nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
61,
50,
51,
55
] | 56
|
[
"61-50=11",
"55/11=5",
"51+5=56"
] |
Current State: 56:[61, 50, 51, 55], Operations: []
Exploring Operation: 61-50=11, Resulting Numbers: [51, 55, 11]
Generated Node #2: [51, 55, 11] from Operation: 61-50=11
Current State: 56:[51, 55, 11], Operations: ['61-50=11']
Exploring Operation: 55/11=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 55/11=5
Current State: 56:[51, 5], Operations: ['61-50=11', '55/11=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
27,
29,
36,
48
] | 60
|
[
"29-27=2",
"48*2=96",
"96-36=60"
] |
Current State: 60:[27, 29, 36, 48], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [36, 48, 2]
Generated Node #2: [36, 48, 2] from Operation: 29-27=2
Current State: 60:[36, 48, 2], Operations: ['29-27=2']
Exploring Operation: 48*2=96, Resulting Numbers: [36, 96]
Generated Node #3: [36, 96] from Operation: 48*2=96
Current State: 60:[36, 96], Operations: ['29-27=2', '48*2=96']
Exploring Operation: 96-36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
47,
3,
13,
3
] | 47
|
[
"3-3=0",
"13*0=0",
"47+0=47"
] |
Current State: 47:[47, 3, 13, 3], Operations: []
Exploring Operation: 3-3=0, Resulting Numbers: [47, 13, 0]
Generated Node #2: [47, 13, 0] from Operation: 3-3=0
Current State: 47:[47, 13, 0], Operations: ['3-3=0']
Exploring Operation: 13*0=0, Resulting Numbers: [47, 0]
Generated Node #3: [47, 0] from Operation: 13*0=0
Current State: 47:[47, 0], Operations: ['3-3=0', '13*0=0']
Exploring Operation: 47+0=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
20,
48,
36,
76
] | 79
|
[
"36-20=16",
"48/16=3",
"76+3=79"
] |
Current State: 79:[20, 48, 36, 76], Operations: []
Exploring Operation: 36-20=16, Resulting Numbers: [48, 76, 16]
Generated Node #2: [48, 76, 16] from Operation: 36-20=16
Current State: 79:[48, 76, 16], Operations: ['36-20=16']
Exploring Operation: 48/16=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 48/16=3
Current State: 79:[76, 3], Operations: ['36-20=16', '48/16=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
20,
13,
18,
65
] | 39
|
[
"20-18=2",
"13+65=78",
"78/2=39"
] |
Current State: 39:[20, 13, 18, 65], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [13, 65, 2]
Generated Node #2: [13, 65, 2] from Operation: 20-18=2
Current State: 39:[13, 65, 2], Operations: ['20-18=2']
Exploring Operation: 13+65=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 13+65=78
Current State: 39:[2, 78], Operations: ['20-18=2', '13+65=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
92,
35,
57,
31
] | 31
|
[
"92-35=57",
"57+31=88",
"88-57=31"
] |
Current State: 31:[92, 35, 57, 31], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [57, 31, 57]
Generated Node #2: [57, 31, 57] from Operation: 92-35=57
Current State: 31:[57, 31, 57], Operations: ['92-35=57']
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,31 equal: Goal Reached
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
10,
30,
7,
67
] | 88
|
[
"30/10=3",
"7*3=21",
"67+21=88"
] |
Current State: 88:[10, 30, 7, 67], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [7, 67, 3]
Generated Node #2: [7, 67, 3] from Operation: 30/10=3
Current State: 88:[7, 67, 3], Operations: ['30/10=3']
Exploring Operation: 7*3=21, Resulting Numbers: [67, 21]
Generated Node #3: [67, 21] from Operation: 7*3=21
Current State: 88:[67, 21], Operations: ['30/10=3', '7*3=21']
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
56,
14,
70,
91
] | 100
|
[
"56+70=126",
"126/14=9",
"91+9=100"
] |
Current State: 100:[56, 14, 70, 91], Operations: []
Exploring Operation: 56+70=126, Resulting Numbers: [14, 91, 126]
Generated Node #2: [14, 91, 126] from Operation: 56+70=126
Current State: 100:[14, 91, 126], Operations: ['56+70=126']
Exploring Operation: 126/14=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 126/14=9
Current State: 100:[91, 9], Operations: ['56+70=126', '126/14=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
23,
39,
17,
57
] | 85
|
[
"23+39=62",
"62-57=5",
"17*5=85"
] |
Current State: 85:[23, 39, 17, 57], Operations: []
Exploring Operation: 23+39=62, Resulting Numbers: [17, 57, 62]
Generated Node #2: [17, 57, 62] from Operation: 23+39=62
Current State: 85:[17, 57, 62], Operations: ['23+39=62']
Exploring Operation: 62-57=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 62-57=5
Current State: 85:[17, 5], Operations: ['23+39=62', '62-57=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
5,
81,
9,
34
] | 61
|
[
"5+81=86",
"34-9=25",
"86-25=61"
] |
Current State: 61:[5, 81, 9, 34], Operations: []
Exploring Operation: 5+81=86, Resulting Numbers: [9, 34, 86]
Generated Node #2: [9, 34, 86] from Operation: 5+81=86
Current State: 61:[9, 34, 86], Operations: ['5+81=86']
Exploring Operation: 34-9=25, Resulting Numbers: [86, 25]
Generated Node #3: [86, 25] from Operation: 34-9=25
Current State: 61:[86, 25], Operations: ['5+81=86', '34-9=25']
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
76,
53,
41,
99
] | 81
|
[
"76-53=23",
"99-41=58",
"23+58=81"
] |
Current State: 81:[76, 53, 41, 99], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [41, 99, 23]
Generated Node #2: [41, 99, 23] from Operation: 76-53=23
Current State: 81:[41, 99, 23], Operations: ['76-53=23']
Exploring Operation: 99-41=58, Resulting Numbers: [23, 58]
Generated Node #3: [23, 58] from Operation: 99-41=58
Current State: 81:[23, 58], Operations: ['76-53=23', '99-41=58']
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
42,
51,
35,
75
] | 53
|
[
"42+51=93",
"75-35=40",
"93-40=53"
] |
Current State: 53:[42, 51, 35, 75], Operations: []
Exploring Operation: 42+51=93, Resulting Numbers: [35, 75, 93]
Generated Node #2: [35, 75, 93] from Operation: 42+51=93
Current State: 53:[35, 75, 93], Operations: ['42+51=93']
Exploring Operation: 75-35=40, Resulting Numbers: [93, 40]
Generated Node #3: [93, 40] from Operation: 75-35=40
Current State: 53:[93, 40], Operations: ['42+51=93', '75-35=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
77,
8,
39,
62
] | 62
|
[
"77+8=85",
"62-39=23",
"85-23=62"
] |
Current State: 62:[77, 8, 39, 62], Operations: []
Exploring Operation: 77+8=85, Resulting Numbers: [39, 62, 85]
Generated Node #2: [39, 62, 85] from Operation: 77+8=85
Current State: 62:[39, 62, 85], Operations: ['77+8=85']
