nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
61,
13,
82
] | 30 | [
"61-57=4",
"13*4=52",
"82-52=30"
] | Current State: 30:[57, 61, 13, 82], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [13, 82, 4]
Generated Node #2: [13, 82, 4] from Operation: 61-57=4
Current State: 30:[13, 82, 4], Operations: ['61-57=4']
Exploring Operation: 13*4=52, Resulting Numbers: [82, 52]
Generated Node #3: [82, 52] from Operation: 13*4=52
Current State: 30:[82, 52], Operations: ['61-57=4', '13*4=52']
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
73,
41,
38,
84
] | 33 | [
"84-73=11",
"41-38=3",
"11*3=33"
] | Current State: 33:[73, 41, 38, 84], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [41, 38, 11]
Generated Node #2: [41, 38, 11] from Operation: 84-73=11
Current State: 33:[41, 38, 11], Operations: ['84-73=11']
Exploring Operation: 41-38=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 41-38=3
Current State: 33:[11, 3], Operations: ['84-73=11', '41-38=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
20,
3,
22,
15
] | 97 | [
"20*3=60",
"22+15=37",
"60+37=97"
] | Current State: 97:[20, 3, 22, 15], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [22, 15, 60]
Generated Node #2: [22, 15, 60] from Operation: 20*3=60
Current State: 97:[22, 15, 60], Operations: ['20*3=60']
Exploring Operation: 22+15=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 22+15=37
Current State: 97:[60, 37], Operations: ['20*3=60', '22+15=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
64,
54,
58
] | 12 | [
"72-64=8",
"58-54=4",
"8+4=12"
] | Current State: 12:[72, 64, 54, 58], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [54, 58, 8]
Generated Node #2: [54, 58, 8] from Operation: 72-64=8
Current State: 12:[54, 58, 8], Operations: ['72-64=8']
Exploring Operation: 58-54=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 58-54=4
Current State: 12:[8, 4], Operations: ['72-64=8', '58-54=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
39,
4,
64,
48
] | 48 | [
"39*64=2496",
"4+48=52",
"2496/52=48"
] | Current State: 48:[39, 4, 64, 48], Operations: []
Exploring Operation: 39*64=2496, Resulting Numbers: [4, 48, 2496]
Generated Node #2: [4, 48, 2496] from Operation: 39*64=2496
Current State: 48:[4, 48, 2496], Operations: ['39*64=2496']
Exploring Operation: 4+48=52, Resulting Numbers: [2496, 52]
Generated Node #3: [2496, 52] from Operation: 4+48=52
Current State: 48:[2496, 52], Operations: ['39*64=2496', '4+48=52']
Exploring Operation: 2496/52=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
93,
32,
65,
4
] | 30 | [
"93+65=158",
"32*4=128",
"158-128=30"
] | Current State: 30:[93, 32, 65, 4], Operations: []
Exploring Operation: 93+65=158, Resulting Numbers: [32, 4, 158]
Generated Node #2: [32, 4, 158] from Operation: 93+65=158
Current State: 30:[32, 4, 158], Operations: ['93+65=158']
Exploring Operation: 32*4=128, Resulting Numbers: [158, 128]
Generated Node #3: [158, 128] from Operation: 32*4=128
Current State: 30:[158, 128], Operations: ['93+65=158', '32*4=128']
Exploring Operation: 158-128=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
25,
4,
84,
29
] | 34 | [
"25-4=21",
"84-29=55",
"55-21=34"
] | Current State: 34:[25, 4, 84, 29], Operations: []
Exploring Operation: 25-4=21, Resulting Numbers: [84, 29, 21]
Generated Node #2: [84, 29, 21] from Operation: 25-4=21
Current State: 34:[84, 29, 21], Operations: ['25-4=21']
Exploring Operation: 84-29=55, Resulting Numbers: [21, 55]
Generated Node #3: [21, 55] from Operation: 84-29=55
Current State: 34:[21, 55], Operations: ['25-4=21', '84-29=55']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
89,
96,
15,
24
] | 26 | [
"89+15=104",
"96/24=4",
"104/4=26"
] | Current State: 26:[89, 96, 15, 24], Operations: []
Exploring Operation: 89+15=104, Resulting Numbers: [96, 24, 104]
Generated Node #2: [96, 24, 104] from Operation: 89+15=104
Current State: 26:[96, 24, 104], Operations: ['89+15=104']
Exploring Operation: 96/24=4, Resulting Numbers: [104, 4]
Generated Node #3: [104, 4] from Operation: 96/24=4
Current State: 26:[104, 4], Operations: ['89+15=104', '96/24=4']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
62,
2,
62,
34
] | 31 | [
"62/62=1",
"34-2=32",
"32-1=31"
] | Current State: 31:[62, 2, 62, 34], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [2, 34, 1]
Generated Node #2: [2, 34, 1] from Operation: 62/62=1
Current State: 31:[2, 34, 1], Operations: ['62/62=1']
Exploring Operation: 34-2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 34-2=32
Current State: 31:[1, 32], Operations: ['62/62=1', '34-2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
62,
4,
10,
34
] | 68 | [
"62-34=28",
"4*10=40",
"28+40=68"
] | Current State: 68:[62, 4, 10, 34], Operations: []
Exploring Operation: 62-34=28, Resulting Numbers: [4, 10, 28]
Generated Node #2: [4, 10, 28] from Operation: 62-34=28
Current State: 68:[4, 10, 28], Operations: ['62-34=28']
Exploring Operation: 4*10=40, Resulting Numbers: [28, 40]
Generated Node #3: [28, 40] from Operation: 4*10=40
Current State: 68:[28, 40], Operations: ['62-34=28', '4*10=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
75,
10,
18
] | 92 | [
"9+75=84",
"18-10=8",
"84+8=92"
] | Current State: 92:[9, 75, 10, 18], Operations: []
Exploring Operation: 9+75=84, Resulting Numbers: [10, 18, 84]
Generated Node #2: [10, 18, 84] from Operation: 9+75=84
Current State: 92:[10, 18, 84], Operations: ['9+75=84']
Exploring Operation: 18-10=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 18-10=8
Current State: 92:[84, 8], Operations: ['9+75=84', '18-10=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
15,
87,
4,
15
] | 83 | [
"15+87=102",
"4+15=19",
"102-19=83"
] | Current State: 83:[15, 87, 4, 15], Operations: []
Exploring Operation: 15+87=102, Resulting Numbers: [4, 102]
Generated Node #2: [4, 102] from Operation: 15+87=102
Current State: 83:[4, 102], Operations: ['15+87=102']
Exploring Operation: 4+15=19, Resulting Numbers: [102, 19]
Generated Node #3: [102, 19] from Operation: 4+15=19
Current State: 83:[102, 19], Operations: ['15+87=102', '4+15=19']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
14,
56,
22,
2
] | 59 | [
"14+56=70",
"22/2=11",
"70-11=59"
] | Current State: 59:[14, 56, 22, 2], Operations: []
Exploring Operation: 14+56=70, Resulting Numbers: [22, 2, 70]
Generated Node #2: [22, 2, 70] from Operation: 14+56=70
