nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
6,
4,
62,
24
] | 63
|
[
"6*4=24",
"24/24=1",
"62+1=63"
] |
Current State: 63:[6, 4, 62, 24], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [62, 24, 24]
Generated Node #2: [62, 24, 24] from Operation: 6*4=24
Current State: 63:[62, 24, 24], Operations: ['6*4=24']
Exploring Operation: 24/24=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 24/24=1
Current State: 63:[62, 1], Operations: ['6*4=24', '24/24=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
30,
90,
12,
74
] | 83
|
[
"90/30=3",
"12+74=86",
"86-3=83"
] |
Current State: 83:[30, 90, 12, 74], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [12, 74, 3]
Generated Node #2: [12, 74, 3] from Operation: 90/30=3
Current State: 83:[12, 74, 3], Operations: ['90/30=3']
Exploring Operation: 12+74=86, Resulting Numbers: [3, 86]
Generated Node #3: [3, 86] from Operation: 12+74=86
Current State: 83:[3, 86], Operations: ['90/30=3', '12+74=86']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
16,
60,
19,
50
] | 13
|
[
"60-16=44",
"50-19=31",
"44-31=13"
] |
Current State: 13:[16, 60, 19, 50], Operations: []
Exploring Operation: 60-16=44, Resulting Numbers: [19, 50, 44]
Generated Node #2: [19, 50, 44] from Operation: 60-16=44
Current State: 13:[19, 50, 44], Operations: ['60-16=44']
Exploring Operation: 50-19=31, Resulting Numbers: [44, 31]
Generated Node #3: [44, 31] from Operation: 50-19=31
Current State: 13:[44, 31], Operations: ['60-16=44', '50-19=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
50,
75,
56,
51
] | 85
|
[
"56-51=5",
"50/5=10",
"75+10=85"
] |
Current State: 85:[50, 75, 56, 51], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [50, 75, 5]
Generated Node #2: [50, 75, 5] from Operation: 56-51=5
Current State: 85:[50, 75, 5], Operations: ['56-51=5']
Exploring Operation: 50/5=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 50/5=10
Current State: 85:[75, 10], Operations: ['56-51=5', '50/5=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
76,
42,
40,
5
] | 69
|
[
"76-42=34",
"40-5=35",
"34+35=69"
] |
Current State: 69:[76, 42, 40, 5], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [40, 5, 34]
Generated Node #2: [40, 5, 34] from Operation: 76-42=34
Current State: 69:[40, 5, 34], Operations: ['76-42=34']
Exploring Operation: 40-5=35, Resulting Numbers: [34, 35]
Generated Node #3: [34, 35] from Operation: 40-5=35
Current State: 69:[34, 35], Operations: ['76-42=34', '40-5=35']
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
23,
81,
6,
99
] | 20
|
[
"99-81=18",
"18/6=3",
"23-3=20"
] |
Current State: 20:[23, 81, 6, 99], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [23, 6, 18]
Generated Node #2: [23, 6, 18] from Operation: 99-81=18
Current State: 20:[23, 6, 18], Operations: ['99-81=18']
Exploring Operation: 18/6=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 18/6=3
Current State: 20:[23, 3], Operations: ['99-81=18', '18/6=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
96,
3,
83,
28
] | 18
|
[
"96-3=93",
"83+28=111",
"111-93=18"
] |
Current State: 18:[96, 3, 83, 28], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [83, 28, 93]
Generated Node #2: [83, 28, 93] from Operation: 96-3=93
Current State: 18:[83, 28, 93], Operations: ['96-3=93']
Exploring Operation: 83+28=111, Resulting Numbers: [93, 111]
Generated Node #3: [93, 111] from Operation: 83+28=111
Current State: 18:[93, 111], Operations: ['96-3=93', '83+28=111']
Exploring Operation: 111-93=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
13,
47,
13,
43
] | 89
|
[
"13/13=1",
"47+43=90",
"90-1=89"
] |
Current State: 89:[13, 47, 13, 43], Operations: []
Exploring Operation: 13/13=1, Resulting Numbers: [47, 43, 1]
Generated Node #2: [47, 43, 1] from Operation: 13/13=1
Current State: 89:[47, 43, 1], Operations: ['13/13=1']
Exploring Operation: 47+43=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 47+43=90
Current State: 89:[1, 90], Operations: ['13/13=1', '47+43=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
14,
1,
22,
52
] | 61
|
[
"14-1=13",
"22+52=74",
"74-13=61"
] |
Current State: 61:[14, 1, 22, 52], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [22, 52, 13]
Generated Node #2: [22, 52, 13] from Operation: 14-1=13
Current State: 61:[22, 52, 13], Operations: ['14-1=13']
Exploring Operation: 22+52=74, Resulting Numbers: [13, 74]
Generated Node #3: [13, 74] from Operation: 22+52=74
Current State: 61:[13, 74], Operations: ['14-1=13', '22+52=74']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
83,
81,
88,
83
] | 81
|
[
"83-83=0",
"88*0=0",
"81+0=81"
] |
Current State: 81:[83, 81, 88, 83], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [81, 88, 0]
Generated Node #2: [81, 88, 0] from Operation: 83-83=0
Current State: 81:[81, 88, 0], Operations: ['83-83=0']
Exploring Operation: 88*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 88*0=0
Current State: 81:[81, 0], Operations: ['83-83=0', '88*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
45,
41,
72,
8
] | 13
|
[
"45-41=4",
"72/8=9",
"4+9=13"
] |
Current State: 13:[45, 41, 72, 8], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [72, 8, 4]
Generated Node #2: [72, 8, 4] from Operation: 45-41=4
Current State: 13:[72, 8, 4], Operations: ['45-41=4']
Exploring Operation: 72/8=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 72/8=9
Current State: 13:[4, 9], Operations: ['45-41=4', '72/8=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
2,
29,
62,
23
] | 36
|
[
"29+23=52",
"52/2=26",
"62-26=36"
] |
Current State: 36:[2, 29, 62, 23], Operations: []
Exploring Operation: 29+23=52, Resulting Numbers: [2, 62, 52]
Generated Node #2: [2, 62, 52] from Operation: 29+23=52
Current State: 36:[2, 62, 52], Operations: ['29+23=52']
Exploring Operation: 52/2=26, Resulting Numbers: [62, 26]
Generated Node #3: [62, 26] from Operation: 52/2=26
Current State: 36:[62, 26], Operations: ['29+23=52', '52/2=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
91,
99,
65,
72
] | 56
|
[
"99-91=8",
"72-65=7",
"8*7=56"
] |
Current State: 56:[91, 99, 65, 72], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [65, 72, 8]
Generated Node #2: [65, 72, 8] from Operation: 99-91=8
Current State: 56:[65, 72, 8], Operations: ['99-91=8']
Exploring Operation: 72-65=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 72-65=7
