], Operations: ['38-18=20', '32+65=97']
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
10,
56,
69,
47
] | 82 |
[
"56*69=3864",
"3864-10=3854",
"3854/47=82"
] |
Current State: 82:[10, 56, 69, 47], Operations: []
Exploring Operation: 56*69=3864, Resulting Numbers: [10, 47, 3864]
Generated Node #2: [10, 47, 3864] from Operation: 56*69=3864
Current State: 82:[10, 47, 3864], Operations: ['56*69=3864']
Exploring Operation: 3864-10=3854, Resulting Numbers: [47, 3854]
Generated Node #3: [47, 3854] from Operation: 3864-10=3854
Current State: 82:[47, 3854], Operations: ['56*69=3864', '3864-10=3854']
Exploring Operation: 3854/47=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
66,
31,
27
] | 74 |
[
"12+66=78",
"31-27=4",
"78-4=74"
] |
Current State: 74:[12, 66, 31, 27], Operations: []
Exploring Operation: 12+66=78, Resulting Numbers: [31, 27, 78]
Generated Node #2: [31, 27, 78] from Operation: 12+66=78
Current State: 74:[31, 27, 78], Operations: ['12+66=78']
Exploring Operation: 31-27=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 31-27=4
Current State: 74:[78, 4], Operations: ['12+66=78', '31-27=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
51,
12,
95,
44
] | 100 |
[
"51-12=39",
"95+44=139",
"139-39=100"
] |
Current State: 100:[51, 12, 95, 44], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [95, 44, 39]
Generated Node #2: [95, 44, 39] from Operation: 51-12=39
Current State: 100:[95, 44, 39], Operations: ['51-12=39']
Exploring Operation: 95+44=139, Resulting Numbers: [39, 139]
Generated Node #3: [39, 139] from Operation: 95+44=139
Current State: 100:[39, 139], Operations: ['51-12=39', '95+44=139']
Exploring Operation: 139-39=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
48,
14,
12,
95
] | 45 |
[
"48+14=62",
"12+95=107",
"107-62=45"
] |
Current State: 45:[48, 14, 12, 95], Operations: []
Exploring Operation: 48+14=62, Resulting Numbers: [12, 95, 62]
Generated Node #2: [12, 95, 62] from Operation: 48+14=62
Current State: 45:[12, 95, 62], Operations: ['48+14=62']
Exploring Operation: 12+95=107, Resulting Numbers: [62, 107]
Generated Node #3: [62, 107] from Operation: 12+95=107
Current State: 45:[62, 107], Operations: ['48+14=62', '12+95=107']
Exploring Operation: 107-62=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
46,
60,
18,
93
] | 31 |
[
"46+60=106",
"93-18=75",
"106-75=31"
] |
Current State: 31:[46, 60, 18, 93], Operations: []
Exploring Operation: 46+60=106, Resulting Numbers: [18, 93, 106]
Generated Node #2: [18, 93, 106] from Operation: 46+60=106
Current State: 31:[18, 93, 106], Operations: ['46+60=106']
Exploring Operation: 93-18=75, Resulting Numbers: [106, 75]
Generated Node #3: [106, 75] from Operation: 93-18=75
Current State: 31:[106, 75], Operations: ['46+60=106', '93-18=75']
Exploring Operation: 106-75=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
84,
33,
82,
28
] | 38 |
[
"84-82=2",
"33*2=66",
"66-28=38"
] |
Current State: 38:[84, 33, 82, 28], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [33, 28, 2]
Generated Node #2: [33, 28, 2] from Operation: 84-82=2
Current State: 38:[33, 28, 2], Operations: ['84-82=2']
Exploring Operation: 33*2=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 33*2=66
Current State: 38:[28, 66], Operations: ['84-82=2', '33*2=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
73,
22,
50,
79
] | 79 |
[
"73-22=51",
"51-50=1",
"79*1=79"
] |
Current State: 79:[73, 22, 50, 79], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [50, 79, 51]
Generated Node #2: [50, 79, 51] from Operation: 73-22=51
Current State: 79:[50, 79, 51], Operations: ['73-22=51']
