nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
61,
4,
38
] | 10 | [
"81+61=142",
"4*38=152",
"152-142=10"
] | Current State: 10:[81, 61, 4, 38], Operations: []
Exploring Operation: 81+61=142, Resulting Numbers: [4, 38, 142]
Generated Node #2: [4, 38, 142] from Operation: 81+61=142
Current State: 10:[4, 38, 142], Operations: ['81+61=142']
Exploring Operation: 4*38=152, Resulting Numbers: [142, 152]
Generated Node #3: [142, 152] from Operation: 4*38=152
Current State: 10:[142, 152], Operations: ['81+61=142', '4*38=152']
Exploring Operation: 152-142=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
26,
13,
13
] | 11 | [
"4*13=52",
"52/26=2",
"13-2=11"
] | Current State: 11:[4, 26, 13, 13], Operations: []
Exploring Operation: 4*13=52, Resulting Numbers: [26, 52]
Generated Node #2: [26, 52] from Operation: 4*13=52
Current State: 11:[26, 52], Operations: ['4*13=52']
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,11 equal: Goal Reached
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
13,
44,
21,
40
] | 49 | [
"21-13=8",
"40/8=5",
"44+5=49"
] | Current State: 49:[13, 44, 21, 40], Operations: []
Exploring Operation: 21-13=8, Resulting Numbers: [44, 40, 8]
Generated Node #2: [44, 40, 8] from Operation: 21-13=8
Current State: 49:[44, 40, 8], Operations: ['21-13=8']
Exploring Operation: 40/8=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 40/8=5
Current State: 49:[44, 5], Operations: ['21-13=8', '40/8=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
54,
27,
13,
89
] | 49 | [
"54-27=27",
"89-13=76",
"76-27=49"
] | Current State: 49:[54, 27, 13, 89], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [13, 89, 27]
Generated Node #2: [13, 89, 27] from Operation: 54-27=27
Current State: 49:[13, 89, 27], Operations: ['54-27=27']
Exploring Operation: 89-13=76, Resulting Numbers: [27, 76]
Generated Node #3: [27, 76] from Operation: 89-13=76
Current State: 49:[27, 76], Operations: ['54-27=27', '89-13=76']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
15,
43,
40,
29
] | 97 | [
"43-15=28",
"40+29=69",
"28+69=97"
] | Current State: 97:[15, 43, 40, 29], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [40, 29, 28]
Generated Node #2: [40, 29, 28] from Operation: 43-15=28
Current State: 97:[40, 29, 28], Operations: ['43-15=28']
Exploring Operation: 40+29=69, Resulting Numbers: [28, 69]
Generated Node #3: [28, 69] from Operation: 40+29=69
Current State: 97:[28, 69], Operations: ['43-15=28', '40+29=69']
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
61,
6,
9,
24
] | 25 | [
"24/6=4",
"9*4=36",
"61-36=25"
] | Current State: 25:[61, 6, 9, 24], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [61, 9, 4]
Generated Node #2: [61, 9, 4] from Operation: 24/6=4
Current State: 25:[61, 9, 4], Operations: ['24/6=4']
Exploring Operation: 9*4=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 9*4=36
Current State: 25:[61, 36], Operations: ['24/6=4', '9*4=36']
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
8,
49,
10
] | 38 | [
"49-30=19",
"10-8=2",
"19*2=38"
] | Current State: 38:[30, 8, 49, 10], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [8, 10, 19]
Generated Node #2: [8, 10, 19] from Operation: 49-30=19
Current State: 38:[8, 10, 19], Operations: ['49-30=19']
Exploring Operation: 10-8=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 10-8=2
Current State: 38:[19, 2], Operations: ['49-30=19', '10-8=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
2,
46,
16
] | 87 | [
"27-2=25",
"46+16=62",
"25+62=87"
] | Current State: 87:[27, 2, 46, 16], Operations: []
Exploring Operation: 27-2=25, Resulting Numbers: [46, 16, 25]
Generated Node #2: [46, 16, 25] from Operation: 27-2=25
Current State: 87:[46, 16, 25], Operations: ['27-2=25']
Exploring Operation: 46+16=62, Resulting Numbers: [25, 62]
Generated Node #3: [25, 62] from Operation: 46+16=62
Current State: 87:[25, 62], Operations: ['27-2=25', '46+16=62']
Exploring Operation: 25+62=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
37,
23,
2,
65
] | 79 | [
"65-37=28",
"2*28=56",
"23+56=79"
] | Current State: 79:[37, 23, 2, 65], Operations: []
Exploring Operation: 65-37=28, Resulting Numbers: [23, 2, 28]
Generated Node #2: [23, 2, 28] from Operation: 65-37=28
Current State: 79:[23, 2, 28], Operations: ['65-37=28']
Exploring Operation: 2*28=56, Resulting Numbers: [23, 56]
Generated Node #3: [23, 56] from Operation: 2*28=56
Current State: 79:[23, 56], Operations: ['65-37=28', '2*28=56']
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
34,
89,
10,
21
] | 86 | [
"89-34=55",
"10+21=31",
"55+31=86"
] | Current State: 86:[34, 89, 10, 21], Operations: []
Exploring Operation: 89-34=55, Resulting Numbers: [10, 21, 55]
Generated Node #2: [10, 21, 55] from Operation: 89-34=55
Current State: 86:[10, 21, 55], Operations: ['89-34=55']
Exploring Operation: 10+21=31, Resulting Numbers: [55, 31]
Generated Node #3: [55, 31] from Operation: 10+21=31
Current State: 86:[55, 31], Operations: ['89-34=55', '10+21=31']
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
1,
89,
88,
84
] | 93 | [
"1*89=89",
"88-84=4",
"89+4=93"
] | Current State: 93:[1, 89, 88, 84], Operations: []
Exploring Operation: 1*89=89, Resulting Numbers: [88, 84, 89]
Generated Node #2: [88, 84, 89] from Operation: 1*89=89
Current State: 93:[88, 84, 89], Operations: ['1*89=89']
Exploring Operation: 88-84=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 88-84=4
Current State: 93:[89, 4], Operations: ['1*89=89', '88-84=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
55,
55,
88
] | 88 | [
"55-55=0",
"9*0=0",
"88+0=88"
] | Current State: 88:[9, 55, 55, 88], Operations: []
Exploring Operation: 55-55=0, Resulting Numbers: [9, 88, 0]
Generated Node #2: [9, 88, 0] from Operation: 55-55=0
Current State: 88:[9, 88, 0], Operations: ['55-55=0']
Exploring Operation: 9*0=0, Resulting Numbers: [88, 0]
Generated Node #3: [88, 0] from Operation: 9*0=0
Current State: 88:[88, 0], Operations: ['55-55=0', '9*0=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
50,
91,
85
] | 82 | [
"50+85=135",
"135/15=9",
"91-9=82"
] | Current State: 82:[15, 50, 91, 85], Operations: []
Exploring Operation: 50+85=135, Resulting Numbers: [15, 91, 135]
Generated Node #2: [15, 91, 135] from Operation: 50+85=135
Current State: 82:[15, 91, 135], Operations: ['50+85=135']
Exploring Operation: 135/15=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 135/15=9
