nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
41,
89,
51,
70
] | 29 | [
"89-41=48",
"70-51=19",
"48-19=29"
] | Current State: 29:[41, 89, 51, 70], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [51, 70, 48]
Generated Node #2: [51, 70, 48] from Operation: 89-41=48
Current State: 29:[51, 70, 48], Operations: ['89-41=48']
Exploring Operation: 70-51=19, Resulting Numbers: [48, 19]
Generated Node #3: [48, 19] from Operation: 70-51=19
Current State: 29:[48, 19], Operations: ['89-41=48', '70-51=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
81,
54,
89,
45
] | 66 | [
"89-45=44",
"81*44=3564",
"3564/54=66"
] | Current State: 66:[81, 54, 89, 45], Operations: []
Exploring Operation: 89-45=44, Resulting Numbers: [81, 54, 44]
Generated Node #2: [81, 54, 44] from Operation: 89-45=44
Current State: 66:[81, 54, 44], Operations: ['89-45=44']
Exploring Operation: 81*44=3564, Resulting Numbers: [54, 3564]
Generated Node #3: [54, 3564] from Operation: 81*44=3564
Current State: 66:[54, 3564], Operations: ['89-45=44', '81*44=3564']
Exploring Operation: 3564/54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
60,
73,
9,
37
] | 87 | [
"60+73=133",
"9+37=46",
"133-46=87"
] | Current State: 87:[60, 73, 9, 37], Operations: []
Exploring Operation: 60+73=133, Resulting Numbers: [9, 37, 133]
Generated Node #2: [9, 37, 133] from Operation: 60+73=133
Current State: 87:[9, 37, 133], Operations: ['60+73=133']
Exploring Operation: 9+37=46, Resulting Numbers: [133, 46]
Generated Node #3: [133, 46] from Operation: 9+37=46
Current State: 87:[133, 46], Operations: ['60+73=133', '9+37=46']
Exploring Operation: 133-46=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
48,
16,
14
] | 10 | [
"48-40=8",
"16-14=2",
"8+2=10"
] | Current State: 10:[40, 48, 16, 14], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [16, 14, 8]
Generated Node #2: [16, 14, 8] from Operation: 48-40=8
Current State: 10:[16, 14, 8], Operations: ['48-40=8']
Exploring Operation: 16-14=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 16-14=2
Current State: 10:[8, 2], Operations: ['48-40=8', '16-14=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
42,
42,
59
] | 73 | [
"15+59=74",
"42/42=1",
"74-1=73"
] | Current State: 73:[15, 42, 42, 59], Operations: []
Exploring Operation: 15+59=74, Resulting Numbers: [42, 42, 74]
Generated Node #2: [42, 42, 74] from Operation: 15+59=74
Current State: 73:[42, 42, 74], Operations: ['15+59=74']
Exploring Operation: 42/42=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 42/42=1
Current State: 73:[74, 1], Operations: ['15+59=74', '42/42=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
15,
88,
26,
27
] | 50 | [
"15+88=103",
"26+27=53",
"103-53=50"
] | Current State: 50:[15, 88, 26, 27], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [26, 27, 103]
Generated Node #2: [26, 27, 103] from Operation: 15+88=103
Current State: 50:[26, 27, 103], Operations: ['15+88=103']
Exploring Operation: 26+27=53, Resulting Numbers: [103, 53]
Generated Node #3: [103, 53] from Operation: 26+27=53
Current State: 50:[103, 53], Operations: ['15+88=103', '26+27=53']
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
93,
91,
78,
52
] | 97 | [
"91-78=13",
"52/13=4",
"93+4=97"
] | Current State: 97:[93, 91, 78, 52], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [93, 52, 13]
Generated Node #2: [93, 52, 13] from Operation: 91-78=13
Current State: 97:[93, 52, 13], Operations: ['91-78=13']
Exploring Operation: 52/13=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 52/13=4
Current State: 97:[93, 4], Operations: ['91-78=13', '52/13=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
28,
15,
79,
2
] | 79 | [
"28/2=14",
"15-14=1",
"79*1=79"
] | Current State: 79:[28, 15, 79, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [15, 79, 14]
Generated Node #2: [15, 79, 14] from Operation: 28/2=14
Current State: 79:[15, 79, 14], Operations: ['28/2=14']
Exploring Operation: 15-14=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 15-14=1
Current State: 79:[79, 1], Operations: ['28/2=14', '15-14=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
8,
90,
4
] | 16 | [
"37*8=296",
"296/4=74",
"90-74=16"
] | Current State: 16:[37, 8, 90, 4], Operations: []
Exploring Operation: 37*8=296, Resulting Numbers: [90, 4, 296]
Generated Node #2: [90, 4, 296] from Operation: 37*8=296
Current State: 16:[90, 4, 296], Operations: ['37*8=296']
Exploring Operation: 296/4=74, Resulting Numbers: [90, 74]
Generated Node #3: [90, 74] from Operation: 296/4=74
Current State: 16:[90, 74], Operations: ['37*8=296', '296/4=74']
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
60,
8,
43,
61
] | 35 | [
"61-60=1",
"43-8=35",
"1*35=35"
] | Current State: 35:[60, 8, 43, 61], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [8, 43, 1]
Generated Node #2: [8, 43, 1] from Operation: 61-60=1
Current State: 35:[8, 43, 1], Operations: ['61-60=1']
Exploring Operation: 43-8=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 43-8=35
Current State: 35:[1, 35], Operations: ['61-60=1', '43-8=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
21,
98,
23
] | 93 | [
"98/2=49",
"21+23=44",
"49+44=93"
] | Current State: 93:[2, 21, 98, 23], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [21, 23, 49]
Generated Node #2: [21, 23, 49] from Operation: 98/2=49
Current State: 93:[21, 23, 49], Operations: ['98/2=49']
Exploring Operation: 21+23=44, Resulting Numbers: [49, 44]
Generated Node #3: [49, 44] from Operation: 21+23=44
Current State: 93:[49, 44], Operations: ['98/2=49', '21+23=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
10,
68,
27,
14
] | 40 | [
"14-10=4",
"27*4=108",
"108-68=40"
] | Current State: 40:[10, 68, 27, 14], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [68, 27, 4]
Generated Node #2: [68, 27, 4] from Operation: 14-10=4
Current State: 40:[68, 27, 4], Operations: ['14-10=4']
Exploring Operation: 27*4=108, Resulting Numbers: [68, 108]
Generated Node #3: [68, 108] from Operation: 27*4=108
Current State: 40:[68, 108], Operations: ['14-10=4', '27*4=108']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
59,
41,
11
] | 84 | [
"59-41=18",
"18-11=7",
"12*7=84"
] | Current State: 84:[12, 59, 41, 11], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [12, 11, 18]
Generated Node #2: [12, 11, 18] from Operation: 59-41=18
Current State: 84:[12, 11, 18], Operations: ['59-41=18']