Current State: 56:[8, 7], Operations: ['99-91=8', '72-65=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
85,
89,
69,
10
] | 71
|
[
"85-69=16",
"10*16=160",
"160-89=71"
] |
Current State: 71:[85, 89, 69, 10], Operations: []
Exploring Operation: 85-69=16, Resulting Numbers: [89, 10, 16]
Generated Node #2: [89, 10, 16] from Operation: 85-69=16
Current State: 71:[89, 10, 16], Operations: ['85-69=16']
Exploring Operation: 10*16=160, Resulting Numbers: [89, 160]
Generated Node #3: [89, 160] from Operation: 10*16=160
Current State: 71:[89, 160], Operations: ['85-69=16', '10*16=160']
Exploring Operation: 160-89=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
21,
73,
2,
24
] | 17
|
[
"21+24=45",
"2*45=90",
"90-73=17"
] |
Current State: 17:[21, 73, 2, 24], Operations: []
Exploring Operation: 21+24=45, Resulting Numbers: [73, 2, 45]
Generated Node #2: [73, 2, 45] from Operation: 21+24=45
Current State: 17:[73, 2, 45], Operations: ['21+24=45']
Exploring Operation: 2*45=90, Resulting Numbers: [73, 90]
Generated Node #3: [73, 90] from Operation: 2*45=90
Current State: 17:[73, 90], Operations: ['21+24=45', '2*45=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
8,
88,
32,
74
] | 94
|
[
"8*32=256",
"88+74=162",
"256-162=94"
] |
Current State: 94:[8, 88, 32, 74], Operations: []
Exploring Operation: 8*32=256, Resulting Numbers: [88, 74, 256]
Generated Node #2: [88, 74, 256] from Operation: 8*32=256
Current State: 94:[88, 74, 256], Operations: ['8*32=256']
Exploring Operation: 88+74=162, Resulting Numbers: [256, 162]
Generated Node #3: [256, 162] from Operation: 88+74=162
Current State: 94:[256, 162], Operations: ['8*32=256', '88+74=162']
Exploring Operation: 256-162=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
18,
54,
60,
60
] | 67
|
[
"60*60=3600",
"18+3600=3618",
"3618/54=67"
] |
Current State: 67:[18, 54, 60, 60], Operations: []
Exploring Operation: 60*60=3600, Resulting Numbers: [18, 54, 3600]
Generated Node #2: [18, 54, 3600] from Operation: 60*60=3600
Current State: 67:[18, 54, 3600], Operations: ['60*60=3600']
Exploring Operation: 18+3600=3618, Resulting Numbers: [54, 3618]
Generated Node #3: [54, 3618] from Operation: 18+3600=3618
Current State: 67:[54, 3618], Operations: ['60*60=3600', '18+3600=3618']
Exploring Operation: 3618/54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
54,
62,
80,
23
] | 59
|
[
"54+62=116",
"80-23=57",
"116-57=59"
] |
Current State: 59:[54, 62, 80, 23], Operations: []
Exploring Operation: 54+62=116, Resulting Numbers: [80, 23, 116]
Generated Node #2: [80, 23, 116] from Operation: 54+62=116
Current State: 59:[80, 23, 116], Operations: ['54+62=116']
Exploring Operation: 80-23=57, Resulting Numbers: [116, 57]
Generated Node #3: [116, 57] from Operation: 80-23=57
Current State: 59:[116, 57], Operations: ['54+62=116', '80-23=57']
Exploring Operation: 116-57=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
23,
74,
94,
74
] | 71
|
[
"23+74=97",
"94+74=168",
"168-97=71"
] |
Current State: 71:[23, 74, 94, 74], Operations: []
Exploring Operation: 23+74=97, Resulting Numbers: [94, 97]
Generated Node #2: [94, 97] from Operation: 23+74=97
Current State: 71:[94, 97], Operations: ['23+74=97']
Exploring Operation: 94+74=168, Resulting Numbers: [97, 168]
Generated Node #3: [97, 168] from Operation: 94+74=168
Current State: 71:[97, 168], Operations: ['23+74=97', '94+74=168']
Exploring Operation: 168-97=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
47,
39,
40,
60
] | 92
|
[
"47-39=8",
"40+60=100",
"100-8=92"
] |
Current State: 92:[47, 39, 40, 60], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [40, 60, 8]
Generated Node #2: [40, 60, 8] from Operation: 47-39=8
Current State: 92:[40, 60, 8], Operations: ['47-39=8']
Exploring Operation: 40+60=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 40+60=100
Current State: 92:[8, 100], Operations: ['47-39=8', '40+60=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
46,
64,
83,
38
] | 92
|
[
"46*38=1748",
"83-64=19",
"1748/19=92"
] |
Current State: 92:[46, 64, 83, 38], Operations: []
Exploring Operation: 46*38=1748, Resulting Numbers: [64, 83, 1748]
Generated Node #2: [64, 83, 1748] from Operation: 46*38=1748
Current State: 92:[64, 83, 1748], Operations: ['46*38=1748']
Exploring Operation: 83-64=19, Resulting Numbers: [1748, 19]
Generated Node #3: [1748, 19] from Operation: 83-64=19
Current State: 92:[1748, 19], Operations: ['46*38=1748', '83-64=19']
Exploring Operation: 1748/19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
77,
87,
11,
32
] | 53
|
[
"87-77=10",
"11+32=43",
"10+43=53"
] |
Current State: 53:[77, 87, 11, 32], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [11, 32, 10]
Generated Node #2: [11, 32, 10] from Operation: 87-77=10
Current State: 53:[11, 32, 10], Operations: ['87-77=10']
Exploring Operation: 11+32=43, Resulting Numbers: [10, 43]
Generated Node #3: [10, 43] from Operation: 11+32=43
Current State: 53:[10, 43], Operations: ['87-77=10', '11+32=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
73,
9,
75,
89
] | 53
|
[
"89-75=14",
"9*14=126",
"126-73=53"
] |
Current State: 53:[73, 9, 75, 89], Operations: []
Exploring Operation: 89-75=14, Resulting Numbers: [73, 9, 14]
Generated Node #2: [73, 9, 14] from Operation: 89-75=14
Current State: 53:[73, 9, 14], Operations: ['89-75=14']
Exploring Operation: 9*14=126, Resulting Numbers: [73, 126]
Generated Node #3: [73, 126] from Operation: 9*14=126
Current State: 53:[73, 126], Operations: ['89-75=14', '9*14=126']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
47,
75,
47,
35
] | 41
|
[
"47/47=1",
"75-35=40",
"1+40=41"
] |
Current State: 41:[47, 75, 47, 35], Operations: []
Exploring Operation: 47/47=1, Resulting Numbers: [75, 35, 1]
Generated Node #2: [75, 35, 1] from Operation: 47/47=1
Current State: 41:[75, 35, 1], Operations: ['47/47=1']
Exploring Operation: 75-35=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 75-35=40
Current State: 41:[1, 40], Operations: ['47/47=1', '75-35=40']
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
[
33,
16,
86,
16
] | 52
|
[
"86-33=53",
"16/16=1",
"53-1=52"
] |
Current State: 52:[33, 16, 86, 16], Operations: []
Exploring Operation: 86-33=53, Resulting Numbers: [16, 16, 53]
Generated Node #2: [16, 16, 53] from Operation: 86-33=53
Current State: 52:[16, 16, 53], Operations: ['86-33=53']
Exploring Operation: 16/16=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 16/16=1
