nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
74,
56,
24
] | 37 | [
"52-24=28",
"74*28=2072",
"2072/56=37"
] | Current State: 37:[52, 74, 56, 24], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [74, 56, 28]
Generated Node #2: [74, 56, 28] from Operation: 52-24=28
Current State: 37:[74, 56, 28], Operations: ['52-24=28']
Exploring Operation: 74*28=2072, Resulting Numbers: [56, 2072]
Generated Node #3: [56, 2072] from Operation: 74*28=2072
Current State: 37:[56, 2072], Operations: ['52-24=28', '74*28=2072']
Exploring Operation: 2072/56=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
49,
14,
46,
76
] | 59 | [
"49+14=63",
"46+76=122",
"122-63=59"
] | Current State: 59:[49, 14, 46, 76], Operations: []
Exploring Operation: 49+14=63, Resulting Numbers: [46, 76, 63]
Generated Node #2: [46, 76, 63] from Operation: 49+14=63
Current State: 59:[46, 76, 63], Operations: ['49+14=63']
Exploring Operation: 46+76=122, Resulting Numbers: [63, 122]
Generated Node #3: [63, 122] from Operation: 46+76=122
Current State: 59:[63, 122], Operations: ['49+14=63', '46+76=122']
Exploring Operation: 122-63=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
92,
68,
23,
33
] | 16 | [
"92+68=160",
"33-23=10",
"160/10=16"
] | Current State: 16:[92, 68, 23, 33], Operations: []
Exploring Operation: 92+68=160, Resulting Numbers: [23, 33, 160]
Generated Node #2: [23, 33, 160] from Operation: 92+68=160
Current State: 16:[23, 33, 160], Operations: ['92+68=160']
Exploring Operation: 33-23=10, Resulting Numbers: [160, 10]
Generated Node #3: [160, 10] from Operation: 33-23=10
Current State: 16:[160, 10], Operations: ['92+68=160', '33-23=10']
Exploring Operation: 160/10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
7,
3,
40,
49
] | 90 | [
"7+3=10",
"49-40=9",
"10*9=90"
] | Current State: 90:[7, 3, 40, 49], Operations: []
Exploring Operation: 7+3=10, Resulting Numbers: [40, 49, 10]
Generated Node #2: [40, 49, 10] from Operation: 7+3=10
Current State: 90:[40, 49, 10], Operations: ['7+3=10']
Exploring Operation: 49-40=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 49-40=9
Current State: 90:[10, 9], Operations: ['7+3=10', '49-40=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
62,
48,
16,
19
] | 27 | [
"62+19=81",
"48/16=3",
"81/3=27"
] | Current State: 27:[62, 48, 16, 19], Operations: []
Exploring Operation: 62+19=81, Resulting Numbers: [48, 16, 81]
Generated Node #2: [48, 16, 81] from Operation: 62+19=81
Current State: 27:[48, 16, 81], Operations: ['62+19=81']
Exploring Operation: 48/16=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 48/16=3
Current State: 27:[81, 3], Operations: ['62+19=81', '48/16=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
51,
98,
79
] | 54 | [
"72+51=123",
"98+79=177",
"177-123=54"
] | Current State: 54:[72, 51, 98, 79], Operations: []
Exploring Operation: 72+51=123, Resulting Numbers: [98, 79, 123]
Generated Node #2: [98, 79, 123] from Operation: 72+51=123
Current State: 54:[98, 79, 123], Operations: ['72+51=123']
Exploring Operation: 98+79=177, Resulting Numbers: [123, 177]
Generated Node #3: [123, 177] from Operation: 98+79=177
Current State: 54:[123, 177], Operations: ['72+51=123', '98+79=177']
Exploring Operation: 177-123=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
33,
55,
56,
59
] | 25 | [
"55-33=22",
"59-56=3",
"22+3=25"
] | Current State: 25:[33, 55, 56, 59], Operations: []
Exploring Operation: 55-33=22, Resulting Numbers: [56, 59, 22]
Generated Node #2: [56, 59, 22] from Operation: 55-33=22
Current State: 25:[56, 59, 22], Operations: ['55-33=22']
Exploring Operation: 59-56=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 59-56=3
Current State: 25:[22, 3], Operations: ['55-33=22', '59-56=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
31,
84,
51,
2
] | 94 | [
"51-31=20",
"20/2=10",
"84+10=94"
] | Current State: 94:[31, 84, 51, 2], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [84, 2, 20]
Generated Node #2: [84, 2, 20] from Operation: 51-31=20
Current State: 94:[84, 2, 20], Operations: ['51-31=20']
Exploring Operation: 20/2=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 20/2=10
Current State: 94:[84, 10], Operations: ['51-31=20', '20/2=10']
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
80,
51,
86,
28
] | 73 | [
"80+51=131",
"86-28=58",
"131-58=73"
] | Current State: 73:[80, 51, 86, 28], Operations: []
Exploring Operation: 80+51=131, Resulting Numbers: [86, 28, 131]
Generated Node #2: [86, 28, 131] from Operation: 80+51=131
Current State: 73:[86, 28, 131], Operations: ['80+51=131']
Exploring Operation: 86-28=58, Resulting Numbers: [131, 58]
Generated Node #3: [131, 58] from Operation: 86-28=58
Current State: 73:[131, 58], Operations: ['80+51=131', '86-28=58']
Exploring Operation: 131-58=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
99,
46,
7,
76
] | 14 | [
"99-76=23",
"46*7=322",
"322/23=14"
] | Current State: 14:[99, 46, 7, 76], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [46, 7, 23]
Generated Node #2: [46, 7, 23] from Operation: 99-76=23
Current State: 14:[46, 7, 23], Operations: ['99-76=23']
Exploring Operation: 46*7=322, Resulting Numbers: [23, 322]
Generated Node #3: [23, 322] from Operation: 46*7=322
Current State: 14:[23, 322], Operations: ['99-76=23', '46*7=322']
Exploring Operation: 322/23=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
58,
10,
11,
42
] | 100 | [
"58+42=100",
"11-10=1",
"100*1=100"
] | Current State: 100:[58, 10, 11, 42], Operations: []
Exploring Operation: 58+42=100, Resulting Numbers: [10, 11, 100]
Generated Node #2: [10, 11, 100] from Operation: 58+42=100
Current State: 100:[10, 11, 100], Operations: ['58+42=100']
Exploring Operation: 11-10=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 11-10=1
Current State: 100:[100, 1], Operations: ['58+42=100', '11-10=1']
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
81,
3,
55,
17
] | 45 | [
"81/3=27",
"55+17=72",
"72-27=45"
] | Current State: 45:[81, 3, 55, 17], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [55, 17, 27]
Generated Node #2: [55, 17, 27] from Operation: 81/3=27
Current State: 45:[55, 17, 27], Operations: ['81/3=27']
Exploring Operation: 55+17=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 55+17=72
Current State: 45:[27, 72], Operations: ['81/3=27', '55+17=72']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
52,
61,
59,
9
] | 77 | [
"61-52=9",
"59+9=68",
"9+68=77"