Exploring Operation: 18-11=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 18-11=7
Current State: 84:[12, 7], Operations: ['59-41=18', '18-11=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
27,
16,
91,
96
] | 71 | [
"27*96=2592",
"2592/16=162",
"162-91=71"
] | Current State: 71:[27, 16, 91, 96], Operations: []
Exploring Operation: 27*96=2592, Resulting Numbers: [16, 91, 2592]
Generated Node #2: [16, 91, 2592] from Operation: 27*96=2592
Current State: 71:[16, 91, 2592], Operations: ['27*96=2592']
Exploring Operation: 2592/16=162, Resulting Numbers: [91, 162]
Generated Node #3: [91, 162] from Operation: 2592/16=162
Current State: 71:[91, 162], Operations: ['27*96=2592', '2592/16=162']
Exploring Operation: 162-91=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
4,
18,
34
] | 50 | [
"39-18=21",
"4*21=84",
"84-34=50"
] | Current State: 50:[39, 4, 18, 34], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [4, 34, 21]
Generated Node #2: [4, 34, 21] from Operation: 39-18=21
Current State: 50:[4, 34, 21], Operations: ['39-18=21']
Exploring Operation: 4*21=84, Resulting Numbers: [34, 84]
Generated Node #3: [34, 84] from Operation: 4*21=84
Current State: 50:[34, 84], Operations: ['39-18=21', '4*21=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
41,
62,
31
] | 83 | [
"40+41=81",
"62/31=2",
"81+2=83"
] | Current State: 83:[40, 41, 62, 31], Operations: []
Exploring Operation: 40+41=81, Resulting Numbers: [62, 31, 81]
Generated Node #2: [62, 31, 81] from Operation: 40+41=81
Current State: 83:[62, 31, 81], Operations: ['40+41=81']
Exploring Operation: 62/31=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 62/31=2
Current State: 83:[81, 2], Operations: ['40+41=81', '62/31=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
87,
65,
39,
77
] | 16 | [
"87-65=22",
"77-39=38",
"38-22=16"
] | Current State: 16:[87, 65, 39, 77], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [39, 77, 22]
Generated Node #2: [39, 77, 22] from Operation: 87-65=22
Current State: 16:[39, 77, 22], Operations: ['87-65=22']
Exploring Operation: 77-39=38, Resulting Numbers: [22, 38]
Generated Node #3: [22, 38] from Operation: 77-39=38
Current State: 16:[22, 38], Operations: ['87-65=22', '77-39=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
8,
25,
9
] | 40 | [
"45/9=5",
"8*25=200",
"200/5=40"
] | Current State: 40:[45, 8, 25, 9], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [8, 25, 5]
Generated Node #2: [8, 25, 5] from Operation: 45/9=5
Current State: 40:[8, 25, 5], Operations: ['45/9=5']
Exploring Operation: 8*25=200, Resulting Numbers: [5, 200]
Generated Node #3: [5, 200] from Operation: 8*25=200
Current State: 40:[5, 200], Operations: ['45/9=5', '8*25=200']
Exploring Operation: 200/5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
7,
25,
29,
22
] | 12 | [
"7+29=36",
"25-22=3",
"36/3=12"
] | Current State: 12:[7, 25, 29, 22], Operations: []
Exploring Operation: 7+29=36, Resulting Numbers: [25, 22, 36]
Generated Node #2: [25, 22, 36] from Operation: 7+29=36
Current State: 12:[25, 22, 36], Operations: ['7+29=36']
Exploring Operation: 25-22=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 25-22=3
Current State: 12:[36, 3], Operations: ['7+29=36', '25-22=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
21,
23,
4,
45
] | 29 | [
"45-21=24",
"24/4=6",
"23+6=29"
] | Current State: 29:[21, 23, 4, 45], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [23, 4, 24]
Generated Node #2: [23, 4, 24] from Operation: 45-21=24
Current State: 29:[23, 4, 24], Operations: ['45-21=24']
Exploring Operation: 24/4=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 24/4=6
Current State: 29:[23, 6], Operations: ['45-21=24', '24/4=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
7,
82,
81,
69
] | 62 | [
"69-7=62",
"82-81=1",
"62*1=62"
] | Current State: 62:[7, 82, 81, 69], Operations: []
Exploring Operation: 69-7=62, Resulting Numbers: [82, 81, 62]
Generated Node #2: [82, 81, 62] from Operation: 69-7=62
Current State: 62:[82, 81, 62], Operations: ['69-7=62']
Exploring Operation: 82-81=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 82-81=1
Current State: 62:[62, 1], Operations: ['69-7=62', '82-81=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
64,
43,
24,
52
] | 97 | [
"64-43=21",
"24+52=76",
"21+76=97"
] | Current State: 97:[64, 43, 24, 52], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [24, 52, 21]
Generated Node #2: [24, 52, 21] from Operation: 64-43=21
Current State: 97:[24, 52, 21], Operations: ['64-43=21']
Exploring Operation: 24+52=76, Resulting Numbers: [21, 76]
Generated Node #3: [21, 76] from Operation: 24+52=76
Current State: 97:[21, 76], Operations: ['64-43=21', '24+52=76']
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
29,
17,
7,
45
] | 84 | [
"29+17=46",
"45-7=38",
"46+38=84"
] | Current State: 84:[29, 17, 7, 45], Operations: []
Exploring Operation: 29+17=46, Resulting Numbers: [7, 45, 46]
Generated Node #2: [7, 45, 46] from Operation: 29+17=46
Current State: 84:[7, 45, 46], Operations: ['29+17=46']
Exploring Operation: 45-7=38, Resulting Numbers: [46, 38]
Generated Node #3: [46, 38] from Operation: 45-7=38
Current State: 84:[46, 38], Operations: ['29+17=46', '45-7=38']
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
77,
6,
39
] | 79 | [
"24/6=4",
"39*4=156",
"156-77=79"
] | Current State: 79:[24, 77, 6, 39], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [77, 39, 4]
Generated Node #2: [77, 39, 4] from Operation: 24/6=4
Current State: 79:[77, 39, 4], Operations: ['24/6=4']
Exploring Operation: 39*4=156, Resulting Numbers: [77, 156]
Generated Node #3: [77, 156] from Operation: 39*4=156
Current State: 79:[77, 156], Operations: ['24/6=4', '39*4=156']
Exploring Operation: 156-77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
56,
7,
51,
95
] | 93 | [
"56-7=49",
"95-51=44",
"49+44=93"
] | Current State: 93:[56, 7, 51, 95], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [51, 95, 49]
Generated Node #2: [51, 95, 49] from Operation: 56-7=49
Current State: 93:[51, 95, 49], Operations: ['56-7=49']
Exploring Operation: 95-51=44, Resulting Numbers: [49, 44]
Generated Node #3: [49, 44] from Operation: 95-51=44
Current State: 93:[49, 44], Operations: ['56-7=49', '95-51=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
65,
6,
19,
13
] | 89 | [
"65*19=1235",
"1235/13=95",
"95-6=89"