Current State: 52:[53, 1], Operations: ['86-33=53', '16/16=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
13,
8,
23,
35
] | 45
|
[
"23-13=10",
"8*10=80",
"80-35=45"
] |
Current State: 45:[13, 8, 23, 35], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [8, 35, 10]
Generated Node #2: [8, 35, 10] from Operation: 23-13=10
Current State: 45:[8, 35, 10], Operations: ['23-13=10']
Exploring Operation: 8*10=80, Resulting Numbers: [35, 80]
Generated Node #3: [35, 80] from Operation: 8*10=80
Current State: 45:[35, 80], Operations: ['23-13=10', '8*10=80']
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
16,
14,
78,
70
] | 96
|
[
"78-14=64",
"70-64=6",
"16*6=96"
] |
Current State: 96:[16, 14, 78, 70], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [16, 70, 64]
Generated Node #2: [16, 70, 64] from Operation: 78-14=64
Current State: 96:[16, 70, 64], Operations: ['78-14=64']
Exploring Operation: 70-64=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 70-64=6
Current State: 96:[16, 6], Operations: ['78-14=64', '70-64=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
15,
18,
96,
76
] | 90
|
[
"96-15=81",
"81-76=5",
"18*5=90"
] |
Current State: 90:[15, 18, 96, 76], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [18, 76, 81]
Generated Node #2: [18, 76, 81] from Operation: 96-15=81
Current State: 90:[18, 76, 81], Operations: ['96-15=81']
Exploring Operation: 81-76=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 81-76=5
Current State: 90:[18, 5], Operations: ['96-15=81', '81-76=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
2,
36,
77,
99
] | 29
|
[
"77-36=41",
"99-41=58",
"58/2=29"
] |
Current State: 29:[2, 36, 77, 99], Operations: []
Exploring Operation: 77-36=41, Resulting Numbers: [2, 99, 41]
Generated Node #2: [2, 99, 41] from Operation: 77-36=41
Current State: 29:[2, 99, 41], Operations: ['77-36=41']
Exploring Operation: 99-41=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 99-41=58
Current State: 29:[2, 58], Operations: ['77-36=41', '99-41=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
[
10,
41,
59,
26
] | 91
|
[
"41-26=15",
"10*15=150",
"150-59=91"
] |
Current State: 91:[10, 41, 59, 26], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [10, 59, 15]
Generated Node #2: [10, 59, 15] from Operation: 41-26=15
Current State: 91:[10, 59, 15], Operations: ['41-26=15']
Exploring Operation: 10*15=150, Resulting Numbers: [59, 150]
Generated Node #3: [59, 150] from Operation: 10*15=150
Current State: 91:[59, 150], Operations: ['41-26=15', '10*15=150']
Exploring Operation: 150-59=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
49,
84,
18,
3
] | 35
|
[
"84*3=252",
"252/18=14",
"49-14=35"
] |
Current State: 35:[49, 84, 18, 3], Operations: []
Exploring Operation: 84*3=252, Resulting Numbers: [49, 18, 252]
Generated Node #2: [49, 18, 252] from Operation: 84*3=252
Current State: 35:[49, 18, 252], Operations: ['84*3=252']
Exploring Operation: 252/18=14, Resulting Numbers: [49, 14]
Generated Node #3: [49, 14] from Operation: 252/18=14
Current State: 35:[49, 14], Operations: ['84*3=252', '252/18=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
54,
57,
46,
76
] | 93
|
[
"57*76=4332",
"4332-54=4278",
"4278/46=93"
] |
Current State: 93:[54, 57, 46, 76], Operations: []
Exploring Operation: 57*76=4332, Resulting Numbers: [54, 46, 4332]
Generated Node #2: [54, 46, 4332] from Operation: 57*76=4332
Current State: 93:[54, 46, 4332], Operations: ['57*76=4332']
Exploring Operation: 4332-54=4278, Resulting Numbers: [46, 4278]
Generated Node #3: [46, 4278] from Operation: 4332-54=4278
Current State: 93:[46, 4278], Operations: ['57*76=4332', '4332-54=4278']
Exploring Operation: 4278/46=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
12,
76,
92,
44
] | 94
|
[
"12+76=88",
"88/44=2",
"92+2=94"
] |
Current State: 94:[12, 76, 92, 44], Operations: []
Exploring Operation: 12+76=88, Resulting Numbers: [92, 44, 88]
Generated Node #2: [92, 44, 88] from Operation: 12+76=88
Current State: 94:[92, 44, 88], Operations: ['12+76=88']
Exploring Operation: 88/44=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 88/44=2
Current State: 94:[92, 2], Operations: ['12+76=88', '88/44=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
65,
90,
8,
16
] | 49
|
[
"90-65=25",
"8+16=24",
"25+24=49"
] |
Current State: 49:[65, 90, 8, 16], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [8, 16, 25]
Generated Node #2: [8, 16, 25] from Operation: 90-65=25
Current State: 49:[8, 16, 25], Operations: ['90-65=25']
Exploring Operation: 8+16=24, Resulting Numbers: [25, 24]
Generated Node #3: [25, 24] from Operation: 8+16=24
Current State: 49:[25, 24], Operations: ['90-65=25', '8+16=24']
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
72,
42,
80,
9
] | 52
|
[
"72/9=8",
"80/8=10",
"42+10=52"
] |
Current State: 52:[72, 42, 80, 9], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [42, 80, 8]
Generated Node #2: [42, 80, 8] from Operation: 72/9=8
Current State: 52:[42, 80, 8], Operations: ['72/9=8']
Exploring Operation: 80/8=10, Resulting Numbers: [42, 10]
Generated Node #3: [42, 10] from Operation: 80/8=10
Current State: 52:[42, 10], Operations: ['72/9=8', '80/8=10']
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
55,
37,
28,
4
] | 94
|
[
"55-37=18",
"28*4=112",
"112-18=94"
] |
Current State: 94:[55, 37, 28, 4], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [28, 4, 18]
Generated Node #2: [28, 4, 18] from Operation: 55-37=18
Current State: 94:[28, 4, 18], Operations: ['55-37=18']
Exploring Operation: 28*4=112, Resulting Numbers: [18, 112]
Generated Node #3: [18, 112] from Operation: 28*4=112
Current State: 94:[18, 112], Operations: ['55-37=18', '28*4=112']
Exploring Operation: 112-18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
66,
51,
69,
33
] | 54
|
[
"69-66=3",
"51-33=18",
"3*18=54"
] |
Current State: 54:[66, 51, 69, 33], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [51, 33, 3]
Generated Node #2: [51, 33, 3] from Operation: 69-66=3
Current State: 54:[51, 33, 3], Operations: ['69-66=3']
Exploring Operation: 51-33=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 51-33=18
Current State: 54:[3, 18], Operations: ['69-66=3', '51-33=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
98,
20,
2,
92
] | 72
|
[
"98+20=118",
"92/2=46",
"118-46=72"
] |
Current State: 72:[98, 20, 2, 92], Operations: []