] | Current State: 77:[52, 61, 59, 9], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [59, 9, 9]
Generated Node #2: [59, 9, 9] from Operation: 61-52=9
Current State: 77:[59, 9, 9], Operations: ['61-52=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,77 equal: Goal Reached
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
18,
43,
39
] | 29 | [
"43-39=4",
"44/4=11",
"18+11=29"
] | Current State: 29:[44, 18, 43, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [44, 18, 4]
Generated Node #2: [44, 18, 4] from Operation: 43-39=4
Current State: 29:[44, 18, 4], Operations: ['43-39=4']
Exploring Operation: 44/4=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 44/4=11
Current State: 29:[18, 11], Operations: ['43-39=4', '44/4=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
35,
70,
76,
11
] | 85 | [
"70/35=2",
"76+11=87",
"87-2=85"
] | Current State: 85:[35, 70, 76, 11], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [76, 11, 2]
Generated Node #2: [76, 11, 2] from Operation: 70/35=2
Current State: 85:[76, 11, 2], Operations: ['70/35=2']
Exploring Operation: 76+11=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 76+11=87
Current State: 85:[2, 87], Operations: ['70/35=2', '76+11=87']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
76,
55,
90
] | 85 | [
"55-45=10",
"90/10=9",
"76+9=85"
] | Current State: 85:[45, 76, 55, 90], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [76, 90, 10]
Generated Node #2: [76, 90, 10] from Operation: 55-45=10
Current State: 85:[76, 90, 10], Operations: ['55-45=10']
Exploring Operation: 90/10=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 90/10=9
Current State: 85:[76, 9], Operations: ['55-45=10', '90/10=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
73,
7,
64,
34
] | 96 | [
"73-7=66",
"64-34=30",
"66+30=96"
] | Current State: 96:[73, 7, 64, 34], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [64, 34, 66]
Generated Node #2: [64, 34, 66] from Operation: 73-7=66
Current State: 96:[64, 34, 66], Operations: ['73-7=66']
Exploring Operation: 64-34=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 64-34=30
Current State: 96:[66, 30], Operations: ['73-7=66', '64-34=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
63,
48,
40,
11
] | 36 | [
"63-48=15",
"40+11=51",
"51-15=36"
] | Current State: 36:[63, 48, 40, 11], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [40, 11, 15]
Generated Node #2: [40, 11, 15] from Operation: 63-48=15
Current State: 36:[40, 11, 15], Operations: ['63-48=15']
Exploring Operation: 40+11=51, Resulting Numbers: [15, 51]
Generated Node #3: [15, 51] from Operation: 40+11=51
Current State: 36:[15, 51], Operations: ['63-48=15', '40+11=51']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
22,
62,
53,
64
] | 84 | [
"64-62=2",
"53*2=106",
"106-22=84"
] | Current State: 84:[22, 62, 53, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [22, 53, 2]
Generated Node #2: [22, 53, 2] from Operation: 64-62=2
Current State: 84:[22, 53, 2], Operations: ['64-62=2']
Exploring Operation: 53*2=106, Resulting Numbers: [22, 106]
Generated Node #3: [22, 106] from Operation: 53*2=106
Current State: 84:[22, 106], Operations: ['64-62=2', '53*2=106']
Exploring Operation: 106-22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
14,
78,
52
] | 22 | [
"14-10=4",
"78-52=26",
"26-4=22"
] | Current State: 22:[10, 14, 78, 52], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [78, 52, 4]
Generated Node #2: [78, 52, 4] from Operation: 14-10=4
Current State: 22:[78, 52, 4], Operations: ['14-10=4']
Exploring Operation: 78-52=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 78-52=26
Current State: 22:[4, 26], Operations: ['14-10=4', '78-52=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
48,
41,
85,
25
] | 53 | [
"48-41=7",
"85-25=60",
"60-7=53"
] | Current State: 53:[48, 41, 85, 25], Operations: []
Exploring Operation: 48-41=7, Resulting Numbers: [85, 25, 7]
Generated Node #2: [85, 25, 7] from Operation: 48-41=7
Current State: 53:[85, 25, 7], Operations: ['48-41=7']
Exploring Operation: 85-25=60, Resulting Numbers: [7, 60]
Generated Node #3: [7, 60] from Operation: 85-25=60
Current State: 53:[7, 60], Operations: ['48-41=7', '85-25=60']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
85,
30,
93,
52
] | 30 | [
"85+30=115",
"93+52=145",
"145-115=30"
] | Current State: 30:[85, 30, 93, 52], Operations: []
Exploring Operation: 85+30=115, Resulting Numbers: [93, 52, 115]
Generated Node #2: [93, 52, 115] from Operation: 85+30=115
Current State: 30:[93, 52, 115], Operations: ['85+30=115']
Exploring Operation: 93+52=145, Resulting Numbers: [115, 145]
Generated Node #3: [115, 145] from Operation: 93+52=145
Current State: 30:[115, 145], Operations: ['85+30=115', '93+52=145']
Exploring Operation: 145-115=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
2,
75,
7,
82
] | 93 | [
"2+75=77",
"77/7=11",
"82+11=93"
] | Current State: 93:[2, 75, 7, 82], Operations: []
Exploring Operation: 2+75=77, Resulting Numbers: [7, 82, 77]
Generated Node #2: [7, 82, 77] from Operation: 2+75=77
Current State: 93:[7, 82, 77], Operations: ['2+75=77']
Exploring Operation: 77/7=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 77/7=11
Current State: 93:[82, 11], Operations: ['2+75=77', '77/7=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
63,
2,
34,
96
] | 49 | [
"63+34=97",
"96/2=48",
"97-48=49"
] | Current State: 49:[63, 2, 34, 96], Operations: []
Exploring Operation: 63+34=97, Resulting Numbers: [2, 96, 97]
Generated Node #2: [2, 96, 97] from Operation: 63+34=97
Current State: 49:[2, 96, 97], Operations: ['63+34=97']
Exploring Operation: 96/2=48, Resulting Numbers: [97, 48]
Generated Node #3: [97, 48] from Operation: 96/2=48
Current State: 49:[97, 48], Operations: ['63+34=97', '96/2=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
56,
48,
25
] | 84 | [
"56-45=11",
"48+25=73",
"11+73=84"
] | Current State: 84:[45, 56, 48, 25], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [48, 25, 11]
Generated Node #2: [48, 25, 11] from Operation: 56-45=11
Current State: 84:[48, 25, 11], Operations: ['56-45=11']
Exploring Operation: 48+25=73, Resulting Numbers: [11, 73]
Generated Node #3: [11, 73] from Operation: 48+25=73
Current State: 84:[11, 73], Operations: ['56-45=11', '48+25=73']
Exploring Operation: 11+73=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
40,
86,
31
] | 93 | [
"64-40=24",
"86+31=117",
