nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
38,
72,
30,
90
] | 85 | [
"38+30=68",
"90*68=6120",
"6120/72=85"
] | Current State: 85:[38, 72, 30, 90], Operations: []
Exploring Operation: 38+30=68, Resulting Numbers: [72, 90, 68]
Generated Node #2: [72, 90, 68] from Operation: 38+30=68
Current State: 85:[72, 90, 68], Operations: ['38+30=68']
Exploring Operation: 90*68=6120, Resulting Numbers: [72, 6120]
Generated Node #3: [72, 6120] from Operation: 90*68=6120
Current State: 85:[72, 6120], Operations: ['38+30=68', '90*68=6120']
Exploring Operation: 6120/72=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
17,
95,
57,
26
] | 29 | [
"17+95=112",
"57+26=83",
"112-83=29"
] | Current State: 29:[17, 95, 57, 26], Operations: []
Exploring Operation: 17+95=112, Resulting Numbers: [57, 26, 112]
Generated Node #2: [57, 26, 112] from Operation: 17+95=112
Current State: 29:[57, 26, 112], Operations: ['17+95=112']
Exploring Operation: 57+26=83, Resulting Numbers: [112, 83]
Generated Node #3: [112, 83] from Operation: 57+26=83
Current State: 29:[112, 83], Operations: ['17+95=112', '57+26=83']
Exploring Operation: 112-83=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
26,
45,
50,
97
] | 100 | [
"97-45=52",
"52/26=2",
"50*2=100"
] | Current State: 100:[26, 45, 50, 97], Operations: []
Exploring Operation: 97-45=52, Resulting Numbers: [26, 50, 52]
Generated Node #2: [26, 50, 52] from Operation: 97-45=52
Current State: 100:[26, 50, 52], Operations: ['97-45=52']
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 52/26=2
Current State: 100:[50, 2], Operations: ['97-45=52', '52/26=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
38,
20,
18
] | 13 | [
"20-18=2",
"50/2=25",
"38-25=13"
] | Current State: 13:[50, 38, 20, 18], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [50, 38, 2]
Generated Node #2: [50, 38, 2] from Operation: 20-18=2
Current State: 13:[50, 38, 2], Operations: ['20-18=2']
Exploring Operation: 50/2=25, Resulting Numbers: [38, 25]
Generated Node #3: [38, 25] from Operation: 50/2=25
Current State: 13:[38, 25], Operations: ['20-18=2', '50/2=25']
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
29,
41,
97,
93
] | 66 | [
"29+41=70",
"97-93=4",
"70-4=66"
] | Current State: 66:[29, 41, 97, 93], Operations: []
Exploring Operation: 29+41=70, Resulting Numbers: [97, 93, 70]
Generated Node #2: [97, 93, 70] from Operation: 29+41=70
Current State: 66:[97, 93, 70], Operations: ['29+41=70']
Exploring Operation: 97-93=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 97-93=4
Current State: 66:[70, 4], Operations: ['29+41=70', '97-93=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
53,
31,
69,
38
] | 54 | [
"69-31=38",
"38/38=1",
"53+1=54"
] | Current State: 54:[53, 31, 69, 38], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [53, 38, 38]
Generated Node #2: [53, 38, 38] from Operation: 69-31=38
Current State: 54:[53, 38, 38], Operations: ['69-31=38']
Exploring Operation: 38/38=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 38/38=1
Current State: 54:[53, 1], Operations: ['69-31=38', '38/38=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
96,
79,
53,
48
] | 85 | [
"96-79=17",
"53-48=5",
"17*5=85"
] | Current State: 85:[96, 79, 53, 48], Operations: []
Exploring Operation: 96-79=17, Resulting Numbers: [53, 48, 17]
Generated Node #2: [53, 48, 17] from Operation: 96-79=17
Current State: 85:[53, 48, 17], Operations: ['96-79=17']
Exploring Operation: 53-48=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 53-48=5
Current State: 85:[17, 5], Operations: ['96-79=17', '53-48=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
1,
25,
17,
32
] | 23 | [
"1+25=26",
"17+32=49",
"49-26=23"
] | Current State: 23:[1, 25, 17, 32], Operations: []
Exploring Operation: 1+25=26, Resulting Numbers: [17, 32, 26]
Generated Node #2: [17, 32, 26] from Operation: 1+25=26
Current State: 23:[17, 32, 26], Operations: ['1+25=26']
Exploring Operation: 17+32=49, Resulting Numbers: [26, 49]
Generated Node #3: [26, 49] from Operation: 17+32=49
Current State: 23:[26, 49], Operations: ['1+25=26', '17+32=49']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
87,
96,
85
] | 97 | [
"87-2=85",
"85/85=1",
"96+1=97"
] | Current State: 97:[2, 87, 96, 85], Operations: []
Exploring Operation: 87-2=85, Resulting Numbers: [96, 85, 85]
Generated Node #2: [96, 85, 85] from Operation: 87-2=85
Current State: 97:[96, 85, 85], Operations: ['87-2=85']
Exploring Operation: 85/85=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 85/85=1
Current State: 97:[96, 1], Operations: ['87-2=85', '85/85=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
9,
7,
9,
4
] | 34 | [
"9-7=2",
"9*4=36",
"36-2=34"
] | Current State: 34:[9, 7, 9, 4], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [4, 2]
Generated Node #2: [4, 2] from Operation: 9-7=2
Current State: 34:[4, 2], Operations: ['9-7=2']
Exploring Operation: 9*4=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 9*4=36
Current State: 34:[2, 36], Operations: ['9-7=2', '9*4=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
28,
86,
40,
42
] | 71 | [
"42-40=2",
"86/2=43",
"28+43=71"
] | Current State: 71:[28, 86, 40, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [28, 86, 2]
Generated Node #2: [28, 86, 2] from Operation: 42-40=2
Current State: 71:[28, 86, 2], Operations: ['42-40=2']
Exploring Operation: 86/2=43, Resulting Numbers: [28, 43]
Generated Node #3: [28, 43] from Operation: 86/2=43
Current State: 71:[28, 43], Operations: ['42-40=2', '86/2=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
98,
93,
57,
30
] | 63 | [
"98-93=5",
"30/5=6",
"57+6=63"
] | Current State: 63:[98, 93, 57, 30], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [57, 30, 5]
Generated Node #2: [57, 30, 5] from Operation: 98-93=5
Current State: 63:[57, 30, 5], Operations: ['98-93=5']
Exploring Operation: 30/5=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 30/5=6
Current State: 63:[57, 6], Operations: ['98-93=5', '30/5=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
81,
71,
47,
79
] | 12 | [
"81-79=2",
"71-47=24",
"24/2=12"
] | Current State: 12:[81, 71, 47, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [71, 47, 2]
Generated Node #2: [71, 47, 2] from Operation: 81-79=2
Current State: 12:[71, 47, 2], Operations: ['81-79=2']
Exploring Operation: 71-47=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 71-47=24