Exploring Operation: 98+20=118, Resulting Numbers: [2, 92, 118]
Generated Node #2: [2, 92, 118] from Operation: 98+20=118
Current State: 72:[2, 92, 118], Operations: ['98+20=118']
Exploring Operation: 92/2=46, Resulting Numbers: [118, 46]
Generated Node #3: [118, 46] from Operation: 92/2=46
Current State: 72:[118, 46], Operations: ['98+20=118', '92/2=46']
Exploring Operation: 118-46=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
20,
56,
6,
65
] | 26
|
[
"20*65=1300",
"56-6=50",
"1300/50=26"
] |
Current State: 26:[20, 56, 6, 65], Operations: []
Exploring Operation: 20*65=1300, Resulting Numbers: [56, 6, 1300]
Generated Node #2: [56, 6, 1300] from Operation: 20*65=1300
Current State: 26:[56, 6, 1300], Operations: ['20*65=1300']
Exploring Operation: 56-6=50, Resulting Numbers: [1300, 50]
Generated Node #3: [1300, 50] from Operation: 56-6=50
Current State: 26:[1300, 50], Operations: ['20*65=1300', '56-6=50']
Exploring Operation: 1300/50=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
91,
6,
53,
97
] | 54
|
[
"91+6=97",
"97/97=1",
"53+1=54"
] |
Current State: 54:[91, 6, 53, 97], Operations: []
Exploring Operation: 91+6=97, Resulting Numbers: [53, 97, 97]
Generated Node #2: [53, 97, 97] from Operation: 91+6=97
Current State: 54:[53, 97, 97], Operations: ['91+6=97']
Exploring Operation: 97/97=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 97/97=1
Current State: 54:[53, 1], Operations: ['91+6=97', '97/97=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
15,
10,
32,
18
] | 86
|
[
"18-15=3",
"32*3=96",
"96-10=86"
] |
Current State: 86:[15, 10, 32, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [10, 32, 3]
Generated Node #2: [10, 32, 3] from Operation: 18-15=3
Current State: 86:[10, 32, 3], Operations: ['18-15=3']
Exploring Operation: 32*3=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 32*3=96
Current State: 86:[10, 96], Operations: ['18-15=3', '32*3=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
13,
7,
61,
26
] | 30
|
[
"26-13=13",
"7*13=91",
"91-61=30"
] |
Current State: 30:[13, 7, 61, 26], Operations: []
Exploring Operation: 26-13=13, Resulting Numbers: [7, 61, 13]
Generated Node #2: [7, 61, 13] from Operation: 26-13=13
Current State: 30:[7, 61, 13], Operations: ['26-13=13']
Exploring Operation: 7*13=91, Resulting Numbers: [61, 91]
Generated Node #3: [61, 91] from Operation: 7*13=91
Current State: 30:[61, 91], Operations: ['26-13=13', '7*13=91']
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
[
7,
45,
48,
44
] | 56
|
[
"7+45=52",
"48-44=4",
"52+4=56"
] |
Current State: 56:[7, 45, 48, 44], Operations: []
Exploring Operation: 7+45=52, Resulting Numbers: [48, 44, 52]
Generated Node #2: [48, 44, 52] from Operation: 7+45=52
Current State: 56:[48, 44, 52], Operations: ['7+45=52']
Exploring Operation: 48-44=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 48-44=4
Current State: 56:[52, 4], Operations: ['7+45=52', '48-44=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
92,
30,
81,
2
] | 78
|
[
"92-2=90",
"90/30=3",
"81-3=78"
] |
Current State: 78:[92, 30, 81, 2], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [30, 81, 90]
Generated Node #2: [30, 81, 90] from Operation: 92-2=90
Current State: 78:[30, 81, 90], Operations: ['92-2=90']
Exploring Operation: 90/30=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 90/30=3
Current State: 78:[81, 3], Operations: ['92-2=90', '90/30=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
63,
65,
43,
12
] | 67
|
[
"65-63=2",
"12*2=24",
"43+24=67"
] |
Current State: 67:[63, 65, 43, 12], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [43, 12, 2]
Generated Node #2: [43, 12, 2] from Operation: 65-63=2
Current State: 67:[43, 12, 2], Operations: ['65-63=2']
Exploring Operation: 12*2=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 12*2=24
Current State: 67:[43, 24], Operations: ['65-63=2', '12*2=24']
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
64,
10,
4,
91
] | 98
|
[
"91-64=27",
"4*27=108",
"108-10=98"
] |
Current State: 98:[64, 10, 4, 91], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [10, 4, 27]
Generated Node #2: [10, 4, 27] from Operation: 91-64=27
Current State: 98:[10, 4, 27], Operations: ['91-64=27']
Exploring Operation: 4*27=108, Resulting Numbers: [10, 108]
Generated Node #3: [10, 108] from Operation: 4*27=108
Current State: 98:[10, 108], Operations: ['91-64=27', '4*27=108']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
23,
74,
11,
15
] | 55
|
[
"74-23=51",
"15-11=4",
"51+4=55"
] |
Current State: 55:[23, 74, 11, 15], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [11, 15, 51]
Generated Node #2: [11, 15, 51] from Operation: 74-23=51
Current State: 55:[11, 15, 51], Operations: ['74-23=51']
Exploring Operation: 15-11=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 15-11=4
Current State: 55:[51, 4], Operations: ['74-23=51', '15-11=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
39,
13,
2,
54
] | 40
|
[
"39-13=26",
"54+26=80",
"80/2=40"
] |
Current State: 40:[39, 13, 2, 54], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [2, 54, 26]
Generated Node #2: [2, 54, 26] from Operation: 39-13=26
Current State: 40:[2, 54, 26], Operations: ['39-13=26']
Exploring Operation: 54+26=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 54+26=80
Current State: 40:[2, 80], Operations: ['39-13=26', '54+26=80']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
56,
45,
37,
8
] | 18
|
[
"56-45=11",
"37-8=29",
"29-11=18"
] |
Current State: 18:[56, 45, 37, 8], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [37, 8, 11]
Generated Node #2: [37, 8, 11] from Operation: 56-45=11
Current State: 18:[37, 8, 11], Operations: ['56-45=11']
Exploring Operation: 37-8=29, Resulting Numbers: [11, 29]
Generated Node #3: [11, 29] from Operation: 37-8=29
Current State: 18:[11, 29], Operations: ['56-45=11', '37-8=29']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
48,
21,
90,
16
] | 79
|
[
"48-21=27",
"90+16=106",
"106-27=79"
] |
Current State: 79:[48, 21, 90, 16], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [90, 16, 27]
Generated Node #2: [90, 16, 27] from Operation: 48-21=27
Current State: 79:[90, 16, 27], Operations: ['48-21=27']
Exploring Operation: 90+16=106, Resulting Numbers: [27, 106]
Generated Node #3: [27, 106] from Operation: 90+16=106
Current State: 79:[27, 106], Operations: ['48-21=27', '90+16=106']