Current State: 59:[22, 2, 70], Operations: ['14+56=70']
Exploring Operation: 22/2=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 22/2=11
Current State: 59:[70, 11], Operations: ['14+56=70', '22/2=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
38,
17,
77,
36
] | 96 | [
"38+17=55",
"77-36=41",
"55+41=96"
] | Current State: 96:[38, 17, 77, 36], Operations: []
Exploring Operation: 38+17=55, Resulting Numbers: [77, 36, 55]
Generated Node #2: [77, 36, 55] from Operation: 38+17=55
Current State: 96:[77, 36, 55], Operations: ['38+17=55']
Exploring Operation: 77-36=41, Resulting Numbers: [55, 41]
Generated Node #3: [55, 41] from Operation: 77-36=41
Current State: 96:[55, 41], Operations: ['38+17=55', '77-36=41']
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
15,
14,
54,
67
] | 14 | [
"15-14=1",
"67-54=13",
"1+13=14"
] | Current State: 14:[15, 14, 54, 67], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [54, 67, 1]
Generated Node #2: [54, 67, 1] from Operation: 15-14=1
Current State: 14:[54, 67, 1], Operations: ['15-14=1']
Exploring Operation: 67-54=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 67-54=13
Current State: 14:[1, 13], Operations: ['15-14=1', '67-54=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
63,
60,
31
] | 97 | [
"2*63=126",
"60-31=29",
"126-29=97"
] | Current State: 97:[2, 63, 60, 31], Operations: []
Exploring Operation: 2*63=126, Resulting Numbers: [60, 31, 126]
Generated Node #2: [60, 31, 126] from Operation: 2*63=126
Current State: 97:[60, 31, 126], Operations: ['2*63=126']
Exploring Operation: 60-31=29, Resulting Numbers: [126, 29]
Generated Node #3: [126, 29] from Operation: 60-31=29
Current State: 97:[126, 29], Operations: ['2*63=126', '60-31=29']
Exploring Operation: 126-29=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
2,
42,
75,
21
] | 69 | [
"42+75=117",
"21+117=138",
"138/2=69"
] | Current State: 69:[2, 42, 75, 21], Operations: []
Exploring Operation: 42+75=117, Resulting Numbers: [2, 21, 117]
Generated Node #2: [2, 21, 117] from Operation: 42+75=117
Current State: 69:[2, 21, 117], Operations: ['42+75=117']
Exploring Operation: 21+117=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 21+117=138
Current State: 69:[2, 138], Operations: ['42+75=117', '21+117=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
14,
16,
12
] | 84 | [
"14-5=9",
"16-9=7",
"12*7=84"
] | Current State: 84:[5, 14, 16, 12], Operations: []
Exploring Operation: 14-5=9, Resulting Numbers: [16, 12, 9]
Generated Node #2: [16, 12, 9] from Operation: 14-5=9
Current State: 84:[16, 12, 9], Operations: ['14-5=9']
Exploring Operation: 16-9=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 16-9=7
Current State: 84:[12, 7], Operations: ['14-5=9', '16-9=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
33,
78,
67,
49
] | 52 | [
"78-67=11",
"33/11=3",
"49+3=52"
] | Current State: 52:[33, 78, 67, 49], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [33, 49, 11]
Generated Node #2: [33, 49, 11] from Operation: 78-67=11
Current State: 52:[33, 49, 11], Operations: ['78-67=11']
Exploring Operation: 33/11=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 33/11=3
Current State: 52:[49, 3], Operations: ['78-67=11', '33/11=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
83,
78,
96
] | 74 | [
"96-83=13",
"78/13=6",
"80-6=74"
] | Current State: 74:[80, 83, 78, 96], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [80, 78, 13]
Generated Node #2: [80, 78, 13] from Operation: 96-83=13
Current State: 74:[80, 78, 13], Operations: ['96-83=13']
Exploring Operation: 78/13=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 78/13=6
Current State: 74:[80, 6], Operations: ['96-83=13', '78/13=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
29,
47,
38
] | 51 | [
"5+29=34",
"47+38=85",
"85-34=51"
] | Current State: 51:[5, 29, 47, 38], Operations: []
Exploring Operation: 5+29=34, Resulting Numbers: [47, 38, 34]
Generated Node #2: [47, 38, 34] from Operation: 5+29=34
Current State: 51:[47, 38, 34], Operations: ['5+29=34']
Exploring Operation: 47+38=85, Resulting Numbers: [34, 85]
Generated Node #3: [34, 85] from Operation: 47+38=85
Current State: 51:[34, 85], Operations: ['5+29=34', '47+38=85']
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
71,
68,
98
] | 93 | [
"68*98=6664",
"6664-61=6603",
"6603/71=93"
] | Current State: 93:[61, 71, 68, 98], Operations: []
Exploring Operation: 68*98=6664, Resulting Numbers: [61, 71, 6664]
Generated Node #2: [61, 71, 6664] from Operation: 68*98=6664
Current State: 93:[61, 71, 6664], Operations: ['68*98=6664']
Exploring Operation: 6664-61=6603, Resulting Numbers: [71, 6603]
Generated Node #3: [71, 6603] from Operation: 6664-61=6603
Current State: 93:[71, 6603], Operations: ['68*98=6664', '6664-61=6603']
Exploring Operation: 6603/71=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
68,
32,
80,
40
] | 72 | [
"68-32=36",
"80/40=2",
"36*2=72"
] | Current State: 72:[68, 32, 80, 40], Operations: []
Exploring Operation: 68-32=36, Resulting Numbers: [80, 40, 36]
Generated Node #2: [80, 40, 36] from Operation: 68-32=36
Current State: 72:[80, 40, 36], Operations: ['68-32=36']
Exploring Operation: 80/40=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 80/40=2
Current State: 72:[36, 2], Operations: ['68-32=36', '80/40=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
63,
97,
57,
90
] | 42 | [
"63-57=6",
"97-90=7",
"6*7=42"
] | Current State: 42:[63, 97, 57, 90], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [97, 90, 6]
Generated Node #2: [97, 90, 6] from Operation: 63-57=6
Current State: 42:[97, 90, 6], Operations: ['63-57=6']
Exploring Operation: 97-90=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 97-90=7
Current State: 42:[6, 7], Operations: ['63-57=6', '97-90=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
69,
57,
48,
10
] | 50 | [
"69-57=12",
"48-10=38",
"12+38=50"
] | Current State: 50:[69, 57, 48, 10], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [48, 10, 12]
Generated Node #2: [48, 10, 12] from Operation: 69-57=12
Current State: 50:[48, 10, 12], Operations: ['69-57=12']
Exploring Operation: 48-10=38, Resulting Numbers: [12, 38]
Generated Node #3: [12, 38] from Operation: 48-10=38
Current State: 50:[12, 38], Operations: ['69-57=12', '48-10=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
74,
77,
15
] | 89 | [
"78-77=1",
"74+15=89",
"1*89=89"