Exploring Operation: 51-50=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 51-50=1
Current State: 79:[79, 1], Operations: ['73-22=51', '51-50=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
12,
39,
6,
36
] | 54 |
[
"39-12=27",
"36-27=9",
"6*9=54"
] |
Current State: 54:[12, 39, 6, 36], Operations: []
Exploring Operation: 39-12=27, Resulting Numbers: [6, 36, 27]
Generated Node #2: [6, 36, 27] from Operation: 39-12=27
Current State: 54:[6, 36, 27], Operations: ['39-12=27']
Exploring Operation: 36-27=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 36-27=9
Current State: 54:[6, 9], Operations: ['39-12=27', '36-27=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
55,
62,
8,
94
] | 38 |
[
"62-55=7",
"8*7=56",
"94-56=38"
] |
Current State: 38:[55, 62, 8, 94], Operations: []
Exploring Operation: 62-55=7, Resulting Numbers: [8, 94, 7]
Generated Node #2: [8, 94, 7] from Operation: 62-55=7
Current State: 38:[8, 94, 7], Operations: ['62-55=7']
Exploring Operation: 8*7=56, Resulting Numbers: [94, 56]
Generated Node #3: [94, 56] from Operation: 8*7=56
Current State: 38:[94, 56], Operations: ['62-55=7', '8*7=56']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
27,
78,
91
] | 63 |
[
"27+27=54",
"91*54=4914",
"4914/78=63"
] |
Current State: 63:[27, 27, 78, 91], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [78, 91, 54]
Generated Node #2: [78, 91, 54] from Operation: 27+27=54
Current State: 63:[78, 91, 54], Operations: ['27+27=54']
Exploring Operation: 91*54=4914, Resulting Numbers: [78, 4914]
Generated Node #3: [78, 4914] from Operation: 91*54=4914
Current State: 63:[78, 4914], Operations: ['27+27=54', '91*54=4914']
Exploring Operation: 4914/78=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
27,
63,
20,
1
] | 10 |
[
"27-20=7",
"63/7=9",
"1+9=10"
] |
Current State: 10:[27, 63, 20, 1], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [63, 1, 7]
Generated Node #2: [63, 1, 7] from Operation: 27-20=7
Current State: 10:[63, 1, 7], Operations: ['27-20=7']
Exploring Operation: 63/7=9, Resulting Numbers: [1, 9]
Generated Node #3: [1, 9] from Operation: 63/7=9
Current State: 10:[1, 9], Operations: ['27-20=7', '63/7=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
64,
67,
71,
3
] | 70 |
[
"67-64=3",
"3/3=1",
"71-1=70"
] |
Current State: 70:[64, 67, 71, 3], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [71, 3, 3]
Generated Node #2: [71, 3, 3] from Operation: 67-64=3
Current State: 70:[71, 3, 3], Operations: ['67-64=3']
Exploring Operation: 3/3=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 3/3=1
Current State: 70:[71, 1], Operations: ['67-64=3', '3/3=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
36,
12,
75,
84
] | 85 |
[
"36+84=120",
"120/12=10",
"75+10=85"
] |
Current State: 85:[36, 12, 75, 84], Operations: []
Exploring Operation: 36+84=120, Resulting Numbers: [12, 75, 120]
Generated Node #2: [12, 75, 120] from Operation: 36+84=120
Current State: 85:[12, 75, 120], Operations: ['36+84=120']
Exploring Operation: 120/12=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 120/12=10
Current State: 85:[75, 10], Operations: ['36+84=120', '120/12=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
50,
58,
35,
66
] | 37 |
[
"50+66=116",
"116/58=2",
"35+2=37"
] |
Current State: 37:[50, 58, 35, 66], Operations: []
Exploring Operation: 50+66=116, Resulting Numbers: [58, 35, 116]
Generated Node #2: [58, 35, 116] from Operation: 50+66=116
Current State: 37:[58, 35, 116], Operations: ['50+66=116']
Exploring Operation: 116/58=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 116/58=2
