nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
44,
53,
17
] | 83 | [
"57-44=13",
"53+17=70",
"13+70=83"
] | Current State: 83:[57, 44, 53, 17], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [53, 17, 13]
Generated Node #2: [53, 17, 13] from Operation: 57-44=13
Current State: 83:[53, 17, 13], Operations: ['57-44=13']
Exploring Operation: 53+17=70, Resulting Numbers: [13, 70]
Generated Node #3: [13, 70] from Operation: 53+17=70
Current State: 83:[13, 70], Operations: ['57-44=13', '53+17=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
35,
3,
78,
76
] | 29 | [
"78-76=2",
"3*2=6",
"35-6=29"
] | Current State: 29:[35, 3, 78, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [35, 3, 2]
Generated Node #2: [35, 3, 2] from Operation: 78-76=2
Current State: 29:[35, 3, 2], Operations: ['78-76=2']
Exploring Operation: 3*2=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 3*2=6
Current State: 29:[35, 6], Operations: ['78-76=2', '3*2=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
93,
57,
87,
74
] | 84 | [
"93-74=19",
"57/19=3",
"87-3=84"
] | Current State: 84:[93, 57, 87, 74], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [57, 87, 19]
Generated Node #2: [57, 87, 19] from Operation: 93-74=19
Current State: 84:[57, 87, 19], Operations: ['93-74=19']
Exploring Operation: 57/19=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 57/19=3
Current State: 84:[87, 3], Operations: ['93-74=19', '57/19=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
1,
2,
92,
40
] | 53 | [
"2-1=1",
"92-40=52",
"1+52=53"
] | Current State: 53:[1, 2, 92, 40], Operations: []
Exploring Operation: 2-1=1, Resulting Numbers: [92, 40, 1]
Generated Node #2: [92, 40, 1] from Operation: 2-1=1
Current State: 53:[92, 40, 1], Operations: ['2-1=1']
Exploring Operation: 92-40=52, Resulting Numbers: [1, 52]
Generated Node #3: [1, 52] from Operation: 92-40=52
Current State: 53:[1, 52], Operations: ['2-1=1', '92-40=52']
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
42,
57,
47,
63
] | 83 | [
"42+57=99",
"63-47=16",
"99-16=83"
] | Current State: 83:[42, 57, 47, 63], Operations: []
Exploring Operation: 42+57=99, Resulting Numbers: [47, 63, 99]
Generated Node #2: [47, 63, 99] from Operation: 42+57=99
Current State: 83:[47, 63, 99], Operations: ['42+57=99']
Exploring Operation: 63-47=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 63-47=16
Current State: 83:[99, 16], Operations: ['42+57=99', '63-47=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
97,
59,
64,
46
] | 46 | [
"97+59=156",
"64+46=110",
"156-110=46"
] | Current State: 46:[97, 59, 64, 46], Operations: []
Exploring Operation: 97+59=156, Resulting Numbers: [64, 46, 156]
Generated Node #2: [64, 46, 156] from Operation: 97+59=156
Current State: 46:[64, 46, 156], Operations: ['97+59=156']
Exploring Operation: 64+46=110, Resulting Numbers: [156, 110]
Generated Node #3: [156, 110] from Operation: 64+46=110
Current State: 46:[156, 110], Operations: ['97+59=156', '64+46=110']
Exploring Operation: 156-110=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
87,
48,
94,
45
] | 10 | [
"87-48=39",
"94-45=49",
"49-39=10"
] | Current State: 10:[87, 48, 94, 45], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [94, 45, 39]
Generated Node #2: [94, 45, 39] from Operation: 87-48=39
Current State: 10:[94, 45, 39], Operations: ['87-48=39']
Exploring Operation: 94-45=49, Resulting Numbers: [39, 49]
Generated Node #3: [39, 49] from Operation: 94-45=49
Current State: 10:[39, 49], Operations: ['87-48=39', '94-45=49']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
9,
65,
21,
68
] | 54 | [
"68-65=3",
"21*3=63",
"63-9=54"
] | Current State: 54:[9, 65, 21, 68], Operations: []
Exploring Operation: 68-65=3, Resulting Numbers: [9, 21, 3]
Generated Node #2: [9, 21, 3] from Operation: 68-65=3
Current State: 54:[9, 21, 3], Operations: ['68-65=3']
Exploring Operation: 21*3=63, Resulting Numbers: [9, 63]
Generated Node #3: [9, 63] from Operation: 21*3=63
Current State: 54:[9, 63], Operations: ['68-65=3', '21*3=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
73,
78,
57,
69
] | 60 | [
"78-73=5",
"69-57=12",
"5*12=60"
] | Current State: 60:[73, 78, 57, 69], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [57, 69, 5]
Generated Node #2: [57, 69, 5] from Operation: 78-73=5
Current State: 60:[57, 69, 5], Operations: ['78-73=5']
Exploring Operation: 69-57=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 69-57=12
Current State: 60:[5, 12], Operations: ['78-73=5', '69-57=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
82,
10,
51,
95
] | 97 | [
"51-10=41",
"82/41=2",
"95+2=97"
] | Current State: 97:[82, 10, 51, 95], Operations: []
Exploring Operation: 51-10=41, Resulting Numbers: [82, 95, 41]
Generated Node #2: [82, 95, 41] from Operation: 51-10=41
Current State: 97:[82, 95, 41], Operations: ['51-10=41']
Exploring Operation: 82/41=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 82/41=2
Current State: 97:[95, 2], Operations: ['51-10=41', '82/41=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
93,
70,
84
] | 93 | [
"93-32=61",
"70+84=154",
"154-61=93"
] | Current State: 93:[32, 93, 70, 84], Operations: []
Exploring Operation: 93-32=61, Resulting Numbers: [70, 84, 61]
Generated Node #2: [70, 84, 61] from Operation: 93-32=61
Current State: 93:[70, 84, 61], Operations: ['93-32=61']
Exploring Operation: 70+84=154, Resulting Numbers: [61, 154]
Generated Node #3: [61, 154] from Operation: 70+84=154
Current State: 93:[61, 154], Operations: ['93-32=61', '70+84=154']
Exploring Operation: 154-61=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
78,
2,
7,
75
] | 67 | [
"78-7=71",
"2*71=142",
"142-75=67"
] | Current State: 67:[78, 2, 7, 75], Operations: []
Exploring Operation: 78-7=71, Resulting Numbers: [2, 75, 71]
Generated Node #2: [2, 75, 71] from Operation: 78-7=71
Current State: 67:[2, 75, 71], Operations: ['78-7=71']
Exploring Operation: 2*71=142, Resulting Numbers: [75, 142]
Generated Node #3: [75, 142] from Operation: 2*71=142
Current State: 67:[75, 142], Operations: ['78-7=71', '2*71=142']
Exploring Operation: 142-75=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
97,
16,
2,
23
] | 19 | [
"16+23=39",
"2*39=78",
"97-78=19"
] | Current State: 19:[97, 16, 2, 23], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [97, 2, 39]