Current State: 82:[91, 9], Operations: ['50+85=135', '135/15=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
32,
18,
20,
36
] | 54 | [
"32+20=52",
"36/18=2",
"52+2=54"
] | Current State: 54:[32, 18, 20, 36], Operations: []
Exploring Operation: 32+20=52, Resulting Numbers: [18, 36, 52]
Generated Node #2: [18, 36, 52] from Operation: 32+20=52
Current State: 54:[18, 36, 52], Operations: ['32+20=52']
Exploring Operation: 36/18=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 36/18=2
Current State: 54:[52, 2], Operations: ['32+20=52', '36/18=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
87,
88,
28,
82
] | 52 | [
"87-82=5",
"28*5=140",
"140-88=52"
] | Current State: 52:[87, 88, 28, 82], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [88, 28, 5]
Generated Node #2: [88, 28, 5] from Operation: 87-82=5
Current State: 52:[88, 28, 5], Operations: ['87-82=5']
Exploring Operation: 28*5=140, Resulting Numbers: [88, 140]
Generated Node #3: [88, 140] from Operation: 28*5=140
Current State: 52:[88, 140], Operations: ['87-82=5', '28*5=140']
Exploring Operation: 140-88=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
69,
31,
6,
26
] | 99 | [
"31-26=5",
"6*5=30",
"69+30=99"
] | Current State: 99:[69, 31, 6, 26], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [69, 6, 5]
Generated Node #2: [69, 6, 5] from Operation: 31-26=5
Current State: 99:[69, 6, 5], Operations: ['31-26=5']
Exploring Operation: 6*5=30, Resulting Numbers: [69, 30]
Generated Node #3: [69, 30] from Operation: 6*5=30
Current State: 99:[69, 30], Operations: ['31-26=5', '6*5=30']
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
47,
17,
99,
17
] | 47 | [
"17-17=0",
"99*0=0",
"47+0=47"
] | Current State: 47:[47, 17, 99, 17], Operations: []
Exploring Operation: 17-17=0, Resulting Numbers: [47, 99, 0]
Generated Node #2: [47, 99, 0] from Operation: 17-17=0
Current State: 47:[47, 99, 0], Operations: ['17-17=0']
Exploring Operation: 99*0=0, Resulting Numbers: [47, 0]
Generated Node #3: [47, 0] from Operation: 99*0=0
Current State: 47:[47, 0], Operations: ['17-17=0', '99*0=0']
Exploring Operation: 47+0=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
15,
8,
5
] | 87 | [
"16*5=80",
"15-8=7",
"80+7=87"
] | Current State: 87:[16, 15, 8, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [15, 8, 80]
Generated Node #2: [15, 8, 80] from Operation: 16*5=80
Current State: 87:[15, 8, 80], Operations: ['16*5=80']
Exploring Operation: 15-8=7, Resulting Numbers: [80, 7]
Generated Node #3: [80, 7] from Operation: 15-8=7
Current State: 87:[80, 7], Operations: ['16*5=80', '15-8=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
35,
26,
17,
99
] | 21 | [
"35+26=61",
"99-17=82",
"82-61=21"
] | Current State: 21:[35, 26, 17, 99], Operations: []
Exploring Operation: 35+26=61, Resulting Numbers: [17, 99, 61]
Generated Node #2: [17, 99, 61] from Operation: 35+26=61
Current State: 21:[17, 99, 61], Operations: ['35+26=61']
Exploring Operation: 99-17=82, Resulting Numbers: [61, 82]
Generated Node #3: [61, 82] from Operation: 99-17=82
Current State: 21:[61, 82], Operations: ['35+26=61', '99-17=82']
Exploring Operation: 82-61=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
26,
4,
64,
29
] | 11 | [
"26*4=104",
"64+29=93",
"104-93=11"
] | Current State: 11:[26, 4, 64, 29], Operations: []
Exploring Operation: 26*4=104, Resulting Numbers: [64, 29, 104]
Generated Node #2: [64, 29, 104] from Operation: 26*4=104
Current State: 11:[64, 29, 104], Operations: ['26*4=104']
Exploring Operation: 64+29=93, Resulting Numbers: [104, 93]
Generated Node #3: [104, 93] from Operation: 64+29=93
Current State: 11:[104, 93], Operations: ['26*4=104', '64+29=93']
Exploring Operation: 104-93=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
61,
29,
13
] | 79 | [
"2+61=63",
"29-13=16",
"63+16=79"
] | Current State: 79:[2, 61, 29, 13], Operations: []
Exploring Operation: 2+61=63, Resulting Numbers: [29, 13, 63]
Generated Node #2: [29, 13, 63] from Operation: 2+61=63
Current State: 79:[29, 13, 63], Operations: ['2+61=63']
Exploring Operation: 29-13=16, Resulting Numbers: [63, 16]
Generated Node #3: [63, 16] from Operation: 29-13=16
Current State: 79:[63, 16], Operations: ['2+61=63', '29-13=16']
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
38,
99,
28,
86
] | 79 | [
"38+99=137",
"86-28=58",
"137-58=79"
] | Current State: 79:[38, 99, 28, 86], Operations: []
Exploring Operation: 38+99=137, Resulting Numbers: [28, 86, 137]
Generated Node #2: [28, 86, 137] from Operation: 38+99=137
Current State: 79:[28, 86, 137], Operations: ['38+99=137']
Exploring Operation: 86-28=58, Resulting Numbers: [137, 58]
Generated Node #3: [137, 58] from Operation: 86-28=58
Current State: 79:[137, 58], Operations: ['38+99=137', '86-28=58']
Exploring Operation: 137-58=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
52,
53,
49
] | 44 | [
"49-5=44",
"53-52=1",
"44*1=44"
] | Current State: 44:[5, 52, 53, 49], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [52, 53, 44]
Generated Node #2: [52, 53, 44] from Operation: 49-5=44
Current State: 44:[52, 53, 44], Operations: ['49-5=44']
Exploring Operation: 53-52=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 53-52=1
Current State: 44:[44, 1], Operations: ['49-5=44', '53-52=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
6,
11,
72,
36
] | 10 | [
"11-6=5",
"72/36=2",
"5*2=10"
] | Current State: 10:[6, 11, 72, 36], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [72, 36, 5]
Generated Node #2: [72, 36, 5] from Operation: 11-6=5
Current State: 10:[72, 36, 5], Operations: ['11-6=5']
Exploring Operation: 72/36=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 72/36=2
Current State: 10:[5, 2], Operations: ['11-6=5', '72/36=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
42,
82,
21,
56
] | 30 | [
"42/21=2",
"56*2=112",
"112-82=30"
] | Current State: 30:[42, 82, 21, 56], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [82, 56, 2]
Generated Node #2: [82, 56, 2] from Operation: 42/21=2
Current State: 30:[82, 56, 2], Operations: ['42/21=2']
Exploring Operation: 56*2=112, Resulting Numbers: [82, 112]
Generated Node #3: [82, 112] from Operation: 56*2=112
Current State: 30:[82, 112], Operations: ['42/21=2', '56*2=112']
Exploring Operation: 112-82=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
74,
60,
72,
80
] | 22 | [