] | Current State: 89:[65, 6, 19, 13], Operations: []
Exploring Operation: 65*19=1235, Resulting Numbers: [6, 13, 1235]
Generated Node #2: [6, 13, 1235] from Operation: 65*19=1235
Current State: 89:[6, 13, 1235], Operations: ['65*19=1235']
Exploring Operation: 1235/13=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 1235/13=95
Current State: 89:[6, 95], Operations: ['65*19=1235', '1235/13=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
47,
28,
43,
2
] | 52 | [
"47-43=4",
"28*2=56",
"56-4=52"
] | Current State: 52:[47, 28, 43, 2], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [28, 2, 4]
Generated Node #2: [28, 2, 4] from Operation: 47-43=4
Current State: 52:[28, 2, 4], Operations: ['47-43=4']
Exploring Operation: 28*2=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 28*2=56
Current State: 52:[4, 56], Operations: ['47-43=4', '28*2=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
65,
14,
97
] | 61 | [
"97-88=9",
"14*9=126",
"126-65=61"
] | Current State: 61:[88, 65, 14, 97], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [65, 14, 9]
Generated Node #2: [65, 14, 9] from Operation: 97-88=9
Current State: 61:[65, 14, 9], Operations: ['97-88=9']
Exploring Operation: 14*9=126, Resulting Numbers: [65, 126]
Generated Node #3: [65, 126] from Operation: 14*9=126
Current State: 61:[65, 126], Operations: ['97-88=9', '14*9=126']
Exploring Operation: 126-65=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
67,
70,
2,
43
] | 42 | [
"70-67=3",
"2+43=45",
"45-3=42"
] | Current State: 42:[67, 70, 2, 43], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [2, 43, 3]
Generated Node #2: [2, 43, 3] from Operation: 70-67=3
Current State: 42:[2, 43, 3], Operations: ['70-67=3']
Exploring Operation: 2+43=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 2+43=45
Current State: 42:[3, 45], Operations: ['70-67=3', '2+43=45']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
57,
46,
89
] | 69 | [
"83-57=26",
"89-46=43",
"26+43=69"
] | Current State: 69:[83, 57, 46, 89], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [46, 89, 26]
Generated Node #2: [46, 89, 26] from Operation: 83-57=26
Current State: 69:[46, 89, 26], Operations: ['83-57=26']
Exploring Operation: 89-46=43, Resulting Numbers: [26, 43]
Generated Node #3: [26, 43] from Operation: 89-46=43
Current State: 69:[26, 43], Operations: ['83-57=26', '89-46=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
43,
54,
47,
16
] | 66 | [
"43+54=97",
"47-16=31",
"97-31=66"
] | Current State: 66:[43, 54, 47, 16], Operations: []
Exploring Operation: 43+54=97, Resulting Numbers: [47, 16, 97]
Generated Node #2: [47, 16, 97] from Operation: 43+54=97
Current State: 66:[47, 16, 97], Operations: ['43+54=97']
Exploring Operation: 47-16=31, Resulting Numbers: [97, 31]
Generated Node #3: [97, 31] from Operation: 47-16=31
Current State: 66:[97, 31], Operations: ['43+54=97', '47-16=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
72,
14,
10,
65
] | 88 | [
"72-65=7",
"14*7=98",
"98-10=88"
] | Current State: 88:[72, 14, 10, 65], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [14, 10, 7]
Generated Node #2: [14, 10, 7] from Operation: 72-65=7
Current State: 88:[14, 10, 7], Operations: ['72-65=7']
Exploring Operation: 14*7=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 14*7=98
Current State: 88:[10, 98], Operations: ['72-65=7', '14*7=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
72,
93,
42,
18
] | 39 | [
"93-72=21",
"42+18=60",
"60-21=39"
] | Current State: 39:[72, 93, 42, 18], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [42, 18, 21]
Generated Node #2: [42, 18, 21] from Operation: 93-72=21
Current State: 39:[42, 18, 21], Operations: ['93-72=21']
Exploring Operation: 42+18=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 42+18=60
Current State: 39:[21, 60], Operations: ['93-72=21', '42+18=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
28,
83,
66,
32
] | 89 | [
"83-28=55",
"66-32=34",
"55+34=89"
] | Current State: 89:[28, 83, 66, 32], Operations: []
Exploring Operation: 83-28=55, Resulting Numbers: [66, 32, 55]
Generated Node #2: [66, 32, 55] from Operation: 83-28=55
Current State: 89:[66, 32, 55], Operations: ['83-28=55']
Exploring Operation: 66-32=34, Resulting Numbers: [55, 34]
Generated Node #3: [55, 34] from Operation: 66-32=34
Current State: 89:[55, 34], Operations: ['83-28=55', '66-32=34']
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
91,
88,
16
] | 95 | [
"88/22=4",
"16/4=4",
"91+4=95"
] | Current State: 95:[22, 91, 88, 16], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [91, 16, 4]
Generated Node #2: [91, 16, 4] from Operation: 88/22=4
Current State: 95:[91, 16, 4], Operations: ['88/22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 16/4=4
Current State: 95:[91, 4], Operations: ['88/22=4', '16/4=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
51,
94,
12,
65
] | 74 | [
"65-51=14",
"12*14=168",
"168-94=74"
] | Current State: 74:[51, 94, 12, 65], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [94, 12, 14]
Generated Node #2: [94, 12, 14] from Operation: 65-51=14
Current State: 74:[94, 12, 14], Operations: ['65-51=14']
Exploring Operation: 12*14=168, Resulting Numbers: [94, 168]
Generated Node #3: [94, 168] from Operation: 12*14=168
Current State: 74:[94, 168], Operations: ['65-51=14', '12*14=168']
Exploring Operation: 168-94=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
42,
60,
70,
41
] | 77 | [
"42*60=2520",
"2520/70=36",
"41+36=77"
] | Current State: 77:[42, 60, 70, 41], Operations: []
Exploring Operation: 42*60=2520, Resulting Numbers: [70, 41, 2520]
Generated Node #2: [70, 41, 2520] from Operation: 42*60=2520
Current State: 77:[70, 41, 2520], Operations: ['42*60=2520']
Exploring Operation: 2520/70=36, Resulting Numbers: [41, 36]
Generated Node #3: [41, 36] from Operation: 2520/70=36
Current State: 77:[41, 36], Operations: ['42*60=2520', '2520/70=36']
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
14,
10,
46,
74
] | 40 | [
"74-14=60",
"60/10=6",
"46-6=40"
] | Current State: 40:[14, 10, 46, 74], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [10, 46, 60]
Generated Node #2: [10, 46, 60] from Operation: 74-14=60
Current State: 40:[10, 46, 60], Operations: ['74-14=60']
Exploring Operation: 60/10=6, Resulting Numbers: [46, 6]
Generated Node #3: [46, 6] from Operation: 60/10=6