"117-24=93"
] | Current State: 93:[64, 40, 86, 31], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [86, 31, 24]
Generated Node #2: [86, 31, 24] from Operation: 64-40=24
Current State: 93:[86, 31, 24], Operations: ['64-40=24']
Exploring Operation: 86+31=117, Resulting Numbers: [24, 117]
Generated Node #3: [24, 117] from Operation: 86+31=117
Current State: 93:[24, 117], Operations: ['64-40=24', '86+31=117']
Exploring Operation: 117-24=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
4,
35,
69,
7
] | 23 | [
"4+35=39",
"69-7=62",
"62-39=23"
] | Current State: 23:[4, 35, 69, 7], Operations: []
Exploring Operation: 4+35=39, Resulting Numbers: [69, 7, 39]
Generated Node #2: [69, 7, 39] from Operation: 4+35=39
Current State: 23:[69, 7, 39], Operations: ['4+35=39']
Exploring Operation: 69-7=62, Resulting Numbers: [39, 62]
Generated Node #3: [39, 62] from Operation: 69-7=62
Current State: 23:[39, 62], Operations: ['4+35=39', '69-7=62']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
97,
30,
77,
60
] | 22 | [
"97-77=20",
"60/30=2",
"20+2=22"
] | Current State: 22:[97, 30, 77, 60], Operations: []
Exploring Operation: 97-77=20, Resulting Numbers: [30, 60, 20]
Generated Node #2: [30, 60, 20] from Operation: 97-77=20
Current State: 22:[30, 60, 20], Operations: ['97-77=20']
Exploring Operation: 60/30=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 60/30=2
Current State: 22:[20, 2], Operations: ['97-77=20', '60/30=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
66,
9,
6,
22
] | 41 | [
"66-9=57",
"22-6=16",
"57-16=41"
] | Current State: 41:[66, 9, 6, 22], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [6, 22, 57]
Generated Node #2: [6, 22, 57] from Operation: 66-9=57
Current State: 41:[6, 22, 57], Operations: ['66-9=57']
Exploring Operation: 22-6=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 22-6=16
Current State: 41:[57, 16], Operations: ['66-9=57', '22-6=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
8,
49,
15
] | 64 | [
"38-8=30",
"49-15=34",
"30+34=64"
] | Current State: 64:[38, 8, 49, 15], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [49, 15, 30]
Generated Node #2: [49, 15, 30] from Operation: 38-8=30
Current State: 64:[49, 15, 30], Operations: ['38-8=30']
Exploring Operation: 49-15=34, Resulting Numbers: [30, 34]
Generated Node #3: [30, 34] from Operation: 49-15=34
Current State: 64:[30, 34], Operations: ['38-8=30', '49-15=34']
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
84,
42,
58
] | 96 | [
"84-78=6",
"58-42=16",
"6*16=96"
] | Current State: 96:[78, 84, 42, 58], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [42, 58, 6]
Generated Node #2: [42, 58, 6] from Operation: 84-78=6
Current State: 96:[42, 58, 6], Operations: ['84-78=6']
Exploring Operation: 58-42=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 58-42=16
Current State: 96:[6, 16], Operations: ['84-78=6', '58-42=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
10,
2,
64
] | 61 | [
"28+2=30",
"30/10=3",
"64-3=61"
] | Current State: 61:[28, 10, 2, 64], Operations: []
Exploring Operation: 28+2=30, Resulting Numbers: [10, 64, 30]
Generated Node #2: [10, 64, 30] from Operation: 28+2=30
Current State: 61:[10, 64, 30], Operations: ['28+2=30']
Exploring Operation: 30/10=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 30/10=3
Current State: 61:[64, 3], Operations: ['28+2=30', '30/10=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
9,
21,
7
] | 17 | [
"9*21=189",
"189/7=27",
"27-10=17"
] | Current State: 17:[10, 9, 21, 7], Operations: []
Exploring Operation: 9*21=189, Resulting Numbers: [10, 7, 189]
Generated Node #2: [10, 7, 189] from Operation: 9*21=189
Current State: 17:[10, 7, 189], Operations: ['9*21=189']
Exploring Operation: 189/7=27, Resulting Numbers: [10, 27]
Generated Node #3: [10, 27] from Operation: 189/7=27
Current State: 17:[10, 27], Operations: ['9*21=189', '189/7=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
44,
50,
38,
20
] | 76 | [
"44+50=94",
"38-20=18",
"94-18=76"
] | Current State: 76:[44, 50, 38, 20], Operations: []
Exploring Operation: 44+50=94, Resulting Numbers: [38, 20, 94]
Generated Node #2: [38, 20, 94] from Operation: 44+50=94
Current State: 76:[38, 20, 94], Operations: ['44+50=94']
Exploring Operation: 38-20=18, Resulting Numbers: [94, 18]
Generated Node #3: [94, 18] from Operation: 38-20=18
Current State: 76:[94, 18], Operations: ['44+50=94', '38-20=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
55,
69,
26,
70
] | 28 | [
"55+69=124",
"26+70=96",
"124-96=28"
] | Current State: 28:[55, 69, 26, 70], Operations: []
Exploring Operation: 55+69=124, Resulting Numbers: [26, 70, 124]
Generated Node #2: [26, 70, 124] from Operation: 55+69=124
Current State: 28:[26, 70, 124], Operations: ['55+69=124']
Exploring Operation: 26+70=96, Resulting Numbers: [124, 96]
Generated Node #3: [124, 96] from Operation: 26+70=96
Current State: 28:[124, 96], Operations: ['55+69=124', '26+70=96']
Exploring Operation: 124-96=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
64,
63,
33,
20
] | 30 | [
"63+33=96",
"20*96=1920",
"1920/64=30"
] | Current State: 30:[64, 63, 33, 20], Operations: []
Exploring Operation: 63+33=96, Resulting Numbers: [64, 20, 96]
Generated Node #2: [64, 20, 96] from Operation: 63+33=96
Current State: 30:[64, 20, 96], Operations: ['63+33=96']
Exploring Operation: 20*96=1920, Resulting Numbers: [64, 1920]
Generated Node #3: [64, 1920] from Operation: 20*96=1920
Current State: 30:[64, 1920], Operations: ['63+33=96', '20*96=1920']
Exploring Operation: 1920/64=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
41,
22,
35
] | 66 | [
"50-41=9",
"22+35=57",
"9+57=66"
] | Current State: 66:[50, 41, 22, 35], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [22, 35, 9]
Generated Node #2: [22, 35, 9] from Operation: 50-41=9
Current State: 66:[22, 35, 9], Operations: ['50-41=9']
Exploring Operation: 22+35=57, Resulting Numbers: [9, 57]
Generated Node #3: [9, 57] from Operation: 22+35=57
Current State: 66:[9, 57], Operations: ['50-41=9', '22+35=57']
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
14,
68,
48
] | 74 | [
"37*68=2516",
"48-14=34",
"2516/34=74"
] | Current State: 74:[37, 14, 68, 48], Operations: []
Exploring Operation: 37*68=2516, Resulting Numbers: [14, 48, 2516]
Generated Node #2: [14, 48, 2516] from Operation: 37*68=2516
Current State: 74:[14, 48, 2516], Operations: ['37*68=2516']