"74-60=14",
"80-72=8",
"14+8=22"
] | Current State: 22:[74, 60, 72, 80], Operations: []
Exploring Operation: 74-60=14, Resulting Numbers: [72, 80, 14]
Generated Node #2: [72, 80, 14] from Operation: 74-60=14
Current State: 22:[72, 80, 14], Operations: ['74-60=14']
Exploring Operation: 80-72=8, Resulting Numbers: [14, 8]
Generated Node #3: [14, 8] from Operation: 80-72=8
Current State: 22:[14, 8], Operations: ['74-60=14', '80-72=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
1,
48,
52,
26
] | 48 | [
"52/26=2",
"2-1=1",
"48*1=48"
] | Current State: 48:[1, 48, 52, 26], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [1, 48, 2]
Generated Node #2: [1, 48, 2] from Operation: 52/26=2
Current State: 48:[1, 48, 2], Operations: ['52/26=2']
Exploring Operation: 2-1=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 2-1=1
Current State: 48:[48, 1], Operations: ['52/26=2', '2-1=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
23,
13,
63,
50
] | 77 | [
"23+13=36",
"63+50=113",
"113-36=77"
] | Current State: 77:[23, 13, 63, 50], Operations: []
Exploring Operation: 23+13=36, Resulting Numbers: [63, 50, 36]
Generated Node #2: [63, 50, 36] from Operation: 23+13=36
Current State: 77:[63, 50, 36], Operations: ['23+13=36']
Exploring Operation: 63+50=113, Resulting Numbers: [36, 113]
Generated Node #3: [36, 113] from Operation: 63+50=113
Current State: 77:[36, 113], Operations: ['23+13=36', '63+50=113']
Exploring Operation: 113-36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
46,
29,
22,
35
] | 74 | [
"46-29=17",
"22+35=57",
"17+57=74"
] | Current State: 74:[46, 29, 22, 35], Operations: []
Exploring Operation: 46-29=17, Resulting Numbers: [22, 35, 17]
Generated Node #2: [22, 35, 17] from Operation: 46-29=17
Current State: 74:[22, 35, 17], Operations: ['46-29=17']
Exploring Operation: 22+35=57, Resulting Numbers: [17, 57]
Generated Node #3: [17, 57] from Operation: 22+35=57
Current State: 74:[17, 57], Operations: ['46-29=17', '22+35=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
46,
10,
49,
31
] | 44 | [
"46-10=36",
"49+31=80",
"80-36=44"
] | Current State: 44:[46, 10, 49, 31], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [49, 31, 36]
Generated Node #2: [49, 31, 36] from Operation: 46-10=36
Current State: 44:[49, 31, 36], Operations: ['46-10=36']
Exploring Operation: 49+31=80, Resulting Numbers: [36, 80]
Generated Node #3: [36, 80] from Operation: 49+31=80
Current State: 44:[36, 80], Operations: ['46-10=36', '49+31=80']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
56,
59,
96,
18
] | 42 | [
"59-56=3",
"18*3=54",
"96-54=42"
] | Current State: 42:[56, 59, 96, 18], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [96, 18, 3]
Generated Node #2: [96, 18, 3] from Operation: 59-56=3
Current State: 42:[96, 18, 3], Operations: ['59-56=3']
Exploring Operation: 18*3=54, Resulting Numbers: [96, 54]
Generated Node #3: [96, 54] from Operation: 18*3=54
Current State: 42:[96, 54], Operations: ['59-56=3', '18*3=54']
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
62,
54,
4,
93
] | 87 | [
"54+4=58",
"93*58=5394",
"5394/62=87"
] | Current State: 87:[62, 54, 4, 93], Operations: []
Exploring Operation: 54+4=58, Resulting Numbers: [62, 93, 58]
Generated Node #2: [62, 93, 58] from Operation: 54+4=58
Current State: 87:[62, 93, 58], Operations: ['54+4=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [62, 5394]
Generated Node #3: [62, 5394] from Operation: 93*58=5394
Current State: 87:[62, 5394], Operations: ['54+4=58', '93*58=5394']
Exploring Operation: 5394/62=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
70,
16,
31
] | 65 | [
"10+70=80",
"31-16=15",
"80-15=65"
] | Current State: 65:[10, 70, 16, 31], Operations: []
Exploring Operation: 10+70=80, Resulting Numbers: [16, 31, 80]
Generated Node #2: [16, 31, 80] from Operation: 10+70=80
Current State: 65:[16, 31, 80], Operations: ['10+70=80']
Exploring Operation: 31-16=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 31-16=15
Current State: 65:[80, 15], Operations: ['10+70=80', '31-16=15']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
24,
31,
48
] | 76 | [
"43+31=74",
"48/24=2",
"74+2=76"
] | Current State: 76:[43, 24, 31, 48], Operations: []
Exploring Operation: 43+31=74, Resulting Numbers: [24, 48, 74]
Generated Node #2: [24, 48, 74] from Operation: 43+31=74
Current State: 76:[24, 48, 74], Operations: ['43+31=74']
Exploring Operation: 48/24=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 48/24=2
Current State: 76:[74, 2], Operations: ['43+31=74', '48/24=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
26,
39,
23,
2
] | 20 | [
"39-26=13",
"23-13=10",
"2*10=20"
] | Current State: 20:[26, 39, 23, 2], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [23, 2, 13]
Generated Node #2: [23, 2, 13] from Operation: 39-26=13
Current State: 20:[23, 2, 13], Operations: ['39-26=13']
Exploring Operation: 23-13=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 23-13=10
Current State: 20:[2, 10], Operations: ['39-26=13', '23-13=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
88,
73,
68,
7
] | 46 | [
"88-73=15",
"68-7=61",
"61-15=46"
] | Current State: 46:[88, 73, 68, 7], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [68, 7, 15]
Generated Node #2: [68, 7, 15] from Operation: 88-73=15
Current State: 46:[68, 7, 15], Operations: ['88-73=15']
Exploring Operation: 68-7=61, Resulting Numbers: [15, 61]
Generated Node #3: [15, 61] from Operation: 68-7=61
Current State: 46:[15, 61], Operations: ['88-73=15', '68-7=61']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
18,
69,
13,
58
] | 100 | [
"18*69=1242",
"58+1242=1300",
"1300/13=100"
] | Current State: 100:[18, 69, 13, 58], Operations: []
Exploring Operation: 18*69=1242, Resulting Numbers: [13, 58, 1242]
Generated Node #2: [13, 58, 1242] from Operation: 18*69=1242
Current State: 100:[13, 58, 1242], Operations: ['18*69=1242']
Exploring Operation: 58+1242=1300, Resulting Numbers: [13, 1300]
Generated Node #3: [13, 1300] from Operation: 58+1242=1300
Current State: 100:[13, 1300], Operations: ['18*69=1242', '58+1242=1300']
Exploring Operation: 1300/13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
92,
70,
95
] | 41 | [
"92-76=16",
"95-70=25",
"16+25=41"
] | Current State: 41:[76, 92, 70, 95], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [70, 95, 16]
Generated Node #2: [70, 95, 16] from Operation: 92-76=16