Exploring Operation: 62-39=23, Resulting Numbers: [85, 23]
Generated Node #3: [85, 23] from Operation: 62-39=23
Current State: 62:[85, 23], Operations: ['77+8=85', '62-39=23']
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
39,
29,
42,
82
] | 56
|
[
"39+29=68",
"42+82=124",
"124-68=56"
] |
Current State: 56:[39, 29, 42, 82], Operations: []
Exploring Operation: 39+29=68, Resulting Numbers: [42, 82, 68]
Generated Node #2: [42, 82, 68] from Operation: 39+29=68
Current State: 56:[42, 82, 68], Operations: ['39+29=68']
Exploring Operation: 42+82=124, Resulting Numbers: [68, 124]
Generated Node #3: [68, 124] from Operation: 42+82=124
Current State: 56:[68, 124], Operations: ['39+29=68', '42+82=124']
Exploring Operation: 124-68=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
93,
88,
70,
15
] | 50
|
[
"93-88=5",
"70-15=55",
"55-5=50"
] |
Current State: 50:[93, 88, 70, 15], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [70, 15, 5]
Generated Node #2: [70, 15, 5] from Operation: 93-88=5
Current State: 50:[70, 15, 5], Operations: ['93-88=5']
Exploring Operation: 70-15=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 70-15=55
Current State: 50:[5, 55], Operations: ['93-88=5', '70-15=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
17,
97,
84,
57
] | 53
|
[
"97-17=80",
"84-57=27",
"80-27=53"
] |
Current State: 53:[17, 97, 84, 57], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [84, 57, 80]
Generated Node #2: [84, 57, 80] from Operation: 97-17=80
Current State: 53:[84, 57, 80], Operations: ['97-17=80']
Exploring Operation: 84-57=27, Resulting Numbers: [80, 27]
Generated Node #3: [80, 27] from Operation: 84-57=27
Current State: 53:[80, 27], Operations: ['97-17=80', '84-57=27']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
60,
23,
78,
7
] | 80
|
[
"23+7=30",
"60/30=2",
"78+2=80"
] |
Current State: 80:[60, 23, 78, 7], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [60, 78, 30]
Generated Node #2: [60, 78, 30] from Operation: 23+7=30
Current State: 80:[60, 78, 30], Operations: ['23+7=30']
Exploring Operation: 60/30=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 60/30=2
Current State: 80:[78, 2], Operations: ['23+7=30', '60/30=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
90,
95,
37,
43
] | 16
|
[
"95-90=5",
"37+43=80",
"80/5=16"
] |
Current State: 16:[90, 95, 37, 43], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [37, 43, 5]
Generated Node #2: [37, 43, 5] from Operation: 95-90=5
Current State: 16:[37, 43, 5], Operations: ['95-90=5']
Exploring Operation: 37+43=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 37+43=80
Current State: 16:[5, 80], Operations: ['95-90=5', '37+43=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
30,
75,
47,
62
] | 35
|
[
"62-47=15",
"75/15=5",
"30+5=35"
] |
Current State: 35:[30, 75, 47, 62], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [30, 75, 15]
Generated Node #2: [30, 75, 15] from Operation: 62-47=15
Current State: 35:[30, 75, 15], Operations: ['62-47=15']
Exploring Operation: 75/15=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 75/15=5
Current State: 35:[30, 5], Operations: ['62-47=15', '75/15=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
33,
93,
22,
4
] | 26
|
[
"33+93=126",
"126-22=104",
"104/4=26"
] |
Current State: 26:[33, 93, 22, 4], Operations: []
Exploring Operation: 33+93=126, Resulting Numbers: [22, 4, 126]
Generated Node #2: [22, 4, 126] from Operation: 33+93=126
Current State: 26:[22, 4, 126], Operations: ['33+93=126']
Exploring Operation: 126-22=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 126-22=104
Current State: 26:[4, 104], Operations: ['33+93=126', '126-22=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
78,
73,
66,
77
] | 67
|
[
"73-66=7",
"77/7=11",
"78-11=67"
] |
Current State: 67:[78, 73, 66, 77], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [78, 77, 7]
Generated Node #2: [78, 77, 7] from Operation: 73-66=7
Current State: 67:[78, 77, 7], Operations: ['73-66=7']
Exploring Operation: 77/7=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 77/7=11
Current State: 67:[78, 11], Operations: ['73-66=7', '77/7=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
24,
83,
12,
22
] | 69
|
[
"83-24=59",
"22-12=10",
"59+10=69"
] |
Current State: 69:[24, 83, 12, 22], Operations: []
Exploring Operation: 83-24=59, Resulting Numbers: [12, 22, 59]
Generated Node #2: [12, 22, 59] from Operation: 83-24=59
Current State: 69:[12, 22, 59], Operations: ['83-24=59']
Exploring Operation: 22-12=10, Resulting Numbers: [59, 10]
Generated Node #3: [59, 10] from Operation: 22-12=10
Current State: 69:[59, 10], Operations: ['83-24=59', '22-12=10']
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
31,
76,
15,
45
] | 15
|
[
"76-31=45",
"15+45=60",
"60-45=15"
] |
Current State: 15:[31, 76, 15, 45], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [15, 45, 45]
Generated Node #2: [15, 45, 45] from Operation: 76-31=45
Current State: 15:[15, 45, 45], Operations: ['76-31=45']
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,15 equal: Goal Reached
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
2,
94,
43,
50
] | 92
|
[
"43+50=93",
"2*93=186",
"186-94=92"
] |
Current State: 92:[2, 94, 43, 50], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [2, 94, 93]
Generated Node #2: [2, 94, 93] from Operation: 43+50=93
Current State: 92:[2, 94, 93], Operations: ['43+50=93']
Exploring Operation: 2*93=186, Resulting Numbers: [94, 186]
Generated Node #3: [94, 186] from Operation: 2*93=186
Current State: 92:[94, 186], Operations: ['43+50=93', '2*93=186']
Exploring Operation: 186-94=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
24,
39,
40,
29
] | 26
|
[
"39-24=15",
"40-29=11",
"15+11=26"
] |
Current State: 26:[24, 39, 40, 29], Operations: []
Exploring Operation: 39-24=15, Resulting Numbers: [40, 29, 15]
Generated Node #2: [40, 29, 15] from Operation: 39-24=15
Current State: 26:[40, 29, 15], Operations: ['39-24=15']
Exploring Operation: 40-29=11, Resulting Numbers: [15, 11]
Generated Node #3: [15, 11] from Operation: 40-29=11
Current State: 26:[15, 11], Operations: ['39-24=15', '40-29=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
58,
22,
41,
65
] | 25
|
[
"58+65=123",
"123/41=3",
"22+3=25"
] |
Current State: 25:[58, 22, 41, 65], Operations: []