Current State: 37:[35, 2], Operations: ['50+66=116', '116/58=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
62,
6,
25,
7
] | 88 |
[
"62-6=56",
"25+7=32",
"56+32=88"
] |
Current State: 88:[62, 6, 25, 7], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [25, 7, 56]
Generated Node #2: [25, 7, 56] from Operation: 62-6=56
Current State: 88:[25, 7, 56], Operations: ['62-6=56']
Exploring Operation: 25+7=32, Resulting Numbers: [56, 32]
Generated Node #3: [56, 32] from Operation: 25+7=32
Current State: 88:[56, 32], Operations: ['62-6=56', '25+7=32']
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
48,
99,
2,
16
] | 83 |
[
"99-48=51",
"2*16=32",
"51+32=83"
] |
Current State: 83:[48, 99, 2, 16], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [2, 16, 51]
Generated Node #2: [2, 16, 51] from Operation: 99-48=51
Current State: 83:[2, 16, 51], Operations: ['99-48=51']
Exploring Operation: 2*16=32, Resulting Numbers: [51, 32]
Generated Node #3: [51, 32] from Operation: 2*16=32
Current State: 83:[51, 32], Operations: ['99-48=51', '2*16=32']
Exploring Operation: 51+32=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
45,
56,
44
] | 43 |
[
"10+45=55",
"56-44=12",
"55-12=43"
] |
Current State: 43:[10, 45, 56, 44], Operations: []
Exploring Operation: 10+45=55, Resulting Numbers: [56, 44, 55]
Generated Node #2: [56, 44, 55] from Operation: 10+45=55
Current State: 43:[56, 44, 55], Operations: ['10+45=55']
Exploring Operation: 56-44=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 56-44=12
Current State: 43:[55, 12], Operations: ['10+45=55', '56-44=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
14,
36,
46
] | 48 |
[
"4+14=18",
"36/18=2",
"46+2=48"
] |
Current State: 48:[4, 14, 36, 46], Operations: []
Exploring Operation: 4+14=18, Resulting Numbers: [36, 46, 18]
Generated Node #2: [36, 46, 18] from Operation: 4+14=18
Current State: 48:[36, 46, 18], Operations: ['4+14=18']
Exploring Operation: 36/18=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 36/18=2
Current State: 48:[46, 2], Operations: ['4+14=18', '36/18=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
55,
86,
55,
10
] | 97 |
[
"55+55=110",
"110/10=11",
"86+11=97"
] |
Current State: 97:[55, 86, 55, 10], Operations: []
Exploring Operation: 55+55=110, Resulting Numbers: [86, 10, 110]
Generated Node #2: [86, 10, 110] from Operation: 55+55=110
Current State: 97:[86, 10, 110], Operations: ['55+55=110']
Exploring Operation: 110/10=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 110/10=11
Current State: 97:[86, 11], Operations: ['55+55=110', '110/10=11']
Exploring Operation: 86+11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
13,
88,
33
] | 82 |
[
"40-13=27",
"88-33=55",
"27+55=82"
] |
Current State: 82:[40, 13, 88, 33], Operations: []
Exploring Operation: 40-13=27, Resulting Numbers: [88, 33, 27]
Generated Node #2: [88, 33, 27] from Operation: 40-13=27
Current State: 82:[88, 33, 27], Operations: ['40-13=27']
Exploring Operation: 88-33=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 88-33=55
Current State: 82:[27, 55], Operations: ['40-13=27', '88-33=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
26,
45,
71,
26
] | 78 |
[
"45-26=19",
"71+26=97",
"97-19=78"
] |
Current State: 78:[26, 45, 71, 26], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [71, 19]
Generated Node #2: [71, 19] from Operation: 45-26=19
Current State: 78:[71, 19], Operations: ['45-26=19']
Exploring Operation: 71+26=97, Resulting Numbers: [19, 97]
Generated Node #3: [19, 97] from Operation: 71+26=97
Current State: 78:[19, 97], Operations: ['45-26=19', '71+26=97']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