] | Current State: 89:[78, 74, 77, 15], Operations: []
Exploring Operation: 78-77=1, Resulting Numbers: [74, 15, 1]
Generated Node #2: [74, 15, 1] from Operation: 78-77=1
Current State: 89:[74, 15, 1], Operations: ['78-77=1']
Exploring Operation: 74+15=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 74+15=89
Current State: 89:[1, 89], Operations: ['78-77=1', '74+15=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
89,
87,
33,
88
] | 31 | [
"89+87=176",
"176/88=2",
"33-2=31"
] | Current State: 31:[89, 87, 33, 88], Operations: []
Exploring Operation: 89+87=176, Resulting Numbers: [33, 88, 176]
Generated Node #2: [33, 88, 176] from Operation: 89+87=176
Current State: 31:[33, 88, 176], Operations: ['89+87=176']
Exploring Operation: 176/88=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 176/88=2
Current State: 31:[33, 2], Operations: ['89+87=176', '176/88=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
98,
85,
5,
17
] | 98 | [
"98+85=183",
"5*17=85",
"183-85=98"
] | Current State: 98:[98, 85, 5, 17], Operations: []
Exploring Operation: 98+85=183, Resulting Numbers: [5, 17, 183]
Generated Node #2: [5, 17, 183] from Operation: 98+85=183
Current State: 98:[5, 17, 183], Operations: ['98+85=183']
Exploring Operation: 5*17=85, Resulting Numbers: [183, 85]
Generated Node #3: [183, 85] from Operation: 5*17=85
Current State: 98:[183, 85], Operations: ['98+85=183', '5*17=85']
Exploring Operation: 183-85=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
64,
9,
7,
1
] | 33 | [
"9-7=2",
"64/2=32",
"1+32=33"
] | Current State: 33:[64, 9, 7, 1], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [64, 1, 2]
Generated Node #2: [64, 1, 2] from Operation: 9-7=2
Current State: 33:[64, 1, 2], Operations: ['9-7=2']
Exploring Operation: 64/2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 64/2=32
Current State: 33:[1, 32], Operations: ['9-7=2', '64/2=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
87,
83,
58,
28
] | 90 | [
"87-83=4",
"58+28=86",
"4+86=90"
] | Current State: 90:[87, 83, 58, 28], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [58, 28, 4]
Generated Node #2: [58, 28, 4] from Operation: 87-83=4
Current State: 90:[58, 28, 4], Operations: ['87-83=4']
Exploring Operation: 58+28=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 58+28=86
Current State: 90:[4, 86], Operations: ['87-83=4', '58+28=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
4,
67,
69,
94
] | 46 | [
"4+67=71",
"94-69=25",
"71-25=46"
] | Current State: 46:[4, 67, 69, 94], Operations: []
Exploring Operation: 4+67=71, Resulting Numbers: [69, 94, 71]
Generated Node #2: [69, 94, 71] from Operation: 4+67=71
Current State: 46:[69, 94, 71], Operations: ['4+67=71']
Exploring Operation: 94-69=25, Resulting Numbers: [71, 25]
Generated Node #3: [71, 25] from Operation: 94-69=25
Current State: 46:[71, 25], Operations: ['4+67=71', '94-69=25']
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
1,
24,
11,
44
] | 92 | [
"24-1=23",
"44/11=4",
"23*4=92"
] | Current State: 92:[1, 24, 11, 44], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [11, 44, 23]
Generated Node #2: [11, 44, 23] from Operation: 24-1=23
Current State: 92:[11, 44, 23], Operations: ['24-1=23']
Exploring Operation: 44/11=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 44/11=4
Current State: 92:[23, 4], Operations: ['24-1=23', '44/11=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
65,
79,
9,
34
] | 60 | [
"79-34=45",
"45/9=5",
"65-5=60"
] | Current State: 60:[65, 79, 9, 34], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [65, 9, 45]
Generated Node #2: [65, 9, 45] from Operation: 79-34=45
Current State: 60:[65, 9, 45], Operations: ['79-34=45']
Exploring Operation: 45/9=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 45/9=5
Current State: 60:[65, 5], Operations: ['79-34=45', '45/9=5']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
73,
22,
79,
3
] | 86 | [
"73+79=152",
"22*3=66",
"152-66=86"
] | Current State: 86:[73, 22, 79, 3], Operations: []
Exploring Operation: 73+79=152, Resulting Numbers: [22, 3, 152]
Generated Node #2: [22, 3, 152] from Operation: 73+79=152
Current State: 86:[22, 3, 152], Operations: ['73+79=152']
Exploring Operation: 22*3=66, Resulting Numbers: [152, 66]
Generated Node #3: [152, 66] from Operation: 22*3=66
Current State: 86:[152, 66], Operations: ['73+79=152', '22*3=66']
Exploring Operation: 152-66=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
9,
12,
96
] | 95 | [
"22-9=13",
"12+96=108",
"108-13=95"
] | Current State: 95:[22, 9, 12, 96], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [12, 96, 13]
Generated Node #2: [12, 96, 13] from Operation: 22-9=13
Current State: 95:[12, 96, 13], Operations: ['22-9=13']
Exploring Operation: 12+96=108, Resulting Numbers: [13, 108]
Generated Node #3: [13, 108] from Operation: 12+96=108
Current State: 95:[13, 108], Operations: ['22-9=13', '12+96=108']
Exploring Operation: 108-13=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
7,
63,
10,
4
] | 56 | [
"7+63=70",
"10+4=14",
"70-14=56"
] | Current State: 56:[7, 63, 10, 4], Operations: []
Exploring Operation: 7+63=70, Resulting Numbers: [10, 4, 70]
Generated Node #2: [10, 4, 70] from Operation: 7+63=70
Current State: 56:[10, 4, 70], Operations: ['7+63=70']
Exploring Operation: 10+4=14, Resulting Numbers: [70, 14]
Generated Node #3: [70, 14] from Operation: 10+4=14
Current State: 56:[70, 14], Operations: ['7+63=70', '10+4=14']
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
15,
80,
73,
93
] | 85 | [
"80-15=65",
"93-73=20",
"65+20=85"
] | Current State: 85:[15, 80, 73, 93], Operations: []
Exploring Operation: 80-15=65, Resulting Numbers: [73, 93, 65]
Generated Node #2: [73, 93, 65] from Operation: 80-15=65
Current State: 85:[73, 93, 65], Operations: ['80-15=65']
Exploring Operation: 93-73=20, Resulting Numbers: [65, 20]
Generated Node #3: [65, 20] from Operation: 93-73=20
Current State: 85:[65, 20], Operations: ['80-15=65', '93-73=20']
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
35,
13,
17,
79
] | 38 | [
"17*79=1343",
"1343-13=1330",
"1330/35=38"
] | Current State: 38:[35, 13, 17, 79], Operations: []
Exploring Operation: 17*79=1343, Resulting Numbers: [35, 13, 1343]
Generated Node #2: [35, 13, 1343] from Operation: 17*79=1343
Current State: 38:[35, 13, 1343], Operations: ['17*79=1343']
Exploring Operation: 1343-13=1330, Resulting Numbers: [35, 1330]