Exploring Operation: 106-27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
3,
47,
64,
19
] | 88
|
[
"64-19=45",
"3*45=135",
"135-47=88"
] |
Current State: 88:[3, 47, 64, 19], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [3, 47, 45]
Generated Node #2: [3, 47, 45] from Operation: 64-19=45
Current State: 88:[3, 47, 45], Operations: ['64-19=45']
Exploring Operation: 3*45=135, Resulting Numbers: [47, 135]
Generated Node #3: [47, 135] from Operation: 3*45=135
Current State: 88:[47, 135], Operations: ['64-19=45', '3*45=135']
Exploring Operation: 135-47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
16,
14,
50,
45
] | 93
|
[
"16-14=2",
"50+45=95",
"95-2=93"
] |
Current State: 93:[16, 14, 50, 45], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [50, 45, 2]
Generated Node #2: [50, 45, 2] from Operation: 16-14=2
Current State: 93:[50, 45, 2], Operations: ['16-14=2']
Exploring Operation: 50+45=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 50+45=95
Current State: 93:[2, 95], Operations: ['16-14=2', '50+45=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
38,
20,
24,
89
] | 83
|
[
"38-20=18",
"89-24=65",
"18+65=83"
] |
Current State: 83:[38, 20, 24, 89], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [24, 89, 18]
Generated Node #2: [24, 89, 18] from Operation: 38-20=18
Current State: 83:[24, 89, 18], Operations: ['38-20=18']
Exploring Operation: 89-24=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 89-24=65
Current State: 83:[18, 65], Operations: ['38-20=18', '89-24=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
41,
70,
79,
82
] | 50
|
[
"41+70=111",
"79+82=161",
"161-111=50"
] |
Current State: 50:[41, 70, 79, 82], Operations: []
Exploring Operation: 41+70=111, Resulting Numbers: [79, 82, 111]
Generated Node #2: [79, 82, 111] from Operation: 41+70=111
Current State: 50:[79, 82, 111], Operations: ['41+70=111']
Exploring Operation: 79+82=161, Resulting Numbers: [111, 161]
Generated Node #3: [111, 161] from Operation: 79+82=161
Current State: 50:[111, 161], Operations: ['41+70=111', '79+82=161']
Exploring Operation: 161-111=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
17,
95,
88,
67
] | 57
|
[
"95-17=78",
"88-67=21",
"78-21=57"
] |
Current State: 57:[17, 95, 88, 67], Operations: []
Exploring Operation: 95-17=78, Resulting Numbers: [88, 67, 78]
Generated Node #2: [88, 67, 78] from Operation: 95-17=78
Current State: 57:[88, 67, 78], Operations: ['95-17=78']
Exploring Operation: 88-67=21, Resulting Numbers: [78, 21]
Generated Node #3: [78, 21] from Operation: 88-67=21
Current State: 57:[78, 21], Operations: ['95-17=78', '88-67=21']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
52,
3,
73,
82
] | 17
|
[
"82-52=30",
"3*30=90",
"90-73=17"
] |
Current State: 17:[52, 3, 73, 82], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [3, 73, 30]
Generated Node #2: [3, 73, 30] from Operation: 82-52=30
Current State: 17:[3, 73, 30], Operations: ['82-52=30']
Exploring Operation: 3*30=90, Resulting Numbers: [73, 90]
Generated Node #3: [73, 90] from Operation: 3*30=90
Current State: 17:[73, 90], Operations: ['82-52=30', '3*30=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
64,
87,
90,
13
] | 74
|
[
"64+87=151",
"90-13=77",
"151-77=74"
] |
Current State: 74:[64, 87, 90, 13], Operations: []
Exploring Operation: 64+87=151, Resulting Numbers: [90, 13, 151]
Generated Node #2: [90, 13, 151] from Operation: 64+87=151
Current State: 74:[90, 13, 151], Operations: ['64+87=151']
Exploring Operation: 90-13=77, Resulting Numbers: [151, 77]
Generated Node #3: [151, 77] from Operation: 90-13=77
Current State: 74:[151, 77], Operations: ['64+87=151', '90-13=77']
Exploring Operation: 151-77=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
45,
18,
8,
48
] | 62
|
[
"48-45=3",
"18*3=54",
"8+54=62"
] |
Current State: 62:[45, 18, 8, 48], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [18, 8, 3]
Generated Node #2: [18, 8, 3] from Operation: 48-45=3
Current State: 62:[18, 8, 3], Operations: ['48-45=3']
Exploring Operation: 18*3=54, Resulting Numbers: [8, 54]
Generated Node #3: [8, 54] from Operation: 18*3=54
Current State: 62:[8, 54], Operations: ['48-45=3', '18*3=54']
Exploring Operation: 8+54=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
63,
35,
11,
4
] | 54
|
[
"63+35=98",
"11*4=44",
"98-44=54"
] |
Current State: 54:[63, 35, 11, 4], Operations: []
Exploring Operation: 63+35=98, Resulting Numbers: [11, 4, 98]
Generated Node #2: [11, 4, 98] from Operation: 63+35=98
Current State: 54:[11, 4, 98], Operations: ['63+35=98']
Exploring Operation: 11*4=44, Resulting Numbers: [98, 44]
Generated Node #3: [98, 44] from Operation: 11*4=44
Current State: 54:[98, 44], Operations: ['63+35=98', '11*4=44']
Exploring Operation: 98-44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
16,
11,
75,
16
] | 85
|
[
"16*11=176",
"75+16=91",
"176-91=85"
] |
Current State: 85:[16, 11, 75, 16], Operations: []
Exploring Operation: 16*11=176, Resulting Numbers: [75, 176]
Generated Node #2: [75, 176] from Operation: 16*11=176
Current State: 85:[75, 176], Operations: ['16*11=176']
Exploring Operation: 75+16=91, Resulting Numbers: [176, 91]
Generated Node #3: [176, 91] from Operation: 75+16=91
Current State: 85:[176, 91], Operations: ['16*11=176', '75+16=91']
Exploring Operation: 176-91=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
33,
89,
6,
53
] | 39
|
[
"89-53=36",
"36/6=6",
"33+6=39"
] |
Current State: 39:[33, 89, 6, 53], Operations: []
Exploring Operation: 89-53=36, Resulting Numbers: [33, 6, 36]
Generated Node #2: [33, 6, 36] from Operation: 89-53=36
Current State: 39:[33, 6, 36], Operations: ['89-53=36']
Exploring Operation: 36/6=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 36/6=6
Current State: 39:[33, 6], Operations: ['89-53=36', '36/6=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
71,
33,
35,
19
] | 26
|
[
"71-19=52",
"35-33=2",
"52/2=26"
] |
Current State: 26:[71, 33, 35, 19], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [33, 35, 52]
Generated Node #2: [33, 35, 52] from Operation: 71-19=52
Current State: 26:[33, 35, 52], Operations: ['71-19=52']
Exploring Operation: 35-33=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 35-33=2
Current State: 26:[52, 2], Operations: ['71-19=52', '35-33=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
32,
6,
23,
91
] | 79
|
[
"91-32=59",