53,
56,
10,
92
] | 85 |
[
"56-53=3",
"92-10=82",
"3+82=85"
] |
Current State: 85:[53, 56, 10, 92], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [10, 92, 3]
Generated Node #2: [10, 92, 3] from Operation: 56-53=3
Current State: 85:[10, 92, 3], Operations: ['56-53=3']
Exploring Operation: 92-10=82, Resulting Numbers: [3, 82]
Generated Node #3: [3, 82] from Operation: 92-10=82
Current State: 85:[3, 82], Operations: ['56-53=3', '92-10=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
37,
63,
71
] | 98 |
[
"73-37=36",
"63+71=134",
"134-36=98"
] |
Current State: 98:[73, 37, 63, 71], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [63, 71, 36]
Generated Node #2: [63, 71, 36] from Operation: 73-37=36
Current State: 98:[63, 71, 36], Operations: ['73-37=36']
Exploring Operation: 63+71=134, Resulting Numbers: [36, 134]
Generated Node #3: [36, 134] from Operation: 63+71=134
Current State: 98:[36, 134], Operations: ['73-37=36', '63+71=134']
Exploring Operation: 134-36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
64,
80,
47,
13
] | 18 |
[
"80-64=16",
"47-13=34",
"34-16=18"
] |
Current State: 18:[64, 80, 47, 13], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [47, 13, 16]
Generated Node #2: [47, 13, 16] from Operation: 80-64=16
Current State: 18:[47, 13, 16], Operations: ['80-64=16']
Exploring Operation: 47-13=34, Resulting Numbers: [16, 34]
Generated Node #3: [16, 34] from Operation: 47-13=34
Current State: 18:[16, 34], Operations: ['80-64=16', '47-13=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
72,
77,
24,
10
] | 11 |
[
"72/24=3",
"10-3=7",
"77/7=11"
] |
Current State: 11:[72, 77, 24, 10], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [77, 10, 3]
Generated Node #2: [77, 10, 3] from Operation: 72/24=3
Current State: 11:[77, 10, 3], Operations: ['72/24=3']
Exploring Operation: 10-3=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 10-3=7
Current State: 11:[77, 7], Operations: ['72/24=3', '10-3=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
35,
2,
6
] | 19 |
[
"35-8=27",
"2+6=8",
"27-8=19"
] |
Current State: 19:[8, 35, 2, 6], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [2, 6, 27]
Generated Node #2: [2, 6, 27] from Operation: 35-8=27
Current State: 19:[2, 6, 27], Operations: ['35-8=27']
Exploring Operation: 2+6=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 2+6=8
Current State: 19:[27, 8], Operations: ['35-8=27', '2+6=8']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
69,
80,
2,
18
] | 40 |
[
"80-69=11",
"2*11=22",
"18+22=40"
] |
Current State: 40:[69, 80, 2, 18], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [2, 18, 11]
Generated Node #2: [2, 18, 11] from Operation: 80-69=11
Current State: 40:[2, 18, 11], Operations: ['80-69=11']
Exploring Operation: 2*11=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 2*11=22
Current State: 40:[18, 22], Operations: ['80-69=11', '2*11=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
7,
70,
36,
33
] | 21 |
[
"70-7=63",
"36-33=3",
"63/3=21"
] |
Current State: 21:[7, 70, 36, 33], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [36, 33, 63]
Generated Node #2: [36, 33, 63] from Operation: 70-7=63
Current State: 21:[36, 33, 63], Operations: ['70-7=63']
Exploring Operation: 36-33=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 36-33=3
Current State: 21:[63, 3], Operations: ['70-7=63', '36-33=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
50,
13,
95,
6
] | 33 |
[
"95-50=45",
"13*6=78",
"78-45=33"
] |
Current State: 33:[50, 13, 95, 6], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [13, 6, 45]