Current State: 40:[46, 6], Operations: ['74-14=60', '60/10=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
70,
50,
79
] | 94 | [
"21*50=1050",
"1050/70=15",
"79+15=94"
] | Current State: 94:[21, 70, 50, 79], Operations: []
Exploring Operation: 21*50=1050, Resulting Numbers: [70, 79, 1050]
Generated Node #2: [70, 79, 1050] from Operation: 21*50=1050
Current State: 94:[70, 79, 1050], Operations: ['21*50=1050']
Exploring Operation: 1050/70=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 1050/70=15
Current State: 94:[79, 15], Operations: ['21*50=1050', '1050/70=15']
Exploring Operation: 79+15=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
77,
87,
71
] | 70 | [
"10+77=87",
"87/87=1",
"71-1=70"
] | Current State: 70:[10, 77, 87, 71], Operations: []
Exploring Operation: 10+77=87, Resulting Numbers: [87, 71, 87]
Generated Node #2: [87, 71, 87] from Operation: 10+77=87
Current State: 70:[87, 71, 87], Operations: ['10+77=87']
Exploring Operation: 87/87=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 87/87=1
Current State: 70:[71, 1], Operations: ['10+77=87', '87/87=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
86,
40,
63
] | 81 | [
"86+40=126",
"126/7=18",
"63+18=81"
] | Current State: 81:[7, 86, 40, 63], Operations: []
Exploring Operation: 86+40=126, Resulting Numbers: [7, 63, 126]
Generated Node #2: [7, 63, 126] from Operation: 86+40=126
Current State: 81:[7, 63, 126], Operations: ['86+40=126']
Exploring Operation: 126/7=18, Resulting Numbers: [63, 18]
Generated Node #3: [63, 18] from Operation: 126/7=18
Current State: 81:[63, 18], Operations: ['86+40=126', '126/7=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
77,
35,
75,
3
] | 16 | [
"77-75=2",
"35-3=32",
"32/2=16"
] | Current State: 16:[77, 35, 75, 3], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [35, 3, 2]
Generated Node #2: [35, 3, 2] from Operation: 77-75=2
Current State: 16:[35, 3, 2], Operations: ['77-75=2']
Exploring Operation: 35-3=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 35-3=32
Current State: 16:[2, 32], Operations: ['77-75=2', '35-3=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
44,
22,
11,
24
] | 42 | [
"44/11=4",
"22+24=46",
"46-4=42"
] | Current State: 42:[44, 22, 11, 24], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [22, 24, 4]
Generated Node #2: [22, 24, 4] from Operation: 44/11=4
Current State: 42:[22, 24, 4], Operations: ['44/11=4']
Exploring Operation: 22+24=46, Resulting Numbers: [4, 46]
Generated Node #3: [4, 46] from Operation: 22+24=46
Current State: 42:[4, 46], Operations: ['44/11=4', '22+24=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
25,
20,
32,
57
] | 19 | [
"25+32=57",
"57/57=1",
"20-1=19"
] | Current State: 19:[25, 20, 32, 57], Operations: []
Exploring Operation: 25+32=57, Resulting Numbers: [20, 57, 57]
Generated Node #2: [20, 57, 57] from Operation: 25+32=57
Current State: 19:[20, 57, 57], Operations: ['25+32=57']
Exploring Operation: 57/57=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 57/57=1
Current State: 19:[20, 1], Operations: ['25+32=57', '57/57=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
1,
77,
41
] | 57 | [
"62-1=61",
"77+41=118",
"118-61=57"
] | Current State: 57:[62, 1, 77, 41], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [77, 41, 61]
Generated Node #2: [77, 41, 61] from Operation: 62-1=61
Current State: 57:[77, 41, 61], Operations: ['62-1=61']
Exploring Operation: 77+41=118, Resulting Numbers: [61, 118]
Generated Node #3: [61, 118] from Operation: 77+41=118
Current State: 57:[61, 118], Operations: ['62-1=61', '77+41=118']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
39,
39,
87,
70
] | 16 | [
"39/39=1",
"87-70=17",
"17-1=16"
] | Current State: 16:[39, 39, 87, 70], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [87, 70, 1]
Generated Node #2: [87, 70, 1] from Operation: 39/39=1
Current State: 16:[87, 70, 1], Operations: ['39/39=1']
Exploring Operation: 87-70=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 87-70=17
Current State: 16:[1, 17], Operations: ['39/39=1', '87-70=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
21,
37,
15
] | 63 | [
"66*21=1386",
"37-15=22",
"1386/22=63"
] | Current State: 63:[66, 21, 37, 15], Operations: []
Exploring Operation: 66*21=1386, Resulting Numbers: [37, 15, 1386]
Generated Node #2: [37, 15, 1386] from Operation: 66*21=1386
Current State: 63:[37, 15, 1386], Operations: ['66*21=1386']
Exploring Operation: 37-15=22, Resulting Numbers: [1386, 22]
Generated Node #3: [1386, 22] from Operation: 37-15=22
Current State: 63:[1386, 22], Operations: ['66*21=1386', '37-15=22']
Exploring Operation: 1386/22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
91,
36,
47,
4
] | 47 | [
"91-47=44",
"44/4=11",
"36+11=47"
] | Current State: 47:[91, 36, 47, 4], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [36, 4, 44]
Generated Node #2: [36, 4, 44] from Operation: 91-47=44
Current State: 47:[36, 4, 44], Operations: ['91-47=44']
Exploring Operation: 44/4=11, Resulting Numbers: [36, 11]
Generated Node #3: [36, 11] from Operation: 44/4=11
Current State: 47:[36, 11], Operations: ['91-47=44', '44/4=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
52,
32,
8,
22
] | 16 | [
"52-32=20",
"22-20=2",
"8*2=16"
] | Current State: 16:[52, 32, 8, 22], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [8, 22, 20]
Generated Node #2: [8, 22, 20] from Operation: 52-32=20
Current State: 16:[8, 22, 20], Operations: ['52-32=20']
Exploring Operation: 22-20=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 22-20=2
Current State: 16:[8, 2], Operations: ['52-32=20', '22-20=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
89,
92,
70,
87
] | 95 | [
"89-70=19",
"92-87=5",
"19*5=95"
] | Current State: 95:[89, 92, 70, 87], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [92, 87, 19]
Generated Node #2: [92, 87, 19] from Operation: 89-70=19
Current State: 95:[92, 87, 19], Operations: ['89-70=19']
Exploring Operation: 92-87=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 92-87=5
Current State: 95:[19, 5], Operations: ['89-70=19', '92-87=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
52,
60,
61,
63
] | 34 | [
"63-61=2",
"52/2=26",
"60-26=34"
] | Current State: 34:[52, 60, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [52, 60, 2]
Generated Node #2: [52, 60, 2] from Operation: 63-61=2
Current State: 34:[52, 60, 2], Operations: ['63-61=2']