Current State: 12:[2, 24], Operations: ['81-79=2', '71-47=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
67,
60,
33,
62
] | 98 | [
"67+60=127",
"62-33=29",
"127-29=98"
] | Current State: 98:[67, 60, 33, 62], Operations: []
Exploring Operation: 67+60=127, Resulting Numbers: [33, 62, 127]
Generated Node #2: [33, 62, 127] from Operation: 67+60=127
Current State: 98:[33, 62, 127], Operations: ['67+60=127']
Exploring Operation: 62-33=29, Resulting Numbers: [127, 29]
Generated Node #3: [127, 29] from Operation: 62-33=29
Current State: 98:[127, 29], Operations: ['67+60=127', '62-33=29']
Exploring Operation: 127-29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
84,
91,
28,
8
] | 86 | [
"84/28=3",
"91-8=83",
"3+83=86"
] | Current State: 86:[84, 91, 28, 8], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [91, 8, 3]
Generated Node #2: [91, 8, 3] from Operation: 84/28=3
Current State: 86:[91, 8, 3], Operations: ['84/28=3']
Exploring Operation: 91-8=83, Resulting Numbers: [3, 83]
Generated Node #3: [3, 83] from Operation: 91-8=83
Current State: 86:[3, 83], Operations: ['84/28=3', '91-8=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
46,
73,
65,
4
] | 78 | [
"73-65=8",
"4*8=32",
"46+32=78"
] | Current State: 78:[46, 73, 65, 4], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [46, 4, 8]
Generated Node #2: [46, 4, 8] from Operation: 73-65=8
Current State: 78:[46, 4, 8], Operations: ['73-65=8']
Exploring Operation: 4*8=32, Resulting Numbers: [46, 32]
Generated Node #3: [46, 32] from Operation: 4*8=32
Current State: 78:[46, 32], Operations: ['73-65=8', '4*8=32']
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
74,
70,
22
] | 70 | [
"74-70=4",
"12*4=48",
"22+48=70"
] | Current State: 70:[12, 74, 70, 22], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [12, 22, 4]
Generated Node #2: [12, 22, 4] from Operation: 74-70=4
Current State: 70:[12, 22, 4], Operations: ['74-70=4']
Exploring Operation: 12*4=48, Resulting Numbers: [22, 48]
Generated Node #3: [22, 48] from Operation: 12*4=48
Current State: 70:[22, 48], Operations: ['74-70=4', '12*4=48']
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
64,
84,
55,
48
] | 68 | [
"64+55=119",
"48*119=5712",
"5712/84=68"
] | Current State: 68:[64, 84, 55, 48], Operations: []
Exploring Operation: 64+55=119, Resulting Numbers: [84, 48, 119]
Generated Node #2: [84, 48, 119] from Operation: 64+55=119
Current State: 68:[84, 48, 119], Operations: ['64+55=119']
Exploring Operation: 48*119=5712, Resulting Numbers: [84, 5712]
Generated Node #3: [84, 5712] from Operation: 48*119=5712
Current State: 68:[84, 5712], Operations: ['64+55=119', '48*119=5712']
Exploring Operation: 5712/84=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
35,
25,
24,
29
] | 32 | [
"29-24=5",
"35/5=7",
"25+7=32"
] | Current State: 32:[35, 25, 24, 29], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [35, 25, 5]
Generated Node #2: [35, 25, 5] from Operation: 29-24=5
Current State: 32:[35, 25, 5], Operations: ['29-24=5']
Exploring Operation: 35/5=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 35/5=7
Current State: 32:[25, 7], Operations: ['29-24=5', '35/5=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
77,
41,
2,
21
] | 92 | [
"77*2=154",
"41+21=62",
"154-62=92"
] | Current State: 92:[77, 41, 2, 21], Operations: []
Exploring Operation: 77*2=154, Resulting Numbers: [41, 21, 154]
Generated Node #2: [41, 21, 154] from Operation: 77*2=154
Current State: 92:[41, 21, 154], Operations: ['77*2=154']
Exploring Operation: 41+21=62, Resulting Numbers: [154, 62]
Generated Node #3: [154, 62] from Operation: 41+21=62
Current State: 92:[154, 62], Operations: ['77*2=154', '41+21=62']
Exploring Operation: 154-62=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
23,
35,
46
] | 78 | [
"46-35=11",
"5*11=55",
"23+55=78"
] | Current State: 78:[5, 23, 35, 46], Operations: []
Exploring Operation: 46-35=11, Resulting Numbers: [5, 23, 11]
Generated Node #2: [5, 23, 11] from Operation: 46-35=11
Current State: 78:[5, 23, 11], Operations: ['46-35=11']
Exploring Operation: 5*11=55, Resulting Numbers: [23, 55]
Generated Node #3: [23, 55] from Operation: 5*11=55
Current State: 78:[23, 55], Operations: ['46-35=11', '5*11=55']
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
57,
54,
17,
85
] | 15 | [
"57-54=3",
"85/17=5",
"3*5=15"
] | Current State: 15:[57, 54, 17, 85], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [17, 85, 3]
Generated Node #2: [17, 85, 3] from Operation: 57-54=3
Current State: 15:[17, 85, 3], Operations: ['57-54=3']
Exploring Operation: 85/17=5, Resulting Numbers: [3, 5]
Generated Node #3: [3, 5] from Operation: 85/17=5
Current State: 15:[3, 5], Operations: ['57-54=3', '85/17=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
98,
14,
1,
11
] | 96 | [
"98-14=84",
"1+11=12",
"84+12=96"
] | Current State: 96:[98, 14, 1, 11], Operations: []
Exploring Operation: 98-14=84, Resulting Numbers: [1, 11, 84]
Generated Node #2: [1, 11, 84] from Operation: 98-14=84
Current State: 96:[1, 11, 84], Operations: ['98-14=84']
Exploring Operation: 1+11=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 1+11=12
Current State: 96:[84, 12], Operations: ['98-14=84', '1+11=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
31,
65,
63,
80
] | 26 | [
"63-31=32",
"65*32=2080",
"2080/80=26"
] | Current State: 26:[31, 65, 63, 80], Operations: []
Exploring Operation: 63-31=32, Resulting Numbers: [65, 80, 32]
Generated Node #2: [65, 80, 32] from Operation: 63-31=32
Current State: 26:[65, 80, 32], Operations: ['63-31=32']
Exploring Operation: 65*32=2080, Resulting Numbers: [80, 2080]
Generated Node #3: [80, 2080] from Operation: 65*32=2080
Current State: 26:[80, 2080], Operations: ['63-31=32', '65*32=2080']
Exploring Operation: 2080/80=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
2,
52,
15,
15
] | 59 | [
"52-15=37",
"2*37=74",
"74-15=59"
] | Current State: 59:[2, 52, 15, 15], Operations: []
Exploring Operation: 52-15=37, Resulting Numbers: [2, 37]
Generated Node #2: [2, 37] from Operation: 52-15=37
Current State: 59:[2, 37], Operations: ['52-15=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,59 equal: Goal Reached
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
16,
8,
80,
87
] | 16 | [
"8+80=88",
"88-87=1",
"16*1=16"
] | Current State: 16:[16, 8, 80, 87], Operations: []