Current State: 41:[70, 95, 16], Operations: ['92-76=16']
Exploring Operation: 95-70=25, Resulting Numbers: [16, 25]
Generated Node #3: [16, 25] from Operation: 95-70=25
Current State: 41:[16, 25], Operations: ['92-76=16', '95-70=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
29,
35,
61,
58
] | 55 | [
"29+35=64",
"61+58=119",
"119-64=55"
] | Current State: 55:[29, 35, 61, 58], Operations: []
Exploring Operation: 29+35=64, Resulting Numbers: [61, 58, 64]
Generated Node #2: [61, 58, 64] from Operation: 29+35=64
Current State: 55:[61, 58, 64], Operations: ['29+35=64']
Exploring Operation: 61+58=119, Resulting Numbers: [64, 119]
Generated Node #3: [64, 119] from Operation: 61+58=119
Current State: 55:[64, 119], Operations: ['29+35=64', '61+58=119']
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
56,
98,
28
] | 27 | [
"98-73=25",
"56/28=2",
"25+2=27"
] | Current State: 27:[73, 56, 98, 28], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [56, 28, 25]
Generated Node #2: [56, 28, 25] from Operation: 98-73=25
Current State: 27:[56, 28, 25], Operations: ['98-73=25']
Exploring Operation: 56/28=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 56/28=2
Current State: 27:[25, 2], Operations: ['98-73=25', '56/28=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
7,
73,
8,
73
] | 64 | [
"73/73=1",
"7+1=8",
"8*8=64"
] | Current State: 64:[7, 73, 8, 73], Operations: []
Exploring Operation: 73/73=1, Resulting Numbers: [7, 8, 1]
Generated Node #2: [7, 8, 1] from Operation: 73/73=1
Current State: 64:[7, 8, 1], Operations: ['73/73=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 7+1=8
Current State: 64:[8, 8], Operations: ['73/73=1', '7+1=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
64,
2,
4,
21
] | 90 | [
"64-21=43",
"2*43=86",
"4+86=90"
] | Current State: 90:[64, 2, 4, 21], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [2, 4, 43]
Generated Node #2: [2, 4, 43] from Operation: 64-21=43
Current State: 90:[2, 4, 43], Operations: ['64-21=43']
Exploring Operation: 2*43=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 2*43=86
Current State: 90:[4, 86], Operations: ['64-21=43', '2*43=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
54,
83,
42
] | 79 | [
"45-42=3",
"54*3=162",
"162-83=79"
] | Current State: 79:[45, 54, 83, 42], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [54, 83, 3]
Generated Node #2: [54, 83, 3] from Operation: 45-42=3
Current State: 79:[54, 83, 3], Operations: ['45-42=3']
Exploring Operation: 54*3=162, Resulting Numbers: [83, 162]
Generated Node #3: [83, 162] from Operation: 54*3=162
Current State: 79:[83, 162], Operations: ['45-42=3', '54*3=162']
Exploring Operation: 162-83=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
90,
34,
26,
6
] | 100 | [
"90-34=56",
"26*6=156",
"156-56=100"
] | Current State: 100:[90, 34, 26, 6], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [26, 6, 56]
Generated Node #2: [26, 6, 56] from Operation: 90-34=56
Current State: 100:[26, 6, 56], Operations: ['90-34=56']
Exploring Operation: 26*6=156, Resulting Numbers: [56, 156]
Generated Node #3: [56, 156] from Operation: 26*6=156
Current State: 100:[56, 156], Operations: ['90-34=56', '26*6=156']
Exploring Operation: 156-56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
2,
29,
5
] | 84 | [
"25*2=50",
"29+5=34",
"50+34=84"
] | Current State: 84:[25, 2, 29, 5], Operations: []
Exploring Operation: 25*2=50, Resulting Numbers: [29, 5, 50]
Generated Node #2: [29, 5, 50] from Operation: 25*2=50
Current State: 84:[29, 5, 50], Operations: ['25*2=50']
Exploring Operation: 29+5=34, Resulting Numbers: [50, 34]
Generated Node #3: [50, 34] from Operation: 29+5=34
Current State: 84:[50, 34], Operations: ['25*2=50', '29+5=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
2,
83,
8
] | 35 | [
"20*2=40",
"83-8=75",
"75-40=35"
] | Current State: 35:[20, 2, 83, 8], Operations: []
Exploring Operation: 20*2=40, Resulting Numbers: [83, 8, 40]
Generated Node #2: [83, 8, 40] from Operation: 20*2=40
Current State: 35:[83, 8, 40], Operations: ['20*2=40']
Exploring Operation: 83-8=75, Resulting Numbers: [40, 75]
Generated Node #3: [40, 75] from Operation: 83-8=75
Current State: 35:[40, 75], Operations: ['20*2=40', '83-8=75']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
90,
53,
2
] | 61 | [
"12*2=24",
"90-53=37",
"24+37=61"
] | Current State: 61:[12, 90, 53, 2], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [90, 53, 24]
Generated Node #2: [90, 53, 24] from Operation: 12*2=24
Current State: 61:[90, 53, 24], Operations: ['12*2=24']
Exploring Operation: 90-53=37, Resulting Numbers: [24, 37]
Generated Node #3: [24, 37] from Operation: 90-53=37
Current State: 61:[24, 37], Operations: ['12*2=24', '90-53=37']
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
62,
80,
19
] | 57 | [
"15+62=77",
"80-77=3",
"19*3=57"
] | Current State: 57:[15, 62, 80, 19], Operations: []
Exploring Operation: 15+62=77, Resulting Numbers: [80, 19, 77]
Generated Node #2: [80, 19, 77] from Operation: 15+62=77
Current State: 57:[80, 19, 77], Operations: ['15+62=77']
Exploring Operation: 80-77=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 80-77=3
Current State: 57:[19, 3], Operations: ['15+62=77', '80-77=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
45,
79,
84,
91
] | 49 | [
"45*84=3780",
"91+3780=3871",
"3871/79=49"
] | Current State: 49:[45, 79, 84, 91], Operations: []
Exploring Operation: 45*84=3780, Resulting Numbers: [79, 91, 3780]
Generated Node #2: [79, 91, 3780] from Operation: 45*84=3780
Current State: 49:[79, 91, 3780], Operations: ['45*84=3780']
Exploring Operation: 91+3780=3871, Resulting Numbers: [79, 3871]
Generated Node #3: [79, 3871] from Operation: 91+3780=3871
Current State: 49:[79, 3871], Operations: ['45*84=3780', '91+3780=3871']
Exploring Operation: 3871/79=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
68,
45,
90,
43
] | 77 | [
"68*45=3060",
"3060/90=34",
"43+34=77"
] | Current State: 77:[68, 45, 90, 43], Operations: []
Exploring Operation: 68*45=3060, Resulting Numbers: [90, 43, 3060]
Generated Node #2: [90, 43, 3060] from Operation: 68*45=3060
Current State: 77:[90, 43, 3060], Operations: ['68*45=3060']
Exploring Operation: 3060/90=34, Resulting Numbers: [43, 34]
Generated Node #3: [43, 34] from Operation: 3060/90=34
Current State: 77:[43, 34], Operations: ['68*45=3060', '3060/90=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