Exploring Operation: 58+65=123, Resulting Numbers: [22, 41, 123]
Generated Node #2: [22, 41, 123] from Operation: 58+65=123
Current State: 25:[22, 41, 123], Operations: ['58+65=123']
Exploring Operation: 123/41=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 123/41=3
Current State: 25:[22, 3], Operations: ['58+65=123', '123/41=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
42,
33,
32,
29
] | 50
|
[
"33-29=4",
"32/4=8",
"42+8=50"
] |
Current State: 50:[42, 33, 32, 29], Operations: []
Exploring Operation: 33-29=4, Resulting Numbers: [42, 32, 4]
Generated Node #2: [42, 32, 4] from Operation: 33-29=4
Current State: 50:[42, 32, 4], Operations: ['33-29=4']
Exploring Operation: 32/4=8, Resulting Numbers: [42, 8]
Generated Node #3: [42, 8] from Operation: 32/4=8
Current State: 50:[42, 8], Operations: ['33-29=4', '32/4=8']
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
83,
3,
40,
52
] | 11
|
[
"83+40=123",
"123/3=41",
"52-41=11"
] |
Current State: 11:[83, 3, 40, 52], Operations: []
Exploring Operation: 83+40=123, Resulting Numbers: [3, 52, 123]
Generated Node #2: [3, 52, 123] from Operation: 83+40=123
Current State: 11:[3, 52, 123], Operations: ['83+40=123']
Exploring Operation: 123/3=41, Resulting Numbers: [52, 41]
Generated Node #3: [52, 41] from Operation: 123/3=41
Current State: 11:[52, 41], Operations: ['83+40=123', '123/3=41']
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
44,
96,
40,
26
] | 66
|
[
"96-44=52",
"40-26=14",
"52+14=66"
] |
Current State: 66:[44, 96, 40, 26], Operations: []
Exploring Operation: 96-44=52, Resulting Numbers: [40, 26, 52]
Generated Node #2: [40, 26, 52] from Operation: 96-44=52
Current State: 66:[40, 26, 52], Operations: ['96-44=52']
Exploring Operation: 40-26=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 40-26=14
Current State: 66:[52, 14], Operations: ['96-44=52', '40-26=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
53,
78,
4,
38
] | 89
|
[
"53+78=131",
"4+38=42",
"131-42=89"
] |
Current State: 89:[53, 78, 4, 38], Operations: []
Exploring Operation: 53+78=131, Resulting Numbers: [4, 38, 131]
Generated Node #2: [4, 38, 131] from Operation: 53+78=131
Current State: 89:[4, 38, 131], Operations: ['53+78=131']
Exploring Operation: 4+38=42, Resulting Numbers: [131, 42]
Generated Node #3: [131, 42] from Operation: 4+38=42
Current State: 89:[131, 42], Operations: ['53+78=131', '4+38=42']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
41,
98,
8,
2
] | 67
|
[
"98-41=57",
"8+2=10",
"57+10=67"
] |
Current State: 67:[41, 98, 8, 2], Operations: []
Exploring Operation: 98-41=57, Resulting Numbers: [8, 2, 57]
Generated Node #2: [8, 2, 57] from Operation: 98-41=57
Current State: 67:[8, 2, 57], Operations: ['98-41=57']
Exploring Operation: 8+2=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 8+2=10
Current State: 67:[57, 10], Operations: ['98-41=57', '8+2=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
91,
21,
10,
69
] | 37
|
[
"91+69=160",
"160/10=16",
"21+16=37"
] |
Current State: 37:[91, 21, 10, 69], Operations: []
Exploring Operation: 91+69=160, Resulting Numbers: [21, 10, 160]
Generated Node #2: [21, 10, 160] from Operation: 91+69=160
Current State: 37:[21, 10, 160], Operations: ['91+69=160']
Exploring Operation: 160/10=16, Resulting Numbers: [21, 16]
Generated Node #3: [21, 16] from Operation: 160/10=16
Current State: 37:[21, 16], Operations: ['91+69=160', '160/10=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
90,
14,
15,
2
] | 32
|
[
"14+15=29",
"2*29=58",
"90-58=32"
] |
Current State: 32:[90, 14, 15, 2], Operations: []
Exploring Operation: 14+15=29, Resulting Numbers: [90, 2, 29]
Generated Node #2: [90, 2, 29] from Operation: 14+15=29
Current State: 32:[90, 2, 29], Operations: ['14+15=29']
Exploring Operation: 2*29=58, Resulting Numbers: [90, 58]
Generated Node #3: [90, 58] from Operation: 2*29=58
Current State: 32:[90, 58], Operations: ['14+15=29', '2*29=58']
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
17,
49,
70,
27
] | 23
|
[
"17+49=66",
"70-27=43",
"66-43=23"
] |
Current State: 23:[17, 49, 70, 27], Operations: []
Exploring Operation: 17+49=66, Resulting Numbers: [70, 27, 66]
Generated Node #2: [70, 27, 66] from Operation: 17+49=66
Current State: 23:[70, 27, 66], Operations: ['17+49=66']
Exploring Operation: 70-27=43, Resulting Numbers: [66, 43]
Generated Node #3: [66, 43] from Operation: 70-27=43
Current State: 23:[66, 43], Operations: ['17+49=66', '70-27=43']
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
72,
80,
13,
35
] | 40
|
[
"80-72=8",
"13+35=48",
"48-8=40"
] |
Current State: 40:[72, 80, 13, 35], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [13, 35, 8]
Generated Node #2: [13, 35, 8] from Operation: 80-72=8
Current State: 40:[13, 35, 8], Operations: ['80-72=8']
Exploring Operation: 13+35=48, Resulting Numbers: [8, 48]
Generated Node #3: [8, 48] from Operation: 13+35=48
Current State: 40:[8, 48], Operations: ['80-72=8', '13+35=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
22,
6,
23,
46
] | 92
|
[
"22*23=506",
"46+506=552",
"552/6=92"
] |
Current State: 92:[22, 6, 23, 46], Operations: []
Exploring Operation: 22*23=506, Resulting Numbers: [6, 46, 506]
Generated Node #2: [6, 46, 506] from Operation: 22*23=506
Current State: 92:[6, 46, 506], Operations: ['22*23=506']
Exploring Operation: 46+506=552, Resulting Numbers: [6, 552]
Generated Node #3: [6, 552] from Operation: 46+506=552
Current State: 92:[6, 552], Operations: ['22*23=506', '46+506=552']
Exploring Operation: 552/6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
5,
46,
79,
77
] | 49
|
[
"5+46=51",
"79-77=2",
"51-2=49"
] |
Current State: 49:[5, 46, 79, 77], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [79, 77, 51]
Generated Node #2: [79, 77, 51] from Operation: 5+46=51
Current State: 49:[79, 77, 51], Operations: ['5+46=51']
Exploring Operation: 79-77=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 79-77=2
Current State: 49:[51, 2], Operations: ['5+46=51', '79-77=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
28,
98,
15,
3
] | 88
|
[
"98-28=70",
"15+3=18",
"70+18=88"
] |
Current State: 88:[28, 98, 15, 3], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [15, 3, 70]
Generated Node #2: [15, 3, 70] from Operation: 98-28=70
Current State: 88:[15, 3, 70], Operations: ['98-28=70']