Generated Node #2: [97, 2, 39] from Operation: 16+23=39
Current State: 19:[97, 2, 39], Operations: ['16+23=39']
Exploring Operation: 2*39=78, Resulting Numbers: [97, 78]
Generated Node #3: [97, 78] from Operation: 2*39=78
Current State: 19:[97, 78], Operations: ['16+23=39', '2*39=78']
Exploring Operation: 97-78=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
53,
43,
57
] | 81 | [
"57-43=14",
"2*14=28",
"53+28=81"
] | Current State: 81:[2, 53, 43, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [2, 53, 14]
Generated Node #2: [2, 53, 14] from Operation: 57-43=14
Current State: 81:[2, 53, 14], Operations: ['57-43=14']
Exploring Operation: 2*14=28, Resulting Numbers: [53, 28]
Generated Node #3: [53, 28] from Operation: 2*14=28
Current State: 81:[53, 28], Operations: ['57-43=14', '2*14=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
18,
6,
54,
90
] | 84 | [
"18/6=3",
"90/3=30",
"54+30=84"
] | Current State: 84:[18, 6, 54, 90], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [54, 90, 3]
Generated Node #2: [54, 90, 3] from Operation: 18/6=3
Current State: 84:[54, 90, 3], Operations: ['18/6=3']
Exploring Operation: 90/3=30, Resulting Numbers: [54, 30]
Generated Node #3: [54, 30] from Operation: 90/3=30
Current State: 84:[54, 30], Operations: ['18/6=3', '90/3=30']
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
98,
90,
3,
84
] | 88 | [
"98+84=182",
"90*3=270",
"270-182=88"
] | Current State: 88:[98, 90, 3, 84], Operations: []
Exploring Operation: 98+84=182, Resulting Numbers: [90, 3, 182]
Generated Node #2: [90, 3, 182] from Operation: 98+84=182
Current State: 88:[90, 3, 182], Operations: ['98+84=182']
Exploring Operation: 90*3=270, Resulting Numbers: [182, 270]
Generated Node #3: [182, 270] from Operation: 90*3=270
Current State: 88:[182, 270], Operations: ['98+84=182', '90*3=270']
Exploring Operation: 270-182=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
11,
49,
24,
25
] | 35 | [
"11+24=35",
"49*25=1225",
"1225/35=35"
] | Current State: 35:[11, 49, 24, 25], Operations: []
Exploring Operation: 11+24=35, Resulting Numbers: [49, 25, 35]
Generated Node #2: [49, 25, 35] from Operation: 11+24=35
Current State: 35:[49, 25, 35], Operations: ['11+24=35']
Exploring Operation: 49*25=1225, Resulting Numbers: [35, 1225]
Generated Node #3: [35, 1225] from Operation: 49*25=1225
Current State: 35:[35, 1225], Operations: ['11+24=35', '49*25=1225']
Exploring Operation: 1225/35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
87,
46,
27
] | 16 | [
"2+87=89",
"46+27=73",
"89-73=16"
] | Current State: 16:[2, 87, 46, 27], Operations: []
Exploring Operation: 2+87=89, Resulting Numbers: [46, 27, 89]
Generated Node #2: [46, 27, 89] from Operation: 2+87=89
Current State: 16:[46, 27, 89], Operations: ['2+87=89']
Exploring Operation: 46+27=73, Resulting Numbers: [89, 73]
Generated Node #3: [89, 73] from Operation: 46+27=73
Current State: 16:[89, 73], Operations: ['2+87=89', '46+27=73']
Exploring Operation: 89-73=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
4,
44,
7,
2
] | 64 | [
"7-2=5",
"4*5=20",
"44+20=64"
] | Current State: 64:[4, 44, 7, 2], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [4, 44, 5]
Generated Node #2: [4, 44, 5] from Operation: 7-2=5
Current State: 64:[4, 44, 5], Operations: ['7-2=5']
Exploring Operation: 4*5=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 4*5=20
Current State: 64:[44, 20], Operations: ['7-2=5', '4*5=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
28,
38,
8
] | 38 | [
"3*28=84",
"38+8=46",
"84-46=38"
] | Current State: 38:[3, 28, 38, 8], Operations: []
Exploring Operation: 3*28=84, Resulting Numbers: [38, 8, 84]
Generated Node #2: [38, 8, 84] from Operation: 3*28=84
Current State: 38:[38, 8, 84], Operations: ['3*28=84']
Exploring Operation: 38+8=46, Resulting Numbers: [84, 46]
Generated Node #3: [84, 46] from Operation: 38+8=46
Current State: 38:[84, 46], Operations: ['3*28=84', '38+8=46']
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
20,
59,
5
] | 50 | [
"20/5=4",
"59-5=54",
"54-4=50"
] | Current State: 50:[5, 20, 59, 5], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [59, 4]
Generated Node #2: [59, 4] from Operation: 20/5=4
Current State: 50:[59, 4], Operations: ['20/5=4']
Exploring Operation: 59-5=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 59-5=54
Current State: 50:[4, 54], Operations: ['20/5=4', '59-5=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
7,
83,
43,
97
] | 45 | [
"97-83=14",
"14/7=2",
"43+2=45"
] | Current State: 45:[7, 83, 43, 97], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [7, 43, 14]
Generated Node #2: [7, 43, 14] from Operation: 97-83=14
Current State: 45:[7, 43, 14], Operations: ['97-83=14']
Exploring Operation: 14/7=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 14/7=2
Current State: 45:[43, 2], Operations: ['97-83=14', '14/7=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
98,
30,
29,
86
] | 71 | [
"98+30=128",
"86-29=57",
"128-57=71"
] | Current State: 71:[98, 30, 29, 86], Operations: []
Exploring Operation: 98+30=128, Resulting Numbers: [29, 86, 128]
Generated Node #2: [29, 86, 128] from Operation: 98+30=128
Current State: 71:[29, 86, 128], Operations: ['98+30=128']
Exploring Operation: 86-29=57, Resulting Numbers: [128, 57]
Generated Node #3: [128, 57] from Operation: 86-29=57
Current State: 71:[128, 57], Operations: ['98+30=128', '86-29=57']
Exploring Operation: 128-57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
99,
72,
92,
92
] | 27 | [
"99-72=27",
"92-92=0",
"27+0=27"
] | Current State: 27:[99, 72, 92, 92], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [92, 92, 27]
Generated Node #2: [92, 92, 27] from Operation: 99-72=27
Current State: 27:[92, 92, 27], Operations: ['99-72=27']
Exploring Operation: 92-92=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 92-92=0
Current State: 27:[27, 0], Operations: ['99-72=27', '92-92=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
17,
76,
80,
77
] | 98 | [
"76-17=59",
"80+77=157",
"157-59=98"
] | Current State: 98:[17, 76, 80, 77], Operations: []
Exploring Operation: 76-17=59, Resulting Numbers: [80, 77, 59]
Generated Node #2: [80, 77, 59] from Operation: 76-17=59
Current State: 98:[80, 77, 59], Operations: ['76-17=59']
Exploring Operation: 80+77=157, Resulting Numbers: [59, 157]
Generated Node #3: [59, 157] from Operation: 80+77=157