Exploring Operation: 48-14=34, Resulting Numbers: [2516, 34]
Generated Node #3: [2516, 34] from Operation: 48-14=34
Current State: 74:[2516, 34], Operations: ['37*68=2516', '48-14=34']
Exploring Operation: 2516/34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
33,
42,
84,
6
] | 10 | [
"42-33=9",
"84+6=90",
"90/9=10"
] | Current State: 10:[33, 42, 84, 6], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [84, 6, 9]
Generated Node #2: [84, 6, 9] from Operation: 42-33=9
Current State: 10:[84, 6, 9], Operations: ['42-33=9']
Exploring Operation: 84+6=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 84+6=90
Current State: 10:[9, 90], Operations: ['42-33=9', '84+6=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
32,
5,
86,
14
] | 99 | [
"32-5=27",
"86-14=72",
"27+72=99"
] | Current State: 99:[32, 5, 86, 14], Operations: []
Exploring Operation: 32-5=27, Resulting Numbers: [86, 14, 27]
Generated Node #2: [86, 14, 27] from Operation: 32-5=27
Current State: 99:[86, 14, 27], Operations: ['32-5=27']
Exploring Operation: 86-14=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 86-14=72
Current State: 99:[27, 72], Operations: ['32-5=27', '86-14=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
38,
61,
74,
59
] | 38 | [
"61-38=23",
"74-59=15",
"23+15=38"
] | Current State: 38:[38, 61, 74, 59], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [74, 59, 23]
Generated Node #2: [74, 59, 23] from Operation: 61-38=23
Current State: 38:[74, 59, 23], Operations: ['61-38=23']
Exploring Operation: 74-59=15, Resulting Numbers: [23, 15]
Generated Node #3: [23, 15] from Operation: 74-59=15
Current State: 38:[23, 15], Operations: ['61-38=23', '74-59=15']
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
73,
61,
59,
41
] | 64 | [
"73-41=32",
"61-59=2",
"32*2=64"
] | Current State: 64:[73, 61, 59, 41], Operations: []
Exploring Operation: 73-41=32, Resulting Numbers: [61, 59, 32]
Generated Node #2: [61, 59, 32] from Operation: 73-41=32
Current State: 64:[61, 59, 32], Operations: ['73-41=32']
Exploring Operation: 61-59=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 61-59=2
Current State: 64:[32, 2], Operations: ['73-41=32', '61-59=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
65,
77,
75,
25
] | 80 | [
"65-25=40",
"77-75=2",
"40*2=80"
] | Current State: 80:[65, 77, 75, 25], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [77, 75, 40]
Generated Node #2: [77, 75, 40] from Operation: 65-25=40
Current State: 80:[77, 75, 40], Operations: ['65-25=40']
Exploring Operation: 77-75=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 77-75=2
Current State: 80:[40, 2], Operations: ['65-25=40', '77-75=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
30,
39,
8
] | 56 | [
"30-21=9",
"39+8=47",
"9+47=56"
] | Current State: 56:[21, 30, 39, 8], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [39, 8, 9]
Generated Node #2: [39, 8, 9] from Operation: 30-21=9
Current State: 56:[39, 8, 9], Operations: ['30-21=9']
Exploring Operation: 39+8=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 39+8=47
Current State: 56:[9, 47], Operations: ['30-21=9', '39+8=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
57,
16,
34
] | 58 | [
"18+16=34",
"34/34=1",
"57+1=58"
] | Current State: 58:[18, 57, 16, 34], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [57, 34, 34]
Generated Node #2: [57, 34, 34] from Operation: 18+16=34
Current State: 58:[57, 34, 34], Operations: ['18+16=34']
Exploring Operation: 34/34=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 34/34=1
Current State: 58:[57, 1], Operations: ['18+16=34', '34/34=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
68,
2,
23,
70
] | 10 | [
"68-23=45",
"70/2=35",
"45-35=10"
] | Current State: 10:[68, 2, 23, 70], Operations: []
Exploring Operation: 68-23=45, Resulting Numbers: [2, 70, 45]
Generated Node #2: [2, 70, 45] from Operation: 68-23=45
Current State: 10:[2, 70, 45], Operations: ['68-23=45']
Exploring Operation: 70/2=35, Resulting Numbers: [45, 35]
Generated Node #3: [45, 35] from Operation: 70/2=35
Current State: 10:[45, 35], Operations: ['68-23=45', '70/2=35']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
70,
31,
42,
59
] | 62 | [
"70-31=39",
"42+59=101",
"101-39=62"
] | Current State: 62:[70, 31, 42, 59], Operations: []
Exploring Operation: 70-31=39, Resulting Numbers: [42, 59, 39]
Generated Node #2: [42, 59, 39] from Operation: 70-31=39
Current State: 62:[42, 59, 39], Operations: ['70-31=39']
Exploring Operation: 42+59=101, Resulting Numbers: [39, 101]
Generated Node #3: [39, 101] from Operation: 42+59=101
Current State: 62:[39, 101], Operations: ['70-31=39', '42+59=101']
Exploring Operation: 101-39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
45,
43,
10,
65
] | 54 | [
"45+65=110",
"110/10=11",
"43+11=54"
] | Current State: 54:[45, 43, 10, 65], Operations: []
Exploring Operation: 45+65=110, Resulting Numbers: [43, 10, 110]
Generated Node #2: [43, 10, 110] from Operation: 45+65=110
Current State: 54:[43, 10, 110], Operations: ['45+65=110']
Exploring Operation: 110/10=11, Resulting Numbers: [43, 11]
Generated Node #3: [43, 11] from Operation: 110/10=11
Current State: 54:[43, 11], Operations: ['45+65=110', '110/10=11']
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
14,
76,
2,
3
] | 20 | [
"76-14=62",
"62-2=60",
"60/3=20"
] | Current State: 20:[14, 76, 2, 3], Operations: []
Exploring Operation: 76-14=62, Resulting Numbers: [2, 3, 62]
Generated Node #2: [2, 3, 62] from Operation: 76-14=62
Current State: 20:[2, 3, 62], Operations: ['76-14=62']
Exploring Operation: 62-2=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 62-2=60
Current State: 20:[3, 60], Operations: ['76-14=62', '62-2=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
17,
84,
8,
20
] | 73 | [
"17+84=101",
"8+20=28",
"101-28=73"
] | Current State: 73:[17, 84, 8, 20], Operations: []
Exploring Operation: 17+84=101, Resulting Numbers: [8, 20, 101]
Generated Node #2: [8, 20, 101] from Operation: 17+84=101
Current State: 73:[8, 20, 101], Operations: ['17+84=101']
Exploring Operation: 8+20=28, Resulting Numbers: [101, 28]
Generated Node #3: [101, 28] from Operation: 8+20=28
Current State: 73:[101, 28], Operations: ['17+84=101', '8+20=28']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
37,
41,
43,
20
] | 67 | [
"41-37=4",
"43+20=63",
"4+63=67"
] | Current State: 67:[37, 41, 43, 20], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [43, 20, 4]