Exploring Operation: 15+3=18, Resulting Numbers: [70, 18]
Generated Node #3: [70, 18] from Operation: 15+3=18
Current State: 88:[70, 18], Operations: ['98-28=70', '15+3=18']
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
93,
38,
18,
69
] | 80
|
[
"93+38=131",
"69-18=51",
"131-51=80"
] |
Current State: 80:[93, 38, 18, 69], Operations: []
Exploring Operation: 93+38=131, Resulting Numbers: [18, 69, 131]
Generated Node #2: [18, 69, 131] from Operation: 93+38=131
Current State: 80:[18, 69, 131], Operations: ['93+38=131']
Exploring Operation: 69-18=51, Resulting Numbers: [131, 51]
Generated Node #3: [131, 51] from Operation: 69-18=51
Current State: 80:[131, 51], Operations: ['93+38=131', '69-18=51']
Exploring Operation: 131-51=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
56,
34,
51,
39
] | 53
|
[
"56-39=17",
"34/17=2",
"51+2=53"
] |
Current State: 53:[56, 34, 51, 39], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [34, 51, 17]
Generated Node #2: [34, 51, 17] from Operation: 56-39=17
Current State: 53:[34, 51, 17], Operations: ['56-39=17']
Exploring Operation: 34/17=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 34/17=2
Current State: 53:[51, 2], Operations: ['56-39=17', '34/17=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
17,
3,
98,
24
] | 54
|
[
"17+3=20",
"98-24=74",
"74-20=54"
] |
Current State: 54:[17, 3, 98, 24], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [98, 24, 20]
Generated Node #2: [98, 24, 20] from Operation: 17+3=20
Current State: 54:[98, 24, 20], Operations: ['17+3=20']
Exploring Operation: 98-24=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 98-24=74
Current State: 54:[20, 74], Operations: ['17+3=20', '98-24=74']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
45,
4,
36,
93
] | 96
|
[
"93-45=48",
"4*36=144",
"144-48=96"
] |
Current State: 96:[45, 4, 36, 93], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [4, 36, 48]
Generated Node #2: [4, 36, 48] from Operation: 93-45=48
Current State: 96:[4, 36, 48], Operations: ['93-45=48']
Exploring Operation: 4*36=144, Resulting Numbers: [48, 144]
Generated Node #3: [48, 144] from Operation: 4*36=144
Current State: 96:[48, 144], Operations: ['93-45=48', '4*36=144']
Exploring Operation: 144-48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
25,
4,
76,
75
] | 77
|
[
"75/25=3",
"4+76=80",
"80-3=77"
] |
Current State: 77:[25, 4, 76, 75], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [4, 76, 3]
Generated Node #2: [4, 76, 3] from Operation: 75/25=3
Current State: 77:[4, 76, 3], Operations: ['75/25=3']
Exploring Operation: 4+76=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 4+76=80
Current State: 77:[3, 80], Operations: ['75/25=3', '4+76=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
[
71,
73,
1,
17
] | 20
|
[
"73-71=2",
"1+17=18",
"2+18=20"
] |
Current State: 20:[71, 73, 1, 17], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [1, 17, 2]
Generated Node #2: [1, 17, 2] from Operation: 73-71=2
Current State: 20:[1, 17, 2], Operations: ['73-71=2']
Exploring Operation: 1+17=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 1+17=18
Current State: 20:[2, 18], Operations: ['73-71=2', '1+17=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
24,
20,
25,
35
] | 16
|
[
"24+20=44",
"25+35=60",
"60-44=16"
] |
Current State: 16:[24, 20, 25, 35], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [25, 35, 44]
Generated Node #2: [25, 35, 44] from Operation: 24+20=44
Current State: 16:[25, 35, 44], Operations: ['24+20=44']
Exploring Operation: 25+35=60, Resulting Numbers: [44, 60]
Generated Node #3: [44, 60] from Operation: 25+35=60
Current State: 16:[44, 60], Operations: ['24+20=44', '25+35=60']
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
53,
27,
75,
29
] | 97
|
[
"29-27=2",
"75*2=150",
"150-53=97"
] |
Current State: 97:[53, 27, 75, 29], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [53, 75, 2]
Generated Node #2: [53, 75, 2] from Operation: 29-27=2
Current State: 97:[53, 75, 2], Operations: ['29-27=2']
Exploring Operation: 75*2=150, Resulting Numbers: [53, 150]
Generated Node #3: [53, 150] from Operation: 75*2=150
Current State: 97:[53, 150], Operations: ['29-27=2', '75*2=150']
Exploring Operation: 150-53=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
22,
98,
17,
13
] | 17
|
[
"22-17=5",
"98-13=85",
"85/5=17"
] |
Current State: 17:[22, 98, 17, 13], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [98, 13, 5]
Generated Node #2: [98, 13, 5] from Operation: 22-17=5
Current State: 17:[98, 13, 5], Operations: ['22-17=5']
Exploring Operation: 98-13=85, Resulting Numbers: [5, 85]
Generated Node #3: [5, 85] from Operation: 98-13=85
Current State: 17:[5, 85], Operations: ['22-17=5', '98-13=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
72,
71,
78,
66
] | 85
|
[
"71*78=5538",
"72+5538=5610",
"5610/66=85"
] |
Current State: 85:[72, 71, 78, 66], Operations: []
Exploring Operation: 71*78=5538, Resulting Numbers: [72, 66, 5538]
Generated Node #2: [72, 66, 5538] from Operation: 71*78=5538
Current State: 85:[72, 66, 5538], Operations: ['71*78=5538']
Exploring Operation: 72+5538=5610, Resulting Numbers: [66, 5610]
Generated Node #3: [66, 5610] from Operation: 72+5538=5610
Current State: 85:[66, 5610], Operations: ['71*78=5538', '72+5538=5610']
Exploring Operation: 5610/66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
81,
47,
79,
79
] | 64
|
[
"81-79=2",
"79-47=32",
"2*32=64"
] |
Current State: 64:[81, 47, 79, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [47, 2]
Generated Node #2: [47, 2] from Operation: 81-79=2
Current State: 64:[47, 2], Operations: ['81-79=2']
Exploring Operation: 79-47=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 79-47=32
Current State: 64:[2, 32], Operations: ['81-79=2', '79-47=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
69,
2,
69,
21
] | 22
|
[
"69/69=1",
"2+21=23",
"23-1=22"
] |
Current State: 22:[69, 2, 69, 21], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [2, 21, 1]
Generated Node #2: [2, 21, 1] from Operation: 69/69=1
Current State: 22:[2, 21, 1], Operations: ['69/69=1']
Exploring Operation: 2+21=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 2+21=23
Current State: 22:[1, 23], Operations: ['69/69=1', '2+21=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
17,