"6*23=138",
"138-59=79"
] |
Current State: 79:[32, 6, 23, 91], Operations: []
Exploring Operation: 91-32=59, Resulting Numbers: [6, 23, 59]
Generated Node #2: [6, 23, 59] from Operation: 91-32=59
Current State: 79:[6, 23, 59], Operations: ['91-32=59']
Exploring Operation: 6*23=138, Resulting Numbers: [59, 138]
Generated Node #3: [59, 138] from Operation: 6*23=138
Current State: 79:[59, 138], Operations: ['91-32=59', '6*23=138']
Exploring Operation: 138-59=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
35,
50,
12,
43
] | 70
|
[
"50-35=15",
"12+43=55",
"15+55=70"
] |
Current State: 70:[35, 50, 12, 43], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [12, 43, 15]
Generated Node #2: [12, 43, 15] from Operation: 50-35=15
Current State: 70:[12, 43, 15], Operations: ['50-35=15']
Exploring Operation: 12+43=55, Resulting Numbers: [15, 55]
Generated Node #3: [15, 55] from Operation: 12+43=55
Current State: 70:[15, 55], Operations: ['50-35=15', '12+43=55']
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
88,
90,
7,
89
] | 95
|
[
"88+7=95",
"90-89=1",
"95*1=95"
] |
Current State: 95:[88, 90, 7, 89], Operations: []
Exploring Operation: 88+7=95, Resulting Numbers: [90, 89, 95]
Generated Node #2: [90, 89, 95] from Operation: 88+7=95
Current State: 95:[90, 89, 95], Operations: ['88+7=95']
Exploring Operation: 90-89=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 90-89=1
Current State: 95:[95, 1], Operations: ['88+7=95', '90-89=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
[
6,
1,
43,
29
] | 67
|
[
"6-1=5",
"43+29=72",
"72-5=67"
] |
Current State: 67:[6, 1, 43, 29], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [43, 29, 5]
Generated Node #2: [43, 29, 5] from Operation: 6-1=5
Current State: 67:[43, 29, 5], Operations: ['6-1=5']
Exploring Operation: 43+29=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 43+29=72
Current State: 67:[5, 72], Operations: ['6-1=5', '43+29=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
23,
57,
11,
10
] | 60
|
[
"23+10=33",
"33/11=3",
"57+3=60"
] |
Current State: 60:[23, 57, 11, 10], Operations: []
Exploring Operation: 23+10=33, Resulting Numbers: [57, 11, 33]
Generated Node #2: [57, 11, 33] from Operation: 23+10=33
Current State: 60:[57, 11, 33], Operations: ['23+10=33']
Exploring Operation: 33/11=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 33/11=3
Current State: 60:[57, 3], Operations: ['23+10=33', '33/11=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
12,
89,
60,
57
] | 27
|
[
"60/12=5",
"89-57=32",
"32-5=27"
] |
Current State: 27:[12, 89, 60, 57], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [89, 57, 5]
Generated Node #2: [89, 57, 5] from Operation: 60/12=5
Current State: 27:[89, 57, 5], Operations: ['60/12=5']
Exploring Operation: 89-57=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 89-57=32
Current State: 27:[5, 32], Operations: ['60/12=5', '89-57=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
10,
15,
83,
78
] | 65
|
[
"83-78=5",
"10*5=50",
"15+50=65"
] |
Current State: 65:[10, 15, 83, 78], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [10, 15, 5]
Generated Node #2: [10, 15, 5] from Operation: 83-78=5
Current State: 65:[10, 15, 5], Operations: ['83-78=5']
Exploring Operation: 10*5=50, Resulting Numbers: [15, 50]
Generated Node #3: [15, 50] from Operation: 10*5=50
Current State: 65:[15, 50], Operations: ['83-78=5', '10*5=50']
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
44,
25,
58,
49
] | 28
|
[
"44-25=19",
"58-49=9",
"19+9=28"
] |
Current State: 28:[44, 25, 58, 49], Operations: []
Exploring Operation: 44-25=19, Resulting Numbers: [58, 49, 19]
Generated Node #2: [58, 49, 19] from Operation: 44-25=19
Current State: 28:[58, 49, 19], Operations: ['44-25=19']
Exploring Operation: 58-49=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 58-49=9
Current State: 28:[19, 9], Operations: ['44-25=19', '58-49=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
71,
85,
71,
3
] | 89
|
[
"71/71=1",
"85+3=88",
"1+88=89"
] |
Current State: 89:[71, 85, 71, 3], Operations: []
Exploring Operation: 71/71=1, Resulting Numbers: [85, 3, 1]
Generated Node #2: [85, 3, 1] from Operation: 71/71=1
Current State: 89:[85, 3, 1], Operations: ['71/71=1']
Exploring Operation: 85+3=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 85+3=88
Current State: 89:[1, 88], Operations: ['71/71=1', '85+3=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
40,
82,
6,
85
] | 58
|
[
"85-82=3",
"6*3=18",
"40+18=58"
] |
Current State: 58:[40, 82, 6, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [40, 6, 3]
Generated Node #2: [40, 6, 3] from Operation: 85-82=3
Current State: 58:[40, 6, 3], Operations: ['85-82=3']
Exploring Operation: 6*3=18, Resulting Numbers: [40, 18]
Generated Node #3: [40, 18] from Operation: 6*3=18
Current State: 58:[40, 18], Operations: ['85-82=3', '6*3=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
24,
63,
42,
65
] | 64
|
[
"24+63=87",
"65-42=23",
"87-23=64"
] |
Current State: 64:[24, 63, 42, 65], Operations: []
Exploring Operation: 24+63=87, Resulting Numbers: [42, 65, 87]
Generated Node #2: [42, 65, 87] from Operation: 24+63=87
Current State: 64:[42, 65, 87], Operations: ['24+63=87']
Exploring Operation: 65-42=23, Resulting Numbers: [87, 23]
Generated Node #3: [87, 23] from Operation: 65-42=23
Current State: 64:[87, 23], Operations: ['24+63=87', '65-42=23']
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
3,
76,
73,
17
] | 60
|
[
"3+17=20",
"76-73=3",
"20*3=60"
] |
Current State: 60:[3, 76, 73, 17], Operations: []
Exploring Operation: 3+17=20, Resulting Numbers: [76, 73, 20]
Generated Node #2: [76, 73, 20] from Operation: 3+17=20
Current State: 60:[76, 73, 20], Operations: ['3+17=20']
Exploring Operation: 76-73=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 76-73=3
Current State: 60:[20, 3], Operations: ['3+17=20', '76-73=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
40,
94,
2,
23
] | 32
|
[
"40+23=63",
"2*63=126",
"126-94=32"
] |
Current State: 32:[40, 94, 2, 23], Operations: []
Exploring Operation: 40+23=63, Resulting Numbers: [94, 2, 63]
Generated Node #2: [94, 2, 63] from Operation: 40+23=63
Current State: 32:[94, 2, 63], Operations: ['40+23=63']
Exploring Operation: 2*63=126, Resulting Numbers: [94, 126]
Generated Node #3: [94, 126] from Operation: 2*63=126
Current State: 32:[94, 126], Operations: ['40+23=63', '2*63=126']