Current State: 98:[59, 157], Operations: ['76-17=59', '80+77=157']
Exploring Operation: 157-59=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
51,
77,
40,
19
] | 85 | [
"77-51=26",
"40+19=59",
"26+59=85"
] | Current State: 85:[51, 77, 40, 19], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [40, 19, 26]
Generated Node #2: [40, 19, 26] from Operation: 77-51=26
Current State: 85:[40, 19, 26], Operations: ['77-51=26']
Exploring Operation: 40+19=59, Resulting Numbers: [26, 59]
Generated Node #3: [26, 59] from Operation: 40+19=59
Current State: 85:[26, 59], Operations: ['77-51=26', '40+19=59']
Exploring Operation: 26+59=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
65,
22,
68,
43
] | 68 | [
"65-22=43",
"68+43=111",
"111-43=68"
] | Current State: 68:[65, 22, 68, 43], Operations: []
Exploring Operation: 65-22=43, Resulting Numbers: [68, 43, 43]
Generated Node #2: [68, 43, 43] from Operation: 65-22=43
Current State: 68:[68, 43, 43], Operations: ['65-22=43']
Exploring Operation: 68+43=111, Resulting Numbers: [111]
111,68 equal: Goal Reached
Exploring Operation: 111-43=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
5,
68,
12,
63
] | 77 | [
"12-5=7",
"63/7=9",
"68+9=77"
] | Current State: 77:[5, 68, 12, 63], Operations: []
Exploring Operation: 12-5=7, Resulting Numbers: [68, 63, 7]
Generated Node #2: [68, 63, 7] from Operation: 12-5=7
Current State: 77:[68, 63, 7], Operations: ['12-5=7']
Exploring Operation: 63/7=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 63/7=9
Current State: 77:[68, 9], Operations: ['12-5=7', '63/7=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
60,
57,
65
] | 33 | [
"60-57=3",
"96/3=32",
"65-32=33"
] | Current State: 33:[96, 60, 57, 65], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [96, 65, 3]
Generated Node #2: [96, 65, 3] from Operation: 60-57=3
Current State: 33:[96, 65, 3], Operations: ['60-57=3']
Exploring Operation: 96/3=32, Resulting Numbers: [65, 32]
Generated Node #3: [65, 32] from Operation: 96/3=32
Current State: 33:[65, 32], Operations: ['60-57=3', '96/3=32']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
82,
10,
87,
93
] | 86 | [
"82+10=92",
"93-87=6",
"92-6=86"
] | Current State: 86:[82, 10, 87, 93], Operations: []
Exploring Operation: 82+10=92, Resulting Numbers: [87, 93, 92]
Generated Node #2: [87, 93, 92] from Operation: 82+10=92
Current State: 86:[87, 93, 92], Operations: ['82+10=92']
Exploring Operation: 93-87=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 93-87=6
Current State: 86:[92, 6], Operations: ['82+10=92', '93-87=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
1,
91,
95,
87
] | 24 | [
"1+95=96",
"91-87=4",
"96/4=24"
] | Current State: 24:[1, 91, 95, 87], Operations: []
Exploring Operation: 1+95=96, Resulting Numbers: [91, 87, 96]
Generated Node #2: [91, 87, 96] from Operation: 1+95=96
Current State: 24:[91, 87, 96], Operations: ['1+95=96']
Exploring Operation: 91-87=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 91-87=4
Current State: 24:[96, 4], Operations: ['1+95=96', '91-87=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
49,
49,
77,
7
] | 66 | [
"49-7=42",
"77*42=3234",
"3234/49=66"
] | Current State: 66:[49, 49, 77, 7], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [77, 42]
Generated Node #2: [77, 42] from Operation: 49-7=42
Current State: 66:[77, 42], Operations: ['49-7=42']
Exploring Operation: 77*42=3234, Resulting Numbers: [3234]
3234,66 equal: Goal Reached
Exploring Operation: 3234/49=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
16,
11,
15
] | 58 | [
"70-16=54",
"15-11=4",
"54+4=58"
] | Current State: 58:[70, 16, 11, 15], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [11, 15, 54]
Generated Node #2: [11, 15, 54] from Operation: 70-16=54
Current State: 58:[11, 15, 54], Operations: ['70-16=54']
Exploring Operation: 15-11=4, Resulting Numbers: [54, 4]
Generated Node #3: [54, 4] from Operation: 15-11=4
Current State: 58:[54, 4], Operations: ['70-16=54', '15-11=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
23,
66,
30,
67
] | 69 | [
"23+67=90",
"90/30=3",
"66+3=69"
] | Current State: 69:[23, 66, 30, 67], Operations: []
Exploring Operation: 23+67=90, Resulting Numbers: [66, 30, 90]
Generated Node #2: [66, 30, 90] from Operation: 23+67=90
Current State: 69:[66, 30, 90], Operations: ['23+67=90']
Exploring Operation: 90/30=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 90/30=3
Current State: 69:[66, 3], Operations: ['23+67=90', '90/30=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
14,
42,
52,
39
] | 41 | [
"42-14=28",
"52-39=13",
"28+13=41"
] | Current State: 41:[14, 42, 52, 39], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [52, 39, 28]
Generated Node #2: [52, 39, 28] from Operation: 42-14=28
Current State: 41:[52, 39, 28], Operations: ['42-14=28']
Exploring Operation: 52-39=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 52-39=13
Current State: 41:[28, 13], Operations: ['42-14=28', '52-39=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
11,
59,
39,
5
] | 55 | [
"39+5=44",
"44/11=4",
"59-4=55"
] | Current State: 55:[11, 59, 39, 5], Operations: []
Exploring Operation: 39+5=44, Resulting Numbers: [11, 59, 44]
Generated Node #2: [11, 59, 44] from Operation: 39+5=44
Current State: 55:[11, 59, 44], Operations: ['39+5=44']
Exploring Operation: 44/11=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 44/11=4
Current State: 55:[59, 4], Operations: ['39+5=44', '44/11=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
17,
43,
73,
83
] | 16 | [
"43-17=26",
"83-73=10",
"26-10=16"
] | Current State: 16:[17, 43, 73, 83], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [73, 83, 26]
Generated Node #2: [73, 83, 26] from Operation: 43-17=26
Current State: 16:[73, 83, 26], Operations: ['43-17=26']
Exploring Operation: 83-73=10, Resulting Numbers: [26, 10]
Generated Node #3: [26, 10] from Operation: 83-73=10
Current State: 16:[26, 10], Operations: ['43-17=26', '83-73=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
78,
85,
22
] | 83 | [
"78-54=24",
"85+22=107",
"107-24=83"
] | Current State: 83:[54, 78, 85, 22], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [85, 22, 24]
Generated Node #2: [85, 22, 24] from Operation: 78-54=24
Current State: 83:[85, 22, 24], Operations: ['78-54=24']