Generated Node #2: [43, 20, 4] from Operation: 41-37=4
Current State: 67:[43, 20, 4], Operations: ['41-37=4']
Exploring Operation: 43+20=63, Resulting Numbers: [4, 63]
Generated Node #3: [4, 63] from Operation: 43+20=63
Current State: 67:[4, 63], Operations: ['41-37=4', '43+20=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
63,
17,
12,
72
] | 45 | [
"72-63=9",
"17-12=5",
"9*5=45"
] | Current State: 45:[63, 17, 12, 72], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [17, 12, 9]
Generated Node #2: [17, 12, 9] from Operation: 72-63=9
Current State: 45:[17, 12, 9], Operations: ['72-63=9']
Exploring Operation: 17-12=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 17-12=5
Current State: 45:[9, 5], Operations: ['72-63=9', '17-12=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
16,
47,
28
] | 55 | [
"14*16=224",
"224/28=8",
"47+8=55"
] | Current State: 55:[14, 16, 47, 28], Operations: []
Exploring Operation: 14*16=224, Resulting Numbers: [47, 28, 224]
Generated Node #2: [47, 28, 224] from Operation: 14*16=224
Current State: 55:[47, 28, 224], Operations: ['14*16=224']
Exploring Operation: 224/28=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 224/28=8
Current State: 55:[47, 8], Operations: ['14*16=224', '224/28=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
7,
85,
81,
88
] | 86 | [
"7+81=88",
"88/88=1",
"85+1=86"
] | Current State: 86:[7, 85, 81, 88], Operations: []
Exploring Operation: 7+81=88, Resulting Numbers: [85, 88, 88]
Generated Node #2: [85, 88, 88] from Operation: 7+81=88
Current State: 86:[85, 88, 88], Operations: ['7+81=88']
Exploring Operation: 88/88=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 88/88=1
Current State: 86:[85, 1], Operations: ['7+81=88', '88/88=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
51,
87,
52,
66
] | 21 | [
"52-51=1",
"87-66=21",
"1*21=21"
] | Current State: 21:[51, 87, 52, 66], Operations: []
Exploring Operation: 52-51=1, Resulting Numbers: [87, 66, 1]
Generated Node #2: [87, 66, 1] from Operation: 52-51=1
Current State: 21:[87, 66, 1], Operations: ['52-51=1']
Exploring Operation: 87-66=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 87-66=21
Current State: 21:[1, 21], Operations: ['52-51=1', '87-66=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
77,
40,
8,
27
] | 82 | [
"77+40=117",
"8+27=35",
"117-35=82"
] | Current State: 82:[77, 40, 8, 27], Operations: []
Exploring Operation: 77+40=117, Resulting Numbers: [8, 27, 117]
Generated Node #2: [8, 27, 117] from Operation: 77+40=117
Current State: 82:[8, 27, 117], Operations: ['77+40=117']
Exploring Operation: 8+27=35, Resulting Numbers: [117, 35]
Generated Node #3: [117, 35] from Operation: 8+27=35
Current State: 82:[117, 35], Operations: ['77+40=117', '8+27=35']
Exploring Operation: 117-35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
18,
98,
85,
81
] | 26 | [
"85-81=4",
"18*4=72",
"98-72=26"
] | Current State: 26:[18, 98, 85, 81], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [18, 98, 4]
Generated Node #2: [18, 98, 4] from Operation: 85-81=4
Current State: 26:[18, 98, 4], Operations: ['85-81=4']
Exploring Operation: 18*4=72, Resulting Numbers: [98, 72]
Generated Node #3: [98, 72] from Operation: 18*4=72
Current State: 26:[98, 72], Operations: ['85-81=4', '18*4=72']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
96,
68,
69,
59
] | 38 | [
"96-68=28",
"69-59=10",
"28+10=38"
] | Current State: 38:[96, 68, 69, 59], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [69, 59, 28]
Generated Node #2: [69, 59, 28] from Operation: 96-68=28
Current State: 38:[69, 59, 28], Operations: ['96-68=28']
Exploring Operation: 69-59=10, Resulting Numbers: [28, 10]
Generated Node #3: [28, 10] from Operation: 69-59=10
Current State: 38:[28, 10], Operations: ['96-68=28', '69-59=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
45,
55,
54
] | 57 | [
"55*54=2970",
"2970/45=66",
"66-9=57"
] | Current State: 57:[9, 45, 55, 54], Operations: []
Exploring Operation: 55*54=2970, Resulting Numbers: [9, 45, 2970]
Generated Node #2: [9, 45, 2970] from Operation: 55*54=2970
Current State: 57:[9, 45, 2970], Operations: ['55*54=2970']
Exploring Operation: 2970/45=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 2970/45=66
Current State: 57:[9, 66], Operations: ['55*54=2970', '2970/45=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
48,
27,
74,
66
] | 31 | [
"27*74=1998",
"48+1998=2046",
"2046/66=31"
] | Current State: 31:[48, 27, 74, 66], Operations: []
Exploring Operation: 27*74=1998, Resulting Numbers: [48, 66, 1998]
Generated Node #2: [48, 66, 1998] from Operation: 27*74=1998
Current State: 31:[48, 66, 1998], Operations: ['27*74=1998']
Exploring Operation: 48+1998=2046, Resulting Numbers: [66, 2046]
Generated Node #3: [66, 2046] from Operation: 48+1998=2046
Current State: 31:[66, 2046], Operations: ['27*74=1998', '48+1998=2046']
Exploring Operation: 2046/66=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
28,
36,
26,
2
] | 77 | [
"28+36=64",
"26/2=13",
"64+13=77"
] | Current State: 77:[28, 36, 26, 2], Operations: []
Exploring Operation: 28+36=64, Resulting Numbers: [26, 2, 64]
Generated Node #2: [26, 2, 64] from Operation: 28+36=64
Current State: 77:[26, 2, 64], Operations: ['28+36=64']
Exploring Operation: 26/2=13, Resulting Numbers: [64, 13]
Generated Node #3: [64, 13] from Operation: 26/2=13
Current State: 77:[64, 13], Operations: ['28+36=64', '26/2=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
35,
96,
5
] | 82 | [
"96-3=93",
"35*5=175",
"175-93=82"
] | Current State: 82:[3, 35, 96, 5], Operations: []
Exploring Operation: 96-3=93, Resulting Numbers: [35, 5, 93]
Generated Node #2: [35, 5, 93] from Operation: 96-3=93
Current State: 82:[35, 5, 93], Operations: ['96-3=93']
Exploring Operation: 35*5=175, Resulting Numbers: [93, 175]
Generated Node #3: [93, 175] from Operation: 35*5=175
Current State: 82:[93, 175], Operations: ['96-3=93', '35*5=175']
Exploring Operation: 175-93=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
76,
52,
65,
78
] | 11 | [
"76-52=24",
"78-65=13",
"24-13=11"
] | Current State: 11:[76, 52, 65, 78], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [65, 78, 24]
Generated Node #2: [65, 78, 24] from Operation: 76-52=24
Current State: 11:[65, 78, 24], Operations: ['76-52=24']
Exploring Operation: 78-65=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 78-65=13