56,
34,
73,
54
] | 47 | [
"34*73=2482",
"56+2482=2538",
"2538/54=47"
] | Current State: 47:[56, 34, 73, 54], Operations: []
Exploring Operation: 34*73=2482, Resulting Numbers: [56, 54, 2482]
Generated Node #2: [56, 54, 2482] from Operation: 34*73=2482
Current State: 47:[56, 54, 2482], Operations: ['34*73=2482']
Exploring Operation: 56+2482=2538, Resulting Numbers: [54, 2538]
Generated Node #3: [54, 2538] from Operation: 56+2482=2538
Current State: 47:[54, 2538], Operations: ['34*73=2482', '56+2482=2538']
Exploring Operation: 2538/54=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
15,
9,
98
] | 78 | [
"45/9=5",
"98-15=83",
"83-5=78"
] | Current State: 78:[45, 15, 9, 98], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [15, 98, 5]
Generated Node #2: [15, 98, 5] from Operation: 45/9=5
Current State: 78:[15, 98, 5], Operations: ['45/9=5']
Exploring Operation: 98-15=83, Resulting Numbers: [5, 83]
Generated Node #3: [5, 83] from Operation: 98-15=83
Current State: 78:[5, 83], Operations: ['45/9=5', '98-15=83']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
89,
95,
56
] | 53 | [
"95-89=6",
"6/2=3",
"56-3=53"
] | Current State: 53:[2, 89, 95, 56], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [2, 56, 6]
Generated Node #2: [2, 56, 6] from Operation: 95-89=6
Current State: 53:[2, 56, 6], Operations: ['95-89=6']
Exploring Operation: 6/2=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 6/2=3
Current State: 53:[56, 3], Operations: ['95-89=6', '6/2=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
72,
82,
29,
57
] | 38 | [
"82-72=10",
"57-29=28",
"10+28=38"
] | Current State: 38:[72, 82, 29, 57], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [29, 57, 10]
Generated Node #2: [29, 57, 10] from Operation: 82-72=10
Current State: 38:[29, 57, 10], Operations: ['82-72=10']
Exploring Operation: 57-29=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 57-29=28
Current State: 38:[10, 28], Operations: ['82-72=10', '57-29=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
54,
33,
66,
11
] | 15 | [
"54-33=21",
"66/11=6",
"21-6=15"
] | Current State: 15:[54, 33, 66, 11], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [66, 11, 21]
Generated Node #2: [66, 11, 21] from Operation: 54-33=21
Current State: 15:[66, 11, 21], Operations: ['54-33=21']
Exploring Operation: 66/11=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 66/11=6
Current State: 15:[21, 6], Operations: ['54-33=21', '66/11=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
48,
62,
58,
29
] | 23 | [
"48+62=110",
"58+29=87",
"110-87=23"
] | Current State: 23:[48, 62, 58, 29], Operations: []
Exploring Operation: 48+62=110, Resulting Numbers: [58, 29, 110]
Generated Node #2: [58, 29, 110] from Operation: 48+62=110
Current State: 23:[58, 29, 110], Operations: ['48+62=110']
Exploring Operation: 58+29=87, Resulting Numbers: [110, 87]
Generated Node #3: [110, 87] from Operation: 58+29=87
Current State: 23:[110, 87], Operations: ['48+62=110', '58+29=87']
Exploring Operation: 110-87=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
18,
72,
32,
18
] | 68 | [
"72-18=54",
"32-18=14",
"54+14=68"
] | Current State: 68:[18, 72, 32, 18], Operations: []
Exploring Operation: 72-18=54, Resulting Numbers: [32, 54]
Generated Node #2: [32, 54] from Operation: 72-18=54
Current State: 68:[32, 54], Operations: ['72-18=54']
Exploring Operation: 32-18=14, Resulting Numbers: [54, 14]
Generated Node #3: [54, 14] from Operation: 32-18=14
Current State: 68:[54, 14], Operations: ['72-18=54', '32-18=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
25,
80,
9,
74
] | 29 | [
"80-74=6",
"9*6=54",
"54-25=29"
] | Current State: 29:[25, 80, 9, 74], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [25, 9, 6]
Generated Node #2: [25, 9, 6] from Operation: 80-74=6
Current State: 29:[25, 9, 6], Operations: ['80-74=6']
Exploring Operation: 9*6=54, Resulting Numbers: [25, 54]
Generated Node #3: [25, 54] from Operation: 9*6=54
Current State: 29:[25, 54], Operations: ['80-74=6', '9*6=54']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
8,
18,
6,
31
] | 42 | [
"8*18=144",
"6*31=186",
"186-144=42"
] | Current State: 42:[8, 18, 6, 31], Operations: []
Exploring Operation: 8*18=144, Resulting Numbers: [6, 31, 144]
Generated Node #2: [6, 31, 144] from Operation: 8*18=144
Current State: 42:[6, 31, 144], Operations: ['8*18=144']
Exploring Operation: 6*31=186, Resulting Numbers: [144, 186]
Generated Node #3: [144, 186] from Operation: 6*31=186
Current State: 42:[144, 186], Operations: ['8*18=144', '6*31=186']
Exploring Operation: 186-144=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
46,
69,
86,
85
] | 41 | [
"86-69=17",
"85/17=5",
"46-5=41"
] | Current State: 41:[46, 69, 86, 85], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [46, 85, 17]
Generated Node #2: [46, 85, 17] from Operation: 86-69=17
Current State: 41:[46, 85, 17], Operations: ['86-69=17']
Exploring Operation: 85/17=5, Resulting Numbers: [46, 5]
Generated Node #3: [46, 5] from Operation: 85/17=5
Current State: 41:[46, 5], Operations: ['86-69=17', '85/17=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
33,
55,
22,
27
] | 73 | [
"22*27=594",
"594/33=18",
"55+18=73"
] | Current State: 73:[33, 55, 22, 27], Operations: []
Exploring Operation: 22*27=594, Resulting Numbers: [33, 55, 594]
Generated Node #2: [33, 55, 594] from Operation: 22*27=594
Current State: 73:[33, 55, 594], Operations: ['22*27=594']
Exploring Operation: 594/33=18, Resulting Numbers: [55, 18]
Generated Node #3: [55, 18] from Operation: 594/33=18
Current State: 73:[55, 18], Operations: ['22*27=594', '594/33=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
12,
33,
91,
31
] | 39 | [
"33-12=21",
"91-31=60",
"60-21=39"
] | Current State: 39:[12, 33, 91, 31], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [91, 31, 21]
Generated Node #2: [91, 31, 21] from Operation: 33-12=21
Current State: 39:[91, 31, 21], Operations: ['33-12=21']
Exploring Operation: 91-31=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 91-31=60
Current State: 39:[21, 60], Operations: ['33-12=21', '91-31=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
17,
6,
48,
82
] | 11 | [
"17+6=23",
"82-48=34",
"34-23=11"
] | Current State: 11:[17, 6, 48, 82], Operations: []
Exploring Operation: 17+6=23, Resulting Numbers: [48, 82, 23]