Exploring Operation: 85+22=107, Resulting Numbers: [24, 107]
Generated Node #3: [24, 107] from Operation: 85+22=107
Current State: 83:[24, 107], Operations: ['78-54=24', '85+22=107']
Exploring Operation: 107-24=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
56,
49,
31,
14
] | 75 | [
"56*31=1736",
"1736/14=124",
"124-49=75"
] | Current State: 75:[56, 49, 31, 14], Operations: []
Exploring Operation: 56*31=1736, Resulting Numbers: [49, 14, 1736]
Generated Node #2: [49, 14, 1736] from Operation: 56*31=1736
Current State: 75:[49, 14, 1736], Operations: ['56*31=1736']
Exploring Operation: 1736/14=124, Resulting Numbers: [49, 124]
Generated Node #3: [49, 124] from Operation: 1736/14=124
Current State: 75:[49, 124], Operations: ['56*31=1736', '1736/14=124']
Exploring Operation: 124-49=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
35,
84,
9
] | 77 | [
"35+9=44",
"84*44=3696",
"3696/48=77"
] | Current State: 77:[48, 35, 84, 9], Operations: []
Exploring Operation: 35+9=44, Resulting Numbers: [48, 84, 44]
Generated Node #2: [48, 84, 44] from Operation: 35+9=44
Current State: 77:[48, 84, 44], Operations: ['35+9=44']
Exploring Operation: 84*44=3696, Resulting Numbers: [48, 3696]
Generated Node #3: [48, 3696] from Operation: 84*44=3696
Current State: 77:[48, 3696], Operations: ['35+9=44', '84*44=3696']
Exploring Operation: 3696/48=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
62,
95,
16,
18
] | 67 | [
"95-62=33",
"16+18=34",
"33+34=67"
] | Current State: 67:[62, 95, 16, 18], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [16, 18, 33]
Generated Node #2: [16, 18, 33] from Operation: 95-62=33
Current State: 67:[16, 18, 33], Operations: ['95-62=33']
Exploring Operation: 16+18=34, Resulting Numbers: [33, 34]
Generated Node #3: [33, 34] from Operation: 16+18=34
Current State: 67:[33, 34], Operations: ['95-62=33', '16+18=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
29,
48,
7,
23
] | 93 | [
"29+48=77",
"23-7=16",
"77+16=93"
] | Current State: 93:[29, 48, 7, 23], Operations: []
Exploring Operation: 29+48=77, Resulting Numbers: [7, 23, 77]
Generated Node #2: [7, 23, 77] from Operation: 29+48=77
Current State: 93:[7, 23, 77], Operations: ['29+48=77']
Exploring Operation: 23-7=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 23-7=16
Current State: 93:[77, 16], Operations: ['29+48=77', '23-7=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
76,
22,
37,
22
] | 40 | [
"76-37=39",
"22/22=1",
"39+1=40"
] | Current State: 40:[76, 22, 37, 22], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [22, 22, 39]
Generated Node #2: [22, 22, 39] from Operation: 76-37=39
Current State: 40:[22, 22, 39], Operations: ['76-37=39']
Exploring Operation: 22/22=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 22/22=1
Current State: 40:[39, 1], Operations: ['76-37=39', '22/22=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
27,
43,
43,
8
] | 20 | [
"27-8=19",
"43/43=1",
"19+1=20"
] | Current State: 20:[27, 43, 43, 8], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [43, 43, 19]
Generated Node #2: [43, 43, 19] from Operation: 27-8=19
Current State: 20:[43, 43, 19], Operations: ['27-8=19']
Exploring Operation: 43/43=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 43/43=1
Current State: 20:[19, 1], Operations: ['27-8=19', '43/43=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
42,
98,
6
] | 60 | [
"98-81=17",
"6*17=102",
"102-42=60"
] | Current State: 60:[81, 42, 98, 6], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [42, 6, 17]
Generated Node #2: [42, 6, 17] from Operation: 98-81=17
Current State: 60:[42, 6, 17], Operations: ['98-81=17']
Exploring Operation: 6*17=102, Resulting Numbers: [42, 102]
Generated Node #3: [42, 102] from Operation: 6*17=102
Current State: 60:[42, 102], Operations: ['98-81=17', '6*17=102']
Exploring Operation: 102-42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
75,
2,
57
] | 48 | [
"3*57=171",
"171-75=96",
"96/2=48"
] | Current State: 48:[3, 75, 2, 57], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [75, 2, 171]
Generated Node #2: [75, 2, 171] from Operation: 3*57=171
Current State: 48:[75, 2, 171], Operations: ['3*57=171']
Exploring Operation: 171-75=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 171-75=96
Current State: 48:[2, 96], Operations: ['3*57=171', '171-75=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
70,
2,
4,
7
] | 75 | [
"70+2=72",
"7-4=3",
"72+3=75"
] | Current State: 75:[70, 2, 4, 7], Operations: []
Exploring Operation: 70+2=72, Resulting Numbers: [4, 7, 72]
Generated Node #2: [4, 7, 72] from Operation: 70+2=72
Current State: 75:[4, 7, 72], Operations: ['70+2=72']
Exploring Operation: 7-4=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 7-4=3
Current State: 75:[72, 3], Operations: ['70+2=72', '7-4=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
9,
63,
32,
72
] | 67 | [
"9*32=288",
"288/72=4",
"63+4=67"
] | Current State: 67:[9, 63, 32, 72], Operations: []
Exploring Operation: 9*32=288, Resulting Numbers: [63, 72, 288]
Generated Node #2: [63, 72, 288] from Operation: 9*32=288
Current State: 67:[63, 72, 288], Operations: ['9*32=288']
Exploring Operation: 288/72=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 288/72=4
Current State: 67:[63, 4], Operations: ['9*32=288', '288/72=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
90,
51,
66,
47
] | 53 | [
"66-51=15",
"90/15=6",
"47+6=53"
] | Current State: 53:[90, 51, 66, 47], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [90, 47, 15]
Generated Node #2: [90, 47, 15] from Operation: 66-51=15
Current State: 53:[90, 47, 15], Operations: ['66-51=15']
Exploring Operation: 90/15=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 90/15=6
Current State: 53:[47, 6], Operations: ['66-51=15', '90/15=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
70,
18,
35
] | 20 | [
"70*18=1260",
"1260/35=36",
"36-16=20"
] | Current State: 20:[16, 70, 18, 35], Operations: []
Exploring Operation: 70*18=1260, Resulting Numbers: [16, 35, 1260]
Generated Node #2: [16, 35, 1260] from Operation: 70*18=1260
Current State: 20:[16, 35, 1260], Operations: ['70*18=1260']
Exploring Operation: 1260/35=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 1260/35=36
Current State: 20:[16, 36], Operations: ['70*18=1260', '1260/35=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