Exploring Operation: 126-94=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
10,
11,
54,
3
] | 11
|
[
"10+11=21",
"54-21=33",
"33/3=11"
] |
Current State: 11:[10, 11, 54, 3], Operations: []
Exploring Operation: 10+11=21, Resulting Numbers: [54, 3, 21]
Generated Node #2: [54, 3, 21] from Operation: 10+11=21
Current State: 11:[54, 3, 21], Operations: ['10+11=21']
Exploring Operation: 54-21=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 54-21=33
Current State: 11:[3, 33], Operations: ['10+11=21', '54-21=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
11,
62,
77,
6
] | 32
|
[
"62-11=51",
"77+6=83",
"83-51=32"
] |
Current State: 32:[11, 62, 77, 6], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [77, 6, 51]
Generated Node #2: [77, 6, 51] from Operation: 62-11=51
Current State: 32:[77, 6, 51], Operations: ['62-11=51']
Exploring Operation: 77+6=83, Resulting Numbers: [51, 83]
Generated Node #3: [51, 83] from Operation: 77+6=83
Current State: 32:[51, 83], Operations: ['62-11=51', '77+6=83']
Exploring Operation: 83-51=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
54,
12,
73,
92
] | 24
|
[
"54+92=146",
"12*146=1752",
"1752/73=24"
] |
Current State: 24:[54, 12, 73, 92], Operations: []
Exploring Operation: 54+92=146, Resulting Numbers: [12, 73, 146]
Generated Node #2: [12, 73, 146] from Operation: 54+92=146
Current State: 24:[12, 73, 146], Operations: ['54+92=146']
Exploring Operation: 12*146=1752, Resulting Numbers: [73, 1752]
Generated Node #3: [73, 1752] from Operation: 12*146=1752
Current State: 24:[73, 1752], Operations: ['54+92=146', '12*146=1752']
Exploring Operation: 1752/73=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
92,
38,
3,
37
] | 46
|
[
"38-3=35",
"37-35=2",
"92/2=46"
] |
Current State: 46:[92, 38, 3, 37], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [92, 37, 35]
Generated Node #2: [92, 37, 35] from Operation: 38-3=35
Current State: 46:[92, 37, 35], Operations: ['38-3=35']
Exploring Operation: 37-35=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 37-35=2
Current State: 46:[92, 2], Operations: ['38-3=35', '37-35=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
88,
28,
93,
24
] | 71
|
[
"28-24=4",
"88/4=22",
"93-22=71"
] |
Current State: 71:[88, 28, 93, 24], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [88, 93, 4]
Generated Node #2: [88, 93, 4] from Operation: 28-24=4
Current State: 71:[88, 93, 4], Operations: ['28-24=4']
Exploring Operation: 88/4=22, Resulting Numbers: [93, 22]
Generated Node #3: [93, 22] from Operation: 88/4=22
Current State: 71:[93, 22], Operations: ['28-24=4', '88/4=22']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
28,
55,
4,
32
] | 39
|
[
"32-28=4",
"4*4=16",
"55-16=39"
] |
Current State: 39:[28, 55, 4, 32], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [55, 4, 4]
Generated Node #2: [55, 4, 4] from Operation: 32-28=4
Current State: 39:[55, 4, 4], Operations: ['32-28=4']
Exploring Operation: 4*4=16, Resulting Numbers: [55, 16]
Generated Node #3: [55, 16] from Operation: 4*4=16
Current State: 39:[55, 16], Operations: ['32-28=4', '4*4=16']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
69,
6,
3,
10
] | 11
|
[
"69-6=63",
"63/3=21",
"21-10=11"
] |
Current State: 11:[69, 6, 3, 10], Operations: []
Exploring Operation: 69-6=63, Resulting Numbers: [3, 10, 63]
Generated Node #2: [3, 10, 63] from Operation: 69-6=63
Current State: 11:[3, 10, 63], Operations: ['69-6=63']
Exploring Operation: 63/3=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 63/3=21
Current State: 11:[10, 21], Operations: ['69-6=63', '63/3=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
18,
6,
18,
2
] | 52
|
[
"18/6=3",
"18*3=54",
"54-2=52"
] |
Current State: 52:[18, 6, 18, 2], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [2, 3]
Generated Node #2: [2, 3] from Operation: 18/6=3
Current State: 52:[2, 3], Operations: ['18/6=3']
Exploring Operation: 18*3=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 18*3=54
Current State: 52:[2, 54], Operations: ['18/6=3', '18*3=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
70,
56,
65,
58
] | 98
|
[
"70-56=14",
"65-58=7",
"14*7=98"
] |
Current State: 98:[70, 56, 65, 58], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [65, 58, 14]
Generated Node #2: [65, 58, 14] from Operation: 70-56=14
Current State: 98:[65, 58, 14], Operations: ['70-56=14']
Exploring Operation: 65-58=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 65-58=7
Current State: 98:[14, 7], Operations: ['70-56=14', '65-58=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
12,
54,
95,
60
] | 97
|
[
"60-54=6",
"12/6=2",
"95+2=97"
] |
Current State: 97:[12, 54, 95, 60], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [12, 95, 6]
Generated Node #2: [12, 95, 6] from Operation: 60-54=6
Current State: 97:[12, 95, 6], Operations: ['60-54=6']
Exploring Operation: 12/6=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 12/6=2
Current State: 97:[95, 2], Operations: ['60-54=6', '12/6=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
48,
99,
7,
64
] | 90
|
[
"48+99=147",
"64-7=57",
"147-57=90"
] |
Current State: 90:[48, 99, 7, 64], Operations: []
Exploring Operation: 48+99=147, Resulting Numbers: [7, 64, 147]
Generated Node #2: [7, 64, 147] from Operation: 48+99=147
Current State: 90:[7, 64, 147], Operations: ['48+99=147']
Exploring Operation: 64-7=57, Resulting Numbers: [147, 57]
Generated Node #3: [147, 57] from Operation: 64-7=57
Current State: 90:[147, 57], Operations: ['48+99=147', '64-7=57']
Exploring Operation: 147-57=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
36,
38,
16,
86
] | 94
|
[
"38-36=2",
"16/2=8",
"86+8=94"
] |
Current State: 94:[36, 38, 16, 86], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [16, 86, 2]
Generated Node #2: [16, 86, 2] from Operation: 38-36=2
Current State: 94:[16, 86, 2], Operations: ['38-36=2']
Exploring Operation: 16/2=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 16/2=8
Current State: 94:[86, 8], Operations: ['38-36=2', '16/2=8']
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
7,
37,
39,
33
] | 13
|
[
"37-7=30",
"33-30=3",
"39/3=13"
] |
Current State: 13:[7, 37, 39, 33], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [39, 33, 30]
Generated Node #2: [39, 33, 30] from Operation: 37-7=30
Current State: 13:[39, 33, 30], Operations: ['37-7=30']