Current State: 11:[24, 13], Operations: ['76-52=24', '78-65=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
65,
88,
96,
89
] | 31 | [
"96-65=31",
"89-88=1",
"31*1=31"
] | Current State: 31:[65, 88, 96, 89], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [88, 89, 31]
Generated Node #2: [88, 89, 31] from Operation: 96-65=31
Current State: 31:[88, 89, 31], Operations: ['96-65=31']
Exploring Operation: 89-88=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 89-88=1
Current State: 31:[31, 1], Operations: ['96-65=31', '89-88=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
70,
18,
13,
50
] | 20 | [
"70*18=1260",
"13+50=63",
"1260/63=20"
] | Current State: 20:[70, 18, 13, 50], Operations: []
Exploring Operation: 70*18=1260, Resulting Numbers: [13, 50, 1260]
Generated Node #2: [13, 50, 1260] from Operation: 70*18=1260
Current State: 20:[13, 50, 1260], Operations: ['70*18=1260']
Exploring Operation: 13+50=63, Resulting Numbers: [1260, 63]
Generated Node #3: [1260, 63] from Operation: 13+50=63
Current State: 20:[1260, 63], Operations: ['70*18=1260', '13+50=63']
Exploring Operation: 1260/63=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
9,
1,
63,
25
] | 98 | [
"9+1=10",
"63+25=88",
"10+88=98"
] | Current State: 98:[9, 1, 63, 25], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [63, 25, 10]
Generated Node #2: [63, 25, 10] from Operation: 9+1=10
Current State: 98:[63, 25, 10], Operations: ['9+1=10']
Exploring Operation: 63+25=88, Resulting Numbers: [10, 88]
Generated Node #3: [10, 88] from Operation: 63+25=88
Current State: 98:[10, 88], Operations: ['9+1=10', '63+25=88']
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
76,
89,
38,
80
] | 11 | [
"76/38=2",
"89-80=9",
"2+9=11"
] | Current State: 11:[76, 89, 38, 80], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [89, 80, 2]
Generated Node #2: [89, 80, 2] from Operation: 76/38=2
Current State: 11:[89, 80, 2], Operations: ['76/38=2']
Exploring Operation: 89-80=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 89-80=9
Current State: 11:[2, 9], Operations: ['76/38=2', '89-80=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
54,
91,
55
] | 18 | [
"91-55=36",
"2*36=72",
"72-54=18"
] | Current State: 18:[2, 54, 91, 55], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [2, 54, 36]
Generated Node #2: [2, 54, 36] from Operation: 91-55=36
Current State: 18:[2, 54, 36], Operations: ['91-55=36']
Exploring Operation: 2*36=72, Resulting Numbers: [54, 72]
Generated Node #3: [54, 72] from Operation: 2*36=72
Current State: 18:[54, 72], Operations: ['91-55=36', '2*36=72']
Exploring Operation: 72-54=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
75,
34,
65,
16
] | 60 | [
"75+34=109",
"65-16=49",
"109-49=60"
] | Current State: 60:[75, 34, 65, 16], Operations: []
Exploring Operation: 75+34=109, Resulting Numbers: [65, 16, 109]
Generated Node #2: [65, 16, 109] from Operation: 75+34=109
Current State: 60:[65, 16, 109], Operations: ['75+34=109']
Exploring Operation: 65-16=49, Resulting Numbers: [109, 49]
Generated Node #3: [109, 49] from Operation: 65-16=49
Current State: 60:[109, 49], Operations: ['75+34=109', '65-16=49']
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
37,
15,
9,
7
] | 67 | [
"9-7=2",
"15*2=30",
"37+30=67"
] | Current State: 67:[37, 15, 9, 7], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [37, 15, 2]
Generated Node #2: [37, 15, 2] from Operation: 9-7=2
Current State: 67:[37, 15, 2], Operations: ['9-7=2']
Exploring Operation: 15*2=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 15*2=30
Current State: 67:[37, 30], Operations: ['9-7=2', '15*2=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
47,
15,
83,
70
] | 25 | [
"15*83=1245",
"1245-70=1175",
"1175/47=25"
] | Current State: 25:[47, 15, 83, 70], Operations: []
Exploring Operation: 15*83=1245, Resulting Numbers: [47, 70, 1245]
Generated Node #2: [47, 70, 1245] from Operation: 15*83=1245
Current State: 25:[47, 70, 1245], Operations: ['15*83=1245']
Exploring Operation: 1245-70=1175, Resulting Numbers: [47, 1175]
Generated Node #3: [47, 1175] from Operation: 1245-70=1175
Current State: 25:[47, 1175], Operations: ['15*83=1245', '1245-70=1175']
Exploring Operation: 1175/47=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
93,
31,
15
] | 39 | [
"93/31=3",
"15*3=45",
"84-45=39"
] | Current State: 39:[84, 93, 31, 15], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [84, 15, 3]
Generated Node #2: [84, 15, 3] from Operation: 93/31=3
Current State: 39:[84, 15, 3], Operations: ['93/31=3']
Exploring Operation: 15*3=45, Resulting Numbers: [84, 45]
Generated Node #3: [84, 45] from Operation: 15*3=45
Current State: 39:[84, 45], Operations: ['93/31=3', '15*3=45']
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
94,
31,
2,
40
] | 46 | [
"94-31=63",
"63-40=23",
"2*23=46"
] | Current State: 46:[94, 31, 2, 40], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [2, 40, 63]
Generated Node #2: [2, 40, 63] from Operation: 94-31=63
Current State: 46:[2, 40, 63], Operations: ['94-31=63']
Exploring Operation: 63-40=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 63-40=23
Current State: 46:[2, 23], Operations: ['94-31=63', '63-40=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
32,
36,
21,
76
] | 18 | [
"32+76=108",
"108/36=3",
"21-3=18"
] | Current State: 18:[32, 36, 21, 76], Operations: []
Exploring Operation: 32+76=108, Resulting Numbers: [36, 21, 108]
Generated Node #2: [36, 21, 108] from Operation: 32+76=108
Current State: 18:[36, 21, 108], Operations: ['32+76=108']
Exploring Operation: 108/36=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 108/36=3
Current State: 18:[21, 3], Operations: ['32+76=108', '108/36=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
85,
83,
75,
47
] | 56 | [
"85-83=2",
"75-47=28",
"2*28=56"
] | Current State: 56:[85, 83, 75, 47], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [75, 47, 2]
Generated Node #2: [75, 47, 2] from Operation: 85-83=2
Current State: 56:[75, 47, 2], Operations: ['85-83=2']
Exploring Operation: 75-47=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 75-47=28
Current State: 56:[2, 28], Operations: ['85-83=2', '75-47=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
47,
38,
81
] | 44 | [
"47-38=9",
"81/9=9",
"53-9=44"
] | Current State: 44:[53, 47, 38, 81], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [53, 81, 9]
Generated Node #2: [53, 81, 9] from Operation: 47-38=9