Generated Node #3: [35, 1330] from Operation: 1343-13=1330
Current State: 38:[35, 1330], Operations: ['17*79=1343', '1343-13=1330']
Exploring Operation: 1330/35=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
15,
21,
25,
69
] | 50 | [
"21-15=6",
"69-25=44",
"6+44=50"
] | Current State: 50:[15, 21, 25, 69], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [25, 69, 6]
Generated Node #2: [25, 69, 6] from Operation: 21-15=6
Current State: 50:[25, 69, 6], Operations: ['21-15=6']
Exploring Operation: 69-25=44, Resulting Numbers: [6, 44]
Generated Node #3: [6, 44] from Operation: 69-25=44
Current State: 50:[6, 44], Operations: ['21-15=6', '69-25=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
45,
24,
52,
43
] | 78 | [
"45+24=69",
"52-43=9",
"69+9=78"
] | Current State: 78:[45, 24, 52, 43], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [52, 43, 69]
Generated Node #2: [52, 43, 69] from Operation: 45+24=69
Current State: 78:[52, 43, 69], Operations: ['45+24=69']
Exploring Operation: 52-43=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 52-43=9
Current State: 78:[69, 9], Operations: ['45+24=69', '52-43=9']
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
29,
5,
41,
23
] | 40 | [
"29-5=24",
"41+23=64",
"64-24=40"
] | Current State: 40:[29, 5, 41, 23], Operations: []
Exploring Operation: 29-5=24, Resulting Numbers: [41, 23, 24]
Generated Node #2: [41, 23, 24] from Operation: 29-5=24
Current State: 40:[41, 23, 24], Operations: ['29-5=24']
Exploring Operation: 41+23=64, Resulting Numbers: [24, 64]
Generated Node #3: [24, 64] from Operation: 41+23=64
Current State: 40:[24, 64], Operations: ['29-5=24', '41+23=64']
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
48,
48,
25,
73
] | 48 | [
"48+48=96",
"73-25=48",
"96-48=48"
] | Current State: 48:[48, 48, 25, 73], Operations: []
Exploring Operation: 48+48=96, Resulting Numbers: [25, 73, 96]
Generated Node #2: [25, 73, 96] from Operation: 48+48=96
Current State: 48:[25, 73, 96], Operations: ['48+48=96']
Exploring Operation: 73-25=48, Resulting Numbers: [96, 48]
Generated Node #3: [96, 48] from Operation: 73-25=48
Current State: 48:[96, 48], Operations: ['48+48=96', '73-25=48']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
35,
28,
70
] | 72 | [
"22*70=1540",
"1540/35=44",
"28+44=72"
] | Current State: 72:[22, 35, 28, 70], Operations: []
Exploring Operation: 22*70=1540, Resulting Numbers: [35, 28, 1540]
Generated Node #2: [35, 28, 1540] from Operation: 22*70=1540
Current State: 72:[35, 28, 1540], Operations: ['22*70=1540']
Exploring Operation: 1540/35=44, Resulting Numbers: [28, 44]
Generated Node #3: [28, 44] from Operation: 1540/35=44
Current State: 72:[28, 44], Operations: ['22*70=1540', '1540/35=44']
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
20,
52,
45,
4
] | 12 | [
"45-20=25",
"52/4=13",
"25-13=12"
] | Current State: 12:[20, 52, 45, 4], Operations: []
Exploring Operation: 45-20=25, Resulting Numbers: [52, 4, 25]
Generated Node #2: [52, 4, 25] from Operation: 45-20=25
Current State: 12:[52, 4, 25], Operations: ['45-20=25']
Exploring Operation: 52/4=13, Resulting Numbers: [25, 13]
Generated Node #3: [25, 13] from Operation: 52/4=13
Current State: 12:[25, 13], Operations: ['45-20=25', '52/4=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
6,
3,
87,
33
] | 42 | [
"6+87=93",
"33+93=126",
"126/3=42"
] | Current State: 42:[6, 3, 87, 33], Operations: []
Exploring Operation: 6+87=93, Resulting Numbers: [3, 33, 93]
Generated Node #2: [3, 33, 93] from Operation: 6+87=93
Current State: 42:[3, 33, 93], Operations: ['6+87=93']
Exploring Operation: 33+93=126, Resulting Numbers: [3, 126]
Generated Node #3: [3, 126] from Operation: 33+93=126
Current State: 42:[3, 126], Operations: ['6+87=93', '33+93=126']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
14,
72,
26,
36
] | 43 | [
"72+26=98",
"98/14=7",
"36+7=43"
] | Current State: 43:[14, 72, 26, 36], Operations: []
Exploring Operation: 72+26=98, Resulting Numbers: [14, 36, 98]
Generated Node #2: [14, 36, 98] from Operation: 72+26=98
Current State: 43:[14, 36, 98], Operations: ['72+26=98']
Exploring Operation: 98/14=7, Resulting Numbers: [36, 7]
Generated Node #3: [36, 7] from Operation: 98/14=7
Current State: 43:[36, 7], Operations: ['72+26=98', '98/14=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
19,
83,
59,
40
] | 83 | [
"19+83=102",
"59-40=19",
"102-19=83"
] | Current State: 83:[19, 83, 59, 40], Operations: []
Exploring Operation: 19+83=102, Resulting Numbers: [59, 40, 102]
Generated Node #2: [59, 40, 102] from Operation: 19+83=102
Current State: 83:[59, 40, 102], Operations: ['19+83=102']
Exploring Operation: 59-40=19, Resulting Numbers: [102, 19]
Generated Node #3: [102, 19] from Operation: 59-40=19
Current State: 83:[102, 19], Operations: ['19+83=102', '59-40=19']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
13,
16,
43,
70
] | 95 | [
"13*16=208",
"43+70=113",
"208-113=95"
] | Current State: 95:[13, 16, 43, 70], Operations: []
Exploring Operation: 13*16=208, Resulting Numbers: [43, 70, 208]
Generated Node #2: [43, 70, 208] from Operation: 13*16=208
Current State: 95:[43, 70, 208], Operations: ['13*16=208']
Exploring Operation: 43+70=113, Resulting Numbers: [208, 113]
Generated Node #3: [208, 113] from Operation: 43+70=113
Current State: 95:[208, 113], Operations: ['13*16=208', '43+70=113']
Exploring Operation: 208-113=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
5,
52,
69
] | 88 | [
"5+52=57",
"57/3=19",
"69+19=88"
] | Current State: 88:[3, 5, 52, 69], Operations: []
Exploring Operation: 5+52=57, Resulting Numbers: [3, 69, 57]
Generated Node #2: [3, 69, 57] from Operation: 5+52=57
Current State: 88:[3, 69, 57], Operations: ['5+52=57']
Exploring Operation: 57/3=19, Resulting Numbers: [69, 19]
Generated Node #3: [69, 19] from Operation: 57/3=19
Current State: 88:[69, 19], Operations: ['5+52=57', '57/3=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
30,
99,
86,
55
] | 100 | [
"99-30=69",
"86-55=31",
"69+31=100"
] | Current State: 100:[30, 99, 86, 55], Operations: []
Exploring Operation: 99-30=69, Resulting Numbers: [86, 55, 69]
Generated Node #2: [86, 55, 69] from Operation: 99-30=69
Current State: 100:[86, 55, 69], Operations: ['99-30=69']
Exploring Operation: 86-55=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 86-55=31