Exploring Operation: 8+80=88, Resulting Numbers: [16, 87, 88]
Generated Node #2: [16, 87, 88] from Operation: 8+80=88
Current State: 16:[16, 87, 88], Operations: ['8+80=88']
Exploring Operation: 88-87=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 88-87=1
Current State: 16:[16, 1], Operations: ['8+80=88', '88-87=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
98,
70,
56,
63
] | 23 | [
"70*56=3920",
"3920/98=40",
"63-40=23"
] | Current State: 23:[98, 70, 56, 63], Operations: []
Exploring Operation: 70*56=3920, Resulting Numbers: [98, 63, 3920]
Generated Node #2: [98, 63, 3920] from Operation: 70*56=3920
Current State: 23:[98, 63, 3920], Operations: ['70*56=3920']
Exploring Operation: 3920/98=40, Resulting Numbers: [63, 40]
Generated Node #3: [63, 40] from Operation: 3920/98=40
Current State: 23:[63, 40], Operations: ['70*56=3920', '3920/98=40']
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
23,
71,
96,
47
] | 49 | [
"23+71=94",
"96+47=143",
"143-94=49"
] | Current State: 49:[23, 71, 96, 47], Operations: []
Exploring Operation: 23+71=94, Resulting Numbers: [96, 47, 94]
Generated Node #2: [96, 47, 94] from Operation: 23+71=94
Current State: 49:[96, 47, 94], Operations: ['23+71=94']
Exploring Operation: 96+47=143, Resulting Numbers: [94, 143]
Generated Node #3: [94, 143] from Operation: 96+47=143
Current State: 49:[94, 143], Operations: ['23+71=94', '96+47=143']
Exploring Operation: 143-94=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
95,
4,
87
] | 100 | [
"17+95=112",
"112-87=25",
"4*25=100"
] | Current State: 100:[17, 95, 4, 87], Operations: []
Exploring Operation: 17+95=112, Resulting Numbers: [4, 87, 112]
Generated Node #2: [4, 87, 112] from Operation: 17+95=112
Current State: 100:[4, 87, 112], Operations: ['17+95=112']
Exploring Operation: 112-87=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 112-87=25
Current State: 100:[4, 25], Operations: ['17+95=112', '112-87=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
40,
48,
72
] | 44 | [
"84-72=12",
"48/12=4",
"40+4=44"
] | Current State: 44:[84, 40, 48, 72], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [40, 48, 12]
Generated Node #2: [40, 48, 12] from Operation: 84-72=12
Current State: 44:[40, 48, 12], Operations: ['84-72=12']
Exploring Operation: 48/12=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 48/12=4
Current State: 44:[40, 4], Operations: ['84-72=12', '48/12=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
88,
19,
49
] | 80 | [
"88-76=12",
"19+49=68",
"12+68=80"
] | Current State: 80:[76, 88, 19, 49], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [19, 49, 12]
Generated Node #2: [19, 49, 12] from Operation: 88-76=12
Current State: 80:[19, 49, 12], Operations: ['88-76=12']
Exploring Operation: 19+49=68, Resulting Numbers: [12, 68]
Generated Node #3: [12, 68] from Operation: 19+49=68
Current State: 80:[12, 68], Operations: ['88-76=12', '19+49=68']
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
8,
54,
76,
92
] | 84 | [
"76-54=22",
"8*22=176",
"176-92=84"
] | Current State: 84:[8, 54, 76, 92], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [8, 92, 22]
Generated Node #2: [8, 92, 22] from Operation: 76-54=22
Current State: 84:[8, 92, 22], Operations: ['76-54=22']
Exploring Operation: 8*22=176, Resulting Numbers: [92, 176]
Generated Node #3: [92, 176] from Operation: 8*22=176
Current State: 84:[92, 176], Operations: ['76-54=22', '8*22=176']
Exploring Operation: 176-92=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
46,
47,
2,
26
] | 69 | [
"46+47=93",
"26-2=24",
"93-24=69"
] | Current State: 69:[46, 47, 2, 26], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [2, 26, 93]
Generated Node #2: [2, 26, 93] from Operation: 46+47=93
Current State: 69:[2, 26, 93], Operations: ['46+47=93']
Exploring Operation: 26-2=24, Resulting Numbers: [93, 24]
Generated Node #3: [93, 24] from Operation: 26-2=24
Current State: 69:[93, 24], Operations: ['46+47=93', '26-2=24']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
32,
6,
59
] | 40 | [
"32-7=25",
"6+59=65",
"65-25=40"
] | Current State: 40:[7, 32, 6, 59], Operations: []
Exploring Operation: 32-7=25, Resulting Numbers: [6, 59, 25]
Generated Node #2: [6, 59, 25] from Operation: 32-7=25
Current State: 40:[6, 59, 25], Operations: ['32-7=25']
Exploring Operation: 6+59=65, Resulting Numbers: [25, 65]
Generated Node #3: [25, 65] from Operation: 6+59=65
Current State: 40:[25, 65], Operations: ['32-7=25', '6+59=65']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
73,
82,
82,
38
] | 73 | [
"82-82=0",
"38*0=0",
"73+0=73"
] | Current State: 73:[73, 82, 82, 38], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [73, 38, 0]
Generated Node #2: [73, 38, 0] from Operation: 82-82=0
Current State: 73:[73, 38, 0], Operations: ['82-82=0']
Exploring Operation: 38*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 38*0=0
Current State: 73:[73, 0], Operations: ['82-82=0', '38*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
46,
71,
92,
41
] | 60 | [
"92/46=2",
"71-41=30",
"2*30=60"
] | Current State: 60:[46, 71, 92, 41], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [71, 41, 2]
Generated Node #2: [71, 41, 2] from Operation: 92/46=2
Current State: 60:[71, 41, 2], Operations: ['92/46=2']
Exploring Operation: 71-41=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 71-41=30
Current State: 60:[2, 30], Operations: ['92/46=2', '71-41=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
85,
64,
40,
56
] | 55 | [
"85*56=4760",
"4760/40=119",
"119-64=55"
] | Current State: 55:[85, 64, 40, 56], Operations: []
Exploring Operation: 85*56=4760, Resulting Numbers: [64, 40, 4760]
Generated Node #2: [64, 40, 4760] from Operation: 85*56=4760
Current State: 55:[64, 40, 4760], Operations: ['85*56=4760']
Exploring Operation: 4760/40=119, Resulting Numbers: [64, 119]
Generated Node #3: [64, 119] from Operation: 4760/40=119
Current State: 55:[64, 119], Operations: ['85*56=4760', '4760/40=119']
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
18,
10,
11,
37
] | 54 | [
"18+10=28",
"37-11=26",
"28+26=54"
] | Current State: 54:[18, 10, 11, 37], Operations: []
Exploring Operation: 18+10=28, Resulting Numbers: [11, 37, 28]
Generated Node #2: [11, 37, 28] from Operation: 18+10=28
Current State: 54:[11, 37, 28], Operations: ['18+10=28']
Exploring Operation: 37-11=26, Resulting Numbers: [28, 26]