Current State: 44:[53, 81, 9], Operations: ['47-38=9']
Exploring Operation: 81/9=9, Resulting Numbers: [53, 9]
Generated Node #3: [53, 9] from Operation: 81/9=9
Current State: 44:[53, 9], Operations: ['47-38=9', '81/9=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
44,
9,
17,
78
] | 75 | [
"44-17=27",
"27/9=3",
"78-3=75"
] | Current State: 75:[44, 9, 17, 78], Operations: []
Exploring Operation: 44-17=27, Resulting Numbers: [9, 78, 27]
Generated Node #2: [9, 78, 27] from Operation: 44-17=27
Current State: 75:[9, 78, 27], Operations: ['44-17=27']
Exploring Operation: 27/9=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 27/9=3
Current State: 75:[78, 3], Operations: ['44-17=27', '27/9=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
29,
4,
71,
55
] | 50 | [
"29+55=84",
"84/4=21",
"71-21=50"
] | Current State: 50:[29, 4, 71, 55], Operations: []
Exploring Operation: 29+55=84, Resulting Numbers: [4, 71, 84]
Generated Node #2: [4, 71, 84] from Operation: 29+55=84
Current State: 50:[4, 71, 84], Operations: ['29+55=84']
Exploring Operation: 84/4=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 84/4=21
Current State: 50:[71, 21], Operations: ['29+55=84', '84/4=21']
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
45,
72,
20
] | 54 | [
"80-20=60",
"45*72=3240",
"3240/60=54"
] | Current State: 54:[80, 45, 72, 20], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [45, 72, 60]
Generated Node #2: [45, 72, 60] from Operation: 80-20=60
Current State: 54:[45, 72, 60], Operations: ['80-20=60']
Exploring Operation: 45*72=3240, Resulting Numbers: [60, 3240]
Generated Node #3: [60, 3240] from Operation: 45*72=3240
Current State: 54:[60, 3240], Operations: ['80-20=60', '45*72=3240']
Exploring Operation: 3240/60=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
50,
53,
68,
38
] | 10 | [
"53-50=3",
"68-38=30",
"30/3=10"
] | Current State: 10:[50, 53, 68, 38], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [68, 38, 3]
Generated Node #2: [68, 38, 3] from Operation: 53-50=3
Current State: 10:[68, 38, 3], Operations: ['53-50=3']
Exploring Operation: 68-38=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 68-38=30
Current State: 10:[3, 30], Operations: ['53-50=3', '68-38=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
94,
27,
52,
2
] | 67 | [
"94+27=121",
"52+2=54",
"121-54=67"
] | Current State: 67:[94, 27, 52, 2], Operations: []
Exploring Operation: 94+27=121, Resulting Numbers: [52, 2, 121]
Generated Node #2: [52, 2, 121] from Operation: 94+27=121
Current State: 67:[52, 2, 121], Operations: ['94+27=121']
Exploring Operation: 52+2=54, Resulting Numbers: [121, 54]
Generated Node #3: [121, 54] from Operation: 52+2=54
Current State: 67:[121, 54], Operations: ['94+27=121', '52+2=54']
Exploring Operation: 121-54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
5,
14,
56
] | 10 | [
"5*56=280",
"280/14=20",
"20-10=10"
] | Current State: 10:[10, 5, 14, 56], Operations: []
Exploring Operation: 5*56=280, Resulting Numbers: [10, 14, 280]
Generated Node #2: [10, 14, 280] from Operation: 5*56=280
Current State: 10:[10, 14, 280], Operations: ['5*56=280']
Exploring Operation: 280/14=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 280/14=20
Current State: 10:[10, 20], Operations: ['5*56=280', '280/14=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
99,
33,
59,
44
] | 30 | [
"99-59=40",
"33*40=1320",
"1320/44=30"
] | Current State: 30:[99, 33, 59, 44], Operations: []
Exploring Operation: 99-59=40, Resulting Numbers: [33, 44, 40]
Generated Node #2: [33, 44, 40] from Operation: 99-59=40
Current State: 30:[33, 44, 40], Operations: ['99-59=40']
Exploring Operation: 33*40=1320, Resulting Numbers: [44, 1320]
Generated Node #3: [44, 1320] from Operation: 33*40=1320
Current State: 30:[44, 1320], Operations: ['99-59=40', '33*40=1320']
Exploring Operation: 1320/44=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
85,
14,
4
] | 41 | [
"35*4=140",
"85+14=99",
"140-99=41"
] | Current State: 41:[35, 85, 14, 4], Operations: []
Exploring Operation: 35*4=140, Resulting Numbers: [85, 14, 140]
Generated Node #2: [85, 14, 140] from Operation: 35*4=140
Current State: 41:[85, 14, 140], Operations: ['35*4=140']
Exploring Operation: 85+14=99, Resulting Numbers: [140, 99]
Generated Node #3: [140, 99] from Operation: 85+14=99
Current State: 41:[140, 99], Operations: ['35*4=140', '85+14=99']
Exploring Operation: 140-99=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
6,
54,
88,
1
] | 28 | [
"6+54=60",
"88*1=88",
"88-60=28"
] | Current State: 28:[6, 54, 88, 1], Operations: []
Exploring Operation: 6+54=60, Resulting Numbers: [88, 1, 60]
Generated Node #2: [88, 1, 60] from Operation: 6+54=60
Current State: 28:[88, 1, 60], Operations: ['6+54=60']
Exploring Operation: 88*1=88, Resulting Numbers: [60, 88]
Generated Node #3: [60, 88] from Operation: 88*1=88
Current State: 28:[60, 88], Operations: ['6+54=60', '88*1=88']
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
27,
61,
45
] | 85 | [
"61-27=34",
"45*34=1530",
"1530/18=85"
] | Current State: 85:[18, 27, 61, 45], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [18, 45, 34]
Generated Node #2: [18, 45, 34] from Operation: 61-27=34
Current State: 85:[18, 45, 34], Operations: ['61-27=34']
Exploring Operation: 45*34=1530, Resulting Numbers: [18, 1530]
Generated Node #3: [18, 1530] from Operation: 45*34=1530
Current State: 85:[18, 1530], Operations: ['61-27=34', '45*34=1530']
Exploring Operation: 1530/18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
74,
76,
24,
48
] | 38 | [
"74-24=50",
"50-48=2",
"76/2=38"
] | Current State: 38:[74, 76, 24, 48], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [76, 48, 50]
Generated Node #2: [76, 48, 50] from Operation: 74-24=50
Current State: 38:[76, 48, 50], Operations: ['74-24=50']
Exploring Operation: 50-48=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 50-48=2
Current State: 38:[76, 2], Operations: ['74-24=50', '50-48=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
12,
50,
24,
36
] | 77 | [
"36/12=3",
"50+24=74",
"3+74=77"
] | Current State: 77:[12, 50, 24, 36], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [50, 24, 3]
Generated Node #2: [50, 24, 3] from Operation: 36/12=3
Current State: 77:[50, 24, 3], Operations: ['36/12=3']
Exploring Operation: 50+24=74, Resulting Numbers: [3, 74]
Generated Node #3: [3, 74] from Operation: 50+24=74