Generated Node #2: [13, 6, 45] from Operation: 95-50=45
Current State: 33:[13, 6, 45], Operations: ['95-50=45']
Exploring Operation: 13*6=78, Resulting Numbers: [45, 78]
Generated Node #3: [45, 78] from Operation: 13*6=78
Current State: 33:[45, 78], Operations: ['95-50=45', '13*6=78']
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
41,
10,
20,
51
] | 12 |
[
"51-41=10",
"20/10=2",
"10+2=12"
] |
Current State: 12:[41, 10, 20, 51], Operations: []
Exploring Operation: 51-41=10, Resulting Numbers: [10, 20, 10]
Generated Node #2: [10, 20, 10] from Operation: 51-41=10
Current State: 12:[10, 20, 10], Operations: ['51-41=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,12 equal: Goal Reached
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
52,
81,
85
] | 72 |
[
"16+52=68",
"85-81=4",
"68+4=72"
] |
Current State: 72:[16, 52, 81, 85], Operations: []
Exploring Operation: 16+52=68, Resulting Numbers: [81, 85, 68]
Generated Node #2: [81, 85, 68] from Operation: 16+52=68
Current State: 72:[81, 85, 68], Operations: ['16+52=68']
Exploring Operation: 85-81=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 85-81=4
Current State: 72:[68, 4], Operations: ['16+52=68', '85-81=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
33,
93,
47,
97
] | 85 |
[
"97-93=4",
"33*4=132",
"132-47=85"
] |
Current State: 85:[33, 93, 47, 97], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [33, 47, 4]
Generated Node #2: [33, 47, 4] from Operation: 97-93=4
Current State: 85:[33, 47, 4], Operations: ['97-93=4']
Exploring Operation: 33*4=132, Resulting Numbers: [47, 132]
Generated Node #3: [47, 132] from Operation: 33*4=132
Current State: 85:[47, 132], Operations: ['97-93=4', '33*4=132']
Exploring Operation: 132-47=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
50,
47,
93
] | 66 |
[
"93/3=31",
"50+47=97",
"97-31=66"
] |
Current State: 66:[3, 50, 47, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [50, 47, 31]
Generated Node #2: [50, 47, 31] from Operation: 93/3=31
Current State: 66:[50, 47, 31], Operations: ['93/3=31']
Exploring Operation: 50+47=97, Resulting Numbers: [31, 97]
Generated Node #3: [31, 97] from Operation: 50+47=97
Current State: 66:[31, 97], Operations: ['93/3=31', '50+47=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
43,
86,
41,
49
] | 92 |
[
"86/43=2",
"41+49=90",
"2+90=92"
] |
Current State: 92:[43, 86, 41, 49], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [41, 49, 2]
Generated Node #2: [41, 49, 2] from Operation: 86/43=2
Current State: 92:[41, 49, 2], Operations: ['86/43=2']
Exploring Operation: 41+49=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 41+49=90
Current State: 92:[2, 90], Operations: ['86/43=2', '41+49=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
70,
3,
45,
32
] | 86 |
[
"70+3=73",
"45-32=13",
"73+13=86"
] |
Current State: 86:[70, 3, 45, 32], Operations: []
Exploring Operation: 70+3=73, Resulting Numbers: [45, 32, 73]
Generated Node #2: [45, 32, 73] from Operation: 70+3=73
Current State: 86:[45, 32, 73], Operations: ['70+3=73']
Exploring Operation: 45-32=13, Resulting Numbers: [73, 13]
Generated Node #3: [73, 13] from Operation: 45-32=13
Current State: 86:[73, 13], Operations: ['70+3=73', '45-32=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
42,
68,
58,
13
] | 34 |
[
"42-13=29",
"68*29=1972",
"1972/58=34"
] |
Current State: 34:[42, 68, 58, 13], Operations: []
Exploring Operation: 42-13=29, Resulting Numbers: [68, 58, 29]
Generated Node #2: [68, 58, 29] from Operation: 42-13=29
Current State: 34:[68, 58, 29], Operations: ['42-13=29']
Exploring Operation: 68*29=1972, Resulting Numbers: [58, 1972]