Generated Node #3: [28, 26] from Operation: 37-11=26
Current State: 54:[28, 26], Operations: ['18+10=28', '37-11=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
36,
63,
49,
54
] | 47 | [
"63-36=27",
"54/27=2",
"49-2=47"
] | Current State: 47:[36, 63, 49, 54], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [49, 54, 27]
Generated Node #2: [49, 54, 27] from Operation: 63-36=27
Current State: 47:[49, 54, 27], Operations: ['63-36=27']
Exploring Operation: 54/27=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 54/27=2
Current State: 47:[49, 2], Operations: ['63-36=27', '54/27=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
71,
28,
18,
30
] | 51 | [
"71+28=99",
"18+30=48",
"99-48=51"
] | Current State: 51:[71, 28, 18, 30], Operations: []
Exploring Operation: 71+28=99, Resulting Numbers: [18, 30, 99]
Generated Node #2: [18, 30, 99] from Operation: 71+28=99
Current State: 51:[18, 30, 99], Operations: ['71+28=99']
Exploring Operation: 18+30=48, Resulting Numbers: [99, 48]
Generated Node #3: [99, 48] from Operation: 18+30=48
Current State: 51:[99, 48], Operations: ['71+28=99', '18+30=48']
Exploring Operation: 99-48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
83,
6,
44,
4
] | 49 | [
"83+6=89",
"44-4=40",
"89-40=49"
] | Current State: 49:[83, 6, 44, 4], Operations: []
Exploring Operation: 83+6=89, Resulting Numbers: [44, 4, 89]
Generated Node #2: [44, 4, 89] from Operation: 83+6=89
Current State: 49:[44, 4, 89], Operations: ['83+6=89']
Exploring Operation: 44-4=40, Resulting Numbers: [89, 40]
Generated Node #3: [89, 40] from Operation: 44-4=40
Current State: 49:[89, 40], Operations: ['83+6=89', '44-4=40']
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
98,
50,
6,
16
] | 52 | [
"98+50=148",
"6*16=96",
"148-96=52"
] | Current State: 52:[98, 50, 6, 16], Operations: []
Exploring Operation: 98+50=148, Resulting Numbers: [6, 16, 148]
Generated Node #2: [6, 16, 148] from Operation: 98+50=148
Current State: 52:[6, 16, 148], Operations: ['98+50=148']
Exploring Operation: 6*16=96, Resulting Numbers: [148, 96]
Generated Node #3: [148, 96] from Operation: 6*16=96
Current State: 52:[148, 96], Operations: ['98+50=148', '6*16=96']
Exploring Operation: 148-96=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
58,
35,
78,
84
] | 87 | [
"58+35=93",
"84-78=6",
"93-6=87"
] | Current State: 87:[58, 35, 78, 84], Operations: []
Exploring Operation: 58+35=93, Resulting Numbers: [78, 84, 93]
Generated Node #2: [78, 84, 93] from Operation: 58+35=93
Current State: 87:[78, 84, 93], Operations: ['58+35=93']
Exploring Operation: 84-78=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 84-78=6
Current State: 87:[93, 6], Operations: ['58+35=93', '84-78=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
36,
21,
48,
25
] | 100 | [
"36+48=84",
"84/21=4",
"25*4=100"
] | Current State: 100:[36, 21, 48, 25], Operations: []
Exploring Operation: 36+48=84, Resulting Numbers: [21, 25, 84]
Generated Node #2: [21, 25, 84] from Operation: 36+48=84
Current State: 100:[21, 25, 84], Operations: ['36+48=84']
Exploring Operation: 84/21=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 84/21=4
Current State: 100:[25, 4], Operations: ['36+48=84', '84/21=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
44,
8,
65,
48
] | 92 | [
"65-48=17",
"8*17=136",
"136-44=92"
] | Current State: 92:[44, 8, 65, 48], Operations: []
Exploring Operation: 65-48=17, Resulting Numbers: [44, 8, 17]
Generated Node #2: [44, 8, 17] from Operation: 65-48=17
Current State: 92:[44, 8, 17], Operations: ['65-48=17']
Exploring Operation: 8*17=136, Resulting Numbers: [44, 136]
Generated Node #3: [44, 136] from Operation: 8*17=136
Current State: 92:[44, 136], Operations: ['65-48=17', '8*17=136']
Exploring Operation: 136-44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
38,
28,
95,
97
] | 48 | [
"97-95=2",
"38*2=76",
"76-28=48"
] | Current State: 48:[38, 28, 95, 97], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [38, 28, 2]
Generated Node #2: [38, 28, 2] from Operation: 97-95=2
Current State: 48:[38, 28, 2], Operations: ['97-95=2']
Exploring Operation: 38*2=76, Resulting Numbers: [28, 76]
Generated Node #3: [28, 76] from Operation: 38*2=76
Current State: 48:[28, 76], Operations: ['97-95=2', '38*2=76']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
20,
62,
11,
15
] | 68 | [
"62-20=42",
"11+15=26",
"42+26=68"
] | Current State: 68:[20, 62, 11, 15], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [11, 15, 42]
Generated Node #2: [11, 15, 42] from Operation: 62-20=42
Current State: 68:[11, 15, 42], Operations: ['62-20=42']
Exploring Operation: 11+15=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 11+15=26
Current State: 68:[42, 26], Operations: ['62-20=42', '11+15=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
8,
56,
99
] | 18 | [
"56-11=45",
"99+45=144",
"144/8=18"
] | Current State: 18:[11, 8, 56, 99], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [8, 99, 45]
Generated Node #2: [8, 99, 45] from Operation: 56-11=45
Current State: 18:[8, 99, 45], Operations: ['56-11=45']
Exploring Operation: 99+45=144, Resulting Numbers: [8, 144]
Generated Node #3: [8, 144] from Operation: 99+45=144
Current State: 18:[8, 144], Operations: ['56-11=45', '99+45=144']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
23,
26,
2,
40
] | 10 | [
"26+40=66",
"66/2=33",
"33-23=10"
] | Current State: 10:[23, 26, 2, 40], Operations: []
Exploring Operation: 26+40=66, Resulting Numbers: [23, 2, 66]
Generated Node #2: [23, 2, 66] from Operation: 26+40=66
Current State: 10:[23, 2, 66], Operations: ['26+40=66']
Exploring Operation: 66/2=33, Resulting Numbers: [23, 33]
Generated Node #3: [23, 33] from Operation: 66/2=33
Current State: 10:[23, 33], Operations: ['26+40=66', '66/2=33']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
4,
54,
78,
22
] | 59 | [
"54+22=76",
"76/4=19",
"78-19=59"
] | Current State: 59:[4, 54, 78, 22], Operations: []
Exploring Operation: 54+22=76, Resulting Numbers: [4, 78, 76]
Generated Node #2: [4, 78, 76] from Operation: 54+22=76
Current State: 59:[4, 78, 76], Operations: ['54+22=76']
Exploring Operation: 76/4=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 76/4=19
Current State: 59:[78, 19], Operations: ['54+22=76', '76/4=19']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
52,
54,
64,
57
] | 89 | [
"54-52=2",
"64/2=32",
"57+32=89"