12,
73,
19
] | 25
|
[
"17+12=29",
"73-19=54",
"54-29=25"
] |
Current State: 25:[17, 12, 73, 19], Operations: []
Exploring Operation: 17+12=29, Resulting Numbers: [73, 19, 29]
Generated Node #2: [73, 19, 29] from Operation: 17+12=29
Current State: 25:[73, 19, 29], Operations: ['17+12=29']
Exploring Operation: 73-19=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 73-19=54
Current State: 25:[29, 54], Operations: ['17+12=29', '73-19=54']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
3,
61,
77,
91
] | 78
|
[
"3+61=64",
"91-77=14",
"64+14=78"
] |
Current State: 78:[3, 61, 77, 91], Operations: []
Exploring Operation: 3+61=64, Resulting Numbers: [77, 91, 64]
Generated Node #2: [77, 91, 64] from Operation: 3+61=64
Current State: 78:[77, 91, 64], Operations: ['3+61=64']
Exploring Operation: 91-77=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 91-77=14
Current State: 78:[64, 14], Operations: ['3+61=64', '91-77=14']
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
34,
94,
93,
88
] | 65
|
[
"94-34=60",
"93-88=5",
"60+5=65"
] |
Current State: 65:[34, 94, 93, 88], Operations: []
Exploring Operation: 94-34=60, Resulting Numbers: [93, 88, 60]
Generated Node #2: [93, 88, 60] from Operation: 94-34=60
Current State: 65:[93, 88, 60], Operations: ['94-34=60']
Exploring Operation: 93-88=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 93-88=5
Current State: 65:[60, 5], Operations: ['94-34=60', '93-88=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
50,
53,
49,
31
] | 21
|
[
"53-50=3",
"49-31=18",
"3+18=21"
] |
Current State: 21:[50, 53, 49, 31], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [49, 31, 3]
Generated Node #2: [49, 31, 3] from Operation: 53-50=3
Current State: 21:[49, 31, 3], Operations: ['53-50=3']
Exploring Operation: 49-31=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 49-31=18
Current State: 21:[3, 18], Operations: ['53-50=3', '49-31=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
18,
34,
54,
40
] | 36
|
[
"18*40=720",
"54-34=20",
"720/20=36"
] |
Current State: 36:[18, 34, 54, 40], Operations: []
Exploring Operation: 18*40=720, Resulting Numbers: [34, 54, 720]
Generated Node #2: [34, 54, 720] from Operation: 18*40=720
Current State: 36:[34, 54, 720], Operations: ['18*40=720']
Exploring Operation: 54-34=20, Resulting Numbers: [720, 20]
Generated Node #3: [720, 20] from Operation: 54-34=20
Current State: 36:[720, 20], Operations: ['18*40=720', '54-34=20']
Exploring Operation: 720/20=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
42,
94,
56,
89
] | 93
|
[
"94-42=52",
"56+89=145",
"145-52=93"
] |
Current State: 93:[42, 94, 56, 89], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [56, 89, 52]
Generated Node #2: [56, 89, 52] from Operation: 94-42=52
Current State: 93:[56, 89, 52], Operations: ['94-42=52']
Exploring Operation: 56+89=145, Resulting Numbers: [52, 145]
Generated Node #3: [52, 145] from Operation: 56+89=145
Current State: 93:[52, 145], Operations: ['94-42=52', '56+89=145']
Exploring Operation: 145-52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
4,
83,
4,
17
] | 26
|
[
"4+83=87",
"17+87=104",
"104/4=26"
] |
Current State: 26:[4, 83, 4, 17], Operations: []
Exploring Operation: 4+83=87, Resulting Numbers: [17, 87]
Generated Node #2: [17, 87] from Operation: 4+83=87
Current State: 26:[17, 87], Operations: ['4+83=87']
Exploring Operation: 17+87=104, Resulting Numbers: [104]
104,26 equal: Goal Reached
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
57,
74,
88,
21
] | 64
|
[
"57+74=131",
"88-21=67",
"131-67=64"
] |
Current State: 64:[57, 74, 88, 21], Operations: []
Exploring Operation: 57+74=131, Resulting Numbers: [88, 21, 131]
Generated Node #2: [88, 21, 131] from Operation: 57+74=131
Current State: 64:[88, 21, 131], Operations: ['57+74=131']
Exploring Operation: 88-21=67, Resulting Numbers: [131, 67]
Generated Node #3: [131, 67] from Operation: 88-21=67
Current State: 64:[131, 67], Operations: ['57+74=131', '88-21=67']
Exploring Operation: 131-67=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
75,
35,
3,
1
] | 10
|
[
"75-35=40",
"3+1=4",
"40/4=10"
] |
Current State: 10:[75, 35, 3, 1], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [3, 1, 40]
Generated Node #2: [3, 1, 40] from Operation: 75-35=40
Current State: 10:[3, 1, 40], Operations: ['75-35=40']
Exploring Operation: 3+1=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 3+1=4
Current State: 10:[40, 4], Operations: ['75-35=40', '3+1=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
87,
27,
57,
25
] | 92
|
[
"87-27=60",
"57-25=32",
"60+32=92"
] |
Current State: 92:[87, 27, 57, 25], Operations: []
Exploring Operation: 87-27=60, Resulting Numbers: [57, 25, 60]
Generated Node #2: [57, 25, 60] from Operation: 87-27=60
Current State: 92:[57, 25, 60], Operations: ['87-27=60']
Exploring Operation: 57-25=32, Resulting Numbers: [60, 32]
Generated Node #3: [60, 32] from Operation: 57-25=32
Current State: 92:[60, 32], Operations: ['87-27=60', '57-25=32']
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
59,
20,
14,
73
] | 84
|
[
"59+20=79",
"79-73=6",
"14*6=84"
] |
Current State: 84:[59, 20, 14, 73], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [14, 73, 79]
Generated Node #2: [14, 73, 79] from Operation: 59+20=79
Current State: 84:[14, 73, 79], Operations: ['59+20=79']
Exploring Operation: 79-73=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 79-73=6
Current State: 84:[14, 6], Operations: ['59+20=79', '79-73=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
59,
69,
27,
60
] | 43
|
[
"69-59=10",
"60-27=33",
"10+33=43"
] |
Current State: 43:[59, 69, 27, 60], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [27, 60, 10]
Generated Node #2: [27, 60, 10] from Operation: 69-59=10
Current State: 43:[27, 60, 10], Operations: ['69-59=10']
Exploring Operation: 60-27=33, Resulting Numbers: [10, 33]
Generated Node #3: [10, 33] from Operation: 60-27=33
Current State: 43:[10, 33], Operations: ['69-59=10', '60-27=33']
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
35,
1,
57,
4
] | 97
|
[
"35+1=36",
"57+4=61",
"36+61=97"
] |
Current State: 97:[35, 1, 57, 4], Operations: []
Exploring Operation: 35+1=36, Resulting Numbers: [57, 4, 36]
Generated Node #2: [57, 4, 36] from Operation: 35+1=36
Current State: 97:[57, 4, 36], Operations: ['35+1=36']