Exploring Operation: 52/2=26, Resulting Numbers: [60, 26]
Generated Node #3: [60, 26] from Operation: 52/2=26
Current State: 34:[60, 26], Operations: ['63-61=2', '52/2=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
27,
29,
37,
3
] | 80 | [
"29-27=2",
"37+3=40",
"2*40=80"
] | Current State: 80:[27, 29, 37, 3], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [37, 3, 2]
Generated Node #2: [37, 3, 2] from Operation: 29-27=2
Current State: 80:[37, 3, 2], Operations: ['29-27=2']
Exploring Operation: 37+3=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 37+3=40
Current State: 80:[2, 40], Operations: ['29-27=2', '37+3=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
25,
15,
10,
55
] | 27 | [
"55-10=45",
"15*45=675",
"675/25=27"
] | Current State: 27:[25, 15, 10, 55], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [25, 15, 45]
Generated Node #2: [25, 15, 45] from Operation: 55-10=45
Current State: 27:[25, 15, 45], Operations: ['55-10=45']
Exploring Operation: 15*45=675, Resulting Numbers: [25, 675]
Generated Node #3: [25, 675] from Operation: 15*45=675
Current State: 27:[25, 675], Operations: ['55-10=45', '15*45=675']
Exploring Operation: 675/25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
1,
5,
56,
5
] | 31 | [
"1*5=5",
"5*5=25",
"56-25=31"
] | Current State: 31:[1, 5, 56, 5], Operations: []
Exploring Operation: 1*5=5, Resulting Numbers: [56, 5]
Generated Node #2: [56, 5] from Operation: 1*5=5
Current State: 31:[56, 5], Operations: ['1*5=5']
Exploring Operation: 5*5=25, Resulting Numbers: [56, 25]
Generated Node #3: [56, 25] from Operation: 5*5=25
Current State: 31:[56, 25], Operations: ['1*5=5', '5*5=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
21,
29,
79,
16
] | 45 | [
"21+29=50",
"79+16=95",
"95-50=45"
] | Current State: 45:[21, 29, 79, 16], Operations: []
Exploring Operation: 21+29=50, Resulting Numbers: [79, 16, 50]
Generated Node #2: [79, 16, 50] from Operation: 21+29=50
Current State: 45:[79, 16, 50], Operations: ['21+29=50']
Exploring Operation: 79+16=95, Resulting Numbers: [50, 95]
Generated Node #3: [50, 95] from Operation: 79+16=95
Current State: 45:[50, 95], Operations: ['21+29=50', '79+16=95']
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
16,
9,
8,
21
] | 49 | [
"21-16=5",
"8*5=40",
"9+40=49"
] | Current State: 49:[16, 9, 8, 21], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [9, 8, 5]
Generated Node #2: [9, 8, 5] from Operation: 21-16=5
Current State: 49:[9, 8, 5], Operations: ['21-16=5']
Exploring Operation: 8*5=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 8*5=40
Current State: 49:[9, 40], Operations: ['21-16=5', '8*5=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
67,
67,
88,
99
] | 53 | [
"67+67=134",
"88+99=187",
"187-134=53"
] | Current State: 53:[67, 67, 88, 99], Operations: []
Exploring Operation: 67+67=134, Resulting Numbers: [88, 99, 134]
Generated Node #2: [88, 99, 134] from Operation: 67+67=134
Current State: 53:[88, 99, 134], Operations: ['67+67=134']
Exploring Operation: 88+99=187, Resulting Numbers: [134, 187]
Generated Node #3: [134, 187] from Operation: 88+99=187
Current State: 53:[134, 187], Operations: ['67+67=134', '88+99=187']
Exploring Operation: 187-134=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
36,
40,
12,
38
] | 30 | [
"40-36=4",
"38-12=26",
"4+26=30"
] | Current State: 30:[36, 40, 12, 38], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [12, 38, 4]
Generated Node #2: [12, 38, 4] from Operation: 40-36=4
Current State: 30:[12, 38, 4], Operations: ['40-36=4']
Exploring Operation: 38-12=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 38-12=26
Current State: 30:[4, 26], Operations: ['40-36=4', '38-12=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
25,
57,
55
] | 41 | [
"25+55=80",
"80/5=16",
"57-16=41"
] | Current State: 41:[5, 25, 57, 55], Operations: []
Exploring Operation: 25+55=80, Resulting Numbers: [5, 57, 80]
Generated Node #2: [5, 57, 80] from Operation: 25+55=80
Current State: 41:[5, 57, 80], Operations: ['25+55=80']
Exploring Operation: 80/5=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 80/5=16
Current State: 41:[57, 16], Operations: ['25+55=80', '80/5=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
21,
88,
32,
79
] | 99 | [
"32-21=11",
"88-79=9",
"11*9=99"
] | Current State: 99:[21, 88, 32, 79], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [88, 79, 11]
Generated Node #2: [88, 79, 11] from Operation: 32-21=11
Current State: 99:[88, 79, 11], Operations: ['32-21=11']
Exploring Operation: 88-79=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 88-79=9
Current State: 99:[11, 9], Operations: ['32-21=11', '88-79=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
24,
21,
20,
7
] | 36 | [
"21*20=420",
"420/7=60",
"60-24=36"
] | Current State: 36:[24, 21, 20, 7], Operations: []
Exploring Operation: 21*20=420, Resulting Numbers: [24, 7, 420]
Generated Node #2: [24, 7, 420] from Operation: 21*20=420
Current State: 36:[24, 7, 420], Operations: ['21*20=420']
Exploring Operation: 420/7=60, Resulting Numbers: [24, 60]
Generated Node #3: [24, 60] from Operation: 420/7=60
Current State: 36:[24, 60], Operations: ['21*20=420', '420/7=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
54,
7,
91,
3
] | 15 | [
"91/7=13",
"3*13=39",
"54-39=15"
] | Current State: 15:[54, 7, 91, 3], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [54, 3, 13]
Generated Node #2: [54, 3, 13] from Operation: 91/7=13
Current State: 15:[54, 3, 13], Operations: ['91/7=13']
Exploring Operation: 3*13=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 3*13=39
Current State: 15:[54, 39], Operations: ['91/7=13', '3*13=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
15,
96,
36,
64
] | 24 | [
"15*96=1440",
"1440/36=40",
"64-40=24"
] | Current State: 24:[15, 96, 36, 64], Operations: []
Exploring Operation: 15*96=1440, Resulting Numbers: [36, 64, 1440]
Generated Node #2: [36, 64, 1440] from Operation: 15*96=1440
Current State: 24:[36, 64, 1440], Operations: ['15*96=1440']
Exploring Operation: 1440/36=40, Resulting Numbers: [64, 40]
Generated Node #3: [64, 40] from Operation: 1440/36=40
Current State: 24:[64, 40], Operations: ['15*96=1440', '1440/36=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
9,
12,
33,
46
] | 100 | [
"9+12=21",
"33+46=79",
"21+79=100"
] | Current State: 100:[9, 12, 33, 46], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [33, 46, 21]