] | Current State: 89:[52, 54, 64, 57], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [64, 57, 2]
Generated Node #2: [64, 57, 2] from Operation: 54-52=2
Current State: 89:[64, 57, 2], Operations: ['54-52=2']
Exploring Operation: 64/2=32, Resulting Numbers: [57, 32]
Generated Node #3: [57, 32] from Operation: 64/2=32
Current State: 89:[57, 32], Operations: ['54-52=2', '64/2=32']
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
34,
31,
58,
4
] | 53 | [
"31*58=1798",
"4+1798=1802",
"1802/34=53"
] | Current State: 53:[34, 31, 58, 4], Operations: []
Exploring Operation: 31*58=1798, Resulting Numbers: [34, 4, 1798]
Generated Node #2: [34, 4, 1798] from Operation: 31*58=1798
Current State: 53:[34, 4, 1798], Operations: ['31*58=1798']
Exploring Operation: 4+1798=1802, Resulting Numbers: [34, 1802]
Generated Node #3: [34, 1802] from Operation: 4+1798=1802
Current State: 53:[34, 1802], Operations: ['31*58=1798', '4+1798=1802']
Exploring Operation: 1802/34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
13,
24,
72,
48
] | 12 | [
"72-24=48",
"48/48=1",
"13-1=12"
] | Current State: 12:[13, 24, 72, 48], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [13, 48, 48]
Generated Node #2: [13, 48, 48] from Operation: 72-24=48
Current State: 12:[13, 48, 48], Operations: ['72-24=48']
Exploring Operation: 48/48=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 48/48=1
Current State: 12:[13, 1], Operations: ['72-24=48', '48/48=1']
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
21,
66,
40,
24
] | 89 | [
"66*40=2640",
"2640/24=110",
"110-21=89"
] | Current State: 89:[21, 66, 40, 24], Operations: []
Exploring Operation: 66*40=2640, Resulting Numbers: [21, 24, 2640]
Generated Node #2: [21, 24, 2640] from Operation: 66*40=2640
Current State: 89:[21, 24, 2640], Operations: ['66*40=2640']
Exploring Operation: 2640/24=110, Resulting Numbers: [21, 110]
Generated Node #3: [21, 110] from Operation: 2640/24=110
Current State: 89:[21, 110], Operations: ['66*40=2640', '2640/24=110']
Exploring Operation: 110-21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
41,
25,
31,
21
] | 23 | [
"41+21=62",
"62/31=2",
"25-2=23"
] | Current State: 23:[41, 25, 31, 21], Operations: []
Exploring Operation: 41+21=62, Resulting Numbers: [25, 31, 62]
Generated Node #2: [25, 31, 62] from Operation: 41+21=62
Current State: 23:[25, 31, 62], Operations: ['41+21=62']
Exploring Operation: 62/31=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 62/31=2
Current State: 23:[25, 2], Operations: ['41+21=62', '62/31=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
33,
77,
71,
40
] | 82 | [
"40-33=7",
"77/7=11",
"71+11=82"
] | Current State: 82:[33, 77, 71, 40], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [77, 71, 7]
Generated Node #2: [77, 71, 7] from Operation: 40-33=7
Current State: 82:[77, 71, 7], Operations: ['40-33=7']
Exploring Operation: 77/7=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 77/7=11
Current State: 82:[71, 11], Operations: ['40-33=7', '77/7=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
29,
18,
83
] | 25 | [
"75*18=1350",
"83-29=54",
"1350/54=25"
] | Current State: 25:[75, 29, 18, 83], Operations: []
Exploring Operation: 75*18=1350, Resulting Numbers: [29, 83, 1350]
Generated Node #2: [29, 83, 1350] from Operation: 75*18=1350
Current State: 25:[29, 83, 1350], Operations: ['75*18=1350']
Exploring Operation: 83-29=54, Resulting Numbers: [1350, 54]
Generated Node #3: [1350, 54] from Operation: 83-29=54
Current State: 25:[1350, 54], Operations: ['75*18=1350', '83-29=54']
Exploring Operation: 1350/54=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
36,
39,
16,
2
] | 22 | [
"39-36=3",
"2*3=6",
"16+6=22"
] | Current State: 22:[36, 39, 16, 2], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [16, 2, 3]
Generated Node #2: [16, 2, 3] from Operation: 39-36=3
Current State: 22:[16, 2, 3], Operations: ['39-36=3']
Exploring Operation: 2*3=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 2*3=6
Current State: 22:[16, 6], Operations: ['39-36=3', '2*3=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
7,
5,
75
] | 20 | [
"75-47=28",
"28/7=4",
"5*4=20"
] | Current State: 20:[47, 7, 5, 75], Operations: []
Exploring Operation: 75-47=28, Resulting Numbers: [7, 5, 28]
Generated Node #2: [7, 5, 28] from Operation: 75-47=28
Current State: 20:[7, 5, 28], Operations: ['75-47=28']
Exploring Operation: 28/7=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 28/7=4
Current State: 20:[5, 4], Operations: ['75-47=28', '28/7=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
62,
69,
71,
85
] | 68 | [
"85-62=23",
"69/23=3",
"71-3=68"
] | Current State: 68:[62, 69, 71, 85], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [69, 71, 23]
Generated Node #2: [69, 71, 23] from Operation: 85-62=23
Current State: 68:[69, 71, 23], Operations: ['85-62=23']
Exploring Operation: 69/23=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 69/23=3
Current State: 68:[71, 3], Operations: ['85-62=23', '69/23=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
69,
73,
87
] | 29 | [
"69-26=43",
"87-73=14",
"43-14=29"
] | Current State: 29:[26, 69, 73, 87], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [73, 87, 43]
Generated Node #2: [73, 87, 43] from Operation: 69-26=43
Current State: 29:[73, 87, 43], Operations: ['69-26=43']
Exploring Operation: 87-73=14, Resulting Numbers: [43, 14]
Generated Node #3: [43, 14] from Operation: 87-73=14
Current State: 29:[43, 14], Operations: ['69-26=43', '87-73=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
47,
51,
57
] | 56 | [
"3+47=50",
"57-51=6",
"50+6=56"
] | Current State: 56:[3, 47, 51, 57], Operations: []
Exploring Operation: 3+47=50, Resulting Numbers: [51, 57, 50]
Generated Node #2: [51, 57, 50] from Operation: 3+47=50
Current State: 56:[51, 57, 50], Operations: ['3+47=50']
Exploring Operation: 57-51=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 57-51=6
Current State: 56:[50, 6], Operations: ['3+47=50', '57-51=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
82,
80,
48,
16
] | 49 | [
"82*48=3936",
"3936-16=3920",
"3920/80=49"
] | Current State: 49:[82, 80, 48, 16], Operations: []
Exploring Operation: 82*48=3936, Resulting Numbers: [80, 16, 3936]
Generated Node #2: [80, 16, 3936] from Operation: 82*48=3936
Current State: 49:[80, 16, 3936], Operations: ['82*48=3936']
Exploring Operation: 3936-16=3920, Resulting Numbers: [80, 3920]