Current State: 100:[69, 31], Operations: ['99-30=69', '86-55=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
60,
67,
78
] | 73 | [
"2+60=62",
"78-67=11",
"62+11=73"
] | Current State: 73:[2, 60, 67, 78], Operations: []
Exploring Operation: 2+60=62, Resulting Numbers: [67, 78, 62]
Generated Node #2: [67, 78, 62] from Operation: 2+60=62
Current State: 73:[67, 78, 62], Operations: ['2+60=62']
Exploring Operation: 78-67=11, Resulting Numbers: [62, 11]
Generated Node #3: [62, 11] from Operation: 78-67=11
Current State: 73:[62, 11], Operations: ['2+60=62', '78-67=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
10,
96,
95
] | 21 | [
"10+10=20",
"96-95=1",
"20+1=21"
] | Current State: 21:[10, 10, 96, 95], Operations: []
Exploring Operation: 10+10=20, Resulting Numbers: [96, 95, 20]
Generated Node #2: [96, 95, 20] from Operation: 10+10=20
Current State: 21:[96, 95, 20], Operations: ['10+10=20']
Exploring Operation: 96-95=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 96-95=1
Current State: 21:[20, 1], Operations: ['10+10=20', '96-95=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
77,
54,
97,
98
] | 23 | [
"77-54=23",
"98-97=1",
"23*1=23"
] | Current State: 23:[77, 54, 97, 98], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [97, 98, 23]
Generated Node #2: [97, 98, 23] from Operation: 77-54=23
Current State: 23:[97, 98, 23], Operations: ['77-54=23']
Exploring Operation: 98-97=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 98-97=1
Current State: 23:[23, 1], Operations: ['77-54=23', '98-97=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
46,
81,
74,
23
] | 76 | [
"46+81=127",
"74-23=51",
"127-51=76"
] | Current State: 76:[46, 81, 74, 23], Operations: []
Exploring Operation: 46+81=127, Resulting Numbers: [74, 23, 127]
Generated Node #2: [74, 23, 127] from Operation: 46+81=127
Current State: 76:[74, 23, 127], Operations: ['46+81=127']
Exploring Operation: 74-23=51, Resulting Numbers: [127, 51]
Generated Node #3: [127, 51] from Operation: 74-23=51
Current State: 76:[127, 51], Operations: ['46+81=127', '74-23=51']
Exploring Operation: 127-51=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
58,
84,
61,
12
] | 69 | [
"58+84=142",
"61+12=73",
"142-73=69"
] | Current State: 69:[58, 84, 61, 12], Operations: []
Exploring Operation: 58+84=142, Resulting Numbers: [61, 12, 142]
Generated Node #2: [61, 12, 142] from Operation: 58+84=142
Current State: 69:[61, 12, 142], Operations: ['58+84=142']
Exploring Operation: 61+12=73, Resulting Numbers: [142, 73]
Generated Node #3: [142, 73] from Operation: 61+12=73
Current State: 69:[142, 73], Operations: ['58+84=142', '61+12=73']
Exploring Operation: 142-73=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
97,
26,
45,
60
] | 62 | [
"97-45=52",
"52/26=2",
"60+2=62"
] | Current State: 62:[97, 26, 45, 60], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [26, 60, 52]
Generated Node #2: [26, 60, 52] from Operation: 97-45=52
Current State: 62:[26, 60, 52], Operations: ['97-45=52']
Exploring Operation: 52/26=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 52/26=2
Current State: 62:[60, 2], Operations: ['97-45=52', '52/26=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
31,
87,
5,
12
] | 58 | [
"31+87=118",
"5*12=60",
"118-60=58"
] | Current State: 58:[31, 87, 5, 12], Operations: []
Exploring Operation: 31+87=118, Resulting Numbers: [5, 12, 118]
Generated Node #2: [5, 12, 118] from Operation: 31+87=118
Current State: 58:[5, 12, 118], Operations: ['31+87=118']
Exploring Operation: 5*12=60, Resulting Numbers: [118, 60]
Generated Node #3: [118, 60] from Operation: 5*12=60
Current State: 58:[118, 60], Operations: ['31+87=118', '5*12=60']
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
84,
15,
3,
9
] | 54 | [
"84-3=81",
"15*9=135",
"135-81=54"
] | Current State: 54:[84, 15, 3, 9], Operations: []
Exploring Operation: 84-3=81, Resulting Numbers: [15, 9, 81]
Generated Node #2: [15, 9, 81] from Operation: 84-3=81
Current State: 54:[15, 9, 81], Operations: ['84-3=81']
Exploring Operation: 15*9=135, Resulting Numbers: [81, 135]
Generated Node #3: [81, 135] from Operation: 15*9=135
Current State: 54:[81, 135], Operations: ['84-3=81', '15*9=135']
Exploring Operation: 135-81=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
47,
46,
55,
32
] | 24 | [
"47-46=1",
"55-32=23",
"1+23=24"
] | Current State: 24:[47, 46, 55, 32], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [55, 32, 1]
Generated Node #2: [55, 32, 1] from Operation: 47-46=1
Current State: 24:[55, 32, 1], Operations: ['47-46=1']
Exploring Operation: 55-32=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 55-32=23
Current State: 24:[1, 23], Operations: ['47-46=1', '55-32=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
86,
70,
16,
50
] | 82 | [
"86-70=16",
"16+50=66",
"16+66=82"
] | Current State: 82:[86, 70, 16, 50], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [16, 50, 16]
Generated Node #2: [16, 50, 16] from Operation: 86-70=16
Current State: 82:[16, 50, 16], Operations: ['86-70=16']
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,82 equal: Goal Reached
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
20,
67,
50,
17
] | 21 | [
"67-50=17",
"17/17=1",
"20+1=21"
] | Current State: 21:[20, 67, 50, 17], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [20, 17, 17]
Generated Node #2: [20, 17, 17] from Operation: 67-50=17
Current State: 21:[20, 17, 17], Operations: ['67-50=17']
Exploring Operation: 17/17=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 17/17=1
Current State: 21:[20, 1], Operations: ['67-50=17', '17/17=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
6,
65,
28,
29
] | 81 | [
"6*29=174",
"65+28=93",
"174-93=81"
] | Current State: 81:[6, 65, 28, 29], Operations: []
Exploring Operation: 6*29=174, Resulting Numbers: [65, 28, 174]
Generated Node #2: [65, 28, 174] from Operation: 6*29=174
Current State: 81:[65, 28, 174], Operations: ['6*29=174']
Exploring Operation: 65+28=93, Resulting Numbers: [174, 93]
Generated Node #3: [174, 93] from Operation: 65+28=93
Current State: 81:[174, 93], Operations: ['6*29=174', '65+28=93']
Exploring Operation: 174-93=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
27,
3,
97,
4
] | 92 | [
"27/3=9",
"97+4=101",
"101-9=92"
] | Current State: 92:[27, 3, 97, 4], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [97, 4, 9]
Generated Node #2: [97, 4, 9] from Operation: 27/3=9