Generated Node #2: [33, 46, 21] from Operation: 9+12=21
Current State: 100:[33, 46, 21], Operations: ['9+12=21']
Exploring Operation: 33+46=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 33+46=79
Current State: 100:[21, 79], Operations: ['9+12=21', '33+46=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
34,
64,
37,
90
] | 40 | [
"64-34=30",
"90/30=3",
"37+3=40"
] | Current State: 40:[34, 64, 37, 90], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [37, 90, 30]
Generated Node #2: [37, 90, 30] from Operation: 64-34=30
Current State: 40:[37, 90, 30], Operations: ['64-34=30']
Exploring Operation: 90/30=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 90/30=3
Current State: 40:[37, 3], Operations: ['64-34=30', '90/30=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
71,
38,
46,
18
] | 45 | [
"71+38=109",
"46+18=64",
"109-64=45"
] | Current State: 45:[71, 38, 46, 18], Operations: []
Exploring Operation: 71+38=109, Resulting Numbers: [46, 18, 109]
Generated Node #2: [46, 18, 109] from Operation: 71+38=109
Current State: 45:[46, 18, 109], Operations: ['71+38=109']
Exploring Operation: 46+18=64, Resulting Numbers: [109, 64]
Generated Node #3: [109, 64] from Operation: 46+18=64
Current State: 45:[109, 64], Operations: ['71+38=109', '46+18=64']
Exploring Operation: 109-64=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
35,
85,
21
] | 84 | [
"35-14=21",
"21/21=1",
"85-1=84"
] | Current State: 84:[14, 35, 85, 21], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [85, 21, 21]
Generated Node #2: [85, 21, 21] from Operation: 35-14=21
Current State: 84:[85, 21, 21], Operations: ['35-14=21']
Exploring Operation: 21/21=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 21/21=1
Current State: 84:[85, 1], Operations: ['35-14=21', '21/21=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
94,
38,
41
] | 87 | [
"85*41=3485",
"94*38=3572",
"3572-3485=87"
] | Current State: 87:[85, 94, 38, 41], Operations: []
Exploring Operation: 85*41=3485, Resulting Numbers: [94, 38, 3485]
Generated Node #2: [94, 38, 3485] from Operation: 85*41=3485
Current State: 87:[94, 38, 3485], Operations: ['85*41=3485']
Exploring Operation: 94*38=3572, Resulting Numbers: [3485, 3572]
Generated Node #3: [3485, 3572] from Operation: 94*38=3572
Current State: 87:[3485, 3572], Operations: ['85*41=3485', '94*38=3572']
Exploring Operation: 3572-3485=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
15,
20,
27,
90
] | 45 | [
"20-15=5",
"27*5=135",
"135-90=45"
] | Current State: 45:[15, 20, 27, 90], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [27, 90, 5]
Generated Node #2: [27, 90, 5] from Operation: 20-15=5
Current State: 45:[27, 90, 5], Operations: ['20-15=5']
Exploring Operation: 27*5=135, Resulting Numbers: [90, 135]
Generated Node #3: [90, 135] from Operation: 27*5=135
Current State: 45:[90, 135], Operations: ['20-15=5', '27*5=135']
Exploring Operation: 135-90=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
91,
94,
5,
55
] | 33 | [
"94-91=3",
"55/5=11",
"3*11=33"
] | Current State: 33:[91, 94, 5, 55], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 55, 3]
Generated Node #2: [5, 55, 3] from Operation: 94-91=3
Current State: 33:[5, 55, 3], Operations: ['94-91=3']
Exploring Operation: 55/5=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 55/5=11
Current State: 33:[3, 11], Operations: ['94-91=3', '55/5=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
91,
30,
43,
52
] | 70 | [
"91-30=61",
"52-43=9",
"61+9=70"
] | Current State: 70:[91, 30, 43, 52], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [43, 52, 61]
Generated Node #2: [43, 52, 61] from Operation: 91-30=61
Current State: 70:[43, 52, 61], Operations: ['91-30=61']
Exploring Operation: 52-43=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 52-43=9
Current State: 70:[61, 9], Operations: ['91-30=61', '52-43=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
33,
84,
94,
66
] | 89 | [
"33+84=117",
"94-66=28",
"117-28=89"
] | Current State: 89:[33, 84, 94, 66], Operations: []
Exploring Operation: 33+84=117, Resulting Numbers: [94, 66, 117]
Generated Node #2: [94, 66, 117] from Operation: 33+84=117
Current State: 89:[94, 66, 117], Operations: ['33+84=117']
Exploring Operation: 94-66=28, Resulting Numbers: [117, 28]
Generated Node #3: [117, 28] from Operation: 94-66=28
Current State: 89:[117, 28], Operations: ['33+84=117', '94-66=28']
Exploring Operation: 117-28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
72,
18,
61,
22
] | 35 | [
"72/18=4",
"61-22=39",
"39-4=35"
] | Current State: 35:[72, 18, 61, 22], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [61, 22, 4]
Generated Node #2: [61, 22, 4] from Operation: 72/18=4
Current State: 35:[61, 22, 4], Operations: ['72/18=4']
Exploring Operation: 61-22=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 61-22=39
Current State: 35:[4, 39], Operations: ['72/18=4', '61-22=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
71,
6,
84
] | 71 | [
"90+71=161",
"6+84=90",
"161-90=71"
] | Current State: 71:[90, 71, 6, 84], Operations: []
Exploring Operation: 90+71=161, Resulting Numbers: [6, 84, 161]
Generated Node #2: [6, 84, 161] from Operation: 90+71=161
Current State: 71:[6, 84, 161], Operations: ['90+71=161']
Exploring Operation: 6+84=90, Resulting Numbers: [161, 90]
Generated Node #3: [161, 90] from Operation: 6+84=90
Current State: 71:[161, 90], Operations: ['90+71=161', '6+84=90']
Exploring Operation: 161-90=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
23,
10,
7,
10
] | 70 | [
"23+7=30",
"10*10=100",
"100-30=70"
] | Current State: 70:[23, 10, 7, 10], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [10, 10, 30]
Generated Node #2: [10, 10, 30] from Operation: 23+7=30
Current State: 70:[10, 10, 30], Operations: ['23+7=30']
Exploring Operation: 10*10=100, Resulting Numbers: [30, 100]
Generated Node #3: [30, 100] from Operation: 10*10=100
Current State: 70:[30, 100], Operations: ['23+7=30', '10*10=100']
Exploring Operation: 100-30=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
94,
17,
97,
28
] | 15 | [
"97-94=3",
"17+28=45",
"45/3=15"
] | Current State: 15:[94, 17, 97, 28], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [17, 28, 3]
Generated Node #2: [17, 28, 3] from Operation: 97-94=3
Current State: 15:[17, 28, 3], Operations: ['97-94=3']