Generated Node #3: [80, 3920] from Operation: 3936-16=3920
Current State: 49:[80, 3920], Operations: ['82*48=3936', '3936-16=3920']
Exploring Operation: 3920/80=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
60,
53,
54
] | 18 | [
"48*60=2880",
"53*54=2862",
"2880-2862=18"
] | Current State: 18:[48, 60, 53, 54], Operations: []
Exploring Operation: 48*60=2880, Resulting Numbers: [53, 54, 2880]
Generated Node #2: [53, 54, 2880] from Operation: 48*60=2880
Current State: 18:[53, 54, 2880], Operations: ['48*60=2880']
Exploring Operation: 53*54=2862, Resulting Numbers: [2880, 2862]
Generated Node #3: [2880, 2862] from Operation: 53*54=2862
Current State: 18:[2880, 2862], Operations: ['48*60=2880', '53*54=2862']
Exploring Operation: 2880-2862=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
25,
13,
26,
60
] | 21 | [
"25-13=12",
"60/12=5",
"26-5=21"
] | Current State: 21:[25, 13, 26, 60], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [26, 60, 12]
Generated Node #2: [26, 60, 12] from Operation: 25-13=12
Current State: 21:[26, 60, 12], Operations: ['25-13=12']
Exploring Operation: 60/12=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 60/12=5
Current State: 21:[26, 5], Operations: ['25-13=12', '60/12=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
86,
39,
59,
99
] | 86 | [
"39+59=98",
"99-98=1",
"86*1=86"
] | Current State: 86:[86, 39, 59, 99], Operations: []
Exploring Operation: 39+59=98, Resulting Numbers: [86, 99, 98]
Generated Node #2: [86, 99, 98] from Operation: 39+59=98
Current State: 86:[86, 99, 98], Operations: ['39+59=98']
Exploring Operation: 99-98=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 99-98=1
Current State: 86:[86, 1], Operations: ['39+59=98', '99-98=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
50,
19,
41,
17
] | 18 | [
"50-41=9",
"19-17=2",
"9*2=18"
] | Current State: 18:[50, 19, 41, 17], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [19, 17, 9]
Generated Node #2: [19, 17, 9] from Operation: 50-41=9
Current State: 18:[19, 17, 9], Operations: ['50-41=9']
Exploring Operation: 19-17=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 19-17=2
Current State: 18:[9, 2], Operations: ['50-41=9', '19-17=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
17,
45,
51,
90
] | 48 | [
"51/17=3",
"90-45=45",
"3+45=48"
] | Current State: 48:[17, 45, 51, 90], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [45, 90, 3]
Generated Node #2: [45, 90, 3] from Operation: 51/17=3
Current State: 48:[45, 90, 3], Operations: ['51/17=3']
Exploring Operation: 90-45=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 90-45=45
Current State: 48:[3, 45], Operations: ['51/17=3', '90-45=45']
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
98,
37,
49,
73
] | 55 | [
"98/49=2",
"37+73=110",
"110/2=55"
] | Current State: 55:[98, 37, 49, 73], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [37, 73, 2]
Generated Node #2: [37, 73, 2] from Operation: 98/49=2
Current State: 55:[37, 73, 2], Operations: ['98/49=2']
Exploring Operation: 37+73=110, Resulting Numbers: [2, 110]
Generated Node #3: [2, 110] from Operation: 37+73=110
Current State: 55:[2, 110], Operations: ['98/49=2', '37+73=110']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
28,
42,
21,
51
] | 68 | [
"28*51=1428",
"42-21=21",
"1428/21=68"
] | Current State: 68:[28, 42, 21, 51], Operations: []
Exploring Operation: 28*51=1428, Resulting Numbers: [42, 21, 1428]
Generated Node #2: [42, 21, 1428] from Operation: 28*51=1428
Current State: 68:[42, 21, 1428], Operations: ['28*51=1428']
Exploring Operation: 42-21=21, Resulting Numbers: [1428, 21]
Generated Node #3: [1428, 21] from Operation: 42-21=21
Current State: 68:[1428, 21], Operations: ['28*51=1428', '42-21=21']
Exploring Operation: 1428/21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
31,
33,
92
] | 29 | [
"32+92=124",
"124/31=4",
"33-4=29"
] | Current State: 29:[32, 31, 33, 92], Operations: []
Exploring Operation: 32+92=124, Resulting Numbers: [31, 33, 124]
Generated Node #2: [31, 33, 124] from Operation: 32+92=124
Current State: 29:[31, 33, 124], Operations: ['32+92=124']
Exploring Operation: 124/31=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 124/31=4
Current State: 29:[33, 4], Operations: ['32+92=124', '124/31=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
92,
80,
4,
17
] | 25 | [
"92-80=12",
"17-4=13",
"12+13=25"
] | Current State: 25:[92, 80, 4, 17], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [4, 17, 12]
Generated Node #2: [4, 17, 12] from Operation: 92-80=12
Current State: 25:[4, 17, 12], Operations: ['92-80=12']
Exploring Operation: 17-4=13, Resulting Numbers: [12, 13]
Generated Node #3: [12, 13] from Operation: 17-4=13
Current State: 25:[12, 13], Operations: ['92-80=12', '17-4=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
84,
46,
77
] | 49 | [
"84-10=74",
"46+77=123",
"123-74=49"
] | Current State: 49:[10, 84, 46, 77], Operations: []
Exploring Operation: 84-10=74, Resulting Numbers: [46, 77, 74]
Generated Node #2: [46, 77, 74] from Operation: 84-10=74
Current State: 49:[46, 77, 74], Operations: ['84-10=74']
Exploring Operation: 46+77=123, Resulting Numbers: [74, 123]
Generated Node #3: [74, 123] from Operation: 46+77=123
Current State: 49:[74, 123], Operations: ['84-10=74', '46+77=123']
Exploring Operation: 123-74=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
92,
52,
4
] | 51 | [
"96-92=4",
"4/4=1",
"52-1=51"
] | Current State: 51:[96, 92, 52, 4], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [52, 4, 4]
Generated Node #2: [52, 4, 4] from Operation: 96-92=4
Current State: 51:[52, 4, 4], Operations: ['96-92=4']
Exploring Operation: 4/4=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 4/4=1
Current State: 51:[52, 1], Operations: ['96-92=4', '4/4=1']
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
85,
66,
88,
4
] | 91 | [
"85+88=173",
"66*4=264",
"264-173=91"
] | Current State: 91:[85, 66, 88, 4], Operations: []
Exploring Operation: 85+88=173, Resulting Numbers: [66, 4, 173]
Generated Node #2: [66, 4, 173] from Operation: 85+88=173
Current State: 91:[66, 4, 173], Operations: ['85+88=173']
Exploring Operation: 66*4=264, Resulting Numbers: [173, 264]
Generated Node #3: [173, 264] from Operation: 66*4=264
Current State: 91:[173, 264], Operations: ['85+88=173', '66*4=264']