1,
7,
9,
98
] | 48 | [
"9-7=2",
"98/2=49",
"49-1=48"
] | Current State: 48:[1, 7, 9, 98], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [1, 98, 2]
Generated Node #2: [1, 98, 2] from Operation: 9-7=2
Current State: 48:[1, 98, 2], Operations: ['9-7=2']
Exploring Operation: 98/2=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 98/2=49
Current State: 48:[1, 49], Operations: ['9-7=2', '98/2=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
39,
9,
40,
1
] | 71 | [
"39-9=30",
"40+1=41",
"30+41=71"
] | Current State: 71:[39, 9, 40, 1], Operations: []
Exploring Operation: 39-9=30, Resulting Numbers: [40, 1, 30]
Generated Node #2: [40, 1, 30] from Operation: 39-9=30
Current State: 71:[40, 1, 30], Operations: ['39-9=30']
Exploring Operation: 40+1=41, Resulting Numbers: [30, 41]
Generated Node #3: [30, 41] from Operation: 40+1=41
Current State: 71:[30, 41], Operations: ['39-9=30', '40+1=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
78,
96,
16,
51
] | 38 | [
"78*16=1248",
"1248/96=13",
"51-13=38"
] | Current State: 38:[78, 96, 16, 51], Operations: []
Exploring Operation: 78*16=1248, Resulting Numbers: [96, 51, 1248]
Generated Node #2: [96, 51, 1248] from Operation: 78*16=1248
Current State: 38:[96, 51, 1248], Operations: ['78*16=1248']
Exploring Operation: 1248/96=13, Resulting Numbers: [51, 13]
Generated Node #3: [51, 13] from Operation: 1248/96=13
Current State: 38:[51, 13], Operations: ['78*16=1248', '1248/96=13']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
58,
94,
10,
63
] | 14 | [
"94*10=940",
"940-58=882",
"882/63=14"
] | Current State: 14:[58, 94, 10, 63], Operations: []
Exploring Operation: 94*10=940, Resulting Numbers: [58, 63, 940]
Generated Node #2: [58, 63, 940] from Operation: 94*10=940
Current State: 14:[58, 63, 940], Operations: ['94*10=940']
Exploring Operation: 940-58=882, Resulting Numbers: [63, 882]
Generated Node #3: [63, 882] from Operation: 940-58=882
Current State: 14:[63, 882], Operations: ['94*10=940', '940-58=882']
Exploring Operation: 882/63=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
3,
42,
76
] | 24 | [
"6*42=252",
"3*76=228",
"252-228=24"
] | Current State: 24:[6, 3, 42, 76], Operations: []
Exploring Operation: 6*42=252, Resulting Numbers: [3, 76, 252]
Generated Node #2: [3, 76, 252] from Operation: 6*42=252
Current State: 24:[3, 76, 252], Operations: ['6*42=252']
Exploring Operation: 3*76=228, Resulting Numbers: [252, 228]
Generated Node #3: [252, 228] from Operation: 3*76=228
Current State: 24:[252, 228], Operations: ['6*42=252', '3*76=228']
Exploring Operation: 252-228=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
74,
67,
49,
91
] | 98 | [
"74-67=7",
"49/7=7",
"91+7=98"
] | Current State: 98:[74, 67, 49, 91], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [49, 91, 7]
Generated Node #2: [49, 91, 7] from Operation: 74-67=7
Current State: 98:[49, 91, 7], Operations: ['74-67=7']
Exploring Operation: 49/7=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 49/7=7
Current State: 98:[91, 7], Operations: ['74-67=7', '49/7=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
16,
73,
25,
16
] | 19 | [
"73-25=48",
"48/16=3",
"16+3=19"
] | Current State: 19:[16, 73, 25, 16], Operations: []
Exploring Operation: 73-25=48, Resulting Numbers: [16, 16, 48]
Generated Node #2: [16, 16, 48] from Operation: 73-25=48
Current State: 19:[16, 16, 48], Operations: ['73-25=48']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,19 equal: Goal Reached
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
27,
40,
84,
12
] | 29 | [
"27+40=67",
"84+12=96",
"96-67=29"
] | Current State: 29:[27, 40, 84, 12], Operations: []
Exploring Operation: 27+40=67, Resulting Numbers: [84, 12, 67]
Generated Node #2: [84, 12, 67] from Operation: 27+40=67
Current State: 29:[84, 12, 67], Operations: ['27+40=67']
Exploring Operation: 84+12=96, Resulting Numbers: [67, 96]
Generated Node #3: [67, 96] from Operation: 84+12=96
Current State: 29:[67, 96], Operations: ['27+40=67', '84+12=96']
Exploring Operation: 96-67=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
16,
11,
18,
3
] | 20 | [
"16-11=5",
"18-3=15",
"5+15=20"
] | Current State: 20:[16, 11, 18, 3], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [18, 3, 5]
Generated Node #2: [18, 3, 5] from Operation: 16-11=5
Current State: 20:[18, 3, 5], Operations: ['16-11=5']
Exploring Operation: 18-3=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 18-3=15
Current State: 20:[5, 15], Operations: ['16-11=5', '18-3=15']
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
12,
34,
39,
99
] | 82 | [
"34-12=22",
"99-39=60",
"22+60=82"
] | Current State: 82:[12, 34, 39, 99], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [39, 99, 22]
Generated Node #2: [39, 99, 22] from Operation: 34-12=22
Current State: 82:[39, 99, 22], Operations: ['34-12=22']
Exploring Operation: 99-39=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 99-39=60
Current State: 82:[22, 60], Operations: ['34-12=22', '99-39=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
29,
81,
60,
29
] | 20 | [
"29/29=1",
"81-60=21",
"21-1=20"
] | Current State: 20:[29, 81, 60, 29], Operations: []
Exploring Operation: 29/29=1, Resulting Numbers: [81, 60, 1]
Generated Node #2: [81, 60, 1] from Operation: 29/29=1
Current State: 20:[81, 60, 1], Operations: ['29/29=1']
Exploring Operation: 81-60=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 81-60=21
Current State: 20:[1, 21], Operations: ['29/29=1', '81-60=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
4,
61,
97,
69
] | 60 | [
"97-61=36",
"36/4=9",
"69-9=60"
] | Current State: 60:[4, 61, 97, 69], Operations: []
Exploring Operation: 97-61=36, Resulting Numbers: [4, 69, 36]
Generated Node #2: [4, 69, 36] from Operation: 97-61=36
Current State: 60:[4, 69, 36], Operations: ['97-61=36']
Exploring Operation: 36/4=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 36/4=9
Current State: 60:[69, 9], Operations: ['97-61=36', '36/4=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
13,
86,
7,
94
] | 44 | [
"7*94=658",
"658-86=572",
"572/13=44"
] | Current State: 44:[13, 86, 7, 94], Operations: []
Exploring Operation: 7*94=658, Resulting Numbers: [13, 86, 658]
Generated Node #2: [13, 86, 658] from Operation: 7*94=658
Current State: 44:[13, 86, 658], Operations: ['7*94=658']