Generated Node #3: [58, 1972] from Operation: 68*29=1972
Current State: 34:[58, 1972], Operations: ['42-13=29', '68*29=1972']
Exploring Operation: 1972/58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
94,
59,
98,
37
] | 47 |
[
"98-59=39",
"39-37=2",
"94/2=47"
] |
Current State: 47:[94, 59, 98, 37], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [94, 37, 39]
Generated Node #2: [94, 37, 39] from Operation: 98-59=39
Current State: 47:[94, 37, 39], Operations: ['98-59=39']
Exploring Operation: 39-37=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 39-37=2
Current State: 47:[94, 2], Operations: ['98-59=39', '39-37=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
15,
86,
29,
58
] | 56 |
[
"15*58=870",
"870/29=30",
"86-30=56"
] |
Current State: 56:[15, 86, 29, 58], Operations: []
Exploring Operation: 15*58=870, Resulting Numbers: [86, 29, 870]
Generated Node #2: [86, 29, 870] from Operation: 15*58=870
Current State: 56:[86, 29, 870], Operations: ['15*58=870']
Exploring Operation: 870/29=30, Resulting Numbers: [86, 30]
Generated Node #3: [86, 30] from Operation: 870/29=30
Current State: 56:[86, 30], Operations: ['15*58=870', '870/29=30']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
83,
19,
32,
24
] | 26 |
[
"83-19=64",
"64/32=2",
"24+2=26"
] |
Current State: 26:[83, 19, 32, 24], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [32, 24, 64]
Generated Node #2: [32, 24, 64] from Operation: 83-19=64
Current State: 26:[32, 24, 64], Operations: ['83-19=64']
Exploring Operation: 64/32=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 64/32=2
Current State: 26:[24, 2], Operations: ['83-19=64', '64/32=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
59,
11,
33,
9
] | 32 |
[
"33/11=3",
"9*3=27",
"59-27=32"
] |
Current State: 32:[59, 11, 33, 9], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [59, 9, 3]
Generated Node #2: [59, 9, 3] from Operation: 33/11=3
Current State: 32:[59, 9, 3], Operations: ['33/11=3']
Exploring Operation: 9*3=27, Resulting Numbers: [59, 27]
Generated Node #3: [59, 27] from Operation: 9*3=27
Current State: 32:[59, 27], Operations: ['33/11=3', '9*3=27']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
76,
16,
30,
36
] | 75 |
[
"76-36=40",
"30*40=1200",
"1200/16=75"
] |
Current State: 75:[76, 16, 30, 36], Operations: []
Exploring Operation: 76-36=40, Resulting Numbers: [16, 30, 40]
Generated Node #2: [16, 30, 40] from Operation: 76-36=40
Current State: 75:[16, 30, 40], Operations: ['76-36=40']
Exploring Operation: 30*40=1200, Resulting Numbers: [16, 1200]
Generated Node #3: [16, 1200] from Operation: 30*40=1200
Current State: 75:[16, 1200], Operations: ['76-36=40', '30*40=1200']
Exploring Operation: 1200/16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
67,
43,
7,
51
] | 20 |
[
"67-43=24",
"51-7=44",
"44-24=20"
] |
Current State: 20:[67, 43, 7, 51], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [7, 51, 24]
Generated Node #2: [7, 51, 24] from Operation: 67-43=24
Current State: 20:[7, 51, 24], Operations: ['67-43=24']
Exploring Operation: 51-7=44, Resulting Numbers: [24, 44]
Generated Node #3: [24, 44] from Operation: 51-7=44
Current State: 20:[24, 44], Operations: ['67-43=24', '51-7=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
15,
16,
80,
35
] | 25 |
[
"35-15=20",
"80/16=5",
"20+5=25"
] |
Current State: 25:[15, 16, 80, 35], Operations: []
Exploring Operation: 35-15=20, Resulting Numbers: [16, 80, 20]
Generated Node #2: [16, 80, 20] from Operation: 35-15=20
Current State: 25:[16, 80, 20], Operations: ['35-15=20']
Exploring Operation: 80/16=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 80/16=5