Exploring Operation: 264-173=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
71,
41,
59,
89
] | 36 | [
"71+41=112",
"59+89=148",
"148-112=36"
] | Current State: 36:[71, 41, 59, 89], Operations: []
Exploring Operation: 71+41=112, Resulting Numbers: [59, 89, 112]
Generated Node #2: [59, 89, 112] from Operation: 71+41=112
Current State: 36:[59, 89, 112], Operations: ['71+41=112']
Exploring Operation: 59+89=148, Resulting Numbers: [112, 148]
Generated Node #3: [112, 148] from Operation: 59+89=148
Current State: 36:[112, 148], Operations: ['71+41=112', '59+89=148']
Exploring Operation: 148-112=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
93,
99,
66
] | 56 | [
"16+93=109",
"99+66=165",
"165-109=56"
] | Current State: 56:[16, 93, 99, 66], Operations: []
Exploring Operation: 16+93=109, Resulting Numbers: [99, 66, 109]
Generated Node #2: [99, 66, 109] from Operation: 16+93=109
Current State: 56:[99, 66, 109], Operations: ['16+93=109']
Exploring Operation: 99+66=165, Resulting Numbers: [109, 165]
Generated Node #3: [109, 165] from Operation: 99+66=165
Current State: 56:[109, 165], Operations: ['16+93=109', '99+66=165']
Exploring Operation: 165-109=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
56,
57,
40,
96
] | 51 | [
"56-40=16",
"96/16=6",
"57-6=51"
] | Current State: 51:[56, 57, 40, 96], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [57, 96, 16]
Generated Node #2: [57, 96, 16] from Operation: 56-40=16
Current State: 51:[57, 96, 16], Operations: ['56-40=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: ['56-40=16', '96/16=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
29,
58,
95,
8
] | 99 | [
"58/29=2",
"8/2=4",
"95+4=99"
] | Current State: 99:[29, 58, 95, 8], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [95, 8, 2]
Generated Node #2: [95, 8, 2] from Operation: 58/29=2
Current State: 99:[95, 8, 2], Operations: ['58/29=2']
Exploring Operation: 8/2=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 8/2=4
Current State: 99:[95, 4], Operations: ['58/29=2', '8/2=4']
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
89,
54,
10,
2
] | 23 | [
"89-54=35",
"10+2=12",
"35-12=23"
] | Current State: 23:[89, 54, 10, 2], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [10, 2, 35]
Generated Node #2: [10, 2, 35] from Operation: 89-54=35
Current State: 23:[10, 2, 35], Operations: ['89-54=35']
Exploring Operation: 10+2=12, Resulting Numbers: [35, 12]
Generated Node #3: [35, 12] from Operation: 10+2=12
Current State: 23:[35, 12], Operations: ['89-54=35', '10+2=12']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
11,
44,
79
] | 94 | [
"44/11=4",
"11+79=90",
"4+90=94"
] | Current State: 94:[11, 11, 44, 79], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [79, 4]
Generated Node #2: [79, 4] from Operation: 44/11=4
Current State: 94:[79, 4], Operations: ['44/11=4']
Exploring Operation: 11+79=90, Resulting Numbers: [4, 90]
Generated Node #3: [4, 90] from Operation: 11+79=90
Current State: 94:[4, 90], Operations: ['44/11=4', '11+79=90']
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
14,
82,
90,
33
] | 55 | [
"82-14=68",
"90+33=123",
"123-68=55"
] | Current State: 55:[14, 82, 90, 33], Operations: []
Exploring Operation: 82-14=68, Resulting Numbers: [90, 33, 68]
Generated Node #2: [90, 33, 68] from Operation: 82-14=68
Current State: 55:[90, 33, 68], Operations: ['82-14=68']
Exploring Operation: 90+33=123, Resulting Numbers: [68, 123]
Generated Node #3: [68, 123] from Operation: 90+33=123
Current State: 55:[68, 123], Operations: ['82-14=68', '90+33=123']
Exploring Operation: 123-68=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
18,
7,
51,
3
] | 84 | [
"18-7=11",
"3*11=33",
"51+33=84"
] | Current State: 84:[18, 7, 51, 3], Operations: []
Exploring Operation: 18-7=11, Resulting Numbers: [51, 3, 11]
Generated Node #2: [51, 3, 11] from Operation: 18-7=11
Current State: 84:[51, 3, 11], Operations: ['18-7=11']
Exploring Operation: 3*11=33, Resulting Numbers: [51, 33]
Generated Node #3: [51, 33] from Operation: 3*11=33
Current State: 84:[51, 33], Operations: ['18-7=11', '3*11=33']
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
47,
27,
28
] | 54 | [
"47-21=26",
"28-26=2",
"27*2=54"
] | Current State: 54:[21, 47, 27, 28], Operations: []
Exploring Operation: 47-21=26, Resulting Numbers: [27, 28, 26]
Generated Node #2: [27, 28, 26] from Operation: 47-21=26
Current State: 54:[27, 28, 26], Operations: ['47-21=26']
Exploring Operation: 28-26=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 28-26=2
Current State: 54:[27, 2], Operations: ['47-21=26', '28-26=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
15,
13,
83,
36
] | 45 | [
"15-13=2",
"83-36=47",
"47-2=45"
] | Current State: 45:[15, 13, 83, 36], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [83, 36, 2]
Generated Node #2: [83, 36, 2] from Operation: 15-13=2
Current State: 45:[83, 36, 2], Operations: ['15-13=2']
Exploring Operation: 83-36=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 83-36=47
Current State: 45:[2, 47], Operations: ['15-13=2', '83-36=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
56,
27,
36
] | 64 | [
"90*36=3240",
"3240/27=120",
"120-56=64"
] | Current State: 64:[90, 56, 27, 36], Operations: []
Exploring Operation: 90*36=3240, Resulting Numbers: [56, 27, 3240]
Generated Node #2: [56, 27, 3240] from Operation: 90*36=3240
Current State: 64:[56, 27, 3240], Operations: ['90*36=3240']
Exploring Operation: 3240/27=120, Resulting Numbers: [56, 120]
Generated Node #3: [56, 120] from Operation: 3240/27=120
Current State: 64:[56, 120], Operations: ['90*36=3240', '3240/27=120']
Exploring Operation: 120-56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
59,
37,
3,
5
] | 98 | [
"59+37=96",
"5-3=2",
"96+2=98"
] | Current State: 98:[59, 37, 3, 5], Operations: []
Exploring Operation: 59+37=96, Resulting Numbers: [3, 5, 96]
Generated Node #2: [3, 5, 96] from Operation: 59+37=96
Current State: 98:[3, 5, 96], Operations: ['59+37=96']
Exploring Operation: 5-3=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 5-3=2
Current State: 98:[96, 2], Operations: ['59+37=96', '5-3=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
46,
74,
15,
70
] | 65 | [
"46+74=120",
"70-15=55",
"120-55=65"
] | Current State: 65:[46, 74, 15, 70], Operations: []
Exploring Operation: 46+74=120, Resulting Numbers: [15, 70, 120]
Generated Node #2: [15, 70, 120] from Operation: 46+74=120