Exploring Operation: 658-86=572, Resulting Numbers: [13, 572]
Generated Node #3: [13, 572] from Operation: 658-86=572
Current State: 44:[13, 572], Operations: ['7*94=658', '658-86=572']
Exploring Operation: 572/13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
40,
50,
2,
92
] | 47 | [
"40+50=90",
"90/2=45",
"92-45=47"
] | Current State: 47:[40, 50, 2, 92], Operations: []
Exploring Operation: 40+50=90, Resulting Numbers: [2, 92, 90]
Generated Node #2: [2, 92, 90] from Operation: 40+50=90
Current State: 47:[2, 92, 90], Operations: ['40+50=90']
Exploring Operation: 90/2=45, Resulting Numbers: [92, 45]
Generated Node #3: [92, 45] from Operation: 90/2=45
Current State: 47:[92, 45], Operations: ['40+50=90', '90/2=45']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
4,
94,
89,
54
] | 71 | [
"94-54=40",
"4*40=160",
"160-89=71"
] | Current State: 71:[4, 94, 89, 54], Operations: []
Exploring Operation: 94-54=40, Resulting Numbers: [4, 89, 40]
Generated Node #2: [4, 89, 40] from Operation: 94-54=40
Current State: 71:[4, 89, 40], Operations: ['94-54=40']
Exploring Operation: 4*40=160, Resulting Numbers: [89, 160]
Generated Node #3: [89, 160] from Operation: 4*40=160
Current State: 71:[89, 160], Operations: ['94-54=40', '4*40=160']
Exploring Operation: 160-89=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
78,
80,
5,
57
] | 67 | [
"80-78=2",
"5*2=10",
"57+10=67"
] | Current State: 67:[78, 80, 5, 57], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [5, 57, 2]
Generated Node #2: [5, 57, 2] from Operation: 80-78=2
Current State: 67:[5, 57, 2], Operations: ['80-78=2']
Exploring Operation: 5*2=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 5*2=10
Current State: 67:[57, 10], Operations: ['80-78=2', '5*2=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
69,
73,
72,
48
] | 71 | [
"72-69=3",
"48*3=144",
"144-73=71"
] | Current State: 71:[69, 73, 72, 48], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [73, 48, 3]
Generated Node #2: [73, 48, 3] from Operation: 72-69=3
Current State: 71:[73, 48, 3], Operations: ['72-69=3']
Exploring Operation: 48*3=144, Resulting Numbers: [73, 144]
Generated Node #3: [73, 144] from Operation: 48*3=144
Current State: 71:[73, 144], Operations: ['72-69=3', '48*3=144']
Exploring Operation: 144-73=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
86,
43,
48,
9
] | 72 | [
"86+43=129",
"48+9=57",
"129-57=72"
] | Current State: 72:[86, 43, 48, 9], Operations: []
Exploring Operation: 86+43=129, Resulting Numbers: [48, 9, 129]
Generated Node #2: [48, 9, 129] from Operation: 86+43=129
Current State: 72:[48, 9, 129], Operations: ['86+43=129']
Exploring Operation: 48+9=57, Resulting Numbers: [129, 57]
Generated Node #3: [129, 57] from Operation: 48+9=57
Current State: 72:[129, 57], Operations: ['86+43=129', '48+9=57']
Exploring Operation: 129-57=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
75,
55,
65,
75
] | 65 | [
"75-75=0",
"55*0=0",
"65+0=65"
] | Current State: 65:[75, 55, 65, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [55, 65, 0]
Generated Node #2: [55, 65, 0] from Operation: 75-75=0
Current State: 65:[55, 65, 0], Operations: ['75-75=0']
Exploring Operation: 55*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 55*0=0
Current State: 65:[65, 0], Operations: ['75-75=0', '55*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
19,
10,
75,
15
] | 28 | [
"75+15=90",
"90/10=9",
"19+9=28"
] | Current State: 28:[19, 10, 75, 15], Operations: []
Exploring Operation: 75+15=90, Resulting Numbers: [19, 10, 90]
Generated Node #2: [19, 10, 90] from Operation: 75+15=90
Current State: 28:[19, 10, 90], Operations: ['75+15=90']
Exploring Operation: 90/10=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 90/10=9
Current State: 28:[19, 9], Operations: ['75+15=90', '90/10=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
70,
6,
45,
1
] | 30 | [
"70+6=76",
"45+1=46",
"76-46=30"
] | Current State: 30:[70, 6, 45, 1], Operations: []
Exploring Operation: 70+6=76, Resulting Numbers: [45, 1, 76]
Generated Node #2: [45, 1, 76] from Operation: 70+6=76
Current State: 30:[45, 1, 76], Operations: ['70+6=76']
Exploring Operation: 45+1=46, Resulting Numbers: [76, 46]
Generated Node #3: [76, 46] from Operation: 45+1=46
Current State: 30:[76, 46], Operations: ['70+6=76', '45+1=46']
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
55,
4,
12,
30
] | 65 | [
"12/4=3",
"30/3=10",
"55+10=65"
] | Current State: 65:[55, 4, 12, 30], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [55, 30, 3]
Generated Node #2: [55, 30, 3] from Operation: 12/4=3
Current State: 65:[55, 30, 3], Operations: ['12/4=3']
Exploring Operation: 30/3=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 30/3=10
Current State: 65:[55, 10], Operations: ['12/4=3', '30/3=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
29,
26,
18,
2
] | 59 | [
"26+18=44",
"2*44=88",
"88-29=59"
] | Current State: 59:[29, 26, 18, 2], Operations: []
Exploring Operation: 26+18=44, Resulting Numbers: [29, 2, 44]
Generated Node #2: [29, 2, 44] from Operation: 26+18=44
Current State: 59:[29, 2, 44], Operations: ['26+18=44']
Exploring Operation: 2*44=88, Resulting Numbers: [29, 88]
Generated Node #3: [29, 88] from Operation: 2*44=88
Current State: 59:[29, 88], Operations: ['26+18=44', '2*44=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
66,
80,
11,
16
] | 30 | [
"66+80=146",
"11*16=176",
"176-146=30"
] | Current State: 30:[66, 80, 11, 16], Operations: []
Exploring Operation: 66+80=146, Resulting Numbers: [11, 16, 146]
Generated Node #2: [11, 16, 146] from Operation: 66+80=146
Current State: 30:[11, 16, 146], Operations: ['66+80=146']
Exploring Operation: 11*16=176, Resulting Numbers: [146, 176]
Generated Node #3: [146, 176] from Operation: 11*16=176
Current State: 30:[146, 176], Operations: ['66+80=146', '11*16=176']
Exploring Operation: 176-146=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
10,
13,
6
] | 58 | [
"14-10=4",
"13*4=52",
"6+52=58"
] | Current State: 58:[14, 10, 13, 6], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [13, 6, 4]
Generated Node #2: [13, 6, 4] from Operation: 14-10=4
Current State: 58:[13, 6, 4], Operations: ['14-10=4']
Exploring Operation: 13*4=52, Resulting Numbers: [6, 52]
Generated Node #3: [6, 52] from Operation: 13*4=52
Current State: 58:[6, 52], Operations: ['14-10=4', '13*4=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