Generated Node #2: [48, 82, 23] from Operation: 17+6=23
Current State: 11:[48, 82, 23], Operations: ['17+6=23']
Exploring Operation: 82-48=34, Resulting Numbers: [23, 34]
Generated Node #3: [23, 34] from Operation: 82-48=34
Current State: 11:[23, 34], Operations: ['17+6=23', '82-48=34']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
75,
24,
50
] | 44 | [
"75*24=1800",
"1800/50=36",
"8+36=44"
] | Current State: 44:[8, 75, 24, 50], Operations: []
Exploring Operation: 75*24=1800, Resulting Numbers: [8, 50, 1800]
Generated Node #2: [8, 50, 1800] from Operation: 75*24=1800
Current State: 44:[8, 50, 1800], Operations: ['75*24=1800']
Exploring Operation: 1800/50=36, Resulting Numbers: [8, 36]
Generated Node #3: [8, 36] from Operation: 1800/50=36
Current State: 44:[8, 36], Operations: ['75*24=1800', '1800/50=36']
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
20,
70,
81,
35
] | 63 | [
"81-20=61",
"70/35=2",
"61+2=63"
] | Current State: 63:[20, 70, 81, 35], Operations: []
Exploring Operation: 81-20=61, Resulting Numbers: [70, 35, 61]
Generated Node #2: [70, 35, 61] from Operation: 81-20=61
Current State: 63:[70, 35, 61], Operations: ['81-20=61']
Exploring Operation: 70/35=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 70/35=2
Current State: 63:[61, 2], Operations: ['81-20=61', '70/35=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
30,
76,
33,
68
] | 66 | [
"68-30=38",
"76*33=2508",
"2508/38=66"
] | Current State: 66:[30, 76, 33, 68], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [76, 33, 38]
Generated Node #2: [76, 33, 38] from Operation: 68-30=38
Current State: 66:[76, 33, 38], Operations: ['68-30=38']
Exploring Operation: 76*33=2508, Resulting Numbers: [38, 2508]
Generated Node #3: [38, 2508] from Operation: 76*33=2508
Current State: 66:[38, 2508], Operations: ['68-30=38', '76*33=2508']
Exploring Operation: 2508/38=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
8,
33,
58
] | 10 | [
"20*33=660",
"8+58=66",
"660/66=10"
] | Current State: 10:[20, 8, 33, 58], Operations: []
Exploring Operation: 20*33=660, Resulting Numbers: [8, 58, 660]
Generated Node #2: [8, 58, 660] from Operation: 20*33=660
Current State: 10:[8, 58, 660], Operations: ['20*33=660']
Exploring Operation: 8+58=66, Resulting Numbers: [660, 66]
Generated Node #3: [660, 66] from Operation: 8+58=66
Current State: 10:[660, 66], Operations: ['20*33=660', '8+58=66']
Exploring Operation: 660/66=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
75,
79,
24,
15
] | 11 | [
"75/15=5",
"79-24=55",
"55/5=11"
] | Current State: 11:[75, 79, 24, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [79, 24, 5]
Generated Node #2: [79, 24, 5] from Operation: 75/15=5
Current State: 11:[79, 24, 5], Operations: ['75/15=5']
Exploring Operation: 79-24=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 79-24=55
Current State: 11:[5, 55], Operations: ['75/15=5', '79-24=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
74,
76,
5
] | 25 | [
"45+5=50",
"76-74=2",
"50/2=25"
] | Current State: 25:[45, 74, 76, 5], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [74, 76, 50]
Generated Node #2: [74, 76, 50] from Operation: 45+5=50
Current State: 25:[74, 76, 50], Operations: ['45+5=50']
Exploring Operation: 76-74=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 76-74=2
Current State: 25:[50, 2], Operations: ['45+5=50', '76-74=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
7,
46,
67,
50
] | 70 | [
"7+46=53",
"67-50=17",
"53+17=70"
] | Current State: 70:[7, 46, 67, 50], Operations: []
Exploring Operation: 7+46=53, Resulting Numbers: [67, 50, 53]
Generated Node #2: [67, 50, 53] from Operation: 7+46=53
Current State: 70:[67, 50, 53], Operations: ['7+46=53']
Exploring Operation: 67-50=17, Resulting Numbers: [53, 17]
Generated Node #3: [53, 17] from Operation: 67-50=17
Current State: 70:[53, 17], Operations: ['7+46=53', '67-50=17']
Exploring Operation: 53+17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
72,
44,
28,
54
] | 12 | [
"44-28=16",
"54*16=864",
"864/72=12"
] | Current State: 12:[72, 44, 28, 54], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [72, 54, 16]
Generated Node #2: [72, 54, 16] from Operation: 44-28=16
Current State: 12:[72, 54, 16], Operations: ['44-28=16']
Exploring Operation: 54*16=864, Resulting Numbers: [72, 864]
Generated Node #3: [72, 864] from Operation: 54*16=864
Current State: 12:[72, 864], Operations: ['44-28=16', '54*16=864']
Exploring Operation: 864/72=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
71,
2,
21,
40
] | 45 | [
"71-21=50",
"40+50=90",
"90/2=45"
] | Current State: 45:[71, 2, 21, 40], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [2, 40, 50]
Generated Node #2: [2, 40, 50] from Operation: 71-21=50
Current State: 45:[2, 40, 50], Operations: ['71-21=50']
Exploring Operation: 40+50=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 40+50=90
Current State: 45:[2, 90], Operations: ['71-21=50', '40+50=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
5,
81,
98
] | 50 | [
"7+81=88",
"98-88=10",
"5*10=50"
] | Current State: 50:[7, 5, 81, 98], Operations: []
Exploring Operation: 7+81=88, Resulting Numbers: [5, 98, 88]
Generated Node #2: [5, 98, 88] from Operation: 7+81=88
Current State: 50:[5, 98, 88], Operations: ['7+81=88']
Exploring Operation: 98-88=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 98-88=10
Current State: 50:[5, 10], Operations: ['7+81=88', '98-88=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
4,
49,
41,
11
] | 13 | [
"49-41=8",
"8/4=2",
"11+2=13"
] | Current State: 13:[4, 49, 41, 11], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [4, 11, 8]
Generated Node #2: [4, 11, 8] from Operation: 49-41=8
Current State: 13:[4, 11, 8], Operations: ['49-41=8']
Exploring Operation: 8/4=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 8/4=2
Current State: 13:[11, 2], Operations: ['49-41=8', '8/4=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
33,
19,
4,
4
] | 19 | [
"4-4=0",
"33*0=0",
"19+0=19"
] | Current State: 19:[33, 19, 4, 4], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [33, 19, 0]
Generated Node #2: [33, 19, 0] from Operation: 4-4=0
Current State: 19:[33, 19, 0], Operations: ['4-4=0']
Exploring Operation: 33*0=0, Resulting Numbers: [19, 0]
Generated Node #3: [19, 0] from Operation: 33*0=0
Current State: 19:[19, 0], Operations: ['4-4=0', '33*0=0']