Current State: 92:[97, 4, 9], Operations: ['27/3=9']
Exploring Operation: 97+4=101, Resulting Numbers: [9, 101]
Generated Node #3: [9, 101] from Operation: 97+4=101
Current State: 92:[9, 101], Operations: ['27/3=9', '97+4=101']
Exploring Operation: 101-9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
36,
97,
27,
31
] | 88 | [
"97-31=66",
"36*66=2376",
"2376/27=88"
] | Current State: 88:[36, 97, 27, 31], Operations: []
Exploring Operation: 97-31=66, Resulting Numbers: [36, 27, 66]
Generated Node #2: [36, 27, 66] from Operation: 97-31=66
Current State: 88:[36, 27, 66], Operations: ['97-31=66']
Exploring Operation: 36*66=2376, Resulting Numbers: [27, 2376]
Generated Node #3: [27, 2376] from Operation: 36*66=2376
Current State: 88:[27, 2376], Operations: ['97-31=66', '36*66=2376']
Exploring Operation: 2376/27=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
29,
90,
23,
31
] | 69 | [
"90-29=61",
"31-23=8",
"61+8=69"
] | Current State: 69:[29, 90, 23, 31], Operations: []
Exploring Operation: 90-29=61, Resulting Numbers: [23, 31, 61]
Generated Node #2: [23, 31, 61] from Operation: 90-29=61
Current State: 69:[23, 31, 61], Operations: ['90-29=61']
Exploring Operation: 31-23=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 31-23=8
Current State: 69:[61, 8], Operations: ['90-29=61', '31-23=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
89,
52,
90,
92
] | 35 | [
"89-52=37",
"92-90=2",
"37-2=35"
] | Current State: 35:[89, 52, 90, 92], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [90, 92, 37]
Generated Node #2: [90, 92, 37] from Operation: 89-52=37
Current State: 35:[90, 92, 37], Operations: ['89-52=37']
Exploring Operation: 92-90=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 92-90=2
Current State: 35:[37, 2], Operations: ['89-52=37', '92-90=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
11,
95,
60
] | 19 | [
"65-11=54",
"95-60=35",
"54-35=19"
] | Current State: 19:[65, 11, 95, 60], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [95, 60, 54]
Generated Node #2: [95, 60, 54] from Operation: 65-11=54
Current State: 19:[95, 60, 54], Operations: ['65-11=54']
Exploring Operation: 95-60=35, Resulting Numbers: [54, 35]
Generated Node #3: [54, 35] from Operation: 95-60=35
Current State: 19:[54, 35], Operations: ['65-11=54', '95-60=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
7,
34,
28,
74
] | 84 | [
"34+28=62",
"74-62=12",
"7*12=84"
] | Current State: 84:[7, 34, 28, 74], Operations: []
Exploring Operation: 34+28=62, Resulting Numbers: [7, 74, 62]
Generated Node #2: [7, 74, 62] from Operation: 34+28=62
Current State: 84:[7, 74, 62], Operations: ['34+28=62']
Exploring Operation: 74-62=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 74-62=12
Current State: 84:[7, 12], Operations: ['34+28=62', '74-62=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
14,
32,
47,
43
] | 43 | [
"14+32=46",
"47-46=1",
"43*1=43"
] | Current State: 43:[14, 32, 47, 43], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [47, 43, 46]
Generated Node #2: [47, 43, 46] from Operation: 14+32=46
Current State: 43:[47, 43, 46], Operations: ['14+32=46']
Exploring Operation: 47-46=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 47-46=1
Current State: 43:[43, 1], Operations: ['14+32=46', '47-46=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
38,
1,
12,
22
] | 27 | [
"38-1=37",
"22-12=10",
"37-10=27"
] | Current State: 27:[38, 1, 12, 22], Operations: []
Exploring Operation: 38-1=37, Resulting Numbers: [12, 22, 37]
Generated Node #2: [12, 22, 37] from Operation: 38-1=37
Current State: 27:[12, 22, 37], Operations: ['38-1=37']
Exploring Operation: 22-12=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 22-12=10
Current State: 27:[37, 10], Operations: ['38-1=37', '22-12=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
38,
82,
2
] | 65 | [
"72-38=34",
"34/2=17",
"82-17=65"
] | Current State: 65:[72, 38, 82, 2], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [82, 2, 34]
Generated Node #2: [82, 2, 34] from Operation: 72-38=34
Current State: 65:[82, 2, 34], Operations: ['72-38=34']
Exploring Operation: 34/2=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 34/2=17
Current State: 65:[82, 17], Operations: ['72-38=34', '34/2=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
80,
25,
52,
85
] | 32 | [
"80+25=105",
"52+85=137",
"137-105=32"
] | Current State: 32:[80, 25, 52, 85], Operations: []
Exploring Operation: 80+25=105, Resulting Numbers: [52, 85, 105]
Generated Node #2: [52, 85, 105] from Operation: 80+25=105
Current State: 32:[52, 85, 105], Operations: ['80+25=105']
Exploring Operation: 52+85=137, Resulting Numbers: [105, 137]
Generated Node #3: [105, 137] from Operation: 52+85=137
Current State: 32:[105, 137], Operations: ['80+25=105', '52+85=137']
Exploring Operation: 137-105=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
45,
85,
80
] | 90 | [
"80/2=40",
"45+85=130",
"130-40=90"
] | Current State: 90:[2, 45, 85, 80], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [45, 85, 40]
Generated Node #2: [45, 85, 40] from Operation: 80/2=40
Current State: 90:[45, 85, 40], Operations: ['80/2=40']
Exploring Operation: 45+85=130, Resulting Numbers: [40, 130]
Generated Node #3: [40, 130] from Operation: 45+85=130
Current State: 90:[40, 130], Operations: ['80/2=40', '45+85=130']
Exploring Operation: 130-40=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
10,
6,
21
] | 48 | [
"68+10=78",
"6*21=126",
"126-78=48"
] | Current State: 48:[68, 10, 6, 21], Operations: []
Exploring Operation: 68+10=78, Resulting Numbers: [6, 21, 78]
Generated Node #2: [6, 21, 78] from Operation: 68+10=78
Current State: 48:[6, 21, 78], Operations: ['68+10=78']
Exploring Operation: 6*21=126, Resulting Numbers: [78, 126]
Generated Node #3: [78, 126] from Operation: 6*21=126
Current State: 48:[78, 126], Operations: ['68+10=78', '6*21=126']
Exploring Operation: 126-78=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
82,
69,
7
] | 79 | [
"16+7=23",
"69/23=3",
"82-3=79"
] | Current State: 79:[16, 82, 69, 7], Operations: []
Exploring Operation: 16+7=23, Resulting Numbers: [82, 69, 23]
Generated Node #2: [82, 69, 23] from Operation: 16+7=23
Current State: 79:[82, 69, 23], Operations: ['16+7=23']
Exploring Operation: 69/23=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 69/23=3