Exploring Operation: 57+4=61, Resulting Numbers: [36, 61]
Generated Node #3: [36, 61] from Operation: 57+4=61
Current State: 97:[36, 61], Operations: ['35+1=36', '57+4=61']
Exploring Operation: 36+61=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
42,
14,
34,
6
] | 44
|
[
"34-6=28",
"28/14=2",
"42+2=44"
] |
Current State: 44:[42, 14, 34, 6], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [42, 14, 28]
Generated Node #2: [42, 14, 28] from Operation: 34-6=28
Current State: 44:[42, 14, 28], Operations: ['34-6=28']
Exploring Operation: 28/14=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 28/14=2
Current State: 44:[42, 2], Operations: ['34-6=28', '28/14=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
49,
55,
1,
2
] | 13
|
[
"55-49=6",
"2*6=12",
"1+12=13"
] |
Current State: 13:[49, 55, 1, 2], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [1, 2, 6]
Generated Node #2: [1, 2, 6] from Operation: 55-49=6
Current State: 13:[1, 2, 6], Operations: ['55-49=6']
Exploring Operation: 2*6=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 2*6=12
Current State: 13:[1, 12], Operations: ['55-49=6', '2*6=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
6,
1,
29,
3
] | 87
|
[
"6*1=6",
"6-3=3",
"29*3=87"
] |
Current State: 87:[6, 1, 29, 3], Operations: []
Exploring Operation: 6*1=6, Resulting Numbers: [29, 3, 6]
Generated Node #2: [29, 3, 6] from Operation: 6*1=6
Current State: 87:[29, 3, 6], Operations: ['6*1=6']
Exploring Operation: 6-3=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 6-3=3
Current State: 87:[29, 3], Operations: ['6*1=6', '6-3=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
89,
34,
73,
55
] | 37
|
[
"89-34=55",
"73-55=18",
"55-18=37"
] |
Current State: 37:[89, 34, 73, 55], Operations: []
Exploring Operation: 89-34=55, Resulting Numbers: [73, 55, 55]
Generated Node #2: [73, 55, 55] from Operation: 89-34=55
Current State: 37:[73, 55, 55], Operations: ['89-34=55']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,37 equal: Goal Reached
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
45,
37,
53,
55
] | 53
|
[
"37+53=90",
"90/45=2",
"55-2=53"
] |
Current State: 53:[45, 37, 53, 55], Operations: []
Exploring Operation: 37+53=90, Resulting Numbers: [45, 55, 90]
Generated Node #2: [45, 55, 90] from Operation: 37+53=90
Current State: 53:[45, 55, 90], Operations: ['37+53=90']
Exploring Operation: 90/45=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 90/45=2
Current State: 53:[55, 2], Operations: ['37+53=90', '90/45=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
82,
10,
19,
60
] | 12
|
[
"60-19=41",
"82/41=2",
"10+2=12"
] |
Current State: 12:[82, 10, 19, 60], Operations: []
Exploring Operation: 60-19=41, Resulting Numbers: [82, 10, 41]
Generated Node #2: [82, 10, 41] from Operation: 60-19=41
Current State: 12:[82, 10, 41], Operations: ['60-19=41']
Exploring Operation: 82/41=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 82/41=2
Current State: 12:[10, 2], Operations: ['60-19=41', '82/41=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
54,
11,
32,
33
] | 66
|
[
"54+11=65",
"33-32=1",
"65+1=66"
] |
Current State: 66:[54, 11, 32, 33], Operations: []
Exploring Operation: 54+11=65, Resulting Numbers: [32, 33, 65]
Generated Node #2: [32, 33, 65] from Operation: 54+11=65
Current State: 66:[32, 33, 65], Operations: ['54+11=65']
Exploring Operation: 33-32=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 33-32=1
Current State: 66:[65, 1], Operations: ['54+11=65', '33-32=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
8,
35,
2,
4
] | 70
|
[
"8-2=6",
"6-4=2",
"35*2=70"
] |
Current State: 70:[8, 35, 2, 4], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [35, 4, 6]
Generated Node #2: [35, 4, 6] from Operation: 8-2=6
Current State: 70:[35, 4, 6], Operations: ['8-2=6']
Exploring Operation: 6-4=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 6-4=2
Current State: 70:[35, 2], Operations: ['8-2=6', '6-4=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
34,
37,
49,
45
] | 23
|
[
"34+37=71",
"49+45=94",
"94-71=23"
] |
Current State: 23:[34, 37, 49, 45], Operations: []
Exploring Operation: 34+37=71, Resulting Numbers: [49, 45, 71]
Generated Node #2: [49, 45, 71] from Operation: 34+37=71
Current State: 23:[49, 45, 71], Operations: ['34+37=71']
Exploring Operation: 49+45=94, Resulting Numbers: [71, 94]
Generated Node #3: [71, 94] from Operation: 49+45=94
Current State: 23:[71, 94], Operations: ['34+37=71', '49+45=94']
Exploring Operation: 94-71=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
68,
4,
44,
3
] | 52
|
[
"4+44=48",
"48/3=16",
"68-16=52"
] |
Current State: 52:[68, 4, 44, 3], Operations: []
Exploring Operation: 4+44=48, Resulting Numbers: [68, 3, 48]
Generated Node #2: [68, 3, 48] from Operation: 4+44=48
Current State: 52:[68, 3, 48], Operations: ['4+44=48']
Exploring Operation: 48/3=16, Resulting Numbers: [68, 16]
Generated Node #3: [68, 16] from Operation: 48/3=16
Current State: 52:[68, 16], Operations: ['4+44=48', '48/3=16']
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
6,
37,
19,
48
] | 29
|
[
"6*19=114",
"37+48=85",
"114-85=29"
] |
Current State: 29:[6, 37, 19, 48], Operations: []
Exploring Operation: 6*19=114, Resulting Numbers: [37, 48, 114]
Generated Node #2: [37, 48, 114] from Operation: 6*19=114
Current State: 29:[37, 48, 114], Operations: ['6*19=114']
Exploring Operation: 37+48=85, Resulting Numbers: [114, 85]
Generated Node #3: [114, 85] from Operation: 37+48=85
Current State: 29:[114, 85], Operations: ['6*19=114', '37+48=85']
Exploring Operation: 114-85=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
[
13,
89,
2,
22
] | 85
|
[
"13*2=26",
"89+22=111",
"111-26=85"
] |
Current State: 85:[13, 89, 2, 22], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [89, 22, 26]
Generated Node #2: [89, 22, 26] from Operation: 13*2=26
Current State: 85:[89, 22, 26], Operations: ['13*2=26']
Exploring Operation: 89+22=111, Resulting Numbers: [26, 111]
Generated Node #3: [26, 111] from Operation: 89+22=111
Current State: 85:[26, 111], Operations: ['13*2=26', '89+22=111']
Exploring Operation: 111-26=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
2,
26,
99,
10
] | 68
|
[
"10/2=5",
"99-26=73",
"73-5=68"
] |
Current State: 68:[2, 26, 99, 10], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [26, 99, 5]