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
90,
4,
36
] | 15 | [
"2+4=6",
"90*6=540",
"540/36=15"
] | Current State: 15:[2, 90, 4, 36], Operations: []
Exploring Operation: 2+4=6, Resulting Numbers: [90, 36, 6]
Generated Node #2: [90, 36, 6] from Operation: 2+4=6
Current State: 15:[90, 36, 6], Operations: ['2+4=6']
Exploring Operation: 90*6=540, Resulting Numbers: [36, 540]
Generated Node #3: [36, 540] from Operation: 90*6=540
Current State: 15:[36, 540], Operations: ['2+4=6', '90*6=540']
Exploring Operation: 540/36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
37,
22,
43,
8
] | 66 | [
"37-22=15",
"43+8=51",
"15+51=66"
] | Current State: 66:[37, 22, 43, 8], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [43, 8, 15]
Generated Node #2: [43, 8, 15] from Operation: 37-22=15
Current State: 66:[43, 8, 15], Operations: ['37-22=15']
Exploring Operation: 43+8=51, Resulting Numbers: [15, 51]
Generated Node #3: [15, 51] from Operation: 43+8=51
Current State: 66:[15, 51], Operations: ['37-22=15', '43+8=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
21,
6,
81
] | 51 | [
"45-21=24",
"81-6=75",
"75-24=51"
] | Current State: 51:[45, 21, 6, 81], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [6, 81, 24]
Generated Node #2: [6, 81, 24] from Operation: 45-21=24
Current State: 51:[6, 81, 24], Operations: ['45-21=24']
Exploring Operation: 81-6=75, Resulting Numbers: [24, 75]
Generated Node #3: [24, 75] from Operation: 81-6=75
Current State: 51:[24, 75], Operations: ['45-21=24', '81-6=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
95,
35,
85,
28
] | 17 | [
"95+35=130",
"85+28=113",
"130-113=17"
] | Current State: 17:[95, 35, 85, 28], Operations: []
Exploring Operation: 95+35=130, Resulting Numbers: [85, 28, 130]
Generated Node #2: [85, 28, 130] from Operation: 95+35=130
Current State: 17:[85, 28, 130], Operations: ['95+35=130']
Exploring Operation: 85+28=113, Resulting Numbers: [130, 113]
Generated Node #3: [130, 113] from Operation: 85+28=113
Current State: 17:[130, 113], Operations: ['95+35=130', '85+28=113']
Exploring Operation: 130-113=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
55,
8,
60,
16
] | 56 | [
"60-55=5",
"8*5=40",
"16+40=56"
] | Current State: 56:[55, 8, 60, 16], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [8, 16, 5]
Generated Node #2: [8, 16, 5] from Operation: 60-55=5
Current State: 56:[8, 16, 5], Operations: ['60-55=5']
Exploring Operation: 8*5=40, Resulting Numbers: [16, 40]
Generated Node #3: [16, 40] from Operation: 8*5=40
Current State: 56:[16, 40], Operations: ['60-55=5', '8*5=40']
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
10,
44,
32,
83
] | 70 | [
"44+32=76",
"83-76=7",
"10*7=70"
] | Current State: 70:[10, 44, 32, 83], Operations: []
Exploring Operation: 44+32=76, Resulting Numbers: [10, 83, 76]
Generated Node #2: [10, 83, 76] from Operation: 44+32=76
Current State: 70:[10, 83, 76], Operations: ['44+32=76']
Exploring Operation: 83-76=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 83-76=7
Current State: 70:[10, 7], Operations: ['44+32=76', '83-76=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
11,
41,
10,
30
] | 32 | [
"11+41=52",
"30-10=20",
"52-20=32"
] | Current State: 32:[11, 41, 10, 30], Operations: []
Exploring Operation: 11+41=52, Resulting Numbers: [10, 30, 52]
Generated Node #2: [10, 30, 52] from Operation: 11+41=52
Current State: 32:[10, 30, 52], Operations: ['11+41=52']
Exploring Operation: 30-10=20, Resulting Numbers: [52, 20]
Generated Node #3: [52, 20] from Operation: 30-10=20
Current State: 32:[52, 20], Operations: ['11+41=52', '30-10=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
79,
19,
23,
35
] | 72 | [
"79-19=60",
"35-23=12",
"60+12=72"
] | Current State: 72:[79, 19, 23, 35], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [23, 35, 60]
Generated Node #2: [23, 35, 60] from Operation: 79-19=60
Current State: 72:[23, 35, 60], Operations: ['79-19=60']
Exploring Operation: 35-23=12, Resulting Numbers: [60, 12]
Generated Node #3: [60, 12] from Operation: 35-23=12
Current State: 72:[60, 12], Operations: ['79-19=60', '35-23=12']
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
6,
70,
85
] | 95 | [
"85-70=15",
"6*15=90",
"5+90=95"
] | Current State: 95:[5, 6, 70, 85], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [5, 6, 15]
Generated Node #2: [5, 6, 15] from Operation: 85-70=15
Current State: 95:[5, 6, 15], Operations: ['85-70=15']
Exploring Operation: 6*15=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 6*15=90
Current State: 95:[5, 90], Operations: ['85-70=15', '6*15=90']
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
41,
52,
16,
49
] | 89 | [
"52-49=3",
"16*3=48",
"41+48=89"
] | Current State: 89:[41, 52, 16, 49], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [41, 16, 3]
Generated Node #2: [41, 16, 3] from Operation: 52-49=3
Current State: 89:[41, 16, 3], Operations: ['52-49=3']
Exploring Operation: 16*3=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 16*3=48
Current State: 89:[41, 48], Operations: ['52-49=3', '16*3=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
7,
13,
11,
6
] | 18 | [
"7*6=42",
"13+11=24",
"42-24=18"
] | Current State: 18:[7, 13, 11, 6], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [13, 11, 42]
Generated Node #2: [13, 11, 42] from Operation: 7*6=42
Current State: 18:[13, 11, 42], Operations: ['7*6=42']
Exploring Operation: 13+11=24, Resulting Numbers: [42, 24]
Generated Node #3: [42, 24] from Operation: 13+11=24
Current State: 18:[42, 24], Operations: ['7*6=42', '13+11=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
16,
53,
65
] | 61 | [
"73-16=57",
"53+65=118",
"118-57=61"
] | Current State: 61:[73, 16, 53, 65], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [53, 65, 57]
Generated Node #2: [53, 65, 57] from Operation: 73-16=57
Current State: 61:[53, 65, 57], Operations: ['73-16=57']
Exploring Operation: 53+65=118, Resulting Numbers: [57, 118]
Generated Node #3: [57, 118] from Operation: 53+65=118
Current State: 61:[57, 118], Operations: ['73-16=57', '53+65=118']
Exploring Operation: 118-57=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
90,
64,
16,
13
] | 29 | [
"90-64=26",
"16-13=3",
"26+3=29"
] | Current State: 29:[90, 64, 16, 13], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [16, 13, 26]
Generated Node #2: [16, 13, 26] from Operation: 90-64=26