62,
31,
93,
4
] | 66 | [
"62-31=31",
"93+4=97",
"97-31=66"
] | Current State: 66:[62, 31, 93, 4], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [93, 4, 31]
Generated Node #2: [93, 4, 31] from Operation: 62-31=31
Current State: 66:[93, 4, 31], Operations: ['62-31=31']
Exploring Operation: 93+4=97, Resulting Numbers: [31, 97]
Generated Node #3: [31, 97] from Operation: 93+4=97
Current State: 66:[31, 97], Operations: ['62-31=31', '93+4=97']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
73,
19,
76,
48
] | 87 | [
"76-73=3",
"48-19=29",
"3*29=87"
] | Current State: 87:[73, 19, 76, 48], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [19, 48, 3]
Generated Node #2: [19, 48, 3] from Operation: 76-73=3
Current State: 87:[19, 48, 3], Operations: ['76-73=3']
Exploring Operation: 48-19=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 48-19=29
Current State: 87:[3, 29], Operations: ['76-73=3', '48-19=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
93,
54,
3,
13
] | 55 | [
"93-54=39",
"3+13=16",
"39+16=55"
] | Current State: 55:[93, 54, 3, 13], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [3, 13, 39]
Generated Node #2: [3, 13, 39] from Operation: 93-54=39
Current State: 55:[3, 13, 39], Operations: ['93-54=39']
Exploring Operation: 3+13=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 3+13=16
Current State: 55:[39, 16], Operations: ['93-54=39', '3+13=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
17,
77,
28
] | 66 | [
"28-17=11",
"77/11=7",
"73-7=66"
] | Current State: 66:[73, 17, 77, 28], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [73, 77, 11]
Generated Node #2: [73, 77, 11] from Operation: 28-17=11
Current State: 66:[73, 77, 11], Operations: ['28-17=11']
Exploring Operation: 77/11=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 77/11=7
Current State: 66:[73, 7], Operations: ['28-17=11', '77/11=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
5,
40,
43,
52
] | 27 | [
"40+43=83",
"52+83=135",
"135/5=27"
] | Current State: 27:[5, 40, 43, 52], Operations: []
Exploring Operation: 40+43=83, Resulting Numbers: [5, 52, 83]
Generated Node #2: [5, 52, 83] from Operation: 40+43=83
Current State: 27:[5, 52, 83], Operations: ['40+43=83']
Exploring Operation: 52+83=135, Resulting Numbers: [5, 135]
Generated Node #3: [5, 135] from Operation: 52+83=135
Current State: 27:[5, 135], Operations: ['40+43=83', '52+83=135']
Exploring Operation: 135/5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
3,
29,
5,
21
] | 51 | [
"29-5=24",
"3*24=72",
"72-21=51"
] | Current State: 51:[3, 29, 5, 21], Operations: []
Exploring Operation: 29-5=24, Resulting Numbers: [3, 21, 24]
Generated Node #2: [3, 21, 24] from Operation: 29-5=24
Current State: 51:[3, 21, 24], Operations: ['29-5=24']
Exploring Operation: 3*24=72, Resulting Numbers: [21, 72]
Generated Node #3: [21, 72] from Operation: 3*24=72
Current State: 51:[21, 72], Operations: ['29-5=24', '3*24=72']
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
1,
28,
14,
93
] | 91 | [
"1*28=28",
"28/14=2",
"93-2=91"
] | Current State: 91:[1, 28, 14, 93], Operations: []
Exploring Operation: 1*28=28, Resulting Numbers: [14, 93, 28]
Generated Node #2: [14, 93, 28] from Operation: 1*28=28
Current State: 91:[14, 93, 28], Operations: ['1*28=28']
Exploring Operation: 28/14=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 28/14=2
Current State: 91:[93, 2], Operations: ['1*28=28', '28/14=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
52,
35,
9,
61
] | 63 | [
"35-9=26",
"52/26=2",
"61+2=63"
] | Current State: 63:[52, 35, 9, 61], Operations: []
Exploring Operation: 35-9=26, Resulting Numbers: [52, 61, 26]
Generated Node #2: [52, 61, 26] from Operation: 35-9=26
Current State: 63:[52, 61, 26], Operations: ['35-9=26']
Exploring Operation: 52/26=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 52/26=2
Current State: 63:[61, 2], Operations: ['35-9=26', '52/26=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
37,
6,
24,
42
] | 40 | [
"42-24=18",
"18/6=3",
"37+3=40"
] | Current State: 40:[37, 6, 24, 42], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [37, 6, 18]
Generated Node #2: [37, 6, 18] from Operation: 42-24=18
Current State: 40:[37, 6, 18], Operations: ['42-24=18']
Exploring Operation: 18/6=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 18/6=3
Current State: 40:[37, 3], Operations: ['42-24=18', '18/6=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
94,
93,
2,
32
] | 63 | [
"94-93=1",
"2*32=64",
"64-1=63"
] | Current State: 63:[94, 93, 2, 32], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [2, 32, 1]
Generated Node #2: [2, 32, 1] from Operation: 94-93=1
Current State: 63:[2, 32, 1], Operations: ['94-93=1']
Exploring Operation: 2*32=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 2*32=64
Current State: 63:[1, 64], Operations: ['94-93=1', '2*32=64']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
27,
41,
9
] | 35 | [
"2*27=54",
"54/9=6",
"41-6=35"
] | Current State: 35:[2, 27, 41, 9], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [41, 9, 54]
Generated Node #2: [41, 9, 54] from Operation: 2*27=54
Current State: 35:[41, 9, 54], Operations: ['2*27=54']
Exploring Operation: 54/9=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 54/9=6
Current State: 35:[41, 6], Operations: ['2*27=54', '54/9=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
96,
8,
48
] | 79 | [
"23+96=119",
"48-8=40",
"119-40=79"
] | Current State: 79:[23, 96, 8, 48], Operations: []
Exploring Operation: 23+96=119, Resulting Numbers: [8, 48, 119]
Generated Node #2: [8, 48, 119] from Operation: 23+96=119
Current State: 79:[8, 48, 119], Operations: ['23+96=119']
Exploring Operation: 48-8=40, Resulting Numbers: [119, 40]
Generated Node #3: [119, 40] from Operation: 48-8=40
Current State: 79:[119, 40], Operations: ['23+96=119', '48-8=40']
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
20,
21,
87,
30
] | 79 | [
"20*87=1740",
"1740/30=58",
"21+58=79"
] | Current State: 79:[20, 21, 87, 30], Operations: []
Exploring Operation: 20*87=1740, Resulting Numbers: [21, 30, 1740]
Generated Node #2: [21, 30, 1740] from Operation: 20*87=1740
Current State: 79:[21, 30, 1740], Operations: ['20*87=1740']
Exploring Operation: 1740/30=58, Resulting Numbers: [21, 58]