Exploring Operation: 17+28=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 17+28=45
Current State: 15:[3, 45], Operations: ['97-94=3', '17+28=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
13,
88,
84
] | 62 | [
"79-13=66",
"88-84=4",
"66-4=62"
] | Current State: 62:[79, 13, 88, 84], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [88, 84, 66]
Generated Node #2: [88, 84, 66] from Operation: 79-13=66
Current State: 62:[88, 84, 66], Operations: ['79-13=66']
Exploring Operation: 88-84=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 88-84=4
Current State: 62:[66, 4], Operations: ['79-13=66', '88-84=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
82,
59,
2,
96
] | 43 | [
"82+59=141",
"2+96=98",
"141-98=43"
] | Current State: 43:[82, 59, 2, 96], Operations: []
Exploring Operation: 82+59=141, Resulting Numbers: [2, 96, 141]
Generated Node #2: [2, 96, 141] from Operation: 82+59=141
Current State: 43:[2, 96, 141], Operations: ['82+59=141']
Exploring Operation: 2+96=98, Resulting Numbers: [141, 98]
Generated Node #3: [141, 98] from Operation: 2+96=98
Current State: 43:[141, 98], Operations: ['82+59=141', '2+96=98']
Exploring Operation: 141-98=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
50,
6,
96,
51
] | 100 | [
"6+96=102",
"50*102=5100",
"5100/51=100"
] | Current State: 100:[50, 6, 96, 51], Operations: []
Exploring Operation: 6+96=102, Resulting Numbers: [50, 51, 102]
Generated Node #2: [50, 51, 102] from Operation: 6+96=102
Current State: 100:[50, 51, 102], Operations: ['6+96=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [51, 5100]
Generated Node #3: [51, 5100] from Operation: 50*102=5100
Current State: 100:[51, 5100], Operations: ['6+96=102', '50*102=5100']
Exploring Operation: 5100/51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
15,
93,
61,
98
] | 81 | [
"93-15=78",
"61+98=159",
"159-78=81"
] | Current State: 81:[15, 93, 61, 98], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [61, 98, 78]
Generated Node #2: [61, 98, 78] from Operation: 93-15=78
Current State: 81:[61, 98, 78], Operations: ['93-15=78']
Exploring Operation: 61+98=159, Resulting Numbers: [78, 159]
Generated Node #3: [78, 159] from Operation: 61+98=159
Current State: 81:[78, 159], Operations: ['93-15=78', '61+98=159']
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
45,
20,
92,
43
] | 95 | [
"45*43=1935",
"20*92=1840",
"1935-1840=95"
] | Current State: 95:[45, 20, 92, 43], Operations: []
Exploring Operation: 45*43=1935, Resulting Numbers: [20, 92, 1935]
Generated Node #2: [20, 92, 1935] from Operation: 45*43=1935
Current State: 95:[20, 92, 1935], Operations: ['45*43=1935']
Exploring Operation: 20*92=1840, Resulting Numbers: [1935, 1840]
Generated Node #3: [1935, 1840] from Operation: 20*92=1840
Current State: 95:[1935, 1840], Operations: ['45*43=1935', '20*92=1840']
Exploring Operation: 1935-1840=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
30,
35,
15,
86
] | 96 | [
"35-30=5",
"15+86=101",
"101-5=96"
] | Current State: 96:[30, 35, 15, 86], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [15, 86, 5]
Generated Node #2: [15, 86, 5] from Operation: 35-30=5
Current State: 96:[15, 86, 5], Operations: ['35-30=5']
Exploring Operation: 15+86=101, Resulting Numbers: [5, 101]
Generated Node #3: [5, 101] from Operation: 15+86=101
Current State: 96:[5, 101], Operations: ['35-30=5', '15+86=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
38,
13,
1,
58
] | 32 | [
"38-13=25",
"58-1=57",
"57-25=32"
] | Current State: 32:[38, 13, 1, 58], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [1, 58, 25]
Generated Node #2: [1, 58, 25] from Operation: 38-13=25
Current State: 32:[1, 58, 25], Operations: ['38-13=25']
Exploring Operation: 58-1=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 58-1=57
Current State: 32:[25, 57], Operations: ['38-13=25', '58-1=57']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
65,
17,
57,
6
] | 20 | [
"65+57=122",
"17*6=102",
"122-102=20"
] | Current State: 20:[65, 17, 57, 6], Operations: []
Exploring Operation: 65+57=122, Resulting Numbers: [17, 6, 122]
Generated Node #2: [17, 6, 122] from Operation: 65+57=122
Current State: 20:[17, 6, 122], Operations: ['65+57=122']
Exploring Operation: 17*6=102, Resulting Numbers: [122, 102]
Generated Node #3: [122, 102] from Operation: 17*6=102
Current State: 20:[122, 102], Operations: ['65+57=122', '17*6=102']
Exploring Operation: 122-102=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
18,
74,
7,
39
] | 91 | [
"18*7=126",
"74-39=35",
"126-35=91"
] | Current State: 91:[18, 74, 7, 39], Operations: []
Exploring Operation: 18*7=126, Resulting Numbers: [74, 39, 126]
Generated Node #2: [74, 39, 126] from Operation: 18*7=126
Current State: 91:[74, 39, 126], Operations: ['18*7=126']
Exploring Operation: 74-39=35, Resulting Numbers: [126, 35]
Generated Node #3: [126, 35] from Operation: 74-39=35
Current State: 91:[126, 35], Operations: ['18*7=126', '74-39=35']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
3,
61,
89
] | 33 | [
"17+61=78",
"89-78=11",
"3*11=33"
] | Current State: 33:[17, 3, 61, 89], Operations: []
Exploring Operation: 17+61=78, Resulting Numbers: [3, 89, 78]
Generated Node #2: [3, 89, 78] from Operation: 17+61=78
Current State: 33:[3, 89, 78], Operations: ['17+61=78']
Exploring Operation: 89-78=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 89-78=11
Current State: 33:[3, 11], Operations: ['17+61=78', '89-78=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
90,
80,
89,
52
] | 62 | [
"89-80=9",
"90/9=10",
"52+10=62"
] | Current State: 62:[90, 80, 89, 52], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [90, 52, 9]
Generated Node #2: [90, 52, 9] from Operation: 89-80=9
Current State: 62:[90, 52, 9], Operations: ['89-80=9']
Exploring Operation: 90/9=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 90/9=10
Current State: 62:[52, 10], Operations: ['89-80=9', '90/9=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
38,
22,
70,
41
] | 95 | [
"38-22=16",
"70+41=111",
"111-16=95"
] | Current State: 95:[38, 22, 70, 41], Operations: []
Exploring Operation: 38-22=16, Resulting Numbers: [70, 41, 16]
Generated Node #2: [70, 41, 16] from Operation: 38-22=16
Current State: 95:[70, 41, 16], Operations: ['38-22=16']
Exploring Operation: 70+41=111, Resulting Numbers: [16, 111]
Generated Node #3: [16, 111] from Operation: 70+41=111