Current State: 77:[3, 74], Operations: ['36/12=3', '50+24=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
14,
28,
31,
42
] | 47 | [
"31*42=1302",
"14+1302=1316",
"1316/28=47"
] | Current State: 47:[14, 28, 31, 42], Operations: []
Exploring Operation: 31*42=1302, Resulting Numbers: [14, 28, 1302]
Generated Node #2: [14, 28, 1302] from Operation: 31*42=1302
Current State: 47:[14, 28, 1302], Operations: ['31*42=1302']
Exploring Operation: 14+1302=1316, Resulting Numbers: [28, 1316]
Generated Node #3: [28, 1316] from Operation: 14+1302=1316
Current State: 47:[28, 1316], Operations: ['31*42=1302', '14+1302=1316']
Exploring Operation: 1316/28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
11,
2,
78,
83
] | 45 | [
"11-2=9",
"83-78=5",
"9*5=45"
] | Current State: 45:[11, 2, 78, 83], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [78, 83, 9]
Generated Node #2: [78, 83, 9] from Operation: 11-2=9
Current State: 45:[78, 83, 9], Operations: ['11-2=9']
Exploring Operation: 83-78=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 83-78=5
Current State: 45:[9, 5], Operations: ['11-2=9', '83-78=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
47,
80,
4,
57
] | 46 | [
"47+80=127",
"57+127=184",
"184/4=46"
] | Current State: 46:[47, 80, 4, 57], Operations: []
Exploring Operation: 47+80=127, Resulting Numbers: [4, 57, 127]
Generated Node #2: [4, 57, 127] from Operation: 47+80=127
Current State: 46:[4, 57, 127], Operations: ['47+80=127']
Exploring Operation: 57+127=184, Resulting Numbers: [4, 184]
Generated Node #3: [4, 184] from Operation: 57+127=184
Current State: 46:[4, 184], Operations: ['47+80=127', '57+127=184']
Exploring Operation: 184/4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
76,
28,
9,
33
] | 62 | [
"76+28=104",
"9+33=42",
"104-42=62"
] | Current State: 62:[76, 28, 9, 33], Operations: []
Exploring Operation: 76+28=104, Resulting Numbers: [9, 33, 104]
Generated Node #2: [9, 33, 104] from Operation: 76+28=104
Current State: 62:[9, 33, 104], Operations: ['76+28=104']
Exploring Operation: 9+33=42, Resulting Numbers: [104, 42]
Generated Node #3: [104, 42] from Operation: 9+33=42
Current State: 62:[104, 42], Operations: ['76+28=104', '9+33=42']
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
35,
54,
42,
24
] | 74 | [
"35*24=840",
"840/42=20",
"54+20=74"
] | Current State: 74:[35, 54, 42, 24], Operations: []
Exploring Operation: 35*24=840, Resulting Numbers: [54, 42, 840]
Generated Node #2: [54, 42, 840] from Operation: 35*24=840
Current State: 74:[54, 42, 840], Operations: ['35*24=840']
Exploring Operation: 840/42=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 840/42=20
Current State: 74:[54, 20], Operations: ['35*24=840', '840/42=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
3,
27,
73,
8
] | 51 | [
"3+27=30",
"73+8=81",
"81-30=51"
] | Current State: 51:[3, 27, 73, 8], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [73, 8, 30]
Generated Node #2: [73, 8, 30] from Operation: 3+27=30
Current State: 51:[73, 8, 30], Operations: ['3+27=30']
Exploring Operation: 73+8=81, Resulting Numbers: [30, 81]
Generated Node #3: [30, 81] from Operation: 73+8=81
Current State: 51:[30, 81], Operations: ['3+27=30', '73+8=81']
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
49,
42,
10
] | 27 | [
"49+42=91",
"91-10=81",
"81/3=27"
] | Current State: 27:[3, 49, 42, 10], Operations: []
Exploring Operation: 49+42=91, Resulting Numbers: [3, 10, 91]
Generated Node #2: [3, 10, 91] from Operation: 49+42=91
Current State: 27:[3, 10, 91], Operations: ['49+42=91']
Exploring Operation: 91-10=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 91-10=81
Current State: 27:[3, 81], Operations: ['49+42=91', '91-10=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
28,
1,
82,
82
] | 29 | [
"28+1=29",
"82-82=0",
"29+0=29"
] | Current State: 29:[28, 1, 82, 82], Operations: []
Exploring Operation: 28+1=29, Resulting Numbers: [82, 82, 29]
Generated Node #2: [82, 82, 29] from Operation: 28+1=29
Current State: 29:[82, 82, 29], Operations: ['28+1=29']
Exploring Operation: 82-82=0, Resulting Numbers: [29, 0]
Generated Node #3: [29, 0] from Operation: 82-82=0
Current State: 29:[29, 0], Operations: ['28+1=29', '82-82=0']
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
70,
18,
84,
22
] | 48 | [
"18+22=40",
"84*40=3360",
"3360/70=48"
] | Current State: 48:[70, 18, 84, 22], Operations: []
Exploring Operation: 18+22=40, Resulting Numbers: [70, 84, 40]
Generated Node #2: [70, 84, 40] from Operation: 18+22=40
Current State: 48:[70, 84, 40], Operations: ['18+22=40']
Exploring Operation: 84*40=3360, Resulting Numbers: [70, 3360]
Generated Node #3: [70, 3360] from Operation: 84*40=3360
Current State: 48:[70, 3360], Operations: ['18+22=40', '84*40=3360']
Exploring Operation: 3360/70=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
37,
9,
41,
41
] | 37 | [
"41-41=0",
"9*0=0",
"37+0=37"
] | Current State: 37:[37, 9, 41, 41], Operations: []
Exploring Operation: 41-41=0, Resulting Numbers: [37, 9, 0]
Generated Node #2: [37, 9, 0] from Operation: 41-41=0
Current State: 37:[37, 9, 0], Operations: ['41-41=0']
Exploring Operation: 9*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 9*0=0
Current State: 37:[37, 0], Operations: ['41-41=0', '9*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
12,
53,
3
] | 14 | [
"73+53=126",
"12-3=9",
"126/9=14"
] | Current State: 14:[73, 12, 53, 3], Operations: []
Exploring Operation: 73+53=126, Resulting Numbers: [12, 3, 126]
Generated Node #2: [12, 3, 126] from Operation: 73+53=126
Current State: 14:[12, 3, 126], Operations: ['73+53=126']
Exploring Operation: 12-3=9, Resulting Numbers: [126, 9]
Generated Node #3: [126, 9] from Operation: 12-3=9
Current State: 14:[126, 9], Operations: ['73+53=126', '12-3=9']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
17,
44,
18
] | 47 | [
"92+17=109",
"44+18=62",
"109-62=47"
] | Current State: 47:[92, 17, 44, 18], Operations: []
Exploring Operation: 92+17=109, Resulting Numbers: [44, 18, 109]
Generated Node #2: [44, 18, 109] from Operation: 92+17=109
Current State: 47:[44, 18, 109], Operations: ['92+17=109']
Exploring Operation: 44+18=62, Resulting Numbers: [109, 62]
Generated Node #3: [109, 62] from Operation: 44+18=62
Current State: 47:[109, 62], Operations: ['92+17=109', '44+18=62']
Exploring Operation: 109-62=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
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