Current State: 65:[15, 70, 120], Operations: ['46+74=120']
Exploring Operation: 70-15=55, Resulting Numbers: [120, 55]
Generated Node #3: [120, 55] from Operation: 70-15=55
Current State: 65:[120, 55], Operations: ['46+74=120', '70-15=55']
Exploring Operation: 120-55=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
60,
78,
3
] | 76 | [
"27+3=30",
"60/30=2",
"78-2=76"
] | Current State: 76:[27, 60, 78, 3], Operations: []
Exploring Operation: 27+3=30, Resulting Numbers: [60, 78, 30]
Generated Node #2: [60, 78, 30] from Operation: 27+3=30
Current State: 76:[60, 78, 30], Operations: ['27+3=30']
Exploring Operation: 60/30=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 60/30=2
Current State: 76:[78, 2], Operations: ['27+3=30', '60/30=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
12,
34,
13,
29
] | 15 | [
"29-12=17",
"34/17=2",
"13+2=15"
] | Current State: 15:[12, 34, 13, 29], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [34, 13, 17]
Generated Node #2: [34, 13, 17] from Operation: 29-12=17
Current State: 15:[34, 13, 17], Operations: ['29-12=17']
Exploring Operation: 34/17=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 34/17=2
Current State: 15:[13, 2], Operations: ['29-12=17', '34/17=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
74,
12,
48,
48
] | 86 | [
"74+12=86",
"48-48=0",
"86+0=86"
] | Current State: 86:[74, 12, 48, 48], Operations: []
Exploring Operation: 74+12=86, Resulting Numbers: [48, 48, 86]
Generated Node #2: [48, 48, 86] from Operation: 74+12=86
Current State: 86:[48, 48, 86], Operations: ['74+12=86']
Exploring Operation: 48-48=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 48-48=0
Current State: 86:[86, 0], Operations: ['74+12=86', '48-48=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
58,
6,
9,
54
] | 97 | [
"58-6=52",
"54-9=45",
"52+45=97"
] | Current State: 97:[58, 6, 9, 54], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [9, 54, 52]
Generated Node #2: [9, 54, 52] from Operation: 58-6=52
Current State: 97:[9, 54, 52], Operations: ['58-6=52']
Exploring Operation: 54-9=45, Resulting Numbers: [52, 45]
Generated Node #3: [52, 45] from Operation: 54-9=45
Current State: 97:[52, 45], Operations: ['58-6=52', '54-9=45']
Exploring Operation: 52+45=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
73,
74,
22,
93
] | 76 | [
"73+74=147",
"93-22=71",
"147-71=76"
] | Current State: 76:[73, 74, 22, 93], Operations: []
Exploring Operation: 73+74=147, Resulting Numbers: [22, 93, 147]
Generated Node #2: [22, 93, 147] from Operation: 73+74=147
Current State: 76:[22, 93, 147], Operations: ['73+74=147']
Exploring Operation: 93-22=71, Resulting Numbers: [147, 71]
Generated Node #3: [147, 71] from Operation: 93-22=71
Current State: 76:[147, 71], Operations: ['73+74=147', '93-22=71']
Exploring Operation: 147-71=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
24,
7,
38,
22
] | 52 | [
"24-22=2",
"7*2=14",
"38+14=52"
] | Current State: 52:[24, 7, 38, 22], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [7, 38, 2]
Generated Node #2: [7, 38, 2] from Operation: 24-22=2
Current State: 52:[7, 38, 2], Operations: ['24-22=2']
Exploring Operation: 7*2=14, Resulting Numbers: [38, 14]
Generated Node #3: [38, 14] from Operation: 7*2=14
Current State: 52:[38, 14], Operations: ['24-22=2', '7*2=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
62,
72,
2,
72
] | 59 | [
"62-2=60",
"72/72=1",
"60-1=59"
] | Current State: 59:[62, 72, 2, 72], Operations: []
Exploring Operation: 62-2=60, Resulting Numbers: [72, 72, 60]
Generated Node #2: [72, 72, 60] from Operation: 62-2=60
Current State: 59:[72, 72, 60], Operations: ['62-2=60']
Exploring Operation: 72/72=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 72/72=1
Current State: 59:[60, 1], Operations: ['62-2=60', '72/72=1']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
48,
74,
30
] | 100 | [
"48/12=4",
"74+30=104",
"104-4=100"
] | Current State: 100:[12, 48, 74, 30], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [74, 30, 4]
Generated Node #2: [74, 30, 4] from Operation: 48/12=4
Current State: 100:[74, 30, 4], Operations: ['48/12=4']
Exploring Operation: 74+30=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 74+30=104
Current State: 100:[4, 104], Operations: ['48/12=4', '74+30=104']
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
81,
81,
23,
4
] | 28 | [
"81/81=1",
"23+4=27",
"1+27=28"
] | Current State: 28:[81, 81, 23, 4], Operations: []
Exploring Operation: 81/81=1, Resulting Numbers: [23, 4, 1]
Generated Node #2: [23, 4, 1] from Operation: 81/81=1
Current State: 28:[23, 4, 1], Operations: ['81/81=1']
Exploring Operation: 23+4=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 23+4=27
Current State: 28:[1, 27], Operations: ['81/81=1', '23+4=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
90,
9,
4,
57
] | 38 | [
"90+9=99",
"4+57=61",
"99-61=38"
] | Current State: 38:[90, 9, 4, 57], Operations: []
Exploring Operation: 90+9=99, Resulting Numbers: [4, 57, 99]
Generated Node #2: [4, 57, 99] from Operation: 90+9=99
Current State: 38:[4, 57, 99], Operations: ['90+9=99']
Exploring Operation: 4+57=61, Resulting Numbers: [99, 61]
Generated Node #3: [99, 61] from Operation: 4+57=61
Current State: 38:[99, 61], Operations: ['90+9=99', '4+57=61']
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
74,
54,
25,
38
] | 43 | [
"74-54=20",
"25+38=63",
"63-20=43"
] | Current State: 43:[74, 54, 25, 38], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [25, 38, 20]
Generated Node #2: [25, 38, 20] from Operation: 74-54=20
Current State: 43:[25, 38, 20], Operations: ['74-54=20']
Exploring Operation: 25+38=63, Resulting Numbers: [20, 63]
Generated Node #3: [20, 63] from Operation: 25+38=63
Current State: 43:[20, 63], Operations: ['74-54=20', '25+38=63']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
65,
52,
79
] | 22 | [
"65/13=5",
"79-52=27",
"27-5=22"
] | Current State: 22:[13, 65, 52, 79], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [52, 79, 5]
Generated Node #2: [52, 79, 5] from Operation: 65/13=5
Current State: 22:[52, 79, 5], Operations: ['65/13=5']
Exploring Operation: 79-52=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 79-52=27
Current State: 22:[5, 27], Operations: ['65/13=5', '79-52=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
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