Current State: 29:[16, 13, 26], Operations: ['90-64=26']
Exploring Operation: 16-13=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 16-13=3
Current State: 29:[26, 3], Operations: ['90-64=26', '16-13=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
35,
12,
82,
69
] | 67 | [
"82-12=70",
"70/35=2",
"69-2=67"
] | Current State: 67:[35, 12, 82, 69], Operations: []
Exploring Operation: 82-12=70, Resulting Numbers: [35, 69, 70]
Generated Node #2: [35, 69, 70] from Operation: 82-12=70
Current State: 67:[35, 69, 70], Operations: ['82-12=70']
Exploring Operation: 70/35=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 70/35=2
Current State: 67:[69, 2], Operations: ['82-12=70', '70/35=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
7,
78,
62
] | 75 | [
"66-7=59",
"78-62=16",
"59+16=75"
] | Current State: 75:[66, 7, 78, 62], Operations: []
Exploring Operation: 66-7=59, Resulting Numbers: [78, 62, 59]
Generated Node #2: [78, 62, 59] from Operation: 66-7=59
Current State: 75:[78, 62, 59], Operations: ['66-7=59']
Exploring Operation: 78-62=16, Resulting Numbers: [59, 16]
Generated Node #3: [59, 16] from Operation: 78-62=16
Current State: 75:[59, 16], Operations: ['66-7=59', '78-62=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
79,
47,
16
] | 71 | [
"55+79=134",
"47+16=63",
"134-63=71"
] | Current State: 71:[55, 79, 47, 16], Operations: []
Exploring Operation: 55+79=134, Resulting Numbers: [47, 16, 134]
Generated Node #2: [47, 16, 134] from Operation: 55+79=134
Current State: 71:[47, 16, 134], Operations: ['55+79=134']
Exploring Operation: 47+16=63, Resulting Numbers: [134, 63]
Generated Node #3: [134, 63] from Operation: 47+16=63
Current State: 71:[134, 63], Operations: ['55+79=134', '47+16=63']
Exploring Operation: 134-63=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
20,
19,
47,
86
] | 13 | [
"47+86=133",
"133/19=7",
"20-7=13"
] | Current State: 13:[20, 19, 47, 86], Operations: []
Exploring Operation: 47+86=133, Resulting Numbers: [20, 19, 133]
Generated Node #2: [20, 19, 133] from Operation: 47+86=133
Current State: 13:[20, 19, 133], Operations: ['47+86=133']
Exploring Operation: 133/19=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 133/19=7
Current State: 13:[20, 7], Operations: ['47+86=133', '133/19=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
26,
87,
67,
79
] | 85 | [
"87-26=61",
"67+79=146",
"146-61=85"
] | Current State: 85:[26, 87, 67, 79], Operations: []
Exploring Operation: 87-26=61, Resulting Numbers: [67, 79, 61]
Generated Node #2: [67, 79, 61] from Operation: 87-26=61
Current State: 85:[67, 79, 61], Operations: ['87-26=61']
Exploring Operation: 67+79=146, Resulting Numbers: [61, 146]
Generated Node #3: [61, 146] from Operation: 67+79=146
Current State: 85:[61, 146], Operations: ['87-26=61', '67+79=146']
Exploring Operation: 146-61=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
65,
25,
10
] | 88 | [
"65-25=40",
"22*40=880",
"880/10=88"
] | Current State: 88:[22, 65, 25, 10], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [22, 10, 40]
Generated Node #2: [22, 10, 40] from Operation: 65-25=40
Current State: 88:[22, 10, 40], Operations: ['65-25=40']
Exploring Operation: 22*40=880, Resulting Numbers: [10, 880]
Generated Node #3: [10, 880] from Operation: 22*40=880
Current State: 88:[10, 880], Operations: ['65-25=40', '22*40=880']
Exploring Operation: 880/10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
96,
46,
62,
57
] | 51 | [
"62-46=16",
"96/16=6",
"57-6=51"
] | Current State: 51:[96, 46, 62, 57], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [96, 57, 16]
Generated Node #2: [96, 57, 16] from Operation: 62-46=16
Current State: 51:[96, 57, 16], Operations: ['62-46=16']
Exploring Operation: 96/16=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 96/16=6
Current State: 51:[57, 6], Operations: ['62-46=16', '96/16=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
18,
77,
67,
7
] | 84 | [
"67-18=49",
"49/7=7",
"77+7=84"
] | Current State: 84:[18, 77, 67, 7], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [77, 7, 49]
Generated Node #2: [77, 7, 49] from Operation: 67-18=49
Current State: 84:[77, 7, 49], Operations: ['67-18=49']
Exploring Operation: 49/7=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 49/7=7
Current State: 84:[77, 7], Operations: ['67-18=49', '49/7=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
82,
41,
70,
26
] | 46 | [
"82/41=2",
"70-26=44",
"2+44=46"
] | Current State: 46:[82, 41, 70, 26], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [70, 26, 2]
Generated Node #2: [70, 26, 2] from Operation: 82/41=2
Current State: 46:[70, 26, 2], Operations: ['82/41=2']
Exploring Operation: 70-26=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 70-26=44
Current State: 46:[2, 44], Operations: ['82/41=2', '70-26=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
62,
80,
75,
90
] | 33 | [
"80-62=18",
"90-75=15",
"18+15=33"
] | Current State: 33:[62, 80, 75, 90], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [75, 90, 18]
Generated Node #2: [75, 90, 18] from Operation: 80-62=18
Current State: 33:[75, 90, 18], Operations: ['80-62=18']
Exploring Operation: 90-75=15, Resulting Numbers: [18, 15]
Generated Node #3: [18, 15] from Operation: 90-75=15
Current State: 33:[18, 15], Operations: ['80-62=18', '90-75=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
14,
51,
51
] | 23 | [
"51-49=2",
"14*2=28",
"51-28=23"
] | Current State: 23:[49, 14, 51, 51], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [14, 2]
Generated Node #2: [14, 2] from Operation: 51-49=2
Current State: 23:[14, 2], Operations: ['51-49=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,23 equal: Goal Reached
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
21,
43,
73,
2
] | 55 | [
"21+43=64",
"2*64=128",
"128-73=55"
] | Current State: 55:[21, 43, 73, 2], Operations: []
Exploring Operation: 21+43=64, Resulting Numbers: [73, 2, 64]
Generated Node #2: [73, 2, 64] from Operation: 21+43=64
Current State: 55:[73, 2, 64], Operations: ['21+43=64']
Exploring Operation: 2*64=128, Resulting Numbers: [73, 128]
Generated Node #3: [73, 128] from Operation: 2*64=128
Current State: 55:[73, 128], Operations: ['21+43=64', '2*64=128']
Exploring Operation: 128-73=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
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