Exploring Operation: 33-30=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 33-30=3
Current State: 13:[39, 3], Operations: ['37-7=30', '33-30=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
83,
54,
18,
60
] | 71
|
[
"83-54=29",
"60-18=42",
"29+42=71"
] |
Current State: 71:[83, 54, 18, 60], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [18, 60, 29]
Generated Node #2: [18, 60, 29] from Operation: 83-54=29
Current State: 71:[18, 60, 29], Operations: ['83-54=29']
Exploring Operation: 60-18=42, Resulting Numbers: [29, 42]
Generated Node #3: [29, 42] from Operation: 60-18=42
Current State: 71:[29, 42], Operations: ['83-54=29', '60-18=42']
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
99,
64,
2,
48
] | 66
|
[
"99*64=6336",
"2*48=96",
"6336/96=66"
] |
Current State: 66:[99, 64, 2, 48], Operations: []
Exploring Operation: 99*64=6336, Resulting Numbers: [2, 48, 6336]
Generated Node #2: [2, 48, 6336] from Operation: 99*64=6336
Current State: 66:[2, 48, 6336], Operations: ['99*64=6336']
Exploring Operation: 2*48=96, Resulting Numbers: [6336, 96]
Generated Node #3: [6336, 96] from Operation: 2*48=96
Current State: 66:[6336, 96], Operations: ['99*64=6336', '2*48=96']
Exploring Operation: 6336/96=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
75,
74,
74,
16
] | 90
|
[
"75-74=1",
"74+16=90",
"1*90=90"
] |
Current State: 90:[75, 74, 74, 16], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [16, 1]
Generated Node #2: [16, 1] from Operation: 75-74=1
Current State: 90:[16, 1], Operations: ['75-74=1']
Exploring Operation: 74+16=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 74+16=90
Current State: 90:[1, 90], Operations: ['75-74=1', '74+16=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
37,
35,
25,
90
] | 63
|
[
"37-35=2",
"90-25=65",
"65-2=63"
] |
Current State: 63:[37, 35, 25, 90], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [25, 90, 2]
Generated Node #2: [25, 90, 2] from Operation: 37-35=2
Current State: 63:[25, 90, 2], Operations: ['37-35=2']
Exploring Operation: 90-25=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 90-25=65
Current State: 63:[2, 65], Operations: ['37-35=2', '90-25=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
10,
14,
76,
36
] | 10
|
[
"14-10=4",
"76-36=40",
"40/4=10"
] |
Current State: 10:[10, 14, 76, 36], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [76, 36, 4]
Generated Node #2: [76, 36, 4] from Operation: 14-10=4
Current State: 10:[76, 36, 4], Operations: ['14-10=4']
Exploring Operation: 76-36=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 76-36=40
Current State: 10:[4, 40], Operations: ['14-10=4', '76-36=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
81,
69,
53,
2
] | 77
|
[
"81-69=12",
"2*12=24",
"53+24=77"
] |
Current State: 77:[81, 69, 53, 2], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [53, 2, 12]
Generated Node #2: [53, 2, 12] from Operation: 81-69=12
Current State: 77:[53, 2, 12], Operations: ['81-69=12']
Exploring Operation: 2*12=24, Resulting Numbers: [53, 24]
Generated Node #3: [53, 24] from Operation: 2*12=24
Current State: 77:[53, 24], Operations: ['81-69=12', '2*12=24']
Exploring Operation: 53+24=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
[
40,
81,
37,
41
] | 79
|
[
"41-37=4",
"40*4=160",
"160-81=79"
] |
Current State: 79:[40, 81, 37, 41], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [40, 81, 4]
Generated Node #2: [40, 81, 4] from Operation: 41-37=4
Current State: 79:[40, 81, 4], Operations: ['41-37=4']
Exploring Operation: 40*4=160, Resulting Numbers: [81, 160]
Generated Node #3: [81, 160] from Operation: 40*4=160
Current State: 79:[81, 160], Operations: ['41-37=4', '40*4=160']
Exploring Operation: 160-81=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
98,
2,
95,
89
] | 94
|
[
"98+2=100",
"95-89=6",
"100-6=94"
] |
Current State: 94:[98, 2, 95, 89], Operations: []
Exploring Operation: 98+2=100, Resulting Numbers: [95, 89, 100]
Generated Node #2: [95, 89, 100] from Operation: 98+2=100
Current State: 94:[95, 89, 100], Operations: ['98+2=100']
Exploring Operation: 95-89=6, Resulting Numbers: [100, 6]
Generated Node #3: [100, 6] from Operation: 95-89=6
Current State: 94:[100, 6], Operations: ['98+2=100', '95-89=6']
Exploring Operation: 100-6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
42,
3,
14,
32
] | 87
|
[
"42/14=3",
"32-3=29",
"3*29=87"
] |
Current State: 87:[42, 3, 14, 32], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [3, 32, 3]
Generated Node #2: [3, 32, 3] from Operation: 42/14=3
Current State: 87:[3, 32, 3], Operations: ['42/14=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,87 equal: Goal Reached
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
42,
2,
91,
30
] | 68
|
[
"91-42=49",
"2*49=98",
"98-30=68"
] |
Current State: 68:[42, 2, 91, 30], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [2, 30, 49]
Generated Node #2: [2, 30, 49] from Operation: 91-42=49
Current State: 68:[2, 30, 49], Operations: ['91-42=49']
Exploring Operation: 2*49=98, Resulting Numbers: [30, 98]
Generated Node #3: [30, 98] from Operation: 2*49=98
Current State: 68:[30, 98], Operations: ['91-42=49', '2*49=98']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
32,
17,
7,
38
] | 67
|
[
"32-17=15",
"7*15=105",
"105-38=67"
] |
Current State: 67:[32, 17, 7, 38], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [7, 38, 15]
Generated Node #2: [7, 38, 15] from Operation: 32-17=15
Current State: 67:[7, 38, 15], Operations: ['32-17=15']
Exploring Operation: 7*15=105, Resulting Numbers: [38, 105]
Generated Node #3: [38, 105] from Operation: 7*15=105
Current State: 67:[38, 105], Operations: ['32-17=15', '7*15=105']
Exploring Operation: 105-38=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
18,
39,
85,
53
] | 81
|
[
"18+39=57",
"85+53=138",
"138-57=81"
] |
Current State: 81:[18, 39, 85, 53], Operations: []
Exploring Operation: 18+39=57, Resulting Numbers: [85, 53, 57]
Generated Node #2: [85, 53, 57] from Operation: 18+39=57
Current State: 81:[85, 53, 57], Operations: ['18+39=57']
Exploring Operation: 85+53=138, Resulting Numbers: [57, 138]
Generated Node #3: [57, 138] from Operation: 85+53=138
Current State: 81:[57, 138], Operations: ['18+39=57', '85+53=138']
Exploring Operation: 138-57=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
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