Current State: 79:[82, 3], Operations: ['16+7=23', '69/23=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
58,
80,
40,
78
] | 10 | [
"78-58=20",
"80/40=2",
"20/2=10"
] | Current State: 10:[58, 80, 40, 78], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [80, 40, 20]
Generated Node #2: [80, 40, 20] from Operation: 78-58=20
Current State: 10:[80, 40, 20], Operations: ['78-58=20']
Exploring Operation: 80/40=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 80/40=2
Current State: 10:[20, 2], Operations: ['78-58=20', '80/40=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
65,
26,
5,
67
] | 80 | [
"65/5=13",
"26+67=93",
"93-13=80"
] | Current State: 80:[65, 26, 5, 67], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [26, 67, 13]
Generated Node #2: [26, 67, 13] from Operation: 65/5=13
Current State: 80:[26, 67, 13], Operations: ['65/5=13']
Exploring Operation: 26+67=93, Resulting Numbers: [13, 93]
Generated Node #3: [13, 93] from Operation: 26+67=93
Current State: 80:[13, 93], Operations: ['65/5=13', '26+67=93']
Exploring Operation: 93-13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
82,
2,
67,
97
] | 71 | [
"82/2=41",
"97-67=30",
"41+30=71"
] | Current State: 71:[82, 2, 67, 97], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [67, 97, 41]
Generated Node #2: [67, 97, 41] from Operation: 82/2=41
Current State: 71:[67, 97, 41], Operations: ['82/2=41']
Exploring Operation: 97-67=30, Resulting Numbers: [41, 30]
Generated Node #3: [41, 30] from Operation: 97-67=30
Current State: 71:[41, 30], Operations: ['82/2=41', '97-67=30']
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
31,
19,
25,
27
] | 81 | [
"31-27=4",
"25*4=100",
"100-19=81"
] | Current State: 81:[31, 19, 25, 27], Operations: []
Exploring Operation: 31-27=4, Resulting Numbers: [19, 25, 4]
Generated Node #2: [19, 25, 4] from Operation: 31-27=4
Current State: 81:[19, 25, 4], Operations: ['31-27=4']
Exploring Operation: 25*4=100, Resulting Numbers: [19, 100]
Generated Node #3: [19, 100] from Operation: 25*4=100
Current State: 81:[19, 100], Operations: ['31-27=4', '25*4=100']
Exploring Operation: 100-19=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
6,
93,
90,
3
] | 53 | [
"90-6=84",
"93/3=31",
"84-31=53"
] | Current State: 53:[6, 93, 90, 3], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [93, 3, 84]
Generated Node #2: [93, 3, 84] from Operation: 90-6=84
Current State: 53:[93, 3, 84], Operations: ['90-6=84']
Exploring Operation: 93/3=31, Resulting Numbers: [84, 31]
Generated Node #3: [84, 31] from Operation: 93/3=31
Current State: 53:[84, 31], Operations: ['90-6=84', '93/3=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
49,
13,
67,
35
] | 30 | [
"49+13=62",
"67-35=32",
"62-32=30"
] | Current State: 30:[49, 13, 67, 35], Operations: []
Exploring Operation: 49+13=62, Resulting Numbers: [67, 35, 62]
Generated Node #2: [67, 35, 62] from Operation: 49+13=62
Current State: 30:[67, 35, 62], Operations: ['49+13=62']
Exploring Operation: 67-35=32, Resulting Numbers: [62, 32]
Generated Node #3: [62, 32] from Operation: 67-35=32
Current State: 30:[62, 32], Operations: ['49+13=62', '67-35=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
82,
64,
67,
90
] | 72 | [
"82-64=18",
"90/18=5",
"67+5=72"
] | Current State: 72:[82, 64, 67, 90], Operations: []
Exploring Operation: 82-64=18, Resulting Numbers: [67, 90, 18]
Generated Node #2: [67, 90, 18] from Operation: 82-64=18
Current State: 72:[67, 90, 18], Operations: ['82-64=18']
Exploring Operation: 90/18=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 90/18=5
Current State: 72:[67, 5], Operations: ['82-64=18', '90/18=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
76,
2,
67,
35
] | 88 | [
"76-67=9",
"35+9=44",
"2*44=88"
] | Current State: 88:[76, 2, 67, 35], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [2, 35, 9]
Generated Node #2: [2, 35, 9] from Operation: 76-67=9
Current State: 88:[2, 35, 9], Operations: ['76-67=9']
Exploring Operation: 35+9=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 35+9=44
Current State: 88:[2, 44], Operations: ['76-67=9', '35+9=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
34,
66,
59,
69
] | 75 | [
"59-34=25",
"69-66=3",
"25*3=75"
] | Current State: 75:[34, 66, 59, 69], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [66, 69, 25]
Generated Node #2: [66, 69, 25] from Operation: 59-34=25
Current State: 75:[66, 69, 25], Operations: ['59-34=25']
Exploring Operation: 69-66=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 69-66=3
Current State: 75:[25, 3], Operations: ['59-34=25', '69-66=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
17,
39,
21,
48
] | 51 | [
"21-17=4",
"48/4=12",
"39+12=51"
] | Current State: 51:[17, 39, 21, 48], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [39, 48, 4]
Generated Node #2: [39, 48, 4] from Operation: 21-17=4
Current State: 51:[39, 48, 4], Operations: ['21-17=4']
Exploring Operation: 48/4=12, Resulting Numbers: [39, 12]
Generated Node #3: [39, 12] from Operation: 48/4=12
Current State: 51:[39, 12], Operations: ['21-17=4', '48/4=12']
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
89,
1,
58,
29
] | 61 | [
"89+1=90",
"58-29=29",
"90-29=61"
] | Current State: 61:[89, 1, 58, 29], Operations: []
Exploring Operation: 89+1=90, Resulting Numbers: [58, 29, 90]
Generated Node #2: [58, 29, 90] from Operation: 89+1=90
Current State: 61:[58, 29, 90], Operations: ['89+1=90']
Exploring Operation: 58-29=29, Resulting Numbers: [90, 29]
Generated Node #3: [90, 29] from Operation: 58-29=29
Current State: 61:[90, 29], Operations: ['89+1=90', '58-29=29']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
6,
59,
2,
33
] | 22 | [
"59-6=53",
"33-2=31",
"53-31=22"
] | Current State: 22:[6, 59, 2, 33], Operations: []
Exploring Operation: 59-6=53, Resulting Numbers: [2, 33, 53]
Generated Node #2: [2, 33, 53] from Operation: 59-6=53
Current State: 22:[2, 33, 53], Operations: ['59-6=53']
Exploring Operation: 33-2=31, Resulting Numbers: [53, 31]
Generated Node #3: [53, 31] from Operation: 33-2=31
Current State: 22:[53, 31], Operations: ['59-6=53', '33-2=31']
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
81,
62,
2,
38
] | 74 | [
"81-38=43",
"62/2=31",
"43+31=74"
] | Current State: 74:[81, 62, 2, 38], Operations: []
Exploring Operation: 81-38=43, Resulting Numbers: [62, 2, 43]
Generated Node #2: [62, 2, 43] from Operation: 81-38=43