Current State: 25:[20, 5], Operations: ['35-15=20', '80/16=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
80,
52,
87,
2
] | 33 |
[
"87-80=7",
"52/2=26",
"7+26=33"
] |
Current State: 33:[80, 52, 87, 2], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [52, 2, 7]
Generated Node #2: [52, 2, 7] from Operation: 87-80=7
Current State: 33:[52, 2, 7], Operations: ['87-80=7']
Exploring Operation: 52/2=26, Resulting Numbers: [7, 26]
Generated Node #3: [7, 26] from Operation: 52/2=26
Current State: 33:[7, 26], Operations: ['87-80=7', '52/2=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
75,
25,
14,
77
] | 60 |
[
"75/25=3",
"77-14=63",
"63-3=60"
] |
Current State: 60:[75, 25, 14, 77], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [14, 77, 3]
Generated Node #2: [14, 77, 3] from Operation: 75/25=3
Current State: 60:[14, 77, 3], Operations: ['75/25=3']
Exploring Operation: 77-14=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 77-14=63
Current State: 60:[3, 63], Operations: ['75/25=3', '77-14=63']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
98,
1,
77,
86
] | 88 |
[
"98-1=97",
"86-77=9",
"97-9=88"
] |
Current State: 88:[98, 1, 77, 86], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [77, 86, 97]
Generated Node #2: [77, 86, 97] from Operation: 98-1=97
Current State: 88:[77, 86, 97], Operations: ['98-1=97']
Exploring Operation: 86-77=9, Resulting Numbers: [97, 9]
Generated Node #3: [97, 9] from Operation: 86-77=9
Current State: 88:[97, 9], Operations: ['98-1=97', '86-77=9']
Exploring Operation: 97-9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
93,
33,
33,
93
] | 93 |
[
"33-33=0",
"93*0=0",
"93+0=93"
] |
Current State: 93:[93, 33, 33, 93], Operations: []
Exploring Operation: 33-33=0, Resulting Numbers: [93, 93, 0]
Generated Node #2: [93, 93, 0] from Operation: 33-33=0
Current State: 93:[93, 93, 0], Operations: ['33-33=0']
Exploring Operation: 93*0=0, Resulting Numbers: [0]
0,93 equal: Goal Reached
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
13,
7,
24,
7
] | 11 |
[
"13+7=20",
"24+7=31",
"31-20=11"
] |
Current State: 11:[13, 7, 24, 7], Operations: []
Exploring Operation: 13+7=20, Resulting Numbers: [24, 20]
Generated Node #2: [24, 20] from Operation: 13+7=20
Current State: 11:[24, 20], Operations: ['13+7=20']
Exploring Operation: 24+7=31, Resulting Numbers: [20, 31]
Generated Node #3: [20, 31] from Operation: 24+7=31
Current State: 11:[20, 31], Operations: ['13+7=20', '24+7=31']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
5,
89,
7,
54
] | 67 |
[
"5*89=445",
"7*54=378",
"445-378=67"
] |
Current State: 67:[5, 89, 7, 54], Operations: []
Exploring Operation: 5*89=445, Resulting Numbers: [7, 54, 445]
Generated Node #2: [7, 54, 445] from Operation: 5*89=445
Current State: 67:[7, 54, 445], Operations: ['5*89=445']
Exploring Operation: 7*54=378, Resulting Numbers: [445, 378]
Generated Node #3: [445, 378] from Operation: 7*54=378
Current State: 67:[445, 378], Operations: ['5*89=445', '7*54=378']
Exploring Operation: 445-378=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
48,
71,
3,
44
] | 71 |
[
"48-3=45",
"45-44=1",
"71*1=71"
] |
Current State: 71:[48, 71, 3, 44], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [71, 44, 45]
Generated Node #2: [71, 44, 45] from Operation: 48-3=45
Current State: 71:[71, 44, 45], Operations: ['48-3=45']
Exploring Operation: 45-44=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 45-44=1
Current State: 71:[71, 1], Operations: ['48-3=45', '45-44=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
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