Generated Node #3: [21, 58] from Operation: 1740/30=58
Current State: 79:[21, 58], Operations: ['20*87=1740', '1740/30=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
21,
2,
42
] | 44 | [
"21-1=20",
"42-20=22",
"2*22=44"
] | Current State: 44:[1, 21, 2, 42], Operations: []
Exploring Operation: 21-1=20, Resulting Numbers: [2, 42, 20]
Generated Node #2: [2, 42, 20] from Operation: 21-1=20
Current State: 44:[2, 42, 20], Operations: ['21-1=20']
Exploring Operation: 42-20=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 42-20=22
Current State: 44:[2, 22], Operations: ['21-1=20', '42-20=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
69,
96,
74,
35
] | 12 | [
"96-69=27",
"74-35=39",
"39-27=12"
] | Current State: 12:[69, 96, 74, 35], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [74, 35, 27]
Generated Node #2: [74, 35, 27] from Operation: 96-69=27
Current State: 12:[74, 35, 27], Operations: ['96-69=27']
Exploring Operation: 74-35=39, Resulting Numbers: [27, 39]
Generated Node #3: [27, 39] from Operation: 74-35=39
Current State: 12:[27, 39], Operations: ['96-69=27', '74-35=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
48,
36,
45
] | 28 | [
"48*45=2160",
"2160/36=60",
"60-32=28"
] | Current State: 28:[32, 48, 36, 45], Operations: []
Exploring Operation: 48*45=2160, Resulting Numbers: [32, 36, 2160]
Generated Node #2: [32, 36, 2160] from Operation: 48*45=2160
Current State: 28:[32, 36, 2160], Operations: ['48*45=2160']
Exploring Operation: 2160/36=60, Resulting Numbers: [32, 60]
Generated Node #3: [32, 60] from Operation: 2160/36=60
Current State: 28:[32, 60], Operations: ['48*45=2160', '2160/36=60']
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
94,
14,
1
] | 43 | [
"94-36=58",
"14+1=15",
"58-15=43"
] | Current State: 43:[36, 94, 14, 1], Operations: []
Exploring Operation: 94-36=58, Resulting Numbers: [14, 1, 58]
Generated Node #2: [14, 1, 58] from Operation: 94-36=58
Current State: 43:[14, 1, 58], Operations: ['94-36=58']
Exploring Operation: 14+1=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 14+1=15
Current State: 43:[58, 15], Operations: ['94-36=58', '14+1=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
58,
35,
56
] | 14 | [
"89-58=31",
"35-31=4",
"56/4=14"
] | Current State: 14:[89, 58, 35, 56], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [35, 56, 31]
Generated Node #2: [35, 56, 31] from Operation: 89-58=31
Current State: 14:[35, 56, 31], Operations: ['89-58=31']
Exploring Operation: 35-31=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 35-31=4
Current State: 14:[56, 4], Operations: ['89-58=31', '35-31=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
6,
39,
26,
46
] | 55 | [
"6*39=234",
"234/26=9",
"46+9=55"
] | Current State: 55:[6, 39, 26, 46], Operations: []
Exploring Operation: 6*39=234, Resulting Numbers: [26, 46, 234]
Generated Node #2: [26, 46, 234] from Operation: 6*39=234
Current State: 55:[26, 46, 234], Operations: ['6*39=234']
Exploring Operation: 234/26=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 234/26=9
Current State: 55:[46, 9], Operations: ['6*39=234', '234/26=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
22,
19,
33,
22
] | 38 | [
"22*19=418",
"33-22=11",
"418/11=38"
] | Current State: 38:[22, 19, 33, 22], Operations: []
Exploring Operation: 22*19=418, Resulting Numbers: [33, 418]
Generated Node #2: [33, 418] from Operation: 22*19=418
Current State: 38:[33, 418], Operations: ['22*19=418']
Exploring Operation: 33-22=11, Resulting Numbers: [418, 11]
Generated Node #3: [418, 11] from Operation: 33-22=11
Current State: 38:[418, 11], Operations: ['22*19=418', '33-22=11']
Exploring Operation: 418/11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
4,
77,
41
] | 12 | [
"77-41=36",
"36/4=9",
"21-9=12"
] | Current State: 12:[21, 4, 77, 41], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [21, 4, 36]
Generated Node #2: [21, 4, 36] from Operation: 77-41=36
Current State: 12:[21, 4, 36], Operations: ['77-41=36']
Exploring Operation: 36/4=9, Resulting Numbers: [21, 9]
Generated Node #3: [21, 9] from Operation: 36/4=9
Current State: 12:[21, 9], Operations: ['77-41=36', '36/4=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
64,
3,
43,
52
] | 53 | [
"64+43=107",
"52+107=159",
"159/3=53"
] | Current State: 53:[64, 3, 43, 52], Operations: []
Exploring Operation: 64+43=107, Resulting Numbers: [3, 52, 107]
Generated Node #2: [3, 52, 107] from Operation: 64+43=107
Current State: 53:[3, 52, 107], Operations: ['64+43=107']
Exploring Operation: 52+107=159, Resulting Numbers: [3, 159]
Generated Node #3: [3, 159] from Operation: 52+107=159
Current State: 53:[3, 159], Operations: ['64+43=107', '52+107=159']
Exploring Operation: 159/3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
76,
73,
79,
29
] | 27 | [
"73+79=152",
"152/76=2",
"29-2=27"
] | Current State: 27:[76, 73, 79, 29], Operations: []
Exploring Operation: 73+79=152, Resulting Numbers: [76, 29, 152]
Generated Node #2: [76, 29, 152] from Operation: 73+79=152
Current State: 27:[76, 29, 152], Operations: ['73+79=152']
Exploring Operation: 152/76=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 152/76=2
Current State: 27:[29, 2], Operations: ['73+79=152', '152/76=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
64,
36,
99
] | 21 | [
"64-61=3",
"99-36=63",
"63/3=21"
] | Current State: 21:[61, 64, 36, 99], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [36, 99, 3]
Generated Node #2: [36, 99, 3] from Operation: 64-61=3
Current State: 21:[36, 99, 3], Operations: ['64-61=3']
Exploring Operation: 99-36=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 99-36=63
Current State: 21:[3, 63], Operations: ['64-61=3', '99-36=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
13,
39,
52
] | 14 | [
"36*39=1404",
"1404/52=27",
"27-13=14"
] | Current State: 14:[36, 13, 39, 52], Operations: []
Exploring Operation: 36*39=1404, Resulting Numbers: [13, 52, 1404]
Generated Node #2: [13, 52, 1404] from Operation: 36*39=1404
Current State: 14:[13, 52, 1404], Operations: ['36*39=1404']
Exploring Operation: 1404/52=27, Resulting Numbers: [13, 27]
Generated Node #3: [13, 27] from Operation: 1404/52=27
Current State: 14:[13, 27], Operations: ['36*39=1404', '1404/52=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
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