Current State: 74:[62, 2, 43], Operations: ['81-38=43']
Exploring Operation: 62/2=31, Resulting Numbers: [43, 31]
Generated Node #3: [43, 31] from Operation: 62/2=31
Current State: 74:[43, 31], Operations: ['81-38=43', '62/2=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
92,
13,
36,
87
] | 18 | [
"92+13=105",
"36+87=123",
"123-105=18"
] | Current State: 18:[92, 13, 36, 87], Operations: []
Exploring Operation: 92+13=105, Resulting Numbers: [36, 87, 105]
Generated Node #2: [36, 87, 105] from Operation: 92+13=105
Current State: 18:[36, 87, 105], Operations: ['92+13=105']
Exploring Operation: 36+87=123, Resulting Numbers: [105, 123]
Generated Node #3: [105, 123] from Operation: 36+87=123
Current State: 18:[105, 123], Operations: ['92+13=105', '36+87=123']
Exploring Operation: 123-105=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
44,
36,
15
] | 18 | [
"73+15=88",
"44*36=1584",
"1584/88=18"
] | Current State: 18:[73, 44, 36, 15], Operations: []
Exploring Operation: 73+15=88, Resulting Numbers: [44, 36, 88]
Generated Node #2: [44, 36, 88] from Operation: 73+15=88
Current State: 18:[44, 36, 88], Operations: ['73+15=88']
Exploring Operation: 44*36=1584, Resulting Numbers: [88, 1584]
Generated Node #3: [88, 1584] from Operation: 44*36=1584
Current State: 18:[88, 1584], Operations: ['73+15=88', '44*36=1584']
Exploring Operation: 1584/88=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
90,
41,
27,
34
] | 92 | [
"41+27=68",
"68/34=2",
"90+2=92"
] | Current State: 92:[90, 41, 27, 34], Operations: []
Exploring Operation: 41+27=68, Resulting Numbers: [90, 34, 68]
Generated Node #2: [90, 34, 68] from Operation: 41+27=68
Current State: 92:[90, 34, 68], Operations: ['41+27=68']
Exploring Operation: 68/34=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 68/34=2
Current State: 92:[90, 2], Operations: ['41+27=68', '68/34=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
7,
41,
26
] | 14 | [
"7/7=1",
"41-26=15",
"15-1=14"
] | Current State: 14:[7, 7, 41, 26], Operations: []
Exploring Operation: 7/7=1, Resulting Numbers: [41, 26, 1]
Generated Node #2: [41, 26, 1] from Operation: 7/7=1
Current State: 14:[41, 26, 1], Operations: ['7/7=1']
Exploring Operation: 41-26=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 41-26=15
Current State: 14:[1, 15], Operations: ['7/7=1', '41-26=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
29,
8,
76,
25
] | 11 | [
"29-25=4",
"76/4=19",
"19-8=11"
] | Current State: 11:[29, 8, 76, 25], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [8, 76, 4]
Generated Node #2: [8, 76, 4] from Operation: 29-25=4
Current State: 11:[8, 76, 4], Operations: ['29-25=4']
Exploring Operation: 76/4=19, Resulting Numbers: [8, 19]
Generated Node #3: [8, 19] from Operation: 76/4=19
Current State: 11:[8, 19], Operations: ['29-25=4', '76/4=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
8,
91,
75
] | 10 | [
"91-75=16",
"16/8=2",
"8+2=10"
] | Current State: 10:[8, 8, 91, 75], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [8, 8, 16]
Generated Node #2: [8, 8, 16] from Operation: 91-75=16
Current State: 10:[8, 8, 16], Operations: ['91-75=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,10 equal: Goal Reached
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
19,
70,
2
] | 94 | [
"70-19=51",
"2*51=102",
"102-8=94"
] | Current State: 94:[8, 19, 70, 2], Operations: []
Exploring Operation: 70-19=51, Resulting Numbers: [8, 2, 51]
Generated Node #2: [8, 2, 51] from Operation: 70-19=51
Current State: 94:[8, 2, 51], Operations: ['70-19=51']
Exploring Operation: 2*51=102, Resulting Numbers: [8, 102]
Generated Node #3: [8, 102] from Operation: 2*51=102
Current State: 94:[8, 102], Operations: ['70-19=51', '2*51=102']
Exploring Operation: 102-8=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
85,
2,
19
] | 59 | [
"12+85=97",
"2*19=38",
"97-38=59"
] | Current State: 59:[12, 85, 2, 19], Operations: []
Exploring Operation: 12+85=97, Resulting Numbers: [2, 19, 97]
Generated Node #2: [2, 19, 97] from Operation: 12+85=97
Current State: 59:[2, 19, 97], Operations: ['12+85=97']
Exploring Operation: 2*19=38, Resulting Numbers: [97, 38]
Generated Node #3: [97, 38] from Operation: 2*19=38
Current State: 59:[97, 38], Operations: ['12+85=97', '2*19=38']
Exploring Operation: 97-38=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
42,
75,
76,
97
] | 54 | [
"75-42=33",
"97-76=21",
"33+21=54"
] | Current State: 54:[42, 75, 76, 97], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [76, 97, 33]
Generated Node #2: [76, 97, 33] from Operation: 75-42=33
Current State: 54:[76, 97, 33], Operations: ['75-42=33']
Exploring Operation: 97-76=21, Resulting Numbers: [33, 21]
Generated Node #3: [33, 21] from Operation: 97-76=21
Current State: 54:[33, 21], Operations: ['75-42=33', '97-76=21']
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
13,
94,
86,
83
] | 43 | [
"94-13=81",
"83-81=2",
"86/2=43"
] | Current State: 43:[13, 94, 86, 83], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [86, 83, 81]
Generated Node #2: [86, 83, 81] from Operation: 94-13=81
Current State: 43:[86, 83, 81], Operations: ['94-13=81']
Exploring Operation: 83-81=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 83-81=2
Current State: 43:[86, 2], Operations: ['94-13=81', '83-81=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
32,
91,
39,
20
] | 40 | [
"91-32=59",
"39-20=19",
"59-19=40"
] | Current State: 40:[32, 91, 39, 20], Operations: []
Exploring Operation: 91-32=59, Resulting Numbers: [39, 20, 59]
Generated Node #2: [39, 20, 59] from Operation: 91-32=59
Current State: 40:[39, 20, 59], Operations: ['91-32=59']
Exploring Operation: 39-20=19, Resulting Numbers: [59, 19]
Generated Node #3: [59, 19] from Operation: 39-20=19
Current State: 40:[59, 19], Operations: ['91-32=59', '39-20=19']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
97,
30,
6,
24
] | 63 | [
"97-30=67",
"24/6=4",
"67-4=63"
] | Current State: 63:[97, 30, 6, 24], Operations: []
Exploring Operation: 97-30=67, Resulting Numbers: [6, 24, 67]
Generated Node #2: [6, 24, 67] from Operation: 97-30=67
Current State: 63:[6, 24, 67], Operations: ['97-30=67']
Exploring Operation: 24/6=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 24/6=4
Current State: 63:[67, 4], Operations: ['97-30=67', '24/6=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
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