Generated Node #2: [26, 99, 5] from Operation: 10/2=5
Current State: 68:[26, 99, 5], Operations: ['10/2=5']
Exploring Operation: 99-26=73, Resulting Numbers: [5, 73]
Generated Node #3: [5, 73] from Operation: 99-26=73
Current State: 68:[5, 73], Operations: ['10/2=5', '99-26=73']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
11,
62,
63,
99
] | 15
|
[
"62-11=51",
"99-63=36",
"51-36=15"
] |
Current State: 15:[11, 62, 63, 99], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [63, 99, 51]
Generated Node #2: [63, 99, 51] from Operation: 62-11=51
Current State: 15:[63, 99, 51], Operations: ['62-11=51']
Exploring Operation: 99-63=36, Resulting Numbers: [51, 36]
Generated Node #3: [51, 36] from Operation: 99-63=36
Current State: 15:[51, 36], Operations: ['62-11=51', '99-63=36']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
64,
2,
33,
31
] | 31
|
[
"64-2=62",
"33-31=2",
"62/2=31"
] |
Current State: 31:[64, 2, 33, 31], Operations: []
Exploring Operation: 64-2=62, Resulting Numbers: [33, 31, 62]
Generated Node #2: [33, 31, 62] from Operation: 64-2=62
Current State: 31:[33, 31, 62], Operations: ['64-2=62']
Exploring Operation: 33-31=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 33-31=2
Current State: 31:[62, 2], Operations: ['64-2=62', '33-31=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
41,
36,
5,
39
] | 14
|
[
"41-36=5",
"5*5=25",
"39-25=14"
] |
Current State: 14:[41, 36, 5, 39], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [5, 39, 5]
Generated Node #2: [5, 39, 5] from Operation: 41-36=5
Current State: 14:[5, 39, 5], Operations: ['41-36=5']
Exploring Operation: 5*5=25, Resulting Numbers: [39, 25]
Generated Node #3: [39, 25] from Operation: 5*5=25
Current State: 14:[39, 25], Operations: ['41-36=5', '5*5=25']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
72,
47,
29,
64
] | 26
|
[
"72+47=119",
"29+64=93",
"119-93=26"
] |
Current State: 26:[72, 47, 29, 64], Operations: []
Exploring Operation: 72+47=119, Resulting Numbers: [29, 64, 119]
Generated Node #2: [29, 64, 119] from Operation: 72+47=119
Current State: 26:[29, 64, 119], Operations: ['72+47=119']
Exploring Operation: 29+64=93, Resulting Numbers: [119, 93]
Generated Node #3: [119, 93] from Operation: 29+64=93
Current State: 26:[119, 93], Operations: ['72+47=119', '29+64=93']
Exploring Operation: 119-93=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
72,
57,
75,
63
] | 27
|
[
"72-57=15",
"75-63=12",
"15+12=27"
] |
Current State: 27:[72, 57, 75, 63], Operations: []
Exploring Operation: 72-57=15, Resulting Numbers: [75, 63, 15]
Generated Node #2: [75, 63, 15] from Operation: 72-57=15
Current State: 27:[75, 63, 15], Operations: ['72-57=15']
Exploring Operation: 75-63=12, Resulting Numbers: [15, 12]
Generated Node #3: [15, 12] from Operation: 75-63=12
Current State: 27:[15, 12], Operations: ['72-57=15', '75-63=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
26,
21,
63,
87
] | 23
|
[
"26+21=47",
"87-63=24",
"47-24=23"
] |
Current State: 23:[26, 21, 63, 87], Operations: []
Exploring Operation: 26+21=47, Resulting Numbers: [63, 87, 47]
Generated Node #2: [63, 87, 47] from Operation: 26+21=47
Current State: 23:[63, 87, 47], Operations: ['26+21=47']
Exploring Operation: 87-63=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 87-63=24
Current State: 23:[47, 24], Operations: ['26+21=47', '87-63=24']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
36,
50,
98,
52
] | 67
|
[
"36+98=134",
"52-50=2",
"134/2=67"
] |
Current State: 67:[36, 50, 98, 52], Operations: []
Exploring Operation: 36+98=134, Resulting Numbers: [50, 52, 134]
Generated Node #2: [50, 52, 134] from Operation: 36+98=134
Current State: 67:[50, 52, 134], Operations: ['36+98=134']
Exploring Operation: 52-50=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 52-50=2
Current State: 67:[134, 2], Operations: ['36+98=134', '52-50=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
39,
3,
33,
63
] | 49
|
[
"63-33=30",
"30/3=10",
"39+10=49"
] |
Current State: 49:[39, 3, 33, 63], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [39, 3, 30]
Generated Node #2: [39, 3, 30] from Operation: 63-33=30
Current State: 49:[39, 3, 30], Operations: ['63-33=30']
Exploring Operation: 30/3=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 30/3=10
Current State: 49:[39, 10], Operations: ['63-33=30', '30/3=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
[
16,
35,
61,
14
] | 52
|
[
"16-14=2",
"61-35=26",
"2*26=52"
] |
Current State: 52:[16, 35, 61, 14], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [35, 61, 2]
Generated Node #2: [35, 61, 2] from Operation: 16-14=2
Current State: 52:[35, 61, 2], Operations: ['16-14=2']
Exploring Operation: 61-35=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 61-35=26
Current State: 52:[2, 26], Operations: ['16-14=2', '61-35=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
38,
56,
53,
50
] | 85
|
[
"56-38=18",
"53+50=103",
"103-18=85"
] |
Current State: 85:[38, 56, 53, 50], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [53, 50, 18]
Generated Node #2: [53, 50, 18] from Operation: 56-38=18
Current State: 85:[53, 50, 18], Operations: ['56-38=18']
Exploring Operation: 53+50=103, Resulting Numbers: [18, 103]
Generated Node #3: [18, 103] from Operation: 53+50=103
Current State: 85:[18, 103], Operations: ['56-38=18', '53+50=103']
Exploring Operation: 103-18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
43,
99,
46,
38
] | 71
|
[
"46-43=3",
"99/3=33",
"38+33=71"
] |
Current State: 71:[43, 99, 46, 38], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [99, 38, 3]
Generated Node #2: [99, 38, 3] from Operation: 46-43=3
Current State: 71:[99, 38, 3], Operations: ['46-43=3']
Exploring Operation: 99/3=33, Resulting Numbers: [38, 33]
Generated Node #3: [38, 33] from Operation: 99/3=33
Current State: 71:[38, 33], Operations: ['46-43=3', '99/3=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
30,
15,
31,
62
] | 45
|
[
"30*62=1860",
"1860/31=60",
"60-15=45"
] |
Current State: 45:[30, 15, 31, 62], Operations: []
Exploring Operation: 30*62=1860, Resulting Numbers: [15, 31, 1860]
Generated Node #2: [15, 31, 1860] from Operation: 30*62=1860
Current State: 45:[15, 31, 1860], Operations: ['30*62=1860']
Exploring Operation: 1860/31=60, Resulting Numbers: [15, 60]