Current State: 95:[16, 111], Operations: ['38-22=16', '70+41=111']
Exploring Operation: 111-16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
43,
63,
48
] | 37 | [
"43-21=22",
"63-48=15",
"22+15=37"
] | Current State: 37:[21, 43, 63, 48], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [63, 48, 22]
Generated Node #2: [63, 48, 22] from Operation: 43-21=22
Current State: 37:[63, 48, 22], Operations: ['43-21=22']
Exploring Operation: 63-48=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 63-48=15
Current State: 37:[22, 15], Operations: ['43-21=22', '63-48=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
27,
35,
19,
17
] | 26 | [
"27+35=62",
"19+17=36",
"62-36=26"
] | Current State: 26:[27, 35, 19, 17], Operations: []
Exploring Operation: 27+35=62, Resulting Numbers: [19, 17, 62]
Generated Node #2: [19, 17, 62] from Operation: 27+35=62
Current State: 26:[19, 17, 62], Operations: ['27+35=62']
Exploring Operation: 19+17=36, Resulting Numbers: [62, 36]
Generated Node #3: [62, 36] from Operation: 19+17=36
Current State: 26:[62, 36], Operations: ['27+35=62', '19+17=36']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
55,
86,
10,
84
] | 43 | [
"86-55=31",
"84-10=74",
"74-31=43"
] | Current State: 43:[55, 86, 10, 84], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [10, 84, 31]
Generated Node #2: [10, 84, 31] from Operation: 86-55=31
Current State: 43:[10, 84, 31], Operations: ['86-55=31']
Exploring Operation: 84-10=74, Resulting Numbers: [31, 74]
Generated Node #3: [31, 74] from Operation: 84-10=74
Current State: 43:[31, 74], Operations: ['86-55=31', '84-10=74']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
51,
11,
71,
69
] | 100 | [
"51-11=40",
"71+69=140",
"140-40=100"
] | Current State: 100:[51, 11, 71, 69], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [71, 69, 40]
Generated Node #2: [71, 69, 40] from Operation: 51-11=40
Current State: 100:[71, 69, 40], Operations: ['51-11=40']
Exploring Operation: 71+69=140, Resulting Numbers: [40, 140]
Generated Node #3: [40, 140] from Operation: 71+69=140
Current State: 100:[40, 140], Operations: ['51-11=40', '71+69=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
48,
5,
71,
88
] | 64 | [
"48*88=4224",
"71-5=66",
"4224/66=64"
] | Current State: 64:[48, 5, 71, 88], Operations: []
Exploring Operation: 48*88=4224, Resulting Numbers: [5, 71, 4224]
Generated Node #2: [5, 71, 4224] from Operation: 48*88=4224
Current State: 64:[5, 71, 4224], Operations: ['48*88=4224']
Exploring Operation: 71-5=66, Resulting Numbers: [4224, 66]
Generated Node #3: [4224, 66] from Operation: 71-5=66
Current State: 64:[4224, 66], Operations: ['48*88=4224', '71-5=66']
Exploring Operation: 4224/66=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
16,
54,
42,
94
] | 66 | [
"16+54=70",
"42+94=136",
"136-70=66"
] | Current State: 66:[16, 54, 42, 94], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [42, 94, 70]
Generated Node #2: [42, 94, 70] from Operation: 16+54=70
Current State: 66:[42, 94, 70], Operations: ['16+54=70']
Exploring Operation: 42+94=136, Resulting Numbers: [70, 136]
Generated Node #3: [70, 136] from Operation: 42+94=136
Current State: 66:[70, 136], Operations: ['16+54=70', '42+94=136']
Exploring Operation: 136-70=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
8,
74,
31
] | 11 | [
"45+74=119",
"119-31=88",
"88/8=11"
] | Current State: 11:[45, 8, 74, 31], Operations: []
Exploring Operation: 45+74=119, Resulting Numbers: [8, 31, 119]
Generated Node #2: [8, 31, 119] from Operation: 45+74=119
Current State: 11:[8, 31, 119], Operations: ['45+74=119']
Exploring Operation: 119-31=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 119-31=88
Current State: 11:[8, 88], Operations: ['45+74=119', '119-31=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
63,
32,
35,
76
] | 10 | [
"63-32=31",
"76-35=41",
"41-31=10"
] | Current State: 10:[63, 32, 35, 76], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [35, 76, 31]
Generated Node #2: [35, 76, 31] from Operation: 63-32=31
Current State: 10:[35, 76, 31], Operations: ['63-32=31']
Exploring Operation: 76-35=41, Resulting Numbers: [31, 41]
Generated Node #3: [31, 41] from Operation: 76-35=41
Current State: 10:[31, 41], Operations: ['63-32=31', '76-35=41']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
69,
42,
54,
50
] | 52 | [
"69-42=27",
"54/27=2",
"50+2=52"
] | Current State: 52:[69, 42, 54, 50], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [54, 50, 27]
Generated Node #2: [54, 50, 27] from Operation: 69-42=27
Current State: 52:[54, 50, 27], Operations: ['69-42=27']
Exploring Operation: 54/27=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 54/27=2
Current State: 52:[50, 2], Operations: ['69-42=27', '54/27=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
74,
8,
55,
16
] | 43 | [
"74+8=82",
"55-16=39",
"82-39=43"
] | Current State: 43:[74, 8, 55, 16], Operations: []
Exploring Operation: 74+8=82, Resulting Numbers: [55, 16, 82]
Generated Node #2: [55, 16, 82] from Operation: 74+8=82
Current State: 43:[55, 16, 82], Operations: ['74+8=82']
Exploring Operation: 55-16=39, Resulting Numbers: [82, 39]
Generated Node #3: [82, 39] from Operation: 55-16=39
Current State: 43:[82, 39], Operations: ['74+8=82', '55-16=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
30,
53,
64,
1
] | 87 | [
"53-30=23",
"64*1=64",
"23+64=87"
] | Current State: 87:[30, 53, 64, 1], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [64, 1, 23]
Generated Node #2: [64, 1, 23] from Operation: 53-30=23
Current State: 87:[64, 1, 23], Operations: ['53-30=23']
Exploring Operation: 64*1=64, Resulting Numbers: [23, 64]
Generated Node #3: [23, 64] from Operation: 64*1=64
Current State: 87:[23, 64], Operations: ['53-30=23', '64*1=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
25,
26,
77,
66
] | 92 | [
"25+26=51",
"77+66=143",
"143-51=92"
] | Current State: 92:[25, 26, 77, 66], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [77, 66, 51]
Generated Node #2: [77, 66, 51] from Operation: 25+26=51
Current State: 92:[77, 66, 51], Operations: ['25+26=51']
Exploring Operation: 77+66=143, Resulting Numbers: [51, 143]
Generated Node #3: [51, 143] from Operation: 77+66=143
Current State: 92:[51, 143], Operations: ['25+26=51', '77+66=143']
Exploring Operation: 143-51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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