Generated Node #3: [15, 60] from Operation: 1860/31=60
Current State: 45:[15, 60], Operations: ['30*62=1860', '1860/31=60']
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
20,
38,
17,
80
] | 25
|
[
"80/20=4",
"38-17=21",
"4+21=25"
] |
Current State: 25:[20, 38, 17, 80], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [38, 17, 4]
Generated Node #2: [38, 17, 4] from Operation: 80/20=4
Current State: 25:[38, 17, 4], Operations: ['80/20=4']
Exploring Operation: 38-17=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 38-17=21
Current State: 25:[4, 21], Operations: ['80/20=4', '38-17=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
76,
62,
74,
45
] | 72
|
[
"76-45=31",
"62/31=2",
"74-2=72"
] |
Current State: 72:[76, 62, 74, 45], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [62, 74, 31]
Generated Node #2: [62, 74, 31] from Operation: 76-45=31
Current State: 72:[62, 74, 31], Operations: ['76-45=31']
Exploring Operation: 62/31=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 62/31=2
Current State: 72:[74, 2], Operations: ['76-45=31', '62/31=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
6,
40,
38,
70
] | 43
|
[
"70-40=30",
"30/6=5",
"38+5=43"
] |
Current State: 43:[6, 40, 38, 70], Operations: []
Exploring Operation: 70-40=30, Resulting Numbers: [6, 38, 30]
Generated Node #2: [6, 38, 30] from Operation: 70-40=30
Current State: 43:[6, 38, 30], Operations: ['70-40=30']
Exploring Operation: 30/6=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 30/6=5
Current State: 43:[38, 5], Operations: ['70-40=30', '30/6=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
50,
90,
26,
25
] | 89
|
[
"50+90=140",
"26+25=51",
"140-51=89"
] |
Current State: 89:[50, 90, 26, 25], Operations: []
Exploring Operation: 50+90=140, Resulting Numbers: [26, 25, 140]
Generated Node #2: [26, 25, 140] from Operation: 50+90=140
Current State: 89:[26, 25, 140], Operations: ['50+90=140']
Exploring Operation: 26+25=51, Resulting Numbers: [140, 51]
Generated Node #3: [140, 51] from Operation: 26+25=51
Current State: 89:[140, 51], Operations: ['50+90=140', '26+25=51']
Exploring Operation: 140-51=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
59,
2,
59,
78
] | 40
|
[
"59/59=1",
"78/2=39",
"1+39=40"
] |
Current State: 40:[59, 2, 59, 78], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [2, 78, 1]
Generated Node #2: [2, 78, 1] from Operation: 59/59=1
Current State: 40:[2, 78, 1], Operations: ['59/59=1']
Exploring Operation: 78/2=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 78/2=39
Current State: 40:[1, 39], Operations: ['59/59=1', '78/2=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
14,
63,
24,
69
] | 56
|
[
"14*24=336",
"69-63=6",
"336/6=56"
] |
Current State: 56:[14, 63, 24, 69], Operations: []
Exploring Operation: 14*24=336, Resulting Numbers: [63, 69, 336]
Generated Node #2: [63, 69, 336] from Operation: 14*24=336
Current State: 56:[63, 69, 336], Operations: ['14*24=336']
Exploring Operation: 69-63=6, Resulting Numbers: [336, 6]
Generated Node #3: [336, 6] from Operation: 69-63=6
Current State: 56:[336, 6], Operations: ['14*24=336', '69-63=6']
Exploring Operation: 336/6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
74,
82,
78,
83
] | 81
|
[
"74+82=156",
"156/78=2",
"83-2=81"
] |
Current State: 81:[74, 82, 78, 83], Operations: []
Exploring Operation: 74+82=156, Resulting Numbers: [78, 83, 156]
Generated Node #2: [78, 83, 156] from Operation: 74+82=156
Current State: 81:[78, 83, 156], Operations: ['74+82=156']
Exploring Operation: 156/78=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 156/78=2
Current State: 81:[83, 2], Operations: ['74+82=156', '156/78=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
67,
82,
95,
4
] | 35
|
[
"82-67=15",
"4*15=60",
"95-60=35"
] |
Current State: 35:[67, 82, 95, 4], Operations: []
Exploring Operation: 82-67=15, Resulting Numbers: [95, 4, 15]
Generated Node #2: [95, 4, 15] from Operation: 82-67=15
Current State: 35:[95, 4, 15], Operations: ['82-67=15']
Exploring Operation: 4*15=60, Resulting Numbers: [95, 60]
Generated Node #3: [95, 60] from Operation: 4*15=60
Current State: 35:[95, 60], Operations: ['82-67=15', '4*15=60']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
93,
1,
3,
19
] | 70
|
[
"93-1=92",
"3+19=22",
"92-22=70"
] |
Current State: 70:[93, 1, 3, 19], Operations: []
Exploring Operation: 93-1=92, Resulting Numbers: [3, 19, 92]
Generated Node #2: [3, 19, 92] from Operation: 93-1=92
Current State: 70:[3, 19, 92], Operations: ['93-1=92']
Exploring Operation: 3+19=22, Resulting Numbers: [92, 22]
Generated Node #3: [92, 22] from Operation: 3+19=22
Current State: 70:[92, 22], Operations: ['93-1=92', '3+19=22']
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
21,
72,
64,
55
] | 60
|
[
"72-21=51",
"64-55=9",
"51+9=60"
] |
Current State: 60:[21, 72, 64, 55], Operations: []
Exploring Operation: 72-21=51, Resulting Numbers: [64, 55, 51]
Generated Node #2: [64, 55, 51] from Operation: 72-21=51
Current State: 60:[64, 55, 51], Operations: ['72-21=51']
Exploring Operation: 64-55=9, Resulting Numbers: [51, 9]
Generated Node #3: [51, 9] from Operation: 64-55=9
Current State: 60:[51, 9], Operations: ['72-21=51', '64-55=9']
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
44,
64,
8,
92
] | 56
|
[
"92-44=48",
"64/8=8",
"48+8=56"
] |
Current State: 56:[44, 64, 8, 92], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [64, 8, 48]
Generated Node #2: [64, 8, 48] from Operation: 92-44=48
Current State: 56:[64, 8, 48], Operations: ['92-44=48']
Exploring Operation: 64/8=8, Resulting Numbers: [48, 8]
Generated Node #3: [48, 8] from Operation: 64/8=8
Current State: 56:[48, 8], Operations: ['92-44=48', '64/8=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
26,
75,
10,
2
] | 29
|
[
"75-26=49",
"10*2=20",
"49-20=29"
] |
Current State: 29:[26, 75, 10, 2], Operations: []
Exploring Operation: 75-26=49, Resulting Numbers: [10, 2, 49]
Generated Node #2: [10, 2, 49] from Operation: 75-26=49
Current State: 29:[10, 2, 49], Operations: ['75-26=49']
Exploring Operation: 10*2=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 10*2=20
Current State: 29:[49, 20], Operations: ['75-26=49', '10*2=20']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
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